| /* integration/qk61.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[31] = /* abscissae of the 61-point kronrod rule */ |
| { |
| 0.999484410050490637571325895705811, |
| 0.996893484074649540271630050918695, |
| 0.991630996870404594858628366109486, |
| 0.983668123279747209970032581605663, |
| 0.973116322501126268374693868423707, |
| 0.960021864968307512216871025581798, |
| 0.944374444748559979415831324037439, |
| 0.926200047429274325879324277080474, |
| 0.905573307699907798546522558925958, |
| 0.882560535792052681543116462530226, |
| 0.857205233546061098958658510658944, |
| 0.829565762382768397442898119732502, |
| 0.799727835821839083013668942322683, |
| 0.767777432104826194917977340974503, |
| 0.733790062453226804726171131369528, |
| 0.697850494793315796932292388026640, |
| 0.660061064126626961370053668149271, |
| 0.620526182989242861140477556431189, |
| 0.579345235826361691756024932172540, |
| 0.536624148142019899264169793311073, |
| 0.492480467861778574993693061207709, |
| 0.447033769538089176780609900322854, |
| 0.400401254830394392535476211542661, |
| 0.352704725530878113471037207089374, |
| 0.304073202273625077372677107199257, |
| 0.254636926167889846439805129817805, |
| 0.204525116682309891438957671002025, |
| 0.153869913608583546963794672743256, |
| 0.102806937966737030147096751318001, |
| 0.051471842555317695833025213166723, |
| 0.000000000000000000000000000000000 |
| }; |
| |
| /* xgk[1], xgk[3], ... abscissae of the 30-point gauss rule. |
| xgk[0], xgk[2], ... abscissae to optimally extend the 30-point gauss rule */ |
| |
| static const double wg[15] = /* weights of the 30-point gauss rule */ |
| { |
| 0.007968192496166605615465883474674, |
| 0.018466468311090959142302131912047, |
| 0.028784707883323369349719179611292, |
| 0.038799192569627049596801936446348, |
| 0.048402672830594052902938140422808, |
| 0.057493156217619066481721689402056, |
| 0.065974229882180495128128515115962, |
| 0.073755974737705206268243850022191, |
| 0.080755895229420215354694938460530, |
| 0.086899787201082979802387530715126, |
| 0.092122522237786128717632707087619, |
| 0.096368737174644259639468626351810, |
| 0.099593420586795267062780282103569, |
| 0.101762389748405504596428952168554, |
| 0.102852652893558840341285636705415 |
| }; |
| |
| static const double wgk[31] = /* weights of the 61-point kronrod rule */ |
| { |
| 0.001389013698677007624551591226760, |
| 0.003890461127099884051267201844516, |
| 0.006630703915931292173319826369750, |
| 0.009273279659517763428441146892024, |
| 0.011823015253496341742232898853251, |
| 0.014369729507045804812451432443580, |
| 0.016920889189053272627572289420322, |
| 0.019414141193942381173408951050128, |
| 0.021828035821609192297167485738339, |
| 0.024191162078080601365686370725232, |
| 0.026509954882333101610601709335075, |
| 0.028754048765041292843978785354334, |
| 0.030907257562387762472884252943092, |
| 0.032981447057483726031814191016854, |
| 0.034979338028060024137499670731468, |
| 0.036882364651821229223911065617136, |
| 0.038678945624727592950348651532281, |
| 0.040374538951535959111995279752468, |
| 0.041969810215164246147147541285970, |
| 0.043452539701356069316831728117073, |
| 0.044814800133162663192355551616723, |
| 0.046059238271006988116271735559374, |
| 0.047185546569299153945261478181099, |
| 0.048185861757087129140779492298305, |
| 0.049055434555029778887528165367238, |
| 0.049795683427074206357811569379942, |
| 0.050405921402782346840893085653585, |
| 0.050881795898749606492297473049805, |
| 0.051221547849258772170656282604944, |
| 0.051426128537459025933862879215781, |
| 0.051494729429451567558340433647099 |
| }; |
| |
| void |
| gsl_integration_qk61 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc) |
| { |
| double fv1[31], fv2[31]; |
| gsl_integration_qk (31, xgk, wg, wgk, fv1, fv2, f, a, b, result, abserr, resabs, resasc); |
| } |