| 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 |  |