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diff --git a/gsl-1.9/specfunc/debye.c b/gsl-1.9/specfunc/debye.c
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+/* specfunc/debye.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 */
+/* augmented to n=5 and 6 2005-11-08 by R. J. Mathar, http://www.strw.leidenuniv.nl/~mathar */
+
+#include <config.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_sf_debye.h>
+
+#include "error.h"
+#include "check.h"
+
+#include "chebyshev.h"
+#include "cheb_eval.c"
+
+static double adeb1_data[17] = {
+ 2.4006597190381410194,
+ 0.1937213042189360089,
+ -0.62329124554895770e-02,
+ 0.3511174770206480e-03,
+ -0.228222466701231e-04,
+ 0.15805467875030e-05,
+ -0.1135378197072e-06,
+ 0.83583361188e-08,
+ -0.6264424787e-09,
+ 0.476033489e-10,
+ -0.36574154e-11,
+ 0.2835431e-12,
+ -0.221473e-13,
+ 0.17409e-14,
+ -0.1376e-15,
+ 0.109e-16,
+ -0.9e-18
+};
+static cheb_series adeb1_cs = {
+ adeb1_data,
+ 16,
+ -1.0, 1.0,
+ 9
+};
+
+static double adeb2_data[18] = {
+ 2.5943810232570770282,
+ 0.2863357204530719834,
+ -0.102062656158046713e-01,
+ 0.6049109775346844e-03,
+ -0.405257658950210e-04,
+ 0.28633826328811e-05,
+ -0.2086394303065e-06,
+ 0.155237875826e-07,
+ -0.11731280087e-08,
+ 0.897358589e-10,
+ -0.69317614e-11,
+ 0.5398057e-12,
+ -0.423241e-13,
+ 0.33378e-14,
+ -0.2645e-15,
+ 0.211e-16,
+ -0.17e-17,
+ 0.1e-18
+};
+static cheb_series adeb2_cs = {
+ adeb2_data,
+ 17,
+ -1.0, 1.0,
+ 10
+};
+
+static double adeb3_data[17] = {
+ 2.707737068327440945,
+ 0.340068135211091751,
+ -0.12945150184440869e-01,
+ 0.7963755380173816e-03,
+ -0.546360009590824e-04,
+ 0.39243019598805e-05,
+ -0.2894032823539e-06,
+ 0.217317613962e-07,
+ -0.16542099950e-08,
+ 0.1272796189e-09,
+ -0.987963460e-11,
+ 0.7725074e-12,
+ -0.607797e-13,
+ 0.48076e-14,
+ -0.3820e-15,
+ 0.305e-16,
+ -0.24e-17
+};
+static cheb_series adeb3_cs = {
+ adeb3_data,
+ 16,
+ -1.0, 1.0,
+ 10
+};
+
+static double adeb4_data[17] = {
+ 2.781869415020523460,
+ 0.374976783526892863,
+ -0.14940907399031583e-01,
+ 0.945679811437042e-03,
+ -0.66132916138933e-04,
+ 0.4815632982144e-05,
+ -0.3588083958759e-06,
+ 0.271601187416e-07,
+ -0.20807099122e-08,
+ 0.1609383869e-09,
+ -0.125470979e-10,
+ 0.9847265e-12,
+ -0.777237e-13,
+ 0.61648e-14,
+ -0.4911e-15,
+ 0.393e-16,
+ -0.32e-17
+};
+static cheb_series adeb4_cs = {
+ adeb4_data,
+ 16,
+ -1.0, 1.0,
+ 10
+};
+
+static double adeb5_data[17] = {
+ 2.8340269546834530149,
+ 0.3994098857106266445,
+ -0.164566764773099646e-1,
+ 0.10652138340664541e-2,
+ -0.756730374875418e-4,
+ 0.55745985240273e-5,
+ -0.4190692330918e-6,
+ 0.319456143678e-7,
+ -0.24613318171e-8,
+ 0.1912801633e-9,
+ -0.149720049e-10,
+ 0.11790312e-11,
+ -0.933329e-13,
+ 0.74218e-14,
+ -0.5925e-15,
+ 0.475e-16,
+ -0.39e-17
+};
+static cheb_series adeb5_cs = {
+ adeb5_data,
+ 16,
+ -1.0, 1.0,
+ 10
+};
+
+static double adeb6_data[17] = {
+ 2.8726727134130122113,
+ 0.4174375352339027746,
+ -0.176453849354067873e-1,
+ 0.11629852733494556e-2,
+ -0.837118027357117e-4,
+ 0.62283611596189e-5,
+ -0.4718644465636e-6,
+ 0.361950397806e-7,
+ -0.28030368010e-8,
+ 0.2187681983e-9,
+ -0.171857387e-10,
+ 0.13575809e-11,
+ -0.1077580e-12,
+ 0.85893e-14,
+ -0.6872e-15,
+ 0.552e-16,
+ -0.44e-17
+};
+static cheb_series adeb6_cs = {
+ adeb6_data,
+ 16,
+ -1.0, 1.0,
+ 10
+};
+
+
+/*-*-*-*-*-*-*-*-*-*-*-* Functions with Error Codes *-*-*-*-*-*-*-*-*-*-*-*/
+
+int gsl_sf_debye_1_e(const double x, gsl_sf_result * result)
+{
+ const double val_infinity = 1.64493406684822644;
+ const double xcut = -GSL_LOG_DBL_MIN;
+
+ /* CHECK_POINTER(result) */
+
+ if(x < 0.0) {
+ DOMAIN_ERROR(result);
+ }
+ else if(x < 2.0*GSL_SQRT_DBL_EPSILON) {
+ result->val = 1.0 - 0.25*x + x*x/36.0;
+ result->err = GSL_DBL_EPSILON * fabs(result->val);
+ return GSL_SUCCESS;
+ }
+ else if(x <= 4.0) {
+ const double t = x*x/8.0 - 1.0;
+ gsl_sf_result c;
+ cheb_eval_e(&adeb1_cs, t, &c);
+ result->val = c.val - 0.25 * x;
+ result->err = c.err + 0.25 * x * GSL_DBL_EPSILON;
+ return GSL_SUCCESS;
+ }
+ else if(x < -(M_LN2 + GSL_LOG_DBL_EPSILON)) {
+ const int nexp = floor(xcut/x);
+ const double ex = exp(-x);
+ double sum = 0.0;
+ double xk = nexp * x;
+ double rk = nexp;
+ int i;
+ for(i=nexp; i>=1; i--) {
+ sum *= ex;
+ sum += (1.0 + 1.0/xk)/rk;
+ rk -= 1.0;
+ xk -= x;
+ }
+ result->val = val_infinity/x - sum*ex;
+ result->err = GSL_DBL_EPSILON * fabs(result->val);
+ return GSL_SUCCESS;
+ }
+ else if(x < xcut) {
+ result->val = (val_infinity - exp(-x)*(x+1.0)) / x;
+ result->err = GSL_DBL_EPSILON * fabs(result->val);
+ return GSL_SUCCESS;
+ }
+ else {
+ result->val = val_infinity/x;
+ result->err = GSL_DBL_EPSILON * fabs(result->val);
+ return GSL_SUCCESS;
+ }
+}
+
+
+int gsl_sf_debye_2_e(const double x, gsl_sf_result * result)
+{
+ const double val_infinity = 4.80822761263837714;
+ const double xcut = -GSL_LOG_DBL_MIN;
+
+ /* CHECK_POINTER(result) */
+
+ if(x < 0.0) {
+ DOMAIN_ERROR(result);
+ }
+ else if(x < 2.0*M_SQRT2*GSL_SQRT_DBL_EPSILON) {
+ result->val = 1.0 - x/3.0 + x*x/24.0;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x <= 4.0) {
+ const double t = x*x/8.0 - 1.0;
+ gsl_sf_result c;
+ cheb_eval_e(&adeb2_cs, t, &c);
+ result->val = c.val - x/3.0;
+ result->err = c.err + GSL_DBL_EPSILON * x/3.0;
+ return GSL_SUCCESS;
+ }
+ else if(x < -(M_LN2 + GSL_LOG_DBL_EPSILON)) {
+ const int nexp = floor(xcut/x);
+ const double ex = exp(-x);
+ double xk = nexp * x;
+ double rk = nexp;
+ double sum = 0.0;
+ int i;
+ for(i=nexp; i>=1; i--) {
+ sum *= ex;
+ sum += (1.0 + 2.0/xk + 2.0/(xk*xk)) / rk;
+ rk -= 1.0;
+ xk -= x;
+ }
+ result->val = val_infinity/(x*x) - 2.0 * sum * ex;
+ result->err = GSL_DBL_EPSILON * fabs(result->val);
+ return GSL_SUCCESS;
+ }
+ else if(x < xcut) {
+ const double x2 = x*x;
+ const double sum = 2.0 + 2.0*x + x2;
+ result->val = (val_infinity - 2.0 * sum * exp(-x)) / x2;
+ result->err = GSL_DBL_EPSILON * fabs(result->val);
+ return GSL_SUCCESS;
+ }
+ else {
+ result->val = (val_infinity/x)/x;
+ result->err = GSL_DBL_EPSILON * result->val;
+ CHECK_UNDERFLOW(result);
+ return GSL_SUCCESS;
+ }
+}
+
+
+int gsl_sf_debye_3_e(const double x, gsl_sf_result * result)
+{
+ const double val_infinity = 19.4818182068004875;
+ const double xcut = -GSL_LOG_DBL_MIN;
+
+ /* CHECK_POINTER(result) */
+
+ if(x < 0.0) {
+ DOMAIN_ERROR(result);
+ }
+ else if(x < 2.0*M_SQRT2*GSL_SQRT_DBL_EPSILON) {
+ result->val = 1.0 - 3.0*x/8.0 + x*x/20.0;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x <= 4.0) {
+ const double t = x*x/8.0 - 1.0;
+ gsl_sf_result c;
+ cheb_eval_e(&adeb3_cs, t, &c);
+ result->val = c.val - 0.375*x;
+ result->err = c.err + GSL_DBL_EPSILON * 0.375*x;
+ return GSL_SUCCESS;
+ }
+ else if(x < -(M_LN2 + GSL_LOG_DBL_EPSILON)) {
+ const int nexp = floor(xcut/x);
+ const double ex = exp(-x);
+ double xk = nexp * x;
+ double rk = nexp;
+ double sum = 0.0;
+ int i;
+ for(i=nexp; i>=1; i--) {
+ double xk_inv = 1.0/xk;
+ sum *= ex;
+ sum += (((6.0*xk_inv + 6.0)*xk_inv + 3.0)*xk_inv + 1.0) / rk;
+ rk -= 1.0;
+ xk -= x;
+ }
+ result->val = val_infinity/(x*x*x) - 3.0 * sum * ex;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x < xcut) {
+ const double x3 = x*x*x;
+ const double sum = 6.0 + 6.0*x + 3.0*x*x + x3;
+ result->val = (val_infinity - 3.0 * sum * exp(-x)) / x3;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else {
+ result->val = ((val_infinity/x)/x)/x;
+ result->err = GSL_DBL_EPSILON * result->val;
+ CHECK_UNDERFLOW(result);
+ return GSL_SUCCESS;
+ }
+}
+
+
+int gsl_sf_debye_4_e(const double x, gsl_sf_result * result)
+{
+ const double val_infinity = 99.5450644937635129;
+ const double xcut = -GSL_LOG_DBL_MIN;
+
+ /* CHECK_POINTER(result) */
+
+ if(x < 0.0) {
+ DOMAIN_ERROR(result);
+ }
+ else if(x < 2.0*M_SQRT2*GSL_SQRT_DBL_EPSILON) {
+ result->val = 1.0 - 2.0*x/5.0 + x*x/18.0;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x <= 4.0) {
+ const double t = x*x/8.0 - 1.0;
+ gsl_sf_result c;
+ cheb_eval_e(&adeb4_cs, t, &c);
+ result->val = c.val - 2.0*x/5.0;
+ result->err = c.err + GSL_DBL_EPSILON * 2.0*x/5.0;
+ return GSL_SUCCESS;
+ }
+ else if(x < -(M_LN2 + GSL_LOG_DBL_EPSILON)) {
+ const int nexp = floor(xcut/x);
+ const double ex = exp(-x);
+ double xk = nexp * x;
+ double rk = nexp;
+ double sum = 0.0;
+ int i;
+ for(i=nexp; i>=1; i--) {
+ double xk_inv = 1.0/xk;
+ sum *= ex;
+ sum += ((((24.0*xk_inv + 24.0)*xk_inv + 12.0)*xk_inv + 4.0)*xk_inv + 1.0) / rk;
+ rk -= 1.0;
+ xk -= x;
+ }
+ result->val = val_infinity/(x*x*x*x) - 4.0 * sum * ex;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x < xcut) {
+ const double x2 = x*x;
+ const double x4 = x2*x2;
+ const double sum = 24.0 + 24.0*x + 12.0*x2 + 4.0*x2*x + x4;
+ result->val = (val_infinity - 4.0 * sum * exp(-x)) / x4;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else {
+ result->val = (((val_infinity/x)/x)/x)/x;
+ result->err = GSL_DBL_EPSILON * result->val;
+ CHECK_UNDERFLOW(result);
+ return GSL_SUCCESS;
+ }
+}
+
+int gsl_sf_debye_5_e(const double x, gsl_sf_result * result)
+{
+ const double val_infinity = 610.405837190669483828710757875 ;
+ const double xcut = -GSL_LOG_DBL_MIN;
+
+ /* CHECK_POINTER(result) */
+
+ if(x < 0.0) {
+ DOMAIN_ERROR(result);
+ }
+ else if(x < 2.0*M_SQRT2*GSL_SQRT_DBL_EPSILON) {
+ result->val = 1.0 - 5.0*x/12.0 + 5.0*x*x/84.0;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x <= 4.0) {
+ const double t = x*x/8.0 - 1.0;
+ gsl_sf_result c;
+ cheb_eval_e(&adeb5_cs, t, &c);
+ result->val = c.val - 5.0*x/12.0;
+ result->err = c.err + GSL_DBL_EPSILON * 5.0*x/12.0;
+ return GSL_SUCCESS;
+ }
+ else if(x < -(M_LN2 + GSL_LOG_DBL_EPSILON)) {
+ const int nexp = floor(xcut/x);
+ const double ex = exp(-x);
+ double xk = nexp * x;
+ double rk = nexp;
+ double sum = 0.0;
+ int i;
+ for(i=nexp; i>=1; i--) {
+ double xk_inv = 1.0/xk;
+ sum *= ex;
+ sum += (((((120.0*xk_inv + 120.0)*xk_inv + 60.0)*xk_inv + 20.0)*xk_inv + 5.0)*xk_inv+ 1.0) / rk;
+ rk -= 1.0;
+ xk -= x;
+ }
+ result->val = val_infinity/(x*x*x*x*x) - 5.0 * sum * ex;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x < xcut) {
+ const double x2 = x*x;
+ const double x4 = x2*x2;
+ const double x5 = x4*x;
+ const double sum = 120.0 + 120.0*x + 60.0*x2 + 20.0*x2*x + 5.0*x4 + x5;
+ result->val = (val_infinity - 5.0 * sum * exp(-x)) / x5;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else {
+ result->val = ((((val_infinity/x)/x)/x)/x)/x;
+ result->err = GSL_DBL_EPSILON * result->val;
+ CHECK_UNDERFLOW(result);
+ return GSL_SUCCESS;
+ }
+}
+
+int gsl_sf_debye_6_e(const double x, gsl_sf_result * result)
+{
+ const double val_infinity = 4356.06887828990661194792541535 ;
+ const double xcut = -GSL_LOG_DBL_MIN;
+
+ /* CHECK_POINTER(result) */
+
+ if(x < 0.0) {
+ DOMAIN_ERROR(result);
+ }
+ else if(x < 2.0*M_SQRT2*GSL_SQRT_DBL_EPSILON) {
+ result->val = 1.0 - 3.0*x/7.0 + x*x/16.0;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x <= 4.0) {
+ const double t = x*x/8.0 - 1.0;
+ gsl_sf_result c;
+ cheb_eval_e(&adeb6_cs, t, &c);
+ result->val = c.val - 3.0*x/7.0;
+ result->err = c.err + GSL_DBL_EPSILON * 3.0*x/7.0;
+ return GSL_SUCCESS;
+ }
+ else if(x < -(M_LN2 + GSL_LOG_DBL_EPSILON)) {
+ const int nexp = floor(xcut/x);
+ const double ex = exp(-x);
+ double xk = nexp * x;
+ double rk = nexp;
+ double sum = 0.0;
+ int i;
+ for(i=nexp; i>=1; i--) {
+ double xk_inv = 1.0/xk;
+ sum *= ex;
+ sum += ((((((720.0*xk_inv + 720.0)*xk_inv + 360.0)*xk_inv + 120.0)*xk_inv + 30.0)*xk_inv+ 6.0)*xk_inv+ 1.0) / rk;
+ rk -= 1.0;
+ xk -= x;
+ }
+ result->val = val_infinity/(x*x*x*x*x*x) - 6.0 * sum * ex;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else if(x < xcut) {
+ const double x2 = x*x;
+ const double x4 = x2*x2;
+ const double x6 = x4*x2;
+ const double sum = 720.0 + 720.0*x + 360.0*x2 + 120.0*x2*x + 30.0*x4 + 6.0*x4*x +x6 ;
+ result->val = (val_infinity - 6.0 * sum * exp(-x)) / x6;
+ result->err = GSL_DBL_EPSILON * result->val;
+ return GSL_SUCCESS;
+ }
+ else {
+ result->val = (((((val_infinity/x)/x)/x)/x)/x)/x ;
+ result->err = GSL_DBL_EPSILON * result->val;
+ CHECK_UNDERFLOW(result);
+ return GSL_SUCCESS;
+ }
+}
+
+
+/*-*-*-*-*-*-*-*-*-* Functions w/ Natural Prototypes *-*-*-*-*-*-*-*-*-*-*/
+
+#include "eval.h"
+
+double gsl_sf_debye_1(const double x)
+{
+ EVAL_RESULT(gsl_sf_debye_1_e(x, &result));
+}
+
+double gsl_sf_debye_2(const double x)
+{
+ EVAL_RESULT(gsl_sf_debye_2_e(x, &result));
+}
+
+double gsl_sf_debye_3(const double x)
+{
+ EVAL_RESULT(gsl_sf_debye_3_e(x, &result));
+}
+
+double gsl_sf_debye_4(const double x)
+{
+ EVAL_RESULT(gsl_sf_debye_4_e(x, &result));
+}
+
+double gsl_sf_debye_5(const double x)
+{
+ EVAL_RESULT(gsl_sf_debye_5_e(x, &result));
+}
+
+double gsl_sf_debye_6(const double x)
+{
+ EVAL_RESULT(gsl_sf_debye_6_e(x, &result));
+}
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