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- /* integration/qk15.c
- *
- * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 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 "gsl__config.h"
- #include "gsl_integration.h"
- /* Gauss quadrature weights and kronrod quadrature abscissae and
- weights as evaluated with 80 decimal digit arithmetic by
- L. W. Fullerton, Bell Labs, Nov. 1981. */
- static const double xgk[8] = /* abscissae of the 15-point kronrod rule */
- {
- 0.991455371120812639206854697526329,
- 0.949107912342758524526189684047851,
- 0.864864423359769072789712788640926,
- 0.741531185599394439863864773280788,
- 0.586087235467691130294144838258730,
- 0.405845151377397166906606412076961,
- 0.207784955007898467600689403773245,
- 0.000000000000000000000000000000000
- };
- /* xgk[1], xgk[3], ... abscissae of the 7-point gauss rule.
- xgk[0], xgk[2], ... abscissae to optimally extend the 7-point gauss rule */
- static const double wg[4] = /* weights of the 7-point gauss rule */
- {
- 0.129484966168869693270611432679082,
- 0.279705391489276667901467771423780,
- 0.381830050505118944950369775488975,
- 0.417959183673469387755102040816327
- };
- static const double wgk[8] = /* weights of the 15-point kronrod rule */
- {
- 0.022935322010529224963732008058970,
- 0.063092092629978553290700663189204,
- 0.104790010322250183839876322541518,
- 0.140653259715525918745189590510238,
- 0.169004726639267902826583426598550,
- 0.190350578064785409913256402421014,
- 0.204432940075298892414161999234649,
- 0.209482141084727828012999174891714
- };
- void
- gsl_integration_qk15 (const gsl_function * f, double a, double b,
- double *result, double *abserr,
- double *resabs, double *resasc)
- {
- double fv1[8], fv2[8];
- gsl_integration_qk (8, xgk, wg, wgk, fv1, fv2, f, a, b, result, abserr, resabs, resasc);
- }
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