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//                                               -*- C++ -*-
/**
 *  @brief Efficient implementation of the exponential integral function
 *         for complex arguments
 *
 *  Copyright 2005-2015 Airbus-EDF-IMACS-Phimeca
 *
 *  This library is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Lesser General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *  (at your option) any later version.
 *
 *  This library 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 Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public
 *  along with this library.  If not, see <http://www.gnu.org/licenses/>.
 *
 */
#ifndef OPENTURNS_EXPONENTIALINTEGRALFUNCTIONS_HXX
#define OPENTURNS_EXPONENTIALINTEGRALFUNCTIONS_HXX

#include "OTprivate.hxx"

BEGIN_NAMESPACE_OPENTURNS

namespace ExponentialIntegralFunctions
{

  NumericalComplex Ei(const NumericalComplex & z);
  NumericalScalar Ei(const NumericalScalar z);

  NumericalComplex EiPowerSeries(const NumericalComplex & z);
  NumericalScalar EiPowerSeries(const NumericalScalar z);

  NumericalComplex EiAsymptoticSeries(const NumericalComplex & z);
  NumericalScalar EiAsymptoticSeries(const NumericalScalar z);

  NumericalComplex EiContinuedFractionBackward(const NumericalComplex & z);
  NumericalScalar EiContinuedFractionBackward(const NumericalScalar z);

  NumericalComplex EiContinuedFractionForward(const NumericalComplex & z);
  NumericalScalar EiContinuedFractionForward(const NumericalScalar z);

  Bool hasConverged(const NumericalComplex & current,
                    const NumericalComplex & previous);

} // ExponentialIntegralFunctions

END_NAMESPACE_OPENTURNS

#endif /* OPENTURNS_EXPONENTIALINTEGRALFUNCTIONS_HXX */