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Functions
Error Functions
Basic and Miscellaneous 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.
 

Detailed Description

Function Documentation

ITPP_EXPORT 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.

Definition at line 154 of file error.cpp.

References itpp::abs(), itpp::cerf_continued_fraction(), itpp::cerf_rybicki(), and itpp::cerf_series().

Referenced by itpp::erf().

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