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test_sf.c

/* specfunc/test_sf.c
 * 
 * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2004 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 <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_ieee_utils.h>
#include <gsl/gsl_test.h>
#include <gsl/gsl_sf.h>
#include "test_sf.h"


double
test_sf_frac_diff(double x1, double x2)
{
  if(x1 == 0.0 && x2 == 0.0) {
    return 0.0;
  }
  else if (x1 == 0.0) {
    return fabs(x2);
  } else if(x1 <= DBL_MAX && x2 <= DBL_MAX && (x1 + x2 != 0.0)) {
    return fabs((x1-x2)/(x1+x2));
  }
  else {
    return 1.0;
  }
}


/* Check a result against a given value and tolerance.
 */
int
test_sf_check_result(char * message_buff, gsl_sf_result r, double val, double tol)
{
  int    s = 0;
  double f = 0;

  if (gsl_isnan(r.val) || gsl_isnan(val)) 
    {
      s = (gsl_isnan(r.val) != gsl_isnan(val)) ? TEST_SF_INCONS : s; 
    }
  else if (gsl_isinf(r.val) || gsl_isinf(val)) 
    {
      s = (gsl_isinf(r.val) != gsl_isinf(val)) ? TEST_SF_INCONS : s; 
    }
  else
    {
      f = test_sf_frac_diff(val, r.val);

      if(fabs(val - r.val) > 2.0 * TEST_SIGMA * r.err) s |= TEST_SF_INCONS;
      if(r.err < 0.0)                                  s |= TEST_SF_ERRNEG;
      if(gsl_isinf(r.err))                             s |= TEST_SF_ERRBAD;
      if(f > TEST_FACTOR * tol)                        s |= TEST_SF_TOLBAD;
    }

  if(s != 0) {
    char buff[2048];
    sprintf(buff, "  expected: %20.16g\n", val);
    strcat(message_buff, buff);
    sprintf(buff, "  obtained: %20.16g +/- %.16g (rel=%g)\n", r.val, r.err, r.err/(fabs(r.val) + r.err));
    strcat(message_buff, buff);
    sprintf(buff, "  fracdiff: %20.16g\n", f);
    strcat(message_buff, buff);
  }

  if(s & TEST_SF_INCONS) {
    strcat(message_buff, "  value/expected not consistent within reported error\n");
  }
  if(s & TEST_SF_ERRNEG) {
    strcat(message_buff, "  reported error negative\n");
  }
  if(s & TEST_SF_ERRBAD) {
    strcat(message_buff, "  reported error is bad\n");
  }
  if(s & TEST_SF_TOLBAD) {
    strcat(message_buff, "  value not within tolerance of expected value\n");
  }

  return s;
}

int
test_sf_check_val(char * message_buff, double rval, double val, double tol)
{
  int    s = 0;
  double f = test_sf_frac_diff(val, rval);

  if(f > TEST_FACTOR * tol)                       s |= TEST_SF_TOLBAD;

  if(s != 0) {
    char buff[2048];
    sprintf(buff, "  expected: %20.16g\n", val);
    strcat(message_buff, buff);
    sprintf(buff, "  obtained: %20.16g\n", rval);
    strcat(message_buff, buff);
    sprintf(buff, "  fracdiff: %20.16g\n", f);
    strcat(message_buff, buff);
  }

  if(s & TEST_SF_TOLBAD) {
    strcat(message_buff, "  value not within tolerance of expected value\n");
  }

  return s;
}


/* Relax the condition on the agreement and on the usefulness
 * of the error estimate.
 */
int
test_sf_check_result_relax(char * message_buff, gsl_sf_result r, double val, double tol)
{
  int    s = 0;
  double f = test_sf_frac_diff(val, r.val);

  if(f > GSL_MAX_DBL(TEST_SNGL, TEST_FACTOR * tol))   s |= TEST_SF_INCONS;
  if(r.err < 0.0)     s |= TEST_SF_ERRNEG;
  if(gsl_isinf(r.err))              s |= TEST_SF_ERRBAD;
  if(f > TEST_FACTOR * tol)         s |= TEST_SF_TOLBAD;

  if(s != 0) {
    char buff[2048];
    sprintf(buff, "  expected: %20.16g\n", val);
    strcat(message_buff, buff);
    sprintf(buff, "  obtained: %20.16g +/- %.16g  (rel=%g)\n", r.val, r.err, r.err/(fabs(r.val) + r.err));
    strcat(message_buff, buff);
    sprintf(buff, "  fracdiff: %20.16g\n", f);
    strcat(message_buff, buff);
  }

  if(s & TEST_SF_INCONS) {
    strcat(message_buff, "  value/expected not consistent MAX(tol,SINGLE_PREC)\n");
  }
  if(s & TEST_SF_ERRNEG) {
    strcat(message_buff, "  reported error negative\n");
  }
  if(s & TEST_SF_ERRBAD) {
    strcat(message_buff, "  reported error is bad\n");
  }
  if(s & TEST_SF_TOLBAD) {
    strcat(message_buff, "  value not within tolerance of expected value\n");
  }

  return s;
}


/* Check a return value.
 */
int
test_sf_check_return(char * message_buff, int val_return, int expected_return)
{
  if(val_return != expected_return) {
    char buff[256];
    sprintf(buff, "  unexpected return code: %d\n", val_return);
    strcat(message_buff, buff);
    return TEST_SF_RETBAD;
  }
  else {
    return 0;
  }
}


int
test_sf (gsl_sf_result r, double val_in, double tol, int status,
         int expect_return, const char * desc)
{
  char message_buff[4096];
  int local_s = 0;

  message_buff[0] = '\0';

  local_s |= test_sf_check_result(message_buff, r, val_in, tol);
  local_s |= test_sf_check_return(message_buff, status, expect_return);

  gsl_test(local_s, desc);
  if(local_s != 0) {
    /* printf("  %s %d\n", __FILE__, __LINE__); */
    printf("%s", message_buff);
    printf("  %22.18g  %22.18g\n", r.val, r.err);
  }
  return local_s;
}

int
test_sf_val (double val, double val_in, double tol, const char * desc)
{
  char message_buff[4096];
  int local_s = 0;

  message_buff[0] = '\0';

  local_s |= test_sf_check_val(message_buff, val, val_in, tol);

  gsl_test(local_s, desc);
  if(local_s != 0) {
    /* printf("  %s %d\n", __FILE__, __LINE__); */
    printf("%s", message_buff);
    printf("  %22.18g\n", val);
  }
  return local_s;
}


int
test_sf_rlx (gsl_sf_result r, double val_in, double tol, int status,
             int expect_return, const char * desc)
{
  char message_buff[4096];
  int local_s = 0;

  message_buff[0] = '\0';

  local_s |= test_sf_check_result_relax(message_buff, r, val_in, tol);
  local_s |= test_sf_check_return(message_buff, status, expect_return);

  gsl_test(local_s, desc);
  if(local_s != 0) {
    /* printf("  %s %d\n", __FILE__, __LINE__); */
    printf("%s", message_buff);
    printf("  %22.18g  %22.18g\n", r.val, r.err);
  }
  return local_s;
}


int
test_sf_2 (gsl_sf_result r1, double val1, double tol1, 
           gsl_sf_result r2, double val2, double tol2,
           int status, int expect_return, const char * desc)
{
  char message_buff[4096];
  int local_s = 0;

  message_buff[0] = '\0';

  local_s |= test_sf_check_result(message_buff, r1, val1, tol1);
  local_s |= test_sf_check_result(message_buff, r2, val2, tol2);
  local_s |= test_sf_check_return(message_buff, status, expect_return);

  gsl_test(local_s, desc);
  if(local_s != 0) {
    /* printf("  %s %d\n", __FILE__, __LINE__); */
    printf("%s", message_buff);
    printf("  %22.18g  %22.18g\n", r1.val, r1.err);
    printf("  %22.18g  %22.18g\n", r2.val, r2.err);
  }
  return local_s;
}

int
test_sf_sgn (gsl_sf_result r, double sgn, double val_in, double tol, double expect_sgn, int status,
             int expect_return, const char * desc)
{
  char message_buff[4096];
  gsl_sf_result local_r;
  int local_s = 0;

  message_buff[0] = '\0';

  local_r.val = sgn;
  local_r.err = 0.0;
  local_s |= test_sf_check_result(message_buff, r, val_in, tol);
  local_s |= test_sf_check_result(message_buff, local_r, expect_sgn, 0.0);
  local_s |= test_sf_check_return(message_buff, status, expect_return);

  gsl_test(local_s, desc);
  if(local_s != 0) {
    /* printf("  %s %d\n", __FILE__, __LINE__); */
    printf("%s", message_buff);
    printf("  %22.18g  %22.18g\n", r.val, r.err);
  }
  return local_s;
}

int test_clausen(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s,  gsl_sf_clausen_e, (M_PI/20.0, &r), 0.4478882448133546, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_clausen_e, (M_PI/6.0, &r), 0.8643791310538927, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_clausen_e, (M_PI/3.0, &r), 1.0149416064096535, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_clausen_e, (  2.0*M_PI + M_PI/3.0, &r), 1.0149416064096535, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_clausen_e, (100.0*M_PI + M_PI/3.0, &r), 1.0149416064096535, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_coupling(void)
{
  gsl_sf_result r;
  int s = 0;

  /* Test 3j */

  TEST_SF(s, gsl_sf_coupling_3j_e, (0, 1, 1, 0,  1, -1, &r), sqrt(1.0/2.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 1, 2, 1, -1,  0, &r), sqrt(1.0/6.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (2, 4, 6, 0,  2, -2, &r), sqrt(8.0/105.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (4, 4, 8, 0,  0,  0, &r), sqrt(2.0/35.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (4, 4, 8, 2, -2,  0, &r), 2.0/3.0*sqrt(2.0/35.0), TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (4, 4, 8, 4, -4,  0, &r), 1.0/(3.0*sqrt(70.0)), TEST_TOL2, GSL_SUCCESS);

  /* Test 3j error checking */

  TEST_SF(s, gsl_sf_coupling_3j_e, (-1, 1, 2, 1, -1, 0, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_3j_e, (1, -1, 2, 1, -1, 0, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 1, -2, 1, -1, 0, &r), GSL_NAN, GSL_NAN, GSL_EDOM);

  /* Test |m_i|<=j_i */

  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 1, 2, 2, -1, 0, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 1, 2, 1, -2, 0, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 1, 2, 1, -1, 3, &r), 0, 0, GSL_SUCCESS);

  /* Test triangle condition j1 + j2 >= j, j >= j2 - j1, j>= j1 - j2 */

  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 1, 3, 1, -1, 0, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (1, 4, 2, 1, -1, 0, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_3j_e, (4, 1, 2, 1, -1, 0, &r), 0, 0, GSL_SUCCESS);

  /* Test 6j */

  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, 2, 2, 2, &r),  1.0/6.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (4, 4, 2, 4, 4, 4, &r), -1.0/10.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (4, 4, 2, 4, 4, 2, &r),  1.0/6.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (4, 4, 2, 2, 2, 2, &r), -0.5/sqrt(5.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (4, 4, 4, 2, 2, 2, &r),  sqrt(7.0/3.0)/10.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (6, 6, 6, 4, 4, 4, &r), -sqrt(3.0/5.0)/14.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (6, 6, 6, 4, 4, 2, &r), -sqrt(3.0/5.0)/7.0, TEST_TOL0, GSL_SUCCESS);

  /* Test 6j error checking */

  TEST_SF(s, gsl_sf_coupling_6j_e, (-2, 2, 4, 2, 2, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, -2, 4, 2, 2, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, -4, 2, 2, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, -2, 2, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, 2, -2, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, 2, 2, -2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);

  /* Test 6j triangle conditions */

  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, 2, 2, 7, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, 2, 7, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 4, 7, 2, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 2, 7, 2, 2, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (2, 7, 4, 2, 2, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_6j_e, (7, 2, 4, 2, 2, 2, &r), 0, 0, GSL_SUCCESS);

  /* Test 9j */

  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2,  4, 3, 3, 2, 1, 1, 2, &r), -sqrt(1.0/6.0)/10.0, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (8, 4, 10, 7, 3, 8, 1, 1, 2, &r),  sqrt(7.0/3.0)/60.0, TEST_TOL2, GSL_SUCCESS);

  /* Test 9j error checking */

  TEST_SF(s, gsl_sf_coupling_9j_e, (-4, 2, 4, 3, 3, 2, 1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, -2, 4, 3, 3, 2, 1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, -4, 3, 3, 2, 1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, -3, 3, 2, 1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, -3, 2, 1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, -2, 1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 2, -1, 1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 2, 1, -1, 2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 2, 1, 1, -2, &r), GSL_NAN, GSL_NAN, GSL_EDOM);

  TEST_SF(s, gsl_sf_coupling_9j_e, (10, 2, 4, 3, 3, 2, 1, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 10, 4, 3, 3, 2, 1, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 10, 3, 3, 2, 1, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 10, 3, 2, 1, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 10, 2, 1, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 10, 1, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 2, 10, 1, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 2, 1, 10, 2, &r), 0, 0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_coupling_9j_e, (4, 2, 4, 3, 3, 2, 1, 1, 10, &r), 0, 0, GSL_SUCCESS);
  return s;
}

int test_dawson(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_dawson_e, (1.0e-15, &r), 1.0e-15, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_dawson_e, (0.5, &r), 0.4244363835020222959, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_dawson_e, (2.0, &r), 0.30134038892379196603, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_dawson_e, (1000.0, &r), 0.0005000002500003750009, TEST_TOL0, GSL_SUCCESS);
  
  return s;
}

int test_debye(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_debye_1_e, (0.1, &r),  0.975277750004723276, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_1_e, (1.0, &r),  0.777504634112248239, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_1_e, (10.0, &r), 0.164443465679946027, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_debye_2_e, (0.1, &r),  0.967083287045302664,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_2_e, (1.0, &r),  0.70787847562782924,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_2_e, (10.0, &r), 0.0479714980201218708, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_debye_3_e, (0.1, &r),  0.962999940487211048,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_3_e, (1.0, &r),  0.674415564077814667,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_3_e, (10.0, &r), 0.0192957656903454886, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_debye_4_e, (0.1, &r),  0.960555486124335944,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_4_e, (1.0, &r),  0.654874068886737049,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_4_e, (10.0, &r), 0.00967367556027115896, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_debye_5_e, (0.1, &r),  0.95892849428310568745,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_5_e, (1.0, &r),  0.6421002580217790246,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_5_e, (10.0, &r), 0.005701535852992908538, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_debye_6_e, (0.1, &r),  0.95776777382605465878,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_6_e, (1.0, &r),  0.63311142583495107588,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_debye_6_e, (10.0, &r), 3.7938493294615955279e-3, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_elementary(void)
{
  gsl_sf_result r;
  double x = 0.2*DBL_MAX;
  int s = 0;

  TEST_SF(s,  gsl_sf_multiply_e, (-3.0,2.0, &r), -6.0,          TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_multiply_e, (x, 1.0/x, &r),  1.0,          TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_multiply_e, (x, 0.2, &r),    0.04*DBL_MAX, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_multiply_e, (x, 4.0, &r),    0.8*DBL_MAX,  TEST_TOL1, GSL_SUCCESS);
  s += ( gsl_sf_multiply_e(DBL_MAX, 1.1, &r) != GSL_EOVRFLW);
  s += ( gsl_sf_multiply_e(DBL_MIN,  DBL_MIN, &r) != GSL_EUNDRFLW);
  s += ( gsl_sf_multiply_e(DBL_MIN, -DBL_MIN, &r) != GSL_EUNDRFLW);

  return s;
}


int test_ellint(void)
{
  gsl_sf_result r;
  gsl_mode_t mode = GSL_MODE_DEFAULT;
  int s = 0;
  
  TEST_SF(s,  gsl_sf_ellint_Kcomp_e, ( 0.99, mode, &r), 3.3566005233611923760, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Kcomp_e, ( 0.50, mode, &r), 1.6857503548125960429, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Kcomp_e, (0.010, mode, &r), 1.5708355989121522360, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_Ecomp_e, (0.99, mode, &r), 1.0284758090288040010, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Ecomp_e, (0.50, mode, &r), 1.4674622093394271555, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Ecomp_e, (0.01, mode, &r), 1.5707570561503852873, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_Pcomp_e, (0.99, 0.1, mode, &r), 3.13792612351836506315593, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Pcomp_e, (0.50, 0.1, mode, &r), 1.60455249360848890075108, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Pcomp_e, (0.01, 0.1, mode, &r), 1.49773208536003801277453, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_Dcomp_e, (0.99, mode, &r), 2.375395076351788975665323192, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Dcomp_e, (0.50, mode, &r), 0.8731525818926755496456335628, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_Dcomp_e, (0.01, mode, &r), 0.7854276176694868932799393751, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI/3.0, 0.99, mode, &r), 1.3065333392738766762, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI/3.0, 0.50, mode, &r), 1.0895506700518854093, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI/3.0, 0.01, mode, &r), 1.0472129063770918952, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI/3.0, 0.99, mode, &r), 0.8704819220377943536, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI/3.0, 0.50, mode, &r), 1.0075555551444720293, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI/3.0, 0.01, mode, &r), 1.0471821963889481104, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI/3.0, 0.99, 0.5, mode, &r), 1.1288726598764099882, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI/3.0, 0.50, 0.5, mode, &r), 0.9570574331323584890, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI/3.0, 0.01, 0.5, mode, &r), 0.9228868127118118465, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_RF_e, (5.0e-11, 1.0e-10, 1.0, mode, &r), 12.36441982979439, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_RF_e, (1.0, 2.0, 3.0, mode, &r), 0.7269459354689082, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_RD_e, (5.0e-11, 1.0e-10, 1.0, mode, &r), 34.0932594919337362, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_RD_e, (1.0, 2.0, 3.0, mode, &r), 0.2904602810289906, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_RC_e, (1.0, 2.0, mode, &r), 0.7853981633974482, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_RJ_e, (2.0, 3.0, 4.0, 5.0, mode, &r), 0.1429757966715675, TEST_TOL0, GSL_SUCCESS);

  /* E, argument phi > pi/2  */

  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI/2.0, 0.99, mode, &r), 1.02847580902880400098389, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI/2.0, 0.50, mode, &r), 1.46746220933942715545980, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI/2.0, 0.01, mode, &r), 1.57075705615038528733708, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (2*M_PI/3.0, 0.99, mode, &r), 1.18646969601981364833972, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (2*M_PI/3.0, 0.50, mode, &r), 1.92736886353438228163734, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (2*M_PI/3.0, 0.01, mode, &r), 2.09433191591182246425715, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI, 0.99, mode, &r), 2.05695161805760800196777, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI, 0.50, mode, &r), 2.93492441867885431091959, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (M_PI, 0.01, mode, &r), 3.14151411230077057467416, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (4*M_PI/3, 0.99, mode, &r), 2.92743354009540235559582, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (4*M_PI/3, 0.50, mode, &r), 3.94247997382332634020184, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (4*M_PI/3, 0.01, mode, &r), 4.18869630868971868509117, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (3*M_PI/2.0, 0.99, mode, &r), 3.08542742708641200295166, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (3*M_PI/2.0, 0.50, mode, &r), 4.40238662801828146637939, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (3*M_PI/2.0, 0.01, mode, &r), 4.71227116845115586201123, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (5*M_PI/3, 0.99, mode, &r), 3.24342131407742165030750, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (5*M_PI/3, 0.50, mode, &r), 4.86229328221323659255693, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (5*M_PI/3, 0.01, mode, &r), 5.23584602821259303893130, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (2*M_PI, 0.99, mode, &r), 4.11390323611521600393555, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (2*M_PI, 0.50, mode, &r), 5.86984883735770862183918, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (2*M_PI, 0.01, mode, &r), 6.28302822460154114934831, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (7*M_PI/3.0, 0.99, mode, &r), 4.98438515815301035756360, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (7*M_PI/3.0, 0.50, mode, &r), 6.87740439250218065112143, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (7*M_PI/3.0, 0.01, mode, &r), 7.33021042099048925976532, TEST_TOL0, GSL_SUCCESS);

  /* Test some negative arguments, phi < 0 */

  TEST_SF(s,  gsl_sf_ellint_E_e, (-M_PI/2.0, 0.99, mode, &r), -1.02847580902880400098389, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-M_PI/2.0, 0.50, mode, &r), -1.46746220933942715545980, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-M_PI/2.0, 0.01, mode, &r), -1.57075705615038528733708, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-2*M_PI/3.0, 0.99, mode, &r), -1.18646969601981364833972, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-2*M_PI/3.0, 0.50, mode, &r), -1.92736886353438228163734, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-2*M_PI/3.0, 0.01, mode, &r), -2.09433191591182246425715, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-M_PI, 0.99, mode, &r), -2.05695161805760800196777, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-M_PI, 0.50, mode, &r), -2.93492441867885431091959, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-M_PI, 0.01, mode, &r), -3.14151411230077057467416, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-4*M_PI/3, 0.99, mode, &r), -2.92743354009540235559582, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-4*M_PI/3, 0.50, mode, &r), -3.94247997382332634020184, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-4*M_PI/3, 0.01, mode, &r), -4.18869630868971868509117, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-3*M_PI/2.0, 0.99, mode, &r), -3.08542742708641200295166, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-3*M_PI/2.0, 0.50, mode, &r), -4.40238662801828146637939, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-3*M_PI/2.0, 0.01, mode, &r), -4.71227116845115586201123, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-5*M_PI/3, 0.99, mode, &r), -3.24342131407742165030750, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-5*M_PI/3, 0.50, mode, &r), -4.86229328221323659255693, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-5*M_PI/3, 0.01, mode, &r), -5.23584602821259303893130, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-2*M_PI, 0.99, mode, &r), -4.11390323611521600393555, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-2*M_PI, 0.50, mode, &r), -5.86984883735770862183918, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-2*M_PI, 0.01, mode, &r), -6.28302822460154114934831, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_E_e, (-7*M_PI/3.0, 0.99, mode, &r), -4.98438515815301035756360, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-7*M_PI/3.0, 0.50, mode, &r), -6.87740439250218065112143, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_E_e, (-7*M_PI/3.0, 0.01, mode, &r), -7.33021042099048925976532, TEST_TOL0, GSL_SUCCESS);


  /* F, argument phi > pi/2  */

  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI/2.0, 0.99, mode, &r), 3.35660052336119237603347, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI/2.0, 0.50, mode, &r), 1.68575035481259604287120, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI/2.0, 0.01, mode, &r), 1.57083559891215223602641, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (2*M_PI/3.0, 0.99, mode, &r), 5.40666770744850807588478, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (2*M_PI/3.0, 0.50, mode, &r), 2.28195003957330667648585, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (2*M_PI/3.0, 0.01, mode, &r), 2.09445829144721257687207, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI, 0.99, mode, &r), 6.71320104672238475206694, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI, 0.50, mode, &r), 3.37150070962519208574241, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (M_PI, 0.01, mode, &r), 3.14167119782430447205281, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (4*M_PI/3, 0.99, mode, &r), 8.01973438599626142824910, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (4*M_PI/3, 0.50, mode, &r), 4.46105137967707749499897, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (4*M_PI/3, 0.01, mode, &r), 4.18888410420139636723356, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (3*M_PI/2.0, 0.99, mode, &r), 10.0698015700835771281004, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (3*M_PI/2.0, 0.50, mode, &r), 5.05725106443778812861361, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (3*M_PI/2.0, 0.01, mode, &r), 4.71250679673645670807922, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (5*M_PI/3, 0.99, mode, &r), 12.1198687541708928279517, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (5*M_PI/3, 0.50, mode, &r), 5.65345074919849876222825, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (5*M_PI/3, 0.01, mode, &r), 5.23612948927151704892488, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (2*M_PI, 0.99, mode, &r), 13.4264020934447695041339, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (2*M_PI, 0.50, mode, &r), 6.74300141925038417148481, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (2*M_PI, 0.01, mode, &r), 6.28334239564860894410562, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (7*M_PI/3.0, 0.99, mode, &r), 14.7329354327186461803160, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (7*M_PI/3.0, 0.50, mode, &r), 7.83255208930226958074138, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (7*M_PI/3.0, 0.01, mode, &r), 7.33055530202570083928637, TEST_TOL0, GSL_SUCCESS);

  /* F, negative argument phi < 0  */

  TEST_SF(s,  gsl_sf_ellint_F_e, (-M_PI/2.0, 0.99, mode, &r), -3.35660052336119237603347, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-M_PI/2.0, 0.50, mode, &r), -1.68575035481259604287120, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-M_PI/2.0, 0.01, mode, &r), -1.57083559891215223602641, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-2*M_PI/3.0, 0.99, mode, &r), -5.40666770744850807588478, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-2*M_PI/3.0, 0.50, mode, &r), -2.28195003957330667648585, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-2*M_PI/3.0, 0.01, mode, &r), -2.09445829144721257687207, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-M_PI, 0.99, mode, &r), -6.71320104672238475206694, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-M_PI, 0.50, mode, &r), -3.37150070962519208574241, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-M_PI, 0.01, mode, &r), -3.14167119782430447205281, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-4*M_PI/3, 0.99, mode, &r), -8.01973438599626142824910, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-4*M_PI/3, 0.50, mode, &r), -4.46105137967707749499897, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-4*M_PI/3, 0.01, mode, &r), -4.18888410420139636723356, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-3*M_PI/2.0, 0.99, mode, &r), -10.0698015700835771281004, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-3*M_PI/2.0, 0.50, mode, &r), -5.05725106443778812861361, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-3*M_PI/2.0, 0.01, mode, &r), -4.71250679673645670807922, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-5*M_PI/3, 0.99, mode, &r), -12.1198687541708928279517, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-5*M_PI/3, 0.50, mode, &r), -5.65345074919849876222825, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-5*M_PI/3, 0.01, mode, &r), -5.23612948927151704892488, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-2*M_PI, 0.99, mode, &r), -13.4264020934447695041339, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-2*M_PI, 0.50, mode, &r), -6.74300141925038417148481, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-2*M_PI, 0.01, mode, &r), -6.28334239564860894410562, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_F_e, (-7*M_PI/3.0, 0.99, mode, &r), -14.7329354327186461803160, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-7*M_PI/3.0, 0.50, mode, &r), -7.83255208930226958074138, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_F_e, (-7*M_PI/3.0, 0.01, mode, &r), -7.33055530202570083928637, TEST_TOL0, GSL_SUCCESS);

  /* P, argument phi > pi/2  */

  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI/2.0, 0.99, -0.1, mode, &r), 3.61678162163246646783050, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI/2.0, 0.50, -0.1, mode, &r), 1.78030349465454812629168, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI/2.0, 0.01, -0.1, mode, &r), 1.65580719756898353270922, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (2*M_PI/3.0, 0.99, -0.1, mode, &r), 5.88008918207571119911983, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (2*M_PI/3.0, 0.50, -0.1, mode, &r), 2.43655207300356008717867, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (2*M_PI/3.0, 0.01, -0.1, mode, &r), 2.23211110528200554950903, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI, 0.99, -0.1, mode, &r), 7.23356324326493293566099, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI, 0.50, -0.1, mode, &r), 3.56060698930909625258336, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (M_PI, 0.01, -0.1, mode, &r), 3.31161439513796706541844, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (4*M_PI/3, 0.99, -0.1, mode, &r), 8.58703730445415467220216, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (4*M_PI/3, 0.50, -0.1, mode, &r), 4.68466190561463241798805, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (4*M_PI/3, 0.01, -0.1, mode, &r), 4.39111768499392858132786, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (3*M_PI/2.0, 0.99, -0.1, mode, &r), 10.8503448648973994034915, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (3*M_PI/2.0, 0.50, -0.1, mode, &r), 5.34091048396364437887504, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (3*M_PI/2.0, 0.01, -0.1, mode, &r), 4.96742159270695059812767, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (5*M_PI/3, 0.99, -0.1, mode, &r), 13.1136524253406441347808, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (5*M_PI/3, 0.50, -0.1, mode, &r), 5.99715906231265633976204, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (5*M_PI/3, 0.01, -0.1, mode, &r), 5.54372550041997261492747, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (2*M_PI, 0.99, -0.1, mode, &r), 14.4671264865298658713220, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (2*M_PI, 0.50, -0.1, mode, &r), 7.12121397861819250516672, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (2*M_PI, 0.01, -0.1, mode, &r), 6.62322879027593413083689, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (7*M_PI/3.0, 0.99, -0.1, mode, &r), 15.8206005477190876078631, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (7*M_PI/3.0, 0.50, -0.1, mode, &r), 8.24526889492372867057141, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (7*M_PI/3.0, 0.01, -0.1, mode, &r), 7.70273208013189564674630, TEST_TOL0, GSL_SUCCESS);

  /* P, negative argument phi < 0  */

  TEST_SF(s,  gsl_sf_ellint_P_e, (-M_PI/2.0, 0.99, -0.1, mode, &r), -3.61678162163246646783050, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-M_PI/2.0, 0.50, -0.1, mode, &r), -1.78030349465454812629168, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-M_PI/2.0, 0.01, -0.1, mode, &r), -1.65580719756898353270922, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-2*M_PI/3.0, 0.99, -0.1, mode, &r), -5.88008918207571119911983, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-2*M_PI/3.0, 0.50, -0.1, mode, &r), -2.43655207300356008717867, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-2*M_PI/3.0, 0.01, -0.1, mode, &r), -2.23211110528200554950903, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-M_PI, 0.99, -0.1, mode, &r), -7.23356324326493293566099, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-M_PI, 0.50, -0.1, mode, &r), -3.56060698930909625258336, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-M_PI, 0.01, -0.1, mode, &r), -3.31161439513796706541844, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-4*M_PI/3, 0.99, -0.1, mode, &r), -8.58703730445415467220216, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-4*M_PI/3, 0.50, -0.1, mode, &r), -4.68466190561463241798805, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-4*M_PI/3, 0.01, -0.1, mode, &r), -4.39111768499392858132786, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-3*M_PI/2.0, 0.99, -0.1, mode, &r), -10.8503448648973994034915, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-3*M_PI/2.0, 0.50, -0.1, mode, &r), -5.34091048396364437887504, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-3*M_PI/2.0, 0.01, -0.1, mode, &r), -4.96742159270695059812767, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-5*M_PI/3, 0.99, -0.1, mode, &r), -13.1136524253406441347808, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-5*M_PI/3, 0.50, -0.1, mode, &r), -5.99715906231265633976204, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-5*M_PI/3, 0.01, -0.1, mode, &r), -5.54372550041997261492747, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-2*M_PI, 0.99, -0.1, mode, &r), -14.4671264865298658713220, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-2*M_PI, 0.50, -0.1, mode, &r), -7.12121397861819250516672, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-2*M_PI, 0.01, -0.1, mode, &r), -6.62322879027593413083689, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_P_e, (-7*M_PI/3.0, 0.99, -0.1, mode, &r), -15.8206005477190876078631, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-7*M_PI/3.0, 0.50, -0.1, mode, &r), -8.24526889492372867057141, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_P_e, (-7*M_PI/3.0, 0.01, -0.1, mode, &r), -7.70273208013189564674630, TEST_TOL0, GSL_SUCCESS);

  /* D, argument phi > pi/2  */

  TEST_SF(s,  gsl_sf_ellint_D_e, (M_PI/2.0, 0.99, 0, mode, &r), 2.375395076351788975665323192, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (M_PI/2.0, 0.50, 0, mode, &r), 0.8731525818926755496456335628, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (M_PI/2.0, 0.01, 0, mode, &r), 0.7854276176694868932799393751, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (2*M_PI/3.0, 0.99, 0, mode, &r), 4.305885125424644860264320635, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (2*M_PI/3.0, 0.50, 0, mode, &r), 1.418324704155697579394036402, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (2*M_PI/3.0, 0.01, 0, mode, &r), 1.263755353901126149206022061, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (M_PI, 0.99, 0, mode, &r), 4.750790152703577951330646444, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (M_PI, 0.50, 0, mode, &r), 1.746305163785351099291267125, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (M_PI, 0.01, 0, mode, &r), 1.570855235338973786559878750, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (4*M_PI/3, 0.99, 0, mode, &r), 5.195695179982511042396972113, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (4*M_PI/3, 0.50, 0, mode, &r), 2.074285623415004619188497818, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (4*M_PI/3, 0.01, 0, mode, &r), 1.877955116776821423913735408, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (3*M_PI/2.0, 0.99, 0, mode, &r), 7.126185229055366926995969476, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (3*M_PI/2.0, 0.50, 0, mode, &r), 2.619457745678026648936900687, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (3*M_PI/2.0, 0.01, 0, mode, &r), 2.356282853008460679839818125, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (5*M_PI/3, 0.99, 0, mode, &r), 9.056675278128222811594967044, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (5*M_PI/3, 0.50, 0, mode, &r), 3.164629867941048678685303509, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (5*M_PI/3, 0.01, 0, mode, &r), 2.834610589240099935765900794, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (2*M_PI, 0.99, 0, mode, &r), 9.501580305407155902661292832, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (2*M_PI, 0.50, 0, mode, &r), 3.492610327570702198582534249, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (2*M_PI, 0.01, 0, mode, &r), 3.141710470677947573119757500, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (7*M_PI/3.0, 0.99, 0, mode, &r), 9.946485332686088993727618315, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (7*M_PI/3.0, 0.50, 0, mode, &r), 3.820590787200355718479764901, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (7*M_PI/3.0, 0.01, 0, mode, &r), 3.448810352115795210473614120, TEST_TOL0, GSL_SUCCESS);

  /* P, negative argument phi < 0  */

  TEST_SF(s,  gsl_sf_ellint_D_e, (-M_PI/2.0, 0.99, 0, mode, &r), -2.375395076351788975665323192, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-M_PI/2.0, 0.50, 0, mode, &r), -0.8731525818926755496456335628, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-M_PI/2.0, 0.01, 0, mode, &r), -0.7854276176694868932799393751, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-2*M_PI/3.0, 0.99, 0, mode, &r), -4.305885125424644860264320635, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-2*M_PI/3.0, 0.50, 0, mode, &r), -1.418324704155697579394036402, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-2*M_PI/3.0, 0.01, 0, mode, &r), -1.263755353901126149206022061, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-M_PI, 0.99, 0, mode, &r), -4.750790152703577951330646444, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-M_PI, 0.50, 0, mode, &r), -1.746305163785351099291267125, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-M_PI, 0.01, 0, mode, &r), -1.570855235338973786559878750, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-4*M_PI/3, 0.99, 0, mode, &r), -5.195695179982511042396972113, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-4*M_PI/3, 0.50, 0, mode, &r), -2.074285623415004619188497818, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-4*M_PI/3, 0.01, 0, mode, &r), -1.877955116776821423913735408, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-3*M_PI/2.0, 0.99, 0, mode, &r), -7.126185229055366926995969476, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-3*M_PI/2.0, 0.50, 0, mode, &r), -2.619457745678026648936900687, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-3*M_PI/2.0, 0.01, 0, mode, &r), -2.356282853008460679839818125, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-5*M_PI/3, 0.99, 0, mode, &r), -9.056675278128222811594967044, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-5*M_PI/3, 0.50, 0, mode, &r), -3.164629867941048678685303509, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-5*M_PI/3, 0.01, 0, mode, &r), -2.834610589240099935765900794, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-2*M_PI, 0.99, 0, mode, &r), -9.501580305407155902661292832, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-2*M_PI, 0.50, 0, mode, &r), -3.492610327570702198582534249, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-2*M_PI, 0.01, 0, mode, &r), -3.141710470677947573119757500, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_ellint_D_e, (-7*M_PI/3.0, 0.99, 0, mode, &r), -9.946485332686088993727618315, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-7*M_PI/3.0, 0.50, 0, mode, &r), -3.820590787200355718479764901, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_ellint_D_e, (-7*M_PI/3.0, 0.01, 0, mode, &r), -3.448810352115795210473614120, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_erf(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_erfc_e, (-10.0, &r), 2.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (-5.0000002, &r), 1.9999999999984625433, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (-5.0, &r), 1.9999999999984625402, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (-1.0, &r), 1.8427007929497148693, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (-0.5, &r), 1.5204998778130465377, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (1.0, &r), 0.15729920705028513066, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (3.0, &r), 0.000022090496998585441373, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (7.0, &r), 4.183825607779414399e-23, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erfc_e, (10.0, &r), 2.0884875837625447570e-45, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_log_erfc_e, (-1.0, &r), log(1.842700792949714869), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (-0.1, &r), 0.106576400586522485015, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (-1e-10, &r),  1.1283791670318505967e-10, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (0.0, &r), log(1.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (1e-10, &r), -1.128379167159174551e-10, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (0.001, &r), -0.0011290158896213548027, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (0.1, &r), -0.119304973737395598329, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (1.0, &r), log(0.15729920705028513066), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_erfc_e, (10.0, &r), log(2.0884875837625447570e-45), TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_erf_e, (-10.0, &r), -1.0000000000000000000, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erf_e, (0.5, &r), 0.5204998778130465377, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erf_e, (1.0, &r), 0.8427007929497148693, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erf_e, (10.0, &r), 1.0000000000000000000, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_erf_Z_e, (1.0, &r),  0.24197072451914334980,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_erf_Q_e, (10.0, &r), 7.619853024160526066e-24, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_hazard_e, (-20.0, &r), 5.5209483621597631896e-88, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (-10.0, &r), 7.6945986267064193463e-23, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (-1.0, &r), 0.28759997093917836123, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, ( 0.0, &r), 0.79788456080286535588, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, ( 1.0, &r), 1.5251352761609812091, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (10.0, &r), 10.098093233962511963, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (20.0, &r), 20.049753068527850542, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (30.0, &r), 30.033259667433677037, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (50.0, &r), 50.019984031905639809, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (80.0, &r), 80.012496096798234468, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (150.0, &r), 150.00666607420571802, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (300.0, &r), 300.00333325926337415, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (900.0, &r), 900.00111110836764382, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (1001.0, &r), 1001.0009989990049990, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hazard_e, (2000.0, &r), 2000.0004999997500003, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_exp(void)
{
  gsl_sf_result r;
  gsl_sf_result_e10 re;
  double x;
  int sa;
  int s = 0;

  TEST_SF(s,  gsl_sf_exp_e, (-10.0, &r), exp(-10.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exp_e, ( 10.0, &r), exp( 10.0), TEST_TOL0, GSL_SUCCESS);

  sa = 0;
  sa += gsl_sf_exp_e10_e(1.0, &re);
  sa += ( test_sf_frac_diff(re.val, M_E ) > TEST_TOL0 );
  sa += ( re.err > TEST_TOL1 );
  sa += ( re.e10 != 0 );
  gsl_test(sa, "  gsl_sf_exp_e10_e(1.0, &re)");

  sa = 0;
  sa += gsl_sf_exp_e10_e(2000.0, &re);
  sa += ( test_sf_frac_diff(re.val, 3.88118019428363725 ) > TEST_TOL3 );
  sa += ( re.err > TEST_TOL5 );
  sa += ( re.e10 != 868 );
  gsl_test(sa, "  gsl_sf_exp_e10_e(2000.0, &re)");


  TEST_SF(s, gsl_sf_exp_err_e, (-10.0, TEST_TOL1, &r), exp(-10.0), TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_err_e, ( 10.0, TEST_TOL1, &r), exp( 10.0), TEST_TOL1, GSL_SUCCESS);

  sa = 0;
  sa += gsl_sf_exp_err_e10_e(1.0, TEST_SQRT_TOL0, &re);
  sa += ( test_sf_frac_diff(re.val, M_E ) > TEST_TOL1 );
  sa += ( re.err > 32.0 * TEST_SQRT_TOL0 );
  sa += ( re.e10 != 0 );
  gsl_test(sa, "  gsl_sf_exp_err_e10_e(1.0, TEST_SQRT_TOL0, &re)");

  sa = 0;
  sa += gsl_sf_exp_err_e10_e(2000.0, 1.0e-10, &re);
  sa += ( test_sf_frac_diff(re.val, 3.88118019428363725 ) > TEST_TOL3 );
  sa += ( re.err > 1.0e-07 );
  sa += ( re.e10 != 868 );
  gsl_test(sa, "  gsl_sf_exp_err_e10_e(2000.0, 1.0e-10, &re)");


  x = 0.8*GSL_LOG_DBL_MAX;
  TEST_SF(s, gsl_sf_exp_mult_e, (-10.0,  1.0e-06, &r), 1.0e-06*exp(-10.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (-10.0,  2.0, &r),     2.0*exp(-10.0),     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (-10.0, -2.0, &r),    -2.0*exp(-10.0),     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, ( 10.0,  1.0e-06, &r), 1.0e-06*exp( 10.0), TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, ( 10.0, -2.0, &r),    -2.0*exp( 10.0),     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (x, 1.00001, &r),      1.00001*exp(x),     TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (x, 1.000001, &r),     1.000001*exp(x),    TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (x, 1.000000001, &r),  1.000000001*exp(x), TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (x, 100.0, &r),        100.0*exp(x),       TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (x, 1.0e+20, &r),      1.0e+20*exp(x),     TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_e, (x, exp(-x)*exp(M_LN2), &r),  2.0, TEST_TOL4, GSL_SUCCESS );

  TEST_SF(s, gsl_sf_exp_mult_err_e, (-10.0, TEST_SQRT_TOL0, 2.0, TEST_SQRT_TOL0, &r), 2.0*exp(-10.0), TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_exp_mult_err_e, (x, TEST_SQRT_TOL0*x, exp(-x)*exp(M_LN2), TEST_SQRT_TOL0*x, &r),  2.0, TEST_SQRT_TOL0, GSL_SUCCESS );

  sa = 0;
  sa += gsl_sf_exp_mult_e10_e(1.0, 1.0, &re);
  sa += ( test_sf_frac_diff(re.val, M_E ) > TEST_TOL0 );
  sa += ( re.err > TEST_TOL2 );
  sa += ( re.e10 != 0 );
  gsl_test(sa, "gsl_sf_exp_mult_e10_e(1.0, 1.0, &re)");

  sa = 0;
  sa += gsl_sf_exp_mult_e10_e(1000.0, 1.0e+200, &re);
  sa += ( test_sf_frac_diff(re.val, 1.9700711140165661 ) > TEST_TOL3 );
  sa += ( re.err > 1.0e-12 );
  sa += ( re.e10 != 634 );
  gsl_test(sa, "gsl_sf_exp_mult_e10_e(1000.0, 1.0e+200, &re)");

  sa = 0;
  sa += gsl_sf_exp_mult_err_e10_e(1.0, TEST_TOL0, 1.0, TEST_TOL0, &re);
  sa += ( test_sf_frac_diff(re.val, M_E ) > TEST_TOL0 );
  sa += ( re.err > TEST_TOL2 );
  sa += ( re.e10 != 0 );
  gsl_test(sa, "gsl_sf_exp_mult_e10_e(1.0, TEST_TOL0, 1.0, TEST_TOL0, &re)");

  sa = 0;
  sa += gsl_sf_exp_mult_err_e10_e(1000.0, 1.0e-12, 1.0e+200, 1.0e+190, &re);
  sa += ( test_sf_frac_diff(re.val, 1.9700711140165661 ) > TEST_TOL3 );
  sa += ( re.err > 1.0e-09 );
  sa += ( re.e10 != 634 );
  gsl_test(sa, "gsl_sf_exp_mult_err_e10_e(1.0e-12, 1.0e+200, &re)");

  TEST_SF(s,  gsl_sf_expm1_e, (-10.0, &r), exp(-10.0)-1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expm1_e, (-0.001, &r), -0.00099950016662500845, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expm1_e, (-1.0e-8, &r), -1.0e-08 + 0.5e-16, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expm1_e, ( 1.0e-8, &r), 1.0e-08 + 0.5e-16, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expm1_e, ( 0.001, &r), 0.0010005001667083417, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expm1_e, ( 10.0, &r), exp(10.0)-1.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_exprel_e, (-10.0, &r), 0.0999954600070237515, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_e, (-0.001, &r), 0.9995001666250084, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_e, (-1.0e-8, &r), 1.0 - 0.5e-08, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_e, ( 1.0e-8, &r), 1.0 + 0.5e-08, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_e, ( 0.001, &r), 1.0005001667083417, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_e, ( 10.0, &r), 2202.5465794806716517, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_exprel_2_e, (-10.0, &r), 0.18000090799859524970, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_2_e, (-0.001, &r), 0.9996667499833361107, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_2_e, (-1.0e-8, &r), 0.9999999966666666750, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_2_e, ( 1.0e-8, &r), 1.0000000033333333417, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_2_e, ( 0.001, &r), 1.0003334166833361115, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_2_e, ( 10.0, &r), 440.3093158961343303, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_exprel_n_e, (3, -1000.0, &r), 0.00299400600000000000, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3, -100.0, &r), 0.02940600000000000000, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3, -10.0, &r), 0.24599972760042142509, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3, -3.0, &r), 0.5444917625849191238, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3, -0.001, &r), 0.9997500499916678570, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3, -1.0e-8, &r), 0.9999999975000000050, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3,  1.0e-8, &r), 1.0000000025000000050, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3,  0.001, &r), 1.0002500500083345240, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3,  3.0, &r), 2.5745637607083706091, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3,  3.1, &r), 2.6772417068460206247, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3,  10.0, &r), 131.79279476884029910, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (3,  100.0, &r), 1.6128702850896812690e+38, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_exprel_n_e, (50, -1000.0, &r), 0.04766231609253975959, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50, -100.0, &r), 0.3348247572345889317, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50, -10.0, &r), 0.8356287051853286482, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50, -3.0, &r), 0.9443881609152163615, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50, -1.0, &r), 0.980762245565660617, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50, -1.0e-8, &r), 1.0 -1.0e-8/51.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  1.0e-8, &r), 1.0 +1.0e-8/51.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  1.0, &r), 1.01999216583666790, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  3.0, &r), 1.0624205757460368307, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  48.0, &r), 7.499573876877194416, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  50.1, &r), 9.311803306230992272, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  100.0, &r), 8.175664432485807634e+07, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (50,  500.0, &r), 4.806352370663185330e+146, TEST_TOL3, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_exprel_n_e, (500, -1000.0, &r), 0.3334815803127619256, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500, -100.0, &r), 0.8335646217536183909, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500, -10.0, &r), 0.9804297803131823066, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500, -3.0, &r), 0.9940475488850672997, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500, -1.0, &r), 0.9980079602383488808, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500, -1.0e-8, &r), 1.0 -1.0e-8/501.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  1.0e-8, &r), 1.0 +1.0e-8/501.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  1.0, &r), 1.0019999920160634252, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  3.0, &r), 1.0060240236632444934, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  48.0, &r), 1.1059355517981272174, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  100.0, &r), 1.2492221464878287204, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  500.0, &r), 28.363019877927630858, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  1000.0, &r), 2.4037563160335300322e+68, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_exprel_n_e, (500,  1600.0, &r), 7.899293535320607403e+226, TEST_TOL4, GSL_SUCCESS);

  return s;
}


int test_expint(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s,  gsl_sf_expint_E1_e, (-1.0, &r), -1.8951178163559367555, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (1.0e-10, &r), 22.448635265138923980, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (1.0e-05, &r), 10.935719800043695615, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (0.1, &r), 1.82292395841939066610, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (1.0, &r), 0.21938393439552027368, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (10.0, &r), 4.156968929685324277e-06, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (50.0, &r), 3.783264029550459019e-24, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_e, (300.0, &r), 1.710384276804510115e-133, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_expint_E2_e, (-1.0, &r), 0.8231640121031084799, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (0.0, &r), 1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (1.0/4294967296.0, &r), 0.9999999947372139168, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (1.0/65536.0, &r), 0.9998243233207178845, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (0.1, &r), 0.7225450221940205066, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (1.0, &r), 0.14849550677592204792, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (10.0, &r), 3.830240465631608762e-06, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (50.0, &r), 3.711783318868827367e-24, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_e, (300.0, &r), 1.7047391998483433998e-133, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_expint_Ei_e, (-1.0, &r), -0.21938393439552027368, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_Ei_e, (1.0/4294967296.0, &r), -21.603494112783886397, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_Ei_e, (1.0, &r), 1.8951178163559367555, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (-10000.0, &r), -0.00010001000200060024012, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (-1000.0, &r), -0.0010010020060241207251, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (-10.0, &r), -0.11314702047341077803, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (-1.0, &r), -0.69717488323506606877, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (1.0e-10, &r), 22.448635267383787506, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (1.0e-05, &r), 10.935829157788483865, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (0.1, &r), 2.0146425447084516791, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (1.0, &r), 0.59634736232319407434, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (10.0, &r), 0.091563333939788081876, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (50.0, &r), 0.019615109930114870365, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (300.0, &r), 0.0033222955652707070644, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (1000.0, &r), 0.00099900199402388071500, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E1_scaled_e, (10000.0, &r), 0.000099990001999400239880, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (-10000.0, &r), -0.00010002000600240120072, TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (-1000.0, &r), -0.0010020060241207250807, TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (-10.0, &r), -0.13147020473410778034, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (-1.0, &r), 0.30282511676493393123, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (0.0, &r), 1.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (1.0/4294967296.0, &r), 0.99999999497004455927, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (1.0/65536.0, &r), 0.99983957954556245453, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (0.1, &r), 0.79853574552915483209, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (1.0, &r), 0.40365263767680592566, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (10.0, &r), 0.084366660602119181239, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (50.0, &r), 0.019244503494256481735, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (300.0, &r), 0.0033113304187878806691, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (1000.0, &r), 0.00099800597611928500004, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_E2_scaled_e, (10000.0, &r), 0.000099980005997601199281, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_expint_Ei_scaled_e, (-1000.0, &r), -0.00099900199402388071500, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_Ei_scaled_e, (-1.0, &r), -0.59634736232319407434, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_Ei_scaled_e, (1.0/4294967296.0, &r), -21.603494107753930958, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_Ei_scaled_e, (1.0, &r), 0.69717488323506606877, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_Ei_scaled_e, (1000.0, &r), 0.0010010020060241207251, TEST_TOL0, GSL_SUCCESS);


  TEST_SF(s,  gsl_sf_Shi_e, (-1.0, &r), -1.0572508753757285146, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (1.0/4294967296.0, &r), 2.3283064365386962891e-10, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (1.0/65536.0, &r), 0.00001525878906269737298, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (0.1, &r), 0.1000555722250569955, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (1.0, &r), 1.0572508753757285146, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (10.0, &r), 1246.1144901994233444, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (50.0, &r), 5.292818448565845482e+19, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Shi_e, (300.0, &r), 3.248241254044332895e+127, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_Chi_e, (-1.0, &r), 0.8378669409802082409, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (1.0/4294967296.0, &r), -21.603494113016717041, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (1.0/65536.0, &r), -10.513139223999384429, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (1.0/8.0, &r), -1.4983170827635760646, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (1.0, &r), 0.8378669409802082409, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (10.0, &r), 1246.1144860424544147, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (50.0, &r), 5.292818448565845482e+19, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Chi_e, (300.0, &r), 3.248241254044332895e+127, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_expint_3_e, (1.0e-10, &r), 1.0e-10, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (1.0e-05, &r), 9.9999999999999975e-06, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (0.1, &r), 0.09997500714119079665122, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (0.5, &r), 0.48491714311363971332427, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (1.0, &r), 0.80751118213967145285833, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (2.0, &r), 0.89295351429387631138208, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (5.0, &r), 0.89297951156924921121856, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (10.0, &r), 0.89297951156924921121856, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_expint_3_e, (100.0, &r), 0.89297951156924921121856, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_Si_e, (-1.0, &r), -0.9460830703671830149, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (1.0e-10, &r), 1.0e-10, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (1.0e-05, &r), 9.999999999944444444e-06, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (0.1, &r), 0.09994446110827695016, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (1.0, &r), 0.9460830703671830149, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (10.0, &r), 1.6583475942188740493, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (50.0, &r), 1.5516170724859358947, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Si_e, (300.0, &r), 1.5708810882137495193, TEST_TOL0, GSL_SUCCESS);
  /*
  TEST_SF(s,  gsl_sf_Si_e, (1.0e+20, &r), 1.5707963267948966192, TEST_TOL0, GSL_SUCCESS);
  */

  TEST_SF(s,  gsl_sf_Ci_e, (1.0/4294967296.0, &r), -21.603494113016717041, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (1.0/65536.0, &r), -10.513139224115799751, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (1.0/8.0, &r), -1.5061295845296396649, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (1.0, &r), 0.3374039229009681347, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (10.0, &r), -0.04545643300445537263, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (50.0, &r), -0.005628386324116305440, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (300.0, &r), -0.003332199918592111780, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (65536.0, &r), 0.000010560248837656279453, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (4294967296.0, &r), -1.0756463261957757485e-10, TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_Ci_e, (1099511627776.0, &r), -3.689865584710764214e-13, 1024.0*TEST_SQRT_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_atanint_e, (1.0e-10, &r), 1.0e-10, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (1.0e-05, &r), 9.99999999988888888889e-06, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (0.1, &r), 0.09988928686033618404, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (1.0, &r), 0.91596559417721901505, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (2.0, &r), 1.57601540344632342236, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (10.0, &r), 3.71678149306806859029, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (50.0, &r), 6.16499047850274874222, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (300.0, &r), 8.96281388924518959990, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_atanint_e, (1.0e+5, &r), 18.084471031038661920, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_fermidirac(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_fermi_dirac_m1_e, (-10.0, &r), 0.00004539786870243439450, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_m1_e, ( -1.0, &r), 0.26894142136999512075, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_m1_e, (  1.0, &r), 0.7310585786300048793, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_m1_e, ( 10.0, &r), 0.9999546021312975656, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_0_e, (-10.0, &r), 0.00004539889921686464677, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_0_e, ( -1.0, &r), 0.31326168751822283405, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_0_e, (  1.0, &r), 1.3132616875182228340, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_0_e, ( 10.0, &r), 10.000045398899216865, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_1_e, (-10.0, &r), 0.00004539941448447633524, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( -2.0, &r), 0.13101248471442377127, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( -1.0, &r), 0.3386479964034521798, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( -0.4, &r), 0.5825520806897909028, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, (  0.4, &r), 1.1423819861584355337, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, (  1.0, &r), 1.8062860704447742567, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, (  1.5, &r), 2.5581520872227806402, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, (  2.5, &r), 4.689474797599761667, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( 10.0, &r), 51.64488866743374196, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( 12.0, &r), 73.64492792264531092, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( 20.0, &r), 201.64493406478707282, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_1_e, ( 50.0, &r), 1251.6449340668482264, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_2_e, (-10.0, &r), 0.00004539967212174776662, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( -2.0, &r), 0.13313272938565030508, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( -1.0, &r), 0.3525648792978077590, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( -0.4, &r), 0.6229402647001272120, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, (  0.4, &r), 1.2915805581060844533, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, (  1.0, &r), 2.1641656128127008622, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, (  1.5, &r), 3.247184513920792475, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, (  2.5, &r), 6.797764392735056317, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( 10.0, &r), 183.11605273482105278, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( 12.0, &r), 307.73921494638635166, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( 20.0, &r), 1366.2320146723590157, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, ( 50.0, &r), 20915.580036675744655, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_2_e, (200.0, &r), 1.3336623201467029786e+06, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, (-10.0, &r), 0.00004539847236080549532, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( -2.0, &r), 0.12366562180120994266, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( -1.0, &r), 0.29402761761145122022, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( -0.4, &r), 0.4631755336886027800, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, (  0.4, &r), 0.7654084737661656915, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, (  1.0, &r), 1.0270571254743506890, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, (  1.5, &r), 1.2493233478527122008, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, (  2.5, &r), 1.6663128834358313625, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( 10.0, &r), 3.552779239536617160, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( 12.0, &r), 3.897268231925439359, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( 20.0, &r), 5.041018507535328603, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_mhalf_e, ( 50.0, &r), 7.977530858581869960, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_half_e, (-10.0, &r), 0.00004539920105264132755, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( -2.0, &r), 0.12929851332007559106, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( -1.0, &r), 0.3277951592607115477, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( -0.4, &r), 0.5522452153690688947, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, (  0.4, &r), 1.0386797503389389277, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, (  1.0, &r), 1.5756407761513002308, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, (  1.5, &r), 2.1448608775831140360, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, (  2.5, &r), 3.606975377950373251, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( 10.0, &r), 24.084656964637653615, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( 12.0, &r), 31.540203287044242593, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( 20.0, &r), 67.49151222165892049, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_half_e, ( 50.0, &r), 266.09281252136259343, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, (-10.0, &r), 0.00004539956540456176333, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( -2.0, &r), 0.13224678225177236685, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( -1.0, &r), 0.3466747947990574170, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( -0.4, &r), 0.6056120213305040910, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, (  0.4, &r), 1.2258236403963668282, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, (  1.0, &r), 2.0022581487784644573, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, (  1.5, &r), 2.9277494127932173068, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, (  2.5, &r), 5.768879312210516582, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( 10.0, &r), 101.00510084332600020, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( 12.0, &r), 156.51518642795728036, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( 20.0, &r), 546.5630100657601959, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_3half_e, ( 50.0, &r), 5332.353566687145552, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3,  -2.0, &r), 0.1342199155038680215, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3,   0.0, &r), 0.9470328294972459176, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3,   0.1, &r), 1.0414170610956165759, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3,   1.0, &r), 2.3982260822489407070, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3,   3.0, &r), 12.621635313399690724, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3, 100.0, &r), 4.174893231066566793e+06, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (3, 500.0, &r), 2.604372285319088354e+09, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5,  -2.0, &r), 0.13505242246823676478, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5,   0.0, &r), 0.9855510912974351041, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5,   0.1, &r), 1.0876519750101492782, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5,   1.0, &r), 2.6222337848692390539, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5,   3.0, &r), 17.008801618012113022, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5, 100.0, &r), 1.3957522531334869874e+09, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (5, 500.0, &r), 2.1705672808114817955e+13, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,  -2.0, &r), 0.1352641105671255851, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,   0.0, &r), 0.9962330018526478992, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,   0.1, &r), 1.1005861815180315485, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,   1.0, &r), 2.6918878172003129203, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,   3.0, &r), 19.033338976999367642, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,  10.0, &r), 5654.530932873610014, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7,  50.0, &r), 1.005005069985066278e+09, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (7, 500.0, &r), 9.691690268341569514e+16, TEST_TOL3, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,  -2.0, &r), 0.1353174385330242691, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,   0.0, &r), 0.9990395075982715656, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,   0.1, &r), 1.1039997234712941212, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,   1.0, &r), 2.7113648898129249947, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,   3.0, &r), 19.768544008138602223, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,  10.0, &r), 10388.990167312912478, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9,  50.0, &r), 2.85466960802601649e+10, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (9, 500.0, &r), 2.69273849842695876e+20, 2*TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,  -2.0, &r), 0.13532635396712288092, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,   0.0, &r), 0.9995171434980607541, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,   0.1, &r), 1.1045818238852612296, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,   1.0, &r), 2.7147765350346120647, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,   3.0, &r), 19.917151938411675171, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,  10.0, &r), 12790.918595516495955, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10,  50.0, &r), 1.3147703201869657654e+11, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (10, 500.0, &r), 1.2241331244469204398e+22, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,  -2.0, &r), 0.1353308162894847149, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,   0.0, &r), 0.9997576851438581909, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,   0.1, &r), 1.1048751811565850418, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,   1.0, &r), 2.7165128749007313436, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,   3.0, &r), 19.997483022044603065, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,  10.0, &r), 14987.996005901818036, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11,  50.0, &r), 5.558322924078990628e+11, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (11, 500.0, &r), 5.101293089606198280e+23, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,  -2.0, &r), 0.13533527450327238373, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,   0.0, &r), 0.9999995232582155428, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,   0.1, &r), 1.1051703357941368203, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,   1.0, &r), 2.7182783069905721654, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,   3.0, &r), 20.085345296028242734, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,  10.0, &r), 21898.072920149606475, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20,  50.0, &r), 1.236873256595717618e+16, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_fermi_dirac_int_e, (20, 500.0, &r), 9.358938204369557277e+36, TEST_TOL2, GSL_SUCCESS);


  return s;
}


int test_gegen(void)
{
  gsl_sf_result r;
  double ga[100];
  int s = 0;
  int sa;

  TEST_SF(s,  gsl_sf_gegenpoly_1_e, (-0.2,   1.0, &r), -0.4, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_1_e, ( 0.0,   1.0, &r), 2.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_1_e, ( 1.0,   1.0, &r), 2.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_1_e, ( 1.0,   0.5, &r), 1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_1_e, ( 5.0,   1.0, &r), 10.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_1_e, ( 100.0, 0.5, &r), 100.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_gegenpoly_2_e, (-0.2,   0.5, &r), 0.12, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_2_e, ( 0.0,   1.0, &r), 1.00, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_2_e, ( 1.0,   1.0, &r), 3.00, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_2_e, ( 1.0,   0.1, &r), -0.96, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_2_e, ( 5.0,   1.0, &r), 55.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_2_e, ( 100.0, 0.5, &r), 4950.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_gegenpoly_3_e, (-0.2,   0.5, &r), 0.112, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_3_e, ( 0.0,   1.0, &r), -2.0/3.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_3_e, ( 1.0,   1.0, &r), 4.000, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_3_e, ( 1.0,   0.1, &r), -0.392, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_3_e, ( 5.0,   1.0, &r), 220.000, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_3_e, ( 100.0, 0.5, &r), 161600.000, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (1,       1.0, 1.0, &r), 2.000              , TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (10,      1.0, 1.0, &r), 11.000             , TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (10,      1.0, 0.1, &r), -0.4542309376      , TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (10,      5.0, 1.0, &r), 9.23780e+4         , TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (10,    100.0, 0.5, &r), 1.5729338392690000e+13, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (1000,  100.0, 1.0, &r), 3.3353666135627322e+232, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (100,  2000.0, 1.0, &r), 5.8753432034937579e+202, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (103,   207.0, 2.0, &r), 1.4210272202235983e+145, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_gegenpoly_n_e, (103,    -0.4, 0.3, &r), -1.64527498094522e-04, TEST_TOL1, GSL_SUCCESS);

  sa = 0;
  gsl_sf_gegenpoly_array(99, 5.0, 1.0, ga);
  sa += ( test_sf_frac_diff( ga[1],     10.0    ) > TEST_TOL0 );
  sa += ( test_sf_frac_diff( ga[10], 9.23780e+4 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_sf_gegenpoly_array");
  s += sa;

  return s;
}


int test_jac(void)
{
  double u, m;
  double sn, cn, dn;
  int stat_ej;
  int s = 0;
  int sa;

  u = 0.5;
  m = 0.5;
  sa = 0;
  stat_ej = gsl_sf_elljac_e(u, m, &sn, &cn, &dn);
  sa += test_sf_val(sn, 0.4707504736556572833, TEST_TOL0, "gsl_sf_elljac_e(0.5|0.5) sn");
  sa += test_sf_val(cn, 0.8822663948904402865, TEST_TOL0, "gsl_sf_elljac_e(0.5|0.5) cn");
  sa += test_sf_val(dn, 0.9429724257773856873, TEST_TOL0, "gsl_sf_elljac_e(0.5|0.5) dn");
  gsl_test(s, "  gsl_sf_elljac_e(0.5|0.5)");
  s += sa;

  u = 1.0;
  m = 0.3;
  sa = 0;
  stat_ej = gsl_sf_elljac_e(u, m, &sn, &cn, &dn);
  sa += test_sf_val(sn, 0.8187707145344889190, TEST_TOL0, "gsl_sf_elljac_e(1.0|0.3) sn");
  sa += test_sf_val(cn, 0.5741206467465548795, TEST_TOL0, "gsl_sf_elljac_e(1.0|0.3) cn");
  sa += test_sf_val(dn, 0.8938033089590823040, TEST_TOL0, "gsl_sf_elljac_e(1.0|0.3) dn");
  gsl_test(sa, "  gsl_sf_elljac_e(1.0|0.3)");
  s += sa;

  u = 1.0;
  m = 0.6;
  sa = 0;
  stat_ej = gsl_sf_elljac_e(u, m, &sn, &cn, &dn);
  sa += test_sf_val(sn, 0.7949388393365780943, TEST_TOL0, "gsl_sf_elljac_e(1.0|0.6) sn");
  sa += test_sf_val(cn, 0.6066895760718277578, TEST_TOL0, "gsl_sf_elljac_e(1.0|0.6) cn");
  sa += test_sf_val(dn, 0.7879361300438814425, TEST_TOL0, "gsl_sf_elljac_e(1.0|0.6) dn");
  gsl_test(sa, "  gsl_sf_elljac_e(1.0|0.6)");
  s += sa;

  u = 3.0;
  m = 0.6;
  sa = 0;
  stat_ej = gsl_sf_elljac_e(u, m, &sn, &cn, &dn);
  sa += test_sf_val(sn,  0.7432676860864044186, TEST_TOL0, " gsl_sf_elljac_e(3.0|0.6) sn");
  sa += test_sf_val(cn, -0.6689941306317733154, TEST_TOL0, " gsl_sf_elljac_e(3.0|0.6) cn");
  sa += test_sf_val(dn,  0.8176379933025723259, TEST_TOL0, " gsl_sf_elljac_e(3.0|0.6) dn");
  gsl_test(sa, "  gsl_sf_elljac_e(3.0|0.6)");
  s += sa;

  u = 2.0;
  m = 0.999999;
  sa = 0;
  stat_ej = gsl_sf_elljac_e(u, m, &sn, &cn, &dn);
  sa += test_sf_val(sn, 0.96402778575700186570, TEST_TOL1, "gsl_sf_elljac_e(2.0|0.999999) sn");
  sa += test_sf_val(cn, 0.26580148285600686381, TEST_TOL1, "gsl_sf_elljac_e(2.0|0.999999) cn");
  sa += test_sf_val(dn, 0.26580323105264131136, TEST_TOL1, "gsl_sf_elljac_e(2.0|0.999999) dn");
  gsl_test(sa, "  gsl_sf_elljac_e(2.0|0.999999)");
  s += sa;

  /* test supplied by Ivan Panchenko */
  u = 1.69695970624443;
  m = 0.270378013104138;
  sa = 0;
  stat_ej = gsl_sf_elljac_e(u, m, &sn, &cn, &dn);
  sa += test_sf_val(sn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(1.69..|0.27..) sn");
  sa += test_sf_val(cn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(1.69..|0.27..) cn");
  sa += test_sf_val(dn, 0.8541791304497336, TEST_TOL1, "gsl_sf_elljac_e(1.69..|0.27..) dn");
  gsl_test(sa, "  gsl_sf_elljac_e(1.69695970624443|0.270378013104138)");
  s += sa;



  /* Check known values from Abramowitz & Stegun, Table 16.5 */
  u = 0;
  m = 0.1;

  {
    double mc = 1 - m;
    /* quarter period K is (pi/2)/agm(1,mc) */
    double K = (M_PI_2)/ 0.9741726903999478375938128316;

    double A = 1.0 / sqrt(1+sqrt(mc));
    double B = pow(mc, 0.25) / sqrt(1+sqrt(mc));
    double C = pow(mc, 0.25);
    double C2 = sqrt(mc);

    double eps = 1e-10;
    
    sa = 0;
    stat_ej = gsl_sf_elljac_e(0.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 0.0, TEST_TOL0, "gsl_sf_elljac_e(0|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(0|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(0|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(0|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -eps, TEST_TOL0, "gsl_sf_elljac_e(-1e-10|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(-1e-10|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(-1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-1e-10|0.1)");
    s += sa;
    
    sa = 0;
    stat_ej = gsl_sf_elljac_e(eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, eps, TEST_TOL0, "gsl_sf_elljac_e(1e-10|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(1e-10|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(1e-30, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 1e-30, TEST_TOL0, "gsl_sf_elljac_e(1e-30|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(1e-30|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL0, "gsl_sf_elljac_e(1e-30|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(1e-30|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(K / 2.0 - eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A - eps*B*C, TEST_TOL2, "gsl_sf_elljac_e(K/2-1e-10|0.1) sn");
    sa += test_sf_val(cn, B + eps*A*C, TEST_TOL2, "gsl_sf_elljac_e(K/2-1e-10|0.1) cn");
    sa += test_sf_val(dn, C + m*eps*A*B, TEST_TOL2, "gsl_sf_elljac_e(K/2-1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(K/2-1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A, TEST_TOL2, "gsl_sf_elljac_e(K/2|0.1) sn");
    sa += test_sf_val(cn, B, TEST_TOL2, "gsl_sf_elljac_e(K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(K / 2.0 + eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A + eps*B*C, TEST_TOL2, "gsl_sf_elljac_e(K/2+1e-10|0.1) sn");
    sa += test_sf_val(cn, B - eps*A*C, TEST_TOL2, "gsl_sf_elljac_e(K/2+1e-10|0.1) cn");
    sa += test_sf_val(dn, C - m*eps*A*B, TEST_TOL2, "gsl_sf_elljac_e(K/2+1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(K/2+1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(K - eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(K-1e-10|0.1) sn");
    sa += test_sf_val(cn, eps*C2, 10*TEST_SNGL, "gsl_sf_elljac_e(K-1e-10|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(K-1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(K-1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(K|0.1) sn");
    sa += test_sf_val(cn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(K|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(K + eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(K+1e-10|0.1) sn");
    sa += test_sf_val(cn, -eps*C2, 10*TEST_SNGL, "gsl_sf_elljac_e(K+1e-10|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(K+1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(K+1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(3.0*K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A, TEST_TOL2, "gsl_sf_elljac_e(3K/2|0.1) sn");
    sa += test_sf_val(cn, -B, TEST_TOL2, "gsl_sf_elljac_e(3K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(3K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(3K/2|0.1)");
    s += sa;


    sa = 0;
    stat_ej = gsl_sf_elljac_e(2.0*K - eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, eps, 10*TEST_SNGL, "gsl_sf_elljac_e(2K-1e-10|0.1) sn");
    sa += test_sf_val(cn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(2K-1e-10|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(2K-1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(2K-1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(2.0*K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(2K|0.1) sn");
    sa += test_sf_val(cn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(2K|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(2K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(2K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(2.0*K + eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -eps, 10*TEST_SNGL, "gsl_sf_elljac_e(2K+1e-10|0.1) sn");
    sa += test_sf_val(cn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(2K+1e-10|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(2K+1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(2K+1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(5.0*K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -A, TEST_TOL2, "gsl_sf_elljac_e(5K/2|0.1) sn");
    sa += test_sf_val(cn, -B, TEST_TOL2, "gsl_sf_elljac_e(5K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(5K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(5K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(3.0*K - eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(3K-1e-10|0.1) sn");
    sa += test_sf_val(cn, -C2 * eps, 10*TEST_SNGL, "gsl_sf_elljac_e(3K-1e-10|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(3K-1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(3K-1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(3.0*K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(3K|0.1) sn");
    sa += test_sf_val(cn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(3K|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(3K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(3K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(3.0*K + eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(3K+1e-10|0.1) sn");
    sa += test_sf_val(cn, +C2 * eps, 10*TEST_SNGL, "gsl_sf_elljac_e(3K+1e-10|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(3K+1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(3K+1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(7.0*K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -A, TEST_TOL2, "gsl_sf_elljac_e(7K/2|0.1) sn");
    sa += test_sf_val(cn, B, TEST_TOL2, "gsl_sf_elljac_e(7K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(7K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(7K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(4.0*K - eps, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -eps, 10*TEST_SNGL, "gsl_sf_elljac_e(4K-1e-10|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(4K-1e-10|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(4K-1e-10|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(4K-1e-10|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(4.0*K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(4K|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(4K|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(4K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(4K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(9.0 * K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A, TEST_TOL2, "gsl_sf_elljac_e(9K/2|0.1) sn");
    sa += test_sf_val(cn, B, TEST_TOL2, "gsl_sf_elljac_e(9K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(9K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(9K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -A, TEST_TOL2, "gsl_sf_elljac_e(-K/2|0.1) sn");
    sa += test_sf_val(cn, B, TEST_TOL2, "gsl_sf_elljac_e(-K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(-K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-K/2|0.1)");
    s += sa;
    
    sa = 0;
    stat_ej = gsl_sf_elljac_e(-K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(-K|0.1) sn");
    sa += test_sf_val(cn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(-K|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(-K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-3.0*K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, -A, TEST_TOL2, "gsl_sf_elljac_e(-3K/2|0.1) sn");
    sa += test_sf_val(cn, -B, TEST_TOL2, "gsl_sf_elljac_e(-3K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(-3K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-3K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-2.0*K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(-2K|0.1) sn");
    sa += test_sf_val(cn, -1.0, TEST_TOL1, "gsl_sf_elljac_e(-2K|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(-2K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-2K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-5.0*K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A, TEST_TOL2, "gsl_sf_elljac_e(-5K/2|0.1) sn");
    sa += test_sf_val(cn, -B, TEST_TOL2, "gsl_sf_elljac_e(-5K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(-5K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-5K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-3.0*K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(-3K|0.1) sn");
    sa += test_sf_val(cn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(-3K|0.1) cn");
    sa += test_sf_val(dn, C2, TEST_TOL2, "gsl_sf_elljac_e(-3K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-3K|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-7.0*K / 2.0, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, A, TEST_TOL2, "gsl_sf_elljac_e(-7K/2|0.1) sn");
    sa += test_sf_val(cn, B, TEST_TOL2, "gsl_sf_elljac_e(-7K/2|0.1) cn");
    sa += test_sf_val(dn, C, TEST_TOL2, "gsl_sf_elljac_e(-7K/2|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-7K/2|0.1)");
    s += sa;

    sa = 0;
    stat_ej = gsl_sf_elljac_e(-4.0*K, m, &sn, &cn, &dn);
    sa += test_sf_val(sn, 0.0, TEST_TOL1, "gsl_sf_elljac_e(-4K|0.1) sn");
    sa += test_sf_val(cn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(-4K|0.1) cn");
    sa += test_sf_val(dn, 1.0, TEST_TOL1, "gsl_sf_elljac_e(-4K|0.1) dn");
    gsl_test(sa, "  gsl_sf_elljac_e(-4K|0.1)");
    s += sa;
  }
    

  return s;
}


int test_laguerre(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_laguerre_1_e, (0.5, -1.0, &r), 2.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_1_e, (0.5,  1.0, &r), 0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_1_e, (1.0,  1.0, &r), 1.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_laguerre_2_e, ( 0.5, -1.0, &r), 4.875,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_2_e, ( 0.5,  1.0, &r), -0.125, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_2_e, ( 1.0,  1.0, &r),  0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_2_e, (-1.0,  1.0, &r), -0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_2_e, (-2.0,  1.0, &r),  0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_2_e, (-3.0,  1.0, &r),  2.5, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_laguerre_3_e, (0.5, -1.0, &r), 8.479166666666666667,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_3_e, (0.5,  1.0, &r), -0.6041666666666666667,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_3_e, (1.0,  1.0, &r), -0.16666666666666666667, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_3_e, ( 2.0,  1.0, &r), 2.3333333333333333333,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_3_e, (-2.0,  1.0, &r), 1.0/3.0,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_3_e, (-3.0,  1.0, &r), -1.0/6.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_3_e, (-4.0,  1.0, &r), -8.0/3.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_laguerre_n_e, (1, 0.5, 1.0, &r), 0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (2, 1.0, 1.0, &r), 0.5, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (3, 2.0, 1.0, &r), 2.3333333333333333333,   TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (4, 2.0, 0.5, &r), 6.752604166666666667,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (90, 2.0,  0.5, &r), -48.79047157201507897, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (90, 2.0, -100.0, &r), 2.5295879275042410902e+63, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (90, 2.0,  100.0, &r), -2.0929042259546928670e+20, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, 2.0, -0.5, &r), 2.2521795545919391405e+07,  TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, 2.0,  0.5, &r), -28.764832945909097418,     TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1000, 2.0, -0.5, &r), 2.4399915170947549589e+21, TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1000, 2.0,  0.5, &r), -306.77440254315317525,    TEST_TOL2, GSL_SUCCESS); /**/
  TEST_SF(s, gsl_sf_laguerre_n_e, (100000, 2.0, 1.0, &r), 5107.73491348319,         TEST_TOL4, GSL_SUCCESS);

  /* Compute these with the recurrence
   * L(0,alpha,x)=1;
   * L(1,alpha,x)=1+alpha-x;
   * L(n,alpha,x)=((2*n-1+alpha-x)*L(n-1,alpha,x)-(n+alpha-1)*L(n-2,alpha,x))/k
   */

  TEST_SF(s, gsl_sf_laguerre_n_e, (1e5, 2.5, 2.5, &r),   -0.41491680394598644969113795e5, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1e5+1, 2.5, 2.5, &r), -0.41629446949552321027514888e5, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1e6+1, 2.5, 2.5, &r), -0.48017961545391273151977118e6, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (5e6+1, 2.5, 2.5, &r), -0.15174037401611122446089494e7, TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (8e6+1, 2.5, 2.5, &r),  0.63251509472091810994286362e6, TEST_TOL6, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1e7+1, 2.5, 2.5, &r),  0.15299484685632983178033887e7, TEST_TOL6, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1e8+1, 2.5, 2.5, &r),  0.23645341644922756725290777e8, TEST_SNGL, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (1e9+1, 2.5, 2.5, &r), -0.17731002248958790286185878e8, 100*TEST_SNGL, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_laguerre_n_e, (1, -2.0, 1.0, &r),  -2.0,     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (2, -2.0, 1.0, &r),   0.5,     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (3, -2.0, 1.0, &r),   1.0/3.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (10, -2.0, 1.0, &r), -0.04654954805996472663,   TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (10, -5.0, 1.0, &r), -0.0031385030864197530864, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (10, -9.0, 1.0, &r), -2.480158730158730159e-06, TEST_TOL5, GSL_SUCCESS);  
  TEST_SF(s, gsl_sf_laguerre_n_e, (10, -11.0,  1.0, &r), 2.7182818011463844797,    TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (10, -11.0, -1.0, &r), 0.3678794642857142857,    TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -2.0,  1.0, &r),  -0.0027339992019526273866,  TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -2.0, -1.0, &r),   229923.09193402028290,     TEST_TOL5, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -10.0,  1.0, &r),  3.25966665871244092e-11,   TEST_TOL6, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -10.0, -1.0, &r),  0.00016484365618205810025, TEST_TOL6, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -20.0, 1.0, &r),  5.09567630343671251e-21,  TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -30.0, 1.0, &r),  3.46063150272466192e-34,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -50.0,  1.0, &r),  1.20981872933162889e-65,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -50.0, -1.0, &r),  8.60763477742332922e-65,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -50.5,  1.0, &r),  4.84021010426688393e-31,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -50.5, -1.0, &r),  8.49861345212160618e-33,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -101.0,  1.0, &r), 2.7182818284590452354,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -101.0, -1.0, &r), 0.3678794411714423216,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -102.0,  1.0, &r), 271.8281828459045235,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -102.0, -1.0, &r), 37.52370299948711680,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -110.0,  1.0, &r), 1.0666955248998831554e+13, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -110.0, -1.0, &r), 1.7028306108058225871e+12, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -200.0,  1.0, &r), 7.47851889721356628e+58,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -200.0, -1.0, &r), 2.73740299754732273e+58,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -50.0,  10.0, &r), 4.504712811317745591e-21,  TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_laguerre_n_e, (100, -50.0, -10.0, &r), 1.475165520610679937e-11,  TEST_TOL1, GSL_SUCCESS);


  return s;
}


int test_lambert(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_lambert_W0_e, (0.0, &r),  0.0,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (1.0, &r),  0.567143290409783872999969,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (2.0, &r),  0.852605502013725491346472,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (20.0, &r), 2.205003278024059970493066,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (1000.0, &r), 5.24960285240159622712606,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (1.0e+6, &r), 11.38335808614005262200016,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (1.0e+12, &r), 24.43500440493491313826305,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (1.0e+308, &r), 702.641362034106812081125,  TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_lambert_W0_e, (-1.0/M_E - GSL_DBL_EPSILON, &r), -1.0,  TEST_TOL0, GSL_EDOM);
  TEST_SF(s, gsl_sf_lambert_W0_e, (-1.0/M_E + 1.0/(1024.0*1024.0*1024.0), &r), -0.999928845560308370714970, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (-1.0/M_E + 1.0/(1024.0*1024.0), &r), -0.997724730359774141620354, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (-1.0/M_E + 1.0/512.0, &r), -0.900335676696088773044678, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_W0_e, (-1.0/M_E + 0.25, &r), -0.1349044682661213545487599, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_lambert_Wm1_e, (0.0, &r),  0.0,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (1.0, &r),  0.567143290409783872999969,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (2.0, &r),  0.852605502013725491346472,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (20.0, &r), 2.205003278024059970493066,  TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_lambert_Wm1_e, (-1.0/M_E - GSL_DBL_EPSILON, &r), -1.0,  TEST_TOL0, GSL_EDOM);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (-1.0/M_E + 1.0/(1024.0*1024.0*1024.0), &r), -1.000071157815154608049055, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (-1.0/M_E + 1.0/(1024.0*1024.0), &r), -1.002278726118593023934693, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (-1.0/M_E + 1.0/512.0, &r), -1.106761200865743124599130, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (-1.0/M_E + 1.0/64.0, &r), -1.324240940341812125489772, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_lambert_Wm1_e, (-1.0/M_E + 0.25, &r), -3.345798131120112, TEST_TOL1, GSL_SUCCESS);

  return s;
}


int test_log(void)
{
  gsl_sf_result r;
  gsl_sf_result r1, r2;
  int s = 0;

  TEST_SF(s, gsl_sf_log_e, (0.1, &r), -2.3025850929940456840,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_e, (1.1, &r), 0.09531017980432486004,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_e, (1000.0, &r), 6.907755278982137052, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_log_abs_e, (-0.1, &r), -2.3025850929940456840,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_abs_e, (-1.1, &r), 0.09531017980432486004,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_abs_e, (-1000.0, &r), 6.907755278982137052, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_abs_e, (0.1, &r), -2.3025850929940456840,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_abs_e, (1.1, &r), 0.09531017980432486004,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_log_abs_e, (1000.0, &r), 6.907755278982137052, TEST_TOL0, GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_log_e, (1.0, 1.0, &r1, &r2),
            0.3465735902799726547, TEST_TOL0,
            0.7853981633974483096, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_log_e, (1.0, -1.0, &r1, &r2),
             0.3465735902799726547, TEST_TOL0,
            -0.7853981633974483096, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_log_e, (1.0, 100.0, &r1, &r2),
            4.605220183488258022, TEST_TOL0,
            1.560796660108231381, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_log_e, (-1000.0, -1.0, &r1, &r2),
             6.907755778981887052, TEST_TOL0,
            -3.1405926539231263718, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_log_e, (-1.0, 0.0, &r1, &r2),
             0.0, TEST_TOL0,
             3.1415926535897932385, TEST_TOL0,
             GSL_SUCCESS);


  TEST_SF(s,  gsl_sf_log_1plusx_e, (1.0e-10, &r), 9.999999999500000000e-11, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_e, (1.0e-8, &r), 9.999999950000000333e-09, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_e, (1.0e-4, &r), 0.00009999500033330833533, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_e, (0.1, &r), 0.09531017980432486004, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_e, (0.49, &r), 0.3987761199573677730, TEST_TOL0, GSL_SUCCESS);
  
  TEST_SF(s,  gsl_sf_log_1plusx_e, (-0.49, &r), -0.6733445532637655964, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_e, (1.0, &r), M_LN2, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_e, (-0.99, &r), -4.605170185988091368, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (1.0e-10, &r), -4.999999999666666667e-21, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (1.0e-8, &r), -4.999999966666666917e-17, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (1.0e-4, &r), -4.999666691664666833e-09, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (0.1, &r), -0.004689820195675139956, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (0.49, &r), -0.09122388004263222704, TEST_TOL0, GSL_SUCCESS);
  
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (-0.49, &r), -0.18334455326376559639, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (1.0, &r), M_LN2-1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_log_1plusx_mx_e, (-0.99, &r), -3.615170185988091368, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_pow_int(void)
{
  gsl_sf_result r;
  int status = 0;
  int s = 0;
  
  TEST_SF(s,  gsl_sf_pow_int_e, (2.0, 3, &r), 8.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-2.0, 3, &r), -8.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (2.0, -3, &r), 1.0/8.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-2.0, -3, &r), -1.0/8.0, TEST_TOL0, GSL_SUCCESS);


  TEST_SF(s,  gsl_sf_pow_int_e, (10.0, 4, &r), 1.0e+4, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (10.0, -4, &r), 1.0e-4, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-10.0, 4, &r), 1.0e+4, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-10.0, -4, &r), 1.0e-4, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_pow_int_e, (10.0, 40, &r), 1.0e+40, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (8.0, -40, &r), 7.523163845262640051e-37, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-10.0, 40, &r), 1.0e+40, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-8.0, -40, &r), 7.523163845262640051e-37, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_pow_int_e, (10.0, 41, &r), 1.0e+41, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (8.0, -41, &r), 9.403954806578300064e-38, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-10.0, 41, &r), -1.0e+41, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_pow_int_e, (-8.0, -41, &r), -9.403954806578300064e-38, TEST_TOL0, GSL_SUCCESS);

  return status;
}

int test_psi(void)
{
  gsl_sf_result r;
  int s = 0;

  /* Test values taken 1-4 from gp-pari */

  TEST_SF(s, gsl_sf_psi_int_e, (1, &r), -0.57721566490153286060, TEST_TOL0, GSL_SUCCESS);  
  TEST_SF(s, gsl_sf_psi_int_e, (2, &r), 0.42278433509846713939, TEST_TOL0, GSL_SUCCESS);  
  TEST_SF(s, gsl_sf_psi_int_e, (3, &r), 0.92278433509846713939, TEST_TOL0, GSL_SUCCESS);  
  TEST_SF(s, gsl_sf_psi_int_e, (4, &r), 1.2561176684318004727, TEST_TOL0, GSL_SUCCESS);  

  TEST_SF(s, gsl_sf_psi_int_e, (5, &r), 1.5061176684318004727, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_int_e, (100, &r), 4.600161852738087400, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_int_e, (110, &r), 4.695928024251535633, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_int_e, (5000, &r), 8.517093188082904107, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_e, (5000.0, &r), 8.517093188082904107, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_e, (5.0, &r), 1.5061176684318004727, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_e, (-10.5, &r),       2.3982391295357816134,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_e, (-100.5, &r),      4.615124601338064117,  TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_e, (-1.0e+5-0.5, &r), 11.512935464924395337, 4.0*TEST_TOL4, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_e, (-262144.0-0.5, &r), 12.476653064769611581, 4.0*TEST_TOL4, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_1piy_e, (0.8, &r), -0.07088340212750589223, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (1.0, &r),  0.09465032062247697727, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (5.0, &r),  1.6127848446157465854, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (100.0, &r),  4.605178519404762003, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (2000.0, &r), 7.600902480375416216, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_1piy_e, (-0.8, &r), -0.07088340212750589223, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (-1.0, &r),  0.09465032062247697727, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (-5.0, &r),  1.6127848446157465854, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (-100.0, &r),  4.605178519404762003, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1piy_e, (-2000.0, &r), 7.600902480375416216, TEST_TOL0, GSL_SUCCESS);

  /* Additional test values 1-4 computed using gp-pari and
     Abramowitz & Stegun 6.4.6 */

  TEST_SF(s, gsl_sf_psi_1_int_e, (1, &r), 1.6449340668482264364,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (2, &r), 0.64493406684822643647, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (3, &r), 0.39493406684822643647, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (4, &r), 0.28382295573711532536, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_1_int_e, (1, &r), 1.6449340668482264365,      TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (5, &r), 0.22132295573711532536,     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (100, &r), 0.010050166663333571395,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (110, &r), 0.009132356622022545705,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_int_e, (500, &r), 0.0020020013333322666697, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_1_e, (1.0/32.0, &r), 1025.5728544782377089,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (1.0, &r), 1.6449340668482264365,       TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (5.0, &r), 0.22132295573711532536,      TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (100.0, &r), 0.010050166663333571395,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (110.0, &r), 0.009132356622022545705,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (500.0, &r), 0.0020020013333322666697,  TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_1_e, (-1.0 - 1.0/128.0, &r), 16386.648472598746587, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (-1.50, &r), 9.3792466449891237539, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (-10.5, &r), 9.7787577398148123845, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (-15.5, &r), 9.8071247184113896201, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (-50.5, &r), 9.8499971860824842274, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_1_e, (-1000.5, &r), 9.8686054001734414233, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_n_e, (1, 1, &r), 1.6449340668482264364,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, 2, &r), 0.64493406684822643647,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, 3, &r), 0.39493406684822643647,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, 4, &r), 0.28382295573711532536,  TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_n_e, (1, 5, &r), 0.22132295573711532536,     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, 100, &r), 0.010050166663333571395,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, 110, &r), 0.009132356622022545705,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, 500, &r), 0.0020020013333322666697, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_n_e, (3, 5.0, &r), 0.021427828192755075022,     TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (3, 500.0, &r), 1.6048063999872000683e-08, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (10, 5.0, &r), -0.08675107579196581317,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (10, 50.0, &r), -4.101091112731268288e-12, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_psi_n_e, (0, -1.5, &r), 0.70315664064524318723,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_psi_n_e, (1, -1.5, &r), 9.3792466449891237539,   TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_psi_complex(void)
{
  gsl_sf_result r1;
  gsl_sf_result r2;
  int s = 0;

  TEST_SF_2(s, gsl_sf_complex_psi_e, (1.0e+07, 1.0e+06, &r1, &r2),
            16.1230707668799525, TEST_TOL0,
            0.09966865744165720, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_psi_e, (10.0, 50.0, &r1, &r2),
            3.92973987174863660, TEST_TOL0,
            1.38302847985210276, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_psi_e, (2.0, 21.0, &r1, &r2),
            3.04697388853248195, TEST_TOL0,
            1.49947549076817824, TEST_TOL0,
            GSL_SUCCESS);

  gsl_sf_complex_psi_e(1.5, 0.0, &r1, &r2);
  TEST_SF_VAL(s, 0.0364899739785765206, +0.0, r1.val, TEST_TOL0);

  TEST_SF_2(s, gsl_sf_complex_psi_e, (1.0, 5.0, &r1, &r2),
            1.612784844615747, TEST_TOL0,
            1.470796326794968, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_psi_e, (-1.5, 5.0, &r1, &r2),
            1.68260717336484070, TEST_TOL0,
            1.95230236730713338, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_psi_e, (-20.5, -20.5, &r1, &r2),
            3.37919358657933066, TEST_TOL0,
           -2.36829046481731091, TEST_TOL0,
            GSL_SUCCESS);

  return s;
}




int test_synch(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_synchrotron_1_e, (0.01, &r),  0.444972504114210632,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_synchrotron_1_e, (1.0, &r),   0.651422815355364504,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_synchrotron_1_e, (10.0, &r),  0.000192238264300868882, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_synchrotron_1_e, (100.0, &r), 4.69759366592220221e-43, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_synchrotron_2_e, (0.01, &r),  0.23098077342226277732, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_synchrotron_2_e, (1.0, &r),   0.4944750621042082670,  TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_synchrotron_2_e, (10.0, &r),  0.00018161187569530204281,  TEST_TOL1, GSL_SUCCESS);  
  TEST_SF(s, gsl_sf_synchrotron_2_e, (256.0, &r), 1.3272635474353774058e-110, TEST_TOL4, GSL_SUCCESS);  /* exp()... not my fault */

  return s;
}


int test_transport(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_transport_2_e, (1.0e-10, &r), 9.9999999999999999999e-11, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_2_e, (1.0, &r),     0.97303256135517012845, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_2_e, (3.0, &r),     2.41105004901695346199, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_2_e, (10.0, &r),    3.28432911449795173575, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_2_e, (100.0, &r),   3.28986813369645287294, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_2_e, (1.0e+05, &r), 3.28986813369645287294, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_transport_3_e, (1.0e-10, &r), 4.999999999999999999997e-21, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (1.0, &r),     0.479841006572417499939, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (3.0, &r),     3.210604662942246772338, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (5.0, &r),     5.614386613842273228585, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (10.0, &r),    7.150322712008592975030, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (30.0, &r),    7.212341416160946511930, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (100.0, &r),   7.212341418957565712398, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_3_e, (1.0e+05, &r), 7.212341418957565712398, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_transport_4_e, (1.0e-10, &r), 3.33333333333333333333e-31, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (1.0e-07, &r), 3.33333333333333166666e-22, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (1.0e-04, &r), 3.33333333166666666726e-13, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (0.1, &r), 0.000333166726172109903824, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (1.0, &r), 0.31724404523442648241, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (3.0, &r), 5.96482239737147652446, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (5.0, &r), 15.3597843168821829816, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (10.0, &r), 25.2736676770304417334, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (30.0, &r), 25.9757575220840937469, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (100.0, &r), 25.9757576090673165963, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_4_e, (1.0e+05, &r), 25.9757576090673165963, TEST_TOL2, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_transport_5_e, (1.0e-10, &r), 2.49999999999999999999e-41, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (1.0e-07, &r), 2.49999999999999861111e-29, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (1.0e-04, &r), 2.49999999861111111163e-17, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (0.1, &r), 0.000024986116317791487410, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (1.0, &r), 0.236615879239094789259153, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (3.0, &r), 12.77055769104415951115760, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (5.0, &r), 50.26309221817518778543615, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (10.0, &r), 116.3807454024207107698556, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (30.0, &r), 124.4313279083858954839911, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (100.0, &r), 124.4313306172043911597639, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_transport_5_e, (1.0e+05, &r), 124.43133061720439115976, TEST_TOL0, GSL_SUCCESS);

  return s;
}


int test_trig(void)
{
  gsl_sf_result r;
  gsl_sf_result r1, r2;
  double theta;
  int s = 0;
  int sa;

  TEST_SF(s, gsl_sf_sin_e, (-10.0, &r),       0.5440211108893698134,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (1.0, &r),         0.8414709848078965067,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (1000.0, &r),      0.8268795405320025603,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (1048576.75, &r),  0.8851545351115651914,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (62831853.75, &r), 0.6273955953485000827,    TEST_TOL3, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (1073741822.5, &r), -0.8284043541754465988,  TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (1073741824.0, &r), -0.6173264150460421708,  TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_e, (1073741825.5, &r),  0.7410684679436226926,  TEST_SQRT_TOL0, GSL_SUCCESS);
  /*
  TEST_SF(s, gsl_sf_sin_e, (1099511627776.0, &r), -0.4057050115328287198, 32.0*TEST_SQRT_TOL0, GSL_SUCCESS);
  */

  TEST_SF(s, gsl_sf_cos_e, (-10.0, &r),      -0.8390715290764524523,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_cos_e, (1.0, &r),         0.5403023058681397174,    TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_cos_e, (1000.0, &r),      0.5623790762907029911,    TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_cos_e, (1048576.75, &r),  0.4652971620066351799,    TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_cos_e, (62831853.75, &r), 0.7787006914966116436,    TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_cos_e, (1073741822.5, &r),   -0.5601305436977716102,  TEST_SQRT_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_cos_e, (1073741824.0, &r),    0.7867071229411881196,  TEST_SQRT_TOL0, GSL_SUCCESS);
  /*
  TEST_SF(s, gsl_sf_cos_e, (1099511627776.0, &r), -0.9140040719915570023, 128.0*TEST_SQRT_TOL0, GSL_SUCCESS);
  */

  TEST_SF(s, gsl_sf_sinc_e, (1.0/1024.0, &r), 0.9999984312693665404, TEST_TOL0, GSL_SUCCESS);  
  TEST_SF(s, gsl_sf_sinc_e, (1.0/2.0,    &r), 2.0/M_PI,              TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sinc_e, (80.5,       &r), 0.0039541600768172754, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sinc_e, (100.5,      &r), 0.0031672625490924445, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sinc_e, (1.0e+06 + 0.5, &r), 3.18309727028927157e-07, TEST_TOL0, GSL_SUCCESS);

  /*
  TEST_SF(s, gsl_sf_sin_pi_x_e, (1000.5, &r), 1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_pi_x_e, (10000.0 + 1.0/65536.0, &r), 0.00004793689960306688455, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_sin_pi_x_e, (1099511627776.0 + 1 + 0.125, &r), -0.3826834323650897717, TEST_TOL0, GSL_SUCCESS);
  */

  TEST_SF_2(s, gsl_sf_complex_sin_e, (1.0, 5.0, &r1, &r2),
            62.44551846769653403, TEST_TOL0,
            40.09216577799840254, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_cos_e, (1.0, 5.0, &r1, &r2),
             40.09580630629882573, TEST_TOL0,
            -62.43984868079963017, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_logsin_e, (1.0, 100.0, &r1, &r2),
            99.3068528194400546900, TEST_TOL0,
            0.5707963267948966192, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_logsin_e, (1.0, -100.0, &r1, &r2),
             99.3068528194400546900, TEST_TOL1,
            -0.5707963267948966192, TEST_TOL1,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_complex_logsin_e, (5.0, 5.0, &r1, &r2),
            4.3068909128079757420, TEST_TOL0,
            2.8540063315538773952, TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_lnsinh_e, (0.1, &r),  -2.3009189815304652235,  TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_lnsinh_e, (1.0, &r),   0.16143936157119563361, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_lnsinh_e, (5.0, &r),   4.306807418479684201,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_lnsinh_e, (100.0, &r), 99.30685281944005469,   TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s,  gsl_sf_lncosh_e, (0.125, &r), 0.007792239318898252791, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_lncosh_e, (1.0, &r),   0.4337808304830271870,   TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_lncosh_e, (5.0, &r),   4.306898218339271555, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s,  gsl_sf_lncosh_e, (100.0, &r), 99.30685281944005469, TEST_TOL0, GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_polar_to_rect, (10.0, M_PI/6.0, &r1, &r2),
            (10.0 * sqrt(3) / 2.0), TEST_TOL0,
            (10.0 * 0.5), TEST_TOL0,
            GSL_SUCCESS);

  TEST_SF_2(s, gsl_sf_polar_to_rect, (10.0, -2.0/3.0*M_PI, &r1, &r2),
            (10.0 * (-0.5)), TEST_TOL1,
            (10.0 * (-sqrt(3.0)/2.0)), TEST_TOL1,
            GSL_SUCCESS);

  /* In double precision M_PI = \pi - 1.2246467991473531772e-16,
     i.e. the nearest machine number is slightly below the exact value
     of \pi.  The true value of \pi satisfies

         M_PI < \pi < nextafter(M_PI,+Inf)

     where nextafter(M_PI,+Inf) = M_PI + 2*DBL_EPSILON

     This also means that 2*M_PI is less than \pi by 2.449e-16. The
     true value of 2\pi satisfies

         2*M_PI < 2\pi < nextafter(2*M_PI,+Inf)

     where nextafter(2*M_PI,+Inf) = 2*M_PI + 4*DBL_EPSILON

     BJG 25/9/06
 */

#define DELTA (1.2246467991473531772e-16)

  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (2.0*M_PI), 2*M_PI, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (-2.0*M_PI), 2*DELTA, TEST_TOL1);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (2.0*M_PI+4*GSL_DBL_EPSILON), 4*GSL_DBL_EPSILON-2*DELTA, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (-2.0*M_PI-4*GSL_DBL_EPSILON), 2*M_PI-4*GSL_DBL_EPSILON+2*DELTA, TEST_TOL1);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (4.0*M_PI+8*GSL_DBL_EPSILON), 8*GSL_DBL_EPSILON-4*DELTA, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (-4.0*M_PI-8*GSL_DBL_EPSILON), 2*M_PI-8*GSL_DBL_EPSILON+4*DELTA, TEST_TOL1);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (1e9), 0.5773954235013851694, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (1e12), 5.625560548042800009446, TEST_SNGL);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (-1e9), 5.7057898836782013075, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (-1e12), 0.6576247591367864674792517289, TEST_SNGL);

#ifdef EXTENDED
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (1e15), 2.1096981170701125979, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_pos_e, (-1e15), 4.1734871901094738790, TEST_TOL1);
#endif

  TEST_SF(s, gsl_sf_angle_restrict_pos_err_e, (2.0*M_PI, &r), 2*M_PI, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_angle_restrict_pos_err_e, (-2.0*M_PI, &r), 2*DELTA, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_angle_restrict_pos_err_e, (1e9, &r), 0.5773954235013851694, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_angle_restrict_pos_err_e, (1e12, &r), 5.625560548042800009446, TEST_SNGL, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_angle_restrict_pos_err_e, (-1e9, &r), 5.7057898836782013075, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_angle_restrict_pos_err_e, (-1e12, &r), 0.6576247591367864674792517289, TEST_SNGL, GSL_SUCCESS);

  TEST_SF (s, gsl_sf_angle_restrict_pos_err_e, (1e15, &r), GSL_NAN, TEST_TOL1, GSL_ELOSS);
  TEST_SF (s, gsl_sf_angle_restrict_pos_err_e, (-1e15, &r), GSL_NAN, TEST_TOL1, GSL_ELOSS);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (2.0*M_PI), -2*DELTA, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-2.0*M_PI), 2*DELTA, TEST_TOL1);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (M_PI), M_PI, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-M_PI), -M_PI, TEST_TOL1);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (M_PI+2*GSL_DBL_EPSILON), -M_PI+2*(GSL_DBL_EPSILON-DELTA), TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-M_PI-2*GSL_DBL_EPSILON), M_PI-2*(GSL_DBL_EPSILON-DELTA), TEST_TOL1);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (3*M_PI+6*GSL_DBL_EPSILON), -M_PI+6*GSL_DBL_EPSILON-4*DELTA, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-3*M_PI-6*GSL_DBL_EPSILON), M_PI-6*GSL_DBL_EPSILON+4*DELTA, TEST_TOL1);


  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (1e9), 0.5773954235013851694, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (1e12), -0.6576247591367864674792517289, TEST_SNGL);

  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-1e9), -0.5773954235013851694, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-1e12), 0.6576247591367864674792517289, TEST_SNGL);

#ifdef EXTENDED
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (1e15), 2.1096981170701125979, TEST_TOL1);
  TEST_SF_THETA(s, gsl_sf_angle_restrict_symm_e, (-1e15), -2.1096981170701125979, TEST_TOL1);
#endif

  TEST_SF (s, gsl_sf_angle_restrict_symm_err_e, (2.0*M_PI, &r), -2*DELTA, TEST_TOL1, GSL_SUCCESS);
  TEST_SF (s, gsl_sf_angle_restrict_symm_err_e, (-2.0*M_PI, &r), 2*DELTA, TEST_TOL1, GSL_SUCCESS);


  TEST_SF(s, gsl_sf_angle_restrict_symm_err_e, (1e9, &r), 0.5773954235013851694, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_angle_restrict_symm_err_e, (1e12, &r), -0.6576247591367864674792517289, TEST_SNGL, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_angle_restrict_symm_err_e, (-1e9, &r), -0.5773954235013851694, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_angle_restrict_symm_err_e, (-1e12, &r), 0.6576247591367864674792517289, TEST_SNGL, GSL_SUCCESS);

  TEST_SF (s, gsl_sf_angle_restrict_symm_err_e, (1e15, &r), GSL_NAN, TEST_TOL1, GSL_ELOSS);
  TEST_SF (s, gsl_sf_angle_restrict_symm_err_e, (-1e15, &r), GSL_NAN, TEST_TOL1, GSL_ELOSS);

  theta = 5.0*M_PI + 5*DELTA + M_PI/2.0;
  gsl_sf_angle_restrict_pos_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, 3.0/2.0*M_PI ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_pos_e: theta =  11/2 Pi");
  s += sa;

  theta = -5.0*M_PI - 5*DELTA - M_PI/2.0;
  gsl_sf_angle_restrict_pos_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, M_PI/2.0 ) > 2.0*TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_pos_e: theta = -11/2 Pi");
  s += sa;

  theta = 50000.0 + 1.0/65536.0;
  gsl_sf_angle_restrict_pos_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, 4.6945260308194656055 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_pos_e: theta = 50000.0 + 1.0/65536.0");
  s += sa;

  theta = 5000000.0 + 1.0/65536.0;
  gsl_sf_angle_restrict_pos_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, 4.49537973053997376 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_pos_e: theta = 5000000.0 + 1.0/65536.0");
  s += sa;

  /*
  theta = 140737488355328.0;
  gsl_sf_angle_restrict_pos_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, 3.20652300406795792638 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_pos_e: theta = 2^47");
  s += sa;
  */

  theta = 5.0*M_PI + (5.5*DELTA + M_PI/2.0);
  gsl_sf_angle_restrict_symm_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, -M_PI/2.0 ) > 2.0*TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_symm_e: theta =  11/2 Pi");
  s += sa;

  theta = -5.0*M_PI - (5.5*DELTA + M_PI/2.0);
  gsl_sf_angle_restrict_symm_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, M_PI/2.0 ) > 2.0*TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_symm_e: theta = -11/2 Pi");
  s += sa;

  theta =  5.0*M_PI + 5*DELTA - M_PI/2.0;
  gsl_sf_angle_restrict_symm_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, M_PI/2.0 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_symm_e: theta = -9/2 Pi");
  s += sa;

  theta =  3.0/2.0*M_PI + 3.0/2.0*DELTA;
  gsl_sf_angle_restrict_symm_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, -M_PI/2.0 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_symm_e: theta =  3/2 Pi");
  s += sa;

  theta = -3.0/2.0*M_PI;
  gsl_sf_angle_restrict_symm_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, M_PI/2.0 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_symm_e: theta = -3/2 Pi");
  s += sa;

  theta = 50000.0 + 1.0/65536.0;
  gsl_sf_angle_restrict_symm_e(&theta);
  sa = 0;
  sa += ( test_sf_frac_diff( theta, -1.5886592763601208714 ) > TEST_TOL0 );
  gsl_test(sa, "  gsl_angle_restrict_symm_e: theta = 50000.0 + 1.0/65536.0");
  s += sa;

  return s;
}


/* I computed the values of zeta for s = -1e-10, 0, 1e-10 using the
   Jensen formula,

   zeta(s) = -1/2 + 1/(1-s) 
     + integ(sin(s arctan(t))/((1+t^2)^(s/2)(exp(2pi*t)-1)), t, 0, inf)
     
   transforming the integral from a semi-infinite range to the range 
   [0,pi/2] using the substitution t = tan(u).  After Taylor expansion
   in s and numerical evaluation of the integrals this gave,

   zeta(s) = 1/2 + 1/(1-s)
             + (0.0810614667944862 +/- 2e-16) s
             + (-3.17822795429232e-3 +/- 2e-17) s^2 
             + ....
             
   for an expansion about s = 0  [BJG 7/01]
*/

int test_zeta(void)
{
  gsl_sf_result r;
  int s = 0;

  TEST_SF(s, gsl_sf_zeta_int_e, (-61.0, &r), -3.30660898765775767257e+34, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_int_e, (-8, &r), 0.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_int_e, (-6, &r), 0.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_int_e, (-5.0, &r),  -0.003968253968253968253968, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_int_e, (-4, &r), 0.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_int_e, (-3, &r), 1.0/120.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_int_e, (-2, &r), 0.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_int_e, (-1, &r), -1.0/12.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_int_e, ( 5.0, &r), 1.0369277551433699263313655, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_int_e, (31.0, &r), 1.0000000004656629065033784, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zetam1_int_e, (-61.0, &r), -3.30660898765775767257e+34, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (-5.0, &r),  -1.003968253968253968253968, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zetam1_int_e, (-8, &r), -1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (-6, &r), -1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (-4, &r), -1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (-3, &r), -119.0/120.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (-2, &r), -1.0, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (-1, &r), -13.0/12.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zetam1_int_e, ( 5.0, &r), 0.0369277551433699263313655, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_int_e, (31.0, &r), 0.0000000004656629065033784, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_e, (-151, &r), 8.195215221831378294e+143, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-51, &r), 9.68995788746359406565e+24, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-5, &r), -0.003968253968253968253968, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_e, (-8, &r), 0.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-6, &r), 0.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-4, &r), 0.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-3, &r), 1.0/120.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-2, &r), 0.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (-1, &r), -1.0/12.0, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_e, (-0.5, &r), -0.207886224977354566017307, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_e, (-1e-10, &r), -0.49999999990810614668948, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (0.0, &r),    -0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (1e-10, &r),  -0.50000000009189385333058, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zeta_e, (0.5, &r), -1.460354508809586812889499, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (1.0-1.0/1024.0, &r), -1023.4228554489429787, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (1.0+1.0/1048576, &r), 1.0485765772157343441e+06, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (5.0, &r), 1.036927755143369926331365, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zeta_e, (25.5, &r), 1.000000021074106110269959, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zetam1_e, (-8, &r), -1.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-6, &r), -1.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-4, &r), -1.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-3, &r), -119.0/120.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-2, &r), -1.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-1, &r), -13.0/12.0, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-0.5, &r), -1.207886224977354566017307, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (-1e-10, &r), -1.49999999990810614668948, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (0.0, &r),    -1.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (1e-10, &r),  -1.50000000009189385333058, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_zetam1_e, (0.5, &r), -2.460354508809586812889499, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (2.0, &r),  0.64493406684822643647,     TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (3.0, &r),  0.20205690315959428540,     TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (5.0, &r),  0.0369277551433699263314,   TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (9.5, &r),  0.0014125906121736622712,   TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (10.5, &r), 0.000700842641736155219500, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (12.5, &r), 0.000173751733643178193390, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (13.5, &r), 0.000086686727462338155188, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (15.5, &r), 0.000021619904246069108133, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (16.5, &r), 0.000010803124900178547671, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_zetam1_e, (25.5, &r), 0.000000021074106110269959, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_hzeta_e, (2,  1.0, &r),  1.6449340668482264365, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (2, 10.0, &r),  0.1051663356816857461, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (5,  1.0, &r),  1.0369277551433699263, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (5, 10.0, &r),  0.000030413798676470276, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (9,  0.1, &r),  1.0000000004253980e+09, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (30, 0.5, &r),  1.0737418240000053e+09, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (30, 0.9, &r),  2.3589824880264765e+01, TEST_TOL1, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_hzeta_e, (75, 0.25, &r), 1.4272476927059599e+45, TEST_TOL1, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_eta_int_e, (-91, &r), -4.945598888750002040e+94, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, (-51, &r), -4.363969073121683116e+40, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, (-5, &r), 0.25, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, (-1, &r), 0.25, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, ( 0, &r), 0.5, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, ( 5, &r), 0.9721197704469093059, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, ( 6, &r), 0.9855510912974351041, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, ( 20, &r), 0.9999990466115815221, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_int_e, ( 1000, &r), 1.0, TEST_TOL0, GSL_SUCCESS);

  TEST_SF(s, gsl_sf_eta_e, (-51.5, &r), -1.2524184036924703656e+41, TEST_TOL2, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, (-5, &r), 0.25, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, (0.5, &r), 0.6048986434216303702, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, (0.999, &r), 0.6929872789683383574, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, (1.0, &r), 0.6931471805599453094, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, (1.0+1.0e-10, &r), 0.6931471805759321998, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, ( 5, &r), 0.9721197704469093059, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, ( 5.2, &r), 0.9755278712546684682, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, ( 6, &r), 0.9855510912974351041, TEST_TOL0, GSL_SUCCESS);
  TEST_SF(s, gsl_sf_eta_e, ( 20, &r), 0.9999990466115815221, TEST_TOL0, GSL_SUCCESS);

  return s;
}

int test_results(void)
{
  int s = 0;

  gsl_sf_result_e10 re;
  gsl_sf_result r;

  re.val = -1.0;
  re.err = 0.5;
  re.e10 = 0;
  gsl_sf_result_smash_e(&re, &r);
  s += ( test_sf_frac_diff(r.val, -1.0) > TEST_TOL0 );
  s += ( test_sf_frac_diff(r.err,  0.5) > TEST_TOL0 );

  re.val = -1.0;
  re.err = 0.5;
  re.e10 = 10;
  gsl_sf_result_smash_e(&re, &r);
  s += ( test_sf_frac_diff(r.val, -1.0e+10) > TEST_TOL1 );
  s += ( test_sf_frac_diff(r.err,  0.5e+10) > TEST_TOL1 );

  re.val = 1.0;
  re.err = 0.5;
  re.e10 = 10000;
  s += ( gsl_sf_result_smash_e(&re, &r) != GSL_EOVRFLW );

  re.val = 1.0;
  re.err = 0.5;
  re.e10 = -10000;
  s += ( gsl_sf_result_smash_e(&re, &r) != GSL_EUNDRFLW );

  return s;
}


int main(int argc, char * argv[])
{
  gsl_ieee_env_setup ();
  gsl_set_error_handler_off ();

  gsl_test(test_airy(),        "Airy Functions");
  gsl_test(test_bessel(),      "Bessel Functions");
  gsl_test(test_clausen(),     "Clausen Integral");
  gsl_test(test_coulomb(),     "Coulomb Wave Functions");
  gsl_test(test_coupling(),    "Coupling Coefficients");
  gsl_test(test_dawson(),      "Dawson Integral");
  gsl_test(test_debye(),       "Debye Functions");
  gsl_test(test_dilog(),       "Dilogarithm");
  gsl_test(test_elementary(),  "Elementary Functions (Misc)");
  gsl_test(test_ellint(),      "Elliptic Integrals");
  gsl_test(test_jac(),         "Elliptic Functions (Jacobi)");
  gsl_test(test_erf(),         "Error Functions");
  gsl_test(test_exp(),         "Exponential Functions");
  gsl_test(test_expint(),      "Exponential/Sine/Cosine Integrals");
  gsl_test(test_fermidirac(),  "Fermi-Dirac Functions");
  gsl_test(test_gamma(),       "Gamma Functions");
  gsl_test(test_gegen(),       "Gegenbauer Polynomials");
  gsl_test(test_hyperg(),      "Hypergeometric Functions");
  gsl_test(test_laguerre(),    "Laguerre Polynomials");
  gsl_test(test_lambert(),     "Lambert W Functions");
  gsl_test(test_legendre(),    "Legendre Functions");
  gsl_test(test_log(),         "Logarithm");
  gsl_test(test_mathieu(),     "Mathieu Functions");
  gsl_test(test_pow_int(),     "Integer Powers");
  gsl_test(test_psi(),         "Psi Functions");
  gsl_test(test_psi_complex(), "Psi Function for complex argument");
  gsl_test(test_synch(),       "Synchrotron Functions");
  gsl_test(test_transport(),   "Transport Functions");
  gsl_test(test_trig(),        "Trigonometric and Related Functions");
  gsl_test(test_zeta(),        "Zeta Functions");

  gsl_test(test_results(),     "Result Methods");

  exit (gsl_test_summary());
}

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