1 files changed, 117 insertions, 0 deletions
diff --git a/gsl-1.9/integration/qk51.c b/gsl-1.9/integration/qk51.c
new file mode 100644
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+++ b/gsl-1.9/integration/qk51.c
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+/* integration/qk51.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[26] =   /* abscissae of the 51-point kronrod rule */
+{
+  0.999262104992609834193457486540341,
+  0.995556969790498097908784946893902,
+  0.988035794534077247637331014577406,
+  0.976663921459517511498315386479594,
+  0.961614986425842512418130033660167,
+  0.942974571228974339414011169658471,
+  0.920747115281701561746346084546331,
+  0.894991997878275368851042006782805,
+  0.865847065293275595448996969588340,
+  0.833442628760834001421021108693570,
+  0.797873797998500059410410904994307,
+  0.759259263037357630577282865204361,
+  0.717766406813084388186654079773298,
+  0.673566368473468364485120633247622,
+  0.626810099010317412788122681624518,
+  0.577662930241222967723689841612654,
+  0.526325284334719182599623778158010,
+  0.473002731445714960522182115009192,
+  0.417885382193037748851814394594572,
+  0.361172305809387837735821730127641,
+  0.303089538931107830167478909980339,
+  0.243866883720988432045190362797452,
+  0.183718939421048892015969888759528,
+  0.122864692610710396387359818808037,
+  0.061544483005685078886546392366797,
+  0.000000000000000000000000000000000
+};
+
+/* xgk[1], xgk[3], ... abscissae of the 25-point gauss rule. 
+   xgk[0], xgk[2], ... abscissae to optimally extend the 25-point gauss rule */
+
+static const double wg[13] =    /* weights of the 25-point gauss rule */
+{
+  0.011393798501026287947902964113235,
+  0.026354986615032137261901815295299,
+  0.040939156701306312655623487711646,
+  0.054904695975835191925936891540473,
+  0.068038333812356917207187185656708,
+  0.080140700335001018013234959669111,
+  0.091028261982963649811497220702892,
+  0.100535949067050644202206890392686,
+  0.108519624474263653116093957050117,
+  0.114858259145711648339325545869556,
+  0.119455763535784772228178126512901,
+  0.122242442990310041688959518945852,
+  0.123176053726715451203902873079050
+};
+
+static const double wgk[26] =   /* weights of the 51-point kronrod rule */
+{
+  0.001987383892330315926507851882843,
+  0.005561932135356713758040236901066,
+  0.009473973386174151607207710523655,
+  0.013236229195571674813656405846976,
+  0.016847817709128298231516667536336,
+  0.020435371145882835456568292235939,
+  0.024009945606953216220092489164881,
+  0.027475317587851737802948455517811,
+  0.030792300167387488891109020215229,
+  0.034002130274329337836748795229551,
+  0.037116271483415543560330625367620,
+  0.040083825504032382074839284467076,
+  0.042872845020170049476895792439495,
+  0.045502913049921788909870584752660,
+  0.047982537138836713906392255756915,
+  0.050277679080715671963325259433440,
+  0.052362885806407475864366712137873,
+  0.054251129888545490144543370459876,
+  0.055950811220412317308240686382747,
+  0.057437116361567832853582693939506,
+  0.058689680022394207961974175856788,
+  0.059720340324174059979099291932562,
+  0.060539455376045862945360267517565,
+  0.061128509717053048305859030416293,
+  0.061471189871425316661544131965264,
+  0.061580818067832935078759824240066
+};
+
+/* wgk[25] was calculated from the values of wgk[0..24] */
+
+void
+gsl_integration_qk51 (const gsl_function * f, double a, double b,
+                      double *result, double *abserr,
+                      double *resabs, double *resasc)
+{
+  double fv1[26], fv2[26];
+  gsl_integration_qk (26, xgk, wg, wgk, fv1, fv2, f, a, b, result, abserr, resabs, resasc);
+}
+