/usr/include/libwildmagic/Wm5Math.h is in libwildmagic-dev 5.13-1ubuntu3.
This file is owned by root:root, with mode 0o644.
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// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.2 (2010/10/01)
#ifndef WM5MATH_H
#define WM5MATH_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Assert.h"
#include <cfloat>
#include <cmath>
#include <cstdlib>
// TODO. Provide SIMD versions of the implementations for whatever platforms
// we support.
namespace Wm5
{
template <typename Real>
class Math
{
public:
// Wrappers to hide implementations of functions. The ACos and ASin
// functions clamp the input argument to [-1,1] to avoid NaN issues
// when the input is slightly larger than 1 or slightly smaller than -1.
// Other functions have the potential for using a fast and approximate
// algorithm rather than calling the standard math library functions.
static Real ACos (Real value);
static Real ASin (Real value);
static Real ATan (Real value);
static Real ATan2 (Real y, Real x);
static Real Ceil (Real value);
static Real Cos (Real value);
static Real Exp (Real value);
static Real FAbs (Real value);
static Real Floor (Real value);
static Real FMod (Real x, Real y);
static Real InvSqrt (Real value);
static Real Log (Real value);
static Real Log2 (Real value);
static Real Log10 (Real value);
static Real Pow (Real base, Real exponent);
static Real Sin (Real value);
static Real Sqr (Real value);
static Real Sqrt (Real value);
static Real Tan (Real value);
// Return -1 if the input is negative, 0 if the input is zero, and +1
// if the input is positive.
static int Sign (int value);
static Real Sign (Real value);
// Generate a random number in [0,1]. The random number generator may
// be seeded by a first call to UnitRandom with a positive seed.
static Real UnitRandom (unsigned int seed = 0);
// Generate a random number in [-1,1]. The random number generator may
// be seeded by a first call to SymmetricRandom with a positive seed.
static Real SymmetricRandom (unsigned int seed = 0);
// Generate a random number in [min,max]. The random number generator may
// be seeded by a first call to IntervalRandom with a positive seed.
static Real IntervalRandom (Real min, Real max, unsigned int seed = 0);
// Clamp the input to the specified interval [min,max].
static Real Clamp (Real value, Real minValue, Real maxValue);
// Clamp the input to [0,1].
static Real Saturate (Real value);
// Fast evaluation of trigonometric and inverse trigonometric functions
// using polynomial approximations. The speed ups vary with processor.
// The input must be in [0,pi/2].
static Real FastSin0 (Real angle);
static Real FastSin1 (Real angle);
// The input must be in [0,pi/2]
static Real FastCos0 (Real angle);
static Real FastCos1 (Real angle);
// The input must be in [0,pi/4].
static Real FastTan0 (Real angle);
static Real FastTan1 (Real angle);
// The input must be in [0,1].
static Real FastInvSin0 (Real value);
static Real FastInvSin1 (Real value);
// The input must be in [0,1].
static Real FastInvCos0 (Real value);
static Real FastInvCos1 (Real value);
// The input must be in [-1,1].
static Real FastInvTan0 (Real value);
static Real FastInvTan1 (Real value);
// Fast approximations to exp(-x). The input x must be in [0,infinity).
static Real FastNegExp0 (Real value);
static Real FastNegExp1 (Real value);
static Real FastNegExp2 (Real value);
static Real FastNegExp3 (Real value);
// Common constants.
WM5_MATHEMATICS_ITEM static const Real EPSILON;
WM5_MATHEMATICS_ITEM static const Real ZERO_TOLERANCE;
WM5_MATHEMATICS_ITEM static const Real MAX_REAL;
WM5_MATHEMATICS_ITEM static const Real PI;
WM5_MATHEMATICS_ITEM static const Real TWO_PI;
WM5_MATHEMATICS_ITEM static const Real HALF_PI;
WM5_MATHEMATICS_ITEM static const Real INV_PI;
WM5_MATHEMATICS_ITEM static const Real INV_TWO_PI;
WM5_MATHEMATICS_ITEM static const Real DEG_TO_RAD;
WM5_MATHEMATICS_ITEM static const Real RAD_TO_DEG;
WM5_MATHEMATICS_ITEM static const Real LN_2;
WM5_MATHEMATICS_ITEM static const Real LN_10;
WM5_MATHEMATICS_ITEM static const Real INV_LN_2;
WM5_MATHEMATICS_ITEM static const Real INV_LN_10;
WM5_MATHEMATICS_ITEM static const Real SQRT_2;
WM5_MATHEMATICS_ITEM static const Real INV_SQRT_2;
WM5_MATHEMATICS_ITEM static const Real SQRT_3;
WM5_MATHEMATICS_ITEM static const Real INV_SQRT_3;
};
#include "Wm5Math.inl"
typedef Math<float> Mathf;
typedef Math<double> Mathd;
}
#endif
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