Error Functions
[Auxiliary math functions]

Functions
std::complex< double >	itpp::erf (const std::complex< double > &z)
	Error function for complex argument.
double	itpp::erfinv (double x)
	Inverse of error function.
double	itpp::Qfunc (double x)
	Q-function.
vec	itpp::erf (const vec &x)
	Error function.
mat	itpp::erf (const mat &x)
	Error function.
cvec	itpp::erf (const cvec &x)
	Error function.
cmat	itpp::erf (const cmat &x)
	Error function.
vec	itpp::erfinv (const vec &x)
	Inverse of error function.
mat	itpp::erfinv (const mat &x)
	Inverse of error function.
vec	itpp::erfc (const vec &x)
	Complementary error function.
mat	itpp::erfc (const mat &x)
	Complementary error function.
vec	itpp::Qfunc (const vec &x)
	Q-function.
mat	itpp::Qfunc (const mat &x)
	Q-function.

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Function Documentation

std::complex< double > itpp::erf

(

const std::complex< double > &

z

)

Error function for complex argument.

Author:

Adam Piatyszek

This function calculates a well known error function erf(z) for complex z. The implementation is based on unofficial implementation for Octave. Here is a part of the author's note from original sources:

Put together by John Smith john at arrows dot demon dot co dot uk, using ideas by others.

Calculate erf(z) for complex z. Three methods are implemented; which one is used depends on z.

The code includes some hard coded constants that are intended to give about 14 decimal places of accuracy. This is appropriate for 64-bit floating point numbers.

References itpp::abs().