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/* integration/qmomo.c
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*
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* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007, 2009 Brian Gough
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 3 of the License, or (at
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* your option) any later version.
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*
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* This program is distributed in the hope that it will be useful, but
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* WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*/
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#include <config.h>
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#include <stdlib.h>
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#include <gsl/gsl_integration.h>
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#include <gsl/gsl_errno.h>
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static void
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initialise (double * ri, double * rj, double * rg, double * rh,
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double alpha, double beta);
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gsl_integration_qaws_table *
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gsl_integration_qaws_table_alloc (double alpha, double beta, int mu, int nu)
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{
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gsl_integration_qaws_table * t;
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if (alpha < -1.0)
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{
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GSL_ERROR_VAL ("alpha must be greater than -1.0", GSL_EINVAL, 0);
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}
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if (beta < -1.0)
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{
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GSL_ERROR_VAL ("beta must be greater than -1.0", GSL_EINVAL, 0);
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}
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if (mu != 0 && mu != 1)
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{
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GSL_ERROR_VAL ("mu must be 0 or 1", GSL_EINVAL, 0);
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}
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if (nu != 0 && nu != 1)
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{
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GSL_ERROR_VAL ("nu must be 0 or 1", GSL_EINVAL, 0);
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}
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t = (gsl_integration_qaws_table *)
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malloc(sizeof(gsl_integration_qaws_table));
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if (t == 0)
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{
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GSL_ERROR_VAL ("failed to allocate space for qaws_table struct",
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GSL_ENOMEM, 0);
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}
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t->alpha = alpha;
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t->beta = beta;
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t->mu = mu;
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t->nu = nu;
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initialise (t->ri, t->rj, t->rg, t->rh, alpha, beta);
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return t;
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}
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int
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gsl_integration_qaws_table_set (gsl_integration_qaws_table * t,
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double alpha, double beta, int mu, int nu)
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{
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if (alpha < -1.0)
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{
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GSL_ERROR ("alpha must be greater than -1.0", GSL_EINVAL);
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}
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if (beta < -1.0)
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{
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GSL_ERROR ("beta must be greater than -1.0", GSL_EINVAL);
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}
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if (mu != 0 && mu != 1)
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{
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GSL_ERROR ("mu must be 0 or 1", GSL_EINVAL);
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}
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if (nu != 0 && nu != 1)
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{
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GSL_ERROR ("nu must be 0 or 1", GSL_EINVAL);
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}
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t->alpha = alpha;
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t->beta = beta;
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t->mu = mu;
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t->nu = nu;
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initialise (t->ri, t->rj, t->rg, t->rh, alpha, beta);
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return GSL_SUCCESS;
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}
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void
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gsl_integration_qaws_table_free (gsl_integration_qaws_table * t)
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{
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RETURN_IF_NULL (t);
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free (t);
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}
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static void
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initialise (double * ri, double * rj, double * rg, double * rh,
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double alpha, double beta)
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{
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const double alpha_p1 = alpha + 1.0;
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const double beta_p1 = beta + 1.0;
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const double alpha_p2 = alpha + 2.0;
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const double beta_p2 = beta + 2.0;
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const double r_alpha = pow (2.0, alpha_p1);
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const double r_beta = pow (2.0, beta_p1);
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size_t i;
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double an, anm1;
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ri[0] = r_alpha / alpha_p1;
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ri[1] = ri[0] * alpha / alpha_p2;
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an = 2.0;
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anm1 = 1.0;
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for (i = 2; i < 25; i++)
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{
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ri[i] = -(r_alpha + an * (an - alpha_p2) * ri[i - 1])
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/ (anm1 * (an + alpha_p1));
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anm1 = an;
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an = an + 1.0;
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}
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rj[0] = r_beta / beta_p1;
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rj[1] = rj[0] * beta / beta_p2;
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an = 2.0;
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anm1 = 1.0;
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for (i = 2; i < 25; i++)
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{
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rj[i] = -(r_beta + an * (an - beta_p2) * rj[i - 1])
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/ (anm1 * (an + beta_p1));
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anm1 = an;
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an = an + 1.0;
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}
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rg[0] = -ri[0] / alpha_p1;
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rg[1] = -rg[0] - 2.0 * r_alpha / (alpha_p2 * alpha_p2);
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an = 2.0;
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anm1 = 1.0;
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for (i = 2; i < 25; i++)
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{
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rg[i] = -(an * (an - alpha_p2) * rg[i - 1] - an * ri[i - 1]
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+ anm1 * ri[i]) / (anm1 * (an + alpha_p1));
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anm1 = an;
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an = an + 1.0;
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}
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rh[0] = -rj[0] / beta_p1;
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rh[1] = -rh[0] - 2.0 * r_beta / (beta_p2 * beta_p2);
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an = 2.0;
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anm1 = 1.0;
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for (i = 2; i < 25; i++)
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{
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rh[i] = -(an * (an - beta_p2) * rh[i - 1] - an * rj[i - 1]
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+ anm1 * rj[i]) / (anm1 * (an + beta_p1));
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anm1 = an;
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an = an + 1.0;
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}
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for (i = 1; i < 25; i += 2)
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{
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rj[i] *= -1;
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rh[i] *= -1;
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}
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}
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