1 files changed, 188 insertions, 0 deletions
diff --git a/gsl-1.9/specfunc/bessel_amp_phase.c b/gsl-1.9/specfunc/bessel_amp_phase.c
new file mode 100644
index 0000000..b1099b5
--- /dev/null
+++ b/gsl-1.9/specfunc/bessel_amp_phase.c
@@ -0,0 +1,188 @@
+/* specfunc/bessel_amp_phase.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_bessel.h>
+#include "bessel_amp_phase.h"
+
+/* chebyshev expansions for amplitude and phase
+   functions used in bessel evaluations
+
+   These are the same for J0,Y0 and for J1,Y1, so
+   they sit outside those functions.
+*/
+        
+static double bm0_data[21] = {
+   0.09284961637381644,
+  -0.00142987707403484,
+   0.00002830579271257,
+  -0.00000143300611424,
+   0.00000012028628046,
+  -0.00000001397113013,
+   0.00000000204076188,
+  -0.00000000035399669,
+   0.00000000007024759,
+  -0.00000000001554107,
+   0.00000000000376226,
+  -0.00000000000098282,
+   0.00000000000027408,
+  -0.00000000000008091,
+   0.00000000000002511,
+  -0.00000000000000814,
+   0.00000000000000275,
+  -0.00000000000000096,
+   0.00000000000000034,
+  -0.00000000000000012,
+   0.00000000000000004
+}; 
+const cheb_series _gsl_sf_bessel_amp_phase_bm0_cs = {
+  bm0_data,
+  20,
+  -1, 1,
+  10
+};
+      
+static double bth0_data[24] = {
+  -0.24639163774300119,
+   0.001737098307508963,
+  -0.000062183633402968,
+   0.000004368050165742,
+  -0.000000456093019869,
+   0.000000062197400101,
+  -0.000000010300442889,
+   0.000000001979526776,
+  -0.000000000428198396,
+   0.000000000102035840,
+  -0.000000000026363898,
+   0.000000000007297935,
+  -0.000000000002144188,
+   0.000000000000663693,
+  -0.000000000000215126,
+   0.000000000000072659,
+  -0.000000000000025465,
+   0.000000000000009229,
+  -0.000000000000003448,
+   0.000000000000001325,
+  -0.000000000000000522,
+   0.000000000000000210,
+  -0.000000000000000087,
+   0.000000000000000036
+};
+const cheb_series _gsl_sf_bessel_amp_phase_bth0_cs = {
+  bth0_data,
+  23,
+  -1, 1,
+  12
+};
+
+
+static double bm1_data[21] = {
+   0.1047362510931285, 
+   0.00442443893702345,
+  -0.00005661639504035,
+   0.00000231349417339,
+  -0.00000017377182007,
+   0.00000001893209930,
+  -0.00000000265416023,
+   0.00000000044740209,
+  -0.00000000008691795,
+   0.00000000001891492,
+  -0.00000000000451884,
+   0.00000000000116765,
+  -0.00000000000032265,
+   0.00000000000009450,
+  -0.00000000000002913,
+   0.00000000000000939,
+  -0.00000000000000315,
+   0.00000000000000109,
+  -0.00000000000000039,
+   0.00000000000000014,
+  -0.00000000000000005,
+}; 
+const cheb_series _gsl_sf_bessel_amp_phase_bm1_cs = {
+  bm1_data,
+  20,
+  -1, 1,
+  10
+};
+
+static double bth1_data[24] = {
+   0.74060141026313850, 
+  -0.004571755659637690,
+   0.000119818510964326,
+  -0.000006964561891648,
+   0.000000655495621447,
+  -0.000000084066228945,
+   0.000000013376886564,
+  -0.000000002499565654,
+   0.000000000529495100,
+  -0.000000000124135944,
+   0.000000000031656485,
+  -0.000000000008668640,
+   0.000000000002523758,
+  -0.000000000000775085,
+   0.000000000000249527,
+  -0.000000000000083773,
+   0.000000000000029205,
+  -0.000000000000010534,
+   0.000000000000003919,
+  -0.000000000000001500,
+   0.000000000000000589,
+  -0.000000000000000237,
+   0.000000000000000097,
+  -0.000000000000000040,
+};
+const cheb_series _gsl_sf_bessel_amp_phase_bth1_cs = {
+  bth1_data,
+  23,
+  -1, 1,
+  12
+};
+
+
+int
+gsl_sf_bessel_asymp_Mnu_e(const double nu, const double x, double * result)
+{
+  const double r  = 2.0*nu/x;
+  const double r2 = r*r;
+  const double x2 = x*x;
+  const double term1 = (r2-1.0/x2)/8.0;
+  const double term2 = (r2-1.0/x2)*(r2-9.0/x2)*3.0/128.0;
+  const double Mnu2_c = 2.0/(M_PI) * (1.0 + term1 + term2);
+  *result = sqrt(Mnu2_c)/sqrt(x); /* will never underflow this way */
+  return GSL_SUCCESS;
+}
+
+
+int
+gsl_sf_bessel_asymp_thetanu_corr_e(const double nu, const double x, double * result)
+{
+  const double r  = 2.0*nu/x;
+  const double r2 = r*r;
+  const double x2 = x*x;
+  const double term1 = x*(r2 - 1.0/x2)/8.0;
+  const double term2 = x*(r2 - 1.0/x2)*(r2 - 25.0/x2)/384.0;
+  *result = (-0.25*M_PI + term1 + term2);
+  return GSL_SUCCESS;
+}