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/**
@file g3dmath.inl
@maintainer Morgan McGuire, matrix@graphics3d.com
@created 2001-06-02
@edited 2006-01-14
*/
#include <stdlib.h>
#ifdef _MSC_VER
// Disable conditional expression is constant, which occurs incorrectly on inlined functions
# pragma warning (push)
# pragma warning( disable : 4127 )
#endif
namespace G3D {
inline bool isNaN(double x) {
bool b1 = (x < 0.0);
bool b2 = (x >= 0.0);
bool b3 = !(b1 || b2);
return b3;
}
inline bool isFinite(double x) {
return ! isNaN(x) && (x < G3D::inf()) && (x > -G3D::inf());
}
//----------------------------------------------------------------------------
inline int iAbs (int iValue) {
return ( iValue >= 0 ? iValue : -iValue );
}
//----------------------------------------------------------------------------
inline int iCeil (double fValue) {
return int(::ceil(fValue));
}
//----------------------------------------------------------------------------
inline int iClamp(int val, int low, int hi) {
debugAssert(low <= hi);
if (val <= low) {
return low;
} else if (val >= hi) {
return hi;
} else {
return val;
}
}
//----------------------------------------------------------------------------
inline double clamp(double val, double low, double hi) {
debugAssert(low <= hi);
if (val <= low) {
return low;
} else if (val >= hi) {
return hi;
} else {
return val;
}
}
inline float clamp(float val, float low, float hi) {
debugAssert(low <= hi);
if (val <= low) {
return low;
} else if (val >= hi) {
return hi;
} else {
return val;
}
}
//----------------------------------------------------------------------------
inline int iWrap(int val, int hi) {
if (val < 0) {
return ((val % hi) + hi) % hi;
} else {
return val % hi;
}
}
//----------------------------------------------------------------------------
inline int iFloor (double fValue) {
return int(::floor(fValue));
}
//----------------------------------------------------------------------------
inline int iSign (int iValue) {
return ( iValue > 0 ? + 1 : ( iValue < 0 ? -1 : 0 ) );
}
inline int iSign (double fValue) {
return ( fValue > 0.0 ? + 1 : ( fValue < 0.0 ? -1 : 0 ) );
}
//----------------------------------------------------------------------------
inline double abs (double fValue) {
return double(::fabs(fValue));
}
//----------------------------------------------------------------------------
inline double aCos (double fValue) {
if ( -1.0 < fValue ) {
if ( fValue < 1.0 )
return double(::acos(fValue));
else
return 0.0;
} else {
return G3D_PI;
}
}
//----------------------------------------------------------------------------
inline double aSin (double fValue) {
if ( -1.0 < fValue ) {
if ( fValue < 1.0 ) {
return double(::asin(fValue));
} else {
return -G3D_HALF_PI;
}
} else {
return G3D_HALF_PI;
}
}
//----------------------------------------------------------------------------
inline double aTan (double fValue) {
return double(::atan(fValue));
}
//----------------------------------------------------------------------------
inline double aTan2 (double fY, double fX) {
return double(::atan2(fY, fX));
}
//----------------------------------------------------------------------------
inline double sign (double fValue) {
if (fValue > 0.0) {
return 1.0;
}
if (fValue < 0.0) {
return -1.0;
}
return 0.0;
}
inline double G3D_DEPRECATED unitRandom () {
return double(::rand()) / double(RAND_MAX);
}
inline float uniformRandom(float low, float hi) {
return (hi - low) * float(::rand()) / float(RAND_MAX) + low;
}
//----------------------------------------------------------------------------
inline double G3D_DEPRECATED symmetricRandom () {
return 2.0 * double(::rand()) / double(RAND_MAX) - 1.0;
}
//----------------------------------------------------------------------------
inline double square(double x) {
return x * x;
}
//----------------------------------------------------------------------------
inline double sumSquares(double x, double y) {
return x*x + y*y;
}
//----------------------------------------------------------------------------
inline double sumSquares(double x, double y, double z) {
return x*x + y*y + z*z;
}
//----------------------------------------------------------------------------
inline double distance(double x, double y) {
return sqrt(sumSquares(x, y));
}
//----------------------------------------------------------------------------
inline double distance(double x, double y, double z) {
return sqrt(sumSquares(x, y, z));
}
//----------------------------------------------------------------------------
/** @deprecated use G3D::min */
inline int iMin(int x, int y) {
return (x >= y) ? y : x;
}
//----------------------------------------------------------------------------
/** @deprecated use G3D::min */
inline int iMax(int x, int y) {
return (x >= y) ? x : y;
}
//----------------------------------------------------------------------------
inline int ceilPow2(unsigned int in) {
in -= 1;
in |= in >> 16;
in |= in >> 8;
in |= in >> 4;
in |= in >> 2;
in |= in >> 1;
return in + 1;
}
inline bool isPow2(int num) {
return ((num & -num) == num);
}
inline bool isOdd(int num) {
return (num & 1) == 1;
}
inline bool isEven(int num) {
return (num & 1) == 0;
}
inline double toRadians(double deg) {
return deg * G3D_PI / 180.0;
}
inline double toDegrees(double rad) {
return rad * 180.0 / G3D_PI;
}
/**
Computes an appropriate epsilon for comparing a and b.
*/
inline double eps(double a, double b) {
// For a and b to be nearly equal, they must have nearly
// the same magnitude. This means that we can ignore b
// since it either has the same magnitude or the comparison
// will fail anyway.
(void)b;
const double aa = abs(a) + 1;
if (aa == inf()) {
return fuzzyEpsilon;
} else {
return fuzzyEpsilon * aa;
}
}
inline bool fuzzyEq(double a, double b) {
return (a == b) || (abs(a - b) <= eps(a, b));
}
inline bool fuzzyNe(double a, double b) {
return ! fuzzyEq(a, b);
}
inline bool fuzzyGt(double a, double b) {
return a > b + eps(a, b);
}
inline bool fuzzyGe(double a, double b) {
return a > b - eps(a, b);
}
inline bool fuzzyLt(double a, double b) {
return a < b - eps(a, b);
}
inline bool fuzzyLe(double a, double b) {
return a < b + eps(a, b);
}
inline int iMod3(int x) {
return x % 3;
}
} // namespace G3D
#ifdef _MSC_VER
// Disable conditional expression is constant, which occurs incorrectly on inlined functions
# pragma warning (pop)
#endif
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