IT++ 4.3.1

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

◆ erf() [1/5]

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 abs(), std::abs(), cerf_continued_fraction(), cerf_rybicki(), and cerf_series().

Referenced by erf(), erf(), erf(), and erf().

◆ erfinv() [1/3]

ITPP_EXPORT double itpp::erfinv ( double P)

Inverse of error function.

Definition at line 169 of file error.cpp.

References it_error_if, log(), and sign().

Referenced by erfinv(), erfinv(), and itpp::Rice_Fading_Generator::init_MEDS().

◆ Qfunc() [1/3]

ITPP_EXPORT double itpp::Qfunc ( double x)

Q-function.

Definition at line 217 of file error.cpp.

References erfc().

Referenced by Qfunc(), and Qfunc().

◆ erf() [2/5]

ITPP_EXPORT vec itpp::erf ( const vec & x)

Error function.

Definition at line 224 of file error.cpp.

References apply_function(), and erf().

◆ erf() [3/5]

ITPP_EXPORT mat itpp::erf ( const mat & x)

Error function.

Definition at line 225 of file error.cpp.

References apply_function(), and erf().

◆ erf() [4/5]

ITPP_EXPORT cvec itpp::erf ( const cvec & x)

Error function.

Definition at line 226 of file error.cpp.

References apply_function(), and erf().

◆ erf() [5/5]

ITPP_EXPORT cmat itpp::erf ( const cmat & x)

Error function.

Definition at line 230 of file error.cpp.

References apply_function(), and erf().

◆ erfinv() [2/3]

ITPP_EXPORT vec itpp::erfinv ( const vec & x)

Inverse of error function.

Definition at line 236 of file error.cpp.

References apply_function(), and erfinv().

◆ erfinv() [3/3]

ITPP_EXPORT mat itpp::erfinv ( const mat & x)

Inverse of error function.

Definition at line 237 of file error.cpp.

References apply_function(), and erfinv().

◆ erfc() [1/2]

ITPP_EXPORT vec itpp::erfc ( const vec & x)

Complementary error function.

Definition at line 240 of file error.cpp.

References apply_function(), and erfc().

Referenced by erfc(), erfc(), and Qfunc().

◆ erfc() [2/2]

ITPP_EXPORT mat itpp::erfc ( const mat & x)

Complementary error function.

Definition at line 241 of file error.cpp.

References apply_function(), and erfc().

◆ Qfunc() [2/3]

ITPP_EXPORT vec itpp::Qfunc ( const vec & x)

Q-function.

Definition at line 244 of file error.cpp.

References apply_function(), and Qfunc().

◆ Qfunc() [3/3]

ITPP_EXPORT mat itpp::Qfunc ( const mat & x)

Q-function.

Definition at line 245 of file error.cpp.

References apply_function(), and Qfunc().