1 | /*
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2 | * Copyright (C) 2006, 2007 Apple Inc. All rights reserved.
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3 | *
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4 | * Redistribution and use in source and binary forms, with or without
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5 | * modification, are permitted provided that the following conditions
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6 | * are met:
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7 | * 1. Redistributions of source code must retain the above copyright
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8 | * notice, this list of conditions and the following disclaimer.
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9 | * 2. Redistributions in binary form must reproduce the above copyright
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10 | * notice, this list of conditions and the following disclaimer in the
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11 | * documentation and/or other materials provided with the distribution.
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12 | *
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13 | * THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
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14 | * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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15 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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16 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE COMPUTER, INC. OR
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17 | * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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18 | * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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19 | * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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20 | * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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21 | * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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22 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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23 | * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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24 | */
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25 |
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26 | #ifndef WTF_MathExtras_h
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27 | #define WTF_MathExtras_h
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28 |
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29 | #include <math.h>
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30 | #include <stdlib.h>
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31 | #include <time.h>
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32 |
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33 | #if COMPILER(MSVC)
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34 |
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35 | #include <xmath.h>
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36 | #include <limits>
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37 |
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38 | #if HAVE(FLOAT_H)
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39 | #include <float.h>
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40 | #endif
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41 |
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42 | #endif
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43 |
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44 | #ifndef M_PI
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45 | const double piDouble = 3.14159265358979323846;
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46 | const float piFloat = 3.14159265358979323846f;
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47 | #else
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48 | const double piDouble = M_PI;
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49 | const float piFloat = static_cast<float>(M_PI);
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50 | #endif
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51 |
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52 | #ifndef M_PI_4
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53 | const double piOverFourDouble = 0.785398163397448309616;
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54 | const float piOverFourFloat = 0.785398163397448309616f;
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55 | #else
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56 | const double piOverFourDouble = M_PI_4;
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57 | const float piOverFourFloat = static_cast<float>(M_PI_4);
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58 | #endif
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59 |
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60 | #if COMPILER(MSVC)
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61 |
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62 | inline bool isinf(double num) { return !_finite(num) && !_isnan(num); }
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63 | inline bool isnan(double num) { return !!_isnan(num); }
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64 | inline long lround(double num) { return static_cast<long>(num > 0 ? num + 0.5 : ceil(num - 0.5)); }
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65 | inline long lroundf(float num) { return static_cast<long>(num > 0 ? num + 0.5f : ceilf(num - 0.5f)); }
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66 | inline double round(double num) { return num > 0 ? floor(num + 0.5) : ceil(num - 0.5); }
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67 | inline float roundf(float num) { return num > 0 ? floorf(num + 0.5f) : ceilf(num - 0.5f); }
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68 | inline bool signbit(double num) { return _copysign(1.0, num) < 0; }
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69 | inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); }
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70 |
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71 | inline double nextafter(double x, double y) { return _nextafter(x, y); }
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72 | inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x + FLT_EPSILON; }
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73 |
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74 | inline double copysign(double x, double y) { return _copysign(x, y); }
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75 | inline int isfinite(double x) { return _finite(x); }
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76 |
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77 | // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values.
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78 | inline double wtf_atan2(double x, double y)
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79 | {
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80 | static double posInf = std::numeric_limits<double>::infinity();
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81 | static double negInf = -std::numeric_limits<double>::infinity();
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82 | static double nan = std::numeric_limits<double>::quiet_NaN();
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83 |
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84 | double result = nan;
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85 |
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86 | if (x == posInf && y == posInf)
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87 | result = piOverFourDouble;
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88 | else if (x == posInf && y == negInf)
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89 | result = 3 * piOverFourDouble;
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90 | else if (x == negInf && y == posInf)
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91 | result = -piOverFourDouble;
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92 | else if (x == negInf && y == negInf)
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93 | result = -3 * piOverFourDouble;
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94 | else
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95 | result = ::atan2(x, y);
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96 |
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97 | return result;
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98 | }
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99 |
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100 | // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x.
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101 | inline double wtf_fmod(double x, double y) { return (!isinf(x) && isinf(y)) ? x : fmod(x, y); }
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102 |
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103 | // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead of 1.
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104 | inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); }
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105 |
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106 | #define atan2(x, y) wtf_atan2(x, y)
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107 | #define fmod(x, y) wtf_fmod(x, y)
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108 | #define pow(x, y) wtf_pow(x, y)
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109 |
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110 | #if defined(_CRT_RAND_S)
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111 | // Initializes the random number generator.
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112 | inline void wtf_random_init()
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113 | {
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114 | // No need to initialize for rand_s.
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115 | }
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116 |
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117 | // Returns a pseudo-random number in the range [0, 1).
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118 | inline double wtf_random()
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119 | {
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120 | unsigned u;
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121 | rand_s(&u);
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122 |
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123 | return static_cast<double>(u) / (static_cast<double>(UINT_MAX) + 1.0);
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124 | }
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125 | #endif // _CRT_RAND_S
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126 |
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127 | #else
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128 |
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129 | // Initializes the random number generator.
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130 | inline void wtf_random_init()
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131 | {
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132 | srand(static_cast<unsigned>(time(0)));
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133 | }
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134 |
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135 | // Returns a pseudo-random number in the range [0, 1).
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136 | inline double wtf_random()
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137 | {
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138 | return static_cast<double>(rand()) / (static_cast<double>(RAND_MAX) + 1.0);
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139 | }
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140 |
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141 | #endif // #if COMPILER(MSVC)
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142 |
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143 | inline double deg2rad(double d) { return d * piDouble / 180.0; }
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144 | inline double rad2deg(double r) { return r * 180.0 / piDouble; }
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145 | inline double deg2grad(double d) { return d * 400.0 / 360.0; }
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146 | inline double grad2deg(double g) { return g * 360.0 / 400.0; }
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147 | inline double rad2grad(double r) { return r * 200.0 / piDouble; }
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148 | inline double grad2rad(double g) { return g * piDouble / 200.0; }
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149 |
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150 | inline float deg2rad(float d) { return d * piFloat / 180.0f; }
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151 | inline float rad2deg(float r) { return r * 180.0f / piFloat; }
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152 | inline float deg2grad(float d) { return d * 400.0f / 360.0f; }
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153 | inline float grad2deg(float g) { return g * 360.0f / 400.0f; }
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154 | inline float rad2grad(float r) { return r * 200.0f / piFloat; }
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155 | inline float grad2rad(float g) { return g * piFloat / 200.0f; }
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156 |
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157 | #endif // #ifndef WTF_MathExtras_h
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