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/*!
* \file
* \brief Error functions - header file
* \author Tony Ottosson and Adam Piatyszek
*
* -------------------------------------------------------------------------
*
* IT++ - C++ library of mathematical, signal processing, speech processing,
* and communications classes and functions
*
* Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*
* -------------------------------------------------------------------------
*/
#ifndef ERROR_H
#define ERROR_H
#ifndef _MSC_VER
# include <itpp/config.h>
#else
# include <itpp/config_msvc.h>
#endif
#include <itpp/base/help_functions.h>
//!\addtogroup errorfunc
//!@{
#ifndef HAVE_ERF
//! \brief Error function
double erf(double x);
#endif
#ifndef HAVE_ERFC
//! Complementary error function
double erfc(double x);
#endif
//!@}
namespace itpp {
//!\addtogroup errorfunc
//!@{
/*!
* \brief Error function for complex argument
* \author Adam Piatyszek
*
* This function calculates a well known error function \c erf(z)
* for complex \c 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 \c erf(z) for complex \c 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.
*/
std::complex<double> erf(const std::complex<double>& z);
//! Inverse of error function
double erfinv(double x);
//! Q-function
double Qfunc(double x);
// ----------------------------------------------------------------------
// functions for matrices and vectors
// ----------------------------------------------------------------------
//! Error function
inline vec erf(const vec &x)
{
return apply_function<double>(::erf, x);
}
//! Error function
inline mat erf(const mat &x)
{
return apply_function<double>(::erf, x);
}
//! Error function
inline cvec erf(const cvec &x)
{
return apply_function<std::complex<double> >(erf, x);
}
//! Error function
inline cmat erf(const cmat &x)
{
return apply_function<std::complex<double> >(erf, x);
}
//! Inverse of error function
inline vec erfinv(const vec &x)
{
return apply_function<double>(erfinv, x);
}
//! Inverse of error function
inline mat erfinv(const mat &x)
{
return apply_function<double>(erfinv, x);
}
//! Complementary error function
inline vec erfc(const vec &x)
{
return apply_function<double>(::erfc, x);
}
//! Complementary error function
inline mat erfc(const mat &x)
{
return apply_function<double>(::erfc, x);
}
//! Q-function
inline vec Qfunc(const vec &x)
{
return apply_function<double>(Qfunc, x);
}
//! Q-function
inline mat Qfunc(const mat &x)
{
return apply_function<double>(Qfunc, x);
}
//!@}
} // namespace itpp
#endif // #ifndef ERROR_H
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