MathUtils_Core.hxx File Reference

#include <math_Vector.hxx>
#include <cmath>
#include <algorithm>
#include <limits>

Namespaces
namespace	MathUtils
	Modern math solver types and result structures.

Functions
constexpr double	MathUtils::Clamp (double theValue, double theLower, double theUpper)
	Clamp value to range [theLower, theUpper].
bool	MathUtils::IsZero (double theValue, double theTolerance=THE_ZERO_TOL)
	Check if value is effectively zero.
bool	MathUtils::IsEqual (double theA, double theB, double theTolerance=THE_ZERO_TOL)
	Check if two values are approximately equal.
double	MathUtils::SafeDiv (double theNumerator, double theDenominator, double theDefault=0.0)
	Safe division avoiding division by zero.
int	MathUtils::Sign (double theValue)
	Sign function.
double	MathUtils::SignTransfer (double theA, double theB)
	Sign transfer function: returns |theA| with sign of theB. Equivalent to copysign but avoids edge cases with zero.
constexpr double	MathUtils::Sqr (double theValue)
	Square of a value.
constexpr double	MathUtils::Cube (double theValue)
	Cube of a value.
double	MathUtils::CubeRoot (double theValue)
	Cube root with proper sign handling. Unlike std::cbrt, this handles negative values correctly on all platforms.
bool	MathUtils::IsFinite (double theValue)
	Check if value is finite (not NaN or Inf).
double	MathUtils::ComputeScaleFactor (const double *theCoeffs, int theCount)
	Compute scaling factor for coefficient normalization. Used to improve numerical stability by scaling coefficients.
double	MathUtils::DotProduct (const math_Vector &theA, const math_Vector &theB)
	Compute dot product of two vectors.
double	MathUtils::VectorNorm (const math_Vector &theVec)
	Compute Euclidean norm of a vector.
double	MathUtils::VectorInfNorm (const math_Vector &theVec)
	Compute infinity norm (maximum absolute value) of a vector.

Variables
constexpr double	MathUtils::THE_EPSILON = std::numeric_limits<double>::epsilon()
	Machine epsilon for double precision.
constexpr double	MathUtils::THE_ZERO_TOL = 1.0e-15
	Small value for zero comparisons (more practical than epsilon).
constexpr double	MathUtils::THE_PI = 3.14159265358979323846
	Pi constant.
constexpr double	MathUtils::THE_2PI = 6.28318530717958647692
	Two Pi constant.
constexpr double	MathUtils::THE_GOLDEN_RATIO = 1.618033988749895
	Golden ratio for optimization algorithms.
constexpr double	MathUtils::THE_GOLDEN_SECTION = 0.381966011250105
	Inverse golden ratio (1 - 1/phi).