MathInteg_Gauss.hxx File Reference

#include <MathUtils_Types.hxx>
#include <MathUtils_Config.hxx>
#include <MathUtils_Core.hxx>
#include <MathUtils_Gauss.hxx>
#include <algorithm>
#include <cmath>

Namespaces
namespace	MathInteg
	Numerical integration algorithms.

Functions
template<typename Function >
IntegResult	MathInteg::Gauss (Function &theFunc, double theLower, double theUpper, int theNbPoints=15)
	Gauss-Legendre quadrature for definite integrals. Computes integral of f(x) from theLower to theUpper using n-point Gauss-Legendre rule.
template<typename Function >
IntegResult	MathInteg::GaussAdaptive (Function &theFunc, double theLower, double theUpper, const IntegConfig &theConfig=IntegConfig())
	Adaptive Gauss-Legendre integration. Recursively subdivides interval until error estimate is below tolerance.
template<typename Function >
IntegResult	MathInteg::GaussComposite (Function &theFunc, double theLower, double theUpper, int theNbIntervals, int theNbPoints=7)
	Composite Gauss-Legendre integration. Divides interval into subintervals and applies Gauss-Legendre to each. Simple alternative to adaptive integration.