/usr/include/rheolef/gauss_radau_jacobi.icc is in librheolef-dev 6.7-6.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 | /// This file is part of Rheolef.
///
/// Copyright (C) 2000-2009 Pierre Saramito
///
/// Rheolef 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.
///
/// Rheolef 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 Rheolef; if not, write to the Free Software
/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
/// lexer for qmg mesh files
/// =========================================================================
#include "rheolef/compiler.h"
#include "rheolef/gamma.h"
#include "rheolef/jacobi.h"
#include "rheolef/jacobi_roots.h"
#include <iterator>
namespace rheolef {
template <class Size, class OutputIterator1, class OutputIterator2>
void gauss_radau_jacobi (Size R,
typename std::iterator_traits<OutputIterator1>::value_type alpha,
typename std::iterator_traits<OutputIterator1>::value_type beta,
OutputIterator1 zeta, OutputIterator2 omega)
{
typedef typename std::iterator_traits<OutputIterator1>::value_type T;
check_macro (R >= 1, "gauss_radau_jacobi: node number " << R << " may be >= 1");
T num = pow(T(2), alpha+beta)/(beta+T(1.*R));
T w0 = pow(T(2), alpha+beta+1)*(beta+1);
if (alpha == floor(alpha) && beta == floor(beta)) {
num *= T(1.*R)/((alpha+T(1.*R))*(beta+T(1.*R)));
w0 *= 1/(T(1.*R)*(alpha+T(1.*R)));
for (Size k = 1; k <= size_t(details::convert_to_int(beta)); k++) {
num *= T(1.*R+k)/(alpha+T(1.*R+k));
w0 *= T(sqr(k))/(T(1.*R+k)*(alpha+R+k));
}
} else {
num *= (my_gamma(alpha+R)/my_gamma(alpha+beta+R+1))
*(my_gamma(beta+R)/my_gamma(T(1.*R)));
w0 *= sqr(my_gamma(beta+1))
*(my_gamma(T(1.*R))/my_gamma(beta+R+1))
*(my_gamma(alpha+R)/my_gamma(alpha+beta+R+1));
}
zeta [0] = -1;
omega[0] = w0;
jacobi_roots (R-1, alpha, beta+1, zeta+1);
jacobi<T> P1 (R-1, alpha, beta);
for (Size r = 1; r < R; ++r)
omega[r] = num*(1-zeta[r])/sqr(P1(zeta[r]));
}
} // namespace rheolef
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