/usr/include/osg/Math is in libopenscenegraph-3.4-dev 3.4.1+dfsg1-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 | /* -*-c++-*- OpenSceneGraph - Copyright (C) 1998-2004 Robert Osfield
*
* This library is open source and may be redistributed and/or modified under
* the terms of the OpenSceneGraph Public License (OSGPL) version 0.0 or
* (at your option) any later version. The full license is in LICENSE file
* included with this distribution, and on the openscenegraph.org website.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* OpenSceneGraph Public License for more details.
*/
#ifndef __OSG_MATH
#define __OSG_MATH
#include <cmath>
#include <cfloat>
#include <osg/Export>
namespace osg {
// define the standard trig values
#ifdef PI
#undef PI
#undef PI_2
#undef PI_4
#endif
const double PI = 3.14159265358979323846;
const double PI_2 = 1.57079632679489661923;
const double PI_4 = 0.78539816339744830962;
const double LN_2 = 0.69314718055994530942;
const double INVLN_2 = 1.0 / LN_2;
template<typename T>
inline T absolute(T v) { return v<(T)0?-v:v; }
/** return true if float lhs and rhs are equivalent,
* meaning that the difference between them is less than an epsilon value
* which defaults to 1e-6.
*/
inline bool equivalent(float lhs,float rhs,float epsilon=1e-6)
{ float delta = rhs-lhs; return delta<0.0f?delta>=-epsilon:delta<=epsilon; }
/** return true if double lhs and rhs are equivalent,
* meaning that the difference between them is less than an epsilon value
* which defaults to 1e-6.
*/
inline bool equivalent(double lhs,double rhs,double epsilon=1e-6)
{ double delta = rhs-lhs; return delta<0.0?delta>=-epsilon:delta<=epsilon; }
/** return the minimum of two values, equivalent to std::min.
* std::min not used because of STL implementation under IRIX not containing
* std::min.
*/
template<typename T>
inline T minimum(T lhs,T rhs) { return lhs<rhs?lhs:rhs; }
/** return the maximum of two values, equivalent to std::max.
* std::max not used because of STL implementation under IRIX not containing
* std::max.
*/
template<typename T>
inline T maximum(T lhs,T rhs) { return lhs>rhs?lhs:rhs; }
template<typename T>
inline T clampTo(T v,T minimum,T maximum) { return v<minimum?minimum:v>maximum?maximum:v; }
template<typename T>
inline T clampAbove(T v,T minimum) { return v<minimum?minimum:v; }
template<typename T>
inline T clampBelow(T v,T maximum) { return v>maximum?maximum:v; }
template<typename T>
inline T clampBetween(T v,T minimum, T maximum)
{ return clampBelow(clampAbove(v,minimum),maximum); }
template<typename T>
inline T sign(T v) { return v<(T)0?(T)-1:(T)1; }
template<typename T>
inline T signOrZero(T v) { return v<(T)0 ? (T)-1 : ( v>(T)0 ? (T)1 : 0 ); }
template<typename T>
inline T square(T v) { return v*v; }
template<typename T>
inline T signedSquare(T v) { return v<(T)0?-v*v:v*v;; }
inline float inDegrees(float angle) { return angle*(float)PI/180.0f; }
inline double inDegrees(double angle) { return angle*PI/180.0; }
template<typename T>
inline T inRadians(T angle) { return angle; }
inline float DegreesToRadians(float angle) { return angle*(float)PI/180.0f; }
inline double DegreesToRadians(double angle) { return angle*PI/180.0; }
inline float RadiansToDegrees(float angle) { return angle*180.0f/(float)PI; }
inline double RadiansToDegrees(double angle) { return angle*180.0/PI; }
inline float round(float v) { return v>=0.0f?floorf(v+0.5f):ceilf(v-0.5f); }
inline double round(double v) { return v>=0.0?floor(v+0.5):ceil(v-0.5); }
#if defined(_MSC_VER)
inline bool isNaN(double v) { return _isnan(v)!=0; }
#elif defined(__ANDROID__)
inline bool isNaN(float v) { return isnan(v); }
inline bool isNaN(double v) { return isnan(v); }
#else
inline bool isNaN(float v) { return std::isnan(v); }
inline bool isNaN(double v) { return std::isnan(v); }
#endif
/** compute the volume of a tetrahedron. */
template<typename T>
inline float computeVolume(const T& a,const T& b,const T& c,const T& d)
{
return fabsf(((b-c)^(a-b))*(d-b));
}
/** compute the volume of a prism. */
template<typename T>
inline float computeVolume(const T& f1,const T& f2,const T& f3,
const T& b1,const T& b2,const T& b3)
{
return computeVolume(f1,f2,f3,b1)+
computeVolume(b1,b2,b3,f2)+
computeVolume(b1,b3,f2,f3);
}
/** Convert a ascii number to a double, ignoring locale settings.*/
extern OSG_EXPORT double asciiToDouble(const char* str);
/** Convert a ascii number to a float, ignoring locale settings.*/
inline float asciiToFloat(const char* str) { return static_cast<float>(asciiToDouble(str)); }
/** Detect first ascii POSITIVE number in string and convert to double.*/
extern OSG_EXPORT double findAsciiToDouble(const char* str);
/** Detect first ascii POSITIVE number in string and convert to double.*/
inline float findAsciiToFloat(const char* str) { return static_cast<float>(findAsciiToDouble(str)); }
}
#endif // __OSG_MATH
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