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 |
28 | |
29 | #include <float.h> |
30 | #include <limits> |
31 | #include <cmath> |
32 | #include <stdlib.h> |
33 | |
34 | #if OS(SOLARIS) |
35 | #include <ieeefp.h> |
36 | #endif |
37 | |
38 | #if OS(OPENBSD) |
39 | #include <sys/types.h> |
40 | #include <machine/ieee.h> |
41 | #endif |
42 | |
43 | #if (OS(QNX) && defined(_CPPLIB_VER)) || COMPILER(INTEL) |
44 | // FIXME: Look into a way to have cmath import its functions into both the standard and global |
45 | // namespace. For now, we include math.h since the QNX cmath header only imports its functions |
46 | // into the standard namespace. |
47 | #include <math.h> |
48 | // These macros from math.h conflict with the real functions in the std namespace. |
49 | #undef signbit |
50 | #undef isnan |
51 | #undef isinf |
52 | #undef isfinite |
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 OS(DARWIN) |
72 | |
73 | // Work around a bug in the Mac OS X libc where ceil(-0.1) return +0. |
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 OS(SOLARIS) && __cplusplus < 201103L |
81 | |
82 | namespace std { |
83 | |
84 | #ifndef isfinite |
85 | inline bool isfinite(double x) { return finite(x) && !isnand(x); } |
86 | #endif |
87 | #ifndef signbit |
88 | inline bool signbit(double x) { return copysign(1.0, x) < 0; } |
89 | #endif |
90 | #ifndef isinf |
91 | inline bool isinf(double x) { return !finite(x) && !isnand(x); } |
92 | #endif |
93 | |
94 | } // namespace std |
95 | |
96 | #endif |
97 | |
98 | #if OS(OPENBSD) && __cplusplus < 201103L |
99 | |
100 | namespace std { |
101 | |
102 | #ifndef isfinite |
103 | inline bool isfinite(double x) { return finite(x); } |
104 | #endif |
105 | #ifndef signbit |
106 | inline bool signbit(double x) { struct ieee_double *p = (struct ieee_double *)&x; return p->dbl_sign; } |
107 | #endif |
108 | |
109 | } // namespace std |
110 | |
111 | #endif |
112 | |
113 | #if (COMPILER(MSVC) && _MSC_VER < 1800) || COMPILER(RVCT) |
114 | |
115 | // We must not do 'num + 0.5' or 'num - 0.5' because they can cause precision loss. |
116 | static double round(double num) |
117 | { |
118 | double integer = ceil(num); |
119 | if (num > 0) |
120 | return integer - num > 0.5 ? integer - 1.0 : integer; |
121 | return integer - num >= 0.5 ? integer - 1.0 : integer; |
122 | } |
123 | static float roundf(float num) |
124 | { |
125 | float integer = ceilf(num); |
126 | if (num > 0) |
127 | return integer - num > 0.5f ? integer - 1.0f : integer; |
128 | return integer - num >= 0.5f ? integer - 1.0f : integer; |
129 | } |
130 | inline long long llround(double num) { return static_cast<long long>(round(num)); } |
131 | inline long long llroundf(float num) { return static_cast<long long>(roundf(num)); } |
132 | inline long lround(double num) { return static_cast<long>(round(num)); } |
133 | inline long lroundf(float num) { return static_cast<long>(roundf(num)); } |
134 | inline double trunc(double num) { return num > 0 ? floor(num) : ceil(num); } |
135 | |
136 | #endif |
137 | |
138 | #if COMPILER(MSVC) |
139 | |
140 | namespace std { |
141 | |
142 | inline bool isinf(double num) { return !_finite(num) && !_isnan(num); } |
143 | inline bool isnan(double num) { return !!_isnan(num); } |
144 | inline bool isfinite(double x) { return _finite(x); } |
145 | #if _MSC_VER < 1800 |
146 | inline bool signbit(double num) { return _copysign(1.0, num) < 0; } |
147 | #endif |
148 | |
149 | } // namespace std |
150 | |
151 | inline double nextafter(double x, double y) { return _nextafter(x, y); } |
152 | inline float nextafterf(float x, float y) { return x > y ? x - FLT_EPSILON : x + FLT_EPSILON; } |
153 | |
154 | inline double copysign(double x, double y) { return _copysign(x, y); } |
155 | |
156 | // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values. |
157 | inline double wtf_atan2(double x, double y) |
158 | { |
159 | double posInf = std::numeric_limits<double>::infinity(); |
160 | double negInf = -std::numeric_limits<double>::infinity(); |
161 | double nan = std::numeric_limits<double>::quiet_NaN(); |
162 | |
163 | double result = nan; |
164 | |
165 | if (x == posInf && y == posInf) |
166 | result = piOverFourDouble; |
167 | else if (x == posInf && y == negInf) |
168 | result = 3 * piOverFourDouble; |
169 | else if (x == negInf && y == posInf) |
170 | result = -piOverFourDouble; |
171 | else if (x == negInf && y == negInf) |
172 | result = -3 * piOverFourDouble; |
173 | else |
174 | result = ::atan2(x, y); |
175 | |
176 | return result; |
177 | } |
178 | |
179 | // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x. |
180 | extern "C" inline double wtf_fmod(double x, double y) { return (!std::isinf(x) && std::isinf(y)) ? x : fmod(x, y); } |
181 | |
182 | // Work around a bug in the Microsoft CRT, where pow(NaN, 0) yields NaN instead of 1. |
183 | extern "C" inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); } |
184 | |
185 | #define atan2(x, y) wtf_atan2(x, y) |
186 | #define fmod(x, y) wtf_fmod(x, y) |
187 | #define pow(x, y) wtf_pow(x, y) |
188 | |
189 | #endif // COMPILER(MSVC) |
190 | |
191 | inline double deg2rad(double d) { return d * piDouble / 180.0; } |
192 | inline double rad2deg(double r) { return r * 180.0 / piDouble; } |
193 | inline double deg2grad(double d) { return d * 400.0 / 360.0; } |
194 | inline double grad2deg(double g) { return g * 360.0 / 400.0; } |
195 | inline double turn2deg(double t) { return t * 360.0; } |
196 | inline double deg2turn(double d) { return d / 360.0; } |
197 | inline double rad2grad(double r) { return r * 200.0 / piDouble; } |
198 | inline double grad2rad(double g) { return g * piDouble / 200.0; } |
199 | |
200 | inline float deg2rad(float d) { return d * piFloat / 180.0f; } |
201 | inline float rad2deg(float r) { return r * 180.0f / piFloat; } |
202 | inline float deg2grad(float d) { return d * 400.0f / 360.0f; } |
203 | inline float grad2deg(float g) { return g * 360.0f / 400.0f; } |
204 | inline float turn2deg(float t) { return t * 360.0f; } |
205 | inline float deg2turn(float d) { return d / 360.0f; } |
206 | inline float rad2grad(float r) { return r * 200.0f / piFloat; } |
207 | inline float grad2rad(float g) { return g * piFloat / 200.0f; } |
208 | |
209 | #if COMPILER(MINGW64) && (!defined(__MINGW64_VERSION_RC) || __MINGW64_VERSION_RC < 1) |
210 | inline double wtf_pow(double x, double y) |
211 | { |
212 | // MinGW-w64 has a custom implementation for pow. |
213 | // This handles certain special cases that are different. |
214 | if ((x == 0.0 || std::isinf(x)) && std::isfinite(y)) { |
215 | double f; |
216 | if (modf(y, &f) != 0.0) |
217 | return ((x == 0.0) ^ (y > 0.0)) ? std::numeric_limits<double>::infinity() : 0.0; |
218 | } |
219 | |
220 | if (x == 2.0) { |
221 | int yInt = static_cast<int>(y); |
222 | if (y == yInt) |
223 | return ldexp(1.0, yInt); |
224 | } |
225 | |
226 | return pow(x, y); |
227 | } |
228 | #define pow(x, y) wtf_pow(x, y) |
229 | #endif // COMPILER(MINGW64) && (!defined(__MINGW64_VERSION_RC) || __MINGW64_VERSION_RC < 1) |
230 | |
231 | #endif // #ifndef WTF_MathExtras_h |
232 | |