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/*!
* \file
* \brief Error functions - header file
* \author Tony Ottosson and Adam Piatyszek
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ 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 3 of the License, or (at your option) any
* later version.
*
* IT++ 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 IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#ifndef ERROR_H
#define ERROR_H
#include <itpp/base/help_functions.h>
#include <itpp/itexports.h>
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.
*/
ITPP_EXPORT std::complex<double> erf(const std::complex<double>& z);
//! Inverse of error function
ITPP_EXPORT double erfinv(double x);
//! Q-function
ITPP_EXPORT double Qfunc(double x);
// ----------------------------------------------------------------------
// functions for matrices and vectors
// ----------------------------------------------------------------------
//! Error function
ITPP_EXPORT vec erf(const vec &x);
//! Error function
ITPP_EXPORT mat erf(const mat &x);
//! Error function
ITPP_EXPORT cvec erf(const cvec &x);
//! Error function
ITPP_EXPORT cmat erf(const cmat &x);
//! Inverse of error function
ITPP_EXPORT vec erfinv(const vec &x);
//! Inverse of error function
ITPP_EXPORT mat erfinv(const mat &x);
//! Complementary error function
ITPP_EXPORT vec erfc(const vec &x);
//! Complementary error function
ITPP_EXPORT mat erfc(const mat &x);
//! Q-function
ITPP_EXPORT vec Qfunc(const vec &x);
//! Q-function
ITPP_EXPORT mat Qfunc(const mat &x);
//!@}
} // namespace itpp
#endif // #ifndef ERROR_H
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