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Diffstat (limited to 'gsl-1.9/integration/qk31.c')
-rw-r--r-- | gsl-1.9/integration/qk31.c | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/gsl-1.9/integration/qk31.c b/gsl-1.9/integration/qk31.c new file mode 100644 index 0000000..2cfc0bd --- /dev/null +++ b/gsl-1.9/integration/qk31.c @@ -0,0 +1,89 @@ +/* integration/qk31.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[16] = /* abscissae of the 31-point kronrod rule */ +{ + 0.998002298693397060285172840152271, + 0.987992518020485428489565718586613, + 0.967739075679139134257347978784337, + 0.937273392400705904307758947710209, + 0.897264532344081900882509656454496, + 0.848206583410427216200648320774217, + 0.790418501442465932967649294817947, + 0.724417731360170047416186054613938, + 0.650996741297416970533735895313275, + 0.570972172608538847537226737253911, + 0.485081863640239680693655740232351, + 0.394151347077563369897207370981045, + 0.299180007153168812166780024266389, + 0.201194093997434522300628303394596, + 0.101142066918717499027074231447392, + 0.000000000000000000000000000000000 +}; + +/* xgk[1], xgk[3], ... abscissae of the 15-point gauss rule. + xgk[0], xgk[2], ... abscissae to optimally extend the 15-point gauss rule */ + +static const double wg[8] = /* weights of the 15-point gauss rule */ +{ + 0.030753241996117268354628393577204, + 0.070366047488108124709267416450667, + 0.107159220467171935011869546685869, + 0.139570677926154314447804794511028, + 0.166269205816993933553200860481209, + 0.186161000015562211026800561866423, + 0.198431485327111576456118326443839, + 0.202578241925561272880620199967519 +}; + +static const double wgk[16] = /* weights of the 31-point kronrod rule */ +{ + 0.005377479872923348987792051430128, + 0.015007947329316122538374763075807, + 0.025460847326715320186874001019653, + 0.035346360791375846222037948478360, + 0.044589751324764876608227299373280, + 0.053481524690928087265343147239430, + 0.062009567800670640285139230960803, + 0.069854121318728258709520077099147, + 0.076849680757720378894432777482659, + 0.083080502823133021038289247286104, + 0.088564443056211770647275443693774, + 0.093126598170825321225486872747346, + 0.096642726983623678505179907627589, + 0.099173598721791959332393173484603, + 0.100769845523875595044946662617570, + 0.101330007014791549017374792767493 +}; + +void +gsl_integration_qk31 (const gsl_function * f, double a, double b, + double *result, double *abserr, + double *resabs, double *resasc) +{ + double fv1[16], fv2[16]; + gsl_integration_qk (16, xgk, wg, wgk, fv1, fv2, f, a, b, result, abserr, resabs, resasc); +} |