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- /* integration/qk21.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[11] = /* abscissae of the 21-point kronrod rule */
- {
- 0.995657163025808080735527280689003,
- 0.973906528517171720077964012084452,
- 0.930157491355708226001207180059508,
- 0.865063366688984510732096688423493,
- 0.780817726586416897063717578345042,
- 0.679409568299024406234327365114874,
- 0.562757134668604683339000099272694,
- 0.433395394129247190799265943165784,
- 0.294392862701460198131126603103866,
- 0.148874338981631210884826001129720,
- 0.000000000000000000000000000000000
- };
- /* xgk[1], xgk[3], ... abscissae of the 10-point gauss rule.
- xgk[0], xgk[2], ... abscissae to optimally extend the 10-point gauss rule */
- static const double wg[5] = /* weights of the 10-point gauss rule */
- {
- 0.066671344308688137593568809893332,
- 0.149451349150580593145776339657697,
- 0.219086362515982043995534934228163,
- 0.269266719309996355091226921569469,
- 0.295524224714752870173892994651338
- };
- static const double wgk[11] = /* weights of the 21-point kronrod rule */
- {
- 0.011694638867371874278064396062192,
- 0.032558162307964727478818972459390,
- 0.054755896574351996031381300244580,
- 0.075039674810919952767043140916190,
- 0.093125454583697605535065465083366,
- 0.109387158802297641899210590325805,
- 0.123491976262065851077958109831074,
- 0.134709217311473325928054001771707,
- 0.142775938577060080797094273138717,
- 0.147739104901338491374841515972068,
- 0.149445554002916905664936468389821
- };
- void
- gsl_integration_qk21 (const gsl_function * f, double a, double b,
- double *result, double *abserr,
- double *resabs, double *resasc)
- {
- double fv1[11], fv2[11];
- gsl_integration_qk (11, xgk, wg, wgk, fv1, fv2, f, a, b, result, abserr, resabs, resasc);
- }
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