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+/* integration/qpsrt.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.
+ */
+
+static inline void
+qpsrt (gsl_integration_workspace * workspace);
+
+static inline
+void qpsrt (gsl_integration_workspace * workspace)
+{
+ const size_t last = workspace->size - 1;
+ const size_t limit = workspace->limit;
+
+ double * elist = workspace->elist;
+ size_t * order = workspace->order;
+
+ double errmax ;
+ double errmin ;
+ int i, k, top;
+
+ size_t i_nrmax = workspace->nrmax;
+ size_t i_maxerr = order[i_nrmax] ;
+
+ /* Check whether the list contains more than two error estimates */
+
+ if (last < 2)
+ {
+ order[0] = 0 ;
+ order[1] = 1 ;
+ workspace->i = i_maxerr ;
+ return ;
+ }
+
+ errmax = elist[i_maxerr] ;
+
+ /* This part of the routine is only executed if, due to a difficult
+ integrand, subdivision increased the error estimate. In the normal
+ case the insert procedure should start after the nrmax-th largest
+ error estimate. */
+
+ while (i_nrmax > 0 && errmax > elist[order[i_nrmax - 1]])
+ {
+ order[i_nrmax] = order[i_nrmax - 1] ;
+ i_nrmax-- ;
+ }
+
+ /* Compute the number of elements in the list to be maintained in
+ descending order. This number depends on the number of
+ subdivisions still allowed. */
+
+ if(last < (limit/2 + 2))
+ {
+ top = last ;
+ }
+ else
+ {
+ top = limit - last + 1;
+ }
+
+ /* Insert errmax by traversing the list top-down, starting
+ comparison from the element elist(order(i_nrmax+1)). */
+
+ i = i_nrmax + 1 ;
+
+ /* The order of the tests in the following line is important to
+ prevent a segmentation fault */
+
+ while (i < top && errmax < elist[order[i]])
+ {
+ order[i-1] = order[i] ;
+ i++ ;
+ }
+
+ order[i-1] = i_maxerr ;
+
+ /* Insert errmin by traversing the list bottom-up */
+
+ errmin = elist[last] ;
+
+ k = top - 1 ;
+
+ while (k > i - 2 && errmin >= elist[order[k]])
+ {
+ order[k+1] = order[k] ;
+ k-- ;
+ }
+
+ order[k+1] = last ;
+
+ /* Set i_max and e_max */
+
+ i_maxerr = order[i_nrmax] ;
+
+ workspace->i = i_maxerr ;
+ workspace->nrmax = i_nrmax ;
+}
+
+