#include "UT_API.h"
#include <SYS/SYS_Types.h>
#include "UT_Complex.h"

Include dependency graph for UT_Erf.h:

Functions
UT_API UT_Complex	UTdawson (const UT_Complex &z, int niters=35)

UT_API fpreal	UTerf (fpreal x)
	Returns the evaluation of erf(x), where x is real-valued. More...

UT_API UT_Complex	UTerf (const UT_Complex &z, fpreal eps=1e-15, int niters=1000)

UT_API UT_Complex	UTerfi (fpreal x)
	Returns the evaluation of erfi(x). More...

Function Documentation

UT_API UT_Complex UTdawson	(	const UT_Complex &	z,
		int	niters = `35`
	)

Returns the value of Dawson's function:

F(x) = exp(-x^2) * int(exp(y^2), y, 0, x).

evaluated in the complex plane. Accuracy increases as niters increases. Note that niters must be odd.

UT_API fpreal UTerf ( fpreal x )

Returns the evaluation of erf(x), where x is real-valued.

UT_API UT_Complex UTerf	(	const UT_Complex &	z,
		fpreal	eps = `1e-15`,
		int	niters = `1000`
	)

Returns the evaluation of erf(z) given a very small number, eps, which controls the accuracy of the result, and an upper bound on the number of iterations allowed, niters. This function evaluates a continued fraction representation of erf.

UT_API UT_Complex UTerfi ( fpreal x )

Returns the evaluation of erfi(x).

Functions

Function Documentation