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| 1 /* | 1 /* |
| 2 * Copyright (C) 2006, 2007, 2008, 2009, 2010 Apple Inc. All rights reserved. | 2 * Copyright (C) 2006, 2007, 2008, 2009, 2010 Apple Inc. All rights reserved. |
| 3 * | 3 * |
| 4 * Redistribution and use in source and binary forms, with or without | 4 * Redistribution and use in source and binary forms, with or without |
| 5 * modification, are permitted provided that the following conditions | 5 * modification, are permitted provided that the following conditions |
| 6 * are met: | 6 * are met: |
| 7 * 1. Redistributions of source code must retain the above copyright | 7 * 1. Redistributions of source code must retain the above copyright |
| 8 * notice, this list of conditions and the following disclaimer. | 8 * notice, this list of conditions and the following disclaimer. |
| 9 * 2. Redistributions in binary form must reproduce the above copyright | 9 * 2. Redistributions in binary form must reproduce the above copyright |
| 10 * notice, this list of conditions and the following disclaimer in the | 10 * notice, this list of conditions and the following disclaimer in the |
| (...skipping 12 matching lines...) Expand all Loading... |
| 23 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | 23 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 24 */ | 24 */ |
| 25 | 25 |
| 26 #ifndef WTF_MathExtras_h | 26 #ifndef WTF_MathExtras_h |
| 27 #define WTF_MathExtras_h | 27 #define WTF_MathExtras_h |
| 28 | 28 |
| 29 #include "wtf/CPU.h" | 29 #include "wtf/CPU.h" |
| 30 #include <cmath> | 30 #include <cmath> |
| 31 #include <limits> | 31 #include <limits> |
| 32 | 32 |
| 33 #if COMPILER(MSVC) | |
| 34 #include "wtf/Assertions.h" | |
| 35 #include <stdint.h> | |
| 36 #endif | |
| 37 | |
| 38 #if OS(OPENBSD) | |
| 39 #include <sys/types.h> | |
| 40 #include <machine/ieee.h> | |
| 41 #endif | |
| 42 | |
| 43 const double piDouble = M_PI; | 33 const double piDouble = M_PI; |
| 44 const float piFloat = static_cast<float>(M_PI); | 34 const float piFloat = static_cast<float>(M_PI); |
| 45 | 35 |
| 46 const double piOverTwoDouble = M_PI_2; | 36 const double piOverTwoDouble = M_PI_2; |
| 47 const float piOverTwoFloat = static_cast<float>(M_PI_2); | 37 const float piOverTwoFloat = static_cast<float>(M_PI_2); |
| 48 | 38 |
| 49 const double piOverFourDouble = M_PI_4; | 39 const double piOverFourDouble = M_PI_4; |
| 50 const float piOverFourFloat = static_cast<float>(M_PI_4); | 40 const float piOverFourFloat = static_cast<float>(M_PI_4); |
| 51 | 41 |
| 52 const double twoPiDouble = piDouble * 2.0; | 42 const double twoPiDouble = piDouble * 2.0; |
| 53 const float twoPiFloat = piFloat * 2.0f; | 43 const float twoPiFloat = piFloat * 2.0f; |
| 54 | 44 |
| 55 #if OS(MACOSX) | 45 #if OS(ANDROID) |
| 56 | |
| 57 // Work around a bug in the Mac OS X libc where ceil(-0.1) return +0. | |
| 58 inline double wtf_ceil(double x) { return copysign(ceil(x), x); } | |
| 59 | |
| 60 #define ceil(x) wtf_ceil(x) | |
| 61 | |
| 62 #endif | |
| 63 | |
| 64 #if OS(OPENBSD) | |
| 65 | |
| 66 namespace std { | |
| 67 | |
| 68 #ifndef isfinite | |
| 69 inline bool isfinite(double x) { return finite(x); } | |
| 70 #endif | |
| 71 #ifndef signbit | |
| 72 inline bool signbit(double x) { struct ieee_double *p = (struct ieee_double *)&x
; return p->dbl_sign; } | |
| 73 #endif | |
| 74 | |
| 75 } // namespace std | |
| 76 | |
| 77 #endif | |
| 78 | |
| 79 #if COMPILER(MSVC) && (_MSC_VER < 1800) | |
| 80 | |
| 81 // We must not do 'num + 0.5' or 'num - 0.5' because they can cause precision lo
ss. | |
| 82 static double round(double num) | |
| 83 { | |
| 84 double integer = ceil(num); | |
| 85 if (num > 0) | |
| 86 return integer - num > 0.5 ? integer - 1.0 : integer; | |
| 87 return integer - num >= 0.5 ? integer - 1.0 : integer; | |
| 88 } | |
| 89 static float roundf(float num) | |
| 90 { | |
| 91 float integer = ceilf(num); | |
| 92 if (num > 0) | |
| 93 return integer - num > 0.5f ? integer - 1.0f : integer; | |
| 94 return integer - num >= 0.5f ? integer - 1.0f : integer; | |
| 95 } | |
| 96 inline long long llround(double num) { return static_cast<long long>(round(num))
; } | |
| 97 inline long long llroundf(float num) { return static_cast<long long>(roundf(num)
); } | |
| 98 inline long lround(double num) { return static_cast<long>(round(num)); } | |
| 99 inline long lroundf(float num) { return static_cast<long>(roundf(num)); } | |
| 100 inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); } | |
| 101 | |
| 102 #endif | |
| 103 | |
| 104 #if OS(ANDROID) || COMPILER(MSVC) | |
| 105 // ANDROID and MSVC's math.h does not currently supply log2 or log2f. | 46 // ANDROID and MSVC's math.h does not currently supply log2 or log2f. |
| 106 inline double log2(double num) | 47 inline double log2(double num) |
| 107 { | 48 { |
| 108 // This constant is roughly M_LN2, which is not provided by default on Windo
ws and Android. | 49 // This constant is roughly M_LN2, which is not provided by default on Windo
ws and Android. |
| 109 return log(num) / 0.693147180559945309417232121458176568; | 50 return log(num) / 0.693147180559945309417232121458176568; |
| 110 } | 51 } |
| 111 | 52 |
| 112 inline float log2f(float num) | 53 inline float log2f(float num) |
| 113 { | 54 { |
| 114 // This constant is roughly M_LN2, which is not provided by default on Windo
ws and Android. | 55 // This constant is roughly M_LN2, which is not provided by default on Windo
ws and Android. |
| 115 return logf(num) / 0.693147180559945309417232121458176568f; | 56 return logf(num) / 0.693147180559945309417232121458176568f; |
| 116 } | 57 } |
| 117 #endif | 58 #endif |
| 118 | 59 |
| 119 #if COMPILER(MSVC) | |
| 120 | |
| 121 // VS2013 has most of the math functions now, but we still need to work | |
| 122 // around various differences in behavior of Inf. | |
| 123 | |
| 124 #if _MSC_VER < 1800 | |
| 125 | |
| 126 namespace std { | |
| 127 | |
| 128 inline bool isinf(double num) { return !_finite(num) && !_isnan(num); } | |
| 129 inline bool isnan(double num) { return !!_isnan(num); } | |
| 130 inline bool isfinite(double x) { return _finite(x); } | |
| 131 inline bool signbit(double num) { return _copysign(1.0, num) < 0; } | |
| 132 | |
| 133 } // namespace std | |
| 134 | |
| 135 inline double nextafter(double x, double y) { return _nextafter(x, y); } | |
| 136 inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x +
FLT_EPSILON; } | |
| 137 | |
| 138 inline double copysign(double x, double y) { return _copysign(x, y); } | |
| 139 | |
| 140 #endif // _MSC_VER | |
| 141 | |
| 142 // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN inst
ead of specific values. | |
| 143 inline double wtf_atan2(double x, double y) | |
| 144 { | |
| 145 double posInf = std::numeric_limits<double>::infinity(); | |
| 146 double negInf = -std::numeric_limits<double>::infinity(); | |
| 147 double nan = std::numeric_limits<double>::quiet_NaN(); | |
| 148 | |
| 149 double result = nan; | |
| 150 | |
| 151 if (x == posInf && y == posInf) | |
| 152 result = piOverFourDouble; | |
| 153 else if (x == posInf && y == negInf) | |
| 154 result = 3 * piOverFourDouble; | |
| 155 else if (x == negInf && y == posInf) | |
| 156 result = -piOverFourDouble; | |
| 157 else if (x == negInf && y == negInf) | |
| 158 result = -3 * piOverFourDouble; | |
| 159 else | |
| 160 result = ::atan2(x, y); | |
| 161 | |
| 162 return result; | |
| 163 } | |
| 164 | |
| 165 // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN
instead of x. | |
| 166 inline double wtf_fmod(double x, double y) { return (!std::isinf(x) && std::isin
f(y)) ? x : fmod(x, y); } | |
| 167 | |
| 168 // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead
of 1. | |
| 169 inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); } | |
| 170 | |
| 171 #define atan2(x, y) wtf_atan2(x, y) | |
| 172 #define fmod(x, y) wtf_fmod(x, y) | |
| 173 #define pow(x, y) wtf_pow(x, y) | |
| 174 | |
| 175 #if _MSC_VER < 1800 | |
| 176 | |
| 177 // MSVC's math functions do not bring lrint. | |
| 178 inline long int lrint(double flt) | |
| 179 { | |
| 180 int64_t intgr; | |
| 181 #if CPU(X86) | |
| 182 __asm { | |
| 183 fld flt | |
| 184 fistp intgr | |
| 185 }; | |
| 186 #else | |
| 187 ASSERT(std::isfinite(flt)); | |
| 188 double rounded = round(flt); | |
| 189 intgr = static_cast<int64_t>(rounded); | |
| 190 // If the fractional part is exactly 0.5, we need to check whether | |
| 191 // the rounded result is even. If it is not we need to add 1 to | |
| 192 // negative values and subtract one from positive values. | |
| 193 if ((fabs(intgr - flt) == 0.5) & intgr) | |
| 194 intgr -= ((intgr >> 62) | 1); // 1 with the sign of result, i.e. -1 or 1
. | |
| 195 #endif | |
| 196 return static_cast<long int>(intgr); | |
| 197 } | |
| 198 | |
| 199 #endif // _MSC_VER | |
| 200 | |
| 201 #endif // COMPILER(MSVC) | |
| 202 | |
| 203 inline double deg2rad(double d) { return d * piDouble / 180.0; } | 60 inline double deg2rad(double d) { return d * piDouble / 180.0; } |
| 204 inline double rad2deg(double r) { return r * 180.0 / piDouble; } | 61 inline double rad2deg(double r) { return r * 180.0 / piDouble; } |
| 205 inline double deg2grad(double d) { return d * 400.0 / 360.0; } | 62 inline double deg2grad(double d) { return d * 400.0 / 360.0; } |
| 206 inline double grad2deg(double g) { return g * 360.0 / 400.0; } | 63 inline double grad2deg(double g) { return g * 360.0 / 400.0; } |
| 207 inline double turn2deg(double t) { return t * 360.0; } | 64 inline double turn2deg(double t) { return t * 360.0; } |
| 208 inline double deg2turn(double d) { return d / 360.0; } | 65 inline double deg2turn(double d) { return d / 360.0; } |
| 209 inline double rad2grad(double r) { return r * 200.0 / piDouble; } | 66 inline double rad2grad(double r) { return r * 200.0 / piDouble; } |
| 210 inline double grad2rad(double g) { return g * piDouble / 200.0; } | 67 inline double grad2rad(double g) { return g * piDouble / 200.0; } |
| 211 inline double turn2grad(double t) { return t * 400; } | 68 inline double turn2grad(double t) { return t * 400; } |
| 212 inline double grad2turn(double g) { return g / 400; } | 69 inline double grad2turn(double g) { return g / 400; } |
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| 281 { | 138 { |
| 282 return b ? greatestCommonDivisor(b, a % b) : a; | 139 return b ? greatestCommonDivisor(b, a % b) : a; |
| 283 } | 140 } |
| 284 | 141 |
| 285 inline size_t lowestCommonMultiple(size_t a, size_t b) | 142 inline size_t lowestCommonMultiple(size_t a, size_t b) |
| 286 { | 143 { |
| 287 return a && b ? a / greatestCommonDivisor(a, b) * b : 0; | 144 return a && b ? a / greatestCommonDivisor(a, b) * b : 0; |
| 288 } | 145 } |
| 289 | 146 |
| 290 #ifndef UINT64_C | 147 #ifndef UINT64_C |
| 291 #if COMPILER(MSVC) | |
| 292 #define UINT64_C(c) c ## ui64 | |
| 293 #else | |
| 294 #define UINT64_C(c) c ## ull | 148 #define UINT64_C(c) c ## ull |
| 295 #endif | 149 #endif |
| 296 #endif | |
| 297 | 150 |
| 298 // Calculate d % 2^{64}. | 151 // Calculate d % 2^{64}. |
| 299 inline void doubleToInteger(double d, unsigned long long& value) | 152 inline void doubleToInteger(double d, unsigned long long& value) |
| 300 { | 153 { |
| 301 if (std::isnan(d) || std::isinf(d)) | 154 if (std::isnan(d) || std::isinf(d)) |
| 302 value = 0; | 155 value = 0; |
| 303 else { | 156 else { |
| 304 // -2^{64} < fmodValue < 2^{64}. | 157 // -2^{64} < fmodValue < 2^{64}. |
| 305 double fmodValue = fmod(trunc(d), std::numeric_limits<unsigned long long
>::max() + 1.0); | 158 double fmodValue = fmod(trunc(d), std::numeric_limits<unsigned long long
>::max() + 1.0); |
| 306 if (fmodValue >= 0) { | 159 if (fmodValue >= 0) { |
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| 334 if (i >> 2) | 187 if (i >> 2) |
| 335 log2 += 2, i >>= 2; | 188 log2 += 2, i >>= 2; |
| 336 if (i >> 1) | 189 if (i >> 1) |
| 337 log2 += 1; | 190 log2 += 1; |
| 338 return log2; | 191 return log2; |
| 339 } | 192 } |
| 340 | 193 |
| 341 } // namespace WTF | 194 } // namespace WTF |
| 342 | 195 |
| 343 #endif // #ifndef WTF_MathExtras_h | 196 #endif // #ifndef WTF_MathExtras_h |
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