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Diffstat (limited to 'media/ffvpx/libavutil/libm.h')
| -rw-r--r-- | media/ffvpx/libavutil/libm.h | 471 |
1 files changed, 471 insertions, 0 deletions
diff --git a/media/ffvpx/libavutil/libm.h b/media/ffvpx/libavutil/libm.h new file mode 100644 index 000000000..a81996239 --- /dev/null +++ b/media/ffvpx/libavutil/libm.h @@ -0,0 +1,471 @@ +/* + * erf function: Copyright (c) 2006 John Maddock + * 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 + */ + +/** + * @file + * Replacements for frequently missing libm functions + */ + +#ifndef AVUTIL_LIBM_H +#define AVUTIL_LIBM_H + +#include <math.h> +#include "config.h" +#include "attributes.h" +#include "intfloat.h" +#include "mathematics.h" + +#if HAVE_MIPSFPU && HAVE_INLINE_ASM +#include "libavutil/mips/libm_mips.h" +#endif /* HAVE_MIPSFPU && HAVE_INLINE_ASM*/ + +#if !HAVE_ATANF +#undef atanf +#define atanf(x) ((float)atan(x)) +#endif /* HAVE_ATANF */ + +#if !HAVE_ATAN2F +#undef atan2f +#define atan2f(y, x) ((float)atan2(y, x)) +#endif /* HAVE_ATAN2F */ + +#if !HAVE_POWF +#undef powf +#define powf(x, y) ((float)pow(x, y)) +#endif /* HAVE_POWF */ + +#if !HAVE_CBRT +static av_always_inline double cbrt(double x) +{ + return x < 0 ? -pow(-x, 1.0 / 3.0) : pow(x, 1.0 / 3.0); +} +#endif /* HAVE_CBRT */ + +#if !HAVE_CBRTF +static av_always_inline float cbrtf(float x) +{ + return x < 0 ? -powf(-x, 1.0 / 3.0) : powf(x, 1.0 / 3.0); +} +#endif /* HAVE_CBRTF */ + +#if !HAVE_COPYSIGN +static av_always_inline double copysign(double x, double y) +{ + uint64_t vx = av_double2int(x); + uint64_t vy = av_double2int(y); + return av_int2double((vx & UINT64_C(0x7fffffffffffffff)) | (vy & UINT64_C(0x8000000000000000))); +} +#endif /* HAVE_COPYSIGN */ + +#if !HAVE_COSF +#undef cosf +#define cosf(x) ((float)cos(x)) +#endif /* HAVE_COSF */ + +#if !HAVE_ERF +static inline double ff_eval_poly(const double *coeff, int size, double x) { + double sum = coeff[size-1]; + int i; + for (i = size-2; i >= 0; --i) { + sum *= x; + sum += coeff[i]; + } + return sum; +} + +/** + * erf function + * Algorithm taken from the Boost project, source: + * http://www.boost.org/doc/libs/1_46_1/boost/math/special_functions/erf.hpp + * Use, modification and distribution are subject to the + * Boost Software License, Version 1.0 (see notice below). + * Boost Software License - Version 1.0 - August 17th, 2003 +Permission is hereby granted, free of charge, to any person or organization +obtaining a copy of the software and accompanying documentation covered by +this license (the "Software") to use, reproduce, display, distribute, +execute, and transmit the Software, and to prepare derivative works of the +Software, and to permit third-parties to whom the Software is furnished to +do so, all subject to the following: + +The copyright notices in the Software and this entire statement, including +the above license grant, this restriction and the following disclaimer, +must be included in all copies of the Software, in whole or in part, and +all derivative works of the Software, unless such copies or derivative +works are solely in the form of machine-executable object code generated by +a source language processor. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT +SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE +FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, +ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +DEALINGS IN THE SOFTWARE. + */ +static inline double erf(double z) +{ +#ifndef FF_ARRAY_ELEMS +#define FF_ARRAY_ELEMS(a) (sizeof(a) / sizeof((a)[0])) +#endif + double result; + + /* handle the symmetry: erf(-x) = -erf(x) */ + if (z < 0) + return -erf(-z); + + /* branch based on range of z, and pick appropriate approximation */ + if (z == 0) + return 0; + else if (z < 1e-10) + return z * 1.125 + z * 0.003379167095512573896158903121545171688; + else if (z < 0.5) { + // Maximum Deviation Found: 1.561e-17 + // Expected Error Term: 1.561e-17 + // Maximum Relative Change in Control Points: 1.155e-04 + // Max Error found at double precision = 2.961182e-17 + + static const double y = 1.044948577880859375; + static const double p[] = { + 0.0834305892146531832907, + -0.338165134459360935041, + -0.0509990735146777432841, + -0.00772758345802133288487, + -0.000322780120964605683831, + }; + static const double q[] = { + 1, + 0.455004033050794024546, + 0.0875222600142252549554, + 0.00858571925074406212772, + 0.000370900071787748000569, + }; + double zz = z * z; + return z * (y + ff_eval_poly(p, FF_ARRAY_ELEMS(p), zz) / ff_eval_poly(q, FF_ARRAY_ELEMS(q), zz)); + } + /* here onwards compute erfc */ + else if (z < 1.5) { + // Maximum Deviation Found: 3.702e-17 + // Expected Error Term: 3.702e-17 + // Maximum Relative Change in Control Points: 2.845e-04 + // Max Error found at double precision = 4.841816e-17 + static const double y = 0.405935764312744140625; + static const double p[] = { + -0.098090592216281240205, + 0.178114665841120341155, + 0.191003695796775433986, + 0.0888900368967884466578, + 0.0195049001251218801359, + 0.00180424538297014223957, + }; + static const double q[] = { + 1, + 1.84759070983002217845, + 1.42628004845511324508, + 0.578052804889902404909, + 0.12385097467900864233, + 0.0113385233577001411017, + 0.337511472483094676155e-5, + }; + result = y + ff_eval_poly(p, FF_ARRAY_ELEMS(p), z - 0.5) / ff_eval_poly(q, FF_ARRAY_ELEMS(q), z - 0.5); + result *= exp(-z * z) / z; + return 1 - result; + } + else if (z < 2.5) { + // Max Error found at double precision = 6.599585e-18 + // Maximum Deviation Found: 3.909e-18 + // Expected Error Term: 3.909e-18 + // Maximum Relative Change in Control Points: 9.886e-05 + static const double y = 0.50672817230224609375; + static const double p[] = { + -0.0243500476207698441272, + 0.0386540375035707201728, + 0.04394818964209516296, + 0.0175679436311802092299, + 0.00323962406290842133584, + 0.000235839115596880717416, + }; + static const double q[] = { + 1, + 1.53991494948552447182, + 0.982403709157920235114, + 0.325732924782444448493, + 0.0563921837420478160373, + 0.00410369723978904575884, + }; + result = y + ff_eval_poly(p, FF_ARRAY_ELEMS(p), z - 1.5) / ff_eval_poly(q, FF_ARRAY_ELEMS(q), z - 1.5); + result *= exp(-z * z) / z; + return 1 - result; + } + else if (z < 4.5) { + // Maximum Deviation Found: 1.512e-17 + // Expected Error Term: 1.512e-17 + // Maximum Relative Change in Control Points: 2.222e-04 + // Max Error found at double precision = 2.062515e-17 + static const double y = 0.5405750274658203125; + static const double p[] = { + 0.00295276716530971662634, + 0.0137384425896355332126, + 0.00840807615555585383007, + 0.00212825620914618649141, + 0.000250269961544794627958, + 0.113212406648847561139e-4, + }; + static const double q[] = { + 1, + 1.04217814166938418171, + 0.442597659481563127003, + 0.0958492726301061423444, + 0.0105982906484876531489, + 0.000479411269521714493907, + }; + result = y + ff_eval_poly(p, FF_ARRAY_ELEMS(p), z - 3.5) / ff_eval_poly(q, FF_ARRAY_ELEMS(q), z - 3.5); + result *= exp(-z * z) / z; + return 1 - result; + } + /* differ from Boost here, the claim of underflow of erfc(x) past 5.8 is + * slightly incorrect, change to 5.92 + * (really somewhere between 5.9125 and 5.925 is when it saturates) */ + else if (z < 5.92) { + // Max Error found at double precision = 2.997958e-17 + // Maximum Deviation Found: 2.860e-17 + // Expected Error Term: 2.859e-17 + // Maximum Relative Change in Control Points: 1.357e-05 + static const double y = 0.5579090118408203125; + static const double p[] = { + 0.00628057170626964891937, + 0.0175389834052493308818, + -0.212652252872804219852, + -0.687717681153649930619, + -2.5518551727311523996, + -3.22729451764143718517, + -2.8175401114513378771, + }; + static const double q[] = { + 1, + 2.79257750980575282228, + 11.0567237927800161565, + 15.930646027911794143, + 22.9367376522880577224, + 13.5064170191802889145, + 5.48409182238641741584, + }; + result = y + ff_eval_poly(p, FF_ARRAY_ELEMS(p), 1 / z) / ff_eval_poly(q, FF_ARRAY_ELEMS(q), 1 / z); + result *= exp(-z * z) / z; + return 1 - result; + } + /* handle the nan case, but don't use isnan for max portability */ + else if (z != z) + return z; + /* finally return saturated result */ + else + return 1; +} +#endif /* HAVE_ERF */ + +#if !HAVE_EXPF +#undef expf +#define expf(x) ((float)exp(x)) +#endif /* HAVE_EXPF */ + +#if !HAVE_EXP2 +#undef exp2 +#define exp2(x) exp((x) * M_LN2) +#endif /* HAVE_EXP2 */ + +#if !HAVE_EXP2F +#undef exp2f +#define exp2f(x) ((float)exp2(x)) +#endif /* HAVE_EXP2F */ + +#if !HAVE_ISINF +#undef isinf +/* Note: these do not follow the BSD/Apple/GNU convention of returning -1 for +-Inf, +1 for Inf, 0 otherwise, but merely follow the POSIX/ISO mandated spec of +returning a non-zero value for +/-Inf, 0 otherwise. */ +static av_always_inline av_const int avpriv_isinff(float x) +{ + uint32_t v = av_float2int(x); + if ((v & 0x7f800000) != 0x7f800000) + return 0; + return !(v & 0x007fffff); +} + +static av_always_inline av_const int avpriv_isinf(double x) +{ + uint64_t v = av_double2int(x); + if ((v & 0x7ff0000000000000) != 0x7ff0000000000000) + return 0; + return !(v & 0x000fffffffffffff); +} + +#define isinf(x) \ + (sizeof(x) == sizeof(float) \ + ? avpriv_isinff(x) \ + : avpriv_isinf(x)) +#endif /* HAVE_ISINF */ + +#if !HAVE_ISNAN +static av_always_inline av_const int avpriv_isnanf(float x) +{ + uint32_t v = av_float2int(x); + if ((v & 0x7f800000) != 0x7f800000) + return 0; + return v & 0x007fffff; +} + +static av_always_inline av_const int avpriv_isnan(double x) +{ + uint64_t v = av_double2int(x); + if ((v & 0x7ff0000000000000) != 0x7ff0000000000000) + return 0; + return (v & 0x000fffffffffffff) && 1; +} + +#define isnan(x) \ + (sizeof(x) == sizeof(float) \ + ? avpriv_isnanf(x) \ + : avpriv_isnan(x)) +#endif /* HAVE_ISNAN */ + +#if !HAVE_ISFINITE +static av_always_inline av_const int avpriv_isfinitef(float x) +{ + uint32_t v = av_float2int(x); + return (v & 0x7f800000) != 0x7f800000; +} + +static av_always_inline av_const int avpriv_isfinite(double x) +{ + uint64_t v = av_double2int(x); + return (v & 0x7ff0000000000000) != 0x7ff0000000000000; +} + +#define isfinite(x) \ + (sizeof(x) == sizeof(float) \ + ? avpriv_isfinitef(x) \ + : avpriv_isfinite(x)) +#endif /* HAVE_ISFINITE */ + +#if !HAVE_HYPOT +static inline av_const double hypot(double x, double y) +{ + double ret, temp; + x = fabs(x); + y = fabs(y); + + if (isinf(x) || isinf(y)) + return av_int2double(0x7ff0000000000000); + if (x == 0 || y == 0) + return x + y; + if (x < y) { + temp = x; + x = y; + y = temp; + } + + y = y/x; + return x*sqrt(1 + y*y); +} +#endif /* HAVE_HYPOT */ + +#if !HAVE_LDEXPF +#undef ldexpf +#define ldexpf(x, exp) ((float)ldexp(x, exp)) +#endif /* HAVE_LDEXPF */ + +#if !HAVE_LLRINT +#undef llrint +#define llrint(x) ((long long)rint(x)) +#endif /* HAVE_LLRINT */ + +#if !HAVE_LLRINTF +#undef llrintf +#define llrintf(x) ((long long)rint(x)) +#endif /* HAVE_LLRINT */ + +#if !HAVE_LOG2 +#undef log2 +#define log2(x) (log(x) * 1.44269504088896340736) +#endif /* HAVE_LOG2 */ + +#if !HAVE_LOG2F +#undef log2f +#define log2f(x) ((float)log2(x)) +#endif /* HAVE_LOG2F */ + +#if !HAVE_LOG10F +#undef log10f +#define log10f(x) ((float)log10(x)) +#endif /* HAVE_LOG10F */ + +#if !HAVE_SINF +#undef sinf +#define sinf(x) ((float)sin(x)) +#endif /* HAVE_SINF */ + +#if !HAVE_RINT +static inline double rint(double x) +{ + return x >= 0 ? floor(x + 0.5) : ceil(x - 0.5); +} +#endif /* HAVE_RINT */ + +#if !HAVE_LRINT +static av_always_inline av_const long int lrint(double x) +{ + return rint(x); +} +#endif /* HAVE_LRINT */ + +#if !HAVE_LRINTF +static av_always_inline av_const long int lrintf(float x) +{ + return (int)(rint(x)); +} +#endif /* HAVE_LRINTF */ + +#if !HAVE_ROUND +static av_always_inline av_const double round(double x) +{ + return (x > 0) ? floor(x + 0.5) : ceil(x - 0.5); +} +#endif /* HAVE_ROUND */ + +#if !HAVE_ROUNDF +static av_always_inline av_const float roundf(float x) +{ + return (x > 0) ? floor(x + 0.5) : ceil(x - 0.5); +} +#endif /* HAVE_ROUNDF */ + +#if !HAVE_TRUNC +static av_always_inline av_const double trunc(double x) +{ + return (x > 0) ? floor(x) : ceil(x); +} +#endif /* HAVE_TRUNC */ + +#if !HAVE_TRUNCF +static av_always_inline av_const float truncf(float x) +{ + return (x > 0) ? floor(x) : ceil(x); +} +#endif /* HAVE_TRUNCF */ + +#endif /* AVUTIL_LIBM_H */ |