1 files changed, 120 insertions, 0 deletions
diff --git a/gsl-1.9/specfunc/coulomb_bound.c b/gsl-1.9/specfunc/coulomb_bound.c
new file mode 100644
index 0000000..473c246
--- /dev/null
+++ b/gsl-1.9/specfunc/coulomb_bound.c
@@ -0,0 +1,120 @@
+/* specfunc/coulomb_bound.c
+ * 
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
+ * 
+ * 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.
+ */
+
+/* Author:  G. Jungman */
+
+#include <config.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_sf_exp.h>
+#include <gsl/gsl_sf_gamma.h>
+#include <gsl/gsl_sf_pow_int.h>
+#include <gsl/gsl_sf_laguerre.h>
+#include <gsl/gsl_sf_coulomb.h>
+
+#include "error.h"
+#include "check.h"
+
+/* normalization for hydrogenic wave functions */
+static
+int
+R_norm(const int n, const int l, const double Z, gsl_sf_result * result)
+{
+  double A   = 2.0*Z/n;
+  double pre = sqrt(A*A*A /(2.0*n));
+  gsl_sf_result ln_a, ln_b;
+  gsl_sf_result ex;
+  int stat_a = gsl_sf_lnfact_e(n+l, &ln_a);
+  int stat_b = gsl_sf_lnfact_e(n-l-1, &ln_b);
+  double diff_val = 0.5*(ln_b.val - ln_a.val);
+  double diff_err = 0.5*(ln_b.err + ln_a.err) + GSL_DBL_EPSILON * fabs(diff_val);
+  int stat_e = gsl_sf_exp_err_e(diff_val, diff_err, &ex);
+  result->val  = pre * ex.val;
+  result->err  = pre * ex.err;
+  result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+  return GSL_ERROR_SELECT_3(stat_e, stat_a, stat_b);
+}
+
+
+/*-*-*-*-*-*-*-*-*-*-*-* Functions with Error Codes *-*-*-*-*-*-*-*-*-*-*-*/
+
+int
+gsl_sf_hydrogenicR_1_e(const double Z, const double r, gsl_sf_result * result)
+{
+  if(Z > 0.0 && r >= 0.0) {
+    double A = 2.0*Z;
+    double norm = A*sqrt(Z);
+    double ea = exp(-Z*r);
+    result->val = norm*ea;
+    result->err = 2.0 * GSL_DBL_EPSILON * fabs(result->val) * fabs(Z*r);
+    CHECK_UNDERFLOW(result);
+    return GSL_SUCCESS;
+  }
+  else {
+    DOMAIN_ERROR(result);
+  }
+}
+
+
+int
+gsl_sf_hydrogenicR_e(const int n, const int l,
+                        const double Z, const double r,
+                        gsl_sf_result * result)
+{
+  if(n < 1 || l > n-1 || Z <= 0.0 || r < 0.0) {
+    DOMAIN_ERROR(result);
+  }
+  else {
+    double A = 2.0*Z/n;
+    gsl_sf_result norm;
+    int stat_norm = R_norm(n, l, Z, &norm);
+    double rho = A*r;
+    double ea = exp(-0.5*rho);
+    double pp = gsl_sf_pow_int(rho, l);
+    gsl_sf_result lag;
+    int stat_lag = gsl_sf_laguerre_n_e(n-l-1, 2*l+1, rho, &lag);
+    double W_val = norm.val * ea * pp;
+    double W_err = norm.err * ea * pp;
+    W_err += norm.val * ((0.5*rho + 1.0) * GSL_DBL_EPSILON) * ea * pp;
+    W_err += norm.val * ea * ((l+1.0) * GSL_DBL_EPSILON) * pp;
+    result->val  = W_val * lag.val;
+    result->err  = W_val * lag.err + W_err * fabs(lag.val);
+    result->err += 2.0 * GSL_DBL_EPSILON * fabs(result->val);
+    if ((l == 0 || (r > 0 && l > 0)) && lag.val != 0.0 
+        && stat_lag == GSL_SUCCESS && stat_norm == GSL_SUCCESS) {
+      CHECK_UNDERFLOW(result);
+    };
+    return GSL_ERROR_SELECT_2(stat_lag, stat_norm);
+  }
+}
+
+/*-*-*-*-*-*-*-*-*-* Functions w/ Natural Prototypes *-*-*-*-*-*-*-*-*-*-*/
+
+#include "eval.h"
+
+double gsl_sf_hydrogenicR_1(const double Z, const double r)
+{
+  EVAL_RESULT(gsl_sf_hydrogenicR_1_e(Z, r, &result));
+}
+
+
+double gsl_sf_hydrogenicR(const int n, const int l, const double Z, const double r)
+{
+  EVAL_RESULT(gsl_sf_hydrogenicR_e(n, l, Z, r, &result));
+}