| 1 | /* |
| 2 | * Copyright (C) 2006, 2007, 2008 Apple Inc. All rights reserved. |
| 3 | * |
| 4 | * Redistribution and use in source and binary forms, with or without |
| 5 | * modification, are permitted provided that the following conditions |
| 6 | * are met: |
| 7 | * 1. Redistributions of source code must retain the above copyright |
| 8 | * notice, this list of conditions and the following disclaimer. |
| 9 | * 2. Redistributions in binary form must reproduce the above copyright |
| 10 | * notice, this list of conditions and the following disclaimer in the |
| 11 | * documentation and/or other materials provided with the distribution. |
| 12 | * |
| 13 | * THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY |
| 14 | * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| 15 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
| 16 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE COMPUTER, INC. OR |
| 17 | * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
| 18 | * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
| 19 | * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
| 20 | * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY |
| 21 | * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| 22 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
| 23 | * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 24 | */ |
| 25 | |
| 26 | #ifndef WTF_MathExtras_h |
| 27 | #define |
| 28 | |
| 29 | #include <float.h> |
| 30 | #include <limits> |
| 31 | #include <cmath> |
| 32 | #include <stdlib.h> |
| 33 | |
| 34 | #if OS(SOLARIS) |
| 35 | #include <ieeefp.h> |
| 36 | #endif |
| 37 | |
| 38 | #if OS(OPENBSD) |
| 39 | #include <sys/types.h> |
| 40 | #include <machine/ieee.h> |
| 41 | #endif |
| 42 | |
| 43 | #if (OS(QNX) && defined(_CPPLIB_VER)) || COMPILER(INTEL) |
| 44 | // FIXME: Look into a way to have cmath import its functions into both the standard and global |
| 45 | // namespace. For now, we include math.h since the QNX cmath header only imports its functions |
| 46 | // into the standard namespace. |
| 47 | #include <math.h> |
| 48 | // These macros from math.h conflict with the real functions in the std namespace. |
| 49 | #undef signbit |
| 50 | #undef isnan |
| 51 | #undef isinf |
| 52 | #undef isfinite |
| 53 | #endif |
| 54 | |
| 55 | #ifndef M_PI |
| 56 | const double piDouble = 3.14159265358979323846; |
| 57 | const float piFloat = 3.14159265358979323846f; |
| 58 | #else |
| 59 | const double piDouble = M_PI; |
| 60 | const float piFloat = static_cast<float>(M_PI); |
| 61 | #endif |
| 62 | |
| 63 | #ifndef M_PI_4 |
| 64 | const double piOverFourDouble = 0.785398163397448309616; |
| 65 | const float piOverFourFloat = 0.785398163397448309616f; |
| 66 | #else |
| 67 | const double piOverFourDouble = M_PI_4; |
| 68 | const float piOverFourFloat = static_cast<float>(M_PI_4); |
| 69 | #endif |
| 70 | |
| 71 | #if OS(DARWIN) |
| 72 | |
| 73 | // Work around a bug in the Mac OS X libc where ceil(-0.1) return +0. |
| 74 | inline double wtf_ceil(double x) { return copysign(ceil(x), x); } |
| 75 | |
| 76 | #define ceil(x) wtf_ceil(x) |
| 77 | |
| 78 | #endif |
| 79 | |
| 80 | #if OS(SOLARIS) && __cplusplus < 201103L |
| 81 | |
| 82 | namespace std { |
| 83 | |
| 84 | #ifndef isfinite |
| 85 | inline bool isfinite(double x) { return finite(x) && !isnand(x); } |
| 86 | #endif |
| 87 | #ifndef signbit |
| 88 | inline bool signbit(double x) { return copysign(1.0, x) < 0; } |
| 89 | #endif |
| 90 | #ifndef isinf |
| 91 | inline bool isinf(double x) { return !finite(x) && !isnand(x); } |
| 92 | #endif |
| 93 | |
| 94 | } // namespace std |
| 95 | |
| 96 | #endif |
| 97 | |
| 98 | #if OS(OPENBSD) && __cplusplus < 201103L |
| 99 | |
| 100 | namespace std { |
| 101 | |
| 102 | #ifndef isfinite |
| 103 | inline bool isfinite(double x) { return finite(x); } |
| 104 | #endif |
| 105 | #ifndef signbit |
| 106 | inline bool signbit(double x) { struct ieee_double *p = (struct ieee_double *)&x; return p->dbl_sign; } |
| 107 | #endif |
| 108 | |
| 109 | } // namespace std |
| 110 | |
| 111 | #endif |
| 112 | |
| 113 | #if (COMPILER(MSVC) && _MSC_VER < 1800) || COMPILER(RVCT) |
| 114 | |
| 115 | // We must not do 'num + 0.5' or 'num - 0.5' because they can cause precision loss. |
| 116 | static double round(double num) |
| 117 | { |
| 118 | double integer = ceil(num); |
| 119 | if (num > 0) |
| 120 | return integer - num > 0.5 ? integer - 1.0 : integer; |
| 121 | return integer - num >= 0.5 ? integer - 1.0 : integer; |
| 122 | } |
| 123 | static float roundf(float num) |
| 124 | { |
| 125 | float integer = ceilf(num); |
| 126 | if (num > 0) |
| 127 | return integer - num > 0.5f ? integer - 1.0f : integer; |
| 128 | return integer - num >= 0.5f ? integer - 1.0f : integer; |
| 129 | } |
| 130 | inline long long llround(double num) { return static_cast<long long>(round(num)); } |
| 131 | inline long long llroundf(float num) { return static_cast<long long>(roundf(num)); } |
| 132 | inline long lround(double num) { return static_cast<long>(round(num)); } |
| 133 | inline long lroundf(float num) { return static_cast<long>(roundf(num)); } |
| 134 | inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); } |
| 135 | |
| 136 | #endif |
| 137 | |
| 138 | #if COMPILER(MSVC) |
| 139 | |
| 140 | namespace std { |
| 141 | |
| 142 | inline bool isinf(double num) { return !_finite(num) && !_isnan(num); } |
| 143 | inline bool isnan(double num) { return !!_isnan(num); } |
| 144 | inline bool isfinite(double x) { return _finite(x); } |
| 145 | #if _MSC_VER < 1800 |
| 146 | inline bool signbit(double num) { return _copysign(1.0, num) < 0; } |
| 147 | #endif |
| 148 | |
| 149 | } // namespace std |
| 150 | |
| 151 | inline double nextafter(double x, double y) { return _nextafter(x, y); } |
| 152 | inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x + FLT_EPSILON; } |
| 153 | |
| 154 | inline double copysign(double x, double y) { return _copysign(x, y); } |
| 155 | |
| 156 | // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values. |
| 157 | inline double wtf_atan2(double x, double y) |
| 158 | { |
| 159 | double posInf = std::numeric_limits<double>::infinity(); |
| 160 | double negInf = -std::numeric_limits<double>::infinity(); |
| 161 | double nan = std::numeric_limits<double>::quiet_NaN(); |
| 162 | |
| 163 | double result = nan; |
| 164 | |
| 165 | if (x == posInf && y == posInf) |
| 166 | result = piOverFourDouble; |
| 167 | else if (x == posInf && y == negInf) |
| 168 | result = 3 * piOverFourDouble; |
| 169 | else if (x == negInf && y == posInf) |
| 170 | result = -piOverFourDouble; |
| 171 | else if (x == negInf && y == negInf) |
| 172 | result = -3 * piOverFourDouble; |
| 173 | else |
| 174 | result = ::atan2(x, y); |
| 175 | |
| 176 | return result; |
| 177 | } |
| 178 | |
| 179 | // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x. |
| 180 | extern "C" inline double wtf_fmod(double x, double y) { return (!std::isinf(x) && std::isinf(y)) ? x : fmod(x, y); } |
| 181 | |
| 182 | // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead of 1. |
| 183 | extern "C" inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); } |
| 184 | |
| 185 | #define atan2(x, y) wtf_atan2(x, y) |
| 186 | #define fmod(x, y) wtf_fmod(x, y) |
| 187 | #define pow(x, y) wtf_pow(x, y) |
| 188 | |
| 189 | #endif // COMPILER(MSVC) |
| 190 | |
| 191 | inline double deg2rad(double d) { return d * piDouble / 180.0; } |
| 192 | inline double rad2deg(double r) { return r * 180.0 / piDouble; } |
| 193 | inline double deg2grad(double d) { return d * 400.0 / 360.0; } |
| 194 | inline double grad2deg(double g) { return g * 360.0 / 400.0; } |
| 195 | inline double turn2deg(double t) { return t * 360.0; } |
| 196 | inline double deg2turn(double d) { return d / 360.0; } |
| 197 | inline double rad2grad(double r) { return r * 200.0 / piDouble; } |
| 198 | inline double grad2rad(double g) { return g * piDouble / 200.0; } |
| 199 | |
| 200 | inline float deg2rad(float d) { return d * piFloat / 180.0f; } |
| 201 | inline float rad2deg(float r) { return r * 180.0f / piFloat; } |
| 202 | inline float deg2grad(float d) { return d * 400.0f / 360.0f; } |
| 203 | inline float grad2deg(float g) { return g * 360.0f / 400.0f; } |
| 204 | inline float turn2deg(float t) { return t * 360.0f; } |
| 205 | inline float deg2turn(float d) { return d / 360.0f; } |
| 206 | inline float rad2grad(float r) { return r * 200.0f / piFloat; } |
| 207 | inline float grad2rad(float g) { return g * piFloat / 200.0f; } |
| 208 | |
| 209 | #if COMPILER(MINGW64) && (!defined(__MINGW64_VERSION_RC) || __MINGW64_VERSION_RC < 1) |
| 210 | inline double wtf_pow(double x, double y) |
| 211 | { |
| 212 | // MinGW-w64 has a custom implementation for pow. |
| 213 | // This handles certain special cases that are different. |
| 214 | if ((x == 0.0 || std::isinf(x)) && std::isfinite(y)) { |
| 215 | double f; |
| 216 | if (modf(y, &f) != 0.0) |
| 217 | return ((x == 0.0) ^ (y > 0.0)) ? std::numeric_limits<double>::infinity() : 0.0; |
| 218 | } |
| 219 | |
| 220 | if (x == 2.0) { |
| 221 | int yInt = static_cast<int>(y); |
| 222 | if (y == yInt) |
| 223 | return ldexp(1.0, yInt); |
| 224 | } |
| 225 | |
| 226 | return pow(x, y); |
| 227 | } |
| 228 | #define pow(x, y) wtf_pow(x, y) |
| 229 | #endif // COMPILER(MINGW64) && (!defined(__MINGW64_VERSION_RC) || __MINGW64_VERSION_RC < 1) |
| 230 | |
| 231 | #endif // #ifndef WTF_MathExtras_h |
| 232 | |