63 lines
2.6 KiB
C++
63 lines
2.6 KiB
C++
/* Copyright (c) 2012 Massachusetts Institute of Technology
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, sublicense, and/or sell copies of the Software, and to
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* permit persons to whom the Software is furnished to do so, subject to
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* the following conditions:
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*
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* The above copyright notice and this permission notice shall be
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* included in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
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* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*/
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/* Available at: http://ab-initio.mit.edu/Faddeeva
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Header file for Faddeeva.cc; see that file for more information. */
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#ifndef FADDEEVA_HH
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#define FADDEEVA_HH 1
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#include <complex>
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namespace Faddeeva {
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// compute w(z) = exp(-z^2) erfc(-iz) [ Faddeeva / scaled complex error func ]
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extern std::complex<double> w(std::complex<double> z,double relerr=0);
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extern double w_im(double x); // special-case code for Im[w(x)] of real x
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// Various functions that we can compute with the help of w(z)
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// compute erfcx(z) = exp(z^2) erfc(z)
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extern std::complex<double> erfcx(std::complex<double> z, double relerr=0);
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extern double erfcx(double x); // special case for real x
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// compute erf(z), the error function of complex arguments
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extern std::complex<double> erf(std::complex<double> z, double relerr=0);
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extern double erf(double x); // special case for real x
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// compute erfi(z) = -i erf(iz), the imaginary error function
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extern std::complex<double> erfi(std::complex<double> z, double relerr=0);
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extern double erfi(double x); // special case for real x
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// compute erfc(z) = 1 - erf(z), the complementary error function
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extern std::complex<double> erfc(std::complex<double> z, double relerr=0);
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extern double erfc(double x); // special case for real x
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// compute Dawson(z) = sqrt(pi)/2 * exp(-z^2) * erfi(z)
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extern std::complex<double> Dawson(std::complex<double> z, double relerr=0);
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extern double Dawson(double x); // special case for real x
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} // namespace Faddeeva
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#endif // FADDEEVA_HH
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