1 | /*
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2 | * Copyright (C) 2006, 2007, 2008 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 |
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32 | #if PLATFORM(SOLARIS)
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33 | #include <ieeefp.h>
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34 | #endif
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35 |
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36 | #if PLATFORM(OPENBSD)
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37 | #include <sys/types.h>
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38 | #include <machine/ieee.h>
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39 | #endif
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40 |
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41 | #if COMPILER(MSVC)
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42 | #if PLATFORM(WINCE)
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43 | #include <stdlib.h>
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44 | #endif
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45 | #include <limits>
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46 |
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47 | #if HAVE(FLOAT_H)
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48 | #include <float.h>
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49 | #endif
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50 |
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51 | #endif
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52 |
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53 | #ifndef M_PI
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54 | const double piDouble = 3.14159265358979323846;
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55 | const float piFloat = 3.14159265358979323846f;
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56 | #else
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57 | const double piDouble = M_PI;
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58 | const float piFloat = static_cast<float>(M_PI);
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59 | #endif
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60 |
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61 | #ifndef M_PI_4
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62 | const double piOverFourDouble = 0.785398163397448309616;
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63 | const float piOverFourFloat = 0.785398163397448309616f;
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64 | #else
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65 | const double piOverFourDouble = M_PI_4;
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66 | const float piOverFourFloat = static_cast<float>(M_PI_4);
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67 | #endif
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68 |
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69 | #if PLATFORM(DARWIN)
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70 |
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71 | // Work around a bug in the Mac OS X libc where ceil(-0.1) return +0.
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72 | inline double wtf_ceil(double x) { return copysign(ceil(x), x); }
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73 |
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74 | #define ceil(x) wtf_ceil(x)
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75 |
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76 | #endif
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77 |
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78 | #if PLATFORM(SOLARIS)
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79 |
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80 | #ifndef isfinite
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81 | inline bool isfinite(double x) { return finite(x) && !isnand(x); }
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82 | #endif
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83 | #ifndef isinf
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84 | inline bool isinf(double x) { return !finite(x) && !isnand(x); }
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85 | #endif
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86 | #ifndef signbit
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87 | inline bool signbit(double x) { return x < 0.0; } // FIXME: Wrong for negative 0.
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88 | #endif
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89 |
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90 | #endif
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91 |
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92 | #if PLATFORM(OPENBSD)
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93 |
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94 | #ifndef isfinite
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95 | inline bool isfinite(double x) { return finite(x); }
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96 | #endif
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97 | #ifndef signbit
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98 | inline bool signbit(double x) { struct ieee_double *p = (struct ieee_double *)&x; return p->dbl_sign; }
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99 | #endif
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100 |
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101 | #endif
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102 |
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103 | #if COMPILER(MSVC) || COMPILER(RVCT)
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104 |
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105 | inline long lround(double num) { return static_cast<long>(num > 0 ? num + 0.5 : ceil(num - 0.5)); }
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106 | inline long lroundf(float num) { return static_cast<long>(num > 0 ? num + 0.5f : ceilf(num - 0.5f)); }
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107 | inline double round(double num) { return num > 0 ? floor(num + 0.5) : ceil(num - 0.5); }
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108 | inline float roundf(float num) { return num > 0 ? floorf(num + 0.5f) : ceilf(num - 0.5f); }
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109 | inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); }
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110 |
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111 | #endif
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112 |
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113 | #if COMPILER(MSVC)
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114 |
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115 | inline bool isinf(double num) { return !_finite(num) && !_isnan(num); }
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116 | inline bool isnan(double num) { return !!_isnan(num); }
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117 | inline bool signbit(double num) { return _copysign(1.0, num) < 0; }
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118 |
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119 | inline double nextafter(double x, double y) { return _nextafter(x, y); }
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120 | inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x + FLT_EPSILON; }
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121 |
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122 | inline double copysign(double x, double y) { return _copysign(x, y); }
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123 | inline int isfinite(double x) { return _finite(x); }
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124 |
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125 | // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values.
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126 | inline double wtf_atan2(double x, double y)
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127 | {
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128 | double posInf = std::numeric_limits<double>::infinity();
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129 | double negInf = -std::numeric_limits<double>::infinity();
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130 | double nan = std::numeric_limits<double>::quiet_NaN();
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131 |
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132 | double result = nan;
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133 |
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134 | if (x == posInf && y == posInf)
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135 | result = piOverFourDouble;
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136 | else if (x == posInf && y == negInf)
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137 | result = 3 * piOverFourDouble;
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138 | else if (x == negInf && y == posInf)
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139 | result = -piOverFourDouble;
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140 | else if (x == negInf && y == negInf)
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141 | result = -3 * piOverFourDouble;
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142 | else
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143 | result = ::atan2(x, y);
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144 |
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145 | return result;
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146 | }
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147 |
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148 | // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x.
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149 | inline double wtf_fmod(double x, double y) { return (!isinf(x) && isinf(y)) ? x : fmod(x, y); }
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150 |
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151 | // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead of 1.
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152 | inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); }
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153 |
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154 | #define atan2(x, y) wtf_atan2(x, y)
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155 | #define fmod(x, y) wtf_fmod(x, y)
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156 | #define pow(x, y) wtf_pow(x, y)
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157 |
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158 | #endif // COMPILER(MSVC)
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159 |
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160 | inline double deg2rad(double d) { return d * piDouble / 180.0; }
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161 | inline double rad2deg(double r) { return r * 180.0 / piDouble; }
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162 | inline double deg2grad(double d) { return d * 400.0 / 360.0; }
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163 | inline double grad2deg(double g) { return g * 360.0 / 400.0; }
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164 | inline double turn2deg(double t) { return t * 360.0; }
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165 | inline double deg2turn(double d) { return d / 360.0; }
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166 | inline double rad2grad(double r) { return r * 200.0 / piDouble; }
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167 | inline double grad2rad(double g) { return g * piDouble / 200.0; }
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168 |
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169 | inline float deg2rad(float d) { return d * piFloat / 180.0f; }
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170 | inline float rad2deg(float r) { return r * 180.0f / piFloat; }
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171 | inline float deg2grad(float d) { return d * 400.0f / 360.0f; }
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172 | inline float grad2deg(float g) { return g * 360.0f / 400.0f; }
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173 | inline float turn2deg(float t) { return t * 360.0f; }
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174 | inline float deg2turn(float d) { return d / 360.0f; }
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175 | inline float rad2grad(float r) { return r * 200.0f / piFloat; }
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176 | inline float grad2rad(float g) { return g * piFloat / 200.0f; }
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177 |
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178 | #endif // #ifndef WTF_MathExtras_h
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