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/* integration/qmomo.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007, 2009 Brian Gough
*
* 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 3 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 Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#include <config.h>
#include <stdlib.h>
#include <gsl/gsl_integration.h>
#include <gsl/gsl_errno.h>
static void
initialise (double * ri, double * rj, double * rg, double * rh,
double alpha, double beta);
gsl_integration_qaws_table *
gsl_integration_qaws_table_alloc (double alpha, double beta, int mu, int nu)
{
gsl_integration_qaws_table * t;
if (alpha < -1.0)
{
GSL_ERROR_VAL ("alpha must be greater than -1.0", GSL_EINVAL, 0);
}
if (beta < -1.0)
{
GSL_ERROR_VAL ("beta must be greater than -1.0", GSL_EINVAL, 0);
}
if (mu != 0 && mu != 1)
{
GSL_ERROR_VAL ("mu must be 0 or 1", GSL_EINVAL, 0);
}
if (nu != 0 && nu != 1)
{
GSL_ERROR_VAL ("nu must be 0 or 1", GSL_EINVAL, 0);
}
t = (gsl_integration_qaws_table *)
malloc(sizeof(gsl_integration_qaws_table));
if (t == 0)
{
GSL_ERROR_VAL ("failed to allocate space for qaws_table struct",
GSL_ENOMEM, 0);
}
t->alpha = alpha;
t->beta = beta;
t->mu = mu;
t->nu = nu;
initialise (t->ri, t->rj, t->rg, t->rh, alpha, beta);
return t;
}
int
gsl_integration_qaws_table_set (gsl_integration_qaws_table * t,
double alpha, double beta, int mu, int nu)
{
if (alpha < -1.0)
{
GSL_ERROR ("alpha must be greater than -1.0", GSL_EINVAL);
}
if (beta < -1.0)
{
GSL_ERROR ("beta must be greater than -1.0", GSL_EINVAL);
}
if (mu != 0 && mu != 1)
{
GSL_ERROR ("mu must be 0 or 1", GSL_EINVAL);
}
if (nu != 0 && nu != 1)
{
GSL_ERROR ("nu must be 0 or 1", GSL_EINVAL);
}
t->alpha = alpha;
t->beta = beta;
t->mu = mu;
t->nu = nu;
initialise (t->ri, t->rj, t->rg, t->rh, alpha, beta);
return GSL_SUCCESS;
}
void
gsl_integration_qaws_table_free (gsl_integration_qaws_table * t)
{
RETURN_IF_NULL (t);
free (t);
}
static void
initialise (double * ri, double * rj, double * rg, double * rh,
double alpha, double beta)
{
const double alpha_p1 = alpha + 1.0;
const double beta_p1 = beta + 1.0;
const double alpha_p2 = alpha + 2.0;
const double beta_p2 = beta + 2.0;
const double r_alpha = pow (2.0, alpha_p1);
const double r_beta = pow (2.0, beta_p1);
size_t i;
double an, anm1;
ri[0] = r_alpha / alpha_p1;
ri[1] = ri[0] * alpha / alpha_p2;
an = 2.0;
anm1 = 1.0;
for (i = 2; i < 25; i++)
{
ri[i] = -(r_alpha + an * (an - alpha_p2) * ri[i - 1])
/ (anm1 * (an + alpha_p1));
anm1 = an;
an = an + 1.0;
}
rj[0] = r_beta / beta_p1;
rj[1] = rj[0] * beta / beta_p2;
an = 2.0;
anm1 = 1.0;
for (i = 2; i < 25; i++)
{
rj[i] = -(r_beta + an * (an - beta_p2) * rj[i - 1])
/ (anm1 * (an + beta_p1));
anm1 = an;
an = an + 1.0;
}
rg[0] = -ri[0] / alpha_p1;
rg[1] = -rg[0] - 2.0 * r_alpha / (alpha_p2 * alpha_p2);
an = 2.0;
anm1 = 1.0;
for (i = 2; i < 25; i++)
{
rg[i] = -(an * (an - alpha_p2) * rg[i - 1] - an * ri[i - 1]
+ anm1 * ri[i]) / (anm1 * (an + alpha_p1));
anm1 = an;
an = an + 1.0;
}
rh[0] = -rj[0] / beta_p1;
rh[1] = -rh[0] - 2.0 * r_beta / (beta_p2 * beta_p2);
an = 2.0;
anm1 = 1.0;
for (i = 2; i < 25; i++)
{
rh[i] = -(an * (an - beta_p2) * rh[i - 1] - an * rj[i - 1]
+ anm1 * rj[i]) / (anm1 * (an + beta_p1));
anm1 = an;
an = an + 1.0;
}
for (i = 1; i < 25; i += 2)
{
rj[i] *= -1;
rh[i] *= -1;
}
}
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