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WTF

MathExtras.h

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00001 /*
00002  * Copyright (C) 2006, 2007 Apple Inc.  All rights reserved.
00003  *
00004  * Redistribution and use in source and binary forms, with or without
00005  * modification, are permitted provided that the following conditions
00006  * are met:
00007  * 1. Redistributions of source code must retain the above copyright
00008  *    notice, this list of conditions and the following disclaimer.
00009  * 2. Redistributions in binary form must reproduce the above copyright
00010  *    notice, this list of conditions and the following disclaimer in the
00011  *    documentation and/or other materials provided with the distribution.
00012  *
00013  * THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
00014  * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
00015  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
00016  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL APPLE COMPUTER, INC. OR
00017  * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
00018  * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
00019  * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
00020  * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
00021  * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
00022  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
00023  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
00024  */
00025 
00026 #ifndef WTF_MathExtras_h
00027 #define WTF_MathExtras_h
00028 
00029 #include <math.h>
00030 
00031 #if PLATFORM(WIN)
00032 
00033 #include "kjs/operations.h"
00034 #include "kjs/value.h"
00035 #include <xmath.h>
00036 #include <limits>
00037 
00038 #if HAVE(FLOAT_H)
00039 #include <float.h>
00040 #endif
00041 
00042 #endif
00043 
00044 #ifndef M_PI
00045 const double piDouble = 3.14159265358979323846;
00046 const float piFloat = 3.14159265358979323846f;
00047 #else
00048 const double piDouble = M_PI;
00049 const float piFloat = static_cast<float>(M_PI);
00050 #endif
00051 
00052 #ifndef M_PI_4
00053 const double piOverFourDouble = 0.785398163397448309616;
00054 const float piOverFourFloat = 0.785398163397448309616f;
00055 #else
00056 const double piOverFourDouble = M_PI_4;
00057 const float piOverFourFloat = static_cast<float>(M_PI_4);
00058 #endif     // !BUILDING_KDE__
00059 
00060 #if COMPILER(MSVC)
00061 
00062 #ifndef BUILDING_KDE__
00063  inline bool isinf(double num) { return !_finite(num) && !_isnan(num); }
00064  inline bool isnan(double num) { return _isnan(num); }
00065  inline long lround(double num) { return num > 0 ? num + 0.5 : ceil(num - 0.5); }
00066  inline long lroundf(float num) { return num > 0 ? num + 0.5f : ceilf(num - 0.5f); }
00067  inline double round(double num) { return num > 0 ? floor(num + 0.5) : ceil(num - 0.5); }
00068  inline float roundf(float num) { return num > 0 ? floorf(num + 0.5f) : ceilf(num - 0.5f); }
00069  inline bool signbit(double num) { return _copysign(1.0, num) < 0; }
00070 #endif
00071 
00072 #ifndef BUILDING_KDE__
00073 // FIXME: where to get std::numeric_limits from?
00074 // Work around a bug in Win, where atan2(+-infinity, +-infinity) yields NaN instead of specific values.
00075 inline double wtf_atan2(double x, double y)
00076 {
00077     static double posInf = std::numeric_limits<double>::infinity();
00078     static double negInf = -std::numeric_limits<double>::infinity();
00079 
00080     double result = KJS::NaN;
00081 
00082     if (x == posInf && y == posInf)
00083         result = piOverFourDouble;
00084     else if (x == posInf && y == negInf)
00085         result = 3 * piOverFourDouble;
00086     else if (x == negInf && y == posInf)
00087         result = -piOverFourDouble;
00088     else if (x == negInf && y == negInf)
00089         result = -3 * piOverFourDouble;
00090     else
00091         result = ::atan2(x, y);
00092 
00093     return result;
00094 }
00095 #else      // !BUILDING_KDE__
00096 
00097 #define wtf_atan2(x, y) atan2(x, y)
00098 
00099 #endif     // !BUILDING_KDE__
00100 
00101 #if COMPILER(MSVC)
00102 
00103 // Work around a bug in the Microsoft CRT, where fmod(x, +-infinity) yields NaN instead of x.
00104 inline double wtf_fmod(double x, double y) { return (!isinf(x) && isinf(y)) ? x : fmod(x, y); }
00105 
00106 #define fmod(x, y) wtf_fmod(x, y)
00107 
00108 #endif // #if COMPILER(MSVC)
00109 
00110 #define atan2(x, y) wtf_atan2(x, y)
00111 
00112 #endif // #if PLATFORM(WIN)
00113 
00114 inline double deg2rad(double d)  { return d * piDouble / 180.0; }
00115 inline double rad2deg(double r)  { return r * 180.0 / piDouble; }
00116 inline double deg2grad(double d) { return d * 400.0 / 360.0; }
00117 inline double grad2deg(double g) { return g * 360.0 / 400.0; }
00118 inline double rad2grad(double r) { return r * 200.0 / piDouble; }
00119 inline double grad2rad(double g) { return g * piDouble / 200.0; }
00120 
00121 inline float deg2rad(float d)  { return d * piFloat / 180.0f; }
00122 inline float rad2deg(float r)  { return r * 180.0f / piFloat; }
00123 inline float deg2grad(float d) { return d * 400.0f / 360.0f; }
00124 inline float grad2deg(float g) { return g * 360.0f / 400.0f; }
00125 inline float rad2grad(float r) { return r * 200.0f / piFloat; }
00126 inline float grad2rad(float g) { return g * piFloat / 200.0f; }
00127 
00128 #endif // #ifndef WTF_MathExtras_h

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