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 WTF_MathExtras_h
28
29 #include <math.h>
30 #include <stdlib.h>
31
32 #if PLATFORM(SOLARIS)
33 #include <ieeefp.h>
34 #endif
35
36 #if PLATFORM(OPENBSD)
37 #include <sys/types.h>
38 #include <machine/ieee.h>
39 #endif
40
41 #if COMPILER(MSVC)
42 #if PLATFORM(WIN_CE)
43 #include <stdlib.h>
44 #else
45 #include <xmath.h>
46 #endif
47 #include <limits>
48
49 #if HAVE(FLOAT_H)
50 #include <float.h>
51 #endif
52
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 PLATFORM(DARWIN)
72
73 // Work around a bug in the Mac OS X libc where ceil(-0.1) return +0.
wtf_ceil(double x)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 PLATFORM(SOLARIS)
81
82 #ifndef isfinite
isfinite(double x)83 inline bool isfinite(double x) { return finite(x) && !isnand(x); }
84 #endif
85 #ifndef isinf
isinf(double x)86 inline bool isinf(double x) { return !finite(x) && !isnand(x); }
87 #endif
88 #ifndef signbit
signbit(double x)89 inline bool signbit(double x) { return x < 0.0; } // FIXME: Wrong for negative 0.
90 #endif
91
92 #endif
93
94 #if PLATFORM(OPENBSD)
95
96 #ifndef isfinite
isfinite(double x)97 inline bool isfinite(double x) { return finite(x); }
98 #endif
99 #ifndef signbit
signbit(double x)100 inline bool signbit(double x) { struct ieee_double *p = (struct ieee_double *)&x; return p->dbl_sign; }
101 #endif
102
103 #endif
104
105 #if COMPILER(MSVC) || COMPILER(RVCT)
106
lround(double num)107 inline long lround(double num) { return static_cast<long>(num > 0 ? num + 0.5 : ceil(num - 0.5)); }
lroundf(float num)108 inline long lroundf(float num) { return static_cast<long>(num > 0 ? num + 0.5f : ceilf(num - 0.5f)); }
round(double num)109 inline double round(double num) { return num > 0 ? floor(num + 0.5) : ceil(num - 0.5); }
roundf(float num)110 inline float roundf(float num) { return num > 0 ? floorf(num + 0.5f) : ceilf(num - 0.5f); }
trunc(double num)111 inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); }
112
113 #endif
114
115 #if COMPILER(MSVC)
116
isinf(double num)117 inline bool isinf(double num) { return !_finite(num) && !_isnan(num); }
isnan(double num)118 inline bool isnan(double num) { return !!_isnan(num); }
signbit(double num)119 inline bool signbit(double num) { return _copysign(1.0, num) < 0; }
120
nextafter(double x,double y)121 inline double nextafter(double x, double y) { return _nextafter(x, y); }
nextafterf(float x,float y)122 inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x + FLT_EPSILON; }
123
copysign(double x,double y)124 inline double copysign(double x, double y) { return _copysign(x, y); }
isfinite(double x)125 inline int isfinite(double x) { return _finite(x); }
126
127 // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values.
wtf_atan2(double x,double y)128 inline double wtf_atan2(double x, double y)
129 {
130 double posInf = std::numeric_limits<double>::infinity();
131 double negInf = -std::numeric_limits<double>::infinity();
132 double nan = std::numeric_limits<double>::quiet_NaN();
133
134 double result = nan;
135
136 if (x == posInf && y == posInf)
137 result = piOverFourDouble;
138 else if (x == posInf && y == negInf)
139 result = 3 * piOverFourDouble;
140 else if (x == negInf && y == posInf)
141 result = -piOverFourDouble;
142 else if (x == negInf && y == negInf)
143 result = -3 * piOverFourDouble;
144 else
145 result = ::atan2(x, y);
146
147 return result;
148 }
149
150 // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x.
wtf_fmod(double x,double y)151 inline double wtf_fmod(double x, double y) { return (!isinf(x) && isinf(y)) ? x : fmod(x, y); }
152
153 // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead of 1.
wtf_pow(double x,double y)154 inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); }
155
156 #define atan2(x, y) wtf_atan2(x, y)
157 #define fmod(x, y) wtf_fmod(x, y)
158 #define pow(x, y) wtf_pow(x, y)
159
160 #endif // COMPILER(MSVC)
161
deg2rad(double d)162 inline double deg2rad(double d) { return d * piDouble / 180.0; }
rad2deg(double r)163 inline double rad2deg(double r) { return r * 180.0 / piDouble; }
deg2grad(double d)164 inline double deg2grad(double d) { return d * 400.0 / 360.0; }
grad2deg(double g)165 inline double grad2deg(double g) { return g * 360.0 / 400.0; }
turn2deg(double t)166 inline double turn2deg(double t) { return t * 360.0; }
deg2turn(double d)167 inline double deg2turn(double d) { return d / 360.0; }
rad2grad(double r)168 inline double rad2grad(double r) { return r * 200.0 / piDouble; }
grad2rad(double g)169 inline double grad2rad(double g) { return g * piDouble / 200.0; }
170
deg2rad(float d)171 inline float deg2rad(float d) { return d * piFloat / 180.0f; }
rad2deg(float r)172 inline float rad2deg(float r) { return r * 180.0f / piFloat; }
deg2grad(float d)173 inline float deg2grad(float d) { return d * 400.0f / 360.0f; }
grad2deg(float g)174 inline float grad2deg(float g) { return g * 360.0f / 400.0f; }
turn2deg(float t)175 inline float turn2deg(float t) { return t * 360.0f; }
deg2turn(float d)176 inline float deg2turn(float d) { return d / 360.0f; }
rad2grad(float r)177 inline float rad2grad(float r) { return r * 200.0f / piFloat; }
grad2rad(float g)178 inline float grad2rad(float g) { return g * piFloat / 200.0f; }
179
180 #endif // #ifndef WTF_MathExtras_h
181