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1 | /* |
2 | * Copyright (C) 2006, 2007 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 | #include <time.h> | |
32 | ||
33 | #if PLATFORM(SOLARIS) && COMPILER(GCC) | |
34 | #include <ieeefp.h> | |
35 | #endif | |
36 | ||
37 | #if COMPILER(MSVC) | |
38 | ||
39 | #include <xmath.h> | |
40 | #include <limits> | |
41 | ||
42 | #if HAVE(FLOAT_H) | |
43 | #include <float.h> | |
44 | #endif | |
45 | ||
46 | #endif | |
47 | ||
48 | #ifndef M_PI | |
49 | const double piDouble = 3.14159265358979323846; | |
50 | const float piFloat = 3.14159265358979323846f; | |
51 | #else | |
52 | const double piDouble = M_PI; | |
53 | const float piFloat = static_cast<float>(M_PI); | |
54 | #endif | |
55 | ||
56 | #ifndef M_PI_4 | |
57 | const double piOverFourDouble = 0.785398163397448309616; | |
58 | const float piOverFourFloat = 0.785398163397448309616f; | |
59 | #else | |
60 | const double piOverFourDouble = M_PI_4; | |
61 | const float piOverFourFloat = static_cast<float>(M_PI_4); | |
62 | #endif | |
63 | ||
64 | #if PLATFORM(SOLARIS) && COMPILER(GCC) | |
65 | ||
66 | #ifndef isfinite | |
67 | inline bool isfinite(double x) { return finite(x) && !isnand(x); } | |
68 | #endif | |
69 | #ifndef isinf | |
70 | inline bool isinf(double x) { return !finite(x) && !isnand(x); } | |
71 | #endif | |
72 | #ifndef signbit | |
73 | inline bool signbit(double x) { return x < 0.0; } // FIXME: Wrong for negative 0. | |
74 | #endif | |
75 | ||
76 | #endif | |
77 | ||
78 | #if COMPILER(MSVC) | |
79 | ||
80 | inline bool isinf(double num) { return !_finite(num) && !_isnan(num); } | |
81 | inline bool isnan(double num) { return !!_isnan(num); } | |
82 | inline long lround(double num) { return static_cast<long>(num > 0 ? num + 0.5 : ceil(num - 0.5)); } | |
83 | inline long lroundf(float num) { return static_cast<long>(num > 0 ? num + 0.5f : ceilf(num - 0.5f)); } | |
84 | inline double round(double num) { return num > 0 ? floor(num + 0.5) : ceil(num - 0.5); } | |
85 | inline float roundf(float num) { return num > 0 ? floorf(num + 0.5f) : ceilf(num - 0.5f); } | |
86 | inline bool signbit(double num) { return _copysign(1.0, num) < 0; } | |
87 | inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); } | |
88 | ||
89 | inline double nextafter(double x, double y) { return _nextafter(x, y); } | |
90 | inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x + FLT_EPSILON; } | |
91 | ||
92 | inline double copysign(double x, double y) { return _copysign(x, y); } | |
93 | inline int isfinite(double x) { return _finite(x); } | |
94 | ||
95 | // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values. | |
96 | inline double wtf_atan2(double x, double y) | |
97 | { | |
98 | static double posInf = std::numeric_limits<double>::infinity(); | |
99 | static double negInf = -std::numeric_limits<double>::infinity(); | |
100 | static double nan = std::numeric_limits<double>::quiet_NaN(); | |
101 | ||
102 | double result = nan; | |
103 | ||
104 | if (x == posInf && y == posInf) | |
105 | result = piOverFourDouble; | |
106 | else if (x == posInf && y == negInf) | |
107 | result = 3 * piOverFourDouble; | |
108 | else if (x == negInf && y == posInf) | |
109 | result = -piOverFourDouble; | |
110 | else if (x == negInf && y == negInf) | |
111 | result = -3 * piOverFourDouble; | |
112 | else | |
113 | result = ::atan2(x, y); | |
114 | ||
115 | return result; | |
116 | } | |
117 | ||
118 | // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x. | |
119 | inline double wtf_fmod(double x, double y) { return (!isinf(x) && isinf(y)) ? x : fmod(x, y); } | |
120 | ||
121 | // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead of 1. | |
122 | inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); } | |
123 | ||
124 | #define atan2(x, y) wtf_atan2(x, y) | |
125 | #define fmod(x, y) wtf_fmod(x, y) | |
126 | #define pow(x, y) wtf_pow(x, y) | |
127 | ||
128 | #if defined(_CRT_RAND_S) | |
129 | // Initializes the random number generator. | |
130 | inline void wtf_random_init() | |
131 | { | |
132 | // No need to initialize for rand_s. | |
133 | } | |
134 | ||
135 | // Returns a pseudo-random number in the range [0, 1). | |
136 | inline double wtf_random() | |
137 | { | |
138 | unsigned u; | |
139 | rand_s(&u); | |
140 | ||
141 | return static_cast<double>(u) / (static_cast<double>(UINT_MAX) + 1.0); | |
142 | } | |
143 | #endif // _CRT_RAND_S | |
144 | ||
145 | #endif // COMPILER(MSVC) | |
146 | ||
147 | #if !COMPILER(MSVC) || !defined(_CRT_RAND_S) | |
148 | ||
149 | // Initializes the random number generator. | |
150 | inline void wtf_random_init() | |
151 | { | |
152 | srand(static_cast<unsigned>(time(0))); | |
153 | } | |
154 | ||
155 | // Returns a pseudo-random number in the range [0, 1). | |
156 | inline double wtf_random() | |
157 | { | |
158 | return static_cast<double>(rand()) / (static_cast<double>(RAND_MAX) + 1.0); | |
159 | } | |
160 | ||
161 | #endif // #if COMPILER(MSVC) | |
162 | ||
163 | inline double deg2rad(double d) { return d * piDouble / 180.0; } | |
164 | inline double rad2deg(double r) { return r * 180.0 / piDouble; } | |
165 | inline double deg2grad(double d) { return d * 400.0 / 360.0; } | |
166 | inline double grad2deg(double g) { return g * 360.0 / 400.0; } | |
167 | inline double rad2grad(double r) { return r * 200.0 / piDouble; } | |
168 | inline double grad2rad(double g) { return g * piDouble / 200.0; } | |
169 | ||
170 | inline float deg2rad(float d) { return d * piFloat / 180.0f; } | |
171 | inline float rad2deg(float r) { return r * 180.0f / piFloat; } | |
172 | inline float deg2grad(float d) { return d * 400.0f / 360.0f; } | |
173 | inline float grad2deg(float g) { return g * 360.0f / 400.0f; } | |
174 | inline float rad2grad(float r) { return r * 200.0f / piFloat; } | |
175 | inline float grad2rad(float g) { return g * piFloat / 200.0f; } | |
176 | ||
177 | #endif // #ifndef WTF_MathExtras_h |