[Mplayer-cvslog] CVS: main/libfaad2 Makefile, 1.2, 1.3 README, 1.1, 1.2 analysis.h, 1.1, 1.2 bits.c, 1.2, 1.3 bits.h, 1.3, 1.4 cfft.c, 1.2, 1.3 cfft.h, 1.1, 1.2 cfft_tab.h, 1.2, 1.3 common.c, 1.2, 1.3 common.h, 1.3, 1.4 decoder.c, 1.2, 1.3 decoder.h, 1.2, 1.3 drc.c, 1.2, 1.3 drc.h, 1.1, 1.2 error.c, 1.1, 1.2 error.h, 1.1, 1.2 faad.h, 1.2, 1.3 filtbank.c, 1.2, 1.3 filtbank.h, 1.2, 1.3 fixed.h, 1.2, 1.3 hcr.c, 1.2, 1.3 huffman.c, 1.1, 1.2 huffman.h, 1.2, 1.3 ic_predict.c, 1.1, 1.2 ic_predict.h, 1.1, 1.2 iq_table.h, 1.2, 1.3 is.c, 1.2, 1.3 is.h, 1.2, 1.3 kbd_win.h, 1.2, 1.3 lt_predict.c, 1.2, 1.3 lt_predict.h, 1.2, 1.3 mdct.c, 1.2, 1.3 mdct.h, 1.2, 1.3 mp4.c, 1.2, 1.3 mp4.h, 1.2, 1.3 ms.c, 1.2, 1.3 ms.h, 1.2, 1.3 output.c, 1.2, 1.3 output.h, 1.2, 1.3 pns.c, 1.2, 1.3 pns.h, 1.2, 1.3 pulse.c, 1.2, 1.3 pulse.h, 1.2, 1.3 rvlc.c, 1.2, 1.3 rvlc.h, 1.2, 1.3 sbr_dct.c, 1.2, 1.3 sbr_dct.h, 1.2, 1.3 sbr_dec.c, 1.2, 1.3 sbr_dec.h, 1.2, 1.3 sbr_e_nf.c, 1.2, 1.3 sbr_e_nf.h, 1.2, 1.3 sbr_fbt.c, 1.2, 1.3 sbr_fbt.h, 1.2, 1.3 sbr_hfadj.c, 1.2, 1.3 sbr_hfadj.h, 1.2, 1.3 sbr_hfgen.c, 1.2, 1.3 sbr_hfgen.h, 1.2, 1.3 sbr_huff.c, 1.2, 1.3 sbr_huff.h, 1.2, 1.3 sbr_noise.h, 1.2, 1.3 sbr_qmf.c, 1.2, 1.3 sbr_qmf.h, 1.2, 1.3 sbr_qmf_c.h, 1.1, 1.2 sbr_syntax.c, 1.2, 1.3 sbr_syntax.h, 1.2, 1.3 sbr_tf_grid.c, 1.2, 1.3 sbr_tf_grid.h, 1.2, 1.3 sine_win.h, 1.2, 1.3 specrec.c, 1.2, 1.3 specrec.h, 1.2, 1.3 ssr.c, 1.2, 1.3 ssr.h, 1.2, 1.3 ssr_fb.c, 1.2, 1.3 ssr_fb.h, 1.2, 1.3 ssr_ipqf.c, 1.2, 1.3 ssr_ipqf.h, 1.2, 1.3 ssr_win.h, 1.2, 1.3 structs.h, 1.2, 1.3 syntax.c, 1.2, 1.3 syntax.h, 1.2, 1.3 tns.c, 1.2, 1.3 tns.h, 1.2, 1.3 config.h, 1.2, NONE dither.c, 1.2, NONE dither.h, 1.2, NONE
Diego Biurrun CVS
syncmail at mplayerhq.hu
Thu Jun 3 00:59:09 CEST 2004
CVS change done by Diego Biurrun CVS
Update of /cvsroot/mplayer/main/libfaad2
In directory mail:/var2/tmp/cvs-serv8359/libfaad2
Modified Files:
Makefile README analysis.h bits.c bits.h cfft.c cfft.h
cfft_tab.h common.c common.h decoder.c decoder.h drc.c drc.h
error.c error.h faad.h filtbank.c filtbank.h fixed.h hcr.c
huffman.c huffman.h ic_predict.c ic_predict.h iq_table.h is.c
is.h kbd_win.h lt_predict.c lt_predict.h mdct.c mdct.h mp4.c
mp4.h ms.c ms.h output.c output.h pns.c pns.h pulse.c pulse.h
rvlc.c rvlc.h sbr_dct.c sbr_dct.h sbr_dec.c sbr_dec.h
sbr_e_nf.c sbr_e_nf.h sbr_fbt.c sbr_fbt.h sbr_hfadj.c
sbr_hfadj.h sbr_hfgen.c sbr_hfgen.h sbr_huff.c sbr_huff.h
sbr_noise.h sbr_qmf.c sbr_qmf.h sbr_qmf_c.h sbr_syntax.c
sbr_syntax.h sbr_tf_grid.c sbr_tf_grid.h sine_win.h specrec.c
specrec.h ssr.c ssr.h ssr_fb.c ssr_fb.h ssr_ipqf.c ssr_ipqf.h
ssr_win.h structs.h syntax.c syntax.h tns.c tns.h
Removed Files:
config.h dither.c dither.h
Log Message:
update to the 2.0 release of faad, patch by adland
Index: Makefile
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/Makefile,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- Makefile 3 Oct 2003 22:22:27 -0000 1.2
+++ Makefile 2 Jun 2004 22:59:02 -0000 1.3
@@ -3,7 +3,7 @@
include ../config.mak
-SRCS = bits.c cfft.c common.c decoder.c dither.c drc.c error.c filtbank.c hcr.c huffman.c ic_predict.c is.c lt_predict.c mdct.c mp4.c ms.c output.c pns.c pulse.c rvlc.c sbr_dct.c sbr_dec.c sbr_e_nf.c sbr_fbt.c sbr_hfadj.c sbr_hfgen.c sbr_huff.c sbr_qmf.c sbr_syntax.c sbr_tf_grid.c specrec.c ssr.c ssr_fb.c ssr_ipqf.c syntax.c tns.c
+SRCS = bits.c cfft.c common.c decoder.c drc.c error.c filtbank.c hcr.c huffman.c ic_predict.c is.c lt_predict.c mdct.c mp4.c ms.c output.c pns.c pulse.c rvlc.c sbr_dct.c sbr_dec.c sbr_e_nf.c sbr_fbt.c sbr_hfadj.c sbr_hfgen.c sbr_huff.c sbr_qmf.c sbr_syntax.c sbr_tf_grid.c specrec.c ssr.c ssr_fb.c ssr_ipqf.c syntax.c tns.c
OBJS = $(SRCS:.c=.o)
CFLAGS = -I. $(OPTFLAGS)
Index: README
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/README,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- README 30 Aug 2003 22:30:21 -0000 1.1
+++ README 2 Jun 2004 22:59:02 -0000 1.2
@@ -1 +1 @@
-files from libfaad v2.0rc1 tarball's libfaad/ and include/ subdir
+files from libfaad v2.0 tarball's libfaad/ and include/ subdir
Index: analysis.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/analysis.h,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- analysis.h 30 Aug 2003 22:30:21 -0000 1.1
+++ analysis.h 2 Jun 2004 22:59:02 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: bits.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/bits.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- bits.c 3 Oct 2003 22:22:27 -0000 1.2
+++ bits.c 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -33,7 +33,7 @@
#include "bits.h"
/* initialize buffer, call once before first getbits or showbits */
-void faad_initbits(bitfile *ld, void *_buffer, uint32_t buffer_size)
+void faad_initbits(bitfile *ld, const void *_buffer, const uint32_t buffer_size)
{
uint32_t tmp;
@@ -49,22 +49,16 @@
return;
}
- ld->buffer = malloc((buffer_size+12)*sizeof(uint8_t));
+ ld->buffer = faad_malloc((buffer_size+12)*sizeof(uint8_t));
memset(ld->buffer, 0, (buffer_size+12)*sizeof(uint8_t));
memcpy(ld->buffer, _buffer, buffer_size*sizeof(uint8_t));
ld->buffer_size = buffer_size;
tmp = getdword((uint32_t*)ld->buffer);
-#ifndef ARCH_IS_BIG_ENDIAN
- BSWAP(tmp);
-#endif
ld->bufa = tmp;
tmp = getdword((uint32_t*)ld->buffer + 1);
-#ifndef ARCH_IS_BIG_ENDIAN
- BSWAP(tmp);
-#endif
ld->bufb = tmp;
ld->start = (uint32_t*)ld->buffer;
@@ -80,7 +74,13 @@
void faad_endbits(bitfile *ld)
{
if (ld)
- if (ld->buffer) free(ld->buffer);
+ {
+ if (ld->buffer)
+ {
+ faad_free(ld->buffer);
+ ld->buffer = NULL;
+ }
+ }
}
uint32_t faad_get_processed_bits(bitfile *ld)
@@ -105,11 +105,13 @@
uint32_t tmp;
ld->bufa = ld->bufb;
- tmp = getdword(ld->tail);
- ld->tail++;
-#ifndef ARCH_IS_BIG_ENDIAN
- BSWAP(tmp);
-#endif
+ if (ld->no_more_reading == 0)
+ {
+ tmp = getdword(ld->tail);
+ ld->tail++;
+ } else {
+ tmp = 0;
+ }
ld->bufb = tmp;
ld->bits_left += (32 - bits);
ld->bytes_used += 4;
@@ -149,7 +151,7 @@
uint16_t bytes = (uint16_t)bits / 8;
uint8_t remainder = (uint8_t)bits % 8;
- uint8_t *buffer = (uint8_t*)malloc((bytes+1)*sizeof(uint8_t));
+ uint8_t *buffer = (uint8_t*)faad_malloc((bytes+1)*sizeof(uint8_t));
for (i = 0; i < bytes; i++)
{
@@ -166,6 +168,20 @@
return buffer;
}
+#ifdef DRM
+/* return the original data buffer */
+void *faad_origbitbuffer(bitfile *ld)
+{
+ return (void*)ld->start;
+}
+
+/* return the original data buffer size */
+uint32_t faad_origbitbuffer_size(bitfile *ld)
+{
+ return ld->buffer_size;
+}
+#endif
+
/* reversed bit reading routines, used for RVLC and HCR */
void faad_initbits_rev(bitfile *ld, void *buffer,
uint32_t bits_in_buffer)
@@ -180,15 +196,9 @@
ld->start = (uint32_t*)buffer + index - 2;
tmp = getdword((uint32_t*)buffer + index);
-#ifndef ARCH_IS_BIG_ENDIAN
- BSWAP(tmp);
-#endif
ld->bufa = tmp;
tmp = getdword((uint32_t*)buffer + index - 1);
-#ifndef ARCH_IS_BIG_ENDIAN
- BSWAP(tmp);
-#endif
ld->bufb = tmp;
ld->tail = (uint32_t*)buffer + index;
Index: bits.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/bits.h,v
retrieving revision 1.3
retrieving revision 1.4
diff -u -r1.3 -r1.4
--- bits.h 3 Oct 2003 22:22:27 -0000 1.3
+++ bits.h 2 Jun 2004 22:59:02 -0000 1.4
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -56,9 +56,9 @@
} bitfile;
-#if defined (_WIN32) && !defined(_WIN32_WCE) && !defined(__GNUC__)
+#if defined (_WIN32) && !defined(_WIN32_WCE) && !defined(__MINGW32__)
#define BSWAP(a) __asm mov eax,a __asm bswap eax __asm mov a, eax
-#elif defined(ARCH_X86) && (defined(DJGPP) || defined(__GNUC__))
+#elif defined(LINUX) || defined(DJGPP)
#define BSWAP(a) __asm__ ( "bswapl %0\n" : "=r" (a) : "0" (a) )
#else
#define BSWAP(a) \
@@ -71,9 +71,11 @@
0x1FFFF, 0x3FFFF, 0x7FFFF, 0xFFFFF, 0x1FFFFF, 0x3FFFFF,
0x7FFFFF, 0xFFFFFF, 0x1FFFFFF, 0x3FFFFFF, 0x7FFFFFF,
0xFFFFFFF, 0x1FFFFFFF, 0x3FFFFFFF, 0x7FFFFFFF
+ /* added bitmask 32, correct?!?!?! */
+ , 0xFFFFFFFF
};
-void faad_initbits(bitfile *ld, void *buffer, uint32_t buffer_size);
+void faad_initbits(bitfile *ld, const void *buffer, const uint32_t buffer_size);
void faad_endbits(bitfile *ld);
void faad_initbits_rev(bitfile *ld, void *buffer,
uint32_t bits_in_buffer);
@@ -83,20 +85,36 @@
void faad_rewindbits(bitfile *ld);
uint8_t *faad_getbitbuffer(bitfile *ld, uint32_t bits
DEBUGDEC);
+#ifdef DRM
+void *faad_origbitbuffer(bitfile *ld);
+uint32_t faad_origbitbuffer_size(bitfile *ld);
+#endif
/* circumvent memory alignment errors on ARM */
static INLINE uint32_t getdword(void *mem)
{
#ifdef ARM
uint32_t tmp;
+#ifndef ARCH_IS_BIG_ENDIAN
+ ((uint8_t*)&tmp)[0] = ((uint8_t*)mem)[3];
+ ((uint8_t*)&tmp)[1] = ((uint8_t*)mem)[2];
+ ((uint8_t*)&tmp)[2] = ((uint8_t*)mem)[1];
+ ((uint8_t*)&tmp)[3] = ((uint8_t*)mem)[0];
+#else
((uint8_t*)&tmp)[0] = ((uint8_t*)mem)[0];
((uint8_t*)&tmp)[1] = ((uint8_t*)mem)[1];
((uint8_t*)&tmp)[2] = ((uint8_t*)mem)[2];
((uint8_t*)&tmp)[3] = ((uint8_t*)mem)[3];
+#endif
return tmp;
#else
- return *(uint32_t*)mem;
+ uint32_t tmp;
+ tmp = *(uint32_t*)mem;
+#ifndef ARCH_IS_BIG_ENDIAN
+ BSWAP(tmp);
+#endif
+ return tmp;
#endif
}
@@ -107,8 +125,8 @@
return (ld->bufa >> (ld->bits_left - bits)) & bitmask[bits];
}
- bits -= ld->bits_left;
- return ((ld->bufa & bitmask[ld->bits_left]) << bits) | (ld->bufb >> (32 - bits));
+ bits -= ld->bits_left;
+ return ((ld->bufa & bitmask[ld->bits_left]) << bits) | (ld->bufb >> (32 - bits));
}
static INLINE void faad_flushbits(bitfile *ld, uint32_t bits)
@@ -148,12 +166,20 @@
{
uint8_t r;
- if (ld->bits_left == 0)
- return (uint8_t)faad_getbits(ld, 1 DEBUGVAR(print,var,dbg));
-
- ld->bits_left--;
- r = (uint8_t)((ld->bufa >> ld->bits_left) & 1);
+ if (ld->bits_left > 0)
+ {
+ ld->bits_left--;
+ r = (uint8_t)((ld->bufa >> ld->bits_left) & 1);
+ return r;
+ }
+ /* bits_left == 0 */
+#if 0
+ r = (uint8_t)(ld->bufb >> 31);
+ faad_flushbits_ex(ld, 1);
+#else
+ r = (uint8_t)faad_getbits(ld, 1);
+#endif
return r;
}
@@ -200,9 +226,6 @@
ld->bufa = ld->bufb;
tmp = getdword(ld->start);
-#ifndef ARCH_IS_BIG_ENDIAN
- BSWAP(tmp);
-#endif
ld->bufb = tmp;
ld->start--;
ld->bits_left += (32 - bits);
@@ -248,7 +271,7 @@
faad_rewindbits(ld);
- CRC = ~faad_getbits(ld, 8
+ CRC = (uint8_t) ~faad_getbits(ld, 8
DEBUGVAR(1,999,"faad_check_CRC(): CRC")); /* CRC is stored inverted */
for (; len>0; len--)
Index: cfft.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/cfft.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- cfft.c 3 Oct 2003 22:22:27 -0000 1.2
+++ cfft.c 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,19 +1,19 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
-**
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
** Any non-GPL usage of this software or parts of this software is strictly
@@ -38,22 +38,127 @@
#include "structs.h"
#include <stdlib.h>
-#ifdef _WIN32_WCE
-#define assert(x)
-#else
-#include <assert.h>
-#endif
#include "cfft.h"
#include "cfft_tab.h"
+/* static function declarations */
+#ifdef USE_SSE
+static void passf2pos_sse(const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa);
+static void passf2pos_sse_ido(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa);
+static void passf4pos_sse_ido(const uint16_t ido, const uint16_t l1, const complex_t *cc, complex_t *ch,
+ const complex_t *wa1, const complex_t *wa2, const complex_t *wa3);
+#endif
+static void passf2pos(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa);
+static void passf2neg(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa);
+static void passf3(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2, const int8_t isign);
+static void passf4pos(const uint16_t ido, const uint16_t l1, const complex_t *cc, complex_t *ch,
+ const complex_t *wa1, const complex_t *wa2, const complex_t *wa3);
+static void passf4neg(const uint16_t ido, const uint16_t l1, const complex_t *cc, complex_t *ch,
+ const complex_t *wa1, const complex_t *wa2, const complex_t *wa3);
+static void passf5(const uint16_t ido, const uint16_t l1, const complex_t *cc, complex_t *ch,
+ const complex_t *wa1, const complex_t *wa2, const complex_t *wa3,
+ const complex_t *wa4, const int8_t isign);
+INLINE void cfftf1(uint16_t n, complex_t *c, complex_t *ch,
+ const uint16_t *ifac, const complex_t *wa, const int8_t isign);
+static void cffti1(uint16_t n, complex_t *wa, uint16_t *ifac);
+
+
/*----------------------------------------------------------------------
passf2, passf3, passf4, passf5. Complex FFT passes fwd and bwd.
----------------------------------------------------------------------*/
-static void passf2(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa, int8_t isign)
+#if 0 //def USE_SSE
+static void passf2pos_sse(const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa)
+{
+ uint16_t k, ah, ac;
+
+ for (k = 0; k < l1; k++)
+ {
+ ah = 2*k;
+ ac = 4*k;
+
+ RE(ch[ah]) = RE(cc[ac]) + RE(cc[ac+1]);
+ IM(ch[ah]) = IM(cc[ac]) + IM(cc[ac+1]);
+
+ RE(ch[ah+l1]) = RE(cc[ac]) - RE(cc[ac+1]);
+ IM(ch[ah+l1]) = IM(cc[ac]) - IM(cc[ac+1]);
+ }
+}
+
+static void passf2pos_sse_ido(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa)
+{
+ uint16_t i, k, ah, ac;
+
+ for (k = 0; k < l1; k++)
+ {
+ ah = k*ido;
+ ac = 2*k*ido;
+
+ for (i = 0; i < ido; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12, m13, m14;
+ __m128 m15, m16, m17, m18, m19, m20, m21, m22, m23, m24;
+ __m128 w1, w2, w3, w4;
+
+ m1 = _mm_load_ps(&RE(cc[ac+i]));
+ m2 = _mm_load_ps(&RE(cc[ac+ido+i]));
+ m5 = _mm_load_ps(&RE(cc[ac+i+2]));
+ m6 = _mm_load_ps(&RE(cc[ac+ido+i+2]));
+ w1 = _mm_load_ps(&RE(wa[i]));
+ w3 = _mm_load_ps(&RE(wa[i+2]));
+
+ m3 = _mm_add_ps(m1, m2);
+ m15 = _mm_add_ps(m5, m6);
+
+ m4 = _mm_sub_ps(m1, m2);
+ m16 = _mm_sub_ps(m5, m6);
+
+ _mm_store_ps(&RE(ch[ah+i]), m3);
+ _mm_store_ps(&RE(ch[ah+i+2]), m15);
+
+
+ w2 = _mm_shuffle_ps(w1, w1, _MM_SHUFFLE(2, 3, 0, 1));
+ w4 = _mm_shuffle_ps(w3, w3, _MM_SHUFFLE(2, 3, 0, 1));
+
+ m7 = _mm_mul_ps(m4, w1);
+ m17 = _mm_mul_ps(m16, w3);
+ m8 = _mm_mul_ps(m4, w2);
+ m18 = _mm_mul_ps(m16, w4);
+
+ m9 = _mm_shuffle_ps(m7, m8, _MM_SHUFFLE(2, 0, 2, 0));
+ m19 = _mm_shuffle_ps(m17, m18, _MM_SHUFFLE(2, 0, 2, 0));
+ m10 = _mm_shuffle_ps(m7, m8, _MM_SHUFFLE(3, 1, 3, 1));
+ m20 = _mm_shuffle_ps(m17, m18, _MM_SHUFFLE(3, 1, 3, 1));
+
+ m11 = _mm_add_ps(m9, m10);
+ m21 = _mm_add_ps(m19, m20);
+ m12 = _mm_sub_ps(m9, m10);
+ m22 = _mm_sub_ps(m19, m20);
+
+ m13 = _mm_shuffle_ps(m11, m11, _MM_SHUFFLE(0, 0, 3, 2));
+ m23 = _mm_shuffle_ps(m21, m21, _MM_SHUFFLE(0, 0, 3, 2));
+
+ m14 = _mm_unpacklo_ps(m12, m13);
+ m24 = _mm_unpacklo_ps(m22, m23);
+
+ _mm_store_ps(&RE(ch[ah+i+l1*ido]), m14);
+ _mm_store_ps(&RE(ch[ah+i+2+l1*ido]), m24);
+ }
+ }
+}
+#endif
+
+static void passf2pos(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa)
{
uint16_t i, k, ah, ac;
@@ -64,7 +169,7 @@
ah = 2*k;
ac = 4*k;
- RE(ch[ah]) = RE(cc[ac]) + RE(cc[ac+1]);
+ RE(ch[ah]) = RE(cc[ac]) + RE(cc[ac+1]);
RE(ch[ah+l1]) = RE(cc[ac]) - RE(cc[ac+1]);
IM(ch[ah]) = IM(cc[ac]) + IM(cc[ac+1]);
IM(ch[ah+l1]) = IM(cc[ac]) - IM(cc[ac+1]);
@@ -85,81 +190,417 @@
IM(ch[ah+i]) = IM(cc[ac+i]) + IM(cc[ac+i+ido]);
IM(t2) = IM(cc[ac+i]) - IM(cc[ac+i+ido]);
- RE(ch[ah+i+l1*ido]) = MUL_R_C(RE(t2),RE(wa[i])) - MUL_R_C(IM(t2),IM(wa[i]))*isign;
- IM(ch[ah+i+l1*ido]) = MUL_R_C(IM(t2),RE(wa[i])) + MUL_R_C(RE(t2),IM(wa[i]))*isign;
+#if 1
+ ComplexMult(&IM(ch[ah+i+l1*ido]), &RE(ch[ah+i+l1*ido]),
+ IM(t2), RE(t2), RE(wa[i]), IM(wa[i]));
+#else
+ ComplexMult(&RE(ch[ah+i+l1*ido]), &IM(ch[ah+i+l1*ido]),
+ RE(t2), IM(t2), RE(wa[i]), IM(wa[i]));
+#endif
}
}
}
}
-
-static void passf3(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa1, complex_t *wa2, int8_t isign)
+static void passf2neg(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa)
{
- static real_t taur = COEF_CONST(-0.5);
- static real_t taui = COEF_CONST(0.866025403784439);
- uint16_t i, k, ac, ah;
- complex_t c2, c3, d2, d3, t2;
+ uint16_t i, k, ah, ac;
if (ido == 1)
{
for (k = 0; k < l1; k++)
{
- ac = 3*k+1;
- ah = k;
+ ah = 2*k;
+ ac = 4*k;
- RE(t2) = RE(cc[ac]) + RE(cc[ac+1]);
- IM(t2) = IM(cc[ac]) + IM(cc[ac+1]);
- RE(c2) = RE(cc[ac-1]) + MUL_R_C(RE(t2),taur);
- IM(c2) = IM(cc[ac-1]) + MUL_R_C(IM(t2),taur);
-
- RE(ch[ah]) = RE(cc[ac-1]) + RE(t2);
- IM(ch[ah]) = IM(cc[ac-1]) + IM(t2);
-
- RE(c3) = MUL_R_C((RE(cc[ac]) - RE(cc[ac+1])), taui)*isign;
- IM(c3) = MUL_R_C((IM(cc[ac]) - IM(cc[ac+1])), taui)*isign;
-
- RE(ch[ah+l1]) = RE(c2) - IM(c3);
- IM(ch[ah+l1]) = IM(c2) + RE(c3);
- RE(ch[ah+2*l1]) = RE(c2) + IM(c3);
- IM(ch[ah+2*l1]) = IM(c2) - RE(c3);
+ RE(ch[ah]) = RE(cc[ac]) + RE(cc[ac+1]);
+ RE(ch[ah+l1]) = RE(cc[ac]) - RE(cc[ac+1]);
+ IM(ch[ah]) = IM(cc[ac]) + IM(cc[ac+1]);
+ IM(ch[ah+l1]) = IM(cc[ac]) - IM(cc[ac+1]);
}
} else {
for (k = 0; k < l1; k++)
{
+ ah = k*ido;
+ ac = 2*k*ido;
+
for (i = 0; i < ido; i++)
{
- ac = i + (3*k+1)*ido;
- ah = i + k * ido;
+ complex_t t2;
+
+ RE(ch[ah+i]) = RE(cc[ac+i]) + RE(cc[ac+i+ido]);
+ RE(t2) = RE(cc[ac+i]) - RE(cc[ac+i+ido]);
+
+ IM(ch[ah+i]) = IM(cc[ac+i]) + IM(cc[ac+i+ido]);
+ IM(t2) = IM(cc[ac+i]) - IM(cc[ac+i+ido]);
+
+#if 1
+ ComplexMult(&RE(ch[ah+i+l1*ido]), &IM(ch[ah+i+l1*ido]),
+ RE(t2), IM(t2), RE(wa[i]), IM(wa[i]));
+#else
+ ComplexMult(&IM(ch[ah+i+l1*ido]), &RE(ch[ah+i+l1*ido]),
+ IM(t2), RE(t2), RE(wa[i]), IM(wa[i]));
+#endif
+ }
+ }
+ }
+}
- RE(t2) = RE(cc[ac]) + RE(cc[ac+ido]);
- RE(c2) = RE(cc[ac-ido]) + MUL_R_C(RE(t2),taur);
- IM(t2) = IM(cc[ac]) + IM(cc[ac+ido]);
- IM(c2) = IM(cc[ac-ido]) + MUL_R_C(IM(t2),taur);
- RE(ch[ah]) = RE(cc[ac-ido]) + RE(t2);
- IM(ch[ah]) = IM(cc[ac-ido]) + IM(t2);
+static void passf3(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2,
+ const int8_t isign)
+{
+ static real_t taur = FRAC_CONST(-0.5);
+ static real_t taui = FRAC_CONST(0.866025403784439);
+ uint16_t i, k, ac, ah;
+ complex_t c2, c3, d2, d3, t2;
- RE(c3) = MUL_R_C((RE(cc[ac]) - RE(cc[ac+ido])), taui)*isign;
- IM(c3) = MUL_R_C((IM(cc[ac]) - IM(cc[ac+ido])), taui)*isign;
+ if (ido == 1)
+ {
+ if (isign == 1)
+ {
+ for (k = 0; k < l1; k++)
+ {
+ ac = 3*k+1;
+ ah = k;
- RE(d2) = RE(c2) - IM(c3);
- IM(d3) = IM(c2) - RE(c3);
- RE(d3) = RE(c2) + IM(c3);
- IM(d2) = IM(c2) + RE(c3);
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+1]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+1]);
+ RE(c2) = RE(cc[ac-1]) + MUL_F(RE(t2),taur);
+ IM(c2) = IM(cc[ac-1]) + MUL_F(IM(t2),taur);
+
+ RE(ch[ah]) = RE(cc[ac-1]) + RE(t2);
+ IM(ch[ah]) = IM(cc[ac-1]) + IM(t2);
+
+ RE(c3) = MUL_F((RE(cc[ac]) - RE(cc[ac+1])), taui);
+ IM(c3) = MUL_F((IM(cc[ac]) - IM(cc[ac+1])), taui);
+
+ RE(ch[ah+l1]) = RE(c2) - IM(c3);
+ IM(ch[ah+l1]) = IM(c2) + RE(c3);
+ RE(ch[ah+2*l1]) = RE(c2) + IM(c3);
+ IM(ch[ah+2*l1]) = IM(c2) - RE(c3);
+ }
+ } else {
+ for (k = 0; k < l1; k++)
+ {
+ ac = 3*k+1;
+ ah = k;
- RE(ch[ah+l1*ido]) = MUL_R_C(RE(d2),RE(wa1[i])) - MUL_R_C(IM(d2),IM(wa1[i]))*isign;
- IM(ch[ah+l1*ido]) = MUL_R_C(IM(d2),RE(wa1[i])) + MUL_R_C(RE(d2),IM(wa1[i]))*isign;
- RE(ch[ah+l1*2*ido]) = MUL_R_C(RE(d3),RE(wa2[i])) - MUL_R_C(IM(d3),IM(wa2[i]))*isign;
- IM(ch[ah+l1*2*ido]) = MUL_R_C(IM(d3),RE(wa2[i])) + MUL_R_C(RE(d3),IM(wa2[i]))*isign;
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+1]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+1]);
+ RE(c2) = RE(cc[ac-1]) + MUL_F(RE(t2),taur);
+ IM(c2) = IM(cc[ac-1]) + MUL_F(IM(t2),taur);
+
+ RE(ch[ah]) = RE(cc[ac-1]) + RE(t2);
+ IM(ch[ah]) = IM(cc[ac-1]) + IM(t2);
+
+ RE(c3) = MUL_F((RE(cc[ac]) - RE(cc[ac+1])), taui);
+ IM(c3) = MUL_F((IM(cc[ac]) - IM(cc[ac+1])), taui);
+
+ RE(ch[ah+l1]) = RE(c2) + IM(c3);
+ IM(ch[ah+l1]) = IM(c2) - RE(c3);
+ RE(ch[ah+2*l1]) = RE(c2) - IM(c3);
+ IM(ch[ah+2*l1]) = IM(c2) + RE(c3);
+ }
+ }
+ } else {
+ if (isign == 1)
+ {
+ for (k = 0; k < l1; k++)
+ {
+ for (i = 0; i < ido; i++)
+ {
+ ac = i + (3*k+1)*ido;
+ ah = i + k * ido;
+
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+ido]);
+ RE(c2) = RE(cc[ac-ido]) + MUL_F(RE(t2),taur);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+ido]);
+ IM(c2) = IM(cc[ac-ido]) + MUL_F(IM(t2),taur);
+
+ RE(ch[ah]) = RE(cc[ac-ido]) + RE(t2);
+ IM(ch[ah]) = IM(cc[ac-ido]) + IM(t2);
+
+ RE(c3) = MUL_F((RE(cc[ac]) - RE(cc[ac+ido])), taui);
+ IM(c3) = MUL_F((IM(cc[ac]) - IM(cc[ac+ido])), taui);
+
+ RE(d2) = RE(c2) - IM(c3);
+ IM(d3) = IM(c2) - RE(c3);
+ RE(d3) = RE(c2) + IM(c3);
+ IM(d2) = IM(c2) + RE(c3);
+
+#if 1
+ ComplexMult(&IM(ch[ah+l1*ido]), &RE(ch[ah+l1*ido]),
+ IM(d2), RE(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&IM(ch[ah+2*l1*ido]), &RE(ch[ah+2*l1*ido]),
+ IM(d3), RE(d3), RE(wa2[i]), IM(wa2[i]));
+#else
+ ComplexMult(&RE(ch[ah+l1*ido]), &IM(ch[ah+l1*ido]),
+ RE(d2), IM(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&RE(ch[ah+2*l1*ido]), &IM(ch[ah+2*l1*ido]),
+ RE(d3), IM(d3), RE(wa2[i]), IM(wa2[i]));
+#endif
+ }
+ }
+ } else {
+ for (k = 0; k < l1; k++)
+ {
+ for (i = 0; i < ido; i++)
+ {
+ ac = i + (3*k+1)*ido;
+ ah = i + k * ido;
+
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+ido]);
+ RE(c2) = RE(cc[ac-ido]) + MUL_F(RE(t2),taur);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+ido]);
+ IM(c2) = IM(cc[ac-ido]) + MUL_F(IM(t2),taur);
+
+ RE(ch[ah]) = RE(cc[ac-ido]) + RE(t2);
+ IM(ch[ah]) = IM(cc[ac-ido]) + IM(t2);
+
+ RE(c3) = MUL_F((RE(cc[ac]) - RE(cc[ac+ido])), taui);
+ IM(c3) = MUL_F((IM(cc[ac]) - IM(cc[ac+ido])), taui);
+
+ RE(d2) = RE(c2) + IM(c3);
+ IM(d3) = IM(c2) + RE(c3);
+ RE(d3) = RE(c2) - IM(c3);
+ IM(d2) = IM(c2) - RE(c3);
+
+#if 1
+ ComplexMult(&RE(ch[ah+l1*ido]), &IM(ch[ah+l1*ido]),
+ RE(d2), IM(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&RE(ch[ah+2*l1*ido]), &IM(ch[ah+2*l1*ido]),
+ RE(d3), IM(d3), RE(wa2[i]), IM(wa2[i]));
+#else
+ ComplexMult(&IM(ch[ah+l1*ido]), &RE(ch[ah+l1*ido]),
+ IM(d2), RE(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&IM(ch[ah+2*l1*ido]), &RE(ch[ah+2*l1*ido]),
+ IM(d3), RE(d3), RE(wa2[i]), IM(wa2[i]));
+#endif
+ }
}
}
}
}
+#ifdef USE_SSE
+ALIGN static const int32_t negate[4] = { 0x0, 0x0, 0x0, 0x80000000 };
-static void passf4(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa1, complex_t *wa2, complex_t *wa3, int8_t isign)
+__declspec(naked) static void passf4pos_sse(const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2,
+ const complex_t *wa3)
+{
+ __asm {
+ push ebx
+ mov ebx, esp
+ and esp, -16
+ push edi
+ push esi
+ sub esp, 8
+ movzx edi, WORD PTR [ebx+8]
+
+ movaps xmm1, XMMWORD PTR negate
+
+ test edi, edi
+ jle l1_is_zero
+
+ lea esi, DWORD PTR [edi+edi]
+ add esi, esi
+ sub esi, edi
+ add esi, esi
+ add esi, esi
+ add esi, esi
+ mov eax, DWORD PTR [ebx+16]
+ add esi, eax
+ lea ecx, DWORD PTR [edi+edi]
+ add ecx, ecx
+ add ecx, ecx
+ add ecx, ecx
+ add ecx, eax
+ lea edx, DWORD PTR [edi+edi]
+ add edx, edx
+ add edx, edx
+ add edx, eax
+ xor eax, eax
+ mov DWORD PTR [esp], ebp
+ mov ebp, DWORD PTR [ebx+12]
+
+fftloop:
+ lea edi, DWORD PTR [eax+eax]
+ add edi, edi
+ movaps xmm2, XMMWORD PTR [ebp+edi*8]
+ movaps xmm0, XMMWORD PTR [ebp+edi*8+16]
+ movaps xmm7, XMMWORD PTR [ebp+edi*8+32]
+ movaps xmm5, XMMWORD PTR [ebp+edi*8+48]
+ movaps xmm6, xmm2
+ addps xmm6, xmm0
+ movaps xmm4, xmm1
+ xorps xmm4, xmm7
+ movaps xmm3, xmm1
+ xorps xmm3, xmm5
+ xorps xmm2, xmm1
+ xorps xmm0, xmm1
+ addps xmm7, xmm5
+ subps xmm2, xmm0
+ movaps xmm0, xmm6
+ shufps xmm0, xmm7, 68
+ subps xmm4, xmm3
+ shufps xmm6, xmm7, 238
+ movaps xmm5, xmm2
+ shufps xmm5, xmm4, 68
+ movaps xmm3, xmm0
+ addps xmm3, xmm6
+ shufps xmm2, xmm4, 187
+ subps xmm0, xmm6
+ movaps xmm4, xmm5
+ addps xmm4, xmm2
+ mov edi, DWORD PTR [ebx+16]
+ movaps XMMWORD PTR [edi+eax*8], xmm3
+ subps xmm5, xmm2
+ movaps XMMWORD PTR [edx+eax*8], xmm4
+ movaps XMMWORD PTR [ecx+eax*8], xmm0
+ movaps XMMWORD PTR [esi+eax*8], xmm5
+ add eax, 2
+ movzx eax, ax
+ movzx edi, WORD PTR [ebx+8]
+ cmp eax, edi
+ jl fftloop
+
+ mov ebp, DWORD PTR [esp]
+
+l1_is_zero:
+
+ add esp, 8
+ pop esi
+ pop edi
+ mov esp, ebx
+ pop ebx
+ ret
+ }
+}
+#endif
+
+#if 0
+static void passf4pos_sse_ido(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2,
+ const complex_t *wa3)
+{
+ uint16_t i, k, ac, ah;
+
+ for (k = 0; k < l1; k++)
+ {
+ ac = 4*k*ido;
+ ah = k*ido;
+
+ for (i = 0; i < ido; i+=2)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12, m13, m14, m15, m16;
+ __m128 n1, n2, n3, n4, n5, n6, n7, n8, n9, m17, m18, m19, m20, m21, m22, m23;
+ __m128 w1, w2, w3, w4, w5, w6, m24, m25, m26, m27, m28, m29, m30;
+ __m128 neg1 = _mm_set_ps(-1.0, 1.0, -1.0, 1.0);
+
+ m1 = _mm_load_ps(&RE(cc[ac+i]));
+ m2 = _mm_load_ps(&RE(cc[ac+i+2*ido]));
+ m3 = _mm_add_ps(m1, m2);
+ m4 = _mm_sub_ps(m1, m2);
+
+ n1 = _mm_load_ps(&RE(cc[ac+i+ido]));
+ n2 = _mm_load_ps(&RE(cc[ac+i+3*ido]));
+ n3 = _mm_add_ps(n1, n2);
+
+ n4 = _mm_mul_ps(neg1, n1);
+ n5 = _mm_mul_ps(neg1, n2);
+ n6 = _mm_sub_ps(n4, n5);
+
+ m5 = _mm_add_ps(m3, n3);
+
+ n7 = _mm_shuffle_ps(n6, n6, _MM_SHUFFLE(2, 3, 0, 1));
+ n8 = _mm_add_ps(m4, n7);
+
+ m6 = _mm_sub_ps(m3, n3);
+ n9 = _mm_sub_ps(m4, n7);
+
+ _mm_store_ps(&RE(ch[ah+i]), m5);
+
+#if 0
+ static INLINE void ComplexMult(real_t *y1, real_t *y2,
+ real_t x1, real_t x2, real_t c1, real_t c2)
+ {
+ *y1 = MUL_F(x1, c1) + MUL_F(x2, c2);
+ *y2 = MUL_F(x2, c1) - MUL_F(x1, c2);
+ }
+
+ m7.0 = RE(c2)*RE(wa1[i])
+ m7.1 = IM(c2)*IM(wa1[i])
+ m7.2 = RE(c6)*RE(wa1[i+1])
+ m7.3 = IM(c6)*IM(wa1[i+1])
+
+ m8.0 = RE(c2)*IM(wa1[i])
+ m8.1 = IM(c2)*RE(wa1[i])
+ m8.2 = RE(c6)*IM(wa1[i+1])
+ m8.3 = IM(c6)*RE(wa1[i+1])
+
+ RE(0) = m7.0 - m7.1
+ IM(0) = m8.0 + m8.1
+ RE(1) = m7.2 - m7.3
+ IM(1) = m8.2 + m8.3
+
+ ////
+ RE(0) = RE(c2)*RE(wa1[i]) - IM(c2)*IM(wa1[i])
+ IM(0) = RE(c2)*IM(wa1[i]) + IM(c2)*RE(wa1[i])
+ RE(1) = RE(c6)*RE(wa1[i+1]) - IM(c6)*IM(wa1[i+1])
+ IM(1) = RE(c6)*IM(wa1[i+1]) + IM(c6)*RE(wa1[i+1])
+#endif
+
+ w1 = _mm_load_ps(&RE(wa1[i]));
+ w3 = _mm_load_ps(&RE(wa2[i]));
+ w5 = _mm_load_ps(&RE(wa3[i]));
+
+ w2 = _mm_shuffle_ps(w1, w1, _MM_SHUFFLE(2, 3, 0, 1));
+ w4 = _mm_shuffle_ps(w3, w3, _MM_SHUFFLE(2, 3, 0, 1));
+ w6 = _mm_shuffle_ps(w5, w5, _MM_SHUFFLE(2, 3, 0, 1));
+
+ m7 = _mm_mul_ps(n8, w1);
+ m15 = _mm_mul_ps(m6, w3);
+ m23 = _mm_mul_ps(n9, w5);
+ m8 = _mm_mul_ps(n8, w2);
+ m16 = _mm_mul_ps(m6, w4);
+ m24 = _mm_mul_ps(n9, w6);
+
+ m9 = _mm_shuffle_ps(m7, m8, _MM_SHUFFLE(2, 0, 2, 0));
+ m17 = _mm_shuffle_ps(m15, m16, _MM_SHUFFLE(2, 0, 2, 0));
+ m25 = _mm_shuffle_ps(m23, m24, _MM_SHUFFLE(2, 0, 2, 0));
+ m10 = _mm_shuffle_ps(m7, m8, _MM_SHUFFLE(3, 1, 3, 1));
+ m18 = _mm_shuffle_ps(m15, m16, _MM_SHUFFLE(3, 1, 3, 1));
+ m26 = _mm_shuffle_ps(m23, m24, _MM_SHUFFLE(3, 1, 3, 1));
+
+ m11 = _mm_add_ps(m9, m10);
+ m19 = _mm_add_ps(m17, m18);
+ m27 = _mm_add_ps(m25, m26);
+ m12 = _mm_sub_ps(m9, m10);
+ m20 = _mm_sub_ps(m17, m18);
+ m28 = _mm_sub_ps(m25, m26);
+
+ m13 = _mm_shuffle_ps(m11, m11, _MM_SHUFFLE(0, 0, 3, 2));
+ m21 = _mm_shuffle_ps(m19, m19, _MM_SHUFFLE(0, 0, 3, 2));
+ m29 = _mm_shuffle_ps(m27, m27, _MM_SHUFFLE(0, 0, 3, 2));
+ m14 = _mm_unpacklo_ps(m12, m13);
+ m22 = _mm_unpacklo_ps(m20, m21);
+ m30 = _mm_unpacklo_ps(m28, m29);
+
+ _mm_store_ps(&RE(ch[ah+i+l1*ido]), m14);
+ _mm_store_ps(&RE(ch[ah+i+2*l1*ido]), m22);
+ _mm_store_ps(&RE(ch[ah+i+3*l1*ido]), m30);
+ }
+ }
+}
+#endif
+
+static void passf4pos(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2,
+ const complex_t *wa3)
{
uint16_t i, k, ac, ah;
@@ -172,26 +613,26 @@
ac = 4*k;
ah = k;
- RE(t2) = RE(cc[ac]) + RE(cc[ac+2]);
- RE(t1) = RE(cc[ac]) - RE(cc[ac+2]);
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+2]);
+ RE(t1) = RE(cc[ac]) - RE(cc[ac+2]);
IM(t2) = IM(cc[ac]) + IM(cc[ac+2]);
- IM(t1) = IM(cc[ac]) - IM(cc[ac+2]);
+ IM(t1) = IM(cc[ac]) - IM(cc[ac+2]);
RE(t3) = RE(cc[ac+1]) + RE(cc[ac+3]);
IM(t4) = RE(cc[ac+1]) - RE(cc[ac+3]);
IM(t3) = IM(cc[ac+3]) + IM(cc[ac+1]);
RE(t4) = IM(cc[ac+3]) - IM(cc[ac+1]);
- RE(ch[ah]) = RE(t2) + RE(t3);
+ RE(ch[ah]) = RE(t2) + RE(t3);
RE(ch[ah+2*l1]) = RE(t2) - RE(t3);
IM(ch[ah]) = IM(t2) + IM(t3);
IM(ch[ah+2*l1]) = IM(t2) - IM(t3);
- RE(ch[ah+l1]) = RE(t1) + RE(t4)*isign;
- RE(ch[ah+3*l1]) = RE(t1) - RE(t4)*isign;
+ RE(ch[ah+l1]) = RE(t1) + RE(t4);
+ RE(ch[ah+3*l1]) = RE(t1) - RE(t4);
- IM(ch[ah+l1]) = IM(t1) + IM(t4)*isign;
- IM(ch[ah+3*l1]) = IM(t1) - IM(t4)*isign;
+ IM(ch[ah+l1]) = IM(t1) + IM(t4);
+ IM(ch[ah+3*l1]) = IM(t1) - IM(t4);
}
} else {
for (k = 0; k < l1; k++)
@@ -212,124 +653,335 @@
IM(t3) = IM(cc[ac+i+3*ido]) + IM(cc[ac+i+ido]);
RE(t4) = IM(cc[ac+i+3*ido]) - IM(cc[ac+i+ido]);
- RE(c2) = RE(t1) + RE(t4)*isign;
- RE(c4) = RE(t1) - RE(t4)*isign;
+ RE(c2) = RE(t1) + RE(t4);
+ RE(c4) = RE(t1) - RE(t4);
- IM(c2) = IM(t1) + IM(t4)*isign;
- IM(c4) = IM(t1) - IM(t4)*isign;
+ IM(c2) = IM(t1) + IM(t4);
+ IM(c4) = IM(t1) - IM(t4);
RE(ch[ah+i]) = RE(t2) + RE(t3);
- RE(c3) = RE(t2) - RE(t3);
+ RE(c3) = RE(t2) - RE(t3);
IM(ch[ah+i]) = IM(t2) + IM(t3);
- IM(c3) = IM(t2) - IM(t3);
+ IM(c3) = IM(t2) - IM(t3);
- IM(ch[ah+i+l1*ido]) = MUL_R_C(IM(c2),RE(wa1[i])) + MUL_R_C(RE(c2),IM(wa1[i]))*isign;
- RE(ch[ah+i+l1*ido]) = MUL_R_C(RE(c2),RE(wa1[i])) - MUL_R_C(IM(c2),IM(wa1[i]))*isign;
- IM(ch[ah+i+2*l1*ido]) = MUL_R_C(IM(c3),RE(wa2[i])) + MUL_R_C(RE(c3),IM(wa2[i]))*isign;
- RE(ch[ah+i+2*l1*ido]) = MUL_R_C(RE(c3),RE(wa2[i])) - MUL_R_C(IM(c3),IM(wa2[i]))*isign;
- IM(ch[ah+i+3*l1*ido]) = MUL_R_C(IM(c4),RE(wa3[i])) + MUL_R_C(RE(c4),IM(wa3[i]))*isign;
- RE(ch[ah+i+3*l1*ido]) = MUL_R_C(RE(c4),RE(wa3[i])) - MUL_R_C(IM(c4),IM(wa3[i]))*isign;
+#if 1
+ ComplexMult(&IM(ch[ah+i+l1*ido]), &RE(ch[ah+i+l1*ido]),
+ IM(c2), RE(c2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&IM(ch[ah+i+2*l1*ido]), &RE(ch[ah+i+2*l1*ido]),
+ IM(c3), RE(c3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&IM(ch[ah+i+3*l1*ido]), &RE(ch[ah+i+3*l1*ido]),
+ IM(c4), RE(c4), RE(wa3[i]), IM(wa3[i]));
+#else
+ ComplexMult(&RE(ch[ah+i+l1*ido]), &IM(ch[ah+i+l1*ido]),
+ RE(c2), IM(c2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&RE(ch[ah+i+2*l1*ido]), &IM(ch[ah+i+2*l1*ido]),
+ RE(c3), IM(c3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&RE(ch[ah+i+3*l1*ido]), &IM(ch[ah+i+3*l1*ido]),
+ RE(c4), IM(c4), RE(wa3[i]), IM(wa3[i]));
+#endif
}
}
}
}
-
-static void passf5(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa1, complex_t *wa2, complex_t *wa3, complex_t *wa4,
- int8_t isign)
+static void passf4neg(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2,
+ const complex_t *wa3)
{
- static real_t tr11 = COEF_CONST(0.309016994374947);
- static real_t ti11 = COEF_CONST(0.951056516295154);
- static real_t tr12 = COEF_CONST(-0.809016994374947);
- static real_t ti12 = COEF_CONST(0.587785252292473);
uint16_t i, k, ac, ah;
- complex_t c2, c3, c4, c5, d3, d4, d5, d2, t2, t3, t4, t5;
if (ido == 1)
{
for (k = 0; k < l1; k++)
{
- ac = 5*k + 1;
+ complex_t t1, t2, t3, t4;
+
+ ac = 4*k;
ah = k;
- RE(t2) = RE(cc[ac]) + RE(cc[ac+3]);
- IM(t2) = IM(cc[ac]) + IM(cc[ac+3]);
- RE(t3) = RE(cc[ac+1]) + RE(cc[ac+2]);
- IM(t3) = IM(cc[ac+1]) + IM(cc[ac+2]);
- RE(t4) = RE(cc[ac+1]) - RE(cc[ac+2]);
- IM(t4) = IM(cc[ac+1]) - IM(cc[ac+2]);
- RE(t5) = RE(cc[ac]) - RE(cc[ac+3]);
- IM(t5) = IM(cc[ac]) - IM(cc[ac+3]);
-
- RE(ch[ah]) = RE(cc[ac-1]) + RE(t2) + RE(t3);
- IM(ch[ah]) = IM(cc[ac-1]) + IM(t2) + IM(t3);
-
- RE(c2) = RE(cc[ac-1]) + MUL_R_C(RE(t2),tr11) + MUL_R_C(RE(t3),tr12);
- IM(c2) = IM(cc[ac-1]) + MUL_R_C(IM(t2),tr11) + MUL_R_C(IM(t3),tr12);
- RE(c3) = RE(cc[ac-1]) + MUL_R_C(RE(t2),tr12) + MUL_R_C(RE(t3),tr11);
- IM(c3) = IM(cc[ac-1]) + MUL_R_C(IM(t2),tr12) + MUL_R_C(IM(t3),tr11);
- RE(c4) = (MUL_R_C(RE(t5),ti12)*isign - MUL_R_C(RE(t4),ti11));
- IM(c4) = (MUL_R_C(IM(t5),ti12)*isign - MUL_R_C(IM(t4),ti11));
- RE(c5) = (MUL_R_C(RE(t5),ti11)*isign + MUL_R_C(RE(t4),ti12));
- IM(c5) = (MUL_R_C(IM(t5),ti11)*isign + MUL_R_C(IM(t4),ti12));
-
- RE(ch[ah+l1]) = RE(c2) - IM(c5);
- IM(ch[ah+l1]) = IM(c2) + RE(c5);
- RE(ch[ah+2*l1]) = RE(c3) - IM(c4);
- IM(ch[ah+2*l1]) = IM(c3) + RE(c4);
- RE(ch[ah+3*l1]) = RE(c3) + IM(c4);
- IM(ch[ah+3*l1]) = IM(c3) - RE(c4);
- RE(ch[ah+4*l1]) = RE(c2) + IM(c5);
- IM(ch[ah+4*l1]) = IM(c2) - RE(c5);
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+2]);
+ RE(t1) = RE(cc[ac]) - RE(cc[ac+2]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+2]);
+ IM(t1) = IM(cc[ac]) - IM(cc[ac+2]);
+ RE(t3) = RE(cc[ac+1]) + RE(cc[ac+3]);
+ IM(t4) = RE(cc[ac+1]) - RE(cc[ac+3]);
+ IM(t3) = IM(cc[ac+3]) + IM(cc[ac+1]);
+ RE(t4) = IM(cc[ac+3]) - IM(cc[ac+1]);
+
+ RE(ch[ah]) = RE(t2) + RE(t3);
+ RE(ch[ah+2*l1]) = RE(t2) - RE(t3);
+
+ IM(ch[ah]) = IM(t2) + IM(t3);
+ IM(ch[ah+2*l1]) = IM(t2) - IM(t3);
+
+ RE(ch[ah+l1]) = RE(t1) - RE(t4);
+ RE(ch[ah+3*l1]) = RE(t1) + RE(t4);
+
+ IM(ch[ah+l1]) = IM(t1) - IM(t4);
+ IM(ch[ah+3*l1]) = IM(t1) + IM(t4);
}
} else {
for (k = 0; k < l1; k++)
{
+ ac = 4*k*ido;
+ ah = k*ido;
+
for (i = 0; i < ido; i++)
{
- ac = i + (k*5 + 1) * ido;
- ah = i + k * ido;
+ complex_t c2, c3, c4, t1, t2, t3, t4;
+
+ RE(t2) = RE(cc[ac+i]) + RE(cc[ac+i+2*ido]);
+ RE(t1) = RE(cc[ac+i]) - RE(cc[ac+i+2*ido]);
+ IM(t2) = IM(cc[ac+i]) + IM(cc[ac+i+2*ido]);
+ IM(t1) = IM(cc[ac+i]) - IM(cc[ac+i+2*ido]);
+ RE(t3) = RE(cc[ac+i+ido]) + RE(cc[ac+i+3*ido]);
+ IM(t4) = RE(cc[ac+i+ido]) - RE(cc[ac+i+3*ido]);
+ IM(t3) = IM(cc[ac+i+3*ido]) + IM(cc[ac+i+ido]);
+ RE(t4) = IM(cc[ac+i+3*ido]) - IM(cc[ac+i+ido]);
+
+ RE(c2) = RE(t1) - RE(t4);
+ RE(c4) = RE(t1) + RE(t4);
+
+ IM(c2) = IM(t1) - IM(t4);
+ IM(c4) = IM(t1) + IM(t4);
- RE(t2) = RE(cc[ac]) + RE(cc[ac+3*ido]);
- IM(t2) = IM(cc[ac]) + IM(cc[ac+3*ido]);
- RE(t3) = RE(cc[ac+ido]) + RE(cc[ac+2*ido]);
- IM(t3) = IM(cc[ac+ido]) + IM(cc[ac+2*ido]);
- RE(t4) = RE(cc[ac+ido]) - RE(cc[ac+2*ido]);
- IM(t4) = IM(cc[ac+ido]) - IM(cc[ac+2*ido]);
- RE(t5) = RE(cc[ac]) - RE(cc[ac+3*ido]);
- IM(t5) = IM(cc[ac]) - IM(cc[ac+3*ido]);
-
- RE(ch[ah]) = RE(cc[ac-ido]) + RE(t2) + RE(t3);
- IM(ch[ah]) = IM(cc[ac-ido]) + IM(t2) + IM(t3);
-
- RE(c2) = RE(cc[ac-ido]) + MUL_R_C(RE(t2),tr11) + MUL_R_C(RE(t3),tr12);
- IM(c2) = IM(cc[ac-ido]) + MUL_R_C(IM(t2),tr11) + MUL_R_C(IM(t3),tr12);
- RE(c3) = RE(cc[ac-ido]) + MUL_R_C(RE(t2),tr12) + MUL_R_C(RE(t3),tr11);
- IM(c3) = IM(cc[ac-ido]) + MUL_R_C(IM(t2),tr12) + MUL_R_C(IM(t3),tr11);
- RE(c4) = (MUL_R_C(RE(t5),ti12)*isign - MUL_R_C(RE(t4),ti11));
- IM(c4) = (MUL_R_C(IM(t5),ti12)*isign - MUL_R_C(IM(t4),ti11));
- RE(c5) = (MUL_R_C(RE(t5),ti11)*isign + MUL_R_C(RE(t4),ti12));
- IM(c5) = (MUL_R_C(IM(t5),ti11)*isign + MUL_R_C(IM(t4),ti12));
-
- IM(d2) = IM(c2) + RE(c5);
- IM(d3) = IM(c3) + RE(c4);
- RE(d4) = RE(c3) + IM(c4);
- RE(d5) = RE(c2) + IM(c5);
- RE(d2) = RE(c2) - IM(c5);
- IM(d5) = IM(c2) - RE(c5);
- RE(d3) = RE(c3) - IM(c4);
- IM(d4) = IM(c3) - RE(c4);
-
- RE(ch[ah+l1*ido]) = MUL_R_C(RE(d2),RE(wa1[i])) - MUL_R_C(IM(d2),IM(wa1[i]))*isign;
- IM(ch[ah+l1*ido]) = MUL_R_C(IM(d2),RE(wa1[i])) + MUL_R_C(RE(d2),IM(wa1[i]))*isign;
- RE(ch[ah+2*l1*ido]) = MUL_R_C(RE(d3),RE(wa2[i])) - MUL_R_C(IM(d3),IM(wa2[i]))*isign;
- IM(ch[ah+2*l1*ido]) = MUL_R_C(IM(d3),RE(wa2[i])) + MUL_R_C(RE(d3),IM(wa2[i]))*isign;
- RE(ch[ah+3*l1*ido]) = MUL_R_C(RE(d4),RE(wa3[i])) - MUL_R_C(IM(d4),IM(wa3[i]))*isign;
- IM(ch[ah+3*l1*ido]) = MUL_R_C(IM(d4),RE(wa3[i])) + MUL_R_C(RE(d4),IM(wa3[i]))*isign;
- RE(ch[ah+4*l1*ido]) = MUL_R_C(RE(d5),RE(wa4[i])) - MUL_R_C(IM(d5),IM(wa4[i]))*isign;
- IM(ch[ah+4*l1*ido]) = MUL_R_C(IM(d5),RE(wa4[i])) + MUL_R_C(RE(d5),IM(wa4[i]))*isign;
+ RE(ch[ah+i]) = RE(t2) + RE(t3);
+ RE(c3) = RE(t2) - RE(t3);
+
+ IM(ch[ah+i]) = IM(t2) + IM(t3);
+ IM(c3) = IM(t2) - IM(t3);
+
+#if 1
+ ComplexMult(&RE(ch[ah+i+l1*ido]), &IM(ch[ah+i+l1*ido]),
+ RE(c2), IM(c2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&RE(ch[ah+i+2*l1*ido]), &IM(ch[ah+i+2*l1*ido]),
+ RE(c3), IM(c3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&RE(ch[ah+i+3*l1*ido]), &IM(ch[ah+i+3*l1*ido]),
+ RE(c4), IM(c4), RE(wa3[i]), IM(wa3[i]));
+#else
+ ComplexMult(&IM(ch[ah+i+l1*ido]), &RE(ch[ah+i+l1*ido]),
+ IM(c2), RE(c2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&IM(ch[ah+i+2*l1*ido]), &RE(ch[ah+i+2*l1*ido]),
+ IM(c3), RE(c3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&IM(ch[ah+i+3*l1*ido]), &RE(ch[ah+i+3*l1*ido]),
+ IM(c4), RE(c4), RE(wa3[i]), IM(wa3[i]));
+#endif
+ }
+ }
+ }
+}
+
+static void passf5(const uint16_t ido, const uint16_t l1, const complex_t *cc,
+ complex_t *ch, const complex_t *wa1, const complex_t *wa2, const complex_t *wa3,
+ const complex_t *wa4, const int8_t isign)
+{
+ static real_t tr11 = FRAC_CONST(0.309016994374947);
+ static real_t ti11 = FRAC_CONST(0.951056516295154);
+ static real_t tr12 = FRAC_CONST(-0.809016994374947);
+ static real_t ti12 = FRAC_CONST(0.587785252292473);
+ uint16_t i, k, ac, ah;
+ complex_t c2, c3, c4, c5, d3, d4, d5, d2, t2, t3, t4, t5;
+
+ if (ido == 1)
+ {
+ if (isign == 1)
+ {
+ for (k = 0; k < l1; k++)
+ {
+ ac = 5*k + 1;
+ ah = k;
+
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+3]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+3]);
+ RE(t3) = RE(cc[ac+1]) + RE(cc[ac+2]);
+ IM(t3) = IM(cc[ac+1]) + IM(cc[ac+2]);
+ RE(t4) = RE(cc[ac+1]) - RE(cc[ac+2]);
+ IM(t4) = IM(cc[ac+1]) - IM(cc[ac+2]);
+ RE(t5) = RE(cc[ac]) - RE(cc[ac+3]);
+ IM(t5) = IM(cc[ac]) - IM(cc[ac+3]);
+
+ RE(ch[ah]) = RE(cc[ac-1]) + RE(t2) + RE(t3);
+ IM(ch[ah]) = IM(cc[ac-1]) + IM(t2) + IM(t3);
+
+ RE(c2) = RE(cc[ac-1]) + MUL_F(RE(t2),tr11) + MUL_F(RE(t3),tr12);
+ IM(c2) = IM(cc[ac-1]) + MUL_F(IM(t2),tr11) + MUL_F(IM(t3),tr12);
+ RE(c3) = RE(cc[ac-1]) + MUL_F(RE(t2),tr12) + MUL_F(RE(t3),tr11);
+ IM(c3) = IM(cc[ac-1]) + MUL_F(IM(t2),tr12) + MUL_F(IM(t3),tr11);
+
+ ComplexMult(&RE(c5), &RE(c4),
+ ti11, ti12, RE(t5), RE(t4));
+ ComplexMult(&IM(c5), &IM(c4),
+ ti11, ti12, IM(t5), IM(t4));
+
+ RE(ch[ah+l1]) = RE(c2) - IM(c5);
+ IM(ch[ah+l1]) = IM(c2) + RE(c5);
+ RE(ch[ah+2*l1]) = RE(c3) - IM(c4);
+ IM(ch[ah+2*l1]) = IM(c3) + RE(c4);
+ RE(ch[ah+3*l1]) = RE(c3) + IM(c4);
+ IM(ch[ah+3*l1]) = IM(c3) - RE(c4);
+ RE(ch[ah+4*l1]) = RE(c2) + IM(c5);
+ IM(ch[ah+4*l1]) = IM(c2) - RE(c5);
+ }
+ } else {
+ for (k = 0; k < l1; k++)
+ {
+ ac = 5*k + 1;
+ ah = k;
+
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+3]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+3]);
+ RE(t3) = RE(cc[ac+1]) + RE(cc[ac+2]);
+ IM(t3) = IM(cc[ac+1]) + IM(cc[ac+2]);
+ RE(t4) = RE(cc[ac+1]) - RE(cc[ac+2]);
+ IM(t4) = IM(cc[ac+1]) - IM(cc[ac+2]);
+ RE(t5) = RE(cc[ac]) - RE(cc[ac+3]);
+ IM(t5) = IM(cc[ac]) - IM(cc[ac+3]);
+
+ RE(ch[ah]) = RE(cc[ac-1]) + RE(t2) + RE(t3);
+ IM(ch[ah]) = IM(cc[ac-1]) + IM(t2) + IM(t3);
+
+ RE(c2) = RE(cc[ac-1]) + MUL_F(RE(t2),tr11) + MUL_F(RE(t3),tr12);
+ IM(c2) = IM(cc[ac-1]) + MUL_F(IM(t2),tr11) + MUL_F(IM(t3),tr12);
+ RE(c3) = RE(cc[ac-1]) + MUL_F(RE(t2),tr12) + MUL_F(RE(t3),tr11);
+ IM(c3) = IM(cc[ac-1]) + MUL_F(IM(t2),tr12) + MUL_F(IM(t3),tr11);
+
+ ComplexMult(&RE(c4), &RE(c5),
+ ti12, ti11, RE(t5), RE(t4));
+ ComplexMult(&IM(c4), &IM(c5),
+ ti12, ti12, IM(t5), IM(t4));
+
+ RE(ch[ah+l1]) = RE(c2) + IM(c5);
+ IM(ch[ah+l1]) = IM(c2) - RE(c5);
+ RE(ch[ah+2*l1]) = RE(c3) + IM(c4);
+ IM(ch[ah+2*l1]) = IM(c3) - RE(c4);
+ RE(ch[ah+3*l1]) = RE(c3) - IM(c4);
+ IM(ch[ah+3*l1]) = IM(c3) + RE(c4);
+ RE(ch[ah+4*l1]) = RE(c2) - IM(c5);
+ IM(ch[ah+4*l1]) = IM(c2) + RE(c5);
+ }
+ }
+ } else {
+ if (isign == 1)
+ {
+ for (k = 0; k < l1; k++)
+ {
+ for (i = 0; i < ido; i++)
+ {
+ ac = i + (k*5 + 1) * ido;
+ ah = i + k * ido;
+
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+3*ido]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+3*ido]);
+ RE(t3) = RE(cc[ac+ido]) + RE(cc[ac+2*ido]);
+ IM(t3) = IM(cc[ac+ido]) + IM(cc[ac+2*ido]);
+ RE(t4) = RE(cc[ac+ido]) - RE(cc[ac+2*ido]);
+ IM(t4) = IM(cc[ac+ido]) - IM(cc[ac+2*ido]);
+ RE(t5) = RE(cc[ac]) - RE(cc[ac+3*ido]);
+ IM(t5) = IM(cc[ac]) - IM(cc[ac+3*ido]);
+
+ RE(ch[ah]) = RE(cc[ac-ido]) + RE(t2) + RE(t3);
+ IM(ch[ah]) = IM(cc[ac-ido]) + IM(t2) + IM(t3);
+
+ RE(c2) = RE(cc[ac-ido]) + MUL_F(RE(t2),tr11) + MUL_F(RE(t3),tr12);
+ IM(c2) = IM(cc[ac-ido]) + MUL_F(IM(t2),tr11) + MUL_F(IM(t3),tr12);
+ RE(c3) = RE(cc[ac-ido]) + MUL_F(RE(t2),tr12) + MUL_F(RE(t3),tr11);
+ IM(c3) = IM(cc[ac-ido]) + MUL_F(IM(t2),tr12) + MUL_F(IM(t3),tr11);
+
+ ComplexMult(&RE(c5), &RE(c4),
+ ti11, ti12, RE(t5), RE(t4));
+ ComplexMult(&IM(c5), &IM(c4),
+ ti11, ti12, IM(t5), IM(t4));
+
+ IM(d2) = IM(c2) + RE(c5);
+ IM(d3) = IM(c3) + RE(c4);
+ RE(d4) = RE(c3) + IM(c4);
+ RE(d5) = RE(c2) + IM(c5);
+ RE(d2) = RE(c2) - IM(c5);
+ IM(d5) = IM(c2) - RE(c5);
+ RE(d3) = RE(c3) - IM(c4);
+ IM(d4) = IM(c3) - RE(c4);
+
+#if 1
+ ComplexMult(&IM(ch[ah+l1*ido]), &RE(ch[ah+l1*ido]),
+ IM(d2), RE(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&IM(ch[ah+2*l1*ido]), &RE(ch[ah+2*l1*ido]),
+ IM(d3), RE(d3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&IM(ch[ah+3*l1*ido]), &RE(ch[ah+3*l1*ido]),
+ IM(d4), RE(d4), RE(wa3[i]), IM(wa3[i]));
+ ComplexMult(&IM(ch[ah+4*l1*ido]), &RE(ch[ah+4*l1*ido]),
+ IM(d5), RE(d5), RE(wa4[i]), IM(wa4[i]));
+#else
+ ComplexMult(&RE(ch[ah+l1*ido]), &IM(ch[ah+l1*ido]),
+ RE(d2), IM(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&RE(ch[ah+2*l1*ido]), &IM(ch[ah+2*l1*ido]),
+ RE(d3), IM(d3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&RE(ch[ah+3*l1*ido]), &IM(ch[ah+3*l1*ido]),
+ RE(d4), IM(d4), RE(wa3[i]), IM(wa3[i]));
+ ComplexMult(&RE(ch[ah+4*l1*ido]), &IM(ch[ah+4*l1*ido]),
+ RE(d5), IM(d5), RE(wa4[i]), IM(wa4[i]));
+#endif
+ }
+ }
+ } else {
+ for (k = 0; k < l1; k++)
+ {
+ for (i = 0; i < ido; i++)
+ {
+ ac = i + (k*5 + 1) * ido;
+ ah = i + k * ido;
+
+ RE(t2) = RE(cc[ac]) + RE(cc[ac+3*ido]);
+ IM(t2) = IM(cc[ac]) + IM(cc[ac+3*ido]);
+ RE(t3) = RE(cc[ac+ido]) + RE(cc[ac+2*ido]);
+ IM(t3) = IM(cc[ac+ido]) + IM(cc[ac+2*ido]);
+ RE(t4) = RE(cc[ac+ido]) - RE(cc[ac+2*ido]);
+ IM(t4) = IM(cc[ac+ido]) - IM(cc[ac+2*ido]);
+ RE(t5) = RE(cc[ac]) - RE(cc[ac+3*ido]);
+ IM(t5) = IM(cc[ac]) - IM(cc[ac+3*ido]);
+
+ RE(ch[ah]) = RE(cc[ac-ido]) + RE(t2) + RE(t3);
+ IM(ch[ah]) = IM(cc[ac-ido]) + IM(t2) + IM(t3);
+
+ RE(c2) = RE(cc[ac-ido]) + MUL_F(RE(t2),tr11) + MUL_F(RE(t3),tr12);
+ IM(c2) = IM(cc[ac-ido]) + MUL_F(IM(t2),tr11) + MUL_F(IM(t3),tr12);
+ RE(c3) = RE(cc[ac-ido]) + MUL_F(RE(t2),tr12) + MUL_F(RE(t3),tr11);
+ IM(c3) = IM(cc[ac-ido]) + MUL_F(IM(t2),tr12) + MUL_F(IM(t3),tr11);
+
+ ComplexMult(&RE(c4), &RE(c5),
+ ti12, ti11, RE(t5), RE(t4));
+ ComplexMult(&IM(c4), &IM(c5),
+ ti12, ti12, IM(t5), IM(t4));
+
+ IM(d2) = IM(c2) - RE(c5);
+ IM(d3) = IM(c3) - RE(c4);
+ RE(d4) = RE(c3) - IM(c4);
+ RE(d5) = RE(c2) - IM(c5);
+ RE(d2) = RE(c2) + IM(c5);
+ IM(d5) = IM(c2) + RE(c5);
+ RE(d3) = RE(c3) + IM(c4);
+ IM(d4) = IM(c3) + RE(c4);
+
+#if 1
+ ComplexMult(&RE(ch[ah+l1*ido]), &IM(ch[ah+l1*ido]),
+ RE(d2), IM(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&RE(ch[ah+2*l1*ido]), &IM(ch[ah+2*l1*ido]),
+ RE(d3), IM(d3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&RE(ch[ah+3*l1*ido]), &IM(ch[ah+3*l1*ido]),
+ RE(d4), IM(d4), RE(wa3[i]), IM(wa3[i]));
+ ComplexMult(&RE(ch[ah+4*l1*ido]), &IM(ch[ah+4*l1*ido]),
+ RE(d5), IM(d5), RE(wa4[i]), IM(wa4[i]));
+#else
+ ComplexMult(&IM(ch[ah+l1*ido]), &RE(ch[ah+l1*ido]),
+ IM(d2), RE(d2), RE(wa1[i]), IM(wa1[i]));
+ ComplexMult(&IM(ch[ah+2*l1*ido]), &RE(ch[ah+2*l1*ido]),
+ IM(d3), RE(d3), RE(wa2[i]), IM(wa2[i]));
+ ComplexMult(&IM(ch[ah+3*l1*ido]), &RE(ch[ah+3*l1*ido]),
+ IM(d4), RE(d4), RE(wa3[i]), IM(wa3[i]));
+ ComplexMult(&IM(ch[ah+4*l1*ido]), &RE(ch[ah+4*l1*ido]),
+ IM(d5), RE(d5), RE(wa4[i]), IM(wa4[i]));
+#endif
+ }
}
}
}
@@ -340,8 +992,104 @@
cfftf1, cfftf, cfftb, cffti1, cffti. Complex FFTs.
----------------------------------------------------------------------*/
-INLINE void cfftf1(uint16_t n, complex_t *c, complex_t *ch,
- uint16_t *ifac, complex_t *wa, int8_t isign)
+#ifdef USE_SSE
+
+#define CONV(A,B,C) ( (A<<2) | ((B & 0x1)<<1) | ((C==1)&0x1) )
+
+static INLINE void cfftf1pos_sse(uint16_t n, complex_t *c, complex_t *ch,
+ const uint16_t *ifac, const complex_t *wa,
+ const int8_t isign)
+{
+ uint16_t i;
+ uint16_t k1, l1, l2;
+ uint16_t na, nf, ip, iw, ix2, ix3, ix4, ido, idl1;
+
+ nf = ifac[1];
+ na = 0;
+ l1 = 1;
+ iw = 0;
+
+ for (k1 = 2; k1 <= nf+1; k1++)
+ {
+ ip = ifac[k1];
+ l2 = ip*l1;
+ ido = n / l2;
+ idl1 = ido*l1;
+
+ ix2 = iw + ido;
+ ix3 = ix2 + ido;
+ ix4 = ix3 + ido;
+
+ switch (CONV(ip,na,ido))
+ {
+ case CONV(4,0,0):
+ //passf4pos_sse_ido((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3]);
+ passf4pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3]);
+ break;
+ case CONV(4,0,1):
+ passf4pos_sse((const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3]);
+ break;
+ case CONV(4,1,0):
+ passf4pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3]);
+ //passf4pos_sse_ido((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3]);
+ break;
+ case CONV(4,1,1):
+ passf4pos_sse((const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3]);
+ break;
+ case CONV(2,0,0):
+ passf2pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw]);
+ //passf2pos_sse_ido((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw]);
+ break;
+ case CONV(2,0,1):
+ passf2pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw]);
+ //passf2pos_sse((const uint16_t)l1, (const complex_t*)c, ch, &wa[iw]);
+ break;
+ case CONV(2,1,0):
+ passf2pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw]);
+ //passf2pos_sse_ido((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw]);
+ break;
+ case CONV(2,1,1):
+ passf2pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw]);
+ //passf2pos_sse((const uint16_t)l1, (const complex_t*)ch, c, &wa[iw]);
+ break;
+ case CONV(3,0,0):
+ case CONV(3,0,1):
+ passf3((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], isign);
+ break;
+ case CONV(3,1,0):
+ case CONV(3,1,1):
+ passf3((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], isign);
+ break;
+ case CONV(5,0,0):
+ case CONV(5,0,1):
+ passf5((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
+ break;
+ case CONV(5,1,0):
+ case CONV(5,1,1):
+ passf5((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
+ break;
+ }
+
+ na = 1 - na;
+
+ l1 = l2;
+ iw += (ip-1) * ido;
+ }
+
+ if (na == 0)
+ return;
+
+ for (i = 0; i < n; i++)
+ {
+ RE(c[i]) = RE(ch[i]);
+ IM(c[i]) = IM(ch[i]);
+ }
+}
+#endif
+
+static INLINE void cfftf1pos(uint16_t n, complex_t *c, complex_t *ch,
+ const uint16_t *ifac, const complex_t *wa,
+ const int8_t isign)
{
uint16_t i;
uint16_t k1, l1, l2;
@@ -366,17 +1114,17 @@
ix3 = ix2 + ido;
if (na == 0)
- passf4(ido, l1, c, ch, &wa[iw], &wa[ix2], &wa[ix3], isign);
+ passf4pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3]);
else
- passf4(ido, l1, ch, c, &wa[iw], &wa[ix2], &wa[ix3], isign);
+ passf4pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3]);
na = 1 - na;
break;
case 2:
if (na == 0)
- passf2(ido, l1, c, ch, &wa[iw], isign);
+ passf2pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw]);
else
- passf2(ido, l1, ch, c, &wa[iw], isign);
+ passf2pos((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw]);
na = 1 - na;
break;
@@ -384,9 +1132,9 @@
ix2 = iw + ido;
if (na == 0)
- passf3(ido, l1, c, ch, &wa[iw], &wa[ix2], isign);
+ passf3((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], isign);
else
- passf3(ido, l1, ch, c, &wa[iw], &wa[ix2], isign);
+ passf3((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], isign);
na = 1 - na;
break;
@@ -396,9 +1144,88 @@
ix4 = ix3 + ido;
if (na == 0)
- passf5(ido, l1, c, ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
+ passf5((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
else
- passf5(ido, l1, ch, c, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
+ passf5((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
+
+ na = 1 - na;
+ break;
+ }
+
+ l1 = l2;
+ iw += (ip-1) * ido;
+ }
+
+ if (na == 0)
+ return;
+
+ for (i = 0; i < n; i++)
+ {
+ RE(c[i]) = RE(ch[i]);
+ IM(c[i]) = IM(ch[i]);
+ }
+}
+
+static INLINE void cfftf1neg(uint16_t n, complex_t *c, complex_t *ch,
+ const uint16_t *ifac, const complex_t *wa,
+ const int8_t isign)
+{
+ uint16_t i;
+ uint16_t k1, l1, l2;
+ uint16_t na, nf, ip, iw, ix2, ix3, ix4, ido, idl1;
+
+ nf = ifac[1];
+ na = 0;
+ l1 = 1;
+ iw = 0;
+
+ for (k1 = 2; k1 <= nf+1; k1++)
+ {
+ ip = ifac[k1];
+ l2 = ip*l1;
+ ido = n / l2;
+ idl1 = ido*l1;
+
+ switch (ip)
+ {
+ case 4:
+ ix2 = iw + ido;
+ ix3 = ix2 + ido;
+
+ if (na == 0)
+ passf4neg((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3]);
+ else
+ passf4neg((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3]);
+
+ na = 1 - na;
+ break;
+ case 2:
+ if (na == 0)
+ passf2neg((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw]);
+ else
+ passf2neg((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw]);
+
+ na = 1 - na;
+ break;
+ case 3:
+ ix2 = iw + ido;
+
+ if (na == 0)
+ passf3((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], isign);
+ else
+ passf3((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], isign);
+
+ na = 1 - na;
+ break;
+ case 5:
+ ix2 = iw + ido;
+ ix3 = ix2 + ido;
+ ix4 = ix3 + ido;
+
+ if (na == 0)
+ passf5((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)c, ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
+ else
+ passf5((const uint16_t)ido, (const uint16_t)l1, (const complex_t*)ch, c, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign);
na = 1 - na;
break;
@@ -420,13 +1247,20 @@
void cfftf(cfft_info *cfft, complex_t *c)
{
- cfftf1(cfft->n, c, cfft->work, cfft->ifac, cfft->tab, -1);
+ cfftf1neg(cfft->n, c, cfft->work, (const uint16_t*)cfft->ifac, (const complex_t*)cfft->tab, -1);
}
void cfftb(cfft_info *cfft, complex_t *c)
{
- cfftf1(cfft->n, c, cfft->work, cfft->ifac, cfft->tab, +1);
+ cfftf1pos(cfft->n, c, cfft->work, (const uint16_t*)cfft->ifac, (const complex_t*)cfft->tab, +1);
+}
+
+#ifdef USE_SSE
+void cfftb_sse(cfft_info *cfft, complex_t *c)
+{
+ cfftf1pos_sse(cfft->n, c, cfft->work, (const uint16_t*)cfft->ifac, (const complex_t*)cfft->tab, +1);
}
+#endif
static void cffti1(uint16_t n, complex_t *wa, uint16_t *ifac)
{
@@ -437,7 +1271,7 @@
uint16_t i1, k1, l1, l2;
uint16_t ld, ii, ip;
#endif
- uint16_t ntry, i, j;
+ uint16_t ntry = 0, i, j;
uint16_t ib;
uint16_t nf, nl, nq, nr;
@@ -480,7 +1314,7 @@
ifac[1] = nf;
#ifndef FIXED_POINT
- argh = (real_t)2.0*M_PI / (real_t)n;
+ argh = (real_t)2.0*(real_t)M_PI / (real_t)n;
i = 0;
l1 = 1;
@@ -507,7 +1341,11 @@
fi++;
arg = fi * argld;
RE(wa[i]) = (real_t)cos(arg);
+#if 1
IM(wa[i]) = (real_t)sin(arg);
+#else
+ IM(wa[i]) = (real_t)-sin(arg);
+#endif
}
if (ip > 5)
@@ -523,13 +1361,13 @@
cfft_info *cffti(uint16_t n)
{
- cfft_info *cfft = (cfft_info*)malloc(sizeof(cfft_info));
+ cfft_info *cfft = (cfft_info*)faad_malloc(sizeof(cfft_info));
cfft->n = n;
- cfft->work = (complex_t*)malloc(n*sizeof(complex_t));
+ cfft->work = (complex_t*)faad_malloc(n*sizeof(complex_t));
#ifndef FIXED_POINT
- cfft->tab = (complex_t*)malloc(n*sizeof(complex_t));
+ cfft->tab = (complex_t*)faad_malloc(n*sizeof(complex_t));
cffti1(n, cfft->tab, cfft->ifac);
#else
@@ -537,14 +1375,19 @@
switch (n)
{
- case 60: cfft->tab = cfft_tab_60; break;
case 64: cfft->tab = cfft_tab_64; break;
- case 480: cfft->tab = cfft_tab_480; break;
case 512: cfft->tab = cfft_tab_512; break;
#ifdef LD_DEC
- case 240: cfft->tab = cfft_tab_240; break;
case 256: cfft->tab = cfft_tab_256; break;
#endif
+
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ case 60: cfft->tab = cfft_tab_60; break;
+ case 480: cfft->tab = cfft_tab_480; break;
+#ifdef LD_DEC
+ case 240: cfft->tab = cfft_tab_240; break;
+#endif
+#endif
}
#endif
@@ -553,10 +1396,11 @@
void cfftu(cfft_info *cfft)
{
- if (cfft->work) free(cfft->work);
+ if (cfft->work) faad_free(cfft->work);
#ifndef FIXED_POINT
- if (cfft->tab) free(cfft->tab);
+ if (cfft->tab) faad_free(cfft->tab);
#endif
- if (cfft) free(cfft);
+ if (cfft) faad_free(cfft);
}
+
Index: cfft.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/cfft.h,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- cfft.h 30 Aug 2003 22:30:21 -0000 1.1
+++ cfft.h 2 Jun 2004 22:59:02 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,25 +32,23 @@
extern "C" {
#endif
+typedef struct
+{
+ uint16_t n;
+ uint16_t ifac[15];
+ complex_t *work;
+ complex_t *tab;
+} cfft_info;
+
void cfftf(cfft_info *cfft, complex_t *c);
void cfftb(cfft_info *cfft, complex_t *c);
cfft_info *cffti(uint16_t n);
void cfftu(cfft_info *cfft);
-
-static void passf2(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa, int8_t isign);
-static void passf3(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa1, complex_t *wa2, int8_t isign);
-static void passf4(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa1, complex_t *wa2, complex_t *wa3, int8_t isign);
-static void passf5(uint16_t ido, uint16_t l1, complex_t *cc, complex_t *ch,
- complex_t *wa1, complex_t *wa2, complex_t *wa3, complex_t *wa4,
- int8_t isign);
-INLINE void cfftf1(uint16_t n, complex_t *c, complex_t *ch,
- uint16_t *ifac, complex_t *wa, int8_t isign);
-static void cffti1(uint16_t n, complex_t *wa, uint16_t *ifac);
+#ifdef USE_SSE
+void cfftb_sse(cfft_info *cfft, complex_t *c);
+#endif
#ifdef __cplusplus
Index: cfft_tab.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/cfft_tab.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- cfft_tab.h 3 Oct 2003 22:22:27 -0000 1.2
+++ cfft_tab.h 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -34,1643 +34,1649 @@
#ifdef FIXED_POINT
-complex_t cfft_tab_512[] =
+ALIGN static const complex_t cfft_tab_512[] =
{
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99992472), COEF_CONST(0.01227154) },
- { COEF_CONST(0.99969882), COEF_CONST(0.02454123) },
- { COEF_CONST(0.99932235), COEF_CONST(0.03680722) },
- { COEF_CONST(0.99879545), COEF_CONST(0.04906768) },
- { COEF_CONST(0.99811810), COEF_CONST(0.06132074) },
- { COEF_CONST(0.99729043), COEF_CONST(0.07356457) },
- { COEF_CONST(0.99631262), COEF_CONST(0.08579732) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.99390697), COEF_CONST(0.11022221) },
- { COEF_CONST(0.99247956), COEF_CONST(0.12241068) },
- { COEF_CONST(0.99090266), COEF_CONST(0.13458072) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.98730141), COEF_CONST(0.15885815) },
- { COEF_CONST(0.98527765), COEF_CONST(0.17096190) },
- { COEF_CONST(0.98310548), COEF_CONST(0.18303989) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.97831738), COEF_CONST(0.20711139) },
- { COEF_CONST(0.97570211), COEF_CONST(0.21910124) },
- { COEF_CONST(0.97293997), COEF_CONST(0.23105812) },
- { COEF_CONST(0.97003126), COEF_CONST(0.24298020) },
- { COEF_CONST(0.96697646), COEF_CONST(0.25486568) },
- { COEF_CONST(0.96377605), COEF_CONST(0.26671278) },
- { COEF_CONST(0.96043050), COEF_CONST(0.27851969) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.95330602), COEF_CONST(0.30200595) },
- { COEF_CONST(0.94952816), COEF_CONST(0.31368175) },
- { COEF_CONST(0.94560730), COEF_CONST(0.32531032) },
- { COEF_CONST(0.94154406), COEF_CONST(0.33688986) },
- { COEF_CONST(0.93733901), COEF_CONST(0.34841868) },
- { COEF_CONST(0.93299282), COEF_CONST(0.35989505) },
- { COEF_CONST(0.92850608), COEF_CONST(0.37131721) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.91911387), COEF_CONST(0.39399207) },
- { COEF_CONST(0.91420972), COEF_CONST(0.40524134) },
- { COEF_CONST(0.90916800), COEF_CONST(0.41642958) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.89867449), COEF_CONST(0.43861625) },
- { COEF_CONST(0.89322430), COEF_CONST(0.44961134) },
- { COEF_CONST(0.88763964), COEF_CONST(0.46053872) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.87607008), COEF_CONST(0.48218375) },
- { COEF_CONST(0.87008697), COEF_CONST(0.49289823) },
- { COEF_CONST(0.86397284), COEF_CONST(0.50353837) },
- { COEF_CONST(0.85772860), COEF_CONST(0.51410276) },
- { COEF_CONST(0.85135520), COEF_CONST(0.52458972) },
- { COEF_CONST(0.84485358), COEF_CONST(0.53499764) },
- { COEF_CONST(0.83822471), COEF_CONST(0.54532498) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.82458931), COEF_CONST(0.56573182) },
- { COEF_CONST(0.81758481), COEF_CONST(0.57580823) },
- { COEF_CONST(0.81045717), COEF_CONST(0.58579791) },
- { COEF_CONST(0.80320752), COEF_CONST(0.59569931) },
- { COEF_CONST(0.79583687), COEF_CONST(0.60551101) },
- { COEF_CONST(0.78834641), COEF_CONST(0.61523163) },
- { COEF_CONST(0.78073722), COEF_CONST(0.62485951) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.76516724), COEF_CONST(0.64383155) },
- { COEF_CONST(0.75720882), COEF_CONST(0.65317285) },
- { COEF_CONST(0.74913639), COEF_CONST(0.66241580) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.73265427), COEF_CONST(0.68060100) },
- { COEF_CONST(0.72424710), COEF_CONST(0.68954057) },
- { COEF_CONST(0.71573079), COEF_CONST(0.69837630) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.69837624), COEF_CONST(0.71573085) },
- { COEF_CONST(0.68954051), COEF_CONST(0.72424710) },
- { COEF_CONST(0.68060100), COEF_CONST(0.73265427) },
- { COEF_CONST(0.67155892), COEF_CONST(0.74095118) },
- { COEF_CONST(0.66241574), COEF_CONST(0.74913639) },
- { COEF_CONST(0.65317285), COEF_CONST(0.75720888) },
- { COEF_CONST(0.64383155), COEF_CONST(0.76516730) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.62485945), COEF_CONST(0.78073728) },
- { COEF_CONST(0.61523157), COEF_CONST(0.78834641) },
- { COEF_CONST(0.60551101), COEF_CONST(0.79583693) },
- { COEF_CONST(0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(0.58579785), COEF_CONST(0.81045717) },
- { COEF_CONST(0.57580817), COEF_CONST(0.81758481) },
- { COEF_CONST(0.56573176), COEF_CONST(0.82458931) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.54532498), COEF_CONST(0.83822471) },
- { COEF_CONST(0.53499758), COEF_CONST(0.84485358) },
- { COEF_CONST(0.52458966), COEF_CONST(0.85135520) },
- { COEF_CONST(0.51410270), COEF_CONST(0.85772866) },
- { COEF_CONST(0.50353837), COEF_CONST(0.86397284) },
- { COEF_CONST(0.49289817), COEF_CONST(0.87008697) },
- { COEF_CONST(0.48218375), COEF_CONST(0.87607014) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.46053869), COEF_CONST(0.88763964) },
- { COEF_CONST(0.44961131), COEF_CONST(0.89322430) },
- { COEF_CONST(0.43861622), COEF_CONST(0.89867449) },
- { COEF_CONST(0.42755505), COEF_CONST(0.90398932) },
- { COEF_CONST(0.41642952), COEF_CONST(0.90916800) },
- { COEF_CONST(0.40524128), COEF_CONST(0.91420978) },
- { COEF_CONST(0.39399201), COEF_CONST(0.91911387) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.37131718), COEF_CONST(0.92850608) },
- { COEF_CONST(0.35989499), COEF_CONST(0.93299282) },
- { COEF_CONST(0.34841865), COEF_CONST(0.93733901) },
- { COEF_CONST(0.33688983), COEF_CONST(0.94154406) },
- { COEF_CONST(0.32531026), COEF_CONST(0.94560736) },
- { COEF_CONST(0.31368172), COEF_CONST(0.94952822) },
- { COEF_CONST(0.30200592), COEF_CONST(0.95330602) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.27851966), COEF_CONST(0.96043056) },
- { COEF_CONST(0.26671273), COEF_CONST(0.96377605) },
- { COEF_CONST(0.25486562), COEF_CONST(0.96697646) },
- { COEF_CONST(0.24298014), COEF_CONST(0.97003126) },
- { COEF_CONST(0.23105808), COEF_CONST(0.97293997) },
- { COEF_CONST(0.21910121), COEF_CONST(0.97570211) },
- { COEF_CONST(0.20711134), COEF_CONST(0.97831738) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.18303984), COEF_CONST(0.98310548) },
- { COEF_CONST(0.17096186), COEF_CONST(0.98527765) },
- { COEF_CONST(0.15885811), COEF_CONST(0.98730141) },
- { COEF_CONST(0.14673044), COEF_CONST(0.98917651) },
- { COEF_CONST(0.13458067), COEF_CONST(0.99090266) },
- { COEF_CONST(0.12241063), COEF_CONST(0.99247956) },
- { COEF_CONST(0.11022217), COEF_CONST(0.99390697) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(0.08579727), COEF_CONST(0.99631262) },
- { COEF_CONST(0.07356452), COEF_CONST(0.99729043) },
- { COEF_CONST(0.06132070), COEF_CONST(0.99811810) },
- { COEF_CONST(0.04906763), COEF_CONST(0.99879545) },
- { COEF_CONST(0.03680718), COEF_CONST(0.99932241) },
- { COEF_CONST(0.02454119), COEF_CONST(0.99969882) },
- { COEF_CONST(0.01227149), COEF_CONST(0.99992472) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.01227158), COEF_CONST(0.99992472) },
- { COEF_CONST(-0.02454127), COEF_CONST(0.99969882) },
- { COEF_CONST(-0.03680727), COEF_CONST(0.99932235) },
- { COEF_CONST(-0.04906772), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.06132078), COEF_CONST(0.99811810) },
- { COEF_CONST(-0.07356461), COEF_CONST(0.99729043) },
- { COEF_CONST(-0.08579735), COEF_CONST(0.99631262) },
- { COEF_CONST(-0.09801719), COEF_CONST(0.99518472) },
- { COEF_CONST(-0.11022225), COEF_CONST(0.99390697) },
- { COEF_CONST(-0.12241072), COEF_CONST(0.99247950) },
- { COEF_CONST(-0.13458076), COEF_CONST(0.99090260) },
- { COEF_CONST(-0.14673053), COEF_CONST(0.98917651) },
- { COEF_CONST(-0.15885819), COEF_CONST(0.98730141) },
- { COEF_CONST(-0.17096193), COEF_CONST(0.98527765) },
- { COEF_CONST(-0.18303993), COEF_CONST(0.98310548) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.20711142), COEF_CONST(0.97831738) },
- { COEF_CONST(-0.21910129), COEF_CONST(0.97570211) },
- { COEF_CONST(-0.23105815), COEF_CONST(0.97293991) },
- { COEF_CONST(-0.24298023), COEF_CONST(0.97003126) },
- { COEF_CONST(-0.25486571), COEF_CONST(0.96697646) },
- { COEF_CONST(-0.26671281), COEF_CONST(0.96377605) },
- { COEF_CONST(-0.27851975), COEF_CONST(0.96043050) },
- { COEF_CONST(-0.29028472), COEF_CONST(0.95694029) },
- { COEF_CONST(-0.30200601), COEF_CONST(0.95330602) },
- { COEF_CONST(-0.31368178), COEF_CONST(0.94952816) },
- { COEF_CONST(-0.32531035), COEF_CONST(0.94560730) },
- { COEF_CONST(-0.33688989), COEF_CONST(0.94154406) },
- { COEF_CONST(-0.34841874), COEF_CONST(0.93733895) },
- { COEF_CONST(-0.35989508), COEF_CONST(0.93299282) },
- { COEF_CONST(-0.37131724), COEF_CONST(0.92850608) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.39399210), COEF_CONST(0.91911387) },
- { COEF_CONST(-0.40524137), COEF_CONST(0.91420972) },
- { COEF_CONST(-0.41642961), COEF_CONST(0.90916800) },
- { COEF_CONST(-0.42755514), COEF_CONST(0.90398932) },
- { COEF_CONST(-0.43861628), COEF_CONST(0.89867443) },
- { COEF_CONST(-0.44961137), COEF_CONST(0.89322430) },
- { COEF_CONST(-0.46053877), COEF_CONST(0.88763958) },
- { COEF_CONST(-0.47139677), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.48218381), COEF_CONST(0.87607002) },
- { COEF_CONST(-0.49289826), COEF_CONST(0.87008703) },
- { COEF_CONST(-0.50353843), COEF_CONST(0.86397284) },
- { COEF_CONST(-0.51410282), COEF_CONST(0.85772860) },
- { COEF_CONST(-0.52458972), COEF_CONST(0.85135514) },
- { COEF_CONST(-0.53499764), COEF_CONST(0.84485352) },
- { COEF_CONST(-0.54532504), COEF_CONST(0.83822465) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.56573188), COEF_CONST(0.82458931) },
- { COEF_CONST(-0.57580823), COEF_CONST(0.81758481) },
- { COEF_CONST(-0.58579791), COEF_CONST(0.81045717) },
- { COEF_CONST(-0.59569937), COEF_CONST(0.80320752) },
- { COEF_CONST(-0.60551107), COEF_CONST(0.79583687) },
- { COEF_CONST(-0.61523163), COEF_CONST(0.78834635) },
- { COEF_CONST(-0.62485951), COEF_CONST(0.78073710) },
- { COEF_CONST(-0.63439333), COEF_CONST(0.77301049) },
- { COEF_CONST(-0.64383161), COEF_CONST(0.76516724) },
- { COEF_CONST(-0.65317291), COEF_CONST(0.75720882) },
- { COEF_CONST(-0.66241580), COEF_CONST(0.74913633) },
- { COEF_CONST(-0.67155898), COEF_CONST(0.74095106) },
- { COEF_CONST(-0.68060106), COEF_CONST(0.73265415) },
- { COEF_CONST(-0.68954057), COEF_CONST(0.72424698) },
- { COEF_CONST(-0.69837630), COEF_CONST(0.71573085) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.71573085), COEF_CONST(0.69837624) },
- { COEF_CONST(-0.72424716), COEF_CONST(0.68954051) },
- { COEF_CONST(-0.73265433), COEF_CONST(0.68060094) },
- { COEF_CONST(-0.74095118), COEF_CONST(0.67155886) },
- { COEF_CONST(-0.74913645), COEF_CONST(0.66241562) },
- { COEF_CONST(-0.75720888), COEF_CONST(0.65317285) },
- { COEF_CONST(-0.76516730), COEF_CONST(0.64383155) },
- { COEF_CONST(-0.77301049), COEF_CONST(0.63439327) },
- { COEF_CONST(-0.78073728), COEF_CONST(0.62485945) },
- { COEF_CONST(-0.78834647), COEF_CONST(0.61523151) },
- { COEF_CONST(-0.79583693), COEF_CONST(0.60551095) },
- { COEF_CONST(-0.80320758), COEF_CONST(0.59569913) },
- { COEF_CONST(-0.81045723), COEF_CONST(0.58579785) },
- { COEF_CONST(-0.81758487), COEF_CONST(0.57580817) },
- { COEF_CONST(-0.82458937), COEF_CONST(0.56573176) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.83822477), COEF_CONST(0.54532486) },
- { COEF_CONST(-0.84485358), COEF_CONST(0.53499746) },
- { COEF_CONST(-0.85135525), COEF_CONST(0.52458954) },
- { COEF_CONST(-0.85772866), COEF_CONST(0.51410276) },
- { COEF_CONST(-0.86397290), COEF_CONST(0.50353837) },
- { COEF_CONST(-0.87008703), COEF_CONST(0.49289814) },
- { COEF_CONST(-0.87607014), COEF_CONST(0.48218369) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139663) },
- { COEF_CONST(-0.88763964), COEF_CONST(0.46053857) },
- { COEF_CONST(-0.89322436), COEF_CONST(0.44961137) },
- { COEF_CONST(-0.89867449), COEF_CONST(0.43861625) },
- { COEF_CONST(-0.90398932), COEF_CONST(0.42755505) },
- { COEF_CONST(-0.90916800), COEF_CONST(0.41642949) },
- { COEF_CONST(-0.91420978), COEF_CONST(0.40524122) },
- { COEF_CONST(-0.91911387), COEF_CONST(0.39399192) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.92850614), COEF_CONST(0.37131724) },
- { COEF_CONST(-0.93299282), COEF_CONST(0.35989505) },
- { COEF_CONST(-0.93733907), COEF_CONST(0.34841865) },
- { COEF_CONST(-0.94154412), COEF_CONST(0.33688980) },
- { COEF_CONST(-0.94560736), COEF_CONST(0.32531020) },
- { COEF_CONST(-0.94952822), COEF_CONST(0.31368160) },
- { COEF_CONST(-0.95330608), COEF_CONST(0.30200580) },
- { COEF_CONST(-0.95694035), COEF_CONST(0.29028472) },
- { COEF_CONST(-0.96043056), COEF_CONST(0.27851969) },
- { COEF_CONST(-0.96377611), COEF_CONST(0.26671273) },
- { COEF_CONST(-0.96697646), COEF_CONST(0.25486559) },
- { COEF_CONST(-0.97003126), COEF_CONST(0.24298008) },
- { COEF_CONST(-0.97293997), COEF_CONST(0.23105797) },
- { COEF_CONST(-0.97570217), COEF_CONST(0.21910107) },
- { COEF_CONST(-0.97831738), COEF_CONST(0.20711140) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.98310548), COEF_CONST(0.18303984) },
- { COEF_CONST(-0.98527765), COEF_CONST(0.17096181) },
- { COEF_CONST(-0.98730141), COEF_CONST(0.15885803) },
- { COEF_CONST(-0.98917651), COEF_CONST(0.14673033) },
- { COEF_CONST(-0.99090266), COEF_CONST(0.13458052) },
- { COEF_CONST(-0.99247956), COEF_CONST(0.12241070) },
- { COEF_CONST(-0.99390697), COEF_CONST(0.11022220) },
- { COEF_CONST(-0.99518472), COEF_CONST(0.09801710) },
- { COEF_CONST(-0.99631262), COEF_CONST(0.08579723) },
- { COEF_CONST(-0.99729049), COEF_CONST(0.07356445) },
- { COEF_CONST(-0.99811810), COEF_CONST(0.06132058) },
- { COEF_CONST(-0.99879545), COEF_CONST(0.04906749) },
- { COEF_CONST(-0.99932241), COEF_CONST(0.03680724) },
- { COEF_CONST(-0.99969882), COEF_CONST(0.02454121) },
- { COEF_CONST(-0.99992472), COEF_CONST(0.01227149) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99969882), COEF_CONST(0.02454123) },
- { COEF_CONST(0.99879545), COEF_CONST(0.04906768) },
- { COEF_CONST(0.99729043), COEF_CONST(0.07356457) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.99247956), COEF_CONST(0.12241068) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.98527765), COEF_CONST(0.17096190) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.97570211), COEF_CONST(0.21910124) },
- { COEF_CONST(0.97003126), COEF_CONST(0.24298020) },
- { COEF_CONST(0.96377605), COEF_CONST(0.26671278) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.94952816), COEF_CONST(0.31368175) },
- { COEF_CONST(0.94154406), COEF_CONST(0.33688986) },
- { COEF_CONST(0.93299282), COEF_CONST(0.35989505) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.91420972), COEF_CONST(0.40524134) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.89322430), COEF_CONST(0.44961134) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.87008697), COEF_CONST(0.49289823) },
- { COEF_CONST(0.85772860), COEF_CONST(0.51410276) },
- { COEF_CONST(0.84485358), COEF_CONST(0.53499764) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.81758481), COEF_CONST(0.57580823) },
- { COEF_CONST(0.80320752), COEF_CONST(0.59569931) },
- { COEF_CONST(0.78834641), COEF_CONST(0.61523163) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.75720882), COEF_CONST(0.65317285) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.72424710), COEF_CONST(0.68954057) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.68954051), COEF_CONST(0.72424710) },
- { COEF_CONST(0.67155892), COEF_CONST(0.74095118) },
- { COEF_CONST(0.65317285), COEF_CONST(0.75720888) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.61523157), COEF_CONST(0.78834641) },
- { COEF_CONST(0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(0.57580817), COEF_CONST(0.81758481) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.53499758), COEF_CONST(0.84485358) },
- { COEF_CONST(0.51410270), COEF_CONST(0.85772866) },
- { COEF_CONST(0.49289817), COEF_CONST(0.87008697) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.44961131), COEF_CONST(0.89322430) },
- { COEF_CONST(0.42755505), COEF_CONST(0.90398932) },
- { COEF_CONST(0.40524128), COEF_CONST(0.91420978) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.35989499), COEF_CONST(0.93299282) },
- { COEF_CONST(0.33688983), COEF_CONST(0.94154406) },
- { COEF_CONST(0.31368172), COEF_CONST(0.94952822) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.26671273), COEF_CONST(0.96377605) },
- { COEF_CONST(0.24298014), COEF_CONST(0.97003126) },
- { COEF_CONST(0.21910121), COEF_CONST(0.97570211) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.17096186), COEF_CONST(0.98527765) },
- { COEF_CONST(0.14673044), COEF_CONST(0.98917651) },
- { COEF_CONST(0.12241063), COEF_CONST(0.99247956) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(0.07356452), COEF_CONST(0.99729043) },
- { COEF_CONST(0.04906763), COEF_CONST(0.99879545) },
- { COEF_CONST(0.02454119), COEF_CONST(0.99969882) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99879545), COEF_CONST(0.04906768) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.97003126), COEF_CONST(0.24298020) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.94154406), COEF_CONST(0.33688986) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.85772860), COEF_CONST(0.51410276) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.80320752), COEF_CONST(0.59569931) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.67155892), COEF_CONST(0.74095118) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.51410270), COEF_CONST(0.85772866) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.42755505), COEF_CONST(0.90398932) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.33688983), COEF_CONST(0.94154406) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.24298014), COEF_CONST(0.97003126) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.14673044), COEF_CONST(0.98917651) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(0.04906763), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.04906772), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.09801719), COEF_CONST(0.99518472) },
- { COEF_CONST(-0.14673053), COEF_CONST(0.98917651) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.24298023), COEF_CONST(0.97003126) },
- { COEF_CONST(-0.29028472), COEF_CONST(0.95694029) },
- { COEF_CONST(-0.33688989), COEF_CONST(0.94154406) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.42755514), COEF_CONST(0.90398932) },
- { COEF_CONST(-0.47139677), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.51410282), COEF_CONST(0.85772860) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.59569937), COEF_CONST(0.80320752) },
- { COEF_CONST(-0.63439333), COEF_CONST(0.77301049) },
- { COEF_CONST(-0.67155898), COEF_CONST(0.74095106) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.74095118), COEF_CONST(0.67155886) },
- { COEF_CONST(-0.77301049), COEF_CONST(0.63439327) },
- { COEF_CONST(-0.80320758), COEF_CONST(0.59569913) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.85772866), COEF_CONST(0.51410276) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139663) },
- { COEF_CONST(-0.90398932), COEF_CONST(0.42755505) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.94154412), COEF_CONST(0.33688980) },
- { COEF_CONST(-0.95694035), COEF_CONST(0.29028472) },
- { COEF_CONST(-0.97003126), COEF_CONST(0.24298008) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.98917651), COEF_CONST(0.14673033) },
- { COEF_CONST(-0.99518472), COEF_CONST(0.09801710) },
- { COEF_CONST(-0.99879545), COEF_CONST(0.04906749) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99729043), COEF_CONST(0.07356457) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.97570211), COEF_CONST(0.21910124) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.93299282), COEF_CONST(0.35989505) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.87008697), COEF_CONST(0.49289823) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.78834641), COEF_CONST(0.61523157) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.68954057), COEF_CONST(0.72424710) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.57580817), COEF_CONST(0.81758481) },
- { COEF_CONST(0.51410276), COEF_CONST(0.85772866) },
- { COEF_CONST(0.44961134), COEF_CONST(0.89322430) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(0.31368175), COEF_CONST(0.94952816) },
- { COEF_CONST(0.24298018), COEF_CONST(0.97003126) },
- { COEF_CONST(0.17096189), COEF_CONST(0.98527765) },
- { COEF_CONST(0.09801713), COEF_CONST(0.99518472) },
- { COEF_CONST(0.02454123), COEF_CONST(0.99969882) },
- { COEF_CONST(-0.04906768), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.12241068), COEF_CONST(0.99247950) },
- { COEF_CONST(-0.19509032), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.26671275), COEF_CONST(0.96377605) },
- { COEF_CONST(-0.33688986), COEF_CONST(0.94154406) },
- { COEF_CONST(-0.40524131), COEF_CONST(0.91420972) },
- { COEF_CONST(-0.47139674), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.53499764), COEF_CONST(0.84485352) },
- { COEF_CONST(-0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(-0.65317285), COEF_CONST(0.75720882) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.75720882), COEF_CONST(0.65317285) },
- { COEF_CONST(-0.80320752), COEF_CONST(0.59569937) },
- { COEF_CONST(-0.84485358), COEF_CONST(0.53499770) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139683) },
- { COEF_CONST(-0.91420978), COEF_CONST(0.40524122) },
- { COEF_CONST(-0.94154406), COEF_CONST(0.33688980) },
- { COEF_CONST(-0.96377605), COEF_CONST(0.26671273) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.99247956), COEF_CONST(0.12241070) },
- { COEF_CONST(-0.99879545), COEF_CONST(0.04906772) },
- { COEF_CONST(-0.99969882), COEF_CONST(-0.02454115) },
- { COEF_CONST(-0.99518472), COEF_CONST(-0.09801727) },
- { COEF_CONST(-0.98527765), COEF_CONST(-0.17096199) },
- { COEF_CONST(-0.97003126), COEF_CONST(-0.24298024) },
- { COEF_CONST(-0.94952816), COEF_CONST(-0.31368178) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.89322430), COEF_CONST(-0.44961131) },
- { COEF_CONST(-0.85772860), COEF_CONST(-0.51410270) },
- { COEF_CONST(-0.81758481), COEF_CONST(-0.57580811) },
- { COEF_CONST(-0.77301043), COEF_CONST(-0.63439322) },
- { COEF_CONST(-0.72424710), COEF_CONST(-0.68954062) },
- { COEF_CONST(-0.67155898), COEF_CONST(-0.74095118) },
- { COEF_CONST(-0.61523157), COEF_CONST(-0.78834647) },
- { COEF_CONST(-0.55557024), COEF_CONST(-0.83146977) },
- { COEF_CONST(-0.49289820), COEF_CONST(-0.87008697) },
- { COEF_CONST(-0.42755508), COEF_CONST(-0.90398937) },
- { COEF_CONST(-0.35989502), COEF_CONST(-0.93299276) },
- { COEF_CONST(-0.29028466), COEF_CONST(-0.95694035) },
- { COEF_CONST(-0.21910124), COEF_CONST(-0.97570211) },
- { COEF_CONST(-0.14673047), COEF_CONST(-0.98917651) },
- { COEF_CONST(-0.07356455), COEF_CONST(-0.99729043) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(0.09801713), COEF_CONST(0.99518472) },
- { COEF_CONST(-0.19509032), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.47139674), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139683) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.99518472), COEF_CONST(-0.09801727) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.77301043), COEF_CONST(-0.63439322) },
- { COEF_CONST(-0.55557024), COEF_CONST(-0.83146977) },
- { COEF_CONST(-0.29028466), COEF_CONST(-0.95694035) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.00000001), COEF_CONST(-1.00000000) }
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.999924719333649), FRAC_CONST(0.012271538376808) },
+ { FRAC_CONST(0.999698817729950), FRAC_CONST(0.024541229009628) },
+ { FRAC_CONST(0.999322354793549), FRAC_CONST(0.036807224154472) },
+ { FRAC_CONST(0.998795449733734), FRAC_CONST(0.049067676067352) },
+ { FRAC_CONST(0.998118102550507), FRAC_CONST(0.061320740729570) },
+ { FRAC_CONST(0.997290432453156), FRAC_CONST(0.073564566671848) },
+ { FRAC_CONST(0.996312618255615), FRAC_CONST(0.085797317326069) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.993906974792480), FRAC_CONST(0.110222205519676) },
+ { FRAC_CONST(0.992479562759399), FRAC_CONST(0.122410677373409) },
+ { FRAC_CONST(0.990902662277222), FRAC_CONST(0.134580716490746) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.987301409244537), FRAC_CONST(0.158858150243759) },
+ { FRAC_CONST(0.985277652740479), FRAC_CONST(0.170961901545525) },
+ { FRAC_CONST(0.983105480670929), FRAC_CONST(0.183039888739586) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.978317379951477), FRAC_CONST(0.207111388444901) },
+ { FRAC_CONST(0.975702106952667), FRAC_CONST(0.219101235270500) },
+ { FRAC_CONST(0.972939968109131), FRAC_CONST(0.231058120727539) },
+ { FRAC_CONST(0.970031261444092), FRAC_CONST(0.242980197072029) },
+ { FRAC_CONST(0.966976463794708), FRAC_CONST(0.254865676164627) },
+ { FRAC_CONST(0.963776051998138), FRAC_CONST(0.266712784767151) },
+ { FRAC_CONST(0.960430502891541), FRAC_CONST(0.278519690036774) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.953306019306183), FRAC_CONST(0.302005946636200) },
+ { FRAC_CONST(0.949528157711029), FRAC_CONST(0.313681751489639) },
+ { FRAC_CONST(0.945607304573059), FRAC_CONST(0.325310319662094) },
+ { FRAC_CONST(0.941544055938721), FRAC_CONST(0.336889863014221) },
+ { FRAC_CONST(0.937339007854462), FRAC_CONST(0.348418682813644) },
+ { FRAC_CONST(0.932992815971375), FRAC_CONST(0.359895050525665) },
+ { FRAC_CONST(0.928506076335907), FRAC_CONST(0.371317207813263) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.919113874435425), FRAC_CONST(0.393992066383362) },
+ { FRAC_CONST(0.914209723472595), FRAC_CONST(0.405241340398788) },
+ { FRAC_CONST(0.909167945384979), FRAC_CONST(0.416429579257965) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.898674488067627), FRAC_CONST(0.438616245985031) },
+ { FRAC_CONST(0.893224298954010), FRAC_CONST(0.449611335992813) },
+ { FRAC_CONST(0.887639641761780), FRAC_CONST(0.460538715124130) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.876070082187653), FRAC_CONST(0.482183754444122) },
+ { FRAC_CONST(0.870086967945099), FRAC_CONST(0.492898225784302) },
+ { FRAC_CONST(0.863972842693329), FRAC_CONST(0.503538370132446) },
+ { FRAC_CONST(0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(0.851355195045471), FRAC_CONST(0.524589717388153) },
+ { FRAC_CONST(0.844853579998016), FRAC_CONST(0.534997642040253) },
+ { FRAC_CONST(0.838224709033966), FRAC_CONST(0.545324981212616) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.824589252471924), FRAC_CONST(0.565731823444366) },
+ { FRAC_CONST(0.817584812641144), FRAC_CONST(0.575808227062225) },
+ { FRAC_CONST(0.810457170009613), FRAC_CONST(0.585797905921936) },
+ { FRAC_CONST(0.803207516670227), FRAC_CONST(0.595699310302734) },
+ { FRAC_CONST(0.795836925506592), FRAC_CONST(0.605511009693146) },
+ { FRAC_CONST(0.788346409797668), FRAC_CONST(0.615231633186340) },
+ { FRAC_CONST(0.780737221240997), FRAC_CONST(0.624859511852264) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.765167236328125), FRAC_CONST(0.643831551074982) },
+ { FRAC_CONST(0.757208824157715), FRAC_CONST(0.653172850608826) },
+ { FRAC_CONST(0.749136388301849), FRAC_CONST(0.662415802478790) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.732654273509979), FRAC_CONST(0.680601000785828) },
+ { FRAC_CONST(0.724247097969055), FRAC_CONST(0.689540565013886) },
+ { FRAC_CONST(0.715730786323547), FRAC_CONST(0.698376297950745) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.698376238346100), FRAC_CONST(0.715730845928192) },
+ { FRAC_CONST(0.689540505409241), FRAC_CONST(0.724247097969055) },
+ { FRAC_CONST(0.680601000785828), FRAC_CONST(0.732654273509979) },
+ { FRAC_CONST(0.671558916568756), FRAC_CONST(0.740951180458069) },
+ { FRAC_CONST(0.662415742874146), FRAC_CONST(0.749136388301849) },
+ { FRAC_CONST(0.653172791004181), FRAC_CONST(0.757208883762360) },
+ { FRAC_CONST(0.643831551074982), FRAC_CONST(0.765167295932770) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.624859452247620), FRAC_CONST(0.780737280845642) },
+ { FRAC_CONST(0.615231573581696), FRAC_CONST(0.788346409797668) },
+ { FRAC_CONST(0.605511009693146), FRAC_CONST(0.795836925506592) },
+ { FRAC_CONST(0.595699310302734), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(0.585797846317291), FRAC_CONST(0.810457170009613) },
+ { FRAC_CONST(0.575808167457581), FRAC_CONST(0.817584812641144) },
+ { FRAC_CONST(0.565731823444366), FRAC_CONST(0.824589312076569) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.545324981212616), FRAC_CONST(0.838224709033966) },
+ { FRAC_CONST(0.534997642040253), FRAC_CONST(0.844853579998016) },
+ { FRAC_CONST(0.524589657783508), FRAC_CONST(0.851355195045471) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.503538429737091), FRAC_CONST(0.863972842693329) },
+ { FRAC_CONST(0.492898195981979), FRAC_CONST(0.870086967945099) },
+ { FRAC_CONST(0.482183724641800), FRAC_CONST(0.876070141792297) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.460538715124130), FRAC_CONST(0.887639641761780) },
+ { FRAC_CONST(0.449611306190491), FRAC_CONST(0.893224298954010) },
+ { FRAC_CONST(0.438616186380386), FRAC_CONST(0.898674488067627) },
+ { FRAC_CONST(0.427555114030838), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(0.416429549455643), FRAC_CONST(0.909168004989624) },
+ { FRAC_CONST(0.405241280794144), FRAC_CONST(0.914209783077240) },
+ { FRAC_CONST(0.393991947174072), FRAC_CONST(0.919113874435425) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.371317148208618), FRAC_CONST(0.928506076335907) },
+ { FRAC_CONST(0.359894961118698), FRAC_CONST(0.932992815971375) },
+ { FRAC_CONST(0.348418682813644), FRAC_CONST(0.937339007854462) },
+ { FRAC_CONST(0.336889833211899), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(0.325310230255127), FRAC_CONST(0.945607364177704) },
+ { FRAC_CONST(0.313681662082672), FRAC_CONST(0.949528217315674) },
+ { FRAC_CONST(0.302005946636200), FRAC_CONST(0.953306019306183) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.278519600629807), FRAC_CONST(0.960430562496185) },
+ { FRAC_CONST(0.266712754964828), FRAC_CONST(0.963776051998138) },
+ { FRAC_CONST(0.254865646362305), FRAC_CONST(0.966976463794708) },
+ { FRAC_CONST(0.242980122566223), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.231058135628700), FRAC_CONST(0.972939968109131) },
+ { FRAC_CONST(0.219101220369339), FRAC_CONST(0.975702106952667) },
+ { FRAC_CONST(0.207111328840256), FRAC_CONST(0.978317379951477) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.183039888739586), FRAC_CONST(0.983105480670929) },
+ { FRAC_CONST(0.170961856842041), FRAC_CONST(0.985277652740479) },
+ { FRAC_CONST(0.158858075737953), FRAC_CONST(0.987301409244537) },
+ { FRAC_CONST(0.146730497479439), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(0.134580686688423), FRAC_CONST(0.990902662277222) },
+ { FRAC_CONST(0.122410625219345), FRAC_CONST(0.992479562759399) },
+ { FRAC_CONST(0.110222116112709), FRAC_CONST(0.993906974792480) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.085797272622585), FRAC_CONST(0.996312618255615) },
+ { FRAC_CONST(0.073564492166042), FRAC_CONST(0.997290432453156) },
+ { FRAC_CONST(0.061320748180151), FRAC_CONST(0.998118102550507) },
+ { FRAC_CONST(0.049067649990320), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(0.036807164549828), FRAC_CONST(0.999322414398193) },
+ { FRAC_CONST(0.024541135877371), FRAC_CONST(0.999698817729950) },
+ { FRAC_CONST(0.012271529063582), FRAC_CONST(0.999924719333649) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.012271616607904), FRAC_CONST(0.999924719333649) },
+ { FRAC_CONST(-0.024541223421693), FRAC_CONST(0.999698817729950) },
+ { FRAC_CONST(-0.036807250231504), FRAC_CONST(0.999322354793549) },
+ { FRAC_CONST(-0.049067739397287), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.061320833861828), FRAC_CONST(0.998118102550507) },
+ { FRAC_CONST(-0.073564574122429), FRAC_CONST(0.997290432453156) },
+ { FRAC_CONST(-0.085797362029552), FRAC_CONST(0.996312618255615) },
+ { FRAC_CONST(-0.098017223179340), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(-0.110222205519676), FRAC_CONST(0.993906974792480) },
+ { FRAC_CONST(-0.122410707175732), FRAC_CONST(0.992479503154755) },
+ { FRAC_CONST(-0.134580776095390), FRAC_CONST(0.990902602672577) },
+ { FRAC_CONST(-0.146730571985245), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(-0.158858165144920), FRAC_CONST(0.987301409244537) },
+ { FRAC_CONST(-0.170961946249008), FRAC_CONST(0.985277652740479) },
+ { FRAC_CONST(-0.183039978146553), FRAC_CONST(0.983105480670929) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.207111418247223), FRAC_CONST(0.978317379951477) },
+ { FRAC_CONST(-0.219101309776306), FRAC_CONST(0.975702106952667) },
+ { FRAC_CONST(-0.231058210134506), FRAC_CONST(0.972939908504486) },
+ { FRAC_CONST(-0.242980197072029), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(-0.254865705966949), FRAC_CONST(0.966976463794708) },
+ { FRAC_CONST(-0.266712844371796), FRAC_CONST(0.963776051998138) },
+ { FRAC_CONST(-0.278519690036774), FRAC_CONST(0.960430502891541) },
+ { FRAC_CONST(-0.290284723043442), FRAC_CONST(0.956940293312073) },
+ { FRAC_CONST(-0.302006036043167), FRAC_CONST(0.953306019306183) },
+ { FRAC_CONST(-0.313681721687317), FRAC_CONST(0.949528157711029) },
+ { FRAC_CONST(-0.325310319662094), FRAC_CONST(0.945607304573059) },
+ { FRAC_CONST(-0.336889922618866), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(-0.348418772220612), FRAC_CONST(0.937338948249817) },
+ { FRAC_CONST(-0.359895050525665), FRAC_CONST(0.932992815971375) },
+ { FRAC_CONST(-0.371317237615585), FRAC_CONST(0.928506076335907) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.393992036581039), FRAC_CONST(0.919113874435425) },
+ { FRAC_CONST(-0.405241340398788), FRAC_CONST(0.914209723472595) },
+ { FRAC_CONST(-0.416429519653320), FRAC_CONST(0.909168004989624) },
+ { FRAC_CONST(-0.427555084228516), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(-0.438616245985031), FRAC_CONST(0.898674428462982) },
+ { FRAC_CONST(-0.449611365795136), FRAC_CONST(0.893224298954010) },
+ { FRAC_CONST(-0.460538804531097), FRAC_CONST(0.887639582157135) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.482183903455734), FRAC_CONST(0.876070022583008) },
+ { FRAC_CONST(-0.492898166179657), FRAC_CONST(0.870087027549744) },
+ { FRAC_CONST(-0.503538370132446), FRAC_CONST(0.863972842693329) },
+ { FRAC_CONST(-0.514102756977081), FRAC_CONST(0.857728600502014) },
+ { FRAC_CONST(-0.524589717388153), FRAC_CONST(0.851355135440826) },
+ { FRAC_CONST(-0.534997701644897), FRAC_CONST(0.844853520393372) },
+ { FRAC_CONST(-0.545325100421906), FRAC_CONST(0.838224649429321) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.565731763839722), FRAC_CONST(0.824589312076569) },
+ { FRAC_CONST(-0.575808167457581), FRAC_CONST(0.817584812641144) },
+ { FRAC_CONST(-0.585797905921936), FRAC_CONST(0.810457170009613) },
+ { FRAC_CONST(-0.595699369907379), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(-0.605511128902435), FRAC_CONST(0.795836865901947) },
+ { FRAC_CONST(-0.615231692790985), FRAC_CONST(0.788346350193024) },
+ { FRAC_CONST(-0.624859631061554), FRAC_CONST(0.780737102031708) },
+ { FRAC_CONST(-0.634393274784088), FRAC_CONST(0.773010492324829) },
+ { FRAC_CONST(-0.643831551074982), FRAC_CONST(0.765167236328125) },
+ { FRAC_CONST(-0.653172850608826), FRAC_CONST(0.757208824157715) },
+ { FRAC_CONST(-0.662415802478790), FRAC_CONST(0.749136328697205) },
+ { FRAC_CONST(-0.671559035778046), FRAC_CONST(0.740951061248779) },
+ { FRAC_CONST(-0.680601119995117), FRAC_CONST(0.732654154300690) },
+ { FRAC_CONST(-0.689540684223175), FRAC_CONST(0.724246978759766) },
+ { FRAC_CONST(-0.698376238346100), FRAC_CONST(0.715730845928192) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.715730845928192), FRAC_CONST(0.698376238346100) },
+ { FRAC_CONST(-0.724247157573700), FRAC_CONST(0.689540505409241) },
+ { FRAC_CONST(-0.732654333114624), FRAC_CONST(0.680600941181183) },
+ { FRAC_CONST(-0.740951240062714), FRAC_CONST(0.671558856964111) },
+ { FRAC_CONST(-0.749136507511139), FRAC_CONST(0.662415623664856) },
+ { FRAC_CONST(-0.757208824157715), FRAC_CONST(0.653172850608826) },
+ { FRAC_CONST(-0.765167295932770), FRAC_CONST(0.643831551074982) },
+ { FRAC_CONST(-0.773010492324829), FRAC_CONST(0.634393274784088) },
+ { FRAC_CONST(-0.780737280845642), FRAC_CONST(0.624859452247620) },
+ { FRAC_CONST(-0.788346469402313), FRAC_CONST(0.615231513977051) },
+ { FRAC_CONST(-0.795836985111237), FRAC_CONST(0.605510950088501) },
+ { FRAC_CONST(-0.803207635879517), FRAC_CONST(0.595699131488800) },
+ { FRAC_CONST(-0.810457170009613), FRAC_CONST(0.585797846317291) },
+ { FRAC_CONST(-0.817584812641144), FRAC_CONST(0.575808167457581) },
+ { FRAC_CONST(-0.824589312076569), FRAC_CONST(0.565731763839722) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.838224768638611), FRAC_CONST(0.545324862003326) },
+ { FRAC_CONST(-0.844853639602661), FRAC_CONST(0.534997463226318) },
+ { FRAC_CONST(-0.851355314254761), FRAC_CONST(0.524589538574219) },
+ { FRAC_CONST(-0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(-0.863972842693329), FRAC_CONST(0.503538370132446) },
+ { FRAC_CONST(-0.870087027549744), FRAC_CONST(0.492898136377335) },
+ { FRAC_CONST(-0.876070141792297), FRAC_CONST(0.482183694839478) },
+ { FRAC_CONST(-0.881921350955963), FRAC_CONST(0.471396625041962) },
+ { FRAC_CONST(-0.887639701366425), FRAC_CONST(0.460538566112518) },
+ { FRAC_CONST(-0.893224298954010), FRAC_CONST(0.449611365795136) },
+ { FRAC_CONST(-0.898674488067627), FRAC_CONST(0.438616245985031) },
+ { FRAC_CONST(-0.903989315032959), FRAC_CONST(0.427555054426193) },
+ { FRAC_CONST(-0.909168004989624), FRAC_CONST(0.416429489850998) },
+ { FRAC_CONST(-0.914209783077240), FRAC_CONST(0.405241221189499) },
+ { FRAC_CONST(-0.919113874435425), FRAC_CONST(0.393991917371750) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.928506076335907), FRAC_CONST(0.371317237615585) },
+ { FRAC_CONST(-0.932992815971375), FRAC_CONST(0.359895050525665) },
+ { FRAC_CONST(-0.937339007854462), FRAC_CONST(0.348418653011322) },
+ { FRAC_CONST(-0.941544115543365), FRAC_CONST(0.336889803409576) },
+ { FRAC_CONST(-0.945607364177704), FRAC_CONST(0.325310200452805) },
+ { FRAC_CONST(-0.949528217315674), FRAC_CONST(0.313681602478027) },
+ { FRAC_CONST(-0.953306078910828), FRAC_CONST(0.302005797624588) },
+ { FRAC_CONST(-0.956940352916718), FRAC_CONST(0.290284723043442) },
+ { FRAC_CONST(-0.960430502891541), FRAC_CONST(0.278519690036774) },
+ { FRAC_CONST(-0.963776051998138), FRAC_CONST(0.266712725162506) },
+ { FRAC_CONST(-0.966976463794708), FRAC_CONST(0.254865586757660) },
+ { FRAC_CONST(-0.970031261444092), FRAC_CONST(0.242980077862740) },
+ { FRAC_CONST(-0.972939968109131), FRAC_CONST(0.231057971715927) },
+ { FRAC_CONST(-0.975702166557312), FRAC_CONST(0.219101071357727) },
+ { FRAC_CONST(-0.978317379951477), FRAC_CONST(0.207111403346062) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.983105480670929), FRAC_CONST(0.183039844036102) },
+ { FRAC_CONST(-0.985277652740479), FRAC_CONST(0.170961812138557) },
+ { FRAC_CONST(-0.987301409244537), FRAC_CONST(0.158858031034470) },
+ { FRAC_CONST(-0.989176511764526), FRAC_CONST(0.146730333566666) },
+ { FRAC_CONST(-0.990902662277222), FRAC_CONST(0.134580522775650) },
+ { FRAC_CONST(-0.992479503154755), FRAC_CONST(0.122410699725151) },
+ { FRAC_CONST(-0.993906974792480), FRAC_CONST(0.110222198069096) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(0.098017096519470) },
+ { FRAC_CONST(-0.996312618255615), FRAC_CONST(0.085797227919102) },
+ { FRAC_CONST(-0.997290492057800), FRAC_CONST(0.073564447462559) },
+ { FRAC_CONST(-0.998118102550507), FRAC_CONST(0.061320584267378) },
+ { FRAC_CONST(-0.998795449733734), FRAC_CONST(0.049067486077547) },
+ { FRAC_CONST(-0.999322354793549), FRAC_CONST(0.036807239055634) },
+ { FRAC_CONST(-0.999698817729950), FRAC_CONST(0.024541210383177) },
+ { FRAC_CONST(-0.999924719333649), FRAC_CONST(0.012271485291421) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.999698817729950), FRAC_CONST(0.024541229009628) },
+ { FRAC_CONST(0.998795449733734), FRAC_CONST(0.049067676067352) },
+ { FRAC_CONST(0.997290432453156), FRAC_CONST(0.073564566671848) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.992479562759399), FRAC_CONST(0.122410677373409) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.985277652740479), FRAC_CONST(0.170961901545525) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.975702106952667), FRAC_CONST(0.219101235270500) },
+ { FRAC_CONST(0.970031261444092), FRAC_CONST(0.242980197072029) },
+ { FRAC_CONST(0.963776051998138), FRAC_CONST(0.266712784767151) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.949528157711029), FRAC_CONST(0.313681751489639) },
+ { FRAC_CONST(0.941544055938721), FRAC_CONST(0.336889863014221) },
+ { FRAC_CONST(0.932992815971375), FRAC_CONST(0.359895050525665) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.914209723472595), FRAC_CONST(0.405241340398788) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.893224298954010), FRAC_CONST(0.449611335992813) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.870086967945099), FRAC_CONST(0.492898225784302) },
+ { FRAC_CONST(0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(0.844853579998016), FRAC_CONST(0.534997642040253) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.817584812641144), FRAC_CONST(0.575808227062225) },
+ { FRAC_CONST(0.803207516670227), FRAC_CONST(0.595699310302734) },
+ { FRAC_CONST(0.788346409797668), FRAC_CONST(0.615231633186340) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.757208824157715), FRAC_CONST(0.653172850608826) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.724247097969055), FRAC_CONST(0.689540565013886) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.689540505409241), FRAC_CONST(0.724247097969055) },
+ { FRAC_CONST(0.671558916568756), FRAC_CONST(0.740951180458069) },
+ { FRAC_CONST(0.653172791004181), FRAC_CONST(0.757208883762360) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.615231573581696), FRAC_CONST(0.788346409797668) },
+ { FRAC_CONST(0.595699310302734), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(0.575808167457581), FRAC_CONST(0.817584812641144) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.534997642040253), FRAC_CONST(0.844853579998016) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.492898195981979), FRAC_CONST(0.870086967945099) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.449611306190491), FRAC_CONST(0.893224298954010) },
+ { FRAC_CONST(0.427555114030838), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(0.405241280794144), FRAC_CONST(0.914209783077240) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.359894961118698), FRAC_CONST(0.932992815971375) },
+ { FRAC_CONST(0.336889833211899), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(0.313681662082672), FRAC_CONST(0.949528217315674) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.266712754964828), FRAC_CONST(0.963776051998138) },
+ { FRAC_CONST(0.242980122566223), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.219101220369339), FRAC_CONST(0.975702106952667) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.170961856842041), FRAC_CONST(0.985277652740479) },
+ { FRAC_CONST(0.146730497479439), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(0.122410625219345), FRAC_CONST(0.992479562759399) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.073564492166042), FRAC_CONST(0.997290432453156) },
+ { FRAC_CONST(0.049067649990320), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(0.024541135877371), FRAC_CONST(0.999698817729950) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.998795449733734), FRAC_CONST(0.049067676067352) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.970031261444092), FRAC_CONST(0.242980197072029) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.941544055938721), FRAC_CONST(0.336889863014221) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.803207516670227), FRAC_CONST(0.595699310302734) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.671558916568756), FRAC_CONST(0.740951180458069) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.595699310302734), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.427555114030838), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.336889833211899), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.242980122566223), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.146730497479439), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.049067649990320), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.049067739397287), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.098017223179340), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(-0.146730571985245), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.242980197072029), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(-0.290284723043442), FRAC_CONST(0.956940293312073) },
+ { FRAC_CONST(-0.336889922618866), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.427555084228516), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.514102756977081), FRAC_CONST(0.857728600502014) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.595699369907379), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(-0.634393274784088), FRAC_CONST(0.773010492324829) },
+ { FRAC_CONST(-0.671559035778046), FRAC_CONST(0.740951061248779) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.740951240062714), FRAC_CONST(0.671558856964111) },
+ { FRAC_CONST(-0.773010492324829), FRAC_CONST(0.634393274784088) },
+ { FRAC_CONST(-0.803207635879517), FRAC_CONST(0.595699131488800) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(-0.881921350955963), FRAC_CONST(0.471396625041962) },
+ { FRAC_CONST(-0.903989315032959), FRAC_CONST(0.427555054426193) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.941544115543365), FRAC_CONST(0.336889803409576) },
+ { FRAC_CONST(-0.956940352916718), FRAC_CONST(0.290284723043442) },
+ { FRAC_CONST(-0.970031261444092), FRAC_CONST(0.242980077862740) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.989176511764526), FRAC_CONST(0.146730333566666) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(0.098017096519470) },
+ { FRAC_CONST(-0.998795449733734), FRAC_CONST(0.049067486077547) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.997290432453156), FRAC_CONST(0.073564566671848) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.975702106952667), FRAC_CONST(0.219101235270500) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.932992815971375), FRAC_CONST(0.359895050525665) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.870086967945099), FRAC_CONST(0.492898225784302) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.788346469402313), FRAC_CONST(0.615231573581696) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.689540505409241), FRAC_CONST(0.724247097969055) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.575808227062225), FRAC_CONST(0.817584812641144) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.449611306190491), FRAC_CONST(0.893224298954010) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.313681751489639), FRAC_CONST(0.949528157711029) },
+ { FRAC_CONST(0.242980241775513), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.170961856842041), FRAC_CONST(0.985277652740479) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.024541255086660), FRAC_CONST(0.999698817729950) },
+ { FRAC_CONST(-0.049067739397287), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.122410707175732), FRAC_CONST(0.992479503154755) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.266712725162506), FRAC_CONST(0.963776051998138) },
+ { FRAC_CONST(-0.336889803409576), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(-0.405241340398788), FRAC_CONST(0.914209723472595) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.534997701644897), FRAC_CONST(0.844853520393372) },
+ { FRAC_CONST(-0.595699369907379), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(-0.653172850608826), FRAC_CONST(0.757208824157715) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.757208824157715), FRAC_CONST(0.653172850608826) },
+ { FRAC_CONST(-0.803207516670227), FRAC_CONST(0.595699369907379) },
+ { FRAC_CONST(-0.844853520393372), FRAC_CONST(0.534997701644897) },
+ { FRAC_CONST(-0.881921231746674), FRAC_CONST(0.471396833658218) },
+ { FRAC_CONST(-0.914209783077240), FRAC_CONST(0.405241221189499) },
+ { FRAC_CONST(-0.941544115543365), FRAC_CONST(0.336889803409576) },
+ { FRAC_CONST(-0.963776051998138), FRAC_CONST(0.266712725162506) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.992479503154755), FRAC_CONST(0.122410699725151) },
+ { FRAC_CONST(-0.998795449733734), FRAC_CONST(0.049067724496126) },
+ { FRAC_CONST(-0.999698817729950), FRAC_CONST(-0.024541147053242) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(-0.098017267882824) },
+ { FRAC_CONST(-0.985277652740479), FRAC_CONST(-0.170961990952492) },
+ { FRAC_CONST(-0.970031261444092), FRAC_CONST(-0.242980241775513) },
+ { FRAC_CONST(-0.949528157711029), FRAC_CONST(-0.313681781291962) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.893224298954010), FRAC_CONST(-0.449611306190491) },
+ { FRAC_CONST(-0.857728660106659), FRAC_CONST(-0.514102697372437) },
+ { FRAC_CONST(-0.817584872245789), FRAC_CONST(-0.575808107852936) },
+ { FRAC_CONST(-0.773010551929474), FRAC_CONST(-0.634393215179443) },
+ { FRAC_CONST(-0.724247038364410), FRAC_CONST(-0.689540624618530) },
+ { FRAC_CONST(-0.671558916568756), FRAC_CONST(-0.740951180458069) },
+ { FRAC_CONST(-0.615231573581696), FRAC_CONST(-0.788346469402313) },
+ { FRAC_CONST(-0.555570006370544), FRAC_CONST(-0.831469774246216) },
+ { FRAC_CONST(-0.492898195981979), FRAC_CONST(-0.870086967945099) },
+ { FRAC_CONST(-0.427554935216904), FRAC_CONST(-0.903989374637604) },
+ { FRAC_CONST(-0.359895110130310), FRAC_CONST(-0.932992756366730) },
+ { FRAC_CONST(-0.290284544229507), FRAC_CONST(-0.956940352916718) },
+ { FRAC_CONST(-0.219101369380951), FRAC_CONST(-0.975702106952667) },
+ { FRAC_CONST(-0.146730408072472), FRAC_CONST(-0.989176511764526) },
+ { FRAC_CONST(-0.073564760386944), FRAC_CONST(-0.997290432453156) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.881921231746674), FRAC_CONST(0.471396833658218) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(-0.098017267882824) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.773010551929474), FRAC_CONST(-0.634393215179443) },
+ { FRAC_CONST(-0.555570006370544), FRAC_CONST(-0.831469774246216) },
+ { FRAC_CONST(-0.290284544229507), FRAC_CONST(-0.956940352916718) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.000000011924881), FRAC_CONST(-1.000000000000000) }
};
-complex_t cfft_tab_480[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const complex_t cfft_tab_480[] =
{
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99991435), COEF_CONST(0.01308960) },
- { COEF_CONST(0.99965733), COEF_CONST(0.02617695) },
- { COEF_CONST(0.99922901), COEF_CONST(0.03925982) },
- { COEF_CONST(0.99862951), COEF_CONST(0.05233596) },
- { COEF_CONST(0.99785894), COEF_CONST(0.06540313) },
- { COEF_CONST(0.99691731), COEF_CONST(0.07845910) },
- { COEF_CONST(0.99580491), COEF_CONST(0.09150162) },
- { COEF_CONST(0.99452192), COEF_CONST(0.10452846) },
- { COEF_CONST(0.99306846), COEF_CONST(0.11753740) },
- { COEF_CONST(0.99144489), COEF_CONST(0.13052620) },
- { COEF_CONST(0.98965138), COEF_CONST(0.14349262) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.98555607), COEF_CONST(0.16934951) },
- { COEF_CONST(0.98325491), COEF_CONST(0.18223552) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.97534233), COEF_CONST(0.22069745) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.96923089), COEF_CONST(0.24615330) },
- { COEF_CONST(0.96592581), COEF_CONST(0.25881904) },
- { COEF_CONST(0.96245521), COEF_CONST(0.27144045) },
- { COEF_CONST(0.95881975), COEF_CONST(0.28401536) },
- { COEF_CONST(0.95501995), COEF_CONST(0.29654160) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.94693011), COEF_CONST(0.32143945) },
- { COEF_CONST(0.94264150), COEF_CONST(0.33380687) },
- { COEF_CONST(0.93819135), COEF_CONST(0.34611708) },
- { COEF_CONST(0.93358040), COEF_CONST(0.35836795) },
- { COEF_CONST(0.92880952), COEF_CONST(0.37055743) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.91879123), COEF_CONST(0.39474389) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.90814316), COEF_CONST(0.41865975) },
- { COEF_CONST(0.90258527), COEF_CONST(0.43051112) },
- { COEF_CONST(0.89687276), COEF_CONST(0.44228873) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.88498765), COEF_CONST(0.46561453) },
- { COEF_CONST(0.87881708), COEF_CONST(0.47715878) },
- { COEF_CONST(0.87249601), COEF_CONST(0.48862126) },
- { COEF_CONST(0.86602539), COEF_CONST(0.50000000) },
- { COEF_CONST(0.85940641), COEF_CONST(0.51129311) },
- { COEF_CONST(0.85264015), COEF_CONST(0.52249855) },
- { COEF_CONST(0.84572780), COEF_CONST(0.53361452) },
- { COEF_CONST(0.83867055), COEF_CONST(0.54463905) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.82412618), COEF_CONST(0.56640625) },
- { COEF_CONST(0.81664157), COEF_CONST(0.57714522) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.80125380), COEF_CONST(0.59832460) },
- { COEF_CONST(0.79335332), COEF_CONST(0.60876143) },
- { COEF_CONST(0.78531694), COEF_CONST(0.61909395) },
- { COEF_CONST(0.77714592), COEF_CONST(0.62932038) },
- { COEF_CONST(0.76884180), COEF_CONST(0.63943899) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.75183982), COEF_CONST(0.65934587) },
- { COEF_CONST(0.74314481), COEF_CONST(0.66913062) },
- { COEF_CONST(0.73432249), COEF_CONST(0.67880076) },
- { COEF_CONST(0.72537434), COEF_CONST(0.68835455) },
- { COEF_CONST(0.71630192), COEF_CONST(0.69779050) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.69779044), COEF_CONST(0.71630198) },
- { COEF_CONST(0.68835455), COEF_CONST(0.72537440) },
- { COEF_CONST(0.67880070), COEF_CONST(0.73432255) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.65934581), COEF_CONST(0.75183982) },
- { COEF_CONST(0.64944804), COEF_CONST(0.76040596) },
- { COEF_CONST(0.63943899), COEF_CONST(0.76884186) },
- { COEF_CONST(0.62932038), COEF_CONST(0.77714598) },
- { COEF_CONST(0.61909395), COEF_CONST(0.78531694) },
- { COEF_CONST(0.60876143), COEF_CONST(0.79335338) },
- { COEF_CONST(0.59832460), COEF_CONST(0.80125386) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.57714516), COEF_CONST(0.81664157) },
- { COEF_CONST(0.56640619), COEF_CONST(0.82412618) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.54463899), COEF_CONST(0.83867061) },
- { COEF_CONST(0.53361452), COEF_CONST(0.84572780) },
- { COEF_CONST(0.52249855), COEF_CONST(0.85264021) },
- { COEF_CONST(0.51129305), COEF_CONST(0.85940641) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.48862121), COEF_CONST(0.87249607) },
- { COEF_CONST(0.47715873), COEF_CONST(0.87881714) },
- { COEF_CONST(0.46561450), COEF_CONST(0.88498765) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.44228867), COEF_CONST(0.89687276) },
- { COEF_CONST(0.43051106), COEF_CONST(0.90258533) },
- { COEF_CONST(0.41865972), COEF_CONST(0.90814316) },
- { COEF_CONST(0.40673661), COEF_CONST(0.91354549) },
- { COEF_CONST(0.39474383), COEF_CONST(0.91879123) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.37055740), COEF_CONST(0.92880958) },
- { COEF_CONST(0.35836792), COEF_CONST(0.93358046) },
- { COEF_CONST(0.34611702), COEF_CONST(0.93819135) },
- { COEF_CONST(0.33380681), COEF_CONST(0.94264150) },
- { COEF_CONST(0.32143945), COEF_CONST(0.94693011) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.29654154), COEF_CONST(0.95501995) },
- { COEF_CONST(0.28401530), COEF_CONST(0.95881975) },
- { COEF_CONST(0.27144042), COEF_CONST(0.96245527) },
- { COEF_CONST(0.25881901), COEF_CONST(0.96592581) },
- { COEF_CONST(0.24615325), COEF_CONST(0.96923089) },
- { COEF_CONST(0.23344533), COEF_CONST(0.97236991) },
- { COEF_CONST(0.22069740), COEF_CONST(0.97534233) },
- { COEF_CONST(0.20791166), COEF_CONST(0.97814763) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.18223549), COEF_CONST(0.98325491) },
- { COEF_CONST(0.16934946), COEF_CONST(0.98555607) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.14349258), COEF_CONST(0.98965138) },
- { COEF_CONST(0.13052616), COEF_CONST(0.99144489) },
- { COEF_CONST(0.11753736), COEF_CONST(0.99306846) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(0.09150158), COEF_CONST(0.99580491) },
- { COEF_CONST(0.07845905), COEF_CONST(0.99691731) },
- { COEF_CONST(0.06540309), COEF_CONST(0.99785894) },
- { COEF_CONST(0.05233591), COEF_CONST(0.99862951) },
- { COEF_CONST(0.03925977), COEF_CONST(0.99922901) },
- { COEF_CONST(0.02617691), COEF_CONST(0.99965733) },
- { COEF_CONST(0.01308955), COEF_CONST(0.99991435) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.01308964), COEF_CONST(0.99991435) },
- { COEF_CONST(-0.02617699), COEF_CONST(0.99965733) },
- { COEF_CONST(-0.03925986), COEF_CONST(0.99922901) },
- { COEF_CONST(-0.05233600), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.06540318), COEF_CONST(0.99785894) },
- { COEF_CONST(-0.07845914), COEF_CONST(0.99691731) },
- { COEF_CONST(-0.09150167), COEF_CONST(0.99580491) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.11753745), COEF_CONST(0.99306846) },
- { COEF_CONST(-0.13052624), COEF_CONST(0.99144489) },
- { COEF_CONST(-0.14349267), COEF_CONST(0.98965138) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.16934955), COEF_CONST(0.98555607) },
- { COEF_CONST(-0.18223557), COEF_CONST(0.98325491) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.20791174), COEF_CONST(0.97814757) },
- { COEF_CONST(-0.22069748), COEF_CONST(0.97534227) },
- { COEF_CONST(-0.23344541), COEF_CONST(0.97236991) },
- { COEF_CONST(-0.24615334), COEF_CONST(0.96923089) },
- { COEF_CONST(-0.25881910), COEF_CONST(0.96592581) },
- { COEF_CONST(-0.27144051), COEF_CONST(0.96245521) },
- { COEF_CONST(-0.28401539), COEF_CONST(0.95881969) },
- { COEF_CONST(-0.29654163), COEF_CONST(0.95501995) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.32143950), COEF_CONST(0.94693011) },
- { COEF_CONST(-0.33380690), COEF_CONST(0.94264150) },
- { COEF_CONST(-0.34611711), COEF_CONST(0.93819129) },
- { COEF_CONST(-0.35836801), COEF_CONST(0.93358046) },
- { COEF_CONST(-0.37055749), COEF_CONST(0.92880952) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.39474392), COEF_CONST(0.91879123) },
- { COEF_CONST(-0.40673670), COEF_CONST(0.91354543) },
- { COEF_CONST(-0.41865978), COEF_CONST(0.90814310) },
- { COEF_CONST(-0.43051115), COEF_CONST(0.90258527) },
- { COEF_CONST(-0.44228873), COEF_CONST(0.89687276) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.46561456), COEF_CONST(0.88498759) },
- { COEF_CONST(-0.47715881), COEF_CONST(0.87881714) },
- { COEF_CONST(-0.48862129), COEF_CONST(0.87249595) },
- { COEF_CONST(-0.50000006), COEF_CONST(0.86602539) },
- { COEF_CONST(-0.51129311), COEF_CONST(0.85940641) },
- { COEF_CONST(-0.52249861), COEF_CONST(0.85264009) },
- { COEF_CONST(-0.53361458), COEF_CONST(0.84572780) },
- { COEF_CONST(-0.54463911), COEF_CONST(0.83867055) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.56640631), COEF_CONST(0.82412612) },
- { COEF_CONST(-0.57714522), COEF_CONST(0.81664157) },
- { COEF_CONST(-0.58778530), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.59832466), COEF_CONST(0.80125374) },
- { COEF_CONST(-0.60876149), COEF_CONST(0.79335332) },
- { COEF_CONST(-0.61909401), COEF_CONST(0.78531694) },
- { COEF_CONST(-0.62932044), COEF_CONST(0.77714586) },
- { COEF_CONST(-0.63943905), COEF_CONST(0.76884180) },
- { COEF_CONST(-0.64944810), COEF_CONST(0.76040596) },
- { COEF_CONST(-0.65934587), COEF_CONST(0.75183970) },
- { COEF_CONST(-0.66913068), COEF_CONST(0.74314481) },
- { COEF_CONST(-0.67880082), COEF_CONST(0.73432249) },
- { COEF_CONST(-0.68835461), COEF_CONST(0.72537428) },
- { COEF_CONST(-0.69779050), COEF_CONST(0.71630186) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.71630198), COEF_CONST(0.69779032) },
- { COEF_CONST(-0.72537440), COEF_CONST(0.68835449) },
- { COEF_CONST(-0.73432255), COEF_CONST(0.67880070) },
- { COEF_CONST(-0.74314487), COEF_CONST(0.66913044) },
- { COEF_CONST(-0.75183988), COEF_CONST(0.65934575) },
- { COEF_CONST(-0.76040602), COEF_CONST(0.64944804) },
- { COEF_CONST(-0.76884186), COEF_CONST(0.63943905) },
- { COEF_CONST(-0.77714598), COEF_CONST(0.62932026) },
- { COEF_CONST(-0.78531694), COEF_CONST(0.61909389) },
- { COEF_CONST(-0.79335338), COEF_CONST(0.60876143) },
- { COEF_CONST(-0.80125386), COEF_CONST(0.59832448) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(-0.81664157), COEF_CONST(0.57714522) },
- { COEF_CONST(-0.82412624), COEF_CONST(0.56640613) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.83867061), COEF_CONST(0.54463905) },
- { COEF_CONST(-0.84572786), COEF_CONST(0.53361434) },
- { COEF_CONST(-0.85264021), COEF_CONST(0.52249849) },
- { COEF_CONST(-0.85940647), COEF_CONST(0.51129305) },
- { COEF_CONST(-0.86602545), COEF_CONST(0.50000006) },
- { COEF_CONST(-0.87249607), COEF_CONST(0.48862115) },
- { COEF_CONST(-0.87881714), COEF_CONST(0.47715873) },
- { COEF_CONST(-0.88498765), COEF_CONST(0.46561456) },
- { COEF_CONST(-0.89100653), COEF_CONST(0.45399037) },
- { COEF_CONST(-0.89687276), COEF_CONST(0.44228864) },
- { COEF_CONST(-0.90258533), COEF_CONST(0.43051112) },
- { COEF_CONST(-0.90814322), COEF_CONST(0.41865960) },
- { COEF_CONST(-0.91354549), COEF_CONST(0.40673658) },
- { COEF_CONST(-0.91879123), COEF_CONST(0.39474386) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.92880958), COEF_CONST(0.37055734) },
- { COEF_CONST(-0.93358046), COEF_CONST(0.35836792) },
- { COEF_CONST(-0.93819135), COEF_CONST(0.34611690) },
- { COEF_CONST(-0.94264150), COEF_CONST(0.33380675) },
- { COEF_CONST(-0.94693017), COEF_CONST(0.32143945) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.95501995), COEF_CONST(0.29654145) },
- { COEF_CONST(-0.95881975), COEF_CONST(0.28401530) },
- { COEF_CONST(-0.96245527), COEF_CONST(0.27144048) },
- { COEF_CONST(-0.96592587), COEF_CONST(0.25881892) },
- { COEF_CONST(-0.96923095), COEF_CONST(0.24615324) },
- { COEF_CONST(-0.97236997), COEF_CONST(0.23344538) },
- { COEF_CONST(-0.97534233), COEF_CONST(0.22069728) },
- { COEF_CONST(-0.97814763), COEF_CONST(0.20791161) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.98325491), COEF_CONST(0.18223536) },
- { COEF_CONST(-0.98555607), COEF_CONST(0.16934940) },
- { COEF_CONST(-0.98768836), COEF_CONST(0.15643445) },
- { COEF_CONST(-0.98965138), COEF_CONST(0.14349243) },
- { COEF_CONST(-0.99144489), COEF_CONST(0.13052608) },
- { COEF_CONST(-0.99306846), COEF_CONST(0.11753736) },
- { COEF_CONST(-0.99452192), COEF_CONST(0.10452849) },
- { COEF_CONST(-0.99580491), COEF_CONST(0.09150149) },
- { COEF_CONST(-0.99691737), COEF_CONST(0.07845904) },
- { COEF_CONST(-0.99785894), COEF_CONST(0.06540315) },
- { COEF_CONST(-0.99862951), COEF_CONST(0.05233581) },
- { COEF_CONST(-0.99922901), COEF_CONST(0.03925974) },
- { COEF_CONST(-0.99965733), COEF_CONST(0.02617695) },
- { COEF_CONST(-0.99991435), COEF_CONST(0.01308943) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99965733), COEF_CONST(0.02617695) },
- { COEF_CONST(0.99862951), COEF_CONST(0.05233596) },
- { COEF_CONST(0.99691731), COEF_CONST(0.07845910) },
- { COEF_CONST(0.99452192), COEF_CONST(0.10452846) },
- { COEF_CONST(0.99144489), COEF_CONST(0.13052620) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.98325491), COEF_CONST(0.18223552) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.96592581), COEF_CONST(0.25881904) },
- { COEF_CONST(0.95881975), COEF_CONST(0.28401536) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.94264150), COEF_CONST(0.33380687) },
- { COEF_CONST(0.93358040), COEF_CONST(0.35836795) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.90258527), COEF_CONST(0.43051112) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.87881708), COEF_CONST(0.47715878) },
- { COEF_CONST(0.86602539), COEF_CONST(0.50000000) },
- { COEF_CONST(0.85264015), COEF_CONST(0.52249855) },
- { COEF_CONST(0.83867055), COEF_CONST(0.54463905) },
- { COEF_CONST(0.82412618), COEF_CONST(0.56640625) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.79335332), COEF_CONST(0.60876143) },
- { COEF_CONST(0.77714592), COEF_CONST(0.62932038) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.74314481), COEF_CONST(0.66913062) },
- { COEF_CONST(0.72537434), COEF_CONST(0.68835455) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.68835455), COEF_CONST(0.72537440) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.64944804), COEF_CONST(0.76040596) },
- { COEF_CONST(0.62932038), COEF_CONST(0.77714598) },
- { COEF_CONST(0.60876143), COEF_CONST(0.79335338) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.56640619), COEF_CONST(0.82412618) },
- { COEF_CONST(0.54463899), COEF_CONST(0.83867061) },
- { COEF_CONST(0.52249855), COEF_CONST(0.85264021) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.47715873), COEF_CONST(0.87881714) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.43051106), COEF_CONST(0.90258533) },
- { COEF_CONST(0.40673661), COEF_CONST(0.91354549) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.35836792), COEF_CONST(0.93358046) },
- { COEF_CONST(0.33380681), COEF_CONST(0.94264150) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.28401530), COEF_CONST(0.95881975) },
- { COEF_CONST(0.25881901), COEF_CONST(0.96592581) },
- { COEF_CONST(0.23344533), COEF_CONST(0.97236991) },
- { COEF_CONST(0.20791166), COEF_CONST(0.97814763) },
- { COEF_CONST(0.18223549), COEF_CONST(0.98325491) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.13052616), COEF_CONST(0.99144489) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(0.07845905), COEF_CONST(0.99691731) },
- { COEF_CONST(0.05233591), COEF_CONST(0.99862951) },
- { COEF_CONST(0.02617691), COEF_CONST(0.99965733) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.02617699), COEF_CONST(0.99965733) },
- { COEF_CONST(-0.05233600), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.07845914), COEF_CONST(0.99691731) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.13052624), COEF_CONST(0.99144489) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.18223557), COEF_CONST(0.98325491) },
- { COEF_CONST(-0.20791174), COEF_CONST(0.97814757) },
- { COEF_CONST(-0.23344541), COEF_CONST(0.97236991) },
- { COEF_CONST(-0.25881910), COEF_CONST(0.96592581) },
- { COEF_CONST(-0.28401539), COEF_CONST(0.95881969) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.33380690), COEF_CONST(0.94264150) },
- { COEF_CONST(-0.35836801), COEF_CONST(0.93358046) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.40673670), COEF_CONST(0.91354543) },
- { COEF_CONST(-0.43051115), COEF_CONST(0.90258527) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.47715881), COEF_CONST(0.87881714) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99862951), COEF_CONST(0.05233596) },
- { COEF_CONST(0.99452192), COEF_CONST(0.10452846) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.96592581), COEF_CONST(0.25881904) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.93358040), COEF_CONST(0.35836795) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.86602539), COEF_CONST(0.50000000) },
- { COEF_CONST(0.83867055), COEF_CONST(0.54463905) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.77714592), COEF_CONST(0.62932038) },
- { COEF_CONST(0.74314481), COEF_CONST(0.66913062) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.62932038), COEF_CONST(0.77714598) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.54463899), COEF_CONST(0.83867061) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.40673661), COEF_CONST(0.91354549) },
- { COEF_CONST(0.35836792), COEF_CONST(0.93358046) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.25881901), COEF_CONST(0.96592581) },
- { COEF_CONST(0.20791166), COEF_CONST(0.97814763) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(0.05233591), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.05233600), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.20791174), COEF_CONST(0.97814757) },
- { COEF_CONST(-0.25881910), COEF_CONST(0.96592581) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.35836801), COEF_CONST(0.93358046) },
- { COEF_CONST(-0.40673670), COEF_CONST(0.91354543) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.50000006), COEF_CONST(0.86602539) },
- { COEF_CONST(-0.54463911), COEF_CONST(0.83867055) },
- { COEF_CONST(-0.58778530), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.62932044), COEF_CONST(0.77714586) },
- { COEF_CONST(-0.66913068), COEF_CONST(0.74314481) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.74314487), COEF_CONST(0.66913044) },
- { COEF_CONST(-0.77714598), COEF_CONST(0.62932026) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(-0.83867061), COEF_CONST(0.54463905) },
- { COEF_CONST(-0.86602545), COEF_CONST(0.50000006) },
- { COEF_CONST(-0.89100653), COEF_CONST(0.45399037) },
- { COEF_CONST(-0.91354549), COEF_CONST(0.40673658) },
- { COEF_CONST(-0.93358046), COEF_CONST(0.35836792) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.96592587), COEF_CONST(0.25881892) },
- { COEF_CONST(-0.97814763), COEF_CONST(0.20791161) },
- { COEF_CONST(-0.98768836), COEF_CONST(0.15643445) },
- { COEF_CONST(-0.99452192), COEF_CONST(0.10452849) },
- { COEF_CONST(-0.99862951), COEF_CONST(0.05233581) },
- { COEF_CONST(-1.00000000), COEF_CONST(-0.00000009) },
- { COEF_CONST(-0.99862951), COEF_CONST(-0.05233599) },
- { COEF_CONST(-0.99452186), COEF_CONST(-0.10452867) },
- { COEF_CONST(-0.98768830), COEF_CONST(-0.15643461) },
- { COEF_CONST(-0.97814757), COEF_CONST(-0.20791179) },
- { COEF_CONST(-0.96592581), COEF_CONST(-0.25881907) },
- { COEF_CONST(-0.95105648), COEF_CONST(-0.30901697) },
- { COEF_CONST(-0.93358040), COEF_CONST(-0.35836810) },
- { COEF_CONST(-0.91354543), COEF_CONST(-0.40673673) },
- { COEF_CONST(-0.89100647), COEF_CONST(-0.45399055) },
- { COEF_CONST(-0.86602533), COEF_CONST(-0.50000018) },
- { COEF_CONST(-0.83867049), COEF_CONST(-0.54463917) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(-0.77714592), COEF_CONST(-0.62932044) },
- { COEF_CONST(-0.74314475), COEF_CONST(-0.66913062) },
- { COEF_CONST(-0.70710671), COEF_CONST(-0.70710689) },
- { COEF_CONST(-0.66913050), COEF_CONST(-0.74314487) },
- { COEF_CONST(-0.62932032), COEF_CONST(-0.77714598) },
- { COEF_CONST(-0.58778518), COEF_CONST(-0.80901712) },
- { COEF_CONST(-0.54463893), COEF_CONST(-0.83867055) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99691731), COEF_CONST(0.07845910) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.85264015), COEF_CONST(0.52249855) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.64944804), COEF_CONST(0.76040596) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.52249855), COEF_CONST(0.85264021) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.23344533), COEF_CONST(0.97236991) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.07845905), COEF_CONST(0.99691731) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.58778530), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(-0.89100653), COEF_CONST(0.45399037) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.98768836), COEF_CONST(0.15643445) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.07845914), COEF_CONST(0.99691731) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.52249861), COEF_CONST(0.85264009) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.85264021), COEF_CONST(0.52249849) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.99691737), COEF_CONST(0.07845904) },
- { COEF_CONST(-0.98768830), COEF_CONST(-0.15643461) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(-0.64944798), COEF_CONST(-0.76040608) },
- { COEF_CONST(-0.45399040), COEF_CONST(-0.89100665) },
- { COEF_CONST(-0.23344524), COEF_CONST(-0.97236991) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.30901712), COEF_CONST(-0.95105648) }
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.999914348125458), FRAC_CONST(0.013089596293867) },
+ { FRAC_CONST(0.999657332897186), FRAC_CONST(0.026176949962974) },
+ { FRAC_CONST(0.999229013919830), FRAC_CONST(0.039259817451239) },
+ { FRAC_CONST(0.998629510402679), FRAC_CONST(0.052335958927870) },
+ { FRAC_CONST(0.997858941555023), FRAC_CONST(0.065403133630753) },
+ { FRAC_CONST(0.996917307376862), FRAC_CONST(0.078459098935127) },
+ { FRAC_CONST(0.995804905891418), FRAC_CONST(0.091501623392105) },
+ { FRAC_CONST(0.994521915912628), FRAC_CONST(0.104528464376926) },
+ { FRAC_CONST(0.993068456649780), FRAC_CONST(0.117537401616573) },
+ { FRAC_CONST(0.991444885730743), FRAC_CONST(0.130526199936867) },
+ { FRAC_CONST(0.989651381969452), FRAC_CONST(0.143492624163628) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.985556066036224), FRAC_CONST(0.169349506497383) },
+ { FRAC_CONST(0.983254909515381), FRAC_CONST(0.182235524058342) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.975342333316803), FRAC_CONST(0.220697447657585) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.969230890274048), FRAC_CONST(0.246153295040131) },
+ { FRAC_CONST(0.965925812721252), FRAC_CONST(0.258819043636322) },
+ { FRAC_CONST(0.962455213069916), FRAC_CONST(0.271440446376801) },
+ { FRAC_CONST(0.958819746971130), FRAC_CONST(0.284015357494354) },
+ { FRAC_CONST(0.955019950866699), FRAC_CONST(0.296541601419449) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.946930110454559), FRAC_CONST(0.321439445018768) },
+ { FRAC_CONST(0.942641496658325), FRAC_CONST(0.333806872367859) },
+ { FRAC_CONST(0.938191354274750), FRAC_CONST(0.346117079257965) },
+ { FRAC_CONST(0.933580398559570), FRAC_CONST(0.358367949724197) },
+ { FRAC_CONST(0.928809583187103), FRAC_CONST(0.370557427406311) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.918791174888611), FRAC_CONST(0.394743889570236) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.908143162727356), FRAC_CONST(0.418659746646881) },
+ { FRAC_CONST(0.902585268020630), FRAC_CONST(0.430511116981506) },
+ { FRAC_CONST(0.896872758865356), FRAC_CONST(0.442288726568222) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.884987652301788), FRAC_CONST(0.465614527463913) },
+ { FRAC_CONST(0.878817081451416), FRAC_CONST(0.477158784866333) },
+ { FRAC_CONST(0.872496008872986), FRAC_CONST(0.488621264696121) },
+ { FRAC_CONST(0.866025388240814), FRAC_CONST(0.500000000000000) },
+ { FRAC_CONST(0.859406411647797), FRAC_CONST(0.511293113231659) },
+ { FRAC_CONST(0.852640151977539), FRAC_CONST(0.522498548030853) },
+ { FRAC_CONST(0.845727801322937), FRAC_CONST(0.533614516258240) },
+ { FRAC_CONST(0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.824126183986664), FRAC_CONST(0.566406250000000) },
+ { FRAC_CONST(0.816641509532928), FRAC_CONST(0.577145218849182) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.801253795623779), FRAC_CONST(0.598324596881866) },
+ { FRAC_CONST(0.793353319168091), FRAC_CONST(0.608761429786682) },
+ { FRAC_CONST(0.785316884517670), FRAC_CONST(0.619093954563141) },
+ { FRAC_CONST(0.777145922183990), FRAC_CONST(0.629320383071899) },
+ { FRAC_CONST(0.768841803073883), FRAC_CONST(0.639438986778259) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.751839756965637), FRAC_CONST(0.659345865249634) },
+ { FRAC_CONST(0.743144810199738), FRAC_CONST(0.669130623340607) },
+ { FRAC_CONST(0.734322488307953), FRAC_CONST(0.678800761699677) },
+ { FRAC_CONST(0.725374400615692), FRAC_CONST(0.688354551792145) },
+ { FRAC_CONST(0.716301918029785), FRAC_CONST(0.697790503501892) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.697790443897247), FRAC_CONST(0.716301977634430) },
+ { FRAC_CONST(0.688354551792145), FRAC_CONST(0.725374400615692) },
+ { FRAC_CONST(0.678800702095032), FRAC_CONST(0.734322547912598) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.659345805644989), FRAC_CONST(0.751839816570282) },
+ { FRAC_CONST(0.649448037147522), FRAC_CONST(0.760405957698822) },
+ { FRAC_CONST(0.639438986778259), FRAC_CONST(0.768841862678528) },
+ { FRAC_CONST(0.629320383071899), FRAC_CONST(0.777145981788635) },
+ { FRAC_CONST(0.619093954563141), FRAC_CONST(0.785316944122314) },
+ { FRAC_CONST(0.608761370182037), FRAC_CONST(0.793353378772736) },
+ { FRAC_CONST(0.598324596881866), FRAC_CONST(0.801253855228424) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.577145159244537), FRAC_CONST(0.816641569137573) },
+ { FRAC_CONST(0.566406250000000), FRAC_CONST(0.824126183986664) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.544638991355896), FRAC_CONST(0.838670611381531) },
+ { FRAC_CONST(0.533614516258240), FRAC_CONST(0.845727801322937) },
+ { FRAC_CONST(0.522498488426209), FRAC_CONST(0.852640211582184) },
+ { FRAC_CONST(0.511293113231659), FRAC_CONST(0.859406411647797) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.488621175289154), FRAC_CONST(0.872496068477631) },
+ { FRAC_CONST(0.477158755064011), FRAC_CONST(0.878817141056061) },
+ { FRAC_CONST(0.465614467859268), FRAC_CONST(0.884987652301788) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.442288666963577), FRAC_CONST(0.896872758865356) },
+ { FRAC_CONST(0.430511027574539), FRAC_CONST(0.902585327625275) },
+ { FRAC_CONST(0.418659746646881), FRAC_CONST(0.908143162727356) },
+ { FRAC_CONST(0.406736612319946), FRAC_CONST(0.913545489311218) },
+ { FRAC_CONST(0.394743800163269), FRAC_CONST(0.918791234493256) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.370557397603989), FRAC_CONST(0.928809583187103) },
+ { FRAC_CONST(0.358367860317230), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(0.346117049455643), FRAC_CONST(0.938191354274750) },
+ { FRAC_CONST(0.333806812763214), FRAC_CONST(0.942641496658325) },
+ { FRAC_CONST(0.321439474821091), FRAC_CONST(0.946930110454559) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.296541512012482), FRAC_CONST(0.955019950866699) },
+ { FRAC_CONST(0.284015327692032), FRAC_CONST(0.958819746971130) },
+ { FRAC_CONST(0.271440386772156), FRAC_CONST(0.962455272674561) },
+ { FRAC_CONST(0.258819073438644), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(0.246153265237808), FRAC_CONST(0.969230890274048) },
+ { FRAC_CONST(0.233445301651955), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(0.220697447657585), FRAC_CONST(0.975342333316803) },
+ { FRAC_CONST(0.207911655306816), FRAC_CONST(0.978147625923157) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.182235524058342), FRAC_CONST(0.983254909515381) },
+ { FRAC_CONST(0.169349446892738), FRAC_CONST(0.985556066036224) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.143492594361305), FRAC_CONST(0.989651381969452) },
+ { FRAC_CONST(0.130526125431061), FRAC_CONST(0.991444885730743) },
+ { FRAC_CONST(0.117537401616573), FRAC_CONST(0.993068456649780) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(0.091501533985138), FRAC_CONST(0.995804905891418) },
+ { FRAC_CONST(0.078459084033966), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(0.065403074026108), FRAC_CONST(0.997858941555023) },
+ { FRAC_CONST(0.052335973829031), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(0.039259787648916), FRAC_CONST(0.999229013919830) },
+ { FRAC_CONST(0.026176875457168), FRAC_CONST(0.999657332897186) },
+ { FRAC_CONST(0.013089597225189), FRAC_CONST(0.999914348125458) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.013089684769511), FRAC_CONST(0.999914348125458) },
+ { FRAC_CONST(-0.026176963001490), FRAC_CONST(0.999657332897186) },
+ { FRAC_CONST(-0.039259877055883), FRAC_CONST(0.999229013919830) },
+ { FRAC_CONST(-0.052336059510708), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.065403163433075), FRAC_CONST(0.997858941555023) },
+ { FRAC_CONST(-0.078459173440933), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(-0.091501623392105), FRAC_CONST(0.995804905891418) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.117537491023541), FRAC_CONST(0.993068456649780) },
+ { FRAC_CONST(-0.130526214838028), FRAC_CONST(0.991444885730743) },
+ { FRAC_CONST(-0.143492683768272), FRAC_CONST(0.989651381969452) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.169349536299706), FRAC_CONST(0.985556066036224) },
+ { FRAC_CONST(-0.182235598564148), FRAC_CONST(0.983254909515381) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.207911744713783), FRAC_CONST(0.978147566318512) },
+ { FRAC_CONST(-0.220697522163391), FRAC_CONST(0.975342273712158) },
+ { FRAC_CONST(-0.233445391058922), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(-0.246153354644775), FRAC_CONST(0.969230890274048) },
+ { FRAC_CONST(-0.258819162845612), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(-0.271440476179123), FRAC_CONST(0.962455213069916) },
+ { FRAC_CONST(-0.284015417098999), FRAC_CONST(0.958819687366486) },
+ { FRAC_CONST(-0.296541571617126), FRAC_CONST(0.955019950866699) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.321439564228058), FRAC_CONST(0.946930110454559) },
+ { FRAC_CONST(-0.333806872367859), FRAC_CONST(0.942641496658325) },
+ { FRAC_CONST(-0.346117109060287), FRAC_CONST(0.938191294670105) },
+ { FRAC_CONST(-0.358367949724197), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(-0.370557487010956), FRAC_CONST(0.928809523582459) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.394743859767914), FRAC_CONST(0.918791234493256) },
+ { FRAC_CONST(-0.406736701726913), FRAC_CONST(0.913545429706573) },
+ { FRAC_CONST(-0.418659836053848), FRAC_CONST(0.908143103122711) },
+ { FRAC_CONST(-0.430511116981506), FRAC_CONST(0.902585268020630) },
+ { FRAC_CONST(-0.442288637161255), FRAC_CONST(0.896872758865356) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.465614557266235), FRAC_CONST(0.884987592697144) },
+ { FRAC_CONST(-0.477158725261688), FRAC_CONST(0.878817141056061) },
+ { FRAC_CONST(-0.488621354103088), FRAC_CONST(0.872495949268341) },
+ { FRAC_CONST(-0.500000059604645), FRAC_CONST(0.866025388240814) },
+ { FRAC_CONST(-0.511293053627014), FRAC_CONST(0.859406411647797) },
+ { FRAC_CONST(-0.522498667240143), FRAC_CONST(0.852640092372894) },
+ { FRAC_CONST(-0.533614575862885), FRAC_CONST(0.845727801322937) },
+ { FRAC_CONST(-0.544639050960541), FRAC_CONST(0.838670551776886) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.566406309604645), FRAC_CONST(0.824126124382019) },
+ { FRAC_CONST(-0.577145218849182), FRAC_CONST(0.816641569137573) },
+ { FRAC_CONST(-0.587785184383392), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.598324656486511), FRAC_CONST(0.801253736019135) },
+ { FRAC_CONST(-0.608761429786682), FRAC_CONST(0.793353319168091) },
+ { FRAC_CONST(-0.619093894958496), FRAC_CONST(0.785316944122314) },
+ { FRAC_CONST(-0.629320502281189), FRAC_CONST(0.777145862579346) },
+ { FRAC_CONST(-0.639439046382904), FRAC_CONST(0.768841803073883) },
+ { FRAC_CONST(-0.649448037147522), FRAC_CONST(0.760405957698822) },
+ { FRAC_CONST(-0.659345924854279), FRAC_CONST(0.751839697360992) },
+ { FRAC_CONST(-0.669130682945251), FRAC_CONST(0.743144810199738) },
+ { FRAC_CONST(-0.678800761699677), FRAC_CONST(0.734322488307953) },
+ { FRAC_CONST(-0.688354671001434), FRAC_CONST(0.725374281406403) },
+ { FRAC_CONST(-0.697790503501892), FRAC_CONST(0.716301858425140) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.716302037239075), FRAC_CONST(0.697790324687958) },
+ { FRAC_CONST(-0.725374460220337), FRAC_CONST(0.688354492187500) },
+ { FRAC_CONST(-0.734322547912598), FRAC_CONST(0.678800702095032) },
+ { FRAC_CONST(-0.743144929409027), FRAC_CONST(0.669130444526672) },
+ { FRAC_CONST(-0.751839876174927), FRAC_CONST(0.659345746040344) },
+ { FRAC_CONST(-0.760406017303467), FRAC_CONST(0.649448037147522) },
+ { FRAC_CONST(-0.768841803073883), FRAC_CONST(0.639439046382904) },
+ { FRAC_CONST(-0.777146041393280), FRAC_CONST(0.629320263862610) },
+ { FRAC_CONST(-0.785316944122314), FRAC_CONST(0.619093894958496) },
+ { FRAC_CONST(-0.793353319168091), FRAC_CONST(0.608761429786682) },
+ { FRAC_CONST(-0.801253914833069), FRAC_CONST(0.598324477672577) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(-0.816641569137573), FRAC_CONST(0.577145218849182) },
+ { FRAC_CONST(-0.824126303195953), FRAC_CONST(0.566406130790710) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(-0.845727920532227), FRAC_CONST(0.533614337444305) },
+ { FRAC_CONST(-0.852640211582184), FRAC_CONST(0.522498488426209) },
+ { FRAC_CONST(-0.859406411647797), FRAC_CONST(0.511293053627014) },
+ { FRAC_CONST(-0.866025388240814), FRAC_CONST(0.500000059604645) },
+ { FRAC_CONST(-0.872496068477631), FRAC_CONST(0.488621145486832) },
+ { FRAC_CONST(-0.878817141056061), FRAC_CONST(0.477158725261688) },
+ { FRAC_CONST(-0.884987652301788), FRAC_CONST(0.465614557266235) },
+ { FRAC_CONST(-0.891006588935852), FRAC_CONST(0.453990370035172) },
+ { FRAC_CONST(-0.896872758865356), FRAC_CONST(0.442288637161255) },
+ { FRAC_CONST(-0.902585268020630), FRAC_CONST(0.430511116981506) },
+ { FRAC_CONST(-0.908143222332001), FRAC_CONST(0.418659597635269) },
+ { FRAC_CONST(-0.913545489311218), FRAC_CONST(0.406736582517624) },
+ { FRAC_CONST(-0.918791234493256), FRAC_CONST(0.394743859767914) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.928809583187103), FRAC_CONST(0.370557337999344) },
+ { FRAC_CONST(-0.933580458164215), FRAC_CONST(0.358367919921875) },
+ { FRAC_CONST(-0.938191413879395), FRAC_CONST(0.346116900444031) },
+ { FRAC_CONST(-0.942641556262970), FRAC_CONST(0.333806753158569) },
+ { FRAC_CONST(-0.946930170059204), FRAC_CONST(0.321439445018768) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.955020010471344), FRAC_CONST(0.296541452407837) },
+ { FRAC_CONST(-0.958819746971130), FRAC_CONST(0.284015297889709) },
+ { FRAC_CONST(-0.962455213069916), FRAC_CONST(0.271440476179123) },
+ { FRAC_CONST(-0.965925872325897), FRAC_CONST(0.258818924427032) },
+ { FRAC_CONST(-0.969230949878693), FRAC_CONST(0.246153235435486) },
+ { FRAC_CONST(-0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(-0.975342333316803), FRAC_CONST(0.220697283744812) },
+ { FRAC_CONST(-0.978147625923157), FRAC_CONST(0.207911610603333) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.983254909515381), FRAC_CONST(0.182235360145569) },
+ { FRAC_CONST(-0.985556066036224), FRAC_CONST(0.169349402189255) },
+ { FRAC_CONST(-0.987688362598419), FRAC_CONST(0.156434446573257) },
+ { FRAC_CONST(-0.989651441574097), FRAC_CONST(0.143492430448532) },
+ { FRAC_CONST(-0.991444885730743), FRAC_CONST(0.130526080727577) },
+ { FRAC_CONST(-0.993068456649780), FRAC_CONST(0.117537356913090) },
+ { FRAC_CONST(-0.994521915912628), FRAC_CONST(0.104528494179249) },
+ { FRAC_CONST(-0.995804965496063), FRAC_CONST(0.091501489281654) },
+ { FRAC_CONST(-0.996917366981506), FRAC_CONST(0.078459039330482) },
+ { FRAC_CONST(-0.997858941555023), FRAC_CONST(0.065403148531914) },
+ { FRAC_CONST(-0.998629570007324), FRAC_CONST(0.052335809916258) },
+ { FRAC_CONST(-0.999229013919830), FRAC_CONST(0.039259742945433) },
+ { FRAC_CONST(-0.999657332897186), FRAC_CONST(0.026176951825619) },
+ { FRAC_CONST(-0.999914348125458), FRAC_CONST(0.013089434243739) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.999657332897186), FRAC_CONST(0.026176949962974) },
+ { FRAC_CONST(0.998629510402679), FRAC_CONST(0.052335958927870) },
+ { FRAC_CONST(0.996917307376862), FRAC_CONST(0.078459098935127) },
+ { FRAC_CONST(0.994521915912628), FRAC_CONST(0.104528464376926) },
+ { FRAC_CONST(0.991444885730743), FRAC_CONST(0.130526199936867) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.983254909515381), FRAC_CONST(0.182235524058342) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.965925812721252), FRAC_CONST(0.258819043636322) },
+ { FRAC_CONST(0.958819746971130), FRAC_CONST(0.284015357494354) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.942641496658325), FRAC_CONST(0.333806872367859) },
+ { FRAC_CONST(0.933580398559570), FRAC_CONST(0.358367949724197) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.902585268020630), FRAC_CONST(0.430511116981506) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.878817081451416), FRAC_CONST(0.477158784866333) },
+ { FRAC_CONST(0.866025388240814), FRAC_CONST(0.500000000000000) },
+ { FRAC_CONST(0.852640151977539), FRAC_CONST(0.522498548030853) },
+ { FRAC_CONST(0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(0.824126183986664), FRAC_CONST(0.566406250000000) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.793353319168091), FRAC_CONST(0.608761429786682) },
+ { FRAC_CONST(0.777145922183990), FRAC_CONST(0.629320383071899) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.743144810199738), FRAC_CONST(0.669130623340607) },
+ { FRAC_CONST(0.725374400615692), FRAC_CONST(0.688354551792145) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.688354551792145), FRAC_CONST(0.725374400615692) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.649448037147522), FRAC_CONST(0.760405957698822) },
+ { FRAC_CONST(0.629320383071899), FRAC_CONST(0.777145981788635) },
+ { FRAC_CONST(0.608761370182037), FRAC_CONST(0.793353378772736) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.566406250000000), FRAC_CONST(0.824126183986664) },
+ { FRAC_CONST(0.544638991355896), FRAC_CONST(0.838670611381531) },
+ { FRAC_CONST(0.522498488426209), FRAC_CONST(0.852640211582184) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.477158755064011), FRAC_CONST(0.878817141056061) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.430511027574539), FRAC_CONST(0.902585327625275) },
+ { FRAC_CONST(0.406736612319946), FRAC_CONST(0.913545489311218) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.358367860317230), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(0.333806812763214), FRAC_CONST(0.942641496658325) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.284015327692032), FRAC_CONST(0.958819746971130) },
+ { FRAC_CONST(0.258819073438644), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(0.233445301651955), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(0.207911655306816), FRAC_CONST(0.978147625923157) },
+ { FRAC_CONST(0.182235524058342), FRAC_CONST(0.983254909515381) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.130526125431061), FRAC_CONST(0.991444885730743) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(0.078459084033966), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(0.052335973829031), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(0.026176875457168), FRAC_CONST(0.999657332897186) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.026176963001490), FRAC_CONST(0.999657332897186) },
+ { FRAC_CONST(-0.052336059510708), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.078459173440933), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.130526214838028), FRAC_CONST(0.991444885730743) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.182235598564148), FRAC_CONST(0.983254909515381) },
+ { FRAC_CONST(-0.207911744713783), FRAC_CONST(0.978147566318512) },
+ { FRAC_CONST(-0.233445391058922), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(-0.258819162845612), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(-0.284015417098999), FRAC_CONST(0.958819687366486) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.333806872367859), FRAC_CONST(0.942641496658325) },
+ { FRAC_CONST(-0.358367949724197), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.406736701726913), FRAC_CONST(0.913545429706573) },
+ { FRAC_CONST(-0.430511116981506), FRAC_CONST(0.902585268020630) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.477158725261688), FRAC_CONST(0.878817141056061) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.998629510402679), FRAC_CONST(0.052335958927870) },
+ { FRAC_CONST(0.994521915912628), FRAC_CONST(0.104528464376926) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.965925812721252), FRAC_CONST(0.258819043636322) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.933580398559570), FRAC_CONST(0.358367949724197) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.866025388240814), FRAC_CONST(0.500000000000000) },
+ { FRAC_CONST(0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.777145922183990), FRAC_CONST(0.629320383071899) },
+ { FRAC_CONST(0.743144810199738), FRAC_CONST(0.669130623340607) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.629320383071899), FRAC_CONST(0.777145981788635) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.544638991355896), FRAC_CONST(0.838670611381531) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.406736612319946), FRAC_CONST(0.913545489311218) },
+ { FRAC_CONST(0.358367860317230), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.258819073438644), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(0.207911655306816), FRAC_CONST(0.978147625923157) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(0.052335973829031), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.052336059510708), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.207911744713783), FRAC_CONST(0.978147566318512) },
+ { FRAC_CONST(-0.258819162845612), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.358367949724197), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(-0.406736701726913), FRAC_CONST(0.913545429706573) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.500000059604645), FRAC_CONST(0.866025388240814) },
+ { FRAC_CONST(-0.544639050960541), FRAC_CONST(0.838670551776886) },
+ { FRAC_CONST(-0.587785184383392), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.629320502281189), FRAC_CONST(0.777145862579346) },
+ { FRAC_CONST(-0.669130682945251), FRAC_CONST(0.743144810199738) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.743144929409027), FRAC_CONST(0.669130444526672) },
+ { FRAC_CONST(-0.777146041393280), FRAC_CONST(0.629320263862610) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(-0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(-0.866025388240814), FRAC_CONST(0.500000059604645) },
+ { FRAC_CONST(-0.891006588935852), FRAC_CONST(0.453990370035172) },
+ { FRAC_CONST(-0.913545489311218), FRAC_CONST(0.406736582517624) },
+ { FRAC_CONST(-0.933580458164215), FRAC_CONST(0.358367919921875) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.965925872325897), FRAC_CONST(0.258818924427032) },
+ { FRAC_CONST(-0.978147625923157), FRAC_CONST(0.207911610603333) },
+ { FRAC_CONST(-0.987688362598419), FRAC_CONST(0.156434446573257) },
+ { FRAC_CONST(-0.994521915912628), FRAC_CONST(0.104528494179249) },
+ { FRAC_CONST(-0.998629570007324), FRAC_CONST(0.052335809916258) },
+ { FRAC_CONST(-1.000000000000000), FRAC_CONST(-0.000000087422777) },
+ { FRAC_CONST(-0.998629510402679), FRAC_CONST(-0.052335985004902) },
+ { FRAC_CONST(-0.994521856307983), FRAC_CONST(-0.104528672993183) },
+ { FRAC_CONST(-0.987688302993774), FRAC_CONST(-0.156434610486031) },
+ { FRAC_CONST(-0.978147566318512), FRAC_CONST(-0.207911789417267) },
+ { FRAC_CONST(-0.965925812721252), FRAC_CONST(-0.258819073438644) },
+ { FRAC_CONST(-0.951056540012360), FRAC_CONST(-0.309016972780228) },
+ { FRAC_CONST(-0.933580398559570), FRAC_CONST(-0.358368098735809) },
+ { FRAC_CONST(-0.913545429706573), FRAC_CONST(-0.406736731529236) },
+ { FRAC_CONST(-0.891006529331207), FRAC_CONST(-0.453990548849106) },
+ { FRAC_CONST(-0.866025269031525), FRAC_CONST(-0.500000178813934) },
+ { FRAC_CONST(-0.838670492172241), FRAC_CONST(-0.544639170169830) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(-0.777145922183990), FRAC_CONST(-0.629320442676544) },
+ { FRAC_CONST(-0.743144810199738), FRAC_CONST(-0.669130623340607) },
+ { FRAC_CONST(-0.707106649875641), FRAC_CONST(-0.707106888294220) },
+ { FRAC_CONST(-0.669130504131317), FRAC_CONST(-0.743144869804382) },
+ { FRAC_CONST(-0.629320323467255), FRAC_CONST(-0.777145981788635) },
+ { FRAC_CONST(-0.587785065174103), FRAC_CONST(-0.809017121791840) },
+ { FRAC_CONST(-0.544639110565186), FRAC_CONST(-0.838670551776886) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.996917307376862), FRAC_CONST(0.078459098935127) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.852640151977539), FRAC_CONST(0.522498548030853) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.649448037147522), FRAC_CONST(0.760405957698822) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.522498488426209), FRAC_CONST(0.852640211582184) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.233445301651955), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.078459084033966), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.587785184383392), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(-0.891006588935852), FRAC_CONST(0.453990370035172) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.987688362598419), FRAC_CONST(0.156434446573257) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.078459173440933), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.522498667240143), FRAC_CONST(0.852640092372894) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.852640211582184), FRAC_CONST(0.522498488426209) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.996917366981506), FRAC_CONST(0.078459039330482) },
+ { FRAC_CONST(-0.987688302993774), FRAC_CONST(-0.156434610486031) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(-0.649447917938232), FRAC_CONST(-0.760406076908112) },
+ { FRAC_CONST(-0.453990221023560), FRAC_CONST(-0.891006648540497) },
+ { FRAC_CONST(-0.233445450663567), FRAC_CONST(-0.972369909286499) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.309017121791840), FRAC_CONST(-0.951056480407715) }
};
+#endif
-complex_t cfft_tab_64[] =
+ALIGN static const complex_t cfft_tab_64[] =
{
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(0.09801713), COEF_CONST(0.99518472) },
- { COEF_CONST(-0.19509032), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.47139674), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139683) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.99518472), COEF_CONST(-0.09801727) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.77301043), COEF_CONST(-0.63439322) },
- { COEF_CONST(-0.55557024), COEF_CONST(-0.83146977) },
- { COEF_CONST(-0.29028466), COEF_CONST(-0.95694035) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.00000001), COEF_CONST(-1.00000000) }
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.881921231746674), FRAC_CONST(0.471396833658218) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(-0.098017267882824) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.773010551929474), FRAC_CONST(-0.634393215179443) },
+ { FRAC_CONST(-0.555570006370544), FRAC_CONST(-0.831469774246216) },
+ { FRAC_CONST(-0.290284544229507), FRAC_CONST(-0.956940352916718) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.000000011924881), FRAC_CONST(-1.000000000000000) }
};
-complex_t cfft_tab_60[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const complex_t cfft_tab_60[] =
{
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99452192), COEF_CONST(0.10452846) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.86602539), COEF_CONST(0.50000000) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.74314481), COEF_CONST(0.66913062) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.40673661), COEF_CONST(0.91354549) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.20791166), COEF_CONST(0.97814763) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.20791174), COEF_CONST(0.97814757) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.40673670), COEF_CONST(0.91354543) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.50000006), COEF_CONST(0.86602539) },
- { COEF_CONST(-0.66913068), COEF_CONST(0.74314481) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(-0.91354549), COEF_CONST(0.40673658) },
- { COEF_CONST(-0.97814763), COEF_CONST(0.20791161) },
- { COEF_CONST(-1.00000000), COEF_CONST(-0.00000009) },
- { COEF_CONST(-0.97814757), COEF_CONST(-0.20791179) },
- { COEF_CONST(-0.91354543), COEF_CONST(-0.40673673) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(-0.66913050), COEF_CONST(-0.74314487) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.30901712), COEF_CONST(-0.95105648) }
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.994521915912628), FRAC_CONST(0.104528464376926) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.866025388240814), FRAC_CONST(0.500000000000000) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.743144810199738), FRAC_CONST(0.669130623340607) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.406736612319946), FRAC_CONST(0.913545489311218) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.207911655306816), FRAC_CONST(0.978147625923157) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.207911744713783), FRAC_CONST(0.978147566318512) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.406736701726913), FRAC_CONST(0.913545429706573) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.500000059604645), FRAC_CONST(0.866025388240814) },
+ { FRAC_CONST(-0.669130682945251), FRAC_CONST(0.743144810199738) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(-0.913545489311218), FRAC_CONST(0.406736582517624) },
+ { FRAC_CONST(-0.978147625923157), FRAC_CONST(0.207911610603333) },
+ { FRAC_CONST(-1.000000000000000), FRAC_CONST(-0.000000087422777) },
+ { FRAC_CONST(-0.978147566318512), FRAC_CONST(-0.207911789417267) },
+ { FRAC_CONST(-0.913545429706573), FRAC_CONST(-0.406736731529236) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(-0.669130504131317), FRAC_CONST(-0.743144869804382) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.309017121791840), FRAC_CONST(-0.951056480407715) }
};
+#endif
#ifdef LD_DEC
-complex_t cfft_tab_256[] =
+ALIGN static const complex_t cfft_tab_256[] =
{
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99969882), COEF_CONST(0.02454123) },
- { COEF_CONST(0.99879545), COEF_CONST(0.04906768) },
- { COEF_CONST(0.99729043), COEF_CONST(0.07356457) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.99247956), COEF_CONST(0.12241068) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.98527765), COEF_CONST(0.17096190) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.97570211), COEF_CONST(0.21910124) },
- { COEF_CONST(0.97003126), COEF_CONST(0.24298020) },
- { COEF_CONST(0.96377605), COEF_CONST(0.26671278) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.94952816), COEF_CONST(0.31368175) },
- { COEF_CONST(0.94154406), COEF_CONST(0.33688986) },
- { COEF_CONST(0.93299282), COEF_CONST(0.35989505) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.91420972), COEF_CONST(0.40524134) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.89322430), COEF_CONST(0.44961134) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.87008697), COEF_CONST(0.49289823) },
- { COEF_CONST(0.85772860), COEF_CONST(0.51410276) },
- { COEF_CONST(0.84485358), COEF_CONST(0.53499764) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.81758481), COEF_CONST(0.57580823) },
- { COEF_CONST(0.80320752), COEF_CONST(0.59569931) },
- { COEF_CONST(0.78834641), COEF_CONST(0.61523163) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.75720882), COEF_CONST(0.65317285) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.72424710), COEF_CONST(0.68954057) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.68954051), COEF_CONST(0.72424710) },
- { COEF_CONST(0.67155892), COEF_CONST(0.74095118) },
- { COEF_CONST(0.65317285), COEF_CONST(0.75720888) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.61523157), COEF_CONST(0.78834641) },
- { COEF_CONST(0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(0.57580817), COEF_CONST(0.81758481) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.53499758), COEF_CONST(0.84485358) },
- { COEF_CONST(0.51410270), COEF_CONST(0.85772866) },
- { COEF_CONST(0.49289817), COEF_CONST(0.87008697) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.44961131), COEF_CONST(0.89322430) },
- { COEF_CONST(0.42755505), COEF_CONST(0.90398932) },
- { COEF_CONST(0.40524128), COEF_CONST(0.91420978) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.35989499), COEF_CONST(0.93299282) },
- { COEF_CONST(0.33688983), COEF_CONST(0.94154406) },
- { COEF_CONST(0.31368172), COEF_CONST(0.94952822) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.26671273), COEF_CONST(0.96377605) },
- { COEF_CONST(0.24298014), COEF_CONST(0.97003126) },
- { COEF_CONST(0.21910121), COEF_CONST(0.97570211) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.17096186), COEF_CONST(0.98527765) },
- { COEF_CONST(0.14673044), COEF_CONST(0.98917651) },
- { COEF_CONST(0.12241063), COEF_CONST(0.99247956) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(0.07356452), COEF_CONST(0.99729043) },
- { COEF_CONST(0.04906763), COEF_CONST(0.99879545) },
- { COEF_CONST(0.02454119), COEF_CONST(0.99969882) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99879545), COEF_CONST(0.04906768) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.97003126), COEF_CONST(0.24298020) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.94154406), COEF_CONST(0.33688986) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.85772860), COEF_CONST(0.51410276) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.80320752), COEF_CONST(0.59569931) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.67155892), COEF_CONST(0.74095118) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.51410270), COEF_CONST(0.85772866) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.42755505), COEF_CONST(0.90398932) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.33688983), COEF_CONST(0.94154406) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.24298014), COEF_CONST(0.97003126) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.14673044), COEF_CONST(0.98917651) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(0.04906763), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.04906772), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.09801719), COEF_CONST(0.99518472) },
- { COEF_CONST(-0.14673053), COEF_CONST(0.98917651) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.24298023), COEF_CONST(0.97003126) },
- { COEF_CONST(-0.29028472), COEF_CONST(0.95694029) },
- { COEF_CONST(-0.33688989), COEF_CONST(0.94154406) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.42755514), COEF_CONST(0.90398932) },
- { COEF_CONST(-0.47139677), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.51410282), COEF_CONST(0.85772860) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.59569937), COEF_CONST(0.80320752) },
- { COEF_CONST(-0.63439333), COEF_CONST(0.77301049) },
- { COEF_CONST(-0.67155898), COEF_CONST(0.74095106) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.74095118), COEF_CONST(0.67155886) },
- { COEF_CONST(-0.77301049), COEF_CONST(0.63439327) },
- { COEF_CONST(-0.80320758), COEF_CONST(0.59569913) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.85772866), COEF_CONST(0.51410276) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139663) },
- { COEF_CONST(-0.90398932), COEF_CONST(0.42755505) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.94154412), COEF_CONST(0.33688980) },
- { COEF_CONST(-0.95694035), COEF_CONST(0.29028472) },
- { COEF_CONST(-0.97003126), COEF_CONST(0.24298008) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.98917651), COEF_CONST(0.14673033) },
- { COEF_CONST(-0.99518472), COEF_CONST(0.09801710) },
- { COEF_CONST(-0.99879545), COEF_CONST(0.04906749) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99729043), COEF_CONST(0.07356457) },
- { COEF_CONST(0.98917651), COEF_CONST(0.14673047) },
- { COEF_CONST(0.97570211), COEF_CONST(0.21910124) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.93299282), COEF_CONST(0.35989505) },
- { COEF_CONST(0.90398932), COEF_CONST(0.42755508) },
- { COEF_CONST(0.87008697), COEF_CONST(0.49289823) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.78834641), COEF_CONST(0.61523157) },
- { COEF_CONST(0.74095112), COEF_CONST(0.67155898) },
- { COEF_CONST(0.68954057), COEF_CONST(0.72424710) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.57580817), COEF_CONST(0.81758481) },
- { COEF_CONST(0.51410276), COEF_CONST(0.85772866) },
- { COEF_CONST(0.44961134), COEF_CONST(0.89322430) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(0.31368175), COEF_CONST(0.94952816) },
- { COEF_CONST(0.24298018), COEF_CONST(0.97003126) },
- { COEF_CONST(0.17096189), COEF_CONST(0.98527765) },
- { COEF_CONST(0.09801713), COEF_CONST(0.99518472) },
- { COEF_CONST(0.02454123), COEF_CONST(0.99969882) },
- { COEF_CONST(-0.04906768), COEF_CONST(0.99879545) },
- { COEF_CONST(-0.12241068), COEF_CONST(0.99247950) },
- { COEF_CONST(-0.19509032), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.26671275), COEF_CONST(0.96377605) },
- { COEF_CONST(-0.33688986), COEF_CONST(0.94154406) },
- { COEF_CONST(-0.40524131), COEF_CONST(0.91420972) },
- { COEF_CONST(-0.47139674), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.53499764), COEF_CONST(0.84485352) },
- { COEF_CONST(-0.59569931), COEF_CONST(0.80320752) },
- { COEF_CONST(-0.65317285), COEF_CONST(0.75720882) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.75720882), COEF_CONST(0.65317285) },
- { COEF_CONST(-0.80320752), COEF_CONST(0.59569937) },
- { COEF_CONST(-0.84485358), COEF_CONST(0.53499770) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139683) },
- { COEF_CONST(-0.91420978), COEF_CONST(0.40524122) },
- { COEF_CONST(-0.94154406), COEF_CONST(0.33688980) },
- { COEF_CONST(-0.96377605), COEF_CONST(0.26671273) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.99247956), COEF_CONST(0.12241070) },
- { COEF_CONST(-0.99879545), COEF_CONST(0.04906772) },
- { COEF_CONST(-0.99969882), COEF_CONST(-0.02454115) },
- { COEF_CONST(-0.99518472), COEF_CONST(-0.09801727) },
- { COEF_CONST(-0.98527765), COEF_CONST(-0.17096199) },
- { COEF_CONST(-0.97003126), COEF_CONST(-0.24298024) },
- { COEF_CONST(-0.94952816), COEF_CONST(-0.31368178) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.89322430), COEF_CONST(-0.44961131) },
- { COEF_CONST(-0.85772860), COEF_CONST(-0.51410270) },
- { COEF_CONST(-0.81758481), COEF_CONST(-0.57580811) },
- { COEF_CONST(-0.77301043), COEF_CONST(-0.63439322) },
- { COEF_CONST(-0.72424710), COEF_CONST(-0.68954062) },
- { COEF_CONST(-0.67155898), COEF_CONST(-0.74095118) },
- { COEF_CONST(-0.61523157), COEF_CONST(-0.78834647) },
- { COEF_CONST(-0.55557024), COEF_CONST(-0.83146977) },
- { COEF_CONST(-0.49289820), COEF_CONST(-0.87008697) },
- { COEF_CONST(-0.42755508), COEF_CONST(-0.90398937) },
- { COEF_CONST(-0.35989502), COEF_CONST(-0.93299276) },
- { COEF_CONST(-0.29028466), COEF_CONST(-0.95694035) },
- { COEF_CONST(-0.21910124), COEF_CONST(-0.97570211) },
- { COEF_CONST(-0.14673047), COEF_CONST(-0.98917651) },
- { COEF_CONST(-0.07356455), COEF_CONST(-0.99729043) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99518472), COEF_CONST(0.09801714) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.88192123), COEF_CONST(0.47139674) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.77301043), COEF_CONST(0.63439333) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.47139671), COEF_CONST(0.88192129) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.29028463), COEF_CONST(0.95694035) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(0.09801710), COEF_CONST(0.99518472) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.98078525), COEF_CONST(0.19509032) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.55557019), COEF_CONST(0.83146966) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.19509028), COEF_CONST(0.98078531) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.19509037), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.55557030), COEF_CONST(0.83146954) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.83146966), COEF_CONST(0.55557019) },
- { COEF_CONST(-0.92387956), COEF_CONST(0.38268328) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.95694035), COEF_CONST(0.29028466) },
- { COEF_CONST(0.83146960), COEF_CONST(0.55557024) },
- { COEF_CONST(0.63439327), COEF_CONST(0.77301043) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(0.09801713), COEF_CONST(0.99518472) },
- { COEF_CONST(-0.19509032), COEF_CONST(0.98078525) },
- { COEF_CONST(-0.47139674), COEF_CONST(0.88192123) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.88192129), COEF_CONST(0.47139683) },
- { COEF_CONST(-0.98078531), COEF_CONST(0.19509031) },
- { COEF_CONST(-0.99518472), COEF_CONST(-0.09801727) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.77301043), COEF_CONST(-0.63439322) },
- { COEF_CONST(-0.55557024), COEF_CONST(-0.83146977) },
- { COEF_CONST(-0.29028466), COEF_CONST(-0.95694035) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.38268343), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.00000001), COEF_CONST(-1.00000000) }
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.999698817729950), FRAC_CONST(0.024541229009628) },
+ { FRAC_CONST(0.998795449733734), FRAC_CONST(0.049067676067352) },
+ { FRAC_CONST(0.997290432453156), FRAC_CONST(0.073564566671848) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.992479562759399), FRAC_CONST(0.122410677373409) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.985277652740479), FRAC_CONST(0.170961901545525) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.975702106952667), FRAC_CONST(0.219101235270500) },
+ { FRAC_CONST(0.970031261444092), FRAC_CONST(0.242980197072029) },
+ { FRAC_CONST(0.963776051998138), FRAC_CONST(0.266712784767151) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.949528157711029), FRAC_CONST(0.313681751489639) },
+ { FRAC_CONST(0.941544055938721), FRAC_CONST(0.336889863014221) },
+ { FRAC_CONST(0.932992815971375), FRAC_CONST(0.359895050525665) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.914209723472595), FRAC_CONST(0.405241340398788) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.893224298954010), FRAC_CONST(0.449611335992813) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.870086967945099), FRAC_CONST(0.492898225784302) },
+ { FRAC_CONST(0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(0.844853579998016), FRAC_CONST(0.534997642040253) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.817584812641144), FRAC_CONST(0.575808227062225) },
+ { FRAC_CONST(0.803207516670227), FRAC_CONST(0.595699310302734) },
+ { FRAC_CONST(0.788346409797668), FRAC_CONST(0.615231633186340) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.757208824157715), FRAC_CONST(0.653172850608826) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.724247097969055), FRAC_CONST(0.689540565013886) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.689540505409241), FRAC_CONST(0.724247097969055) },
+ { FRAC_CONST(0.671558916568756), FRAC_CONST(0.740951180458069) },
+ { FRAC_CONST(0.653172791004181), FRAC_CONST(0.757208883762360) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.615231573581696), FRAC_CONST(0.788346409797668) },
+ { FRAC_CONST(0.595699310302734), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(0.575808167457581), FRAC_CONST(0.817584812641144) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.534997642040253), FRAC_CONST(0.844853579998016) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.492898195981979), FRAC_CONST(0.870086967945099) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.449611306190491), FRAC_CONST(0.893224298954010) },
+ { FRAC_CONST(0.427555114030838), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(0.405241280794144), FRAC_CONST(0.914209783077240) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.359894961118698), FRAC_CONST(0.932992815971375) },
+ { FRAC_CONST(0.336889833211899), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(0.313681662082672), FRAC_CONST(0.949528217315674) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.266712754964828), FRAC_CONST(0.963776051998138) },
+ { FRAC_CONST(0.242980122566223), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.219101220369339), FRAC_CONST(0.975702106952667) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.170961856842041), FRAC_CONST(0.985277652740479) },
+ { FRAC_CONST(0.146730497479439), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(0.122410625219345), FRAC_CONST(0.992479562759399) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.073564492166042), FRAC_CONST(0.997290432453156) },
+ { FRAC_CONST(0.049067649990320), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(0.024541135877371), FRAC_CONST(0.999698817729950) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.998795449733734), FRAC_CONST(0.049067676067352) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.970031261444092), FRAC_CONST(0.242980197072029) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.941544055938721), FRAC_CONST(0.336889863014221) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.803207516670227), FRAC_CONST(0.595699310302734) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.671558916568756), FRAC_CONST(0.740951180458069) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.595699310302734), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.427555114030838), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.336889833211899), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.242980122566223), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.146730497479439), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.049067649990320), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.049067739397287), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.098017223179340), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(-0.146730571985245), FRAC_CONST(0.989176511764526) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.242980197072029), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(-0.290284723043442), FRAC_CONST(0.956940293312073) },
+ { FRAC_CONST(-0.336889922618866), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.427555084228516), FRAC_CONST(0.903989315032959) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.514102756977081), FRAC_CONST(0.857728600502014) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.595699369907379), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(-0.634393274784088), FRAC_CONST(0.773010492324829) },
+ { FRAC_CONST(-0.671559035778046), FRAC_CONST(0.740951061248779) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.740951240062714), FRAC_CONST(0.671558856964111) },
+ { FRAC_CONST(-0.773010492324829), FRAC_CONST(0.634393274784088) },
+ { FRAC_CONST(-0.803207635879517), FRAC_CONST(0.595699131488800) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.857728600502014), FRAC_CONST(0.514102756977081) },
+ { FRAC_CONST(-0.881921350955963), FRAC_CONST(0.471396625041962) },
+ { FRAC_CONST(-0.903989315032959), FRAC_CONST(0.427555054426193) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.941544115543365), FRAC_CONST(0.336889803409576) },
+ { FRAC_CONST(-0.956940352916718), FRAC_CONST(0.290284723043442) },
+ { FRAC_CONST(-0.970031261444092), FRAC_CONST(0.242980077862740) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.989176511764526), FRAC_CONST(0.146730333566666) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(0.098017096519470) },
+ { FRAC_CONST(-0.998795449733734), FRAC_CONST(0.049067486077547) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.997290432453156), FRAC_CONST(0.073564566671848) },
+ { FRAC_CONST(0.989176511764526), FRAC_CONST(0.146730467677116) },
+ { FRAC_CONST(0.975702106952667), FRAC_CONST(0.219101235270500) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.932992815971375), FRAC_CONST(0.359895050525665) },
+ { FRAC_CONST(0.903989315032959), FRAC_CONST(0.427555084228516) },
+ { FRAC_CONST(0.870086967945099), FRAC_CONST(0.492898225784302) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.788346469402313), FRAC_CONST(0.615231573581696) },
+ { FRAC_CONST(0.740951120853424), FRAC_CONST(0.671558976173401) },
+ { FRAC_CONST(0.689540505409241), FRAC_CONST(0.724247097969055) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.575808227062225), FRAC_CONST(0.817584812641144) },
+ { FRAC_CONST(0.514102697372437), FRAC_CONST(0.857728660106659) },
+ { FRAC_CONST(0.449611306190491), FRAC_CONST(0.893224298954010) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.313681751489639), FRAC_CONST(0.949528157711029) },
+ { FRAC_CONST(0.242980241775513), FRAC_CONST(0.970031261444092) },
+ { FRAC_CONST(0.170961856842041), FRAC_CONST(0.985277652740479) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(0.024541255086660), FRAC_CONST(0.999698817729950) },
+ { FRAC_CONST(-0.049067739397287), FRAC_CONST(0.998795449733734) },
+ { FRAC_CONST(-0.122410707175732), FRAC_CONST(0.992479503154755) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.266712725162506), FRAC_CONST(0.963776051998138) },
+ { FRAC_CONST(-0.336889803409576), FRAC_CONST(0.941544055938721) },
+ { FRAC_CONST(-0.405241340398788), FRAC_CONST(0.914209723472595) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.534997701644897), FRAC_CONST(0.844853520393372) },
+ { FRAC_CONST(-0.595699369907379), FRAC_CONST(0.803207516670227) },
+ { FRAC_CONST(-0.653172850608826), FRAC_CONST(0.757208824157715) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.757208824157715), FRAC_CONST(0.653172850608826) },
+ { FRAC_CONST(-0.803207516670227), FRAC_CONST(0.595699369907379) },
+ { FRAC_CONST(-0.844853520393372), FRAC_CONST(0.534997701644897) },
+ { FRAC_CONST(-0.881921231746674), FRAC_CONST(0.471396833658218) },
+ { FRAC_CONST(-0.914209783077240), FRAC_CONST(0.405241221189499) },
+ { FRAC_CONST(-0.941544115543365), FRAC_CONST(0.336889803409576) },
+ { FRAC_CONST(-0.963776051998138), FRAC_CONST(0.266712725162506) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.992479503154755), FRAC_CONST(0.122410699725151) },
+ { FRAC_CONST(-0.998795449733734), FRAC_CONST(0.049067724496126) },
+ { FRAC_CONST(-0.999698817729950), FRAC_CONST(-0.024541147053242) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(-0.098017267882824) },
+ { FRAC_CONST(-0.985277652740479), FRAC_CONST(-0.170961990952492) },
+ { FRAC_CONST(-0.970031261444092), FRAC_CONST(-0.242980241775513) },
+ { FRAC_CONST(-0.949528157711029), FRAC_CONST(-0.313681781291962) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.893224298954010), FRAC_CONST(-0.449611306190491) },
+ { FRAC_CONST(-0.857728660106659), FRAC_CONST(-0.514102697372437) },
+ { FRAC_CONST(-0.817584872245789), FRAC_CONST(-0.575808107852936) },
+ { FRAC_CONST(-0.773010551929474), FRAC_CONST(-0.634393215179443) },
+ { FRAC_CONST(-0.724247038364410), FRAC_CONST(-0.689540624618530) },
+ { FRAC_CONST(-0.671558916568756), FRAC_CONST(-0.740951180458069) },
+ { FRAC_CONST(-0.615231573581696), FRAC_CONST(-0.788346469402313) },
+ { FRAC_CONST(-0.555570006370544), FRAC_CONST(-0.831469774246216) },
+ { FRAC_CONST(-0.492898195981979), FRAC_CONST(-0.870086967945099) },
+ { FRAC_CONST(-0.427554935216904), FRAC_CONST(-0.903989374637604) },
+ { FRAC_CONST(-0.359895110130310), FRAC_CONST(-0.932992756366730) },
+ { FRAC_CONST(-0.290284544229507), FRAC_CONST(-0.956940352916718) },
+ { FRAC_CONST(-0.219101369380951), FRAC_CONST(-0.975702106952667) },
+ { FRAC_CONST(-0.146730408072472), FRAC_CONST(-0.989176511764526) },
+ { FRAC_CONST(-0.073564760386944), FRAC_CONST(-0.997290432453156) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.995184719562531), FRAC_CONST(0.098017141222954) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.881921231746674), FRAC_CONST(0.471396744251251) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.773010432720184), FRAC_CONST(0.634393334388733) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.471396654844284), FRAC_CONST(0.881921291351318) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.290284633636475), FRAC_CONST(0.956940352916718) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.980785250663757), FRAC_CONST(0.195090323686600) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.555570185184479), FRAC_CONST(0.831469655036926) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.195090234279633), FRAC_CONST(0.980785310268402) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.555570363998413), FRAC_CONST(0.831469535827637) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.831469655036926), FRAC_CONST(0.555570185184479) },
+ { FRAC_CONST(-0.923879623413086), FRAC_CONST(0.382683277130127) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.956940352916718), FRAC_CONST(0.290284663438797) },
+ { FRAC_CONST(0.831469595432281), FRAC_CONST(0.555570244789124) },
+ { FRAC_CONST(0.634393274784088), FRAC_CONST(0.773010432720184) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.098017133772373), FRAC_CONST(0.995184719562531) },
+ { FRAC_CONST(-0.195090323686600), FRAC_CONST(0.980785250663757) },
+ { FRAC_CONST(-0.471396833658218), FRAC_CONST(0.881921231746674) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.881921231746674), FRAC_CONST(0.471396833658218) },
+ { FRAC_CONST(-0.980785310268402), FRAC_CONST(0.195090308785439) },
+ { FRAC_CONST(-0.995184719562531), FRAC_CONST(-0.098017267882824) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.773010551929474), FRAC_CONST(-0.634393215179443) },
+ { FRAC_CONST(-0.555570006370544), FRAC_CONST(-0.831469774246216) },
+ { FRAC_CONST(-0.290284544229507), FRAC_CONST(-0.956940352916718) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.000000011924881), FRAC_CONST(-1.000000000000000) }
};
-complex_t cfft_tab_240[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const complex_t cfft_tab_240[] =
{
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99965733), COEF_CONST(0.02617695) },
- { COEF_CONST(0.99862951), COEF_CONST(0.05233596) },
- { COEF_CONST(0.99691731), COEF_CONST(0.07845910) },
- { COEF_CONST(0.99452192), COEF_CONST(0.10452846) },
- { COEF_CONST(0.99144489), COEF_CONST(0.13052620) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.98325491), COEF_CONST(0.18223552) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.96592581), COEF_CONST(0.25881904) },
- { COEF_CONST(0.95881975), COEF_CONST(0.28401536) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.94264150), COEF_CONST(0.33380687) },
- { COEF_CONST(0.93358040), COEF_CONST(0.35836795) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.90258527), COEF_CONST(0.43051112) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.87881708), COEF_CONST(0.47715878) },
- { COEF_CONST(0.86602539), COEF_CONST(0.50000000) },
- { COEF_CONST(0.85264015), COEF_CONST(0.52249855) },
- { COEF_CONST(0.83867055), COEF_CONST(0.54463905) },
- { COEF_CONST(0.82412618), COEF_CONST(0.56640625) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.79335332), COEF_CONST(0.60876143) },
- { COEF_CONST(0.77714592), COEF_CONST(0.62932038) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.74314481), COEF_CONST(0.66913062) },
- { COEF_CONST(0.72537434), COEF_CONST(0.68835455) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.68835455), COEF_CONST(0.72537440) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.64944804), COEF_CONST(0.76040596) },
- { COEF_CONST(0.62932038), COEF_CONST(0.77714598) },
- { COEF_CONST(0.60876143), COEF_CONST(0.79335338) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.56640619), COEF_CONST(0.82412618) },
- { COEF_CONST(0.54463899), COEF_CONST(0.83867061) },
- { COEF_CONST(0.52249855), COEF_CONST(0.85264021) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.47715873), COEF_CONST(0.87881714) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.43051106), COEF_CONST(0.90258533) },
- { COEF_CONST(0.40673661), COEF_CONST(0.91354549) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.35836792), COEF_CONST(0.93358046) },
- { COEF_CONST(0.33380681), COEF_CONST(0.94264150) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.28401530), COEF_CONST(0.95881975) },
- { COEF_CONST(0.25881901), COEF_CONST(0.96592581) },
- { COEF_CONST(0.23344533), COEF_CONST(0.97236991) },
- { COEF_CONST(0.20791166), COEF_CONST(0.97814763) },
- { COEF_CONST(0.18223549), COEF_CONST(0.98325491) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.13052616), COEF_CONST(0.99144489) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(0.07845905), COEF_CONST(0.99691731) },
- { COEF_CONST(0.05233591), COEF_CONST(0.99862951) },
- { COEF_CONST(0.02617691), COEF_CONST(0.99965733) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.02617699), COEF_CONST(0.99965733) },
- { COEF_CONST(-0.05233600), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.07845914), COEF_CONST(0.99691731) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.13052624), COEF_CONST(0.99144489) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.18223557), COEF_CONST(0.98325491) },
- { COEF_CONST(-0.20791174), COEF_CONST(0.97814757) },
- { COEF_CONST(-0.23344541), COEF_CONST(0.97236991) },
- { COEF_CONST(-0.25881910), COEF_CONST(0.96592581) },
- { COEF_CONST(-0.28401539), COEF_CONST(0.95881969) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.33380690), COEF_CONST(0.94264150) },
- { COEF_CONST(-0.35836801), COEF_CONST(0.93358046) },
- { COEF_CONST(-0.38268349), COEF_CONST(0.92387950) },
- { COEF_CONST(-0.40673670), COEF_CONST(0.91354543) },
- { COEF_CONST(-0.43051115), COEF_CONST(0.90258527) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.47715881), COEF_CONST(0.87881714) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99862951), COEF_CONST(0.05233596) },
- { COEF_CONST(0.99452192), COEF_CONST(0.10452846) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.97814763), COEF_CONST(0.20791170) },
- { COEF_CONST(0.96592581), COEF_CONST(0.25881904) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.93358040), COEF_CONST(0.35836795) },
- { COEF_CONST(0.91354543), COEF_CONST(0.40673664) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.86602539), COEF_CONST(0.50000000) },
- { COEF_CONST(0.83867055), COEF_CONST(0.54463905) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.77714592), COEF_CONST(0.62932038) },
- { COEF_CONST(0.74314481), COEF_CONST(0.66913062) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.66913056), COEF_CONST(0.74314487) },
- { COEF_CONST(0.62932038), COEF_CONST(0.77714598) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.54463899), COEF_CONST(0.83867061) },
- { COEF_CONST(0.49999997), COEF_CONST(0.86602545) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.40673661), COEF_CONST(0.91354549) },
- { COEF_CONST(0.35836792), COEF_CONST(0.93358046) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.25881901), COEF_CONST(0.96592581) },
- { COEF_CONST(0.20791166), COEF_CONST(0.97814763) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.10452842), COEF_CONST(0.99452192) },
- { COEF_CONST(0.05233591), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.05233600), COEF_CONST(0.99862951) },
- { COEF_CONST(-0.10452851), COEF_CONST(0.99452192) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.20791174), COEF_CONST(0.97814757) },
- { COEF_CONST(-0.25881910), COEF_CONST(0.96592581) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.35836801), COEF_CONST(0.93358046) },
- { COEF_CONST(-0.40673670), COEF_CONST(0.91354543) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.50000006), COEF_CONST(0.86602539) },
- { COEF_CONST(-0.54463911), COEF_CONST(0.83867055) },
- { COEF_CONST(-0.58778530), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.62932044), COEF_CONST(0.77714586) },
- { COEF_CONST(-0.66913068), COEF_CONST(0.74314481) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.74314487), COEF_CONST(0.66913044) },
- { COEF_CONST(-0.77714598), COEF_CONST(0.62932026) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(-0.83867061), COEF_CONST(0.54463905) },
- { COEF_CONST(-0.86602545), COEF_CONST(0.50000006) },
- { COEF_CONST(-0.89100653), COEF_CONST(0.45399037) },
- { COEF_CONST(-0.91354549), COEF_CONST(0.40673658) },
- { COEF_CONST(-0.93358046), COEF_CONST(0.35836792) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.96592587), COEF_CONST(0.25881892) },
- { COEF_CONST(-0.97814763), COEF_CONST(0.20791161) },
- { COEF_CONST(-0.98768836), COEF_CONST(0.15643445) },
- { COEF_CONST(-0.99452192), COEF_CONST(0.10452849) },
- { COEF_CONST(-0.99862951), COEF_CONST(0.05233581) },
- { COEF_CONST(-1.00000000), COEF_CONST(-0.00000009) },
- { COEF_CONST(-0.99862951), COEF_CONST(-0.05233599) },
- { COEF_CONST(-0.99452186), COEF_CONST(-0.10452867) },
- { COEF_CONST(-0.98768830), COEF_CONST(-0.15643461) },
- { COEF_CONST(-0.97814757), COEF_CONST(-0.20791179) },
- { COEF_CONST(-0.96592581), COEF_CONST(-0.25881907) },
- { COEF_CONST(-0.95105648), COEF_CONST(-0.30901697) },
- { COEF_CONST(-0.93358040), COEF_CONST(-0.35836810) },
- { COEF_CONST(-0.91354543), COEF_CONST(-0.40673673) },
- { COEF_CONST(-0.89100647), COEF_CONST(-0.45399055) },
- { COEF_CONST(-0.86602533), COEF_CONST(-0.50000018) },
- { COEF_CONST(-0.83867049), COEF_CONST(-0.54463917) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(-0.77714592), COEF_CONST(-0.62932044) },
- { COEF_CONST(-0.74314475), COEF_CONST(-0.66913062) },
- { COEF_CONST(-0.70710671), COEF_CONST(-0.70710689) },
- { COEF_CONST(-0.66913050), COEF_CONST(-0.74314487) },
- { COEF_CONST(-0.62932032), COEF_CONST(-0.77714598) },
- { COEF_CONST(-0.58778518), COEF_CONST(-0.80901712) },
- { COEF_CONST(-0.54463893), COEF_CONST(-0.83867055) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.99691731), COEF_CONST(0.07845910) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.92387950), COEF_CONST(0.38268346) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.85264015), COEF_CONST(0.52249855) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.64944804), COEF_CONST(0.76040596) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.52249855), COEF_CONST(0.85264021) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.23344533), COEF_CONST(0.97236991) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(0.07845905), COEF_CONST(0.99691731) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.98768836), COEF_CONST(0.15643448) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.70710677), COEF_CONST(0.70710677) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.45399046), COEF_CONST(0.89100653) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.00000004), COEF_CONST(1.00000000) },
- { COEF_CONST(-0.15643451), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.45399055), COEF_CONST(0.89100647) },
- { COEF_CONST(-0.58778530), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(-0.89100653), COEF_CONST(0.45399037) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.98768836), COEF_CONST(0.15643445) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.97236991), COEF_CONST(0.23344538) },
- { COEF_CONST(0.89100653), COEF_CONST(0.45399052) },
- { COEF_CONST(0.76040596), COEF_CONST(0.64944810) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.38268340), COEF_CONST(0.92387950) },
- { COEF_CONST(0.15643443), COEF_CONST(0.98768836) },
- { COEF_CONST(-0.07845914), COEF_CONST(0.99691731) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.52249861), COEF_CONST(0.85264009) },
- { COEF_CONST(-0.70710683), COEF_CONST(0.70710677) },
- { COEF_CONST(-0.85264021), COEF_CONST(0.52249849) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.99691737), COEF_CONST(0.07845904) },
- { COEF_CONST(-0.98768830), COEF_CONST(-0.15643461) },
- { COEF_CONST(-0.92387950), COEF_CONST(-0.38268343) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(-0.64944798), COEF_CONST(-0.76040608) },
- { COEF_CONST(-0.45399040), COEF_CONST(-0.89100665) },
- { COEF_CONST(-0.23344524), COEF_CONST(-0.97236991) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.95105654), COEF_CONST(0.30901700) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.80901700), COEF_CONST(0.58778524) },
- { COEF_CONST(0.30901697), COEF_CONST(0.95105654) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.80901706), COEF_CONST(0.58778518) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.58778524), COEF_CONST(0.80901700) },
- { COEF_CONST(-0.30901703), COEF_CONST(0.95105648) },
- { COEF_CONST(-0.95105654), COEF_CONST(0.30901679) },
- { COEF_CONST(-0.80901694), COEF_CONST(-0.58778536) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(1.00000000), COEF_CONST(0.00000000) },
- { COEF_CONST(0.30901712), COEF_CONST(-0.95105648) }
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.999657332897186), FRAC_CONST(0.026176949962974) },
+ { FRAC_CONST(0.998629510402679), FRAC_CONST(0.052335958927870) },
+ { FRAC_CONST(0.996917307376862), FRAC_CONST(0.078459098935127) },
+ { FRAC_CONST(0.994521915912628), FRAC_CONST(0.104528464376926) },
+ { FRAC_CONST(0.991444885730743), FRAC_CONST(0.130526199936867) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.983254909515381), FRAC_CONST(0.182235524058342) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.965925812721252), FRAC_CONST(0.258819043636322) },
+ { FRAC_CONST(0.958819746971130), FRAC_CONST(0.284015357494354) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.942641496658325), FRAC_CONST(0.333806872367859) },
+ { FRAC_CONST(0.933580398559570), FRAC_CONST(0.358367949724197) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.902585268020630), FRAC_CONST(0.430511116981506) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.878817081451416), FRAC_CONST(0.477158784866333) },
+ { FRAC_CONST(0.866025388240814), FRAC_CONST(0.500000000000000) },
+ { FRAC_CONST(0.852640151977539), FRAC_CONST(0.522498548030853) },
+ { FRAC_CONST(0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(0.824126183986664), FRAC_CONST(0.566406250000000) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.793353319168091), FRAC_CONST(0.608761429786682) },
+ { FRAC_CONST(0.777145922183990), FRAC_CONST(0.629320383071899) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.743144810199738), FRAC_CONST(0.669130623340607) },
+ { FRAC_CONST(0.725374400615692), FRAC_CONST(0.688354551792145) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.688354551792145), FRAC_CONST(0.725374400615692) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.649448037147522), FRAC_CONST(0.760405957698822) },
+ { FRAC_CONST(0.629320383071899), FRAC_CONST(0.777145981788635) },
+ { FRAC_CONST(0.608761370182037), FRAC_CONST(0.793353378772736) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.566406250000000), FRAC_CONST(0.824126183986664) },
+ { FRAC_CONST(0.544638991355896), FRAC_CONST(0.838670611381531) },
+ { FRAC_CONST(0.522498488426209), FRAC_CONST(0.852640211582184) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.477158755064011), FRAC_CONST(0.878817141056061) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.430511027574539), FRAC_CONST(0.902585327625275) },
+ { FRAC_CONST(0.406736612319946), FRAC_CONST(0.913545489311218) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.358367860317230), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(0.333806812763214), FRAC_CONST(0.942641496658325) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.284015327692032), FRAC_CONST(0.958819746971130) },
+ { FRAC_CONST(0.258819073438644), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(0.233445301651955), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(0.207911655306816), FRAC_CONST(0.978147625923157) },
+ { FRAC_CONST(0.182235524058342), FRAC_CONST(0.983254909515381) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.130526125431061), FRAC_CONST(0.991444885730743) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(0.078459084033966), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(0.052335973829031), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(0.026176875457168), FRAC_CONST(0.999657332897186) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.026176963001490), FRAC_CONST(0.999657332897186) },
+ { FRAC_CONST(-0.052336059510708), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.078459173440933), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.130526214838028), FRAC_CONST(0.991444885730743) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.182235598564148), FRAC_CONST(0.983254909515381) },
+ { FRAC_CONST(-0.207911744713783), FRAC_CONST(0.978147566318512) },
+ { FRAC_CONST(-0.233445391058922), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(-0.258819162845612), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(-0.284015417098999), FRAC_CONST(0.958819687366486) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.333806872367859), FRAC_CONST(0.942641496658325) },
+ { FRAC_CONST(-0.358367949724197), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(-0.382683515548706), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(-0.406736701726913), FRAC_CONST(0.913545429706573) },
+ { FRAC_CONST(-0.430511116981506), FRAC_CONST(0.902585268020630) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.477158725261688), FRAC_CONST(0.878817141056061) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.998629510402679), FRAC_CONST(0.052335958927870) },
+ { FRAC_CONST(0.994521915912628), FRAC_CONST(0.104528464376926) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.978147625923157), FRAC_CONST(0.207911700010300) },
+ { FRAC_CONST(0.965925812721252), FRAC_CONST(0.258819043636322) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.933580398559570), FRAC_CONST(0.358367949724197) },
+ { FRAC_CONST(0.913545429706573), FRAC_CONST(0.406736642122269) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.866025388240814), FRAC_CONST(0.500000000000000) },
+ { FRAC_CONST(0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.777145922183990), FRAC_CONST(0.629320383071899) },
+ { FRAC_CONST(0.743144810199738), FRAC_CONST(0.669130623340607) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.669130563735962), FRAC_CONST(0.743144869804382) },
+ { FRAC_CONST(0.629320383071899), FRAC_CONST(0.777145981788635) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.544638991355896), FRAC_CONST(0.838670611381531) },
+ { FRAC_CONST(0.499999970197678), FRAC_CONST(0.866025447845459) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.406736612319946), FRAC_CONST(0.913545489311218) },
+ { FRAC_CONST(0.358367860317230), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.258819073438644), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(0.207911655306816), FRAC_CONST(0.978147625923157) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.104528419673443), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(0.052335973829031), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.052336059510708), FRAC_CONST(0.998629510402679) },
+ { FRAC_CONST(-0.104528509080410), FRAC_CONST(0.994521915912628) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.207911744713783), FRAC_CONST(0.978147566318512) },
+ { FRAC_CONST(-0.258819162845612), FRAC_CONST(0.965925812721252) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.358367949724197), FRAC_CONST(0.933580458164215) },
+ { FRAC_CONST(-0.406736701726913), FRAC_CONST(0.913545429706573) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.500000059604645), FRAC_CONST(0.866025388240814) },
+ { FRAC_CONST(-0.544639050960541), FRAC_CONST(0.838670551776886) },
+ { FRAC_CONST(-0.587785184383392), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.629320502281189), FRAC_CONST(0.777145862579346) },
+ { FRAC_CONST(-0.669130682945251), FRAC_CONST(0.743144810199738) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.743144929409027), FRAC_CONST(0.669130444526672) },
+ { FRAC_CONST(-0.777146041393280), FRAC_CONST(0.629320263862610) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(-0.838670551776886), FRAC_CONST(0.544639050960541) },
+ { FRAC_CONST(-0.866025388240814), FRAC_CONST(0.500000059604645) },
+ { FRAC_CONST(-0.891006588935852), FRAC_CONST(0.453990370035172) },
+ { FRAC_CONST(-0.913545489311218), FRAC_CONST(0.406736582517624) },
+ { FRAC_CONST(-0.933580458164215), FRAC_CONST(0.358367919921875) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.965925872325897), FRAC_CONST(0.258818924427032) },
+ { FRAC_CONST(-0.978147625923157), FRAC_CONST(0.207911610603333) },
+ { FRAC_CONST(-0.987688362598419), FRAC_CONST(0.156434446573257) },
+ { FRAC_CONST(-0.994521915912628), FRAC_CONST(0.104528494179249) },
+ { FRAC_CONST(-0.998629570007324), FRAC_CONST(0.052335809916258) },
+ { FRAC_CONST(-1.000000000000000), FRAC_CONST(-0.000000087422777) },
+ { FRAC_CONST(-0.998629510402679), FRAC_CONST(-0.052335985004902) },
+ { FRAC_CONST(-0.994521856307983), FRAC_CONST(-0.104528672993183) },
+ { FRAC_CONST(-0.987688302993774), FRAC_CONST(-0.156434610486031) },
+ { FRAC_CONST(-0.978147566318512), FRAC_CONST(-0.207911789417267) },
+ { FRAC_CONST(-0.965925812721252), FRAC_CONST(-0.258819073438644) },
+ { FRAC_CONST(-0.951056540012360), FRAC_CONST(-0.309016972780228) },
+ { FRAC_CONST(-0.933580398559570), FRAC_CONST(-0.358368098735809) },
+ { FRAC_CONST(-0.913545429706573), FRAC_CONST(-0.406736731529236) },
+ { FRAC_CONST(-0.891006529331207), FRAC_CONST(-0.453990548849106) },
+ { FRAC_CONST(-0.866025269031525), FRAC_CONST(-0.500000178813934) },
+ { FRAC_CONST(-0.838670492172241), FRAC_CONST(-0.544639170169830) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(-0.777145922183990), FRAC_CONST(-0.629320442676544) },
+ { FRAC_CONST(-0.743144810199738), FRAC_CONST(-0.669130623340607) },
+ { FRAC_CONST(-0.707106649875641), FRAC_CONST(-0.707106888294220) },
+ { FRAC_CONST(-0.669130504131317), FRAC_CONST(-0.743144869804382) },
+ { FRAC_CONST(-0.629320323467255), FRAC_CONST(-0.777145981788635) },
+ { FRAC_CONST(-0.587785065174103), FRAC_CONST(-0.809017121791840) },
+ { FRAC_CONST(-0.544639110565186), FRAC_CONST(-0.838670551776886) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.996917307376862), FRAC_CONST(0.078459098935127) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.923879504203796), FRAC_CONST(0.382683455944061) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.852640151977539), FRAC_CONST(0.522498548030853) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.649448037147522), FRAC_CONST(0.760405957698822) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.522498488426209), FRAC_CONST(0.852640211582184) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.233445301651955), FRAC_CONST(0.972369909286499) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(0.078459084033966), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.987688362598419), FRAC_CONST(0.156434476375580) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.453990519046783), FRAC_CONST(0.891006529331207) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.000000043711388), FRAC_CONST(1.000000000000000) },
+ { FRAC_CONST(-0.156434446573257), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.453990608453751), FRAC_CONST(0.891006469726563) },
+ { FRAC_CONST(-0.587785184383392), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(-0.891006588935852), FRAC_CONST(0.453990370035172) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.987688362598419), FRAC_CONST(0.156434446573257) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.972369909286499), FRAC_CONST(0.233445376157761) },
+ { FRAC_CONST(0.891006529331207), FRAC_CONST(0.453990519046783) },
+ { FRAC_CONST(0.760405957698822), FRAC_CONST(0.649448096752167) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.382683426141739), FRAC_CONST(0.923879504203796) },
+ { FRAC_CONST(0.156434372067451), FRAC_CONST(0.987688362598419) },
+ { FRAC_CONST(-0.078459173440933), FRAC_CONST(0.996917307376862) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.522498667240143), FRAC_CONST(0.852640092372894) },
+ { FRAC_CONST(-0.707106769084930), FRAC_CONST(0.707106769084930) },
+ { FRAC_CONST(-0.852640211582184), FRAC_CONST(0.522498488426209) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.996917366981506), FRAC_CONST(0.078459039330482) },
+ { FRAC_CONST(-0.987688302993774), FRAC_CONST(-0.156434610486031) },
+ { FRAC_CONST(-0.923879504203796), FRAC_CONST(-0.382683426141739) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(-0.649447917938232), FRAC_CONST(-0.760406076908112) },
+ { FRAC_CONST(-0.453990221023560), FRAC_CONST(-0.891006648540497) },
+ { FRAC_CONST(-0.233445450663567), FRAC_CONST(-0.972369909286499) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.951056540012360), FRAC_CONST(0.309017002582550) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.809017002582550), FRAC_CONST(0.587785243988037) },
+ { FRAC_CONST(0.309016972780228), FRAC_CONST(0.951056540012360) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.809017062187195), FRAC_CONST(0.587785184383392) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.587785243988037), FRAC_CONST(0.809017002582550) },
+ { FRAC_CONST(-0.309017032384872), FRAC_CONST(0.951056480407715) },
+ { FRAC_CONST(-0.951056599617004), FRAC_CONST(0.309016793966293) },
+ { FRAC_CONST(-0.809016942977905), FRAC_CONST(-0.587785363197327) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(1.000000000000000), FRAC_CONST(0.000000000000000) },
+ { FRAC_CONST(0.309017121791840), FRAC_CONST(-0.951056480407715) }
};
+#endif
#endif
Index: common.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/common.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- common.c 3 Oct 2003 22:22:27 -0000 1.2
+++ common.c 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -30,10 +30,73 @@
#include "common.h"
#include "structs.h"
+#include <stdlib.h>
#include "syntax.h"
+#ifdef USE_SSE
+__declspec(naked) static int32_t __fastcall test_cpuid(void)
+{
+ __asm
+ {
+ pushf
+ pop eax
+ mov ecx,eax
+ xor eax,(1<<21)
+ push eax
+ popf
+ pushf
+ pop eax
+ push ecx
+ popf
+ cmp eax,ecx
+ mov eax,0
+ setne al
+ ret
+ }
+}
+
+__declspec(naked) static void __fastcall run_cpuid(int32_t param, int32_t out[4])
+{
+ __asm
+ {
+ pushad
+ push edx
+ mov eax,ecx
+ cpuid
+ pop edi
+ mov [edi+0],eax
+ mov [edi+4],ebx
+ mov [edi+8],ecx
+ mov [edi+12],edx
+ popad
+ ret
+ }
+}
+
+uint8_t cpu_has_sse()
+{
+ int32_t features[4];
+
+ if (test_cpuid())
+ {
+ run_cpuid(1, features);
+ }
+
+ /* check for SSE */
+ if (features[3] & 0x02000000)
+ return 1;
+
+ return 0;
+}
+#else
+uint8_t cpu_has_sse()
+{
+ return 0;
+}
+#endif
+
/* Returns the sample rate index based on the samplerate */
-uint8_t get_sr_index(uint32_t samplerate)
+uint8_t get_sr_index(const uint32_t samplerate)
{
if (92017 <= samplerate) return 0;
if (75132 <= samplerate) return 1;
@@ -52,7 +115,7 @@
}
/* Returns the sample rate based on the sample rate index */
-uint32_t get_sample_rate(uint8_t sr_index)
+uint32_t get_sample_rate(const uint8_t sr_index)
{
static const uint32_t sample_rates[] =
{
@@ -66,8 +129,58 @@
return 0;
}
+uint8_t max_pred_sfb(const uint8_t sr_index)
+{
+ static const uint8_t pred_sfb_max[] =
+ {
+ 33, 33, 38, 40, 40, 40, 41, 41, 37, 37, 37, 34
+ };
+
+
+ if (sr_index < 12)
+ return pred_sfb_max[sr_index];
+
+ return 0;
+}
+
+uint8_t max_tns_sfb(const uint8_t sr_index, const uint8_t object_type,
+ const uint8_t is_short)
+{
+ /* entry for each sampling rate
+ * 1 Main/LC long window
+ * 2 Main/LC short window
+ * 3 SSR long window
+ * 4 SSR short window
+ */
+ static const uint8_t tns_sbf_max[][4] =
+ {
+ {31, 9, 28, 7}, /* 96000 */
+ {31, 9, 28, 7}, /* 88200 */
+ {34, 10, 27, 7}, /* 64000 */
+ {40, 14, 26, 6}, /* 48000 */
+ {42, 14, 26, 6}, /* 44100 */
+ {51, 14, 26, 6}, /* 32000 */
+ {46, 14, 29, 7}, /* 24000 */
+ {46, 14, 29, 7}, /* 22050 */
+ {42, 14, 23, 8}, /* 16000 */
+ {42, 14, 23, 8}, /* 12000 */
+ {42, 14, 23, 8}, /* 11025 */
+ {39, 14, 19, 7}, /* 8000 */
+ {39, 14, 19, 7}, /* 7350 */
+ {0,0,0,0},
+ {0,0,0,0},
+ {0,0,0,0}
+ };
+ uint8_t i = 0;
+
+ if (is_short) i++;
+ if (object_type == SSR) i += 2;
+
+ return tns_sbf_max[sr_index][i];
+}
+
/* Returns 0 if an object type is decodable, otherwise returns -1 */
-int8_t can_decode_ot(uint8_t object_type)
+int8_t can_decode_ot(const uint8_t object_type)
{
switch (object_type)
{
@@ -117,6 +230,26 @@
return -1;
}
+/* common malloc function */
+void *faad_malloc(int32_t size)
+{
+#if 0 // defined(_WIN32) && !defined(_WIN32_WCE)
+ return _aligned_malloc(size, 16);
+#else
+ return malloc(size);
+#endif
+}
+
+/* common free function */
+void faad_free(void *b)
+{
+#if 0 // defined(_WIN32) && !defined(_WIN32_WCE)
+ _aligned_free(b);
+#else
+ free(b);
+#endif
+}
+
static const uint8_t Parity [256] = { // parity
0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,
1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,
@@ -160,7 +293,6 @@
*/
uint32_t random_int(void)
{
- static const uint32_t rnd_seed = 16428320;
uint32_t t1, t2, t3, t4;
t3 = t1 = __r1; t4 = t2 = __r2; // Parity calculation is done via table lookup, this is also available
@@ -170,11 +302,3 @@
return (__r1 = (t3 >> 1) | t1 ) ^ (__r2 = (t4 + t4) | t2 );
}
-
-#define LOG2 0.30102999566398
-
-int32_t int_log2(int32_t val)
-{
- return (int32_t)ceil(log(val)/log(2));
-}
-
Index: common.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/common.h,v
retrieving revision 1.3
retrieving revision 1.4
diff -u -r1.3 -r1.4
--- common.h 3 Oct 2003 22:22:27 -0000 1.3
+++ common.h 2 Jun 2004 22:59:02 -0000 1.4
@@ -1,19 +1,19 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
-**
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
** Any non-GPL usage of this software or parts of this software is strictly
@@ -32,9 +32,17 @@
extern "C" {
#endif
-# include "../config.h"
+/* Allow build on cygwin*/
+#if defined(__CYGWIN__)
+#define __STRICT_ANSI__
+#endif
#define INLINE __inline
+#if defined(_WIN32) && !defined(_WIN32_WCE)
+#define ALIGN __declspec(align(16))
+#else
+#define ALIGN
+#endif
#ifndef max
#define max(a, b) (((a) > (b)) ? (a) : (b))
@@ -43,7 +51,6 @@
#define min(a, b) (((a) < (b)) ? (a) : (b))
#endif
-
/* COMPILE TIME DEFINITIONS */
/* use double precision */
@@ -51,6 +58,11 @@
/* use fixed point reals */
//#define FIXED_POINT
+#ifdef _WIN32_WCE
+#define FIXED_POINT
+#endif
+
+
#define ERROR_RESILIENCE
@@ -62,6 +74,11 @@
#define LTP_DEC
/* Allow decoding of LD profile AAC */
#define LD_DEC
+/* Allow decoding of scalable profiles */
+//#define SCALABLE_DEC
+/* Allow decoding of Digital Radio Mondiale (DRM) */
+//#define DRM
+//#define DRM_PS
/* LD can't do without LTP */
#ifdef LD_DEC
@@ -73,13 +90,47 @@
#endif
#endif
+#define ALLOW_SMALL_FRAMELENGTH
+
+
+// Define LC_ONLY_DECODER if you want a pure AAC LC decoder (independant of SBR_DEC)
+//#define LC_ONLY_DECODER
+#ifdef LC_ONLY_DECODER
+ #undef LTP_DEC
+ #undef MAIN_DEC
+ #undef SSR_DEC
+ #undef DRM
+ #undef ALLOW_SMALL_FRAMELENGTH
+ #undef ERROR_RESILIENCE
+#endif
#define SBR_DEC
//#define SBR_LOW_POWER
+//#define PS_DEC
+/* FIXED POINT: No MAIN decoding, no SBR decoding */
#ifdef FIXED_POINT
-#ifndef SBR_LOW_POWER
-#define SBR_LOW_POWER
+# ifdef MAIN_DEC
+# undef MAIN_DEC
+# endif
+//# ifndef SBR_LOW_POWER
+//# define SBR_LOW_POWER
+//# endif
+# ifdef SBR_DEC
+# undef SBR_DEC
+# endif
+#endif // FIXED_POINT
+
+#ifdef DRM
+# ifndef SCALABLE_DEC
+# define SCALABLE_DEC
+# endif
+#endif
+
+#if ((defined(_WIN32) && !defined(_WIN32_WCE)) /* || ((__GNUC__ >= 3) && defined(__i386__)) */ )
+#ifndef FIXED_POINT
+/* includes <xmmintrin.h> to enable SSE intrinsics */
+//#define USE_SSE
#endif
#endif
@@ -96,17 +147,12 @@
#else
#define qmf_t real_t
#define QMF_RE(A) (A)
-#define QMF_IM(A) 0
+#define QMF_IM(A)
#endif
/* END COMPILE TIME DEFINITIONS */
-#ifndef FIXED_POINT
-#define POW_TABLE_SIZE 200
-#endif
-
-
#if defined(_WIN32)
#if 0
@@ -125,10 +171,9 @@
#else
-
/* Define if needed */
-/* #undef HAVE_FLOAT32_T */
+/* #undef HAVE_FLOAT32_T */
/* Define if you have the <inttypes.h> header file. */
#define HAVE_INTTYPES_H 1
@@ -144,7 +189,9 @@
/* Define if you have the ANSI C header files. */
#define STDC_HEADERS 1
-
+#ifdef HAVE_CONFIG_H
+# include "../config.h"
+#endif
#include <stdio.h>
#if HAVE_SYS_TYPES_H
@@ -224,12 +271,6 @@
#if defined(FIXED_POINT)
- #ifdef HAS_MATHF_H
- #include <mathf.h>
- #else
- #include <math.h>
- #endif
-
#include "fixed.h"
#elif defined(USE_DOUBLE_PRECISION)
@@ -238,23 +279,74 @@
#include <math.h>
- #define MUL(A,B) ((A)*(B))
- #define MUL_C_C(A,B) ((A)*(B))
- #define MUL_R_C(A,B) ((A)*(B))
+ #define MUL_R(A,B) ((A)*(B))
+ #define MUL_C(A,B) ((A)*(B))
+ #define MUL_F(A,B) ((A)*(B))
+
+ /* Complex multiplication */
+ static INLINE void ComplexMult(real_t *y1, real_t *y2,
+ real_t x1, real_t x2, real_t c1, real_t c2)
+ {
+ *y1 = MUL_F(x1, c1) + MUL_F(x2, c2);
+ *y2 = MUL_F(x2, c1) - MUL_F(x1, c2);
+ }
#define REAL_CONST(A) ((real_t)(A))
#define COEF_CONST(A) ((real_t)(A))
+ #define FRAC_CONST(A) ((real_t)(A)) /* pure fractional part */
#else /* Normal floating point operation */
typedef float real_t;
- #define MUL(A,B) ((A)*(B))
- #define MUL_C_C(A,B) ((A)*(B))
- #define MUL_R_C(A,B) ((A)*(B))
+#ifdef USE_SSE
+# include <xmmintrin.h>
+#endif
+
+ #define MUL_R(A,B) ((A)*(B))
+ #define MUL_C(A,B) ((A)*(B))
+ #define MUL_F(A,B) ((A)*(B))
#define REAL_CONST(A) ((real_t)(A))
#define COEF_CONST(A) ((real_t)(A))
+ #define FRAC_CONST(A) ((real_t)(A)) /* pure fractional part */
+
+ /* Complex multiplication */
+ static INLINE void ComplexMult(real_t *y1, real_t *y2,
+ real_t x1, real_t x2, real_t c1, real_t c2)
+ {
+ *y1 = MUL_F(x1, c1) + MUL_F(x2, c2);
+ *y2 = MUL_F(x2, c1) - MUL_F(x1, c2);
+ }
+
+
+ #if defined(_WIN32) && !defined(__MINGW32__)
+ #define HAS_LRINTF
+ static INLINE int lrintf(float f)
+ {
+ int i;
+ __asm
+ {
+ fld f
+ fistp i
+ }
+ return i;
+ }
+ #elif (defined(__i386__) && defined(__GNUC__)) && !defined(__MINGW32__)
+ #define HAS_LRINTF
+ // from http://www.stereopsis.com/FPU.html
+ static INLINE int lrintf(float f)
+ {
+ int i;
+ __asm__ __volatile__ (
+ "flds %1 \n\t"
+ "fistpl %0 \n\t"
+ : "=m" (i)
+ : "m" (f));
+ return i;
+ }
+ #endif
+
#ifdef __ICL /* only Intel C compiler has fmath ??? */
@@ -269,6 +361,14 @@
#else
+#ifdef HAVE_LRINTF
+# define HAS_LRINTF
+# define _ISOC9X_SOURCE 1
+# define _ISOC99_SOURCE 1
+# define __USE_ISOC9X 1
+# define __USE_ISOC99 1
+#endif
+
#include <math.h>
#ifdef HAVE_SINF
@@ -298,20 +398,42 @@
#endif
+#ifndef HAS_LRINTF
+/* standard cast */
+#define lrintf(f) ((int32_t)(f))
+#endif
+
typedef real_t complex_t[2];
#define RE(A) A[0]
#define IM(A) A[1]
/* common functions */
-int32_t int_log2(int32_t val);
+uint8_t cpu_has_sse(void);
uint32_t random_int(void);
-uint8_t get_sr_index(uint32_t samplerate);
-uint32_t get_sample_rate(uint8_t sr_index);
-int8_t can_decode_ot(uint8_t object_type);
+uint8_t get_sr_index(const uint32_t samplerate);
+uint8_t max_pred_sfb(const uint8_t sr_index);
+uint8_t max_tns_sfb(const uint8_t sr_index, const uint8_t object_type,
+ const uint8_t is_short);
+uint32_t get_sample_rate(const uint8_t sr_index);
+int8_t can_decode_ot(const uint8_t object_type);
+
+void *faad_malloc(int32_t size);
+void faad_free(void *b);
+
+//#define PROFILE
+#ifdef PROFILE
+static int64_t faad_get_ts()
+{
+ __asm
+ {
+ rdtsc
+ }
+}
+#endif
#ifndef M_PI
-#define M_PI 3.14159265358979323846f
+#define M_PI 3.14159265358979323846
#endif
#ifndef M_PI_2 /* PI/2 */
#define M_PI_2 1.57079632679489661923
Index: decoder.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/decoder.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- decoder.c 3 Oct 2003 22:22:27 -0000 1.2
+++ decoder.c 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,19 +1,19 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
-**
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
** Any non-GPL usage of this software or parts of this software is strictly
@@ -34,22 +34,16 @@
#include "decoder.h"
#include "mp4.h"
#include "syntax.h"
-#include "tns.h"
-#include "pns.h"
-#include "is.h"
-#include "ms.h"
-#include "ic_predict.h"
-#include "lt_predict.h"
-#include "drc.h"
#include "error.h"
#include "output.h"
-#include "dither.h"
-#ifdef SSR_DEC
-#include "ssr.h"
-#include "ssr_fb.h"
-#endif
+#include "filtbank.h"
+#include "drc.h"
#ifdef SBR_DEC
#include "sbr_dec.h"
+#include "sbr_syntax.h"
+#endif
+#ifdef SSR_DEC
+#include "ssr.h"
#endif
#ifdef ANALYSIS
@@ -63,7 +57,7 @@
return err_msg[errcode];
}
-uint32_t FAADAPI faacDecGetCapabilities()
+uint32_t FAADAPI faacDecGetCapabilities(void)
{
uint32_t cap = 0;
@@ -89,12 +83,12 @@
return cap;
}
-faacDecHandle FAADAPI faacDecOpen()
+faacDecHandle FAADAPI faacDecOpen(void)
{
uint8_t i;
faacDecHandle hDecoder = NULL;
- if ((hDecoder = (faacDecHandle)malloc(sizeof(faacDecStruct))) == NULL)
+ if ((hDecoder = (faacDecHandle)faad_malloc(sizeof(faacDecStruct))) == NULL)
return NULL;
memset(hDecoder, 0, sizeof(faacDecStruct));
@@ -102,6 +96,7 @@
hDecoder->config.outputFormat = FAAD_FMT_16BIT;
hDecoder->config.defObjectType = MAIN;
hDecoder->config.defSampleRate = 44100; /* Default: 44.1kHz */
+ hDecoder->config.downMatrix = 0;
hDecoder->adts_header_present = 0;
hDecoder->adif_header_present = 0;
#ifdef ERROR_RESILIENCE
@@ -118,9 +113,7 @@
{
hDecoder->window_shape_prev[i] = 0;
hDecoder->time_out[i] = NULL;
-#ifdef SBR_DEC
- hDecoder->time_out2[i] = NULL;
-#endif
+ hDecoder->fb_intermed[i] = NULL;
#ifdef SSR_DEC
hDecoder->ssr_overlap[i] = NULL;
hDecoder->prev_fmd[i] = NULL;
@@ -135,7 +128,7 @@
}
#ifdef SBR_DEC
- for (i = 0; i < 32; i++)
+ for (i = 0; i < MAX_SYNTAX_ELEMENTS; i++)
{
hDecoder->sbr[i] = NULL;
}
@@ -143,15 +136,13 @@
hDecoder->drc = drc_init(REAL_CONST(1.0), REAL_CONST(1.0));
-#if POW_TABLE_SIZE
- hDecoder->pow2_table = (real_t*)malloc(POW_TABLE_SIZE*sizeof(real_t));
- if (!hDecoder->pow2_table)
- {
- free(hDecoder);
- hDecoder = NULL;
- return hDecoder;
+#ifdef USE_SSE
+ if (cpu_has_sse())
+ {
+ hDecoder->apply_sf_func = apply_scalefactors_sse;
+ } else {
+ hDecoder->apply_sf_func = apply_scalefactors;
}
- build_tables(hDecoder->pow2_table);
#endif
return hDecoder;
@@ -161,9 +152,9 @@
{
if (hDecoder)
{
- faacDecConfigurationPtr config = &(hDecoder->config);
+ faacDecConfigurationPtr config = &(hDecoder->config);
- return config;
+ return config;
}
return NULL;
@@ -177,23 +168,23 @@
/* check if we can decode this object type */
if (can_decode_ot(config->defObjectType) < 0)
return 0;
- hDecoder->config.defObjectType = config->defObjectType;
+ hDecoder->config.defObjectType = config->defObjectType;
/* samplerate: anything but 0 should be possible */
if (config->defSampleRate == 0)
return 0;
- hDecoder->config.defSampleRate = config->defSampleRate;
+ hDecoder->config.defSampleRate = config->defSampleRate;
/* check output format */
if ((config->outputFormat < 1) || (config->outputFormat > 9))
return 0;
- hDecoder->config.outputFormat = config->outputFormat;
+ hDecoder->config.outputFormat = config->outputFormat;
if (config->downMatrix > 1)
- hDecoder->config.downMatrix = config->downMatrix;
+ hDecoder->config.downMatrix = config->downMatrix;
- /* OK */
- return 1;
+ /* OK */
+ return 1;
}
return 0;
@@ -266,7 +257,7 @@
#ifdef SBR_DEC
/* implicit signalling */
- if (*samplerate <= 24000)
+ if (*samplerate <= 24000 && !(hDecoder->config.dontUpSampleImplicitSBR))
{
*samplerate *= 2;
hDecoder->forceUpSampling = 1;
@@ -289,11 +280,6 @@
if (can_decode_ot(hDecoder->object_type) < 0)
return -1;
-#ifndef FIXED_POINT
- if (hDecoder->config.outputFormat >= FAAD_FMT_DITHER_LOWEST)
- Init_Dither(16, (uint8_t)(hDecoder->config.outputFormat - FAAD_FMT_DITHER_LOWEST));
-#endif
-
return bits;
}
@@ -339,7 +325,10 @@
#endif
#ifdef SBR_DEC
hDecoder->sbr_present_flag = mp4ASC.sbr_present_flag;
- hDecoder->forceUpSampling = mp4ASC.forceUpSampling;
+ if (hDecoder->config.dontUpSampleImplicitSBR == 0)
+ hDecoder->forceUpSampling = mp4ASC.forceUpSampling;
+ else
+ hDecoder->forceUpSampling = 0;
/* AAC core decoder samplerate is 2 times as low */
if (hDecoder->sbr_present_flag == 1 || hDecoder->forceUpSampling == 1)
@@ -354,7 +343,11 @@
}
hDecoder->channelConfiguration = mp4ASC.channelsConfiguration;
if (mp4ASC.frameLengthFlag)
+#ifdef ALLOW_SMALL_FRAMELENGTH
hDecoder->frameLength = 960;
+#else
+ return -1;
+#endif
/* must be done before frameLength is divided by 2 for LD */
#ifdef SSR_DEC
@@ -369,17 +362,18 @@
hDecoder->frameLength >>= 1;
#endif
-#ifndef FIXED_POINT
- if (hDecoder->config.outputFormat >= FAAD_FMT_DITHER_LOWEST)
- Init_Dither(16, (uint8_t)(hDecoder->config.outputFormat - FAAD_FMT_DITHER_LOWEST));
-#endif
-
return 0;
}
+#ifdef DRM
int8_t FAADAPI faacDecInitDRM(faacDecHandle hDecoder, uint32_t samplerate,
uint8_t channels)
{
+ uint8_t i;
+
+ if (hDecoder == NULL)
+ return 1; /* error */
+
/* Special object type defined for DRM */
hDecoder->config.defObjectType = DRM_ER_LC;
@@ -399,7 +393,6 @@
hDecoder->channelConfiguration = 1;
#ifdef SBR_DEC
-#ifdef DRM
if (channels == DRMCH_SBR_LC_STEREO)
hDecoder->lcstereo_flag = 1;
else
@@ -414,18 +407,57 @@
sbrDecodeEnd(hDecoder->sbr[0]);
hDecoder->sbr[0] = NULL;
#endif
+
+ if (hDecoder->fb) filter_bank_end(hDecoder->fb);
+ hDecoder->fb = NULL;
+
+ /* Take care of buffers */
+ if (hDecoder->sample_buffer) faad_free(hDecoder->sample_buffer);
+ hDecoder->sample_buffer = NULL;
+ hDecoder->alloced_channels = 0;
+
+ for (i = 0; i < MAX_CHANNELS; i++)
+ {
+ hDecoder->window_shape_prev[i] = 0;
+
+ if (hDecoder->time_out[i]) faad_free(hDecoder->time_out[i]);
+ hDecoder->time_out[i] = NULL;
+ if (hDecoder->fb_intermed[i]) faad_free(hDecoder->fb_intermed[i]);
+ hDecoder->fb_intermed[i] = NULL;
+#ifdef SSR_DEC
+ if (hDecoder->ssr_overlap[i]) faad_free(hDecoder->ssr_overlap[i]);
+ hDecoder->ssr_overlap[i] = NULL;
+ if (hDecoder->prev_fmd[i]) faad_free(hDecoder->prev_fmd[i]);
+ hDecoder->prev_fmd[i] = NULL;
#endif
+#ifdef MAIN_DEC
+ if (hDecoder->pred_stat[i]) faad_free(hDecoder->pred_stat[i]);
+ hDecoder->pred_stat[i] = NULL;
+#endif
+#ifdef LTP_DEC
+ hDecoder->ltp_lag[i] = 0;
+ if (hDecoder->lt_pred_stat[i]) faad_free(hDecoder->lt_pred_stat[i]);
+ hDecoder->lt_pred_stat[i] = NULL;
+#endif
+ }
- /* must be done before frameLength is divided by 2 for LD */
- hDecoder->fb = filter_bank_init(hDecoder->frameLength);
+ for (i = 0; i < MAX_SYNTAX_ELEMENTS; i++)
+ {
+#ifdef SBR_DEC
+ if (hDecoder->sbr[i])
+ sbrDecodeEnd(hDecoder->sbr[i]);
-#ifndef FIXED_POINT
- if (hDecoder->config.outputFormat >= FAAD_FMT_DITHER_LOWEST)
- Init_Dither(16, (uint8_t)(hDecoder->config.outputFormat - FAAD_FMT_DITHER_LOWEST));
+ hDecoder->sbr_alloced[i] = 0;
#endif
+ hDecoder->element_alloced[i] = 0;
+ hDecoder->element_output_channels[i] = 0;
+ }
+
+ hDecoder->fb = filter_bank_init(hDecoder->frameLength);
return 0;
}
+#endif
void FAADAPI faacDecClose(faacDecHandle hDecoder)
{
@@ -434,21 +466,27 @@
if (hDecoder == NULL)
return;
+#ifdef PROFILE
+ printf("AAC decoder total: %I64d cycles\n", hDecoder->cycles);
+ printf("requant: %I64d cycles\n", hDecoder->requant_cycles);
+ printf("spectral_data: %I64d cycles\n", hDecoder->spectral_cycles);
+ printf("scalefactors: %I64d cycles\n", hDecoder->scalefac_cycles);
+ printf("output: %I64d cycles\n", hDecoder->output_cycles);
+#endif
+
for (i = 0; i < MAX_CHANNELS; i++)
{
- if (hDecoder->time_out[i]) free(hDecoder->time_out[i]);
-#ifdef SBR_DEC
- if (hDecoder->time_out2[i]) free(hDecoder->time_out2[i]);
-#endif
+ if (hDecoder->time_out[i]) faad_free(hDecoder->time_out[i]);
+ if (hDecoder->fb_intermed[i]) faad_free(hDecoder->fb_intermed[i]);
#ifdef SSR_DEC
- if (hDecoder->ssr_overlap[i]) free(hDecoder->ssr_overlap[i]);
- if (hDecoder->prev_fmd[i]) free(hDecoder->prev_fmd[i]);
+ if (hDecoder->ssr_overlap[i]) faad_free(hDecoder->ssr_overlap[i]);
+ if (hDecoder->prev_fmd[i]) faad_free(hDecoder->prev_fmd[i]);
#endif
#ifdef MAIN_DEC
- if (hDecoder->pred_stat[i]) free(hDecoder->pred_stat[i]);
+ if (hDecoder->pred_stat[i]) faad_free(hDecoder->pred_stat[i]);
#endif
#ifdef LTP_DEC
- if (hDecoder->lt_pred_stat[i]) free(hDecoder->lt_pred_stat[i]);
+ if (hDecoder->lt_pred_stat[i]) faad_free(hDecoder->lt_pred_stat[i]);
#endif
}
@@ -461,23 +499,17 @@
drc_end(hDecoder->drc);
-#ifndef FIXED_POINT
-#if POW_TABLE_SIZE
- if (hDecoder->pow2_table) free(hDecoder->pow2_table);
-#endif
-#endif
-
- if (hDecoder->sample_buffer) free(hDecoder->sample_buffer);
+ if (hDecoder->sample_buffer) faad_free(hDecoder->sample_buffer);
#ifdef SBR_DEC
- for (i = 0; i < 32; i++)
+ for (i = 0; i < MAX_SYNTAX_ELEMENTS; i++)
{
if (hDecoder->sbr[i])
sbrDecodeEnd(hDecoder->sbr[i]);
}
#endif
- if (hDecoder) free(hDecoder);
+ if (hDecoder) faad_free(hDecoder);
}
void FAADAPI faacDecPostSeekReset(faacDecHandle hDecoder, int32_t frame)
@@ -700,79 +732,23 @@
faacDecFrameInfo *hInfo,
uint8_t *buffer, uint32_t buffer_size)
{
- int32_t i;
- uint8_t ch;
- adts_header adts;
- uint8_t channels = 0, ch_ele = 0;
+ uint8_t channels = 0;
uint8_t output_channels = 0;
- bitfile *ld = (bitfile*)malloc(sizeof(bitfile));
+ bitfile ld;
uint32_t bitsconsumed;
-#ifdef DRM
- uint8_t *revbuffer;
- uint8_t *prevbufstart;
- uint8_t *pbufend;
-#endif
-
- /* local copy of globals */
- uint8_t sf_index, object_type, channelConfiguration, outputFormat;
- uint8_t *window_shape_prev;
uint16_t frame_len;
-#ifdef MAIN_DEC
- pred_state **pred_stat;
-#endif
-#ifdef LTP_DEC
- real_t **lt_pred_stat;
-#endif
- real_t **time_out;
-#ifdef SBR_DEC
- real_t **time_out2;
-#endif
-#ifdef SSR_DEC
- real_t **ssr_overlap, **prev_fmd;
-#endif
- fb_info *fb;
- drc_info *drc;
-#ifdef LTP_DEC
- uint16_t *ltp_lag;
-#endif
- program_config *pce;
-
void *sample_buffer;
- element *syntax_elements[MAX_SYNTAX_ELEMENTS];
- element **elements;
- real_t *spec_coef[MAX_CHANNELS];
+
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
/* safety checks */
- if ((hDecoder == NULL) || (hInfo == NULL) || (buffer == NULL) || (ld == NULL))
+ if ((hDecoder == NULL) || (hInfo == NULL) || (buffer == NULL))
{
return NULL;
}
- sf_index = hDecoder->sf_index;
- object_type = hDecoder->object_type;
- channelConfiguration = hDecoder->channelConfiguration;
-#ifdef MAIN_DEC
- pred_stat = hDecoder->pred_stat;
-#endif
-#ifdef LTP_DEC
- lt_pred_stat = hDecoder->lt_pred_stat;
-#endif
- window_shape_prev = hDecoder->window_shape_prev;
- time_out = hDecoder->time_out;
-#ifdef SBR_DEC
- time_out2 = hDecoder->time_out2;
-#endif
-#ifdef SSR_DEC
- ssr_overlap = hDecoder->ssr_overlap;
- prev_fmd = hDecoder->prev_fmd;
-#endif
- fb = hDecoder->fb;
- drc = hDecoder->drc;
- outputFormat = hDecoder->config.outputFormat;
-#ifdef LTP_DEC
- ltp_lag = hDecoder->ltp_lag;
-#endif
- pce = &hDecoder->pce;
frame_len = hDecoder->frameLength;
@@ -780,20 +756,29 @@
memset(hDecoder->internal_channel, 0, MAX_CHANNELS*sizeof(hDecoder->internal_channel[0]));
/* initialize the bitstream */
- faad_initbits(ld, buffer, buffer_size);
+ faad_initbits(&ld, buffer, buffer_size);
#ifdef DRM
- if (object_type == DRM_ER_LC)
+ if (hDecoder->object_type == DRM_ER_LC)
{
- faad_getbits(ld, 8
+ /* We do not support stereo right now */
+ if (hDecoder->channelConfiguration == 2)
+ {
+ hInfo->error = 8; // Throw CRC error
+ goto error;
+ }
+
+ faad_getbits(&ld, 8
DEBUGVAR(1,1,"faacDecDecode(): skip CRC"));
}
#endif
if (hDecoder->adts_header_present)
{
+ adts_header adts;
+
adts.old_format = hDecoder->config.useOldADTSFormat;
- if ((hInfo->error = adts_frame(&adts, ld)) > 0)
+ if ((hInfo->error = adts_frame(&adts, &ld)) > 0)
goto error;
/* MPEG2 does byte_alignment() here,
@@ -806,67 +791,41 @@
dbg_count = 0;
#endif
- elements = syntax_elements;
-
/* decode the complete bitstream */
- elements = raw_data_block(hDecoder, hInfo, ld, syntax_elements,
- spec_coef, pce, drc);
+#ifdef SCALABLE_DEC
+ if ((hDecoder->object_type == 6) || (hDecoder->object_type == DRM_ER_LC))
+ {
+ aac_scalable_main_element(hDecoder, hInfo, &ld, &hDecoder->pce, hDecoder->drc);
+ } else {
+#endif
+ raw_data_block(hDecoder, hInfo, &ld, &hDecoder->pce, hDecoder->drc);
+#ifdef SCALABLE_DEC
+ }
+#endif
- ch_ele = hDecoder->fr_ch_ele;
channels = hDecoder->fr_channels;
if (hInfo->error > 0)
goto error;
+ /* safety check */
+ if (channels == 0 || channels > MAX_CHANNELS)
+ {
+ /* invalid number of channels */
+ hInfo->error = 12;
+ goto error;
+ }
/* no more bit reading after this */
- bitsconsumed = faad_get_processed_bits(ld);
+ bitsconsumed = faad_get_processed_bits(&ld);
hInfo->bytesconsumed = bit2byte(bitsconsumed);
- if (ld->error)
+ if (ld.error)
{
hInfo->error = 14;
goto error;
}
- faad_endbits(ld);
- if (ld) free(ld);
- ld = NULL;
-
-#ifdef DRM
-#ifdef SBR_DEC
- if ((hDecoder->sbr_present_flag == 1) && (hDecoder->object_type == DRM_ER_LC))
- {
- if (bitsconsumed + 8 > buffer_size*8)
- {
- hInfo->error = 14;
- goto error;
- }
-
- hDecoder->sbr_used[0] = 1;
-
- if (!hDecoder->sbr[0])
- hDecoder->sbr[0] = sbrDecodeInit(hDecoder->frameLength, 1);
-
- /* Reverse bit reading of SBR data in DRM audio frame */
- revbuffer = (uint8_t*)malloc(buffer_size*sizeof(uint8_t));
- prevbufstart = revbuffer;
- pbufend = &buffer[buffer_size - 1];
- for (i = 0; i < buffer_size; i++)
- *prevbufstart++ = tabFlipbits[*pbufend--];
-
- /* Set SBR data */
- hDecoder->sbr[0]->data = revbuffer;
- /* consider 8 bits from AAC-CRC */
- hDecoder->sbr[0]->data_size_bits = buffer_size*8 - bitsconsumed - 8;
- hDecoder->sbr[0]->data_size =
- bit2byte(hDecoder->sbr[0]->data_size_bits + 8);
+ faad_endbits(&ld);
- hDecoder->sbr[0]->lcstereo_flag = hDecoder->lcstereo_flag;
-
- hDecoder->sbr[0]->sample_rate = get_sample_rate(hDecoder->sf_index);
- hDecoder->sbr[0]->sample_rate *= 2;
- }
-#endif
-#endif
if (!hDecoder->adts_header_present && !hDecoder->adif_header_present)
{
@@ -914,238 +873,48 @@
return NULL;
}
- if (hDecoder->sample_buffer == NULL)
- {
+ /* allocate the buffer for the final samples */
+ if ((hDecoder->sample_buffer == NULL) ||
+ (hDecoder->alloced_channels != output_channels))
+ {
+ static const uint8_t str[] = { sizeof(int16_t), sizeof(int32_t), sizeof(int32_t),
+ sizeof(float32_t), sizeof(double), sizeof(int16_t), sizeof(int16_t),
+ sizeof(int16_t), sizeof(int16_t), 0, 0, 0
+ };
+ uint8_t stride = str[hDecoder->config.outputFormat-1];
#ifdef SBR_DEC
if ((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
- {
- if (hDecoder->config.outputFormat == FAAD_FMT_DOUBLE)
- hDecoder->sample_buffer = malloc(2*frame_len*channels*sizeof(double));
- else
- hDecoder->sample_buffer = malloc(2*frame_len*channels*sizeof(real_t));
- } else {
-#endif
- if (hDecoder->config.outputFormat == FAAD_FMT_DOUBLE)
- hDecoder->sample_buffer = malloc(frame_len*channels*sizeof(double));
- else
- hDecoder->sample_buffer = malloc(frame_len*channels*sizeof(real_t));
-#ifdef SBR_DEC
- }
+ stride = 2 * stride;
#endif
+ if (hDecoder->sample_buffer)
+ faad_free(hDecoder->sample_buffer);
+ hDecoder->sample_buffer = NULL;
+ hDecoder->sample_buffer = faad_malloc(frame_len*output_channels*stride);
+ hDecoder->alloced_channels = output_channels;
}
sample_buffer = hDecoder->sample_buffer;
-
- /* Because for ms, is and pns both channels spectral coefficients are needed
- we have to restart running through all channels here.
- */
- for (ch = 0; ch < channels; ch++)
- {
- int16_t pch = -1;
- uint8_t right_channel;
- ic_stream *ics, *icsr;
- ltp_info *ltp;
-
- /* find the syntax element to which this channel belongs */
- if (syntax_elements[hDecoder->channel_element[ch]]->channel == ch)
- {
- ics = &(syntax_elements[hDecoder->channel_element[ch]]->ics1);
- icsr = &(syntax_elements[hDecoder->channel_element[ch]]->ics2);
- ltp = &(ics->ltp);
- pch = syntax_elements[hDecoder->channel_element[ch]]->paired_channel;
- right_channel = 0;
- } else if (syntax_elements[hDecoder->channel_element[ch]]->paired_channel == ch) {
- ics = &(syntax_elements[hDecoder->channel_element[ch]]->ics2);
- if (syntax_elements[hDecoder->channel_element[ch]]->common_window)
- ltp = &(ics->ltp2);
- else
- ltp = &(ics->ltp);
- right_channel = 1;
- }
-
- /* pns decoding */
- if ((!right_channel) && (pch != -1) && (ics->ms_mask_present))
- pns_decode(ics, icsr, spec_coef[ch], spec_coef[pch], frame_len, 1, object_type);
- else if ((pch == -1) || ((pch != -1) && (!ics->ms_mask_present)))
- pns_decode(ics, NULL, spec_coef[ch], NULL, frame_len, 0, object_type);
-
- if (!right_channel && (pch != -1))
- {
- /* mid/side decoding */
- ms_decode(ics, icsr, spec_coef[ch], spec_coef[pch], frame_len);
-
- /* intensity stereo decoding */
- is_decode(ics, icsr, spec_coef[ch], spec_coef[pch], frame_len);
- }
-
-#ifdef MAIN_DEC
- /* MAIN object type prediction */
- if (object_type == MAIN)
- {
- /* allocate the state only when needed */
- if (pred_stat[ch] == NULL)
- {
- pred_stat[ch] = (pred_state*)malloc(frame_len * sizeof(pred_state));
- reset_all_predictors(pred_stat[ch], frame_len);
- }
-
- /* intra channel prediction */
- ic_prediction(ics, spec_coef[ch], pred_stat[ch], frame_len);
-
- /* In addition, for scalefactor bands coded by perceptual
- noise substitution the predictors belonging to the
- corresponding spectral coefficients are reset.
- */
- pns_reset_pred_state(ics, pred_stat[ch]);
- }
-#endif
-#ifdef LTP_DEC
- if ((object_type == LTP)
-#ifdef ERROR_RESILIENCE
- || (object_type == ER_LTP)
-#endif
-#ifdef LD_DEC
- || (object_type == LD)
-#endif
- )
- {
-#ifdef LD_DEC
- if (object_type == LD)
- {
- if (ltp->data_present)
- {
- if (ltp->lag_update)
- ltp_lag[ch] = ltp->lag;
- }
- ltp->lag = ltp_lag[ch];
- }
-#endif
-
- /* allocate the state only when needed */
- if (lt_pred_stat[ch] == NULL)
- {
- lt_pred_stat[ch] = (real_t*)malloc(frame_len*4 * sizeof(real_t));
- memset(lt_pred_stat[ch], 0, frame_len*4 * sizeof(real_t));
- }
-
- /* long term prediction */
- lt_prediction(ics, ltp, spec_coef[ch], lt_pred_stat[ch], fb,
- ics->window_shape, window_shape_prev[ch],
- sf_index, object_type, frame_len);
- }
-#endif
-
- /* tns decoding */
- tns_decode_frame(ics, &(ics->tns), sf_index, object_type,
- spec_coef[ch], frame_len);
-
- /* drc decoding */
- if (drc->present)
- {
- if (!drc->exclude_mask[ch] || !drc->excluded_chns_present)
- drc_decode(drc, spec_coef[ch]);
- }
-
- if (time_out[ch] == NULL)
- {
- time_out[ch] = (real_t*)malloc(frame_len*2*sizeof(real_t));
- memset(time_out[ch], 0, frame_len*2*sizeof(real_t));
- }
-#ifdef SBR_DEC
- if (time_out2[ch] == NULL)
- {
- time_out2[ch] = (real_t*)malloc(frame_len*2*sizeof(real_t));
- memset(time_out2[ch], 0, frame_len*2*sizeof(real_t));
- }
-#endif
-
- /* filter bank */
-#ifdef SSR_DEC
- if (object_type != SSR)
- {
-#endif
- ifilter_bank(fb, ics->window_sequence, ics->window_shape,
- window_shape_prev[ch], spec_coef[ch],
- time_out[ch], object_type, frame_len);
-#ifdef SSR_DEC
- } else {
- if (ssr_overlap[ch] == NULL)
- {
- ssr_overlap[ch] = (real_t*)malloc(2*frame_len*sizeof(real_t));
- memset(ssr_overlap[ch], 0, 2*frame_len*sizeof(real_t));
- }
- if (prev_fmd[ch] == NULL)
- {
- uint16_t k;
- prev_fmd[ch] = (real_t*)malloc(2*frame_len*sizeof(real_t));
- for (k = 0; k < 2*frame_len; k++)
- prev_fmd[ch][k] = REAL_CONST(-1);
- }
-
- ssr_decode(&(ics->ssr), fb, ics->window_sequence, ics->window_shape,
- window_shape_prev[ch], spec_coef[ch], time_out[ch],
- ssr_overlap[ch], hDecoder->ipqf_buffer[ch], prev_fmd[ch], frame_len);
- }
-#endif
- /* save window shape for next frame */
- window_shape_prev[ch] = ics->window_shape;
-
-#ifdef LTP_DEC
- if ((object_type == LTP)
-#ifdef ERROR_RESILIENCE
- || (object_type == ER_LTP)
-#endif
-#ifdef LD_DEC
- || (object_type == LD)
-#endif
- )
- {
- lt_update_state(lt_pred_stat[ch], time_out[ch], time_out[ch]+frame_len,
- frame_len, object_type);
- }
-#endif
- }
-
#ifdef SBR_DEC
if ((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
{
- for (i = 0; i < ch_ele; i++)
- {
- /* following case can happen when forceUpSampling == 1 */
- if (hDecoder->sbr[i] == NULL)
- {
- hDecoder->sbr[i] = sbrDecodeInit(hDecoder->frameLength
-#ifdef DRM
- , 0
-#endif
- );
- hDecoder->sbr[i]->data = NULL;
- hDecoder->sbr[i]->data_size = 0;
- }
+ uint8_t ele;
- if (syntax_elements[i]->paired_channel != -1)
- {
- memcpy(time_out2[syntax_elements[i]->channel],
- time_out[syntax_elements[i]->channel], frame_len*sizeof(real_t));
- memcpy(time_out2[syntax_elements[i]->paired_channel],
- time_out[syntax_elements[i]->paired_channel], frame_len*sizeof(real_t));
- sbrDecodeFrame(hDecoder->sbr[i],
- time_out2[syntax_elements[i]->channel],
- time_out2[syntax_elements[i]->paired_channel], ID_CPE,
- hDecoder->postSeekResetFlag, hDecoder->forceUpSampling);
- } else {
- memcpy(time_out2[syntax_elements[i]->channel],
- time_out[syntax_elements[i]->channel], frame_len*sizeof(real_t));
- sbrDecodeFrame(hDecoder->sbr[i],
- time_out2[syntax_elements[i]->channel],
- NULL, ID_SCE,
- hDecoder->postSeekResetFlag, hDecoder->forceUpSampling);
- }
- }
+ /* this data is different when SBR is used or when the data is upsampled */
frame_len *= 2;
hInfo->samples *= 2;
hInfo->samplerate *= 2;
+
+ /* check if every element was provided with SBR data */
+ for (ele = 0; ele < hDecoder->fr_ch_ele; ele++)
+ {
+ if (hDecoder->sbr[ele] == NULL)
+ {
+ hInfo->error = 25;
+ goto error;
+ }
+ }
+
/* sbr */
if (hDecoder->sbr_present_flag == 1)
{
@@ -1154,22 +923,18 @@
} else {
hInfo->sbr = NO_SBR_UPSAMPLED;
}
-
- sample_buffer = output_to_PCM(hDecoder, time_out2, sample_buffer,
- output_channels, frame_len, outputFormat);
- } else {
-#endif
- sample_buffer = output_to_PCM(hDecoder, time_out, sample_buffer,
- output_channels, frame_len, outputFormat);
-#ifdef SBR_DEC
}
#endif
+ sample_buffer = output_to_PCM(hDecoder, hDecoder->time_out, sample_buffer,
+ output_channels, frame_len, hDecoder->config.outputFormat);
+
+
hDecoder->postSeekResetFlag = 0;
hDecoder->frame++;
#ifdef LD_DEC
- if (object_type != LD)
+ if (hDecoder->object_type != LD)
{
#endif
if (hDecoder->frame <= 1)
@@ -1183,38 +948,22 @@
#endif
/* cleanup */
- for (ch = 0; ch < channels; ch++)
- {
- if (spec_coef[ch]) free(spec_coef[ch]);
- }
-
- for (i = 0; i < ch_ele; i++)
- {
- if (syntax_elements[i]) free(syntax_elements[i]);
- }
-
#ifdef ANALYSIS
fflush(stdout);
#endif
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ hDecoder->cycles += count;
+#endif
+
return sample_buffer;
error:
- /* free all memory that could have been allocated */
- faad_endbits(ld);
- if (ld) free(ld);
- /* cleanup */
- for (ch = 0; ch < channels; ch++)
- {
- if (spec_coef[ch]) free(spec_coef[ch]);
- }
-
- for (i = 0; i < ch_ele; i++)
- {
- if (syntax_elements[i]) free(syntax_elements[i]);
- }
+ faad_endbits(&ld);
+ /* cleanup */
#ifdef ANALYSIS
fflush(stdout);
#endif
Index: decoder.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/decoder.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- decoder.h 3 Oct 2003 22:22:27 -0000 1.2
+++ decoder.h 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -57,12 +57,6 @@
#define FAAD_FMT_32BIT 3
#define FAAD_FMT_FLOAT 4
#define FAAD_FMT_DOUBLE 5
-#define FAAD_FMT_16BIT_DITHER 6
-#define FAAD_FMT_16BIT_L_SHAPE 7
-#define FAAD_FMT_16BIT_M_SHAPE 8
-#define FAAD_FMT_16BIT_H_SHAPE 9
-
-#define FAAD_FMT_DITHER_LOWEST FAAD_FMT_16BIT_DITHER
#define LC_DEC_CAP (1<<0)
#define MAIN_DEC_CAP (1<<1)
@@ -84,9 +78,9 @@
int8_t* FAADAPI faacDecGetErrorMessage(uint8_t errcode);
-uint32_t FAADAPI faacDecGetCapabilities();
+uint32_t FAADAPI faacDecGetCapabilities(void);
-faacDecHandle FAADAPI faacDecOpen();
+faacDecHandle FAADAPI faacDecOpen(void);
faacDecConfigurationPtr FAADAPI faacDecGetCurrentConfiguration(faacDecHandle hDecoder);
@@ -118,16 +112,6 @@
uint8_t *buffer,
uint32_t buffer_size);
-element *decode_sce_lfe(faacDecHandle hDecoder,
- faacDecFrameInfo *hInfo, bitfile *ld,
- real_t **spec_coef, uint8_t id_syn_ele);
-element *decode_cpe(faacDecHandle hDecoder,
- faacDecFrameInfo *hInfo, bitfile *ld,
- real_t **spec_coef, uint8_t id_syn_ele);
-element **raw_data_block(faacDecHandle hDecoder, faacDecFrameInfo *hInfo,
- bitfile *ld, element **elements,
- real_t **spec_coef, program_config *pce, drc_info *drc);
-
#ifdef _WIN32
#pragma pack(pop)
#endif
Index: drc.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/drc.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- drc.c 3 Oct 2003 22:22:27 -0000 1.2
+++ drc.c 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -35,7 +35,7 @@
drc_info *drc_init(real_t cut, real_t boost)
{
- drc_info *drc = (drc_info*)malloc(sizeof(drc_info));
+ drc_info *drc = (drc_info*)faad_malloc(sizeof(drc_info));
memset(drc, 0, sizeof(drc_info));
drc->ctrl1 = cut;
@@ -51,7 +51,7 @@
void drc_end(drc_info *drc)
{
- if (drc) free(drc);
+ if (drc) faad_free(drc);
}
#ifdef FIXED_POINT
@@ -153,14 +153,14 @@
{
spec[i] >>= -exp;
if (frac)
- spec[i] = MUL(spec[i],drc_pow2_table[frac+23]);
+ spec[i] = MUL_R(spec[i],drc_pow2_table[frac+23]);
}
} else {
for (i = bottom; i < top; i++)
{
spec[i] <<= exp;
if (frac)
- spec[i] = MUL(spec[i],drc_pow2_table[frac+23]);
+ spec[i] = MUL_R(spec[i],drc_pow2_table[frac+23]);
}
}
#endif
Index: drc.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/drc.h,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- drc.h 30 Aug 2003 22:30:21 -0000 1.1
+++ drc.h 2 Jun 2004 22:59:02 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: error.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/error.c,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- error.c 30 Aug 2003 22:30:21 -0000 1.1
+++ error.c 2 Jun 2004 22:59:02 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -28,7 +28,7 @@
#include "common.h"
#include "error.h"
-extern int8_t *err_msg[] = {
+int8_t *err_msg[] = {
"No error",
"Gain control not yet implemented",
"Pulse coding not allowed in short blocks",
@@ -41,9 +41,19 @@
"Error decoding huffman scalefactor (bitstream error)",
"Error decoding huffman codeword (bitstream error)",
"Non existent huffman codebook number found",
- "Maximum number of channels exceeded",
+ "Invalid number of channels",
"Maximum number of bitstream elements exceeded",
"Input data buffer too small",
"Array index out of range",
- "Maximum number of scalefactor bands exceeded"
-};
\ No newline at end of file
+ "Maximum number of scalefactor bands exceeded",
+ "Quantised value out of range",
+ "LTP lag out of range",
+ "Invalid SBR parameter decoded",
+ "SBR called without being initialised",
+ "Unexpected channel configuration change",
+ "Error in program_config_element",
+ "First SBR frame is not the same as first AAC frame",
+ "Unexpected fill element with SBR data",
+ "Not all elements were provided with SBR data"
+};
+
Index: error.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/error.h,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- error.h 30 Aug 2003 22:30:21 -0000 1.1
+++ error.h 2 Jun 2004 22:59:02 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,7 +32,7 @@
extern "C" {
#endif
-#define NUM_ERROR_MESSAGES 17
+#define NUM_ERROR_MESSAGES 26
extern int8_t *err_msg[];
#ifdef __cplusplus
Index: faad.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/faad.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- faad.h 3 Oct 2003 22:22:27 -0000 1.2
+++ faad.h 2 Jun 2004 22:59:02 -0000 1.3
@@ -43,7 +43,7 @@
#endif
#endif
-#define FAAD2_VERSION "2.0 RC1 "
+#define FAAD2_VERSION "2.0"
/* object types for AAC */
#define MAIN 1
Index: filtbank.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/filtbank.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- filtbank.c 3 Oct 2003 22:22:27 -0000 1.2
+++ filtbank.c 2 Jun 2004 22:59:02 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -51,7 +51,7 @@
uint16_t frame_len_ld = frame_len/2;
#endif
- fb_info *fb = (fb_info*)malloc(sizeof(fb_info));
+ fb_info *fb = (fb_info*)faad_malloc(sizeof(fb_info));
memset(fb, 0, sizeof(fb_info));
/* normal */
@@ -62,8 +62,10 @@
fb->mdct1024 = faad_mdct_init(2*frame_len_ld);
#endif
+#ifdef ALLOW_SMALL_FRAMELENGTH
if (frame_len == 1024)
{
+#endif
fb->long_window[0] = sine_long_1024;
fb->short_window[0] = sine_short_128;
fb->long_window[1] = kbd_long_1024;
@@ -72,6 +74,7 @@
fb->ld_window[0] = sine_mid_512;
fb->ld_window[1] = ld_mid_512;
#endif
+#ifdef ALLOW_SMALL_FRAMELENGTH
} else /* (frame_len == 960) */ {
fb->long_window[0] = sine_long_960;
fb->short_window[0] = sine_short_120;
@@ -82,6 +85,16 @@
fb->ld_window[1] = ld_mid_480;
#endif
}
+#endif
+
+#ifdef USE_SSE
+ if (cpu_has_sse())
+ {
+ fb->if_func = ifilter_bank_sse;
+ } else {
+ fb->if_func = ifilter_bank;
+ }
+#endif
return fb;
}
@@ -90,19 +103,24 @@
{
if (fb != NULL)
{
+#ifdef PROFILE
+ printf("FB: %I64d cycles\n", fb->cycles);
+#endif
+
faad_mdct_end(fb->mdct256);
faad_mdct_end(fb->mdct2048);
#ifdef LD_DEC
faad_mdct_end(fb->mdct1024);
#endif
- free(fb);
+ faad_free(fb);
}
}
-static INLINE void imdct(fb_info *fb, real_t *in_data, real_t *out_data, uint16_t len)
+static INLINE void imdct_long(fb_info *fb, real_t *in_data, real_t *out_data, uint16_t len)
{
- mdct_info *mdct;
+#ifdef LD_DEC
+ mdct_info *mdct = NULL;
switch (len)
{
@@ -110,25 +128,47 @@
case 1920:
mdct = fb->mdct2048;
break;
- case 256:
- case 240:
- mdct = fb->mdct256;
+ case 1024:
+ case 960:
+ mdct = fb->mdct1024;
break;
+ }
+
+ faad_imdct(mdct, in_data, out_data);
+#else
+ faad_imdct(fb->mdct2048, in_data, out_data);
+#endif
+}
+
+#ifdef USE_SSE
+static INLINE void imdct_long_sse(fb_info *fb, real_t *in_data, real_t *out_data, uint16_t len)
+{
#ifdef LD_DEC
+ mdct_info *mdct = NULL;
+
+ switch (len)
+ {
+ case 2048:
+ case 1920:
+ mdct = fb->mdct2048;
+ break;
case 1024:
case 960:
mdct = fb->mdct1024;
break;
-#endif
}
- faad_imdct(mdct, in_data, out_data);
+ faad_imdct_sse(mdct, in_data, out_data);
+#else
+ faad_imdct_sse(fb->mdct2048, in_data, out_data);
+#endif
}
+#endif
#ifdef LTP_DEC
static INLINE void mdct(fb_info *fb, real_t *in_data, real_t *out_data, uint16_t len)
{
- mdct_info *mdct;
+ mdct_info *mdct = NULL;
switch (len)
{
@@ -154,15 +194,16 @@
void ifilter_bank(fb_info *fb, uint8_t window_sequence, uint8_t window_shape,
uint8_t window_shape_prev, real_t *freq_in,
- real_t *time_out, uint8_t object_type, uint16_t frame_len)
+ real_t *time_out, real_t *overlap,
+ uint8_t object_type, uint16_t frame_len)
{
int16_t i;
- real_t *transf_buf;
+ ALIGN real_t transf_buf[2*1024] = {0};
- real_t *window_long;
- real_t *window_long_prev;
- real_t *window_short;
- real_t *window_short_prev;
+ const real_t *window_long = NULL;
+ const real_t *window_long_prev = NULL;
+ const real_t *window_short = NULL;
+ const real_t *window_short_prev = NULL;
uint16_t nlong = frame_len;
uint16_t nshort = frame_len/8;
@@ -170,7 +211,9 @@
uint16_t nflat_ls = (nlong-nshort)/2;
- transf_buf = (real_t*)malloc(2*nlong*sizeof(real_t));
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
#ifdef LD_DEC
if (object_type == LD)
@@ -187,89 +230,425 @@
}
#endif
+
switch (window_sequence)
{
case ONLY_LONG_SEQUENCE:
- imdct(fb, freq_in, transf_buf, 2*nlong);
+ imdct_long(fb, freq_in, transf_buf, 2*nlong);
for (i = 0; i < nlong; i+=4)
{
- time_out[i] = time_out[nlong+i] + MUL_R_C(transf_buf[i],window_long_prev[i]);
- time_out[i+1] = time_out[nlong+i+1] + MUL_R_C(transf_buf[i+1],window_long_prev[i+1]);
- time_out[i+2] = time_out[nlong+i+2] + MUL_R_C(transf_buf[i+2],window_long_prev[i+2]);
- time_out[i+3] = time_out[nlong+i+3] + MUL_R_C(transf_buf[i+3],window_long_prev[i+3]);
+ time_out[i] = overlap[i] + MUL_F(transf_buf[i],window_long_prev[i]);
+ time_out[i+1] = overlap[i+1] + MUL_F(transf_buf[i+1],window_long_prev[i+1]);
+ time_out[i+2] = overlap[i+2] + MUL_F(transf_buf[i+2],window_long_prev[i+2]);
+ time_out[i+3] = overlap[i+3] + MUL_F(transf_buf[i+3],window_long_prev[i+3]);
}
for (i = 0; i < nlong; i+=4)
{
- time_out[nlong+i] = MUL_R_C(transf_buf[nlong+i],window_long[nlong-1-i]);
- time_out[nlong+i+1] = MUL_R_C(transf_buf[nlong+i+1],window_long[nlong-2-i]);
- time_out[nlong+i+2] = MUL_R_C(transf_buf[nlong+i+2],window_long[nlong-3-i]);
- time_out[nlong+i+3] = MUL_R_C(transf_buf[nlong+i+3],window_long[nlong-4-i]);
+ overlap[i] = MUL_F(transf_buf[nlong+i],window_long[nlong-1-i]);
+ overlap[i+1] = MUL_F(transf_buf[nlong+i+1],window_long[nlong-2-i]);
+ overlap[i+2] = MUL_F(transf_buf[nlong+i+2],window_long[nlong-3-i]);
+ overlap[i+3] = MUL_F(transf_buf[nlong+i+3],window_long[nlong-4-i]);
}
break;
case LONG_START_SEQUENCE:
- imdct(fb, freq_in, transf_buf, 2*nlong);
+ imdct_long(fb, freq_in, transf_buf, 2*nlong);
for (i = 0; i < nlong; i+=4)
{
- time_out[i] = time_out[nlong+i] + MUL_R_C(transf_buf[i],window_long_prev[i]);
- time_out[i+1] = time_out[nlong+i+1] + MUL_R_C(transf_buf[i+1],window_long_prev[i+1]);
- time_out[i+2] = time_out[nlong+i+2] + MUL_R_C(transf_buf[i+2],window_long_prev[i+2]);
- time_out[i+3] = time_out[nlong+i+3] + MUL_R_C(transf_buf[i+3],window_long_prev[i+3]);
+ time_out[i] = overlap[i] + MUL_F(transf_buf[i],window_long_prev[i]);
+ time_out[i+1] = overlap[i+1] + MUL_F(transf_buf[i+1],window_long_prev[i+1]);
+ time_out[i+2] = overlap[i+2] + MUL_F(transf_buf[i+2],window_long_prev[i+2]);
+ time_out[i+3] = overlap[i+3] + MUL_F(transf_buf[i+3],window_long_prev[i+3]);
}
for (i = 0; i < nflat_ls; i++)
- time_out[nlong+i] = transf_buf[nlong+i];
+ overlap[i] = transf_buf[nlong+i];
for (i = 0; i < nshort; i++)
- time_out[nlong+nflat_ls+i] = MUL_R_C(transf_buf[nlong+nflat_ls+i],window_short[nshort-i-1]);
+ overlap[nflat_ls+i] = MUL_F(transf_buf[nlong+nflat_ls+i],window_short[nshort-i-1]);
for (i = 0; i < nflat_ls; i++)
- time_out[nlong+nflat_ls+nshort+i] = 0;
+ overlap[nflat_ls+nshort+i] = 0;
break;
case EIGHT_SHORT_SEQUENCE:
- imdct(fb, freq_in+0*nshort, transf_buf+2*nshort*0, 2*nshort);
- imdct(fb, freq_in+1*nshort, transf_buf+2*nshort*1, 2*nshort);
- imdct(fb, freq_in+2*nshort, transf_buf+2*nshort*2, 2*nshort);
- imdct(fb, freq_in+3*nshort, transf_buf+2*nshort*3, 2*nshort);
- imdct(fb, freq_in+4*nshort, transf_buf+2*nshort*4, 2*nshort);
- imdct(fb, freq_in+5*nshort, transf_buf+2*nshort*5, 2*nshort);
- imdct(fb, freq_in+6*nshort, transf_buf+2*nshort*6, 2*nshort);
- imdct(fb, freq_in+7*nshort, transf_buf+2*nshort*7, 2*nshort);
+ faad_imdct(fb->mdct256, freq_in+0*nshort, transf_buf+2*nshort*0);
+ faad_imdct(fb->mdct256, freq_in+1*nshort, transf_buf+2*nshort*1);
+ faad_imdct(fb->mdct256, freq_in+2*nshort, transf_buf+2*nshort*2);
+ faad_imdct(fb->mdct256, freq_in+3*nshort, transf_buf+2*nshort*3);
+ faad_imdct(fb->mdct256, freq_in+4*nshort, transf_buf+2*nshort*4);
+ faad_imdct(fb->mdct256, freq_in+5*nshort, transf_buf+2*nshort*5);
+ faad_imdct(fb->mdct256, freq_in+6*nshort, transf_buf+2*nshort*6);
+ faad_imdct(fb->mdct256, freq_in+7*nshort, transf_buf+2*nshort*7);
for (i = 0; i < nflat_ls; i++)
- time_out[i] = time_out[nlong+i];
- for(i = nshort-1; i >= 0; i--)
+ time_out[i] = overlap[i];
+ for(i = 0; i < nshort; i++)
{
- time_out[nflat_ls+ i] = time_out[nlong+nflat_ls+ i] + MUL_R_C(transf_buf[nshort*0+i],window_short_prev[i]);
- time_out[nflat_ls+1*nshort+i] = time_out[nlong+nflat_ls+nshort*1+i] + MUL_R_C(transf_buf[nshort*1+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*2+i],window_short[i]);
- time_out[nflat_ls+2*nshort+i] = time_out[nlong+nflat_ls+nshort*2+i] + MUL_R_C(transf_buf[nshort*3+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*4+i],window_short[i]);
- time_out[nflat_ls+3*nshort+i] = time_out[nlong+nflat_ls+nshort*3+i] + MUL_R_C(transf_buf[nshort*5+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*6+i],window_short[i]);
+ time_out[nflat_ls+ i] = overlap[nflat_ls+ i] + MUL_F(transf_buf[nshort*0+i],window_short_prev[i]);
+ time_out[nflat_ls+1*nshort+i] = overlap[nflat_ls+nshort*1+i] + MUL_F(transf_buf[nshort*1+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*2+i],window_short[i]);
+ time_out[nflat_ls+2*nshort+i] = overlap[nflat_ls+nshort*2+i] + MUL_F(transf_buf[nshort*3+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*4+i],window_short[i]);
+ time_out[nflat_ls+3*nshort+i] = overlap[nflat_ls+nshort*3+i] + MUL_F(transf_buf[nshort*5+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*6+i],window_short[i]);
if (i < trans)
- time_out[nflat_ls+4*nshort+i] = time_out[nlong+nflat_ls+nshort*4+i] + MUL_R_C(transf_buf[nshort*7+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*8+i],window_short[i]);
- else
- time_out[nflat_ls+4*nshort+i] = MUL_R_C(transf_buf[nshort*7+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*8+i],window_short[i]);
- time_out[nflat_ls+5*nshort+i] = MUL_R_C(transf_buf[nshort*9+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*10+i],window_short[i]);
- time_out[nflat_ls+6*nshort+i] = MUL_R_C(transf_buf[nshort*11+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*12+i],window_short[i]);
- time_out[nflat_ls+7*nshort+i] = MUL_R_C(transf_buf[nshort*13+i],window_short[nshort-1-i]) + MUL_R_C(transf_buf[nshort*14+i],window_short[i]);
- time_out[nflat_ls+8*nshort+i] = MUL_R_C(transf_buf[nshort*15+i],window_short[nshort-1-i]);
+ time_out[nflat_ls+4*nshort+i] = overlap[nflat_ls+nshort*4+i] + MUL_F(transf_buf[nshort*7+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*8+i],window_short[i]);
+ }
+ for(i = 0; i < nshort; i++)
+ {
+ if (i >= trans)
+ overlap[nflat_ls+4*nshort+i-nlong] = MUL_F(transf_buf[nshort*7+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*8+i],window_short[i]);
+ overlap[nflat_ls+5*nshort+i-nlong] = MUL_F(transf_buf[nshort*9+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*10+i],window_short[i]);
+ overlap[nflat_ls+6*nshort+i-nlong] = MUL_F(transf_buf[nshort*11+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*12+i],window_short[i]);
+ overlap[nflat_ls+7*nshort+i-nlong] = MUL_F(transf_buf[nshort*13+i],window_short[nshort-1-i]) + MUL_F(transf_buf[nshort*14+i],window_short[i]);
+ overlap[nflat_ls+8*nshort+i-nlong] = MUL_F(transf_buf[nshort*15+i],window_short[nshort-1-i]);
}
for (i = 0; i < nflat_ls; i++)
- time_out[nlong+nflat_ls+nshort+i] = 0;
+ overlap[nflat_ls+nshort+i] = 0;
break;
case LONG_STOP_SEQUENCE:
- imdct(fb, freq_in, transf_buf, 2*nlong);
+ imdct_long(fb, freq_in, transf_buf, 2*nlong);
for (i = 0; i < nflat_ls; i++)
- time_out[i] = time_out[nlong+i];
+ time_out[i] = overlap[i];
for (i = 0; i < nshort; i++)
- time_out[nflat_ls+i] = time_out[nlong+nflat_ls+i] + MUL_R_C(transf_buf[nflat_ls+i],window_short_prev[i]);
+ time_out[nflat_ls+i] = overlap[nflat_ls+i] + MUL_F(transf_buf[nflat_ls+i],window_short_prev[i]);
for (i = 0; i < nflat_ls; i++)
- time_out[nflat_ls+nshort+i] = time_out[nlong+nflat_ls+nshort+i] + transf_buf[nflat_ls+nshort+i];
+ time_out[nflat_ls+nshort+i] = overlap[nflat_ls+nshort+i] + transf_buf[nflat_ls+nshort+i];
for (i = 0; i < nlong; i++)
- time_out[nlong+i] = MUL_R_C(transf_buf[nlong+i],window_long[nlong-1-i]);
+ overlap[i] = MUL_F(transf_buf[nlong+i],window_long[nlong-1-i]);
break;
}
- free(transf_buf);
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ fb->cycles += count;
+#endif
}
+#ifdef USE_SSE
+void ifilter_bank_sse(fb_info *fb, uint8_t window_sequence, uint8_t window_shape,
+ uint8_t window_shape_prev, real_t *freq_in,
+ real_t *time_out, uint8_t object_type, uint16_t frame_len)
+{
+ int16_t i;
+ ALIGN real_t transf_buf[2*1024] = {0};
+
+ const real_t *window_long = NULL;
+ const real_t *window_long_prev = NULL;
+ const real_t *window_short = NULL;
+ const real_t *window_short_prev = NULL;
+
+ uint16_t nlong = frame_len;
+ uint16_t nshort = frame_len/8;
+ uint16_t trans = nshort/2;
+
+ uint16_t nflat_ls = (nlong-nshort)/2;
+
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
+
+#ifdef LD_DEC
+ if (object_type == LD)
+ {
+ window_long = fb->ld_window[window_shape];
+ window_long_prev = fb->ld_window[window_shape_prev];
+ } else {
+#endif
+ window_long = fb->long_window[window_shape];
+ window_long_prev = fb->long_window[window_shape_prev];
+ window_short = fb->short_window[window_shape];
+ window_short_prev = fb->short_window[window_shape_prev];
+#ifdef LD_DEC
+ }
+#endif
+
+ switch (window_sequence)
+ {
+ case ONLY_LONG_SEQUENCE:
+ imdct_long_sse(fb, freq_in, transf_buf, 2*nlong);
+ for (i = 0; i < nlong; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+
+ m1 = _mm_load_ps(&transf_buf[i]);
+ m2 = _mm_load_ps(&window_long_prev[i]);
+ m6 = _mm_load_ps(&window_long[nlong-4-i]);
+ m3 = _mm_load_ps(&time_out[nlong+i]);
+ m5 = _mm_load_ps(&transf_buf[nlong+i]);
+
+ m4 = _mm_mul_ps(m1, m2);
+ m7 = _mm_shuffle_ps(m6, m6, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_add_ps(m4, m3);
+ m8 = _mm_mul_ps(m5, m7);
+
+ _mm_store_ps(&time_out[i], m4);
+ _mm_store_ps(&time_out[nlong+i], m8);
+ }
+ break;
+
+ case LONG_START_SEQUENCE:
+ imdct_long_sse(fb, freq_in, transf_buf, 2*nlong);
+ for (i = 0; i < nlong; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[i]);
+ __m128 m2 = _mm_load_ps(&window_long_prev[i]);
+ __m128 m3 = _mm_load_ps(&time_out[nlong+i]);
+
+ __m128 m4 = _mm_mul_ps(m1, m2);
+ m4 = _mm_add_ps(m4, m3);
+
+ _mm_store_ps(&time_out[i], m4);
+ }
+ for (i = 0; i < nflat_ls; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[nlong+i]);
+ _mm_store_ps(&time_out[nlong+i], m1);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[nlong+nflat_ls+i]);
+ __m128 m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ __m128 m3, m4;
+
+ m3 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m3);
+
+ _mm_store_ps(&time_out[nlong+nflat_ls+i], m4);
+ }
+ for (i = 0; i < nflat_ls; i+=4)
+ {
+ __m128 m1 = _mm_setzero_ps();
+ _mm_store_ps(&time_out[nlong+nflat_ls+nshort+i], m1);
+ }
+ break;
+
+ case EIGHT_SHORT_SEQUENCE:
+ faad_imdct_sse(fb->mdct256, &freq_in[0*nshort], &transf_buf[2*nshort*0]);
+ faad_imdct_sse(fb->mdct256, &freq_in[1*nshort], &transf_buf[2*nshort*1]);
+ faad_imdct_sse(fb->mdct256, &freq_in[2*nshort], &transf_buf[2*nshort*2]);
+ faad_imdct_sse(fb->mdct256, &freq_in[3*nshort], &transf_buf[2*nshort*3]);
+ faad_imdct_sse(fb->mdct256, &freq_in[4*nshort], &transf_buf[2*nshort*4]);
+ faad_imdct_sse(fb->mdct256, &freq_in[5*nshort], &transf_buf[2*nshort*5]);
+ faad_imdct_sse(fb->mdct256, &freq_in[6*nshort], &transf_buf[2*nshort*6]);
+ faad_imdct_sse(fb->mdct256, &freq_in[7*nshort], &transf_buf[2*nshort*7]);
+ for (i = 0; i < nflat_ls; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&time_out[nlong+i]);
+ _mm_store_ps(&time_out[i], m1);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[nshort*0+i]);
+ __m128 m2 = _mm_load_ps(&window_short_prev[i]);
+ __m128 m3 = _mm_load_ps(&time_out[nlong+nflat_ls+i]);
+
+ __m128 m4 = _mm_mul_ps(m1, m2);
+ m4 = _mm_add_ps(m4, m3);
+
+ _mm_store_ps(&time_out[nflat_ls+i], m4);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*1+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m3 = _mm_load_ps(&time_out[nlong+nflat_ls+nshort*1+i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*2+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m4 = _mm_add_ps(m4, m3);
+ m4 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+1*nshort+i], m4);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*3+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m3 = _mm_load_ps(&time_out[nlong+nflat_ls+nshort*2+i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*4+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m4 = _mm_add_ps(m4, m3);
+ m4 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+2*nshort+i], m4);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*5+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m3 = _mm_load_ps(&time_out[nlong+nflat_ls+nshort*3+i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*6+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m4 = _mm_add_ps(m4, m3);
+ m4 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+3*nshort+i], m4);
+ }
+ for(i = 0; i < trans; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*7+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m3 = _mm_load_ps(&time_out[nlong+nflat_ls+nshort*4+i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*8+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m4 = _mm_add_ps(m4, m3);
+ m4 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+4*nshort+i], m4);
+ }
+ for (i = trans; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*7+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*8+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m3 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+4*nshort+i], m3);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*9+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*10+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m3 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+5*nshort+i], m3);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*11+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*12+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m3 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+6*nshort+i], m3);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m4, m5, m6, m7, m8;
+ m1 = _mm_load_ps(&transf_buf[nshort*13+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+ m6 = _mm_load_ps(&transf_buf[nshort*14+i]);
+ m7 = _mm_load_ps(&window_short[i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m5);
+ m8 = _mm_mul_ps(m6, m7);
+ m3 = _mm_add_ps(m4, m8);
+
+ _mm_store_ps(&time_out[nflat_ls+7*nshort+i], m3);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1, m2, m3, m5;
+ m1 = _mm_load_ps(&transf_buf[nshort*15+i]);
+ m2 = _mm_load_ps(&window_short[nshort-4-i]);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m3 = _mm_mul_ps(m1, m5);
+
+ _mm_store_ps(&time_out[nflat_ls+8*nshort+i], m3);
+ }
+ for (i = 0; i < nflat_ls; i+=4)
+ {
+ __m128 m1 = _mm_setzero_ps();
+ _mm_store_ps(&time_out[nlong+nflat_ls+nshort+i], m1);
+ }
+ break;
+
+ case LONG_STOP_SEQUENCE:
+ imdct_long_sse(fb, freq_in, transf_buf, 2*nlong);
+ for (i = 0; i < nflat_ls; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&time_out[nlong+i]);
+ _mm_store_ps(&time_out[i], m1);
+ }
+ for (i = 0; i < nshort; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[nflat_ls+i]);
+ __m128 m2 = _mm_load_ps(&window_short_prev[i]);
+ __m128 m3 = _mm_load_ps(&time_out[nlong+nflat_ls+i]);
+
+ __m128 m4 = _mm_mul_ps(m1, m2);
+ m4 = _mm_add_ps(m4, m3);
+
+ _mm_store_ps(&time_out[nflat_ls+i], m4);
+ }
+ for (i = 0; i < nflat_ls; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[nflat_ls+nshort+i]);
+ __m128 m2 = _mm_load_ps(&time_out[nlong+nflat_ls+nshort+i]);
+
+ __m128 m3 = _mm_add_ps(m1, m2);
+
+ _mm_store_ps(&time_out[nflat_ls+nshort+i], m3);
+ }
+ for (i = 0; i < nlong; i+=4)
+ {
+ __m128 m1 = _mm_load_ps(&transf_buf[nlong+i]);
+ __m128 m2 = _mm_load_ps(&window_long[nlong-4-i]);
+ __m128 m3, m4;
+
+ m3 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(0, 1, 2, 3));
+
+ m4 = _mm_mul_ps(m1, m3);
+
+ _mm_store_ps(&time_out[nlong+i], m4);
+ }
+ break;
+ }
+
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ fb->cycles += count;
+#endif
+}
+#endif
+
#ifdef LTP_DEC
/* only works for LTP -> no overlapping, no short blocks */
void filter_bank_ltp(fb_info *fb, uint8_t window_sequence, uint8_t window_shape,
@@ -277,12 +656,12 @@
uint8_t object_type, uint16_t frame_len)
{
int16_t i;
- real_t *windowed_buf;
+ ALIGN real_t windowed_buf[2*1024] = {0};
- real_t *window_long;
- real_t *window_long_prev;
- real_t *window_short;
- real_t *window_short_prev;
+ const real_t *window_long = NULL;
+ const real_t *window_long_prev = NULL;
+ const real_t *window_short = NULL;
+ const real_t *window_short_prev = NULL;
uint16_t nlong = frame_len;
uint16_t nshort = frame_len/8;
@@ -290,8 +669,6 @@
assert(window_sequence != EIGHT_SHORT_SEQUENCE);
- windowed_buf = (real_t*)malloc(nlong*2*sizeof(real_t));
-
#ifdef LD_DEC
if (object_type == LD)
{
@@ -312,19 +689,19 @@
case ONLY_LONG_SEQUENCE:
for (i = nlong-1; i >= 0; i--)
{
- windowed_buf[i] = MUL_R_C(in_data[i], window_long_prev[i]);
- windowed_buf[i+nlong] = MUL_R_C(in_data[i+nlong], window_long[nlong-1-i]);
+ windowed_buf[i] = MUL_F(in_data[i], window_long_prev[i]);
+ windowed_buf[i+nlong] = MUL_F(in_data[i+nlong], window_long[nlong-1-i]);
}
mdct(fb, windowed_buf, out_mdct, 2*nlong);
break;
case LONG_START_SEQUENCE:
for (i = 0; i < nlong; i++)
- windowed_buf[i] = MUL_R_C(in_data[i], window_long_prev[i]);
+ windowed_buf[i] = MUL_F(in_data[i], window_long_prev[i]);
for (i = 0; i < nflat_ls; i++)
windowed_buf[i+nlong] = in_data[i+nlong];
for (i = 0; i < nshort; i++)
- windowed_buf[i+nlong+nflat_ls] = MUL_R_C(in_data[i+nlong+nflat_ls], window_short[nshort-1-i]);
+ windowed_buf[i+nlong+nflat_ls] = MUL_F(in_data[i+nlong+nflat_ls], window_short[nshort-1-i]);
for (i = 0; i < nflat_ls; i++)
windowed_buf[i+nlong+nflat_ls+nshort] = 0;
mdct(fb, windowed_buf, out_mdct, 2*nlong);
@@ -334,15 +711,13 @@
for (i = 0; i < nflat_ls; i++)
windowed_buf[i] = 0;
for (i = 0; i < nshort; i++)
- windowed_buf[i+nflat_ls] = MUL_R_C(in_data[i+nflat_ls], window_short_prev[i]);
+ windowed_buf[i+nflat_ls] = MUL_F(in_data[i+nflat_ls], window_short_prev[i]);
for (i = 0; i < nflat_ls; i++)
windowed_buf[i+nflat_ls+nshort] = in_data[i+nflat_ls+nshort];
for (i = 0; i < nlong; i++)
- windowed_buf[i+nlong] = MUL_R_C(in_data[i+nlong], window_long[nlong-1-i]);
+ windowed_buf[i+nlong] = MUL_F(in_data[i+nlong], window_long[nlong-1-i]);
mdct(fb, windowed_buf, out_mdct, 2*nlong);
break;
}
-
- free(windowed_buf);
}
#endif
Index: filtbank.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/filtbank.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- filtbank.h 3 Oct 2003 22:22:27 -0000 1.2
+++ filtbank.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -47,14 +47,16 @@
uint16_t frame_len);
#endif
-void ifilter_bank(fb_info *fb,
- uint8_t window_sequence,
- uint8_t window_shape,
- uint8_t window_shape_prev,
- real_t *freq_in,
- real_t *time_out,
- uint8_t object_type,
- uint16_t frame_len);
+void ifilter_bank(fb_info *fb, uint8_t window_sequence, uint8_t window_shape,
+ uint8_t window_shape_prev, real_t *freq_in,
+ real_t *time_out, real_t *overlap,
+ uint8_t object_type, uint16_t frame_len);
+
+#ifdef USE_SSE
+void ifilter_bank_sse(fb_info *fb, uint8_t window_sequence, uint8_t window_shape,
+ uint8_t window_shape_prev, real_t *freq_in,
+ real_t *time_out, uint8_t object_type, uint16_t frame_len);
+#endif
#ifdef __cplusplus
}
Index: fixed.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/fixed.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- fixed.h 3 Oct 2003 22:22:27 -0000 1.2
+++ fixed.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,113 +32,164 @@
extern "C" {
#endif
+#ifdef _WIN32_WCE
+#include <cmnintrin.h>
+#endif
#define COEF_BITS 28
#define COEF_PRECISION (1 << COEF_BITS)
#define REAL_BITS 14 // MAXIMUM OF 14 FOR FIXED POINT SBR
#define REAL_PRECISION (1 << REAL_BITS)
+/* FRAC is the fractional only part of the fixed point number [0.0..1.0) */
+#define FRAC_SIZE 32 /* frac is a 32 bit integer */
+#define FRAC_BITS 31
+#define FRAC_PRECISION ((uint32_t)(1 << FRAC_BITS))
+#define FRAC_MAX 0x7FFFFFFF
typedef int32_t real_t;
-#define REAL_CONST(A) ((real_t)((A)*(REAL_PRECISION)))
-#define COEF_CONST(A) ((real_t)((A)*(COEF_PRECISION)))
+#define REAL_CONST(A) (((A) >= 0) ? ((real_t)((A)*(REAL_PRECISION)+0.5)) : ((real_t)((A)*(REAL_PRECISION)-0.5)))
+#define COEF_CONST(A) (((A) >= 0) ? ((real_t)((A)*(COEF_PRECISION)+0.5)) : ((real_t)((A)*(COEF_PRECISION)-0.5)))
+#define FRAC_CONST(A) (((A) == 1.00) ? ((real_t)FRAC_MAX) : (((A) >= 0) ? ((real_t)((A)*(FRAC_PRECISION)+0.5)) : ((real_t)((A)*(FRAC_PRECISION)-0.5))))
#if defined(_WIN32) && !defined(_WIN32_WCE)
-/* multiply real with real */
-static INLINE MUL(real_t A, real_t B)
+/* multiply with real shift */
+static INLINE real_t MUL_R(real_t A, real_t B)
{
_asm {
mov eax,A
imul B
-#if 0
shrd eax,edx,REAL_BITS
-#else
- shr eax,REAL_BITS
- shl edx,(32-REAL_BITS)
- or eax,edx
-#endif
}
}
-/* multiply coef with coef */
-static INLINE MUL_C_C(real_t A, real_t B)
+/* multiply with coef shift */
+static INLINE real_t MUL_C(real_t A, real_t B)
{
_asm {
mov eax,A
imul B
-#if 0
shrd eax,edx,COEF_BITS
-#else
- shr eax,COEF_BITS
- shl edx,(32-COEF_BITS)
- or eax,edx
-#endif
}
}
-/* multiply real with coef */
-static INLINE MUL_R_C(real_t A, real_t B)
+static INLINE real_t _MulHigh(real_t A, real_t B)
{
_asm {
mov eax,A
imul B
-#if 0
- shrd eax,edx,COEF_BITS
-#else
- shr eax,COEF_BITS
- shl edx,(32-COEF_BITS)
- or eax,edx
-#endif
+ mov eax,edx
}
}
+/* multiply with fractional shift */
+static INLINE real_t MUL_F(real_t A, real_t B)
+{
+ return _MulHigh(A,B) << (FRAC_SIZE-FRAC_BITS);
+}
+
+/* Complex multiplication */
+static INLINE void ComplexMult(real_t *y1, real_t *y2,
+ real_t x1, real_t x2, real_t c1, real_t c2)
+{
+ *y1 = (_MulHigh(x1, c1) + _MulHigh(x2, c2))<<(FRAC_SIZE-FRAC_BITS);
+ *y2 = (_MulHigh(x2, c1) - _MulHigh(x1, c2))<<(FRAC_SIZE-FRAC_BITS);
+}
+
#elif defined(__GNUC__) && defined (__arm__)
/* taken from MAD */
#define arm_mul(x, y, SCALEBITS) \
- ({ uint32_t __hi; \
- uint32_t __lo; \
- uint32_t __result; \
- asm ("smull %0, %1, %3, %4\n\t" \
- "movs %0, %0, lsr %5\n\t" \
- "adc %2, %0, %1, lsl %6" \
- : "=&r" (__lo), "=&r" (__hi), "=r" (__result) \
- : "%r" (x), "r" (y), \
- "M" (SCALEBITS), "M" (32 - (SCALEBITS)) \
- : "cc"); \
- __result; \
- })
+({ \
+ uint32_t __hi; \
+ uint32_t __lo; \
+ uint32_t __result; \
+ asm("smull %0, %1, %3, %4\n\t" \
+ "movs %0, %0, lsr %5\n\t" \
+ "adc %2, %0, %1, lsl %6" \
+ : "=&r" (__lo), "=&r" (__hi), "=r" (__result) \
+ : "%r" (x), "r" (y), \
+ "M" (SCALEBITS), "M" (32 - (SCALEBITS)) \
+ : "cc"); \
+ __result; \
+})
+
+static INLINE real_t MUL_R(real_t A, real_t B)
+{
+ return arm_mul(A, B, REAL_BITS);
+}
+
+static INLINE real_t MUL_C(real_t A, real_t B)
+{
+ return arm_mul(A, B, COEF_BITS);
+}
-static INLINE real_t MUL(real_t A, real_t B)
+static INLINE real_t _MulHigh(real_t x, real_t y)
{
- return arm_mul( A, B, REAL_BITS);
+ uint32_t __lo;
+ uint32_t __hi;
+ asm("smull\t%0, %1, %2, %3"
+ : "=&r"(__lo),"=&r"(__hi)
+ : "%r"(x),"r"(y)
+ : "cc");
+ return __hi;
}
-static INLINE real_t MUL_C_C(real_t A, real_t B)
+static INLINE real_t MUL_F(real_t A, real_t B)
{
- return arm_mul( A, B, COEF_BITS);
+ return _MulHigh(A, B) << (FRAC_SIZE-FRAC_BITS);
}
-static INLINE real_t MUL_R_C(real_t A, real_t B)
+/* Complex multiplication */
+static INLINE void ComplexMult(real_t *y1, real_t *y2,
+ real_t x1, real_t x2, real_t c1, real_t c2)
{
- return arm_mul( A, B, COEF_BITS);
+ int32_t tmp, yt1, yt2;
+ asm("smull %0, %1, %4, %6\n\t"
+ "smlal %0, %1, %5, %7\n\t"
+ "rsb %3, %4, #0\n\t"
+ "smull %0, %2, %5, %6\n\t"
+ "smlal %0, %2, %3, %7"
+ : "=&r" (tmp), "=&r" (yt1), "=&r" (yt2), "=r" (x1)
+ : "3" (x1), "r" (x2), "r" (c1), "r" (c2)
+ : "cc" );
+ *y1 = yt1 << (FRAC_SIZE-FRAC_BITS);
+ *y2 = yt2 << (FRAC_SIZE-FRAC_BITS);
}
#else
- /* multiply real with real */
- #define MUL(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (REAL_BITS-1))) >> REAL_BITS)
- /* multiply coef with coef */
- #define MUL_C_C(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (COEF_BITS-1))) >> COEF_BITS)
- /* multiply real with coef */
- #define MUL_R_C(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (COEF_BITS-1))) >> COEF_BITS)
+ /* multiply with real shift */
+ #define MUL_R(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (REAL_BITS-1))) >> REAL_BITS)
+ /* multiply with coef shift */
+ #define MUL_C(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (COEF_BITS-1))) >> COEF_BITS)
+ /* multiply with fractional shift */
+#ifndef _WIN32_WCE
+ #define _MulHigh(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (FRAC_SIZE-1))) >> FRAC_SIZE)
+ #define MUL_F(A,B) (real_t)(((int64_t)(A)*(int64_t)(B)+(1 << (FRAC_BITS-1))) >> FRAC_BITS)
+#else
+ /* eVC for PocketPC has an intrinsic function that returns only the high 32 bits of a 32x32 bit multiply */
+ static INLINE real_t MUL_F(real_t A, real_t B)
+ {
+ return _MulHigh(A,B) << (32-FRAC_BITS);
+ }
+#endif
+
+/* Complex multiplication */
+static INLINE void ComplexMult(real_t *y1, real_t *y2,
+ real_t x1, real_t x2, real_t c1, real_t c2)
+{
+ *y1 = (_MulHigh(x1, c1) + _MulHigh(x2, c2))<<(FRAC_SIZE-FRAC_BITS);
+ *y2 = (_MulHigh(x2, c1) - _MulHigh(x1, c2))<<(FRAC_SIZE-FRAC_BITS);
+}
#endif
+
#ifdef __cplusplus
}
#endif
Index: hcr.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/hcr.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- hcr.c 3 Oct 2003 22:22:27 -0000 1.2
+++ hcr.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2002 A. Kurpiers
+** Copyright (C) 2002-2004 A. Kurpiers
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -25,7 +25,6 @@
** $Id$
**/
-
#include "common.h"
#include "structs.h"
@@ -154,11 +153,10 @@
bits_t Segment[ 512 ];
uint8_t PCW_decoded=0;
- uint16_t segment_index=0, codeword_index=0;
uint16_t nshort = hDecoder->frameLength/8;
- memset (spectral_data, 0, hDecoder->frameLength*sizeof(uint16_t));
+ /*memset (spectral_data, 0, hDecoder->frameLength*sizeof(uint16_t));*/
if (ics->length_of_reordered_spectral_data == 0)
return 0; /* nothing to do */
Index: huffman.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/huffman.c,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- huffman.c 3 Oct 2003 22:23:26 -0000 1.1
+++ huffman.c 2 Jun 2004 22:59:03 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -38,6 +38,19 @@
#include "codebook/hcb.h"
+/* static function declarations */
+static INLINE void huffman_sign_bits(bitfile *ld, int16_t *sp, uint8_t len);
+static INLINE int16_t huffman_getescape(bitfile *ld, int16_t sp);
+static uint8_t huffman_2step_quad(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_2step_quad_sign(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_2step_pair(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_2step_pair_sign(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_binary_quad(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_binary_quad_sign(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_binary_pair(uint8_t cb, bitfile *ld, int16_t *sp);
+static uint8_t huffman_binary_pair_sign(uint8_t cb, bitfile *ld, int16_t *sp);
+static int16_t huffman_codebook(uint8_t i);
+
int8_t huffman_scale_factor(bitfile *ld)
{
uint16_t offset = 0;
@@ -107,7 +120,7 @@
static INLINE int16_t huffman_getescape(bitfile *ld, int16_t sp)
{
uint8_t neg, i;
- int16_t j;
+ int32_t j;
int32_t off;
if (sp < 0)
@@ -116,7 +129,7 @@
return sp;
neg = 1;
} else {
- if(sp != 16)
+ if (sp != 16)
return sp;
neg = 0;
}
@@ -133,7 +146,7 @@
off = faad_getbits(ld, i
DEBUGVAR(1,9,"huffman_getescape(): escape"));
- j = off + (1<<i);
+ j = off | (1<<i);
if (neg)
j = -j;
@@ -216,7 +229,7 @@
return 0;
}
-static huffman_2step_pair_sign(uint8_t cb, bitfile *ld, int16_t *sp)
+static uint8_t huffman_2step_pair_sign(uint8_t cb, bitfile *ld, int16_t *sp)
{
uint8_t err = huffman_2step_pair(cb, ld, sp);
huffman_sign_bits(ld, sp, PAIR_LEN);
@@ -319,7 +332,7 @@
case 10:
return huffman_2step_pair_sign(cb, ld, sp);
case 12: {
- uint8_t err = huffman_2step_quad(1, ld, sp);
+ uint8_t err = huffman_2step_pair(11, ld, sp);
sp[0] = huffman_codebook(0); sp[1] = huffman_codebook(1);
return err; }
case 11:
@@ -357,7 +370,6 @@
uint16_t offset = 0;
uint8_t extra_bits;
uint8_t i;
- uint8_t save_cb = cb;
switch (cb)
Index: huffman.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/huffman.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- huffman.h 3 Oct 2003 22:22:27 -0000 1.2
+++ huffman.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,19 +32,6 @@
extern "C" {
#endif
-
-static INLINE void huffman_sign_bits(bitfile *ld, int16_t *sp, uint8_t len);
-static INLINE int16_t huffman_getescape(bitfile *ld, int16_t sp);
-static uint8_t huffman_2step_quad(uint8_t cb, bitfile *ld, int16_t *sp);
-static uint8_t huffman_2step_quad_sign(uint8_t cb, bitfile *ld, int16_t *sp);
-static uint8_t huffman_2step_pair(uint8_t cb, bitfile *ld, int16_t *sp);
-static huffman_2step_pair_sign(uint8_t cb, bitfile *ld, int16_t *sp);
-static uint8_t huffman_binary_quad(uint8_t cb, bitfile *ld, int16_t *sp);
-static uint8_t huffman_binary_quad_sign(uint8_t cb, bitfile *ld, int16_t *sp);
-static uint8_t huffman_binary_pair(uint8_t cb, bitfile *ld, int16_t *sp);
-static uint8_t huffman_binary_pair_sign(uint8_t cb, bitfile *ld, int16_t *sp);
-static int16_t huffman_codebook(uint8_t i);
-
int8_t huffman_scale_factor(bitfile *ld);
uint8_t huffman_spectral_data(uint8_t cb, bitfile *ld, int16_t *sp);
#ifdef ERROR_RESILIENCE
Index: ic_predict.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ic_predict.c,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- ic_predict.c 30 Aug 2003 22:30:21 -0000 1.1
+++ ic_predict.c 2 Jun 2004 22:59:03 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -34,9 +34,9 @@
#include "ic_predict.h"
#include "pns.h"
-static void flt_round(real_t *pf)
+
+static void flt_round(float32_t *pf)
{
- /* more stable version for clever compilers like gcc 3.x */
int32_t flg;
uint32_t tmp, tmp1, tmp2;
@@ -44,7 +44,6 @@
flg = tmp & (uint32_t)0x00008000;
tmp &= (uint32_t)0xffff0000;
tmp1 = tmp;
-
/* round 1/2 lsb toward infinity */
if (flg)
{
@@ -53,70 +52,143 @@
tmp2 = tmp; /* add 1 lsb and elided one */
tmp &= (uint32_t)0xff800000; /* extract exponent and sign */
- *pf = *(real_t*)&tmp1+*(real_t*)&tmp2-*(real_t*)&tmp;/* subtract elided one */
+ *pf = *(float32_t*)&tmp1 + *(float32_t*)&tmp2 - *(float32_t*)&tmp;
} else {
- *pf = *(real_t*)&tmp;
+ *pf = *(float32_t*)&tmp;
}
}
+static int16_t quant_pred(float32_t x)
+{
+ int16_t q;
+ uint32_t *tmp = (uint32_t*)&x;
+
+ q = (int16_t)(*tmp>>16);
+
+ return q;
+}
+
+static float32_t inv_quant_pred(int16_t q)
+{
+ float32_t x;
+ uint32_t *tmp = (uint32_t*)&x;
+ *tmp = ((uint32_t)q)<<16;
+
+ return x;
+}
+
static void ic_predict(pred_state *state, real_t input, real_t *output, uint8_t pred)
{
+ uint16_t tmp;
+ int16_t i, j;
real_t dr1, predictedvalue;
real_t e0, e1;
real_t k1, k2;
- real_t *r;
- real_t *KOR;
- real_t *VAR;
-
- r = state->r; /* delay elements */
- KOR = state->KOR; /* correlations */
- VAR = state->VAR; /* variances */
-
- if (VAR[0] <= 1)
- k1 = 0;
- else
- k1 = KOR[0]/VAR[0]*B;
+ real_t r[2];
+ real_t COR[2];
+ real_t VAR[2];
+
+ r[0] = inv_quant_pred(state->r[0]);
+ r[1] = inv_quant_pred(state->r[1]);
+ COR[0] = inv_quant_pred(state->COR[0]);
+ COR[1] = inv_quant_pred(state->COR[1]);
+ VAR[0] = inv_quant_pred(state->VAR[0]);
+ VAR[1] = inv_quant_pred(state->VAR[1]);
+
+
+#if 1
+ tmp = state->VAR[0];
+ j = (tmp >> 7);
+ i = tmp & 0x7f;
+ if (j >= 128)
+ {
+ j -= 128;
+ k1 = COR[0] * exp_table[j] * mnt_table[i];
+ } else {
+ k1 = REAL_CONST(0);
+ }
+#else
+
+ {
+#define B 0.953125
+ real_t c = COR[0];
+ real_t v = VAR[0];
+ real_t tmp;
+ if (c == 0 || v <= 1)
+ {
+ k1 = 0;
+ } else {
+ tmp = B / v;
+ flt_round(&tmp);
+ k1 = c * tmp;
+ }
+ }
+#endif
if (pred)
{
- /* only needed for the actual predicted value, k1 is always needed */
- if (VAR[1] <= 1)
+#if 1
+ tmp = state->VAR[1];
+ j = (tmp >> 7);
+ i = tmp & 0x7f;
+ if (j >= 128)
+ {
+ j -= 128;
+ k2 = COR[1] * exp_table[j] * mnt_table[i];
+ } else {
+ k2 = REAL_CONST(0);
+ }
+#else
+
+#define B 0.953125
+ real_t c = COR[1];
+ real_t v = VAR[1];
+ real_t tmp;
+ if (c == 0 || v <= 1)
+ {
k2 = 0;
- else
- k2 = KOR[1]/VAR[1]*B;
+ } else {
+ tmp = B / v;
+ flt_round(&tmp);
+ k2 = c * tmp;
+ }
+#endif
- predictedvalue = MUL(k1, r[0]) + MUL(k2, r[1]);
+ predictedvalue = k1*r[0] + k2*r[1];
flt_round(&predictedvalue);
-
*output = input + predictedvalue;
- } else {
- *output = input;
}
/* calculate new state data */
e0 = *output;
- e1 = e0 - MUL(k1, r[0]);
-
- dr1 = MUL(k1, e0);
-
- VAR[0] = MUL(ALPHA, VAR[0]) + MUL(REAL_CONST(0.5), (MUL(r[0], r[0]) + MUL(e0, e0)));
- KOR[0] = MUL(ALPHA, KOR[0]) + MUL(r[0], e0);
- VAR[1] = MUL(ALPHA, VAR[1]) + MUL(REAL_CONST(0.5), (MUL(r[1], r[1]) + MUL(e1, e1)));
- KOR[1] = MUL(ALPHA, KOR[1]) + MUL(r[1], e1);
+ e1 = e0 - k1*r[0];
+ dr1 = k1*e0;
- r[1] = MUL(A, (r[0]-dr1));
- r[0] = MUL(A, e0);
+ VAR[0] = ALPHA*VAR[0] + 0.5f * (r[0]*r[0] + e0*e0);
+ COR[0] = ALPHA*COR[0] + r[0]*e0;
+ VAR[1] = ALPHA*VAR[1] + 0.5f * (r[1]*r[1] + e1*e1);
+ COR[1] = ALPHA*COR[1] + r[1]*e1;
+
+ r[1] = A * (r[0]-dr1);
+ r[0] = A * e0;
+
+ state->r[0] = quant_pred(r[0]);
+ state->r[1] = quant_pred(r[1]);
+ state->COR[0] = quant_pred(COR[0]);
+ state->COR[1] = quant_pred(COR[1]);
+ state->VAR[0] = quant_pred(VAR[0]);
+ state->VAR[1] = quant_pred(VAR[1]);
}
static void reset_pred_state(pred_state *state)
{
state->r[0] = 0;
state->r[1] = 0;
- state->KOR[0] = 0;
- state->KOR[1] = 0;
- state->VAR[0] = REAL_CONST(1.0);
- state->VAR[1] = REAL_CONST(1.0);
+ state->COR[0] = 0;
+ state->COR[1] = 0;
+ state->VAR[0] = 0x3F80;
+ state->VAR[1] = 0x3F80;
}
void pns_reset_pred_state(ic_stream *ics, pred_state *state)
@@ -157,7 +229,7 @@
/* intra channel prediction */
void ic_prediction(ic_stream *ics, real_t *spec, pred_state *state,
- uint16_t frame_len)
+ uint16_t frame_len, uint8_t sf_index)
{
uint8_t sfb;
uint16_t bin;
@@ -166,7 +238,7 @@
{
reset_all_predictors(state, frame_len);
} else {
- for (sfb = 0; sfb < ics->pred.limit; sfb++)
+ for (sfb = 0; sfb < max_pred_sfb(sf_index); sfb++)
{
uint16_t low = ics->swb_offset[sfb];
uint16_t high = ics->swb_offset[sfb+1];
@@ -174,8 +246,7 @@
for (bin = low; bin < high; bin++)
{
ic_predict(&state[bin], spec[bin], &spec[bin],
- (ics->predictor_data_present &&
- ics->pred.prediction_used[sfb]));
+ (ics->predictor_data_present && ics->pred.prediction_used[sfb]));
}
}
Index: ic_predict.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ic_predict.h,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- ic_predict.h 30 Aug 2003 22:30:21 -0000 1.1
+++ ic_predict.h 2 Jun 2004 22:59:03 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -36,14 +36,210 @@
#define ALPHA REAL_CONST(0.90625)
#define A REAL_CONST(0.953125)
-#define B REAL_CONST(0.953125)
void pns_reset_pred_state(ic_stream *ics, pred_state *state);
void reset_all_predictors(pred_state *state, uint16_t frame_len);
void ic_prediction(ic_stream *ics, real_t *spec, pred_state *state,
- uint16_t frame_len);
+ uint16_t frame_len, uint8_t sf_index);
+ALIGN static const real_t mnt_table[128] = {
+ COEF_CONST(0.9531250000), COEF_CONST(0.9453125000),
+ COEF_CONST(0.9375000000), COEF_CONST(0.9296875000),
+ COEF_CONST(0.9257812500), COEF_CONST(0.9179687500),
+ COEF_CONST(0.9101562500), COEF_CONST(0.9023437500),
+ COEF_CONST(0.8984375000), COEF_CONST(0.8906250000),
+ COEF_CONST(0.8828125000), COEF_CONST(0.8789062500),
+ COEF_CONST(0.8710937500), COEF_CONST(0.8671875000),
+ COEF_CONST(0.8593750000), COEF_CONST(0.8515625000),
+ COEF_CONST(0.8476562500), COEF_CONST(0.8398437500),
+ COEF_CONST(0.8359375000), COEF_CONST(0.8281250000),
+ COEF_CONST(0.8242187500), COEF_CONST(0.8203125000),
+ COEF_CONST(0.8125000000), COEF_CONST(0.8085937500),
+ COEF_CONST(0.8007812500), COEF_CONST(0.7968750000),
+ COEF_CONST(0.7929687500), COEF_CONST(0.7851562500),
+ COEF_CONST(0.7812500000), COEF_CONST(0.7773437500),
+ COEF_CONST(0.7734375000), COEF_CONST(0.7656250000),
+ COEF_CONST(0.7617187500), COEF_CONST(0.7578125000),
+ COEF_CONST(0.7539062500), COEF_CONST(0.7500000000),
+ COEF_CONST(0.7421875000), COEF_CONST(0.7382812500),
+ COEF_CONST(0.7343750000), COEF_CONST(0.7304687500),
+ COEF_CONST(0.7265625000), COEF_CONST(0.7226562500),
+ COEF_CONST(0.7187500000), COEF_CONST(0.7148437500),
+ COEF_CONST(0.7109375000), COEF_CONST(0.7070312500),
+ COEF_CONST(0.6992187500), COEF_CONST(0.6953125000),
+ COEF_CONST(0.6914062500), COEF_CONST(0.6875000000),
+ COEF_CONST(0.6835937500), COEF_CONST(0.6796875000),
+ COEF_CONST(0.6796875000), COEF_CONST(0.6757812500),
+ COEF_CONST(0.6718750000), COEF_CONST(0.6679687500),
+ COEF_CONST(0.6640625000), COEF_CONST(0.6601562500),
+ COEF_CONST(0.6562500000), COEF_CONST(0.6523437500),
+ COEF_CONST(0.6484375000), COEF_CONST(0.6445312500),
+ COEF_CONST(0.6406250000), COEF_CONST(0.6406250000),
+ COEF_CONST(0.6367187500), COEF_CONST(0.6328125000),
+ COEF_CONST(0.6289062500), COEF_CONST(0.6250000000),
+ COEF_CONST(0.6210937500), COEF_CONST(0.6210937500),
+ COEF_CONST(0.6171875000), COEF_CONST(0.6132812500),
+ COEF_CONST(0.6093750000), COEF_CONST(0.6054687500),
+ COEF_CONST(0.6054687500), COEF_CONST(0.6015625000),
+ COEF_CONST(0.5976562500), COEF_CONST(0.5937500000),
+ COEF_CONST(0.5937500000), COEF_CONST(0.5898437500),
+ COEF_CONST(0.5859375000), COEF_CONST(0.5820312500),
+ COEF_CONST(0.5820312500), COEF_CONST(0.5781250000),
+ COEF_CONST(0.5742187500), COEF_CONST(0.5742187500),
+ COEF_CONST(0.5703125000), COEF_CONST(0.5664062500),
+ COEF_CONST(0.5664062500), COEF_CONST(0.5625000000),
+ COEF_CONST(0.5585937500), COEF_CONST(0.5585937500),
+ COEF_CONST(0.5546875000), COEF_CONST(0.5507812500),
+ COEF_CONST(0.5507812500), COEF_CONST(0.5468750000),
+ COEF_CONST(0.5429687500), COEF_CONST(0.5429687500),
+ COEF_CONST(0.5390625000), COEF_CONST(0.5390625000),
+ COEF_CONST(0.5351562500), COEF_CONST(0.5312500000),
+ COEF_CONST(0.5312500000), COEF_CONST(0.5273437500),
+ COEF_CONST(0.5273437500), COEF_CONST(0.5234375000),
+ COEF_CONST(0.5195312500), COEF_CONST(0.5195312500),
+ COEF_CONST(0.5156250000), COEF_CONST(0.5156250000),
+ COEF_CONST(0.5117187500), COEF_CONST(0.5117187500),
+ COEF_CONST(0.5078125000), COEF_CONST(0.5078125000),
+ COEF_CONST(0.5039062500), COEF_CONST(0.5039062500),
+ COEF_CONST(0.5000000000), COEF_CONST(0.4980468750),
+ COEF_CONST(0.4960937500), COEF_CONST(0.4941406250),
+ COEF_CONST(0.4921875000), COEF_CONST(0.4902343750),
+ COEF_CONST(0.4882812500), COEF_CONST(0.4863281250),
+ COEF_CONST(0.4843750000), COEF_CONST(0.4824218750),
+ COEF_CONST(0.4804687500), COEF_CONST(0.4785156250)
+};
+
+ALIGN static const real_t exp_table[128] = {
+ COEF_CONST(0.50000000000000000000000000000000000000000000000000),
+ COEF_CONST(0.25000000000000000000000000000000000000000000000000),
+ COEF_CONST(0.12500000000000000000000000000000000000000000000000),
+ COEF_CONST(0.06250000000000000000000000000000000000000000000000),
+ COEF_CONST(0.03125000000000000000000000000000000000000000000000),
+ COEF_CONST(0.01562500000000000000000000000000000000000000000000),
+ COEF_CONST(0.00781250000000000000000000000000000000000000000000),
+ COEF_CONST(0.00390625000000000000000000000000000000000000000000),
+ COEF_CONST(0.00195312500000000000000000000000000000000000000000),
+ COEF_CONST(0.00097656250000000000000000000000000000000000000000),
+ COEF_CONST(0.00048828125000000000000000000000000000000000000000),
+ COEF_CONST(0.00024414062500000000000000000000000000000000000000),
+ COEF_CONST(0.00012207031250000000000000000000000000000000000000),
+ COEF_CONST(0.00006103515625000000000000000000000000000000000000),
+ COEF_CONST(0.00003051757812500000000000000000000000000000000000),
+ COEF_CONST(0.00001525878906250000000000000000000000000000000000),
+ COEF_CONST(0.00000762939453125000000000000000000000000000000000),
+ COEF_CONST(0.00000381469726562500000000000000000000000000000000),
+ COEF_CONST(0.00000190734863281250000000000000000000000000000000),
+ COEF_CONST(0.00000095367431640625000000000000000000000000000000),
+ COEF_CONST(0.00000047683715820312500000000000000000000000000000),
+ COEF_CONST(0.00000023841857910156250000000000000000000000000000),
+ COEF_CONST(0.00000011920928955078125000000000000000000000000000),
+ COEF_CONST(0.00000005960464477539062500000000000000000000000000),
+ COEF_CONST(0.00000002980232238769531300000000000000000000000000),
+ COEF_CONST(0.00000001490116119384765600000000000000000000000000),
+ COEF_CONST(0.00000000745058059692382810000000000000000000000000),
+ COEF_CONST(0.00000000372529029846191410000000000000000000000000),
+ COEF_CONST(0.00000000186264514923095700000000000000000000000000),
+ COEF_CONST(0.00000000093132257461547852000000000000000000000000),
+ COEF_CONST(0.00000000046566128730773926000000000000000000000000),
+ COEF_CONST(0.00000000023283064365386963000000000000000000000000),
+ COEF_CONST(0.00000000011641532182693481000000000000000000000000),
+ COEF_CONST(0.00000000005820766091346740700000000000000000000000),
+ COEF_CONST(0.00000000002910383045673370400000000000000000000000),
+ COEF_CONST(0.00000000001455191522836685200000000000000000000000),
+ COEF_CONST(0.00000000000727595761418342590000000000000000000000),
+ COEF_CONST(0.00000000000363797880709171300000000000000000000000),
+ COEF_CONST(0.00000000000181898940354585650000000000000000000000),
+ COEF_CONST(0.00000000000090949470177292824000000000000000000000),
+ COEF_CONST(0.00000000000045474735088646412000000000000000000000),
+ COEF_CONST(0.00000000000022737367544323206000000000000000000000),
+ COEF_CONST(0.00000000000011368683772161603000000000000000000000),
+ COEF_CONST(0.00000000000005684341886080801500000000000000000000),
+ COEF_CONST(0.00000000000002842170943040400700000000000000000000),
+ COEF_CONST(0.00000000000001421085471520200400000000000000000000),
+ COEF_CONST(0.00000000000000710542735760100190000000000000000000),
+ COEF_CONST(0.00000000000000355271367880050090000000000000000000),
+ COEF_CONST(0.00000000000000177635683940025050000000000000000000),
+ COEF_CONST(0.00000000000000088817841970012523000000000000000000),
+ COEF_CONST(0.00000000000000044408920985006262000000000000000000),
+ COEF_CONST(0.00000000000000022204460492503131000000000000000000),
+ COEF_CONST(0.00000000000000011102230246251565000000000000000000),
+ COEF_CONST(0.00000000000000005551115123125782700000000000000000),
+ COEF_CONST(0.00000000000000002775557561562891400000000000000000),
+ COEF_CONST(0.00000000000000001387778780781445700000000000000000),
+ COEF_CONST(0.00000000000000000693889390390722840000000000000000),
+ COEF_CONST(0.00000000000000000346944695195361420000000000000000),
+ COEF_CONST(0.00000000000000000173472347597680710000000000000000),
+ COEF_CONST(0.00000000000000000086736173798840355000000000000000),
+ COEF_CONST(0.00000000000000000043368086899420177000000000000000),
+ COEF_CONST(0.00000000000000000021684043449710089000000000000000),
+ COEF_CONST(0.00000000000000000010842021724855044000000000000000),
+ COEF_CONST(0.00000000000000000005421010862427522200000000000000),
+ COEF_CONST(0.00000000000000000002710505431213761100000000000000),
+ COEF_CONST(0.00000000000000000001355252715606880500000000000000),
+ COEF_CONST(0.00000000000000000000677626357803440270000000000000),
+ COEF_CONST(0.00000000000000000000338813178901720140000000000000),
+ COEF_CONST(0.00000000000000000000169406589450860070000000000000),
+ COEF_CONST(0.00000000000000000000084703294725430034000000000000),
+ COEF_CONST(0.00000000000000000000042351647362715017000000000000),
+ COEF_CONST(0.00000000000000000000021175823681357508000000000000),
+ COEF_CONST(0.00000000000000000000010587911840678754000000000000),
+ COEF_CONST(0.00000000000000000000005293955920339377100000000000),
+ COEF_CONST(0.00000000000000000000002646977960169688600000000000),
+ COEF_CONST(0.00000000000000000000001323488980084844300000000000),
+ COEF_CONST(0.00000000000000000000000661744490042422140000000000),
+ COEF_CONST(0.00000000000000000000000330872245021211070000000000),
+ COEF_CONST(0.00000000000000000000000165436122510605530000000000),
+ COEF_CONST(0.00000000000000000000000082718061255302767000000000),
+ COEF_CONST(0.00000000000000000000000041359030627651384000000000),
+ COEF_CONST(0.00000000000000000000000020679515313825692000000000),
+ COEF_CONST(0.00000000000000000000000010339757656912846000000000),
+ COEF_CONST(0.00000000000000000000000005169878828456423000000000),
+ COEF_CONST(0.00000000000000000000000002584939414228211500000000),
+ COEF_CONST(0.00000000000000000000000001292469707114105700000000),
+ COEF_CONST(0.00000000000000000000000000646234853557052870000000),
+ COEF_CONST(0.00000000000000000000000000323117426778526440000000),
+ COEF_CONST(0.00000000000000000000000000161558713389263220000000),
+ COEF_CONST(0.00000000000000000000000000080779356694631609000000),
+ COEF_CONST(0.00000000000000000000000000040389678347315804000000),
+ COEF_CONST(0.00000000000000000000000000020194839173657902000000),
+ COEF_CONST(0.00000000000000000000000000010097419586828951000000),
+ COEF_CONST(0.00000000000000000000000000005048709793414475600000),
+ COEF_CONST(0.00000000000000000000000000002524354896707237800000),
+ COEF_CONST(0.00000000000000000000000000001262177448353618900000),
+ COEF_CONST(0.00000000000000000000000000000631088724176809440000),
+ COEF_CONST(0.00000000000000000000000000000315544362088404720000),
+ COEF_CONST(0.00000000000000000000000000000157772181044202360000),
+ COEF_CONST(0.00000000000000000000000000000078886090522101181000),
+ COEF_CONST(0.00000000000000000000000000000039443045261050590000),
+ COEF_CONST(0.00000000000000000000000000000019721522630525295000),
+ COEF_CONST(0.00000000000000000000000000000009860761315262647600),
+ COEF_CONST(0.00000000000000000000000000000004930380657631323800),
+ COEF_CONST(0.00000000000000000000000000000002465190328815661900),
+ COEF_CONST(0.00000000000000000000000000000001232595164407830900),
+ COEF_CONST(0.00000000000000000000000000000000616297582203915470),
+ COEF_CONST(0.00000000000000000000000000000000308148791101957740),
+ COEF_CONST(0.00000000000000000000000000000000154074395550978870),
+ COEF_CONST(0.00000000000000000000000000000000077037197775489434),
+ COEF_CONST(0.00000000000000000000000000000000038518598887744717),
+ COEF_CONST(0.00000000000000000000000000000000019259299443872359),
+ COEF_CONST(0.00000000000000000000000000000000009629649721936179),
+ COEF_CONST(0.00000000000000000000000000000000004814824860968090),
+ COEF_CONST(0.00000000000000000000000000000000002407412430484045),
+ COEF_CONST(0.00000000000000000000000000000000001203706215242022),
+ COEF_CONST(0.00000000000000000000000000000000000601853107621011),
+ COEF_CONST(0.00000000000000000000000000000000000300926553810506),
+ COEF_CONST(0.00000000000000000000000000000000000150463276905253),
+ COEF_CONST(0.00000000000000000000000000000000000075231638452626),
+ COEF_CONST(0.00000000000000000000000000000000000037615819226313),
+ COEF_CONST(0.00000000000000000000000000000000000018807909613157),
+ COEF_CONST(0.00000000000000000000000000000000000009403954806578),
+ COEF_CONST(0.00000000000000000000000000000000000004701977403289),
+ COEF_CONST(0.00000000000000000000000000000000000002350988701645),
+ COEF_CONST(0.00000000000000000000000000000000000001175494350822),
+ COEF_CONST(0.0 /* 0000000000000000000000000000000000000587747175411 "floating point underflow" */),
+ COEF_CONST(0.0)
+};
#ifdef __cplusplus
}
Index: iq_table.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/iq_table.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- iq_table.h 3 Oct 2003 22:22:27 -0000 1.2
+++ iq_table.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -33,9245 +33,9246 @@
#endif
+/* !!!DON'T CHANGE IQ_TABLE_SIZE!!! */
+
+
#ifndef FIXED_POINT
+#define IQ_TABLE_SIZE 8192
+
#ifdef _MSC_VER
#pragma warning(disable:4305)
#pragma warning(disable:4244)
#endif
-/* !!!DON'T CHANGE IQ_TABLE_SIZE!!! */
-#define IQ_TABLE_SIZE 1026
-
-static real_t iq_table[] =
+ALIGN static const real_t iq_table[IQ_TABLE_SIZE] =
{
- 0.0000000000,
- 1.0000000000,
- 2.5198420998,
- 4.3267487109,
- 6.3496042079,
- 8.5498797334,
- 10.9027235570,
- 13.3905182794,
- 16.0000000000,
- 18.7207544075,
- 21.5443469003,
- 24.4637809963,
- 27.4731418213,
- 30.5673509404,
- 33.7419916985,
- 36.9931811150,
- 40.3174735966,
- 43.7117870412,
- 47.1733450958,
- 50.6996313257,
- 54.2883523319,
- 57.9374077040,
- 61.6448652744,
- 65.4089405366,
- 69.2279793748,
- 73.1004434553,
- 77.0248977786,
- 81.0000000000,
- 85.0244912125,
- 89.0971879449,
- 93.2169751786,
- 97.3828002241,
- 101.5936673260,
- 105.8486328899,
- 110.1468012434,
- 114.4873208566,
- 118.8693809602,
- 123.2922085109,
- 127.7550654584,
- 132.2572462776,
- 136.7980757341,
- 141.3769068557,
- 145.9931190852,
- 150.6461165966,
- 155.3353267543,
- 160.0601987021,
- 164.8202020667,
- 169.6148257665,
- 174.4435769119,
- 179.3059797911,
- 184.2015749320,
- 189.1299182326,
- 194.0905801545,
- 199.0831449737,
- 204.1072100830,
- 209.1623853419,
- 214.2482924705,
- 219.3645644828,
- 224.5108451564,
- 229.6867885365,
- 234.8920584701,
- 240.1263281692,
- 245.3892798002,
- 250.6806040975,
- 256.0000000000,
- 261.3471743083,
- 266.7218413611,
- 272.1237227299,
- 277.5525469304,
- 283.0080491495,
- 288.4899709866,
- 293.9980602090,
- 299.5320705195,
- 305.0917613358,
- 310.6768975818,
- 316.2872494882,
- 321.9225924034,
- 327.5827066139,
- 333.2673771724,
- 338.9763937351,
- 344.7095504051,
- 350.4666455847,
- 356.2474818330,
- 362.0518657308,
- 367.8796077506,
- 373.7305221334,
- 379.6044267700,
- 385.5011430873,
- 391.4204959402,
- 397.3623135070,
- 403.3264271901,
- 409.3126715201,
- 415.3208840636,
- 421.3509053358,
- 427.4025787150,
- 433.4757503618,
- 439.5702691405,
- 445.6859865441,
- 451.8227566217,
- 457.9804359091,
- 464.1588833613,
- 470.3579602882,
- 476.5775302922,
- 482.8174592083,
- 489.0776150459,
- 495.3578679332,
- 501.6580900633,
- 507.9781556420,
- 514.3179408377,
- 520.6773237328,
- 527.0561842769,
- 533.4544042413,
- 539.8718671753,
- 546.3084583636,
- 552.7640647857,
- 559.2385750758,
- 565.7318794845,
- 572.2438698415,
- 578.7744395198,
- 585.3234834006,
- 591.8908978393,
- 598.4765806331,
- 605.0804309888,
- 611.7023494920,
- 618.3422380776,
- 625.0000000000,
- 631.6755398055,
- 638.3687633048,
- 645.0795775462,
- 651.8078907899,
- 658.5536124831,
- 665.3166532354,
- 672.0969247951,
- 678.8943400262,
- 685.7088128862,
- 692.5402584041,
- 699.3885926590,
- 706.2537327602,
- 713.1355968262,
- 720.0341039659,
- 726.9491742592,
- 733.8807287386,
- 740.8286893712,
- 747.7929790411,
- 754.7735215322,
- 761.7702415115,
- 768.7830645130,
- 775.8119169219,
- 782.8567259587,
- 789.9174196648,
- 796.9939268870,
- 804.0861772639,
- 811.1941012115,
- 818.3176299096,
- 825.4566952887,
- 832.6112300164,
- 839.7811674856,
- 846.9664418012,
- 854.1669877685,
- 861.3827408814,
- 868.6136373104,
- 875.8596138918,
- 883.1206081164,
- 890.3965581189,
- 897.6874026669,
- 904.9930811514,
- 912.3135335758,
- 919.6487005467,
- 926.9985232641,
- 934.3629435117,
- 941.7419036483,
- 949.1353465979,
- 956.5432158417,
- 963.9654554089,
- 971.4020098686,
- 978.8528243212,
- 986.3178443907,
- 993.7970162163,
- 1001.2902864449,
- 1008.7976022234,
- 1016.3189111915,
- 1023.8541614739,
- 1031.4033016737,
- 1038.9662808647,
- 1046.5430485854,
- 1054.1335548314,
- 1061.7377500496,
- 1069.3555851309,
- 1076.9870114047,
- 1084.6319806319,
- 1092.2904449995,
- 1099.9623571140,
- 1107.6476699961,
- 1115.3463370744,
- 1123.0583121801,
- 1130.7835495416,
- 1138.5220037785,
- 1146.2736298969,
- 1154.0383832838,
- 1161.8162197020,
- 1169.6070952851,
- 1177.4109665328,
- 1185.2277903054,
- 1193.0575238198,
- 1200.9001246442,
- 1208.7555506939,
- 1216.6237602266,
- 1224.5047118380,
- 1232.3983644575,
- 1240.3046773436,
- 1248.2236100803,
- 1256.1551225723,
- 1264.0991750417,
- 1272.0557280230,
- 1280.0247423603,
- 1288.0061792024,
- 1296.0000000000,
- 1304.0061665011,
- 1312.0246407478,
- 1320.0553850728,
- 1328.0983620955,
- 1336.1535347188,
- 1344.2208661255,
- 1352.3003197751,
- 1360.3918594003,
- 1368.4954490040,
- 1376.6110528559,
- 1384.7386354892,
- 1392.8781616980,
- 1401.0295965338,
- 1409.1929053025,
- 1417.3680535619,
- 1425.5550071182,
- 1433.7537320236,
- 1441.9641945733,
- 1450.1863613025,
- 1458.4201989843,
- 1466.6656746263,
- 1474.9227554684,
- 1483.1914089801,
- 1491.4716028579,
- 1499.7633050227,
- 1508.0664836175,
- 1516.3811070048,
- 1524.7071437644,
- 1533.0445626906,
- 1541.3933327903,
- 1549.7534232806,
- 1558.1248035861,
- 1566.5074433375,
- 1574.9013123686,
- 1583.3063807145,
- 1591.7226186094,
- 1600.1499964846,
- 1608.5884849662,
- 1617.0380548732,
- 1625.4986772154,
- 1633.9703231917,
- 1642.4529641876,
- 1650.9465717736,
- 1659.4511177036,
- 1667.9665739122,
- 1676.4929125137,
- 1685.0301057998,
- 1693.5781262378,
- 1702.1369464690,
- 1710.7065393070,
- 1719.2868777356,
- 1727.8779349075,
- 1736.4796841426,
- 1745.0920989258,
- 1753.7151529063,
- 1762.3488198950,
- 1770.9930738636,
- 1779.6478889428,
- 1788.3132394207,
- 1796.9890997413,
- 1805.6754445031,
- 1814.3722484576,
- 1823.0794865074,
- 1831.7971337056,
- 1840.5251652535,
- 1849.2635564999,
- 1858.0122829390,
- 1866.7713202096,
- 1875.5406440938,
- 1884.3202305150,
- 1893.1100555371,
- 1901.9100953633,
- 1910.7203263343,
- 1919.5407249276,
- 1928.3712677557,
- 1937.2119315653,
- 1946.0626932359,
- 1954.9235297784,
- 1963.7944183344,
- 1972.6753361744,
- 1981.5662606973,
- 1990.4671694285,
- 1999.3780400196,
- 2008.2988502465,
- 2017.2295780088,
- 2026.1702013285,
- 2035.1206983489,
- 2044.0810473338,
- 2053.0512266659,
- 2062.0312148464,
- 2071.0209904936,
- 2080.0205323417,
- 2089.0298192403,
- 2098.0488301532,
- 2107.0775441570,
- 2116.1159404408,
- 2125.1639983049,
- 2134.2216971598,
- 2143.2890165253,
- 2152.3659360297,
- 2161.4524354089,
- 2170.5484945052,
- 2179.6540932666,
- 2188.7692117462,
- 2197.8938301007,
- 2207.0279285901,
- 2216.1714875766,
- 2225.3244875237,
- 2234.4869089955,
- 2243.6587326558,
- 2252.8399392674,
- 2262.0305096911,
- 2271.2304248850,
- 2280.4396659037,
- 2289.6582138977,
- 2298.8860501122,
- 2308.1231558868,
- 2317.3695126545,
- 2326.6251019409,
- 2335.8899053637,
- 2345.1639046317,
- 2354.4470815443,
- 2363.7394179907,
- 2373.0408959490,
- 2382.3514974860,
- 2391.6712047559,
- 2401.0000000000,
- 2410.3378655461,
- 2419.6847838074,
- 2429.0407372823,
- 2438.4057085534,
- 2447.7796802872,
- 2457.1626352330,
- 2466.5545562227,
- 2475.9554261700,
- 2485.3652280695,
- 2494.7839449968,
- 2504.2115601072,
- 2513.6480566352,
- 2523.0934178943,
- 2532.5476272760,
- 2542.0106682495,
- 2551.4825243609,
- 2560.9631792328,
- 2570.4526165636,
- 2579.9508201270,
- 2589.4577737714,
- 2598.9734614194,
- 2608.4978670675,
- 2618.0309747849,
- 2627.5727687136,
- 2637.1232330677,
- 2646.6823521328,
- 2656.2501102653,
- 2665.8264918923,
- 2675.4114815110,
- 2685.0050636878,
- 2694.6072230582,
- 2704.2179443264,
- 2713.8372122643,
- 2723.4650117115,
- 2733.1013275747,
- 2742.7461448270,
- 2752.3994485079,
- 2762.0612237221,
- 2771.7314556399,
- 2781.4101294962,
- 2791.0972305902,
- 2800.7927442847,
- 2810.4966560063,
- 2820.2089512442,
- 2829.9296155502,
- 2839.6586345385,
- 2849.3959938845,
- 2859.1416793251,
- 2868.8956766580,
- 2878.6579717413,
- 2888.4285504930,
- 2898.2073988909,
- 2907.9945029718,
- 2917.7898488313,
- 2927.5934226236,
- 2937.4052105607,
- 2947.2251989123,
- 2957.0533740053,
- 2966.8897222234,
- 2976.7342300070,
- 2986.5868838523,
- 2996.4476703115,
- 3006.3165759920,
- 3016.1935875562,
- 3026.0786917212,
- 3035.9718752584,
- 3045.8731249931,
- 3055.7824278041,
- 3065.6997706236,
- 3075.6251404365,
- 3085.5585242804,
- 3095.4999092450,
- 3105.4492824719,
- 3115.4066311543,
- 3125.3719425365,
- 3135.3452039137,
- 3145.3264026318,
- 3155.3155260867,
- 3165.3125617243,
- 3175.3174970403,
- 3185.3303195795,
- 3195.3510169356,
- 3205.3795767511,
- 3215.4159867169,
- 3225.4602345719,
- 3235.5123081028,
- 3245.5721951437,
- 3255.6398835758,
- 3265.7153613275,
- 3275.7986163735,
- 3285.8896367348,
- 3295.9884104787,
- 3306.0949257178,
- 3316.2091706107,
- 3326.3311333606,
- 3336.4608022160,
- 3346.5981654700,
- 3356.7432114599,
- 3366.8959285672,
- 3377.0563052172,
- 3387.2243298788,
- 3397.3999910641,
- 3407.5832773283,
- 3417.7741772695,
- 3427.9726795281,
- 3438.1787727870,
- 3448.3924457710,
- 3458.6136872466,
- 3468.8424860221,
- 3479.0788309468,
- 3489.3227109112,
- 3499.5741148464,
- 3509.8330317244,
- 3520.0994505573,
- 3530.3733603973,
- 3540.6547503364,
- 3550.9436095064,
- 3561.2399270783,
- 3571.5436922624,
- 3581.8548943078,
- 3592.1735225026,
- 3602.4995661730,
- 3612.8330146838,
- 3623.1738574377,
- 3633.5220838752,
- 3643.8776834744,
- 3654.2406457510,
- 3664.6109602577,
- 3674.9886165844,
- 3685.3736043574,
- 3695.7659132398,
- 3706.1655329312,
- 3716.5724531671,
- 3726.9866637191,
- 3737.4081543945,
- 3747.8369150361,
- 3758.2729355221,
- 3768.7162057659,
- 3779.1667157159,
- 3789.6244553551,
- 3800.0894147012,
- 3810.5615838063,
- 3821.0409527566,
- 3831.5275116724,
- 3842.0212507077,
- 3852.5221600504,
- 3863.0302299216,
- 3873.5454505757,
- 3884.0678123003,
- 3894.5973054159,
- 3905.1339202756,
- 3915.6776472653,
- 3926.2284768030,
- 3936.7863993390,
- 3947.3514053559,
- 3957.9234853677,
- 3968.5026299205,
- 3979.0888295917,
- 3989.6820749901,
- 4000.2823567557,
- 4010.8896655596,
- 4021.5039921036,
- 4032.1253271203,
- 4042.7536613729,
- 4053.3889856548,
- 4064.0312907898,
- 4074.6805676315,
- 4085.3368070638,
- 4096.0000000000,
- 4106.6701373831,
- 4117.3472101855,
- 4128.0312094089,
- 4138.7221260843,
- 4149.4199512713,
- 4160.1246760588,
- 4170.8362915639,
- 4181.5547889326,
- 4192.2801593392,
- 4203.0123939861,
- 4213.7514841039,
- 4224.4974209512,
- 4235.2501958144,
- 4246.0098000075,
- 4256.7762248721,
- 4267.5494617770,
- 4278.3295021186,
- 4289.1163373202,
- 4299.9099588321,
- 4310.7103581313,
- 4321.5175267219,
- 4332.3314561342,
- 4343.1521379251,
- 4353.9795636778,
- 4364.8137250016,
- 4375.6546135320,
- 4386.5022209304,
- 4397.3565388837,
- 4408.2175591050,
- 4419.0852733324,
- 4429.9596733298,
- 4440.8407508861,
- 4451.7284978156,
- 4462.6229059575,
- 4473.5239671759,
- 4484.4316733599,
- 4495.3460164231,
- 4506.2669883035,
- 4517.1945809640,
- 4528.1287863914,
- 4539.0695965968,
- 4550.0170036156,
- 4560.9709995068,
- 4571.9315763535,
- 4582.8987262626,
- 4593.8724413645,
- 4604.8527138130,
- 4615.8395357856,
- 4626.8328994828,
- 4637.8327971284,
- 4648.8392209693,
- 4659.8521632753,
- 4670.8716163390,
- 4681.8975724760,
- 4692.9300240243,
- 4703.9689633444,
- 4715.0143828193,
- 4726.0662748543,
- 4737.1246318771,
- 4748.1894463371,
- 4759.2607107062,
- 4770.3384174777,
- 4781.4225591672,
- 4792.5131283116,
- 4803.6101174696,
- 4814.7135192213,
- 4825.8233261683,
- 4836.9395309335,
- 4848.0621261609,
- 4859.1911045158,
- 4870.3264586842,
- 4881.4681813733,
- 4892.6162653110,
- 4903.7707032459,
- 4914.9314879474,
- 4926.0986122052,
- 4937.2720688295,
- 4948.4518506510,
- 4959.6379505206,
- 4970.8303613092,
- 4982.0290759079,
- 4993.2340872279,
- 5004.4453882001,
- 5015.6629717753,
- 5026.8868309241,
- 5038.1169586365,
- 5049.3533479223,
- 5060.5959918105,
- 5071.8448833497,
- 5083.1000156077,
- 5094.3613816714,
- 5105.6289746470,
- 5116.9027876595,
- 5128.1828138531,
- 5139.4690463907,
- 5150.7614784539,
- 5162.0601032433,
- 5173.3649139777,
- 5184.6759038949,
- 5195.9930662506,
- 5207.3163943194,
- 5218.6458813939,
- 5229.9815207850,
- 5241.3233058217,
- 5252.6712298510,
- 5264.0252862380,
- 5275.3854683656,
- 5286.7517696346,
- 5298.1241834635,
- 5309.5027032884,
- 5320.8873225631,
- 5332.2780347590,
- 5343.6748333647,
- 5355.0777118863,
- 5366.4866638472,
- 5377.9016827880,
- 5389.3227622665,
- 5400.7498958574,
- 5412.1830771527,
- 5423.6222997611,
- 5435.0675573082,
- 5446.5188434364,
- 5457.9761518049,
- 5469.4394760894,
- 5480.9088099822,
- 5492.3841471923,
- 5503.8654814448,
- 5515.3528064816,
- 5526.8461160606,
- 5538.3454039558,
- 5549.8506639579,
- 5561.3618898731,
- 5572.8790755240,
- 5584.4022147491,
- 5595.9313014028,
- 5607.4663293552,
- 5619.0072924923,
- 5630.5541847159,
- 5642.1069999431,
- 5653.6657321070,
- 5665.2303751559,
- 5676.8009230538,
- 5688.3773697797,
- 5699.9597093284,
- 5711.5479357096,
- 5723.1420429485,
- 5734.7420250850,
- 5746.3478761746,
- 5757.9595902874,
- 5769.5771615087,
- 5781.2005839386,
- 5792.8298516920,
- 5804.4649588987,
- 5816.1058997031,
- 5827.7526682643,
- 5839.4052587560,
- 5851.0636653664,
- 5862.7278822983,
- 5874.3979037688,
- 5886.0737240093,
- 5897.7553372658,
- 5909.4427377983,
- 5921.1359198811,
- 5932.8348778025,
- 5944.5396058651,
- 5956.2500983854,
- 5967.9663496940,
- 5979.6883541351,
- 5991.4161060672,
- 6003.1495998623,
- 6014.8888299063,
- 6026.6337905987,
- 6038.3844763527,
- 6050.1408815952,
- 6061.9030007664,
- 6073.6708283203,
- 6085.4443587241,
- 6097.2235864585,
- 6109.0085060174,
- 6120.7991119082,
- 6132.5953986513,
- 6144.3973607806,
- 6156.2049928426,
- 6168.0182893975,
- 6179.8372450182,
- 6191.6618542904,
- 6203.4921118132,
- 6215.3280121982,
- 6227.1695500700,
- 6239.0167200659,
- 6250.8695168361,
- 6262.7279350432,
- 6274.5919693627,
- 6286.4616144826,
- 6298.3368651034,
- 6310.2177159382,
- 6322.1041617124,
- 6333.9961971640,
- 6345.8938170431,
- 6357.7970161124,
- 6369.7057891466,
- 6381.6201309327,
- 6393.5400362700,
- 6405.4654999698,
- 6417.3965168555,
- 6429.3330817625,
- 6441.2751895383,
- 6453.2228350423,
- 6465.1760131457,
- 6477.1347187317,
- 6489.0989466952,
- 6501.0686919430,
- 6513.0439493936,
- 6525.0247139769,
- 6537.0109806350,
- 6549.0027443210,
- 6561.0000000000,
- 6573.0027426484,
- 6585.0109672541,
- 6597.0246688165,
- 6609.0438423464,
- 6621.0684828657,
- 6633.0985854079,
- 6645.1341450177,
- 6657.1751567510,
- 6669.2216156747,
- 6681.2735168671,
- 6693.3308554176,
- 6705.3936264265,
- 6717.4618250051,
- 6729.5354462759,
- 6741.6144853722,
- 6753.6989374383,
- 6765.7887976291,
- 6777.8840611107,
- 6789.9847230597,
- 6802.0907786636,
- 6814.2022231205,
- 6826.3190516394,
- 6838.4412594396,
- 6850.5688417513,
- 6862.7017938151,
- 6874.8401108821,
- 6886.9837882140,
- 6899.1328210829,
- 6911.2872047712,
- 6923.4469345719,
- 6935.6120057882,
- 6947.7824137335,
- 6959.9581537318,
- 6972.1392211169,
- 6984.3256112330,
- 6996.5173194347,
- 7008.7143410863,
- 7020.9166715624,
- 7033.1243062477,
- 7045.3372405367,
- 7057.5554698343,
- 7069.7789895548,
- 7082.0077951229,
- 7094.2418819728,
- 7106.4812455489,
- 7118.7258813051,
- 7130.9757847053,
- 7143.2309512230,
- 7155.4913763416,
- 7167.7570555538,
- 7180.0279843624,
- 7192.3041582795,
- 7204.5855728270,
- 7216.8722235361,
- 7229.1641059476,
- 7241.4612156120,
- 7253.7635480891,
- 7266.0710989478,
- 7278.3838637670,
- 7290.7018381344,
- 7303.0250176474,
- 7315.3533979125,
- 7327.6869745455,
- 7340.0257431713,
- 7352.3696994244,
- 7364.7188389480,
- 7377.0731573946,
- 7389.4326504259,
- 7401.7973137127,
- 7414.1671429346,
- 7426.5421337804,
- 7438.9222819480,
- 7451.3075831438,
- 7463.6980330837,
- 7476.0936274921,
- 7488.4943621024,
- 7500.9002326569,
- 7513.3112349065,
- 7525.7273646110,
- 7538.1486175390,
- 7550.5749894679,
- 7563.0064761834,
- 7575.4430734804,
- 7587.8847771619,
- 7600.3315830400,
- 7612.7834869349,
- 7625.2404846758,
- 7637.7025721001,
- 7650.1697450538,
- 7662.6419993914,
- 7675.1193309757,
- 7687.6017356782,
- 7700.0892093785,
- 7712.5817479647,
- 7725.0793473331,
- 7737.5820033885,
- 7750.0897120437,
- 7762.6024692201,
- 7775.1202708469,
- 7787.6431128620,
- 7800.1709912110,
- 7812.7039018478,
- 7825.2418407347,
- 7837.7848038416,
- 7850.3327871468,
- 7862.8857866366,
- 7875.4437983052,
- 7888.0068181548,
- 7900.5748421957,
- 7913.1478664460,
- 7925.7258869318,
- 7938.3088996870,
- 7950.8969007534,
- 7963.4898861807,
- 7976.0878520263,
- 7988.6907943555,
- 8001.2987092412,
- 8013.9115927643,
- 8026.5294410131,
- 8039.1522500838,
- 8051.7800160802,
- 8064.4127351138,
- 8077.0504033037,
- 8089.6930167764,
- 8102.3405716663,
- 8114.9930641151,
- 8127.6504902721,
- 8140.3128462940,
- 8152.9801283453,
- 8165.6523325976,
- 8178.3294552300,
- 8191.0114924292,
- 8203.6984403890,
- 8216.3902953107,
- 8229.0870534031,
- 8241.7887108821,
- 8254.4952639709,
- 8267.2067089000,
- 8279.9230419073,
- 8292.6442592376,
- 8305.3703571432,
- 8318.1013318835,
- 8330.8371797251,
- 8343.5778969415,
- 8356.3234798136,
- 8369.0739246292,
- 8381.8292276834,
- 8394.5893852780,
- 8407.3543937222,
- 8420.1242493321,
- 8432.8989484305,
- 8445.6784873475,
- 8458.4628624202,
- 8471.2520699922,
- 8484.0461064144,
- 8496.8449680444,
- 8509.6486512468,
- 8522.4571523928,
- 8535.2704678607,
- 8548.0885940353,
- 8560.9115273086,
- 8573.7392640788,
- 8586.5718007514,
- 8599.4091337382,
- 8612.2512594579,
- 8625.0981743359,
- 8637.9498748040,
- 8650.8063573010,
- 8663.6676182722,
- 8676.5336541692,
- 8689.4044614507,
- 8702.2800365815,
- 8715.1603760331,
- 8728.0454762838,
- 8740.9353338178,
- 8753.8299451264,
- 8766.7293067070,
- 8779.6334150636,
- 8792.5422667064,
- 8805.4558581523,
- 8818.3741859245,
- 8831.2972465524,
- 8844.2250365719,
- 8857.1575525253,
- 8870.0947909611,
- 8883.0367484340,
- 8895.9834215053,
- 8908.9348067421,
- 8921.8909007182,
- 8934.8517000133,
- 8947.8172012135,
+ 0,
+ 1,
+ 2.5198420997897464,
+ 4.3267487109222245,
+ 6.3496042078727974,
+ 8.5498797333834844,
+ 10.902723556992836,
+ 13.390518279406722,
+ 15.999999999999998,
+ 18.720754407467133,
+ 21.544346900318832,
+ 24.463780996262464,
+ 27.47314182127996,
+ 30.567350940369842,
+ 33.741991698453212,
+ 36.993181114957046,
+ 40.317473596635935,
+ 43.711787041189993,
+ 47.173345095760126,
+ 50.699631325716943,
+ 54.288352331898118,
+ 57.937407704003519,
+ 61.6448652744185,
+ 65.408940536585988,
+ 69.227979374755591,
+ 73.100443455321638,
+ 77.024897778591622,
+ 80.999999999999986,
+ 85.024491212518527,
+ 89.097187944889555,
+ 93.216975178615741,
+ 97.382800224133163,
+ 101.59366732596474,
+ 105.84863288986224,
+ 110.14680124343441,
+ 114.4873208566006,
+ 118.86938096020653,
+ 123.29220851090024,
+ 127.75506545836058,
+ 132.25724627755247,
+ 136.79807573413572,
+ 141.37690685569191,
+ 145.99311908523086,
+ 150.6461165966291,
+ 155.33532675434674,
+ 160.06019870205279,
+ 164.82020206673349,
+ 169.61482576651861,
+ 174.44357691188537,
+ 179.30597979112557,
+ 184.20157493201927,
+ 189.12991823257562,
+ 194.09058015449685,
+ 199.08314497371677,
+ 204.1072100829694,
+ 209.16238534187647,
+ 214.24829247050752,
+ 219.36456448277784,
+ 224.51084515641216,
+ 229.6867885365223,
+ 234.89205847013176,
+ 240.12632816923249,
+ 245.38927980018505,
+ 250.68060409747261,
+ 255.99999999999991,
+ 261.34717430828869,
+ 266.72184136106449,
+ 272.12372272986045,
+ 277.55254693037961,
+ 283.0080491494619,
+ 288.48997098659891,
+ 293.99806020902247,
+ 299.53207051947408,
+ 305.0917613358298,
+ 310.67689758182206,
+ 316.28724948815585,
+ 321.92259240337177,
+ 327.58270661385535,
+ 333.26737717243742,
+ 338.97639373507025,
+ 344.70955040510125,
+ 350.46664558470013,
+ 356.24748183302603,
+ 362.05186573075139,
+ 367.87960775058258,
+ 373.73052213344511,
+ 379.60442677002078,
+ 385.50114308734607,
+ 391.42049594019937,
+ 397.36231350702371,
+ 403.32642719014467,
+ 409.31267152006262,
+ 415.32088406360799,
+ 421.35090533576471,
+ 427.40257871497619,
+ 433.4757503617617,
+ 439.5702691404793,
+ 445.68598654408271,
+ 451.82275662172759,
+ 457.98043590909128,
+ 464.15888336127773,
+ 470.35796028818726,
+ 476.5775302922363,
+ 482.81745920832043,
+ 489.07761504591741,
+ 495.35786793323581,
+ 501.65809006331688,
+ 507.97815564200368,
+ 514.31794083769648,
+ 520.67732373281672,
+ 527.05618427690604,
+ 533.45440424129174,
+ 539.87186717525128,
+ 546.30845836361505,
+ 552.76406478574609,
+ 559.23857507584194,
+ 565.73187948450413,
+ 572.24386984152341,
+ 578.77443951983378,
+ 585.32348340058843,
+ 591.89089783931263,
+ 598.47658063309257,
+ 605.08043098876044,
+ 611.70234949203643,
+ 618.3422380775919,
+ 624.99999999999977,
+ 631.67553980553748,
+ 638.36876330481164,
+ 645.07957754617485,
+ 651.80789078990415,
+ 658.55361248311499,
+ 665.31665323538357,
+ 672.09692479505225,
+ 678.8943400261943,
+ 685.70881288621433,
+ 692.540258404062,
+ 699.38859265903977,
+ 706.25373276018058,
+ 713.13559682617972,
+ 720.03410396586037,
+ 726.94917425915435,
+ 733.88072873858209,
+ 740.82868937121543,
+ 747.79297904110535,
+ 754.77352153216191,
+ 761.77024151147043,
+ 768.78306451302956,
+ 775.81191692189896,
+ 782.85672595874246,
+ 789.91741966475445,
+ 796.99392688695798,
+ 804.08617726386274,
+ 811.19410121147098,
+ 818.31762990962227,
+ 825.45669528866563,
+ 832.61123001644864,
+ 839.78116748561604,
+ 846.96644180120552,
+ 854.16698776853514,
+ 861.38274088137143,
+ 868.61363731036977,
+ 875.85961389178203,
+ 883.12060811641959,
+ 890.39655811886757,
+ 897.68740266694181,
+ 904.99308115138172,
+ 912.31353357577188,
+ 919.64870054668756,
+ 926.99852326405619,
+ 934.36294351172899,
+ 941.74190364825859,
+ 949.13534659787422,
+ 956.54321584165211,
+ 963.96545540887348,
+ 971.40200986856541,
+ 978.85282432122176,
+ 986.31784439069588,
+ 993.7970162162635,
+ 1001.29028644485,
+ 1008.797602223418,
+ 1016.3189111915103,
+ 1023.8541614739464,
+ 1031.4033016736653,
+ 1038.9662808647138,
+ 1046.5430485853758,
+ 1054.1335548314366,
+ 1061.7377500495838,
+ 1069.3555851309357,
+ 1076.9870114046978,
+ 1084.6319806319441,
+ 1092.2904449995174,
+ 1099.9623571140482,
+ 1107.6476699960892,
+ 1115.3463370743607,
+ 1123.058312180106,
+ 1130.7835495415541,
+ 1138.5220037784854,
+ 1146.273629896901,
+ 1154.0383832837879,
+ 1161.816219701986,
+ 1169.607095285146,
+ 1177.4109665327808,
+ 1185.2277903054078,
+ 1193.0575238197798,
+ 1200.9001246442001,
+ 1208.7555506939248,
+ 1216.6237602266442,
+ 1224.5047118380478,
+ 1232.3983644574657,
+ 1240.3046773435874,
+ 1248.2236100802568,
+ 1256.1551225723395,
+ 1264.099175041662,
+ 1272.0557280230228,
+ 1280.0247423602691,
+ 1288.0061792024444,
+ 1295.9999999999995,
+ 1304.006166501068,
+ 1312.0246407478062,
+ 1320.0553850727929,
+ 1328.0983620954903,
+ 1336.1535347187651,
+ 1344.2208661254647,
+ 1352.3003197750522,
+ 1360.3918594002962,
+ 1368.4954490040145,
+ 1376.6110528558709,
+ 1384.7386354892244,
+ 1392.8781616980295,
+ 1401.0295965337855,
+ 1409.1929053025353,
+ 1417.3680535619119,
+ 1425.5550071182327,
+ 1433.7537320236374,
+ 1441.9641945732744,
+ 1450.1863613025282,
+ 1458.4201989842913,
+ 1466.6656746262797,
+ 1474.9227554683875,
+ 1483.1914089800841,
+ 1491.4716028578516,
+ 1499.7633050226596,
+ 1508.0664836174794,
+ 1516.3811070048375,
+ 1524.7071437644029,
+ 1533.0445626906128,
+ 1541.3933327903342,
+ 1549.7534232805581,
+ 1558.1248035861302,
+ 1566.507443337515,
+ 1574.9013123685909,
+ 1583.3063807144795,
+ 1591.7226186094069,
+ 1600.1499964845941,
+ 1608.58848496618,
+ 1617.0380548731737,
+ 1625.4986772154357,
+ 1633.9703231916887,
+ 1642.4529641875577,
+ 1650.9465717736346,
+ 1659.4511177035752,
+ 1667.9665739122186,
+ 1676.4929125137353,
+ 1685.030105799801,
+ 1693.5781262377957,
+ 1702.136946469027,
+ 1710.7065393069795,
+ 1719.2868777355877,
+ 1727.8779349075323,
+ 1736.4796841425596,
+ 1745.092098925825,
+ 1753.7151529062583,
+ 1762.3488198949503,
+ 1770.9930738635628,
+ 1779.6478889427597,
+ 1788.3132394206564,
+ 1796.9890997412947,
+ 1805.6754445031333,
+ 1814.3722484575621,
+ 1823.0794865074322,
+ 1831.7971337056094,
+ 1840.5251652535437,
+ 1849.2635564998579,
+ 1858.0122829389563,
+ 1866.7713202096493,
+ 1875.5406440937966,
+ 1884.3202305149687,
+ 1893.110055537124,
+ 1901.9100953633042,
+ 1910.7203263343454,
+ 1919.5407249276057,
+ 1928.3712677557098,
+ 1937.2119315653083,
+ 1946.0626932358525,
+ 1954.923529778386,
+ 1963.79441833435,
+ 1972.6753361744036,
+ 1981.5662606972594,
+ 1990.467169428533,
+ 1999.3780400196069,
+ 2008.2988502465078,
+ 2017.2295780087982,
+ 2026.1702013284819,
+ 2035.1206983489212,
+ 2044.0810473337688,
+ 2053.0512266659125,
+ 2062.0312148464309,
+ 2071.0209904935646,
+ 2080.0205323416958,
+ 2089.0298192403443,
+ 2098.0488301531714,
+ 2107.0775441569995,
+ 2116.115940440839,
+ 2125.1639983049317,
+ 2134.2216971597995,
+ 2143.2890165253098,
+ 2152.3659360297484,
+ 2161.4524354089031,
+ 2170.5484945051617,
+ 2179.6540932666144,
+ 2188.7692117461711,
+ 2197.8938301006888,
+ 2207.0279285901042,
+ 2216.1714875765838,
+ 2225.324487523676,
+ 2234.4869089954782,
+ 2243.6587326558101,
+ 2252.8399392673982,
+ 2262.0305096910702,
+ 2271.2304248849537,
+ 2280.4396659036897,
+ 2289.6582138976523,
+ 2298.8860501121762,
+ 2308.1231558867926,
+ 2317.3695126544767,
+ 2326.6251019409005,
+ 2335.8899053636933,
+ 2345.1639046317132,
+ 2354.4470815443233,
+ 2363.7394179906792,
+ 2373.0408959490205,
+ 2382.3514974859731,
+ 2391.6712047558558,
+ 2400.9999999999991,
+ 2410.3378655460651,
+ 2419.6847838073813,
+ 2429.0407372822747,
+ 2438.4057085534191,
+ 2447.7796802871858,
+ 2457.1626352330004,
+ 2466.5545562227112,
+ 2475.9554261699564,
+ 2485.3652280695474,
+ 2494.7839449968492,
+ 2504.2115601071737,
+ 2513.6480566351788,
+ 2523.0934178942675,
+ 2532.5476272760025,
+ 2542.0106682495189,
+ 2551.482524360948,
+ 2560.9631792328441,
+ 2570.4526165636184,
+ 2579.9508201269791,
+ 2589.4577737713744,
+ 2598.9734614194458,
+ 2608.4978670674823,
+ 2618.0309747848837,
+ 2627.5727687136259,
+ 2637.1232330677353,
+ 2646.6823521327647,
+ 2656.2501102652768,
+ 2665.8264918923328,
+ 2675.4114815109842,
+ 2685.0050636877722,
+ 2694.6072230582295,
+ 2704.2179443263894,
+ 2713.8372122642972,
+ 2723.4650117115279,
+ 2733.1013275747096,
+ 2742.7461448270483,
+ 2752.3994485078601,
+ 2762.0612237221085,
+ 2771.7314556399419,
+ 2781.4101294962406,
+ 2791.0972305901655,
+ 2800.7927442847094,
+ 2810.4966560062589,
+ 2820.2089512441521,
+ 2829.9296155502466,
+ 2839.6586345384894,
+ 2849.3959938844923,
+ 2859.1416793251065,
+ 2868.8956766580086,
+ 2878.6579717412847,
+ 2888.4285504930212,
+ 2898.2073988908974,
+ 2907.9945029717837,
+ 2917.789848831344,
+ 2927.5934226236377,
+ 2937.4052105607311,
+ 2947.2251989123079,
+ 2957.0533740052865,
+ 2966.8897222234368,
+ 2976.734230007005,
+ 2986.5868838523397,
+ 2996.4476703115197,
+ 3006.3165759919889,
+ 3016.1935875561908,
+ 3026.0786917212095,
+ 3035.9718752584108,
+ 3045.8731249930906,
+ 3055.7824278041207,
+ 3065.6997706236039,
+ 3075.625140436528,
+ 3085.5585242804245,
+ 3095.4999092450298,
+ 3105.4492824719491,
+ 3115.4066311543256,
+ 3125.3719425365089,
+ 3135.3452039137287,
+ 3145.3264026317715,
+ 3155.3155260866592,
+ 3165.3125617243295,
+ 3175.3174970403229,
+ 3185.3303195794679,
+ 3195.35101693557,
+ 3205.3795767511078,
+ 3215.4159867169251,
+ 3225.460234571929,
+ 3235.5123081027928,
+ 3245.5721951436558,
+ 3255.63988357583,
+ 3265.7153613275095,
+ 3275.7986163734795,
+ 3285.8896367348289,
+ 3295.9884104786665,
+ 3306.0949257178395,
+ 3316.2091706106517,
+ 3326.331133360588,
+ 3336.4608022160378,
+ 3346.5981654700231,
+ 3356.7432114599264,
+ 3366.8959285672249,
+ 3377.0563052172211,
+ 3387.2243298787821,
+ 3397.3999910640764,
+ 3407.5832773283128,
+ 3417.7741772694862,
+ 3427.9726795281199,
+ 3438.1787727870123,
+ 3448.3924457709873,
+ 3458.6136872466445,
+ 3468.8424860221107,
+ 3479.0788309467976,
+ 3489.3227109111554,
+ 3499.5741148464344,
+ 3509.8330317244445,
+ 3520.0994505573185,
+ 3530.3733603972751,
+ 3540.6547503363886,
+ 3550.9436095063534,
+ 3561.239927078258,
+ 3571.5436922623535,
+ 3581.8548943078308,
+ 3592.1735225025936,
+ 3602.4995661730372,
+ 3612.8330146838275,
+ 3623.1738574376814,
+ 3633.5220838751502,
+ 3643.8776834744031,
+ 3654.2406457510142,
+ 3664.6109602577494,
+ 3674.9886165843564,
+ 3685.3736043573545,
+ 3695.7659132398294,
+ 3706.1655329312248,
+ 3716.5724531671399,
+ 3726.9866637191262,
+ 3737.4081543944876,
+ 3747.8369150360782,
+ 3758.2729355221072,
+ 3768.7162057659411,
+ 3779.1667157159077,
+ 3789.6244553551055,
+ 3800.0894147012082,
+ 3810.5615838062768,
+ 3821.0409527565694,
+ 3831.5275116723533,
+ 3842.0212507077194,
+ 3852.522160050396,
+ 3863.0302299215673,
+ 3873.5454505756893,
+ 3884.0678123003108,
+ 3894.5973054158922,
+ 3905.1339202756285,
+ 3915.6776472652732,
+ 3926.2284768029604,
+ 3936.7863993390338,
+ 3947.3514053558706,
+ 3957.9234853677135,
+ 3968.5026299204969,
+ 3979.0888295916798,
+ 3989.6820749900776,
+ 4000.2823567556948,
+ 4010.8896655595613,
+ 4021.5039921035655,
+ 4032.1253271202945,
+ 4042.7536613728694,
+ 4053.3889856547858,
+ 4064.0312907897551,
+ 4074.6805676315448,
+ 4085.3368070638221,
+ 4095.9999999999982,
+ 4106.6701373830711,
+ 4117.347210185475,
+ 4128.0312094089259,
+ 4138.722126084268,
+ 4149.4199512713267,
+ 4160.1246760587583,
+ 4170.8362915638982,
+ 4181.5547889326181,
+ 4192.2801593391769,
+ 4203.0123939860741,
+ 4213.7514841039101,
+ 4224.4974209512384,
+ 4235.2501958144258,
+ 4246.0098000075095,
+ 4256.7762248720574,
+ 4267.549461777031,
+ 4278.3295021186423,
+ 4289.1163373202198,
+ 4299.9099588320714,
+ 4310.7103581313495,
+ 4321.5175267219138,
+ 4332.3314561342004,
+ 4343.152137925088,
+ 4353.9795636777671,
+ 4364.8137250016052,
+ 4375.6546135320223,
+ 4386.5022209303588,
+ 4397.3565388837469,
+ 4408.2175591049827,
+ 4419.0852733324018,
+ 4429.9596733297531,
+ 4440.8407508860728,
+ 4451.7284978155603,
+ 4462.6229059574571,
+ 4473.5239671759227,
+ 4484.4316733599126,
+ 4495.3460164230582,
+ 4506.2669883035496,
+ 4517.1945809640119,
+ 4528.1287863913894,
+ 4539.069596596828,
+ 4550.0170036155587,
+ 4560.9709995067806,
+ 4571.931576353546,
+ 4582.898726262647,
+ 4593.8724413645004,
+ 4604.8527138130348,
+ 4615.8395357855816,
+ 4626.8328994827571,
+ 4637.8327971283588,
+ 4648.8392209692511,
+ 4659.8521632752563,
+ 4670.8716163390473,
+ 4681.8975724760394,
+ 4692.9300240242837,
+ 4703.9689633443595,
+ 4715.0143828192668,
+ 4726.0662748543255,
+ 4737.1246318770682,
+ 4748.1894463371373,
+ 4759.2607107061804,
+ 4770.3384174777493,
+ 4781.4225591671993,
+ 4792.5131283115852,
+ 4803.6101174695614,
+ 4814.7135192212854,
+ 4825.8233261683154,
+ 4836.9395309335096,
+ 4848.0621261609349,
+ 4859.1911045157631,
+ 4870.3264586841779,
+ 4881.4681813732768,
+ 4892.6162653109768,
+ 4903.7707032459193,
+ 4914.931487947375,
+ 4926.0986122051509,
+ 4937.2720688294967,
+ 4948.4518506510112,
+ 4959.637950520555,
+ 4970.8303613091521,
+ 4982.0290759079044,
+ 4993.2340872278974,
+ 5004.4453882001153,
+ 5015.6629717753467,
+ 5026.8868309241007,
+ 5038.1169586365131,
+ 5049.353347922266,
+ 5060.5959918104927,
+ 5071.8448833496996,
+ 5083.1000156076734,
+ 5094.3613816713996,
+ 5105.6289746469747,
+ 5116.9027876595246,
+ 5128.18281385312,
+ 5139.4690463906918,
+ 5150.7614784539473,
+ 5162.0601032432933,
+ 5173.3649139777472,
+ 5184.6759038948594,
+ 5195.9930662506322,
+ 5207.3163943194386,
+ 5218.6458813939435,
+ 5229.9815207850224,
+ 5241.3233058216847,
+ 5252.6712298509919,
+ 5264.025286237983,
+ 5275.3854683655954,
+ 5286.7517696345885,
+ 5298.1241834634639,
+ 5309.5027032883945,
+ 5320.887322563146,
+ 5332.2780347589978,
+ 5343.6748333646756,
+ 5355.0777118862716,
+ 5366.4866638471722,
+ 5377.901682787985,
+ 5389.3227622664635,
+ 5400.749895857437,
+ 5412.1830771527357,
+ 5423.622299761123,
+ 5435.067557308219,
+ 5446.5188434364318,
+ 5457.9761518048872,
+ 5469.4394760893592,
+ 5480.9088099821975,
+ 5492.3841471922606,
+ 5503.8654814448455,
+ 5515.3528064816201,
+ 5526.846116060552,
+ 5538.3454039558474,
+ 5549.8506639578736,
+ 5561.3618898731029,
+ 5572.8790755240361,
+ 5584.4022147491451,
+ 5595.9313014027975,
+ 5607.4663293552012,
+ 5619.0072924923297,
+ 5630.5541847158656,
+ 5642.1069999431284,
+ 5653.665732107017,
+ 5665.230375155943,
+ 5676.8009230537655,
+ 5688.3773697797333,
+ 5699.9597093284156,
+ 5711.5479357096474,
+ 5723.1420429484588,
+ 5734.7420250850209,
+ 5746.347876174581,
+ 5757.9595902874016,
+ 5769.5771615087006,
+ 5781.2005839385911,
+ 5792.8298516920213,
+ 5804.4649588987149,
+ 5816.1058997031105,
+ 5827.7526682643065,
+ 5839.4052587559972,
+ 5851.0636653664196,
+ 5862.7278822982908,
+ 5874.3979037687541,
+ 5886.0737240093204,
+ 5897.7553372658094,
+ 5909.4427377982956,
+ 5921.1359198810505,
+ 5932.8348778024874,
+ 5944.5396058651031,
+ 5956.2500983854261,
+ 5967.9663496939575,
+ 5979.6883541351208,
+ 5991.4161060672022,
+ 6003.1495998623004,
+ 6014.8888299062692,
+ 6026.6337905986684,
+ 6038.3844763527022,
+ 6050.1408815951781,
+ 6061.9030007664414,
+ 6073.6708283203316,
+ 6085.4443587241267,
+ 6097.2235864584891,
+ 6109.0085060174197,
+ 6120.7991119081998,
+ 6132.595398651345,
+ 6144.3973607805519,
+ 6156.2049928426459,
+ 6168.0182893975361,
+ 6179.8372450181578,
+ 6191.6618542904307,
+ 6203.4921118132024,
+ 6215.3280121982016,
+ 6227.1695500699925,
+ 6239.0167200659189,
+ 6250.8695168360628,
+ 6262.7279350431891,
+ 6274.5919693627056,
+ 6286.4616144826068,
+ 6298.3368651034316,
+ 6310.2177159382172,
+ 6322.1041617124456,
+ 6333.9961971640032,
+ 6345.8938170431311,
+ 6357.7970161123785,
+ 6369.7057891465583,
+ 6381.6201309327007,
+ 6393.5400362700075,
+ 6405.4654999698032,
+ 6417.3965168554978,
+ 6429.3330817625329,
+ 6441.2751895383453,
+ 6453.2228350423138,
+ 6465.176013145724,
+ 6477.134718731716,
+ 6489.0989466952469,
+ 6501.0686919430445,
+ 6513.0439493935628,
+ 6525.0247139769417,
+ 6537.010980634961,
+ 6549.002744321001,
+ 6560.9999999999973,
+ 6573.0027426483985,
+ 6585.0109672541284,
+ 6597.0246688165371,
+ 6609.0438423463656,
+ 6621.0684828657004,
+ 6633.0985854079354,
+ 6645.134145017727,
+ 6657.1751567509573,
+ 6669.2216156746908,
+ 6681.2735168671343,
+ 6693.3308554176001,
+ 6705.3936264264594,
+ 6717.461825005108,
+ 6729.535446275926,
+ 6741.6144853722335,
+ 6753.6989374382601,
+ 6765.7887976290967,
+ 6777.8840611106634,
+ 6789.9847230596661,
+ 6802.0907786635626,
+ 6814.2022231205201,
+ 6826.3190516393797,
+ 6838.4412594396181,
+ 6850.5688417513074,
+ 6862.701793815083,
+ 6874.840110882099,
+ 6886.9837882139991,
+ 6899.1328210828724,
+ 6911.2872047712199,
+ 6923.4469345719199,
+ 6935.6120057881863,
+ 6947.7824137335365,
+ 6959.9581537317536,
+ 6972.1392211168532,
+ 6984.3256112330409,
+ 6996.5173194346862,
+ 7008.7143410862773,
+ 7020.9166715623942,
+ 7033.1243062476678,
+ 7045.3372405367481,
+ 7057.5554698342685,
+ 7069.7789895548103,
+ 7082.0077951228714,
+ 7094.2418819728273,
+ 7106.4812455489018,
+ 7118.7258813051285,
+ 7130.9757847053224,
+ 7143.2309512230404,
+ 7155.4913763415516,
+ 7167.7570555538041,
+ 7180.0279843623894,
+ 7192.3041582795131,
+ 7204.5855728269571,
+ 7216.8722235360519,
+ 7229.1641059476406,
+ 7241.4612156120484,
+ 7253.7635480890503,
+ 7266.0710989478375,
+ 7278.3838637669869,
+ 7290.7018381344296,
+ 7303.0250176474174,
+ 7315.3533979124932,
+ 7327.6869745454596,
+ 7340.0257431713462,
+ 7352.3696994243801,
+ 7364.7188389479543,
+ 7377.0731573945968,
+ 7389.4326504259407,
+ 7401.7973137126937,
+ 7414.1671429346061,
+ 7426.5421337804428,
+ 7438.922281947951,
+ 7451.3075831438346,
+ 7463.6980330837177,
+ 7476.0936274921214,
+ 7488.4943621024304,
+ 7500.9002326568652,
+ 7513.3112349064522,
+ 7525.7273646109943,
+ 7538.1486175390446,
+ 7550.5749894678729,
+ 7563.0064761834419,
+ 7575.4430734803736,
+ 7587.8847771619248,
+ 7600.3315830399597,
+ 7612.7834869349153,
+ 7625.24048467578,
+ 7637.7025721000637,
+ 7650.1697450537677,
+ 7662.6419993913596,
+ 7675.1193309757446,
+ 7687.6017356782404,
+ 7700.0892093785433,
+ 7712.5817479647112,
+ 7725.079347333125,
+ 7737.5820033884729,
+ 7750.0897120437139,
+ 7762.6024692200581,
+ 7775.1202708469355,
+ 7787.6431128619733,
+ 7800.1709912109645,
+ 7812.7039018478481,
+ 7825.2418407346768,
+ 7837.7848038415968,
+ 7850.3327871468155,
+ 7862.8857866365806,
+ 7875.4437983051539,
+ 7888.006818154784,
+ 7900.5748421956796,
+ 7913.1478664459901,
+ 7925.725886931772,
+ 7938.3088996869719,
+ 7950.8969007533951,
+ 7963.4898861806851,
+ 7976.0878520262959,
+ 7988.6907943554688,
+ 8001.2987092412086,
+ 8013.911592764257,
+ 8026.5294410130691,
+ 8039.1522500837891,
+ 8051.7800160802271,
+ 8064.412735113835,
+ 8077.0504033036796,
+ 8089.6930167764222,
+ 8102.3405716662946,
+ 8114.9930641150731,
+ 8127.6504902720571,
+ 8140.3128462940449,
+ 8152.9801283453098,
+ 8165.6523325975786,
+ 8178.3294552300049,
+ 8191.0114924291529,
+ 8203.6984403889655,
+ 8216.3902953107463,
+ 8229.0870534031419,
+ 8241.7887108821069,
+ 8254.4952639708936,
+ 8267.2067089000211,
+ 8279.9230419072574,
+ 8292.6442592375952,
+ 8305.3703571432306,
+ 8318.101331883543,
+ 8330.8371797250657,
+ 8343.577896941475,
+ 8356.3234798135582,
+ 8369.0739246291978,
+ 8381.8292276833508,
+ 8394.5893852780209,
+ 8407.3543937222421,
+ 8420.1242493320569,
+ 8432.8989484304948,
+ 8445.6784873475499,
+ 8458.4628624201578,
+ 8471.2520699921806,
+ 8484.0461064143838,
+ 8496.8449680444082,
+ 8509.6486512467636,
+ 8522.4571523927953,
+ 8535.270467860666,
+ 8548.0885940353437,
+ 8560.9115273085663,
+ 8573.7392640788403,
+ 8586.5718007514006,
+ 8599.4091337382069,
+ 8612.2512594579148,
+ 8625.0981743358552,
+ 8637.9498748040205,
+ 8650.8063573010386,
+ 8663.6676182721567,
+ 8676.533654169225,
+ 8689.4044614506638,
+ 8702.2800365814601,
+ 8715.1603760331418,
+ 8728.0454762837508,
+ 8740.9353338178389,
+ 8753.8299451264356,
+ 8766.7293067070332,
+ 8779.6334150635721,
+ 8792.5422667064158,
+ 8805.4558581523324,
+ 8818.3741859244819,
+ 8831.2972465523908,
+ 8844.2250365719356,
+ 8857.1575525253265,
+ 8870.0947909610859,
+ 8883.0367484340295,
+ 8895.9834215052524,
+ 8908.934806742107,
+ 8921.8909007181846,
+ 8934.8517000132997,
+ 8947.817201213471,
8960.7874009109,
- 8973.7622957040,
- 8986.7418821972,
- 8999.7261570012,
- 9012.7151167328,
- 9025.7087580148,
- 9038.7070774762,
- 9051.7100717521,
- 9064.7177374833,
- 9077.7300713171,
- 9090.7470699065,
- 9103.7687299106,
- 9116.7950479945,
- 9129.8260208291,
- 9142.8616450914,
- 9155.9019174644,
- 9168.9468346367,
- 9181.9963933031,
- 9195.0505901642,
- 9208.1094219263,
- 9221.1728853017,
- 9234.2409770084,
- 9247.3136937704,
- 9260.3910323173,
- 9273.4729893846,
- 9286.5595617135,
- 9299.6507460510,
- 9312.7465391496,
- 9325.8469377679,
- 9338.9519386698,
- 9352.0615386252,
- 9365.1757344094,
- 9378.2945228036,
- 9391.4179005944,
- 9404.5458645741,
- 9417.6784115407,
- 9430.8155382977,
- 9443.9572416540,
- 9457.1035184244,
- 9470.2543654290,
- 9483.4097794934,
- 9496.5697574489,
- 9509.7342961321,
- 9522.9033923851,
- 9536.0770430556,
- 9549.2552449966,
- 9562.4379950666,
- 9575.6252901295,
- 9588.8171270546,
- 9602.0135027165,
- 9615.2144139955,
- 9628.4198577767,
- 9641.6298309511,
- 9654.8443304146,
- 9668.0633530688,
- 9681.2868958202,
- 9694.5149555808,
- 9707.7475292679,
- 9720.9846138040,
- 9734.2262061168,
- 9747.4723031393,
- 9760.7229018097,
- 9773.9779990712,
- 9787.2375918726,
- 9800.5016771674,
- 9813.7702519147,
- 9827.0433130783,
- 9840.3208576275,
- 9853.6028825365,
- 9866.8893847847,
- 9880.1803613565,
- 9893.4758092415,
- 9906.7757254342,
- 9920.0801069342,
- 9933.3889507462,
- 9946.7022538799,
- 9960.0200133500,
- 9973.3422261761,
- 9986.6688893829,
- 10000.0000000000,
- 10013.3355550619,
- 10026.6755516082,
- 10040.0199866833,
- 10053.3688573365,
- 10066.7221606221,
- 10080.0798935991,
- 10093.4420533317,
- 10106.8086368886,
- 10120.1796413436,
- 10133.5550637751,
- 10146.9349012666,
- 10160.3191509062,
- 10173.7078097869,
- 10187.1008750065,
- 10200.4983436674,
- 10213.9002128770,
- 10227.3064797472,
- 10240.7171413949,
- 10254.1321949415,
- 10267.5516375131,
- 10280.9754662408,
- 10294.4036782600,
- 10307.8362707111,
- 10321.2732407388,
- 10334.7145854928
+ 8973.7622957039603,
+ 8986.7418821971733,
+ 8999.7261570011924,
+ 9012.7151167327884,
+ 9025.7087580148236,
+ 9038.7070774762469,
+ 9051.7100717520643,
+ 9064.7177374833282,
+ 9077.7300713171153,
+ 9090.7470699065179,
+ 9103.7687299106146,
+ 9116.7950479944648,
+ 9129.8260208290812,
+ 9142.8616450914233,
+ 9155.9019174643727,
+ 9168.9468346367157,
+ 9181.9963933031358,
+ 9195.0505901641845,
+ 9208.1094219262741,
+ 9221.1728853016557,
+ 9234.240977008405,
+ 9247.3136937704076,
+ 9260.3910323173386,
+ 9273.472989384647,
+ 9286.5595617135423,
+ 9299.6507460509747,
+ 9312.7465391496207,
+ 9325.8469377678684,
+ 9338.9519386698012,
+ 9352.0615386251757,
+ 9365.1757344094131,
+ 9378.2945228035842,
+ 9391.4179005943843,
+ 9404.5458645741273,
+ 9417.6784115407263,
+ 9430.8155382976747,
+ 9443.9572416540359,
+ 9457.1035184244265,
+ 9470.2543654290002,
+ 9483.4097794934296,
+ 9496.5697574488931,
+ 9509.7342961320664,
+ 9522.9033923850911,
+ 9536.0770430555804,
+ 9549.2552449965824,
+ 9562.4379950665825,
+ 9575.6252901294793,
+ 9588.8171270545736,
+ 9602.0135027165488,
+ 9615.2144139954635,
+ 9628.4198577767274,
+ 9641.629830951093,
+ 9654.844330414644,
+ 9668.0633530687719,
+ 9681.286895820167,
+ 9694.5149555808002,
+ 9707.7475292679192,
+ 9720.9846138040157,
+ 9734.2262061168276,
+ 9747.4723031393187,
+ 9760.7229018096641,
+ 9773.9779990712323,
+ 9787.2375918725811,
+ 9800.5016771674327,
+ 9813.7702519146696,
+ 9827.0433130783094,
+ 9840.3208576275028,
+ 9853.602882536512,
+ 9866.8893847846994,
+ 9880.1803613565116,
+ 9893.4758092414686,
+ 9906.7757254341523,
+ 9920.0801069341851,
+ 9933.3889507462245,
+ 9946.7022538799429,
+ 9960.0200133500221,
+ 9973.3422261761298,
+ 9986.6688893829159,
+ 9999.9999999999945,
+ 10013.335555061929,
+ 10026.675551608221,
+ 10040.019986683301,
+ 10053.368857336509,
+ 10066.722160622081,
+ 10080.079893599144,
+ 10093.442053331697,
+ 10106.808636888598,
+ 10120.179641343551,
+ 10133.555063775095,
+ 10146.934901266595,
+ 10160.31915090622,
+ 10173.707809786936,
+ 10187.100875006496,
+ 10200.498343667417,
+ 10213.900212876984,
+ 10227.306479747222,
+ 10240.717141394889,
+ 10254.132194941467,
+ 10267.551637513146,
+ 10280.975466240814,
+ 10294.40367826004,
+ 10307.836270711066,
+ 10321.273240738796,
+ 10334.71458549278,
+ 10348.160302127204,
+ 10361.610387800878,
+ 10375.064839677221,
+ 10388.523654924258,
+ 10401.986830714593,
+ 10415.454364225412,
+ 10428.926252638465,
+ 10442.402493140049,
+ 10455.883082921007,
+ 10469.368019176709,
+ 10482.85729910704,
+ 10496.350919916393,
+ 10509.848878813653,
+ 10523.351173012188,
+ 10536.857799729838,
+ 10550.3687561889,
+ 10563.884039616123,
+ 10577.403647242685,
+ 10590.927576304197,
+ 10604.455824040679,
+ 10617.988387696556,
+ 10631.525264520642,
+ 10645.066451766135,
+ 10658.611946690598,
+ 10672.161746555956,
+ 10685.715848628475,
+ 10699.274250178762,
+ 10712.836948481747,
+ 10726.403940816675,
+ 10739.975224467091,
+ 10753.550796720834,
+ 10767.130654870027,
+ 10780.714796211059,
+ 10794.303218044579,
+ 10807.895917675487,
+ 10821.492892412922,
+ 10835.094139570248,
+ 10848.699656465047,
+ 10862.309440419107,
+ 10875.923488758415,
+ 10889.541798813138,
+ 10903.16436791762,
+ 10916.791193410372,
+ 10930.422272634056,
+ 10944.05760293548,
+ 10957.697181665582,
+ 10971.341006179427,
+ 10984.98907383619,
+ 10998.641381999149,
+ 11012.297928035676,
+ 11025.958709317223,
+ 11039.623723219316,
+ 11053.292967121541,
+ 11066.966438407539,
+ 11080.64413446499,
+ 11094.326052685608,
+ 11108.012190465128,
+ 11121.702545203296,
+ 11135.397114303863,
+ 11149.095895174571,
+ 11162.798885227143,
+ 11176.506081877278,
+ 11190.217482544635,
+ 11203.933084652828,
+ 11217.652885629415,
+ 11231.376882905886,
+ 11245.105073917659,
+ 11258.837456104062,
+ 11272.574026908333,
+ 11286.314783777601,
+ 11300.059724162888,
+ 11313.808845519083,
+ 11327.562145304952,
+ 11341.319620983111,
+ 11355.081270020033,
+ 11368.847089886023,
+ 11382.617078055218,
+ 11396.391232005579,
+ 11410.169549218874,
+ 11423.952027180676,
+ 11437.738663380349,
+ 11451.529455311042,
+ 11465.324400469679,
+ 11479.123496356951,
+ 11492.926740477304,
+ 11506.734130338931,
+ 11520.545663453764,
+ 11534.361337337466,
+ 11548.181149509423,
+ 11562.005097492724,
+ 11575.83317881417,
+ 11589.665391004253,
+ 11603.501731597149,
+ 11617.342198130715,
+ 11631.186788146468,
+ 11645.035499189589,
+ 11658.888328808911,
+ 11672.745274556904,
+ 11686.606333989675,
+ 11700.471504666955,
+ 11714.340784152086,
+ 11728.214170012021,
+ 11742.091659817312,
+ 11755.973251142101,
+ 11769.858941564111,
+ 11783.748728664636,
+ 11797.642610028539,
+ 11811.540583244237,
+ 11825.442645903697,
+ 11839.34879560242,
+ 11853.259029939445,
+ 11867.173346517333,
+ 11881.091742942155,
+ 11895.014216823492,
+ 11908.940765774427,
+ 11922.871387411526,
+ 11936.806079354839,
+ 11950.744839227897,
+ 11964.687664657684,
+ 11978.634553274653,
+ 11992.585502712702,
+ 12006.540510609168,
+ 12020.499574604828,
+ 12034.462692343877,
+ 12048.429861473938,
+ 12062.401079646032,
+ 12076.376344514589,
+ 12090.355653737433,
+ 12104.339004975769,
+ 12118.326395894188,
+ 12132.317824160644,
+ 12146.313287446457,
+ 12160.312783426305,
+ 12174.316309778205,
+ 12188.323864183525,
+ 12202.335444326955,
+ 12216.351047896511,
+ 12230.370672583531,
+ 12244.394316082657,
+ 12258.421976091831,
+ 12272.453650312296,
+ 12286.489336448574,
+ 12300.529032208471,
+ 12314.572735303058,
+ 12328.620443446678,
+ 12342.672154356922,
+ 12356.727865754638,
+ 12370.787575363909,
+ 12384.851280912055,
+ 12398.918980129623,
+ 12412.990670750381,
+ 12427.066350511306,
+ 12441.146017152583,
+ 12455.229668417589,
+ 12469.317302052901,
+ 12483.40891580827,
+ 12497.50450743663,
+ 12511.604074694078,
+ 12525.707615339878,
+ 12539.815127136444,
+ 12553.926607849342,
+ 12568.042055247275,
+ 12582.161467102082,
+ 12596.284841188726,
+ 12610.41217528529,
+ 12624.543467172971,
+ 12638.678714636069,
+ 12652.817915461985,
+ 12666.961067441209,
+ 12681.108168367316,
+ 12695.259216036962,
+ 12709.414208249869,
+ 12723.573142808827,
+ 12737.736017519681,
+ 12751.902830191326,
+ 12766.073578635704,
+ 12780.248260667788,
+ 12794.426874105588,
+ 12808.609416770132,
+ 12822.795886485468,
+ 12836.986281078653,
+ 12851.180598379744,
+ 12865.378836221802,
+ 12879.580992440871,
+ 12893.787064875984,
+ 12907.997051369144,
+ 12922.210949765335,
+ 12936.428757912496,
+ 12950.650473661524,
+ 12964.876094866273,
+ 12979.105619383534,
+ 12993.339045073039,
+ 13007.576369797454,
+ 13021.817591422368,
+ 13036.062707816285,
+ 13050.311716850629,
+ 13064.564616399723,
+ 13078.821404340792,
+ 13093.082078553954,
+ 13107.346636922217,
+ 13121.615077331464,
+ 13135.887397670458,
+ 13150.163595830827,
+ 13164.44366970706,
+ 13178.727617196502,
+ 13193.015436199352,
+ 13207.307124618648,
+ 13221.602680360265,
+ 13235.902101332911,
+ 13250.205385448118,
+ 13264.512530620239,
+ 13278.823534766434,
+ 13293.138395806676,
+ 13307.457111663734,
+ 13321.779680263176,
+ 13336.106099533356,
+ 13350.436367405409,
+ 13364.77048181325,
+ 13379.108440693562,
+ 13393.450241985796,
+ 13407.795883632158,
+ 13422.145363577607,
+ 13436.498679769853,
+ 13450.855830159346,
+ 13465.216812699266,
+ 13479.581625345529,
+ 13493.950266056772,
+ 13508.32273279435,
+ 13522.699023522329,
+ 13537.079136207483,
+ 13551.463068819286,
+ 13565.850819329906,
+ 13580.2423857142,
+ 13594.63776594971,
+ 13609.036958016657,
+ 13623.439959897927,
+ 13637.846769579081,
+ 13652.257385048335,
+ 13666.67180429656,
+ 13681.090025317284,
+ 13695.512046106669,
+ 13709.937864663521,
+ 13724.367478989278,
+ 13738.800887088004,
+ 13753.238086966385,
+ 13767.679076633727,
+ 13782.123854101939,
+ 13796.572417385545,
+ 13811.024764501659,
+ 13825.480893469998,
+ 13839.94080231286,
+ 13854.404489055134,
+ 13868.871951724283,
+ 13883.34318835034,
+ 13897.818196965914,
+ 13912.296975606168,
+ 13926.779522308825,
+ 13941.26583511416,
+ 13955.755912064991,
+ 13970.249751206682,
+ 13984.747350587126,
+ 13999.248708256751,
+ 14013.753822268511,
+ 14028.262690677873,
+ 14042.775311542828,
+ 14057.291682923867,
+ 14071.811802883994,
+ 14086.335669488704,
+ 14100.863280805994,
+ 14115.394634906341,
+ 14129.92972986271,
+ 14144.468563750548,
+ 14159.01113464777,
+ 14173.55744063476,
+ 14188.107479794369,
+ 14202.661250211901,
+ 14217.218749975118,
+ 14231.779977174227,
+ 14246.344929901879,
+ 14260.913606253163,
+ 14275.486004325601,
+ 14290.062122219146,
+ 14304.641958036171,
+ 14319.225509881464,
+ 14333.812775862236,
+ 14348.403754088098,
+ 14362.998442671067,
+ 14377.59683972556,
+ 14392.198943368388,
+ 14406.804751718748,
+ 14421.414262898223,
+ 14436.027475030774,
+ 14450.64438624274,
+ 14465.264994662828,
+ 14479.889298422106,
+ 14494.517295654005,
+ 14509.148984494313,
+ 14523.784363081166,
+ 14538.423429555049,
+ 14553.066182058781,
+ 14567.712618737527,
+ 14582.362737738777,
+ 14597.016537212348,
+ 14611.674015310382,
+ 14626.33517018734,
+ 14640.999999999993,
+ 14655.668502907418,
+ 14670.340677071003,
+ 14685.016520654426,
+ 14699.696031823671,
+ 14714.379208746999,
+ 14729.066049594967,
+ 14743.756552540408,
+ 14758.45071575843,
+ 14773.148537426418,
+ 14787.850015724018,
+ 14802.555148833142,
+ 14817.263934937961,
+ 14831.976372224897,
+ 14846.692458882624,
+ 14861.41219310206,
+ 14876.135573076363,
+ 14890.862597000923,
+ 14905.593263073371,
+ 14920.327569493558,
+ 14935.065514463557,
+ 14949.807096187662,
+ 14964.552312872382,
+ 14979.301162726431,
+ 14994.053643960735,
+ 15008.809754788414,
+ 15023.569493424788,
+ 15038.332858087369,
+ 15053.099846995858,
+ 15067.870458372134,
+ 15082.644690440264,
+ 15097.422541426484,
+ 15112.204009559202,
+ 15126.989093068994,
+ 15141.777790188597,
+ 15156.570099152905,
+ 15171.366018198967,
+ 15186.165545565986,
+ 15200.968679495301,
+ 15215.775418230402,
+ 15230.585760016909,
+ 15245.399703102579,
+ 15260.217245737298,
+ 15275.038386173073,
+ 15289.863122664035,
+ 15304.691453466432,
+ 15319.523376838621,
+ 15334.358891041069,
+ 15349.197994336346,
+ 15364.040684989128,
+ 15378.886961266177,
+ 15393.736821436356,
+ 15408.590263770609,
+ 15423.447286541972,
+ 15438.307888025554,
+ 15453.172066498542,
+ 15468.039820240196,
+ 15482.91114753184,
+ 15497.786046656869,
+ 15512.664515900733,
+ 15527.546553550939,
+ 15542.432157897045,
+ 15557.32132723066,
+ 15572.214059845435,
+ 15587.110354037064,
+ 15602.010208103273,
+ 15616.913620343823,
+ 15631.820589060506,
+ 15646.731112557136,
+ 15661.645189139546,
+ 15676.562817115593,
+ 15691.483994795139,
+ 15706.408720490062,
+ 15721.336992514242,
+ 15736.268809183561,
+ 15751.204168815901,
+ 15766.143069731135,
+ 15781.085510251132,
+ 15796.03148869974,
+ 15810.981003402798,
+ 15825.934052688119,
+ 15840.890634885489,
+ 15855.850748326673,
+ 15870.814391345401,
+ 15885.781562277361,
+ 15900.752259460214,
+ 15915.726481233565,
+ 15930.704225938984,
+ 15945.685491919978,
+ 15960.670277522009,
+ 15975.658581092481,
+ 15990.65040098073,
+ 16005.645735538035,
+ 16020.644583117599,
+ 16035.646942074556,
+ 16050.652810765967,
+ 16065.662187550806,
+ 16080.675070789974,
+ 16095.691458846273,
+ 16110.711350084424,
+ 16125.734742871053,
+ 16140.761635574685,
+ 16155.792026565747,
+ 16170.825914216561,
+ 16185.863296901338,
+ 16200.904172996183,
+ 16215.948540879079,
+ 16230.996398929899,
+ 16246.047745530386,
+ 16261.102579064163,
+ 16276.160897916721,
+ 16291.22270047542,
+ 16306.287985129484,
+ 16321.356750269995,
+ 16336.428994289896,
+ 16351.504715583982,
+ 16366.5839125489,
+ 16381.666583583141,
+ 16396.752727087041,
+ 16411.842341462776,
+ 16426.935425114363,
+ 16442.031976447644,
+ 16457.131993870298,
+ 16472.235475791829,
+ 16487.342420623561,
+ 16502.452826778641,
+ 16517.566692672033,
+ 16532.684016720516,
+ 16547.804797342676,
+ 16562.929032958902,
+ 16578.056721991394,
+ 16593.18786286415,
+ 16608.322454002962,
+ 16623.460493835417,
+ 16638.601980790896,
+ 16653.746913300558,
+ 16668.895289797354,
+ 16684.047108716015,
+ 16699.202368493046,
+ 16714.361067566726,
+ 16729.523204377107,
+ 16744.688777366009,
+ 16759.857784977012,
+ 16775.030225655464,
+ 16790.206097848466,
+ 16805.385400004874,
+ 16820.568130575302,
+ 16835.754288012104,
+ 16850.943870769381,
+ 16866.136877302983,
+ 16881.333306070494,
+ 16896.53315553123,
+ 16911.736424146249,
+ 16926.943110378332,
+ 16942.153212691992,
+ 16957.366729553454,
+ 16972.583659430682,
+ 16987.804000793338,
+ 17003.027752112816,
+ 17018.254911862205,
+ 17033.485478516312,
+ 17048.719450551645,
+ 17063.956826446421,
+ 17079.197604680547,
+ 17094.44178373563,
+ 17109.689362094967,
+ 17124.940338243552,
+ 17140.194710668064,
+ 17155.452477856852,
+ 17170.713638299967,
+ 17185.978190489128,
+ 17201.246132917724,
+ 17216.517464080825,
+ 17231.792182475165,
+ 17247.070286599141,
+ 17262.351774952826,
+ 17277.636646037936,
+ 17292.924898357855,
+ 17308.216530417623,
+ 17323.511540723921,
+ 17338.809927785089,
+ 17354.111690111105,
+ 17369.416826213594,
+ 17384.725334605821,
+ 17400.037213802683,
+ 17415.352462320716,
+ 17430.67107867809,
+ 17445.993061394587,
+ 17461.318408991636,
+ 17476.647119992274,
+ 17491.979192921168,
+ 17507.314626304586,
+ 17522.653418670423,
+ 17537.995568548187,
+ 17553.341074468986,
+ 17568.689934965536,
+ 17584.042148572156,
+ 17599.397713824768,
+ 17614.75662926089,
+ 17630.118893419625,
+ 17645.484504841683,
+ 17660.853462069354,
+ 17676.225763646511,
+ 17691.601408118619,
+ 17706.980394032718,
+ 17722.362719937424,
+ 17737.748384382936,
+ 17753.137385921014,
+ 17768.529723104999,
+ 17783.92539448979,
+ 17799.324398631856,
+ 17814.726734089225,
+ 17830.13239942148,
+ 17845.541393189767,
+ 17860.95371395678,
+ 17876.369360286772,
+ 17891.788330745527,
+ 17907.210623900395,
+ 17922.636238320254,
+ 17938.065172575527,
+ 17953.497425238176,
+ 17968.932994881692,
+ 17984.371880081104,
+ 17999.814079412972,
+ 18015.259591455371,
+ 18030.708414787914,
+ 18046.160547991731,
+ 18061.615989649465,
+ 18077.074738345284,
+ 18092.536792664861,
+ 18108.002151195393,
+ 18123.470812525571,
+ 18138.942775245599,
+ 18154.418037947191,
+ 18169.896599223546,
+ 18185.37845766938,
+ 18200.863611880886,
+ 18216.352060455767,
+ 18231.843801993204,
+ 18247.338835093873,
+ 18262.837158359936,
+ 18278.338770395032,
+ 18293.84366980429,
+ 18309.351855194309,
+ 18324.863325173166,
+ 18340.378078350412,
+ 18355.896113337069,
+ 18371.417428745623,
+ 18386.942023190033,
+ 18402.469895285718,
+ 18418.00104364955,
+ 18433.53546689987,
+ 18449.073163656474,
+ 18464.614132540602,
+ 18480.158372174956,
+ 18495.705881183676,
+ 18511.256658192357,
+ 18526.810701828035,
+ 18542.368010719183,
+ 18557.928583495715,
+ 18573.492418788985,
+ 18589.059515231773,
+ 18604.629871458303,
+ 18620.203486104212,
+ 18635.78035780658,
+ 18651.360485203899,
+ 18666.943866936086,
+ 18682.53050164448,
+ 18698.120387971841,
+ 18713.713524562332,
+ 18729.30991006154,
+ 18744.909543116457,
+ 18760.512422375479,
+ 18776.118546488418,
+ 18791.727914106479,
+ 18807.340523882274,
+ 18822.95637446981,
+ 18838.575464524489,
+ 18854.197792703111,
+ 18869.823357663863,
+ 18885.452158066328,
+ 18901.08419257147,
+ 18916.719459841639,
+ 18932.357958540564,
+ 18947.999687333362,
+ 18963.644644886521,
+ 18979.292829867907,
+ 18994.944240946759,
+ 19010.598876793687,
+ 19026.256736080668,
+ 19041.917817481048,
+ 19057.582119669532,
+ 19073.2496413222,
+ 19088.920381116473,
+ 19104.594337731145,
+ 19120.271509846356,
+ 19135.951896143604,
+ 19151.635495305738,
+ 19167.322306016948,
+ 19183.012326962784,
+ 19198.705556830122,
+ 19214.401994307198,
+ 19230.101638083579,
+ 19245.804486850167,
+ 19261.510539299208,
+ 19277.219794124274,
+ 19292.932250020265,
+ 19308.647905683421,
+ 19324.366759811302,
+ 19340.088811102793,
+ 19355.8140582581,
+ 19371.542499978754,
+ 19387.2741349676,
+ 19403.008961928797,
+ 19418.746979567823,
+ 19434.488186591469,
+ 19450.232581707827,
+ 19465.980163626304,
+ 19481.730931057613,
+ 19497.484882713761,
+ 19513.242017308068,
+ 19529.002333555141,
+ 19544.765830170898,
+ 19560.532505872539,
+ 19576.302359378566,
+ 19592.075389408761,
+ 19607.851594684209,
+ 19623.630973927269,
+ 19639.41352586159,
+ 19655.199249212103,
+ 19670.988142705017,
+ 19686.780205067826,
+ 19702.575435029288,
+ 19718.373831319448,
+ 19734.175392669615,
+ 19749.980117812371,
+ 19765.788005481569,
+ 19781.599054412323,
+ 19797.413263341008,
+ 19813.230631005274,
+ 19829.051156144014,
+ 19844.874837497395,
+ 19860.701673806827,
+ 19876.531663814985,
+ 19892.364806265789,
+ 19908.201099904403,
+ 19924.040543477258,
+ 19939.883135732012,
+ 19955.728875417579,
+ 19971.577761284105,
+ 19987.429792082985,
+ 20003.284966566847,
+ 20019.14328348956,
+ 20035.004741606219,
+ 20050.869339673161,
+ 20066.737076447946,
+ 20082.607950689362,
+ 20098.481961157428,
+ 20114.359106613385,
+ 20130.239385819699,
+ 20146.122797540058,
+ 20162.009340539353,
+ 20177.899013583716,
+ 20193.791815440476,
+ 20209.687744878182,
+ 20225.586800666591,
+ 20241.488981576669,
+ 20257.394286380597,
+ 20273.302713851754,
+ 20289.214262764715,
+ 20305.128931895277,
+ 20321.046720020415,
+ 20336.967625918318,
+ 20352.891648368361,
+ 20368.818786151114,
+ 20384.749038048347,
+ 20400.682402843009,
+ 20416.618879319249,
+ 20432.558466262391,
+ 20448.501162458953,
+ 20464.446966696629,
+ 20480.395877764302,
+ 20496.347894452025,
+ 20512.303015551031,
+ 20528.261239853735,
+ 20544.22256615372,
+ 20560.186993245738,
+ 20576.15451992572,
+ 20592.125144990758,
+ 20608.098867239107,
+ 20624.075685470198,
+ 20640.055598484618,
+ 20656.038605084115,
+ 20672.024704071595,
+ 20688.013894251126,
+ 20704.006174427926,
+ 20720.001543408373,
+ 20735.999999999989,
+ 20752.001543011454,
+ 20768.006171252597,
+ 20784.013883534382,
+ 20800.024678668931,
+ 20816.038555469506,
+ 20832.055512750507,
+ 20848.075549327474,
+ 20864.098664017085,
+ 20880.124855637161,
+ 20896.154123006647,
+ 20912.186464945626,
+ 20928.221880275312,
+ 20944.260367818049,
+ 20960.301926397311,
+ 20976.346554837684,
+ 20992.394251964895,
+ 21008.445016605787,
+ 21024.498847588318,
+ 21040.555743741574,
+ 21056.615703895754,
+ 21072.678726882168,
+ 21088.744811533252,
+ 21104.813956682538,
+ 21120.886161164683,
+ 21136.961423815443,
+ 21153.039743471683,
+ 21169.121118971379,
+ 21185.205549153605,
+ 21201.293032858535,
+ 21217.383568927453,
+ 21233.477156202731,
+ 21249.573793527841,
+ 21265.673479747358,
+ 21281.776213706937,
+ 21297.881994253334,
+ 21313.990820234398,
+ 21330.102690499054,
+ 21346.21760389733,
+ 21362.335559280327,
+ 21378.456555500241,
+ 21394.580591410333,
+ 21410.707665864964,
+ 21426.83777771956,
+ 21442.970925830628,
+ 21459.107109055756,
+ 21475.246326253604,
+ 21491.388576283895,
+ 21507.533858007431,
+ 21523.682170286087,
+ 21539.833511982797,
+ 21555.987881961566,
+ 21572.145279087465,
+ 21588.305702226615,
+ 21604.469150246216,
+ 21620.635622014521,
+ 21636.805116400832,
+ 21652.977632275521,
+ 21669.153168510009,
+ 21685.331723976764,
+ 21701.513297549318,
+ 21717.697888102244,
+ 21733.885494511167,
+ 21750.076115652759,
+ 21766.269750404736,
+ 21782.466397645861,
+ 21798.666056255934,
+ 21814.868725115801,
+ 21831.074403107345,
+ 21847.283089113484,
+ 21863.494782018177,
+ 21879.709480706417,
+ 21895.927184064229,
+ 21912.147890978667,
+ 21928.371600337818,
+ 21944.598311030797,
+ 21960.828021947746,
+ 21977.060731979829,
+ 21993.296440019243,
+ 22009.535144959198,
+ 22025.77684569393,
+ 22042.021541118691,
+ 22058.269230129757,
+ 22074.519911624411,
+ 22090.773584500959,
+ 22107.030247658717,
+ 22123.289899998013,
+ 22139.552540420187,
+ 22155.818167827587,
+ 22172.086781123569,
+ 22188.358379212495,
+ 22204.632960999726,
+ 22220.910525391639,
+ 22237.191071295601,
+ 22253.474597619981,
+ 22269.761103274148,
+ 22286.050587168469,
+ 22302.343048214312,
+ 22318.638485324027,
+ 22334.936897410968,
+ 22351.23828338947,
+ 22367.542642174871,
+ 22383.849972683485,
+ 22400.160273832618,
+ 22416.473544540564,
+ 22432.789783726603,
+ 22449.108990310986,
+ 22465.431163214958,
+ 22481.75630136074,
+ 22498.084403671528,
+ 22514.415469071497,
+ 22530.749496485802,
+ 22547.086484840562,
+ 22563.426433062879,
+ 22579.769340080824,
+ 22596.115204823436,
+ 22612.464026220721,
+ 22628.815803203655,
+ 22645.170534704179,
+ 22661.5282196552,
+ 22677.888856990587,
+ 22694.252445645168,
+ 22710.618984554734,
+ 22726.988472656034,
+ 22743.360908886778,
+ 22759.736292185622,
+ 22776.114621492186,
+ 22792.495895747044,
+ 22808.880113891719,
+ 22825.267274868678,
+ 22841.657377621348,
+ 22858.050421094096,
+ 22874.446404232243,
+ 22890.845325982053,
+ 22907.247185290722,
+ 22923.651981106406,
+ 22940.059712378195,
+ 22956.470378056114,
+ 22972.883977091129,
+ 22989.300508435153,
+ 23005.719971041017,
+ 23022.142363862498,
+ 23038.567685854305,
+ 23054.995935972078,
+ 23071.427113172387,
+ 23087.86121641273,
+ 23104.298244651531,
+ 23120.738196848146,
+ 23137.181071962848,
+ 23153.626868956846,
+ 23170.075586792263,
+ 23186.527224432142,
+ 23202.981780840448,
+ 23219.439254982066,
+ 23235.899645822796,
+ 23252.362952329357,
+ 23268.829173469378,
+ 23285.298308211408,
+ 23301.770355524899,
+ 23318.245314380223,
+ 23334.723183748658,
+ 23351.203962602387,
+ 23367.687649914504,
+ 23384.174244659007,
+ 23400.663745810798,
+ 23417.15615234568,
+ 23433.651463240367,
+ 23450.149677472462,
+ 23466.650794020472,
+ 23483.154811863806,
+ 23499.661729982763,
+ 23516.171547358543,
+ 23532.684262973235,
+ 23549.199875809823,
+ 23565.718384852185,
+ 23582.239789085092,
+ 23598.764087494197,
+ 23615.291279066041,
+ 23631.821362788058,
+ 23648.354337648565,
+ 23664.890202636761,
+ 23681.428956742733,
+ 23697.970598957443,
+ 23714.515128272738,
+ 23731.062543681343,
+ 23747.612844176863,
+ 23764.166028753778,
+ 23780.72209640744,
+ 23797.281046134085,
+ 23813.842876930816,
+ 23830.407587795606,
+ 23846.975177727301,
+ 23863.545645725622,
+ 23880.11899079115,
+ 23896.695211925336,
+ 23913.274308130498,
+ 23929.856278409821,
+ 23946.441121767348,
+ 23963.028837207989,
+ 23979.619423737513,
+ 23996.212880362549,
+ 24012.809206090584,
+ 24029.408399929966,
+ 24046.010460889898,
+ 24062.615387980433,
+ 24079.223180212492,
+ 24095.833836597827,
+ 24112.447356149063,
+ 24129.063737879667,
+ 24145.682980803951,
+ 24162.305083937081,
+ 24178.930046295067,
+ 24195.557866894767,
+ 24212.188544753884,
+ 24228.822078890964,
+ 24245.458468325389,
+ 24262.097712077397,
+ 24278.739809168052,
+ 24295.384758619261,
+ 24312.032559453768,
+ 24328.683210695162,
+ 24345.336711367858,
+ 24361.993060497109,
+ 24378.652257108995,
+ 24395.314300230442,
+ 24411.979188889192,
+ 24428.646922113825,
+ 24445.317498933746,
+ 24461.990918379193,
+ 24478.667179481225,
+ 24495.346281271726,
+ 24512.028222783407,
+ 24528.713003049801,
+ 24545.400621105266,
+ 24562.091075984976,
+ 24578.784366724925,
+ 24595.480492361927,
+ 24612.179451933614,
+ 24628.881244478438,
+ 24645.585869035654,
+ 24662.293324645343,
+ 24679.003610348394,
+ 24695.716725186514,
+ 24712.432668202211,
+ 24729.151438438807,
+ 24745.873034940436,
+ 24762.597456752032,
+ 24779.324702919344,
+ 24796.054772488926,
+ 24812.787664508123,
+ 24829.5233780251,
+ 24846.261912088819,
+ 24863.003265749034,
+ 24879.747438056307,
+ 24896.494428062004,
+ 24913.244234818278,
+ 24929.996857378079,
+ 24946.752294795166,
+ 24963.510546124078,
+ 24980.271610420157,
+ 24997.035486739525,
+ 25013.802174139113,
+ 25030.571671676629,
+ 25047.343978410572,
+ 25064.119093400237,
+ 25080.897015705697,
+ 25097.677744387816,
+ 25114.461278508239,
+ 25131.2476171294,
+ 25148.036759314517,
+ 25164.828704127583,
+ 25181.623450633375,
+ 25198.42099789745,
+ 25215.221344986145,
+ 25232.024490966574,
+ 25248.830434906627,
+ 25265.639175874974,
+ 25282.450712941049,
+ 25299.265045175071,
+ 25316.082171648024,
+ 25332.902091431668,
+ 25349.724803598532,
+ 25366.550307221914,
+ 25383.378601375884,
+ 25400.209685135269,
+ 25417.043557575678,
+ 25433.880217773472,
+ 25450.719664805783,
+ 25467.561897750507,
+ 25484.406915686297,
+ 25501.254717692573,
+ 25518.105302849512,
+ 25534.958670238051,
+ 25551.814818939893,
+ 25568.67374803748,
+ 25585.535456614027,
+ 25602.399943753502,
+ 25619.267208540619,
+ 25636.137250060852,
+ 25653.010067400432,
+ 25669.885659646327,
+ 25686.76402588627,
+ 25703.645165208734,
+ 25720.529076702944,
+ 25737.415759458876,
+ 25754.305212567244,
+ 25771.197435119517,
+ 25788.092426207899,
+ 25804.990184925344,
+ 25821.890710365547,
+ 25838.794001622944,
+ 25855.700057792714,
+ 25872.608877970775,
+ 25889.520461253778,
+ 25906.434806739118,
+ 25923.351913524923,
+ 25940.271780710063,
+ 25957.194407394138,
+ 25974.11979267748,
+ 25991.047935661154,
+ 26007.978835446964,
+ 26024.912491137442,
+ 26041.848901835841,
+ 26058.788066646157,
+ 26075.729984673108,
+ 26092.674655022136,
+ 26109.622076799409,
+ 26126.572249111829,
+ 26143.525171067016,
+ 26160.480841773315,
+ 26177.43926033979,
+ 26194.400425876229,
+ 26211.364337493149,
+ 26228.330994301767,
+ 26245.30039541404,
+ 26262.272539942627,
+ 26279.247427000919,
+ 26296.225055703002,
+ 26313.205425163702,
+ 26330.188534498539,
+ 26347.174382823756,
+ 26364.162969256304,
+ 26381.154292913852,
+ 26398.148352914774,
+ 26415.145148378149,
+ 26432.144678423778,
+ 26449.146942172156,
+ 26466.151938744493,
+ 26483.159667262702,
+ 26500.170126849403,
+ 26517.183316627921,
+ 26534.199235722277,
+ 26551.217883257199,
+ 26568.239258358124,
+ 26585.263360151173,
+ 26602.290187763181,
+ 26619.319740321676,
+ 26636.352016954883,
+ 26653.387016791727,
+ 26670.424738961825,
+ 26687.465182595493,
+ 26704.508346823739,
+ 26721.554230778267,
+ 26738.602833591467,
+ 26755.65415439643,
+ 26772.708192326929,
+ 26789.764946517433,
+ 26806.824416103096,
+ 26823.886600219761,
+ 26840.95149800396,
+ 26858.019108592915,
+ 26875.089431124517,
+ 26892.162464737365,
+ 26909.238208570721,
+ 26926.316661764544,
+ 26943.397823459472,
+ 26960.481692796813,
+ 26977.568268918571,
+ 26994.657550967422,
+ 27011.749538086722,
+ 27028.844229420498,
+ 27045.941624113464,
+ 27063.041721311005,
+ 27080.144520159181,
+ 27097.250019804727,
+ 27114.35821939505,
+ 27131.469118078236,
+ 27148.582715003027,
+ 27165.699009318858,
+ 27182.818000175819,
+ 27199.939686724665,
+ 27217.064068116837,
+ 27234.191143504428,
+ 27251.320912040203,
+ 27268.453372877593,
+ 27285.588525170693,
+ 27302.726368074269,
+ 27319.866900743735,
+ 27337.010122335181,
+ 27354.156032005358,
+ 27371.304628911668,
+ 27388.455912212183,
+ 27405.609881065626,
+ 27422.766534631384,
+ 27439.925872069507,
+ 27457.087892540683,
+ 27474.252595206275,
+ 27491.419979228293,
+ 27508.5900437694,
+ 27525.762787992917,
+ 27542.93821106281,
+ 27560.116312143706,
+ 27577.297090400876,
+ 27594.480545000242,
+ 27611.666675108383,
+ 27628.855479892518,
+ 27646.046958520514,
+ 27663.241110160889,
+ 27680.437933982801,
+ 27697.637429156068,
+ 27714.839594851132,
+ 27732.04443023909,
+ 27749.251934491687,
+ 27766.462106781299,
+ 27783.674946280949,
+ 27800.890452164302,
+ 27818.108623605654,
+ 27835.329459779954,
+ 27852.55295986278,
+ 27869.779123030345,
+ 27887.007948459504,
+ 27904.239435327745,
+ 27921.473582813196,
+ 27938.710390094613,
+ 27955.949856351392,
+ 27973.19198076355,
+ 27990.436762511745,
+ 28007.684200777272,
+ 28024.934294742041,
+ 28042.187043588601,
+ 28059.442446500128,
+ 28076.700502660427,
+ 28093.961211253929,
+ 28111.224571465693,
+ 28128.490582481401,
+ 28145.759243487362,
+ 28163.030553670509,
+ 28180.304512218394,
+ 28197.581118319198,
+ 28214.860371161725,
+ 28232.14226993539,
+ 28249.42681383024,
+ 28266.71400203693,
+ 28284.003833746745,
+ 28301.296308151585,
+ 28318.591424443959,
+ 28335.889181817001,
+ 28353.189579464462,
+ 28370.492616580705,
+ 28387.798292360701,
+ 28405.106606000048,
+ 28422.417556694945,
+ 28439.731143642206,
+ 28457.047366039264,
+ 28474.366223084147,
+ 28491.687713975512,
+ 28509.011837912611,
+ 28526.338594095305,
+ 28543.667981724069,
+ 28560.999999999982,
+ 28578.334648124732,
+ 28595.671925300605,
+ 28613.011830730498,
+ 28630.354363617909,
+ 28647.699523166943,
+ 28665.0473085823,
+ 28682.397719069289,
+ 28699.750753833818,
+ 28717.10641208239,
+ 28734.464693022121,
+ 28751.825595860708,
+ 28769.189119806462,
+ 28786.55526406828,
+ 28803.924027855664,
+ 28821.295410378701,
+ 28838.669410848088,
+ 28856.046028475103,
+ 28873.425262471628,
+ 28890.80711205013,
+ 28908.191576423673,
+ 28925.578654805915,
+ 28942.968346411097,
+ 28960.360650454055,
+ 28977.755566150216,
+ 28995.153092715591,
+ 29012.553229366786,
+ 29029.955975320987,
+ 29047.361329795975,
+ 29064.769292010107,
+ 29082.179861182336,
+ 29099.593036532187,
+ 29117.00881727978,
+ 29134.427202645813,
+ 29151.848191851568,
+ 29169.271784118911,
+ 29186.697978670283,
+ 29204.126774728706,
+ 29221.55817151779,
+ 29238.992168261717,
+ 29256.42876418525,
+ 29273.867958513725,
+ 29291.309750473058,
+ 29308.754139289747,
+ 29326.201124190855,
+ 29343.65070440403,
+ 29361.102879157483,
+ 29378.557647680012,
+ 29396.015009200975,
+ 29413.474962950309,
+ 29430.937508158524,
+ 29448.402644056692,
+ 29465.870369876469,
+ 29483.340684850071,
+ 29500.81358821028,
+ 29518.289079190454,
+ 29535.767157024511,
+ 29553.247820946945,
+ 29570.731070192807,
+ 29588.216903997723,
+ 29605.70532159787,
+ 29623.19632223,
+ 29640.689905131429,
+ 29658.186069540028,
+ 29675.684814694236,
+ 29693.186139833047,
+ 29710.690044196028,
+ 29728.196527023298,
+ 29745.705587555527,
+ 29763.217225033964,
+ 29780.731438700397,
+ 29798.248227797183,
+ 29815.76759156723,
+ 29833.289529254005,
+ 29850.81404010153,
+ 29868.341123354381,
+ 29885.870778257693,
+ 29903.403004057145,
+ 29920.937799998974,
+ 29938.475165329975,
+ 29956.015099297485,
+ 29973.557601149394,
+ 29991.102670134147,
+ 30008.650305500738,
+ 30026.200506498706,
+ 30043.753272378144,
+ 30061.308602389683,
+ 30078.866495784507,
+ 30096.426951814352,
+ 30113.989969731494,
+ 30131.55554878875,
+ 30149.123688239491,
+ 30166.694387337629,
+ 30184.267645337608,
+ 30201.843461494434,
+ 30219.42183506364,
+ 30237.002765301309,
+ 30254.586251464058,
+ 30272.172292809046,
+ 30289.760888593977,
+ 30307.35203807709,
+ 30324.94574051716,
+ 30342.541995173502,
+ 30360.140801305966,
+ 30377.742158174944,
+ 30395.346065041358,
+ 30412.952521166666,
+ 30430.561525812864,
+ 30448.173078242475,
+ 30465.787177718561,
+ 30483.403823504719,
+ 30501.02301486507,
+ 30518.644751064272,
+ 30536.269031367516,
+ 30553.895855040515,
+ 30571.525221349519,
+ 30589.157129561307,
+ 30606.791578943175,
+ 30624.428568762964,
+ 30642.06809828903,
+ 30659.710166790261,
+ 30677.35477353607,
+ 30695.001917796391,
+ 30712.651598841687,
+ 30730.303815942945,
+ 30747.958568371676,
+ 30765.615855399912,
+ 30783.275676300211,
+ 30800.938030345646,
+ 30818.602916809814,
+ 30836.270334966837,
+ 30853.940284091354,
+ 30871.612763458521,
+ 30889.287772344011,
+ 30906.965310024025,
+ 30924.645375775272,
+ 30942.327968874983,
+ 30960.013088600903,
+ 30977.700734231294,
+ 30995.390905044929,
+ 31013.083600321101,
+ 31030.778819339619,
+ 31048.476561380798,
+ 31066.17682572547,
+ 31083.879611654978,
+ 31101.584918451179,
+ 31119.29274539644,
+ 31137.003091773637,
+ 31154.715956866155,
+ 31172.431339957893,
+ 31190.14924033326,
+ 31207.869657277162,
+ 31225.592590075023,
+ 31243.318038012771,
+ 31261.046000376838,
+ 31278.776476454172,
+ 31296.50946553221,
+ 31314.24496689891,
+ 31331.98297984272,
+ 31349.7235036526,
+ 31367.466537618013,
+ 31385.212081028923,
+ 31402.960133175795,
+ 31420.710693349596,
+ 31438.463760841791,
+ 31456.219334944351,
+ 31473.977414949743,
+ 31491.738000150934,
+ 31509.501089841389,
+ 31527.266683315069,
+ 31545.034779866437,
+ 31562.80537879045,
+ 31580.578479382562,
+ 31598.35408093872,
+ 31616.132182755369,
+ 31633.91278412945,
+ 31651.695884358396,
+ 31669.481482740131,
+ 31687.269578573076,
+ 31705.060171156143,
+ 31722.853259788735,
+ 31740.648843770748,
+ 31758.446922402567,
+ 31776.247494985066,
+ 31794.050560819614,
+ 31811.85611920806,
+ 31829.664169452753,
+ 31847.474710856521,
+ 31865.287742722685,
+ 31883.103264355046,
+ 31900.921275057899,
+ 31918.741774136019,
+ 31936.564760894671,
+ 31954.390234639599,
+ 31972.21819467704,
+ 31990.048640313704,
+ 32007.881570856793,
+ 32025.716985613984,
+ 32043.554883893445,
+ 32061.395265003815,
+ 32079.238128254223,
+ 32097.083472954269,
+ 32114.931298414049,
+ 32132.781603944117,
+ 32150.634388855524,
+ 32168.48965245979,
+ 32186.347394068915,
+ 32204.207612995371,
+ 32222.07030855212,
+ 32239.935480052583,
+ 32257.803126810672,
+ 32275.673248140767,
+ 32293.545843357719,
+ 32311.420911776862,
+ 32329.298452713996,
+ 32347.178465485395,
+ 32365.060949407813,
+ 32382.945903798463,
+ 32400.83332797504,
+ 32418.723221255706,
+ 32436.615582959093,
+ 32454.510412404306,
+ 32472.407708910916,
+ 32490.307471798966,
+ 32508.209700388961,
+ 32526.114394001877,
+ 32544.021551959166,
+ 32561.931173582732,
+ 32579.843258194956,
+ 32597.757805118679,
+ 32615.674813677211,
+ 32633.594283194328,
+ 32651.516212994258,
+ 32669.440602401712,
+ 32687.367450741847,
+ 32705.296757340297,
+ 32723.228521523146,
+ 32741.162742616943,
+ 32759.099419948703,
+ 32777.038552845901,
+ 32794.980140636464,
+ 32812.924182648792,
+ 32830.87067821173,
+ 32848.819626654593,
+ 32866.77102730715,
+ 32884.724879499619,
+ 32902.681182562686,
+ 32920.639935827494,
+ 32938.601138625643,
+ 32956.56479028918,
+ 32974.530890150607,
+ 32992.499437542894,
+ 33010.470431799447,
+ 33028.443872254145,
+ 33046.419758241311,
+ 33064.39808909571,
+ 33082.378864152583,
+ 33100.36208274759,
+ 33118.347744216881,
+ 33136.335847897026,
+ 33154.326393125062,
+ 33172.31937923847,
+ 33190.314805575174,
+ 33208.312671473555,
+ 33226.312976272442,
+ 33244.315719311111,
+ 33262.320899929284,
+ 33280.328517467125,
+ 33298.33857126526,
+ 33316.351060664747,
+ 33334.365985007091,
+ 33352.383343634239,
+ 33370.403135888591,
+ 33388.42536111299,
+ 33406.450018650721,
+ 33424.477107845501,
+ 33442.506628041512,
+ 33460.53857858335,
+ 33478.572958816083,
+ 33496.609768085189,
+ 33514.649005736617,
+ 33532.690671116739,
+ 33550.734763572356,
+ 33568.781282450735,
+ 33586.830227099563,
+ 33604.881596866973,
+ 33622.935391101528,
+ 33640.991609152239,
+ 33659.050250368542,
+ 33677.111314100322,
+ 33695.174799697881,
+ 33713.240706511984,
+ 33731.309033893805,
+ 33749.37978119497,
+ 33767.452947767531,
+ 33785.528532963974,
+ 33803.606536137209,
+ 33821.686956640602,
+ 33839.769793827938,
+ 33857.855047053425,
+ 33875.942715671707,
+ 33894.032799037872,
+ 33912.125296507431,
+ 33930.220207436316,
+ 33948.317531180888,
+ 33966.417267097961,
+ 33984.519414544746,
+ 34002.623972878901,
+ 34020.730941458511,
+ 34038.840319642077,
+ 34056.952106788536,
+ 34075.066302257255,
+ 34093.182905408015,
+ 34111.301915601027,
+ 34129.42333219693,
+ 34147.547154556785,
+ 34165.673382042078,
+ 34183.80201401472,
+ 34201.933049837033,
+ 34220.06648887178,
+ 34238.202330482141,
+ 34256.340574031703,
+ 34274.481218884495,
+ 34292.624264404949,
+ 34310.769709957938,
+ 34328.91755490873,
+ 34347.067798623029,
+ 34365.220440466954,
+ 34383.375479807051,
+ 34401.532916010263,
+ 34419.692748443973,
+ 34437.854976475966,
+ 34456.01959947445,
+ 34474.18661680806,
+ 34492.356027845817,
+ 34510.527831957188,
+ 34528.702028512052,
+ 34546.878616880676,
+ 34565.05759643377,
+ 34583.238966542449,
+ 34601.422726578232,
+ 34619.608875913065,
+ 34637.797413919296,
+ 34655.988339969692,
+ 34674.181653437423,
+ 34692.37735369608,
+ 34710.575440119668,
+ 34728.775912082579,
+ 34746.978768959649,
+ 34765.184010126082,
+ 34783.391634957537,
+ 34801.60164283005,
+ 34819.814033120063,
+ 34838.028805204456,
+ 34856.24595846048,
+ 34874.465492265823,
+ 34892.687405998557,
+ 34910.911699037177,
+ 34929.138370760564,
+ 34947.367420548027,
+ 34965.598847779271,
+ 34983.832651834389,
+ 35002.068832093908,
+ 35020.307387938738,
+ 35038.548318750189,
+ 35056.79162390998,
+ 35075.03730280025,
+ 35093.285354803513,
+ 35111.535779302685,
+ 35129.788575681116,
+ 35148.043743322516,
+ 35166.301281611013,
+ 35184.561189931141,
+ 35202.823467667826,
+ 35221.088114206388,
+ 35239.355128932555,
+ 35257.624511232447,
+ 35275.896260492584,
+ 35294.170376099886,
+ 35312.446857441668,
+ 35330.725703905628,
+ 35349.006914879887,
+ 35367.290489752944,
+ 35385.576427913686,
+ 35403.864728751418,
+ 35422.155391655811,
+ 35440.448416016967,
+ 35458.743801225341,
+ 35477.041546671804,
+ 35495.341651747622,
+ 35513.644115844436,
+ 35531.948938354304,
+ 35550.256118669655,
+ 35568.565656183309,
+ 35586.877550288496,
+ 35605.191800378816,
+ 35623.508405848268,
+ 35641.827366091238,
+ 35660.148680502505,
+ 35678.472348477233,
+ 35696.798369410979,
+ 35715.126742699678,
+ 35733.457467739659,
+ 35751.790543927644,
+ 35770.125970660738,
+ 35788.46374733642,
+ 35806.803873352568,
+ 35825.146348107453,
+ 35843.49117099971,
+ 35861.838341428367,
+ 35880.187858792851,
+ 35898.539722492955,
+ 35916.893931928862,
+ 35935.250486501129,
+ 35953.609385610718,
+ 35971.970628658957,
+ 35990.334215047558,
+ 36008.700144178612,
+ 36027.068415454596,
+ 36045.439028278372,
+ 36063.811982053165,
+ 36082.187276182609,
+ 36100.564910070694,
+ 36118.944883121789,
+ 36137.327194740654,
+ 36155.711844332429,
+ 36174.098831302617,
+ 36192.488155057115,
+ 36210.87981500219,
+ 36229.273810544473,
+ 36247.670141091003,
+ 36266.068806049167,
+ 36284.469804826738,
+ 36302.873136831862,
+ 36321.278801473069,
+ 36339.686798159251,
+ 36358.097126299683,
+ 36376.509785304013,
+ 36394.924774582258,
+ 36413.342093544816,
+ 36431.761741602444,
+ 36450.183718166292,
+ 36468.608022647859,
+ 36487.034654459028,
+ 36505.463613012063,
+ 36523.894897719583,
+ 36542.328507994578,
+ 36560.764443250409,
+ 36579.202702900831,
+ 36597.643286359926,
+ 36616.086193042182,
+ 36634.531422362437,
+ 36652.978973735895,
+ 36671.428846578143,
+ 36689.881040305125,
+ 36708.335554333149,
+ 36726.792388078902,
+ 36745.251540959427,
+ 36763.713012392138,
+ 36782.176801794812,
+ 36800.642908585593,
+ 36819.111332182983,
+ 36837.582072005869,
+ 36856.055127473483,
+ 36874.530498005421,
+ 36893.008183021651,
+ 36911.488181942506,
+ 36929.970494188674,
+ 36948.455119181206,
+ 36966.942056341519,
+ 36985.431305091392,
+ 37003.922864852961,
+ 37022.416735048733,
+ 37040.912915101559,
+ 37059.411404434657,
+ 37077.91220247162,
+ 37096.415308636388,
+ 37114.920722353243,
+ 37133.428443046862,
+ 37151.938470142253,
+ 37170.450803064785,
+ 37188.965441240209,
+ 37207.482384094597,
+ 37226.001631054402,
+ 37244.523181546429,
+ 37263.047034997842,
+ 37281.573190836149,
+ 37300.101648489224,
+ 37318.632407385296,
+ 37337.165466952945,
+ 37355.700826621112,
+ 37374.238485819085,
+ 37392.778443976509,
+ 37411.320700523385,
+ 37429.865254890057,
+ 37448.412106507232,
+ 37466.961254805974,
+ 37485.512699217681,
+ 37504.066439174116,
+ 37522.622474107404,
+ 37541.180803449992,
+ 37559.741426634704,
+ 37578.304343094693,
+ 37596.869552263488,
+ 37615.43705357494,
+ 37634.006846463279,
+ 37652.578930363044,
+ 37671.153304709165,
+ 37689.729968936896,
+ 37708.308922481847,
+ 37726.890164779965,
+ 37745.473695267559,
+ 37764.059513381275,
+ 37782.647618558112,
+ 37801.238010235415,
+ 37819.830687850859,
+ 37838.425650842495,
+ 37857.022898648691,
+ 37875.622430708172,
+ 37894.224246460013,
+ 37912.828345343616,
+ 37931.434726798747,
+ 37950.043390265506,
+ 37968.654335184328,
+ 37987.267560995999,
+ 38005.883067141665,
+ 38024.500853062775,
+ 38043.120918201159,
+ 38061.743261998963,
+ 38080.367883898682,
+ 38098.994783343158,
+ 38117.623959775563,
+ 38136.255412639417,
+ 38154.889141378575,
+ 38173.525145437234,
+ 38192.163424259939,
+ 38210.803977291551,
+ 38229.446803977284,
+ 38248.091903762703,
+ 38266.739276093685,
+ 38285.388920416466,
+ 38304.040836177606,
+ 38322.695022824002,
+ 38341.351479802899,
+ 38360.010206561863,
+ 38378.671202548816,
+ 38397.334467211993,
+ 38415.999999999978,
+ 38434.667800361683,
+ 38453.33786774637,
+ 38472.010201603611,
+ 38490.684801383337,
+ 38509.361666535784,
+ 38528.040796511552,
+ 38546.722190761553,
+ 38565.405848737035,
+ 38584.091769889594,
+ 38602.779953671132,
+ 38621.470399533908,
+ 38640.163106930493,
+ 38658.858075313794,
+ 38677.555304137059,
+ 38696.254792853862,
+ 38714.956540918094,
+ 38733.660547783991,
+ 38752.366812906112,
+ 38771.075335739348,
+ 38789.78611573892,
+ 38808.499152360368,
+ 38827.214445059573,
+ 38845.931993292739,
+ 38864.651796516388,
+ 38883.373854187383,
+ 38902.098165762916,
+ 38920.824730700486,
+ 38939.553548457938,
+ 38958.284618493431,
+ 38977.017940265461,
+ 38995.753513232834,
+ 39014.491336854699,
+ 39033.231410590517,
+ 39051.973733900079,
+ 39070.718306243485,
+ 39089.465127081188,
+ 39108.214195873945,
+ 39126.965512082832,
+ 39145.719075169261,
+ 39164.474884594965,
+ 39183.232939821988,
+ 39201.99324031271,
+ 39220.755785529815,
+ 39239.52057493633,
+ 39258.287607995589,
+ 39277.056884171245,
+ 39295.828402927284,
+ 39314.602163728006,
+ 39333.378166038019,
+ 39352.15640932227,
+ 39370.936893046004,
+ 39389.719616674811,
+ 39408.504579674584,
+ 39427.291781511522,
+ 39446.081221652174,
+ 39464.872899563372,
+ 39483.666814712291,
+ 39502.462966566411,
+ 39521.261354593538,
+ 39540.06197826178,
+ 39558.864837039568,
+ 39577.669930395656,
+ 39596.47725779911,
+ 39615.286818719302,
+ 39634.098612625923,
+ 39652.912638988993,
+ 39671.728897278823,
+ 39690.547386966064,
+ 39709.368107521652,
+ 39728.191058416858,
+ 39747.016239123259,
+ 39765.84364911275,
+ 39784.673287857528,
+ 39803.505154830105,
+ 39822.339249503319,
+ 39841.175571350293,
+ 39860.014119844491,
+ 39878.854894459677,
+ 39897.697894669909,
+ 39916.54311994958,
+ 39935.390569773372,
+ 39954.240243616303,
+ 39973.092140953675,
+ 39991.946261261117,
+ 40010.802604014549,
+ 40029.661168690225,
+ 40048.521954764678,
+ 40067.384961714779,
+ 40086.250189017679,
+ 40105.117636150855,
+ 40123.98730259209,
+ 40142.859187819471,
+ 40161.733291311379,
+ 40180.609612546526,
+ 40199.488151003912,
+ 40218.368906162854,
+ 40237.25187750296,
+ 40256.137064504153,
+ 40275.024466646668,
+ 40293.914083411029,
+ 40312.805914278084,
+ 40331.699958728961,
+ 40350.596216245103,
+ 40369.494686308273,
+ 40388.39536840051,
+ 40407.298262004173,
+ 40426.20336660192,
+ 40445.110681676706,
+ 40464.020206711793,
+ 40482.931941190756,
+ 40501.845884597446,
+ 40520.762036416032,
+ 40539.680396130985,
+ 40558.600963227072,
+ 40577.523737189367,
+ 40596.448717503234,
+ 40615.375903654342,
+ 40634.305295128659,
+ 40653.236891412453,
+ 40672.170691992294,
+ 40691.106696355047,
+ 40710.044903987873,
+ 40728.985314378238,
+ 40747.927927013901,
+ 40766.872741382918,
+ 40785.819756973651,
+ 40804.768973274746,
+ 40823.720389775161,
+ 40842.674005964131,
+ 40861.629821331211,
+ 40880.587835366234,
+ 40899.548047559321,
+ 40918.510457400931,
+ 40937.475064381761,
+ 40956.441867992849,
+ 40975.410867725499,
+ 40994.382063071331,
+ 41013.355453522236,
+ 41032.331038570417,
+ 41051.308817708363,
+ 41070.288790428858,
+ 41089.270956224987,
+ 41108.255314590111,
+ 41127.241865017888,
+ 41146.23060700229,
+ 41165.221540037543,
+ 41184.214663618193,
+ 41203.209977239079,
+ 41222.207480395307,
+ 41241.207172582297,
+ 41260.209053295752,
+ 41279.213122031659,
+ 41298.219378286303,
+ 41317.227821556255,
+ 41336.23845133838,
+ 41355.251267129832,
+ 41374.266268428037,
+ 41393.283454730743,
+ 41412.302825535953,
+ 41431.324380341983,
+ 41450.348118647416,
+ 41469.374039951144,
+ 41488.402143752326,
+ 41507.432429550427,
+ 41526.464896845187,
+ 41545.499545136627,
+ 41564.536373925075,
+ 41583.575382711126,
+ 41602.616570995662,
+ 41621.659938279874,
+ 41640.705484065205,
+ 41659.753207853406,
+ 41678.803109146495,
+ 41697.855187446803,
+ 41716.909442256911,
+ 41735.965873079709,
+ 41755.02447941836,
+ 41774.085260776315,
+ 41793.148216657297,
+ 41812.213346565331,
+ 41831.280650004708,
+ 41850.350126480014,
+ 41869.421775496106,
+ 41888.495596558132,
+ 41907.571589171515,
+ 41926.649752841957,
+ 41945.730087075463,
+ 41964.812591378286,
+ 41983.897265256979,
+ 42002.984108218378,
+ 42022.073119769593,
+ 42041.164299418015,
+ 42060.257646671307,
+ 42079.353161037419,
+ 42098.450842024591,
+ 42117.550689141324,
+ 42136.652701896404,
+ 42155.756879798893,
+ 42174.863222358137,
+ 42193.971729083758,
+ 42213.082399485655,
+ 42232.195233074002,
+ 42251.310229359246,
+ 42270.427387852127,
+ 42289.546708063644,
+ 42308.668189505079,
+ 42327.791831687995,
+ 42346.917634124227,
+ 42366.045596325886,
+ 42385.175717805352,
+ 42404.307998075295,
+ 42423.442436648642,
+ 42442.579033038608,
+ 42461.717786758672,
+ 42480.858697322597,
+ 42500.001764244422,
+ 42519.146987038446,
+ 42538.294365219248,
+ 42557.443898301688,
+ 42576.595585800882,
+ 42595.749427232236,
+ 42614.90542211142,
+ 42634.063569954378,
+ 42653.223870277317,
+ 42672.386322596729,
+ 42691.55092642938,
+ 42710.717681292292,
+ 42729.886586702756,
+ 42749.057642178363,
+ 42768.23084723694,
+ 42787.406201396603,
+ 42806.58370417574,
+ 42825.76335509299,
+ 42844.945153667286,
+ 42864.129099417805,
+ 42883.315191864014,
+ 42902.503430525649,
+ 42921.693814922692,
+ 42940.88634457541,
+ 42960.081019004348,
+ 42979.277837730297,
+ 42998.476800274322,
+ 43017.677906157769,
+ 43036.881154902228,
+ 43056.086546029583,
+ 43075.294079061961,
+ 43094.503753521763,
+ 43113.715568931671,
+ 43132.929524814601,
+ 43152.145620693766,
+ 43171.363856092619,
+ 43190.584230534907,
+ 43209.806743544621,
+ 43229.031394646016,
+ 43248.258183363621,
+ 43267.487109222224,
+ 43286.718171746885,
+ 43305.951370462906,
+ 43325.186704895881,
+ 43344.42417457165,
+ 43363.663779016322,
+ 43382.905517756262,
+ 43402.149390318104,
+ 43421.395396228749,
+ 43440.643535015348,
+ 43459.89380620532,
+ 43479.146209326354,
+ 43498.400743906379,
+ 43517.657409473606,
+ 43536.916205556496,
+ 43556.177131683784,
+ 43575.44018738444,
+ 43594.705372187724,
+ 43613.972685623135,
+ 43633.242127220445,
+ 43652.513696509668,
+ 43671.787393021099,
+ 43691.063216285271,
+ 43710.341165833001,
+ 43729.621241195346,
+ 43748.903441903625,
+ 43768.187767489413,
+ 43787.474217484552,
+ 43806.762791421126,
+ 43826.053488831501,
+ 43845.346309248278,
+ 43864.641252204325,
+ 43883.938317232765,
+ 43903.237503866971,
+ 43922.538811640596,
+ 43941.842240087513,
+ 43961.147788741881,
+ 43980.455457138101,
+ 43999.765244810835,
+ 44019.077151295001,
+ 44038.391176125755,
+ 44057.70731883854,
+ 44077.02557896902,
+ 44096.345956053141,
+ 44115.668449627083,
+ 44134.993059227287,
+ 44154.319784390456,
+ 44173.648624653535,
+ 44192.979579553728,
+ 44212.312648628489,
+ 44231.647831415532,
+ 44250.985127452805,
+ 44270.324536278538,
+ 44289.666057431183,
+ 44309.009690449464,
+ 44328.355434872348,
+ 44347.703290239064,
+ 44367.053256089079,
+ 44386.405331962109,
+ 44405.759517398139,
+ 44425.115811937387,
+ 44444.474215120332,
+ 44463.834726487694,
+ 44483.197345580462,
+ 44502.562071939843,
+ 44521.928905107328,
+ 44541.297844624634,
+ 44560.668890033732,
+ 44580.042040876848,
+ 44599.417296696454,
+ 44618.794657035272,
+ 44638.174121436256,
+ 44657.555689442641,
+ 44676.939360597877,
+ 44696.325134445673,
+ 44715.713010530002,
+ 44735.102988395054,
+ 44754.495067585296,
+ 44773.88924764542,
+ 44793.285528120374,
+ 44812.683908555344,
+ 44832.084388495779,
+ 44851.486967487363,
+ 44870.891645076015,
+ 44890.298420807922,
+ 44909.707294229491,
+ 44929.118264887409,
+ 44948.531332328566,
+ 44967.946496100136,
+ 44987.363755749502,
+ 45006.783110824319,
+ 45026.204560872473,
+ 45045.628105442098,
+ 45065.053744081561,
+ 45084.48147633949,
+ 45103.911301764747,
+ 45123.343219906426,
+ 45142.777230313885,
+ 45162.21333253671,
+ 45181.651526124733,
+ 45201.091810628037,
+ 45220.534185596924,
+ 45239.978650581965,
+ 45259.425205133957,
+ 45278.873848803938,
+ 45298.324581143192,
+ 45317.777401703235,
+ 45337.232310035848,
+ 45356.68930569302,
+ 45376.148388226997,
+ 45395.60955719027,
+ 45415.072812135557,
+ 45434.538152615823,
+ 45454.005578184282,
+ 45473.475088394356,
+ 45492.946682799746,
+ 45512.420360954362,
+ 45531.896122412363,
+ 45551.373966728155,
+ 45570.853893456362,
+ 45590.33590215187,
+ 45609.819992369776,
+ 45629.306163665438,
+ 45648.794415594442,
+ 45668.284747712612,
+ 45687.777159576006,
+ 45707.27165074092,
+ 45726.768220763894,
+ 45746.266869201696,
+ 45765.767595611323,
+ 45785.270399550034,
+ 45804.775280575297,
+ 45824.282238244828,
+ 45843.79127211657,
+ 45863.302381748719,
+ 45882.815566699683,
+ 45902.33082652813,
+ 45921.848160792935,
+ 45941.367569053225,
+ 45960.889050868354,
+ 45980.41260579793,
+ 45999.938233401757,
+ 46019.465933239902,
+ 46038.995704872657,
+ 46058.527547860547,
+ 46078.06146176433,
+ 46097.597446144995,
+ 46117.135500563774,
+ 46136.675624582109,
+ 46156.217817761702,
+ 46175.762079664462,
+ 46195.308409852543,
+ 46214.856807888333,
+ 46234.407273334444,
+ 46253.959805753715,
+ 46273.51440470924,
+ 46293.071069764315,
+ 46312.629800482478,
+ 46332.190596427499,
+ 46351.753457163381,
+ 46371.318382254351,
+ 46390.885371264863,
+ 46410.45442375962,
+ 46430.025539303526,
+ 46449.598717461733,
+ 46469.17395779962,
+ 46488.751259882782,
+ 46508.33062327707,
+ 46527.912047548532,
+ 46547.495532263471,
+ 46567.081076988397,
+ 46586.668681290059,
+ 46606.258344735434,
+ 46625.850066891719,
+ 46645.443847326351,
+ 46665.039685606986,
+ 46684.637581301497,
+ 46704.237533978005,
+ 46723.839543204842,
+ 46743.443608550573,
+ 46763.049729583989,
+ 46782.657905874104,
+ 46802.268136990162,
+ 46821.880422501628,
+ 46841.494761978196,
+ 46861.111154989776,
+ 46880.729601106526,
+ 46900.350099898795,
+ 46919.97265093719,
+ 46939.597253792526,
+ 46959.223908035841,
+ 46978.852613238392,
+ 46998.483368971691,
+ 47018.11617480743,
+ 47037.751030317551,
+ 47057.387935074221,
+ 47077.026888649809,
+ 47096.66789061694,
+ 47116.310940548428,
+ 47135.956038017328,
+ 47155.603182596918,
+ 47175.252373860698,
+ 47194.903611382375,
+ 47214.556894735892,
+ 47234.212223495422,
+ 47253.869597235338,
+ 47273.52901553025,
+ 47293.19047795498,
+ 47312.853984084577,
+ 47332.519533494306,
+ 47352.187125759658,
+ 47371.856760456343,
+ 47391.528437160297,
+ 47411.202155447652,
+ 47430.877914894787,
+ 47450.555715078299,
+ 47470.235555574982,
+ 47489.917435961863,
+ 47509.601355816201,
+ 47529.287314715453,
+ 47548.975312237308,
+ 47568.665347959672,
+ 47588.357421460656,
+ 47608.051532318605,
+ 47627.747680112072,
+ 47647.445864419846,
+ 47667.14608482091,
+ 47686.848340894474,
+ 47706.552632219973,
+ 47726.258958377046,
+ 47745.967318945557,
+ 47765.677713505589,
+ 47785.390141637428,
+ 47805.104602921601,
+ 47824.821096938824,
+ 47844.539623270044,
+ 47864.260181496429,
+ 47883.982771199349,
+ 47903.707391960394,
+ 47923.434043361369,
+ 47943.162724984308,
+ 47962.893436411439,
+ 47982.626177225218,
+ 48002.36094700831,
+ 48022.097745343599,
+ 48041.836571814172,
+ 48061.57742600335,
+ 48081.32030749465,
+ 48101.065215871815,
+ 48120.81215071879,
+ 48140.56111161974,
+ 48160.312098159047,
+ 48180.065109921306,
+ 48199.820146491307,
+ 48219.577207454073,
+ 48239.336292394844,
+ 48259.097400899045,
+ 48278.860532552339,
+ 48298.625686940592,
+ 48318.392863649875,
+ 48338.162062266485,
+ 48357.933282376915,
+ 48377.706523567889,
+ 48397.481785426316,
+ 48417.259067539344,
+ 48437.038369494308,
+ 48456.819690878765,
+ 48476.603031280487,
+ 48496.388390287451,
+ 48516.175767487839,
+ 48535.965162470042,
+ 48555.756574822684,
+ 48575.550004134566,
+ 48595.345449994718,
+ 48615.142911992378,
+ 48634.942389716991,
+ 48654.743882758201,
+ 48674.547390705877,
+ 48694.352913150084,
+ 48714.160449681112,
+ 48733.969999889443,
+ 48753.781563365759,
+ 48773.595139700978,
+ 48793.410728486211,
+ 48813.228329312769,
+ 48833.047941772187,
+ 48852.869565456189,
+ 48872.693199956717,
+ 48892.518844865925,
+ 48912.346499776155,
+ 48932.176164279976,
+ 48952.007837970152,
+ 48971.841520439666,
+ 48991.677211281676,
+ 49011.514910089587,
+ 49031.354616456978,
+ 49051.196329977654,
+ 49071.04005024561,
+ 49090.885776855059,
+ 49110.733509400408,
+ 49130.583247476279,
+ 49150.434990677488,
+ 49170.288738599062,
+ 49190.144490836232,
+ 49210.002246984441,
+ 49229.86200663932,
+ 49249.723769396718,
+ 49269.587534852675,
+ 49289.453302603448,
+ 49309.32107224549,
+ 49329.190843375451,
+ 49349.062615590192,
+ 49368.936388486785,
+ 49388.812161662492,
+ 49408.689934714785,
+ 49428.569707241324,
+ 49448.45147883999,
+ 49468.335249108866,
+ 49488.22101764621,
+ 49508.108784050521,
+ 49527.99854792047,
+ 49547.890308854934,
+ 49567.784066453009,
+ 49587.679820313977,
+ 49607.57757003732,
+ 49627.477315222721,
+ 49647.379055470075,
+ 49667.28279037946,
+ 49687.188519551179,
+ 49707.096242585707,
+ 49727.005959083741,
+ 49746.917668646165,
+ 49766.831370874068,
+ 49786.747065368734,
+ 49806.66475173166,
+ 49826.584429564515,
+ 49846.506098469203,
+ 49866.429758047794,
+ 49886.355407902578,
+ 49906.283047636032,
+ 49926.212676850846,
+ 49946.144295149883,
+ 49966.077902136225,
+ 49986.013497413151,
+ 50005.951080584135,
+ 50025.890651252834,
+ 50045.832209023123,
+ 50065.775753499074,
+ 50085.721284284933,
+ 50105.668800985164,
+ 50125.618303204428,
+ 50145.569790547575,
+ 50165.523262619652,
+ 50185.478719025901,
+ 50205.436159371769,
+ 50225.395583262893,
+ 50245.356990305103,
+ 50265.320380104429,
+ 50285.285752267104,
+ 50305.253106399534,
+ 50325.222442108337,
+ 50345.193759000336,
+ 50365.16705668252,
+ 50385.142334762102,
+ 50405.119592846473,
+ 50425.098830543218,
+ 50445.080047460127,
+ 50465.063243205179,
+ 50485.048417386541,
+ 50505.035569612577,
+ 50525.024699491856,
+ 50545.015806633128,
+ 50565.008890645338,
+ 50585.003951137631,
+ 50605.00098771933,
+ 50624.999999999971,
+ 50645.000987589265,
+ 50665.003950097132,
+ 50685.008887133677,
+ 50705.015798309192,
+ 50725.024683234165,
+ 50745.035541519283,
+ 50765.048372775411,
+ 50785.063176613621,
+ 50805.079952645159,
+ 50825.098700481489,
+ 50845.119419734241,
+ 50865.142110015244,
+ 50885.166770936521,
+ 50905.193402110279,
+ 50925.222003148934,
+ 50945.252573665071,
+ 50965.285113271471,
+ 50985.319621581119,
+ 51005.356098207172,
+ 51025.394542762981,
+ 51045.434954862096,
+ 51065.477334118244,
+ 51085.521680145357,
+ 51105.567992557546,
+ 51125.616270969113,
+ 51145.66651499454,
+ 51165.718724248516,
+ 51185.772898345916,
+ 51205.829036901778,
+ 51225.887139531362,
+ 51245.947205850105,
+ 51266.009235473619,
+ 51286.073228017718,
+ 51306.139183098399,
+ 51326.207100331856,
+ 51346.276979334456,
+ 51366.348819722756,
+ 51386.42262111351,
+ 51406.498383123653,
+ 51426.57610537031,
+ 51446.655787470787,
+ 51466.737429042587,
+ 51486.82102970338,
+ 51506.906589071048,
+ 51526.994106763632,
+ 51547.083582399391,
+ 51567.175015596738,
+ 51587.268405974297,
+ 51607.363753150858,
+ 51627.461056745415,
+ 51647.56031637713,
+ 51667.661531665362,
+ 51687.764702229651,
+ 51707.869827689727,
+ 51727.976907665499,
+ 51748.085941777055,
+ 51768.196929644677,
+ 51788.309870888836,
+ 51808.42476513017,
+ 51828.541611989524,
+ 51848.660411087905,
+ 51868.781162046515,
+ 51888.90386448674,
+ 51909.028518030143,
+ 51929.155122298485,
+ 51949.283676913685,
+ 51969.414181497872,
+ 51989.546635673345,
+ 52009.681039062583,
+ 52029.817391288263,
+ 52049.955691973213,
+ 52070.095940740481,
+ 52090.238137213273,
+ 52110.382281014987,
+ 52130.5283717692,
+ 52150.676409099666,
+ 52170.826392630333,
+ 52190.97832198532,
+ 52211.132196788931,
+ 52231.288016665654,
+ 52251.445781240145,
+ 52271.60549013727,
+ 52291.76714298204,
+ 52311.930739399664,
+ 52332.096279015546,
+ 52352.263761455244,
+ 52372.433186344519,
+ 52392.604553309284,
+ 52412.777861975665,
+ 52432.953111969946,
+ 52453.130302918595,
+ 52473.309434448267,
+ 52493.490506185793,
+ 52513.67351775818,
+ 52533.858468792605,
+ 52554.045358916446,
+ 52574.234187757254,
+ 52594.42495494274,
+ 52614.617660100812,
+ 52634.812302859558,
+ 52655.008882847229,
+ 52675.20739969227,
+ 52695.407853023295,
+ 52715.610242469098,
+ 52735.814567658657,
+ 52756.02082822111,
+ 52776.229023785803,
+ 52796.439153982225,
+ 52816.651218440056,
+ 52836.865216789171,
+ 52857.081148659599,
+ 52877.29901368155,
+ 52897.518811485425,
+ 52917.740541701773,
+ 52937.964203961354,
+ 52958.18979789508,
+ 52978.417323134046,
+ 52998.646779309529,
+ 53018.878166052978,
+ 53039.111482996006,
+ 53059.346729770419,
+ 53079.583906008193,
+ 53099.823011341483,
+ 53120.0640454026,
+ 53140.307007824063,
+ 53160.551898238533,
+ 53180.79871627887,
+ 53201.047461578091,
+ 53221.2981337694,
+ 53241.550732486176,
+ 53261.805257361964,
+ 53282.061708030487,
+ 53302.32008412564,
+ 53322.580385281493,
+ 53342.842611132299,
+ 53363.106761312469,
+ 53383.372835456597,
+ 53403.640833199453,
+ 53423.910754175973,
+ 53444.18259802126,
+ 53464.456364370613,
+ 53484.732052859479,
+ 53505.009663123499,
+ 53525.289194798468,
+ 53545.570647520362,
+ 53565.854020925333,
+ 53586.139314649699,
+ 53606.426528329954,
+ 53626.715661602764,
+ 53647.006714104959,
+ 53667.299685473547,
+ 53687.59457534572,
+ 53707.891383358816,
+ 53728.190109150361,
+ 53748.490752358055,
+ 53768.793312619753,
+ 53789.09778957349,
+ 53809.404182857485,
+ 53829.712492110106,
+ 53850.022716969899,
+ 53870.334857075584,
+ 53890.648912066055,
+ 53910.964881580367,
+ 53931.28276525774,
+ 53951.602562737586,
+ 53971.924273659461,
+ 53992.24789766311,
+ 54012.57343438844,
+ 54032.90088347553,
+ 54053.23024456462,
+ 54073.561517296133,
+ 54093.894701310644,
+ 54114.22979624891,
+ 54134.566801751855,
+ 54154.90571746057,
+ 54175.246543016314,
+ 54195.589278060506,
+ 54215.933922234755,
+ 54236.280475180814,
+ 54256.628936540626,
+ 54276.97930595628,
+ 54297.331583070045,
+ 54317.685767524359,
+ 54338.041858961828,
+ 54358.399857025215,
+ 54378.759761357462,
+ 54399.121571601667,
+ 54419.485287401105,
+ 54439.850908399218,
+ 54460.218434239614,
+ 54480.587864566056,
+ 54500.95919902248,
+ 54521.332437252997,
+ 54541.707578901878,
+ 54562.084623613555,
+ 54582.46357103264,
+ 54602.844420803893,
+ 54623.227172572246,
+ 54643.611825982807,
+ 54663.998380680838,
+ 54684.386836311773,
+ 54704.777192521207,
+ 54725.169448954897,
+ 54745.563605258772,
+ 54765.959661078923,
+ 54786.357616061614,
+ 54806.757469853255,
+ 54827.159222100439,
+ 54847.562872449904,
+ 54867.968420548583,
+ 54888.375866043534,
+ 54908.785208582012,
+ 54929.196447811417,
+ 54949.609583379322,
+ 54970.024614933463,
+ 54990.441542121727,
+ 55010.86036459219,
+ 55031.28108199306,
+ 55051.703693972733,
+ 55072.128200179759,
+ 55092.554600262847,
+ 55112.982893870874,
+ 55133.413080652877,
+ 55153.845160258061,
+ 55174.279132335789,
+ 55194.714996535586,
+ 55215.152752507143,
+ 55235.592399900306,
+ 55256.033938365079,
+ 55276.477367551655,
+ 55296.92268711036,
+ 55317.369896691685,
+ 55337.818995946305,
+ 55358.269984525024,
+ 55378.72286207883,
+ 55399.177628258869,
+ 55419.634282716441,
+ 55440.092825103013,
+ 55460.553255070205,
+ 55481.015572269804,
+ 55501.479776353764,
+ 55521.945866974187,
+ 55542.413843783339,
+ 55562.883706433655,
+ 55583.355454577715,
+ 55603.82908786826,
+ 55624.304605958219,
+ 55644.782008500639,
+ 55665.261295148754,
+ 55685.742465555952,
+ 55706.225519375774,
+ 55726.710456261928,
+ 55747.197275868275,
+ 55767.685977848843,
+ 55788.176561857814,
+ 55808.669027549528,
+ 55829.163374578478,
+ 55849.659602599328,
+ 55870.157711266889,
+ 55890.657700236145,
+ 55911.159569162221,
+ 55931.663317700411,
+ 55952.168945506164,
+ 55972.676452235086,
+ 55993.185837542944,
+ 56013.697101085651,
+ 56034.210242519301,
+ 56054.72526150012,
+ 56075.242157684508,
+ 56095.760930729011,
+ 56116.281580290342,
+ 56136.804106025367,
+ 56157.328507591104,
+ 56177.85478464474,
+ 56198.382936843598,
+ 56218.912963845185,
+ 56239.444865307138,
+ 56259.978640887268,
+ 56280.514290243525,
+ 56301.051813034042,
+ 56321.591208917082,
+ 56342.13247755108,
+ 56362.675618594607,
+ 56383.220631706419,
+ 56403.767516545398,
+ 56424.316272770608,
+ 56444.866900041241,
+ 56465.419398016667,
+ 56485.973766356394,
+ 56506.530004720102,
+ 56527.088112767611,
+ 56547.648090158902,
+ 56568.209936554107,
+ 56588.773651613519,
+ 56609.339234997584,
+ 56629.9066863669,
+ 56650.47600538221,
+ 56671.04719170442,
+ 56691.620244994599,
+ 56712.195164913959,
+ 56732.771951123868,
+ 56753.350603285835,
+ 56773.931121061541,
+ 56794.513504112823,
+ 56815.097752101647,
+ 56835.683864690152,
+ 56856.271841540627,
+ 56876.86168231551,
+ 56897.453386677393,
+ 56918.046954289028,
+ 56938.642384813298,
+ 56959.239677913261,
+ 56979.838833252121,
+ 57000.439850493225,
+ 57021.04272930009,
+ 57041.647469336371,
+ 57062.254070265873,
+ 57082.862531752558,
+ 57103.472853460553,
+ 57124.085035054108,
+ 57144.699076197649,
+ 57165.314976555739,
+ 57185.932735793103,
+ 57206.552353574611,
+ 57227.173829565276,
+ 57247.797163430281,
+ 57268.42235483494,
+ 57289.049403444733,
+ 57309.678308925286,
+ 57330.30907094237,
+ 57350.941689161911,
+ 57371.576163249985,
+ 57392.212492872815,
+ 57412.850677696784,
+ 57433.490717388406,
+ 57454.132611614368,
+ 57474.776360041491,
+ 57495.421962336746,
+ 57516.069418167266,
+ 57536.718727200314,
+ 57557.36988910332,
+ 57578.022903543861,
+ 57598.677770189643,
+ 57619.334488708548,
+ 57639.993058768589,
+ 57660.653480037938,
+ 57681.315752184906,
+ 57701.979874877965,
+ 57722.64584778573,
+ 57743.31367057695,
+ 57763.983342920546,
+ 57784.654864485572,
+ 57805.328234941233,
+ 57826.003453956881,
+ 57846.680521202026,
+ 57867.359436346305,
+ 57888.040199059527,
+ 57908.722809011633,
+ 57929.407265872709,
+ 57950.093569313001,
+ 57970.781719002895,
+ 57991.471714612911,
+ 58012.16355581375,
+ 58032.857242276223,
+ 58053.552773671312,
+ 58074.25014967013,
+ 58094.949369943948,
+ 58115.650434164185,
+ 58136.353342002389,
+ 58157.058093130276,
+ 58177.764687219693,
+ 58198.47312394264,
+ 58219.183402971255,
+ 58239.895523977837,
+ 58260.609486634821,
+ 58281.325290614775,
+ 58302.042935590434,
+ 58322.762421234678,
+ 58343.483747220511,
+ 58364.206913221096,
+ 58384.931918909751,
+ 58405.658763959924,
+ 58426.3874480452,
+ 58447.117970839339,
+ 58467.85033201622,
+ 58488.584531249864,
+ 58509.320568214462,
+ 58530.058442584334,
+ 58550.798154033931,
+ 58571.539702237875,
+ 58592.283086870906,
+ 58613.028307607929,
+ 58633.775364123983,
+ 58654.52425609425,
+ 58675.274983194053,
+ 58696.027545098877,
+ 58716.781941484325,
+ 58737.538172026158,
+ 58758.296236400274,
+ 58779.056134282728,
+ 58799.817865349694,
+ 58820.581429277503,
+ 58841.346825742643,
+ 58862.114054421712,
+ 58882.883114991484,
+ 58903.654007128847,
+ 58924.426730510851,
+ 58945.201284814684,
+ 58965.977669717664,
+ 58986.755884897269,
+ 59007.535930031117,
+ 59028.317804796949,
+ 59049.101508872664,
+ 59069.887041936301,
+ 59090.674403666046,
+ 59111.463593740213,
+ 59132.254611837263,
+ 59153.047457635803,
+ 59173.84213081457,
+ 59194.638631052461,
+ 59215.436958028506,
+ 59236.237111421855,
+ 59257.039090911829,
+ 59277.842896177877,
+ 59298.648526899589,
+ 59319.455982756685,
+ 59340.26526342905,
+ 59361.076368596696,
+ 59381.889297939757,
+ 59402.704051138542,
+ 59423.520627873484,
+ 59444.339027825139,
+ 59465.159250674224,
+ 59485.9812961016,
+ 59506.805163788253,
+ 59527.630853415307,
+ 59548.458364664046,
+ 59569.287697215863,
+ 59590.118850752311,
+ 59610.951824955089,
+ 59631.786619506012,
+ 59652.623234087048,
+ 59673.461668380311,
+ 59694.301922068029,
+ 59715.143994832593,
+ 59735.987886356525,
+ 59756.833596322482,
+ 59777.681124413255,
+ 59798.530470311794,
+ 59819.381633701159,
+ 59840.234614264569,
+ 59861.089411685381,
+ 59881.94602564707,
+ 59902.804455833269,
+ 59923.664701927737,
+ 59944.526763614384,
+ 59965.390640577243,
+ 59986.256332500488,
+ 60007.123839068438,
+ 60027.993159965539,
+ 60048.864294876381,
+ 60069.737243485688,
+ 60090.612005478324,
+ 60111.488580539284,
+ 60132.366968353708,
+ 60153.247168606867,
+ 60174.129180984164,
+ 60195.013005171153,
+ 60215.898640853513,
+ 60236.786087717061,
+ 60257.675345447751,
+ 60278.566413731671,
+ 60299.459292255044,
+ 60320.353980704247,
+ 60341.25047876576,
+ 60362.148786126229,
+ 60383.048902472423,
+ 60403.950827491237,
+ 60424.854560869717,
+ 60445.76010229504,
+ 60466.667451454516,
+ 60487.57660803559,
+ 60508.487571725847,
+ 60529.400342212997,
+ 60550.314919184893,
+ 60571.231302329521,
+ 60592.149491335003,
+ 60613.069485889588,
+ 60633.991285681674,
+ 60654.914890399785,
+ 60675.840299732568,
+ 60696.767513368832,
+ 60717.696530997484,
+ 60738.627352307602,
+ 60759.55997698837,
+ 60780.494404729128,
+ 60801.430635219323,
+ 60822.368668148556,
+ 60843.308503206565,
+ 60864.250140083204,
+ 60885.193578468468,
+ 60906.138818052495,
+ 60927.085858525541,
+ 60948.034699578006,
+ 60968.985340900421,
+ 60989.937782183442,
+ 61010.892023117864,
+ 61031.848063394616,
+ 61052.805902704764,
+ 61073.765540739492,
+ 61094.726977190134,
+ 61115.690211748137,
+ 61136.655244105103,
+ 61157.622073952742,
+ 61178.590700982917,
+ 61199.561124887616,
+ 61220.533345358948,
+ 61241.507362089171,
+ 61262.483174770663,
+ 61283.460783095943,
+ 61304.440186757645,
+ 61325.421385448557,
+ 61346.404378861582,
+ 61367.389166689762,
+ 61388.375748626262,
+ 61409.364124364387,
+ 61430.354293597571,
+ 61451.346256019373,
+ 61472.340011323497,
+ 61493.335559203762,
+ 61514.332899354122,
+ 61535.332031468672,
+ 61556.332955241618,
+ 61577.335670367313,
+ 61598.340176540238,
+ 61619.346473454993,
+ 61640.354560806329,
+ 61661.3644382891,
+ 61682.376105598312,
+ 61703.389562429089,
+ 61724.404808476691,
+ 61745.42184343651,
+ 61766.440667004063,
+ 61787.461278874987,
+ 61808.483678745069,
+ 61829.507866310203,
+ 61850.533841266435,
+ 61871.561603309929,
+ 61892.591152136971,
+ 61913.622487443987,
+ 61934.655608927525,
+ 61955.690516284267,
+ 61976.727209211022,
+ 61997.765687404724,
+ 62018.805950562448,
+ 62039.847998381381,
+ 62060.891830558845,
+ 62081.93744679229,
+ 62102.984846779298,
+ 62124.034030217575,
+ 62145.084996804966,
+ 62166.137746239416,
+ 62187.19227821903,
+ 62208.248592442025,
+ 62229.306688606739,
+ 62250.366566411656,
+ 62271.428225555377,
+ 62292.491665736627,
+ 62313.556886654267,
+ 62334.623888007271,
+ 62355.692669494762,
+ 62376.763230815974,
+ 62397.835571670272,
+ 62418.909691757144,
+ 62439.98559077621,
+ 62461.063268427228,
+ 62482.142724410049,
+ 62503.223958424685,
+ 62524.306970171267,
+ 62545.39175935003,
+ 62566.478325661366,
+ 62587.566668805768,
+ 62608.656788483881,
+ 62629.748684396451,
+ 62650.842356244357,
+ 62671.937803728622,
+ 62693.035026550366,
+ 62714.134024410858,
+ 62735.234797011479,
+ 62756.337344053733,
+ 62777.441665239276,
+ 62798.547760269852,
+ 62819.655628847358,
+ 62840.765270673801,
+ 62861.876685451323,
+ 62882.989872882186,
+ 62904.104832668774,
+ 62925.221564513602,
+ 62946.340068119309,
+ 62967.460343188657,
+ 62988.582389424526,
+ 63009.70620652994,
+ 63030.831794208025,
+ 63051.959152162039,
+ 63073.08828009537,
+ 63094.219177711529,
+ 63115.351844714154,
+ 63136.486280806988,
+ 63157.622485693922,
+ 63178.760459078956,
+ 63199.900200666219,
+ 63221.041710159967,
+ 63242.184987264569,
+ 63263.330031684534,
+ 63284.476843124474,
+ 63305.625421289144,
+ 63326.775765883409,
+ 63347.927876612259,
+ 63369.081753180813,
+ 63390.237395294316,
+ 63411.39480265812,
+ 63432.553974977716,
+ 63453.714911958712,
+ 63474.877613306839,
+ 63496.042078727944,
+ 63517.208307927998,
+ 63538.376300613119,
+ 63559.546056489504,
+ 63580.717575263516,
+ 63601.890856641607,
+ 63623.065900330374,
+ 63644.242706036515,
+ 63665.421273466869,
+ 63686.601602328381,
+ 63707.783692328136,
+ 63728.967543173334,
+ 63750.153154571279,
+ 63771.340526229418,
+ 63792.529657855317,
+ 63813.720549156649,
+ 63834.913199841227,
+ 63856.107609616978,
+ 63877.303778191941,
+ 63898.501705274284,
+ 63919.7013905723,
+ 63940.902833794404,
+ 63962.106034649114,
+ 63983.310992845094,
+ 64004.517708091109,
+ 64025.726180096048,
+ 64046.936408568938,
+ 64068.1483932189,
+ 64089.362133755196,
+ 64110.577629887193,
+ 64131.794881324393,
+ 64153.013887776404,
+ 64174.234648952966,
+ 64195.457164563937,
+ 64216.681434319289,
+ 64237.907457929112,
+ 64259.135235103626,
+ 64280.36476555316,
+ 64301.596048988169,
+ 64322.829085119236,
+ 64344.06387365704,
+ 64365.300414312398,
+ 64386.538706796251,
+ 64407.778750819634,
+ 64429.020546093721,
+ 64450.26409232981,
+ 64471.509389239291,
+ 64492.756436533709,
+ 64514.005233924705,
+ 64535.255781124033,
+ 64556.50807784358,
+ 64577.762123795357,
+ 64599.017918691468,
+ 64620.275462244172,
+ 64641.534754165805,
+ 64662.795794168844,
+ 64684.058581965895,
+ 64705.323117269661,
+ 64726.589399792974,
+ 64747.857429248776,
+ 64769.127205350138,
+ 64790.398727810236,
+ 64811.671996342375,
+ 64832.947010659969,
+ 64854.223770476558,
+ 64875.502275505794,
+ 64896.782525461451,
+ 64918.064520057414,
+ 64939.348259007682,
+ 64960.633742026388,
+ 64981.920968827762,
+ 65003.209939126165,
+ 65024.500652636067,
+ 65045.793109072067,
+ 65067.087308148861,
+ 65088.383249581282,
+ 65109.680933084259,
+ 65130.980358372864,
+ 65152.28152516226,
+ 65173.584433167736,
+ 65194.889082104703,
+ 65216.195471688683,
+ 65237.503601635319,
+ 65258.813471660353,
+ 65280.125081479666,
+ 65301.438430809241,
+ 65322.753519365178,
+ 65344.070346863708,
+ 65365.388913021146,
+ 65386.709217553958,
+ 65408.031260178701,
+ 65429.355040612056,
+ 65450.680558570821,
+ 65472.00781377191,
+ 65493.336805932355,
+ 65514.66753476928,
+ 65535.999999999956,
+ 65557.334201341757,
+ 65578.670138512171,
+ 65600.007811228788,
+ 65621.347219209332,
+ 65642.688362171626,
+ 65664.031239833639,
+ 65685.375851913413,
+ 65706.722198129137,
+ 65728.070278199084,
+ 65749.420091841661,
+ 65770.771638775404,
+ 65792.124918718939,
+ 65813.479931391004,
+ 65834.836676510458,
+ 65856.195153796303,
+ 65877.5553629676,
+ 65898.917303743554,
+ 65920.280975843489,
+ 65941.646378986843,
+ 65963.013512893158,
+ 65984.382377282076,
+ 66005.752971873386,
+ 66027.125296386963,
+ 66048.499350542799,
+ 66069.875134061018,
+ 66091.252646661844,
+ 66112.631888065618,
+ 66134.01285799277,
+ 66155.395556163887,
+ 66176.779982299631,
+ 66198.166136120795,
+ 66219.554017348273,
+ 66240.943625703105,
+ 66262.334960906388,
+ 66283.728022679396,
+ 66305.122810743444,
+ 66326.519324820023,
+ 66347.917564630698,
+ 66369.317529897162,
+ 66390.719220341227,
+ 66412.122635684791,
+ 66433.527775649884,
+ 66454.934639958636,
+ 66476.343228333324,
+ 66497.753540496284,
+ 66519.165576169995,
+ 66540.57933507704,
+ 66561.994816940118,
+ 66583.412021482043,
+ 66604.830948425733,
+ 66626.251597494222,
+ 66647.673968410629,
+ 66669.098060898235,
+ 66690.523874680381,
+ 66711.951409480564,
+ 66733.380665022371,
+ 66754.811641029475,
+ 66776.244337225711,
+ 66797.678753334985,
+ 66819.11488908132,
+ 66840.552744188884,
+ 66861.992318381905,
+ 66883.433611384738,
+ 66904.876622921889,
+ 66926.321352717903,
+ 66947.767800497502,
+ 66969.215965985466,
+ 66990.665848906734,
+ 67012.117448986304,
+ 67033.570765949335,
+ 67055.025799521056,
+ 67076.482549426815,
+ 67097.941015392076,
+ 67119.401197142433,
+ 67140.863094403554,
+ 67162.326706901222,
+ 67183.792034361351,
+ 67205.259076509959,
+ 67226.72783307315,
+ 67248.198303777172,
+ 67269.670488348347,
+ 67291.144386513144,
+ 67312.619997998088,
+ 67334.09732252988,
+ 67355.576359835293,
+ 67377.057109641188,
+ 67398.53957167457,
+ 67420.023745662547,
+ 67441.50963133233,
+ 67462.99722841123,
+ 67484.486536626689,
+ 67505.977555706224,
+ 67527.470285377494,
+ 67548.964725368263,
+ 67570.460875406367,
+ 67591.9587352198,
+ 67613.458304536631,
+ 67634.95958308503,
+ 67656.462570593329,
+ 67677.967266789899,
+ 67699.473671403248,
+ 67720.981784162024,
+ 67742.491604794923,
+ 67764.003133030797,
+ 67785.516368598575,
+ 67807.031311227314,
+ 67828.547960646174,
+ 67850.066316584402,
+ 67871.58637877139,
+ 67893.108146936589,
+ 67914.63162080961,
+ 67936.156800120138,
+ 67957.683684597971,
+ 67979.212273973011,
+ 68000.742567975263,
+ 68022.274566334876,
+ 68043.808268782057,
+ 68065.343675047145,
+ 68086.880784860579,
+ 68108.419597952918,
+ 68129.960114054789,
+ 68151.502332896969,
+ 68173.04625421032,
+ 68194.591877725834,
+ 68216.139203174564,
+ 68237.688230287706,
+ 68259.238958796544,
+ 68280.791388432481,
+ 68302.345518927032,
+ 68323.901350011787,
+ 68345.458881418483,
+ 68367.018112878912,
+ 68388.579044125028,
+ 68410.141674888844,
+ 68431.706004902502,
+ 68453.272033898262,
+ 68474.839761608455,
+ 68496.409187765545,
+ 68517.980312102081,
+ 68539.553134350732,
+ 68561.127654244279,
+ 68582.70387151558,
+ 68604.281785897634,
+ 68625.861397123503,
+ 68647.44270492639,
+ 68669.025709039604,
+ 68690.610409196524,
+ 68712.196805130661,
+ 68733.784896575627,
+ 68755.374683265123,
+ 68776.966164932994,
+ 68798.559341313128,
+ 68820.154212139591,
+ 68841.750777146473,
+ 68863.349036068044,
+ 68884.948988638629,
+ 68906.550634592684,
+ 68928.153973664739,
+ 68949.75900558944,
+ 68971.365730101577,
+ 68992.974146935987,
+ 69014.584255827634,
+ 69036.196056511588,
+ 69057.809548723017,
+ 69079.424732197207,
+ 69101.041606669532,
+ 69122.660171875468,
+ 69144.280427550606,
+ 69165.902373430625,
+ 69187.526009251334,
+ 69209.151334748618,
+ 69230.778349658474,
+ 69252.40705371699,
+ 69274.037446660412,
+ 69295.669528225,
+ 69317.303298147192,
+ 69338.938756163494,
+ 69360.575902010532,
+ 69382.214735425005,
+ 69403.855256143754,
+ 69425.497463903681,
+ 69447.141358441833,
+ 69468.78693949533,
+ 69490.434206801394,
+ 69512.083160097391,
+ 69533.733799120717,
+ 69555.386123608929,
+ 69577.04013329967,
+ 69598.695827930685,
+ 69620.353207239794,
+ 69642.012270964973,
+ 69663.67301884426,
+ 69685.335450615792,
+ 69706.999566017839,
+ 69728.665364788743,
+ 69750.332846666963,
+ 69772.002011391058,
+ 69793.672858699691,
+ 69815.345388331611,
+ 69837.019600025669,
+ 69858.695493520849,
+ 69880.373068556204,
+ 69902.052324870907,
+ 69923.733262204216,
+ 69945.415880295492,
+ 69967.100178884211,
+ 69988.786157709939,
+ 70010.473816512356,
+ 70032.163155031216,
+ 70053.854173006403,
+ 70075.546870177874,
+ 70097.241246285717,
+ 70118.937301070109,
+ 70140.635034271298,
+ 70162.334445629691,
+ 70184.035534885741,
+ 70205.738301780017,
+ 70227.442746053217,
+ 70249.1488674461,
+ 70270.856665699539,
+ 70292.566140554511,
+ 70314.277291752107,
+ 70335.990119033493,
+ 70357.704622139936,
+ 70379.420800812819,
+ 70401.138654793613,
+ 70422.85818382389,
+ 70444.579387645339,
+ 70466.302265999722,
+ 70488.026818628918,
+ 70509.753045274876,
+ 70531.480945679708,
+ 70553.210519585555,
+ 70574.941766734701,
+ 70596.674686869505,
+ 70618.409279732456,
+ 70640.145545066101,
+ 70661.883482613106,
+ 70683.623092116264,
+ 70705.364373318414,
+ 70727.107325962526,
+ 70748.851949791671,
+ 70770.598244549008,
+ 70792.346209977783,
+ 70814.095845821372,
+ 70835.847151823225,
+ 70857.600127726895,
+ 70879.354773276034,
+ 70901.111088214413,
+ 70922.869072285859,
+ 70944.628725234332,
+ 70966.390046803877,
+ 70988.153036738629,
+ 71009.917694782853,
+ 71031.684020680885,
+ 71053.45201417715,
+ 71075.221675016204,
+ 71096.993002942661,
+ 71118.765997701266,
+ 71140.540659036851,
+ 71162.316986694335,
+ 71184.09498041874,
+ 71205.874639955218,
+ 71227.655965048951,
+ 71249.438955445294,
+ 71271.223610889632,
+ 71293.009931127483,
+ 71314.797915904477,
+ 71336.587564966307,
+ 71358.378878058764,
+ 71380.171854927772,
+ 71401.966495319313,
+ 71423.762798979486,
+ 71445.560765654489,
+ 71467.360395090596,
+ 71489.161687034211,
+ 71510.964641231811,
+ 71532.769257429973,
+ 71554.575535375348,
+ 71576.383474814749,
+ 71598.19307549503,
+ 71620.004337163133,
+ 71641.817259566145,
+ 71663.631842451214,
+ 71685.4480855656,
+ 71707.26598865664,
+ 71729.085551471784,
+ 71750.906773758586,
+ 71772.729655264673,
+ 71794.554195737772,
+ 71816.380394925713,
+ 71838.208252576442,
+ 71860.037768437964,
+ 71881.868942258385,
+ 71903.701773785942,
+ 71925.536262768932,
+ 71947.372408955751,
+ 71969.210212094898,
+ 71991.049671934976,
+ 72012.890788224686,
+ 72034.73356071279,
+ 72056.577989148165,
+ 72078.424073279821,
+ 72100.271812856794,
+ 72122.121207628254,
+ 72143.97225734347,
+ 72165.824961751801,
+ 72187.679320602692,
+ 72209.53533364569,
+ 72231.393000630429,
+ 72253.252321306645,
+ 72275.113295424177,
+ 72296.975922732949,
+ 72318.840202982959,
+ 72340.706135924338,
+ 72362.573721307272,
+ 72384.442958882093,
+ 72406.313848399179,
+ 72428.186389609036,
+ 72450.060582262216,
+ 72471.936426109431,
+ 72493.813920901433,
+ 72515.693066389096,
+ 72537.573862323392,
+ 72559.456308455352,
+ 72581.340404536139,
+ 72603.226150316987,
+ 72625.113545549248,
+ 72647.002589984331,
+ 72668.893283373764,
+ 72690.785625469172,
+ 72712.679616022273,
+ 72734.575254784853,
+ 72756.472541508803,
+ 72778.371475946144,
+ 72800.272057848939,
+ 72822.174286969355,
+ 72844.07816305969,
+ 72865.983685872285,
+ 72887.890855159596,
+ 72909.799670674183,
+ 72931.710132168693,
+ 72953.622239395845,
+ 72975.535992108475,
+ 72997.451390059519,
+ 73019.368433001961,
+ 73041.287120688925,
+ 73063.207452873612,
+ 73085.129429309294,
+ 73107.053049749389,
+ 73128.978313947344,
+ 73150.905221656736,
+ 73172.833772631217,
+ 73194.763966624567,
+ 73216.695803390612,
+ 73238.62928268328,
+ 73260.564404256627,
+ 73282.501167864757,
+ 73304.439573261901,
+ 73326.379620202337,
+ 73348.321308440485,
+ 73370.264637730841,
+ 73392.209607827957,
+ 73414.156218486532,
+ 73436.104469461323,
+ 73458.054360507173,
+ 73480.005891379056,
+ 73501.959061831993,
+ 73523.913871621116,
+ 73545.870320501665,
+ 73567.828408228932,
+ 73589.78813455833,
+ 73611.749499245358,
+ 73633.712502045615,
+ 73655.677142714747,
+ 73677.643421008557,
+ 73699.611336682879,
+ 73721.580889493693,
+ 73743.552079197019,
+ 73765.524905548999,
+ 73787.499368305856,
+ 73809.475467223907,
+ 73831.453202059551,
+ 73853.432572569291,
+ 73875.413578509717,
+ 73897.396219637507,
+ 73919.380495709411,
+ 73941.36640648231,
+ 73963.353951713143,
+ 73985.343131158952,
+ 74007.333944576865,
+ 74029.326391724098,
+ 74051.320472357969,
+ 74073.316186235883,
+ 74095.313533115303,
+ 74117.312512753837,
+ 74139.313124909138,
+ 74161.315369338976,
+ 74183.319245801191,
+ 74205.324754053727,
+ 74227.331893854629,
+ 74249.340664961986,
+ 74271.351067134034,
+ 74293.363100129049,
+ 74315.376763705441,
+ 74337.392057621662,
+ 74359.408981636298,
+ 74381.427535508003,
+ 74403.447718995507,
+ 74425.469531857671,
+ 74447.492973853383,
+ 74469.518044741693,
+ 74491.54474428168,
+ 74513.573072232539,
+ 74535.603028353551,
+ 74557.634612404087,
+ 74579.667824143602,
+ 74601.702663331642,
+ 74623.739129727837,
+ 74645.777223091936,
+ 74667.816943183716,
+ 74689.858289763113,
+ 74711.901262590094,
+ 74733.945861424741,
+ 74755.992086027225,
+ 74778.039936157802,
+ 74800.089411576817,
+ 74822.140512044702,
+ 74844.193237321961,
+ 74866.24758716923,
+ 74888.303561347187,
+ 74910.36115961663,
+ 74932.420381738411,
+ 74954.481227473516,
+ 74976.543696582972,
+ 74998.607788827925,
+ 75020.673503969607,
+ 75042.740841769322,
+ 75064.809801988464,
+ 75086.88038438854,
+ 75108.952588731103,
+ 75131.026414777836,
+ 75153.101862290467,
+ 75175.178931030852,
+ 75197.257620760924,
+ 75219.33793124267,
+ 75241.419862238225,
+ 75263.503413509738,
+ 75285.588584819503,
+ 75307.675375929874,
+ 75329.763786603318,
+ 75351.853816602365,
+ 75373.945465689612,
+ 75396.038733627807,
+ 75418.133620179724,
+ 75440.230125108254,
+ 75462.32824817636,
+ 75484.427989147109,
+ 75506.529347783653,
+ 75528.63232384919,
+ 75550.736917107075,
+ 75572.843127320695,
+ 75594.950954253538,
+ 75617.060397669193,
+ 75639.171457331307,
+ 75661.284133003646,
+ 75683.398424450032,
+ 75705.514331434402,
+ 75727.631853720741,
+ 75749.750991073175,
+ 75771.871743255862,
+ 75793.994110033076,
+ 75816.118091169177,
+ 75838.243686428585,
+ 75860.370895575848,
+ 75882.499718375562,
+ 75904.630154592422,
+ 75926.762203991224,
+ 75948.895866336825,
+ 75971.031141394182,
+ 75993.168028928325,
+ 76015.306528704401,
+ 76037.4466404876,
+ 76059.588364043215,
+ 76081.731699136653,
+ 76103.876645533353,
+ 76126.023202998884,
+ 76148.171371298871,
+ 76170.321150199044,
+ 76192.472539465205,
+ 76214.625538863256,
+ 76236.780148159174,
+ 76258.936367119008,
+ 76281.094195508922,
+ 76303.253633095141,
+ 76325.414679643975,
+ 76347.577334921851,
+ 76369.741598695226,
+ 76391.907470730686,
+ 76414.074950794879,
+ 76436.244038654564,
+ 76458.414734076548,
+ 76480.587036827754,
+ 76502.760946675175,
+ 76524.936463385893,
+ 76547.11358672705,
+ 76569.292316465915,
+ 76591.472652369819,
+ 76613.654594206164,
+ 76635.838141742468,
+ 76658.023294746308,
+ 76680.210052985349,
+ 76702.398416227341,
+ 76724.588384240138,
+ 76746.779956791637,
+ 76768.973133649866,
+ 76791.167914582897,
+ 76813.364299358902,
+ 76835.562287746157,
+ 76857.761879512967,
+ 76879.963074427797,
+ 76902.165872259109,
+ 76924.37027277553,
+ 76946.576275745727,
+ 76968.783880938441,
+ 76990.993088122515,
+ 77013.203897066895,
+ 77035.416307540567,
+ 77057.630319312622,
+ 77079.845932152239,
+ 77102.063145828695,
+ 77124.281960111301,
+ 77146.50237476948,
+ 77168.724389572759,
+ 77190.948004290723,
+ 77213.173218693031,
+ 77235.400032549442,
+ 77257.628445629802,
+ 77279.858457704031,
+ 77302.090068542122,
+ 77324.323277914169,
+ 77346.558085590339,
+ 77368.794491340886,
+ 77391.032494936138,
+ 77413.272096146524,
+ 77435.51329474253,
+ 77457.756090494731,
+ 77480.000483173804,
+ 77502.246472550498,
+ 77524.494058395634,
+ 77546.743240480107,
+ 77568.994018574944,
+ 77591.246392451198,
+ 77613.500361880026,
+ 77635.755926632657,
+ 77658.013086480438,
+ 77680.271841194757,
+ 77702.532190547092,
+ 77724.794134309021,
+ 77747.057672252195,
+ 77769.322804148323,
+ 77791.589529769248,
+ 77813.857848886837,
+ 77836.127761273063,
+ 77858.399266699998,
+ 77880.67236493979,
+ 77902.947055764627,
+ 77925.223338946831,
+ 77947.50121425878,
+ 77969.780681472927,
+ 77992.061740361838,
+ 78014.344390698127,
+ 78036.628632254491,
+ 78058.914464803747,
+ 78081.201888118725,
+ 78103.490901972415,
+ 78125.781506137821,
+ 78148.073700388064,
+ 78170.367484496339,
+ 78192.662858235926,
+ 78214.959821380166,
+ 78237.258373702498,
+ 78259.558514976452,
+ 78281.860244975614,
+ 78304.163563473659,
+ 78326.468470244363,
+ 78348.77496506153,
+ 78371.083047699125,
+ 78393.392717931114,
+ 78415.703975531578,
+ 78438.016820274701,
+ 78460.331251934695,
+ 78482.647270285903,
+ 78504.964875102727,
+ 78527.284066159627,
+ 78549.604843231195,
+ 78571.927206092048,
+ 78594.251154516911,
+ 78616.576688280606,
+ 78638.903807157985,
+ 78661.232510924034,
+ 78683.562799353778,
+ 78705.894672222363,
+ 78728.228129304945,
+ 78750.563170376859,
+ 78772.899795213423,
+ 78795.238003590101,
+ 78817.577795282399,
+ 78839.919170065928,
+ 78862.262127716356,
+ 78884.606668009452,
+ 78906.952790721043,
+ 78929.300495627045,
+ 78951.64978250346,
+ 78974.000651126378,
+ 78996.353101271932,
+ 79018.707132716358,
+ 79041.062745235977,
+ 79063.41993860717,
+ 79085.778712606436,
+ 79108.139067010285,
+ 79130.501001595389,
+ 79152.864516138419,
+ 79175.22961041618,
+ 79197.596284205531,
+ 79219.96453728342,
+ 79242.33436942687,
+ 79264.705780412987,
+ 79287.078770018954,
+ 79309.453338022009,
+ 79331.829484199508,
+ 79354.207208328866,
+ 79376.586510187582,
+ 79398.967389553218,
+ 79421.349846203433,
+ 79443.733879915948,
+ 79466.119490468584,
+ 79488.50667763922,
+ 79510.895441205823,
+ 79533.285780946433,
+ 79555.677696639163,
+ 79578.071188062226,
+ 79600.466254993895,
+ 79622.862897212515,
+ 79645.261114496549,
+ 79667.660906624471,
+ 79690.062273374875,
+ 79712.465214526455,
+ 79734.869729857935,
+ 79757.275819148126,
+ 79779.683482175955,
+ 79802.092718720378,
+ 79824.503528560454,
+ 79846.915911475327,
+ 79869.329867244203,
+ 79891.745395646343,
+ 79914.162496461155,
+ 79936.581169468045,
+ 79959.001414446553,
+ 79981.423231176261,
+ 80003.846619436852,
+ 80026.271579008084,
+ 80048.698109669771,
+ 80071.12621120183,
+ 80093.555883384237,
+ 80115.987125997053,
+ 80138.419938820414,
+ 80160.854321634528,
+ 80183.290274219689,
+ 80205.727796356281,
+ 80228.166887824715,
+ 80250.607548405547,
+ 80273.049777879336,
+ 80295.493576026798,
+ 80317.938942628651,
+ 80340.385877465727,
+ 80362.834380318949,
+ 80385.28445096928,
+ 80407.736089197788,
+ 80430.189294785596,
+ 80452.644067513917,
+ 80475.100407164035,
+ 80497.558313517322,
+ 80520.017786355209,
+ 80542.478825459213,
+ 80564.941430610925,
+ 80587.405601592007,
+ 80609.871338184195,
+ 80632.338640169342,
+ 80654.8075073293,
+ 80677.277939446067,
+ 80699.749936301683,
+ 80722.223497678278,
+ 80744.698623358039,
+ 80767.17531312324,
+ 80789.653566756242,
+ 80812.133384039465,
+ 80834.614764755403,
+ 80857.097708686648,
+ 80879.582215615854,
+ 80902.068285325731,
+ 80924.555917599093,
+ 80947.045112218824,
+ 80969.535868967869,
+ 80992.028187629272,
+ 81014.522067986123,
+ 81037.017509821613,
+ 81059.514512919006,
+ 81082.013077061609,
+ 81104.513202032831,
+ 81127.014887616184,
+ 81149.518133595193,
+ 81172.022939753486,
+ 81194.529305874807,
+ 81217.037231742899,
+ 81239.546717141639,
+ 81262.057761854958,
+ 81284.570365666848,
+ 81307.084528361403,
+ 81329.600249722775,
+ 81352.117529535186,
+ 81374.636367582949,
+ 81397.156763650448,
+ 81419.678717522125,
+ 81442.202228982511,
+ 81464.727297816222,
+ 81487.253923807933,
+ 81509.782106742379,
+ 81532.311846404409,
+ 81554.843142578902,
+ 81577.375995050839,
+ 81599.910403605274,
+ 81622.446368027333,
+ 81644.983888102215,
+ 81667.522963615178,
+ 81690.063594351581,
+ 81712.605780096841,
+ 81735.149520636449,
+ 81757.694815755967,
+ 81780.241665241047,
+ 81802.79006887741,
+ 81825.340026450824,
+ 81847.891537747171,
+ 81870.444602552379,
+ 81892.999220652477,
+ 81915.555391833506,
+ 81938.113115881672,
+ 81960.672392583176,
+ 81983.233221724338,
+ 82005.795603091537,
+ 82028.359536471224,
+ 82050.925021649906,
+ 82073.492058414209,
+ 82096.060646550788,
+ 82118.630785846399,
+ 82141.202476087841,
+ 82163.775717062032,
+ 82186.35050855593,
+ 82208.926850356569,
+ 82231.504742251054,
+ 82254.084184026578,
+ 82276.665175470393,
+ 82299.24771636985,
+ 82321.831806512317,
+ 82344.417445685307,
+ 82367.004633676348,
+ 82389.593370273054,
+ 82412.183655263143,
+ 82434.775488434374,
+ 82457.368869574595,
+ 82479.963798471697,
+ 82502.560274913689,
+ 82525.158298688606,
+ 82547.757869584602,
+ 82570.35898738986,
+ 82592.961651892678,
+ 82615.565862881398,
+ 82638.171620144421,
+ 82660.778923470265,
+ 82683.387772647475,
+ 82705.998167464713,
+ 82728.610107710658,
+ 82751.223593174116,
+ 82773.83862364394,
+ 82796.45519890904,
+ 82819.073318758441,
+ 82841.692982981185,
+ 82864.314191366429,
+ 82886.936943703375,
+ 82909.561239781324,
+ 82932.187079389638,
+ 82954.814462317736,
+ 82977.443388355125,
+ 83000.073857291369,
+ 83022.70586891612,
+ 83045.339423019104,
+ 83067.974519390089,
+ 83090.611157818959,
+ 83113.249338095629,
+ 83135.8890600101,
+ 83158.530323352461,
+ 83181.173127912858,
+ 83203.817473481497,
+ 83226.463359848669,
+ 83249.11078680474,
+ 83271.759754140134,
+ 83294.410261645375,
+ 83317.062309111003,
+ 83339.715896327703,
+ 83362.371023086147,
+ 83385.027689177165,
+ 83407.685894391587,
+ 83430.345638520361,
+ 83453.006921354478,
+ 83475.669742685001,
+ 83498.334102303095,
+ 83520.999999999942,
+ 83543.667435566866,
+ 83566.336408795192,
+ 83589.006919476349,
+ 83611.678967401851,
+ 83634.352552363242,
+ 83657.027674152167,
+ 83679.704332560359,
+ 83702.382527379552,
+ 83725.062258401638,
+ 83747.743525418511,
+ 83770.42632822218,
+ 83793.110666604684,
+ 83815.796540358162,
+ 83838.483949274829,
+ 83861.172893146941,
+ 83883.863371766842,
+ 83906.555384926964,
+ 83929.248932419752,
+ 83951.944014037799,
+ 83974.640629573696,
+ 83997.338778820151,
+ 84020.038461569929,
+ 84042.739677615857,
+ 84065.442426750829,
+ 84088.146708767847,
+ 84110.852523459922,
+ 84133.559870620171,
+ 84156.268750041796,
+ 84178.979161518029,
+ 84201.691104842204,
+ 84224.404579807713,
+ 84247.119586208006,
+ 84269.83612383662,
+ 84292.55419248715,
+ 84315.273791953281,
+ 84337.994922028738,
+ 84360.717582507335,
+ 84383.441773182945,
+ 84406.167493849513,
+ 84428.894744301069,
+ 84451.623524331691,
+ 84474.353833735542,
+ 84497.085672306828,
+ 84519.819039839858,
+ 84542.553936128999,
+ 84565.290360968676,
+ 84588.028314153402,
+ 84610.767795477717,
+ 84633.508804736295,
+ 84656.251341723822,
+ 84678.995406235073,
+ 84701.740998064924,
+ 84724.488117008252,
+ 84747.236762860062,
+ 84769.986935415407,
+ 84792.73863446941,
+ 84815.491859817252,
+ 84838.246611254188,
+ 84861.002888575575,
+ 84883.760691576768,
+ 84906.520020053256,
+ 84929.28087380057,
+ 84952.043252614312,
+ 84974.807156290146,
+ 84997.572584623806,
+ 85020.339537411113,
+ 85043.108014447949,
+ 85065.878015530237,
+ 85088.649540453989,
+ 85111.422589015303,
+ 85134.197161010321,
+ 85156.973256235244,
+ 85179.750874486374,
+ 85202.530015560071,
+ 85225.310679252725,
+ 85248.092865360857,
+ 85270.876573681016,
+ 85293.661804009811,
+ 85316.448556143951,
+ 85339.236829880188,
+ 85362.026625015351,
+ 85384.817941346351,
+ 85407.610778670132,
+ 85430.405136783724,
+ 85453.201015484257,
+ 85475.998414568865,
+ 85498.797333834795,
+ 85521.597773079353,
+ 85544.399732099904,
+ 85567.203210693886,
+ 85590.008208658808,
+ 85612.814725792239,
+ 85635.62276189182,
+ 85658.432316755265,
+ 85681.243390180331,
+ 85704.055981964877,
+ 85726.870091906807,
+ 85749.685719804082,
+ 85772.502865454764,
+ 85795.321528656961,
+ 85818.141709208852,
+ 85840.963406908675,
+ 85863.78662155474,
+ 85886.611352945445,
+ 85909.437600879217,
+ 85932.26536515457,
+ 85955.094645570091,
+ 85977.92544192441,
+ 86000.757754016275,
+ 86023.591581644432,
+ 86046.426924607746,
+ 86069.263782705122,
+ 86092.102155735556,
+ 86114.942043498071,
+ 86137.783445791807,
+ 86160.626362415918,
+ 86183.470793169676,
+ 86206.316737852379,
+ 86229.164196263402,
+ 86252.013168202204,
+ 86274.863653468303,
+ 86297.715651861261,
+ 86320.569163180728,
+ 86343.424187226425,
+ 86366.280723798132,
+ 86389.138772695675,
+ 86411.998333718977,
+ 86434.859406668009,
+ 86457.721991342827,
+ 86480.586087543532,
+ 86503.451695070296,
+ 86526.318813723352,
+ 86549.187443303032,
+ 86572.057583609683,
+ 86594.929234443756,
+ 86617.802395605773,
+ 86640.677066896271,
+ 86663.553248115903,
+ 86686.43093906538,
+ 86709.310139545443,
+ 86732.190849356964,
+ 86755.073068300815,
+ 86777.956796177954,
+ 86800.842032789442,
+ 86823.728777936354,
+ 86846.617031419853,
+ 86869.506793041175,
+ 86892.398062601613,
+ 86915.290839902518,
+ 86938.185124745316,
+ 86961.080916931489,
+ 86983.978216262592,
+ 87006.87702254027,
+ 87029.777335566177,
+ 87052.67915514209,
+ 87075.582481069796,
+ 87098.487313151185,
+ 87121.39365118822,
+ 87144.301494982894,
+ 87167.210844337285,
+ 87190.121699053532,
+ 87213.034058933845,
+ 87235.947923780506,
+ 87258.863293395829,
+ 87281.780167582241,
+ 87304.698546142172,
+ 87327.618428878181,
+ 87350.539815592856,
+ 87373.462706088845,
+ 87396.387100168897,
+ 87419.312997635774,
+ 87442.240398292357,
+ 87465.16930194154,
+ 87488.099708386319,
+ 87511.031617429733,
+ 87533.965028874911,
+ 87556.899942525008,
+ 87579.836358183282,
+ 87602.774275653021,
+ 87625.713694737613,
+ 87648.654615240492,
+ 87671.597036965148,
+ 87694.540959715145,
+ 87717.486383294105,
+ 87740.433307505737,
+ 87763.381732153779,
+ 87786.331657042057,
+ 87809.283081974456,
+ 87832.236006754916,
+ 87855.190431187453,
+ 87878.146355076155,
+ 87901.103778225151,
+ 87924.062700438633,
+ 87947.023121520891,
+ 87969.985041276246,
+ 87992.948459509105,
+ 88015.913376023906,
+ 88038.879790625171,
+ 88061.847703117513,
+ 88084.817113305573,
+ 88107.788020994049,
+ 88130.760425987726,
+ 88153.734328091465,
+ 88176.709727110137,
+ 88199.686622848749,
+ 88222.665015112303,
+ 88245.644903705906,
+ 88268.626288434709,
+ 88291.609169103947,
+ 88314.593545518903,
+ 88337.579417484914,
+ 88360.566784807408,
+ 88383.555647291854,
+ 88406.546004743795,
+ 88429.537856968818,
+ 88452.531203772611,
+ 88475.52604496089,
+ 88498.522380339447,
+ 88521.52020971413,
+ 88544.519532890874,
+ 88567.520349675644,
+ 88590.522659874507,
+ 88613.526463293543,
+ 88636.531759738922,
+ 88659.538549016899,
+ 88682.546830933745,
+ 88705.556605295846,
+ 88728.567871909589,
+ 88751.580630581491,
+ 88774.594881118086,
+ 88797.610623325963,
+ 88820.62785701183,
+ 88843.646581982393,
+ 88866.666798044462,
+ 88889.688505004888,
+ 88912.711702670611,
+ 88935.7363908486,
+ 88958.762569345898,
+ 88981.790237969632,
+ 89004.81939652696,
+ 89027.850044825114,
+ 89050.882182671412,
+ 89073.9158098732,
+ 89096.950926237885,
+ 89119.987531572973,
+ 89143.025625686001,
+ 89166.065208384563,
+ 89189.106279476357,
+ 89212.148838769106,
+ 89235.192886070581,
+ 89258.238421188667,
+ 89281.285443931265,
+ 89304.333954106376,
+ 89327.383951522017,
+ 89350.435435986306,
+ 89373.488407307406,
+ 89396.542865293537,
+ 89419.598809753006,
+ 89442.656240494165,
+ 89465.715157325409,
+ 89488.775560055219,
+ 89511.837448492137,
+ 89534.900822444746,
+ 89557.965681721733,
+ 89581.032026131812,
+ 89604.099855483742,
+ 89627.169169586399,
+ 89650.239968248672,
+ 89673.312251279538,
+ 89696.386018488018,
+ 89719.461269683205,
+ 89742.53800467425,
+ 89765.616223270365,
+ 89788.69592528083,
+ 89811.777110514988,
+ 89834.859778782207,
+ 89857.943929891975,
+ 89881.029563653807,
+ 89904.116679877261,
+ 89927.205278372014,
+ 89950.29535894774,
+ 89973.386921414218,
+ 89996.479965581268,
+ 90019.574491258769,
+ 90042.670498256688,
+ 90065.767986385021,
+ 90088.866955453836,
+ 90111.967405273259,
+ 90135.069335653476,
+ 90158.172746404758,
+ 90181.277637337407,
+ 90204.384008261797,
+ 90227.49185898836,
+ 90250.601189327586,
+ 90273.711999090039,
+ 90296.824288086325,
+ 90319.938056127125,
+ 90343.053303023189,
+ 90366.170028585286,
+ 90389.288232624298,
+ 90412.407914951138,
+ 90435.529075376777,
+ 90458.651713712257,
+ 90481.775829768681,
+ 90504.901423357209,
+ 90528.028494289058,
+ 90551.157042375504,
+ 90574.287067427911,
+ 90597.418569257643,
+ 90620.551547676194,
+ 90643.686002495073,
+ 90666.821933525847,
+ 90689.959340580186,
+ 90713.098223469773,
+ 90736.238582006365,
+ 90759.380416001804,
+ 90782.523725267951,
+ 90805.668509616764,
+ 90828.814768860233,
+ 90851.962502810435,
+ 90875.11171127946,
+ 90898.262394079517,
+ 90921.414551022855,
+ 90944.568181921743,
+ 90967.72328658856,
+ 90990.879864835719,
+ 91014.037916475718,
+ 91037.19744132107,
+ 91060.358439184391,
+ 91083.520909878338,
+ 91106.684853215629,
+ 91129.850269009039,
+ 91153.017157071401,
+ 91176.185517215621,
+ 91199.355349254649,
+ 91222.526653001492,
+ 91245.699428269247,
+ 91268.873674871036,
+ 91292.049392620058,
+ 91315.226581329553,
+ 91338.405240812834,
+ 91361.585370883287,
+ 91384.766971354344,
+ 91407.950042039476,
+ 91431.134582752245,
+ 91454.320593306256,
+ 91477.508073515171,
+ 91500.697023192712,
+ 91523.887442152685,
+ 91547.07933020893,
+ 91570.272687175326,
+ 91593.467512865856,
+ 91616.663807094534,
+ 91639.861569675442,
+ 91663.060800422725,
+ 91686.261499150554,
+ 91709.463665673218,
+ 91732.66729980502,
+ 91755.872401360321,
+ 91779.078970153569,
+ 91802.287005999257,
+ 91825.49650871192,
+ 91848.707478106167,
+ 91871.91991399668,
+ 91895.133816198169,
+ 91918.349184525418,
+ 91941.566018793281,
+ 91964.784318816659,
+ 91988.004084410495,
+ 92011.22531538982,
+ 92034.448011569708,
+ 92057.672172765277,
+ 92080.897798791746,
+ 92104.124889464365,
+ 92127.353444598411,
+ 92150.58346400928,
+ 92173.814947512379,
+ 92197.04789492322,
+ 92220.282306057314,
+ 92243.518180730272,
+ 92266.755518757753,
+ 92289.994319955469,
+ 92313.234584139194,
+ 92336.476311124774,
+ 92359.719500728082,
+ 92382.964152765067,
+ 92406.210267051734,
+ 92429.457843404161,
+ 92452.706881638471,
+ 92475.957381570814,
+ 92499.209343017443,
+ 92522.462765794655,
+ 92545.717649718805,
+ 92568.973994606305,
+ 92592.231800273614,
+ 92615.491066537259,
+ 92638.751793213814,
+ 92662.01398011994,
+ 92685.277627072326,
+ 92708.54273388772,
+ 92731.809300382942,
+ 92755.077326374871,
+ 92778.346811680414,
+ 92801.617756116568,
+ 92824.890159500384,
+ 92848.164021648947,
+ 92871.439342379424,
+ 92894.716121509016,
+ 92917.994358855023,
+ 92941.274054234746,
+ 92964.555207465572,
+ 92987.837818364962,
+ 93011.121886750407,
+ 93034.407412439468,
+ 93057.694395249753,
+ 93080.982834998955,
+ 93104.272731504767,
+ 93127.564084584999,
+ 93150.856894057491,
+ 93174.15115974014,
+ 93197.446881450916,
+ 93220.744059007804,
+ 93244.04269222889,
+ 93267.342780932304,
+ 93290.644324936235,
+ 93313.947324058914,
+ 93337.251778118633,
+ 93360.557686933767,
+ 93383.865050322696,
+ 93407.173868103928,
+ 93430.484140095941,
+ 93453.795866117362,
+ 93477.109045986799,
+ 93500.423679522952,
+ 93523.739766544561,
+ 93547.057306870454,
+ 93570.376300319491,
+ 93593.696746710571,
+ 93617.018645862699,
+ 93640.341997594893,
+ 93663.666801726242,
+ 93686.993058075881,
+ 93710.320766463032,
+ 93733.64992670693,
+ 93756.980538626914,
+ 93780.312602042337,
+ 93803.646116772637,
+ 93826.981082637285,
+ 93850.317499455836,
+ 93873.655367047861,
+ 93896.994685233032,
+ 93920.335453831038,
+ 93943.677672661666,
+ 93967.021341544707,
+ 93990.366460300051,
+ 94013.713028747632,
+ 94037.061046707429,
+ 94060.410513999494,
+ 94083.761430443905,
+ 94107.113795860845,
+ 94130.467610070496,
+ 94153.822872893157,
+ 94177.179584149111,
+ 94200.537743658759,
+ 94223.897351242529,
+ 94247.25840672091,
+ 94270.620909914433,
+ 94293.98486064373,
+ 94317.350258729421,
+ 94340.71710399224,
+ 94364.085396252936,
+ 94387.455135332348,
+ 94410.82632105134,
+ 94434.198953230851,
+ 94457.573031691878,
+ 94480.948556255447,
+ 94504.325526742658,
+ 94527.70394297468,
+ 94551.083804772716,
+ 94574.465111958023,
+ 94597.847864351934,
+ 94621.232061775823,
+ 94644.617704051096,
+ 94668.004790999272,
+ 94691.393322441872,
+ 94714.783298200506,
+ 94738.174718096794,
+ 94761.567581952477,
+ 94784.961889589307,
+ 94808.357640829097,
+ 94831.754835493703,
+ 94855.153473405066,
+ 94878.553554385173,
+ 94901.955078256055,
+ 94925.358044839784,
+ 94948.762453958523,
+ 94972.168305434476,
+ 94995.575599089891,
+ 95018.984334747074,
+ 95042.394512228391,
+ 95065.806131356265,
+ 95089.219191953176,
+ 95112.633693841635,
+ 95136.04963684424,
+ 95159.467020783617,
+ 95182.885845482466,
+ 95206.306110763529,
+ 95229.727816449609,
+ 95253.150962363579,
+ 95276.575548328314,
+ 95300.001574166803,
+ 95323.429039702052,
+ 95346.857944757154,
+ 95370.288289155214,
+ 95393.720072719429,
+ 95417.153295273019,
+ 95440.587956639298,
+ 95464.024056641589,
+ 95487.461595103305,
+ 95510.900571847902,
+ 95534.340986698866,
+ 95557.782839479783,
+ 95581.226130014256,
+ 95604.670858125959,
+ 95628.117023638595,
+ 95651.564626375985,
+ 95675.013666161918,
+ 95698.464142820303,
+ 95721.916056175076,
+ 95745.369406050231,
+ 95768.824192269807,
+ 95792.280414657915,
+ 95815.738073038709,
+ 95839.197167236387,
+ 95862.657697075221,
+ 95886.11966237954,
+ 95909.583062973688,
+ 95933.047898682111,
+ 95956.514169329268,
+ 95979.981874739708,
+ 96003.451014738006,
+ 96026.921589148798,
+ 96050.393597796792,
+ 96073.867040506724,
+ 96097.341917103375,
+ 96120.818227411626,
+ 96144.295971256375,
+ 96167.775148462577,
+ 96191.255758855244,
+ 96214.737802259449,
+ 96238.221278500292,
+ 96261.70618740299,
+ 96285.192528792715,
+ 96308.680302494788,
+ 96332.169508334526,
+ 96355.660146137321,
+ 96379.152215728609,
+ 96402.645716933868,
+ 96426.14064957868,
+ 96449.637013488609,
+ 96473.134808489311,
+ 96496.63403440651,
+ 96520.134691065963,
+ 96543.636778293469,
+ 96567.140295914898,
+ 96590.645243756153,
+ 96614.151621643221,
+ 96637.659429402134,
+ 96661.168666858954,
+ 96684.679333839798,
+ 96708.191430170875,
+ 96731.70495567839,
+ 96755.219910188665,
+ 96778.736293528011,
+ 96802.254105522836,
+ 96825.77334599958,
+ 96849.29401478474,
+ 96872.816111704873,
+ 96896.339636586577,
+ 96919.864589256511,
+ 96943.390969541389,
+ 96966.918777267958,
+ 96990.448012263048,
+ 97013.978674353522,
+ 97037.510763366285,
+ 97061.044279128328,
+ 97084.579221466673,
+ 97108.115590208385,
+ 97131.653385180587,
+ 97155.19260621049,
+ 97178.733253125291,
+ 97202.2753257523,
+ 97225.81882391886,
+ 97249.363747452342,
+ 97272.910096180189,
+ 97296.457869929916,
+ 97320.007068529041,
+ 97343.557691805196,
+ 97367.109739586012,
+ 97390.663211699197,
+ 97414.218107972498,
+ 97437.774428233737,
+ 97461.332172310766,
+ 97484.891340031507,
+ 97508.451931223899,
+ 97532.013945715982,
+ 97555.577383335811,
+ 97579.142243911512,
+ 97602.708527271257,
+ 97626.276233243261,
+ 97649.845361655811,
+ 97673.415912337223,
+ 97696.987885115886,
+ 97720.561279820206,
+ 97744.1360962787,
+ 97767.712334319876,
+ 97791.289993772341,
+ 97814.869074464703,
+ 97838.449576225685,
+ 97862.031498883996,
+ 97885.614842268449,
+ 97909.199606207883,
+ 97932.785790531183,
+ 97956.37339506732,
+ 97979.962419645264,
+ 98003.552864094076,
+ 98027.144728242856,
+ 98050.738011920766,
+ 98074.332714956996,
+ 98097.928837180807,
+ 98121.526378421506,
+ 98145.125338508456,
+ 98168.725717271067,
+ 98192.327514538789,
+ 98215.930730141132,
+ 98239.535363907664,
+ 98263.141415668011,
+ 98286.748885251814,
+ 98310.357772488816,
+ 98333.968077208759,
+ 98357.579799241488,
+ 98381.192938416847,
+ 98404.807494564782,
+ 98428.42346751524,
+ 98452.040857098269,
+ 98475.659663143917,
+ 98499.27988548232,
+ 98522.901523943656,
+ 98546.524578358163,
+ 98570.149048556093,
+ 98593.774934367786,
+ 98617.402235623624,
+ 98641.030952154048,
+ 98664.661083789513,
+ 98688.292630360564,
+ 98711.925591697771,
+ 98735.559967631794,
+ 98759.195757993293,
+ 98782.832962613014,
+ 98806.471581321734,
+ 98830.111613950285,
+ 98853.753060329575,
+ 98877.39592029051,
+ 98901.040193664099,
+ 98924.68588028138,
+ 98948.33297997342,
+ 98971.981492571387,
+ 98995.63141790645,
+ 99019.282755809851,
+ 99042.935506112874,
+ 99066.589668646877,
+ 99090.245243243233,
+ 99113.902229733401,
+ 99137.560627948857,
+ 99161.220437721131,
+ 99184.881658881859,
+ 99208.544291262631,
+ 99232.208334695169,
+ 99255.87378901121,
+ 99279.540654042547,
+ 99303.208929621018,
+ 99326.878615578535,
+ 99350.549711746993,
+ 99374.222217958435,
+ 99397.896134044888,
+ 99421.571459838422,
+ 99445.248195171211,
+ 99468.926339875441,
+ 99492.605893783344,
+ 99516.286856727209,
+ 99539.969228539398,
+ 99563.653009052287,
+ 99587.338198098325,
+ 99611.024795510006,
+ 99634.712801119866,
+ 99658.402214760499,
+ 99682.093036264545,
+ 99705.785265464699,
+ 99729.478902193689,
+ 99753.173946284325,
+ 99776.870397569437,
+ 99800.56825588191,
+ 99824.267521054688,
+ 99847.968192920773,
+ 99871.670271313182,
+ 99895.373756065004,
+ 99919.078647009388,
+ 99942.78494397951,
+ 99966.492646808634,
+ 99990.20175533001,
+ 100013.91226937699,
+ 100037.62418878295,
+ 100061.33751338134,
+ 100085.05224300563,
+ 100108.76837748935,
+ 100132.4859166661,
+ 100156.2048603695,
+ 100179.92520843323,
+ 100203.64696069101,
+ 100227.37011697664,
+ 100251.09467712394,
+ 100274.82064096678,
+ 100298.54800833909,
+ 100322.27677907483,
+ 100346.00695300807,
+ 100369.73852997283,
+ 100393.47150980328,
+ 100417.20589233354,
+ 100440.94167739789,
+ 100464.67886483055,
+ 100488.41745446586,
+ 100512.1574461382,
+ 100535.89883968196,
+ 100559.64163493161,
+ 100583.38583172169,
+ 100607.13142988674,
+ 100630.87842926137,
+ 100654.62682968024,
+ 100678.37663097809,
+ 100702.12783298964,
+ 100725.88043554971,
+ 100749.63443849317,
+ 100773.38984165489,
+ 100797.14664486986,
+ 100820.90484797307,
+ 100844.66445079957,
+ 100868.42545318443,
+ 100892.18785496285,
+ 100915.95165596998,
+ 100939.71685604109,
+ 100963.48345501146,
+ 100987.25145271645,
+ 101011.02084899142,
+ 101034.79164367182,
+ 101058.56383659317,
+ 101082.33742759094,
+ 101106.11241650078,
+ 101129.88880315828,
+ 101153.66658739912,
+ 101177.44576905905,
+ 101201.22634797383,
+ 101225.00832397929,
+ 101248.7916969113,
+ 101272.57646660579,
+ 101296.36263289873,
+ 101320.15019562612,
+ 101343.93915462404,
+ 101367.7295097286,
+ 101391.52126077596,
+ 101415.31440760233,
+ 101439.10895004397,
+ 101462.9048879372,
+ 101486.70222111834,
+ 101510.50094942382,
+ 101534.30107269008,
+ 101558.10259075361,
+ 101581.90550345098,
+ 101605.70981061876,
+ 101629.5155120936,
+ 101653.32260771218,
+ 101677.13109731126,
+ 101700.9409807276,
+ 101724.75225779804,
+ 101748.56492835947,
+ 101772.37899224881,
+ 101796.19444930303,
+ 101820.01129935916,
+ 101843.82954225427,
+ 101867.64917782549,
+ 101891.47020590997,
+ 101915.29262634492,
+ 101939.11643896763,
+ 101962.94164361537,
+ 101986.76824012553,
+ 102010.59622833549,
+ 102034.42560808272,
+ 102058.25637920471,
+ 102082.08854153901,
+ 102105.9220949232,
+ 102129.75703919494,
+ 102153.59337419191,
+ 102177.43109975185,
+ 102201.27021571253,
+ 102225.1107219118,
+ 102248.95261818753,
+ 102272.79590437764,
+ 102296.64058032009,
+ 102320.48664585294,
+ 102344.33410081422,
+ 102368.18294504205,
+ 102392.03317837461,
+ 102415.88480065008,
+ 102439.73781170673,
+ 102463.59221138287,
+ 102487.44799951684,
+ 102511.30517594704,
+ 102535.1637405119,
+ 102559.02369304992,
+ 102582.88503339965,
+ 102606.74776139967,
+ 102630.61187688859,
+ 102654.4773797051,
+ 102678.34426968795,
+ 102702.21254667587,
+ 102726.08221050771,
+ 102749.95326102231,
+ 102773.8256980586,
+ 102797.69952145554,
+ 102821.57473105213,
+ 102845.45132668741,
+ 102869.32930820051,
+ 102893.20867543056,
+ 102917.08942821674,
+ 102940.97156639832,
+ 102964.85508981455,
+ 102988.73999830478,
+ 103012.6262917084,
+ 103036.51396986481,
+ 103060.40303261351,
+ 103084.293479794,
+ 103108.18531124585,
+ 103132.07852680866,
+ 103155.97312632212,
+ 103179.8691096259,
+ 103203.76647655977,
+ 103227.66522696352,
+ 103251.56536067701,
+ 103275.46687754011,
+ 103299.36977739276,
+ 103323.27406007495,
+ 103347.1797254267,
+ 103371.0867732881,
+ 103394.99520349925,
+ 103418.90501590034,
+ 103442.81621033157,
+ 103466.72878663319,
+ 103490.64274464553,
+ 103514.55808420894,
+ 103538.4748051638,
+ 103562.39290735057,
+ 103586.31239060973,
+ 103610.23325478184,
+ 103634.15549970744,
+ 103658.07912522719,
+ 103682.00413118176,
+ 103705.93051741188,
+ 103729.85828375829,
+ 103753.78743006183,
+ 103777.71795616332,
+ 103801.64986190372,
+ 103825.58314712394,
+ 103849.51781166498,
+ 103873.4538553679,
+ 103897.39127807376,
+ 103921.33007962372,
+ 103945.27025985894,
+ 103969.21181862066,
+ 103993.15475575015,
+ 104017.0990710887,
+ 104041.0447644777,
+ 104064.99183575854,
+ 104088.94028477269,
+ 104112.89011136163,
+ 104136.84131536692,
+ 104160.79389663014,
+ 104184.74785499295,
+ 104208.70319029699,
+ 104232.65990238401,
+ 104256.61799109577,
+ 104280.57745627411,
+ 104304.53829776087,
+ 104328.50051539797,
+ 104352.46410902737,
+ 104376.42907849104,
+ 104400.39542363105,
+ 104424.36314428948,
+ 104448.33224030846,
+ 104472.3027115302,
+ 104496.27455779689,
+ 104520.24777895081,
+ 104544.22237483428,
+ 104568.19834528965,
+ 104592.17569015936,
+ 104616.15440928582,
+ 104640.13450251156,
+ 104664.1159696791,
+ 104688.09881063103,
+ 104712.08302520998,
+ 104736.06861325864,
+ 104760.05557461972,
+ 104784.043909136,
+ 104808.03361665027,
+ 104832.0246970054,
+ 104856.01715004431,
+ 104880.01097560991,
+ 104904.00617354522,
+ 104928.00274369326,
+ 104952.00068589712,
+ 104975.99999999993,
+ 105000.00068584486,
+ 105024.00274327511,
+ 105048.00617213396,
+ 105072.0109722647,
+ 105096.0171435107,
+ 105120.02468571534,
+ 105144.03359872208,
+ 105168.04388237436,
+ 105192.05553651576,
+ 105216.06856098982,
+ 105240.08295564017,
+ 105264.09872031047,
+ 105288.11585484444,
+ 105312.13435908582,
+ 105336.1542328784,
+ 105360.17547606604,
+ 105384.19808849262,
+ 105408.22207000206,
+ 105432.24742043833,
+ 105456.27413964548,
+ 105480.30222746753,
+ 105504.33168374863,
+ 105528.36250833291,
+ 105552.39470106458,
+ 105576.42826178786,
+ 105600.46319034706,
+ 105624.49948658649,
+ 105648.53715035053,
+ 105672.5761814836,
+ 105696.61657983017,
+ 105720.65834523473,
+ 105744.70147754184,
+ 105768.7459765961,
+ 105792.79184224214,
+ 105816.83907432464,
+ 105840.88767268835,
+ 105864.93763717801,
+ 105888.98896763846,
+ 105913.04166391456,
+ 105937.09572585119,
+ 105961.15115329332,
+ 105985.20794608595,
+ 106009.26610407409,
+ 106033.32562710284,
+ 106057.38651501729,
+ 106081.44876766266,
+ 106105.51238488412,
+ 106129.57736652695,
+ 106153.64371243643,
+ 106177.71142245791,
+ 106201.78049643678,
+ 106225.85093421848,
+ 106249.92273564848,
+ 106273.99590057228,
+ 106298.07042883546,
+ 106322.14632028362,
+ 106346.22357476239,
+ 106370.30219211751,
+ 106394.38217219469,
+ 106418.46351483969,
+ 106442.54621989837,
+ 106466.63028721658,
+ 106490.71571664025,
+ 106514.80250801529,
+ 106538.89066118775,
+ 106562.98017600364,
+ 106587.07105230905,
+ 106611.16328995011,
+ 106635.25688877302,
+ 106659.35184862395,
+ 106683.44816934918,
+ 106707.54585079502,
+ 106731.64489280782,
+ 106755.74529523395,
+ 106779.84705791986,
+ 106803.95018071201,
+ 106828.05466345693,
+ 106852.16050600118,
+ 106876.26770819137,
+ 106900.37626987413,
+ 106924.48619089619,
+ 106948.59747110425,
+ 106972.71011034511,
+ 106996.82410846559,
+ 107020.93946531253,
+ 107045.05618073288,
+ 107069.17425457356,
+ 107093.29368668159,
+ 107117.41447690397,
+ 107141.53662508781,
+ 107165.66013108024,
+ 107189.7849947284,
+ 107213.91121587952,
+ 107238.03879438085,
+ 107262.16773007967,
+ 107286.29802282334,
+ 107310.42967245923,
+ 107334.56267883476,
+ 107358.69704179741,
+ 107382.83276119467,
+ 107406.96983687414,
+ 107431.10826868335,
+ 107455.24805646999,
+ 107479.38920008171,
+ 107503.53169936626,
+ 107527.67555417139,
+ 107551.82076434491,
+ 107575.96732973469,
+ 107600.11525018861,
+ 107624.26452555459,
+ 107648.41515568066,
+ 107672.56714041479,
+ 107696.72047960508,
+ 107720.87517309963,
+ 107745.03122074658,
+ 107769.18862239413,
+ 107793.34737789053,
+ 107817.50748708403,
+ 107841.66894982298,
+ 107865.83176595572,
+ 107889.99593533068,
+ 107914.16145779629,
+ 107938.32833320105,
+ 107962.49656139348,
+ 107986.66614222217,
+ 108010.83707553572,
+ 108035.00936118282,
+ 108059.18299901215,
+ 108083.35798887245,
+ 108107.53433061253,
+ 108131.71202408121,
+ 108155.89106912735,
+ 108180.07146559987,
+ 108204.25321334775,
+ 108228.43631221994,
+ 108252.62076206553,
+ 108276.80656273357,
+ 108300.99371407321,
+ 108325.18221593359,
+ 108349.37206816394,
+ 108373.56327061349,
+ 108397.75582313156,
+ 108421.94972556747,
+ 108446.1449777706,
+ 108470.34157959036,
+ 108494.53953087622,
+ 108518.73883147769,
+ 108542.93948124432,
+ 108567.14148002568,
+ 108591.34482767139,
+ 108615.54952403114,
+ 108639.75556895464,
+ 108663.96296229165,
+ 108688.17170389196,
+ 108712.38179360541,
+ 108736.59323128188,
+ 108760.80601677128,
+ 108785.02014992358,
+ 108809.23563058881,
+ 108833.45245861699,
+ 108857.67063385822,
+ 108881.89015616261,
+ 108906.11102538036,
+ 108930.33324136167,
+ 108954.55680395682,
+ 108978.78171301607,
+ 109003.00796838976,
+ 109027.23556992831,
+ 109051.46451748211,
+ 109075.69481090162,
+ 109099.92645003737,
+ 109124.15943473989,
+ 109148.39376485976,
+ 109172.62944024763,
+ 109196.86646075416,
+ 109221.10482623006,
+ 109245.34453652608,
+ 109269.58559149304,
+ 109293.82799098175,
+ 109318.07173484311,
+ 109342.31682292801,
+ 109366.56325508743,
+ 109390.81103117237,
+ 109415.06015103387,
+ 109439.31061452301,
+ 109463.56242149093,
+ 109487.8155717888,
+ 109512.07006526781,
+ 109536.3259017792,
+ 109560.58308117429,
+ 109584.8416033044,
+ 109609.1014680209,
+ 109633.36267517522,
+ 109657.62522461878,
+ 109681.88911620311,
+ 109706.15434977971,
+ 109730.4209252002,
+ 109754.68884231619,
+ 109778.95810097932,
+ 109803.22870104131,
+ 109827.50064235389,
+ 109851.77392476884,
+ 109876.04854813802,
+ 109900.32451231324,
+ 109924.60181714644,
+ 109948.88046248957,
+ 109973.1604481946,
+ 109997.44177411357,
+ 110021.72444009855,
+ 110046.00844600165,
+ 110070.29379167501,
+ 110094.58047697082,
+ 110118.86850174134,
+ 110143.15786583882,
+ 110167.44856911557,
+ 110191.74061142397,
+ 110216.03399261639,
+ 110240.32871254528,
+ 110264.62477106311,
+ 110288.9221680224,
+ 110313.22090327571,
+ 110337.52097667565,
+ 110361.82238807483,
+ 110386.12513732594,
+ 110410.42922428172,
+ 110434.73464879491,
+ 110459.04141071832,
+ 110483.34950990479,
+ 110507.6589462072,
+ 110531.96971947847,
+ 110556.28182957157,
+ 110580.5952763395,
+ 110604.91005963532,
+ 110629.22617931209,
+ 110653.54363522294,
+ 110677.86242722106,
+ 110702.18255515963,
+ 110726.50401889188,
+ 110750.82681827113,
+ 110775.1509531507,
+ 110799.47642338395,
+ 110823.80322882428,
+ 110848.13136932514,
+ 110872.46084474004,
+ 110896.79165492248,
+ 110921.12379972603,
+ 110945.4572790043,
+ 110969.79209261097,
+ 110994.12824039967,
+ 111018.46572222417,
+ 111042.80453793822,
+ 111067.14468739564,
+ 111091.48617045028,
+ 111115.82898695602,
+ 111140.1731367668,
+ 111164.51861973655,
+ 111188.86543571933,
+ 111213.21358456917,
+ 111237.56306614014,
+ 111261.91388028639,
+ 111286.26602686207,
+ 111310.61950572141,
+ 111334.97431671864,
+ 111359.33045970804,
+ 111383.68793454397,
+ 111408.04674108078,
+ 111432.40687917286,
+ 111456.76834867468,
+ 111481.13114944073,
+ 111505.49528132551,
+ 111529.86074418361,
+ 111554.22753786964,
+ 111578.59566223821,
+ 111602.96511714405,
+ 111627.33590244185,
+ 111651.7080179864,
+ 111676.08146363248,
+ 111700.45623923496,
+ 111724.8323446487,
+ 111749.20977972864,
+ 111773.58854432974,
+ 111797.96863830699,
+ 111822.35006151545,
+ 111846.73281381019,
+ 111871.11689504632,
+ 111895.50230507903,
+ 111919.8890437635,
+ 111944.27711095495,
+ 111968.6665065087,
+ 111993.05723028004,
+ 112017.44928212435,
+ 112041.842661897,
+ 112066.23736945343,
+ 112090.63340464912,
+ 112115.03076733962,
+ 112139.42945738042,
+ 112163.82947462716,
+ 112188.23081893545,
+ 112212.63349016097,
+ 112237.03748815943,
+ 112261.44281278658,
+ 112285.84946389822,
+ 112310.25744135017,
+ 112334.66674499828,
+ 112359.07737469849,
+ 112383.48933030672,
+ 112407.90261167898,
+ 112432.31721867126,
+ 112456.73315113965,
+ 112481.15040894024,
+ 112505.56899192919,
+ 112529.98889996267,
+ 112554.41013289688,
+ 112578.8326905881,
+ 112603.25657289263,
+ 112627.68177966679,
+ 112652.10831076698,
+ 112676.53616604958,
+ 112700.96534537108,
+ 112725.39584858794,
+ 112749.82767555672,
+ 112774.26082613398,
+ 112798.6953001763,
+ 112823.13109754038,
+ 112847.56821808286,
+ 112872.00666166049,
+ 112896.44642813003,
+ 112920.88751734827,
+ 112945.32992917208,
+ 112969.77366345831,
+ 112994.21872006389,
+ 113018.66509884578,
+ 113043.11279966099,
+ 113067.56182236652,
+ 113092.01216681948,
+ 113116.46383287695,
+ 113140.9168203961,
+ 113165.37112923413,
+ 113189.82675924824,
+ 113214.28371029573,
+ 113238.74198223387,
+ 113263.20157492002,
+ 113287.66248821157,
+ 113312.12472196593,
+ 113336.58827604055,
+ 113361.05315029295,
+ 113385.51934458067,
+ 113409.98685876124,
+ 113434.45569269233,
+ 113458.92584623155,
+ 113483.39731923661,
+ 113507.87011156522,
+ 113532.34422307517,
+ 113556.81965362425,
+ 113581.2964030703,
+ 113605.77447127122,
+ 113630.25385808491,
+ 113654.73456336933,
+ 113679.2165869825,
+ 113703.69992878241,
+ 113728.18458862718,
+ 113752.67056637487,
+ 113777.15786188368,
+ 113801.64647501177,
+ 113826.13640561736,
+ 113850.62765355874,
+ 113875.12021869418,
+ 113899.61410088204,
+ 113924.1092999807,
+ 113948.60581584855,
+ 113973.10364834407,
+ 113997.60279732574,
+ 114022.1032626521,
+ 114046.60504418171,
+ 114071.10814177318,
+ 114095.61255528514,
+ 114120.11828457628,
+ 114144.62532950533,
+ 114169.13368993104,
+ 114193.6433657122,
+ 114218.15435670764,
+ 114242.66666277625,
+ 114267.18028377694,
+ 114291.69521956862,
+ 114316.21147001031,
+ 114340.72903496103,
+ 114365.24791427983,
+ 114389.7681078258,
+ 114414.2896154581,
+ 114438.81243703589,
+ 114463.33657241837,
+ 114487.8620214648,
+ 114512.38878403447,
+ 114536.91685998671,
+ 114561.44624918087,
+ 114585.97695147636,
+ 114610.5089667326,
+ 114635.04229480909,
+ 114659.57693556532,
+ 114684.11288886084,
+ 114708.65015455526,
+ 114733.18873250818,
+ 114757.72862257928,
+ 114782.26982462825,
+ 114806.81233851484,
+ 114831.35616409882,
+ 114855.90130123998,
+ 114880.44774979822,
+ 114904.99550963337,
+ 114929.5445806054,
+ 114954.09496257425,
+ 114978.64665539992,
+ 115003.19965894247,
+ 115027.75397306195,
+ 115052.30959761847,
+ 115076.86653247218,
+ 115101.42477748329,
+ 115125.984332512,
+ 115150.54519741859,
+ 115175.10737206334,
+ 115199.67085630659,
+ 115224.23565000873,
+ 115248.80175303014,
+ 115273.3691652313,
+ 115297.93788647266,
+ 115322.50791661476,
+ 115347.07925551817,
+ 115371.65190304347,
+ 115396.22585905129,
+ 115420.80112340231,
+ 115445.37769595724,
+ 115469.95557657682,
+ 115494.53476512182,
+ 115519.11526145306,
+ 115543.69706543141,
+ 115568.28017691776,
+ 115592.86459577303,
+ 115617.4503218582,
+ 115642.03735503425,
+ 115666.62569516223,
+ 115691.21534210323,
+ 115715.80629571836,
+ 115740.39855586876,
+ 115764.99212241563,
+ 115789.58699522018,
+ 115814.18317414368,
+ 115838.78065904744,
+ 115863.37944979276,
+ 115887.97954624105,
+ 115912.5809482537,
+ 115937.18365569216,
+ 115961.78766841792,
+ 115986.39298629249,
+ 116010.99960917742,
+ 116035.60753693432,
+ 116060.21676942479,
+ 116084.82730651053,
+ 116109.43914805322,
+ 116134.0522939146,
+ 116158.66674395646,
+ 116183.2824980406,
+ 116207.89955602887,
+ 116232.51791778316,
+ 116257.13758316539,
+ 116281.75855203751,
+ 116306.38082426153,
+ 116331.00439969949,
+ 116355.62927821343,
+ 116380.25545966547,
+ 116404.88294391775,
+ 116429.51173083246,
+ 116454.14182027178,
+ 116478.77321209799,
+ 116503.40590617337,
+ 116528.03990236025,
+ 116552.67520052097,
+ 116577.31180051794,
+ 116601.94970221359,
+ 116626.5889054704,
+ 116651.22941015086,
+ 116675.87121611751,
+ 116700.51432323294,
+ 116725.15873135976,
+ 116749.8044403606,
+ 116774.45145009817,
+ 116799.0997604352,
+ 116823.74937123443,
+ 116848.40028235866,
+ 116873.05249367072,
+ 116897.70600503348,
+ 116922.36081630984,
+ 116947.01692736275,
+ 116971.67433805518,
+ 116996.33304825013,
+ 117020.99305781067,
+ 117045.65436659988,
+ 117070.31697448085,
+ 117094.98088131678,
+ 117119.64608697082,
+ 117144.31259130624,
+ 117168.98039418629,
+ 117193.64949547425,
+ 117218.31989503348,
+ 117242.99159272734,
+ 117267.66458841923,
+ 117292.33888197262,
+ 117317.01447325097,
+ 117341.6913621178,
+ 117366.36954843666,
+ 117391.04903207115,
+ 117415.72981288488,
+ 117440.41189074152,
+ 117465.09526550474,
+ 117489.77993703831,
+ 117514.46590520597,
+ 117539.15316987153,
+ 117563.84173089883,
+ 117588.53158815173,
+ 117613.22274149416,
+ 117637.91519079007,
+ 117662.60893590341,
+ 117687.30397669821,
+ 117712.00031303853,
+ 117736.69794478847,
+ 117761.39687181212,
+ 117786.09709397367,
+ 117810.7986111373,
+ 117835.50142316725,
+ 117860.20552992777,
+ 117884.91093128319,
+ 117909.6176270978,
+ 117934.32561723603,
+ 117959.03490156225,
+ 117983.74547994092,
+ 118008.45735223651,
+ 118033.17051831353,
+ 118057.88497803656,
+ 118082.60073127014,
+ 118107.31777787894,
+ 118132.03611772758,
+ 118156.75575068076,
+ 118181.47667660323,
+ 118206.19889535972,
+ 118230.92240681504,
+ 118255.64721083404,
+ 118280.37330728157,
+ 118305.10069602253,
+ 118329.82937692189,
+ 118354.55934984458,
+ 118379.29061465565,
+ 118404.02317122012,
+ 118428.75701940308,
+ 118453.49215906965,
+ 118478.22859008498,
+ 118502.96631231424,
+ 118527.70532562268,
+ 118552.44562987552,
+ 118577.18722493808,
+ 118601.93011067568,
+ 118626.67428695368,
+ 118651.41975363747,
+ 118676.16651059251,
+ 118700.91455768423,
+ 118725.66389477813,
+ 118750.41452173979,
+ 118775.16643843475,
+ 118799.91964472862,
+ 118824.67414048707,
+ 118849.42992557574,
+ 118874.18699986035,
+ 118898.94536320666,
+ 118923.70501548045,
+ 118948.46595654752,
+ 118973.22818627374,
+ 118997.99170452499,
+ 119022.7565111672,
+ 119047.52260606633,
+ 119072.28998908834,
+ 119097.0586600993,
+ 119121.82861896523,
+ 119146.59986555226,
+ 119171.3723997265,
+ 119196.14622135412,
+ 119220.92133030134,
+ 119245.69772643436,
+ 119270.47540961947,
+ 119295.25437972297,
+ 119320.03463661121,
+ 119344.81618015055,
+ 119369.5990102074,
+ 119394.38312664822,
+ 119419.16852933947,
+ 119443.95521814766,
+ 119468.74319293935,
+ 119493.53245358112,
+ 119518.32299993958,
+ 119543.11483188139,
+ 119567.90794927324,
+ 119592.70235198183,
+ 119617.49803987393,
+ 119642.29501281632,
+ 119667.09327067583,
+ 119691.89281331931,
+ 119716.69364061367,
+ 119741.49575242582,
+ 119766.29914862274,
+ 119791.10382907141,
+ 119815.90979363887,
+ 119840.71704219218,
+ 119865.52557459843,
+ 119890.33539072477,
+ 119915.14649043836,
+ 119939.95887360642,
+ 119964.77254009615,
+ 119989.58748977486,
+ 120014.40372250983,
+ 120039.22123816841,
+ 120064.04003661797,
+ 120088.86011772591,
+ 120113.6814813597,
+ 120138.5041273868,
+ 120163.3280556747,
+ 120188.15326609099,
+ 120212.97975850321,
+ 120237.807532779,
+ 120262.63658878599,
+ 120287.46692639188,
+ 120312.29854546436,
+ 120337.13144587121,
+ 120361.9656274802,
+ 120386.80109015915,
+ 120411.63783377589,
+ 120436.47585819835,
+ 120461.31516329442,
+ 120486.15574893207,
+ 120510.99761497928,
+ 120535.84076130406,
+ 120560.68518777451,
+ 120585.53089425867,
+ 120610.3778806247,
+ 120635.22614674074,
+ 120660.07569247499,
+ 120684.92651769568,
+ 120709.77862227106,
+ 120734.63200606944,
+ 120759.48666895913,
+ 120784.3426108085,
+ 120809.19983148595,
+ 120834.05833085992,
+ 120858.91810879884,
+ 120883.77916517125,
+ 120908.64149984565,
+ 120933.5051126906,
+ 120958.37000357473,
+ 120983.23617236665,
+ 121008.10361893504,
+ 121032.97234314861,
+ 121057.84234487606,
+ 121082.71362398617,
+ 121107.58618034775,
+ 121132.46001382964,
+ 121157.33512430069,
+ 121182.21151162982,
+ 121207.08917568595,
+ 121231.96811633807,
+ 121256.84833345517,
+ 121281.72982690629,
+ 121306.61259656049,
+ 121331.49664228689,
+ 121356.38196395461,
+ 121381.26856143285,
+ 121406.15643459078,
+ 121431.04558329767,
+ 121455.93600742276,
+ 121480.82770683538,
+ 121505.72068140487,
+ 121530.61493100057,
+ 121555.51045549192,
+ 121580.40725474835,
+ 121605.30532863933,
+ 121630.20467703436,
+ 121655.10529980299,
+ 121680.00719681478,
+ 121704.91036793934,
+ 121729.81481304632,
+ 121754.72053200539,
+ 121779.62752468624,
+ 121804.53579095862,
+ 121829.44533069231,
+ 121854.3561437571,
+ 121879.26823002285,
+ 121904.1815893594,
+ 121929.09622163669,
+ 121954.01212672464,
+ 121978.92930449323,
+ 122003.84775481246,
+ 122028.76747755238,
+ 122053.68847258303,
+ 122078.61073977455,
+ 122103.53427899707,
+ 122128.45909012076,
+ 122153.38517301581,
+ 122178.31252755247,
+ 122203.24115360099,
+ 122228.17105103172,
+ 122253.10221971494,
+ 122278.03465952107,
+ 122302.96837032049,
+ 122327.90335198362,
+ 122352.83960438096,
+ 122377.777127383,
+ 122402.71592086025,
+ 122427.65598468333,
+ 122452.59731872278,
+ 122477.53992284928,
+ 122502.48379693348,
+ 122527.42894084606,
+ 122552.37535445779,
+ 122577.32303763942,
+ 122602.27199026172,
+ 122627.22221219557,
+ 122652.17370331181,
+ 122677.12646348133,
+ 122702.08049257506,
+ 122727.03579046397,
+ 122751.99235701906,
+ 122776.95019211136,
+ 122801.9092956119,
+ 122826.8696673918,
+ 122851.83130732219,
+ 122876.79421527422,
+ 122901.75839111909,
+ 122926.72383472799,
+ 122951.69054597223,
+ 122976.65852472307,
+ 123001.62777085182,
+ 123026.59828422987,
+ 123051.57006472857,
+ 123076.54311221937,
+ 123101.5174265737,
+ 123126.49300766307,
+ 123151.46985535898,
+ 123176.44796953299,
+ 123201.42735005668,
+ 123226.40799680166,
+ 123251.38990963959,
+ 123276.37308844214,
+ 123301.35753308103,
+ 123326.343243428,
+ 123351.33021935483,
+ 123376.31846073334,
+ 123401.30796743535,
+ 123426.29873933276,
+ 123451.29077629748,
+ 123476.28407820144,
+ 123501.2786449166,
+ 123526.27447631498,
+ 123551.27157226863,
+ 123576.26993264959,
+ 123601.26955732999,
+ 123626.27044618195,
+ 123651.27259907764,
+ 123676.27601588926,
+ 123701.28069648903,
+ 123726.28664074924,
+ 123751.29384854218,
+ 123776.30231974016,
+ 123801.31205421555,
+ 123826.32305184075,
+ 123851.33531248817,
+ 123876.34883603029,
+ 123901.36362233957,
+ 123926.37967128855,
+ 123951.39698274979,
+ 123976.41555659588,
+ 124001.43539269941,
+ 124026.45649093305,
+ 124051.47885116948,
+ 124076.50247328142,
+ 124101.5273571416,
+ 124126.55350262282,
+ 124151.58090959788,
+ 124176.60957793961,
+ 124201.63950752091,
+ 124226.67069821467,
+ 124251.70314989384,
+ 124276.73686243138,
+ 124301.7718357003,
+ 124326.80806957364,
+ 124351.84556392446,
+ 124376.88431862585,
+ 124401.92433355095,
+ 124426.96560857294,
+ 124452.00814356498,
+ 124477.05193840031,
+ 124502.0969929522,
+ 124527.14330709392,
+ 124552.19088069882,
+ 124577.23971364023,
+ 124602.28980579154,
+ 124627.34115702618,
+ 124652.3937672176,
+ 124677.44763623926,
+ 124702.50276396469,
+ 124727.55915026742,
+ 124752.61679502104,
+ 124777.67569809916,
+ 124802.73585937542,
+ 124827.79727872348,
+ 124852.85995601704,
+ 124877.92389112986,
+ 124902.98908393568,
+ 124928.05553430831,
+ 124953.1232421216,
+ 124978.19220724938,
+ 125003.26242956554,
+ 125028.33390894404,
+ 125053.40664525882,
+ 125078.48063838384,
+ 125103.55588819318,
+ 125128.63239456083,
+ 125153.71015736091,
+ 125178.78917646752,
+ 125203.86945175481,
+ 125228.95098309696,
+ 125254.03377036817,
+ 125279.1178134427,
+ 125304.20311219479,
+ 125329.28966649878,
+ 125354.37747622898,
+ 125379.46654125977,
+ 125404.55686146552,
+ 125429.6484367207,
+ 125454.74126689974,
+ 125479.83535187715,
+ 125504.93069152744,
+ 125530.02728572517,
+ 125555.12513434493,
+ 125580.22423726133,
+ 125605.32459434902,
+ 125630.4262054827,
+ 125655.52907053704,
+ 125680.63318938682,
+ 125705.73856190679,
+ 125730.84518797178,
+ 125755.9530674566,
+ 125781.06220023613,
+ 125806.17258618528,
+ 125831.28422517896,
+ 125856.39711709213,
+ 125881.51126179981,
+ 125906.62665917698,
+ 125931.74330909875,
+ 125956.86121144016,
+ 125981.98036607634,
+ 126007.10077288245,
+ 126032.22243173365,
+ 126057.34534250517,
+ 126082.46950507225,
+ 126107.59491931014,
+ 126132.72158509417,
+ 126157.84950229966,
+ 126182.97867080198,
+ 126208.10909047653,
+ 126233.24076119871,
+ 126258.37368284403,
+ 126283.50785528794,
+ 126308.64327840599,
+ 126333.77995207369,
+ 126358.91787616667,
+ 126384.0570505605,
+ 126409.19747513086,
+ 126434.3391497534,
+ 126459.48207430386,
+ 126484.62624865794,
+ 126509.77167269142,
+ 126534.9183462801,
+ 126560.06626929982,
+ 126585.21544162642,
+ 126610.36586313581,
+ 126635.51753370393,
+ 126660.67045320668,
+ 126685.82462152008,
+ 126710.98003852014,
+ 126736.13670408291,
+ 126761.29461808444,
+ 126786.45378040087,
+ 126811.61419090834,
+ 126836.77584948298,
+ 126861.93875600102,
+ 126887.10291033868,
+ 126912.26831237224,
+ 126937.43496197795,
+ 126962.60285903217,
+ 126987.77200341123,
+ 127012.94239499152,
+ 127038.11403364947,
+ 127063.2869192615,
+ 127088.46105170409,
+ 127113.63643085376,
+ 127138.81305658702,
+ 127163.99092878048,
+ 127189.17004731069,
+ 127214.35041205429,
+ 127239.53202288797,
+ 127264.71487968838,
+ 127289.89898233226,
+ 127315.08433069635,
+ 127340.27092465744,
+ 127365.45876409234,
+ 127390.64784887788,
+ 127415.83817889093,
+ 127441.02975400841,
+ 127466.22257410725,
+ 127491.41663906439,
+ 127516.61194875685,
+ 127541.80850306165,
+ 127567.00630185583,
+ 127592.20534501647,
+ 127617.4056324207,
+ 127642.60716394568,
+ 127667.80993946856,
+ 127693.01395886653,
+ 127718.21922201688,
+ 127743.42572879682,
+ 127768.63347908368,
+ 127793.84247275478,
+ 127819.05270968749,
+ 127844.26418975917,
+ 127869.47691284724,
+ 127894.69087882918,
+ 127919.90608758242,
+ 127945.12253898452,
+ 127970.34023291297,
+ 127995.55916924537,
+ 128020.77934785932,
+ 128046.00076863244,
+ 128071.22343144237,
+ 128096.44733616684,
+ 128121.67248268353,
+ 128146.89887087021,
+ 128172.12650060465,
+ 128197.35537176467,
+ 128222.5854842281,
+ 128247.81683787282,
+ 128273.04943257671,
+ 128298.28326821771,
+ 128323.51834467379,
+ 128348.75466182294,
+ 128373.99221954317,
+ 128399.23101771252,
+ 128424.47105620909,
+ 128449.71233491098,
+ 128474.95485369631,
+ 128500.19861244329,
+ 128525.44361103009,
+ 128550.68984933494,
+ 128575.93732723613,
+ 128601.18604461191,
+ 128626.43600134061,
+ 128651.68719730059,
+ 128676.93963237021,
+ 128702.1933064279,
+ 128727.44821935208,
+ 128752.70437102125,
+ 128777.96176131385,
+ 128803.22039010846,
+ 128828.48025728362,
+ 128853.74136271792,
+ 128879.00370628996,
+ 128904.26728787841,
+ 128929.53210736193,
+ 128954.79816461923,
+ 128980.06545952905,
+ 129005.33399197015,
+ 129030.60376182134,
+ 129055.87476896142,
+ 129081.14701326926,
+ 129106.42049462376,
+ 129131.6952129038,
+ 129156.97116798835,
+ 129182.24835975636,
+ 129207.52678808685,
+ 129232.80645285884,
+ 129258.08735395141,
+ 129283.36949124365,
+ 129308.65286461466,
+ 129333.9374739436,
+ 129359.22331910966,
+ 129384.51039999202,
+ 129409.79871646997,
+ 129435.08826842274,
+ 129460.37905572963,
+ 129485.67107826998,
+ 129510.96433592314,
+ 129536.25882856851,
+ 129561.55455608548,
+ 129586.85151835352,
+ 129612.14971525209,
+ 129637.4491466607,
+ 129662.74981245887,
+ 129688.0517125262,
+ 129713.35484674224,
+ 129738.65921498663,
+ 129763.96481713903,
+ 129789.27165307909,
+ 129814.57972268655,
+ 129839.88902584116,
+ 129865.19956242264,
+ 129890.51133231082,
+ 129915.82433538554,
+ 129941.13857152662,
+ 129966.45404061397,
+ 129991.7707425275,
+ 130017.08867714716,
+ 130042.4078443529,
+ 130067.72824402474,
+ 130093.04987604271,
+ 130118.37274028687,
+ 130143.69683663732,
+ 130169.02216497416,
+ 130194.34872517755,
+ 130219.67651712766,
+ 130245.0055407047,
+ 130270.33579578891,
+ 130295.66728226055,
+ 130320.99999999991,
+ 130346.33394888733,
+ 130371.66912880314,
+ 130397.00553962773,
+ 130422.34318124152,
+ 130447.68205352494,
+ 130473.02215635845,
+ 130498.36348962256,
+ 130523.70605319779,
+ 130549.0498469647,
+ 130574.39487080388,
+ 130599.74112459592,
+ 130625.08860822149,
+ 130650.43732156123,
+ 130675.78726449587,
+ 130701.13843690613,
+ 130726.49083867275,
+ 130751.84446967654,
+ 130777.19932979831,
+ 130802.5554189189,
+ 130827.91273691918,
+ 130853.27128368006,
+ 130878.63105908247,
+ 130903.99206300738,
+ 130929.35429533575,
+ 130954.71775594862,
+ 130980.08244472703,
+ 131005.44836155206,
+ 131030.81550630482,
+ 131056.18387886642,
+ 131081.55347911804,
+ 131106.92430694087,
+ 131132.29636221612,
+ 131157.66964482504,
+ 131183.0441546489,
+ 131208.41989156904,
+ 131233.79685546676,
+ 131259.17504622342,
+ 131284.55446372041,
+ 131309.93510783918,
+ 131335.31697846117,
+ 131360.70007546784,
+ 131386.0843987407,
+ 131411.46994816128,
+ 131436.85672361116,
+ 131462.24472497194,
+ 131487.63395212521,
+ 131513.02440495262,
+ 131538.41608333588,
+ 131563.80898715663,
+ 131589.2031162967,
+ 131614.59847063778,
+ 131639.9950500617,
+ 131665.39285445024,
+ 131690.79188368531,
+ 131716.19213764873,
+ 131741.59361622241,
+ 131766.99631928833,
+ 131792.40024672839,
+ 131817.80539842462,
+ 131843.21177425905,
+ 131868.61937411371,
+ 131894.02819787065,
+ 131919.43824541202,
+ 131944.84951661993,
+ 131970.26201137656,
+ 131995.67572956407,
+ 132021.09067106468,
+ 132046.50683576067,
+ 132071.9242235343,
+ 132097.34283426782,
+ 132122.76266784366,
+ 132148.1837241441,
+ 132173.60600305157,
+ 132199.02950444847,
+ 132224.45422821722,
+ 132249.88017424036,
+ 132275.30734240031,
+ 132300.73573257966,
+ 132326.16534466096,
+ 132351.59617852676,
+ 132377.02823405969,
+ 132402.46151114244,
+ 132427.89600965759,
+ 132453.33172948789,
+ 132478.76867051609,
+ 132504.20683262491,
+ 132529.64621569714,
+ 132555.08681961559,
+ 132580.5286442631,
+ 132605.97168952253,
+ 132631.41595527678,
+ 132656.86144140881,
+ 132682.30814780149,
+ 132707.75607433787,
+ 132733.20522090094,
+ 132758.65558737374,
+ 132784.10717363929,
+ 132809.55997958075,
+ 132835.01400508118,
+ 132860.46925002377,
+ 132885.92571429166,
+ 132911.38339776811,
+ 132936.84230033628,
+ 132962.30242187946,
+ 132987.76376228096,
+ 133013.22632142407,
+ 133038.69009919214,
+ 133064.15509546854,
+ 133089.62131013666,
+ 133115.08874307995,
+ 133140.55739418184,
+ 133166.02726332581,
+ 133191.49835039541,
+ 133216.97065527414,
+ 133242.44417784561,
+ 133267.91891799335,
+ 133293.39487560102,
+ 133318.87205055228,
+ 133344.35044273079,
+ 133369.83005202023,
+ 133395.31087830439,
+ 133420.79292146701,
+ 133446.27618139185,
+ 133471.76065796276,
+ 133497.24635106357,
+ 133522.73326057816,
+ 133548.22138639039,
+ 133573.71072838426,
+ 133599.20128644365,
+ 133624.69306045261,
+ 133650.1860502951,
+ 133675.68025585517,
+ 133701.1756770169,
+ 133726.67231366437,
+ 133752.17016568172,
+ 133777.66923295305,
+ 133803.16951536259,
+ 133828.67101279454,
+ 133854.17372513309,
+ 133879.67765226253,
+ 133905.18279406714,
+ 133930.68915043125,
+ 133956.19672123916,
+ 133981.70550637526,
+ 134007.21550572399,
+ 134032.7267191697,
+ 134058.23914659687,
+ 134083.75278789,
+ 134109.26764293358,
+ 134134.78371161217,
+ 134160.30099381026,
+ 134185.8194894125,
+ 134211.33919830353,
+ 134236.8601203679,
+ 134262.38225549037,
+ 134287.90560355558,
+ 134313.43016444831,
+ 134338.95593805326,
+ 134364.48292425525,
+ 134390.01112293909,
+ 134415.54053398955,
+ 134441.07115729159,
+ 134466.60299273001,
+ 134492.1360401898,
+ 134517.67029955584,
+ 134543.20577071316,
+ 134568.74245354676,
+ 134594.28034794159,
+ 134619.81945378278,
+ 134645.35977095537,
+ 134670.90129934452,
+ 134696.4440388353,
+ 134721.98798931291,
+ 134747.53315066252,
+ 134773.07952276937,
+ 134798.62710551871,
+ 134824.17589879577,
+ 134849.72590248589,
+ 134875.27711647438,
+ 134900.82954064661,
+ 134926.38317488792,
+ 134951.93801908373,
+ 134977.49407311951,
+ 135003.05133688069,
+ 135028.60981025276,
+ 135054.16949312127,
+ 135079.73038537172,
+ 135105.29248688967,
+ 135130.85579756077,
+ 135156.42031727062,
+ 135181.98604590484,
+ 135207.55298334916,
+ 135233.12112948924,
+ 135258.69048421088,
+ 135284.26104739975,
+ 135309.83281894168,
+ 135335.4057987225,
+ 135360.97998662802,
+ 135386.55538254412,
+ 135412.13198635669,
+ 135437.70979795168,
+ 135463.28881721498,
+ 135488.86904403262,
+ 135514.45047829056,
+ 135540.03311987486,
+ 135565.61696867159,
+ 135591.20202456677,
+ 135616.78828744654,
+ 135642.37575719706,
+ 135667.96443370447,
+ 135693.55431685498,
+ 135719.14540653475,
+ 135744.73770263011,
+ 135770.33120502727,
+ 135795.92591361253,
+ 135821.52182827223,
+ 135847.11894889272,
+ 135872.7172753604,
+ 135898.31680756161,
+ 135923.91754538284,
+ 135949.51948871053,
+ 135975.12263743114,
+ 136000.72699143123,
+ 136026.33255059729,
+ 136051.93931481591,
+ 136077.54728397369,
+ 136103.15645795723,
+ 136128.76683665317,
+ 136154.37841994822,
+ 136179.99120772901,
+ 136205.60519988232,
+ 136231.2203962949,
+ 136256.83679685349,
+ 136282.45440144493,
+ 136308.07320995603,
+ 136333.69322227367,
+ 136359.31443828469,
+ 136384.93685787608,
+ 136410.56048093468,
+ 136436.18530734754,
+ 136461.81133700156,
+ 136487.43856978384,
+ 136513.06700558143,
+ 136538.6966442813,
+ 136564.32748577066,
+ 136589.95952993655,
+ 136615.59277666616,
+ 136641.22722584667,
+ 136666.86287736523,
+ 136692.49973110916,
+ 136718.13778696564,
+ 136743.77704482197,
+ 136769.41750456547,
+ 136795.05916608346,
+ 136820.70202926331,
+ 136846.34609399244,
+ 136871.99136015819,
+ 136897.63782764805,
+ 136923.28549634948,
+ 136948.93436614997,
+ 136974.58443693706,
+ 137000.23570859825,
+ 137025.88818102115,
+ 137051.54185409332,
+ 137077.19672770242,
+ 137102.85280173609,
+ 137128.51007608202,
+ 137154.16855062786,
+ 137179.82822526142,
+ 137205.48909987041,
+ 137231.15117434258,
+ 137256.8144485658,
+ 137282.47892242789,
+ 137308.14459581667,
+ 137333.81146862009,
+ 137359.47954072602,
+ 137385.14881202241,
+ 137410.81928239719,
+ 137436.49095173844,
+ 137462.16381993407,
+ 137487.83788687221,
+ 137513.51315244089,
+ 137539.18961652822,
+ 137564.86727902229,
+ 137590.54613981131,
+ 137616.22619878338,
+ 137641.90745582676,
+ 137667.58991082967,
+ 137693.27356368033,
+ 137718.95841426702,
+ 137744.64446247809,
+ 137770.33170820182,
+ 137796.02015132661,
+ 137821.70979174081,
+ 137847.40062933284,
+ 137873.09266399115,
+ 137898.78589560417,
+ 137924.48032406042,
+ 137950.17594924837,
+ 137975.8727710566,
+ 138001.57078937365,
+ 138027.27000408815,
+ 138052.97041508864,
+ 138078.67202226384,
+ 138104.3748255024,
+ 138130.07882469296,
+ 138155.78401972432,
+ 138181.49041048516,
+ 138207.1979968643,
+ 138232.9067787505,
+ 138258.61675603263,
+ 138284.32792859949,
+ 138310.04029633995,
+ 138335.75385914298,
+ 138361.46861689744,
+ 138387.18456949232,
+ 138412.90171681659,
+ 138438.62005875923,
+ 138464.33959520931,
+ 138490.06032605586,
+ 138515.78225118798,
+ 138541.50537049473,
+ 138567.2296838653,
+ 138592.95519118884,
+ 138618.68189235451,
+ 138644.40978725153,
+ 138670.13887576913,
+ 138695.86915779658,
+ 138721.60063322316,
+ 138747.33330193823,
+ 138773.06716383106,
+ 138798.80221879104,
+ 138824.53846670757,
+ 138850.27590747006,
+ 138876.01454096794,
+ 138901.7543670907,
+ 138927.49538572782,
+ 138953.2375967688,
+ 138978.9810001032,
+ 139004.72559562061,
+ 139030.47138321059,
+ 139056.2183627628,
+ 139081.96653416683,
+ 139107.71589731239,
+ 139133.46645208917,
+ 139159.21819838689,
+ 139184.97113609532,
+ 139210.72526510421,
+ 139236.48058530336,
+ 139262.23709658257,
+ 139287.99479883176,
+ 139313.75369194071,
+ 139339.51377579942,
+ 139365.27505029776,
+ 139391.03751532568,
+ 139416.80117077316,
+ 139442.56601653024,
+ 139468.33205248689,
+ 139494.09927853322,
+ 139519.86769455927,
+ 139545.63730045516,
+ 139571.408096111,
+ 139597.18008141697,
+ 139622.95325626322,
+ 139648.72762054001,
+ 139674.5031741375,
+ 139700.27991694602,
+ 139726.05784885579,
+ 139751.83696975713,
+ 139777.61727954043,
+ 139803.39877809596,
+ 139829.18146531415,
+ 139854.96534108539,
+ 139880.75040530015,
+ 139906.53665784886,
+ 139932.32409862199,
+ 139958.11272751007,
+ 139983.90254440365,
+ 140009.69354919327,
+ 140035.48574176949,
+ 140061.27912202294,
+ 140087.07368984428,
+ 140112.86944512415,
+ 140138.66638775321,
+ 140164.4645176222,
+ 140190.26383462184,
+ 140216.06433864293,
+ 140241.86602957622,
+ 140267.66890731253,
+ 140293.47297174268,
+ 140319.27822275754,
+ 140345.08466024802,
+ 140370.89228410498,
+ 140396.70109421943,
+ 140422.51109048226,
+ 140448.32227278448,
+ 140474.13464101712,
+ 140499.94819507122,
+ 140525.76293483781,
+ 140551.57886020801,
+ 140577.3959710729,
+ 140603.21426732364,
+ 140629.03374885136,
+ 140654.85441554731,
+ 140680.67626730262,
+ 140706.49930400858,
+ 140732.32352555645,
+ 140758.1489318375,
+ 140783.97552274304,
+ 140809.80329816442,
+ 140835.63225799298,
+ 140861.46240212015,
+ 140887.29373043729,
+ 140913.12624283586,
+ 140938.95993920733,
+ 140964.79481944317,
+ 140990.63088343487,
+ 141016.46813107401,
+ 141042.30656225214,
+ 141068.14617686081,
+ 141093.98697479168,
+ 141119.82895593636,
+ 141145.6721201865,
+ 141171.51646743377,
+ 141197.36199756994,
+ 141223.20871048668,
+ 141249.05660607578,
+ 141274.90568422904,
+ 141300.75594483822,
+ 141326.6073877952,
+ 141352.4600129918,
+ 141378.31382031992,
+ 141404.16880967148,
+ 141430.02498093838,
+ 141455.8823340126,
+ 141481.74086878612,
+ 141507.60058515094,
+ 141533.46148299909,
+ 141559.32356222265,
+ 141585.18682271364,
+ 141611.05126436421,
+ 141636.9168870665,
+ 141662.78369071262,
+ 141688.65167519479,
+ 141714.5208404052,
+ 141740.39118623605,
+ 141766.26271257963,
+ 141792.1354193282,
+ 141818.00930637406,
+ 141843.88437360956,
+ 141869.760620927,
+ 141895.6380482188,
+ 141921.51665537735,
+ 141947.39644229505,
+ 141973.27740886438,
+ 141999.15955497778,
+ 142025.04288052776,
+ 142050.92738540689,
+ 142076.81306950765,
+ 142102.69993272264,
+ 142128.58797494444,
+ 142154.47719606571,
+ 142180.36759597904,
+ 142206.25917457714,
+ 142232.15193175265,
+ 142258.04586739838,
+ 142283.94098140698,
+ 142309.83727367126,
+ 142335.73474408401,
+ 142361.63339253806,
+ 142387.5332189262,
+ 142413.43422314132,
+ 142439.33640507635,
+ 142465.23976462413,
+ 142491.14430167765,
+ 142517.05001612983,
+ 142542.95690787368,
+ 142568.86497680223,
+ 142594.77422280848,
+ 142620.68464578551,
+ 142646.5962456264,
+ 142672.50902222423,
+ 142698.42297547215,
+ 142724.33810526333,
+ 142750.25441149093,
+ 142776.17189404817,
+ 142802.09055282827,
+ 142828.01038772447,
+ 142853.93139863008,
+ 142879.85358543837,
+ 142905.77694804268,
+ 142931.70148633636,
+ 142957.62720021277,
+ 142983.55408956532,
+ 143009.48215428743,
+ 143035.41139427255,
+ 143061.34180941415,
+ 143087.27339960571,
+ 143113.20616474075,
+ 143139.14010471283,
+ 143165.07521941551,
+ 143191.01150874238,
+ 143216.94897258704,
+ 143242.88761084314,
+ 143268.82742340435,
+ 143294.76841016437,
+ 143320.71057101688,
+ 143346.65390585564,
+ 143372.59841457437,
+ 143398.54409706692,
+ 143424.49095322701,
+ 143450.43898294857,
+ 143476.38818612538,
+ 143502.33856265133,
+ 143528.29011242036,
+ 143554.24283532638,
+ 143580.19673126334,
+ 143606.1518001252,
+ 143632.10804180597,
+ 143658.06545619969,
+ 143684.02404320039,
+ 143709.98380270213,
+ 143735.944734599,
+ 143761.90683878519,
+ 143787.87011515474,
+ 143813.83456360188,
+ 143839.8001840208,
+ 143865.76697630569,
+ 143891.73494035081,
+ 143917.7040760504,
+ 143943.67438329876,
+ 143969.6458619902,
+ 143995.61851201905,
+ 144021.59233327967,
+ 144047.56732566646,
+ 144073.54348907378,
+ 144099.52082339607,
+ 144125.49932852783,
+ 144151.4790043635,
+ 144177.45985079758,
+ 144203.44186772458,
+ 144229.42505503909,
+ 144255.40941263564,
+ 144281.39494040885,
+ 144307.38163825331,
+ 144333.36950606373,
+ 144359.35854373468,
+ 144385.34875116093,
+ 144411.34012823718,
+ 144437.33267485813,
+ 144463.32639091855,
+ 144489.32127631325,
+ 144515.31733093705,
+ 144541.31455468474,
+ 144567.3129474512,
+ 144593.3125091313,
+ 144619.31323961995,
+ 144645.31513881206,
+ 144671.31820660262,
+ 144697.32244288657,
+ 144723.32784755889,
+ 144749.33442051467,
+ 144775.34216164888,
+ 144801.35107085665,
+ 144827.36114803303,
+ 144853.37239307314,
+ 144879.38480587213,
+ 144905.39838632516,
+ 144931.41313432742,
+ 144957.4290497741,
+ 144983.44613256046,
+ 145009.46438258173,
+ 145035.48379973322,
+ 145061.50438391021,
+ 145087.52613500805,
+ 145113.54905292206,
+ 145139.57313754765,
+ 145165.59838878017,
+ 145191.62480651509,
+ 145217.65239064783,
+ 145243.68114107384,
+ 145269.71105768863,
+ 145295.74214038774,
+ 145321.77438906668,
+ 145347.80780362099,
+ 145373.84238394629,
+ 145399.87812993818,
+ 145425.91504149229,
+ 145451.95311850426,
+ 145477.9923608698,
+ 145504.03276848458,
+ 145530.07434124436,
+ 145556.11707904484,
+ 145582.16098178181,
+ 145608.20604935108,
+ 145634.25228164849,
+ 145660.29967856981,
+ 145686.34824001096,
+ 145712.39796586783,
+ 145738.4488560363,
+ 145764.50091041232,
+ 145790.55412889185,
+ 145816.60851137087,
+ 145842.66405774537,
+ 145868.72076791141,
+ 145894.77864176501,
+ 145920.83767920226,
+ 145946.89788011924,
+ 145972.95924441208,
+ 145999.02177197693,
+ 146025.08546270995,
+ 146051.15031650732,
+ 146077.21633326527,
+ 146103.28351288004,
+ 146129.35185524789,
+ 146155.42136026506,
+ 146181.49202782792,
+ 146207.56385783272,
+ 146233.63685017588,
+ 146259.71100475377,
+ 146285.78632146274,
+ 146311.86280019928,
+ 146337.94044085976,
+ 146364.01924334071,
+ 146390.09920753856,
+ 146416.18033334985,
+ 146442.26262067116,
+ 146468.34606939898,
+ 146494.43067942993,
+ 146520.51645066062,
+ 146546.60338298764,
+ 146572.69147630769,
+ 146598.78073051744,
+ 146624.87114551352,
+ 146650.96272119274,
+ 146677.05545745179,
+ 146703.14935418745,
+ 146729.2444112965,
+ 146755.34062867577,
+ 146781.43800622207,
+ 146807.53654383228,
+ 146833.63624140329,
+ 146859.73709883197,
+ 146885.83911601527,
+ 146911.94229285014,
+ 146938.04662923355,
+ 146964.15212506248,
+ 146990.25878023397,
+ 147016.36659464505,
+ 147042.47556819281,
+ 147068.58570077427,
+ 147094.6969922866,
+ 147120.80944262692,
+ 147146.92305169237,
+ 147173.03781938017,
+ 147199.15374558745,
+ 147225.27083021149,
+ 147251.38907314953,
+ 147277.50847429881,
+ 147303.62903355664,
+ 147329.75075082036,
+ 147355.87362598727,
+ 147381.99765895473,
+ 147408.12284962015,
+ 147434.24919788091,
+ 147460.37670363448,
+ 147486.50536677826,
+ 147512.63518720976,
+ 147538.76616482646,
+ 147564.89829952587,
+ 147591.03159120557,
+ 147617.16603976308,
+ 147643.30164509601,
+ 147669.43840710199,
+ 147695.57632567859,
+ 147721.71540072354,
+ 147747.85563213445,
+ 147773.99701980909,
+ 147800.13956364512,
+ 147826.28326354033,
+ 147852.42811939248,
+ 147878.57413109933,
+ 147904.72129855872,
+ 147930.86962166851,
+ 147957.01910032652,
+ 147983.16973443062,
+ 148009.32152387875,
+ 148035.47446856883,
+ 148061.62856839882,
+ 148087.78382326665,
+ 148113.94023307035,
+ 148140.09779770792,
+ 148166.25651707739,
+ 148192.41639107687,
+ 148218.57741960438,
+ 148244.73960255808,
+ 148270.90293983606,
+ 148297.0674313365,
+ 148323.23307695755,
+ 148349.39987659742,
+ 148375.56783015432,
+ 148401.73693752653,
+ 148427.90719861226,
+ 148454.07861330983,
+ 148480.25118151752,
+ 148506.42490313368,
+ 148532.59977805667,
+ 148558.77580618486,
+ 148584.95298741665,
+ 148611.13132165043,
+ 148637.31080878471,
+ 148663.49144871789,
+ 148689.6732413485,
+ 148715.85618657502,
+ 148742.040284296,
+ 148768.22553440998,
+ 148794.41193681557,
+ 148820.59949141133,
+ 148846.78819809589,
+ 148872.97805676793,
+ 148899.16906732606,
+ 148925.36122966901,
+ 148951.55454369547,
+ 148977.74900930419,
+ 149003.9446263939,
+ 149030.1413948634,
+ 149056.33931461151,
+ 149082.53838553699,
+ 149108.73860753875,
+ 149134.9399805156,
+ 149161.14250436646,
+ 149187.34617899026,
+ 149213.5510042859,
+ 149239.75698015234,
+ 149265.96410648854,
+ 149292.17238319354,
+ 149318.38181016635,
+ 149344.59238730598,
+ 149370.80411451156,
+ 149397.01699168212,
+ 149423.23101871679,
+ 149449.44619551473,
+ 149475.66252197503,
+ 149501.87999799693,
+ 149528.0986234796,
+ 149554.31839832227,
+ 149580.53932242419,
+ 149606.76139568459,
+ 149632.98461800278,
+ 149659.20898927809,
+ 149685.43450940982,
+ 149711.66117829733,
+ 149737.88899584001,
+ 149764.11796193724,
+ 149790.34807648844,
+ 149816.57933939309,
+ 149842.81175055061,
+ 149869.04530986046,
+ 149895.28001722222,
+ 149921.51587253538,
+ 149947.75287569952,
+ 149973.99102661415,
+ 150000.23032517891,
+ 150026.47077129342,
+ 150052.71236485732,
+ 150078.95510577026,
+ 150105.1989939319,
+ 150131.444029242,
+ 150157.69021160025,
+ 150183.93754090639,
+ 150210.18601706024,
+ 150236.43563996154,
+ 150262.68640951012,
+ 150288.93832560582,
+ 150315.19138814852,
+ 150341.44559703805,
+ 150367.70095217437,
+ 150393.95745345735,
+ 150420.21510078697,
+ 150446.47389406321,
+ 150472.73383318601,
+ 150498.99491805542,
+ 150525.25714857146,
+ 150551.52052463419,
+ 150577.78504614369,
+ 150604.05071300003,
+ 150630.31752510337,
+ 150656.58548235384,
+ 150682.85458465159,
+ 150709.1248318968,
+ 150735.39622398972,
+ 150761.66876083051,
+ 150787.9424423195,
+ 150814.21726835691,
+ 150840.49323884305,
+ 150866.77035367821,
+ 150893.04861276277,
+ 150919.32801599705,
+ 150945.60856328148,
+ 150971.89025451642,
+ 150998.17308960229,
+ 151024.45706843957,
+ 151050.74219092872,
+ 151077.02845697021,
+ 151103.31586646455,
+ 151129.60441931229,
+ 151155.894115414,
+ 151182.1849546702,
+ 151208.47693698155,
+ 151234.77006224863,
+ 151261.06433037209,
+ 151287.35974125259,
+ 151313.65629479082,
+ 151339.95399088747,
+ 151366.25282944329,
+ 151392.55281035902,
+ 151418.85393353543,
+ 151445.1561988733,
+ 151471.45960627345,
+ 151497.76415563675,
+ 151524.06984686397,
+ 151550.37667985607,
+ 151576.68465451393,
+ 151602.99377073845,
+ 151629.30402843058,
+ 151655.61542749128,
+ 151681.92796782157,
+ 151708.24164932242,
+ 151734.55647189484,
+ 151760.87243543993,
+ 151787.18953985872,
+ 151813.50778505235,
+ 151839.82717092187,
+ 151866.14769736846,
+ 151892.46936429327,
+ 151918.79217159748,
+ 151945.11611918229,
+ 151971.44120694889,
+ 151997.76743479856,
+ 152024.09480263255,
+ 152050.42331035214,
+ 152076.75295785864,
+ 152103.08374505339,
+ 152129.41567183775,
+ 152155.74873811303,
+ 152182.08294378067,
+ 152208.41828874208,
+ 152234.75477289871,
+ 152261.09239615197,
+ 152287.43115840337,
+ 152313.77105955439,
+ 152340.11209950657,
+ 152366.45427816146,
+ 152392.79759542056,
+ 152419.14205118554,
+ 152445.48764535793,
+ 152471.8343778394,
+ 152498.18224853161,
+ 152524.53125733617,
+ 152550.88140415482,
+ 152577.23268888926,
+ 152603.58511144121,
+ 152629.93867171241,
+ 152656.29336960468,
+ 152682.64920501978,
+ 152709.00617785956,
+ 152735.36428802583,
+ 152761.72353542043,
+ 152788.08391994529,
+ 152814.44544150229,
+ 152840.80809999333,
+ 152867.17189532038,
+ 152893.53682738543,
+ 152919.90289609041,
+ 152946.27010133737,
+ 152972.63844302832,
+ 152999.00792106529,
+ 153025.37853535041,
+ 153051.7502857857,
+ 153078.12317227334,
+ 153104.4971947154,
+ 153130.8723530141,
+ 153157.24864707157,
+ 153183.62607679001,
+ 153210.00464207167,
+ 153236.38434281875,
+ 153262.76517893354,
+ 153289.14715031831,
+ 153315.53025687535,
+ 153341.91449850702,
+ 153368.2998751156,
+ 153394.68638660354,
+ 153421.07403287315,
+ 153447.46281382689,
+ 153473.85272936718,
+ 153500.24377939643,
+ 153526.63596381716,
+ 153553.02928253182,
+ 153579.42373544298,
+ 153605.81932245308,
+ 153632.21604346478,
+ 153658.61389838057,
+ 153685.0128871031,
+ 153711.41300953497,
+ 153737.81426557881,
+ 153764.21665513728,
+ 153790.62017811305,
+ 153817.02483440886,
+ 153843.43062392739,
+ 153869.83754657139,
+ 153896.24560224367,
+ 153922.65479084692,
+ 153949.06511228404,
+ 153975.4765664578,
+ 154001.88915327107,
+ 154028.30287262669,
+ 154054.71772442761,
+ 154081.13370857667,
+ 154107.55082497682,
+ 154133.96907353101,
+ 154160.38845414223,
+ 154186.80896671346,
+ 154213.23061114774,
+ 154239.65338734805,
+ 154266.07729521746,
+ 154292.50233465908,
+ 154318.92850557598,
+ 154345.35580787127,
+ 154371.7842414481,
+ 154398.21380620965,
+ 154424.64450205903,
+ 154451.07632889951,
+ 154477.50928663427,
+ 154503.94337516659,
+ 154530.37859439969,
+ 154556.81494423689,
+ 154583.25242458144,
+ 154609.69103533673,
+ 154636.13077640603,
+ 154662.57164769279,
+ 154689.01364910032,
+ 154715.45678053208,
+ 154741.90104189145,
+ 154768.34643308193,
+ 154794.79295400696,
+ 154821.24060457002,
+ 154847.68938467462,
+ 154874.13929422433,
+ 154900.59033312264,
+ 154927.04250127316,
+ 154953.49579857948,
+ 154979.95022494521,
+ 155006.40578027396,
+ 155032.86246446942,
+ 155059.32027743524,
+ 155085.77921907514,
+ 155112.2392892928,
+ 155138.70048799197,
+ 155165.16281507642,
+ 155191.62627044989,
+ 155218.09085401625,
+ 155244.55656567923,
+ 155271.02340534274,
+ 155297.49137291059,
+ 155323.96046828668,
+ 155350.4306913749,
+ 155376.90204207919,
+ 155403.37452030348,
+ 155429.84812595171,
+ 155456.32285892789,
+ 155482.79871913602,
+ 155509.27570648011,
+ 155535.75382086422,
+ 155562.23306219239,
+ 155588.71343036872,
+ 155615.19492529731,
+ 155641.67754688227,
+ 155668.16129502779,
+ 155694.64616963797,
+ 155721.13217061706,
+ 155747.61929786921,
+ 155774.10755129869,
+ 155800.59693080973,
+ 155827.08743630661,
+ 155853.57906769359,
+ 155880.07182487496,
+ 155906.56570775513,
+ 155933.06071623837,
+ 155959.55685022907,
+ 155986.05410963166,
+ 156012.5524943505,
+ 156039.05200429002,
+ 156065.55263935472,
+ 156092.054399449,
+ 156118.5572844774,
+ 156145.06129434443,
+ 156171.5664289546,
+ 156198.07268821247,
+ 156224.5800720226,
+ 156251.08858028959,
+ 156277.59821291809,
+ 156304.10896981266,
+ 156330.62085087801,
+ 156357.1338560188,
+ 156383.64798513969,
+ 156410.16323814544,
+ 156436.67961494075,
+ 156463.1971154304,
+ 156489.71573951913,
+ 156516.23548711176,
+ 156542.75635811311,
+ 156569.27835242799,
+ 156595.80146996127,
+ 156622.32571061782,
+ 156648.85107430254,
+ 156675.37756092031,
+ 156701.90517037612,
+ 156728.43390257491,
+ 156754.96375742162,
+ 156781.49473482129,
+ 156808.02683467892,
+ 156834.5600568995,
+ 156861.09440138817,
+ 156887.62986804993,
+ 156914.16645678994,
+ 156940.70416751326,
+ 156967.24300012505,
+ 156993.78295453047,
+ 157020.32403063469,
+ 157046.8662283429,
+ 157073.40954756032,
+ 157099.9539881922,
+ 157126.49955014378,
+ 157153.04623332032,
+ 157179.59403762716,
+ 157206.14296296958,
+ 157232.69300925292,
+ 157259.24417638258,
+ 157285.79646426387,
+ 157312.34987280221,
+ 157338.90440190304,
+ 157365.46005147175,
+ 157392.01682141385,
+ 157418.57471163478,
+ 157445.13372204005,
+ 157471.69385253513,
+ 157498.25510302564,
+ 157524.81747341706,
+ 157551.38096361503,
+ 157577.9455735251,
+ 157604.51130305286,
+ 157631.07815210402,
+ 157657.64612058419,
+ 157684.21520839902,
+ 157710.78541545427,
+ 157737.35674165559,
+ 157763.92918690876,
+ 157790.50275111952,
+ 157817.07743419363,
+ 157843.65323603692,
+ 157870.23015655516,
+ 157896.80819565422,
+ 157923.3873532399,
+ 157949.96762921812,
+ 157976.54902349479,
+ 158003.13153597576,
+ 158029.71516656701,
+ 158056.29991517449,
+ 158082.88578170416,
+ 158109.47276606198,
+ 158136.06086815402,
+ 158162.65008788629,
+ 158189.24042516484,
+ 158215.83187989573,
+ 158242.42445198505,
+ 158269.01814133892,
+ 158295.61294786347,
+ 158322.20887146486,
+ 158348.80591204923,
+ 158375.4040695228,
+ 158402.00334379176,
+ 158428.60373476235,
+ 158455.2052423408,
+ 158481.80786643337,
+ 158508.41160694641,
+ 158535.01646378616,
+ 158561.62243685898,
+ 158588.2295260712,
+ 158614.8377313292,
+ 158641.44705253936,
+ 158668.05748960807,
+ 158694.66904244179,
+ 158721.28171094693,
+ 158747.89549502998,
+ 158774.5103945974,
+ 158801.12640955573,
+ 158827.74353981143,
+ 158854.36178527112,
+ 158880.9811458413,
+ 158907.60162142856,
+ 158934.22321193956,
+ 158960.84591728085,
+ 158987.46973735912,
+ 159014.09467208097,
+ 159040.72072135314,
+ 159067.3478850823,
+ 159093.97616317519,
+ 159120.60555553852,
+ 159147.23606207906,
+ 159173.8676827036,
+ 159200.50041731889,
+ 159227.13426583182,
+ 159253.76922814918,
+ 159280.40530417781,
+ 159307.04249382461,
+ 159333.68079699649,
+ 159360.32021360032,
+ 159386.96074354305,
+ 159413.60238673165,
+ 159440.24514307309,
+ 159466.88901247433,
+ 159493.53399484244,
+ 159520.18009008438,
+ 159546.82729810724,
+ 159573.47561881805,
+ 159600.12505212394,
+ 159626.77559793202,
+ 159653.42725614941,
+ 159680.08002668325,
+ 159706.73390944069,
+ 159733.38890432892,
+ 159760.04501125516,
+ 159786.70223012666,
+ 159813.36056085059,
+ 159840.02000333427,
+ 159866.68055748497,
+ 159893.34222320997,
+ 159920.00500041663,
+ 159946.66888901225,
+ 159973.33388890422,
+ 159999.99999999988,
+ 160026.66722220668,
+ 160053.33555543202,
+ 160080.0049995833,
+ 160106.67555456801,
+ 160133.3472202936,
+ 160160.0199966676,
+ 160186.6938835975,
+ 160213.36888099083,
+ 160240.04498875517,
+ 160266.72220679806,
+ 160293.40053502709,
+ 160320.07997334987,
+ 160346.76052167406,
+ 160373.44217990729,
+ 160400.1249479572,
+ 160426.80882573154,
+ 160453.49381313793,
+ 160480.17991008417,
+ 160506.86711647795,
+ 160533.55543222709,
+ 160560.24485723933,
+ 160586.93539142248,
+ 160613.62703468435,
+ 160640.31978693281,
+ 160667.01364807569,
+ 160693.70861802087,
+ 160720.40469667627,
+ 160747.1018839498,
+ 160773.80017974938,
+ 160800.49958398298,
+ 160827.20009655855,
+ 160853.90171738411,
+ 160880.60444636765,
+ 160907.30828341722,
+ 160934.01322844089,
+ 160960.71928134665,
+ 160987.42644204266,
+ 161014.13471043704,
+ 161040.84408643784,
+ 161067.55456995327,
+ 161094.26616089148,
+ 161120.97885916062,
+ 161147.69266466892,
+ 161174.40757732463,
+ 161201.12359703594,
+ 161227.84072371112,
+ 161254.55895725847,
+ 161281.27829758628,
+ 161307.99874460287,
+ 161334.72029821656,
+ 161361.44295833571,
+ 161388.1667248687,
+ 161414.89159772391,
+ 161441.61757680977,
+ 161468.34466203468,
+ 161495.07285330712,
+ 161521.80215053557,
+ 161548.53255362847,
+ 161575.26406249436,
+ 161601.99667704175,
+ 161628.7303971792,
+ 161655.46522281526,
+ 161682.20115385848,
+ 161708.93819021754,
+ 161735.67633180099,
+ 161762.41557851751,
+ 161789.15593027571,
+ 161815.89738698432,
+ 161842.63994855201,
+ 161869.38361488748,
+ 161896.1283858995,
+ 161922.87426149679,
+ 161949.62124158812,
+ 161976.36932608229,
+ 162003.1185148881,
+ 162029.8688079144,
+ 162056.62020507001,
+ 162083.37270626382,
+ 162110.12631140469,
+ 162136.88102040152,
+ 162163.63683316324,
+ 162190.39374959879,
+ 162217.15176961714,
+ 162243.91089312723,
+ 162270.67112003808,
+ 162297.43245025873,
+ 162324.19488369819,
+ 162350.9584202655,
+ 162377.72305986975,
+ 162404.48880242003,
+ 162431.25564782543,
+ 162458.02359599507,
+ 162484.79264683815,
+ 162511.56280026378,
+ 162538.33405618116,
+ 162565.10641449949,
+ 162591.87987512801,
+ 162618.65443797593,
+ 162645.43010295252,
+ 162672.20686996708,
+ 162698.98473892888,
+ 162725.76370974723,
+ 162752.54378233149,
+ 162779.32495659095,
+ 162806.10723243505,
+ 162832.89060977317,
+ 162859.67508851466,
+ 162886.46066856899,
+ 162913.24734984562,
+ 162940.03513225398,
+ 162966.82401570358,
+ 162993.6140001039,
+ 163020.40508536444,
+ 163047.19727139481,
+ 163073.99055810447,
+ 163100.78494540305,
+ 163127.58043320014,
+ 163154.37702140535,
+ 163181.17470992831,
+ 163207.97349867865,
+ 163234.77338756606,
+ 163261.57437650024,
+ 163288.37646539087,
+ 163315.17965414765,
+ 163341.98394268038,
+ 163368.78933089875,
+ 163395.59581871261,
+ 163422.40340603172,
+ 163449.2120927659,
+ 163476.02187882498,
+ 163502.83276411882,
+ 163529.6447485573,
+ 163556.45783205028,
+ 163583.2720145077,
+ 163610.08729583945,
+ 163636.90367595552,
+ 163663.72115476584,
+ 163690.53973218042,
+ 163717.35940810922,
+ 163744.18018246227,
+ 163771.00205514964,
+ 163797.82502608138,
+ 163824.64909516752,
+ 163851.4742623182,
+ 163878.3005274435,
+ 163905.12789045356,
+ 163931.95635125853,
+ 163958.78590976857,
+ 163985.61656589387,
+ 164012.44831954464,
+ 164039.28117063109,
+ 164066.11511906344,
+ 164092.95016475199,
+ 164119.78630760699,
+ 164146.62354753874,
+ 164173.46188445756,
+ 164200.30131827376,
+ 164227.14184889771,
+ 164253.98347623978,
+ 164280.82620021031,
+ 164307.67002071979,
+ 164334.51493767856,
+ 164361.3609509971,
+ 164388.20806058586,
+ 164415.05626635533,
+ 164441.905568216,
+ 164468.75596607837,
+ 164495.607459853,
+ 164522.4600494504,
+ 164549.31373478117,
+ 164576.16851575591,
+ 164603.02439228518,
+ 164629.88136427966,
+ 164656.73943164994,
+ 164683.59859430668,
+ 164710.45885216061,
+ 164737.32020512238,
+ 164764.1826531027,
+ 164791.04619601235,
+ 164817.91083376206,
+ 164844.77656626256,
+ 164871.64339342469,
+ 164898.51131515924,
+ 164925.38033137703,
+ 164952.25044198887,
+ 164979.1216469057,
+ 165005.9939460383,
+ 165032.86733929763,
+ 165059.7418265946,
+ 165086.61740784015,
+ 165113.4940829452
};
#else
-/* !!!DON'T CHANGE IQ_TABLE_SIZE!!! */
-#define IQ_TABLE_SIZE 8192
+#define IQ_TABLE_SIZE 1026
-static real_t iq_table[] =
+ALIGN static const real_t iq_table[IQ_TABLE_SIZE] =
{
- REAL_CONST(0.000000/8.0),
- REAL_CONST(1.000000/8.0),
- REAL_CONST(2.519842/8.0),
- REAL_CONST(4.326749/8.0),
- REAL_CONST(6.349604/8.0),
- REAL_CONST(8.549880/8.0),
- REAL_CONST(10.902724/8.0),
- REAL_CONST(13.390518/8.0),
- REAL_CONST(16.000000/8.0),
- REAL_CONST(18.720754/8.0),
- REAL_CONST(21.544347/8.0),
- REAL_CONST(24.463781/8.0),
- REAL_CONST(27.473142/8.0),
- REAL_CONST(30.567351/8.0),
- REAL_CONST(33.741992/8.0),
- REAL_CONST(36.993181/8.0),
- REAL_CONST(40.317474/8.0),
- REAL_CONST(43.711787/8.0),
- REAL_CONST(47.173345/8.0),
- REAL_CONST(50.699631/8.0),
- REAL_CONST(54.288352/8.0),
- REAL_CONST(57.937408/8.0),
- REAL_CONST(61.644865/8.0),
- REAL_CONST(65.408941/8.0),
- REAL_CONST(69.227979/8.0),
- REAL_CONST(73.100443/8.0),
- REAL_CONST(77.024898/8.0),
- REAL_CONST(81.000000/8.0),
- REAL_CONST(85.024491/8.0),
- REAL_CONST(89.097188/8.0),
- REAL_CONST(93.216975/8.0),
- REAL_CONST(97.382800/8.0),
- REAL_CONST(101.593667/8.0),
- REAL_CONST(105.848633/8.0),
- REAL_CONST(110.146801/8.0),
- REAL_CONST(114.487321/8.0),
- REAL_CONST(118.869381/8.0),
- REAL_CONST(123.292209/8.0),
- REAL_CONST(127.755065/8.0),
- REAL_CONST(132.257246/8.0),
- REAL_CONST(136.798076/8.0),
- REAL_CONST(141.376907/8.0),
- REAL_CONST(145.993119/8.0),
- REAL_CONST(150.646117/8.0),
- REAL_CONST(155.335327/8.0),
- REAL_CONST(160.060199/8.0),
- REAL_CONST(164.820202/8.0),
- REAL_CONST(169.614826/8.0),
- REAL_CONST(174.443577/8.0),
- REAL_CONST(179.305980/8.0),
- REAL_CONST(184.201575/8.0),
- REAL_CONST(189.129918/8.0),
- REAL_CONST(194.090580/8.0),
- REAL_CONST(199.083145/8.0),
- REAL_CONST(204.107210/8.0),
- REAL_CONST(209.162385/8.0),
- REAL_CONST(214.248292/8.0),
- REAL_CONST(219.364564/8.0),
- REAL_CONST(224.510845/8.0),
- REAL_CONST(229.686789/8.0),
- REAL_CONST(234.892058/8.0),
- REAL_CONST(240.126328/8.0),
- REAL_CONST(245.389280/8.0),
- REAL_CONST(250.680604/8.0),
- REAL_CONST(256.000000/8.0),
- REAL_CONST(261.347174/8.0),
- REAL_CONST(266.721841/8.0),
- REAL_CONST(272.123723/8.0),
- REAL_CONST(277.552547/8.0),
- REAL_CONST(283.008049/8.0),
- REAL_CONST(288.489971/8.0),
- REAL_CONST(293.998060/8.0),
- REAL_CONST(299.532071/8.0),
- REAL_CONST(305.091761/8.0),
- REAL_CONST(310.676898/8.0),
- REAL_CONST(316.287249/8.0),
- REAL_CONST(321.922592/8.0),
- REAL_CONST(327.582707/8.0),
- REAL_CONST(333.267377/8.0),
- REAL_CONST(338.976394/8.0),
- REAL_CONST(344.709550/8.0),
- REAL_CONST(350.466646/8.0),
- REAL_CONST(356.247482/8.0),
- REAL_CONST(362.051866/8.0),
- REAL_CONST(367.879608/8.0),
- REAL_CONST(373.730522/8.0),
- REAL_CONST(379.604427/8.0),
- REAL_CONST(385.501143/8.0),
- REAL_CONST(391.420496/8.0),
- REAL_CONST(397.362314/8.0),
- REAL_CONST(403.326427/8.0),
- REAL_CONST(409.312672/8.0),
- REAL_CONST(415.320884/8.0),
- REAL_CONST(421.350905/8.0),
- REAL_CONST(427.402579/8.0),
- REAL_CONST(433.475750/8.0),
- REAL_CONST(439.570269/8.0),
- REAL_CONST(445.685987/8.0),
- REAL_CONST(451.822757/8.0),
- REAL_CONST(457.980436/8.0),
- REAL_CONST(464.158883/8.0),
- REAL_CONST(470.357960/8.0),
- REAL_CONST(476.577530/8.0),
- REAL_CONST(482.817459/8.0),
- REAL_CONST(489.077615/8.0),
- REAL_CONST(495.357868/8.0),
- REAL_CONST(501.658090/8.0),
- REAL_CONST(507.978156/8.0),
- REAL_CONST(514.317941/8.0),
- REAL_CONST(520.677324/8.0),
- REAL_CONST(527.056184/8.0),
- REAL_CONST(533.454404/8.0),
- REAL_CONST(539.871867/8.0),
- REAL_CONST(546.308458/8.0),
- REAL_CONST(552.764065/8.0),
- REAL_CONST(559.238575/8.0),
- REAL_CONST(565.731879/8.0),
- REAL_CONST(572.243870/8.0),
- REAL_CONST(578.774440/8.0),
- REAL_CONST(585.323483/8.0),
- REAL_CONST(591.890898/8.0),
- REAL_CONST(598.476581/8.0),
- REAL_CONST(605.080431/8.0),
- REAL_CONST(611.702349/8.0),
- REAL_CONST(618.342238/8.0),
- REAL_CONST(625.000000/8.0),
- REAL_CONST(631.675540/8.0),
- REAL_CONST(638.368763/8.0),
- REAL_CONST(645.079578/8.0),
- REAL_CONST(651.807891/8.0),
- REAL_CONST(658.553612/8.0),
- REAL_CONST(665.316653/8.0),
- REAL_CONST(672.096925/8.0),
- REAL_CONST(678.894340/8.0),
- REAL_CONST(685.708813/8.0),
- REAL_CONST(692.540258/8.0),
- REAL_CONST(699.388593/8.0),
- REAL_CONST(706.253733/8.0),
- REAL_CONST(713.135597/8.0),
- REAL_CONST(720.034104/8.0),
- REAL_CONST(726.949174/8.0),
- REAL_CONST(733.880729/8.0),
- REAL_CONST(740.828689/8.0),
- REAL_CONST(747.792979/8.0),
- REAL_CONST(754.773522/8.0),
- REAL_CONST(761.770242/8.0),
- REAL_CONST(768.783065/8.0),
- REAL_CONST(775.811917/8.0),
- REAL_CONST(782.856726/8.0),
- REAL_CONST(789.917420/8.0),
- REAL_CONST(796.993927/8.0),
- REAL_CONST(804.086177/8.0),
- REAL_CONST(811.194101/8.0),
- REAL_CONST(818.317630/8.0),
- REAL_CONST(825.456695/8.0),
- REAL_CONST(832.611230/8.0),
- REAL_CONST(839.781167/8.0),
- REAL_CONST(846.966442/8.0),
- REAL_CONST(854.166988/8.0),
- REAL_CONST(861.382741/8.0),
- REAL_CONST(868.613637/8.0),
- REAL_CONST(875.859614/8.0),
- REAL_CONST(883.120608/8.0),
- REAL_CONST(890.396558/8.0),
- REAL_CONST(897.687403/8.0),
- REAL_CONST(904.993081/8.0),
- REAL_CONST(912.313534/8.0),
- REAL_CONST(919.648701/8.0),
- REAL_CONST(926.998523/8.0),
- REAL_CONST(934.362944/8.0),
- REAL_CONST(941.741904/8.0),
- REAL_CONST(949.135347/8.0),
- REAL_CONST(956.543216/8.0),
- REAL_CONST(963.965455/8.0),
- REAL_CONST(971.402010/8.0),
- REAL_CONST(978.852824/8.0),
- REAL_CONST(986.317844/8.0),
- REAL_CONST(993.797016/8.0),
- REAL_CONST(1001.290286/8.0),
- REAL_CONST(1008.797602/8.0),
- REAL_CONST(1016.318911/8.0),
- REAL_CONST(1023.854161/8.0),
- REAL_CONST(1031.403302/8.0),
- REAL_CONST(1038.966281/8.0),
- REAL_CONST(1046.543049/8.0),
- REAL_CONST(1054.133555/8.0),
- REAL_CONST(1061.737750/8.0),
- REAL_CONST(1069.355585/8.0),
- REAL_CONST(1076.987011/8.0),
- REAL_CONST(1084.631981/8.0),
- REAL_CONST(1092.290445/8.0),
- REAL_CONST(1099.962357/8.0),
- REAL_CONST(1107.647670/8.0),
- REAL_CONST(1115.346337/8.0),
- REAL_CONST(1123.058312/8.0),
- REAL_CONST(1130.783550/8.0),
- REAL_CONST(1138.522004/8.0),
- REAL_CONST(1146.273630/8.0),
- REAL_CONST(1154.038383/8.0),
- REAL_CONST(1161.816220/8.0),
- REAL_CONST(1169.607095/8.0),
- REAL_CONST(1177.410967/8.0),
- REAL_CONST(1185.227790/8.0),
- REAL_CONST(1193.057524/8.0),
- REAL_CONST(1200.900125/8.0),
- REAL_CONST(1208.755551/8.0),
- REAL_CONST(1216.623760/8.0),
- REAL_CONST(1224.504712/8.0),
- REAL_CONST(1232.398364/8.0),
- REAL_CONST(1240.304677/8.0),
- REAL_CONST(1248.223610/8.0),
- REAL_CONST(1256.155123/8.0),
- REAL_CONST(1264.099175/8.0),
- REAL_CONST(1272.055728/8.0),
- REAL_CONST(1280.024742/8.0),
- REAL_CONST(1288.006179/8.0),
- REAL_CONST(1296.000000/8.0),
- REAL_CONST(1304.006167/8.0),
- REAL_CONST(1312.024641/8.0),
- REAL_CONST(1320.055385/8.0),
- REAL_CONST(1328.098362/8.0),
- REAL_CONST(1336.153535/8.0),
- REAL_CONST(1344.220866/8.0),
- REAL_CONST(1352.300320/8.0),
- REAL_CONST(1360.391859/8.0),
- REAL_CONST(1368.495449/8.0),
- REAL_CONST(1376.611053/8.0),
- REAL_CONST(1384.738635/8.0),
- REAL_CONST(1392.878162/8.0),
- REAL_CONST(1401.029597/8.0),
- REAL_CONST(1409.192905/8.0),
- REAL_CONST(1417.368054/8.0),
- REAL_CONST(1425.555007/8.0),
- REAL_CONST(1433.753732/8.0),
- REAL_CONST(1441.964195/8.0),
- REAL_CONST(1450.186361/8.0),
- REAL_CONST(1458.420199/8.0),
- REAL_CONST(1466.665675/8.0),
- REAL_CONST(1474.922755/8.0),
- REAL_CONST(1483.191409/8.0),
- REAL_CONST(1491.471603/8.0),
- REAL_CONST(1499.763305/8.0),
- REAL_CONST(1508.066484/8.0),
- REAL_CONST(1516.381107/8.0),
- REAL_CONST(1524.707144/8.0),
- REAL_CONST(1533.044563/8.0),
- REAL_CONST(1541.393333/8.0),
- REAL_CONST(1549.753423/8.0),
- REAL_CONST(1558.124804/8.0),
- REAL_CONST(1566.507443/8.0),
- REAL_CONST(1574.901312/8.0),
- REAL_CONST(1583.306381/8.0),
- REAL_CONST(1591.722619/8.0),
- REAL_CONST(1600.149996/8.0),
- REAL_CONST(1608.588485/8.0),
- REAL_CONST(1617.038055/8.0),
- REAL_CONST(1625.498677/8.0),
- REAL_CONST(1633.970323/8.0),
- REAL_CONST(1642.452964/8.0),
- REAL_CONST(1650.946572/8.0),
- REAL_CONST(1659.451118/8.0),
- REAL_CONST(1667.966574/8.0),
- REAL_CONST(1676.492913/8.0),
- REAL_CONST(1685.030106/8.0),
- REAL_CONST(1693.578126/8.0),
- REAL_CONST(1702.136946/8.0),
- REAL_CONST(1710.706539/8.0),
- REAL_CONST(1719.286878/8.0),
- REAL_CONST(1727.877935/8.0),
- REAL_CONST(1736.479684/8.0),
- REAL_CONST(1745.092099/8.0),
- REAL_CONST(1753.715153/8.0),
- REAL_CONST(1762.348820/8.0),
- REAL_CONST(1770.993074/8.0),
- REAL_CONST(1779.647889/8.0),
- REAL_CONST(1788.313239/8.0),
- REAL_CONST(1796.989100/8.0),
- REAL_CONST(1805.675445/8.0),
- REAL_CONST(1814.372248/8.0),
- REAL_CONST(1823.079487/8.0),
- REAL_CONST(1831.797134/8.0),
- REAL_CONST(1840.525165/8.0),
- REAL_CONST(1849.263556/8.0),
- REAL_CONST(1858.012283/8.0),
- REAL_CONST(1866.771320/8.0),
- REAL_CONST(1875.540644/8.0),
- REAL_CONST(1884.320231/8.0),
- REAL_CONST(1893.110056/8.0),
- REAL_CONST(1901.910095/8.0),
- REAL_CONST(1910.720326/8.0),
- REAL_CONST(1919.540725/8.0),
- REAL_CONST(1928.371268/8.0),
- REAL_CONST(1937.211932/8.0),
- REAL_CONST(1946.062693/8.0),
- REAL_CONST(1954.923530/8.0),
- REAL_CONST(1963.794418/8.0),
- REAL_CONST(1972.675336/8.0),
- REAL_CONST(1981.566261/8.0),
- REAL_CONST(1990.467169/8.0),
- REAL_CONST(1999.378040/8.0),
- REAL_CONST(2008.298850/8.0),
- REAL_CONST(2017.229578/8.0),
- REAL_CONST(2026.170201/8.0),
- REAL_CONST(2035.120698/8.0),
- REAL_CONST(2044.081047/8.0),
- REAL_CONST(2053.051227/8.0),
- REAL_CONST(2062.031215/8.0),
- REAL_CONST(2071.020990/8.0),
- REAL_CONST(2080.020532/8.0),
- REAL_CONST(2089.029819/8.0),
- REAL_CONST(2098.048830/8.0),
- REAL_CONST(2107.077544/8.0),
- REAL_CONST(2116.115940/8.0),
- REAL_CONST(2125.163998/8.0),
- REAL_CONST(2134.221697/8.0),
- REAL_CONST(2143.289017/8.0),
- REAL_CONST(2152.365936/8.0),
- REAL_CONST(2161.452435/8.0),
- REAL_CONST(2170.548495/8.0),
- REAL_CONST(2179.654093/8.0),
- REAL_CONST(2188.769212/8.0),
- REAL_CONST(2197.893830/8.0),
- REAL_CONST(2207.027929/8.0),
- REAL_CONST(2216.171488/8.0),
- REAL_CONST(2225.324488/8.0),
- REAL_CONST(2234.486909/8.0),
- REAL_CONST(2243.658733/8.0),
- REAL_CONST(2252.839939/8.0),
- REAL_CONST(2262.030510/8.0),
- REAL_CONST(2271.230425/8.0),
- REAL_CONST(2280.439666/8.0),
- REAL_CONST(2289.658214/8.0),
- REAL_CONST(2298.886050/8.0),
- REAL_CONST(2308.123156/8.0),
- REAL_CONST(2317.369513/8.0),
- REAL_CONST(2326.625102/8.0),
- REAL_CONST(2335.889905/8.0),
- REAL_CONST(2345.163905/8.0),
- REAL_CONST(2354.447082/8.0),
- REAL_CONST(2363.739418/8.0),
- REAL_CONST(2373.040896/8.0),
- REAL_CONST(2382.351497/8.0),
- REAL_CONST(2391.671205/8.0),
- REAL_CONST(2401.000000/8.0),
- REAL_CONST(2410.337866/8.0),
- REAL_CONST(2419.684784/8.0),
- REAL_CONST(2429.040737/8.0),
- REAL_CONST(2438.405709/8.0),
- REAL_CONST(2447.779680/8.0),
- REAL_CONST(2457.162635/8.0),
- REAL_CONST(2466.554556/8.0),
- REAL_CONST(2475.955426/8.0),
- REAL_CONST(2485.365228/8.0),
- REAL_CONST(2494.783945/8.0),
- REAL_CONST(2504.211560/8.0),
- REAL_CONST(2513.648057/8.0),
- REAL_CONST(2523.093418/8.0),
- REAL_CONST(2532.547627/8.0),
- REAL_CONST(2542.010668/8.0),
- REAL_CONST(2551.482524/8.0),
- REAL_CONST(2560.963179/8.0),
- REAL_CONST(2570.452617/8.0),
- REAL_CONST(2579.950820/8.0),
- REAL_CONST(2589.457774/8.0),
- REAL_CONST(2598.973461/8.0),
- REAL_CONST(2608.497867/8.0),
- REAL_CONST(2618.030975/8.0),
- REAL_CONST(2627.572769/8.0),
- REAL_CONST(2637.123233/8.0),
- REAL_CONST(2646.682352/8.0),
- REAL_CONST(2656.250110/8.0),
- REAL_CONST(2665.826492/8.0),
- REAL_CONST(2675.411482/8.0),
- REAL_CONST(2685.005064/8.0),
- REAL_CONST(2694.607223/8.0),
- REAL_CONST(2704.217944/8.0),
- REAL_CONST(2713.837212/8.0),
- REAL_CONST(2723.465012/8.0),
- REAL_CONST(2733.101328/8.0),
- REAL_CONST(2742.746145/8.0),
- REAL_CONST(2752.399449/8.0),
- REAL_CONST(2762.061224/8.0),
- REAL_CONST(2771.731456/8.0),
- REAL_CONST(2781.410129/8.0),
- REAL_CONST(2791.097231/8.0),
- REAL_CONST(2800.792744/8.0),
- REAL_CONST(2810.496656/8.0),
- REAL_CONST(2820.208951/8.0),
- REAL_CONST(2829.929616/8.0),
- REAL_CONST(2839.658635/8.0),
- REAL_CONST(2849.395994/8.0),
- REAL_CONST(2859.141679/8.0),
- REAL_CONST(2868.895677/8.0),
- REAL_CONST(2878.657972/8.0),
- REAL_CONST(2888.428550/8.0),
- REAL_CONST(2898.207399/8.0),
- REAL_CONST(2907.994503/8.0),
- REAL_CONST(2917.789849/8.0),
- REAL_CONST(2927.593423/8.0),
- REAL_CONST(2937.405211/8.0),
- REAL_CONST(2947.225199/8.0),
- REAL_CONST(2957.053374/8.0),
- REAL_CONST(2966.889722/8.0),
- REAL_CONST(2976.734230/8.0),
- REAL_CONST(2986.586884/8.0),
- REAL_CONST(2996.447670/8.0),
- REAL_CONST(3006.316576/8.0),
- REAL_CONST(3016.193588/8.0),
- REAL_CONST(3026.078692/8.0),
- REAL_CONST(3035.971875/8.0),
- REAL_CONST(3045.873125/8.0),
- REAL_CONST(3055.782428/8.0),
- REAL_CONST(3065.699771/8.0),
- REAL_CONST(3075.625140/8.0),
- REAL_CONST(3085.558524/8.0),
- REAL_CONST(3095.499909/8.0),
- REAL_CONST(3105.449282/8.0),
- REAL_CONST(3115.406631/8.0),
- REAL_CONST(3125.371943/8.0),
- REAL_CONST(3135.345204/8.0),
- REAL_CONST(3145.326403/8.0),
- REAL_CONST(3155.315526/8.0),
- REAL_CONST(3165.312562/8.0),
- REAL_CONST(3175.317497/8.0),
- REAL_CONST(3185.330320/8.0),
- REAL_CONST(3195.351017/8.0),
- REAL_CONST(3205.379577/8.0),
- REAL_CONST(3215.415987/8.0),
- REAL_CONST(3225.460235/8.0),
- REAL_CONST(3235.512308/8.0),
- REAL_CONST(3245.572195/8.0),
- REAL_CONST(3255.639884/8.0),
- REAL_CONST(3265.715361/8.0),
- REAL_CONST(3275.798616/8.0),
- REAL_CONST(3285.889637/8.0),
- REAL_CONST(3295.988410/8.0),
- REAL_CONST(3306.094926/8.0),
- REAL_CONST(3316.209171/8.0),
- REAL_CONST(3326.331133/8.0),
- REAL_CONST(3336.460802/8.0),
- REAL_CONST(3346.598165/8.0),
- REAL_CONST(3356.743211/8.0),
- REAL_CONST(3366.895929/8.0),
- REAL_CONST(3377.056305/8.0),
- REAL_CONST(3387.224330/8.0),
- REAL_CONST(3397.399991/8.0),
- REAL_CONST(3407.583277/8.0),
- REAL_CONST(3417.774177/8.0),
- REAL_CONST(3427.972680/8.0),
- REAL_CONST(3438.178773/8.0),
- REAL_CONST(3448.392446/8.0),
- REAL_CONST(3458.613687/8.0),
- REAL_CONST(3468.842486/8.0),
- REAL_CONST(3479.078831/8.0),
- REAL_CONST(3489.322711/8.0),
- REAL_CONST(3499.574115/8.0),
- REAL_CONST(3509.833032/8.0),
- REAL_CONST(3520.099451/8.0),
- REAL_CONST(3530.373360/8.0),
- REAL_CONST(3540.654750/8.0),
- REAL_CONST(3550.943610/8.0),
- REAL_CONST(3561.239927/8.0),
- REAL_CONST(3571.543692/8.0),
- REAL_CONST(3581.854894/8.0),
- REAL_CONST(3592.173523/8.0),
- REAL_CONST(3602.499566/8.0),
- REAL_CONST(3612.833015/8.0),
- REAL_CONST(3623.173857/8.0),
- REAL_CONST(3633.522084/8.0),
- REAL_CONST(3643.877683/8.0),
- REAL_CONST(3654.240646/8.0),
- REAL_CONST(3664.610960/8.0),
- REAL_CONST(3674.988617/8.0),
- REAL_CONST(3685.373604/8.0),
- REAL_CONST(3695.765913/8.0),
- REAL_CONST(3706.165533/8.0),
- REAL_CONST(3716.572453/8.0),
- REAL_CONST(3726.986664/8.0),
- REAL_CONST(3737.408154/8.0),
- REAL_CONST(3747.836915/8.0),
- REAL_CONST(3758.272936/8.0),
- REAL_CONST(3768.716206/8.0),
- REAL_CONST(3779.166716/8.0),
- REAL_CONST(3789.624455/8.0),
- REAL_CONST(3800.089415/8.0),
- REAL_CONST(3810.561584/8.0),
- REAL_CONST(3821.040953/8.0),
- REAL_CONST(3831.527512/8.0),
- REAL_CONST(3842.021251/8.0),
- REAL_CONST(3852.522160/8.0),
- REAL_CONST(3863.030230/8.0),
- REAL_CONST(3873.545451/8.0),
- REAL_CONST(3884.067812/8.0),
- REAL_CONST(3894.597305/8.0),
- REAL_CONST(3905.133920/8.0),
- REAL_CONST(3915.677647/8.0),
- REAL_CONST(3926.228477/8.0),
- REAL_CONST(3936.786399/8.0),
- REAL_CONST(3947.351405/8.0),
- REAL_CONST(3957.923485/8.0),
- REAL_CONST(3968.502630/8.0),
- REAL_CONST(3979.088830/8.0),
- REAL_CONST(3989.682075/8.0),
- REAL_CONST(4000.282357/8.0),
- REAL_CONST(4010.889666/8.0),
- REAL_CONST(4021.503992/8.0),
- REAL_CONST(4032.125327/8.0),
- REAL_CONST(4042.753661/8.0),
- REAL_CONST(4053.388986/8.0),
- REAL_CONST(4064.031291/8.0),
- REAL_CONST(4074.680568/8.0),
- REAL_CONST(4085.336807/8.0),
- REAL_CONST(4096.000000/8.0),
- REAL_CONST(4106.670137/8.0),
- REAL_CONST(4117.347210/8.0),
- REAL_CONST(4128.031209/8.0),
- REAL_CONST(4138.722126/8.0),
- REAL_CONST(4149.419951/8.0),
- REAL_CONST(4160.124676/8.0),
- REAL_CONST(4170.836292/8.0),
- REAL_CONST(4181.554789/8.0),
- REAL_CONST(4192.280159/8.0),
- REAL_CONST(4203.012394/8.0),
- REAL_CONST(4213.751484/8.0),
- REAL_CONST(4224.497421/8.0),
- REAL_CONST(4235.250196/8.0),
- REAL_CONST(4246.009800/8.0),
- REAL_CONST(4256.776225/8.0),
- REAL_CONST(4267.549462/8.0),
- REAL_CONST(4278.329502/8.0),
- REAL_CONST(4289.116337/8.0),
- REAL_CONST(4299.909959/8.0),
- REAL_CONST(4310.710358/8.0),
- REAL_CONST(4321.517527/8.0),
- REAL_CONST(4332.331456/8.0),
- REAL_CONST(4343.152138/8.0),
- REAL_CONST(4353.979564/8.0),
- REAL_CONST(4364.813725/8.0),
- REAL_CONST(4375.654614/8.0),
- REAL_CONST(4386.502221/8.0),
- REAL_CONST(4397.356539/8.0),
- REAL_CONST(4408.217559/8.0),
- REAL_CONST(4419.085273/8.0),
- REAL_CONST(4429.959673/8.0),
- REAL_CONST(4440.840751/8.0),
- REAL_CONST(4451.728498/8.0),
- REAL_CONST(4462.622906/8.0),
- REAL_CONST(4473.523967/8.0),
- REAL_CONST(4484.431673/8.0),
- REAL_CONST(4495.346016/8.0),
- REAL_CONST(4506.266988/8.0),
- REAL_CONST(4517.194581/8.0),
- REAL_CONST(4528.128786/8.0),
- REAL_CONST(4539.069597/8.0),
- REAL_CONST(4550.017004/8.0),
- REAL_CONST(4560.971000/8.0),
- REAL_CONST(4571.931576/8.0),
- REAL_CONST(4582.898726/8.0),
- REAL_CONST(4593.872441/8.0),
- REAL_CONST(4604.852714/8.0),
- REAL_CONST(4615.839536/8.0),
- REAL_CONST(4626.832899/8.0),
- REAL_CONST(4637.832797/8.0),
- REAL_CONST(4648.839221/8.0),
- REAL_CONST(4659.852163/8.0),
- REAL_CONST(4670.871616/8.0),
- REAL_CONST(4681.897572/8.0),
- REAL_CONST(4692.930024/8.0),
- REAL_CONST(4703.968963/8.0),
- REAL_CONST(4715.014383/8.0),
- REAL_CONST(4726.066275/8.0),
- REAL_CONST(4737.124632/8.0),
- REAL_CONST(4748.189446/8.0),
- REAL_CONST(4759.260711/8.0),
- REAL_CONST(4770.338417/8.0),
- REAL_CONST(4781.422559/8.0),
- REAL_CONST(4792.513128/8.0),
- REAL_CONST(4803.610117/8.0),
- REAL_CONST(4814.713519/8.0),
- REAL_CONST(4825.823326/8.0),
- REAL_CONST(4836.939531/8.0),
- REAL_CONST(4848.062126/8.0),
- REAL_CONST(4859.191105/8.0),
- REAL_CONST(4870.326459/8.0),
- REAL_CONST(4881.468181/8.0),
- REAL_CONST(4892.616265/8.0),
- REAL_CONST(4903.770703/8.0),
- REAL_CONST(4914.931488/8.0),
- REAL_CONST(4926.098612/8.0),
- REAL_CONST(4937.272069/8.0),
- REAL_CONST(4948.451851/8.0),
- REAL_CONST(4959.637951/8.0),
- REAL_CONST(4970.830361/8.0),
- REAL_CONST(4982.029076/8.0),
- REAL_CONST(4993.234087/8.0),
- REAL_CONST(5004.445388/8.0),
- REAL_CONST(5015.662972/8.0),
- REAL_CONST(5026.886831/8.0),
- REAL_CONST(5038.116959/8.0),
- REAL_CONST(5049.353348/8.0),
- REAL_CONST(5060.595992/8.0),
- REAL_CONST(5071.844883/8.0),
- REAL_CONST(5083.100016/8.0),
- REAL_CONST(5094.361382/8.0),
- REAL_CONST(5105.628975/8.0),
- REAL_CONST(5116.902788/8.0),
- REAL_CONST(5128.182814/8.0),
- REAL_CONST(5139.469046/8.0),
- REAL_CONST(5150.761478/8.0),
- REAL_CONST(5162.060103/8.0),
- REAL_CONST(5173.364914/8.0),
- REAL_CONST(5184.675904/8.0),
- REAL_CONST(5195.993066/8.0),
- REAL_CONST(5207.316394/8.0),
- REAL_CONST(5218.645881/8.0),
- REAL_CONST(5229.981521/8.0),
- REAL_CONST(5241.323306/8.0),
- REAL_CONST(5252.671230/8.0),
- REAL_CONST(5264.025286/8.0),
- REAL_CONST(5275.385468/8.0),
- REAL_CONST(5286.751770/8.0),
- REAL_CONST(5298.124183/8.0),
- REAL_CONST(5309.502703/8.0),
- REAL_CONST(5320.887323/8.0),
- REAL_CONST(5332.278035/8.0),
- REAL_CONST(5343.674833/8.0),
- REAL_CONST(5355.077712/8.0),
- REAL_CONST(5366.486664/8.0),
- REAL_CONST(5377.901683/8.0),
- REAL_CONST(5389.322762/8.0),
- REAL_CONST(5400.749896/8.0),
- REAL_CONST(5412.183077/8.0),
- REAL_CONST(5423.622300/8.0),
- REAL_CONST(5435.067557/8.0),
- REAL_CONST(5446.518843/8.0),
- REAL_CONST(5457.976152/8.0),
- REAL_CONST(5469.439476/8.0),
- REAL_CONST(5480.908810/8.0),
- REAL_CONST(5492.384147/8.0),
- REAL_CONST(5503.865481/8.0),
- REAL_CONST(5515.352806/8.0),
- REAL_CONST(5526.846116/8.0),
- REAL_CONST(5538.345404/8.0),
- REAL_CONST(5549.850664/8.0),
- REAL_CONST(5561.361890/8.0),
- REAL_CONST(5572.879076/8.0),
- REAL_CONST(5584.402215/8.0),
- REAL_CONST(5595.931301/8.0),
- REAL_CONST(5607.466329/8.0),
- REAL_CONST(5619.007292/8.0),
- REAL_CONST(5630.554185/8.0),
- REAL_CONST(5642.107000/8.0),
- REAL_CONST(5653.665732/8.0),
- REAL_CONST(5665.230375/8.0),
- REAL_CONST(5676.800923/8.0),
- REAL_CONST(5688.377370/8.0),
- REAL_CONST(5699.959709/8.0),
- REAL_CONST(5711.547936/8.0),
- REAL_CONST(5723.142043/8.0),
- REAL_CONST(5734.742025/8.0),
- REAL_CONST(5746.347876/8.0),
- REAL_CONST(5757.959590/8.0),
- REAL_CONST(5769.577162/8.0),
- REAL_CONST(5781.200584/8.0),
- REAL_CONST(5792.829852/8.0),
- REAL_CONST(5804.464959/8.0),
- REAL_CONST(5816.105900/8.0),
- REAL_CONST(5827.752668/8.0),
- REAL_CONST(5839.405259/8.0),
- REAL_CONST(5851.063665/8.0),
- REAL_CONST(5862.727882/8.0),
- REAL_CONST(5874.397904/8.0),
- REAL_CONST(5886.073724/8.0),
- REAL_CONST(5897.755337/8.0),
- REAL_CONST(5909.442738/8.0),
- REAL_CONST(5921.135920/8.0),
- REAL_CONST(5932.834878/8.0),
- REAL_CONST(5944.539606/8.0),
- REAL_CONST(5956.250098/8.0),
- REAL_CONST(5967.966350/8.0),
- REAL_CONST(5979.688354/8.0),
- REAL_CONST(5991.416106/8.0),
- REAL_CONST(6003.149600/8.0),
- REAL_CONST(6014.888830/8.0),
- REAL_CONST(6026.633791/8.0),
- REAL_CONST(6038.384476/8.0),
- REAL_CONST(6050.140882/8.0),
- REAL_CONST(6061.903001/8.0),
- REAL_CONST(6073.670828/8.0),
- REAL_CONST(6085.444359/8.0),
- REAL_CONST(6097.223586/8.0),
- REAL_CONST(6109.008506/8.0),
- REAL_CONST(6120.799112/8.0),
- REAL_CONST(6132.595399/8.0),
- REAL_CONST(6144.397361/8.0),
- REAL_CONST(6156.204993/8.0),
- REAL_CONST(6168.018289/8.0),
- REAL_CONST(6179.837245/8.0),
- REAL_CONST(6191.661854/8.0),
- REAL_CONST(6203.492112/8.0),
- REAL_CONST(6215.328012/8.0),
- REAL_CONST(6227.169550/8.0),
- REAL_CONST(6239.016720/8.0),
- REAL_CONST(6250.869517/8.0),
- REAL_CONST(6262.727935/8.0),
- REAL_CONST(6274.591969/8.0),
- REAL_CONST(6286.461614/8.0),
- REAL_CONST(6298.336865/8.0),
- REAL_CONST(6310.217716/8.0),
- REAL_CONST(6322.104162/8.0),
- REAL_CONST(6333.996197/8.0),
- REAL_CONST(6345.893817/8.0),
- REAL_CONST(6357.797016/8.0),
- REAL_CONST(6369.705789/8.0),
- REAL_CONST(6381.620131/8.0),
- REAL_CONST(6393.540036/8.0),
- REAL_CONST(6405.465500/8.0),
- REAL_CONST(6417.396517/8.0),
- REAL_CONST(6429.333082/8.0),
- REAL_CONST(6441.275190/8.0),
- REAL_CONST(6453.222835/8.0),
- REAL_CONST(6465.176013/8.0),
- REAL_CONST(6477.134719/8.0),
- REAL_CONST(6489.098947/8.0),
- REAL_CONST(6501.068692/8.0),
- REAL_CONST(6513.043949/8.0),
- REAL_CONST(6525.024714/8.0),
- REAL_CONST(6537.010981/8.0),
- REAL_CONST(6549.002744/8.0),
- REAL_CONST(6561.000000/8.0),
- REAL_CONST(6573.002743/8.0),
- REAL_CONST(6585.010967/8.0),
- REAL_CONST(6597.024669/8.0),
- REAL_CONST(6609.043842/8.0),
- REAL_CONST(6621.068483/8.0),
- REAL_CONST(6633.098585/8.0),
- REAL_CONST(6645.134145/8.0),
- REAL_CONST(6657.175157/8.0),
- REAL_CONST(6669.221616/8.0),
- REAL_CONST(6681.273517/8.0),
- REAL_CONST(6693.330855/8.0),
- REAL_CONST(6705.393626/8.0),
- REAL_CONST(6717.461825/8.0),
- REAL_CONST(6729.535446/8.0),
- REAL_CONST(6741.614485/8.0),
- REAL_CONST(6753.698937/8.0),
- REAL_CONST(6765.788798/8.0),
- REAL_CONST(6777.884061/8.0),
- REAL_CONST(6789.984723/8.0),
- REAL_CONST(6802.090779/8.0),
- REAL_CONST(6814.202223/8.0),
- REAL_CONST(6826.319052/8.0),
- REAL_CONST(6838.441259/8.0),
- REAL_CONST(6850.568842/8.0),
- REAL_CONST(6862.701794/8.0),
- REAL_CONST(6874.840111/8.0),
- REAL_CONST(6886.983788/8.0),
- REAL_CONST(6899.132821/8.0),
- REAL_CONST(6911.287205/8.0),
- REAL_CONST(6923.446935/8.0),
- REAL_CONST(6935.612006/8.0),
- REAL_CONST(6947.782414/8.0),
- REAL_CONST(6959.958154/8.0),
- REAL_CONST(6972.139221/8.0),
- REAL_CONST(6984.325611/8.0),
- REAL_CONST(6996.517319/8.0),
- REAL_CONST(7008.714341/8.0),
- REAL_CONST(7020.916672/8.0),
- REAL_CONST(7033.124306/8.0),
- REAL_CONST(7045.337241/8.0),
- REAL_CONST(7057.555470/8.0),
- REAL_CONST(7069.778990/8.0),
- REAL_CONST(7082.007795/8.0),
- REAL_CONST(7094.241882/8.0),
- REAL_CONST(7106.481246/8.0),
- REAL_CONST(7118.725881/8.0),
- REAL_CONST(7130.975785/8.0),
- REAL_CONST(7143.230951/8.0),
- REAL_CONST(7155.491376/8.0),
- REAL_CONST(7167.757056/8.0),
- REAL_CONST(7180.027984/8.0),
- REAL_CONST(7192.304158/8.0),
- REAL_CONST(7204.585573/8.0),
- REAL_CONST(7216.872224/8.0),
- REAL_CONST(7229.164106/8.0),
- REAL_CONST(7241.461216/8.0),
- REAL_CONST(7253.763548/8.0),
- REAL_CONST(7266.071099/8.0),
- REAL_CONST(7278.383864/8.0),
- REAL_CONST(7290.701838/8.0),
- REAL_CONST(7303.025018/8.0),
- REAL_CONST(7315.353398/8.0),
- REAL_CONST(7327.686975/8.0),
- REAL_CONST(7340.025743/8.0),
- REAL_CONST(7352.369699/8.0),
- REAL_CONST(7364.718839/8.0),
- REAL_CONST(7377.073157/8.0),
- REAL_CONST(7389.432650/8.0),
- REAL_CONST(7401.797314/8.0),
- REAL_CONST(7414.167143/8.0),
- REAL_CONST(7426.542134/8.0),
- REAL_CONST(7438.922282/8.0),
- REAL_CONST(7451.307583/8.0),
- REAL_CONST(7463.698033/8.0),
- REAL_CONST(7476.093627/8.0),
- REAL_CONST(7488.494362/8.0),
- REAL_CONST(7500.900233/8.0),
- REAL_CONST(7513.311235/8.0),
- REAL_CONST(7525.727365/8.0),
- REAL_CONST(7538.148618/8.0),
- REAL_CONST(7550.574989/8.0),
- REAL_CONST(7563.006476/8.0),
- REAL_CONST(7575.443073/8.0),
- REAL_CONST(7587.884777/8.0),
- REAL_CONST(7600.331583/8.0),
- REAL_CONST(7612.783487/8.0),
- REAL_CONST(7625.240485/8.0),
- REAL_CONST(7637.702572/8.0),
- REAL_CONST(7650.169745/8.0),
- REAL_CONST(7662.641999/8.0),
- REAL_CONST(7675.119331/8.0),
- REAL_CONST(7687.601736/8.0),
- REAL_CONST(7700.089209/8.0),
- REAL_CONST(7712.581748/8.0),
- REAL_CONST(7725.079347/8.0),
- REAL_CONST(7737.582003/8.0),
- REAL_CONST(7750.089712/8.0),
- REAL_CONST(7762.602469/8.0),
- REAL_CONST(7775.120271/8.0),
- REAL_CONST(7787.643113/8.0),
- REAL_CONST(7800.170991/8.0),
- REAL_CONST(7812.703902/8.0),
- REAL_CONST(7825.241841/8.0),
- REAL_CONST(7837.784804/8.0),
- REAL_CONST(7850.332787/8.0),
- REAL_CONST(7862.885787/8.0),
- REAL_CONST(7875.443798/8.0),
- REAL_CONST(7888.006818/8.0),
- REAL_CONST(7900.574842/8.0),
- REAL_CONST(7913.147866/8.0),
- REAL_CONST(7925.725887/8.0),
- REAL_CONST(7938.308900/8.0),
- REAL_CONST(7950.896901/8.0),
- REAL_CONST(7963.489886/8.0),
- REAL_CONST(7976.087852/8.0),
- REAL_CONST(7988.690794/8.0),
- REAL_CONST(8001.298709/8.0),
- REAL_CONST(8013.911593/8.0),
- REAL_CONST(8026.529441/8.0),
- REAL_CONST(8039.152250/8.0),
- REAL_CONST(8051.780016/8.0),
- REAL_CONST(8064.412735/8.0),
- REAL_CONST(8077.050403/8.0),
- REAL_CONST(8089.693017/8.0),
- REAL_CONST(8102.340572/8.0),
- REAL_CONST(8114.993064/8.0),
- REAL_CONST(8127.650490/8.0),
- REAL_CONST(8140.312846/8.0),
- REAL_CONST(8152.980128/8.0),
- REAL_CONST(8165.652333/8.0),
- REAL_CONST(8178.329455/8.0),
- REAL_CONST(8191.011492/8.0),
- REAL_CONST(8203.698440/8.0),
- REAL_CONST(8216.390295/8.0),
- REAL_CONST(8229.087053/8.0),
- REAL_CONST(8241.788711/8.0),
- REAL_CONST(8254.495264/8.0),
- REAL_CONST(8267.206709/8.0),
- REAL_CONST(8279.923042/8.0),
- REAL_CONST(8292.644259/8.0),
- REAL_CONST(8305.370357/8.0),
- REAL_CONST(8318.101332/8.0),
- REAL_CONST(8330.837180/8.0),
- REAL_CONST(8343.577897/8.0),
- REAL_CONST(8356.323480/8.0),
- REAL_CONST(8369.073925/8.0),
- REAL_CONST(8381.829228/8.0),
- REAL_CONST(8394.589385/8.0),
- REAL_CONST(8407.354394/8.0),
- REAL_CONST(8420.124249/8.0),
- REAL_CONST(8432.898948/8.0),
- REAL_CONST(8445.678487/8.0),
- REAL_CONST(8458.462862/8.0),
- REAL_CONST(8471.252070/8.0),
- REAL_CONST(8484.046106/8.0),
- REAL_CONST(8496.844968/8.0),
- REAL_CONST(8509.648651/8.0),
- REAL_CONST(8522.457152/8.0),
- REAL_CONST(8535.270468/8.0),
- REAL_CONST(8548.088594/8.0),
- REAL_CONST(8560.911527/8.0),
- REAL_CONST(8573.739264/8.0),
- REAL_CONST(8586.571801/8.0),
- REAL_CONST(8599.409134/8.0),
- REAL_CONST(8612.251259/8.0),
- REAL_CONST(8625.098174/8.0),
- REAL_CONST(8637.949875/8.0),
- REAL_CONST(8650.806357/8.0),
- REAL_CONST(8663.667618/8.0),
- REAL_CONST(8676.533654/8.0),
- REAL_CONST(8689.404461/8.0),
- REAL_CONST(8702.280037/8.0),
- REAL_CONST(8715.160376/8.0),
- REAL_CONST(8728.045476/8.0),
- REAL_CONST(8740.935334/8.0),
- REAL_CONST(8753.829945/8.0),
- REAL_CONST(8766.729307/8.0),
- REAL_CONST(8779.633415/8.0),
- REAL_CONST(8792.542267/8.0),
- REAL_CONST(8805.455858/8.0),
- REAL_CONST(8818.374186/8.0),
- REAL_CONST(8831.297247/8.0),
- REAL_CONST(8844.225037/8.0),
- REAL_CONST(8857.157553/8.0),
- REAL_CONST(8870.094791/8.0),
- REAL_CONST(8883.036748/8.0),
- REAL_CONST(8895.983422/8.0),
- REAL_CONST(8908.934807/8.0),
- REAL_CONST(8921.890901/8.0),
- REAL_CONST(8934.851700/8.0),
- REAL_CONST(8947.817201/8.0),
- REAL_CONST(8960.787401/8.0),
- REAL_CONST(8973.762296/8.0),
- REAL_CONST(8986.741882/8.0),
- REAL_CONST(8999.726157/8.0),
- REAL_CONST(9012.715117/8.0),
- REAL_CONST(9025.708758/8.0),
- REAL_CONST(9038.707077/8.0),
- REAL_CONST(9051.710072/8.0),
- REAL_CONST(9064.717737/8.0),
- REAL_CONST(9077.730071/8.0),
- REAL_CONST(9090.747070/8.0),
- REAL_CONST(9103.768730/8.0),
- REAL_CONST(9116.795048/8.0),
- REAL_CONST(9129.826021/8.0),
- REAL_CONST(9142.861645/8.0),
- REAL_CONST(9155.901917/8.0),
- REAL_CONST(9168.946835/8.0),
- REAL_CONST(9181.996393/8.0),
- REAL_CONST(9195.050590/8.0),
- REAL_CONST(9208.109422/8.0),
- REAL_CONST(9221.172885/8.0),
- REAL_CONST(9234.240977/8.0),
- REAL_CONST(9247.313694/8.0),
- REAL_CONST(9260.391032/8.0),
- REAL_CONST(9273.472989/8.0),
- REAL_CONST(9286.559562/8.0),
- REAL_CONST(9299.650746/8.0),
- REAL_CONST(9312.746539/8.0),
- REAL_CONST(9325.846938/8.0),
- REAL_CONST(9338.951939/8.0),
- REAL_CONST(9352.061539/8.0),
- REAL_CONST(9365.175734/8.0),
- REAL_CONST(9378.294523/8.0),
- REAL_CONST(9391.417901/8.0),
- REAL_CONST(9404.545865/8.0),
- REAL_CONST(9417.678412/8.0),
- REAL_CONST(9430.815538/8.0),
- REAL_CONST(9443.957242/8.0),
- REAL_CONST(9457.103518/8.0),
- REAL_CONST(9470.254365/8.0),
- REAL_CONST(9483.409779/8.0),
- REAL_CONST(9496.569757/8.0),
- REAL_CONST(9509.734296/8.0),
- REAL_CONST(9522.903392/8.0),
- REAL_CONST(9536.077043/8.0),
- REAL_CONST(9549.255245/8.0),
- REAL_CONST(9562.437995/8.0),
- REAL_CONST(9575.625290/8.0),
- REAL_CONST(9588.817127/8.0),
- REAL_CONST(9602.013503/8.0),
- REAL_CONST(9615.214414/8.0),
- REAL_CONST(9628.419858/8.0),
- REAL_CONST(9641.629831/8.0),
- REAL_CONST(9654.844330/8.0),
- REAL_CONST(9668.063353/8.0),
- REAL_CONST(9681.286896/8.0),
- REAL_CONST(9694.514956/8.0),
- REAL_CONST(9707.747529/8.0),
- REAL_CONST(9720.984614/8.0),
- REAL_CONST(9734.226206/8.0),
- REAL_CONST(9747.472303/8.0),
- REAL_CONST(9760.722902/8.0),
- REAL_CONST(9773.977999/8.0),
- REAL_CONST(9787.237592/8.0),
- REAL_CONST(9800.501677/8.0),
- REAL_CONST(9813.770252/8.0),
- REAL_CONST(9827.043313/8.0),
- REAL_CONST(9840.320858/8.0),
- REAL_CONST(9853.602883/8.0),
- REAL_CONST(9866.889385/8.0),
- REAL_CONST(9880.180361/8.0),
- REAL_CONST(9893.475809/8.0),
- REAL_CONST(9906.775725/8.0),
- REAL_CONST(9920.080107/8.0),
- REAL_CONST(9933.388951/8.0),
- REAL_CONST(9946.702254/8.0),
- REAL_CONST(9960.020013/8.0),
- REAL_CONST(9973.342226/8.0),
- REAL_CONST(9986.668889/8.0),
- REAL_CONST(10000.000000/8.0),
- REAL_CONST(10013.335555/8.0),
- REAL_CONST(10026.675552/8.0),
- REAL_CONST(10040.019987/8.0),
- REAL_CONST(10053.368857/8.0),
- REAL_CONST(10066.722161/8.0),
- REAL_CONST(10080.079894/8.0),
- REAL_CONST(10093.442053/8.0),
- REAL_CONST(10106.808637/8.0),
- REAL_CONST(10120.179641/8.0),
- REAL_CONST(10133.555064/8.0),
- REAL_CONST(10146.934901/8.0),
- REAL_CONST(10160.319151/8.0),
- REAL_CONST(10173.707810/8.0),
- REAL_CONST(10187.100875/8.0),
- REAL_CONST(10200.498344/8.0),
- REAL_CONST(10213.900213/8.0),
- REAL_CONST(10227.306480/8.0),
- REAL_CONST(10240.717141/8.0),
- REAL_CONST(10254.132195/8.0),
- REAL_CONST(10267.551638/8.0),
- REAL_CONST(10280.975466/8.0),
- REAL_CONST(10294.403678/8.0),
- REAL_CONST(10307.836271/8.0),
- REAL_CONST(10321.273241/8.0),
- REAL_CONST(10334.714585/8.0),
- REAL_CONST(10348.160302/8.0),
- REAL_CONST(10361.610388/8.0),
- REAL_CONST(10375.064840/8.0),
- REAL_CONST(10388.523655/8.0),
- REAL_CONST(10401.986831/8.0),
- REAL_CONST(10415.454364/8.0),
- REAL_CONST(10428.926253/8.0),
- REAL_CONST(10442.402493/8.0),
- REAL_CONST(10455.883083/8.0),
- REAL_CONST(10469.368019/8.0),
- REAL_CONST(10482.857299/8.0),
- REAL_CONST(10496.350920/8.0),
- REAL_CONST(10509.848879/8.0),
- REAL_CONST(10523.351173/8.0),
- REAL_CONST(10536.857800/8.0),
- REAL_CONST(10550.368756/8.0),
- REAL_CONST(10563.884040/8.0),
- REAL_CONST(10577.403647/8.0),
- REAL_CONST(10590.927576/8.0),
- REAL_CONST(10604.455824/8.0),
- REAL_CONST(10617.988388/8.0),
- REAL_CONST(10631.525265/8.0),
- REAL_CONST(10645.066452/8.0),
- REAL_CONST(10658.611947/8.0),
- REAL_CONST(10672.161747/8.0),
- REAL_CONST(10685.715849/8.0),
- REAL_CONST(10699.274250/8.0),
- REAL_CONST(10712.836948/8.0),
- REAL_CONST(10726.403941/8.0),
- REAL_CONST(10739.975224/8.0),
- REAL_CONST(10753.550797/8.0),
- REAL_CONST(10767.130655/8.0),
- REAL_CONST(10780.714796/8.0),
- REAL_CONST(10794.303218/8.0),
- REAL_CONST(10807.895918/8.0),
- REAL_CONST(10821.492892/8.0),
- REAL_CONST(10835.094140/8.0),
- REAL_CONST(10848.699656/8.0),
- REAL_CONST(10862.309440/8.0),
- REAL_CONST(10875.923489/8.0),
- REAL_CONST(10889.541799/8.0),
- REAL_CONST(10903.164368/8.0),
- REAL_CONST(10916.791193/8.0),
- REAL_CONST(10930.422273/8.0),
- REAL_CONST(10944.057603/8.0),
- REAL_CONST(10957.697182/8.0),
- REAL_CONST(10971.341006/8.0),
- REAL_CONST(10984.989074/8.0),
- REAL_CONST(10998.641382/8.0),
- REAL_CONST(11012.297928/8.0),
- REAL_CONST(11025.958709/8.0),
- REAL_CONST(11039.623723/8.0),
- REAL_CONST(11053.292967/8.0),
- REAL_CONST(11066.966438/8.0),
- REAL_CONST(11080.644134/8.0),
- REAL_CONST(11094.326053/8.0),
- REAL_CONST(11108.012190/8.0),
- REAL_CONST(11121.702545/8.0),
- REAL_CONST(11135.397114/8.0),
- REAL_CONST(11149.095895/8.0),
- REAL_CONST(11162.798885/8.0),
- REAL_CONST(11176.506082/8.0),
- REAL_CONST(11190.217483/8.0),
- REAL_CONST(11203.933085/8.0),
- REAL_CONST(11217.652886/8.0),
- REAL_CONST(11231.376883/8.0),
- REAL_CONST(11245.105074/8.0),
- REAL_CONST(11258.837456/8.0),
- REAL_CONST(11272.574027/8.0),
- REAL_CONST(11286.314784/8.0),
- REAL_CONST(11300.059724/8.0),
- REAL_CONST(11313.808846/8.0),
- REAL_CONST(11327.562145/8.0),
- REAL_CONST(11341.319621/8.0),
- REAL_CONST(11355.081270/8.0),
- REAL_CONST(11368.847090/8.0),
- REAL_CONST(11382.617078/8.0),
- REAL_CONST(11396.391232/8.0),
- REAL_CONST(11410.169549/8.0),
- REAL_CONST(11423.952027/8.0),
- REAL_CONST(11437.738663/8.0),
- REAL_CONST(11451.529455/8.0),
- REAL_CONST(11465.324400/8.0),
- REAL_CONST(11479.123496/8.0),
- REAL_CONST(11492.926740/8.0),
- REAL_CONST(11506.734130/8.0),
- REAL_CONST(11520.545663/8.0),
- REAL_CONST(11534.361337/8.0),
- REAL_CONST(11548.181150/8.0),
- REAL_CONST(11562.005097/8.0),
- REAL_CONST(11575.833179/8.0),
- REAL_CONST(11589.665391/8.0),
- REAL_CONST(11603.501732/8.0),
- REAL_CONST(11617.342198/8.0),
- REAL_CONST(11631.186788/8.0),
- REAL_CONST(11645.035499/8.0),
- REAL_CONST(11658.888329/8.0),
- REAL_CONST(11672.745275/8.0),
- REAL_CONST(11686.606334/8.0),
- REAL_CONST(11700.471505/8.0),
- REAL_CONST(11714.340784/8.0),
- REAL_CONST(11728.214170/8.0),
- REAL_CONST(11742.091660/8.0),
- REAL_CONST(11755.973251/8.0),
- REAL_CONST(11769.858942/8.0),
- REAL_CONST(11783.748729/8.0),
- REAL_CONST(11797.642610/8.0),
- REAL_CONST(11811.540583/8.0),
- REAL_CONST(11825.442646/8.0),
- REAL_CONST(11839.348796/8.0),
- REAL_CONST(11853.259030/8.0),
- REAL_CONST(11867.173347/8.0),
- REAL_CONST(11881.091743/8.0),
- REAL_CONST(11895.014217/8.0),
- REAL_CONST(11908.940766/8.0),
- REAL_CONST(11922.871387/8.0),
- REAL_CONST(11936.806079/8.0),
- REAL_CONST(11950.744839/8.0),
- REAL_CONST(11964.687665/8.0),
- REAL_CONST(11978.634553/8.0),
- REAL_CONST(11992.585503/8.0),
- REAL_CONST(12006.540511/8.0),
- REAL_CONST(12020.499575/8.0),
- REAL_CONST(12034.462692/8.0),
- REAL_CONST(12048.429861/8.0),
- REAL_CONST(12062.401080/8.0),
- REAL_CONST(12076.376345/8.0),
- REAL_CONST(12090.355654/8.0),
- REAL_CONST(12104.339005/8.0),
- REAL_CONST(12118.326396/8.0),
- REAL_CONST(12132.317824/8.0),
- REAL_CONST(12146.313287/8.0),
- REAL_CONST(12160.312783/8.0),
- REAL_CONST(12174.316310/8.0),
- REAL_CONST(12188.323864/8.0),
- REAL_CONST(12202.335444/8.0),
- REAL_CONST(12216.351048/8.0),
- REAL_CONST(12230.370673/8.0),
- REAL_CONST(12244.394316/8.0),
- REAL_CONST(12258.421976/8.0),
- REAL_CONST(12272.453650/8.0),
- REAL_CONST(12286.489336/8.0),
- REAL_CONST(12300.529032/8.0),
- REAL_CONST(12314.572735/8.0),
- REAL_CONST(12328.620443/8.0),
- REAL_CONST(12342.672154/8.0),
- REAL_CONST(12356.727866/8.0),
- REAL_CONST(12370.787575/8.0),
- REAL_CONST(12384.851281/8.0),
- REAL_CONST(12398.918980/8.0),
- REAL_CONST(12412.990671/8.0),
- REAL_CONST(12427.066351/8.0),
- REAL_CONST(12441.146017/8.0),
- REAL_CONST(12455.229668/8.0),
- REAL_CONST(12469.317302/8.0),
- REAL_CONST(12483.408916/8.0),
- REAL_CONST(12497.504507/8.0),
- REAL_CONST(12511.604075/8.0),
- REAL_CONST(12525.707615/8.0),
- REAL_CONST(12539.815127/8.0),
- REAL_CONST(12553.926608/8.0),
- REAL_CONST(12568.042055/8.0),
- REAL_CONST(12582.161467/8.0),
- REAL_CONST(12596.284841/8.0),
- REAL_CONST(12610.412175/8.0),
- REAL_CONST(12624.543467/8.0),
- REAL_CONST(12638.678715/8.0),
- REAL_CONST(12652.817915/8.0),
- REAL_CONST(12666.961067/8.0),
- REAL_CONST(12681.108168/8.0),
- REAL_CONST(12695.259216/8.0),
- REAL_CONST(12709.414208/8.0),
- REAL_CONST(12723.573143/8.0),
- REAL_CONST(12737.736018/8.0),
- REAL_CONST(12751.902830/8.0),
- REAL_CONST(12766.073579/8.0),
- REAL_CONST(12780.248261/8.0),
- REAL_CONST(12794.426874/8.0),
- REAL_CONST(12808.609417/8.0),
- REAL_CONST(12822.795886/8.0),
- REAL_CONST(12836.986281/8.0),
- REAL_CONST(12851.180598/8.0),
- REAL_CONST(12865.378836/8.0),
- REAL_CONST(12879.580992/8.0),
- REAL_CONST(12893.787065/8.0),
- REAL_CONST(12907.997051/8.0),
- REAL_CONST(12922.210950/8.0),
- REAL_CONST(12936.428758/8.0),
- REAL_CONST(12950.650474/8.0),
- REAL_CONST(12964.876095/8.0),
- REAL_CONST(12979.105619/8.0),
- REAL_CONST(12993.339045/8.0),
- REAL_CONST(13007.576370/8.0),
- REAL_CONST(13021.817591/8.0),
- REAL_CONST(13036.062708/8.0),
- REAL_CONST(13050.311717/8.0),
- REAL_CONST(13064.564616/8.0),
- REAL_CONST(13078.821404/8.0),
- REAL_CONST(13093.082079/8.0),
- REAL_CONST(13107.346637/8.0),
- REAL_CONST(13121.615077/8.0),
- REAL_CONST(13135.887398/8.0),
- REAL_CONST(13150.163596/8.0),
- REAL_CONST(13164.443670/8.0),
- REAL_CONST(13178.727617/8.0),
- REAL_CONST(13193.015436/8.0),
- REAL_CONST(13207.307125/8.0),
- REAL_CONST(13221.602680/8.0),
- REAL_CONST(13235.902101/8.0),
- REAL_CONST(13250.205385/8.0),
- REAL_CONST(13264.512531/8.0),
- REAL_CONST(13278.823535/8.0),
- REAL_CONST(13293.138396/8.0),
- REAL_CONST(13307.457112/8.0),
- REAL_CONST(13321.779680/8.0),
- REAL_CONST(13336.106100/8.0),
- REAL_CONST(13350.436367/8.0),
- REAL_CONST(13364.770482/8.0),
- REAL_CONST(13379.108441/8.0),
- REAL_CONST(13393.450242/8.0),
- REAL_CONST(13407.795884/8.0),
- REAL_CONST(13422.145364/8.0),
- REAL_CONST(13436.498680/8.0),
- REAL_CONST(13450.855830/8.0),
- REAL_CONST(13465.216813/8.0),
- REAL_CONST(13479.581625/8.0),
- REAL_CONST(13493.950266/8.0),
- REAL_CONST(13508.322733/8.0),
- REAL_CONST(13522.699024/8.0),
- REAL_CONST(13537.079136/8.0),
- REAL_CONST(13551.463069/8.0),
- REAL_CONST(13565.850819/8.0),
- REAL_CONST(13580.242386/8.0),
- REAL_CONST(13594.637766/8.0),
- REAL_CONST(13609.036958/8.0),
- REAL_CONST(13623.439960/8.0),
- REAL_CONST(13637.846770/8.0),
- REAL_CONST(13652.257385/8.0),
- REAL_CONST(13666.671804/8.0),
- REAL_CONST(13681.090025/8.0),
- REAL_CONST(13695.512046/8.0),
- REAL_CONST(13709.937865/8.0),
- REAL_CONST(13724.367479/8.0),
- REAL_CONST(13738.800887/8.0),
- REAL_CONST(13753.238087/8.0),
- REAL_CONST(13767.679077/8.0),
- REAL_CONST(13782.123854/8.0),
- REAL_CONST(13796.572417/8.0),
- REAL_CONST(13811.024765/8.0),
- REAL_CONST(13825.480893/8.0),
- REAL_CONST(13839.940802/8.0),
- REAL_CONST(13854.404489/8.0),
- REAL_CONST(13868.871952/8.0),
- REAL_CONST(13883.343188/8.0),
- REAL_CONST(13897.818197/8.0),
- REAL_CONST(13912.296976/8.0),
- REAL_CONST(13926.779522/8.0),
- REAL_CONST(13941.265835/8.0),
- REAL_CONST(13955.755912/8.0),
- REAL_CONST(13970.249751/8.0),
- REAL_CONST(13984.747351/8.0),
- REAL_CONST(13999.248708/8.0),
- REAL_CONST(14013.753822/8.0),
- REAL_CONST(14028.262691/8.0),
- REAL_CONST(14042.775312/8.0),
- REAL_CONST(14057.291683/8.0),
- REAL_CONST(14071.811803/8.0),
- REAL_CONST(14086.335669/8.0),
- REAL_CONST(14100.863281/8.0),
- REAL_CONST(14115.394635/8.0),
- REAL_CONST(14129.929730/8.0),
- REAL_CONST(14144.468564/8.0),
- REAL_CONST(14159.011135/8.0),
- REAL_CONST(14173.557441/8.0),
- REAL_CONST(14188.107480/8.0),
- REAL_CONST(14202.661250/8.0),
- REAL_CONST(14217.218750/8.0),
- REAL_CONST(14231.779977/8.0),
- REAL_CONST(14246.344930/8.0),
- REAL_CONST(14260.913606/8.0),
- REAL_CONST(14275.486004/8.0),
- REAL_CONST(14290.062122/8.0),
- REAL_CONST(14304.641958/8.0),
- REAL_CONST(14319.225510/8.0),
- REAL_CONST(14333.812776/8.0),
- REAL_CONST(14348.403754/8.0),
- REAL_CONST(14362.998443/8.0),
- REAL_CONST(14377.596840/8.0),
- REAL_CONST(14392.198943/8.0),
- REAL_CONST(14406.804752/8.0),
- REAL_CONST(14421.414263/8.0),
- REAL_CONST(14436.027475/8.0),
- REAL_CONST(14450.644386/8.0),
- REAL_CONST(14465.264995/8.0),
- REAL_CONST(14479.889298/8.0),
- REAL_CONST(14494.517296/8.0),
- REAL_CONST(14509.148984/8.0),
- REAL_CONST(14523.784363/8.0),
- REAL_CONST(14538.423430/8.0),
- REAL_CONST(14553.066182/8.0),
- REAL_CONST(14567.712619/8.0),
- REAL_CONST(14582.362738/8.0),
- REAL_CONST(14597.016537/8.0),
- REAL_CONST(14611.674015/8.0),
- REAL_CONST(14626.335170/8.0),
- REAL_CONST(14641.000000/8.0),
- REAL_CONST(14655.668503/8.0),
- REAL_CONST(14670.340677/8.0),
- REAL_CONST(14685.016521/8.0),
- REAL_CONST(14699.696032/8.0),
- REAL_CONST(14714.379209/8.0),
- REAL_CONST(14729.066050/8.0),
- REAL_CONST(14743.756553/8.0),
- REAL_CONST(14758.450716/8.0),
- REAL_CONST(14773.148537/8.0),
- REAL_CONST(14787.850016/8.0),
- REAL_CONST(14802.555149/8.0),
- REAL_CONST(14817.263935/8.0),
- REAL_CONST(14831.976372/8.0),
- REAL_CONST(14846.692459/8.0),
- REAL_CONST(14861.412193/8.0),
- REAL_CONST(14876.135573/8.0),
- REAL_CONST(14890.862597/8.0),
- REAL_CONST(14905.593263/8.0),
- REAL_CONST(14920.327569/8.0),
- REAL_CONST(14935.065514/8.0),
- REAL_CONST(14949.807096/8.0),
- REAL_CONST(14964.552313/8.0),
- REAL_CONST(14979.301163/8.0),
- REAL_CONST(14994.053644/8.0),
- REAL_CONST(15008.809755/8.0),
- REAL_CONST(15023.569493/8.0),
- REAL_CONST(15038.332858/8.0),
- REAL_CONST(15053.099847/8.0),
- REAL_CONST(15067.870458/8.0),
- REAL_CONST(15082.644690/8.0),
- REAL_CONST(15097.422541/8.0),
- REAL_CONST(15112.204010/8.0),
- REAL_CONST(15126.989093/8.0),
- REAL_CONST(15141.777790/8.0),
- REAL_CONST(15156.570099/8.0),
- REAL_CONST(15171.366018/8.0),
- REAL_CONST(15186.165546/8.0),
- REAL_CONST(15200.968679/8.0),
- REAL_CONST(15215.775418/8.0),
- REAL_CONST(15230.585760/8.0),
- REAL_CONST(15245.399703/8.0),
- REAL_CONST(15260.217246/8.0),
- REAL_CONST(15275.038386/8.0),
- REAL_CONST(15289.863123/8.0),
- REAL_CONST(15304.691453/8.0),
- REAL_CONST(15319.523377/8.0),
- REAL_CONST(15334.358891/8.0),
- REAL_CONST(15349.197994/8.0),
- REAL_CONST(15364.040685/8.0),
- REAL_CONST(15378.886961/8.0),
- REAL_CONST(15393.736821/8.0),
- REAL_CONST(15408.590264/8.0),
- REAL_CONST(15423.447287/8.0),
- REAL_CONST(15438.307888/8.0),
- REAL_CONST(15453.172066/8.0),
- REAL_CONST(15468.039820/8.0),
- REAL_CONST(15482.911148/8.0),
- REAL_CONST(15497.786047/8.0),
- REAL_CONST(15512.664516/8.0),
- REAL_CONST(15527.546554/8.0),
- REAL_CONST(15542.432158/8.0),
- REAL_CONST(15557.321327/8.0),
- REAL_CONST(15572.214060/8.0),
- REAL_CONST(15587.110354/8.0),
- REAL_CONST(15602.010208/8.0),
- REAL_CONST(15616.913620/8.0),
- REAL_CONST(15631.820589/8.0),
- REAL_CONST(15646.731113/8.0),
- REAL_CONST(15661.645189/8.0),
- REAL_CONST(15676.562817/8.0),
- REAL_CONST(15691.483995/8.0),
- REAL_CONST(15706.408720/8.0),
- REAL_CONST(15721.336993/8.0),
- REAL_CONST(15736.268809/8.0),
- REAL_CONST(15751.204169/8.0),
- REAL_CONST(15766.143070/8.0),
- REAL_CONST(15781.085510/8.0),
- REAL_CONST(15796.031489/8.0),
- REAL_CONST(15810.981003/8.0),
- REAL_CONST(15825.934053/8.0),
- REAL_CONST(15840.890635/8.0),
- REAL_CONST(15855.850748/8.0),
- REAL_CONST(15870.814391/8.0),
- REAL_CONST(15885.781562/8.0),
- REAL_CONST(15900.752259/8.0),
- REAL_CONST(15915.726481/8.0),
- REAL_CONST(15930.704226/8.0),
- REAL_CONST(15945.685492/8.0),
- REAL_CONST(15960.670278/8.0),
- REAL_CONST(15975.658581/8.0),
- REAL_CONST(15990.650401/8.0),
- REAL_CONST(16005.645736/8.0),
- REAL_CONST(16020.644583/8.0),
- REAL_CONST(16035.646942/8.0),
- REAL_CONST(16050.652811/8.0),
- REAL_CONST(16065.662188/8.0),
- REAL_CONST(16080.675071/8.0),
- REAL_CONST(16095.691459/8.0),
- REAL_CONST(16110.711350/8.0),
- REAL_CONST(16125.734743/8.0),
- REAL_CONST(16140.761636/8.0),
- REAL_CONST(16155.792027/8.0),
- REAL_CONST(16170.825914/8.0),
- REAL_CONST(16185.863297/8.0),
- REAL_CONST(16200.904173/8.0),
- REAL_CONST(16215.948541/8.0),
- REAL_CONST(16230.996399/8.0),
- REAL_CONST(16246.047746/8.0),
- REAL_CONST(16261.102579/8.0),
- REAL_CONST(16276.160898/8.0),
- REAL_CONST(16291.222700/8.0),
- REAL_CONST(16306.287985/8.0),
- REAL_CONST(16321.356750/8.0),
- REAL_CONST(16336.428994/8.0),
- REAL_CONST(16351.504716/8.0),
- REAL_CONST(16366.583913/8.0),
- REAL_CONST(16381.666584/8.0),
- REAL_CONST(16396.752727/8.0),
- REAL_CONST(16411.842341/8.0),
- REAL_CONST(16426.935425/8.0),
- REAL_CONST(16442.031976/8.0),
- REAL_CONST(16457.131994/8.0),
- REAL_CONST(16472.235476/8.0),
- REAL_CONST(16487.342421/8.0),
- REAL_CONST(16502.452827/8.0),
- REAL_CONST(16517.566693/8.0),
- REAL_CONST(16532.684017/8.0),
- REAL_CONST(16547.804797/8.0),
- REAL_CONST(16562.929033/8.0),
- REAL_CONST(16578.056722/8.0),
- REAL_CONST(16593.187863/8.0),
- REAL_CONST(16608.322454/8.0),
- REAL_CONST(16623.460494/8.0),
- REAL_CONST(16638.601981/8.0),
- REAL_CONST(16653.746913/8.0),
- REAL_CONST(16668.895290/8.0),
- REAL_CONST(16684.047109/8.0),
- REAL_CONST(16699.202368/8.0),
- REAL_CONST(16714.361068/8.0),
- REAL_CONST(16729.523204/8.0),
- REAL_CONST(16744.688777/8.0),
- REAL_CONST(16759.857785/8.0),
- REAL_CONST(16775.030226/8.0),
- REAL_CONST(16790.206098/8.0),
- REAL_CONST(16805.385400/8.0),
- REAL_CONST(16820.568131/8.0),
- REAL_CONST(16835.754288/8.0),
- REAL_CONST(16850.943871/8.0),
- REAL_CONST(16866.136877/8.0),
- REAL_CONST(16881.333306/8.0),
- REAL_CONST(16896.533156/8.0),
- REAL_CONST(16911.736424/8.0),
- REAL_CONST(16926.943110/8.0),
- REAL_CONST(16942.153213/8.0),
- REAL_CONST(16957.366730/8.0),
- REAL_CONST(16972.583659/8.0),
- REAL_CONST(16987.804001/8.0),
- REAL_CONST(17003.027752/8.0),
- REAL_CONST(17018.254912/8.0),
- REAL_CONST(17033.485479/8.0),
- REAL_CONST(17048.719451/8.0),
- REAL_CONST(17063.956826/8.0),
- REAL_CONST(17079.197605/8.0),
- REAL_CONST(17094.441784/8.0),
- REAL_CONST(17109.689362/8.0),
- REAL_CONST(17124.940338/8.0),
- REAL_CONST(17140.194711/8.0),
- REAL_CONST(17155.452478/8.0),
- REAL_CONST(17170.713638/8.0),
- REAL_CONST(17185.978190/8.0),
- REAL_CONST(17201.246133/8.0),
- REAL_CONST(17216.517464/8.0),
- REAL_CONST(17231.792182/8.0),
- REAL_CONST(17247.070287/8.0),
- REAL_CONST(17262.351775/8.0),
- REAL_CONST(17277.636646/8.0),
- REAL_CONST(17292.924898/8.0),
- REAL_CONST(17308.216530/8.0),
- REAL_CONST(17323.511541/8.0),
- REAL_CONST(17338.809928/8.0),
- REAL_CONST(17354.111690/8.0),
- REAL_CONST(17369.416826/8.0),
- REAL_CONST(17384.725335/8.0),
- REAL_CONST(17400.037214/8.0),
- REAL_CONST(17415.352462/8.0),
- REAL_CONST(17430.671079/8.0),
- REAL_CONST(17445.993061/8.0),
- REAL_CONST(17461.318409/8.0),
- REAL_CONST(17476.647120/8.0),
- REAL_CONST(17491.979193/8.0),
- REAL_CONST(17507.314626/8.0),
- REAL_CONST(17522.653419/8.0),
- REAL_CONST(17537.995569/8.0),
- REAL_CONST(17553.341074/8.0),
- REAL_CONST(17568.689935/8.0),
- REAL_CONST(17584.042149/8.0),
- REAL_CONST(17599.397714/8.0),
- REAL_CONST(17614.756629/8.0),
- REAL_CONST(17630.118893/8.0),
- REAL_CONST(17645.484505/8.0),
- REAL_CONST(17660.853462/8.0),
- REAL_CONST(17676.225764/8.0),
- REAL_CONST(17691.601408/8.0),
- REAL_CONST(17706.980394/8.0),
- REAL_CONST(17722.362720/8.0),
- REAL_CONST(17737.748384/8.0),
- REAL_CONST(17753.137386/8.0),
- REAL_CONST(17768.529723/8.0),
- REAL_CONST(17783.925394/8.0),
- REAL_CONST(17799.324399/8.0),
- REAL_CONST(17814.726734/8.0),
- REAL_CONST(17830.132399/8.0),
- REAL_CONST(17845.541393/8.0),
- REAL_CONST(17860.953714/8.0),
- REAL_CONST(17876.369360/8.0),
- REAL_CONST(17891.788331/8.0),
- REAL_CONST(17907.210624/8.0),
- REAL_CONST(17922.636238/8.0),
- REAL_CONST(17938.065173/8.0),
- REAL_CONST(17953.497425/8.0),
- REAL_CONST(17968.932995/8.0),
- REAL_CONST(17984.371880/8.0),
- REAL_CONST(17999.814079/8.0),
- REAL_CONST(18015.259591/8.0),
- REAL_CONST(18030.708415/8.0),
- REAL_CONST(18046.160548/8.0),
- REAL_CONST(18061.615990/8.0),
- REAL_CONST(18077.074738/8.0),
- REAL_CONST(18092.536793/8.0),
- REAL_CONST(18108.002151/8.0),
- REAL_CONST(18123.470813/8.0),
- REAL_CONST(18138.942775/8.0),
- REAL_CONST(18154.418038/8.0),
- REAL_CONST(18169.896599/8.0),
- REAL_CONST(18185.378458/8.0),
- REAL_CONST(18200.863612/8.0),
- REAL_CONST(18216.352060/8.0),
- REAL_CONST(18231.843802/8.0),
- REAL_CONST(18247.338835/8.0),
- REAL_CONST(18262.837158/8.0),
- REAL_CONST(18278.338770/8.0),
- REAL_CONST(18293.843670/8.0),
- REAL_CONST(18309.351855/8.0),
- REAL_CONST(18324.863325/8.0),
- REAL_CONST(18340.378078/8.0),
- REAL_CONST(18355.896113/8.0),
- REAL_CONST(18371.417429/8.0),
- REAL_CONST(18386.942023/8.0),
- REAL_CONST(18402.469895/8.0),
- REAL_CONST(18418.001044/8.0),
- REAL_CONST(18433.535467/8.0),
- REAL_CONST(18449.073164/8.0),
- REAL_CONST(18464.614133/8.0),
- REAL_CONST(18480.158372/8.0),
- REAL_CONST(18495.705881/8.0),
- REAL_CONST(18511.256658/8.0),
- REAL_CONST(18526.810702/8.0),
- REAL_CONST(18542.368011/8.0),
- REAL_CONST(18557.928583/8.0),
- REAL_CONST(18573.492419/8.0),
- REAL_CONST(18589.059515/8.0),
- REAL_CONST(18604.629871/8.0),
- REAL_CONST(18620.203486/8.0),
- REAL_CONST(18635.780358/8.0),
- REAL_CONST(18651.360485/8.0),
- REAL_CONST(18666.943867/8.0),
- REAL_CONST(18682.530502/8.0),
- REAL_CONST(18698.120388/8.0),
- REAL_CONST(18713.713525/8.0),
- REAL_CONST(18729.309910/8.0),
- REAL_CONST(18744.909543/8.0),
- REAL_CONST(18760.512422/8.0),
- REAL_CONST(18776.118546/8.0),
- REAL_CONST(18791.727914/8.0),
- REAL_CONST(18807.340524/8.0),
- REAL_CONST(18822.956374/8.0),
- REAL_CONST(18838.575465/8.0),
- REAL_CONST(18854.197793/8.0),
- REAL_CONST(18869.823358/8.0),
- REAL_CONST(18885.452158/8.0),
- REAL_CONST(18901.084193/8.0),
- REAL_CONST(18916.719460/8.0),
- REAL_CONST(18932.357959/8.0),
- REAL_CONST(18947.999687/8.0),
- REAL_CONST(18963.644645/8.0),
- REAL_CONST(18979.292830/8.0),
- REAL_CONST(18994.944241/8.0),
- REAL_CONST(19010.598877/8.0),
- REAL_CONST(19026.256736/8.0),
- REAL_CONST(19041.917817/8.0),
- REAL_CONST(19057.582120/8.0),
- REAL_CONST(19073.249641/8.0),
- REAL_CONST(19088.920381/8.0),
- REAL_CONST(19104.594338/8.0),
- REAL_CONST(19120.271510/8.0),
- REAL_CONST(19135.951896/8.0),
- REAL_CONST(19151.635495/8.0),
- REAL_CONST(19167.322306/8.0),
- REAL_CONST(19183.012327/8.0),
- REAL_CONST(19198.705557/8.0),
- REAL_CONST(19214.401994/8.0),
- REAL_CONST(19230.101638/8.0),
- REAL_CONST(19245.804487/8.0),
- REAL_CONST(19261.510539/8.0),
- REAL_CONST(19277.219794/8.0),
- REAL_CONST(19292.932250/8.0),
- REAL_CONST(19308.647906/8.0),
- REAL_CONST(19324.366760/8.0),
- REAL_CONST(19340.088811/8.0),
- REAL_CONST(19355.814058/8.0),
- REAL_CONST(19371.542500/8.0),
- REAL_CONST(19387.274135/8.0),
- REAL_CONST(19403.008962/8.0),
- REAL_CONST(19418.746980/8.0),
- REAL_CONST(19434.488187/8.0),
- REAL_CONST(19450.232582/8.0),
- REAL_CONST(19465.980164/8.0),
- REAL_CONST(19481.730931/8.0),
- REAL_CONST(19497.484883/8.0),
- REAL_CONST(19513.242017/8.0),
- REAL_CONST(19529.002334/8.0),
- REAL_CONST(19544.765830/8.0),
- REAL_CONST(19560.532506/8.0),
- REAL_CONST(19576.302359/8.0),
- REAL_CONST(19592.075389/8.0),
- REAL_CONST(19607.851595/8.0),
- REAL_CONST(19623.630974/8.0),
- REAL_CONST(19639.413526/8.0),
- REAL_CONST(19655.199249/8.0),
- REAL_CONST(19670.988143/8.0),
- REAL_CONST(19686.780205/8.0),
- REAL_CONST(19702.575435/8.0),
- REAL_CONST(19718.373831/8.0),
- REAL_CONST(19734.175393/8.0),
- REAL_CONST(19749.980118/8.0),
- REAL_CONST(19765.788005/8.0),
- REAL_CONST(19781.599054/8.0),
- REAL_CONST(19797.413263/8.0),
- REAL_CONST(19813.230631/8.0),
- REAL_CONST(19829.051156/8.0),
- REAL_CONST(19844.874837/8.0),
- REAL_CONST(19860.701674/8.0),
- REAL_CONST(19876.531664/8.0),
- REAL_CONST(19892.364806/8.0),
- REAL_CONST(19908.201100/8.0),
- REAL_CONST(19924.040543/8.0),
- REAL_CONST(19939.883136/8.0),
- REAL_CONST(19955.728875/8.0),
- REAL_CONST(19971.577761/8.0),
- REAL_CONST(19987.429792/8.0),
- REAL_CONST(20003.284967/8.0),
- REAL_CONST(20019.143283/8.0),
- REAL_CONST(20035.004742/8.0),
- REAL_CONST(20050.869340/8.0),
- REAL_CONST(20066.737076/8.0),
- REAL_CONST(20082.607951/8.0),
- REAL_CONST(20098.481961/8.0),
- REAL_CONST(20114.359107/8.0),
- REAL_CONST(20130.239386/8.0),
- REAL_CONST(20146.122798/8.0),
- REAL_CONST(20162.009341/8.0),
- REAL_CONST(20177.899014/8.0),
- REAL_CONST(20193.791815/8.0),
- REAL_CONST(20209.687745/8.0),
- REAL_CONST(20225.586801/8.0),
- REAL_CONST(20241.488982/8.0),
- REAL_CONST(20257.394286/8.0),
- REAL_CONST(20273.302714/8.0),
- REAL_CONST(20289.214263/8.0),
- REAL_CONST(20305.128932/8.0),
- REAL_CONST(20321.046720/8.0),
- REAL_CONST(20336.967626/8.0),
- REAL_CONST(20352.891648/8.0),
- REAL_CONST(20368.818786/8.0),
- REAL_CONST(20384.749038/8.0),
- REAL_CONST(20400.682403/8.0),
- REAL_CONST(20416.618879/8.0),
- REAL_CONST(20432.558466/8.0),
- REAL_CONST(20448.501162/8.0),
- REAL_CONST(20464.446967/8.0),
- REAL_CONST(20480.395878/8.0),
- REAL_CONST(20496.347894/8.0),
- REAL_CONST(20512.303016/8.0),
- REAL_CONST(20528.261240/8.0),
- REAL_CONST(20544.222566/8.0),
- REAL_CONST(20560.186993/8.0),
- REAL_CONST(20576.154520/8.0),
- REAL_CONST(20592.125145/8.0),
- REAL_CONST(20608.098867/8.0),
- REAL_CONST(20624.075685/8.0),
- REAL_CONST(20640.055598/8.0),
- REAL_CONST(20656.038605/8.0),
- REAL_CONST(20672.024704/8.0),
- REAL_CONST(20688.013894/8.0),
- REAL_CONST(20704.006174/8.0),
- REAL_CONST(20720.001543/8.0),
- REAL_CONST(20736.000000/8.0),
- REAL_CONST(20752.001543/8.0),
- REAL_CONST(20768.006171/8.0),
- REAL_CONST(20784.013884/8.0),
- REAL_CONST(20800.024679/8.0),
- REAL_CONST(20816.038555/8.0),
- REAL_CONST(20832.055513/8.0),
- REAL_CONST(20848.075549/8.0),
- REAL_CONST(20864.098664/8.0),
- REAL_CONST(20880.124856/8.0),
- REAL_CONST(20896.154123/8.0),
- REAL_CONST(20912.186465/8.0),
- REAL_CONST(20928.221880/8.0),
- REAL_CONST(20944.260368/8.0),
- REAL_CONST(20960.301926/8.0),
- REAL_CONST(20976.346555/8.0),
- REAL_CONST(20992.394252/8.0),
- REAL_CONST(21008.445017/8.0),
- REAL_CONST(21024.498848/8.0),
- REAL_CONST(21040.555744/8.0),
- REAL_CONST(21056.615704/8.0),
- REAL_CONST(21072.678727/8.0),
- REAL_CONST(21088.744812/8.0),
- REAL_CONST(21104.813957/8.0),
- REAL_CONST(21120.886161/8.0),
- REAL_CONST(21136.961424/8.0),
- REAL_CONST(21153.039743/8.0),
- REAL_CONST(21169.121119/8.0),
- REAL_CONST(21185.205549/8.0),
- REAL_CONST(21201.293033/8.0),
- REAL_CONST(21217.383569/8.0),
- REAL_CONST(21233.477156/8.0),
- REAL_CONST(21249.573794/8.0),
- REAL_CONST(21265.673480/8.0),
- REAL_CONST(21281.776214/8.0),
- REAL_CONST(21297.881994/8.0),
- REAL_CONST(21313.990820/8.0),
- REAL_CONST(21330.102690/8.0),
- REAL_CONST(21346.217604/8.0),
- REAL_CONST(21362.335559/8.0),
- REAL_CONST(21378.456556/8.0),
- REAL_CONST(21394.580591/8.0),
- REAL_CONST(21410.707666/8.0),
- REAL_CONST(21426.837778/8.0),
- REAL_CONST(21442.970926/8.0),
- REAL_CONST(21459.107109/8.0),
- REAL_CONST(21475.246326/8.0),
- REAL_CONST(21491.388576/8.0),
- REAL_CONST(21507.533858/8.0),
- REAL_CONST(21523.682170/8.0),
- REAL_CONST(21539.833512/8.0),
- REAL_CONST(21555.987882/8.0),
- REAL_CONST(21572.145279/8.0),
- REAL_CONST(21588.305702/8.0),
- REAL_CONST(21604.469150/8.0),
- REAL_CONST(21620.635622/8.0),
- REAL_CONST(21636.805116/8.0),
- REAL_CONST(21652.977632/8.0),
- REAL_CONST(21669.153169/8.0),
- REAL_CONST(21685.331724/8.0),
- REAL_CONST(21701.513298/8.0),
- REAL_CONST(21717.697888/8.0),
- REAL_CONST(21733.885495/8.0),
- REAL_CONST(21750.076116/8.0),
- REAL_CONST(21766.269750/8.0),
- REAL_CONST(21782.466398/8.0),
- REAL_CONST(21798.666056/8.0),
- REAL_CONST(21814.868725/8.0),
- REAL_CONST(21831.074403/8.0),
- REAL_CONST(21847.283089/8.0),
- REAL_CONST(21863.494782/8.0),
- REAL_CONST(21879.709481/8.0),
- REAL_CONST(21895.927184/8.0),
- REAL_CONST(21912.147891/8.0),
- REAL_CONST(21928.371600/8.0),
- REAL_CONST(21944.598311/8.0),
- REAL_CONST(21960.828022/8.0),
- REAL_CONST(21977.060732/8.0),
- REAL_CONST(21993.296440/8.0),
- REAL_CONST(22009.535145/8.0),
- REAL_CONST(22025.776846/8.0),
- REAL_CONST(22042.021541/8.0),
- REAL_CONST(22058.269230/8.0),
- REAL_CONST(22074.519912/8.0),
- REAL_CONST(22090.773585/8.0),
- REAL_CONST(22107.030248/8.0),
- REAL_CONST(22123.289900/8.0),
- REAL_CONST(22139.552540/8.0),
- REAL_CONST(22155.818168/8.0),
- REAL_CONST(22172.086781/8.0),
- REAL_CONST(22188.358379/8.0),
- REAL_CONST(22204.632961/8.0),
- REAL_CONST(22220.910525/8.0),
- REAL_CONST(22237.191071/8.0),
- REAL_CONST(22253.474598/8.0),
- REAL_CONST(22269.761103/8.0),
- REAL_CONST(22286.050587/8.0),
- REAL_CONST(22302.343048/8.0),
- REAL_CONST(22318.638485/8.0),
- REAL_CONST(22334.936897/8.0),
- REAL_CONST(22351.238283/8.0),
- REAL_CONST(22367.542642/8.0),
- REAL_CONST(22383.849973/8.0),
- REAL_CONST(22400.160274/8.0),
- REAL_CONST(22416.473545/8.0),
- REAL_CONST(22432.789784/8.0),
- REAL_CONST(22449.108990/8.0),
- REAL_CONST(22465.431163/8.0),
- REAL_CONST(22481.756301/8.0),
- REAL_CONST(22498.084404/8.0),
- REAL_CONST(22514.415469/8.0),
- REAL_CONST(22530.749496/8.0),
- REAL_CONST(22547.086485/8.0),
- REAL_CONST(22563.426433/8.0),
- REAL_CONST(22579.769340/8.0),
- REAL_CONST(22596.115205/8.0),
- REAL_CONST(22612.464026/8.0),
- REAL_CONST(22628.815803/8.0),
- REAL_CONST(22645.170535/8.0),
- REAL_CONST(22661.528220/8.0),
- REAL_CONST(22677.888857/8.0),
- REAL_CONST(22694.252446/8.0),
- REAL_CONST(22710.618985/8.0),
- REAL_CONST(22726.988473/8.0),
- REAL_CONST(22743.360909/8.0),
- REAL_CONST(22759.736292/8.0),
- REAL_CONST(22776.114621/8.0),
- REAL_CONST(22792.495896/8.0),
- REAL_CONST(22808.880114/8.0),
- REAL_CONST(22825.267275/8.0),
- REAL_CONST(22841.657378/8.0),
- REAL_CONST(22858.050421/8.0),
- REAL_CONST(22874.446404/8.0),
- REAL_CONST(22890.845326/8.0),
- REAL_CONST(22907.247185/8.0),
- REAL_CONST(22923.651981/8.0),
- REAL_CONST(22940.059712/8.0),
- REAL_CONST(22956.470378/8.0),
- REAL_CONST(22972.883977/8.0),
- REAL_CONST(22989.300508/8.0),
- REAL_CONST(23005.719971/8.0),
- REAL_CONST(23022.142364/8.0),
- REAL_CONST(23038.567686/8.0),
- REAL_CONST(23054.995936/8.0),
- REAL_CONST(23071.427113/8.0),
- REAL_CONST(23087.861216/8.0),
- REAL_CONST(23104.298245/8.0),
- REAL_CONST(23120.738197/8.0),
- REAL_CONST(23137.181072/8.0),
- REAL_CONST(23153.626869/8.0),
- REAL_CONST(23170.075587/8.0),
- REAL_CONST(23186.527224/8.0),
- REAL_CONST(23202.981781/8.0),
- REAL_CONST(23219.439255/8.0),
- REAL_CONST(23235.899646/8.0),
- REAL_CONST(23252.362952/8.0),
- REAL_CONST(23268.829173/8.0),
- REAL_CONST(23285.298308/8.0),
- REAL_CONST(23301.770356/8.0),
- REAL_CONST(23318.245314/8.0),
- REAL_CONST(23334.723184/8.0),
- REAL_CONST(23351.203963/8.0),
- REAL_CONST(23367.687650/8.0),
- REAL_CONST(23384.174245/8.0),
- REAL_CONST(23400.663746/8.0),
- REAL_CONST(23417.156152/8.0),
- REAL_CONST(23433.651463/8.0),
- REAL_CONST(23450.149677/8.0),
- REAL_CONST(23466.650794/8.0),
- REAL_CONST(23483.154812/8.0),
- REAL_CONST(23499.661730/8.0),
- REAL_CONST(23516.171547/8.0),
- REAL_CONST(23532.684263/8.0),
- REAL_CONST(23549.199876/8.0),
- REAL_CONST(23565.718385/8.0),
- REAL_CONST(23582.239789/8.0),
- REAL_CONST(23598.764087/8.0),
- REAL_CONST(23615.291279/8.0),
- REAL_CONST(23631.821363/8.0),
- REAL_CONST(23648.354338/8.0),
- REAL_CONST(23664.890203/8.0),
- REAL_CONST(23681.428957/8.0),
- REAL_CONST(23697.970599/8.0),
- REAL_CONST(23714.515128/8.0),
- REAL_CONST(23731.062544/8.0),
- REAL_CONST(23747.612844/8.0),
- REAL_CONST(23764.166029/8.0),
- REAL_CONST(23780.722096/8.0),
- REAL_CONST(23797.281046/8.0),
- REAL_CONST(23813.842877/8.0),
- REAL_CONST(23830.407588/8.0),
- REAL_CONST(23846.975178/8.0),
- REAL_CONST(23863.545646/8.0),
- REAL_CONST(23880.118991/8.0),
- REAL_CONST(23896.695212/8.0),
- REAL_CONST(23913.274308/8.0),
- REAL_CONST(23929.856278/8.0),
- REAL_CONST(23946.441122/8.0),
- REAL_CONST(23963.028837/8.0),
- REAL_CONST(23979.619424/8.0),
- REAL_CONST(23996.212880/8.0),
- REAL_CONST(24012.809206/8.0),
- REAL_CONST(24029.408400/8.0),
- REAL_CONST(24046.010461/8.0),
- REAL_CONST(24062.615388/8.0),
- REAL_CONST(24079.223180/8.0),
- REAL_CONST(24095.833837/8.0),
- REAL_CONST(24112.447356/8.0),
- REAL_CONST(24129.063738/8.0),
- REAL_CONST(24145.682981/8.0),
- REAL_CONST(24162.305084/8.0),
- REAL_CONST(24178.930046/8.0),
- REAL_CONST(24195.557867/8.0),
- REAL_CONST(24212.188545/8.0),
- REAL_CONST(24228.822079/8.0),
- REAL_CONST(24245.458468/8.0),
- REAL_CONST(24262.097712/8.0),
- REAL_CONST(24278.739809/8.0),
- REAL_CONST(24295.384759/8.0),
- REAL_CONST(24312.032559/8.0),
- REAL_CONST(24328.683211/8.0),
- REAL_CONST(24345.336711/8.0),
- REAL_CONST(24361.993060/8.0),
- REAL_CONST(24378.652257/8.0),
- REAL_CONST(24395.314300/8.0),
- REAL_CONST(24411.979189/8.0),
- REAL_CONST(24428.646922/8.0),
- REAL_CONST(24445.317499/8.0),
- REAL_CONST(24461.990918/8.0),
- REAL_CONST(24478.667179/8.0),
- REAL_CONST(24495.346281/8.0),
- REAL_CONST(24512.028223/8.0),
- REAL_CONST(24528.713003/8.0),
- REAL_CONST(24545.400621/8.0),
- REAL_CONST(24562.091076/8.0),
- REAL_CONST(24578.784367/8.0),
- REAL_CONST(24595.480492/8.0),
- REAL_CONST(24612.179452/8.0),
- REAL_CONST(24628.881244/8.0),
- REAL_CONST(24645.585869/8.0),
- REAL_CONST(24662.293325/8.0),
- REAL_CONST(24679.003610/8.0),
- REAL_CONST(24695.716725/8.0),
- REAL_CONST(24712.432668/8.0),
- REAL_CONST(24729.151438/8.0),
- REAL_CONST(24745.873035/8.0),
- REAL_CONST(24762.597457/8.0),
- REAL_CONST(24779.324703/8.0),
- REAL_CONST(24796.054772/8.0),
- REAL_CONST(24812.787665/8.0),
- REAL_CONST(24829.523378/8.0),
- REAL_CONST(24846.261912/8.0),
- REAL_CONST(24863.003266/8.0),
- REAL_CONST(24879.747438/8.0),
- REAL_CONST(24896.494428/8.0),
- REAL_CONST(24913.244235/8.0),
- REAL_CONST(24929.996857/8.0),
- REAL_CONST(24946.752295/8.0),
- REAL_CONST(24963.510546/8.0),
- REAL_CONST(24980.271610/8.0),
- REAL_CONST(24997.035487/8.0),
- REAL_CONST(25013.802174/8.0),
- REAL_CONST(25030.571672/8.0),
- REAL_CONST(25047.343978/8.0),
- REAL_CONST(25064.119093/8.0),
- REAL_CONST(25080.897016/8.0),
- REAL_CONST(25097.677744/8.0),
- REAL_CONST(25114.461279/8.0),
- REAL_CONST(25131.247617/8.0),
- REAL_CONST(25148.036759/8.0),
- REAL_CONST(25164.828704/8.0),
- REAL_CONST(25181.623451/8.0),
- REAL_CONST(25198.420998/8.0),
- REAL_CONST(25215.221345/8.0),
- REAL_CONST(25232.024491/8.0),
- REAL_CONST(25248.830435/8.0),
- REAL_CONST(25265.639176/8.0),
- REAL_CONST(25282.450713/8.0),
- REAL_CONST(25299.265045/8.0),
- REAL_CONST(25316.082172/8.0),
- REAL_CONST(25332.902091/8.0),
- REAL_CONST(25349.724804/8.0),
- REAL_CONST(25366.550307/8.0),
- REAL_CONST(25383.378601/8.0),
- REAL_CONST(25400.209685/8.0),
- REAL_CONST(25417.043558/8.0),
- REAL_CONST(25433.880218/8.0),
- REAL_CONST(25450.719665/8.0),
- REAL_CONST(25467.561898/8.0),
- REAL_CONST(25484.406916/8.0),
- REAL_CONST(25501.254718/8.0),
- REAL_CONST(25518.105303/8.0),
- REAL_CONST(25534.958670/8.0),
- REAL_CONST(25551.814819/8.0),
- REAL_CONST(25568.673748/8.0),
- REAL_CONST(25585.535457/8.0),
- REAL_CONST(25602.399944/8.0),
- REAL_CONST(25619.267209/8.0),
- REAL_CONST(25636.137250/8.0),
- REAL_CONST(25653.010067/8.0),
- REAL_CONST(25669.885660/8.0),
- REAL_CONST(25686.764026/8.0),
- REAL_CONST(25703.645165/8.0),
- REAL_CONST(25720.529077/8.0),
- REAL_CONST(25737.415759/8.0),
- REAL_CONST(25754.305213/8.0),
- REAL_CONST(25771.197435/8.0),
- REAL_CONST(25788.092426/8.0),
- REAL_CONST(25804.990185/8.0),
- REAL_CONST(25821.890710/8.0),
- REAL_CONST(25838.794002/8.0),
- REAL_CONST(25855.700058/8.0),
- REAL_CONST(25872.608878/8.0),
- REAL_CONST(25889.520461/8.0),
- REAL_CONST(25906.434807/8.0),
- REAL_CONST(25923.351914/8.0),
- REAL_CONST(25940.271781/8.0),
- REAL_CONST(25957.194407/8.0),
- REAL_CONST(25974.119793/8.0),
- REAL_CONST(25991.047936/8.0),
- REAL_CONST(26007.978835/8.0),
- REAL_CONST(26024.912491/8.0),
- REAL_CONST(26041.848902/8.0),
- REAL_CONST(26058.788067/8.0),
- REAL_CONST(26075.729985/8.0),
- REAL_CONST(26092.674655/8.0),
- REAL_CONST(26109.622077/8.0),
- REAL_CONST(26126.572249/8.0),
- REAL_CONST(26143.525171/8.0),
- REAL_CONST(26160.480842/8.0),
- REAL_CONST(26177.439260/8.0),
- REAL_CONST(26194.400426/8.0),
- REAL_CONST(26211.364337/8.0),
- REAL_CONST(26228.330994/8.0),
- REAL_CONST(26245.300395/8.0),
- REAL_CONST(26262.272540/8.0),
- REAL_CONST(26279.247427/8.0),
- REAL_CONST(26296.225056/8.0),
- REAL_CONST(26313.205425/8.0),
- REAL_CONST(26330.188534/8.0),
- REAL_CONST(26347.174383/8.0),
- REAL_CONST(26364.162969/8.0),
- REAL_CONST(26381.154293/8.0),
- REAL_CONST(26398.148353/8.0),
- REAL_CONST(26415.145148/8.0),
- REAL_CONST(26432.144678/8.0),
- REAL_CONST(26449.146942/8.0),
- REAL_CONST(26466.151939/8.0),
- REAL_CONST(26483.159667/8.0),
- REAL_CONST(26500.170127/8.0),
- REAL_CONST(26517.183317/8.0),
- REAL_CONST(26534.199236/8.0),
- REAL_CONST(26551.217883/8.0),
- REAL_CONST(26568.239258/8.0),
- REAL_CONST(26585.263360/8.0),
- REAL_CONST(26602.290188/8.0),
- REAL_CONST(26619.319740/8.0),
- REAL_CONST(26636.352017/8.0),
- REAL_CONST(26653.387017/8.0),
- REAL_CONST(26670.424739/8.0),
- REAL_CONST(26687.465183/8.0),
- REAL_CONST(26704.508347/8.0),
- REAL_CONST(26721.554231/8.0),
- REAL_CONST(26738.602834/8.0),
- REAL_CONST(26755.654154/8.0),
- REAL_CONST(26772.708192/8.0),
- REAL_CONST(26789.764947/8.0),
- REAL_CONST(26806.824416/8.0),
- REAL_CONST(26823.886600/8.0),
- REAL_CONST(26840.951498/8.0),
- REAL_CONST(26858.019109/8.0),
- REAL_CONST(26875.089431/8.0),
- REAL_CONST(26892.162465/8.0),
- REAL_CONST(26909.238209/8.0),
- REAL_CONST(26926.316662/8.0),
- REAL_CONST(26943.397823/8.0),
- REAL_CONST(26960.481693/8.0),
- REAL_CONST(26977.568269/8.0),
- REAL_CONST(26994.657551/8.0),
- REAL_CONST(27011.749538/8.0),
- REAL_CONST(27028.844229/8.0),
- REAL_CONST(27045.941624/8.0),
- REAL_CONST(27063.041721/8.0),
- REAL_CONST(27080.144520/8.0),
- REAL_CONST(27097.250020/8.0),
- REAL_CONST(27114.358219/8.0),
- REAL_CONST(27131.469118/8.0),
- REAL_CONST(27148.582715/8.0),
- REAL_CONST(27165.699009/8.0),
- REAL_CONST(27182.818000/8.0),
- REAL_CONST(27199.939687/8.0),
- REAL_CONST(27217.064068/8.0),
- REAL_CONST(27234.191144/8.0),
- REAL_CONST(27251.320912/8.0),
- REAL_CONST(27268.453373/8.0),
- REAL_CONST(27285.588525/8.0),
- REAL_CONST(27302.726368/8.0),
- REAL_CONST(27319.866901/8.0),
- REAL_CONST(27337.010122/8.0),
- REAL_CONST(27354.156032/8.0),
- REAL_CONST(27371.304629/8.0),
- REAL_CONST(27388.455912/8.0),
- REAL_CONST(27405.609881/8.0),
- REAL_CONST(27422.766535/8.0),
- REAL_CONST(27439.925872/8.0),
- REAL_CONST(27457.087893/8.0),
- REAL_CONST(27474.252595/8.0),
- REAL_CONST(27491.419979/8.0),
- REAL_CONST(27508.590044/8.0),
- REAL_CONST(27525.762788/8.0),
- REAL_CONST(27542.938211/8.0),
- REAL_CONST(27560.116312/8.0),
- REAL_CONST(27577.297090/8.0),
- REAL_CONST(27594.480545/8.0),
- REAL_CONST(27611.666675/8.0),
- REAL_CONST(27628.855480/8.0),
- REAL_CONST(27646.046959/8.0),
- REAL_CONST(27663.241110/8.0),
- REAL_CONST(27680.437934/8.0),
- REAL_CONST(27697.637429/8.0),
- REAL_CONST(27714.839595/8.0),
- REAL_CONST(27732.044430/8.0),
- REAL_CONST(27749.251934/8.0),
- REAL_CONST(27766.462107/8.0),
- REAL_CONST(27783.674946/8.0),
- REAL_CONST(27800.890452/8.0),
- REAL_CONST(27818.108624/8.0),
- REAL_CONST(27835.329460/8.0),
- REAL_CONST(27852.552960/8.0),
- REAL_CONST(27869.779123/8.0),
- REAL_CONST(27887.007948/8.0),
- REAL_CONST(27904.239435/8.0),
- REAL_CONST(27921.473583/8.0),
- REAL_CONST(27938.710390/8.0),
- REAL_CONST(27955.949856/8.0),
- REAL_CONST(27973.191981/8.0),
- REAL_CONST(27990.436763/8.0),
- REAL_CONST(28007.684201/8.0),
- REAL_CONST(28024.934295/8.0),
- REAL_CONST(28042.187044/8.0),
- REAL_CONST(28059.442447/8.0),
- REAL_CONST(28076.700503/8.0),
- REAL_CONST(28093.961211/8.0),
- REAL_CONST(28111.224571/8.0),
- REAL_CONST(28128.490582/8.0),
- REAL_CONST(28145.759243/8.0),
- REAL_CONST(28163.030554/8.0),
- REAL_CONST(28180.304512/8.0),
- REAL_CONST(28197.581118/8.0),
- REAL_CONST(28214.860371/8.0),
- REAL_CONST(28232.142270/8.0),
- REAL_CONST(28249.426814/8.0),
- REAL_CONST(28266.714002/8.0),
- REAL_CONST(28284.003834/8.0),
- REAL_CONST(28301.296308/8.0),
- REAL_CONST(28318.591424/8.0),
- REAL_CONST(28335.889182/8.0),
- REAL_CONST(28353.189579/8.0),
- REAL_CONST(28370.492617/8.0),
- REAL_CONST(28387.798292/8.0),
- REAL_CONST(28405.106606/8.0),
- REAL_CONST(28422.417557/8.0),
- REAL_CONST(28439.731144/8.0),
- REAL_CONST(28457.047366/8.0),
- REAL_CONST(28474.366223/8.0),
- REAL_CONST(28491.687714/8.0),
- REAL_CONST(28509.011838/8.0),
- REAL_CONST(28526.338594/8.0),
- REAL_CONST(28543.667982/8.0),
- REAL_CONST(28561.000000/8.0),
- REAL_CONST(28578.334648/8.0),
- REAL_CONST(28595.671925/8.0),
- REAL_CONST(28613.011831/8.0),
- REAL_CONST(28630.354364/8.0),
- REAL_CONST(28647.699523/8.0),
- REAL_CONST(28665.047309/8.0),
- REAL_CONST(28682.397719/8.0),
- REAL_CONST(28699.750754/8.0),
- REAL_CONST(28717.106412/8.0),
- REAL_CONST(28734.464693/8.0),
- REAL_CONST(28751.825596/8.0),
- REAL_CONST(28769.189120/8.0),
- REAL_CONST(28786.555264/8.0),
- REAL_CONST(28803.924028/8.0),
- REAL_CONST(28821.295410/8.0),
- REAL_CONST(28838.669411/8.0),
- REAL_CONST(28856.046028/8.0),
- REAL_CONST(28873.425262/8.0),
- REAL_CONST(28890.807112/8.0),
- REAL_CONST(28908.191576/8.0),
- REAL_CONST(28925.578655/8.0),
- REAL_CONST(28942.968346/8.0),
- REAL_CONST(28960.360650/8.0),
- REAL_CONST(28977.755566/8.0),
- REAL_CONST(28995.153093/8.0),
- REAL_CONST(29012.553229/8.0),
- REAL_CONST(29029.955975/8.0),
- REAL_CONST(29047.361330/8.0),
- REAL_CONST(29064.769292/8.0),
- REAL_CONST(29082.179861/8.0),
- REAL_CONST(29099.593037/8.0),
- REAL_CONST(29117.008817/8.0),
- REAL_CONST(29134.427203/8.0),
- REAL_CONST(29151.848192/8.0),
- REAL_CONST(29169.271784/8.0),
- REAL_CONST(29186.697979/8.0),
- REAL_CONST(29204.126775/8.0),
- REAL_CONST(29221.558172/8.0),
- REAL_CONST(29238.992168/8.0),
- REAL_CONST(29256.428764/8.0),
- REAL_CONST(29273.867959/8.0),
- REAL_CONST(29291.309750/8.0),
- REAL_CONST(29308.754139/8.0),
- REAL_CONST(29326.201124/8.0),
- REAL_CONST(29343.650704/8.0),
- REAL_CONST(29361.102879/8.0),
- REAL_CONST(29378.557648/8.0),
- REAL_CONST(29396.015009/8.0),
- REAL_CONST(29413.474963/8.0),
- REAL_CONST(29430.937508/8.0),
- REAL_CONST(29448.402644/8.0),
- REAL_CONST(29465.870370/8.0),
- REAL_CONST(29483.340685/8.0),
- REAL_CONST(29500.813588/8.0),
- REAL_CONST(29518.289079/8.0),
- REAL_CONST(29535.767157/8.0),
- REAL_CONST(29553.247821/8.0),
- REAL_CONST(29570.731070/8.0),
- REAL_CONST(29588.216904/8.0),
- REAL_CONST(29605.705322/8.0),
- REAL_CONST(29623.196322/8.0),
- REAL_CONST(29640.689905/8.0),
- REAL_CONST(29658.186070/8.0),
- REAL_CONST(29675.684815/8.0),
- REAL_CONST(29693.186140/8.0),
- REAL_CONST(29710.690044/8.0),
- REAL_CONST(29728.196527/8.0),
- REAL_CONST(29745.705588/8.0),
- REAL_CONST(29763.217225/8.0),
- REAL_CONST(29780.731439/8.0),
- REAL_CONST(29798.248228/8.0),
- REAL_CONST(29815.767592/8.0),
- REAL_CONST(29833.289529/8.0),
- REAL_CONST(29850.814040/8.0),
- REAL_CONST(29868.341123/8.0),
- REAL_CONST(29885.870778/8.0),
- REAL_CONST(29903.403004/8.0),
- REAL_CONST(29920.937800/8.0),
- REAL_CONST(29938.475165/8.0),
- REAL_CONST(29956.015099/8.0),
- REAL_CONST(29973.557601/8.0),
- REAL_CONST(29991.102670/8.0),
- REAL_CONST(30008.650306/8.0),
- REAL_CONST(30026.200506/8.0),
- REAL_CONST(30043.753272/8.0),
- REAL_CONST(30061.308602/8.0),
- REAL_CONST(30078.866496/8.0),
- REAL_CONST(30096.426952/8.0),
- REAL_CONST(30113.989970/8.0),
- REAL_CONST(30131.555549/8.0),
- REAL_CONST(30149.123688/8.0),
- REAL_CONST(30166.694387/8.0),
- REAL_CONST(30184.267645/8.0),
- REAL_CONST(30201.843461/8.0),
- REAL_CONST(30219.421835/8.0),
- REAL_CONST(30237.002765/8.0),
- REAL_CONST(30254.586251/8.0),
- REAL_CONST(30272.172293/8.0),
- REAL_CONST(30289.760889/8.0),
- REAL_CONST(30307.352038/8.0),
- REAL_CONST(30324.945741/8.0),
- REAL_CONST(30342.541995/8.0),
- REAL_CONST(30360.140801/8.0),
- REAL_CONST(30377.742158/8.0),
- REAL_CONST(30395.346065/8.0),
- REAL_CONST(30412.952521/8.0),
- REAL_CONST(30430.561526/8.0),
- REAL_CONST(30448.173078/8.0),
- REAL_CONST(30465.787178/8.0),
- REAL_CONST(30483.403824/8.0),
- REAL_CONST(30501.023015/8.0),
- REAL_CONST(30518.644751/8.0),
- REAL_CONST(30536.269031/8.0),
- REAL_CONST(30553.895855/8.0),
- REAL_CONST(30571.525221/8.0),
- REAL_CONST(30589.157130/8.0),
- REAL_CONST(30606.791579/8.0),
- REAL_CONST(30624.428569/8.0),
- REAL_CONST(30642.068098/8.0),
- REAL_CONST(30659.710167/8.0),
- REAL_CONST(30677.354774/8.0),
- REAL_CONST(30695.001918/8.0),
- REAL_CONST(30712.651599/8.0),
- REAL_CONST(30730.303816/8.0),
- REAL_CONST(30747.958568/8.0),
- REAL_CONST(30765.615855/8.0),
- REAL_CONST(30783.275676/8.0),
- REAL_CONST(30800.938030/8.0),
- REAL_CONST(30818.602917/8.0),
- REAL_CONST(30836.270335/8.0),
- REAL_CONST(30853.940284/8.0),
- REAL_CONST(30871.612763/8.0),
- REAL_CONST(30889.287772/8.0),
- REAL_CONST(30906.965310/8.0),
- REAL_CONST(30924.645376/8.0),
- REAL_CONST(30942.327969/8.0),
- REAL_CONST(30960.013089/8.0),
- REAL_CONST(30977.700734/8.0),
- REAL_CONST(30995.390905/8.0),
- REAL_CONST(31013.083600/8.0),
- REAL_CONST(31030.778819/8.0),
- REAL_CONST(31048.476561/8.0),
- REAL_CONST(31066.176826/8.0),
- REAL_CONST(31083.879612/8.0),
- REAL_CONST(31101.584918/8.0),
- REAL_CONST(31119.292745/8.0),
- REAL_CONST(31137.003092/8.0),
- REAL_CONST(31154.715957/8.0),
- REAL_CONST(31172.431340/8.0),
- REAL_CONST(31190.149240/8.0),
- REAL_CONST(31207.869657/8.0),
- REAL_CONST(31225.592590/8.0),
- REAL_CONST(31243.318038/8.0),
- REAL_CONST(31261.046000/8.0),
- REAL_CONST(31278.776476/8.0),
- REAL_CONST(31296.509466/8.0),
- REAL_CONST(31314.244967/8.0),
- REAL_CONST(31331.982980/8.0),
- REAL_CONST(31349.723504/8.0),
- REAL_CONST(31367.466538/8.0),
- REAL_CONST(31385.212081/8.0),
- REAL_CONST(31402.960133/8.0),
- REAL_CONST(31420.710693/8.0),
- REAL_CONST(31438.463761/8.0),
- REAL_CONST(31456.219335/8.0),
- REAL_CONST(31473.977415/8.0),
- REAL_CONST(31491.738000/8.0),
- REAL_CONST(31509.501090/8.0),
- REAL_CONST(31527.266683/8.0),
- REAL_CONST(31545.034780/8.0),
- REAL_CONST(31562.805379/8.0),
- REAL_CONST(31580.578479/8.0),
- REAL_CONST(31598.354081/8.0),
- REAL_CONST(31616.132183/8.0),
- REAL_CONST(31633.912784/8.0),
- REAL_CONST(31651.695884/8.0),
- REAL_CONST(31669.481483/8.0),
- REAL_CONST(31687.269579/8.0),
- REAL_CONST(31705.060171/8.0),
- REAL_CONST(31722.853260/8.0),
- REAL_CONST(31740.648844/8.0),
- REAL_CONST(31758.446922/8.0),
- REAL_CONST(31776.247495/8.0),
- REAL_CONST(31794.050561/8.0),
- REAL_CONST(31811.856119/8.0),
- REAL_CONST(31829.664169/8.0),
- REAL_CONST(31847.474711/8.0),
- REAL_CONST(31865.287743/8.0),
- REAL_CONST(31883.103264/8.0),
- REAL_CONST(31900.921275/8.0),
- REAL_CONST(31918.741774/8.0),
- REAL_CONST(31936.564761/8.0),
- REAL_CONST(31954.390235/8.0),
- REAL_CONST(31972.218195/8.0),
- REAL_CONST(31990.048640/8.0),
- REAL_CONST(32007.881571/8.0),
- REAL_CONST(32025.716986/8.0),
- REAL_CONST(32043.554884/8.0),
- REAL_CONST(32061.395265/8.0),
- REAL_CONST(32079.238128/8.0),
- REAL_CONST(32097.083473/8.0),
- REAL_CONST(32114.931298/8.0),
- REAL_CONST(32132.781604/8.0),
- REAL_CONST(32150.634389/8.0),
- REAL_CONST(32168.489652/8.0),
- REAL_CONST(32186.347394/8.0),
- REAL_CONST(32204.207613/8.0),
- REAL_CONST(32222.070309/8.0),
- REAL_CONST(32239.935480/8.0),
- REAL_CONST(32257.803127/8.0),
- REAL_CONST(32275.673248/8.0),
- REAL_CONST(32293.545843/8.0),
- REAL_CONST(32311.420912/8.0),
- REAL_CONST(32329.298453/8.0),
- REAL_CONST(32347.178465/8.0),
- REAL_CONST(32365.060949/8.0),
- REAL_CONST(32382.945904/8.0),
- REAL_CONST(32400.833328/8.0),
- REAL_CONST(32418.723221/8.0),
- REAL_CONST(32436.615583/8.0),
- REAL_CONST(32454.510412/8.0),
- REAL_CONST(32472.407709/8.0),
- REAL_CONST(32490.307472/8.0),
- REAL_CONST(32508.209700/8.0),
- REAL_CONST(32526.114394/8.0),
- REAL_CONST(32544.021552/8.0),
- REAL_CONST(32561.931174/8.0),
- REAL_CONST(32579.843258/8.0),
- REAL_CONST(32597.757805/8.0),
- REAL_CONST(32615.674814/8.0),
- REAL_CONST(32633.594283/8.0),
- REAL_CONST(32651.516213/8.0),
- REAL_CONST(32669.440602/8.0),
- REAL_CONST(32687.367451/8.0),
- REAL_CONST(32705.296757/8.0),
- REAL_CONST(32723.228522/8.0),
- REAL_CONST(32741.162743/8.0),
- REAL_CONST(32759.099420/8.0),
- REAL_CONST(32777.038553/8.0),
- REAL_CONST(32794.980141/8.0),
- REAL_CONST(32812.924183/8.0),
- REAL_CONST(32830.870678/8.0),
- REAL_CONST(32848.819627/8.0),
- REAL_CONST(32866.771027/8.0),
- REAL_CONST(32884.724879/8.0),
- REAL_CONST(32902.681183/8.0),
- REAL_CONST(32920.639936/8.0),
- REAL_CONST(32938.601139/8.0),
- REAL_CONST(32956.564790/8.0),
- REAL_CONST(32974.530890/8.0),
- REAL_CONST(32992.499438/8.0),
- REAL_CONST(33010.470432/8.0),
- REAL_CONST(33028.443872/8.0),
- REAL_CONST(33046.419758/8.0),
- REAL_CONST(33064.398089/8.0),
- REAL_CONST(33082.378864/8.0),
- REAL_CONST(33100.362083/8.0),
- REAL_CONST(33118.347744/8.0),
- REAL_CONST(33136.335848/8.0),
- REAL_CONST(33154.326393/8.0),
- REAL_CONST(33172.319379/8.0),
- REAL_CONST(33190.314806/8.0),
- REAL_CONST(33208.312671/8.0),
- REAL_CONST(33226.312976/8.0),
- REAL_CONST(33244.315719/8.0),
- REAL_CONST(33262.320900/8.0),
- REAL_CONST(33280.328517/8.0),
- REAL_CONST(33298.338571/8.0),
- REAL_CONST(33316.351061/8.0),
- REAL_CONST(33334.365985/8.0),
- REAL_CONST(33352.383344/8.0),
- REAL_CONST(33370.403136/8.0),
- REAL_CONST(33388.425361/8.0),
- REAL_CONST(33406.450019/8.0),
- REAL_CONST(33424.477108/8.0),
- REAL_CONST(33442.506628/8.0),
- REAL_CONST(33460.538579/8.0),
- REAL_CONST(33478.572959/8.0),
- REAL_CONST(33496.609768/8.0),
- REAL_CONST(33514.649006/8.0),
- REAL_CONST(33532.690671/8.0),
- REAL_CONST(33550.734764/8.0),
- REAL_CONST(33568.781282/8.0),
- REAL_CONST(33586.830227/8.0),
- REAL_CONST(33604.881597/8.0),
- REAL_CONST(33622.935391/8.0),
- REAL_CONST(33640.991609/8.0),
- REAL_CONST(33659.050250/8.0),
- REAL_CONST(33677.111314/8.0),
- REAL_CONST(33695.174800/8.0),
- REAL_CONST(33713.240707/8.0),
- REAL_CONST(33731.309034/8.0),
- REAL_CONST(33749.379781/8.0),
- REAL_CONST(33767.452948/8.0),
- REAL_CONST(33785.528533/8.0),
- REAL_CONST(33803.606536/8.0),
- REAL_CONST(33821.686957/8.0),
- REAL_CONST(33839.769794/8.0),
- REAL_CONST(33857.855047/8.0),
- REAL_CONST(33875.942716/8.0),
- REAL_CONST(33894.032799/8.0),
- REAL_CONST(33912.125297/8.0),
- REAL_CONST(33930.220207/8.0),
- REAL_CONST(33948.317531/8.0),
- REAL_CONST(33966.417267/8.0),
- REAL_CONST(33984.519415/8.0),
- REAL_CONST(34002.623973/8.0),
- REAL_CONST(34020.730941/8.0),
- REAL_CONST(34038.840320/8.0),
- REAL_CONST(34056.952107/8.0),
- REAL_CONST(34075.066302/8.0),
- REAL_CONST(34093.182905/8.0),
- REAL_CONST(34111.301916/8.0),
- REAL_CONST(34129.423332/8.0),
- REAL_CONST(34147.547155/8.0),
- REAL_CONST(34165.673382/8.0),
- REAL_CONST(34183.802014/8.0),
- REAL_CONST(34201.933050/8.0),
- REAL_CONST(34220.066489/8.0),
- REAL_CONST(34238.202330/8.0),
- REAL_CONST(34256.340574/8.0),
- REAL_CONST(34274.481219/8.0),
- REAL_CONST(34292.624264/8.0),
- REAL_CONST(34310.769710/8.0),
- REAL_CONST(34328.917555/8.0),
- REAL_CONST(34347.067799/8.0),
- REAL_CONST(34365.220440/8.0),
- REAL_CONST(34383.375480/8.0),
- REAL_CONST(34401.532916/8.0),
- REAL_CONST(34419.692748/8.0),
- REAL_CONST(34437.854976/8.0),
- REAL_CONST(34456.019599/8.0),
- REAL_CONST(34474.186617/8.0),
- REAL_CONST(34492.356028/8.0),
- REAL_CONST(34510.527832/8.0),
- REAL_CONST(34528.702029/8.0),
- REAL_CONST(34546.878617/8.0),
- REAL_CONST(34565.057596/8.0),
- REAL_CONST(34583.238967/8.0),
- REAL_CONST(34601.422727/8.0),
- REAL_CONST(34619.608876/8.0),
- REAL_CONST(34637.797414/8.0),
- REAL_CONST(34655.988340/8.0),
- REAL_CONST(34674.181653/8.0),
- REAL_CONST(34692.377354/8.0),
- REAL_CONST(34710.575440/8.0),
- REAL_CONST(34728.775912/8.0),
- REAL_CONST(34746.978769/8.0),
- REAL_CONST(34765.184010/8.0),
- REAL_CONST(34783.391635/8.0),
- REAL_CONST(34801.601643/8.0),
- REAL_CONST(34819.814033/8.0),
- REAL_CONST(34838.028805/8.0),
- REAL_CONST(34856.245958/8.0),
- REAL_CONST(34874.465492/8.0),
- REAL_CONST(34892.687406/8.0),
- REAL_CONST(34910.911699/8.0),
- REAL_CONST(34929.138371/8.0),
- REAL_CONST(34947.367421/8.0),
- REAL_CONST(34965.598848/8.0),
- REAL_CONST(34983.832652/8.0),
- REAL_CONST(35002.068832/8.0),
- REAL_CONST(35020.307388/8.0),
- REAL_CONST(35038.548319/8.0),
- REAL_CONST(35056.791624/8.0),
- REAL_CONST(35075.037303/8.0),
- REAL_CONST(35093.285355/8.0),
- REAL_CONST(35111.535779/8.0),
- REAL_CONST(35129.788576/8.0),
- REAL_CONST(35148.043743/8.0),
- REAL_CONST(35166.301282/8.0),
- REAL_CONST(35184.561190/8.0),
- REAL_CONST(35202.823468/8.0),
- REAL_CONST(35221.088114/8.0),
- REAL_CONST(35239.355129/8.0),
- REAL_CONST(35257.624511/8.0),
- REAL_CONST(35275.896260/8.0),
- REAL_CONST(35294.170376/8.0),
- REAL_CONST(35312.446857/8.0),
- REAL_CONST(35330.725704/8.0),
- REAL_CONST(35349.006915/8.0),
- REAL_CONST(35367.290490/8.0),
- REAL_CONST(35385.576428/8.0),
- REAL_CONST(35403.864729/8.0),
- REAL_CONST(35422.155392/8.0),
- REAL_CONST(35440.448416/8.0),
- REAL_CONST(35458.743801/8.0),
- REAL_CONST(35477.041547/8.0),
- REAL_CONST(35495.341652/8.0),
- REAL_CONST(35513.644116/8.0),
- REAL_CONST(35531.948938/8.0),
- REAL_CONST(35550.256119/8.0),
- REAL_CONST(35568.565656/8.0),
- REAL_CONST(35586.877550/8.0),
- REAL_CONST(35605.191800/8.0),
- REAL_CONST(35623.508406/8.0),
- REAL_CONST(35641.827366/8.0),
- REAL_CONST(35660.148681/8.0),
- REAL_CONST(35678.472348/8.0),
- REAL_CONST(35696.798369/8.0),
- REAL_CONST(35715.126743/8.0),
- REAL_CONST(35733.457468/8.0),
- REAL_CONST(35751.790544/8.0),
- REAL_CONST(35770.125971/8.0),
- REAL_CONST(35788.463747/8.0),
- REAL_CONST(35806.803873/8.0),
- REAL_CONST(35825.146348/8.0),
- REAL_CONST(35843.491171/8.0),
- REAL_CONST(35861.838341/8.0),
- REAL_CONST(35880.187859/8.0),
- REAL_CONST(35898.539722/8.0),
- REAL_CONST(35916.893932/8.0),
- REAL_CONST(35935.250487/8.0),
- REAL_CONST(35953.609386/8.0),
- REAL_CONST(35971.970629/8.0),
- REAL_CONST(35990.334215/8.0),
- REAL_CONST(36008.700144/8.0),
- REAL_CONST(36027.068415/8.0),
- REAL_CONST(36045.439028/8.0),
- REAL_CONST(36063.811982/8.0),
- REAL_CONST(36082.187276/8.0),
- REAL_CONST(36100.564910/8.0),
- REAL_CONST(36118.944883/8.0),
- REAL_CONST(36137.327195/8.0),
- REAL_CONST(36155.711844/8.0),
- REAL_CONST(36174.098831/8.0),
- REAL_CONST(36192.488155/8.0),
- REAL_CONST(36210.879815/8.0),
- REAL_CONST(36229.273811/8.0),
- REAL_CONST(36247.670141/8.0),
- REAL_CONST(36266.068806/8.0),
- REAL_CONST(36284.469805/8.0),
- REAL_CONST(36302.873137/8.0),
- REAL_CONST(36321.278801/8.0),
- REAL_CONST(36339.686798/8.0),
- REAL_CONST(36358.097126/8.0),
- REAL_CONST(36376.509785/8.0),
- REAL_CONST(36394.924775/8.0),
- REAL_CONST(36413.342094/8.0),
- REAL_CONST(36431.761742/8.0),
- REAL_CONST(36450.183718/8.0),
- REAL_CONST(36468.608023/8.0),
- REAL_CONST(36487.034654/8.0),
- REAL_CONST(36505.463613/8.0),
- REAL_CONST(36523.894898/8.0),
- REAL_CONST(36542.328508/8.0),
- REAL_CONST(36560.764443/8.0),
- REAL_CONST(36579.202703/8.0),
- REAL_CONST(36597.643286/8.0),
- REAL_CONST(36616.086193/8.0),
- REAL_CONST(36634.531422/8.0),
- REAL_CONST(36652.978974/8.0),
- REAL_CONST(36671.428847/8.0),
- REAL_CONST(36689.881040/8.0),
- REAL_CONST(36708.335554/8.0),
- REAL_CONST(36726.792388/8.0),
- REAL_CONST(36745.251541/8.0),
- REAL_CONST(36763.713012/8.0),
- REAL_CONST(36782.176802/8.0),
- REAL_CONST(36800.642909/8.0),
- REAL_CONST(36819.111332/8.0),
- REAL_CONST(36837.582072/8.0),
- REAL_CONST(36856.055127/8.0),
- REAL_CONST(36874.530498/8.0),
- REAL_CONST(36893.008183/8.0),
- REAL_CONST(36911.488182/8.0),
- REAL_CONST(36929.970494/8.0),
- REAL_CONST(36948.455119/8.0),
- REAL_CONST(36966.942056/8.0),
- REAL_CONST(36985.431305/8.0),
- REAL_CONST(37003.922865/8.0),
- REAL_CONST(37022.416735/8.0),
- REAL_CONST(37040.912915/8.0),
- REAL_CONST(37059.411404/8.0),
- REAL_CONST(37077.912202/8.0),
- REAL_CONST(37096.415309/8.0),
- REAL_CONST(37114.920722/8.0),
- REAL_CONST(37133.428443/8.0),
- REAL_CONST(37151.938470/8.0),
- REAL_CONST(37170.450803/8.0),
- REAL_CONST(37188.965441/8.0),
- REAL_CONST(37207.482384/8.0),
- REAL_CONST(37226.001631/8.0),
- REAL_CONST(37244.523182/8.0),
- REAL_CONST(37263.047035/8.0),
- REAL_CONST(37281.573191/8.0),
- REAL_CONST(37300.101648/8.0),
- REAL_CONST(37318.632407/8.0),
- REAL_CONST(37337.165467/8.0),
- REAL_CONST(37355.700827/8.0),
- REAL_CONST(37374.238486/8.0),
- REAL_CONST(37392.778444/8.0),
- REAL_CONST(37411.320701/8.0),
- REAL_CONST(37429.865255/8.0),
- REAL_CONST(37448.412107/8.0),
- REAL_CONST(37466.961255/8.0),
- REAL_CONST(37485.512699/8.0),
- REAL_CONST(37504.066439/8.0),
- REAL_CONST(37522.622474/8.0),
- REAL_CONST(37541.180803/8.0),
- REAL_CONST(37559.741427/8.0),
- REAL_CONST(37578.304343/8.0),
- REAL_CONST(37596.869552/8.0),
- REAL_CONST(37615.437054/8.0),
- REAL_CONST(37634.006846/8.0),
- REAL_CONST(37652.578930/8.0),
- REAL_CONST(37671.153305/8.0),
- REAL_CONST(37689.729969/8.0),
- REAL_CONST(37708.308922/8.0),
- REAL_CONST(37726.890165/8.0),
- REAL_CONST(37745.473695/8.0),
- REAL_CONST(37764.059513/8.0),
- REAL_CONST(37782.647619/8.0),
- REAL_CONST(37801.238010/8.0),
- REAL_CONST(37819.830688/8.0),
- REAL_CONST(37838.425651/8.0),
- REAL_CONST(37857.022899/8.0),
- REAL_CONST(37875.622431/8.0),
- REAL_CONST(37894.224246/8.0),
- REAL_CONST(37912.828345/8.0),
- REAL_CONST(37931.434727/8.0),
- REAL_CONST(37950.043390/8.0),
- REAL_CONST(37968.654335/8.0),
- REAL_CONST(37987.267561/8.0),
- REAL_CONST(38005.883067/8.0),
- REAL_CONST(38024.500853/8.0),
- REAL_CONST(38043.120918/8.0),
- REAL_CONST(38061.743262/8.0),
- REAL_CONST(38080.367884/8.0),
- REAL_CONST(38098.994783/8.0),
- REAL_CONST(38117.623960/8.0),
- REAL_CONST(38136.255413/8.0),
- REAL_CONST(38154.889141/8.0),
- REAL_CONST(38173.525145/8.0),
- REAL_CONST(38192.163424/8.0),
- REAL_CONST(38210.803977/8.0),
- REAL_CONST(38229.446804/8.0),
- REAL_CONST(38248.091904/8.0),
- REAL_CONST(38266.739276/8.0),
- REAL_CONST(38285.388920/8.0),
- REAL_CONST(38304.040836/8.0),
- REAL_CONST(38322.695023/8.0),
- REAL_CONST(38341.351480/8.0),
- REAL_CONST(38360.010207/8.0),
- REAL_CONST(38378.671203/8.0),
- REAL_CONST(38397.334467/8.0),
- REAL_CONST(38416.000000/8.0),
- REAL_CONST(38434.667800/8.0),
- REAL_CONST(38453.337868/8.0),
- REAL_CONST(38472.010202/8.0),
- REAL_CONST(38490.684801/8.0),
- REAL_CONST(38509.361667/8.0),
- REAL_CONST(38528.040797/8.0),
- REAL_CONST(38546.722191/8.0),
- REAL_CONST(38565.405849/8.0),
- REAL_CONST(38584.091770/8.0),
- REAL_CONST(38602.779954/8.0),
- REAL_CONST(38621.470400/8.0),
- REAL_CONST(38640.163107/8.0),
- REAL_CONST(38658.858075/8.0),
- REAL_CONST(38677.555304/8.0),
- REAL_CONST(38696.254793/8.0),
- REAL_CONST(38714.956541/8.0),
- REAL_CONST(38733.660548/8.0),
- REAL_CONST(38752.366813/8.0),
- REAL_CONST(38771.075336/8.0),
- REAL_CONST(38789.786116/8.0),
- REAL_CONST(38808.499152/8.0),
- REAL_CONST(38827.214445/8.0),
- REAL_CONST(38845.931993/8.0),
- REAL_CONST(38864.651797/8.0),
- REAL_CONST(38883.373854/8.0),
- REAL_CONST(38902.098166/8.0),
- REAL_CONST(38920.824731/8.0),
- REAL_CONST(38939.553548/8.0),
- REAL_CONST(38958.284618/8.0),
- REAL_CONST(38977.017940/8.0),
- REAL_CONST(38995.753513/8.0),
- REAL_CONST(39014.491337/8.0),
- REAL_CONST(39033.231411/8.0),
- REAL_CONST(39051.973734/8.0),
- REAL_CONST(39070.718306/8.0),
- REAL_CONST(39089.465127/8.0),
- REAL_CONST(39108.214196/8.0),
- REAL_CONST(39126.965512/8.0),
- REAL_CONST(39145.719075/8.0),
- REAL_CONST(39164.474885/8.0),
- REAL_CONST(39183.232940/8.0),
- REAL_CONST(39201.993240/8.0),
- REAL_CONST(39220.755786/8.0),
- REAL_CONST(39239.520575/8.0),
- REAL_CONST(39258.287608/8.0),
- REAL_CONST(39277.056884/8.0),
- REAL_CONST(39295.828403/8.0),
- REAL_CONST(39314.602164/8.0),
- REAL_CONST(39333.378166/8.0),
- REAL_CONST(39352.156409/8.0),
- REAL_CONST(39370.936893/8.0),
- REAL_CONST(39389.719617/8.0),
- REAL_CONST(39408.504580/8.0),
- REAL_CONST(39427.291782/8.0),
- REAL_CONST(39446.081222/8.0),
- REAL_CONST(39464.872900/8.0),
- REAL_CONST(39483.666815/8.0),
- REAL_CONST(39502.462967/8.0),
- REAL_CONST(39521.261355/8.0),
- REAL_CONST(39540.061978/8.0),
- REAL_CONST(39558.864837/8.0),
- REAL_CONST(39577.669930/8.0),
- REAL_CONST(39596.477258/8.0),
- REAL_CONST(39615.286819/8.0),
- REAL_CONST(39634.098613/8.0),
- REAL_CONST(39652.912639/8.0),
- REAL_CONST(39671.728897/8.0),
- REAL_CONST(39690.547387/8.0),
- REAL_CONST(39709.368108/8.0),
- REAL_CONST(39728.191058/8.0),
- REAL_CONST(39747.016239/8.0),
- REAL_CONST(39765.843649/8.0),
- REAL_CONST(39784.673288/8.0),
- REAL_CONST(39803.505155/8.0),
- REAL_CONST(39822.339250/8.0),
- REAL_CONST(39841.175571/8.0),
- REAL_CONST(39860.014120/8.0),
- REAL_CONST(39878.854894/8.0),
- REAL_CONST(39897.697895/8.0),
- REAL_CONST(39916.543120/8.0),
- REAL_CONST(39935.390570/8.0),
- REAL_CONST(39954.240244/8.0),
- REAL_CONST(39973.092141/8.0),
- REAL_CONST(39991.946261/8.0),
- REAL_CONST(40010.802604/8.0),
- REAL_CONST(40029.661169/8.0),
- REAL_CONST(40048.521955/8.0),
- REAL_CONST(40067.384962/8.0),
- REAL_CONST(40086.250189/8.0),
- REAL_CONST(40105.117636/8.0),
- REAL_CONST(40123.987303/8.0),
- REAL_CONST(40142.859188/8.0),
- REAL_CONST(40161.733291/8.0),
- REAL_CONST(40180.609613/8.0),
- REAL_CONST(40199.488151/8.0),
- REAL_CONST(40218.368906/8.0),
- REAL_CONST(40237.251878/8.0),
- REAL_CONST(40256.137065/8.0),
- REAL_CONST(40275.024467/8.0),
- REAL_CONST(40293.914083/8.0),
- REAL_CONST(40312.805914/8.0),
- REAL_CONST(40331.699959/8.0),
- REAL_CONST(40350.596216/8.0),
- REAL_CONST(40369.494686/8.0),
- REAL_CONST(40388.395368/8.0),
- REAL_CONST(40407.298262/8.0),
- REAL_CONST(40426.203367/8.0),
- REAL_CONST(40445.110682/8.0),
- REAL_CONST(40464.020207/8.0),
- REAL_CONST(40482.931941/8.0),
- REAL_CONST(40501.845885/8.0),
- REAL_CONST(40520.762036/8.0),
- REAL_CONST(40539.680396/8.0),
- REAL_CONST(40558.600963/8.0),
- REAL_CONST(40577.523737/8.0),
- REAL_CONST(40596.448718/8.0),
- REAL_CONST(40615.375904/8.0),
- REAL_CONST(40634.305295/8.0),
- REAL_CONST(40653.236891/8.0),
- REAL_CONST(40672.170692/8.0),
- REAL_CONST(40691.106696/8.0),
- REAL_CONST(40710.044904/8.0),
- REAL_CONST(40728.985314/8.0),
- REAL_CONST(40747.927927/8.0),
- REAL_CONST(40766.872741/8.0),
- REAL_CONST(40785.819757/8.0),
- REAL_CONST(40804.768973/8.0),
- REAL_CONST(40823.720390/8.0),
- REAL_CONST(40842.674006/8.0),
- REAL_CONST(40861.629821/8.0),
- REAL_CONST(40880.587835/8.0),
- REAL_CONST(40899.548048/8.0),
- REAL_CONST(40918.510457/8.0),
- REAL_CONST(40937.475064/8.0),
- REAL_CONST(40956.441868/8.0),
- REAL_CONST(40975.410868/8.0),
- REAL_CONST(40994.382063/8.0),
- REAL_CONST(41013.355454/8.0),
- REAL_CONST(41032.331039/8.0),
- REAL_CONST(41051.308818/8.0),
- REAL_CONST(41070.288790/8.0),
- REAL_CONST(41089.270956/8.0),
- REAL_CONST(41108.255315/8.0),
- REAL_CONST(41127.241865/8.0),
- REAL_CONST(41146.230607/8.0),
- REAL_CONST(41165.221540/8.0),
- REAL_CONST(41184.214664/8.0),
- REAL_CONST(41203.209977/8.0),
- REAL_CONST(41222.207480/8.0),
- REAL_CONST(41241.207173/8.0),
- REAL_CONST(41260.209053/8.0),
- REAL_CONST(41279.213122/8.0),
- REAL_CONST(41298.219378/8.0),
- REAL_CONST(41317.227822/8.0),
- REAL_CONST(41336.238451/8.0),
- REAL_CONST(41355.251267/8.0),
- REAL_CONST(41374.266268/8.0),
- REAL_CONST(41393.283455/8.0),
- REAL_CONST(41412.302826/8.0),
- REAL_CONST(41431.324380/8.0),
- REAL_CONST(41450.348119/8.0),
- REAL_CONST(41469.374040/8.0),
- REAL_CONST(41488.402144/8.0),
- REAL_CONST(41507.432430/8.0),
- REAL_CONST(41526.464897/8.0),
- REAL_CONST(41545.499545/8.0),
- REAL_CONST(41564.536374/8.0),
- REAL_CONST(41583.575383/8.0),
- REAL_CONST(41602.616571/8.0),
- REAL_CONST(41621.659938/8.0),
- REAL_CONST(41640.705484/8.0),
- REAL_CONST(41659.753208/8.0),
- REAL_CONST(41678.803109/8.0),
- REAL_CONST(41697.855187/8.0),
- REAL_CONST(41716.909442/8.0),
- REAL_CONST(41735.965873/8.0),
- REAL_CONST(41755.024479/8.0),
- REAL_CONST(41774.085261/8.0),
- REAL_CONST(41793.148217/8.0),
- REAL_CONST(41812.213347/8.0),
- REAL_CONST(41831.280650/8.0),
- REAL_CONST(41850.350126/8.0),
- REAL_CONST(41869.421775/8.0),
- REAL_CONST(41888.495597/8.0),
- REAL_CONST(41907.571589/8.0),
- REAL_CONST(41926.649753/8.0),
- REAL_CONST(41945.730087/8.0),
- REAL_CONST(41964.812591/8.0),
- REAL_CONST(41983.897265/8.0),
- REAL_CONST(42002.984108/8.0),
- REAL_CONST(42022.073120/8.0),
- REAL_CONST(42041.164299/8.0),
- REAL_CONST(42060.257647/8.0),
- REAL_CONST(42079.353161/8.0),
- REAL_CONST(42098.450842/8.0),
- REAL_CONST(42117.550689/8.0),
- REAL_CONST(42136.652702/8.0),
- REAL_CONST(42155.756880/8.0),
- REAL_CONST(42174.863222/8.0),
- REAL_CONST(42193.971729/8.0),
- REAL_CONST(42213.082399/8.0),
- REAL_CONST(42232.195233/8.0),
- REAL_CONST(42251.310229/8.0),
- REAL_CONST(42270.427388/8.0),
- REAL_CONST(42289.546708/8.0),
- REAL_CONST(42308.668190/8.0),
- REAL_CONST(42327.791832/8.0),
- REAL_CONST(42346.917634/8.0),
- REAL_CONST(42366.045596/8.0),
- REAL_CONST(42385.175718/8.0),
- REAL_CONST(42404.307998/8.0),
- REAL_CONST(42423.442437/8.0),
- REAL_CONST(42442.579033/8.0),
- REAL_CONST(42461.717787/8.0),
- REAL_CONST(42480.858697/8.0),
- REAL_CONST(42500.001764/8.0),
- REAL_CONST(42519.146987/8.0),
- REAL_CONST(42538.294365/8.0),
- REAL_CONST(42557.443898/8.0),
- REAL_CONST(42576.595586/8.0),
- REAL_CONST(42595.749427/8.0),
- REAL_CONST(42614.905422/8.0),
- REAL_CONST(42634.063570/8.0),
- REAL_CONST(42653.223870/8.0),
- REAL_CONST(42672.386323/8.0),
- REAL_CONST(42691.550926/8.0),
- REAL_CONST(42710.717681/8.0),
- REAL_CONST(42729.886587/8.0),
- REAL_CONST(42749.057642/8.0),
- REAL_CONST(42768.230847/8.0),
- REAL_CONST(42787.406201/8.0),
- REAL_CONST(42806.583704/8.0),
- REAL_CONST(42825.763355/8.0),
- REAL_CONST(42844.945154/8.0),
- REAL_CONST(42864.129099/8.0),
- REAL_CONST(42883.315192/8.0),
- REAL_CONST(42902.503431/8.0),
- REAL_CONST(42921.693815/8.0),
- REAL_CONST(42940.886345/8.0),
- REAL_CONST(42960.081019/8.0),
- REAL_CONST(42979.277838/8.0),
- REAL_CONST(42998.476800/8.0),
- REAL_CONST(43017.677906/8.0),
- REAL_CONST(43036.881155/8.0),
- REAL_CONST(43056.086546/8.0),
- REAL_CONST(43075.294079/8.0),
- REAL_CONST(43094.503754/8.0),
- REAL_CONST(43113.715569/8.0),
- REAL_CONST(43132.929525/8.0),
- REAL_CONST(43152.145621/8.0),
- REAL_CONST(43171.363856/8.0),
- REAL_CONST(43190.584231/8.0),
- REAL_CONST(43209.806744/8.0),
- REAL_CONST(43229.031395/8.0),
- REAL_CONST(43248.258183/8.0),
- REAL_CONST(43267.487109/8.0),
- REAL_CONST(43286.718172/8.0),
- REAL_CONST(43305.951370/8.0),
- REAL_CONST(43325.186705/8.0),
- REAL_CONST(43344.424175/8.0),
- REAL_CONST(43363.663779/8.0),
- REAL_CONST(43382.905518/8.0),
- REAL_CONST(43402.149390/8.0),
- REAL_CONST(43421.395396/8.0),
- REAL_CONST(43440.643535/8.0),
- REAL_CONST(43459.893806/8.0),
- REAL_CONST(43479.146209/8.0),
- REAL_CONST(43498.400744/8.0),
- REAL_CONST(43517.657409/8.0),
- REAL_CONST(43536.916206/8.0),
- REAL_CONST(43556.177132/8.0),
- REAL_CONST(43575.440187/8.0),
- REAL_CONST(43594.705372/8.0),
- REAL_CONST(43613.972686/8.0),
- REAL_CONST(43633.242127/8.0),
- REAL_CONST(43652.513697/8.0),
- REAL_CONST(43671.787393/8.0),
- REAL_CONST(43691.063216/8.0),
- REAL_CONST(43710.341166/8.0),
- REAL_CONST(43729.621241/8.0),
- REAL_CONST(43748.903442/8.0),
- REAL_CONST(43768.187767/8.0),
- REAL_CONST(43787.474217/8.0),
- REAL_CONST(43806.762791/8.0),
- REAL_CONST(43826.053489/8.0),
- REAL_CONST(43845.346309/8.0),
- REAL_CONST(43864.641252/8.0),
- REAL_CONST(43883.938317/8.0),
- REAL_CONST(43903.237504/8.0),
- REAL_CONST(43922.538812/8.0),
- REAL_CONST(43941.842240/8.0),
- REAL_CONST(43961.147789/8.0),
- REAL_CONST(43980.455457/8.0),
- REAL_CONST(43999.765245/8.0),
- REAL_CONST(44019.077151/8.0),
- REAL_CONST(44038.391176/8.0),
- REAL_CONST(44057.707319/8.0),
- REAL_CONST(44077.025579/8.0),
- REAL_CONST(44096.345956/8.0),
- REAL_CONST(44115.668450/8.0),
- REAL_CONST(44134.993059/8.0),
- REAL_CONST(44154.319784/8.0),
- REAL_CONST(44173.648625/8.0),
- REAL_CONST(44192.979580/8.0),
- REAL_CONST(44212.312649/8.0),
- REAL_CONST(44231.647831/8.0),
- REAL_CONST(44250.985127/8.0),
- REAL_CONST(44270.324536/8.0),
- REAL_CONST(44289.666057/8.0),
- REAL_CONST(44309.009690/8.0),
- REAL_CONST(44328.355435/8.0),
- REAL_CONST(44347.703290/8.0),
- REAL_CONST(44367.053256/8.0),
- REAL_CONST(44386.405332/8.0),
- REAL_CONST(44405.759517/8.0),
- REAL_CONST(44425.115812/8.0),
- REAL_CONST(44444.474215/8.0),
- REAL_CONST(44463.834726/8.0),
- REAL_CONST(44483.197346/8.0),
- REAL_CONST(44502.562072/8.0),
- REAL_CONST(44521.928905/8.0),
- REAL_CONST(44541.297845/8.0),
- REAL_CONST(44560.668890/8.0),
- REAL_CONST(44580.042041/8.0),
- REAL_CONST(44599.417297/8.0),
- REAL_CONST(44618.794657/8.0),
- REAL_CONST(44638.174121/8.0),
- REAL_CONST(44657.555689/8.0),
- REAL_CONST(44676.939361/8.0),
- REAL_CONST(44696.325134/8.0),
- REAL_CONST(44715.713011/8.0),
- REAL_CONST(44735.102988/8.0),
- REAL_CONST(44754.495068/8.0),
- REAL_CONST(44773.889248/8.0),
- REAL_CONST(44793.285528/8.0),
- REAL_CONST(44812.683909/8.0),
- REAL_CONST(44832.084388/8.0),
- REAL_CONST(44851.486967/8.0),
- REAL_CONST(44870.891645/8.0),
- REAL_CONST(44890.298421/8.0),
- REAL_CONST(44909.707294/8.0),
- REAL_CONST(44929.118265/8.0),
- REAL_CONST(44948.531332/8.0),
- REAL_CONST(44967.946496/8.0),
- REAL_CONST(44987.363756/8.0),
- REAL_CONST(45006.783111/8.0),
- REAL_CONST(45026.204561/8.0),
- REAL_CONST(45045.628105/8.0),
- REAL_CONST(45065.053744/8.0),
- REAL_CONST(45084.481476/8.0),
- REAL_CONST(45103.911302/8.0),
- REAL_CONST(45123.343220/8.0),
- REAL_CONST(45142.777230/8.0),
- REAL_CONST(45162.213333/8.0),
- REAL_CONST(45181.651526/8.0),
- REAL_CONST(45201.091811/8.0),
- REAL_CONST(45220.534186/8.0),
- REAL_CONST(45239.978651/8.0),
- REAL_CONST(45259.425205/8.0),
- REAL_CONST(45278.873849/8.0),
- REAL_CONST(45298.324581/8.0),
- REAL_CONST(45317.777402/8.0),
- REAL_CONST(45337.232310/8.0),
- REAL_CONST(45356.689306/8.0),
- REAL_CONST(45376.148388/8.0),
- REAL_CONST(45395.609557/8.0),
- REAL_CONST(45415.072812/8.0),
- REAL_CONST(45434.538153/8.0),
- REAL_CONST(45454.005578/8.0),
- REAL_CONST(45473.475088/8.0),
- REAL_CONST(45492.946683/8.0),
- REAL_CONST(45512.420361/8.0),
- REAL_CONST(45531.896122/8.0),
- REAL_CONST(45551.373967/8.0),
- REAL_CONST(45570.853893/8.0),
- REAL_CONST(45590.335902/8.0),
- REAL_CONST(45609.819992/8.0),
- REAL_CONST(45629.306164/8.0),
- REAL_CONST(45648.794416/8.0),
- REAL_CONST(45668.284748/8.0),
- REAL_CONST(45687.777160/8.0),
- REAL_CONST(45707.271651/8.0),
- REAL_CONST(45726.768221/8.0),
- REAL_CONST(45746.266869/8.0),
- REAL_CONST(45765.767596/8.0),
- REAL_CONST(45785.270400/8.0),
- REAL_CONST(45804.775281/8.0),
- REAL_CONST(45824.282238/8.0),
- REAL_CONST(45843.791272/8.0),
- REAL_CONST(45863.302382/8.0),
- REAL_CONST(45882.815567/8.0),
- REAL_CONST(45902.330827/8.0),
- REAL_CONST(45921.848161/8.0),
- REAL_CONST(45941.367569/8.0),
- REAL_CONST(45960.889051/8.0),
- REAL_CONST(45980.412606/8.0),
- REAL_CONST(45999.938233/8.0),
- REAL_CONST(46019.465933/8.0),
- REAL_CONST(46038.995705/8.0),
- REAL_CONST(46058.527548/8.0),
- REAL_CONST(46078.061462/8.0),
- REAL_CONST(46097.597446/8.0),
- REAL_CONST(46117.135501/8.0),
- REAL_CONST(46136.675625/8.0),
- REAL_CONST(46156.217818/8.0),
- REAL_CONST(46175.762080/8.0),
- REAL_CONST(46195.308410/8.0),
- REAL_CONST(46214.856808/8.0),
- REAL_CONST(46234.407273/8.0),
- REAL_CONST(46253.959806/8.0),
- REAL_CONST(46273.514405/8.0),
- REAL_CONST(46293.071070/8.0),
- REAL_CONST(46312.629800/8.0),
- REAL_CONST(46332.190596/8.0),
- REAL_CONST(46351.753457/8.0),
- REAL_CONST(46371.318382/8.0),
- REAL_CONST(46390.885371/8.0),
- REAL_CONST(46410.454424/8.0),
- REAL_CONST(46430.025539/8.0),
- REAL_CONST(46449.598717/8.0),
- REAL_CONST(46469.173958/8.0),
- REAL_CONST(46488.751260/8.0),
- REAL_CONST(46508.330623/8.0),
- REAL_CONST(46527.912048/8.0),
- REAL_CONST(46547.495532/8.0),
- REAL_CONST(46567.081077/8.0),
- REAL_CONST(46586.668681/8.0),
- REAL_CONST(46606.258345/8.0),
- REAL_CONST(46625.850067/8.0),
- REAL_CONST(46645.443847/8.0),
- REAL_CONST(46665.039686/8.0),
- REAL_CONST(46684.637581/8.0),
- REAL_CONST(46704.237534/8.0),
- REAL_CONST(46723.839543/8.0),
- REAL_CONST(46743.443609/8.0),
- REAL_CONST(46763.049730/8.0),
- REAL_CONST(46782.657906/8.0),
- REAL_CONST(46802.268137/8.0),
- REAL_CONST(46821.880423/8.0),
- REAL_CONST(46841.494762/8.0),
- REAL_CONST(46861.111155/8.0),
- REAL_CONST(46880.729601/8.0),
- REAL_CONST(46900.350100/8.0),
- REAL_CONST(46919.972651/8.0),
- REAL_CONST(46939.597254/8.0),
- REAL_CONST(46959.223908/8.0),
- REAL_CONST(46978.852613/8.0),
- REAL_CONST(46998.483369/8.0),
- REAL_CONST(47018.116175/8.0),
- REAL_CONST(47037.751030/8.0),
- REAL_CONST(47057.387935/8.0),
- REAL_CONST(47077.026889/8.0),
- REAL_CONST(47096.667891/8.0),
- REAL_CONST(47116.310941/8.0),
- REAL_CONST(47135.956038/8.0),
- REAL_CONST(47155.603183/8.0),
- REAL_CONST(47175.252374/8.0),
- REAL_CONST(47194.903611/8.0),
- REAL_CONST(47214.556895/8.0),
- REAL_CONST(47234.212223/8.0),
- REAL_CONST(47253.869597/8.0),
- REAL_CONST(47273.529016/8.0),
- REAL_CONST(47293.190478/8.0),
- REAL_CONST(47312.853984/8.0),
- REAL_CONST(47332.519533/8.0),
- REAL_CONST(47352.187126/8.0),
- REAL_CONST(47371.856760/8.0),
- REAL_CONST(47391.528437/8.0),
- REAL_CONST(47411.202155/8.0),
- REAL_CONST(47430.877915/8.0),
- REAL_CONST(47450.555715/8.0),
- REAL_CONST(47470.235556/8.0),
- REAL_CONST(47489.917436/8.0),
- REAL_CONST(47509.601356/8.0),
- REAL_CONST(47529.287315/8.0),
- REAL_CONST(47548.975312/8.0),
- REAL_CONST(47568.665348/8.0),
- REAL_CONST(47588.357421/8.0),
- REAL_CONST(47608.051532/8.0),
- REAL_CONST(47627.747680/8.0),
- REAL_CONST(47647.445864/8.0),
- REAL_CONST(47667.146085/8.0),
- REAL_CONST(47686.848341/8.0),
- REAL_CONST(47706.552632/8.0),
- REAL_CONST(47726.258958/8.0),
- REAL_CONST(47745.967319/8.0),
- REAL_CONST(47765.677714/8.0),
- REAL_CONST(47785.390142/8.0),
- REAL_CONST(47805.104603/8.0),
- REAL_CONST(47824.821097/8.0),
- REAL_CONST(47844.539623/8.0),
- REAL_CONST(47864.260181/8.0),
- REAL_CONST(47883.982771/8.0),
- REAL_CONST(47903.707392/8.0),
- REAL_CONST(47923.434043/8.0),
- REAL_CONST(47943.162725/8.0),
- REAL_CONST(47962.893436/8.0),
- REAL_CONST(47982.626177/8.0),
- REAL_CONST(48002.360947/8.0),
- REAL_CONST(48022.097745/8.0),
- REAL_CONST(48041.836572/8.0),
- REAL_CONST(48061.577426/8.0),
- REAL_CONST(48081.320307/8.0),
- REAL_CONST(48101.065216/8.0),
- REAL_CONST(48120.812151/8.0),
- REAL_CONST(48140.561112/8.0),
- REAL_CONST(48160.312098/8.0),
- REAL_CONST(48180.065110/8.0),
- REAL_CONST(48199.820146/8.0),
- REAL_CONST(48219.577207/8.0),
- REAL_CONST(48239.336292/8.0),
- REAL_CONST(48259.097401/8.0),
- REAL_CONST(48278.860533/8.0),
- REAL_CONST(48298.625687/8.0),
- REAL_CONST(48318.392864/8.0),
- REAL_CONST(48338.162062/8.0),
- REAL_CONST(48357.933282/8.0),
- REAL_CONST(48377.706524/8.0),
- REAL_CONST(48397.481785/8.0),
- REAL_CONST(48417.259068/8.0),
- REAL_CONST(48437.038369/8.0),
- REAL_CONST(48456.819691/8.0),
- REAL_CONST(48476.603031/8.0),
- REAL_CONST(48496.388390/8.0),
- REAL_CONST(48516.175767/8.0),
- REAL_CONST(48535.965162/8.0),
- REAL_CONST(48555.756575/8.0),
- REAL_CONST(48575.550004/8.0),
- REAL_CONST(48595.345450/8.0),
- REAL_CONST(48615.142912/8.0),
- REAL_CONST(48634.942390/8.0),
- REAL_CONST(48654.743883/8.0),
- REAL_CONST(48674.547391/8.0),
- REAL_CONST(48694.352913/8.0),
- REAL_CONST(48714.160450/8.0),
- REAL_CONST(48733.970000/8.0),
- REAL_CONST(48753.781563/8.0),
- REAL_CONST(48773.595140/8.0),
- REAL_CONST(48793.410728/8.0),
- REAL_CONST(48813.228329/8.0),
- REAL_CONST(48833.047942/8.0),
- REAL_CONST(48852.869565/8.0),
- REAL_CONST(48872.693200/8.0),
- REAL_CONST(48892.518845/8.0),
- REAL_CONST(48912.346500/8.0),
- REAL_CONST(48932.176164/8.0),
- REAL_CONST(48952.007838/8.0),
- REAL_CONST(48971.841520/8.0),
- REAL_CONST(48991.677211/8.0),
- REAL_CONST(49011.514910/8.0),
- REAL_CONST(49031.354616/8.0),
- REAL_CONST(49051.196330/8.0),
- REAL_CONST(49071.040050/8.0),
- REAL_CONST(49090.885777/8.0),
- REAL_CONST(49110.733509/8.0),
- REAL_CONST(49130.583247/8.0),
- REAL_CONST(49150.434991/8.0),
- REAL_CONST(49170.288739/8.0),
- REAL_CONST(49190.144491/8.0),
- REAL_CONST(49210.002247/8.0),
- REAL_CONST(49229.862007/8.0),
- REAL_CONST(49249.723769/8.0),
- REAL_CONST(49269.587535/8.0),
- REAL_CONST(49289.453303/8.0),
- REAL_CONST(49309.321072/8.0),
- REAL_CONST(49329.190843/8.0),
- REAL_CONST(49349.062616/8.0),
- REAL_CONST(49368.936388/8.0),
- REAL_CONST(49388.812162/8.0),
- REAL_CONST(49408.689935/8.0),
- REAL_CONST(49428.569707/8.0),
- REAL_CONST(49448.451479/8.0),
- REAL_CONST(49468.335249/8.0),
- REAL_CONST(49488.221018/8.0),
- REAL_CONST(49508.108784/8.0),
- REAL_CONST(49527.998548/8.0),
- REAL_CONST(49547.890309/8.0),
- REAL_CONST(49567.784066/8.0),
- REAL_CONST(49587.679820/8.0),
- REAL_CONST(49607.577570/8.0),
- REAL_CONST(49627.477315/8.0),
- REAL_CONST(49647.379055/8.0),
- REAL_CONST(49667.282790/8.0),
- REAL_CONST(49687.188520/8.0),
- REAL_CONST(49707.096243/8.0),
- REAL_CONST(49727.005959/8.0),
- REAL_CONST(49746.917669/8.0),
- REAL_CONST(49766.831371/8.0),
- REAL_CONST(49786.747065/8.0),
- REAL_CONST(49806.664752/8.0),
- REAL_CONST(49826.584430/8.0),
- REAL_CONST(49846.506098/8.0),
- REAL_CONST(49866.429758/8.0),
- REAL_CONST(49886.355408/8.0),
- REAL_CONST(49906.283048/8.0),
- REAL_CONST(49926.212677/8.0),
- REAL_CONST(49946.144295/8.0),
- REAL_CONST(49966.077902/8.0),
- REAL_CONST(49986.013497/8.0),
- REAL_CONST(50005.951081/8.0),
- REAL_CONST(50025.890651/8.0),
- REAL_CONST(50045.832209/8.0),
- REAL_CONST(50065.775753/8.0),
- REAL_CONST(50085.721284/8.0),
- REAL_CONST(50105.668801/8.0),
- REAL_CONST(50125.618303/8.0),
- REAL_CONST(50145.569791/8.0),
- REAL_CONST(50165.523263/8.0),
- REAL_CONST(50185.478719/8.0),
- REAL_CONST(50205.436159/8.0),
- REAL_CONST(50225.395583/8.0),
- REAL_CONST(50245.356990/8.0),
- REAL_CONST(50265.320380/8.0),
- REAL_CONST(50285.285752/8.0),
- REAL_CONST(50305.253106/8.0),
- REAL_CONST(50325.222442/8.0),
- REAL_CONST(50345.193759/8.0),
- REAL_CONST(50365.167057/8.0),
- REAL_CONST(50385.142335/8.0),
- REAL_CONST(50405.119593/8.0),
- REAL_CONST(50425.098831/8.0),
- REAL_CONST(50445.080047/8.0),
- REAL_CONST(50465.063243/8.0),
- REAL_CONST(50485.048417/8.0),
- REAL_CONST(50505.035570/8.0),
- REAL_CONST(50525.024699/8.0),
- REAL_CONST(50545.015807/8.0),
- REAL_CONST(50565.008891/8.0),
- REAL_CONST(50585.003951/8.0),
- REAL_CONST(50605.000988/8.0),
- REAL_CONST(50625.000000/8.0),
- REAL_CONST(50645.000988/8.0),
- REAL_CONST(50665.003950/8.0),
- REAL_CONST(50685.008887/8.0),
- REAL_CONST(50705.015798/8.0),
- REAL_CONST(50725.024683/8.0),
- REAL_CONST(50745.035542/8.0),
- REAL_CONST(50765.048373/8.0),
- REAL_CONST(50785.063177/8.0),
- REAL_CONST(50805.079953/8.0),
- REAL_CONST(50825.098700/8.0),
- REAL_CONST(50845.119420/8.0),
- REAL_CONST(50865.142110/8.0),
- REAL_CONST(50885.166771/8.0),
- REAL_CONST(50905.193402/8.0),
- REAL_CONST(50925.222003/8.0),
- REAL_CONST(50945.252574/8.0),
- REAL_CONST(50965.285113/8.0),
- REAL_CONST(50985.319622/8.0),
- REAL_CONST(51005.356098/8.0),
- REAL_CONST(51025.394543/8.0),
- REAL_CONST(51045.434955/8.0),
- REAL_CONST(51065.477334/8.0),
- REAL_CONST(51085.521680/8.0),
- REAL_CONST(51105.567993/8.0),
- REAL_CONST(51125.616271/8.0),
- REAL_CONST(51145.666515/8.0),
- REAL_CONST(51165.718724/8.0),
- REAL_CONST(51185.772898/8.0),
- REAL_CONST(51205.829037/8.0),
- REAL_CONST(51225.887140/8.0),
- REAL_CONST(51245.947206/8.0),
- REAL_CONST(51266.009235/8.0),
- REAL_CONST(51286.073228/8.0),
- REAL_CONST(51306.139183/8.0),
- REAL_CONST(51326.207100/8.0),
- REAL_CONST(51346.276979/8.0),
- REAL_CONST(51366.348820/8.0),
- REAL_CONST(51386.422621/8.0),
- REAL_CONST(51406.498383/8.0),
- REAL_CONST(51426.576105/8.0),
- REAL_CONST(51446.655787/8.0),
- REAL_CONST(51466.737429/8.0),
- REAL_CONST(51486.821030/8.0),
- REAL_CONST(51506.906589/8.0),
- REAL_CONST(51526.994107/8.0),
- REAL_CONST(51547.083582/8.0),
- REAL_CONST(51567.175016/8.0),
- REAL_CONST(51587.268406/8.0),
- REAL_CONST(51607.363753/8.0),
- REAL_CONST(51627.461057/8.0),
- REAL_CONST(51647.560316/8.0),
- REAL_CONST(51667.661532/8.0),
- REAL_CONST(51687.764702/8.0),
- REAL_CONST(51707.869828/8.0),
- REAL_CONST(51727.976908/8.0),
- REAL_CONST(51748.085942/8.0),
- REAL_CONST(51768.196930/8.0),
- REAL_CONST(51788.309871/8.0),
- REAL_CONST(51808.424765/8.0),
- REAL_CONST(51828.541612/8.0),
- REAL_CONST(51848.660411/8.0),
- REAL_CONST(51868.781162/8.0),
- REAL_CONST(51888.903864/8.0),
- REAL_CONST(51909.028518/8.0),
- REAL_CONST(51929.155122/8.0),
- REAL_CONST(51949.283677/8.0),
- REAL_CONST(51969.414181/8.0),
- REAL_CONST(51989.546636/8.0),
- REAL_CONST(52009.681039/8.0),
- REAL_CONST(52029.817391/8.0),
- REAL_CONST(52049.955692/8.0),
- REAL_CONST(52070.095941/8.0),
- REAL_CONST(52090.238137/8.0),
- REAL_CONST(52110.382281/8.0),
- REAL_CONST(52130.528372/8.0),
- REAL_CONST(52150.676409/8.0),
- REAL_CONST(52170.826393/8.0),
- REAL_CONST(52190.978322/8.0),
- REAL_CONST(52211.132197/8.0),
- REAL_CONST(52231.288017/8.0),
- REAL_CONST(52251.445781/8.0),
- REAL_CONST(52271.605490/8.0),
- REAL_CONST(52291.767143/8.0),
- REAL_CONST(52311.930739/8.0),
- REAL_CONST(52332.096279/8.0),
- REAL_CONST(52352.263761/8.0),
- REAL_CONST(52372.433186/8.0),
- REAL_CONST(52392.604553/8.0),
- REAL_CONST(52412.777862/8.0),
- REAL_CONST(52432.953112/8.0),
- REAL_CONST(52453.130303/8.0),
- REAL_CONST(52473.309434/8.0),
- REAL_CONST(52493.490506/8.0),
- REAL_CONST(52513.673518/8.0),
- REAL_CONST(52533.858469/8.0),
- REAL_CONST(52554.045359/8.0),
- REAL_CONST(52574.234188/8.0),
- REAL_CONST(52594.424955/8.0),
- REAL_CONST(52614.617660/8.0),
- REAL_CONST(52634.812303/8.0),
- REAL_CONST(52655.008883/8.0),
- REAL_CONST(52675.207400/8.0),
- REAL_CONST(52695.407853/8.0),
- REAL_CONST(52715.610242/8.0),
- REAL_CONST(52735.814568/8.0),
- REAL_CONST(52756.020828/8.0),
- REAL_CONST(52776.229024/8.0),
- REAL_CONST(52796.439154/8.0),
- REAL_CONST(52816.651218/8.0),
- REAL_CONST(52836.865217/8.0),
- REAL_CONST(52857.081149/8.0),
- REAL_CONST(52877.299014/8.0),
- REAL_CONST(52897.518811/8.0),
- REAL_CONST(52917.740542/8.0),
- REAL_CONST(52937.964204/8.0),
- REAL_CONST(52958.189798/8.0),
- REAL_CONST(52978.417323/8.0),
- REAL_CONST(52998.646779/8.0),
- REAL_CONST(53018.878166/8.0),
- REAL_CONST(53039.111483/8.0),
- REAL_CONST(53059.346730/8.0),
- REAL_CONST(53079.583906/8.0),
- REAL_CONST(53099.823011/8.0),
- REAL_CONST(53120.064045/8.0),
- REAL_CONST(53140.307008/8.0),
- REAL_CONST(53160.551898/8.0),
- REAL_CONST(53180.798716/8.0),
- REAL_CONST(53201.047462/8.0),
- REAL_CONST(53221.298134/8.0),
- REAL_CONST(53241.550732/8.0),
- REAL_CONST(53261.805257/8.0),
- REAL_CONST(53282.061708/8.0),
- REAL_CONST(53302.320084/8.0),
- REAL_CONST(53322.580385/8.0),
- REAL_CONST(53342.842611/8.0),
- REAL_CONST(53363.106761/8.0),
- REAL_CONST(53383.372835/8.0),
- REAL_CONST(53403.640833/8.0),
- REAL_CONST(53423.910754/8.0),
- REAL_CONST(53444.182598/8.0),
- REAL_CONST(53464.456364/8.0),
- REAL_CONST(53484.732053/8.0),
- REAL_CONST(53505.009663/8.0),
- REAL_CONST(53525.289195/8.0),
- REAL_CONST(53545.570648/8.0),
- REAL_CONST(53565.854021/8.0),
- REAL_CONST(53586.139315/8.0),
- REAL_CONST(53606.426528/8.0),
- REAL_CONST(53626.715662/8.0),
- REAL_CONST(53647.006714/8.0),
- REAL_CONST(53667.299685/8.0),
- REAL_CONST(53687.594575/8.0),
- REAL_CONST(53707.891383/8.0),
- REAL_CONST(53728.190109/8.0),
- REAL_CONST(53748.490752/8.0),
- REAL_CONST(53768.793313/8.0),
- REAL_CONST(53789.097790/8.0),
- REAL_CONST(53809.404183/8.0),
- REAL_CONST(53829.712492/8.0),
- REAL_CONST(53850.022717/8.0),
- REAL_CONST(53870.334857/8.0),
- REAL_CONST(53890.648912/8.0),
- REAL_CONST(53910.964882/8.0),
- REAL_CONST(53931.282765/8.0),
- REAL_CONST(53951.602563/8.0),
- REAL_CONST(53971.924274/8.0),
- REAL_CONST(53992.247898/8.0),
- REAL_CONST(54012.573434/8.0),
- REAL_CONST(54032.900883/8.0),
- REAL_CONST(54053.230245/8.0),
- REAL_CONST(54073.561517/8.0),
- REAL_CONST(54093.894701/8.0),
- REAL_CONST(54114.229796/8.0),
- REAL_CONST(54134.566802/8.0),
- REAL_CONST(54154.905717/8.0),
- REAL_CONST(54175.246543/8.0),
- REAL_CONST(54195.589278/8.0),
- REAL_CONST(54215.933922/8.0),
- REAL_CONST(54236.280475/8.0),
- REAL_CONST(54256.628937/8.0),
- REAL_CONST(54276.979306/8.0),
- REAL_CONST(54297.331583/8.0),
- REAL_CONST(54317.685768/8.0),
- REAL_CONST(54338.041859/8.0),
- REAL_CONST(54358.399857/8.0),
- REAL_CONST(54378.759761/8.0),
- REAL_CONST(54399.121572/8.0),
- REAL_CONST(54419.485287/8.0),
- REAL_CONST(54439.850908/8.0),
- REAL_CONST(54460.218434/8.0),
- REAL_CONST(54480.587865/8.0),
- REAL_CONST(54500.959199/8.0),
- REAL_CONST(54521.332437/8.0),
- REAL_CONST(54541.707579/8.0),
- REAL_CONST(54562.084624/8.0),
- REAL_CONST(54582.463571/8.0),
- REAL_CONST(54602.844421/8.0),
- REAL_CONST(54623.227173/8.0),
- REAL_CONST(54643.611826/8.0),
- REAL_CONST(54663.998381/8.0),
- REAL_CONST(54684.386836/8.0),
- REAL_CONST(54704.777193/8.0),
- REAL_CONST(54725.169449/8.0),
- REAL_CONST(54745.563605/8.0),
- REAL_CONST(54765.959661/8.0),
- REAL_CONST(54786.357616/8.0),
- REAL_CONST(54806.757470/8.0),
- REAL_CONST(54827.159222/8.0),
- REAL_CONST(54847.562872/8.0),
- REAL_CONST(54867.968421/8.0),
- REAL_CONST(54888.375866/8.0),
- REAL_CONST(54908.785209/8.0),
- REAL_CONST(54929.196448/8.0),
- REAL_CONST(54949.609583/8.0),
- REAL_CONST(54970.024615/8.0),
- REAL_CONST(54990.441542/8.0),
- REAL_CONST(55010.860365/8.0),
- REAL_CONST(55031.281082/8.0),
- REAL_CONST(55051.703694/8.0),
- REAL_CONST(55072.128200/8.0),
- REAL_CONST(55092.554600/8.0),
- REAL_CONST(55112.982894/8.0),
- REAL_CONST(55133.413081/8.0),
- REAL_CONST(55153.845160/8.0),
- REAL_CONST(55174.279132/8.0),
- REAL_CONST(55194.714997/8.0),
- REAL_CONST(55215.152753/8.0),
- REAL_CONST(55235.592400/8.0),
- REAL_CONST(55256.033938/8.0),
- REAL_CONST(55276.477368/8.0),
- REAL_CONST(55296.922687/8.0),
- REAL_CONST(55317.369897/8.0),
- REAL_CONST(55337.818996/8.0),
- REAL_CONST(55358.269985/8.0),
- REAL_CONST(55378.722862/8.0),
- REAL_CONST(55399.177628/8.0),
- REAL_CONST(55419.634283/8.0),
- REAL_CONST(55440.092825/8.0),
- REAL_CONST(55460.553255/8.0),
- REAL_CONST(55481.015572/8.0),
- REAL_CONST(55501.479776/8.0),
- REAL_CONST(55521.945867/8.0),
- REAL_CONST(55542.413844/8.0),
- REAL_CONST(55562.883706/8.0),
- REAL_CONST(55583.355455/8.0),
- REAL_CONST(55603.829088/8.0),
- REAL_CONST(55624.304606/8.0),
- REAL_CONST(55644.782009/8.0),
- REAL_CONST(55665.261295/8.0),
- REAL_CONST(55685.742466/8.0),
- REAL_CONST(55706.225519/8.0),
- REAL_CONST(55726.710456/8.0),
- REAL_CONST(55747.197276/8.0),
- REAL_CONST(55767.685978/8.0),
- REAL_CONST(55788.176562/8.0),
- REAL_CONST(55808.669028/8.0),
- REAL_CONST(55829.163375/8.0),
- REAL_CONST(55849.659603/8.0),
- REAL_CONST(55870.157711/8.0),
- REAL_CONST(55890.657700/8.0),
- REAL_CONST(55911.159569/8.0),
- REAL_CONST(55931.663318/8.0),
- REAL_CONST(55952.168946/8.0),
- REAL_CONST(55972.676452/8.0),
- REAL_CONST(55993.185838/8.0),
- REAL_CONST(56013.697101/8.0),
- REAL_CONST(56034.210243/8.0),
- REAL_CONST(56054.725262/8.0),
- REAL_CONST(56075.242158/8.0),
- REAL_CONST(56095.760931/8.0),
- REAL_CONST(56116.281580/8.0),
- REAL_CONST(56136.804106/8.0),
- REAL_CONST(56157.328508/8.0),
- REAL_CONST(56177.854785/8.0),
- REAL_CONST(56198.382937/8.0),
- REAL_CONST(56218.912964/8.0),
- REAL_CONST(56239.444865/8.0),
- REAL_CONST(56259.978641/8.0),
- REAL_CONST(56280.514290/8.0),
- REAL_CONST(56301.051813/8.0),
- REAL_CONST(56321.591209/8.0),
- REAL_CONST(56342.132478/8.0),
- REAL_CONST(56362.675619/8.0),
- REAL_CONST(56383.220632/8.0),
- REAL_CONST(56403.767517/8.0),
- REAL_CONST(56424.316273/8.0),
- REAL_CONST(56444.866900/8.0),
- REAL_CONST(56465.419398/8.0),
- REAL_CONST(56485.973766/8.0),
- REAL_CONST(56506.530005/8.0),
- REAL_CONST(56527.088113/8.0),
- REAL_CONST(56547.648090/8.0),
- REAL_CONST(56568.209937/8.0),
- REAL_CONST(56588.773652/8.0),
- REAL_CONST(56609.339235/8.0),
- REAL_CONST(56629.906686/8.0),
- REAL_CONST(56650.476005/8.0),
- REAL_CONST(56671.047192/8.0),
- REAL_CONST(56691.620245/8.0),
- REAL_CONST(56712.195165/8.0),
- REAL_CONST(56732.771951/8.0),
- REAL_CONST(56753.350603/8.0),
- REAL_CONST(56773.931121/8.0),
- REAL_CONST(56794.513504/8.0),
- REAL_CONST(56815.097752/8.0),
- REAL_CONST(56835.683865/8.0),
- REAL_CONST(56856.271842/8.0),
- REAL_CONST(56876.861682/8.0),
- REAL_CONST(56897.453387/8.0),
- REAL_CONST(56918.046954/8.0),
- REAL_CONST(56938.642385/8.0),
- REAL_CONST(56959.239678/8.0),
- REAL_CONST(56979.838833/8.0),
- REAL_CONST(57000.439850/8.0),
- REAL_CONST(57021.042729/8.0),
- REAL_CONST(57041.647469/8.0),
- REAL_CONST(57062.254070/8.0),
- REAL_CONST(57082.862532/8.0),
- REAL_CONST(57103.472853/8.0),
- REAL_CONST(57124.085035/8.0),
- REAL_CONST(57144.699076/8.0),
- REAL_CONST(57165.314977/8.0),
- REAL_CONST(57185.932736/8.0),
- REAL_CONST(57206.552354/8.0),
- REAL_CONST(57227.173830/8.0),
- REAL_CONST(57247.797163/8.0),
- REAL_CONST(57268.422355/8.0),
- REAL_CONST(57289.049403/8.0),
- REAL_CONST(57309.678309/8.0),
- REAL_CONST(57330.309071/8.0),
- REAL_CONST(57350.941689/8.0),
- REAL_CONST(57371.576163/8.0),
- REAL_CONST(57392.212493/8.0),
- REAL_CONST(57412.850678/8.0),
- REAL_CONST(57433.490717/8.0),
- REAL_CONST(57454.132612/8.0),
- REAL_CONST(57474.776360/8.0),
- REAL_CONST(57495.421962/8.0),
- REAL_CONST(57516.069418/8.0),
- REAL_CONST(57536.718727/8.0),
- REAL_CONST(57557.369889/8.0),
- REAL_CONST(57578.022904/8.0),
- REAL_CONST(57598.677770/8.0),
- REAL_CONST(57619.334489/8.0),
- REAL_CONST(57639.993059/8.0),
- REAL_CONST(57660.653480/8.0),
- REAL_CONST(57681.315752/8.0),
- REAL_CONST(57701.979875/8.0),
- REAL_CONST(57722.645848/8.0),
- REAL_CONST(57743.313671/8.0),
- REAL_CONST(57763.983343/8.0),
- REAL_CONST(57784.654864/8.0),
- REAL_CONST(57805.328235/8.0),
- REAL_CONST(57826.003454/8.0),
- REAL_CONST(57846.680521/8.0),
- REAL_CONST(57867.359436/8.0),
- REAL_CONST(57888.040199/8.0),
- REAL_CONST(57908.722809/8.0),
- REAL_CONST(57929.407266/8.0),
- REAL_CONST(57950.093569/8.0),
- REAL_CONST(57970.781719/8.0),
- REAL_CONST(57991.471715/8.0),
- REAL_CONST(58012.163556/8.0),
- REAL_CONST(58032.857242/8.0),
- REAL_CONST(58053.552774/8.0),
- REAL_CONST(58074.250150/8.0),
- REAL_CONST(58094.949370/8.0),
- REAL_CONST(58115.650434/8.0),
- REAL_CONST(58136.353342/8.0),
- REAL_CONST(58157.058093/8.0),
- REAL_CONST(58177.764687/8.0),
- REAL_CONST(58198.473124/8.0),
- REAL_CONST(58219.183403/8.0),
- REAL_CONST(58239.895524/8.0),
- REAL_CONST(58260.609487/8.0),
- REAL_CONST(58281.325291/8.0),
- REAL_CONST(58302.042936/8.0),
- REAL_CONST(58322.762421/8.0),
- REAL_CONST(58343.483747/8.0),
- REAL_CONST(58364.206913/8.0),
- REAL_CONST(58384.931919/8.0),
- REAL_CONST(58405.658764/8.0),
- REAL_CONST(58426.387448/8.0),
- REAL_CONST(58447.117971/8.0),
- REAL_CONST(58467.850332/8.0),
- REAL_CONST(58488.584531/8.0),
- REAL_CONST(58509.320568/8.0),
- REAL_CONST(58530.058443/8.0),
- REAL_CONST(58550.798154/8.0),
- REAL_CONST(58571.539702/8.0),
- REAL_CONST(58592.283087/8.0),
- REAL_CONST(58613.028308/8.0),
- REAL_CONST(58633.775364/8.0),
- REAL_CONST(58654.524256/8.0),
- REAL_CONST(58675.274983/8.0),
- REAL_CONST(58696.027545/8.0),
- REAL_CONST(58716.781941/8.0),
- REAL_CONST(58737.538172/8.0),
- REAL_CONST(58758.296236/8.0),
- REAL_CONST(58779.056134/8.0),
- REAL_CONST(58799.817865/8.0),
- REAL_CONST(58820.581429/8.0),
- REAL_CONST(58841.346826/8.0),
- REAL_CONST(58862.114054/8.0),
- REAL_CONST(58882.883115/8.0),
- REAL_CONST(58903.654007/8.0),
- REAL_CONST(58924.426731/8.0),
- REAL_CONST(58945.201285/8.0),
- REAL_CONST(58965.977670/8.0),
- REAL_CONST(58986.755885/8.0),
- REAL_CONST(59007.535930/8.0),
- REAL_CONST(59028.317805/8.0),
- REAL_CONST(59049.101509/8.0),
- REAL_CONST(59069.887042/8.0),
- REAL_CONST(59090.674404/8.0),
- REAL_CONST(59111.463594/8.0),
- REAL_CONST(59132.254612/8.0),
- REAL_CONST(59153.047458/8.0),
- REAL_CONST(59173.842131/8.0),
- REAL_CONST(59194.638631/8.0),
- REAL_CONST(59215.436958/8.0),
- REAL_CONST(59236.237111/8.0),
- REAL_CONST(59257.039091/8.0),
- REAL_CONST(59277.842896/8.0),
- REAL_CONST(59298.648527/8.0),
- REAL_CONST(59319.455983/8.0),
- REAL_CONST(59340.265263/8.0),
- REAL_CONST(59361.076369/8.0),
- REAL_CONST(59381.889298/8.0),
- REAL_CONST(59402.704051/8.0),
- REAL_CONST(59423.520628/8.0),
- REAL_CONST(59444.339028/8.0),
- REAL_CONST(59465.159251/8.0),
- REAL_CONST(59485.981296/8.0),
- REAL_CONST(59506.805164/8.0),
- REAL_CONST(59527.630853/8.0),
- REAL_CONST(59548.458365/8.0),
- REAL_CONST(59569.287697/8.0),
- REAL_CONST(59590.118851/8.0),
- REAL_CONST(59610.951825/8.0),
- REAL_CONST(59631.786620/8.0),
- REAL_CONST(59652.623234/8.0),
- REAL_CONST(59673.461668/8.0),
- REAL_CONST(59694.301922/8.0),
- REAL_CONST(59715.143995/8.0),
- REAL_CONST(59735.987886/8.0),
- REAL_CONST(59756.833596/8.0),
- REAL_CONST(59777.681124/8.0),
- REAL_CONST(59798.530470/8.0),
- REAL_CONST(59819.381634/8.0),
- REAL_CONST(59840.234614/8.0),
- REAL_CONST(59861.089412/8.0),
- REAL_CONST(59881.946026/8.0),
- REAL_CONST(59902.804456/8.0),
- REAL_CONST(59923.664702/8.0),
- REAL_CONST(59944.526764/8.0),
- REAL_CONST(59965.390641/8.0),
- REAL_CONST(59986.256333/8.0),
- REAL_CONST(60007.123839/8.0),
- REAL_CONST(60027.993160/8.0),
- REAL_CONST(60048.864295/8.0),
- REAL_CONST(60069.737243/8.0),
- REAL_CONST(60090.612005/8.0),
- REAL_CONST(60111.488581/8.0),
- REAL_CONST(60132.366968/8.0),
- REAL_CONST(60153.247169/8.0),
- REAL_CONST(60174.129181/8.0),
- REAL_CONST(60195.013005/8.0),
- REAL_CONST(60215.898641/8.0),
- REAL_CONST(60236.786088/8.0),
- REAL_CONST(60257.675345/8.0),
- REAL_CONST(60278.566414/8.0),
- REAL_CONST(60299.459292/8.0),
- REAL_CONST(60320.353981/8.0),
- REAL_CONST(60341.250479/8.0),
- REAL_CONST(60362.148786/8.0),
- REAL_CONST(60383.048902/8.0),
- REAL_CONST(60403.950827/8.0),
- REAL_CONST(60424.854561/8.0),
- REAL_CONST(60445.760102/8.0),
- REAL_CONST(60466.667451/8.0),
- REAL_CONST(60487.576608/8.0),
- REAL_CONST(60508.487572/8.0),
- REAL_CONST(60529.400342/8.0),
- REAL_CONST(60550.314919/8.0),
- REAL_CONST(60571.231302/8.0),
- REAL_CONST(60592.149491/8.0),
- REAL_CONST(60613.069486/8.0),
- REAL_CONST(60633.991286/8.0),
- REAL_CONST(60654.914890/8.0),
- REAL_CONST(60675.840300/8.0),
- REAL_CONST(60696.767513/8.0),
- REAL_CONST(60717.696531/8.0),
- REAL_CONST(60738.627352/8.0),
- REAL_CONST(60759.559977/8.0),
- REAL_CONST(60780.494405/8.0),
- REAL_CONST(60801.430635/8.0),
- REAL_CONST(60822.368668/8.0),
- REAL_CONST(60843.308503/8.0),
- REAL_CONST(60864.250140/8.0),
- REAL_CONST(60885.193578/8.0),
- REAL_CONST(60906.138818/8.0),
- REAL_CONST(60927.085859/8.0),
- REAL_CONST(60948.034700/8.0),
- REAL_CONST(60968.985341/8.0),
- REAL_CONST(60989.937782/8.0),
- REAL_CONST(61010.892023/8.0),
- REAL_CONST(61031.848063/8.0),
- REAL_CONST(61052.805903/8.0),
- REAL_CONST(61073.765541/8.0),
- REAL_CONST(61094.726977/8.0),
- REAL_CONST(61115.690212/8.0),
- REAL_CONST(61136.655244/8.0),
- REAL_CONST(61157.622074/8.0),
- REAL_CONST(61178.590701/8.0),
- REAL_CONST(61199.561125/8.0),
- REAL_CONST(61220.533345/8.0),
- REAL_CONST(61241.507362/8.0),
- REAL_CONST(61262.483175/8.0),
- REAL_CONST(61283.460783/8.0),
- REAL_CONST(61304.440187/8.0),
- REAL_CONST(61325.421385/8.0),
- REAL_CONST(61346.404379/8.0),
- REAL_CONST(61367.389167/8.0),
- REAL_CONST(61388.375749/8.0),
- REAL_CONST(61409.364124/8.0),
- REAL_CONST(61430.354294/8.0),
- REAL_CONST(61451.346256/8.0),
- REAL_CONST(61472.340011/8.0),
- REAL_CONST(61493.335559/8.0),
- REAL_CONST(61514.332899/8.0),
- REAL_CONST(61535.332031/8.0),
- REAL_CONST(61556.332955/8.0),
- REAL_CONST(61577.335670/8.0),
- REAL_CONST(61598.340177/8.0),
- REAL_CONST(61619.346473/8.0),
- REAL_CONST(61640.354561/8.0),
- REAL_CONST(61661.364438/8.0),
- REAL_CONST(61682.376106/8.0),
- REAL_CONST(61703.389562/8.0),
- REAL_CONST(61724.404808/8.0),
- REAL_CONST(61745.421843/8.0),
- REAL_CONST(61766.440667/8.0),
- REAL_CONST(61787.461279/8.0),
- REAL_CONST(61808.483679/8.0),
- REAL_CONST(61829.507866/8.0),
- REAL_CONST(61850.533841/8.0),
- REAL_CONST(61871.561603/8.0),
- REAL_CONST(61892.591152/8.0),
- REAL_CONST(61913.622487/8.0),
- REAL_CONST(61934.655609/8.0),
- REAL_CONST(61955.690516/8.0),
- REAL_CONST(61976.727209/8.0),
- REAL_CONST(61997.765687/8.0),
- REAL_CONST(62018.805951/8.0),
- REAL_CONST(62039.847998/8.0),
- REAL_CONST(62060.891831/8.0),
- REAL_CONST(62081.937447/8.0),
- REAL_CONST(62102.984847/8.0),
- REAL_CONST(62124.034030/8.0),
- REAL_CONST(62145.084997/8.0),
- REAL_CONST(62166.137746/8.0),
- REAL_CONST(62187.192278/8.0),
- REAL_CONST(62208.248592/8.0),
- REAL_CONST(62229.306689/8.0),
- REAL_CONST(62250.366566/8.0),
- REAL_CONST(62271.428226/8.0),
- REAL_CONST(62292.491666/8.0),
- REAL_CONST(62313.556887/8.0),
- REAL_CONST(62334.623888/8.0),
- REAL_CONST(62355.692669/8.0),
- REAL_CONST(62376.763231/8.0),
- REAL_CONST(62397.835572/8.0),
- REAL_CONST(62418.909692/8.0),
- REAL_CONST(62439.985591/8.0),
- REAL_CONST(62461.063268/8.0),
- REAL_CONST(62482.142724/8.0),
- REAL_CONST(62503.223958/8.0),
- REAL_CONST(62524.306970/8.0),
- REAL_CONST(62545.391759/8.0),
- REAL_CONST(62566.478326/8.0),
- REAL_CONST(62587.566669/8.0),
- REAL_CONST(62608.656788/8.0),
- REAL_CONST(62629.748684/8.0),
- REAL_CONST(62650.842356/8.0),
- REAL_CONST(62671.937804/8.0),
- REAL_CONST(62693.035027/8.0),
- REAL_CONST(62714.134024/8.0),
- REAL_CONST(62735.234797/8.0),
- REAL_CONST(62756.337344/8.0),
- REAL_CONST(62777.441665/8.0),
- REAL_CONST(62798.547760/8.0),
- REAL_CONST(62819.655629/8.0),
- REAL_CONST(62840.765271/8.0),
- REAL_CONST(62861.876685/8.0),
- REAL_CONST(62882.989873/8.0),
- REAL_CONST(62904.104833/8.0),
- REAL_CONST(62925.221565/8.0),
- REAL_CONST(62946.340068/8.0),
- REAL_CONST(62967.460343/8.0),
- REAL_CONST(62988.582389/8.0),
- REAL_CONST(63009.706207/8.0),
- REAL_CONST(63030.831794/8.0),
- REAL_CONST(63051.959152/8.0),
- REAL_CONST(63073.088280/8.0),
- REAL_CONST(63094.219178/8.0),
- REAL_CONST(63115.351845/8.0),
- REAL_CONST(63136.486281/8.0),
- REAL_CONST(63157.622486/8.0),
- REAL_CONST(63178.760459/8.0),
- REAL_CONST(63199.900201/8.0),
- REAL_CONST(63221.041710/8.0),
- REAL_CONST(63242.184987/8.0),
- REAL_CONST(63263.330032/8.0),
- REAL_CONST(63284.476843/8.0),
- REAL_CONST(63305.625421/8.0),
- REAL_CONST(63326.775766/8.0),
- REAL_CONST(63347.927877/8.0),
- REAL_CONST(63369.081753/8.0),
- REAL_CONST(63390.237395/8.0),
- REAL_CONST(63411.394803/8.0),
- REAL_CONST(63432.553975/8.0),
- REAL_CONST(63453.714912/8.0),
- REAL_CONST(63474.877613/8.0),
- REAL_CONST(63496.042079/8.0),
- REAL_CONST(63517.208308/8.0),
- REAL_CONST(63538.376301/8.0),
- REAL_CONST(63559.546056/8.0),
- REAL_CONST(63580.717575/8.0),
- REAL_CONST(63601.890857/8.0),
- REAL_CONST(63623.065900/8.0),
- REAL_CONST(63644.242706/8.0),
- REAL_CONST(63665.421273/8.0),
- REAL_CONST(63686.601602/8.0),
- REAL_CONST(63707.783692/8.0),
- REAL_CONST(63728.967543/8.0),
- REAL_CONST(63750.153155/8.0),
- REAL_CONST(63771.340526/8.0),
- REAL_CONST(63792.529658/8.0),
- REAL_CONST(63813.720549/8.0),
- REAL_CONST(63834.913200/8.0),
- REAL_CONST(63856.107610/8.0),
- REAL_CONST(63877.303778/8.0),
- REAL_CONST(63898.501705/8.0),
- REAL_CONST(63919.701391/8.0),
- REAL_CONST(63940.902834/8.0),
- REAL_CONST(63962.106035/8.0),
- REAL_CONST(63983.310993/8.0),
- REAL_CONST(64004.517708/8.0),
- REAL_CONST(64025.726180/8.0),
- REAL_CONST(64046.936409/8.0),
- REAL_CONST(64068.148393/8.0),
- REAL_CONST(64089.362134/8.0),
- REAL_CONST(64110.577630/8.0),
- REAL_CONST(64131.794881/8.0),
- REAL_CONST(64153.013888/8.0),
- REAL_CONST(64174.234649/8.0),
- REAL_CONST(64195.457165/8.0),
- REAL_CONST(64216.681434/8.0),
- REAL_CONST(64237.907458/8.0),
- REAL_CONST(64259.135235/8.0),
- REAL_CONST(64280.364766/8.0),
- REAL_CONST(64301.596049/8.0),
- REAL_CONST(64322.829085/8.0),
- REAL_CONST(64344.063874/8.0),
- REAL_CONST(64365.300414/8.0),
- REAL_CONST(64386.538707/8.0),
- REAL_CONST(64407.778751/8.0),
- REAL_CONST(64429.020546/8.0),
- REAL_CONST(64450.264092/8.0),
- REAL_CONST(64471.509389/8.0),
- REAL_CONST(64492.756437/8.0),
- REAL_CONST(64514.005234/8.0),
- REAL_CONST(64535.255781/8.0),
- REAL_CONST(64556.508078/8.0),
- REAL_CONST(64577.762124/8.0),
- REAL_CONST(64599.017919/8.0),
- REAL_CONST(64620.275462/8.0),
- REAL_CONST(64641.534754/8.0),
- REAL_CONST(64662.795794/8.0),
- REAL_CONST(64684.058582/8.0),
- REAL_CONST(64705.323117/8.0),
- REAL_CONST(64726.589400/8.0),
- REAL_CONST(64747.857429/8.0),
- REAL_CONST(64769.127205/8.0),
- REAL_CONST(64790.398728/8.0),
- REAL_CONST(64811.671996/8.0),
- REAL_CONST(64832.947011/8.0),
- REAL_CONST(64854.223770/8.0),
- REAL_CONST(64875.502276/8.0),
- REAL_CONST(64896.782525/8.0),
- REAL_CONST(64918.064520/8.0),
- REAL_CONST(64939.348259/8.0),
- REAL_CONST(64960.633742/8.0),
- REAL_CONST(64981.920969/8.0),
- REAL_CONST(65003.209939/8.0),
- REAL_CONST(65024.500653/8.0),
- REAL_CONST(65045.793109/8.0),
- REAL_CONST(65067.087308/8.0),
- REAL_CONST(65088.383250/8.0),
- REAL_CONST(65109.680933/8.0),
- REAL_CONST(65130.980358/8.0),
- REAL_CONST(65152.281525/8.0),
- REAL_CONST(65173.584433/8.0),
- REAL_CONST(65194.889082/8.0),
- REAL_CONST(65216.195472/8.0),
- REAL_CONST(65237.503602/8.0),
- REAL_CONST(65258.813472/8.0),
- REAL_CONST(65280.125081/8.0),
- REAL_CONST(65301.438431/8.0),
- REAL_CONST(65322.753519/8.0),
- REAL_CONST(65344.070347/8.0),
- REAL_CONST(65365.388913/8.0),
- REAL_CONST(65386.709218/8.0),
- REAL_CONST(65408.031260/8.0),
- REAL_CONST(65429.355041/8.0),
- REAL_CONST(65450.680559/8.0),
- REAL_CONST(65472.007814/8.0),
- REAL_CONST(65493.336806/8.0),
- REAL_CONST(65514.667535/8.0),
- REAL_CONST(65536.000000/8.0),
- REAL_CONST(65557.334201/8.0),
- REAL_CONST(65578.670139/8.0),
- REAL_CONST(65600.007811/8.0),
- REAL_CONST(65621.347219/8.0),
- REAL_CONST(65642.688362/8.0),
- REAL_CONST(65664.031240/8.0),
- REAL_CONST(65685.375852/8.0),
- REAL_CONST(65706.722198/8.0),
- REAL_CONST(65728.070278/8.0),
- REAL_CONST(65749.420092/8.0),
- REAL_CONST(65770.771639/8.0),
- REAL_CONST(65792.124919/8.0),
- REAL_CONST(65813.479931/8.0),
- REAL_CONST(65834.836677/8.0),
- REAL_CONST(65856.195154/8.0),
- REAL_CONST(65877.555363/8.0),
- REAL_CONST(65898.917304/8.0),
- REAL_CONST(65920.280976/8.0),
- REAL_CONST(65941.646379/8.0),
- REAL_CONST(65963.013513/8.0),
- REAL_CONST(65984.382377/8.0),
- REAL_CONST(66005.752972/8.0),
- REAL_CONST(66027.125296/8.0),
- REAL_CONST(66048.499351/8.0),
- REAL_CONST(66069.875134/8.0),
- REAL_CONST(66091.252647/8.0),
- REAL_CONST(66112.631888/8.0),
- REAL_CONST(66134.012858/8.0),
- REAL_CONST(66155.395556/8.0),
- REAL_CONST(66176.779982/8.0),
- REAL_CONST(66198.166136/8.0),
- REAL_CONST(66219.554017/8.0),
- REAL_CONST(66240.943626/8.0),
- REAL_CONST(66262.334961/8.0),
- REAL_CONST(66283.728023/8.0),
- REAL_CONST(66305.122811/8.0),
- REAL_CONST(66326.519325/8.0),
- REAL_CONST(66347.917565/8.0),
- REAL_CONST(66369.317530/8.0),
- REAL_CONST(66390.719220/8.0),
- REAL_CONST(66412.122636/8.0),
- REAL_CONST(66433.527776/8.0),
- REAL_CONST(66454.934640/8.0),
- REAL_CONST(66476.343228/8.0),
- REAL_CONST(66497.753540/8.0),
- REAL_CONST(66519.165576/8.0),
- REAL_CONST(66540.579335/8.0),
- REAL_CONST(66561.994817/8.0),
- REAL_CONST(66583.412021/8.0),
- REAL_CONST(66604.830948/8.0),
- REAL_CONST(66626.251597/8.0),
- REAL_CONST(66647.673968/8.0),
- REAL_CONST(66669.098061/8.0),
- REAL_CONST(66690.523875/8.0),
- REAL_CONST(66711.951409/8.0),
- REAL_CONST(66733.380665/8.0),
- REAL_CONST(66754.811641/8.0),
- REAL_CONST(66776.244337/8.0),
- REAL_CONST(66797.678753/8.0),
- REAL_CONST(66819.114889/8.0),
- REAL_CONST(66840.552744/8.0),
- REAL_CONST(66861.992318/8.0),
- REAL_CONST(66883.433611/8.0),
- REAL_CONST(66904.876623/8.0),
- REAL_CONST(66926.321353/8.0),
- REAL_CONST(66947.767800/8.0),
- REAL_CONST(66969.215966/8.0),
- REAL_CONST(66990.665849/8.0),
- REAL_CONST(67012.117449/8.0),
- REAL_CONST(67033.570766/8.0),
- REAL_CONST(67055.025800/8.0),
- REAL_CONST(67076.482549/8.0),
- REAL_CONST(67097.941015/8.0),
- REAL_CONST(67119.401197/8.0),
- REAL_CONST(67140.863094/8.0),
- REAL_CONST(67162.326707/8.0),
- REAL_CONST(67183.792034/8.0),
- REAL_CONST(67205.259077/8.0),
- REAL_CONST(67226.727833/8.0),
- REAL_CONST(67248.198304/8.0),
- REAL_CONST(67269.670488/8.0),
- REAL_CONST(67291.144387/8.0),
- REAL_CONST(67312.619998/8.0),
- REAL_CONST(67334.097323/8.0),
- REAL_CONST(67355.576360/8.0),
- REAL_CONST(67377.057110/8.0),
- REAL_CONST(67398.539572/8.0),
- REAL_CONST(67420.023746/8.0),
- REAL_CONST(67441.509631/8.0),
- REAL_CONST(67462.997228/8.0),
- REAL_CONST(67484.486537/8.0),
- REAL_CONST(67505.977556/8.0),
- REAL_CONST(67527.470285/8.0),
- REAL_CONST(67548.964725/8.0),
- REAL_CONST(67570.460875/8.0),
- REAL_CONST(67591.958735/8.0),
- REAL_CONST(67613.458305/8.0),
- REAL_CONST(67634.959583/8.0),
- REAL_CONST(67656.462571/8.0),
- REAL_CONST(67677.967267/8.0),
- REAL_CONST(67699.473671/8.0),
- REAL_CONST(67720.981784/8.0),
- REAL_CONST(67742.491605/8.0),
- REAL_CONST(67764.003133/8.0),
- REAL_CONST(67785.516369/8.0),
- REAL_CONST(67807.031311/8.0),
- REAL_CONST(67828.547961/8.0),
- REAL_CONST(67850.066317/8.0),
- REAL_CONST(67871.586379/8.0),
- REAL_CONST(67893.108147/8.0),
- REAL_CONST(67914.631621/8.0),
- REAL_CONST(67936.156800/8.0),
- REAL_CONST(67957.683685/8.0),
- REAL_CONST(67979.212274/8.0),
- REAL_CONST(68000.742568/8.0),
- REAL_CONST(68022.274566/8.0),
- REAL_CONST(68043.808269/8.0),
- REAL_CONST(68065.343675/8.0),
- REAL_CONST(68086.880785/8.0),
- REAL_CONST(68108.419598/8.0),
- REAL_CONST(68129.960114/8.0),
- REAL_CONST(68151.502333/8.0),
- REAL_CONST(68173.046254/8.0),
- REAL_CONST(68194.591878/8.0),
- REAL_CONST(68216.139203/8.0),
- REAL_CONST(68237.688230/8.0),
- REAL_CONST(68259.238959/8.0),
- REAL_CONST(68280.791388/8.0),
- REAL_CONST(68302.345519/8.0),
- REAL_CONST(68323.901350/8.0),
- REAL_CONST(68345.458881/8.0),
- REAL_CONST(68367.018113/8.0),
- REAL_CONST(68388.579044/8.0),
- REAL_CONST(68410.141675/8.0),
- REAL_CONST(68431.706005/8.0),
- REAL_CONST(68453.272034/8.0),
- REAL_CONST(68474.839762/8.0),
- REAL_CONST(68496.409188/8.0),
- REAL_CONST(68517.980312/8.0),
- REAL_CONST(68539.553134/8.0),
- REAL_CONST(68561.127654/8.0),
- REAL_CONST(68582.703872/8.0),
- REAL_CONST(68604.281786/8.0),
- REAL_CONST(68625.861397/8.0),
- REAL_CONST(68647.442705/8.0),
- REAL_CONST(68669.025709/8.0),
- REAL_CONST(68690.610409/8.0),
- REAL_CONST(68712.196805/8.0),
- REAL_CONST(68733.784897/8.0),
- REAL_CONST(68755.374683/8.0),
- REAL_CONST(68776.966165/8.0),
- REAL_CONST(68798.559341/8.0),
- REAL_CONST(68820.154212/8.0),
- REAL_CONST(68841.750777/8.0),
- REAL_CONST(68863.349036/8.0),
- REAL_CONST(68884.948989/8.0),
- REAL_CONST(68906.550635/8.0),
- REAL_CONST(68928.153974/8.0),
- REAL_CONST(68949.759006/8.0),
- REAL_CONST(68971.365730/8.0),
- REAL_CONST(68992.974147/8.0),
- REAL_CONST(69014.584256/8.0),
- REAL_CONST(69036.196057/8.0),
- REAL_CONST(69057.809549/8.0),
- REAL_CONST(69079.424732/8.0),
- REAL_CONST(69101.041607/8.0),
- REAL_CONST(69122.660172/8.0),
- REAL_CONST(69144.280428/8.0),
- REAL_CONST(69165.902373/8.0),
- REAL_CONST(69187.526009/8.0),
- REAL_CONST(69209.151335/8.0),
- REAL_CONST(69230.778350/8.0),
- REAL_CONST(69252.407054/8.0),
- REAL_CONST(69274.037447/8.0),
- REAL_CONST(69295.669528/8.0),
- REAL_CONST(69317.303298/8.0),
- REAL_CONST(69338.938756/8.0),
- REAL_CONST(69360.575902/8.0),
- REAL_CONST(69382.214735/8.0),
- REAL_CONST(69403.855256/8.0),
- REAL_CONST(69425.497464/8.0),
- REAL_CONST(69447.141358/8.0),
- REAL_CONST(69468.786939/8.0),
- REAL_CONST(69490.434207/8.0),
- REAL_CONST(69512.083160/8.0),
- REAL_CONST(69533.733799/8.0),
- REAL_CONST(69555.386124/8.0),
- REAL_CONST(69577.040133/8.0),
- REAL_CONST(69598.695828/8.0),
- REAL_CONST(69620.353207/8.0),
- REAL_CONST(69642.012271/8.0),
- REAL_CONST(69663.673019/8.0),
- REAL_CONST(69685.335451/8.0),
- REAL_CONST(69706.999566/8.0),
- REAL_CONST(69728.665365/8.0),
- REAL_CONST(69750.332847/8.0),
- REAL_CONST(69772.002011/8.0),
- REAL_CONST(69793.672859/8.0),
- REAL_CONST(69815.345388/8.0),
- REAL_CONST(69837.019600/8.0),
- REAL_CONST(69858.695494/8.0),
- REAL_CONST(69880.373069/8.0),
- REAL_CONST(69902.052325/8.0),
- REAL_CONST(69923.733262/8.0),
- REAL_CONST(69945.415880/8.0),
- REAL_CONST(69967.100179/8.0),
- REAL_CONST(69988.786158/8.0),
- REAL_CONST(70010.473817/8.0),
- REAL_CONST(70032.163155/8.0),
- REAL_CONST(70053.854173/8.0),
- REAL_CONST(70075.546870/8.0),
- REAL_CONST(70097.241246/8.0),
- REAL_CONST(70118.937301/8.0),
- REAL_CONST(70140.635034/8.0),
- REAL_CONST(70162.334446/8.0),
- REAL_CONST(70184.035535/8.0),
- REAL_CONST(70205.738302/8.0),
- REAL_CONST(70227.442746/8.0),
- REAL_CONST(70249.148867/8.0),
- REAL_CONST(70270.856666/8.0),
- REAL_CONST(70292.566141/8.0),
- REAL_CONST(70314.277292/8.0),
- REAL_CONST(70335.990119/8.0),
- REAL_CONST(70357.704622/8.0),
- REAL_CONST(70379.420801/8.0),
- REAL_CONST(70401.138655/8.0),
- REAL_CONST(70422.858184/8.0),
- REAL_CONST(70444.579388/8.0),
- REAL_CONST(70466.302266/8.0),
- REAL_CONST(70488.026819/8.0),
- REAL_CONST(70509.753045/8.0),
- REAL_CONST(70531.480946/8.0),
- REAL_CONST(70553.210520/8.0),
- REAL_CONST(70574.941767/8.0),
- REAL_CONST(70596.674687/8.0),
- REAL_CONST(70618.409280/8.0),
- REAL_CONST(70640.145545/8.0),
- REAL_CONST(70661.883483/8.0),
- REAL_CONST(70683.623092/8.0),
- REAL_CONST(70705.364373/8.0),
- REAL_CONST(70727.107326/8.0),
- REAL_CONST(70748.851950/8.0),
- REAL_CONST(70770.598245/8.0),
- REAL_CONST(70792.346210/8.0),
- REAL_CONST(70814.095846/8.0),
- REAL_CONST(70835.847152/8.0),
- REAL_CONST(70857.600128/8.0),
- REAL_CONST(70879.354773/8.0),
- REAL_CONST(70901.111088/8.0),
- REAL_CONST(70922.869072/8.0),
- REAL_CONST(70944.628725/8.0),
- REAL_CONST(70966.390047/8.0),
- REAL_CONST(70988.153037/8.0),
- REAL_CONST(71009.917695/8.0),
- REAL_CONST(71031.684021/8.0),
- REAL_CONST(71053.452014/8.0),
- REAL_CONST(71075.221675/8.0),
- REAL_CONST(71096.993003/8.0),
- REAL_CONST(71118.765998/8.0),
- REAL_CONST(71140.540659/8.0),
- REAL_CONST(71162.316987/8.0),
- REAL_CONST(71184.094980/8.0),
- REAL_CONST(71205.874640/8.0),
- REAL_CONST(71227.655965/8.0),
- REAL_CONST(71249.438955/8.0),
- REAL_CONST(71271.223611/8.0),
- REAL_CONST(71293.009931/8.0),
- REAL_CONST(71314.797916/8.0),
- REAL_CONST(71336.587565/8.0),
- REAL_CONST(71358.378878/8.0),
- REAL_CONST(71380.171855/8.0),
- REAL_CONST(71401.966495/8.0),
- REAL_CONST(71423.762799/8.0),
- REAL_CONST(71445.560766/8.0),
- REAL_CONST(71467.360395/8.0),
- REAL_CONST(71489.161687/8.0),
- REAL_CONST(71510.964641/8.0),
- REAL_CONST(71532.769257/8.0),
- REAL_CONST(71554.575535/8.0),
- REAL_CONST(71576.383475/8.0),
- REAL_CONST(71598.193075/8.0),
- REAL_CONST(71620.004337/8.0),
- REAL_CONST(71641.817260/8.0),
- REAL_CONST(71663.631842/8.0),
- REAL_CONST(71685.448086/8.0),
- REAL_CONST(71707.265989/8.0),
- REAL_CONST(71729.085551/8.0),
- REAL_CONST(71750.906774/8.0),
- REAL_CONST(71772.729655/8.0),
- REAL_CONST(71794.554196/8.0),
- REAL_CONST(71816.380395/8.0),
- REAL_CONST(71838.208253/8.0),
- REAL_CONST(71860.037768/8.0),
- REAL_CONST(71881.868942/8.0),
- REAL_CONST(71903.701774/8.0),
- REAL_CONST(71925.536263/8.0),
- REAL_CONST(71947.372409/8.0),
- REAL_CONST(71969.210212/8.0),
- REAL_CONST(71991.049672/8.0),
- REAL_CONST(72012.890788/8.0),
- REAL_CONST(72034.733561/8.0),
- REAL_CONST(72056.577989/8.0),
- REAL_CONST(72078.424073/8.0),
- REAL_CONST(72100.271813/8.0),
- REAL_CONST(72122.121208/8.0),
- REAL_CONST(72143.972257/8.0),
- REAL_CONST(72165.824962/8.0),
- REAL_CONST(72187.679321/8.0),
- REAL_CONST(72209.535334/8.0),
- REAL_CONST(72231.393001/8.0),
- REAL_CONST(72253.252321/8.0),
- REAL_CONST(72275.113295/8.0),
- REAL_CONST(72296.975923/8.0),
- REAL_CONST(72318.840203/8.0),
- REAL_CONST(72340.706136/8.0),
- REAL_CONST(72362.573721/8.0),
- REAL_CONST(72384.442959/8.0),
- REAL_CONST(72406.313848/8.0),
- REAL_CONST(72428.186390/8.0),
- REAL_CONST(72450.060582/8.0),
- REAL_CONST(72471.936426/8.0),
- REAL_CONST(72493.813921/8.0),
- REAL_CONST(72515.693066/8.0),
- REAL_CONST(72537.573862/8.0),
- REAL_CONST(72559.456308/8.0),
- REAL_CONST(72581.340405/8.0),
- REAL_CONST(72603.226150/8.0),
- REAL_CONST(72625.113546/8.0),
- REAL_CONST(72647.002590/8.0),
- REAL_CONST(72668.893283/8.0),
- REAL_CONST(72690.785625/8.0),
- REAL_CONST(72712.679616/8.0),
- REAL_CONST(72734.575255/8.0),
- REAL_CONST(72756.472542/8.0),
- REAL_CONST(72778.371476/8.0),
- REAL_CONST(72800.272058/8.0),
- REAL_CONST(72822.174287/8.0),
- REAL_CONST(72844.078163/8.0),
- REAL_CONST(72865.983686/8.0),
- REAL_CONST(72887.890855/8.0),
- REAL_CONST(72909.799671/8.0),
- REAL_CONST(72931.710132/8.0),
- REAL_CONST(72953.622239/8.0),
- REAL_CONST(72975.535992/8.0),
- REAL_CONST(72997.451390/8.0),
- REAL_CONST(73019.368433/8.0),
- REAL_CONST(73041.287121/8.0),
- REAL_CONST(73063.207453/8.0),
- REAL_CONST(73085.129429/8.0),
- REAL_CONST(73107.053050/8.0),
- REAL_CONST(73128.978314/8.0),
- REAL_CONST(73150.905222/8.0),
- REAL_CONST(73172.833773/8.0),
- REAL_CONST(73194.763967/8.0),
- REAL_CONST(73216.695803/8.0),
- REAL_CONST(73238.629283/8.0),
- REAL_CONST(73260.564404/8.0),
- REAL_CONST(73282.501168/8.0),
- REAL_CONST(73304.439573/8.0),
- REAL_CONST(73326.379620/8.0),
- REAL_CONST(73348.321308/8.0),
- REAL_CONST(73370.264638/8.0),
- REAL_CONST(73392.209608/8.0),
- REAL_CONST(73414.156218/8.0),
- REAL_CONST(73436.104469/8.0),
- REAL_CONST(73458.054361/8.0),
- REAL_CONST(73480.005891/8.0),
- REAL_CONST(73501.959062/8.0),
- REAL_CONST(73523.913872/8.0),
- REAL_CONST(73545.870321/8.0),
- REAL_CONST(73567.828408/8.0),
- REAL_CONST(73589.788135/8.0),
- REAL_CONST(73611.749499/8.0),
- REAL_CONST(73633.712502/8.0),
- REAL_CONST(73655.677143/8.0),
- REAL_CONST(73677.643421/8.0),
- REAL_CONST(73699.611337/8.0),
- REAL_CONST(73721.580889/8.0),
- REAL_CONST(73743.552079/8.0),
- REAL_CONST(73765.524906/8.0),
- REAL_CONST(73787.499368/8.0),
- REAL_CONST(73809.475467/8.0),
- REAL_CONST(73831.453202/8.0),
- REAL_CONST(73853.432573/8.0),
- REAL_CONST(73875.413579/8.0),
- REAL_CONST(73897.396220/8.0),
- REAL_CONST(73919.380496/8.0),
- REAL_CONST(73941.366406/8.0),
- REAL_CONST(73963.353952/8.0),
- REAL_CONST(73985.343131/8.0),
- REAL_CONST(74007.333945/8.0),
- REAL_CONST(74029.326392/8.0),
- REAL_CONST(74051.320472/8.0),
- REAL_CONST(74073.316186/8.0),
- REAL_CONST(74095.313533/8.0),
- REAL_CONST(74117.312513/8.0),
- REAL_CONST(74139.313125/8.0),
- REAL_CONST(74161.315369/8.0),
- REAL_CONST(74183.319246/8.0),
- REAL_CONST(74205.324754/8.0),
- REAL_CONST(74227.331894/8.0),
- REAL_CONST(74249.340665/8.0),
- REAL_CONST(74271.351067/8.0),
- REAL_CONST(74293.363100/8.0),
- REAL_CONST(74315.376764/8.0),
- REAL_CONST(74337.392058/8.0),
- REAL_CONST(74359.408982/8.0),
- REAL_CONST(74381.427536/8.0),
- REAL_CONST(74403.447719/8.0),
- REAL_CONST(74425.469532/8.0),
- REAL_CONST(74447.492974/8.0),
- REAL_CONST(74469.518045/8.0),
- REAL_CONST(74491.544744/8.0),
- REAL_CONST(74513.573072/8.0),
- REAL_CONST(74535.603028/8.0),
- REAL_CONST(74557.634612/8.0),
- REAL_CONST(74579.667824/8.0),
- REAL_CONST(74601.702663/8.0),
- REAL_CONST(74623.739130/8.0),
- REAL_CONST(74645.777223/8.0),
- REAL_CONST(74667.816943/8.0),
- REAL_CONST(74689.858290/8.0),
- REAL_CONST(74711.901263/8.0),
- REAL_CONST(74733.945861/8.0),
- REAL_CONST(74755.992086/8.0),
- REAL_CONST(74778.039936/8.0),
- REAL_CONST(74800.089412/8.0),
- REAL_CONST(74822.140512/8.0),
- REAL_CONST(74844.193237/8.0),
- REAL_CONST(74866.247587/8.0),
- REAL_CONST(74888.303561/8.0),
- REAL_CONST(74910.361160/8.0),
- REAL_CONST(74932.420382/8.0),
- REAL_CONST(74954.481227/8.0),
- REAL_CONST(74976.543697/8.0),
- REAL_CONST(74998.607789/8.0),
- REAL_CONST(75020.673504/8.0),
- REAL_CONST(75042.740842/8.0),
- REAL_CONST(75064.809802/8.0),
- REAL_CONST(75086.880384/8.0),
- REAL_CONST(75108.952589/8.0),
- REAL_CONST(75131.026415/8.0),
- REAL_CONST(75153.101862/8.0),
- REAL_CONST(75175.178931/8.0),
- REAL_CONST(75197.257621/8.0),
- REAL_CONST(75219.337931/8.0),
- REAL_CONST(75241.419862/8.0),
- REAL_CONST(75263.503414/8.0),
- REAL_CONST(75285.588585/8.0),
- REAL_CONST(75307.675376/8.0),
- REAL_CONST(75329.763787/8.0),
- REAL_CONST(75351.853817/8.0),
- REAL_CONST(75373.945466/8.0),
- REAL_CONST(75396.038734/8.0),
- REAL_CONST(75418.133620/8.0),
- REAL_CONST(75440.230125/8.0),
- REAL_CONST(75462.328248/8.0),
- REAL_CONST(75484.427989/8.0),
- REAL_CONST(75506.529348/8.0),
- REAL_CONST(75528.632324/8.0),
- REAL_CONST(75550.736917/8.0),
- REAL_CONST(75572.843127/8.0),
- REAL_CONST(75594.950954/8.0),
- REAL_CONST(75617.060398/8.0),
- REAL_CONST(75639.171457/8.0),
- REAL_CONST(75661.284133/8.0),
- REAL_CONST(75683.398424/8.0),
- REAL_CONST(75705.514331/8.0),
- REAL_CONST(75727.631854/8.0),
- REAL_CONST(75749.750991/8.0),
- REAL_CONST(75771.871743/8.0),
- REAL_CONST(75793.994110/8.0),
- REAL_CONST(75816.118091/8.0),
- REAL_CONST(75838.243686/8.0),
- REAL_CONST(75860.370896/8.0),
- REAL_CONST(75882.499718/8.0),
- REAL_CONST(75904.630155/8.0),
- REAL_CONST(75926.762204/8.0),
- REAL_CONST(75948.895866/8.0),
- REAL_CONST(75971.031141/8.0),
- REAL_CONST(75993.168029/8.0),
- REAL_CONST(76015.306529/8.0),
- REAL_CONST(76037.446640/8.0),
- REAL_CONST(76059.588364/8.0),
- REAL_CONST(76081.731699/8.0),
- REAL_CONST(76103.876646/8.0),
- REAL_CONST(76126.023203/8.0),
- REAL_CONST(76148.171371/8.0),
- REAL_CONST(76170.321150/8.0),
- REAL_CONST(76192.472539/8.0),
- REAL_CONST(76214.625539/8.0),
- REAL_CONST(76236.780148/8.0),
- REAL_CONST(76258.936367/8.0),
- REAL_CONST(76281.094196/8.0),
- REAL_CONST(76303.253633/8.0),
- REAL_CONST(76325.414680/8.0),
- REAL_CONST(76347.577335/8.0),
- REAL_CONST(76369.741599/8.0),
- REAL_CONST(76391.907471/8.0),
- REAL_CONST(76414.074951/8.0),
- REAL_CONST(76436.244039/8.0),
- REAL_CONST(76458.414734/8.0),
- REAL_CONST(76480.587037/8.0),
- REAL_CONST(76502.760947/8.0),
- REAL_CONST(76524.936463/8.0),
- REAL_CONST(76547.113587/8.0),
- REAL_CONST(76569.292316/8.0),
- REAL_CONST(76591.472652/8.0),
- REAL_CONST(76613.654594/8.0),
- REAL_CONST(76635.838142/8.0),
- REAL_CONST(76658.023295/8.0),
- REAL_CONST(76680.210053/8.0),
- REAL_CONST(76702.398416/8.0),
- REAL_CONST(76724.588384/8.0),
- REAL_CONST(76746.779957/8.0),
- REAL_CONST(76768.973134/8.0),
- REAL_CONST(76791.167915/8.0),
- REAL_CONST(76813.364299/8.0),
- REAL_CONST(76835.562288/8.0),
- REAL_CONST(76857.761880/8.0),
- REAL_CONST(76879.963074/8.0),
- REAL_CONST(76902.165872/8.0),
- REAL_CONST(76924.370273/8.0),
- REAL_CONST(76946.576276/8.0),
- REAL_CONST(76968.783881/8.0),
- REAL_CONST(76990.993088/8.0),
- REAL_CONST(77013.203897/8.0),
- REAL_CONST(77035.416308/8.0),
- REAL_CONST(77057.630319/8.0),
- REAL_CONST(77079.845932/8.0),
- REAL_CONST(77102.063146/8.0),
- REAL_CONST(77124.281960/8.0),
- REAL_CONST(77146.502375/8.0),
- REAL_CONST(77168.724390/8.0),
- REAL_CONST(77190.948004/8.0),
- REAL_CONST(77213.173219/8.0),
- REAL_CONST(77235.400033/8.0),
- REAL_CONST(77257.628446/8.0),
- REAL_CONST(77279.858458/8.0),
- REAL_CONST(77302.090069/8.0),
- REAL_CONST(77324.323278/8.0),
- REAL_CONST(77346.558086/8.0),
- REAL_CONST(77368.794491/8.0),
- REAL_CONST(77391.032495/8.0),
- REAL_CONST(77413.272096/8.0),
- REAL_CONST(77435.513295/8.0),
- REAL_CONST(77457.756090/8.0),
- REAL_CONST(77480.000483/8.0),
- REAL_CONST(77502.246473/8.0),
- REAL_CONST(77524.494058/8.0),
- REAL_CONST(77546.743240/8.0),
- REAL_CONST(77568.994019/8.0),
- REAL_CONST(77591.246392/8.0),
- REAL_CONST(77613.500362/8.0),
- REAL_CONST(77635.755927/8.0),
- REAL_CONST(77658.013086/8.0),
- REAL_CONST(77680.271841/8.0),
- REAL_CONST(77702.532191/8.0),
- REAL_CONST(77724.794134/8.0),
- REAL_CONST(77747.057672/8.0),
- REAL_CONST(77769.322804/8.0),
- REAL_CONST(77791.589530/8.0),
- REAL_CONST(77813.857849/8.0),
- REAL_CONST(77836.127761/8.0),
- REAL_CONST(77858.399267/8.0),
- REAL_CONST(77880.672365/8.0),
- REAL_CONST(77902.947056/8.0),
- REAL_CONST(77925.223339/8.0),
- REAL_CONST(77947.501214/8.0),
- REAL_CONST(77969.780681/8.0),
- REAL_CONST(77992.061740/8.0),
- REAL_CONST(78014.344391/8.0),
- REAL_CONST(78036.628632/8.0),
- REAL_CONST(78058.914465/8.0),
- REAL_CONST(78081.201888/8.0),
- REAL_CONST(78103.490902/8.0),
- REAL_CONST(78125.781506/8.0),
- REAL_CONST(78148.073700/8.0),
- REAL_CONST(78170.367484/8.0),
- REAL_CONST(78192.662858/8.0),
- REAL_CONST(78214.959821/8.0),
- REAL_CONST(78237.258374/8.0),
- REAL_CONST(78259.558515/8.0),
- REAL_CONST(78281.860245/8.0),
- REAL_CONST(78304.163563/8.0),
- REAL_CONST(78326.468470/8.0),
- REAL_CONST(78348.774965/8.0),
- REAL_CONST(78371.083048/8.0),
- REAL_CONST(78393.392718/8.0),
- REAL_CONST(78415.703976/8.0),
- REAL_CONST(78438.016820/8.0),
- REAL_CONST(78460.331252/8.0),
- REAL_CONST(78482.647270/8.0),
- REAL_CONST(78504.964875/8.0),
- REAL_CONST(78527.284066/8.0),
- REAL_CONST(78549.604843/8.0),
- REAL_CONST(78571.927206/8.0),
- REAL_CONST(78594.251155/8.0),
- REAL_CONST(78616.576688/8.0),
- REAL_CONST(78638.903807/8.0),
- REAL_CONST(78661.232511/8.0),
- REAL_CONST(78683.562799/8.0),
- REAL_CONST(78705.894672/8.0),
- REAL_CONST(78728.228129/8.0),
- REAL_CONST(78750.563170/8.0),
- REAL_CONST(78772.899795/8.0),
- REAL_CONST(78795.238004/8.0),
- REAL_CONST(78817.577795/8.0),
- REAL_CONST(78839.919170/8.0),
- REAL_CONST(78862.262128/8.0),
- REAL_CONST(78884.606668/8.0),
- REAL_CONST(78906.952791/8.0),
- REAL_CONST(78929.300496/8.0),
- REAL_CONST(78951.649783/8.0),
- REAL_CONST(78974.000651/8.0),
- REAL_CONST(78996.353101/8.0),
- REAL_CONST(79018.707133/8.0),
- REAL_CONST(79041.062745/8.0),
- REAL_CONST(79063.419939/8.0),
- REAL_CONST(79085.778713/8.0),
- REAL_CONST(79108.139067/8.0),
- REAL_CONST(79130.501002/8.0),
- REAL_CONST(79152.864516/8.0),
- REAL_CONST(79175.229610/8.0),
- REAL_CONST(79197.596284/8.0),
- REAL_CONST(79219.964537/8.0),
- REAL_CONST(79242.334369/8.0),
- REAL_CONST(79264.705780/8.0),
- REAL_CONST(79287.078770/8.0),
- REAL_CONST(79309.453338/8.0),
- REAL_CONST(79331.829484/8.0),
- REAL_CONST(79354.207208/8.0),
- REAL_CONST(79376.586510/8.0),
- REAL_CONST(79398.967390/8.0),
- REAL_CONST(79421.349846/8.0),
- REAL_CONST(79443.733880/8.0),
- REAL_CONST(79466.119490/8.0),
- REAL_CONST(79488.506678/8.0),
- REAL_CONST(79510.895441/8.0),
- REAL_CONST(79533.285781/8.0),
- REAL_CONST(79555.677697/8.0),
- REAL_CONST(79578.071188/8.0),
- REAL_CONST(79600.466255/8.0),
- REAL_CONST(79622.862897/8.0),
- REAL_CONST(79645.261114/8.0),
- REAL_CONST(79667.660907/8.0),
- REAL_CONST(79690.062273/8.0),
- REAL_CONST(79712.465215/8.0),
- REAL_CONST(79734.869730/8.0),
- REAL_CONST(79757.275819/8.0),
- REAL_CONST(79779.683482/8.0),
- REAL_CONST(79802.092719/8.0),
- REAL_CONST(79824.503529/8.0),
- REAL_CONST(79846.915911/8.0),
- REAL_CONST(79869.329867/8.0),
- REAL_CONST(79891.745396/8.0),
- REAL_CONST(79914.162496/8.0),
- REAL_CONST(79936.581169/8.0),
- REAL_CONST(79959.001414/8.0),
- REAL_CONST(79981.423231/8.0),
- REAL_CONST(80003.846619/8.0),
- REAL_CONST(80026.271579/8.0),
- REAL_CONST(80048.698110/8.0),
- REAL_CONST(80071.126211/8.0),
- REAL_CONST(80093.555883/8.0),
- REAL_CONST(80115.987126/8.0),
- REAL_CONST(80138.419939/8.0),
- REAL_CONST(80160.854322/8.0),
- REAL_CONST(80183.290274/8.0),
- REAL_CONST(80205.727796/8.0),
- REAL_CONST(80228.166888/8.0),
- REAL_CONST(80250.607548/8.0),
- REAL_CONST(80273.049778/8.0),
- REAL_CONST(80295.493576/8.0),
- REAL_CONST(80317.938943/8.0),
- REAL_CONST(80340.385877/8.0),
- REAL_CONST(80362.834380/8.0),
- REAL_CONST(80385.284451/8.0),
- REAL_CONST(80407.736089/8.0),
- REAL_CONST(80430.189295/8.0),
- REAL_CONST(80452.644068/8.0),
- REAL_CONST(80475.100407/8.0),
- REAL_CONST(80497.558314/8.0),
- REAL_CONST(80520.017786/8.0),
- REAL_CONST(80542.478825/8.0),
- REAL_CONST(80564.941431/8.0),
- REAL_CONST(80587.405602/8.0),
- REAL_CONST(80609.871338/8.0),
- REAL_CONST(80632.338640/8.0),
- REAL_CONST(80654.807507/8.0),
- REAL_CONST(80677.277939/8.0),
- REAL_CONST(80699.749936/8.0),
- REAL_CONST(80722.223498/8.0),
- REAL_CONST(80744.698623/8.0),
- REAL_CONST(80767.175313/8.0),
- REAL_CONST(80789.653567/8.0),
- REAL_CONST(80812.133384/8.0),
- REAL_CONST(80834.614765/8.0),
- REAL_CONST(80857.097709/8.0),
- REAL_CONST(80879.582216/8.0),
- REAL_CONST(80902.068285/8.0),
- REAL_CONST(80924.555918/8.0),
- REAL_CONST(80947.045112/8.0),
- REAL_CONST(80969.535869/8.0),
- REAL_CONST(80992.028188/8.0),
- REAL_CONST(81014.522068/8.0),
- REAL_CONST(81037.017510/8.0),
- REAL_CONST(81059.514513/8.0),
- REAL_CONST(81082.013077/8.0),
- REAL_CONST(81104.513202/8.0),
- REAL_CONST(81127.014888/8.0),
- REAL_CONST(81149.518134/8.0),
- REAL_CONST(81172.022940/8.0),
- REAL_CONST(81194.529306/8.0),
- REAL_CONST(81217.037232/8.0),
- REAL_CONST(81239.546717/8.0),
- REAL_CONST(81262.057762/8.0),
- REAL_CONST(81284.570366/8.0),
- REAL_CONST(81307.084528/8.0),
- REAL_CONST(81329.600250/8.0),
- REAL_CONST(81352.117530/8.0),
- REAL_CONST(81374.636368/8.0),
- REAL_CONST(81397.156764/8.0),
- REAL_CONST(81419.678718/8.0),
- REAL_CONST(81442.202229/8.0),
- REAL_CONST(81464.727298/8.0),
- REAL_CONST(81487.253924/8.0),
- REAL_CONST(81509.782107/8.0),
- REAL_CONST(81532.311846/8.0),
- REAL_CONST(81554.843143/8.0),
- REAL_CONST(81577.375995/8.0),
- REAL_CONST(81599.910404/8.0),
- REAL_CONST(81622.446368/8.0),
- REAL_CONST(81644.983888/8.0),
- REAL_CONST(81667.522964/8.0),
- REAL_CONST(81690.063594/8.0),
- REAL_CONST(81712.605780/8.0),
- REAL_CONST(81735.149521/8.0),
- REAL_CONST(81757.694816/8.0),
- REAL_CONST(81780.241665/8.0),
- REAL_CONST(81802.790069/8.0),
- REAL_CONST(81825.340026/8.0),
- REAL_CONST(81847.891538/8.0),
- REAL_CONST(81870.444603/8.0),
- REAL_CONST(81892.999221/8.0),
- REAL_CONST(81915.555392/8.0),
- REAL_CONST(81938.113116/8.0),
- REAL_CONST(81960.672393/8.0),
- REAL_CONST(81983.233222/8.0),
- REAL_CONST(82005.795603/8.0),
- REAL_CONST(82028.359536/8.0),
- REAL_CONST(82050.925022/8.0),
- REAL_CONST(82073.492058/8.0),
- REAL_CONST(82096.060647/8.0),
- REAL_CONST(82118.630786/8.0),
- REAL_CONST(82141.202476/8.0),
- REAL_CONST(82163.775717/8.0),
- REAL_CONST(82186.350509/8.0),
- REAL_CONST(82208.926850/8.0),
- REAL_CONST(82231.504742/8.0),
- REAL_CONST(82254.084184/8.0),
- REAL_CONST(82276.665175/8.0),
- REAL_CONST(82299.247716/8.0),
- REAL_CONST(82321.831807/8.0),
- REAL_CONST(82344.417446/8.0),
- REAL_CONST(82367.004634/8.0),
- REAL_CONST(82389.593370/8.0),
- REAL_CONST(82412.183655/8.0),
- REAL_CONST(82434.775488/8.0),
- REAL_CONST(82457.368870/8.0),
- REAL_CONST(82479.963798/8.0),
- REAL_CONST(82502.560275/8.0),
- REAL_CONST(82525.158299/8.0),
- REAL_CONST(82547.757870/8.0),
- REAL_CONST(82570.358987/8.0),
- REAL_CONST(82592.961652/8.0),
- REAL_CONST(82615.565863/8.0),
- REAL_CONST(82638.171620/8.0),
- REAL_CONST(82660.778923/8.0),
- REAL_CONST(82683.387773/8.0),
- REAL_CONST(82705.998167/8.0),
- REAL_CONST(82728.610108/8.0),
- REAL_CONST(82751.223593/8.0),
- REAL_CONST(82773.838624/8.0),
- REAL_CONST(82796.455199/8.0),
- REAL_CONST(82819.073319/8.0),
- REAL_CONST(82841.692983/8.0),
- REAL_CONST(82864.314191/8.0),
- REAL_CONST(82886.936944/8.0),
- REAL_CONST(82909.561240/8.0),
- REAL_CONST(82932.187079/8.0),
- REAL_CONST(82954.814462/8.0),
- REAL_CONST(82977.443388/8.0),
- REAL_CONST(83000.073857/8.0),
- REAL_CONST(83022.705869/8.0),
- REAL_CONST(83045.339423/8.0),
- REAL_CONST(83067.974519/8.0),
- REAL_CONST(83090.611158/8.0),
- REAL_CONST(83113.249338/8.0),
- REAL_CONST(83135.889060/8.0),
- REAL_CONST(83158.530323/8.0),
- REAL_CONST(83181.173128/8.0),
- REAL_CONST(83203.817473/8.0),
- REAL_CONST(83226.463360/8.0),
- REAL_CONST(83249.110787/8.0),
- REAL_CONST(83271.759754/8.0),
- REAL_CONST(83294.410262/8.0),
- REAL_CONST(83317.062309/8.0),
- REAL_CONST(83339.715896/8.0),
- REAL_CONST(83362.371023/8.0),
- REAL_CONST(83385.027689/8.0),
- REAL_CONST(83407.685894/8.0),
- REAL_CONST(83430.345639/8.0),
- REAL_CONST(83453.006921/8.0),
- REAL_CONST(83475.669743/8.0),
- REAL_CONST(83498.334102/8.0),
- REAL_CONST(83521.000000/8.0),
- REAL_CONST(83543.667436/8.0),
- REAL_CONST(83566.336409/8.0),
- REAL_CONST(83589.006919/8.0),
- REAL_CONST(83611.678967/8.0),
- REAL_CONST(83634.352552/8.0),
- REAL_CONST(83657.027674/8.0),
- REAL_CONST(83679.704333/8.0),
- REAL_CONST(83702.382527/8.0),
- REAL_CONST(83725.062258/8.0),
- REAL_CONST(83747.743525/8.0),
- REAL_CONST(83770.426328/8.0),
- REAL_CONST(83793.110667/8.0),
- REAL_CONST(83815.796540/8.0),
- REAL_CONST(83838.483949/8.0),
- REAL_CONST(83861.172893/8.0),
- REAL_CONST(83883.863372/8.0),
- REAL_CONST(83906.555385/8.0),
- REAL_CONST(83929.248932/8.0),
- REAL_CONST(83951.944014/8.0),
- REAL_CONST(83974.640630/8.0),
- REAL_CONST(83997.338779/8.0),
- REAL_CONST(84020.038462/8.0),
- REAL_CONST(84042.739678/8.0),
- REAL_CONST(84065.442427/8.0),
- REAL_CONST(84088.146709/8.0),
- REAL_CONST(84110.852523/8.0),
- REAL_CONST(84133.559871/8.0),
- REAL_CONST(84156.268750/8.0),
- REAL_CONST(84178.979162/8.0),
- REAL_CONST(84201.691105/8.0),
- REAL_CONST(84224.404580/8.0),
- REAL_CONST(84247.119586/8.0),
- REAL_CONST(84269.836124/8.0),
- REAL_CONST(84292.554192/8.0),
- REAL_CONST(84315.273792/8.0),
- REAL_CONST(84337.994922/8.0),
- REAL_CONST(84360.717583/8.0),
- REAL_CONST(84383.441773/8.0),
- REAL_CONST(84406.167494/8.0),
- REAL_CONST(84428.894744/8.0),
- REAL_CONST(84451.623524/8.0),
- REAL_CONST(84474.353834/8.0),
- REAL_CONST(84497.085672/8.0),
- REAL_CONST(84519.819040/8.0),
- REAL_CONST(84542.553936/8.0),
- REAL_CONST(84565.290361/8.0),
- REAL_CONST(84588.028314/8.0),
- REAL_CONST(84610.767795/8.0),
- REAL_CONST(84633.508805/8.0),
- REAL_CONST(84656.251342/8.0),
- REAL_CONST(84678.995406/8.0),
- REAL_CONST(84701.740998/8.0),
- REAL_CONST(84724.488117/8.0),
- REAL_CONST(84747.236763/8.0),
- REAL_CONST(84769.986935/8.0),
- REAL_CONST(84792.738634/8.0),
- REAL_CONST(84815.491860/8.0),
- REAL_CONST(84838.246611/8.0),
- REAL_CONST(84861.002889/8.0),
- REAL_CONST(84883.760692/8.0),
- REAL_CONST(84906.520020/8.0),
- REAL_CONST(84929.280874/8.0),
- REAL_CONST(84952.043253/8.0),
- REAL_CONST(84974.807156/8.0),
- REAL_CONST(84997.572585/8.0),
- REAL_CONST(85020.339537/8.0),
- REAL_CONST(85043.108014/8.0),
- REAL_CONST(85065.878016/8.0),
- REAL_CONST(85088.649540/8.0),
- REAL_CONST(85111.422589/8.0),
- REAL_CONST(85134.197161/8.0),
- REAL_CONST(85156.973256/8.0),
- REAL_CONST(85179.750874/8.0),
- REAL_CONST(85202.530016/8.0),
- REAL_CONST(85225.310679/8.0),
- REAL_CONST(85248.092865/8.0),
- REAL_CONST(85270.876574/8.0),
- REAL_CONST(85293.661804/8.0),
- REAL_CONST(85316.448556/8.0),
- REAL_CONST(85339.236830/8.0),
- REAL_CONST(85362.026625/8.0),
- REAL_CONST(85384.817941/8.0),
- REAL_CONST(85407.610779/8.0),
- REAL_CONST(85430.405137/8.0),
- REAL_CONST(85453.201015/8.0),
- REAL_CONST(85475.998415/8.0),
- REAL_CONST(85498.797334/8.0),
- REAL_CONST(85521.597773/8.0),
- REAL_CONST(85544.399732/8.0),
- REAL_CONST(85567.203211/8.0),
- REAL_CONST(85590.008209/8.0),
- REAL_CONST(85612.814726/8.0),
- REAL_CONST(85635.622762/8.0),
- REAL_CONST(85658.432317/8.0),
- REAL_CONST(85681.243390/8.0),
- REAL_CONST(85704.055982/8.0),
- REAL_CONST(85726.870092/8.0),
- REAL_CONST(85749.685720/8.0),
- REAL_CONST(85772.502865/8.0),
- REAL_CONST(85795.321529/8.0),
- REAL_CONST(85818.141709/8.0),
- REAL_CONST(85840.963407/8.0),
- REAL_CONST(85863.786622/8.0),
- REAL_CONST(85886.611353/8.0),
- REAL_CONST(85909.437601/8.0),
- REAL_CONST(85932.265365/8.0),
- REAL_CONST(85955.094646/8.0),
- REAL_CONST(85977.925442/8.0),
- REAL_CONST(86000.757754/8.0),
- REAL_CONST(86023.591582/8.0),
- REAL_CONST(86046.426925/8.0),
- REAL_CONST(86069.263783/8.0),
- REAL_CONST(86092.102156/8.0),
- REAL_CONST(86114.942043/8.0),
- REAL_CONST(86137.783446/8.0),
- REAL_CONST(86160.626362/8.0),
- REAL_CONST(86183.470793/8.0),
- REAL_CONST(86206.316738/8.0),
- REAL_CONST(86229.164196/8.0),
- REAL_CONST(86252.013168/8.0),
- REAL_CONST(86274.863653/8.0),
- REAL_CONST(86297.715652/8.0),
- REAL_CONST(86320.569163/8.0),
- REAL_CONST(86343.424187/8.0),
- REAL_CONST(86366.280724/8.0),
- REAL_CONST(86389.138773/8.0),
- REAL_CONST(86411.998334/8.0),
- REAL_CONST(86434.859407/8.0),
- REAL_CONST(86457.721991/8.0),
- REAL_CONST(86480.586088/8.0),
- REAL_CONST(86503.451695/8.0),
- REAL_CONST(86526.318814/8.0),
- REAL_CONST(86549.187443/8.0),
- REAL_CONST(86572.057584/8.0),
- REAL_CONST(86594.929234/8.0),
- REAL_CONST(86617.802396/8.0),
- REAL_CONST(86640.677067/8.0),
- REAL_CONST(86663.553248/8.0),
- REAL_CONST(86686.430939/8.0),
- REAL_CONST(86709.310140/8.0),
- REAL_CONST(86732.190849/8.0),
- REAL_CONST(86755.073068/8.0),
- REAL_CONST(86777.956796/8.0),
- REAL_CONST(86800.842033/8.0),
- REAL_CONST(86823.728778/8.0),
- REAL_CONST(86846.617031/8.0),
- REAL_CONST(86869.506793/8.0),
- REAL_CONST(86892.398063/8.0),
- REAL_CONST(86915.290840/8.0),
- REAL_CONST(86938.185125/8.0),
- REAL_CONST(86961.080917/8.0),
- REAL_CONST(86983.978216/8.0),
- REAL_CONST(87006.877023/8.0),
- REAL_CONST(87029.777336/8.0),
- REAL_CONST(87052.679155/8.0),
- REAL_CONST(87075.582481/8.0),
- REAL_CONST(87098.487313/8.0),
- REAL_CONST(87121.393651/8.0),
- REAL_CONST(87144.301495/8.0),
- REAL_CONST(87167.210844/8.0),
- REAL_CONST(87190.121699/8.0),
- REAL_CONST(87213.034059/8.0),
- REAL_CONST(87235.947924/8.0),
- REAL_CONST(87258.863293/8.0),
- REAL_CONST(87281.780168/8.0),
- REAL_CONST(87304.698546/8.0),
- REAL_CONST(87327.618429/8.0),
- REAL_CONST(87350.539816/8.0),
- REAL_CONST(87373.462706/8.0),
- REAL_CONST(87396.387100/8.0),
- REAL_CONST(87419.312998/8.0),
- REAL_CONST(87442.240398/8.0),
- REAL_CONST(87465.169302/8.0),
- REAL_CONST(87488.099708/8.0),
- REAL_CONST(87511.031617/8.0),
- REAL_CONST(87533.965029/8.0),
- REAL_CONST(87556.899943/8.0),
- REAL_CONST(87579.836358/8.0),
- REAL_CONST(87602.774276/8.0),
- REAL_CONST(87625.713695/8.0),
- REAL_CONST(87648.654615/8.0),
- REAL_CONST(87671.597037/8.0),
- REAL_CONST(87694.540960/8.0),
- REAL_CONST(87717.486383/8.0),
- REAL_CONST(87740.433308/8.0),
- REAL_CONST(87763.381732/8.0),
- REAL_CONST(87786.331657/8.0),
- REAL_CONST(87809.283082/8.0),
- REAL_CONST(87832.236007/8.0),
- REAL_CONST(87855.190431/8.0),
- REAL_CONST(87878.146355/8.0),
- REAL_CONST(87901.103778/8.0),
- REAL_CONST(87924.062700/8.0),
- REAL_CONST(87947.023122/8.0),
- REAL_CONST(87969.985041/8.0),
- REAL_CONST(87992.948460/8.0),
- REAL_CONST(88015.913376/8.0),
- REAL_CONST(88038.879791/8.0),
- REAL_CONST(88061.847703/8.0),
- REAL_CONST(88084.817113/8.0),
- REAL_CONST(88107.788021/8.0),
- REAL_CONST(88130.760426/8.0),
- REAL_CONST(88153.734328/8.0),
- REAL_CONST(88176.709727/8.0),
- REAL_CONST(88199.686623/8.0),
- REAL_CONST(88222.665015/8.0),
- REAL_CONST(88245.644904/8.0),
- REAL_CONST(88268.626288/8.0),
- REAL_CONST(88291.609169/8.0),
- REAL_CONST(88314.593546/8.0),
- REAL_CONST(88337.579417/8.0),
- REAL_CONST(88360.566785/8.0),
- REAL_CONST(88383.555647/8.0),
- REAL_CONST(88406.546005/8.0),
- REAL_CONST(88429.537857/8.0),
- REAL_CONST(88452.531204/8.0),
- REAL_CONST(88475.526045/8.0),
- REAL_CONST(88498.522380/8.0),
- REAL_CONST(88521.520210/8.0),
- REAL_CONST(88544.519533/8.0),
- REAL_CONST(88567.520350/8.0),
- REAL_CONST(88590.522660/8.0),
- REAL_CONST(88613.526463/8.0),
- REAL_CONST(88636.531760/8.0),
- REAL_CONST(88659.538549/8.0),
- REAL_CONST(88682.546831/8.0),
- REAL_CONST(88705.556605/8.0),
- REAL_CONST(88728.567872/8.0),
- REAL_CONST(88751.580631/8.0),
- REAL_CONST(88774.594881/8.0),
- REAL_CONST(88797.610623/8.0),
- REAL_CONST(88820.627857/8.0),
- REAL_CONST(88843.646582/8.0),
- REAL_CONST(88866.666798/8.0),
- REAL_CONST(88889.688505/8.0),
- REAL_CONST(88912.711703/8.0),
- REAL_CONST(88935.736391/8.0),
- REAL_CONST(88958.762569/8.0),
- REAL_CONST(88981.790238/8.0),
- REAL_CONST(89004.819397/8.0),
- REAL_CONST(89027.850045/8.0),
- REAL_CONST(89050.882183/8.0),
- REAL_CONST(89073.915810/8.0),
- REAL_CONST(89096.950926/8.0),
- REAL_CONST(89119.987532/8.0),
- REAL_CONST(89143.025626/8.0),
- REAL_CONST(89166.065208/8.0),
- REAL_CONST(89189.106279/8.0),
- REAL_CONST(89212.148839/8.0),
- REAL_CONST(89235.192886/8.0),
- REAL_CONST(89258.238421/8.0),
- REAL_CONST(89281.285444/8.0),
- REAL_CONST(89304.333954/8.0),
- REAL_CONST(89327.383952/8.0),
- REAL_CONST(89350.435436/8.0),
- REAL_CONST(89373.488407/8.0),
- REAL_CONST(89396.542865/8.0),
- REAL_CONST(89419.598810/8.0),
- REAL_CONST(89442.656240/8.0),
- REAL_CONST(89465.715157/8.0),
- REAL_CONST(89488.775560/8.0),
- REAL_CONST(89511.837448/8.0),
- REAL_CONST(89534.900822/8.0),
- REAL_CONST(89557.965682/8.0),
- REAL_CONST(89581.032026/8.0),
- REAL_CONST(89604.099855/8.0),
- REAL_CONST(89627.169170/8.0),
- REAL_CONST(89650.239968/8.0),
- REAL_CONST(89673.312251/8.0),
- REAL_CONST(89696.386018/8.0),
- REAL_CONST(89719.461270/8.0),
- REAL_CONST(89742.538005/8.0),
- REAL_CONST(89765.616223/8.0),
- REAL_CONST(89788.695925/8.0),
- REAL_CONST(89811.777111/8.0),
- REAL_CONST(89834.859779/8.0),
- REAL_CONST(89857.943930/8.0),
- REAL_CONST(89881.029564/8.0),
- REAL_CONST(89904.116680/8.0),
- REAL_CONST(89927.205278/8.0),
- REAL_CONST(89950.295359/8.0),
- REAL_CONST(89973.386921/8.0),
- REAL_CONST(89996.479966/8.0),
- REAL_CONST(90019.574491/8.0),
- REAL_CONST(90042.670498/8.0),
- REAL_CONST(90065.767986/8.0),
- REAL_CONST(90088.866955/8.0),
- REAL_CONST(90111.967405/8.0),
- REAL_CONST(90135.069336/8.0),
- REAL_CONST(90158.172746/8.0),
- REAL_CONST(90181.277637/8.0),
- REAL_CONST(90204.384008/8.0),
- REAL_CONST(90227.491859/8.0),
- REAL_CONST(90250.601189/8.0),
- REAL_CONST(90273.711999/8.0),
- REAL_CONST(90296.824288/8.0),
- REAL_CONST(90319.938056/8.0),
- REAL_CONST(90343.053303/8.0),
- REAL_CONST(90366.170029/8.0),
- REAL_CONST(90389.288233/8.0),
- REAL_CONST(90412.407915/8.0),
- REAL_CONST(90435.529075/8.0),
- REAL_CONST(90458.651714/8.0),
- REAL_CONST(90481.775830/8.0),
- REAL_CONST(90504.901423/8.0),
- REAL_CONST(90528.028494/8.0),
- REAL_CONST(90551.157042/8.0),
- REAL_CONST(90574.287067/8.0),
- REAL_CONST(90597.418569/8.0),
- REAL_CONST(90620.551548/8.0),
- REAL_CONST(90643.686002/8.0),
- REAL_CONST(90666.821934/8.0),
- REAL_CONST(90689.959341/8.0),
- REAL_CONST(90713.098223/8.0),
- REAL_CONST(90736.238582/8.0),
- REAL_CONST(90759.380416/8.0),
- REAL_CONST(90782.523725/8.0),
- REAL_CONST(90805.668510/8.0),
- REAL_CONST(90828.814769/8.0),
- REAL_CONST(90851.962503/8.0),
- REAL_CONST(90875.111711/8.0),
- REAL_CONST(90898.262394/8.0),
- REAL_CONST(90921.414551/8.0),
- REAL_CONST(90944.568182/8.0),
- REAL_CONST(90967.723287/8.0),
- REAL_CONST(90990.879865/8.0),
- REAL_CONST(91014.037916/8.0),
- REAL_CONST(91037.197441/8.0),
- REAL_CONST(91060.358439/8.0),
- REAL_CONST(91083.520910/8.0),
- REAL_CONST(91106.684853/8.0),
- REAL_CONST(91129.850269/8.0),
- REAL_CONST(91153.017157/8.0),
- REAL_CONST(91176.185517/8.0),
- REAL_CONST(91199.355349/8.0),
- REAL_CONST(91222.526653/8.0),
- REAL_CONST(91245.699428/8.0),
- REAL_CONST(91268.873675/8.0),
- REAL_CONST(91292.049393/8.0),
- REAL_CONST(91315.226581/8.0),
- REAL_CONST(91338.405241/8.0),
- REAL_CONST(91361.585371/8.0),
- REAL_CONST(91384.766971/8.0),
- REAL_CONST(91407.950042/8.0),
- REAL_CONST(91431.134583/8.0),
- REAL_CONST(91454.320593/8.0),
- REAL_CONST(91477.508074/8.0),
- REAL_CONST(91500.697023/8.0),
- REAL_CONST(91523.887442/8.0),
- REAL_CONST(91547.079330/8.0),
- REAL_CONST(91570.272687/8.0),
- REAL_CONST(91593.467513/8.0),
- REAL_CONST(91616.663807/8.0),
- REAL_CONST(91639.861570/8.0),
- REAL_CONST(91663.060800/8.0),
- REAL_CONST(91686.261499/8.0),
- REAL_CONST(91709.463666/8.0),
- REAL_CONST(91732.667300/8.0),
- REAL_CONST(91755.872401/8.0),
- REAL_CONST(91779.078970/8.0),
- REAL_CONST(91802.287006/8.0),
- REAL_CONST(91825.496509/8.0),
- REAL_CONST(91848.707478/8.0),
- REAL_CONST(91871.919914/8.0),
- REAL_CONST(91895.133816/8.0),
- REAL_CONST(91918.349185/8.0),
- REAL_CONST(91941.566019/8.0),
- REAL_CONST(91964.784319/8.0),
- REAL_CONST(91988.004084/8.0),
- REAL_CONST(92011.225315/8.0),
- REAL_CONST(92034.448012/8.0),
- REAL_CONST(92057.672173/8.0),
- REAL_CONST(92080.897799/8.0),
- REAL_CONST(92104.124889/8.0),
- REAL_CONST(92127.353445/8.0),
- REAL_CONST(92150.583464/8.0),
- REAL_CONST(92173.814948/8.0),
- REAL_CONST(92197.047895/8.0),
- REAL_CONST(92220.282306/8.0),
- REAL_CONST(92243.518181/8.0),
- REAL_CONST(92266.755519/8.0),
- REAL_CONST(92289.994320/8.0),
- REAL_CONST(92313.234584/8.0),
- REAL_CONST(92336.476311/8.0),
- REAL_CONST(92359.719501/8.0),
- REAL_CONST(92382.964153/8.0),
- REAL_CONST(92406.210267/8.0),
- REAL_CONST(92429.457843/8.0),
- REAL_CONST(92452.706882/8.0),
- REAL_CONST(92475.957382/8.0),
- REAL_CONST(92499.209343/8.0),
- REAL_CONST(92522.462766/8.0),
- REAL_CONST(92545.717650/8.0),
- REAL_CONST(92568.973995/8.0),
- REAL_CONST(92592.231800/8.0),
- REAL_CONST(92615.491067/8.0),
- REAL_CONST(92638.751793/8.0),
- REAL_CONST(92662.013980/8.0),
- REAL_CONST(92685.277627/8.0),
- REAL_CONST(92708.542734/8.0),
- REAL_CONST(92731.809300/8.0),
- REAL_CONST(92755.077326/8.0),
- REAL_CONST(92778.346812/8.0),
- REAL_CONST(92801.617756/8.0),
- REAL_CONST(92824.890160/8.0),
- REAL_CONST(92848.164022/8.0),
- REAL_CONST(92871.439342/8.0),
- REAL_CONST(92894.716122/8.0),
- REAL_CONST(92917.994359/8.0),
- REAL_CONST(92941.274054/8.0),
- REAL_CONST(92964.555207/8.0),
- REAL_CONST(92987.837818/8.0),
- REAL_CONST(93011.121887/8.0),
- REAL_CONST(93034.407412/8.0),
- REAL_CONST(93057.694395/8.0),
- REAL_CONST(93080.982835/8.0),
- REAL_CONST(93104.272732/8.0),
- REAL_CONST(93127.564085/8.0),
- REAL_CONST(93150.856894/8.0),
- REAL_CONST(93174.151160/8.0),
- REAL_CONST(93197.446881/8.0),
- REAL_CONST(93220.744059/8.0),
- REAL_CONST(93244.042692/8.0),
- REAL_CONST(93267.342781/8.0),
- REAL_CONST(93290.644325/8.0),
- REAL_CONST(93313.947324/8.0),
- REAL_CONST(93337.251778/8.0),
- REAL_CONST(93360.557687/8.0),
- REAL_CONST(93383.865050/8.0),
- REAL_CONST(93407.173868/8.0),
- REAL_CONST(93430.484140/8.0),
- REAL_CONST(93453.795866/8.0),
- REAL_CONST(93477.109046/8.0),
- REAL_CONST(93500.423680/8.0),
- REAL_CONST(93523.739767/8.0),
- REAL_CONST(93547.057307/8.0),
- REAL_CONST(93570.376300/8.0),
- REAL_CONST(93593.696747/8.0),
- REAL_CONST(93617.018646/8.0),
- REAL_CONST(93640.341998/8.0),
- REAL_CONST(93663.666802/8.0),
- REAL_CONST(93686.993058/8.0),
- REAL_CONST(93710.320766/8.0),
- REAL_CONST(93733.649927/8.0),
- REAL_CONST(93756.980539/8.0),
- REAL_CONST(93780.312602/8.0),
- REAL_CONST(93803.646117/8.0),
- REAL_CONST(93826.981083/8.0),
- REAL_CONST(93850.317499/8.0),
- REAL_CONST(93873.655367/8.0),
- REAL_CONST(93896.994685/8.0),
- REAL_CONST(93920.335454/8.0),
- REAL_CONST(93943.677673/8.0),
- REAL_CONST(93967.021342/8.0),
- REAL_CONST(93990.366460/8.0),
- REAL_CONST(94013.713029/8.0),
- REAL_CONST(94037.061047/8.0),
- REAL_CONST(94060.410514/8.0),
- REAL_CONST(94083.761430/8.0),
- REAL_CONST(94107.113796/8.0),
- REAL_CONST(94130.467610/8.0),
- REAL_CONST(94153.822873/8.0),
- REAL_CONST(94177.179584/8.0),
- REAL_CONST(94200.537744/8.0),
- REAL_CONST(94223.897351/8.0),
- REAL_CONST(94247.258407/8.0),
- REAL_CONST(94270.620910/8.0),
- REAL_CONST(94293.984861/8.0),
- REAL_CONST(94317.350259/8.0),
- REAL_CONST(94340.717104/8.0),
- REAL_CONST(94364.085396/8.0),
- REAL_CONST(94387.455135/8.0),
- REAL_CONST(94410.826321/8.0),
- REAL_CONST(94434.198953/8.0),
- REAL_CONST(94457.573032/8.0),
- REAL_CONST(94480.948556/8.0),
- REAL_CONST(94504.325527/8.0),
- REAL_CONST(94527.703943/8.0),
- REAL_CONST(94551.083805/8.0),
- REAL_CONST(94574.465112/8.0),
- REAL_CONST(94597.847864/8.0),
- REAL_CONST(94621.232062/8.0),
- REAL_CONST(94644.617704/8.0),
- REAL_CONST(94668.004791/8.0),
- REAL_CONST(94691.393322/8.0),
- REAL_CONST(94714.783298/8.0),
- REAL_CONST(94738.174718/8.0),
- REAL_CONST(94761.567582/8.0),
- REAL_CONST(94784.961890/8.0),
- REAL_CONST(94808.357641/8.0),
- REAL_CONST(94831.754835/8.0),
- REAL_CONST(94855.153473/8.0),
- REAL_CONST(94878.553554/8.0),
- REAL_CONST(94901.955078/8.0),
- REAL_CONST(94925.358045/8.0),
- REAL_CONST(94948.762454/8.0),
- REAL_CONST(94972.168305/8.0),
- REAL_CONST(94995.575599/8.0),
- REAL_CONST(95018.984335/8.0),
- REAL_CONST(95042.394512/8.0),
- REAL_CONST(95065.806131/8.0),
- REAL_CONST(95089.219192/8.0),
- REAL_CONST(95112.633694/8.0),
- REAL_CONST(95136.049637/8.0),
- REAL_CONST(95159.467021/8.0),
- REAL_CONST(95182.885845/8.0),
- REAL_CONST(95206.306111/8.0),
- REAL_CONST(95229.727816/8.0),
- REAL_CONST(95253.150962/8.0),
- REAL_CONST(95276.575548/8.0),
- REAL_CONST(95300.001574/8.0),
- REAL_CONST(95323.429040/8.0),
- REAL_CONST(95346.857945/8.0),
- REAL_CONST(95370.288289/8.0),
- REAL_CONST(95393.720073/8.0),
- REAL_CONST(95417.153295/8.0),
- REAL_CONST(95440.587957/8.0),
- REAL_CONST(95464.024057/8.0),
- REAL_CONST(95487.461595/8.0),
- REAL_CONST(95510.900572/8.0),
- REAL_CONST(95534.340987/8.0),
- REAL_CONST(95557.782839/8.0),
- REAL_CONST(95581.226130/8.0),
- REAL_CONST(95604.670858/8.0),
- REAL_CONST(95628.117024/8.0),
- REAL_CONST(95651.564626/8.0),
- REAL_CONST(95675.013666/8.0),
- REAL_CONST(95698.464143/8.0),
- REAL_CONST(95721.916056/8.0),
- REAL_CONST(95745.369406/8.0),
- REAL_CONST(95768.824192/8.0),
- REAL_CONST(95792.280415/8.0),
- REAL_CONST(95815.738073/8.0),
- REAL_CONST(95839.197167/8.0),
- REAL_CONST(95862.657697/8.0),
- REAL_CONST(95886.119662/8.0),
- REAL_CONST(95909.583063/8.0),
- REAL_CONST(95933.047899/8.0),
- REAL_CONST(95956.514169/8.0),
- REAL_CONST(95979.981875/8.0),
- REAL_CONST(96003.451015/8.0),
- REAL_CONST(96026.921589/8.0),
- REAL_CONST(96050.393598/8.0),
- REAL_CONST(96073.867041/8.0),
- REAL_CONST(96097.341917/8.0),
- REAL_CONST(96120.818227/8.0),
- REAL_CONST(96144.295971/8.0),
- REAL_CONST(96167.775148/8.0),
- REAL_CONST(96191.255759/8.0),
- REAL_CONST(96214.737802/8.0),
- REAL_CONST(96238.221279/8.0),
- REAL_CONST(96261.706187/8.0),
- REAL_CONST(96285.192529/8.0),
- REAL_CONST(96308.680302/8.0),
- REAL_CONST(96332.169508/8.0),
- REAL_CONST(96355.660146/8.0),
- REAL_CONST(96379.152216/8.0),
- REAL_CONST(96402.645717/8.0),
- REAL_CONST(96426.140650/8.0),
- REAL_CONST(96449.637013/8.0),
- REAL_CONST(96473.134808/8.0),
- REAL_CONST(96496.634034/8.0),
- REAL_CONST(96520.134691/8.0),
- REAL_CONST(96543.636778/8.0),
- REAL_CONST(96567.140296/8.0),
- REAL_CONST(96590.645244/8.0),
- REAL_CONST(96614.151622/8.0),
- REAL_CONST(96637.659429/8.0),
- REAL_CONST(96661.168667/8.0),
- REAL_CONST(96684.679334/8.0),
- REAL_CONST(96708.191430/8.0),
- REAL_CONST(96731.704956/8.0),
- REAL_CONST(96755.219910/8.0),
- REAL_CONST(96778.736294/8.0),
- REAL_CONST(96802.254106/8.0),
- REAL_CONST(96825.773346/8.0),
- REAL_CONST(96849.294015/8.0),
- REAL_CONST(96872.816112/8.0),
- REAL_CONST(96896.339637/8.0),
- REAL_CONST(96919.864589/8.0),
- REAL_CONST(96943.390970/8.0),
- REAL_CONST(96966.918777/8.0),
- REAL_CONST(96990.448012/8.0),
- REAL_CONST(97013.978674/8.0),
- REAL_CONST(97037.510763/8.0),
- REAL_CONST(97061.044279/8.0),
- REAL_CONST(97084.579221/8.0),
- REAL_CONST(97108.115590/8.0),
- REAL_CONST(97131.653385/8.0),
- REAL_CONST(97155.192606/8.0),
- REAL_CONST(97178.733253/8.0),
- REAL_CONST(97202.275326/8.0),
- REAL_CONST(97225.818824/8.0),
- REAL_CONST(97249.363747/8.0),
- REAL_CONST(97272.910096/8.0),
- REAL_CONST(97296.457870/8.0),
- REAL_CONST(97320.007069/8.0),
- REAL_CONST(97343.557692/8.0),
- REAL_CONST(97367.109740/8.0),
- REAL_CONST(97390.663212/8.0),
- REAL_CONST(97414.218108/8.0),
- REAL_CONST(97437.774428/8.0),
- REAL_CONST(97461.332172/8.0),
- REAL_CONST(97484.891340/8.0),
- REAL_CONST(97508.451931/8.0),
- REAL_CONST(97532.013946/8.0),
- REAL_CONST(97555.577383/8.0),
- REAL_CONST(97579.142244/8.0),
- REAL_CONST(97602.708527/8.0),
- REAL_CONST(97626.276233/8.0),
- REAL_CONST(97649.845362/8.0),
- REAL_CONST(97673.415912/8.0),
- REAL_CONST(97696.987885/8.0),
- REAL_CONST(97720.561280/8.0),
- REAL_CONST(97744.136096/8.0),
- REAL_CONST(97767.712334/8.0),
- REAL_CONST(97791.289994/8.0),
- REAL_CONST(97814.869074/8.0),
- REAL_CONST(97838.449576/8.0),
- REAL_CONST(97862.031499/8.0),
- REAL_CONST(97885.614842/8.0),
- REAL_CONST(97909.199606/8.0),
- REAL_CONST(97932.785791/8.0),
- REAL_CONST(97956.373395/8.0),
- REAL_CONST(97979.962420/8.0),
- REAL_CONST(98003.552864/8.0),
- REAL_CONST(98027.144728/8.0),
- REAL_CONST(98050.738012/8.0),
- REAL_CONST(98074.332715/8.0),
- REAL_CONST(98097.928837/8.0),
- REAL_CONST(98121.526378/8.0),
- REAL_CONST(98145.125339/8.0),
- REAL_CONST(98168.725717/8.0),
- REAL_CONST(98192.327515/8.0),
- REAL_CONST(98215.930730/8.0),
- REAL_CONST(98239.535364/8.0),
- REAL_CONST(98263.141416/8.0),
- REAL_CONST(98286.748885/8.0),
- REAL_CONST(98310.357772/8.0),
- REAL_CONST(98333.968077/8.0),
- REAL_CONST(98357.579799/8.0),
- REAL_CONST(98381.192938/8.0),
- REAL_CONST(98404.807495/8.0),
- REAL_CONST(98428.423468/8.0),
- REAL_CONST(98452.040857/8.0),
- REAL_CONST(98475.659663/8.0),
- REAL_CONST(98499.279885/8.0),
- REAL_CONST(98522.901524/8.0),
- REAL_CONST(98546.524578/8.0),
- REAL_CONST(98570.149049/8.0),
- REAL_CONST(98593.774934/8.0),
- REAL_CONST(98617.402236/8.0),
- REAL_CONST(98641.030952/8.0),
- REAL_CONST(98664.661084/8.0),
- REAL_CONST(98688.292630/8.0),
- REAL_CONST(98711.925592/8.0),
- REAL_CONST(98735.559968/8.0),
- REAL_CONST(98759.195758/8.0),
- REAL_CONST(98782.832963/8.0),
- REAL_CONST(98806.471581/8.0),
- REAL_CONST(98830.111614/8.0),
- REAL_CONST(98853.753060/8.0),
- REAL_CONST(98877.395920/8.0),
- REAL_CONST(98901.040194/8.0),
- REAL_CONST(98924.685880/8.0),
- REAL_CONST(98948.332980/8.0),
- REAL_CONST(98971.981493/8.0),
- REAL_CONST(98995.631418/8.0),
- REAL_CONST(99019.282756/8.0),
- REAL_CONST(99042.935506/8.0),
- REAL_CONST(99066.589669/8.0),
- REAL_CONST(99090.245243/8.0),
- REAL_CONST(99113.902230/8.0),
- REAL_CONST(99137.560628/8.0),
- REAL_CONST(99161.220438/8.0),
- REAL_CONST(99184.881659/8.0),
- REAL_CONST(99208.544291/8.0),
- REAL_CONST(99232.208335/8.0),
- REAL_CONST(99255.873789/8.0),
- REAL_CONST(99279.540654/8.0),
- REAL_CONST(99303.208930/8.0),
- REAL_CONST(99326.878616/8.0),
- REAL_CONST(99350.549712/8.0),
- REAL_CONST(99374.222218/8.0),
- REAL_CONST(99397.896134/8.0),
- REAL_CONST(99421.571460/8.0),
- REAL_CONST(99445.248195/8.0),
- REAL_CONST(99468.926340/8.0),
- REAL_CONST(99492.605894/8.0),
- REAL_CONST(99516.286857/8.0),
- REAL_CONST(99539.969229/8.0),
- REAL_CONST(99563.653009/8.0),
- REAL_CONST(99587.338198/8.0),
- REAL_CONST(99611.024796/8.0),
- REAL_CONST(99634.712801/8.0),
- REAL_CONST(99658.402215/8.0),
- REAL_CONST(99682.093036/8.0),
- REAL_CONST(99705.785265/8.0),
- REAL_CONST(99729.478902/8.0),
- REAL_CONST(99753.173946/8.0),
- REAL_CONST(99776.870398/8.0),
- REAL_CONST(99800.568256/8.0),
- REAL_CONST(99824.267521/8.0),
- REAL_CONST(99847.968193/8.0),
- REAL_CONST(99871.670271/8.0),
- REAL_CONST(99895.373756/8.0),
- REAL_CONST(99919.078647/8.0),
- REAL_CONST(99942.784944/8.0),
- REAL_CONST(99966.492647/8.0),
- REAL_CONST(99990.201755/8.0),
- REAL_CONST(100013.912269/8.0),
- REAL_CONST(100037.624189/8.0),
- REAL_CONST(100061.337513/8.0),
- REAL_CONST(100085.052243/8.0),
- REAL_CONST(100108.768377/8.0),
- REAL_CONST(100132.485917/8.0),
- REAL_CONST(100156.204860/8.0),
- REAL_CONST(100179.925208/8.0),
- REAL_CONST(100203.646961/8.0),
- REAL_CONST(100227.370117/8.0),
- REAL_CONST(100251.094677/8.0),
- REAL_CONST(100274.820641/8.0),
- REAL_CONST(100298.548008/8.0),
- REAL_CONST(100322.276779/8.0),
- REAL_CONST(100346.006953/8.0),
- REAL_CONST(100369.738530/8.0),
- REAL_CONST(100393.471510/8.0),
- REAL_CONST(100417.205892/8.0),
- REAL_CONST(100440.941677/8.0),
- REAL_CONST(100464.678865/8.0),
- REAL_CONST(100488.417454/8.0),
- REAL_CONST(100512.157446/8.0),
- REAL_CONST(100535.898840/8.0),
- REAL_CONST(100559.641635/8.0),
- REAL_CONST(100583.385832/8.0),
- REAL_CONST(100607.131430/8.0),
- REAL_CONST(100630.878429/8.0),
- REAL_CONST(100654.626830/8.0),
- REAL_CONST(100678.376631/8.0),
- REAL_CONST(100702.127833/8.0),
- REAL_CONST(100725.880436/8.0),
- REAL_CONST(100749.634438/8.0),
- REAL_CONST(100773.389842/8.0),
- REAL_CONST(100797.146645/8.0),
- REAL_CONST(100820.904848/8.0),
- REAL_CONST(100844.664451/8.0),
- REAL_CONST(100868.425453/8.0),
- REAL_CONST(100892.187855/8.0),
- REAL_CONST(100915.951656/8.0),
- REAL_CONST(100939.716856/8.0),
- REAL_CONST(100963.483455/8.0),
- REAL_CONST(100987.251453/8.0),
- REAL_CONST(101011.020849/8.0),
- REAL_CONST(101034.791644/8.0),
- REAL_CONST(101058.563837/8.0),
- REAL_CONST(101082.337428/8.0),
- REAL_CONST(101106.112417/8.0),
- REAL_CONST(101129.888803/8.0),
- REAL_CONST(101153.666587/8.0),
- REAL_CONST(101177.445769/8.0),
- REAL_CONST(101201.226348/8.0),
- REAL_CONST(101225.008324/8.0),
- REAL_CONST(101248.791697/8.0),
- REAL_CONST(101272.576467/8.0),
- REAL_CONST(101296.362633/8.0),
- REAL_CONST(101320.150196/8.0),
- REAL_CONST(101343.939155/8.0),
- REAL_CONST(101367.729510/8.0),
- REAL_CONST(101391.521261/8.0),
- REAL_CONST(101415.314408/8.0),
- REAL_CONST(101439.108950/8.0),
- REAL_CONST(101462.904888/8.0),
- REAL_CONST(101486.702221/8.0),
- REAL_CONST(101510.500949/8.0),
- REAL_CONST(101534.301073/8.0),
- REAL_CONST(101558.102591/8.0),
- REAL_CONST(101581.905503/8.0),
- REAL_CONST(101605.709811/8.0),
- REAL_CONST(101629.515512/8.0),
- REAL_CONST(101653.322608/8.0),
- REAL_CONST(101677.131097/8.0),
- REAL_CONST(101700.940981/8.0),
- REAL_CONST(101724.752258/8.0),
- REAL_CONST(101748.564928/8.0),
- REAL_CONST(101772.378992/8.0),
- REAL_CONST(101796.194449/8.0),
- REAL_CONST(101820.011299/8.0),
- REAL_CONST(101843.829542/8.0),
- REAL_CONST(101867.649178/8.0),
- REAL_CONST(101891.470206/8.0),
- REAL_CONST(101915.292626/8.0),
- REAL_CONST(101939.116439/8.0),
- REAL_CONST(101962.941644/8.0),
- REAL_CONST(101986.768240/8.0),
- REAL_CONST(102010.596228/8.0),
- REAL_CONST(102034.425608/8.0),
- REAL_CONST(102058.256379/8.0),
- REAL_CONST(102082.088542/8.0),
- REAL_CONST(102105.922095/8.0),
- REAL_CONST(102129.757039/8.0),
- REAL_CONST(102153.593374/8.0),
- REAL_CONST(102177.431100/8.0),
- REAL_CONST(102201.270216/8.0),
- REAL_CONST(102225.110722/8.0),
- REAL_CONST(102248.952618/8.0),
- REAL_CONST(102272.795904/8.0),
- REAL_CONST(102296.640580/8.0),
- REAL_CONST(102320.486646/8.0),
- REAL_CONST(102344.334101/8.0),
- REAL_CONST(102368.182945/8.0),
- REAL_CONST(102392.033178/8.0),
- REAL_CONST(102415.884801/8.0),
- REAL_CONST(102439.737812/8.0),
- REAL_CONST(102463.592211/8.0),
- REAL_CONST(102487.448000/8.0),
- REAL_CONST(102511.305176/8.0),
- REAL_CONST(102535.163741/8.0),
- REAL_CONST(102559.023693/8.0),
- REAL_CONST(102582.885033/8.0),
- REAL_CONST(102606.747761/8.0),
- REAL_CONST(102630.611877/8.0),
- REAL_CONST(102654.477380/8.0),
- REAL_CONST(102678.344270/8.0),
- REAL_CONST(102702.212547/8.0),
- REAL_CONST(102726.082211/8.0),
- REAL_CONST(102749.953261/8.0),
- REAL_CONST(102773.825698/8.0),
- REAL_CONST(102797.699521/8.0),
- REAL_CONST(102821.574731/8.0),
- REAL_CONST(102845.451327/8.0),
- REAL_CONST(102869.329308/8.0),
- REAL_CONST(102893.208675/8.0),
- REAL_CONST(102917.089428/8.0),
- REAL_CONST(102940.971566/8.0),
- REAL_CONST(102964.855090/8.0),
- REAL_CONST(102988.739998/8.0),
- REAL_CONST(103012.626292/8.0),
- REAL_CONST(103036.513970/8.0),
- REAL_CONST(103060.403033/8.0),
- REAL_CONST(103084.293480/8.0),
- REAL_CONST(103108.185311/8.0),
- REAL_CONST(103132.078527/8.0),
- REAL_CONST(103155.973126/8.0),
- REAL_CONST(103179.869110/8.0),
- REAL_CONST(103203.766477/8.0),
- REAL_CONST(103227.665227/8.0),
- REAL_CONST(103251.565361/8.0),
- REAL_CONST(103275.466878/8.0),
- REAL_CONST(103299.369777/8.0),
- REAL_CONST(103323.274060/8.0),
- REAL_CONST(103347.179725/8.0),
- REAL_CONST(103371.086773/8.0),
- REAL_CONST(103394.995203/8.0),
- REAL_CONST(103418.905016/8.0),
- REAL_CONST(103442.816210/8.0),
- REAL_CONST(103466.728787/8.0),
- REAL_CONST(103490.642745/8.0),
- REAL_CONST(103514.558084/8.0),
- REAL_CONST(103538.474805/8.0),
- REAL_CONST(103562.392907/8.0),
- REAL_CONST(103586.312391/8.0),
- REAL_CONST(103610.233255/8.0),
- REAL_CONST(103634.155500/8.0),
- REAL_CONST(103658.079125/8.0),
- REAL_CONST(103682.004131/8.0),
- REAL_CONST(103705.930517/8.0),
- REAL_CONST(103729.858284/8.0),
- REAL_CONST(103753.787430/8.0),
- REAL_CONST(103777.717956/8.0),
- REAL_CONST(103801.649862/8.0),
- REAL_CONST(103825.583147/8.0),
- REAL_CONST(103849.517812/8.0),
- REAL_CONST(103873.453855/8.0),
- REAL_CONST(103897.391278/8.0),
- REAL_CONST(103921.330080/8.0),
- REAL_CONST(103945.270260/8.0),
- REAL_CONST(103969.211819/8.0),
- REAL_CONST(103993.154756/8.0),
- REAL_CONST(104017.099071/8.0),
- REAL_CONST(104041.044764/8.0),
- REAL_CONST(104064.991836/8.0),
- REAL_CONST(104088.940285/8.0),
- REAL_CONST(104112.890111/8.0),
- REAL_CONST(104136.841315/8.0),
- REAL_CONST(104160.793897/8.0),
- REAL_CONST(104184.747855/8.0),
- REAL_CONST(104208.703190/8.0),
- REAL_CONST(104232.659902/8.0),
- REAL_CONST(104256.617991/8.0),
- REAL_CONST(104280.577456/8.0),
- REAL_CONST(104304.538298/8.0),
- REAL_CONST(104328.500515/8.0),
- REAL_CONST(104352.464109/8.0),
- REAL_CONST(104376.429078/8.0),
- REAL_CONST(104400.395424/8.0),
- REAL_CONST(104424.363144/8.0),
- REAL_CONST(104448.332240/8.0),
- REAL_CONST(104472.302712/8.0),
- REAL_CONST(104496.274558/8.0),
- REAL_CONST(104520.247779/8.0),
- REAL_CONST(104544.222375/8.0),
- REAL_CONST(104568.198345/8.0),
- REAL_CONST(104592.175690/8.0),
- REAL_CONST(104616.154409/8.0),
- REAL_CONST(104640.134503/8.0),
- REAL_CONST(104664.115970/8.0),
- REAL_CONST(104688.098811/8.0),
- REAL_CONST(104712.083025/8.0),
- REAL_CONST(104736.068613/8.0),
- REAL_CONST(104760.055575/8.0),
- REAL_CONST(104784.043909/8.0),
- REAL_CONST(104808.033617/8.0),
- REAL_CONST(104832.024697/8.0),
- REAL_CONST(104856.017150/8.0),
- REAL_CONST(104880.010976/8.0),
- REAL_CONST(104904.006174/8.0),
- REAL_CONST(104928.002744/8.0),
- REAL_CONST(104952.000686/8.0),
- REAL_CONST(104976.000000/8.0),
- REAL_CONST(105000.000686/8.0),
- REAL_CONST(105024.002743/8.0),
- REAL_CONST(105048.006172/8.0),
- REAL_CONST(105072.010972/8.0),
- REAL_CONST(105096.017144/8.0),
- REAL_CONST(105120.024686/8.0),
- REAL_CONST(105144.033599/8.0),
- REAL_CONST(105168.043882/8.0),
- REAL_CONST(105192.055537/8.0),
- REAL_CONST(105216.068561/8.0),
- REAL_CONST(105240.082956/8.0),
- REAL_CONST(105264.098720/8.0),
- REAL_CONST(105288.115855/8.0),
- REAL_CONST(105312.134359/8.0),
- REAL_CONST(105336.154233/8.0),
- REAL_CONST(105360.175476/8.0),
- REAL_CONST(105384.198088/8.0),
- REAL_CONST(105408.222070/8.0),
- REAL_CONST(105432.247420/8.0),
- REAL_CONST(105456.274140/8.0),
- REAL_CONST(105480.302227/8.0),
- REAL_CONST(105504.331684/8.0),
- REAL_CONST(105528.362508/8.0),
- REAL_CONST(105552.394701/8.0),
- REAL_CONST(105576.428262/8.0),
- REAL_CONST(105600.463190/8.0),
- REAL_CONST(105624.499487/8.0),
- REAL_CONST(105648.537150/8.0),
- REAL_CONST(105672.576181/8.0),
- REAL_CONST(105696.616580/8.0),
- REAL_CONST(105720.658345/8.0),
- REAL_CONST(105744.701478/8.0),
- REAL_CONST(105768.745977/8.0),
- REAL_CONST(105792.791842/8.0),
- REAL_CONST(105816.839074/8.0),
- REAL_CONST(105840.887673/8.0),
- REAL_CONST(105864.937637/8.0),
- REAL_CONST(105888.988968/8.0),
- REAL_CONST(105913.041664/8.0),
- REAL_CONST(105937.095726/8.0),
- REAL_CONST(105961.151153/8.0),
- REAL_CONST(105985.207946/8.0),
- REAL_CONST(106009.266104/8.0),
- REAL_CONST(106033.325627/8.0),
- REAL_CONST(106057.386515/8.0),
- REAL_CONST(106081.448768/8.0),
- REAL_CONST(106105.512385/8.0),
- REAL_CONST(106129.577367/8.0),
- REAL_CONST(106153.643712/8.0),
- REAL_CONST(106177.711422/8.0),
- REAL_CONST(106201.780496/8.0),
- REAL_CONST(106225.850934/8.0),
- REAL_CONST(106249.922736/8.0),
- REAL_CONST(106273.995901/8.0),
- REAL_CONST(106298.070429/8.0),
- REAL_CONST(106322.146320/8.0),
- REAL_CONST(106346.223575/8.0),
- REAL_CONST(106370.302192/8.0),
- REAL_CONST(106394.382172/8.0),
- REAL_CONST(106418.463515/8.0),
- REAL_CONST(106442.546220/8.0),
- REAL_CONST(106466.630287/8.0),
- REAL_CONST(106490.715717/8.0),
- REAL_CONST(106514.802508/8.0),
- REAL_CONST(106538.890661/8.0),
- REAL_CONST(106562.980176/8.0),
- REAL_CONST(106587.071052/8.0),
- REAL_CONST(106611.163290/8.0),
- REAL_CONST(106635.256889/8.0),
- REAL_CONST(106659.351849/8.0),
- REAL_CONST(106683.448169/8.0),
- REAL_CONST(106707.545851/8.0),
- REAL_CONST(106731.644893/8.0),
- REAL_CONST(106755.745295/8.0),
- REAL_CONST(106779.847058/8.0),
- REAL_CONST(106803.950181/8.0),
- REAL_CONST(106828.054663/8.0),
- REAL_CONST(106852.160506/8.0),
- REAL_CONST(106876.267708/8.0),
- REAL_CONST(106900.376270/8.0),
- REAL_CONST(106924.486191/8.0),
- REAL_CONST(106948.597471/8.0),
- REAL_CONST(106972.710110/8.0),
- REAL_CONST(106996.824108/8.0),
- REAL_CONST(107020.939465/8.0),
- REAL_CONST(107045.056181/8.0),
- REAL_CONST(107069.174255/8.0),
- REAL_CONST(107093.293687/8.0),
- REAL_CONST(107117.414477/8.0),
- REAL_CONST(107141.536625/8.0),
- REAL_CONST(107165.660131/8.0),
- REAL_CONST(107189.784995/8.0),
- REAL_CONST(107213.911216/8.0),
- REAL_CONST(107238.038794/8.0),
- REAL_CONST(107262.167730/8.0),
- REAL_CONST(107286.298023/8.0),
- REAL_CONST(107310.429672/8.0),
- REAL_CONST(107334.562679/8.0),
- REAL_CONST(107358.697042/8.0),
- REAL_CONST(107382.832761/8.0),
- REAL_CONST(107406.969837/8.0),
- REAL_CONST(107431.108269/8.0),
- REAL_CONST(107455.248056/8.0),
- REAL_CONST(107479.389200/8.0),
- REAL_CONST(107503.531699/8.0),
- REAL_CONST(107527.675554/8.0),
- REAL_CONST(107551.820764/8.0),
- REAL_CONST(107575.967330/8.0),
- REAL_CONST(107600.115250/8.0),
- REAL_CONST(107624.264526/8.0),
- REAL_CONST(107648.415156/8.0),
- REAL_CONST(107672.567140/8.0),
- REAL_CONST(107696.720480/8.0),
- REAL_CONST(107720.875173/8.0),
- REAL_CONST(107745.031221/8.0),
- REAL_CONST(107769.188622/8.0),
- REAL_CONST(107793.347378/8.0),
- REAL_CONST(107817.507487/8.0),
- REAL_CONST(107841.668950/8.0),
- REAL_CONST(107865.831766/8.0),
- REAL_CONST(107889.995935/8.0),
- REAL_CONST(107914.161458/8.0),
- REAL_CONST(107938.328333/8.0),
- REAL_CONST(107962.496561/8.0),
- REAL_CONST(107986.666142/8.0),
- REAL_CONST(108010.837076/8.0),
- REAL_CONST(108035.009361/8.0),
- REAL_CONST(108059.182999/8.0),
- REAL_CONST(108083.357989/8.0),
- REAL_CONST(108107.534331/8.0),
- REAL_CONST(108131.712024/8.0),
- REAL_CONST(108155.891069/8.0),
- REAL_CONST(108180.071466/8.0),
- REAL_CONST(108204.253213/8.0),
- REAL_CONST(108228.436312/8.0),
- REAL_CONST(108252.620762/8.0),
- REAL_CONST(108276.806563/8.0),
- REAL_CONST(108300.993714/8.0),
- REAL_CONST(108325.182216/8.0),
- REAL_CONST(108349.372068/8.0),
- REAL_CONST(108373.563271/8.0),
- REAL_CONST(108397.755823/8.0),
- REAL_CONST(108421.949726/8.0),
- REAL_CONST(108446.144978/8.0),
- REAL_CONST(108470.341580/8.0),
- REAL_CONST(108494.539531/8.0),
- REAL_CONST(108518.738831/8.0),
- REAL_CONST(108542.939481/8.0),
- REAL_CONST(108567.141480/8.0),
- REAL_CONST(108591.344828/8.0),
- REAL_CONST(108615.549524/8.0),
- REAL_CONST(108639.755569/8.0),
- REAL_CONST(108663.962962/8.0),
- REAL_CONST(108688.171704/8.0),
- REAL_CONST(108712.381794/8.0),
- REAL_CONST(108736.593231/8.0),
- REAL_CONST(108760.806017/8.0),
- REAL_CONST(108785.020150/8.0),
- REAL_CONST(108809.235631/8.0),
- REAL_CONST(108833.452459/8.0),
- REAL_CONST(108857.670634/8.0),
- REAL_CONST(108881.890156/8.0),
- REAL_CONST(108906.111025/8.0),
- REAL_CONST(108930.333241/8.0),
- REAL_CONST(108954.556804/8.0),
- REAL_CONST(108978.781713/8.0),
- REAL_CONST(109003.007968/8.0),
- REAL_CONST(109027.235570/8.0),
- REAL_CONST(109051.464517/8.0),
- REAL_CONST(109075.694811/8.0),
- REAL_CONST(109099.926450/8.0),
- REAL_CONST(109124.159435/8.0),
- REAL_CONST(109148.393765/8.0),
- REAL_CONST(109172.629440/8.0),
- REAL_CONST(109196.866461/8.0),
- REAL_CONST(109221.104826/8.0),
- REAL_CONST(109245.344537/8.0),
- REAL_CONST(109269.585591/8.0),
- REAL_CONST(109293.827991/8.0),
- REAL_CONST(109318.071735/8.0),
- REAL_CONST(109342.316823/8.0),
- REAL_CONST(109366.563255/8.0),
- REAL_CONST(109390.811031/8.0),
- REAL_CONST(109415.060151/8.0),
- REAL_CONST(109439.310615/8.0),
- REAL_CONST(109463.562421/8.0),
- REAL_CONST(109487.815572/8.0),
- REAL_CONST(109512.070065/8.0),
- REAL_CONST(109536.325902/8.0),
- REAL_CONST(109560.583081/8.0),
- REAL_CONST(109584.841603/8.0),
- REAL_CONST(109609.101468/8.0),
- REAL_CONST(109633.362675/8.0),
- REAL_CONST(109657.625225/8.0),
- REAL_CONST(109681.889116/8.0),
- REAL_CONST(109706.154350/8.0),
- REAL_CONST(109730.420925/8.0),
- REAL_CONST(109754.688842/8.0),
- REAL_CONST(109778.958101/8.0),
- REAL_CONST(109803.228701/8.0),
- REAL_CONST(109827.500642/8.0),
- REAL_CONST(109851.773925/8.0),
- REAL_CONST(109876.048548/8.0),
- REAL_CONST(109900.324512/8.0),
- REAL_CONST(109924.601817/8.0),
- REAL_CONST(109948.880462/8.0),
- REAL_CONST(109973.160448/8.0),
- REAL_CONST(109997.441774/8.0),
- REAL_CONST(110021.724440/8.0),
- REAL_CONST(110046.008446/8.0),
- REAL_CONST(110070.293792/8.0),
- REAL_CONST(110094.580477/8.0),
- REAL_CONST(110118.868502/8.0),
- REAL_CONST(110143.157866/8.0),
- REAL_CONST(110167.448569/8.0),
- REAL_CONST(110191.740611/8.0),
- REAL_CONST(110216.033993/8.0),
- REAL_CONST(110240.328713/8.0),
- REAL_CONST(110264.624771/8.0),
- REAL_CONST(110288.922168/8.0),
- REAL_CONST(110313.220903/8.0),
- REAL_CONST(110337.520977/8.0),
- REAL_CONST(110361.822388/8.0),
- REAL_CONST(110386.125137/8.0),
- REAL_CONST(110410.429224/8.0),
- REAL_CONST(110434.734649/8.0),
- REAL_CONST(110459.041411/8.0),
- REAL_CONST(110483.349510/8.0),
- REAL_CONST(110507.658946/8.0),
- REAL_CONST(110531.969719/8.0),
- REAL_CONST(110556.281830/8.0),
- REAL_CONST(110580.595276/8.0),
- REAL_CONST(110604.910060/8.0),
- REAL_CONST(110629.226179/8.0),
- REAL_CONST(110653.543635/8.0),
- REAL_CONST(110677.862427/8.0),
- REAL_CONST(110702.182555/8.0),
- REAL_CONST(110726.504019/8.0),
- REAL_CONST(110750.826818/8.0),
- REAL_CONST(110775.150953/8.0),
- REAL_CONST(110799.476423/8.0),
- REAL_CONST(110823.803229/8.0),
- REAL_CONST(110848.131369/8.0),
- REAL_CONST(110872.460845/8.0),
- REAL_CONST(110896.791655/8.0),
- REAL_CONST(110921.123800/8.0),
- REAL_CONST(110945.457279/8.0),
- REAL_CONST(110969.792093/8.0),
- REAL_CONST(110994.128240/8.0),
- REAL_CONST(111018.465722/8.0),
- REAL_CONST(111042.804538/8.0),
- REAL_CONST(111067.144687/8.0),
- REAL_CONST(111091.486170/8.0),
- REAL_CONST(111115.828987/8.0),
- REAL_CONST(111140.173137/8.0),
- REAL_CONST(111164.518620/8.0),
- REAL_CONST(111188.865436/8.0),
- REAL_CONST(111213.213585/8.0),
- REAL_CONST(111237.563066/8.0),
- REAL_CONST(111261.913880/8.0),
- REAL_CONST(111286.266027/8.0),
- REAL_CONST(111310.619506/8.0),
- REAL_CONST(111334.974317/8.0),
- REAL_CONST(111359.330460/8.0),
- REAL_CONST(111383.687935/8.0),
- REAL_CONST(111408.046741/8.0),
- REAL_CONST(111432.406879/8.0),
- REAL_CONST(111456.768349/8.0),
- REAL_CONST(111481.131149/8.0),
- REAL_CONST(111505.495281/8.0),
- REAL_CONST(111529.860744/8.0),
- REAL_CONST(111554.227538/8.0),
- REAL_CONST(111578.595662/8.0),
- REAL_CONST(111602.965117/8.0),
- REAL_CONST(111627.335902/8.0),
- REAL_CONST(111651.708018/8.0),
- REAL_CONST(111676.081464/8.0),
- REAL_CONST(111700.456239/8.0),
- REAL_CONST(111724.832345/8.0),
- REAL_CONST(111749.209780/8.0),
- REAL_CONST(111773.588544/8.0),
- REAL_CONST(111797.968638/8.0),
- REAL_CONST(111822.350062/8.0),
- REAL_CONST(111846.732814/8.0),
- REAL_CONST(111871.116895/8.0),
- REAL_CONST(111895.502305/8.0),
- REAL_CONST(111919.889044/8.0),
- REAL_CONST(111944.277111/8.0),
- REAL_CONST(111968.666507/8.0),
- REAL_CONST(111993.057230/8.0),
- REAL_CONST(112017.449282/8.0),
- REAL_CONST(112041.842662/8.0),
- REAL_CONST(112066.237369/8.0),
- REAL_CONST(112090.633405/8.0),
- REAL_CONST(112115.030767/8.0),
- REAL_CONST(112139.429457/8.0),
- REAL_CONST(112163.829475/8.0),
- REAL_CONST(112188.230819/8.0),
- REAL_CONST(112212.633490/8.0),
- REAL_CONST(112237.037488/8.0),
- REAL_CONST(112261.442813/8.0),
- REAL_CONST(112285.849464/8.0),
- REAL_CONST(112310.257441/8.0),
- REAL_CONST(112334.666745/8.0),
- REAL_CONST(112359.077375/8.0),
- REAL_CONST(112383.489330/8.0),
- REAL_CONST(112407.902612/8.0),
- REAL_CONST(112432.317219/8.0),
- REAL_CONST(112456.733151/8.0),
- REAL_CONST(112481.150409/8.0),
- REAL_CONST(112505.568992/8.0),
- REAL_CONST(112529.988900/8.0),
- REAL_CONST(112554.410133/8.0),
- REAL_CONST(112578.832691/8.0),
- REAL_CONST(112603.256573/8.0),
- REAL_CONST(112627.681780/8.0),
- REAL_CONST(112652.108311/8.0),
- REAL_CONST(112676.536166/8.0),
- REAL_CONST(112700.965345/8.0),
- REAL_CONST(112725.395849/8.0),
- REAL_CONST(112749.827676/8.0),
- REAL_CONST(112774.260826/8.0),
- REAL_CONST(112798.695300/8.0),
- REAL_CONST(112823.131098/8.0),
- REAL_CONST(112847.568218/8.0),
- REAL_CONST(112872.006662/8.0),
- REAL_CONST(112896.446428/8.0),
- REAL_CONST(112920.887517/8.0),
- REAL_CONST(112945.329929/8.0),
- REAL_CONST(112969.773663/8.0),
- REAL_CONST(112994.218720/8.0),
- REAL_CONST(113018.665099/8.0),
- REAL_CONST(113043.112800/8.0),
- REAL_CONST(113067.561822/8.0),
- REAL_CONST(113092.012167/8.0),
- REAL_CONST(113116.463833/8.0),
- REAL_CONST(113140.916820/8.0),
- REAL_CONST(113165.371129/8.0),
- REAL_CONST(113189.826759/8.0),
- REAL_CONST(113214.283710/8.0),
- REAL_CONST(113238.741982/8.0),
- REAL_CONST(113263.201575/8.0),
- REAL_CONST(113287.662488/8.0),
- REAL_CONST(113312.124722/8.0),
- REAL_CONST(113336.588276/8.0),
- REAL_CONST(113361.053150/8.0),
- REAL_CONST(113385.519345/8.0),
- REAL_CONST(113409.986859/8.0),
- REAL_CONST(113434.455693/8.0),
- REAL_CONST(113458.925846/8.0),
- REAL_CONST(113483.397319/8.0),
- REAL_CONST(113507.870112/8.0),
- REAL_CONST(113532.344223/8.0),
- REAL_CONST(113556.819654/8.0),
- REAL_CONST(113581.296403/8.0),
- REAL_CONST(113605.774471/8.0),
- REAL_CONST(113630.253858/8.0),
- REAL_CONST(113654.734563/8.0),
- REAL_CONST(113679.216587/8.0),
- REAL_CONST(113703.699929/8.0),
- REAL_CONST(113728.184589/8.0),
- REAL_CONST(113752.670566/8.0),
- REAL_CONST(113777.157862/8.0),
- REAL_CONST(113801.646475/8.0),
- REAL_CONST(113826.136406/8.0),
- REAL_CONST(113850.627654/8.0),
- REAL_CONST(113875.120219/8.0),
- REAL_CONST(113899.614101/8.0),
- REAL_CONST(113924.109300/8.0),
- REAL_CONST(113948.605816/8.0),
- REAL_CONST(113973.103648/8.0),
- REAL_CONST(113997.602797/8.0),
- REAL_CONST(114022.103263/8.0),
- REAL_CONST(114046.605044/8.0),
- REAL_CONST(114071.108142/8.0),
- REAL_CONST(114095.612555/8.0),
- REAL_CONST(114120.118285/8.0),
- REAL_CONST(114144.625330/8.0),
- REAL_CONST(114169.133690/8.0),
- REAL_CONST(114193.643366/8.0),
- REAL_CONST(114218.154357/8.0),
- REAL_CONST(114242.666663/8.0),
- REAL_CONST(114267.180284/8.0),
- REAL_CONST(114291.695220/8.0),
- REAL_CONST(114316.211470/8.0),
- REAL_CONST(114340.729035/8.0),
- REAL_CONST(114365.247914/8.0),
- REAL_CONST(114389.768108/8.0),
- REAL_CONST(114414.289615/8.0),
- REAL_CONST(114438.812437/8.0),
- REAL_CONST(114463.336572/8.0),
- REAL_CONST(114487.862021/8.0),
- REAL_CONST(114512.388784/8.0),
- REAL_CONST(114536.916860/8.0),
- REAL_CONST(114561.446249/8.0),
- REAL_CONST(114585.976951/8.0),
- REAL_CONST(114610.508967/8.0),
- REAL_CONST(114635.042295/8.0),
- REAL_CONST(114659.576936/8.0),
- REAL_CONST(114684.112889/8.0),
- REAL_CONST(114708.650155/8.0),
- REAL_CONST(114733.188733/8.0),
- REAL_CONST(114757.728623/8.0),
- REAL_CONST(114782.269825/8.0),
- REAL_CONST(114806.812339/8.0),
- REAL_CONST(114831.356164/8.0),
- REAL_CONST(114855.901301/8.0),
- REAL_CONST(114880.447750/8.0),
- REAL_CONST(114904.995510/8.0),
- REAL_CONST(114929.544581/8.0),
- REAL_CONST(114954.094963/8.0),
- REAL_CONST(114978.646655/8.0),
- REAL_CONST(115003.199659/8.0),
- REAL_CONST(115027.753973/8.0),
- REAL_CONST(115052.309598/8.0),
- REAL_CONST(115076.866532/8.0),
- REAL_CONST(115101.424777/8.0),
- REAL_CONST(115125.984333/8.0),
- REAL_CONST(115150.545197/8.0),
- REAL_CONST(115175.107372/8.0),
- REAL_CONST(115199.670856/8.0),
- REAL_CONST(115224.235650/8.0),
- REAL_CONST(115248.801753/8.0),
- REAL_CONST(115273.369165/8.0),
- REAL_CONST(115297.937886/8.0),
- REAL_CONST(115322.507917/8.0),
- REAL_CONST(115347.079256/8.0),
- REAL_CONST(115371.651903/8.0),
- REAL_CONST(115396.225859/8.0),
- REAL_CONST(115420.801123/8.0),
- REAL_CONST(115445.377696/8.0),
- REAL_CONST(115469.955577/8.0),
- REAL_CONST(115494.534765/8.0),
- REAL_CONST(115519.115261/8.0),
- REAL_CONST(115543.697065/8.0),
- REAL_CONST(115568.280177/8.0),
- REAL_CONST(115592.864596/8.0),
- REAL_CONST(115617.450322/8.0),
- REAL_CONST(115642.037355/8.0),
- REAL_CONST(115666.625695/8.0),
- REAL_CONST(115691.215342/8.0),
- REAL_CONST(115715.806296/8.0),
- REAL_CONST(115740.398556/8.0),
- REAL_CONST(115764.992122/8.0),
- REAL_CONST(115789.586995/8.0),
- REAL_CONST(115814.183174/8.0),
- REAL_CONST(115838.780659/8.0),
- REAL_CONST(115863.379450/8.0),
- REAL_CONST(115887.979546/8.0),
- REAL_CONST(115912.580948/8.0),
- REAL_CONST(115937.183656/8.0),
- REAL_CONST(115961.787668/8.0),
- REAL_CONST(115986.392986/8.0),
- REAL_CONST(116010.999609/8.0),
- REAL_CONST(116035.607537/8.0),
- REAL_CONST(116060.216769/8.0),
- REAL_CONST(116084.827307/8.0),
- REAL_CONST(116109.439148/8.0),
- REAL_CONST(116134.052294/8.0),
- REAL_CONST(116158.666744/8.0),
- REAL_CONST(116183.282498/8.0),
- REAL_CONST(116207.899556/8.0),
- REAL_CONST(116232.517918/8.0),
- REAL_CONST(116257.137583/8.0),
- REAL_CONST(116281.758552/8.0),
- REAL_CONST(116306.380824/8.0),
- REAL_CONST(116331.004400/8.0),
- REAL_CONST(116355.629278/8.0),
- REAL_CONST(116380.255460/8.0),
- REAL_CONST(116404.882944/8.0),
- REAL_CONST(116429.511731/8.0),
- REAL_CONST(116454.141820/8.0),
- REAL_CONST(116478.773212/8.0),
- REAL_CONST(116503.405906/8.0),
- REAL_CONST(116528.039902/8.0),
- REAL_CONST(116552.675201/8.0),
- REAL_CONST(116577.311801/8.0),
- REAL_CONST(116601.949702/8.0),
- REAL_CONST(116626.588905/8.0),
- REAL_CONST(116651.229410/8.0),
- REAL_CONST(116675.871216/8.0),
- REAL_CONST(116700.514323/8.0),
- REAL_CONST(116725.158731/8.0),
- REAL_CONST(116749.804440/8.0),
- REAL_CONST(116774.451450/8.0),
- REAL_CONST(116799.099760/8.0),
- REAL_CONST(116823.749371/8.0),
- REAL_CONST(116848.400282/8.0),
- REAL_CONST(116873.052494/8.0),
- REAL_CONST(116897.706005/8.0),
- REAL_CONST(116922.360816/8.0),
- REAL_CONST(116947.016927/8.0),
- REAL_CONST(116971.674338/8.0),
- REAL_CONST(116996.333048/8.0),
- REAL_CONST(117020.993058/8.0),
- REAL_CONST(117045.654367/8.0),
- REAL_CONST(117070.316974/8.0),
- REAL_CONST(117094.980881/8.0),
- REAL_CONST(117119.646087/8.0),
- REAL_CONST(117144.312591/8.0),
- REAL_CONST(117168.980394/8.0),
- REAL_CONST(117193.649495/8.0),
- REAL_CONST(117218.319895/8.0),
- REAL_CONST(117242.991593/8.0),
- REAL_CONST(117267.664588/8.0),
- REAL_CONST(117292.338882/8.0),
- REAL_CONST(117317.014473/8.0),
- REAL_CONST(117341.691362/8.0),
- REAL_CONST(117366.369548/8.0),
- REAL_CONST(117391.049032/8.0),
- REAL_CONST(117415.729813/8.0),
- REAL_CONST(117440.411891/8.0),
- REAL_CONST(117465.095266/8.0),
- REAL_CONST(117489.779937/8.0),
- REAL_CONST(117514.465905/8.0),
- REAL_CONST(117539.153170/8.0),
- REAL_CONST(117563.841731/8.0),
- REAL_CONST(117588.531588/8.0),
- REAL_CONST(117613.222741/8.0),
- REAL_CONST(117637.915191/8.0),
- REAL_CONST(117662.608936/8.0),
- REAL_CONST(117687.303977/8.0),
- REAL_CONST(117712.000313/8.0),
- REAL_CONST(117736.697945/8.0),
- REAL_CONST(117761.396872/8.0),
- REAL_CONST(117786.097094/8.0),
- REAL_CONST(117810.798611/8.0),
- REAL_CONST(117835.501423/8.0),
- REAL_CONST(117860.205530/8.0),
- REAL_CONST(117884.910931/8.0),
- REAL_CONST(117909.617627/8.0),
- REAL_CONST(117934.325617/8.0),
- REAL_CONST(117959.034902/8.0),
- REAL_CONST(117983.745480/8.0),
- REAL_CONST(118008.457352/8.0),
- REAL_CONST(118033.170518/8.0),
- REAL_CONST(118057.884978/8.0),
- REAL_CONST(118082.600731/8.0),
- REAL_CONST(118107.317778/8.0),
- REAL_CONST(118132.036118/8.0),
- REAL_CONST(118156.755751/8.0),
- REAL_CONST(118181.476677/8.0),
- REAL_CONST(118206.198895/8.0),
- REAL_CONST(118230.922407/8.0),
- REAL_CONST(118255.647211/8.0),
- REAL_CONST(118280.373307/8.0),
- REAL_CONST(118305.100696/8.0),
- REAL_CONST(118329.829377/8.0),
- REAL_CONST(118354.559350/8.0),
- REAL_CONST(118379.290615/8.0),
- REAL_CONST(118404.023171/8.0),
- REAL_CONST(118428.757019/8.0),
- REAL_CONST(118453.492159/8.0),
- REAL_CONST(118478.228590/8.0),
- REAL_CONST(118502.966312/8.0),
- REAL_CONST(118527.705326/8.0),
- REAL_CONST(118552.445630/8.0),
- REAL_CONST(118577.187225/8.0),
- REAL_CONST(118601.930111/8.0),
- REAL_CONST(118626.674287/8.0),
- REAL_CONST(118651.419754/8.0),
- REAL_CONST(118676.166511/8.0),
- REAL_CONST(118700.914558/8.0),
- REAL_CONST(118725.663895/8.0),
- REAL_CONST(118750.414522/8.0),
- REAL_CONST(118775.166438/8.0),
- REAL_CONST(118799.919645/8.0),
- REAL_CONST(118824.674140/8.0),
- REAL_CONST(118849.429926/8.0),
- REAL_CONST(118874.187000/8.0),
- REAL_CONST(118898.945363/8.0),
- REAL_CONST(118923.705015/8.0),
- REAL_CONST(118948.465957/8.0),
- REAL_CONST(118973.228186/8.0),
- REAL_CONST(118997.991705/8.0),
- REAL_CONST(119022.756511/8.0),
- REAL_CONST(119047.522606/8.0),
- REAL_CONST(119072.289989/8.0),
- REAL_CONST(119097.058660/8.0),
- REAL_CONST(119121.828619/8.0),
- REAL_CONST(119146.599866/8.0),
- REAL_CONST(119171.372400/8.0),
- REAL_CONST(119196.146221/8.0),
- REAL_CONST(119220.921330/8.0),
- REAL_CONST(119245.697726/8.0),
- REAL_CONST(119270.475410/8.0),
- REAL_CONST(119295.254380/8.0),
- REAL_CONST(119320.034637/8.0),
- REAL_CONST(119344.816180/8.0),
- REAL_CONST(119369.599010/8.0),
- REAL_CONST(119394.383127/8.0),
- REAL_CONST(119419.168529/8.0),
- REAL_CONST(119443.955218/8.0),
- REAL_CONST(119468.743193/8.0),
- REAL_CONST(119493.532454/8.0),
- REAL_CONST(119518.323000/8.0),
- REAL_CONST(119543.114832/8.0),
- REAL_CONST(119567.907949/8.0),
- REAL_CONST(119592.702352/8.0),
- REAL_CONST(119617.498040/8.0),
- REAL_CONST(119642.295013/8.0),
- REAL_CONST(119667.093271/8.0),
- REAL_CONST(119691.892813/8.0),
- REAL_CONST(119716.693641/8.0),
- REAL_CONST(119741.495752/8.0),
- REAL_CONST(119766.299149/8.0),
- REAL_CONST(119791.103829/8.0),
- REAL_CONST(119815.909794/8.0),
- REAL_CONST(119840.717042/8.0),
- REAL_CONST(119865.525575/8.0),
- REAL_CONST(119890.335391/8.0),
- REAL_CONST(119915.146490/8.0),
- REAL_CONST(119939.958874/8.0),
- REAL_CONST(119964.772540/8.0),
- REAL_CONST(119989.587490/8.0),
- REAL_CONST(120014.403723/8.0),
- REAL_CONST(120039.221238/8.0),
- REAL_CONST(120064.040037/8.0),
- REAL_CONST(120088.860118/8.0),
- REAL_CONST(120113.681481/8.0),
- REAL_CONST(120138.504127/8.0),
- REAL_CONST(120163.328056/8.0),
- REAL_CONST(120188.153266/8.0),
- REAL_CONST(120212.979759/8.0),
- REAL_CONST(120237.807533/8.0),
- REAL_CONST(120262.636589/8.0),
- REAL_CONST(120287.466926/8.0),
- REAL_CONST(120312.298545/8.0),
- REAL_CONST(120337.131446/8.0),
- REAL_CONST(120361.965627/8.0),
- REAL_CONST(120386.801090/8.0),
- REAL_CONST(120411.637834/8.0),
- REAL_CONST(120436.475858/8.0),
- REAL_CONST(120461.315163/8.0),
- REAL_CONST(120486.155749/8.0),
- REAL_CONST(120510.997615/8.0),
- REAL_CONST(120535.840761/8.0),
- REAL_CONST(120560.685188/8.0),
- REAL_CONST(120585.530894/8.0),
- REAL_CONST(120610.377881/8.0),
- REAL_CONST(120635.226147/8.0),
- REAL_CONST(120660.075692/8.0),
- REAL_CONST(120684.926518/8.0),
- REAL_CONST(120709.778622/8.0),
- REAL_CONST(120734.632006/8.0),
- REAL_CONST(120759.486669/8.0),
- REAL_CONST(120784.342611/8.0),
- REAL_CONST(120809.199831/8.0),
- REAL_CONST(120834.058331/8.0),
- REAL_CONST(120858.918109/8.0),
- REAL_CONST(120883.779165/8.0),
- REAL_CONST(120908.641500/8.0),
- REAL_CONST(120933.505113/8.0),
- REAL_CONST(120958.370004/8.0),
- REAL_CONST(120983.236172/8.0),
- REAL_CONST(121008.103619/8.0),
- REAL_CONST(121032.972343/8.0),
- REAL_CONST(121057.842345/8.0),
- REAL_CONST(121082.713624/8.0),
- REAL_CONST(121107.586180/8.0),
- REAL_CONST(121132.460014/8.0),
- REAL_CONST(121157.335124/8.0),
- REAL_CONST(121182.211512/8.0),
- REAL_CONST(121207.089176/8.0),
- REAL_CONST(121231.968116/8.0),
- REAL_CONST(121256.848333/8.0),
- REAL_CONST(121281.729827/8.0),
- REAL_CONST(121306.612597/8.0),
- REAL_CONST(121331.496642/8.0),
- REAL_CONST(121356.381964/8.0),
- REAL_CONST(121381.268561/8.0),
- REAL_CONST(121406.156435/8.0),
- REAL_CONST(121431.045583/8.0),
- REAL_CONST(121455.936007/8.0),
- REAL_CONST(121480.827707/8.0),
- REAL_CONST(121505.720681/8.0),
- REAL_CONST(121530.614931/8.0),
- REAL_CONST(121555.510455/8.0),
- REAL_CONST(121580.407255/8.0),
- REAL_CONST(121605.305329/8.0),
- REAL_CONST(121630.204677/8.0),
- REAL_CONST(121655.105300/8.0),
- REAL_CONST(121680.007197/8.0),
- REAL_CONST(121704.910368/8.0),
- REAL_CONST(121729.814813/8.0),
- REAL_CONST(121754.720532/8.0),
- REAL_CONST(121779.627525/8.0),
- REAL_CONST(121804.535791/8.0),
- REAL_CONST(121829.445331/8.0),
- REAL_CONST(121854.356144/8.0),
- REAL_CONST(121879.268230/8.0),
- REAL_CONST(121904.181589/8.0),
- REAL_CONST(121929.096222/8.0),
- REAL_CONST(121954.012127/8.0),
- REAL_CONST(121978.929304/8.0),
- REAL_CONST(122003.847755/8.0),
- REAL_CONST(122028.767478/8.0),
- REAL_CONST(122053.688473/8.0),
- REAL_CONST(122078.610740/8.0),
- REAL_CONST(122103.534279/8.0),
- REAL_CONST(122128.459090/8.0),
- REAL_CONST(122153.385173/8.0),
- REAL_CONST(122178.312528/8.0),
- REAL_CONST(122203.241154/8.0),
- REAL_CONST(122228.171051/8.0),
- REAL_CONST(122253.102220/8.0),
- REAL_CONST(122278.034660/8.0),
- REAL_CONST(122302.968370/8.0),
- REAL_CONST(122327.903352/8.0),
- REAL_CONST(122352.839604/8.0),
- REAL_CONST(122377.777127/8.0),
- REAL_CONST(122402.715921/8.0),
- REAL_CONST(122427.655985/8.0),
- REAL_CONST(122452.597319/8.0),
- REAL_CONST(122477.539923/8.0),
- REAL_CONST(122502.483797/8.0),
- REAL_CONST(122527.428941/8.0),
- REAL_CONST(122552.375354/8.0),
- REAL_CONST(122577.323038/8.0),
- REAL_CONST(122602.271990/8.0),
- REAL_CONST(122627.222212/8.0),
- REAL_CONST(122652.173703/8.0),
- REAL_CONST(122677.126463/8.0),
- REAL_CONST(122702.080493/8.0),
- REAL_CONST(122727.035790/8.0),
- REAL_CONST(122751.992357/8.0),
- REAL_CONST(122776.950192/8.0),
- REAL_CONST(122801.909296/8.0),
- REAL_CONST(122826.869667/8.0),
- REAL_CONST(122851.831307/8.0),
- REAL_CONST(122876.794215/8.0),
- REAL_CONST(122901.758391/8.0),
- REAL_CONST(122926.723835/8.0),
- REAL_CONST(122951.690546/8.0),
- REAL_CONST(122976.658525/8.0),
- REAL_CONST(123001.627771/8.0),
- REAL_CONST(123026.598284/8.0),
- REAL_CONST(123051.570065/8.0),
- REAL_CONST(123076.543112/8.0),
- REAL_CONST(123101.517427/8.0),
- REAL_CONST(123126.493008/8.0),
- REAL_CONST(123151.469855/8.0),
- REAL_CONST(123176.447970/8.0),
- REAL_CONST(123201.427350/8.0),
- REAL_CONST(123226.407997/8.0),
- REAL_CONST(123251.389910/8.0),
- REAL_CONST(123276.373088/8.0),
- REAL_CONST(123301.357533/8.0),
- REAL_CONST(123326.343243/8.0),
- REAL_CONST(123351.330219/8.0),
- REAL_CONST(123376.318461/8.0),
- REAL_CONST(123401.307967/8.0),
- REAL_CONST(123426.298739/8.0),
- REAL_CONST(123451.290776/8.0),
- REAL_CONST(123476.284078/8.0),
- REAL_CONST(123501.278645/8.0),
- REAL_CONST(123526.274476/8.0),
- REAL_CONST(123551.271572/8.0),
- REAL_CONST(123576.269933/8.0),
- REAL_CONST(123601.269557/8.0),
- REAL_CONST(123626.270446/8.0),
- REAL_CONST(123651.272599/8.0),
- REAL_CONST(123676.276016/8.0),
- REAL_CONST(123701.280696/8.0),
- REAL_CONST(123726.286641/8.0),
- REAL_CONST(123751.293849/8.0),
- REAL_CONST(123776.302320/8.0),
- REAL_CONST(123801.312054/8.0),
- REAL_CONST(123826.323052/8.0),
- REAL_CONST(123851.335312/8.0),
- REAL_CONST(123876.348836/8.0),
- REAL_CONST(123901.363622/8.0),
- REAL_CONST(123926.379671/8.0),
- REAL_CONST(123951.396983/8.0),
- REAL_CONST(123976.415557/8.0),
- REAL_CONST(124001.435393/8.0),
- REAL_CONST(124026.456491/8.0),
- REAL_CONST(124051.478851/8.0),
- REAL_CONST(124076.502473/8.0),
- REAL_CONST(124101.527357/8.0),
- REAL_CONST(124126.553503/8.0),
- REAL_CONST(124151.580910/8.0),
- REAL_CONST(124176.609578/8.0),
- REAL_CONST(124201.639508/8.0),
- REAL_CONST(124226.670698/8.0),
- REAL_CONST(124251.703150/8.0),
- REAL_CONST(124276.736862/8.0),
- REAL_CONST(124301.771836/8.0),
- REAL_CONST(124326.808070/8.0),
- REAL_CONST(124351.845564/8.0),
- REAL_CONST(124376.884319/8.0),
- REAL_CONST(124401.924334/8.0),
- REAL_CONST(124426.965609/8.0),
- REAL_CONST(124452.008144/8.0),
- REAL_CONST(124477.051938/8.0),
- REAL_CONST(124502.096993/8.0),
- REAL_CONST(124527.143307/8.0),
- REAL_CONST(124552.190881/8.0),
- REAL_CONST(124577.239714/8.0),
- REAL_CONST(124602.289806/8.0),
- REAL_CONST(124627.341157/8.0),
- REAL_CONST(124652.393767/8.0),
- REAL_CONST(124677.447636/8.0),
- REAL_CONST(124702.502764/8.0),
- REAL_CONST(124727.559150/8.0),
- REAL_CONST(124752.616795/8.0),
- REAL_CONST(124777.675698/8.0),
- REAL_CONST(124802.735859/8.0),
- REAL_CONST(124827.797279/8.0),
- REAL_CONST(124852.859956/8.0),
- REAL_CONST(124877.923891/8.0),
- REAL_CONST(124902.989084/8.0),
- REAL_CONST(124928.055534/8.0),
- REAL_CONST(124953.123242/8.0),
- REAL_CONST(124978.192207/8.0),
- REAL_CONST(125003.262430/8.0),
- REAL_CONST(125028.333909/8.0),
- REAL_CONST(125053.406645/8.0),
- REAL_CONST(125078.480638/8.0),
- REAL_CONST(125103.555888/8.0),
- REAL_CONST(125128.632395/8.0),
- REAL_CONST(125153.710157/8.0),
- REAL_CONST(125178.789176/8.0),
- REAL_CONST(125203.869452/8.0),
- REAL_CONST(125228.950983/8.0),
- REAL_CONST(125254.033770/8.0),
- REAL_CONST(125279.117813/8.0),
- REAL_CONST(125304.203112/8.0),
- REAL_CONST(125329.289666/8.0),
- REAL_CONST(125354.377476/8.0),
- REAL_CONST(125379.466541/8.0),
- REAL_CONST(125404.556861/8.0),
- REAL_CONST(125429.648437/8.0),
- REAL_CONST(125454.741267/8.0),
- REAL_CONST(125479.835352/8.0),
- REAL_CONST(125504.930692/8.0),
- REAL_CONST(125530.027286/8.0),
- REAL_CONST(125555.125134/8.0),
- REAL_CONST(125580.224237/8.0),
- REAL_CONST(125605.324594/8.0),
- REAL_CONST(125630.426205/8.0),
- REAL_CONST(125655.529071/8.0),
- REAL_CONST(125680.633189/8.0),
- REAL_CONST(125705.738562/8.0),
- REAL_CONST(125730.845188/8.0),
- REAL_CONST(125755.953067/8.0),
- REAL_CONST(125781.062200/8.0),
- REAL_CONST(125806.172586/8.0),
- REAL_CONST(125831.284225/8.0),
- REAL_CONST(125856.397117/8.0),
- REAL_CONST(125881.511262/8.0),
- REAL_CONST(125906.626659/8.0),
- REAL_CONST(125931.743309/8.0),
- REAL_CONST(125956.861211/8.0),
- REAL_CONST(125981.980366/8.0),
- REAL_CONST(126007.100773/8.0),
- REAL_CONST(126032.222432/8.0),
- REAL_CONST(126057.345343/8.0),
- REAL_CONST(126082.469505/8.0),
- REAL_CONST(126107.594919/8.0),
- REAL_CONST(126132.721585/8.0),
- REAL_CONST(126157.849502/8.0),
- REAL_CONST(126182.978671/8.0),
- REAL_CONST(126208.109090/8.0),
- REAL_CONST(126233.240761/8.0),
- REAL_CONST(126258.373683/8.0),
- REAL_CONST(126283.507855/8.0),
- REAL_CONST(126308.643278/8.0),
- REAL_CONST(126333.779952/8.0),
- REAL_CONST(126358.917876/8.0),
- REAL_CONST(126384.057051/8.0),
- REAL_CONST(126409.197475/8.0),
- REAL_CONST(126434.339150/8.0),
- REAL_CONST(126459.482074/8.0),
- REAL_CONST(126484.626249/8.0),
- REAL_CONST(126509.771673/8.0),
- REAL_CONST(126534.918346/8.0),
- REAL_CONST(126560.066269/8.0),
- REAL_CONST(126585.215442/8.0),
- REAL_CONST(126610.365863/8.0),
- REAL_CONST(126635.517534/8.0),
- REAL_CONST(126660.670453/8.0),
- REAL_CONST(126685.824622/8.0),
- REAL_CONST(126710.980039/8.0),
- REAL_CONST(126736.136704/8.0),
- REAL_CONST(126761.294618/8.0),
- REAL_CONST(126786.453780/8.0),
- REAL_CONST(126811.614191/8.0),
- REAL_CONST(126836.775849/8.0),
- REAL_CONST(126861.938756/8.0),
- REAL_CONST(126887.102910/8.0),
- REAL_CONST(126912.268312/8.0),
- REAL_CONST(126937.434962/8.0),
- REAL_CONST(126962.602859/8.0),
- REAL_CONST(126987.772003/8.0),
- REAL_CONST(127012.942395/8.0),
- REAL_CONST(127038.114034/8.0),
- REAL_CONST(127063.286919/8.0),
- REAL_CONST(127088.461052/8.0),
- REAL_CONST(127113.636431/8.0),
- REAL_CONST(127138.813057/8.0),
- REAL_CONST(127163.990929/8.0),
- REAL_CONST(127189.170047/8.0),
- REAL_CONST(127214.350412/8.0),
- REAL_CONST(127239.532023/8.0),
- REAL_CONST(127264.714880/8.0),
- REAL_CONST(127289.898982/8.0),
- REAL_CONST(127315.084331/8.0),
- REAL_CONST(127340.270925/8.0),
- REAL_CONST(127365.458764/8.0),
- REAL_CONST(127390.647849/8.0),
- REAL_CONST(127415.838179/8.0),
- REAL_CONST(127441.029754/8.0),
- REAL_CONST(127466.222574/8.0),
- REAL_CONST(127491.416639/8.0),
- REAL_CONST(127516.611949/8.0),
- REAL_CONST(127541.808503/8.0),
- REAL_CONST(127567.006302/8.0),
- REAL_CONST(127592.205345/8.0),
- REAL_CONST(127617.405632/8.0),
- REAL_CONST(127642.607164/8.0),
- REAL_CONST(127667.809939/8.0),
- REAL_CONST(127693.013959/8.0),
- REAL_CONST(127718.219222/8.0),
- REAL_CONST(127743.425729/8.0),
- REAL_CONST(127768.633479/8.0),
- REAL_CONST(127793.842473/8.0),
- REAL_CONST(127819.052710/8.0),
- REAL_CONST(127844.264190/8.0),
- REAL_CONST(127869.476913/8.0),
- REAL_CONST(127894.690879/8.0),
- REAL_CONST(127919.906088/8.0),
- REAL_CONST(127945.122539/8.0),
- REAL_CONST(127970.340233/8.0),
- REAL_CONST(127995.559169/8.0),
- REAL_CONST(128020.779348/8.0),
- REAL_CONST(128046.000769/8.0),
- REAL_CONST(128071.223431/8.0),
- REAL_CONST(128096.447336/8.0),
- REAL_CONST(128121.672483/8.0),
- REAL_CONST(128146.898871/8.0),
- REAL_CONST(128172.126501/8.0),
- REAL_CONST(128197.355372/8.0),
- REAL_CONST(128222.585484/8.0),
- REAL_CONST(128247.816838/8.0),
- REAL_CONST(128273.049433/8.0),
- REAL_CONST(128298.283268/8.0),
- REAL_CONST(128323.518345/8.0),
- REAL_CONST(128348.754662/8.0),
- REAL_CONST(128373.992220/8.0),
- REAL_CONST(128399.231018/8.0),
- REAL_CONST(128424.471056/8.0),
- REAL_CONST(128449.712335/8.0),
- REAL_CONST(128474.954854/8.0),
- REAL_CONST(128500.198612/8.0),
- REAL_CONST(128525.443611/8.0),
- REAL_CONST(128550.689849/8.0),
- REAL_CONST(128575.937327/8.0),
- REAL_CONST(128601.186045/8.0),
- REAL_CONST(128626.436001/8.0),
- REAL_CONST(128651.687197/8.0),
- REAL_CONST(128676.939632/8.0),
- REAL_CONST(128702.193306/8.0),
- REAL_CONST(128727.448219/8.0),
- REAL_CONST(128752.704371/8.0),
- REAL_CONST(128777.961761/8.0),
- REAL_CONST(128803.220390/8.0),
- REAL_CONST(128828.480257/8.0),
- REAL_CONST(128853.741363/8.0),
- REAL_CONST(128879.003706/8.0),
- REAL_CONST(128904.267288/8.0),
- REAL_CONST(128929.532107/8.0),
- REAL_CONST(128954.798165/8.0),
- REAL_CONST(128980.065460/8.0),
- REAL_CONST(129005.333992/8.0),
- REAL_CONST(129030.603762/8.0),
- REAL_CONST(129055.874769/8.0),
- REAL_CONST(129081.147013/8.0),
- REAL_CONST(129106.420495/8.0),
- REAL_CONST(129131.695213/8.0),
- REAL_CONST(129156.971168/8.0),
- REAL_CONST(129182.248360/8.0),
- REAL_CONST(129207.526788/8.0),
- REAL_CONST(129232.806453/8.0),
- REAL_CONST(129258.087354/8.0),
- REAL_CONST(129283.369491/8.0),
- REAL_CONST(129308.652865/8.0),
- REAL_CONST(129333.937474/8.0),
- REAL_CONST(129359.223319/8.0),
- REAL_CONST(129384.510400/8.0),
- REAL_CONST(129409.798716/8.0),
- REAL_CONST(129435.088268/8.0),
- REAL_CONST(129460.379056/8.0),
- REAL_CONST(129485.671078/8.0),
- REAL_CONST(129510.964336/8.0),
- REAL_CONST(129536.258829/8.0),
- REAL_CONST(129561.554556/8.0),
- REAL_CONST(129586.851518/8.0),
- REAL_CONST(129612.149715/8.0),
- REAL_CONST(129637.449147/8.0),
- REAL_CONST(129662.749812/8.0),
- REAL_CONST(129688.051713/8.0),
- REAL_CONST(129713.354847/8.0),
- REAL_CONST(129738.659215/8.0),
- REAL_CONST(129763.964817/8.0),
- REAL_CONST(129789.271653/8.0),
- REAL_CONST(129814.579723/8.0),
- REAL_CONST(129839.889026/8.0),
- REAL_CONST(129865.199562/8.0),
- REAL_CONST(129890.511332/8.0),
- REAL_CONST(129915.824335/8.0),
- REAL_CONST(129941.138572/8.0),
- REAL_CONST(129966.454041/8.0),
- REAL_CONST(129991.770743/8.0),
- REAL_CONST(130017.088677/8.0),
- REAL_CONST(130042.407844/8.0),
- REAL_CONST(130067.728244/8.0),
- REAL_CONST(130093.049876/8.0),
- REAL_CONST(130118.372740/8.0),
- REAL_CONST(130143.696837/8.0),
- REAL_CONST(130169.022165/8.0),
- REAL_CONST(130194.348725/8.0),
- REAL_CONST(130219.676517/8.0),
- REAL_CONST(130245.005541/8.0),
- REAL_CONST(130270.335796/8.0),
- REAL_CONST(130295.667282/8.0),
- REAL_CONST(130321.000000/8.0),
- REAL_CONST(130346.333949/8.0),
- REAL_CONST(130371.669129/8.0),
- REAL_CONST(130397.005540/8.0),
- REAL_CONST(130422.343181/8.0),
- REAL_CONST(130447.682054/8.0),
- REAL_CONST(130473.022156/8.0),
- REAL_CONST(130498.363490/8.0),
- REAL_CONST(130523.706053/8.0),
- REAL_CONST(130549.049847/8.0),
- REAL_CONST(130574.394871/8.0),
- REAL_CONST(130599.741125/8.0),
- REAL_CONST(130625.088608/8.0),
- REAL_CONST(130650.437322/8.0),
- REAL_CONST(130675.787264/8.0),
- REAL_CONST(130701.138437/8.0),
- REAL_CONST(130726.490839/8.0),
- REAL_CONST(130751.844470/8.0),
- REAL_CONST(130777.199330/8.0),
- REAL_CONST(130802.555419/8.0),
- REAL_CONST(130827.912737/8.0),
- REAL_CONST(130853.271284/8.0),
- REAL_CONST(130878.631059/8.0),
- REAL_CONST(130903.992063/8.0),
- REAL_CONST(130929.354295/8.0),
- REAL_CONST(130954.717756/8.0),
- REAL_CONST(130980.082445/8.0),
- REAL_CONST(131005.448362/8.0),
- REAL_CONST(131030.815506/8.0),
- REAL_CONST(131056.183879/8.0),
- REAL_CONST(131081.553479/8.0),
- REAL_CONST(131106.924307/8.0),
- REAL_CONST(131132.296362/8.0),
- REAL_CONST(131157.669645/8.0),
- REAL_CONST(131183.044155/8.0),
- REAL_CONST(131208.419892/8.0),
- REAL_CONST(131233.796855/8.0),
- REAL_CONST(131259.175046/8.0),
- REAL_CONST(131284.554464/8.0),
- REAL_CONST(131309.935108/8.0),
- REAL_CONST(131335.316978/8.0),
- REAL_CONST(131360.700075/8.0),
- REAL_CONST(131386.084399/8.0),
- REAL_CONST(131411.469948/8.0),
- REAL_CONST(131436.856724/8.0),
- REAL_CONST(131462.244725/8.0),
- REAL_CONST(131487.633952/8.0),
- REAL_CONST(131513.024405/8.0),
- REAL_CONST(131538.416083/8.0),
- REAL_CONST(131563.808987/8.0),
- REAL_CONST(131589.203116/8.0),
- REAL_CONST(131614.598471/8.0),
- REAL_CONST(131639.995050/8.0),
- REAL_CONST(131665.392854/8.0),
- REAL_CONST(131690.791884/8.0),
- REAL_CONST(131716.192138/8.0),
- REAL_CONST(131741.593616/8.0),
- REAL_CONST(131766.996319/8.0),
- REAL_CONST(131792.400247/8.0),
- REAL_CONST(131817.805398/8.0),
- REAL_CONST(131843.211774/8.0),
- REAL_CONST(131868.619374/8.0),
- REAL_CONST(131894.028198/8.0),
- REAL_CONST(131919.438245/8.0),
- REAL_CONST(131944.849517/8.0),
- REAL_CONST(131970.262011/8.0),
- REAL_CONST(131995.675730/8.0),
- REAL_CONST(132021.090671/8.0),
- REAL_CONST(132046.506836/8.0),
- REAL_CONST(132071.924224/8.0),
- REAL_CONST(132097.342834/8.0),
- REAL_CONST(132122.762668/8.0),
- REAL_CONST(132148.183724/8.0),
- REAL_CONST(132173.606003/8.0),
- REAL_CONST(132199.029504/8.0),
- REAL_CONST(132224.454228/8.0),
- REAL_CONST(132249.880174/8.0),
- REAL_CONST(132275.307342/8.0),
- REAL_CONST(132300.735733/8.0),
- REAL_CONST(132326.165345/8.0),
- REAL_CONST(132351.596179/8.0),
- REAL_CONST(132377.028234/8.0),
- REAL_CONST(132402.461511/8.0),
- REAL_CONST(132427.896010/8.0),
- REAL_CONST(132453.331729/8.0),
- REAL_CONST(132478.768671/8.0),
- REAL_CONST(132504.206833/8.0),
- REAL_CONST(132529.646216/8.0),
- REAL_CONST(132555.086820/8.0),
- REAL_CONST(132580.528644/8.0),
- REAL_CONST(132605.971690/8.0),
- REAL_CONST(132631.415955/8.0),
- REAL_CONST(132656.861441/8.0),
- REAL_CONST(132682.308148/8.0),
- REAL_CONST(132707.756074/8.0),
- REAL_CONST(132733.205221/8.0),
- REAL_CONST(132758.655587/8.0),
- REAL_CONST(132784.107174/8.0),
- REAL_CONST(132809.559980/8.0),
- REAL_CONST(132835.014005/8.0),
- REAL_CONST(132860.469250/8.0),
- REAL_CONST(132885.925714/8.0),
- REAL_CONST(132911.383398/8.0),
- REAL_CONST(132936.842300/8.0),
- REAL_CONST(132962.302422/8.0),
- REAL_CONST(132987.763762/8.0),
- REAL_CONST(133013.226321/8.0),
- REAL_CONST(133038.690099/8.0),
- REAL_CONST(133064.155095/8.0),
- REAL_CONST(133089.621310/8.0),
- REAL_CONST(133115.088743/8.0),
- REAL_CONST(133140.557394/8.0),
- REAL_CONST(133166.027263/8.0),
- REAL_CONST(133191.498350/8.0),
- REAL_CONST(133216.970655/8.0),
- REAL_CONST(133242.444178/8.0),
- REAL_CONST(133267.918918/8.0),
- REAL_CONST(133293.394876/8.0),
- REAL_CONST(133318.872051/8.0),
- REAL_CONST(133344.350443/8.0),
- REAL_CONST(133369.830052/8.0),
- REAL_CONST(133395.310878/8.0),
- REAL_CONST(133420.792921/8.0),
- REAL_CONST(133446.276181/8.0),
- REAL_CONST(133471.760658/8.0),
- REAL_CONST(133497.246351/8.0),
- REAL_CONST(133522.733261/8.0),
- REAL_CONST(133548.221386/8.0),
- REAL_CONST(133573.710728/8.0),
- REAL_CONST(133599.201286/8.0),
- REAL_CONST(133624.693060/8.0),
- REAL_CONST(133650.186050/8.0),
- REAL_CONST(133675.680256/8.0),
- REAL_CONST(133701.175677/8.0),
- REAL_CONST(133726.672314/8.0),
- REAL_CONST(133752.170166/8.0),
- REAL_CONST(133777.669233/8.0),
- REAL_CONST(133803.169515/8.0),
- REAL_CONST(133828.671013/8.0),
- REAL_CONST(133854.173725/8.0),
- REAL_CONST(133879.677652/8.0),
- REAL_CONST(133905.182794/8.0),
- REAL_CONST(133930.689150/8.0),
- REAL_CONST(133956.196721/8.0),
- REAL_CONST(133981.705506/8.0),
- REAL_CONST(134007.215506/8.0),
- REAL_CONST(134032.726719/8.0),
- REAL_CONST(134058.239147/8.0),
- REAL_CONST(134083.752788/8.0),
- REAL_CONST(134109.267643/8.0),
- REAL_CONST(134134.783712/8.0),
- REAL_CONST(134160.300994/8.0),
- REAL_CONST(134185.819489/8.0),
- REAL_CONST(134211.339198/8.0),
- REAL_CONST(134236.860120/8.0),
- REAL_CONST(134262.382255/8.0),
- REAL_CONST(134287.905604/8.0),
- REAL_CONST(134313.430164/8.0),
- REAL_CONST(134338.955938/8.0),
- REAL_CONST(134364.482924/8.0),
- REAL_CONST(134390.011123/8.0),
- REAL_CONST(134415.540534/8.0),
- REAL_CONST(134441.071157/8.0),
- REAL_CONST(134466.602993/8.0),
- REAL_CONST(134492.136040/8.0),
- REAL_CONST(134517.670300/8.0),
- REAL_CONST(134543.205771/8.0),
- REAL_CONST(134568.742454/8.0),
- REAL_CONST(134594.280348/8.0),
- REAL_CONST(134619.819454/8.0),
- REAL_CONST(134645.359771/8.0),
- REAL_CONST(134670.901299/8.0),
- REAL_CONST(134696.444039/8.0),
- REAL_CONST(134721.987989/8.0),
- REAL_CONST(134747.533151/8.0),
- REAL_CONST(134773.079523/8.0),
- REAL_CONST(134798.627106/8.0),
- REAL_CONST(134824.175899/8.0),
- REAL_CONST(134849.725902/8.0),
- REAL_CONST(134875.277116/8.0),
- REAL_CONST(134900.829541/8.0),
- REAL_CONST(134926.383175/8.0),
- REAL_CONST(134951.938019/8.0),
- REAL_CONST(134977.494073/8.0),
- REAL_CONST(135003.051337/8.0),
- REAL_CONST(135028.609810/8.0),
- REAL_CONST(135054.169493/8.0),
- REAL_CONST(135079.730385/8.0),
- REAL_CONST(135105.292487/8.0),
- REAL_CONST(135130.855798/8.0),
- REAL_CONST(135156.420317/8.0),
- REAL_CONST(135181.986046/8.0),
- REAL_CONST(135207.552983/8.0),
- REAL_CONST(135233.121129/8.0),
- REAL_CONST(135258.690484/8.0),
- REAL_CONST(135284.261047/8.0),
- REAL_CONST(135309.832819/8.0),
- REAL_CONST(135335.405799/8.0),
- REAL_CONST(135360.979987/8.0),
- REAL_CONST(135386.555383/8.0),
- REAL_CONST(135412.131986/8.0),
- REAL_CONST(135437.709798/8.0),
- REAL_CONST(135463.288817/8.0),
- REAL_CONST(135488.869044/8.0),
- REAL_CONST(135514.450478/8.0),
- REAL_CONST(135540.033120/8.0),
- REAL_CONST(135565.616969/8.0),
- REAL_CONST(135591.202025/8.0),
- REAL_CONST(135616.788287/8.0),
- REAL_CONST(135642.375757/8.0),
- REAL_CONST(135667.964434/8.0),
- REAL_CONST(135693.554317/8.0),
- REAL_CONST(135719.145407/8.0),
- REAL_CONST(135744.737703/8.0),
- REAL_CONST(135770.331205/8.0),
- REAL_CONST(135795.925914/8.0),
- REAL_CONST(135821.521828/8.0),
- REAL_CONST(135847.118949/8.0),
- REAL_CONST(135872.717275/8.0),
- REAL_CONST(135898.316808/8.0),
- REAL_CONST(135923.917545/8.0),
- REAL_CONST(135949.519489/8.0),
- REAL_CONST(135975.122637/8.0),
- REAL_CONST(136000.726991/8.0),
- REAL_CONST(136026.332551/8.0),
- REAL_CONST(136051.939315/8.0),
- REAL_CONST(136077.547284/8.0),
- REAL_CONST(136103.156458/8.0),
- REAL_CONST(136128.766837/8.0),
- REAL_CONST(136154.378420/8.0),
- REAL_CONST(136179.991208/8.0),
- REAL_CONST(136205.605200/8.0),
- REAL_CONST(136231.220396/8.0),
- REAL_CONST(136256.836797/8.0),
- REAL_CONST(136282.454401/8.0),
- REAL_CONST(136308.073210/8.0),
- REAL_CONST(136333.693222/8.0),
- REAL_CONST(136359.314438/8.0),
- REAL_CONST(136384.936858/8.0),
- REAL_CONST(136410.560481/8.0),
- REAL_CONST(136436.185307/8.0),
- REAL_CONST(136461.811337/8.0),
- REAL_CONST(136487.438570/8.0),
- REAL_CONST(136513.067006/8.0),
- REAL_CONST(136538.696644/8.0),
- REAL_CONST(136564.327486/8.0),
- REAL_CONST(136589.959530/8.0),
- REAL_CONST(136615.592777/8.0),
- REAL_CONST(136641.227226/8.0),
- REAL_CONST(136666.862877/8.0),
- REAL_CONST(136692.499731/8.0),
- REAL_CONST(136718.137787/8.0),
- REAL_CONST(136743.777045/8.0),
- REAL_CONST(136769.417505/8.0),
- REAL_CONST(136795.059166/8.0),
- REAL_CONST(136820.702029/8.0),
- REAL_CONST(136846.346094/8.0),
- REAL_CONST(136871.991360/8.0),
- REAL_CONST(136897.637828/8.0),
- REAL_CONST(136923.285496/8.0),
- REAL_CONST(136948.934366/8.0),
- REAL_CONST(136974.584437/8.0),
- REAL_CONST(137000.235709/8.0),
- REAL_CONST(137025.888181/8.0),
- REAL_CONST(137051.541854/8.0),
- REAL_CONST(137077.196728/8.0),
- REAL_CONST(137102.852802/8.0),
- REAL_CONST(137128.510076/8.0),
- REAL_CONST(137154.168551/8.0),
- REAL_CONST(137179.828225/8.0),
- REAL_CONST(137205.489100/8.0),
- REAL_CONST(137231.151174/8.0),
- REAL_CONST(137256.814449/8.0),
- REAL_CONST(137282.478922/8.0),
- REAL_CONST(137308.144596/8.0),
- REAL_CONST(137333.811469/8.0),
- REAL_CONST(137359.479541/8.0),
- REAL_CONST(137385.148812/8.0),
- REAL_CONST(137410.819282/8.0),
- REAL_CONST(137436.490952/8.0),
- REAL_CONST(137462.163820/8.0),
- REAL_CONST(137487.837887/8.0),
- REAL_CONST(137513.513152/8.0),
- REAL_CONST(137539.189617/8.0),
- REAL_CONST(137564.867279/8.0),
- REAL_CONST(137590.546140/8.0),
- REAL_CONST(137616.226199/8.0),
- REAL_CONST(137641.907456/8.0),
- REAL_CONST(137667.589911/8.0),
- REAL_CONST(137693.273564/8.0),
- REAL_CONST(137718.958414/8.0),
- REAL_CONST(137744.644462/8.0),
- REAL_CONST(137770.331708/8.0),
- REAL_CONST(137796.020151/8.0),
- REAL_CONST(137821.709792/8.0),
- REAL_CONST(137847.400629/8.0),
- REAL_CONST(137873.092664/8.0),
- REAL_CONST(137898.785896/8.0),
- REAL_CONST(137924.480324/8.0),
- REAL_CONST(137950.175949/8.0),
- REAL_CONST(137975.872771/8.0),
- REAL_CONST(138001.570789/8.0),
- REAL_CONST(138027.270004/8.0),
- REAL_CONST(138052.970415/8.0),
- REAL_CONST(138078.672022/8.0),
- REAL_CONST(138104.374826/8.0),
- REAL_CONST(138130.078825/8.0),
- REAL_CONST(138155.784020/8.0),
- REAL_CONST(138181.490410/8.0),
- REAL_CONST(138207.197997/8.0),
- REAL_CONST(138232.906779/8.0),
- REAL_CONST(138258.616756/8.0),
- REAL_CONST(138284.327929/8.0),
- REAL_CONST(138310.040296/8.0),
- REAL_CONST(138335.753859/8.0),
- REAL_CONST(138361.468617/8.0),
- REAL_CONST(138387.184569/8.0),
- REAL_CONST(138412.901717/8.0),
- REAL_CONST(138438.620059/8.0),
- REAL_CONST(138464.339595/8.0),
- REAL_CONST(138490.060326/8.0),
- REAL_CONST(138515.782251/8.0),
- REAL_CONST(138541.505370/8.0),
- REAL_CONST(138567.229684/8.0),
- REAL_CONST(138592.955191/8.0),
- REAL_CONST(138618.681892/8.0),
- REAL_CONST(138644.409787/8.0),
- REAL_CONST(138670.138876/8.0),
- REAL_CONST(138695.869158/8.0),
- REAL_CONST(138721.600633/8.0),
- REAL_CONST(138747.333302/8.0),
- REAL_CONST(138773.067164/8.0),
- REAL_CONST(138798.802219/8.0),
- REAL_CONST(138824.538467/8.0),
- REAL_CONST(138850.275907/8.0),
- REAL_CONST(138876.014541/8.0),
- REAL_CONST(138901.754367/8.0),
- REAL_CONST(138927.495386/8.0),
- REAL_CONST(138953.237597/8.0),
- REAL_CONST(138978.981000/8.0),
- REAL_CONST(139004.725596/8.0),
- REAL_CONST(139030.471383/8.0),
- REAL_CONST(139056.218363/8.0),
- REAL_CONST(139081.966534/8.0),
- REAL_CONST(139107.715897/8.0),
- REAL_CONST(139133.466452/8.0),
- REAL_CONST(139159.218198/8.0),
- REAL_CONST(139184.971136/8.0),
- REAL_CONST(139210.725265/8.0),
- REAL_CONST(139236.480585/8.0),
- REAL_CONST(139262.237097/8.0),
- REAL_CONST(139287.994799/8.0),
- REAL_CONST(139313.753692/8.0),
- REAL_CONST(139339.513776/8.0),
- REAL_CONST(139365.275050/8.0),
- REAL_CONST(139391.037515/8.0),
- REAL_CONST(139416.801171/8.0),
- REAL_CONST(139442.566017/8.0),
- REAL_CONST(139468.332052/8.0),
- REAL_CONST(139494.099279/8.0),
- REAL_CONST(139519.867695/8.0),
- REAL_CONST(139545.637300/8.0),
- REAL_CONST(139571.408096/8.0),
- REAL_CONST(139597.180081/8.0),
- REAL_CONST(139622.953256/8.0),
- REAL_CONST(139648.727621/8.0),
- REAL_CONST(139674.503174/8.0),
- REAL_CONST(139700.279917/8.0),
- REAL_CONST(139726.057849/8.0),
- REAL_CONST(139751.836970/8.0),
- REAL_CONST(139777.617280/8.0),
- REAL_CONST(139803.398778/8.0),
- REAL_CONST(139829.181465/8.0),
- REAL_CONST(139854.965341/8.0),
- REAL_CONST(139880.750405/8.0),
- REAL_CONST(139906.536658/8.0),
- REAL_CONST(139932.324099/8.0),
- REAL_CONST(139958.112728/8.0),
- REAL_CONST(139983.902544/8.0),
- REAL_CONST(140009.693549/8.0),
- REAL_CONST(140035.485742/8.0),
- REAL_CONST(140061.279122/8.0),
- REAL_CONST(140087.073690/8.0),
- REAL_CONST(140112.869445/8.0),
- REAL_CONST(140138.666388/8.0),
- REAL_CONST(140164.464518/8.0),
- REAL_CONST(140190.263835/8.0),
- REAL_CONST(140216.064339/8.0),
- REAL_CONST(140241.866030/8.0),
- REAL_CONST(140267.668907/8.0),
- REAL_CONST(140293.472972/8.0),
- REAL_CONST(140319.278223/8.0),
- REAL_CONST(140345.084660/8.0),
- REAL_CONST(140370.892284/8.0),
- REAL_CONST(140396.701094/8.0),
- REAL_CONST(140422.511090/8.0),
- REAL_CONST(140448.322273/8.0),
- REAL_CONST(140474.134641/8.0),
- REAL_CONST(140499.948195/8.0),
- REAL_CONST(140525.762935/8.0),
- REAL_CONST(140551.578860/8.0),
- REAL_CONST(140577.395971/8.0),
- REAL_CONST(140603.214267/8.0),
- REAL_CONST(140629.033749/8.0),
- REAL_CONST(140654.854416/8.0),
- REAL_CONST(140680.676267/8.0),
- REAL_CONST(140706.499304/8.0),
- REAL_CONST(140732.323526/8.0),
- REAL_CONST(140758.148932/8.0),
- REAL_CONST(140783.975523/8.0),
- REAL_CONST(140809.803298/8.0),
- REAL_CONST(140835.632258/8.0),
- REAL_CONST(140861.462402/8.0),
- REAL_CONST(140887.293730/8.0),
- REAL_CONST(140913.126243/8.0),
- REAL_CONST(140938.959939/8.0),
- REAL_CONST(140964.794819/8.0),
- REAL_CONST(140990.630883/8.0),
- REAL_CONST(141016.468131/8.0),
- REAL_CONST(141042.306562/8.0),
- REAL_CONST(141068.146177/8.0),
- REAL_CONST(141093.986975/8.0),
- REAL_CONST(141119.828956/8.0),
- REAL_CONST(141145.672120/8.0),
- REAL_CONST(141171.516467/8.0),
- REAL_CONST(141197.361998/8.0),
- REAL_CONST(141223.208710/8.0),
- REAL_CONST(141249.056606/8.0),
- REAL_CONST(141274.905684/8.0),
- REAL_CONST(141300.755945/8.0),
- REAL_CONST(141326.607388/8.0),
- REAL_CONST(141352.460013/8.0),
- REAL_CONST(141378.313820/8.0),
- REAL_CONST(141404.168810/8.0),
- REAL_CONST(141430.024981/8.0),
- REAL_CONST(141455.882334/8.0),
- REAL_CONST(141481.740869/8.0),
- REAL_CONST(141507.600585/8.0),
- REAL_CONST(141533.461483/8.0),
- REAL_CONST(141559.323562/8.0),
- REAL_CONST(141585.186823/8.0),
- REAL_CONST(141611.051264/8.0),
- REAL_CONST(141636.916887/8.0),
- REAL_CONST(141662.783691/8.0),
- REAL_CONST(141688.651675/8.0),
- REAL_CONST(141714.520840/8.0),
- REAL_CONST(141740.391186/8.0),
- REAL_CONST(141766.262713/8.0),
- REAL_CONST(141792.135419/8.0),
- REAL_CONST(141818.009306/8.0),
- REAL_CONST(141843.884374/8.0),
- REAL_CONST(141869.760621/8.0),
- REAL_CONST(141895.638048/8.0),
- REAL_CONST(141921.516655/8.0),
- REAL_CONST(141947.396442/8.0),
- REAL_CONST(141973.277409/8.0),
- REAL_CONST(141999.159555/8.0),
- REAL_CONST(142025.042881/8.0),
- REAL_CONST(142050.927385/8.0),
- REAL_CONST(142076.813070/8.0),
- REAL_CONST(142102.699933/8.0),
- REAL_CONST(142128.587975/8.0),
- REAL_CONST(142154.477196/8.0),
- REAL_CONST(142180.367596/8.0),
- REAL_CONST(142206.259175/8.0),
- REAL_CONST(142232.151932/8.0),
- REAL_CONST(142258.045867/8.0),
- REAL_CONST(142283.940981/8.0),
- REAL_CONST(142309.837274/8.0),
- REAL_CONST(142335.734744/8.0),
- REAL_CONST(142361.633393/8.0),
- REAL_CONST(142387.533219/8.0),
- REAL_CONST(142413.434223/8.0),
- REAL_CONST(142439.336405/8.0),
- REAL_CONST(142465.239765/8.0),
- REAL_CONST(142491.144302/8.0),
- REAL_CONST(142517.050016/8.0),
- REAL_CONST(142542.956908/8.0),
- REAL_CONST(142568.864977/8.0),
- REAL_CONST(142594.774223/8.0),
- REAL_CONST(142620.684646/8.0),
- REAL_CONST(142646.596246/8.0),
- REAL_CONST(142672.509022/8.0),
- REAL_CONST(142698.422975/8.0),
- REAL_CONST(142724.338105/8.0),
- REAL_CONST(142750.254411/8.0),
- REAL_CONST(142776.171894/8.0),
- REAL_CONST(142802.090553/8.0),
- REAL_CONST(142828.010388/8.0),
- REAL_CONST(142853.931399/8.0),
- REAL_CONST(142879.853585/8.0),
- REAL_CONST(142905.776948/8.0),
- REAL_CONST(142931.701486/8.0),
- REAL_CONST(142957.627200/8.0),
- REAL_CONST(142983.554090/8.0),
- REAL_CONST(143009.482154/8.0),
- REAL_CONST(143035.411394/8.0),
- REAL_CONST(143061.341809/8.0),
- REAL_CONST(143087.273400/8.0),
- REAL_CONST(143113.206165/8.0),
- REAL_CONST(143139.140105/8.0),
- REAL_CONST(143165.075219/8.0),
- REAL_CONST(143191.011509/8.0),
- REAL_CONST(143216.948973/8.0),
- REAL_CONST(143242.887611/8.0),
- REAL_CONST(143268.827423/8.0),
- REAL_CONST(143294.768410/8.0),
- REAL_CONST(143320.710571/8.0),
- REAL_CONST(143346.653906/8.0),
- REAL_CONST(143372.598415/8.0),
- REAL_CONST(143398.544097/8.0),
- REAL_CONST(143424.490953/8.0),
- REAL_CONST(143450.438983/8.0),
- REAL_CONST(143476.388186/8.0),
- REAL_CONST(143502.338563/8.0),
- REAL_CONST(143528.290112/8.0),
- REAL_CONST(143554.242835/8.0),
- REAL_CONST(143580.196731/8.0),
- REAL_CONST(143606.151800/8.0),
- REAL_CONST(143632.108042/8.0),
- REAL_CONST(143658.065456/8.0),
- REAL_CONST(143684.024043/8.0),
- REAL_CONST(143709.983803/8.0),
- REAL_CONST(143735.944735/8.0),
- REAL_CONST(143761.906839/8.0),
- REAL_CONST(143787.870115/8.0),
- REAL_CONST(143813.834564/8.0),
- REAL_CONST(143839.800184/8.0),
- REAL_CONST(143865.766976/8.0),
- REAL_CONST(143891.734940/8.0),
- REAL_CONST(143917.704076/8.0),
- REAL_CONST(143943.674383/8.0),
- REAL_CONST(143969.645862/8.0),
- REAL_CONST(143995.618512/8.0),
- REAL_CONST(144021.592333/8.0),
- REAL_CONST(144047.567326/8.0),
- REAL_CONST(144073.543489/8.0),
- REAL_CONST(144099.520823/8.0),
- REAL_CONST(144125.499329/8.0),
- REAL_CONST(144151.479004/8.0),
- REAL_CONST(144177.459851/8.0),
- REAL_CONST(144203.441868/8.0),
- REAL_CONST(144229.425055/8.0),
- REAL_CONST(144255.409413/8.0),
- REAL_CONST(144281.394940/8.0),
- REAL_CONST(144307.381638/8.0),
- REAL_CONST(144333.369506/8.0),
- REAL_CONST(144359.358544/8.0),
- REAL_CONST(144385.348751/8.0),
- REAL_CONST(144411.340128/8.0),
- REAL_CONST(144437.332675/8.0),
- REAL_CONST(144463.326391/8.0),
- REAL_CONST(144489.321276/8.0),
- REAL_CONST(144515.317331/8.0),
- REAL_CONST(144541.314555/8.0),
- REAL_CONST(144567.312947/8.0),
- REAL_CONST(144593.312509/8.0),
- REAL_CONST(144619.313240/8.0),
- REAL_CONST(144645.315139/8.0),
- REAL_CONST(144671.318207/8.0),
- REAL_CONST(144697.322443/8.0),
- REAL_CONST(144723.327848/8.0),
- REAL_CONST(144749.334421/8.0),
- REAL_CONST(144775.342162/8.0),
- REAL_CONST(144801.351071/8.0),
- REAL_CONST(144827.361148/8.0),
- REAL_CONST(144853.372393/8.0),
- REAL_CONST(144879.384806/8.0),
- REAL_CONST(144905.398386/8.0),
- REAL_CONST(144931.413134/8.0),
- REAL_CONST(144957.429050/8.0),
- REAL_CONST(144983.446133/8.0),
- REAL_CONST(145009.464383/8.0),
- REAL_CONST(145035.483800/8.0),
- REAL_CONST(145061.504384/8.0),
- REAL_CONST(145087.526135/8.0),
- REAL_CONST(145113.549053/8.0),
- REAL_CONST(145139.573138/8.0),
- REAL_CONST(145165.598389/8.0),
- REAL_CONST(145191.624807/8.0),
- REAL_CONST(145217.652391/8.0),
- REAL_CONST(145243.681141/8.0),
- REAL_CONST(145269.711058/8.0),
- REAL_CONST(145295.742140/8.0),
- REAL_CONST(145321.774389/8.0),
- REAL_CONST(145347.807804/8.0),
- REAL_CONST(145373.842384/8.0),
- REAL_CONST(145399.878130/8.0),
- REAL_CONST(145425.915041/8.0),
- REAL_CONST(145451.953119/8.0),
- REAL_CONST(145477.992361/8.0),
- REAL_CONST(145504.032768/8.0),
- REAL_CONST(145530.074341/8.0),
- REAL_CONST(145556.117079/8.0),
- REAL_CONST(145582.160982/8.0),
- REAL_CONST(145608.206049/8.0),
- REAL_CONST(145634.252282/8.0),
- REAL_CONST(145660.299679/8.0),
- REAL_CONST(145686.348240/8.0),
- REAL_CONST(145712.397966/8.0),
- REAL_CONST(145738.448856/8.0),
- REAL_CONST(145764.500910/8.0),
- REAL_CONST(145790.554129/8.0),
- REAL_CONST(145816.608511/8.0),
- REAL_CONST(145842.664058/8.0),
- REAL_CONST(145868.720768/8.0),
- REAL_CONST(145894.778642/8.0),
- REAL_CONST(145920.837679/8.0),
- REAL_CONST(145946.897880/8.0),
- REAL_CONST(145972.959244/8.0),
- REAL_CONST(145999.021772/8.0),
- REAL_CONST(146025.085463/8.0),
- REAL_CONST(146051.150317/8.0),
- REAL_CONST(146077.216333/8.0),
- REAL_CONST(146103.283513/8.0),
- REAL_CONST(146129.351855/8.0),
- REAL_CONST(146155.421360/8.0),
- REAL_CONST(146181.492028/8.0),
- REAL_CONST(146207.563858/8.0),
- REAL_CONST(146233.636850/8.0),
- REAL_CONST(146259.711005/8.0),
- REAL_CONST(146285.786321/8.0),
- REAL_CONST(146311.862800/8.0),
- REAL_CONST(146337.940441/8.0),
- REAL_CONST(146364.019243/8.0),
- REAL_CONST(146390.099208/8.0),
- REAL_CONST(146416.180333/8.0),
- REAL_CONST(146442.262621/8.0),
- REAL_CONST(146468.346069/8.0),
- REAL_CONST(146494.430679/8.0),
- REAL_CONST(146520.516451/8.0),
- REAL_CONST(146546.603383/8.0),
- REAL_CONST(146572.691476/8.0),
- REAL_CONST(146598.780731/8.0),
- REAL_CONST(146624.871146/8.0),
- REAL_CONST(146650.962721/8.0),
- REAL_CONST(146677.055457/8.0),
- REAL_CONST(146703.149354/8.0),
- REAL_CONST(146729.244411/8.0),
- REAL_CONST(146755.340629/8.0),
- REAL_CONST(146781.438006/8.0),
- REAL_CONST(146807.536544/8.0),
- REAL_CONST(146833.636241/8.0),
- REAL_CONST(146859.737099/8.0),
- REAL_CONST(146885.839116/8.0),
- REAL_CONST(146911.942293/8.0),
- REAL_CONST(146938.046629/8.0),
- REAL_CONST(146964.152125/8.0),
- REAL_CONST(146990.258780/8.0),
- REAL_CONST(147016.366595/8.0),
- REAL_CONST(147042.475568/8.0),
- REAL_CONST(147068.585701/8.0),
- REAL_CONST(147094.696992/8.0),
- REAL_CONST(147120.809443/8.0),
- REAL_CONST(147146.923052/8.0),
- REAL_CONST(147173.037819/8.0),
- REAL_CONST(147199.153746/8.0),
- REAL_CONST(147225.270830/8.0),
- REAL_CONST(147251.389073/8.0),
- REAL_CONST(147277.508474/8.0),
- REAL_CONST(147303.629034/8.0),
- REAL_CONST(147329.750751/8.0),
- REAL_CONST(147355.873626/8.0),
- REAL_CONST(147381.997659/8.0),
- REAL_CONST(147408.122850/8.0),
- REAL_CONST(147434.249198/8.0),
- REAL_CONST(147460.376704/8.0),
- REAL_CONST(147486.505367/8.0),
- REAL_CONST(147512.635187/8.0),
- REAL_CONST(147538.766165/8.0),
- REAL_CONST(147564.898300/8.0),
- REAL_CONST(147591.031591/8.0),
- REAL_CONST(147617.166040/8.0),
- REAL_CONST(147643.301645/8.0),
- REAL_CONST(147669.438407/8.0),
- REAL_CONST(147695.576326/8.0),
- REAL_CONST(147721.715401/8.0),
- REAL_CONST(147747.855632/8.0),
- REAL_CONST(147773.997020/8.0),
- REAL_CONST(147800.139564/8.0),
- REAL_CONST(147826.283264/8.0),
- REAL_CONST(147852.428119/8.0),
- REAL_CONST(147878.574131/8.0),
- REAL_CONST(147904.721299/8.0),
- REAL_CONST(147930.869622/8.0),
- REAL_CONST(147957.019100/8.0),
- REAL_CONST(147983.169734/8.0),
- REAL_CONST(148009.321524/8.0),
- REAL_CONST(148035.474469/8.0),
- REAL_CONST(148061.628568/8.0),
- REAL_CONST(148087.783823/8.0),
- REAL_CONST(148113.940233/8.0),
- REAL_CONST(148140.097798/8.0),
- REAL_CONST(148166.256517/8.0),
- REAL_CONST(148192.416391/8.0),
- REAL_CONST(148218.577420/8.0),
- REAL_CONST(148244.739603/8.0),
- REAL_CONST(148270.902940/8.0),
- REAL_CONST(148297.067431/8.0),
- REAL_CONST(148323.233077/8.0),
- REAL_CONST(148349.399877/8.0),
- REAL_CONST(148375.567830/8.0),
- REAL_CONST(148401.736938/8.0),
- REAL_CONST(148427.907199/8.0),
- REAL_CONST(148454.078613/8.0),
- REAL_CONST(148480.251182/8.0),
- REAL_CONST(148506.424903/8.0),
- REAL_CONST(148532.599778/8.0),
- REAL_CONST(148558.775806/8.0),
- REAL_CONST(148584.952987/8.0),
- REAL_CONST(148611.131322/8.0),
- REAL_CONST(148637.310809/8.0),
- REAL_CONST(148663.491449/8.0),
- REAL_CONST(148689.673241/8.0),
- REAL_CONST(148715.856187/8.0),
- REAL_CONST(148742.040284/8.0),
- REAL_CONST(148768.225534/8.0),
- REAL_CONST(148794.411937/8.0),
- REAL_CONST(148820.599491/8.0),
- REAL_CONST(148846.788198/8.0),
- REAL_CONST(148872.978057/8.0),
- REAL_CONST(148899.169067/8.0),
- REAL_CONST(148925.361230/8.0),
- REAL_CONST(148951.554544/8.0),
- REAL_CONST(148977.749009/8.0),
- REAL_CONST(149003.944626/8.0),
- REAL_CONST(149030.141395/8.0),
- REAL_CONST(149056.339315/8.0),
- REAL_CONST(149082.538386/8.0),
- REAL_CONST(149108.738608/8.0),
- REAL_CONST(149134.939981/8.0),
- REAL_CONST(149161.142504/8.0),
- REAL_CONST(149187.346179/8.0),
- REAL_CONST(149213.551004/8.0),
- REAL_CONST(149239.756980/8.0),
- REAL_CONST(149265.964106/8.0),
- REAL_CONST(149292.172383/8.0),
- REAL_CONST(149318.381810/8.0),
- REAL_CONST(149344.592387/8.0),
- REAL_CONST(149370.804115/8.0),
- REAL_CONST(149397.016992/8.0),
- REAL_CONST(149423.231019/8.0),
- REAL_CONST(149449.446196/8.0),
- REAL_CONST(149475.662522/8.0),
- REAL_CONST(149501.879998/8.0),
- REAL_CONST(149528.098623/8.0),
- REAL_CONST(149554.318398/8.0),
- REAL_CONST(149580.539322/8.0),
- REAL_CONST(149606.761396/8.0),
- REAL_CONST(149632.984618/8.0),
- REAL_CONST(149659.208989/8.0),
- REAL_CONST(149685.434509/8.0),
- REAL_CONST(149711.661178/8.0),
- REAL_CONST(149737.888996/8.0),
- REAL_CONST(149764.117962/8.0),
- REAL_CONST(149790.348076/8.0),
- REAL_CONST(149816.579339/8.0),
- REAL_CONST(149842.811751/8.0),
- REAL_CONST(149869.045310/8.0),
- REAL_CONST(149895.280017/8.0),
- REAL_CONST(149921.515873/8.0),
- REAL_CONST(149947.752876/8.0),
- REAL_CONST(149973.991027/8.0),
- REAL_CONST(150000.230325/8.0),
- REAL_CONST(150026.470771/8.0),
- REAL_CONST(150052.712365/8.0),
- REAL_CONST(150078.955106/8.0),
- REAL_CONST(150105.198994/8.0),
- REAL_CONST(150131.444029/8.0),
- REAL_CONST(150157.690212/8.0),
- REAL_CONST(150183.937541/8.0),
- REAL_CONST(150210.186017/8.0),
- REAL_CONST(150236.435640/8.0),
- REAL_CONST(150262.686410/8.0),
- REAL_CONST(150288.938326/8.0),
- REAL_CONST(150315.191388/8.0),
- REAL_CONST(150341.445597/8.0),
- REAL_CONST(150367.700952/8.0),
- REAL_CONST(150393.957453/8.0),
- REAL_CONST(150420.215101/8.0),
- REAL_CONST(150446.473894/8.0),
- REAL_CONST(150472.733833/8.0),
- REAL_CONST(150498.994918/8.0),
- REAL_CONST(150525.257149/8.0),
- REAL_CONST(150551.520525/8.0),
- REAL_CONST(150577.785046/8.0),
- REAL_CONST(150604.050713/8.0),
- REAL_CONST(150630.317525/8.0),
- REAL_CONST(150656.585482/8.0),
- REAL_CONST(150682.854585/8.0),
- REAL_CONST(150709.124832/8.0),
- REAL_CONST(150735.396224/8.0),
- REAL_CONST(150761.668761/8.0),
- REAL_CONST(150787.942442/8.0),
- REAL_CONST(150814.217268/8.0),
- REAL_CONST(150840.493239/8.0),
- REAL_CONST(150866.770354/8.0),
- REAL_CONST(150893.048613/8.0),
- REAL_CONST(150919.328016/8.0),
- REAL_CONST(150945.608563/8.0),
- REAL_CONST(150971.890255/8.0),
- REAL_CONST(150998.173090/8.0),
- REAL_CONST(151024.457068/8.0),
- REAL_CONST(151050.742191/8.0),
- REAL_CONST(151077.028457/8.0),
- REAL_CONST(151103.315866/8.0),
- REAL_CONST(151129.604419/8.0),
- REAL_CONST(151155.894115/8.0),
- REAL_CONST(151182.184955/8.0),
- REAL_CONST(151208.476937/8.0),
- REAL_CONST(151234.770062/8.0),
- REAL_CONST(151261.064330/8.0),
- REAL_CONST(151287.359741/8.0),
- REAL_CONST(151313.656295/8.0),
- REAL_CONST(151339.953991/8.0),
- REAL_CONST(151366.252829/8.0),
- REAL_CONST(151392.552810/8.0),
- REAL_CONST(151418.853934/8.0),
- REAL_CONST(151445.156199/8.0),
- REAL_CONST(151471.459606/8.0),
- REAL_CONST(151497.764156/8.0),
- REAL_CONST(151524.069847/8.0),
- REAL_CONST(151550.376680/8.0),
- REAL_CONST(151576.684655/8.0),
- REAL_CONST(151602.993771/8.0),
- REAL_CONST(151629.304028/8.0),
- REAL_CONST(151655.615427/8.0),
- REAL_CONST(151681.927968/8.0),
- REAL_CONST(151708.241649/8.0),
- REAL_CONST(151734.556472/8.0),
- REAL_CONST(151760.872435/8.0),
- REAL_CONST(151787.189540/8.0),
- REAL_CONST(151813.507785/8.0),
- REAL_CONST(151839.827171/8.0),
- REAL_CONST(151866.147697/8.0),
- REAL_CONST(151892.469364/8.0),
- REAL_CONST(151918.792172/8.0),
- REAL_CONST(151945.116119/8.0),
- REAL_CONST(151971.441207/8.0),
- REAL_CONST(151997.767435/8.0),
- REAL_CONST(152024.094803/8.0),
- REAL_CONST(152050.423310/8.0),
- REAL_CONST(152076.752958/8.0),
- REAL_CONST(152103.083745/8.0),
- REAL_CONST(152129.415672/8.0),
- REAL_CONST(152155.748738/8.0),
- REAL_CONST(152182.082944/8.0),
- REAL_CONST(152208.418289/8.0),
- REAL_CONST(152234.754773/8.0),
- REAL_CONST(152261.092396/8.0),
- REAL_CONST(152287.431158/8.0),
- REAL_CONST(152313.771060/8.0),
- REAL_CONST(152340.112100/8.0),
- REAL_CONST(152366.454278/8.0),
- REAL_CONST(152392.797595/8.0),
- REAL_CONST(152419.142051/8.0),
- REAL_CONST(152445.487645/8.0),
- REAL_CONST(152471.834378/8.0),
- REAL_CONST(152498.182249/8.0),
- REAL_CONST(152524.531257/8.0),
- REAL_CONST(152550.881404/8.0),
- REAL_CONST(152577.232689/8.0),
- REAL_CONST(152603.585111/8.0),
- REAL_CONST(152629.938672/8.0),
- REAL_CONST(152656.293370/8.0),
- REAL_CONST(152682.649205/8.0),
- REAL_CONST(152709.006178/8.0),
- REAL_CONST(152735.364288/8.0),
- REAL_CONST(152761.723535/8.0),
- REAL_CONST(152788.083920/8.0),
- REAL_CONST(152814.445442/8.0),
- REAL_CONST(152840.808100/8.0),
- REAL_CONST(152867.171895/8.0),
- REAL_CONST(152893.536827/8.0),
- REAL_CONST(152919.902896/8.0),
- REAL_CONST(152946.270101/8.0),
- REAL_CONST(152972.638443/8.0),
- REAL_CONST(152999.007921/8.0),
- REAL_CONST(153025.378535/8.0),
- REAL_CONST(153051.750286/8.0),
- REAL_CONST(153078.123172/8.0),
- REAL_CONST(153104.497195/8.0),
- REAL_CONST(153130.872353/8.0),
- REAL_CONST(153157.248647/8.0),
- REAL_CONST(153183.626077/8.0),
- REAL_CONST(153210.004642/8.0),
- REAL_CONST(153236.384343/8.0),
- REAL_CONST(153262.765179/8.0),
- REAL_CONST(153289.147150/8.0),
- REAL_CONST(153315.530257/8.0),
- REAL_CONST(153341.914499/8.0),
- REAL_CONST(153368.299875/8.0),
- REAL_CONST(153394.686387/8.0),
- REAL_CONST(153421.074033/8.0),
- REAL_CONST(153447.462814/8.0),
- REAL_CONST(153473.852729/8.0),
- REAL_CONST(153500.243779/8.0),
- REAL_CONST(153526.635964/8.0),
- REAL_CONST(153553.029283/8.0),
- REAL_CONST(153579.423735/8.0),
- REAL_CONST(153605.819322/8.0),
- REAL_CONST(153632.216043/8.0),
- REAL_CONST(153658.613898/8.0),
- REAL_CONST(153685.012887/8.0),
- REAL_CONST(153711.413010/8.0),
- REAL_CONST(153737.814266/8.0),
- REAL_CONST(153764.216655/8.0),
- REAL_CONST(153790.620178/8.0),
- REAL_CONST(153817.024834/8.0),
- REAL_CONST(153843.430624/8.0),
- REAL_CONST(153869.837547/8.0),
- REAL_CONST(153896.245602/8.0),
- REAL_CONST(153922.654791/8.0),
- REAL_CONST(153949.065112/8.0),
- REAL_CONST(153975.476566/8.0),
- REAL_CONST(154001.889153/8.0),
- REAL_CONST(154028.302873/8.0),
- REAL_CONST(154054.717724/8.0),
- REAL_CONST(154081.133709/8.0),
- REAL_CONST(154107.550825/8.0),
- REAL_CONST(154133.969074/8.0),
- REAL_CONST(154160.388454/8.0),
- REAL_CONST(154186.808967/8.0),
- REAL_CONST(154213.230611/8.0),
- REAL_CONST(154239.653387/8.0),
- REAL_CONST(154266.077295/8.0),
- REAL_CONST(154292.502335/8.0),
- REAL_CONST(154318.928506/8.0),
- REAL_CONST(154345.355808/8.0),
- REAL_CONST(154371.784241/8.0),
- REAL_CONST(154398.213806/8.0),
- REAL_CONST(154424.644502/8.0),
- REAL_CONST(154451.076329/8.0),
- REAL_CONST(154477.509287/8.0),
- REAL_CONST(154503.943375/8.0),
- REAL_CONST(154530.378594/8.0),
- REAL_CONST(154556.814944/8.0),
- REAL_CONST(154583.252425/8.0),
- REAL_CONST(154609.691035/8.0),
- REAL_CONST(154636.130776/8.0),
- REAL_CONST(154662.571648/8.0),
- REAL_CONST(154689.013649/8.0),
- REAL_CONST(154715.456781/8.0),
- REAL_CONST(154741.901042/8.0),
- REAL_CONST(154768.346433/8.0),
- REAL_CONST(154794.792954/8.0),
- REAL_CONST(154821.240605/8.0),
- REAL_CONST(154847.689385/8.0),
- REAL_CONST(154874.139294/8.0),
- REAL_CONST(154900.590333/8.0),
- REAL_CONST(154927.042501/8.0),
- REAL_CONST(154953.495799/8.0),
- REAL_CONST(154979.950225/8.0),
- REAL_CONST(155006.405780/8.0),
- REAL_CONST(155032.862464/8.0),
- REAL_CONST(155059.320277/8.0),
- REAL_CONST(155085.779219/8.0),
- REAL_CONST(155112.239289/8.0),
- REAL_CONST(155138.700488/8.0),
- REAL_CONST(155165.162815/8.0),
- REAL_CONST(155191.626270/8.0),
- REAL_CONST(155218.090854/8.0),
- REAL_CONST(155244.556566/8.0),
- REAL_CONST(155271.023405/8.0),
- REAL_CONST(155297.491373/8.0),
- REAL_CONST(155323.960468/8.0),
- REAL_CONST(155350.430691/8.0),
- REAL_CONST(155376.902042/8.0),
- REAL_CONST(155403.374520/8.0),
- REAL_CONST(155429.848126/8.0),
- REAL_CONST(155456.322859/8.0),
- REAL_CONST(155482.798719/8.0),
- REAL_CONST(155509.275706/8.0),
- REAL_CONST(155535.753821/8.0),
- REAL_CONST(155562.233062/8.0),
- REAL_CONST(155588.713430/8.0),
- REAL_CONST(155615.194925/8.0),
- REAL_CONST(155641.677547/8.0),
- REAL_CONST(155668.161295/8.0),
- REAL_CONST(155694.646170/8.0),
- REAL_CONST(155721.132171/8.0),
- REAL_CONST(155747.619298/8.0),
- REAL_CONST(155774.107551/8.0),
- REAL_CONST(155800.596931/8.0),
- REAL_CONST(155827.087436/8.0),
- REAL_CONST(155853.579068/8.0),
- REAL_CONST(155880.071825/8.0),
- REAL_CONST(155906.565708/8.0),
- REAL_CONST(155933.060716/8.0),
- REAL_CONST(155959.556850/8.0),
- REAL_CONST(155986.054110/8.0),
- REAL_CONST(156012.552494/8.0),
- REAL_CONST(156039.052004/8.0),
- REAL_CONST(156065.552639/8.0),
- REAL_CONST(156092.054399/8.0),
- REAL_CONST(156118.557284/8.0),
- REAL_CONST(156145.061294/8.0),
- REAL_CONST(156171.566429/8.0),
- REAL_CONST(156198.072688/8.0),
- REAL_CONST(156224.580072/8.0),
- REAL_CONST(156251.088580/8.0),
- REAL_CONST(156277.598213/8.0),
- REAL_CONST(156304.108970/8.0),
- REAL_CONST(156330.620851/8.0),
- REAL_CONST(156357.133856/8.0),
- REAL_CONST(156383.647985/8.0),
- REAL_CONST(156410.163238/8.0),
- REAL_CONST(156436.679615/8.0),
- REAL_CONST(156463.197115/8.0),
- REAL_CONST(156489.715740/8.0),
- REAL_CONST(156516.235487/8.0),
- REAL_CONST(156542.756358/8.0),
- REAL_CONST(156569.278352/8.0),
- REAL_CONST(156595.801470/8.0),
- REAL_CONST(156622.325711/8.0),
- REAL_CONST(156648.851074/8.0),
- REAL_CONST(156675.377561/8.0),
- REAL_CONST(156701.905170/8.0),
- REAL_CONST(156728.433903/8.0),
- REAL_CONST(156754.963757/8.0),
- REAL_CONST(156781.494735/8.0),
- REAL_CONST(156808.026835/8.0),
- REAL_CONST(156834.560057/8.0),
- REAL_CONST(156861.094401/8.0),
- REAL_CONST(156887.629868/8.0),
- REAL_CONST(156914.166457/8.0),
- REAL_CONST(156940.704168/8.0),
- REAL_CONST(156967.243000/8.0),
- REAL_CONST(156993.782955/8.0),
- REAL_CONST(157020.324031/8.0),
- REAL_CONST(157046.866228/8.0),
- REAL_CONST(157073.409548/8.0),
- REAL_CONST(157099.953988/8.0),
- REAL_CONST(157126.499550/8.0),
- REAL_CONST(157153.046233/8.0),
- REAL_CONST(157179.594038/8.0),
- REAL_CONST(157206.142963/8.0),
- REAL_CONST(157232.693009/8.0),
- REAL_CONST(157259.244176/8.0),
- REAL_CONST(157285.796464/8.0),
- REAL_CONST(157312.349873/8.0),
- REAL_CONST(157338.904402/8.0),
- REAL_CONST(157365.460051/8.0),
- REAL_CONST(157392.016821/8.0),
- REAL_CONST(157418.574712/8.0),
- REAL_CONST(157445.133722/8.0),
- REAL_CONST(157471.693853/8.0),
- REAL_CONST(157498.255103/8.0),
- REAL_CONST(157524.817473/8.0),
- REAL_CONST(157551.380964/8.0),
- REAL_CONST(157577.945574/8.0),
- REAL_CONST(157604.511303/8.0),
- REAL_CONST(157631.078152/8.0),
- REAL_CONST(157657.646121/8.0),
- REAL_CONST(157684.215208/8.0),
- REAL_CONST(157710.785415/8.0),
- REAL_CONST(157737.356742/8.0),
- REAL_CONST(157763.929187/8.0),
- REAL_CONST(157790.502751/8.0),
- REAL_CONST(157817.077434/8.0),
- REAL_CONST(157843.653236/8.0),
- REAL_CONST(157870.230157/8.0),
- REAL_CONST(157896.808196/8.0),
- REAL_CONST(157923.387353/8.0),
- REAL_CONST(157949.967629/8.0),
- REAL_CONST(157976.549023/8.0),
- REAL_CONST(158003.131536/8.0),
- REAL_CONST(158029.715167/8.0),
- REAL_CONST(158056.299915/8.0),
- REAL_CONST(158082.885782/8.0),
- REAL_CONST(158109.472766/8.0),
- REAL_CONST(158136.060868/8.0),
- REAL_CONST(158162.650088/8.0),
- REAL_CONST(158189.240425/8.0),
- REAL_CONST(158215.831880/8.0),
- REAL_CONST(158242.424452/8.0),
- REAL_CONST(158269.018141/8.0),
- REAL_CONST(158295.612948/8.0),
- REAL_CONST(158322.208871/8.0),
- REAL_CONST(158348.805912/8.0),
- REAL_CONST(158375.404070/8.0),
- REAL_CONST(158402.003344/8.0),
- REAL_CONST(158428.603735/8.0),
- REAL_CONST(158455.205242/8.0),
- REAL_CONST(158481.807866/8.0),
- REAL_CONST(158508.411607/8.0),
- REAL_CONST(158535.016464/8.0),
- REAL_CONST(158561.622437/8.0),
- REAL_CONST(158588.229526/8.0),
- REAL_CONST(158614.837731/8.0),
- REAL_CONST(158641.447053/8.0),
- REAL_CONST(158668.057490/8.0),
- REAL_CONST(158694.669042/8.0),
- REAL_CONST(158721.281711/8.0),
- REAL_CONST(158747.895495/8.0),
- REAL_CONST(158774.510395/8.0),
- REAL_CONST(158801.126410/8.0),
- REAL_CONST(158827.743540/8.0),
- REAL_CONST(158854.361785/8.0),
- REAL_CONST(158880.981146/8.0),
- REAL_CONST(158907.601621/8.0),
- REAL_CONST(158934.223212/8.0),
- REAL_CONST(158960.845917/8.0),
- REAL_CONST(158987.469737/8.0),
- REAL_CONST(159014.094672/8.0),
- REAL_CONST(159040.720721/8.0),
- REAL_CONST(159067.347885/8.0),
- REAL_CONST(159093.976163/8.0),
- REAL_CONST(159120.605556/8.0),
- REAL_CONST(159147.236062/8.0),
- REAL_CONST(159173.867683/8.0),
- REAL_CONST(159200.500417/8.0),
- REAL_CONST(159227.134266/8.0),
- REAL_CONST(159253.769228/8.0),
- REAL_CONST(159280.405304/8.0),
- REAL_CONST(159307.042494/8.0),
- REAL_CONST(159333.680797/8.0),
- REAL_CONST(159360.320214/8.0),
- REAL_CONST(159386.960744/8.0),
- REAL_CONST(159413.602387/8.0),
- REAL_CONST(159440.245143/8.0),
- REAL_CONST(159466.889012/8.0),
- REAL_CONST(159493.533995/8.0),
- REAL_CONST(159520.180090/8.0),
- REAL_CONST(159546.827298/8.0),
- REAL_CONST(159573.475619/8.0),
- REAL_CONST(159600.125052/8.0),
- REAL_CONST(159626.775598/8.0),
- REAL_CONST(159653.427256/8.0),
- REAL_CONST(159680.080027/8.0),
- REAL_CONST(159706.733909/8.0),
- REAL_CONST(159733.388904/8.0),
- REAL_CONST(159760.045011/8.0),
- REAL_CONST(159786.702230/8.0),
- REAL_CONST(159813.360561/8.0),
- REAL_CONST(159840.020003/8.0),
- REAL_CONST(159866.680557/8.0),
- REAL_CONST(159893.342223/8.0),
- REAL_CONST(159920.005000/8.0),
- REAL_CONST(159946.668889/8.0),
- REAL_CONST(159973.333889/8.0),
- REAL_CONST(160000.000000/8.0),
- REAL_CONST(160026.667222/8.0),
- REAL_CONST(160053.335555/8.0),
- REAL_CONST(160080.005000/8.0),
- REAL_CONST(160106.675555/8.0),
- REAL_CONST(160133.347220/8.0),
- REAL_CONST(160160.019997/8.0),
- REAL_CONST(160186.693884/8.0),
- REAL_CONST(160213.368881/8.0),
- REAL_CONST(160240.044989/8.0),
- REAL_CONST(160266.722207/8.0),
- REAL_CONST(160293.400535/8.0),
- REAL_CONST(160320.079973/8.0),
- REAL_CONST(160346.760522/8.0),
- REAL_CONST(160373.442180/8.0),
- REAL_CONST(160400.124948/8.0),
- REAL_CONST(160426.808826/8.0),
- REAL_CONST(160453.493813/8.0),
- REAL_CONST(160480.179910/8.0),
- REAL_CONST(160506.867116/8.0),
- REAL_CONST(160533.555432/8.0),
- REAL_CONST(160560.244857/8.0),
- REAL_CONST(160586.935391/8.0),
- REAL_CONST(160613.627035/8.0),
- REAL_CONST(160640.319787/8.0),
- REAL_CONST(160667.013648/8.0),
- REAL_CONST(160693.708618/8.0),
- REAL_CONST(160720.404697/8.0),
- REAL_CONST(160747.101884/8.0),
- REAL_CONST(160773.800180/8.0),
- REAL_CONST(160800.499584/8.0),
- REAL_CONST(160827.200097/8.0),
- REAL_CONST(160853.901717/8.0),
- REAL_CONST(160880.604446/8.0),
- REAL_CONST(160907.308283/8.0),
- REAL_CONST(160934.013228/8.0),
- REAL_CONST(160960.719281/8.0),
- REAL_CONST(160987.426442/8.0),
- REAL_CONST(161014.134710/8.0),
- REAL_CONST(161040.844086/8.0),
- REAL_CONST(161067.554570/8.0),
- REAL_CONST(161094.266161/8.0),
- REAL_CONST(161120.978859/8.0),
- REAL_CONST(161147.692665/8.0),
- REAL_CONST(161174.407577/8.0),
- REAL_CONST(161201.123597/8.0),
- REAL_CONST(161227.840724/8.0),
- REAL_CONST(161254.558957/8.0),
- REAL_CONST(161281.278298/8.0),
- REAL_CONST(161307.998745/8.0),
- REAL_CONST(161334.720298/8.0),
- REAL_CONST(161361.442958/8.0),
- REAL_CONST(161388.166725/8.0),
- REAL_CONST(161414.891598/8.0),
- REAL_CONST(161441.617577/8.0),
- REAL_CONST(161468.344662/8.0),
- REAL_CONST(161495.072853/8.0),
- REAL_CONST(161521.802151/8.0),
- REAL_CONST(161548.532554/8.0),
- REAL_CONST(161575.264062/8.0),
- REAL_CONST(161601.996677/8.0),
- REAL_CONST(161628.730397/8.0),
- REAL_CONST(161655.465223/8.0),
- REAL_CONST(161682.201154/8.0),
- REAL_CONST(161708.938190/8.0),
- REAL_CONST(161735.676332/8.0),
- REAL_CONST(161762.415579/8.0),
- REAL_CONST(161789.155930/8.0),
- REAL_CONST(161815.897387/8.0),
- REAL_CONST(161842.639949/8.0),
- REAL_CONST(161869.383615/8.0),
- REAL_CONST(161896.128386/8.0),
- REAL_CONST(161922.874261/8.0),
- REAL_CONST(161949.621242/8.0),
- REAL_CONST(161976.369326/8.0),
- REAL_CONST(162003.118515/8.0),
- REAL_CONST(162029.868808/8.0),
- REAL_CONST(162056.620205/8.0),
- REAL_CONST(162083.372706/8.0),
- REAL_CONST(162110.126311/8.0),
- REAL_CONST(162136.881020/8.0),
- REAL_CONST(162163.636833/8.0),
- REAL_CONST(162190.393750/8.0),
- REAL_CONST(162217.151770/8.0),
- REAL_CONST(162243.910893/8.0),
- REAL_CONST(162270.671120/8.0),
- REAL_CONST(162297.432450/8.0),
- REAL_CONST(162324.194884/8.0),
- REAL_CONST(162350.958420/8.0),
- REAL_CONST(162377.723060/8.0),
- REAL_CONST(162404.488802/8.0),
- REAL_CONST(162431.255648/8.0),
- REAL_CONST(162458.023596/8.0),
- REAL_CONST(162484.792647/8.0),
- REAL_CONST(162511.562800/8.0),
- REAL_CONST(162538.334056/8.0),
- REAL_CONST(162565.106414/8.0),
- REAL_CONST(162591.879875/8.0),
- REAL_CONST(162618.654438/8.0),
- REAL_CONST(162645.430103/8.0),
- REAL_CONST(162672.206870/8.0),
- REAL_CONST(162698.984739/8.0),
- REAL_CONST(162725.763710/8.0),
- REAL_CONST(162752.543782/8.0),
- REAL_CONST(162779.324957/8.0),
- REAL_CONST(162806.107232/8.0),
- REAL_CONST(162832.890610/8.0),
- REAL_CONST(162859.675089/8.0),
- REAL_CONST(162886.460669/8.0),
- REAL_CONST(162913.247350/8.0),
- REAL_CONST(162940.035132/8.0),
- REAL_CONST(162966.824016/8.0),
- REAL_CONST(162993.614000/8.0),
- REAL_CONST(163020.405085/8.0),
- REAL_CONST(163047.197271/8.0),
- REAL_CONST(163073.990558/8.0),
- REAL_CONST(163100.784945/8.0),
- REAL_CONST(163127.580433/8.0),
- REAL_CONST(163154.377021/8.0),
- REAL_CONST(163181.174710/8.0),
- REAL_CONST(163207.973499/8.0),
- REAL_CONST(163234.773388/8.0),
- REAL_CONST(163261.574377/8.0),
- REAL_CONST(163288.376465/8.0),
- REAL_CONST(163315.179654/8.0),
- REAL_CONST(163341.983943/8.0),
- REAL_CONST(163368.789331/8.0),
- REAL_CONST(163395.595819/8.0),
- REAL_CONST(163422.403406/8.0),
- REAL_CONST(163449.212093/8.0),
- REAL_CONST(163476.021879/8.0),
- REAL_CONST(163502.832764/8.0),
- REAL_CONST(163529.644749/8.0),
- REAL_CONST(163556.457832/8.0),
- REAL_CONST(163583.272015/8.0),
- REAL_CONST(163610.087296/8.0),
- REAL_CONST(163636.903676/8.0),
- REAL_CONST(163663.721155/8.0),
- REAL_CONST(163690.539732/8.0),
- REAL_CONST(163717.359408/8.0),
- REAL_CONST(163744.180182/8.0),
- REAL_CONST(163771.002055/8.0),
- REAL_CONST(163797.825026/8.0),
- REAL_CONST(163824.649095/8.0),
- REAL_CONST(163851.474262/8.0),
- REAL_CONST(163878.300527/8.0),
- REAL_CONST(163905.127890/8.0),
- REAL_CONST(163931.956351/8.0),
- REAL_CONST(163958.785910/8.0),
- REAL_CONST(163985.616566/8.0),
- REAL_CONST(164012.448320/8.0),
- REAL_CONST(164039.281171/8.0),
- REAL_CONST(164066.115119/8.0),
- REAL_CONST(164092.950165/8.0),
- REAL_CONST(164119.786308/8.0),
- REAL_CONST(164146.623548/8.0),
- REAL_CONST(164173.461884/8.0),
- REAL_CONST(164200.301318/8.0),
- REAL_CONST(164227.141849/8.0),
- REAL_CONST(164253.983476/8.0),
- REAL_CONST(164280.826200/8.0),
- REAL_CONST(164307.670021/8.0),
- REAL_CONST(164334.514938/8.0),
- REAL_CONST(164361.360951/8.0),
- REAL_CONST(164388.208061/8.0),
- REAL_CONST(164415.056266/8.0),
- REAL_CONST(164441.905568/8.0),
- REAL_CONST(164468.755966/8.0),
- REAL_CONST(164495.607460/8.0),
- REAL_CONST(164522.460049/8.0),
- REAL_CONST(164549.313735/8.0),
- REAL_CONST(164576.168516/8.0),
- REAL_CONST(164603.024392/8.0),
- REAL_CONST(164629.881364/8.0),
- REAL_CONST(164656.739432/8.0),
- REAL_CONST(164683.598594/8.0),
- REAL_CONST(164710.458852/8.0),
- REAL_CONST(164737.320205/8.0),
- REAL_CONST(164764.182653/8.0),
- REAL_CONST(164791.046196/8.0),
- REAL_CONST(164817.910834/8.0),
- REAL_CONST(164844.776566/8.0),
- REAL_CONST(164871.643393/8.0),
- REAL_CONST(164898.511315/8.0),
- REAL_CONST(164925.380331/8.0),
- REAL_CONST(164952.250442/8.0),
- REAL_CONST(164979.121647/8.0),
- REAL_CONST(165005.993946/8.0),
- REAL_CONST(165032.867339/8.0),
- REAL_CONST(165059.741827/8.0),
- REAL_CONST(165086.617408/8.0),
- REAL_CONST(165113.494083/8.0)
+ REAL_CONST(0.0),
+ REAL_CONST(1.0/8.0),
+ REAL_CONST(2.5198420997897464/8.0),
+ REAL_CONST(4.3267487109222245/8.0),
+ REAL_CONST(6.3496042078727974/8.0),
+ REAL_CONST(8.5498797333834844/8.0),
+ REAL_CONST(10.902723556992836/8.0),
+ REAL_CONST(13.390518279406722/8.0),
+ REAL_CONST(15.999999999999998/8.0),
+ REAL_CONST(18.720754407467133/8.0),
+ REAL_CONST(21.544346900318832/8.0),
+ REAL_CONST(24.463780996262464/8.0),
+ REAL_CONST(27.47314182127996/8.0),
+ REAL_CONST(30.567350940369842/8.0),
+ REAL_CONST(33.741991698453212/8.0),
+ REAL_CONST(36.993181114957046/8.0),
+ REAL_CONST(40.317473596635935/8.0),
+ REAL_CONST(43.711787041189993/8.0),
+ REAL_CONST(47.173345095760126/8.0),
+ REAL_CONST(50.699631325716943/8.0),
+ REAL_CONST(54.288352331898118/8.0),
+ REAL_CONST(57.937407704003519/8.0),
+ REAL_CONST(61.6448652744185/8.0),
+ REAL_CONST(65.408940536585988/8.0),
+ REAL_CONST(69.227979374755591/8.0),
+ REAL_CONST(73.100443455321638/8.0),
+ REAL_CONST(77.024897778591622/8.0),
+ REAL_CONST(80.999999999999986/8.0),
+ REAL_CONST(85.024491212518527/8.0),
+ REAL_CONST(89.097187944889555/8.0),
+ REAL_CONST(93.216975178615741/8.0),
+ REAL_CONST(97.382800224133163/8.0),
+ REAL_CONST(101.59366732596474/8.0),
+ REAL_CONST(105.84863288986224/8.0),
+ REAL_CONST(110.14680124343441/8.0),
+ REAL_CONST(114.4873208566006/8.0),
+ REAL_CONST(118.86938096020653/8.0),
+ REAL_CONST(123.29220851090024/8.0),
+ REAL_CONST(127.75506545836058/8.0),
+ REAL_CONST(132.25724627755247/8.0),
+ REAL_CONST(136.79807573413572/8.0),
+ REAL_CONST(141.37690685569191/8.0),
+ REAL_CONST(145.99311908523086/8.0),
+ REAL_CONST(150.6461165966291/8.0),
+ REAL_CONST(155.33532675434674/8.0),
+ REAL_CONST(160.06019870205279/8.0),
+ REAL_CONST(164.82020206673349/8.0),
+ REAL_CONST(169.61482576651861/8.0),
+ REAL_CONST(174.44357691188537/8.0),
+ REAL_CONST(179.30597979112557/8.0),
+ REAL_CONST(184.20157493201927/8.0),
+ REAL_CONST(189.12991823257562/8.0),
+ REAL_CONST(194.09058015449685/8.0),
+ REAL_CONST(199.08314497371677/8.0),
+ REAL_CONST(204.1072100829694/8.0),
+ REAL_CONST(209.16238534187647/8.0),
+ REAL_CONST(214.24829247050752/8.0),
+ REAL_CONST(219.36456448277784/8.0),
+ REAL_CONST(224.51084515641216/8.0),
+ REAL_CONST(229.6867885365223/8.0),
+ REAL_CONST(234.89205847013176/8.0),
+ REAL_CONST(240.12632816923249/8.0),
+ REAL_CONST(245.38927980018505/8.0),
+ REAL_CONST(250.68060409747261/8.0),
+ REAL_CONST(255.99999999999991/8.0),
+ REAL_CONST(261.34717430828869/8.0),
+ REAL_CONST(266.72184136106449/8.0),
+ REAL_CONST(272.12372272986045/8.0),
+ REAL_CONST(277.55254693037961/8.0),
+ REAL_CONST(283.0080491494619/8.0),
+ REAL_CONST(288.48997098659891/8.0),
+ REAL_CONST(293.99806020902247/8.0),
+ REAL_CONST(299.53207051947408/8.0),
+ REAL_CONST(305.0917613358298/8.0),
+ REAL_CONST(310.67689758182206/8.0),
+ REAL_CONST(316.28724948815585/8.0),
+ REAL_CONST(321.92259240337177/8.0),
+ REAL_CONST(327.58270661385535/8.0),
+ REAL_CONST(333.26737717243742/8.0),
+ REAL_CONST(338.97639373507025/8.0),
+ REAL_CONST(344.70955040510125/8.0),
+ REAL_CONST(350.46664558470013/8.0),
+ REAL_CONST(356.24748183302603/8.0),
+ REAL_CONST(362.05186573075139/8.0),
+ REAL_CONST(367.87960775058258/8.0),
+ REAL_CONST(373.73052213344511/8.0),
+ REAL_CONST(379.60442677002078/8.0),
+ REAL_CONST(385.50114308734607/8.0),
+ REAL_CONST(391.42049594019937/8.0),
+ REAL_CONST(397.36231350702371/8.0),
+ REAL_CONST(403.32642719014467/8.0),
+ REAL_CONST(409.31267152006262/8.0),
+ REAL_CONST(415.32088406360799/8.0),
+ REAL_CONST(421.35090533576471/8.0),
+ REAL_CONST(427.40257871497619/8.0),
+ REAL_CONST(433.4757503617617/8.0),
+ REAL_CONST(439.5702691404793/8.0),
+ REAL_CONST(445.68598654408271/8.0),
+ REAL_CONST(451.82275662172759/8.0),
+ REAL_CONST(457.98043590909128/8.0),
+ REAL_CONST(464.15888336127773/8.0),
+ REAL_CONST(470.35796028818726/8.0),
+ REAL_CONST(476.5775302922363/8.0),
+ REAL_CONST(482.81745920832043/8.0),
+ REAL_CONST(489.07761504591741/8.0),
+ REAL_CONST(495.35786793323581/8.0),
+ REAL_CONST(501.65809006331688/8.0),
+ REAL_CONST(507.97815564200368/8.0),
+ REAL_CONST(514.31794083769648/8.0),
+ REAL_CONST(520.67732373281672/8.0),
+ REAL_CONST(527.05618427690604/8.0),
+ REAL_CONST(533.45440424129174/8.0),
+ REAL_CONST(539.87186717525128/8.0),
+ REAL_CONST(546.30845836361505/8.0),
+ REAL_CONST(552.76406478574609/8.0),
+ REAL_CONST(559.23857507584194/8.0),
+ REAL_CONST(565.73187948450413/8.0),
+ REAL_CONST(572.24386984152341/8.0),
+ REAL_CONST(578.77443951983378/8.0),
+ REAL_CONST(585.32348340058843/8.0),
+ REAL_CONST(591.89089783931263/8.0),
+ REAL_CONST(598.47658063309257/8.0),
+ REAL_CONST(605.08043098876044/8.0),
+ REAL_CONST(611.70234949203643/8.0),
+ REAL_CONST(618.3422380775919/8.0),
+ REAL_CONST(624.99999999999977/8.0),
+ REAL_CONST(631.67553980553748/8.0),
+ REAL_CONST(638.36876330481164/8.0),
+ REAL_CONST(645.07957754617485/8.0),
+ REAL_CONST(651.80789078990415/8.0),
+ REAL_CONST(658.55361248311499/8.0),
+ REAL_CONST(665.31665323538357/8.0),
+ REAL_CONST(672.09692479505225/8.0),
+ REAL_CONST(678.8943400261943/8.0),
+ REAL_CONST(685.70881288621433/8.0),
+ REAL_CONST(692.540258404062/8.0),
+ REAL_CONST(699.38859265903977/8.0),
+ REAL_CONST(706.25373276018058/8.0),
+ REAL_CONST(713.13559682617972/8.0),
+ REAL_CONST(720.03410396586037/8.0),
+ REAL_CONST(726.94917425915435/8.0),
+ REAL_CONST(733.88072873858209/8.0),
+ REAL_CONST(740.82868937121543/8.0),
+ REAL_CONST(747.79297904110535/8.0),
+ REAL_CONST(754.77352153216191/8.0),
+ REAL_CONST(761.77024151147043/8.0),
+ REAL_CONST(768.78306451302956/8.0),
+ REAL_CONST(775.81191692189896/8.0),
+ REAL_CONST(782.85672595874246/8.0),
+ REAL_CONST(789.91741966475445/8.0),
+ REAL_CONST(796.99392688695798/8.0),
+ REAL_CONST(804.08617726386274/8.0),
+ REAL_CONST(811.19410121147098/8.0),
+ REAL_CONST(818.31762990962227/8.0),
+ REAL_CONST(825.45669528866563/8.0),
+ REAL_CONST(832.61123001644864/8.0),
+ REAL_CONST(839.78116748561604/8.0),
+ REAL_CONST(846.96644180120552/8.0),
+ REAL_CONST(854.16698776853514/8.0),
+ REAL_CONST(861.38274088137143/8.0),
+ REAL_CONST(868.61363731036977/8.0),
+ REAL_CONST(875.85961389178203/8.0),
+ REAL_CONST(883.12060811641959/8.0),
+ REAL_CONST(890.39655811886757/8.0),
+ REAL_CONST(897.68740266694181/8.0),
+ REAL_CONST(904.99308115138172/8.0),
+ REAL_CONST(912.31353357577188/8.0),
+ REAL_CONST(919.64870054668756/8.0),
+ REAL_CONST(926.99852326405619/8.0),
+ REAL_CONST(934.36294351172899/8.0),
+ REAL_CONST(941.74190364825859/8.0),
+ REAL_CONST(949.13534659787422/8.0),
+ REAL_CONST(956.54321584165211/8.0),
+ REAL_CONST(963.96545540887348/8.0),
+ REAL_CONST(971.40200986856541/8.0),
+ REAL_CONST(978.85282432122176/8.0),
+ REAL_CONST(986.31784439069588/8.0),
+ REAL_CONST(993.7970162162635/8.0),
+ REAL_CONST(1001.29028644485/8.0),
+ REAL_CONST(1008.797602223418/8.0),
+ REAL_CONST(1016.3189111915103/8.0),
+ REAL_CONST(1023.8541614739464/8.0),
+ REAL_CONST(1031.4033016736653/8.0),
+ REAL_CONST(1038.9662808647138/8.0),
+ REAL_CONST(1046.5430485853758/8.0),
+ REAL_CONST(1054.1335548314366/8.0),
+ REAL_CONST(1061.7377500495838/8.0),
+ REAL_CONST(1069.3555851309357/8.0),
+ REAL_CONST(1076.9870114046978/8.0),
+ REAL_CONST(1084.6319806319441/8.0),
+ REAL_CONST(1092.2904449995174/8.0),
+ REAL_CONST(1099.9623571140482/8.0),
+ REAL_CONST(1107.6476699960892/8.0),
+ REAL_CONST(1115.3463370743607/8.0),
+ REAL_CONST(1123.058312180106/8.0),
+ REAL_CONST(1130.7835495415541/8.0),
+ REAL_CONST(1138.5220037784854/8.0),
+ REAL_CONST(1146.273629896901/8.0),
+ REAL_CONST(1154.0383832837879/8.0),
+ REAL_CONST(1161.816219701986/8.0),
+ REAL_CONST(1169.607095285146/8.0),
+ REAL_CONST(1177.4109665327808/8.0),
+ REAL_CONST(1185.2277903054078/8.0),
+ REAL_CONST(1193.0575238197798/8.0),
+ REAL_CONST(1200.9001246442001/8.0),
+ REAL_CONST(1208.7555506939248/8.0),
+ REAL_CONST(1216.6237602266442/8.0),
+ REAL_CONST(1224.5047118380478/8.0),
+ REAL_CONST(1232.3983644574657/8.0),
+ REAL_CONST(1240.3046773435874/8.0),
+ REAL_CONST(1248.2236100802568/8.0),
+ REAL_CONST(1256.1551225723395/8.0),
+ REAL_CONST(1264.099175041662/8.0),
+ REAL_CONST(1272.0557280230228/8.0),
+ REAL_CONST(1280.0247423602691/8.0),
+ REAL_CONST(1288.0061792024444/8.0),
+ REAL_CONST(1295.9999999999995/8.0),
+ REAL_CONST(1304.006166501068/8.0),
+ REAL_CONST(1312.0246407478062/8.0),
+ REAL_CONST(1320.0553850727929/8.0),
+ REAL_CONST(1328.0983620954903/8.0),
+ REAL_CONST(1336.1535347187651/8.0),
+ REAL_CONST(1344.2208661254647/8.0),
+ REAL_CONST(1352.3003197750522/8.0),
+ REAL_CONST(1360.3918594002962/8.0),
+ REAL_CONST(1368.4954490040145/8.0),
+ REAL_CONST(1376.6110528558709/8.0),
+ REAL_CONST(1384.7386354892244/8.0),
+ REAL_CONST(1392.8781616980295/8.0),
+ REAL_CONST(1401.0295965337855/8.0),
+ REAL_CONST(1409.1929053025353/8.0),
+ REAL_CONST(1417.3680535619119/8.0),
+ REAL_CONST(1425.5550071182327/8.0),
+ REAL_CONST(1433.7537320236374/8.0),
+ REAL_CONST(1441.9641945732744/8.0),
+ REAL_CONST(1450.1863613025282/8.0),
+ REAL_CONST(1458.4201989842913/8.0),
+ REAL_CONST(1466.6656746262797/8.0),
+ REAL_CONST(1474.9227554683875/8.0),
+ REAL_CONST(1483.1914089800841/8.0),
+ REAL_CONST(1491.4716028578516/8.0),
+ REAL_CONST(1499.7633050226596/8.0),
+ REAL_CONST(1508.0664836174794/8.0),
+ REAL_CONST(1516.3811070048375/8.0),
+ REAL_CONST(1524.7071437644029/8.0),
+ REAL_CONST(1533.0445626906128/8.0),
+ REAL_CONST(1541.3933327903342/8.0),
+ REAL_CONST(1549.7534232805581/8.0),
+ REAL_CONST(1558.1248035861302/8.0),
+ REAL_CONST(1566.507443337515/8.0),
+ REAL_CONST(1574.9013123685909/8.0),
+ REAL_CONST(1583.3063807144795/8.0),
+ REAL_CONST(1591.7226186094069/8.0),
+ REAL_CONST(1600.1499964845941/8.0),
+ REAL_CONST(1608.58848496618/8.0),
+ REAL_CONST(1617.0380548731737/8.0),
+ REAL_CONST(1625.4986772154357/8.0),
+ REAL_CONST(1633.9703231916887/8.0),
+ REAL_CONST(1642.4529641875577/8.0),
+ REAL_CONST(1650.9465717736346/8.0),
+ REAL_CONST(1659.4511177035752/8.0),
+ REAL_CONST(1667.9665739122186/8.0),
+ REAL_CONST(1676.4929125137353/8.0),
+ REAL_CONST(1685.030105799801/8.0),
+ REAL_CONST(1693.5781262377957/8.0),
+ REAL_CONST(1702.136946469027/8.0),
+ REAL_CONST(1710.7065393069795/8.0),
+ REAL_CONST(1719.2868777355877/8.0),
+ REAL_CONST(1727.8779349075323/8.0),
+ REAL_CONST(1736.4796841425596/8.0),
+ REAL_CONST(1745.092098925825/8.0),
+ REAL_CONST(1753.7151529062583/8.0),
+ REAL_CONST(1762.3488198949503/8.0),
+ REAL_CONST(1770.9930738635628/8.0),
+ REAL_CONST(1779.6478889427597/8.0),
+ REAL_CONST(1788.3132394206564/8.0),
+ REAL_CONST(1796.9890997412947/8.0),
+ REAL_CONST(1805.6754445031333/8.0),
+ REAL_CONST(1814.3722484575621/8.0),
+ REAL_CONST(1823.0794865074322/8.0),
+ REAL_CONST(1831.7971337056094/8.0),
+ REAL_CONST(1840.5251652535437/8.0),
+ REAL_CONST(1849.2635564998579/8.0),
+ REAL_CONST(1858.0122829389563/8.0),
+ REAL_CONST(1866.7713202096493/8.0),
+ REAL_CONST(1875.5406440937966/8.0),
+ REAL_CONST(1884.3202305149687/8.0),
+ REAL_CONST(1893.110055537124/8.0),
+ REAL_CONST(1901.9100953633042/8.0),
+ REAL_CONST(1910.7203263343454/8.0),
+ REAL_CONST(1919.5407249276057/8.0),
+ REAL_CONST(1928.3712677557098/8.0),
+ REAL_CONST(1937.2119315653083/8.0),
+ REAL_CONST(1946.0626932358525/8.0),
+ REAL_CONST(1954.923529778386/8.0),
+ REAL_CONST(1963.79441833435/8.0),
+ REAL_CONST(1972.6753361744036/8.0),
+ REAL_CONST(1981.5662606972594/8.0),
+ REAL_CONST(1990.467169428533/8.0),
+ REAL_CONST(1999.3780400196069/8.0),
+ REAL_CONST(2008.2988502465078/8.0),
+ REAL_CONST(2017.2295780087982/8.0),
+ REAL_CONST(2026.1702013284819/8.0),
+ REAL_CONST(2035.1206983489212/8.0),
+ REAL_CONST(2044.0810473337688/8.0),
+ REAL_CONST(2053.0512266659125/8.0),
+ REAL_CONST(2062.0312148464309/8.0),
+ REAL_CONST(2071.0209904935646/8.0),
+ REAL_CONST(2080.0205323416958/8.0),
+ REAL_CONST(2089.0298192403443/8.0),
+ REAL_CONST(2098.0488301531714/8.0),
+ REAL_CONST(2107.0775441569995/8.0),
+ REAL_CONST(2116.115940440839/8.0),
+ REAL_CONST(2125.1639983049317/8.0),
+ REAL_CONST(2134.2216971597995/8.0),
+ REAL_CONST(2143.2890165253098/8.0),
+ REAL_CONST(2152.3659360297484/8.0),
+ REAL_CONST(2161.4524354089031/8.0),
+ REAL_CONST(2170.5484945051617/8.0),
+ REAL_CONST(2179.6540932666144/8.0),
+ REAL_CONST(2188.7692117461711/8.0),
+ REAL_CONST(2197.8938301006888/8.0),
+ REAL_CONST(2207.0279285901042/8.0),
+ REAL_CONST(2216.1714875765838/8.0),
+ REAL_CONST(2225.324487523676/8.0),
+ REAL_CONST(2234.4869089954782/8.0),
+ REAL_CONST(2243.6587326558101/8.0),
+ REAL_CONST(2252.8399392673982/8.0),
+ REAL_CONST(2262.0305096910702/8.0),
+ REAL_CONST(2271.2304248849537/8.0),
+ REAL_CONST(2280.4396659036897/8.0),
+ REAL_CONST(2289.6582138976523/8.0),
+ REAL_CONST(2298.8860501121762/8.0),
+ REAL_CONST(2308.1231558867926/8.0),
+ REAL_CONST(2317.3695126544767/8.0),
+ REAL_CONST(2326.6251019409005/8.0),
+ REAL_CONST(2335.8899053636933/8.0),
+ REAL_CONST(2345.1639046317132/8.0),
+ REAL_CONST(2354.4470815443233/8.0),
+ REAL_CONST(2363.7394179906792/8.0),
+ REAL_CONST(2373.0408959490205/8.0),
+ REAL_CONST(2382.3514974859731/8.0),
+ REAL_CONST(2391.6712047558558/8.0),
+ REAL_CONST(2400.9999999999991/8.0),
+ REAL_CONST(2410.3378655460651/8.0),
+ REAL_CONST(2419.6847838073813/8.0),
+ REAL_CONST(2429.0407372822747/8.0),
+ REAL_CONST(2438.4057085534191/8.0),
+ REAL_CONST(2447.7796802871858/8.0),
+ REAL_CONST(2457.1626352330004/8.0),
+ REAL_CONST(2466.5545562227112/8.0),
+ REAL_CONST(2475.9554261699564/8.0),
+ REAL_CONST(2485.3652280695474/8.0),
+ REAL_CONST(2494.7839449968492/8.0),
+ REAL_CONST(2504.2115601071737/8.0),
+ REAL_CONST(2513.6480566351788/8.0),
+ REAL_CONST(2523.0934178942675/8.0),
+ REAL_CONST(2532.5476272760025/8.0),
+ REAL_CONST(2542.0106682495189/8.0),
+ REAL_CONST(2551.482524360948/8.0),
+ REAL_CONST(2560.9631792328441/8.0),
+ REAL_CONST(2570.4526165636184/8.0),
+ REAL_CONST(2579.9508201269791/8.0),
+ REAL_CONST(2589.4577737713744/8.0),
+ REAL_CONST(2598.9734614194458/8.0),
+ REAL_CONST(2608.4978670674823/8.0),
+ REAL_CONST(2618.0309747848837/8.0),
+ REAL_CONST(2627.5727687136259/8.0),
+ REAL_CONST(2637.1232330677353/8.0),
+ REAL_CONST(2646.6823521327647/8.0),
+ REAL_CONST(2656.2501102652768/8.0),
+ REAL_CONST(2665.8264918923328/8.0),
+ REAL_CONST(2675.4114815109842/8.0),
+ REAL_CONST(2685.0050636877722/8.0),
+ REAL_CONST(2694.6072230582295/8.0),
+ REAL_CONST(2704.2179443263894/8.0),
+ REAL_CONST(2713.8372122642972/8.0),
+ REAL_CONST(2723.4650117115279/8.0),
+ REAL_CONST(2733.1013275747096/8.0),
+ REAL_CONST(2742.7461448270483/8.0),
+ REAL_CONST(2752.3994485078601/8.0),
+ REAL_CONST(2762.0612237221085/8.0),
+ REAL_CONST(2771.7314556399419/8.0),
+ REAL_CONST(2781.4101294962406/8.0),
+ REAL_CONST(2791.0972305901655/8.0),
+ REAL_CONST(2800.7927442847094/8.0),
+ REAL_CONST(2810.4966560062589/8.0),
+ REAL_CONST(2820.2089512441521/8.0),
+ REAL_CONST(2829.9296155502466/8.0),
+ REAL_CONST(2839.6586345384894/8.0),
+ REAL_CONST(2849.3959938844923/8.0),
+ REAL_CONST(2859.1416793251065/8.0),
+ REAL_CONST(2868.8956766580086/8.0),
+ REAL_CONST(2878.6579717412847/8.0),
+ REAL_CONST(2888.4285504930212/8.0),
+ REAL_CONST(2898.2073988908974/8.0),
+ REAL_CONST(2907.9945029717837/8.0),
+ REAL_CONST(2917.789848831344/8.0),
+ REAL_CONST(2927.5934226236377/8.0),
+ REAL_CONST(2937.4052105607311/8.0),
+ REAL_CONST(2947.2251989123079/8.0),
+ REAL_CONST(2957.0533740052865/8.0),
+ REAL_CONST(2966.8897222234368/8.0),
+ REAL_CONST(2976.734230007005/8.0),
+ REAL_CONST(2986.5868838523397/8.0),
+ REAL_CONST(2996.4476703115197/8.0),
+ REAL_CONST(3006.3165759919889/8.0),
+ REAL_CONST(3016.1935875561908/8.0),
+ REAL_CONST(3026.0786917212095/8.0),
+ REAL_CONST(3035.9718752584108/8.0),
+ REAL_CONST(3045.8731249930906/8.0),
+ REAL_CONST(3055.7824278041207/8.0),
+ REAL_CONST(3065.6997706236039/8.0),
+ REAL_CONST(3075.625140436528/8.0),
+ REAL_CONST(3085.5585242804245/8.0),
+ REAL_CONST(3095.4999092450298/8.0),
+ REAL_CONST(3105.4492824719491/8.0),
+ REAL_CONST(3115.4066311543256/8.0),
+ REAL_CONST(3125.3719425365089/8.0),
+ REAL_CONST(3135.3452039137287/8.0),
+ REAL_CONST(3145.3264026317715/8.0),
+ REAL_CONST(3155.3155260866592/8.0),
+ REAL_CONST(3165.3125617243295/8.0),
+ REAL_CONST(3175.3174970403229/8.0),
+ REAL_CONST(3185.3303195794679/8.0),
+ REAL_CONST(3195.35101693557/8.0),
+ REAL_CONST(3205.3795767511078/8.0),
+ REAL_CONST(3215.4159867169251/8.0),
+ REAL_CONST(3225.460234571929/8.0),
+ REAL_CONST(3235.5123081027928/8.0),
+ REAL_CONST(3245.5721951436558/8.0),
+ REAL_CONST(3255.63988357583/8.0),
+ REAL_CONST(3265.7153613275095/8.0),
+ REAL_CONST(3275.7986163734795/8.0),
+ REAL_CONST(3285.8896367348289/8.0),
+ REAL_CONST(3295.9884104786665/8.0),
+ REAL_CONST(3306.0949257178395/8.0),
+ REAL_CONST(3316.2091706106517/8.0),
+ REAL_CONST(3326.331133360588/8.0),
+ REAL_CONST(3336.4608022160378/8.0),
+ REAL_CONST(3346.5981654700231/8.0),
+ REAL_CONST(3356.7432114599264/8.0),
+ REAL_CONST(3366.8959285672249/8.0),
+ REAL_CONST(3377.0563052172211/8.0),
+ REAL_CONST(3387.2243298787821/8.0),
+ REAL_CONST(3397.3999910640764/8.0),
+ REAL_CONST(3407.5832773283128/8.0),
+ REAL_CONST(3417.7741772694862/8.0),
+ REAL_CONST(3427.9726795281199/8.0),
+ REAL_CONST(3438.1787727870123/8.0),
+ REAL_CONST(3448.3924457709873/8.0),
+ REAL_CONST(3458.6136872466445/8.0),
+ REAL_CONST(3468.8424860221107/8.0),
+ REAL_CONST(3479.0788309467976/8.0),
+ REAL_CONST(3489.3227109111554/8.0),
+ REAL_CONST(3499.5741148464344/8.0),
+ REAL_CONST(3509.8330317244445/8.0),
+ REAL_CONST(3520.0994505573185/8.0),
+ REAL_CONST(3530.3733603972751/8.0),
+ REAL_CONST(3540.6547503363886/8.0),
+ REAL_CONST(3550.9436095063534/8.0),
+ REAL_CONST(3561.239927078258/8.0),
+ REAL_CONST(3571.5436922623535/8.0),
+ REAL_CONST(3581.8548943078308/8.0),
+ REAL_CONST(3592.1735225025936/8.0),
+ REAL_CONST(3602.4995661730372/8.0),
+ REAL_CONST(3612.8330146838275/8.0),
+ REAL_CONST(3623.1738574376814/8.0),
+ REAL_CONST(3633.5220838751502/8.0),
+ REAL_CONST(3643.8776834744031/8.0),
+ REAL_CONST(3654.2406457510142/8.0),
+ REAL_CONST(3664.6109602577494/8.0),
+ REAL_CONST(3674.9886165843564/8.0),
+ REAL_CONST(3685.3736043573545/8.0),
+ REAL_CONST(3695.7659132398294/8.0),
+ REAL_CONST(3706.1655329312248/8.0),
+ REAL_CONST(3716.5724531671399/8.0),
+ REAL_CONST(3726.9866637191262/8.0),
+ REAL_CONST(3737.4081543944876/8.0),
+ REAL_CONST(3747.8369150360782/8.0),
+ REAL_CONST(3758.2729355221072/8.0),
+ REAL_CONST(3768.7162057659411/8.0),
+ REAL_CONST(3779.1667157159077/8.0),
+ REAL_CONST(3789.6244553551055/8.0),
+ REAL_CONST(3800.0894147012082/8.0),
+ REAL_CONST(3810.5615838062768/8.0),
+ REAL_CONST(3821.0409527565694/8.0),
+ REAL_CONST(3831.5275116723533/8.0),
+ REAL_CONST(3842.0212507077194/8.0),
+ REAL_CONST(3852.522160050396/8.0),
+ REAL_CONST(3863.0302299215673/8.0),
+ REAL_CONST(3873.5454505756893/8.0),
+ REAL_CONST(3884.0678123003108/8.0),
+ REAL_CONST(3894.5973054158922/8.0),
+ REAL_CONST(3905.1339202756285/8.0),
+ REAL_CONST(3915.6776472652732/8.0),
+ REAL_CONST(3926.2284768029604/8.0),
+ REAL_CONST(3936.7863993390338/8.0),
+ REAL_CONST(3947.3514053558706/8.0),
+ REAL_CONST(3957.9234853677135/8.0),
+ REAL_CONST(3968.5026299204969/8.0),
+ REAL_CONST(3979.0888295916798/8.0),
+ REAL_CONST(3989.6820749900776/8.0),
+ REAL_CONST(4000.2823567556948/8.0),
+ REAL_CONST(4010.8896655595613/8.0),
+ REAL_CONST(4021.5039921035655/8.0),
+ REAL_CONST(4032.1253271202945/8.0),
+ REAL_CONST(4042.7536613728694/8.0),
+ REAL_CONST(4053.3889856547858/8.0),
+ REAL_CONST(4064.0312907897551/8.0),
+ REAL_CONST(4074.6805676315448/8.0),
+ REAL_CONST(4085.3368070638221/8.0),
+ REAL_CONST(4095.9999999999982/8.0),
+ REAL_CONST(4106.6701373830711/8.0),
+ REAL_CONST(4117.347210185475/8.0),
+ REAL_CONST(4128.0312094089259/8.0),
+ REAL_CONST(4138.722126084268/8.0),
+ REAL_CONST(4149.4199512713267/8.0),
+ REAL_CONST(4160.1246760587583/8.0),
+ REAL_CONST(4170.8362915638982/8.0),
+ REAL_CONST(4181.5547889326181/8.0),
+ REAL_CONST(4192.2801593391769/8.0),
+ REAL_CONST(4203.0123939860741/8.0),
+ REAL_CONST(4213.7514841039101/8.0),
+ REAL_CONST(4224.4974209512384/8.0),
+ REAL_CONST(4235.2501958144258/8.0),
+ REAL_CONST(4246.0098000075095/8.0),
+ REAL_CONST(4256.7762248720574/8.0),
+ REAL_CONST(4267.549461777031/8.0),
+ REAL_CONST(4278.3295021186423/8.0),
+ REAL_CONST(4289.1163373202198/8.0),
+ REAL_CONST(4299.9099588320714/8.0),
+ REAL_CONST(4310.7103581313495/8.0),
+ REAL_CONST(4321.5175267219138/8.0),
+ REAL_CONST(4332.3314561342004/8.0),
+ REAL_CONST(4343.152137925088/8.0),
+ REAL_CONST(4353.9795636777671/8.0),
+ REAL_CONST(4364.8137250016052/8.0),
+ REAL_CONST(4375.6546135320223/8.0),
+ REAL_CONST(4386.5022209303588/8.0),
+ REAL_CONST(4397.3565388837469/8.0),
+ REAL_CONST(4408.2175591049827/8.0),
+ REAL_CONST(4419.0852733324018/8.0),
+ REAL_CONST(4429.9596733297531/8.0),
+ REAL_CONST(4440.8407508860728/8.0),
+ REAL_CONST(4451.7284978155603/8.0),
+ REAL_CONST(4462.6229059574571/8.0),
+ REAL_CONST(4473.5239671759227/8.0),
+ REAL_CONST(4484.4316733599126/8.0),
+ REAL_CONST(4495.3460164230582/8.0),
+ REAL_CONST(4506.2669883035496/8.0),
+ REAL_CONST(4517.1945809640119/8.0),
+ REAL_CONST(4528.1287863913894/8.0),
+ REAL_CONST(4539.069596596828/8.0),
+ REAL_CONST(4550.0170036155587/8.0),
+ REAL_CONST(4560.9709995067806/8.0),
+ REAL_CONST(4571.931576353546/8.0),
+ REAL_CONST(4582.898726262647/8.0),
+ REAL_CONST(4593.8724413645004/8.0),
+ REAL_CONST(4604.8527138130348/8.0),
+ REAL_CONST(4615.8395357855816/8.0),
+ REAL_CONST(4626.8328994827571/8.0),
+ REAL_CONST(4637.8327971283588/8.0),
+ REAL_CONST(4648.8392209692511/8.0),
+ REAL_CONST(4659.8521632752563/8.0),
+ REAL_CONST(4670.8716163390473/8.0),
+ REAL_CONST(4681.8975724760394/8.0),
+ REAL_CONST(4692.9300240242837/8.0),
+ REAL_CONST(4703.9689633443595/8.0),
+ REAL_CONST(4715.0143828192668/8.0),
+ REAL_CONST(4726.0662748543255/8.0),
+ REAL_CONST(4737.1246318770682/8.0),
+ REAL_CONST(4748.1894463371373/8.0),
+ REAL_CONST(4759.2607107061804/8.0),
+ REAL_CONST(4770.3384174777493/8.0),
+ REAL_CONST(4781.4225591671993/8.0),
+ REAL_CONST(4792.5131283115852/8.0),
+ REAL_CONST(4803.6101174695614/8.0),
+ REAL_CONST(4814.7135192212854/8.0),
+ REAL_CONST(4825.8233261683154/8.0),
+ REAL_CONST(4836.9395309335096/8.0),
+ REAL_CONST(4848.0621261609349/8.0),
+ REAL_CONST(4859.1911045157631/8.0),
+ REAL_CONST(4870.3264586841779/8.0),
+ REAL_CONST(4881.4681813732768/8.0),
+ REAL_CONST(4892.6162653109768/8.0),
+ REAL_CONST(4903.7707032459193/8.0),
+ REAL_CONST(4914.931487947375/8.0),
+ REAL_CONST(4926.0986122051509/8.0),
+ REAL_CONST(4937.2720688294967/8.0),
+ REAL_CONST(4948.4518506510112/8.0),
+ REAL_CONST(4959.637950520555/8.0),
+ REAL_CONST(4970.8303613091521/8.0),
+ REAL_CONST(4982.0290759079044/8.0),
+ REAL_CONST(4993.2340872278974/8.0),
+ REAL_CONST(5004.4453882001153/8.0),
+ REAL_CONST(5015.6629717753467/8.0),
+ REAL_CONST(5026.8868309241007/8.0),
+ REAL_CONST(5038.1169586365131/8.0),
+ REAL_CONST(5049.353347922266/8.0),
+ REAL_CONST(5060.5959918104927/8.0),
+ REAL_CONST(5071.8448833496996/8.0),
+ REAL_CONST(5083.1000156076734/8.0),
+ REAL_CONST(5094.3613816713996/8.0),
+ REAL_CONST(5105.6289746469747/8.0),
+ REAL_CONST(5116.9027876595246/8.0),
+ REAL_CONST(5128.18281385312/8.0),
+ REAL_CONST(5139.4690463906918/8.0),
+ REAL_CONST(5150.7614784539473/8.0),
+ REAL_CONST(5162.0601032432933/8.0),
+ REAL_CONST(5173.3649139777472/8.0),
+ REAL_CONST(5184.6759038948594/8.0),
+ REAL_CONST(5195.9930662506322/8.0),
+ REAL_CONST(5207.3163943194386/8.0),
+ REAL_CONST(5218.6458813939435/8.0),
+ REAL_CONST(5229.9815207850224/8.0),
+ REAL_CONST(5241.3233058216847/8.0),
+ REAL_CONST(5252.6712298509919/8.0),
+ REAL_CONST(5264.025286237983/8.0),
+ REAL_CONST(5275.3854683655954/8.0),
+ REAL_CONST(5286.7517696345885/8.0),
+ REAL_CONST(5298.1241834634639/8.0),
+ REAL_CONST(5309.5027032883945/8.0),
+ REAL_CONST(5320.887322563146/8.0),
+ REAL_CONST(5332.2780347589978/8.0),
+ REAL_CONST(5343.6748333646756/8.0),
+ REAL_CONST(5355.0777118862716/8.0),
+ REAL_CONST(5366.4866638471722/8.0),
+ REAL_CONST(5377.901682787985/8.0),
+ REAL_CONST(5389.3227622664635/8.0),
+ REAL_CONST(5400.749895857437/8.0),
+ REAL_CONST(5412.1830771527357/8.0),
+ REAL_CONST(5423.622299761123/8.0),
+ REAL_CONST(5435.067557308219/8.0),
+ REAL_CONST(5446.5188434364318/8.0),
+ REAL_CONST(5457.9761518048872/8.0),
+ REAL_CONST(5469.4394760893592/8.0),
+ REAL_CONST(5480.9088099821975/8.0),
+ REAL_CONST(5492.3841471922606/8.0),
+ REAL_CONST(5503.8654814448455/8.0),
+ REAL_CONST(5515.3528064816201/8.0),
+ REAL_CONST(5526.846116060552/8.0),
+ REAL_CONST(5538.3454039558474/8.0),
+ REAL_CONST(5549.8506639578736/8.0),
+ REAL_CONST(5561.3618898731029/8.0),
+ REAL_CONST(5572.8790755240361/8.0),
+ REAL_CONST(5584.4022147491451/8.0),
+ REAL_CONST(5595.9313014027975/8.0),
+ REAL_CONST(5607.4663293552012/8.0),
+ REAL_CONST(5619.0072924923297/8.0),
+ REAL_CONST(5630.5541847158656/8.0),
+ REAL_CONST(5642.1069999431284/8.0),
+ REAL_CONST(5653.665732107017/8.0),
+ REAL_CONST(5665.230375155943/8.0),
+ REAL_CONST(5676.8009230537655/8.0),
+ REAL_CONST(5688.3773697797333/8.0),
+ REAL_CONST(5699.9597093284156/8.0),
+ REAL_CONST(5711.5479357096474/8.0),
+ REAL_CONST(5723.1420429484588/8.0),
+ REAL_CONST(5734.7420250850209/8.0),
+ REAL_CONST(5746.347876174581/8.0),
+ REAL_CONST(5757.9595902874016/8.0),
+ REAL_CONST(5769.5771615087006/8.0),
+ REAL_CONST(5781.2005839385911/8.0),
+ REAL_CONST(5792.8298516920213/8.0),
+ REAL_CONST(5804.4649588987149/8.0),
+ REAL_CONST(5816.1058997031105/8.0),
+ REAL_CONST(5827.7526682643065/8.0),
+ REAL_CONST(5839.4052587559972/8.0),
+ REAL_CONST(5851.0636653664196/8.0),
+ REAL_CONST(5862.7278822982908/8.0),
+ REAL_CONST(5874.3979037687541/8.0),
+ REAL_CONST(5886.0737240093204/8.0),
+ REAL_CONST(5897.7553372658094/8.0),
+ REAL_CONST(5909.4427377982956/8.0),
+ REAL_CONST(5921.1359198810505/8.0),
+ REAL_CONST(5932.8348778024874/8.0),
+ REAL_CONST(5944.5396058651031/8.0),
+ REAL_CONST(5956.2500983854261/8.0),
+ REAL_CONST(5967.9663496939575/8.0),
+ REAL_CONST(5979.6883541351208/8.0),
+ REAL_CONST(5991.4161060672022/8.0),
+ REAL_CONST(6003.1495998623004/8.0),
+ REAL_CONST(6014.8888299062692/8.0),
+ REAL_CONST(6026.6337905986684/8.0),
+ REAL_CONST(6038.3844763527022/8.0),
+ REAL_CONST(6050.1408815951781/8.0),
+ REAL_CONST(6061.9030007664414/8.0),
+ REAL_CONST(6073.6708283203316/8.0),
+ REAL_CONST(6085.4443587241267/8.0),
+ REAL_CONST(6097.2235864584891/8.0),
+ REAL_CONST(6109.0085060174197/8.0),
+ REAL_CONST(6120.7991119081998/8.0),
+ REAL_CONST(6132.595398651345/8.0),
+ REAL_CONST(6144.3973607805519/8.0),
+ REAL_CONST(6156.2049928426459/8.0),
+ REAL_CONST(6168.0182893975361/8.0),
+ REAL_CONST(6179.8372450181578/8.0),
+ REAL_CONST(6191.6618542904307/8.0),
+ REAL_CONST(6203.4921118132024/8.0),
+ REAL_CONST(6215.3280121982016/8.0),
+ REAL_CONST(6227.1695500699925/8.0),
+ REAL_CONST(6239.0167200659189/8.0),
+ REAL_CONST(6250.8695168360628/8.0),
+ REAL_CONST(6262.7279350431891/8.0),
+ REAL_CONST(6274.5919693627056/8.0),
+ REAL_CONST(6286.4616144826068/8.0),
+ REAL_CONST(6298.3368651034316/8.0),
+ REAL_CONST(6310.2177159382172/8.0),
+ REAL_CONST(6322.1041617124456/8.0),
+ REAL_CONST(6333.9961971640032/8.0),
+ REAL_CONST(6345.8938170431311/8.0),
+ REAL_CONST(6357.7970161123785/8.0),
+ REAL_CONST(6369.7057891465583/8.0),
+ REAL_CONST(6381.6201309327007/8.0),
+ REAL_CONST(6393.5400362700075/8.0),
+ REAL_CONST(6405.4654999698032/8.0),
+ REAL_CONST(6417.3965168554978/8.0),
+ REAL_CONST(6429.3330817625329/8.0),
+ REAL_CONST(6441.2751895383453/8.0),
+ REAL_CONST(6453.2228350423138/8.0),
+ REAL_CONST(6465.176013145724/8.0),
+ REAL_CONST(6477.134718731716/8.0),
+ REAL_CONST(6489.0989466952469/8.0),
+ REAL_CONST(6501.0686919430445/8.0),
+ REAL_CONST(6513.0439493935628/8.0),
+ REAL_CONST(6525.0247139769417/8.0),
+ REAL_CONST(6537.010980634961/8.0),
+ REAL_CONST(6549.002744321001/8.0),
+ REAL_CONST(6560.9999999999973/8.0),
+ REAL_CONST(6573.0027426483985/8.0),
+ REAL_CONST(6585.0109672541284/8.0),
+ REAL_CONST(6597.0246688165371/8.0),
+ REAL_CONST(6609.0438423463656/8.0),
+ REAL_CONST(6621.0684828657004/8.0),
+ REAL_CONST(6633.0985854079354/8.0),
+ REAL_CONST(6645.134145017727/8.0),
+ REAL_CONST(6657.1751567509573/8.0),
+ REAL_CONST(6669.2216156746908/8.0),
+ REAL_CONST(6681.2735168671343/8.0),
+ REAL_CONST(6693.3308554176001/8.0),
+ REAL_CONST(6705.3936264264594/8.0),
+ REAL_CONST(6717.461825005108/8.0),
+ REAL_CONST(6729.535446275926/8.0),
+ REAL_CONST(6741.6144853722335/8.0),
+ REAL_CONST(6753.6989374382601/8.0),
+ REAL_CONST(6765.7887976290967/8.0),
+ REAL_CONST(6777.8840611106634/8.0),
+ REAL_CONST(6789.9847230596661/8.0),
+ REAL_CONST(6802.0907786635626/8.0),
+ REAL_CONST(6814.2022231205201/8.0),
+ REAL_CONST(6826.3190516393797/8.0),
+ REAL_CONST(6838.4412594396181/8.0),
+ REAL_CONST(6850.5688417513074/8.0),
+ REAL_CONST(6862.701793815083/8.0),
+ REAL_CONST(6874.840110882099/8.0),
+ REAL_CONST(6886.9837882139991/8.0),
+ REAL_CONST(6899.1328210828724/8.0),
+ REAL_CONST(6911.2872047712199/8.0),
+ REAL_CONST(6923.4469345719199/8.0),
+ REAL_CONST(6935.6120057881863/8.0),
+ REAL_CONST(6947.7824137335365/8.0),
+ REAL_CONST(6959.9581537317536/8.0),
+ REAL_CONST(6972.1392211168532/8.0),
+ REAL_CONST(6984.3256112330409/8.0),
+ REAL_CONST(6996.5173194346862/8.0),
+ REAL_CONST(7008.7143410862773/8.0),
+ REAL_CONST(7020.9166715623942/8.0),
+ REAL_CONST(7033.1243062476678/8.0),
+ REAL_CONST(7045.3372405367481/8.0),
+ REAL_CONST(7057.5554698342685/8.0),
+ REAL_CONST(7069.7789895548103/8.0),
+ REAL_CONST(7082.0077951228714/8.0),
+ REAL_CONST(7094.2418819728273/8.0),
+ REAL_CONST(7106.4812455489018/8.0),
+ REAL_CONST(7118.7258813051285/8.0),
+ REAL_CONST(7130.9757847053224/8.0),
+ REAL_CONST(7143.2309512230404/8.0),
+ REAL_CONST(7155.4913763415516/8.0),
+ REAL_CONST(7167.7570555538041/8.0),
+ REAL_CONST(7180.0279843623894/8.0),
+ REAL_CONST(7192.3041582795131/8.0),
+ REAL_CONST(7204.5855728269571/8.0),
+ REAL_CONST(7216.8722235360519/8.0),
+ REAL_CONST(7229.1641059476406/8.0),
+ REAL_CONST(7241.4612156120484/8.0),
+ REAL_CONST(7253.7635480890503/8.0),
+ REAL_CONST(7266.0710989478375/8.0),
+ REAL_CONST(7278.3838637669869/8.0),
+ REAL_CONST(7290.7018381344296/8.0),
+ REAL_CONST(7303.0250176474174/8.0),
+ REAL_CONST(7315.3533979124932/8.0),
+ REAL_CONST(7327.6869745454596/8.0),
+ REAL_CONST(7340.0257431713462/8.0),
+ REAL_CONST(7352.3696994243801/8.0),
+ REAL_CONST(7364.7188389479543/8.0),
+ REAL_CONST(7377.0731573945968/8.0),
+ REAL_CONST(7389.4326504259407/8.0),
+ REAL_CONST(7401.7973137126937/8.0),
+ REAL_CONST(7414.1671429346061/8.0),
+ REAL_CONST(7426.5421337804428/8.0),
+ REAL_CONST(7438.922281947951/8.0),
+ REAL_CONST(7451.3075831438346/8.0),
+ REAL_CONST(7463.6980330837177/8.0),
+ REAL_CONST(7476.0936274921214/8.0),
+ REAL_CONST(7488.4943621024304/8.0),
+ REAL_CONST(7500.9002326568652/8.0),
+ REAL_CONST(7513.3112349064522/8.0),
+ REAL_CONST(7525.7273646109943/8.0),
+ REAL_CONST(7538.1486175390446/8.0),
+ REAL_CONST(7550.5749894678729/8.0),
+ REAL_CONST(7563.0064761834419/8.0),
+ REAL_CONST(7575.4430734803736/8.0),
+ REAL_CONST(7587.8847771619248/8.0),
+ REAL_CONST(7600.3315830399597/8.0),
+ REAL_CONST(7612.7834869349153/8.0),
+ REAL_CONST(7625.24048467578/8.0),
+ REAL_CONST(7637.7025721000637/8.0),
+ REAL_CONST(7650.1697450537677/8.0),
+ REAL_CONST(7662.6419993913596/8.0),
+ REAL_CONST(7675.1193309757446/8.0),
+ REAL_CONST(7687.6017356782404/8.0),
+ REAL_CONST(7700.0892093785433/8.0),
+ REAL_CONST(7712.5817479647112/8.0),
+ REAL_CONST(7725.079347333125/8.0),
+ REAL_CONST(7737.5820033884729/8.0),
+ REAL_CONST(7750.0897120437139/8.0),
+ REAL_CONST(7762.6024692200581/8.0),
+ REAL_CONST(7775.1202708469355/8.0),
+ REAL_CONST(7787.6431128619733/8.0),
+ REAL_CONST(7800.1709912109645/8.0),
+ REAL_CONST(7812.7039018478481/8.0),
+ REAL_CONST(7825.2418407346768/8.0),
+ REAL_CONST(7837.7848038415968/8.0),
+ REAL_CONST(7850.3327871468155/8.0),
+ REAL_CONST(7862.8857866365806/8.0),
+ REAL_CONST(7875.4437983051539/8.0),
+ REAL_CONST(7888.006818154784/8.0),
+ REAL_CONST(7900.5748421956796/8.0),
+ REAL_CONST(7913.1478664459901/8.0),
+ REAL_CONST(7925.725886931772/8.0),
+ REAL_CONST(7938.3088996869719/8.0),
+ REAL_CONST(7950.8969007533951/8.0),
+ REAL_CONST(7963.4898861806851/8.0),
+ REAL_CONST(7976.0878520262959/8.0),
+ REAL_CONST(7988.6907943554688/8.0),
+ REAL_CONST(8001.2987092412086/8.0),
+ REAL_CONST(8013.911592764257/8.0),
+ REAL_CONST(8026.5294410130691/8.0),
+ REAL_CONST(8039.1522500837891/8.0),
+ REAL_CONST(8051.7800160802271/8.0),
+ REAL_CONST(8064.412735113835/8.0),
+ REAL_CONST(8077.0504033036796/8.0),
+ REAL_CONST(8089.6930167764222/8.0),
+ REAL_CONST(8102.3405716662946/8.0),
+ REAL_CONST(8114.9930641150731/8.0),
+ REAL_CONST(8127.6504902720571/8.0),
+ REAL_CONST(8140.3128462940449/8.0),
+ REAL_CONST(8152.9801283453098/8.0),
+ REAL_CONST(8165.6523325975786/8.0),
+ REAL_CONST(8178.3294552300049/8.0),
+ REAL_CONST(8191.0114924291529/8.0),
+ REAL_CONST(8203.6984403889655/8.0),
+ REAL_CONST(8216.3902953107463/8.0),
+ REAL_CONST(8229.0870534031419/8.0),
+ REAL_CONST(8241.7887108821069/8.0),
+ REAL_CONST(8254.4952639708936/8.0),
+ REAL_CONST(8267.2067089000211/8.0),
+ REAL_CONST(8279.9230419072574/8.0),
+ REAL_CONST(8292.6442592375952/8.0),
+ REAL_CONST(8305.3703571432306/8.0),
+ REAL_CONST(8318.101331883543/8.0),
+ REAL_CONST(8330.8371797250657/8.0),
+ REAL_CONST(8343.577896941475/8.0),
+ REAL_CONST(8356.3234798135582/8.0),
+ REAL_CONST(8369.0739246291978/8.0),
+ REAL_CONST(8381.8292276833508/8.0),
+ REAL_CONST(8394.5893852780209/8.0),
+ REAL_CONST(8407.3543937222421/8.0),
+ REAL_CONST(8420.1242493320569/8.0),
+ REAL_CONST(8432.8989484304948/8.0),
+ REAL_CONST(8445.6784873475499/8.0),
+ REAL_CONST(8458.4628624201578/8.0),
+ REAL_CONST(8471.2520699921806/8.0),
+ REAL_CONST(8484.0461064143838/8.0),
+ REAL_CONST(8496.8449680444082/8.0),
+ REAL_CONST(8509.6486512467636/8.0),
+ REAL_CONST(8522.4571523927953/8.0),
+ REAL_CONST(8535.270467860666/8.0),
+ REAL_CONST(8548.0885940353437/8.0),
+ REAL_CONST(8560.9115273085663/8.0),
+ REAL_CONST(8573.7392640788403/8.0),
+ REAL_CONST(8586.5718007514006/8.0),
+ REAL_CONST(8599.4091337382069/8.0),
+ REAL_CONST(8612.2512594579148/8.0),
+ REAL_CONST(8625.0981743358552/8.0),
+ REAL_CONST(8637.9498748040205/8.0),
+ REAL_CONST(8650.8063573010386/8.0),
+ REAL_CONST(8663.6676182721567/8.0),
+ REAL_CONST(8676.533654169225/8.0),
+ REAL_CONST(8689.4044614506638/8.0),
+ REAL_CONST(8702.2800365814601/8.0),
+ REAL_CONST(8715.1603760331418/8.0),
+ REAL_CONST(8728.0454762837508/8.0),
+ REAL_CONST(8740.9353338178389/8.0),
+ REAL_CONST(8753.8299451264356/8.0),
+ REAL_CONST(8766.7293067070332/8.0),
+ REAL_CONST(8779.6334150635721/8.0),
+ REAL_CONST(8792.5422667064158/8.0),
+ REAL_CONST(8805.4558581523324/8.0),
+ REAL_CONST(8818.3741859244819/8.0),
+ REAL_CONST(8831.2972465523908/8.0),
+ REAL_CONST(8844.2250365719356/8.0),
+ REAL_CONST(8857.1575525253265/8.0),
+ REAL_CONST(8870.0947909610859/8.0),
+ REAL_CONST(8883.0367484340295/8.0),
+ REAL_CONST(8895.9834215052524/8.0),
+ REAL_CONST(8908.934806742107/8.0),
+ REAL_CONST(8921.8909007181846/8.0),
+ REAL_CONST(8934.8517000132997/8.0),
+ REAL_CONST(8947.817201213471/8.0),
+ REAL_CONST(8960.7874009109/8.0),
+ REAL_CONST(8973.7622957039603/8.0),
+ REAL_CONST(8986.7418821971733/8.0),
+ REAL_CONST(8999.7261570011924/8.0),
+ REAL_CONST(9012.7151167327884/8.0),
+ REAL_CONST(9025.7087580148236/8.0),
+ REAL_CONST(9038.7070774762469/8.0),
+ REAL_CONST(9051.7100717520643/8.0),
+ REAL_CONST(9064.7177374833282/8.0),
+ REAL_CONST(9077.7300713171153/8.0),
+ REAL_CONST(9090.7470699065179/8.0),
+ REAL_CONST(9103.7687299106146/8.0),
+ REAL_CONST(9116.7950479944648/8.0),
+ REAL_CONST(9129.8260208290812/8.0),
+ REAL_CONST(9142.8616450914233/8.0),
+ REAL_CONST(9155.9019174643727/8.0),
+ REAL_CONST(9168.9468346367157/8.0),
+ REAL_CONST(9181.9963933031358/8.0),
+ REAL_CONST(9195.0505901641845/8.0),
+ REAL_CONST(9208.1094219262741/8.0),
+ REAL_CONST(9221.1728853016557/8.0),
+ REAL_CONST(9234.240977008405/8.0),
+ REAL_CONST(9247.3136937704076/8.0),
+ REAL_CONST(9260.3910323173386/8.0),
+ REAL_CONST(9273.472989384647/8.0),
+ REAL_CONST(9286.5595617135423/8.0),
+ REAL_CONST(9299.6507460509747/8.0),
+ REAL_CONST(9312.7465391496207/8.0),
+ REAL_CONST(9325.8469377678684/8.0),
+ REAL_CONST(9338.9519386698012/8.0),
+ REAL_CONST(9352.0615386251757/8.0),
+ REAL_CONST(9365.1757344094131/8.0),
+ REAL_CONST(9378.2945228035842/8.0),
+ REAL_CONST(9391.4179005943843/8.0),
+ REAL_CONST(9404.5458645741273/8.0),
+ REAL_CONST(9417.6784115407263/8.0),
+ REAL_CONST(9430.8155382976747/8.0),
+ REAL_CONST(9443.9572416540359/8.0),
+ REAL_CONST(9457.1035184244265/8.0),
+ REAL_CONST(9470.2543654290002/8.0),
+ REAL_CONST(9483.4097794934296/8.0),
+ REAL_CONST(9496.5697574488931/8.0),
+ REAL_CONST(9509.7342961320664/8.0),
+ REAL_CONST(9522.9033923850911/8.0),
+ REAL_CONST(9536.0770430555804/8.0),
+ REAL_CONST(9549.2552449965824/8.0),
+ REAL_CONST(9562.4379950665825/8.0),
+ REAL_CONST(9575.6252901294793/8.0),
+ REAL_CONST(9588.8171270545736/8.0),
+ REAL_CONST(9602.0135027165488/8.0),
+ REAL_CONST(9615.2144139954635/8.0),
+ REAL_CONST(9628.4198577767274/8.0),
+ REAL_CONST(9641.629830951093/8.0),
+ REAL_CONST(9654.844330414644/8.0),
+ REAL_CONST(9668.0633530687719/8.0),
+ REAL_CONST(9681.286895820167/8.0),
+ REAL_CONST(9694.5149555808002/8.0),
+ REAL_CONST(9707.7475292679192/8.0),
+ REAL_CONST(9720.9846138040157/8.0),
+ REAL_CONST(9734.2262061168276/8.0),
+ REAL_CONST(9747.4723031393187/8.0),
+ REAL_CONST(9760.7229018096641/8.0),
+ REAL_CONST(9773.9779990712323/8.0),
+ REAL_CONST(9787.2375918725811/8.0),
+ REAL_CONST(9800.5016771674327/8.0),
+ REAL_CONST(9813.7702519146696/8.0),
+ REAL_CONST(9827.0433130783094/8.0),
+ REAL_CONST(9840.3208576275028/8.0),
+ REAL_CONST(9853.602882536512/8.0),
+ REAL_CONST(9866.8893847846994/8.0),
+ REAL_CONST(9880.1803613565116/8.0),
+ REAL_CONST(9893.4758092414686/8.0),
+ REAL_CONST(9906.7757254341523/8.0),
+ REAL_CONST(9920.0801069341851/8.0),
+ REAL_CONST(9933.3889507462245/8.0),
+ REAL_CONST(9946.7022538799429/8.0),
+ REAL_CONST(9960.0200133500221/8.0),
+ REAL_CONST(9973.3422261761298/8.0),
+ REAL_CONST(9986.6688893829159/8.0),
+ REAL_CONST(9999.9999999999945/8.0),
+ REAL_CONST(10013.335555061929/8.0),
+ REAL_CONST(10026.675551608221/8.0),
+ REAL_CONST(10040.019986683301/8.0),
+ REAL_CONST(10053.368857336509/8.0),
+ REAL_CONST(10066.722160622081/8.0),
+ REAL_CONST(10080.079893599144/8.0),
+ REAL_CONST(10093.442053331697/8.0),
+ REAL_CONST(10106.808636888598/8.0),
+ REAL_CONST(10120.179641343551/8.0),
+ REAL_CONST(10133.555063775095/8.0),
+ REAL_CONST(10146.934901266595/8.0),
+ REAL_CONST(10160.31915090622/8.0),
+ REAL_CONST(10173.707809786936/8.0),
+ REAL_CONST(10187.100875006496/8.0),
+ REAL_CONST(10200.498343667417/8.0),
+ REAL_CONST(10213.900212876984/8.0),
+ REAL_CONST(10227.306479747222/8.0),
+ REAL_CONST(10240.717141394889/8.0),
+ REAL_CONST(10254.132194941467/8.0),
+ REAL_CONST(10267.551637513146/8.0),
+ REAL_CONST(10280.975466240814/8.0),
+ REAL_CONST(10294.40367826004/8.0),
+ REAL_CONST(10307.836270711066/8.0),
+ REAL_CONST(10321.273240738796/8.0),
+ REAL_CONST(10334.71458549278/8.0)
};
#endif
Index: is.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/is.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- is.c 3 Oct 2003 22:22:27 -0000 1.2
+++ is.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -47,7 +47,7 @@
uint16_t frame_len)
{
uint8_t g, sfb, b;
- uint16_t i, k;
+ uint16_t i;
#ifndef FIXED_POINT
real_t scale;
#else
@@ -76,26 +76,25 @@
#ifndef FIXED_POINT
scale = (real_t)pow(0.5, (0.25*icsr->scale_factors[g][sfb]));
#else
- exp = icsr->scale_factors[g][sfb] / 4;
- frac = icsr->scale_factors[g][sfb] % 4;
+ exp = icsr->scale_factors[g][sfb] >> 2;
+ frac = icsr->scale_factors[g][sfb] & 3;
#endif
/* Scale from left to right channel,
do not touch left channel */
for (i = icsr->swb_offset[sfb]; i < icsr->swb_offset[sfb+1]; i++)
{
- k = (group*nshort)+i;
#ifndef FIXED_POINT
- r_spec[k] = MUL(l_spec[k], scale);
+ r_spec[(group*nshort)+i] = MUL_R(l_spec[(group*nshort)+i], scale);
#else
if (exp < 0)
- r_spec[k] = l_spec[k] << -exp;
+ r_spec[(group*nshort)+i] = l_spec[(group*nshort)+i] << -exp;
else
- r_spec[k] = l_spec[k] >> exp;
- r_spec[k] = MUL_R_C(r_spec[k], pow05_table[frac + 3]);
+ r_spec[(group*nshort)+i] = l_spec[(group*nshort)+i] >> exp;
+ r_spec[(group*nshort)+i] = MUL_C(r_spec[(group*nshort)+i], pow05_table[frac + 3]);
#endif
if (is_intensity(icsr, g, sfb) != invert_intensity(ics, g, sfb))
- r_spec[k] = -r_spec[k];
+ r_spec[(group*nshort)+i] = -r_spec[(group*nshort)+i];
}
}
}
Index: is.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/is.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- is.h 3 Oct 2003 22:22:27 -0000 1.2
+++ is.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: kbd_win.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/kbd_win.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- kbd_win.h 3 Oct 2003 22:22:27 -0000 1.2
+++ kbd_win.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,2252 +37,2256 @@
#pragma warning(disable:4244)
#endif
-real_t kbd_long_1024[] =
+ALIGN static const real_t kbd_long_1024[] =
{
- COEF_CONST(0.00029256153896361),
- COEF_CONST(0.00042998567353047),
- COEF_CONST(0.00054674074589540),
- COEF_CONST(0.00065482304299792),
- COEF_CONST(0.00075870195068747),
- COEF_CONST(0.00086059331713336),
- COEF_CONST(0.00096177541439010),
- COEF_CONST(0.0010630609410878),
- COEF_CONST(0.0011650036308132),
- COEF_CONST(0.0012680012194148),
- COEF_CONST(0.0013723517232956),
- COEF_CONST(0.0014782864109136),
- COEF_CONST(0.0015859901976719),
- COEF_CONST(0.0016956148252373),
- COEF_CONST(0.0018072876903517),
- COEF_CONST(0.0019211179405514),
- COEF_CONST(0.0020372007924215),
- COEF_CONST(0.0021556206591754),
- COEF_CONST(0.0022764534599614),
- COEF_CONST(0.0023997683540995),
- COEF_CONST(0.0025256290631156),
- COEF_CONST(0.0026540948920831),
- COEF_CONST(0.0027852215281403),
- COEF_CONST(0.0029190616715331),
- COEF_CONST(0.0030556655443223),
- COEF_CONST(0.0031950812943391),
- COEF_CONST(0.0033373553240392),
- COEF_CONST(0.0034825325586930),
- COEF_CONST(0.0036306566699199),
- COEF_CONST(0.0037817702604646),
- COEF_CONST(0.0039359150179719),
- COEF_CONST(0.0040931318437260),
- COEF_CONST(0.0042534609610026),
- COEF_CONST(0.0044169420066964),
- COEF_CONST(0.0045836141091341),
- COEF_CONST(0.0047535159544086),
- COEF_CONST(0.0049266858431214),
- COEF_CONST(0.0051031617390698),
- COEF_CONST(0.0052829813111335),
- COEF_CONST(0.0054661819693975),
- COEF_CONST(0.0056528008963682),
- COEF_CONST(0.0058428750739943),
- COEF_CONST(0.0060364413070882),
- COEF_CONST(0.0062335362436492),
- COEF_CONST(0.0064341963925079),
- COEF_CONST(0.0066384581386503),
- COEF_CONST(0.0068463577565218),
- COEF_CONST(0.0070579314215715),
- COEF_CONST(0.0072732152202559),
- COEF_CONST(0.0074922451586909),
- COEF_CONST(0.0077150571701162),
- COEF_CONST(0.0079416871213115),
- COEF_CONST(0.0081721708180857),
- COEF_CONST(0.0084065440099458),
- COEF_CONST(0.0086448423940363),
- COEF_CONST(0.0088871016184291),
- COEF_CONST(0.0091333572848345),
- COEF_CONST(0.0093836449507939),
- COEF_CONST(0.0096380001314086),
- COEF_CONST(0.0098964583006517),
- COEF_CONST(0.010159054892306),
- COEF_CONST(0.010425825300561),
- COEF_CONST(0.010696804880310),
- COEF_CONST(0.010972028947167),
- COEF_CONST(0.011251532777236),
- COEF_CONST(0.011535351606646),
- COEF_CONST(0.011823520630897),
- COEF_CONST(0.012116075003993),
- COEF_CONST(0.012413049837429),
- COEF_CONST(0.012714480198999),
- COEF_CONST(0.013020401111478),
- COEF_CONST(0.013330847551161),
- COEF_CONST(0.013645854446288),
- COEF_CONST(0.013965456675352),
- COEF_CONST(0.014289689065314),
- COEF_CONST(0.014618586389712),
- COEF_CONST(0.014952183366697),
- COEF_CONST(0.015290514656976),
- COEF_CONST(0.015633614861688),
- COEF_CONST(0.015981518520214),
- COEF_CONST(0.016334260107915),
- COEF_CONST(0.016691874033817),
- COEF_CONST(0.017054394638241),
- COEF_CONST(0.017421856190380),
- COEF_CONST(0.017794292885832),
- COEF_CONST(0.018171738844085),
- COEF_CONST(0.018554228105962),
- COEF_CONST(0.018941794631032),
- COEF_CONST(0.019334472294980),
- COEF_CONST(0.019732294886947),
- COEF_CONST(0.020135296106839),
- COEF_CONST(0.020543509562604),
- COEF_CONST(0.020956968767488),
- COEF_CONST(0.021375707137257),
- COEF_CONST(0.021799757987407),
- COEF_CONST(0.022229154530343),
- COEF_CONST(0.022663929872540),
- COEF_CONST(0.023104117011689),
- COEF_CONST(0.023549748833816),
- COEF_CONST(0.024000858110398),
- COEF_CONST(0.024457477495451),
- COEF_CONST(0.024919639522613),
- COEF_CONST(0.025387376602207),
- COEF_CONST(0.025860721018295),
- COEF_CONST(0.026339704925726),
- COEF_CONST(0.026824360347160),
- COEF_CONST(0.027314719170100),
- COEF_CONST(0.027810813143900),
- COEF_CONST(0.028312673876775),
- COEF_CONST(0.028820332832801),
- COEF_CONST(0.029333821328905),
- COEF_CONST(0.029853170531859),
- COEF_CONST(0.030378411455255),
- COEF_CONST(0.030909574956490),
- COEF_CONST(0.031446691733739),
- COEF_CONST(0.031989792322926),
- COEF_CONST(0.032538907094693),
- COEF_CONST(0.033094066251369),
- COEF_CONST(0.033655299823935),
- COEF_CONST(0.034222637668991),
- COEF_CONST(0.034796109465717),
- COEF_CONST(0.035375744712844),
- COEF_CONST(0.035961572725616),
- COEF_CONST(0.036553622632758),
- COEF_CONST(0.037151923373446),
- COEF_CONST(0.037756503694277),
- COEF_CONST(0.038367392146243),
- COEF_CONST(0.038984617081711),
- COEF_CONST(0.039608206651398),
- COEF_CONST(0.040238188801359),
- COEF_CONST(0.040874591269976),
- COEF_CONST(0.041517441584950),
- COEF_CONST(0.042166767060301),
- COEF_CONST(0.042822594793376),
- COEF_CONST(0.043484951661852),
- COEF_CONST(0.044153864320760),
- COEF_CONST(0.044829359199509),
- COEF_CONST(0.045511462498913),
- COEF_CONST(0.046200200188234),
- COEF_CONST(0.046895598002228),
- COEF_CONST(0.047597681438201),
- COEF_CONST(0.048306475753074),
- COEF_CONST(0.049022005960455),
- COEF_CONST(0.049744296827725),
- COEF_CONST(0.050473372873129),
- COEF_CONST(0.051209258362879),
- COEF_CONST(0.051951977308273),
- COEF_CONST(0.052701553462813),
- COEF_CONST(0.053458010319350),
- COEF_CONST(0.054221371107223),
- COEF_CONST(0.054991658789428),
- COEF_CONST(0.055768896059787),
- COEF_CONST(0.056553105340134),
- COEF_CONST(0.057344308777513),
- COEF_CONST(0.058142528241393),
- COEF_CONST(0.058947785320893),
- COEF_CONST(0.059760101322019),
- COEF_CONST(0.060579497264926),
- COEF_CONST(0.061405993881180),
- COEF_CONST(0.062239611611049),
- COEF_CONST(0.063080370600799),
- COEF_CONST(0.063928290700012),
- COEF_CONST(0.064783391458919),
- COEF_CONST(0.065645692125747),
- COEF_CONST(0.066515211644086),
- COEF_CONST(0.067391968650269),
- COEF_CONST(0.068275981470777),
- COEF_CONST(0.069167268119652),
- COEF_CONST(0.070065846295935),
- COEF_CONST(0.070971733381121),
- COEF_CONST(0.071884946436630),
- COEF_CONST(0.072805502201299),
- COEF_CONST(0.073733417088896),
- COEF_CONST(0.074668707185649),
- COEF_CONST(0.075611388247794),
- COEF_CONST(0.076561475699152),
- COEF_CONST(0.077518984628715),
- COEF_CONST(0.078483929788261),
- COEF_CONST(0.079456325589986),
- COEF_CONST(0.080436186104162),
- COEF_CONST(0.081423525056808),
- COEF_CONST(0.082418355827392),
- COEF_CONST(0.083420691446553),
- COEF_CONST(0.084430544593841),
- COEF_CONST(0.085447927595483),
- COEF_CONST(0.086472852422178),
- COEF_CONST(0.087505330686900),
- COEF_CONST(0.088545373642744),
- COEF_CONST(0.089592992180780),
- COEF_CONST(0.090648196827937),
- COEF_CONST(0.091710997744919),
- COEF_CONST(0.092781404724131),
- COEF_CONST(0.093859427187640),
- COEF_CONST(0.094945074185163),
- COEF_CONST(0.096038354392069),
- COEF_CONST(0.097139276107423),
- COEF_CONST(0.098247847252041),
- COEF_CONST(0.099364075366580),
- COEF_CONST(0.10048796760965),
- COEF_CONST(0.10161953075597),
- COEF_CONST(0.10275877119451),
- COEF_CONST(0.10390569492671),
- COEF_CONST(0.10506030756469),
- COEF_CONST(0.10622261432949),
- COEF_CONST(0.10739262004941),
- COEF_CONST(0.10857032915821),
- COEF_CONST(0.10975574569357),
- COEF_CONST(0.11094887329534),
- COEF_CONST(0.11214971520402),
- COEF_CONST(0.11335827425914),
- COEF_CONST(0.11457455289772),
- COEF_CONST(0.11579855315274),
- COEF_CONST(0.11703027665170),
- COEF_CONST(0.11826972461510),
- COEF_CONST(0.11951689785504),
- COEF_CONST(0.12077179677383),
- COEF_CONST(0.12203442136263),
- COEF_CONST(0.12330477120008),
- COEF_CONST(0.12458284545102),
- COEF_CONST(0.12586864286523),
- COEF_CONST(0.12716216177615),
- COEF_CONST(0.12846340009971),
- COEF_CONST(0.12977235533312),
- COEF_CONST(0.13108902455375),
- COEF_CONST(0.13241340441801),
- COEF_CONST(0.13374549116025),
- COEF_CONST(0.13508528059173),
- COEF_CONST(0.13643276809961),
- COEF_CONST(0.13778794864595),
- COEF_CONST(0.13915081676677),
- COEF_CONST(0.14052136657114),
- COEF_CONST(0.14189959174027),
- COEF_CONST(0.14328548552671),
- COEF_CONST(0.14467904075349),
- COEF_CONST(0.14608024981336),
- COEF_CONST(0.14748910466804),
- COEF_CONST(0.14890559684750),
- COEF_CONST(0.15032971744929),
- COEF_CONST(0.15176145713790),
- COEF_CONST(0.15320080614414),
- COEF_CONST(0.15464775426459),
- COEF_CONST(0.15610229086100),
- COEF_CONST(0.15756440485987),
- COEF_CONST(0.15903408475193),
- COEF_CONST(0.16051131859170),
- COEF_CONST(0.16199609399712),
- COEF_CONST(0.16348839814917),
- COEF_CONST(0.16498821779156),
- COEF_CONST(0.16649553923042),
- COEF_CONST(0.16801034833404),
- COEF_CONST(0.16953263053270),
- COEF_CONST(0.17106237081842),
- COEF_CONST(0.17259955374484),
- COEF_CONST(0.17414416342714),
- COEF_CONST(0.17569618354193),
- COEF_CONST(0.17725559732720),
- COEF_CONST(0.17882238758238),
- COEF_CONST(0.18039653666830),
- COEF_CONST(0.18197802650733),
- COEF_CONST(0.18356683858343),
- COEF_CONST(0.18516295394233),
- COEF_CONST(0.18676635319174),
- COEF_CONST(0.18837701650148),
- COEF_CONST(0.18999492360384),
- COEF_CONST(0.19162005379380),
- COEF_CONST(0.19325238592940),
- COEF_CONST(0.19489189843209),
- COEF_CONST(0.19653856928714),
- COEF_CONST(0.19819237604409),
- COEF_CONST(0.19985329581721),
- COEF_CONST(0.20152130528605),
- COEF_CONST(0.20319638069594),
- COEF_CONST(0.20487849785865),
- COEF_CONST(0.20656763215298),
- COEF_CONST(0.20826375852540),
- COEF_CONST(0.20996685149083),
- COEF_CONST(0.21167688513330),
- COEF_CONST(0.21339383310678),
- COEF_CONST(0.21511766863598),
- COEF_CONST(0.21684836451719),
- COEF_CONST(0.21858589311922),
- COEF_CONST(0.22033022638425),
- COEF_CONST(0.22208133582887),
- COEF_CONST(0.22383919254503),
- COEF_CONST(0.22560376720111),
- COEF_CONST(0.22737503004300),
- COEF_CONST(0.22915295089517),
- COEF_CONST(0.23093749916189),
- COEF_CONST(0.23272864382838),
- COEF_CONST(0.23452635346201),
- COEF_CONST(0.23633059621364),
- COEF_CONST(0.23814133981883),
- COEF_CONST(0.23995855159925),
- COEF_CONST(0.24178219846403),
- COEF_CONST(0.24361224691114),
- COEF_CONST(0.24544866302890),
- COEF_CONST(0.24729141249740),
- COEF_CONST(0.24914046059007),
- COEF_CONST(0.25099577217522),
- COEF_CONST(0.25285731171763),
- COEF_CONST(0.25472504328019),
- COEF_CONST(0.25659893052556),
- COEF_CONST(0.25847893671788),
- COEF_CONST(0.26036502472451),
- COEF_CONST(0.26225715701781),
- COEF_CONST(0.26415529567692),
- COEF_CONST(0.26605940238966),
- COEF_CONST(0.26796943845439),
- COEF_CONST(0.26988536478190),
- COEF_CONST(0.27180714189742),
- COEF_CONST(0.27373472994256),
- COEF_CONST(0.27566808867736),
- COEF_CONST(0.27760717748238),
- COEF_CONST(0.27955195536071),
- COEF_CONST(0.28150238094021),
- COEF_CONST(0.28345841247557),
- COEF_CONST(0.28542000785059),
- COEF_CONST(0.28738712458038),
- COEF_CONST(0.28935971981364),
- COEF_CONST(0.29133775033492),
- COEF_CONST(0.29332117256704),
- COEF_CONST(0.29530994257338),
- COEF_CONST(0.29730401606034),
- COEF_CONST(0.29930334837974),
- COEF_CONST(0.30130789453132),
- COEF_CONST(0.30331760916521),
- COEF_CONST(0.30533244658452),
- COEF_CONST(0.30735236074785),
- COEF_CONST(0.30937730527195),
- COEF_CONST(0.31140723343430),
- COEF_CONST(0.31344209817583),
- COEF_CONST(0.31548185210356),
- COEF_CONST(0.31752644749341),
- COEF_CONST(0.31957583629288),
- COEF_CONST(0.32162997012390),
- COEF_CONST(0.32368880028565),
- COEF_CONST(0.32575227775738),
- COEF_CONST(0.32782035320134),
- COEF_CONST(0.32989297696566),
- COEF_CONST(0.33197009908736),
- COEF_CONST(0.33405166929523),
- COEF_CONST(0.33613763701295),
- COEF_CONST(0.33822795136203),
- COEF_CONST(0.34032256116495),
- COEF_CONST(0.34242141494820),
- COEF_CONST(0.34452446094547),
- COEF_CONST(0.34663164710072),
- COEF_CONST(0.34874292107143),
- COEF_CONST(0.35085823023181),
- COEF_CONST(0.35297752167598),
- COEF_CONST(0.35510074222129),
- COEF_CONST(0.35722783841160),
- COEF_CONST(0.35935875652060),
- COEF_CONST(0.36149344255514),
- COEF_CONST(0.36363184225864),
- COEF_CONST(0.36577390111444),
- COEF_CONST(0.36791956434930),
- COEF_CONST(0.37006877693676),
- COEF_CONST(0.37222148360070),
- COEF_CONST(0.37437762881878),
- COEF_CONST(0.37653715682603),
- COEF_CONST(0.37870001161834),
- COEF_CONST(0.38086613695607),
- COEF_CONST(0.38303547636766),
- COEF_CONST(0.38520797315322),
- COEF_CONST(0.38738357038821),
- COEF_CONST(0.38956221092708),
- COEF_CONST(0.39174383740701),
- COEF_CONST(0.39392839225157),
- COEF_CONST(0.39611581767449),
- COEF_CONST(0.39830605568342),
- COEF_CONST(0.40049904808370),
- COEF_CONST(0.40269473648218),
- COEF_CONST(0.40489306229101),
- COEF_CONST(0.40709396673153),
- COEF_CONST(0.40929739083810),
- COEF_CONST(0.41150327546197),
- COEF_CONST(0.41371156127524),
- COEF_CONST(0.41592218877472),
- COEF_CONST(0.41813509828594),
- COEF_CONST(0.42035022996702),
- COEF_CONST(0.42256752381274),
- COEF_CONST(0.42478691965848),
- COEF_CONST(0.42700835718423),
- COEF_CONST(0.42923177591866),
- COEF_CONST(0.43145711524314),
- COEF_CONST(0.43368431439580),
- COEF_CONST(0.43591331247564),
- COEF_CONST(0.43814404844658),
- COEF_CONST(0.44037646114161),
- COEF_CONST(0.44261048926688),
- COEF_CONST(0.44484607140589),
- COEF_CONST(0.44708314602359),
- COEF_CONST(0.44932165147057),
- COEF_CONST(0.45156152598727),
- COEF_CONST(0.45380270770813),
- COEF_CONST(0.45604513466581),
- COEF_CONST(0.45828874479543),
- COEF_CONST(0.46053347593880),
- COEF_CONST(0.46277926584861),
- COEF_CONST(0.46502605219277),
- COEF_CONST(0.46727377255861),
- COEF_CONST(0.46952236445718),
- COEF_CONST(0.47177176532752),
- COEF_CONST(0.47402191254100),
- COEF_CONST(0.47627274340557),
- COEF_CONST(0.47852419517009),
- COEF_CONST(0.48077620502869),
- COEF_CONST(0.48302871012505),
- COEF_CONST(0.48528164755674),
- COEF_CONST(0.48753495437962),
- COEF_CONST(0.48978856761212),
- COEF_CONST(0.49204242423966),
- COEF_CONST(0.49429646121898),
- COEF_CONST(0.49655061548250),
- COEF_CONST(0.49880482394273),
- COEF_CONST(0.50105902349665),
- COEF_CONST(0.50331315103004),
- COEF_CONST(0.50556714342194),
- COEF_CONST(0.50782093754901),
- COEF_CONST(0.51007447028990),
- COEF_CONST(0.51232767852971),
- COEF_CONST(0.51458049916433),
- COEF_CONST(0.51683286910489),
- COEF_CONST(0.51908472528213),
- COEF_CONST(0.52133600465083),
- COEF_CONST(0.52358664419420),
- COEF_CONST(0.52583658092832),
- COEF_CONST(0.52808575190648),
- COEF_CONST(0.53033409422367),
- COEF_CONST(0.53258154502092),
- COEF_CONST(0.53482804148974),
- COEF_CONST(0.53707352087652),
- COEF_CONST(0.53931792048690),
- COEF_CONST(0.54156117769021),
- COEF_CONST(0.54380322992385),
- COEF_CONST(0.54604401469766),
- COEF_CONST(0.54828346959835),
- COEF_CONST(0.55052153229384),
- COEF_CONST(0.55275814053768),
- COEF_CONST(0.55499323217338),
- COEF_CONST(0.55722674513883),
- COEF_CONST(0.55945861747062),
- COEF_CONST(0.56168878730842),
- COEF_CONST(0.56391719289930),
- COEF_CONST(0.56614377260214),
- COEF_CONST(0.56836846489188),
- COEF_CONST(0.57059120836390),
- COEF_CONST(0.57281194173835),
- COEF_CONST(0.57503060386439),
- COEF_CONST(0.57724713372458),
- COEF_CONST(0.57946147043912),
- COEF_CONST(0.58167355327012),
- COEF_CONST(0.58388332162591),
- COEF_CONST(0.58609071506528),
- COEF_CONST(0.58829567330173),
- COEF_CONST(0.59049813620770),
- COEF_CONST(0.59269804381879),
- COEF_CONST(0.59489533633802),
- COEF_CONST(0.59708995413996),
- COEF_CONST(0.59928183777495),
- COEF_CONST(0.60147092797329),
- COEF_CONST(0.60365716564937),
- COEF_CONST(0.60584049190582),
- COEF_CONST(0.60802084803764),
- COEF_CONST(0.61019817553632),
- COEF_CONST(0.61237241609393),
- COEF_CONST(0.61454351160718),
- COEF_CONST(0.61671140418155),
- COEF_CONST(0.61887603613527),
- COEF_CONST(0.62103735000336),
- COEF_CONST(0.62319528854167),
- COEF_CONST(0.62534979473088),
- COEF_CONST(0.62750081178042),
- COEF_CONST(0.62964828313250),
- COEF_CONST(0.63179215246597),
- COEF_CONST(0.63393236370030),
- COEF_CONST(0.63606886099946),
- COEF_CONST(0.63820158877577),
- COEF_CONST(0.64033049169379),
- COEF_CONST(0.64245551467413),
- COEF_CONST(0.64457660289729),
- COEF_CONST(0.64669370180740),
- COEF_CONST(0.64880675711607),
- COEF_CONST(0.65091571480603),
- COEF_CONST(0.65302052113494),
- COEF_CONST(0.65512112263906),
- COEF_CONST(0.65721746613689),
- COEF_CONST(0.65930949873289),
- COEF_CONST(0.66139716782102),
- COEF_CONST(0.66348042108842),
- COEF_CONST(0.66555920651892),
- COEF_CONST(0.66763347239664),
- COEF_CONST(0.66970316730947),
- COEF_CONST(0.67176824015260),
- COEF_CONST(0.67382864013196),
- COEF_CONST(0.67588431676768),
- COEF_CONST(0.67793521989751),
- COEF_CONST(0.67998129968017),
- COEF_CONST(0.68202250659876),
- COEF_CONST(0.68405879146403),
- COEF_CONST(0.68609010541774),
- COEF_CONST(0.68811639993588),
- COEF_CONST(0.69013762683195),
- COEF_CONST(0.69215373826012),
- COEF_CONST(0.69416468671849),
- COEF_CONST(0.69617042505214),
- COEF_CONST(0.69817090645634),
- COEF_CONST(0.70016608447958),
- COEF_CONST(0.70215591302664),
- COEF_CONST(0.70414034636163),
- COEF_CONST(0.70611933911096),
- COEF_CONST(0.70809284626630),
- COEF_CONST(0.71006082318751),
- COEF_CONST(0.71202322560554),
- COEF_CONST(0.71398000962530),
- COEF_CONST(0.71593113172842),
- COEF_CONST(0.71787654877613),
- COEF_CONST(0.71981621801195),
- COEF_CONST(0.72175009706445),
- COEF_CONST(0.72367814394990),
- COEF_CONST(0.72560031707496),
- COEF_CONST(0.72751657523927),
- COEF_CONST(0.72942687763803),
- COEF_CONST(0.73133118386457),
- COEF_CONST(0.73322945391280),
- COEF_CONST(0.73512164817975),
- COEF_CONST(0.73700772746796),
- COEF_CONST(0.73888765298787),
- COEF_CONST(0.74076138636020),
- COEF_CONST(0.74262888961827),
- COEF_CONST(0.74449012521027),
- COEF_CONST(0.74634505600152),
- COEF_CONST(0.74819364527663),
- COEF_CONST(0.75003585674175),
- COEF_CONST(0.75187165452661),
- COEF_CONST(0.75370100318668),
- COEF_CONST(0.75552386770515),
- COEF_CONST(0.75734021349500),
- COEF_CONST(0.75915000640095),
- COEF_CONST(0.76095321270137),
- COEF_CONST(0.76274979911019),
- COEF_CONST(0.76453973277875),
- COEF_CONST(0.76632298129757),
- COEF_CONST(0.76809951269819),
- COEF_CONST(0.76986929545481),
- COEF_CONST(0.77163229848604),
- COEF_CONST(0.77338849115651),
- COEF_CONST(0.77513784327849),
- COEF_CONST(0.77688032511340),
- COEF_CONST(0.77861590737340),
- COEF_CONST(0.78034456122283),
- COEF_CONST(0.78206625827961),
- COEF_CONST(0.78378097061667),
- COEF_CONST(0.78548867076330),
- COEF_CONST(0.78718933170643),
- COEF_CONST(0.78888292689189),
- COEF_CONST(0.79056943022564),
- COEF_CONST(0.79224881607494),
- COEF_CONST(0.79392105926949),
- COEF_CONST(0.79558613510249),
- COEF_CONST(0.79724401933170),
- COEF_CONST(0.79889468818046),
- COEF_CONST(0.80053811833858),
- COEF_CONST(0.80217428696334),
- COEF_CONST(0.80380317168028),
- COEF_CONST(0.80542475058405),
- COEF_CONST(0.80703900223920),
- COEF_CONST(0.80864590568089),
- COEF_CONST(0.81024544041560),
- COEF_CONST(0.81183758642175),
- COEF_CONST(0.81342232415032),
- COEF_CONST(0.81499963452540),
- COEF_CONST(0.81656949894467),
- COEF_CONST(0.81813189927991),
- COEF_CONST(0.81968681787738),
- COEF_CONST(0.82123423755821),
- COEF_CONST(0.82277414161874),
- COEF_CONST(0.82430651383076),
- COEF_CONST(0.82583133844180),
- COEF_CONST(0.82734860017528),
- COEF_CONST(0.82885828423070),
- COEF_CONST(0.83036037628369),
- COEF_CONST(0.83185486248609),
- COEF_CONST(0.83334172946597),
- COEF_CONST(0.83482096432759),
- COEF_CONST(0.83629255465130),
- COEF_CONST(0.83775648849344),
- COEF_CONST(0.83921275438615),
- COEF_CONST(0.84066134133716),
- COEF_CONST(0.84210223882952),
- COEF_CONST(0.84353543682130),
- COEF_CONST(0.84496092574524),
- COEF_CONST(0.84637869650833),
- COEF_CONST(0.84778874049138),
- COEF_CONST(0.84919104954855),
- COEF_CONST(0.85058561600677),
- COEF_CONST(0.85197243266520),
- COEF_CONST(0.85335149279457),
- COEF_CONST(0.85472279013653),
- COEF_CONST(0.85608631890295),
- COEF_CONST(0.85744207377513),
- COEF_CONST(0.85879004990298),
- COEF_CONST(0.86013024290422),
- COEF_CONST(0.86146264886346),
- COEF_CONST(0.86278726433124),
- COEF_CONST(0.86410408632306),
- COEF_CONST(0.86541311231838),
- COEF_CONST(0.86671434025950),
- COEF_CONST(0.86800776855046),
- COEF_CONST(0.86929339605590),
- COEF_CONST(0.87057122209981),
- COEF_CONST(0.87184124646433),
- COEF_CONST(0.87310346938840),
- COEF_CONST(0.87435789156650),
- COEF_CONST(0.87560451414719),
- COEF_CONST(0.87684333873173),
- COEF_CONST(0.87807436737261),
- COEF_CONST(0.87929760257204),
- COEF_CONST(0.88051304728038),
- COEF_CONST(0.88172070489456),
- COEF_CONST(0.88292057925645),
- COEF_CONST(0.88411267465117),
- COEF_CONST(0.88529699580537),
- COEF_CONST(0.88647354788545),
- COEF_CONST(0.88764233649580),
- COEF_CONST(0.88880336767692),
- COEF_CONST(0.88995664790351),
- COEF_CONST(0.89110218408260),
- COEF_CONST(0.89223998355154),
- COEF_CONST(0.89337005407600),
- COEF_CONST(0.89449240384793),
- COEF_CONST(0.89560704148345),
- COEF_CONST(0.89671397602074),
- COEF_CONST(0.89781321691786),
- COEF_CONST(0.89890477405053),
- COEF_CONST(0.89998865770993),
- COEF_CONST(0.90106487860034),
- COEF_CONST(0.90213344783689),
- COEF_CONST(0.90319437694315),
- COEF_CONST(0.90424767784873),
- COEF_CONST(0.90529336288690),
- COEF_CONST(0.90633144479201),
- COEF_CONST(0.90736193669708),
- COEF_CONST(0.90838485213119),
- COEF_CONST(0.90940020501694),
- COEF_CONST(0.91040800966776),
- COEF_CONST(0.91140828078533),
- COEF_CONST(0.91240103345685),
- COEF_CONST(0.91338628315231),
- COEF_CONST(0.91436404572173),
- COEF_CONST(0.91533433739238),
- COEF_CONST(0.91629717476594),
- COEF_CONST(0.91725257481564),
- COEF_CONST(0.91820055488334),
- COEF_CONST(0.91914113267664),
- COEF_CONST(0.92007432626589),
- COEF_CONST(0.92100015408120),
- COEF_CONST(0.92191863490944),
- COEF_CONST(0.92282978789113),
- COEF_CONST(0.92373363251740),
- COEF_CONST(0.92463018862687),
- COEF_CONST(0.92551947640245),
- COEF_CONST(0.92640151636824),
- COEF_CONST(0.92727632938624),
- COEF_CONST(0.92814393665320),
- COEF_CONST(0.92900435969727),
- COEF_CONST(0.92985762037477),
- COEF_CONST(0.93070374086684),
- COEF_CONST(0.93154274367610),
- COEF_CONST(0.93237465162328),
- COEF_CONST(0.93319948784382),
- COEF_CONST(0.93401727578443),
- COEF_CONST(0.93482803919967),
- COEF_CONST(0.93563180214841),
- COEF_CONST(0.93642858899043),
- COEF_CONST(0.93721842438279),
- COEF_CONST(0.93800133327637),
- COEF_CONST(0.93877734091223),
- COEF_CONST(0.93954647281807),
- COEF_CONST(0.94030875480458),
- COEF_CONST(0.94106421296182),
- COEF_CONST(0.94181287365556),
- COEF_CONST(0.94255476352362),
- COEF_CONST(0.94328990947213),
- COEF_CONST(0.94401833867184),
- COEF_CONST(0.94474007855439),
- COEF_CONST(0.94545515680855),
- COEF_CONST(0.94616360137644),
- COEF_CONST(0.94686544044975),
- COEF_CONST(0.94756070246592),
- COEF_CONST(0.94824941610434),
- COEF_CONST(0.94893161028248),
- COEF_CONST(0.94960731415209),
- COEF_CONST(0.95027655709525),
- COEF_CONST(0.95093936872056),
- COEF_CONST(0.95159577885924),
- COEF_CONST(0.95224581756115),
- COEF_CONST(0.95288951509097),
- COEF_CONST(0.95352690192417),
- COEF_CONST(0.95415800874314),
- COEF_CONST(0.95478286643320),
- COEF_CONST(0.95540150607863),
- COEF_CONST(0.95601395895871),
- COEF_CONST(0.95662025654373),
- COEF_CONST(0.95722043049100),
- COEF_CONST(0.95781451264084),
- COEF_CONST(0.95840253501260),
- COEF_CONST(0.95898452980058),
- COEF_CONST(0.95956052937008),
- COEF_CONST(0.96013056625336),
- COEF_CONST(0.96069467314557),
- COEF_CONST(0.96125288290073),
- COEF_CONST(0.96180522852773),
- COEF_CONST(0.96235174318622),
- COEF_CONST(0.96289246018262),
- COEF_CONST(0.96342741296604),
- COEF_CONST(0.96395663512424),
- COEF_CONST(0.96448016037959),
- COEF_CONST(0.96499802258499),
- COEF_CONST(0.96551025571985),
- COEF_CONST(0.96601689388602),
- COEF_CONST(0.96651797130376),
- COEF_CONST(0.96701352230768),
- COEF_CONST(0.96750358134269),
- COEF_CONST(0.96798818295998),
- COEF_CONST(0.96846736181297),
- COEF_CONST(0.96894115265327),
- COEF_CONST(0.96940959032667),
- COEF_CONST(0.96987270976912),
- COEF_CONST(0.97033054600270),
- COEF_CONST(0.97078313413161),
- COEF_CONST(0.97123050933818),
- COEF_CONST(0.97167270687887),
- COEF_CONST(0.97210976208030),
- COEF_CONST(0.97254171033525),
- COEF_CONST(0.97296858709871),
- COEF_CONST(0.97339042788392),
- COEF_CONST(0.97380726825843),
- COEF_CONST(0.97421914384017),
- COEF_CONST(0.97462609029350),
- COEF_CONST(0.97502814332534),
- COEF_CONST(0.97542533868127),
- COEF_CONST(0.97581771214160),
- COEF_CONST(0.97620529951759),
- COEF_CONST(0.97658813664749),
- COEF_CONST(0.97696625939282),
- COEF_CONST(0.97733970363445),
- COEF_CONST(0.97770850526884),
- COEF_CONST(0.97807270020427),
- COEF_CONST(0.97843232435704),
- COEF_CONST(0.97878741364771),
- COEF_CONST(0.97913800399743),
- COEF_CONST(0.97948413132414),
- COEF_CONST(0.97982583153895),
- COEF_CONST(0.98016314054243),
- COEF_CONST(0.98049609422096),
- COEF_CONST(0.98082472844313),
- COEF_CONST(0.98114907905608),
- COEF_CONST(0.98146918188197),
- COEF_CONST(0.98178507271438),
- COEF_CONST(0.98209678731477),
- COEF_CONST(0.98240436140902),
- COEF_CONST(0.98270783068385),
- COEF_CONST(0.98300723078342),
- COEF_CONST(0.98330259730589),
- COEF_CONST(0.98359396579995),
- COEF_CONST(0.98388137176152),
- COEF_CONST(0.98416485063031),
- COEF_CONST(0.98444443778651),
- COEF_CONST(0.98472016854752),
- COEF_CONST(0.98499207816463),
- COEF_CONST(0.98526020181980),
- COEF_CONST(0.98552457462240),
- COEF_CONST(0.98578523160609),
- COEF_CONST(0.98604220772560),
- COEF_CONST(0.98629553785362),
- COEF_CONST(0.98654525677772),
- COEF_CONST(0.98679139919726),
- COEF_CONST(0.98703399972035),
- COEF_CONST(0.98727309286089),
- COEF_CONST(0.98750871303556),
- COEF_CONST(0.98774089456089),
- COEF_CONST(0.98796967165036),
- COEF_CONST(0.98819507841154),
- COEF_CONST(0.98841714884323),
- COEF_CONST(0.98863591683269),
- COEF_CONST(0.98885141615285),
- COEF_CONST(0.98906368045957),
- COEF_CONST(0.98927274328896),
- COEF_CONST(0.98947863805473),
- COEF_CONST(0.98968139804554),
- COEF_CONST(0.98988105642241),
- COEF_CONST(0.99007764621618),
- COEF_CONST(0.99027120032501),
- COEF_CONST(0.99046175151186),
- COEF_CONST(0.99064933240208),
- COEF_CONST(0.99083397548099),
- COEF_CONST(0.99101571309153),
- COEF_CONST(0.99119457743191),
- COEF_CONST(0.99137060055337),
- COEF_CONST(0.99154381435784),
- COEF_CONST(0.99171425059582),
- COEF_CONST(0.99188194086414),
- COEF_CONST(0.99204691660388),
- COEF_CONST(0.99220920909823),
- COEF_CONST(0.99236884947045),
- COEF_CONST(0.99252586868186),
- COEF_CONST(0.99268029752989),
- COEF_CONST(0.99283216664606),
- COEF_CONST(0.99298150649419),
- COEF_CONST(0.99312834736847),
- COEF_CONST(0.99327271939167),
- COEF_CONST(0.99341465251338),
- COEF_CONST(0.99355417650825),
- COEF_CONST(0.99369132097430),
- COEF_CONST(0.99382611533130),
- COEF_CONST(0.99395858881910),
- COEF_CONST(0.99408877049612),
- COEF_CONST(0.99421668923778),
- COEF_CONST(0.99434237373503),
- COEF_CONST(0.99446585249289),
- COEF_CONST(0.99458715382906),
- COEF_CONST(0.99470630587254),
- COEF_CONST(0.99482333656229),
- COEF_CONST(0.99493827364600),
- COEF_CONST(0.99505114467878),
- COEF_CONST(0.99516197702200),
- COEF_CONST(0.99527079784214),
- COEF_CONST(0.99537763410962),
- COEF_CONST(0.99548251259777),
- COEF_CONST(0.99558545988178),
- COEF_CONST(0.99568650233767),
- COEF_CONST(0.99578566614138),
- COEF_CONST(0.99588297726783),
- COEF_CONST(0.99597846149005),
- COEF_CONST(0.99607214437834),
- COEF_CONST(0.99616405129947),
- COEF_CONST(0.99625420741595),
- COEF_CONST(0.99634263768527),
- COEF_CONST(0.99642936685928),
- COEF_CONST(0.99651441948352),
- COEF_CONST(0.99659781989663),
- COEF_CONST(0.99667959222978),
- COEF_CONST(0.99675976040620),
- COEF_CONST(0.99683834814063),
- COEF_CONST(0.99691537893895),
- COEF_CONST(0.99699087609774),
- COEF_CONST(0.99706486270391),
- COEF_CONST(0.99713736163442),
- COEF_CONST(0.99720839555593),
- COEF_CONST(0.99727798692461),
- COEF_CONST(0.99734615798589),
- COEF_CONST(0.99741293077431),
- COEF_CONST(0.99747832711337),
- COEF_CONST(0.99754236861541),
- COEF_CONST(0.99760507668158),
- COEF_CONST(0.99766647250181),
- COEF_CONST(0.99772657705478),
- COEF_CONST(0.99778541110799),
- COEF_CONST(0.99784299521785),
- COEF_CONST(0.99789934972976),
- COEF_CONST(0.99795449477828),
- COEF_CONST(0.99800845028730),
- COEF_CONST(0.99806123597027),
- COEF_CONST(0.99811287133042),
- COEF_CONST(0.99816337566108),
- COEF_CONST(0.99821276804596),
- COEF_CONST(0.99826106735952),
- COEF_CONST(0.99830829226732),
- COEF_CONST(0.99835446122649),
- COEF_CONST(0.99839959248609),
- COEF_CONST(0.99844370408765),
- COEF_CONST(0.99848681386566),
- COEF_CONST(0.99852893944805),
- COEF_CONST(0.99857009825685),
- COEF_CONST(0.99861030750869),
- COEF_CONST(0.99864958421549),
- COEF_CONST(0.99868794518504),
- COEF_CONST(0.99872540702178),
- COEF_CONST(0.99876198612738),
- COEF_CONST(0.99879769870160),
- COEF_CONST(0.99883256074295),
- COEF_CONST(0.99886658804953),
- COEF_CONST(0.99889979621983),
- COEF_CONST(0.99893220065356),
- COEF_CONST(0.99896381655254),
- COEF_CONST(0.99899465892154),
- COEF_CONST(0.99902474256924),
- COEF_CONST(0.99905408210916),
- COEF_CONST(0.99908269196056),
- COEF_CONST(0.99911058634952),
- COEF_CONST(0.99913777930986),
- COEF_CONST(0.99916428468421),
- COEF_CONST(0.99919011612505),
- COEF_CONST(0.99921528709576),
- COEF_CONST(0.99923981087174),
- COEF_CONST(0.99926370054150),
- COEF_CONST(0.99928696900779),
- COEF_CONST(0.99930962898876),
- COEF_CONST(0.99933169301910),
- COEF_CONST(0.99935317345126),
- COEF_CONST(0.99937408245662),
- COEF_CONST(0.99939443202674),
- COEF_CONST(0.99941423397457),
- COEF_CONST(0.99943349993572),
- COEF_CONST(0.99945224136972),
- COEF_CONST(0.99947046956130),
- COEF_CONST(0.99948819562171),
- COEF_CONST(0.99950543049000),
- COEF_CONST(0.99952218493439),
- COEF_CONST(0.99953846955355),
- COEF_CONST(0.99955429477803),
- COEF_CONST(0.99956967087154),
- COEF_CONST(0.99958460793242),
- COEF_CONST(0.99959911589494),
- COEF_CONST(0.99961320453077),
- COEF_CONST(0.99962688345035),
- COEF_CONST(0.99964016210433),
- COEF_CONST(0.99965304978499),
- COEF_CONST(0.99966555562769),
- COEF_CONST(0.99967768861231),
- COEF_CONST(0.99968945756473),
- COEF_CONST(0.99970087115825),
- COEF_CONST(0.99971193791510),
- COEF_CONST(0.99972266620792),
- COEF_CONST(0.99973306426121),
- COEF_CONST(0.99974314015288),
- COEF_CONST(0.99975290181568),
- COEF_CONST(0.99976235703876),
- COEF_CONST(0.99977151346914),
- COEF_CONST(0.99978037861326),
- COEF_CONST(0.99978895983845),
- COEF_CONST(0.99979726437448),
- COEF_CONST(0.99980529931507),
- COEF_CONST(0.99981307161943),
- COEF_CONST(0.99982058811377),
- COEF_CONST(0.99982785549283),
- COEF_CONST(0.99983488032144),
- COEF_CONST(0.99984166903600),
- COEF_CONST(0.99984822794606),
- COEF_CONST(0.99985456323584),
- COEF_CONST(0.99986068096572),
- COEF_CONST(0.99986658707386),
- COEF_CONST(0.99987228737764),
- COEF_CONST(0.99987778757524),
- COEF_CONST(0.99988309324717),
- COEF_CONST(0.99988820985777),
- COEF_CONST(0.99989314275675),
- COEF_CONST(0.99989789718072),
- COEF_CONST(0.99990247825468),
- COEF_CONST(0.99990689099357),
- COEF_CONST(0.99991114030376),
- COEF_CONST(0.99991523098456),
- COEF_CONST(0.99991916772971),
- COEF_CONST(0.99992295512891),
- COEF_CONST(0.99992659766930),
- COEF_CONST(0.99993009973692),
- COEF_CONST(0.99993346561824),
- COEF_CONST(0.99993669950161),
- COEF_CONST(0.99993980547870),
- COEF_CONST(0.99994278754604),
- COEF_CONST(0.99994564960642),
- COEF_CONST(0.99994839547033),
- COEF_CONST(0.99995102885747),
- COEF_CONST(0.99995355339809),
- COEF_CONST(0.99995597263451),
- COEF_CONST(0.99995829002249),
- COEF_CONST(0.99996050893264),
- COEF_CONST(0.99996263265183),
- COEF_CONST(0.99996466438460),
- COEF_CONST(0.99996660725452),
- COEF_CONST(0.99996846430558),
- COEF_CONST(0.99997023850356),
- COEF_CONST(0.99997193273736),
- COEF_CONST(0.99997354982037),
- COEF_CONST(0.99997509249183),
- COEF_CONST(0.99997656341810),
- COEF_CONST(0.99997796519400),
- COEF_CONST(0.99997930034415),
- COEF_CONST(0.99998057132421),
- COEF_CONST(0.99998178052220),
- COEF_CONST(0.99998293025975),
- COEF_CONST(0.99998402279338),
- COEF_CONST(0.99998506031574),
- COEF_CONST(0.99998604495686),
- COEF_CONST(0.99998697878536),
- COEF_CONST(0.99998786380966),
- COEF_CONST(0.99998870197921),
- COEF_CONST(0.99998949518567),
- COEF_CONST(0.99999024526408),
- COEF_CONST(0.99999095399401),
- COEF_CONST(0.99999162310077),
- COEF_CONST(0.99999225425649),
- COEF_CONST(0.99999284908128),
- COEF_CONST(0.99999340914435),
- COEF_CONST(0.99999393596510),
- COEF_CONST(0.99999443101421),
- COEF_CONST(0.99999489571473),
- COEF_CONST(0.99999533144314),
- COEF_CONST(0.99999573953040),
- COEF_CONST(0.99999612126300),
- COEF_CONST(0.99999647788395),
- COEF_CONST(0.99999681059383),
- COEF_CONST(0.99999712055178),
- COEF_CONST(0.99999740887647),
- COEF_CONST(0.99999767664709),
- COEF_CONST(0.99999792490431),
- COEF_CONST(0.99999815465123),
- COEF_CONST(0.99999836685427),
- COEF_CONST(0.99999856244415),
- COEF_CONST(0.99999874231676),
- COEF_CONST(0.99999890733405),
- COEF_CONST(0.99999905832493),
- COEF_CONST(0.99999919608613),
- COEF_CONST(0.99999932138304),
- COEF_CONST(0.99999943495056),
- COEF_CONST(0.99999953749392),
- COEF_CONST(0.99999962968950),
- COEF_CONST(0.99999971218563),
- COEF_CONST(0.99999978560337),
- COEF_CONST(0.99999985053727),
- COEF_CONST(0.99999990755616),
- COEF_CONST(0.99999995720387)
+ FRAC_CONST(0.00029256153896361),
+ FRAC_CONST(0.00042998567353047),
+ FRAC_CONST(0.00054674074589540),
+ FRAC_CONST(0.00065482304299792),
+ FRAC_CONST(0.00075870195068747),
+ FRAC_CONST(0.00086059331713336),
+ FRAC_CONST(0.00096177541439010),
+ FRAC_CONST(0.0010630609410878),
+ FRAC_CONST(0.0011650036308132),
+ FRAC_CONST(0.0012680012194148),
+ FRAC_CONST(0.0013723517232956),
+ FRAC_CONST(0.0014782864109136),
+ FRAC_CONST(0.0015859901976719),
+ FRAC_CONST(0.0016956148252373),
+ FRAC_CONST(0.0018072876903517),
+ FRAC_CONST(0.0019211179405514),
+ FRAC_CONST(0.0020372007924215),
+ FRAC_CONST(0.0021556206591754),
+ FRAC_CONST(0.0022764534599614),
+ FRAC_CONST(0.0023997683540995),
+ FRAC_CONST(0.0025256290631156),
+ FRAC_CONST(0.0026540948920831),
+ FRAC_CONST(0.0027852215281403),
+ FRAC_CONST(0.0029190616715331),
+ FRAC_CONST(0.0030556655443223),
+ FRAC_CONST(0.0031950812943391),
+ FRAC_CONST(0.0033373553240392),
+ FRAC_CONST(0.0034825325586930),
+ FRAC_CONST(0.0036306566699199),
+ FRAC_CONST(0.0037817702604646),
+ FRAC_CONST(0.0039359150179719),
+ FRAC_CONST(0.0040931318437260),
+ FRAC_CONST(0.0042534609610026),
+ FRAC_CONST(0.0044169420066964),
+ FRAC_CONST(0.0045836141091341),
+ FRAC_CONST(0.0047535159544086),
+ FRAC_CONST(0.0049266858431214),
+ FRAC_CONST(0.0051031617390698),
+ FRAC_CONST(0.0052829813111335),
+ FRAC_CONST(0.0054661819693975),
+ FRAC_CONST(0.0056528008963682),
+ FRAC_CONST(0.0058428750739943),
+ FRAC_CONST(0.0060364413070882),
+ FRAC_CONST(0.0062335362436492),
+ FRAC_CONST(0.0064341963925079),
+ FRAC_CONST(0.0066384581386503),
+ FRAC_CONST(0.0068463577565218),
+ FRAC_CONST(0.0070579314215715),
+ FRAC_CONST(0.0072732152202559),
+ FRAC_CONST(0.0074922451586909),
+ FRAC_CONST(0.0077150571701162),
+ FRAC_CONST(0.0079416871213115),
+ FRAC_CONST(0.0081721708180857),
+ FRAC_CONST(0.0084065440099458),
+ FRAC_CONST(0.0086448423940363),
+ FRAC_CONST(0.0088871016184291),
+ FRAC_CONST(0.0091333572848345),
+ FRAC_CONST(0.0093836449507939),
+ FRAC_CONST(0.0096380001314086),
+ FRAC_CONST(0.0098964583006517),
+ FRAC_CONST(0.010159054892306),
+ FRAC_CONST(0.010425825300561),
+ FRAC_CONST(0.010696804880310),
+ FRAC_CONST(0.010972028947167),
+ FRAC_CONST(0.011251532777236),
+ FRAC_CONST(0.011535351606646),
+ FRAC_CONST(0.011823520630897),
+ FRAC_CONST(0.012116075003993),
+ FRAC_CONST(0.012413049837429),
+ FRAC_CONST(0.012714480198999),
+ FRAC_CONST(0.013020401111478),
+ FRAC_CONST(0.013330847551161),
+ FRAC_CONST(0.013645854446288),
+ FRAC_CONST(0.013965456675352),
+ FRAC_CONST(0.014289689065314),
+ FRAC_CONST(0.014618586389712),
+ FRAC_CONST(0.014952183366697),
+ FRAC_CONST(0.015290514656976),
+ FRAC_CONST(0.015633614861688),
+ FRAC_CONST(0.015981518520214),
+ FRAC_CONST(0.016334260107915),
+ FRAC_CONST(0.016691874033817),
+ FRAC_CONST(0.017054394638241),
+ FRAC_CONST(0.017421856190380),
+ FRAC_CONST(0.017794292885832),
+ FRAC_CONST(0.018171738844085),
+ FRAC_CONST(0.018554228105962),
+ FRAC_CONST(0.018941794631032),
+ FRAC_CONST(0.019334472294980),
+ FRAC_CONST(0.019732294886947),
+ FRAC_CONST(0.020135296106839),
+ FRAC_CONST(0.020543509562604),
+ FRAC_CONST(0.020956968767488),
+ FRAC_CONST(0.021375707137257),
+ FRAC_CONST(0.021799757987407),
+ FRAC_CONST(0.022229154530343),
+ FRAC_CONST(0.022663929872540),
+ FRAC_CONST(0.023104117011689),
+ FRAC_CONST(0.023549748833816),
+ FRAC_CONST(0.024000858110398),
+ FRAC_CONST(0.024457477495451),
+ FRAC_CONST(0.024919639522613),
+ FRAC_CONST(0.025387376602207),
+ FRAC_CONST(0.025860721018295),
+ FRAC_CONST(0.026339704925726),
+ FRAC_CONST(0.026824360347160),
+ FRAC_CONST(0.027314719170100),
+ FRAC_CONST(0.027810813143900),
+ FRAC_CONST(0.028312673876775),
+ FRAC_CONST(0.028820332832801),
+ FRAC_CONST(0.029333821328905),
+ FRAC_CONST(0.029853170531859),
+ FRAC_CONST(0.030378411455255),
+ FRAC_CONST(0.030909574956490),
+ FRAC_CONST(0.031446691733739),
+ FRAC_CONST(0.031989792322926),
+ FRAC_CONST(0.032538907094693),
+ FRAC_CONST(0.033094066251369),
+ FRAC_CONST(0.033655299823935),
+ FRAC_CONST(0.034222637668991),
+ FRAC_CONST(0.034796109465717),
+ FRAC_CONST(0.035375744712844),
+ FRAC_CONST(0.035961572725616),
+ FRAC_CONST(0.036553622632758),
+ FRAC_CONST(0.037151923373446),
+ FRAC_CONST(0.037756503694277),
+ FRAC_CONST(0.038367392146243),
+ FRAC_CONST(0.038984617081711),
+ FRAC_CONST(0.039608206651398),
+ FRAC_CONST(0.040238188801359),
+ FRAC_CONST(0.040874591269976),
+ FRAC_CONST(0.041517441584950),
+ FRAC_CONST(0.042166767060301),
+ FRAC_CONST(0.042822594793376),
+ FRAC_CONST(0.043484951661852),
+ FRAC_CONST(0.044153864320760),
+ FRAC_CONST(0.044829359199509),
+ FRAC_CONST(0.045511462498913),
+ FRAC_CONST(0.046200200188234),
+ FRAC_CONST(0.046895598002228),
+ FRAC_CONST(0.047597681438201),
+ FRAC_CONST(0.048306475753074),
+ FRAC_CONST(0.049022005960455),
+ FRAC_CONST(0.049744296827725),
+ FRAC_CONST(0.050473372873129),
+ FRAC_CONST(0.051209258362879),
+ FRAC_CONST(0.051951977308273),
+ FRAC_CONST(0.052701553462813),
+ FRAC_CONST(0.053458010319350),
+ FRAC_CONST(0.054221371107223),
+ FRAC_CONST(0.054991658789428),
+ FRAC_CONST(0.055768896059787),
+ FRAC_CONST(0.056553105340134),
+ FRAC_CONST(0.057344308777513),
+ FRAC_CONST(0.058142528241393),
+ FRAC_CONST(0.058947785320893),
+ FRAC_CONST(0.059760101322019),
+ FRAC_CONST(0.060579497264926),
+ FRAC_CONST(0.061405993881180),
+ FRAC_CONST(0.062239611611049),
+ FRAC_CONST(0.063080370600799),
+ FRAC_CONST(0.063928290700012),
+ FRAC_CONST(0.064783391458919),
+ FRAC_CONST(0.065645692125747),
+ FRAC_CONST(0.066515211644086),
+ FRAC_CONST(0.067391968650269),
+ FRAC_CONST(0.068275981470777),
+ FRAC_CONST(0.069167268119652),
+ FRAC_CONST(0.070065846295935),
+ FRAC_CONST(0.070971733381121),
+ FRAC_CONST(0.071884946436630),
+ FRAC_CONST(0.072805502201299),
+ FRAC_CONST(0.073733417088896),
+ FRAC_CONST(0.074668707185649),
+ FRAC_CONST(0.075611388247794),
+ FRAC_CONST(0.076561475699152),
+ FRAC_CONST(0.077518984628715),
+ FRAC_CONST(0.078483929788261),
+ FRAC_CONST(0.079456325589986),
+ FRAC_CONST(0.080436186104162),
+ FRAC_CONST(0.081423525056808),
+ FRAC_CONST(0.082418355827392),
+ FRAC_CONST(0.083420691446553),
+ FRAC_CONST(0.084430544593841),
+ FRAC_CONST(0.085447927595483),
+ FRAC_CONST(0.086472852422178),
+ FRAC_CONST(0.087505330686900),
+ FRAC_CONST(0.088545373642744),
+ FRAC_CONST(0.089592992180780),
+ FRAC_CONST(0.090648196827937),
+ FRAC_CONST(0.091710997744919),
+ FRAC_CONST(0.092781404724131),
+ FRAC_CONST(0.093859427187640),
+ FRAC_CONST(0.094945074185163),
+ FRAC_CONST(0.096038354392069),
+ FRAC_CONST(0.097139276107423),
+ FRAC_CONST(0.098247847252041),
+ FRAC_CONST(0.099364075366580),
+ FRAC_CONST(0.10048796760965),
+ FRAC_CONST(0.10161953075597),
+ FRAC_CONST(0.10275877119451),
+ FRAC_CONST(0.10390569492671),
+ FRAC_CONST(0.10506030756469),
+ FRAC_CONST(0.10622261432949),
+ FRAC_CONST(0.10739262004941),
+ FRAC_CONST(0.10857032915821),
+ FRAC_CONST(0.10975574569357),
+ FRAC_CONST(0.11094887329534),
+ FRAC_CONST(0.11214971520402),
+ FRAC_CONST(0.11335827425914),
+ FRAC_CONST(0.11457455289772),
+ FRAC_CONST(0.11579855315274),
+ FRAC_CONST(0.11703027665170),
+ FRAC_CONST(0.11826972461510),
+ FRAC_CONST(0.11951689785504),
+ FRAC_CONST(0.12077179677383),
+ FRAC_CONST(0.12203442136263),
+ FRAC_CONST(0.12330477120008),
+ FRAC_CONST(0.12458284545102),
+ FRAC_CONST(0.12586864286523),
+ FRAC_CONST(0.12716216177615),
+ FRAC_CONST(0.12846340009971),
+ FRAC_CONST(0.12977235533312),
+ FRAC_CONST(0.13108902455375),
+ FRAC_CONST(0.13241340441801),
+ FRAC_CONST(0.13374549116025),
+ FRAC_CONST(0.13508528059173),
+ FRAC_CONST(0.13643276809961),
+ FRAC_CONST(0.13778794864595),
+ FRAC_CONST(0.13915081676677),
+ FRAC_CONST(0.14052136657114),
+ FRAC_CONST(0.14189959174027),
+ FRAC_CONST(0.14328548552671),
+ FRAC_CONST(0.14467904075349),
+ FRAC_CONST(0.14608024981336),
+ FRAC_CONST(0.14748910466804),
+ FRAC_CONST(0.14890559684750),
+ FRAC_CONST(0.15032971744929),
+ FRAC_CONST(0.15176145713790),
+ FRAC_CONST(0.15320080614414),
+ FRAC_CONST(0.15464775426459),
+ FRAC_CONST(0.15610229086100),
+ FRAC_CONST(0.15756440485987),
+ FRAC_CONST(0.15903408475193),
+ FRAC_CONST(0.16051131859170),
+ FRAC_CONST(0.16199609399712),
+ FRAC_CONST(0.16348839814917),
+ FRAC_CONST(0.16498821779156),
+ FRAC_CONST(0.16649553923042),
+ FRAC_CONST(0.16801034833404),
+ FRAC_CONST(0.16953263053270),
+ FRAC_CONST(0.17106237081842),
+ FRAC_CONST(0.17259955374484),
+ FRAC_CONST(0.17414416342714),
+ FRAC_CONST(0.17569618354193),
+ FRAC_CONST(0.17725559732720),
+ FRAC_CONST(0.17882238758238),
+ FRAC_CONST(0.18039653666830),
+ FRAC_CONST(0.18197802650733),
+ FRAC_CONST(0.18356683858343),
+ FRAC_CONST(0.18516295394233),
+ FRAC_CONST(0.18676635319174),
+ FRAC_CONST(0.18837701650148),
+ FRAC_CONST(0.18999492360384),
+ FRAC_CONST(0.19162005379380),
+ FRAC_CONST(0.19325238592940),
+ FRAC_CONST(0.19489189843209),
+ FRAC_CONST(0.19653856928714),
+ FRAC_CONST(0.19819237604409),
+ FRAC_CONST(0.19985329581721),
+ FRAC_CONST(0.20152130528605),
+ FRAC_CONST(0.20319638069594),
+ FRAC_CONST(0.20487849785865),
+ FRAC_CONST(0.20656763215298),
+ FRAC_CONST(0.20826375852540),
+ FRAC_CONST(0.20996685149083),
+ FRAC_CONST(0.21167688513330),
+ FRAC_CONST(0.21339383310678),
+ FRAC_CONST(0.21511766863598),
+ FRAC_CONST(0.21684836451719),
+ FRAC_CONST(0.21858589311922),
+ FRAC_CONST(0.22033022638425),
+ FRAC_CONST(0.22208133582887),
+ FRAC_CONST(0.22383919254503),
+ FRAC_CONST(0.22560376720111),
+ FRAC_CONST(0.22737503004300),
+ FRAC_CONST(0.22915295089517),
+ FRAC_CONST(0.23093749916189),
+ FRAC_CONST(0.23272864382838),
+ FRAC_CONST(0.23452635346201),
+ FRAC_CONST(0.23633059621364),
+ FRAC_CONST(0.23814133981883),
+ FRAC_CONST(0.23995855159925),
+ FRAC_CONST(0.24178219846403),
+ FRAC_CONST(0.24361224691114),
+ FRAC_CONST(0.24544866302890),
+ FRAC_CONST(0.24729141249740),
+ FRAC_CONST(0.24914046059007),
+ FRAC_CONST(0.25099577217522),
+ FRAC_CONST(0.25285731171763),
+ FRAC_CONST(0.25472504328019),
+ FRAC_CONST(0.25659893052556),
+ FRAC_CONST(0.25847893671788),
+ FRAC_CONST(0.26036502472451),
+ FRAC_CONST(0.26225715701781),
+ FRAC_CONST(0.26415529567692),
+ FRAC_CONST(0.26605940238966),
+ FRAC_CONST(0.26796943845439),
+ FRAC_CONST(0.26988536478190),
+ FRAC_CONST(0.27180714189742),
+ FRAC_CONST(0.27373472994256),
+ FRAC_CONST(0.27566808867736),
+ FRAC_CONST(0.27760717748238),
+ FRAC_CONST(0.27955195536071),
+ FRAC_CONST(0.28150238094021),
+ FRAC_CONST(0.28345841247557),
+ FRAC_CONST(0.28542000785059),
+ FRAC_CONST(0.28738712458038),
+ FRAC_CONST(0.28935971981364),
+ FRAC_CONST(0.29133775033492),
+ FRAC_CONST(0.29332117256704),
+ FRAC_CONST(0.29530994257338),
+ FRAC_CONST(0.29730401606034),
+ FRAC_CONST(0.29930334837974),
+ FRAC_CONST(0.30130789453132),
+ FRAC_CONST(0.30331760916521),
+ FRAC_CONST(0.30533244658452),
+ FRAC_CONST(0.30735236074785),
+ FRAC_CONST(0.30937730527195),
+ FRAC_CONST(0.31140723343430),
+ FRAC_CONST(0.31344209817583),
+ FRAC_CONST(0.31548185210356),
+ FRAC_CONST(0.31752644749341),
+ FRAC_CONST(0.31957583629288),
+ FRAC_CONST(0.32162997012390),
+ FRAC_CONST(0.32368880028565),
+ FRAC_CONST(0.32575227775738),
+ FRAC_CONST(0.32782035320134),
+ FRAC_CONST(0.32989297696566),
+ FRAC_CONST(0.33197009908736),
+ FRAC_CONST(0.33405166929523),
+ FRAC_CONST(0.33613763701295),
+ FRAC_CONST(0.33822795136203),
+ FRAC_CONST(0.34032256116495),
+ FRAC_CONST(0.34242141494820),
+ FRAC_CONST(0.34452446094547),
+ FRAC_CONST(0.34663164710072),
+ FRAC_CONST(0.34874292107143),
+ FRAC_CONST(0.35085823023181),
+ FRAC_CONST(0.35297752167598),
+ FRAC_CONST(0.35510074222129),
+ FRAC_CONST(0.35722783841160),
+ FRAC_CONST(0.35935875652060),
+ FRAC_CONST(0.36149344255514),
+ FRAC_CONST(0.36363184225864),
+ FRAC_CONST(0.36577390111444),
+ FRAC_CONST(0.36791956434930),
+ FRAC_CONST(0.37006877693676),
+ FRAC_CONST(0.37222148360070),
+ FRAC_CONST(0.37437762881878),
+ FRAC_CONST(0.37653715682603),
+ FRAC_CONST(0.37870001161834),
+ FRAC_CONST(0.38086613695607),
+ FRAC_CONST(0.38303547636766),
+ FRAC_CONST(0.38520797315322),
+ FRAC_CONST(0.38738357038821),
+ FRAC_CONST(0.38956221092708),
+ FRAC_CONST(0.39174383740701),
+ FRAC_CONST(0.39392839225157),
+ FRAC_CONST(0.39611581767449),
+ FRAC_CONST(0.39830605568342),
+ FRAC_CONST(0.40049904808370),
+ FRAC_CONST(0.40269473648218),
+ FRAC_CONST(0.40489306229101),
+ FRAC_CONST(0.40709396673153),
+ FRAC_CONST(0.40929739083810),
+ FRAC_CONST(0.41150327546197),
+ FRAC_CONST(0.41371156127524),
+ FRAC_CONST(0.41592218877472),
+ FRAC_CONST(0.41813509828594),
+ FRAC_CONST(0.42035022996702),
+ FRAC_CONST(0.42256752381274),
+ FRAC_CONST(0.42478691965848),
+ FRAC_CONST(0.42700835718423),
+ FRAC_CONST(0.42923177591866),
+ FRAC_CONST(0.43145711524314),
+ FRAC_CONST(0.43368431439580),
+ FRAC_CONST(0.43591331247564),
+ FRAC_CONST(0.43814404844658),
+ FRAC_CONST(0.44037646114161),
+ FRAC_CONST(0.44261048926688),
+ FRAC_CONST(0.44484607140589),
+ FRAC_CONST(0.44708314602359),
+ FRAC_CONST(0.44932165147057),
+ FRAC_CONST(0.45156152598727),
+ FRAC_CONST(0.45380270770813),
+ FRAC_CONST(0.45604513466581),
+ FRAC_CONST(0.45828874479543),
+ FRAC_CONST(0.46053347593880),
+ FRAC_CONST(0.46277926584861),
+ FRAC_CONST(0.46502605219277),
+ FRAC_CONST(0.46727377255861),
+ FRAC_CONST(0.46952236445718),
+ FRAC_CONST(0.47177176532752),
+ FRAC_CONST(0.47402191254100),
+ FRAC_CONST(0.47627274340557),
+ FRAC_CONST(0.47852419517009),
+ FRAC_CONST(0.48077620502869),
+ FRAC_CONST(0.48302871012505),
+ FRAC_CONST(0.48528164755674),
+ FRAC_CONST(0.48753495437962),
+ FRAC_CONST(0.48978856761212),
+ FRAC_CONST(0.49204242423966),
+ FRAC_CONST(0.49429646121898),
+ FRAC_CONST(0.49655061548250),
+ FRAC_CONST(0.49880482394273),
+ FRAC_CONST(0.50105902349665),
+ FRAC_CONST(0.50331315103004),
+ FRAC_CONST(0.50556714342194),
+ FRAC_CONST(0.50782093754901),
+ FRAC_CONST(0.51007447028990),
+ FRAC_CONST(0.51232767852971),
+ FRAC_CONST(0.51458049916433),
+ FRAC_CONST(0.51683286910489),
+ FRAC_CONST(0.51908472528213),
+ FRAC_CONST(0.52133600465083),
+ FRAC_CONST(0.52358664419420),
+ FRAC_CONST(0.52583658092832),
+ FRAC_CONST(0.52808575190648),
+ FRAC_CONST(0.53033409422367),
+ FRAC_CONST(0.53258154502092),
+ FRAC_CONST(0.53482804148974),
+ FRAC_CONST(0.53707352087652),
+ FRAC_CONST(0.53931792048690),
+ FRAC_CONST(0.54156117769021),
+ FRAC_CONST(0.54380322992385),
+ FRAC_CONST(0.54604401469766),
+ FRAC_CONST(0.54828346959835),
+ FRAC_CONST(0.55052153229384),
+ FRAC_CONST(0.55275814053768),
+ FRAC_CONST(0.55499323217338),
+ FRAC_CONST(0.55722674513883),
+ FRAC_CONST(0.55945861747062),
+ FRAC_CONST(0.56168878730842),
+ FRAC_CONST(0.56391719289930),
+ FRAC_CONST(0.56614377260214),
+ FRAC_CONST(0.56836846489188),
+ FRAC_CONST(0.57059120836390),
+ FRAC_CONST(0.57281194173835),
+ FRAC_CONST(0.57503060386439),
+ FRAC_CONST(0.57724713372458),
+ FRAC_CONST(0.57946147043912),
+ FRAC_CONST(0.58167355327012),
+ FRAC_CONST(0.58388332162591),
+ FRAC_CONST(0.58609071506528),
+ FRAC_CONST(0.58829567330173),
+ FRAC_CONST(0.59049813620770),
+ FRAC_CONST(0.59269804381879),
+ FRAC_CONST(0.59489533633802),
+ FRAC_CONST(0.59708995413996),
+ FRAC_CONST(0.59928183777495),
+ FRAC_CONST(0.60147092797329),
+ FRAC_CONST(0.60365716564937),
+ FRAC_CONST(0.60584049190582),
+ FRAC_CONST(0.60802084803764),
+ FRAC_CONST(0.61019817553632),
+ FRAC_CONST(0.61237241609393),
+ FRAC_CONST(0.61454351160718),
+ FRAC_CONST(0.61671140418155),
+ FRAC_CONST(0.61887603613527),
+ FRAC_CONST(0.62103735000336),
+ FRAC_CONST(0.62319528854167),
+ FRAC_CONST(0.62534979473088),
+ FRAC_CONST(0.62750081178042),
+ FRAC_CONST(0.62964828313250),
+ FRAC_CONST(0.63179215246597),
+ FRAC_CONST(0.63393236370030),
+ FRAC_CONST(0.63606886099946),
+ FRAC_CONST(0.63820158877577),
+ FRAC_CONST(0.64033049169379),
+ FRAC_CONST(0.64245551467413),
+ FRAC_CONST(0.64457660289729),
+ FRAC_CONST(0.64669370180740),
+ FRAC_CONST(0.64880675711607),
+ FRAC_CONST(0.65091571480603),
+ FRAC_CONST(0.65302052113494),
+ FRAC_CONST(0.65512112263906),
+ FRAC_CONST(0.65721746613689),
+ FRAC_CONST(0.65930949873289),
+ FRAC_CONST(0.66139716782102),
+ FRAC_CONST(0.66348042108842),
+ FRAC_CONST(0.66555920651892),
+ FRAC_CONST(0.66763347239664),
+ FRAC_CONST(0.66970316730947),
+ FRAC_CONST(0.67176824015260),
+ FRAC_CONST(0.67382864013196),
+ FRAC_CONST(0.67588431676768),
+ FRAC_CONST(0.67793521989751),
+ FRAC_CONST(0.67998129968017),
+ FRAC_CONST(0.68202250659876),
+ FRAC_CONST(0.68405879146403),
+ FRAC_CONST(0.68609010541774),
+ FRAC_CONST(0.68811639993588),
+ FRAC_CONST(0.69013762683195),
+ FRAC_CONST(0.69215373826012),
+ FRAC_CONST(0.69416468671849),
+ FRAC_CONST(0.69617042505214),
+ FRAC_CONST(0.69817090645634),
+ FRAC_CONST(0.70016608447958),
+ FRAC_CONST(0.70215591302664),
+ FRAC_CONST(0.70414034636163),
+ FRAC_CONST(0.70611933911096),
+ FRAC_CONST(0.70809284626630),
+ FRAC_CONST(0.71006082318751),
+ FRAC_CONST(0.71202322560554),
+ FRAC_CONST(0.71398000962530),
+ FRAC_CONST(0.71593113172842),
+ FRAC_CONST(0.71787654877613),
+ FRAC_CONST(0.71981621801195),
+ FRAC_CONST(0.72175009706445),
+ FRAC_CONST(0.72367814394990),
+ FRAC_CONST(0.72560031707496),
+ FRAC_CONST(0.72751657523927),
+ FRAC_CONST(0.72942687763803),
+ FRAC_CONST(0.73133118386457),
+ FRAC_CONST(0.73322945391280),
+ FRAC_CONST(0.73512164817975),
+ FRAC_CONST(0.73700772746796),
+ FRAC_CONST(0.73888765298787),
+ FRAC_CONST(0.74076138636020),
+ FRAC_CONST(0.74262888961827),
+ FRAC_CONST(0.74449012521027),
+ FRAC_CONST(0.74634505600152),
+ FRAC_CONST(0.74819364527663),
+ FRAC_CONST(0.75003585674175),
+ FRAC_CONST(0.75187165452661),
+ FRAC_CONST(0.75370100318668),
+ FRAC_CONST(0.75552386770515),
+ FRAC_CONST(0.75734021349500),
+ FRAC_CONST(0.75915000640095),
+ FRAC_CONST(0.76095321270137),
+ FRAC_CONST(0.76274979911019),
+ FRAC_CONST(0.76453973277875),
+ FRAC_CONST(0.76632298129757),
+ FRAC_CONST(0.76809951269819),
+ FRAC_CONST(0.76986929545481),
+ FRAC_CONST(0.77163229848604),
+ FRAC_CONST(0.77338849115651),
+ FRAC_CONST(0.77513784327849),
+ FRAC_CONST(0.77688032511340),
+ FRAC_CONST(0.77861590737340),
+ FRAC_CONST(0.78034456122283),
+ FRAC_CONST(0.78206625827961),
+ FRAC_CONST(0.78378097061667),
+ FRAC_CONST(0.78548867076330),
+ FRAC_CONST(0.78718933170643),
+ FRAC_CONST(0.78888292689189),
+ FRAC_CONST(0.79056943022564),
+ FRAC_CONST(0.79224881607494),
+ FRAC_CONST(0.79392105926949),
+ FRAC_CONST(0.79558613510249),
+ FRAC_CONST(0.79724401933170),
+ FRAC_CONST(0.79889468818046),
+ FRAC_CONST(0.80053811833858),
+ FRAC_CONST(0.80217428696334),
+ FRAC_CONST(0.80380317168028),
+ FRAC_CONST(0.80542475058405),
+ FRAC_CONST(0.80703900223920),
+ FRAC_CONST(0.80864590568089),
+ FRAC_CONST(0.81024544041560),
+ FRAC_CONST(0.81183758642175),
+ FRAC_CONST(0.81342232415032),
+ FRAC_CONST(0.81499963452540),
+ FRAC_CONST(0.81656949894467),
+ FRAC_CONST(0.81813189927991),
+ FRAC_CONST(0.81968681787738),
+ FRAC_CONST(0.82123423755821),
+ FRAC_CONST(0.82277414161874),
+ FRAC_CONST(0.82430651383076),
+ FRAC_CONST(0.82583133844180),
+ FRAC_CONST(0.82734860017528),
+ FRAC_CONST(0.82885828423070),
+ FRAC_CONST(0.83036037628369),
+ FRAC_CONST(0.83185486248609),
+ FRAC_CONST(0.83334172946597),
+ FRAC_CONST(0.83482096432759),
+ FRAC_CONST(0.83629255465130),
+ FRAC_CONST(0.83775648849344),
+ FRAC_CONST(0.83921275438615),
+ FRAC_CONST(0.84066134133716),
+ FRAC_CONST(0.84210223882952),
+ FRAC_CONST(0.84353543682130),
+ FRAC_CONST(0.84496092574524),
+ FRAC_CONST(0.84637869650833),
+ FRAC_CONST(0.84778874049138),
+ FRAC_CONST(0.84919104954855),
+ FRAC_CONST(0.85058561600677),
+ FRAC_CONST(0.85197243266520),
+ FRAC_CONST(0.85335149279457),
+ FRAC_CONST(0.85472279013653),
+ FRAC_CONST(0.85608631890295),
+ FRAC_CONST(0.85744207377513),
+ FRAC_CONST(0.85879004990298),
+ FRAC_CONST(0.86013024290422),
+ FRAC_CONST(0.86146264886346),
+ FRAC_CONST(0.86278726433124),
+ FRAC_CONST(0.86410408632306),
+ FRAC_CONST(0.86541311231838),
+ FRAC_CONST(0.86671434025950),
+ FRAC_CONST(0.86800776855046),
+ FRAC_CONST(0.86929339605590),
+ FRAC_CONST(0.87057122209981),
+ FRAC_CONST(0.87184124646433),
+ FRAC_CONST(0.87310346938840),
+ FRAC_CONST(0.87435789156650),
+ FRAC_CONST(0.87560451414719),
+ FRAC_CONST(0.87684333873173),
+ FRAC_CONST(0.87807436737261),
+ FRAC_CONST(0.87929760257204),
+ FRAC_CONST(0.88051304728038),
+ FRAC_CONST(0.88172070489456),
+ FRAC_CONST(0.88292057925645),
+ FRAC_CONST(0.88411267465117),
+ FRAC_CONST(0.88529699580537),
+ FRAC_CONST(0.88647354788545),
+ FRAC_CONST(0.88764233649580),
+ FRAC_CONST(0.88880336767692),
+ FRAC_CONST(0.88995664790351),
+ FRAC_CONST(0.89110218408260),
+ FRAC_CONST(0.89223998355154),
+ FRAC_CONST(0.89337005407600),
+ FRAC_CONST(0.89449240384793),
+ FRAC_CONST(0.89560704148345),
+ FRAC_CONST(0.89671397602074),
+ FRAC_CONST(0.89781321691786),
+ FRAC_CONST(0.89890477405053),
+ FRAC_CONST(0.89998865770993),
+ FRAC_CONST(0.90106487860034),
+ FRAC_CONST(0.90213344783689),
+ FRAC_CONST(0.90319437694315),
+ FRAC_CONST(0.90424767784873),
+ FRAC_CONST(0.90529336288690),
+ FRAC_CONST(0.90633144479201),
+ FRAC_CONST(0.90736193669708),
+ FRAC_CONST(0.90838485213119),
+ FRAC_CONST(0.90940020501694),
+ FRAC_CONST(0.91040800966776),
+ FRAC_CONST(0.91140828078533),
+ FRAC_CONST(0.91240103345685),
+ FRAC_CONST(0.91338628315231),
+ FRAC_CONST(0.91436404572173),
+ FRAC_CONST(0.91533433739238),
+ FRAC_CONST(0.91629717476594),
+ FRAC_CONST(0.91725257481564),
+ FRAC_CONST(0.91820055488334),
+ FRAC_CONST(0.91914113267664),
+ FRAC_CONST(0.92007432626589),
+ FRAC_CONST(0.92100015408120),
+ FRAC_CONST(0.92191863490944),
+ FRAC_CONST(0.92282978789113),
+ FRAC_CONST(0.92373363251740),
+ FRAC_CONST(0.92463018862687),
+ FRAC_CONST(0.92551947640245),
+ FRAC_CONST(0.92640151636824),
+ FRAC_CONST(0.92727632938624),
+ FRAC_CONST(0.92814393665320),
+ FRAC_CONST(0.92900435969727),
+ FRAC_CONST(0.92985762037477),
+ FRAC_CONST(0.93070374086684),
+ FRAC_CONST(0.93154274367610),
+ FRAC_CONST(0.93237465162328),
+ FRAC_CONST(0.93319948784382),
+ FRAC_CONST(0.93401727578443),
+ FRAC_CONST(0.93482803919967),
+ FRAC_CONST(0.93563180214841),
+ FRAC_CONST(0.93642858899043),
+ FRAC_CONST(0.93721842438279),
+ FRAC_CONST(0.93800133327637),
+ FRAC_CONST(0.93877734091223),
+ FRAC_CONST(0.93954647281807),
+ FRAC_CONST(0.94030875480458),
+ FRAC_CONST(0.94106421296182),
+ FRAC_CONST(0.94181287365556),
+ FRAC_CONST(0.94255476352362),
+ FRAC_CONST(0.94328990947213),
+ FRAC_CONST(0.94401833867184),
+ FRAC_CONST(0.94474007855439),
+ FRAC_CONST(0.94545515680855),
+ FRAC_CONST(0.94616360137644),
+ FRAC_CONST(0.94686544044975),
+ FRAC_CONST(0.94756070246592),
+ FRAC_CONST(0.94824941610434),
+ FRAC_CONST(0.94893161028248),
+ FRAC_CONST(0.94960731415209),
+ FRAC_CONST(0.95027655709525),
+ FRAC_CONST(0.95093936872056),
+ FRAC_CONST(0.95159577885924),
+ FRAC_CONST(0.95224581756115),
+ FRAC_CONST(0.95288951509097),
+ FRAC_CONST(0.95352690192417),
+ FRAC_CONST(0.95415800874314),
+ FRAC_CONST(0.95478286643320),
+ FRAC_CONST(0.95540150607863),
+ FRAC_CONST(0.95601395895871),
+ FRAC_CONST(0.95662025654373),
+ FRAC_CONST(0.95722043049100),
+ FRAC_CONST(0.95781451264084),
+ FRAC_CONST(0.95840253501260),
+ FRAC_CONST(0.95898452980058),
+ FRAC_CONST(0.95956052937008),
+ FRAC_CONST(0.96013056625336),
+ FRAC_CONST(0.96069467314557),
+ FRAC_CONST(0.96125288290073),
+ FRAC_CONST(0.96180522852773),
+ FRAC_CONST(0.96235174318622),
+ FRAC_CONST(0.96289246018262),
+ FRAC_CONST(0.96342741296604),
+ FRAC_CONST(0.96395663512424),
+ FRAC_CONST(0.96448016037959),
+ FRAC_CONST(0.96499802258499),
+ FRAC_CONST(0.96551025571985),
+ FRAC_CONST(0.96601689388602),
+ FRAC_CONST(0.96651797130376),
+ FRAC_CONST(0.96701352230768),
+ FRAC_CONST(0.96750358134269),
+ FRAC_CONST(0.96798818295998),
+ FRAC_CONST(0.96846736181297),
+ FRAC_CONST(0.96894115265327),
+ FRAC_CONST(0.96940959032667),
+ FRAC_CONST(0.96987270976912),
+ FRAC_CONST(0.97033054600270),
+ FRAC_CONST(0.97078313413161),
+ FRAC_CONST(0.97123050933818),
+ FRAC_CONST(0.97167270687887),
+ FRAC_CONST(0.97210976208030),
+ FRAC_CONST(0.97254171033525),
+ FRAC_CONST(0.97296858709871),
+ FRAC_CONST(0.97339042788392),
+ FRAC_CONST(0.97380726825843),
+ FRAC_CONST(0.97421914384017),
+ FRAC_CONST(0.97462609029350),
+ FRAC_CONST(0.97502814332534),
+ FRAC_CONST(0.97542533868127),
+ FRAC_CONST(0.97581771214160),
+ FRAC_CONST(0.97620529951759),
+ FRAC_CONST(0.97658813664749),
+ FRAC_CONST(0.97696625939282),
+ FRAC_CONST(0.97733970363445),
+ FRAC_CONST(0.97770850526884),
+ FRAC_CONST(0.97807270020427),
+ FRAC_CONST(0.97843232435704),
+ FRAC_CONST(0.97878741364771),
+ FRAC_CONST(0.97913800399743),
+ FRAC_CONST(0.97948413132414),
+ FRAC_CONST(0.97982583153895),
+ FRAC_CONST(0.98016314054243),
+ FRAC_CONST(0.98049609422096),
+ FRAC_CONST(0.98082472844313),
+ FRAC_CONST(0.98114907905608),
+ FRAC_CONST(0.98146918188197),
+ FRAC_CONST(0.98178507271438),
+ FRAC_CONST(0.98209678731477),
+ FRAC_CONST(0.98240436140902),
+ FRAC_CONST(0.98270783068385),
+ FRAC_CONST(0.98300723078342),
+ FRAC_CONST(0.98330259730589),
+ FRAC_CONST(0.98359396579995),
+ FRAC_CONST(0.98388137176152),
+ FRAC_CONST(0.98416485063031),
+ FRAC_CONST(0.98444443778651),
+ FRAC_CONST(0.98472016854752),
+ FRAC_CONST(0.98499207816463),
+ FRAC_CONST(0.98526020181980),
+ FRAC_CONST(0.98552457462240),
+ FRAC_CONST(0.98578523160609),
+ FRAC_CONST(0.98604220772560),
+ FRAC_CONST(0.98629553785362),
+ FRAC_CONST(0.98654525677772),
+ FRAC_CONST(0.98679139919726),
+ FRAC_CONST(0.98703399972035),
+ FRAC_CONST(0.98727309286089),
+ FRAC_CONST(0.98750871303556),
+ FRAC_CONST(0.98774089456089),
+ FRAC_CONST(0.98796967165036),
+ FRAC_CONST(0.98819507841154),
+ FRAC_CONST(0.98841714884323),
+ FRAC_CONST(0.98863591683269),
+ FRAC_CONST(0.98885141615285),
+ FRAC_CONST(0.98906368045957),
+ FRAC_CONST(0.98927274328896),
+ FRAC_CONST(0.98947863805473),
+ FRAC_CONST(0.98968139804554),
+ FRAC_CONST(0.98988105642241),
+ FRAC_CONST(0.99007764621618),
+ FRAC_CONST(0.99027120032501),
+ FRAC_CONST(0.99046175151186),
+ FRAC_CONST(0.99064933240208),
+ FRAC_CONST(0.99083397548099),
+ FRAC_CONST(0.99101571309153),
+ FRAC_CONST(0.99119457743191),
+ FRAC_CONST(0.99137060055337),
+ FRAC_CONST(0.99154381435784),
+ FRAC_CONST(0.99171425059582),
+ FRAC_CONST(0.99188194086414),
+ FRAC_CONST(0.99204691660388),
+ FRAC_CONST(0.99220920909823),
+ FRAC_CONST(0.99236884947045),
+ FRAC_CONST(0.99252586868186),
+ FRAC_CONST(0.99268029752989),
+ FRAC_CONST(0.99283216664606),
+ FRAC_CONST(0.99298150649419),
+ FRAC_CONST(0.99312834736847),
+ FRAC_CONST(0.99327271939167),
+ FRAC_CONST(0.99341465251338),
+ FRAC_CONST(0.99355417650825),
+ FRAC_CONST(0.99369132097430),
+ FRAC_CONST(0.99382611533130),
+ FRAC_CONST(0.99395858881910),
+ FRAC_CONST(0.99408877049612),
+ FRAC_CONST(0.99421668923778),
+ FRAC_CONST(0.99434237373503),
+ FRAC_CONST(0.99446585249289),
+ FRAC_CONST(0.99458715382906),
+ FRAC_CONST(0.99470630587254),
+ FRAC_CONST(0.99482333656229),
+ FRAC_CONST(0.99493827364600),
+ FRAC_CONST(0.99505114467878),
+ FRAC_CONST(0.99516197702200),
+ FRAC_CONST(0.99527079784214),
+ FRAC_CONST(0.99537763410962),
+ FRAC_CONST(0.99548251259777),
+ FRAC_CONST(0.99558545988178),
+ FRAC_CONST(0.99568650233767),
+ FRAC_CONST(0.99578566614138),
+ FRAC_CONST(0.99588297726783),
+ FRAC_CONST(0.99597846149005),
+ FRAC_CONST(0.99607214437834),
+ FRAC_CONST(0.99616405129947),
+ FRAC_CONST(0.99625420741595),
+ FRAC_CONST(0.99634263768527),
+ FRAC_CONST(0.99642936685928),
+ FRAC_CONST(0.99651441948352),
+ FRAC_CONST(0.99659781989663),
+ FRAC_CONST(0.99667959222978),
+ FRAC_CONST(0.99675976040620),
+ FRAC_CONST(0.99683834814063),
+ FRAC_CONST(0.99691537893895),
+ FRAC_CONST(0.99699087609774),
+ FRAC_CONST(0.99706486270391),
+ FRAC_CONST(0.99713736163442),
+ FRAC_CONST(0.99720839555593),
+ FRAC_CONST(0.99727798692461),
+ FRAC_CONST(0.99734615798589),
+ FRAC_CONST(0.99741293077431),
+ FRAC_CONST(0.99747832711337),
+ FRAC_CONST(0.99754236861541),
+ FRAC_CONST(0.99760507668158),
+ FRAC_CONST(0.99766647250181),
+ FRAC_CONST(0.99772657705478),
+ FRAC_CONST(0.99778541110799),
+ FRAC_CONST(0.99784299521785),
+ FRAC_CONST(0.99789934972976),
+ FRAC_CONST(0.99795449477828),
+ FRAC_CONST(0.99800845028730),
+ FRAC_CONST(0.99806123597027),
+ FRAC_CONST(0.99811287133042),
+ FRAC_CONST(0.99816337566108),
+ FRAC_CONST(0.99821276804596),
+ FRAC_CONST(0.99826106735952),
+ FRAC_CONST(0.99830829226732),
+ FRAC_CONST(0.99835446122649),
+ FRAC_CONST(0.99839959248609),
+ FRAC_CONST(0.99844370408765),
+ FRAC_CONST(0.99848681386566),
+ FRAC_CONST(0.99852893944805),
+ FRAC_CONST(0.99857009825685),
+ FRAC_CONST(0.99861030750869),
+ FRAC_CONST(0.99864958421549),
+ FRAC_CONST(0.99868794518504),
+ FRAC_CONST(0.99872540702178),
+ FRAC_CONST(0.99876198612738),
+ FRAC_CONST(0.99879769870160),
+ FRAC_CONST(0.99883256074295),
+ FRAC_CONST(0.99886658804953),
+ FRAC_CONST(0.99889979621983),
+ FRAC_CONST(0.99893220065356),
+ FRAC_CONST(0.99896381655254),
+ FRAC_CONST(0.99899465892154),
+ FRAC_CONST(0.99902474256924),
+ FRAC_CONST(0.99905408210916),
+ FRAC_CONST(0.99908269196056),
+ FRAC_CONST(0.99911058634952),
+ FRAC_CONST(0.99913777930986),
+ FRAC_CONST(0.99916428468421),
+ FRAC_CONST(0.99919011612505),
+ FRAC_CONST(0.99921528709576),
+ FRAC_CONST(0.99923981087174),
+ FRAC_CONST(0.99926370054150),
+ FRAC_CONST(0.99928696900779),
+ FRAC_CONST(0.99930962898876),
+ FRAC_CONST(0.99933169301910),
+ FRAC_CONST(0.99935317345126),
+ FRAC_CONST(0.99937408245662),
+ FRAC_CONST(0.99939443202674),
+ FRAC_CONST(0.99941423397457),
+ FRAC_CONST(0.99943349993572),
+ FRAC_CONST(0.99945224136972),
+ FRAC_CONST(0.99947046956130),
+ FRAC_CONST(0.99948819562171),
+ FRAC_CONST(0.99950543049000),
+ FRAC_CONST(0.99952218493439),
+ FRAC_CONST(0.99953846955355),
+ FRAC_CONST(0.99955429477803),
+ FRAC_CONST(0.99956967087154),
+ FRAC_CONST(0.99958460793242),
+ FRAC_CONST(0.99959911589494),
+ FRAC_CONST(0.99961320453077),
+ FRAC_CONST(0.99962688345035),
+ FRAC_CONST(0.99964016210433),
+ FRAC_CONST(0.99965304978499),
+ FRAC_CONST(0.99966555562769),
+ FRAC_CONST(0.99967768861231),
+ FRAC_CONST(0.99968945756473),
+ FRAC_CONST(0.99970087115825),
+ FRAC_CONST(0.99971193791510),
+ FRAC_CONST(0.99972266620792),
+ FRAC_CONST(0.99973306426121),
+ FRAC_CONST(0.99974314015288),
+ FRAC_CONST(0.99975290181568),
+ FRAC_CONST(0.99976235703876),
+ FRAC_CONST(0.99977151346914),
+ FRAC_CONST(0.99978037861326),
+ FRAC_CONST(0.99978895983845),
+ FRAC_CONST(0.99979726437448),
+ FRAC_CONST(0.99980529931507),
+ FRAC_CONST(0.99981307161943),
+ FRAC_CONST(0.99982058811377),
+ FRAC_CONST(0.99982785549283),
+ FRAC_CONST(0.99983488032144),
+ FRAC_CONST(0.99984166903600),
+ FRAC_CONST(0.99984822794606),
+ FRAC_CONST(0.99985456323584),
+ FRAC_CONST(0.99986068096572),
+ FRAC_CONST(0.99986658707386),
+ FRAC_CONST(0.99987228737764),
+ FRAC_CONST(0.99987778757524),
+ FRAC_CONST(0.99988309324717),
+ FRAC_CONST(0.99988820985777),
+ FRAC_CONST(0.99989314275675),
+ FRAC_CONST(0.99989789718072),
+ FRAC_CONST(0.99990247825468),
+ FRAC_CONST(0.99990689099357),
+ FRAC_CONST(0.99991114030376),
+ FRAC_CONST(0.99991523098456),
+ FRAC_CONST(0.99991916772971),
+ FRAC_CONST(0.99992295512891),
+ FRAC_CONST(0.99992659766930),
+ FRAC_CONST(0.99993009973692),
+ FRAC_CONST(0.99993346561824),
+ FRAC_CONST(0.99993669950161),
+ FRAC_CONST(0.99993980547870),
+ FRAC_CONST(0.99994278754604),
+ FRAC_CONST(0.99994564960642),
+ FRAC_CONST(0.99994839547033),
+ FRAC_CONST(0.99995102885747),
+ FRAC_CONST(0.99995355339809),
+ FRAC_CONST(0.99995597263451),
+ FRAC_CONST(0.99995829002249),
+ FRAC_CONST(0.99996050893264),
+ FRAC_CONST(0.99996263265183),
+ FRAC_CONST(0.99996466438460),
+ FRAC_CONST(0.99996660725452),
+ FRAC_CONST(0.99996846430558),
+ FRAC_CONST(0.99997023850356),
+ FRAC_CONST(0.99997193273736),
+ FRAC_CONST(0.99997354982037),
+ FRAC_CONST(0.99997509249183),
+ FRAC_CONST(0.99997656341810),
+ FRAC_CONST(0.99997796519400),
+ FRAC_CONST(0.99997930034415),
+ FRAC_CONST(0.99998057132421),
+ FRAC_CONST(0.99998178052220),
+ FRAC_CONST(0.99998293025975),
+ FRAC_CONST(0.99998402279338),
+ FRAC_CONST(0.99998506031574),
+ FRAC_CONST(0.99998604495686),
+ FRAC_CONST(0.99998697878536),
+ FRAC_CONST(0.99998786380966),
+ FRAC_CONST(0.99998870197921),
+ FRAC_CONST(0.99998949518567),
+ FRAC_CONST(0.99999024526408),
+ FRAC_CONST(0.99999095399401),
+ FRAC_CONST(0.99999162310077),
+ FRAC_CONST(0.99999225425649),
+ FRAC_CONST(0.99999284908128),
+ FRAC_CONST(0.99999340914435),
+ FRAC_CONST(0.99999393596510),
+ FRAC_CONST(0.99999443101421),
+ FRAC_CONST(0.99999489571473),
+ FRAC_CONST(0.99999533144314),
+ FRAC_CONST(0.99999573953040),
+ FRAC_CONST(0.99999612126300),
+ FRAC_CONST(0.99999647788395),
+ FRAC_CONST(0.99999681059383),
+ FRAC_CONST(0.99999712055178),
+ FRAC_CONST(0.99999740887647),
+ FRAC_CONST(0.99999767664709),
+ FRAC_CONST(0.99999792490431),
+ FRAC_CONST(0.99999815465123),
+ FRAC_CONST(0.99999836685427),
+ FRAC_CONST(0.99999856244415),
+ FRAC_CONST(0.99999874231676),
+ FRAC_CONST(0.99999890733405),
+ FRAC_CONST(0.99999905832493),
+ FRAC_CONST(0.99999919608613),
+ FRAC_CONST(0.99999932138304),
+ FRAC_CONST(0.99999943495056),
+ FRAC_CONST(0.99999953749392),
+ FRAC_CONST(0.99999962968950),
+ FRAC_CONST(0.99999971218563),
+ FRAC_CONST(0.99999978560337),
+ FRAC_CONST(0.99999985053727),
+ FRAC_CONST(0.99999990755616),
+ FRAC_CONST(0.99999995720387)
};
-real_t kbd_long_960[] = {
- COEF_CONST(0.0003021562530949),
- COEF_CONST(0.0004452267024786),
- COEF_CONST(0.0005674947527496),
- COEF_CONST(0.0006812465553466),
- COEF_CONST(0.0007910496776387),
- COEF_CONST(0.0008991655033895),
- COEF_CONST(0.0010068978259384),
- COEF_CONST(0.0011150758515751),
- COEF_CONST(0.0012242653193642),
- COEF_CONST(0.0013348735658205),
- COEF_CONST(0.0014472068670273),
- COEF_CONST(0.0015615039850448),
- COEF_CONST(0.0016779568885263),
- COEF_CONST(0.0017967241232412),
- COEF_CONST(0.0019179397560955),
- COEF_CONST(0.0020417195415393),
- COEF_CONST(0.0021681652836642),
- COEF_CONST(0.0022973679910599),
- COEF_CONST(0.0024294102029937),
- COEF_CONST(0.0025643677339078),
- COEF_CONST(0.0027023110014772),
- COEF_CONST(0.0028433060512612),
- COEF_CONST(0.0029874153568025),
- COEF_CONST(0.0031346984511728),
- COEF_CONST(0.0032852124303662),
- COEF_CONST(0.0034390123581190),
- COEF_CONST(0.0035961515940931),
- COEF_CONST(0.0037566820618961),
- COEF_CONST(0.0039206544694386),
- COEF_CONST(0.0040881184912194),
- COEF_CONST(0.0042591229199617),
- COEF_CONST(0.0044337157933972),
- COEF_CONST(0.0046119445007641),
- COEF_CONST(0.0047938558726415),
- COEF_CONST(0.0049794962570131),
- COEF_CONST(0.0051689115838900),
- COEF_CONST(0.0053621474203763),
- COEF_CONST(0.0055592490177131),
- COEF_CONST(0.0057602613515573),
- COEF_CONST(0.0059652291565289),
- COEF_CONST(0.0061741969558843),
- COEF_CONST(0.0063872090870253),
- COEF_CONST(0.0066043097234387),
- COEF_CONST(0.0068255428935640),
- COEF_CONST(0.0070509524970088),
- COEF_CONST(0.0072805823184660),
- COEF_CONST(0.0075144760396340),
- COEF_CONST(0.0077526772493942),
- COEF_CONST(0.0079952294524673),
- COEF_CONST(0.0082421760767325),
- COEF_CONST(0.0084935604793733),
- COEF_CONST(0.0087494259519870),
- COEF_CONST(0.0090098157247792),
- COEF_CONST(0.0092747729699467),
- COEF_CONST(0.0095443408043399),
- COEF_CONST(0.0098185622914832),
- COEF_CONST(0.0100974804430226),
- COEF_CONST(0.0103811382196612),
- COEF_CONST(0.0106695785316351),
- COEF_CONST(0.0109628442387771),
- COEF_CONST(0.0112609781502091),
- COEF_CONST(0.0115640230236993),
- COEF_CONST(0.0118720215647169),
- COEF_CONST(0.0121850164252137),
- COEF_CONST(0.0125030502021561),
- COEF_CONST(0.0128261654358321),
- COEF_CONST(0.0131544046079532),
- COEF_CONST(0.0134878101395681),
- COEF_CONST(0.0138264243888068),
- COEF_CONST(0.0141702896484671),
- COEF_CONST(0.0145194481434592),
- COEF_CONST(0.0148739420281182),
- COEF_CONST(0.0152338133833959),
- COEF_CONST(0.0155991042139432),
- COEF_CONST(0.0159698564450882),
- COEF_CONST(0.0163461119197227),
- COEF_CONST(0.0167279123950996),
- COEF_CONST(0.0171152995395520),
- COEF_CONST(0.0175083149291368),
- COEF_CONST(0.0179070000442104),
- COEF_CONST(0.0183113962659409),
- COEF_CONST(0.0187215448727609),
- COEF_CONST(0.0191374870367659),
- COEF_CONST(0.0195592638200623),
- COEF_CONST(0.0199869161710679),
- COEF_CONST(0.0204204849207691),
- COEF_CONST(0.0208600107789370),
- COEF_CONST(0.0213055343303066),
- COEF_CONST(0.0217570960307201),
- COEF_CONST(0.0222147362032386),
- COEF_CONST(0.0226784950342228),
- COEF_CONST(0.0231484125693867),
- COEF_CONST(0.0236245287098244),
- COEF_CONST(0.0241068832080138),
- COEF_CONST(0.0245955156637973),
- COEF_CONST(0.0250904655203431),
- COEF_CONST(0.0255917720600868),
- COEF_CONST(0.0260994744006559),
- COEF_CONST(0.0266136114907790),
- COEF_CONST(0.0271342221061795),
- COEF_CONST(0.0276613448454576),
- COEF_CONST(0.0281950181259587),
- COEF_CONST(0.0287352801796329),
- COEF_CONST(0.0292821690488833),
- COEF_CONST(0.0298357225824074),
- COEF_CONST(0.0303959784310299),
- COEF_CONST(0.0309629740435296),
- COEF_CONST(0.0315367466624615),
- COEF_CONST(0.0321173333199732),
- COEF_CONST(0.0327047708336193),
- COEF_CONST(0.0332990958021720),
- COEF_CONST(0.0339003446014307),
- COEF_CONST(0.0345085533800302),
- COEF_CONST(0.0351237580552491),
- COEF_CONST(0.0357459943088193),
- COEF_CONST(0.0363752975827358),
- COEF_CONST(0.0370117030750704),
- COEF_CONST(0.0376552457357870),
- COEF_CONST(0.0383059602625614),
- COEF_CONST(0.0389638810966056),
- COEF_CONST(0.0396290424184964),
- COEF_CONST(0.0403014781440112),
- COEF_CONST(0.0409812219199691),
- COEF_CONST(0.0416683071200799),
- COEF_CONST(0.0423627668408009),
- COEF_CONST(0.0430646338972016),
- COEF_CONST(0.0437739408188385),
- COEF_CONST(0.0444907198456388),
- COEF_CONST(0.0452150029237951),
- COEF_CONST(0.0459468217016708),
- COEF_CONST(0.0466862075257170),
- COEF_CONST(0.0474331914364021),
- COEF_CONST(0.0481878041641539),
- COEF_CONST(0.0489500761253148),
- COEF_CONST(0.0497200374181119),
- COEF_CONST(0.0504977178186404),
- COEF_CONST(0.0512831467768636),
- COEF_CONST(0.0520763534126273),
- COEF_CONST(0.0528773665116913),
- COEF_CONST(0.0536862145217772),
- COEF_CONST(0.0545029255486345),
- COEF_CONST(0.0553275273521232),
- COEF_CONST(0.0561600473423164),
- COEF_CONST(0.0570005125756209),
- COEF_CONST(0.0578489497509179),
- COEF_CONST(0.0587053852057233),
- COEF_CONST(0.0595698449123695),
- COEF_CONST(0.0604423544742077),
- COEF_CONST(0.0613229391218317),
- COEF_CONST(0.0622116237093247),
- COEF_CONST(0.0631084327105284),
- COEF_CONST(0.0640133902153352),
- COEF_CONST(0.0649265199260043),
- COEF_CONST(0.0658478451535027),
- COEF_CONST(0.0667773888138695),
- COEF_CONST(0.0677151734246072),
- COEF_CONST(0.0686612211010977),
- COEF_CONST(0.0696155535530446),
- COEF_CONST(0.0705781920809429),
- COEF_CONST(0.0715491575725758),
- COEF_CONST(0.0725284704995383),
- COEF_CONST(0.0735161509137906),
- COEF_CONST(0.0745122184442388),
- COEF_CONST(0.0755166922933461),
- COEF_CONST(0.0765295912337720),
- COEF_CONST(0.0775509336050437),
- COEF_CONST(0.0785807373102561),
- COEF_CONST(0.0796190198128044),
- COEF_CONST(0.0806657981331473),
- COEF_CONST(0.0817210888456026),
- COEF_CONST(0.0827849080751753),
- COEF_CONST(0.0838572714944183),
- COEF_CONST(0.0849381943203265),
- COEF_CONST(0.0860276913112652),
- COEF_CONST(0.0871257767639319),
- COEF_CONST(0.0882324645103534),
- COEF_CONST(0.0893477679149177),
- COEF_CONST(0.0904716998714418),
- COEF_CONST(0.0916042728002747),
- COEF_CONST(0.0927454986454381),
- COEF_CONST(0.0938953888718020),
- COEF_CONST(0.0950539544622996),
- COEF_CONST(0.0962212059151784),
- COEF_CONST(0.0973971532412897),
- COEF_CONST(0.0985818059614169),
- COEF_CONST(0.0997751731036425),
- COEF_CONST(0.1009772632007537),
- COEF_CONST(0.1021880842876888),
- COEF_CONST(0.1034076438990227),
- COEF_CONST(0.1046359490664932),
- COEF_CONST(0.1058730063165681),
- COEF_CONST(0.1071188216680533),
- COEF_CONST(0.1083734006297428),
- COEF_CONST(0.1096367481981100),
- COEF_CONST(0.1109088688550422),
- COEF_CONST(0.1121897665656167),
- COEF_CONST(0.1134794447759207),
- COEF_CONST(0.1147779064109143),
- COEF_CONST(0.1160851538723372),
- COEF_CONST(0.1174011890366591),
- COEF_CONST(0.1187260132530751),
- COEF_CONST(0.1200596273415457),
- COEF_CONST(0.1214020315908810),
- COEF_CONST(0.1227532257568719),
- COEF_CONST(0.1241132090604651),
- COEF_CONST(0.1254819801859856),
- COEF_CONST(0.1268595372794049),
- COEF_CONST(0.1282458779466558),
- COEF_CONST(0.1296409992519942),
- COEF_CONST(0.1310448977164081),
- COEF_CONST(0.1324575693160745),
- COEF_CONST(0.1338790094808633),
- COEF_CONST(0.1353092130928902),
- COEF_CONST(0.1367481744851168),
- COEF_CONST(0.1381958874400010),
- COEF_CONST(0.1396523451881945),
- COEF_CONST(0.1411175404072910),
- COEF_CONST(0.1425914652206223),
- COEF_CONST(0.1440741111961058),
- COEF_CONST(0.1455654693451402),
- COEF_CONST(0.1470655301215526),
- COEF_CONST(0.1485742834205956),
- COEF_CONST(0.1500917185779945),
- COEF_CONST(0.1516178243690463),
- COEF_CONST(0.1531525890077689),
- COEF_CONST(0.1546960001461024),
- COEF_CONST(0.1562480448731608),
- COEF_CONST(0.1578087097145364),
- COEF_CONST(0.1593779806316558),
- COEF_CONST(0.1609558430211876),
- COEF_CONST(0.1625422817145027),
- COEF_CONST(0.1641372809771871),
- COEF_CONST(0.1657408245086070),
- COEF_CONST(0.1673528954415270),
- COEF_CONST(0.1689734763417811),
- COEF_CONST(0.1706025492079969),
- COEF_CONST(0.1722400954713725),
- COEF_CONST(0.1738860959955082),
- COEF_CONST(0.1755405310762898),
- COEF_CONST(0.1772033804418275),
- COEF_CONST(0.1788746232524467),
- COEF_CONST(0.1805542381007349),
- COEF_CONST(0.1822422030116404),
- COEF_CONST(0.1839384954426268),
- COEF_CONST(0.1856430922838810),
- COEF_CONST(0.1873559698585756),
- COEF_CONST(0.1890771039231862),
- COEF_CONST(0.1908064696678625),
- COEF_CONST(0.1925440417168546),
- COEF_CONST(0.1942897941289937),
- COEF_CONST(0.1960437003982277),
- COEF_CONST(0.1978057334542116),
- COEF_CONST(0.1995758656629525),
- COEF_CONST(0.2013540688275098),
- COEF_CONST(0.2031403141887507),
- COEF_CONST(0.2049345724261595),
- COEF_CONST(0.2067368136587033),
- COEF_CONST(0.2085470074457521),
- COEF_CONST(0.2103651227880538),
- COEF_CONST(0.2121911281287646),
- COEF_CONST(0.2140249913545346),
- COEF_CONST(0.2158666797966480),
- COEF_CONST(0.2177161602322188),
- COEF_CONST(0.2195733988854414),
- COEF_CONST(0.2214383614288963),
- COEF_CONST(0.2233110129849106),
- COEF_CONST(0.2251913181269740),
- COEF_CONST(0.2270792408812093),
- COEF_CONST(0.2289747447278976),
- COEF_CONST(0.2308777926030592),
- COEF_CONST(0.2327883469000885),
- COEF_CONST(0.2347063694714437),
- COEF_CONST(0.2366318216303919),
- COEF_CONST(0.2385646641528076),
- COEF_CONST(0.2405048572790267),
- COEF_CONST(0.2424523607157545),
- COEF_CONST(0.2444071336380283),
- COEF_CONST(0.2463691346912334),
- COEF_CONST(0.2483383219931741),
- COEF_CONST(0.2503146531361985),
- COEF_CONST(0.2522980851893767),
- COEF_CONST(0.2542885747007335),
- COEF_CONST(0.2562860776995335),
- COEF_CONST(0.2582905496986215),
- COEF_CONST(0.2603019456968142),
- COEF_CONST(0.2623202201813464),
- COEF_CONST(0.2643453271303700),
- COEF_CONST(0.2663772200155053),
- COEF_CONST(0.2684158518044454),
- COEF_CONST(0.2704611749636135),
- COEF_CONST(0.2725131414608710),
- COEF_CONST(0.2745717027682799),
- COEF_CONST(0.2766368098649151),
- COEF_CONST(0.2787084132397296),
- COEF_CONST(0.2807864628944707),
- COEF_CONST(0.2828709083466482),
- COEF_CONST(0.2849616986325523),
- COEF_CONST(0.2870587823103237),
- COEF_CONST(0.2891621074630737),
- COEF_CONST(0.2912716217020546),
- COEF_CONST(0.2933872721698803),
- COEF_CONST(0.2955090055437973),
- COEF_CONST(0.2976367680390041),
- COEF_CONST(0.2997705054120213),
- COEF_CONST(0.3019101629641097),
- COEF_CONST(0.3040556855447379),
- COEF_CONST(0.3062070175550981),
- COEF_CONST(0.3083641029516701),
- COEF_CONST(0.3105268852498334),
- COEF_CONST(0.3126953075275265),
- COEF_CONST(0.3148693124289546),
- COEF_CONST(0.3170488421683428),
- COEF_CONST(0.3192338385337370),
- COEF_CONST(0.3214242428908514),
- COEF_CONST(0.3236199961869606),
- COEF_CONST(0.3258210389548392),
- COEF_CONST(0.3280273113167459),
- COEF_CONST(0.3302387529884521),
- COEF_CONST(0.3324553032833160),
- COEF_CONST(0.3346769011164010),
- COEF_CONST(0.3369034850086373),
- COEF_CONST(0.3391349930910280),
- COEF_CONST(0.3413713631088974),
- COEF_CONST(0.3436125324261830),
- COEF_CONST(0.3458584380297697),
- COEF_CONST(0.3481090165338656),
- COEF_CONST(0.3503642041844199),
- COEF_CONST(0.3526239368635820),
- COEF_CONST(0.3548881500942010),
- COEF_CONST(0.3571567790443668),
- COEF_CONST(0.3594297585319891),
- COEF_CONST(0.3617070230294185),
- COEF_CONST(0.3639885066681048),
- COEF_CONST(0.3662741432432950),
- COEF_CONST(0.3685638662187693),
- COEF_CONST(0.3708576087316147),
- COEF_CONST(0.3731553035970366),
- COEF_CONST(0.3754568833132069),
- COEF_CONST(0.3777622800661488),
- COEF_CONST(0.3800714257346570),
- COEF_CONST(0.3823842518952546),
- COEF_CONST(0.3847006898271841),
- COEF_CONST(0.3870206705174334),
- COEF_CONST(0.3893441246657958),
- COEF_CONST(0.3916709826899639),
- COEF_CONST(0.3940011747306560),
- COEF_CONST(0.3963346306567764),
- COEF_CONST(0.3986712800706062),
- COEF_CONST(0.4010110523130271),
- COEF_CONST(0.4033538764687756),
- COEF_CONST(0.4056996813717284),
- COEF_CONST(0.4080483956102172),
- COEF_CONST(0.4103999475323736),
- COEF_CONST(0.4127542652515031),
- COEF_CONST(0.4151112766514873),
- COEF_CONST(0.4174709093922143),
- COEF_CONST(0.4198330909150365),
- COEF_CONST(0.4221977484482556),
- COEF_CONST(0.4245648090126334),
- COEF_CONST(0.4269341994269293),
- COEF_CONST(0.4293058463134616),
- COEF_CONST(0.4316796761036958),
- COEF_CONST(0.4340556150438547),
- COEF_CONST(0.4364335892005536),
- COEF_CONST(0.4388135244664580),
- COEF_CONST(0.4411953465659639),
- COEF_CONST(0.4435789810609000),
- COEF_CONST(0.4459643533562509),
- COEF_CONST(0.4483513887059016),
- COEF_CONST(0.4507400122184019),
- COEF_CONST(0.4531301488627497),
- COEF_CONST(0.4555217234741947),
- COEF_CONST(0.4579146607600593),
- COEF_CONST(0.4603088853055777),
- COEF_CONST(0.4627043215797521),
- COEF_CONST(0.4651008939412254),
- COEF_CONST(0.4674985266441709),
- COEF_CONST(0.4698971438441951),
- COEF_CONST(0.4722966696042580),
- COEF_CONST(0.4746970279006055),
- COEF_CONST(0.4770981426287164),
- COEF_CONST(0.4794999376092619),
- COEF_CONST(0.4819023365940778),
- COEF_CONST(0.4843052632721476),
- COEF_CONST(0.4867086412755978),
- COEF_CONST(0.4891123941857028),
- COEF_CONST(0.4915164455388997),
- COEF_CONST(0.4939207188328126),
- COEF_CONST(0.4963251375322855),
- COEF_CONST(0.4987296250754225),
- COEF_CONST(0.5011341048796359),
- COEF_CONST(0.5035385003477012),
- COEF_CONST(0.5059427348738168),
- COEF_CONST(0.5083467318496706),
- COEF_CONST(0.5107504146705106),
- COEF_CONST(0.5131537067412193),
- COEF_CONST(0.5155565314823923),
- COEF_CONST(0.5179588123364193),
- COEF_CONST(0.5203604727735667),
- COEF_CONST(0.5227614362980630),
- COEF_CONST(0.5251616264541841),
- COEF_CONST(0.5275609668323384),
- COEF_CONST(0.5299593810751532),
- COEF_CONST(0.5323567928835578),
- COEF_CONST(0.5347531260228663),
- COEF_CONST(0.5371483043288580),
- COEF_CONST(0.5395422517138538),
- COEF_CONST(0.5419348921727899),
- COEF_CONST(0.5443261497892862),
- COEF_CONST(0.5467159487417104),
- COEF_CONST(0.5491042133092364),
- COEF_CONST(0.5514908678778958),
- COEF_CONST(0.5538758369466227),
- COEF_CONST(0.5562590451332913),
- COEF_CONST(0.5586404171807443),
- COEF_CONST(0.5610198779628133),
- COEF_CONST(0.5633973524903286),
- COEF_CONST(0.5657727659171199),
- COEF_CONST(0.5681460435460047),
- COEF_CONST(0.5705171108347663),
- COEF_CONST(0.5728858934021188),
- COEF_CONST(0.5752523170336598),
- COEF_CONST(0.5776163076878088),
- COEF_CONST(0.5799777915017323),
- COEF_CONST(0.5823366947972535),
- COEF_CONST(0.5846929440867458),
- COEF_CONST(0.5870464660790119),
- COEF_CONST(0.5893971876851449),
- COEF_CONST(0.5917450360243719),
- COEF_CONST(0.5940899384298793),
- COEF_CONST(0.5964318224546208),
- COEF_CONST(0.5987706158771039),
- COEF_CONST(0.6011062467071583),
- COEF_CONST(0.6034386431916822),
- COEF_CONST(0.6057677338203681),
- COEF_CONST(0.6080934473314057),
- COEF_CONST(0.6104157127171639),
- COEF_CONST(0.6127344592298474),
- COEF_CONST(0.6150496163871310),
- COEF_CONST(0.6173611139777690),
- COEF_CONST(0.6196688820671789),
- COEF_CONST(0.6219728510029997),
- COEF_CONST(0.6242729514206247),
- COEF_CONST(0.6265691142487051),
- COEF_CONST(0.6288612707146283),
- COEF_CONST(0.6311493523499663),
- COEF_CONST(0.6334332909958958),
- COEF_CONST(0.6357130188085891),
- COEF_CONST(0.6379884682645743),
- COEF_CONST(0.6402595721660647),
- COEF_CONST(0.6425262636462578),
- COEF_CONST(0.6447884761746012),
- COEF_CONST(0.6470461435620266),
- COEF_CONST(0.6492991999661505),
- COEF_CONST(0.6515475798964411),
- COEF_CONST(0.6537912182193508),
- COEF_CONST(0.6560300501634142),
- COEF_CONST(0.6582640113243098),
- COEF_CONST(0.6604930376698862),
- COEF_CONST(0.6627170655451516),
- COEF_CONST(0.6649360316772256),
- COEF_CONST(0.6671498731802533),
- COEF_CONST(0.6693585275602818),
- COEF_CONST(0.6715619327200959),
- COEF_CONST(0.6737600269640164),
- COEF_CONST(0.6759527490026566),
- COEF_CONST(0.6781400379576392),
- COEF_CONST(0.6803218333662715),
- COEF_CONST(0.6824980751861787),
- COEF_CONST(0.6846687037998949),
- COEF_CONST(0.6868336600194123),
- COEF_CONST(0.6889928850906855),
- COEF_CONST(0.6911463206980928),
- COEF_CONST(0.6932939089688525),
- COEF_CONST(0.6954355924773949),
- COEF_CONST(0.6975713142496884),
- COEF_CONST(0.6997010177675195),
- COEF_CONST(0.7018246469727265),
- COEF_CONST(0.7039421462713862),
- COEF_CONST(0.7060534605379528),
- COEF_CONST(0.7081585351193496),
- COEF_CONST(0.7102573158390105),
- COEF_CONST(0.7123497490008750),
- COEF_CONST(0.7144357813933307),
- COEF_CONST(0.7165153602931092),
- COEF_CONST(0.7185884334691287),
- COEF_CONST(0.7206549491862871),
- COEF_CONST(0.7227148562092042),
- COEF_CONST(0.7247681038059106),
- COEF_CONST(0.7268146417514855),
- COEF_CONST(0.7288544203316418),
- COEF_CONST(0.7308873903462577),
- COEF_CONST(0.7329135031128549),
- COEF_CONST(0.7349327104700221),
- COEF_CONST(0.7369449647807855),
- COEF_CONST(0.7389502189359237),
- COEF_CONST(0.7409484263572271),
- COEF_CONST(0.7429395410007016),
- COEF_CONST(0.7449235173597176),
- COEF_CONST(0.7469003104681008),
- COEF_CONST(0.7488698759031670),
- COEF_CONST(0.7508321697887005),
- COEF_CONST(0.7527871487978728),
- COEF_CONST(0.7547347701561059),
- COEF_CONST(0.7566749916438754),
- COEF_CONST(0.7586077715994560),
- COEF_CONST(0.7605330689216074),
- COEF_CONST(0.7624508430722016),
- COEF_CONST(0.7643610540787891),
- COEF_CONST(0.7662636625371070),
- COEF_CONST(0.7681586296135255),
- COEF_CONST(0.7700459170474343),
- COEF_CONST(0.7719254871535672),
- COEF_CONST(0.7737973028242671),
- COEF_CONST(0.7756613275316875),
- COEF_CONST(0.7775175253299340),
- COEF_CONST(0.7793658608571425),
- COEF_CONST(0.7812062993374951),
- COEF_CONST(0.7830388065831744),
- COEF_CONST(0.7848633489962533),
- COEF_CONST(0.7866798935705233),
- COEF_CONST(0.7884884078932579),
- COEF_CONST(0.7902888601469138),
- COEF_CONST(0.7920812191107668),
- COEF_CONST(0.7938654541624850),
- COEF_CONST(0.7956415352796368),
- COEF_CONST(0.7974094330411343),
- COEF_CONST(0.7991691186286133),
- COEF_CONST(0.8009205638277465),
- COEF_CONST(0.8026637410294932),
- COEF_CONST(0.8043986232312831),
- COEF_CONST(0.8061251840381346),
- COEF_CONST(0.8078433976637077),
- COEF_CONST(0.8095532389312917),
- COEF_CONST(0.8112546832747255),
- COEF_CONST(0.8129477067392539),
- COEF_CONST(0.8146322859823164),
- COEF_CONST(0.8163083982742698),
- COEF_CONST(0.8179760214990457),
- COEF_CONST(0.8196351341547393),
- COEF_CONST(0.8212857153541345),
- COEF_CONST(0.8229277448251595),
- COEF_CONST(0.8245612029112778),
- COEF_CONST(0.8261860705718113),
- COEF_CONST(0.8278023293821971),
- COEF_CONST(0.8294099615341773),
- COEF_CONST(0.8310089498359212),
- COEF_CONST(0.8325992777120815),
- COEF_CONST(0.8341809292037831),
- COEF_CONST(0.8357538889685445),
- COEF_CONST(0.8373181422801330),
- COEF_CONST(0.8388736750283521),
- COEF_CONST(0.8404204737187619),
- COEF_CONST(0.8419585254723335),
- COEF_CONST(0.8434878180250348),
- COEF_CONST(0.8450083397273509),
- COEF_CONST(0.8465200795437368),
- COEF_CONST(0.8480230270520029),
- COEF_CONST(0.8495171724426350),
- COEF_CONST(0.8510025065180464),
- COEF_CONST(0.8524790206917633),
- COEF_CONST(0.8539467069875448),
- COEF_CONST(0.8554055580384357),
- COEF_CONST(0.8568555670857525),
- COEF_CONST(0.8582967279780043),
- COEF_CONST(0.8597290351697464),
- COEF_CONST(0.8611524837203691),
- COEF_CONST(0.8625670692928198),
- COEF_CONST(0.8639727881522599),
- COEF_CONST(0.8653696371646555),
- COEF_CONST(0.8667576137953045),
- COEF_CONST(0.8681367161072958),
- COEF_CONST(0.8695069427599065),
- COEF_CONST(0.8708682930069319),
- COEF_CONST(0.8722207666949527),
- COEF_CONST(0.8735643642615368),
- COEF_CONST(0.8748990867333771),
- COEF_CONST(0.8762249357243662),
- COEF_CONST(0.8775419134336067),
- COEF_CONST(0.8788500226433579),
- COEF_CONST(0.8801492667169208),
- COEF_CONST(0.8814396495964587),
- COEF_CONST(0.8827211758007560),
- COEF_CONST(0.8839938504229149),
- COEF_CONST(0.8852576791279895),
- COEF_CONST(0.8865126681505587),
- COEF_CONST(0.8877588242922386),
- COEF_CONST(0.8889961549191320),
- COEF_CONST(0.8902246679592184),
- COEF_CONST(0.8914443718996848),
- COEF_CONST(0.8926552757841945),
- COEF_CONST(0.8938573892100969),
- COEF_CONST(0.8950507223255798),
- COEF_CONST(0.8962352858267605),
- COEF_CONST(0.8974110909547198),
- COEF_CONST(0.8985781494924783),
- COEF_CONST(0.8997364737619142),
- COEF_CONST(0.9008860766206249),
- COEF_CONST(0.9020269714587307),
- COEF_CONST(0.9031591721956235),
- COEF_CONST(0.9042826932766591),
- COEF_CONST(0.9053975496697941),
- COEF_CONST(0.9065037568621681),
- COEF_CONST(0.9076013308566311),
- COEF_CONST(0.9086902881682180),
- COEF_CONST(0.9097706458205682),
- COEF_CONST(0.9108424213422940),
- COEF_CONST(0.9119056327632955),
- COEF_CONST(0.9129602986110235),
- COEF_CONST(0.9140064379066919),
- COEF_CONST(0.9150440701614393),
- COEF_CONST(0.9160732153724396),
- COEF_CONST(0.9170938940189634),
- COEF_CONST(0.9181061270583908),
- COEF_CONST(0.9191099359221748),
- COEF_CONST(0.9201053425117579),
- COEF_CONST(0.9210923691944400),
- COEF_CONST(0.9220710387992010),
- COEF_CONST(0.9230413746124764),
- COEF_CONST(0.9240034003738882),
- COEF_CONST(0.9249571402719298),
- COEF_CONST(0.9259026189396085),
- COEF_CONST(0.9268398614500427),
- COEF_CONST(0.9277688933120170),
- COEF_CONST(0.9286897404654957),
- COEF_CONST(0.9296024292770939),
- COEF_CONST(0.9305069865355076),
- COEF_CONST(0.9314034394469048),
- COEF_CONST(0.9322918156302762),
- COEF_CONST(0.9331721431127471),
- COEF_CONST(0.9340444503248519),
- COEF_CONST(0.9349087660957711),
- COEF_CONST(0.9357651196485313),
- COEF_CONST(0.9366135405951697),
- COEF_CONST(0.9374540589318637),
- COEF_CONST(0.9382867050340261),
- COEF_CONST(0.9391115096513655),
- COEF_CONST(0.9399285039029165),
- COEF_CONST(0.9407377192720349),
- COEF_CONST(0.9415391876013639),
- COEF_CONST(0.9423329410877687),
- COEF_CONST(0.9431190122772415),
- COEF_CONST(0.9438974340597782),
- COEF_CONST(0.9446682396642262),
- COEF_CONST(0.9454314626531054),
- COEF_CONST(0.9461871369174033),
- COEF_CONST(0.9469352966713429),
- COEF_CONST(0.9476759764471278),
- COEF_CONST(0.9484092110896616),
- COEF_CONST(0.9491350357512457),
- COEF_CONST(0.9498534858862532),
- COEF_CONST(0.9505645972457831),
- COEF_CONST(0.9512684058722927),
- COEF_CONST(0.9519649480942105),
- COEF_CONST(0.9526542605205314),
- COEF_CONST(0.9533363800353921),
- COEF_CONST(0.9540113437926313),
- COEF_CONST(0.9546791892103320),
- COEF_CONST(0.9553399539653500),
- COEF_CONST(0.9559936759878265),
- COEF_CONST(0.9566403934556893),
- COEF_CONST(0.9572801447891388),
- COEF_CONST(0.9579129686451244),
- COEF_CONST(0.9585389039118085),
- COEF_CONST(0.9591579897030224),
- COEF_CONST(0.9597702653527108),
- COEF_CONST(0.9603757704093711),
- COEF_CONST(0.9609745446304828),
- COEF_CONST(0.9615666279769324),
- COEF_CONST(0.9621520606074324),
- COEF_CONST(0.9627308828729358),
- COEF_CONST(0.9633031353110477),
- COEF_CONST(0.9638688586404335),
- COEF_CONST(0.9644280937552258),
- COEF_CONST(0.9649808817194311),
- COEF_CONST(0.9655272637613366),
- COEF_CONST(0.9660672812679171),
- COEF_CONST(0.9666009757792454),
- COEF_CONST(0.9671283889829055),
- COEF_CONST(0.9676495627084089),
- COEF_CONST(0.9681645389216160),
- COEF_CONST(0.9686733597191652),
- COEF_CONST(0.9691760673229058),
- COEF_CONST(0.9696727040743406),
- COEF_CONST(0.9701633124290767),
- COEF_CONST(0.9706479349512860),
- COEF_CONST(0.9711266143081750),
- COEF_CONST(0.9715993932644684),
- COEF_CONST(0.9720663146769026),
- COEF_CONST(0.9725274214887337),
- COEF_CONST(0.9729827567242596),
- COEF_CONST(0.9734323634833574),
- COEF_CONST(0.9738762849360358),
- COEF_CONST(0.9743145643170059),
- COEF_CONST(0.9747472449202687),
- COEF_CONST(0.9751743700937215),
- COEF_CONST(0.9755959832337850),
- COEF_CONST(0.9760121277800496),
- COEF_CONST(0.9764228472099433),
- COEF_CONST(0.9768281850334235),
- COEF_CONST(0.9772281847876897),
- COEF_CONST(0.9776228900319223),
- COEF_CONST(0.9780123443420448),
- COEF_CONST(0.9783965913055132),
- COEF_CONST(0.9787756745161313),
- COEF_CONST(0.9791496375688939),
- COEF_CONST(0.9795185240548578),
- COEF_CONST(0.9798823775560431),
- COEF_CONST(0.9802412416403639),
- COEF_CONST(0.9805951598565897),
- COEF_CONST(0.9809441757293399),
- COEF_CONST(0.9812883327541090),
- COEF_CONST(0.9816276743923267),
- COEF_CONST(0.9819622440664515),
- COEF_CONST(0.9822920851550995),
- COEF_CONST(0.9826172409882086),
- COEF_CONST(0.9829377548422400),
- COEF_CONST(0.9832536699354163),
- COEF_CONST(0.9835650294229984),
- COEF_CONST(0.9838718763926001),
- COEF_CONST(0.9841742538595437),
- COEF_CONST(0.9844722047622547),
- COEF_CONST(0.9847657719576983),
- COEF_CONST(0.9850549982168574),
- COEF_CONST(0.9853399262202529),
- COEF_CONST(0.9856205985535073),
- COEF_CONST(0.9858970577029519),
- COEF_CONST(0.9861693460512790),
- COEF_CONST(0.9864375058732389),
- COEF_CONST(0.9867015793313820),
- COEF_CONST(0.9869616084718489),
- COEF_CONST(0.9872176352202061),
- COEF_CONST(0.9874697013773301),
- COEF_CONST(0.9877178486153397),
- COEF_CONST(0.9879621184735767),
- COEF_CONST(0.9882025523546365),
- COEF_CONST(0.9884391915204485),
- COEF_CONST(0.9886720770884069),
- COEF_CONST(0.9889012500275530),
- COEF_CONST(0.9891267511548089),
- COEF_CONST(0.9893486211312621),
- COEF_CONST(0.9895669004585049),
- COEF_CONST(0.9897816294750255),
- COEF_CONST(0.9899928483526520),
- COEF_CONST(0.9902005970930525),
- COEF_CONST(0.9904049155242876),
- COEF_CONST(0.9906058432974180),
- COEF_CONST(0.9908034198831690),
- COEF_CONST(0.9909976845686489),
- COEF_CONST(0.9911886764541239),
- COEF_CONST(0.9913764344498495),
- COEF_CONST(0.9915609972729590),
- COEF_CONST(0.9917424034444086),
- COEF_CONST(0.9919206912859797),
- COEF_CONST(0.9920958989173397),
- COEF_CONST(0.9922680642531603),
- COEF_CONST(0.9924372250002933),
- COEF_CONST(0.9926034186550070),
- COEF_CONST(0.9927666825002789),
- COEF_CONST(0.9929270536031491),
- COEF_CONST(0.9930845688121325),
- COEF_CONST(0.9932392647546895),
- COEF_CONST(0.9933911778347579),
- COEF_CONST(0.9935403442303433),
- COEF_CONST(0.9936867998911693),
- COEF_CONST(0.9938305805363887),
- COEF_CONST(0.9939717216523539),
- COEF_CONST(0.9941102584904481),
- COEF_CONST(0.9942462260649764),
- COEF_CONST(0.9943796591511174),
- COEF_CONST(0.9945105922829353),
- COEF_CONST(0.9946390597514524),
- COEF_CONST(0.9947650956027824),
- COEF_CONST(0.9948887336363228),
- COEF_CONST(0.9950100074030103),
- COEF_CONST(0.9951289502036336),
- COEF_CONST(0.9952455950872091),
- COEF_CONST(0.9953599748494155),
- COEF_CONST(0.9954721220310890),
- COEF_CONST(0.9955820689167787),
- COEF_CONST(0.9956898475333619),
- COEF_CONST(0.9957954896487196),
- COEF_CONST(0.9958990267704713),
- COEF_CONST(0.9960004901447701),
- COEF_CONST(0.9960999107551559),
- COEF_CONST(0.9961973193214694),
- COEF_CONST(0.9962927462988245),
- COEF_CONST(0.9963862218766388),
- COEF_CONST(0.9964777759777242),
- COEF_CONST(0.9965674382574342),
- COEF_CONST(0.9966552381028704),
- COEF_CONST(0.9967412046321465),
- COEF_CONST(0.9968253666937095),
- COEF_CONST(0.9969077528657186),
- COEF_CONST(0.9969883914554805),
- COEF_CONST(0.9970673104989413),
- COEF_CONST(0.9971445377602348),
- COEF_CONST(0.9972201007312871),
- COEF_CONST(0.9972940266314749),
- COEF_CONST(0.9973663424073412),
- COEF_CONST(0.9974370747323638),
- COEF_CONST(0.9975062500067785),
- COEF_CONST(0.9975738943574574),
- COEF_CONST(0.9976400336378379),
- COEF_CONST(0.9977046934279079),
- COEF_CONST(0.9977678990342401),
- COEF_CONST(0.9978296754900812),
- COEF_CONST(0.9978900475554902),
- COEF_CONST(0.9979490397175296),
- COEF_CONST(0.9980066761905056),
- COEF_CONST(0.9980629809162593),
- COEF_CONST(0.9981179775645063),
- COEF_CONST(0.9981716895332257),
- COEF_CONST(0.9982241399490979),
- COEF_CONST(0.9982753516679893),
- COEF_CONST(0.9983253472754841),
- COEF_CONST(0.9983741490874634),
- COEF_CONST(0.9984217791507299),
- COEF_CONST(0.9984682592436778),
- COEF_CONST(0.9985136108770075),
- COEF_CONST(0.9985578552944850),
- COEF_CONST(0.9986010134737439),
- COEF_CONST(0.9986431061271304),
- COEF_CONST(0.9986841537025921),
- COEF_CONST(0.9987241763846056),
- COEF_CONST(0.9987631940951476),
- COEF_CONST(0.9988012264947044),
- COEF_CONST(0.9988382929833222),
- COEF_CONST(0.9988744127016956),
- COEF_CONST(0.9989096045322947),
- COEF_CONST(0.9989438871005292),
- COEF_CONST(0.9989772787759494),
- COEF_CONST(0.9990097976734847),
- COEF_CONST(0.9990414616547146),
- COEF_CONST(0.9990722883291779),
- COEF_CONST(0.9991022950557125),
- COEF_CONST(0.9991314989438310),
- COEF_CONST(0.9991599168551279),
- COEF_CONST(0.9991875654047181),
- COEF_CONST(0.9992144609627068),
- COEF_CONST(0.9992406196556911),
- COEF_CONST(0.9992660573682882),
- COEF_CONST(0.9992907897446957),
- COEF_CONST(0.9993148321902777),
- COEF_CONST(0.9993381998731797),
- COEF_CONST(0.9993609077259696),
- COEF_CONST(0.9993829704473038),
- COEF_CONST(0.9994044025036201),
- COEF_CONST(0.9994252181308537),
- COEF_CONST(0.9994454313361775),
- COEF_CONST(0.9994650558997651),
- COEF_CONST(0.9994841053765757),
- COEF_CONST(0.9995025930981609),
- COEF_CONST(0.9995205321744921),
- COEF_CONST(0.9995379354958073),
- COEF_CONST(0.9995548157344778),
- COEF_CONST(0.9995711853468930),
- COEF_CONST(0.9995870565753632),
- COEF_CONST(0.9996024414500382),
- COEF_CONST(0.9996173517908444),
- COEF_CONST(0.9996317992094352),
- COEF_CONST(0.9996457951111574),
- COEF_CONST(0.9996593506970310),
- COEF_CONST(0.9996724769657434),
- COEF_CONST(0.9996851847156547),
- COEF_CONST(0.9996974845468164),
- COEF_CONST(0.9997093868630000),
- COEF_CONST(0.9997209018737374),
- COEF_CONST(0.9997320395963699),
- COEF_CONST(0.9997428098581069),
- COEF_CONST(0.9997532222980933),
- COEF_CONST(0.9997632863694836),
- COEF_CONST(0.9997730113415246),
- COEF_CONST(0.9997824063016426),
- COEF_CONST(0.9997914801575380),
- COEF_CONST(0.9998002416392840),
- COEF_CONST(0.9998086993014300),
- COEF_CONST(0.9998168615251084),
- COEF_CONST(0.9998247365201450),
- COEF_CONST(0.9998323323271717),
- COEF_CONST(0.9998396568197407),
- COEF_CONST(0.9998467177064404),
- COEF_CONST(0.9998535225330116),
- COEF_CONST(0.9998600786844637),
- COEF_CONST(0.9998663933871905),
- COEF_CONST(0.9998724737110845),
- COEF_CONST(0.9998783265716498),
- COEF_CONST(0.9998839587321121),
- COEF_CONST(0.9998893768055266),
- COEF_CONST(0.9998945872568815),
- COEF_CONST(0.9998995964051983),
- COEF_CONST(0.9999044104256269),
- COEF_CONST(0.9999090353515359),
- COEF_CONST(0.9999134770765971),
- COEF_CONST(0.9999177413568642),
- COEF_CONST(0.9999218338128448),
- COEF_CONST(0.9999257599315647),
- COEF_CONST(0.9999295250686255),
- COEF_CONST(0.9999331344502529),
- COEF_CONST(0.9999365931753376),
- COEF_CONST(0.9999399062174669),
- COEF_CONST(0.9999430784269460),
- COEF_CONST(0.9999461145328103),
- COEF_CONST(0.9999490191448277),
- COEF_CONST(0.9999517967554878),
- COEF_CONST(0.9999544517419835),
- COEF_CONST(0.9999569883681778),
- COEF_CONST(0.9999594107865607),
- COEF_CONST(0.9999617230401926),
- COEF_CONST(0.9999639290646355),
- COEF_CONST(0.9999660326898712),
- COEF_CONST(0.9999680376422052),
- COEF_CONST(0.9999699475461585),
- COEF_CONST(0.9999717659263435),
- COEF_CONST(0.9999734962093266),
- COEF_CONST(0.9999751417254756),
- COEF_CONST(0.9999767057107922),
- COEF_CONST(0.9999781913087290),
- COEF_CONST(0.9999796015719915),
- COEF_CONST(0.9999809394643231),
- COEF_CONST(0.9999822078622751),
- COEF_CONST(0.9999834095569596),
- COEF_CONST(0.9999845472557860),
- COEF_CONST(0.9999856235841805),
- COEF_CONST(0.9999866410872889),
- COEF_CONST(0.9999876022316609),
- COEF_CONST(0.9999885094069193),
- COEF_CONST(0.9999893649274085),
- COEF_CONST(0.9999901710338274),
- COEF_CONST(0.9999909298948430),
- COEF_CONST(0.9999916436086862),
- COEF_CONST(0.9999923142047299),
- COEF_CONST(0.9999929436450469),
- COEF_CONST(0.9999935338259505),
- COEF_CONST(0.9999940865795161),
- COEF_CONST(0.9999946036750835),
- COEF_CONST(0.9999950868207405),
- COEF_CONST(0.9999955376647868),
- COEF_CONST(0.9999959577971798),
- COEF_CONST(0.9999963487509599),
- COEF_CONST(0.9999967120036571),
- COEF_CONST(0.9999970489786785),
- COEF_CONST(0.9999973610466748),
- COEF_CONST(0.9999976495268890),
- COEF_CONST(0.9999979156884846),
- COEF_CONST(0.9999981607518545),
- COEF_CONST(0.9999983858899099),
- COEF_CONST(0.9999985922293493),
- COEF_CONST(0.9999987808519092),
- COEF_CONST(0.9999989527955938),
- COEF_CONST(0.9999991090558848),
- COEF_CONST(0.9999992505869332),
- COEF_CONST(0.9999993783027293),
- COEF_CONST(0.9999994930782556),
- COEF_CONST(0.9999995957506171),
- COEF_CONST(0.9999996871201549),
- COEF_CONST(0.9999997679515386),
- COEF_CONST(0.9999998389748399),
- COEF_CONST(0.9999999008865869),
- COEF_CONST(0.9999999543507984)
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const real_t kbd_long_960[] = {
+ FRAC_CONST(0.0003021562530949),
+ FRAC_CONST(0.0004452267024786),
+ FRAC_CONST(0.0005674947527496),
+ FRAC_CONST(0.0006812465553466),
+ FRAC_CONST(0.0007910496776387),
+ FRAC_CONST(0.0008991655033895),
+ FRAC_CONST(0.0010068978259384),
+ FRAC_CONST(0.0011150758515751),
+ FRAC_CONST(0.0012242653193642),
+ FRAC_CONST(0.0013348735658205),
+ FRAC_CONST(0.0014472068670273),
+ FRAC_CONST(0.0015615039850448),
+ FRAC_CONST(0.0016779568885263),
+ FRAC_CONST(0.0017967241232412),
+ FRAC_CONST(0.0019179397560955),
+ FRAC_CONST(0.0020417195415393),
+ FRAC_CONST(0.0021681652836642),
+ FRAC_CONST(0.0022973679910599),
+ FRAC_CONST(0.0024294102029937),
+ FRAC_CONST(0.0025643677339078),
+ FRAC_CONST(0.0027023110014772),
+ FRAC_CONST(0.0028433060512612),
+ FRAC_CONST(0.0029874153568025),
+ FRAC_CONST(0.0031346984511728),
+ FRAC_CONST(0.0032852124303662),
+ FRAC_CONST(0.0034390123581190),
+ FRAC_CONST(0.0035961515940931),
+ FRAC_CONST(0.0037566820618961),
+ FRAC_CONST(0.0039206544694386),
+ FRAC_CONST(0.0040881184912194),
+ FRAC_CONST(0.0042591229199617),
+ FRAC_CONST(0.0044337157933972),
+ FRAC_CONST(0.0046119445007641),
+ FRAC_CONST(0.0047938558726415),
+ FRAC_CONST(0.0049794962570131),
+ FRAC_CONST(0.0051689115838900),
+ FRAC_CONST(0.0053621474203763),
+ FRAC_CONST(0.0055592490177131),
+ FRAC_CONST(0.0057602613515573),
+ FRAC_CONST(0.0059652291565289),
+ FRAC_CONST(0.0061741969558843),
+ FRAC_CONST(0.0063872090870253),
+ FRAC_CONST(0.0066043097234387),
+ FRAC_CONST(0.0068255428935640),
+ FRAC_CONST(0.0070509524970088),
+ FRAC_CONST(0.0072805823184660),
+ FRAC_CONST(0.0075144760396340),
+ FRAC_CONST(0.0077526772493942),
+ FRAC_CONST(0.0079952294524673),
+ FRAC_CONST(0.0082421760767325),
+ FRAC_CONST(0.0084935604793733),
+ FRAC_CONST(0.0087494259519870),
+ FRAC_CONST(0.0090098157247792),
+ FRAC_CONST(0.0092747729699467),
+ FRAC_CONST(0.0095443408043399),
+ FRAC_CONST(0.0098185622914832),
+ FRAC_CONST(0.0100974804430226),
+ FRAC_CONST(0.0103811382196612),
+ FRAC_CONST(0.0106695785316351),
+ FRAC_CONST(0.0109628442387771),
+ FRAC_CONST(0.0112609781502091),
+ FRAC_CONST(0.0115640230236993),
+ FRAC_CONST(0.0118720215647169),
+ FRAC_CONST(0.0121850164252137),
+ FRAC_CONST(0.0125030502021561),
+ FRAC_CONST(0.0128261654358321),
+ FRAC_CONST(0.0131544046079532),
+ FRAC_CONST(0.0134878101395681),
+ FRAC_CONST(0.0138264243888068),
+ FRAC_CONST(0.0141702896484671),
+ FRAC_CONST(0.0145194481434592),
+ FRAC_CONST(0.0148739420281182),
+ FRAC_CONST(0.0152338133833959),
+ FRAC_CONST(0.0155991042139432),
+ FRAC_CONST(0.0159698564450882),
+ FRAC_CONST(0.0163461119197227),
+ FRAC_CONST(0.0167279123950996),
+ FRAC_CONST(0.0171152995395520),
+ FRAC_CONST(0.0175083149291368),
+ FRAC_CONST(0.0179070000442104),
+ FRAC_CONST(0.0183113962659409),
+ FRAC_CONST(0.0187215448727609),
+ FRAC_CONST(0.0191374870367659),
+ FRAC_CONST(0.0195592638200623),
+ FRAC_CONST(0.0199869161710679),
+ FRAC_CONST(0.0204204849207691),
+ FRAC_CONST(0.0208600107789370),
+ FRAC_CONST(0.0213055343303066),
+ FRAC_CONST(0.0217570960307201),
+ FRAC_CONST(0.0222147362032386),
+ FRAC_CONST(0.0226784950342228),
+ FRAC_CONST(0.0231484125693867),
+ FRAC_CONST(0.0236245287098244),
+ FRAC_CONST(0.0241068832080138),
+ FRAC_CONST(0.0245955156637973),
+ FRAC_CONST(0.0250904655203431),
+ FRAC_CONST(0.0255917720600868),
+ FRAC_CONST(0.0260994744006559),
+ FRAC_CONST(0.0266136114907790),
+ FRAC_CONST(0.0271342221061795),
+ FRAC_CONST(0.0276613448454576),
+ FRAC_CONST(0.0281950181259587),
+ FRAC_CONST(0.0287352801796329),
+ FRAC_CONST(0.0292821690488833),
+ FRAC_CONST(0.0298357225824074),
+ FRAC_CONST(0.0303959784310299),
+ FRAC_CONST(0.0309629740435296),
+ FRAC_CONST(0.0315367466624615),
+ FRAC_CONST(0.0321173333199732),
+ FRAC_CONST(0.0327047708336193),
+ FRAC_CONST(0.0332990958021720),
+ FRAC_CONST(0.0339003446014307),
+ FRAC_CONST(0.0345085533800302),
+ FRAC_CONST(0.0351237580552491),
+ FRAC_CONST(0.0357459943088193),
+ FRAC_CONST(0.0363752975827358),
+ FRAC_CONST(0.0370117030750704),
+ FRAC_CONST(0.0376552457357870),
+ FRAC_CONST(0.0383059602625614),
+ FRAC_CONST(0.0389638810966056),
+ FRAC_CONST(0.0396290424184964),
+ FRAC_CONST(0.0403014781440112),
+ FRAC_CONST(0.0409812219199691),
+ FRAC_CONST(0.0416683071200799),
+ FRAC_CONST(0.0423627668408009),
+ FRAC_CONST(0.0430646338972016),
+ FRAC_CONST(0.0437739408188385),
+ FRAC_CONST(0.0444907198456388),
+ FRAC_CONST(0.0452150029237951),
+ FRAC_CONST(0.0459468217016708),
+ FRAC_CONST(0.0466862075257170),
+ FRAC_CONST(0.0474331914364021),
+ FRAC_CONST(0.0481878041641539),
+ FRAC_CONST(0.0489500761253148),
+ FRAC_CONST(0.0497200374181119),
+ FRAC_CONST(0.0504977178186404),
+ FRAC_CONST(0.0512831467768636),
+ FRAC_CONST(0.0520763534126273),
+ FRAC_CONST(0.0528773665116913),
+ FRAC_CONST(0.0536862145217772),
+ FRAC_CONST(0.0545029255486345),
+ FRAC_CONST(0.0553275273521232),
+ FRAC_CONST(0.0561600473423164),
+ FRAC_CONST(0.0570005125756209),
+ FRAC_CONST(0.0578489497509179),
+ FRAC_CONST(0.0587053852057233),
+ FRAC_CONST(0.0595698449123695),
+ FRAC_CONST(0.0604423544742077),
+ FRAC_CONST(0.0613229391218317),
+ FRAC_CONST(0.0622116237093247),
+ FRAC_CONST(0.0631084327105284),
+ FRAC_CONST(0.0640133902153352),
+ FRAC_CONST(0.0649265199260043),
+ FRAC_CONST(0.0658478451535027),
+ FRAC_CONST(0.0667773888138695),
+ FRAC_CONST(0.0677151734246072),
+ FRAC_CONST(0.0686612211010977),
+ FRAC_CONST(0.0696155535530446),
+ FRAC_CONST(0.0705781920809429),
+ FRAC_CONST(0.0715491575725758),
+ FRAC_CONST(0.0725284704995383),
+ FRAC_CONST(0.0735161509137906),
+ FRAC_CONST(0.0745122184442388),
+ FRAC_CONST(0.0755166922933461),
+ FRAC_CONST(0.0765295912337720),
+ FRAC_CONST(0.0775509336050437),
+ FRAC_CONST(0.0785807373102561),
+ FRAC_CONST(0.0796190198128044),
+ FRAC_CONST(0.0806657981331473),
+ FRAC_CONST(0.0817210888456026),
+ FRAC_CONST(0.0827849080751753),
+ FRAC_CONST(0.0838572714944183),
+ FRAC_CONST(0.0849381943203265),
+ FRAC_CONST(0.0860276913112652),
+ FRAC_CONST(0.0871257767639319),
+ FRAC_CONST(0.0882324645103534),
+ FRAC_CONST(0.0893477679149177),
+ FRAC_CONST(0.0904716998714418),
+ FRAC_CONST(0.0916042728002747),
+ FRAC_CONST(0.0927454986454381),
+ FRAC_CONST(0.0938953888718020),
+ FRAC_CONST(0.0950539544622996),
+ FRAC_CONST(0.0962212059151784),
+ FRAC_CONST(0.0973971532412897),
+ FRAC_CONST(0.0985818059614169),
+ FRAC_CONST(0.0997751731036425),
+ FRAC_CONST(0.1009772632007537),
+ FRAC_CONST(0.1021880842876888),
+ FRAC_CONST(0.1034076438990227),
+ FRAC_CONST(0.1046359490664932),
+ FRAC_CONST(0.1058730063165681),
+ FRAC_CONST(0.1071188216680533),
+ FRAC_CONST(0.1083734006297428),
+ FRAC_CONST(0.1096367481981100),
+ FRAC_CONST(0.1109088688550422),
+ FRAC_CONST(0.1121897665656167),
+ FRAC_CONST(0.1134794447759207),
+ FRAC_CONST(0.1147779064109143),
+ FRAC_CONST(0.1160851538723372),
+ FRAC_CONST(0.1174011890366591),
+ FRAC_CONST(0.1187260132530751),
+ FRAC_CONST(0.1200596273415457),
+ FRAC_CONST(0.1214020315908810),
+ FRAC_CONST(0.1227532257568719),
+ FRAC_CONST(0.1241132090604651),
+ FRAC_CONST(0.1254819801859856),
+ FRAC_CONST(0.1268595372794049),
+ FRAC_CONST(0.1282458779466558),
+ FRAC_CONST(0.1296409992519942),
+ FRAC_CONST(0.1310448977164081),
+ FRAC_CONST(0.1324575693160745),
+ FRAC_CONST(0.1338790094808633),
+ FRAC_CONST(0.1353092130928902),
+ FRAC_CONST(0.1367481744851168),
+ FRAC_CONST(0.1381958874400010),
+ FRAC_CONST(0.1396523451881945),
+ FRAC_CONST(0.1411175404072910),
+ FRAC_CONST(0.1425914652206223),
+ FRAC_CONST(0.1440741111961058),
+ FRAC_CONST(0.1455654693451402),
+ FRAC_CONST(0.1470655301215526),
+ FRAC_CONST(0.1485742834205956),
+ FRAC_CONST(0.1500917185779945),
+ FRAC_CONST(0.1516178243690463),
+ FRAC_CONST(0.1531525890077689),
+ FRAC_CONST(0.1546960001461024),
+ FRAC_CONST(0.1562480448731608),
+ FRAC_CONST(0.1578087097145364),
+ FRAC_CONST(0.1593779806316558),
+ FRAC_CONST(0.1609558430211876),
+ FRAC_CONST(0.1625422817145027),
+ FRAC_CONST(0.1641372809771871),
+ FRAC_CONST(0.1657408245086070),
+ FRAC_CONST(0.1673528954415270),
+ FRAC_CONST(0.1689734763417811),
+ FRAC_CONST(0.1706025492079969),
+ FRAC_CONST(0.1722400954713725),
+ FRAC_CONST(0.1738860959955082),
+ FRAC_CONST(0.1755405310762898),
+ FRAC_CONST(0.1772033804418275),
+ FRAC_CONST(0.1788746232524467),
+ FRAC_CONST(0.1805542381007349),
+ FRAC_CONST(0.1822422030116404),
+ FRAC_CONST(0.1839384954426268),
+ FRAC_CONST(0.1856430922838810),
+ FRAC_CONST(0.1873559698585756),
+ FRAC_CONST(0.1890771039231862),
+ FRAC_CONST(0.1908064696678625),
+ FRAC_CONST(0.1925440417168546),
+ FRAC_CONST(0.1942897941289937),
+ FRAC_CONST(0.1960437003982277),
+ FRAC_CONST(0.1978057334542116),
+ FRAC_CONST(0.1995758656629525),
+ FRAC_CONST(0.2013540688275098),
+ FRAC_CONST(0.2031403141887507),
+ FRAC_CONST(0.2049345724261595),
+ FRAC_CONST(0.2067368136587033),
+ FRAC_CONST(0.2085470074457521),
+ FRAC_CONST(0.2103651227880538),
+ FRAC_CONST(0.2121911281287646),
+ FRAC_CONST(0.2140249913545346),
+ FRAC_CONST(0.2158666797966480),
+ FRAC_CONST(0.2177161602322188),
+ FRAC_CONST(0.2195733988854414),
+ FRAC_CONST(0.2214383614288963),
+ FRAC_CONST(0.2233110129849106),
+ FRAC_CONST(0.2251913181269740),
+ FRAC_CONST(0.2270792408812093),
+ FRAC_CONST(0.2289747447278976),
+ FRAC_CONST(0.2308777926030592),
+ FRAC_CONST(0.2327883469000885),
+ FRAC_CONST(0.2347063694714437),
+ FRAC_CONST(0.2366318216303919),
+ FRAC_CONST(0.2385646641528076),
+ FRAC_CONST(0.2405048572790267),
+ FRAC_CONST(0.2424523607157545),
+ FRAC_CONST(0.2444071336380283),
+ FRAC_CONST(0.2463691346912334),
+ FRAC_CONST(0.2483383219931741),
+ FRAC_CONST(0.2503146531361985),
+ FRAC_CONST(0.2522980851893767),
+ FRAC_CONST(0.2542885747007335),
+ FRAC_CONST(0.2562860776995335),
+ FRAC_CONST(0.2582905496986215),
+ FRAC_CONST(0.2603019456968142),
+ FRAC_CONST(0.2623202201813464),
+ FRAC_CONST(0.2643453271303700),
+ FRAC_CONST(0.2663772200155053),
+ FRAC_CONST(0.2684158518044454),
+ FRAC_CONST(0.2704611749636135),
+ FRAC_CONST(0.2725131414608710),
+ FRAC_CONST(0.2745717027682799),
+ FRAC_CONST(0.2766368098649151),
+ FRAC_CONST(0.2787084132397296),
+ FRAC_CONST(0.2807864628944707),
+ FRAC_CONST(0.2828709083466482),
+ FRAC_CONST(0.2849616986325523),
+ FRAC_CONST(0.2870587823103237),
+ FRAC_CONST(0.2891621074630737),
+ FRAC_CONST(0.2912716217020546),
+ FRAC_CONST(0.2933872721698803),
+ FRAC_CONST(0.2955090055437973),
+ FRAC_CONST(0.2976367680390041),
+ FRAC_CONST(0.2997705054120213),
+ FRAC_CONST(0.3019101629641097),
+ FRAC_CONST(0.3040556855447379),
+ FRAC_CONST(0.3062070175550981),
+ FRAC_CONST(0.3083641029516701),
+ FRAC_CONST(0.3105268852498334),
+ FRAC_CONST(0.3126953075275265),
+ FRAC_CONST(0.3148693124289546),
+ FRAC_CONST(0.3170488421683428),
+ FRAC_CONST(0.3192338385337370),
+ FRAC_CONST(0.3214242428908514),
+ FRAC_CONST(0.3236199961869606),
+ FRAC_CONST(0.3258210389548392),
+ FRAC_CONST(0.3280273113167459),
+ FRAC_CONST(0.3302387529884521),
+ FRAC_CONST(0.3324553032833160),
+ FRAC_CONST(0.3346769011164010),
+ FRAC_CONST(0.3369034850086373),
+ FRAC_CONST(0.3391349930910280),
+ FRAC_CONST(0.3413713631088974),
+ FRAC_CONST(0.3436125324261830),
+ FRAC_CONST(0.3458584380297697),
+ FRAC_CONST(0.3481090165338656),
+ FRAC_CONST(0.3503642041844199),
+ FRAC_CONST(0.3526239368635820),
+ FRAC_CONST(0.3548881500942010),
+ FRAC_CONST(0.3571567790443668),
+ FRAC_CONST(0.3594297585319891),
+ FRAC_CONST(0.3617070230294185),
+ FRAC_CONST(0.3639885066681048),
+ FRAC_CONST(0.3662741432432950),
+ FRAC_CONST(0.3685638662187693),
+ FRAC_CONST(0.3708576087316147),
+ FRAC_CONST(0.3731553035970366),
+ FRAC_CONST(0.3754568833132069),
+ FRAC_CONST(0.3777622800661488),
+ FRAC_CONST(0.3800714257346570),
+ FRAC_CONST(0.3823842518952546),
+ FRAC_CONST(0.3847006898271841),
+ FRAC_CONST(0.3870206705174334),
+ FRAC_CONST(0.3893441246657958),
+ FRAC_CONST(0.3916709826899639),
+ FRAC_CONST(0.3940011747306560),
+ FRAC_CONST(0.3963346306567764),
+ FRAC_CONST(0.3986712800706062),
+ FRAC_CONST(0.4010110523130271),
+ FRAC_CONST(0.4033538764687756),
+ FRAC_CONST(0.4056996813717284),
+ FRAC_CONST(0.4080483956102172),
+ FRAC_CONST(0.4103999475323736),
+ FRAC_CONST(0.4127542652515031),
+ FRAC_CONST(0.4151112766514873),
+ FRAC_CONST(0.4174709093922143),
+ FRAC_CONST(0.4198330909150365),
+ FRAC_CONST(0.4221977484482556),
+ FRAC_CONST(0.4245648090126334),
+ FRAC_CONST(0.4269341994269293),
+ FRAC_CONST(0.4293058463134616),
+ FRAC_CONST(0.4316796761036958),
+ FRAC_CONST(0.4340556150438547),
+ FRAC_CONST(0.4364335892005536),
+ FRAC_CONST(0.4388135244664580),
+ FRAC_CONST(0.4411953465659639),
+ FRAC_CONST(0.4435789810609000),
+ FRAC_CONST(0.4459643533562509),
+ FRAC_CONST(0.4483513887059016),
+ FRAC_CONST(0.4507400122184019),
+ FRAC_CONST(0.4531301488627497),
+ FRAC_CONST(0.4555217234741947),
+ FRAC_CONST(0.4579146607600593),
+ FRAC_CONST(0.4603088853055777),
+ FRAC_CONST(0.4627043215797521),
+ FRAC_CONST(0.4651008939412254),
+ FRAC_CONST(0.4674985266441709),
+ FRAC_CONST(0.4698971438441951),
+ FRAC_CONST(0.4722966696042580),
+ FRAC_CONST(0.4746970279006055),
+ FRAC_CONST(0.4770981426287164),
+ FRAC_CONST(0.4794999376092619),
+ FRAC_CONST(0.4819023365940778),
+ FRAC_CONST(0.4843052632721476),
+ FRAC_CONST(0.4867086412755978),
+ FRAC_CONST(0.4891123941857028),
+ FRAC_CONST(0.4915164455388997),
+ FRAC_CONST(0.4939207188328126),
+ FRAC_CONST(0.4963251375322855),
+ FRAC_CONST(0.4987296250754225),
+ FRAC_CONST(0.5011341048796359),
+ FRAC_CONST(0.5035385003477012),
+ FRAC_CONST(0.5059427348738168),
+ FRAC_CONST(0.5083467318496706),
+ FRAC_CONST(0.5107504146705106),
+ FRAC_CONST(0.5131537067412193),
+ FRAC_CONST(0.5155565314823923),
+ FRAC_CONST(0.5179588123364193),
+ FRAC_CONST(0.5203604727735667),
+ FRAC_CONST(0.5227614362980630),
+ FRAC_CONST(0.5251616264541841),
+ FRAC_CONST(0.5275609668323384),
+ FRAC_CONST(0.5299593810751532),
+ FRAC_CONST(0.5323567928835578),
+ FRAC_CONST(0.5347531260228663),
+ FRAC_CONST(0.5371483043288580),
+ FRAC_CONST(0.5395422517138538),
+ FRAC_CONST(0.5419348921727899),
+ FRAC_CONST(0.5443261497892862),
+ FRAC_CONST(0.5467159487417104),
+ FRAC_CONST(0.5491042133092364),
+ FRAC_CONST(0.5514908678778958),
+ FRAC_CONST(0.5538758369466227),
+ FRAC_CONST(0.5562590451332913),
+ FRAC_CONST(0.5586404171807443),
+ FRAC_CONST(0.5610198779628133),
+ FRAC_CONST(0.5633973524903286),
+ FRAC_CONST(0.5657727659171199),
+ FRAC_CONST(0.5681460435460047),
+ FRAC_CONST(0.5705171108347663),
+ FRAC_CONST(0.5728858934021188),
+ FRAC_CONST(0.5752523170336598),
+ FRAC_CONST(0.5776163076878088),
+ FRAC_CONST(0.5799777915017323),
+ FRAC_CONST(0.5823366947972535),
+ FRAC_CONST(0.5846929440867458),
+ FRAC_CONST(0.5870464660790119),
+ FRAC_CONST(0.5893971876851449),
+ FRAC_CONST(0.5917450360243719),
+ FRAC_CONST(0.5940899384298793),
+ FRAC_CONST(0.5964318224546208),
+ FRAC_CONST(0.5987706158771039),
+ FRAC_CONST(0.6011062467071583),
+ FRAC_CONST(0.6034386431916822),
+ FRAC_CONST(0.6057677338203681),
+ FRAC_CONST(0.6080934473314057),
+ FRAC_CONST(0.6104157127171639),
+ FRAC_CONST(0.6127344592298474),
+ FRAC_CONST(0.6150496163871310),
+ FRAC_CONST(0.6173611139777690),
+ FRAC_CONST(0.6196688820671789),
+ FRAC_CONST(0.6219728510029997),
+ FRAC_CONST(0.6242729514206247),
+ FRAC_CONST(0.6265691142487051),
+ FRAC_CONST(0.6288612707146283),
+ FRAC_CONST(0.6311493523499663),
+ FRAC_CONST(0.6334332909958958),
+ FRAC_CONST(0.6357130188085891),
+ FRAC_CONST(0.6379884682645743),
+ FRAC_CONST(0.6402595721660647),
+ FRAC_CONST(0.6425262636462578),
+ FRAC_CONST(0.6447884761746012),
+ FRAC_CONST(0.6470461435620266),
+ FRAC_CONST(0.6492991999661505),
+ FRAC_CONST(0.6515475798964411),
+ FRAC_CONST(0.6537912182193508),
+ FRAC_CONST(0.6560300501634142),
+ FRAC_CONST(0.6582640113243098),
+ FRAC_CONST(0.6604930376698862),
+ FRAC_CONST(0.6627170655451516),
+ FRAC_CONST(0.6649360316772256),
+ FRAC_CONST(0.6671498731802533),
+ FRAC_CONST(0.6693585275602818),
+ FRAC_CONST(0.6715619327200959),
+ FRAC_CONST(0.6737600269640164),
+ FRAC_CONST(0.6759527490026566),
+ FRAC_CONST(0.6781400379576392),
+ FRAC_CONST(0.6803218333662715),
+ FRAC_CONST(0.6824980751861787),
+ FRAC_CONST(0.6846687037998949),
+ FRAC_CONST(0.6868336600194123),
+ FRAC_CONST(0.6889928850906855),
+ FRAC_CONST(0.6911463206980928),
+ FRAC_CONST(0.6932939089688525),
+ FRAC_CONST(0.6954355924773949),
+ FRAC_CONST(0.6975713142496884),
+ FRAC_CONST(0.6997010177675195),
+ FRAC_CONST(0.7018246469727265),
+ FRAC_CONST(0.7039421462713862),
+ FRAC_CONST(0.7060534605379528),
+ FRAC_CONST(0.7081585351193496),
+ FRAC_CONST(0.7102573158390105),
+ FRAC_CONST(0.7123497490008750),
+ FRAC_CONST(0.7144357813933307),
+ FRAC_CONST(0.7165153602931092),
+ FRAC_CONST(0.7185884334691287),
+ FRAC_CONST(0.7206549491862871),
+ FRAC_CONST(0.7227148562092042),
+ FRAC_CONST(0.7247681038059106),
+ FRAC_CONST(0.7268146417514855),
+ FRAC_CONST(0.7288544203316418),
+ FRAC_CONST(0.7308873903462577),
+ FRAC_CONST(0.7329135031128549),
+ FRAC_CONST(0.7349327104700221),
+ FRAC_CONST(0.7369449647807855),
+ FRAC_CONST(0.7389502189359237),
+ FRAC_CONST(0.7409484263572271),
+ FRAC_CONST(0.7429395410007016),
+ FRAC_CONST(0.7449235173597176),
+ FRAC_CONST(0.7469003104681008),
+ FRAC_CONST(0.7488698759031670),
+ FRAC_CONST(0.7508321697887005),
+ FRAC_CONST(0.7527871487978728),
+ FRAC_CONST(0.7547347701561059),
+ FRAC_CONST(0.7566749916438754),
+ FRAC_CONST(0.7586077715994560),
+ FRAC_CONST(0.7605330689216074),
+ FRAC_CONST(0.7624508430722016),
+ FRAC_CONST(0.7643610540787891),
+ FRAC_CONST(0.7662636625371070),
+ FRAC_CONST(0.7681586296135255),
+ FRAC_CONST(0.7700459170474343),
+ FRAC_CONST(0.7719254871535672),
+ FRAC_CONST(0.7737973028242671),
+ FRAC_CONST(0.7756613275316875),
+ FRAC_CONST(0.7775175253299340),
+ FRAC_CONST(0.7793658608571425),
+ FRAC_CONST(0.7812062993374951),
+ FRAC_CONST(0.7830388065831744),
+ FRAC_CONST(0.7848633489962533),
+ FRAC_CONST(0.7866798935705233),
+ FRAC_CONST(0.7884884078932579),
+ FRAC_CONST(0.7902888601469138),
+ FRAC_CONST(0.7920812191107668),
+ FRAC_CONST(0.7938654541624850),
+ FRAC_CONST(0.7956415352796368),
+ FRAC_CONST(0.7974094330411343),
+ FRAC_CONST(0.7991691186286133),
+ FRAC_CONST(0.8009205638277465),
+ FRAC_CONST(0.8026637410294932),
+ FRAC_CONST(0.8043986232312831),
+ FRAC_CONST(0.8061251840381346),
+ FRAC_CONST(0.8078433976637077),
+ FRAC_CONST(0.8095532389312917),
+ FRAC_CONST(0.8112546832747255),
+ FRAC_CONST(0.8129477067392539),
+ FRAC_CONST(0.8146322859823164),
+ FRAC_CONST(0.8163083982742698),
+ FRAC_CONST(0.8179760214990457),
+ FRAC_CONST(0.8196351341547393),
+ FRAC_CONST(0.8212857153541345),
+ FRAC_CONST(0.8229277448251595),
+ FRAC_CONST(0.8245612029112778),
+ FRAC_CONST(0.8261860705718113),
+ FRAC_CONST(0.8278023293821971),
+ FRAC_CONST(0.8294099615341773),
+ FRAC_CONST(0.8310089498359212),
+ FRAC_CONST(0.8325992777120815),
+ FRAC_CONST(0.8341809292037831),
+ FRAC_CONST(0.8357538889685445),
+ FRAC_CONST(0.8373181422801330),
+ FRAC_CONST(0.8388736750283521),
+ FRAC_CONST(0.8404204737187619),
+ FRAC_CONST(0.8419585254723335),
+ FRAC_CONST(0.8434878180250348),
+ FRAC_CONST(0.8450083397273509),
+ FRAC_CONST(0.8465200795437368),
+ FRAC_CONST(0.8480230270520029),
+ FRAC_CONST(0.8495171724426350),
+ FRAC_CONST(0.8510025065180464),
+ FRAC_CONST(0.8524790206917633),
+ FRAC_CONST(0.8539467069875448),
+ FRAC_CONST(0.8554055580384357),
+ FRAC_CONST(0.8568555670857525),
+ FRAC_CONST(0.8582967279780043),
+ FRAC_CONST(0.8597290351697464),
+ FRAC_CONST(0.8611524837203691),
+ FRAC_CONST(0.8625670692928198),
+ FRAC_CONST(0.8639727881522599),
+ FRAC_CONST(0.8653696371646555),
+ FRAC_CONST(0.8667576137953045),
+ FRAC_CONST(0.8681367161072958),
+ FRAC_CONST(0.8695069427599065),
+ FRAC_CONST(0.8708682930069319),
+ FRAC_CONST(0.8722207666949527),
+ FRAC_CONST(0.8735643642615368),
+ FRAC_CONST(0.8748990867333771),
+ FRAC_CONST(0.8762249357243662),
+ FRAC_CONST(0.8775419134336067),
+ FRAC_CONST(0.8788500226433579),
+ FRAC_CONST(0.8801492667169208),
+ FRAC_CONST(0.8814396495964587),
+ FRAC_CONST(0.8827211758007560),
+ FRAC_CONST(0.8839938504229149),
+ FRAC_CONST(0.8852576791279895),
+ FRAC_CONST(0.8865126681505587),
+ FRAC_CONST(0.8877588242922386),
+ FRAC_CONST(0.8889961549191320),
+ FRAC_CONST(0.8902246679592184),
+ FRAC_CONST(0.8914443718996848),
+ FRAC_CONST(0.8926552757841945),
+ FRAC_CONST(0.8938573892100969),
+ FRAC_CONST(0.8950507223255798),
+ FRAC_CONST(0.8962352858267605),
+ FRAC_CONST(0.8974110909547198),
+ FRAC_CONST(0.8985781494924783),
+ FRAC_CONST(0.8997364737619142),
+ FRAC_CONST(0.9008860766206249),
+ FRAC_CONST(0.9020269714587307),
+ FRAC_CONST(0.9031591721956235),
+ FRAC_CONST(0.9042826932766591),
+ FRAC_CONST(0.9053975496697941),
+ FRAC_CONST(0.9065037568621681),
+ FRAC_CONST(0.9076013308566311),
+ FRAC_CONST(0.9086902881682180),
+ FRAC_CONST(0.9097706458205682),
+ FRAC_CONST(0.9108424213422940),
+ FRAC_CONST(0.9119056327632955),
+ FRAC_CONST(0.9129602986110235),
+ FRAC_CONST(0.9140064379066919),
+ FRAC_CONST(0.9150440701614393),
+ FRAC_CONST(0.9160732153724396),
+ FRAC_CONST(0.9170938940189634),
+ FRAC_CONST(0.9181061270583908),
+ FRAC_CONST(0.9191099359221748),
+ FRAC_CONST(0.9201053425117579),
+ FRAC_CONST(0.9210923691944400),
+ FRAC_CONST(0.9220710387992010),
+ FRAC_CONST(0.9230413746124764),
+ FRAC_CONST(0.9240034003738882),
+ FRAC_CONST(0.9249571402719298),
+ FRAC_CONST(0.9259026189396085),
+ FRAC_CONST(0.9268398614500427),
+ FRAC_CONST(0.9277688933120170),
+ FRAC_CONST(0.9286897404654957),
+ FRAC_CONST(0.9296024292770939),
+ FRAC_CONST(0.9305069865355076),
+ FRAC_CONST(0.9314034394469048),
+ FRAC_CONST(0.9322918156302762),
+ FRAC_CONST(0.9331721431127471),
+ FRAC_CONST(0.9340444503248519),
+ FRAC_CONST(0.9349087660957711),
+ FRAC_CONST(0.9357651196485313),
+ FRAC_CONST(0.9366135405951697),
+ FRAC_CONST(0.9374540589318637),
+ FRAC_CONST(0.9382867050340261),
+ FRAC_CONST(0.9391115096513655),
+ FRAC_CONST(0.9399285039029165),
+ FRAC_CONST(0.9407377192720349),
+ FRAC_CONST(0.9415391876013639),
+ FRAC_CONST(0.9423329410877687),
+ FRAC_CONST(0.9431190122772415),
+ FRAC_CONST(0.9438974340597782),
+ FRAC_CONST(0.9446682396642262),
+ FRAC_CONST(0.9454314626531054),
+ FRAC_CONST(0.9461871369174033),
+ FRAC_CONST(0.9469352966713429),
+ FRAC_CONST(0.9476759764471278),
+ FRAC_CONST(0.9484092110896616),
+ FRAC_CONST(0.9491350357512457),
+ FRAC_CONST(0.9498534858862532),
+ FRAC_CONST(0.9505645972457831),
+ FRAC_CONST(0.9512684058722927),
+ FRAC_CONST(0.9519649480942105),
+ FRAC_CONST(0.9526542605205314),
+ FRAC_CONST(0.9533363800353921),
+ FRAC_CONST(0.9540113437926313),
+ FRAC_CONST(0.9546791892103320),
+ FRAC_CONST(0.9553399539653500),
+ FRAC_CONST(0.9559936759878265),
+ FRAC_CONST(0.9566403934556893),
+ FRAC_CONST(0.9572801447891388),
+ FRAC_CONST(0.9579129686451244),
+ FRAC_CONST(0.9585389039118085),
+ FRAC_CONST(0.9591579897030224),
+ FRAC_CONST(0.9597702653527108),
+ FRAC_CONST(0.9603757704093711),
+ FRAC_CONST(0.9609745446304828),
+ FRAC_CONST(0.9615666279769324),
+ FRAC_CONST(0.9621520606074324),
+ FRAC_CONST(0.9627308828729358),
+ FRAC_CONST(0.9633031353110477),
+ FRAC_CONST(0.9638688586404335),
+ FRAC_CONST(0.9644280937552258),
+ FRAC_CONST(0.9649808817194311),
+ FRAC_CONST(0.9655272637613366),
+ FRAC_CONST(0.9660672812679171),
+ FRAC_CONST(0.9666009757792454),
+ FRAC_CONST(0.9671283889829055),
+ FRAC_CONST(0.9676495627084089),
+ FRAC_CONST(0.9681645389216160),
+ FRAC_CONST(0.9686733597191652),
+ FRAC_CONST(0.9691760673229058),
+ FRAC_CONST(0.9696727040743406),
+ FRAC_CONST(0.9701633124290767),
+ FRAC_CONST(0.9706479349512860),
+ FRAC_CONST(0.9711266143081750),
+ FRAC_CONST(0.9715993932644684),
+ FRAC_CONST(0.9720663146769026),
+ FRAC_CONST(0.9725274214887337),
+ FRAC_CONST(0.9729827567242596),
+ FRAC_CONST(0.9734323634833574),
+ FRAC_CONST(0.9738762849360358),
+ FRAC_CONST(0.9743145643170059),
+ FRAC_CONST(0.9747472449202687),
+ FRAC_CONST(0.9751743700937215),
+ FRAC_CONST(0.9755959832337850),
+ FRAC_CONST(0.9760121277800496),
+ FRAC_CONST(0.9764228472099433),
+ FRAC_CONST(0.9768281850334235),
+ FRAC_CONST(0.9772281847876897),
+ FRAC_CONST(0.9776228900319223),
+ FRAC_CONST(0.9780123443420448),
+ FRAC_CONST(0.9783965913055132),
+ FRAC_CONST(0.9787756745161313),
+ FRAC_CONST(0.9791496375688939),
+ FRAC_CONST(0.9795185240548578),
+ FRAC_CONST(0.9798823775560431),
+ FRAC_CONST(0.9802412416403639),
+ FRAC_CONST(0.9805951598565897),
+ FRAC_CONST(0.9809441757293399),
+ FRAC_CONST(0.9812883327541090),
+ FRAC_CONST(0.9816276743923267),
+ FRAC_CONST(0.9819622440664515),
+ FRAC_CONST(0.9822920851550995),
+ FRAC_CONST(0.9826172409882086),
+ FRAC_CONST(0.9829377548422400),
+ FRAC_CONST(0.9832536699354163),
+ FRAC_CONST(0.9835650294229984),
+ FRAC_CONST(0.9838718763926001),
+ FRAC_CONST(0.9841742538595437),
+ FRAC_CONST(0.9844722047622547),
+ FRAC_CONST(0.9847657719576983),
+ FRAC_CONST(0.9850549982168574),
+ FRAC_CONST(0.9853399262202529),
+ FRAC_CONST(0.9856205985535073),
+ FRAC_CONST(0.9858970577029519),
+ FRAC_CONST(0.9861693460512790),
+ FRAC_CONST(0.9864375058732389),
+ FRAC_CONST(0.9867015793313820),
+ FRAC_CONST(0.9869616084718489),
+ FRAC_CONST(0.9872176352202061),
+ FRAC_CONST(0.9874697013773301),
+ FRAC_CONST(0.9877178486153397),
+ FRAC_CONST(0.9879621184735767),
+ FRAC_CONST(0.9882025523546365),
+ FRAC_CONST(0.9884391915204485),
+ FRAC_CONST(0.9886720770884069),
+ FRAC_CONST(0.9889012500275530),
+ FRAC_CONST(0.9891267511548089),
+ FRAC_CONST(0.9893486211312621),
+ FRAC_CONST(0.9895669004585049),
+ FRAC_CONST(0.9897816294750255),
+ FRAC_CONST(0.9899928483526520),
+ FRAC_CONST(0.9902005970930525),
+ FRAC_CONST(0.9904049155242876),
+ FRAC_CONST(0.9906058432974180),
+ FRAC_CONST(0.9908034198831690),
+ FRAC_CONST(0.9909976845686489),
+ FRAC_CONST(0.9911886764541239),
+ FRAC_CONST(0.9913764344498495),
+ FRAC_CONST(0.9915609972729590),
+ FRAC_CONST(0.9917424034444086),
+ FRAC_CONST(0.9919206912859797),
+ FRAC_CONST(0.9920958989173397),
+ FRAC_CONST(0.9922680642531603),
+ FRAC_CONST(0.9924372250002933),
+ FRAC_CONST(0.9926034186550070),
+ FRAC_CONST(0.9927666825002789),
+ FRAC_CONST(0.9929270536031491),
+ FRAC_CONST(0.9930845688121325),
+ FRAC_CONST(0.9932392647546895),
+ FRAC_CONST(0.9933911778347579),
+ FRAC_CONST(0.9935403442303433),
+ FRAC_CONST(0.9936867998911693),
+ FRAC_CONST(0.9938305805363887),
+ FRAC_CONST(0.9939717216523539),
+ FRAC_CONST(0.9941102584904481),
+ FRAC_CONST(0.9942462260649764),
+ FRAC_CONST(0.9943796591511174),
+ FRAC_CONST(0.9945105922829353),
+ FRAC_CONST(0.9946390597514524),
+ FRAC_CONST(0.9947650956027824),
+ FRAC_CONST(0.9948887336363228),
+ FRAC_CONST(0.9950100074030103),
+ FRAC_CONST(0.9951289502036336),
+ FRAC_CONST(0.9952455950872091),
+ FRAC_CONST(0.9953599748494155),
+ FRAC_CONST(0.9954721220310890),
+ FRAC_CONST(0.9955820689167787),
+ FRAC_CONST(0.9956898475333619),
+ FRAC_CONST(0.9957954896487196),
+ FRAC_CONST(0.9958990267704713),
+ FRAC_CONST(0.9960004901447701),
+ FRAC_CONST(0.9960999107551559),
+ FRAC_CONST(0.9961973193214694),
+ FRAC_CONST(0.9962927462988245),
+ FRAC_CONST(0.9963862218766388),
+ FRAC_CONST(0.9964777759777242),
+ FRAC_CONST(0.9965674382574342),
+ FRAC_CONST(0.9966552381028704),
+ FRAC_CONST(0.9967412046321465),
+ FRAC_CONST(0.9968253666937095),
+ FRAC_CONST(0.9969077528657186),
+ FRAC_CONST(0.9969883914554805),
+ FRAC_CONST(0.9970673104989413),
+ FRAC_CONST(0.9971445377602348),
+ FRAC_CONST(0.9972201007312871),
+ FRAC_CONST(0.9972940266314749),
+ FRAC_CONST(0.9973663424073412),
+ FRAC_CONST(0.9974370747323638),
+ FRAC_CONST(0.9975062500067785),
+ FRAC_CONST(0.9975738943574574),
+ FRAC_CONST(0.9976400336378379),
+ FRAC_CONST(0.9977046934279079),
+ FRAC_CONST(0.9977678990342401),
+ FRAC_CONST(0.9978296754900812),
+ FRAC_CONST(0.9978900475554902),
+ FRAC_CONST(0.9979490397175296),
+ FRAC_CONST(0.9980066761905056),
+ FRAC_CONST(0.9980629809162593),
+ FRAC_CONST(0.9981179775645063),
+ FRAC_CONST(0.9981716895332257),
+ FRAC_CONST(0.9982241399490979),
+ FRAC_CONST(0.9982753516679893),
+ FRAC_CONST(0.9983253472754841),
+ FRAC_CONST(0.9983741490874634),
+ FRAC_CONST(0.9984217791507299),
+ FRAC_CONST(0.9984682592436778),
+ FRAC_CONST(0.9985136108770075),
+ FRAC_CONST(0.9985578552944850),
+ FRAC_CONST(0.9986010134737439),
+ FRAC_CONST(0.9986431061271304),
+ FRAC_CONST(0.9986841537025921),
+ FRAC_CONST(0.9987241763846056),
+ FRAC_CONST(0.9987631940951476),
+ FRAC_CONST(0.9988012264947044),
+ FRAC_CONST(0.9988382929833222),
+ FRAC_CONST(0.9988744127016956),
+ FRAC_CONST(0.9989096045322947),
+ FRAC_CONST(0.9989438871005292),
+ FRAC_CONST(0.9989772787759494),
+ FRAC_CONST(0.9990097976734847),
+ FRAC_CONST(0.9990414616547146),
+ FRAC_CONST(0.9990722883291779),
+ FRAC_CONST(0.9991022950557125),
+ FRAC_CONST(0.9991314989438310),
+ FRAC_CONST(0.9991599168551279),
+ FRAC_CONST(0.9991875654047181),
+ FRAC_CONST(0.9992144609627068),
+ FRAC_CONST(0.9992406196556911),
+ FRAC_CONST(0.9992660573682882),
+ FRAC_CONST(0.9992907897446957),
+ FRAC_CONST(0.9993148321902777),
+ FRAC_CONST(0.9993381998731797),
+ FRAC_CONST(0.9993609077259696),
+ FRAC_CONST(0.9993829704473038),
+ FRAC_CONST(0.9994044025036201),
+ FRAC_CONST(0.9994252181308537),
+ FRAC_CONST(0.9994454313361775),
+ FRAC_CONST(0.9994650558997651),
+ FRAC_CONST(0.9994841053765757),
+ FRAC_CONST(0.9995025930981609),
+ FRAC_CONST(0.9995205321744921),
+ FRAC_CONST(0.9995379354958073),
+ FRAC_CONST(0.9995548157344778),
+ FRAC_CONST(0.9995711853468930),
+ FRAC_CONST(0.9995870565753632),
+ FRAC_CONST(0.9996024414500382),
+ FRAC_CONST(0.9996173517908444),
+ FRAC_CONST(0.9996317992094352),
+ FRAC_CONST(0.9996457951111574),
+ FRAC_CONST(0.9996593506970310),
+ FRAC_CONST(0.9996724769657434),
+ FRAC_CONST(0.9996851847156547),
+ FRAC_CONST(0.9996974845468164),
+ FRAC_CONST(0.9997093868630000),
+ FRAC_CONST(0.9997209018737374),
+ FRAC_CONST(0.9997320395963699),
+ FRAC_CONST(0.9997428098581069),
+ FRAC_CONST(0.9997532222980933),
+ FRAC_CONST(0.9997632863694836),
+ FRAC_CONST(0.9997730113415246),
+ FRAC_CONST(0.9997824063016426),
+ FRAC_CONST(0.9997914801575380),
+ FRAC_CONST(0.9998002416392840),
+ FRAC_CONST(0.9998086993014300),
+ FRAC_CONST(0.9998168615251084),
+ FRAC_CONST(0.9998247365201450),
+ FRAC_CONST(0.9998323323271717),
+ FRAC_CONST(0.9998396568197407),
+ FRAC_CONST(0.9998467177064404),
+ FRAC_CONST(0.9998535225330116),
+ FRAC_CONST(0.9998600786844637),
+ FRAC_CONST(0.9998663933871905),
+ FRAC_CONST(0.9998724737110845),
+ FRAC_CONST(0.9998783265716498),
+ FRAC_CONST(0.9998839587321121),
+ FRAC_CONST(0.9998893768055266),
+ FRAC_CONST(0.9998945872568815),
+ FRAC_CONST(0.9998995964051983),
+ FRAC_CONST(0.9999044104256269),
+ FRAC_CONST(0.9999090353515359),
+ FRAC_CONST(0.9999134770765971),
+ FRAC_CONST(0.9999177413568642),
+ FRAC_CONST(0.9999218338128448),
+ FRAC_CONST(0.9999257599315647),
+ FRAC_CONST(0.9999295250686255),
+ FRAC_CONST(0.9999331344502529),
+ FRAC_CONST(0.9999365931753376),
+ FRAC_CONST(0.9999399062174669),
+ FRAC_CONST(0.9999430784269460),
+ FRAC_CONST(0.9999461145328103),
+ FRAC_CONST(0.9999490191448277),
+ FRAC_CONST(0.9999517967554878),
+ FRAC_CONST(0.9999544517419835),
+ FRAC_CONST(0.9999569883681778),
+ FRAC_CONST(0.9999594107865607),
+ FRAC_CONST(0.9999617230401926),
+ FRAC_CONST(0.9999639290646355),
+ FRAC_CONST(0.9999660326898712),
+ FRAC_CONST(0.9999680376422052),
+ FRAC_CONST(0.9999699475461585),
+ FRAC_CONST(0.9999717659263435),
+ FRAC_CONST(0.9999734962093266),
+ FRAC_CONST(0.9999751417254756),
+ FRAC_CONST(0.9999767057107922),
+ FRAC_CONST(0.9999781913087290),
+ FRAC_CONST(0.9999796015719915),
+ FRAC_CONST(0.9999809394643231),
+ FRAC_CONST(0.9999822078622751),
+ FRAC_CONST(0.9999834095569596),
+ FRAC_CONST(0.9999845472557860),
+ FRAC_CONST(0.9999856235841805),
+ FRAC_CONST(0.9999866410872889),
+ FRAC_CONST(0.9999876022316609),
+ FRAC_CONST(0.9999885094069193),
+ FRAC_CONST(0.9999893649274085),
+ FRAC_CONST(0.9999901710338274),
+ FRAC_CONST(0.9999909298948430),
+ FRAC_CONST(0.9999916436086862),
+ FRAC_CONST(0.9999923142047299),
+ FRAC_CONST(0.9999929436450469),
+ FRAC_CONST(0.9999935338259505),
+ FRAC_CONST(0.9999940865795161),
+ FRAC_CONST(0.9999946036750835),
+ FRAC_CONST(0.9999950868207405),
+ FRAC_CONST(0.9999955376647868),
+ FRAC_CONST(0.9999959577971798),
+ FRAC_CONST(0.9999963487509599),
+ FRAC_CONST(0.9999967120036571),
+ FRAC_CONST(0.9999970489786785),
+ FRAC_CONST(0.9999973610466748),
+ FRAC_CONST(0.9999976495268890),
+ FRAC_CONST(0.9999979156884846),
+ FRAC_CONST(0.9999981607518545),
+ FRAC_CONST(0.9999983858899099),
+ FRAC_CONST(0.9999985922293493),
+ FRAC_CONST(0.9999987808519092),
+ FRAC_CONST(0.9999989527955938),
+ FRAC_CONST(0.9999991090558848),
+ FRAC_CONST(0.9999992505869332),
+ FRAC_CONST(0.9999993783027293),
+ FRAC_CONST(0.9999994930782556),
+ FRAC_CONST(0.9999995957506171),
+ FRAC_CONST(0.9999996871201549),
+ FRAC_CONST(0.9999997679515386),
+ FRAC_CONST(0.9999998389748399),
+ FRAC_CONST(0.9999999008865869),
+ FRAC_CONST(0.9999999543507984)
};
+#endif
-real_t kbd_short_128[] =
+ALIGN static const real_t kbd_short_128[] =
{
- COEF_CONST(4.3795702929468881e-005),
- COEF_CONST(0.00011867384265436617),
- COEF_CONST(0.0002307165763996192),
- COEF_CONST(0.00038947282760568383),
- COEF_CONST(0.00060581272288302553),
- COEF_CONST(0.00089199695169487453),
- COEF_CONST(0.0012617254423430522),
- COEF_CONST(0.0017301724373162003),
- COEF_CONST(0.0023140071937421476),
- COEF_CONST(0.0030313989666022221),
- COEF_CONST(0.0039020049735530842),
- COEF_CONST(0.0049469401815512024),
- COEF_CONST(0.0061887279335368318),
- COEF_CONST(0.0076512306364647726),
- COEF_CONST(0.0093595599562652423),
- COEF_CONST(0.011339966208377799),
- COEF_CONST(0.013619706891715299),
- COEF_CONST(0.016226894586323766),
- COEF_CONST(0.019190324717288168),
- COEF_CONST(0.022539283975960878),
- COEF_CONST(0.026303340480472455),
- COEF_CONST(0.030512117046644357),
- COEF_CONST(0.03519504922365594),
- COEF_CONST(0.040381130021856941),
- COEF_CONST(0.046098643518702249),
- COEF_CONST(0.052374889768730587),
- COEF_CONST(0.059235903660769147),
- COEF_CONST(0.066706170556282418),
- COEF_CONST(0.074808341703430481),
- COEF_CONST(0.083562952548726227),
- COEF_CONST(0.092988147159339674),
- COEF_CONST(0.1030994120216919),
- COEF_CONST(0.11390932249409955),
- COEF_CONST(0.12542730516149531),
- COEF_CONST(0.13765941926783826),
- COEF_CONST(0.15060816028651081),
- COEF_CONST(0.16427228853114245),
- COEF_CONST(0.17864668550988483),
- COEF_CONST(0.19372224048676889),
- COEF_CONST(0.20948576943658073),
- COEF_CONST(0.22591996826744942),
- COEF_CONST(0.24300340184133981),
- COEF_CONST(0.26071052995068139),
- COEF_CONST(0.27901177101369551),
- COEF_CONST(0.29787360383626599),
- COEF_CONST(0.3172587073594233),
- COEF_CONST(0.33712613787396362),
- COEF_CONST(0.35743154274286698),
- COEF_CONST(0.37812740923363009),
- COEF_CONST(0.39916334663203618),
- COEF_CONST(0.42048639939189658),
- COEF_CONST(0.4420413886774246),
- COEF_CONST(0.4637712792815169),
- COEF_CONST(0.4856175685594023),
- COEF_CONST(0.50752069370766872),
- COEF_CONST(0.52942045344797806),
- COEF_CONST(0.55125643994680196),
- COEF_CONST(0.57296847662071559),
- COEF_CONST(0.59449705734411495),
- COEF_CONST(0.61578378249506627),
- COEF_CONST(0.63677178724712891),
- COEF_CONST(0.65740615754163356),
- COEF_CONST(0.67763432925662526),
- COEF_CONST(0.69740646622548552),
- COEF_CONST(0.71667581294953808),
- COEF_CONST(0.73539901809352737),
- COEF_CONST(0.75353642514900732),
- COEF_CONST(0.77105232699609816),
- COEF_CONST(0.78791518148597028),
- COEF_CONST(0.80409778560147072),
- COEF_CONST(0.81957740622770781),
- COEF_CONST(0.83433586607383625),
- COEF_CONST(0.84835958382689225),
- COEF_CONST(0.86163956818294229),
- COEF_CONST(0.87417136598406997),
- COEF_CONST(0.88595496528524853),
- COEF_CONST(0.89699465477567619),
- COEF_CONST(0.90729884157670959),
- COEF_CONST(0.91687983002436779),
- COEF_CONST(0.92575356460899649),
- COEF_CONST(0.93393934077779084),
- COEF_CONST(0.94145948779657318),
- COEF_CONST(0.94833902830402828),
- COEF_CONST(0.95460531956280026),
- COEF_CONST(0.96028768170574896),
- COEF_CONST(0.96541701848104766),
- COEF_CONST(0.97002543610646474),
- COEF_CONST(0.97414586584250062),
- COEF_CONST(0.97781169577969584),
- COEF_CONST(0.98105641710392333),
- COEF_CONST(0.98391328975491177),
- COEF_CONST(0.98641503193166202),
- COEF_CONST(0.98859353733226141),
- COEF_CONST(0.99047962335771556),
- COEF_CONST(0.9921028127769449),
- COEF_CONST(0.99349115056397752),
- COEF_CONST(0.99467105680259038),
- COEF_CONST(0.9956672157341897),
- COEF_CONST(0.99650250022834352),
- COEF_CONST(0.99719793020823266),
- COEF_CONST(0.99777266288955657),
- COEF_CONST(0.99824401211201486),
- COEF_CONST(0.99862749357391212),
- COEF_CONST(0.99893689243401962),
- COEF_CONST(0.99918434952623147),
- COEF_CONST(0.99938046234161726),
- COEF_CONST(0.99953439696357238),
- COEF_CONST(0.99965400728430465),
- COEF_CONST(0.99974595807027455),
- COEF_CONST(0.99981584876278362),
- COEF_CONST(0.99986833527824281),
- COEF_CONST(0.99990724749057802),
- COEF_CONST(0.99993570051598468),
- COEF_CONST(0.99995619835942084),
- COEF_CONST(0.99997072890647543),
- COEF_CONST(0.9999808496399144),
- COEF_CONST(0.99998776381655818),
- COEF_CONST(0.99999238714961569),
- COEF_CONST(0.99999540529959718),
- COEF_CONST(0.99999732268176988),
- COEF_CONST(0.99999850325054862),
- COEF_CONST(0.99999920402413744),
- COEF_CONST(0.9999996021706401),
- COEF_CONST(0.99999981649545566),
- COEF_CONST(0.99999992415545547),
- COEF_CONST(0.99999997338493041),
- COEF_CONST(0.99999999295825959),
- COEF_CONST(0.99999999904096815)
+ FRAC_CONST(4.3795702929468881e-005),
+ FRAC_CONST(0.00011867384265436617),
+ FRAC_CONST(0.0002307165763996192),
+ FRAC_CONST(0.00038947282760568383),
+ FRAC_CONST(0.00060581272288302553),
+ FRAC_CONST(0.00089199695169487453),
+ FRAC_CONST(0.0012617254423430522),
+ FRAC_CONST(0.0017301724373162003),
+ FRAC_CONST(0.0023140071937421476),
+ FRAC_CONST(0.0030313989666022221),
+ FRAC_CONST(0.0039020049735530842),
+ FRAC_CONST(0.0049469401815512024),
+ FRAC_CONST(0.0061887279335368318),
+ FRAC_CONST(0.0076512306364647726),
+ FRAC_CONST(0.0093595599562652423),
+ FRAC_CONST(0.011339966208377799),
+ FRAC_CONST(0.013619706891715299),
+ FRAC_CONST(0.016226894586323766),
+ FRAC_CONST(0.019190324717288168),
+ FRAC_CONST(0.022539283975960878),
+ FRAC_CONST(0.026303340480472455),
+ FRAC_CONST(0.030512117046644357),
+ FRAC_CONST(0.03519504922365594),
+ FRAC_CONST(0.040381130021856941),
+ FRAC_CONST(0.046098643518702249),
+ FRAC_CONST(0.052374889768730587),
+ FRAC_CONST(0.059235903660769147),
+ FRAC_CONST(0.066706170556282418),
+ FRAC_CONST(0.074808341703430481),
+ FRAC_CONST(0.083562952548726227),
+ FRAC_CONST(0.092988147159339674),
+ FRAC_CONST(0.1030994120216919),
+ FRAC_CONST(0.11390932249409955),
+ FRAC_CONST(0.12542730516149531),
+ FRAC_CONST(0.13765941926783826),
+ FRAC_CONST(0.15060816028651081),
+ FRAC_CONST(0.16427228853114245),
+ FRAC_CONST(0.17864668550988483),
+ FRAC_CONST(0.19372224048676889),
+ FRAC_CONST(0.20948576943658073),
+ FRAC_CONST(0.22591996826744942),
+ FRAC_CONST(0.24300340184133981),
+ FRAC_CONST(0.26071052995068139),
+ FRAC_CONST(0.27901177101369551),
+ FRAC_CONST(0.29787360383626599),
+ FRAC_CONST(0.3172587073594233),
+ FRAC_CONST(0.33712613787396362),
+ FRAC_CONST(0.35743154274286698),
+ FRAC_CONST(0.37812740923363009),
+ FRAC_CONST(0.39916334663203618),
+ FRAC_CONST(0.42048639939189658),
+ FRAC_CONST(0.4420413886774246),
+ FRAC_CONST(0.4637712792815169),
+ FRAC_CONST(0.4856175685594023),
+ FRAC_CONST(0.50752069370766872),
+ FRAC_CONST(0.52942045344797806),
+ FRAC_CONST(0.55125643994680196),
+ FRAC_CONST(0.57296847662071559),
+ FRAC_CONST(0.59449705734411495),
+ FRAC_CONST(0.61578378249506627),
+ FRAC_CONST(0.63677178724712891),
+ FRAC_CONST(0.65740615754163356),
+ FRAC_CONST(0.67763432925662526),
+ FRAC_CONST(0.69740646622548552),
+ FRAC_CONST(0.71667581294953808),
+ FRAC_CONST(0.73539901809352737),
+ FRAC_CONST(0.75353642514900732),
+ FRAC_CONST(0.77105232699609816),
+ FRAC_CONST(0.78791518148597028),
+ FRAC_CONST(0.80409778560147072),
+ FRAC_CONST(0.81957740622770781),
+ FRAC_CONST(0.83433586607383625),
+ FRAC_CONST(0.84835958382689225),
+ FRAC_CONST(0.86163956818294229),
+ FRAC_CONST(0.87417136598406997),
+ FRAC_CONST(0.88595496528524853),
+ FRAC_CONST(0.89699465477567619),
+ FRAC_CONST(0.90729884157670959),
+ FRAC_CONST(0.91687983002436779),
+ FRAC_CONST(0.92575356460899649),
+ FRAC_CONST(0.93393934077779084),
+ FRAC_CONST(0.94145948779657318),
+ FRAC_CONST(0.94833902830402828),
+ FRAC_CONST(0.95460531956280026),
+ FRAC_CONST(0.96028768170574896),
+ FRAC_CONST(0.96541701848104766),
+ FRAC_CONST(0.97002543610646474),
+ FRAC_CONST(0.97414586584250062),
+ FRAC_CONST(0.97781169577969584),
+ FRAC_CONST(0.98105641710392333),
+ FRAC_CONST(0.98391328975491177),
+ FRAC_CONST(0.98641503193166202),
+ FRAC_CONST(0.98859353733226141),
+ FRAC_CONST(0.99047962335771556),
+ FRAC_CONST(0.9921028127769449),
+ FRAC_CONST(0.99349115056397752),
+ FRAC_CONST(0.99467105680259038),
+ FRAC_CONST(0.9956672157341897),
+ FRAC_CONST(0.99650250022834352),
+ FRAC_CONST(0.99719793020823266),
+ FRAC_CONST(0.99777266288955657),
+ FRAC_CONST(0.99824401211201486),
+ FRAC_CONST(0.99862749357391212),
+ FRAC_CONST(0.99893689243401962),
+ FRAC_CONST(0.99918434952623147),
+ FRAC_CONST(0.99938046234161726),
+ FRAC_CONST(0.99953439696357238),
+ FRAC_CONST(0.99965400728430465),
+ FRAC_CONST(0.99974595807027455),
+ FRAC_CONST(0.99981584876278362),
+ FRAC_CONST(0.99986833527824281),
+ FRAC_CONST(0.99990724749057802),
+ FRAC_CONST(0.99993570051598468),
+ FRAC_CONST(0.99995619835942084),
+ FRAC_CONST(0.99997072890647543),
+ FRAC_CONST(0.9999808496399144),
+ FRAC_CONST(0.99998776381655818),
+ FRAC_CONST(0.99999238714961569),
+ FRAC_CONST(0.99999540529959718),
+ FRAC_CONST(0.99999732268176988),
+ FRAC_CONST(0.99999850325054862),
+ FRAC_CONST(0.99999920402413744),
+ FRAC_CONST(0.9999996021706401),
+ FRAC_CONST(0.99999981649545566),
+ FRAC_CONST(0.99999992415545547),
+ FRAC_CONST(0.99999997338493041),
+ FRAC_CONST(0.99999999295825959),
+ FRAC_CONST(0.99999999904096815)
};
-real_t kbd_short_120[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const real_t kbd_short_120[] =
{
- COEF_CONST(0.0000452320086910),
- COEF_CONST(0.0001274564692111),
- COEF_CONST(0.0002529398385345),
- COEF_CONST(0.0004335140496648),
- COEF_CONST(0.0006827100966952),
- COEF_CONST(0.0010158708222246),
- COEF_CONST(0.0014502162869659),
- COEF_CONST(0.0020048865156264),
- COEF_CONST(0.0027009618393178),
- COEF_CONST(0.0035614590925043),
- COEF_CONST(0.0046113018122711),
- COEF_CONST(0.0058772627936484),
- COEF_CONST(0.0073878776584103),
- COEF_CONST(0.0091733284512589),
- COEF_CONST(0.0112652966728373),
- COEF_CONST(0.0136967855861945),
- COEF_CONST(0.0165019120857793),
- COEF_CONST(0.0197156688892217),
- COEF_CONST(0.0233736582950619),
- COEF_CONST(0.0275117992367496),
- COEF_CONST(0.0321660098468534),
- COEF_CONST(0.0373718682174417),
- COEF_CONST(0.0431642544948834),
- COEF_CONST(0.0495769778717676),
- COEF_CONST(0.0566423924273392),
- COEF_CONST(0.0643910061132260),
- COEF_CONST(0.0728510874761729),
- COEF_CONST(0.0820482749475221),
- COEF_CONST(0.0920051937045235),
- COEF_CONST(0.1027410852163450),
- COEF_CONST(0.1142714546239370),
- COEF_CONST(0.1266077410648368),
- COEF_CONST(0.1397570159398145),
- COEF_CONST(0.1537217139274270),
- COEF_CONST(0.1684994012857075),
- COEF_CONST(0.1840825856392944),
- COEF_CONST(0.2004585710384133),
- COEF_CONST(0.2176093615976121),
- COEF_CONST(0.2355116164824983),
- COEF_CONST(0.2541366584185075),
- COEF_CONST(0.2734505372545160),
- COEF_CONST(0.2934141494343369),
- COEF_CONST(0.3139834135200387),
- COEF_CONST(0.3351095011824163),
- COEF_CONST(0.3567391223361566),
- COEF_CONST(0.3788148623608774),
- COEF_CONST(0.4012755686250732),
- COEF_CONST(0.4240567828288110),
- COEF_CONST(0.4470912150133537),
- COEF_CONST(0.4703092544619664),
- COEF_CONST(0.4936395121456694),
- COEF_CONST(0.5170093888596962),
- COEF_CONST(0.5403456627591340),
- COEF_CONST(0.5635750896430154),
- COEF_CONST(0.5866250090612892),
- COEF_CONST(0.6094239491338723),
- COEF_CONST(0.6319022228794100),
- COEF_CONST(0.6539925088563087),
- COEF_CONST(0.6756304090216887),
- COEF_CONST(0.6967549769155277),
- COEF_CONST(0.7173092095766250),
- COEF_CONST(0.7372404969921184),
- COEF_CONST(0.7565010233699827),
- COEF_CONST(0.7750481150999984),
- COEF_CONST(0.7928445309277697),
- COEF_CONST(0.8098586906021583),
- COEF_CONST(0.8260648390616000),
- COEF_CONST(0.8414431440907889),
- COEF_CONST(0.8559797262966709),
- COEF_CONST(0.8696666212110165),
- COEF_CONST(0.8825016743142358),
- COEF_CONST(0.8944883707784486),
- COEF_CONST(0.9056356027326216),
- COEF_CONST(0.9159573778427816),
- COEF_CONST(0.9254724739583072),
- COEF_CONST(0.9342040454819434),
- COEF_CONST(0.9421791879559176),
- COEF_CONST(0.9494284680976784),
- COEF_CONST(0.9559854271440150),
- COEF_CONST(0.9618860658493898),
- COEF_CONST(0.9671683198119525),
- COEF_CONST(0.9718715339497299),
- COEF_CONST(0.9760359449042233),
- COEF_CONST(0.9797021798981759),
- COEF_CONST(0.9829107801140203),
- COEF_CONST(0.9857017559923277),
- COEF_CONST(0.9881141809867999),
- COEF_CONST(0.9901858292742826),
- COEF_CONST(0.9919528617340944),
- COEF_CONST(0.9934495632180476),
- COEF_CONST(0.9947081327749199),
- COEF_CONST(0.9957585271195989),
- COEF_CONST(0.9966283562984427),
- COEF_CONST(0.9973428292485683),
- COEF_CONST(0.9979247458259197),
- COEF_CONST(0.9983945309245774),
- COEF_CONST(0.9987703055583410),
- COEF_CONST(0.9990679892449266),
- COEF_CONST(0.9993014277313617),
- COEF_CONST(0.9994825400228521),
- COEF_CONST(0.9996214788122335),
- COEF_CONST(0.9997267987294857),
- COEF_CONST(0.9998056273097539),
- COEF_CONST(0.9998638341781910),
- COEF_CONST(0.9999061946325793),
- COEF_CONST(0.9999365445321382),
- COEF_CONST(0.9999579241373735),
- COEF_CONST(0.9999727092594598),
- COEF_CONST(0.9999827287418790),
- COEF_CONST(0.9999893678912771),
- COEF_CONST(0.9999936579844555),
- COEF_CONST(0.9999963523959187),
- COEF_CONST(0.9999979902130101),
- COEF_CONST(0.9999989484358076),
- COEF_CONST(0.9999994840031031),
- COEF_CONST(0.9999997669534347),
- COEF_CONST(0.9999999060327799),
- COEF_CONST(0.9999999680107184),
- COEF_CONST(0.9999999918774242),
- COEF_CONST(0.9999999989770326)
+ FRAC_CONST(0.0000452320086910),
+ FRAC_CONST(0.0001274564692111),
+ FRAC_CONST(0.0002529398385345),
+ FRAC_CONST(0.0004335140496648),
+ FRAC_CONST(0.0006827100966952),
+ FRAC_CONST(0.0010158708222246),
+ FRAC_CONST(0.0014502162869659),
+ FRAC_CONST(0.0020048865156264),
+ FRAC_CONST(0.0027009618393178),
+ FRAC_CONST(0.0035614590925043),
+ FRAC_CONST(0.0046113018122711),
+ FRAC_CONST(0.0058772627936484),
+ FRAC_CONST(0.0073878776584103),
+ FRAC_CONST(0.0091733284512589),
+ FRAC_CONST(0.0112652966728373),
+ FRAC_CONST(0.0136967855861945),
+ FRAC_CONST(0.0165019120857793),
+ FRAC_CONST(0.0197156688892217),
+ FRAC_CONST(0.0233736582950619),
+ FRAC_CONST(0.0275117992367496),
+ FRAC_CONST(0.0321660098468534),
+ FRAC_CONST(0.0373718682174417),
+ FRAC_CONST(0.0431642544948834),
+ FRAC_CONST(0.0495769778717676),
+ FRAC_CONST(0.0566423924273392),
+ FRAC_CONST(0.0643910061132260),
+ FRAC_CONST(0.0728510874761729),
+ FRAC_CONST(0.0820482749475221),
+ FRAC_CONST(0.0920051937045235),
+ FRAC_CONST(0.1027410852163450),
+ FRAC_CONST(0.1142714546239370),
+ FRAC_CONST(0.1266077410648368),
+ FRAC_CONST(0.1397570159398145),
+ FRAC_CONST(0.1537217139274270),
+ FRAC_CONST(0.1684994012857075),
+ FRAC_CONST(0.1840825856392944),
+ FRAC_CONST(0.2004585710384133),
+ FRAC_CONST(0.2176093615976121),
+ FRAC_CONST(0.2355116164824983),
+ FRAC_CONST(0.2541366584185075),
+ FRAC_CONST(0.2734505372545160),
+ FRAC_CONST(0.2934141494343369),
+ FRAC_CONST(0.3139834135200387),
+ FRAC_CONST(0.3351095011824163),
+ FRAC_CONST(0.3567391223361566),
+ FRAC_CONST(0.3788148623608774),
+ FRAC_CONST(0.4012755686250732),
+ FRAC_CONST(0.4240567828288110),
+ FRAC_CONST(0.4470912150133537),
+ FRAC_CONST(0.4703092544619664),
+ FRAC_CONST(0.4936395121456694),
+ FRAC_CONST(0.5170093888596962),
+ FRAC_CONST(0.5403456627591340),
+ FRAC_CONST(0.5635750896430154),
+ FRAC_CONST(0.5866250090612892),
+ FRAC_CONST(0.6094239491338723),
+ FRAC_CONST(0.6319022228794100),
+ FRAC_CONST(0.6539925088563087),
+ FRAC_CONST(0.6756304090216887),
+ FRAC_CONST(0.6967549769155277),
+ FRAC_CONST(0.7173092095766250),
+ FRAC_CONST(0.7372404969921184),
+ FRAC_CONST(0.7565010233699827),
+ FRAC_CONST(0.7750481150999984),
+ FRAC_CONST(0.7928445309277697),
+ FRAC_CONST(0.8098586906021583),
+ FRAC_CONST(0.8260648390616000),
+ FRAC_CONST(0.8414431440907889),
+ FRAC_CONST(0.8559797262966709),
+ FRAC_CONST(0.8696666212110165),
+ FRAC_CONST(0.8825016743142358),
+ FRAC_CONST(0.8944883707784486),
+ FRAC_CONST(0.9056356027326216),
+ FRAC_CONST(0.9159573778427816),
+ FRAC_CONST(0.9254724739583072),
+ FRAC_CONST(0.9342040454819434),
+ FRAC_CONST(0.9421791879559176),
+ FRAC_CONST(0.9494284680976784),
+ FRAC_CONST(0.9559854271440150),
+ FRAC_CONST(0.9618860658493898),
+ FRAC_CONST(0.9671683198119525),
+ FRAC_CONST(0.9718715339497299),
+ FRAC_CONST(0.9760359449042233),
+ FRAC_CONST(0.9797021798981759),
+ FRAC_CONST(0.9829107801140203),
+ FRAC_CONST(0.9857017559923277),
+ FRAC_CONST(0.9881141809867999),
+ FRAC_CONST(0.9901858292742826),
+ FRAC_CONST(0.9919528617340944),
+ FRAC_CONST(0.9934495632180476),
+ FRAC_CONST(0.9947081327749199),
+ FRAC_CONST(0.9957585271195989),
+ FRAC_CONST(0.9966283562984427),
+ FRAC_CONST(0.9973428292485683),
+ FRAC_CONST(0.9979247458259197),
+ FRAC_CONST(0.9983945309245774),
+ FRAC_CONST(0.9987703055583410),
+ FRAC_CONST(0.9990679892449266),
+ FRAC_CONST(0.9993014277313617),
+ FRAC_CONST(0.9994825400228521),
+ FRAC_CONST(0.9996214788122335),
+ FRAC_CONST(0.9997267987294857),
+ FRAC_CONST(0.9998056273097539),
+ FRAC_CONST(0.9998638341781910),
+ FRAC_CONST(0.9999061946325793),
+ FRAC_CONST(0.9999365445321382),
+ FRAC_CONST(0.9999579241373735),
+ FRAC_CONST(0.9999727092594598),
+ FRAC_CONST(0.9999827287418790),
+ FRAC_CONST(0.9999893678912771),
+ FRAC_CONST(0.9999936579844555),
+ FRAC_CONST(0.9999963523959187),
+ FRAC_CONST(0.9999979902130101),
+ FRAC_CONST(0.9999989484358076),
+ FRAC_CONST(0.9999994840031031),
+ FRAC_CONST(0.9999997669534347),
+ FRAC_CONST(0.9999999060327799),
+ FRAC_CONST(0.9999999680107184),
+ FRAC_CONST(0.9999999918774242),
+ FRAC_CONST(0.9999999989770326)
};
+#endif
#ifdef __cplusplus
}
Index: lt_predict.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/lt_predict.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- lt_predict.c 3 Oct 2003 22:22:27 -0000 1.2
+++ lt_predict.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,27 +37,55 @@
#include "filtbank.h"
#include "tns.h"
-static real_t codebook[8] =
+
+/* static function declarations */
+static int16_t real_to_int16(real_t sig_in);
+
+
+/* check if the object type is an object type that can have LTP */
+uint8_t is_ltp_ot(uint8_t object_type)
+{
+#ifdef LTP_DEC
+ if ((object_type == LTP)
+#ifdef ERROR_RESILIENCE
+ || (object_type == ER_LTP)
+#endif
+#ifdef LD_DEC
+ || (object_type == LD)
+#endif
+#ifdef SCALABLE_DEC
+ || (object_type == 6) /* TODO */
+#endif
+ )
+ {
+ return 1;
+ }
+#endif
+
+ return 0;
+}
+
+ALIGN static const real_t codebook[8] =
{
- COEF_CONST(0.570829),
- COEF_CONST(0.696616),
- COEF_CONST(0.813004),
- COEF_CONST(0.911304),
- COEF_CONST(0.984900),
- COEF_CONST(1.067894),
- COEF_CONST(1.194601),
- COEF_CONST(1.369533)
+ REAL_CONST(0.570829),
+ REAL_CONST(0.696616),
+ REAL_CONST(0.813004),
+ REAL_CONST(0.911304),
+ REAL_CONST(0.984900),
+ REAL_CONST(1.067894),
+ REAL_CONST(1.194601),
+ REAL_CONST(1.369533)
};
void lt_prediction(ic_stream *ics, ltp_info *ltp, real_t *spec,
- real_t *lt_pred_stat, fb_info *fb, uint8_t win_shape,
+ int16_t *lt_pred_stat, fb_info *fb, uint8_t win_shape,
uint8_t win_shape_prev, uint8_t sr_index,
uint8_t object_type, uint16_t frame_len)
{
uint8_t sfb;
uint16_t bin, i, num_samples;
- real_t *x_est;
- real_t *X_est;
+ ALIGN real_t x_est[2048];
+ ALIGN real_t X_est[2048];
if (ics->window_sequence != EIGHT_SHORT_SEQUENCE)
{
@@ -65,15 +93,20 @@
{
num_samples = frame_len << 1;
- x_est = (real_t*)malloc(num_samples*sizeof(real_t));
- X_est = (real_t*)malloc(num_samples*sizeof(real_t));
-
for(i = 0; i < num_samples; i++)
{
/* The extra lookback M (N/2 for LD, 0 for LTP) is handled
in the buffer updating */
+
+#if 0
x_est[i] = MUL_R_C(lt_pred_stat[num_samples + i - ltp->lag],
codebook[ltp->coef]);
+#else
+ /* lt_pred_stat is a 16 bit int, multiplied with the fixed point real
+ this gives a real for x_est
+ */
+ x_est[i] = (real_t)lt_pred_stat[num_samples + i - ltp->lag] * codebook[ltp->coef];
+#endif
}
filter_bank_ltp(fb, ics->window_sequence, win_shape, win_shape_prev,
@@ -95,14 +128,49 @@
}
}
}
-
- free(x_est);
- free(X_est);
}
}
}
-void lt_update_state(real_t *lt_pred_stat, real_t *time, real_t *overlap,
+#ifdef FIXED_POINT
+static INLINE int16_t real_to_int16(real_t sig_in)
+{
+ if (sig_in >= 0)
+ {
+ sig_in += (1 << (REAL_BITS-1));
+ if (sig_in >= REAL_CONST(32768))
+ return 32767;
+ } else {
+ sig_in += -(1 << (REAL_BITS-1));
+ if (sig_in <= REAL_CONST(-32768))
+ return -32768;
+ }
+
+ return (sig_in >> REAL_BITS);
+}
+#else
+static INLINE int16_t real_to_int16(real_t sig_in)
+{
+ if (sig_in >= 0)
+ {
+#ifndef HAS_LRINTF
+ sig_in += 0.5f;
+#endif
+ if (sig_in >= 32768.0f)
+ return 32767;
+ } else {
+#ifndef HAS_LRINTF
+ sig_in += -0.5f;
+#endif
+ if (sig_in <= -32768.0f)
+ return -32768;
+ }
+
+ return lrintf(sig_in);
+}
+#endif
+
+void lt_update_state(int16_t *lt_pred_stat, real_t *time, real_t *overlap,
uint16_t frame_len, uint8_t object_type)
{
uint16_t i;
@@ -125,16 +193,16 @@
{
lt_pred_stat[i] /* extra 512 */ = lt_pred_stat[i + frame_len];
lt_pred_stat[frame_len + i] = lt_pred_stat[i + (frame_len * 2)];
- lt_pred_stat[(frame_len * 2) + i] = time[i];
- lt_pred_stat[(frame_len * 3) + i] = overlap[i];
+ lt_pred_stat[(frame_len * 2) + i] = real_to_int16(time[i]);
+ lt_pred_stat[(frame_len * 3) + i] = real_to_int16(overlap[i]);
}
} else {
#endif
for (i = 0; i < frame_len; i++)
{
lt_pred_stat[i] = lt_pred_stat[i + frame_len];
- lt_pred_stat[frame_len + i] = time[i];
- lt_pred_stat[(frame_len * 2) + i] = overlap[i];
+ lt_pred_stat[frame_len + i] = real_to_int16(time[i]);
+ lt_pred_stat[(frame_len * 2) + i] = real_to_int16(overlap[i]);
#if 0 /* set to zero once upon initialisation */
lt_pred_stat[(frame_len * 3) + i] = 0;
#endif
Index: lt_predict.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/lt_predict.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- lt_predict.h 3 Oct 2003 22:22:27 -0000 1.2
+++ lt_predict.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -36,10 +36,12 @@
#include "filtbank.h"
+uint8_t is_ltp_ot(uint8_t object_type);
+
void lt_prediction(ic_stream *ics,
ltp_info *ltp,
real_t *spec,
- real_t *lt_pred_stat,
+ int16_t *lt_pred_stat,
fb_info *fb,
uint8_t win_shape,
uint8_t win_shape_prev,
@@ -47,7 +49,7 @@
uint8_t object_type,
uint16_t frame_len);
-void lt_update_state(real_t *lt_pred_stat,
+void lt_update_state(int16_t *lt_pred_stat,
real_t *time,
real_t *overlap,
uint16_t frame_len,
Index: mdct.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/mdct.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- mdct.c 3 Oct 2003 22:22:27 -0000 1.2
+++ mdct.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -61,57 +61,66 @@
3: cos(2 * PI * (1/8) / N)
4: sin(2 * PI * (1/8) / N)
*/
-#ifndef FIXED_POINT
-#ifdef _MSC_VER
-#pragma warning(disable:4305)
-#pragma warning(disable:4244)
-#endif
-real_t const_tab[][5] =
-{
- { COEF_CONST(0.0312500000), COEF_CONST(0.9999952938), COEF_CONST(0.0030679568),
- COEF_CONST(0.9999999265), COEF_CONST(0.0003834952) }, /* 2048 */
- { COEF_CONST(0.0322748612), COEF_CONST(0.9999946356), COEF_CONST(0.0032724866),
- COEF_CONST(0.9999999404), COEF_CONST(0.0004090615) }, /* 1920 */
- { COEF_CONST(0.0441941738), COEF_CONST(0.9999811649), COEF_CONST(0.0061358847),
- COEF_CONST(0.9999997020), COEF_CONST(0.0007669903) }, /* 1024 */
- { COEF_CONST(0.0456435465), COEF_CONST(0.9999786019), COEF_CONST(0.0065449383),
- COEF_CONST(0.9999996424), COEF_CONST(0.0008181230) }, /* 960 */
- { COEF_CONST(0.0883883476), COEF_CONST(0.9996988177), COEF_CONST(0.0245412290),
- COEF_CONST(0.9999952912), COEF_CONST(0.0030679568) }, /* 256 */
- { COEF_CONST(0.0912870929), COEF_CONST(0.9996573329), COEF_CONST(0.0261769500),
- COEF_CONST(0.9999946356), COEF_CONST(0.0032724866) } /* 240 */
-#ifdef SSR_DEC
- ,{ COEF_CONST(0.062500000), COEF_CONST(0.999924702), COEF_CONST(0.012271538),
- COEF_CONST(0.999998823), COEF_CONST(0.00153398) }, /* 512 */
- { COEF_CONST(0.176776695), COEF_CONST(0.995184727), COEF_CONST(0.09801714),
- COEF_CONST(0.999924702), COEF_CONST(0.012271538) } /* 64 */
-#endif
-};
-#else
+#ifdef FIXED_POINT
real_t const_tab[][5] =
{
- { COEF_CONST(1), COEF_CONST(0.9999952938), COEF_CONST(0.0030679568),
- COEF_CONST(0.9999999265), COEF_CONST(0.0003834952) }, /* 2048 */
- { COEF_CONST(/* sqrt(1024/960) */ 1.03279556), COEF_CONST(0.9999946356), COEF_CONST(0.0032724866),
- COEF_CONST(0), COEF_CONST(0.0004090615) }, /* 1920 */
- { COEF_CONST(1), COEF_CONST(0.9999811649), COEF_CONST(0.0061358847),
- COEF_CONST(0.9999997020), COEF_CONST(0.0007669903) }, /* 1024 */
- { COEF_CONST(/* sqrt(512/480) */ 1.03279556), COEF_CONST(0.9999786019), COEF_CONST(0.0065449383),
- COEF_CONST(0.9999996424), COEF_CONST(0.0008181230) }, /* 960 */
- { COEF_CONST(1), COEF_CONST(0.9996988177), COEF_CONST(0.0245412290),
- COEF_CONST(0.9999952912), COEF_CONST(0.0030679568) }, /* 256 */
- { COEF_CONST(/* sqrt(256/240) */ 1.03279556), COEF_CONST(0.9996573329), COEF_CONST(0.0261769500),
- COEF_CONST(0.9999946356), COEF_CONST(0.0032724866) } /* 240 */
+ { /* 2048 */
+ COEF_CONST(1),
+ FRAC_CONST(0.99999529380957619),
+ FRAC_CONST(0.0030679567629659761),
+ FRAC_CONST(0.99999992646571789),
+ FRAC_CONST(0.00038349518757139556)
+ }, { /* 1920 */
+ COEF_CONST(/* sqrt(1024/960) */ 1.0327955589886444),
+ FRAC_CONST(0.99999464540169647),
+ FRAC_CONST(0.0032724865065266251),
+ FRAC_CONST(0.99999991633432805),
+ FRAC_CONST(0.00040906153202803459)
+ }, { /* 1024 */
+ COEF_CONST(1),
+ FRAC_CONST(0.99998117528260111),
+ FRAC_CONST(0.0061358846491544753),
+ FRAC_CONST(0.99999970586288223),
+ FRAC_CONST(0.00076699031874270449)
+ }, { /* 960 */
+ COEF_CONST(/* sqrt(512/480) */ 1.0327955589886444),
+ FRAC_CONST(0.99997858166412923),
+ FRAC_CONST(0.0065449379673518581),
+ FRAC_CONST(0.99999966533732598),
+ FRAC_CONST(0.00081812299560725323)
+ }, { /* 256 */
+ COEF_CONST(1),
+ FRAC_CONST(0.99969881869620425),
+ FRAC_CONST(0.024541228522912288),
+ FRAC_CONST(0.99999529380957619),
+ FRAC_CONST(0.0030679567629659761)
+ }, { /* 240 */
+ COEF_CONST(/* sqrt(256/240) */ 1.0327955589886444),
+ FRAC_CONST(0.99965732497555726),
+ FRAC_CONST(0.026176948307873149),
+ FRAC_CONST(0.99999464540169647),
+ FRAC_CONST(0.0032724865065266251)
+ }
#ifdef SSR_DEC
- ,{ COEF_CONST(0), COEF_CONST(0.999924702), COEF_CONST(0.012271538),
- COEF_CONST(0.999998823), COEF_CONST(0.00153398) }, /* 512 */
- { COEF_CONST(0), COEF_CONST(0.995184727), COEF_CONST(0.09801714),
- COEF_CONST(0.999924702), COEF_CONST(0.012271538) } /* 64 */
+ ,{ /* 512 */
+ COEF_CONST(1),
+ FRAC_CONST(0.9999247018391445),
+ FRAC_CONST(0.012271538285719925),
+ FRAC_CONST(0.99999882345170188),
+ FRAC_CONST(0.0015339801862847655)
+ }, { /* 64 */
+ COEF_CONST(1),
+ FRAC_CONST(0.99518472667219693),
+ FRAC_CONST(0.098017140329560604),
+ FRAC_CONST(0.9999247018391445),
+ FRAC_CONST(0.012271538285719925)
+ }
#endif
};
#endif
-uint8_t map_N_to_idx(uint16_t N)
+#ifdef FIXED_POINT
+static uint8_t map_N_to_idx(uint16_t N)
{
/* gives an index into const_tab above */
/* for normal AAC deocding (eg. no scalable profile) only */
@@ -131,21 +140,25 @@
}
return 0;
}
+#endif
mdct_info *faad_mdct_init(uint16_t N)
{
- uint16_t k, N_idx;
+ uint16_t k;
+#ifdef FIXED_POINT
+ uint16_t N_idx;
real_t cangle, sangle, c, s, cold;
+#endif
real_t scale;
- mdct_info *mdct = (mdct_info*)malloc(sizeof(mdct_info));
+ mdct_info *mdct = (mdct_info*)faad_malloc(sizeof(mdct_info));
assert(N % 8 == 0);
mdct->N = N;
- mdct->sincos = (complex_t*)malloc(N/4*sizeof(complex_t));
- mdct->Z1 = (complex_t*)malloc(N/4*sizeof(complex_t));
+ mdct->sincos = (complex_t*)faad_malloc(N/4*sizeof(complex_t));
+#ifdef FIXED_POINT
N_idx = map_N_to_idx(N);
scale = const_tab[N_idx][0];
@@ -153,29 +166,37 @@
sangle = const_tab[N_idx][2];
c = const_tab[N_idx][3];
s = const_tab[N_idx][4];
+#else
+ scale = (real_t)sqrt(2.0 / (real_t)N);
+#endif
/* (co)sine table build using recurrence relations */
/* this can also be done using static table lookup or */
/* some form of interpolation */
for (k = 0; k < N/4; k++)
{
-#if 1
- RE(mdct->sincos[k]) = -1*MUL_C_C(c,scale);
- IM(mdct->sincos[k]) = -1*MUL_C_C(s,scale);
+#ifdef FIXED_POINT
+ RE(mdct->sincos[k]) = c; //MUL_C_C(c,scale);
+ IM(mdct->sincos[k]) = s; //MUL_C_C(s,scale);
cold = c;
- c = MUL_C_C(c,cangle) - MUL_C_C(s,sangle);
- s = MUL_C_C(s,cangle) + MUL_C_C(cold,sangle);
+ c = MUL_F(c,cangle) - MUL_F(s,sangle);
+ s = MUL_F(s,cangle) + MUL_F(cold,sangle);
#else
/* no recurrence, just sines */
- RE(mdct->sincos[k]) = -scale*cos(2.0*M_PI*(k+1./8.) / (float)N);
- IM(mdct->sincos[k]) = -scale*sin(2.0*M_PI*(k+1./8.) / (float)N);
+ RE(mdct->sincos[k]) = scale*(real_t)(cos(2.0*M_PI*(k+1./8.) / (real_t)N));
+ IM(mdct->sincos[k]) = scale*(real_t)(sin(2.0*M_PI*(k+1./8.) / (real_t)N));
#endif
}
/* initialise fft */
mdct->cfft = cffti(N/4);
+#ifdef PROFILE
+ mdct->cycles = 0;
+ mdct->fft_cycles = 0;
+#endif
+
return mdct;
}
@@ -183,12 +204,16 @@
{
if (mdct != NULL)
{
+#ifdef PROFILE
+ printf("MDCT[%.4d]: %I64d cycles\n", mdct->N, mdct->cycles);
+ printf("CFFT[%.4d]: %I64d cycles\n", mdct->N/4, mdct->fft_cycles);
+#endif
+
cfftu(mdct->cfft);
- if (mdct->Z1) free(mdct->Z1);
- if (mdct->sincos) free(mdct->sincos);
+ if (mdct->sincos) faad_free(mdct->sincos);
- free(mdct);
+ faad_free(mdct);
}
}
@@ -197,7 +222,7 @@
uint16_t k;
complex_t x;
- complex_t *Z1 = mdct->Z1;
+ ALIGN complex_t Z1[512];
complex_t *sincos = mdct->sincos;
uint16_t N = mdct->N;
@@ -205,47 +230,239 @@
uint16_t N4 = N >> 2;
uint16_t N8 = N >> 3;
+#ifdef PROFILE
+ int64_t count1, count2 = faad_get_ts();
+#endif
+
/* pre-IFFT complex multiplication */
for (k = 0; k < N4; k++)
{
- RE(Z1[k]) = MUL_R_C(X_in[N2 - 1 - 2*k], RE(sincos[k])) - MUL_R_C(X_in[2*k], IM(sincos[k]));
- IM(Z1[k]) = MUL_R_C(X_in[2*k], RE(sincos[k])) + MUL_R_C(X_in[N2 - 1 - 2*k], IM(sincos[k]));
+ ComplexMult(&IM(Z1[k]), &RE(Z1[k]),
+ X_in[2*k], X_in[N2 - 1 - 2*k], RE(sincos[k]), IM(sincos[k]));
}
+#ifdef PROFILE
+ count1 = faad_get_ts();
+#endif
+
/* complex IFFT, any non-scaling FFT can be used here */
cfftb(mdct->cfft, Z1);
+#ifdef PROFILE
+ count1 = faad_get_ts() - count1;
+#endif
+
/* post-IFFT complex multiplication */
for (k = 0; k < N4; k++)
{
RE(x) = RE(Z1[k]);
IM(x) = IM(Z1[k]);
-
- RE(Z1[k]) = MUL_R_C(RE(x), RE(sincos[k])) - MUL_R_C(IM(x), IM(sincos[k]));
- IM(Z1[k]) = MUL_R_C(IM(x), RE(sincos[k])) + MUL_R_C(RE(x), IM(sincos[k]));
+ ComplexMult(&IM(Z1[k]), &RE(Z1[k]),
+ IM(x), RE(x), RE(sincos[k]), IM(sincos[k]));
}
/* reordering */
- for (k = 0; k < N8; k++)
+ for (k = 0; k < N8; k+=2)
{
X_out[ 2*k] = IM(Z1[N8 + k]);
+ X_out[ 2 + 2*k] = IM(Z1[N8 + 1 + k]);
+
X_out[ 1 + 2*k] = -RE(Z1[N8 - 1 - k]);
+ X_out[ 3 + 2*k] = -RE(Z1[N8 - 2 - k]);
+
X_out[N4 + 2*k] = RE(Z1[ k]);
+ X_out[N4 + + 2 + 2*k] = RE(Z1[ 1 + k]);
+
X_out[N4 + 1 + 2*k] = -IM(Z1[N4 - 1 - k]);
+ X_out[N4 + 3 + 2*k] = -IM(Z1[N4 - 2 - k]);
+
X_out[N2 + 2*k] = RE(Z1[N8 + k]);
+ X_out[N2 + + 2 + 2*k] = RE(Z1[N8 + 1 + k]);
+
X_out[N2 + 1 + 2*k] = -IM(Z1[N8 - 1 - k]);
+ X_out[N2 + 3 + 2*k] = -IM(Z1[N8 - 2 - k]);
+
X_out[N2 + N4 + 2*k] = -IM(Z1[ k]);
+ X_out[N2 + N4 + 2 + 2*k] = -IM(Z1[ 1 + k]);
+
X_out[N2 + N4 + 1 + 2*k] = RE(Z1[N4 - 1 - k]);
+ X_out[N2 + N4 + 3 + 2*k] = RE(Z1[N4 - 2 - k]);
}
+
+#ifdef PROFILE
+ count2 = faad_get_ts() - count2;
+ mdct->fft_cycles += count1;
+ mdct->cycles += (count2 - count1);
+#endif
}
+#ifdef USE_SSE
+void faad_imdct_sse(mdct_info *mdct, real_t *X_in, real_t *X_out)
+{
+ uint16_t k;
+
+ ALIGN complex_t Z1[512];
+ complex_t *sincos = mdct->sincos;
+
+ uint16_t N = mdct->N;
+ uint16_t N2 = N >> 1;
+ uint16_t N4 = N >> 2;
+ uint16_t N8 = N >> 3;
+
+#ifdef PROFILE
+ int64_t count1, count2 = faad_get_ts();
+#endif
+
+ /* pre-IFFT complex multiplication */
+ for (k = 0; k < N4; k+=4)
+ {
+ __m128 m12, m13, m14, m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11;
+ __m128 n12, n13, n14, n0, n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11;
+ n12 = _mm_load_ps(&X_in[N2 - 2*k - 8]);
+ m12 = _mm_load_ps(&X_in[N2 - 2*k - 4]);
+ m13 = _mm_load_ps(&X_in[2*k]);
+ n13 = _mm_load_ps(&X_in[2*k + 4]);
+ m1 = _mm_load_ps(&RE(sincos[k]));
+ n1 = _mm_load_ps(&RE(sincos[k+2]));
+
+ m0 = _mm_shuffle_ps(m12, m13, _MM_SHUFFLE(2,0,1,3));
+ m2 = _mm_shuffle_ps(m1, m1, _MM_SHUFFLE(2,3,0,1));
+ m14 = _mm_shuffle_ps(m0, m0, _MM_SHUFFLE(3,1,2,0));
+ n0 = _mm_shuffle_ps(n12, n13, _MM_SHUFFLE(2,0,1,3));
+ n2 = _mm_shuffle_ps(n1, n1, _MM_SHUFFLE(2,3,0,1));
+ n14 = _mm_shuffle_ps(n0, n0, _MM_SHUFFLE(3,1,2,0));
+
+ m3 = _mm_mul_ps(m14, m1);
+ n3 = _mm_mul_ps(n14, n1);
+ m4 = _mm_mul_ps(m14, m2);
+ n4 = _mm_mul_ps(n14, n2);
+
+ m5 = _mm_shuffle_ps(m3, m4, _MM_SHUFFLE(2,0,2,0));
+ n5 = _mm_shuffle_ps(n3, n4, _MM_SHUFFLE(2,0,2,0));
+ m6 = _mm_shuffle_ps(m3, m4, _MM_SHUFFLE(3,1,3,1));
+ n6 = _mm_shuffle_ps(n3, n4, _MM_SHUFFLE(3,1,3,1));
+
+ m7 = _mm_add_ps(m5, m6);
+ n7 = _mm_add_ps(n5, n6);
+ m8 = _mm_sub_ps(m5, m6);
+ n8 = _mm_sub_ps(n5, n6);
+
+ m9 = _mm_shuffle_ps(m7, m7, _MM_SHUFFLE(3,2,3,2));
+ n9 = _mm_shuffle_ps(n7, n7, _MM_SHUFFLE(3,2,3,2));
+ m10 = _mm_shuffle_ps(m8, m8, _MM_SHUFFLE(1,0,1,0));
+ n10 = _mm_shuffle_ps(n8, n8, _MM_SHUFFLE(1,0,1,0));
+
+ m11 = _mm_unpacklo_ps(m10, m9);
+ n11 = _mm_unpacklo_ps(n10, n9);
+
+ _mm_store_ps(&RE(Z1[k]), m11);
+ _mm_store_ps(&RE(Z1[k+2]), n11);
+ }
+
+#ifdef PROFILE
+ count1 = faad_get_ts();
+#endif
+
+ /* complex IFFT, any non-scaling FFT can be used here */
+ cfftb_sse(mdct->cfft, Z1);
+
+#ifdef PROFILE
+ count1 = faad_get_ts() - count1;
+#endif
+
+ /* post-IFFT complex multiplication */
+ for (k = 0; k < N4; k+=4)
+ {
+ __m128 m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11;
+ __m128 n0, n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11;
+ m0 = _mm_load_ps(&RE(Z1[k]));
+ n0 = _mm_load_ps(&RE(Z1[k+2]));
+ m1 = _mm_load_ps(&RE(sincos[k]));
+ n1 = _mm_load_ps(&RE(sincos[k+2]));
+
+ m2 = _mm_shuffle_ps(m1, m1, _MM_SHUFFLE(2,3,0,1));
+ n2 = _mm_shuffle_ps(n1, n1, _MM_SHUFFLE(2,3,0,1));
+
+ m3 = _mm_mul_ps(m0, m1);
+ n3 = _mm_mul_ps(n0, n1);
+ m4 = _mm_mul_ps(m0, m2);
+ n4 = _mm_mul_ps(n0, n2);
+
+ m5 = _mm_shuffle_ps(m3, m4, _MM_SHUFFLE(2,0,2,0));
+ n5 = _mm_shuffle_ps(n3, n4, _MM_SHUFFLE(2,0,2,0));
+ m6 = _mm_shuffle_ps(m3, m4, _MM_SHUFFLE(3,1,3,1));
+ n6 = _mm_shuffle_ps(n3, n4, _MM_SHUFFLE(3,1,3,1));
+
+ m7 = _mm_add_ps(m5, m6);
+ n7 = _mm_add_ps(n5, n6);
+ m8 = _mm_sub_ps(m5, m6);
+ n8 = _mm_sub_ps(n5, n6);
+
+ m9 = _mm_shuffle_ps(m7, m7, _MM_SHUFFLE(3,2,3,2));
+ n9 = _mm_shuffle_ps(n7, n7, _MM_SHUFFLE(3,2,3,2));
+ m10 = _mm_shuffle_ps(m8, m8, _MM_SHUFFLE(1,0,1,0));
+ n10 = _mm_shuffle_ps(n8, n8, _MM_SHUFFLE(1,0,1,0));
+
+ m11 = _mm_unpacklo_ps(m10, m9);
+ n11 = _mm_unpacklo_ps(n10, n9);
+
+ _mm_store_ps(&RE(Z1[k]), m11);
+ _mm_store_ps(&RE(Z1[k+2]), n11);
+ }
+
+ /* reordering */
+ for (k = 0; k < N8; k+=2)
+ {
+ __m128 m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m13;
+ __m128 n4, n5, n6, n7, n8, n9;
+ __m128 neg1 = _mm_set_ps(-1.0, 1.0, -1.0, 1.0);
+ __m128 neg2 = _mm_set_ps(-1.0, -1.0, -1.0, -1.0);
+
+ m0 = _mm_load_ps(&RE(Z1[k]));
+ m1 = _mm_load_ps(&RE(Z1[N8 - 2 - k]));
+ m2 = _mm_load_ps(&RE(Z1[N8 + k]));
+ m3 = _mm_load_ps(&RE(Z1[N4 - 2 - k]));
+
+ m10 = _mm_mul_ps(m0, neg1);
+ m11 = _mm_mul_ps(m1, neg2);
+ m13 = _mm_mul_ps(m3, neg1);
+
+ m5 = _mm_shuffle_ps(m2, m2, _MM_SHUFFLE(3,1,2,0));
+ n4 = _mm_shuffle_ps(m10, m10, _MM_SHUFFLE(3,1,2,0));
+ m4 = _mm_shuffle_ps(m11, m11, _MM_SHUFFLE(3,1,2,0));
+ n5 = _mm_shuffle_ps(m13, m13, _MM_SHUFFLE(3,1,2,0));
+
+ m6 = _mm_shuffle_ps(m4, m5, _MM_SHUFFLE(3,2,1,0));
+ n6 = _mm_shuffle_ps(n4, n5, _MM_SHUFFLE(3,2,1,0));
+ m7 = _mm_shuffle_ps(m5, m4, _MM_SHUFFLE(3,2,1,0));
+ n7 = _mm_shuffle_ps(n5, n4, _MM_SHUFFLE(3,2,1,0));
+
+ m8 = _mm_shuffle_ps(m6, m6, _MM_SHUFFLE(0,3,1,2));
+ n8 = _mm_shuffle_ps(n6, n6, _MM_SHUFFLE(2,1,3,0));
+ m9 = _mm_shuffle_ps(m7, m7, _MM_SHUFFLE(2,1,3,0));
+ n9 = _mm_shuffle_ps(n7, n7, _MM_SHUFFLE(0,3,1,2));
+
+ _mm_store_ps(&X_out[2*k], m8);
+ _mm_store_ps(&X_out[N4 + 2*k], n8);
+ _mm_store_ps(&X_out[N2 + 2*k], m9);
+ _mm_store_ps(&X_out[N2 + N4 + 2*k], n9);
+ }
+
+#ifdef PROFILE
+ count2 = faad_get_ts() - count2;
+ mdct->fft_cycles += count1;
+ mdct->cycles += (count2 - count1);
+#endif
+}
+#endif
+
#ifdef LTP_DEC
void faad_mdct(mdct_info *mdct, real_t *X_in, real_t *X_out)
{
uint16_t k;
complex_t x;
- complex_t *Z1 = mdct->Z1;
+ ALIGN complex_t Z1[512];
complex_t *sincos = mdct->sincos;
uint16_t N = mdct->N;
@@ -253,7 +470,11 @@
uint16_t N4 = N >> 2;
uint16_t N8 = N >> 3;
+#ifndef FIXED_POINT
real_t scale = REAL_CONST(N);
+#else
+ real_t scale = REAL_CONST(4.0/N);
+#endif
/* pre-FFT complex multiplication */
for (k = 0; k < N8; k++)
@@ -262,14 +483,20 @@
RE(x) = X_in[N - N4 - 1 - n] + X_in[N - N4 + n];
IM(x) = X_in[ N4 + n] - X_in[ N4 - 1 - n];
- RE(Z1[k]) = -MUL_R_C(RE(x), RE(sincos[k])) - MUL_R_C(IM(x), IM(sincos[k]));
- IM(Z1[k]) = -MUL_R_C(IM(x), RE(sincos[k])) + MUL_R_C(RE(x), IM(sincos[k]));
+ ComplexMult(&RE(Z1[k]), &IM(Z1[k]),
+ RE(x), IM(x), RE(sincos[k]), IM(sincos[k]));
+
+ RE(Z1[k]) = MUL_R(RE(Z1[k]), scale);
+ IM(Z1[k]) = MUL_R(IM(Z1[k]), scale);
RE(x) = X_in[N2 - 1 - n] - X_in[ n];
IM(x) = X_in[N2 + n] + X_in[N - 1 - n];
- RE(Z1[k + N8]) = -MUL_R_C(RE(x), RE(sincos[k + N8])) - MUL_R_C(IM(x), IM(sincos[k + N8]));
- IM(Z1[k + N8]) = -MUL_R_C(IM(x), RE(sincos[k + N8])) + MUL_R_C(RE(x), IM(sincos[k + N8]));
+ ComplexMult(&RE(Z1[k + N8]), &IM(Z1[k + N8]),
+ RE(x), IM(x), RE(sincos[k + N8]), IM(sincos[k + N8]));
+
+ RE(Z1[k + N8]) = MUL_R(RE(Z1[k + N8]), scale);
+ IM(Z1[k + N8]) = MUL_R(IM(Z1[k + N8]), scale);
}
/* complex FFT, any non-scaling FFT can be used here */
@@ -279,13 +506,13 @@
for (k = 0; k < N4; k++)
{
uint16_t n = k << 1;
- RE(x) = MUL(MUL_R_C(RE(Z1[k]), RE(sincos[k])) + MUL_R_C(IM(Z1[k]), IM(sincos[k])), scale);
- IM(x) = MUL(MUL_R_C(IM(Z1[k]), RE(sincos[k])) - MUL_R_C(RE(Z1[k]), IM(sincos[k])), scale);
+ ComplexMult(&RE(x), &IM(x),
+ RE(Z1[k]), IM(Z1[k]), RE(sincos[k]), IM(sincos[k]));
- X_out[ n] = RE(x);
- X_out[N2 - 1 - n] = -IM(x);
- X_out[N2 + n] = IM(x);
- X_out[N - 1 - n] = -RE(x);
+ X_out[ n] = -RE(x);
+ X_out[N2 - 1 - n] = IM(x);
+ X_out[N2 + n] = -IM(x);
+ X_out[N - 1 - n] = RE(x);
}
}
#endif
Index: mdct.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/mdct.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- mdct.h 3 Oct 2003 22:22:27 -0000 1.2
+++ mdct.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -36,6 +36,9 @@
mdct_info *faad_mdct_init(uint16_t N);
void faad_mdct_end(mdct_info *mdct);
void faad_imdct(mdct_info *mdct, real_t *X_in, real_t *X_out);
+#ifdef USE_SSE
+void faad_imdct_sse(mdct_info *mdct, real_t *X_in, real_t *X_out);
+#endif
void faad_mdct(mdct_info *mdct, real_t *X_in, real_t *X_out);
Index: mp4.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/mp4.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- mp4.c 3 Oct 2003 22:22:27 -0000 1.2
+++ mp4.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -58,7 +58,11 @@
#else
0, /* 5 SBR */
#endif
+#ifdef SCALABLE_DEC
+ 1, /* 6 AAC Scalable */
+#else
0, /* 6 AAC Scalable */
+#endif
0, /* 7 TwinVQ */
0, /* 8 CELP */
0, /* 9 HVXC */
@@ -79,7 +83,11 @@
#else
0, /* 19 ER AAC LTP */
#endif
+#ifdef SCALABLE_DEC
+ 1, /* 20 ER AAC scalable */
+#else
0, /* 20 ER AAC scalable */
+#endif
0, /* 21 ER TwinVQ */
0, /* 22 ER BSAC */
#ifdef LD_DEC
Index: mp4.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/mp4.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- mp4.h 3 Oct 2003 22:22:27 -0000 1.2
+++ mp4.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: ms.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ms.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ms.c 3 Oct 2003 22:22:27 -0000 1.2
+++ ms.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -49,7 +49,7 @@
{
for (b = 0; b < ics->window_group_length[g]; b++)
{
- for(sfb = 0; sfb < ics->max_sfb; sfb++)
+ for (sfb = 0; sfb < ics->max_sfb; sfb++)
{
/* If intensity stereo coding or noise substitution is on
for a particular scalefactor band, no M/S stereo decoding
Index: ms.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ms.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ms.h 3 Oct 2003 22:22:27 -0000 1.2
+++ ms.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: output.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/output.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- output.c 3 Oct 2003 22:22:27 -0000 1.2
+++ output.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -33,189 +33,366 @@
#ifndef FIXED_POINT
-#include "dither.h"
-
-
-#define ftol(A,B) {tmp = *(int32_t*) & A - 0x4B7F8000; \
- B = (int16_t)((tmp==(int16_t)tmp) ? tmp : (tmp>>31)^0x7FFF);}
-
-#define ROUND(x) ((x >= 0) ? (int32_t)floor((x) + 0.5) : (int32_t)ceil((x) + 0.5))
-
-#define ROUND32(x) ROUND(x)
-
-#define ROUND64(x) (doubletmp = (x) + Dither.Add + (int64_t)0x001FFFFD80000000L, *(int64_t*)(&doubletmp) - (int64_t)0x433FFFFD80000000L)
#define FLOAT_SCALE (1.0f/(1<<15))
-dither_t Dither;
-double doubletmp;
+#define DM_MUL REAL_CONST(0.3203772410170407) // 1/(1+sqrt(2) + 1/sqrt(2))
+#define RSQRT2 REAL_CONST(0.7071067811865475244) // 1/sqrt(2)
-#define DM_MUL ((real_t)1.0/((real_t)1.0+(real_t)sqrt(2.0)))
static INLINE real_t get_sample(real_t **input, uint8_t channel, uint16_t sample,
- uint8_t downMatrix, uint8_t *internal_channel)
+ uint8_t down_matrix, uint8_t *internal_channel)
{
- if (downMatrix)
+ if (!down_matrix)
+ return input[internal_channel[channel]][sample];
+
+ if (channel == 0)
{
- if (channel == 0)
- {
- return DM_MUL * (input[internal_channel[1]][sample] +
- input[internal_channel[0]][sample]/(real_t)sqrt(2.) +
- input[internal_channel[3]][sample]/(real_t)sqrt(2.));
- } else {
- return DM_MUL * (input[internal_channel[2]][sample] +
- input[internal_channel[0]][sample]/(real_t)sqrt(2.) +
- input[internal_channel[4]][sample]/(real_t)sqrt(2.));
- }
+ return DM_MUL * (input[internal_channel[1]][sample] +
+ input[internal_channel[0]][sample] * RSQRT2 +
+ input[internal_channel[3]][sample] * RSQRT2);
} else {
- return input[internal_channel[channel]][sample];
+ return DM_MUL * (input[internal_channel[2]][sample] +
+ input[internal_channel[0]][sample] * RSQRT2 +
+ input[internal_channel[4]][sample] * RSQRT2);
}
}
-void* output_to_PCM(faacDecHandle hDecoder,
- real_t **input, void *sample_buffer, uint8_t channels,
- uint16_t frame_len, uint8_t format)
-{
- uint8_t ch;
- uint16_t i, j = 0;
- uint8_t internal_channel;
+#ifndef HAS_LRINTF
+#define CLIP(sample, max, min) \
+if (sample >= 0.0f) \
+{ \
+ sample += 0.5f; \
+ if (sample >= max) \
+ sample = max; \
+} else { \
+ sample += -0.5f; \
+ if (sample <= min) \
+ sample = min; \
+}
+#else
+#define CLIP(sample, max, min) \
+if (sample >= 0.0f) \
+{ \
+ if (sample >= max) \
+ sample = max; \
+} else { \
+ if (sample <= min) \
+ sample = min; \
+}
+#endif
- int16_t *short_sample_buffer = (int16_t*)sample_buffer;
- int32_t *int_sample_buffer = (int32_t*)sample_buffer;
- float32_t *float_sample_buffer = (float32_t*)sample_buffer;
- double *double_sample_buffer = (double*)sample_buffer;
+#define CONV(a,b) ((a<<1)|(b&0x1))
- /* Copy output to a standard PCM buffer */
- for (ch = 0; ch < channels; ch++)
+static void to_PCM_16bit(faacDecHandle hDecoder, real_t **input,
+ uint8_t channels, uint16_t frame_len,
+ int16_t **sample_buffer)
+{
+ uint8_t ch, ch1;
+ uint16_t i;
+
+ switch (CONV(channels,hDecoder->downMatrix))
{
- internal_channel = hDecoder->internal_channel[ch];
+ case CONV(1,0):
+ case CONV(1,1):
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp = input[hDecoder->internal_channel[0]][i];
- switch (format)
+ CLIP(inp, 32767.0f, -32768.0f);
+
+ (*sample_buffer)[i] = (int16_t)lrintf(inp);
+ }
+ break;
+ case CONV(2,0):
+ ch = hDecoder->internal_channel[0];
+ ch1 = hDecoder->internal_channel[1];
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp0 = input[ch ][i];
+ real_t inp1 = input[ch1][i];
+
+ CLIP(inp0, 32767.0f, -32768.0f);
+ CLIP(inp1, 32767.0f, -32768.0f);
+
+ (*sample_buffer)[(i*2)+0] = (int16_t)lrintf(inp0);
+ (*sample_buffer)[(i*2)+1] = (int16_t)lrintf(inp1);
+ }
+ break;
+ default:
+ for (ch = 0; ch < channels; ch++)
{
- case FAAD_FMT_16BIT:
for(i = 0; i < frame_len; i++)
{
- int32_t tmp;
- real_t ftemp;
- //real_t inp = input[internal_channel][i];
real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- ftemp = inp + 0xff8000;
- ftol(ftemp, short_sample_buffer[(i*channels)+ch]);
- }
- break;
- case FAAD_FMT_16BIT_DITHER:
- for(i = 0; i < frame_len; i++, j++)
- {
- //real_t inp = input[internal_channel][i];
- real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- double Sum = inp * 65535.f;
- int64_t val;
- if(j > 31)
- j = 0;
- val = dither_output(1, 0, j, Sum, ch) / 65536;
- if (val > (1<<15)-1)
- val = (1<<15)-1;
- else if (val < -(1<<15))
- val = -(1<<15);
- short_sample_buffer[(i*channels)+ch] = (int16_t)val;
- }
- break;
- case FAAD_FMT_16BIT_L_SHAPE:
- case FAAD_FMT_16BIT_M_SHAPE:
- case FAAD_FMT_16BIT_H_SHAPE:
- for(i = 0; i < frame_len; i++, j++)
- {
- //real_t inp = input[internal_channel][i];
- real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- double Sum = inp * 65535.f;
- int64_t val;
- if(j > 31)
- j = 0;
- val = dither_output(1, 1, j, Sum, ch) / 65536;
- if (val > (1<<15)-1)
- val = (1<<15)-1;
- else if (val < -(1<<15))
- val = -(1<<15);
- short_sample_buffer[(i*channels)+ch] = (int16_t)val;
+ CLIP(inp, 32767.0f, -32768.0f);
+
+ (*sample_buffer)[(i*channels)+ch] = (int16_t)lrintf(inp);
}
- break;
- case FAAD_FMT_24BIT:
+ }
+ break;
+ }
+}
+
+static void to_PCM_24bit(faacDecHandle hDecoder, real_t **input,
+ uint8_t channels, uint16_t frame_len,
+ int32_t **sample_buffer)
+{
+ uint8_t ch, ch1;
+ uint16_t i;
+
+ switch (CONV(channels,hDecoder->downMatrix))
+ {
+ case CONV(1,0):
+ case CONV(1,1):
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp = input[hDecoder->internal_channel[0]][i];
+
+ inp *= 256.0f;
+ CLIP(inp, 8388607.0f, -8388608.0f);
+
+ (*sample_buffer)[i] = (int32_t)lrintf(inp);
+ }
+ break;
+ case CONV(2,0):
+ ch = hDecoder->internal_channel[0];
+ ch1 = hDecoder->internal_channel[1];
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp0 = input[ch ][i];
+ real_t inp1 = input[ch1][i];
+
+ inp0 *= 256.0f;
+ inp1 *= 256.0f;
+ CLIP(inp0, 8388607.0f, -8388608.0f);
+ CLIP(inp1, 8388607.0f, -8388608.0f);
+
+ (*sample_buffer)[(i*2)+0] = (int32_t)lrintf(inp0);
+ (*sample_buffer)[(i*2)+1] = (int32_t)lrintf(inp1);
+ }
+ break;
+ default:
+ for (ch = 0; ch < channels; ch++)
+ {
for(i = 0; i < frame_len; i++)
{
- //real_t inp = input[internal_channel][i];
real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- if (inp > (1<<15)-1)
- inp = (1<<15)-1;
- else if (inp < -(1<<15))
- inp = -(1<<15);
- int_sample_buffer[(i*channels)+ch] = ROUND(inp*(1<<8));
+
+ inp *= 256.0f;
+ CLIP(inp, 8388607.0f, -8388608.0f);
+
+ (*sample_buffer)[(i*channels)+ch] = (int32_t)lrintf(inp);
}
- break;
- case FAAD_FMT_32BIT:
+ }
+ break;
+ }
+}
+
+static void to_PCM_32bit(faacDecHandle hDecoder, real_t **input,
+ uint8_t channels, uint16_t frame_len,
+ int32_t **sample_buffer)
+{
+ uint8_t ch, ch1;
+ uint16_t i;
+
+ switch (CONV(channels,hDecoder->downMatrix))
+ {
+ case CONV(1,0):
+ case CONV(1,1):
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp = input[hDecoder->internal_channel[0]][i];
+
+ inp *= 65536.0f;
+ CLIP(inp, 2147483647.0f, -2147483648.0f);
+
+ (*sample_buffer)[i] = (int32_t)lrintf(inp);
+ }
+ break;
+ case CONV(2,0):
+ ch = hDecoder->internal_channel[0];
+ ch1 = hDecoder->internal_channel[1];
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp0 = input[ch ][i];
+ real_t inp1 = input[ch1][i];
+
+ inp0 *= 65536.0f;
+ inp1 *= 65536.0f;
+ CLIP(inp0, 2147483647.0f, -2147483648.0f);
+ CLIP(inp1, 2147483647.0f, -2147483648.0f);
+
+ (*sample_buffer)[(i*2)+0] = (int32_t)lrintf(inp0);
+ (*sample_buffer)[(i*2)+1] = (int32_t)lrintf(inp1);
+ }
+ break;
+ default:
+ for (ch = 0; ch < channels; ch++)
+ {
for(i = 0; i < frame_len; i++)
{
- //real_t inp = input[internal_channel][i];
real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- if (inp > (1<<15)-1)
- inp = (1<<15)-1;
- else if (inp < -(1<<15))
- inp = -(1<<15);
- int_sample_buffer[(i*channels)+ch] = ROUND32(inp*(1<<16));
+
+ inp *= 65536.0f;
+ CLIP(inp, 2147483647.0f, -2147483648.0f);
+
+ (*sample_buffer)[(i*channels)+ch] = (int32_t)lrintf(inp);
}
- break;
- case FAAD_FMT_FLOAT:
+ }
+ break;
+ }
+}
+
+static void to_PCM_float(faacDecHandle hDecoder, real_t **input,
+ uint8_t channels, uint16_t frame_len,
+ float32_t **sample_buffer)
+{
+ uint8_t ch, ch1;
+ uint16_t i;
+
+ switch (CONV(channels,hDecoder->downMatrix))
+ {
+ case CONV(1,0):
+ case CONV(1,1):
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp = input[hDecoder->internal_channel[0]][i];
+ (*sample_buffer)[i] = inp*FLOAT_SCALE;
+ }
+ break;
+ case CONV(2,0):
+ ch = hDecoder->internal_channel[0];
+ ch1 = hDecoder->internal_channel[1];
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp0 = input[ch ][i];
+ real_t inp1 = input[ch1][i];
+ (*sample_buffer)[(i*2)+0] = inp0*FLOAT_SCALE;
+ (*sample_buffer)[(i*2)+1] = inp1*FLOAT_SCALE;
+ }
+ break;
+ default:
+ for (ch = 0; ch < channels; ch++)
+ {
for(i = 0; i < frame_len; i++)
{
- //real_t inp = input[internal_channel][i];
real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- float_sample_buffer[(i*channels)+ch] = inp*FLOAT_SCALE;
+ (*sample_buffer)[(i*channels)+ch] = inp*FLOAT_SCALE;
}
- break;
- case FAAD_FMT_DOUBLE:
+ }
+ break;
+ }
+}
+
+static void to_PCM_double(faacDecHandle hDecoder, real_t **input,
+ uint8_t channels, uint16_t frame_len,
+ double **sample_buffer)
+{
+ uint8_t ch, ch1;
+ uint16_t i;
+
+ switch (CONV(channels,hDecoder->downMatrix))
+ {
+ case CONV(1,0):
+ case CONV(1,1):
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp = input[hDecoder->internal_channel[0]][i];
+ (*sample_buffer)[i] = (double)inp*FLOAT_SCALE;
+ }
+ break;
+ case CONV(2,0):
+ ch = hDecoder->internal_channel[0];
+ ch1 = hDecoder->internal_channel[1];
+ for(i = 0; i < frame_len; i++)
+ {
+ real_t inp0 = input[ch ][i];
+ real_t inp1 = input[ch1][i];
+ (*sample_buffer)[(i*2)+0] = (double)inp0*FLOAT_SCALE;
+ (*sample_buffer)[(i*2)+1] = (double)inp1*FLOAT_SCALE;
+ }
+ break;
+ default:
+ for (ch = 0; ch < channels; ch++)
+ {
for(i = 0; i < frame_len; i++)
{
- //real_t inp = input[internal_channel][i];
real_t inp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
- double_sample_buffer[(i*channels)+ch] = (double)inp*FLOAT_SCALE;
+ (*sample_buffer)[(i*channels)+ch] = (double)inp*FLOAT_SCALE;
}
- break;
}
+ break;
}
+}
+
+void *output_to_PCM(faacDecHandle hDecoder,
+ real_t **input, void *sample_buffer, uint8_t channels,
+ uint16_t frame_len, uint8_t format)
+{
+ int16_t *short_sample_buffer = (int16_t*)sample_buffer;
+ int32_t *int_sample_buffer = (int32_t*)sample_buffer;
+ float32_t *float_sample_buffer = (float32_t*)sample_buffer;
+ double *double_sample_buffer = (double*)sample_buffer;
+
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
+
+ /* Copy output to a standard PCM buffer */
+ switch (format)
+ {
+ case FAAD_FMT_16BIT:
+ to_PCM_16bit(hDecoder, input, channels, frame_len, &short_sample_buffer);
+ break;
+ case FAAD_FMT_24BIT:
+ to_PCM_24bit(hDecoder, input, channels, frame_len, &int_sample_buffer);
+ break;
+ case FAAD_FMT_32BIT:
+ to_PCM_32bit(hDecoder, input, channels, frame_len, &int_sample_buffer);
+ break;
+ case FAAD_FMT_FLOAT:
+ to_PCM_float(hDecoder, input, channels, frame_len, &float_sample_buffer);
+ break;
+ case FAAD_FMT_DOUBLE:
+ to_PCM_double(hDecoder, input, channels, frame_len, &double_sample_buffer);
+ break;
+ }
+
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ hDecoder->output_cycles += count;
+#endif
return sample_buffer;
}
+#else
+
+#define DM_MUL FRAC_CONST(0.3203772410170407) // 1/(1+sqrt(2) + 1/sqrt(2))
+#define RSQRT2 FRAC_CONST(0.7071067811865475244) // 1/sqrt(2)
-/* Dither output */
-static int64_t dither_output(uint8_t dithering, uint8_t shapingtype, uint16_t i, double Sum, uint8_t k)
+static INLINE real_t get_sample(real_t **input, uint8_t channel, uint16_t sample,
+ uint8_t down_matrix, uint8_t *internal_channel)
{
- double Sum2;
- int64_t val;
- if(dithering)
- {
- if(!shapingtype)
- {
- double tmp = Random_Equi(Dither.Dither);
- Sum2 = tmp - (double)Dither.LastRandomNumber[k];
- Dither.LastRandomNumber[k] = (int32_t)tmp;
- Sum2 = Sum += Sum2;
- val = ROUND64(Sum2)&Dither.Mask;
- } else {
- Sum2 = Random_Triangular(Dither.Dither) - scalar16(Dither.DitherHistory[k], Dither.FilterCoeff + i);
- Sum += Dither.DitherHistory[k][(-1-i)&15] = (float32_t)Sum2;
- Sum2 = Sum + scalar16(Dither.ErrorHistory[k], Dither.FilterCoeff + i );
- val = ROUND64(Sum2)&Dither.Mask;
- Dither.ErrorHistory[k][(-1-i)&15] = (float)(Sum - val);
- }
- return val;
+ if (!down_matrix)
+ return input[internal_channel[channel]][sample];
+
+ if (channel == 0)
+ {
+ real_t C = MUL_F(input[internal_channel[0]][sample], RSQRT2);
+ real_t L_S = MUL_F(input[internal_channel[3]][sample], RSQRT2);
+ real_t cum = input[internal_channel[1]][sample] + C + L_S;
+ return MUL_F(cum, DM_MUL);
+ } else {
+ real_t C = MUL_F(input[internal_channel[0]][sample], RSQRT2);
+ real_t R_S = MUL_F(input[internal_channel[4]][sample], RSQRT2);
+ real_t cum = input[internal_channel[2]][sample] + C + R_S;
+ return MUL_F(cum, DM_MUL);
}
- else
- return ROUND64 (Sum);
}
-#else
-
void* output_to_PCM(faacDecHandle hDecoder,
real_t **input, void *sample_buffer, uint8_t channels,
uint16_t frame_len, uint8_t format)
@@ -223,18 +400,76 @@
uint8_t ch;
uint16_t i;
int16_t *short_sample_buffer = (int16_t*)sample_buffer;
+ int32_t *int_sample_buffer = (int32_t*)sample_buffer;
/* Copy output to a standard PCM buffer */
for (ch = 0; ch < channels; ch++)
{
- for(i = 0; i < frame_len; i++)
+ switch (format)
{
- int32_t tmp = input[ch][i];
- tmp += (1 << (REAL_BITS-1));
- tmp >>= REAL_BITS;
- if (tmp > 0x7fff) tmp = 0x7fff;
- else if (tmp <= -32768) tmp = -32768;
- short_sample_buffer[(i*channels)+ch] = (int16_t)tmp;
+ case FAAD_FMT_16BIT:
+ for(i = 0; i < frame_len; i++)
+ {
+ //int32_t tmp = input[ch][i];
+ int32_t tmp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
+ if (tmp >= 0)
+ {
+ tmp += (1 << (REAL_BITS-1));
+ if (tmp >= REAL_CONST(32767))
+ {
+ tmp = REAL_CONST(32767);
+ }
+ } else {
+ tmp += -(1 << (REAL_BITS-1));
+ if (tmp <= REAL_CONST(-32768))
+ {
+ tmp = REAL_CONST(-32768);
+ }
+ }
+ tmp >>= REAL_BITS;
+ short_sample_buffer[(i*channels)+ch] = (int16_t)tmp;
+ }
+ break;
+ case FAAD_FMT_24BIT:
+ for(i = 0; i < frame_len; i++)
+ {
+ //int32_t tmp = input[ch][i];
+ int32_t tmp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
+ if (tmp >= 0)
+ {
+ tmp += (1 << (REAL_BITS-9));
+ tmp >>= (REAL_BITS-8);
+ if (tmp >= 8388607)
+ {
+ tmp = 8388607;
+ }
+ } else {
+ tmp += -(1 << (REAL_BITS-9));
+ tmp >>= (REAL_BITS-8);
+ if (tmp <= -8388608)
+ {
+ tmp = -8388608;
+ }
+ }
+ int_sample_buffer[(i*channels)+ch] = (int32_t)tmp;
+ }
+ break;
+ case FAAD_FMT_32BIT:
+ for(i = 0; i < frame_len; i++)
+ {
+ //int32_t tmp = input[ch][i];
+ int32_t tmp = get_sample(input, ch, i, hDecoder->downMatrix, hDecoder->internal_channel);
+ if (tmp >= 0)
+ {
+ tmp += (1 << (16-REAL_BITS-1));
+ tmp <<= (16-REAL_BITS);
+ } else {
+ tmp += -(1 << (16-REAL_BITS-1));
+ tmp <<= (16-REAL_BITS);
+ }
+ int_sample_buffer[(i*channels)+ch] = (int32_t)tmp;
+ }
+ break;
}
}
Index: output.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/output.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- output.h 3 Oct 2003 22:22:27 -0000 1.2
+++ output.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -39,9 +39,6 @@
uint16_t frame_len,
uint8_t format);
-static int64_t dither_output(uint8_t dithering, uint8_t shapingtype,
- uint16_t i, double Sum, uint8_t k);
-
#ifdef __cplusplus
}
#endif
Index: pns.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/pns.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- pns.c 3 Oct 2003 22:22:27 -0000 1.2
+++ pns.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -31,6 +31,11 @@
#include "pns.h"
+/* static function declarations */
+static void gen_rand_vector(real_t *spec, int16_t scale_factor, uint16_t size,
+ uint8_t sub);
+
+
#ifdef FIXED_POINT
#define DIV(A, B) (((int64_t)A << REAL_BITS)/B)
@@ -116,7 +121,7 @@
else
tmp = (tmp & ((1<<(REAL_BITS-1))-1));
- energy += MUL(tmp,tmp);
+ energy += MUL_R(tmp,tmp);
spec[i] = tmp;
}
@@ -138,11 +143,11 @@
scale <<= exp;
if (frac)
- scale = MUL_R_C(scale, pow2_table[frac + 3]);
+ scale = MUL_C(scale, pow2_table[frac + 3]);
for (i = 0; i < size; i++)
{
- spec[i] = MUL(spec[i], scale);
+ spec[i] = MUL_R(spec[i], scale);
}
}
#endif
Index: pns.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/pns.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- pns.h 3 Oct 2003 22:22:27 -0000 1.2
+++ pns.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -42,10 +42,6 @@
real_t *spec_left, real_t *spec_right, uint16_t frame_len,
uint8_t channel_pair, uint8_t object_type);
-static INLINE int32_t random2();
-static void gen_rand_vector(real_t *spec, int16_t scale_factor, uint16_t size,
- uint8_t sub);
-
static INLINE uint8_t is_noise(ic_stream *ics, uint8_t group, uint8_t sfb)
{
if (ics->sfb_cb[group][sfb] == NOISE_HCB)
Index: pulse.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/pulse.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- pulse.c 3 Oct 2003 22:22:27 -0000 1.2
+++ pulse.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: pulse.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/pulse.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- pulse.h 3 Oct 2003 22:22:27 -0000 1.2
+++ pulse.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: rvlc.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/rvlc.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- rvlc.c 3 Oct 2003 22:22:27 -0000 1.2
+++ rvlc.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -52,25 +52,41 @@
//#define PRINT_RVLC
+/* static function declarations */
+static uint8_t rvlc_decode_sf_forward(ic_stream *ics,
+ bitfile *ld_sf,
+ bitfile *ld_esc,
+ uint8_t *is_used);
+#if 0
+static uint8_t rvlc_decode_sf_reverse(ic_stream *ics,
+ bitfile *ld_sf,
+ bitfile *ld_esc,
+ uint8_t is_used);
+#endif
+static int8_t rvlc_huffman_sf(bitfile *ld_sf, bitfile *ld_esc,
+ int8_t direction);
+static int8_t rvlc_huffman_esc(bitfile *ld_esc, int8_t direction);
+
+
uint8_t rvlc_scale_factor_data(ic_stream *ics, bitfile *ld)
{
uint8_t bits = 9;
ics->sf_concealment = faad_get1bit(ld
DEBUGVAR(1,149,"rvlc_scale_factor_data(): sf_concealment"));
- ics->rev_global_gain = faad_getbits(ld, 8
+ ics->rev_global_gain = (uint8_t)faad_getbits(ld, 8
DEBUGVAR(1,150,"rvlc_scale_factor_data(): rev_global_gain"));
if (ics->window_sequence == EIGHT_SHORT_SEQUENCE)
bits = 11;
/* the number of bits used for the huffman codewords */
- ics->length_of_rvlc_sf = faad_getbits(ld, bits
+ ics->length_of_rvlc_sf = (uint16_t)faad_getbits(ld, bits
DEBUGVAR(1,151,"rvlc_scale_factor_data(): length_of_rvlc_sf"));
if (ics->noise_used)
{
- ics->dpcm_noise_nrg = faad_getbits(ld, 9
+ ics->dpcm_noise_nrg = (uint16_t)faad_getbits(ld, 9
DEBUGVAR(1,152,"rvlc_scale_factor_data(): dpcm_noise_nrg"));
ics->length_of_rvlc_sf -= 9;
@@ -81,13 +97,13 @@
if (ics->sf_escapes_present)
{
- ics->length_of_rvlc_escapes = faad_getbits(ld, 8
+ ics->length_of_rvlc_escapes = (uint8_t)faad_getbits(ld, 8
DEBUGVAR(1,154,"rvlc_scale_factor_data(): length_of_rvlc_escapes"));
}
if (ics->noise_used)
{
- ics->dpcm_noise_last_position = faad_getbits(ld, 9
+ ics->dpcm_noise_last_position = (uint16_t)faad_getbits(ld, 9
DEBUGVAR(1,155,"rvlc_scale_factor_data(): dpcm_noise_last_position"));
}
@@ -136,8 +152,8 @@
// &ld_rvlc_esc_rev, intensity_used);
- if (rvlc_esc_buffer) free(rvlc_esc_buffer);
- if (rvlc_sf_buffer) free(rvlc_sf_buffer);
+ if (rvlc_esc_buffer) faad_free(rvlc_esc_buffer);
+ if (rvlc_sf_buffer) faad_free(rvlc_sf_buffer);
if (ics->length_of_rvlc_sf > 0)
faad_endbits(&ld_rvlc_sf);
@@ -235,6 +251,7 @@
return 0;
}
+#if 0 // not used right now, doesn't work correctly yet
static uint8_t rvlc_decode_sf_reverse(ic_stream *ics, bitfile *ld_sf, bitfile *ld_esc,
uint8_t intensity_used)
{
@@ -283,9 +300,8 @@
t = rvlc_huffman_sf(ld_sf, ld_esc, -1);
is_position -= t;
- ics->scale_factors[g][sfb] = is_position;
+ ics->scale_factors[g][sfb] = (uint8_t)is_position;
}
-
break;
case NOISE_HCB: /* noise books */
@@ -299,8 +315,7 @@
noise_energy -= t;
}
- ics->scale_factors[g][sfb] = noise_energy;
-
+ ics->scale_factors[g][sfb] = (uint8_t)noise_energy;
break;
default: /* spectral books */
@@ -315,11 +330,10 @@
scale_factor -= t;
}
- ics->scale_factors[g][sfb] = scale_factor;
-
if (scale_factor < 0)
return 4;
+ ics->scale_factors[g][sfb] = (uint8_t)scale_factor;
break;
}
#ifdef PRINT_RVLC
@@ -340,6 +354,7 @@
return 0;
}
+#endif
/* index == 99 means not allowed codeword */
static rvlc_huff_table book_rvlc[] = {
@@ -511,4 +526,5 @@
return h->index;
}
-#endif
\ No newline at end of file
+#endif
+
Index: rvlc.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/rvlc.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- rvlc.h 3 Oct 2003 22:22:27 -0000 1.2
+++ rvlc.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -46,18 +46,6 @@
uint8_t rvlc_scale_factor_data(ic_stream *ics, bitfile *ld);
uint8_t rvlc_decode_scale_factors(ic_stream *ics, bitfile *ld);
-static uint8_t rvlc_decode_sf_forward(ic_stream *ics,
- bitfile *ld_sf,
- bitfile *ld_esc,
- uint8_t *is_used);
-static uint8_t rvlc_decode_sf_reverse(ic_stream *ics,
- bitfile *ld_sf,
- bitfile *ld_esc,
- uint8_t is_used);
-static int8_t rvlc_huffman_sf(bitfile *ld_sf, bitfile *ld_esc,
- int8_t direction);
-static int8_t rvlc_huffman_esc(bitfile *ld_esc, int8_t direction);
-
#ifdef __cplusplus
}
Index: sbr_dct.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_dct.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_dct.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_dct.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,19 +1,19 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
-**
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
** Any non-GPL usage of this software or parts of this software is strictly
@@ -34,7 +34,6 @@
#pragma warning(disable:4244)
#endif
-#define MUL_C_R(B,A) MUL_R_C(A,B)
#include "sbr_dct.h"
@@ -71,13 +70,13 @@
real_t f261, f262, f263, f264, f265, f266, f267, f268, f269, f270;
real_t f271, f272;
- f0 = MUL_C_R(COEF_CONST(0.7071067811865476), x[16]);
+ f0 = MUL_C(COEF_CONST(0.7071067811865476), x[16]);
f1 = x[0] - f0;
f2 = x[0] + f0;
f3 = x[8] + x[24];
- f4 = MUL_C_R(COEF_CONST(1.3065629648763766), x[8]);
- f5 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f3);
- f6 = MUL_C_R(COEF_CONST((-0.5411961001461967)), x[24]);
+ f4 = MUL_C(COEF_CONST(1.3065629648763766), x[8]);
+ f5 = MUL_C(COEF_CONST((-0.9238795325112866)), f3);
+ f6 = MUL_C(COEF_CONST((-0.5411961001461967)), x[24]);
f7 = f4 + f5;
f8 = f6 - f5;
f9 = f2 - f8;
@@ -85,23 +84,23 @@
f11 = f1 - f7;
f12 = f1 + f7;
f13 = x[4] + x[28];
- f14 = MUL_C_R(COEF_CONST(1.1758756024193588), x[4]);
- f15 = MUL_C_R(COEF_CONST((-0.9807852804032304)), f13);
- f16 = MUL_C_R(COEF_CONST((-0.7856949583871021)), x[28]);
+ f14 = MUL_C(COEF_CONST(1.1758756024193588), x[4]);
+ f15 = MUL_C(COEF_CONST((-0.9807852804032304)), f13);
+ f16 = MUL_C(COEF_CONST((-0.7856949583871021)), x[28]);
f17 = f14 + f15;
f18 = f16 - f15;
f19 = x[12] + x[20];
- f20 = MUL_C_R(COEF_CONST(1.3870398453221473), x[12]);
- f21 = MUL_C_R(COEF_CONST((-0.8314696123025455)), f19);
- f22 = MUL_C_R(COEF_CONST((-0.2758993792829436)), x[20]);
+ f20 = MUL_C(COEF_CONST(1.3870398453221473), x[12]);
+ f21 = MUL_C(COEF_CONST((-0.8314696123025455)), f19);
+ f22 = MUL_C(COEF_CONST((-0.2758993792829436)), x[20]);
f23 = f20 + f21;
f24 = f22 - f21;
f25 = f18 - f24;
f26 = f18 + f24;
- f27 = MUL_C_R(COEF_CONST(0.7071067811865476), f25);
+ f27 = MUL_C(COEF_CONST(0.7071067811865476), f25);
f28 = f17 - f23;
f29 = f17 + f23;
- f30 = MUL_C_R(COEF_CONST(0.7071067811865476), f29);
+ f30 = MUL_C(COEF_CONST(0.7071067811865476), f29);
f31 = f27 - f30;
f32 = f27 + f30;
f33 = f10 - f26;
@@ -113,27 +112,27 @@
f39 = f9 - f28;
f40 = f9 + f28;
f41 = x[2] + x[30];
- f42 = MUL_C_R(COEF_CONST(1.0932018670017569), x[2]);
- f43 = MUL_C_R(COEF_CONST((-0.9951847266721969)), f41);
- f44 = MUL_C_R(COEF_CONST((-0.8971675863426368)), x[30]);
+ f42 = MUL_C(COEF_CONST(1.0932018670017569), x[2]);
+ f43 = MUL_C(COEF_CONST((-0.9951847266721969)), f41);
+ f44 = MUL_C(COEF_CONST((-0.8971675863426368)), x[30]);
f45 = f42 + f43;
f46 = f44 - f43;
f47 = x[6] + x[26];
- f48 = MUL_C_R(COEF_CONST(1.2472250129866711), x[6]);
- f49 = MUL_C_R(COEF_CONST((-0.9569403357322089)), f47);
- f50 = MUL_C_R(COEF_CONST((-0.6666556584777469)), x[26]);
+ f48 = MUL_C(COEF_CONST(1.2472250129866711), x[6]);
+ f49 = MUL_C(COEF_CONST((-0.9569403357322089)), f47);
+ f50 = MUL_C(COEF_CONST((-0.6666556584777469)), x[26]);
f51 = f48 + f49;
f52 = f50 - f49;
f53 = x[10] + x[22];
- f54 = MUL_C_R(COEF_CONST(1.3533180011743526), x[10]);
- f55 = MUL_C_R(COEF_CONST((-0.8819212643483551)), f53);
- f56 = MUL_C_R(COEF_CONST((-0.4105245275223575)), x[22]);
+ f54 = MUL_C(COEF_CONST(1.3533180011743526), x[10]);
+ f55 = MUL_C(COEF_CONST((-0.8819212643483551)), f53);
+ f56 = MUL_C(COEF_CONST((-0.4105245275223575)), x[22]);
f57 = f54 + f55;
f58 = f56 - f55;
f59 = x[14] + x[18];
- f60 = MUL_C_R(COEF_CONST(1.4074037375263826), x[14]);
- f61 = MUL_C_R(COEF_CONST((-0.7730104533627369)), f59);
- f62 = MUL_C_R(COEF_CONST((-0.1386171691990913)), x[18]);
+ f60 = MUL_C(COEF_CONST(1.4074037375263826), x[14]);
+ f61 = MUL_C(COEF_CONST((-0.7730104533627369)), f59);
+ f62 = MUL_C(COEF_CONST((-0.1386171691990913)), x[18]);
f63 = f60 + f61;
f64 = f62 - f61;
f65 = f46 - f64;
@@ -142,11 +141,11 @@
f68 = f52 + f58;
f69 = f66 - f68;
f70 = f66 + f68;
- f71 = MUL_C_R(COEF_CONST(0.7071067811865476), f69);
+ f71 = MUL_C(COEF_CONST(0.7071067811865476), f69);
f72 = f65 + f67;
- f73 = MUL_C_R(COEF_CONST(1.3065629648763766), f65);
- f74 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f72);
- f75 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f67);
+ f73 = MUL_C(COEF_CONST(1.3065629648763766), f65);
+ f74 = MUL_C(COEF_CONST((-0.9238795325112866)), f72);
+ f75 = MUL_C(COEF_CONST((-0.5411961001461967)), f67);
f76 = f73 + f74;
f77 = f75 - f74;
f78 = f45 - f63;
@@ -154,14 +153,14 @@
f80 = f51 - f57;
f81 = f51 + f57;
f82 = f79 + f81;
- f83 = MUL_C_R(COEF_CONST(1.3065629648763770), f79);
- f84 = MUL_C_R(COEF_CONST((-0.3826834323650904)), f82);
- f85 = MUL_C_R(COEF_CONST(0.5411961001461961), f81);
+ f83 = MUL_C(COEF_CONST(1.3065629648763770), f79);
+ f84 = MUL_C(COEF_CONST((-0.3826834323650904)), f82);
+ f85 = MUL_C(COEF_CONST(0.5411961001461961), f81);
f86 = f83 + f84;
f87 = f85 - f84;
f88 = f78 - f80;
f89 = f78 + f80;
- f90 = MUL_C_R(COEF_CONST(0.7071067811865476), f89);
+ f90 = MUL_C(COEF_CONST(0.7071067811865476), f89);
f91 = f77 - f87;
f92 = f77 + f87;
f93 = f71 - f90;
@@ -185,51 +184,51 @@
f111 = f33 - f88;
f112 = f33 + f88;
f113 = x[1] + x[31];
- f114 = MUL_C_R(COEF_CONST(1.0478631305325901), x[1]);
- f115 = MUL_C_R(COEF_CONST((-0.9987954562051724)), f113);
- f116 = MUL_C_R(COEF_CONST((-0.9497277818777548)), x[31]);
+ f114 = MUL_C(COEF_CONST(1.0478631305325901), x[1]);
+ f115 = MUL_C(COEF_CONST((-0.9987954562051724)), f113);
+ f116 = MUL_C(COEF_CONST((-0.9497277818777548)), x[31]);
f117 = f114 + f115;
f118 = f116 - f115;
f119 = x[5] + x[27];
- f120 = MUL_C_R(COEF_CONST(1.2130114330978077), x[5]);
- f121 = MUL_C_R(COEF_CONST((-0.9700312531945440)), f119);
- f122 = MUL_C_R(COEF_CONST((-0.7270510732912803)), x[27]);
+ f120 = MUL_C(COEF_CONST(1.2130114330978077), x[5]);
+ f121 = MUL_C(COEF_CONST((-0.9700312531945440)), f119);
+ f122 = MUL_C(COEF_CONST((-0.7270510732912803)), x[27]);
f123 = f120 + f121;
f124 = f122 - f121;
f125 = x[9] + x[23];
- f126 = MUL_C_R(COEF_CONST(1.3315443865537255), x[9]);
- f127 = MUL_C_R(COEF_CONST((-0.9039892931234433)), f125);
- f128 = MUL_C_R(COEF_CONST((-0.4764341996931612)), x[23]);
+ f126 = MUL_C(COEF_CONST(1.3315443865537255), x[9]);
+ f127 = MUL_C(COEF_CONST((-0.9039892931234433)), f125);
+ f128 = MUL_C(COEF_CONST((-0.4764341996931612)), x[23]);
f129 = f126 + f127;
f130 = f128 - f127;
f131 = x[13] + x[19];
- f132 = MUL_C_R(COEF_CONST(1.3989068359730781), x[13]);
- f133 = MUL_C_R(COEF_CONST((-0.8032075314806453)), f131);
- f134 = MUL_C_R(COEF_CONST((-0.2075082269882124)), x[19]);
+ f132 = MUL_C(COEF_CONST(1.3989068359730781), x[13]);
+ f133 = MUL_C(COEF_CONST((-0.8032075314806453)), f131);
+ f134 = MUL_C(COEF_CONST((-0.2075082269882124)), x[19]);
f135 = f132 + f133;
f136 = f134 - f133;
f137 = x[17] + x[15];
- f138 = MUL_C_R(COEF_CONST(1.4125100802019777), x[17]);
- f139 = MUL_C_R(COEF_CONST((-0.6715589548470187)), f137);
- f140 = MUL_C_R(COEF_CONST(0.0693921705079402), x[15]);
+ f138 = MUL_C(COEF_CONST(1.4125100802019777), x[17]);
+ f139 = MUL_C(COEF_CONST((-0.6715589548470187)), f137);
+ f140 = MUL_C(COEF_CONST(0.0693921705079402), x[15]);
f141 = f138 + f139;
f142 = f140 - f139;
f143 = x[21] + x[11];
- f144 = MUL_C_R(COEF_CONST(1.3718313541934939), x[21]);
- f145 = MUL_C_R(COEF_CONST((-0.5141027441932219)), f143);
- f146 = MUL_C_R(COEF_CONST(0.3436258658070501), x[11]);
+ f144 = MUL_C(COEF_CONST(1.3718313541934939), x[21]);
+ f145 = MUL_C(COEF_CONST((-0.5141027441932219)), f143);
+ f146 = MUL_C(COEF_CONST(0.3436258658070501), x[11]);
f147 = f144 + f145;
f148 = f146 - f145;
f149 = x[25] + x[7];
- f150 = MUL_C_R(COEF_CONST(1.2784339185752409), x[25]);
- f151 = MUL_C_R(COEF_CONST((-0.3368898533922200)), f149);
- f152 = MUL_C_R(COEF_CONST(0.6046542117908008), x[7]);
+ f150 = MUL_C(COEF_CONST(1.2784339185752409), x[25]);
+ f151 = MUL_C(COEF_CONST((-0.3368898533922200)), f149);
+ f152 = MUL_C(COEF_CONST(0.6046542117908008), x[7]);
f153 = f150 + f151;
f154 = f152 - f151;
f155 = x[29] + x[3];
- f156 = MUL_C_R(COEF_CONST(1.1359069844201433), x[29]);
- f157 = MUL_C_R(COEF_CONST((-0.1467304744553624)), f155);
- f158 = MUL_C_R(COEF_CONST(0.8424460355094185), x[3]);
+ f156 = MUL_C(COEF_CONST(1.1359069844201433), x[29]);
+ f157 = MUL_C(COEF_CONST((-0.1467304744553624)), f155);
+ f158 = MUL_C(COEF_CONST(0.8424460355094185), x[3]);
f159 = f156 + f157;
f160 = f158 - f157;
f161 = f118 - f142;
@@ -249,27 +248,27 @@
f175 = f135 - f159;
f176 = f135 + f159;
f177 = f161 + f163;
- f178 = MUL_C_R(COEF_CONST(1.1758756024193588), f161);
- f179 = MUL_C_R(COEF_CONST((-0.9807852804032304)), f177);
- f180 = MUL_C_R(COEF_CONST((-0.7856949583871021)), f163);
+ f178 = MUL_C(COEF_CONST(1.1758756024193588), f161);
+ f179 = MUL_C(COEF_CONST((-0.9807852804032304)), f177);
+ f180 = MUL_C(COEF_CONST((-0.7856949583871021)), f163);
f181 = f178 + f179;
f182 = f180 - f179;
f183 = f165 + f167;
- f184 = MUL_C_R(COEF_CONST(1.3870398453221475), f165);
- f185 = MUL_C_R(COEF_CONST((-0.5555702330196022)), f183);
- f186 = MUL_C_R(COEF_CONST(0.2758993792829431), f167);
+ f184 = MUL_C(COEF_CONST(1.3870398453221475), f165);
+ f185 = MUL_C(COEF_CONST((-0.5555702330196022)), f183);
+ f186 = MUL_C(COEF_CONST(0.2758993792829431), f167);
f187 = f184 + f185;
f188 = f186 - f185;
f189 = f169 + f171;
- f190 = MUL_C_R(COEF_CONST(0.7856949583871022), f169);
- f191 = MUL_C_R(COEF_CONST(0.1950903220161283), f189);
- f192 = MUL_C_R(COEF_CONST(1.1758756024193586), f171);
+ f190 = MUL_C(COEF_CONST(0.7856949583871022), f169);
+ f191 = MUL_C(COEF_CONST(0.1950903220161283), f189);
+ f192 = MUL_C(COEF_CONST(1.1758756024193586), f171);
f193 = f190 + f191;
f194 = f192 - f191;
f195 = f173 + f175;
- f196 = MUL_C_R(COEF_CONST((-0.2758993792829430)), f173);
- f197 = MUL_C_R(COEF_CONST(0.8314696123025452), f195);
- f198 = MUL_C_R(COEF_CONST(1.3870398453221475), f175);
+ f196 = MUL_C(COEF_CONST((-0.2758993792829430)), f173);
+ f197 = MUL_C(COEF_CONST(0.8314696123025452), f195);
+ f198 = MUL_C(COEF_CONST(1.3870398453221475), f175);
f199 = f196 + f197;
f200 = f198 - f197;
f201 = f162 - f170;
@@ -289,27 +288,27 @@
f215 = f187 - f199;
f216 = f187 + f199;
f217 = f201 + f203;
- f218 = MUL_C_R(COEF_CONST(1.3065629648763766), f201);
- f219 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f217);
- f220 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f203);
+ f218 = MUL_C(COEF_CONST(1.3065629648763766), f201);
+ f219 = MUL_C(COEF_CONST((-0.9238795325112866)), f217);
+ f220 = MUL_C(COEF_CONST((-0.5411961001461967)), f203);
f221 = f218 + f219;
f222 = f220 - f219;
f223 = f205 + f207;
- f224 = MUL_C_R(COEF_CONST(0.5411961001461969), f205);
- f225 = MUL_C_R(COEF_CONST(0.3826834323650898), f223);
- f226 = MUL_C_R(COEF_CONST(1.3065629648763766), f207);
+ f224 = MUL_C(COEF_CONST(0.5411961001461969), f205);
+ f225 = MUL_C(COEF_CONST(0.3826834323650898), f223);
+ f226 = MUL_C(COEF_CONST(1.3065629648763766), f207);
f227 = f224 + f225;
f228 = f226 - f225;
f229 = f209 + f211;
- f230 = MUL_C_R(COEF_CONST(1.3065629648763766), f209);
- f231 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f229);
- f232 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f211);
+ f230 = MUL_C(COEF_CONST(1.3065629648763766), f209);
+ f231 = MUL_C(COEF_CONST((-0.9238795325112866)), f229);
+ f232 = MUL_C(COEF_CONST((-0.5411961001461967)), f211);
f233 = f230 + f231;
f234 = f232 - f231;
f235 = f213 + f215;
- f236 = MUL_C_R(COEF_CONST(0.5411961001461969), f213);
- f237 = MUL_C_R(COEF_CONST(0.3826834323650898), f235);
- f238 = MUL_C_R(COEF_CONST(1.3065629648763766), f215);
+ f236 = MUL_C(COEF_CONST(0.5411961001461969), f213);
+ f237 = MUL_C(COEF_CONST(0.3826834323650898), f235);
+ f238 = MUL_C(COEF_CONST(1.3065629648763766), f215);
f239 = f236 + f237;
f240 = f238 - f237;
f241 = f202 - f206;
@@ -330,20 +329,20 @@
f256 = f233 + f239;
f257 = f241 - f243;
f258 = f241 + f243;
- f259 = MUL_C_R(COEF_CONST(0.7071067811865474), f257);
- f260 = MUL_C_R(COEF_CONST(0.7071067811865474), f258);
+ f259 = MUL_C(COEF_CONST(0.7071067811865474), f257);
+ f260 = MUL_C(COEF_CONST(0.7071067811865474), f258);
f261 = f245 - f247;
f262 = f245 + f247;
- f263 = MUL_C_R(COEF_CONST(0.7071067811865474), f261);
- f264 = MUL_C_R(COEF_CONST(0.7071067811865474), f262);
+ f263 = MUL_C(COEF_CONST(0.7071067811865474), f261);
+ f264 = MUL_C(COEF_CONST(0.7071067811865474), f262);
f265 = f249 - f251;
f266 = f249 + f251;
- f267 = MUL_C_R(COEF_CONST(0.7071067811865474), f265);
- f268 = MUL_C_R(COEF_CONST(0.7071067811865474), f266);
+ f267 = MUL_C(COEF_CONST(0.7071067811865474), f265);
+ f268 = MUL_C(COEF_CONST(0.7071067811865474), f266);
f269 = f253 - f255;
f270 = f253 + f255;
- f271 = MUL_C_R(COEF_CONST(0.7071067811865474), f269);
- f272 = MUL_C_R(COEF_CONST(0.7071067811865474), f270);
+ f271 = MUL_C(COEF_CONST(0.7071067811865474), f269);
+ f272 = MUL_C(COEF_CONST(0.7071067811865474), f270);
y[31] = f98 - f242;
y[0] = f98 + f242;
y[30] = f100 - f250;
@@ -388,27 +387,27 @@
real_t f41, f42, f43, f44, f45, f46, f47, f48, f49, f50;
real_t f51, f52, f53, f54, f55, f56, f57, f58, f59, f60;
real_t f61, f62, f65, f66, f67, f68, f71, f72, f73, f74;
- real_t f75, f76, f77, f78, f79, f80, f81, f82, f85, f86;
+ real_t f75, f76, f77, f78, f79, f80, f81, f82, f83, f85;
real_t f87, f88, f91, f92, f93, f94, f95, f96, f97, f98;
real_t f99, f100, f101, f102, f103, f104, f105, f106, f107, f108;
real_t f109, f110, f111, f112, f113, f114, f115, f116, f117, f118;
- real_t f119, f120, f121, f122, f123, f124, f125, f126, f127, f128;
- real_t f129, f130, f133, f134, f135, f136, f139, f140, f141, f142;
- real_t f145, f146, f147, f148, f151, f152, f153, f154, f155, f156;
+ real_t f119, f120, f121, f122, f123, f124, f125, f126, f129, f130;
+ real_t f131, f132, f135, f136, f137, f138, f141, f142, f143, f144;
+ real_t f147, f148, f149, f150, f151, f152, f153, f154, f155, f156;
real_t f157, f158, f159, f160, f161, f162, f163, f164, f165, f166;
real_t f167, f168, f169, f170, f171, f172, f173, f174, f175, f176;
real_t f177, f178, f179, f180, f181, f182, f183, f184, f185, f186;
real_t f187, f188, f189, f190, f191, f192, f193, f194, f195, f196;
real_t f197, f198, f199, f200, f201, f202, f203, f204, f205, f206;
- real_t f207, f208, f209, f210, f211, f213, f214, f215, f216, f217;
- real_t f218, f219, f220, f221, f222, f223, f224, f225, f226, f227;
- real_t f228, f229, f230, f231, f232, f233, f234, f235, f236, f237;
- real_t f238, f239, f240, f241, f242, f243, f244, f245, f246, f247;
- real_t f248, f249, f250, f251, f252, f253, f254, f255, f256, f257;
- real_t f258, f259, f260, f261, f262, f263, f264, f265, f266, f267;
- real_t f268, f269, f270, f271, f272, f273, f274, f275, f276, f277;
- real_t f279, f280, f295, f296, f297, f298, f299, f300, f301, f302;
- real_t f303, f304, f305, f306, f307, f308, f309, f310, f311, f312;
+ real_t f207, f208, f209, f210, f211, f212, f213, f214, f215, f216;
+ real_t f217, f218, f219, f220, f221, f222, f223, f224, f225, f226;
+ real_t f227, f228, f229, f230, f231, f232, f233, f234, f235, f236;
+ real_t f237, f238, f239, f240, f241, f242, f243, f244, f245, f246;
+ real_t f247, f248, f249, f250, f251, f252, f253, f254, f255, f256;
+ real_t f257, f258, f259, f260, f261, f262, f265, f266, f267, f268;
+ real_t f271, f272, f273, f274, f277, f278, f279, f280, f283, f284;
+ real_t f285, f286, f289, f290, f291, f292, f295, f296, f297, f298;
+ real_t f301, f302, f303, f304, f307, f308, f309, f310, f311, f312;
real_t f313, f314, f315, f316, f317, f318, f319, f320, f321, f322;
real_t f323, f324, f325, f326, f327, f328, f329, f330, f331, f332;
real_t f333, f334, f335, f336, f337, f338, f339, f340, f341, f342;
@@ -420,27 +419,28 @@
real_t f393, f394, f395, f396, f397, f398, f399, f400, f401, f402;
real_t f403, f404, f405, f406, f407, f408, f409, f410, f411, f412;
real_t f413, f414, f415, f416, f417, f418, f419, f420, f421, f422;
- real_t f423, f424, f425, f426, f427, f428, f429, f430, f431, f432;
- real_t f433, f434, f435, f436, f437, f438, f439, f440, f441, f442;
- real_t f443, f444, f445, f446, f447, f448, f449, f450, f451, f452;
- real_t f453, f454, f455, f456, f457, f458, f459, f460, f461, f462;
- real_t f463, f464, f465, f466, f467, f468, f469, f470, f471, f472;
- real_t f473, f474, f475, f476, f477, f478, f479, f480, f481, f482;
- real_t f483, f484, f485, f486, f487, f488, f489, f490, f491, f492;
- real_t f493, f494, f495, f496, f497, f498, f499, f500, f501, f502;
- real_t f503, f504, f505, f506, f507, f508, f509, f510, f511, f512;
- real_t f513, f514, f515, f516, f517, f518, f519, f520, f521, f522;
- real_t f523, f524, f525, f526, f527, f528, f529, f530, f531, f532;
- real_t f533, f534, f535, f536, f537, f538, f539, f540, f541, f542;
- real_t f543, f544, f545, f546, f547, f548, f549, f550, f551, f552;
- real_t f553, f554, f557, f558, f559, f560, f563, f564, f565, f566;
- real_t f569, f570, f571, f572, f575, f576, f577, f578, f581, f582;
- real_t f583, f584, f587, f588, f589, f590, f593, f594, f595, f596;
- real_t f599, f600, f601, f602, f605, f606, f607, f608, f611, f612;
- real_t f613, f614, f617, f618, f619, f620, f623, f624, f625, f626;
- real_t f629, f630, f631, f632, f635, f636, f637, f638, f641, f642;
- real_t f643, f644;
- static real_t t2[64];
+ real_t f423, f424, f425, f426, f427, f428, f429, f430, f431, f433;
+ real_t f434, f435, f436, f437, f438, f439, f440, f441, f442, f443;
+ real_t f444, f445, f446, f447, f448, f449, f450, f451, f452, f453;
+ real_t f454, f455, f456, f457, f458, f459, f460, f461, f462, f463;
+ real_t f464, f465, f466, f467, f468, f469, f470, f471, f472, f473;
+ real_t f474, f475, f476, f477, f478, f479, f480, f481, f482, f483;
+ real_t f484, f485, f486, f487, f488, f489, f490, f491, f492, f493;
+ real_t f494, f495, f496, f497, f498, f499, f500, f501, f502, f503;
+ real_t f504, f505, f506, f507, f508, f509, f510, f511, f512, f513;
+ real_t f514, f515, f516, f517, f518, f519, f520, f521, f522, f523;
+ real_t f524, f525, f526, f527, f528, f529, f530, f531, f532, f533;
+ real_t f534, f535, f536, f537, f538, f539, f540, f541, f542, f543;
+ real_t f544, f546, f547, f548, f549, f550, f551, f552, f553, f554;
+ real_t f555, f556, f557, f558, f559, f560, f561, f562, f563, f564;
+ real_t f565, f566, f567, f568, f569, f570, f571, f572, f573, f574;
+ real_t f575, f576, f577, f578, f579, f580, f581, f582, f583, f584;
+ real_t f585, f586, f587, f588, f589, f590, f591, f592, f593, f594;
+ real_t f595, f596, f597, f598, f599, f600, f601, f602, f603, f604;
+ real_t f605, f606, f607, f608, f609, f610, f611, f612, f613, f614;
+ real_t f615, f616, f617, f618, f619, f620, f621, f622, f623, f624;
+ real_t f625, f626, f627, f628;
+ ALIGN static real_t t2[64];
for (i0=0; i0<32; i0++)
{
@@ -509,589 +509,1369 @@
f61 = f53 + f55;
f62 = f59 - f61;
y[0] = f59 + f61;
- y[32] = MUL_C_R(COEF_CONST(0.7071067811865476), f62);
+ y[32] = MUL_C(COEF_CONST(0.7071067811865476), f62);
f65 = f58 + f60;
- f66 = MUL_C_R(COEF_CONST(1.3065629648763766), f58);
- f67 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f65);
- f68 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f60);
+ f66 = MUL_C(COEF_CONST(1.3065629648763766), f58);
+ f67 = MUL_C(COEF_CONST((-0.9238795325112866)), f65);
+ f68 = MUL_C(COEF_CONST((-0.5411961001461967)), f60);
y[48] = f66 + f67;
y[16] = f68 - f67;
- f71 = f52 - f54;
- f72 = f52 + f54;
- f73 = MUL_C_R(COEF_CONST(0.7071067811865476), f72);
- f74 = MUL_C_R(COEF_CONST(0.7071067811865476), f71);
- f75 = f50 - f73;
- f76 = f50 + f73;
- f77 = f56 - f74;
- f78 = f56 + f74;
- f79 = f78 + f76;
- f80 = MUL_C_R(COEF_CONST((-0.7856949583871021)), f78);
- f81 = MUL_C_R(COEF_CONST(0.9807852804032304), f79);
- f82 = MUL_C_R(COEF_CONST(1.1758756024193588), f76);
- y[8] = f80 + f81;
- y[56] = f82 - f81;
- f85 = f77 + f75;
- f86 = MUL_C_R(COEF_CONST(0.2758993792829431), f77);
- f87 = MUL_C_R(COEF_CONST(0.5555702330196022), f85);
- f88 = MUL_C_R(COEF_CONST(1.3870398453221475), f75);
- y[40] = f86 + f87;
- y[24] = f88 - f87;
- f91 = f40 - f42;
- f92 = f40 + f42;
- f93 = MUL_C_R(COEF_CONST(0.7071067811865476), f92);
- f94 = MUL_C_R(COEF_CONST(0.7071067811865476), f91);
- f95 = f38 - f44;
- f96 = f38 + f44;
- f97 = MUL_C_R(COEF_CONST(0.7071067811865476), f96);
- f98 = MUL_C_R(COEF_CONST(0.7071067811865476), f95);
- f99 = f34 - f93;
- f100 = f34 + f93;
- f101 = f48 - f94;
- f102 = f48 + f94;
- f103 = f36 - f97;
- f104 = f36 + f97;
- f105 = f46 - f98;
- f106 = f46 + f98;
- f107 = f106 + f104;
- f108 = MUL_C_R(COEF_CONST((-0.5411961001461969)), f106);
- f109 = MUL_C_R(COEF_CONST(0.9238795325112867), f107);
- f110 = MUL_C_R(COEF_CONST(1.3065629648763766), f104);
- f111 = f108 + f109;
- f112 = f110 - f109;
- f113 = f105 + f103;
- f114 = MUL_C_R(COEF_CONST(1.3065629648763770), f105);
- f115 = MUL_C_R(COEF_CONST((-0.3826834323650904)), f113);
- f116 = MUL_C_R(COEF_CONST(0.5411961001461961), f103);
- f117 = f114 + f115;
- f118 = f116 - f115;
- f119 = f100 - f111;
- f120 = f100 + f111;
- f121 = f102 - f112;
- f122 = f102 + f112;
- f123 = f99 - f117;
- f124 = f99 + f117;
- f125 = f101 - f118;
- f126 = f101 + f118;
- f127 = f122 + f120;
- f128 = MUL_C_R(COEF_CONST((-0.8971675863426361)), f122);
- f129 = MUL_C_R(COEF_CONST(0.9951847266721968), f127);
- f130 = MUL_C_R(COEF_CONST(1.0932018670017576), f120);
- y[4] = f128 + f129;
- y[60] = f130 - f129;
- f133 = f126 + f124;
- f134 = MUL_C_R(COEF_CONST((-0.4105245275223571)), f126);
- f135 = MUL_C_R(COEF_CONST(0.8819212643483549), f133);
- f136 = MUL_C_R(COEF_CONST(1.3533180011743529), f124);
- y[20] = f134 + f135;
- y[44] = f136 - f135;
- f139 = f121 + f119;
- f140 = MUL_C_R(COEF_CONST(0.1386171691990915), f121);
- f141 = MUL_C_R(COEF_CONST(0.6343932841636455), f139);
- f142 = MUL_C_R(COEF_CONST(1.4074037375263826), f119);
- y[36] = f140 + f141;
- y[28] = f142 - f141;
- f145 = f125 + f123;
- f146 = MUL_C_R(COEF_CONST(0.6666556584777466), f125);
- f147 = MUL_C_R(COEF_CONST(0.2902846772544623), f145);
- f148 = MUL_C_R(COEF_CONST(1.2472250129866711), f123);
- y[52] = f146 + f147;
- y[12] = f148 - f147;
- f151 = f2 + f32;
- f152 = MUL_C_R(COEF_CONST(1.0478631305325901), f2);
- f153 = MUL_C_R(COEF_CONST((-0.9987954562051724)), f151);
- f154 = MUL_C_R(COEF_CONST((-0.9497277818777548)), f32);
- f155 = f152 + f153;
- f156 = f154 - f153;
- f157 = f4 + f30;
- f158 = MUL_C_R(COEF_CONST(1.1359069844201428), f4);
- f159 = MUL_C_R(COEF_CONST((-0.9891765099647809)), f157);
- f160 = MUL_C_R(COEF_CONST((-0.8424460355094190)), f30);
- f161 = f158 + f159;
- f162 = f160 - f159;
- f163 = f6 + f28;
- f164 = MUL_C_R(COEF_CONST(1.2130114330978077), f6);
- f165 = MUL_C_R(COEF_CONST((-0.9700312531945440)), f163);
- f166 = MUL_C_R(COEF_CONST((-0.7270510732912803)), f28);
- f167 = f164 + f165;
- f168 = f166 - f165;
- f169 = f8 + f26;
- f170 = MUL_C_R(COEF_CONST(1.2784339185752405), f8);
- f171 = MUL_C_R(COEF_CONST((-0.9415440651830209)), f169);
- f172 = MUL_C_R(COEF_CONST((-0.6046542117908014)), f26);
- f173 = f170 + f171;
- f174 = f172 - f171;
- f175 = f10 + f24;
- f176 = MUL_C_R(COEF_CONST(1.3315443865537255), f10);
- f177 = MUL_C_R(COEF_CONST((-0.9039892931234433)), f175);
- f178 = MUL_C_R(COEF_CONST((-0.4764341996931612)), f24);
- f179 = f176 + f177;
- f180 = f178 - f177;
- f181 = f12 + f22;
- f182 = MUL_C_R(COEF_CONST(1.3718313541934939), f12);
- f183 = MUL_C_R(COEF_CONST((-0.8577286100002722)), f181);
- f184 = MUL_C_R(COEF_CONST((-0.3436258658070507)), f22);
- f185 = f182 + f183;
- f186 = f184 - f183;
- f187 = f14 + f20;
- f188 = MUL_C_R(COEF_CONST(1.3989068359730781), f14);
- f189 = MUL_C_R(COEF_CONST((-0.8032075314806453)), f187);
- f190 = MUL_C_R(COEF_CONST((-0.2075082269882124)), f20);
- f191 = f188 + f189;
- f192 = f190 - f189;
- f193 = f16 + f18;
- f194 = MUL_C_R(COEF_CONST(1.4125100802019774), f16);
- f195 = MUL_C_R(COEF_CONST((-0.7409511253549591)), f193);
- f196 = MUL_C_R(COEF_CONST((-0.0693921705079408)), f18);
- f197 = f194 + f195;
- f198 = f196 - f195;
- f199 = f156 - f198;
- f200 = f156 + f198;
- f201 = f162 - f192;
- f202 = f162 + f192;
- f203 = f168 - f186;
- f204 = f168 + f186;
- f205 = f174 - f180;
- f206 = f174 + f180;
- f207 = f200 - f206;
- f208 = f200 + f206;
- f209 = f202 - f204;
- f210 = f202 + f204;
- f211 = f208 - f210;
- y[2] = f208 + f210;
- f213 = MUL_C_R(COEF_CONST(0.7071067811865476), f211);
- f214 = f207 + f209;
- f215 = MUL_C_R(COEF_CONST(1.3065629648763766), f207);
- f216 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f214);
- f217 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f209);
- f218 = f215 + f216;
- f219 = f217 - f216;
- f220 = f201 - f203;
- f221 = f201 + f203;
- f222 = MUL_C_R(COEF_CONST(0.7071067811865476), f221);
- f223 = MUL_C_R(COEF_CONST(0.7071067811865476), f220);
- f224 = f199 - f222;
- f225 = f199 + f222;
- f226 = f205 - f223;
- f227 = f205 + f223;
- f228 = f227 + f225;
- f229 = MUL_C_R(COEF_CONST((-0.7856949583871021)), f227);
- f230 = MUL_C_R(COEF_CONST(0.9807852804032304), f228);
- f231 = MUL_C_R(COEF_CONST(1.1758756024193588), f225);
- f232 = f229 + f230;
- f233 = f231 - f230;
- f234 = f226 + f224;
- f235 = MUL_C_R(COEF_CONST(0.2758993792829431), f226);
- f236 = MUL_C_R(COEF_CONST(0.5555702330196022), f234);
- f237 = MUL_C_R(COEF_CONST(1.3870398453221475), f224);
- f238 = f235 + f236;
- f239 = f237 - f236;
- f240 = f155 - f197;
- f241 = f155 + f197;
- f242 = f161 - f191;
- f243 = f161 + f191;
- f244 = f167 - f185;
- f245 = f167 + f185;
- f246 = f173 - f179;
- f247 = f173 + f179;
- f248 = f245 - f243;
- f249 = f245 + f243;
- f250 = MUL_C_R(COEF_CONST(0.7071067811865476), f249);
- f251 = f247 - f250;
- f252 = f247 + f250;
- f253 = MUL_C_R(COEF_CONST(0.7071067811865476), f248);
- f254 = f253 - f241;
- f255 = f253 + f241;
- f256 = f255 + f252;
- f257 = MUL_C_R(COEF_CONST((-0.7856949583871021)), f255);
- f258 = MUL_C_R(COEF_CONST(0.9807852804032304), f256);
- f259 = MUL_C_R(COEF_CONST(1.1758756024193588), f252);
- f260 = f257 + f258;
- f261 = f259 - f258;
- f262 = f254 + f251;
- f263 = MUL_C_R(COEF_CONST((-0.2758993792829430)), f254);
- f264 = MUL_C_R(COEF_CONST(0.8314696123025452), f262);
- f265 = MUL_C_R(COEF_CONST(1.3870398453221475), f251);
- f266 = f263 + f264;
- f267 = f265 - f264;
- f268 = f240 - f246;
- f269 = f240 + f246;
- f270 = f242 - f244;
- f271 = f242 + f244;
- f272 = f269 + f271;
- f273 = MUL_C_R(COEF_CONST(1.3065629648763770), f269);
- f274 = MUL_C_R(COEF_CONST((-0.3826834323650904)), f272);
- f275 = MUL_C_R(COEF_CONST(0.5411961001461961), f271);
- f276 = f273 + f274;
- f277 = f275 - f274;
- y[62] = f268 - f270;
- f279 = f268 + f270;
- f280 = MUL_C_R(COEF_CONST(0.7071067811865476), f279);
- y[10] = f232 - f260;
- y[6] = f232 + f260;
- y[18] = f219 - f277;
- y[14] = f219 + f277;
- y[26] = f239 + f266;
- y[22] = f239 - f266;
- y[34] = f213 - f280;
- y[30] = f213 + f280;
- y[42] = f238 - f267;
- y[38] = f238 + f267;
- y[50] = f218 - f276;
- y[46] = f218 + f276;
- y[58] = f233 + f261;
- y[54] = f233 - f261;
- f295 = t2[3] - t2[5];
- f296 = t2[3] + t2[5];
- f297 = t2[7] - t2[9];
- f298 = t2[7] + t2[9];
- f299 = t2[11] - t2[13];
- f300 = t2[11] + t2[13];
- f301 = t2[15] - t2[17];
- f302 = t2[15] + t2[17];
- f303 = t2[19] - t2[21];
- f304 = t2[19] + t2[21];
- f305 = t2[23] - t2[25];
- f306 = t2[23] + t2[25];
- f307 = t2[27] - t2[29];
- f308 = t2[27] + t2[29];
- f309 = t2[31] - t2[33];
- f310 = t2[31] + t2[33];
- f311 = t2[35] - t2[37];
- f312 = t2[35] + t2[37];
- f313 = t2[39] - t2[41];
- f314 = t2[39] + t2[41];
- f315 = t2[43] - t2[45];
- f316 = t2[43] + t2[45];
- f317 = t2[47] - t2[49];
- f318 = t2[47] + t2[49];
- f319 = t2[51] - t2[53];
- f320 = t2[51] + t2[53];
- f321 = t2[55] - t2[57];
- f322 = t2[55] + t2[57];
- f323 = t2[59] - t2[61];
- f324 = t2[59] + t2[61];
- f325 = MUL_C_R(COEF_CONST(0.7071067811865476), f310);
- f326 = t2[1] - f325;
- f327 = t2[1] + f325;
- f328 = f302 + f318;
- f329 = MUL_C_R(COEF_CONST(1.3065629648763766), f302);
- f330 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f328);
- f331 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f318);
- f332 = f329 + f330;
- f333 = f331 - f330;
- f334 = f327 - f333;
- f335 = f327 + f333;
- f336 = f326 - f332;
- f337 = f326 + f332;
- f338 = f306 - f314;
- f339 = f306 + f314;
- f340 = MUL_C_R(COEF_CONST(0.7071067811865476), f339);
- f341 = f298 - f340;
- f342 = f298 + f340;
- f343 = MUL_C_R(COEF_CONST(0.7071067811865476), f338);
- f344 = f343 - f322;
- f345 = f343 + f322;
- f346 = f345 + f342;
- f347 = MUL_C_R(COEF_CONST((-0.7856949583871021)), f345);
- f348 = MUL_C_R(COEF_CONST(0.9807852804032304), f346);
- f349 = MUL_C_R(COEF_CONST(1.1758756024193588), f342);
- f350 = f347 + f348;
- f351 = f349 - f348;
- f352 = f344 + f341;
- f353 = MUL_C_R(COEF_CONST((-0.2758993792829430)), f344);
- f354 = MUL_C_R(COEF_CONST(0.8314696123025452), f352);
- f355 = MUL_C_R(COEF_CONST(1.3870398453221475), f341);
- f356 = f353 + f354;
- f357 = f355 - f354;
- f358 = f335 - f350;
- f359 = f335 + f350;
- f360 = f337 - f356;
- f361 = f337 + f356;
- f362 = f336 - f357;
- f363 = f336 + f357;
- f364 = f334 - f351;
- f365 = f334 + f351;
- f366 = MUL_C_R(COEF_CONST(5.1011486186891641), f296);
- f367 = MUL_C_R(COEF_CONST(1.7224470982383342), f300);
- f368 = MUL_C_R(COEF_CONST(1.0606776859903475), f304);
- f369 = MUL_C_R(COEF_CONST(0.7881546234512502), f308);
- f370 = MUL_C_R(COEF_CONST(0.5024192861881557), f324);
- f371 = MUL_C_R(COEF_CONST(0.5224986149396889), f320);
- f372 = MUL_C_R(COEF_CONST(0.5669440348163577), f316);
- f373 = MUL_C_R(COEF_CONST(0.6468217833599901), f312);
- f374 = f366 - f370;
- f375 = f366 + f370;
- f376 = f367 - f371;
- f377 = f367 + f371;
- f378 = f368 - f372;
- f379 = f368 + f372;
- f380 = f369 - f373;
- f381 = f369 + f373;
- f382 = MUL_C_R(COEF_CONST(0.5097955791041592), f375);
- f383 = MUL_C_R(COEF_CONST(0.6013448869350453), f377);
- f384 = MUL_C_R(COEF_CONST(0.8999762231364156), f379);
- f385 = MUL_C_R(COEF_CONST(2.5629154477415055), f381);
- f386 = f382 + f385;
- f387 = f382 - f385;
- f388 = f383 + f384;
- f389 = f384 - f383;
- f390 = f387 - f389;
- f391 = f387 + f389;
- f392 = MUL_C_R(COEF_CONST(0.7071067811865476), f390);
- f393 = f386 - f388;
- f394 = MUL_C_R(COEF_CONST(1.3065629648763766), f386);
- f395 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f393);
- f396 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f388);
- f397 = f394 + f395;
- f398 = f395 + f396;
- f399 = f391 - f398;
- f400 = f392 - f398;
- f401 = f392 + f397;
- f402 = f380 - f374;
- f403 = f374 + f380;
- f404 = f378 - f376;
- f405 = f376 + f378;
- f406 = f403 + f405;
- f407 = MUL_C_R(COEF_CONST(1.3065629648763770), f403);
- f408 = MUL_C_R(COEF_CONST((-0.3826834323650904)), f406);
- f409 = MUL_C_R(COEF_CONST(0.5411961001461961), f405);
- f410 = f407 + f408;
- f411 = f408 - f409;
- f412 = f402 - f404;
- f413 = f402 + f404;
- f414 = MUL_C_R(COEF_CONST(0.7071067811865476), f413);
- f415 = f411 + f397;
- f416 = f401 + f411;
- f417 = f414 + f401;
- f418 = f400 + f414;
- f419 = f400 - f410;
- f420 = f399 - f410;
- f421 = f412 + f399;
- f422 = f359 - f397;
- f423 = f359 + f397;
- f424 = f361 + f415;
- f425 = f361 - f415;
- f426 = f363 - f416;
- f427 = f363 + f416;
- f428 = f365 + f417;
- f429 = f365 - f417;
- f430 = f364 - f418;
- f431 = f364 + f418;
- f432 = f362 + f419;
- f433 = f362 - f419;
- f434 = f360 - f420;
- f435 = f360 + f420;
- f436 = f358 + f421;
- f437 = f358 - f421;
- f438 = MUL_C_R(COEF_CONST(5.1011486186891641), f295);
- f439 = MUL_C_R(COEF_CONST(1.7224470982383342), f299);
- f440 = MUL_C_R(COEF_CONST(1.0606776859903475), f303);
- f441 = MUL_C_R(COEF_CONST(0.7881546234512502), f307);
- f442 = MUL_C_R(COEF_CONST(0.5024192861881557), f323);
- f443 = MUL_C_R(COEF_CONST(0.5224986149396889), f319);
- f444 = MUL_C_R(COEF_CONST(0.5669440348163577), f315);
- f445 = MUL_C_R(COEF_CONST(0.6468217833599901), f311);
- f446 = f438 + f442;
- f447 = f438 - f442;
- f448 = f439 + f443;
- f449 = f443 - f439;
- f450 = f440 + f444;
- f451 = f440 - f444;
- f452 = f441 + f445;
- f453 = f445 - f441;
- f454 = MUL_C_R(COEF_CONST(0.5097955791041592), f447);
- f455 = MUL_C_R(COEF_CONST(0.6013448869350453), f449);
- f456 = MUL_C_R(COEF_CONST(0.8999762231364156), f451);
- f457 = MUL_C_R(COEF_CONST(2.5629154477415055), f453);
- f458 = f454 + f457;
- f459 = f454 - f457;
- f460 = f455 + f456;
- f461 = f456 - f455;
- f462 = f459 - f461;
- f463 = f459 + f461;
- f464 = MUL_C_R(COEF_CONST(0.7071067811865476), f462);
- f465 = f458 - f460;
- f466 = MUL_C_R(COEF_CONST(1.3065629648763766), f458);
- f467 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f465);
- f468 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f460);
- f469 = f466 + f467;
- f470 = f467 + f468;
- f471 = f463 - f470;
- f472 = f464 - f470;
- f473 = f464 + f469;
- f474 = f446 + f452;
- f475 = f452 - f446;
- f476 = f448 + f450;
- f477 = f448 - f450;
- f478 = f475 + f477;
- f479 = MUL_C_R(COEF_CONST(1.3065629648763770), f475);
- f480 = MUL_C_R(COEF_CONST((-0.3826834323650904)), f478);
- f481 = MUL_C_R(COEF_CONST(0.5411961001461961), f477);
- f482 = f479 + f480;
- f483 = f481 - f480;
- f484 = f474 + f476;
- f485 = f476 - f474;
- f486 = MUL_C_R(COEF_CONST(0.7071067811865476), f485);
- f487 = f483 + f469;
- f488 = f473 + f483;
- f489 = f486 + f473;
- f490 = f472 + f486;
- f491 = f482 + f472;
- f492 = f471 + f482;
- f493 = f471 - f484;
- f494 = MUL_C_R(COEF_CONST(0.7071067811865476), f309);
- f495 = t2[63] - f494;
- f496 = t2[63] + f494;
- f497 = f317 + f301;
- f498 = MUL_C_R(COEF_CONST(1.3065629648763766), f317);
- f499 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f497);
- f500 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f301);
- f501 = f498 + f499;
- f502 = f500 - f499;
- f503 = f496 - f502;
- f504 = f496 + f502;
- f505 = f495 - f501;
- f506 = f495 + f501;
- f507 = MUL_C_R(COEF_CONST(0.5097955791041592), f321);
- f508 = MUL_C_R(COEF_CONST(0.6013448869350453), f313);
- f509 = MUL_C_R(COEF_CONST(0.8999762231364156), f305);
- f510 = MUL_C_R(COEF_CONST(2.5629154477415055), f297);
- f511 = f507 - f510;
- f512 = f507 + f510;
- f513 = f508 - f509;
- f514 = f508 + f509;
- f515 = f512 - f514;
- f516 = f512 + f514;
- f517 = MUL_C_R(COEF_CONST(0.7071067811865476), f515);
- f518 = f511 + f513;
- f519 = MUL_C_R(COEF_CONST(1.3065629648763766), f511);
- f520 = MUL_C_R(COEF_CONST((-0.9238795325112866)), f518);
- f521 = MUL_C_R(COEF_CONST((-0.5411961001461967)), f513);
- f522 = f519 + f520;
- f523 = f521 - f520;
- f524 = f516 + f523;
- f525 = f523 + f517;
- f526 = f517 + f522;
- f527 = f504 - f524;
- f528 = f504 + f524;
- f529 = f506 - f525;
- f530 = f506 + f525;
- f531 = f505 - f526;
- f532 = f505 + f526;
- f533 = f503 - f522;
- f534 = f503 + f522;
- f535 = f493 + f528;
- f536 = f528 - f493;
- f537 = f492 + f530;
- f538 = f492 - f530;
- f539 = f491 + f532;
- f540 = f532 - f491;
- f541 = f490 + f534;
- f542 = f490 - f534;
- f543 = f489 + f533;
- f544 = f533 - f489;
- f545 = f488 + f531;
- f546 = f488 - f531;
- f547 = f487 + f529;
- f548 = f529 - f487;
- f549 = f469 + f527;
- f550 = f469 - f527;
- f551 = f536 + f423;
- f552 = MUL_C_R(COEF_CONST((-0.9751575901732920)), f536);
- f553 = MUL_C_R(COEF_CONST(0.9996988186962043), f551);
- f554 = MUL_C_R(COEF_CONST(1.0242400472191164), f423);
- y[1] = f552 + f553;
- y[63] = f554 - f553;
- f557 = f538 + f425;
- f558 = MUL_C_R(COEF_CONST((-0.9237258930790228)), f538);
- f559 = MUL_C_R(COEF_CONST(0.9972904566786902), f557);
- f560 = MUL_C_R(COEF_CONST(1.0708550202783576), f425);
- y[3] = f558 + f559;
- y[61] = f560 - f559;
- f563 = f540 + f427;
- f564 = MUL_C_R(COEF_CONST((-0.8700688593994936)), f540);
- f565 = MUL_C_R(COEF_CONST(0.9924795345987100), f563);
- f566 = MUL_C_R(COEF_CONST(1.1148902097979263), f427);
- y[5] = f564 + f565;
- y[59] = f566 - f565;
- f569 = f542 + f429;
- f570 = MUL_C_R(COEF_CONST((-0.8143157536286398)), f542);
- f571 = MUL_C_R(COEF_CONST(0.9852776423889412), f569);
- f572 = MUL_C_R(COEF_CONST(1.1562395311492426), f429);
- y[7] = f570 + f571;
- y[57] = f572 - f571;
- f575 = f544 + f431;
- f576 = MUL_C_R(COEF_CONST((-0.7566008898816587)), f544);
- f577 = MUL_C_R(COEF_CONST(0.9757021300385286), f575);
- f578 = MUL_C_R(COEF_CONST(1.1948033701953984), f431);
- y[9] = f576 + f577;
- y[55] = f578 - f577;
- f581 = f546 + f433;
- f582 = MUL_C_R(COEF_CONST((-0.6970633083205414)), f546);
- f583 = MUL_C_R(COEF_CONST(0.9637760657954398), f581);
- f584 = MUL_C_R(COEF_CONST(1.2304888232703384), f433);
- y[11] = f582 + f583;
- y[53] = f584 - f583;
- f587 = f548 + f435;
- f588 = MUL_C_R(COEF_CONST((-0.6358464401941451)), f548);
- f589 = MUL_C_R(COEF_CONST(0.9495281805930367), f587);
- f590 = MUL_C_R(COEF_CONST(1.2632099209919283), f435);
- y[13] = f588 + f589;
- y[51] = f590 - f589;
- f593 = f550 + f437;
- f594 = MUL_C_R(COEF_CONST((-0.5730977622997506)), f550);
- f595 = MUL_C_R(COEF_CONST(0.9329927988347389), f593);
- f596 = MUL_C_R(COEF_CONST(1.2928878353697271), f437);
- y[15] = f594 + f595;
- y[49] = f596 - f595;
- f599 = f549 + f436;
- f600 = MUL_C_R(COEF_CONST((-0.5089684416985408)), f549);
- f601 = MUL_C_R(COEF_CONST(0.9142097557035307), f599);
- f602 = MUL_C_R(COEF_CONST(1.3194510697085207), f436);
- y[17] = f600 + f601;
- y[47] = f602 - f601;
- f605 = f434 - f547;
- f606 = MUL_C_R(COEF_CONST((-0.4436129715409087)), f547);
- f607 = MUL_C_R(COEF_CONST(0.8932243011955153), f605);
- f608 = MUL_C_R(COEF_CONST(1.3428356308501219), f434);
- y[19] = f607 - f606;
- y[45] = f608 - f607;
- f611 = f545 + f432;
- f612 = MUL_C_R(COEF_CONST((-0.3771887988789273)), f545);
- f613 = MUL_C_R(COEF_CONST(0.8700869911087114), f611);
- f614 = MUL_C_R(COEF_CONST(1.3629851833384954), f432);
- y[21] = f612 + f613;
- y[43] = f614 - f613;
- f617 = f430 - f543;
- f618 = MUL_C_R(COEF_CONST((-0.3098559453626097)), f543);
- f619 = MUL_C_R(COEF_CONST(0.8448535652497070), f617);
- f620 = MUL_C_R(COEF_CONST(1.3798511851368043), f430);
- y[23] = f619 - f618;
- y[41] = f620 - f619;
- f623 = f541 + f428;
- f624 = MUL_C_R(COEF_CONST((-0.2417766217337384)), f541);
- f625 = MUL_C_R(COEF_CONST(0.8175848131515837), f623);
- f626 = MUL_C_R(COEF_CONST(1.3933930045694289), f428);
- y[25] = f624 + f625;
- y[39] = f626 - f625;
- f629 = f426 - f539;
- f630 = MUL_C_R(COEF_CONST((-0.1731148370459794)), f539);
- f631 = MUL_C_R(COEF_CONST(0.7883464276266062), f629);
- f632 = MUL_C_R(COEF_CONST(1.4035780182072330), f426);
- y[27] = f631 - f630;
- y[37] = f632 - f631;
- f635 = f537 + f424;
- f636 = MUL_C_R(COEF_CONST((-0.1040360035527077)), f537);
- f637 = MUL_C_R(COEF_CONST(0.7572088465064845), f635);
- f638 = MUL_C_R(COEF_CONST(1.4103816894602612), f424);
- y[29] = f636 + f637;
- y[35] = f638 - f637;
- f641 = f422 - f535;
- f642 = MUL_C_R(COEF_CONST((-0.0347065382144000)), f535);
- f643 = MUL_C_R(COEF_CONST(0.7242470829514669), f641);
- f644 = MUL_C_R(COEF_CONST(1.4137876276885337), f422);
- y[31] = f643 - f642;
- y[33] = f644 - f643;
+ f71 = f50 + f56;
+ f72 = MUL_C(COEF_CONST(1.1758756024193588), f50);
+ f73 = MUL_C(COEF_CONST((-0.9807852804032304)), f71);
+ f74 = MUL_C(COEF_CONST((-0.7856949583871021)), f56);
+ f75 = f72 + f73;
+ f76 = f74 - f73;
+ f77 = f52 + f54;
+ f78 = MUL_C(COEF_CONST(1.3870398453221473), f52);
+ f79 = MUL_C(COEF_CONST((-0.8314696123025455)), f77);
+ f80 = MUL_C(COEF_CONST((-0.2758993792829436)), f54);
+ f81 = f78 + f79;
+ f82 = f80 - f79;
+ f83 = f76 - f82;
+ y[8] = f76 + f82;
+ f85 = MUL_C(COEF_CONST(0.7071067811865476), f83);
+ y[56] = f75 - f81;
+ f87 = f75 + f81;
+ f88 = MUL_C(COEF_CONST(0.7071067811865476), f87);
+ y[40] = f85 - f88;
+ y[24] = f85 + f88;
+ f91 = f36 - f38;
+ f92 = f36 + f38;
+ f93 = f40 - f42;
+ f94 = f40 + f42;
+ f95 = f44 - f46;
+ f96 = f44 + f46;
+ f97 = MUL_C(COEF_CONST(0.7071067811865476), f94);
+ f98 = f34 - f97;
+ f99 = f34 + f97;
+ f100 = f92 + f96;
+ f101 = MUL_C(COEF_CONST(1.3065629648763766), f92);
+ f102 = MUL_C(COEF_CONST((-0.9238795325112866)), f100);
+ f103 = MUL_C(COEF_CONST((-0.5411961001461967)), f96);
+ f104 = f101 + f102;
+ f105 = f103 - f102;
+ f106 = f99 - f105;
+ f107 = f99 + f105;
+ f108 = f98 - f104;
+ f109 = f98 + f104;
+ f110 = f91 + f95;
+ f111 = MUL_C(COEF_CONST(1.3065629648763770), f91);
+ f112 = MUL_C(COEF_CONST((-0.3826834323650904)), f110);
+ f113 = MUL_C(COEF_CONST(0.5411961001461961), f95);
+ f114 = f111 + f112;
+ f115 = f113 - f112;
+ f116 = MUL_C(COEF_CONST(0.7071067811865476), f93);
+ f117 = f116 - f48;
+ f118 = f116 + f48;
+ f119 = f115 - f118;
+ f120 = f115 + f118;
+ f121 = f114 - f117;
+ f122 = f114 + f117;
+ f123 = f120 + f107;
+ f124 = MUL_C(COEF_CONST((-0.8971675863426361)), f120);
+ f125 = MUL_C(COEF_CONST(0.9951847266721968), f123);
+ f126 = MUL_C(COEF_CONST(1.0932018670017576), f107);
+ y[4] = f124 + f125;
+ y[60] = f126 - f125;
+ f129 = f122 + f109;
+ f130 = MUL_C(COEF_CONST((-0.6666556584777466)), f122);
+ f131 = MUL_C(COEF_CONST(0.9569403357322089), f129);
+ f132 = MUL_C(COEF_CONST(1.2472250129866713), f109);
+ y[12] = f130 + f131;
+ y[52] = f132 - f131;
+ f135 = f121 + f108;
+ f136 = MUL_C(COEF_CONST((-0.4105245275223571)), f121);
+ f137 = MUL_C(COEF_CONST(0.8819212643483549), f135);
+ f138 = MUL_C(COEF_CONST(1.3533180011743529), f108);
+ y[20] = f136 + f137;
+ y[44] = f138 - f137;
+ f141 = f119 + f106;
+ f142 = MUL_C(COEF_CONST((-0.1386171691990915)), f119);
+ f143 = MUL_C(COEF_CONST(0.7730104533627370), f141);
+ f144 = MUL_C(COEF_CONST(1.4074037375263826), f106);
+ y[28] = f142 + f143;
+ y[36] = f144 - f143;
+ f147 = f16 - f18;
+ f148 = f16 + f18;
+ f149 = MUL_C(COEF_CONST(0.7071067811865476), f148);
+ f150 = MUL_C(COEF_CONST(0.7071067811865476), f147);
+ f151 = f10 - f24;
+ f152 = f10 + f24;
+ f153 = MUL_C(COEF_CONST(0.7071067811865476), f152);
+ f154 = MUL_C(COEF_CONST(0.7071067811865476), f151);
+ f155 = f14 - f20;
+ f156 = f14 + f20;
+ f157 = MUL_C(COEF_CONST(0.7071067811865476), f156);
+ f158 = MUL_C(COEF_CONST(0.7071067811865476), f155);
+ f159 = f12 - f22;
+ f160 = f12 + f22;
+ f161 = MUL_C(COEF_CONST(0.7071067811865476), f160);
+ f162 = MUL_C(COEF_CONST(0.7071067811865476), f159);
+ f163 = f2 - f149;
+ f164 = f2 + f149;
+ f165 = f32 - f150;
+ f166 = f32 + f150;
+ f167 = f8 - f153;
+ f168 = f8 + f153;
+ f169 = f26 - f154;
+ f170 = f26 + f154;
+ f171 = f4 - f157;
+ f172 = f4 + f157;
+ f173 = f30 - f158;
+ f174 = f30 + f158;
+ f175 = f6 - f161;
+ f176 = f6 + f161;
+ f177 = f28 - f162;
+ f178 = f28 + f162;
+ f179 = f170 + f168;
+ f180 = MUL_C(COEF_CONST((-0.5411961001461969)), f170);
+ f181 = MUL_C(COEF_CONST(0.9238795325112867), f179);
+ f182 = MUL_C(COEF_CONST(1.3065629648763766), f168);
+ f183 = f180 + f181;
+ f184 = f182 - f181;
+ f185 = f169 + f167;
+ f186 = MUL_C(COEF_CONST(1.3065629648763770), f169);
+ f187 = MUL_C(COEF_CONST((-0.3826834323650904)), f185);
+ f188 = MUL_C(COEF_CONST(0.5411961001461961), f167);
+ f189 = f186 + f187;
+ f190 = f188 - f187;
+ f191 = f178 + f176;
+ f192 = MUL_C(COEF_CONST((-0.5411961001461969)), f178);
+ f193 = MUL_C(COEF_CONST(0.9238795325112867), f191);
+ f194 = MUL_C(COEF_CONST(1.3065629648763766), f176);
+ f195 = f192 + f193;
+ f196 = f194 - f193;
+ f197 = f177 + f175;
+ f198 = MUL_C(COEF_CONST(1.3065629648763770), f177);
+ f199 = MUL_C(COEF_CONST((-0.3826834323650904)), f197);
+ f200 = MUL_C(COEF_CONST(0.5411961001461961), f175);
+ f201 = f198 + f199;
+ f202 = f200 - f199;
+ f203 = f164 - f183;
+ f204 = f164 + f183;
+ f205 = f166 - f184;
+ f206 = f166 + f184;
+ f207 = f163 - f189;
+ f208 = f163 + f189;
+ f209 = f165 - f190;
+ f210 = f165 + f190;
+ f211 = f172 - f195;
+ f212 = f172 + f195;
+ f213 = f174 - f196;
+ f214 = f174 + f196;
+ f215 = f171 - f201;
+ f216 = f171 + f201;
+ f217 = f173 - f202;
+ f218 = f173 + f202;
+ f219 = f214 + f212;
+ f220 = MUL_C(COEF_CONST((-0.7856949583871021)), f214);
+ f221 = MUL_C(COEF_CONST(0.9807852804032304), f219);
+ f222 = MUL_C(COEF_CONST(1.1758756024193588), f212);
+ f223 = f220 + f221;
+ f224 = f222 - f221;
+ f225 = f218 + f216;
+ f226 = MUL_C(COEF_CONST(0.2758993792829431), f218);
+ f227 = MUL_C(COEF_CONST(0.5555702330196022), f225);
+ f228 = MUL_C(COEF_CONST(1.3870398453221475), f216);
+ f229 = f226 + f227;
+ f230 = f228 - f227;
+ f231 = f213 + f211;
+ f232 = MUL_C(COEF_CONST(1.1758756024193591), f213);
+ f233 = MUL_C(COEF_CONST((-0.1950903220161287)), f231);
+ f234 = MUL_C(COEF_CONST(0.7856949583871016), f211);
+ f235 = f232 + f233;
+ f236 = f234 - f233;
+ f237 = f217 + f215;
+ f238 = MUL_C(COEF_CONST(1.3870398453221473), f217);
+ f239 = MUL_C(COEF_CONST((-0.8314696123025455)), f237);
+ f240 = MUL_C(COEF_CONST((-0.2758993792829436)), f215);
+ f241 = f238 + f239;
+ f242 = f240 - f239;
+ f243 = f204 - f223;
+ f244 = f204 + f223;
+ f245 = f206 - f224;
+ f246 = f206 + f224;
+ f247 = f208 - f229;
+ f248 = f208 + f229;
+ f249 = f210 - f230;
+ f250 = f210 + f230;
+ f251 = f203 - f235;
+ f252 = f203 + f235;
+ f253 = f205 - f236;
+ f254 = f205 + f236;
+ f255 = f207 - f241;
+ f256 = f207 + f241;
+ f257 = f209 - f242;
+ f258 = f209 + f242;
+ f259 = f246 + f244;
+ f260 = MUL_C(COEF_CONST((-0.9497277818777543)), f246);
+ f261 = MUL_C(COEF_CONST(0.9987954562051724), f259);
+ f262 = MUL_C(COEF_CONST(1.0478631305325905), f244);
+ y[2] = f260 + f261;
+ y[62] = f262 - f261;
+ f265 = f250 + f248;
+ f266 = MUL_C(COEF_CONST((-0.7270510732912801)), f250);
+ f267 = MUL_C(COEF_CONST(0.9700312531945440), f265);
+ f268 = MUL_C(COEF_CONST(1.2130114330978079), f248);
+ y[10] = f266 + f267;
+ y[54] = f268 - f267;
+ f271 = f254 + f252;
+ f272 = MUL_C(COEF_CONST((-0.4764341996931611)), f254);
+ f273 = MUL_C(COEF_CONST(0.9039892931234433), f271);
+ f274 = MUL_C(COEF_CONST(1.3315443865537255), f252);
+ y[18] = f272 + f273;
+ y[46] = f274 - f273;
+ f277 = f258 + f256;
+ f278 = MUL_C(COEF_CONST((-0.2075082269882114)), f258);
+ f279 = MUL_C(COEF_CONST(0.8032075314806448), f277);
+ f280 = MUL_C(COEF_CONST(1.3989068359730783), f256);
+ y[26] = f278 + f279;
+ y[38] = f280 - f279;
+ f283 = f245 + f243;
+ f284 = MUL_C(COEF_CONST(0.0693921705079408), f245);
+ f285 = MUL_C(COEF_CONST(0.6715589548470183), f283);
+ f286 = MUL_C(COEF_CONST(1.4125100802019774), f243);
+ y[34] = f284 + f285;
+ y[30] = f286 - f285;
+ f289 = f249 + f247;
+ f290 = MUL_C(COEF_CONST(0.3436258658070505), f249);
+ f291 = MUL_C(COEF_CONST(0.5141027441932217), f289);
+ f292 = MUL_C(COEF_CONST(1.3718313541934939), f247);
+ y[42] = f290 + f291;
+ y[22] = f292 - f291;
+ f295 = f253 + f251;
+ f296 = MUL_C(COEF_CONST(0.6046542117908007), f253);
+ f297 = MUL_C(COEF_CONST(0.3368898533922201), f295);
+ f298 = MUL_C(COEF_CONST(1.2784339185752409), f251);
+ y[50] = f296 + f297;
+ y[14] = f298 - f297;
+ f301 = f257 + f255;
+ f302 = MUL_C(COEF_CONST(0.8424460355094192), f257);
+ f303 = MUL_C(COEF_CONST(0.1467304744553618), f301);
+ f304 = MUL_C(COEF_CONST(1.1359069844201428), f255);
+ y[58] = f302 + f303;
+ y[6] = f304 - f303;
+ f307 = t2[1] + t2[63];
+ f308 = MUL_C(COEF_CONST(1.0242400472191162), t2[1]);
+ f309 = MUL_C(COEF_CONST((-0.9996988186962043)), f307);
+ f310 = MUL_C(COEF_CONST((-0.9751575901732922)), t2[63]);
+ f311 = f308 + f309;
+ f312 = f310 - f309;
+ f313 = t2[3] + t2[61];
+ f314 = MUL_C(COEF_CONST(1.0708550202783571),t2[3]);
+ f315 = MUL_C(COEF_CONST((-0.9972904566786902)), f313);
+ f316 = MUL_C(COEF_CONST((-0.9237258930790232)), t2[61]);
+ f317 = f314 + f315;
+ f318 = f316 - f315;
+ f319 = t2[5] + t2[59];
+ f320 = MUL_C(COEF_CONST(1.1148902097979256), t2[5]);
+ f321 = MUL_C(COEF_CONST((-0.9924795345987101)), f319);
+ f322 = MUL_C(COEF_CONST((-0.8700688593994945)), t2[59]);
+ f323 = f320 + f321;
+ f324 = f322 - f321;
+ f325 = t2[7] + t2[57];
+ f326 = MUL_C(COEF_CONST(1.1562395311492426), t2[7]);
+ f327 = MUL_C(COEF_CONST((-0.9852776423889412)), f325);
+ f328 = MUL_C(COEF_CONST((-0.8143157536286398)), t2[57]);
+ f329 = f326 + f327;
+ f330 = f328 - f327;
+ f331 = t2[9] + t2[55];
+ f332 = MUL_C(COEF_CONST(1.1948033701953984), t2[9]);
+ f333 = MUL_C(COEF_CONST((-0.9757021300385286)), f331);
+ f334 = MUL_C(COEF_CONST((-0.7566008898816589)), t2[55]);
+ f335 = f332 + f333;
+ f336 = f334 - f333;
+ f337 = t2[11] + t2[53];
+ f338 = MUL_C(COEF_CONST(1.2304888232703382), t2[11]);
+ f339 = MUL_C(COEF_CONST((-0.9637760657954400)), f337);
+ f340 = MUL_C(COEF_CONST((-0.6970633083205418)), t2[53]);
+ f341 = f338 + f339;
+ f342 = f340 - f339;
+ f343 = t2[13] + t2[51];
+ f344 = MUL_C(COEF_CONST(1.2632099209919279), t2[13]);
+ f345 = MUL_C(COEF_CONST((-0.9495281805930368)), f343);
+ f346 = MUL_C(COEF_CONST((-0.6358464401941457)), t2[51]);
+ f347 = f344 + f345;
+ f348 = f346 - f345;
+ f349 = t2[15] + t2[49];
+ f350 = MUL_C(COEF_CONST(1.2928878353697266), t2[15]);
+ f351 = MUL_C(COEF_CONST((-0.9329927988347391)), f349);
+ f352 = MUL_C(COEF_CONST((-0.5730977622997515)), t2[49]);
+ f353 = f350 + f351;
+ f354 = f352 - f351;
+ f355 = t2[17] + t2[47];
+ f356 = MUL_C(COEF_CONST(1.3194510697085207), t2[17]);
+ f357 = MUL_C(COEF_CONST((-0.9142097557035306)), f355);
+ f358 = MUL_C(COEF_CONST((-0.5089684416985405)), t2[47]);
+ f359 = f356 + f357;
+ f360 = f358 - f357;
+ f361 = t2[19] + t2[45];
+ f362 = MUL_C(COEF_CONST(1.3428356308501219), t2[19]);
+ f363 = MUL_C(COEF_CONST((-0.8932243011955153)), f361);
+ f364 = MUL_C(COEF_CONST((-0.4436129715409087)), t2[45]);
+ f365 = f362 + f363;
+ f366 = f364 - f363;
+ f367 = t2[21] + t2[43];
+ f368 = MUL_C(COEF_CONST(1.3629851833384954), t2[21]);
+ f369 = MUL_C(COEF_CONST((-0.8700869911087115)), f367);
+ f370 = MUL_C(COEF_CONST((-0.3771887988789276)), t2[43]);
+ f371 = f368 + f369;
+ f372 = f370 - f369;
+ f373 = t2[23] + t2[41];
+ f374 = MUL_C(COEF_CONST(1.3798511851368040), t2[23]);
+ f375 = MUL_C(COEF_CONST((-0.8448535652497072)), f373);
+ f376 = MUL_C(COEF_CONST((-0.3098559453626103)), t2[41]);
+ f377 = f374 + f375;
+ f378 = f376 - f375;
+ f379 = t2[25] + t2[39];
+ f380 = MUL_C(COEF_CONST(1.3933930045694289), t2[25]);
+ f381 = MUL_C(COEF_CONST((-0.8175848131515840)), f379);
+ f382 = MUL_C(COEF_CONST((-0.2417766217337392)), t2[39]);
+ f383 = f380 + f381;
+ f384 = f382 - f381;
+ f385 = t2[27] + t2[37];
+ f386 = MUL_C(COEF_CONST(1.4035780182072330), t2[27]);
+ f387 = MUL_C(COEF_CONST((-0.7883464276266061)), f385);
+ f388 = MUL_C(COEF_CONST((-0.1731148370459791)), t2[37]);
+ f389 = f386 + f387;
+ f390 = f388 - f387;
+ f391 = t2[29] + t2[35];
+ f392 = MUL_C(COEF_CONST(1.4103816894602614), t2[29]);
+ f393 = MUL_C(COEF_CONST((-0.7572088465064846)), f391);
+ f394 = MUL_C(COEF_CONST((-0.1040360035527078)), t2[35]);
+ f395 = f392 + f393;
+ f396 = f394 - f393;
+ f397 = t2[31] + t2[33];
+ f398 = MUL_C(COEF_CONST(1.4137876276885337), t2[31]);
+ f399 = MUL_C(COEF_CONST((-0.7242470829514670)), f397);
+ f400 = MUL_C(COEF_CONST((-0.0347065382144002)), t2[33]);
+ f401 = f398 + f399;
+ f402 = f400 - f399;
+ f403 = f312 - f402;
+ f404 = f312 + f402;
+ f405 = f318 - f396;
+ f406 = f318 + f396;
+ f407 = f324 - f390;
+ f408 = f324 + f390;
+ f409 = f330 - f384;
+ f410 = f330 + f384;
+ f411 = f336 - f378;
+ f412 = f336 + f378;
+ f413 = f342 - f372;
+ f414 = f342 + f372;
+ f415 = f348 - f366;
+ f416 = f348 + f366;
+ f417 = f354 - f360;
+ f418 = f354 + f360;
+ f419 = f404 - f418;
+ f420 = f404 + f418;
+ f421 = f406 - f416;
+ f422 = f406 + f416;
+ f423 = f408 - f414;
+ f424 = f408 + f414;
+ f425 = f410 - f412;
+ f426 = f410 + f412;
+ f427 = f420 - f426;
+ f428 = f420 + f426;
+ f429 = f422 - f424;
+ f430 = f422 + f424;
+ f431 = f428 - f430;
+ y[1] = f428 + f430;
+ f433 = MUL_C(COEF_CONST(0.7071067811865476), f431);
+ f434 = f427 + f429;
+ f435 = MUL_C(COEF_CONST(1.3065629648763766), f427);
+ f436 = MUL_C(COEF_CONST((-0.9238795325112866)), f434);
+ f437 = MUL_C(COEF_CONST((-0.5411961001461967)), f429);
+ f438 = f435 + f436;
+ f439 = f437 - f436;
+ f440 = f419 + f425;
+ f441 = MUL_C(COEF_CONST(1.1758756024193588), f419);
+ f442 = MUL_C(COEF_CONST((-0.9807852804032304)), f440);
+ f443 = MUL_C(COEF_CONST((-0.7856949583871021)), f425);
+ f444 = f441 + f442;
+ f445 = f443 - f442;
+ f446 = f421 + f423;
+ f447 = MUL_C(COEF_CONST(1.3870398453221473), f421);
+ f448 = MUL_C(COEF_CONST((-0.8314696123025455)), f446);
+ f449 = MUL_C(COEF_CONST((-0.2758993792829436)), f423);
+ f450 = f447 + f448;
+ f451 = f449 - f448;
+ f452 = f445 - f451;
+ f453 = f445 + f451;
+ f454 = MUL_C(COEF_CONST(0.7071067811865476), f452);
+ f455 = f444 - f450;
+ f456 = f444 + f450;
+ f457 = MUL_C(COEF_CONST(0.7071067811865476), f456);
+ f458 = f454 - f457;
+ f459 = f454 + f457;
+ f460 = f405 - f407;
+ f461 = f405 + f407;
+ f462 = f409 - f411;
+ f463 = f409 + f411;
+ f464 = f413 - f415;
+ f465 = f413 + f415;
+ f466 = MUL_C(COEF_CONST(0.7071067811865476), f463);
+ f467 = f403 - f466;
+ f468 = f403 + f466;
+ f469 = f461 + f465;
+ f470 = MUL_C(COEF_CONST(1.3065629648763766), f461);
+ f471 = MUL_C(COEF_CONST((-0.9238795325112866)), f469);
+ f472 = MUL_C(COEF_CONST((-0.5411961001461967)), f465);
+ f473 = f470 + f471;
+ f474 = f472 - f471;
+ f475 = f468 - f474;
+ f476 = f468 + f474;
+ f477 = f467 - f473;
+ f478 = f467 + f473;
+ f479 = f460 + f464;
+ f480 = MUL_C(COEF_CONST(1.3065629648763770), f460);
+ f481 = MUL_C(COEF_CONST((-0.3826834323650904)), f479);
+ f482 = MUL_C(COEF_CONST(0.5411961001461961), f464);
+ f483 = f480 + f481;
+ f484 = f482 - f481;
+ f485 = MUL_C(COEF_CONST(0.7071067811865476), f462);
+ f486 = f485 - f417;
+ f487 = f485 + f417;
+ f488 = f484 - f487;
+ f489 = f484 + f487;
+ f490 = f483 - f486;
+ f491 = f483 + f486;
+ f492 = f489 + f476;
+ f493 = MUL_C(COEF_CONST((-0.8971675863426361)), f489);
+ f494 = MUL_C(COEF_CONST(0.9951847266721968), f492);
+ f495 = MUL_C(COEF_CONST(1.0932018670017576), f476);
+ f496 = f493 + f494;
+ f497 = f495 - f494;
+ f498 = f491 + f478;
+ f499 = MUL_C(COEF_CONST((-0.6666556584777466)), f491);
+ f500 = MUL_C(COEF_CONST(0.9569403357322089), f498);
+ f501 = MUL_C(COEF_CONST(1.2472250129866713), f478);
+ f502 = f499 + f500;
+ f503 = f501 - f500;
+ f504 = f490 + f477;
+ f505 = MUL_C(COEF_CONST((-0.4105245275223571)), f490);
+ f506 = MUL_C(COEF_CONST(0.8819212643483549), f504);
+ f507 = MUL_C(COEF_CONST(1.3533180011743529), f477);
+ f508 = f505 + f506;
+ f509 = f507 - f506;
+ f510 = f488 + f475;
+ f511 = MUL_C(COEF_CONST((-0.1386171691990915)), f488);
+ f512 = MUL_C(COEF_CONST(0.7730104533627370), f510);
+ f513 = MUL_C(COEF_CONST(1.4074037375263826), f475);
+ f514 = f511 + f512;
+ f515 = f513 - f512;
+ f516 = f311 + f401;
+ f517 = f311 - f401;
+ f518 = f317 + f395;
+ f519 = f395 - f317;
+ f520 = f323 + f389;
+ f521 = f323 - f389;
+ f522 = f329 + f383;
+ f523 = f383 - f329;
+ f524 = f335 + f377;
+ f525 = f335 - f377;
+ f526 = f341 + f371;
+ f527 = f371 - f341;
+ f528 = f347 + f365;
+ f529 = f347 - f365;
+ f530 = f353 + f359;
+ f531 = f359 - f353;
+ f532 = f517 - f531;
+ f533 = f517 + f531;
+ f534 = f519 - f529;
+ f535 = f519 + f529;
+ f536 = f521 - f527;
+ f537 = f521 + f527;
+ f538 = f523 - f525;
+ f539 = f523 + f525;
+ f540 = f533 - f539;
+ f541 = f533 + f539;
+ f542 = f535 - f537;
+ f543 = f535 + f537;
+ f544 = f541 - f543;
+ y[63] = f541 + f543;
+ f546 = MUL_C(COEF_CONST(0.7071067811865476), f544);
+ f547 = f540 + f542;
+ f548 = MUL_C(COEF_CONST(1.3065629648763766), f540);
+ f549 = MUL_C(COEF_CONST((-0.9238795325112866)), f547);
+ f550 = MUL_C(COEF_CONST((-0.5411961001461967)), f542);
+ f551 = f548 + f549;
+ f552 = f550 - f549;
+ f553 = f532 + f538;
+ f554 = MUL_C(COEF_CONST(1.1758756024193588), f532);
+ f555 = MUL_C(COEF_CONST((-0.9807852804032304)), f553);
+ f556 = MUL_C(COEF_CONST((-0.7856949583871021)), f538);
+ f557 = f554 + f555;
+ f558 = f556 - f555;
+ f559 = f534 + f536;
+ f560 = MUL_C(COEF_CONST(1.3870398453221473), f534);
+ f561 = MUL_C(COEF_CONST((-0.8314696123025455)), f559);
+ f562 = MUL_C(COEF_CONST((-0.2758993792829436)), f536);
+ f563 = f560 + f561;
+ f564 = f562 - f561;
+ f565 = f558 - f564;
+ f566 = f558 + f564;
+ f567 = MUL_C(COEF_CONST(0.7071067811865476), f565);
+ f568 = f557 - f563;
+ f569 = f557 + f563;
+ f570 = MUL_C(COEF_CONST(0.7071067811865476), f569);
+ f571 = f567 - f570;
+ f572 = f567 + f570;
+ f573 = MUL_C(COEF_CONST(0.5024192861881557), f516);
+ f574 = MUL_C(COEF_CONST(0.5224986149396889), f518);
+ f575 = MUL_C(COEF_CONST(0.5669440348163577), f520);
+ f576 = MUL_C(COEF_CONST(0.6468217833599901), f522);
+ f577 = MUL_C(COEF_CONST(0.7881546234512502), f524);
+ f578 = MUL_C(COEF_CONST(1.0606776859903471), f526);
+ f579 = MUL_C(COEF_CONST(1.7224470982383342), f528);
+ f580 = MUL_C(COEF_CONST(5.1011486186891553), f530);
+ f581 = f573 + f580;
+ f582 = f573 - f580;
+ f583 = f574 + f579;
+ f584 = f579 - f574;
+ f585 = f575 + f578;
+ f586 = f575 - f578;
+ f587 = f576 + f577;
+ f588 = f577 - f576;
+ f589 = f582 - f588;
+ f590 = f582 + f588;
+ f591 = f584 - f586;
+ f592 = f584 + f586;
+ f593 = f590 - f592;
+ f594 = f590 + f592;
+ f595 = MUL_C(COEF_CONST(0.7071067811865476), f593);
+ f596 = f589 + f591;
+ f597 = MUL_C(COEF_CONST(1.3065629648763766), f589);
+ f598 = MUL_C(COEF_CONST((-0.9238795325112866)), f596);
+ f599 = MUL_C(COEF_CONST((-0.5411961001461967)), f591);
+ f600 = f597 + f598;
+ f601 = f599 - f598;
+ f602 = f583 + f585;
+ f603 = f585 - f583;
+ f604 = MUL_C(COEF_CONST(0.7071067811865476), f603);
+ f605 = MUL_C(COEF_CONST(0.7071067811865476), f602);
+ f606 = f581 - f604;
+ f607 = f581 + f604;
+ f608 = f605 - f587;
+ f609 = f587 + f605;
+ f610 = f607 - f609;
+ f611 = MUL_C(COEF_CONST((-0.7856949583871021)), f609);
+ f612 = MUL_C(COEF_CONST(0.9807852804032304), f610);
+ f613 = MUL_C(COEF_CONST(1.1758756024193588), f607);
+ f614 = f612 - f611;
+ f615 = f613 - f612;
+ f616 = f608 + f606;
+ f617 = MUL_C(COEF_CONST(0.2758993792829431), f608);
+ f618 = MUL_C(COEF_CONST(0.5555702330196022), f616);
+ f619 = MUL_C(COEF_CONST(1.3870398453221475), f606);
+ f620 = f617 + f618;
+ f621 = f619 - f618;
+ f622 = f594 + f614;
+ f623 = f614 + f601;
+ f624 = f601 + f621;
+ f625 = f621 + f595;
+ f626 = f595 + f620;
+ f627 = f620 + f600;
+ f628 = f600 + f615;
+ y[5] = f496 - f615;
+ y[3] = f496 + f615;
+ y[9] = f453 - f568;
+ y[7] = f453 + f568;
+ y[13] = f502 - f628;
+ y[11] = f502 + f628;
+ y[17] = f439 - f551;
+ y[15] = f439 + f551;
+ y[21] = f508 - f627;
+ y[19] = f508 + f627;
+ y[25] = f459 - f571;
+ y[23] = f459 + f571;
+ y[29] = f514 - f626;
+ y[27] = f514 + f626;
+ y[33] = f433 - f546;
+ y[31] = f433 + f546;
+ y[37] = f515 - f625;
+ y[35] = f515 + f625;
+ y[41] = f458 - f572;
+ y[39] = f458 + f572;
+ y[45] = f509 - f624;
+ y[43] = f509 + f624;
+ y[49] = f438 - f552;
+ y[47] = f438 + f552;
+ y[53] = f503 - f623;
+ y[51] = f503 + f623;
+ y[57] = f455 - f566;
+ y[55] = f455 + f566;
+ y[61] = f497 - f622;
+ y[59] = f497 + f622;
+}
+
+void DST2_64_unscaled(real_t *y, real_t *x)
+{
+ int16_t i0;
+ real_t f2, f3, f4, f5, f6, f7;
+ real_t f8, f9, f10, f11, f12, f13;
+ real_t f14, f15, f16, f17, f18, f19;
+ real_t f20, f21, f22, f23, f24, f25;
+ real_t f26, f27, f28, f29, f30, f31;
+ real_t f32, f33, f34, f35, f36, f37;
+ real_t f38, f39, f40, f41, f42, f43;
+ real_t f44, f45, f46, f47, f48, f49;
+ real_t f50, f51, f52, f53, f54, f55;
+ real_t f56, f57, f58, f59, f60, f61;
+ real_t f62, f63, f64, f65, f66, f67;
+ real_t f68, f69, f70, f71, f72, f73;
+ real_t f74, f75, f76, f77, f78, f79;
+ real_t f80, f81, f82, f83, f84, f85;
+ real_t f86, f87, f88, f89, f90, f91;
+ real_t f92, f93, f94, f95, f96, f97;
+ real_t f98, f99, f100, f101, f102, f103;
+ real_t f104, f105, f106, f107, f108, f109;
+ real_t f110, f111, f112, f113, f114, f115;
+ real_t f116, f117, f118, f119, f120, f121;
+ real_t f122, f123, f124, f125, f126, f127;
+ real_t f128, f129, f130, f131, f132, f133;
+ real_t f134, f135, f136, f137, f138, f139;
+ real_t f140, f141, f142, f143, f144, f145;
+ real_t f146, f147, f148, f149, f150, f151;
+ real_t f152, f153, f154, f155, f156, f157;
+ real_t f158, f159, f160, f161, f162, f163;
+ real_t f164, f165, f166, f167, f168, f169;
+ real_t f170, f171, f172, f173, f174, f175;
+ real_t f176, f177, f178, f179, f180, f181;
+ real_t f182, f183, f184, f185, f186, f187;
+ real_t f188, f189, f190, f191, f192, f193;
+ real_t f194, f195, f196, f197, f198, f199;
+ real_t f200, f201, f202, f203, f204, f205;
+ real_t f206, f207, f208, f209, f210, f211;
+ real_t f212, f213, f214, f215, f216, f217;
+ real_t f218, f219, f220, f221, f222, f223;
+ real_t f224, f225, f226, f227, f228, f229;
+ real_t f230, f231, f232, f233, f234, f235;
+ real_t f236, f237, f238, f239, f240, f241;
+ real_t f242, f243, f244, f245, f246, f247;
+ real_t f248, f249, f250, f251, f252, f253;
+ real_t f254, f255, f256, f257, f258, f259;
+ real_t f260, f261, f264, f265, f266, f267;
+ real_t f270, f271, f272, f273, f276, f277;
+ real_t f278, f279, f282, f283, f284, f285;
+ real_t f288, f289, f290, f291, f294, f295;
+ real_t f296, f297, f300, f301, f302, f303;
+ real_t f306, f307, f308, f309, f312, f313;
+ real_t f314, f315, f318, f319, f320, f321;
+ real_t f324, f325, f326, f327, f330, f331;
+ real_t f332, f333, f336, f337, f338, f339;
+ real_t f342, f343, f344, f345, f348, f349;
+ real_t f350, f351, f354, f355, f356, f357;
+ real_t f358, f359, f360, f361, f362, f363;
+ real_t f364, f365, f366, f367, f368, f369;
+ real_t f370, f371, f372, f373, f374, f375;
+ real_t f376, f377, f378, f379, f380, f381;
+ real_t f382, f383, f384, f385, f386, f387;
+ real_t f388, f389, f390, f391, f392, f393;
+ real_t f394, f395, f396, f397, f398, f399;
+ real_t f400, f401, f402, f403, f404, f405;
+ real_t f406, f407, f408, f409, f410, f411;
+ real_t f412, f413, f414, f415, f416, f417;
+ real_t f418, f419, f420, f421, f422, f423;
+ real_t f424, f425, f426, f427, f428, f429;
+ real_t f430, f431, f432, f433, f434, f435;
+ real_t f436, f437, f438, f439, f440, f441;
+ real_t f442, f443, f444, f445, f446, f447;
+ real_t f448, f449, f450, f451, f452, f453;
+ real_t f454, f455, f456, f457, f458, f459;
+ real_t f460, f461, f462, f463, f464, f465;
+ real_t f466, f467, f468, f469, f470, f471;
+ real_t f472, f473, f474, f475, f476, f477;
+ real_t f478, f479, f480, f481, f482, f483;
+ real_t f484, f485, f486, f487, f488, f489;
+ real_t f490, f491, f492, f493, f494, f495;
+ real_t f496, f497, f498, f499, f500, f501;
+ real_t f504, f505, f506, f507, f510, f511;
+ real_t f512, f513, f516, f517, f518, f519;
+ real_t f522, f523, f524, f525, f528, f529;
+ real_t f530, f531, f534, f535, f536, f537;
+ real_t f540, f541, f542, f543, f546, f547;
+ real_t f548, f549, f550, f551, f552, f553;
+ real_t f554, f555, f556, f557, f558, f559;
+ real_t f560, f561, f562, f563, f564, f565;
+ real_t f566, f567, f568, f569, f570, f571;
+ real_t f572, f573, f574, f577, f578, f579;
+ real_t f580, f583, f584, f585, f586, f587;
+ real_t f588, f589, f590, f591, f592, f593;
+ real_t f594, f595, f596, f597, f598, f603;
+ real_t f604, f605, f606, f607, f608, f609;
+ real_t f610, f611, f612, f613, f614, f615;
+ real_t f616, f617, f618, f619, f620, f621;
+ real_t f622, f623, f624, f625, f626, f627;
+ real_t f628, f629, f630, f631, f632, f633;
+ real_t f634, f635, f636, f637, f638, f639;
+ real_t f640, f641, f642, f643, f644, f645;
+ real_t f646, f647, f648, f649, f650;
+ ALIGN static real_t t2[64];
+
+ for (i0=0; i0<32; i0++)
+ {
+ t2[2*i0+1] = x[i0] - x[-i0+63];
+ t2[2*i0] = x[i0] + x[-i0+63];
+ }
+ f2 = t2[2] + t2[4];
+ f3 = t2[4] - t2[2];
+ f4 = t2[6] + t2[8];
+ f5 = t2[8] - t2[6];
+ f6 = t2[10] + t2[12];
+ f7 = t2[12] - t2[10];
+ f8 = t2[14] + t2[16];
+ f9 = t2[16] - t2[14];
+ f10 = t2[18] + t2[20];
+ f11 = t2[20] - t2[18];
+ f12 = t2[22] + t2[24];
+ f13 = t2[24] - t2[22];
+ f14 = t2[26] + t2[28];
+ f15 = t2[28] - t2[26];
+ f16 = t2[30] + t2[32];
+ f17 = t2[32] - t2[30];
+ f18 = t2[34] + t2[36];
+ f19 = t2[36] - t2[34];
+ f20 = t2[38] + t2[40];
+ f21 = t2[40] - t2[38];
+ f22 = t2[42] + t2[44];
+ f23 = t2[44] - t2[42];
+ f24 = t2[46] + t2[48];
+ f25 = t2[48] - t2[46];
+ f26 = t2[50] + t2[52];
+ f27 = t2[52] - t2[50];
+ f28 = t2[54] + t2[56];
+ f29 = t2[56] - t2[54];
+ f30 = t2[58] + t2[60];
+ f31 = t2[60] - t2[58];
+ f32 = MUL_C(COEF_CONST(0.7071067811865476), f17);
+ f33 = t2[0] - f32;
+ f34 = t2[0] + f32;
+ f35 = f9 + f25;
+ f36 = MUL_C(COEF_CONST(1.3065629648763766), f9);
+ f37 = MUL_C(COEF_CONST((-0.9238795325112866)), f35);
+ f38 = MUL_C(COEF_CONST((-0.5411961001461967)), f25);
+ f39 = f36 + f37;
+ f40 = f38 - f37;
+ f41 = f34 - f40;
+ f42 = f34 + f40;
+ f43 = f33 - f39;
+ f44 = f33 + f39;
+ f45 = MUL_C(COEF_CONST(2.5629154477415064), f5);
+ f46 = MUL_C(COEF_CONST(0.8999762231364158), f13);
+ f47 = MUL_C(COEF_CONST(0.5097955791041592), f29);
+ f48 = MUL_C(COEF_CONST(0.6013448869350453), f21);
+ f49 = f45 - f47;
+ f50 = f45 + f47;
+ f51 = f46 - f48;
+ f52 = f46 + f48;
+ f53 = f50 + f52;
+ f54 = MUL_C(COEF_CONST(1.3065629648763770), f50);
+ f55 = MUL_C(COEF_CONST((-0.3826834323650904)), f53);
+ f56 = MUL_C(COEF_CONST(0.5411961001461961), f52);
+ f57 = f54 + f55;
+ f58 = f56 - f55;
+ f59 = f51 - f49;
+ f60 = f49 + f51;
+ f61 = MUL_C(COEF_CONST(0.7071067811865476), f60);
+ f62 = f58 - f61;
+ f63 = f57 - f61;
+ f64 = f59 + f57;
+ f65 = f42 - f58;
+ f66 = f42 + f58;
+ f67 = f44 + f62;
+ f68 = f44 - f62;
+ f69 = f43 - f63;
+ f70 = f43 + f63;
+ f71 = f41 + f64;
+ f72 = f41 - f64;
+ f73 = f7 - f11;
+ f74 = f7 + f11;
+ f75 = f15 - f19;
+ f76 = f15 + f19;
+ f77 = f23 - f27;
+ f78 = f23 + f27;
+ f79 = MUL_C(COEF_CONST(0.7071067811865476), f76);
+ f80 = f3 - f79;
+ f81 = f3 + f79;
+ f82 = f74 + f78;
+ f83 = MUL_C(COEF_CONST(1.3065629648763766), f74);
+ f84 = MUL_C(COEF_CONST((-0.9238795325112866)), f82);
+ f85 = MUL_C(COEF_CONST((-0.5411961001461967)), f78);
+ f86 = f83 + f84;
+ f87 = f85 - f84;
+ f88 = f81 - f87;
+ f89 = f81 + f87;
+ f90 = f80 - f86;
+ f91 = f80 + f86;
+ f92 = MUL_C(COEF_CONST(0.7071067811865476), f75);
+ f93 = f31 - f92;
+ f94 = f31 + f92;
+ f95 = f77 + f73;
+ f96 = MUL_C(COEF_CONST(1.3065629648763766), f77);
+ f97 = MUL_C(COEF_CONST((-0.9238795325112866)), f95);
+ f98 = MUL_C(COEF_CONST((-0.5411961001461967)), f73);
+ f99 = f96 + f97;
+ f100 = f98 - f97;
+ f101 = f94 - f100;
+ f102 = f94 + f100;
+ f103 = f93 - f99;
+ f104 = f93 + f99;
+ f105 = f102 + f89;
+ f106 = MUL_C(COEF_CONST((-0.8971675863426361)), f102);
+ f107 = MUL_C(COEF_CONST(0.9951847266721968), f105);
+ f108 = MUL_C(COEF_CONST(1.0932018670017576), f89);
+ f109 = f106 + f107;
+ f110 = f108 - f107;
+ f111 = f91 - f104;
+ f112 = MUL_C(COEF_CONST((-0.6666556584777466)), f104);
+ f113 = MUL_C(COEF_CONST(0.9569403357322089), f111);
+ f114 = MUL_C(COEF_CONST(1.2472250129866713), f91);
+ f115 = f113 - f112;
+ f116 = f114 - f113;
+ f117 = f103 + f90;
+ f118 = MUL_C(COEF_CONST((-0.4105245275223571)), f103);
+ f119 = MUL_C(COEF_CONST(0.8819212643483549), f117);
+ f120 = MUL_C(COEF_CONST(1.3533180011743529), f90);
+ f121 = f118 + f119;
+ f122 = f120 - f119;
+ f123 = f88 - f101;
+ f124 = MUL_C(COEF_CONST((-0.1386171691990915)), f101);
+ f125 = MUL_C(COEF_CONST(0.7730104533627370), f123);
+ f126 = MUL_C(COEF_CONST(1.4074037375263826), f88);
+ f127 = f125 - f124;
+ f128 = f126 - f125;
+ f129 = f66 - f109;
+ f130 = f66 + f109;
+ f131 = f68 - f115;
+ f132 = f68 + f115;
+ f133 = f70 - f121;
+ f134 = f70 + f121;
+ f135 = f72 - f127;
+ f136 = f72 + f127;
+ f137 = f71 - f128;
+ f138 = f71 + f128;
+ f139 = f69 - f122;
+ f140 = f69 + f122;
+ f141 = f67 - f116;
+ f142 = f67 + f116;
+ f143 = f65 - f110;
+ f144 = f65 + f110;
+ f145 = f26 + f30;
+ f146 = f22 + f26;
+ f147 = f18 + f22;
+ f148 = f14 + f18;
+ f149 = f10 + f14;
+ f150 = f6 + f10;
+ f151 = f2 + f6;
+ f152 = MUL_C(COEF_CONST(0.7071067811865476), f148);
+ f153 = f152 - f30;
+ f154 = f30 + f152;
+ f155 = f146 + f150;
+ f156 = MUL_C(COEF_CONST(1.3065629648763766), f146);
+ f157 = MUL_C(COEF_CONST((-0.9238795325112866)), f155);
+ f158 = MUL_C(COEF_CONST((-0.5411961001461967)), f150);
+ f159 = f156 + f157;
+ f160 = f157 - f158;
+ f161 = f154 + f160;
+ f162 = f160 - f154;
+ f163 = f153 + f159;
+ f164 = f153 - f159;
+ f165 = f147 + f145;
+ f166 = f149 + f147;
+ f167 = f151 + f149;
+ f168 = MUL_C(COEF_CONST(0.7071067811865476), f166);
+ f169 = f168 - f145;
+ f170 = f145 + f168;
+ f171 = f165 + f167;
+ f172 = MUL_C(COEF_CONST(1.3065629648763766), f165);
+ f173 = MUL_C(COEF_CONST((-0.9238795325112866)), f171);
+ f174 = MUL_C(COEF_CONST((-0.5411961001461967)), f167);
+ f175 = f172 + f173;
+ f176 = f173 - f174;
+ f177 = f170 + f176;
+ f178 = f176 - f170;
+ f179 = f169 + f175;
+ f180 = f169 - f175;
+ f181 = MUL_C(COEF_CONST(0.5097955791041592), f178);
+ f182 = MUL_C(COEF_CONST(0.6013448869350453), f180);
+ f183 = MUL_C(COEF_CONST(0.8999762231364156), f179);
+ f184 = MUL_C(COEF_CONST(2.5629154477415055), f177);
+ f185 = f162 - f181;
+ f186 = f162 + f181;
+ f187 = f164 - f182;
+ f188 = f164 + f182;
+ f189 = f163 - f183;
+ f190 = f163 + f183;
+ f191 = f184 - f161;
+ f192 = f161 + f184;
+ f193 = MUL_C(COEF_CONST(0.5024192861881557), f186);
+ f194 = MUL_C(COEF_CONST(0.5224986149396889), f188);
+ f195 = MUL_C(COEF_CONST(0.5669440348163577), f190);
+ f196 = MUL_C(COEF_CONST(0.6468217833599901), f192);
+ f197 = MUL_C(COEF_CONST(0.7881546234512502), f191);
+ f198 = MUL_C(COEF_CONST(1.0606776859903471), f189);
+ f199 = MUL_C(COEF_CONST(1.7224470982383342), f187);
+ f200 = MUL_C(COEF_CONST(5.1011486186891553), f185);
+ f201 = MUL_C(COEF_CONST(0.7071067811865476), f16);
+ f202 = f201 - t2[62];
+ f203 = t2[62] + f201;
+ f204 = f24 + f8;
+ f205 = MUL_C(COEF_CONST(1.3065629648763766), f24);
+ f206 = MUL_C(COEF_CONST((-0.9238795325112866)), f204);
+ f207 = MUL_C(COEF_CONST((-0.5411961001461967)), f8);
+ f208 = f205 + f206;
+ f209 = f206 - f207;
+ f210 = f203 + f209;
+ f211 = f209 - f203;
+ f212 = f202 + f208;
+ f213 = f202 - f208;
+ f214 = f20 + f28;
+ f215 = f12 + f20;
+ f216 = f4 + f12;
+ f217 = MUL_C(COEF_CONST(0.7071067811865476), f215);
+ f218 = f217 - f28;
+ f219 = f28 + f217;
+ f220 = f214 + f216;
+ f221 = MUL_C(COEF_CONST(1.3065629648763766), f214);
+ f222 = MUL_C(COEF_CONST((-0.9238795325112866)), f220);
+ f223 = MUL_C(COEF_CONST((-0.5411961001461967)), f216);
+ f224 = f221 + f222;
+ f225 = f222 - f223;
+ f226 = f219 + f225;
+ f227 = f225 - f219;
+ f228 = f218 + f224;
+ f229 = f218 - f224;
+ f230 = MUL_C(COEF_CONST(0.5097955791041592), f227);
+ f231 = MUL_C(COEF_CONST(0.6013448869350453), f229);
+ f232 = MUL_C(COEF_CONST(0.8999762231364156), f228);
+ f233 = MUL_C(COEF_CONST(2.5629154477415055), f226);
+ f234 = f211 - f230;
+ f235 = f211 + f230;
+ f236 = f213 - f231;
+ f237 = f213 + f231;
+ f238 = f212 - f232;
+ f239 = f212 + f232;
+ f240 = f233 - f210;
+ f241 = f210 + f233;
+ f242 = f193 - f235;
+ f243 = f193 + f235;
+ f244 = f237 - f194;
+ f245 = f194 + f237;
+ f246 = f195 - f239;
+ f247 = f195 + f239;
+ f248 = f196 - f241;
+ f249 = f196 + f241;
+ f250 = f197 - f240;
+ f251 = f197 + f240;
+ f252 = f238 - f198;
+ f253 = f198 + f238;
+ f254 = f199 - f236;
+ f255 = f199 + f236;
+ f256 = f234 - f200;
+ f257 = f200 + f234;
+ f258 = f243 + f130;
+ f259 = MUL_C(COEF_CONST((-0.9751575901732920)), f243);
+ f260 = MUL_C(COEF_CONST(0.9996988186962043), f258);
+ f261 = MUL_C(COEF_CONST(1.0242400472191164), f130);
+ y[62] = f259 + f260;
+ y[0] = f261 - f260;
+ f264 = f132 - f245;
+ f265 = MUL_C(COEF_CONST((-0.9237258930790228)), f245);
+ f266 = MUL_C(COEF_CONST(0.9972904566786902), f264);
+ f267 = MUL_C(COEF_CONST(1.0708550202783576), f132);
+ y[60] = f266 - f265;
+ y[2] = f267 - f266;
+ f270 = f247 + f134;
+ f271 = MUL_C(COEF_CONST((-0.8700688593994936)), f247);
+ f272 = MUL_C(COEF_CONST(0.9924795345987100), f270);
+ f273 = MUL_C(COEF_CONST(1.1148902097979263), f134);
+ y[58] = f271 + f272;
+ y[4] = f273 - f272;
+ f276 = f249 + f136;
+ f277 = MUL_C(COEF_CONST((-0.8143157536286398)), f249);
+ f278 = MUL_C(COEF_CONST(0.9852776423889412), f276);
+ f279 = MUL_C(COEF_CONST(1.1562395311492426), f136);
+ y[56] = f277 + f278;
+ y[6] = f279 - f278;
+ f282 = f251 + f138;
+ f283 = MUL_C(COEF_CONST((-0.7566008898816587)), f251);
+ f284 = MUL_C(COEF_CONST(0.9757021300385286), f282);
+ f285 = MUL_C(COEF_CONST(1.1948033701953984), f138);
+ y[54] = f283 + f284;
+ y[8] = f285 - f284;
+ f288 = f140 - f253;
+ f289 = MUL_C(COEF_CONST((-0.6970633083205414)), f253);
+ f290 = MUL_C(COEF_CONST(0.9637760657954398), f288);
+ f291 = MUL_C(COEF_CONST(1.2304888232703384), f140);
+ y[52] = f290 - f289;
+ y[10] = f291 - f290;
+ f294 = f255 + f142;
+ f295 = MUL_C(COEF_CONST((-0.6358464401941451)), f255);
+ f296 = MUL_C(COEF_CONST(0.9495281805930367), f294);
+ f297 = MUL_C(COEF_CONST(1.2632099209919283), f142);
+ y[50] = f295 + f296;
+ y[12] = f297 - f296;
+ f300 = f144 - f257;
+ f301 = MUL_C(COEF_CONST((-0.5730977622997506)), f257);
+ f302 = MUL_C(COEF_CONST(0.9329927988347389), f300);
+ f303 = MUL_C(COEF_CONST(1.2928878353697271), f144);
+ y[48] = f302 - f301;
+ y[14] = f303 - f302;
+ f306 = f256 + f143;
+ f307 = MUL_C(COEF_CONST((-0.5089684416985408)), f256);
+ f308 = MUL_C(COEF_CONST(0.9142097557035307), f306);
+ f309 = MUL_C(COEF_CONST(1.3194510697085207), f143);
+ y[46] = f307 + f308;
+ y[16] = f309 - f308;
+ f312 = f254 + f141;
+ f313 = MUL_C(COEF_CONST((-0.4436129715409087)), f254);
+ f314 = MUL_C(COEF_CONST(0.8932243011955153), f312);
+ f315 = MUL_C(COEF_CONST(1.3428356308501219), f141);
+ y[44] = f313 + f314;
+ y[18] = f315 - f314;
+ f318 = f252 + f139;
+ f319 = MUL_C(COEF_CONST((-0.3771887988789273)), f252);
+ f320 = MUL_C(COEF_CONST(0.8700869911087114), f318);
+ f321 = MUL_C(COEF_CONST(1.3629851833384954), f139);
+ y[42] = f319 + f320;
+ y[20] = f321 - f320;
+ f324 = f250 + f137;
+ f325 = MUL_C(COEF_CONST((-0.3098559453626097)), f250);
+ f326 = MUL_C(COEF_CONST(0.8448535652497070), f324);
+ f327 = MUL_C(COEF_CONST(1.3798511851368043), f137);
+ y[40] = f325 + f326;
+ y[22] = f327 - f326;
+ f330 = f248 + f135;
+ f331 = MUL_C(COEF_CONST((-0.2417766217337384)), f248);
+ f332 = MUL_C(COEF_CONST(0.8175848131515837), f330);
+ f333 = MUL_C(COEF_CONST(1.3933930045694289), f135);
+ y[38] = f331 + f332;
+ y[24] = f333 - f332;
+ f336 = f246 + f133;
+ f337 = MUL_C(COEF_CONST((-0.1731148370459794)), f246);
+ f338 = MUL_C(COEF_CONST(0.7883464276266062), f336);
+ f339 = MUL_C(COEF_CONST(1.4035780182072330), f133);
+ y[36] = f337 + f338;
+ y[26] = f339 - f338;
+ f342 = f244 + f131;
+ f343 = MUL_C(COEF_CONST((-0.1040360035527077)), f244);
+ f344 = MUL_C(COEF_CONST(0.7572088465064845), f342);
+ f345 = MUL_C(COEF_CONST(1.4103816894602612), f131);
+ y[34] = f343 + f344;
+ y[28] = f345 - f344;
+ f348 = f242 + f129;
+ f349 = MUL_C(COEF_CONST((-0.0347065382144000)), f242);
+ f350 = MUL_C(COEF_CONST(0.7242470829514669), f348);
+ f351 = MUL_C(COEF_CONST(1.4137876276885337), f129);
+ y[32] = f349 + f350;
+ y[30] = f351 - f350;
+ f354 = t2[1] - t2[63];
+ f355 = t2[1] + t2[63];
+ f356 = t2[3] - t2[61];
+ f357 = t2[3] + t2[61];
+ f358 = t2[5] - t2[59];
+ f359 = t2[5] + t2[59];
+ f360 = t2[7] - t2[57];
+ f361 = t2[7] + t2[57];
+ f362 = t2[9] - t2[55];
+ f363 = t2[9] + t2[55];
+ f364 = t2[11] - t2[53];
+ f365 = t2[11] + t2[53];
+ f366 = t2[13] - t2[51];
+ f367 = t2[13] + t2[51];
+ f368 = t2[15] - t2[49];
+ f369 = t2[15] + t2[49];
+ f370 = t2[17] - t2[47];
+ f371 = t2[17] + t2[47];
+ f372 = t2[19] - t2[45];
+ f373 = t2[19] + t2[45];
+ f374 = t2[21] - t2[43];
+ f375 = t2[21] + t2[43];
+ f376 = t2[23] - t2[41];
+ f377 = t2[23] + t2[41];
+ f378 = t2[25] - t2[39];
+ f379 = t2[25] + t2[39];
+ f380 = t2[27] - t2[37];
+ f381 = t2[27] + t2[37];
+ f382 = t2[29] - t2[35];
+ f383 = t2[29] + t2[35];
+ f384 = t2[31] - t2[33];
+ f385 = t2[31] + t2[33];
+ f386 = f369 + f371;
+ f387 = f371 - f369;
+ f388 = MUL_C(COEF_CONST(0.7071067811865476), f387);
+ f389 = MUL_C(COEF_CONST(0.7071067811865476), f386);
+ f390 = f363 + f377;
+ f391 = f363 - f377;
+ f392 = MUL_C(COEF_CONST(0.7071067811865476), f391);
+ f393 = MUL_C(COEF_CONST(0.7071067811865476), f390);
+ f394 = f367 + f373;
+ f395 = f367 - f373;
+ f396 = MUL_C(COEF_CONST(0.7071067811865476), f395);
+ f397 = MUL_C(COEF_CONST(0.7071067811865476), f394);
+ f398 = f365 + f375;
+ f399 = f375 - f365;
+ f400 = MUL_C(COEF_CONST(0.7071067811865476), f399);
+ f401 = MUL_C(COEF_CONST(0.7071067811865476), f398);
+ f402 = f355 - f388;
+ f403 = f355 + f388;
+ f404 = f389 - f385;
+ f405 = f385 + f389;
+ f406 = f361 + f392;
+ f407 = f392 - f361;
+ f408 = f379 - f393;
+ f409 = f379 + f393;
+ f410 = f357 + f396;
+ f411 = f396 - f357;
+ f412 = f383 - f397;
+ f413 = f383 + f397;
+ f414 = f359 - f400;
+ f415 = f359 + f400;
+ f416 = f401 - f381;
+ f417 = f381 + f401;
+ f418 = f409 + f407;
+ f419 = MUL_C(COEF_CONST((-0.5411961001461969)), f409);
+ f420 = MUL_C(COEF_CONST(0.9238795325112867), f418);
+ f421 = MUL_C(COEF_CONST(1.3065629648763766), f407);
+ f422 = f419 + f420;
+ f423 = f421 - f420;
+ f424 = f408 - f406;
+ f425 = MUL_C(COEF_CONST(1.3065629648763770), f408);
+ f426 = MUL_C(COEF_CONST((-0.3826834323650904)), f424);
+ f427 = MUL_C(COEF_CONST(0.5411961001461961), f406);
+ f428 = f425 + f426;
+ f429 = f426 + f427;
+ f430 = f415 - f417;
+ f431 = MUL_C(COEF_CONST((-0.5411961001461969)), f417);
+ f432 = MUL_C(COEF_CONST(0.9238795325112867), f430);
+ f433 = MUL_C(COEF_CONST(1.3065629648763766), f415);
+ f434 = f432 - f431;
+ f435 = f433 - f432;
+ f436 = f416 + f414;
+ f437 = MUL_C(COEF_CONST(1.3065629648763770), f416);
+ f438 = MUL_C(COEF_CONST((-0.3826834323650904)), f436);
+ f439 = MUL_C(COEF_CONST(0.5411961001461961), f414);
+ f440 = f437 + f438;
+ f441 = f439 - f438;
+ f442 = f403 - f422;
+ f443 = f403 + f422;
+ f444 = f405 + f423;
+ f445 = f423 - f405;
+ f446 = f402 - f428;
+ f447 = f402 + f428;
+ f448 = f404 + f429;
+ f449 = f404 - f429;
+ f450 = f411 - f434;
+ f451 = f411 + f434;
+ f452 = f413 - f435;
+ f453 = f413 + f435;
+ f454 = f410 + f440;
+ f455 = f440 - f410;
+ f456 = f412 - f441;
+ f457 = f412 + f441;
+ f458 = f453 + f451;
+ f459 = MUL_C(COEF_CONST((-0.7856949583871021)), f453);
+ f460 = MUL_C(COEF_CONST(0.9807852804032304), f458);
+ f461 = MUL_C(COEF_CONST(1.1758756024193588), f451);
+ f462 = f459 + f460;
+ f463 = f461 - f460;
+ f464 = f457 + f455;
+ f465 = MUL_C(COEF_CONST(0.2758993792829431), f457);
+ f466 = MUL_C(COEF_CONST(0.5555702330196022), f464);
+ f467 = MUL_C(COEF_CONST(1.3870398453221475), f455);
+ f468 = f465 + f466;
+ f469 = f467 - f466;
+ f470 = f452 + f450;
+ f471 = MUL_C(COEF_CONST(1.1758756024193591), f452);
+ f472 = MUL_C(COEF_CONST((-0.1950903220161287)), f470);
+ f473 = MUL_C(COEF_CONST(0.7856949583871016), f450);
+ f474 = f471 + f472;
+ f475 = f473 - f472;
+ f476 = f456 - f454;
+ f477 = MUL_C(COEF_CONST(1.3870398453221473), f456);
+ f478 = MUL_C(COEF_CONST((-0.8314696123025455)), f476);
+ f479 = MUL_C(COEF_CONST((-0.2758993792829436)), f454);
+ f480 = f477 + f478;
+ f481 = f478 + f479;
+ f482 = f443 - f462;
+ f483 = f443 + f462;
+ f484 = f445 - f463;
+ f485 = f445 + f463;
+ f486 = f447 - f468;
+ f487 = f447 + f468;
+ f488 = f449 - f469;
+ f489 = f449 + f469;
+ f490 = f442 - f474;
+ f491 = f442 + f474;
+ f492 = f444 + f475;
+ f493 = f475 - f444;
+ f494 = f446 - f480;
+ f495 = f446 + f480;
+ f496 = f448 + f481;
+ f497 = f448 - f481;
+ f498 = f485 + f483;
+ f499 = MUL_C(COEF_CONST((-0.9497277818777543)), f485);
+ f500 = MUL_C(COEF_CONST(0.9987954562051724), f498);
+ f501 = MUL_C(COEF_CONST(1.0478631305325905), f483);
+ y[61] = f499 + f500;
+ y[1] = f501 - f500;
+ f504 = f489 + f487;
+ f505 = MUL_C(COEF_CONST((-0.7270510732912801)), f489);
+ f506 = MUL_C(COEF_CONST(0.9700312531945440), f504);
+ f507 = MUL_C(COEF_CONST(1.2130114330978079), f487);
+ y[53] = f505 + f506;
+ y[9] = f507 - f506;
+ f510 = f493 + f491;
+ f511 = MUL_C(COEF_CONST((-0.4764341996931611)), f493);
+ f512 = MUL_C(COEF_CONST(0.9039892931234433), f510);
+ f513 = MUL_C(COEF_CONST(1.3315443865537255), f491);
+ y[45] = f511 + f512;
+ y[17] = f513 - f512;
+ f516 = f497 + f495;
+ f517 = MUL_C(COEF_CONST((-0.2075082269882114)), f497);
+ f518 = MUL_C(COEF_CONST(0.8032075314806448), f516);
+ f519 = MUL_C(COEF_CONST(1.3989068359730783), f495);
+ y[37] = f517 + f518;
+ y[25] = f519 - f518;
+ f522 = f484 + f482;
+ f523 = MUL_C(COEF_CONST(0.0693921705079408), f484);
+ f524 = MUL_C(COEF_CONST(0.6715589548470183), f522);
+ f525 = MUL_C(COEF_CONST(1.4125100802019774), f482);
+ y[29] = f523 + f524;
+ y[33] = f525 - f524;
+ f528 = f488 + f486;
+ f529 = MUL_C(COEF_CONST(0.3436258658070505), f488);
+ f530 = MUL_C(COEF_CONST(0.5141027441932217), f528);
+ f531 = MUL_C(COEF_CONST(1.3718313541934939), f486);
+ y[21] = f529 + f530;
+ y[41] = f531 - f530;
+ f534 = f490 - f492;
+ f535 = MUL_C(COEF_CONST(0.6046542117908007), f492);
+ f536 = MUL_C(COEF_CONST(0.3368898533922201), f534);
+ f537 = MUL_C(COEF_CONST(1.2784339185752409), f490);
+ y[13] = f536 - f535;
+ y[49] = f537 - f536;
+ f540 = f496 + f494;
+ f541 = MUL_C(COEF_CONST(0.8424460355094192), f496);
+ f542 = MUL_C(COEF_CONST(0.1467304744553618), f540);
+ f543 = MUL_C(COEF_CONST(1.1359069844201428), f494);
+ y[5] = f541 + f542;
+ y[57] = f543 - f542;
+ f546 = f354 + f384;
+ f547 = f354 - f384;
+ f548 = f356 + f382;
+ f549 = f382 - f356;
+ f550 = f358 + f380;
+ f551 = f358 - f380;
+ f552 = f360 + f378;
+ f553 = f378 - f360;
+ f554 = f362 + f376;
+ f555 = f362 - f376;
+ f556 = f364 + f374;
+ f557 = f374 - f364;
+ f558 = f366 + f372;
+ f559 = f366 - f372;
+ f560 = f368 + f370;
+ f561 = f370 - f368;
+ f562 = f547 - f561;
+ f563 = f547 + f561;
+ f564 = f549 - f559;
+ f565 = f549 + f559;
+ f566 = f551 - f557;
+ f567 = f551 + f557;
+ f568 = f553 - f555;
+ f569 = f553 + f555;
+ f570 = f563 - f569;
+ f571 = f563 + f569;
+ f572 = f565 - f567;
+ f573 = f565 + f567;
+ f574 = f571 - f573;
+ y[63] = f571 + f573;
+ y[31] = MUL_C(COEF_CONST(0.7071067811865476), f574);
+ f577 = f570 + f572;
+ f578 = MUL_C(COEF_CONST(1.3065629648763766), f570);
+ f579 = MUL_C(COEF_CONST((-0.9238795325112866)), f577);
+ f580 = MUL_C(COEF_CONST((-0.5411961001461967)), f572);
+ y[15] = f578 + f579;
+ y[47] = f580 - f579;
+ f583 = f564 + f562;
+ f584 = f566 + f564;
+ f585 = f568 + f566;
+ f586 = MUL_C(COEF_CONST(0.7071067811865476), f584);
+ f587 = f562 - f586;
+ f588 = f562 + f586;
+ f589 = f583 + f585;
+ f590 = MUL_C(COEF_CONST(1.3065629648763766), f583);
+ f591 = MUL_C(COEF_CONST((-0.9238795325112866)), f589);
+ f592 = MUL_C(COEF_CONST((-0.5411961001461967)), f585);
+ f593 = f590 + f591;
+ f594 = f592 - f591;
+ f595 = f588 - f594;
+ f596 = f588 + f594;
+ f597 = f587 - f593;
+ f598 = f587 + f593;
+ y[55] = MUL_C(COEF_CONST(0.5097955791041592), f596);
+ y[39] = MUL_C(COEF_CONST(0.6013448869350453), f598);
+ y[23] = MUL_C(COEF_CONST(0.8999762231364156), f597);
+ y[7] = MUL_C(COEF_CONST(2.5629154477415055), f595);
+ f603 = MUL_C(COEF_CONST(0.5024192861881557), f546);
+ f604 = MUL_C(COEF_CONST(0.5224986149396889), f548);
+ f605 = MUL_C(COEF_CONST(0.5669440348163577), f550);
+ f606 = MUL_C(COEF_CONST(0.6468217833599901), f552);
+ f607 = MUL_C(COEF_CONST(0.7881546234512502), f554);
+ f608 = MUL_C(COEF_CONST(1.0606776859903471), f556);
+ f609 = MUL_C(COEF_CONST(1.7224470982383342), f558);
+ f610 = MUL_C(COEF_CONST(5.1011486186891553), f560);
+ f611 = f603 + f610;
+ f612 = f603 - f610;
+ f613 = f604 + f609;
+ f614 = f609 - f604;
+ f615 = f605 + f608;
+ f616 = f605 - f608;
+ f617 = f606 + f607;
+ f618 = f607 - f606;
+ f619 = f612 - f618;
+ f620 = f612 + f618;
+ f621 = f614 - f616;
+ f622 = f614 + f616;
+ f623 = f620 - f622;
+ f624 = f620 + f622;
+ f625 = MUL_C(COEF_CONST(0.7071067811865476), f623);
+ f626 = f619 + f621;
+ f627 = MUL_C(COEF_CONST(1.3065629648763766), f619);
+ f628 = MUL_C(COEF_CONST((-0.9238795325112866)), f626);
+ f629 = MUL_C(COEF_CONST((-0.5411961001461967)), f621);
+ f630 = f627 + f628;
+ f631 = f629 - f628;
+ f632 = f611 - f613;
+ f633 = f615 - f613;
+ f634 = f615 - f617;
+ f635 = MUL_C(COEF_CONST(0.7071067811865476), f633);
+ f636 = f611 - f635;
+ f637 = f611 + f635;
+ f638 = f632 + f634;
+ f639 = MUL_C(COEF_CONST(1.3065629648763766), f632);
+ f640 = MUL_C(COEF_CONST((-0.9238795325112866)), f638);
+ f641 = MUL_C(COEF_CONST((-0.5411961001461967)), f634);
+ f642 = f639 + f640;
+ f643 = f641 - f640;
+ f644 = f637 - f643;
+ f645 = f637 + f643;
+ f646 = f636 - f642;
+ f647 = f636 + f642;
+ f648 = MUL_C(COEF_CONST(0.5097955791041592), f645);
+ f649 = MUL_C(COEF_CONST(0.6013448869350453), f647);
+ f650 = MUL_C(COEF_CONST(0.8999762231364156), f646);
+ y[3] = MUL_C(COEF_CONST(2.5629154477415055), f644);
+ y[59] = f624 + f648;
+ y[51] = f648 + f631;
+ y[43] = f631 + f649;
+ y[35] = f649 + f625;
+ y[27] = f625 + f650;
+ y[19] = f650 + f630;
+ y[11] = f630 + y[3];
}
#else
@@ -1099,745 +1879,7 @@
void DCT4_64(real_t *y, real_t *x)
{
int16_t i0;
- real_t f2;
- real_t f3;
- real_t f4;
- real_t f5;
- real_t f6;
- real_t f7;
- real_t f8;
- real_t f9;
- real_t f10;
- real_t f11;
- real_t f12;
- real_t f13;
- real_t f14;
- real_t f15;
- real_t f16;
- real_t f17;
- real_t f18;
- real_t f19;
- real_t f20;
- real_t f21;
- real_t f22;
- real_t f23;
- real_t f24;
- real_t f25;
- real_t f26;
- real_t f27;
- real_t f28;
- real_t f29;
- real_t f30;
- real_t f31;
- real_t f32;
- real_t f33;
- real_t f34;
- real_t f35;
- real_t f36;
- real_t f37;
- real_t f38;
- real_t f39;
- real_t f40;
- real_t f41;
- real_t f42;
- real_t f43;
- real_t f44;
- real_t f45;
- real_t f46;
- real_t f47;
- real_t f48;
- real_t f49;
- real_t f50;
- real_t f51;
- real_t f52;
- real_t f53;
- real_t f54;
- real_t f55;
- real_t f56;
- real_t f57;
- real_t f58;
- real_t f59;
- real_t f60;
- real_t f61;
- real_t f62;
- real_t f63;
- real_t f64;
- real_t f65;
- real_t f66;
- real_t f67;
- real_t f68;
- real_t f69;
- real_t f70;
- real_t f71;
- real_t f72;
- real_t f73;
- real_t f74;
- real_t f75;
- real_t f76;
- real_t f77;
- real_t f78;
- real_t f79;
- real_t f80;
- real_t f81;
- real_t f82;
- real_t f83;
- real_t f84;
- real_t f85;
- real_t f86;
- real_t f87;
- real_t f88;
- real_t f89;
- real_t f90;
- real_t f91;
- real_t f92;
- real_t f93;
- real_t f94;
- real_t f95;
- real_t f96;
- real_t f97;
- real_t f98;
- real_t f99;
- real_t f100;
- real_t f101;
- real_t f102;
- real_t f103;
- real_t f104;
- real_t f105;
- real_t f106;
- real_t f107;
- real_t f108;
- real_t f109;
- real_t f110;
- real_t f111;
- real_t f112;
- real_t f113;
- real_t f114;
- real_t f115;
- real_t f116;
- real_t f117;
- real_t f118;
- real_t f119;
- real_t f120;
- real_t f121;
- real_t f122;
- real_t f123;
- real_t f124;
- real_t f125;
- real_t f126;
- real_t f127;
- real_t f128;
- real_t f129;
- real_t f130;
- real_t f131;
- real_t f132;
- real_t f133;
- real_t f134;
- real_t f135;
- real_t f136;
- real_t f137;
- real_t f138;
- real_t f139;
- real_t f140;
- real_t f141;
- real_t f142;
- real_t f143;
- real_t f144;
- real_t f145;
- real_t f146;
- real_t f147;
- real_t f148;
- real_t f149;
- real_t f150;
- real_t f151;
- real_t f152;
- real_t f153;
- real_t f154;
- real_t f155;
- real_t f156;
- real_t f157;
- real_t f158;
- real_t f159;
- real_t f160;
- real_t f161;
- real_t f162;
- real_t f163;
- real_t f164;
- real_t f165;
- real_t f166;
- real_t f167;
- real_t f168;
- real_t f169;
- real_t f170;
- real_t f171;
- real_t f172;
- real_t f173;
- real_t f174;
- real_t f175;
- real_t f176;
- real_t f177;
- real_t f178;
- real_t f179;
- real_t f180;
- real_t f181;
- real_t f182;
- real_t f183;
- real_t f184;
- real_t f185;
- real_t f186;
- real_t f187;
- real_t f188;
- real_t f189;
- real_t f190;
- real_t f191;
- real_t f192;
- real_t f193;
- real_t f194;
- real_t f195;
- real_t f196;
- real_t f197;
- real_t f198;
- real_t f199;
- real_t f200;
- real_t f201;
- real_t f202;
- real_t f203;
- real_t f204;
- real_t f205;
- real_t f206;
- real_t f207;
- real_t f208;
- real_t f209;
- real_t f210;
- real_t f211;
- real_t f212;
- real_t f213;
- real_t f214;
- real_t f215;
- real_t f216;
- real_t f217;
- real_t f218;
- real_t f219;
- real_t f220;
- real_t f221;
- real_t f222;
- real_t f223;
- real_t f224;
- real_t f225;
- real_t f226;
- real_t f227;
- real_t f228;
- real_t f229;
- real_t f230;
- real_t f231;
- real_t f232;
- real_t f233;
- real_t f234;
- real_t f235;
- real_t f236;
- real_t f237;
- real_t f238;
- real_t f239;
- real_t f240;
- real_t f241;
- real_t f242;
- real_t f243;
- real_t f244;
- real_t f245;
- real_t f246;
- real_t f247;
- real_t f248;
- real_t f249;
- real_t f250;
- real_t f251;
- real_t f252;
- real_t f253;
- real_t f254;
- real_t f255;
- real_t f256;
- real_t f257;
- real_t f258;
- real_t f259;
- real_t f260;
- real_t f261;
- real_t f262;
- real_t f263;
- real_t f264;
- real_t f265;
- real_t f266;
- real_t f267;
- real_t f268;
- real_t f269;
- real_t f270;
- real_t f271;
- real_t f272;
- real_t f273;
- real_t f274;
- real_t f275;
- real_t f276;
- real_t f277;
- real_t f278;
- real_t f279;
- real_t f280;
- real_t f281;
- real_t f282;
- real_t f283;
- real_t f284;
- real_t f285;
- real_t f286;
- real_t f287;
- real_t f288;
- real_t f289;
- real_t f290;
- real_t f291;
- real_t f292;
- real_t f293;
- real_t f294;
- real_t f295;
- real_t f296;
- real_t f297;
- real_t f298;
- real_t f299;
- real_t f300;
- real_t f301;
- real_t f302;
- real_t f303;
- real_t f304;
- real_t f305;
- real_t f306;
- real_t f307;
- real_t f308;
- real_t f309;
- real_t f310;
- real_t f311;
- real_t f312;
- real_t f313;
- real_t f314;
- real_t f315;
- real_t f316;
- real_t f317;
- real_t f318;
- real_t f319;
- real_t f320;
- real_t f321;
- real_t f322;
- real_t f323;
- real_t f324;
- real_t f325;
- real_t f326;
- real_t f327;
- real_t f328;
- real_t f329;
- real_t f330;
- real_t f331;
- real_t f332;
- real_t f333;
- real_t f334;
- real_t f335;
- real_t f336;
- real_t f337;
- real_t f338;
- real_t f339;
- real_t f340;
- real_t f341;
- real_t f342;
- real_t f343;
- real_t f344;
- real_t f345;
- real_t f346;
- real_t f347;
- real_t f348;
- real_t f349;
- real_t f350;
- real_t f351;
- real_t f352;
- real_t f353;
- real_t f354;
- real_t f355;
- real_t f356;
- real_t f357;
- real_t f358;
- real_t f359;
- real_t f360;
- real_t f361;
- real_t f362;
- real_t f363;
- real_t f364;
- real_t f365;
- real_t f366;
- real_t f367;
- real_t f368;
- real_t f369;
- real_t f370;
- real_t f371;
- real_t f372;
- real_t f373;
- real_t f374;
- real_t f375;
- real_t f376;
- real_t f377;
- real_t f378;
- real_t f379;
- real_t f380;
- real_t f381;
- real_t f382;
- real_t f383;
- real_t f384;
- real_t f385;
- real_t f386;
- real_t f387;
- real_t f388;
- real_t f389;
- real_t f390;
- real_t f391;
- real_t f392;
- real_t f393;
- real_t f394;
- real_t f395;
- real_t f396;
- real_t f397;
- real_t f398;
- real_t f399;
- real_t f400;
- real_t f401;
- real_t f402;
- real_t f403;
- real_t f404;
- real_t f405;
- real_t f406;
- real_t f407;
- real_t f408;
- real_t f409;
- real_t f410;
- real_t f411;
- real_t f412;
- real_t f413;
- real_t f414;
- real_t f415;
- real_t f416;
- real_t f417;
- real_t f418;
- real_t f419;
- real_t f420;
- real_t f421;
- real_t f422;
- real_t f423;
- real_t f424;
- real_t f425;
- real_t f426;
- real_t f427;
- real_t f428;
- real_t f429;
- real_t f430;
- real_t f431;
- real_t f432;
- real_t f433;
- real_t f434;
- real_t f435;
- real_t f436;
- real_t f437;
- real_t f438;
- real_t f439;
- real_t f440;
- real_t f441;
- real_t f442;
- real_t f443;
- real_t f444;
- real_t f445;
- real_t f446;
- real_t f447;
- real_t f448;
- real_t f449;
- real_t f450;
- real_t f451;
- real_t f452;
- real_t f453;
- real_t f454;
- real_t f455;
- real_t f456;
- real_t f457;
- real_t f458;
- real_t f459;
- real_t f460;
- real_t f461;
- real_t f462;
- real_t f463;
- real_t f464;
- real_t f465;
- real_t f466;
- real_t f467;
- real_t f468;
- real_t f469;
- real_t f470;
- real_t f471;
- real_t f472;
- real_t f473;
- real_t f474;
- real_t f475;
- real_t f476;
- real_t f477;
- real_t f478;
- real_t f479;
- real_t f480;
- real_t f481;
- real_t f482;
- real_t f483;
- real_t f484;
- real_t f485;
- real_t f486;
- real_t f487;
- real_t f488;
- real_t f489;
- real_t f490;
- real_t f491;
- real_t f492;
- real_t f493;
- real_t f494;
- real_t f495;
- real_t f496;
- real_t f497;
- real_t f498;
- real_t f499;
- real_t f500;
- real_t f501;
- real_t f502;
- real_t f503;
- real_t f504;
- real_t f505;
- real_t f506;
- real_t f507;
- real_t f508;
- real_t f509;
- real_t f510;
- real_t f511;
- real_t f512;
- real_t f513;
- real_t f514;
- real_t f515;
- real_t f516;
- real_t f517;
- real_t f518;
- real_t f519;
- real_t f520;
- real_t f521;
- real_t f522;
- real_t f523;
- real_t f524;
- real_t f525;
- real_t f526;
- real_t f527;
- real_t f528;
- real_t f529;
- real_t f530;
- real_t f531;
- real_t f532;
- real_t f533;
- real_t f534;
- real_t f535;
- real_t f536;
- real_t f537;
- real_t f538;
- real_t f539;
- real_t f540;
- real_t f541;
- real_t f542;
- real_t f543;
- real_t f544;
- real_t f545;
- real_t f546;
- real_t f547;
- real_t f548;
- real_t f549;
- real_t f550;
- real_t f551;
- real_t f552;
- real_t f553;
- real_t f554;
- real_t f555;
- real_t f556;
- real_t f557;
- real_t f558;
- real_t f559;
- real_t f560;
- real_t f561;
- real_t f562;
- real_t f563;
- real_t f564;
- real_t f565;
- real_t f566;
- real_t f567;
- real_t f568;
- real_t f569;
- real_t f570;
- real_t f571;
- real_t f572;
- real_t f573;
- real_t f574;
- real_t f575;
- real_t f576;
- real_t f577;
- real_t f578;
- real_t f579;
- real_t f580;
- real_t f581;
- real_t f582;
- real_t f583;
- real_t f584;
- real_t f585;
- real_t f586;
- real_t f587;
- real_t f588;
- real_t f589;
- real_t f590;
- real_t f591;
- real_t f592;
- real_t f593;
- real_t f594;
- real_t f595;
- real_t f596;
- real_t f597;
- real_t f598;
- real_t f599;
- real_t f600;
- real_t f601;
- real_t f602;
- real_t f603;
- real_t f604;
- real_t f605;
- real_t f606;
- real_t f607;
- real_t f608;
- real_t f609;
- real_t f610;
- real_t f611;
- real_t f612;
- real_t f613;
- real_t f614;
- real_t f615;
- real_t f618;
- real_t f619;
- real_t f620;
- real_t f621;
- real_t f624;
- real_t f625;
- real_t f626;
- real_t f627;
- real_t f630;
- real_t f631;
- real_t f632;
- real_t f633;
- real_t f636;
- real_t f637;
- real_t f638;
- real_t f639;
- real_t f642;
- real_t f643;
- real_t f644;
- real_t f645;
- real_t f648;
- real_t f649;
- real_t f650;
- real_t f651;
- real_t f654;
- real_t f655;
- real_t f656;
- real_t f657;
- real_t f660;
- real_t f661;
- real_t f662;
- real_t f663;
- real_t f666;
- real_t f667;
- real_t f668;
- real_t f669;
- real_t f672;
- real_t f673;
- real_t f674;
- real_t f675;
- real_t f678;
- real_t f679;
- real_t f680;
- real_t f681;
- real_t f684;
- real_t f685;
- real_t f686;
- real_t f687;
- real_t f690;
- real_t f691;
- real_t f692;
- real_t f693;
- real_t f696;
- real_t f697;
- real_t f698;
- real_t f699;
- real_t f702;
- real_t f703;
- real_t f704;
- real_t f705;
- real_t f708;
- real_t f709;
- real_t f710;
- real_t f711;
- real_t f714;
- real_t f715;
- real_t f716;
- real_t f717;
- real_t f720;
- real_t f721;
- real_t f722;
- real_t f723;
- real_t f726;
- real_t f727;
- real_t f728;
- real_t f729;
- real_t f732;
- real_t f733;
- real_t f734;
- real_t f735;
- real_t f738;
- real_t f739;
- real_t f740;
- real_t f741;
- real_t f744;
- real_t f745;
- real_t f746;
- real_t f747;
- real_t f750;
- real_t f751;
- real_t f752;
- real_t f753;
- real_t f756;
- real_t f757;
- real_t f758;
- real_t f759;
- real_t f762;
- real_t f763;
- real_t f764;
- real_t f765;
- real_t f768;
- real_t f769;
- real_t f770;
- real_t f771;
- real_t f774;
- real_t f775;
- real_t f776;
- real_t f777;
- real_t f780;
- real_t f781;
- real_t f782;
- real_t f783;
- real_t f786;
- real_t f787;
- real_t f788;
- real_t f789;
- real_t f792;
- real_t f793;
- real_t f794;
- real_t f795;
- real_t f798;
- real_t f799;
- real_t f800;
- real_t f801;
- static real_t t2[64];
+ ALIGN static real_t t2[64];
t2[0] = x[0];
for (i0=0; i0<31; i0++)
@@ -1846,9 +1888,122 @@
t2[2*i0+2] = x[2*i0+1] + x[2*i0+2];
}
t2[63] = x[63];
+
+ DCT4_64_kernel(y, t2);
+}
+
+void DCT4_64_kernel(real_t *y, real_t *t2)
+{
+ real_t f2, f3, f4, f5, f6, f7, f8;
+ real_t f9, f10, f11, f12, f13, f14, f15;
+ real_t f16, f17, f18, f19, f20, f21, f22;
+ real_t f23, f24, f25, f26, f27, f28, f29;
+ real_t f30, f31, f32, f33, f34, f35, f36;
+ real_t f37, f38, f39, f40, f41, f42, f43;
+ real_t f44, f45, f46, f47, f48, f49, f50;
+ real_t f51, f52, f53, f54, f55, f56, f57;
+ real_t f58, f59, f60, f61, f62, f63, f64;
+ real_t f65, f66, f67, f68, f69, f70, f71;
+ real_t f72, f73, f74, f75, f76, f77, f78;
+ real_t f79, f80, f81, f82, f83, f84, f85;
+ real_t f86, f87, f88, f89, f90, f91, f92;
+ real_t f93, f94, f95, f96, f97, f98, f99;
+ real_t f100, f101, f102, f103, f104, f105, f106;
+ real_t f107, f108, f109, f110, f111, f112, f113;
+ real_t f114, f115, f116, f117, f118, f119, f120;
+ real_t f121, f122, f123, f124, f125, f126, f127;
+ real_t f128, f129, f130, f131, f132, f133, f134;
+ real_t f135, f136, f137, f138, f139, f140, f141;
+ real_t f142, f143, f144, f145, f146, f147, f148;
+ real_t f149, f150, f151, f152, f153, f154, f155;
+ real_t f156, f157, f158, f159, f160, f161, f162;
+ real_t f163, f164, f165, f166, f167, f168, f169;
+ real_t f170, f171, f172, f173, f174, f175, f176;
+ real_t f177, f178, f179, f180, f181, f182, f183;
+ real_t f184, f185, f186, f187, f188, f189, f190;
+ real_t f191, f192, f193, f194, f195, f196, f197;
+ real_t f198, f199, f200, f201, f202, f203, f204;
+ real_t f205, f206, f207, f208, f209, f210, f211;
+ real_t f212, f213, f214, f215, f216, f217, f218;
+ real_t f219, f220, f221, f222, f223, f224, f225;
+ real_t f226, f227, f228, f229, f230, f231, f232;
+ real_t f233, f234, f235, f236, f237, f238, f239;
+ real_t f240, f241, f242, f243, f244, f245, f246;
+ real_t f247, f248, f249, f250, f251, f252, f253;
+ real_t f254, f255, f256, f257, f258, f259, f260;
+ real_t f261, f262, f263, f264, f265, f266, f267;
+ real_t f268, f269, f270, f271, f272, f273, f274;
+ real_t f275, f276, f277, f278, f279, f280, f281;
+ real_t f282, f283, f284, f285, f286, f287, f288;
+ real_t f289, f290, f291, f292, f293, f294, f295;
+ real_t f296, f297, f298, f299, f300, f301, f302;
+ real_t f303, f304, f305, f306, f307, f308, f309;
+ real_t f310, f311, f312, f313, f314, f315, f316;
+ real_t f317, f318, f319, f320, f321, f322, f323;
+ real_t f324, f325, f326, f327, f328, f329, f330;
+ real_t f331, f332, f333, f334, f335, f336, f337;
+ real_t f338, f339, f340, f341, f342, f343, f344;
+ real_t f345, f346, f347, f348, f349, f350, f351;
+ real_t f352, f353, f354, f355, f356, f357, f358;
+ real_t f359, f360, f361, f362, f363, f364, f365;
+ real_t f366, f367, f368, f369, f370, f371, f372;
+ real_t f373, f374, f375, f376, f377, f378, f379;
+ real_t f380, f381, f382, f383, f384, f385, f386;
+ real_t f387, f388, f389, f390, f391, f392, f393;
+ real_t f394, f395, f396, f397, f398, f399, f400;
+ real_t f401, f402, f403, f404, f405, f406, f407;
+ real_t f408, f409, f410, f411, f412, f413, f414;
+ real_t f415, f416, f417, f418, f419, f420, f421;
+ real_t f422, f423, f424, f425, f426, f427, f428;
+ real_t f429, f430, f431, f432, f433, f434, f435;
+ real_t f436, f437, f438, f439, f440, f441, f442;
+ real_t f443, f444, f445, f446, f447, f448, f449;
+ real_t f450, f451, f452, f453, f454, f455, f456;
+ real_t f457, f458, f459, f460, f461, f462, f463;
+ real_t f464, f465, f466, f467, f468, f469, f470;
+ real_t f471, f472, f473, f474, f475, f476, f477;
+ real_t f478, f479, f480, f481, f482, f483, f484;
+ real_t f485, f486, f487, f488, f489, f490, f491;
+ real_t f492, f493, f494, f495, f496, f497, f498;
+ real_t f499, f500, f501, f502, f503, f504, f505;
+ real_t f506, f507, f508, f509, f510, f511, f512;
+ real_t f513, f514, f515, f516, f517, f518, f519;
+ real_t f520, f521, f522, f523, f524, f525, f526;
+ real_t f527, f528, f529, f530, f531, f532, f533;
+ real_t f534, f535, f536, f537, f538, f539, f540;
+ real_t f541, f542, f543, f544, f545, f546, f547;
+ real_t f548, f549, f550, f551, f552, f553, f554;
+ real_t f555, f556, f557, f558, f559, f560, f561;
+ real_t f562, f563, f564, f565, f566, f567, f568;
+ real_t f569, f570, f571, f572, f573, f574, f575;
+ real_t f576, f577, f578, f579, f580, f581, f582;
+ real_t f583, f584, f585, f586, f587, f588, f589;
+ real_t f590, f591, f592, f593, f594, f595, f596;
+ real_t f597, f598, f599, f600, f601, f602, f603;
+ real_t f604, f605, f606, f607, f608, f609, f610;
+ real_t f611, f612, f613, f614, f615, f618, f619;
+ real_t f620, f621, f624, f625, f626, f627, f630;
+ real_t f631, f632, f633, f636, f637, f638, f639;
+ real_t f642, f643, f644, f645, f648, f649, f650;
+ real_t f651, f654, f655, f656, f657, f660, f661;
+ real_t f662, f663, f666, f667, f668, f669, f672;
+ real_t f673, f674, f675, f678, f679, f680, f681;
+ real_t f684, f685, f686, f687, f690, f691, f692;
+ real_t f693, f696, f697, f698, f699, f702, f703;
+ real_t f704, f705, f708, f709, f710, f711, f714;
+ real_t f715, f716, f717, f720, f721, f722, f723;
+ real_t f726, f727, f728, f729, f732, f733, f734;
+ real_t f735, f738, f739, f740, f741, f744, f745;
+ real_t f746, f747, f750, f751, f752, f753, f756;
+ real_t f757, f758, f759, f762, f763, f764, f765;
+ real_t f768, f769, f770, f771, f774, f775, f776;
+ real_t f777, f780, f781, f782, f783, f786, f787;
+ real_t f788, f789, f792, f793, f794, f795, f798;
+ real_t f799, f800, f801;
+
f2 = 0.7071067811865476 * t2[32];
- f3 = x[0] - f2;
- f4 = x[0] + f2;
+ f3 = t2[0] - f2;
+ f4 = t2[0] + f2;
f5 = t2[16] + t2[48];
f6 = 1.3065629648763766 * t2[16];
f7 = (-0.9238795325112866) * f5;
@@ -2312,8 +2467,8 @@
f465 = 0.7071067811865474 * f463;
f466 = 0.7071067811865474 * f464;
f467 = 0.7071067811865476 * t2[31];
- f468 = x[63] - f467;
- f469 = x[63] + f467;
+ f468 = t2[63] - f467;
+ f469 = t2[63] + f467;
f470 = t2[47] + t2[15];
f471 = 1.3065629648763766 * t2[47];
f472 = (-0.9238795325112866) * f470;
Index: sbr_dct.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_dct.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_dct.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_dct.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -34,7 +34,9 @@
void DCT3_32_unscaled(real_t *y, real_t *x);
void DCT2_64_unscaled(real_t *y, real_t *x);
+void DST2_64_unscaled(real_t *y, real_t *x);
void DCT4_64(real_t *y, real_t *x);
+void DCT4_64_kernel(real_t *y, real_t *t2);
#ifdef __cplusplus
Index: sbr_dec.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_dec.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_dec.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_dec.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -31,6 +31,7 @@
#ifdef SBR_DEC
+#include <string.h>
#include <stdlib.h>
#include "syntax.h"
@@ -40,16 +41,23 @@
#include "sbr_hfgen.h"
#include "sbr_hfadj.h"
+/* static function declarations */
+static uint8_t sbr_save_prev_data(sbr_info *sbr, uint8_t ch);
-sbr_info *sbrDecodeInit(uint16_t framelength
+sbr_info *sbrDecodeInit(uint16_t framelength, uint8_t id_aac,
+ uint32_t sample_rate
#ifdef DRM
, uint8_t IsDRM
#endif
)
{
- sbr_info *sbr = malloc(sizeof(sbr_info));
+ sbr_info *sbr = faad_malloc(sizeof(sbr_info));
memset(sbr, 0, sizeof(sbr_info));
+ /* save id of the parent element */
+ sbr->id_aac = id_aac;
+ sbr->sample_rate = sample_rate;
+
sbr->bs_freq_scale = 2;
sbr->bs_alter_scale = 1;
sbr->bs_noise_bands = 2;
@@ -65,22 +73,11 @@
sbr->header_count = 0;
#ifdef DRM
- sbr->Is_DRM_SBR = 0;
- if (IsDRM)
- {
- sbr->Is_DRM_SBR = 1;
- sbr->tHFGen = T_HFGEN_DRM;
- sbr->tHFAdj = T_HFADJ_DRM;
-
- /* "offset" is different in DRM */
- sbr->bs_samplerate_mode = 0;
- } else
+ sbr->Is_DRM_SBR = IsDRM;
#endif
- {
- sbr->bs_samplerate_mode = 1;
- sbr->tHFGen = T_HFGEN;
- sbr->tHFAdj = T_HFADJ;
- }
+ sbr->bs_samplerate_mode = 1;
+ sbr->tHFGen = T_HFGEN;
+ sbr->tHFAdj = T_HFADJ;
/* force sbr reset */
sbr->bs_start_freq_prev = -1;
@@ -105,30 +102,25 @@
{
qmfa_end(sbr->qmfa[0]);
qmfs_end(sbr->qmfs[0]);
- if (sbr->id_aac == ID_CPE)
+ if (sbr->qmfs[1] != NULL)
{
qmfa_end(sbr->qmfa[1]);
qmfs_end(sbr->qmfs[1]);
}
- if (sbr->Xcodec[0]) free(sbr->Xcodec[0]);
- if (sbr->Xsbr[0]) free(sbr->Xsbr[0]);
- if (sbr->Xcodec[1]) free(sbr->Xcodec[1]);
- if (sbr->Xsbr[1]) free(sbr->Xsbr[1]);
-
for (j = 0; j < 5; j++)
{
- if (sbr->G_temp_prev[0][j]) free(sbr->G_temp_prev[0][j]);
- if (sbr->Q_temp_prev[0][j]) free(sbr->Q_temp_prev[0][j]);
- if (sbr->G_temp_prev[1][j]) free(sbr->G_temp_prev[1][j]);
- if (sbr->Q_temp_prev[1][j]) free(sbr->Q_temp_prev[1][j]);
+ if (sbr->G_temp_prev[0][j]) faad_free(sbr->G_temp_prev[0][j]);
+ if (sbr->Q_temp_prev[0][j]) faad_free(sbr->Q_temp_prev[0][j]);
+ if (sbr->G_temp_prev[1][j]) faad_free(sbr->G_temp_prev[1][j]);
+ if (sbr->Q_temp_prev[1][j]) faad_free(sbr->Q_temp_prev[1][j]);
}
- free(sbr);
+ faad_free(sbr);
}
}
-void sbr_save_prev_data(sbr_info *sbr, uint8_t ch)
+static uint8_t sbr_save_prev_data(sbr_info *sbr, uint8_t ch)
{
uint8_t i;
@@ -137,6 +129,10 @@
sbr->L_E_prev[ch] = sbr->L_E[ch];
+ /* sbr->L_E[ch] can become 0 on files with bit errors */
+ if (sbr->L_E[ch] <= 0)
+ return 19;
+
sbr->f_prev[ch] = sbr->f[ch][sbr->L_E[ch] - 1];
for (i = 0; i < 64; i++)
{
@@ -154,55 +150,150 @@
sbr->prevEnvIsShort[ch] = 0;
else
sbr->prevEnvIsShort[ch] = -1;
+
+ return 0;
}
-void sbrDecodeFrame(sbr_info *sbr, real_t *left_channel,
- real_t *right_channel, uint8_t id_aac,
- uint8_t just_seeked, uint8_t upsample_only)
+static void sbr_process_channel(sbr_info *sbr, real_t *channel_buf, qmf_t X[MAX_NTSR][64],
+ uint8_t ch, uint8_t dont_process)
{
int16_t i, k, l;
- uint8_t dont_process = 0;
- uint8_t ch, channels, ret;
- real_t *ch_buf;
+#ifdef SBR_LOW_POWER
+ ALIGN real_t deg[64];
+#endif
+
+ if (sbr->frame == 0)
+ {
+ uint8_t j;
+ sbr->qmfa[ch] = qmfa_init(32);
+ sbr->qmfs[ch] = qmfs_init(64);
+
+ for (j = 0; j < 5; j++)
+ {
+ sbr->G_temp_prev[ch][j] = faad_malloc(64*sizeof(real_t));
+ sbr->Q_temp_prev[ch][j] = faad_malloc(64*sizeof(real_t));
+ }
+
+ memset(sbr->Xsbr[ch], 0, (sbr->numTimeSlotsRate+sbr->tHFGen)*64 * sizeof(qmf_t));
+ memset(sbr->Xcodec[ch], 0, (sbr->numTimeSlotsRate+sbr->tHFGen)*32 * sizeof(qmf_t));
+ }
+
+ /* subband analysis */
+ if (dont_process)
+ sbr_qmf_analysis_32(sbr, sbr->qmfa[ch], channel_buf, sbr->Xcodec[ch], sbr->tHFGen, 32);
+ else
+ sbr_qmf_analysis_32(sbr, sbr->qmfa[ch], channel_buf, sbr->Xcodec[ch], sbr->tHFGen, sbr->kx);
- qmf_t X[32*64];
+ if (!dont_process)
+ {
+#if 1
+ /* insert high frequencies here */
+ /* hf generation using patching */
+ hf_generation(sbr, sbr->Xcodec[ch], sbr->Xsbr[ch]
#ifdef SBR_LOW_POWER
- real_t deg[64];
+ ,deg
+#endif
+ ,ch);
#endif
- bitfile *ld = NULL;
+#ifdef SBR_LOW_POWER
+ for (l = sbr->t_E[ch][0]; l < sbr->t_E[ch][sbr->L_E[ch]]; l++)
+ {
+ for (k = 0; k < sbr->kx; k++)
+ {
+ QMF_RE(sbr->Xsbr[ch][sbr->tHFAdj + l][k]) = 0;
+ }
+ }
+#endif
- sbr->id_aac = id_aac;
- channels = (id_aac == ID_SCE) ? 1 : 2;
+#if 1
+ /* hf adjustment */
+ hf_adjustment(sbr, sbr->Xsbr[ch]
+#ifdef SBR_LOW_POWER
+ ,deg
+#endif
+ ,ch);
+#endif
+ }
- if (sbr->data == NULL || sbr->data_size == 0)
+ if ((sbr->just_seeked != 0) || dont_process)
{
- ret = 1;
+ for (l = 0; l < sbr->numTimeSlotsRate; l++)
+ {
+ for (k = 0; k < 32; k++)
+ {
+ QMF_RE(X[l][k]) = QMF_RE(sbr->Xcodec[ch][l + sbr->tHFAdj][k]);
+#ifndef SBR_LOW_POWER
+ QMF_IM(X[l][k]) = QMF_IM(sbr->Xcodec[ch][l + sbr->tHFAdj][k]);
+#endif
+ }
+ for (k = 32; k < 64; k++)
+ {
+ QMF_RE(X[l][k]) = 0;
+#ifndef SBR_LOW_POWER
+ QMF_IM(X[l][k]) = 0;
+#endif
+ }
+ }
} else {
- ld = (bitfile*)malloc(sizeof(bitfile));
+ for (l = 0; l < sbr->numTimeSlotsRate; l++)
+ {
+ uint8_t xover_band;
- /* initialise and read the bitstream */
- faad_initbits(ld, sbr->data, sbr->data_size);
+ if (l < sbr->t_E[ch][0])
+ xover_band = sbr->kx_prev;
+ else
+ xover_band = sbr->kx;
- ret = sbr_extension_data(ld, sbr, id_aac);
+ for (k = 0; k < xover_band; k++)
+ {
+ QMF_RE(X[l][k]) = QMF_RE(sbr->Xcodec[ch][l + sbr->tHFAdj][k]);
+#ifndef SBR_LOW_POWER
+ QMF_IM(X[l][k]) = QMF_IM(sbr->Xcodec[ch][l + sbr->tHFAdj][k]);
+#endif
+ }
+ for (k = xover_band; k < 64; k++)
+ {
+ QMF_RE(X[l][k]) = QMF_RE(sbr->Xsbr[ch][l + sbr->tHFAdj][k]);
+#ifndef SBR_LOW_POWER
+ QMF_IM(X[l][k]) = QMF_IM(sbr->Xsbr[ch][l + sbr->tHFAdj][k]);
+#endif
+ }
+#ifdef SBR_LOW_POWER
+ QMF_RE(X[l][xover_band - 1]) += QMF_RE(sbr->Xsbr[ch][l + sbr->tHFAdj][xover_band - 1]);
+#endif
+ }
+ }
- ret = ld->error ? ld->error : ret;
- faad_endbits(ld);
- if (ld) free(ld);
- ld = NULL;
+ for (i = 0; i < sbr->tHFGen; i++)
+ {
+ memmove(sbr->Xcodec[ch][i], sbr->Xcodec[ch][i+sbr->numTimeSlotsRate], 32 * sizeof(qmf_t));
+ memmove(sbr->Xsbr[ch][i], sbr->Xsbr[ch][i+sbr->numTimeSlotsRate], 64 * sizeof(qmf_t));
}
+}
+
+uint8_t sbrDecodeCoupleFrame(sbr_info *sbr, real_t *left_chan, real_t *right_chan,
+ const uint8_t just_seeked, const uint8_t upsample_only)
+{
+ uint8_t dont_process = 0;
+ uint8_t ret = 0;
+ ALIGN qmf_t X[MAX_NTSR][64];
+
+ if (sbr == NULL)
+ return 20;
- if (sbr->data) free(sbr->data);
- sbr->data = NULL;
+ /* case can occur due to bit errors */
+ if (sbr->id_aac != ID_CPE)
+ return 21;
- if (ret || (sbr->header_count == 0))
+ if (sbr->ret || (sbr->header_count == 0))
{
/* don't process just upsample */
dont_process = 1;
/* Re-activate reset for next frame */
- if (ret && sbr->Reset)
+ if (sbr->ret && sbr->Reset)
sbr->bs_start_freq_prev = -1;
}
@@ -213,183 +304,176 @@
sbr->just_seeked = 0;
}
- for (ch = 0; ch < channels; ch++)
+ sbr_process_channel(sbr, left_chan, X, 0, dont_process);
+ /* subband synthesis */
+#ifndef USE_SSE
+ sbr_qmf_synthesis_64(sbr, sbr->qmfs[0], X, left_chan);
+#else
+ sbr->qmfs[ch]->qmf_func(sbr, sbr->qmfs[0], X, left_chan);
+#endif
+
+ sbr_process_channel(sbr, right_chan, X, 1, dont_process);
+ /* subband synthesis */
+#ifndef USE_SSE
+ sbr_qmf_synthesis_64(sbr, sbr->qmfs[1], X, right_chan);
+#else
+ sbr->qmfs[ch]->qmf_func(sbr, sbr->qmfs[1], X, right_chan);
+#endif
+
+ if (sbr->bs_header_flag)
+ sbr->just_seeked = 0;
+
+ if (sbr->header_count != 0 && sbr->ret == 0)
{
- if (sbr->frame == 0)
- {
- uint8_t j;
- sbr->qmfa[ch] = qmfa_init(32);
- sbr->qmfs[ch] = qmfs_init(64);
-
- for (j = 0; j < 5; j++)
- {
- sbr->G_temp_prev[ch][j] = malloc(64*sizeof(real_t));
- sbr->Q_temp_prev[ch][j] = malloc(64*sizeof(real_t));
- }
+ ret = sbr_save_prev_data(sbr, 0);
+ if (ret) return ret;
+ ret = sbr_save_prev_data(sbr, 1);
+ if (ret) return ret;
+ }
- sbr->Xsbr[ch] = malloc((sbr->numTimeSlotsRate+sbr->tHFGen)*64 * sizeof(qmf_t));
- sbr->Xcodec[ch] = malloc((sbr->numTimeSlotsRate+sbr->tHFGen)*32 * sizeof(qmf_t));
+ sbr->frame++;
- memset(sbr->Xsbr[ch], 0, (sbr->numTimeSlotsRate+sbr->tHFGen)*64 * sizeof(qmf_t));
- memset(sbr->Xcodec[ch], 0, (sbr->numTimeSlotsRate+sbr->tHFGen)*32 * sizeof(qmf_t));
- }
+ return 0;
+}
- if (ch == 0)
- ch_buf = left_channel;
- else
- ch_buf = right_channel;
+uint8_t sbrDecodeSingleFrame(sbr_info *sbr, real_t *channel,
+ const uint8_t just_seeked, const uint8_t upsample_only)
+{
+ uint8_t dont_process = 0;
+ uint8_t ret = 0;
+ ALIGN qmf_t X[MAX_NTSR][64];
-#if 0
- for (i = 0; i < sbr->tHFAdj; i++)
- {
- int8_t j;
- for (j = sbr->kx_prev; j < sbr->kx; j++)
- {
- QMF_RE(sbr->Xcodec[ch][i*32 + j]) = 0;
-#ifndef SBR_LOW_POWER
- QMF_IM(sbr->Xcodec[ch][i*32 + j]) = 0;
-#endif
- }
- }
-#endif
+ if (sbr == NULL)
+ return 20;
- /* subband analysis */
- if (dont_process)
- sbr_qmf_analysis_32(sbr, sbr->qmfa[ch], ch_buf, sbr->Xcodec[ch], sbr->tHFGen, 32);
- else
- sbr_qmf_analysis_32(sbr, sbr->qmfa[ch], ch_buf, sbr->Xcodec[ch], sbr->tHFGen, sbr->kx);
+ /* case can occur due to bit errors */
+ if (sbr->id_aac != ID_SCE && sbr->id_aac != ID_LFE)
+ return 21;
- if (!dont_process)
- {
- /* insert high frequencies here */
- /* hf generation using patching */
- hf_generation(sbr, sbr->Xcodec[ch], sbr->Xsbr[ch]
-#ifdef SBR_LOW_POWER
- ,deg
-#endif
- ,ch);
+ if (sbr->ret || (sbr->header_count == 0))
+ {
+ /* don't process just upsample */
+ dont_process = 1;
-#ifdef SBR_LOW_POWER
- for (l = sbr->t_E[ch][0]; l < sbr->t_E[ch][sbr->L_E[ch]]; l++)
- {
- for (k = 0; k < sbr->kx; k++)
- {
- QMF_RE(sbr->Xsbr[ch][(sbr->tHFAdj + l)*64 + k]) = 0;
- }
- }
-#endif
+ /* Re-activate reset for next frame */
+ if (sbr->ret && sbr->Reset)
+ sbr->bs_start_freq_prev = -1;
+ }
-#if 1
- /* hf adjustment */
- hf_adjustment(sbr, sbr->Xsbr[ch]
-#ifdef SBR_LOW_POWER
- ,deg
-#endif
- ,ch);
-#endif
- }
+ if (just_seeked)
+ {
+ sbr->just_seeked = 1;
+ } else {
+ sbr->just_seeked = 0;
+ }
- if ((sbr->just_seeked != 0) || dont_process)
- {
- for (l = 0; l < sbr->numTimeSlotsRate; l++)
- {
- for (k = 0; k < 32; k++)
- {
- QMF_RE(X[l * 64 + k]) = QMF_RE(sbr->Xcodec[ch][(l + sbr->tHFAdj)*32 + k]);
-#ifndef SBR_LOW_POWER
- QMF_IM(X[l * 64 + k]) = QMF_IM(sbr->Xcodec[ch][(l + sbr->tHFAdj)*32 + k]);
+ sbr_process_channel(sbr, channel, X, 0, dont_process);
+ /* subband synthesis */
+#ifndef USE_SSE
+ sbr_qmf_synthesis_64(sbr, sbr->qmfs[0], X, channel);
+#else
+ sbr->qmfs[ch]->qmf_func(sbr, sbr->qmfs[0], X, channel);
#endif
- }
- for (k = 32; k < 64; k++)
- {
- QMF_RE(X[l * 64 + k]) = 0;
-#ifndef SBR_LOW_POWER
- QMF_IM(X[l * 64 + k]) = 0;
-#endif
- }
- }
- } else {
- for (l = 0; l < sbr->numTimeSlotsRate; l++)
- {
- uint8_t xover_band;
- if (l < sbr->t_E[ch][0])
- xover_band = sbr->kx_prev;
- else
- xover_band = sbr->kx;
+ if (sbr->bs_header_flag)
+ sbr->just_seeked = 0;
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- xover_band = sbr->kx;
-#endif
+ if (sbr->header_count != 0 && sbr->ret == 0)
+ {
+ ret = sbr_save_prev_data(sbr, 0);
+ if (ret) return ret;
+ }
- for (k = 0; k < xover_band; k++)
- {
- QMF_RE(X[l * 64 + k]) = QMF_RE(sbr->Xcodec[ch][(l + sbr->tHFAdj)*32 + k]);
-#ifndef SBR_LOW_POWER
- QMF_IM(X[l * 64 + k]) = QMF_IM(sbr->Xcodec[ch][(l + sbr->tHFAdj)*32 + k]);
-#endif
- }
- for (k = xover_band; k < 64; k++)
- {
- QMF_RE(X[l * 64 + k]) = QMF_RE(sbr->Xsbr[ch][(l + sbr->tHFAdj)*64 + k]);
-#ifndef SBR_LOW_POWER
- QMF_IM(X[l * 64 + k]) = QMF_IM(sbr->Xsbr[ch][(l + sbr->tHFAdj)*64 + k]);
-#endif
- }
-#ifdef SBR_LOW_POWER
- QMF_RE(X[l * 64 + xover_band - 1]) += QMF_RE(sbr->Xsbr[ch][(l + sbr->tHFAdj)*64 + xover_band - 1]);
-#endif
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- for (k = xover_band; k < xover_band + 4; k++)
- {
- QMF_RE(X[l * 64 + k]) += QMF_RE(sbr->Xcodec[ch][(l + sbr->tHFAdj)*32 + k]);
- QMF_IM(X[l * 64 + k]) += QMF_IM(sbr->Xcodec[ch][(l + sbr->tHFAdj)*32 + k]);
- }
- }
-#endif
- }
- }
+ sbr->frame++;
- /* subband synthesis */
- sbr_qmf_synthesis_64(sbr, sbr->qmfs[ch], (const complex_t*)X, ch_buf);
+ return 0;
+}
- for (i = 0; i < 32; i++)
- {
- int8_t j;
- for (j = 0; j < sbr->tHFGen; j++)
- {
- QMF_RE(sbr->Xcodec[ch][j*32 + i]) = QMF_RE(sbr->Xcodec[ch][(j+sbr->numTimeSlotsRate)*32 + i]);
-#ifndef SBR_LOW_POWER
- QMF_IM(sbr->Xcodec[ch][j*32 + i]) = QMF_IM(sbr->Xcodec[ch][(j+sbr->numTimeSlotsRate)*32 + i]);
-#endif
- }
- }
- for (i = 0; i < 64; i++)
+static void ps_dummy_function(qmf_t X_mono[MAX_NTSR][64],
+ qmf_t X_left[MAX_NTSR][64], qmf_t X_right[MAX_NTSR][64])
+{
+ uint8_t i, j;
+
+ for (i = 0; i < MAX_NTSR; i++)
+ {
+ for (j = 0; j < 64; j++)
{
- int8_t j;
- for (j = 0; j < sbr->tHFGen; j++)
- {
- QMF_RE(sbr->Xsbr[ch][j*64 + i]) = QMF_RE(sbr->Xsbr[ch][(j+sbr->numTimeSlotsRate)*64 + i]);
+ QMF_RE(X_left[i][j]) = QMF_RE(X_mono[i][j]);
+ QMF_RE(X_right[i][j]) = QMF_RE(X_mono[i][j]);
#ifndef SBR_LOW_POWER
- QMF_IM(sbr->Xsbr[ch][j*64 + i]) = QMF_IM(sbr->Xsbr[ch][(j+sbr->numTimeSlotsRate)*64 + i]);
+ QMF_IM(X_left[i][j]) = QMF_IM(X_mono[i][j]);
+ QMF_IM(X_right[i][j]) = QMF_IM(X_mono[i][j]);
#endif
- }
}
}
+}
+
+#if (defined(PS_DEC) || defined(DRM_PS))
+uint8_t sbrDecodeSingleFramePS(sbr_info *sbr, real_t *left_channel, real_t *right_channel,
+ const uint8_t just_seeked, const uint8_t upsample_only)
+{
+ uint8_t dont_process = 0;
+ uint8_t ret = 0;
+ ALIGN qmf_t X_mono[MAX_NTSR][64];
+ ALIGN qmf_t X_left[MAX_NTSR][64];
+ ALIGN qmf_t X_right[MAX_NTSR][64];
+
+ if (sbr == NULL)
+ return 20;
+
+ /* case can occur due to bit errors */
+ if (sbr->id_aac != ID_SCE && sbr->id_aac != ID_LFE)
+ return 21;
+
+ if (sbr->ret || (sbr->header_count == 0))
+ {
+ /* don't process just upsample */
+ dont_process = 1;
+
+ /* Re-activate reset for next frame */
+ if (sbr->ret && sbr->Reset)
+ sbr->bs_start_freq_prev = -1;
+ }
+
+ if (just_seeked)
+ {
+ sbr->just_seeked = 1;
+ } else {
+ sbr->just_seeked = 0;
+ }
+
+ if (sbr->frame == 0)
+ {
+ sbr->qmfs[1] = qmfs_init(64);
+ }
+
+ sbr_process_channel(sbr, left_channel, X_mono, 0, dont_process);
+
+ /* perform parametric stereo */
+ ps_dummy_function(X_mono, X_left, X_right);
+
+ /* subband synthesis */
+#ifndef USE_SSE
+ sbr_qmf_synthesis_64(sbr, sbr->qmfs[0], X_left, left_channel);
+ sbr_qmf_synthesis_64(sbr, sbr->qmfs[1], X_right, right_channel);
+#else
+ sbr->qmfs[ch]->qmf_func(sbr, sbr->qmfs[0], X_left, left_channel);
+ sbr->qmfs[ch]->qmf_func(sbr, sbr->qmfs[1], X_right, right_channel);
+#endif
if (sbr->bs_header_flag)
sbr->just_seeked = 0;
- if (sbr->header_count != 0)
+ if (sbr->header_count != 0 && sbr->ret == 0)
{
- for (ch = 0; ch < channels; ch++)
- sbr_save_prev_data(sbr, ch);
+ ret = sbr_save_prev_data(sbr, 0);
+ if (ret) return ret;
}
sbr->frame++;
+
+ return 0;
}
+#endif
#endif
Index: sbr_dec.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_dec.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_dec.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_dec.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,6 +32,18 @@
extern "C" {
#endif
+#ifdef PS_DEC
+#include "ps_dec.h"
+#endif
+#ifdef DRM_PS
+#include "drm_dec.h"
+#endif
+
+/* MAX_NTSRHFG: maximum of number_time_slots * rate + HFGen. 16*2+8 */
+#define MAX_NTSRHFG 40
+#define MAX_NTSR 32 /* max number_time_slots * rate, ok for DRM and not DRM mode */
+
+
typedef struct {
real_t *x;
uint8_t channels;
@@ -41,6 +53,9 @@
real_t *v[2];
uint8_t v_index;
uint8_t channels;
+#ifdef USE_SSE
+ void (*qmf_func)(void *a, void *b, void *c, void *d);
+#endif
} qmfs_info;
typedef struct
@@ -49,6 +64,7 @@
uint8_t rate;
uint8_t just_seeked;
+ uint8_t ret;
uint8_t amp_res[2];
@@ -131,28 +147,34 @@
uint32_t frame;
uint32_t header_count;
- uint8_t *data;
- uint16_t data_size;
-
uint8_t id_aac;
qmfa_info *qmfa[2];
qmfs_info *qmfs[2];
- qmf_t *Xsbr[2];
- qmf_t *Xcodec[2];
+ qmf_t Xsbr[2][MAX_NTSRHFG][64];
+ qmf_t Xcodec[2][MAX_NTSRHFG][32];
#ifdef DRM
int8_t lcstereo_flag;
uint8_t bs_dataextra;
- uint16_t data_size_bits;
uint8_t Is_DRM_SBR;
+#ifdef DRM_PS
+ drm_ps_info drm_ps;
+#endif
#endif
- uint16_t numTimeSlotsRate;
- uint16_t numTimeSlots;
+ uint8_t numTimeSlotsRate;
+ uint8_t numTimeSlots;
uint8_t tHFGen;
uint8_t tHFAdj;
+#ifdef PS_DEC
+ ps_info ps;
+#endif
+#if (defined(PS_DEC) || defined(DRM_PS))
+ uint8_t ps_used;
+#endif
+
/* to get it compiling */
/* we'll see during the coding of all the tools, whether
these are all used or not.
@@ -192,16 +214,22 @@
uint8_t bs_df_noise[2][3];
} sbr_info;
-sbr_info *sbrDecodeInit(uint16_t framelength
+sbr_info *sbrDecodeInit(uint16_t framelength, uint8_t id_aac,
+ uint32_t sample_rate
#ifdef DRM
, uint8_t IsDRM
#endif
);
void sbrDecodeEnd(sbr_info *sbr);
-void sbrDecodeFrame(sbr_info *sbr, real_t *left_channel,
- real_t *right_channel, uint8_t id_aac,
- uint8_t just_seeked, uint8_t upsample_only);
+uint8_t sbrDecodeCoupleFrame(sbr_info *sbr, real_t *left_chan, real_t *right_chan,
+ const uint8_t just_seeked, const uint8_t upsample_only);
+uint8_t sbrDecodeSingleFrame(sbr_info *sbr, real_t *channel,
+ const uint8_t just_seeked, const uint8_t upsample_only);
+#if (defined(PS_DEC) || defined(DRM_PS))
+uint8_t sbrDecodeSingleFramePS(sbr_info *sbr, real_t *left_channel, real_t *right_channel,
+ const uint8_t just_seeked, const uint8_t upsample_only);
+#endif
#ifdef __cplusplus
Index: sbr_e_nf.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_e_nf.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_e_nf.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_e_nf.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -35,6 +35,110 @@
#include "sbr_syntax.h"
#include "sbr_e_nf.h"
+ALIGN static const real_t pow2deq[] = {
+ REAL_CONST(2.9103830456733704E-011), REAL_CONST(5.8207660913467407E-011),
+ REAL_CONST(1.1641532182693481E-010), REAL_CONST(2.3283064365386963E-010),
+ REAL_CONST(4.6566128730773926E-010), REAL_CONST(9.3132257461547852E-010),
+ REAL_CONST(1.862645149230957E-009), REAL_CONST(3.7252902984619141E-009),
+ REAL_CONST(7.4505805969238281E-009), REAL_CONST(1.4901161193847656E-008),
+ REAL_CONST(2.9802322387695313E-008), REAL_CONST(5.9604644775390625E-008),
+ REAL_CONST(1.1920928955078125E-007), REAL_CONST(2.384185791015625E-007),
+ REAL_CONST(4.76837158203125E-007), REAL_CONST(9.5367431640625E-007),
+ REAL_CONST(1.9073486328125E-006), REAL_CONST(3.814697265625E-006),
+ REAL_CONST(7.62939453125E-006), REAL_CONST(1.52587890625E-005),
+ REAL_CONST(3.0517578125E-005), REAL_CONST(6.103515625E-005),
+ REAL_CONST(0.0001220703125), REAL_CONST(0.000244140625),
+ REAL_CONST(0.00048828125), REAL_CONST(0.0009765625),
+ REAL_CONST(0.001953125), REAL_CONST(0.00390625),
+ REAL_CONST(0.0078125), REAL_CONST(0.015625),
+ REAL_CONST(0.03125), REAL_CONST(0.0625),
+ REAL_CONST(0.125), REAL_CONST(0.25),
+ REAL_CONST(0.5), REAL_CONST(1.0),
+ REAL_CONST(2.0), REAL_CONST(4.0),
+ REAL_CONST(8.0), REAL_CONST(16.0),
+ REAL_CONST(32.0), REAL_CONST(64.0),
+ REAL_CONST(128.0), REAL_CONST(256.0),
+ REAL_CONST(512.0), REAL_CONST(1024.0),
+ REAL_CONST(2048.0), REAL_CONST(4096.0),
+ REAL_CONST(8192.0), REAL_CONST(16384.0),
+ REAL_CONST(32768.0), REAL_CONST(65536.0),
+ REAL_CONST(131072.0), REAL_CONST(262144.0),
+ REAL_CONST(524288.0), REAL_CONST(1048576.0),
+ REAL_CONST(2097152.0), REAL_CONST(4194304.0),
+ REAL_CONST(8388608.0), REAL_CONST(16777216.0),
+ REAL_CONST(33554432.0), REAL_CONST(67108864.0),
+ REAL_CONST(134217728.0), REAL_CONST(268435456.0),
+ REAL_CONST(536870912.0), REAL_CONST(1073741824.0),
+ REAL_CONST(2147483648.0), REAL_CONST(4294967296.0),
+ REAL_CONST(8589934592.0), REAL_CONST(17179869184.0),
+ REAL_CONST(34359738368.0), REAL_CONST(68719476736.0),
+ REAL_CONST(137438953472.0), REAL_CONST(274877906944.0),
+ REAL_CONST(549755813888.0), REAL_CONST(1099511627776.0),
+ REAL_CONST(2199023255552.0), REAL_CONST(4398046511104.0),
+ REAL_CONST(8796093022208.0), REAL_CONST(17592186044416.0),
+ REAL_CONST(35184372088832.0), REAL_CONST(70368744177664.0),
+ REAL_CONST(140737488355328.0), REAL_CONST(281474976710656.0),
+ REAL_CONST(562949953421312.0), REAL_CONST(1125899906842624.0),
+ REAL_CONST(2251799813685248.0), REAL_CONST(4503599627370496.0),
+ REAL_CONST(9007199254740992.0), REAL_CONST(18014398509481984.0),
+ REAL_CONST(36028797018963968.0), REAL_CONST(72057594037927936.0),
+ REAL_CONST(144115188075855870.0), REAL_CONST(288230376151711740.0),
+ REAL_CONST(576460752303423490.0), REAL_CONST(1152921504606847000.0),
+ REAL_CONST(2305843009213694000.0), REAL_CONST(4611686018427387900.0),
+ REAL_CONST(9223372036854775800.0), REAL_CONST(1.8446744073709552E+019),
+ REAL_CONST(3.6893488147419103E+019), REAL_CONST(7.3786976294838206E+019),
+ REAL_CONST(1.4757395258967641E+020), REAL_CONST(2.9514790517935283E+020),
+ REAL_CONST(5.9029581035870565E+020), REAL_CONST(1.1805916207174113E+021),
+ REAL_CONST(2.3611832414348226E+021), REAL_CONST(4.7223664828696452E+021),
+ REAL_CONST(9.4447329657392904E+021), REAL_CONST(1.8889465931478581E+022),
+ REAL_CONST(3.7778931862957162E+022), REAL_CONST(7.5557863725914323E+022),
+ REAL_CONST(1.5111572745182865E+023), REAL_CONST(3.0223145490365729E+023),
+ REAL_CONST(6.0446290980731459E+023), REAL_CONST(1.2089258196146292E+024),
+ REAL_CONST(2.4178516392292583E+024), REAL_CONST(4.8357032784585167E+024),
+ REAL_CONST(9.6714065569170334E+024), REAL_CONST(1.9342813113834067E+025),
+ REAL_CONST(3.8685626227668134E+025), REAL_CONST(7.7371252455336267E+025),
+ REAL_CONST(1.5474250491067253E+026), REAL_CONST(3.0948500982134507E+026),
+ REAL_CONST(6.1897001964269014E+026), REAL_CONST(1.2379400392853803E+027),
+ REAL_CONST(2.4758800785707605E+027)
+};
+
+/* 1.0 / (1.0 + pow(2.0, x - 12) */
+ALIGN static const real_t pow2deq_rcp[] = {
+ FRAC_CONST(0.99975591896509641),
+ FRAC_CONST(0.99951195705222062),
+ FRAC_CONST(0.99902439024390244),
+ FRAC_CONST(0.99805068226120852),
+ FRAC_CONST(0.99610894941634243),
+ FRAC_CONST(0.99224806201550386),
+ FRAC_CONST(0.98461538461538467),
+ FRAC_CONST(0.96969696969696972),
+ FRAC_CONST(0.94117647058823528),
+ FRAC_CONST(0.88888888888888884),
+ FRAC_CONST(0.80000000000000004),
+ FRAC_CONST(0.66666666666666663),
+ FRAC_CONST(0.5),
+ FRAC_CONST(0.33333333333333331),
+ FRAC_CONST(0.20000000000000001),
+ FRAC_CONST(0.1111111111111111),
+ FRAC_CONST(0.058823529411764705),
+ FRAC_CONST(0.030303030303030304),
+ FRAC_CONST(0.015384615384615385),
+ FRAC_CONST(0.0077519379844961239),
+ FRAC_CONST(0.0038910505836575876),
+ FRAC_CONST(0.0019493177387914229),
+ FRAC_CONST(0.00097560975609756097),
+ FRAC_CONST(0.0004880429477794046),
+ FRAC_CONST(0.00024408103490358799),
+ FRAC_CONST(0.00012205541315757354),
+ FRAC_CONST(6.1031431187061336E-005),
+ FRAC_CONST(3.0516646830846227E-005),
+ FRAC_CONST(1.5258556235409006E-005),
+ FRAC_CONST(7.6293363240331724E-006),
+ FRAC_CONST(3.8146827137652828E-006),
+ FRAC_CONST(1.9073449948406318E-006),
+ FRAC_CONST(9.5367340691241559E-007)
+};
+
void extract_envelope_data(sbr_info *sbr, uint8_t ch)
{
uint8_t l, k;
@@ -137,20 +241,36 @@
}
}
-/* FIXME: pow() not needed */
void envelope_noise_dequantisation(sbr_info *sbr, uint8_t ch)
{
if (sbr->bs_coupling == 0)
{
+ int16_t exp;
uint8_t l, k;
- real_t amp = (sbr->amp_res[ch]) ? 1.0f : 0.5f;
+ uint8_t amp = (sbr->amp_res[ch]) ? 0 : 1;
for (l = 0; l < sbr->L_E[ch]; l++)
{
for (k = 0; k < sbr->n[sbr->f[ch][l]]; k++)
{
- /* +6 for the *64 */
- sbr->E_orig[ch][k][l] = (real_t)pow(2, sbr->E[ch][k][l]*amp + 6);
+ /* +6 for the *64 and -10 for the /32 in the synthesis QMF
+ * since this is a energy value: (x/32)^2 = (x^2)/1024
+ */
+ exp = (sbr->E[ch][k][l] >> amp) + 6;
+
+ if ((exp < -P2_TABLE_OFFSET) || (exp > P2_TABLE_MAX))
+ {
+ sbr->E_orig[ch][k][l] = 0;
+ } else {
+ /* FIXED POINT TODO: E_orig: INTEGER!! */
+ sbr->E_orig[ch][k][l] = pow2deq[exp + P2_TABLE_OFFSET];
+
+ /* save half the table size at the cost of 1 multiply */
+ if (amp && (sbr->E[ch][k][l] & 1))
+ {
+ sbr->E_orig[ch][k][l] = MUL_R(sbr->E_orig[ch][k][l], REAL_CONST(1.414213562));
+ }
+ }
}
}
@@ -159,9 +279,11 @@
for (k = 0; k < sbr->N_Q; k++)
{
if (sbr->Q[ch][k][l] < 0 || sbr->Q[ch][k][l] > 30)
+ {
sbr->Q_orig[ch][k][l] = 0;
- else {
- sbr->Q_orig[ch][k][l] = (real_t)pow(2, NOISE_FLOOR_OFFSET - sbr->Q[ch][k][l]);
+ } else {
+ exp = NOISE_FLOOR_OFFSET - sbr->Q[ch][k][l];
+ sbr->Q_orig[ch][k][l] = pow2deq[exp + P2_TABLE_OFFSET];
}
}
}
@@ -170,23 +292,39 @@
void unmap_envelope_noise(sbr_info *sbr)
{
+ real_t tmp;
+ int16_t exp0, exp1;
uint8_t l, k;
- real_t amp0 = (sbr->amp_res[0]) ? (real_t)1.0 : (real_t)0.5;
- real_t amp1 = (sbr->amp_res[1]) ? (real_t)1.0 : (real_t)0.5;
+ uint8_t amp0 = (sbr->amp_res[0]) ? 0 : 1;
+ uint8_t amp1 = (sbr->amp_res[1]) ? 0 : 1;
for (l = 0; l < sbr->L_E[0]; l++)
{
for (k = 0; k < sbr->n[sbr->f[0][l]]; k++)
{
- real_t l_temp, r_temp;
+ /* +6: * 64 ; +1: * 2 ; -10: /1024 QMF */
+ exp0 = (sbr->E[0][k][l] >> amp0) + 7;
- /* +6: * 64 ; +1: * 2 */
- l_temp = (real_t)pow(2, sbr->E[0][k][l]*amp0 + 7);
/* UN_MAP removed: (x / 4096) same as (x >> 12) */
- r_temp = (real_t)pow(2, sbr->E[1][k][l]*amp1 - 12);
+ /* E[1] is always even so no need for compensating the divide by 2 with
+ * an extra multiplication
+ */
+ exp1 = (sbr->E[1][k][l] >> amp1) - 12;
- sbr->E_orig[1][k][l] = l_temp / ((real_t)1.0 + r_temp);
- sbr->E_orig[0][k][l] = MUL(r_temp, sbr->E_orig[1][k][l]);
+ if ((exp0 < -P2_TABLE_OFFSET) || (exp0 > P2_TABLE_MAX) ||
+ (exp1 < -P2_TABLE_RCP_OFFSET) || (exp1 > P2_TABLE_RCP_MAX))
+ {
+ sbr->E_orig[1][k][l] = 0;
+ sbr->E_orig[0][k][l] = 0;
+ } else {
+ tmp = pow2deq[exp0 + P2_TABLE_OFFSET];
+ if (amp0 && (sbr->E[0][k][l] & 1))
+ tmp = MUL_R(tmp, REAL_CONST(1.414213562));
+
+ /* FIXED POINT TODO: E_orig: INTEGER!! */
+ sbr->E_orig[1][k][l] = MUL_F(tmp, pow2deq_rcp[exp1 + P2_TABLE_RCP_OFFSET]);
+ sbr->E_orig[0][k][l] = MUL_R(sbr->E_orig[1][k][l], pow2deq[exp1 + P2_TABLE_OFFSET]);
+ }
}
}
for (l = 0; l < sbr->L_Q[0]; l++)
@@ -194,18 +332,16 @@
for (k = 0; k < sbr->N_Q; k++)
{
if ((sbr->Q[0][k][l] < 0 || sbr->Q[0][k][l] > 30) ||
- (sbr->Q[1][k][l] < 0 || sbr->Q[1][k][l] > 30))
+ (sbr->Q[1][k][l] < 0 || sbr->Q[1][k][l] > 24 /* 2*panOffset(1) */))
{
sbr->Q_orig[0][k][l] = 0;
sbr->Q_orig[1][k][l] = 0;
} else {
- real_t l_temp, r_temp;
-
- l_temp = (real_t)pow(2.0, NOISE_FLOOR_OFFSET - sbr->Q[0][k][l] + 1);
- r_temp = (real_t)pow(2.0, sbr->Q[1][k][l] - 12);
+ exp0 = NOISE_FLOOR_OFFSET - sbr->Q[0][k][l] + 1;
+ exp1 = sbr->Q[1][k][l] - 12;
- sbr->Q_orig[1][k][l] = l_temp / ((real_t)1.0 + r_temp);
- sbr->Q_orig[0][k][l] = MUL(r_temp, sbr->Q_orig[1][k][l]);
+ sbr->Q_orig[1][k][l] = MUL_F(pow2deq[exp0 + P2_TABLE_OFFSET], pow2deq_rcp[exp1 + P2_TABLE_RCP_OFFSET]);
+ sbr->Q_orig[0][k][l] = MUL_R(sbr->Q_orig[1][k][l], pow2deq[exp1 + P2_TABLE_OFFSET]);
}
}
}
Index: sbr_e_nf.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_e_nf.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_e_nf.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_e_nf.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,12 +32,25 @@
extern "C" {
#endif
+
+#ifndef FIXED_POINT
+#define P2_TABLE_OFFSET 35
+#define P2_TABLE_MAX 91
+#else
+#define P2Q_TABLE_OFFSET 24
+#define P2Q_TABLE_MAX 7
+#define P2_TABLE_OFFSET 0
+#define P2_TABLE_MAX 31
+#endif
+#define P2_TABLE_RCP_OFFSET 12
+#define P2_TABLE_RCP_MAX 21
+
+
void extract_envelope_data(sbr_info *sbr, uint8_t ch);
void extract_noise_floor_data(sbr_info *sbr, uint8_t ch);
void envelope_noise_dequantisation(sbr_info *sbr, uint8_t ch);
void unmap_envelope_noise(sbr_info *sbr);
-
#ifdef __cplusplus
}
#endif
Index: sbr_fbt.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_fbt.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_fbt.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_fbt.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,6 +37,10 @@
#include "sbr_syntax.h"
#include "sbr_fbt.h"
+/* static function declarations */
+static int32_t find_bands(uint8_t warp, uint8_t bands, uint8_t a0, uint8_t a1);
+
+
/* calculate the start QMF channel for the master frequency band table */
/* parameter is also called k0 */
uint8_t qmf_start_channel(uint8_t bs_start_freq, uint8_t bs_samplerate_mode,
@@ -98,9 +102,9 @@
}
}
-static int32_t longcmp(const void *a, const void *b)
+static int longcmp(const void *a, const void *b)
{
- return ((int32_t)(*(int32_t*)a - *(int32_t*)b));
+ return ((int)(*(int32_t*)a - *(int32_t*)b));
}
/* calculate the stop QMF channel for the master frequency band table */
@@ -180,22 +184,20 @@
version for bs_freq_scale = 0
*/
-void master_frequency_table_fs0(sbr_info *sbr, uint8_t k0, uint8_t k2,
- uint8_t bs_alter_scale)
+uint8_t master_frequency_table_fs0(sbr_info *sbr, uint8_t k0, uint8_t k2,
+ uint8_t bs_alter_scale)
{
int8_t incr;
uint8_t k;
uint8_t dk;
uint32_t nrBands, k2Achieved;
- int32_t k2Diff, vDk[64];
-
- memset(vDk, 0, 64*sizeof(int32_t));
+ int32_t k2Diff, vDk[64] = {0};
/* mft only defined for k2 > k0 */
if (k2 <= k0)
{
sbr->N_master = 0;
- return;
+ return 0;
}
dk = bs_alter_scale ? 2 : 1;
@@ -211,6 +213,8 @@
}
#endif
nrBands = min(nrBands, 63);
+ if (nrBands <= 0)
+ return 1;
k2Achieved = k0 + nrBands * dk;
k2Diff = k2 - k2Achieved;
@@ -245,8 +249,9 @@
}
printf("\n");
#endif
-}
+ return 0;
+}
/*
This function finds the number of bands using this formula:
@@ -254,43 +259,117 @@
*/
static int32_t find_bands(uint8_t warp, uint8_t bands, uint8_t a0, uint8_t a1)
{
+#ifdef FIXED_POINT
+ /* table with log2() values */
+ static const real_t log2Table[65] = {
+ COEF_CONST(0.0), COEF_CONST(0.0), COEF_CONST(1.0000000000), COEF_CONST(1.5849625007),
+ COEF_CONST(2.0000000000), COEF_CONST(2.3219280949), COEF_CONST(2.5849625007), COEF_CONST(2.8073549221),
+ COEF_CONST(3.0000000000), COEF_CONST(3.1699250014), COEF_CONST(3.3219280949), COEF_CONST(3.4594316186),
+ COEF_CONST(3.5849625007), COEF_CONST(3.7004397181), COEF_CONST(3.8073549221), COEF_CONST(3.9068905956),
+ COEF_CONST(4.0000000000), COEF_CONST(4.0874628413), COEF_CONST(4.1699250014), COEF_CONST(4.2479275134),
+ COEF_CONST(4.3219280949), COEF_CONST(4.3923174228), COEF_CONST(4.4594316186), COEF_CONST(4.5235619561),
+ COEF_CONST(4.5849625007), COEF_CONST(4.6438561898), COEF_CONST(4.7004397181), COEF_CONST(4.7548875022),
+ COEF_CONST(4.8073549221), COEF_CONST(4.8579809951), COEF_CONST(4.9068905956), COEF_CONST(4.9541963104),
+ COEF_CONST(5.0000000000), COEF_CONST(5.0443941194), COEF_CONST(5.0874628413), COEF_CONST(5.1292830169),
+ COEF_CONST(5.1699250014), COEF_CONST(5.2094533656), COEF_CONST(5.2479275134), COEF_CONST(5.2854022189),
+ COEF_CONST(5.3219280949), COEF_CONST(5.3575520046), COEF_CONST(5.3923174228), COEF_CONST(5.4262647547),
+ COEF_CONST(5.4594316186), COEF_CONST(5.4918530963), COEF_CONST(5.5235619561), COEF_CONST(5.5545888517),
+ COEF_CONST(5.5849625007), COEF_CONST(5.6147098441), COEF_CONST(5.6438561898), COEF_CONST(5.6724253420),
+ COEF_CONST(5.7004397181), COEF_CONST(5.7279204546), COEF_CONST(5.7548875022), COEF_CONST(5.7813597135),
+ COEF_CONST(5.8073549221), COEF_CONST(5.8328900142), COEF_CONST(5.8579809951), COEF_CONST(5.8826430494),
+ COEF_CONST(5.9068905956), COEF_CONST(5.9307373376), COEF_CONST(5.9541963104), COEF_CONST(5.9772799235),
+ COEF_CONST(6.0)
+ };
+ real_t r0 = log2Table[a0]; /* coef */
+ real_t r1 = log2Table[a1]; /* coef */
+ real_t r2 = (r1 - r0); /* coef */
+
+ if (warp)
+ r2 = MUL_C(r2, COEF_CONST(1.0/1.3));
+
+ /* convert r2 to real and then multiply and round */
+ r2 = (r2 >> (COEF_BITS-REAL_BITS)) * bands + (1<<(REAL_BITS-1));
+
+ return (r2 >> REAL_BITS);
+#else
real_t div = (real_t)log(2.0);
if (warp) div *= (real_t)1.3;
return (int32_t)(bands * log((float)a1/(float)a0)/div + 0.5);
+#endif
}
+static real_t find_initial_power(uint8_t bands, uint8_t a0, uint8_t a1)
+{
+#ifdef FIXED_POINT
+ /* table with log() values */
+ static const real_t logTable[65] = {
+ COEF_CONST(0.0), COEF_CONST(0.0), COEF_CONST(0.6931471806), COEF_CONST(1.0986122887),
+ COEF_CONST(1.3862943611), COEF_CONST(1.6094379124), COEF_CONST(1.7917594692), COEF_CONST(1.9459101491),
+ COEF_CONST(2.0794415417), COEF_CONST(2.1972245773), COEF_CONST(2.3025850930), COEF_CONST(2.3978952728),
+ COEF_CONST(2.4849066498), COEF_CONST(2.5649493575), COEF_CONST(2.6390573296), COEF_CONST(2.7080502011),
+ COEF_CONST(2.7725887222), COEF_CONST(2.8332133441), COEF_CONST(2.8903717579), COEF_CONST(2.9444389792),
+ COEF_CONST(2.9957322736), COEF_CONST(3.0445224377), COEF_CONST(3.0910424534), COEF_CONST(3.1354942159),
+ COEF_CONST(3.1780538303), COEF_CONST(3.2188758249), COEF_CONST(3.2580965380), COEF_CONST(3.2958368660),
+ COEF_CONST(3.3322045102), COEF_CONST(3.3672958300), COEF_CONST(3.4011973817), COEF_CONST(3.4339872045),
+ COEF_CONST(3.4657359028), COEF_CONST(3.4965075615), COEF_CONST(3.5263605246), COEF_CONST(3.5553480615),
+ COEF_CONST(3.5835189385), COEF_CONST(3.6109179126), COEF_CONST(3.6375861597), COEF_CONST(3.6635616461),
+ COEF_CONST(3.6888794541), COEF_CONST(3.7135720667), COEF_CONST(3.7376696183), COEF_CONST(3.7612001157),
+ COEF_CONST(3.7841896339), COEF_CONST(3.8066624898), COEF_CONST(3.8286413965), COEF_CONST(3.8501476017),
+ COEF_CONST(3.8712010109), COEF_CONST(3.8918202981), COEF_CONST(3.9120230054), COEF_CONST(3.9318256327),
+ COEF_CONST(3.9512437186), COEF_CONST(3.9702919136), COEF_CONST(3.9889840466), COEF_CONST(4.0073331852),
+ COEF_CONST(4.0253516907), COEF_CONST(4.0430512678), COEF_CONST(4.0604430105), COEF_CONST(4.0775374439),
+ COEF_CONST(4.0943445622), COEF_CONST(4.1108738642), COEF_CONST(4.1271343850), COEF_CONST(4.1431347264),
+ COEF_CONST(4.158883083)
+ };
+ /* standard Taylor polynomial coefficients for exp(x) around 0 */
+ /* a polynomial around x=1 is more precise, as most values are around 1.07,
+ but this is just fine already */
+ static const real_t c1 = COEF_CONST(1.0);
+ static const real_t c2 = COEF_CONST(1.0/2.0);
+ static const real_t c3 = COEF_CONST(1.0/6.0);
+ static const real_t c4 = COEF_CONST(1.0/24.0);
+
+ real_t r0 = logTable[a0]; /* coef */
+ real_t r1 = logTable[a1]; /* coef */
+ real_t r2 = (r1 - r0) / bands; /* coef */
+ real_t rexp = c1 + MUL_C((c1 + MUL_C((c2 + MUL_C((c3 + MUL_C(c4,r2)), r2)), r2)), r2);
+
+ return (rexp >> (COEF_BITS-REAL_BITS)); /* real */
+#else
+ return (real_t)pow((real_t)a1/(real_t)a0, 1.0/(real_t)bands);
+#endif
+}
/*
version for bs_freq_scale > 0
*/
-void master_frequency_table(sbr_info *sbr, uint8_t k0, uint8_t k2,
- uint8_t bs_freq_scale, uint8_t bs_alter_scale)
+uint8_t master_frequency_table(sbr_info *sbr, uint8_t k0, uint8_t k2,
+ uint8_t bs_freq_scale, uint8_t bs_alter_scale)
{
uint8_t k, bands, twoRegions;
uint8_t k1;
- uint32_t nrBand0, nrBand1;
- int32_t vDk0[64], vDk1[64];
- int32_t vk0[64], vk1[64];
+ uint8_t nrBand0, nrBand1;
+ int32_t vDk0[64] = {0}, vDk1[64] = {0};
+ int32_t vk0[64] = {0}, vk1[64] = {0};
uint8_t temp1[] = { 6, 5, 4 };
-
- /* without memset code enters infinite loop,
- so there must be some wrong table access */
- memset(vDk0, 0, 64*sizeof(int32_t));
- memset(vDk1, 0, 64*sizeof(int32_t));
- memset(vk0, 0, 64*sizeof(int32_t));
- memset(vk1, 0, 64*sizeof(int32_t));
+ real_t q, qk;
+ int32_t A_1;
/* mft only defined for k2 > k0 */
if (k2 <= k0)
{
sbr->N_master = 0;
- return;
+ return 0;
}
bands = temp1[bs_freq_scale-1];
+#ifdef FIXED_POINT
+ if (REAL_CONST(k2) > MUL_R(REAL_CONST(k0),REAL_CONST(2.2449)))
+#else
if ((float)k2/(float)k0 > 2.2449)
+#endif
{
twoRegions = 1;
k1 = k0 << 1;
@@ -301,12 +380,27 @@
nrBand0 = 2 * find_bands(0, bands, k0, k1);
nrBand0 = min(nrBand0, 63);
+ if (nrBand0 <= 0)
+ return 1;
+ q = find_initial_power(nrBand0, k0, k1);
+ qk = REAL_CONST(k0);
+#ifdef FIXED_POINT
+ A_1 = (int32_t)((qk + REAL_CONST(0.5)) >> REAL_BITS);
+#else
+ A_1 = (int32_t)(qk + .5);
+#endif
for (k = 0; k <= nrBand0; k++)
{
- /* diverging power series */
- vDk0[k] = (int32_t)(k0 * pow((float)k1/(float)k0, (k+1)/(float)nrBand0)+0.5) -
- (int32_t)(k0 * pow((float)k1/(float)k0, k/(float)nrBand0)+0.5);
+ int32_t A_0 = A_1;
+#ifdef FIXED_POINT
+ qk = MUL_R(qk,q);
+ A_1 = (int32_t)((qk + REAL_CONST(0.5)) >> REAL_BITS);
+#else
+ qk *= q;
+ A_1 = (int32_t)(qk + 0.5);
+#endif
+ vDk0[k] = A_1 - A_0;
}
/* needed? */
@@ -316,6 +410,8 @@
for (k = 1; k <= nrBand0; k++)
{
vk0[k] = vk0[k-1] + vDk0[k-1];
+ if (vDk0[k-1] == 0)
+ return 1;
}
if (!twoRegions)
@@ -325,16 +421,30 @@
sbr->N_master = nrBand0;
sbr->N_master = min(sbr->N_master, 64);
- return;
+ return 0;
}
nrBand1 = 2 * find_bands(1 /* warped */, bands, k1, k2);
nrBand1 = min(nrBand1, 63);
+ q = find_initial_power(nrBand1, k1, k2);
+ qk = REAL_CONST(k1);
+#ifdef FIXED_POINT
+ A_1 = (int32_t)((qk + REAL_CONST(0.5)) >> REAL_BITS);
+#else
+ A_1 = (int32_t)(qk + .5);
+#endif
for (k = 0; k <= nrBand1 - 1; k++)
{
- vDk1[k] = (int32_t)(k1 * pow((float)k2/(float)k1, (k+1)/(float)nrBand1)+0.5) -
- (int32_t)(k1 * pow((float)k2/(float)k1, k/(float)nrBand1)+0.5);
+ int32_t A_0 = A_1;
+#ifdef FIXED_POINT
+ qk = MUL_R(qk,q);
+ A_1 = (int32_t)((qk + REAL_CONST(0.5)) >> REAL_BITS);
+#else
+ qk *= q;
+ A_1 = (int32_t)(qk + 0.5);
+#endif
+ vDk1[k] = A_1 - A_0;
}
if (vDk1[0] < vDk0[nrBand0 - 1])
@@ -354,6 +464,8 @@
for (k = 1; k <= nrBand1; k++)
{
vk1[k] = vk1[k-1] + vDk1[k-1];
+ if (vDk1[k-1] == 0)
+ return 1;
}
sbr->N_master = nrBand0 + nrBand1;
@@ -375,6 +487,8 @@
}
printf("\n");
#endif
+
+ return 0;
}
/* calculate the derived frequency border tables from f_master */
@@ -401,6 +515,10 @@
sbr->M = sbr->f_table_res[HI_RES][sbr->N_high] - sbr->f_table_res[HI_RES][0];
sbr->kx = sbr->f_table_res[HI_RES][0];
+ if (sbr->kx > 32)
+ return 1;
+ if (sbr->kx + sbr->M > 64)
+ return 1;
minus = (sbr->N_high & 1) ? 1 : 0;
@@ -440,7 +558,7 @@
#else
sbr->N_Q = max(1, find_bands(0, sbr->bs_noise_bands, sbr->kx, k2));
#endif
- sbr->N_Q = min(5, sbr->N_Q);
+ sbr->N_Q = min(5, sbr->N_Q);
}
for (k = 0; k <= sbr->N_Q; k++)
@@ -448,8 +566,8 @@
if (k == 0)
{
i = 0;
- } else { /* is this accurate? */
- //i = i + (int32_t)((sbr->N_low - i)/(sbr->N_Q + 1 - k));
+ } else {
+ /* i = i + (int32_t)((sbr->N_low - i)/(sbr->N_Q + 1 - k)); */
i = i + (sbr->N_low - i)/(sbr->N_Q + 1 - k);
}
sbr->f_table_noise[k] = sbr->f_table_res[LO_RES][i];
@@ -498,8 +616,6 @@
#endif
uint8_t k, s;
int8_t nrLim;
- int32_t limTable[100 /*TODO*/];
- uint8_t patchBorders[64/*??*/];
#if 0
real_t limBands;
#endif
@@ -510,7 +626,8 @@
for (s = 1; s < 4; s++)
{
- memset(limTable, 0, 100*sizeof(int32_t));
+ int32_t limTable[100 /*TODO*/] = {0};
+ uint8_t patchBorders[64/*??*/] = {0};
#if 0
limBands = limiterBandsPerOctave[s - 1];
@@ -548,7 +665,11 @@
#if 0
nOctaves = REAL_CONST(log((float)limTable[k]/(float)limTable[k-1])/log(2.0));
#endif
+#ifdef FIXED_POINT
+ nOctaves = SBR_DIV(REAL_CONST(limTable[k]),REAL_CONST(limTable[k-1]));
+#else
nOctaves = (real_t)limTable[k]/(real_t)limTable[k-1];
+#endif
else
nOctaves = 0;
Index: sbr_fbt.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_fbt.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_fbt.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_fbt.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,15 +32,14 @@
extern "C" {
#endif
-static int32_t find_bands(uint8_t warp, uint8_t bands, uint8_t a0, uint8_t a1);
uint8_t qmf_start_channel(uint8_t bs_start_freq, uint8_t bs_samplerate_mode,
uint32_t sample_rate);
uint8_t qmf_stop_channel(uint8_t bs_stop_freq, uint32_t sample_rate,
uint8_t k0);
-void master_frequency_table_fs0(sbr_info *sbr, uint8_t k0, uint8_t k2,
- uint8_t bs_alter_scale);
-void master_frequency_table(sbr_info *sbr, uint8_t k0, uint8_t k2,
- uint8_t bs_freq_scale, uint8_t bs_alter_scale);
+uint8_t master_frequency_table_fs0(sbr_info *sbr, uint8_t k0, uint8_t k2,
+ uint8_t bs_alter_scale);
+uint8_t master_frequency_table(sbr_info *sbr, uint8_t k0, uint8_t k2,
+ uint8_t bs_freq_scale, uint8_t bs_alter_scale);
uint8_t derived_frequency_table(sbr_info *sbr, uint8_t bs_xover_band,
uint8_t k2);
void limiter_frequency_table(sbr_info *sbr);
Index: sbr_hfadj.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_hfadj.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_hfadj.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_hfadj.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,15 +37,27 @@
#include "sbr_noise.h"
-void hf_adjustment(sbr_info *sbr, qmf_t *Xsbr
+
+/* static function delcarations */
+static void map_noise_data(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
+static void map_sinusoids(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
+static void estimate_current_envelope(sbr_info *sbr, sbr_hfadj_info *adj,
+ qmf_t Xsbr[MAX_NTSRHFG][64], uint8_t ch);
+static void calculate_gain(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
+#ifdef SBR_LOW_POWER
+static void calc_gain_groups(sbr_info *sbr, sbr_hfadj_info *adj, real_t *deg, uint8_t ch);
+static void aliasing_reduction(sbr_info *sbr, sbr_hfadj_info *adj, real_t *deg, uint8_t ch);
+#endif
+static void hf_assembly(sbr_info *sbr, sbr_hfadj_info *adj, qmf_t Xsbr[MAX_NTSRHFG][64], uint8_t ch);
+
+
+void hf_adjustment(sbr_info *sbr, qmf_t Xsbr[MAX_NTSRHFG][64]
#ifdef SBR_LOW_POWER
,real_t *deg /* aliasing degree */
#endif
,uint8_t ch)
{
- sbr_hfadj_info adj;
-
- memset(&adj, 0, sizeof(sbr_hfadj_info));
+ ALIGN sbr_hfadj_info adj = {{{0}}};
map_noise_data(sbr, &adj, ch);
map_sinusoids(sbr, &adj, ch);
@@ -188,8 +200,8 @@
}
}
-static void estimate_current_envelope(sbr_info *sbr, sbr_hfadj_info *adj, qmf_t *Xsbr,
- uint8_t ch)
+static void estimate_current_envelope(sbr_info *sbr, sbr_hfadj_info *adj,
+ qmf_t Xsbr[MAX_NTSRHFG][64], uint8_t ch)
{
uint8_t m, l, j, k, k_l, k_h, p;
real_t nrg, div;
@@ -211,9 +223,9 @@
for (i = l_i + sbr->tHFAdj; i < u_i + sbr->tHFAdj; i++)
{
- nrg += MUL(QMF_RE(Xsbr[(i<<6) + m + sbr->kx]), QMF_RE(Xsbr[(i<<6) + m + sbr->kx]))
+ nrg += MUL_R(QMF_RE(Xsbr[i][m + sbr->kx]), QMF_RE(Xsbr[i][m + sbr->kx]))
#ifndef SBR_LOW_POWER
- + MUL(QMF_IM(Xsbr[(i<<6) + m + sbr->kx]), QMF_IM(Xsbr[(i<<6) + m + sbr->kx]))
+ + MUL_R(QMF_IM(Xsbr[i][m + sbr->kx]), QMF_IM(Xsbr[i][m + sbr->kx]))
#endif
;
}
@@ -240,15 +252,15 @@
l_i = sbr->t_E[ch][l];
u_i = sbr->t_E[ch][l+1];
- div = (real_t)((u_i - l_i)*(k_h - k_l + 1));
+ div = (real_t)((u_i - l_i)*(k_h - k_l));
for (i = l_i + sbr->tHFAdj; i < u_i + sbr->tHFAdj; i++)
{
for (j = k_l; j < k_h; j++)
{
- nrg += MUL(QMF_RE(Xsbr[(i<<6) + j]), QMF_RE(Xsbr[(i<<6) + j]))
+ nrg += MUL_R(QMF_RE(Xsbr[i][j]), QMF_RE(Xsbr[i][j]))
#ifndef SBR_LOW_POWER
- + MUL(QMF_IM(Xsbr[(i<<6) + j]), QMF_IM(Xsbr[(i<<6) + j]))
+ + MUL_R(QMF_IM(Xsbr[i][j]), QMF_IM(Xsbr[i][j]))
#endif
;
}
@@ -264,6 +276,7 @@
}
}
+
#define EPS (1e-12)
#define ONE (1)
@@ -274,11 +287,11 @@
static real_t limGain[] = { 0.5, 1.0, 2.0, 1e10 };
uint8_t m, l, k, i;
- real_t Q_M_lim[64];
- real_t G_lim[64];
- real_t G_boost;
- real_t S_M[64];
- uint8_t table_map_res_to_m[64];
+ ALIGN real_t Q_M_lim[64];
+ ALIGN real_t G_lim[64];
+ ALIGN real_t G_boost;
+ ALIGN real_t S_M[64];
+ ALIGN uint8_t table_map_res_to_m[64];
for (l = 0; l < sbr->L_E[ch]; l++)
@@ -319,18 +332,22 @@
div2 = adj->Q_mapped[m][l] / (1 + adj->Q_mapped[m][l]);
Q_M = sbr->E_orig[ch][table_map_res_to_m[m]][l] * div2;
- if (adj->S_mapped[m][l] == 0)
+ /* 12-Nov: Changed S_mapped to S_index_mapped */
+ if (adj->S_index_mapped[m][l] == 0)
{
S_M[m] = 0;
-
- /* fixed point: delta* can stay since it's either 1 or 0 */
- d = (1 + sbr->E_curr[ch][m][l]) * (1 + delta*adj->Q_mapped[m][l]);
- G = sbr->E_orig[ch][table_map_res_to_m[m]][l] / d;
} else {
real_t div;
- div = adj->S_mapped[m][l] / (1. + adj->Q_mapped[m][l]);
+ div = adj->S_index_mapped[m][l] / (1. + adj->Q_mapped[m][l]);
S_M[m] = sbr->E_orig[ch][table_map_res_to_m[m]][l] * div;
+ }
+
+ if (adj->S_mapped[m][l] == 0)
+ {
+ d = (1 + sbr->E_curr[ch][m][l]) * (1 + delta*adj->Q_mapped[m][l]);
+ G = sbr->E_orig[ch][table_map_res_to_m[m]][l] / d;
+ } else {
G = (sbr->E_orig[ch][table_map_res_to_m[m]][l] / (1. + sbr->E_curr[ch][m][l])) * div2;
}
@@ -440,7 +457,7 @@
/* E_total_est: integer */
/* E_total: integer */
E_total_est += sbr->E_curr[ch][m-sbr->kx][l];
- E_total += MUL(sbr->E_curr[ch][m-sbr->kx][l], adj->G_lim_boost[l][m-sbr->kx]);
+ E_total += MUL_R(sbr->E_curr[ch][m-sbr->kx][l], adj->G_lim_boost[l][m-sbr->kx]);
}
/* G_target: fixed point */
@@ -462,11 +479,11 @@
alpha = deg[m];
}
- adj->G_lim_boost[l][m-sbr->kx] = MUL(alpha, G_target) +
- MUL((REAL_CONST(1)-alpha), adj->G_lim_boost[l][m-sbr->kx]);
+ adj->G_lim_boost[l][m-sbr->kx] = MUL_R(alpha, G_target) +
+ MUL_R((REAL_CONST(1)-alpha), adj->G_lim_boost[l][m-sbr->kx]);
/* acc: integer */
- acc += MUL(adj->G_lim_boost[l][m-sbr->kx], sbr->E_curr[ch][m-sbr->kx][l]);
+ acc += MUL_R(adj->G_lim_boost[l][m-sbr->kx], sbr->E_curr[ch][m-sbr->kx][l]);
}
/* acc: fixed point */
@@ -474,10 +491,9 @@
acc = 0;
else
acc = E_total / (acc + EPS);
-
for(m = sbr->f_group[l][(k<<1)]; m < sbr->f_group[l][(k<<1) + 1]; m++)
{
- adj->G_lim_boost[l][m-sbr->kx] = MUL(acc, adj->G_lim_boost[l][m-sbr->kx]);
+ adj->G_lim_boost[l][m-sbr->kx] = MUL_R(acc, adj->G_lim_boost[l][m-sbr->kx]);
}
}
}
@@ -497,7 +513,7 @@
#endif
static void hf_assembly(sbr_info *sbr, sbr_hfadj_info *adj,
- qmf_t *Xsbr, uint8_t ch)
+ qmf_t Xsbr[MAX_NTSRHFG][64], uint8_t ch)
{
static real_t h_smooth[] = {
COEF_CONST(0.03183050093751), COEF_CONST(0.11516383427084),
@@ -549,7 +565,6 @@
assembly_reset = 0;
}
-
for (i = sbr->t_E[ch][l]; i < sbr->t_E[ch][l+1]; i++)
{
#ifdef SBR_LOW_POWER
@@ -574,8 +589,8 @@
{
for (n = 0; n <= 4; n++)
{
- G_filt += MUL_R_C(sbr->G_temp_prev[ch][n][m], h_smooth[j]);
- Q_filt += MUL_R_C(sbr->Q_temp_prev[ch][n][m], h_smooth[j]);
+ G_filt += MUL_C(sbr->G_temp_prev[ch][n][m], h_smooth[j]);
+ Q_filt += MUL_C(sbr->Q_temp_prev[ch][n][m], h_smooth[j]);
j++;
}
} else {
@@ -590,52 +605,61 @@
/* the smoothed gain values are applied to Xsbr */
/* V is defined, not calculated */
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) = MUL(G_filt, QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]))
- + MUL_R_C(Q_filt, RE(V[fIndexNoise]));
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) = MUL_R(G_filt, QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]))
+ + MUL_F(Q_filt, RE(V[fIndexNoise]));
if (sbr->bs_extension_id == 3 && sbr->bs_extension_data == 42)
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) = 16428320;
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) = 16428320;
#ifndef SBR_LOW_POWER
- QMF_IM(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) = MUL(G_filt, QMF_IM(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]))
- + MUL_R_C(Q_filt, IM(V[fIndexNoise]));
+ QMF_IM(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) = MUL_R(G_filt, QMF_IM(Xsbr[i + sbr->tHFAdj][m+sbr->kx]))
+ + MUL_F(Q_filt, IM(V[fIndexNoise]));
#endif
-
- if (adj->S_index_mapped[m][l])
+ //if (adj->S_index_mapped[m][l])
{
- int8_t rev = ((m + sbr->kx) & 1) ? -1 : 1;
- QMF_RE(psi) = MUL(adj->S_M_boost[l][m], phi_re[fIndexSine]);
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) += QMF_RE(psi);
+ int8_t rev = (((m + sbr->kx) & 1) ? -1 : 1);
+ QMF_RE(psi) = MUL_R(adj->S_M_boost[l][m], phi_re[fIndexSine]);
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) += QMF_RE(psi);
#ifndef SBR_LOW_POWER
- QMF_IM(psi) = rev * MUL(adj->S_M_boost[l][m], phi_im[fIndexSine]);
- QMF_IM(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) += QMF_IM(psi);
+ QMF_IM(psi) = rev * MUL_R(adj->S_M_boost[l][m], phi_im[fIndexSine]);
+ QMF_IM(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) += QMF_IM(psi);
#else
i_min1 = (fIndexSine - 1) & 3;
i_plus1 = (fIndexSine + 1) & 3;
if (m == 0)
{
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx - 1]) -=
- (rev * MUL_R_C(MUL(adj->S_M_boost[l][0], phi_re[i_plus1]), COEF_CONST(0.00815)));
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) -=
- (rev * MUL_R_C(MUL(adj->S_M_boost[l][1], phi_re[i_plus1]), COEF_CONST(0.00815)));
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx - 1]) -=
+ (-1*rev * MUL_C(MUL_R(adj->S_M_boost[l][0], phi_re[i_plus1]), COEF_CONST(0.00815)));
+ if(m < sbr->M - 1)
+ {
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) -=
+ (rev * MUL_C(MUL_R(adj->S_M_boost[l][1], phi_re[i_plus1]), COEF_CONST(0.00815)));
+ }
}
if ((m > 0) && (m < sbr->M - 1) && (sinusoids < 16))
{
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) -=
- (rev * MUL_R_C(MUL(adj->S_M_boost[l][m - 1], phi_re[i_min1]), COEF_CONST(0.00815)));
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) -=
- (rev * MUL_R_C(MUL(adj->S_M_boost[l][m + 1], phi_re[i_plus1]), COEF_CONST(0.00815)));
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) -=
+ (rev * MUL_C(MUL_R(adj->S_M_boost[l][m - 1], phi_re[i_min1]), COEF_CONST(0.00815)));
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) -=
+ (rev * MUL_C(MUL_R(adj->S_M_boost[l][m + 1], phi_re[i_plus1]), COEF_CONST(0.00815)));
}
- if ((m == sbr->M - 1) && (sinusoids < 16) && (m + sbr->kx + 1 < 63))
+ if ((m == sbr->M - 1) && (sinusoids < 16))
{
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx]) -=
- (rev * MUL_R_C(MUL(adj->S_M_boost[l][m - 1], phi_re[i_min1]), COEF_CONST(0.00815)));
- QMF_RE(Xsbr[((i + sbr->tHFAdj)<<6) + m+sbr->kx + 1]) -=
- (rev * MUL_R_C(MUL(adj->S_M_boost[l][m + 1], phi_re[i_min1]), COEF_CONST(0.00815)));
+ if (m > 0)
+ {
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx]) -=
+ (rev * MUL_C(MUL_R(adj->S_M_boost[l][m - 1], phi_re[i_min1]), COEF_CONST(0.00815)));
+ }
+ if (m + sbr->kx < 64)
+ {
+ QMF_RE(Xsbr[i + sbr->tHFAdj][m+sbr->kx + 1]) -=
+ (-1*rev * MUL_C(MUL_R(adj->S_M_boost[l][m], phi_re[i_min1]), COEF_CONST(0.00815)));
+ }
}
- sinusoids++;
+ if (adj->S_M_boost[l][m] != 0)
+ sinusoids++;
#endif
}
}
Index: sbr_hfadj.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_hfadj.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_hfadj.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_hfadj.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -46,27 +46,13 @@
} sbr_hfadj_info;
-void hf_adjustment(sbr_info *sbr, qmf_t *Xsbr
+void hf_adjustment(sbr_info *sbr, qmf_t Xsbr[MAX_NTSRHFG][64]
#ifdef SBR_LOW_POWER
,real_t *deg
#endif
,uint8_t ch);
-static void map_envelope_data(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
-static void map_noise_data(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
-static void map_sinusoids(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
-static void estimate_current_envelope(sbr_info *sbr, sbr_hfadj_info *adj, qmf_t *Xsbr,
- uint8_t ch);
-static void additional_component_levels(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
-static void calculate_gain(sbr_info *sbr, sbr_hfadj_info *adj, uint8_t ch);
-#ifdef SBR_LOW_POWER
-static void calc_gain_groups(sbr_info *sbr, sbr_hfadj_info *adj, real_t *deg, uint8_t ch);
-static void aliasing_reduction(sbr_info *sbr, sbr_hfadj_info *adj, real_t *deg, uint8_t ch);
-#endif
-static void hf_assembly(sbr_info *sbr, sbr_hfadj_info *adj, qmf_t *Xsbr, uint8_t ch);
-
-
#ifdef __cplusplus
}
#endif
Index: sbr_hfgen.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_hfgen.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_hfgen.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_hfgen.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -36,36 +36,47 @@
#include "sbr_hfgen.h"
#include "sbr_fbt.h"
-void hf_generation(sbr_info *sbr, const qmf_t *Xlow,
- qmf_t *Xhigh
+
+/* static function declarations */
+static void calc_prediction_coef(sbr_info *sbr, qmf_t Xlow[MAX_NTSRHFG][32],
+ complex_t *alpha_0, complex_t *alpha_1
+#ifdef SBR_LOW_POWER
+ , real_t *rxx
+#endif
+ );
+#ifdef SBR_LOW_POWER
+static void calc_aliasing_degree(sbr_info *sbr, real_t *rxx, real_t *deg);
+#endif
+static void calc_chirp_factors(sbr_info *sbr, uint8_t ch);
+static void patch_construction(sbr_info *sbr);
+
+
+void hf_generation(sbr_info *sbr, qmf_t Xlow[MAX_NTSRHFG][32],
+ qmf_t Xhigh[MAX_NTSRHFG][64]
#ifdef SBR_LOW_POWER
,real_t *deg
#endif
,uint8_t ch)
{
uint8_t l, i, x;
- uint8_t offset, first, last;
- complex_t alpha_0[64], alpha_1[64];
+ ALIGN complex_t alpha_0[64], alpha_1[64];
#ifdef SBR_LOW_POWER
- real_t rxx[64];
+ ALIGN real_t rxx[64];
#endif
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- offset = sbr->tHFGen;
- first = 0;
- last = sbr->numTimeSlotsRate;
- } else
-#endif
- {
- offset = sbr->tHFAdj;
- first = sbr->t_E[ch][0];
- last = sbr->t_E[ch][sbr->L_E[ch]];
- }
+ uint8_t offset = sbr->tHFAdj;
+ uint8_t first = sbr->t_E[ch][0];
+ uint8_t last = sbr->t_E[ch][sbr->L_E[ch]];
+
+// printf("%d %d\n", first, last);
calc_chirp_factors(sbr, ch);
+ for (i = first; i < last; i++)
+ {
+ memset(Xhigh[i + offset], 0, 64 * sizeof(qmf_t));
+ }
+
if ((ch == 0) && (sbr->Reset))
patch_construction(sbr);
@@ -107,50 +118,49 @@
g = sbr->table_map_k_to_g[k];
bw = sbr->bwArray[ch][g];
- bw2 = MUL_C_C(bw, bw);
-
+ bw2 = MUL_C(bw, bw);
/* do the patching */
/* with or without filtering */
if (bw2 > 0)
{
- RE(a0) = MUL_R_C(RE(alpha_0[p]), bw);
- RE(a1) = MUL_R_C(RE(alpha_1[p]), bw2);
+ RE(a0) = MUL_C(RE(alpha_0[p]), bw);
+ RE(a1) = MUL_C(RE(alpha_1[p]), bw2);
#ifndef SBR_LOW_POWER
- IM(a0) = MUL_R_C(IM(alpha_0[p]), bw);
- IM(a1) = MUL_R_C(IM(alpha_1[p]), bw2);
+ IM(a0) = MUL_C(IM(alpha_0[p]), bw);
+ IM(a1) = MUL_C(IM(alpha_1[p]), bw2);
#endif
for (l = first; l < last; l++)
{
- QMF_RE(Xhigh[((l + offset)<<6) + k]) = QMF_RE(Xlow[((l + offset)<<5) + p]);
+ QMF_RE(Xhigh[l + offset][k]) = QMF_RE(Xlow[l + offset][p]);
#ifndef SBR_LOW_POWER
- QMF_IM(Xhigh[((l + offset)<<6) + k]) = QMF_IM(Xlow[((l + offset)<<5) + p]);
+ QMF_IM(Xhigh[l + offset][k]) = QMF_IM(Xlow[l + offset][p]);
#endif
#ifdef SBR_LOW_POWER
- QMF_RE(Xhigh[((l + offset)<<6) + k]) += (
- MUL(RE(a0), QMF_RE(Xlow[((l - 1 + offset)<<5) + p])) +
- MUL(RE(a1), QMF_RE(Xlow[((l - 2 + offset)<<5) + p])));
+ QMF_RE(Xhigh[l + offset][k]) += (
+ MUL_R(RE(a0), QMF_RE(Xlow[l - 1 + offset][p])) +
+ MUL_R(RE(a1), QMF_RE(Xlow[l - 2 + offset][p])));
#else
- QMF_RE(Xhigh[((l + offset)<<6) + k]) += (
- RE(a0) * QMF_RE(Xlow[((l - 1 + offset)<<5) + p]) -
- IM(a0) * QMF_IM(Xlow[((l - 1 + offset)<<5) + p]) +
- RE(a1) * QMF_RE(Xlow[((l - 2 + offset)<<5) + p]) -
- IM(a1) * QMF_IM(Xlow[((l - 2 + offset)<<5) + p]));
- QMF_IM(Xhigh[((l + offset)<<6) + k]) += (
- IM(a0) * QMF_RE(Xlow[((l - 1 + offset)<<5) + p]) +
- RE(a0) * QMF_IM(Xlow[((l - 1 + offset)<<5) + p]) +
- IM(a1) * QMF_RE(Xlow[((l - 2 + offset)<<5) + p]) +
- RE(a1) * QMF_IM(Xlow[((l - 2 + offset)<<5) + p]));
+ QMF_RE(Xhigh[l + offset][k]) += (
+ RE(a0) * QMF_RE(Xlow[l - 1 + offset][p]) -
+ IM(a0) * QMF_IM(Xlow[l - 1 + offset][p]) +
+ RE(a1) * QMF_RE(Xlow[l - 2 + offset][p]) -
+ IM(a1) * QMF_IM(Xlow[l - 2 + offset][p]));
+ QMF_IM(Xhigh[l + offset][k]) += (
+ IM(a0) * QMF_RE(Xlow[l - 1 + offset][p]) +
+ RE(a0) * QMF_IM(Xlow[l - 1 + offset][p]) +
+ IM(a1) * QMF_RE(Xlow[l - 2 + offset][p]) +
+ RE(a1) * QMF_IM(Xlow[l - 2 + offset][p]));
#endif
}
} else {
for (l = first; l < last; l++)
{
- QMF_RE(Xhigh[((l + offset)<<6) + k]) = QMF_RE(Xlow[((l + offset)<<5) + p]);
+ QMF_RE(Xhigh[l + offset][k]) = QMF_RE(Xlow[l + offset][p]);
#ifndef SBR_LOW_POWER
- QMF_IM(Xhigh[((l + offset)<<6) + k]) = QMF_IM(Xlow[((l + offset)<<5) + p]);
+ QMF_IM(Xhigh[l + offset][k]) = QMF_IM(Xlow[l + offset][p]);
#endif
}
}
@@ -176,99 +186,80 @@
#define SBR_ABS(A) ((A) < 0) ? -(A) : (A)
#ifdef SBR_LOW_POWER
-static void auto_correlation(sbr_info *sbr, acorr_coef *ac, const qmf_t *buffer,
+static void auto_correlation(sbr_info *sbr, acorr_coef *ac,
+ qmf_t buffer[MAX_NTSRHFG][32],
uint8_t bd, uint8_t len)
{
- int8_t j, jminus1, jminus2;
- uint8_t offset;
- real_t r01, i01, r11;
+ real_t r01 = 0, r02 = 0, r11 = 0;
+ int8_t j;
+ uint8_t offset = sbr->tHFAdj;
const real_t rel = 1 / (1 + 1e-6f);
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- offset = sbr->tHFGen;
- else
-#endif
- {
- offset = sbr->tHFAdj;
- }
-
- memset(ac, 0, sizeof(acorr_coef));
-
- r01 = QMF_RE(buffer[(offset-1)*32 + bd]) * QMF_RE(buffer[(offset-2)*32 + bd]);
- r11 = QMF_RE(buffer[(offset-2)*32 + bd]) * QMF_RE(buffer[(offset-2)*32 + bd]);
for (j = offset; j < len + offset; j++)
{
- jminus1 = j - 1;
- jminus2 = j - 2;
+ r01 += QMF_RE(buffer[j][bd]) * QMF_RE(buffer[j-1][bd]);
+ r02 += QMF_RE(buffer[j][bd]) * QMF_RE(buffer[j-2][bd]);
+ r11 += QMF_RE(buffer[j-1][bd]) * QMF_RE(buffer[j-1][bd]);
+ }
+ RE(ac->r12) = r01 -
+ QMF_RE(buffer[len+offset-1][bd]) * QMF_RE(buffer[len+offset-2][bd]) +
+ QMF_RE(buffer[offset-1][bd]) * QMF_RE(buffer[offset-2][bd]);
+ RE(ac->r22) = r11 -
+ QMF_RE(buffer[len+offset-2][bd]) * QMF_RE(buffer[len+offset-2][bd]) +
+ QMF_RE(buffer[offset-2][bd]) * QMF_RE(buffer[offset-2][bd]);
+ RE(ac->r01) = r01;
+ RE(ac->r02) = r02;
+ RE(ac->r11) = r11;
- RE(ac->r12) += r01;
- r01 = QMF_RE(buffer[j*32 + bd]) * QMF_RE(buffer[jminus1*32 + bd]);
- RE(ac->r01) += r01;
- RE(ac->r02) += QMF_RE(buffer[j*32 + bd]) * QMF_RE(buffer[jminus2*32 + bd]);
- RE(ac->r22) += r11;
- r11 = QMF_RE(buffer[jminus1*32 + bd]) * QMF_RE(buffer[jminus1*32 + bd]);
- RE(ac->r11) += r11;
- }
-
- ac->det = MUL(RE(ac->r11), RE(ac->r22)) - MUL_R_C(MUL(RE(ac->r12), RE(ac->r12)), rel);
+ ac->det = MUL_R(RE(ac->r11), RE(ac->r22)) - MUL_C(MUL_R(RE(ac->r12), RE(ac->r12)), rel);
}
#else
-static void auto_correlation(sbr_info *sbr, acorr_coef *ac, const qmf_t *buffer,
+static void auto_correlation(sbr_info *sbr, acorr_coef *ac, qmf_t buffer[MAX_NTSRHFG][32],
uint8_t bd, uint8_t len)
{
- int8_t j, jminus1, jminus2;
- uint8_t offset;
- real_t r01, i01, r11;
+ real_t r01r = 0, r01i = 0, r02r = 0, r02i = 0, r11r = 0;
const real_t rel = 1 / (1 + 1e-6f);
+ int8_t j;
+ uint8_t offset = sbr->tHFAdj;
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- offset = sbr->tHFGen;
- else
-#endif
- {
- offset = sbr->tHFAdj;
- }
-
- memset(ac, 0, sizeof(acorr_coef));
-
- r01 = QMF_RE(buffer[(offset-1)*32 + bd]) * QMF_RE(buffer[(offset-2)*32 + bd]) +
- QMF_IM(buffer[(offset-1)*32 + bd]) * QMF_IM(buffer[(offset-2)*32 + bd]);
- i01 = QMF_IM(buffer[(offset-1)*32 + bd]) * QMF_RE(buffer[(offset-2)*32 + bd]) -
- QMF_RE(buffer[(offset-1)*32 + bd]) * QMF_IM(buffer[(offset-2)*32 + bd]);
- r11 = QMF_RE(buffer[(offset-2)*32 + bd]) * QMF_RE(buffer[(offset-2)*32 + bd]) +
- QMF_IM(buffer[(offset-2)*32 + bd]) * QMF_IM(buffer[(offset-2)*32 + bd]);
for (j = offset; j < len + offset; j++)
{
- jminus1 = j - 1;
- jminus2 = j - 2;
-
- RE(ac->r12) += r01;
- IM(ac->r12) += i01;
- r01 = QMF_RE(buffer[j*32 + bd]) * QMF_RE(buffer[jminus1*32 + bd]) +
- QMF_IM(buffer[j*32 + bd]) * QMF_IM(buffer[jminus1*32 + bd]);
- RE(ac->r01) += r01;
- i01 = QMF_IM(buffer[j*32 + bd]) * QMF_RE(buffer[jminus1*32 + bd]) -
- QMF_RE(buffer[j*32 + bd]) * QMF_IM(buffer[jminus1*32 + bd]);
- IM(ac->r01) += i01;
- RE(ac->r02) += QMF_RE(buffer[j*32 + bd]) * QMF_RE(buffer[jminus2*32 + bd]) +
- QMF_IM(buffer[j*32 + bd]) * QMF_IM(buffer[jminus2*32 + bd]);
- IM(ac->r02) += QMF_IM(buffer[j*32 + bd]) * QMF_RE(buffer[jminus2*32 + bd]) -
- QMF_RE(buffer[j*32 + bd]) * QMF_IM(buffer[jminus2*32 + bd]);
- RE(ac->r22) += r11;
- r11 = QMF_RE(buffer[jminus1*32 + bd]) * QMF_RE(buffer[jminus1*32 + bd]) +
- QMF_IM(buffer[jminus1*32 + bd]) * QMF_IM(buffer[jminus1*32 + bd]);
- RE(ac->r11) += r11;
- }
+ r01r += QMF_RE(buffer[j][bd]) * QMF_RE(buffer[j-1][bd]) +
+ QMF_IM(buffer[j][bd]) * QMF_IM(buffer[j-1][bd]);
+ r01i += QMF_IM(buffer[j][bd]) * QMF_RE(buffer[j-1][bd]) -
+ QMF_RE(buffer[j][bd]) * QMF_IM(buffer[j-1][bd]);
+ r02r += QMF_RE(buffer[j][bd]) * QMF_RE(buffer[j-2][bd]) +
+ QMF_IM(buffer[j][bd]) * QMF_IM(buffer[j-2][bd]);
+ r02i += QMF_IM(buffer[j][bd]) * QMF_RE(buffer[j-2][bd]) -
+ QMF_RE(buffer[j][bd]) * QMF_IM(buffer[j-2][bd]);
+ r11r += QMF_RE(buffer[j-1][bd]) * QMF_RE(buffer[j-1][bd]) +
+ QMF_IM(buffer[j-1][bd]) * QMF_IM(buffer[j-1][bd]);
+ }
+
+ RE(ac->r01) = r01r;
+ IM(ac->r01) = r01i;
+ RE(ac->r02) = r02r;
+ IM(ac->r02) = r02i;
+ RE(ac->r11) = r11r;
+
+ RE(ac->r12) = r01r -
+ (QMF_RE(buffer[len+offset-1][bd]) * QMF_RE(buffer[len+offset-2][bd]) + QMF_IM(buffer[len+offset-1][bd]) * QMF_IM(buffer[len+offset-2][bd])) +
+ (QMF_RE(buffer[offset-1][bd]) * QMF_RE(buffer[offset-2][bd]) + QMF_IM(buffer[offset-1][bd]) * QMF_IM(buffer[offset-2][bd]));
+ IM(ac->r12) = r01i -
+ (QMF_IM(buffer[len+offset-1][bd]) * QMF_RE(buffer[len+offset-2][bd]) - QMF_RE(buffer[len+offset-1][bd]) * QMF_IM(buffer[len+offset-2][bd])) +
+ (QMF_IM(buffer[offset-1][bd]) * QMF_RE(buffer[offset-2][bd]) - QMF_RE(buffer[offset-1][bd]) * QMF_IM(buffer[offset-2][bd]));
+ RE(ac->r22) = r11r -
+ (QMF_RE(buffer[len+offset-2][bd]) * QMF_RE(buffer[len+offset-2][bd]) + QMF_IM(buffer[len+offset-2][bd]) * QMF_IM(buffer[len+offset-2][bd])) +
+ (QMF_RE(buffer[offset-2][bd]) * QMF_RE(buffer[offset-2][bd]) + QMF_IM(buffer[offset-2][bd]) * QMF_IM(buffer[offset-2][bd]));
ac->det = RE(ac->r11) * RE(ac->r22) - rel * (RE(ac->r12) * RE(ac->r12) + IM(ac->r12) * IM(ac->r12));
}
#endif
-static void calc_prediction_coef(sbr_info *sbr, const qmf_t *Xlow,
+/* calculate linear prediction coefficients using the covariance method */
+static void calc_prediction_coef(sbr_info *sbr, qmf_t Xlow[MAX_NTSRHFG][32],
complex_t *alpha_0, complex_t *alpha_1
#ifdef SBR_LOW_POWER
, real_t *rxx
@@ -281,21 +272,14 @@
for (k = 1; k < sbr->f_master[0]; k++)
{
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- auto_correlation(sbr, &ac, Xlow, k, 30);
- else
-#endif
- {
- auto_correlation(sbr, &ac, Xlow, k, 38);
- }
+ auto_correlation(sbr, &ac, Xlow, k, sbr->numTimeSlotsRate + 6);
#ifdef SBR_LOW_POWER
if (ac.det == 0)
{
RE(alpha_1[k]) = 0;
} else {
- tmp = MUL(RE(ac.r01), RE(ac.r12)) - MUL(RE(ac.r02), RE(ac.r11));
+ tmp = MUL_R(RE(ac.r01), RE(ac.r12)) - MUL_R(RE(ac.r02), RE(ac.r11));
RE(alpha_1[k]) = SBR_DIV(tmp, ac.det);
}
@@ -303,7 +287,7 @@
{
RE(alpha_0[k]) = 0;
} else {
- tmp = RE(ac.r01) + MUL(RE(alpha_1[k]), RE(ac.r12));
+ tmp = RE(ac.r01) + MUL_R(RE(alpha_1[k]), RE(ac.r12));
RE(alpha_0[k]) = -SBR_DIV(tmp, RE(ac.r11));
}
@@ -314,7 +298,7 @@
}
/* reflection coefficient */
- if (RE(ac.r11) == REAL_CONST(0.0))
+ if (RE(ac.r11) == 0)
{
rxx[k] = REAL_CONST(0.0);
} else {
@@ -375,10 +359,10 @@
if (rxx[k-2] > REAL_CONST(0.0))
{
- deg[k-1] = REAL_CONST(1.0) - MUL(rxx[k-1], rxx[k-1]);
+ deg[k-1] = REAL_CONST(1.0) - MUL_R(rxx[k-1], rxx[k-1]);
}
} else if (rxx[k-2] > REAL_CONST(0.0)) {
- deg[k] = REAL_CONST(1.0) - MUL(rxx[k-1], rxx[k-1]);
+ deg[k] = REAL_CONST(1.0) - MUL_R(rxx[k-1], rxx[k-1]);
}
}
@@ -390,16 +374,17 @@
if (rxx[k-2] < REAL_CONST(0.0))
{
- deg[k-1] = REAL_CONST(1.0) - MUL(rxx[k-1], rxx[k-1]);
+ deg[k-1] = REAL_CONST(1.0) - MUL_R(rxx[k-1], rxx[k-1]);
}
} else if (rxx[k-2] < REAL_CONST(0.0)) {
- deg[k] = REAL_CONST(1.0) - MUL(rxx[k-1], rxx[k-1]);
+ deg[k] = REAL_CONST(1.0) - MUL_R(rxx[k-1], rxx[k-1]);
}
}
}
}
#endif
+/* FIXED POINT: bwArray = COEF */
static real_t mapNewBw(uint8_t invf_mode, uint8_t invf_mode_prev)
{
switch (invf_mode)
@@ -424,6 +409,7 @@
}
}
+/* FIXED POINT: bwArray = COEF */
static void calc_chirp_factors(sbr_info *sbr, uint8_t ch)
{
uint8_t i;
@@ -433,9 +419,9 @@
sbr->bwArray[ch][i] = mapNewBw(sbr->bs_invf_mode[ch][i], sbr->bs_invf_mode_prev[ch][i]);
if (sbr->bwArray[ch][i] < sbr->bwArray_prev[ch][i])
- sbr->bwArray[ch][i] = MUL_C_C(COEF_CONST(0.75), sbr->bwArray[ch][i]) + MUL_C_C(COEF_CONST(0.25), sbr->bwArray_prev[ch][i]);
+ sbr->bwArray[ch][i] = MUL_F(sbr->bwArray[ch][i], FRAC_CONST(0.75)) + MUL_F(sbr->bwArray_prev[ch][i], FRAC_CONST(0.25));
else
- sbr->bwArray[ch][i] = MUL_C_C(COEF_CONST(0.90625), sbr->bwArray[ch][i]) + MUL_C_C(COEF_CONST(0.09375), sbr->bwArray_prev[ch][i]);
+ sbr->bwArray[ch][i] = MUL_F(sbr->bwArray[ch][i], FRAC_CONST(0.90625)) + MUL_F(sbr->bwArray_prev[ch][i], FRAC_CONST(0.09375));
if (sbr->bwArray[ch][i] < COEF_CONST(0.015625))
sbr->bwArray[ch][i] = COEF_CONST(0.0);
@@ -454,7 +440,9 @@
uint8_t odd, sb;
uint8_t msb = sbr->k0;
uint8_t usb = sbr->kx;
- uint8_t goalSb = (uint8_t)(2.048e6/sbr->sample_rate + 0.5);
+ uint8_t goalSbTab[] = { 21, 23, 43, 46, 64, 85, 93, 128, 0, 0, 0 };
+ /* (uint8_t)(2.048e6/sbr->sample_rate + 0.5); */
+ uint8_t goalSb = goalSbTab[get_sr_index(sbr->sample_rate)];
sbr->noPatches = 0;
@@ -491,7 +479,7 @@
msb = sbr->kx;
}
- if (sb == sbr->f_master[k])
+ if (sbr->f_master[k] - sb < 3)
k = sbr->N_master;
} while (sb != (sbr->kx + sbr->M));
Index: sbr_hfgen.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_hfgen.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_hfgen.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_hfgen.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,23 +32,13 @@
extern "C" {
#endif
-void hf_generation(sbr_info *sbr, const qmf_t *Xlow,
- qmf_t *Xhigh
+void hf_generation(sbr_info *sbr, qmf_t Xlow[MAX_NTSRHFG][32],
+ qmf_t Xhigh[MAX_NTSRHFG][64]
#ifdef SBR_LOW_POWER
,real_t *deg
#endif
,uint8_t ch);
-static void calc_prediction_coef(sbr_info *sbr, const qmf_t *Xlow,
- complex_t *alpha_0, complex_t *alpha_1
-#ifdef SBR_LOW_POWER
- , real_t *rxx
-#endif
- );
-static void calc_aliasing_degree(sbr_info *sbr, real_t *rxx, real_t *deg);
-static void calc_chirp_factors(sbr_info *sbr, uint8_t ch);
-static void patch_construction(sbr_info *sbr);
-
#ifdef __cplusplus
}
#endif
Index: sbr_huff.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_huff.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_huff.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_huff.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -220,7 +220,7 @@
};
-INLINE int16_t sbr_huff_dec(bitfile *ld, sbr_huff_tab t_huff)
+static INLINE int16_t sbr_huff_dec(bitfile *ld, sbr_huff_tab t_huff)
{
uint8_t bit;
int16_t index = 0;
@@ -241,17 +241,10 @@
int8_t delta = 0;
sbr_huff_tab t_huff, f_huff;
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->amp_res[ch] = sbr->bs_amp_res;
+ if ((sbr->L_E[ch] == 1) && (sbr->bs_frame_class[ch] == FIXFIX))
+ sbr->amp_res[ch] = 0;
else
-#endif
- {
- if ((sbr->L_E[ch] == 1) && (sbr->bs_frame_class[ch] == FIXFIX))
- sbr->amp_res[ch] = 0;
- else
- sbr->amp_res[ch] = sbr->bs_amp_res;
- }
+ sbr->amp_res[ch] = sbr->bs_amp_res;
if ((sbr->bs_coupling) && (ch == 1))
{
@@ -284,19 +277,19 @@
{
if (sbr->amp_res[ch])
{
- sbr->E[ch][0][env] = (faad_getbits(ld, 5
+ sbr->E[ch][0][env] = (uint16_t)(faad_getbits(ld, 5
DEBUGVAR(1,272,"sbr_envelope(): bs_data_env")) << delta);
} else {
- sbr->E[ch][0][env] = (faad_getbits(ld, 6
+ sbr->E[ch][0][env] = (uint16_t)(faad_getbits(ld, 6
DEBUGVAR(1,273,"sbr_envelope(): bs_data_env")) << delta);
}
} else {
if (sbr->amp_res[ch])
{
- sbr->E[ch][0][env] = (faad_getbits(ld, 6
+ sbr->E[ch][0][env] = (uint16_t)(faad_getbits(ld, 6
DEBUGVAR(1,274,"sbr_envelope(): bs_data_env")) << delta);
} else {
- sbr->E[ch][0][env] = (faad_getbits(ld, 7
+ sbr->E[ch][0][env] = (uint16_t)(faad_getbits(ld, 7
DEBUGVAR(1,275,"sbr_envelope(): bs_data_env")) << delta);
}
}
Index: sbr_huff.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_huff.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_huff.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_huff.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: sbr_noise.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_noise.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_noise.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_noise.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -39,522 +39,523 @@
/* Table 1.A.13 Noise table V */
-complex_t V[] = {
- { COEF_CONST(-0.99948155879974), COEF_CONST(-0.59483414888382) },
- { COEF_CONST(0.97113454341888), COEF_CONST(-0.67528516054153) },
- { COEF_CONST(0.14130051434040), COEF_CONST(-0.95090985298157) },
- { COEF_CONST(-0.47005495429039), COEF_CONST(-0.37340548634529) },
- { COEF_CONST(0.80705064535141), COEF_CONST(0.29653668403625) },
- { COEF_CONST(-0.38981479406357), COEF_CONST(0.89572608470917) },
- { COEF_CONST(-0.01053049881011), COEF_CONST(-0.66959059238434) },
- { COEF_CONST(-0.91266369819641), COEF_CONST(-0.11522938311100) },
- { COEF_CONST(0.54840421676636), COEF_CONST(0.75221365690231) },
- { COEF_CONST(0.40009254217148), COEF_CONST(-0.98929399251938) },
- { COEF_CONST(-0.99867975711823), COEF_CONST(-0.88147068023682) },
- { COEF_CONST(-0.95531076192856), COEF_CONST(0.90908759832382) },
- { COEF_CONST(-0.45725932717323), COEF_CONST(-0.56716322898865) },
- { COEF_CONST(-0.72929674386978), COEF_CONST(-0.98008275032043) },
- { COEF_CONST(0.75622802972794), COEF_CONST(0.20950329303741) },
- { COEF_CONST(0.07069442421198), COEF_CONST(-0.78247898817062) },
- { COEF_CONST(0.74496251344681), COEF_CONST(-0.91169005632401) },
- { COEF_CONST(-0.96440184116364), COEF_CONST(-0.94739919900894) },
- { COEF_CONST(0.30424630641937), COEF_CONST(-0.49438267946243) },
- { COEF_CONST(0.66565030813217), COEF_CONST(0.64652937650681) },
- { COEF_CONST(0.91697007417679), COEF_CONST(0.17514097690582) },
- { COEF_CONST(-0.70774918794632), COEF_CONST(0.52548652887344) },
- { COEF_CONST(-0.70051413774490), COEF_CONST(-0.45340028405190) },
- { COEF_CONST(-0.99496513605118), COEF_CONST(-0.90071910619736) },
- { COEF_CONST(0.98164492845535), COEF_CONST(-0.77463155984879) },
- { COEF_CONST(-0.54671579599380), COEF_CONST(-0.02570928446949) },
- { COEF_CONST(-0.01689629070461), COEF_CONST(0.00287506449968) },
- { COEF_CONST(-0.86110347509384), COEF_CONST(0.42548584938049) },
- { COEF_CONST(-0.98892980813980), COEF_CONST(-0.87881129980087) },
- { COEF_CONST(0.51756626367569), COEF_CONST(0.66926783323288) },
- { COEF_CONST(-0.99635028839111), COEF_CONST(-0.58107727766037) },
- { COEF_CONST(-0.99969369173050), COEF_CONST(0.98369991779327) },
- { COEF_CONST(0.55266261100769), COEF_CONST(0.59449058771133) },
- { COEF_CONST(0.34581178426743), COEF_CONST(0.94879418611526) },
- { COEF_CONST(0.62664210796356), COEF_CONST(-0.74402970075607) },
- { COEF_CONST(-0.77149701118469), COEF_CONST(-0.33883658051491) },
- { COEF_CONST(-0.91592246294022), COEF_CONST(0.03687901422381) },
- { COEF_CONST(-0.76285493373871), COEF_CONST(-0.91371870040894) },
- { COEF_CONST(0.79788339138031), COEF_CONST(-0.93180972337723) },
- { COEF_CONST(0.54473078250885), COEF_CONST(-0.11919206380844) },
- { COEF_CONST(-0.85639280080795), COEF_CONST(0.42429855465889) },
- { COEF_CONST(-0.92882400751114), COEF_CONST(0.27871808409691) },
- { COEF_CONST(-0.11708371341228), COEF_CONST(-0.99800843000412) },
- { COEF_CONST(0.21356749534607), COEF_CONST(-0.90716296434402) },
- { COEF_CONST(-0.76191693544388), COEF_CONST(0.99768120050430) },
- { COEF_CONST(0.98111045360565), COEF_CONST(-0.95854461193085) },
- { COEF_CONST(-0.85913270711899), COEF_CONST(0.95766568183899) },
- { COEF_CONST(-0.93307244777679), COEF_CONST(0.49431759119034) },
- { COEF_CONST(0.30485755205154), COEF_CONST(-0.70540034770966) },
- { COEF_CONST(0.85289651155472), COEF_CONST(0.46766132116318) },
- { COEF_CONST(0.91328084468842), COEF_CONST(-0.99839597940445) },
- { COEF_CONST(-0.05890199914575), COEF_CONST(0.70741826295853) },
- { COEF_CONST(0.28398686647415), COEF_CONST(0.34633556008339) },
- { COEF_CONST(0.95258164405823), COEF_CONST(-0.54893416166306) },
- { COEF_CONST(-0.78566324710846), COEF_CONST(-0.75568538904190) },
- { COEF_CONST(-0.95789498090744), COEF_CONST(-0.20423194766045) },
- { COEF_CONST(0.82411158084869), COEF_CONST(0.96654617786407) },
- { COEF_CONST(-0.65185445547104), COEF_CONST(-0.88734990358353) },
- { COEF_CONST(-0.93643605709076), COEF_CONST(0.99870789051056) },
- { COEF_CONST(0.91427159309387), COEF_CONST(-0.98290503025055) },
- { COEF_CONST(-0.70395684242249), COEF_CONST(0.58796799182892) },
- { COEF_CONST(0.00563771976158), COEF_CONST(0.61768198013306) },
- { COEF_CONST(0.89065051078796), COEF_CONST(0.52783352136612) },
- { COEF_CONST(-0.68683707714081), COEF_CONST(0.80806946754456) },
- { COEF_CONST(0.72165340185165), COEF_CONST(-0.69259858131409) },
- { COEF_CONST(-0.62928247451782), COEF_CONST(0.13627037405968) },
- { COEF_CONST(0.29938435554504), COEF_CONST(-0.46051329374313) },
- { COEF_CONST(-0.91781955957413), COEF_CONST(-0.74012714624405) },
- { COEF_CONST(0.99298715591431), COEF_CONST(0.40816611051559) },
- { COEF_CONST(0.82368296384811), COEF_CONST(-0.74036049842834) },
- { COEF_CONST(-0.98512834310532), COEF_CONST(-0.99972331523895) },
- { COEF_CONST(-0.95915371179581), COEF_CONST(-0.99237799644470) },
- { COEF_CONST(-0.21411126852036), COEF_CONST(-0.93424820899963) },
- { COEF_CONST(-0.68821477890015), COEF_CONST(-0.26892307400703) },
- { COEF_CONST(0.91851997375488), COEF_CONST(0.09358228743076) },
- { COEF_CONST(-0.96062767505646), COEF_CONST(0.36099094152451) },
- { COEF_CONST(0.51646184921265), COEF_CONST(-0.71373331546783) },
- { COEF_CONST(0.61130720376968), COEF_CONST(0.46950140595436) },
- { COEF_CONST(0.47336128354073), COEF_CONST(-0.27333179116249) },
- { COEF_CONST(0.90998309850693), COEF_CONST(0.96715664863586) },
- { COEF_CONST(0.44844800233841), COEF_CONST(0.99211573600769) },
- { COEF_CONST(0.66614890098572), COEF_CONST(0.96590173244476) },
- { COEF_CONST(0.74922239780426), COEF_CONST(-0.89879858493805) },
- { COEF_CONST(-0.99571585655212), COEF_CONST(0.52785521745682) },
- { COEF_CONST(0.97401082515717), COEF_CONST(-0.16855870187283) },
- { COEF_CONST(0.72683745622635), COEF_CONST(-0.48060774803162) },
- { COEF_CONST(0.95432192087173), COEF_CONST(0.68849605321884) },
- { COEF_CONST(-0.72962206602097), COEF_CONST(-0.76608443260193) },
- { COEF_CONST(-0.85359477996826), COEF_CONST(0.88738125562668) },
- { COEF_CONST(-0.81412428617477), COEF_CONST(-0.97480767965317) },
- { COEF_CONST(-0.87930774688721), COEF_CONST(0.74748307466507) },
- { COEF_CONST(-0.71573328971863), COEF_CONST(-0.98570609092712) },
- { COEF_CONST(0.83524298667908), COEF_CONST(0.83702534437180) },
- { COEF_CONST(-0.48086065053940), COEF_CONST(-0.98848503828049) },
- { COEF_CONST(0.97139126062393), COEF_CONST(0.80093622207642) },
- { COEF_CONST(0.51992827653885), COEF_CONST(0.80247628688812) },
- { COEF_CONST(-0.00848591234535), COEF_CONST(-0.76670128107071) },
- { COEF_CONST(-0.70294374227524), COEF_CONST(0.55359911918640) },
- { COEF_CONST(-0.95894426107407), COEF_CONST(-0.43265503644943) },
- { COEF_CONST(0.97079253196716), COEF_CONST(0.09325857460499) },
- { COEF_CONST(-0.92404294013977), COEF_CONST(0.85507702827454) },
- { COEF_CONST(-0.69506472349167), COEF_CONST(0.98633414506912) },
- { COEF_CONST(0.26559203863144), COEF_CONST(0.73314309120178) },
- { COEF_CONST(0.28038442134857), COEF_CONST(0.14537914097309) },
- { COEF_CONST(-0.74138122797012), COEF_CONST(0.99310338497162) },
- { COEF_CONST(-0.01752796024084), COEF_CONST(-0.82616633176804) },
- { COEF_CONST(-0.55126774311066), COEF_CONST(-0.98898541927338) },
- { COEF_CONST(0.97960901260376), COEF_CONST(-0.94021445512772) },
- { COEF_CONST(-0.99196308851242), COEF_CONST(0.67019015550613) },
- { COEF_CONST(-0.67684930562973), COEF_CONST(0.12631492316723) },
- { COEF_CONST(0.09140039235353), COEF_CONST(-0.20537731051445) },
- { COEF_CONST(-0.71658962965012), COEF_CONST(-0.97788202762604) },
- { COEF_CONST(0.81014639139175), COEF_CONST(0.53722649812698) },
- { COEF_CONST(0.40616992115974), COEF_CONST(-0.26469007134438) },
- { COEF_CONST(-0.67680186033249), COEF_CONST(0.94502049684525) },
- { COEF_CONST(0.86849772930145), COEF_CONST(-0.18333598971367) },
- { COEF_CONST(-0.99500381946564), COEF_CONST(-0.02634122036397) },
- { COEF_CONST(0.84329187870026), COEF_CONST(0.10406957566738) },
- { COEF_CONST(-0.09215968847275), COEF_CONST(0.69540011882782) },
- { COEF_CONST(0.99956172704697), COEF_CONST(-0.12358541786671) },
- { COEF_CONST(-0.79732781648636), COEF_CONST(-0.91582524776459) },
- { COEF_CONST(0.96349972486496), COEF_CONST(0.96640455722809) },
- { COEF_CONST(-0.79942780733109), COEF_CONST(0.64323902130127) },
- { COEF_CONST(-0.11566039919853), COEF_CONST(0.28587844967842) },
- { COEF_CONST(-0.39922955632210), COEF_CONST(0.94129604101181) },
- { COEF_CONST(0.99089199304581), COEF_CONST(-0.92062628269196) },
- { COEF_CONST(0.28631284832954), COEF_CONST(-0.91035044193268) },
- { COEF_CONST(-0.83302724361420), COEF_CONST(-0.67330408096313) },
- { COEF_CONST(0.95404446125031), COEF_CONST(0.49162766337395) },
- { COEF_CONST(-0.06449863314629), COEF_CONST(0.03250560909510) },
- { COEF_CONST(-0.99575054645538), COEF_CONST(0.42389783263206) },
- { COEF_CONST(-0.65501141548157), COEF_CONST(0.82546114921570) },
- { COEF_CONST(-0.81254440546036), COEF_CONST(-0.51627236604691) },
- { COEF_CONST(-0.99646371603012), COEF_CONST(0.84490531682968) },
- { COEF_CONST(0.00287840608507), COEF_CONST(0.64768260717392) },
- { COEF_CONST(0.70176988840103), COEF_CONST(-0.20453028380871) },
- { COEF_CONST(0.96361881494522), COEF_CONST(0.40706968307495) },
- { COEF_CONST(-0.68883758783340), COEF_CONST(0.91338956356049) },
- { COEF_CONST(-0.34875586628914), COEF_CONST(0.71472293138504) },
- { COEF_CONST(0.91980081796646), COEF_CONST(0.66507452726364) },
- { COEF_CONST(-0.99009048938751), COEF_CONST(0.85868018865585) },
- { COEF_CONST(0.68865793943405), COEF_CONST(0.55660319328308) },
- { COEF_CONST(-0.99484401941299), COEF_CONST(-0.20052559673786) },
- { COEF_CONST(0.94214510917664), COEF_CONST(-0.99696427583694) },
- { COEF_CONST(-0.67414629459381), COEF_CONST(0.49548220634460) },
- { COEF_CONST(-0.47339352965355), COEF_CONST(-0.85904330015182) },
- { COEF_CONST(0.14323651790619), COEF_CONST(-0.94145596027374) },
- { COEF_CONST(-0.29268294572830), COEF_CONST(0.05759225040674) },
- { COEF_CONST(0.43793860077858), COEF_CONST(-0.78904968500137) },
- { COEF_CONST(-0.36345127224922), COEF_CONST(0.64874434471130) },
- { COEF_CONST(-0.08750604838133), COEF_CONST(0.97686946392059) },
- { COEF_CONST(-0.96495270729065), COEF_CONST(-0.53960305452347) },
- { COEF_CONST(0.55526942014694), COEF_CONST(0.78891521692276) },
- { COEF_CONST(0.73538213968277), COEF_CONST(0.96452075242996) },
- { COEF_CONST(-0.30889773368835), COEF_CONST(-0.80664390325546) },
- { COEF_CONST(0.03574995696545), COEF_CONST(-0.97325617074966) },
- { COEF_CONST(0.98720687627792), COEF_CONST(0.48409134149551) },
- { COEF_CONST(-0.81689298152924), COEF_CONST(-0.90827703475952) },
- { COEF_CONST(0.67866861820221), COEF_CONST(0.81284505128860) },
- { COEF_CONST(-0.15808570384979), COEF_CONST(0.85279554128647) },
- { COEF_CONST(0.80723392963409), COEF_CONST(-0.24717418849468) },
- { COEF_CONST(0.47788757085800), COEF_CONST(-0.46333149075508) },
- { COEF_CONST(0.96367555856705), COEF_CONST(0.38486748933792) },
- { COEF_CONST(-0.99143874645233), COEF_CONST(-0.24945276975632) },
- { COEF_CONST(0.83081877231598), COEF_CONST(-0.94780850410461) },
- { COEF_CONST(-0.58753192424774), COEF_CONST(0.01290772389621) },
- { COEF_CONST(0.95538109540939), COEF_CONST(-0.85557049512863) },
- { COEF_CONST(-0.96490919589996), COEF_CONST(-0.64020973443985) },
- { COEF_CONST(-0.97327101230621), COEF_CONST(0.12378127872944) },
- { COEF_CONST(0.91400367021561), COEF_CONST(0.57972472906113) },
- { COEF_CONST(-0.99925839900970), COEF_CONST(0.71084845066071) },
- { COEF_CONST(-0.86875903606415), COEF_CONST(-0.20291699469090) },
- { COEF_CONST(-0.26240035891533), COEF_CONST(-0.68264555931091) },
- { COEF_CONST(-0.24664412438869), COEF_CONST(-0.87642270326614) },
- { COEF_CONST(0.02416275814176), COEF_CONST(0.27192914485931) },
- { COEF_CONST(0.82068622112274), COEF_CONST(-0.85087788105011) },
- { COEF_CONST(0.88547372817993), COEF_CONST(-0.89636802673340) },
- { COEF_CONST(-0.18173077702522), COEF_CONST(-0.26152145862579) },
- { COEF_CONST(0.09355476498604), COEF_CONST(0.54845124483109) },
- { COEF_CONST(-0.54668414592743), COEF_CONST(0.95980775356293) },
- { COEF_CONST(0.37050989270210), COEF_CONST(-0.59910142421722) },
- { COEF_CONST(-0.70373594760895), COEF_CONST(0.91227668523788) },
- { COEF_CONST(-0.34600785374641), COEF_CONST(-0.99441426992416) },
- { COEF_CONST(-0.68774479627609), COEF_CONST(-0.30238837003708) },
- { COEF_CONST(-0.26843291521072), COEF_CONST(0.83115667104721) },
- { COEF_CONST(0.49072334170341), COEF_CONST(-0.45359709858894) },
- { COEF_CONST(0.38975992798805), COEF_CONST(0.95515358448029) },
- { COEF_CONST(-0.97757124900818), COEF_CONST(0.05305894464254) },
- { COEF_CONST(-0.17325553297997), COEF_CONST(-0.92770671844482) },
- { COEF_CONST(0.99948036670685), COEF_CONST(0.58285546302795) },
- { COEF_CONST(-0.64946246147156), COEF_CONST(0.68645507097244) },
- { COEF_CONST(-0.12016920745373), COEF_CONST(-0.57147324085236) },
- { COEF_CONST(-0.58947455883026), COEF_CONST(-0.34847131371498) },
- { COEF_CONST(-0.41815140843391), COEF_CONST(0.16276422142982) },
- { COEF_CONST(0.99885648488998), COEF_CONST(0.11136095225811) },
- { COEF_CONST(-0.56649613380432), COEF_CONST(-0.90494865179062) },
- { COEF_CONST(0.94138020277023), COEF_CONST(0.35281917452812) },
- { COEF_CONST(-0.75725078582764), COEF_CONST(0.53650552034378) },
- { COEF_CONST(0.20541973412037), COEF_CONST(-0.94435143470764) },
- { COEF_CONST(0.99980372190475), COEF_CONST(0.79835915565491) },
- { COEF_CONST(0.29078277945518), COEF_CONST(0.35393777489662) },
- { COEF_CONST(-0.62858772277832), COEF_CONST(0.38765692710876) },
- { COEF_CONST(0.43440905213356), COEF_CONST(-0.98546332120895) },
- { COEF_CONST(-0.98298585414886), COEF_CONST(0.21021524071693) },
- { COEF_CONST(0.19513028860092), COEF_CONST(-0.94239830970764) },
- { COEF_CONST(-0.95476663112640), COEF_CONST(0.98364555835724) },
- { COEF_CONST(0.93379634618759), COEF_CONST(-0.70881992578506) },
- { COEF_CONST(-0.85235410928726), COEF_CONST(-0.08342348039150) },
- { COEF_CONST(-0.86425095796585), COEF_CONST(-0.45795026421547) },
- { COEF_CONST(0.38879778981209), COEF_CONST(0.97274428606033) },
- { COEF_CONST(0.92045122385025), COEF_CONST(-0.62433654069901) },
- { COEF_CONST(0.89162534475327), COEF_CONST(0.54950958490372) },
- { COEF_CONST(-0.36834338307381), COEF_CONST(0.96458297967911) },
- { COEF_CONST(0.93891763687134), COEF_CONST(-0.89968353509903) },
- { COEF_CONST(0.99267655611038), COEF_CONST(-0.03757034242153) },
- { COEF_CONST(-0.94063472747803), COEF_CONST(0.41332337260246) },
- { COEF_CONST(0.99740225076675), COEF_CONST(-0.16830494999886) },
- { COEF_CONST(-0.35899412631989), COEF_CONST(-0.46633225679398) },
- { COEF_CONST(0.05237237364054), COEF_CONST(-0.25640362501144) },
- { COEF_CONST(0.36703583598137), COEF_CONST(-0.38653266429901) },
- { COEF_CONST(0.91653180122375), COEF_CONST(-0.30587628483772) },
- { COEF_CONST(0.69000804424286), COEF_CONST(0.90952169895172) },
- { COEF_CONST(-0.38658750057220), COEF_CONST(0.99501574039459) },
- { COEF_CONST(-0.29250815510750), COEF_CONST(0.37444993853569) },
- { COEF_CONST(-0.60182201862335), COEF_CONST(0.86779648065567) },
- { COEF_CONST(-0.97418588399887), COEF_CONST(0.96468526124954) },
- { COEF_CONST(0.88461571931839), COEF_CONST(0.57508403062820) },
- { COEF_CONST(0.05198933184147), COEF_CONST(0.21269661188126) },
- { COEF_CONST(-0.53499621152878), COEF_CONST(0.97241556644440) },
- { COEF_CONST(-0.49429559707642), COEF_CONST(0.98183864355087) },
- { COEF_CONST(-0.98935145139694), COEF_CONST(-0.40249159932137) },
- { COEF_CONST(-0.98081380128860), COEF_CONST(-0.72856897115707) },
- { COEF_CONST(-0.27338150143623), COEF_CONST(0.99950921535492) },
- { COEF_CONST(0.06310802698135), COEF_CONST(-0.54539585113525) },
- { COEF_CONST(-0.20461677014828), COEF_CONST(-0.14209978282452) },
- { COEF_CONST(0.66223841905594), COEF_CONST(0.72528582811356) },
- { COEF_CONST(-0.84764343500137), COEF_CONST(0.02372316829860) },
- { COEF_CONST(-0.89039862155914), COEF_CONST(0.88866579532623) },
- { COEF_CONST(0.95903307199478), COEF_CONST(0.76744925975800) },
- { COEF_CONST(0.73504126071930), COEF_CONST(-0.03747203201056) },
- { COEF_CONST(-0.31744435429573), COEF_CONST(-0.36834111809731) },
- { COEF_CONST(-0.34110826253891), COEF_CONST(0.40211221575737) },
- { COEF_CONST(0.47803884744644), COEF_CONST(-0.39423218369484) },
- { COEF_CONST(0.98299193382263), COEF_CONST(0.01989791356027) },
- { COEF_CONST(-0.30963072180748), COEF_CONST(-0.18076720833778) },
- { COEF_CONST(0.99992591142654), COEF_CONST(-0.26281872391701) },
- { COEF_CONST(-0.93149733543396), COEF_CONST(-0.98313164710999) },
- { COEF_CONST(0.99923473596573), COEF_CONST(-0.80142992734909) },
- { COEF_CONST(-0.26024168729782), COEF_CONST(-0.75999760627747) },
- { COEF_CONST(-0.35712513327599), COEF_CONST(0.19298963248730) },
- { COEF_CONST(-0.99899083375931), COEF_CONST(0.74645155668259) },
- { COEF_CONST(0.86557173728943), COEF_CONST(0.55593866109848) },
- { COEF_CONST(0.33408042788506), COEF_CONST(0.86185956001282) },
- { COEF_CONST(0.99010735750198), COEF_CONST(0.04602397605777) },
- { COEF_CONST(-0.66694271564484), COEF_CONST(-0.91643613576889) },
- { COEF_CONST(0.64016789197922), COEF_CONST(0.15649530291557) },
- { COEF_CONST(0.99570536613464), COEF_CONST(0.45844584703445) },
- { COEF_CONST(-0.63431465625763), COEF_CONST(0.21079117059708) },
- { COEF_CONST(-0.07706847041845), COEF_CONST(-0.89581435918808) },
- { COEF_CONST(0.98590087890625), COEF_CONST(0.88241720199585) },
- { COEF_CONST(0.80099332332611), COEF_CONST(-0.36851897835732) },
- { COEF_CONST(0.78368133306503), COEF_CONST(0.45506998896599) },
- { COEF_CONST(0.08707806468010), COEF_CONST(0.80938994884491) },
- { COEF_CONST(-0.86811882257462), COEF_CONST(0.39347308874130) },
- { COEF_CONST(-0.39466530084610), COEF_CONST(-0.66809433698654) },
- { COEF_CONST(0.97875326871872), COEF_CONST(-0.72467839717865) },
- { COEF_CONST(-0.95038563013077), COEF_CONST(0.89563220739365) },
- { COEF_CONST(0.17005239427090), COEF_CONST(0.54683053493500) },
- { COEF_CONST(-0.76910793781281), COEF_CONST(-0.96226614713669) },
- { COEF_CONST(0.99743282794952), COEF_CONST(0.42697158455849) },
- { COEF_CONST(0.95437383651733), COEF_CONST(0.97002321481705) },
- { COEF_CONST(0.99578905105591), COEF_CONST(-0.54106825590134) },
- { COEF_CONST(0.28058260679245), COEF_CONST(-0.85361421108246) },
- { COEF_CONST(0.85256522893906), COEF_CONST(-0.64567607641220) },
- { COEF_CONST(-0.50608539581299), COEF_CONST(-0.65846014022827) },
- { COEF_CONST(-0.97210735082626), COEF_CONST(-0.23095212876797) },
- { COEF_CONST(0.95424050092697), COEF_CONST(-0.99240148067474) },
- { COEF_CONST(-0.96926569938660), COEF_CONST(0.73775655031204) },
- { COEF_CONST(0.30872163176537), COEF_CONST(0.41514959931374) },
- { COEF_CONST(-0.24523839354515), COEF_CONST(0.63206630945206) },
- { COEF_CONST(-0.33813264966011), COEF_CONST(-0.38661777973175) },
- { COEF_CONST(-0.05826828256249), COEF_CONST(-0.06940773874521) },
- { COEF_CONST(-0.22898460924625), COEF_CONST(0.97054851055145) },
- { COEF_CONST(-0.18509915471077), COEF_CONST(0.47565764188766) },
- { COEF_CONST(-0.10488238185644), COEF_CONST(-0.87769949436188) },
- { COEF_CONST(-0.71886587142944), COEF_CONST(0.78030979633331) },
- { COEF_CONST(0.99793875217438), COEF_CONST(0.90041309595108) },
- { COEF_CONST(0.57563304901123), COEF_CONST(-0.91034334897995) },
- { COEF_CONST(0.28909647464752), COEF_CONST(0.96307784318924) },
- { COEF_CONST(0.42188999056816), COEF_CONST(0.48148649930954) },
- { COEF_CONST(0.93335050344467), COEF_CONST(-0.43537023663521) },
- { COEF_CONST(-0.97087377309799), COEF_CONST(0.86636447906494) },
- { COEF_CONST(0.36722871661186), COEF_CONST(0.65291655063629) },
- { COEF_CONST(-0.81093025207520), COEF_CONST(0.08778370171785) },
- { COEF_CONST(-0.26240602135658), COEF_CONST(-0.92774093151093) },
- { COEF_CONST(0.83996498584747), COEF_CONST(0.55839848518372) },
- { COEF_CONST(-0.99909615516663), COEF_CONST(-0.96024608612061) },
- { COEF_CONST(0.74649465084076), COEF_CONST(0.12144893407822) },
- { COEF_CONST(-0.74774593114853), COEF_CONST(-0.26898062229156) },
- { COEF_CONST(0.95781666040421), COEF_CONST(-0.79047924280167) },
- { COEF_CONST(0.95472306013107), COEF_CONST(-0.08588775992393) },
- { COEF_CONST(0.48708331584930), COEF_CONST(0.99999040365219) },
- { COEF_CONST(0.46332037448883), COEF_CONST(0.10964126139879) },
- { COEF_CONST(-0.76497006416321), COEF_CONST(0.89210927486420) },
- { COEF_CONST(0.57397389411926), COEF_CONST(0.35289704799652) },
- { COEF_CONST(0.75374317169189), COEF_CONST(0.96705216169357) },
- { COEF_CONST(-0.59174400568008), COEF_CONST(-0.89405369758606) },
- { COEF_CONST(0.75087904930115), COEF_CONST(-0.29612672328949) },
- { COEF_CONST(-0.98607856035233), COEF_CONST(0.25034910440445) },
- { COEF_CONST(-0.40761056542397), COEF_CONST(-0.90045571327209) },
- { COEF_CONST(0.66929268836975), COEF_CONST(0.98629492521286) },
- { COEF_CONST(-0.97463697195053), COEF_CONST(-0.00190223299433) },
- { COEF_CONST(0.90145510435104), COEF_CONST(0.99781388044357) },
- { COEF_CONST(-0.87259286642075), COEF_CONST(0.99233585596085) },
- { COEF_CONST(-0.91529458761215), COEF_CONST(-0.15698707103729) },
- { COEF_CONST(-0.03305738791823), COEF_CONST(-0.37205263972282) },
- { COEF_CONST(0.07223051041365), COEF_CONST(-0.88805001974106) },
- { COEF_CONST(0.99498009681702), COEF_CONST(0.97094357013702) },
- { COEF_CONST(-0.74904936552048), COEF_CONST(0.99985486268997) },
- { COEF_CONST(0.04585228487849), COEF_CONST(0.99812334775925) },
- { COEF_CONST(-0.89054954051971), COEF_CONST(-0.31791913509369) },
- { COEF_CONST(-0.83782142400742), COEF_CONST(0.97637635469437) },
- { COEF_CONST(0.33454805612564), COEF_CONST(-0.86231517791748) },
- { COEF_CONST(-0.99707579612732), COEF_CONST(0.93237990140915) },
- { COEF_CONST(-0.22827528417110), COEF_CONST(0.18874759972095) },
- { COEF_CONST(0.67248046398163), COEF_CONST(-0.03646211326122) },
- { COEF_CONST(-0.05146538093686), COEF_CONST(-0.92599701881409) },
- { COEF_CONST(0.99947297573090), COEF_CONST(0.93625229597092) },
- { COEF_CONST(0.66951125860214), COEF_CONST(0.98905825614929) },
- { COEF_CONST(-0.99602955579758), COEF_CONST(-0.44654715061188) },
- { COEF_CONST(0.82104903459549), COEF_CONST(0.99540740251541) },
- { COEF_CONST(0.99186509847641), COEF_CONST(0.72022998332977) },
- { COEF_CONST(-0.65284591913223), COEF_CONST(0.52186721563339) },
- { COEF_CONST(0.93885445594788), COEF_CONST(-0.74895310401917) },
- { COEF_CONST(0.96735250949860), COEF_CONST(0.90891814231873) },
- { COEF_CONST(-0.22225968539715), COEF_CONST(0.57124030590057) },
- { COEF_CONST(-0.44132784008980), COEF_CONST(-0.92688840627670) },
- { COEF_CONST(-0.85694974660873), COEF_CONST(0.88844531774521) },
- { COEF_CONST(0.91783040761948), COEF_CONST(-0.46356892585754) },
- { COEF_CONST(0.72556972503662), COEF_CONST(-0.99899554252625) },
- { COEF_CONST(-0.99711579084396), COEF_CONST(0.58211559057236) },
- { COEF_CONST(0.77638977766037), COEF_CONST(0.94321835041046) },
- { COEF_CONST(0.07717324048281), COEF_CONST(0.58638399839401) },
- { COEF_CONST(-0.56049829721451), COEF_CONST(0.82522302865982) },
- { COEF_CONST(0.98398894071579), COEF_CONST(0.39467439055443) },
- { COEF_CONST(0.47546947002411), COEF_CONST(0.68613046407700) },
- { COEF_CONST(0.65675091743469), COEF_CONST(0.18331636488438) },
- { COEF_CONST(0.03273375332355), COEF_CONST(-0.74933111667633) },
- { COEF_CONST(-0.38684144616127), COEF_CONST(0.51337349414825) },
- { COEF_CONST(-0.97346270084381), COEF_CONST(-0.96549361944199) },
- { COEF_CONST(-0.53282153606415), COEF_CONST(-0.91423267126083) },
- { COEF_CONST(0.99817311763763), COEF_CONST(0.61133575439453) },
- { COEF_CONST(-0.50254499912262), COEF_CONST(-0.88829338550568) },
- { COEF_CONST(0.01995873264968), COEF_CONST(0.85223513841629) },
- { COEF_CONST(0.99930381774902), COEF_CONST(0.94578897953033) },
- { COEF_CONST(0.82907766103745), COEF_CONST(-0.06323442608118) },
- { COEF_CONST(-0.58660709857941), COEF_CONST(0.96840775012970) },
- { COEF_CONST(-0.17573736608028), COEF_CONST(-0.48166921734810) },
- { COEF_CONST(0.83434289693832), COEF_CONST(-0.13023450970650) },
- { COEF_CONST(0.05946491286159), COEF_CONST(0.20511047542095) },
- { COEF_CONST(0.81505483388901), COEF_CONST(-0.94685947895050) },
- { COEF_CONST(-0.44976380467415), COEF_CONST(0.40894573926926) },
- { COEF_CONST(-0.89746475219727), COEF_CONST(0.99846577644348) },
- { COEF_CONST(0.39677256345749), COEF_CONST(-0.74854665994644) },
- { COEF_CONST(-0.07588948309422), COEF_CONST(0.74096214771271) },
- { COEF_CONST(0.76343196630478), COEF_CONST(0.41746628284454) },
- { COEF_CONST(-0.74490106105804), COEF_CONST(0.94725912809372) },
- { COEF_CONST(0.64880120754242), COEF_CONST(0.41336661577225) },
- { COEF_CONST(0.62319535017014), COEF_CONST(-0.93098312616348) },
- { COEF_CONST(0.42215818166733), COEF_CONST(-0.07712787389755) },
- { COEF_CONST(0.02704554051161), COEF_CONST(-0.05417517945170) },
- { COEF_CONST(0.80001771450043), COEF_CONST(0.91542196273804) },
- { COEF_CONST(-0.79351830482483), COEF_CONST(-0.36208897829056) },
- { COEF_CONST(0.63872361183167), COEF_CONST(0.08128252625465) },
- { COEF_CONST(0.52890521287918), COEF_CONST(0.60048872232437) },
- { COEF_CONST(0.74238550662994), COEF_CONST(0.04491915181279) },
- { COEF_CONST(0.99096131324768), COEF_CONST(-0.19451183080673) },
- { COEF_CONST(-0.80412328243256), COEF_CONST(-0.88513815402985) },
- { COEF_CONST(-0.64612615108490), COEF_CONST(0.72198677062988) },
- { COEF_CONST(0.11657770723104), COEF_CONST(-0.83662831783295) },
- { COEF_CONST(-0.95053184032440), COEF_CONST(-0.96939903497696) },
- { COEF_CONST(-0.62228870391846), COEF_CONST(0.82767260074615) },
- { COEF_CONST(0.03004475869238), COEF_CONST(-0.99738895893097) },
- { COEF_CONST(-0.97987216711044), COEF_CONST(0.36526128649712) },
- { COEF_CONST(-0.99986982345581), COEF_CONST(-0.36021611094475) },
- { COEF_CONST(0.89110648632050), COEF_CONST(-0.97894251346588) },
- { COEF_CONST(0.10407960414886), COEF_CONST(0.77357792854309) },
- { COEF_CONST(0.95964735746384), COEF_CONST(-0.35435819625854) },
- { COEF_CONST(0.50843232870102), COEF_CONST(0.96107691526413) },
- { COEF_CONST(0.17006334662437), COEF_CONST(-0.76854026317596) },
- { COEF_CONST(0.25872674584389), COEF_CONST(0.99893301725388) },
- { COEF_CONST(-0.01115998718888), COEF_CONST(0.98496019840240) },
- { COEF_CONST(-0.79598701000214), COEF_CONST(0.97138410806656) },
- { COEF_CONST(-0.99264711141586), COEF_CONST(-0.99542820453644) },
- { COEF_CONST(-0.99829661846161), COEF_CONST(0.01877138763666) },
- { COEF_CONST(-0.70801013708115), COEF_CONST(0.33680686354637) },
- { COEF_CONST(-0.70467054843903), COEF_CONST(0.93272775411606) },
- { COEF_CONST(0.99846023321152), COEF_CONST(-0.98725748062134) },
- { COEF_CONST(-0.63364970684052), COEF_CONST(-0.16473594307899) },
- { COEF_CONST(-0.16258217394352), COEF_CONST(-0.95939123630524) },
- { COEF_CONST(-0.43645593523979), COEF_CONST(-0.94805032014847) },
- { COEF_CONST(-0.99848473072052), COEF_CONST(0.96245169639587) },
- { COEF_CONST(-0.16796459257603), COEF_CONST(-0.98987513780594) },
- { COEF_CONST(-0.87979227304459), COEF_CONST(-0.71725726127625) },
- { COEF_CONST(0.44183099269867), COEF_CONST(-0.93568974733353) },
- { COEF_CONST(0.93310177326202), COEF_CONST(-0.99913311004639) },
- { COEF_CONST(-0.93941932916641), COEF_CONST(-0.56409376859665) },
- { COEF_CONST(-0.88590002059937), COEF_CONST(0.47624599933624) },
- { COEF_CONST(0.99971461296082), COEF_CONST(-0.83889955282211) },
- { COEF_CONST(-0.75376385450363), COEF_CONST(0.00814643409103) },
- { COEF_CONST(0.93887686729431), COEF_CONST(-0.11284527927637) },
- { COEF_CONST(0.85126435756683), COEF_CONST(0.52349251508713) },
- { COEF_CONST(0.39701420068741), COEF_CONST(0.81779634952545) },
- { COEF_CONST(-0.37024465203285), COEF_CONST(-0.87071657180786) },
- { COEF_CONST(-0.36024826765060), COEF_CONST(0.34655734896660) },
- { COEF_CONST(-0.93388813734055), COEF_CONST(-0.84476542472839) },
- { COEF_CONST(-0.65298801660538), COEF_CONST(-0.18439576029778) },
- { COEF_CONST(0.11960318684578), COEF_CONST(0.99899345636368) },
- { COEF_CONST(0.94292563199997), COEF_CONST(0.83163905143738) },
- { COEF_CONST(0.75081145763397), COEF_CONST(-0.35533222556114) },
- { COEF_CONST(0.56721979379654), COEF_CONST(-0.24076835811138) },
- { COEF_CONST(0.46857765316963), COEF_CONST(-0.30140233039856) },
- { COEF_CONST(0.97312313318253), COEF_CONST(-0.99548190832138) },
- { COEF_CONST(-0.38299977779388), COEF_CONST(0.98516911268234) },
- { COEF_CONST(0.41025799512863), COEF_CONST(0.02116736955941) },
- { COEF_CONST(0.09638062119484), COEF_CONST(0.04411984235048) },
- { COEF_CONST(-0.85283249616623), COEF_CONST(0.91475564241409) },
- { COEF_CONST(0.88866806030273), COEF_CONST(-0.99735265970230) },
- { COEF_CONST(-0.48202428221703), COEF_CONST(-0.96805608272552) },
- { COEF_CONST(0.27572581171989), COEF_CONST(0.58634752035141) },
- { COEF_CONST(-0.65889132022858), COEF_CONST(0.58835631608963) },
- { COEF_CONST(0.98838084936142), COEF_CONST(0.99994349479675) },
- { COEF_CONST(-0.20651349425316), COEF_CONST(0.54593044519424) },
- { COEF_CONST(-0.62126415967941), COEF_CONST(-0.59893679618835) },
- { COEF_CONST(0.20320105552673), COEF_CONST(-0.86879181861877) },
- { COEF_CONST(-0.97790551185608), COEF_CONST(0.96290808916092) },
- { COEF_CONST(0.11112534999847), COEF_CONST(0.21484763920307) },
- { COEF_CONST(-0.41368338465691), COEF_CONST(0.28216838836670) },
- { COEF_CONST(0.24133038520813), COEF_CONST(0.51294362545013) },
- { COEF_CONST(-0.66393411159515), COEF_CONST(-0.08249679952860) },
- { COEF_CONST(-0.53697830438614), COEF_CONST(-0.97649902105331) },
- { COEF_CONST(-0.97224736213684), COEF_CONST(0.22081333398819) },
- { COEF_CONST(0.87392479181290), COEF_CONST(-0.12796173989773) },
- { COEF_CONST(0.19050361216068), COEF_CONST(0.01602615416050) },
- { COEF_CONST(-0.46353441476822), COEF_CONST(-0.95249038934708) },
- { COEF_CONST(-0.07064096629620), COEF_CONST(-0.94479805231094) },
- { COEF_CONST(-0.92444086074829), COEF_CONST(-0.10457590222359) },
- { COEF_CONST(-0.83822596073151), COEF_CONST(-0.01695043221116) },
- { COEF_CONST(0.75214684009552), COEF_CONST(-0.99955683946609) },
- { COEF_CONST(-0.42102998495102), COEF_CONST(0.99720942974091) },
- { COEF_CONST(-0.72094786167145), COEF_CONST(-0.35008960962296) },
- { COEF_CONST(0.78843313455582), COEF_CONST(0.52851396799088) },
- { COEF_CONST(0.97394025325775), COEF_CONST(-0.26695942878723) },
- { COEF_CONST(0.99206465482712), COEF_CONST(-0.57010120153427) },
- { COEF_CONST(0.76789611577988), COEF_CONST(-0.76519358158112) },
- { COEF_CONST(-0.82002419233322), COEF_CONST(-0.73530179262161) },
- { COEF_CONST(0.81924992799759), COEF_CONST(0.99698424339294) },
- { COEF_CONST(-0.26719850301743), COEF_CONST(0.68903368711472) },
- { COEF_CONST(-0.43311259150505), COEF_CONST(0.85321813821793) },
- { COEF_CONST(0.99194979667664), COEF_CONST(0.91876250505447) },
- { COEF_CONST(-0.80691999197006), COEF_CONST(-0.32627540826797) },
- { COEF_CONST(0.43080005049706), COEF_CONST(-0.21919095516205) },
- { COEF_CONST(0.67709493637085), COEF_CONST(-0.95478075742722) },
- { COEF_CONST(0.56151771545410), COEF_CONST(-0.70693808794022) },
- { COEF_CONST(0.10831862688065), COEF_CONST(-0.08628837019205) },
- { COEF_CONST(0.91229414939880), COEF_CONST(-0.65987348556519) },
- { COEF_CONST(-0.48972892761230), COEF_CONST(0.56289243698120) },
- { COEF_CONST(-0.89033657312393), COEF_CONST(-0.71656566858292) },
- { COEF_CONST(0.65269446372986), COEF_CONST(0.65916007757187) },
- { COEF_CONST(0.67439478635788), COEF_CONST(-0.81684380769730) },
- { COEF_CONST(-0.47770830988884), COEF_CONST(-0.16789555549622) },
- { COEF_CONST(-0.99715977907181), COEF_CONST(-0.93565785884857) },
- { COEF_CONST(-0.90889590978622), COEF_CONST(0.62034398317337) },
- { COEF_CONST(-0.06618622690439), COEF_CONST(-0.23812216520309) },
- { COEF_CONST(0.99430269002914), COEF_CONST(0.18812555074692) },
- { COEF_CONST(0.97686403989792), COEF_CONST(-0.28664535284042) },
- { COEF_CONST(0.94813650846481), COEF_CONST(-0.97506642341614) },
- { COEF_CONST(-0.95434498786926), COEF_CONST(-0.79607981443405) },
- { COEF_CONST(-0.49104782938957), COEF_CONST(0.32895213365555) },
- { COEF_CONST(0.99881172180176), COEF_CONST(0.88993984460831) },
- { COEF_CONST(0.50449168682098), COEF_CONST(-0.85995072126389) },
- { COEF_CONST(0.47162890434265), COEF_CONST(-0.18680204451084) },
- { COEF_CONST(-0.62081581354141), COEF_CONST(0.75000673532486) },
- { COEF_CONST(-0.43867015838623), COEF_CONST(0.99998068809509) },
- { COEF_CONST(0.98630565404892), COEF_CONST(-0.53578901290894) },
- { COEF_CONST(-0.61510360240936), COEF_CONST(-0.89515018463135) },
- { COEF_CONST(-0.03841517493129), COEF_CONST(-0.69888818264008) },
- { COEF_CONST(-0.30102157592773), COEF_CONST(-0.07667808979750) },
- { COEF_CONST(0.41881284117699), COEF_CONST(0.02188098989427) },
- { COEF_CONST(-0.86135452985764), COEF_CONST(0.98947483301163) },
- { COEF_CONST(0.67226862907410), COEF_CONST(-0.13494388759136) },
- { COEF_CONST(-0.70737397670746), COEF_CONST(-0.76547348499298) },
- { COEF_CONST(0.94044947624207), COEF_CONST(0.09026201069355) },
- { COEF_CONST(-0.82386350631714), COEF_CONST(0.08924768865108) },
- { COEF_CONST(-0.32070666551590), COEF_CONST(0.50143420696259) },
- { COEF_CONST(0.57593160867691), COEF_CONST(-0.98966425657272) },
- { COEF_CONST(-0.36326017975807), COEF_CONST(0.07440242916346) },
- { COEF_CONST(0.99979043006897), COEF_CONST(-0.14130286872387) },
- { COEF_CONST(-0.92366021871567), COEF_CONST(-0.97979295253754) },
- { COEF_CONST(-0.44607177376747), COEF_CONST(-0.54233253002167) },
- { COEF_CONST(0.44226801395416), COEF_CONST(0.71326756477356) },
- { COEF_CONST(0.03671907261014), COEF_CONST(0.63606387376785) },
- { COEF_CONST(0.52175426483154), COEF_CONST(-0.85396826267242) },
- { COEF_CONST(-0.94701141119003), COEF_CONST(-0.01826348155737) },
- { COEF_CONST(-0.98759609460831), COEF_CONST(0.82288712263107) },
- { COEF_CONST(0.87434792518616), COEF_CONST(0.89399492740631) },
- { COEF_CONST(-0.93412041664124), COEF_CONST(0.41374051570892) },
- { COEF_CONST(0.96063941717148), COEF_CONST(0.93116706609726) },
- { COEF_CONST(0.97534251213074), COEF_CONST(0.86150932312012) },
- { COEF_CONST(0.99642467498779), COEF_CONST(0.70190042257309) },
- { COEF_CONST(-0.94705086946487), COEF_CONST(-0.29580041766167) },
- { COEF_CONST(0.91599804162979), COEF_CONST(-0.98147833347321) }
+ALIGN static const complex_t V[] = {
+ { FRAC_CONST(-0.99948155879974), FRAC_CONST(-0.59483414888382) },
+ { FRAC_CONST(0.97113454341888), FRAC_CONST(-0.67528516054153) },
+ { FRAC_CONST(0.14130051434040), FRAC_CONST(-0.95090985298157) },
+ { FRAC_CONST(-0.47005495429039), FRAC_CONST(-0.37340548634529) },
+ { FRAC_CONST(0.80705064535141), FRAC_CONST(0.29653668403625) },
+ { FRAC_CONST(-0.38981479406357), FRAC_CONST(0.89572608470917) },
+ { FRAC_CONST(-0.01053049881011), FRAC_CONST(-0.66959059238434) },
+ { FRAC_CONST(-0.91266369819641), FRAC_CONST(-0.11522938311100) },
+ { FRAC_CONST(0.54840421676636), FRAC_CONST(0.75221365690231) },
+ { FRAC_CONST(0.40009254217148), FRAC_CONST(-0.98929399251938) },
+ { FRAC_CONST(-0.99867975711823), FRAC_CONST(-0.88147068023682) },
+ { FRAC_CONST(-0.95531076192856), FRAC_CONST(0.90908759832382) },
+ { FRAC_CONST(-0.45725932717323), FRAC_CONST(-0.56716322898865) },
+ { FRAC_CONST(-0.72929674386978), FRAC_CONST(-0.98008275032043) },
+ { FRAC_CONST(0.75622802972794), FRAC_CONST(0.20950329303741) },
+ { FRAC_CONST(0.07069442421198), FRAC_CONST(-0.78247898817062) },
+ { FRAC_CONST(0.74496251344681), FRAC_CONST(-0.91169005632401) },
+ { FRAC_CONST(-0.96440184116364), FRAC_CONST(-0.94739919900894) },
+ { FRAC_CONST(0.30424630641937), FRAC_CONST(-0.49438267946243) },
+ { FRAC_CONST(0.66565030813217), FRAC_CONST(0.64652937650681) },
+ { FRAC_CONST(0.91697007417679), FRAC_CONST(0.17514097690582) },
+ { FRAC_CONST(-0.70774918794632), FRAC_CONST(0.52548652887344) },
+ { FRAC_CONST(-0.70051413774490), FRAC_CONST(-0.45340028405190) },
+ { FRAC_CONST(-0.99496513605118), FRAC_CONST(-0.90071910619736) },
+ { FRAC_CONST(0.98164492845535), FRAC_CONST(-0.77463155984879) },
+ { FRAC_CONST(-0.54671579599380), FRAC_CONST(-0.02570928446949) },
+ { FRAC_CONST(-0.01689629070461), FRAC_CONST(0.00287506449968) },
+ { FRAC_CONST(-0.86110347509384), FRAC_CONST(0.42548584938049) },
+ { FRAC_CONST(-0.98892980813980), FRAC_CONST(-0.87881129980087) },
+ { FRAC_CONST(0.51756626367569), FRAC_CONST(0.66926783323288) },
+ { FRAC_CONST(-0.99635028839111), FRAC_CONST(-0.58107727766037) },
+ { FRAC_CONST(-0.99969369173050), FRAC_CONST(0.98369991779327) },
+ { FRAC_CONST(0.55266261100769), FRAC_CONST(0.59449058771133) },
+ { FRAC_CONST(0.34581178426743), FRAC_CONST(0.94879418611526) },
+ { FRAC_CONST(0.62664210796356), FRAC_CONST(-0.74402970075607) },
+ { FRAC_CONST(-0.77149701118469), FRAC_CONST(-0.33883658051491) },
+ { FRAC_CONST(-0.91592246294022), FRAC_CONST(0.03687901422381) },
+ { FRAC_CONST(-0.76285493373871), FRAC_CONST(-0.91371870040894) },
+ { FRAC_CONST(0.79788339138031), FRAC_CONST(-0.93180972337723) },
+ { FRAC_CONST(0.54473078250885), FRAC_CONST(-0.11919206380844) },
+ { FRAC_CONST(-0.85639280080795), FRAC_CONST(0.42429855465889) },
+ { FRAC_CONST(-0.92882400751114), FRAC_CONST(0.27871808409691) },
+ { FRAC_CONST(-0.11708371341228), FRAC_CONST(-0.99800843000412) },
+ { FRAC_CONST(0.21356749534607), FRAC_CONST(-0.90716296434402) },
+ { FRAC_CONST(-0.76191693544388), FRAC_CONST(0.99768120050430) },
+ { FRAC_CONST(0.98111045360565), FRAC_CONST(-0.95854461193085) },
+ { FRAC_CONST(-0.85913270711899), FRAC_CONST(0.95766568183899) },
+ { FRAC_CONST(-0.93307244777679), FRAC_CONST(0.49431759119034) },
+ { FRAC_CONST(0.30485755205154), FRAC_CONST(-0.70540034770966) },
+ { FRAC_CONST(0.85289651155472), FRAC_CONST(0.46766132116318) },
+ { FRAC_CONST(0.91328084468842), FRAC_CONST(-0.99839597940445) },
+ { FRAC_CONST(-0.05890199914575), FRAC_CONST(0.70741826295853) },
+ { FRAC_CONST(0.28398686647415), FRAC_CONST(0.34633556008339) },
+ { FRAC_CONST(0.95258164405823), FRAC_CONST(-0.54893416166306) },
+ { FRAC_CONST(-0.78566324710846), FRAC_CONST(-0.75568538904190) },
+ { FRAC_CONST(-0.95789498090744), FRAC_CONST(-0.20423194766045) },
+ { FRAC_CONST(0.82411158084869), FRAC_CONST(0.96654617786407) },
+ { FRAC_CONST(-0.65185445547104), FRAC_CONST(-0.88734990358353) },
+ { FRAC_CONST(-0.93643605709076), FRAC_CONST(0.99870789051056) },
+ { FRAC_CONST(0.91427159309387), FRAC_CONST(-0.98290503025055) },
+ { FRAC_CONST(-0.70395684242249), FRAC_CONST(0.58796799182892) },
+ { FRAC_CONST(0.00563771976158), FRAC_CONST(0.61768198013306) },
+ { FRAC_CONST(0.89065051078796), FRAC_CONST(0.52783352136612) },
+ { FRAC_CONST(-0.68683707714081), FRAC_CONST(0.80806946754456) },
+ { FRAC_CONST(0.72165340185165), FRAC_CONST(-0.69259858131409) },
+ { FRAC_CONST(-0.62928247451782), FRAC_CONST(0.13627037405968) },
+ { FRAC_CONST(0.29938435554504), FRAC_CONST(-0.46051329374313) },
+ { FRAC_CONST(-0.91781955957413), FRAC_CONST(-0.74012714624405) },
+ { FRAC_CONST(0.99298715591431), FRAC_CONST(0.40816611051559) },
+ { FRAC_CONST(0.82368296384811), FRAC_CONST(-0.74036049842834) },
+ { FRAC_CONST(-0.98512834310532), FRAC_CONST(-0.99972331523895) },
+ { FRAC_CONST(-0.95915371179581), FRAC_CONST(-0.99237799644470) },
+ { FRAC_CONST(-0.21411126852036), FRAC_CONST(-0.93424820899963) },
+ { FRAC_CONST(-0.68821477890015), FRAC_CONST(-0.26892307400703) },
+ { FRAC_CONST(0.91851997375488), FRAC_CONST(0.09358228743076) },
+ { FRAC_CONST(-0.96062767505646), FRAC_CONST(0.36099094152451) },
+ { FRAC_CONST(0.51646184921265), FRAC_CONST(-0.71373331546783) },
+ { FRAC_CONST(0.61130720376968), FRAC_CONST(0.46950140595436) },
+ { FRAC_CONST(0.47336128354073), FRAC_CONST(-0.27333179116249) },
+ { FRAC_CONST(0.90998309850693), FRAC_CONST(0.96715664863586) },
+ { FRAC_CONST(0.44844800233841), FRAC_CONST(0.99211573600769) },
+ { FRAC_CONST(0.66614890098572), FRAC_CONST(0.96590173244476) },
+ { FRAC_CONST(0.74922239780426), FRAC_CONST(-0.89879858493805) },
+ { FRAC_CONST(-0.99571585655212), FRAC_CONST(0.52785521745682) },
+ { FRAC_CONST(0.97401082515717), FRAC_CONST(-0.16855870187283) },
+ { FRAC_CONST(0.72683745622635), FRAC_CONST(-0.48060774803162) },
+ { FRAC_CONST(0.95432192087173), FRAC_CONST(0.68849605321884) },
+ { FRAC_CONST(-0.72962206602097), FRAC_CONST(-0.76608443260193) },
+ { FRAC_CONST(-0.85359477996826), FRAC_CONST(0.88738125562668) },
+ { FRAC_CONST(-0.81412428617477), FRAC_CONST(-0.97480767965317) },
+ { FRAC_CONST(-0.87930774688721), FRAC_CONST(0.74748307466507) },
+ { FRAC_CONST(-0.71573328971863), FRAC_CONST(-0.98570609092712) },
+ { FRAC_CONST(0.83524298667908), FRAC_CONST(0.83702534437180) },
+ { FRAC_CONST(-0.48086065053940), FRAC_CONST(-0.98848503828049) },
+ { FRAC_CONST(0.97139126062393), FRAC_CONST(0.80093622207642) },
+ { FRAC_CONST(0.51992827653885), FRAC_CONST(0.80247628688812) },
+ { FRAC_CONST(-0.00848591234535), FRAC_CONST(-0.76670128107071) },
+ { FRAC_CONST(-0.70294374227524), FRAC_CONST(0.55359911918640) },
+ { FRAC_CONST(-0.95894426107407), FRAC_CONST(-0.43265503644943) },
+ { FRAC_CONST(0.97079253196716), FRAC_CONST(0.09325857460499) },
+ { FRAC_CONST(-0.92404294013977), FRAC_CONST(0.85507702827454) },
+ { FRAC_CONST(-0.69506472349167), FRAC_CONST(0.98633414506912) },
+ { FRAC_CONST(0.26559203863144), FRAC_CONST(0.73314309120178) },
+ { FRAC_CONST(0.28038442134857), FRAC_CONST(0.14537914097309) },
+ { FRAC_CONST(-0.74138122797012), FRAC_CONST(0.99310338497162) },
+ { FRAC_CONST(-0.01752796024084), FRAC_CONST(-0.82616633176804) },
+ { FRAC_CONST(-0.55126774311066), FRAC_CONST(-0.98898541927338) },
+ { FRAC_CONST(0.97960901260376), FRAC_CONST(-0.94021445512772) },
+ { FRAC_CONST(-0.99196308851242), FRAC_CONST(0.67019015550613) },
+ { FRAC_CONST(-0.67684930562973), FRAC_CONST(0.12631492316723) },
+ { FRAC_CONST(0.09140039235353), FRAC_CONST(-0.20537731051445) },
+ { FRAC_CONST(-0.71658962965012), FRAC_CONST(-0.97788202762604) },
+ { FRAC_CONST(0.81014639139175), FRAC_CONST(0.53722649812698) },
+ { FRAC_CONST(0.40616992115974), FRAC_CONST(-0.26469007134438) },
+ { FRAC_CONST(-0.67680186033249), FRAC_CONST(0.94502049684525) },
+ { FRAC_CONST(0.86849772930145), FRAC_CONST(-0.18333598971367) },
+ { FRAC_CONST(-0.99500381946564), FRAC_CONST(-0.02634122036397) },
+ { FRAC_CONST(0.84329187870026), FRAC_CONST(0.10406957566738) },
+ { FRAC_CONST(-0.09215968847275), FRAC_CONST(0.69540011882782) },
+ { FRAC_CONST(0.99956172704697), FRAC_CONST(-0.12358541786671) },
+ { FRAC_CONST(-0.79732781648636), FRAC_CONST(-0.91582524776459) },
+ { FRAC_CONST(0.96349972486496), FRAC_CONST(0.96640455722809) },
+ { FRAC_CONST(-0.79942780733109), FRAC_CONST(0.64323902130127) },
+ { FRAC_CONST(-0.11566039919853), FRAC_CONST(0.28587844967842) },
+ { FRAC_CONST(-0.39922955632210), FRAC_CONST(0.94129604101181) },
+ { FRAC_CONST(0.99089199304581), FRAC_CONST(-0.92062628269196) },
+ { FRAC_CONST(0.28631284832954), FRAC_CONST(-0.91035044193268) },
+ { FRAC_CONST(-0.83302724361420), FRAC_CONST(-0.67330408096313) },
+ { FRAC_CONST(0.95404446125031), FRAC_CONST(0.49162766337395) },
+ { FRAC_CONST(-0.06449863314629), FRAC_CONST(0.03250560909510) },
+ { FRAC_CONST(-0.99575054645538), FRAC_CONST(0.42389783263206) },
+ { FRAC_CONST(-0.65501141548157), FRAC_CONST(0.82546114921570) },
+ { FRAC_CONST(-0.81254440546036), FRAC_CONST(-0.51627236604691) },
+ { FRAC_CONST(-0.99646371603012), FRAC_CONST(0.84490531682968) },
+ { FRAC_CONST(0.00287840608507), FRAC_CONST(0.64768260717392) },
+ { FRAC_CONST(0.70176988840103), FRAC_CONST(-0.20453028380871) },
+ { FRAC_CONST(0.96361881494522), FRAC_CONST(0.40706968307495) },
+ { FRAC_CONST(-0.68883758783340), FRAC_CONST(0.91338956356049) },
+ { FRAC_CONST(-0.34875586628914), FRAC_CONST(0.71472293138504) },
+ { FRAC_CONST(0.91980081796646), FRAC_CONST(0.66507452726364) },
+ { FRAC_CONST(-0.99009048938751), FRAC_CONST(0.85868018865585) },
+ { FRAC_CONST(0.68865793943405), FRAC_CONST(0.55660319328308) },
+ { FRAC_CONST(-0.99484401941299), FRAC_CONST(-0.20052559673786) },
+ { FRAC_CONST(0.94214510917664), FRAC_CONST(-0.99696427583694) },
+ { FRAC_CONST(-0.67414629459381), FRAC_CONST(0.49548220634460) },
+ { FRAC_CONST(-0.47339352965355), FRAC_CONST(-0.85904330015182) },
+ { FRAC_CONST(0.14323651790619), FRAC_CONST(-0.94145596027374) },
+ { FRAC_CONST(-0.29268294572830), FRAC_CONST(0.05759225040674) },
+ { FRAC_CONST(0.43793860077858), FRAC_CONST(-0.78904968500137) },
+ { FRAC_CONST(-0.36345127224922), FRAC_CONST(0.64874434471130) },
+ { FRAC_CONST(-0.08750604838133), FRAC_CONST(0.97686946392059) },
+ { FRAC_CONST(-0.96495270729065), FRAC_CONST(-0.53960305452347) },
+ { FRAC_CONST(0.55526942014694), FRAC_CONST(0.78891521692276) },
+ { FRAC_CONST(0.73538213968277), FRAC_CONST(0.96452075242996) },
+ { FRAC_CONST(-0.30889773368835), FRAC_CONST(-0.80664390325546) },
+ { FRAC_CONST(0.03574995696545), FRAC_CONST(-0.97325617074966) },
+ { FRAC_CONST(0.98720687627792), FRAC_CONST(0.48409134149551) },
+ { FRAC_CONST(-0.81689298152924), FRAC_CONST(-0.90827703475952) },
+ { FRAC_CONST(0.67866861820221), FRAC_CONST(0.81284505128860) },
+ { FRAC_CONST(-0.15808570384979), FRAC_CONST(0.85279554128647) },
+ { FRAC_CONST(0.80723392963409), FRAC_CONST(-0.24717418849468) },
+ { FRAC_CONST(0.47788757085800), FRAC_CONST(-0.46333149075508) },
+ { FRAC_CONST(0.96367555856705), FRAC_CONST(0.38486748933792) },
+ { FRAC_CONST(-0.99143874645233), FRAC_CONST(-0.24945276975632) },
+ { FRAC_CONST(0.83081877231598), FRAC_CONST(-0.94780850410461) },
+ { FRAC_CONST(-0.58753192424774), FRAC_CONST(0.01290772389621) },
+ { FRAC_CONST(0.95538109540939), FRAC_CONST(-0.85557049512863) },
+ { FRAC_CONST(-0.96490919589996), FRAC_CONST(-0.64020973443985) },
+ { FRAC_CONST(-0.97327101230621), FRAC_CONST(0.12378127872944) },
+ { FRAC_CONST(0.91400367021561), FRAC_CONST(0.57972472906113) },
+ { FRAC_CONST(-0.99925839900970), FRAC_CONST(0.71084845066071) },
+ { FRAC_CONST(-0.86875903606415), FRAC_CONST(-0.20291699469090) },
+ { FRAC_CONST(-0.26240035891533), FRAC_CONST(-0.68264555931091) },
+ { FRAC_CONST(-0.24664412438869), FRAC_CONST(-0.87642270326614) },
+ { FRAC_CONST(0.02416275814176), FRAC_CONST(0.27192914485931) },
+ { FRAC_CONST(0.82068622112274), FRAC_CONST(-0.85087788105011) },
+ { FRAC_CONST(0.88547372817993), FRAC_CONST(-0.89636802673340) },
+ { FRAC_CONST(-0.18173077702522), FRAC_CONST(-0.26152145862579) },
+ { FRAC_CONST(0.09355476498604), FRAC_CONST(0.54845124483109) },
+ { FRAC_CONST(-0.54668414592743), FRAC_CONST(0.95980775356293) },
+ { FRAC_CONST(0.37050989270210), FRAC_CONST(-0.59910142421722) },
+ { FRAC_CONST(-0.70373594760895), FRAC_CONST(0.91227668523788) },
+ { FRAC_CONST(-0.34600785374641), FRAC_CONST(-0.99441426992416) },
+ { FRAC_CONST(-0.68774479627609), FRAC_CONST(-0.30238837003708) },
+ { FRAC_CONST(-0.26843291521072), FRAC_CONST(0.83115667104721) },
+ { FRAC_CONST(0.49072334170341), FRAC_CONST(-0.45359709858894) },
+ { FRAC_CONST(0.38975992798805), FRAC_CONST(0.95515358448029) },
+ { FRAC_CONST(-0.97757124900818), FRAC_CONST(0.05305894464254) },
+ { FRAC_CONST(-0.17325553297997), FRAC_CONST(-0.92770671844482) },
+ { FRAC_CONST(0.99948036670685), FRAC_CONST(0.58285546302795) },
+ { FRAC_CONST(-0.64946246147156), FRAC_CONST(0.68645507097244) },
+ { FRAC_CONST(-0.12016920745373), FRAC_CONST(-0.57147324085236) },
+ { FRAC_CONST(-0.58947455883026), FRAC_CONST(-0.34847131371498) },
+ { FRAC_CONST(-0.41815140843391), FRAC_CONST(0.16276422142982) },
+ { FRAC_CONST(0.99885648488998), FRAC_CONST(0.11136095225811) },
+ { FRAC_CONST(-0.56649613380432), FRAC_CONST(-0.90494865179062) },
+ { FRAC_CONST(0.94138020277023), FRAC_CONST(0.35281917452812) },
+ { FRAC_CONST(-0.75725078582764), FRAC_CONST(0.53650552034378) },
+ { FRAC_CONST(0.20541973412037), FRAC_CONST(-0.94435143470764) },
+ { FRAC_CONST(0.99980372190475), FRAC_CONST(0.79835915565491) },
+ { FRAC_CONST(0.29078277945518), FRAC_CONST(0.35393777489662) },
+ { FRAC_CONST(-0.62858772277832), FRAC_CONST(0.38765692710876) },
+ { FRAC_CONST(0.43440905213356), FRAC_CONST(-0.98546332120895) },
+ { FRAC_CONST(-0.98298585414886), FRAC_CONST(0.21021524071693) },
+ { FRAC_CONST(0.19513028860092), FRAC_CONST(-0.94239830970764) },
+ { FRAC_CONST(-0.95476663112640), FRAC_CONST(0.98364555835724) },
+ { FRAC_CONST(0.93379634618759), FRAC_CONST(-0.70881992578506) },
+ { FRAC_CONST(-0.85235410928726), FRAC_CONST(-0.08342348039150) },
+ { FRAC_CONST(-0.86425095796585), FRAC_CONST(-0.45795026421547) },
+ { FRAC_CONST(0.38879778981209), FRAC_CONST(0.97274428606033) },
+ { FRAC_CONST(0.92045122385025), FRAC_CONST(-0.62433654069901) },
+ { FRAC_CONST(0.89162534475327), FRAC_CONST(0.54950958490372) },
+ { FRAC_CONST(-0.36834338307381), FRAC_CONST(0.96458297967911) },
+ { FRAC_CONST(0.93891763687134), FRAC_CONST(-0.89968353509903) },
+ { FRAC_CONST(0.99267655611038), FRAC_CONST(-0.03757034242153) },
+ { FRAC_CONST(-0.94063472747803), FRAC_CONST(0.41332337260246) },
+ { FRAC_CONST(0.99740225076675), FRAC_CONST(-0.16830494999886) },
+ { FRAC_CONST(-0.35899412631989), FRAC_CONST(-0.46633225679398) },
+ { FRAC_CONST(0.05237237364054), FRAC_CONST(-0.25640362501144) },
+ { FRAC_CONST(0.36703583598137), FRAC_CONST(-0.38653266429901) },
+ { FRAC_CONST(0.91653180122375), FRAC_CONST(-0.30587628483772) },
+ { FRAC_CONST(0.69000804424286), FRAC_CONST(0.90952169895172) },
+ { FRAC_CONST(-0.38658750057220), FRAC_CONST(0.99501574039459) },
+ { FRAC_CONST(-0.29250815510750), FRAC_CONST(0.37444993853569) },
+ { FRAC_CONST(-0.60182201862335), FRAC_CONST(0.86779648065567) },
+ { FRAC_CONST(-0.97418588399887), FRAC_CONST(0.96468526124954) },
+ { FRAC_CONST(0.88461571931839), FRAC_CONST(0.57508403062820) },
+ { FRAC_CONST(0.05198933184147), FRAC_CONST(0.21269661188126) },
+ { FRAC_CONST(-0.53499621152878), FRAC_CONST(0.97241556644440) },
+ { FRAC_CONST(-0.49429559707642), FRAC_CONST(0.98183864355087) },
+ { FRAC_CONST(-0.98935145139694), FRAC_CONST(-0.40249159932137) },
+ { FRAC_CONST(-0.98081380128860), FRAC_CONST(-0.72856897115707) },
+ { FRAC_CONST(-0.27338150143623), FRAC_CONST(0.99950921535492) },
+ { FRAC_CONST(0.06310802698135), FRAC_CONST(-0.54539585113525) },
+ { FRAC_CONST(-0.20461677014828), FRAC_CONST(-0.14209978282452) },
+ { FRAC_CONST(0.66223841905594), FRAC_CONST(0.72528582811356) },
+ { FRAC_CONST(-0.84764343500137), FRAC_CONST(0.02372316829860) },
+ { FRAC_CONST(-0.89039862155914), FRAC_CONST(0.88866579532623) },
+ { FRAC_CONST(0.95903307199478), FRAC_CONST(0.76744925975800) },
+ { FRAC_CONST(0.73504126071930), FRAC_CONST(-0.03747203201056) },
+ { FRAC_CONST(-0.31744435429573), FRAC_CONST(-0.36834111809731) },
+ { FRAC_CONST(-0.34110826253891), FRAC_CONST(0.40211221575737) },
+ { FRAC_CONST(0.47803884744644), FRAC_CONST(-0.39423218369484) },
+ { FRAC_CONST(0.98299193382263), FRAC_CONST(0.01989791356027) },
+ { FRAC_CONST(-0.30963072180748), FRAC_CONST(-0.18076720833778) },
+ { FRAC_CONST(0.99992591142654), FRAC_CONST(-0.26281872391701) },
+ { FRAC_CONST(-0.93149733543396), FRAC_CONST(-0.98313164710999) },
+ { FRAC_CONST(0.99923473596573), FRAC_CONST(-0.80142992734909) },
+ { FRAC_CONST(-0.26024168729782), FRAC_CONST(-0.75999760627747) },
+ { FRAC_CONST(-0.35712513327599), FRAC_CONST(0.19298963248730) },
+ { FRAC_CONST(-0.99899083375931), FRAC_CONST(0.74645155668259) },
+ { FRAC_CONST(0.86557173728943), FRAC_CONST(0.55593866109848) },
+ { FRAC_CONST(0.33408042788506), FRAC_CONST(0.86185956001282) },
+ { FRAC_CONST(0.99010735750198), FRAC_CONST(0.04602397605777) },
+ { FRAC_CONST(-0.66694271564484), FRAC_CONST(-0.91643613576889) },
+ { FRAC_CONST(0.64016789197922), FRAC_CONST(0.15649530291557) },
+ { FRAC_CONST(0.99570536613464), FRAC_CONST(0.45844584703445) },
+ { FRAC_CONST(-0.63431465625763), FRAC_CONST(0.21079117059708) },
+ { FRAC_CONST(-0.07706847041845), FRAC_CONST(-0.89581435918808) },
+ { FRAC_CONST(0.98590087890625), FRAC_CONST(0.88241720199585) },
+ { FRAC_CONST(0.80099332332611), FRAC_CONST(-0.36851897835732) },
+ { FRAC_CONST(0.78368133306503), FRAC_CONST(0.45506998896599) },
+ { FRAC_CONST(0.08707806468010), FRAC_CONST(0.80938994884491) },
+ { FRAC_CONST(-0.86811882257462), FRAC_CONST(0.39347308874130) },
+ { FRAC_CONST(-0.39466530084610), FRAC_CONST(-0.66809433698654) },
+ { FRAC_CONST(0.97875326871872), FRAC_CONST(-0.72467839717865) },
+ { FRAC_CONST(-0.95038563013077), FRAC_CONST(0.89563220739365) },
+ { FRAC_CONST(0.17005239427090), FRAC_CONST(0.54683053493500) },
+ { FRAC_CONST(-0.76910793781281), FRAC_CONST(-0.96226614713669) },
+ { FRAC_CONST(0.99743282794952), FRAC_CONST(0.42697158455849) },
+ { FRAC_CONST(0.95437383651733), FRAC_CONST(0.97002321481705) },
+ { FRAC_CONST(0.99578905105591), FRAC_CONST(-0.54106825590134) },
+ { FRAC_CONST(0.28058260679245), FRAC_CONST(-0.85361421108246) },
+ { FRAC_CONST(0.85256522893906), FRAC_CONST(-0.64567607641220) },
+ { FRAC_CONST(-0.50608539581299), FRAC_CONST(-0.65846014022827) },
+ { FRAC_CONST(-0.97210735082626), FRAC_CONST(-0.23095212876797) },
+ { FRAC_CONST(0.95424050092697), FRAC_CONST(-0.99240148067474) },
+ { FRAC_CONST(-0.96926569938660), FRAC_CONST(0.73775655031204) },
+ { FRAC_CONST(0.30872163176537), FRAC_CONST(0.41514959931374) },
+ { FRAC_CONST(-0.24523839354515), FRAC_CONST(0.63206630945206) },
+ { FRAC_CONST(-0.33813264966011), FRAC_CONST(-0.38661777973175) },
+ { FRAC_CONST(-0.05826828256249), FRAC_CONST(-0.06940773874521) },
+ { FRAC_CONST(-0.22898460924625), FRAC_CONST(0.97054851055145) },
+ { FRAC_CONST(-0.18509915471077), FRAC_CONST(0.47565764188766) },
+ { FRAC_CONST(-0.10488238185644), FRAC_CONST(-0.87769949436188) },
+ { FRAC_CONST(-0.71886587142944), FRAC_CONST(0.78030979633331) },
+ { FRAC_CONST(0.99793875217438), FRAC_CONST(0.90041309595108) },
+ { FRAC_CONST(0.57563304901123), FRAC_CONST(-0.91034334897995) },
+ { FRAC_CONST(0.28909647464752), FRAC_CONST(0.96307784318924) },
+ { FRAC_CONST(0.42188999056816), FRAC_CONST(0.48148649930954) },
+ { FRAC_CONST(0.93335050344467), FRAC_CONST(-0.43537023663521) },
+ { FRAC_CONST(-0.97087377309799), FRAC_CONST(0.86636447906494) },
+ { FRAC_CONST(0.36722871661186), FRAC_CONST(0.65291655063629) },
+ { FRAC_CONST(-0.81093025207520), FRAC_CONST(0.08778370171785) },
+ { FRAC_CONST(-0.26240602135658), FRAC_CONST(-0.92774093151093) },
+ { FRAC_CONST(0.83996498584747), FRAC_CONST(0.55839848518372) },
+ { FRAC_CONST(-0.99909615516663), FRAC_CONST(-0.96024608612061) },
+ { FRAC_CONST(0.74649465084076), FRAC_CONST(0.12144893407822) },
+ { FRAC_CONST(-0.74774593114853), FRAC_CONST(-0.26898062229156) },
+ { FRAC_CONST(0.95781666040421), FRAC_CONST(-0.79047924280167) },
+ { FRAC_CONST(0.95472306013107), FRAC_CONST(-0.08588775992393) },
+ { FRAC_CONST(0.48708331584930), FRAC_CONST(0.99999040365219) },
+ { FRAC_CONST(0.46332037448883), FRAC_CONST(0.10964126139879) },
+ { FRAC_CONST(-0.76497006416321), FRAC_CONST(0.89210927486420) },
+ { FRAC_CONST(0.57397389411926), FRAC_CONST(0.35289704799652) },
+ { FRAC_CONST(0.75374317169189), FRAC_CONST(0.96705216169357) },
+ { FRAC_CONST(-0.59174400568008), FRAC_CONST(-0.89405369758606) },
+ { FRAC_CONST(0.75087904930115), FRAC_CONST(-0.29612672328949) },
+ { FRAC_CONST(-0.98607856035233), FRAC_CONST(0.25034910440445) },
+ { FRAC_CONST(-0.40761056542397), FRAC_CONST(-0.90045571327209) },
+ { FRAC_CONST(0.66929268836975), FRAC_CONST(0.98629492521286) },
+ { FRAC_CONST(-0.97463697195053), FRAC_CONST(-0.00190223299433) },
+ { FRAC_CONST(0.90145510435104), FRAC_CONST(0.99781388044357) },
+ { FRAC_CONST(-0.87259286642075), FRAC_CONST(0.99233585596085) },
+ { FRAC_CONST(-0.91529458761215), FRAC_CONST(-0.15698707103729) },
+ { FRAC_CONST(-0.03305738791823), FRAC_CONST(-0.37205263972282) },
+ { FRAC_CONST(0.07223051041365), FRAC_CONST(-0.88805001974106) },
+ { FRAC_CONST(0.99498009681702), FRAC_CONST(0.97094357013702) },
+ { FRAC_CONST(-0.74904936552048), FRAC_CONST(0.99985486268997) },
+ { FRAC_CONST(0.04585228487849), FRAC_CONST(0.99812334775925) },
+ { FRAC_CONST(-0.89054954051971), FRAC_CONST(-0.31791913509369) },
+ { FRAC_CONST(-0.83782142400742), FRAC_CONST(0.97637635469437) },
+ { FRAC_CONST(0.33454805612564), FRAC_CONST(-0.86231517791748) },
+ { FRAC_CONST(-0.99707579612732), FRAC_CONST(0.93237990140915) },
+ { FRAC_CONST(-0.22827528417110), FRAC_CONST(0.18874759972095) },
+ { FRAC_CONST(0.67248046398163), FRAC_CONST(-0.03646211326122) },
+ { FRAC_CONST(-0.05146538093686), FRAC_CONST(-0.92599701881409) },
+ { FRAC_CONST(0.99947297573090), FRAC_CONST(0.93625229597092) },
+ { FRAC_CONST(0.66951125860214), FRAC_CONST(0.98905825614929) },
+ { FRAC_CONST(-0.99602955579758), FRAC_CONST(-0.44654715061188) },
+ { FRAC_CONST(0.82104903459549), FRAC_CONST(0.99540740251541) },
+ { FRAC_CONST(0.99186509847641), FRAC_CONST(0.72022998332977) },
+ { FRAC_CONST(-0.65284591913223), FRAC_CONST(0.52186721563339) },
+ { FRAC_CONST(0.93885445594788), FRAC_CONST(-0.74895310401917) },
+ { FRAC_CONST(0.96735250949860), FRAC_CONST(0.90891814231873) },
+ { FRAC_CONST(-0.22225968539715), FRAC_CONST(0.57124030590057) },
+ { FRAC_CONST(-0.44132784008980), FRAC_CONST(-0.92688840627670) },
+ { FRAC_CONST(-0.85694974660873), FRAC_CONST(0.88844531774521) },
+ { FRAC_CONST(0.91783040761948), FRAC_CONST(-0.46356892585754) },
+ { FRAC_CONST(0.72556972503662), FRAC_CONST(-0.99899554252625) },
+ { FRAC_CONST(-0.99711579084396), FRAC_CONST(0.58211559057236) },
+ { FRAC_CONST(0.77638977766037), FRAC_CONST(0.94321835041046) },
+ { FRAC_CONST(0.07717324048281), FRAC_CONST(0.58638399839401) },
+ { FRAC_CONST(-0.56049829721451), FRAC_CONST(0.82522302865982) },
+ { FRAC_CONST(0.98398894071579), FRAC_CONST(0.39467439055443) },
+ { FRAC_CONST(0.47546947002411), FRAC_CONST(0.68613046407700) },
+ { FRAC_CONST(0.65675091743469), FRAC_CONST(0.18331636488438) },
+ { FRAC_CONST(0.03273375332355), FRAC_CONST(-0.74933111667633) },
+ { FRAC_CONST(-0.38684144616127), FRAC_CONST(0.51337349414825) },
+ { FRAC_CONST(-0.97346270084381), FRAC_CONST(-0.96549361944199) },
+ { FRAC_CONST(-0.53282153606415), FRAC_CONST(-0.91423267126083) },
+ { FRAC_CONST(0.99817311763763), FRAC_CONST(0.61133575439453) },
+ { FRAC_CONST(-0.50254499912262), FRAC_CONST(-0.88829338550568) },
+ { FRAC_CONST(0.01995873264968), FRAC_CONST(0.85223513841629) },
+ { FRAC_CONST(0.99930381774902), FRAC_CONST(0.94578897953033) },
+ { FRAC_CONST(0.82907766103745), FRAC_CONST(-0.06323442608118) },
+ { FRAC_CONST(-0.58660709857941), FRAC_CONST(0.96840775012970) },
+ { FRAC_CONST(-0.17573736608028), FRAC_CONST(-0.48166921734810) },
+ { FRAC_CONST(0.83434289693832), FRAC_CONST(-0.13023450970650) },
+ { FRAC_CONST(0.05946491286159), FRAC_CONST(0.20511047542095) },
+ { FRAC_CONST(0.81505483388901), FRAC_CONST(-0.94685947895050) },
+ { FRAC_CONST(-0.44976380467415), FRAC_CONST(0.40894573926926) },
+ { FRAC_CONST(-0.89746475219727), FRAC_CONST(0.99846577644348) },
+ { FRAC_CONST(0.39677256345749), FRAC_CONST(-0.74854665994644) },
+ { FRAC_CONST(-0.07588948309422), FRAC_CONST(0.74096214771271) },
+ { FRAC_CONST(0.76343196630478), FRAC_CONST(0.41746628284454) },
+ { FRAC_CONST(-0.74490106105804), FRAC_CONST(0.94725912809372) },
+ { FRAC_CONST(0.64880120754242), FRAC_CONST(0.41336661577225) },
+ { FRAC_CONST(0.62319535017014), FRAC_CONST(-0.93098312616348) },
+ { FRAC_CONST(0.42215818166733), FRAC_CONST(-0.07712787389755) },
+ { FRAC_CONST(0.02704554051161), FRAC_CONST(-0.05417517945170) },
+ { FRAC_CONST(0.80001771450043), FRAC_CONST(0.91542196273804) },
+ { FRAC_CONST(-0.79351830482483), FRAC_CONST(-0.36208897829056) },
+ { FRAC_CONST(0.63872361183167), FRAC_CONST(0.08128252625465) },
+ { FRAC_CONST(0.52890521287918), FRAC_CONST(0.60048872232437) },
+ { FRAC_CONST(0.74238550662994), FRAC_CONST(0.04491915181279) },
+ { FRAC_CONST(0.99096131324768), FRAC_CONST(-0.19451183080673) },
+ { FRAC_CONST(-0.80412328243256), FRAC_CONST(-0.88513815402985) },
+ { FRAC_CONST(-0.64612615108490), FRAC_CONST(0.72198677062988) },
+ { FRAC_CONST(0.11657770723104), FRAC_CONST(-0.83662831783295) },
+ { FRAC_CONST(-0.95053184032440), FRAC_CONST(-0.96939903497696) },
+ { FRAC_CONST(-0.62228870391846), FRAC_CONST(0.82767260074615) },
+ { FRAC_CONST(0.03004475869238), FRAC_CONST(-0.99738895893097) },
+ { FRAC_CONST(-0.97987216711044), FRAC_CONST(0.36526128649712) },
+ { FRAC_CONST(-0.99986982345581), FRAC_CONST(-0.36021611094475) },
+ { FRAC_CONST(0.89110648632050), FRAC_CONST(-0.97894251346588) },
+ { FRAC_CONST(0.10407960414886), FRAC_CONST(0.77357792854309) },
+ { FRAC_CONST(0.95964735746384), FRAC_CONST(-0.35435819625854) },
+ { FRAC_CONST(0.50843232870102), FRAC_CONST(0.96107691526413) },
+ { FRAC_CONST(0.17006334662437), FRAC_CONST(-0.76854026317596) },
+ { FRAC_CONST(0.25872674584389), FRAC_CONST(0.99893301725388) },
+ { FRAC_CONST(-0.01115998718888), FRAC_CONST(0.98496019840240) },
+ { FRAC_CONST(-0.79598701000214), FRAC_CONST(0.97138410806656) },
+ { FRAC_CONST(-0.99264711141586), FRAC_CONST(-0.99542820453644) },
+ { FRAC_CONST(-0.99829661846161), FRAC_CONST(0.01877138763666) },
+ { FRAC_CONST(-0.70801013708115), FRAC_CONST(0.33680686354637) },
+ { FRAC_CONST(-0.70467054843903), FRAC_CONST(0.93272775411606) },
+ { FRAC_CONST(0.99846023321152), FRAC_CONST(-0.98725748062134) },
+ { FRAC_CONST(-0.63364970684052), FRAC_CONST(-0.16473594307899) },
+ { FRAC_CONST(-0.16258217394352), FRAC_CONST(-0.95939123630524) },
+ { FRAC_CONST(-0.43645593523979), FRAC_CONST(-0.94805032014847) },
+ { FRAC_CONST(-0.99848473072052), FRAC_CONST(0.96245169639587) },
+ { FRAC_CONST(-0.16796459257603), FRAC_CONST(-0.98987513780594) },
+ { FRAC_CONST(-0.87979227304459), FRAC_CONST(-0.71725726127625) },
+ { FRAC_CONST(0.44183099269867), FRAC_CONST(-0.93568974733353) },
+ { FRAC_CONST(0.93310177326202), FRAC_CONST(-0.99913311004639) },
+ { FRAC_CONST(-0.93941932916641), FRAC_CONST(-0.56409376859665) },
+ { FRAC_CONST(-0.88590002059937), FRAC_CONST(0.47624599933624) },
+ { FRAC_CONST(0.99971461296082), FRAC_CONST(-0.83889955282211) },
+ { FRAC_CONST(-0.75376385450363), FRAC_CONST(0.00814643409103) },
+ { FRAC_CONST(0.93887686729431), FRAC_CONST(-0.11284527927637) },
+ { FRAC_CONST(0.85126435756683), FRAC_CONST(0.52349251508713) },
+ { FRAC_CONST(0.39701420068741), FRAC_CONST(0.81779634952545) },
+ { FRAC_CONST(-0.37024465203285), FRAC_CONST(-0.87071657180786) },
+ { FRAC_CONST(-0.36024826765060), FRAC_CONST(0.34655734896660) },
+ { FRAC_CONST(-0.93388813734055), FRAC_CONST(-0.84476542472839) },
+ { FRAC_CONST(-0.65298801660538), FRAC_CONST(-0.18439576029778) },
+ { FRAC_CONST(0.11960318684578), FRAC_CONST(0.99899345636368) },
+ { FRAC_CONST(0.94292563199997), FRAC_CONST(0.83163905143738) },
+ { FRAC_CONST(0.75081145763397), FRAC_CONST(-0.35533222556114) },
+ { FRAC_CONST(0.56721979379654), FRAC_CONST(-0.24076835811138) },
+ { FRAC_CONST(0.46857765316963), FRAC_CONST(-0.30140233039856) },
+ { FRAC_CONST(0.97312313318253), FRAC_CONST(-0.99548190832138) },
+ { FRAC_CONST(-0.38299977779388), FRAC_CONST(0.98516911268234) },
+ { FRAC_CONST(0.41025799512863), FRAC_CONST(0.02116736955941) },
+ { FRAC_CONST(0.09638062119484), FRAC_CONST(0.04411984235048) },
+ { FRAC_CONST(-0.85283249616623), FRAC_CONST(0.91475564241409) },
+ { FRAC_CONST(0.88866806030273), FRAC_CONST(-0.99735265970230) },
+ { FRAC_CONST(-0.48202428221703), FRAC_CONST(-0.96805608272552) },
+ { FRAC_CONST(0.27572581171989), FRAC_CONST(0.58634752035141) },
+ { FRAC_CONST(-0.65889132022858), FRAC_CONST(0.58835631608963) },
+ { FRAC_CONST(0.98838084936142), FRAC_CONST(0.99994349479675) },
+ { FRAC_CONST(-0.20651349425316), FRAC_CONST(0.54593044519424) },
+ { FRAC_CONST(-0.62126415967941), FRAC_CONST(-0.59893679618835) },
+ { FRAC_CONST(0.20320105552673), FRAC_CONST(-0.86879181861877) },
+ { FRAC_CONST(-0.97790551185608), FRAC_CONST(0.96290808916092) },
+ { FRAC_CONST(0.11112534999847), FRAC_CONST(0.21484763920307) },
+ { FRAC_CONST(-0.41368338465691), FRAC_CONST(0.28216838836670) },
+ { FRAC_CONST(0.24133038520813), FRAC_CONST(0.51294362545013) },
+ { FRAC_CONST(-0.66393411159515), FRAC_CONST(-0.08249679952860) },
+ { FRAC_CONST(-0.53697830438614), FRAC_CONST(-0.97649902105331) },
+ { FRAC_CONST(-0.97224736213684), FRAC_CONST(0.22081333398819) },
+ { FRAC_CONST(0.87392479181290), FRAC_CONST(-0.12796173989773) },
+ { FRAC_CONST(0.19050361216068), FRAC_CONST(0.01602615416050) },
+ { FRAC_CONST(-0.46353441476822), FRAC_CONST(-0.95249038934708) },
+ { FRAC_CONST(-0.07064096629620), FRAC_CONST(-0.94479805231094) },
+ { FRAC_CONST(-0.92444086074829), FRAC_CONST(-0.10457590222359) },
+ { FRAC_CONST(-0.83822596073151), FRAC_CONST(-0.01695043221116) },
+ { FRAC_CONST(0.75214684009552), FRAC_CONST(-0.99955683946609) },
+ { FRAC_CONST(-0.42102998495102), FRAC_CONST(0.99720942974091) },
+ { FRAC_CONST(-0.72094786167145), FRAC_CONST(-0.35008960962296) },
+ { FRAC_CONST(0.78843313455582), FRAC_CONST(0.52851396799088) },
+ { FRAC_CONST(0.97394025325775), FRAC_CONST(-0.26695942878723) },
+ { FRAC_CONST(0.99206465482712), FRAC_CONST(-0.57010120153427) },
+ { FRAC_CONST(0.76789611577988), FRAC_CONST(-0.76519358158112) },
+ { FRAC_CONST(-0.82002419233322), FRAC_CONST(-0.73530179262161) },
+ { FRAC_CONST(0.81924992799759), FRAC_CONST(0.99698424339294) },
+ { FRAC_CONST(-0.26719850301743), FRAC_CONST(0.68903368711472) },
+ { FRAC_CONST(-0.43311259150505), FRAC_CONST(0.85321813821793) },
+ { FRAC_CONST(0.99194979667664), FRAC_CONST(0.91876250505447) },
+ { FRAC_CONST(-0.80691999197006), FRAC_CONST(-0.32627540826797) },
+ { FRAC_CONST(0.43080005049706), FRAC_CONST(-0.21919095516205) },
+ { FRAC_CONST(0.67709493637085), FRAC_CONST(-0.95478075742722) },
+ { FRAC_CONST(0.56151771545410), FRAC_CONST(-0.70693808794022) },
+ { FRAC_CONST(0.10831862688065), FRAC_CONST(-0.08628837019205) },
+ { FRAC_CONST(0.91229414939880), FRAC_CONST(-0.65987348556519) },
+ { FRAC_CONST(-0.48972892761230), FRAC_CONST(0.56289243698120) },
+ { FRAC_CONST(-0.89033657312393), FRAC_CONST(-0.71656566858292) },
+ { FRAC_CONST(0.65269446372986), FRAC_CONST(0.65916007757187) },
+ { FRAC_CONST(0.67439478635788), FRAC_CONST(-0.81684380769730) },
+ { FRAC_CONST(-0.47770830988884), FRAC_CONST(-0.16789555549622) },
+ { FRAC_CONST(-0.99715977907181), FRAC_CONST(-0.93565785884857) },
+ { FRAC_CONST(-0.90889590978622), FRAC_CONST(0.62034398317337) },
+ { FRAC_CONST(-0.06618622690439), FRAC_CONST(-0.23812216520309) },
+ { FRAC_CONST(0.99430269002914), FRAC_CONST(0.18812555074692) },
+ { FRAC_CONST(0.97686403989792), FRAC_CONST(-0.28664535284042) },
+ { FRAC_CONST(0.94813650846481), FRAC_CONST(-0.97506642341614) },
+ { FRAC_CONST(-0.95434498786926), FRAC_CONST(-0.79607981443405) },
+ { FRAC_CONST(-0.49104782938957), FRAC_CONST(0.32895213365555) },
+ { FRAC_CONST(0.99881172180176), FRAC_CONST(0.88993984460831) },
+ { FRAC_CONST(0.50449168682098), FRAC_CONST(-0.85995072126389) },
+ { FRAC_CONST(0.47162890434265), FRAC_CONST(-0.18680204451084) },
+ { FRAC_CONST(-0.62081581354141), FRAC_CONST(0.75000673532486) },
+ { FRAC_CONST(-0.43867015838623), FRAC_CONST(0.99998068809509) },
+ { FRAC_CONST(0.98630565404892), FRAC_CONST(-0.53578901290894) },
+ { FRAC_CONST(-0.61510360240936), FRAC_CONST(-0.89515018463135) },
+ { FRAC_CONST(-0.03841517493129), FRAC_CONST(-0.69888818264008) },
+ { FRAC_CONST(-0.30102157592773), FRAC_CONST(-0.07667808979750) },
+ { FRAC_CONST(0.41881284117699), FRAC_CONST(0.02188098989427) },
+ { FRAC_CONST(-0.86135452985764), FRAC_CONST(0.98947483301163) },
+ { FRAC_CONST(0.67226862907410), FRAC_CONST(-0.13494388759136) },
+ { FRAC_CONST(-0.70737397670746), FRAC_CONST(-0.76547348499298) },
+ { FRAC_CONST(0.94044947624207), FRAC_CONST(0.09026201069355) },
+ { FRAC_CONST(-0.82386350631714), FRAC_CONST(0.08924768865108) },
+ { FRAC_CONST(-0.32070666551590), FRAC_CONST(0.50143420696259) },
+ { FRAC_CONST(0.57593160867691), FRAC_CONST(-0.98966425657272) },
+ { FRAC_CONST(-0.36326017975807), FRAC_CONST(0.07440242916346) },
+ { FRAC_CONST(0.99979043006897), FRAC_CONST(-0.14130286872387) },
+ { FRAC_CONST(-0.92366021871567), FRAC_CONST(-0.97979295253754) },
+ { FRAC_CONST(-0.44607177376747), FRAC_CONST(-0.54233253002167) },
+ { FRAC_CONST(0.44226801395416), FRAC_CONST(0.71326756477356) },
+ { FRAC_CONST(0.03671907261014), FRAC_CONST(0.63606387376785) },
+ { FRAC_CONST(0.52175426483154), FRAC_CONST(-0.85396826267242) },
+ { FRAC_CONST(-0.94701141119003), FRAC_CONST(-0.01826348155737) },
+ { FRAC_CONST(-0.98759609460831), FRAC_CONST(0.82288712263107) },
+ { FRAC_CONST(0.87434792518616), FRAC_CONST(0.89399492740631) },
+ { FRAC_CONST(-0.93412041664124), FRAC_CONST(0.41374051570892) },
+ { FRAC_CONST(0.96063941717148), FRAC_CONST(0.93116706609726) },
+ { FRAC_CONST(0.97534251213074), FRAC_CONST(0.86150932312012) },
+ { FRAC_CONST(0.99642467498779), FRAC_CONST(0.70190042257309) },
+ { FRAC_CONST(-0.94705086946487), FRAC_CONST(-0.29580041766167) },
+ { FRAC_CONST(0.91599804162979), FRAC_CONST(-0.98147833347321) }
};
#ifdef __cplusplus
#endif
-#endif
\ No newline at end of file
+#endif
+
Index: sbr_qmf.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_qmf.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_qmf.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_qmf.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -41,8 +41,8 @@
qmfa_info *qmfa_init(uint8_t channels)
{
- qmfa_info *qmfa = (qmfa_info*)malloc(sizeof(qmfa_info));
- qmfa->x = (real_t*)malloc(channels * 10 * sizeof(real_t));
+ qmfa_info *qmfa = (qmfa_info*)faad_malloc(sizeof(qmfa_info));
+ qmfa->x = (real_t*)faad_malloc(channels * 10 * sizeof(real_t));
memset(qmfa->x, 0, channels * 10 * sizeof(real_t));
qmfa->channels = channels;
@@ -54,22 +54,22 @@
{
if (qmfa)
{
- if (qmfa->x) free(qmfa->x);
- free(qmfa);
+ if (qmfa->x) faad_free(qmfa->x);
+ faad_free(qmfa);
}
}
void sbr_qmf_analysis_32(sbr_info *sbr, qmfa_info *qmfa, const real_t *input,
- qmf_t *X, uint8_t offset, uint8_t kx)
+ qmf_t X[MAX_NTSRHFG][32], uint8_t offset, uint8_t kx)
{
- uint8_t l;
- real_t u[64];
+ ALIGN real_t u[64];
#ifndef SBR_LOW_POWER
- real_t x[64], y[64];
+ ALIGN real_t x[64], y[64];
#else
- real_t y[32];
+ ALIGN real_t y[32];
#endif
- const real_t *inptr = input;
+ uint16_t in = 0;
+ uint8_t l;
/* qmf subsample l */
for (l = 0; l < sbr->numTimeSlotsRate; l++)
@@ -83,20 +83,20 @@
for (n = 32 - 1; n >= 0; n--)
{
#ifdef FIXED_POINT
- qmfa->x[n] = (*inptr++) >> 5;
+ qmfa->x[n] = (input[in++]) >> 5;
#else
- qmfa->x[n] = *inptr++;
+ qmfa->x[n] = input[in++];
#endif
}
/* window and summation to create array u */
for (n = 0; n < 64; n++)
{
- u[n] = MUL_R_C(qmfa->x[n], qmf_c[2*n]) +
- MUL_R_C(qmfa->x[n + 64], qmf_c[2*(n + 64)]) +
- MUL_R_C(qmfa->x[n + 128], qmf_c[2*(n + 128)]) +
- MUL_R_C(qmfa->x[n + 192], qmf_c[2*(n + 192)]) +
- MUL_R_C(qmfa->x[n + 256], qmf_c[2*(n + 256)]);
+ u[n] = MUL_F(qmfa->x[n], qmf_c[2*n]) +
+ MUL_F(qmfa->x[n + 64], qmf_c[2*(n + 64)]) +
+ MUL_F(qmfa->x[n + 128], qmf_c[2*(n + 128)]) +
+ MUL_F(qmfa->x[n + 192], qmf_c[2*(n + 192)]) +
+ MUL_F(qmfa->x[n + 256], qmf_c[2*(n + 256)]);
}
/* calculate 32 subband samples by introducing X */
@@ -114,39 +114,39 @@
if (n < kx)
{
#ifdef FIXED_POINT
- QMF_RE(X[((l + offset)<<5) + n]) = u[n] << 1;
+ QMF_RE(X[l + offset][n]) = u[n] << 1;
#else
- QMF_RE(X[((l + offset)<<5) + n]) = 2. * u[n];
+ QMF_RE(X[l + offset][n]) = 2. * u[n];
#endif
} else {
- QMF_RE(X[((l + offset)<<5) + n]) = 0;
+ QMF_RE(X[l + offset][n]) = 0;
}
}
#else
x[0] = u[0];
- x[63] = u[32];
- for (n = 2; n < 64; n += 2)
+ for (n = 0; n < 31; n++)
{
- x[n-1] = u[(n>>1)];
- x[n] = -u[64-(n>>1)];
+ x[2*n+1] = u[n+1] + u[63-n];
+ x[2*n+2] = u[n+1] - u[63-n];
}
+ x[63] = u[32];
- DCT4_64(y, x);
+ DCT4_64_kernel(y, x);
for (n = 0; n < 32; n++)
{
if (n < kx)
{
#ifdef FIXED_POINT
- QMF_RE(X[((l + offset)<<5) + n]) = y[n] << 1;
- QMF_IM(X[((l + offset)<<5) + n]) = -y[63-n] << 1;
+ QMF_RE(X[l + offset][n]) = y[n] << 1;
+ QMF_IM(X[l + offset][n]) = -y[63-n] << 1;
#else
- QMF_RE(X[((l + offset)<<5) + n]) = 2. * y[n];
- QMF_IM(X[((l + offset)<<5) + n]) = -2. * y[63-n];
+ QMF_RE(X[l + offset][n]) = 2. * y[n];
+ QMF_IM(X[l + offset][n]) = -2. * y[63-n];
#endif
} else {
- QMF_RE(X[((l + offset)<<5) + n]) = 0;
- QMF_IM(X[((l + offset)<<5) + n]) = 0;
+ QMF_RE(X[l + offset][n]) = 0;
+ QMF_IM(X[l + offset][n]) = 0;
}
}
#endif
@@ -155,18 +155,32 @@
qmfs_info *qmfs_init(uint8_t channels)
{
- int size = 0;
- qmfs_info *qmfs = (qmfs_info*)malloc(sizeof(qmfs_info));
+ qmfs_info *qmfs = (qmfs_info*)faad_malloc(sizeof(qmfs_info));
- qmfs->v[0] = (real_t*)malloc(channels * 10 * sizeof(real_t));
+#ifndef SBR_LOW_POWER
+ qmfs->v[0] = (real_t*)faad_malloc(channels * 10 * sizeof(real_t));
memset(qmfs->v[0], 0, channels * 10 * sizeof(real_t));
- qmfs->v[1] = (real_t*)malloc(channels * 10 * sizeof(real_t));
+ qmfs->v[1] = (real_t*)faad_malloc(channels * 10 * sizeof(real_t));
memset(qmfs->v[1], 0, channels * 10 * sizeof(real_t));
+#else
+ qmfs->v[0] = (real_t*)faad_malloc(channels * 20 * sizeof(real_t));
+ memset(qmfs->v[0], 0, channels * 20 * sizeof(real_t));
+ qmfs->v[1] = NULL;
+#endif
qmfs->v_index = 0;
qmfs->channels = channels;
+#ifdef USE_SSE
+ if (cpu_has_sse())
+ {
+ qmfs->qmf_func = sbr_qmf_synthesis_64_sse;
+ } else {
+ qmfs->qmf_func = sbr_qmf_synthesis_64;
+ }
+#endif
+
return qmfs;
}
@@ -174,84 +188,195 @@
{
if (qmfs)
{
- if (qmfs->v[0]) free(qmfs->v[0]);
- if (qmfs->v[1]) free(qmfs->v[1]);
- free(qmfs);
+ if (qmfs->v[0]) faad_free(qmfs->v[0]);
+#ifndef SBR_LOW_POWER
+ if (qmfs->v[1]) faad_free(qmfs->v[1]);
+#endif
+ faad_free(qmfs);
}
}
#ifdef SBR_LOW_POWER
-void sbr_qmf_synthesis_64(sbr_info *sbr, qmfs_info *qmfs, const qmf_t *X,
+void sbr_qmf_synthesis_64(sbr_info *sbr, qmfs_info *qmfs, qmf_t X[MAX_NTSRHFG][64],
real_t *output)
{
+ ALIGN real_t x[64];
+ ALIGN real_t y[64];
+ int16_t n, k, out = 0;
uint8_t l;
- int16_t n, k;
- real_t x[64];
- real_t *outptr = output;
/* qmf subsample l */
for (l = 0; l < sbr->numTimeSlotsRate; l++)
- {
- real_t *v0, *v1;
+ {
+ //real_t *v0, *v1;
/* shift buffers */
- memmove(qmfs->v[0] + 64, qmfs->v[0], (640-64)*sizeof(real_t));
- memmove(qmfs->v[1] + 64, qmfs->v[1], (640-64)*sizeof(real_t));
+ //memmove(qmfs->v[0] + 64, qmfs->v[0], (640-64)*sizeof(real_t));
+ //memmove(qmfs->v[1] + 64, qmfs->v[1], (640-64)*sizeof(real_t));
+ memmove(qmfs->v[0] + 128, qmfs->v[0], (1280-128)*sizeof(real_t));
+
+ //v0 = qmfs->v[qmfs->v_index];
+ //v1 = qmfs->v[(qmfs->v_index + 1) & 0x1];
+ //qmfs->v_index = (qmfs->v_index + 1) & 0x1;
- v0 = qmfs->v[qmfs->v_index];
- v1 = qmfs->v[(qmfs->v_index + 1) & 0x1];
- qmfs->v_index = (qmfs->v_index + 1) & 0x1;
+ /* calculate 128 samples */
+ for (k = 0; k < 64; k++)
+ {
+#ifdef FIXED_POINT
+ x[k] = QMF_RE(X[l][k]);
+#else
+ x[k] = QMF_RE(X[l][k]) / 32.;
+#endif
+ }
+
+ for (n = 0; n < 32; n++)
+ {
+ y[2*n] = -x[2*n];
+ y[2*n+1] = x[2*n+1];
+ }
+
+ DCT2_64_unscaled(x, x);
+
+ for (n = 0; n < 64; n++)
+ {
+ qmfs->v[0][n+32] = x[n];
+ }
+ for (n = 0; n < 32; n++)
+ {
+ qmfs->v[0][31 - n] = x[n + 1];
+ }
+ DST2_64_unscaled(x, y);
+ qmfs->v[0][96] = 0;
+ for (n = 1; n < 32; n++)
+ {
+ qmfs->v[0][n + 96] = x[n-1];
+ }
+
+ /* calculate 64 output samples and window */
+ for (k = 0; k < 64; k++)
+ {
+#if 1
+ output[out++] = MUL_F(qmfs->v[0][k], qmf_c[k]) +
+ MUL_F(qmfs->v[0][192 + k], qmf_c[64 + k]) +
+ MUL_F(qmfs->v[0][256 + k], qmf_c[128 + k]) +
+ MUL_F(qmfs->v[0][256 + 192 + k], qmf_c[128 + 64 + k]) +
+ MUL_F(qmfs->v[0][512 + k], qmf_c[256 + k]) +
+ MUL_F(qmfs->v[0][512 + 192 + k], qmf_c[256 + 64 + k]) +
+ MUL_F(qmfs->v[0][768 + k], qmf_c[384 + k]) +
+ MUL_F(qmfs->v[0][768 + 192 + k], qmf_c[384 + 64 + k]) +
+ MUL_F(qmfs->v[0][1024 + k], qmf_c[512 + k]) +
+ MUL_F(qmfs->v[0][1024 + 192 + k], qmf_c[512 + 64 + k]);
+#else
+ output[out++] = MUL_F(v0[k], qmf_c[k]) +
+ MUL_F(v0[64 + k], qmf_c[64 + k]) +
+ MUL_F(v0[128 + k], qmf_c[128 + k]) +
+ MUL_F(v0[192 + k], qmf_c[192 + k]) +
+ MUL_F(v0[256 + k], qmf_c[256 + k]) +
+ MUL_F(v0[320 + k], qmf_c[320 + k]) +
+ MUL_F(v0[384 + k], qmf_c[384 + k]) +
+ MUL_F(v0[448 + k], qmf_c[448 + k]) +
+ MUL_F(v0[512 + k], qmf_c[512 + k]) +
+ MUL_F(v0[576 + k], qmf_c[576 + k]);
+#endif
+ }
+ }
+}
+
+void sbr_qmf_synthesis_64_sse(sbr_info *sbr, qmfs_info *qmfs, qmf_t X[MAX_NTSRHFG][64],
+ real_t *output)
+{
+ ALIGN real_t x[64];
+ ALIGN real_t y[64];
+ ALIGN real_t y2[64];
+ int16_t n, k, out = 0;
+ uint8_t l;
+
+ /* qmf subsample l */
+ for (l = 0; l < sbr->numTimeSlotsRate; l++)
+ {
+ //real_t *v0, *v1;
+
+ /* shift buffers */
+ //memmove(qmfs->v[0] + 64, qmfs->v[0], (640-64)*sizeof(real_t));
+ //memmove(qmfs->v[1] + 64, qmfs->v[1], (640-64)*sizeof(real_t));
+ memmove(qmfs->v[0] + 128, qmfs->v[0], (1280-128)*sizeof(real_t));
+
+ //v0 = qmfs->v[qmfs->v_index];
+ //v1 = qmfs->v[(qmfs->v_index + 1) & 0x1];
+ //qmfs->v_index = (qmfs->v_index + 1) & 0x1;
/* calculate 128 samples */
for (k = 0; k < 64; k++)
{
#ifdef FIXED_POINT
- x[k] = QMF_RE(X[(l<<6) + k]);
+ x[k] = QMF_RE(X[l][k]);
#else
- x[k] = QMF_RE(X[(l<<6) + k]) / 32.;
+ x[k] = QMF_RE(X[l][k]) / 32.;
#endif
}
+ for (n = 0; n < 32; n++)
+ {
+ y[2*n] = -x[2*n];
+ y[2*n+1] = x[2*n+1];
+ }
+
DCT2_64_unscaled(x, x);
+ for (n = 0; n < 64; n++)
+ {
+ qmfs->v[0][n+32] = x[n];
+ }
for (n = 0; n < 32; n++)
{
- v0[n+32] = x[n];
- v1[n] = x[n+32];
+ qmfs->v[0][31 - n] = x[n + 1];
}
- v0[0] = v1[0];
+
+ DST2_64_unscaled(x, y);
+ qmfs->v[0][96] = 0;
for (n = 1; n < 32; n++)
- {
- v0[32 - n] = v0[n + 32];
- v1[n + 32] = -v1[32 - n];
- }
- v1[32] = 0;
+ {
+ qmfs->v[0][n + 96] = x[n-1];
+ }
/* calculate 64 output samples and window */
for (k = 0; k < 64; k++)
{
- *outptr++ = MUL_R_C(v0[k], qmf_c[k]) +
- MUL_R_C(v0[64 + k], qmf_c[64 + k]) +
- MUL_R_C(v0[128 + k], qmf_c[128 + k]) +
- MUL_R_C(v0[192 + k], qmf_c[192 + k]) +
- MUL_R_C(v0[256 + k], qmf_c[256 + k]) +
- MUL_R_C(v0[320 + k], qmf_c[320 + k]) +
- MUL_R_C(v0[384 + k], qmf_c[384 + k]) +
- MUL_R_C(v0[448 + k], qmf_c[448 + k]) +
- MUL_R_C(v0[512 + k], qmf_c[512 + k]) +
- MUL_R_C(v0[576 + k], qmf_c[576 + k]);
+#if 1
+ output[out++] = MUL_F(qmfs->v[0][k], qmf_c[k]) +
+ MUL_F(qmfs->v[0][192 + k], qmf_c[64 + k]) +
+ MUL_F(qmfs->v[0][256 + k], qmf_c[128 + k]) +
+ MUL_F(qmfs->v[0][256 + 192 + k], qmf_c[128 + 64 + k]) +
+ MUL_F(qmfs->v[0][512 + k], qmf_c[256 + k]) +
+ MUL_F(qmfs->v[0][512 + 192 + k], qmf_c[256 + 64 + k]) +
+ MUL_F(qmfs->v[0][768 + k], qmf_c[384 + k]) +
+ MUL_F(qmfs->v[0][768 + 192 + k], qmf_c[384 + 64 + k]) +
+ MUL_F(qmfs->v[0][1024 + k], qmf_c[512 + k]) +
+ MUL_F(qmfs->v[0][1024 + 192 + k], qmf_c[512 + 64 + k]);
+#else
+ output[out++] = MUL_F(v0[k], qmf_c[k]) +
+ MUL_F(v0[64 + k], qmf_c[64 + k]) +
+ MUL_F(v0[128 + k], qmf_c[128 + k]) +
+ MUL_F(v0[192 + k], qmf_c[192 + k]) +
+ MUL_F(v0[256 + k], qmf_c[256 + k]) +
+ MUL_F(v0[320 + k], qmf_c[320 + k]) +
+ MUL_F(v0[384 + k], qmf_c[384 + k]) +
+ MUL_F(v0[448 + k], qmf_c[448 + k]) +
+ MUL_F(v0[512 + k], qmf_c[512 + k]) +
+ MUL_F(v0[576 + k], qmf_c[576 + k]);
+#endif
}
}
}
#else
-void sbr_qmf_synthesis_64(sbr_info *sbr, qmfs_info *qmfs, const qmf_t *X,
+void sbr_qmf_synthesis_64(sbr_info *sbr, qmfs_info *qmfs, qmf_t X[MAX_NTSRHFG][64],
real_t *output)
{
+ ALIGN real_t x1[64], x2[64];
+ real_t scale = 1.f/64.f;
+ int16_t n, k, out = 0;
uint8_t l;
- int16_t n, k;
- real_t x1[64], x2[64];
- real_t *outptr = output;
/* qmf subsample l */
@@ -268,39 +393,168 @@
qmfs->v_index = (qmfs->v_index + 1) & 0x1;
/* calculate 128 samples */
- for (k = 0; k < 64; k++)
+ x1[0] = scale*QMF_RE(X[l][0]);
+ x2[63] = scale*QMF_IM(X[l][0]);
+ for (k = 0; k < 31; k++)
{
- x1[k] = QMF_RE(X[(l<<6) + k])/64.;
- x2[63 - k] = QMF_IM(X[(l<<6) + k])/64.;
+ x1[2*k+1] = scale*(QMF_RE(X[l][2*k+1]) - QMF_RE(X[l][2*k+2]));
+ x1[2*k+2] = scale*(QMF_RE(X[l][2*k+1]) + QMF_RE(X[l][2*k+2]));
+
+ x2[61 - 2*k] = scale*(QMF_IM(X[l][2*k+2]) - QMF_IM(X[l][2*k+1]));
+ x2[62 - 2*k] = scale*(QMF_IM(X[l][2*k+2]) + QMF_IM(X[l][2*k+1]));
}
+ x1[63] = scale*QMF_RE(X[l][63]);
+ x2[0] = scale*QMF_IM(X[l][63]);
- DCT4_64(x1, x1);
- DCT4_64(x2, x2);
+ DCT4_64_kernel(x1, x1);
+ DCT4_64_kernel(x2, x2);
- for (n = 0; n < 64; n+=2)
+ for (n = 0; n < 32; n++)
{
- v0[n] = x2[n] - x1[n];
- v0[n+1] = -x2[n+1] - x1[n+1];
- v1[63-n] = x2[n] + x1[n];
- v1[63-n-1] = -x2[n+1] + x1[n+1];
+ v0[ 2*n] = x2[2*n] - x1[2*n];
+ v1[63-2*n] = x2[2*n] + x1[2*n];
+ v0[ 2*n+1] = -x2[2*n+1] - x1[2*n+1];
+ v1[62-2*n] = -x2[2*n+1] + x1[2*n+1];
}
/* calculate 64 output samples and window */
for (k = 0; k < 64; k++)
{
- *outptr++ = MUL_R_C(v0[k], qmf_c[k]) +
- MUL_R_C(v0[64 + k], qmf_c[64 + k]) +
- MUL_R_C(v0[128 + k], qmf_c[128 + k]) +
- MUL_R_C(v0[192 + k], qmf_c[192 + k]) +
- MUL_R_C(v0[256 + k], qmf_c[256 + k]) +
- MUL_R_C(v0[320 + k], qmf_c[320 + k]) +
- MUL_R_C(v0[384 + k], qmf_c[384 + k]) +
- MUL_R_C(v0[448 + k], qmf_c[448 + k]) +
- MUL_R_C(v0[512 + k], qmf_c[512 + k]) +
- MUL_R_C(v0[576 + k], qmf_c[576 + k]);
+ output[out++] = MUL_F(v0[k], qmf_c[k]) +
+ MUL_F(v0[64 + k], qmf_c[64 + k]) +
+ MUL_F(v0[128 + k], qmf_c[128 + k]) +
+ MUL_F(v0[192 + k], qmf_c[192 + k]) +
+ MUL_F(v0[256 + k], qmf_c[256 + k]) +
+ MUL_F(v0[320 + k], qmf_c[320 + k]) +
+ MUL_F(v0[384 + k], qmf_c[384 + k]) +
+ MUL_F(v0[448 + k], qmf_c[448 + k]) +
+ MUL_F(v0[512 + k], qmf_c[512 + k]) +
+ MUL_F(v0[576 + k], qmf_c[576 + k]);
+ }
+ }
+}
+
+#ifdef USE_SSE
+void memmove_sse_576(real_t *out, const real_t *in)
+{
+ __m128 m[144];
+ uint16_t i;
+
+ for (i = 0; i < 144; i++)
+ {
+ m[i] = _mm_load_ps(&in[i*4]);
+ }
+ for (i = 0; i < 144; i++)
+ {
+ _mm_store_ps(&out[i*4], m[i]);
+ }
+}
+
+void sbr_qmf_synthesis_64_sse(sbr_info *sbr, qmfs_info *qmfs, qmf_t X[MAX_NTSRHFG][64],
+ real_t *output)
+{
+ ALIGN real_t x1[64], x2[64];
+ real_t scale = 1.f/64.f;
+ int16_t n, k, out = 0;
+ uint8_t l;
+
+
+ /* qmf subsample l */
+ for (l = 0; l < sbr->numTimeSlotsRate; l++)
+ {
+ real_t *v0, *v1;
+
+ /* shift buffers */
+ memmove_sse_576(qmfs->v[0] + 64, qmfs->v[0]);
+ memmove_sse_576(qmfs->v[1] + 64, qmfs->v[1]);
+
+ v0 = qmfs->v[qmfs->v_index];
+ v1 = qmfs->v[(qmfs->v_index + 1) & 0x1];
+ qmfs->v_index = (qmfs->v_index + 1) & 0x1;
+
+ /* calculate 128 samples */
+ x1[0] = scale*QMF_RE(X[l][0]);
+ x2[63] = scale*QMF_IM(X[l][0]);
+ for (k = 0; k < 31; k++)
+ {
+ x1[2*k+1] = scale*(QMF_RE(X[l][2*k+1]) - QMF_RE(X[l][2*k+2]));
+ x1[2*k+2] = scale*(QMF_RE(X[l][2*k+1]) + QMF_RE(X[l][2*k+2]));
+
+ x2[61 - 2*k] = scale*(QMF_IM(X[l][2*k+2]) - QMF_IM(X[l][2*k+1]));
+ x2[62 - 2*k] = scale*(QMF_IM(X[l][2*k+2]) + QMF_IM(X[l][2*k+1]));
+ }
+ x1[63] = scale*QMF_RE(X[l][63]);
+ x2[0] = scale*QMF_IM(X[l][63]);
+
+ DCT4_64_kernel(x1, x1);
+ DCT4_64_kernel(x2, x2);
+
+ for (n = 0; n < 32; n++)
+ {
+ v0[ 2*n ] = x2[2*n] - x1[2*n];
+ v1[63- 2*n ] = x2[2*n] + x1[2*n];
+ v0[ 2*n+1 ] = -x2[2*n+1] - x1[2*n+1];
+ v1[63-(2*n+1)] = -x2[2*n+1] + x1[2*n+1];
+ }
+
+ /* calculate 64 output samples and window */
+ for (k = 0; k < 64; k+=4)
+ {
+ __m128 m0, m1, m2, m3, m4, m5, m6, m7, m8, m9;
+ __m128 c0, c1, c2, c3, c4, c5, c6, c7, c8, c9;
+ __m128 s1, s2, s3, s4, s5, s6, s7, s8, s9;
+
+ m0 = _mm_load_ps(&v0[k]);
+ m1 = _mm_load_ps(&v0[k + 64]);
+ m2 = _mm_load_ps(&v0[k + 128]);
+ m3 = _mm_load_ps(&v0[k + 192]);
+ m4 = _mm_load_ps(&v0[k + 256]);
+ c0 = _mm_load_ps(&qmf_c[k]);
+ c1 = _mm_load_ps(&qmf_c[k + 64]);
+ c2 = _mm_load_ps(&qmf_c[k + 128]);
+ c3 = _mm_load_ps(&qmf_c[k + 192]);
+ c4 = _mm_load_ps(&qmf_c[k + 256]);
+
+ m0 = _mm_mul_ps(m0, c0);
+ m1 = _mm_mul_ps(m1, c1);
+ m2 = _mm_mul_ps(m2, c2);
+ m3 = _mm_mul_ps(m3, c3);
+ m4 = _mm_mul_ps(m4, c4);
+
+ s1 = _mm_add_ps(m0, m1);
+ s2 = _mm_add_ps(m2, m3);
+ s6 = _mm_add_ps(s1, s2);
+
+ m5 = _mm_load_ps(&v0[k + 320]);
+ m6 = _mm_load_ps(&v0[k + 384]);
+ m7 = _mm_load_ps(&v0[k + 448]);
+ m8 = _mm_load_ps(&v0[k + 512]);
+ m9 = _mm_load_ps(&v0[k + 576]);
+ c5 = _mm_load_ps(&qmf_c[k + 320]);
+ c6 = _mm_load_ps(&qmf_c[k + 384]);
+ c7 = _mm_load_ps(&qmf_c[k + 448]);
+ c8 = _mm_load_ps(&qmf_c[k + 512]);
+ c9 = _mm_load_ps(&qmf_c[k + 576]);
+
+ m5 = _mm_mul_ps(m5, c5);
+ m6 = _mm_mul_ps(m6, c6);
+ m7 = _mm_mul_ps(m7, c7);
+ m8 = _mm_mul_ps(m8, c8);
+ m9 = _mm_mul_ps(m9, c9);
+
+ s3 = _mm_add_ps(m4, m5);
+ s4 = _mm_add_ps(m6, m7);
+ s5 = _mm_add_ps(m8, m9);
+ s7 = _mm_add_ps(s3, s4);
+ s8 = _mm_add_ps(s5, s6);
+ s9 = _mm_add_ps(s7, s8);
+
+ _mm_store_ps(&output[out], s9);
+ out += 4;
}
}
}
#endif
+#endif
#endif
Index: sbr_qmf.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_qmf.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_qmf.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_qmf.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -38,13 +38,13 @@
void qmfs_end(qmfs_info *qmfs);
void sbr_qmf_analysis_32(sbr_info *sbr, qmfa_info *qmfa, const real_t *input,
- qmf_t *X, uint8_t offset, uint8_t kx);
-void sbr_qmf_analysis_64(qmfa_info *qmfa, const real_t *input,
- qmf_t *X, uint8_t maxband, uint8_t offset);
-void sbr_qmf_synthesis_32(qmfs_info *qmfs, const qmf_t *X,
- real_t *output);
-void sbr_qmf_synthesis_64(sbr_info *sbr, qmfs_info *qmfs, const qmf_t *X,
+ qmf_t X[MAX_NTSRHFG][32], uint8_t offset, uint8_t kx);
+void sbr_qmf_synthesis_64(sbr_info *sbr, qmfs_info *qmfs, qmf_t X[MAX_NTSRHFG][64],
real_t *output);
+#ifdef USE_SSE
+void sbr_qmf_synthesis_64_sse(sbr_info *sbr, qmfs_info *qmfs, qmf_t X[MAX_NTSRHFG][64],
+ real_t *output);
+#endif
#ifdef __cplusplus
Index: sbr_qmf_c.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_qmf_c.h,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- sbr_qmf_c.h 3 Oct 2003 22:23:26 -0000 1.1
+++ sbr_qmf_c.h 2 Jun 2004 22:59:03 -0000 1.2
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -38,327 +38,328 @@
#pragma warning(disable:4244)
#endif
-static real_t qmf_c[] = {
- COEF_CONST(0.0000000000), COEF_CONST(-0.0005525286),
- COEF_CONST(-0.0005617692), COEF_CONST(-0.0004947518),
- COEF_CONST(-0.0004875227), COEF_CONST(-0.0004893791),
- COEF_CONST(-0.0005040714), COEF_CONST(-0.0005226564),
- COEF_CONST(-0.0005466565), COEF_CONST(-0.0005677802),
- COEF_CONST(-0.0005870930), COEF_CONST(-0.0006132747),
- COEF_CONST(-0.0006312493), COEF_CONST(-0.0006540333),
- COEF_CONST(-0.0006777690), COEF_CONST(-0.0006941614),
- COEF_CONST(-0.0007157736), COEF_CONST(-0.0007255043),
- COEF_CONST(-0.0007440941), COEF_CONST(-0.0007490598),
- COEF_CONST(-0.0007681371), COEF_CONST(-0.0007724848),
- COEF_CONST(-0.0007834332), COEF_CONST(-0.0007779869),
- COEF_CONST(-0.0007803664), COEF_CONST(-0.0007801449),
- COEF_CONST(-0.0007757977), COEF_CONST(-0.0007630793),
- COEF_CONST(-0.0007530001), COEF_CONST(-0.0007319357),
- COEF_CONST(-0.0007215391), COEF_CONST(-0.0006917937),
- COEF_CONST(-0.0006650415), COEF_CONST(-0.0006341594),
- COEF_CONST(-0.0005946118), COEF_CONST(-0.0005564576),
- COEF_CONST(-0.0005145572), COEF_CONST(-0.0004606325),
- COEF_CONST(-0.0004095121), COEF_CONST(-0.0003501175),
- COEF_CONST(-0.0002896981), COEF_CONST(-0.0002098337),
- COEF_CONST(-0.0001446380), COEF_CONST(-0.0000617334),
- COEF_CONST(0.0000134949), COEF_CONST(0.0001094383),
- COEF_CONST(0.0002043017), COEF_CONST(0.0002949531),
- COEF_CONST(0.0004026540), COEF_CONST(0.0005107388),
- COEF_CONST(0.0006239376), COEF_CONST(0.0007458025),
- COEF_CONST(0.0008608443), COEF_CONST(0.0009885988),
- COEF_CONST(0.0011250156), COEF_CONST(0.0012577884),
- COEF_CONST(0.0013902494), COEF_CONST(0.0015443219),
- COEF_CONST(0.0016868083), COEF_CONST(0.0018348265),
- COEF_CONST(0.0019841141), COEF_CONST(0.0021461584),
- COEF_CONST(0.0023017253), COEF_CONST(0.0024625617),
- COEF_CONST(0.0026201757), COEF_CONST(0.0027870464),
- COEF_CONST(0.0029469447), COEF_CONST(0.0031125420),
- COEF_CONST(0.0032739614), COEF_CONST(0.0034418874),
- COEF_CONST(0.0036008267), COEF_CONST(0.0037603923),
- COEF_CONST(0.0039207432), COEF_CONST(0.0040819752),
- COEF_CONST(0.0042264271), COEF_CONST(0.0043730717),
- COEF_CONST(0.0045209853), COEF_CONST(0.0046606460),
- COEF_CONST(0.0047932561), COEF_CONST(0.0049137603),
- COEF_CONST(0.0050393022), COEF_CONST(0.0051407353),
- COEF_CONST(0.0052461168), COEF_CONST(0.0053471681),
- COEF_CONST(0.0054196776), COEF_CONST(0.0054876041),
- COEF_CONST(0.0055475715), COEF_CONST(0.0055938023),
- COEF_CONST(0.0056220642), COEF_CONST(0.0056455196),
- COEF_CONST(0.0056389198), COEF_CONST(0.0056266114),
- COEF_CONST(0.0055917129), COEF_CONST(0.0055404361),
- COEF_CONST(0.0054753781), COEF_CONST(0.0053838976),
- COEF_CONST(0.0052715759), COEF_CONST(0.0051382277),
- COEF_CONST(0.0049839686), COEF_CONST(0.0048109470),
- COEF_CONST(0.0046039531), COEF_CONST(0.0043801861),
- COEF_CONST(0.0041251644), COEF_CONST(0.0038456407),
- COEF_CONST(0.0035401245), COEF_CONST(0.0032091886),
- COEF_CONST(0.0028446757), COEF_CONST(0.0024508541),
- COEF_CONST(0.0020274175), COEF_CONST(0.0015784682),
- COEF_CONST(0.0010902329), COEF_CONST(0.0005832264),
- COEF_CONST(0.0000276045), COEF_CONST(-0.0005464280),
- COEF_CONST(-0.0011568135), COEF_CONST(-0.0018039471),
- COEF_CONST(-0.0024826722), COEF_CONST(-0.0031933777),
- COEF_CONST(-0.0039401124), COEF_CONST(-0.0047222595),
- COEF_CONST(-0.0055337213), COEF_CONST(-0.0063792295),
- COEF_CONST(-0.0072615817), COEF_CONST(-0.0081798229),
- COEF_CONST(-0.0091325333), COEF_CONST(-0.0101150218),
- COEF_CONST(-0.0111315548), COEF_CONST(-0.0121849999),
- COEF_CONST(0.0132718217), COEF_CONST(0.0143904667),
- COEF_CONST(0.0155405551), COEF_CONST(0.0167324711),
- COEF_CONST(0.0179433376), COEF_CONST(0.0191872437),
- COEF_CONST(0.0204531793), COEF_CONST(0.0217467546),
- COEF_CONST(0.0230680164), COEF_CONST(0.0244160984),
- COEF_CONST(0.0257875845), COEF_CONST(0.0271859430),
- COEF_CONST(0.0286072176), COEF_CONST(0.0300502665),
- COEF_CONST(0.0315017626), COEF_CONST(0.0329754092),
- COEF_CONST(0.0344620943), COEF_CONST(0.0359697565),
- COEF_CONST(0.0374812856), COEF_CONST(0.0390053689),
- COEF_CONST(0.0405349173), COEF_CONST(0.0420649089),
- COEF_CONST(0.0436097533), COEF_CONST(0.0451488420),
- COEF_CONST(0.0466843024), COEF_CONST(0.0482165702),
- COEF_CONST(0.0497385748), COEF_CONST(0.0512556173),
- COEF_CONST(0.0527630746), COEF_CONST(0.0542452782),
- COEF_CONST(0.0557173640), COEF_CONST(0.0571616441),
- COEF_CONST(0.0585915670), COEF_CONST(0.0599837489),
- COEF_CONST(0.0613455176), COEF_CONST(0.0626857802),
- COEF_CONST(0.0639715865), COEF_CONST(0.0652247071),
- COEF_CONST(0.0664367527), COEF_CONST(0.0676075965),
- COEF_CONST(0.0687043816), COEF_CONST(0.0697630271),
- COEF_CONST(0.0707628727), COEF_CONST(0.0717002675),
- COEF_CONST(0.0725682601), COEF_CONST(0.0733620226),
- COEF_CONST(0.0741003677), COEF_CONST(0.0747452527),
- COEF_CONST(0.0753137320), COEF_CONST(0.0758008361),
- COEF_CONST(0.0761992484), COEF_CONST(0.0764992163),
- COEF_CONST(0.0767093524), COEF_CONST(0.0768174008),
- COEF_CONST(0.0768230036), COEF_CONST(0.0767204911),
- COEF_CONST(0.0765050724), COEF_CONST(0.0761748329),
- COEF_CONST(0.0757305771), COEF_CONST(0.0751576275),
- COEF_CONST(0.0744664371), COEF_CONST(0.0736405998),
- COEF_CONST(0.0726774633), COEF_CONST(0.0715826377),
- COEF_CONST(0.0703533068), COEF_CONST(0.0689664036),
- COEF_CONST(0.0674525052), COEF_CONST(0.0657690689),
- COEF_CONST(0.0639444813), COEF_CONST(0.0619602762),
- COEF_CONST(0.0598166585), COEF_CONST(0.0575152673),
- COEF_CONST(0.0550460033), COEF_CONST(0.0524093807),
- COEF_CONST(0.0495978668), COEF_CONST(0.0466303304),
- COEF_CONST(0.0434768796), COEF_CONST(0.0401458293),
- COEF_CONST(0.0366418101), COEF_CONST(0.0329583921),
- COEF_CONST(0.0290824007), COEF_CONST(0.0250307564),
- COEF_CONST(0.0207997076), COEF_CONST(0.0163701251),
- COEF_CONST(0.0117623834), COEF_CONST(0.0069636861),
- COEF_CONST(0.0019765601), COEF_CONST(-0.0032086896),
- COEF_CONST(-0.0085711749), COEF_CONST(-0.0141288824),
- COEF_CONST(-0.0198834129), COEF_CONST(-0.0258227289),
- COEF_CONST(-0.0319531262), COEF_CONST(-0.0382776558),
- COEF_CONST(-0.0447806828), COEF_CONST(-0.0514804162),
- COEF_CONST(-0.0583705343), COEF_CONST(-0.0654409826),
- COEF_CONST(-0.0726943314), COEF_CONST(-0.0801372901),
- COEF_CONST(-0.0877547562), COEF_CONST(-0.0955533385),
- COEF_CONST(-0.1035329551), COEF_CONST(-0.1116826907),
- COEF_CONST(-0.1200077981), COEF_CONST(-0.1285002828),
- COEF_CONST(-0.1371551752), COEF_CONST(-0.1459766477),
- COEF_CONST(-0.1549607068), COEF_CONST(-0.1640958786),
- COEF_CONST(-0.1733808219), COEF_CONST(-0.1828172505),
- COEF_CONST(-0.1923966706), COEF_CONST(-0.2021250129),
- COEF_CONST(-0.2119735926), COEF_CONST(-0.2219652683),
- COEF_CONST(-0.2320690900), COEF_CONST(-0.2423016876),
- COEF_CONST(-0.2526480258), COEF_CONST(-0.2631053329),
- COEF_CONST(-0.2736634016), COEF_CONST(-0.2843214273),
- COEF_CONST(-0.2950716615), COEF_CONST(-0.3059098721),
- COEF_CONST(-0.3168278933), COEF_CONST(-0.3278113604),
- COEF_CONST(-0.3388722837), COEF_CONST(-0.3499914110),
- COEF_CONST(0.3611589968), COEF_CONST(0.3723795414),
- COEF_CONST(0.3836350143), COEF_CONST(0.3949211836),
- COEF_CONST(0.4062317610), COEF_CONST(0.4175696969),
- COEF_CONST(0.4289119840), COEF_CONST(0.4402553737),
- COEF_CONST(0.4515996575), COEF_CONST(0.4629307985),
- COEF_CONST(0.4742453098), COEF_CONST(0.4855253100),
- COEF_CONST(0.4967708290), COEF_CONST(0.5079817772),
- COEF_CONST(0.5191234946), COEF_CONST(0.5302240849),
- COEF_CONST(0.5412553549), COEF_CONST(0.5522051454),
- COEF_CONST(0.5630789399), COEF_CONST(0.5738524199),
- COEF_CONST(0.5845403075), COEF_CONST(0.5951123238),
- COEF_CONST(0.6055783629), COEF_CONST(0.6159110069),
- COEF_CONST(0.6261242628), COEF_CONST(0.6361979842),
- COEF_CONST(0.6461269855), COEF_CONST(0.6559016109),
- COEF_CONST(0.6655139923), COEF_CONST(0.6749663353),
- COEF_CONST(0.6842353344), COEF_CONST(0.6933282614),
- COEF_CONST(0.7022388577), COEF_CONST(0.7109410167),
- COEF_CONST(0.7194462419), COEF_CONST(0.7277448773),
- COEF_CONST(0.7358211875), COEF_CONST(0.7436828017),
- COEF_CONST(0.7513137460), COEF_CONST(0.7587080598),
- COEF_CONST(0.7658674717), COEF_CONST(0.7727780938),
- COEF_CONST(0.7794287801), COEF_CONST(0.7858353257),
- COEF_CONST(0.7919735909), COEF_CONST(0.7978466153),
- COEF_CONST(0.8034485579), COEF_CONST(0.8087695241),
- COEF_CONST(0.8138191104), COEF_CONST(0.8185775876),
- COEF_CONST(0.8230419755), COEF_CONST(0.8272275329),
- COEF_CONST(0.8311038613), COEF_CONST(0.8346937299),
- COEF_CONST(0.8379717469), COEF_CONST(0.8409541249),
- COEF_CONST(0.8436238170), COEF_CONST(0.8459818363),
- COEF_CONST(0.8480315804), COEF_CONST(0.8497804999),
- COEF_CONST(0.8511971235), COEF_CONST(0.8523046970),
- COEF_CONST(0.8531020880), COEF_CONST(0.8535720706),
- COEF_CONST(0.8537385464), COEF_CONST(0.8535720706),
- COEF_CONST(0.8531020880), COEF_CONST(0.8523046970),
- COEF_CONST(0.8511971235), COEF_CONST(0.8497804999),
- COEF_CONST(0.8480315804), COEF_CONST(0.8459818363),
- COEF_CONST(0.8436238170), COEF_CONST(0.8409541249),
- COEF_CONST(0.8379717469), COEF_CONST(0.8346937299),
- COEF_CONST(0.8311038613), COEF_CONST(0.8272275329),
- COEF_CONST(0.8230419755), COEF_CONST(0.8185775876),
- COEF_CONST(0.8138191104), COEF_CONST(0.8087695241),
- COEF_CONST(0.8034485579), COEF_CONST(0.7978466153),
- COEF_CONST(0.7919735909), COEF_CONST(0.7858353257),
- COEF_CONST(0.7794287801), COEF_CONST(0.7727780938),
- COEF_CONST(0.7658674717), COEF_CONST(0.7587080598),
- COEF_CONST(0.7513137460), COEF_CONST(0.7436828017),
- COEF_CONST(0.7358211875), COEF_CONST(0.7277448773),
- COEF_CONST(0.7194462419), COEF_CONST(0.7109410167),
- COEF_CONST(0.7022388577), COEF_CONST(0.6933282614),
- COEF_CONST(0.6842353344), COEF_CONST(0.6749663353),
- COEF_CONST(0.6655139923), COEF_CONST(0.6559016109),
- COEF_CONST(0.6461269855), COEF_CONST(0.6361979842),
- COEF_CONST(0.6261242628), COEF_CONST(0.6159110069),
- COEF_CONST(0.6055783629), COEF_CONST(0.5951123238),
- COEF_CONST(0.5845403075), COEF_CONST(0.5738524199),
- COEF_CONST(0.5630789399), COEF_CONST(0.5522051454),
- COEF_CONST(0.5412553549), COEF_CONST(0.5302240849),
- COEF_CONST(0.5191234946), COEF_CONST(0.5079817772),
- COEF_CONST(0.4967708290), COEF_CONST(0.4855253100),
- COEF_CONST(0.4742453098), COEF_CONST(0.4629307985),
- COEF_CONST(0.4515996575), COEF_CONST(0.4402553737),
- COEF_CONST(0.4289119840), COEF_CONST(0.4175696969),
- COEF_CONST(0.4062317610), COEF_CONST(0.3949211836),
- COEF_CONST(0.3836350143), COEF_CONST(0.3723795414),
- COEF_CONST(-0.3611589968), COEF_CONST(-0.3499914110),
- COEF_CONST(-0.3388722837), COEF_CONST(-0.3278113604),
- COEF_CONST(-0.3168278933), COEF_CONST(-0.3059098721),
- COEF_CONST(-0.2950716615), COEF_CONST(-0.2843214273),
- COEF_CONST(-0.2736634016), COEF_CONST(-0.2631053329),
- COEF_CONST(-0.2526480258), COEF_CONST(-0.2423016876),
- COEF_CONST(-0.2320690900), COEF_CONST(-0.2219652683),
- COEF_CONST(-0.2119735926), COEF_CONST(-0.2021250129),
- COEF_CONST(-0.1923966706), COEF_CONST(-0.1828172505),
- COEF_CONST(-0.1733808219), COEF_CONST(-0.1640958786),
- COEF_CONST(-0.1549607068), COEF_CONST(-0.1459766477),
- COEF_CONST(-0.1371551752), COEF_CONST(-0.1285002828),
- COEF_CONST(-0.1200077981), COEF_CONST(-0.1116826907),
- COEF_CONST(-0.1035329551), COEF_CONST(-0.0955533385),
- COEF_CONST(-0.0877547562), COEF_CONST(-0.0801372901),
- COEF_CONST(-0.0726943314), COEF_CONST(-0.0654409826),
- COEF_CONST(-0.0583705343), COEF_CONST(-0.0514804162),
- COEF_CONST(-0.0447806828), COEF_CONST(-0.0382776558),
- COEF_CONST(-0.0319531262), COEF_CONST(-0.0258227289),
- COEF_CONST(-0.0198834129), COEF_CONST(-0.0141288824),
- COEF_CONST(-0.0085711749), COEF_CONST(-0.0032086896),
- COEF_CONST(0.0019765601), COEF_CONST(0.0069636861),
- COEF_CONST(0.0117623834), COEF_CONST(0.0163701251),
- COEF_CONST(0.0207997076), COEF_CONST(0.0250307564),
- COEF_CONST(0.0290824007), COEF_CONST(0.0329583921),
- COEF_CONST(0.0366418101), COEF_CONST(0.0401458293),
- COEF_CONST(0.0434768796), COEF_CONST(0.0466303304),
- COEF_CONST(0.0495978668), COEF_CONST(0.0524093807),
- COEF_CONST(0.0550460033), COEF_CONST(0.0575152673),
- COEF_CONST(0.0598166585), COEF_CONST(0.0619602762),
- COEF_CONST(0.0639444813), COEF_CONST(0.0657690689),
- COEF_CONST(0.0674525052), COEF_CONST(0.0689664036),
- COEF_CONST(0.0703533068), COEF_CONST(0.0715826377),
- COEF_CONST(0.0726774633), COEF_CONST(0.0736405998),
- COEF_CONST(0.0744664371), COEF_CONST(0.0751576275),
- COEF_CONST(0.0757305771), COEF_CONST(0.0761748329),
- COEF_CONST(0.0765050724), COEF_CONST(0.0767204911),
- COEF_CONST(0.0768230036), COEF_CONST(0.0768174008),
- COEF_CONST(0.0767093524), COEF_CONST(0.0764992163),
- COEF_CONST(0.0761992484), COEF_CONST(0.0758008361),
- COEF_CONST(0.0753137320), COEF_CONST(0.0747452527),
- COEF_CONST(0.0741003677), COEF_CONST(0.0733620226),
- COEF_CONST(0.0725682601), COEF_CONST(0.0717002675),
- COEF_CONST(0.0707628727), COEF_CONST(0.0697630271),
- COEF_CONST(0.0687043816), COEF_CONST(0.0676075965),
- COEF_CONST(0.0664367527), COEF_CONST(0.0652247071),
- COEF_CONST(0.0639715865), COEF_CONST(0.0626857802),
- COEF_CONST(0.0613455176), COEF_CONST(0.0599837489),
- COEF_CONST(0.0585915670), COEF_CONST(0.0571616441),
- COEF_CONST(0.0557173640), COEF_CONST(0.0542452782),
- COEF_CONST(0.0527630746), COEF_CONST(0.0512556173),
- COEF_CONST(0.0497385748), COEF_CONST(0.0482165702),
- COEF_CONST(0.0466843024), COEF_CONST(0.0451488420),
- COEF_CONST(0.0436097533), COEF_CONST(0.0420649089),
- COEF_CONST(0.0405349173), COEF_CONST(0.0390053689),
- COEF_CONST(0.0374812856), COEF_CONST(0.0359697565),
- COEF_CONST(0.0344620943), COEF_CONST(0.0329754092),
- COEF_CONST(0.0315017626), COEF_CONST(0.0300502665),
- COEF_CONST(0.0286072176), COEF_CONST(0.0271859430),
- COEF_CONST(0.0257875845), COEF_CONST(0.0244160984),
- COEF_CONST(0.0230680164), COEF_CONST(0.0217467546),
- COEF_CONST(0.0204531793), COEF_CONST(0.0191872437),
- COEF_CONST(0.0179433376), COEF_CONST(0.0167324711),
- COEF_CONST(0.0155405551), COEF_CONST(0.0143904667),
- COEF_CONST(-0.0132718217), COEF_CONST(-0.0121849999),
- COEF_CONST(-0.0111315548), COEF_CONST(-0.0101150218),
- COEF_CONST(-0.0091325333), COEF_CONST(-0.0081798229),
- COEF_CONST(-0.0072615817), COEF_CONST(-0.0063792295),
- COEF_CONST(-0.0055337213), COEF_CONST(-0.0047222595),
- COEF_CONST(-0.0039401124), COEF_CONST(-0.0031933777),
- COEF_CONST(-0.0024826722), COEF_CONST(-0.0018039471),
- COEF_CONST(-0.0011568135), COEF_CONST(-0.0005464280),
- COEF_CONST(0.0000276045), COEF_CONST(0.0005832264),
- COEF_CONST(0.0010902329), COEF_CONST(0.0015784682),
- COEF_CONST(0.0020274175), COEF_CONST(0.0024508541),
- COEF_CONST(0.0028446757), COEF_CONST(0.0032091886),
- COEF_CONST(0.0035401245), COEF_CONST(0.0038456407),
- COEF_CONST(0.0041251644), COEF_CONST(0.0043801861),
- COEF_CONST(0.0046039531), COEF_CONST(0.0048109470),
- COEF_CONST(0.0049839686), COEF_CONST(0.0051382277),
- COEF_CONST(0.0052715759), COEF_CONST(0.0053838976),
- COEF_CONST(0.0054753781), COEF_CONST(0.0055404361),
- COEF_CONST(0.0055917129), COEF_CONST(0.0056266114),
- COEF_CONST(0.0056389198), COEF_CONST(0.0056455196),
- COEF_CONST(0.0056220642), COEF_CONST(0.0055938023),
- COEF_CONST(0.0055475715), COEF_CONST(0.0054876041),
- COEF_CONST(0.0054196776), COEF_CONST(0.0053471681),
- COEF_CONST(0.0052461168), COEF_CONST(0.0051407353),
- COEF_CONST(0.0050393022), COEF_CONST(0.0049137603),
- COEF_CONST(0.0047932561), COEF_CONST(0.0046606460),
- COEF_CONST(0.0045209853), COEF_CONST(0.0043730717),
- COEF_CONST(0.0042264271), COEF_CONST(0.0040819752),
- COEF_CONST(0.0039207432), COEF_CONST(0.0037603923),
- COEF_CONST(0.0036008267), COEF_CONST(0.0034418874),
- COEF_CONST(0.0032739614), COEF_CONST(0.0031125420),
- COEF_CONST(0.0029469447), COEF_CONST(0.0027870464),
- COEF_CONST(0.0026201757), COEF_CONST(0.0024625617),
- COEF_CONST(0.0023017253), COEF_CONST(0.0021461584),
- COEF_CONST(0.0019841141), COEF_CONST(0.0018348265),
- COEF_CONST(0.0016868083), COEF_CONST(0.0015443219),
- COEF_CONST(0.0013902494), COEF_CONST(0.0012577884),
- COEF_CONST(0.0011250156), COEF_CONST(0.0009885988),
- COEF_CONST(0.0008608443), COEF_CONST(0.0007458025),
- COEF_CONST(0.0006239376), COEF_CONST(0.0005107388),
- COEF_CONST(0.0004026540), COEF_CONST(0.0002949531),
- COEF_CONST(0.0002043017), COEF_CONST(0.0001094383),
- COEF_CONST(0.0000134949), COEF_CONST(-0.0000617334),
- COEF_CONST(-0.0001446380), COEF_CONST(-0.0002098337),
- COEF_CONST(-0.0002896981), COEF_CONST(-0.0003501175),
- COEF_CONST(-0.0004095121), COEF_CONST(-0.0004606325),
- COEF_CONST(-0.0005145572), COEF_CONST(-0.0005564576),
- COEF_CONST(-0.0005946118), COEF_CONST(-0.0006341594),
- COEF_CONST(-0.0006650415), COEF_CONST(-0.0006917937),
- COEF_CONST(-0.0007215391), COEF_CONST(-0.0007319357),
- COEF_CONST(-0.0007530001), COEF_CONST(-0.0007630793),
- COEF_CONST(-0.0007757977), COEF_CONST(-0.0007801449),
- COEF_CONST(-0.0007803664), COEF_CONST(-0.0007779869),
- COEF_CONST(-0.0007834332), COEF_CONST(-0.0007724848),
- COEF_CONST(-0.0007681371), COEF_CONST(-0.0007490598),
- COEF_CONST(-0.0007440941), COEF_CONST(-0.0007255043),
- COEF_CONST(-0.0007157736), COEF_CONST(-0.0006941614),
- COEF_CONST(-0.0006777690), COEF_CONST(-0.0006540333),
- COEF_CONST(-0.0006312493), COEF_CONST(-0.0006132747),
- COEF_CONST(-0.0005870930), COEF_CONST(-0.0005677802),
- COEF_CONST(-0.0005466565), COEF_CONST(-0.0005226564),
- COEF_CONST(-0.0005040714), COEF_CONST(-0.0004893791),
- COEF_CONST(-0.0004875227), COEF_CONST(-0.0004947518),
- COEF_CONST(-0.0005617692), COEF_CONST(-0.0005525280)
+ALIGN static const real_t qmf_c[640] = {
+ FRAC_CONST(0), FRAC_CONST(-0.00055252865047),
+ FRAC_CONST(-0.00056176925738), FRAC_CONST(-0.00049475180896),
+ FRAC_CONST(-0.00048752279712), FRAC_CONST(-0.00048937912498),
+ FRAC_CONST(-0.00050407143497), FRAC_CONST(-0.00052265642972),
+ FRAC_CONST(-0.00054665656337), FRAC_CONST(-0.00056778025613),
+ FRAC_CONST(-0.00058709304852), FRAC_CONST(-0.00061327473938),
+ FRAC_CONST(-0.00063124935319), FRAC_CONST(-0.00065403333621),
+ FRAC_CONST(-0.00067776907764), FRAC_CONST(-0.00069416146273),
+ FRAC_CONST(-0.00071577364744), FRAC_CONST(-0.00072550431222),
+ FRAC_CONST(-0.00074409418541), FRAC_CONST(-0.00074905980532),
+ FRAC_CONST(-0.0007681371927), FRAC_CONST(-0.00077248485949),
+ FRAC_CONST(-0.00078343322877), FRAC_CONST(-0.00077798694927),
+ FRAC_CONST(-0.000780366471), FRAC_CONST(-0.00078014496257),
+ FRAC_CONST(-0.0007757977331), FRAC_CONST(-0.00076307935757),
+ FRAC_CONST(-0.00075300014201), FRAC_CONST(-0.00073193571525),
+ FRAC_CONST(-0.00072153919876), FRAC_CONST(-0.00069179375372),
+ FRAC_CONST(-0.00066504150893), FRAC_CONST(-0.00063415949025),
+ FRAC_CONST(-0.0005946118933), FRAC_CONST(-0.00055645763906),
+ FRAC_CONST(-0.00051455722108), FRAC_CONST(-0.00046063254803),
+ FRAC_CONST(-0.00040951214522), FRAC_CONST(-0.00035011758756),
+ FRAC_CONST(-0.00028969811748), FRAC_CONST(-0.0002098337344),
+ FRAC_CONST(-0.00014463809349), FRAC_CONST(-6.173344072E-005),
+ FRAC_CONST(1.349497418E-005), FRAC_CONST(0.00010943831274),
+ FRAC_CONST(0.00020430170688), FRAC_CONST(0.00029495311041),
+ FRAC_CONST(0.0004026540216), FRAC_CONST(0.00051073884952),
+ FRAC_CONST(0.00062393761391), FRAC_CONST(0.00074580258865),
+ FRAC_CONST(0.00086084433262), FRAC_CONST(0.00098859883015),
+ FRAC_CONST(0.00112501551307), FRAC_CONST(0.00125778846475),
+ FRAC_CONST(0.00139024948272), FRAC_CONST(0.00154432198471),
+ FRAC_CONST(0.00168680832531), FRAC_CONST(0.00183482654224),
+ FRAC_CONST(0.00198411407369), FRAC_CONST(0.00214615835557),
+ FRAC_CONST(0.00230172547746), FRAC_CONST(0.00246256169126),
+ FRAC_CONST(0.00262017586902), FRAC_CONST(0.00278704643465),
+ FRAC_CONST(0.00294694477165), FRAC_CONST(0.00311254206525),
+ FRAC_CONST(0.00327396134847), FRAC_CONST(0.00344188741828),
+ FRAC_CONST(0.00360082681231), FRAC_CONST(0.00376039229104),
+ FRAC_CONST(0.00392074323703), FRAC_CONST(0.00408197531935),
+ FRAC_CONST(0.0042264269227), FRAC_CONST(0.00437307196781),
+ FRAC_CONST(0.00452098527825), FRAC_CONST(0.00466064606118),
+ FRAC_CONST(0.00479325608498), FRAC_CONST(0.00491376035745),
+ FRAC_CONST(0.00503930226013), FRAC_CONST(0.00514073539032),
+ FRAC_CONST(0.00524611661324), FRAC_CONST(0.00534716811982),
+ FRAC_CONST(0.00541967759307), FRAC_CONST(0.00548760401507),
+ FRAC_CONST(0.00554757145088), FRAC_CONST(0.00559380230045),
+ FRAC_CONST(0.00562206432097), FRAC_CONST(0.00564551969164),
+ FRAC_CONST(0.00563891995151), FRAC_CONST(0.00562661141932),
+ FRAC_CONST(0.0055917128663), FRAC_CONST(0.005540436394),
+ FRAC_CONST(0.0054753783077), FRAC_CONST(0.0053838975897),
+ FRAC_CONST(0.00527157587272), FRAC_CONST(0.00513822754514),
+ FRAC_CONST(0.00498396877629), FRAC_CONST(0.004810946906),
+ FRAC_CONST(0.00460395301471), FRAC_CONST(0.00438018617447),
+ FRAC_CONST(0.0041251642327), FRAC_CONST(0.00384564081246),
+ FRAC_CONST(0.00354012465507), FRAC_CONST(0.00320918858098),
+ FRAC_CONST(0.00284467578623), FRAC_CONST(0.00245085400321),
+ FRAC_CONST(0.0020274176185), FRAC_CONST(0.00157846825768),
+ FRAC_CONST(0.00109023290512), FRAC_CONST(0.0005832264248),
+ FRAC_CONST(2.760451905E-005), FRAC_CONST(-0.00054642808664),
+ FRAC_CONST(-0.00115681355227), FRAC_CONST(-0.00180394725893),
+ FRAC_CONST(-0.00248267236449), FRAC_CONST(-0.003193377839),
+ FRAC_CONST(-0.00394011240522), FRAC_CONST(-0.004722259624),
+ FRAC_CONST(-0.00553372111088), FRAC_CONST(-0.00637922932685),
+ FRAC_CONST(-0.00726158168517), FRAC_CONST(-0.00817982333726),
+ FRAC_CONST(-0.00913253296085), FRAC_CONST(-0.01011502154986),
+ FRAC_CONST(-0.01113155480321), FRAC_CONST(-0.01218499959508),
+ FRAC_CONST(0.01327182200351), FRAC_CONST(0.01439046660792),
+ FRAC_CONST(0.01554055533423), FRAC_CONST(0.01673247129989),
+ FRAC_CONST(0.01794333813443), FRAC_CONST(0.01918724313698),
+ FRAC_CONST(0.02045317933555), FRAC_CONST(0.02174675502535),
+ FRAC_CONST(0.02306801692862), FRAC_CONST(0.02441609920285),
+ FRAC_CONST(0.02578758475467), FRAC_CONST(0.02718594296329),
+ FRAC_CONST(0.02860721736385), FRAC_CONST(0.03005026574279),
+ FRAC_CONST(0.03150176087389), FRAC_CONST(0.03297540810337),
+ FRAC_CONST(0.03446209487686), FRAC_CONST(0.03596975605542),
+ FRAC_CONST(0.03748128504252), FRAC_CONST(0.03900536794745),
+ FRAC_CONST(0.04053491705584), FRAC_CONST(0.04206490946367),
+ FRAC_CONST(0.04360975421304), FRAC_CONST(0.04514884056413),
+ FRAC_CONST(0.04668430272642), FRAC_CONST(0.04821657200672),
+ FRAC_CONST(0.04973857556014), FRAC_CONST(0.05125561555216),
+ FRAC_CONST(0.05276307465207), FRAC_CONST(0.05424527683589),
+ FRAC_CONST(0.05571736482138), FRAC_CONST(0.05716164501299),
+ FRAC_CONST(0.0585915683626), FRAC_CONST(0.05998374801761),
+ FRAC_CONST(0.06134551717207), FRAC_CONST(0.06268578081172),
+ FRAC_CONST(0.06397158980681), FRAC_CONST(0.0652247106438),
+ FRAC_CONST(0.06643675122104), FRAC_CONST(0.06760759851228),
+ FRAC_CONST(0.06870438283512), FRAC_CONST(0.06976302447127),
+ FRAC_CONST(0.07076287107266), FRAC_CONST(0.07170026731102),
+ FRAC_CONST(0.07256825833083), FRAC_CONST(0.07336202550803),
+ FRAC_CONST(0.07410036424342), FRAC_CONST(0.07474525581194),
+ FRAC_CONST(0.07531373362019), FRAC_CONST(0.07580083586584),
+ FRAC_CONST(0.07619924793396), FRAC_CONST(0.07649921704119),
+ FRAC_CONST(0.07670934904245), FRAC_CONST(0.07681739756964),
+ FRAC_CONST(0.07682300113923), FRAC_CONST(0.07672049241746),
+ FRAC_CONST(0.07650507183194), FRAC_CONST(0.07617483218536),
+ FRAC_CONST(0.07573057565061), FRAC_CONST(0.0751576255287),
+ FRAC_CONST(0.07446643947564), FRAC_CONST(0.0736406005762),
+ FRAC_CONST(0.07267746427299), FRAC_CONST(0.07158263647903),
+ FRAC_CONST(0.07035330735093), FRAC_CONST(0.06896640131951),
+ FRAC_CONST(0.06745250215166), FRAC_CONST(0.06576906686508),
+ FRAC_CONST(0.06394448059633), FRAC_CONST(0.06196027790387),
+ FRAC_CONST(0.0598166570809), FRAC_CONST(0.05751526919867),
+ FRAC_CONST(0.05504600343009), FRAC_CONST(0.05240938217366),
+ FRAC_CONST(0.04959786763445), FRAC_CONST(0.04663033051701),
+ FRAC_CONST(0.04347687821958), FRAC_CONST(0.04014582784127),
+ FRAC_CONST(0.03664181168133), FRAC_CONST(0.03295839306691),
+ FRAC_CONST(0.02908240060125), FRAC_CONST(0.02503075618909),
+ FRAC_CONST(0.02079970728622), FRAC_CONST(0.01637012582228),
+ FRAC_CONST(0.01176238327857), FRAC_CONST(0.00696368621617),
+ FRAC_CONST(0.00197656014503), FRAC_CONST(-0.00320868968304),
+ FRAC_CONST(-0.00857117491366), FRAC_CONST(-0.01412888273558),
+ FRAC_CONST(-0.01988341292573), FRAC_CONST(-0.02582272888064),
+ FRAC_CONST(-0.03195312745332), FRAC_CONST(-0.03827765720822),
+ FRAC_CONST(-0.04478068215856), FRAC_CONST(-0.05148041767934),
+ FRAC_CONST(-0.05837053268336), FRAC_CONST(-0.06544098531359),
+ FRAC_CONST(-0.07269433008129), FRAC_CONST(-0.08013729344279),
+ FRAC_CONST(-0.08775475365593), FRAC_CONST(-0.09555333528914),
+ FRAC_CONST(-0.10353295311463), FRAC_CONST(-0.1116826931773),
+ FRAC_CONST(-0.120007798468), FRAC_CONST(-0.12850028503878),
+ FRAC_CONST(-0.13715517611934), FRAC_CONST(-0.1459766491187),
+ FRAC_CONST(-0.15496070710605), FRAC_CONST(-0.16409588556669),
+ FRAC_CONST(-0.17338081721706), FRAC_CONST(-0.18281725485142),
+ FRAC_CONST(-0.19239667457267), FRAC_CONST(-0.20212501768103),
+ FRAC_CONST(-0.21197358538056), FRAC_CONST(-0.22196526964149),
+ FRAC_CONST(-0.23206908706791), FRAC_CONST(-0.24230168845974),
+ FRAC_CONST(-0.25264803095722), FRAC_CONST(-0.26310532994603),
+ FRAC_CONST(-0.27366340405625), FRAC_CONST(-0.28432141891085),
+ FRAC_CONST(-0.29507167170646), FRAC_CONST(-0.30590985751916),
+ FRAC_CONST(-0.31682789136456), FRAC_CONST(-0.32781137272105),
+ FRAC_CONST(-0.33887226938665), FRAC_CONST(-0.3499914122931),
+ FRAC_CONST(0.36115899031355), FRAC_CONST(0.37237955463061),
+ FRAC_CONST(0.38363500139043), FRAC_CONST(0.39492117615675),
+ FRAC_CONST(0.40623176767625), FRAC_CONST(0.41756968968409),
+ FRAC_CONST(0.42891199207373), FRAC_CONST(0.44025537543665),
+ FRAC_CONST(0.45159965356824), FRAC_CONST(0.46293080852757),
+ FRAC_CONST(0.47424532146115), FRAC_CONST(0.48552530911099),
+ FRAC_CONST(0.49677082545707), FRAC_CONST(0.50798175000434),
+ FRAC_CONST(0.51912349702391), FRAC_CONST(0.53022408956855),
+ FRAC_CONST(0.54125534487322), FRAC_CONST(0.55220512585061),
+ FRAC_CONST(0.5630789140137), FRAC_CONST(0.57385241316923),
+ FRAC_CONST(0.58454032354679), FRAC_CONST(0.59511230862496),
+ FRAC_CONST(0.6055783538918), FRAC_CONST(0.61591099320291),
+ FRAC_CONST(0.62612426956055), FRAC_CONST(0.63619801077286),
+ FRAC_CONST(0.64612696959461), FRAC_CONST(0.65590163024671),
+ FRAC_CONST(0.66551398801627), FRAC_CONST(0.67496631901712),
+ FRAC_CONST(0.68423532934598), FRAC_CONST(0.69332823767032),
+ FRAC_CONST(0.70223887193539), FRAC_CONST(0.71094104263095),
+ FRAC_CONST(0.71944626349561), FRAC_CONST(0.72774489002994),
+ FRAC_CONST(0.73582117582769), FRAC_CONST(0.74368278636488),
+ FRAC_CONST(0.75131374561237), FRAC_CONST(0.75870807608242),
+ FRAC_CONST(0.76586748650939), FRAC_CONST(0.77277808813327),
+ FRAC_CONST(0.77942875190216), FRAC_CONST(0.7858353120392),
+ FRAC_CONST(0.79197358416424), FRAC_CONST(0.797846641377),
+ FRAC_CONST(0.80344857518505), FRAC_CONST(0.80876950044491),
+ FRAC_CONST(0.81381912706217), FRAC_CONST(0.81857760046468),
+ FRAC_CONST(0.82304198905409), FRAC_CONST(0.8272275347336),
+ FRAC_CONST(0.8311038457152), FRAC_CONST(0.83469373618402),
+ FRAC_CONST(0.83797173378865), FRAC_CONST(0.84095413924722),
+ FRAC_CONST(0.84362382812005), FRAC_CONST(0.84598184698206),
+ FRAC_CONST(0.84803157770763), FRAC_CONST(0.84978051984268),
+ FRAC_CONST(0.85119715249343), FRAC_CONST(0.85230470352147),
+ FRAC_CONST(0.85310209497017), FRAC_CONST(0.85357205739107),
+ FRAC_CONST(0.85373856005937), FRAC_CONST(0.85357205739107),
+ FRAC_CONST(0.85310209497017), FRAC_CONST(0.85230470352147),
+ FRAC_CONST(0.85119715249343), FRAC_CONST(0.84978051984268),
+ FRAC_CONST(0.84803157770763), FRAC_CONST(0.84598184698206),
+ FRAC_CONST(0.84362382812005), FRAC_CONST(0.84095413924722),
+ FRAC_CONST(0.83797173378865), FRAC_CONST(0.83469373618402),
+ FRAC_CONST(0.8311038457152), FRAC_CONST(0.8272275347336),
+ FRAC_CONST(0.82304198905409), FRAC_CONST(0.81857760046468),
+ FRAC_CONST(0.81381912706217), FRAC_CONST(0.80876950044491),
+ FRAC_CONST(0.80344857518505), FRAC_CONST(0.797846641377),
+ FRAC_CONST(0.79197358416424), FRAC_CONST(0.7858353120392),
+ FRAC_CONST(0.77942875190216), FRAC_CONST(0.77277808813327),
+ FRAC_CONST(0.76586748650939), FRAC_CONST(0.75870807608242),
+ FRAC_CONST(0.75131374561237), FRAC_CONST(0.74368278636488),
+ FRAC_CONST(0.73582117582769), FRAC_CONST(0.72774489002994),
+ FRAC_CONST(0.71944626349561), FRAC_CONST(0.71094104263095),
+ FRAC_CONST(0.70223887193539), FRAC_CONST(0.69332823767032),
+ FRAC_CONST(0.68423532934598), FRAC_CONST(0.67496631901712),
+ FRAC_CONST(0.66551398801627), FRAC_CONST(0.65590163024671),
+ FRAC_CONST(0.64612696959461), FRAC_CONST(0.63619801077286),
+ FRAC_CONST(0.62612426956055), FRAC_CONST(0.61591099320291),
+ FRAC_CONST(0.6055783538918), FRAC_CONST(0.59511230862496),
+ FRAC_CONST(0.58454032354679), FRAC_CONST(0.57385241316923),
+ FRAC_CONST(0.5630789140137), FRAC_CONST(0.55220512585061),
+ FRAC_CONST(0.54125534487322), FRAC_CONST(0.53022408956855),
+ FRAC_CONST(0.51912349702391), FRAC_CONST(0.50798175000434),
+ FRAC_CONST(0.49677082545707), FRAC_CONST(0.48552530911099),
+ FRAC_CONST(0.47424532146115), FRAC_CONST(0.46293080852757),
+ FRAC_CONST(0.45159965356824), FRAC_CONST(0.44025537543665),
+ FRAC_CONST(0.42891199207373), FRAC_CONST(0.41756968968409),
+ FRAC_CONST(0.40623176767625), FRAC_CONST(0.39492117615675),
+ FRAC_CONST(0.38363500139043), FRAC_CONST(0.37237955463061),
+ FRAC_CONST(-0.36115899031355), FRAC_CONST(-0.3499914122931),
+ FRAC_CONST(-0.33887226938665), FRAC_CONST(-0.32781137272105),
+ FRAC_CONST(-0.31682789136456), FRAC_CONST(-0.30590985751916),
+ FRAC_CONST(-0.29507167170646), FRAC_CONST(-0.28432141891085),
+ FRAC_CONST(-0.27366340405625), FRAC_CONST(-0.26310532994603),
+ FRAC_CONST(-0.25264803095722), FRAC_CONST(-0.24230168845974),
+ FRAC_CONST(-0.23206908706791), FRAC_CONST(-0.22196526964149),
+ FRAC_CONST(-0.21197358538056), FRAC_CONST(-0.20212501768103),
+ FRAC_CONST(-0.19239667457267), FRAC_CONST(-0.18281725485142),
+ FRAC_CONST(-0.17338081721706), FRAC_CONST(-0.16409588556669),
+ FRAC_CONST(-0.15496070710605), FRAC_CONST(-0.1459766491187),
+ FRAC_CONST(-0.13715517611934), FRAC_CONST(-0.12850028503878),
+ FRAC_CONST(-0.120007798468), FRAC_CONST(-0.1116826931773),
+ FRAC_CONST(-0.10353295311463), FRAC_CONST(-0.09555333528914),
+ FRAC_CONST(-0.08775475365593), FRAC_CONST(-0.08013729344279),
+ FRAC_CONST(-0.07269433008129), FRAC_CONST(-0.06544098531359),
+ FRAC_CONST(-0.05837053268336), FRAC_CONST(-0.05148041767934),
+ FRAC_CONST(-0.04478068215856), FRAC_CONST(-0.03827765720822),
+ FRAC_CONST(-0.03195312745332), FRAC_CONST(-0.02582272888064),
+ FRAC_CONST(-0.01988341292573), FRAC_CONST(-0.01412888273558),
+ FRAC_CONST(-0.00857117491366), FRAC_CONST(-0.00320868968304),
+ FRAC_CONST(0.00197656014503), FRAC_CONST(0.00696368621617),
+ FRAC_CONST(0.01176238327857), FRAC_CONST(0.01637012582228),
+ FRAC_CONST(0.02079970728622), FRAC_CONST(0.02503075618909),
+ FRAC_CONST(0.02908240060125), FRAC_CONST(0.03295839306691),
+ FRAC_CONST(0.03664181168133), FRAC_CONST(0.04014582784127),
+ FRAC_CONST(0.04347687821958), FRAC_CONST(0.04663033051701),
+ FRAC_CONST(0.04959786763445), FRAC_CONST(0.05240938217366),
+ FRAC_CONST(0.05504600343009), FRAC_CONST(0.05751526919867),
+ FRAC_CONST(0.0598166570809), FRAC_CONST(0.06196027790387),
+ FRAC_CONST(0.06394448059633), FRAC_CONST(0.06576906686508),
+ FRAC_CONST(0.06745250215166), FRAC_CONST(0.06896640131951),
+ FRAC_CONST(0.07035330735093), FRAC_CONST(0.07158263647903),
+ FRAC_CONST(0.07267746427299), FRAC_CONST(0.0736406005762),
+ FRAC_CONST(0.07446643947564), FRAC_CONST(0.0751576255287),
+ FRAC_CONST(0.07573057565061), FRAC_CONST(0.07617483218536),
+ FRAC_CONST(0.07650507183194), FRAC_CONST(0.07672049241746),
+ FRAC_CONST(0.07682300113923), FRAC_CONST(0.07681739756964),
+ FRAC_CONST(0.07670934904245), FRAC_CONST(0.07649921704119),
+ FRAC_CONST(0.07619924793396), FRAC_CONST(0.07580083586584),
+ FRAC_CONST(0.07531373362019), FRAC_CONST(0.07474525581194),
+ FRAC_CONST(0.07410036424342), FRAC_CONST(0.07336202550803),
+ FRAC_CONST(0.07256825833083), FRAC_CONST(0.07170026731102),
+ FRAC_CONST(0.07076287107266), FRAC_CONST(0.06976302447127),
+ FRAC_CONST(0.06870438283512), FRAC_CONST(0.06760759851228),
+ FRAC_CONST(0.06643675122104), FRAC_CONST(0.0652247106438),
+ FRAC_CONST(0.06397158980681), FRAC_CONST(0.06268578081172),
+ FRAC_CONST(0.06134551717207), FRAC_CONST(0.05998374801761),
+ FRAC_CONST(0.0585915683626), FRAC_CONST(0.05716164501299),
+ FRAC_CONST(0.05571736482138), FRAC_CONST(0.05424527683589),
+ FRAC_CONST(0.05276307465207), FRAC_CONST(0.05125561555216),
+ FRAC_CONST(0.04973857556014), FRAC_CONST(0.04821657200672),
+ FRAC_CONST(0.04668430272642), FRAC_CONST(0.04514884056413),
+ FRAC_CONST(0.04360975421304), FRAC_CONST(0.04206490946367),
+ FRAC_CONST(0.04053491705584), FRAC_CONST(0.03900536794745),
+ FRAC_CONST(0.03748128504252), FRAC_CONST(0.03596975605542),
+ FRAC_CONST(0.03446209487686), FRAC_CONST(0.03297540810337),
+ FRAC_CONST(0.03150176087389), FRAC_CONST(0.03005026574279),
+ FRAC_CONST(0.02860721736385), FRAC_CONST(0.02718594296329),
+ FRAC_CONST(0.02578758475467), FRAC_CONST(0.02441609920285),
+ FRAC_CONST(0.02306801692862), FRAC_CONST(0.02174675502535),
+ FRAC_CONST(0.02045317933555), FRAC_CONST(0.01918724313698),
+ FRAC_CONST(0.01794333813443), FRAC_CONST(0.01673247129989),
+ FRAC_CONST(0.01554055533423), FRAC_CONST(0.01439046660792),
+ FRAC_CONST(-0.01327182200351), FRAC_CONST(-0.01218499959508),
+ FRAC_CONST(-0.01113155480321), FRAC_CONST(-0.01011502154986),
+ FRAC_CONST(-0.00913253296085), FRAC_CONST(-0.00817982333726),
+ FRAC_CONST(-0.00726158168517), FRAC_CONST(-0.00637922932685),
+ FRAC_CONST(-0.00553372111088), FRAC_CONST(-0.004722259624),
+ FRAC_CONST(-0.00394011240522), FRAC_CONST(-0.003193377839),
+ FRAC_CONST(-0.00248267236449), FRAC_CONST(-0.00180394725893),
+ FRAC_CONST(-0.00115681355227), FRAC_CONST(-0.00054642808664),
+ FRAC_CONST(2.760451905E-005), FRAC_CONST(0.0005832264248),
+ FRAC_CONST(0.00109023290512), FRAC_CONST(0.00157846825768),
+ FRAC_CONST(0.0020274176185), FRAC_CONST(0.00245085400321),
+ FRAC_CONST(0.00284467578623), FRAC_CONST(0.00320918858098),
+ FRAC_CONST(0.00354012465507), FRAC_CONST(0.00384564081246),
+ FRAC_CONST(0.0041251642327), FRAC_CONST(0.00438018617447),
+ FRAC_CONST(0.00460395301471), FRAC_CONST(0.004810946906),
+ FRAC_CONST(0.00498396877629), FRAC_CONST(0.00513822754514),
+ FRAC_CONST(0.00527157587272), FRAC_CONST(0.0053838975897),
+ FRAC_CONST(0.0054753783077), FRAC_CONST(0.005540436394),
+ FRAC_CONST(0.0055917128663), FRAC_CONST(0.00562661141932),
+ FRAC_CONST(0.00563891995151), FRAC_CONST(0.00564551969164),
+ FRAC_CONST(0.00562206432097), FRAC_CONST(0.00559380230045),
+ FRAC_CONST(0.00554757145088), FRAC_CONST(0.00548760401507),
+ FRAC_CONST(0.00541967759307), FRAC_CONST(0.00534716811982),
+ FRAC_CONST(0.00524611661324), FRAC_CONST(0.00514073539032),
+ FRAC_CONST(0.00503930226013), FRAC_CONST(0.00491376035745),
+ FRAC_CONST(0.00479325608498), FRAC_CONST(0.00466064606118),
+ FRAC_CONST(0.00452098527825), FRAC_CONST(0.00437307196781),
+ FRAC_CONST(0.0042264269227), FRAC_CONST(0.00408197531935),
+ FRAC_CONST(0.00392074323703), FRAC_CONST(0.00376039229104),
+ FRAC_CONST(0.00360082681231), FRAC_CONST(0.00344188741828),
+ FRAC_CONST(0.00327396134847), FRAC_CONST(0.00311254206525),
+ FRAC_CONST(0.00294694477165), FRAC_CONST(0.00278704643465),
+ FRAC_CONST(0.00262017586902), FRAC_CONST(0.00246256169126),
+ FRAC_CONST(0.00230172547746), FRAC_CONST(0.00214615835557),
+ FRAC_CONST(0.00198411407369), FRAC_CONST(0.00183482654224),
+ FRAC_CONST(0.00168680832531), FRAC_CONST(0.00154432198471),
+ FRAC_CONST(0.00139024948272), FRAC_CONST(0.00125778846475),
+ FRAC_CONST(0.00112501551307), FRAC_CONST(0.00098859883015),
+ FRAC_CONST(0.00086084433262), FRAC_CONST(0.00074580258865),
+ FRAC_CONST(0.00062393761391), FRAC_CONST(0.00051073884952),
+ FRAC_CONST(0.0004026540216), FRAC_CONST(0.00029495311041),
+ FRAC_CONST(0.00020430170688), FRAC_CONST(0.00010943831274),
+ FRAC_CONST(1.349497418E-005), FRAC_CONST(-6.173344072E-005),
+ FRAC_CONST(-0.00014463809349), FRAC_CONST(-0.0002098337344),
+ FRAC_CONST(-0.00028969811748), FRAC_CONST(-0.00035011758756),
+ FRAC_CONST(-0.00040951214522), FRAC_CONST(-0.00046063254803),
+ FRAC_CONST(-0.00051455722108), FRAC_CONST(-0.00055645763906),
+ FRAC_CONST(-0.0005946118933), FRAC_CONST(-0.00063415949025),
+ FRAC_CONST(-0.00066504150893), FRAC_CONST(-0.00069179375372),
+ FRAC_CONST(-0.00072153919876), FRAC_CONST(-0.00073193571525),
+ FRAC_CONST(-0.00075300014201), FRAC_CONST(-0.00076307935757),
+ FRAC_CONST(-0.0007757977331), FRAC_CONST(-0.00078014496257),
+ FRAC_CONST(-0.000780366471), FRAC_CONST(-0.00077798694927),
+ FRAC_CONST(-0.00078343322877), FRAC_CONST(-0.00077248485949),
+ FRAC_CONST(-0.0007681371927), FRAC_CONST(-0.00074905980532),
+ FRAC_CONST(-0.00074409418541), FRAC_CONST(-0.00072550431222),
+ FRAC_CONST(-0.00071577364744), FRAC_CONST(-0.00069416146273),
+ FRAC_CONST(-0.00067776907764), FRAC_CONST(-0.00065403333621),
+ FRAC_CONST(-0.00063124935319), FRAC_CONST(-0.00061327473938),
+ FRAC_CONST(-0.00058709304852), FRAC_CONST(-0.00056778025613),
+ FRAC_CONST(-0.00054665656337), FRAC_CONST(-0.00052265642972),
+ FRAC_CONST(-0.00050407143497), FRAC_CONST(-0.00048937912498),
+ FRAC_CONST(-0.00048752279712), FRAC_CONST(-0.00049475180896),
+ FRAC_CONST(-0.00056176925738), FRAC_CONST(-0.00055252865047)
};
-#endif
\ No newline at end of file
+#endif
+
Index: sbr_syntax.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_syntax.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_syntax.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_syntax.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,10 +37,38 @@
#include "sbr_tf_grid.h"
#include "sbr_e_nf.h"
#include "bits.h"
+#ifdef PS_DEC
+#include "ps_dec.h"
+#endif
+#ifdef DRM_PS
+#include "drm_dec.h"
+#endif
#include "analysis.h"
+/* static function declarations */
+static void sbr_header(bitfile *ld, sbr_info *sbr);
+static uint8_t sbr_data(bitfile *ld, sbr_info *sbr);
+static uint16_t sbr_extension(bitfile *ld, sbr_info *sbr,
+ uint8_t bs_extension_id, uint16_t num_bits_left);
+static uint8_t sbr_single_channel_element(bitfile *ld, sbr_info *sbr);
+static uint8_t sbr_channel_pair_element(bitfile *ld, sbr_info *sbr);
+static uint8_t sbr_grid(bitfile *ld, sbr_info *sbr, uint8_t ch);
+static void sbr_dtdf(bitfile *ld, sbr_info *sbr, uint8_t ch);
+static void invf_mode(bitfile *ld, sbr_info *sbr, uint8_t ch);
+static void sinusoidal_coding(bitfile *ld, sbr_info *sbr, uint8_t ch);
+
+
static void sbr_reset(sbr_info *sbr)
{
+#if 0
+ printf("%d\n", sbr->bs_start_freq_prev);
+ printf("%d\n", sbr->bs_stop_freq_prev);
+ printf("%d\n", sbr->bs_freq_scale_prev);
+ printf("%d\n", sbr->bs_alter_scale_prev);
+ printf("%d\n", sbr->bs_xover_band_prev);
+ printf("%d\n\n", sbr->bs_noise_bands_prev);
+#endif
+
/* if these are different from the previous frame: Reset = 1 */
if ((sbr->bs_start_freq != sbr->bs_start_freq_prev) ||
(sbr->bs_stop_freq != sbr->bs_stop_freq_prev) ||
@@ -78,163 +106,133 @@
}
/* table 2 */
-uint8_t sbr_extension_data(bitfile *ld, sbr_info *sbr, uint8_t id_aac)
+uint8_t sbr_extension_data(bitfile *ld, sbr_info *sbr, uint16_t cnt)
{
- uint8_t result;
-#ifdef DRM
- uint8_t crc_len;
+ uint8_t result = 0;
+ uint16_t num_align_bits = 0;
+ uint16_t num_sbr_bits = (uint16_t)faad_get_processed_bits(ld);
- if (sbr->Is_DRM_SBR)
- faad_getbits(ld, 8); /* 8-bit CRC */
- else
+#ifdef DRM
+ if (!sbr->Is_DRM_SBR)
#endif
{
- uint8_t bs_extension_type = (uint8_t)faad_getbits(ld, 4
- DEBUGVAR(1,198,"sbr_bitstream(): bs_extension_type"));
+ uint8_t bs_extension_type = (uint8_t)faad_getbits(ld, 4
+ DEBUGVAR(1,198,"sbr_bitstream(): bs_extension_type"));
- if (bs_extension_type == EXT_SBR_DATA_CRC)
- {
- sbr->bs_sbr_crc_bits = (uint16_t)faad_getbits(ld, 10
- DEBUGVAR(1,199,"sbr_bitstream(): bs_sbr_crc_bits"));
- }
+ if (bs_extension_type == EXT_SBR_DATA_CRC)
+ {
+ sbr->bs_sbr_crc_bits = (uint16_t)faad_getbits(ld, 10
+ DEBUGVAR(1,199,"sbr_bitstream(): bs_sbr_crc_bits"));
+ }
}
sbr->bs_header_flag = faad_get1bit(ld
DEBUGVAR(1,200,"sbr_bitstream(): bs_header_flag"));
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- /* Check CRC, get number of bits for check */
- if (id_aac == ID_SCE)
- {
- if (sbr->lcstereo_flag)
- {
- if (sbr->bs_header_flag)
- crc_len = min(76, sbr->data_size_bits);
- else
- crc_len = min(47, sbr->data_size_bits);
- } else {
- if (sbr->bs_header_flag)
- crc_len = min(74, sbr->data_size_bits);
- else
- crc_len = min(47, sbr->data_size_bits);
- }
- } else {
- if (sbr->bs_header_flag)
- crc_len = min(120, sbr->data_size_bits);
- else
- crc_len = min(93, sbr->data_size_bits);
- }
-
- if ((result = faad_check_CRC(ld, crc_len)) > 0)
- return result;
-
- /* Rewind and read bits again to set correct position in bit-stream */
- faad_rewindbits(ld);
- faad_getbits(ld, 8);
- faad_get1bit(ld);
- }
-#endif
-
if (sbr->bs_header_flag)
- sbr_header(ld, sbr, id_aac);
+ sbr_header(ld, sbr);
- /* TODO: Reset? */
+ /* Reset? */
sbr_reset(sbr);
/* first frame should have a header */
- if (sbr->frame == 0 && sbr->bs_header_flag == 0)
- return 1;
+ //if (!(sbr->frame == 0 && sbr->bs_header_flag == 0))
+ if (sbr->header_count != 0)
+ {
+ if (sbr->Reset || (sbr->bs_header_flag && sbr->just_seeked))
+ {
+ uint8_t k2;
+ /* calculate the Master Frequency Table */
+ sbr->k0 = qmf_start_channel(sbr->bs_start_freq, sbr->bs_samplerate_mode,
+ sbr->sample_rate);
+ k2 = qmf_stop_channel(sbr->bs_stop_freq, sbr->sample_rate, sbr->k0);
- if (sbr->Reset || (sbr->bs_header_flag && sbr->just_seeked))
- {
- uint8_t k2;
+ /* check k0 and k2 */
+ if (sbr->sample_rate >= 48000)
+ {
+ if ((k2 - sbr->k0) > 32)
+ result += 1;
+ } else if (sbr->sample_rate <= 32000) {
+ if ((k2 - sbr->k0) > 48)
+ result += 1;
+ } else { /* (sbr->sample_rate == 44100) */
+ if ((k2 - sbr->k0) > 45)
+ result += 1;
+ }
- /* calculate the Master Frequency Table */
- sbr->k0 = qmf_start_channel(sbr->bs_start_freq, sbr->bs_samplerate_mode,
- sbr->sample_rate);
- k2 = qmf_stop_channel(sbr->bs_stop_freq, sbr->sample_rate, sbr->k0);
+ if (sbr->bs_freq_scale == 0)
+ {
+ result += master_frequency_table_fs0(sbr, sbr->k0, k2,
+ sbr->bs_alter_scale);
+ } else {
+ result += master_frequency_table(sbr, sbr->k0, k2, sbr->bs_freq_scale,
+ sbr->bs_alter_scale);
+ }
+ result += derived_frequency_table(sbr, sbr->bs_xover_band, k2);
- /* check k0 and k2 */
- if (sbr->sample_rate >= 48000)
- {
- if ((k2 - sbr->k0) > 32)
- return 1;
- } else if (sbr->sample_rate <= 32000) {
- if ((k2 - sbr->k0) > 48)
- return 1;
- } else { /* (sbr->sample_rate == 44100) */
- if ((k2 - sbr->k0) > 45)
- return 1;
+ result = (result > 0) ? 1 : 0;
}
- if (sbr->bs_freq_scale == 0)
+ if (result == 0)
+ result = sbr_data(ld, sbr);
+ } else {
+ result = 1;
+ }
+
+#ifdef DRM
+ if (!sbr->Is_DRM_SBR)
+#endif
+ {
+ num_sbr_bits = (uint16_t)faad_get_processed_bits(ld) - num_sbr_bits;
+ /* -4 does not apply, bs_extension_type is re-read in this function */
+ num_align_bits = 8*cnt /*- 4*/ - num_sbr_bits;
+
+ while (num_align_bits > 7)
{
- master_frequency_table_fs0(sbr, sbr->k0, k2, sbr->bs_alter_scale);
- } else {
- master_frequency_table(sbr, sbr->k0, k2, sbr->bs_freq_scale,
- sbr->bs_alter_scale);
+ faad_getbits(ld, 8
+ DEBUGVAR(1,999,"sbr_bitstream(): num_align_bits"));
+ num_align_bits -= 8;
}
- if ((result = derived_frequency_table(sbr, sbr->bs_xover_band, k2)) > 0)
- return result;
+ faad_getbits(ld, num_align_bits
+ DEBUGVAR(1,999,"sbr_bitstream(): num_align_bits"));
}
- if ((result = sbr_data(ld, sbr, id_aac)) > 0)
- return result;
-
- /* no error */
- return 0;
+ return result;
}
/* table 3 */
-static void sbr_header(bitfile *ld, sbr_info *sbr, uint8_t id_aac)
+static void sbr_header(bitfile *ld, sbr_info *sbr)
{
uint8_t bs_header_extra_1, bs_header_extra_2;
sbr->header_count++;
-#ifdef DRM
- /* protocol_version (should be 0) */
- if (sbr->Is_DRM_SBR)
- faad_getbits(ld, 2);
-#endif
-
sbr->bs_amp_res = faad_get1bit(ld
DEBUGVAR(1,203,"sbr_header(): bs_amp_res"));
/* bs_start_freq and bs_stop_freq must define a fequency band that does
not exceed 48 channels */
- sbr->bs_start_freq = faad_getbits(ld, 4
+ sbr->bs_start_freq = (uint8_t)faad_getbits(ld, 4
DEBUGVAR(1,204,"sbr_header(): bs_start_freq"));
- sbr->bs_stop_freq = faad_getbits(ld, 4
+ sbr->bs_stop_freq = (uint8_t)faad_getbits(ld, 4
DEBUGVAR(1,205,"sbr_header(): bs_stop_freq"));
- sbr->bs_xover_band = faad_getbits(ld, 3
+ sbr->bs_xover_band = (uint8_t)faad_getbits(ld, 3
DEBUGVAR(1,206,"sbr_header(): bs_xover_band"));
faad_getbits(ld, 2
DEBUGVAR(1,207,"sbr_header(): bs_reserved_bits_hdr"));
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->bs_dataextra = faad_getbits(ld, 1);
-#endif
- bs_header_extra_1 = faad_get1bit(ld
+ bs_header_extra_1 = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,208,"sbr_header(): bs_header_extra_1"));
- bs_header_extra_2 = faad_get1bit(ld
+ bs_header_extra_2 = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,209,"sbr_header(): bs_header_extra_2"));
-#ifdef DRM
- /* No low complexity stereo support so far */
- if ((sbr->lcstereo_flag) && (sbr->Is_DRM_SBR))
- faad_getbits(ld, 2);
-#endif
if (bs_header_extra_1)
{
- sbr->bs_freq_scale = faad_getbits(ld, 2
+ sbr->bs_freq_scale = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,211,"sbr_header(): bs_freq_scale"));
- sbr->bs_alter_scale = faad_get1bit(ld
+ sbr->bs_alter_scale = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,212,"sbr_header(): bs_alter_scale"));
- sbr->bs_noise_bands = faad_getbits(ld, 2
+ sbr->bs_noise_bands = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,213,"sbr_header(): bs_noise_bands"));
} else {
/* Default values */
@@ -245,19 +243,14 @@
if (bs_header_extra_2)
{
- sbr->bs_limiter_bands = faad_getbits(ld, 2
+ sbr->bs_limiter_bands = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,214,"sbr_header(): bs_limiter_bands"));
- sbr->bs_limiter_gains = faad_getbits(ld, 2
+ sbr->bs_limiter_gains = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,215,"sbr_header(): bs_limiter_gains"));
- sbr->bs_interpol_freq = faad_get1bit(ld
+ sbr->bs_interpol_freq = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,216,"sbr_header(): bs_interpol_freq"));
- sbr->bs_smoothing_mode = faad_get1bit(ld
+ sbr->bs_smoothing_mode = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,217,"sbr_header(): bs_smoothing_mode"));
-#ifdef DRM
- /* reserved */
- if (sbr->Is_DRM_SBR)
- faad_get1bit(ld);
-#endif
} else {
/* Default values */
sbr->bs_limiter_bands = 2;
@@ -290,7 +283,7 @@
}
/* table 4 */
-static uint8_t sbr_data(bitfile *ld, sbr_info *sbr, uint8_t id_aac)
+static uint8_t sbr_data(bitfile *ld, sbr_info *sbr)
{
uint8_t result;
#if 0
@@ -300,24 +293,19 @@
sbr->rate = (sbr->bs_samplerate_mode) ? 2 : 1;
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->rate = 2;
-#endif
-
- switch (id_aac)
+ switch (sbr->id_aac)
{
case ID_SCE:
- if ((result = sbr_single_channel_element(ld, sbr)) > 0)
- return result;
+ if ((result = sbr_single_channel_element(ld, sbr)) > 0)
+ return result;
break;
case ID_CPE:
- if ((result = sbr_channel_pair_element(ld, sbr)) > 0)
- return result;
+ if ((result = sbr_channel_pair_element(ld, sbr)) > 0)
+ return result;
break;
}
- return 0;
+ return 0;
}
/* table 5 */
@@ -325,32 +313,23 @@
{
uint8_t result;
-#ifdef DRM
- if (!sbr->Is_DRM_SBR)
-#endif
- {
if (faad_get1bit(ld
DEBUGVAR(1,220,"sbr_single_channel_element(): bs_data_extra")))
{
faad_getbits(ld, 4
DEBUGVAR(1,221,"sbr_single_channel_element(): bs_reserved_bits_data"));
}
- }
+
+#ifdef DRM
+ /* bs_coupling, from sbr_channel_pair_base_element(bs_amp_res) */
+ if (sbr->Is_DRM_SBR)
+ faad_get1bit(ld);
+#endif
if ((result = sbr_grid(ld, sbr, 0)) > 0)
return result;
sbr_dtdf(ld, sbr, 0);
invf_mode(ld, sbr, 0);
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- /* sbr mode not needed in V1.0. Should be set to 2 by a V1.0 encoder */
- faad_getbits(ld, 2);
-
- if (sbr->bs_dataextra)
- faad_getbits(ld, 3); /* reserved */
- }
-#endif
sbr_envelope(ld, sbr, 0);
sbr_noise(ld, sbr, 0);
@@ -358,15 +337,8 @@
memset(sbr->bs_add_harmonic[0], 0, 64*sizeof(uint8_t));
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->bs_add_harmonic_flag[0] = 0;
- else
-#endif
- {
sbr->bs_add_harmonic_flag[0] = faad_get1bit(ld
DEBUGVAR(1,223,"sbr_single_channel_element(): bs_add_harmonic_flag[0]"));
- }
if (sbr->bs_add_harmonic_flag[0])
sinusoidal_coding(ld, sbr, 0);
@@ -375,29 +347,29 @@
if (sbr->bs_extended_data)
{
uint16_t nr_bits_left;
- uint16_t cnt = faad_getbits(ld, 4
+ uint16_t cnt = (uint16_t)faad_getbits(ld, 4
DEBUGVAR(1,225,"sbr_single_channel_element(): bs_extension_size"));
if (cnt == 15)
{
- cnt += faad_getbits(ld, 8
+ cnt += (uint16_t)faad_getbits(ld, 8
DEBUGVAR(1,226,"sbr_single_channel_element(): bs_esc_count"));
}
nr_bits_left = 8 * cnt;
while (nr_bits_left > 7)
{
- sbr->bs_extension_id = faad_getbits(ld, 2
+ sbr->bs_extension_id = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,227,"sbr_single_channel_element(): bs_extension_id"));
nr_bits_left -= 2;
- /* sbr_extension(ld, sbr, 0, nr_bits_left); */
-#ifdef DRM
- if (!sbr->Is_DRM_SBR)
-#endif
- {
- sbr->bs_extension_data = faad_getbits(ld, 6
- DEBUGVAR(1,279,"sbr_single_channel_element(): bs_extension_data"));
+ nr_bits_left -= sbr_extension(ld, sbr, sbr->bs_extension_id, nr_bits_left);
+ }
+
+ /* Corrigendum */
+ if (nr_bits_left > 0)
+ {
+ faad_getbits(ld, nr_bits_left
+ DEBUGVAR(1,280,"sbr_single_channel_element(): nr_bits_left"));
}
- }
}
return 0;
@@ -408,10 +380,6 @@
{
uint8_t n, result;
-#ifdef DRM
- if (!sbr->Is_DRM_SBR)
-#endif
- {
if (faad_get1bit(ld
DEBUGVAR(1,228,"sbr_single_channel_element(): bs_data_extra")))
{
@@ -420,7 +388,6 @@
faad_getbits(ld, 4
DEBUGVAR(1,228,"sbr_channel_pair_element(): bs_reserved_bits_data"));
}
- }
sbr->bs_coupling = faad_get1bit(ld
DEBUGVAR(1,228,"sbr_channel_pair_element(): bs_coupling"));
@@ -447,16 +414,6 @@
sbr_dtdf(ld, sbr, 0);
sbr_dtdf(ld, sbr, 1);
invf_mode(ld, sbr, 0);
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- /* sbr mode not needed in V1.0. Should be set to 2 by a V1.0 encoder */
- faad_getbits(ld, 2);
-
- if (sbr->bs_dataextra)
- faad_getbits(ld, 3); /* reserved */
- }
-#endif
/* more copying */
for (n = 0; n < sbr->N_Q; n++)
@@ -470,27 +427,13 @@
memset(sbr->bs_add_harmonic[0], 0, 64*sizeof(uint8_t));
memset(sbr->bs_add_harmonic[1], 0, 64*sizeof(uint8_t));
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->bs_add_harmonic_flag[0] = 0;
- else
-#endif
- {
sbr->bs_add_harmonic_flag[0] = faad_get1bit(ld
DEBUGVAR(1,231,"sbr_channel_pair_element(): bs_add_harmonic_flag[0]"));
- }
if (sbr->bs_add_harmonic_flag[0])
sinusoidal_coding(ld, sbr, 0);
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->bs_add_harmonic_flag[1] = 0;
- else
-#endif
- {
sbr->bs_add_harmonic_flag[1] = faad_get1bit(ld
DEBUGVAR(1,232,"sbr_channel_pair_element(): bs_add_harmonic_flag[1]"));
- }
if (sbr->bs_add_harmonic_flag[1])
sinusoidal_coding(ld, sbr, 1);
} else {
@@ -502,17 +445,6 @@
sbr_dtdf(ld, sbr, 1);
invf_mode(ld, sbr, 0);
invf_mode(ld, sbr, 1);
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- /* sbr mode not needed in V1.0. Should be set to 2 by a V1.0 encoder */
- faad_getbits(ld, 2);
- faad_getbits(ld, 2);
-
- if (sbr->bs_dataextra)
- faad_getbits(ld, 6); /* reserved */
- }
-#endif
sbr_envelope(ld, sbr, 0);
sbr_envelope(ld, sbr, 1);
sbr_noise(ld, sbr, 0);
@@ -521,27 +453,13 @@
memset(sbr->bs_add_harmonic[0], 0, 64*sizeof(uint8_t));
memset(sbr->bs_add_harmonic[1], 0, 64*sizeof(uint8_t));
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->bs_add_harmonic_flag[0] = 0;
- else
-#endif
- {
sbr->bs_add_harmonic_flag[0] = faad_get1bit(ld
DEBUGVAR(1,239,"sbr_channel_pair_element(): bs_add_harmonic_flag[0]"));
- }
if (sbr->bs_add_harmonic_flag[0])
sinusoidal_coding(ld, sbr, 0);
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- sbr->bs_add_harmonic_flag[1] = 0;
- else
-#endif
- {
sbr->bs_add_harmonic_flag[1] = faad_get1bit(ld
DEBUGVAR(1,240,"sbr_channel_pair_element(): bs_add_harmonic_flag[1]"));
- }
if (sbr->bs_add_harmonic_flag[1])
sinusoidal_coding(ld, sbr, 1);
}
@@ -556,53 +474,64 @@
if (sbr->bs_extended_data)
{
uint16_t nr_bits_left;
- uint16_t cnt = faad_getbits(ld, 4
+ uint16_t cnt = (uint16_t)faad_getbits(ld, 4
DEBUGVAR(1,234,"sbr_channel_pair_element(): bs_extension_size"));
if (cnt == 15)
{
- cnt += faad_getbits(ld, 8
+ cnt += (uint16_t)faad_getbits(ld, 8
DEBUGVAR(1,235,"sbr_channel_pair_element(): bs_esc_count"));
}
nr_bits_left = 8 * cnt;
while (nr_bits_left > 7)
{
- sbr->bs_extension_id = faad_getbits(ld, 2
+ sbr->bs_extension_id = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,236,"sbr_channel_pair_element(): bs_extension_id"));
nr_bits_left -= 2;
- /* sbr_extension(ld, sbr, 0, nr_bits_left); */
-#ifdef DRM
- if (!sbr->Is_DRM_SBR)
-#endif
- {
- sbr->bs_extension_data = faad_getbits(ld, 6
- DEBUGVAR(1,280,"sbr_single_channel_element(): bs_extension_data"));
+ sbr_extension(ld, sbr, sbr->bs_extension_id, nr_bits_left);
+ }
+
+ /* Corrigendum */
+ if (nr_bits_left > 0)
+ {
+ faad_getbits(ld, nr_bits_left
+ DEBUGVAR(1,280,"sbr_channel_pair_element(): nr_bits_left"));
}
- }
}
return 0;
}
+/* integer log[2](x): input range [0,10) */
+static int8_t sbr_log2(const int8_t val)
+{
+ int8_t log2tab[] = { 0, 0, 1, 2, 2, 3, 3, 3, 3, 4 };
+ if (val < 10 && val >= 0)
+ return log2tab[val];
+ else
+ return 0;
+}
+
+
/* table 7 */
static uint8_t sbr_grid(bitfile *ld, sbr_info *sbr, uint8_t ch)
{
uint8_t i, env, rel, result;
uint8_t bs_abs_bord, bs_abs_bord_1;
- uint16_t bs_num_env;
+ uint8_t bs_num_env = 0;
- sbr->bs_frame_class[ch] = faad_getbits(ld, 2
+ sbr->bs_frame_class[ch] = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,248,"sbr_grid(): bs_frame_class"));
switch (sbr->bs_frame_class[ch])
{
case FIXFIX:
- i = faad_getbits(ld, 2
+ i = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,249,"sbr_grid(): bs_num_env_raw"));
bs_num_env = min(1 << i, 5);
- i = faad_get1bit(ld
+ i = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,250,"sbr_grid(): bs_freq_res_flag"));
for (env = 0; env < bs_num_env; env++)
sbr->f[ch][env] = i;
@@ -614,32 +543,23 @@
break;
case FIXVAR:
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- bs_abs_bord = faad_getbits(ld, 3
- DEBUGVAR(1,251,"sbr_grid(): bs_abs_bord")) + sbr->numTimeSlots;
- } else
-#endif
- {
- bs_abs_bord = faad_getbits(ld, 2
- DEBUGVAR(1,251,"sbr_grid(): bs_abs_bord")) + sbr->numTimeSlots;
- }
- bs_num_env = faad_getbits(ld, 2
+ bs_abs_bord = (uint8_t)faad_getbits(ld, 2
+ DEBUGVAR(1,251,"sbr_grid(): bs_abs_bord")) + sbr->numTimeSlots;
+ bs_num_env = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,252,"sbr_grid(): bs_num_env")) + 1;
for (rel = 0; rel < bs_num_env-1; rel++)
{
- sbr->bs_rel_bord[ch][rel] = 2 * faad_getbits(ld, 2
+ sbr->bs_rel_bord[ch][rel] = 2 * (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,253,"sbr_grid(): bs_rel_bord")) + 2;
}
- i = int_log2((int32_t)(bs_num_env + 1));
- sbr->bs_pointer[ch] = faad_getbits(ld, i
+ i = sbr_log2(bs_num_env + 1);
+ sbr->bs_pointer[ch] = (uint8_t)faad_getbits(ld, i
DEBUGVAR(1,254,"sbr_grid(): bs_pointer"));
for (env = 0; env < bs_num_env; env++)
{
- sbr->f[ch][bs_num_env - env - 1] = faad_get1bit(ld
+ sbr->f[ch][bs_num_env - env - 1] = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,255,"sbr_grid(): bs_freq_res"));
}
@@ -650,32 +570,23 @@
break;
case VARFIX:
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- bs_abs_bord = faad_getbits(ld, 3
- DEBUGVAR(1,256,"sbr_grid(): bs_abs_bord"));
- } else
-#endif
- {
- bs_abs_bord = faad_getbits(ld, 2
+ bs_abs_bord = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,256,"sbr_grid(): bs_abs_bord"));
- }
- bs_num_env = faad_getbits(ld, 2
+ bs_num_env = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,257,"sbr_grid(): bs_num_env")) + 1;
for (rel = 0; rel < bs_num_env-1; rel++)
{
- sbr->bs_rel_bord[ch][rel] = 2 * faad_getbits(ld, 2
+ sbr->bs_rel_bord[ch][rel] = 2 * (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,258,"sbr_grid(): bs_rel_bord")) + 2;
}
- i = int_log2((int32_t)(bs_num_env + 1));
- sbr->bs_pointer[ch] = faad_getbits(ld, i
+ i = sbr_log2(bs_num_env + 1);
+ sbr->bs_pointer[ch] = (uint8_t)faad_getbits(ld, i
DEBUGVAR(1,259,"sbr_grid(): bs_pointer"));
for (env = 0; env < bs_num_env; env++)
{
- sbr->f[ch][env] = faad_get1bit(ld
+ sbr->f[ch][env] = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,260,"sbr_grid(): bs_freq_res"));
}
@@ -686,46 +597,34 @@
break;
case VARVAR:
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
- {
- bs_abs_bord = faad_getbits(ld, 3
- DEBUGVAR(1,261,"sbr_grid(): bs_abs_bord_0"));
- bs_abs_bord_1 = faad_getbits(ld, 3
- DEBUGVAR(1,262,"sbr_grid(): bs_abs_bord_1")) + sbr->numTimeSlots;
- }
- else
-#endif
- {
- bs_abs_bord = faad_getbits(ld, 2
+ bs_abs_bord = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,261,"sbr_grid(): bs_abs_bord_0"));
- bs_abs_bord_1 = faad_getbits(ld, 2
- DEBUGVAR(1,262,"sbr_grid(): bs_abs_bord_1")) + sbr->numTimeSlots;
- }
- sbr->bs_num_rel_0[ch] = faad_getbits(ld, 2
+ bs_abs_bord_1 = (uint8_t)faad_getbits(ld, 2
+ DEBUGVAR(1,262,"sbr_grid(): bs_abs_bord_1")) + sbr->numTimeSlots;
+ sbr->bs_num_rel_0[ch] = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,263,"sbr_grid(): bs_num_rel_0"));
- sbr->bs_num_rel_1[ch] = faad_getbits(ld, 2
+ sbr->bs_num_rel_1[ch] = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,264,"sbr_grid(): bs_num_rel_1"));
bs_num_env = min(5, sbr->bs_num_rel_0[ch] + sbr->bs_num_rel_1[ch] + 1);
for (rel = 0; rel < sbr->bs_num_rel_0[ch]; rel++)
{
- sbr->bs_rel_bord_0[ch][rel] = 2 * faad_getbits(ld, 2
+ sbr->bs_rel_bord_0[ch][rel] = 2 * (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,265,"sbr_grid(): bs_rel_bord")) + 2;
}
for(rel = 0; rel < sbr->bs_num_rel_1[ch]; rel++)
{
- sbr->bs_rel_bord_1[ch][rel] = 2 * faad_getbits(ld, 2
+ sbr->bs_rel_bord_1[ch][rel] = 2 * (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,266,"sbr_grid(): bs_rel_bord")) + 2;
}
- i = int_log2((int32_t)(sbr->bs_num_rel_0[ch] + sbr->bs_num_rel_1[ch] + 2));
- sbr->bs_pointer[ch] = faad_getbits(ld, i
+ i = sbr_log2(sbr->bs_num_rel_0[ch] + sbr->bs_num_rel_1[ch] + 2);
+ sbr->bs_pointer[ch] = (uint8_t)faad_getbits(ld, i
DEBUGVAR(1,267,"sbr_grid(): bs_pointer"));
for (env = 0; env < bs_num_env; env++)
{
- sbr->f[ch][env] = faad_get1bit(ld
+ sbr->f[ch][env] = (uint8_t)faad_get1bit(ld
DEBUGVAR(1,268,"sbr_grid(): bs_freq_res"));
}
@@ -741,6 +640,9 @@
else
sbr->L_E[ch] = min(bs_num_env, 4);
+ if (sbr->L_E[ch] <= 0)
+ return 1;
+
if (sbr->L_E[ch] > 1)
sbr->L_Q[ch] = 2;
else
@@ -777,23 +679,32 @@
{
uint8_t n;
-#ifdef DRM
- if (sbr->Is_DRM_SBR)
+ for (n = 0; n < sbr->N_Q; n++)
{
- /* Only one inv_mode in DRM */
- uint8_t invf_mode;
- invf_mode = faad_getbits(ld, 2
+ sbr->bs_invf_mode[ch][n] = (uint8_t)faad_getbits(ld, 2
DEBUGVAR(1,271,"invf_mode(): bs_invf_mode"));
- for (n = 0; n < sbr->N_Q; n++)
- sbr->bs_invf_mode[ch][n] = invf_mode;
- } else
-#endif
- {
- for (n = 0; n < sbr->N_Q; n++)
- {
- sbr->bs_invf_mode[ch][n] = faad_getbits(ld, 2
- DEBUGVAR(1,271,"invf_mode(): bs_invf_mode"));
- }
+ }
+}
+
+static uint16_t sbr_extension(bitfile *ld, sbr_info *sbr,
+ uint8_t bs_extension_id, uint16_t num_bits_left)
+{
+ switch (bs_extension_id)
+ {
+#ifdef PS_DEC
+ case EXTENSION_ID_PS:
+ sbr->ps_used = 1;
+ return ps_data(&(sbr->ps), ld);
+#endif
+#ifdef DRM_PS
+ case DRM_PARAMETRIC_STEREO:
+ sbr->ps_used = 1;
+ return drm_ps_data(&(sbr->drm_ps), ld);
+#endif
+ default:
+ sbr->bs_extension_data = (uint8_t)faad_getbits(ld, 6
+ DEBUGVAR(1,279,"sbr_single_channel_element(): bs_extension_data"));
+ return 6;
}
}
@@ -810,4 +721,4 @@
}
-#endif /* SBR_DEC */
\ No newline at end of file
+#endif /* SBR_DEC */
Index: sbr_syntax.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_syntax.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_syntax.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_syntax.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -34,10 +34,6 @@
#include "bits.h"
-#ifdef DRM
-# define T_HFGEN_DRM 32
-# define T_HFADJ_DRM 0
-#endif
#define T_HFGEN 8
#define T_HFADJ 2
@@ -53,21 +49,13 @@
#define HI_RES 1
#define NO_TIME_SLOTS_960 15
-#define NO_TIME_SLOTS 16
+#define NO_TIME_SLOTS 16
#define RATE 2
-#define NOISE_FLOOR_OFFSET 6.0
+#define NOISE_FLOOR_OFFSET 6
-uint8_t sbr_extension_data(bitfile *ld, sbr_info *sbr, uint8_t id_aac);
-static void sbr_header(bitfile *ld, sbr_info *sbr, uint8_t id_aac);
-static uint8_t sbr_data(bitfile *ld, sbr_info *sbr, uint8_t id_aac);
-static uint8_t sbr_single_channel_element(bitfile *ld, sbr_info *sbr);
-static uint8_t sbr_channel_pair_element(bitfile *ld, sbr_info *sbr);
-static uint8_t sbr_grid(bitfile *ld, sbr_info *sbr, uint8_t ch);
-static void sbr_dtdf(bitfile *ld, sbr_info *sbr, uint8_t ch);
-static void invf_mode(bitfile *ld, sbr_info *sbr, uint8_t ch);
-static void sinusoidal_coding(bitfile *ld, sbr_info *sbr, uint8_t ch);
+uint8_t sbr_extension_data(bitfile *ld, sbr_info *sbr, uint16_t cnt);
#ifdef __cplusplus
}
Index: sbr_tf_grid.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_tf_grid.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_tf_grid.c 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_tf_grid.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,6 +37,15 @@
#include "sbr_syntax.h"
#include "sbr_tf_grid.h"
+
+/* static function declarations */
+#if 0
+static int16_t rel_bord_lead(sbr_info *sbr, uint8_t ch, uint8_t l);
+static int16_t rel_bord_trail(sbr_info *sbr, uint8_t ch, uint8_t l);
+#endif
+static uint8_t middleBorder(sbr_info *sbr, uint8_t ch);
+
+
uint8_t envelope_time_border_vector(sbr_info *sbr, uint8_t ch)
{
uint8_t l, border, temp;
@@ -155,6 +164,7 @@
}
}
+#if 0
static int16_t rel_bord_lead(sbr_info *sbr, uint8_t ch, uint8_t l)
{
uint8_t i;
@@ -209,10 +219,11 @@
return 0;
}
+#endif
static uint8_t middleBorder(sbr_info *sbr, uint8_t ch)
{
- int8_t retval;
+ int8_t retval = 0;
switch (sbr->bs_frame_class[ch])
{
Index: sbr_tf_grid.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sbr_tf_grid.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sbr_tf_grid.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sbr_tf_grid.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -36,10 +36,6 @@
uint8_t envelope_time_border_vector(sbr_info *sbr, uint8_t ch);
void noise_floor_time_border_vector(sbr_info *sbr, uint8_t ch);
-static int16_t rel_bord_lead(sbr_info *sbr, uint8_t ch, uint8_t l);
-static int16_t rel_bord_trail(sbr_info *sbr, uint8_t ch, uint8_t l);
-static uint8_t middleBorder(sbr_info *sbr, uint8_t ch);
-
#ifdef __cplusplus
}
Index: sine_win.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/sine_win.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- sine_win.h 3 Oct 2003 22:22:27 -0000 1.2
+++ sine_win.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -37,4255 +37,4263 @@
#pragma warning(disable:4244)
#endif
-real_t sine_long_1024[] =
+ALIGN static const real_t sine_long_1024[] =
{
- COEF_CONST(0.0007669903),
- COEF_CONST(0.0023009692),
- COEF_CONST(0.0038349427),
- COEF_CONST(0.0053689071),
- COEF_CONST(0.0069028589),
- COEF_CONST(0.0084367945),
- COEF_CONST(0.0099707102),
- COEF_CONST(0.0115046024),
- COEF_CONST(0.0130384676),
- COEF_CONST(0.0145723021),
- COEF_CONST(0.0161061023),
- COEF_CONST(0.0176398646),
- COEF_CONST(0.0191735854),
- COEF_CONST(0.0207072611),
- COEF_CONST(0.0222408880),
- COEF_CONST(0.0237744627),
- COEF_CONST(0.0253079813),
- COEF_CONST(0.0268414404),
- COEF_CONST(0.0283748364),
- COEF_CONST(0.0299081656),
- COEF_CONST(0.0314414244),
- COEF_CONST(0.0329746092),
- COEF_CONST(0.0345077165),
- COEF_CONST(0.0360407425),
- COEF_CONST(0.0375736838),
- COEF_CONST(0.0391065366),
- COEF_CONST(0.0406392974),
- COEF_CONST(0.0421719625),
- COEF_CONST(0.0437045285),
- COEF_CONST(0.0452369916),
- COEF_CONST(0.0467693482),
- COEF_CONST(0.0483015948),
- COEF_CONST(0.0498337277),
- COEF_CONST(0.0513657434),
- COEF_CONST(0.0528976382),
- COEF_CONST(0.0544294085),
- COEF_CONST(0.0559610508),
- COEF_CONST(0.0574925613),
- COEF_CONST(0.0590239366),
- COEF_CONST(0.0605551730),
- COEF_CONST(0.0620862669),
- COEF_CONST(0.0636172147),
- COEF_CONST(0.0651480128),
- COEF_CONST(0.0666786576),
- COEF_CONST(0.0682091456),
- COEF_CONST(0.0697394730),
- COEF_CONST(0.0712696363),
- COEF_CONST(0.0727996319),
- COEF_CONST(0.0743294562),
- COEF_CONST(0.0758591055),
- COEF_CONST(0.0773885764),
- COEF_CONST(0.0789178652),
- COEF_CONST(0.0804469683),
- COEF_CONST(0.0819758821),
- COEF_CONST(0.0835046030),
- COEF_CONST(0.0850331273),
- COEF_CONST(0.0865614516),
- COEF_CONST(0.0880895722),
- COEF_CONST(0.0896174856),
- COEF_CONST(0.0911451880),
- COEF_CONST(0.0926726760),
- COEF_CONST(0.0941999459),
- COEF_CONST(0.0957269942),
- COEF_CONST(0.0972538171),
- COEF_CONST(0.0987804113),
- COEF_CONST(0.1003067730),
- COEF_CONST(0.1018328987),
- COEF_CONST(0.1033587847),
- COEF_CONST(0.1048844276),
- COEF_CONST(0.1064098236),
- COEF_CONST(0.1079349692),
- COEF_CONST(0.1094598609),
- COEF_CONST(0.1109844950),
- COEF_CONST(0.1125088679),
- COEF_CONST(0.1140329761),
- COEF_CONST(0.1155568160),
- COEF_CONST(0.1170803839),
- COEF_CONST(0.1186036763),
- COEF_CONST(0.1201266897),
- COEF_CONST(0.1216494204),
- COEF_CONST(0.1231718648),
- COEF_CONST(0.1246940194),
- COEF_CONST(0.1262158806),
- COEF_CONST(0.1277374448),
- COEF_CONST(0.1292587084),
- COEF_CONST(0.1307796678),
- COEF_CONST(0.1323003195),
- COEF_CONST(0.1338206599),
- COEF_CONST(0.1353406854),
- COEF_CONST(0.1368603924),
- COEF_CONST(0.1383797774),
- COEF_CONST(0.1398988368),
- COEF_CONST(0.1414175669),
- COEF_CONST(0.1429359643),
- COEF_CONST(0.1444540254),
- COEF_CONST(0.1459717465),
- COEF_CONST(0.1474891242),
- COEF_CONST(0.1490061548),
- COEF_CONST(0.1505228347),
- COEF_CONST(0.1520391605),
- COEF_CONST(0.1535551285),
- COEF_CONST(0.1550707352),
- COEF_CONST(0.1565859770),
- COEF_CONST(0.1581008503),
- COEF_CONST(0.1596153516),
- COEF_CONST(0.1611294774),
- COEF_CONST(0.1626432239),
- COEF_CONST(0.1641565877),
- COEF_CONST(0.1656695653),
- COEF_CONST(0.1671821530),
- COEF_CONST(0.1686943474),
- COEF_CONST(0.1702061448),
- COEF_CONST(0.1717175416),
- COEF_CONST(0.1732285344),
- COEF_CONST(0.1747391196),
- COEF_CONST(0.1762492936),
- COEF_CONST(0.1777590529),
- COEF_CONST(0.1792683938),
- COEF_CONST(0.1807773130),
- COEF_CONST(0.1822858067),
- COEF_CONST(0.1837938716),
- COEF_CONST(0.1853015039),
- COEF_CONST(0.1868087002),
- COEF_CONST(0.1883154569),
- COEF_CONST(0.1898217705),
- COEF_CONST(0.1913276375),
- COEF_CONST(0.1928330542),
- COEF_CONST(0.1943380172),
- COEF_CONST(0.1958425228),
- COEF_CONST(0.1973465677),
- COEF_CONST(0.1988501481),
- COEF_CONST(0.2003532607),
- COEF_CONST(0.2018559018),
- COEF_CONST(0.2033580679),
- COEF_CONST(0.2048597554),
- COEF_CONST(0.2063609610),
- COEF_CONST(0.2078616809),
- COEF_CONST(0.2093619117),
- COEF_CONST(0.2108616499),
- COEF_CONST(0.2123608919),
- COEF_CONST(0.2138596342),
- COEF_CONST(0.2153578733),
- COEF_CONST(0.2168556056),
- COEF_CONST(0.2183528276),
- COEF_CONST(0.2198495358),
- COEF_CONST(0.2213457267),
- COEF_CONST(0.2228413967),
- COEF_CONST(0.2243365424),
- COEF_CONST(0.2258311602),
- COEF_CONST(0.2273252466),
- COEF_CONST(0.2288187981),
- COEF_CONST(0.2303118111),
- COEF_CONST(0.2318042822),
- COEF_CONST(0.2332962078),
- COEF_CONST(0.2347875845),
- COEF_CONST(0.2362784086),
- COEF_CONST(0.2377686768),
- COEF_CONST(0.2392583855),
- COEF_CONST(0.2407475313),
- COEF_CONST(0.2422361105),
- COEF_CONST(0.2437241197),
- COEF_CONST(0.2452115554),
- COEF_CONST(0.2466984140),
- COEF_CONST(0.2481846922),
- COEF_CONST(0.2496703864),
- COEF_CONST(0.2511554931),
- COEF_CONST(0.2526400088),
- COEF_CONST(0.2541239300),
- COEF_CONST(0.2556072532),
- COEF_CONST(0.2570899749),
- COEF_CONST(0.2585720917),
- COEF_CONST(0.2600536001),
- COEF_CONST(0.2615344965),
- COEF_CONST(0.2630147775),
- COEF_CONST(0.2644944396),
- COEF_CONST(0.2659734793),
- COEF_CONST(0.2674518932),
- COEF_CONST(0.2689296777),
- COEF_CONST(0.2704068294),
- COEF_CONST(0.2718833448),
- COEF_CONST(0.2733592205),
- COEF_CONST(0.2748344529),
- COEF_CONST(0.2763090386),
- COEF_CONST(0.2777829741),
- COEF_CONST(0.2792562559),
- COEF_CONST(0.2807288807),
- COEF_CONST(0.2822008448),
- COEF_CONST(0.2836721449),
- COEF_CONST(0.2851427776),
- COEF_CONST(0.2866127392),
- COEF_CONST(0.2880820264),
- COEF_CONST(0.2895506357),
- COEF_CONST(0.2910185637),
- COEF_CONST(0.2924858069),
- COEF_CONST(0.2939523618),
- COEF_CONST(0.2954182251),
- COEF_CONST(0.2968833932),
- COEF_CONST(0.2983478627),
- COEF_CONST(0.2998116301),
- COEF_CONST(0.3012746921),
- COEF_CONST(0.3027370451),
- COEF_CONST(0.3041986858),
- COEF_CONST(0.3056596107),
- COEF_CONST(0.3071198163),
- COEF_CONST(0.3085792992),
- COEF_CONST(0.3100380561),
- COEF_CONST(0.3114960833),
- COEF_CONST(0.3129533776),
- COEF_CONST(0.3144099355),
- COEF_CONST(0.3158657535),
- COEF_CONST(0.3173208283),
- COEF_CONST(0.3187751564),
- COEF_CONST(0.3202287344),
- COEF_CONST(0.3216815589),
- COEF_CONST(0.3231336264),
- COEF_CONST(0.3245849335),
- COEF_CONST(0.3260354769),
- COEF_CONST(0.3274852530),
- COEF_CONST(0.3289342586),
- COEF_CONST(0.3303824902),
- COEF_CONST(0.3318299443),
- COEF_CONST(0.3332766176),
- COEF_CONST(0.3347225067),
- COEF_CONST(0.3361676081),
- COEF_CONST(0.3376119185),
- COEF_CONST(0.3390554345),
- COEF_CONST(0.3404981526),
- COEF_CONST(0.3419400695),
- COEF_CONST(0.3433811818),
- COEF_CONST(0.3448214861),
- COEF_CONST(0.3462609790),
- COEF_CONST(0.3476996571),
- COEF_CONST(0.3491375170),
- COEF_CONST(0.3505745554),
- COEF_CONST(0.3520107688),
- COEF_CONST(0.3534461540),
- COEF_CONST(0.3548807074),
- COEF_CONST(0.3563144257),
- COEF_CONST(0.3577473057),
- COEF_CONST(0.3591793438),
- COEF_CONST(0.3606105367),
- COEF_CONST(0.3620408811),
- COEF_CONST(0.3634703735),
- COEF_CONST(0.3648990107),
- COEF_CONST(0.3663267892),
- COEF_CONST(0.3677537058),
- COEF_CONST(0.3691797569),
- COEF_CONST(0.3706049394),
- COEF_CONST(0.3720292498),
- COEF_CONST(0.3734526847),
- COEF_CONST(0.3748752409),
- COEF_CONST(0.3762969150),
- COEF_CONST(0.3777177036),
- COEF_CONST(0.3791376034),
- COEF_CONST(0.3805566111),
- COEF_CONST(0.3819747232),
- COEF_CONST(0.3833919366),
- COEF_CONST(0.3848082478),
- COEF_CONST(0.3862236535),
- COEF_CONST(0.3876381503),
- COEF_CONST(0.3890517351),
- COEF_CONST(0.3904644043),
- COEF_CONST(0.3918761548),
- COEF_CONST(0.3932869831),
- COEF_CONST(0.3946968860),
- COEF_CONST(0.3961058601),
- COEF_CONST(0.3975139021),
- COEF_CONST(0.3989210088),
- COEF_CONST(0.4003271768),
- COEF_CONST(0.4017324027),
- COEF_CONST(0.4031366834),
- COEF_CONST(0.4045400154),
- COEF_CONST(0.4059423955),
- COEF_CONST(0.4073438203),
- COEF_CONST(0.4087442867),
- COEF_CONST(0.4101437912),
- COEF_CONST(0.4115423307),
- COEF_CONST(0.4129399017),
- COEF_CONST(0.4143365010),
- COEF_CONST(0.4157321254),
- COEF_CONST(0.4171267715),
- COEF_CONST(0.4185204361),
- COEF_CONST(0.4199131159),
- COEF_CONST(0.4213048075),
- COEF_CONST(0.4226955078),
- COEF_CONST(0.4240852135),
- COEF_CONST(0.4254739212),
- COEF_CONST(0.4268616277),
- COEF_CONST(0.4282483298),
- COEF_CONST(0.4296340242),
- COEF_CONST(0.4310187077),
- COEF_CONST(0.4324023768),
- COEF_CONST(0.4337850286),
- COEF_CONST(0.4351666595),
- COEF_CONST(0.4365472665),
- COEF_CONST(0.4379268463),
- COEF_CONST(0.4393053955),
- COEF_CONST(0.4406829110),
- COEF_CONST(0.4420593896),
- COEF_CONST(0.4434348280),
- COEF_CONST(0.4448092229),
- COEF_CONST(0.4461825711),
- COEF_CONST(0.4475548694),
- COEF_CONST(0.4489261146),
- COEF_CONST(0.4502963034),
- COEF_CONST(0.4516654326),
- COEF_CONST(0.4530334990),
- COEF_CONST(0.4544004994),
- COEF_CONST(0.4557664305),
- COEF_CONST(0.4571312892),
- COEF_CONST(0.4584950722),
- COEF_CONST(0.4598577763),
- COEF_CONST(0.4612193983),
- COEF_CONST(0.4625799351),
- COEF_CONST(0.4639393833),
- COEF_CONST(0.4652977398),
- COEF_CONST(0.4666550015),
- COEF_CONST(0.4680111650),
- COEF_CONST(0.4693662273),
- COEF_CONST(0.4707201851),
- COEF_CONST(0.4720730353),
- COEF_CONST(0.4734247746),
- COEF_CONST(0.4747754000),
- COEF_CONST(0.4761249081),
- COEF_CONST(0.4774732959),
- COEF_CONST(0.4788205601),
- COEF_CONST(0.4801666976),
- COEF_CONST(0.4815117052),
- COEF_CONST(0.4828555798),
- COEF_CONST(0.4841983182),
- COEF_CONST(0.4855399172),
- COEF_CONST(0.4868803737),
- COEF_CONST(0.4882196845),
- COEF_CONST(0.4895578465),
- COEF_CONST(0.4908948565),
- COEF_CONST(0.4922307114),
- COEF_CONST(0.4935654080),
- COEF_CONST(0.4948989433),
- COEF_CONST(0.4962313139),
- COEF_CONST(0.4975625169),
- COEF_CONST(0.4988925491),
- COEF_CONST(0.5002214073),
- COEF_CONST(0.5015490885),
- COEF_CONST(0.5028755895),
- COEF_CONST(0.5042009071),
- COEF_CONST(0.5055250384),
- COEF_CONST(0.5068479800),
- COEF_CONST(0.5081697290),
- COEF_CONST(0.5094902823),
- COEF_CONST(0.5108096366),
- COEF_CONST(0.5121277890),
- COEF_CONST(0.5134447363),
- COEF_CONST(0.5147604754),
- COEF_CONST(0.5160750032),
- COEF_CONST(0.5173883167),
- COEF_CONST(0.5187004127),
- COEF_CONST(0.5200112881),
- COEF_CONST(0.5213209399),
- COEF_CONST(0.5226293650),
- COEF_CONST(0.5239365603),
- COEF_CONST(0.5252425227),
- COEF_CONST(0.5265472491),
- COEF_CONST(0.5278507366),
- COEF_CONST(0.5291529819),
- COEF_CONST(0.5304539821),
- COEF_CONST(0.5317537341),
- COEF_CONST(0.5330522349),
- COEF_CONST(0.5343494813),
- COEF_CONST(0.5356454703),
- COEF_CONST(0.5369401989),
- COEF_CONST(0.5382336641),
- COEF_CONST(0.5395258627),
- COEF_CONST(0.5408167917),
- COEF_CONST(0.5421064482),
- COEF_CONST(0.5433948291),
- COEF_CONST(0.5446819312),
- COEF_CONST(0.5459677517),
- COEF_CONST(0.5472522875),
- COEF_CONST(0.5485355355),
- COEF_CONST(0.5498174928),
- COEF_CONST(0.5510981563),
- COEF_CONST(0.5523775230),
- COEF_CONST(0.5536555900),
- COEF_CONST(0.5549323541),
- COEF_CONST(0.5562078124),
- COEF_CONST(0.5574819619),
- COEF_CONST(0.5587547996),
- COEF_CONST(0.5600263225),
- COEF_CONST(0.5612965275),
- COEF_CONST(0.5625654118),
- COEF_CONST(0.5638329724),
- COEF_CONST(0.5650992062),
- COEF_CONST(0.5663641102),
- COEF_CONST(0.5676276815),
- COEF_CONST(0.5688899172),
- COEF_CONST(0.5701508142),
- COEF_CONST(0.5714103696),
- COEF_CONST(0.5726685804),
- COEF_CONST(0.5739254436),
- COEF_CONST(0.5751809564),
- COEF_CONST(0.5764351157),
- COEF_CONST(0.5776879185),
- COEF_CONST(0.5789393621),
- COEF_CONST(0.5801894433),
- COEF_CONST(0.5814381593),
- COEF_CONST(0.5826855071),
- COEF_CONST(0.5839314838),
- COEF_CONST(0.5851760864),
- COEF_CONST(0.5864193121),
- COEF_CONST(0.5876611579),
- COEF_CONST(0.5889016208),
- COEF_CONST(0.5901406980),
- COEF_CONST(0.5913783866),
- COEF_CONST(0.5926146835),
- COEF_CONST(0.5938495860),
- COEF_CONST(0.5950830911),
- COEF_CONST(0.5963151959),
- COEF_CONST(0.5975458976),
- COEF_CONST(0.5987751931),
- COEF_CONST(0.6000030797),
- COEF_CONST(0.6012295544),
- COEF_CONST(0.6024546144),
- COEF_CONST(0.6036782567),
- COEF_CONST(0.6049004785),
- COEF_CONST(0.6061212769),
- COEF_CONST(0.6073406491),
- COEF_CONST(0.6085585921),
- COEF_CONST(0.6097751031),
- COEF_CONST(0.6109901793),
- COEF_CONST(0.6122038177),
- COEF_CONST(0.6134160156),
- COEF_CONST(0.6146267701),
- COEF_CONST(0.6158360782),
- COEF_CONST(0.6170439373),
- COEF_CONST(0.6182503444),
- COEF_CONST(0.6194552967),
- COEF_CONST(0.6206587913),
- COEF_CONST(0.6218608255),
- COEF_CONST(0.6230613964),
- COEF_CONST(0.6242605011),
- COEF_CONST(0.6254581369),
- COEF_CONST(0.6266543010),
- COEF_CONST(0.6278489904),
- COEF_CONST(0.6290422025),
- COEF_CONST(0.6302339344),
- COEF_CONST(0.6314241833),
- COEF_CONST(0.6326129463),
- COEF_CONST(0.6338002208),
- COEF_CONST(0.6349860039),
- COEF_CONST(0.6361702928),
- COEF_CONST(0.6373530847),
- COEF_CONST(0.6385343769),
- COEF_CONST(0.6397141665),
- COEF_CONST(0.6408924509),
- COEF_CONST(0.6420692271),
- COEF_CONST(0.6432444925),
- COEF_CONST(0.6444182443),
- COEF_CONST(0.6455904797),
- COEF_CONST(0.6467611960),
- COEF_CONST(0.6479303904),
- COEF_CONST(0.6490980601),
- COEF_CONST(0.6502642024),
- COEF_CONST(0.6514288146),
- COEF_CONST(0.6525918940),
- COEF_CONST(0.6537534377),
- COEF_CONST(0.6549134431),
- COEF_CONST(0.6560719074),
- COEF_CONST(0.6572288279),
- COEF_CONST(0.6583842018),
- COEF_CONST(0.6595380266),
- COEF_CONST(0.6606902994),
- COEF_CONST(0.6618410175),
- COEF_CONST(0.6629901782),
- COEF_CONST(0.6641377789),
- COEF_CONST(0.6652838167),
- COEF_CONST(0.6664282891),
- COEF_CONST(0.6675711934),
- COEF_CONST(0.6687125267),
- COEF_CONST(0.6698522866),
- COEF_CONST(0.6709904702),
- COEF_CONST(0.6721270748),
- COEF_CONST(0.6732620980),
- COEF_CONST(0.6743955368),
- COEF_CONST(0.6755273888),
- COEF_CONST(0.6766576511),
- COEF_CONST(0.6777863212),
- COEF_CONST(0.6789133965),
- COEF_CONST(0.6800388741),
- COEF_CONST(0.6811627516),
- COEF_CONST(0.6822850262),
- COEF_CONST(0.6834056954),
- COEF_CONST(0.6845247564),
- COEF_CONST(0.6856422067),
- COEF_CONST(0.6867580436),
- COEF_CONST(0.6878722645),
- COEF_CONST(0.6889848667),
- COEF_CONST(0.6900958478),
- COEF_CONST(0.6912052049),
- COEF_CONST(0.6923129356),
- COEF_CONST(0.6934190372),
- COEF_CONST(0.6945235071),
- COEF_CONST(0.6956263427),
- COEF_CONST(0.6967275415),
- COEF_CONST(0.6978271008),
- COEF_CONST(0.6989250180),
- COEF_CONST(0.7000212906),
- COEF_CONST(0.7011159160),
- COEF_CONST(0.7022088916),
- COEF_CONST(0.7033002148),
- COEF_CONST(0.7043898831),
- COEF_CONST(0.7054778939),
- COEF_CONST(0.7065642446),
- COEF_CONST(0.7076489327),
- COEF_CONST(0.7087319557),
- COEF_CONST(0.7098133109),
- COEF_CONST(0.7108929959),
- COEF_CONST(0.7119710081),
- COEF_CONST(0.7130473449),
- COEF_CONST(0.7141220039),
- COEF_CONST(0.7151949824),
- COEF_CONST(0.7162662781),
- COEF_CONST(0.7173358883),
- COEF_CONST(0.7184038105),
- COEF_CONST(0.7194700423),
- COEF_CONST(0.7205345811),
- COEF_CONST(0.7215974244),
- COEF_CONST(0.7226585697),
- COEF_CONST(0.7237180145),
- COEF_CONST(0.7247757564),
- COEF_CONST(0.7258317928),
- COEF_CONST(0.7268861212),
- COEF_CONST(0.7279387392),
- COEF_CONST(0.7289896443),
- COEF_CONST(0.7300388340),
- COEF_CONST(0.7310863058),
- COEF_CONST(0.7321320574),
- COEF_CONST(0.7331760861),
- COEF_CONST(0.7342183896),
- COEF_CONST(0.7352589655),
- COEF_CONST(0.7362978112),
- COEF_CONST(0.7373349243),
- COEF_CONST(0.7383703024),
- COEF_CONST(0.7394039430),
- COEF_CONST(0.7404358438),
- COEF_CONST(0.7414660022),
- COEF_CONST(0.7424944159),
- COEF_CONST(0.7435210825),
- COEF_CONST(0.7445459994),
- COEF_CONST(0.7455691644),
- COEF_CONST(0.7465905750),
- COEF_CONST(0.7476102287),
- COEF_CONST(0.7486281233),
- COEF_CONST(0.7496442563),
- COEF_CONST(0.7506586253),
- COEF_CONST(0.7516712279),
- COEF_CONST(0.7526820618),
- COEF_CONST(0.7536911245),
- COEF_CONST(0.7546984137),
- COEF_CONST(0.7557039270),
- COEF_CONST(0.7567076622),
- COEF_CONST(0.7577096166),
- COEF_CONST(0.7587097882),
- COEF_CONST(0.7597081744),
- COEF_CONST(0.7607047729),
- COEF_CONST(0.7616995815),
- COEF_CONST(0.7626925976),
- COEF_CONST(0.7636838191),
- COEF_CONST(0.7646732436),
- COEF_CONST(0.7656608687),
- COEF_CONST(0.7666466922),
- COEF_CONST(0.7676307116),
- COEF_CONST(0.7686129248),
- COEF_CONST(0.7695933293),
- COEF_CONST(0.7705719229),
- COEF_CONST(0.7715487032),
- COEF_CONST(0.7725236681),
- COEF_CONST(0.7734968151),
- COEF_CONST(0.7744681420),
- COEF_CONST(0.7754376465),
- COEF_CONST(0.7764053263),
- COEF_CONST(0.7773711792),
- COEF_CONST(0.7783352028),
- COEF_CONST(0.7792973950),
- COEF_CONST(0.7802577533),
- COEF_CONST(0.7812162757),
- COEF_CONST(0.7821729598),
- COEF_CONST(0.7831278033),
- COEF_CONST(0.7840808041),
- COEF_CONST(0.7850319598),
- COEF_CONST(0.7859812683),
- COEF_CONST(0.7869287273),
- COEF_CONST(0.7878743346),
- COEF_CONST(0.7888180880),
- COEF_CONST(0.7897599851),
- COEF_CONST(0.7907000239),
- COEF_CONST(0.7916382021),
- COEF_CONST(0.7925745175),
- COEF_CONST(0.7935089679),
- COEF_CONST(0.7944415511),
- COEF_CONST(0.7953722649),
- COEF_CONST(0.7963011071),
- COEF_CONST(0.7972280756),
- COEF_CONST(0.7981531680),
- COEF_CONST(0.7990763824),
- COEF_CONST(0.7999977164),
- COEF_CONST(0.8009171680),
- COEF_CONST(0.8018347350),
- COEF_CONST(0.8027504151),
- COEF_CONST(0.8036642063),
- COEF_CONST(0.8045761064),
- COEF_CONST(0.8054861132),
- COEF_CONST(0.8063942247),
- COEF_CONST(0.8073004386),
- COEF_CONST(0.8082047529),
- COEF_CONST(0.8091071654),
- COEF_CONST(0.8100076740),
- COEF_CONST(0.8109062766),
- COEF_CONST(0.8118029710),
- COEF_CONST(0.8126977551),
- COEF_CONST(0.8135906270),
- COEF_CONST(0.8144815843),
- COEF_CONST(0.8153706251),
- COEF_CONST(0.8162577473),
- COEF_CONST(0.8171429487),
- COEF_CONST(0.8180262273),
- COEF_CONST(0.8189075810),
- COEF_CONST(0.8197870078),
- COEF_CONST(0.8206645055),
- COEF_CONST(0.8215400721),
- COEF_CONST(0.8224137055),
- COEF_CONST(0.8232854037),
- COEF_CONST(0.8241551647),
- COEF_CONST(0.8250229863),
- COEF_CONST(0.8258888666),
- COEF_CONST(0.8267528035),
- COEF_CONST(0.8276147949),
- COEF_CONST(0.8284748389),
- COEF_CONST(0.8293329334),
- COEF_CONST(0.8301890764),
- COEF_CONST(0.8310432659),
- COEF_CONST(0.8318954999),
- COEF_CONST(0.8327457763),
- COEF_CONST(0.8335940932),
- COEF_CONST(0.8344404486),
- COEF_CONST(0.8352848405),
- COEF_CONST(0.8361272668),
- COEF_CONST(0.8369677257),
- COEF_CONST(0.8378062151),
- COEF_CONST(0.8386427331),
- COEF_CONST(0.8394772776),
- COEF_CONST(0.8403098468),
- COEF_CONST(0.8411404387),
- COEF_CONST(0.8419690512),
- COEF_CONST(0.8427956826),
- COEF_CONST(0.8436203307),
- COEF_CONST(0.8444429937),
- COEF_CONST(0.8452636697),
- COEF_CONST(0.8460823567),
- COEF_CONST(0.8468990528),
- COEF_CONST(0.8477137560),
- COEF_CONST(0.8485264645),
- COEF_CONST(0.8493371763),
- COEF_CONST(0.8501458896),
- COEF_CONST(0.8509526024),
- COEF_CONST(0.8517573128),
- COEF_CONST(0.8525600189),
- COEF_CONST(0.8533607189),
- COEF_CONST(0.8541594108),
- COEF_CONST(0.8549560928),
- COEF_CONST(0.8557507630),
- COEF_CONST(0.8565434196),
- COEF_CONST(0.8573340606),
- COEF_CONST(0.8581226843),
- COEF_CONST(0.8589092887),
- COEF_CONST(0.8596938720),
- COEF_CONST(0.8604764323),
- COEF_CONST(0.8612569679),
- COEF_CONST(0.8620354768),
- COEF_CONST(0.8628119573),
- COEF_CONST(0.8635864076),
- COEF_CONST(0.8643588257),
- COEF_CONST(0.8651292099),
- COEF_CONST(0.8658975583),
- COEF_CONST(0.8666638692),
- COEF_CONST(0.8674281408),
- COEF_CONST(0.8681903713),
- COEF_CONST(0.8689505588),
- COEF_CONST(0.8697087015),
- COEF_CONST(0.8704647978),
- COEF_CONST(0.8712188458),
- COEF_CONST(0.8719708437),
- COEF_CONST(0.8727207898),
- COEF_CONST(0.8734686823),
- COEF_CONST(0.8742145194),
- COEF_CONST(0.8749582994),
- COEF_CONST(0.8757000206),
- COEF_CONST(0.8764396811),
- COEF_CONST(0.8771772793),
- COEF_CONST(0.8779128134),
- COEF_CONST(0.8786462817),
- COEF_CONST(0.8793776825),
- COEF_CONST(0.8801070140),
- COEF_CONST(0.8808342745),
- COEF_CONST(0.8815594624),
- COEF_CONST(0.8822825758),
- COEF_CONST(0.8830036132),
- COEF_CONST(0.8837225727),
- COEF_CONST(0.8844394528),
- COEF_CONST(0.8851542517),
- COEF_CONST(0.8858669678),
- COEF_CONST(0.8865775993),
- COEF_CONST(0.8872861446),
- COEF_CONST(0.8879926020),
- COEF_CONST(0.8886969699),
- COEF_CONST(0.8893992467),
- COEF_CONST(0.8900994305),
- COEF_CONST(0.8907975199),
- COEF_CONST(0.8914935132),
- COEF_CONST(0.8921874087),
- COEF_CONST(0.8928792048),
- COEF_CONST(0.8935688998),
- COEF_CONST(0.8942564922),
- COEF_CONST(0.8949419803),
- COEF_CONST(0.8956253626),
- COEF_CONST(0.8963066373),
- COEF_CONST(0.8969858030),
- COEF_CONST(0.8976628579),
- COEF_CONST(0.8983378006),
- COEF_CONST(0.8990106294),
- COEF_CONST(0.8996813427),
- COEF_CONST(0.9003499390),
- COEF_CONST(0.9010164167),
- COEF_CONST(0.9016807742),
- COEF_CONST(0.9023430100),
- COEF_CONST(0.9030031224),
- COEF_CONST(0.9036611101),
- COEF_CONST(0.9043169713),
- COEF_CONST(0.9049707045),
- COEF_CONST(0.9056223083),
- COEF_CONST(0.9062717811),
- COEF_CONST(0.9069191213),
- COEF_CONST(0.9075643274),
- COEF_CONST(0.9082073980),
- COEF_CONST(0.9088483315),
- COEF_CONST(0.9094871263),
- COEF_CONST(0.9101237811),
- COEF_CONST(0.9107582942),
- COEF_CONST(0.9113906642),
- COEF_CONST(0.9120208897),
- COEF_CONST(0.9126489690),
- COEF_CONST(0.9132749009),
- COEF_CONST(0.9138986837),
- COEF_CONST(0.9145203160),
- COEF_CONST(0.9151397963),
- COEF_CONST(0.9157571232),
- COEF_CONST(0.9163722953),
- COEF_CONST(0.9169853111),
- COEF_CONST(0.9175961691),
- COEF_CONST(0.9182048679),
- COEF_CONST(0.9188114061),
- COEF_CONST(0.9194157822),
- COEF_CONST(0.9200179948),
- COEF_CONST(0.9206180426),
- COEF_CONST(0.9212159241),
- COEF_CONST(0.9218116378),
- COEF_CONST(0.9224051825),
- COEF_CONST(0.9229965566),
- COEF_CONST(0.9235857588),
- COEF_CONST(0.9241727878),
- COEF_CONST(0.9247576421),
- COEF_CONST(0.9253403203),
- COEF_CONST(0.9259208211),
- COEF_CONST(0.9264991431),
- COEF_CONST(0.9270752850),
- COEF_CONST(0.9276492454),
- COEF_CONST(0.9282210230),
- COEF_CONST(0.9287906163),
- COEF_CONST(0.9293580242),
- COEF_CONST(0.9299232451),
- COEF_CONST(0.9304862779),
- COEF_CONST(0.9310471211),
- COEF_CONST(0.9316057735),
- COEF_CONST(0.9321622337),
- COEF_CONST(0.9327165005),
- COEF_CONST(0.9332685724),
- COEF_CONST(0.9338184484),
- COEF_CONST(0.9343661269),
- COEF_CONST(0.9349116068),
- COEF_CONST(0.9354548868),
- COEF_CONST(0.9359959655),
- COEF_CONST(0.9365348418),
- COEF_CONST(0.9370715142),
- COEF_CONST(0.9376059817),
- COEF_CONST(0.9381382429),
- COEF_CONST(0.9386682966),
- COEF_CONST(0.9391961415),
- COEF_CONST(0.9397217764),
- COEF_CONST(0.9402452000),
- COEF_CONST(0.9407664111),
- COEF_CONST(0.9412854085),
- COEF_CONST(0.9418021910),
- COEF_CONST(0.9423167573),
- COEF_CONST(0.9428291063),
- COEF_CONST(0.9433392367),
- COEF_CONST(0.9438471473),
- COEF_CONST(0.9443528370),
- COEF_CONST(0.9448563045),
- COEF_CONST(0.9453575486),
- COEF_CONST(0.9458565683),
- COEF_CONST(0.9463533623),
- COEF_CONST(0.9468479294),
- COEF_CONST(0.9473402684),
- COEF_CONST(0.9478303783),
- COEF_CONST(0.9483182579),
- COEF_CONST(0.9488039059),
- COEF_CONST(0.9492873214),
- COEF_CONST(0.9497685031),
- COEF_CONST(0.9502474498),
- COEF_CONST(0.9507241606),
- COEF_CONST(0.9511986342),
- COEF_CONST(0.9516708696),
- COEF_CONST(0.9521408655),
- COEF_CONST(0.9526086210),
- COEF_CONST(0.9530741350),
- COEF_CONST(0.9535374062),
- COEF_CONST(0.9539984337),
- COEF_CONST(0.9544572163),
- COEF_CONST(0.9549137530),
- COEF_CONST(0.9553680427),
- COEF_CONST(0.9558200843),
- COEF_CONST(0.9562698768),
- COEF_CONST(0.9567174191),
- COEF_CONST(0.9571627101),
- COEF_CONST(0.9576057488),
- COEF_CONST(0.9580465342),
- COEF_CONST(0.9584850652),
- COEF_CONST(0.9589213409),
- COEF_CONST(0.9593553600),
- COEF_CONST(0.9597871218),
- COEF_CONST(0.9602166250),
- COEF_CONST(0.9606438688),
- COEF_CONST(0.9610688521),
- COEF_CONST(0.9614915739),
- COEF_CONST(0.9619120332),
- COEF_CONST(0.9623302290),
- COEF_CONST(0.9627461604),
- COEF_CONST(0.9631598263),
- COEF_CONST(0.9635712259),
- COEF_CONST(0.9639803580),
- COEF_CONST(0.9643872219),
- COEF_CONST(0.9647918164),
- COEF_CONST(0.9651941407),
- COEF_CONST(0.9655941938),
- COEF_CONST(0.9659919747),
- COEF_CONST(0.9663874826),
- COEF_CONST(0.9667807165),
- COEF_CONST(0.9671716754),
- COEF_CONST(0.9675603585),
- COEF_CONST(0.9679467648),
- COEF_CONST(0.9683308935),
- COEF_CONST(0.9687127436),
- COEF_CONST(0.9690923142),
- COEF_CONST(0.9694696044),
- COEF_CONST(0.9698446134),
- COEF_CONST(0.9702173403),
- COEF_CONST(0.9705877841),
- COEF_CONST(0.9709559440),
- COEF_CONST(0.9713218192),
- COEF_CONST(0.9716854088),
- COEF_CONST(0.9720467119),
- COEF_CONST(0.9724057277),
- COEF_CONST(0.9727624553),
- COEF_CONST(0.9731168939),
- COEF_CONST(0.9734690427),
- COEF_CONST(0.9738189008),
- COEF_CONST(0.9741664675),
- COEF_CONST(0.9745117418),
- COEF_CONST(0.9748547230),
- COEF_CONST(0.9751954102),
- COEF_CONST(0.9755338028),
- COEF_CONST(0.9758698998),
- COEF_CONST(0.9762037005),
- COEF_CONST(0.9765352041),
- COEF_CONST(0.9768644098),
- COEF_CONST(0.9771913168),
- COEF_CONST(0.9775159245),
- COEF_CONST(0.9778382319),
- COEF_CONST(0.9781582384),
- COEF_CONST(0.9784759432),
- COEF_CONST(0.9787913456),
- COEF_CONST(0.9791044447),
- COEF_CONST(0.9794152399),
- COEF_CONST(0.9797237305),
- COEF_CONST(0.9800299157),
- COEF_CONST(0.9803337948),
- COEF_CONST(0.9806353670),
- COEF_CONST(0.9809346317),
- COEF_CONST(0.9812315882),
- COEF_CONST(0.9815262358),
- COEF_CONST(0.9818185737),
- COEF_CONST(0.9821086014),
- COEF_CONST(0.9823963180),
- COEF_CONST(0.9826817229),
- COEF_CONST(0.9829648155),
- COEF_CONST(0.9832455951),
- COEF_CONST(0.9835240610),
- COEF_CONST(0.9838002126),
- COEF_CONST(0.9840740493),
- COEF_CONST(0.9843455703),
- COEF_CONST(0.9846147750),
- COEF_CONST(0.9848816628),
- COEF_CONST(0.9851462332),
- COEF_CONST(0.9854084853),
- COEF_CONST(0.9856684187),
- COEF_CONST(0.9859260328),
- COEF_CONST(0.9861813268),
- COEF_CONST(0.9864343003),
- COEF_CONST(0.9866849526),
- COEF_CONST(0.9869332832),
- COEF_CONST(0.9871792914),
- COEF_CONST(0.9874229766),
- COEF_CONST(0.9876643384),
- COEF_CONST(0.9879033761),
- COEF_CONST(0.9881400891),
- COEF_CONST(0.9883744770),
- COEF_CONST(0.9886065391),
- COEF_CONST(0.9888362750),
- COEF_CONST(0.9890636840),
- COEF_CONST(0.9892887657),
- COEF_CONST(0.9895115194),
- COEF_CONST(0.9897319448),
- COEF_CONST(0.9899500412),
- COEF_CONST(0.9901658081),
- COEF_CONST(0.9903792451),
- COEF_CONST(0.9905903517),
- COEF_CONST(0.9907991273),
- COEF_CONST(0.9910055714),
- COEF_CONST(0.9912096836),
- COEF_CONST(0.9914114634),
- COEF_CONST(0.9916109103),
- COEF_CONST(0.9918080239),
- COEF_CONST(0.9920028036),
- COEF_CONST(0.9921952491),
- COEF_CONST(0.9923853598),
- COEF_CONST(0.9925731354),
- COEF_CONST(0.9927585753),
- COEF_CONST(0.9929416792),
- COEF_CONST(0.9931224466),
- COEF_CONST(0.9933008770),
- COEF_CONST(0.9934769702),
- COEF_CONST(0.9936507256),
- COEF_CONST(0.9938221428),
- COEF_CONST(0.9939912215),
- COEF_CONST(0.9941579612),
- COEF_CONST(0.9943223616),
- COEF_CONST(0.9944844222),
- COEF_CONST(0.9946441427),
- COEF_CONST(0.9948015227),
- COEF_CONST(0.9949565619),
- COEF_CONST(0.9951092598),
- COEF_CONST(0.9952596161),
- COEF_CONST(0.9954076305),
- COEF_CONST(0.9955533026),
- COEF_CONST(0.9956966321),
- COEF_CONST(0.9958376186),
- COEF_CONST(0.9959762618),
- COEF_CONST(0.9961125614),
- COEF_CONST(0.9962465170),
- COEF_CONST(0.9963781284),
- COEF_CONST(0.9965073951),
- COEF_CONST(0.9966343170),
- COEF_CONST(0.9967588938),
- COEF_CONST(0.9968811250),
- COEF_CONST(0.9970010105),
- COEF_CONST(0.9971185500),
- COEF_CONST(0.9972337431),
- COEF_CONST(0.9973465897),
- COEF_CONST(0.9974570894),
- COEF_CONST(0.9975652420),
- COEF_CONST(0.9976710472),
- COEF_CONST(0.9977745048),
- COEF_CONST(0.9978756145),
- COEF_CONST(0.9979743762),
- COEF_CONST(0.9980707895),
- COEF_CONST(0.9981648543),
- COEF_CONST(0.9982565703),
- COEF_CONST(0.9983459372),
- COEF_CONST(0.9984329550),
- COEF_CONST(0.9985176234),
- COEF_CONST(0.9985999422),
- COEF_CONST(0.9986799111),
- COEF_CONST(0.9987575301),
- COEF_CONST(0.9988327989),
- COEF_CONST(0.9989057173),
- COEF_CONST(0.9989762853),
- COEF_CONST(0.9990445025),
- COEF_CONST(0.9991103689),
- COEF_CONST(0.9991738843),
- COEF_CONST(0.9992350485),
- COEF_CONST(0.9992938615),
- COEF_CONST(0.9993503230),
- COEF_CONST(0.9994044329),
- COEF_CONST(0.9994561911),
- COEF_CONST(0.9995055976),
- COEF_CONST(0.9995526521),
- COEF_CONST(0.9995973545),
- COEF_CONST(0.9996397048),
- COEF_CONST(0.9996797029),
- COEF_CONST(0.9997173486),
- COEF_CONST(0.9997526418),
- COEF_CONST(0.9997855826),
- COEF_CONST(0.9998161708),
- COEF_CONST(0.9998444063),
- COEF_CONST(0.9998702890),
- COEF_CONST(0.9998938190),
- COEF_CONST(0.9999149961),
- COEF_CONST(0.9999338204),
- COEF_CONST(0.9999502917),
- COEF_CONST(0.9999644100),
- COEF_CONST(0.9999761753),
- COEF_CONST(0.9999855875),
- COEF_CONST(0.9999926467),
- COEF_CONST(0.9999973529),
- COEF_CONST(0.9999997059)
+ FRAC_CONST(0.00076699031874270449),
+ FRAC_CONST(0.002300969151425805),
+ FRAC_CONST(0.0038349425697062275),
+ FRAC_CONST(0.0053689069639963425),
+ FRAC_CONST(0.0069028587247297558),
+ FRAC_CONST(0.0084367942423697988),
+ FRAC_CONST(0.0099707099074180308),
+ FRAC_CONST(0.011504602110422714),
+ FRAC_CONST(0.013038467241987334),
+ FRAC_CONST(0.014572301692779064),
+ FRAC_CONST(0.016106101853537287),
+ FRAC_CONST(0.017639864115082053),
+ FRAC_CONST(0.019173584868322623),
+ FRAC_CONST(0.020707260504265895),
+ FRAC_CONST(0.022240887414024961),
+ FRAC_CONST(0.023774461988827555),
+ FRAC_CONST(0.025307980620024571),
+ FRAC_CONST(0.026841439699098531),
+ FRAC_CONST(0.028374835617672099),
+ FRAC_CONST(0.029908164767516555),
+ FRAC_CONST(0.031441423540560301),
+ FRAC_CONST(0.032974608328897335),
+ FRAC_CONST(0.03450771552479575),
+ FRAC_CONST(0.036040741520706229),
+ FRAC_CONST(0.037573682709270494),
+ FRAC_CONST(0.039106535483329888),
+ FRAC_CONST(0.040639296235933736),
+ FRAC_CONST(0.042171961360347947),
+ FRAC_CONST(0.043704527250063421),
+ FRAC_CONST(0.04523699029880459),
+ FRAC_CONST(0.046769346900537863),
+ FRAC_CONST(0.048301593449480144),
+ FRAC_CONST(0.049833726340107277),
+ FRAC_CONST(0.051365741967162593),
+ FRAC_CONST(0.052897636725665324),
+ FRAC_CONST(0.054429407010919133),
+ FRAC_CONST(0.055961049218520569),
+ FRAC_CONST(0.057492559744367566),
+ FRAC_CONST(0.059023934984667931),
+ FRAC_CONST(0.060555171335947788),
+ FRAC_CONST(0.062086265195060088),
+ FRAC_CONST(0.063617212959193106),
+ FRAC_CONST(0.065148011025878833),
+ FRAC_CONST(0.066678655793001557),
+ FRAC_CONST(0.068209143658806329),
+ FRAC_CONST(0.069739471021907307),
+ FRAC_CONST(0.071269634281296401),
+ FRAC_CONST(0.072799629836351673),
+ FRAC_CONST(0.074329454086845756),
+ FRAC_CONST(0.075859103432954447),
+ FRAC_CONST(0.077388574275265049),
+ FRAC_CONST(0.078917863014784942),
+ FRAC_CONST(0.080446966052950014),
+ FRAC_CONST(0.081975879791633066),
+ FRAC_CONST(0.083504600633152432),
+ FRAC_CONST(0.085033124980280275),
+ FRAC_CONST(0.08656144923625117),
+ FRAC_CONST(0.088089569804770507),
+ FRAC_CONST(0.089617483090022959),
+ FRAC_CONST(0.091145185496681005),
+ FRAC_CONST(0.09267267342991331),
+ FRAC_CONST(0.094199943295393204),
+ FRAC_CONST(0.095726991499307162),
+ FRAC_CONST(0.097253814448363271),
+ FRAC_CONST(0.098780408549799623),
+ FRAC_CONST(0.10030677021139286),
+ FRAC_CONST(0.10183289584146653),
+ FRAC_CONST(0.10335878184889961),
+ FRAC_CONST(0.10488442464313497),
+ FRAC_CONST(0.10640982063418768),
+ FRAC_CONST(0.10793496623265365),
+ FRAC_CONST(0.10945985784971798),
+ FRAC_CONST(0.11098449189716339),
+ FRAC_CONST(0.11250886478737869),
+ FRAC_CONST(0.1140329729333672),
+ FRAC_CONST(0.11555681274875526),
+ FRAC_CONST(0.11708038064780059),
+ FRAC_CONST(0.11860367304540072),
+ FRAC_CONST(0.1201266863571015),
+ FRAC_CONST(0.12164941699910553),
+ FRAC_CONST(0.12317186138828048),
+ FRAC_CONST(0.12469401594216764),
+ FRAC_CONST(0.12621587707899035),
+ FRAC_CONST(0.12773744121766231),
+ FRAC_CONST(0.12925870477779614),
+ FRAC_CONST(0.13077966417971171),
+ FRAC_CONST(0.13230031584444465),
+ FRAC_CONST(0.13382065619375472),
+ FRAC_CONST(0.13534068165013421),
+ FRAC_CONST(0.13686038863681638),
+ FRAC_CONST(0.13837977357778389),
+ FRAC_CONST(0.13989883289777721),
+ FRAC_CONST(0.14141756302230302),
+ FRAC_CONST(0.14293596037764267),
+ FRAC_CONST(0.14445402139086047),
+ FRAC_CONST(0.14597174248981221),
+ FRAC_CONST(0.14748912010315357),
+ FRAC_CONST(0.14900615066034845),
+ FRAC_CONST(0.1505228305916774),
+ FRAC_CONST(0.15203915632824605),
+ FRAC_CONST(0.15355512430199345),
+ FRAC_CONST(0.15507073094570051),
+ FRAC_CONST(0.15658597269299843),
+ FRAC_CONST(0.15810084597837698),
+ FRAC_CONST(0.15961534723719306),
+ FRAC_CONST(0.16112947290567881),
+ FRAC_CONST(0.16264321942095031),
+ FRAC_CONST(0.16415658322101581),
+ FRAC_CONST(0.16566956074478412),
+ FRAC_CONST(0.16718214843207294),
+ FRAC_CONST(0.16869434272361733),
+ FRAC_CONST(0.17020614006107807),
+ FRAC_CONST(0.17171753688704997),
+ FRAC_CONST(0.17322852964507032),
+ FRAC_CONST(0.1747391147796272),
+ FRAC_CONST(0.17624928873616788),
+ FRAC_CONST(0.17775904796110717),
+ FRAC_CONST(0.17926838890183575),
+ FRAC_CONST(0.18077730800672859),
+ FRAC_CONST(0.1822858017251533),
+ FRAC_CONST(0.18379386650747845),
+ FRAC_CONST(0.1853014988050819),
+ FRAC_CONST(0.18680869507035927),
+ FRAC_CONST(0.18831545175673212),
+ FRAC_CONST(0.18982176531865641),
+ FRAC_CONST(0.1913276322116309),
+ FRAC_CONST(0.19283304889220523),
+ FRAC_CONST(0.1943380118179886),
+ FRAC_CONST(0.19584251744765785),
+ FRAC_CONST(0.19734656224096592),
+ FRAC_CONST(0.19885014265875009),
+ FRAC_CONST(0.20035325516294045),
+ FRAC_CONST(0.20185589621656805),
+ FRAC_CONST(0.20335806228377332),
+ FRAC_CONST(0.20485974982981442),
+ FRAC_CONST(0.20636095532107551),
+ FRAC_CONST(0.20786167522507507),
+ FRAC_CONST(0.20936190601047416),
+ FRAC_CONST(0.21086164414708486),
+ FRAC_CONST(0.21236088610587842),
+ FRAC_CONST(0.21385962835899375),
+ FRAC_CONST(0.21535786737974555),
+ FRAC_CONST(0.21685559964263262),
+ FRAC_CONST(0.21835282162334632),
+ FRAC_CONST(0.2198495297987787),
+ FRAC_CONST(0.22134572064703081),
+ FRAC_CONST(0.22284139064742112),
+ FRAC_CONST(0.2243365362804936),
+ FRAC_CONST(0.22583115402802617),
+ FRAC_CONST(0.22732524037303886),
+ FRAC_CONST(0.22881879179980222),
+ FRAC_CONST(0.23031180479384544),
+ FRAC_CONST(0.23180427584196478),
+ FRAC_CONST(0.23329620143223159),
+ FRAC_CONST(0.23478757805400097),
+ FRAC_CONST(0.23627840219791957),
+ FRAC_CONST(0.23776867035593419),
+ FRAC_CONST(0.23925837902129998),
+ FRAC_CONST(0.24074752468858843),
+ FRAC_CONST(0.24223610385369601),
+ FRAC_CONST(0.24372411301385216),
+ FRAC_CONST(0.24521154866762754),
+ FRAC_CONST(0.24669840731494241),
+ FRAC_CONST(0.24818468545707478),
+ FRAC_CONST(0.24967037959666857),
+ FRAC_CONST(0.25115548623774192),
+ FRAC_CONST(0.25264000188569552),
+ FRAC_CONST(0.25412392304732062),
+ FRAC_CONST(0.25560724623080738),
+ FRAC_CONST(0.25708996794575312),
+ FRAC_CONST(0.25857208470317034),
+ FRAC_CONST(0.26005359301549519),
+ FRAC_CONST(0.26153448939659552),
+ FRAC_CONST(0.263014770361779),
+ FRAC_CONST(0.26449443242780163),
+ FRAC_CONST(0.26597347211287559),
+ FRAC_CONST(0.26745188593667762),
+ FRAC_CONST(0.26892967042035726),
+ FRAC_CONST(0.27040682208654482),
+ FRAC_CONST(0.27188333745935972),
+ FRAC_CONST(0.27335921306441868),
+ FRAC_CONST(0.27483444542884394),
+ FRAC_CONST(0.27630903108127108),
+ FRAC_CONST(0.27778296655185769),
+ FRAC_CONST(0.27925624837229118),
+ FRAC_CONST(0.28072887307579719),
+ FRAC_CONST(0.28220083719714756),
+ FRAC_CONST(0.28367213727266843),
+ FRAC_CONST(0.28514276984024867),
+ FRAC_CONST(0.28661273143934779),
+ FRAC_CONST(0.28808201861100413),
+ FRAC_CONST(0.28955062789784303),
+ FRAC_CONST(0.29101855584408509),
+ FRAC_CONST(0.29248579899555388),
+ FRAC_CONST(0.29395235389968466),
+ FRAC_CONST(0.29541821710553201),
+ FRAC_CONST(0.29688338516377827),
+ FRAC_CONST(0.2983478546267414),
+ FRAC_CONST(0.29981162204838335),
+ FRAC_CONST(0.30127468398431795),
+ FRAC_CONST(0.30273703699181914),
+ FRAC_CONST(0.30419867762982911),
+ FRAC_CONST(0.30565960245896612),
+ FRAC_CONST(0.3071198080415331),
+ FRAC_CONST(0.30857929094152509),
+ FRAC_CONST(0.31003804772463789),
+ FRAC_CONST(0.31149607495827591),
+ FRAC_CONST(0.3129533692115602),
+ FRAC_CONST(0.31440992705533666),
+ FRAC_CONST(0.31586574506218396),
+ FRAC_CONST(0.31732081980642174),
+ FRAC_CONST(0.31877514786411848),
+ FRAC_CONST(0.32022872581309986),
+ FRAC_CONST(0.32168155023295658),
+ FRAC_CONST(0.32313361770505233),
+ FRAC_CONST(0.32458492481253215),
+ FRAC_CONST(0.32603546814033024),
+ FRAC_CONST(0.327485244275178),
+ FRAC_CONST(0.3289342498056122),
+ FRAC_CONST(0.33038248132198278),
+ FRAC_CONST(0.33182993541646111),
+ FRAC_CONST(0.33327660868304793),
+ FRAC_CONST(0.33472249771758122),
+ FRAC_CONST(0.33616759911774452),
+ FRAC_CONST(0.33761190948307462),
+ FRAC_CONST(0.33905542541496964),
+ FRAC_CONST(0.34049814351669716),
+ FRAC_CONST(0.34194006039340219),
+ FRAC_CONST(0.34338117265211504),
+ FRAC_CONST(0.34482147690175929),
+ FRAC_CONST(0.34626096975316001),
+ FRAC_CONST(0.34769964781905138),
+ FRAC_CONST(0.34913750771408497),
+ FRAC_CONST(0.35057454605483751),
+ FRAC_CONST(0.35201075945981908),
+ FRAC_CONST(0.35344614454948081),
+ FRAC_CONST(0.35488069794622279),
+ FRAC_CONST(0.35631441627440241),
+ FRAC_CONST(0.3577472961603419),
+ FRAC_CONST(0.3591793342323365),
+ FRAC_CONST(0.36061052712066227),
+ FRAC_CONST(0.36204087145758418),
+ FRAC_CONST(0.36347036387736376),
+ FRAC_CONST(0.36489900101626732),
+ FRAC_CONST(0.36632677951257359),
+ FRAC_CONST(0.36775369600658198),
+ FRAC_CONST(0.36917974714062002),
+ FRAC_CONST(0.37060492955905167),
+ FRAC_CONST(0.37202923990828501),
+ FRAC_CONST(0.3734526748367803),
+ FRAC_CONST(0.37487523099505754),
+ FRAC_CONST(0.37629690503570479),
+ FRAC_CONST(0.37771769361338564),
+ FRAC_CONST(0.37913759338484732),
+ FRAC_CONST(0.38055660100892852),
+ FRAC_CONST(0.38197471314656722),
+ FRAC_CONST(0.38339192646080866),
+ FRAC_CONST(0.38480823761681288),
+ FRAC_CONST(0.38622364328186298),
+ FRAC_CONST(0.38763814012537273),
+ FRAC_CONST(0.38905172481889438),
+ FRAC_CONST(0.39046439403612659),
+ FRAC_CONST(0.39187614445292235),
+ FRAC_CONST(0.3932869727472964),
+ FRAC_CONST(0.39469687559943356),
+ FRAC_CONST(0.39610584969169627),
+ FRAC_CONST(0.39751389170863233),
+ FRAC_CONST(0.39892099833698291),
+ FRAC_CONST(0.40032716626569009),
+ FRAC_CONST(0.40173239218590501),
+ FRAC_CONST(0.4031366727909953),
+ FRAC_CONST(0.404540004776553),
+ FRAC_CONST(0.40594238484040251),
+ FRAC_CONST(0.40734380968260797),
+ FRAC_CONST(0.40874427600548136),
+ FRAC_CONST(0.41014378051359024),
+ FRAC_CONST(0.41154231991376522),
+ FRAC_CONST(0.41293989091510808),
+ FRAC_CONST(0.4143364902289991),
+ FRAC_CONST(0.41573211456910536),
+ FRAC_CONST(0.41712676065138787),
+ FRAC_CONST(0.4185204251941097),
+ FRAC_CONST(0.41991310491784362),
+ FRAC_CONST(0.42130479654547964),
+ FRAC_CONST(0.42269549680223295),
+ FRAC_CONST(0.42408520241565156),
+ FRAC_CONST(0.4254739101156238),
+ FRAC_CONST(0.42686161663438643),
+ FRAC_CONST(0.42824831870653196),
+ FRAC_CONST(0.42963401306901638),
+ FRAC_CONST(0.43101869646116703),
+ FRAC_CONST(0.43240236562469014),
+ FRAC_CONST(0.43378501730367852),
+ FRAC_CONST(0.43516664824461926),
+ FRAC_CONST(0.4365472551964012),
+ FRAC_CONST(0.43792683491032286),
+ FRAC_CONST(0.43930538414009995),
+ FRAC_CONST(0.4406828996418729),
+ FRAC_CONST(0.4420593781742147),
+ FRAC_CONST(0.44343481649813848),
+ FRAC_CONST(0.44480921137710488),
+ FRAC_CONST(0.44618255957703007),
+ FRAC_CONST(0.44755485786629301),
+ FRAC_CONST(0.44892610301574326),
+ FRAC_CONST(0.45029629179870861),
+ FRAC_CONST(0.45166542099100249),
+ FRAC_CONST(0.45303348737093158),
+ FRAC_CONST(0.45440048771930358),
+ FRAC_CONST(0.45576641881943464),
+ FRAC_CONST(0.45713127745715698),
+ FRAC_CONST(0.45849506042082627),
+ FRAC_CONST(0.45985776450132954),
+ FRAC_CONST(0.46121938649209238),
+ FRAC_CONST(0.46257992318908681),
+ FRAC_CONST(0.46393937139083852),
+ FRAC_CONST(0.4652977278984346),
+ FRAC_CONST(0.46665498951553092),
+ FRAC_CONST(0.46801115304835983),
+ FRAC_CONST(0.46936621530573752),
+ FRAC_CONST(0.4707201730990716),
+ FRAC_CONST(0.47207302324236866),
+ FRAC_CONST(0.47342476255224153),
+ FRAC_CONST(0.47477538784791712),
+ FRAC_CONST(0.47612489595124358),
+ FRAC_CONST(0.47747328368669806),
+ FRAC_CONST(0.47882054788139389),
+ FRAC_CONST(0.48016668536508839),
+ FRAC_CONST(0.48151169297018986),
+ FRAC_CONST(0.48285556753176567),
+ FRAC_CONST(0.48419830588754903),
+ FRAC_CONST(0.48553990487794696),
+ FRAC_CONST(0.48688036134604734),
+ FRAC_CONST(0.48821967213762679),
+ FRAC_CONST(0.48955783410115744),
+ FRAC_CONST(0.49089484408781509),
+ FRAC_CONST(0.49223069895148602),
+ FRAC_CONST(0.49356539554877477),
+ FRAC_CONST(0.49489893073901126),
+ FRAC_CONST(0.49623130138425825),
+ FRAC_CONST(0.49756250434931915),
+ FRAC_CONST(0.49889253650174459),
+ FRAC_CONST(0.50022139471184068),
+ FRAC_CONST(0.50154907585267539),
+ FRAC_CONST(0.50287557680008699),
+ FRAC_CONST(0.50420089443269034),
+ FRAC_CONST(0.50552502563188539),
+ FRAC_CONST(0.50684796728186321),
+ FRAC_CONST(0.5081697162696146),
+ FRAC_CONST(0.50949026948493636),
+ FRAC_CONST(0.51080962382043904),
+ FRAC_CONST(0.51212777617155469),
+ FRAC_CONST(0.51344472343654346),
+ FRAC_CONST(0.5147604625165012),
+ FRAC_CONST(0.51607499031536663),
+ FRAC_CONST(0.51738830373992906),
+ FRAC_CONST(0.51870039969983495),
+ FRAC_CONST(0.52001127510759604),
+ FRAC_CONST(0.52132092687859566),
+ FRAC_CONST(0.52262935193109661),
+ FRAC_CONST(0.5239365471862486),
+ FRAC_CONST(0.52524250956809471),
+ FRAC_CONST(0.52654723600357944),
+ FRAC_CONST(0.52785072342255523),
+ FRAC_CONST(0.52915296875779061),
+ FRAC_CONST(0.53045396894497632),
+ FRAC_CONST(0.53175372092273332),
+ FRAC_CONST(0.53305222163261945),
+ FRAC_CONST(0.53434946801913752),
+ FRAC_CONST(0.53564545702974109),
+ FRAC_CONST(0.53694018561484291),
+ FRAC_CONST(0.5382336507278217),
+ FRAC_CONST(0.53952584932502889),
+ FRAC_CONST(0.54081677836579667),
+ FRAC_CONST(0.54210643481244392),
+ FRAC_CONST(0.5433948156302848),
+ FRAC_CONST(0.54468191778763453),
+ FRAC_CONST(0.54596773825581757),
+ FRAC_CONST(0.54725227400917409),
+ FRAC_CONST(0.54853552202506739),
+ FRAC_CONST(0.54981747928389091),
+ FRAC_CONST(0.55109814276907543),
+ FRAC_CONST(0.55237750946709607),
+ FRAC_CONST(0.55365557636747931),
+ FRAC_CONST(0.55493234046281037),
+ FRAC_CONST(0.55620779874873993),
+ FRAC_CONST(0.55748194822399155),
+ FRAC_CONST(0.55875478589036831),
+ FRAC_CONST(0.56002630875276038),
+ FRAC_CONST(0.56129651381915147),
+ FRAC_CONST(0.56256539810062656),
+ FRAC_CONST(0.56383295861137817),
+ FRAC_CONST(0.56509919236871398),
+ FRAC_CONST(0.56636409639306384),
+ FRAC_CONST(0.56762766770798623),
+ FRAC_CONST(0.56888990334017586),
+ FRAC_CONST(0.5701508003194703),
+ FRAC_CONST(0.57141035567885723),
+ FRAC_CONST(0.57266856645448116),
+ FRAC_CONST(0.57392542968565075),
+ FRAC_CONST(0.57518094241484508),
+ FRAC_CONST(0.57643510168772183),
+ FRAC_CONST(0.5776879045531228),
+ FRAC_CONST(0.57893934806308178),
+ FRAC_CONST(0.58018942927283168),
+ FRAC_CONST(0.58143814524081017),
+ FRAC_CONST(0.58268549302866846),
+ FRAC_CONST(0.58393146970127618),
+ FRAC_CONST(0.58517607232673041),
+ FRAC_CONST(0.5864192979763605),
+ FRAC_CONST(0.58766114372473666),
+ FRAC_CONST(0.58890160664967572),
+ FRAC_CONST(0.59014068383224882),
+ FRAC_CONST(0.59137837235678758),
+ FRAC_CONST(0.59261466931089113),
+ FRAC_CONST(0.59384957178543363),
+ FRAC_CONST(0.59508307687456996),
+ FRAC_CONST(0.59631518167574371),
+ FRAC_CONST(0.59754588328969316),
+ FRAC_CONST(0.59877517882045872),
+ FRAC_CONST(0.60000306537538894),
+ FRAC_CONST(0.6012295400651485),
+ FRAC_CONST(0.60245460000372375),
+ FRAC_CONST(0.60367824230843037),
+ FRAC_CONST(0.60490046409991982),
+ FRAC_CONST(0.60612126250218612),
+ FRAC_CONST(0.60734063464257293),
+ FRAC_CONST(0.60855857765177945),
+ FRAC_CONST(0.60977508866386843),
+ FRAC_CONST(0.61099016481627166),
+ FRAC_CONST(0.61220380324979795),
+ FRAC_CONST(0.61341600110863859),
+ FRAC_CONST(0.61462675554037505),
+ FRAC_CONST(0.61583606369598509),
+ FRAC_CONST(0.61704392272984976),
+ FRAC_CONST(0.61825032979976025),
+ FRAC_CONST(0.61945528206692402),
+ FRAC_CONST(0.62065877669597214),
+ FRAC_CONST(0.62186081085496536),
+ FRAC_CONST(0.62306138171540126),
+ FRAC_CONST(0.62426048645222065),
+ FRAC_CONST(0.62545812224381436),
+ FRAC_CONST(0.62665428627202935),
+ FRAC_CONST(0.62784897572217646),
+ FRAC_CONST(0.629042187783036),
+ FRAC_CONST(0.63023391964686437),
+ FRAC_CONST(0.63142416850940186),
+ FRAC_CONST(0.63261293156987741),
+ FRAC_CONST(0.63380020603101728),
+ FRAC_CONST(0.63498598909904946),
+ FRAC_CONST(0.63617027798371217),
+ FRAC_CONST(0.63735306989825913),
+ FRAC_CONST(0.63853436205946679),
+ FRAC_CONST(0.63971415168764045),
+ FRAC_CONST(0.64089243600662138),
+ FRAC_CONST(0.64206921224379254),
+ FRAC_CONST(0.64324447763008585),
+ FRAC_CONST(0.64441822939998838),
+ FRAC_CONST(0.64559046479154869),
+ FRAC_CONST(0.64676118104638392),
+ FRAC_CONST(0.64793037540968534),
+ FRAC_CONST(0.64909804513022595),
+ FRAC_CONST(0.65026418746036585),
+ FRAC_CONST(0.65142879965605982),
+ FRAC_CONST(0.65259187897686244),
+ FRAC_CONST(0.65375342268593606),
+ FRAC_CONST(0.65491342805005603),
+ FRAC_CONST(0.6560718923396176),
+ FRAC_CONST(0.65722881282864254),
+ FRAC_CONST(0.65838418679478505),
+ FRAC_CONST(0.65953801151933866),
+ FRAC_CONST(0.6606902842872423),
+ FRAC_CONST(0.66184100238708687),
+ FRAC_CONST(0.66299016311112147),
+ FRAC_CONST(0.66413776375526001),
+ FRAC_CONST(0.66528380161908718),
+ FRAC_CONST(0.66642827400586524),
+ FRAC_CONST(0.66757117822254031),
+ FRAC_CONST(0.66871251157974798),
+ FRAC_CONST(0.66985227139182102),
+ FRAC_CONST(0.67099045497679422),
+ FRAC_CONST(0.67212705965641173),
+ FRAC_CONST(0.67326208275613297),
+ FRAC_CONST(0.67439552160513905),
+ FRAC_CONST(0.67552737353633852),
+ FRAC_CONST(0.67665763588637495),
+ FRAC_CONST(0.6777863059956315),
+ FRAC_CONST(0.67891338120823841),
+ FRAC_CONST(0.68003885887207893),
+ FRAC_CONST(0.68116273633879543),
+ FRAC_CONST(0.68228501096379557),
+ FRAC_CONST(0.68340568010625868),
+ FRAC_CONST(0.6845247411291423),
+ FRAC_CONST(0.68564219139918747),
+ FRAC_CONST(0.68675802828692589),
+ FRAC_CONST(0.68787224916668555),
+ FRAC_CONST(0.68898485141659704),
+ FRAC_CONST(0.69009583241859995),
+ FRAC_CONST(0.69120518955844845),
+ FRAC_CONST(0.69231292022571822),
+ FRAC_CONST(0.69341902181381176),
+ FRAC_CONST(0.69452349171996552),
+ FRAC_CONST(0.69562632734525487),
+ FRAC_CONST(0.6967275260946012),
+ FRAC_CONST(0.69782708537677729),
+ FRAC_CONST(0.69892500260441415),
+ FRAC_CONST(0.70002127519400625),
+ FRAC_CONST(0.70111590056591866),
+ FRAC_CONST(0.70220887614439187),
+ FRAC_CONST(0.70330019935754873),
+ FRAC_CONST(0.70438986763740041),
+ FRAC_CONST(0.7054778784198521),
+ FRAC_CONST(0.70656422914470951),
+ FRAC_CONST(0.70764891725568435),
+ FRAC_CONST(0.70873194020040065),
+ FRAC_CONST(0.70981329543040084),
+ FRAC_CONST(0.71089298040115168),
+ FRAC_CONST(0.71197099257204999),
+ FRAC_CONST(0.71304732940642923),
+ FRAC_CONST(0.71412198837156471),
+ FRAC_CONST(0.71519496693868001),
+ FRAC_CONST(0.71626626258295312),
+ FRAC_CONST(0.71733587278352173),
+ FRAC_CONST(0.71840379502348972),
+ FRAC_CONST(0.71947002678993299),
+ FRAC_CONST(0.72053456557390527),
+ FRAC_CONST(0.72159740887044366),
+ FRAC_CONST(0.72265855417857561),
+ FRAC_CONST(0.72371799900132339),
+ FRAC_CONST(0.72477574084571128),
+ FRAC_CONST(0.72583177722277037),
+ FRAC_CONST(0.72688610564754497),
+ FRAC_CONST(0.72793872363909862),
+ FRAC_CONST(0.72898962872051931),
+ FRAC_CONST(0.73003881841892615),
+ FRAC_CONST(0.73108629026547423),
+ FRAC_CONST(0.73213204179536129),
+ FRAC_CONST(0.73317607054783274),
+ FRAC_CONST(0.73421837406618817),
+ FRAC_CONST(0.73525894989778673),
+ FRAC_CONST(0.73629779559405306),
+ FRAC_CONST(0.73733490871048279),
+ FRAC_CONST(0.73837028680664851),
+ FRAC_CONST(0.73940392744620576),
+ FRAC_CONST(0.74043582819689802),
+ FRAC_CONST(0.74146598663056329),
+ FRAC_CONST(0.74249440032313918),
+ FRAC_CONST(0.74352106685466912),
+ FRAC_CONST(0.74454598380930725),
+ FRAC_CONST(0.74556914877532543),
+ FRAC_CONST(0.74659055934511731),
+ FRAC_CONST(0.74761021311520515),
+ FRAC_CONST(0.74862810768624533),
+ FRAC_CONST(0.74964424066303348),
+ FRAC_CONST(0.75065860965451059),
+ FRAC_CONST(0.75167121227376843),
+ FRAC_CONST(0.75268204613805523),
+ FRAC_CONST(0.75369110886878121),
+ FRAC_CONST(0.75469839809152439),
+ FRAC_CONST(0.75570391143603588),
+ FRAC_CONST(0.75670764653624567),
+ FRAC_CONST(0.75770960103026808),
+ FRAC_CONST(0.75870977256040739),
+ FRAC_CONST(0.75970815877316344),
+ FRAC_CONST(0.76070475731923692),
+ FRAC_CONST(0.76169956585353527),
+ FRAC_CONST(0.76269258203517787),
+ FRAC_CONST(0.76368380352750187),
+ FRAC_CONST(0.76467322799806714),
+ FRAC_CONST(0.76566085311866239),
+ FRAC_CONST(0.76664667656531038),
+ FRAC_CONST(0.76763069601827327),
+ FRAC_CONST(0.76861290916205827),
+ FRAC_CONST(0.76959331368542294),
+ FRAC_CONST(0.7705719072813807),
+ FRAC_CONST(0.7715486876472063),
+ FRAC_CONST(0.77252365248444133),
+ FRAC_CONST(0.77349679949889905),
+ FRAC_CONST(0.77446812640067086),
+ FRAC_CONST(0.77543763090413043),
+ FRAC_CONST(0.77640531072794039),
+ FRAC_CONST(0.7773711635950562),
+ FRAC_CONST(0.77833518723273309),
+ FRAC_CONST(0.7792973793725303),
+ FRAC_CONST(0.78025773775031659),
+ FRAC_CONST(0.78121626010627609),
+ FRAC_CONST(0.7821729441849129),
+ FRAC_CONST(0.78312778773505731),
+ FRAC_CONST(0.78408078850986995),
+ FRAC_CONST(0.78503194426684808),
+ FRAC_CONST(0.78598125276783015),
+ FRAC_CONST(0.7869287117790017),
+ FRAC_CONST(0.78787431907090011),
+ FRAC_CONST(0.78881807241842017),
+ FRAC_CONST(0.78975996960081907),
+ FRAC_CONST(0.79070000840172161),
+ FRAC_CONST(0.79163818660912577),
+ FRAC_CONST(0.79257450201540758),
+ FRAC_CONST(0.79350895241732666),
+ FRAC_CONST(0.79444153561603059),
+ FRAC_CONST(0.79537224941706119),
+ FRAC_CONST(0.79630109163035911),
+ FRAC_CONST(0.7972280600702687),
+ FRAC_CONST(0.79815315255554375),
+ FRAC_CONST(0.79907636690935235),
+ FRAC_CONST(0.79999770095928191),
+ FRAC_CONST(0.8009171525373443),
+ FRAC_CONST(0.80183471947998131),
+ FRAC_CONST(0.80275039962806916),
+ FRAC_CONST(0.80366419082692409),
+ FRAC_CONST(0.804576090926307),
+ FRAC_CONST(0.80548609778042912),
+ FRAC_CONST(0.80639420924795624),
+ FRAC_CONST(0.80730042319201445),
+ FRAC_CONST(0.80820473748019472),
+ FRAC_CONST(0.80910714998455813),
+ FRAC_CONST(0.81000765858164114),
+ FRAC_CONST(0.81090626115245967),
+ FRAC_CONST(0.81180295558251536),
+ FRAC_CONST(0.81269773976179949),
+ FRAC_CONST(0.81359061158479851),
+ FRAC_CONST(0.81448156895049861),
+ FRAC_CONST(0.81537060976239129),
+ FRAC_CONST(0.81625773192847739),
+ FRAC_CONST(0.81714293336127297),
+ FRAC_CONST(0.81802621197781344),
+ FRAC_CONST(0.81890756569965895),
+ FRAC_CONST(0.81978699245289899),
+ FRAC_CONST(0.82066449016815746),
+ FRAC_CONST(0.82154005678059761),
+ FRAC_CONST(0.82241369022992639),
+ FRAC_CONST(0.82328538846040011),
+ FRAC_CONST(0.82415514942082857),
+ FRAC_CONST(0.82502297106458022),
+ FRAC_CONST(0.82588885134958678),
+ FRAC_CONST(0.82675278823834852),
+ FRAC_CONST(0.8276147796979384),
+ FRAC_CONST(0.82847482370000713),
+ FRAC_CONST(0.82933291822078825),
+ FRAC_CONST(0.83018906124110237),
+ FRAC_CONST(0.83104325074636232),
+ FRAC_CONST(0.83189548472657759),
+ FRAC_CONST(0.83274576117635946),
+ FRAC_CONST(0.83359407809492514),
+ FRAC_CONST(0.83444043348610319),
+ FRAC_CONST(0.83528482535833737),
+ FRAC_CONST(0.83612725172469216),
+ FRAC_CONST(0.83696771060285702),
+ FRAC_CONST(0.83780620001515094),
+ FRAC_CONST(0.8386427179885273),
+ FRAC_CONST(0.83947726255457855),
+ FRAC_CONST(0.84030983174954077),
+ FRAC_CONST(0.84114042361429808),
+ FRAC_CONST(0.84196903619438768),
+ FRAC_CONST(0.84279566754000412),
+ FRAC_CONST(0.84362031570600404),
+ FRAC_CONST(0.84444297875191066),
+ FRAC_CONST(0.84526365474191822),
+ FRAC_CONST(0.84608234174489694),
+ FRAC_CONST(0.84689903783439735),
+ FRAC_CONST(0.84771374108865427),
+ FRAC_CONST(0.84852644959059265),
+ FRAC_CONST(0.84933716142783067),
+ FRAC_CONST(0.85014587469268521),
+ FRAC_CONST(0.85095258748217573),
+ FRAC_CONST(0.85175729789802912),
+ FRAC_CONST(0.85256000404668397),
+ FRAC_CONST(0.85336070403929543),
+ FRAC_CONST(0.85415939599173873),
+ FRAC_CONST(0.85495607802461482),
+ FRAC_CONST(0.85575074826325392),
+ FRAC_CONST(0.85654340483771996),
+ FRAC_CONST(0.85733404588281559),
+ FRAC_CONST(0.85812266953808602),
+ FRAC_CONST(0.8589092739478239),
+ FRAC_CONST(0.85969385726107261),
+ FRAC_CONST(0.86047641763163207),
+ FRAC_CONST(0.86125695321806206),
+ FRAC_CONST(0.86203546218368721),
+ FRAC_CONST(0.86281194269660033),
+ FRAC_CONST(0.86358639292966799),
+ FRAC_CONST(0.86435881106053403),
+ FRAC_CONST(0.86512919527162369),
+ FRAC_CONST(0.86589754375014882),
+ FRAC_CONST(0.86666385468811102),
+ FRAC_CONST(0.86742812628230692),
+ FRAC_CONST(0.86819035673433131),
+ FRAC_CONST(0.86895054425058238),
+ FRAC_CONST(0.86970868704226556),
+ FRAC_CONST(0.87046478332539767),
+ FRAC_CONST(0.8712188313208109),
+ FRAC_CONST(0.8719708292541577),
+ FRAC_CONST(0.8727207753559143),
+ FRAC_CONST(0.87346866786138488),
+ FRAC_CONST(0.8742145050107063),
+ FRAC_CONST(0.87495828504885154),
+ FRAC_CONST(0.8757000062256346),
+ FRAC_CONST(0.87643966679571361),
+ FRAC_CONST(0.87717726501859594),
+ FRAC_CONST(0.87791279915864173),
+ FRAC_CONST(0.87864626748506813),
+ FRAC_CONST(0.87937766827195318),
+ FRAC_CONST(0.88010699979824036),
+ FRAC_CONST(0.88083426034774204),
+ FRAC_CONST(0.88155944820914378),
+ FRAC_CONST(0.8822825616760086),
+ FRAC_CONST(0.88300359904678072),
+ FRAC_CONST(0.88372255862478966),
+ FRAC_CONST(0.8844394387182537),
+ FRAC_CONST(0.88515423764028511),
+ FRAC_CONST(0.88586695370889279),
+ FRAC_CONST(0.88657758524698704),
+ FRAC_CONST(0.88728613058238315),
+ FRAC_CONST(0.88799258804780556),
+ FRAC_CONST(0.88869695598089171),
+ FRAC_CONST(0.88939923272419552),
+ FRAC_CONST(0.89009941662519221),
+ FRAC_CONST(0.89079750603628149),
+ FRAC_CONST(0.89149349931479138),
+ FRAC_CONST(0.89218739482298248),
+ FRAC_CONST(0.89287919092805168),
+ FRAC_CONST(0.89356888600213602),
+ FRAC_CONST(0.89425647842231604),
+ FRAC_CONST(0.89494196657062075),
+ FRAC_CONST(0.89562534883403),
+ FRAC_CONST(0.89630662360447966),
+ FRAC_CONST(0.89698578927886397),
+ FRAC_CONST(0.89766284425904075),
+ FRAC_CONST(0.89833778695183419),
+ FRAC_CONST(0.89901061576903907),
+ FRAC_CONST(0.89968132912742393),
+ FRAC_CONST(0.9003499254487356),
+ FRAC_CONST(0.90101640315970233),
+ FRAC_CONST(0.90168076069203773),
+ FRAC_CONST(0.9023429964824442),
+ FRAC_CONST(0.90300310897261704),
+ FRAC_CONST(0.90366109660924798),
+ FRAC_CONST(0.90431695784402832),
+ FRAC_CONST(0.90497069113365325),
+ FRAC_CONST(0.90562229493982516),
+ FRAC_CONST(0.90627176772925766),
+ FRAC_CONST(0.90691910797367803),
+ FRAC_CONST(0.90756431414983252),
+ FRAC_CONST(0.9082073847394887),
+ FRAC_CONST(0.90884831822943912),
+ FRAC_CONST(0.90948711311150543),
+ FRAC_CONST(0.91012376788254157),
+ FRAC_CONST(0.91075828104443757),
+ FRAC_CONST(0.91139065110412232),
+ FRAC_CONST(0.91202087657356823),
+ FRAC_CONST(0.9126489559697939),
+ FRAC_CONST(0.91327488781486776),
+ FRAC_CONST(0.91389867063591168),
+ FRAC_CONST(0.91452030296510445),
+ FRAC_CONST(0.91513978333968526),
+ FRAC_CONST(0.91575711030195672),
+ FRAC_CONST(0.91637228239928914),
+ FRAC_CONST(0.91698529818412289),
+ FRAC_CONST(0.91759615621397295),
+ FRAC_CONST(0.9182048550514309),
+ FRAC_CONST(0.91881139326416994),
+ FRAC_CONST(0.91941576942494696),
+ FRAC_CONST(0.92001798211160657),
+ FRAC_CONST(0.92061802990708386),
+ FRAC_CONST(0.92121591139940873),
+ FRAC_CONST(0.92181162518170812),
+ FRAC_CONST(0.92240516985220988),
+ FRAC_CONST(0.92299654401424625),
+ FRAC_CONST(0.92358574627625656),
+ FRAC_CONST(0.9241727752517912),
+ FRAC_CONST(0.92475762955951391),
+ FRAC_CONST(0.9253403078232062),
+ FRAC_CONST(0.92592080867176996),
+ FRAC_CONST(0.92649913073923051),
+ FRAC_CONST(0.9270752726647401),
+ FRAC_CONST(0.92764923309258118),
+ FRAC_CONST(0.92822101067216944),
+ FRAC_CONST(0.92879060405805702),
+ FRAC_CONST(0.9293580119099355),
+ FRAC_CONST(0.92992323289263956),
+ FRAC_CONST(0.93048626567614978),
+ FRAC_CONST(0.93104710893559517),
+ FRAC_CONST(0.93160576135125783),
+ FRAC_CONST(0.93216222160857432),
+ FRAC_CONST(0.93271648839814025),
+ FRAC_CONST(0.93326856041571205),
+ FRAC_CONST(0.93381843636221096),
+ FRAC_CONST(0.9343661149437259),
+ FRAC_CONST(0.93491159487151609),
+ FRAC_CONST(0.93545487486201462),
+ FRAC_CONST(0.9359959536368313),
+ FRAC_CONST(0.9365348299227555),
+ FRAC_CONST(0.93707150245175919),
+ FRAC_CONST(0.93760596996099999),
+ FRAC_CONST(0.93813823119282436),
+ FRAC_CONST(0.93866828489477017),
+ FRAC_CONST(0.9391961298195699),
+ FRAC_CONST(0.93972176472515334),
+ FRAC_CONST(0.94024518837465088),
+ FRAC_CONST(0.94076639953639607),
+ FRAC_CONST(0.94128539698392866),
+ FRAC_CONST(0.94180217949599765),
+ FRAC_CONST(0.94231674585656378),
+ FRAC_CONST(0.94282909485480271),
+ FRAC_CONST(0.94333922528510772),
+ FRAC_CONST(0.94384713594709269),
+ FRAC_CONST(0.94435282564559475),
+ FRAC_CONST(0.94485629319067721),
+ FRAC_CONST(0.94535753739763229),
+ FRAC_CONST(0.94585655708698391),
+ FRAC_CONST(0.94635335108449059),
+ FRAC_CONST(0.946847918221148),
+ FRAC_CONST(0.94734025733319194),
+ FRAC_CONST(0.94783036726210101),
+ FRAC_CONST(0.94831824685459909),
+ FRAC_CONST(0.94880389496265838),
+ FRAC_CONST(0.94928731044350201),
+ FRAC_CONST(0.94976849215960668),
+ FRAC_CONST(0.95024743897870523),
+ FRAC_CONST(0.95072414977378961),
+ FRAC_CONST(0.95119862342311323),
+ FRAC_CONST(0.95167085881019386),
+ FRAC_CONST(0.95214085482381583),
+ FRAC_CONST(0.95260861035803324),
+ FRAC_CONST(0.9530741243121722),
+ FRAC_CONST(0.95353739559083328),
+ FRAC_CONST(0.95399842310389449),
+ FRAC_CONST(0.95445720576651349),
+ FRAC_CONST(0.95491374249913052),
+ FRAC_CONST(0.95536803222747024),
+ FRAC_CONST(0.95582007388254542),
+ FRAC_CONST(0.95626986640065814),
+ FRAC_CONST(0.95671740872340305),
+ FRAC_CONST(0.9571626997976701),
+ FRAC_CONST(0.95760573857564624),
+ FRAC_CONST(0.9580465240148186),
+ FRAC_CONST(0.9584850550779761),
+ FRAC_CONST(0.95892133073321306),
+ FRAC_CONST(0.95935534995393079),
+ FRAC_CONST(0.9597871117188399),
+ FRAC_CONST(0.96021661501196343),
+ FRAC_CONST(0.96064385882263847),
+ FRAC_CONST(0.96106884214551935),
+ FRAC_CONST(0.961491563980579),
+ FRAC_CONST(0.9619120233331121),
+ FRAC_CONST(0.9623302192137374),
+ FRAC_CONST(0.96274615063839941),
+ FRAC_CONST(0.96315981662837136),
+ FRAC_CONST(0.96357121621025721),
+ FRAC_CONST(0.96398034841599411),
+ FRAC_CONST(0.96438721228285429),
+ FRAC_CONST(0.9647918068534479),
+ FRAC_CONST(0.96519413117572472),
+ FRAC_CONST(0.96559418430297683),
+ FRAC_CONST(0.96599196529384057),
+ FRAC_CONST(0.96638747321229879),
+ FRAC_CONST(0.96678070712768327),
+ FRAC_CONST(0.96717166611467664),
+ FRAC_CONST(0.96756034925331436),
+ FRAC_CONST(0.9679467556289878),
+ FRAC_CONST(0.9683308843324453),
+ FRAC_CONST(0.96871273445979478),
+ FRAC_CONST(0.9690923051125061),
+ FRAC_CONST(0.96946959539741295),
+ FRAC_CONST(0.96984460442671483),
+ FRAC_CONST(0.97021733131797916),
+ FRAC_CONST(0.97058777519414363),
+ FRAC_CONST(0.97095593518351797),
+ FRAC_CONST(0.97132181041978616),
+ FRAC_CONST(0.97168540004200854),
+ FRAC_CONST(0.9720467031946235),
+ FRAC_CONST(0.97240571902744977),
+ FRAC_CONST(0.97276244669568857),
+ FRAC_CONST(0.97311688535992513),
+ FRAC_CONST(0.97346903418613095),
+ FRAC_CONST(0.9738188923456661),
+ FRAC_CONST(0.97416645901528032),
+ FRAC_CONST(0.97451173337711572),
+ FRAC_CONST(0.97485471461870843),
+ FRAC_CONST(0.97519540193299037),
+ FRAC_CONST(0.97553379451829136),
+ FRAC_CONST(0.97586989157834103),
+ FRAC_CONST(0.97620369232227056),
+ FRAC_CONST(0.97653519596461447),
+ FRAC_CONST(0.97686440172531264),
+ FRAC_CONST(0.97719130882971228),
+ FRAC_CONST(0.97751591650856928),
+ FRAC_CONST(0.97783822399805043),
+ FRAC_CONST(0.97815823053973505),
+ FRAC_CONST(0.97847593538061683),
+ FRAC_CONST(0.97879133777310567),
+ FRAC_CONST(0.97910443697502925),
+ FRAC_CONST(0.97941523224963478),
+ FRAC_CONST(0.97972372286559117),
+ FRAC_CONST(0.98002990809698998),
+ FRAC_CONST(0.98033378722334796),
+ FRAC_CONST(0.98063535952960812),
+ FRAC_CONST(0.98093462430614164),
+ FRAC_CONST(0.98123158084874973),
+ FRAC_CONST(0.98152622845866466),
+ FRAC_CONST(0.9818185664425525),
+ FRAC_CONST(0.98210859411251361),
+ FRAC_CONST(0.98239631078608469),
+ FRAC_CONST(0.98268171578624086),
+ FRAC_CONST(0.98296480844139644),
+ FRAC_CONST(0.98324558808540707),
+ FRAC_CONST(0.98352405405757126),
+ FRAC_CONST(0.98380020570263149),
+ FRAC_CONST(0.98407404237077645),
+ FRAC_CONST(0.9843455634176419),
+ FRAC_CONST(0.9846147682043126),
+ FRAC_CONST(0.9848816560973237),
+ FRAC_CONST(0.98514622646866223),
+ FRAC_CONST(0.98540847869576842),
+ FRAC_CONST(0.98566841216153755),
+ FRAC_CONST(0.98592602625432113),
+ FRAC_CONST(0.98618132036792827),
+ FRAC_CONST(0.98643429390162707),
+ FRAC_CONST(0.98668494626014669),
+ FRAC_CONST(0.98693327685367771),
+ FRAC_CONST(0.98717928509787434),
+ FRAC_CONST(0.98742297041385541),
+ FRAC_CONST(0.98766433222820571),
+ FRAC_CONST(0.98790336997297779),
+ FRAC_CONST(0.98814008308569257),
+ FRAC_CONST(0.98837447100934128),
+ FRAC_CONST(0.98860653319238645),
+ FRAC_CONST(0.98883626908876354),
+ FRAC_CONST(0.98906367815788154),
+ FRAC_CONST(0.98928875986462517),
+ FRAC_CONST(0.98951151367935519),
+ FRAC_CONST(0.98973193907791057),
+ FRAC_CONST(0.98995003554160899),
+ FRAC_CONST(0.9901658025572484),
+ FRAC_CONST(0.99037923961710816),
+ FRAC_CONST(0.99059034621895015),
+ FRAC_CONST(0.99079912186602037),
+ FRAC_CONST(0.99100556606704937),
+ FRAC_CONST(0.99120967833625406),
+ FRAC_CONST(0.99141145819333854),
+ FRAC_CONST(0.99161090516349537),
+ FRAC_CONST(0.99180801877740643),
+ FRAC_CONST(0.99200279857124452),
+ FRAC_CONST(0.99219524408667392),
+ FRAC_CONST(0.99238535487085167),
+ FRAC_CONST(0.99257313047642881),
+ FRAC_CONST(0.99275857046155114),
+ FRAC_CONST(0.99294167438986047),
+ FRAC_CONST(0.99312244183049558),
+ FRAC_CONST(0.99330087235809328),
+ FRAC_CONST(0.99347696555278919),
+ FRAC_CONST(0.99365072100021912),
+ FRAC_CONST(0.99382213829151966),
+ FRAC_CONST(0.99399121702332938),
+ FRAC_CONST(0.99415795679778973),
+ FRAC_CONST(0.99432235722254581),
+ FRAC_CONST(0.9944844179107476),
+ FRAC_CONST(0.99464413848105071),
+ FRAC_CONST(0.99480151855761711),
+ FRAC_CONST(0.99495655777011638),
+ FRAC_CONST(0.99510925575372611),
+ FRAC_CONST(0.99525961214913339),
+ FRAC_CONST(0.9954076266025349),
+ FRAC_CONST(0.99555329876563847),
+ FRAC_CONST(0.99569662829566352),
+ FRAC_CONST(0.99583761485534161),
+ FRAC_CONST(0.99597625811291779),
+ FRAC_CONST(0.99611255774215113),
+ FRAC_CONST(0.99624651342231552),
+ FRAC_CONST(0.99637812483820021),
+ FRAC_CONST(0.99650739168011082),
+ FRAC_CONST(0.9966343136438699),
+ FRAC_CONST(0.996758890430818),
+ FRAC_CONST(0.99688112174781385),
+ FRAC_CONST(0.99700100730723529),
+ FRAC_CONST(0.99711854682697998),
+ FRAC_CONST(0.99723374003046616),
+ FRAC_CONST(0.99734658664663323),
+ FRAC_CONST(0.99745708640994191),
+ FRAC_CONST(0.99756523906037575),
+ FRAC_CONST(0.997671044343441),
+ FRAC_CONST(0.99777450201016782),
+ FRAC_CONST(0.99787561181711015),
+ FRAC_CONST(0.99797437352634699),
+ FRAC_CONST(0.99807078690548234),
+ FRAC_CONST(0.99816485172764624),
+ FRAC_CONST(0.99825656777149518),
+ FRAC_CONST(0.99834593482121237),
+ FRAC_CONST(0.99843295266650844),
+ FRAC_CONST(0.99851762110262221),
+ FRAC_CONST(0.99859993993032037),
+ FRAC_CONST(0.99867990895589909),
+ FRAC_CONST(0.99875752799118334),
+ FRAC_CONST(0.99883279685352799),
+ FRAC_CONST(0.99890571536581829),
+ FRAC_CONST(0.99897628335646982),
+ FRAC_CONST(0.99904450065942929),
+ FRAC_CONST(0.99911036711417489),
+ FRAC_CONST(0.99917388256571638),
+ FRAC_CONST(0.99923504686459585),
+ FRAC_CONST(0.99929385986688779),
+ FRAC_CONST(0.99935032143419944),
+ FRAC_CONST(0.9994044314336713),
+ FRAC_CONST(0.99945618973797734),
+ FRAC_CONST(0.99950559622532531),
+ FRAC_CONST(0.99955265077945699),
+ FRAC_CONST(0.99959735328964838),
+ FRAC_CONST(0.9996397036507102),
+ FRAC_CONST(0.99967970176298793),
+ FRAC_CONST(0.99971734753236219),
+ FRAC_CONST(0.99975264087024884),
+ FRAC_CONST(0.99978558169359921),
+ FRAC_CONST(0.99981616992490041),
+ FRAC_CONST(0.99984440549217524),
+ FRAC_CONST(0.99987028832898295),
+ FRAC_CONST(0.99989381837441849),
+ FRAC_CONST(0.99991499557311347),
+ FRAC_CONST(0.999933819875236),
+ FRAC_CONST(0.99995029123649048),
+ FRAC_CONST(0.99996440961811828),
+ FRAC_CONST(0.99997617498689761),
+ FRAC_CONST(0.9999855873151432),
+ FRAC_CONST(0.99999264658070719),
+ FRAC_CONST(0.99999735276697821),
+ FRAC_CONST(0.99999970586288223)
};
-real_t sine_long_960[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const real_t sine_long_960[] =
{
- COEF_CONST(0.0008181230),
- COEF_CONST(0.0024543669),
- COEF_CONST(0.0040906041),
- COEF_CONST(0.0057268305),
- COEF_CONST(0.0073630415),
- COEF_CONST(0.0089992327),
- COEF_CONST(0.0106353999),
- COEF_CONST(0.0122715386),
- COEF_CONST(0.0139076445),
- COEF_CONST(0.0155437131),
- COEF_CONST(0.0171797401),
- COEF_CONST(0.0188157211),
- COEF_CONST(0.0204516518),
- COEF_CONST(0.0220875276),
- COEF_CONST(0.0237233444),
- COEF_CONST(0.0253590976),
- COEF_CONST(0.0269947829),
- COEF_CONST(0.0286303960),
- COEF_CONST(0.0302659324),
- COEF_CONST(0.0319013878),
- COEF_CONST(0.0335367578),
- COEF_CONST(0.0351720379),
- COEF_CONST(0.0368072240),
- COEF_CONST(0.0384423114),
- COEF_CONST(0.0400772960),
- COEF_CONST(0.0417121732),
- COEF_CONST(0.0433469388),
- COEF_CONST(0.0449815883),
- COEF_CONST(0.0466161174),
- COEF_CONST(0.0482505217),
- COEF_CONST(0.0498847968),
- COEF_CONST(0.0515189384),
- COEF_CONST(0.0531529420),
- COEF_CONST(0.0547868033),
- COEF_CONST(0.0564205179),
- COEF_CONST(0.0580540815),
- COEF_CONST(0.0596874897),
- COEF_CONST(0.0613207380),
- COEF_CONST(0.0629538222),
- COEF_CONST(0.0645867378),
- COEF_CONST(0.0662194805),
- COEF_CONST(0.0678520459),
- COEF_CONST(0.0694844297),
- COEF_CONST(0.0711166274),
- COEF_CONST(0.0727486347),
- COEF_CONST(0.0743804473),
- COEF_CONST(0.0760120607),
- COEF_CONST(0.0776434706),
- COEF_CONST(0.0792746727),
- COEF_CONST(0.0809056625),
- COEF_CONST(0.0825364356),
- COEF_CONST(0.0841669879),
- COEF_CONST(0.0857973147),
- COEF_CONST(0.0874274119),
- COEF_CONST(0.0890572750),
- COEF_CONST(0.0906868996),
- COEF_CONST(0.0923162815),
- COEF_CONST(0.0939454162),
- COEF_CONST(0.0955742994),
- COEF_CONST(0.0972029267),
- COEF_CONST(0.0988312938),
- COEF_CONST(0.1004593962),
- COEF_CONST(0.1020872297),
- COEF_CONST(0.1037147899),
- COEF_CONST(0.1053420724),
- COEF_CONST(0.1069690729),
- COEF_CONST(0.1085957870),
- COEF_CONST(0.1102222103),
- COEF_CONST(0.1118483386),
- COEF_CONST(0.1134741674),
- COEF_CONST(0.1150996924),
- COEF_CONST(0.1167249092),
- COEF_CONST(0.1183498135),
- COEF_CONST(0.1199744010),
- COEF_CONST(0.1215986673),
- COEF_CONST(0.1232226080),
- COEF_CONST(0.1248462188),
- COEF_CONST(0.1264694953),
- COEF_CONST(0.1280924333),
- COEF_CONST(0.1297150283),
- COEF_CONST(0.1313372760),
- COEF_CONST(0.1329591721),
- COEF_CONST(0.1345807122),
- COEF_CONST(0.1362018920),
- COEF_CONST(0.1378227072),
- COEF_CONST(0.1394431534),
- COEF_CONST(0.1410632262),
- COEF_CONST(0.1426829214),
- COEF_CONST(0.1443022345),
- COEF_CONST(0.1459211613),
- COEF_CONST(0.1475396975),
- COEF_CONST(0.1491578386),
- COEF_CONST(0.1507755804),
- COEF_CONST(0.1523929185),
- COEF_CONST(0.1540098486),
- COEF_CONST(0.1556263664),
- COEF_CONST(0.1572424676),
- COEF_CONST(0.1588581477),
- COEF_CONST(0.1604734026),
- COEF_CONST(0.1620882278),
- COEF_CONST(0.1637026190),
- COEF_CONST(0.1653165720),
- COEF_CONST(0.1669300823),
- COEF_CONST(0.1685431457),
- COEF_CONST(0.1701557579),
- COEF_CONST(0.1717679146),
- COEF_CONST(0.1733796113),
- COEF_CONST(0.1749908439),
- COEF_CONST(0.1766016080),
- COEF_CONST(0.1782118992),
- COEF_CONST(0.1798217134),
- COEF_CONST(0.1814310460),
- COEF_CONST(0.1830398930),
- COEF_CONST(0.1846482499),
- COEF_CONST(0.1862561124),
- COEF_CONST(0.1878634763),
- COEF_CONST(0.1894703372),
- COEF_CONST(0.1910766908),
- COEF_CONST(0.1926825329),
- COEF_CONST(0.1942878591),
- COEF_CONST(0.1958926651),
- COEF_CONST(0.1974969467),
- COEF_CONST(0.1991006995),
- COEF_CONST(0.2007039192),
- COEF_CONST(0.2023066016),
- COEF_CONST(0.2039087424),
- COEF_CONST(0.2055103372),
- COEF_CONST(0.2071113819),
- COEF_CONST(0.2087118720),
- COEF_CONST(0.2103118034),
- COEF_CONST(0.2119111716),
- COEF_CONST(0.2135099726),
- COEF_CONST(0.2151082019),
- COEF_CONST(0.2167058553),
- COEF_CONST(0.2183029285),
- COEF_CONST(0.2198994172),
- COEF_CONST(0.2214953172),
- COEF_CONST(0.2230906242),
- COEF_CONST(0.2246853339),
- COEF_CONST(0.2262794421),
- COEF_CONST(0.2278729444),
- COEF_CONST(0.2294658367),
- COEF_CONST(0.2310581146),
- COEF_CONST(0.2326497739),
- COEF_CONST(0.2342408103),
- COEF_CONST(0.2358312196),
- COEF_CONST(0.2374209975),
- COEF_CONST(0.2390101398),
- COEF_CONST(0.2405986421),
- COEF_CONST(0.2421865003),
- COEF_CONST(0.2437737101),
- COEF_CONST(0.2453602672),
- COEF_CONST(0.2469461675),
- COEF_CONST(0.2485314066),
- COEF_CONST(0.2501159802),
- COEF_CONST(0.2516998843),
- COEF_CONST(0.2532831145),
- COEF_CONST(0.2548656665),
- COEF_CONST(0.2564475362),
- COEF_CONST(0.2580287194),
- COEF_CONST(0.2596092117),
- COEF_CONST(0.2611890089),
- COEF_CONST(0.2627681069),
- COEF_CONST(0.2643465014),
- COEF_CONST(0.2659241881),
- COEF_CONST(0.2675011628),
- COEF_CONST(0.2690774214),
- COEF_CONST(0.2706529596),
- COEF_CONST(0.2722277732),
- COEF_CONST(0.2738018579),
- COEF_CONST(0.2753752096),
- COEF_CONST(0.2769478240),
- COEF_CONST(0.2785196969),
- COEF_CONST(0.2800908242),
- COEF_CONST(0.2816612016),
- COEF_CONST(0.2832308248),
- COEF_CONST(0.2847996898),
- COEF_CONST(0.2863677923),
- COEF_CONST(0.2879351281),
- COEF_CONST(0.2895016930),
- COEF_CONST(0.2910674829),
- COEF_CONST(0.2926324934),
- COEF_CONST(0.2941967205),
- COEF_CONST(0.2957601599),
- COEF_CONST(0.2973228075),
- COEF_CONST(0.2988846591),
- COEF_CONST(0.3004457105),
- COEF_CONST(0.3020059575),
- COEF_CONST(0.3035653959),
- COEF_CONST(0.3051240216),
- COEF_CONST(0.3066818303),
- COEF_CONST(0.3082388180),
- COEF_CONST(0.3097949805),
- COEF_CONST(0.3113503135),
- COEF_CONST(0.3129048130),
- COEF_CONST(0.3144584747),
- COEF_CONST(0.3160112945),
- COEF_CONST(0.3175632683),
- COEF_CONST(0.3191143918),
- COEF_CONST(0.3206646610),
- COEF_CONST(0.3222140717),
- COEF_CONST(0.3237626197),
- COEF_CONST(0.3253103009),
- COEF_CONST(0.3268571111),
- COEF_CONST(0.3284030463),
- COEF_CONST(0.3299481022),
- COEF_CONST(0.3314922747),
- COEF_CONST(0.3330355597),
- COEF_CONST(0.3345779531),
- COEF_CONST(0.3361194508),
- COEF_CONST(0.3376600485),
- COEF_CONST(0.3391997422),
- COEF_CONST(0.3407385278),
- COEF_CONST(0.3422764011),
- COEF_CONST(0.3438133581),
- COEF_CONST(0.3453493945),
- COEF_CONST(0.3468845064),
- COEF_CONST(0.3484186895),
- COEF_CONST(0.3499519398),
- COEF_CONST(0.3514842532),
- COEF_CONST(0.3530156256),
- COEF_CONST(0.3545460528),
- COEF_CONST(0.3560755308),
- COEF_CONST(0.3576040555),
- COEF_CONST(0.3591316228),
- COEF_CONST(0.3606582285),
- COEF_CONST(0.3621838687),
- COEF_CONST(0.3637085392),
- COEF_CONST(0.3652322359),
- COEF_CONST(0.3667549548),
- COEF_CONST(0.3682766918),
- COEF_CONST(0.3697974428),
- COEF_CONST(0.3713172038),
- COEF_CONST(0.3728359706),
- COEF_CONST(0.3743537392),
- COEF_CONST(0.3758705056),
- COEF_CONST(0.3773862656),
- COEF_CONST(0.3789010153),
- COEF_CONST(0.3804147505),
- COEF_CONST(0.3819274673),
- COEF_CONST(0.3834391615),
- COEF_CONST(0.3849498291),
- COEF_CONST(0.3864594661),
- COEF_CONST(0.3879680685),
- COEF_CONST(0.3894756321),
- COEF_CONST(0.3909821530),
- COEF_CONST(0.3924876271),
- COEF_CONST(0.3939920504),
- COEF_CONST(0.3954954189),
- COEF_CONST(0.3969977285),
- COEF_CONST(0.3984989752),
- COEF_CONST(0.3999991550),
- COEF_CONST(0.4014982640),
- COEF_CONST(0.4029962979),
- COEF_CONST(0.4044932530),
- COEF_CONST(0.4059891250),
- COEF_CONST(0.4074839102),
- COEF_CONST(0.4089776043),
- COEF_CONST(0.4104702036),
- COEF_CONST(0.4119617038),
- COEF_CONST(0.4134521011),
- COEF_CONST(0.4149413915),
- COEF_CONST(0.4164295710),
- COEF_CONST(0.4179166355),
- COEF_CONST(0.4194025812),
- COEF_CONST(0.4208874040),
- COEF_CONST(0.4223710999),
- COEF_CONST(0.4238536651),
- COEF_CONST(0.4253350954),
- COEF_CONST(0.4268153870),
- COEF_CONST(0.4282945359),
- COEF_CONST(0.4297725381),
- COEF_CONST(0.4312493897),
- COEF_CONST(0.4327250867),
- COEF_CONST(0.4341996252),
- COEF_CONST(0.4356730012),
- COEF_CONST(0.4371452107),
- COEF_CONST(0.4386162499),
- COEF_CONST(0.4400861148),
- COEF_CONST(0.4415548014),
- COEF_CONST(0.4430223059),
- COEF_CONST(0.4444886242),
- COEF_CONST(0.4459537525),
- COEF_CONST(0.4474176869),
- COEF_CONST(0.4488804234),
- COEF_CONST(0.4503419581),
- COEF_CONST(0.4518022871),
- COEF_CONST(0.4532614065),
- COEF_CONST(0.4547193124),
- COEF_CONST(0.4561760009),
- COEF_CONST(0.4576314680),
- COEF_CONST(0.4590857100),
- COEF_CONST(0.4605387228),
- COEF_CONST(0.4619905026),
- COEF_CONST(0.4634410455),
- COEF_CONST(0.4648903477),
- COEF_CONST(0.4663384052),
- COEF_CONST(0.4677852142),
- COEF_CONST(0.4692307707),
- COEF_CONST(0.4706750710),
- COEF_CONST(0.4721181112),
- COEF_CONST(0.4735598874),
- COEF_CONST(0.4750003957),
- COEF_CONST(0.4764396322),
- COEF_CONST(0.4778775932),
- COEF_CONST(0.4793142748),
- COEF_CONST(0.4807496731),
- COEF_CONST(0.4821837843),
- COEF_CONST(0.4836166046),
- COEF_CONST(0.4850481301),
- COEF_CONST(0.4864783569),
- COEF_CONST(0.4879072813),
- COEF_CONST(0.4893348994),
- COEF_CONST(0.4907612075),
- COEF_CONST(0.4921862016),
- COEF_CONST(0.4936098779),
- COEF_CONST(0.4950322328),
- COEF_CONST(0.4964532623),
- COEF_CONST(0.4978729626),
- COEF_CONST(0.4992913300),
- COEF_CONST(0.5007083606),
- COEF_CONST(0.5021240507),
- COEF_CONST(0.5035383964),
- COEF_CONST(0.5049513940),
- COEF_CONST(0.5063630397),
- COEF_CONST(0.5077733298),
- COEF_CONST(0.5091822603),
- COEF_CONST(0.5105898276),
- COEF_CONST(0.5119960280),
- COEF_CONST(0.5134008575),
- COEF_CONST(0.5148043125),
- COEF_CONST(0.5162063893),
- COEF_CONST(0.5176070840),
- COEF_CONST(0.5190063929),
- COEF_CONST(0.5204043123),
- COEF_CONST(0.5218008384),
- COEF_CONST(0.5231959674),
- COEF_CONST(0.5245896958),
- COEF_CONST(0.5259820196),
- COEF_CONST(0.5273729352),
- COEF_CONST(0.5287624389),
- COEF_CONST(0.5301505270),
- COEF_CONST(0.5315371956),
- COEF_CONST(0.5329224412),
- COEF_CONST(0.5343062600),
- COEF_CONST(0.5356886483),
- COEF_CONST(0.5370696023),
- COEF_CONST(0.5384491185),
- COEF_CONST(0.5398271931),
- COEF_CONST(0.5412038224),
- COEF_CONST(0.5425790028),
- COEF_CONST(0.5439527305),
- COEF_CONST(0.5453250019),
- COEF_CONST(0.5466958133),
- COEF_CONST(0.5480651610),
- COEF_CONST(0.5494330413),
- COEF_CONST(0.5507994507),
- COEF_CONST(0.5521643854),
- COEF_CONST(0.5535278418),
- COEF_CONST(0.5548898163),
- COEF_CONST(0.5562503051),
- COEF_CONST(0.5576093047),
- COEF_CONST(0.5589668114),
- COEF_CONST(0.5603228216),
- COEF_CONST(0.5616773317),
- COEF_CONST(0.5630303379),
- COEF_CONST(0.5643818368),
- COEF_CONST(0.5657318246),
- COEF_CONST(0.5670802978),
- COEF_CONST(0.5684272527),
- COEF_CONST(0.5697726858),
- COEF_CONST(0.5711165935),
- COEF_CONST(0.5724589721),
- COEF_CONST(0.5737998180),
- COEF_CONST(0.5751391277),
- COEF_CONST(0.5764768976),
- COEF_CONST(0.5778131241),
- COEF_CONST(0.5791478036),
- COEF_CONST(0.5804809326),
- COEF_CONST(0.5818125074),
- COEF_CONST(0.5831425246),
- COEF_CONST(0.5844709805),
- COEF_CONST(0.5857978716),
- COEF_CONST(0.5871231943),
- COEF_CONST(0.5884469451),
- COEF_CONST(0.5897691205),
- COEF_CONST(0.5910897169),
- COEF_CONST(0.5924087308),
- COEF_CONST(0.5937261586),
- COEF_CONST(0.5950419968),
- COEF_CONST(0.5963562420),
- COEF_CONST(0.5976688905),
- COEF_CONST(0.5989799388),
- COEF_CONST(0.6002893835),
- COEF_CONST(0.6015972211),
- COEF_CONST(0.6029034480),
- COEF_CONST(0.6042080607),
- COEF_CONST(0.6055110558),
- COEF_CONST(0.6068124298),
- COEF_CONST(0.6081121791),
- COEF_CONST(0.6094103003),
- COEF_CONST(0.6107067900),
- COEF_CONST(0.6120016446),
- COEF_CONST(0.6132948607),
- COEF_CONST(0.6145864349),
- COEF_CONST(0.6158763636),
- COEF_CONST(0.6171646434),
- COEF_CONST(0.6184512709),
- COEF_CONST(0.6197362426),
- COEF_CONST(0.6210195550),
- COEF_CONST(0.6223012049),
- COEF_CONST(0.6235811886),
- COEF_CONST(0.6248595028),
- COEF_CONST(0.6261361441),
- COEF_CONST(0.6274111090),
- COEF_CONST(0.6286843942),
- COEF_CONST(0.6299559962),
- COEF_CONST(0.6312259115),
- COEF_CONST(0.6324941370),
- COEF_CONST(0.6337606690),
- COEF_CONST(0.6350255043),
- COEF_CONST(0.6362886394),
- COEF_CONST(0.6375500710),
- COEF_CONST(0.6388097956),
- COEF_CONST(0.6400678100),
- COEF_CONST(0.6413241107),
- COEF_CONST(0.6425786945),
- COEF_CONST(0.6438315578),
- COEF_CONST(0.6450826974),
- COEF_CONST(0.6463321099),
- COEF_CONST(0.6475797920),
- COEF_CONST(0.6488257403),
- COEF_CONST(0.6500699516),
- COEF_CONST(0.6513124223),
- COEF_CONST(0.6525531494),
- COEF_CONST(0.6537921293),
- COEF_CONST(0.6550293589),
- COEF_CONST(0.6562648347),
- COEF_CONST(0.6574985536),
- COEF_CONST(0.6587305121),
- COEF_CONST(0.6599607069),
- COEF_CONST(0.6611891349),
- COEF_CONST(0.6624157927),
- COEF_CONST(0.6636406770),
- COEF_CONST(0.6648637845),
- COEF_CONST(0.6660851120),
- COEF_CONST(0.6673046561),
- COEF_CONST(0.6685224137),
- COEF_CONST(0.6697383815),
- COEF_CONST(0.6709525561),
- COEF_CONST(0.6721649344),
- COEF_CONST(0.6733755132),
- COEF_CONST(0.6745842891),
- COEF_CONST(0.6757912589),
- COEF_CONST(0.6769964195),
- COEF_CONST(0.6781997675),
- COEF_CONST(0.6794012997),
- COEF_CONST(0.6806010131),
- COEF_CONST(0.6817989042),
- COEF_CONST(0.6829949700),
- COEF_CONST(0.6841892071),
- COEF_CONST(0.6853816125),
- COEF_CONST(0.6865721829),
- COEF_CONST(0.6877609152),
- COEF_CONST(0.6889478061),
- COEF_CONST(0.6901328525),
- COEF_CONST(0.6913160512),
- COEF_CONST(0.6924973990),
- COEF_CONST(0.6936768929),
- COEF_CONST(0.6948545295),
- COEF_CONST(0.6960303058),
- COEF_CONST(0.6972042186),
- COEF_CONST(0.6983762648),
- COEF_CONST(0.6995464412),
- COEF_CONST(0.7007147448),
- COEF_CONST(0.7018811723),
- COEF_CONST(0.7030457206),
- COEF_CONST(0.7042083867),
- COEF_CONST(0.7053691674),
- COEF_CONST(0.7065280597),
- COEF_CONST(0.7076850603),
- COEF_CONST(0.7088401663),
- COEF_CONST(0.7099933745),
- COEF_CONST(0.7111446818),
- COEF_CONST(0.7122940851),
- COEF_CONST(0.7134415815),
- COEF_CONST(0.7145871677),
- COEF_CONST(0.7157308408),
- COEF_CONST(0.7168725976),
- COEF_CONST(0.7180124352),
- COEF_CONST(0.7191503504),
- COEF_CONST(0.7202863403),
- COEF_CONST(0.7214204017),
- COEF_CONST(0.7225525317),
- COEF_CONST(0.7236827271),
- COEF_CONST(0.7248109851),
- COEF_CONST(0.7259373025),
- COEF_CONST(0.7270616764),
- COEF_CONST(0.7281841037),
- COEF_CONST(0.7293045814),
- COEF_CONST(0.7304231066),
- COEF_CONST(0.7315396762),
- COEF_CONST(0.7326542872),
- COEF_CONST(0.7337669368),
- COEF_CONST(0.7348776218),
- COEF_CONST(0.7359863393),
- COEF_CONST(0.7370930863),
- COEF_CONST(0.7381978600),
- COEF_CONST(0.7393006572),
- COEF_CONST(0.7404014752),
- COEF_CONST(0.7415003108),
- COEF_CONST(0.7425971612),
- COEF_CONST(0.7436920235),
- COEF_CONST(0.7447848947),
- COEF_CONST(0.7458757719),
- COEF_CONST(0.7469646521),
- COEF_CONST(0.7480515325),
- COEF_CONST(0.7491364101),
- COEF_CONST(0.7502192821),
- COEF_CONST(0.7513001455),
- COEF_CONST(0.7523789975),
- COEF_CONST(0.7534558351),
- COEF_CONST(0.7545306554),
- COEF_CONST(0.7556034557),
- COEF_CONST(0.7566742330),
- COEF_CONST(0.7577429844),
- COEF_CONST(0.7588097072),
- COEF_CONST(0.7598743984),
- COEF_CONST(0.7609370551),
- COEF_CONST(0.7619976746),
- COEF_CONST(0.7630562540),
- COEF_CONST(0.7641127905),
- COEF_CONST(0.7651672812),
- COEF_CONST(0.7662197234),
- COEF_CONST(0.7672701141),
- COEF_CONST(0.7683184506),
- COEF_CONST(0.7693647301),
- COEF_CONST(0.7704089498),
- COEF_CONST(0.7714511069),
- COEF_CONST(0.7724911985),
- COEF_CONST(0.7735292220),
- COEF_CONST(0.7745651745),
- COEF_CONST(0.7755990532),
- COEF_CONST(0.7766308555),
- COEF_CONST(0.7776605784),
- COEF_CONST(0.7786882194),
- COEF_CONST(0.7797137755),
- COEF_CONST(0.7807372441),
- COEF_CONST(0.7817586225),
- COEF_CONST(0.7827779079),
- COEF_CONST(0.7837950975),
- COEF_CONST(0.7848101886),
- COEF_CONST(0.7858231786),
- COEF_CONST(0.7868340647),
- COEF_CONST(0.7878428442),
- COEF_CONST(0.7888495145),
- COEF_CONST(0.7898540727),
- COEF_CONST(0.7908565162),
- COEF_CONST(0.7918568424),
- COEF_CONST(0.7928550486),
- COEF_CONST(0.7938511320),
- COEF_CONST(0.7948450901),
- COEF_CONST(0.7958369201),
- COEF_CONST(0.7968266194),
- COEF_CONST(0.7978141854),
- COEF_CONST(0.7987996154),
- COEF_CONST(0.7997829068),
- COEF_CONST(0.8007640569),
- COEF_CONST(0.8017430631),
- COEF_CONST(0.8027199228),
- COEF_CONST(0.8036946334),
- COEF_CONST(0.8046671923),
- COEF_CONST(0.8056375968),
- COEF_CONST(0.8066058444),
- COEF_CONST(0.8075719325),
- COEF_CONST(0.8085358584),
- COEF_CONST(0.8094976197),
- COEF_CONST(0.8104572137),
- COEF_CONST(0.8114146378),
- COEF_CONST(0.8123698896),
- COEF_CONST(0.8133229663),
- COEF_CONST(0.8142738656),
- COEF_CONST(0.8152225848),
- COEF_CONST(0.8161691215),
- COEF_CONST(0.8171134730),
- COEF_CONST(0.8180556368),
- COEF_CONST(0.8189956104),
- COEF_CONST(0.8199333914),
- COEF_CONST(0.8208689772),
- COEF_CONST(0.8218023652),
- COEF_CONST(0.8227335530),
- COEF_CONST(0.8236625381),
- COEF_CONST(0.8245893180),
- COEF_CONST(0.8255138903),
- COEF_CONST(0.8264362524),
- COEF_CONST(0.8273564019),
- COEF_CONST(0.8282743363),
- COEF_CONST(0.8291900531),
- COEF_CONST(0.8301035500),
- COEF_CONST(0.8310148244),
- COEF_CONST(0.8319238740),
- COEF_CONST(0.8328306962),
- COEF_CONST(0.8337352887),
- COEF_CONST(0.8346376491),
- COEF_CONST(0.8355377749),
- COEF_CONST(0.8364356636),
- COEF_CONST(0.8373313130),
- COEF_CONST(0.8382247206),
- COEF_CONST(0.8391158841),
- COEF_CONST(0.8400048009),
- COEF_CONST(0.8408914688),
- COEF_CONST(0.8417758854),
- COEF_CONST(0.8426580483),
- COEF_CONST(0.8435379552),
- COEF_CONST(0.8444156036),
- COEF_CONST(0.8452909913),
- COEF_CONST(0.8461641159),
- COEF_CONST(0.8470349751),
- COEF_CONST(0.8479035665),
- COEF_CONST(0.8487698878),
- COEF_CONST(0.8496339367),
- COEF_CONST(0.8504957108),
- COEF_CONST(0.8513552080),
- COEF_CONST(0.8522124258),
- COEF_CONST(0.8530673619),
- COEF_CONST(0.8539200142),
- COEF_CONST(0.8547703802),
- COEF_CONST(0.8556184578),
- COEF_CONST(0.8564642446),
- COEF_CONST(0.8573077384),
- COEF_CONST(0.8581489370),
- COEF_CONST(0.8589878380),
- COEF_CONST(0.8598244392),
- COEF_CONST(0.8606587385),
- COEF_CONST(0.8614907335),
- COEF_CONST(0.8623204220),
- COEF_CONST(0.8631478018),
- COEF_CONST(0.8639728707),
- COEF_CONST(0.8647956265),
- COEF_CONST(0.8656160670),
- COEF_CONST(0.8664341900),
- COEF_CONST(0.8672499933),
- COEF_CONST(0.8680634747),
- COEF_CONST(0.8688746320),
- COEF_CONST(0.8696834631),
- COEF_CONST(0.8704899657),
- COEF_CONST(0.8712941378),
- COEF_CONST(0.8720959772),
- COEF_CONST(0.8728954818),
- COEF_CONST(0.8736926493),
- COEF_CONST(0.8744874777),
- COEF_CONST(0.8752799648),
- COEF_CONST(0.8760701085),
- COEF_CONST(0.8768579067),
- COEF_CONST(0.8776433574),
- COEF_CONST(0.8784264583),
- COEF_CONST(0.8792072074),
- COEF_CONST(0.8799856025),
- COEF_CONST(0.8807616417),
- COEF_CONST(0.8815353229),
- COEF_CONST(0.8823066439),
- COEF_CONST(0.8830756027),
- COEF_CONST(0.8838421972),
- COEF_CONST(0.8846064254),
- COEF_CONST(0.8853682853),
- COEF_CONST(0.8861277748),
- COEF_CONST(0.8868848918),
- COEF_CONST(0.8876396344),
- COEF_CONST(0.8883920005),
- COEF_CONST(0.8891419881),
- COEF_CONST(0.8898895952),
- COEF_CONST(0.8906348198),
- COEF_CONST(0.8913776599),
- COEF_CONST(0.8921181136),
- COEF_CONST(0.8928561787),
- COEF_CONST(0.8935918534),
- COEF_CONST(0.8943251357),
- COEF_CONST(0.8950560237),
- COEF_CONST(0.8957845152),
- COEF_CONST(0.8965106085),
- COEF_CONST(0.8972343016),
- COEF_CONST(0.8979555925),
- COEF_CONST(0.8986744793),
- COEF_CONST(0.8993909601),
- COEF_CONST(0.9001050330),
- COEF_CONST(0.9008166959),
- COEF_CONST(0.9015259472),
- COEF_CONST(0.9022327848),
- COEF_CONST(0.9029372068),
- COEF_CONST(0.9036392114),
- COEF_CONST(0.9043387967),
- COEF_CONST(0.9050359608),
- COEF_CONST(0.9057307018),
- COEF_CONST(0.9064230179),
- COEF_CONST(0.9071129073),
- COEF_CONST(0.9078003680),
- COEF_CONST(0.9084853983),
- COEF_CONST(0.9091679963),
- COEF_CONST(0.9098481602),
- COEF_CONST(0.9105258881),
- COEF_CONST(0.9112011783),
- COEF_CONST(0.9118740290),
- COEF_CONST(0.9125444382),
- COEF_CONST(0.9132124044),
- COEF_CONST(0.9138779255),
- COEF_CONST(0.9145410000),
- COEF_CONST(0.9152016259),
- COEF_CONST(0.9158598016),
- COEF_CONST(0.9165155252),
- COEF_CONST(0.9171687951),
- COEF_CONST(0.9178196094),
- COEF_CONST(0.9184679665),
- COEF_CONST(0.9191138645),
- COEF_CONST(0.9197573017),
- COEF_CONST(0.9203982766),
- COEF_CONST(0.9210367872),
- COEF_CONST(0.9216728319),
- COEF_CONST(0.9223064091),
- COEF_CONST(0.9229375169),
- COEF_CONST(0.9235661538),
- COEF_CONST(0.9241923180),
- COEF_CONST(0.9248160078),
- COEF_CONST(0.9254372217),
- COEF_CONST(0.9260559578),
- COEF_CONST(0.9266722147),
- COEF_CONST(0.9272859906),
- COEF_CONST(0.9278972838),
- COEF_CONST(0.9285060928),
- COEF_CONST(0.9291124159),
- COEF_CONST(0.9297162514),
- COEF_CONST(0.9303175979),
- COEF_CONST(0.9309164536),
- COEF_CONST(0.9315128169),
- COEF_CONST(0.9321066864),
- COEF_CONST(0.9326980603),
- COEF_CONST(0.9332869370),
- COEF_CONST(0.9338733151),
- COEF_CONST(0.9344571929),
- COEF_CONST(0.9350385689),
- COEF_CONST(0.9356174416),
- COEF_CONST(0.9361938093),
- COEF_CONST(0.9367676705),
- COEF_CONST(0.9373390237),
- COEF_CONST(0.9379078674),
- COEF_CONST(0.9384742000),
- COEF_CONST(0.9390380200),
- COEF_CONST(0.9395993260),
- COEF_CONST(0.9401581163),
- COEF_CONST(0.9407143896),
- COEF_CONST(0.9412681443),
- COEF_CONST(0.9418193789),
- COEF_CONST(0.9423680920),
- COEF_CONST(0.9429142821),
- COEF_CONST(0.9434579477),
- COEF_CONST(0.9439990874),
- COEF_CONST(0.9445376998),
- COEF_CONST(0.9450737833),
- COEF_CONST(0.9456073366),
- COEF_CONST(0.9461383582),
- COEF_CONST(0.9466668467),
- COEF_CONST(0.9471928007),
- COEF_CONST(0.9477162188),
- COEF_CONST(0.9482370995),
- COEF_CONST(0.9487554416),
- COEF_CONST(0.9492712435),
- COEF_CONST(0.9497845040),
- COEF_CONST(0.9502952216),
- COEF_CONST(0.9508033949),
- COEF_CONST(0.9513090227),
- COEF_CONST(0.9518121035),
- COEF_CONST(0.9523126361),
- COEF_CONST(0.9528106190),
- COEF_CONST(0.9533060510),
- COEF_CONST(0.9537989307),
- COEF_CONST(0.9542892567),
- COEF_CONST(0.9547770279),
- COEF_CONST(0.9552622428),
- COEF_CONST(0.9557449002),
- COEF_CONST(0.9562249988),
- COEF_CONST(0.9567025372),
- COEF_CONST(0.9571775143),
- COEF_CONST(0.9576499288),
- COEF_CONST(0.9581197793),
- COEF_CONST(0.9585870647),
- COEF_CONST(0.9590517836),
- COEF_CONST(0.9595139348),
- COEF_CONST(0.9599735172),
- COEF_CONST(0.9604305294),
- COEF_CONST(0.9608849703),
- COEF_CONST(0.9613368385),
- COEF_CONST(0.9617861330),
- COEF_CONST(0.9622328525),
- COEF_CONST(0.9626769958),
- COEF_CONST(0.9631185617),
- COEF_CONST(0.9635575491),
- COEF_CONST(0.9639939567),
- COEF_CONST(0.9644277835),
- COEF_CONST(0.9648590281),
- COEF_CONST(0.9652876896),
- COEF_CONST(0.9657137667),
- COEF_CONST(0.9661372582),
- COEF_CONST(0.9665581632),
- COEF_CONST(0.9669764804),
- COEF_CONST(0.9673922086),
- COEF_CONST(0.9678053469),
- COEF_CONST(0.9682158941),
- COEF_CONST(0.9686238491),
- COEF_CONST(0.9690292108),
- COEF_CONST(0.9694319780),
- COEF_CONST(0.9698321499),
- COEF_CONST(0.9702297252),
- COEF_CONST(0.9706247029),
- COEF_CONST(0.9710170819),
- COEF_CONST(0.9714068613),
- COEF_CONST(0.9717940399),
- COEF_CONST(0.9721786167),
- COEF_CONST(0.9725605907),
- COEF_CONST(0.9729399608),
- COEF_CONST(0.9733167261),
- COEF_CONST(0.9736908855),
- COEF_CONST(0.9740624381),
- COEF_CONST(0.9744313828),
- COEF_CONST(0.9747977187),
- COEF_CONST(0.9751614448),
- COEF_CONST(0.9755225600),
- COEF_CONST(0.9758810635),
- COEF_CONST(0.9762369542),
- COEF_CONST(0.9765902313),
- COEF_CONST(0.9769408937),
- COEF_CONST(0.9772889406),
- COEF_CONST(0.9776343710),
- COEF_CONST(0.9779771840),
- COEF_CONST(0.9783173786),
- COEF_CONST(0.9786549539),
- COEF_CONST(0.9789899092),
- COEF_CONST(0.9793222433),
- COEF_CONST(0.9796519555),
- COEF_CONST(0.9799790449),
- COEF_CONST(0.9803035106),
- COEF_CONST(0.9806253518),
- COEF_CONST(0.9809445675),
- COEF_CONST(0.9812611569),
- COEF_CONST(0.9815751192),
- COEF_CONST(0.9818864535),
- COEF_CONST(0.9821951590),
- COEF_CONST(0.9825012349),
- COEF_CONST(0.9828046803),
- COEF_CONST(0.9831054945),
- COEF_CONST(0.9834036766),
- COEF_CONST(0.9836992258),
- COEF_CONST(0.9839921414),
- COEF_CONST(0.9842824225),
- COEF_CONST(0.9845700684),
- COEF_CONST(0.9848550783),
- COEF_CONST(0.9851374515),
- COEF_CONST(0.9854171871),
- COEF_CONST(0.9856942845),
- COEF_CONST(0.9859687429),
- COEF_CONST(0.9862405616),
- COEF_CONST(0.9865097398),
- COEF_CONST(0.9867762768),
- COEF_CONST(0.9870401719),
- COEF_CONST(0.9873014244),
- COEF_CONST(0.9875600336),
- COEF_CONST(0.9878159988),
- COEF_CONST(0.9880693193),
- COEF_CONST(0.9883199945),
- COEF_CONST(0.9885680237),
- COEF_CONST(0.9888134061),
- COEF_CONST(0.9890561412),
- COEF_CONST(0.9892962283),
- COEF_CONST(0.9895336667),
- COEF_CONST(0.9897684559),
- COEF_CONST(0.9900005952),
- COEF_CONST(0.9902300839),
- COEF_CONST(0.9904569215),
- COEF_CONST(0.9906811073),
- COEF_CONST(0.9909026408),
- COEF_CONST(0.9911215213),
- COEF_CONST(0.9913377484),
- COEF_CONST(0.9915513213),
- COEF_CONST(0.9917622395),
- COEF_CONST(0.9919705024),
- COEF_CONST(0.9921761096),
- COEF_CONST(0.9923790604),
- COEF_CONST(0.9925793543),
- COEF_CONST(0.9927769908),
- COEF_CONST(0.9929719693),
- COEF_CONST(0.9931642894),
- COEF_CONST(0.9933539504),
- COEF_CONST(0.9935409519),
- COEF_CONST(0.9937252935),
- COEF_CONST(0.9939069745),
- COEF_CONST(0.9940859945),
- COEF_CONST(0.9942623531),
- COEF_CONST(0.9944360497),
- COEF_CONST(0.9946070839),
- COEF_CONST(0.9947754553),
- COEF_CONST(0.9949411633),
- COEF_CONST(0.9951042076),
- COEF_CONST(0.9952645877),
- COEF_CONST(0.9954223032),
- COEF_CONST(0.9955773536),
- COEF_CONST(0.9957297385),
- COEF_CONST(0.9958794576),
- COEF_CONST(0.9960265105),
- COEF_CONST(0.9961708966),
- COEF_CONST(0.9963126157),
- COEF_CONST(0.9964516674),
- COEF_CONST(0.9965880513),
- COEF_CONST(0.9967217670),
- COEF_CONST(0.9968528142),
- COEF_CONST(0.9969811925),
- COEF_CONST(0.9971069016),
- COEF_CONST(0.9972299412),
- COEF_CONST(0.9973503108),
- COEF_CONST(0.9974680103),
- COEF_CONST(0.9975830392),
- COEF_CONST(0.9976953973),
- COEF_CONST(0.9978050843),
- COEF_CONST(0.9979120998),
- COEF_CONST(0.9980164436),
- COEF_CONST(0.9981181155),
- COEF_CONST(0.9982171151),
- COEF_CONST(0.9983134421),
- COEF_CONST(0.9984070964),
- COEF_CONST(0.9984980776),
- COEF_CONST(0.9985863855),
- COEF_CONST(0.9986720200),
- COEF_CONST(0.9987549807),
- COEF_CONST(0.9988352674),
- COEF_CONST(0.9989128799),
- COEF_CONST(0.9989878181),
- COEF_CONST(0.9990600816),
- COEF_CONST(0.9991296704),
- COEF_CONST(0.9991965842),
- COEF_CONST(0.9992608228),
- COEF_CONST(0.9993223862),
- COEF_CONST(0.9993812740),
- COEF_CONST(0.9994374862),
- COEF_CONST(0.9994910226),
- COEF_CONST(0.9995418831),
- COEF_CONST(0.9995900674),
- COEF_CONST(0.9996355756),
- COEF_CONST(0.9996784075),
- COEF_CONST(0.9997185629),
- COEF_CONST(0.9997560418),
- COEF_CONST(0.9997908440),
- COEF_CONST(0.9998229695),
- COEF_CONST(0.9998524181),
- COEF_CONST(0.9998791899),
- COEF_CONST(0.9999032846),
- COEF_CONST(0.9999247024),
- COEF_CONST(0.9999434430),
- COEF_CONST(0.9999595065),
- COEF_CONST(0.9999728928),
- COEF_CONST(0.9999836018),
- COEF_CONST(0.9999916336),
- COEF_CONST(0.9999969881),
- COEF_CONST(0.9999996654)
+ FRAC_CONST(0.00081812299560725323),
+ FRAC_CONST(0.0024543667964602917),
+ FRAC_CONST(0.0040906040262347889),
+ FRAC_CONST(0.0057268303042312674),
+ FRAC_CONST(0.0073630412497795667),
+ FRAC_CONST(0.0089992324822505774),
+ FRAC_CONST(0.010635399621067975),
+ FRAC_CONST(0.012271538285719924),
+ FRAC_CONST(0.013907644095770845),
+ FRAC_CONST(0.015543712670873098),
+ FRAC_CONST(0.017179739630778748),
+ FRAC_CONST(0.018815720595351273),
+ FRAC_CONST(0.020451651184577292),
+ FRAC_CONST(0.022087527018578291),
+ FRAC_CONST(0.023723343717622358),
+ FRAC_CONST(0.025359096902135895),
+ FRAC_CONST(0.02699478219271537),
+ FRAC_CONST(0.028630395210139003),
+ FRAC_CONST(0.030265931575378519),
+ FRAC_CONST(0.031901386909610863),
+ FRAC_CONST(0.033536756834229922),
+ FRAC_CONST(0.035172036970858266),
+ FRAC_CONST(0.036807222941358832),
+ FRAC_CONST(0.038442310367846677),
+ FRAC_CONST(0.040077294872700696),
+ FRAC_CONST(0.041712172078575326),
+ FRAC_CONST(0.043346937608412288),
+ FRAC_CONST(0.044981587085452281),
+ FRAC_CONST(0.046616116133246711),
+ FRAC_CONST(0.048250520375669431),
+ FRAC_CONST(0.049884795436928406),
+ FRAC_CONST(0.051518936941577477),
+ FRAC_CONST(0.053152940514528055),
+ FRAC_CONST(0.05478680178106083),
+ FRAC_CONST(0.056420516366837495),
+ FRAC_CONST(0.05805407989791244),
+ FRAC_CONST(0.059687488000744485),
+ FRAC_CONST(0.061320736302208578),
+ FRAC_CONST(0.062953820429607482),
+ FRAC_CONST(0.064586736010683557),
+ FRAC_CONST(0.066219478673630344),
+ FRAC_CONST(0.06785204404710439),
+ FRAC_CONST(0.069484427760236861),
+ FRAC_CONST(0.071116625442645326),
+ FRAC_CONST(0.072748632724445372),
+ FRAC_CONST(0.07438044523626236),
+ FRAC_CONST(0.076012058609243122),
+ FRAC_CONST(0.077643468475067631),
+ FRAC_CONST(0.079274670465960706),
+ FRAC_CONST(0.080905660214703745),
+ FRAC_CONST(0.082536433354646319),
+ FRAC_CONST(0.084166985519717977),
+ FRAC_CONST(0.085797312344439894),
+ FRAC_CONST(0.08742740946393647),
+ FRAC_CONST(0.089057272513947183),
+ FRAC_CONST(0.090686897130838162),
+ FRAC_CONST(0.092316278951613845),
+ FRAC_CONST(0.093945413613928788),
+ FRAC_CONST(0.095574296756099186),
+ FRAC_CONST(0.097202924017114667),
+ FRAC_CONST(0.098831291036649963),
+ FRAC_CONST(0.10045939345507648),
+ FRAC_CONST(0.10208722691347409),
+ FRAC_CONST(0.10371478705364276),
+ FRAC_CONST(0.10534206951811415),
+ FRAC_CONST(0.10696906995016341),
+ FRAC_CONST(0.10859578399382072),
+ FRAC_CONST(0.11022220729388306),
+ FRAC_CONST(0.11184833549592579),
+ FRAC_CONST(0.11347416424631435),
+ FRAC_CONST(0.11509968919221586),
+ FRAC_CONST(0.11672490598161089),
+ FRAC_CONST(0.11834981026330495),
+ FRAC_CONST(0.11997439768694031),
+ FRAC_CONST(0.12159866390300751),
+ FRAC_CONST(0.12322260456285709),
+ FRAC_CONST(0.12484621531871121),
+ FRAC_CONST(0.12646949182367517),
+ FRAC_CONST(0.12809242973174936),
+ FRAC_CONST(0.12971502469784052),
+ FRAC_CONST(0.13133727237777362),
+ FRAC_CONST(0.13295916842830346),
+ FRAC_CONST(0.13458070850712617),
+ FRAC_CONST(0.13620188827289101),
+ FRAC_CONST(0.1378227033852118),
+ FRAC_CONST(0.13944314950467873),
+ FRAC_CONST(0.14106322229286994),
+ FRAC_CONST(0.14268291741236291),
+ FRAC_CONST(0.14430223052674654),
+ FRAC_CONST(0.1459211573006321),
+ FRAC_CONST(0.14753969339966552),
+ FRAC_CONST(0.14915783449053857),
+ FRAC_CONST(0.15077557624100058),
+ FRAC_CONST(0.15239291431987001),
+ FRAC_CONST(0.1540098443970461),
+ FRAC_CONST(0.15562636214352044),
+ FRAC_CONST(0.15724246323138855),
+ FRAC_CONST(0.15885814333386142),
+ FRAC_CONST(0.16047339812527725),
+ FRAC_CONST(0.16208822328111283),
+ FRAC_CONST(0.16370261447799525),
+ FRAC_CONST(0.16531656739371339),
+ FRAC_CONST(0.16693007770722967),
+ FRAC_CONST(0.16854314109869134),
+ FRAC_CONST(0.17015575324944232),
+ FRAC_CONST(0.17176790984203447),
+ FRAC_CONST(0.17337960656023954),
+ FRAC_CONST(0.1749908390890603),
+ FRAC_CONST(0.17660160311474243),
+ FRAC_CONST(0.17821189432478593),
+ FRAC_CONST(0.17982170840795647),
+ FRAC_CONST(0.18143104105429744),
+ FRAC_CONST(0.18303988795514095),
+ FRAC_CONST(0.1846482448031197),
+ FRAC_CONST(0.18625610729217834),
+ FRAC_CONST(0.1878634711175852),
+ FRAC_CONST(0.18947033197594348),
+ FRAC_CONST(0.19107668556520319),
+ FRAC_CONST(0.19268252758467228),
+ FRAC_CONST(0.19428785373502844),
+ FRAC_CONST(0.19589265971833042),
+ FRAC_CONST(0.19749694123802966),
+ FRAC_CONST(0.19910069399898173),
+ FRAC_CONST(0.20070391370745785),
+ FRAC_CONST(0.20230659607115639),
+ FRAC_CONST(0.20390873679921437),
+ FRAC_CONST(0.20551033160221882),
+ FRAC_CONST(0.20711137619221856),
+ FRAC_CONST(0.2087118662827353),
+ FRAC_CONST(0.21031179758877552),
+ FRAC_CONST(0.21191116582684155),
+ FRAC_CONST(0.21350996671494335),
+ FRAC_CONST(0.21510819597260972),
+ FRAC_CONST(0.21670584932089998),
+ FRAC_CONST(0.2183029224824154),
+ FRAC_CONST(0.21989941118131037),
+ FRAC_CONST(0.22149531114330431),
+ FRAC_CONST(0.22309061809569264),
+ FRAC_CONST(0.22468532776735861),
+ FRAC_CONST(0.22627943588878449),
+ FRAC_CONST(0.22787293819206314),
+ FRAC_CONST(0.22946583041090929),
+ FRAC_CONST(0.23105810828067114),
+ FRAC_CONST(0.23264976753834157),
+ FRAC_CONST(0.23424080392256985),
+ FRAC_CONST(0.2358312131736727),
+ FRAC_CONST(0.23742099103364595),
+ FRAC_CONST(0.23901013324617584),
+ FRAC_CONST(0.24059863555665045),
+ FRAC_CONST(0.24218649371217096),
+ FRAC_CONST(0.24377370346156332),
+ FRAC_CONST(0.24536026055538934),
+ FRAC_CONST(0.24694616074595824),
+ FRAC_CONST(0.24853139978733788),
+ FRAC_CONST(0.25011597343536629),
+ FRAC_CONST(0.25169987744766298),
+ FRAC_CONST(0.25328310758364025),
+ FRAC_CONST(0.25486565960451457),
+ FRAC_CONST(0.25644752927331788),
+ FRAC_CONST(0.25802871235490898),
+ FRAC_CONST(0.25960920461598508),
+ FRAC_CONST(0.26118900182509258),
+ FRAC_CONST(0.26276809975263904),
+ FRAC_CONST(0.264346494170904),
+ FRAC_CONST(0.26592418085405067),
+ FRAC_CONST(0.26750115557813692),
+ FRAC_CONST(0.2690774141211269),
+ FRAC_CONST(0.27065295226290209),
+ FRAC_CONST(0.2722277657852728),
+ FRAC_CONST(0.27380185047198918),
+ FRAC_CONST(0.27537520210875299),
+ FRAC_CONST(0.2769478164832283),
+ FRAC_CONST(0.27851968938505312),
+ FRAC_CONST(0.28009081660585067),
+ FRAC_CONST(0.28166119393924061),
+ FRAC_CONST(0.28323081718085019),
+ FRAC_CONST(0.28479968212832563),
+ FRAC_CONST(0.28636778458134327),
+ FRAC_CONST(0.28793512034162105),
+ FRAC_CONST(0.2895016852129294),
+ FRAC_CONST(0.29106747500110264),
+ FRAC_CONST(0.29263248551405047),
+ FRAC_CONST(0.2941967125617686),
+ FRAC_CONST(0.29576015195635058),
+ FRAC_CONST(0.29732279951199847),
+ FRAC_CONST(0.29888465104503475),
+ FRAC_CONST(0.30044570237391266),
+ FRAC_CONST(0.30200594931922808),
+ FRAC_CONST(0.30356538770373032),
+ FRAC_CONST(0.30512401335233358),
+ FRAC_CONST(0.30668182209212791),
+ FRAC_CONST(0.3082388097523906),
+ FRAC_CONST(0.30979497216459695),
+ FRAC_CONST(0.31135030516243201),
+ FRAC_CONST(0.3129048045818012),
+ FRAC_CONST(0.31445846626084178),
+ FRAC_CONST(0.31601128603993378),
+ FRAC_CONST(0.31756325976171151),
+ FRAC_CONST(0.31911438327107416),
+ FRAC_CONST(0.32066465241519732),
+ FRAC_CONST(0.32221406304354389),
+ FRAC_CONST(0.3237626110078754),
+ FRAC_CONST(0.32531029216226293),
+ FRAC_CONST(0.32685710236309828),
+ FRAC_CONST(0.32840303746910487),
+ FRAC_CONST(0.32994809334134939),
+ FRAC_CONST(0.3314922658432522),
+ FRAC_CONST(0.33303555084059877),
+ FRAC_CONST(0.33457794420155085),
+ FRAC_CONST(0.33611944179665709),
+ FRAC_CONST(0.33766003949886464),
+ FRAC_CONST(0.33919973318352969),
+ FRAC_CONST(0.34073851872842903),
+ FRAC_CONST(0.34227639201377064),
+ FRAC_CONST(0.34381334892220483),
+ FRAC_CONST(0.34534938533883547),
+ FRAC_CONST(0.34688449715123082),
+ FRAC_CONST(0.34841868024943456),
+ FRAC_CONST(0.34995193052597684),
+ FRAC_CONST(0.35148424387588523),
+ FRAC_CONST(0.3530156161966958),
+ FRAC_CONST(0.35454604338846402),
+ FRAC_CONST(0.35607552135377557),
+ FRAC_CONST(0.35760404599775775),
+ FRAC_CONST(0.35913161322809023),
+ FRAC_CONST(0.36065821895501554),
+ FRAC_CONST(0.36218385909135092),
+ FRAC_CONST(0.36370852955249849),
+ FRAC_CONST(0.36523222625645668),
+ FRAC_CONST(0.36675494512383078),
+ FRAC_CONST(0.36827668207784414),
+ FRAC_CONST(0.36979743304434909),
+ FRAC_CONST(0.37131719395183754),
+ FRAC_CONST(0.37283596073145214),
+ FRAC_CONST(0.37435372931699717),
+ FRAC_CONST(0.37587049564494951),
+ FRAC_CONST(0.37738625565446909),
+ FRAC_CONST(0.37890100528741022),
+ FRAC_CONST(0.38041474048833229),
+ FRAC_CONST(0.38192745720451066),
+ FRAC_CONST(0.38343915138594736),
+ FRAC_CONST(0.38494981898538222),
+ FRAC_CONST(0.38645945595830333),
+ FRAC_CONST(0.38796805826295838),
+ FRAC_CONST(0.38947562186036483),
+ FRAC_CONST(0.39098214271432141),
+ FRAC_CONST(0.39248761679141814),
+ FRAC_CONST(0.3939920400610481),
+ FRAC_CONST(0.39549540849541737),
+ FRAC_CONST(0.39699771806955625),
+ FRAC_CONST(0.39849896476132979),
+ FRAC_CONST(0.39999914455144892),
+ FRAC_CONST(0.40149825342348083),
+ FRAC_CONST(0.4029962873638599),
+ FRAC_CONST(0.40449324236189854),
+ FRAC_CONST(0.40598911440979762),
+ FRAC_CONST(0.40748389950265762),
+ FRAC_CONST(0.40897759363848879),
+ FRAC_CONST(0.41047019281822261),
+ FRAC_CONST(0.41196169304572178),
+ FRAC_CONST(0.4134520903277914),
+ FRAC_CONST(0.41494138067418929),
+ FRAC_CONST(0.41642956009763715),
+ FRAC_CONST(0.41791662461383078),
+ FRAC_CONST(0.41940257024145089),
+ FRAC_CONST(0.42088739300217382),
+ FRAC_CONST(0.42237108892068231),
+ FRAC_CONST(0.42385365402467584),
+ FRAC_CONST(0.42533508434488143),
+ FRAC_CONST(0.42681537591506419),
+ FRAC_CONST(0.42829452477203828),
+ FRAC_CONST(0.42977252695567697),
+ FRAC_CONST(0.43124937850892364),
+ FRAC_CONST(0.4327250754778022),
+ FRAC_CONST(0.43419961391142781),
+ FRAC_CONST(0.43567298986201736),
+ FRAC_CONST(0.43714519938489987),
+ FRAC_CONST(0.43861623853852766),
+ FRAC_CONST(0.44008610338448595),
+ FRAC_CONST(0.44155478998750436),
+ FRAC_CONST(0.44302229441546676),
+ FRAC_CONST(0.4444886127394222),
+ FRAC_CONST(0.44595374103359531),
+ FRAC_CONST(0.44741767537539667),
+ FRAC_CONST(0.44888041184543348),
+ FRAC_CONST(0.45034194652752002),
+ FRAC_CONST(0.45180227550868812),
+ FRAC_CONST(0.45326139487919759),
+ FRAC_CONST(0.45471930073254679),
+ FRAC_CONST(0.45617598916548296),
+ FRAC_CONST(0.45763145627801283),
+ FRAC_CONST(0.45908569817341294),
+ FRAC_CONST(0.46053871095824001),
+ FRAC_CONST(0.46199049074234161),
+ FRAC_CONST(0.46344103363886635),
+ FRAC_CONST(0.46489033576427435),
+ FRAC_CONST(0.46633839323834758),
+ FRAC_CONST(0.46778520218420055),
+ FRAC_CONST(0.46923075872829029),
+ FRAC_CONST(0.47067505900042683),
+ FRAC_CONST(0.47211809913378361),
+ FRAC_CONST(0.47355987526490806),
+ FRAC_CONST(0.47500038353373153),
+ FRAC_CONST(0.47643962008357982),
+ FRAC_CONST(0.47787758106118372),
+ FRAC_CONST(0.47931426261668875),
+ FRAC_CONST(0.48074966090366611),
+ FRAC_CONST(0.48218377207912272),
+ FRAC_CONST(0.48361659230351117),
+ FRAC_CONST(0.48504811774074069),
+ FRAC_CONST(0.48647834455818684),
+ FRAC_CONST(0.48790726892670194),
+ FRAC_CONST(0.48933488702062544),
+ FRAC_CONST(0.49076119501779414),
+ FRAC_CONST(0.49218618909955225),
+ FRAC_CONST(0.4936098654507618),
+ FRAC_CONST(0.49503222025981269),
+ FRAC_CONST(0.49645324971863303),
+ FRAC_CONST(0.49787295002269943),
+ FRAC_CONST(0.49929131737104687),
+ FRAC_CONST(0.50070834796627917),
+ FRAC_CONST(0.50212403801457872),
+ FRAC_CONST(0.50353838372571758),
+ FRAC_CONST(0.50495138131306638),
+ FRAC_CONST(0.50636302699360547),
+ FRAC_CONST(0.50777331698793449),
+ FRAC_CONST(0.50918224752028263),
+ FRAC_CONST(0.51058981481851906),
+ FRAC_CONST(0.51199601511416237),
+ FRAC_CONST(0.51340084464239111),
+ FRAC_CONST(0.51480429964205421),
+ FRAC_CONST(0.51620637635567967),
+ FRAC_CONST(0.51760707102948678),
+ FRAC_CONST(0.51900637991339404),
+ FRAC_CONST(0.5204042992610306),
+ FRAC_CONST(0.52180082532974559),
+ FRAC_CONST(0.5231959543806185),
+ FRAC_CONST(0.52458968267846895),
+ FRAC_CONST(0.52598200649186677),
+ FRAC_CONST(0.52737292209314235),
+ FRAC_CONST(0.52876242575839572),
+ FRAC_CONST(0.53015051376750777),
+ FRAC_CONST(0.53153718240414882),
+ FRAC_CONST(0.53292242795578992),
+ FRAC_CONST(0.53430624671371152),
+ FRAC_CONST(0.53568863497301467),
+ FRAC_CONST(0.5370695890326298),
+ FRAC_CONST(0.5384491051953274),
+ FRAC_CONST(0.53982717976772743),
+ FRAC_CONST(0.54120380906030963),
+ FRAC_CONST(0.54257898938742311),
+ FRAC_CONST(0.54395271706729609),
+ FRAC_CONST(0.54532498842204646),
+ FRAC_CONST(0.54669579977769045),
+ FRAC_CONST(0.54806514746415402),
+ FRAC_CONST(0.54943302781528081),
+ FRAC_CONST(0.55079943716884383),
+ FRAC_CONST(0.55216437186655387),
+ FRAC_CONST(0.55352782825406999),
+ FRAC_CONST(0.55488980268100907),
+ FRAC_CONST(0.55625029150095584),
+ FRAC_CONST(0.55760929107147217),
+ FRAC_CONST(0.55896679775410718),
+ FRAC_CONST(0.56032280791440714),
+ FRAC_CONST(0.56167731792192455),
+ FRAC_CONST(0.56303032415022869),
+ FRAC_CONST(0.56438182297691453),
+ FRAC_CONST(0.56573181078361312),
+ FRAC_CONST(0.56708028395600085),
+ FRAC_CONST(0.56842723888380908),
+ FRAC_CONST(0.56977267196083425),
+ FRAC_CONST(0.57111657958494688),
+ FRAC_CONST(0.5724589581581021),
+ FRAC_CONST(0.57379980408634845),
+ FRAC_CONST(0.57513911377983773),
+ FRAC_CONST(0.57647688365283478),
+ FRAC_CONST(0.57781311012372738),
+ FRAC_CONST(0.57914778961503466),
+ FRAC_CONST(0.58048091855341843),
+ FRAC_CONST(0.5818124933696911),
+ FRAC_CONST(0.58314251049882604),
+ FRAC_CONST(0.58447096637996743),
+ FRAC_CONST(0.58579785745643886),
+ FRAC_CONST(0.5871231801757536),
+ FRAC_CONST(0.58844693098962408),
+ FRAC_CONST(0.58976910635397084),
+ FRAC_CONST(0.59108970272893235),
+ FRAC_CONST(0.59240871657887517),
+ FRAC_CONST(0.59372614437240179),
+ FRAC_CONST(0.59504198258236196),
+ FRAC_CONST(0.5963562276858605),
+ FRAC_CONST(0.59766887616426767),
+ FRAC_CONST(0.5989799245032289),
+ FRAC_CONST(0.60028936919267273),
+ FRAC_CONST(0.60159720672682204),
+ FRAC_CONST(0.60290343360420195),
+ FRAC_CONST(0.60420804632765002),
+ FRAC_CONST(0.60551104140432543),
+ FRAC_CONST(0.60681241534571839),
+ FRAC_CONST(0.60811216466765883),
+ FRAC_CONST(0.60941028589032709),
+ FRAC_CONST(0.61070677553826169),
+ FRAC_CONST(0.61200163014036979),
+ FRAC_CONST(0.61329484622993602),
+ FRAC_CONST(0.6145864203446314),
+ FRAC_CONST(0.61587634902652377),
+ FRAC_CONST(0.61716462882208556),
+ FRAC_CONST(0.61845125628220421),
+ FRAC_CONST(0.61973622796219074),
+ FRAC_CONST(0.6210195404217892),
+ FRAC_CONST(0.62230119022518593),
+ FRAC_CONST(0.62358117394101897),
+ FRAC_CONST(0.62485948814238634),
+ FRAC_CONST(0.62613612940685637),
+ FRAC_CONST(0.62741109431647646),
+ FRAC_CONST(0.62868437945778133),
+ FRAC_CONST(0.62995598142180387),
+ FRAC_CONST(0.6312258968040827),
+ FRAC_CONST(0.63249412220467238),
+ FRAC_CONST(0.63376065422815175),
+ FRAC_CONST(0.63502548948363347),
+ FRAC_CONST(0.63628862458477287),
+ FRAC_CONST(0.63755005614977711),
+ FRAC_CONST(0.63880978080141437),
+ FRAC_CONST(0.6400677951670225),
+ FRAC_CONST(0.6413240958785188),
+ FRAC_CONST(0.64257867957240766),
+ FRAC_CONST(0.6438315428897915),
+ FRAC_CONST(0.64508268247637779),
+ FRAC_CONST(0.64633209498248945),
+ FRAC_CONST(0.64757977706307335),
+ FRAC_CONST(0.64882572537770888),
+ FRAC_CONST(0.65006993659061751),
+ FRAC_CONST(0.65131240737067142),
+ FRAC_CONST(0.65255313439140239),
+ FRAC_CONST(0.65379211433101081),
+ FRAC_CONST(0.65502934387237444),
+ FRAC_CONST(0.6562648197030575),
+ FRAC_CONST(0.65749853851531959),
+ FRAC_CONST(0.65873049700612374),
+ FRAC_CONST(0.65996069187714679),
+ FRAC_CONST(0.66118911983478657),
+ FRAC_CONST(0.66241577759017178),
+ FRAC_CONST(0.66364066185917048),
+ FRAC_CONST(0.66486376936239888),
+ FRAC_CONST(0.66608509682523009),
+ FRAC_CONST(0.66730464097780284),
+ FRAC_CONST(0.66852239855503071),
+ FRAC_CONST(0.66973836629660977),
+ FRAC_CONST(0.67095254094702894),
+ FRAC_CONST(0.67216491925557675),
+ FRAC_CONST(0.67337549797635199),
+ FRAC_CONST(0.67458427386827102),
+ FRAC_CONST(0.67579124369507693),
+ FRAC_CONST(0.67699640422534846),
+ FRAC_CONST(0.67819975223250772),
+ FRAC_CONST(0.6794012844948305),
+ FRAC_CONST(0.68060099779545302),
+ FRAC_CONST(0.68179888892238183),
+ FRAC_CONST(0.6829949546685018),
+ FRAC_CONST(0.68418919183158522),
+ FRAC_CONST(0.68538159721429948),
+ FRAC_CONST(0.6865721676242168),
+ FRAC_CONST(0.68776089987382172),
+ FRAC_CONST(0.68894779078052026),
+ FRAC_CONST(0.69013283716664853),
+ FRAC_CONST(0.69131603585948032),
+ FRAC_CONST(0.69249738369123692),
+ FRAC_CONST(0.69367687749909468),
+ FRAC_CONST(0.69485451412519361),
+ FRAC_CONST(0.69603029041664599),
+ FRAC_CONST(0.6972042032255451),
+ FRAC_CONST(0.6983762494089728),
+ FRAC_CONST(0.69954642582900894),
+ FRAC_CONST(0.70071472935273893),
+ FRAC_CONST(0.70188115685226271),
+ FRAC_CONST(0.703045705204703),
+ FRAC_CONST(0.70420837129221303),
+ FRAC_CONST(0.70536915200198613),
+ FRAC_CONST(0.70652804422626281),
+ FRAC_CONST(0.70768504486233985),
+ FRAC_CONST(0.70884015081257845),
+ FRAC_CONST(0.70999335898441229),
+ FRAC_CONST(0.711144666290356),
+ FRAC_CONST(0.71229406964801356),
+ FRAC_CONST(0.71344156598008623),
+ FRAC_CONST(0.71458715221438096),
+ FRAC_CONST(0.71573082528381871),
+ FRAC_CONST(0.71687258212644234),
+ FRAC_CONST(0.7180124196854254),
+ FRAC_CONST(0.71915033490907943),
+ FRAC_CONST(0.72028632475086318),
+ FRAC_CONST(0.72142038616938997),
+ FRAC_CONST(0.72255251612843596),
+ FRAC_CONST(0.72368271159694852),
+ FRAC_CONST(0.72481096954905444),
+ FRAC_CONST(0.72593728696406756),
+ FRAC_CONST(0.72706166082649704),
+ FRAC_CONST(0.72818408812605595),
+ FRAC_CONST(0.72930456585766834),
+ FRAC_CONST(0.73042309102147851),
+ FRAC_CONST(0.73153966062285747),
+ FRAC_CONST(0.73265427167241282),
+ FRAC_CONST(0.73376692118599507),
+ FRAC_CONST(0.73487760618470677),
+ FRAC_CONST(0.73598632369490979),
+ FRAC_CONST(0.73709307074823405),
+ FRAC_CONST(0.73819784438158409),
+ FRAC_CONST(0.73930064163714881),
+ FRAC_CONST(0.74040145956240788),
+ FRAC_CONST(0.74150029521014049),
+ FRAC_CONST(0.74259714563843304),
+ FRAC_CONST(0.74369200791068657),
+ FRAC_CONST(0.74478487909562552),
+ FRAC_CONST(0.74587575626730485),
+ FRAC_CONST(0.74696463650511791),
+ FRAC_CONST(0.74805151689380456),
+ FRAC_CONST(0.74913639452345926),
+ FRAC_CONST(0.75021926648953785),
+ FRAC_CONST(0.75130012989286621),
+ FRAC_CONST(0.7523789818396478),
+ FRAC_CONST(0.75345581944147111),
+ FRAC_CONST(0.75453063981531809),
+ FRAC_CONST(0.75560344008357094),
+ FRAC_CONST(0.75667421737402052),
+ FRAC_CONST(0.7577429688198738),
+ FRAC_CONST(0.75880969155976163),
+ FRAC_CONST(0.75987438273774599),
+ FRAC_CONST(0.76093703950332836),
+ FRAC_CONST(0.76199765901145666),
+ FRAC_CONST(0.76305623842253345),
+ FRAC_CONST(0.76411277490242291),
+ FRAC_CONST(0.76516726562245885),
+ FRAC_CONST(0.76621970775945258),
+ FRAC_CONST(0.76727009849569949),
+ FRAC_CONST(0.76831843501898767),
+ FRAC_CONST(0.76936471452260458),
+ FRAC_CONST(0.77040893420534517),
+ FRAC_CONST(0.77145109127151923),
+ FRAC_CONST(0.77249118293095853),
+ FRAC_CONST(0.77352920639902467),
+ FRAC_CONST(0.77456515889661659),
+ FRAC_CONST(0.77559903765017746),
+ FRAC_CONST(0.7766308398917029),
+ FRAC_CONST(0.77766056285874774),
+ FRAC_CONST(0.77868820379443371),
+ FRAC_CONST(0.77971375994745684),
+ FRAC_CONST(0.78073722857209438),
+ FRAC_CONST(0.7817586069282132),
+ FRAC_CONST(0.78277789228127592),
+ FRAC_CONST(0.78379508190234881),
+ FRAC_CONST(0.78481017306810918),
+ FRAC_CONST(0.78582316306085265),
+ FRAC_CONST(0.78683404916849986),
+ FRAC_CONST(0.78784282868460476),
+ FRAC_CONST(0.78884949890836087),
+ FRAC_CONST(0.78985405714460888),
+ FRAC_CONST(0.7908565007038445),
+ FRAC_CONST(0.79185682690222425),
+ FRAC_CONST(0.79285503306157412),
+ FRAC_CONST(0.79385111650939566),
+ FRAC_CONST(0.79484507457887377),
+ FRAC_CONST(0.79583690460888357),
+ FRAC_CONST(0.79682660394399751),
+ FRAC_CONST(0.79781416993449272),
+ FRAC_CONST(0.79879959993635785),
+ FRAC_CONST(0.7997828913113002),
+ FRAC_CONST(0.80076404142675273),
+ FRAC_CONST(0.80174304765588156),
+ FRAC_CONST(0.80271990737759213),
+ FRAC_CONST(0.80369461797653707),
+ FRAC_CONST(0.80466717684312306),
+ FRAC_CONST(0.80563758137351682),
+ FRAC_CONST(0.80660582896965372),
+ FRAC_CONST(0.80757191703924336),
+ FRAC_CONST(0.80853584299577752),
+ FRAC_CONST(0.80949760425853612),
+ FRAC_CONST(0.81045719825259477),
+ FRAC_CONST(0.81141462240883167),
+ FRAC_CONST(0.81236987416393436),
+ FRAC_CONST(0.81332295096040608),
+ FRAC_CONST(0.81427385024657373),
+ FRAC_CONST(0.81522256947659355),
+ FRAC_CONST(0.81616910611045879),
+ FRAC_CONST(0.817113457614006),
+ FRAC_CONST(0.81805562145892186),
+ FRAC_CONST(0.81899559512275044),
+ FRAC_CONST(0.81993337608889916),
+ FRAC_CONST(0.82086896184664637),
+ FRAC_CONST(0.8218023498911472),
+ FRAC_CONST(0.82273353772344116),
+ FRAC_CONST(0.82366252285045805),
+ FRAC_CONST(0.82458930278502529),
+ FRAC_CONST(0.82551387504587381),
+ FRAC_CONST(0.82643623715764558),
+ FRAC_CONST(0.82735638665089983),
+ FRAC_CONST(0.82827432106211907),
+ FRAC_CONST(0.82919003793371693),
+ FRAC_CONST(0.83010353481404364),
+ FRAC_CONST(0.83101480925739324),
+ FRAC_CONST(0.83192385882400965),
+ FRAC_CONST(0.83283068108009373),
+ FRAC_CONST(0.8337352735978093),
+ FRAC_CONST(0.83463763395529011),
+ FRAC_CONST(0.83553775973664579),
+ FRAC_CONST(0.83643564853196872),
+ FRAC_CONST(0.83733129793734051),
+ FRAC_CONST(0.83822470555483797),
+ FRAC_CONST(0.83911586899254031),
+ FRAC_CONST(0.84000478586453453),
+ FRAC_CONST(0.84089145379092289),
+ FRAC_CONST(0.84177587039782842),
+ FRAC_CONST(0.84265803331740163),
+ FRAC_CONST(0.84353794018782702),
+ FRAC_CONST(0.844415588653329),
+ FRAC_CONST(0.8452909763641786),
+ FRAC_CONST(0.84616410097669936),
+ FRAC_CONST(0.84703496015327406),
+ FRAC_CONST(0.84790355156235053),
+ FRAC_CONST(0.84876987287844818),
+ FRAC_CONST(0.8496339217821639),
+ FRAC_CONST(0.85049569596017938),
+ FRAC_CONST(0.85135519310526508),
+ FRAC_CONST(0.85221241091628896),
+ FRAC_CONST(0.85306734709822085),
+ FRAC_CONST(0.85391999936213903),
+ FRAC_CONST(0.85477036542523732),
+ FRAC_CONST(0.85561844301082923),
+ FRAC_CONST(0.85646422984835635),
+ FRAC_CONST(0.85730772367339259),
+ FRAC_CONST(0.85814892222765116),
+ FRAC_CONST(0.85898782325899026),
+ FRAC_CONST(0.85982442452141961),
+ FRAC_CONST(0.86065872377510555),
+ FRAC_CONST(0.86149071878637817),
+ FRAC_CONST(0.8623204073277364),
+ FRAC_CONST(0.86314778717785412),
+ FRAC_CONST(0.8639728561215867),
+ FRAC_CONST(0.86479561194997623),
+ FRAC_CONST(0.86561605246025763),
+ FRAC_CONST(0.86643417545586487),
+ FRAC_CONST(0.8672499787464365),
+ FRAC_CONST(0.86806346014782154),
+ FRAC_CONST(0.8688746174820855),
+ FRAC_CONST(0.86968344857751589),
+ FRAC_CONST(0.87048995126862883),
+ FRAC_CONST(0.87129412339617363),
+ FRAC_CONST(0.87209596280713941),
+ FRAC_CONST(0.8728954673547612),
+ FRAC_CONST(0.87369263489852422),
+ FRAC_CONST(0.87448746330417149),
+ FRAC_CONST(0.87527995044370765),
+ FRAC_CONST(0.8760700941954066),
+ FRAC_CONST(0.87685789244381551),
+ FRAC_CONST(0.87764334307976144),
+ FRAC_CONST(0.87842644400035663),
+ FRAC_CONST(0.8792071931090043),
+ FRAC_CONST(0.87998558831540408),
+ FRAC_CONST(0.88076162753555787),
+ FRAC_CONST(0.88153530869177488),
+ FRAC_CONST(0.88230662971267804),
+ FRAC_CONST(0.88307558853320878),
+ FRAC_CONST(0.88384218309463292),
+ FRAC_CONST(0.8846064113445461),
+ FRAC_CONST(0.88536827123687933),
+ FRAC_CONST(0.88612776073190425),
+ FRAC_CONST(0.88688487779623937),
+ FRAC_CONST(0.88763962040285393),
+ FRAC_CONST(0.8883919865310751),
+ FRAC_CONST(0.88914197416659235),
+ FRAC_CONST(0.88988958130146301),
+ FRAC_CONST(0.8906348059341177),
+ FRAC_CONST(0.89137764606936609),
+ FRAC_CONST(0.89211809971840139),
+ FRAC_CONST(0.89285616489880615),
+ FRAC_CONST(0.89359183963455813),
+ FRAC_CONST(0.89432512195603453),
+ FRAC_CONST(0.89505600990001799),
+ FRAC_CONST(0.89578450150970124),
+ FRAC_CONST(0.8965105948346932),
+ FRAC_CONST(0.89723428793102367),
+ FRAC_CONST(0.89795557886114807),
+ FRAC_CONST(0.89867446569395382),
+ FRAC_CONST(0.89939094650476448),
+ FRAC_CONST(0.90010501937534515),
+ FRAC_CONST(0.900816682393908),
+ FRAC_CONST(0.90152593365511691),
+ FRAC_CONST(0.90223277126009283),
+ FRAC_CONST(0.90293719331641886),
+ FRAC_CONST(0.90363919793814496),
+ FRAC_CONST(0.90433878324579353),
+ FRAC_CONST(0.90503594736636439),
+ FRAC_CONST(0.90573068843333915),
+ FRAC_CONST(0.90642300458668679),
+ FRAC_CONST(0.90711289397286898),
+ FRAC_CONST(0.90780035474484411),
+ FRAC_CONST(0.90848538506207266),
+ FRAC_CONST(0.90916798309052227),
+ FRAC_CONST(0.90984814700267291),
+ FRAC_CONST(0.9105258749775208),
+ FRAC_CONST(0.91120116520058425),
+ FRAC_CONST(0.91187401586390815),
+ FRAC_CONST(0.91254442516606893),
+ FRAC_CONST(0.9132123913121788),
+ FRAC_CONST(0.91387791251389161),
+ FRAC_CONST(0.91454098698940678),
+ FRAC_CONST(0.91520161296347435),
+ FRAC_CONST(0.91585978866739981),
+ FRAC_CONST(0.91651551233904871),
+ FRAC_CONST(0.91716878222285148),
+ FRAC_CONST(0.91781959656980805),
+ FRAC_CONST(0.91846795363749245),
+ FRAC_CONST(0.91911385169005766),
+ FRAC_CONST(0.9197572889982405),
+ FRAC_CONST(0.9203982638393654),
+ FRAC_CONST(0.92103677449734989),
+ FRAC_CONST(0.92167281926270861),
+ FRAC_CONST(0.92230639643255874),
+ FRAC_CONST(0.92293750431062316),
+ FRAC_CONST(0.92356614120723612),
+ FRAC_CONST(0.92419230543934783),
+ FRAC_CONST(0.92481599533052783),
+ FRAC_CONST(0.92543720921097061),
+ FRAC_CONST(0.92605594541749991),
+ FRAC_CONST(0.92667220229357261),
+ FRAC_CONST(0.92728597818928349),
+ FRAC_CONST(0.9278972714613698),
+ FRAC_CONST(0.92850608047321548),
+ FRAC_CONST(0.9291124035948557),
+ FRAC_CONST(0.92971623920298097),
+ FRAC_CONST(0.93031758568094147),
+ FRAC_CONST(0.93091644141875196),
+ FRAC_CONST(0.93151280481309506),
+ FRAC_CONST(0.93210667426732674),
+ FRAC_CONST(0.93269804819147983),
+ FRAC_CONST(0.93328692500226818),
+ FRAC_CONST(0.93387330312309147),
+ FRAC_CONST(0.93445718098403896),
+ FRAC_CONST(0.93503855702189376),
+ FRAC_CONST(0.9356174296801375),
+ FRAC_CONST(0.93619379740895381),
+ FRAC_CONST(0.93676765866523259),
+ FRAC_CONST(0.93733901191257496),
+ FRAC_CONST(0.93790785562129597),
+ FRAC_CONST(0.93847418826842988),
+ FRAC_CONST(0.93903800833773399),
+ FRAC_CONST(0.93959931431969212),
+ FRAC_CONST(0.94015810471151917),
+ FRAC_CONST(0.94071437801716529),
+ FRAC_CONST(0.94126813274731924),
+ FRAC_CONST(0.94181936741941319),
+ FRAC_CONST(0.94236808055762578),
+ FRAC_CONST(0.94291427069288691),
+ FRAC_CONST(0.94345793636288133),
+ FRAC_CONST(0.94399907611205225),
+ FRAC_CONST(0.9445376884916058),
+ FRAC_CONST(0.94507377205951448),
+ FRAC_CONST(0.94560732538052128),
+ FRAC_CONST(0.94613834702614352),
+ FRAC_CONST(0.94666683557467624),
+ FRAC_CONST(0.94719278961119657),
+ FRAC_CONST(0.94771620772756759),
+ FRAC_CONST(0.94823708852244104),
+ FRAC_CONST(0.94875543060126255),
+ FRAC_CONST(0.94927123257627433),
+ FRAC_CONST(0.94978449306651924),
+ FRAC_CONST(0.95029521069784428),
+ FRAC_CONST(0.9508033841029051),
+ FRAC_CONST(0.95130901192116835),
+ FRAC_CONST(0.9518120927989161),
+ FRAC_CONST(0.95231262538924943),
+ FRAC_CONST(0.95281060835209208),
+ FRAC_CONST(0.95330604035419386),
+ FRAC_CONST(0.95379892006913403),
+ FRAC_CONST(0.95428924617732525),
+ FRAC_CONST(0.95477701736601728),
+ FRAC_CONST(0.95526223232929941),
+ FRAC_CONST(0.95574488976810545),
+ FRAC_CONST(0.95622498839021619),
+ FRAC_CONST(0.95670252691026292),
+ FRAC_CONST(0.95717750404973156),
+ FRAC_CONST(0.95764991853696524),
+ FRAC_CONST(0.95811976910716812),
+ FRAC_CONST(0.95858705450240911),
+ FRAC_CONST(0.95905177347162429),
+ FRAC_CONST(0.95951392477062125),
+ FRAC_CONST(0.95997350716208196),
+ FRAC_CONST(0.96043051941556579),
+ FRAC_CONST(0.96088496030751369),
+ FRAC_CONST(0.96133682862125036),
+ FRAC_CONST(0.96178612314698864),
+ FRAC_CONST(0.96223284268183173),
+ FRAC_CONST(0.9626769860297768),
+ FRAC_CONST(0.96311855200171881),
+ FRAC_CONST(0.96355753941545252),
+ FRAC_CONST(0.96399394709567654),
+ FRAC_CONST(0.96442777387399625),
+ FRAC_CONST(0.96485901858892686),
+ FRAC_CONST(0.96528768008589627),
+ FRAC_CONST(0.96571375721724895),
+ FRAC_CONST(0.96613724884224783),
+ FRAC_CONST(0.96655815382707866),
+ FRAC_CONST(0.96697647104485207),
+ FRAC_CONST(0.96739219937560694),
+ FRAC_CONST(0.96780533770631338),
+ FRAC_CONST(0.96821588493087585),
+ FRAC_CONST(0.9686238399501359),
+ FRAC_CONST(0.96902920167187501),
+ FRAC_CONST(0.96943196901081796),
+ FRAC_CONST(0.96983214088863534),
+ FRAC_CONST(0.9702297162339466),
+ FRAC_CONST(0.97062469398232287),
+ FRAC_CONST(0.97101707307629004),
+ FRAC_CONST(0.97140685246533098),
+ FRAC_CONST(0.97179403110588902),
+ FRAC_CONST(0.97217860796137046),
+ FRAC_CONST(0.97256058200214734),
+ FRAC_CONST(0.97293995220556007),
+ FRAC_CONST(0.97331671755592064),
+ FRAC_CONST(0.97369087704451474),
+ FRAC_CONST(0.97406242966960455),
+ FRAC_CONST(0.97443137443643235),
+ FRAC_CONST(0.97479771035722163),
+ FRAC_CONST(0.97516143645118103),
+ FRAC_CONST(0.97552255174450631),
+ FRAC_CONST(0.97588105527038305),
+ FRAC_CONST(0.97623694606898959),
+ FRAC_CONST(0.97659022318749911),
+ FRAC_CONST(0.97694088568008242),
+ FRAC_CONST(0.97728893260791039),
+ FRAC_CONST(0.97763436303915685),
+ FRAC_CONST(0.97797717604900047),
+ FRAC_CONST(0.97831737071962765),
+ FRAC_CONST(0.97865494614023485),
+ FRAC_CONST(0.97898990140703124),
+ FRAC_CONST(0.97932223562324061),
+ FRAC_CONST(0.97965194789910426),
+ FRAC_CONST(0.9799790373518833),
+ FRAC_CONST(0.98030350310586067),
+ FRAC_CONST(0.98062534429234405),
+ FRAC_CONST(0.98094456004966768),
+ FRAC_CONST(0.98126114952319499),
+ FRAC_CONST(0.98157511186532054),
+ FRAC_CONST(0.98188644623547261),
+ FRAC_CONST(0.98219515180011563),
+ FRAC_CONST(0.98250122773275184),
+ FRAC_CONST(0.98280467321392362),
+ FRAC_CONST(0.98310548743121629),
+ FRAC_CONST(0.98340366957925973),
+ FRAC_CONST(0.98369921885973044),
+ FRAC_CONST(0.98399213448135414),
+ FRAC_CONST(0.98428241565990748),
+ FRAC_CONST(0.98457006161822058),
+ FRAC_CONST(0.98485507158617835),
+ FRAC_CONST(0.98513744480072363),
+ FRAC_CONST(0.98541718050585803),
+ FRAC_CONST(0.98569427795264519),
+ FRAC_CONST(0.98596873639921168),
+ FRAC_CONST(0.98624055511074971),
+ FRAC_CONST(0.98650973335951875),
+ FRAC_CONST(0.98677627042484772),
+ FRAC_CONST(0.98704016559313645),
+ FRAC_CONST(0.98730141815785832),
+ FRAC_CONST(0.98756002741956173),
+ FRAC_CONST(0.9878159926858715),
+ FRAC_CONST(0.98806931327149194),
+ FRAC_CONST(0.98831998849820735),
+ FRAC_CONST(0.98856801769488489),
+ FRAC_CONST(0.98881340019747566),
+ FRAC_CONST(0.98905613534901682),
+ FRAC_CONST(0.98929622249963345),
+ FRAC_CONST(0.98953366100653983),
+ FRAC_CONST(0.98976845023404181),
+ FRAC_CONST(0.99000058955353776),
+ FRAC_CONST(0.99023007834352106),
+ FRAC_CONST(0.99045691598958097),
+ FRAC_CONST(0.99068110188440506),
+ FRAC_CONST(0.99090263542778001),
+ FRAC_CONST(0.99112151602659404),
+ FRAC_CONST(0.99133774309483769),
+ FRAC_CONST(0.99155131605360625),
+ FRAC_CONST(0.99176223433110056),
+ FRAC_CONST(0.99197049736262888),
+ FRAC_CONST(0.99217610459060845),
+ FRAC_CONST(0.99237905546456673),
+ FRAC_CONST(0.99257934944114334),
+ FRAC_CONST(0.99277698598409092),
+ FRAC_CONST(0.99297196456427694),
+ FRAC_CONST(0.99316428465968509),
+ FRAC_CONST(0.99335394575541669),
+ FRAC_CONST(0.99354094734369169),
+ FRAC_CONST(0.99372528892385081),
+ FRAC_CONST(0.99390697000235606),
+ FRAC_CONST(0.99408599009279242),
+ FRAC_CONST(0.99426234871586938),
+ FRAC_CONST(0.99443604539942176),
+ FRAC_CONST(0.99460707967841133),
+ FRAC_CONST(0.99477545109492771),
+ FRAC_CONST(0.99494115919819004),
+ FRAC_CONST(0.99510420354454787),
+ FRAC_CONST(0.99526458369748239),
+ FRAC_CONST(0.99542229922760772),
+ FRAC_CONST(0.99557734971267187),
+ FRAC_CONST(0.9957297347375581),
+ FRAC_CONST(0.99587945389428578),
+ FRAC_CONST(0.99602650678201154),
+ FRAC_CONST(0.99617089300703077),
+ FRAC_CONST(0.996312612182778),
+ FRAC_CONST(0.99645166392982831),
+ FRAC_CONST(0.99658804787589839),
+ FRAC_CONST(0.99672176365584741),
+ FRAC_CONST(0.99685281091167788),
+ FRAC_CONST(0.99698118929253687),
+ FRAC_CONST(0.99710689845471678),
+ FRAC_CONST(0.99722993806165661),
+ FRAC_CONST(0.99735030778394196),
+ FRAC_CONST(0.99746800729930707),
+ FRAC_CONST(0.99758303629263489),
+ FRAC_CONST(0.99769539445595812),
+ FRAC_CONST(0.99780508148846014),
+ FRAC_CONST(0.99791209709647588),
+ FRAC_CONST(0.99801644099349218),
+ FRAC_CONST(0.99811811290014918),
+ FRAC_CONST(0.9982171125442405),
+ FRAC_CONST(0.9983134396607144),
+ FRAC_CONST(0.99840709399167404),
+ FRAC_CONST(0.99849807528637868),
+ FRAC_CONST(0.99858638330124405),
+ FRAC_CONST(0.99867201779984294),
+ FRAC_CONST(0.99875497855290607),
+ FRAC_CONST(0.99883526533832245),
+ FRAC_CONST(0.99891287794114036),
+ FRAC_CONST(0.99898781615356746),
+ FRAC_CONST(0.99906007977497147),
+ FRAC_CONST(0.99912966861188113),
+ FRAC_CONST(0.99919658247798593),
+ FRAC_CONST(0.99926082119413751),
+ FRAC_CONST(0.99932238458834954),
+ FRAC_CONST(0.999381272495798),
+ FRAC_CONST(0.99943748475882255),
+ FRAC_CONST(0.9994910212269259),
+ FRAC_CONST(0.99954188175677483),
+ FRAC_CONST(0.99959006621220048),
+ FRAC_CONST(0.99963557446419837),
+ FRAC_CONST(0.99967840639092931),
+ FRAC_CONST(0.99971856187771946),
+ FRAC_CONST(0.99975604081706027),
+ FRAC_CONST(0.99979084310860955),
+ FRAC_CONST(0.99982296865919107),
+ FRAC_CONST(0.99985241738279484),
+ FRAC_CONST(0.99987918920057806),
+ FRAC_CONST(0.99990328404086426),
+ FRAC_CONST(0.9999247018391445),
+ FRAC_CONST(0.99994344253807688),
+ FRAC_CONST(0.99995950608748674),
+ FRAC_CONST(0.99997289244436727),
+ FRAC_CONST(0.99998360157287902),
+ FRAC_CONST(0.9999916334443506),
+ FRAC_CONST(0.99999698803727821),
+ FRAC_CONST(0.99999966533732598)
};
+#endif
-real_t sine_short_128[] =
+ALIGN static const real_t sine_short_128[] =
{
- COEF_CONST(0.0061358848),
- COEF_CONST(0.0184067304),
- COEF_CONST(0.0306748040),
- COEF_CONST(0.0429382581),
- COEF_CONST(0.0551952459),
- COEF_CONST(0.0674439214),
- COEF_CONST(0.0796824402),
- COEF_CONST(0.0919089590),
- COEF_CONST(0.1041216368),
- COEF_CONST(0.1163186341),
- COEF_CONST(0.1284981143),
- COEF_CONST(0.1406582432),
- COEF_CONST(0.1527971895),
- COEF_CONST(0.1649131250),
- COEF_CONST(0.1770042253),
- COEF_CONST(0.1890686693),
- COEF_CONST(0.2011046404),
- COEF_CONST(0.2131103258),
- COEF_CONST(0.2250839175),
- COEF_CONST(0.2370236125),
- COEF_CONST(0.2489276125),
- COEF_CONST(0.2607941250),
- COEF_CONST(0.2726213628),
- COEF_CONST(0.2844075449),
- COEF_CONST(0.2961508962),
- COEF_CONST(0.3078496483),
- COEF_CONST(0.3195020394),
- COEF_CONST(0.3311063146),
- COEF_CONST(0.3426607265),
- COEF_CONST(0.3541635348),
- COEF_CONST(0.3656130075),
- COEF_CONST(0.3770074202),
- COEF_CONST(0.3883450569),
- COEF_CONST(0.3996242103),
- COEF_CONST(0.4108431818),
- COEF_CONST(0.4220002818),
- COEF_CONST(0.4330938301),
- COEF_CONST(0.4441221560),
- COEF_CONST(0.4550835988),
- COEF_CONST(0.4659765077),
- COEF_CONST(0.4767992422),
- COEF_CONST(0.4875501725),
- COEF_CONST(0.4982276796),
- COEF_CONST(0.5088301553),
- COEF_CONST(0.5193560032),
- COEF_CONST(0.5298036379),
- COEF_CONST(0.5401714861),
- COEF_CONST(0.5504579865),
- COEF_CONST(0.5606615899),
- COEF_CONST(0.5707807598),
- COEF_CONST(0.5808139721),
- COEF_CONST(0.5907597160),
- COEF_CONST(0.6006164937),
- COEF_CONST(0.6103828207),
- COEF_CONST(0.6200572264),
- COEF_CONST(0.6296382536),
- COEF_CONST(0.6391244597),
- COEF_CONST(0.6485144160),
- COEF_CONST(0.6578067083),
- COEF_CONST(0.6669999374),
- COEF_CONST(0.6760927188),
- COEF_CONST(0.6850836831),
- COEF_CONST(0.6939714763),
- COEF_CONST(0.7027547599),
- COEF_CONST(0.7114322112),
- COEF_CONST(0.7200025235),
- COEF_CONST(0.7284644060),
- COEF_CONST(0.7368165845),
- COEF_CONST(0.7450578010),
- COEF_CONST(0.7531868147),
- COEF_CONST(0.7612024011),
- COEF_CONST(0.7691033533),
- COEF_CONST(0.7768884813),
- COEF_CONST(0.7845566127),
- COEF_CONST(0.7921065928),
- COEF_CONST(0.7995372846),
- COEF_CONST(0.8068475690),
- COEF_CONST(0.8140363451),
- COEF_CONST(0.8211025303),
- COEF_CONST(0.8280450605),
- COEF_CONST(0.8348628901),
- COEF_CONST(0.8415549925),
- COEF_CONST(0.8481203597),
- COEF_CONST(0.8545580032),
- COEF_CONST(0.8608669533),
- COEF_CONST(0.8670462601),
- COEF_CONST(0.8730949928),
- COEF_CONST(0.8790122407),
- COEF_CONST(0.8847971125),
- COEF_CONST(0.8904487372),
- COEF_CONST(0.8959662635),
- COEF_CONST(0.9013488606),
- COEF_CONST(0.9065957178),
- COEF_CONST(0.9117060451),
- COEF_CONST(0.9166790728),
- COEF_CONST(0.9215140520),
- COEF_CONST(0.9262102546),
- COEF_CONST(0.9307669733),
- COEF_CONST(0.9351835219),
- COEF_CONST(0.9394592352),
- COEF_CONST(0.9435934695),
- COEF_CONST(0.9475856021),
- COEF_CONST(0.9514350317),
- COEF_CONST(0.9551411788),
- COEF_CONST(0.9587034850),
- COEF_CONST(0.9621214141),
- COEF_CONST(0.9653944512),
- COEF_CONST(0.9685221034),
- COEF_CONST(0.9715038998),
- COEF_CONST(0.9743393912),
- COEF_CONST(0.9770281507),
- COEF_CONST(0.9795697733),
- COEF_CONST(0.9819638764),
- COEF_CONST(0.9842100992),
- COEF_CONST(0.9863081037),
- COEF_CONST(0.9882575738),
- COEF_CONST(0.9900582159),
- COEF_CONST(0.9917097588),
- COEF_CONST(0.9932119539),
- COEF_CONST(0.9945645750),
- COEF_CONST(0.9957674182),
- COEF_CONST(0.9968203026),
- COEF_CONST(0.9977230695),
- COEF_CONST(0.9984755829),
- COEF_CONST(0.9990777296),
- COEF_CONST(0.9995294188),
- COEF_CONST(0.9998305826),
- COEF_CONST(0.9999811755)
+ FRAC_CONST(0.0061358846491544753),
+ FRAC_CONST(0.01840672990580482),
+ FRAC_CONST(0.030674803176636626),
+ FRAC_CONST(0.04293825693494082),
+ FRAC_CONST(0.055195244349689934),
+ FRAC_CONST(0.067443919563664051),
+ FRAC_CONST(0.079682437971430126),
+ FRAC_CONST(0.091908956497132724),
+ FRAC_CONST(0.10412163387205459),
+ FRAC_CONST(0.11631863091190475),
+ FRAC_CONST(0.12849811079379317),
+ FRAC_CONST(0.14065823933284921),
+ FRAC_CONST(0.15279718525844344),
+ FRAC_CONST(0.16491312048996989),
+ FRAC_CONST(0.17700422041214875),
+ FRAC_CONST(0.18906866414980619),
+ FRAC_CONST(0.2011046348420919),
+ FRAC_CONST(0.21311031991609136),
+ FRAC_CONST(0.22508391135979283),
+ FRAC_CONST(0.2370236059943672),
+ FRAC_CONST(0.24892760574572015),
+ FRAC_CONST(0.26079411791527551),
+ FRAC_CONST(0.27262135544994898),
+ FRAC_CONST(0.28440753721127188),
+ FRAC_CONST(0.29615088824362379),
+ FRAC_CONST(0.30784964004153487),
+ FRAC_CONST(0.31950203081601569),
+ FRAC_CONST(0.33110630575987643),
+ FRAC_CONST(0.34266071731199438),
+ FRAC_CONST(0.35416352542049034),
+ FRAC_CONST(0.36561299780477385),
+ FRAC_CONST(0.37700741021641826),
+ FRAC_CONST(0.38834504669882625),
+ FRAC_CONST(0.39962419984564679),
+ FRAC_CONST(0.41084317105790391),
+ FRAC_CONST(0.42200027079979968),
+ FRAC_CONST(0.43309381885315196),
+ FRAC_CONST(0.4441221445704292),
+ FRAC_CONST(0.45508358712634384),
+ FRAC_CONST(0.46597649576796618),
+ FRAC_CONST(0.47679923006332209),
+ FRAC_CONST(0.487550160148436),
+ FRAC_CONST(0.49822766697278187),
+ FRAC_CONST(0.50883014254310699),
+ FRAC_CONST(0.51935599016558964),
+ FRAC_CONST(0.52980362468629461),
+ FRAC_CONST(0.54017147272989285),
+ FRAC_CONST(0.55045797293660481),
+ FRAC_CONST(0.56066157619733603),
+ FRAC_CONST(0.57078074588696726),
+ FRAC_CONST(0.58081395809576453),
+ FRAC_CONST(0.59075970185887416),
+ FRAC_CONST(0.60061647938386897),
+ FRAC_CONST(0.61038280627630948),
+ FRAC_CONST(0.6200572117632891),
+ FRAC_CONST(0.62963823891492698),
+ FRAC_CONST(0.63912444486377573),
+ FRAC_CONST(0.64851440102211244),
+ FRAC_CONST(0.65780669329707864),
+ FRAC_CONST(0.66699992230363747),
+ FRAC_CONST(0.67609270357531592),
+ FRAC_CONST(0.68508366777270036),
+ FRAC_CONST(0.693971460889654),
+ FRAC_CONST(0.7027547444572253),
+ FRAC_CONST(0.71143219574521643),
+ FRAC_CONST(0.72000250796138165),
+ FRAC_CONST(0.7284643904482252),
+ FRAC_CONST(0.73681656887736979),
+ FRAC_CONST(0.74505778544146595),
+ FRAC_CONST(0.75318679904361241),
+ FRAC_CONST(0.76120238548426178),
+ FRAC_CONST(0.76910333764557959),
+ FRAC_CONST(0.77688846567323244),
+ FRAC_CONST(0.78455659715557524),
+ FRAC_CONST(0.79210657730021239),
+ FRAC_CONST(0.79953726910790501),
+ FRAC_CONST(0.80684755354379922),
+ FRAC_CONST(0.8140363297059483),
+ FRAC_CONST(0.82110251499110465),
+ FRAC_CONST(0.8280450452577558),
+ FRAC_CONST(0.83486287498638001),
+ FRAC_CONST(0.84155497743689833),
+ FRAC_CONST(0.84812034480329712),
+ FRAC_CONST(0.85455798836540053),
+ FRAC_CONST(0.86086693863776731),
+ FRAC_CONST(0.86704624551569265),
+ FRAC_CONST(0.87309497841829009),
+ FRAC_CONST(0.87901222642863341),
+ FRAC_CONST(0.88479709843093779),
+ FRAC_CONST(0.89044872324475788),
+ FRAC_CONST(0.89596624975618511),
+ FRAC_CONST(0.90134884704602203),
+ FRAC_CONST(0.90659570451491533),
+ FRAC_CONST(0.91170603200542988),
+ FRAC_CONST(0.9166790599210427),
+ FRAC_CONST(0.9215140393420419),
+ FRAC_CONST(0.92621024213831127),
+ FRAC_CONST(0.93076696107898371),
+ FRAC_CONST(0.9351835099389475),
+ FRAC_CONST(0.93945922360218992),
+ FRAC_CONST(0.94359345816196039),
+ FRAC_CONST(0.94758559101774109),
+ FRAC_CONST(0.95143502096900834),
+ FRAC_CONST(0.95514116830577067),
+ FRAC_CONST(0.9587034748958716),
+ FRAC_CONST(0.96212140426904158),
+ FRAC_CONST(0.9653944416976894),
+ FRAC_CONST(0.96852209427441727),
+ FRAC_CONST(0.97150389098625178),
+ FRAC_CONST(0.97433938278557586),
+ FRAC_CONST(0.97702814265775439),
+ FRAC_CONST(0.97956976568544052),
+ FRAC_CONST(0.98196386910955524),
+ FRAC_CONST(0.98421009238692903),
+ FRAC_CONST(0.98630809724459867),
+ FRAC_CONST(0.98825756773074946),
+ FRAC_CONST(0.99005821026229712),
+ FRAC_CONST(0.99170975366909953),
+ FRAC_CONST(0.9932119492347945),
+ FRAC_CONST(0.99456457073425542),
+ FRAC_CONST(0.99576741446765982),
+ FRAC_CONST(0.99682029929116567),
+ FRAC_CONST(0.99772306664419164),
+ FRAC_CONST(0.99847558057329477),
+ FRAC_CONST(0.99907772775264536),
+ FRAC_CONST(0.99952941750109314),
+ FRAC_CONST(0.9998305817958234),
+ FRAC_CONST(0.99998117528260111)
};
-real_t sine_short_120[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const real_t sine_short_120[] =
{
- COEF_CONST(0.0065449381),
- COEF_CONST(0.0196336930),
- COEF_CONST(0.0327190837),
- COEF_CONST(0.0457988682),
- COEF_CONST(0.0588708053),
- COEF_CONST(0.0719326552),
- COEF_CONST(0.0849821797),
- COEF_CONST(0.0980171430),
- COEF_CONST(0.1110353116),
- COEF_CONST(0.1240344549),
- COEF_CONST(0.1370123455),
- COEF_CONST(0.1499667597),
- COEF_CONST(0.1628954779),
- COEF_CONST(0.1757962848),
- COEF_CONST(0.1886669699),
- COEF_CONST(0.2015053279),
- COEF_CONST(0.2143091589),
- COEF_CONST(0.2270762692),
- COEF_CONST(0.2398044712),
- COEF_CONST(0.2524915839),
- COEF_CONST(0.2651354334),
- COEF_CONST(0.2777338534),
- COEF_CONST(0.2902846851),
- COEF_CONST(0.3027857780),
- COEF_CONST(0.3152349901),
- COEF_CONST(0.3276301883),
- COEF_CONST(0.3399692488),
- COEF_CONST(0.3522500573),
- COEF_CONST(0.3644705095),
- COEF_CONST(0.3766285116),
- COEF_CONST(0.3887219804),
- COEF_CONST(0.4007488436),
- COEF_CONST(0.4127070406),
- COEF_CONST(0.4245945223),
- COEF_CONST(0.4364092520),
- COEF_CONST(0.4481492051),
- COEF_CONST(0.4598123703),
- COEF_CONST(0.4713967489),
- COEF_CONST(0.4829003561),
- COEF_CONST(0.4943212208),
- COEF_CONST(0.5056573861),
- COEF_CONST(0.5169069096),
- COEF_CONST(0.5280678638),
- COEF_CONST(0.5391383363),
- COEF_CONST(0.5501164301),
- COEF_CONST(0.5610002644),
- COEF_CONST(0.5717879741),
- COEF_CONST(0.5824777109),
- COEF_CONST(0.5930676432),
- COEF_CONST(0.6035559563),
- COEF_CONST(0.6139408533),
- COEF_CONST(0.6242205546),
- COEF_CONST(0.6343932989),
- COEF_CONST(0.6444573433),
- COEF_CONST(0.6544109631),
- COEF_CONST(0.6642524530),
- COEF_CONST(0.6739801267),
- COEF_CONST(0.6835923173),
- COEF_CONST(0.6930873779),
- COEF_CONST(0.7024636815),
- COEF_CONST(0.7117196216),
- COEF_CONST(0.7208536122),
- COEF_CONST(0.7298640883),
- COEF_CONST(0.7387495058),
- COEF_CONST(0.7475083425),
- COEF_CONST(0.7561390974),
- COEF_CONST(0.7646402918),
- COEF_CONST(0.7730104690),
- COEF_CONST(0.7812481948),
- COEF_CONST(0.7893520577),
- COEF_CONST(0.7973206693),
- COEF_CONST(0.8051526640),
- COEF_CONST(0.8128467000),
- COEF_CONST(0.8204014588),
- COEF_CONST(0.8278156461),
- COEF_CONST(0.8350879914),
- COEF_CONST(0.8422172487),
- COEF_CONST(0.8492021964),
- COEF_CONST(0.8560416377),
- COEF_CONST(0.8627344006),
- COEF_CONST(0.8692793384),
- COEF_CONST(0.8756753297),
- COEF_CONST(0.8819212785),
- COEF_CONST(0.8880161146),
- COEF_CONST(0.8939587938),
- COEF_CONST(0.8997482976),
- COEF_CONST(0.9053836343),
- COEF_CONST(0.9108638381),
- COEF_CONST(0.9161879700),
- COEF_CONST(0.9213551179),
- COEF_CONST(0.9263643963),
- COEF_CONST(0.9312149469),
- COEF_CONST(0.9359059386),
- COEF_CONST(0.9404365677),
- COEF_CONST(0.9448060577),
- COEF_CONST(0.9490136602),
- COEF_CONST(0.9530586539),
- COEF_CONST(0.9569403460),
- COEF_CONST(0.9606580713),
- COEF_CONST(0.9642111928),
- COEF_CONST(0.9675991016),
- COEF_CONST(0.9708212173),
- COEF_CONST(0.9738769878),
- COEF_CONST(0.9767658894),
- COEF_CONST(0.9794874272),
- COEF_CONST(0.9820411349),
- COEF_CONST(0.9844265749),
- COEF_CONST(0.9866433385),
- COEF_CONST(0.9886910458),
- COEF_CONST(0.9905693459),
- COEF_CONST(0.9922779171),
- COEF_CONST(0.9938164666),
- COEF_CONST(0.9951847307),
- COEF_CONST(0.9963824750),
- COEF_CONST(0.9974094943),
- COEF_CONST(0.9982656127),
- COEF_CONST(0.9989506833),
- COEF_CONST(0.9994645889),
- COEF_CONST(0.9998072413),
- COEF_CONST(0.9999785819)
+ FRAC_CONST(0.0065449379673518581),
+ FRAC_CONST(0.019633692460628301),
+ FRAC_CONST(0.032719082821776137),
+ FRAC_CONST(0.045798866936520771),
+ FRAC_CONST(0.058870803651189033),
+ FRAC_CONST(0.071932653156719387),
+ FRAC_CONST(0.084982177372441667),
+ FRAC_CONST(0.09801714032956059),
+ FRAC_CONST(0.11103530855427769),
+ FRAC_CONST(0.12403445145048532),
+ FRAC_CONST(0.13701234168196802),
+ FRAC_CONST(0.14996675555404498),
+ FRAC_CONST(0.16289547339458874),
+ FRAC_CONST(0.17579627993435451),
+ FRAC_CONST(0.18866696468655525),
+ FRAC_CONST(0.2015053223256171),
+ FRAC_CONST(0.21430915306505074),
+ FRAC_CONST(0.2270762630343732),
+ FRAC_CONST(0.23980446465501654),
+ FRAC_CONST(0.25249157701515795),
+ FRAC_CONST(0.26513542624340797),
+ FRAC_CONST(0.27773384588129219),
+ FRAC_CONST(0.29028467725446233),
+ FRAC_CONST(0.3027857698425746),
+ FRAC_CONST(0.31523498164776964),
+ FRAC_CONST(0.32763017956169349),
+ FRAC_CONST(0.33996923973099424),
+ FRAC_CONST(0.35225004792123354),
+ FRAC_CONST(0.36447049987914965),
+ FRAC_CONST(0.37662850169321077),
+ FRAC_CONST(0.38872197015239557),
+ FRAC_CONST(0.40074883310314097),
+ FRAC_CONST(0.41270702980439467),
+ FRAC_CONST(0.42459451128071307),
+ FRAC_CONST(0.43640924067334208),
+ FRAC_CONST(0.44814919358922256),
+ FRAC_CONST(0.45981235844785984),
+ FRAC_CONST(0.47139673682599764),
+ FRAC_CONST(0.48290034380003727),
+ FRAC_CONST(0.49432120828614462),
+ FRAC_CONST(0.50565737337798455),
+ FRAC_CONST(0.51690689668202761),
+ FRAC_CONST(0.52806785065036799),
+ FRAC_CONST(0.53913832291100017),
+ FRAC_CONST(0.55011641659549337),
+ FRAC_CONST(0.56100025066400983),
+ FRAC_CONST(0.57178796022761225),
+ FRAC_CONST(0.58247769686780215),
+ FRAC_CONST(0.59306762895323706),
+ FRAC_CONST(0.60355594195357143),
+ FRAC_CONST(0.61394083875036642),
+ FRAC_CONST(0.62422053994501758),
+ FRAC_CONST(0.63439328416364549),
+ FRAC_CONST(0.64445732835889735),
+ FRAC_CONST(0.65441094810861034),
+ FRAC_CONST(0.66425243791128175),
+ FRAC_CONST(0.67398011147829784),
+ FRAC_CONST(0.68359230202287125),
+ FRAC_CONST(0.69308736254563585),
+ FRAC_CONST(0.70246366611685174),
+ FRAC_CONST(0.71171960615517138),
+ FRAC_CONST(0.72085359670291882),
+ FRAC_CONST(0.7298640726978356),
+ FRAC_CONST(0.73874949024124625),
+ FRAC_CONST(0.74750832686259672),
+ FRAC_CONST(0.75613908178032285),
+ FRAC_CONST(0.76464027615900032),
+ FRAC_CONST(0.77301045336273699),
+ FRAC_CONST(0.78124817920475853),
+ FRAC_CONST(0.78935204219315003),
+ FRAC_CONST(0.79732065377270711),
+ FRAC_CONST(0.80515264856285829),
+ FRAC_CONST(0.81284668459161513),
+ FRAC_CONST(0.82040144352551359),
+ FRAC_CONST(0.82781563089550203),
+ FRAC_CONST(0.83508797631874299),
+ FRAC_CONST(0.84221723371628654),
+ FRAC_CONST(0.84920218152657889),
+ FRAC_CONST(0.85604162291477137),
+ FRAC_CONST(0.86273438597779184),
+ FRAC_CONST(0.86927932394514362),
+ FRAC_CONST(0.87567531537539967),
+ FRAC_CONST(0.88192126434835494),
+ FRAC_CONST(0.88801610065280734),
+ FRAC_CONST(0.89395877996993212),
+ FRAC_CONST(0.8997482840522214),
+ FRAC_CONST(0.90538362089795521),
+ FRAC_CONST(0.91086382492117568),
+ FRAC_CONST(0.91618795711713596),
+ FRAC_CONST(0.92135510522319242),
+ FRAC_CONST(0.9263643838751181),
+ FRAC_CONST(0.93121493475880346),
+ FRAC_CONST(0.93590592675732565),
+ FRAC_CONST(0.94043655609335486),
+ FRAC_CONST(0.94480604646687805),
+ FRAC_CONST(0.94901364918821385),
+ FRAC_CONST(0.95305864330629697),
+ FRAC_CONST(0.95694033573220882),
+ FRAC_CONST(0.9606580613579353),
+ FRAC_CONST(0.96421118317032928),
+ FRAC_CONST(0.96759909236025976),
+ FRAC_CONST(0.9708212084269281),
+ FRAC_CONST(0.97387697927733363),
+ FRAC_CONST(0.97676588132087239),
+ FRAC_CONST(0.97948741955905139),
+ FRAC_CONST(0.98204112767030394),
+ FRAC_CONST(0.98442656808989171),
+ FRAC_CONST(0.98664333208487898),
+ FRAC_CONST(0.98869103982416728),
+ FRAC_CONST(0.99056934044357725),
+ FRAC_CONST(0.99227791210596705),
+ FRAC_CONST(0.99381646205637808),
+ FRAC_CONST(0.99518472667219682),
+ FRAC_CONST(0.99638247150832537),
+ FRAC_CONST(0.99740949133735191),
+ FRAC_CONST(0.99826561018471593),
+ FRAC_CONST(0.99895068135886012),
+ FRAC_CONST(0.99946458747636568),
+ FRAC_CONST(0.99980724048206482),
+ FRAC_CONST(0.99997858166412923)
};
+#endif
#ifdef LD_DEC
-real_t sine_mid_512[] =
+ALIGN static const real_t sine_mid_512[] =
{
- COEF_CONST(0.0015339802),
- COEF_CONST(0.0046019262),
- COEF_CONST(0.0076698290),
- COEF_CONST(0.0107376595),
- COEF_CONST(0.0138053889),
- COEF_CONST(0.0168729884),
- COEF_CONST(0.0199404291),
- COEF_CONST(0.0230076821),
- COEF_CONST(0.0260747186),
- COEF_CONST(0.0291415096),
- COEF_CONST(0.0322080263),
- COEF_CONST(0.0352742399),
- COEF_CONST(0.0383401214),
- COEF_CONST(0.0414056421),
- COEF_CONST(0.0444707731),
- COEF_CONST(0.0475354855),
- COEF_CONST(0.0505997504),
- COEF_CONST(0.0536635391),
- COEF_CONST(0.0567268227),
- COEF_CONST(0.0597895724),
- COEF_CONST(0.0628517593),
- COEF_CONST(0.0659133546),
- COEF_CONST(0.0689743295),
- COEF_CONST(0.0720346552),
- COEF_CONST(0.0750943029),
- COEF_CONST(0.0781532438),
- COEF_CONST(0.0812114491),
- COEF_CONST(0.0842688899),
- COEF_CONST(0.0873255376),
- COEF_CONST(0.0903813634),
- COEF_CONST(0.0934363384),
- COEF_CONST(0.0964904340),
- COEF_CONST(0.0995436214),
- COEF_CONST(0.1025958719),
- COEF_CONST(0.1056471566),
- COEF_CONST(0.1086974470),
- COEF_CONST(0.1117467143),
- COEF_CONST(0.1147949298),
- COEF_CONST(0.1178420648),
- COEF_CONST(0.1208880906),
- COEF_CONST(0.1239329785),
- COEF_CONST(0.1269767000),
- COEF_CONST(0.1300192263),
- COEF_CONST(0.1330605288),
- COEF_CONST(0.1361005789),
- COEF_CONST(0.1391393480),
- COEF_CONST(0.1421768074),
- COEF_CONST(0.1452129287),
- COEF_CONST(0.1482476831),
- COEF_CONST(0.1512810421),
- COEF_CONST(0.1543129773),
- COEF_CONST(0.1573434600),
- COEF_CONST(0.1603724617),
- COEF_CONST(0.1633999539),
- COEF_CONST(0.1664259081),
- COEF_CONST(0.1694502959),
- COEF_CONST(0.1724730887),
- COEF_CONST(0.1754942582),
- COEF_CONST(0.1785137759),
- COEF_CONST(0.1815316133),
- COEF_CONST(0.1845477420),
- COEF_CONST(0.1875621337),
- COEF_CONST(0.1905747601),
- COEF_CONST(0.1935855926),
- COEF_CONST(0.1965946031),
- COEF_CONST(0.1996017631),
- COEF_CONST(0.2026070444),
- COEF_CONST(0.2056104187),
- COEF_CONST(0.2086118577),
- COEF_CONST(0.2116113332),
- COEF_CONST(0.2146088169),
- COEF_CONST(0.2176042806),
- COEF_CONST(0.2205976961),
- COEF_CONST(0.2235890353),
- COEF_CONST(0.2265782700),
- COEF_CONST(0.2295653721),
- COEF_CONST(0.2325503134),
- COEF_CONST(0.2355330658),
- COEF_CONST(0.2385136014),
- COEF_CONST(0.2414918919),
- COEF_CONST(0.2444679094),
- COEF_CONST(0.2474416259),
- COEF_CONST(0.2504130134),
- COEF_CONST(0.2533820439),
- COEF_CONST(0.2563486895),
- COEF_CONST(0.2593129222),
- COEF_CONST(0.2622747142),
- COEF_CONST(0.2652340375),
- COEF_CONST(0.2681908643),
- COEF_CONST(0.2711451669),
- COEF_CONST(0.2740969173),
- COEF_CONST(0.2770460878),
- COEF_CONST(0.2799926507),
- COEF_CONST(0.2829365781),
- COEF_CONST(0.2858778425),
- COEF_CONST(0.2888164160),
- COEF_CONST(0.2917522711),
- COEF_CONST(0.2946853801),
- COEF_CONST(0.2976157155),
- COEF_CONST(0.3005432495),
- COEF_CONST(0.3034679547),
- COEF_CONST(0.3063898036),
- COEF_CONST(0.3093087686),
- COEF_CONST(0.3122248223),
- COEF_CONST(0.3151379372),
- COEF_CONST(0.3180480859),
- COEF_CONST(0.3209552410),
- COEF_CONST(0.3238593752),
- COEF_CONST(0.3267604611),
- COEF_CONST(0.3296584714),
- COEF_CONST(0.3325533788),
- COEF_CONST(0.3354451561),
- COEF_CONST(0.3383337760),
- COEF_CONST(0.3412192114),
- COEF_CONST(0.3441014352),
- COEF_CONST(0.3469804201),
- COEF_CONST(0.3498561391),
- COEF_CONST(0.3527285651),
- COEF_CONST(0.3555976712),
- COEF_CONST(0.3584634302),
- COEF_CONST(0.3613258152),
- COEF_CONST(0.3641847992),
- COEF_CONST(0.3670403554),
- COEF_CONST(0.3698924569),
- COEF_CONST(0.3727410769),
- COEF_CONST(0.3755861884),
- COEF_CONST(0.3784277648),
- COEF_CONST(0.3812657793),
- COEF_CONST(0.3841002051),
- COEF_CONST(0.3869310157),
- COEF_CONST(0.3897581843),
- COEF_CONST(0.3925816844),
- COEF_CONST(0.3954014893),
- COEF_CONST(0.3982175726),
- COEF_CONST(0.4010299077),
- COEF_CONST(0.4038384682),
- COEF_CONST(0.4066432275),
- COEF_CONST(0.4094441594),
- COEF_CONST(0.4122412374),
- COEF_CONST(0.4150344353),
- COEF_CONST(0.4178237267),
- COEF_CONST(0.4206090854),
- COEF_CONST(0.4233904852),
- COEF_CONST(0.4261678998),
- COEF_CONST(0.4289413032),
- COEF_CONST(0.4317106692),
- COEF_CONST(0.4344759718),
- COEF_CONST(0.4372371850),
- COEF_CONST(0.4399942827),
- COEF_CONST(0.4427472390),
- COEF_CONST(0.4454960280),
- COEF_CONST(0.4482406238),
- COEF_CONST(0.4509810007),
- COEF_CONST(0.4537171327),
- COEF_CONST(0.4564489941),
- COEF_CONST(0.4591765593),
- COEF_CONST(0.4618998026),
- COEF_CONST(0.4646186982),
- COEF_CONST(0.4673332207),
- COEF_CONST(0.4700433445),
- COEF_CONST(0.4727490440),
- COEF_CONST(0.4754502939),
- COEF_CONST(0.4781470686),
- COEF_CONST(0.4808393428),
- COEF_CONST(0.4835270912),
- COEF_CONST(0.4862102885),
- COEF_CONST(0.4888889093),
- COEF_CONST(0.4915629286),
- COEF_CONST(0.4942323210),
- COEF_CONST(0.4968970616),
- COEF_CONST(0.4995571252),
- COEF_CONST(0.5022124867),
- COEF_CONST(0.5048631212),
- COEF_CONST(0.5075090038),
- COEF_CONST(0.5101501095),
- COEF_CONST(0.5127864135),
- COEF_CONST(0.5154178909),
- COEF_CONST(0.5180445171),
- COEF_CONST(0.5206662672),
- COEF_CONST(0.5232831165),
- COEF_CONST(0.5258950406),
- COEF_CONST(0.5285020147),
- COEF_CONST(0.5311040144),
- COEF_CONST(0.5337010151),
- COEF_CONST(0.5362929924),
- COEF_CONST(0.5388799219),
- COEF_CONST(0.5414617792),
- COEF_CONST(0.5440385402),
- COEF_CONST(0.5466101804),
- COEF_CONST(0.5491766757),
- COEF_CONST(0.5517380020),
- COEF_CONST(0.5542941351),
- COEF_CONST(0.5568450509),
- COEF_CONST(0.5593907256),
- COEF_CONST(0.5619311350),
- COEF_CONST(0.5644662553),
- COEF_CONST(0.5669960626),
- COEF_CONST(0.5695205332),
- COEF_CONST(0.5720396432),
- COEF_CONST(0.5745533690),
- COEF_CONST(0.5770616868),
- COEF_CONST(0.5795645732),
- COEF_CONST(0.5820620044),
- COEF_CONST(0.5845539570),
- COEF_CONST(0.5870404077),
- COEF_CONST(0.5895213328),
- COEF_CONST(0.5919967092),
- COEF_CONST(0.5944665134),
- COEF_CONST(0.5969307223),
- COEF_CONST(0.5993893127),
- COEF_CONST(0.6018422614),
- COEF_CONST(0.6042895453),
- COEF_CONST(0.6067311415),
- COEF_CONST(0.6091670268),
- COEF_CONST(0.6115971784),
- COEF_CONST(0.6140215735),
- COEF_CONST(0.6164401891),
- COEF_CONST(0.6188530025),
- COEF_CONST(0.6212599911),
- COEF_CONST(0.6236611322),
- COEF_CONST(0.6260564031),
- COEF_CONST(0.6284457813),
- COEF_CONST(0.6308292444),
- COEF_CONST(0.6332067698),
- COEF_CONST(0.6355783353),
- COEF_CONST(0.6379439184),
- COEF_CONST(0.6403034970),
- COEF_CONST(0.6426570488),
- COEF_CONST(0.6450045517),
- COEF_CONST(0.6473459836),
- COEF_CONST(0.6496813224),
- COEF_CONST(0.6520105461),
- COEF_CONST(0.6543336328),
- COEF_CONST(0.6566505608),
- COEF_CONST(0.6589613080),
- COEF_CONST(0.6612658529),
- COEF_CONST(0.6635641737),
- COEF_CONST(0.6658562488),
- COEF_CONST(0.6681420566),
- COEF_CONST(0.6704215756),
- COEF_CONST(0.6726947843),
- COEF_CONST(0.6749616613),
- COEF_CONST(0.6772221854),
- COEF_CONST(0.6794763352),
- COEF_CONST(0.6817240894),
- COEF_CONST(0.6839654271),
- COEF_CONST(0.6862003270),
- COEF_CONST(0.6884287681),
- COEF_CONST(0.6906507295),
- COEF_CONST(0.6928661902),
- COEF_CONST(0.6950751294),
- COEF_CONST(0.6972775262),
- COEF_CONST(0.6994733600),
- COEF_CONST(0.7016626102),
- COEF_CONST(0.7038452560),
- COEF_CONST(0.7060212769),
- COEF_CONST(0.7081906525),
- COEF_CONST(0.7103533623),
- COEF_CONST(0.7125093860),
- COEF_CONST(0.7146587034),
- COEF_CONST(0.7168012940),
- COEF_CONST(0.7189371379),
- COEF_CONST(0.7210662148),
- COEF_CONST(0.7231885048),
- COEF_CONST(0.7253039879),
- COEF_CONST(0.7274126442),
- COEF_CONST(0.7295144537),
- COEF_CONST(0.7316093968),
- COEF_CONST(0.7336974537),
- COEF_CONST(0.7357786047),
- COEF_CONST(0.7378528304),
- COEF_CONST(0.7399201111),
- COEF_CONST(0.7419804273),
- COEF_CONST(0.7440337598),
- COEF_CONST(0.7460800891),
- COEF_CONST(0.7481193961),
- COEF_CONST(0.7501516614),
- COEF_CONST(0.7521768661),
- COEF_CONST(0.7541949909),
- COEF_CONST(0.7562060170),
- COEF_CONST(0.7582099254),
- COEF_CONST(0.7602066973),
- COEF_CONST(0.7621963137),
- COEF_CONST(0.7641787561),
- COEF_CONST(0.7661540058),
- COEF_CONST(0.7681220441),
- COEF_CONST(0.7700828526),
- COEF_CONST(0.7720364128),
- COEF_CONST(0.7739827062),
- COEF_CONST(0.7759217146),
- COEF_CONST(0.7778534198),
- COEF_CONST(0.7797778035),
- COEF_CONST(0.7816948476),
- COEF_CONST(0.7836045342),
- COEF_CONST(0.7855068451),
- COEF_CONST(0.7874017626),
- COEF_CONST(0.7892892687),
- COEF_CONST(0.7911693458),
- COEF_CONST(0.7930419760),
- COEF_CONST(0.7949071418),
- COEF_CONST(0.7967648257),
- COEF_CONST(0.7986150101),
- COEF_CONST(0.8004576777),
- COEF_CONST(0.8022928110),
- COEF_CONST(0.8041203929),
- COEF_CONST(0.8059404060),
- COEF_CONST(0.8077528334),
- COEF_CONST(0.8095576578),
- COEF_CONST(0.8113548624),
- COEF_CONST(0.8131444302),
- COEF_CONST(0.8149263444),
- COEF_CONST(0.8167005882),
- COEF_CONST(0.8184671449),
- COEF_CONST(0.8202259979),
- COEF_CONST(0.8219771306),
- COEF_CONST(0.8237205265),
- COEF_CONST(0.8254561693),
- COEF_CONST(0.8271840425),
- COEF_CONST(0.8289041300),
- COEF_CONST(0.8306164155),
- COEF_CONST(0.8323208829),
- COEF_CONST(0.8340175162),
- COEF_CONST(0.8357062995),
- COEF_CONST(0.8373872167),
- COEF_CONST(0.8390602521),
- COEF_CONST(0.8407253900),
- COEF_CONST(0.8423826147),
- COEF_CONST(0.8440319105),
- COEF_CONST(0.8456732620),
- COEF_CONST(0.8473066536),
- COEF_CONST(0.8489320701),
- COEF_CONST(0.8505494961),
- COEF_CONST(0.8521589165),
- COEF_CONST(0.8537603160),
- COEF_CONST(0.8553536795),
- COEF_CONST(0.8569389922),
- COEF_CONST(0.8585162390),
- COEF_CONST(0.8600854051),
- COEF_CONST(0.8616464758),
- COEF_CONST(0.8631994363),
- COEF_CONST(0.8647442721),
- COEF_CONST(0.8662809686),
- COEF_CONST(0.8678095113),
- COEF_CONST(0.8693298858),
- COEF_CONST(0.8708420779),
- COEF_CONST(0.8723460733),
- COEF_CONST(0.8738418578),
- COEF_CONST(0.8753294174),
- COEF_CONST(0.8768087381),
- COEF_CONST(0.8782798059),
- COEF_CONST(0.8797426070),
- COEF_CONST(0.8811971277),
- COEF_CONST(0.8826433541),
- COEF_CONST(0.8840812728),
- COEF_CONST(0.8855108702),
- COEF_CONST(0.8869321328),
- COEF_CONST(0.8883450473),
- COEF_CONST(0.8897496003),
- COEF_CONST(0.8911457787),
- COEF_CONST(0.8925335692),
- COEF_CONST(0.8939129589),
- COEF_CONST(0.8952839348),
- COEF_CONST(0.8966464839),
- COEF_CONST(0.8980005934),
- COEF_CONST(0.8993462506),
- COEF_CONST(0.9006834428),
- COEF_CONST(0.9020121574),
- COEF_CONST(0.9033323820),
- COEF_CONST(0.9046441040),
- COEF_CONST(0.9059473112),
- COEF_CONST(0.9072419912),
- COEF_CONST(0.9085281320),
- COEF_CONST(0.9098057213),
- COEF_CONST(0.9110747472),
- COEF_CONST(0.9123351977),
- COEF_CONST(0.9135870610),
- COEF_CONST(0.9148303252),
- COEF_CONST(0.9160649787),
- COEF_CONST(0.9172910099),
- COEF_CONST(0.9185084071),
- COEF_CONST(0.9197171590),
- COEF_CONST(0.9209172542),
- COEF_CONST(0.9221086814),
- COEF_CONST(0.9232914293),
- COEF_CONST(0.9244654868),
- COEF_CONST(0.9256308430),
- COEF_CONST(0.9267874867),
- COEF_CONST(0.9279354072),
- COEF_CONST(0.9290745935),
- COEF_CONST(0.9302050351),
- COEF_CONST(0.9313267212),
- COEF_CONST(0.9324396413),
- COEF_CONST(0.9335437850),
- COEF_CONST(0.9346391418),
- COEF_CONST(0.9357257014),
- COEF_CONST(0.9368034535),
- COEF_CONST(0.9378723882),
- COEF_CONST(0.9389324952),
- COEF_CONST(0.9399837646),
- COEF_CONST(0.9410261866),
- COEF_CONST(0.9420597512),
- COEF_CONST(0.9430844489),
- COEF_CONST(0.9441002698),
- COEF_CONST(0.9451072045),
- COEF_CONST(0.9461052436),
- COEF_CONST(0.9470943775),
- COEF_CONST(0.9480745970),
- COEF_CONST(0.9490458928),
- COEF_CONST(0.9500082559),
- COEF_CONST(0.9509616771),
- COEF_CONST(0.9519061475),
- COEF_CONST(0.9528416583),
- COEF_CONST(0.9537682005),
- COEF_CONST(0.9546857654),
- COEF_CONST(0.9555943446),
- COEF_CONST(0.9564939293),
- COEF_CONST(0.9573845111),
- COEF_CONST(0.9582660816),
- COEF_CONST(0.9591386326),
- COEF_CONST(0.9600021558),
- COEF_CONST(0.9608566431),
- COEF_CONST(0.9617020864),
- COEF_CONST(0.9625384778),
- COEF_CONST(0.9633658095),
- COEF_CONST(0.9641840736),
- COEF_CONST(0.9649932624),
- COEF_CONST(0.9657933683),
- COEF_CONST(0.9665843838),
- COEF_CONST(0.9673663015),
- COEF_CONST(0.9681391139),
- COEF_CONST(0.9689028139),
- COEF_CONST(0.9696573941),
- COEF_CONST(0.9704028476),
- COEF_CONST(0.9711391673),
- COEF_CONST(0.9718663462),
- COEF_CONST(0.9725843776),
- COEF_CONST(0.9732932546),
- COEF_CONST(0.9739929706),
- COEF_CONST(0.9746835191),
- COEF_CONST(0.9753648934),
- COEF_CONST(0.9760370872),
- COEF_CONST(0.9767000942),
- COEF_CONST(0.9773539081),
- COEF_CONST(0.9779985228),
- COEF_CONST(0.9786339322),
- COEF_CONST(0.9792601304),
- COEF_CONST(0.9798771113),
- COEF_CONST(0.9804848693),
- COEF_CONST(0.9810833986),
- COEF_CONST(0.9816726935),
- COEF_CONST(0.9822527486),
- COEF_CONST(0.9828235583),
- COEF_CONST(0.9833851173),
- COEF_CONST(0.9839374204),
- COEF_CONST(0.9844804622),
- COEF_CONST(0.9850142377),
- COEF_CONST(0.9855387419),
- COEF_CONST(0.9860539698),
- COEF_CONST(0.9865599167),
- COEF_CONST(0.9870565776),
- COEF_CONST(0.9875439480),
- COEF_CONST(0.9880220232),
- COEF_CONST(0.9884907988),
- COEF_CONST(0.9889502704),
- COEF_CONST(0.9894004335),
- COEF_CONST(0.9898412841),
- COEF_CONST(0.9902728179),
- COEF_CONST(0.9906950309),
- COEF_CONST(0.9911079190),
- COEF_CONST(0.9915114785),
- COEF_CONST(0.9919057055),
- COEF_CONST(0.9922905963),
- COEF_CONST(0.9926661473),
- COEF_CONST(0.9930323550),
- COEF_CONST(0.9933892158),
- COEF_CONST(0.9937367265),
- COEF_CONST(0.9940748837),
- COEF_CONST(0.9944036844),
- COEF_CONST(0.9947231253),
- COEF_CONST(0.9950332035),
- COEF_CONST(0.9953339161),
- COEF_CONST(0.9956252602),
- COEF_CONST(0.9959072331),
- COEF_CONST(0.9961798322),
- COEF_CONST(0.9964430548),
- COEF_CONST(0.9966968986),
- COEF_CONST(0.9969413610),
- COEF_CONST(0.9971764399),
- COEF_CONST(0.9974021329),
- COEF_CONST(0.9976184380),
- COEF_CONST(0.9978253532),
- COEF_CONST(0.9980228764),
- COEF_CONST(0.9982110059),
- COEF_CONST(0.9983897398),
- COEF_CONST(0.9985590765),
- COEF_CONST(0.9987190144),
- COEF_CONST(0.9988695519),
- COEF_CONST(0.9990106877),
- COEF_CONST(0.9991424205),
- COEF_CONST(0.9992647489),
- COEF_CONST(0.9993776719),
- COEF_CONST(0.9994811883),
- COEF_CONST(0.9995752973),
- COEF_CONST(0.9996599979),
- COEF_CONST(0.9997352893),
- COEF_CONST(0.9998011707),
- COEF_CONST(0.9998576417),
- COEF_CONST(0.9999047017),
- COEF_CONST(0.9999423501),
- COEF_CONST(0.9999705868),
- COEF_CONST(0.9999894113),
- COEF_CONST(0.9999988235)
+ FRAC_CONST(0.0015339801862847655),
+ FRAC_CONST(0.0046019261204485705),
+ FRAC_CONST(0.007669828739531097),
+ FRAC_CONST(0.010737659167264491),
+ FRAC_CONST(0.013805388528060391),
+ FRAC_CONST(0.01687298794728171),
+ FRAC_CONST(0.019940428551514441),
+ FRAC_CONST(0.023007681468839369),
+ FRAC_CONST(0.026074717829103901),
+ FRAC_CONST(0.029141508764193722),
+ FRAC_CONST(0.032208025408304586),
+ FRAC_CONST(0.035274238898213947),
+ FRAC_CONST(0.038340120373552694),
+ FRAC_CONST(0.041405640977076739),
+ FRAC_CONST(0.044470771854938668),
+ FRAC_CONST(0.047535484156959303),
+ FRAC_CONST(0.050599749036899282),
+ FRAC_CONST(0.05366353765273052),
+ FRAC_CONST(0.056726821166907748),
+ FRAC_CONST(0.059789570746639868),
+ FRAC_CONST(0.062851757564161406),
+ FRAC_CONST(0.065913352797003805),
+ FRAC_CONST(0.068974327628266746),
+ FRAC_CONST(0.072034653246889332),
+ FRAC_CONST(0.075094300847921305),
+ FRAC_CONST(0.078153241632794232),
+ FRAC_CONST(0.081211446809592441),
+ FRAC_CONST(0.084268887593324071),
+ FRAC_CONST(0.087325535206192059),
+ FRAC_CONST(0.090381360877864983),
+ FRAC_CONST(0.093436335845747787),
+ FRAC_CONST(0.096490431355252593),
+ FRAC_CONST(0.099543618660069319),
+ FRAC_CONST(0.10259586902243628),
+ FRAC_CONST(0.10564715371341062),
+ FRAC_CONST(0.10869744401313872),
+ FRAC_CONST(0.11174671121112659),
+ FRAC_CONST(0.11479492660651008),
+ FRAC_CONST(0.11784206150832498),
+ FRAC_CONST(0.12088808723577708),
+ FRAC_CONST(0.12393297511851216),
+ FRAC_CONST(0.12697669649688587),
+ FRAC_CONST(0.13001922272223335),
+ FRAC_CONST(0.13306052515713906),
+ FRAC_CONST(0.1361005751757062),
+ FRAC_CONST(0.1391393441638262),
+ FRAC_CONST(0.14217680351944803),
+ FRAC_CONST(0.14521292465284746),
+ FRAC_CONST(0.14824767898689603),
+ FRAC_CONST(0.15128103795733022),
+ FRAC_CONST(0.1543129730130201),
+ FRAC_CONST(0.15734345561623825),
+ FRAC_CONST(0.16037245724292828),
+ FRAC_CONST(0.16339994938297323),
+ FRAC_CONST(0.1664259035404641),
+ FRAC_CONST(0.16945029123396796),
+ FRAC_CONST(0.17247308399679595),
+ FRAC_CONST(0.17549425337727143),
+ FRAC_CONST(0.17851377093899751),
+ FRAC_CONST(0.18153160826112497),
+ FRAC_CONST(0.18454773693861962),
+ FRAC_CONST(0.1875621285825296),
+ FRAC_CONST(0.19057475482025274),
+ FRAC_CONST(0.19358558729580361),
+ FRAC_CONST(0.19659459767008022),
+ FRAC_CONST(0.19960175762113097),
+ FRAC_CONST(0.20260703884442113),
+ FRAC_CONST(0.20561041305309924),
+ FRAC_CONST(0.20861185197826349),
+ FRAC_CONST(0.21161132736922755),
+ FRAC_CONST(0.21460881099378676),
+ FRAC_CONST(0.21760427463848364),
+ FRAC_CONST(0.22059769010887351),
+ FRAC_CONST(0.22358902922978999),
+ FRAC_CONST(0.22657826384561),
+ FRAC_CONST(0.22956536582051887),
+ FRAC_CONST(0.23255030703877524),
+ FRAC_CONST(0.23553305940497549),
+ FRAC_CONST(0.23851359484431842),
+ FRAC_CONST(0.24149188530286933),
+ FRAC_CONST(0.24446790274782415),
+ FRAC_CONST(0.24744161916777327),
+ FRAC_CONST(0.25041300657296522),
+ FRAC_CONST(0.25338203699557016),
+ FRAC_CONST(0.25634868248994291),
+ FRAC_CONST(0.25931291513288623),
+ FRAC_CONST(0.26227470702391359),
+ FRAC_CONST(0.26523403028551179),
+ FRAC_CONST(0.26819085706340318),
+ FRAC_CONST(0.27114515952680801),
+ FRAC_CONST(0.27409690986870638),
+ FRAC_CONST(0.2770460803060999),
+ FRAC_CONST(0.27999264308027322),
+ FRAC_CONST(0.28293657045705539),
+ FRAC_CONST(0.28587783472708062),
+ FRAC_CONST(0.28881640820604948),
+ FRAC_CONST(0.29175226323498926),
+ FRAC_CONST(0.29468537218051433),
+ FRAC_CONST(0.2976157074350862),
+ FRAC_CONST(0.30054324141727345),
+ FRAC_CONST(0.30346794657201132),
+ FRAC_CONST(0.30638979537086092),
+ FRAC_CONST(0.30930876031226873),
+ FRAC_CONST(0.31222481392182488),
+ FRAC_CONST(0.31513792875252244),
+ FRAC_CONST(0.31804807738501495),
+ FRAC_CONST(0.32095523242787521),
+ FRAC_CONST(0.32385936651785285),
+ FRAC_CONST(0.32676045232013173),
+ FRAC_CONST(0.32965846252858749),
+ FRAC_CONST(0.33255336986604422),
+ FRAC_CONST(0.3354451470845316),
+ FRAC_CONST(0.33833376696554113),
+ FRAC_CONST(0.34121920232028236),
+ FRAC_CONST(0.34410142598993881),
+ FRAC_CONST(0.34698041084592368),
+ FRAC_CONST(0.34985612979013492),
+ FRAC_CONST(0.35272855575521073),
+ FRAC_CONST(0.35559766170478385),
+ FRAC_CONST(0.35846342063373654),
+ FRAC_CONST(0.36132580556845428),
+ FRAC_CONST(0.36418478956707989),
+ FRAC_CONST(0.36704034571976718),
+ FRAC_CONST(0.3698924471489341),
+ FRAC_CONST(0.37274106700951576),
+ FRAC_CONST(0.37558617848921722),
+ FRAC_CONST(0.37842775480876556),
+ FRAC_CONST(0.38126576922216238),
+ FRAC_CONST(0.38410019501693504),
+ FRAC_CONST(0.38693100551438858),
+ FRAC_CONST(0.38975817406985641),
+ FRAC_CONST(0.39258167407295147),
+ FRAC_CONST(0.39540147894781635),
+ FRAC_CONST(0.39821756215337356),
+ FRAC_CONST(0.40102989718357562),
+ FRAC_CONST(0.40383845756765407),
+ FRAC_CONST(0.40664321687036903),
+ FRAC_CONST(0.40944414869225759),
+ FRAC_CONST(0.41224122666988289),
+ FRAC_CONST(0.41503442447608163),
+ FRAC_CONST(0.41782371582021227),
+ FRAC_CONST(0.42060907444840251),
+ FRAC_CONST(0.42339047414379605),
+ FRAC_CONST(0.42616788872679962),
+ FRAC_CONST(0.42894129205532949),
+ FRAC_CONST(0.43171065802505726),
+ FRAC_CONST(0.43447596056965565),
+ FRAC_CONST(0.43723717366104409),
+ FRAC_CONST(0.43999427130963326),
+ FRAC_CONST(0.44274722756457002),
+ FRAC_CONST(0.44549601651398174),
+ FRAC_CONST(0.44824061228521989),
+ FRAC_CONST(0.45098098904510386),
+ FRAC_CONST(0.45371712100016387),
+ FRAC_CONST(0.45644898239688392),
+ FRAC_CONST(0.45917654752194409),
+ FRAC_CONST(0.46189979070246273),
+ FRAC_CONST(0.46461868630623782),
+ FRAC_CONST(0.46733320874198842),
+ FRAC_CONST(0.47004333245959562),
+ FRAC_CONST(0.47274903195034279),
+ FRAC_CONST(0.47545028174715587),
+ FRAC_CONST(0.47814705642484301),
+ FRAC_CONST(0.48083933060033396),
+ FRAC_CONST(0.48352707893291874),
+ FRAC_CONST(0.48621027612448642),
+ FRAC_CONST(0.48888889691976317),
+ FRAC_CONST(0.4915629161065499),
+ FRAC_CONST(0.49423230851595967),
+ FRAC_CONST(0.49689704902265447),
+ FRAC_CONST(0.49955711254508184),
+ FRAC_CONST(0.50221247404571079),
+ FRAC_CONST(0.50486310853126759),
+ FRAC_CONST(0.50750899105297087),
+ FRAC_CONST(0.51015009670676681),
+ FRAC_CONST(0.51278640063356296),
+ FRAC_CONST(0.51541787801946293),
+ FRAC_CONST(0.51804450409599934),
+ FRAC_CONST(0.52066625414036716),
+ FRAC_CONST(0.52328310347565643),
+ FRAC_CONST(0.52589502747108463),
+ FRAC_CONST(0.52850200154222848),
+ FRAC_CONST(0.531104001151255),
+ FRAC_CONST(0.53370100180715296),
+ FRAC_CONST(0.53629297906596318),
+ FRAC_CONST(0.53887990853100842),
+ FRAC_CONST(0.54146176585312344),
+ FRAC_CONST(0.54403852673088382),
+ FRAC_CONST(0.54661016691083486),
+ FRAC_CONST(0.54917666218771966),
+ FRAC_CONST(0.55173798840470734),
+ FRAC_CONST(0.55429412145362),
+ FRAC_CONST(0.5568450372751601),
+ FRAC_CONST(0.55939071185913614),
+ FRAC_CONST(0.56193112124468947),
+ FRAC_CONST(0.5644662415205195),
+ FRAC_CONST(0.56699604882510868),
+ FRAC_CONST(0.56952051934694714),
+ FRAC_CONST(0.57203962932475705),
+ FRAC_CONST(0.57455335504771576),
+ FRAC_CONST(0.57706167285567944),
+ FRAC_CONST(0.57956455913940563),
+ FRAC_CONST(0.58206199034077544),
+ FRAC_CONST(0.58455394295301533),
+ FRAC_CONST(0.58704039352091797),
+ FRAC_CONST(0.58952131864106394),
+ FRAC_CONST(0.59199669496204099),
+ FRAC_CONST(0.59446649918466443),
+ FRAC_CONST(0.5969307080621965),
+ FRAC_CONST(0.59938929840056454),
+ FRAC_CONST(0.60184224705858003),
+ FRAC_CONST(0.60428953094815596),
+ FRAC_CONST(0.60673112703452448),
+ FRAC_CONST(0.60916701233645321),
+ FRAC_CONST(0.61159716392646191),
+ FRAC_CONST(0.61402155893103838),
+ FRAC_CONST(0.61644017453085365),
+ FRAC_CONST(0.61885298796097632),
+ FRAC_CONST(0.62125997651108755),
+ FRAC_CONST(0.62366111752569453),
+ FRAC_CONST(0.62605638840434352),
+ FRAC_CONST(0.62844576660183271),
+ FRAC_CONST(0.63082922962842447),
+ FRAC_CONST(0.63320675505005719),
+ FRAC_CONST(0.63557832048855611),
+ FRAC_CONST(0.63794390362184406),
+ FRAC_CONST(0.64030348218415167),
+ FRAC_CONST(0.64265703396622686),
+ FRAC_CONST(0.64500453681554393),
+ FRAC_CONST(0.64734596863651206),
+ FRAC_CONST(0.64968130739068319),
+ FRAC_CONST(0.6520105310969595),
+ FRAC_CONST(0.65433361783180044),
+ FRAC_CONST(0.65665054572942894),
+ FRAC_CONST(0.65896129298203732),
+ FRAC_CONST(0.66126583783999227),
+ FRAC_CONST(0.66356415861203977),
+ FRAC_CONST(0.66585623366550972),
+ FRAC_CONST(0.66814204142651845),
+ FRAC_CONST(0.67042156038017309),
+ FRAC_CONST(0.67269476907077286),
+ FRAC_CONST(0.67496164610201193),
+ FRAC_CONST(0.67722217013718033),
+ FRAC_CONST(0.67947631989936497),
+ FRAC_CONST(0.68172407417164971),
+ FRAC_CONST(0.6839654117973154),
+ FRAC_CONST(0.68620031168003859),
+ FRAC_CONST(0.68842875278409044),
+ FRAC_CONST(0.6906507141345346),
+ FRAC_CONST(0.69286617481742463),
+ FRAC_CONST(0.69507511398000088),
+ FRAC_CONST(0.69727751083088652),
+ FRAC_CONST(0.69947334464028377),
+ FRAC_CONST(0.70166259474016845),
+ FRAC_CONST(0.70384524052448494),
+ FRAC_CONST(0.70602126144933974),
+ FRAC_CONST(0.70819063703319529),
+ FRAC_CONST(0.71035334685706231),
+ FRAC_CONST(0.71250937056469232),
+ FRAC_CONST(0.71465868786276898),
+ FRAC_CONST(0.71680127852109954),
+ FRAC_CONST(0.71893712237280438),
+ FRAC_CONST(0.72106619931450811),
+ FRAC_CONST(0.72318848930652735),
+ FRAC_CONST(0.72530397237306066),
+ FRAC_CONST(0.72741262860237577),
+ FRAC_CONST(0.7295144381469969),
+ FRAC_CONST(0.73160938122389252),
+ FRAC_CONST(0.73369743811466026),
+ FRAC_CONST(0.73577858916571348),
+ FRAC_CONST(0.73785281478846598),
+ FRAC_CONST(0.73992009545951609),
+ FRAC_CONST(0.74198041172083096),
+ FRAC_CONST(0.74403374417992918),
+ FRAC_CONST(0.74608007351006378),
+ FRAC_CONST(0.74811938045040349),
+ FRAC_CONST(0.75015164580621496),
+ FRAC_CONST(0.7521768504490427),
+ FRAC_CONST(0.75419497531688917),
+ FRAC_CONST(0.75620600141439454),
+ FRAC_CONST(0.75820990981301528),
+ FRAC_CONST(0.76020668165120242),
+ FRAC_CONST(0.7621962981345789),
+ FRAC_CONST(0.76417874053611667),
+ FRAC_CONST(0.76615399019631281),
+ FRAC_CONST(0.76812202852336531),
+ FRAC_CONST(0.7700828369933479),
+ FRAC_CONST(0.77203639715038441),
+ FRAC_CONST(0.77398269060682279),
+ FRAC_CONST(0.77592169904340758),
+ FRAC_CONST(0.77785340420945304),
+ FRAC_CONST(0.77977778792301444),
+ FRAC_CONST(0.78169483207105939),
+ FRAC_CONST(0.7836045186096382),
+ FRAC_CONST(0.78550682956405393),
+ FRAC_CONST(0.78740174702903132),
+ FRAC_CONST(0.78928925316888565),
+ FRAC_CONST(0.79116933021769009),
+ FRAC_CONST(0.79304196047944364),
+ FRAC_CONST(0.79490712632823701),
+ FRAC_CONST(0.79676481020841872),
+ FRAC_CONST(0.79861499463476082),
+ FRAC_CONST(0.80045766219262271),
+ FRAC_CONST(0.80229279553811572),
+ FRAC_CONST(0.8041203773982657),
+ FRAC_CONST(0.80594039057117628),
+ FRAC_CONST(0.80775281792619036),
+ FRAC_CONST(0.80955764240405126),
+ FRAC_CONST(0.81135484701706373),
+ FRAC_CONST(0.81314441484925359),
+ FRAC_CONST(0.81492632905652662),
+ FRAC_CONST(0.81670057286682785),
+ FRAC_CONST(0.81846712958029866),
+ FRAC_CONST(0.82022598256943469),
+ FRAC_CONST(0.82197711527924155),
+ FRAC_CONST(0.82372051122739132),
+ FRAC_CONST(0.82545615400437744),
+ FRAC_CONST(0.82718402727366902),
+ FRAC_CONST(0.82890411477186487),
+ FRAC_CONST(0.8306164003088462),
+ FRAC_CONST(0.83232086776792968),
+ FRAC_CONST(0.83401750110601813),
+ FRAC_CONST(0.8357062843537526),
+ FRAC_CONST(0.83738720161566194),
+ FRAC_CONST(0.83906023707031263),
+ FRAC_CONST(0.84072537497045807),
+ FRAC_CONST(0.84238259964318596),
+ FRAC_CONST(0.84403189549006641),
+ FRAC_CONST(0.84567324698729907),
+ FRAC_CONST(0.84730663868585832),
+ FRAC_CONST(0.84893205521163961),
+ FRAC_CONST(0.85054948126560337),
+ FRAC_CONST(0.85215890162391983),
+ FRAC_CONST(0.8537603011381113),
+ FRAC_CONST(0.85535366473519603),
+ FRAC_CONST(0.85693897741782865),
+ FRAC_CONST(0.85851622426444274),
+ FRAC_CONST(0.86008539042939014),
+ FRAC_CONST(0.8616464611430813),
+ FRAC_CONST(0.86319942171212416),
+ FRAC_CONST(0.86474425751946238),
+ FRAC_CONST(0.86628095402451299),
+ FRAC_CONST(0.86780949676330321),
+ FRAC_CONST(0.86932987134860673),
+ FRAC_CONST(0.87084206347007886),
+ FRAC_CONST(0.87234605889439154),
+ FRAC_CONST(0.87384184346536675),
+ FRAC_CONST(0.87532940310411078),
+ FRAC_CONST(0.87680872380914576),
+ FRAC_CONST(0.87827979165654146),
+ FRAC_CONST(0.87974259280004741),
+ FRAC_CONST(0.88119711347122198),
+ FRAC_CONST(0.88264333997956279),
+ FRAC_CONST(0.88408125871263499),
+ FRAC_CONST(0.88551085613619995),
+ FRAC_CONST(0.88693211879434208),
+ FRAC_CONST(0.88834503330959624),
+ FRAC_CONST(0.88974958638307289),
+ FRAC_CONST(0.89114576479458318),
+ FRAC_CONST(0.89253355540276469),
+ FRAC_CONST(0.89391294514520325),
+ FRAC_CONST(0.89528392103855758),
+ FRAC_CONST(0.89664647017868015),
+ FRAC_CONST(0.89800057974073988),
+ FRAC_CONST(0.89934623697934146),
+ FRAC_CONST(0.90068342922864686),
+ FRAC_CONST(0.90201214390249307),
+ FRAC_CONST(0.90333236849451182),
+ FRAC_CONST(0.90464409057824624),
+ FRAC_CONST(0.90594729780726846),
+ FRAC_CONST(0.90724197791529593),
+ FRAC_CONST(0.90852811871630612),
+ FRAC_CONST(0.90980570810465222),
+ FRAC_CONST(0.91107473405517625),
+ FRAC_CONST(0.91233518462332275),
+ FRAC_CONST(0.91358704794525081),
+ FRAC_CONST(0.91483031223794609),
+ FRAC_CONST(0.91606496579933161),
+ FRAC_CONST(0.91729099700837791),
+ FRAC_CONST(0.91850839432521225),
+ FRAC_CONST(0.91971714629122736),
+ FRAC_CONST(0.92091724152918952),
+ FRAC_CONST(0.92210866874334507),
+ FRAC_CONST(0.92329141671952764),
+ FRAC_CONST(0.9244654743252626),
+ FRAC_CONST(0.92563083050987272),
+ FRAC_CONST(0.92678747430458175),
+ FRAC_CONST(0.92793539482261789),
+ FRAC_CONST(0.92907458125931575),
+ FRAC_CONST(0.93020502289221907),
+ FRAC_CONST(0.93132670908118043),
+ FRAC_CONST(0.93243962926846236),
+ FRAC_CONST(0.93354377297883617),
+ FRAC_CONST(0.93463912981968078),
+ FRAC_CONST(0.93572568948108037),
+ FRAC_CONST(0.93680344173592156),
+ FRAC_CONST(0.93787237643998989),
+ FRAC_CONST(0.93893248353206449),
+ FRAC_CONST(0.93998375303401394),
+ FRAC_CONST(0.94102617505088926),
+ FRAC_CONST(0.94205973977101731),
+ FRAC_CONST(0.94308443746609349),
+ FRAC_CONST(0.94410025849127266),
+ FRAC_CONST(0.94510719328526061),
+ FRAC_CONST(0.94610523237040334),
+ FRAC_CONST(0.94709436635277722),
+ FRAC_CONST(0.94807458592227623),
+ FRAC_CONST(0.94904588185270056),
+ FRAC_CONST(0.950008245001843),
+ FRAC_CONST(0.95096166631157508),
+ FRAC_CONST(0.95190613680793223),
+ FRAC_CONST(0.95284164760119872),
+ FRAC_CONST(0.95376818988599033),
+ FRAC_CONST(0.95468575494133834),
+ FRAC_CONST(0.95559433413077111),
+ FRAC_CONST(0.95649391890239499),
+ FRAC_CONST(0.95738450078897586),
+ FRAC_CONST(0.95826607140801767),
+ FRAC_CONST(0.95913862246184189),
+ FRAC_CONST(0.96000214573766585),
+ FRAC_CONST(0.96085663310767966),
+ FRAC_CONST(0.96170207652912254),
+ FRAC_CONST(0.96253846804435916),
+ FRAC_CONST(0.96336579978095405),
+ FRAC_CONST(0.96418406395174572),
+ FRAC_CONST(0.96499325285492032),
+ FRAC_CONST(0.96579335887408357),
+ FRAC_CONST(0.96658437447833312),
+ FRAC_CONST(0.96736629222232851),
+ FRAC_CONST(0.96813910474636233),
+ FRAC_CONST(0.96890280477642887),
+ FRAC_CONST(0.96965738512429245),
+ FRAC_CONST(0.9704028386875555),
+ FRAC_CONST(0.97113915844972509),
+ FRAC_CONST(0.9718663374802794),
+ FRAC_CONST(0.97258436893473221),
+ FRAC_CONST(0.97329324605469825),
+ FRAC_CONST(0.97399296216795583),
+ FRAC_CONST(0.97468351068851067),
+ FRAC_CONST(0.97536488511665687),
+ FRAC_CONST(0.97603707903903902),
+ FRAC_CONST(0.97670008612871184),
+ FRAC_CONST(0.97735390014519996),
+ FRAC_CONST(0.97799851493455714),
+ FRAC_CONST(0.9786339244294231),
+ FRAC_CONST(0.97926012264908202),
+ FRAC_CONST(0.97987710369951764),
+ FRAC_CONST(0.98048486177346938),
+ FRAC_CONST(0.98108339115048659),
+ FRAC_CONST(0.98167268619698311),
+ FRAC_CONST(0.98225274136628937),
+ FRAC_CONST(0.98282355119870524),
+ FRAC_CONST(0.98338511032155118),
+ FRAC_CONST(0.98393741344921892),
+ FRAC_CONST(0.98448045538322093),
+ FRAC_CONST(0.98501423101223984),
+ FRAC_CONST(0.98553873531217606),
+ FRAC_CONST(0.98605396334619544),
+ FRAC_CONST(0.98655991026477541),
+ FRAC_CONST(0.98705657130575097),
+ FRAC_CONST(0.98754394179435923),
+ FRAC_CONST(0.98802201714328353),
+ FRAC_CONST(0.98849079285269659),
+ FRAC_CONST(0.98895026451030299),
+ FRAC_CONST(0.98940042779138038),
+ FRAC_CONST(0.98984127845882053),
+ FRAC_CONST(0.99027281236316911),
+ FRAC_CONST(0.99069502544266463),
+ FRAC_CONST(0.99110791372327678),
+ FRAC_CONST(0.9915114733187439),
+ FRAC_CONST(0.99190570043060933),
+ FRAC_CONST(0.99229059134825737),
+ FRAC_CONST(0.99266614244894802),
+ FRAC_CONST(0.99303235019785141),
+ FRAC_CONST(0.99338921114808065),
+ FRAC_CONST(0.9937367219407246),
+ FRAC_CONST(0.99407487930487937),
+ FRAC_CONST(0.9944036800576791),
+ FRAC_CONST(0.9947231211043257),
+ FRAC_CONST(0.99503319943811863),
+ FRAC_CONST(0.99533391214048228),
+ FRAC_CONST(0.99562525638099431),
+ FRAC_CONST(0.99590722941741172),
+ FRAC_CONST(0.99617982859569687),
+ FRAC_CONST(0.99644305135004263),
+ FRAC_CONST(0.99669689520289606),
+ FRAC_CONST(0.99694135776498216),
+ FRAC_CONST(0.99717643673532619),
+ FRAC_CONST(0.9974021299012753),
+ FRAC_CONST(0.99761843513851955),
+ FRAC_CONST(0.99782535041111164),
+ FRAC_CONST(0.99802287377148624),
+ FRAC_CONST(0.99821100336047819),
+ FRAC_CONST(0.99838973740734016),
+ FRAC_CONST(0.99855907422975931),
+ FRAC_CONST(0.99871901223387294),
+ FRAC_CONST(0.99886954991428356),
+ FRAC_CONST(0.99901068585407338),
+ FRAC_CONST(0.99914241872481691),
+ FRAC_CONST(0.99926474728659442),
+ FRAC_CONST(0.99937767038800285),
+ FRAC_CONST(0.99948118696616695),
+ FRAC_CONST(0.99957529604674922),
+ FRAC_CONST(0.99965999674395922),
+ FRAC_CONST(0.99973528826056168),
+ FRAC_CONST(0.99980116988788426),
+ FRAC_CONST(0.99985764100582386),
+ FRAC_CONST(0.9999047010828529),
+ FRAC_CONST(0.99994234967602391),
+ FRAC_CONST(0.99997058643097414),
+ FRAC_CONST(0.9999894110819284),
+ FRAC_CONST(0.99999882345170188)
};
-real_t sine_mid_480[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const real_t sine_mid_480[] =
{
- COEF_CONST(0.0016362455),
- COEF_CONST(0.0049087189),
- COEF_CONST(0.0081811398),
- COEF_CONST(0.0114534731),
- COEF_CONST(0.0147256837),
- COEF_CONST(0.0179977366),
- COEF_CONST(0.0212695968),
- COEF_CONST(0.0245412292),
- COEF_CONST(0.0278125988),
- COEF_CONST(0.0310836705),
- COEF_CONST(0.0343544094),
- COEF_CONST(0.0376247803),
- COEF_CONST(0.0408947483),
- COEF_CONST(0.0441642784),
- COEF_CONST(0.0474333354),
- COEF_CONST(0.0507018846),
- COEF_CONST(0.0539698907),
- COEF_CONST(0.0572373189),
- COEF_CONST(0.0605041341),
- COEF_CONST(0.0637703013),
- COEF_CONST(0.0670357857),
- COEF_CONST(0.0703005521),
- COEF_CONST(0.0735645656),
- COEF_CONST(0.0768277914),
- COEF_CONST(0.0800901944),
- COEF_CONST(0.0833517396),
- COEF_CONST(0.0866123923),
- COEF_CONST(0.0898721174),
- COEF_CONST(0.0931308800),
- COEF_CONST(0.0963886453),
- COEF_CONST(0.0996453784),
- COEF_CONST(0.1029010443),
- COEF_CONST(0.1061556082),
- COEF_CONST(0.1094090353),
- COEF_CONST(0.1126612907),
- COEF_CONST(0.1159123396),
- COEF_CONST(0.1191621472),
- COEF_CONST(0.1224106786),
- COEF_CONST(0.1256578991),
- COEF_CONST(0.1289037739),
- COEF_CONST(0.1321482683),
- COEF_CONST(0.1353913474),
- COEF_CONST(0.1386329767),
- COEF_CONST(0.1418731213),
- COEF_CONST(0.1451117465),
- COEF_CONST(0.1483488177),
- COEF_CONST(0.1515843002),
- COEF_CONST(0.1548181594),
- COEF_CONST(0.1580503605),
- COEF_CONST(0.1612808691),
- COEF_CONST(0.1645096505),
- COEF_CONST(0.1677366702),
- COEF_CONST(0.1709618935),
- COEF_CONST(0.1741852859),
- COEF_CONST(0.1774068130),
- COEF_CONST(0.1806264402),
- COEF_CONST(0.1838441330),
- COEF_CONST(0.1870598570),
- COEF_CONST(0.1902735777),
- COEF_CONST(0.1934852607),
- COEF_CONST(0.1966948717),
- COEF_CONST(0.1999023762),
- COEF_CONST(0.2031077400),
- COEF_CONST(0.2063109286),
- COEF_CONST(0.2095119078),
- COEF_CONST(0.2127106433),
- COEF_CONST(0.2159071008),
- COEF_CONST(0.2191012462),
- COEF_CONST(0.2222930451),
- COEF_CONST(0.2254824635),
- COEF_CONST(0.2286694671),
- COEF_CONST(0.2318540218),
- COEF_CONST(0.2350360936),
- COEF_CONST(0.2382156484),
- COEF_CONST(0.2413926520),
- COEF_CONST(0.2445670705),
- COEF_CONST(0.2477388699),
- COEF_CONST(0.2509080162),
- COEF_CONST(0.2540744755),
- COEF_CONST(0.2572382139),
- COEF_CONST(0.2603991974),
- COEF_CONST(0.2635573923),
- COEF_CONST(0.2667127647),
- COEF_CONST(0.2698652808),
- COEF_CONST(0.2730149069),
- COEF_CONST(0.2761616092),
- COEF_CONST(0.2793053540),
- COEF_CONST(0.2824461077),
- COEF_CONST(0.2855838367),
- COEF_CONST(0.2887185072),
- COEF_CONST(0.2918500858),
- COEF_CONST(0.2949785389),
- COEF_CONST(0.2981038331),
- COEF_CONST(0.3012259348),
- COEF_CONST(0.3043448106),
- COEF_CONST(0.3074604271),
- COEF_CONST(0.3105727510),
- COEF_CONST(0.3136817488),
- COEF_CONST(0.3167873874),
- COEF_CONST(0.3198896335),
- COEF_CONST(0.3229884538),
- COEF_CONST(0.3260838151),
- COEF_CONST(0.3291756844),
- COEF_CONST(0.3322640284),
- COEF_CONST(0.3353488142),
- COEF_CONST(0.3384300086),
- COEF_CONST(0.3415075788),
- COEF_CONST(0.3445814916),
- COEF_CONST(0.3476517143),
- COEF_CONST(0.3507182139),
- COEF_CONST(0.3537809576),
- COEF_CONST(0.3568399126),
- COEF_CONST(0.3598950461),
- COEF_CONST(0.3629463254),
- COEF_CONST(0.3659937179),
- COEF_CONST(0.3690371908),
- COEF_CONST(0.3720767117),
- COEF_CONST(0.3751122479),
- COEF_CONST(0.3781437670),
- COEF_CONST(0.3811712365),
- COEF_CONST(0.3841946239),
- COEF_CONST(0.3872138969),
- COEF_CONST(0.3902290232),
- COEF_CONST(0.3932399704),
- COEF_CONST(0.3962467063),
- COEF_CONST(0.3992491987),
- COEF_CONST(0.4022474156),
- COEF_CONST(0.4052413246),
- COEF_CONST(0.4082308939),
- COEF_CONST(0.4112160913),
- COEF_CONST(0.4141968849),
- COEF_CONST(0.4171732429),
- COEF_CONST(0.4201451332),
- COEF_CONST(0.4231125241),
- COEF_CONST(0.4260753838),
- COEF_CONST(0.4290336806),
- COEF_CONST(0.4319873828),
- COEF_CONST(0.4349364587),
- COEF_CONST(0.4378808768),
- COEF_CONST(0.4408206056),
- COEF_CONST(0.4437556136),
- COEF_CONST(0.4466858692),
- COEF_CONST(0.4496113412),
- COEF_CONST(0.4525319983),
- COEF_CONST(0.4554478091),
- COEF_CONST(0.4583587424),
- COEF_CONST(0.4612647671),
- COEF_CONST(0.4641658519),
- COEF_CONST(0.4670619660),
- COEF_CONST(0.4699530782),
- COEF_CONST(0.4728391575),
- COEF_CONST(0.4757201731),
- COEF_CONST(0.4785960942),
- COEF_CONST(0.4814668899),
- COEF_CONST(0.4843325294),
- COEF_CONST(0.4871929822),
- COEF_CONST(0.4900482174),
- COEF_CONST(0.4928982047),
- COEF_CONST(0.4957429134),
- COEF_CONST(0.4985823131),
- COEF_CONST(0.5014163734),
- COEF_CONST(0.5042450640),
- COEF_CONST(0.5070683544),
- COEF_CONST(0.5098862146),
- COEF_CONST(0.5126986143),
- COEF_CONST(0.5155055234),
- COEF_CONST(0.5183069119),
- COEF_CONST(0.5211027497),
- COEF_CONST(0.5238930069),
- COEF_CONST(0.5266776537),
- COEF_CONST(0.5294566601),
- COEF_CONST(0.5322299965),
- COEF_CONST(0.5349976332),
- COEF_CONST(0.5377595404),
- COEF_CONST(0.5405156887),
- COEF_CONST(0.5432660485),
- COEF_CONST(0.5460105903),
- COEF_CONST(0.5487492848),
- COEF_CONST(0.5514821026),
- COEF_CONST(0.5542090145),
- COEF_CONST(0.5569299913),
- COEF_CONST(0.5596450038),
- COEF_CONST(0.5623540230),
- COEF_CONST(0.5650570198),
- COEF_CONST(0.5677539653),
- COEF_CONST(0.5704448306),
- COEF_CONST(0.5731295868),
- COEF_CONST(0.5758082054),
- COEF_CONST(0.5784806575),
- COEF_CONST(0.5811469145),
- COEF_CONST(0.5838069479),
- COEF_CONST(0.5864607292),
- COEF_CONST(0.5891082300),
- COEF_CONST(0.5917494219),
- COEF_CONST(0.5943842766),
- COEF_CONST(0.5970127660),
- COEF_CONST(0.5996348618),
- COEF_CONST(0.6022505361),
- COEF_CONST(0.6048597607),
- COEF_CONST(0.6074625077),
- COEF_CONST(0.6100587493),
- COEF_CONST(0.6126484577),
- COEF_CONST(0.6152316051),
- COEF_CONST(0.6178081639),
- COEF_CONST(0.6203781064),
- COEF_CONST(0.6229414052),
- COEF_CONST(0.6254980328),
- COEF_CONST(0.6280479618),
- COEF_CONST(0.6305911649),
- COEF_CONST(0.6331276149),
- COEF_CONST(0.6356572846),
- COEF_CONST(0.6381801469),
- COEF_CONST(0.6406961748),
- COEF_CONST(0.6432053414),
- COEF_CONST(0.6457076197),
- COEF_CONST(0.6482029831),
- COEF_CONST(0.6506914047),
- COEF_CONST(0.6531728580),
- COEF_CONST(0.6556473162),
- COEF_CONST(0.6581147531),
- COEF_CONST(0.6605751420),
- COEF_CONST(0.6630284567),
- COEF_CONST(0.6654746709),
- COEF_CONST(0.6679137584),
- COEF_CONST(0.6703456931),
- COEF_CONST(0.6727704490),
- COEF_CONST(0.6751880000),
- COEF_CONST(0.6775983202),
- COEF_CONST(0.6800013840),
- COEF_CONST(0.6823971654),
- COEF_CONST(0.6847856390),
- COEF_CONST(0.6871667790),
- COEF_CONST(0.6895405601),
- COEF_CONST(0.6919069567),
- COEF_CONST(0.6942659435),
- COEF_CONST(0.6966174953),
- COEF_CONST(0.6989615869),
- COEF_CONST(0.7012981932),
- COEF_CONST(0.7036272892),
- COEF_CONST(0.7059488498),
- COEF_CONST(0.7082628503),
- COEF_CONST(0.7105692659),
- COEF_CONST(0.7128680719),
- COEF_CONST(0.7151592436),
- COEF_CONST(0.7174427565),
- COEF_CONST(0.7197185862),
- COEF_CONST(0.7219867083),
- COEF_CONST(0.7242470985),
- COEF_CONST(0.7264997326),
- COEF_CONST(0.7287445864),
- COEF_CONST(0.7309816360),
- COEF_CONST(0.7332108574),
- COEF_CONST(0.7354322266),
- COEF_CONST(0.7376457200),
- COEF_CONST(0.7398513138),
- COEF_CONST(0.7420489844),
- COEF_CONST(0.7442387082),
- COEF_CONST(0.7464204618),
- COEF_CONST(0.7485942218),
- COEF_CONST(0.7507599651),
- COEF_CONST(0.7529176682),
- COEF_CONST(0.7550673083),
- COEF_CONST(0.7572088621),
- COEF_CONST(0.7593423069),
- COEF_CONST(0.7614676197),
- COEF_CONST(0.7635847778),
- COEF_CONST(0.7656937585),
- COEF_CONST(0.7677945393),
- COEF_CONST(0.7698870976),
- COEF_CONST(0.7719714111),
- COEF_CONST(0.7740474573),
- COEF_CONST(0.7761152141),
- COEF_CONST(0.7781746593),
- COEF_CONST(0.7802257710),
- COEF_CONST(0.7822685270),
- COEF_CONST(0.7843029055),
- COEF_CONST(0.7863288848),
- COEF_CONST(0.7883464432),
- COEF_CONST(0.7903555590),
- COEF_CONST(0.7923562107),
- COEF_CONST(0.7943483769),
- COEF_CONST(0.7963320363),
- COEF_CONST(0.7983071676),
- COEF_CONST(0.8002737497),
- COEF_CONST(0.8022317615),
- COEF_CONST(0.8041811820),
- COEF_CONST(0.8061219904),
- COEF_CONST(0.8080541659),
- COEF_CONST(0.8099776877),
- COEF_CONST(0.8118925354),
- COEF_CONST(0.8137986883),
- COEF_CONST(0.8156961261),
- COEF_CONST(0.8175848285),
- COEF_CONST(0.8194647752),
- COEF_CONST(0.8213359460),
- COEF_CONST(0.8231983211),
- COEF_CONST(0.8250518803),
- COEF_CONST(0.8268966039),
- COEF_CONST(0.8287324721),
- COEF_CONST(0.8305594652),
- COEF_CONST(0.8323775637),
- COEF_CONST(0.8341867481),
- COEF_CONST(0.8359869990),
- COEF_CONST(0.8377782972),
- COEF_CONST(0.8395606235),
- COEF_CONST(0.8413339587),
- COEF_CONST(0.8430982839),
- COEF_CONST(0.8448535802),
- COEF_CONST(0.8465998288),
- COEF_CONST(0.8483370110),
- COEF_CONST(0.8500651082),
- COEF_CONST(0.8517841019),
- COEF_CONST(0.8534939737),
- COEF_CONST(0.8551947052),
- COEF_CONST(0.8568862783),
- COEF_CONST(0.8585686748),
- COEF_CONST(0.8602418767),
- COEF_CONST(0.8619058662),
- COEF_CONST(0.8635606253),
- COEF_CONST(0.8652061363),
- COEF_CONST(0.8668423818),
- COEF_CONST(0.8684693440),
- COEF_CONST(0.8700870056),
- COEF_CONST(0.8716953493),
- COEF_CONST(0.8732943578),
- COEF_CONST(0.8748840140),
- COEF_CONST(0.8764643010),
- COEF_CONST(0.8780352017),
- COEF_CONST(0.8795966993),
- COEF_CONST(0.8811487772),
- COEF_CONST(0.8826914187),
- COEF_CONST(0.8842246072),
- COEF_CONST(0.8857483265),
- COEF_CONST(0.8872625600),
- COEF_CONST(0.8887672917),
- COEF_CONST(0.8902625055),
- COEF_CONST(0.8917481852),
- COEF_CONST(0.8932243150),
- COEF_CONST(0.8946908791),
- COEF_CONST(0.8961478618),
- COEF_CONST(0.8975952475),
- COEF_CONST(0.8990330206),
- COEF_CONST(0.9004611658),
- COEF_CONST(0.9018796678),
- COEF_CONST(0.9032885114),
- COEF_CONST(0.9046876815),
- COEF_CONST(0.9060771631),
- COEF_CONST(0.9074569413),
- COEF_CONST(0.9088270015),
- COEF_CONST(0.9101873288),
- COEF_CONST(0.9115379087),
- COEF_CONST(0.9128787268),
- COEF_CONST(0.9142097687),
- COEF_CONST(0.9155310202),
- COEF_CONST(0.9168424670),
- COEF_CONST(0.9181440952),
- COEF_CONST(0.9194358908),
- COEF_CONST(0.9207178400),
- COEF_CONST(0.9219899290),
- COEF_CONST(0.9232521443),
- COEF_CONST(0.9245044723),
- COEF_CONST(0.9257468996),
- COEF_CONST(0.9269794128),
- COEF_CONST(0.9282019989),
- COEF_CONST(0.9294146447),
- COEF_CONST(0.9306173372),
- COEF_CONST(0.9318100635),
- COEF_CONST(0.9329928109),
- COEF_CONST(0.9341655667),
- COEF_CONST(0.9353283183),
- COEF_CONST(0.9364810533),
- COEF_CONST(0.9376237593),
- COEF_CONST(0.9387564242),
- COEF_CONST(0.9398790357),
- COEF_CONST(0.9409915818),
- COEF_CONST(0.9420940507),
- COEF_CONST(0.9431864306),
- COEF_CONST(0.9442687096),
- COEF_CONST(0.9453408763),
- COEF_CONST(0.9464029192),
- COEF_CONST(0.9474548268),
- COEF_CONST(0.9484965880),
- COEF_CONST(0.9495281915),
- COEF_CONST(0.9505496264),
- COEF_CONST(0.9515608816),
- COEF_CONST(0.9525619463),
- COEF_CONST(0.9535528099),
- COEF_CONST(0.9545334617),
- COEF_CONST(0.9555038913),
- COEF_CONST(0.9564640881),
- COEF_CONST(0.9574140420),
- COEF_CONST(0.9583537427),
- COEF_CONST(0.9592831803),
- COEF_CONST(0.9602023446),
- COEF_CONST(0.9611112260),
- COEF_CONST(0.9620098147),
- COEF_CONST(0.9628981010),
- COEF_CONST(0.9637760755),
- COEF_CONST(0.9646437286),
- COEF_CONST(0.9655010512),
- COEF_CONST(0.9663480341),
- COEF_CONST(0.9671846682),
- COEF_CONST(0.9680109445),
- COEF_CONST(0.9688268541),
- COEF_CONST(0.9696323885),
- COEF_CONST(0.9704275388),
- COEF_CONST(0.9712122966),
- COEF_CONST(0.9719866535),
- COEF_CONST(0.9727506013),
- COEF_CONST(0.9735041316),
- COEF_CONST(0.9742472365),
- COEF_CONST(0.9749799080),
- COEF_CONST(0.9757021383),
- COEF_CONST(0.9764139195),
- COEF_CONST(0.9771152442),
- COEF_CONST(0.9778061047),
- COEF_CONST(0.9784864937),
- COEF_CONST(0.9791564039),
- COEF_CONST(0.9798158282),
- COEF_CONST(0.9804647593),
- COEF_CONST(0.9811031905),
- COEF_CONST(0.9817311149),
- COEF_CONST(0.9823485257),
- COEF_CONST(0.9829554164),
- COEF_CONST(0.9835517804),
- COEF_CONST(0.9841376113),
- COEF_CONST(0.9847129029),
- COEF_CONST(0.9852776490),
- COEF_CONST(0.9858318436),
- COEF_CONST(0.9863754808),
- COEF_CONST(0.9869085546),
- COEF_CONST(0.9874310595),
- COEF_CONST(0.9879429897),
- COEF_CONST(0.9884443399),
- COEF_CONST(0.9889351046),
- COEF_CONST(0.9894152786),
- COEF_CONST(0.9898848568),
- COEF_CONST(0.9903438341),
- COEF_CONST(0.9907922056),
- COEF_CONST(0.9912299666),
- COEF_CONST(0.9916571122),
- COEF_CONST(0.9920736380),
- COEF_CONST(0.9924795395),
- COEF_CONST(0.9928748124),
- COEF_CONST(0.9932594523),
- COEF_CONST(0.9936334552),
- COEF_CONST(0.9939968171),
- COEF_CONST(0.9943495342),
- COEF_CONST(0.9946916025),
- COEF_CONST(0.9950230184),
- COEF_CONST(0.9953437785),
- COEF_CONST(0.9956538793),
- COEF_CONST(0.9959533173),
- COEF_CONST(0.9962420896),
- COEF_CONST(0.9965201929),
- COEF_CONST(0.9967876242),
- COEF_CONST(0.9970443807),
- COEF_CONST(0.9972904597),
- COEF_CONST(0.9975258586),
- COEF_CONST(0.9977505747),
- COEF_CONST(0.9979646057),
- COEF_CONST(0.9981679493),
- COEF_CONST(0.9983606034),
- COEF_CONST(0.9985425657),
- COEF_CONST(0.9987138346),
- COEF_CONST(0.9988744079),
- COEF_CONST(0.9990242842),
- COEF_CONST(0.9991634617),
- COEF_CONST(0.9992919389),
- COEF_CONST(0.9994097146),
- COEF_CONST(0.9995167873),
- COEF_CONST(0.9996131561),
- COEF_CONST(0.9996988198),
- COEF_CONST(0.9997737775),
- COEF_CONST(0.9998380284),
- COEF_CONST(0.9998915719),
- COEF_CONST(0.9999344073),
- COEF_CONST(0.9999665343),
- COEF_CONST(0.9999879524),
- COEF_CONST(0.9999986614)
+ FRAC_CONST(0.0016362454436240478),
+ FRAC_CONST(0.00490871880799799),
+ FRAC_CONST(0.0081811396039371282),
+ FRAC_CONST(0.011453472786443779),
+ FRAC_CONST(0.014725683311458524),
+ FRAC_CONST(0.017997736136235509),
+ FRAC_CONST(0.021269596219717739),
+ FRAC_CONST(0.024541228522912285),
+ FRAC_CONST(0.027812598009265607),
+ FRAC_CONST(0.03108366964503869),
+ FRAC_CONST(0.034354408399682276),
+ FRAC_CONST(0.037624779246211978),
+ FRAC_CONST(0.04089474716158345),
+ FRAC_CONST(0.044164277127067358),
+ FRAC_CONST(0.047433334128624507),
+ FRAC_CONST(0.050701883157280733),
+ FRAC_CONST(0.053969889209501881),
+ FRAC_CONST(0.057237317287568618),
+ FRAC_CONST(0.060504132399951269),
+ FRAC_CONST(0.063770299561684493),
+ FRAC_CONST(0.06703578379474201),
+ FRAC_CONST(0.070300550128411174),
+ FRAC_CONST(0.073564563599667426),
+ FRAC_CONST(0.076827789253548759),
+ FRAC_CONST(0.080090192143530081),
+ FRAC_CONST(0.083351737331897449),
+ FRAC_CONST(0.086612389890122182),
+ FRAC_CONST(0.089872114899234967),
+ FRAC_CONST(0.093130877450199795),
+ FRAC_CONST(0.096388642644287828),
+ FRAC_CONST(0.09964537559345106),
+ FRAC_CONST(0.1029010414206961),
+ FRAC_CONST(0.10615560526045748),
+ FRAC_CONST(0.10940903225897117),
+ FRAC_CONST(0.11266128757464781),
+ FRAC_CONST(0.11591233637844581),
+ FRAC_CONST(0.11916214385424433),
+ FRAC_CONST(0.1224106751992162),
+ FRAC_CONST(0.12565789562420052),
+ FRAC_CONST(0.12890377035407541),
+ FRAC_CONST(0.13214826462813015),
+ FRAC_CONST(0.13539134370043773),
+ FRAC_CONST(0.13863297284022669),
+ FRAC_CONST(0.14187311733225325),
+ FRAC_CONST(0.14511174247717309),
+ FRAC_CONST(0.14834881359191271),
+ FRAC_CONST(0.15158429601004111),
+ FRAC_CONST(0.15481815508214106),
+ FRAC_CONST(0.1580503561761798),
+ FRAC_CONST(0.16128086467788047),
+ FRAC_CONST(0.16450964599109233),
+ FRAC_CONST(0.16773666553816149),
+ FRAC_CONST(0.17096188876030122),
+ FRAC_CONST(0.17418528111796186),
+ FRAC_CONST(0.17740680809120093),
+ FRAC_CONST(0.18062643518005275),
+ FRAC_CONST(0.18384412790489776),
+ FRAC_CONST(0.18705985180683199),
+ FRAC_CONST(0.19027357244803589),
+ FRAC_CONST(0.19348525541214331),
+ FRAC_CONST(0.19669486630460997),
+ FRAC_CONST(0.19990237075308173),
+ FRAC_CONST(0.20310773440776286),
+ FRAC_CONST(0.20631092294178383),
+ FRAC_CONST(0.20951190205156878),
+ FRAC_CONST(0.21271063745720317),
+ FRAC_CONST(0.21590709490280058),
+ FRAC_CONST(0.2191012401568698),
+ FRAC_CONST(0.22229303901268133),
+ FRAC_CONST(0.22548245728863364),
+ FRAC_CONST(0.22866946082861941),
+ FRAC_CONST(0.23185401550239115),
+ FRAC_CONST(0.23503608720592667),
+ FRAC_CONST(0.23821564186179459),
+ FRAC_CONST(0.24139264541951888),
+ FRAC_CONST(0.24456706385594387),
+ FRAC_CONST(0.24773886317559846),
+ FRAC_CONST(0.25090800941106001),
+ FRAC_CONST(0.25407446862331851),
+ FRAC_CONST(0.25723820690213967),
+ FRAC_CONST(0.26039919036642817),
+ FRAC_CONST(0.26355738516459076),
+ FRAC_CONST(0.26671275747489837),
+ FRAC_CONST(0.2698652735058486),
+ FRAC_CONST(0.27301489949652735),
+ FRAC_CONST(0.27616160171697068),
+ FRAC_CONST(0.27930534646852595),
+ FRAC_CONST(0.28244610008421245),
+ FRAC_CONST(0.2855838289290823),
+ FRAC_CONST(0.28871849940058025),
+ FRAC_CONST(0.29185007792890405),
+ FRAC_CONST(0.29497853097736348),
+ FRAC_CONST(0.2981038250427398),
+ FRAC_CONST(0.30122592665564446),
+ FRAC_CONST(0.30434480238087736),
+ FRAC_CONST(0.30746041881778519),
+ FRAC_CONST(0.31057274260061901),
+ FRAC_CONST(0.31368174039889146),
+ FRAC_CONST(0.31678737891773395),
+ FRAC_CONST(0.31988962489825296),
+ FRAC_CONST(0.32298844511788638),
+ FRAC_CONST(0.32608380639075912),
+ FRAC_CONST(0.32917567556803889),
+ FRAC_CONST(0.33226401953829071),
+ FRAC_CONST(0.33534880522783189),
+ FRAC_CONST(0.33842999960108583),
+ FRAC_CONST(0.34150756966093632),
+ FRAC_CONST(0.34458148244908043),
+ FRAC_CONST(0.34765170504638188),
+ FRAC_CONST(0.35071820457322322),
+ FRAC_CONST(0.35378094818985806),
+ FRAC_CONST(0.35683990309676283),
+ FRAC_CONST(0.35989503653498811),
+ FRAC_CONST(0.36294631578650921),
+ FRAC_CONST(0.36599370817457672),
+ FRAC_CONST(0.36903718106406647),
+ FRAC_CONST(0.37207670186182878),
+ FRAC_CONST(0.37511223801703802),
+ FRAC_CONST(0.37814375702154046),
+ FRAC_CONST(0.38117122641020335),
+ FRAC_CONST(0.38419461376126157),
+ FRAC_CONST(0.38721388669666562),
+ FRAC_CONST(0.39022901288242801),
+ FRAC_CONST(0.39323996002896966),
+ FRAC_CONST(0.39624669589146555),
+ FRAC_CONST(0.39924918827019029),
+ FRAC_CONST(0.40224740501086254),
+ FRAC_CONST(0.40524131400498986),
+ FRAC_CONST(0.40823088319021217),
+ FRAC_CONST(0.41121608055064529),
+ FRAC_CONST(0.41419687411722372),
+ FRAC_CONST(0.41717323196804335),
+ FRAC_CONST(0.42014512222870243),
+ FRAC_CONST(0.42311251307264408),
+ FRAC_CONST(0.42607537272149631),
+ FRAC_CONST(0.4290336694454126),
+ FRAC_CONST(0.43198737156341183),
+ FRAC_CONST(0.43493644744371707),
+ FRAC_CONST(0.43788086550409511),
+ FRAC_CONST(0.44082059421219388),
+ FRAC_CONST(0.44375560208588088),
+ FRAC_CONST(0.44668585769357955),
+ FRAC_CONST(0.4496113296546066),
+ FRAC_CONST(0.45253198663950756),
+ FRAC_CONST(0.45544779737039259),
+ FRAC_CONST(0.45835873062127125),
+ FRAC_CONST(0.46126475521838717),
+ FRAC_CONST(0.46416584004055156),
+ FRAC_CONST(0.46706195401947659),
+ FRAC_CONST(0.46995306614010829),
+ FRAC_CONST(0.47283914544095862),
+ FRAC_CONST(0.47572016101443682),
+ FRAC_CONST(0.47859608200718085),
+ FRAC_CONST(0.4814668776203872),
+ FRAC_CONST(0.48433251711014125),
+ FRAC_CONST(0.4871929697877464),
+ FRAC_CONST(0.49004820502005247),
+ FRAC_CONST(0.49289819222978404),
+ FRAC_CONST(0.49574290089586776),
+ FRAC_CONST(0.49858230055375902),
+ FRAC_CONST(0.50141636079576901),
+ FRAC_CONST(0.50424505127138919),
+ FRAC_CONST(0.50706834168761705),
+ FRAC_CONST(0.50988620180928057),
+ FRAC_CONST(0.51269860145936175),
+ FRAC_CONST(0.51550551051931948),
+ FRAC_CONST(0.51830689892941317),
+ FRAC_CONST(0.5211027366890234),
+ FRAC_CONST(0.52389299385697385),
+ FRAC_CONST(0.52667764055185196),
+ FRAC_CONST(0.52945664695232897),
+ FRAC_CONST(0.53222998329747884),
+ FRAC_CONST(0.53499761988709726),
+ FRAC_CONST(0.53775952708201991),
+ FRAC_CONST(0.54051567530443978),
+ FRAC_CONST(0.54326603503822357),
+ FRAC_CONST(0.54601057682922816),
+ FRAC_CONST(0.54874927128561579),
+ FRAC_CONST(0.55148208907816942),
+ FRAC_CONST(0.55420900094060566),
+ FRAC_CONST(0.55692997766988939),
+ FRAC_CONST(0.559644990126546),
+ FRAC_CONST(0.56235400923497314),
+ FRAC_CONST(0.56505700598375252),
+ FRAC_CONST(0.56775395142596052),
+ FRAC_CONST(0.57044481667947822),
+ FRAC_CONST(0.57312957292730071),
+ FRAC_CONST(0.57580819141784534),
+ FRAC_CONST(0.57848064346525996),
+ FRAC_CONST(0.58114690044973039),
+ FRAC_CONST(0.58380693381778626),
+ FRAC_CONST(0.58646071508260733),
+ FRAC_CONST(0.58910821582432815),
+ FRAC_CONST(0.5917494076903429),
+ FRAC_CONST(0.5943842623956086),
+ FRAC_CONST(0.59701275172294799),
+ FRAC_CONST(0.59963484752335228),
+ FRAC_CONST(0.60225052171628191),
+ FRAC_CONST(0.60485974628996786),
+ FRAC_CONST(0.60746249330171098),
+ FRAC_CONST(0.61005873487818185),
+ FRAC_CONST(0.61264844321571899),
+ FRAC_CONST(0.61523159058062682),
+ FRAC_CONST(0.61780814930947225),
+ FRAC_CONST(0.62037809180938108),
+ FRAC_CONST(0.62294139055833397),
+ FRAC_CONST(0.6254980181054608),
+ FRAC_CONST(0.62804794707133416),
+ FRAC_CONST(0.63059115014826372),
+ FRAC_CONST(0.63312760010058777),
+ FRAC_CONST(0.63565726976496484),
+ FRAC_CONST(0.63818013205066515),
+ FRAC_CONST(0.64069615993986073),
+ FRAC_CONST(0.64320532648791406),
+ FRAC_CONST(0.64570760482366729),
+ FRAC_CONST(0.64820296814972966),
+ FRAC_CONST(0.65069138974276486),
+ FRAC_CONST(0.65317284295377676),
+ FRAC_CONST(0.65564730120839498),
+ FRAC_CONST(0.65811473800715958),
+ FRAC_CONST(0.660575126925805),
+ FRAC_CONST(0.66302844161554231),
+ FRAC_CONST(0.6654746558033422),
+ FRAC_CONST(0.66791374329221598),
+ FRAC_CONST(0.67034567796149647),
+ FRAC_CONST(0.67277043376711676),
+ FRAC_CONST(0.67518798474189046),
+ FRAC_CONST(0.67759830499578866),
+ FRAC_CONST(0.68000136871621808),
+ FRAC_CONST(0.68239715016829683),
+ FRAC_CONST(0.6847856236951303),
+ FRAC_CONST(0.68716676371808583),
+ FRAC_CONST(0.68954054473706683),
+ FRAC_CONST(0.69190694133078579),
+ FRAC_CONST(0.69426592815703603),
+ FRAC_CONST(0.69661747995296419),
+ FRAC_CONST(0.69896157153533944),
+ FRAC_CONST(0.70129817780082437),
+ FRAC_CONST(0.7036272737262429),
+ FRAC_CONST(0.70594883436884903),
+ FRAC_CONST(0.70826283486659336),
+ FRAC_CONST(0.71056925043838959),
+ FRAC_CONST(0.71286805638437978),
+ FRAC_CONST(0.71515922808619936),
+ FRAC_CONST(0.71744274100723993),
+ FRAC_CONST(0.71971857069291278),
+ FRAC_CONST(0.7219866927709101),
+ FRAC_CONST(0.72424708295146689),
+ FRAC_CONST(0.72649971702762028),
+ FRAC_CONST(0.72874457087546896),
+ FRAC_CONST(0.73098162045443171),
+ FRAC_CONST(0.73321084180750484),
+ FRAC_CONST(0.73543221106151868),
+ FRAC_CONST(0.73764570442739286),
+ FRAC_CONST(0.73985129820039208),
+ FRAC_CONST(0.74204896876037885),
+ FRAC_CONST(0.7442386925720671),
+ FRAC_CONST(0.74642044618527381),
+ FRAC_CONST(0.74859420623517081),
+ FRAC_CONST(0.75075994944253421),
+ FRAC_CONST(0.75291765261399446),
+ FRAC_CONST(0.75506729264228367),
+ FRAC_CONST(0.75720884650648446),
+ FRAC_CONST(0.75934229127227548),
+ FRAC_CONST(0.76146760409217706),
+ FRAC_CONST(0.76358476220579641),
+ FRAC_CONST(0.7656937429400712),
+ FRAC_CONST(0.76779452370951196),
+ FRAC_CONST(0.76988708201644451),
+ FRAC_CONST(0.77197139545125026),
+ FRAC_CONST(0.7740474416926072),
+ FRAC_CONST(0.77611519850772781),
+ FRAC_CONST(0.77817464375259782),
+ FRAC_CONST(0.78022575537221317),
+ FRAC_CONST(0.78226851140081632),
+ FRAC_CONST(0.78430288996213138),
+ FRAC_CONST(0.78632886926959822),
+ FRAC_CONST(0.78834642762660623),
+ FRAC_CONST(0.79035554342672631),
+ FRAC_CONST(0.79235619515394229),
+ FRAC_CONST(0.79434836138288134),
+ FRAC_CONST(0.79633202077904397),
+ FRAC_CONST(0.79830715209903147),
+ FRAC_CONST(0.8002737341907743),
+ FRAC_CONST(0.80223174599375802),
+ FRAC_CONST(0.80418116653924954),
+ FRAC_CONST(0.80612197495052085),
+ FRAC_CONST(0.80805415044307316),
+ FRAC_CONST(0.80997767232485907),
+ FRAC_CONST(0.81189251999650469),
+ FRAC_CONST(0.81379867295152986),
+ FRAC_CONST(0.81569611077656778),
+ FRAC_CONST(0.81758481315158371),
+ FRAC_CONST(0.81946475985009259),
+ FRAC_CONST(0.82133593073937561),
+ FRAC_CONST(0.82319830578069586),
+ FRAC_CONST(0.82505186502951278),
+ FRAC_CONST(0.82689658863569615),
+ FRAC_CONST(0.82873245684373809),
+ FRAC_CONST(0.83055944999296494),
+ FRAC_CONST(0.83237754851774781),
+ FRAC_CONST(0.83418673294771239),
+ FRAC_CONST(0.83598698390794668),
+ FRAC_CONST(0.83777828211920935),
+ FRAC_CONST(0.83956060839813562),
+ FRAC_CONST(0.84133394365744296),
+ FRAC_CONST(0.84309826890613537),
+ FRAC_CONST(0.84485356524970701),
+ FRAC_CONST(0.84659981389034411),
+ FRAC_CONST(0.84833699612712676),
+ FRAC_CONST(0.85006509335622882),
+ FRAC_CONST(0.8517840870711173),
+ FRAC_CONST(0.85349395886275037),
+ FRAC_CONST(0.85519469041977514),
+ FRAC_CONST(0.85688626352872277),
+ FRAC_CONST(0.85856866007420429),
+ FRAC_CONST(0.86024186203910447),
+ FRAC_CONST(0.86190585150477417),
+ FRAC_CONST(0.86356061065122347),
+ FRAC_CONST(0.86520612175731115),
+ FRAC_CONST(0.86684236720093533),
+ FRAC_CONST(0.86846932945922151),
+ FRAC_CONST(0.87008699110871135),
+ FRAC_CONST(0.87169533482554817),
+ FRAC_CONST(0.87329434338566281),
+ FRAC_CONST(0.87488399966495822),
+ FRAC_CONST(0.87646428663949283),
+ FRAC_CONST(0.87803518738566277),
+ FRAC_CONST(0.87959668508038291),
+ FRAC_CONST(0.88114876300126743),
+ FRAC_CONST(0.88269140452680916),
+ FRAC_CONST(0.8842245931365561),
+ FRAC_CONST(0.88574831241129048),
+ FRAC_CONST(0.88726254603320276),
+ FRAC_CONST(0.88876727778606746),
+ FRAC_CONST(0.89026249155541637),
+ FRAC_CONST(0.8917481713287112),
+ FRAC_CONST(0.89322430119551532),
+ FRAC_CONST(0.89469086534766362),
+ FRAC_CONST(0.89614784807943237),
+ FRAC_CONST(0.89759523378770689),
+ FRAC_CONST(0.89903300697214927),
+ FRAC_CONST(0.9004611522353636),
+ FRAC_CONST(0.90187965428306172),
+ FRAC_CONST(0.90328849792422594),
+ FRAC_CONST(0.90468766807127299),
+ FRAC_CONST(0.90607714974021469),
+ FRAC_CONST(0.90745692805081868),
+ FRAC_CONST(0.90882698822676755),
+ FRAC_CONST(0.91018731559581767),
+ FRAC_CONST(0.91153789558995579),
+ FRAC_CONST(0.91287871374555518),
+ FRAC_CONST(0.91420975570353069),
+ FRAC_CONST(0.9155310072094921),
+ FRAC_CONST(0.91684245411389753),
+ FRAC_CONST(0.91814408237220391),
+ FRAC_CONST(0.91943587804501858),
+ FRAC_CONST(0.92071782729824769),
+ FRAC_CONST(0.92198991640324446),
+ FRAC_CONST(0.92325213173695675),
+ FRAC_CONST(0.92450445978207241),
+ FRAC_CONST(0.92574688712716402),
+ FRAC_CONST(0.92697940046683291),
+ FRAC_CONST(0.92820198660185149),
+ FRAC_CONST(0.92941463243930444),
+ FRAC_CONST(0.93061732499272909),
+ FRAC_CONST(0.93181005138225426),
+ FRAC_CONST(0.93299279883473885),
+ FRAC_CONST(0.93416555468390772),
+ FRAC_CONST(0.93532830637048769),
+ FRAC_CONST(0.93648104144234268),
+ FRAC_CONST(0.93762374755460598),
+ FRAC_CONST(0.93875641246981323),
+ FRAC_CONST(0.93987902405803303),
+ FRAC_CONST(0.94099157029699743),
+ FRAC_CONST(0.94209403927222979),
+ FRAC_CONST(0.94318641917717327),
+ FRAC_CONST(0.9442686983133165),
+ FRAC_CONST(0.94534086509031956),
+ FRAC_CONST(0.9464029080261378),
+ FRAC_CONST(0.94745481574714419),
+ FRAC_CONST(0.94849657698825252),
+ FRAC_CONST(0.94952818059303667),
+ FRAC_CONST(0.95054961551385087),
+ FRAC_CONST(0.95156087081194762),
+ FRAC_CONST(0.95256193565759528),
+ FRAC_CONST(0.95355279933019343),
+ FRAC_CONST(0.9545334512183884),
+ FRAC_CONST(0.95550388082018611),
+ FRAC_CONST(0.95646407774306541),
+ FRAC_CONST(0.95741403170408834),
+ FRAC_CONST(0.95835373253001133),
+ FRAC_CONST(0.95928317015739362),
+ FRAC_CONST(0.96020233463270466),
+ FRAC_CONST(0.96111121611243155),
+ FRAC_CONST(0.96200980486318388),
+ FRAC_CONST(0.96289809126179782),
+ FRAC_CONST(0.96377606579543984),
+ FRAC_CONST(0.96464371906170809),
+ FRAC_CONST(0.96550104176873297),
+ FRAC_CONST(0.96634802473527726),
+ FRAC_CONST(0.96718465889083372),
+ FRAC_CONST(0.96801093527572268),
+ FRAC_CONST(0.96882684504118799),
+ FRAC_CONST(0.96963237944949143),
+ FRAC_CONST(0.97042752987400682),
+ FRAC_CONST(0.97121228779931179),
+ FRAC_CONST(0.97198664482127939),
+ FRAC_CONST(0.97275059264716823),
+ FRAC_CONST(0.97350412309571066),
+ FRAC_CONST(0.97424722809720088),
+ FRAC_CONST(0.97497989969358168),
+ FRAC_CONST(0.97570213003852857),
+ FRAC_CONST(0.97641391139753486),
+ FRAC_CONST(0.97711523614799412),
+ FRAC_CONST(0.97780609677928154),
+ FRAC_CONST(0.97848648589283505),
+ FRAC_CONST(0.97915639620223371),
+ FRAC_CONST(0.9798158205332762),
+ FRAC_CONST(0.98046475182405801),
+ FRAC_CONST(0.98110318312504607),
+ FRAC_CONST(0.98173110759915416),
+ FRAC_CONST(0.98234851852181571),
+ FRAC_CONST(0.98295540928105563),
+ FRAC_CONST(0.9835517733775615),
+ FRAC_CONST(0.98413760442475307),
+ FRAC_CONST(0.98471289614885038),
+ FRAC_CONST(0.98527764238894122),
+ FRAC_CONST(0.98583183709704714),
+ FRAC_CONST(0.98637547433818806),
+ FRAC_CONST(0.98690854829044583),
+ FRAC_CONST(0.98743105324502667),
+ FRAC_CONST(0.98794298360632238),
+ FRAC_CONST(0.98844433389196995),
+ FRAC_CONST(0.98893509873291074),
+ FRAC_CONST(0.98941527287344755),
+ FRAC_CONST(0.98988485117130098),
+ FRAC_CONST(0.99034382859766479),
+ FRAC_CONST(0.99079220023725967),
+ FRAC_CONST(0.99122996128838525),
+ FRAC_CONST(0.9916571070629725),
+ FRAC_CONST(0.99207363298663342),
+ FRAC_CONST(0.99247953459870997),
+ FRAC_CONST(0.99287480755232194),
+ FRAC_CONST(0.99325944761441354),
+ FRAC_CONST(0.99363345066579889),
+ FRAC_CONST(0.99399681270120555),
+ FRAC_CONST(0.99434952982931812),
+ FRAC_CONST(0.9946915982728195),
+ FRAC_CONST(0.99502301436843166),
+ FRAC_CONST(0.99534377456695422),
+ FRAC_CONST(0.9956538754333033),
+ FRAC_CONST(0.99595331364654771),
+ FRAC_CONST(0.99624208599994479),
+ FRAC_CONST(0.99652018940097464),
+ FRAC_CONST(0.99678762087137318),
+ FRAC_CONST(0.99704437754716424),
+ FRAC_CONST(0.99729045667869021),
+ FRAC_CONST(0.99752585563064111),
+ FRAC_CONST(0.99775057188208349),
+ FRAC_CONST(0.9979646030264866),
+ FRAC_CONST(0.99816794677174903),
+ FRAC_CONST(0.9983606009402225),
+ FRAC_CONST(0.99854256346873571),
+ FRAC_CONST(0.99871383240861611),
+ FRAC_CONST(0.99887440592571108),
+ FRAC_CONST(0.99902428230040718),
+ FRAC_CONST(0.99916345992764877),
+ FRAC_CONST(0.99929193731695531),
+ FRAC_CONST(0.99940971309243731),
+ FRAC_CONST(0.99951678599281069),
+ FRAC_CONST(0.99961315487141078),
+ FRAC_CONST(0.99969881869620425),
+ FRAC_CONST(0.99977377654980037),
+ FRAC_CONST(0.99983802762946083),
+ FRAC_CONST(0.99989157124710804),
+ FRAC_CONST(0.9999344068293331),
+ FRAC_CONST(0.99996653391740109),
+ FRAC_CONST(0.99998795216725689),
+ FRAC_CONST(0.99999866134952808)
};
+#endif
-real_t ld_mid_512[] =
+ALIGN static const real_t ld_mid_512[] =
{
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0061358848),
- COEF_CONST(0.0184067304),
- COEF_CONST(0.0306748040),
- COEF_CONST(0.0429382581),
- COEF_CONST(0.0551952459),
- COEF_CONST(0.0674439214),
- COEF_CONST(0.0796824402),
- COEF_CONST(0.0919089590),
- COEF_CONST(0.1041216368),
- COEF_CONST(0.1163186341),
- COEF_CONST(0.1284981143),
- COEF_CONST(0.1406582432),
- COEF_CONST(0.1527971895),
- COEF_CONST(0.1649131250),
- COEF_CONST(0.1770042253),
- COEF_CONST(0.1890686693),
- COEF_CONST(0.2011046404),
- COEF_CONST(0.2131103258),
- COEF_CONST(0.2250839175),
- COEF_CONST(0.2370236125),
- COEF_CONST(0.2489276125),
- COEF_CONST(0.2607941250),
- COEF_CONST(0.2726213628),
- COEF_CONST(0.2844075449),
- COEF_CONST(0.2961508962),
- COEF_CONST(0.3078496483),
- COEF_CONST(0.3195020394),
- COEF_CONST(0.3311063146),
- COEF_CONST(0.3426607265),
- COEF_CONST(0.3541635348),
- COEF_CONST(0.3656130075),
- COEF_CONST(0.3770074202),
- COEF_CONST(0.3883450569),
- COEF_CONST(0.3996242103),
- COEF_CONST(0.4108431818),
- COEF_CONST(0.4220002818),
- COEF_CONST(0.4330938301),
- COEF_CONST(0.4441221560),
- COEF_CONST(0.4550835988),
- COEF_CONST(0.4659765077),
- COEF_CONST(0.4767992422),
- COEF_CONST(0.4875501725),
- COEF_CONST(0.4982276796),
- COEF_CONST(0.5088301553),
- COEF_CONST(0.5193560032),
- COEF_CONST(0.5298036379),
- COEF_CONST(0.5401714861),
- COEF_CONST(0.5504579865),
- COEF_CONST(0.5606615899),
- COEF_CONST(0.5707807598),
- COEF_CONST(0.5808139721),
- COEF_CONST(0.5907597160),
- COEF_CONST(0.6006164937),
- COEF_CONST(0.6103828207),
- COEF_CONST(0.6200572264),
- COEF_CONST(0.6296382536),
- COEF_CONST(0.6391244597),
- COEF_CONST(0.6485144160),
- COEF_CONST(0.6578067083),
- COEF_CONST(0.6669999374),
- COEF_CONST(0.6760927188),
- COEF_CONST(0.6850836831),
- COEF_CONST(0.6939714763),
- COEF_CONST(0.7027547599),
- COEF_CONST(0.7114322112),
- COEF_CONST(0.7200025235),
- COEF_CONST(0.7284644060),
- COEF_CONST(0.7368165845),
- COEF_CONST(0.7450578010),
- COEF_CONST(0.7531868147),
- COEF_CONST(0.7612024011),
- COEF_CONST(0.7691033533),
- COEF_CONST(0.7768884813),
- COEF_CONST(0.7845566127),
- COEF_CONST(0.7921065928),
- COEF_CONST(0.7995372846),
- COEF_CONST(0.8068475690),
- COEF_CONST(0.8140363451),
- COEF_CONST(0.8211025303),
- COEF_CONST(0.8280450605),
- COEF_CONST(0.8348628901),
- COEF_CONST(0.8415549925),
- COEF_CONST(0.8481203597),
- COEF_CONST(0.8545580032),
- COEF_CONST(0.8608669533),
- COEF_CONST(0.8670462601),
- COEF_CONST(0.8730949928),
- COEF_CONST(0.8790122407),
- COEF_CONST(0.8847971125),
- COEF_CONST(0.8904487372),
- COEF_CONST(0.8959662635),
- COEF_CONST(0.9013488606),
- COEF_CONST(0.9065957178),
- COEF_CONST(0.9117060451),
- COEF_CONST(0.9166790728),
- COEF_CONST(0.9215140520),
- COEF_CONST(0.9262102546),
- COEF_CONST(0.9307669733),
- COEF_CONST(0.9351835219),
- COEF_CONST(0.9394592352),
- COEF_CONST(0.9435934695),
- COEF_CONST(0.9475856021),
- COEF_CONST(0.9514350317),
- COEF_CONST(0.9551411788),
- COEF_CONST(0.9587034850),
- COEF_CONST(0.9621214141),
- COEF_CONST(0.9653944512),
- COEF_CONST(0.9685221034),
- COEF_CONST(0.9715038998),
- COEF_CONST(0.9743393912),
- COEF_CONST(0.9770281507),
- COEF_CONST(0.9795697733),
- COEF_CONST(0.9819638764),
- COEF_CONST(0.9842100992),
- COEF_CONST(0.9863081037),
- COEF_CONST(0.9882575738),
- COEF_CONST(0.9900582159),
- COEF_CONST(0.9917097588),
- COEF_CONST(0.9932119539),
- COEF_CONST(0.9945645750),
- COEF_CONST(0.9957674182),
- COEF_CONST(0.9968203026),
- COEF_CONST(0.9977230695),
- COEF_CONST(0.9984755829),
- COEF_CONST(0.9990777296),
- COEF_CONST(0.9995294188),
- COEF_CONST(0.9998305826),
- COEF_CONST(0.9999811755),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000)
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0.0061358846491544753),
+ FRAC_CONST(0.01840672990580482),
+ FRAC_CONST(0.030674803176636626),
+ FRAC_CONST(0.04293825693494082),
+ FRAC_CONST(0.055195244349689934),
+ FRAC_CONST(0.067443919563664051),
+ FRAC_CONST(0.079682437971430126),
+ FRAC_CONST(0.091908956497132724),
+ FRAC_CONST(0.10412163387205459),
+ FRAC_CONST(0.11631863091190475),
+ FRAC_CONST(0.12849811079379317),
+ FRAC_CONST(0.14065823933284921),
+ FRAC_CONST(0.15279718525844344),
+ FRAC_CONST(0.16491312048996989),
+ FRAC_CONST(0.17700422041214875),
+ FRAC_CONST(0.18906866414980619),
+ FRAC_CONST(0.2011046348420919),
+ FRAC_CONST(0.21311031991609136),
+ FRAC_CONST(0.22508391135979283),
+ FRAC_CONST(0.2370236059943672),
+ FRAC_CONST(0.24892760574572015),
+ FRAC_CONST(0.26079411791527551),
+ FRAC_CONST(0.27262135544994898),
+ FRAC_CONST(0.28440753721127188),
+ FRAC_CONST(0.29615088824362379),
+ FRAC_CONST(0.30784964004153487),
+ FRAC_CONST(0.31950203081601569),
+ FRAC_CONST(0.33110630575987643),
+ FRAC_CONST(0.34266071731199438),
+ FRAC_CONST(0.35416352542049034),
+ FRAC_CONST(0.36561299780477385),
+ FRAC_CONST(0.37700741021641826),
+ FRAC_CONST(0.38834504669882625),
+ FRAC_CONST(0.39962419984564679),
+ FRAC_CONST(0.41084317105790391),
+ FRAC_CONST(0.42200027079979968),
+ FRAC_CONST(0.43309381885315196),
+ FRAC_CONST(0.4441221445704292),
+ FRAC_CONST(0.45508358712634384),
+ FRAC_CONST(0.46597649576796618),
+ FRAC_CONST(0.47679923006332209),
+ FRAC_CONST(0.487550160148436),
+ FRAC_CONST(0.49822766697278187),
+ FRAC_CONST(0.50883014254310699),
+ FRAC_CONST(0.51935599016558964),
+ FRAC_CONST(0.52980362468629461),
+ FRAC_CONST(0.54017147272989285),
+ FRAC_CONST(0.55045797293660481),
+ FRAC_CONST(0.56066157619733603),
+ FRAC_CONST(0.57078074588696726),
+ FRAC_CONST(0.58081395809576453),
+ FRAC_CONST(0.59075970185887416),
+ FRAC_CONST(0.60061647938386897),
+ FRAC_CONST(0.61038280627630948),
+ FRAC_CONST(0.6200572117632891),
+ FRAC_CONST(0.62963823891492698),
+ FRAC_CONST(0.63912444486377573),
+ FRAC_CONST(0.64851440102211244),
+ FRAC_CONST(0.65780669329707864),
+ FRAC_CONST(0.66699992230363747),
+ FRAC_CONST(0.67609270357531592),
+ FRAC_CONST(0.68508366777270036),
+ FRAC_CONST(0.693971460889654),
+ FRAC_CONST(0.7027547444572253),
+ FRAC_CONST(0.71143219574521643),
+ FRAC_CONST(0.72000250796138165),
+ FRAC_CONST(0.7284643904482252),
+ FRAC_CONST(0.73681656887736979),
+ FRAC_CONST(0.74505778544146595),
+ FRAC_CONST(0.75318679904361241),
+ FRAC_CONST(0.76120238548426178),
+ FRAC_CONST(0.76910333764557959),
+ FRAC_CONST(0.77688846567323244),
+ FRAC_CONST(0.78455659715557524),
+ FRAC_CONST(0.79210657730021239),
+ FRAC_CONST(0.79953726910790501),
+ FRAC_CONST(0.80684755354379922),
+ FRAC_CONST(0.8140363297059483),
+ FRAC_CONST(0.82110251499110465),
+ FRAC_CONST(0.8280450452577558),
+ FRAC_CONST(0.83486287498638001),
+ FRAC_CONST(0.84155497743689833),
+ FRAC_CONST(0.84812034480329712),
+ FRAC_CONST(0.85455798836540053),
+ FRAC_CONST(0.86086693863776731),
+ FRAC_CONST(0.86704624551569265),
+ FRAC_CONST(0.87309497841829009),
+ FRAC_CONST(0.87901222642863341),
+ FRAC_CONST(0.88479709843093779),
+ FRAC_CONST(0.89044872324475788),
+ FRAC_CONST(0.89596624975618511),
+ FRAC_CONST(0.90134884704602203),
+ FRAC_CONST(0.90659570451491533),
+ FRAC_CONST(0.91170603200542988),
+ FRAC_CONST(0.9166790599210427),
+ FRAC_CONST(0.9215140393420419),
+ FRAC_CONST(0.92621024213831127),
+ FRAC_CONST(0.93076696107898371),
+ FRAC_CONST(0.9351835099389475),
+ FRAC_CONST(0.93945922360218992),
+ FRAC_CONST(0.94359345816196039),
+ FRAC_CONST(0.94758559101774109),
+ FRAC_CONST(0.95143502096900834),
+ FRAC_CONST(0.95514116830577067),
+ FRAC_CONST(0.9587034748958716),
+ FRAC_CONST(0.96212140426904158),
+ FRAC_CONST(0.9653944416976894),
+ FRAC_CONST(0.96852209427441727),
+ FRAC_CONST(0.97150389098625178),
+ FRAC_CONST(0.97433938278557586),
+ FRAC_CONST(0.97702814265775439),
+ FRAC_CONST(0.97956976568544052),
+ FRAC_CONST(0.98196386910955524),
+ FRAC_CONST(0.98421009238692903),
+ FRAC_CONST(0.98630809724459867),
+ FRAC_CONST(0.98825756773074946),
+ FRAC_CONST(0.99005821026229712),
+ FRAC_CONST(0.99170975366909953),
+ FRAC_CONST(0.9932119492347945),
+ FRAC_CONST(0.99456457073425542),
+ FRAC_CONST(0.99576741446765982),
+ FRAC_CONST(0.99682029929116567),
+ FRAC_CONST(0.99772306664419164),
+ FRAC_CONST(0.99847558057329477),
+ FRAC_CONST(0.99907772775264536),
+ FRAC_CONST(0.99952941750109314),
+ FRAC_CONST(0.9998305817958234),
+ FRAC_CONST(0.99998117528260111),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1)
};
-real_t ld_mid_480[] =
+#ifdef ALLOW_SMALL_FRAMELENGTH
+ALIGN static const real_t ld_mid_480[] =
{
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0000000000),
- COEF_CONST(0.0065449381),
- COEF_CONST(0.0196336930),
- COEF_CONST(0.0327190837),
- COEF_CONST(0.0457988682),
- COEF_CONST(0.0588708053),
- COEF_CONST(0.0719326552),
- COEF_CONST(0.0849821797),
- COEF_CONST(0.0980171430),
- COEF_CONST(0.1110353116),
- COEF_CONST(0.1240344549),
- COEF_CONST(0.1370123455),
- COEF_CONST(0.1499667597),
- COEF_CONST(0.1628954779),
- COEF_CONST(0.1757962848),
- COEF_CONST(0.1886669699),
- COEF_CONST(0.2015053279),
- COEF_CONST(0.2143091589),
- COEF_CONST(0.2270762692),
- COEF_CONST(0.2398044712),
- COEF_CONST(0.2524915839),
- COEF_CONST(0.2651354334),
- COEF_CONST(0.2777338534),
- COEF_CONST(0.2902846851),
- COEF_CONST(0.3027857780),
- COEF_CONST(0.3152349901),
- COEF_CONST(0.3276301883),
- COEF_CONST(0.3399692488),
- COEF_CONST(0.3522500573),
- COEF_CONST(0.3644705095),
- COEF_CONST(0.3766285116),
- COEF_CONST(0.3887219804),
- COEF_CONST(0.4007488436),
- COEF_CONST(0.4127070406),
- COEF_CONST(0.4245945223),
- COEF_CONST(0.4364092520),
- COEF_CONST(0.4481492051),
- COEF_CONST(0.4598123703),
- COEF_CONST(0.4713967489),
- COEF_CONST(0.4829003561),
- COEF_CONST(0.4943212208),
- COEF_CONST(0.5056573861),
- COEF_CONST(0.5169069096),
- COEF_CONST(0.5280678638),
- COEF_CONST(0.5391383363),
- COEF_CONST(0.5501164301),
- COEF_CONST(0.5610002644),
- COEF_CONST(0.5717879741),
- COEF_CONST(0.5824777109),
- COEF_CONST(0.5930676432),
- COEF_CONST(0.6035559563),
- COEF_CONST(0.6139408533),
- COEF_CONST(0.6242205546),
- COEF_CONST(0.6343932989),
- COEF_CONST(0.6444573433),
- COEF_CONST(0.6544109631),
- COEF_CONST(0.6642524530),
- COEF_CONST(0.6739801267),
- COEF_CONST(0.6835923173),
- COEF_CONST(0.6930873779),
- COEF_CONST(0.7024636815),
- COEF_CONST(0.7117196216),
- COEF_CONST(0.7208536122),
- COEF_CONST(0.7298640883),
- COEF_CONST(0.7387495058),
- COEF_CONST(0.7475083425),
- COEF_CONST(0.7561390974),
- COEF_CONST(0.7646402918),
- COEF_CONST(0.7730104690),
- COEF_CONST(0.7812481948),
- COEF_CONST(0.7893520577),
- COEF_CONST(0.7973206693),
- COEF_CONST(0.8051526640),
- COEF_CONST(0.8128467000),
- COEF_CONST(0.8204014588),
- COEF_CONST(0.8278156461),
- COEF_CONST(0.8350879914),
- COEF_CONST(0.8422172487),
- COEF_CONST(0.8492021964),
- COEF_CONST(0.8560416377),
- COEF_CONST(0.8627344006),
- COEF_CONST(0.8692793384),
- COEF_CONST(0.8756753297),
- COEF_CONST(0.8819212785),
- COEF_CONST(0.8880161146),
- COEF_CONST(0.8939587938),
- COEF_CONST(0.8997482976),
- COEF_CONST(0.9053836343),
- COEF_CONST(0.9108638381),
- COEF_CONST(0.9161879700),
- COEF_CONST(0.9213551179),
- COEF_CONST(0.9263643963),
- COEF_CONST(0.9312149469),
- COEF_CONST(0.9359059386),
- COEF_CONST(0.9404365677),
- COEF_CONST(0.9448060577),
- COEF_CONST(0.9490136602),
- COEF_CONST(0.9530586539),
- COEF_CONST(0.9569403460),
- COEF_CONST(0.9606580713),
- COEF_CONST(0.9642111928),
- COEF_CONST(0.9675991016),
- COEF_CONST(0.9708212173),
- COEF_CONST(0.9738769878),
- COEF_CONST(0.9767658894),
- COEF_CONST(0.9794874272),
- COEF_CONST(0.9820411349),
- COEF_CONST(0.9844265749),
- COEF_CONST(0.9866433385),
- COEF_CONST(0.9886910458),
- COEF_CONST(0.9905693459),
- COEF_CONST(0.9922779171),
- COEF_CONST(0.9938164666),
- COEF_CONST(0.9951847307),
- COEF_CONST(0.9963824750),
- COEF_CONST(0.9974094943),
- COEF_CONST(0.9982656127),
- COEF_CONST(0.9989506833),
- COEF_CONST(0.9994645889),
- COEF_CONST(0.9998072413),
- COEF_CONST(0.9999785819),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000),
- COEF_CONST(1.0000000000)
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0),
+ FRAC_CONST(0.0065449379673518581),
+ FRAC_CONST(0.019633692460628301),
+ FRAC_CONST(0.032719082821776137),
+ FRAC_CONST(0.045798866936520771),
+ FRAC_CONST(0.058870803651189033),
+ FRAC_CONST(0.071932653156719387),
+ FRAC_CONST(0.084982177372441667),
+ FRAC_CONST(0.09801714032956059),
+ FRAC_CONST(0.11103530855427769),
+ FRAC_CONST(0.12403445145048532),
+ FRAC_CONST(0.13701234168196802),
+ FRAC_CONST(0.14996675555404498),
+ FRAC_CONST(0.16289547339458874),
+ FRAC_CONST(0.17579627993435451),
+ FRAC_CONST(0.18866696468655525),
+ FRAC_CONST(0.2015053223256171),
+ FRAC_CONST(0.21430915306505074),
+ FRAC_CONST(0.2270762630343732),
+ FRAC_CONST(0.23980446465501654),
+ FRAC_CONST(0.25249157701515795),
+ FRAC_CONST(0.26513542624340797),
+ FRAC_CONST(0.27773384588129219),
+ FRAC_CONST(0.29028467725446233),
+ FRAC_CONST(0.3027857698425746),
+ FRAC_CONST(0.31523498164776964),
+ FRAC_CONST(0.32763017956169349),
+ FRAC_CONST(0.33996923973099424),
+ FRAC_CONST(0.35225004792123354),
+ FRAC_CONST(0.36447049987914965),
+ FRAC_CONST(0.37662850169321077),
+ FRAC_CONST(0.38872197015239557),
+ FRAC_CONST(0.40074883310314097),
+ FRAC_CONST(0.41270702980439467),
+ FRAC_CONST(0.42459451128071307),
+ FRAC_CONST(0.43640924067334208),
+ FRAC_CONST(0.44814919358922256),
+ FRAC_CONST(0.45981235844785984),
+ FRAC_CONST(0.47139673682599764),
+ FRAC_CONST(0.48290034380003727),
+ FRAC_CONST(0.49432120828614462),
+ FRAC_CONST(0.50565737337798455),
+ FRAC_CONST(0.51690689668202761),
+ FRAC_CONST(0.52806785065036799),
+ FRAC_CONST(0.53913832291100017),
+ FRAC_CONST(0.55011641659549337),
+ FRAC_CONST(0.56100025066400983),
+ FRAC_CONST(0.57178796022761225),
+ FRAC_CONST(0.58247769686780215),
+ FRAC_CONST(0.59306762895323706),
+ FRAC_CONST(0.60355594195357143),
+ FRAC_CONST(0.61394083875036642),
+ FRAC_CONST(0.62422053994501758),
+ FRAC_CONST(0.63439328416364549),
+ FRAC_CONST(0.64445732835889735),
+ FRAC_CONST(0.65441094810861034),
+ FRAC_CONST(0.66425243791128175),
+ FRAC_CONST(0.67398011147829784),
+ FRAC_CONST(0.68359230202287125),
+ FRAC_CONST(0.69308736254563585),
+ FRAC_CONST(0.70246366611685174),
+ FRAC_CONST(0.71171960615517138),
+ FRAC_CONST(0.72085359670291882),
+ FRAC_CONST(0.7298640726978356),
+ FRAC_CONST(0.73874949024124625),
+ FRAC_CONST(0.74750832686259672),
+ FRAC_CONST(0.75613908178032285),
+ FRAC_CONST(0.76464027615900032),
+ FRAC_CONST(0.77301045336273699),
+ FRAC_CONST(0.78124817920475853),
+ FRAC_CONST(0.78935204219315003),
+ FRAC_CONST(0.79732065377270711),
+ FRAC_CONST(0.80515264856285829),
+ FRAC_CONST(0.81284668459161513),
+ FRAC_CONST(0.82040144352551359),
+ FRAC_CONST(0.82781563089550203),
+ FRAC_CONST(0.83508797631874299),
+ FRAC_CONST(0.84221723371628654),
+ FRAC_CONST(0.84920218152657889),
+ FRAC_CONST(0.85604162291477137),
+ FRAC_CONST(0.86273438597779184),
+ FRAC_CONST(0.86927932394514362),
+ FRAC_CONST(0.87567531537539967),
+ FRAC_CONST(0.88192126434835494),
+ FRAC_CONST(0.88801610065280734),
+ FRAC_CONST(0.89395877996993212),
+ FRAC_CONST(0.8997482840522214),
+ FRAC_CONST(0.90538362089795521),
+ FRAC_CONST(0.91086382492117568),
+ FRAC_CONST(0.91618795711713596),
+ FRAC_CONST(0.92135510522319242),
+ FRAC_CONST(0.9263643838751181),
+ FRAC_CONST(0.93121493475880346),
+ FRAC_CONST(0.93590592675732565),
+ FRAC_CONST(0.94043655609335486),
+ FRAC_CONST(0.94480604646687805),
+ FRAC_CONST(0.94901364918821385),
+ FRAC_CONST(0.95305864330629697),
+ FRAC_CONST(0.95694033573220882),
+ FRAC_CONST(0.9606580613579353),
+ FRAC_CONST(0.96421118317032928),
+ FRAC_CONST(0.96759909236025976),
+ FRAC_CONST(0.9708212084269281),
+ FRAC_CONST(0.97387697927733363),
+ FRAC_CONST(0.97676588132087239),
+ FRAC_CONST(0.97948741955905139),
+ FRAC_CONST(0.98204112767030394),
+ FRAC_CONST(0.98442656808989171),
+ FRAC_CONST(0.98664333208487898),
+ FRAC_CONST(0.98869103982416728),
+ FRAC_CONST(0.99056934044357725),
+ FRAC_CONST(0.99227791210596705),
+ FRAC_CONST(0.99381646205637808),
+ FRAC_CONST(0.99518472667219682),
+ FRAC_CONST(0.99638247150832537),
+ FRAC_CONST(0.99740949133735191),
+ FRAC_CONST(0.99826561018471593),
+ FRAC_CONST(0.99895068135886012),
+ FRAC_CONST(0.99946458747636568),
+ FRAC_CONST(0.99980724048206482),
+ FRAC_CONST(0.99997858166412923),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1),
+ FRAC_CONST(1)
};
#endif
+#endif
#ifdef __cplusplus
}
Index: specrec.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/specrec.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- specrec.c 3 Oct 2003 22:22:27 -0000 1.2
+++ specrec.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -36,49 +36,67 @@
#include "structs.h"
#include <string.h>
+#include <stdlib.h>
#include "specrec.h"
#include "syntax.h"
#include "iq_table.h"
+#include "ms.h"
+#include "is.h"
+#include "pns.h"
+#include "tns.h"
+#include "drc.h"
+#include "lt_predict.h"
+#include "ic_predict.h"
+#ifdef SSR_DEC
+#include "ssr.h"
+#include "ssr_fb.h"
+#endif
+
+
+/* static function declarations */
+static void quant_to_spec(ic_stream *ics, real_t *spec_data, uint16_t frame_len);
+static uint8_t inverse_quantization(real_t *x_invquant, const int16_t *x_quant, const uint16_t frame_len);
+
#ifdef LD_DEC
-static uint8_t num_swb_512_window[] =
+ALIGN static const uint8_t num_swb_512_window[] =
{
0, 0, 0, 36, 36, 37, 31, 31, 0, 0, 0, 0
};
-static uint8_t num_swb_480_window[] =
+ALIGN static const uint8_t num_swb_480_window[] =
{
0, 0, 0, 35, 35, 37, 30, 30, 0, 0, 0, 0
};
#endif
-static uint8_t num_swb_960_window[] =
+ALIGN static const uint8_t num_swb_960_window[] =
{
40, 40, 45, 49, 49, 49, 46, 46, 42, 42, 42, 40
};
-static uint8_t num_swb_1024_window[] =
+ALIGN static const uint8_t num_swb_1024_window[] =
{
41, 41, 47, 49, 49, 51, 47, 47, 43, 43, 43, 40
};
-static uint8_t num_swb_128_window[] =
+ALIGN static const uint8_t num_swb_128_window[] =
{
12, 12, 12, 14, 14, 14, 15, 15, 15, 15, 15, 15
};
-static uint16_t swb_offset_1024_96[] =
+ALIGN static const uint16_t swb_offset_1024_96[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56,
64, 72, 80, 88, 96, 108, 120, 132, 144, 156, 172, 188, 212, 240,
276, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024
};
-static uint16_t swb_offset_128_96[] =
+ALIGN static const uint16_t swb_offset_128_96[] =
{
0, 4, 8, 12, 16, 20, 24, 32, 40, 48, 64, 92, 128
};
-static uint16_t swb_offset_1024_64[] =
+ALIGN static const uint16_t swb_offset_1024_64[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56,
64, 72, 80, 88, 100, 112, 124, 140, 156, 172, 192, 216, 240, 268,
@@ -86,13 +104,12 @@
864, 904, 944, 984, 1024
};
-static uint16_t swb_offset_128_64[] =
+ALIGN static const uint16_t swb_offset_128_64[] =
{
0, 4, 8, 12, 16, 20, 24, 32, 40, 48, 64, 92, 128
};
-
-static uint16_t swb_offset_1024_48[] =
+ALIGN static const uint16_t swb_offset_1024_48[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 48, 56, 64, 72,
80, 88, 96, 108, 120, 132, 144, 160, 176, 196, 216, 240, 264, 292,
@@ -101,14 +118,14 @@
};
#ifdef LD_DEC
-static uint16_t swb_offset_512_48[] =
+ALIGN static const uint16_t swb_offset_512_48[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 68, 76, 84,
92, 100, 112, 124, 136, 148, 164, 184, 208, 236, 268, 300, 332, 364, 396,
428, 460, 512
};
-static uint16_t swb_offset_480_48[] =
+ALIGN static const uint16_t swb_offset_480_48[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 64, 72 ,80 ,88,
96, 108, 120, 132, 144, 156, 172, 188, 212, 240, 272, 304, 336, 368, 400,
@@ -116,12 +133,12 @@
};
#endif
-static uint16_t swb_offset_128_48[] =
+ALIGN static const uint16_t swb_offset_128_48[] =
{
0, 4, 8, 12, 16, 20, 28, 36, 44, 56, 68, 80, 96, 112, 128
};
-static uint16_t swb_offset_1024_32[] =
+ALIGN static const uint16_t swb_offset_1024_32[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 48, 56, 64, 72,
80, 88, 96, 108, 120, 132, 144, 160, 176, 196, 216, 240, 264, 292,
@@ -130,14 +147,14 @@
};
#ifdef LD_DEC
-static uint16_t swb_offset_512_32[] =
+ALIGN static const uint16_t swb_offset_512_32[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 64, 72, 80,
88, 96, 108, 120, 132, 144, 160, 176, 192, 212, 236, 260, 288, 320, 352,
384, 416, 448, 480, 512
};
-static uint16_t swb_offset_480_32[] =
+ALIGN static const uint16_t swb_offset_480_32[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 72, 80,
88, 96, 104, 112, 124, 136, 148, 164, 180, 200, 224, 256, 288, 320, 352,
@@ -145,7 +162,7 @@
};
#endif
-static uint16_t swb_offset_1024_24[] =
+ALIGN static const uint16_t swb_offset_1024_24[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 52, 60, 68,
76, 84, 92, 100, 108, 116, 124, 136, 148, 160, 172, 188, 204, 220,
@@ -154,50 +171,50 @@
};
#ifdef LD_DEC
-static uint16_t swb_offset_512_24[] =
+ALIGN static const uint16_t swb_offset_512_24[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 52, 60, 68,
80, 92, 104, 120, 140, 164, 192, 224, 256, 288, 320, 352, 384, 416,
448, 480, 512
};
-static uint16_t swb_offset_480_24[] =
+ALIGN static const uint16_t swb_offset_480_24[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 52, 60, 68, 80, 92, 104, 120,
140, 164, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480
};
#endif
-static uint16_t swb_offset_128_24[] =
+ALIGN static const uint16_t swb_offset_128_24[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 36, 44, 52, 64, 76, 92, 108, 128
};
-static uint16_t swb_offset_1024_16[] =
+ALIGN static const uint16_t swb_offset_1024_16[] =
{
0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 100, 112, 124,
136, 148, 160, 172, 184, 196, 212, 228, 244, 260, 280, 300, 320, 344,
368, 396, 424, 456, 492, 532, 572, 616, 664, 716, 772, 832, 896, 960, 1024
};
-static uint16_t swb_offset_128_16[] =
+ALIGN static const uint16_t swb_offset_128_16[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 32, 40, 48, 60, 72, 88, 108, 128
};
-static uint16_t swb_offset_1024_8[] =
+ALIGN static const uint16_t swb_offset_1024_8[] =
{
0, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 172,
188, 204, 220, 236, 252, 268, 288, 308, 328, 348, 372, 396, 420, 448,
476, 508, 544, 580, 620, 664, 712, 764, 820, 880, 944, 1024
};
-static uint16_t swb_offset_128_8[] =
+ALIGN static const uint16_t swb_offset_128_8[] =
{
0, 4, 8, 12, 16, 20, 24, 28, 36, 44, 52, 60, 72, 88, 108, 128
};
-static uint16_t *swb_offset_1024_window[] =
+ALIGN static const uint16_t *swb_offset_1024_window[] =
{
swb_offset_1024_96, /* 96000 */
swb_offset_1024_96, /* 88200 */
@@ -214,7 +231,7 @@
};
#ifdef LD_DEC
-static uint16_t *swb_offset_512_window[] =
+ALIGN static const uint16_t *swb_offset_512_window[] =
{
0, /* 96000 */
0, /* 88200 */
@@ -230,7 +247,7 @@
0 /* 8000 */
};
-static uint16_t *swb_offset_480_window[] =
+ALIGN static const uint16_t *swb_offset_480_window[] =
{
0, /* 96000 */
0, /* 88200 */
@@ -247,7 +264,7 @@
};
#endif
-static uint16_t *swb_offset_128_window[] =
+ALIGN static const uint16_t *swb_offset_128_window[] =
{
swb_offset_128_96, /* 96000 */
swb_offset_128_96, /* 88200 */
@@ -410,14 +427,12 @@
- Within a scalefactor window band, the coefficients are in ascending
spectral order.
*/
-void quant_to_spec(ic_stream *ics, real_t *spec_data, uint16_t frame_len)
+static void quant_to_spec(ic_stream *ics, real_t *spec_data, uint16_t frame_len)
{
uint8_t g, sfb, win;
uint16_t width, bin, k, gindex;
- real_t tmp_spec[1024];
-
- memset(tmp_spec, 0, frame_len*sizeof(real_t));
+ ALIGN real_t tmp_spec[1024] = {0};
k = 0;
gindex = 0;
@@ -452,106 +467,115 @@
memcpy(spec_data, tmp_spec, frame_len*sizeof(real_t));
}
-#ifndef FIXED_POINT
-void build_tables(real_t *pow2_table)
-{
- uint16_t i;
-
- /* build pow(2, 0.25*x) table for scalefactors */
- for(i = 0; i < POW_TABLE_SIZE; i++)
- {
- pow2_table[i] = REAL_CONST(pow(2.0, 0.25 * (i-100)));
- }
-}
-#endif
-
-static INLINE real_t iquant(int16_t q, real_t *tab)
+static INLINE real_t iquant(int16_t q, const real_t *tab, uint8_t *error)
{
#ifdef FIXED_POINT
+ static const real_t errcorr[] = {
+ REAL_CONST(0), REAL_CONST(1.0/8.0), REAL_CONST(2.0/8.0), REAL_CONST(3.0/8.0),
+ REAL_CONST(4.0/8.0), REAL_CONST(5.0/8.0), REAL_CONST(6.0/8.0), REAL_CONST(7.0/8.0),
+ REAL_CONST(0)
+ };
+ real_t x1, x2;
int16_t sgn = 1;
- if (q == 0) return 0;
-
if (q < 0)
{
q = -q;
sgn = -1;
}
- if (q >= IQ_TABLE_SIZE)
- return 0; /* sgn * tab[q>>3] * 16; */
+ if (q < IQ_TABLE_SIZE)
+ return sgn * tab[q];
- return sgn * tab[q];
+ /* linear interpolation */
+ x1 = tab[q>>3];
+ x2 = tab[(q>>3) + 1];
+ return sgn * 16 * (MUL_R(errcorr[q&7],(x2-x1)) + x1);
#else
- int16_t sgn = 1;
-
- if (q == 0) return 0;
-
if (q < 0)
{
- q = -q;
- sgn = -1;
- }
+ /* tab contains a value for all possible q [0,8192] */
+ if (-q < IQ_TABLE_SIZE)
+ return -tab[-q];
- if (q < IQ_TABLE_SIZE)
- return sgn * tab[q];
+ *error = 17;
+ return 0;
+ } else {
+ /* tab contains a value for all possible q [0,8192] */
+ if (q < IQ_TABLE_SIZE)
+ return tab[q];
- return sgn * pow(q, 4./3.);
+ *error = 17;
+ return 0;
+ }
#endif
}
-void inverse_quantization(real_t *x_invquant, int16_t *x_quant, uint16_t frame_len)
+static uint8_t inverse_quantization(real_t *x_invquant, const int16_t *x_quant, const uint16_t frame_len)
{
int16_t i;
- real_t *tab = iq_table;
+ uint8_t error = 0; /* Init error flag */
+ const real_t *tab = iq_table;
- for(i = 0; i < frame_len; i+=4)
+ for (i = 0; i < frame_len; i+=4)
{
- x_invquant[i] = iquant(x_quant[i], tab);
- x_invquant[i+1] = iquant(x_quant[i+1], tab);
- x_invquant[i+2] = iquant(x_quant[i+2], tab);
- x_invquant[i+3] = iquant(x_quant[i+3], tab);
+ x_invquant[i] = iquant(x_quant[i], tab, &error);
+ x_invquant[i+1] = iquant(x_quant[i+1], tab, &error);
+ x_invquant[i+2] = iquant(x_quant[i+2], tab, &error);
+ x_invquant[i+3] = iquant(x_quant[i+3], tab, &error);
}
+
+ return error;
}
#ifndef FIXED_POINT
-static INLINE real_t get_scale_factor_gain(uint16_t scale_factor, real_t *pow2_table)
-{
- if (scale_factor < POW_TABLE_SIZE)
- return pow2_table[scale_factor];
- else
- return REAL_CONST(pow(2.0, 0.25 * (scale_factor - 100)));
-}
-#else
-static real_t pow2_table[] =
+ALIGN static const real_t pow2sf_tab[] = {
+ 2.9802322387695313E-008, 5.9604644775390625E-008, 1.1920928955078125E-007,
+ 2.384185791015625E-007, 4.76837158203125E-007, 9.5367431640625E-007,
+ 1.9073486328125E-006, 3.814697265625E-006, 7.62939453125E-006,
+ 1.52587890625E-005, 3.0517578125E-005, 6.103515625E-005,
+ 0.0001220703125, 0.000244140625, 0.00048828125,
+ 0.0009765625, 0.001953125, 0.00390625,
+ 0.0078125, 0.015625, 0.03125,
+ 0.0625, 0.125, 0.25,
+ 0.5, 1.0, 2.0,
+ 4.0, 8.0, 16.0, 32.0,
+ 64.0, 128.0, 256.0,
+ 512.0, 1024.0, 2048.0,
+ 4096.0, 8192.0, 16384.0,
+ 32768.0, 65536.0, 131072.0,
+ 262144.0, 524288.0, 1048576.0,
+ 2097152.0, 4194304.0, 8388608.0,
+ 16777216.0, 33554432.0, 67108864.0,
+ 134217728.0, 268435456.0, 536870912.0,
+ 1073741824.0, 2147483648.0, 4294967296.0,
+ 8589934592.0, 17179869184.0, 34359738368.0,
+ 68719476736.0, 137438953472.0, 274877906944.0
+};
+#endif
+
+ALIGN static real_t pow2_table[] =
{
- COEF_CONST(0.59460355750136),
- COEF_CONST(0.70710678118655),
- COEF_CONST(0.84089641525371),
+#if 0
+ COEF_CONST(0.59460355750136053335874998528024), /* 2^-0.75 */
+ COEF_CONST(0.70710678118654752440084436210485), /* 2^-0.5 */
+ COEF_CONST(0.84089641525371454303112547623321), /* 2^-0.25 */
+#endif
COEF_CONST(1.0),
- COEF_CONST(1.18920711500272),
- COEF_CONST(1.41421356237310),
- COEF_CONST(1.68179283050743)
+ COEF_CONST(1.1892071150027210667174999705605), /* 2^0.25 */
+ COEF_CONST(1.4142135623730950488016887242097), /* 2^0.5 */
+ COEF_CONST(1.6817928305074290860622509524664) /* 2^0.75 */
};
-#endif
-void apply_scalefactors(faacDecHandle hDecoder, ic_stream *ics, real_t *x_invquant,
- uint16_t frame_len)
+void apply_scalefactors(faacDecHandle hDecoder, ic_stream *ics,
+ real_t *x_invquant, uint16_t frame_len)
{
uint8_t g, sfb;
uint16_t top;
-#ifndef FIXED_POINT
- real_t scale;
-#else
int32_t exp, frac;
-#endif
uint8_t groups = 0;
uint16_t nshort = frame_len/8;
- static real_t max_fp = 0;
- static real_t max_exp = 0;
- static real_t max_frac = 0;
-
for (g = 0; g < ics->num_window_groups; g++)
{
uint16_t k = 0;
@@ -564,12 +588,20 @@
{
top = ics->sect_sfb_offset[g][sfb+1];
-#ifndef FIXED_POINT
- scale = get_scale_factor_gain(ics->scale_factors[g][sfb], hDecoder->pow2_table);
-#else
- exp = (ics->scale_factors[g][sfb] - 100) / 4;
- frac = (ics->scale_factors[g][sfb] - 100) % 4;
+ /* this could be scalefactor for IS or PNS, those can be negative or bigger then 255 */
+ /* just ignore them */
+ if (ics->scale_factors[g][sfb] < 0 || ics->scale_factors[g][sfb] > 255)
+ {
+ exp = 0;
+ frac = 0;
+ } else {
+ /* ics->scale_factors[g][sfb] must be between 0 and 255 */
+ exp = (ics->scale_factors[g][sfb] /* - 100 */) >> 2;
+ frac = (ics->scale_factors[g][sfb] /* - 100 */) & 3;
+ }
+#ifdef FIXED_POINT
+ exp -= 25;
/* IMDCT pre-scaling */
if (hDecoder->object_type == LD)
{
@@ -585,12 +617,7 @@
/* minimum size of a sf band is 4 and always a multiple of 4 */
for ( ; k < top; k += 4)
{
-#ifndef FIXED_POINT
- x_invquant[k+(groups*nshort)] = x_invquant[k+(groups*nshort)] * scale;
- x_invquant[k+(groups*nshort)+1] = x_invquant[k+(groups*nshort)+1] * scale;
- x_invquant[k+(groups*nshort)+2] = x_invquant[k+(groups*nshort)+2] * scale;
- x_invquant[k+(groups*nshort)+3] = x_invquant[k+(groups*nshort)+3] * scale;
-#else
+#ifdef FIXED_POINT
if (exp < 0)
{
x_invquant[k+(groups*nshort)] >>= -exp;
@@ -603,17 +630,653 @@
x_invquant[k+(groups*nshort)+2] <<= exp;
x_invquant[k+(groups*nshort)+3] <<= exp;
}
-
- if (frac)
- {
- x_invquant[k+(groups*nshort)] = MUL_R_C(x_invquant[k+(groups*nshort)],pow2_table[frac + 3]);
- x_invquant[k+(groups*nshort)+1] = MUL_R_C(x_invquant[k+(groups*nshort)+1],pow2_table[frac + 3]);
- x_invquant[k+(groups*nshort)+2] = MUL_R_C(x_invquant[k+(groups*nshort)+2],pow2_table[frac + 3]);
- x_invquant[k+(groups*nshort)+3] = MUL_R_C(x_invquant[k+(groups*nshort)+3],pow2_table[frac + 3]);
- }
+#else
+ x_invquant[k+(groups*nshort)] = x_invquant[k+(groups*nshort)] * pow2sf_tab[exp/*+25*/];
+ x_invquant[k+(groups*nshort)+1] = x_invquant[k+(groups*nshort)+1] * pow2sf_tab[exp/*+25*/];
+ x_invquant[k+(groups*nshort)+2] = x_invquant[k+(groups*nshort)+2] * pow2sf_tab[exp/*+25*/];
+ x_invquant[k+(groups*nshort)+3] = x_invquant[k+(groups*nshort)+3] * pow2sf_tab[exp/*+25*/];
#endif
+
+ x_invquant[k+(groups*nshort)] = MUL_C(x_invquant[k+(groups*nshort)],pow2_table[frac /* + 3*/]);
+ x_invquant[k+(groups*nshort)+1] = MUL_C(x_invquant[k+(groups*nshort)+1],pow2_table[frac /* + 3*/]);
+ x_invquant[k+(groups*nshort)+2] = MUL_C(x_invquant[k+(groups*nshort)+2],pow2_table[frac /* + 3*/]);
+ x_invquant[k+(groups*nshort)+3] = MUL_C(x_invquant[k+(groups*nshort)+3],pow2_table[frac /* + 3*/]);
+ }
+ }
+ groups += ics->window_group_length[g];
+ }
+}
+
+#ifdef USE_SSE
+void apply_scalefactors_sse(faacDecHandle hDecoder, ic_stream *ics,
+ real_t *x_invquant, uint16_t frame_len)
+{
+ uint8_t g, sfb;
+ uint16_t top;
+ int32_t exp, frac;
+ uint8_t groups = 0;
+ uint16_t nshort = frame_len/8;
+
+ for (g = 0; g < ics->num_window_groups; g++)
+ {
+ uint16_t k = 0;
+
+ /* using this nshort*groups doesn't hurt long blocks, because
+ long blocks only have 1 group, so that means 'groups' is
+ always 0 for long blocks
+ */
+ for (sfb = 0; sfb < ics->max_sfb; sfb++)
+ {
+ top = ics->sect_sfb_offset[g][sfb+1];
+
+ exp = (ics->scale_factors[g][sfb] /* - 100 */) >> 2;
+ frac = (ics->scale_factors[g][sfb] /* - 100 */) & 3;
+
+ /* minimum size of a sf band is 4 and always a multiple of 4 */
+ for ( ; k < top; k += 4)
+ {
+ __m128 m1 = _mm_load_ps(&x_invquant[k+(groups*nshort)]);
+ __m128 m2 = _mm_load_ps1(&pow2sf_tab[exp /*+25*/]);
+ __m128 m3 = _mm_load_ps1(&pow2_table[frac /* + 3*/]);
+ __m128 m4 = _mm_mul_ps(m1, m2);
+ __m128 m5 = _mm_mul_ps(m3, m4);
+ _mm_store_ps(&x_invquant[k+(groups*nshort)], m5);
}
}
groups += ics->window_group_length[g];
}
}
+#endif
+
+static uint8_t allocate_single_channel(faacDecHandle hDecoder, uint8_t channel,
+ uint8_t output_channels)
+{
+ uint8_t mul = 1;
+
+#ifdef MAIN_DEC
+ /* MAIN object type prediction */
+ if (hDecoder->object_type == MAIN)
+ {
+ /* allocate the state only when needed */
+ if (hDecoder->pred_stat[channel] == NULL)
+ {
+ hDecoder->pred_stat[channel] = (pred_state*)faad_malloc(hDecoder->frameLength * sizeof(pred_state));
+ reset_all_predictors(hDecoder->pred_stat[channel], hDecoder->frameLength);
+ }
+ }
+#endif
+
+#ifdef LTP_DEC
+ if (is_ltp_ot(hDecoder->object_type))
+ {
+ /* allocate the state only when needed */
+ if (hDecoder->lt_pred_stat[channel] == NULL)
+ {
+ hDecoder->lt_pred_stat[channel] = (int16_t*)faad_malloc(hDecoder->frameLength*4 * sizeof(int16_t));
+ memset(hDecoder->lt_pred_stat[channel], 0, hDecoder->frameLength*4 * sizeof(int16_t));
+ }
+ }
+#endif
+
+ if (hDecoder->time_out[channel] == NULL)
+ {
+ mul = 1;
+#ifdef SBR_DEC
+ hDecoder->sbr_alloced[hDecoder->fr_ch_ele] = 0;
+ if ((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
+ {
+ /* SBR requires 2 times as much output data */
+ mul = 2;
+ hDecoder->sbr_alloced[hDecoder->fr_ch_ele] = 1;
+ }
+#endif
+ hDecoder->time_out[channel] = (real_t*)faad_malloc(mul*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->time_out[channel], 0, mul*hDecoder->frameLength*sizeof(real_t));
+ }
+#if (defined(PS_DEC) || defined(DRM_PS))
+ if (output_channels == 2)
+ {
+ if (hDecoder->time_out[channel+1] == NULL)
+ {
+ hDecoder->time_out[channel+1] = (real_t*)faad_malloc(mul*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->time_out[channel+1], 0, mul*hDecoder->frameLength*sizeof(real_t));
+ }
+ }
+#endif
+
+ if (hDecoder->fb_intermed[channel] == NULL)
+ {
+ hDecoder->fb_intermed[channel] = (real_t*)faad_malloc(hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->fb_intermed[channel], 0, hDecoder->frameLength*sizeof(real_t));
+ }
+
+#ifdef SSR_DEC
+ if (hDecoder->object_type == SSR)
+ {
+ if (hDecoder->ssr_overlap[channel] == NULL)
+ {
+ hDecoder->ssr_overlap[channel] = (real_t*)faad_malloc(2*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->ssr_overlap[channel], 0, 2*hDecoder->frameLength*sizeof(real_t));
+ }
+ if (hDecoder->prev_fmd[channel] == NULL)
+ {
+ uint16_t k;
+ hDecoder->prev_fmd[channel] = (real_t*)faad_malloc(2*hDecoder->frameLength*sizeof(real_t));
+ for (k = 0; k < 2*hDecoder->frameLength; k++)
+ hDecoder->prev_fmd[channel][k] = REAL_CONST(-1);
+ }
+ }
+#endif
+
+ return 0;
+}
+
+static uint8_t allocate_channel_pair(faacDecHandle hDecoder,
+ uint8_t channel, uint8_t paired_channel)
+{
+ uint8_t mul = 1;
+
+#ifdef MAIN_DEC
+ /* MAIN object type prediction */
+ if (hDecoder->object_type == MAIN)
+ {
+ /* allocate the state only when needed */
+ if (hDecoder->pred_stat[channel] == NULL)
+ {
+ hDecoder->pred_stat[channel] = (pred_state*)faad_malloc(hDecoder->frameLength * sizeof(pred_state));
+ reset_all_predictors(hDecoder->pred_stat[channel], hDecoder->frameLength);
+ }
+ if (hDecoder->pred_stat[paired_channel] == NULL)
+ {
+ hDecoder->pred_stat[paired_channel] = (pred_state*)faad_malloc(hDecoder->frameLength * sizeof(pred_state));
+ reset_all_predictors(hDecoder->pred_stat[paired_channel], hDecoder->frameLength);
+ }
+ }
+#endif
+
+#ifdef LTP_DEC
+ if (is_ltp_ot(hDecoder->object_type))
+ {
+ /* allocate the state only when needed */
+ if (hDecoder->lt_pred_stat[channel] == NULL)
+ {
+ hDecoder->lt_pred_stat[channel] = (int16_t*)faad_malloc(hDecoder->frameLength*4 * sizeof(int16_t));
+ memset(hDecoder->lt_pred_stat[channel], 0, hDecoder->frameLength*4 * sizeof(int16_t));
+ }
+ if (hDecoder->lt_pred_stat[paired_channel] == NULL)
+ {
+ hDecoder->lt_pred_stat[paired_channel] = (int16_t*)faad_malloc(hDecoder->frameLength*4 * sizeof(int16_t));
+ memset(hDecoder->lt_pred_stat[paired_channel], 0, hDecoder->frameLength*4 * sizeof(int16_t));
+ }
+ }
+#endif
+
+ if (hDecoder->time_out[channel] == NULL)
+ {
+ mul = 1;
+#ifdef SBR_DEC
+ hDecoder->sbr_alloced[hDecoder->fr_ch_ele] = 0;
+ if ((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
+ {
+ /* SBR requires 2 times as much output data */
+ mul = 2;
+ hDecoder->sbr_alloced[hDecoder->fr_ch_ele] = 1;
+ }
+#endif
+ hDecoder->time_out[channel] = (real_t*)faad_malloc(mul*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->time_out[channel], 0, mul*hDecoder->frameLength*sizeof(real_t));
+ }
+ if (hDecoder->time_out[paired_channel] == NULL)
+ {
+ hDecoder->time_out[paired_channel] = (real_t*)faad_malloc(mul*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->time_out[paired_channel], 0, mul*hDecoder->frameLength*sizeof(real_t));
+ }
+
+ if (hDecoder->fb_intermed[channel] == NULL)
+ {
+ hDecoder->fb_intermed[channel] = (real_t*)faad_malloc(hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->fb_intermed[channel], 0, hDecoder->frameLength*sizeof(real_t));
+ }
+ if (hDecoder->fb_intermed[paired_channel] == NULL)
+ {
+ hDecoder->fb_intermed[paired_channel] = (real_t*)faad_malloc(hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->fb_intermed[paired_channel], 0, hDecoder->frameLength*sizeof(real_t));
+ }
+
+#ifdef SSR_DEC
+ if (hDecoder->object_type == SSR)
+ {
+ if (hDecoder->ssr_overlap[cpe->channel] == NULL)
+ {
+ hDecoder->ssr_overlap[cpe->channel] = (real_t*)faad_malloc(2*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->ssr_overlap[cpe->channel], 0, 2*hDecoder->frameLength*sizeof(real_t));
+ }
+ if (hDecoder->ssr_overlap[cpe->paired_channel] == NULL)
+ {
+ hDecoder->ssr_overlap[cpe->paired_channel] = (real_t*)faad_malloc(2*hDecoder->frameLength*sizeof(real_t));
+ memset(hDecoder->ssr_overlap[cpe->paired_channel], 0, 2*hDecoder->frameLength*sizeof(real_t));
+ }
+ if (hDecoder->prev_fmd[cpe->channel] == NULL)
+ {
+ uint16_t k;
+ hDecoder->prev_fmd[cpe->channel] = (real_t*)faad_malloc(2*hDecoder->frameLength*sizeof(real_t));
+ for (k = 0; k < 2*hDecoder->frameLength; k++)
+ hDecoder->prev_fmd[cpe->channel][k] = REAL_CONST(-1);
+ }
+ if (hDecoder->prev_fmd[cpe->paired_channel] == NULL)
+ {
+ uint16_t k;
+ hDecoder->prev_fmd[cpe->paired_channel] = (real_t*)faad_malloc(2*hDecoder->frameLength*sizeof(real_t));
+ for (k = 0; k < 2*hDecoder->frameLength; k++)
+ hDecoder->prev_fmd[cpe->paired_channel][k] = REAL_CONST(-1);
+ }
+ }
+#endif
+
+ return 0;
+}
+
+uint8_t reconstruct_single_channel(faacDecHandle hDecoder, ic_stream *ics,
+ element *sce, int16_t *spec_data)
+{
+ uint8_t retval, output_channels;
+ ALIGN real_t spec_coef[1024];
+
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
+
+
+ /* determine whether some mono->stereo tool is used */
+#if (defined(PS_DEC) || defined(DRM_PS))
+ output_channels = hDecoder->ps_used[hDecoder->fr_ch_ele] ? 2 : 1;
+#else
+ output_channels = 1;
+#endif
+ if (hDecoder->element_output_channels[hDecoder->fr_ch_ele] == 0)
+ {
+ /* element_output_channels not set yet */
+ hDecoder->element_output_channels[hDecoder->fr_ch_ele] = output_channels;
+ } else if (hDecoder->element_output_channels[hDecoder->fr_ch_ele] != output_channels) {
+ /* element inconsistency */
+ return 21;
+ }
+
+
+ if (hDecoder->element_alloced[hDecoder->fr_ch_ele] == 0)
+ {
+ retval = allocate_single_channel(hDecoder, sce->channel, output_channels);
+ if (retval > 0)
+ return retval;
+
+ hDecoder->element_alloced[hDecoder->fr_ch_ele] = 1;
+ }
+
+
+ /* inverse quantization */
+ retval = inverse_quantization(spec_coef, spec_data, hDecoder->frameLength);
+ if (retval > 0)
+ return retval;
+
+ /* apply scalefactors */
+#ifndef USE_SSE
+ apply_scalefactors(hDecoder, ics, spec_coef, hDecoder->frameLength);
+#else
+ hDecoder->apply_sf_func(hDecoder, ics, spec_coef, hDecoder->frameLength);
+#endif
+
+ /* deinterleave short block grouping */
+ if (ics->window_sequence == EIGHT_SHORT_SEQUENCE)
+ quant_to_spec(ics, spec_coef, hDecoder->frameLength);
+
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ hDecoder->requant_cycles += count;
+#endif
+
+
+ /* pns decoding */
+ pns_decode(ics, NULL, spec_coef, NULL, hDecoder->frameLength, 0, hDecoder->object_type);
+
+#ifdef MAIN_DEC
+ /* MAIN object type prediction */
+ if (hDecoder->object_type == MAIN)
+ {
+ /* intra channel prediction */
+ ic_prediction(ics, spec_coef, hDecoder->pred_stat[sce->channel], hDecoder->frameLength,
+ hDecoder->sf_index);
+
+ /* In addition, for scalefactor bands coded by perceptual
+ noise substitution the predictors belonging to the
+ corresponding spectral coefficients are reset.
+ */
+ pns_reset_pred_state(ics, hDecoder->pred_stat[sce->channel]);
+ }
+#endif
+
+#ifdef LTP_DEC
+ if (is_ltp_ot(hDecoder->object_type))
+ {
+#ifdef LD_DEC
+ if (hDecoder->object_type == LD)
+ {
+ if (ics->ltp.data_present)
+ {
+ if (ics->ltp.lag_update)
+ hDecoder->ltp_lag[sce->channel] = ics->ltp.lag;
+ }
+ ics->ltp.lag = hDecoder->ltp_lag[sce->channel];
+ }
+#endif
+
+ /* long term prediction */
+ lt_prediction(ics, &(ics->ltp), spec_coef, hDecoder->lt_pred_stat[sce->channel], hDecoder->fb,
+ ics->window_shape, hDecoder->window_shape_prev[sce->channel],
+ hDecoder->sf_index, hDecoder->object_type, hDecoder->frameLength);
+ }
+#endif
+
+ /* tns decoding */
+ tns_decode_frame(ics, &(ics->tns), hDecoder->sf_index, hDecoder->object_type,
+ spec_coef, hDecoder->frameLength);
+
+ /* drc decoding */
+ if (hDecoder->drc->present)
+ {
+ if (!hDecoder->drc->exclude_mask[sce->channel] || !hDecoder->drc->excluded_chns_present)
+ drc_decode(hDecoder->drc, spec_coef);
+ }
+
+
+ /* filter bank */
+#ifdef SSR_DEC
+ if (hDecoder->object_type != SSR)
+ {
+#endif
+#ifdef USE_SSE
+ hDecoder->fb->if_func(hDecoder->fb, ics->window_sequence, ics->window_shape,
+ hDecoder->window_shape_prev[sce->channel], spec_coef,
+ hDecoder->time_out[sce->channel], hDecoder->object_type, hDecoder->frameLength);
+#else
+ ifilter_bank(hDecoder->fb, ics->window_sequence, ics->window_shape,
+ hDecoder->window_shape_prev[sce->channel], spec_coef,
+ hDecoder->time_out[sce->channel], hDecoder->fb_intermed[sce->channel],
+ hDecoder->object_type, hDecoder->frameLength);
+#endif
+#ifdef SSR_DEC
+ } else {
+ ssr_decode(&(ics->ssr), hDecoder->fb, ics->window_sequence, ics->window_shape,
+ hDecoder->window_shape_prev[sce->channel], spec_coef, hDecoder->time_out[sce->channel],
+ hDecoder->ssr_overlap[sce->channel], hDecoder->ipqf_buffer[sce->channel], hDecoder->prev_fmd[sce->channel],
+ hDecoder->frameLength);
+ }
+#endif
+
+ /* save window shape for next frame */
+ hDecoder->window_shape_prev[sce->channel] = ics->window_shape;
+
+#ifdef LTP_DEC
+ if (is_ltp_ot(hDecoder->object_type))
+ {
+ lt_update_state(hDecoder->lt_pred_stat[sce->channel], hDecoder->time_out[sce->channel],
+ hDecoder->fb_intermed[sce->channel], hDecoder->frameLength, hDecoder->object_type);
+ }
+#endif
+
+#ifdef SBR_DEC
+ if (((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
+ && hDecoder->sbr_alloced[hDecoder->fr_ch_ele])
+ {
+ uint8_t ele = hDecoder->fr_ch_ele;
+ uint8_t ch = sce->channel;
+
+ /* following case can happen when forceUpSampling == 1 */
+ if (hDecoder->sbr[ele] == NULL)
+ {
+ hDecoder->sbr[ele] = sbrDecodeInit(hDecoder->frameLength,
+ sce->ele_id, 2*get_sample_rate(hDecoder->sf_index)
+#ifdef DRM
+ , 0
+#endif
+ );
+ }
+
+ /* check if any of the PS tools is used */
+#if (defined(PS_DEC) || defined(DRM_PS))
+ if (output_channels == 1)
+ {
+#endif
+ retval = sbrDecodeSingleFrame(hDecoder->sbr[ele], hDecoder->time_out[ch],
+ hDecoder->postSeekResetFlag, hDecoder->forceUpSampling);
+#if (defined(PS_DEC) || defined(DRM_PS))
+ } else {
+ retval = sbrDecodeSingleFramePS(hDecoder->sbr[ele], hDecoder->time_out[ch],
+ hDecoder->time_out[ch+1], hDecoder->postSeekResetFlag,
+ hDecoder->forceUpSampling);
+ }
+#endif
+ if (retval > 0)
+ return retval;
+ } else if (((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
+ && !hDecoder->sbr_alloced[hDecoder->fr_ch_ele])
+ {
+ return 23;
+ }
+#endif
+
+ return 0;
+}
+
+uint8_t reconstruct_channel_pair(faacDecHandle hDecoder, ic_stream *ics1, ic_stream *ics2,
+ element *cpe, int16_t *spec_data1, int16_t *spec_data2)
+{
+ uint8_t retval;
+ ALIGN real_t spec_coef1[1024];
+ ALIGN real_t spec_coef2[1024];
+
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
+ if (hDecoder->element_alloced[hDecoder->fr_ch_ele] == 0)
+ {
+ retval = allocate_channel_pair(hDecoder, cpe->channel, cpe->paired_channel);
+ if (retval > 0)
+ return retval;
+
+ hDecoder->element_alloced[hDecoder->fr_ch_ele] = 1;
+ }
+
+ /* inverse quantization */
+ retval = inverse_quantization(spec_coef1, spec_data1, hDecoder->frameLength);
+ if (retval > 0)
+ return retval;
+
+ retval = inverse_quantization(spec_coef2, spec_data2, hDecoder->frameLength);
+ if (retval > 0)
+ return retval;
+
+ /* apply scalefactors */
+#ifndef USE_SSE
+ apply_scalefactors(hDecoder, ics1, spec_coef1, hDecoder->frameLength);
+ apply_scalefactors(hDecoder, ics2, spec_coef2, hDecoder->frameLength);
+#else
+ hDecoder->apply_sf_func(hDecoder, ics1, spec_coef1, hDecoder->frameLength);
+ hDecoder->apply_sf_func(hDecoder, ics2, spec_coef2, hDecoder->frameLength);
+#endif
+
+ /* deinterleave short block grouping */
+ if (ics1->window_sequence == EIGHT_SHORT_SEQUENCE)
+ quant_to_spec(ics1, spec_coef1, hDecoder->frameLength);
+ if (ics2->window_sequence == EIGHT_SHORT_SEQUENCE)
+ quant_to_spec(ics2, spec_coef2, hDecoder->frameLength);
+
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ hDecoder->requant_cycles += count;
+#endif
+
+
+ /* pns decoding */
+ if (ics1->ms_mask_present)
+ {
+ pns_decode(ics1, ics2, spec_coef1, spec_coef2, hDecoder->frameLength, 1, hDecoder->object_type);
+ } else {
+ pns_decode(ics1, NULL, spec_coef1, NULL, hDecoder->frameLength, 0, hDecoder->object_type);
+ pns_decode(ics2, NULL, spec_coef2, NULL, hDecoder->frameLength, 0, hDecoder->object_type);
+ }
+
+ /* mid/side decoding */
+ ms_decode(ics1, ics2, spec_coef1, spec_coef2, hDecoder->frameLength);
+
+ /* intensity stereo decoding */
+ is_decode(ics1, ics2, spec_coef1, spec_coef2, hDecoder->frameLength);
+
+#ifdef MAIN_DEC
+ /* MAIN object type prediction */
+ if (hDecoder->object_type == MAIN)
+ {
+ /* intra channel prediction */
+ ic_prediction(ics1, spec_coef1, hDecoder->pred_stat[cpe->channel], hDecoder->frameLength,
+ hDecoder->sf_index);
+ ic_prediction(ics2, spec_coef2, hDecoder->pred_stat[cpe->paired_channel], hDecoder->frameLength,
+ hDecoder->sf_index);
+
+ /* In addition, for scalefactor bands coded by perceptual
+ noise substitution the predictors belonging to the
+ corresponding spectral coefficients are reset.
+ */
+ pns_reset_pred_state(ics1, hDecoder->pred_stat[cpe->channel]);
+ pns_reset_pred_state(ics2, hDecoder->pred_stat[cpe->paired_channel]);
+ }
+#endif
+
+#ifdef LTP_DEC
+ if (is_ltp_ot(hDecoder->object_type))
+ {
+ ltp_info *ltp1 = &(ics1->ltp);
+ ltp_info *ltp2 = (cpe->common_window) ? &(ics2->ltp2) : &(ics2->ltp);
+#ifdef LD_DEC
+ if (hDecoder->object_type == LD)
+ {
+ if (ltp1->data_present)
+ {
+ if (ltp1->lag_update)
+ hDecoder->ltp_lag[cpe->channel] = ltp1->lag;
+ }
+ ltp1->lag = hDecoder->ltp_lag[cpe->channel];
+ if (ltp2->data_present)
+ {
+ if (ltp2->lag_update)
+ hDecoder->ltp_lag[cpe->paired_channel] = ltp2->lag;
+ }
+ ltp2->lag = hDecoder->ltp_lag[cpe->paired_channel];
+ }
+#endif
+
+ /* long term prediction */
+ lt_prediction(ics1, ltp1, spec_coef1, hDecoder->lt_pred_stat[cpe->channel], hDecoder->fb,
+ ics1->window_shape, hDecoder->window_shape_prev[cpe->channel],
+ hDecoder->sf_index, hDecoder->object_type, hDecoder->frameLength);
+ lt_prediction(ics2, ltp2, spec_coef2, hDecoder->lt_pred_stat[cpe->paired_channel], hDecoder->fb,
+ ics2->window_shape, hDecoder->window_shape_prev[cpe->paired_channel],
+ hDecoder->sf_index, hDecoder->object_type, hDecoder->frameLength);
+ }
+#endif
+
+ /* tns decoding */
+ tns_decode_frame(ics1, &(ics1->tns), hDecoder->sf_index, hDecoder->object_type,
+ spec_coef1, hDecoder->frameLength);
+ tns_decode_frame(ics2, &(ics2->tns), hDecoder->sf_index, hDecoder->object_type,
+ spec_coef2, hDecoder->frameLength);
+
+ /* drc decoding */
+ if (hDecoder->drc->present)
+ {
+ if (!hDecoder->drc->exclude_mask[cpe->channel] || !hDecoder->drc->excluded_chns_present)
+ drc_decode(hDecoder->drc, spec_coef1);
+ if (!hDecoder->drc->exclude_mask[cpe->paired_channel] || !hDecoder->drc->excluded_chns_present)
+ drc_decode(hDecoder->drc, spec_coef2);
+ }
+
+ /* filter bank */
+#ifdef SSR_DEC
+ if (hDecoder->object_type != SSR)
+ {
+#endif
+#ifdef USE_SSE
+ hDecoder->fb->if_func(hDecoder->fb, ics1->window_sequence, ics1->window_shape,
+ hDecoder->window_shape_prev[cpe->channel], spec_coef1,
+ hDecoder->time_out[cpe->channel], hDecoder->object_type, hDecoder->frameLength);
+ hDecoder->fb->if_func(hDecoder->fb, ics2->window_sequence, ics2->window_shape,
+ hDecoder->window_shape_prev[cpe->paired_channel], spec_coef2,
+ hDecoder->time_out[cpe->paired_channel], hDecoder->object_type, hDecoder->frameLength);
+#else
+ ifilter_bank(hDecoder->fb, ics1->window_sequence, ics1->window_shape,
+ hDecoder->window_shape_prev[cpe->channel], spec_coef1,
+ hDecoder->time_out[cpe->channel], hDecoder->fb_intermed[cpe->channel],
+ hDecoder->object_type, hDecoder->frameLength);
+ ifilter_bank(hDecoder->fb, ics2->window_sequence, ics2->window_shape,
+ hDecoder->window_shape_prev[cpe->paired_channel], spec_coef2,
+ hDecoder->time_out[cpe->paired_channel], hDecoder->fb_intermed[cpe->paired_channel],
+ hDecoder->object_type, hDecoder->frameLength);
+#endif
+#ifdef SSR_DEC
+ } else {
+ ssr_decode(&(ics1->ssr), hDecoder->fb, ics1->window_sequence, ics1->window_shape,
+ hDecoder->window_shape_prev[cpe->channel], spec_coef1, hDecoder->time_out[cpe->channel],
+ hDecoder->ssr_overlap[cpe->channel], hDecoder->ipqf_buffer[cpe->channel],
+ hDecoder->prev_fmd[cpe->channel], hDecoder->frameLength);
+ ssr_decode(&(ics2->ssr), hDecoder->fb, ics2->window_sequence, ics2->window_shape,
+ hDecoder->window_shape_prev[cpe->paired_channel], spec_coef2, hDecoder->time_out[cpe->paired_channel],
+ hDecoder->ssr_overlap[cpe->paired_channel], hDecoder->ipqf_buffer[cpe->paired_channel],
+ hDecoder->prev_fmd[cpe->paired_channel], hDecoder->frameLength);
+ }
+#endif
+
+ /* save window shape for next frame */
+ hDecoder->window_shape_prev[cpe->channel] = ics1->window_shape;
+ hDecoder->window_shape_prev[cpe->paired_channel] = ics2->window_shape;
+
+#ifdef LTP_DEC
+ if (is_ltp_ot(hDecoder->object_type))
+ {
+ lt_update_state(hDecoder->lt_pred_stat[cpe->channel], hDecoder->time_out[cpe->channel],
+ hDecoder->fb_intermed[cpe->channel], hDecoder->frameLength, hDecoder->object_type);
+ lt_update_state(hDecoder->lt_pred_stat[cpe->paired_channel], hDecoder->time_out[cpe->paired_channel],
+ hDecoder->fb_intermed[cpe->paired_channel], hDecoder->frameLength, hDecoder->object_type);
+ }
+#endif
+
+#ifdef SBR_DEC
+ if (((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
+ && hDecoder->sbr_alloced[hDecoder->fr_ch_ele])
+ {
+ uint8_t ele = hDecoder->fr_ch_ele;
+ uint8_t ch0 = cpe->channel;
+ uint8_t ch1 = cpe->paired_channel;
+
+ /* following case can happen when forceUpSampling == 1 */
+ if (hDecoder->sbr[ele] == NULL)
+ {
+ hDecoder->sbr[ele] = sbrDecodeInit(hDecoder->frameLength,
+ cpe->ele_id, 2*get_sample_rate(hDecoder->sf_index)
+#ifdef DRM
+ , 0
+#endif
+ );
+ }
+
+ retval = sbrDecodeCoupleFrame(hDecoder->sbr[ele],
+ hDecoder->time_out[ch0], hDecoder->time_out[ch1],
+ hDecoder->postSeekResetFlag, hDecoder->forceUpSampling);
+ if (retval > 0)
+ return retval;
+ } else if (((hDecoder->sbr_present_flag == 1) || (hDecoder->forceUpSampling == 1))
+ && !hDecoder->sbr_alloced[hDecoder->fr_ch_ele])
+ {
+ return 23;
+ }
+#endif
+
+ return 0;
+}
Index: specrec.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/specrec.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- specrec.h 3 Oct 2003 22:22:27 -0000 1.2
+++ specrec.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -35,13 +35,16 @@
#include "syntax.h"
uint8_t window_grouping_info(faacDecHandle hDecoder, ic_stream *ics);
-void quant_to_spec(ic_stream *ics, real_t *spec_data, uint16_t frame_len);
-void inverse_quantization(real_t *x_invquant, int16_t *x_quant, uint16_t frame_len);
void apply_scalefactors(faacDecHandle hDecoder, ic_stream *ics, real_t *x_invquant,
uint16_t frame_len);
-#ifndef FIXED_POINT
-void build_tables(real_t *pow2_table);
+#ifdef USE_SSE
+void apply_scalefactors_sse(faacDecHandle hDecoder, ic_stream *ics, real_t *x_invquant,
+ uint16_t frame_len);
#endif
+uint8_t reconstruct_channel_pair(faacDecHandle hDecoder, ic_stream *ics1, ic_stream *ics2,
+ element *cpe, int16_t *spec_data1, int16_t *spec_data2);
+uint8_t reconstruct_single_channel(faacDecHandle hDecoder, ic_stream *ics, element *sce,
+ int16_t *spec_data);
#ifdef __cplusplus
}
Index: ssr.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr.c 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -43,11 +43,8 @@
{
uint8_t band;
uint16_t ssr_frame_len = frame_len/SSR_BANDS;
- real_t time_tmp[2048];
- real_t output[1024];
-
- memset(output, 0, 1024*sizeof(real_t));
- memset(time_tmp, 0, 2048*sizeof(real_t));
+ real_t time_tmp[2048] = {0};
+ real_t output[1024] = {0};
for (band = 0; band < SSR_BANDS; band++)
{
@@ -90,7 +87,7 @@
if (window_sequence != EIGHT_SHORT_SEQUENCE)
{
ssr_gc_function(ssr, &prev_fmd[band * frame_len*2],
- gc_function, window_sequence, frame_len);
+ gc_function, window_sequence, band, frame_len);
for (i = 0; i < frame_len*2; i++)
data[band * frame_len*2 + i] *= gc_function[i];
@@ -136,7 +133,7 @@
static void ssr_gc_function(ssr_info *ssr, real_t *prev_fmd,
real_t *gc_function, uint8_t window_sequence,
- uint16_t frame_len)
+ uint8_t band, uint16_t frame_len)
{
uint16_t i;
uint16_t len_area1, len_area2;
Index: ssr.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr.h 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: ssr_fb.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr_fb.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr_fb.c 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr_fb.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -42,7 +42,7 @@
{
uint16_t nshort = frame_len/8;
- fb_info *fb = (fb_info*)malloc(sizeof(fb_info));
+ fb_info *fb = (fb_info*)faad_malloc(sizeof(fb_info));
memset(fb, 0, sizeof(fb_info));
/* normal */
@@ -62,7 +62,7 @@
faad_mdct_end(fb->mdct256);
faad_mdct_end(fb->mdct2048);
- if (fb) free(fb);
+ if (fb) faad_free(fb);
}
static INLINE void imdct_ssr(fb_info *fb, real_t *in_data,
@@ -102,7 +102,7 @@
uint16_t nflat_ls = (nlong-nshort)/2;
- transf_buf = (real_t*)malloc(2*nlong*sizeof(real_t));
+ transf_buf = (real_t*)faad_malloc(2*nlong*sizeof(real_t));
window_long = fb->long_window[window_shape];
window_long_prev = fb->long_window[window_shape_prev];
@@ -175,7 +175,7 @@
break;
}
- free(transf_buf);
+ faad_free(transf_buf);
}
Index: ssr_fb.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr_fb.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr_fb.h 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr_fb.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,22 +1,21 @@
/*
** FAAD - Freeware Advanced Audio Decoder
** Copyright (C) 2002 M. Bakker
-**
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
-** $Id$
**/
#ifndef __SSR_FB_H__
Index: ssr_ipqf.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr_ipqf.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr_ipqf.c 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr_ipqf.c 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
Index: ssr_ipqf.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr_ipqf.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr_ipqf.h 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr_ipqf.h 2 Jun 2004 22:59:03 -0000 1.3
@@ -1,19 +1,19 @@
/*
** FAAD - Freeware Advanced Audio Decoder
** Copyright (C) 2002 M. Bakker
-**
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
** $Id$
Index: ssr_win.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/ssr_win.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- ssr_win.h 3 Oct 2003 22:22:27 -0000 1.2
+++ ssr_win.h 2 Jun 2004 22:59:04 -0000 1.3
@@ -1,19 +1,19 @@
/*
** FAAD - Freeware Advanced Audio Decoder
** Copyright (C) 2002 M. Bakker
-**
+**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 2 of the License, or
** (at your option) any later version.
-**
+**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
-**
+**
** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
+** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
**
** $Id$
Index: structs.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/structs.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- structs.h 3 Oct 2003 22:22:27 -0000 1.2
+++ structs.h 2 Jun 2004 22:59:04 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -32,6 +32,7 @@
extern "C" {
#endif
+#include "cfft.h"
#ifdef SBR_DEC
#include "sbr_dec.h"
#endif
@@ -45,32 +46,27 @@
/* used to save the prediction state */
typedef struct {
- real_t r[2];
- real_t KOR[2];
- real_t VAR[2];
+ int16_t r[2];
+ int16_t COR[2];
+ int16_t VAR[2];
} pred_state;
-typedef struct
-{
- uint16_t n;
- uint16_t ifac[15];
- complex_t *work;
- complex_t *tab;
-} cfft_info;
-
typedef struct {
uint16_t N;
cfft_info *cfft;
complex_t *sincos;
- complex_t *Z1;
+#ifdef PROFILE
+ int64_t cycles;
+ int64_t fft_cycles;
+#endif
} mdct_info;
typedef struct
{
- real_t *long_window[2];
- real_t *short_window[2];
+ const real_t *long_window[2];
+ const real_t *short_window[2];
#ifdef LD_DEC
- real_t *ld_window[2];
+ const real_t *ld_window[2];
#endif
mdct_info *mdct256;
@@ -78,6 +74,12 @@
mdct_info *mdct1024;
#endif
mdct_info *mdct2048;
+#ifdef PROFILE
+ int64_t cycles;
+#endif
+#ifdef USE_SSE
+ void (*if_func)(void *a, uint8_t b, uint8_t c, uint8_t d, real_t *e, real_t *f, uint8_t g, uint16_t h);
+#endif
} fb_info;
typedef struct
@@ -252,7 +254,7 @@
uint8_t num_sec[8]; /* number of sections in a group */
uint8_t global_gain;
- int16_t scale_factors[8][51];
+ int16_t scale_factors[8][51]; /* [0..255] */
uint8_t ms_mask_present;
uint8_t ms_used[MAX_WINDOW_GROUPS][MAX_SFB];
@@ -331,6 +333,7 @@
uint8_t outputFormat;
uint8_t downMatrix;
uint8_t useOldADTSFormat;
+ uint8_t dontUpSampleImplicitSBR;
} faacDecConfiguration, *faacDecConfigurationPtr;
typedef struct faacDecFrameInfo
@@ -377,11 +380,26 @@
uint8_t downMatrix;
uint8_t first_syn_ele;
- uint8_t last_syn_ele;
uint8_t has_lfe;
+ /* number of channels in current frame */
uint8_t fr_channels;
+ /* number of elements in current frame */
uint8_t fr_ch_ele;
+ /* element_output_channels:
+ determines the number of channels the element will output
+ */
+ uint8_t element_output_channels[MAX_SYNTAX_ELEMENTS];
+ /* element_alloced:
+ determines whether the data needed for the element is allocated or not
+ */
+ uint8_t element_alloced[MAX_SYNTAX_ELEMENTS];
+ /* alloced_channels:
+ determines the number of channels where output data is allocated for
+ */
+ uint8_t alloced_channels;
+
+ /* output data buffer */
void *sample_buffer;
uint8_t window_shape_prev[MAX_CHANNELS];
@@ -392,20 +410,22 @@
drc_info *drc;
real_t *time_out[MAX_CHANNELS];
+ real_t *fb_intermed[MAX_CHANNELS];
#ifdef SBR_DEC
int8_t sbr_present_flag;
int8_t forceUpSampling;
+ /* determines whether SBR data is allocated for the gives element */
+ uint8_t sbr_alloced[MAX_SYNTAX_ELEMENTS];
- real_t *time_out2[MAX_CHANNELS];
-
- uint8_t sbr_used[32];
-
- sbr_info *sbr[32];
+ sbr_info *sbr[MAX_SYNTAX_ELEMENTS];
#ifdef DRM
int8_t lcstereo_flag;
#endif
#endif
+#if (defined(PS_DEC) || defined(DRM_PS))
+ uint8_t ps_used[MAX_SYNTAX_ELEMENTS];
+#endif
#ifdef SSR_DEC
real_t *ssr_overlap[MAX_CHANNELS];
@@ -417,23 +437,29 @@
pred_state *pred_stat[MAX_CHANNELS];
#endif
#ifdef LTP_DEC
- real_t *lt_pred_stat[MAX_CHANNELS];
-#endif
-
-#ifndef FIXED_POINT
-#if POW_TABLE_SIZE
- real_t *pow2_table;
-#endif
+ int16_t *lt_pred_stat[MAX_CHANNELS];
#endif
/* Program Config Element */
uint8_t pce_set;
program_config pce;
- uint8_t channel_element[MAX_CHANNELS];
+ uint8_t element_id[MAX_CHANNELS];
uint8_t internal_channel[MAX_CHANNELS];
/* Configuration data */
faacDecConfiguration config;
+
+#ifdef USE_SSE
+ void (*apply_sf_func)(void *a, void *b, void *c, uint16_t d);
+#endif
+
+#ifdef PROFILE
+ int64_t cycles;
+ int64_t spectral_cycles;
+ int64_t output_cycles;
+ int64_t scalefac_cycles;
+ int64_t requant_cycles;
+#endif
} faacDecStruct, *faacDecHandle;
Index: syntax.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/syntax.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- syntax.c 3 Oct 2003 22:22:27 -0000 1.2
+++ syntax.c 2 Jun 2004 22:59:04 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -51,6 +51,52 @@
#endif
+/* static function declarations */
+static void decode_sce_lfe(faacDecHandle hDecoder, faacDecFrameInfo *hInfo, bitfile *ld,
+ uint8_t id_syn_ele);
+static void decode_cpe(faacDecHandle hDecoder, faacDecFrameInfo *hInfo, bitfile *ld,
+ uint8_t id_syn_ele);
+static uint8_t single_lfe_channel_element(faacDecHandle hDecoder, bitfile *ld,
+ uint8_t channel, uint8_t *tag);
+static uint8_t channel_pair_element(faacDecHandle hDecoder, bitfile *ld,
+ uint8_t channel, uint8_t *tag);
+#ifdef COUPLING_DEC
+static uint8_t coupling_channel_element(faacDecHandle hDecoder, bitfile *ld);
+#endif
+static uint16_t data_stream_element(faacDecHandle hDecoder, bitfile *ld);
+static uint8_t program_config_element(program_config *pce, bitfile *ld);
+static uint8_t fill_element(faacDecHandle hDecoder, bitfile *ld, drc_info *drc
+#ifdef SBR_DEC
+ ,uint8_t sbr_ele
+#endif
+ );
+static uint8_t individual_channel_stream(faacDecHandle hDecoder, element *ele,
+ bitfile *ld, ic_stream *ics, uint8_t scal_flag,
+ int16_t *spec_data);
+static uint8_t ics_info(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld,
+ uint8_t common_window);
+static uint8_t section_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld);
+static uint8_t scale_factor_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld);
+#ifdef SSR_DEC
+static void gain_control_data(bitfile *ld, ic_stream *ics);
+#endif
+static uint8_t spectral_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld,
+ int16_t *spectral_data);
+static uint16_t extension_payload(bitfile *ld, drc_info *drc, uint16_t count);
+static uint8_t pulse_data(ic_stream *ics, pulse_info *pul, bitfile *ld);
+static void tns_data(ic_stream *ics, tns_info *tns, bitfile *ld);
+static uint8_t ltp_data(faacDecHandle hDecoder, ic_stream *ics, ltp_info *ltp, bitfile *ld);
+static uint8_t adts_fixed_header(adts_header *adts, bitfile *ld);
+static void adts_variable_header(adts_header *adts, bitfile *ld);
+static void adts_error_check(adts_header *adts, bitfile *ld);
+static uint8_t dynamic_range_info(bitfile *ld, drc_info *drc);
+static uint8_t excluded_channels(bitfile *ld, drc_info *drc);
+#ifdef SCALABLE_DEC
+static int8_t aac_scalable_main_header(faacDecHandle hDecoder, ic_stream *ics1, ic_stream *ics2,
+ bitfile *ld, uint8_t this_layer_stereo);
+#endif
+
+
/* Table 4.4.1 */
int8_t GASpecificConfig(bitfile *ld, mp4AudioSpecificConfig *mp4ASC,
program_config *pce_out)
@@ -60,6 +106,10 @@
/* 1024 or 960 */
mp4ASC->frameLengthFlag = faad_get1bit(ld
DEBUGVAR(1,138,"GASpecificConfig(): FrameLengthFlag"));
+#ifndef ALLOW_SMALL_FRAMELENGTH
+ if (mp4ASC->frameLengthFlag == 1)
+ return -3;
+#endif
mp4ASC->dependsOnCoreCoder = faad_get1bit(ld
DEBUGVAR(1,139,"GASpecificConfig(): DependsOnCoreCoder"));
@@ -72,7 +122,8 @@
mp4ASC->extensionFlag = faad_get1bit(ld DEBUGVAR(1,141,"GASpecificConfig(): ExtensionFlag"));
if (mp4ASC->channelsConfiguration == 0)
{
- program_config_element(&pce, ld);
+ if (program_config_element(&pce, ld))
+ return -3;
//mp4ASC->channelsConfiguration = pce.channels;
if (pce_out != NULL)
@@ -112,7 +163,7 @@
PCEs transmitted in raw data blocks cannot be used to convey decoder
configuration information.
*/
-uint8_t program_config_element(program_config *pce, bitfile *ld)
+static uint8_t program_config_element(program_config *pce, bitfile *ld)
{
uint8_t i;
@@ -257,108 +308,109 @@
}
pce->comment_field_data[i] = 0;
+ if (pce->channels > MAX_CHANNELS)
+ return 22;
+
return 0;
}
-element *decode_sce_lfe(faacDecHandle hDecoder,
- faacDecFrameInfo *hInfo, bitfile *ld,
- real_t **spec_coef, uint8_t id_syn_ele)
+static void decode_sce_lfe(faacDecHandle hDecoder,
+ faacDecFrameInfo *hInfo, bitfile *ld,
+ uint8_t id_syn_ele)
{
- element *ele;
uint8_t channels = hDecoder->fr_channels;
+ uint8_t tag = 0;
if (channels+1 > MAX_CHANNELS)
{
hInfo->error = 12;
- return NULL;
+ return;
}
if (hDecoder->fr_ch_ele+1 > MAX_SYNTAX_ELEMENTS)
{
hInfo->error = 13;
- return NULL;
+ return;
}
- spec_coef[channels] = (real_t*)malloc(hDecoder->frameLength*sizeof(real_t));
+ /* for SCE hDecoder->element_output_channels[] is not set here because this
+ can become 2 when some form of Parametric Stereo coding is used
+ */
- ele = (element*)malloc(sizeof(element));
- memset(ele, 0, sizeof(element));
- ele->ele_id = id_syn_ele;
- ele->channel = channels;
- ele->paired_channel = -1;
+ /* save the syntax element id */
+ hDecoder->element_id[hDecoder->fr_ch_ele] = id_syn_ele;
- hInfo->error = single_lfe_channel_element(hDecoder, ele,
- ld, spec_coef[channels]);
+ /* decode the element */
+ hInfo->error = single_lfe_channel_element(hDecoder, ld, channels, &tag);
- if (hDecoder->pce_set)
- hDecoder->internal_channel[hDecoder->pce.sce_channel[ele->element_instance_tag]] = channels;
- else
+ /* map output channels position to internal data channels */
+ if (hDecoder->element_output_channels[hDecoder->fr_ch_ele] == 2)
+ {
+ /* this might be faulty when pce_set is true */
hDecoder->internal_channel[channels] = channels;
+ hDecoder->internal_channel[channels+1] = channels+1;
+ } else {
+ if (hDecoder->pce_set)
+ hDecoder->internal_channel[hDecoder->pce.sce_channel[tag]] = channels;
+ else
+ hDecoder->internal_channel[channels] = channels;
+ }
- if (id_syn_ele == ID_SCE)
- hDecoder->channel_element[channels] = hDecoder->fr_ch_ele;
- else /* LFE */
- hDecoder->channel_element[channels] = hDecoder->fr_ch_ele;
-
- hDecoder->fr_channels++;
+ hDecoder->fr_channels += hDecoder->element_output_channels[hDecoder->fr_ch_ele];
hDecoder->fr_ch_ele++;
-
- return ele;
}
-element *decode_cpe(faacDecHandle hDecoder,
- faacDecFrameInfo *hInfo, bitfile *ld,
- real_t **spec_coef, uint8_t id_syn_ele)
+static void decode_cpe(faacDecHandle hDecoder, faacDecFrameInfo *hInfo, bitfile *ld,
+ uint8_t id_syn_ele)
{
- element *ele;
uint8_t channels = hDecoder->fr_channels;
+ uint8_t tag = 0;
if (channels+2 > MAX_CHANNELS)
{
hInfo->error = 12;
- return NULL;
+ return;
}
if (hDecoder->fr_ch_ele+1 > MAX_SYNTAX_ELEMENTS)
{
hInfo->error = 13;
- return NULL;
+ return;
}
- spec_coef[channels] = (real_t*)malloc(hDecoder->frameLength*sizeof(real_t));
- spec_coef[channels+1] = (real_t*)malloc(hDecoder->frameLength*sizeof(real_t));
+ /* for CPE the number of output channels is always 2 */
+ if (hDecoder->element_output_channels[hDecoder->fr_ch_ele] == 0)
+ {
+ /* element_output_channels not set yet */
+ hDecoder->element_output_channels[hDecoder->fr_ch_ele] = 2;
+ } else if (hDecoder->element_output_channels[hDecoder->fr_ch_ele] != 2) {
+ /* element inconsistency */
+ hInfo->error = 21;
+ return;
+ }
- ele = (element*)malloc(sizeof(element));
- memset(ele, 0, sizeof(element));
- ele->ele_id = id_syn_ele;
- ele->channel = channels;
- ele->paired_channel = channels+1;
+ /* save the syntax element id */
+ hDecoder->element_id[hDecoder->fr_ch_ele] = id_syn_ele;
- hInfo->error = channel_pair_element(hDecoder, ele,
- ld, spec_coef[channels], spec_coef[channels+1]);
+ /* decode the element */
+ hInfo->error = channel_pair_element(hDecoder, ld, channels, &tag);
+ /* map output channel position to internal data channels */
if (hDecoder->pce_set)
{
- hDecoder->internal_channel[hDecoder->pce.cpe_channel[ele->element_instance_tag]] = channels;
- hDecoder->internal_channel[hDecoder->pce.cpe_channel[ele->element_instance_tag]+1] = channels+1;
+ hDecoder->internal_channel[hDecoder->pce.cpe_channel[tag]] = channels;
+ hDecoder->internal_channel[hDecoder->pce.cpe_channel[tag]+1] = channels+1;
} else {
hDecoder->internal_channel[channels] = channels;
hDecoder->internal_channel[channels+1] = channels+1;
}
- hDecoder->channel_element[channels] = hDecoder->fr_ch_ele;
- hDecoder->channel_element[channels+1] = hDecoder->fr_ch_ele;
-
hDecoder->fr_channels += 2;
hDecoder->fr_ch_ele++;
-
- return ele;
}
-element **raw_data_block(faacDecHandle hDecoder, faacDecFrameInfo *hInfo,
- bitfile *ld, element **elements,
- real_t **spec_coef, program_config *pce, drc_info *drc)
+void raw_data_block(faacDecHandle hDecoder, faacDecFrameInfo *hInfo,
+ bitfile *ld, program_config *pce, drc_info *drc)
{
uint8_t id_syn_ele;
- uint8_t ch_ele = 0;
hDecoder->fr_channels = 0;
hDecoder->fr_ch_ele = 0;
@@ -376,56 +428,52 @@
switch (id_syn_ele) {
case ID_SCE:
if (hDecoder->first_syn_ele == 25) hDecoder->first_syn_ele = id_syn_ele;
- hDecoder->last_syn_ele = id_syn_ele;
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, id_syn_ele);
+ decode_sce_lfe(hDecoder, hInfo, ld, id_syn_ele);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case ID_CPE:
if (hDecoder->first_syn_ele == 25) hDecoder->first_syn_ele = id_syn_ele;
- hDecoder->last_syn_ele = id_syn_ele;
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, id_syn_ele);
+ decode_cpe(hDecoder, hInfo, ld, id_syn_ele);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case ID_LFE:
hDecoder->has_lfe++;
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, id_syn_ele);
+ decode_sce_lfe(hDecoder, hInfo, ld, id_syn_ele);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case ID_CCE: /* not implemented yet, but skip the bits */
+#ifdef COUPLING_DEC
hInfo->error = coupling_channel_element(hDecoder, ld);
+#else
+ hInfo->error = 6;
+#endif
if (hInfo->error > 0)
- return elements;
+ return;
break;
case ID_DSE:
data_stream_element(hDecoder, ld);
break;
case ID_PCE:
- if ((hInfo->error = program_config_element(pce, ld)) > 0)
- return elements;
- hDecoder->pce_set = 1;
+ /* 14496-4: 5.6.4.1.2.1.3: */
+ /* program_configuration_element()'s in access units shall be ignored */
+ program_config_element(pce, ld);
+ //if ((hInfo->error = program_config_element(pce, ld)) > 0)
+ // return;
+ //hDecoder->pce_set = 1;
break;
case ID_FIL:
/* one sbr_info describes a channel_element not a channel! */
+ /* if we encounter SBR data here: error */
+ /* SBR data will be read directly in the SCE/LFE/CPE element */
if ((hInfo->error = fill_element(hDecoder, ld, drc
#ifdef SBR_DEC
- , (ch_ele-1)
+ , INVALID_SBR_ELEMENT
#endif
)) > 0)
- return elements;
-#ifdef SBR_DEC
- if (hDecoder->sbr_used[ch_ele-1])
- {
- hDecoder->sbr_present_flag = 1;
- hDecoder->sbr[ch_ele-1]->sample_rate = get_sample_rate(hDecoder->sf_index);
- hDecoder->sbr[ch_ele-1]->sample_rate *= 2;
- }
-#endif
+ return;
break;
}
}
@@ -435,74 +483,55 @@
switch (hDecoder->channelConfiguration)
{
case 1:
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case 2:
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case 3:
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case 4:
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case 5:
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
case 6:
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_LFE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_LFE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
- case 7:
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_SCE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_cpe(hDecoder,
- hInfo, ld, spec_coef, ID_CPE);
- elements[ch_ele++] = decode_sce_lfe(hDecoder,
- hInfo, ld, spec_coef, ID_LFE);
+ case 7: /* 8 channels */
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_SCE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_cpe(hDecoder, hInfo, ld, ID_CPE);
+ decode_sce_lfe(hDecoder, hInfo, ld, ID_LFE);
if (hInfo->error > 0)
- return elements;
+ return;
break;
default:
hInfo->error = 7;
- return elements;
+ return;
}
#if 0
cnt = bits_to_decode() / 8;
@@ -522,98 +551,76 @@
faad_byte_align(ld);
}
- return elements;
+ return;
}
/* Table 4.4.4 and */
/* Table 4.4.9 */
-static uint8_t single_lfe_channel_element(faacDecHandle hDecoder,
- element *sce, bitfile *ld,
- real_t *spec_coef)
+static uint8_t single_lfe_channel_element(faacDecHandle hDecoder, bitfile *ld,
+ uint8_t channel, uint8_t *tag)
{
uint8_t retval = 0;
- ic_stream *ics = &(sce->ics1);
- int16_t spec_data[1024];
-#ifdef DRM
- uint8_t result;
+ element sce = {0};
+ ic_stream *ics = &(sce.ics1);
+ ALIGN int16_t spec_data[1024] = {0};
- if (hDecoder->object_type != DRM_ER_LC)
-#endif
- sce->element_instance_tag = (uint8_t)faad_getbits(ld, LEN_TAG
+ sce.element_instance_tag = (uint8_t)faad_getbits(ld, LEN_TAG
DEBUGVAR(1,38,"single_lfe_channel_element(): element_instance_tag"));
-#ifdef DRM
- if (hDecoder->object_type == DRM_ER_LC)
- {
- individual_channel_stream(hDecoder, sce, ld, ics, 0, spec_data);
+ *tag = sce.element_instance_tag;
+ sce.channel = channel;
+ sce.paired_channel = -1;
- if (ics->tns_data_present)
- tns_data(ics, &(ics->tns), ld);
-
- if ((result = faad_check_CRC( ld, faad_get_processed_bits(ld) - 8 )) > 0)
- return result;
+ retval = individual_channel_stream(hDecoder, &sce, ld, ics, 0, spec_data);
+ if (retval > 0)
+ return retval;
- /* error resilient spectral data decoding */
- if ((result = reordered_spectral_data(hDecoder, ics, ld, spec_data)) > 0)
- return result;
+#ifdef SBR_DEC
+ /* check if next bitstream element is a fill element */
+ /* if so, read it now so SBR decoding can be done in case of a file with SBR */
+ if (faad_showbits(ld, LEN_SE_ID) == ID_FIL)
+ {
+ faad_flushbits(ld, LEN_SE_ID);
- /* pulse coding reconstruction */
- if (ics->pulse_data_present)
+ /* one sbr_info describes a channel_element not a channel! */
+ if ((retval = fill_element(hDecoder, ld, hDecoder->drc, hDecoder->fr_ch_ele)) > 0)
{
- if (ics->window_sequence != EIGHT_SHORT_SEQUENCE)
- {
- if ((result = pulse_decode(ics, spec_data, hDecoder->frameLength)) > 0)
- return result;
- } else {
- return 2; /* pulse coding not allowed for short blocks */
- }
- }
- } else
-#endif
- {
- retval = individual_channel_stream(hDecoder, sce, ld, ics, 0, spec_data);
- if (retval > 0)
return retval;
+ }
}
-
+#endif
/* noiseless coding is done, spectral reconstruction is done now */
-
- /* inverse quantization */
- inverse_quantization(spec_coef, spec_data, hDecoder->frameLength);
-
- /* apply scalefactors */
- apply_scalefactors(hDecoder, ics, spec_coef, hDecoder->frameLength);
-
- /* deinterleave short block grouping */
- if (ics->window_sequence == EIGHT_SHORT_SEQUENCE)
- quant_to_spec(ics, spec_coef, hDecoder->frameLength);
+ retval = reconstruct_single_channel(hDecoder, ics, &sce, spec_data);
+ if (retval > 0)
+ return retval;
return 0;
}
/* Table 4.4.5 */
-static uint8_t channel_pair_element(faacDecHandle hDecoder, element *cpe,
- bitfile *ld,
- real_t *spec_coef1, real_t *spec_coef2)
+static uint8_t channel_pair_element(faacDecHandle hDecoder, bitfile *ld,
+ uint8_t channels, uint8_t *tag)
{
+ ALIGN int16_t spec_data1[1024] = {0};
+ ALIGN int16_t spec_data2[1024] = {0};
+ element cpe = {0};
+ ic_stream *ics1 = &(cpe.ics1);
+ ic_stream *ics2 = &(cpe.ics2);
uint8_t result;
- ic_stream *ics1 = &(cpe->ics1);
- ic_stream *ics2 = &(cpe->ics2);
- int16_t spec_data1[1024];
- int16_t spec_data2[1024];
-#ifdef DRM
- if (hDecoder->object_type != DRM_ER_LC)
-#endif
- cpe->element_instance_tag = (uint8_t)faad_getbits(ld, LEN_TAG
+ cpe.channel = channels;
+ cpe.paired_channel = channels+1;
+
+ cpe.element_instance_tag = (uint8_t)faad_getbits(ld, LEN_TAG
DEBUGVAR(1,39,"channel_pair_element(): element_instance_tag"));
+ *tag = cpe.element_instance_tag;
- if ((cpe->common_window = faad_get1bit(ld
+ if ((cpe.common_window = faad_get1bit(ld
DEBUGVAR(1,40,"channel_pair_element(): common_window"))) & 1)
{
/* both channels have common ics information */
- if ((result = ics_info(hDecoder, ics1, ld, cpe->common_window)) > 0)
+ if ((result = ics_info(hDecoder, ics1, ld, cpe.common_window)) > 0)
return result;
ics1->ms_mask_present = (uint8_t)faad_getbits(ld, 2
@@ -637,7 +644,10 @@
if ((ics1->ltp.data_present = faad_get1bit(ld
DEBUGVAR(1,50,"channel_pair_element(): ltp.data_present"))) & 1)
{
- ltp_data(hDecoder, ics1, &(ics1->ltp), ld);
+ if ((result = ltp_data(hDecoder, ics1, &(ics1->ltp), ld)) > 0)
+ {
+ return result;
+ }
}
}
#endif
@@ -647,106 +657,58 @@
ics1->ms_mask_present = 0;
}
- if ((result = individual_channel_stream(hDecoder, cpe, ld, ics1,
+ if ((result = individual_channel_stream(hDecoder, &cpe, ld, ics1,
0, spec_data1)) > 0)
{
return result;
}
#ifdef ERROR_RESILIENCE
- if (cpe->common_window && (hDecoder->object_type >= ER_OBJECT_START) &&
+ if (cpe.common_window && (hDecoder->object_type >= ER_OBJECT_START) &&
(ics1->predictor_data_present))
{
if ((ics1->ltp2.data_present = faad_get1bit(ld
DEBUGVAR(1,50,"channel_pair_element(): ltp.data_present"))) & 1)
{
- ltp_data(hDecoder, ics1, &(ics1->ltp2), ld);
+ if ((result = ltp_data(hDecoder, ics1, &(ics1->ltp2), ld)) > 0)
+ {
+ return result;
+ }
}
}
#endif
- if ((result = individual_channel_stream(hDecoder, cpe, ld, ics2,
+ if ((result = individual_channel_stream(hDecoder, &cpe, ld, ics2,
0, spec_data2)) > 0)
{
return result;
}
-#ifdef DRM
- if (hDecoder->object_type == DRM_ER_LC)
+#ifdef SBR_DEC
+ /* check if next bitstream element is a fill element */
+ /* if so, read it now so SBR decoding can be done in case of a file with SBR */
+ if (faad_showbits(ld, LEN_SE_ID) == ID_FIL)
{
- if (ics1->tns_data_present)
- tns_data(ics1, &(ics1->tns), ld);
-
- if (ics1->tns_data_present)
- tns_data(ics2, &(ics2->tns), ld);
+ faad_flushbits(ld, LEN_SE_ID);
- if ((result = faad_check_CRC( ld, faad_get_processed_bits(ld) - 8 )) > 0)
- return result;
-
- /* error resilient spectral data decoding */
- if ((result = reordered_spectral_data(hDecoder, ics1, ld, spec_data1)) > 0)
- return result;
- if ((result = reordered_spectral_data(hDecoder, ics2, ld, spec_data2)) > 0)
- return result;
- /* pulse coding reconstruction */
- if (ics1->pulse_data_present)
+ /* one sbr_info describes a channel_element not a channel! */
+ if ((result = fill_element(hDecoder, ld, hDecoder->drc, hDecoder->fr_ch_ele)) > 0)
{
- if (ics1->window_sequence != EIGHT_SHORT_SEQUENCE)
- {
- if ((result = pulse_decode(ics1, spec_data1, hDecoder->frameLength)) > 0)
- return result;
- } else {
- return 2; /* pulse coding not allowed for short blocks */
- }
- }
- if (ics2->pulse_data_present)
- {
- if (ics2->window_sequence != EIGHT_SHORT_SEQUENCE)
- {
- if ((result = pulse_decode(ics2, spec_data2, hDecoder->frameLength)) > 0)
- return result;
- } else {
- return 2; /* pulse coding not allowed for short blocks */
- }
+ return result;
}
}
#endif
/* noiseless coding is done, spectral reconstruction is done now */
-
- /* inverse quantization */
- inverse_quantization(spec_coef1, spec_data1, hDecoder->frameLength);
- inverse_quantization(spec_coef2, spec_data2, hDecoder->frameLength);
-
- /* apply scalefactors */
- apply_scalefactors(hDecoder, ics1, spec_coef1, hDecoder->frameLength);
- apply_scalefactors(hDecoder, ics2, spec_coef2, hDecoder->frameLength);
-
- /* deinterleave short block grouping */
- if (ics1->window_sequence == EIGHT_SHORT_SEQUENCE)
- quant_to_spec(ics1, spec_coef1, hDecoder->frameLength);
- if (ics2->window_sequence == EIGHT_SHORT_SEQUENCE)
- quant_to_spec(ics2, spec_coef2, hDecoder->frameLength);
+ if ((result = reconstruct_channel_pair(hDecoder, ics1, ics2, &cpe,
+ spec_data1, spec_data2)) > 0)
+ {
+ return result;
+ }
return 0;
}
-static uint8_t pred_sfb_max[] =
-{
- 33, /* 96000 */
- 33, /* 88200 */
- 38, /* 64000 */
- 40, /* 48000 */
- 40, /* 44100 */
- 40, /* 32000 */
- 41, /* 24000 */
- 41, /* 22050 */
- 37, /* 16000 */
- 37, /* 12000 */
- 37, /* 11025 */
- 34 /* 8000 */
-};
-
/* Table 4.4.6 */
static uint8_t ics_info(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld,
uint8_t common_window)
@@ -789,7 +751,7 @@
{
uint8_t sfb;
- ics->pred.limit = min(ics->max_sfb, pred_sfb_max[hDecoder->sf_index]);
+ ics->pred.limit = min(ics->max_sfb, max_pred_sfb(hDecoder->sf_index));
if ((ics->pred.predictor_reset = faad_get1bit(ld
DEBUGVAR(1,53,"ics_info(): pred.predictor_reset"))) & 1)
@@ -811,14 +773,20 @@
if ((ics->ltp.data_present = faad_get1bit(ld
DEBUGVAR(1,50,"ics_info(): ltp.data_present"))) & 1)
{
- ltp_data(hDecoder, ics, &(ics->ltp), ld);
+ if ((retval = ltp_data(hDecoder, ics, &(ics->ltp), ld)) > 0)
+ {
+ return retval;
+ }
}
if (common_window)
{
if ((ics->ltp2.data_present = faad_get1bit(ld
DEBUGVAR(1,51,"ics_info(): ltp2.data_present"))) & 1)
{
- ltp_data(hDecoder, ics, &(ics->ltp2), ld);
+ if ((retval = ltp_data(hDecoder, ics, &(ics->ltp2), ld)) > 0)
+ {
+ return retval;
+ }
}
}
}
@@ -865,6 +833,7 @@
return 0;
}
+#ifdef COUPLING_DEC
/* Table 4.4.8: Currently just for skipping the bits... */
static uint8_t coupling_channel_element(faacDecHandle hDecoder, bitfile *ld)
{
@@ -873,13 +842,10 @@
uint8_t num_gain_element_lists = 0;
uint8_t num_coupled_elements = 0;
- element el_empty;
- ic_stream ics_empty;
+ element el_empty = {0};
+ ic_stream ics_empty = {0};
int16_t sh_data[1024];
- memset(&el_empty, 0, sizeof(element));
- memset(&ics_empty, 0, sizeof(ic_stream));
-
c = faad_getbits(ld, LEN_TAG
DEBUGVAR(1,900,"coupling_channel_element(): element_instance_tag"));
@@ -955,6 +921,7 @@
return 0;
}
+#endif
/* Table 4.4.10 */
static uint16_t data_stream_element(faacDecHandle hDecoder, bitfile *ld)
@@ -978,7 +945,7 @@
for (i = 0; i < count; i++)
{
- uint8_t data = faad_getbits(ld, LEN_BYTE
+ faad_getbits(ld, LEN_BYTE
DEBUGVAR(1,64,"data_stream_element(): data_stream_byte"));
}
@@ -1008,28 +975,35 @@
if (count > 0)
{
#ifdef SBR_DEC
- hDecoder->sbr_used[sbr_ele] = 0;
bs_extension_type = (uint8_t)faad_showbits(ld, 4);
if ((bs_extension_type == EXT_SBR_DATA) ||
(bs_extension_type == EXT_SBR_DATA_CRC))
{
- hDecoder->sbr_used[sbr_ele] = 1;
+ if (sbr_ele == INVALID_SBR_ELEMENT)
+ return 24;
if (!hDecoder->sbr[sbr_ele])
{
- hDecoder->sbr[sbr_ele] = sbrDecodeInit(hDecoder->frameLength
+ hDecoder->sbr[sbr_ele] = sbrDecodeInit(hDecoder->frameLength,
+ hDecoder->element_id[sbr_ele], 2*get_sample_rate(hDecoder->sf_index)
#ifdef DRM
, 0
#endif
);
}
- /* read in all the SBR data for processing later on */
- hDecoder->sbr[sbr_ele]->data = (uint8_t*)faad_getbitbuffer(ld, count*8);
- hDecoder->sbr[sbr_ele]->data_size = count;
+ hDecoder->sbr_present_flag = 1;
+
+ /* parse the SBR data */
+ hDecoder->sbr[sbr_ele]->ret = sbr_extension_data(ld, hDecoder->sbr[sbr_ele], count);
+#if (defined(PS_DEC) || defined(DRM_PS))
+ if (hDecoder->sbr[sbr_ele]->ps_used)
+ {
+ hDecoder->ps_used[sbr_ele] = 1;
+ }
+#endif
} else {
- hDecoder->sbr_used[sbr_ele] = 0;
#endif
while (count > 0)
{
@@ -1139,6 +1113,261 @@
}
#endif
+#ifdef SCALABLE_DEC
+/* Table 4.4.13 ASME */
+void aac_scalable_main_element(faacDecHandle hDecoder, faacDecFrameInfo *hInfo,
+ bitfile *ld, program_config *pce, drc_info *drc)
+{
+ uint8_t retval = 0;
+ uint8_t channels = hDecoder->fr_channels = 0;
+ uint8_t ch;
+ uint8_t this_layer_stereo = (hDecoder->channelConfiguration > 1) ? 1 : 0;
+ element cpe = {0};
+ ic_stream *ics1 = &(cpe.ics1);
+ ic_stream *ics2 = &(cpe.ics2);
+ int16_t *spec_data;
+ ALIGN int16_t spec_data1[1024] = {0};
+ ALIGN int16_t spec_data2[1024] = {0};
+
+ hDecoder->fr_ch_ele = 0;
+
+ hInfo->error = aac_scalable_main_header(hDecoder, ics1, ics2, ld, this_layer_stereo);
+ if (hInfo->error > 0)
+ return;
+
+ cpe.common_window = 1;
+ if (this_layer_stereo)
+ cpe.ele_id = ID_CPE;
+ else
+ cpe.ele_id = ID_SCE;
+
+ hDecoder->element_output_channels[hDecoder->fr_ch_ele] = (this_layer_stereo ? 2 : 0);
+
+ for (ch = 0; ch < (this_layer_stereo ? 2 : 1); ch++)
+ {
+ ic_stream *ics;
+ if (ch == 0)
+ {
+ ics = ics1;
+ spec_data = spec_data1;
+ } else {
+ ics = ics2;
+ spec_data = spec_data2;
+ }
+
+ hInfo->error = individual_channel_stream(hDecoder, &cpe, ld, ics, 1, spec_data);
+ if (hInfo->error > 0)
+ return;
+ }
+
+#ifdef DRM
+#ifdef SBR_DEC
+ /* In case of DRM we need to read the SBR info before channel reconstruction */
+ if ((hDecoder->sbr_present_flag == 1) && (hDecoder->object_type == DRM_ER_LC))
+ {
+ bitfile ld_sbr = {0};
+ uint32_t i;
+ uint16_t count = 0;
+ uint8_t *revbuffer;
+ uint8_t *prevbufstart;
+ uint8_t *pbufend;
+
+ /* all forward bitreading should be finished at this point */
+ uint32_t bitsconsumed = faad_get_processed_bits(ld);
+ uint32_t buffer_size = faad_origbitbuffer_size(ld);
+ uint8_t *buffer = (uint8_t*)faad_origbitbuffer(ld);
+
+ if (bitsconsumed + 8 > buffer_size*8)
+ {
+ hInfo->error = 14;
+ return;
+ }
+
+ if (!hDecoder->sbr[0])
+ {
+ hDecoder->sbr[0] = sbrDecodeInit(hDecoder->frameLength, cpe.ele_id,
+ 2*get_sample_rate(hDecoder->sf_index), 1);
+ }
+
+ /* Reverse bit reading of SBR data in DRM audio frame */
+ revbuffer = (uint8_t*)faad_malloc(buffer_size*sizeof(uint8_t));
+ prevbufstart = revbuffer;
+ pbufend = &buffer[buffer_size - 1];
+ for (i = 0; i < buffer_size; i++)
+ *prevbufstart++ = tabFlipbits[*pbufend--];
+
+ /* Set SBR data */
+ /* consider 8 bits from AAC-CRC */
+ count = (uint16_t)bit2byte(buffer_size*8 - bitsconsumed);
+ faad_initbits(&ld_sbr, revbuffer, count);
+
+ hDecoder->sbr[0]->lcstereo_flag = hDecoder->lcstereo_flag;
+
+ hDecoder->sbr[0]->sample_rate = get_sample_rate(hDecoder->sf_index);
+ hDecoder->sbr[0]->sample_rate *= 2;
+
+ faad_getbits(&ld_sbr, 8); /* Skip 8-bit CRC */
+
+ hDecoder->sbr[0]->ret = sbr_extension_data(&ld_sbr, hDecoder->sbr[0], count);
+#if (defined(PS_DEC) || defined(DRM_PS))
+ if (hDecoder->sbr[0]->ps_used)
+ {
+ hDecoder->ps_used[0] = 1;
+ }
+#endif
+
+ /* check CRC */
+ /* no need to check it if there was already an error */
+ if (hDecoder->sbr[0]->ret == 0)
+ hDecoder->sbr[0]->ret = faad_check_CRC(&ld_sbr, faad_get_processed_bits(&ld_sbr) - 8);
+
+ faad_endbits(&ld_sbr);
+
+ if (revbuffer)
+ faad_free(revbuffer);
+ }
+#endif
+#endif
+
+ if (this_layer_stereo)
+ {
+ hInfo->error = reconstruct_channel_pair(hDecoder, ics1, ics2, &cpe, spec_data1, spec_data2);
+ if (hInfo->error > 0)
+ return;
+ } else {
+ hInfo->error = reconstruct_single_channel(hDecoder, ics1, &cpe, spec_data1);
+ if (hInfo->error > 0)
+ return;
+ }
+
+ /* map output channels position to internal data channels */
+ if (hDecoder->element_output_channels[hDecoder->fr_ch_ele] == 2)
+ {
+ /* this might be faulty when pce_set is true */
+ hDecoder->internal_channel[channels] = channels;
+ hDecoder->internal_channel[channels+1] = channels+1;
+ } else {
+ hDecoder->internal_channel[channels] = channels;
+ }
+
+ hDecoder->element_id[hDecoder->fr_ch_ele] = cpe.ele_id;
+
+ hDecoder->fr_channels += hDecoder->element_output_channels[hDecoder->fr_ch_ele];
+ hDecoder->fr_ch_ele++;
+
+ return;
+}
+
+/* Table 4.4.15 */
+static int8_t aac_scalable_main_header(faacDecHandle hDecoder, ic_stream *ics1, ic_stream *ics2,
+ bitfile *ld, uint8_t this_layer_stereo)
+{
+ uint8_t retval = 0;
+ uint8_t ch;
+ ic_stream *ics;
+
+ /* ics1->ics_reserved_bit = */ faad_get1bit(ld
+ DEBUGVAR(1,300,"aac_scalable_main_header(): ics_reserved_bits"));
+ ics1->window_sequence = (uint8_t)faad_getbits(ld, 2
+ DEBUGVAR(1,301,"aac_scalable_main_header(): window_sequence"));
+ ics1->window_shape = faad_get1bit(ld
+ DEBUGVAR(1,302,"aac_scalable_main_header(): window_shape"));
+
+ if (ics1->window_sequence == EIGHT_SHORT_SEQUENCE)
+ {
+ ics1->max_sfb = (uint8_t)faad_getbits(ld, 4
+ DEBUGVAR(1,303,"aac_scalable_main_header(): max_sfb (short)"));
+ ics1->scale_factor_grouping = (uint8_t)faad_getbits(ld, 7
+ DEBUGVAR(1,304,"aac_scalable_main_header(): scale_factor_grouping"));
+ } else {
+ ics1->max_sfb = (uint8_t)faad_getbits(ld, 6
+ DEBUGVAR(1,305,"aac_scalable_main_header(): max_sfb (long)"));
+ }
+
+ /* get the grouping information */
+ if ((retval = window_grouping_info(hDecoder, ics1)) > 0)
+ return retval;
+
+ /* should be an error */
+ /* check the range of max_sfb */
+ if (ics1->max_sfb > ics1->num_swb)
+ return 16;
+
+ if (this_layer_stereo)
+ {
+ ics1->ms_mask_present = (uint8_t)faad_getbits(ld, 2
+ DEBUGVAR(1,306,"aac_scalable_main_header(): ms_mask_present"));
+ if (ics1->ms_mask_present == 1)
+ {
+ uint8_t g, sfb;
+ for (g = 0; g < ics1->num_window_groups; g++)
+ {
+ for (sfb = 0; sfb < ics1->max_sfb; sfb++)
+ {
+ ics1->ms_used[g][sfb] = faad_get1bit(ld
+ DEBUGVAR(1,307,"aac_scalable_main_header(): faad_get1bit"));
+ }
+ }
+ }
+
+ memcpy(ics2, ics1, sizeof(ic_stream));
+ } else {
+ ics1->ms_mask_present = 0;
+ }
+
+ if (0)
+ {
+ faad_get1bit(ld
+ DEBUGVAR(1,308,"aac_scalable_main_header(): tns_channel_mono_layer"));
+ }
+
+ for (ch = 0; ch < (this_layer_stereo ? 2 : 1); ch++)
+ {
+ if (ch == 0)
+ ics = ics1;
+ else
+ ics = ics2;
+
+ if ( 1 /*!tvq_layer_pesent || (tns_aac_tvq_en[ch] == 1)*/)
+ {
+ if ((ics->tns_data_present = faad_get1bit(ld
+ DEBUGVAR(1,309,"aac_scalable_main_header(): tns_data_present"))) & 1)
+ {
+#ifdef DRM
+ /* different order of data units in DRM */
+ if (hDecoder->object_type != DRM_ER_LC)
+#endif
+ {
+ tns_data(ics, &(ics->tns), ld);
+ }
+ }
+ }
+#if 0
+ if (0 /*core_flag || tvq_layer_pesent*/)
+ {
+ if ((ch==0) || ((ch==1) && (core_stereo || tvq_stereo))
+ diff_control_data();
+ if (mono_stereo_flag)
+ diff_control_data_lr();
+ } else {
+#endif
+ if ((ics->ltp.data_present = faad_get1bit(ld
+ DEBUGVAR(1,310,"aac_scalable_main_header(): ltp.data_present"))) & 1)
+ {
+ if ((retval = ltp_data(hDecoder, ics, &(ics->ltp), ld)) > 0)
+ {
+ return retval;
+ }
+ }
+#if 0
+ }
+#endif
+ }
+
+ return 0;
+}
+#endif
+
/* Table 4.4.24 */
static uint8_t individual_channel_stream(faacDecHandle hDecoder, element *ele,
bitfile *ld, ic_stream *ics, uint8_t scal_flag,
@@ -1229,17 +1458,19 @@
return result;
}
-#ifdef DRM
- if (hDecoder->object_type == DRM_ER_LC)
- return 0;
-#endif
-
if (hDecoder->object_type >= ER_OBJECT_START)
{
if (ics->tns_data_present)
tns_data(ics, &(ics->tns), ld);
}
+#ifdef DRM
+ /* CRC check */
+ if (hDecoder->object_type == DRM_ER_LC)
+ if ((result = faad_check_CRC(ld, faad_get_processed_bits(ld) - 8)) > 0)
+ return result;
+#endif
+
if (hDecoder->aacSpectralDataResilienceFlag)
{
/* error resilient spectral data decoding */
@@ -1416,8 +1647,6 @@
/* decode intensity position */
t = huffman_scale_factor(ld);
- if (t < 0)
- return 9;
is_position += (t - 60);
ics->scale_factors[g][sfb] = is_position;
@@ -1432,8 +1661,6 @@
DEBUGVAR(1,73,"scale_factor_data(): first noise")) - 256;
} else {
t = huffman_scale_factor(ld);
- if (t < 0)
- return 9;
t -= 60;
}
noise_energy += t;
@@ -1442,12 +1669,14 @@
break;
default: /* spectral books */
+ /* ics->scale_factors[g][sfb] must be between 0 and 255 */
+
+ ics->scale_factors[g][sfb] = 0;
+
/* decode scale factor */
t = huffman_scale_factor(ld);
- if (t < 0)
- return 9;
scale_factor += (t - 60);
- if (scale_factor < 0)
+ if (scale_factor < 0 || scale_factor > 255)
return 4;
ics->scale_factors[g][sfb] = scale_factor;
@@ -1462,20 +1691,32 @@
/* Table 4.4.26 */
static uint8_t scale_factor_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld)
{
+ uint8_t ret = 0;
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
+
#ifdef ERROR_RESILIENCE
if (!hDecoder->aacScalefactorDataResilienceFlag)
{
#endif
- return decode_scale_factors(ics, ld);
+ ret = decode_scale_factors(ics, ld);
#ifdef ERROR_RESILIENCE
} else {
/* In ER AAC the parameters for RVLC are seperated from the actual
data that holds the scale_factors.
Strangely enough, 2 parameters for HCR are put inbetween them.
*/
- return rvlc_scale_factor_data(ics, ld);
+ ret = rvlc_scale_factor_data(ics, ld);
}
#endif
+
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ hDecoder->scalefac_cycles += count;
+#endif
+
+ return ret;
}
/* Table 4.4.27 */
@@ -1535,10 +1776,12 @@
#ifdef LTP_DEC
/* Table 4.4.28 */
-static void ltp_data(faacDecHandle hDecoder, ic_stream *ics, ltp_info *ltp, bitfile *ld)
+static uint8_t ltp_data(faacDecHandle hDecoder, ic_stream *ics, ltp_info *ltp, bitfile *ld)
{
uint8_t sfb, w;
+ ltp->lag = 0;
+
#ifdef LD_DEC
if (hDecoder->object_type == LD)
{
@@ -1557,6 +1800,11 @@
#ifdef LD_DEC
}
#endif
+
+ /* Check length of lag */
+ if (ltp->lag > (hDecoder->frameLength << 1))
+ return 18;
+
ltp->coef = (uint8_t)faad_getbits(ld, 3
DEBUGVAR(1,82,"ltp_data(): coef"));
@@ -1585,6 +1833,8 @@
DEBUGVAR(1,86,"ltp_data(): long_used"));
}
}
+
+ return 0;
}
#endif
@@ -1594,15 +1844,15 @@
{
int8_t i;
uint8_t g;
- int16_t *sp;
- uint16_t k, p = 0;
+ uint16_t inc, k, p = 0;
uint8_t groups = 0;
uint8_t sect_cb;
uint8_t result;
uint16_t nshort = hDecoder->frameLength/8;
- sp = spectral_data;
- memset(sp, 0, hDecoder->frameLength*sizeof(int16_t));
+#ifdef PROFILE
+ int64_t count = faad_get_ts();
+#endif
for(g = 0; g < ics->num_window_groups; g++)
{
@@ -1612,6 +1862,8 @@
{
sect_cb = ics->sect_cb[g][i];
+ inc = (sect_cb >= FIRST_PAIR_HCB) ? 2 : 4;
+
switch (sect_cb)
{
case ZERO_HCB:
@@ -1623,18 +1875,11 @@
break;
default:
for (k = ics->sect_sfb_offset[g][ics->sect_start[g][i]];
- k < ics->sect_sfb_offset[g][ics->sect_end[g][i]]; k += 4)
+ k < ics->sect_sfb_offset[g][ics->sect_end[g][i]]; k += inc)
{
- sp = spectral_data + p;
-
- if ((result = huffman_spectral_data(sect_cb, ld, sp)) > 0)
- return result;
- if (sect_cb >= FIRST_PAIR_HCB)
- {
- if ((result = huffman_spectral_data(sect_cb, ld, sp+2)) > 0)
- return result;
- }
- p += 4;
+ if ((result = huffman_spectral_data(sect_cb, ld, &spectral_data[p])) > 0)
+ return result;
+ p += inc;
}
break;
}
@@ -1642,6 +1887,11 @@
groups += ics->window_group_length[g];
}
+#ifdef PROFILE
+ count = faad_get_ts() - count;
+ hDecoder->spectral_cycles += count;
+#endif
+
return 0;
}
@@ -1671,7 +1921,7 @@
}
return count;
case EXT_DATA_ELEMENT:
- data_element_version = faad_getbits(ld, 4
+ data_element_version = (uint8_t)faad_getbits(ld, 4
DEBUGVAR(1,400,"extension_payload(): data_element_version"));
switch (data_element_version)
{
@@ -1679,7 +1929,7 @@
loopCounter = 0;
dataElementLength = 0;
do {
- dataElementLengthPart = faad_getbits(ld, 8
+ dataElementLengthPart = (uint8_t)faad_getbits(ld, 8
DEBUGVAR(1,401,"extension_payload(): dataElementLengthPart"));
dataElementLength += dataElementLengthPart;
loopCounter++;
@@ -1909,11 +2159,11 @@
if (adts->old_format == 1)
{
/* Removed in corrigendum 14496-3:2002 */
- if (adts->id == 0)
- {
- adts->emphasis = (uint8_t)faad_getbits(ld, 2
- DEBUGVAR(1,128,"adts_fixed_header(): emphasis"));
- }
+ if (adts->id == 0)
+ {
+ adts->emphasis = (uint8_t)faad_getbits(ld, 2
+ DEBUGVAR(1,128,"adts_fixed_header(): emphasis"));
+ }
}
return 0;
Index: syntax.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/syntax.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- syntax.h 3 Oct 2003 22:22:27 -0000 1.2
+++ syntax.h 2 Jun 2004 22:59:04 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -33,7 +33,6 @@
#endif
#include "decoder.h"
-#include "drc.h"
#include "bits.h"
#define MAIN 1
@@ -104,51 +103,17 @@
#define INTENSITY_HCB2 14
#define INTENSITY_HCB 15
+#define INVALID_SBR_ELEMENT 255
+
int8_t GASpecificConfig(bitfile *ld, mp4AudioSpecificConfig *mp4ASC,
program_config *pce);
uint8_t adts_frame(adts_header *adts, bitfile *ld);
void get_adif_header(adif_header *adif, bitfile *ld);
-
-
-/* static functions */
-static uint8_t single_lfe_channel_element(faacDecHandle hDecoder,
- element *sce, bitfile *ld,
- real_t *spec_coef);
-static uint8_t channel_pair_element(faacDecHandle hDecoder, element *cpe,
- bitfile *ld,
- real_t *spec_coef1, real_t *spec_coef2);
-static uint8_t coupling_channel_element(faacDecHandle hDecoder, bitfile *ld);
-static uint16_t data_stream_element(faacDecHandle hDecoder, bitfile *ld);
-static uint8_t program_config_element(program_config *pce, bitfile *ld);
-static uint8_t fill_element(faacDecHandle hDecoder, bitfile *ld, drc_info *drc
-#ifdef SBR_DEC
- ,uint8_t sbr_ele
-#endif
- );
-static uint8_t individual_channel_stream(faacDecHandle hDecoder, element *ele,
- bitfile *ld, ic_stream *ics, uint8_t scal_flag,
- int16_t *spec_data);
-static uint8_t ics_info(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld,
- uint8_t common_window);
-static uint8_t section_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld);
-static uint8_t scale_factor_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld);
-static void gain_control_data(bitfile *ld, ic_stream *ics);
-static uint8_t spectral_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld,
- int16_t *spectral_data);
-static uint16_t extension_payload(bitfile *ld, drc_info *drc, uint16_t count);
-#ifdef ERROR_RESILIENCE
-uint8_t reordered_spectral_data(faacDecHandle hDecoder, ic_stream *ics,
- bitfile *ld, int16_t *spectral_data);
-#endif
-static uint8_t pulse_data(ic_stream *ics, pulse_info *pul, bitfile *ld);
-static void tns_data(ic_stream *ics, tns_info *tns, bitfile *ld);
-static void ltp_data(faacDecHandle hDecoder, ic_stream *ics, ltp_info *ltp, bitfile *ld);
-static uint8_t adts_fixed_header(adts_header *adts, bitfile *ld);
-static void adts_variable_header(adts_header *adts, bitfile *ld);
-static void adts_error_check(adts_header *adts, bitfile *ld);
-static uint8_t dynamic_range_info(bitfile *ld, drc_info *drc);
-static uint8_t excluded_channels(bitfile *ld, drc_info *drc);
+void raw_data_block(faacDecHandle hDecoder, faacDecFrameInfo *hInfo,
+ bitfile *ld, program_config *pce, drc_info *drc);
+uint8_t reordered_spectral_data(faacDecHandle hDecoder, ic_stream *ics, bitfile *ld,
+ int16_t *spectral_data);
#ifdef __cplusplus
Index: tns.c
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/tns.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- tns.c 3 Oct 2003 22:22:27 -0000 1.2
+++ tns.c 2 Jun 2004 22:59:04 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -31,6 +31,16 @@
#include "syntax.h"
#include "tns.h"
+
+/* static function declarations */
+static void tns_decode_coef(uint8_t order, uint8_t coef_res_bits, uint8_t coef_compress,
+ uint8_t *coef, real_t *a);
+static void tns_ar_filter(real_t *spectrum, uint16_t size, int8_t inc, real_t *lpc,
+ uint8_t order);
+static void tns_ma_filter(real_t *spectrum, uint16_t size, int8_t inc, real_t *lpc,
+ uint8_t order);
+
+
#ifdef _MSC_VER
#pragma warning(disable:4305)
#pragma warning(disable:4244)
@@ -71,7 +81,8 @@
{
uint8_t w, f, tns_order;
int8_t inc;
- uint16_t bottom, top, start, end, size;
+ int16_t size;
+ uint16_t bottom, top, start, end;
uint16_t nshort = frame_len/8;
real_t lpc[TNS_MAX_ORDER+1];
@@ -93,10 +104,16 @@
tns_decode_coef(tns_order, tns->coef_res[w]+3,
tns->coef_compress[w][f], tns->coef[w][f], lpc);
- start = ics->swb_offset[min(bottom, ics->max_sfb)];
- end = ics->swb_offset[min(top, ics->max_sfb)];
+ start = min(bottom, max_tns_sfb(sr_index, object_type, (ics->window_sequence == EIGHT_SHORT_SEQUENCE)));
+ start = min(start, ics->max_sfb);
+ start = ics->swb_offset[start];
+
+ end = min(top, max_tns_sfb(sr_index, object_type, (ics->window_sequence == EIGHT_SHORT_SEQUENCE)));
+ end = min(end, ics->max_sfb);
+ end = ics->swb_offset[end];
- if ((size = end - start) <= 0)
+ size = end - start;
+ if (size <= 0)
continue;
if (tns->direction[w][f])
@@ -118,7 +135,8 @@
{
uint8_t w, f, tns_order;
int8_t inc;
- uint16_t bottom, top, start, end, size;
+ int16_t size;
+ uint16_t bottom, top, start, end;
uint16_t nshort = frame_len/8;
real_t lpc[TNS_MAX_ORDER+1];
@@ -140,10 +158,16 @@
tns_decode_coef(tns_order, tns->coef_res[w]+3,
tns->coef_compress[w][f], tns->coef[w][f], lpc);
- start = ics->swb_offset[min(bottom, ics->max_sfb)];
- end = ics->swb_offset[min(top, ics->max_sfb)];
+ start = min(bottom, max_tns_sfb(sr_index, object_type, (ics->window_sequence == EIGHT_SHORT_SEQUENCE)));
+ start = min(start, ics->max_sfb);
+ start = ics->swb_offset[start];
+
+ end = min(top, max_tns_sfb(sr_index, object_type, (ics->window_sequence == EIGHT_SHORT_SEQUENCE)));
+ end = min(end, ics->max_sfb);
+ end = ics->swb_offset[end];
- if ((size = end - start) <= 0)
+ size = end - start;
+ if (size <= 0)
continue;
if (tns->direction[w][f])
@@ -192,7 +216,7 @@
for (m = 1; m <= order; m++)
{
for (i = 1; i < m; i++) /* loop only while i<m */
- b[i] = a[i] + MUL_C_C(tmp2[m-1], a[m-i]);
+ b[i] = a[i] + MUL_C(tmp2[m-1], a[m-i]);
for (i = 1; i < m; i++) /* loop only while i<m */
a[i] = b[i];
@@ -225,7 +249,7 @@
y = *spectrum;
for (j = 0; j < order; j++)
- y -= MUL_R_C(state[j], lpc[j+1]);
+ y -= MUL_C(state[j], lpc[j+1]);
for (j = order-1; j > 0; j--)
state[j] = state[j-1];
@@ -260,7 +284,7 @@
y = *spectrum;
for (j = 0; j < order; j++)
- y += MUL_R_C(state[j], lpc[j+1]);
+ y += MUL_C(state[j], lpc[j+1]);
for (j = order-1; j > 0; j--)
state[j] = state[j-1];
Index: tns.h
===================================================================
RCS file: /cvsroot/mplayer/main/libfaad2/tns.h,v
retrieving revision 1.2
retrieving revision 1.3
diff -u -r1.2 -r1.3
--- tns.h 3 Oct 2003 22:22:27 -0000 1.2
+++ tns.h 2 Jun 2004 22:59:04 -0000 1.3
@@ -1,6 +1,6 @@
/*
** FAAD2 - Freeware Advanced Audio (AAC) Decoder including SBR decoding
-** Copyright (C) 2003 M. Bakker, Ahead Software AG, http://www.nero.com
+** Copyright (C) 2003-2004 M. Bakker, Ahead Software AG, http://www.nero.com
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
@@ -41,13 +41,6 @@
void tns_encode_frame(ic_stream *ics, tns_info *tns, uint8_t sr_index,
uint8_t object_type, real_t *spec, uint16_t frame_len);
-static void tns_decode_coef(uint8_t order, uint8_t coef_res_bits, uint8_t coef_compress,
- uint8_t *coef, real_t *a);
-static void tns_ar_filter(real_t *spectrum, uint16_t size, int8_t inc, real_t *lpc,
- uint8_t order);
-static void tns_ma_filter(real_t *spectrum, uint16_t size, int8_t inc, real_t *lpc,
- uint8_t order);
-
#ifdef __cplusplus
}
--- config.h DELETED ---
--- dither.c DELETED ---
--- dither.h DELETED ---
More information about the MPlayer-cvslog
mailing list