Functions | |
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. | |
double | itpp::Qfunc (double x) |
Q-function. | |
double | itpp::erfinv (double x) |
Inverse of error function. | |
std::complex< double > | itpp::erf (const std::complex< double > &z) |
Error function for complex argument. |
Error function.
Definition at line 132 of file elmatfunc.h.
References itpp::vec_function().
Referenced by itpp::erf().
Error function.
Definition at line 134 of file elmatfunc.h.
References itpp::erf(), and itpp::mat_function().
Error function.
Definition at line 136 of file elmatfunc.h.
References itpp::cvec_function(), and itpp::erf().
Error function.
Definition at line 138 of file elmatfunc.h.
References itpp::cmat_function(), and itpp::erf().
Inverse of error function.
Definition at line 140 of file elmatfunc.h.
References itpp::vec_function().
Referenced by itpp::erfinv().
Inverse of error function.
Definition at line 142 of file elmatfunc.h.
References itpp::erfinv(), and itpp::mat_function().
Complementary error function.
Definition at line 144 of file elmatfunc.h.
References itpp::vec_function().
Referenced by itpp::erfc(), and itpp::Qfunc().
Complementary error function.
Definition at line 146 of file elmatfunc.h.
References itpp::erfc(), and itpp::mat_function().
Q-function.
Definition at line 148 of file elmatfunc.h.
References itpp::vec_function().
Referenced by itpp::Qfunc().
Q-function.
Definition at line 150 of file elmatfunc.h.
References itpp::mat_function(), and itpp::Qfunc().
double itpp::Qfunc | ( | double | x | ) |
double itpp::erfinv | ( | double | P | ) |
Inverse of error function.
Definition at line 191 of file scalfunc.cpp.
References it_error_if, itpp::log(), itpp::sgn(), and itpp::sqrt().
std::complex< double > itpp::erf | ( | const std::complex< double > & | z | ) |
Error function for complex argument.
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 352 of file scalfunc.cpp.
References itpp::abs(), itpp::cerf_continued_fraction(), itpp::cerf_rybicki(), and itpp::cerf_series().
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