Math

Group of utility functions for numerical integration. More...

Classes
struct	Elegent::RealIntegPar
	Set of parameters for integration of a real function. More...
struct	Elegent::OneCompIntegPar
	Set of parameters for integration of a part of a complex function. More...

Typedefs
typedef double(*	Elegent::RealFunction) (double x, double *par, const void *obj)
	Represents a real function of real variable. More...
typedef TComplex(*	Elegent::ComplexFunction) (double x, double *par, const void *obj)
	Represents a complex function of real variable.

Enumerations
enum	Elegent::OneCompIntegPar::Part { pUndefined, pReal, pImaginary }
	part to integrate

Functions
double	Elegent::RealIntegrate (RealFunction fcn, double *par, const void *object, double from, double to, double abs_err, double rel_err, unsigned long work_space_size, gsl_integration_workspace *work_space, const char *errorLabel="")
	Integration of a real function of a real variable. More...
TComplex	Elegent::ComplexIntegrate (ComplexFunction fcn, double *par, const void *object, double from, double to, double abs_err, double rel_err, unsigned long work_space_size, gsl_integration_workspace *work_space, const char *errorLabel="")
	Integration of a complex function of a real variable.
double	Elegent::RealIntegFcn (double x, void *vpar)
	Evaluates a given real function with a given parameter set.
double	Elegent::OneCompIntegFcn (double x, void *par)
	Evaluates a given part of a give complex function with a given parameter set.

Variables
bool	Elegent::abortOnIntegrationError = false
	Abort when integration error occurs? More...

Detailed Description

Group of utility functions for numerical integration.

Typedef Documentation

typedef double(* Elegent::RealFunction) (double x, double *par, const void *obj)

Represents a real function of real variable.

Parameters

x	is the integration variable
par	is intended for additional numerical parameters
obj	is inteded for an object pointer

Function Documentation

double Elegent::RealIntegrate	(	RealFunction	fcn,
		double *	par,
		const void *	object,
		double	from,
		double	to,
		double	abs_err,
		double	rel_err,
		unsigned long	work_space_size,
		gsl_integration_workspace *	work_space,
		const char *	errorLabel = ""
	)

Integration of a real function of a real variable.

Parameters

fcn	function to integrate
par	optional numerical parameters
object	optional object parameter
from	lower integration bound
to	upper integration bound
abs_err	requested absolute error on the result
rel_err	requested relative error on the result
work_space_size	size to GSL integration workspace
work_space	pointer to GSL integration workspace
errorLabel	caption of (possible) error messages

Variable Documentation

bool Elegent::abortOnIntegrationError = false

Abort when integration error occurs?

false by default