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Diffstat (limited to 'gsl-1.9/integration/qk15.c')
-rw-r--r-- | gsl-1.9/integration/qk15.c | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/gsl-1.9/integration/qk15.c b/gsl-1.9/integration/qk15.c new file mode 100644 index 0000000..574e874 --- /dev/null +++ b/gsl-1.9/integration/qk15.c @@ -0,0 +1,70 @@ +/* integration/qk15.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 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 2 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 <gsl/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); +} + |