gpmp::NumericalAnalysis Class Reference

#include <analysis.hpp>

Public Member Functions
double	numDiff (double(*function)(double), double x)
double	numDiff_2 (double(*function)(double), double x)
double	numDiff_3 (double(*function)(double), double x)
double	constantApproximation (double(*function)(double), double c)
double	linearApproximation (double(*function)(double), double c, double x)
double	quadraticApproximation (double(*function)(double), double c, double x)
double	cubicApproximation (double(*function)(double), double c, double x)
double	numDiff (double(*function)(std::vector< double >), std::vector< double > x, int axis)
double	numDiff_2 (double(*function)(std::vector< double >), std::vector< double > x, int axis1, int axis2)
double	numDiff_3 (double(*function)(std::vector< double >), std::vector< double > x, int axis1, int axis2, int axis3)
double	newtonRaphsonMethod (double(*function)(double), double x_0, double epoch_num)
double	halleyMethod (double(*function)(double), double x_0, double epoch_num)
double	invQuadraticInterpolation (double(*function)(double), std::vector< double > x_0, double epoch_num)
double	eulerianMethod (double(*derivative)(double), std::vector< double > q_0, double p, double h)
double	eulerianMethod (double(*derivative)(std::vector< double >), std::vector< double > q_0, double p, double h)
double	growthMethod (double C, double k, double t)
std::vector< double >	jacobian (double(*function)(std::vector< double >), std::vector< double > x)
std::vector< std::vector< double > >	hessian (double(*function)(std::vector< double >), std::vector< double > x)
std::vector< std::vector< std::vector< double > > >	thirdOrderTensor (double(*function)(std::vector< double >), std::vector< double > x)
double	constantApproximation (double(*function)(std::vector< double >), std::vector< double > c)
double	linearApproximation (double(*function)(std::vector< double >), std::vector< double > c, std::vector< double > x)
double	quadraticApproximation (double(*function)(std::vector< double >), std::vector< double > c, std::vector< double > x)
double	cubicApproximation (double(*function)(std::vector< double >), std::vector< double > c, std::vector< double > x)
double	laplacian (double(*function)(std::vector< double >), std::vector< double > x)
std::string	secondPartialDerivativeTest (double(*function)(std::vector< double >), std::vector< double > x)

Detailed Description

Definition at line 47 of file analysis.hpp.

Member Function Documentation

constantApproximation() [1/2]

double gpmp::NumericalAnalysis::constantApproximation	(	double(*)(double)	function,
		double	c
	)

constantApproximation() [2/2]

double gpmp::NumericalAnalysis::constantApproximation	(	double(*)(std::vector< double >)	function,
		std::vector< double >	c
	)

cubicApproximation() [1/2]

double gpmp::NumericalAnalysis::cubicApproximation	(	double(*)(double)	function,
		double	c,
		double	x
	)

cubicApproximation() [2/2]

double gpmp::NumericalAnalysis::cubicApproximation	(	double(*)(std::vector< double >)	function,
		std::vector< double >	c,
		std::vector< double >	x
	)

eulerianMethod() [1/2]

double gpmp::NumericalAnalysis::eulerianMethod	(	double(*)(double)	derivative,
		std::vector< double >	q_0,
		double	p,
		double	h
	)

eulerianMethod() [2/2]

double gpmp::NumericalAnalysis::eulerianMethod	(	double(*)(std::vector< double >)	derivative,
		std::vector< double >	q_0,
		double	p,
		double	h
	)

growthMethod()

double gpmp::NumericalAnalysis::growthMethod	(	double	C,
		double	k,
		double	t
	)

halleyMethod()

double gpmp::NumericalAnalysis::halleyMethod	(	double(*)(double)	function,
		double	x_0,
		double	epoch_num
	)

hessian()

std::vector<std::vector<double> > gpmp::NumericalAnalysis::hessian	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x
	)

invQuadraticInterpolation()

double gpmp::NumericalAnalysis::invQuadraticInterpolation	(	double(*)(double)	function,
		std::vector< double >	x_0,
		double	epoch_num
	)

jacobian()

std::vector<double> gpmp::NumericalAnalysis::jacobian	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x
	)

laplacian()

double gpmp::NumericalAnalysis::laplacian	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x
	)

linearApproximation() [1/2]

double gpmp::NumericalAnalysis::linearApproximation	(	double(*)(double)	function,
		double	c,
		double	x
	)

linearApproximation() [2/2]

double gpmp::NumericalAnalysis::linearApproximation	(	double(*)(std::vector< double >)	function,
		std::vector< double >	c,
		std::vector< double >	x
	)

newtonRaphsonMethod()

double gpmp::NumericalAnalysis::newtonRaphsonMethod	(	double(*)(double)	function,
		double	x_0,
		double	epoch_num
	)

numDiff() [1/2]

double gpmp::NumericalAnalysis::numDiff	(	double(*)(double)	function,
		double	x
	)

numDiff() [2/2]

double gpmp::NumericalAnalysis::numDiff	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x,
		int	axis
	)

numDiff_2() [1/2]

double gpmp::NumericalAnalysis::numDiff_2	(	double(*)(double)	function,
		double	x
	)

numDiff_2() [2/2]

double gpmp::NumericalAnalysis::numDiff_2	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x,
		int	axis1,
		int	axis2
	)

numDiff_3() [1/2]

double gpmp::NumericalAnalysis::numDiff_3	(	double(*)(double)	function,
		double	x
	)

numDiff_3() [2/2]

double gpmp::NumericalAnalysis::numDiff_3	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x,
		int	axis1,
		int	axis2,
		int	axis3
	)

quadraticApproximation() [1/2]

double gpmp::NumericalAnalysis::quadraticApproximation	(	double(*)(double)	function,
		double	c,
		double	x
	)

quadraticApproximation() [2/2]

double gpmp::NumericalAnalysis::quadraticApproximation	(	double(*)(std::vector< double >)	function,
		std::vector< double >	c,
		std::vector< double >	x
	)

secondPartialDerivativeTest()

std::string gpmp::NumericalAnalysis::secondPartialDerivativeTest	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x
	)

thirdOrderTensor()

std::vector<std::vector<std::vector<double> > > gpmp::NumericalAnalysis::thirdOrderTensor	(	double(*)(std::vector< double >)	function,
		std::vector< double >	x
	)

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The documentation for this class was generated from the following file:

• include/openGPMP/calculus/analysis.hpp