[FFmpeg-devel] [PATCH] libavutil: Make changes in softfloat needed for fixed point aac decoder.
Nedeljko Babic
nedeljko.babic at imgtec.com
Fri Apr 24 12:18:10 CEST 2015
From: Djordje Pesut <djordje.pesut at imgtec.com>
Functions for sqrt and sincos are added.
Div function is improved.
Some changes are made in order for code in softfloat to be usable in fixed aac
decoder code.
This doesn't create any impact on current ffmpeg code since softfloat is
currently not in use and this way we don't need to make much changes in
implementation of aac fixed point decoder that uses this code.
Softfloat tests are adjusted.
Signed-off-by: Nedeljko Babic <nedeljko.babic at imgtec.com>
---
libavutil/softfloat.c | 6 +-
libavutil/softfloat.h | 157 +++++++++++++++++++++--
libavutil/softfloat_tables.h | 294 +++++++++++++++++++++++++++++++++++++++++++
3 files changed, 447 insertions(+), 10 deletions(-)
create mode 100644 libavutil/softfloat_tables.h
diff --git a/libavutil/softfloat.c b/libavutil/softfloat.c
index bf9cfda..2583636 100644
--- a/libavutil/softfloat.c
+++ b/libavutil/softfloat.c
@@ -27,7 +27,7 @@
#undef printf
int main(void){
- SoftFloat one= av_int2sf(1, 0);
+ SoftFloat one= av_int2sf(1, -1);
SoftFloat sf1, sf2;
double d1, d2;
int i, j;
@@ -59,8 +59,8 @@ int main(void){
for(i= 0; i<100; i++){
START_TIMER
- sf1= av_int2sf(i, 0);
- sf2= av_div_sf(av_int2sf(i, 2), av_int2sf(200, 3));
+ sf1= av_int2sf(i, -1);
+ sf2= av_div_sf(av_int2sf(i, 1), av_int2sf(200, 2));
for(j= 0; j<1000; j++){
sf1= av_mul_sf(av_add_sf(sf1, one),sf2);
}
diff --git a/libavutil/softfloat.h b/libavutil/softfloat.h
index 654a31f..b23cede 100644
--- a/libavutil/softfloat.h
+++ b/libavutil/softfloat.h
@@ -25,6 +25,7 @@
#include "common.h"
#include "avassert.h"
+#include "softfloat_tables.h"
#define MIN_EXP -126
#define MAX_EXP 126
@@ -35,6 +36,14 @@ typedef struct SoftFloat{
int32_t exp;
}SoftFloat;
+static const SoftFloat FLOAT_0 = { 0, 0};
+static const SoftFloat FLOAT_05 = { 0x20000000, 0};
+static const SoftFloat FLOAT_1 = { 0x20000000, 1};
+static const SoftFloat FLOAT_EPSILON = { 0x29F16B12, -16};
+static const SoftFloat FLOAT_1584893192 = { 0x32B771ED, 1};
+static const SoftFloat FLOAT_100000 = { 0x30D40000, 17};
+static const SoftFloat FLOAT_0999999 = { 0x3FFFFBCE, 0};
+
static av_const SoftFloat av_normalize_sf(SoftFloat a){
if(a.mant){
#if 1
@@ -83,7 +92,7 @@ static inline av_const SoftFloat av_mul_sf(SoftFloat a, SoftFloat b){
a.exp += b.exp;
av_assert2((int32_t)((a.mant * (int64_t)b.mant) >> ONE_BITS) == (a.mant * (int64_t)b.mant) >> ONE_BITS);
a.mant = (a.mant * (int64_t)b.mant) >> ONE_BITS;
- return av_normalize1_sf(a);
+ return av_normalize1_sf((SoftFloat){a.mant, a.exp - 1});
}
/**
@@ -91,7 +100,7 @@ static inline av_const SoftFloat av_mul_sf(SoftFloat a, SoftFloat b){
* @return Will not be more denormalized than a.
*/
static av_const SoftFloat av_div_sf(SoftFloat a, SoftFloat b){
- a.exp -= b.exp+1;
+ a.exp -= b.exp;
a.mant = ((int64_t)a.mant<<(ONE_BITS+1)) / b.mant;
return av_normalize1_sf(a);
}
@@ -102,11 +111,18 @@ static inline av_const int av_cmp_sf(SoftFloat a, SoftFloat b){
else return a.mant - (b.mant >> t);
}
+static inline av_const int av_gt_sf(SoftFloat a, SoftFloat b)
+{
+ int t= a.exp - b.exp;
+ if(t<0) return (a.mant >> (-t)) > b.mant ;
+ else return a.mant > (b.mant >> t);
+}
+
static inline av_const SoftFloat av_add_sf(SoftFloat a, SoftFloat b){
int t= a.exp - b.exp;
- if (t <-31) return b;
- else if (t < 0) return av_normalize1_sf((SoftFloat){b.mant + (a.mant >> (-t)), b.exp});
- else if (t < 32) return av_normalize1_sf((SoftFloat){a.mant + (b.mant >> t ), a.exp});
+ if (t <=-31) return b;
+ else if (t < 0) return av_normalize_sf(av_normalize1_sf((SoftFloat){ b.mant + (a.mant >> (-t)), b.exp}));
+ else if (t < 32) return av_normalize_sf(av_normalize1_sf((SoftFloat){ a.mant + (b.mant >> t ), a.exp}));
else return a;
}
@@ -114,7 +130,51 @@ static inline av_const SoftFloat av_sub_sf(SoftFloat a, SoftFloat b){
return av_add_sf(a, (SoftFloat){ -b.mant, b.exp});
}
-//FIXME sqrt, log, exp, pow, sin, cos
+static inline av_const SoftFloat av_recip_sf(SoftFloat a)
+{
+ int s = a.mant >> 31;
+
+ a.exp = 1 - a.exp;
+ a.mant = (a.mant ^ s) - s;
+ a.mant = av_divtbl_sf[(a.mant - 0x20000000) >> 22];
+ a.mant = (a.mant ^ s) - s;
+
+ return a;
+}
+
+/**
+ * This function uses Newton iteration to speed up division, but the cost is
+ * in that it is not exact.
+ * There is one to two bit deviation in LSB of mantisa in about 20% of results.
+ */
+
+static SoftFloat av_div_sf_approx(SoftFloat a, SoftFloat b){
+ SoftFloat res;
+ SoftFloat iB, tmp;
+
+ if (b.mant != 0)
+ {
+ iB = av_recip_sf(b);
+ /* Newton iteration to double precision */
+ tmp = av_sub_sf(FLOAT_1, av_mul_sf(b, iB));
+ iB = av_add_sf(iB, av_mul_sf(iB, tmp));
+ tmp = av_sub_sf(FLOAT_1, av_mul_sf(b, iB));
+ iB = av_add_sf(iB, av_mul_sf(iB, tmp));
+ tmp = av_sub_sf(FLOAT_1, av_mul_sf(b, iB));
+ iB = av_add_sf(iB, av_mul_sf(iB, tmp));
+ res = av_mul_sf(a, iB);
+ }
+ else
+ {
+ /* handle division-by-zero */
+ res.mant = 1;
+ res.exp = 0x7FFFFFFF;
+ }
+
+ return res;
+}
+
+//FIXME log, exp, pow
static inline av_const SoftFloat av_int2sf(int v, int frac_bits){
return av_normalize_sf((SoftFloat){v, ONE_BITS-frac_bits});
@@ -124,9 +184,92 @@ static inline av_const SoftFloat av_int2sf(int v, int frac_bits){
* Rounding is to -inf.
*/
static inline av_const int av_sf2int(SoftFloat v, int frac_bits){
- v.exp += frac_bits - ONE_BITS;
+ v.exp -= (ONE_BITS + 1 - frac_bits);
if(v.exp >= 0) return v.mant << v.exp ;
else return v.mant >>(-v.exp);
}
+/**
+ * Rounding-to-nearest used.
+ */
+static av_always_inline SoftFloat av_sqrt_sf(SoftFloat val)
+{
+ int tabIndex, rem;
+
+ if (val.mant == 0)
+ val.exp = 0;
+ else
+ {
+ tabIndex = (val.mant - 0x20000000) >> 20;
+
+ rem = val.mant & 0xFFFFF;
+ val.mant = (int)(((int64_t)av_sqrttbl_sf[tabIndex] * (0x100000 - rem) +
+ (int64_t)av_sqrttbl_sf[tabIndex + 1] * rem +
+ 0x80000) >> 20);
+ val.mant = (int)(((int64_t)av_sqr_exp_multbl_sf[val.exp & 1] * val.mant +
+ 0x10000000) >> 29);
+
+ if (val.mant < 0x40000000)
+ val.exp -= 2;
+ else
+ val.mant >>= 1;
+
+ val.exp = (val.exp >> 1) + 1;
+ }
+
+ return val;
+}
+
+/**
+ * Rounding-to-nearest used.
+ */
+static av_always_inline void av_sincos_sf(int a, int *s, int *c)
+{
+ int idx, sign;
+ int sv, cv;
+ int st, ct;
+
+ idx = a >> 26;
+ sign = (idx << 27) >> 31;
+ cv = av_costbl_1_sf[idx & 0xf];
+ cv = (cv ^ sign) - sign;
+
+ idx -= 8;
+ sign = (idx << 27) >> 31;
+ sv = av_costbl_1_sf[idx & 0xf];
+ sv = (sv ^ sign) - sign;
+
+ idx = a >> 21;
+ ct = av_costbl_2_sf[idx & 0x1f];
+ st = av_sintbl_2_sf[idx & 0x1f];
+
+ idx = (int)(((int64_t)cv * ct - (int64_t)sv * st + 0x20000000) >> 30);
+
+ sv = (int)(((int64_t)cv * st + (int64_t)sv * ct + 0x20000000) >> 30);
+
+ cv = idx;
+
+ idx = a >> 16;
+ ct = av_costbl_3_sf[idx & 0x1f];
+ st = av_sintbl_3_sf[idx & 0x1f];
+
+ idx = (int)(((int64_t)cv * ct - (int64_t)sv * st + 0x20000000) >> 30);
+
+ sv = (int)(((int64_t)cv * st + (int64_t)sv * ct + 0x20000000) >> 30);
+ cv = idx;
+
+ idx = a >> 11;
+
+ ct = (int)(((int64_t)av_costbl_4_sf[idx & 0x1f] * (0x800 - (a & 0x7ff)) +
+ (int64_t)av_costbl_4_sf[(idx & 0x1f)+1]*(a & 0x7ff) +
+ 0x400) >> 11);
+ st = (int)(((int64_t)av_sintbl_4_sf[idx & 0x1f] * (0x800 - (a & 0x7ff)) +
+ (int64_t)av_sintbl_4_sf[(idx & 0x1f) + 1] * (a & 0x7ff) +
+ 0x400) >> 11);
+
+ *c = (int)(((int64_t)cv * ct + (int64_t)sv * st + 0x20000000) >> 30);
+
+ *s = (int)(((int64_t)cv * st + (int64_t)sv * ct + 0x20000000) >> 30);
+}
+
#endif /* AVUTIL_SOFTFLOAT_H */
diff --git a/libavutil/softfloat_tables.h b/libavutil/softfloat_tables.h
new file mode 100644
index 0000000..864332b
--- /dev/null
+++ b/libavutil/softfloat_tables.h
@@ -0,0 +1,294 @@
+/*
+ * Copyright (c) 2012
+ * MIPS Technologies, Inc., California.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. Neither the name of the MIPS Technologies, Inc., nor the names of is
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE MIPS TECHNOLOGIES, INC. ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE MIPS TECHNOLOGIES, INC. BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * Author: Stanislav Ocovaj (stanislav.ocovaj imgtec com)
+ *
+ * This file is part of FFmpeg.
+ *
+ * FFmpeg is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * FFmpeg 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
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with FFmpeg; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ */
+#ifndef AVUTIL_SOFTFLOAT_TABLES_H
+#define AVUTIL_SOFTFLOAT_TABLES_H
+static const int av_divtbl_sf[128] = {
+ 0x3fffffff,0x3f80fe04,0x3f03f03f,0x3e88cb3d,
+ 0x3e0f83e1,0x3d980f66,0x3d226358,0x3cae7592,
+ 0x3c3c3c3c,0x3bcbadc8,0x3b5cc0ed,0x3aef6ca9,
+ 0x3a83a83b,0x3a196b1f,0x39b0ad12,0x3949660b,
+ 0x38e38e39,0x387f1e04,0x381c0e07,0x37ba5713,
+ 0x3759f22a,0x36fad87c,0x369d036a,0x36406c81,
+ 0x35e50d7a,0x358ae035,0x3531dec1,0x34da034e,
+ 0x34834834,0x342da7f3,0x33d91d2a,0x3385a29e,
+ 0x33333333,0x32e1c9f0,0x329161f9,0x3241f694,
+ 0x31f3831f,0x31a6031b,0x3159721f,0x310dcbe1,
+ 0x30c30c31,0x30792ef5,0x30303030,0x2fe80bfa,
+ 0x2fa0be83,0x2f5a4412,0x2f149903,0x2ecfb9c8,
+ 0x2e8ba2e9,0x2e4850ff,0x2e05c0b8,0x2dc3eed7,
+ 0x2d82d82d,0x2d4279a2,0x2d02d02d,0x2cc3d8d5,
+ 0x2c8590b2,0x2c47f4ee,0x2c0b02c0,0x2bceb772,
+ 0x2b931057,0x2b580ad6,0x2b1da461,0x2ae3da78,
+ 0x2aaaaaaa,0x2a721292,0x2a3a0fd6,0x2a02a02a,
+ 0x29cbc14e,0x2995710f,0x295fad40,0x292a73c8,
+ 0x28f5c28f,0x28c19790,0x288df0cb,0x285acc4c,
+ 0x28282828,0x27f6027f,0x27c4597a,0x27932b49,
+ 0x27627628,0x27323858,0x27027027,0x26d31be8,
+ 0x26a439f7,0x2675c8b7,0x2647c695,0x261a3202,
+ 0x25ed097b,0x25c04b81,0x2593f69b,0x2568095a,
+ 0x253c8254,0x25116025,0x24e6a171,0x24bc44e1,
+ 0x24924925,0x2468acf1,0x243f6f02,0x24168e19,
+ 0x23ee08fc,0x23c5de77,0x239e0d5b,0x23769481,
+ 0x234f72c2,0x2328a701,0x23023023,0x22dc0d12,
+ 0x22b63cbf,0x2290be1c,0x226b9022,0x2246b1ce,
+ 0x22222222,0x21fde022,0x21d9ead8,0x21b64151,
+ 0x2192e2a0,0x216fcdd9,0x214d0215,0x212a7e72,
+ 0x21084210,0x20e64c14,0x20c49ba6,0x20a32ff0,
+ 0x20820820,0x2061236a,0x20408102,0x20202020,
+};
+
+static const int32_t av_sqrttbl_sf[512+1] = { /* sqrt(x), 0.5<=x<1 */
+ 0x2d413ccd,0x2d4c8bb3,0x2d57d7c6,0x2d63210a,
+ 0x2d6e677f,0x2d79ab2a,0x2d84ec0b,0x2d902a23,
+ 0x2d9b6578,0x2da69e08,0x2db1d3d6,0x2dbd06e6,
+ 0x2dc83738,0x2dd364ce,0x2dde8fac,0x2de9b7d2,
+ 0x2df4dd43,0x2e000000,0x2e0b200c,0x2e163d68,
+ 0x2e215816,0x2e2c701a,0x2e378573,0x2e429824,
+ 0x2e4da830,0x2e58b598,0x2e63c05d,0x2e6ec883,
+ 0x2e79ce0a,0x2e84d0f5,0x2e8fd144,0x2e9acefb,
+ 0x2ea5ca1b,0x2eb0c2a7,0x2ebbb89e,0x2ec6ac04,
+ 0x2ed19cda,0x2edc8b23,0x2ee776df,0x2ef26012,
+ 0x2efd46bb,0x2f082add,0x2f130c7b,0x2f1deb95,
+ 0x2f28c82e,0x2f33a246,0x2f3e79e1,0x2f494eff,
+ 0x2f5421a3,0x2f5ef1ce,0x2f69bf81,0x2f748abe,
+ 0x2f7f5388,0x2f8a19e0,0x2f94ddc7,0x2f9f9f3e,
+ 0x2faa5e48,0x2fb51ae8,0x2fbfd51c,0x2fca8ce9,
+ 0x2fd5424e,0x2fdff54e,0x2feaa5eb,0x2ff55426,
+ 0x30000000,0x300aa97b,0x3015509a,0x301ff55c,
+ 0x302a97c5,0x303537d5,0x303fd58e,0x304a70f2,
+ 0x30550a01,0x305fa0be,0x306a352a,0x3074c747,
+ 0x307f5716,0x3089e499,0x30946fd2,0x309ef8c0,
+ 0x30a97f67,0x30b403c7,0x30be85e2,0x30c905bb,
+ 0x30d38351,0x30ddfea6,0x30e877bc,0x30f2ee96,
+ 0x30fd6332,0x3107d594,0x311245bc,0x311cb3ad,
+ 0x31271f67,0x313188ec,0x313bf03d,0x3146555c,
+ 0x3150b84a,0x315b1909,0x31657798,0x316fd3fc,
+ 0x317a2e34,0x31848642,0x318edc28,0x31992fe5,
+ 0x31a3817d,0x31add0f0,0x31b81e40,0x31c2696e,
+ 0x31ccb27b,0x31d6f969,0x31e13e38,0x31eb80eb,
+ 0x31f5c182,0x32000000,0x320a3c65,0x321476b1,
+ 0x321eaee8,0x3228e50a,0x32331917,0x323d4b13,
+ 0x32477afc,0x3251a8d6,0x325bd4a2,0x3265fe5f,
+ 0x32702611,0x327a4bb8,0x32846f55,0x328e90e9,
+ 0x3298b076,0x32a2cdfd,0x32ace97e,0x32b702fd,
+ 0x32c11a79,0x32cb2ff3,0x32d5436d,0x32df54e9,
+ 0x32e96466,0x32f371e8,0x32fd7d6d,0x330786f9,
+ 0x33118e8c,0x331b9426,0x332597cb,0x332f9979,
+ 0x33399933,0x334396fa,0x334d92cf,0x33578cb2,
+ 0x336184a6,0x336b7aab,0x33756ec3,0x337f60ed,
+ 0x3389512d,0x33933f83,0x339d2bef,0x33a71672,
+ 0x33b0ff10,0x33bae5c7,0x33c4ca99,0x33cead88,
+ 0x33d88e95,0x33e26dbf,0x33ec4b09,0x33f62673,
+ 0x34000000,0x3409d7af,0x3413ad82,0x341d817a,
+ 0x34275397,0x343123db,0x343af248,0x3444bedd,
+ 0x344e899d,0x34585288,0x3462199f,0x346bdee3,
+ 0x3475a254,0x347f63f5,0x348923c6,0x3492e1c9,
+ 0x349c9dfe,0x34a65865,0x34b01101,0x34b9c7d2,
+ 0x34c37cda,0x34cd3018,0x34d6e18f,0x34e0913f,
+ 0x34ea3f29,0x34f3eb4d,0x34fd95ae,0x35073e4c,
+ 0x3510e528,0x351a8a43,0x35242d9d,0x352dcf39,
+ 0x35376f16,0x35410d36,0x354aa99a,0x35544442,
+ 0x355ddd2f,0x35677463,0x357109df,0x357a9da2,
+ 0x35842fb0,0x358dc007,0x35974ea9,0x35a0db98,
+ 0x35aa66d3,0x35b3f05c,0x35bd7833,0x35c6fe5a,
+ 0x35d082d3,0x35da059c,0x35e386b7,0x35ed0626,
+ 0x35f683e8,0x36000000,0x36097a6e,0x3612f331,
+ 0x361c6a4d,0x3625dfc1,0x362f538f,0x3638c5b7,
+ 0x36423639,0x364ba518,0x36551252,0x365e7deb,
+ 0x3667e7e2,0x36715039,0x367ab6f0,0x36841c07,
+ 0x368d7f81,0x3696e15d,0x36a0419d,0x36a9a040,
+ 0x36b2fd49,0x36bc58b8,0x36c5b28e,0x36cf0acb,
+ 0x36d86170,0x36e1b680,0x36eb09f8,0x36f45bdc,
+ 0x36fdac2b,0x3706fae7,0x37104810,0x371993a7,
+ 0x3722ddad,0x372c2622,0x37356d08,0x373eb25f,
+ 0x3747f629,0x37513865,0x375a7914,0x3763b838,
+ 0x376cf5d0,0x377631e0,0x377f6c64,0x3788a561,
+ 0x3791dcd6,0x379b12c4,0x37a4472c,0x37ad7a0e,
+ 0x37b6ab6a,0x37bfdb44,0x37c90999,0x37d2366d,
+ 0x37db61be,0x37e48b8e,0x37edb3de,0x37f6daae,
+ 0x38000000,0x380923d3,0x3812462a,0x381b6703,
+ 0x38248660,0x382da442,0x3836c0aa,0x383fdb97,
+ 0x3848f50c,0x38520d09,0x385b238d,0x3864389b,
+ 0x386d4c33,0x38765e55,0x387f6f01,0x38887e3b,
+ 0x38918c00,0x389a9853,0x38a3a334,0x38acaca3,
+ 0x38b5b4a3,0x38bebb32,0x38c7c051,0x38d0c402,
+ 0x38d9c645,0x38e2c71b,0x38ebc685,0x38f4c482,
+ 0x38fdc114,0x3906bc3c,0x390fb5fa,0x3918ae4f,
+ 0x3921a53a,0x392a9abe,0x39338edb,0x393c8192,
+ 0x394572e2,0x394e62ce,0x39575155,0x39603e77,
+ 0x39692a36,0x39721494,0x397afd8f,0x3983e527,
+ 0x398ccb60,0x3995b039,0x399e93b2,0x39a775cc,
+ 0x39b05689,0x39b935e8,0x39c213e9,0x39caf08e,
+ 0x39d3cbd9,0x39dca5c7,0x39e57e5b,0x39ee5596,
+ 0x39f72b77,0x3a000000,0x3a08d331,0x3a11a50a,
+ 0x3a1a758d,0x3a2344ba,0x3a2c1291,0x3a34df13,
+ 0x3a3daa41,0x3a46741b,0x3a4f3ca3,0x3a5803d7,
+ 0x3a60c9ba,0x3a698e4b,0x3a72518b,0x3a7b137c,
+ 0x3a83d41d,0x3a8c936f,0x3a955173,0x3a9e0e29,
+ 0x3aa6c992,0x3aaf83ae,0x3ab83c7e,0x3ac0f403,
+ 0x3ac9aa3c,0x3ad25f2c,0x3adb12d1,0x3ae3c52d,
+ 0x3aec7642,0x3af5260e,0x3afdd492,0x3b0681d0,
+ 0x3b0f2dc6,0x3b17d878,0x3b2081e4,0x3b292a0c,
+ 0x3b31d0f0,0x3b3a7690,0x3b431aec,0x3b4bbe06,
+ 0x3b545fdf,0x3b5d0077,0x3b659fcd,0x3b6e3de4,
+ 0x3b76daba,0x3b7f7651,0x3b8810aa,0x3b90a9c4,
+ 0x3b9941a1,0x3ba1d842,0x3baa6da5,0x3bb301cd,
+ 0x3bbb94b9,0x3bc4266a,0x3bccb6e2,0x3bd5461f,
+ 0x3bddd423,0x3be660ee,0x3beeec81,0x3bf776dc,
+ 0x3c000000,0x3c0887ed,0x3c110ea4,0x3c199426,
+ 0x3c221872,0x3c2a9b8a,0x3c331d6e,0x3c3b9e1d,
+ 0x3c441d9a,0x3c4c9be5,0x3c5518fd,0x3c5d94e3,
+ 0x3c660f98,0x3c6e891d,0x3c770172,0x3c7f7898,
+ 0x3c87ee8e,0x3c906356,0x3c98d6ef,0x3ca1495b,
+ 0x3ca9ba9a,0x3cb22aac,0x3cba9992,0x3cc3074c,
+ 0x3ccb73dc,0x3cd3df41,0x3cdc497b,0x3ce4b28c,
+ 0x3ced1a73,0x3cf58132,0x3cfde6c8,0x3d064b37,
+ 0x3d0eae7f,0x3d17109f,0x3d1f719a,0x3d27d16e,
+ 0x3d30301d,0x3d388da8,0x3d40ea0d,0x3d49454f,
+ 0x3d519f6d,0x3d59f867,0x3d625040,0x3d6aa6f6,
+ 0x3d72fc8b,0x3d7b50fe,0x3d83a451,0x3d8bf683,
+ 0x3d944796,0x3d9c9788,0x3da4e65c,0x3dad3412,
+ 0x3db580a9,0x3dbdcc24,0x3dc61680,0x3dce5fc0,
+ 0x3dd6a7e4,0x3ddeeeed,0x3de734d9,0x3def79ab,
+ 0x3df7bd62,0x3e000000,0x3e084184,0x3e1081ee,
+ 0x3e18c140,0x3e20ff7a,0x3e293c9c,0x3e3178a7,
+ 0x3e39b39a,0x3e41ed77,0x3e4a263d,0x3e525def,
+ 0x3e5a948b,0x3e62ca12,0x3e6afe85,0x3e7331e4,
+ 0x3e7b642f,0x3e839567,0x3e8bc58c,0x3e93f49f,
+ 0x3e9c22a1,0x3ea44f91,0x3eac7b6f,0x3eb4a63e,
+ 0x3ebccffb,0x3ec4f8aa,0x3ecd2049,0x3ed546d9,
+ 0x3edd6c5a,0x3ee590cd,0x3eedb433,0x3ef5d68c,
+ 0x3efdf7d7,0x3f061816,0x3f0e3749,0x3f165570,
+ 0x3f1e728c,0x3f268e9d,0x3f2ea9a4,0x3f36c3a0,
+ 0x3f3edc93,0x3f46f47c,0x3f4f0b5d,0x3f572135,
+ 0x3f5f3606,0x3f6749cf,0x3f6f5c90,0x3f776e4a,
+ 0x3f7f7efe,0x3f878eab,0x3f8f9d53,0x3f97aaf6,
+ 0x3f9fb793,0x3fa7c32c,0x3fafcdc1,0x3fb7d752,
+ 0x3fbfdfe0,0x3fc7e76b,0x3fcfedf3,0x3fd7f378,
+ 0x3fdff7fc,0x3fe7fb7f,0x3feffe00,0x3ff7ff80,
+ 0x3fffffff,
+};
+
+static const int32_t av_sqr_exp_multbl_sf[2] = {
+ 0x20000000,0x2d413ccd,
+};
+
+static const int32_t av_costbl_1_sf[16] = {
+ 0x40000000,0x3ec52fa0,0x3b20d79e,0x3536cc52,
+ 0x2d413ccd,0x238e7673,0x187de2a7,0x0c7c5c1e,
+ 0x00000000,0xf383a3e3,0xe7821d5a,0xdc71898e,
+ 0xd2bec334,0xcac933af,0xc4df2863,0xc13ad061,
+};
+
+static const int32_t av_costbl_2_sf[32] = {
+ 0x40000000,0x3fffb10b,0x3ffec42d,0x3ffd3969,
+ 0x3ffb10c1,0x3ff84a3c,0x3ff4e5e0,0x3ff0e3b6,
+ 0x3fec43c7,0x3fe7061f,0x3fe12acb,0x3fdab1d9,
+ 0x3fd39b5a,0x3fcbe75e,0x3fc395f9,0x3fbaa740,
+ 0x3fb11b48,0x3fa6f228,0x3f9c2bfb,0x3f90c8da,
+ 0x3f84c8e2,0x3f782c30,0x3f6af2e3,0x3f5d1d1d,
+ 0x3f4eaafe,0x3f3f9cab,0x3f2ff24a,0x3f1fabff,
+ 0x3f0ec9f5,0x3efd4c54,0x3eeb3347,0x3ed87efc,
+};
+
+static const int32_t av_sintbl_2_sf[32] = {
+ 0x00000000,0x006487c4,0x00c90e90,0x012d936c,
+ 0x0192155f,0x01f69373,0x025b0caf,0x02bf801a,
+ 0x0323ecbe,0x038851a2,0x03ecadcf,0x0451004d,
+ 0x04b54825,0x0519845e,0x057db403,0x05e1d61b,
+ 0x0645e9af,0x06a9edc9,0x070de172,0x0771c3b3,
+ 0x07d59396,0x08395024,0x089cf867,0x09008b6a,
+ 0x09640837,0x09c76dd8,0x0a2abb59,0x0a8defc3,
+ 0x0af10a22,0x0b540982,0x0bb6ecef,0x0c19b374,
+};
+
+static const int32_t av_costbl_3_sf[32] = {
+ 0x40000000,0x3fffffec,0x3fffffb1,0x3fffff4e,
+ 0x3ffffec4,0x3ffffe13,0x3ffffd39,0x3ffffc39,
+ 0x3ffffb11,0x3ffff9c1,0x3ffff84a,0x3ffff6ac,
+ 0x3ffff4e6,0x3ffff2f8,0x3ffff0e3,0x3fffeea7,
+ 0x3fffec43,0x3fffe9b7,0x3fffe705,0x3fffe42a,
+ 0x3fffe128,0x3fffddff,0x3fffdaae,0x3fffd736,
+ 0x3fffd396,0x3fffcfcf,0x3fffcbe0,0x3fffc7ca,
+ 0x3fffc38c,0x3fffbf27,0x3fffba9b,0x3fffb5e7,
+};
+
+static const int32_t av_sintbl_3_sf[32] = {
+ 0x00000000,0x0003243f,0x0006487f,0x00096cbe,
+ 0x000c90fe,0x000fb53d,0x0012d97c,0x0015fdbb,
+ 0x001921fb,0x001c463a,0x001f6a79,0x00228eb8,
+ 0x0025b2f7,0x0028d736,0x002bfb74,0x002f1fb3,
+ 0x003243f1,0x00356830,0x00388c6e,0x003bb0ac,
+ 0x003ed4ea,0x0041f928,0x00451d66,0x004841a3,
+ 0x004b65e1,0x004e8a1e,0x0051ae5b,0x0054d297,
+ 0x0057f6d4,0x005b1b10,0x005e3f4c,0x00616388,
+};
+
+static const int32_t av_costbl_4_sf[33] = {
+ 0x40000000,0x40000000,0x40000000,0x40000000,
+ 0x40000000,0x40000000,0x3fffffff,0x3fffffff,
+ 0x3fffffff,0x3ffffffe,0x3ffffffe,0x3ffffffe,
+ 0x3ffffffd,0x3ffffffd,0x3ffffffc,0x3ffffffc,
+ 0x3ffffffb,0x3ffffffa,0x3ffffffa,0x3ffffff9,
+ 0x3ffffff8,0x3ffffff7,0x3ffffff7,0x3ffffff6,
+ 0x3ffffff5,0x3ffffff4,0x3ffffff3,0x3ffffff2,
+ 0x3ffffff1,0x3ffffff0,0x3fffffef,0x3fffffed,
+ 0x3fffffec,
+};
+
+static const int32_t av_sintbl_4_sf[33] = {
+ 0x00000000,0x00001922,0x00003244,0x00004b66,
+ 0x00006488,0x00007daa,0x000096cc,0x0000afee,
+ 0x0000c910,0x0000e232,0x0000fb54,0x00011476,
+ 0x00012d98,0x000146ba,0x00015fdc,0x000178fe,
+ 0x00019220,0x0001ab42,0x0001c464,0x0001dd86,
+ 0x0001f6a8,0x00020fca,0x000228ec,0x0002420e,
+ 0x00025b30,0x00027452,0x00028d74,0x0002a696,
+ 0x0002bfb7,0x0002d8d9,0x0002f1fb,0x00030b1d,
+ 0x0003243f,
+};
+#endif /* AVUTIL_SOFTFLOAT_TABLES_H */
--
1.8.2.1
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