libstdc++-v3/testsuite/ext/special_functions/hyperg/check_value.cc

   1 // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
   2 //
   3 // Copyright (C) 2016 Free Software Foundation, Inc.
   4 //
   5 // This file is part of the GNU ISO C++ Library.  This library is free
   6 // software; you can redistribute it and/or modify it under the
   7 // terms of the GNU General Public License as published by the
   8 // Free Software Foundation; either version 3, or (at your option)
   9 // any later version.
  10 //
  11 // This library is distributed in the hope that it will be useful,
  12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
  13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  14 // GNU General Public License for more details.
  15 //
  16 // You should have received a copy of the GNU General Public License along
  17 // with this library; see the file COPYING3.  If not see
  18 // <http://www.gnu.org/licenses/>.
  19
  20 //  hyperg
  21 //  Compare against values generated by the GNU Scientific Library.
  22 //  The GSL can be found on the web: http://www.gnu.org/software/gsl/
  23 #include <limits>
  24 #include <cmath>
  25 #if defined(__TEST_DEBUG)
  26 #  include <iostream>
  27 #  define VERIFY(A) \
  28   if (!(A)) \
  29     { \
  30       std::cout << "line " << __LINE__ \
  31         << "  max_abs_frac = " << max_abs_frac \
  32         << std::endl; \
  33     }
  34 #else
  35 #  include <testsuite_hooks.h>
  36 #endif
  37 #include <specfun_testcase.h>
  38
  39
  40 // Test data for a=0.0000000000000000, b=0.0000000000000000, c=2.0000000000000000.
  41 // max(|f - f_GSL|): 0.0000000000000000
  42 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
  43 const testcase_hyperg<double>
  44 data001[19] =
  45 {
  46   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  47           2.0000000000000000, -0.90000000000000002 },
  48   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  49           2.0000000000000000, -0.80000000000000004 },
  50   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  51           2.0000000000000000, -0.69999999999999996 },
  52   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  53           2.0000000000000000, -0.59999999999999998 },
  54   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  55           2.0000000000000000, -0.50000000000000000 },
  56   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  57           2.0000000000000000, -0.40000000000000002 },
  58   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  59           2.0000000000000000, -0.30000000000000004 },
  60   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  61           2.0000000000000000, -0.19999999999999996 },
  62   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  63           2.0000000000000000, -0.099999999999999978 },
  64   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  65           2.0000000000000000, 0.0000000000000000 },
  66   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  67           2.0000000000000000, 0.10000000000000009 },
  68   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  69           2.0000000000000000, 0.19999999999999996 },
  70   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  71           2.0000000000000000, 0.30000000000000004 },
  72   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  73           2.0000000000000000, 0.39999999999999991 },
  74   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  75           2.0000000000000000, 0.50000000000000000 },
  76   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  77           2.0000000000000000, 0.60000000000000009 },
  78   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  79           2.0000000000000000, 0.69999999999999996 },
  80   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  81           2.0000000000000000, 0.80000000000000004 },
  82   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  83           2.0000000000000000, 0.89999999999999991 },
  84 };
  85 const double toler001 = 2.5000000000000020e-13;
  86
  87 // Test data for a=0.0000000000000000, b=0.0000000000000000, c=4.0000000000000000.
  88 // max(|f - f_GSL|): 0.0000000000000000
  89 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
  90 const testcase_hyperg<double>
  91 data002[19] =
  92 {
  93   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  94           4.0000000000000000, -0.90000000000000002 },
  95   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  96           4.0000000000000000, -0.80000000000000004 },
  97   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
  98           4.0000000000000000, -0.69999999999999996 },
  99   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 100           4.0000000000000000, -0.59999999999999998 },
 101   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 102           4.0000000000000000, -0.50000000000000000 },
 103   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 104           4.0000000000000000, -0.40000000000000002 },
 105   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 106           4.0000000000000000, -0.30000000000000004 },
 107   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 108           4.0000000000000000, -0.19999999999999996 },
 109   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 110           4.0000000000000000, -0.099999999999999978 },
 111   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 112           4.0000000000000000, 0.0000000000000000 },
 113   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 114           4.0000000000000000, 0.10000000000000009 },
 115   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 116           4.0000000000000000, 0.19999999999999996 },
 117   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 118           4.0000000000000000, 0.30000000000000004 },
 119   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 120           4.0000000000000000, 0.39999999999999991 },
 121   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 122           4.0000000000000000, 0.50000000000000000 },
 123   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 124           4.0000000000000000, 0.60000000000000009 },
 125   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 126           4.0000000000000000, 0.69999999999999996 },
 127   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 128           4.0000000000000000, 0.80000000000000004 },
 129   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 130           4.0000000000000000, 0.89999999999999991 },
 131 };
 132 const double toler002 = 2.5000000000000020e-13;
 133
 134 // Test data for a=0.0000000000000000, b=0.0000000000000000, c=6.0000000000000000.
 135 // max(|f - f_GSL|): 0.0000000000000000
 136 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 137 const testcase_hyperg<double>
 138 data003[19] =
 139 {
 140   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 141           6.0000000000000000, -0.90000000000000002 },
 142   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 143           6.0000000000000000, -0.80000000000000004 },
 144   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 145           6.0000000000000000, -0.69999999999999996 },
 146   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 147           6.0000000000000000, -0.59999999999999998 },
 148   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 149           6.0000000000000000, -0.50000000000000000 },
 150   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 151           6.0000000000000000, -0.40000000000000002 },
 152   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 153           6.0000000000000000, -0.30000000000000004 },
 154   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 155           6.0000000000000000, -0.19999999999999996 },
 156   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 157           6.0000000000000000, -0.099999999999999978 },
 158   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 159           6.0000000000000000, 0.0000000000000000 },
 160   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 161           6.0000000000000000, 0.10000000000000009 },
 162   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 163           6.0000000000000000, 0.19999999999999996 },
 164   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 165           6.0000000000000000, 0.30000000000000004 },
 166   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 167           6.0000000000000000, 0.39999999999999991 },
 168   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 169           6.0000000000000000, 0.50000000000000000 },
 170   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 171           6.0000000000000000, 0.60000000000000009 },
 172   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 173           6.0000000000000000, 0.69999999999999996 },
 174   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 175           6.0000000000000000, 0.80000000000000004 },
 176   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 177           6.0000000000000000, 0.89999999999999991 },
 178 };
 179 const double toler003 = 2.5000000000000020e-13;
 180
 181 // Test data for a=0.0000000000000000, b=0.0000000000000000, c=8.0000000000000000.
 182 // max(|f - f_GSL|): 0.0000000000000000
 183 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 184 const testcase_hyperg<double>
 185 data004[19] =
 186 {
 187   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 188           8.0000000000000000, -0.90000000000000002 },
 189   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 190           8.0000000000000000, -0.80000000000000004 },
 191   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 192           8.0000000000000000, -0.69999999999999996 },
 193   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 194           8.0000000000000000, -0.59999999999999998 },
 195   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 196           8.0000000000000000, -0.50000000000000000 },
 197   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 198           8.0000000000000000, -0.40000000000000002 },
 199   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 200           8.0000000000000000, -0.30000000000000004 },
 201   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 202           8.0000000000000000, -0.19999999999999996 },
 203   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 204           8.0000000000000000, -0.099999999999999978 },
 205   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 206           8.0000000000000000, 0.0000000000000000 },
 207   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 208           8.0000000000000000, 0.10000000000000009 },
 209   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 210           8.0000000000000000, 0.19999999999999996 },
 211   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 212           8.0000000000000000, 0.30000000000000004 },
 213   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 214           8.0000000000000000, 0.39999999999999991 },
 215   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 216           8.0000000000000000, 0.50000000000000000 },
 217   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 218           8.0000000000000000, 0.60000000000000009 },
 219   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 220           8.0000000000000000, 0.69999999999999996 },
 221   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 222           8.0000000000000000, 0.80000000000000004 },
 223   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 224           8.0000000000000000, 0.89999999999999991 },
 225 };
 226 const double toler004 = 2.5000000000000020e-13;
 227
 228 // Test data for a=0.0000000000000000, b=0.0000000000000000, c=10.000000000000000.
 229 // max(|f - f_GSL|): 0.0000000000000000
 230 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 231 const testcase_hyperg<double>
 232 data005[19] =
 233 {
 234   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 235           10.000000000000000, -0.90000000000000002 },
 236   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 237           10.000000000000000, -0.80000000000000004 },
 238   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 239           10.000000000000000, -0.69999999999999996 },
 240   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 241           10.000000000000000, -0.59999999999999998 },
 242   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 243           10.000000000000000, -0.50000000000000000 },
 244   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 245           10.000000000000000, -0.40000000000000002 },
 246   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 247           10.000000000000000, -0.30000000000000004 },
 248   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 249           10.000000000000000, -0.19999999999999996 },
 250   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 251           10.000000000000000, -0.099999999999999978 },
 252   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 253           10.000000000000000, 0.0000000000000000 },
 254   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 255           10.000000000000000, 0.10000000000000009 },
 256   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 257           10.000000000000000, 0.19999999999999996 },
 258   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 259           10.000000000000000, 0.30000000000000004 },
 260   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 261           10.000000000000000, 0.39999999999999991 },
 262   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 263           10.000000000000000, 0.50000000000000000 },
 264   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 265           10.000000000000000, 0.60000000000000009 },
 266   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 267           10.000000000000000, 0.69999999999999996 },
 268   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 269           10.000000000000000, 0.80000000000000004 },
 270   { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000,
 271           10.000000000000000, 0.89999999999999991 },
 272 };
 273 const double toler005 = 2.5000000000000020e-13;
 274
 275 // Test data for a=0.0000000000000000, b=0.50000000000000000, c=2.0000000000000000.
 276 // max(|f - f_GSL|): 0.0000000000000000
 277 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 278 const testcase_hyperg<double>
 279 data006[19] =
 280 {
 281   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 282           2.0000000000000000, -0.90000000000000002 },
 283   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 284           2.0000000000000000, -0.80000000000000004 },
 285   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 286           2.0000000000000000, -0.69999999999999996 },
 287   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 288           2.0000000000000000, -0.59999999999999998 },
 289   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 290           2.0000000000000000, -0.50000000000000000 },
 291   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 292           2.0000000000000000, -0.40000000000000002 },
 293   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 294           2.0000000000000000, -0.30000000000000004 },
 295   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 296           2.0000000000000000, -0.19999999999999996 },
 297   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 298           2.0000000000000000, -0.099999999999999978 },
 299   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 300           2.0000000000000000, 0.0000000000000000 },
 301   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 302           2.0000000000000000, 0.10000000000000009 },
 303   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 304           2.0000000000000000, 0.19999999999999996 },
 305   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 306           2.0000000000000000, 0.30000000000000004 },
 307   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 308           2.0000000000000000, 0.39999999999999991 },
 309   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 310           2.0000000000000000, 0.50000000000000000 },
 311   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 312           2.0000000000000000, 0.60000000000000009 },
 313   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 314           2.0000000000000000, 0.69999999999999996 },
 315   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 316           2.0000000000000000, 0.80000000000000004 },
 317   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 318           2.0000000000000000, 0.89999999999999991 },
 319 };
 320 const double toler006 = 2.5000000000000020e-13;
 321
 322 // Test data for a=0.0000000000000000, b=0.50000000000000000, c=4.0000000000000000.
 323 // max(|f - f_GSL|): 0.0000000000000000
 324 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 325 const testcase_hyperg<double>
 326 data007[19] =
 327 {
 328   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 329           4.0000000000000000, -0.90000000000000002 },
 330   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 331           4.0000000000000000, -0.80000000000000004 },
 332   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 333           4.0000000000000000, -0.69999999999999996 },
 334   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 335           4.0000000000000000, -0.59999999999999998 },
 336   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 337           4.0000000000000000, -0.50000000000000000 },
 338   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 339           4.0000000000000000, -0.40000000000000002 },
 340   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 341           4.0000000000000000, -0.30000000000000004 },
 342   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 343           4.0000000000000000, -0.19999999999999996 },
 344   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 345           4.0000000000000000, -0.099999999999999978 },
 346   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 347           4.0000000000000000, 0.0000000000000000 },
 348   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 349           4.0000000000000000, 0.10000000000000009 },
 350   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 351           4.0000000000000000, 0.19999999999999996 },
 352   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 353           4.0000000000000000, 0.30000000000000004 },
 354   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 355           4.0000000000000000, 0.39999999999999991 },
 356   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 357           4.0000000000000000, 0.50000000000000000 },
 358   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 359           4.0000000000000000, 0.60000000000000009 },
 360   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 361           4.0000000000000000, 0.69999999999999996 },
 362   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 363           4.0000000000000000, 0.80000000000000004 },
 364   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 365           4.0000000000000000, 0.89999999999999991 },
 366 };
 367 const double toler007 = 2.5000000000000020e-13;
 368
 369 // Test data for a=0.0000000000000000, b=0.50000000000000000, c=6.0000000000000000.
 370 // max(|f - f_GSL|): 0.0000000000000000
 371 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 372 const testcase_hyperg<double>
 373 data008[19] =
 374 {
 375   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 376           6.0000000000000000, -0.90000000000000002 },
 377   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 378           6.0000000000000000, -0.80000000000000004 },
 379   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 380           6.0000000000000000, -0.69999999999999996 },
 381   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 382           6.0000000000000000, -0.59999999999999998 },
 383   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 384           6.0000000000000000, -0.50000000000000000 },
 385   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 386           6.0000000000000000, -0.40000000000000002 },
 387   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 388           6.0000000000000000, -0.30000000000000004 },
 389   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 390           6.0000000000000000, -0.19999999999999996 },
 391   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 392           6.0000000000000000, -0.099999999999999978 },
 393   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 394           6.0000000000000000, 0.0000000000000000 },
 395   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 396           6.0000000000000000, 0.10000000000000009 },
 397   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 398           6.0000000000000000, 0.19999999999999996 },
 399   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 400           6.0000000000000000, 0.30000000000000004 },
 401   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 402           6.0000000000000000, 0.39999999999999991 },
 403   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 404           6.0000000000000000, 0.50000000000000000 },
 405   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 406           6.0000000000000000, 0.60000000000000009 },
 407   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 408           6.0000000000000000, 0.69999999999999996 },
 409   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 410           6.0000000000000000, 0.80000000000000004 },
 411   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 412           6.0000000000000000, 0.89999999999999991 },
 413 };
 414 const double toler008 = 2.5000000000000020e-13;
 415
 416 // Test data for a=0.0000000000000000, b=0.50000000000000000, c=8.0000000000000000.
 417 // max(|f - f_GSL|): 0.0000000000000000
 418 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 419 const testcase_hyperg<double>
 420 data009[19] =
 421 {
 422   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 423           8.0000000000000000, -0.90000000000000002 },
 424   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 425           8.0000000000000000, -0.80000000000000004 },
 426   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 427           8.0000000000000000, -0.69999999999999996 },
 428   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 429           8.0000000000000000, -0.59999999999999998 },
 430   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 431           8.0000000000000000, -0.50000000000000000 },
 432   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 433           8.0000000000000000, -0.40000000000000002 },
 434   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 435           8.0000000000000000, -0.30000000000000004 },
 436   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 437           8.0000000000000000, -0.19999999999999996 },
 438   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 439           8.0000000000000000, -0.099999999999999978 },
 440   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 441           8.0000000000000000, 0.0000000000000000 },
 442   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 443           8.0000000000000000, 0.10000000000000009 },
 444   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 445           8.0000000000000000, 0.19999999999999996 },
 446   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 447           8.0000000000000000, 0.30000000000000004 },
 448   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 449           8.0000000000000000, 0.39999999999999991 },
 450   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 451           8.0000000000000000, 0.50000000000000000 },
 452   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 453           8.0000000000000000, 0.60000000000000009 },
 454   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 455           8.0000000000000000, 0.69999999999999996 },
 456   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 457           8.0000000000000000, 0.80000000000000004 },
 458   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 459           8.0000000000000000, 0.89999999999999991 },
 460 };
 461 const double toler009 = 2.5000000000000020e-13;
 462
 463 // Test data for a=0.0000000000000000, b=0.50000000000000000, c=10.000000000000000.
 464 // max(|f - f_GSL|): 0.0000000000000000
 465 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 466 const testcase_hyperg<double>
 467 data010[19] =
 468 {
 469   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 470           10.000000000000000, -0.90000000000000002 },
 471   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 472           10.000000000000000, -0.80000000000000004 },
 473   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 474           10.000000000000000, -0.69999999999999996 },
 475   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 476           10.000000000000000, -0.59999999999999998 },
 477   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 478           10.000000000000000, -0.50000000000000000 },
 479   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 480           10.000000000000000, -0.40000000000000002 },
 481   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 482           10.000000000000000, -0.30000000000000004 },
 483   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 484           10.000000000000000, -0.19999999999999996 },
 485   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 486           10.000000000000000, -0.099999999999999978 },
 487   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 488           10.000000000000000, 0.0000000000000000 },
 489   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 490           10.000000000000000, 0.10000000000000009 },
 491   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 492           10.000000000000000, 0.19999999999999996 },
 493   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 494           10.000000000000000, 0.30000000000000004 },
 495   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 496           10.000000000000000, 0.39999999999999991 },
 497   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 498           10.000000000000000, 0.50000000000000000 },
 499   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 500           10.000000000000000, 0.60000000000000009 },
 501   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 502           10.000000000000000, 0.69999999999999996 },
 503   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 504           10.000000000000000, 0.80000000000000004 },
 505   { 1.0000000000000000, 0.0000000000000000, 0.50000000000000000,
 506           10.000000000000000, 0.89999999999999991 },
 507 };
 508 const double toler010 = 2.5000000000000020e-13;
 509
 510 // Test data for a=0.0000000000000000, b=1.0000000000000000, c=2.0000000000000000.
 511 // max(|f - f_GSL|): 0.0000000000000000
 512 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 513 const testcase_hyperg<double>
 514 data011[19] =
 515 {
 516   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 517           2.0000000000000000, -0.90000000000000002 },
 518   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 519           2.0000000000000000, -0.80000000000000004 },
 520   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 521           2.0000000000000000, -0.69999999999999996 },
 522   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 523           2.0000000000000000, -0.59999999999999998 },
 524   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 525           2.0000000000000000, -0.50000000000000000 },
 526   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 527           2.0000000000000000, -0.40000000000000002 },
 528   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 529           2.0000000000000000, -0.30000000000000004 },
 530   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 531           2.0000000000000000, -0.19999999999999996 },
 532   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 533           2.0000000000000000, -0.099999999999999978 },
 534   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 535           2.0000000000000000, 0.0000000000000000 },
 536   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 537           2.0000000000000000, 0.10000000000000009 },
 538   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 539           2.0000000000000000, 0.19999999999999996 },
 540   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 541           2.0000000000000000, 0.30000000000000004 },
 542   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 543           2.0000000000000000, 0.39999999999999991 },
 544   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 545           2.0000000000000000, 0.50000000000000000 },
 546   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 547           2.0000000000000000, 0.60000000000000009 },
 548   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 549           2.0000000000000000, 0.69999999999999996 },
 550   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 551           2.0000000000000000, 0.80000000000000004 },
 552   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 553           2.0000000000000000, 0.89999999999999991 },
 554 };
 555 const double toler011 = 2.5000000000000020e-13;
 556
 557 // Test data for a=0.0000000000000000, b=1.0000000000000000, c=4.0000000000000000.
 558 // max(|f - f_GSL|): 0.0000000000000000
 559 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 560 const testcase_hyperg<double>
 561 data012[19] =
 562 {
 563   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 564           4.0000000000000000, -0.90000000000000002 },
 565   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 566           4.0000000000000000, -0.80000000000000004 },
 567   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 568           4.0000000000000000, -0.69999999999999996 },
 569   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 570           4.0000000000000000, -0.59999999999999998 },
 571   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 572           4.0000000000000000, -0.50000000000000000 },
 573   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 574           4.0000000000000000, -0.40000000000000002 },
 575   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 576           4.0000000000000000, -0.30000000000000004 },
 577   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 578           4.0000000000000000, -0.19999999999999996 },
 579   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 580           4.0000000000000000, -0.099999999999999978 },
 581   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 582           4.0000000000000000, 0.0000000000000000 },
 583   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 584           4.0000000000000000, 0.10000000000000009 },
 585   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 586           4.0000000000000000, 0.19999999999999996 },
 587   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 588           4.0000000000000000, 0.30000000000000004 },
 589   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 590           4.0000000000000000, 0.39999999999999991 },
 591   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 592           4.0000000000000000, 0.50000000000000000 },
 593   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 594           4.0000000000000000, 0.60000000000000009 },
 595   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 596           4.0000000000000000, 0.69999999999999996 },
 597   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 598           4.0000000000000000, 0.80000000000000004 },
 599   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 600           4.0000000000000000, 0.89999999999999991 },
 601 };
 602 const double toler012 = 2.5000000000000020e-13;
 603
 604 // Test data for a=0.0000000000000000, b=1.0000000000000000, c=6.0000000000000000.
 605 // max(|f - f_GSL|): 0.0000000000000000
 606 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 607 const testcase_hyperg<double>
 608 data013[19] =
 609 {
 610   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 611           6.0000000000000000, -0.90000000000000002 },
 612   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 613           6.0000000000000000, -0.80000000000000004 },
 614   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 615           6.0000000000000000, -0.69999999999999996 },
 616   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 617           6.0000000000000000, -0.59999999999999998 },
 618   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 619           6.0000000000000000, -0.50000000000000000 },
 620   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 621           6.0000000000000000, -0.40000000000000002 },
 622   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 623           6.0000000000000000, -0.30000000000000004 },
 624   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 625           6.0000000000000000, -0.19999999999999996 },
 626   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 627           6.0000000000000000, -0.099999999999999978 },
 628   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 629           6.0000000000000000, 0.0000000000000000 },
 630   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 631           6.0000000000000000, 0.10000000000000009 },
 632   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 633           6.0000000000000000, 0.19999999999999996 },
 634   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 635           6.0000000000000000, 0.30000000000000004 },
 636   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 637           6.0000000000000000, 0.39999999999999991 },
 638   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 639           6.0000000000000000, 0.50000000000000000 },
 640   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 641           6.0000000000000000, 0.60000000000000009 },
 642   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 643           6.0000000000000000, 0.69999999999999996 },
 644   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 645           6.0000000000000000, 0.80000000000000004 },
 646   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 647           6.0000000000000000, 0.89999999999999991 },
 648 };
 649 const double toler013 = 2.5000000000000020e-13;
 650
 651 // Test data for a=0.0000000000000000, b=1.0000000000000000, c=8.0000000000000000.
 652 // max(|f - f_GSL|): 0.0000000000000000
 653 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 654 const testcase_hyperg<double>
 655 data014[19] =
 656 {
 657   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 658           8.0000000000000000, -0.90000000000000002 },
 659   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 660           8.0000000000000000, -0.80000000000000004 },
 661   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 662           8.0000000000000000, -0.69999999999999996 },
 663   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 664           8.0000000000000000, -0.59999999999999998 },
 665   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 666           8.0000000000000000, -0.50000000000000000 },
 667   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 668           8.0000000000000000, -0.40000000000000002 },
 669   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 670           8.0000000000000000, -0.30000000000000004 },
 671   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 672           8.0000000000000000, -0.19999999999999996 },
 673   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 674           8.0000000000000000, -0.099999999999999978 },
 675   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 676           8.0000000000000000, 0.0000000000000000 },
 677   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 678           8.0000000000000000, 0.10000000000000009 },
 679   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 680           8.0000000000000000, 0.19999999999999996 },
 681   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 682           8.0000000000000000, 0.30000000000000004 },
 683   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 684           8.0000000000000000, 0.39999999999999991 },
 685   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 686           8.0000000000000000, 0.50000000000000000 },
 687   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 688           8.0000000000000000, 0.60000000000000009 },
 689   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 690           8.0000000000000000, 0.69999999999999996 },
 691   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 692           8.0000000000000000, 0.80000000000000004 },
 693   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 694           8.0000000000000000, 0.89999999999999991 },
 695 };
 696 const double toler014 = 2.5000000000000020e-13;
 697
 698 // Test data for a=0.0000000000000000, b=1.0000000000000000, c=10.000000000000000.
 699 // max(|f - f_GSL|): 0.0000000000000000
 700 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 701 const testcase_hyperg<double>
 702 data015[19] =
 703 {
 704   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 705           10.000000000000000, -0.90000000000000002 },
 706   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 707           10.000000000000000, -0.80000000000000004 },
 708   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 709           10.000000000000000, -0.69999999999999996 },
 710   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 711           10.000000000000000, -0.59999999999999998 },
 712   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 713           10.000000000000000, -0.50000000000000000 },
 714   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 715           10.000000000000000, -0.40000000000000002 },
 716   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 717           10.000000000000000, -0.30000000000000004 },
 718   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 719           10.000000000000000, -0.19999999999999996 },
 720   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 721           10.000000000000000, -0.099999999999999978 },
 722   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 723           10.000000000000000, 0.0000000000000000 },
 724   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 725           10.000000000000000, 0.10000000000000009 },
 726   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 727           10.000000000000000, 0.19999999999999996 },
 728   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 729           10.000000000000000, 0.30000000000000004 },
 730   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 731           10.000000000000000, 0.39999999999999991 },
 732   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 733           10.000000000000000, 0.50000000000000000 },
 734   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 735           10.000000000000000, 0.60000000000000009 },
 736   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 737           10.000000000000000, 0.69999999999999996 },
 738   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 739           10.000000000000000, 0.80000000000000004 },
 740   { 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
 741           10.000000000000000, 0.89999999999999991 },
 742 };
 743 const double toler015 = 2.5000000000000020e-13;
 744
 745 // Test data for a=0.0000000000000000, b=2.0000000000000000, c=2.0000000000000000.
 746 // max(|f - f_GSL|): 0.0000000000000000
 747 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 748 const testcase_hyperg<double>
 749 data016[19] =
 750 {
 751   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 752           2.0000000000000000, -0.90000000000000002 },
 753   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 754           2.0000000000000000, -0.80000000000000004 },
 755   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 756           2.0000000000000000, -0.69999999999999996 },
 757   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 758           2.0000000000000000, -0.59999999999999998 },
 759   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 760           2.0000000000000000, -0.50000000000000000 },
 761   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 762           2.0000000000000000, -0.40000000000000002 },
 763   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 764           2.0000000000000000, -0.30000000000000004 },
 765   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 766           2.0000000000000000, -0.19999999999999996 },
 767   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 768           2.0000000000000000, -0.099999999999999978 },
 769   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 770           2.0000000000000000, 0.0000000000000000 },
 771   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 772           2.0000000000000000, 0.10000000000000009 },
 773   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 774           2.0000000000000000, 0.19999999999999996 },
 775   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 776           2.0000000000000000, 0.30000000000000004 },
 777   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 778           2.0000000000000000, 0.39999999999999991 },
 779   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 780           2.0000000000000000, 0.50000000000000000 },
 781   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 782           2.0000000000000000, 0.60000000000000009 },
 783   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 784           2.0000000000000000, 0.69999999999999996 },
 785   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 786           2.0000000000000000, 0.80000000000000004 },
 787   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 788           2.0000000000000000, 0.89999999999999991 },
 789 };
 790 const double toler016 = 2.5000000000000020e-13;
 791
 792 // Test data for a=0.0000000000000000, b=2.0000000000000000, c=4.0000000000000000.
 793 // max(|f - f_GSL|): 0.0000000000000000
 794 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 795 const testcase_hyperg<double>
 796 data017[19] =
 797 {
 798   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 799           4.0000000000000000, -0.90000000000000002 },
 800   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 801           4.0000000000000000, -0.80000000000000004 },
 802   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 803           4.0000000000000000, -0.69999999999999996 },
 804   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 805           4.0000000000000000, -0.59999999999999998 },
 806   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 807           4.0000000000000000, -0.50000000000000000 },
 808   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 809           4.0000000000000000, -0.40000000000000002 },
 810   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 811           4.0000000000000000, -0.30000000000000004 },
 812   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 813           4.0000000000000000, -0.19999999999999996 },
 814   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 815           4.0000000000000000, -0.099999999999999978 },
 816   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 817           4.0000000000000000, 0.0000000000000000 },
 818   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 819           4.0000000000000000, 0.10000000000000009 },
 820   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 821           4.0000000000000000, 0.19999999999999996 },
 822   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 823           4.0000000000000000, 0.30000000000000004 },
 824   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 825           4.0000000000000000, 0.39999999999999991 },
 826   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 827           4.0000000000000000, 0.50000000000000000 },
 828   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 829           4.0000000000000000, 0.60000000000000009 },
 830   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 831           4.0000000000000000, 0.69999999999999996 },
 832   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 833           4.0000000000000000, 0.80000000000000004 },
 834   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 835           4.0000000000000000, 0.89999999999999991 },
 836 };
 837 const double toler017 = 2.5000000000000020e-13;
 838
 839 // Test data for a=0.0000000000000000, b=2.0000000000000000, c=6.0000000000000000.
 840 // max(|f - f_GSL|): 0.0000000000000000
 841 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 842 const testcase_hyperg<double>
 843 data018[19] =
 844 {
 845   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 846           6.0000000000000000, -0.90000000000000002 },
 847   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 848           6.0000000000000000, -0.80000000000000004 },
 849   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 850           6.0000000000000000, -0.69999999999999996 },
 851   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 852           6.0000000000000000, -0.59999999999999998 },
 853   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 854           6.0000000000000000, -0.50000000000000000 },
 855   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 856           6.0000000000000000, -0.40000000000000002 },
 857   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 858           6.0000000000000000, -0.30000000000000004 },
 859   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 860           6.0000000000000000, -0.19999999999999996 },
 861   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 862           6.0000000000000000, -0.099999999999999978 },
 863   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 864           6.0000000000000000, 0.0000000000000000 },
 865   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 866           6.0000000000000000, 0.10000000000000009 },
 867   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 868           6.0000000000000000, 0.19999999999999996 },
 869   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 870           6.0000000000000000, 0.30000000000000004 },
 871   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 872           6.0000000000000000, 0.39999999999999991 },
 873   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 874           6.0000000000000000, 0.50000000000000000 },
 875   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 876           6.0000000000000000, 0.60000000000000009 },
 877   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 878           6.0000000000000000, 0.69999999999999996 },
 879   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 880           6.0000000000000000, 0.80000000000000004 },
 881   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 882           6.0000000000000000, 0.89999999999999991 },
 883 };
 884 const double toler018 = 2.5000000000000020e-13;
 885
 886 // Test data for a=0.0000000000000000, b=2.0000000000000000, c=8.0000000000000000.
 887 // max(|f - f_GSL|): 0.0000000000000000
 888 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 889 const testcase_hyperg<double>
 890 data019[19] =
 891 {
 892   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 893           8.0000000000000000, -0.90000000000000002 },
 894   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 895           8.0000000000000000, -0.80000000000000004 },
 896   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 897           8.0000000000000000, -0.69999999999999996 },
 898   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 899           8.0000000000000000, -0.59999999999999998 },
 900   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 901           8.0000000000000000, -0.50000000000000000 },
 902   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 903           8.0000000000000000, -0.40000000000000002 },
 904   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 905           8.0000000000000000, -0.30000000000000004 },
 906   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 907           8.0000000000000000, -0.19999999999999996 },
 908   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 909           8.0000000000000000, -0.099999999999999978 },
 910   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 911           8.0000000000000000, 0.0000000000000000 },
 912   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 913           8.0000000000000000, 0.10000000000000009 },
 914   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 915           8.0000000000000000, 0.19999999999999996 },
 916   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 917           8.0000000000000000, 0.30000000000000004 },
 918   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 919           8.0000000000000000, 0.39999999999999991 },
 920   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 921           8.0000000000000000, 0.50000000000000000 },
 922   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 923           8.0000000000000000, 0.60000000000000009 },
 924   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 925           8.0000000000000000, 0.69999999999999996 },
 926   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 927           8.0000000000000000, 0.80000000000000004 },
 928   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 929           8.0000000000000000, 0.89999999999999991 },
 930 };
 931 const double toler019 = 2.5000000000000020e-13;
 932
 933 // Test data for a=0.0000000000000000, b=2.0000000000000000, c=10.000000000000000.
 934 // max(|f - f_GSL|): 0.0000000000000000
 935 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 936 const testcase_hyperg<double>
 937 data020[19] =
 938 {
 939   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 940           10.000000000000000, -0.90000000000000002 },
 941   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 942           10.000000000000000, -0.80000000000000004 },
 943   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 944           10.000000000000000, -0.69999999999999996 },
 945   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 946           10.000000000000000, -0.59999999999999998 },
 947   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 948           10.000000000000000, -0.50000000000000000 },
 949   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 950           10.000000000000000, -0.40000000000000002 },
 951   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 952           10.000000000000000, -0.30000000000000004 },
 953   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 954           10.000000000000000, -0.19999999999999996 },
 955   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 956           10.000000000000000, -0.099999999999999978 },
 957   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 958           10.000000000000000, 0.0000000000000000 },
 959   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 960           10.000000000000000, 0.10000000000000009 },
 961   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 962           10.000000000000000, 0.19999999999999996 },
 963   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 964           10.000000000000000, 0.30000000000000004 },
 965   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 966           10.000000000000000, 0.39999999999999991 },
 967   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 968           10.000000000000000, 0.50000000000000000 },
 969   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 970           10.000000000000000, 0.60000000000000009 },
 971   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 972           10.000000000000000, 0.69999999999999996 },
 973   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 974           10.000000000000000, 0.80000000000000004 },
 975   { 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
 976           10.000000000000000, 0.89999999999999991 },
 977 };
 978 const double toler020 = 2.5000000000000020e-13;
 979
 980 // Test data for a=0.0000000000000000, b=5.0000000000000000, c=2.0000000000000000.
 981 // max(|f - f_GSL|): 0.0000000000000000
 982 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
 983 const testcase_hyperg<double>
 984 data021[19] =
 985 {
 986   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 987           2.0000000000000000, -0.90000000000000002 },
 988   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 989           2.0000000000000000, -0.80000000000000004 },
 990   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 991           2.0000000000000000, -0.69999999999999996 },
 992   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 993           2.0000000000000000, -0.59999999999999998 },
 994   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 995           2.0000000000000000, -0.50000000000000000 },
 996   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 997           2.0000000000000000, -0.40000000000000002 },
 998   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
 999           2.0000000000000000, -0.30000000000000004 },
1000   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1001           2.0000000000000000, -0.19999999999999996 },
1002   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1003           2.0000000000000000, -0.099999999999999978 },
1004   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1005           2.0000000000000000, 0.0000000000000000 },
1006   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1007           2.0000000000000000, 0.10000000000000009 },
1008   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1009           2.0000000000000000, 0.19999999999999996 },
1010   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1011           2.0000000000000000, 0.30000000000000004 },
1012   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1013           2.0000000000000000, 0.39999999999999991 },
1014   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1015           2.0000000000000000, 0.50000000000000000 },
1016   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1017           2.0000000000000000, 0.60000000000000009 },
1018   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1019           2.0000000000000000, 0.69999999999999996 },
1020   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1021           2.0000000000000000, 0.80000000000000004 },
1022   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1023           2.0000000000000000, 0.89999999999999991 },
1024 };
1025 const double toler021 = 2.5000000000000020e-13;
1026
1027 // Test data for a=0.0000000000000000, b=5.0000000000000000, c=4.0000000000000000.
1028 // max(|f - f_GSL|): 0.0000000000000000
1029 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1030 const testcase_hyperg<double>
1031 data022[19] =
1032 {
1033   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1034           4.0000000000000000, -0.90000000000000002 },
1035   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1036           4.0000000000000000, -0.80000000000000004 },
1037   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1038           4.0000000000000000, -0.69999999999999996 },
1039   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1040           4.0000000000000000, -0.59999999999999998 },
1041   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1042           4.0000000000000000, -0.50000000000000000 },
1043   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1044           4.0000000000000000, -0.40000000000000002 },
1045   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1046           4.0000000000000000, -0.30000000000000004 },
1047   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1048           4.0000000000000000, -0.19999999999999996 },
1049   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1050           4.0000000000000000, -0.099999999999999978 },
1051   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1052           4.0000000000000000, 0.0000000000000000 },
1053   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1054           4.0000000000000000, 0.10000000000000009 },
1055   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1056           4.0000000000000000, 0.19999999999999996 },
1057   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1058           4.0000000000000000, 0.30000000000000004 },
1059   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1060           4.0000000000000000, 0.39999999999999991 },
1061   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1062           4.0000000000000000, 0.50000000000000000 },
1063   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1064           4.0000000000000000, 0.60000000000000009 },
1065   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1066           4.0000000000000000, 0.69999999999999996 },
1067   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1068           4.0000000000000000, 0.80000000000000004 },
1069   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1070           4.0000000000000000, 0.89999999999999991 },
1071 };
1072 const double toler022 = 2.5000000000000020e-13;
1073
1074 // Test data for a=0.0000000000000000, b=5.0000000000000000, c=6.0000000000000000.
1075 // max(|f - f_GSL|): 0.0000000000000000
1076 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1077 const testcase_hyperg<double>
1078 data023[19] =
1079 {
1080   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1081           6.0000000000000000, -0.90000000000000002 },
1082   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1083           6.0000000000000000, -0.80000000000000004 },
1084   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1085           6.0000000000000000, -0.69999999999999996 },
1086   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1087           6.0000000000000000, -0.59999999999999998 },
1088   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1089           6.0000000000000000, -0.50000000000000000 },
1090   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1091           6.0000000000000000, -0.40000000000000002 },
1092   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1093           6.0000000000000000, -0.30000000000000004 },
1094   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1095           6.0000000000000000, -0.19999999999999996 },
1096   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1097           6.0000000000000000, -0.099999999999999978 },
1098   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1099           6.0000000000000000, 0.0000000000000000 },
1100   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1101           6.0000000000000000, 0.10000000000000009 },
1102   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1103           6.0000000000000000, 0.19999999999999996 },
1104   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1105           6.0000000000000000, 0.30000000000000004 },
1106   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1107           6.0000000000000000, 0.39999999999999991 },
1108   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1109           6.0000000000000000, 0.50000000000000000 },
1110   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1111           6.0000000000000000, 0.60000000000000009 },
1112   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1113           6.0000000000000000, 0.69999999999999996 },
1114   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1115           6.0000000000000000, 0.80000000000000004 },
1116   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1117           6.0000000000000000, 0.89999999999999991 },
1118 };
1119 const double toler023 = 2.5000000000000020e-13;
1120
1121 // Test data for a=0.0000000000000000, b=5.0000000000000000, c=8.0000000000000000.
1122 // max(|f - f_GSL|): 0.0000000000000000
1123 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1124 const testcase_hyperg<double>
1125 data024[19] =
1126 {
1127   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1128           8.0000000000000000, -0.90000000000000002 },
1129   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1130           8.0000000000000000, -0.80000000000000004 },
1131   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1132           8.0000000000000000, -0.69999999999999996 },
1133   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1134           8.0000000000000000, -0.59999999999999998 },
1135   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1136           8.0000000000000000, -0.50000000000000000 },
1137   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1138           8.0000000000000000, -0.40000000000000002 },
1139   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1140           8.0000000000000000, -0.30000000000000004 },
1141   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1142           8.0000000000000000, -0.19999999999999996 },
1143   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1144           8.0000000000000000, -0.099999999999999978 },
1145   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1146           8.0000000000000000, 0.0000000000000000 },
1147   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1148           8.0000000000000000, 0.10000000000000009 },
1149   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1150           8.0000000000000000, 0.19999999999999996 },
1151   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1152           8.0000000000000000, 0.30000000000000004 },
1153   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1154           8.0000000000000000, 0.39999999999999991 },
1155   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1156           8.0000000000000000, 0.50000000000000000 },
1157   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1158           8.0000000000000000, 0.60000000000000009 },
1159   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1160           8.0000000000000000, 0.69999999999999996 },
1161   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1162           8.0000000000000000, 0.80000000000000004 },
1163   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1164           8.0000000000000000, 0.89999999999999991 },
1165 };
1166 const double toler024 = 2.5000000000000020e-13;
1167
1168 // Test data for a=0.0000000000000000, b=5.0000000000000000, c=10.000000000000000.
1169 // max(|f - f_GSL|): 0.0000000000000000
1170 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1171 const testcase_hyperg<double>
1172 data025[19] =
1173 {
1174   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1175           10.000000000000000, -0.90000000000000002 },
1176   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1177           10.000000000000000, -0.80000000000000004 },
1178   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1179           10.000000000000000, -0.69999999999999996 },
1180   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1181           10.000000000000000, -0.59999999999999998 },
1182   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1183           10.000000000000000, -0.50000000000000000 },
1184   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1185           10.000000000000000, -0.40000000000000002 },
1186   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1187           10.000000000000000, -0.30000000000000004 },
1188   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1189           10.000000000000000, -0.19999999999999996 },
1190   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1191           10.000000000000000, -0.099999999999999978 },
1192   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1193           10.000000000000000, 0.0000000000000000 },
1194   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1195           10.000000000000000, 0.10000000000000009 },
1196   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1197           10.000000000000000, 0.19999999999999996 },
1198   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1199           10.000000000000000, 0.30000000000000004 },
1200   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1201           10.000000000000000, 0.39999999999999991 },
1202   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1203           10.000000000000000, 0.50000000000000000 },
1204   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1205           10.000000000000000, 0.60000000000000009 },
1206   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1207           10.000000000000000, 0.69999999999999996 },
1208   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1209           10.000000000000000, 0.80000000000000004 },
1210   { 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
1211           10.000000000000000, 0.89999999999999991 },
1212 };
1213 const double toler025 = 2.5000000000000020e-13;
1214
1215 // Test data for a=0.0000000000000000, b=10.000000000000000, c=2.0000000000000000.
1216 // max(|f - f_GSL|): 0.0000000000000000
1217 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1218 const testcase_hyperg<double>
1219 data026[19] =
1220 {
1221   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1222           2.0000000000000000, -0.90000000000000002 },
1223   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1224           2.0000000000000000, -0.80000000000000004 },
1225   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1226           2.0000000000000000, -0.69999999999999996 },
1227   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1228           2.0000000000000000, -0.59999999999999998 },
1229   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1230           2.0000000000000000, -0.50000000000000000 },
1231   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1232           2.0000000000000000, -0.40000000000000002 },
1233   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1234           2.0000000000000000, -0.30000000000000004 },
1235   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1236           2.0000000000000000, -0.19999999999999996 },
1237   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1238           2.0000000000000000, -0.099999999999999978 },
1239   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1240           2.0000000000000000, 0.0000000000000000 },
1241   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1242           2.0000000000000000, 0.10000000000000009 },
1243   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1244           2.0000000000000000, 0.19999999999999996 },
1245   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1246           2.0000000000000000, 0.30000000000000004 },
1247   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1248           2.0000000000000000, 0.39999999999999991 },
1249   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1250           2.0000000000000000, 0.50000000000000000 },
1251   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1252           2.0000000000000000, 0.60000000000000009 },
1253   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1254           2.0000000000000000, 0.69999999999999996 },
1255   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1256           2.0000000000000000, 0.80000000000000004 },
1257   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1258           2.0000000000000000, 0.89999999999999991 },
1259 };
1260 const double toler026 = 2.5000000000000020e-13;
1261
1262 // Test data for a=0.0000000000000000, b=10.000000000000000, c=4.0000000000000000.
1263 // max(|f - f_GSL|): 0.0000000000000000
1264 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1265 const testcase_hyperg<double>
1266 data027[19] =
1267 {
1268   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1269           4.0000000000000000, -0.90000000000000002 },
1270   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1271           4.0000000000000000, -0.80000000000000004 },
1272   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1273           4.0000000000000000, -0.69999999999999996 },
1274   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1275           4.0000000000000000, -0.59999999999999998 },
1276   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1277           4.0000000000000000, -0.50000000000000000 },
1278   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1279           4.0000000000000000, -0.40000000000000002 },
1280   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1281           4.0000000000000000, -0.30000000000000004 },
1282   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1283           4.0000000000000000, -0.19999999999999996 },
1284   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1285           4.0000000000000000, -0.099999999999999978 },
1286   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1287           4.0000000000000000, 0.0000000000000000 },
1288   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1289           4.0000000000000000, 0.10000000000000009 },
1290   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1291           4.0000000000000000, 0.19999999999999996 },
1292   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1293           4.0000000000000000, 0.30000000000000004 },
1294   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1295           4.0000000000000000, 0.39999999999999991 },
1296   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1297           4.0000000000000000, 0.50000000000000000 },
1298   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1299           4.0000000000000000, 0.60000000000000009 },
1300   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1301           4.0000000000000000, 0.69999999999999996 },
1302   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1303           4.0000000000000000, 0.80000000000000004 },
1304   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1305           4.0000000000000000, 0.89999999999999991 },
1306 };
1307 const double toler027 = 2.5000000000000020e-13;
1308
1309 // Test data for a=0.0000000000000000, b=10.000000000000000, c=6.0000000000000000.
1310 // max(|f - f_GSL|): 0.0000000000000000
1311 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1312 const testcase_hyperg<double>
1313 data028[19] =
1314 {
1315   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1316           6.0000000000000000, -0.90000000000000002 },
1317   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1318           6.0000000000000000, -0.80000000000000004 },
1319   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1320           6.0000000000000000, -0.69999999999999996 },
1321   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1322           6.0000000000000000, -0.59999999999999998 },
1323   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1324           6.0000000000000000, -0.50000000000000000 },
1325   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1326           6.0000000000000000, -0.40000000000000002 },
1327   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1328           6.0000000000000000, -0.30000000000000004 },
1329   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1330           6.0000000000000000, -0.19999999999999996 },
1331   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1332           6.0000000000000000, -0.099999999999999978 },
1333   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1334           6.0000000000000000, 0.0000000000000000 },
1335   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1336           6.0000000000000000, 0.10000000000000009 },
1337   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1338           6.0000000000000000, 0.19999999999999996 },
1339   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1340           6.0000000000000000, 0.30000000000000004 },
1341   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1342           6.0000000000000000, 0.39999999999999991 },
1343   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1344           6.0000000000000000, 0.50000000000000000 },
1345   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1346           6.0000000000000000, 0.60000000000000009 },
1347   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1348           6.0000000000000000, 0.69999999999999996 },
1349   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1350           6.0000000000000000, 0.80000000000000004 },
1351   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1352           6.0000000000000000, 0.89999999999999991 },
1353 };
1354 const double toler028 = 2.5000000000000020e-13;
1355
1356 // Test data for a=0.0000000000000000, b=10.000000000000000, c=8.0000000000000000.
1357 // max(|f - f_GSL|): 0.0000000000000000
1358 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1359 const testcase_hyperg<double>
1360 data029[19] =
1361 {
1362   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1363           8.0000000000000000, -0.90000000000000002 },
1364   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1365           8.0000000000000000, -0.80000000000000004 },
1366   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1367           8.0000000000000000, -0.69999999999999996 },
1368   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1369           8.0000000000000000, -0.59999999999999998 },
1370   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1371           8.0000000000000000, -0.50000000000000000 },
1372   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1373           8.0000000000000000, -0.40000000000000002 },
1374   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1375           8.0000000000000000, -0.30000000000000004 },
1376   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1377           8.0000000000000000, -0.19999999999999996 },
1378   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1379           8.0000000000000000, -0.099999999999999978 },
1380   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1381           8.0000000000000000, 0.0000000000000000 },
1382   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1383           8.0000000000000000, 0.10000000000000009 },
1384   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1385           8.0000000000000000, 0.19999999999999996 },
1386   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1387           8.0000000000000000, 0.30000000000000004 },
1388   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1389           8.0000000000000000, 0.39999999999999991 },
1390   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1391           8.0000000000000000, 0.50000000000000000 },
1392   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1393           8.0000000000000000, 0.60000000000000009 },
1394   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1395           8.0000000000000000, 0.69999999999999996 },
1396   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1397           8.0000000000000000, 0.80000000000000004 },
1398   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1399           8.0000000000000000, 0.89999999999999991 },
1400 };
1401 const double toler029 = 2.5000000000000020e-13;
1402
1403 // Test data for a=0.0000000000000000, b=10.000000000000000, c=10.000000000000000.
1404 // max(|f - f_GSL|): 0.0000000000000000
1405 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1406 const testcase_hyperg<double>
1407 data030[19] =
1408 {
1409   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1410           10.000000000000000, -0.90000000000000002 },
1411   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1412           10.000000000000000, -0.80000000000000004 },
1413   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1414           10.000000000000000, -0.69999999999999996 },
1415   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1416           10.000000000000000, -0.59999999999999998 },
1417   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1418           10.000000000000000, -0.50000000000000000 },
1419   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1420           10.000000000000000, -0.40000000000000002 },
1421   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1422           10.000000000000000, -0.30000000000000004 },
1423   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1424           10.000000000000000, -0.19999999999999996 },
1425   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1426           10.000000000000000, -0.099999999999999978 },
1427   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1428           10.000000000000000, 0.0000000000000000 },
1429   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1430           10.000000000000000, 0.10000000000000009 },
1431   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1432           10.000000000000000, 0.19999999999999996 },
1433   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1434           10.000000000000000, 0.30000000000000004 },
1435   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1436           10.000000000000000, 0.39999999999999991 },
1437   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1438           10.000000000000000, 0.50000000000000000 },
1439   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1440           10.000000000000000, 0.60000000000000009 },
1441   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1442           10.000000000000000, 0.69999999999999996 },
1443   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1444           10.000000000000000, 0.80000000000000004 },
1445   { 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
1446           10.000000000000000, 0.89999999999999991 },
1447 };
1448 const double toler030 = 2.5000000000000020e-13;
1449
1450 // Test data for a=0.0000000000000000, b=20.000000000000000, c=2.0000000000000000.
1451 // max(|f - f_GSL|): 0.0000000000000000
1452 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1453 const testcase_hyperg<double>
1454 data031[19] =
1455 {
1456   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1457           2.0000000000000000, -0.90000000000000002 },
1458   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1459           2.0000000000000000, -0.80000000000000004 },
1460   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1461           2.0000000000000000, -0.69999999999999996 },
1462   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1463           2.0000000000000000, -0.59999999999999998 },
1464   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1465           2.0000000000000000, -0.50000000000000000 },
1466   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1467           2.0000000000000000, -0.40000000000000002 },
1468   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1469           2.0000000000000000, -0.30000000000000004 },
1470   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1471           2.0000000000000000, -0.19999999999999996 },
1472   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1473           2.0000000000000000, -0.099999999999999978 },
1474   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1475           2.0000000000000000, 0.0000000000000000 },
1476   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1477           2.0000000000000000, 0.10000000000000009 },
1478   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1479           2.0000000000000000, 0.19999999999999996 },
1480   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1481           2.0000000000000000, 0.30000000000000004 },
1482   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1483           2.0000000000000000, 0.39999999999999991 },
1484   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1485           2.0000000000000000, 0.50000000000000000 },
1486   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1487           2.0000000000000000, 0.60000000000000009 },
1488   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1489           2.0000000000000000, 0.69999999999999996 },
1490   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1491           2.0000000000000000, 0.80000000000000004 },
1492   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1493           2.0000000000000000, 0.89999999999999991 },
1494 };
1495 const double toler031 = 2.5000000000000020e-13;
1496
1497 // Test data for a=0.0000000000000000, b=20.000000000000000, c=4.0000000000000000.
1498 // max(|f - f_GSL|): 0.0000000000000000
1499 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1500 const testcase_hyperg<double>
1501 data032[19] =
1502 {
1503   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1504           4.0000000000000000, -0.90000000000000002 },
1505   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1506           4.0000000000000000, -0.80000000000000004 },
1507   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1508           4.0000000000000000, -0.69999999999999996 },
1509   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1510           4.0000000000000000, -0.59999999999999998 },
1511   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1512           4.0000000000000000, -0.50000000000000000 },
1513   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1514           4.0000000000000000, -0.40000000000000002 },
1515   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1516           4.0000000000000000, -0.30000000000000004 },
1517   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1518           4.0000000000000000, -0.19999999999999996 },
1519   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1520           4.0000000000000000, -0.099999999999999978 },
1521   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1522           4.0000000000000000, 0.0000000000000000 },
1523   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1524           4.0000000000000000, 0.10000000000000009 },
1525   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1526           4.0000000000000000, 0.19999999999999996 },
1527   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1528           4.0000000000000000, 0.30000000000000004 },
1529   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1530           4.0000000000000000, 0.39999999999999991 },
1531   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1532           4.0000000000000000, 0.50000000000000000 },
1533   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1534           4.0000000000000000, 0.60000000000000009 },
1535   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1536           4.0000000000000000, 0.69999999999999996 },
1537   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1538           4.0000000000000000, 0.80000000000000004 },
1539   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1540           4.0000000000000000, 0.89999999999999991 },
1541 };
1542 const double toler032 = 2.5000000000000020e-13;
1543
1544 // Test data for a=0.0000000000000000, b=20.000000000000000, c=6.0000000000000000.
1545 // max(|f - f_GSL|): 0.0000000000000000
1546 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1547 const testcase_hyperg<double>
1548 data033[19] =
1549 {
1550   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1551           6.0000000000000000, -0.90000000000000002 },
1552   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1553           6.0000000000000000, -0.80000000000000004 },
1554   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1555           6.0000000000000000, -0.69999999999999996 },
1556   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1557           6.0000000000000000, -0.59999999999999998 },
1558   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1559           6.0000000000000000, -0.50000000000000000 },
1560   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1561           6.0000000000000000, -0.40000000000000002 },
1562   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1563           6.0000000000000000, -0.30000000000000004 },
1564   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1565           6.0000000000000000, -0.19999999999999996 },
1566   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1567           6.0000000000000000, -0.099999999999999978 },
1568   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1569           6.0000000000000000, 0.0000000000000000 },
1570   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1571           6.0000000000000000, 0.10000000000000009 },
1572   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1573           6.0000000000000000, 0.19999999999999996 },
1574   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1575           6.0000000000000000, 0.30000000000000004 },
1576   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1577           6.0000000000000000, 0.39999999999999991 },
1578   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1579           6.0000000000000000, 0.50000000000000000 },
1580   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1581           6.0000000000000000, 0.60000000000000009 },
1582   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1583           6.0000000000000000, 0.69999999999999996 },
1584   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1585           6.0000000000000000, 0.80000000000000004 },
1586   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1587           6.0000000000000000, 0.89999999999999991 },
1588 };
1589 const double toler033 = 2.5000000000000020e-13;
1590
1591 // Test data for a=0.0000000000000000, b=20.000000000000000, c=8.0000000000000000.
1592 // max(|f - f_GSL|): 0.0000000000000000
1593 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1594 const testcase_hyperg<double>
1595 data034[19] =
1596 {
1597   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1598           8.0000000000000000, -0.90000000000000002 },
1599   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1600           8.0000000000000000, -0.80000000000000004 },
1601   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1602           8.0000000000000000, -0.69999999999999996 },
1603   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1604           8.0000000000000000, -0.59999999999999998 },
1605   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1606           8.0000000000000000, -0.50000000000000000 },
1607   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1608           8.0000000000000000, -0.40000000000000002 },
1609   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1610           8.0000000000000000, -0.30000000000000004 },
1611   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1612           8.0000000000000000, -0.19999999999999996 },
1613   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1614           8.0000000000000000, -0.099999999999999978 },
1615   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1616           8.0000000000000000, 0.0000000000000000 },
1617   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1618           8.0000000000000000, 0.10000000000000009 },
1619   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1620           8.0000000000000000, 0.19999999999999996 },
1621   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1622           8.0000000000000000, 0.30000000000000004 },
1623   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1624           8.0000000000000000, 0.39999999999999991 },
1625   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1626           8.0000000000000000, 0.50000000000000000 },
1627   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1628           8.0000000000000000, 0.60000000000000009 },
1629   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1630           8.0000000000000000, 0.69999999999999996 },
1631   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1632           8.0000000000000000, 0.80000000000000004 },
1633   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1634           8.0000000000000000, 0.89999999999999991 },
1635 };
1636 const double toler034 = 2.5000000000000020e-13;
1637
1638 // Test data for a=0.0000000000000000, b=20.000000000000000, c=10.000000000000000.
1639 // max(|f - f_GSL|): 0.0000000000000000
1640 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1641 const testcase_hyperg<double>
1642 data035[19] =
1643 {
1644   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1645           10.000000000000000, -0.90000000000000002 },
1646   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1647           10.000000000000000, -0.80000000000000004 },
1648   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1649           10.000000000000000, -0.69999999999999996 },
1650   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1651           10.000000000000000, -0.59999999999999998 },
1652   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1653           10.000000000000000, -0.50000000000000000 },
1654   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1655           10.000000000000000, -0.40000000000000002 },
1656   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1657           10.000000000000000, -0.30000000000000004 },
1658   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1659           10.000000000000000, -0.19999999999999996 },
1660   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1661           10.000000000000000, -0.099999999999999978 },
1662   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1663           10.000000000000000, 0.0000000000000000 },
1664   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1665           10.000000000000000, 0.10000000000000009 },
1666   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1667           10.000000000000000, 0.19999999999999996 },
1668   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1669           10.000000000000000, 0.30000000000000004 },
1670   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1671           10.000000000000000, 0.39999999999999991 },
1672   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1673           10.000000000000000, 0.50000000000000000 },
1674   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1675           10.000000000000000, 0.60000000000000009 },
1676   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1677           10.000000000000000, 0.69999999999999996 },
1678   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1679           10.000000000000000, 0.80000000000000004 },
1680   { 1.0000000000000000, 0.0000000000000000, 20.000000000000000,
1681           10.000000000000000, 0.89999999999999991 },
1682 };
1683 const double toler035 = 2.5000000000000020e-13;
1684
1685 // Test data for a=0.50000000000000000, b=0.0000000000000000, c=2.0000000000000000.
1686 // max(|f - f_GSL|): 0.0000000000000000
1687 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1688 const testcase_hyperg<double>
1689 data036[19] =
1690 {
1691   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1692           2.0000000000000000, -0.90000000000000002 },
1693   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1694           2.0000000000000000, -0.80000000000000004 },
1695   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1696           2.0000000000000000, -0.69999999999999996 },
1697   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1698           2.0000000000000000, -0.59999999999999998 },
1699   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1700           2.0000000000000000, -0.50000000000000000 },
1701   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1702           2.0000000000000000, -0.40000000000000002 },
1703   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1704           2.0000000000000000, -0.30000000000000004 },
1705   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1706           2.0000000000000000, -0.19999999999999996 },
1707   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1708           2.0000000000000000, -0.099999999999999978 },
1709   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1710           2.0000000000000000, 0.0000000000000000 },
1711   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1712           2.0000000000000000, 0.10000000000000009 },
1713   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1714           2.0000000000000000, 0.19999999999999996 },
1715   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1716           2.0000000000000000, 0.30000000000000004 },
1717   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1718           2.0000000000000000, 0.39999999999999991 },
1719   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1720           2.0000000000000000, 0.50000000000000000 },
1721   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1722           2.0000000000000000, 0.60000000000000009 },
1723   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1724           2.0000000000000000, 0.69999999999999996 },
1725   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1726           2.0000000000000000, 0.80000000000000004 },
1727   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1728           2.0000000000000000, 0.89999999999999991 },
1729 };
1730 const double toler036 = 2.5000000000000020e-13;
1731
1732 // Test data for a=0.50000000000000000, b=0.0000000000000000, c=4.0000000000000000.
1733 // max(|f - f_GSL|): 0.0000000000000000
1734 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1735 const testcase_hyperg<double>
1736 data037[19] =
1737 {
1738   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1739           4.0000000000000000, -0.90000000000000002 },
1740   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1741           4.0000000000000000, -0.80000000000000004 },
1742   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1743           4.0000000000000000, -0.69999999999999996 },
1744   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1745           4.0000000000000000, -0.59999999999999998 },
1746   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1747           4.0000000000000000, -0.50000000000000000 },
1748   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1749           4.0000000000000000, -0.40000000000000002 },
1750   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1751           4.0000000000000000, -0.30000000000000004 },
1752   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1753           4.0000000000000000, -0.19999999999999996 },
1754   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1755           4.0000000000000000, -0.099999999999999978 },
1756   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1757           4.0000000000000000, 0.0000000000000000 },
1758   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1759           4.0000000000000000, 0.10000000000000009 },
1760   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1761           4.0000000000000000, 0.19999999999999996 },
1762   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1763           4.0000000000000000, 0.30000000000000004 },
1764   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1765           4.0000000000000000, 0.39999999999999991 },
1766   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1767           4.0000000000000000, 0.50000000000000000 },
1768   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1769           4.0000000000000000, 0.60000000000000009 },
1770   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1771           4.0000000000000000, 0.69999999999999996 },
1772   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1773           4.0000000000000000, 0.80000000000000004 },
1774   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1775           4.0000000000000000, 0.89999999999999991 },
1776 };
1777 const double toler037 = 2.5000000000000020e-13;
1778
1779 // Test data for a=0.50000000000000000, b=0.0000000000000000, c=6.0000000000000000.
1780 // max(|f - f_GSL|): 0.0000000000000000
1781 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1782 const testcase_hyperg<double>
1783 data038[19] =
1784 {
1785   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1786           6.0000000000000000, -0.90000000000000002 },
1787   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1788           6.0000000000000000, -0.80000000000000004 },
1789   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1790           6.0000000000000000, -0.69999999999999996 },
1791   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1792           6.0000000000000000, -0.59999999999999998 },
1793   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1794           6.0000000000000000, -0.50000000000000000 },
1795   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1796           6.0000000000000000, -0.40000000000000002 },
1797   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1798           6.0000000000000000, -0.30000000000000004 },
1799   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1800           6.0000000000000000, -0.19999999999999996 },
1801   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1802           6.0000000000000000, -0.099999999999999978 },
1803   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1804           6.0000000000000000, 0.0000000000000000 },
1805   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1806           6.0000000000000000, 0.10000000000000009 },
1807   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1808           6.0000000000000000, 0.19999999999999996 },
1809   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1810           6.0000000000000000, 0.30000000000000004 },
1811   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1812           6.0000000000000000, 0.39999999999999991 },
1813   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1814           6.0000000000000000, 0.50000000000000000 },
1815   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1816           6.0000000000000000, 0.60000000000000009 },
1817   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1818           6.0000000000000000, 0.69999999999999996 },
1819   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1820           6.0000000000000000, 0.80000000000000004 },
1821   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1822           6.0000000000000000, 0.89999999999999991 },
1823 };
1824 const double toler038 = 2.5000000000000020e-13;
1825
1826 // Test data for a=0.50000000000000000, b=0.0000000000000000, c=8.0000000000000000.
1827 // max(|f - f_GSL|): 0.0000000000000000
1828 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1829 const testcase_hyperg<double>
1830 data039[19] =
1831 {
1832   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1833           8.0000000000000000, -0.90000000000000002 },
1834   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1835           8.0000000000000000, -0.80000000000000004 },
1836   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1837           8.0000000000000000, -0.69999999999999996 },
1838   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1839           8.0000000000000000, -0.59999999999999998 },
1840   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1841           8.0000000000000000, -0.50000000000000000 },
1842   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1843           8.0000000000000000, -0.40000000000000002 },
1844   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1845           8.0000000000000000, -0.30000000000000004 },
1846   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1847           8.0000000000000000, -0.19999999999999996 },
1848   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1849           8.0000000000000000, -0.099999999999999978 },
1850   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1851           8.0000000000000000, 0.0000000000000000 },
1852   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1853           8.0000000000000000, 0.10000000000000009 },
1854   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1855           8.0000000000000000, 0.19999999999999996 },
1856   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1857           8.0000000000000000, 0.30000000000000004 },
1858   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1859           8.0000000000000000, 0.39999999999999991 },
1860   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1861           8.0000000000000000, 0.50000000000000000 },
1862   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1863           8.0000000000000000, 0.60000000000000009 },
1864   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1865           8.0000000000000000, 0.69999999999999996 },
1866   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1867           8.0000000000000000, 0.80000000000000004 },
1868   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1869           8.0000000000000000, 0.89999999999999991 },
1870 };
1871 const double toler039 = 2.5000000000000020e-13;
1872
1873 // Test data for a=0.50000000000000000, b=0.0000000000000000, c=10.000000000000000.
1874 // max(|f - f_GSL|): 0.0000000000000000
1875 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
1876 const testcase_hyperg<double>
1877 data040[19] =
1878 {
1879   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1880           10.000000000000000, -0.90000000000000002 },
1881   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1882           10.000000000000000, -0.80000000000000004 },
1883   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1884           10.000000000000000, -0.69999999999999996 },
1885   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1886           10.000000000000000, -0.59999999999999998 },
1887   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1888           10.000000000000000, -0.50000000000000000 },
1889   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1890           10.000000000000000, -0.40000000000000002 },
1891   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1892           10.000000000000000, -0.30000000000000004 },
1893   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1894           10.000000000000000, -0.19999999999999996 },
1895   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1896           10.000000000000000, -0.099999999999999978 },
1897   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1898           10.000000000000000, 0.0000000000000000 },
1899   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1900           10.000000000000000, 0.10000000000000009 },
1901   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1902           10.000000000000000, 0.19999999999999996 },
1903   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1904           10.000000000000000, 0.30000000000000004 },
1905   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1906           10.000000000000000, 0.39999999999999991 },
1907   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1908           10.000000000000000, 0.50000000000000000 },
1909   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1910           10.000000000000000, 0.60000000000000009 },
1911   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1912           10.000000000000000, 0.69999999999999996 },
1913   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1914           10.000000000000000, 0.80000000000000004 },
1915   { 1.0000000000000000, 0.50000000000000000, 0.0000000000000000,
1916           10.000000000000000, 0.89999999999999991 },
1917 };
1918 const double toler040 = 2.5000000000000020e-13;
1919
1920 // Test data for a=0.50000000000000000, b=0.50000000000000000, c=2.0000000000000000.
1921 // max(|f - f_GSL|): 2.2204460492503131e-16
1922 // max(|f - f_GSL| / |f_GSL|): 2.2734148235941270e-16
1923 const testcase_hyperg<double>
1924 data041[19] =
1925 {
1926   { 0.91383715388743736, 0.50000000000000000, 0.50000000000000000,
1927           2.0000000000000000, -0.90000000000000002 },
1928   { 0.92151232618202372, 0.50000000000000000, 0.50000000000000000,
1929           2.0000000000000000, -0.80000000000000004 },
1930   { 0.92955086110354845, 0.50000000000000000, 0.50000000000000000,
1931           2.0000000000000000, -0.69999999999999996 },
1932   { 0.93798900119104855, 0.50000000000000000, 0.50000000000000000,
1933           2.0000000000000000, -0.59999999999999998 },
1934   { 0.94686887307107392, 0.50000000000000000, 0.50000000000000000,
1935           2.0000000000000000, -0.50000000000000000 },
1936   { 0.95623987262143295, 0.50000000000000000, 0.50000000000000000,
1937           2.0000000000000000, -0.40000000000000002 },
1938   { 0.96616049387450131, 0.50000000000000000, 0.50000000000000000,
1939           2.0000000000000000, -0.30000000000000004 },
1940   { 0.97670078782187519, 0.50000000000000000, 0.50000000000000000,
1941           2.0000000000000000, -0.19999999999999996 },
1942   { 0.98794573712298384, 0.50000000000000000, 0.50000000000000000,
1943           2.0000000000000000, -0.099999999999999978 },
1944   { 1.0000000000000000, 0.50000000000000000, 0.50000000000000000,
1945           2.0000000000000000, 0.0000000000000000 },
1946   { 1.0129947682256604, 0.50000000000000000, 0.50000000000000000,
1947           2.0000000000000000, 0.10000000000000009 },
1948   { 1.0270980168168973, 0.50000000000000000, 0.50000000000000000,
1949           2.0000000000000000, 0.19999999999999996 },
1950   { 1.0425304520063581, 0.50000000000000000, 0.50000000000000000,
1951           2.0000000000000000, 0.30000000000000004 },
1952   { 1.0595915916161471, 0.50000000000000000, 0.50000000000000000,
1953           2.0000000000000000, 0.39999999999999991 },
1954   { 1.0787052023767585, 0.50000000000000000, 0.50000000000000000,
1955           2.0000000000000000, 0.50000000000000000 },
1956   { 1.1005053642285867, 0.50000000000000000, 0.50000000000000000,
1957           2.0000000000000000, 0.60000000000000009 },
1958   { 1.1260196351148746, 0.50000000000000000, 0.50000000000000000,
1959           2.0000000000000000, 0.69999999999999996 },
1960   { 1.1571341977338991, 0.50000000000000000, 0.50000000000000000,
1961           2.0000000000000000, 0.80000000000000004 },
1962   { 1.1982111053717450, 0.50000000000000000, 0.50000000000000000,
1963           2.0000000000000000, 0.89999999999999991 },
1964 };
1965 const double toler041 = 2.5000000000000020e-13;
1966
1967 // Test data for a=0.50000000000000000, b=0.50000000000000000, c=4.0000000000000000.
1968 // max(|f - f_GSL|): 2.2204460492503131e-16
1969 // max(|f - f_GSL| / |f_GSL|): 2.2341054918357306e-16
1970 const testcase_hyperg<double>
1971 data042[19] =
1972 {
1973   { 0.95255425675562699, 0.50000000000000000, 0.50000000000000000,
1974           4.0000000000000000, -0.90000000000000002 },
1975   { 0.95712841850078267, 0.50000000000000000, 0.50000000000000000,
1976           4.0000000000000000, -0.80000000000000004 },
1977   { 0.96184734120034554, 0.50000000000000000, 0.50000000000000000,
1978           4.0000000000000000, -0.69999999999999996 },
1979   { 0.96672141255196176, 0.50000000000000000, 0.50000000000000000,
1980           4.0000000000000000, -0.59999999999999998 },
1981   { 0.97176228710138646, 0.50000000000000000, 0.50000000000000000,
1982           4.0000000000000000, -0.50000000000000000 },
1983   { 0.97698311668286320, 0.50000000000000000, 0.50000000000000000,
1984           4.0000000000000000, -0.40000000000000002 },
1985   { 0.98239883902556036, 0.50000000000000000, 0.50000000000000000,
1986           4.0000000000000000, -0.30000000000000004 },
1987   { 0.98802654401961032, 0.50000000000000000, 0.50000000000000000,
1988           4.0000000000000000, -0.19999999999999996 },
1989   { 0.99388594556732701, 0.50000000000000000, 0.50000000000000000,
1990           4.0000000000000000, -0.099999999999999978 },
1991   { 1.0000000000000000, 0.50000000000000000, 0.50000000000000000,
1992           4.0000000000000000, 0.0000000000000000 },
1993   { 1.0063957328951061, 0.50000000000000000, 0.50000000000000000,
1994           4.0000000000000000, 0.10000000000000009 },
1995   { 1.0131053706824598, 0.50000000000000000, 0.50000000000000000,
1996           4.0000000000000000, 0.19999999999999996 },
1997   { 1.0201679332118803, 0.50000000000000000, 0.50000000000000000,
1998           4.0000000000000000, 0.30000000000000004 },
1999   { 1.0276315524377497, 0.50000000000000000, 0.50000000000000000,
2000           4.0000000000000000, 0.39999999999999991 },
2001   { 1.0355569942816882, 0.50000000000000000, 0.50000000000000000,
2002           4.0000000000000000, 0.50000000000000000 },
2003   { 1.0440233080381554, 0.50000000000000000, 0.50000000000000000,
2004           4.0000000000000000, 0.60000000000000009 },
2005   { 1.0531375808028993, 0.50000000000000000, 0.50000000000000000,
2006           4.0000000000000000, 0.69999999999999996 },
2007   { 1.0630536689840200, 0.50000000000000000, 0.50000000000000000,
2008           4.0000000000000000, 0.80000000000000004 },
2009   { 1.0740149570414563, 0.50000000000000000, 0.50000000000000000,
2010           4.0000000000000000, 0.89999999999999991 },
2011 };
2012 const double toler042 = 2.5000000000000020e-13;
2013
2014 // Test data for a=0.50000000000000000, b=0.50000000000000000, c=6.0000000000000000.
2015 // max(|f - f_GSL|): 5.5511151231257827e-16
2016 // max(|f - f_GSL| / |f_GSL|): 5.5963253065363064e-16
2017 const testcase_hyperg<double>
2018 data043[19] =
2019 {
2020   { 0.96694084713323880, 0.50000000000000000, 0.50000000000000000,
2021           6.0000000000000000, -0.90000000000000002 },
2022   { 0.97024454918852632, 0.50000000000000000, 0.50000000000000000,
2023           6.0000000000000000, -0.80000000000000004 },
2024   { 0.97362815600391439, 0.50000000000000000, 0.50000000000000000,
2025           6.0000000000000000, -0.69999999999999996 },
2026   { 0.97709622064205104, 0.50000000000000000, 0.50000000000000000,
2027           6.0000000000000000, -0.59999999999999998 },
2028   { 0.98065374770570635, 0.50000000000000000, 0.50000000000000000,
2029           6.0000000000000000, -0.50000000000000000 },
2030   { 0.98430626119885511, 0.50000000000000000, 0.50000000000000000,
2031           6.0000000000000000, -0.40000000000000002 },
2032   { 0.98805988669621048, 0.50000000000000000, 0.50000000000000000,
2033           6.0000000000000000, -0.30000000000000004 },
2034   { 0.99192145185739655, 0.50000000000000000, 0.50000000000000000,
2035           6.0000000000000000, -0.19999999999999996 },
2036   { 0.99589861079880937, 0.50000000000000000, 0.50000000000000000,
2037           6.0000000000000000, -0.099999999999999978 },
2038   { 1.0000000000000000, 0.50000000000000000, 0.50000000000000000,
2039           6.0000000000000000, 0.0000000000000000 },
2040   { 1.0042354366729904, 0.50000000000000000, 0.50000000000000000,
2041           6.0000000000000000, 0.10000000000000009 },
2042   { 1.0086161755545404, 0.50000000000000000, 0.50000000000000000,
2043           6.0000000000000000, 0.19999999999999996 },
2044   { 1.0131552481403503, 0.50000000000000000, 0.50000000000000000,
2045           6.0000000000000000, 0.30000000000000004 },
2046   { 1.0178679218284707, 0.50000000000000000, 0.50000000000000000,
2047           6.0000000000000000, 0.39999999999999991 },
2048   { 1.0227723400312978, 0.50000000000000000, 0.50000000000000000,
2049           6.0000000000000000, 0.50000000000000000 },
2050   { 1.0278904483717863, 0.50000000000000000, 0.50000000000000000,
2051           6.0000000000000000, 0.60000000000000009 },
2052   { 1.0332494012993472, 0.50000000000000000, 0.50000000000000000,
2053           6.0000000000000000, 0.69999999999999996 },
2054   { 1.0388838453357794, 0.50000000000000000, 0.50000000000000000,
2055           6.0000000000000000, 0.80000000000000004 },
2056   { 1.0448400142331342, 0.50000000000000000, 0.50000000000000000,
2057           6.0000000000000000, 0.89999999999999991 },
2058 };
2059 const double toler043 = 2.5000000000000020e-13;
2060
2061 // Test data for a=0.50000000000000000, b=0.50000000000000000, c=8.0000000000000000.
2062 // max(|f - f_GSL|): 3.3306690738754696e-16
2063 // max(|f - f_GSL| / |f_GSL|): 3.3511105824376917e-16
2064 const testcase_hyperg<double>
2065 data044[19] =
2066 {
2067   { 0.97456073259047449, 0.50000000000000000, 0.50000000000000000,
2068           8.0000000000000000, -0.90000000000000002 },
2069   { 0.97715689327833399, 0.50000000000000000, 0.50000000000000000,
2070           8.0000000000000000, -0.80000000000000004 },
2071   { 0.97980416868943110, 0.50000000000000000, 0.50000000000000000,
2072           8.0000000000000000, -0.69999999999999996 },
2073   { 0.98250498942832487, 0.50000000000000000, 0.50000000000000000,
2074           8.0000000000000000, -0.59999999999999998 },
2075   { 0.98526199049760810, 0.50000000000000000, 0.50000000000000000,
2076           8.0000000000000000, -0.50000000000000000 },
2077   { 0.98807803762902791, 0.50000000000000000, 0.50000000000000000,
2078           8.0000000000000000, -0.40000000000000002 },
2079   { 0.99095625840920321, 0.50000000000000000, 0.50000000000000000,
2080           8.0000000000000000, -0.30000000000000004 },
2081   { 0.99390007937387959, 0.50000000000000000, 0.50000000000000000,
2082           8.0000000000000000, -0.19999999999999996 },
2083   { 0.99691327061866730, 0.50000000000000000, 0.50000000000000000,
2084           8.0000000000000000, -0.099999999999999978 },
2085   { 1.0000000000000000, 0.50000000000000000, 0.50000000000000000,
2086           8.0000000000000000, 0.0000000000000000 },
2087   { 1.0031648997547440, 0.50000000000000000, 0.50000000000000000,
2088           8.0000000000000000, 0.10000000000000009 },
2089   { 1.0064131494767281, 0.50000000000000000, 0.50000000000000000,
2090           8.0000000000000000, 0.19999999999999996 },
2091   { 1.0097505810668461, 0.50000000000000000, 0.50000000000000000,
2092           8.0000000000000000, 0.30000000000000004 },
2093   { 1.0131838138968663, 0.50000000000000000, 0.50000000000000000,
2094           8.0000000000000000, 0.39999999999999991 },
2095   { 1.0167204326938339, 0.50000000000000000, 0.50000000000000000,
2096           8.0000000000000000, 0.50000000000000000 },
2097   { 1.0203692279382193, 0.50000000000000000, 0.50000000000000000,
2098           8.0000000000000000, 0.60000000000000009 },
2099   { 1.0241405318057402, 0.50000000000000000, 0.50000000000000000,
2100           8.0000000000000000, 0.69999999999999996 },
2101   { 1.0280467087844301, 0.50000000000000000, 0.50000000000000000,
2102           8.0000000000000000, 0.80000000000000004 },
2103   { 1.0321029179180026, 0.50000000000000000, 0.50000000000000000,
2104           8.0000000000000000, 0.89999999999999991 },
2105 };
2106 const double toler044 = 2.5000000000000020e-13;
2107
2108 // Test data for a=0.50000000000000000, b=0.50000000000000000, c=10.000000000000000.
2109 // max(|f - f_GSL|): 2.2204460492503131e-16
2110 // max(|f - f_GSL| / |f_GSL|): 2.1915128876304698e-16
2111 const testcase_hyperg<double>
2112 data045[19] =
2113 {
2114   { 0.97930223035212138, 0.50000000000000000, 0.50000000000000000,
2115           10.000000000000000, -0.90000000000000002 },
2116   { 0.98144406855076427, 0.50000000000000000, 0.50000000000000000,
2117           10.000000000000000, -0.80000000000000004 },
2118   { 0.98362155940297280, 0.50000000000000000, 0.50000000000000000,
2119           10.000000000000000, -0.69999999999999996 },
2120   { 0.98583616201745783, 0.50000000000000000, 0.50000000000000000,
2121           10.000000000000000, -0.59999999999999998 },
2122   { 0.98808944235385032, 0.50000000000000000, 0.50000000000000000,
2123           10.000000000000000, -0.50000000000000000 },
2124   { 0.99038308530635433, 0.50000000000000000, 0.50000000000000000,
2125           10.000000000000000, -0.40000000000000002 },
2126   { 0.99271890872975710, 0.50000000000000000, 0.50000000000000000,
2127           10.000000000000000, -0.30000000000000004 },
2128   { 0.99509887982916734, 0.50000000000000000, 0.50000000000000000,
2129           10.000000000000000, -0.19999999999999996 },
2130   { 0.99752513445413604, 0.50000000000000000, 0.50000000000000000,
2131           10.000000000000000, -0.099999999999999978 },
2132   { 1.0000000000000000, 0.50000000000000000, 0.50000000000000000,
2133           10.000000000000000, 0.0000000000000000 },
2134   { 1.0025260228440118, 0.50000000000000000, 0.50000000000000000,
2135           10.000000000000000, 0.10000000000000009 },
2136   { 1.0051060015613384, 0.50000000000000000, 0.50000000000000000,
2137           10.000000000000000, 0.19999999999999996 },
2138   { 1.0077430276253163, 0.50000000000000000, 0.50000000000000000,
2139           10.000000000000000, 0.30000000000000004 },
2140   { 1.0104405359789990, 0.50000000000000000, 0.50000000000000000,
2141           10.000000000000000, 0.39999999999999991 },
2142   { 1.0132023689128868, 0.50000000000000000, 0.50000000000000000,
2143           10.000000000000000, 0.50000000000000000 },
2144   { 1.0160328583559475, 0.50000000000000000, 0.50000000000000000,
2145           10.000000000000000, 0.60000000000000009 },
2146   { 1.0189369344885053, 0.50000000000000000, 0.50000000000000000,
2147           10.000000000000000, 0.69999999999999996 },
2148   { 1.0219202735809589, 0.50000000000000000, 0.50000000000000000,
2149           10.000000000000000, 0.80000000000000004 },
2150   { 1.0249895076611382, 0.50000000000000000, 0.50000000000000000,
2151           10.000000000000000, 0.89999999999999991 },
2152 };
2153 const double toler045 = 2.5000000000000020e-13;
2154
2155 // Test data for a=0.50000000000000000, b=1.0000000000000000, c=2.0000000000000000.
2156 // max(|f - f_GSL|): 6.6613381477509392e-16
2157 // max(|f - f_GSL| / |f_GSL|): 4.3839191144484910e-16
2158 const testcase_hyperg<double>
2159 data046[19] =
2160 {
2161   { 0.84089972268671531, 0.50000000000000000, 1.0000000000000000,
2162           2.0000000000000000, -0.90000000000000002 },
2163   { 0.85410196624968460, 0.50000000000000000, 1.0000000000000000,
2164           2.0000000000000000, -0.80000000000000004 },
2165   { 0.86811566011579955, 0.50000000000000000, 1.0000000000000000,
2166           2.0000000000000000, -0.69999999999999996 },
2167   { 0.88303688022450522, 0.50000000000000000, 1.0000000000000000,
2168           2.0000000000000000, -0.59999999999999998 },
2169   { 0.89897948556635621, 0.50000000000000000, 1.0000000000000000,
2170           2.0000000000000000, -0.50000000000000000 },
2171   { 0.91607978309961580, 0.50000000000000000, 1.0000000000000000,
2172           2.0000000000000000, -0.40000000000000002 },
2173   { 0.93450283399425305, 0.50000000000000000, 1.0000000000000000,
2174           2.0000000000000000, -0.30000000000000004 },
2175   { 0.95445115010332193, 0.50000000000000000, 1.0000000000000000,
2176           2.0000000000000000, -0.19999999999999996 },
2177   { 0.97617696340303095, 0.50000000000000000, 1.0000000000000000,
2178           2.0000000000000000, -0.099999999999999978 },
2179   { 1.0000000000000000, 0.50000000000000000, 1.0000000000000000,
2180           2.0000000000000000, 0.0000000000000000 },
2181   { 1.0263340389897240, 0.50000000000000000, 1.0000000000000000,
2182           2.0000000000000000, 0.10000000000000009 },
2183   { 1.0557280900008410, 0.50000000000000000, 1.0000000000000000,
2184           2.0000000000000000, 0.19999999999999996 },
2185   { 1.0889331564394962, 0.50000000000000000, 1.0000000000000000,
2186           2.0000000000000000, 0.30000000000000004 },
2187   { 1.1270166537925830, 0.50000000000000000, 1.0000000000000000,
2188           2.0000000000000000, 0.39999999999999991 },
2189   { 1.1715728752538095, 0.50000000000000000, 1.0000000000000000,
2190           2.0000000000000000, 0.50000000000000000 },
2191   { 1.2251482265544145, 0.50000000000000000, 1.0000000000000000,
2192           2.0000000000000000, 0.60000000000000009 },
2193   { 1.2922212642709541, 0.50000000000000000, 1.0000000000000000,
2194           2.0000000000000000, 0.69999999999999996 },
2195   { 1.3819660112501042, 0.50000000000000000, 1.0000000000000000,
2196           2.0000000000000000, 0.80000000000000004 },
2197   { 1.5194938532959119, 0.50000000000000000, 1.0000000000000000,
2198           2.0000000000000000, 0.89999999999999991 },
2199 };
2200 const double toler046 = 2.5000000000000020e-13;
2201
2202 // Test data for a=0.50000000000000000, b=1.0000000000000000, c=4.0000000000000000.
2203 // max(|f - f_GSL|): 2.2204460492503131e-16
2204 // max(|f - f_GSL| / |f_GSL|): 2.1628301908162427e-16
2205 const testcase_hyperg<double>
2206 data047[19] =
2207 {
2208   { 0.90992197313391454, 0.50000000000000000, 1.0000000000000000,
2209           4.0000000000000000, -0.90000000000000002 },
2210   { 0.91822592662244484, 0.50000000000000000, 1.0000000000000000,
2211           4.0000000000000000, -0.80000000000000004 },
2212   { 0.92687104566419554, 0.50000000000000000, 1.0000000000000000,
2213           4.0000000000000000, -0.69999999999999996 },
2214   { 0.93588628166548848, 0.50000000000000000, 1.0000000000000000,
2215           4.0000000000000000, -0.59999999999999998 },
2216   { 0.94530459215552909, 0.50000000000000000, 1.0000000000000000,
2217           4.0000000000000000, -0.50000000000000000 },
2218   { 0.95516374875247456, 0.50000000000000000, 1.0000000000000000,
2219           4.0000000000000000, -0.40000000000000002 },
2220   { 0.96550736800511849, 0.50000000000000000, 1.0000000000000000,
2221           4.0000000000000000, -0.30000000000000004 },
2222   { 0.97638624595136270, 0.50000000000000000, 1.0000000000000000,
2223           4.0000000000000000, -0.19999999999999996 },
2224   { 0.98786011482678993, 0.50000000000000000, 1.0000000000000000,
2225           4.0000000000000000, -0.099999999999999978 },
2226   { 1.0000000000000000, 0.50000000000000000, 1.0000000000000000,
2227           4.0000000000000000, 0.0000000000000000 },
2228   { 1.0128914530682316, 0.50000000000000000, 1.0000000000000000,
2229           4.0000000000000000, 0.10000000000000009 },
2230   { 1.0266391040215350, 0.50000000000000000, 1.0000000000000000,
2231           4.0000000000000000, 0.19999999999999996 },
2232   { 1.0413732738729464, 0.50000000000000000, 1.0000000000000000,
2233           4.0000000000000000, 0.30000000000000004 },
2234   { 1.0572599536532992, 0.50000000000000000, 1.0000000000000000,
2235           4.0000000000000000, 0.39999999999999991 },
2236   { 1.0745166004060953, 0.50000000000000000, 1.0000000000000000,
2237           4.0000000000000000, 0.50000000000000000 },
2238   { 1.0934387388831386, 0.50000000000000000, 1.0000000000000000,
2239           4.0000000000000000, 0.60000000000000009 },
2240   { 1.1144486980714641, 0.50000000000000000, 1.0000000000000000,
2241           4.0000000000000000, 0.69999999999999996 },
2242   { 1.1381966011250106, 0.50000000000000000, 1.0000000000000000,
2243           4.0000000000000000, 0.80000000000000004 },
2244   { 1.1658171625342397, 0.50000000000000000, 1.0000000000000000,
2245           4.0000000000000000, 0.89999999999999991 },
2246 };
2247 const double toler047 = 2.5000000000000020e-13;
2248
2249 // Test data for a=0.50000000000000000, b=1.0000000000000000, c=6.0000000000000000.
2250 // max(|f - f_GSL|): 4.4408920985006262e-16
2251 // max(|f - f_GSL| / |f_GSL|): 4.5130734546221216e-16
2252 const testcase_hyperg<double>
2253 data048[19] =
2254 {
2255   { 0.93641908369732896, 0.50000000000000000, 1.0000000000000000,
2256           6.0000000000000000, -0.90000000000000002 },
2257   { 0.94256349654111271, 0.50000000000000000, 1.0000000000000000,
2258           6.0000000000000000, -0.80000000000000004 },
2259   { 0.94890138508461319, 0.50000000000000000, 1.0000000000000000,
2260           6.0000000000000000, -0.69999999999999996 },
2261   { 0.95544578858430029, 0.50000000000000000, 1.0000000000000000,
2262           6.0000000000000000, -0.59999999999999998 },
2263   { 0.96221121193620762, 0.50000000000000000, 1.0000000000000000,
2264           6.0000000000000000, -0.50000000000000000 },
2265   { 0.96921386948293542, 0.50000000000000000, 1.0000000000000000,
2266           6.0000000000000000, -0.40000000000000002 },
2267   { 0.97647198488394704, 0.50000000000000000, 1.0000000000000000,
2268           6.0000000000000000, -0.30000000000000004 },
2269   { 0.98400616412578656, 0.50000000000000000, 1.0000000000000000,
2270           6.0000000000000000, -0.19999999999999996 },
2271   { 0.99183986544963032, 0.50000000000000000, 1.0000000000000000,
2272           6.0000000000000000, -0.099999999999999978 },
2273   { 1.0000000000000000, 0.50000000000000000, 1.0000000000000000,
2274           6.0000000000000000, 0.0000000000000000 },
2275   { 1.0085177124149158, 0.50000000000000000, 1.0000000000000000,
2276           6.0000000000000000, 0.10000000000000009 },
2277   { 1.0174294150407122, 0.50000000000000000, 1.0000000000000000,
2278           6.0000000000000000, 0.19999999999999996 },
2279   { 1.0267781897388850, 0.50000000000000000, 1.0000000000000000,
2280           6.0000000000000000, 0.30000000000000004 },
2281   { 1.0366157405967285, 0.50000000000000000, 1.0000000000000000,
2282           6.0000000000000000, 0.39999999999999991 },
2283   { 1.0470052068648839, 0.50000000000000000, 1.0000000000000000,
2284           6.0000000000000000, 0.50000000000000000 },
2285   { 1.0580253905513313, 0.50000000000000000, 1.0000000000000000,
2286           6.0000000000000000, 0.60000000000000009 },
2287   { 1.0697774741209765, 0.50000000000000000, 1.0000000000000000,
2288           6.0000000000000000, 0.69999999999999996 },
2289   { 1.0823965556448414, 0.50000000000000000, 1.0000000000000000,
2290           6.0000000000000000, 0.80000000000000004 },
2291   { 1.0960739512057103, 0.50000000000000000, 1.0000000000000000,
2292           6.0000000000000000, 0.89999999999999991 },
2293 };
2294 const double toler048 = 2.5000000000000020e-13;
2295
2296 // Test data for a=0.50000000000000000, b=1.0000000000000000, c=8.0000000000000000.
2297 // max(|f - f_GSL|): 4.4408920985006262e-16
2298 // max(|f - f_GSL| / |f_GSL|): 4.4952983921284566e-16
2299 const testcase_hyperg<double>
2300 data049[19] =
2301 {
2302   { 0.95069883346936235, 0.50000000000000000, 1.0000000000000000,
2303           8.0000000000000000, -0.90000000000000002 },
2304   { 0.95559618047704131, 0.50000000000000000, 1.0000000000000000,
2305           8.0000000000000000, -0.80000000000000004 },
2306   { 0.96061938755931664, 0.50000000000000000, 1.0000000000000000,
2307           8.0000000000000000, -0.69999999999999996 },
2308   { 0.96577553912851333, 0.50000000000000000, 1.0000000000000000,
2309           8.0000000000000000, -0.59999999999999998 },
2310   { 0.97107239473807716, 0.50000000000000000, 1.0000000000000000,
2311           8.0000000000000000, -0.50000000000000000 },
2312   { 0.97651848528588481, 0.50000000000000000, 1.0000000000000000,
2313           8.0000000000000000, -0.40000000000000002 },
2314   { 0.98212322830227150, 0.50000000000000000, 1.0000000000000000,
2315           8.0000000000000000, -0.30000000000000004 },
2316   { 0.98789706736195781, 0.50000000000000000, 1.0000000000000000,
2317           8.0000000000000000, -0.19999999999999996 },
2318   { 0.99385164237825074, 0.50000000000000000, 1.0000000000000000,
2319           8.0000000000000000, -0.099999999999999978 },
2320   { 1.0000000000000000, 0.50000000000000000, 1.0000000000000000,
2321           8.0000000000000000, 0.0000000000000000 },
2322   { 1.0063568569383123, 0.50000000000000000, 1.0000000000000000,
2323           8.0000000000000000, 0.10000000000000009 },
2324   { 1.0129389344715818, 0.50000000000000000, 1.0000000000000000,
2325           8.0000000000000000, 0.19999999999999996 },
2326   { 1.0197653907773940, 0.50000000000000000, 1.0000000000000000,
2327           8.0000000000000000, 0.30000000000000004 },
2328   { 1.0268583912277143, 0.50000000000000000, 1.0000000000000000,
2329           8.0000000000000000, 0.39999999999999991 },
2330   { 1.0342438793937092, 0.50000000000000000, 1.0000000000000000,
2331           8.0000000000000000, 0.50000000000000000 },
2332   { 1.0419526514766855, 0.50000000000000000, 1.0000000000000000,
2333           8.0000000000000000, 0.60000000000000009 },
2334   { 1.0500219124976327, 0.50000000000000000, 1.0000000000000000,
2335           8.0000000000000000, 0.69999999999999996 },
2336   { 1.0584976491907043, 0.50000000000000000, 1.0000000000000000,
2337           8.0000000000000000, 0.80000000000000004 },
2338   { 1.0674385240268101, 0.50000000000000000, 1.0000000000000000,
2339           8.0000000000000000, 0.89999999999999991 },
2340 };
2341 const double toler049 = 2.5000000000000020e-13;
2342
2343 // Test data for a=0.50000000000000000, b=1.0000000000000000, c=10.000000000000000.
2344 // max(|f - f_GSL|): 2.2204460492503131e-16
2345 // max(|f - f_GSL| / |f_GSL|): 2.2314542629443562e-16
2346 const testcase_hyperg<double>
2347 data050[19] =
2348 {
2349   { 0.95968319138913905, 0.50000000000000000, 1.0000000000000000,
2350           10.000000000000000, -0.90000000000000002 },
2351   { 0.96376169072755802, 0.50000000000000000, 1.0000000000000000,
2352           10.000000000000000, -0.80000000000000004 },
2353   { 0.96792900082729372, 0.50000000000000000, 1.0000000000000000,
2354           10.000000000000000, -0.69999999999999996 },
2355   { 0.97218942798115737, 0.50000000000000000, 1.0000000000000000,
2356           10.000000000000000, -0.59999999999999998 },
2357   { 0.97654763592586835, 0.50000000000000000, 1.0000000000000000,
2358           10.000000000000000, -0.50000000000000000 },
2359   { 0.98100869054353879, 0.50000000000000000, 1.0000000000000000,
2360           10.000000000000000, -0.40000000000000002 },
2361   { 0.98557811238699278, 0.50000000000000000, 1.0000000000000000,
2362           10.000000000000000, -0.30000000000000004 },
2363   { 0.99026193885795544, 0.50000000000000000, 1.0000000000000000,
2364           10.000000000000000, -0.19999999999999996 },
2365   { 0.99506679842072221, 0.50000000000000000, 1.0000000000000000,
2366           10.000000000000000, -0.099999999999999978 },
2367   { 1.0000000000000000, 0.50000000000000000, 1.0000000000000000,
2368           10.000000000000000, 0.0000000000000000 },
2369   { 1.0050696417919618, 0.50000000000000000, 1.0000000000000000,
2370           10.000000000000000, 0.10000000000000009 },
2371   { 1.0102847452747090, 0.50000000000000000, 1.0000000000000000,
2372           10.000000000000000, 0.19999999999999996 },
2373   { 1.0156554225057022, 0.50000000000000000, 1.0000000000000000,
2374           10.000000000000000, 0.30000000000000004 },
2375   { 1.0211930882963096, 0.50000000000000000, 1.0000000000000000,
2376           10.000000000000000, 0.39999999999999991 },
2377   { 1.0269107343740711, 0.50000000000000000, 1.0000000000000000,
2378           10.000000000000000, 0.50000000000000000 },
2379   { 1.0328232917216298, 0.50000000000000000, 1.0000000000000000,
2380           10.000000000000000, 0.60000000000000009 },
2381   { 1.0389481230247195, 0.50000000000000000, 1.0000000000000000,
2382           10.000000000000000, 0.69999999999999996 },
2383   { 1.0453057164134614, 0.50000000000000000, 1.0000000000000000,
2384           10.000000000000000, 0.80000000000000004 },
2385   { 1.0519207114461246, 0.50000000000000000, 1.0000000000000000,
2386           10.000000000000000, 0.89999999999999991 },
2387 };
2388 const double toler050 = 2.5000000000000020e-13;
2389
2390 // Test data for a=0.50000000000000000, b=2.0000000000000000, c=2.0000000000000000.
2391 // max(|f - f_GSL|): 4.4408920985006262e-16
2392 // max(|f - f_GSL| / |f_GSL|): 1.5700924586837752e-16
2393 const testcase_hyperg<double>
2394 data051[19] =
2395 {
2396   { 0.72547625011001171, 0.50000000000000000, 2.0000000000000000,
2397           2.0000000000000000, -0.90000000000000002 },
2398   { 0.74535599249992990, 0.50000000000000000, 2.0000000000000000,
2399           2.0000000000000000, -0.80000000000000004 },
2400   { 0.76696498884737041, 0.50000000000000000, 2.0000000000000000,
2401           2.0000000000000000, -0.69999999999999996 },
2402   { 0.79056941504209477, 0.50000000000000000, 2.0000000000000000,
2403           2.0000000000000000, -0.59999999999999998 },
2404   { 0.81649658092772603, 0.50000000000000000, 2.0000000000000000,
2405           2.0000000000000000, -0.50000000000000000 },
2406   { 0.84515425472851657, 0.50000000000000000, 2.0000000000000000,
2407           2.0000000000000000, -0.40000000000000002 },
2408   { 0.87705801930702920, 0.50000000000000000, 2.0000000000000000,
2409           2.0000000000000000, -0.30000000000000004 },
2410   { 0.91287092917527690, 0.50000000000000000, 2.0000000000000000,
2411           2.0000000000000000, -0.19999999999999996 },
2412   { 0.95346258924559224, 0.50000000000000000, 2.0000000000000000,
2413           2.0000000000000000, -0.099999999999999978 },
2414   { 1.0000000000000000, 0.50000000000000000, 2.0000000000000000,
2415           2.0000000000000000, 0.0000000000000000 },
2416   { 1.0540925533894598, 0.50000000000000000, 2.0000000000000000,
2417           2.0000000000000000, 0.10000000000000009 },
2418   { 1.1180339887498949, 0.50000000000000000, 2.0000000000000000,
2419           2.0000000000000000, 0.19999999999999996 },
2420   { 1.1952286093343938, 0.50000000000000000, 2.0000000000000000,
2421           2.0000000000000000, 0.30000000000000004 },
2422   { 1.2909944487358056, 0.50000000000000000, 2.0000000000000000,
2423           2.0000000000000000, 0.39999999999999991 },
2424   { 1.4142135623730949, 0.50000000000000000, 2.0000000000000000,
2425           2.0000000000000000, 0.50000000000000000 },
2426   { 1.5811388300841900, 0.50000000000000000, 2.0000000000000000,
2427           2.0000000000000000, 0.60000000000000009 },
2428   { 1.8257418583505536, 0.50000000000000000, 2.0000000000000000,
2429           2.0000000000000000, 0.69999999999999996 },
2430   { 2.2360679774997898, 0.50000000000000000, 2.0000000000000000,
2431           2.0000000000000000, 0.80000000000000004 },
2432   { 3.1622776601683782, 0.50000000000000000, 2.0000000000000000,
2433           2.0000000000000000, 0.89999999999999991 },
2434 };
2435 const double toler051 = 2.5000000000000020e-13;
2436
2437 // Test data for a=0.50000000000000000, b=2.0000000000000000, c=4.0000000000000000.
2438 // max(|f - f_GSL|): 4.4408920985006262e-16
2439 // max(|f - f_GSL| / |f_GSL|): 3.0893602609058104e-16
2440 const testcase_hyperg<double>
2441 data052[19] =
2442 {
2443   { 0.83664260086443765, 0.50000000000000000, 2.0000000000000000,
2444           4.0000000000000000, -0.90000000000000002 },
2445   { 0.85046584300227079, 0.50000000000000000, 2.0000000000000000,
2446           4.0000000000000000, -0.80000000000000004 },
2447   { 0.86509574979651649, 0.50000000000000000, 2.0000000000000000,
2448           4.0000000000000000, -0.69999999999999996 },
2449   { 0.88062082573041911, 0.50000000000000000, 2.0000000000000000,
2450           4.0000000000000000, -0.59999999999999998 },
2451   { 0.89714464248521597, 0.50000000000000000, 2.0000000000000000,
2452           4.0000000000000000, -0.50000000000000000 },
2453   { 0.91478946588967591, 0.50000000000000000, 2.0000000000000000,
2454           4.0000000000000000, -0.40000000000000002 },
2455   { 0.93370105322348573, 0.50000000000000000, 2.0000000000000000,
2456           4.0000000000000000, -0.30000000000000004 },
2457   { 0.95405511057700887, 0.50000000000000000, 2.0000000000000000,
2458           4.0000000000000000, -0.19999999999999996 },
2459   { 0.97606616007978142, 0.50000000000000000, 2.0000000000000000,
2460           4.0000000000000000, -0.099999999999999978 },
2461   { 1.0000000000000000, 0.50000000000000000, 2.0000000000000000,
2462           4.0000000000000000, 0.0000000000000000 },
2463   { 1.0261916902334731, 0.50000000000000000, 2.0000000000000000,
2464           4.0000000000000000, 0.10000000000000009 },
2465   { 1.0550723519434702, 0.50000000000000000, 2.0000000000000000,
2466           4.0000000000000000, 0.19999999999999996 },
2467   { 1.0872106588188091, 0.50000000000000000, 2.0000000000000000,
2468           4.0000000000000000, 0.30000000000000004 },
2469   { 1.1233801699379020, 0.50000000000000000, 2.0000000000000000,
2470           4.0000000000000000, 0.39999999999999991 },
2471   { 1.1646752981725688, 0.50000000000000000, 2.0000000000000000,
2472           4.0000000000000000, 0.50000000000000000 },
2473   { 1.2127272514219511, 0.50000000000000000, 2.0000000000000000,
2474           4.0000000000000000, 0.60000000000000009 },
2475   { 1.2701518651068637, 0.50000000000000000, 2.0000000000000000,
2476           4.0000000000000000, 0.69999999999999996 },
2477   { 1.3416407864998725, 0.50000000000000000, 2.0000000000000000,
2478           4.0000000000000000, 0.80000000000000004 },
2479   { 1.4374795179111102, 0.50000000000000000, 2.0000000000000000,
2480           4.0000000000000000, 0.89999999999999991 },
2481 };
2482 const double toler052 = 2.5000000000000020e-13;
2483
2484 // Test data for a=0.50000000000000000, b=2.0000000000000000, c=6.0000000000000000.
2485 // max(|f - f_GSL|): 3.3306690738754696e-16
2486 // max(|f - f_GSL| / |f_GSL|): 3.3853500746952663e-16
2487 const testcase_hyperg<double>
2488 data053[19] =
2489 {
2490   { 0.88195381730235822, 0.50000000000000000, 2.0000000000000000,
2491           6.0000000000000000, -0.90000000000000002 },
2492   { 0.89265078469555081, 0.50000000000000000, 2.0000000000000000,
2493           6.0000000000000000, -0.80000000000000004 },
2494   { 0.90382937908303673, 0.50000000000000000, 2.0000000000000000,
2495           6.0000000000000000, -0.69999999999999996 },
2496   { 0.91553161389880600, 0.50000000000000000, 2.0000000000000000,
2497           6.0000000000000000, -0.59999999999999998 },
2498   { 0.92780530349281509, 0.50000000000000000, 2.0000000000000000,
2499           6.0000000000000000, -0.50000000000000000 },
2500   { 0.94070521140346008, 0.50000000000000000, 2.0000000000000000,
2501           6.0000000000000000, -0.40000000000000002 },
2502   { 0.95429450630523383, 0.50000000000000000, 2.0000000000000000,
2503           6.0000000000000000, -0.30000000000000004 },
2504   { 0.96864663325785849, 0.50000000000000000, 2.0000000000000000,
2505           6.0000000000000000, -0.19999999999999996 },
2506   { 0.98384775588541795, 0.50000000000000000, 2.0000000000000000,
2507           6.0000000000000000, -0.099999999999999978 },
2508   { 1.0000000000000000, 0.50000000000000000, 2.0000000000000000,
2509           6.0000000000000000, 0.0000000000000000 },
2510   { 1.0172258496884334, 0.50000000000000000, 2.0000000000000000,
2511           6.0000000000000000, 0.10000000000000009 },
2512   { 1.0356742479163459, 0.50000000000000000, 2.0000000000000000,
2513           6.0000000000000000, 0.19999999999999996 },
2514   { 1.0555293036908924, 0.50000000000000000, 2.0000000000000000,
2515           6.0000000000000000, 0.30000000000000004 },
2516   { 1.0770231491562379, 0.50000000000000000, 2.0000000000000000,
2517           6.0000000000000000, 0.39999999999999991 },
2518   { 1.1004557416484888, 0.50000000000000000, 2.0000000000000000,
2519           6.0000000000000000, 0.50000000000000000 },
2520   { 1.1262270515731978, 0.50000000000000000, 2.0000000000000000,
2521           6.0000000000000000, 0.60000000000000009 },
2522   { 1.1548932919125086, 0.50000000000000000, 2.0000000000000000,
2523           6.0000000000000000, 0.69999999999999996 },
2524   { 1.1872757758134724, 0.50000000000000000, 2.0000000000000000,
2525           6.0000000000000000, 0.80000000000000004 },
2526   { 1.2247091713458949, 0.50000000000000000, 2.0000000000000000,
2527           6.0000000000000000, 0.89999999999999991 },
2528 };
2529 const double toler053 = 2.5000000000000020e-13;
2530
2531 // Test data for a=0.50000000000000000, b=2.0000000000000000, c=8.0000000000000000.
2532 // max(|f - f_GSL|): 2.2204460492503131e-16
2533 // max(|f - f_GSL| / |f_GSL|): 2.2746445692007949e-16
2534 const testcase_hyperg<double>
2535 data054[19] =
2536 {
2537   { 0.90716919697107279, 0.50000000000000000, 2.0000000000000000,
2538           8.0000000000000000, -0.90000000000000002 },
2539   { 0.91592299407142508, 0.50000000000000000, 2.0000000000000000,
2540           8.0000000000000000, -0.80000000000000004 },
2541   { 0.92500027075874192, 0.50000000000000000, 2.0000000000000000,
2542           8.0000000000000000, -0.69999999999999996 },
2543   { 0.93442464185467122, 0.50000000000000000, 2.0000000000000000,
2544           8.0000000000000000, -0.59999999999999998 },
2545   { 0.94422248683737076, 0.50000000000000000, 2.0000000000000000,
2546           8.0000000000000000, -0.50000000000000000 },
2547   { 0.95442341810133324, 0.50000000000000000, 2.0000000000000000,
2548           8.0000000000000000, -0.40000000000000002 },
2549   { 0.96506085725516355, 0.50000000000000000, 2.0000000000000000,
2550           8.0000000000000000, -0.30000000000000004 },
2551   { 0.97617275213704069, 0.50000000000000000, 2.0000000000000000,
2552           8.0000000000000000, -0.19999999999999996 },
2553   { 0.98780247986309799, 0.50000000000000000, 2.0000000000000000,
2554           8.0000000000000000, -0.099999999999999978 },
2555   { 1.0000000000000000, 0.50000000000000000, 2.0000000000000000,
2556           8.0000000000000000, 0.0000000000000000 },
2557   { 1.0128233505813447, 0.50000000000000000, 2.0000000000000000,
2558           8.0000000000000000, 0.10000000000000009 },
2559   { 1.0263406246541855, 0.50000000000000000, 2.0000000000000000,
2560           8.0000000000000000, 0.19999999999999996 },
2561   { 1.0406326381700366, 0.50000000000000000, 2.0000000000000000,
2562           8.0000000000000000, 0.30000000000000004 },
2563   { 1.0557966239802845, 0.50000000000000000, 2.0000000000000000,
2564           8.0000000000000000, 0.39999999999999991 },
2565   { 1.0719515075786321, 0.50000000000000000, 2.0000000000000000,
2566           8.0000000000000000, 0.50000000000000000 },
2567   { 1.0892457392422055, 0.50000000000000000, 2.0000000000000000,
2568           8.0000000000000000, 0.60000000000000009 },
2569   { 1.1078695188000958, 0.50000000000000000, 2.0000000000000000,
2570           8.0000000000000000, 0.69999999999999996 },
2571   { 1.1280752258974340, 0.50000000000000000, 2.0000000000000000,
2572           8.0000000000000000, 0.80000000000000004 },
2573   { 1.1502152002706476, 0.50000000000000000, 2.0000000000000000,
2574           8.0000000000000000, 0.89999999999999991 },
2575 };
2576 const double toler054 = 2.5000000000000020e-13;
2577
2578 // Test data for a=0.50000000000000000, b=2.0000000000000000, c=10.000000000000000.
2579 // max(|f - f_GSL|): 4.4408920985006262e-16
2580 // max(|f - f_GSL| / |f_GSL|): 4.4848478782807992e-16
2581 const testcase_hyperg<double>
2582 data055[19] =
2583 {
2584   { 0.92336416053263082, 0.50000000000000000, 2.0000000000000000,
2585           10.000000000000000, -0.90000000000000002 },
2586   { 0.93078397248364542, 0.50000000000000000, 2.0000000000000000,
2587           10.000000000000000, -0.80000000000000004 },
2588   { 0.93843714333600259, 0.50000000000000000, 2.0000000000000000,
2589           10.000000000000000, -0.69999999999999996 },
2590   { 0.94633837784068098, 0.50000000000000000, 2.0000000000000000,
2591           10.000000000000000, -0.59999999999999998 },
2592   { 0.95450388104967876, 0.50000000000000000, 2.0000000000000000,
2593           10.000000000000000, -0.50000000000000000 },
2594   { 0.96295158125742752, 0.50000000000000000, 2.0000000000000000,
2595           10.000000000000000, -0.40000000000000002 },
2596   { 0.97170139827854318, 0.50000000000000000, 2.0000000000000000,
2597           10.000000000000000, -0.30000000000000004 },
2598   { 0.98077556918512687, 0.50000000000000000, 2.0000000000000000,
2599           10.000000000000000, -0.19999999999999996 },
2600   { 0.99019904777750845, 0.50000000000000000, 2.0000000000000000,
2601           10.000000000000000, -0.099999999999999978 },
2602   { 1.0000000000000000, 0.50000000000000000, 2.0000000000000000,
2603           10.000000000000000, 0.0000000000000000 },
2604   { 1.0102104261941198, 0.50000000000000000, 2.0000000000000000,
2605           10.000000000000000, 0.10000000000000009 },
2606   { 1.0208669540935695, 0.50000000000000000, 2.0000000000000000,
2607           10.000000000000000, 0.19999999999999996 },
2608   { 1.0320118665407505, 0.50000000000000000, 2.0000000000000000,
2609           10.000000000000000, 0.30000000000000004 },
2610   { 1.0436944599504387, 0.50000000000000000, 2.0000000000000000,
2611           10.000000000000000, 0.39999999999999991 },
2612   { 1.0559728828278145, 0.50000000000000000, 2.0000000000000000,
2613           10.000000000000000, 0.50000000000000000 },
2614   { 1.0689166967761712, 0.50000000000000000, 2.0000000000000000,
2615           10.000000000000000, 0.60000000000000009 },
2616   { 1.0826105758119842, 0.50000000000000000, 2.0000000000000000,
2617           10.000000000000000, 0.69999999999999996 },
2618   { 1.0971599106346146, 0.50000000000000000, 2.0000000000000000,
2619           10.000000000000000, 0.80000000000000004 },
2620   { 1.1126998828023964, 0.50000000000000000, 2.0000000000000000,
2621           10.000000000000000, 0.89999999999999991 },
2622 };
2623 const double toler055 = 2.5000000000000020e-13;
2624
2625 // Test data for a=0.50000000000000000, b=5.0000000000000000, c=2.0000000000000000.
2626 // max(|f - f_GSL|): 4.5474735088646412e-13
2627 // max(|f - f_GSL| / |f_GSL|): 1.5124797514980704e-15
2628 const testcase_hyperg<double>
2629 data056[19] =
2630 {
2631   { 0.52275983209457544, 0.50000000000000000, 5.0000000000000000,
2632           2.0000000000000000, -0.90000000000000002 },
2633   { 0.54700336898143009, 0.50000000000000000, 5.0000000000000000,
2634           2.0000000000000000, -0.80000000000000004 },
2635   { 0.57468955512602038, 0.50000000000000000, 5.0000000000000000,
2636           2.0000000000000000, -0.69999999999999996 },
2637   { 0.60665490543315048, 0.50000000000000000, 5.0000000000000000,
2638           2.0000000000000000, -0.59999999999999998 },
2639   { 0.64403057859056190, 0.50000000000000000, 5.0000000000000000,
2640           2.0000000000000000, -0.50000000000000000 },
2641   { 0.68838183648623730, 0.50000000000000000, 5.0000000000000000,
2642           2.0000000000000000, -0.40000000000000002 },
2643   { 0.74193265039311129, 0.50000000000000000, 5.0000000000000000,
2644           2.0000000000000000, -0.30000000000000004 },
2645   { 0.80794095908995300, 0.50000000000000000, 5.0000000000000000,
2646           2.0000000000000000, -0.19999999999999996 },
2647   { 0.89135275749639320, 0.50000000000000000, 5.0000000000000000,
2648           2.0000000000000000, -0.099999999999999978 },
2649   { 1.0000000000000000, 0.50000000000000000, 5.0000000000000000,
2650           2.0000000000000000, 0.0000000000000000 },
2651   { 1.1469266219310688, 0.50000000000000000, 5.0000000000000000,
2652           2.0000000000000000, 0.10000000000000009 },
2653   { 1.3552340708357489, 0.50000000000000000, 5.0000000000000000,
2654           2.0000000000000000, 0.19999999999999996 },
2655   { 1.6690840478838305, 0.50000000000000000, 5.0000000000000000,
2656           2.0000000000000000, 0.30000000000000004 },
2657   { 2.1815415453174483, 0.50000000000000000, 5.0000000000000000,
2658           2.0000000000000000, 0.39999999999999991 },
2659   { 3.1156892546032235, 0.50000000000000000, 5.0000000000000000,
2660           2.0000000000000000, 0.50000000000000000 },
2661   { 5.1109077417760416, 0.50000000000000000, 5.0000000000000000,
2662           2.0000000000000000, 0.60000000000000009 },
2663   { 10.560352936466296, 0.50000000000000000, 5.0000000000000000,
2664           2.0000000000000000, 0.69999999999999996 },
2665   { 33.541019662496815, 0.50000000000000000, 5.0000000000000000,
2666           2.0000000000000000, 0.80000000000000004 },
2667   { 300.66343065819501, 0.50000000000000000, 5.0000000000000000,
2668           2.0000000000000000, 0.89999999999999991 },
2669 };
2670 const double toler056 = 2.5000000000000020e-13;
2671
2672 // Test data for a=0.50000000000000000, b=5.0000000000000000, c=4.0000000000000000.
2673 // max(|f - f_GSL|): 8.8817841970012523e-15
2674 // max(|f - f_GSL| / |f_GSL|): 1.3217255411112326e-15
2675 const testcase_hyperg<double>
2676 data057[19] =
2677 {
2678   { 0.68252041951139286, 0.50000000000000000, 5.0000000000000000,
2679           4.0000000000000000, -0.90000000000000002 },
2680   { 0.70394732624993395, 0.50000000000000000, 5.0000000000000000,
2681           4.0000000000000000, -0.80000000000000004 },
2682   { 0.72748884971552052, 0.50000000000000000, 5.0000000000000000,
2683           4.0000000000000000, -0.69999999999999996 },
2684   { 0.75351147371199667, 0.50000000000000000, 5.0000000000000000,
2685           4.0000000000000000, -0.59999999999999998 },
2686   { 0.78247589005573737, 0.50000000000000000, 5.0000000000000000,
2687           4.0000000000000000, -0.50000000000000000 },
2688   { 0.81497017420249807, 0.50000000000000000, 5.0000000000000000,
2689           4.0000000000000000, -0.40000000000000002 },
2690   { 0.85175826875009586, 0.50000000000000000, 5.0000000000000000,
2691           4.0000000000000000, -0.30000000000000004 },
2692   { 0.89385278481745867, 0.50000000000000000, 5.0000000000000000,
2693           4.0000000000000000, -0.19999999999999996 },
2694   { 0.94262778709507411, 0.50000000000000000, 5.0000000000000000,
2695           4.0000000000000000, -0.099999999999999978 },
2696   { 1.0000000000000000, 0.50000000000000000, 5.0000000000000000,
2697           4.0000000000000000, 0.0000000000000000 },
2698   { 1.0687327277420910, 0.50000000000000000, 5.0000000000000000,
2699           4.0000000000000000, 0.10000000000000009 },
2700   { 1.1529725508983291, 0.50000000000000000, 5.0000000000000000,
2701           4.0000000000000000, 0.19999999999999996 },
2702   { 1.2592587134058799, 0.50000000000000000, 5.0000000000000000,
2703           4.0000000000000000, 0.30000000000000004 },
2704   { 1.3985773194637892, 0.50000000000000000, 5.0000000000000000,
2705           4.0000000000000000, 0.39999999999999991 },
2706   { 1.5909902576697317, 0.50000000000000000, 5.0000000000000000,
2707           4.0000000000000000, 0.50000000000000000 },
2708   { 1.8776023607249752, 0.50000000000000000, 5.0000000000000000,
2709           4.0000000000000000, 0.60000000000000009 },
2710   { 2.3582499003694646, 0.50000000000000000, 5.0000000000000000,
2711           4.0000000000000000, 0.69999999999999996 },
2712   { 3.3541019662496838, 0.50000000000000000, 5.0000000000000000,
2713           4.0000000000000000, 0.80000000000000004 },
2714   { 6.7198400278577859, 0.50000000000000000, 5.0000000000000000,
2715           4.0000000000000000, 0.89999999999999991 },
2716 };
2717 const double toler057 = 2.5000000000000020e-13;
2718
2719 // Test data for a=0.50000000000000000, b=5.0000000000000000, c=6.0000000000000000.
2720 // max(|f - f_GSL|): 2.6645352591003757e-15
2721 // max(|f - f_GSL| / |f_GSL|): 1.2228264607471081e-15
2722 const testcase_hyperg<double>
2723 data058[19] =
2724 {
2725   { 0.75755211927082600, 0.50000000000000000, 5.0000000000000000,
2726           6.0000000000000000, -0.90000000000000002 },
2727   { 0.77603550233010965, 0.50000000000000000, 5.0000000000000000,
2728           6.0000000000000000, -0.80000000000000004 },
2729   { 0.79596241913438504, 0.50000000000000000, 5.0000000000000000,
2730           6.0000000000000000, -0.69999999999999996 },
2731   { 0.81753360792105212, 0.50000000000000000, 5.0000000000000000,
2732           6.0000000000000000, -0.59999999999999998 },
2733   { 0.84099165409805532, 0.50000000000000000, 5.0000000000000000,
2734           6.0000000000000000, -0.50000000000000000 },
2735   { 0.86663303852180895, 0.50000000000000000, 5.0000000000000000,
2736           6.0000000000000000, -0.40000000000000002 },
2737   { 0.89482475828629970, 0.50000000000000000, 5.0000000000000000,
2738           6.0000000000000000, -0.30000000000000004 },
2739   { 0.92602774279590350, 0.50000000000000000, 5.0000000000000000,
2740           6.0000000000000000, -0.19999999999999996 },
2741   { 0.96083064727087386, 0.50000000000000000, 5.0000000000000000,
2742           6.0000000000000000, -0.099999999999999978 },
2743   { 1.0000000000000000, 0.50000000000000000, 5.0000000000000000,
2744           6.0000000000000000, 0.0000000000000000 },
2745   { 1.0445570841313008, 0.50000000000000000, 5.0000000000000000,
2746           6.0000000000000000, 0.10000000000000009 },
2747   { 1.0959004638926031, 0.50000000000000000, 5.0000000000000000,
2748           6.0000000000000000, 0.19999999999999996 },
2749   { 1.1560106261370562, 0.50000000000000000, 5.0000000000000000,
2750           6.0000000000000000, 0.30000000000000004 },
2751   { 1.2278121770678145, 0.50000000000000000, 5.0000000000000000,
2752           6.0000000000000000, 0.39999999999999991 },
2753   { 1.3158640214709998, 0.50000000000000000, 5.0000000000000000,
2754           6.0000000000000000, 0.50000000000000000 },
2755   { 1.4278095344155000, 0.50000000000000000, 5.0000000000000000,
2756           6.0000000000000000, 0.60000000000000009 },
2757   { 1.5778700502946612, 0.50000000000000000, 5.0000000000000000,
2758           6.0000000000000000, 0.69999999999999996 },
2759   { 1.7972173289196469, 0.50000000000000000, 5.0000000000000000,
2760           6.0000000000000000, 0.80000000000000004 },
2761   { 2.1789970569269732, 0.50000000000000000, 5.0000000000000000,
2762           6.0000000000000000, 0.89999999999999991 },
2763 };
2764 const double toler058 = 2.5000000000000020e-13;
2765
2766 // Test data for a=0.50000000000000000, b=5.0000000000000000, c=8.0000000000000000.
2767 // max(|f - f_GSL|): 6.6613381477509392e-16
2768 // max(|f - f_GSL| / |f_GSL|): 4.2082370290419495e-16
2769 const testcase_hyperg<double>
2770 data059[19] =
2771 {
2772   { 0.80270093579329460, 0.50000000000000000, 5.0000000000000000,
2773           8.0000000000000000, -0.90000000000000002 },
2774   { 0.81884974572462765, 0.50000000000000000, 5.0000000000000000,
2775           8.0000000000000000, -0.80000000000000004 },
2776   { 0.83605266330015260, 0.50000000000000000, 5.0000000000000000,
2777           8.0000000000000000, -0.69999999999999996 },
2778   { 0.85443340762796027, 0.50000000000000000, 5.0000000000000000,
2779           8.0000000000000000, -0.59999999999999998 },
2780   { 0.87413762182790711, 0.50000000000000000, 5.0000000000000000,
2781           8.0000000000000000, -0.50000000000000000 },
2782   { 0.89533826626907287, 0.50000000000000000, 5.0000000000000000,
2783           8.0000000000000000, -0.40000000000000002 },
2784   { 0.91824276674115290, 0.50000000000000000, 5.0000000000000000,
2785           8.0000000000000000, -0.30000000000000004 },
2786   { 0.94310265050720576, 0.50000000000000000, 5.0000000000000000,
2787           8.0000000000000000, -0.19999999999999996 },
2788   { 0.97022678857609712, 0.50000000000000000, 5.0000000000000000,
2789           8.0000000000000000, -0.099999999999999978 },
2790   { 1.0000000000000000, 0.50000000000000000, 5.0000000000000000,
2791           8.0000000000000000, 0.0000000000000000 },
2792   { 1.0329098673199812, 0.50000000000000000, 5.0000000000000000,
2793           8.0000000000000000, 0.10000000000000009 },
2794   { 1.0695865684573389, 0.50000000000000000, 5.0000000000000000,
2795           8.0000000000000000, 0.19999999999999996 },
2796   { 1.1108642103944570, 0.50000000000000000, 5.0000000000000000,
2797           8.0000000000000000, 0.30000000000000004 },
2798   { 1.1578795055970506, 0.50000000000000000, 5.0000000000000000,
2799           8.0000000000000000, 0.39999999999999991 },
2800   { 1.2122394794169442, 0.50000000000000000, 5.0000000000000000,
2801           8.0000000000000000, 0.50000000000000000 },
2802   { 1.2763274721556934, 0.50000000000000000, 5.0000000000000000,
2803           8.0000000000000000, 0.60000000000000009 },
2804   { 1.3539179650251021, 0.50000000000000000, 5.0000000000000000,
2805           8.0000000000000000, 0.69999999999999996 },
2806   { 1.4515986118197148, 0.50000000000000000, 5.0000000000000000,
2807           8.0000000000000000, 0.80000000000000004 },
2808   { 1.5829284571614219, 0.50000000000000000, 5.0000000000000000,
2809           8.0000000000000000, 0.89999999999999991 },
2810 };
2811 const double toler059 = 2.5000000000000020e-13;
2812
2813 // Test data for a=0.50000000000000000, b=5.0000000000000000, c=10.000000000000000.
2814 // max(|f - f_GSL|): 2.2204460492503131e-16
2815 // max(|f - f_GSL| / |f_GSL|): 2.2751041935095266e-16
2816 const testcase_hyperg<double>
2817 data060[19] =
2818 {
2819   { 0.83322694172301981, 0.50000000000000000, 5.0000000000000000,
2820           10.000000000000000, -0.90000000000000002 },
2821   { 0.84753931604765675, 0.50000000000000000, 5.0000000000000000,
2822           10.000000000000000, -0.80000000000000004 },
2823   { 0.86265784532195022, 0.50000000000000000, 5.0000000000000000,
2824           10.000000000000000, -0.69999999999999996 },
2825   { 0.87866479300707090, 0.50000000000000000, 5.0000000000000000,
2826           10.000000000000000, -0.59999999999999998 },
2827   { 0.89565516540263501, 0.50000000000000000, 5.0000000000000000,
2828           10.000000000000000, -0.50000000000000000 },
2829   { 0.91373946207610512, 0.50000000000000000, 5.0000000000000000,
2830           10.000000000000000, -0.40000000000000002 },
2831   { 0.93304721345881891, 0.50000000000000000, 5.0000000000000000,
2832           10.000000000000000, -0.30000000000000004 },
2833   { 0.95373159512905148, 0.50000000000000000, 5.0000000000000000,
2834           10.000000000000000, -0.19999999999999996 },
2835   { 0.97597554238828121, 0.50000000000000000, 5.0000000000000000,
2836           10.000000000000000, -0.099999999999999978 },
2837   { 1.0000000000000000, 0.50000000000000000, 5.0000000000000000,
2838           10.000000000000000, 0.0000000000000000 },
2839   { 1.0260752851887982, 0.50000000000000000, 5.0000000000000000,
2840           10.000000000000000, 0.10000000000000009 },
2841   { 1.0545371197996178, 0.50000000000000000, 5.0000000000000000,
2842           10.000000000000000, 0.19999999999999996 },
2843   { 1.0858099017045830, 0.50000000000000000, 5.0000000000000000,
2844           10.000000000000000, 0.30000000000000004 },
2845   { 1.1204416568688709, 0.50000000000000000, 5.0000000000000000,
2846           10.000000000000000, 0.39999999999999991 },
2847   { 1.1591587835964847, 0.50000000000000000, 5.0000000000000000,
2848           10.000000000000000, 0.50000000000000000 },
2849   { 1.2029564720303347, 0.50000000000000000, 5.0000000000000000,
2850           10.000000000000000, 0.60000000000000009 },
2851   { 1.2532588722007874, 0.50000000000000000, 5.0000000000000000,
2852           10.000000000000000, 0.69999999999999996 },
2853   { 1.3122319926925459, 0.50000000000000000, 5.0000000000000000,
2854           10.000000000000000, 0.80000000000000004 },
2855   { 1.3834948587364100, 0.50000000000000000, 5.0000000000000000,
2856           10.000000000000000, 0.89999999999999991 },
2857 };
2858 const double toler060 = 2.5000000000000020e-13;
2859
2860 // Test data for a=0.50000000000000000, b=10.000000000000000, c=2.0000000000000000.
2861 // max(|f - f_GSL|): 1.4901161193847656e-08
2862 // max(|f - f_GSL| / |f_GSL|): 1.8229127098648091e-15
2863 const testcase_hyperg<double>
2864 data061[19] =
2865 {
2866   { 0.37727530159464628, 0.50000000000000000, 10.000000000000000,
2867           2.0000000000000000, -0.90000000000000002 },
2868   { 0.39816010922169059, 0.50000000000000000, 10.000000000000000,
2869           2.0000000000000000, -0.80000000000000004 },
2870   { 0.42283703041362447, 0.50000000000000000, 10.000000000000000,
2871           2.0000000000000000, -0.69999999999999996 },
2872   { 0.45255640448730527, 0.50000000000000000, 10.000000000000000,
2873           2.0000000000000000, -0.59999999999999998 },
2874   { 0.48919507154431119, 0.50000000000000000, 10.000000000000000,
2875           2.0000000000000000, -0.50000000000000000 },
2876   { 0.53569358917731924, 0.50000000000000000, 10.000000000000000,
2877           2.0000000000000000, -0.40000000000000002 },
2878   { 0.59689778897029544, 0.50000000000000000, 10.000000000000000,
2879           2.0000000000000000, -0.30000000000000004 },
2880   { 0.68128587569875765, 0.50000000000000000, 10.000000000000000,
2881           2.0000000000000000, -0.19999999999999996 },
2882   { 0.80478739308790359, 0.50000000000000000, 10.000000000000000,
2883           2.0000000000000000, -0.099999999999999978 },
2884   { 1.0000000000000000, 0.50000000000000000, 10.000000000000000,
2885           2.0000000000000000, 0.0000000000000000 },
2886   { 1.3408664196153621, 0.50000000000000000, 10.000000000000000,
2887           2.0000000000000000, 0.10000000000000009 },
2888   { 2.0175364359923860, 0.50000000000000000, 10.000000000000000,
2889           2.0000000000000000, 0.19999999999999996 },
2890   { 3.6011214553736646, 0.50000000000000000, 10.000000000000000,
2891           2.0000000000000000, 0.30000000000000004 },
2892   { 8.1799429939495312, 0.50000000000000000, 10.000000000000000,
2893           2.0000000000000000, 0.39999999999999991 },
2894   { 25.644834637536000, 0.50000000000000000, 10.000000000000000,
2895           2.0000000000000000, 0.50000000000000000 },
2896   { 123.13738891597615, 0.50000000000000000, 10.000000000000000,
2897           2.0000000000000000, 0.60000000000000009 },
2898   { 1088.7122410321333, 0.50000000000000000, 10.000000000000000,
2899           2.0000000000000000, 0.69999999999999996 },
2900   { 27358.291704709951, 0.50000000000000000, 10.000000000000000,
2901           2.0000000000000000, 0.80000000000000004 },
2902   { 8174369.0266731177, 0.50000000000000000, 10.000000000000000,
2903           2.0000000000000000, 0.89999999999999991 },
2904 };
2905 const double toler061 = 2.5000000000000020e-13;
2906
2907 // Test data for a=0.50000000000000000, b=10.000000000000000, c=4.0000000000000000.
2908 // max(|f - f_GSL|): 2.0008883439004421e-11
2909 // max(|f - f_GSL| / |f_GSL|): 1.5684473872214654e-15
2910 const testcase_hyperg<double>
2911 data062[19] =
2912 {
2913   { 0.53905528308450823, 0.50000000000000000, 10.000000000000000,
2914           4.0000000000000000, -0.90000000000000002 },
2915   { 0.56235533974376162, 0.50000000000000000, 10.000000000000000,
2916           4.0000000000000000, -0.80000000000000004 },
2917   { 0.58887657983263575, 0.50000000000000000, 10.000000000000000,
2918           4.0000000000000000, -0.69999999999999996 },
2919   { 0.61941227047262937, 0.50000000000000000, 10.000000000000000,
2920           4.0000000000000000, -0.59999999999999998 },
2921   { 0.65504896640793864, 0.50000000000000000, 10.000000000000000,
2922           4.0000000000000000, -0.50000000000000000 },
2923   { 0.69731666644529977, 0.50000000000000000, 10.000000000000000,
2924           4.0000000000000000, -0.40000000000000002 },
2925   { 0.74844073299399139, 0.50000000000000000, 10.000000000000000,
2926           4.0000000000000000, -0.30000000000000004 },
2927   { 0.81178446800105830, 0.50000000000000000, 10.000000000000000,
2928           4.0000000000000000, -0.19999999999999996 },
2929   { 0.89266981277598045, 0.50000000000000000, 10.000000000000000,
2930           4.0000000000000000, -0.099999999999999978 },
2931   { 1.0000000000000000, 0.50000000000000000, 10.000000000000000,
2932           4.0000000000000000, 0.0000000000000000 },
2933   { 1.1497248473106778, 0.50000000000000000, 10.000000000000000,
2934           4.0000000000000000, 0.10000000000000009 },
2935   { 1.3729717112654571, 0.50000000000000000, 10.000000000000000,
2936           4.0000000000000000, 0.19999999999999996 },
2937   { 1.7374982340374392, 0.50000000000000000, 10.000000000000000,
2938           4.0000000000000000, 0.30000000000000004 },
2939   { 2.4134479340960580, 0.50000000000000000, 10.000000000000000,
2940           4.0000000000000000, 0.39999999999999991 },
2941   { 3.9191255240471192, 0.50000000000000000, 10.000000000000000,
2942           4.0000000000000000, 0.50000000000000000 },
2943   { 8.3316373077761270, 0.50000000000000000, 10.000000000000000,
2944           4.0000000000000000, 0.60000000000000009 },
2945   { 28.323020339843335, 0.50000000000000000, 10.000000000000000,
2946           4.0000000000000000, 0.69999999999999996 },
2947   { 225.84286572747891, 0.50000000000000000, 10.000000000000000,
2948           4.0000000000000000, 0.80000000000000004 },
2949   { 12757.127591286655, 0.50000000000000000, 10.000000000000000,
2950           4.0000000000000000, 0.89999999999999991 },
2951 };
2952 const double toler062 = 2.5000000000000020e-13;
2953
2954 // Test data for a=0.50000000000000000, b=10.000000000000000, c=6.0000000000000000.
2955 // max(|f - f_GSL|): 1.9895196601282805e-13
2956 // max(|f - f_GSL| / |f_GSL|): 1.4567107859209967e-15
2957 const testcase_hyperg<double>
2958 data063[19] =
2959 {
2960   { 0.62672622092226027, 0.50000000000000000, 10.000000000000000,
2961           6.0000000000000000, -0.90000000000000002 },
2962   { 0.64931010269769840, 0.50000000000000000, 10.000000000000000,
2963           6.0000000000000000, -0.80000000000000004 },
2964   { 0.67448067519076293, 0.50000000000000000, 10.000000000000000,
2965           6.0000000000000000, -0.69999999999999996 },
2966   { 0.70276306239803643, 0.50000000000000000, 10.000000000000000,
2967           6.0000000000000000, -0.59999999999999998 },
2968   { 0.73484179773087521, 0.50000000000000000, 10.000000000000000,
2969           6.0000000000000000, -0.50000000000000000 },
2970   { 0.77162761412743874, 0.50000000000000000, 10.000000000000000,
2971           6.0000000000000000, -0.40000000000000002 },
2972   { 0.81436116844816564, 0.50000000000000000, 10.000000000000000,
2973           6.0000000000000000, -0.30000000000000004 },
2974   { 0.86477994787944579, 0.50000000000000000, 10.000000000000000,
2975           6.0000000000000000, -0.19999999999999996 },
2976   { 0.92539820516603888, 0.50000000000000000, 10.000000000000000,
2977           6.0000000000000000, -0.099999999999999978 },
2978   { 1.0000000000000000, 0.50000000000000000, 10.000000000000000,
2979           6.0000000000000000, 0.0000000000000000 },
2980   { 1.0945599448210315, 0.50000000000000000, 10.000000000000000,
2981           6.0000000000000000, 0.10000000000000009 },
2982   { 1.2190897395597264, 0.50000000000000000, 10.000000000000000,
2983           6.0000000000000000, 0.19999999999999996 },
2984   { 1.3916844336856475, 0.50000000000000000, 10.000000000000000,
2985           6.0000000000000000, 0.30000000000000004 },
2986   { 1.6484497630432013, 0.50000000000000000, 10.000000000000000,
2987           6.0000000000000000, 0.39999999999999991 },
2988   { 2.0717772717131155, 0.50000000000000000, 10.000000000000000,
2989           6.0000000000000000, 0.50000000000000000 },
2990   { 2.8893613630810924, 0.50000000000000000, 10.000000000000000,
2991           6.0000000000000000, 0.60000000000000009 },
2992   { 4.9459404075413529, 0.50000000000000000, 10.000000000000000,
2993           6.0000000000000000, 0.69999999999999996 },
2994   { 13.487394149998716, 0.50000000000000000, 10.000000000000000,
2995           6.0000000000000000, 0.80000000000000004 },
2996   { 136.57616044013972, 0.50000000000000000, 10.000000000000000,
2997           6.0000000000000000, 0.89999999999999991 },
2998 };
2999 const double toler063 = 2.5000000000000020e-13;
3000
3001 // Test data for a=0.50000000000000000, b=10.000000000000000, c=8.0000000000000000.
3002 // max(|f - f_GSL|): 1.2434497875801753e-14
3003 // max(|f - f_GSL| / |f_GSL|): 1.3245081211977836e-15
3004 const testcase_hyperg<double>
3005 data064[19] =
3006 {
3007   { 0.68421604440344319, 0.50000000000000000, 10.000000000000000,
3008           8.0000000000000000, -0.90000000000000002 },
3009   { 0.70548098055548925, 0.50000000000000000, 10.000000000000000,
3010           8.0000000000000000, -0.80000000000000004 },
3011   { 0.72884342311710337, 0.50000000000000000, 10.000000000000000,
3012           8.0000000000000000, -0.69999999999999996 },
3013   { 0.75466953437856232, 0.50000000000000000, 10.000000000000000,
3014           8.0000000000000000, -0.59999999999999998 },
3015   { 0.78342090924662589, 0.50000000000000000, 10.000000000000000,
3016           8.0000000000000000, -0.50000000000000000 },
3017   { 0.81568884278645082, 0.50000000000000000, 10.000000000000000,
3018           8.0000000000000000, -0.40000000000000002 },
3019   { 0.85224480241465239, 0.50000000000000000, 10.000000000000000,
3020           8.0000000000000000, -0.30000000000000004 },
3021   { 0.89411692571131685, 0.50000000000000000, 10.000000000000000,
3022           8.0000000000000000, -0.19999999999999996 },
3023   { 0.94270986892954811, 0.50000000000000000, 10.000000000000000,
3024           8.0000000000000000, -0.099999999999999978 },
3025   { 1.0000000000000000, 0.50000000000000000, 10.000000000000000,
3026           8.0000000000000000, 0.0000000000000000 },
3027   { 1.0688682849120232, 0.50000000000000000, 10.000000000000000,
3028           8.0000000000000000, 0.10000000000000009 },
3029   { 1.1537004376097553, 0.50000000000000000, 10.000000000000000,
3030           8.0000000000000000, 0.19999999999999996 },
3031   { 1.2615455028370031, 0.50000000000000000, 10.000000000000000,
3032           8.0000000000000000, 0.30000000000000004 },
3033   { 1.4045541456153436, 0.50000000000000000, 10.000000000000000,
3034           8.0000000000000000, 0.39999999999999991 },
3035   { 1.6057216489444517, 0.50000000000000000, 10.000000000000000,
3036           8.0000000000000000, 0.50000000000000000 },
3037   { 1.9146603020550739, 0.50000000000000000, 10.000000000000000,
3038           8.0000000000000000, 0.60000000000000009 },
3039   { 2.4617931307620298, 0.50000000000000000, 10.000000000000000,
3040           8.0000000000000000, 0.69999999999999996 },
3041   { 3.7267799624996498, 0.50000000000000000, 10.000000000000000,
3042           8.0000000000000000, 0.80000000000000004 },
3043   { 9.3880118036248401, 0.50000000000000000, 10.000000000000000,
3044           8.0000000000000000, 0.89999999999999991 },
3045 };
3046 const double toler064 = 2.5000000000000020e-13;
3047
3048 // Test data for a=0.50000000000000000, b=10.000000000000000, c=10.000000000000000.
3049 // max(|f - f_GSL|): 4.4408920985006262e-16
3050 // max(|f - f_GSL| / |f_GSL|): 1.5700924586837752e-16
3051 const testcase_hyperg<double>
3052 data065[19] =
3053 {
3054   { 0.72547625011001171, 0.50000000000000000, 10.000000000000000,
3055           10.000000000000000, -0.90000000000000002 },
3056   { 0.74535599249992990, 0.50000000000000000, 10.000000000000000,
3057           10.000000000000000, -0.80000000000000004 },
3058   { 0.76696498884737041, 0.50000000000000000, 10.000000000000000,
3059           10.000000000000000, -0.69999999999999996 },
3060   { 0.79056941504209477, 0.50000000000000000, 10.000000000000000,
3061           10.000000000000000, -0.59999999999999998 },
3062   { 0.81649658092772603, 0.50000000000000000, 10.000000000000000,
3063           10.000000000000000, -0.50000000000000000 },
3064   { 0.84515425472851657, 0.50000000000000000, 10.000000000000000,
3065           10.000000000000000, -0.40000000000000002 },
3066   { 0.87705801930702920, 0.50000000000000000, 10.000000000000000,
3067           10.000000000000000, -0.30000000000000004 },
3068   { 0.91287092917527690, 0.50000000000000000, 10.000000000000000,
3069           10.000000000000000, -0.19999999999999996 },
3070   { 0.95346258924559224, 0.50000000000000000, 10.000000000000000,
3071           10.000000000000000, -0.099999999999999978 },
3072   { 1.0000000000000000, 0.50000000000000000, 10.000000000000000,
3073           10.000000000000000, 0.0000000000000000 },
3074   { 1.0540925533894598, 0.50000000000000000, 10.000000000000000,
3075           10.000000000000000, 0.10000000000000009 },
3076   { 1.1180339887498949, 0.50000000000000000, 10.000000000000000,
3077           10.000000000000000, 0.19999999999999996 },
3078   { 1.1952286093343938, 0.50000000000000000, 10.000000000000000,
3079           10.000000000000000, 0.30000000000000004 },
3080   { 1.2909944487358056, 0.50000000000000000, 10.000000000000000,
3081           10.000000000000000, 0.39999999999999991 },
3082   { 1.4142135623730949, 0.50000000000000000, 10.000000000000000,
3083           10.000000000000000, 0.50000000000000000 },
3084   { 1.5811388300841900, 0.50000000000000000, 10.000000000000000,
3085           10.000000000000000, 0.60000000000000009 },
3086   { 1.8257418583505536, 0.50000000000000000, 10.000000000000000,
3087           10.000000000000000, 0.69999999999999996 },
3088   { 2.2360679774997898, 0.50000000000000000, 10.000000000000000,
3089           10.000000000000000, 0.80000000000000004 },
3090   { 3.1622776601683782, 0.50000000000000000, 10.000000000000000,
3091           10.000000000000000, 0.89999999999999991 },
3092 };
3093 const double toler065 = 2.5000000000000020e-13;
3094
3095 // Test data for a=0.50000000000000000, b=20.000000000000000, c=2.0000000000000000.
3096 // max(|f - f_GSL|): 48.000000000000000
3097 // max(|f - f_GSL| / |f_GSL|): 1.8556481344875154e-15
3098 const testcase_hyperg<double>
3099 data066[19] =
3100 {
3101   { 0.26690449940521549, 0.50000000000000000, 20.000000000000000,
3102           2.0000000000000000, -0.90000000000000002 },
3103   { 0.28252302866181833, 0.50000000000000000, 20.000000000000000,
3104           2.0000000000000000, -0.80000000000000004 },
3105   { 0.30123616141153836, 0.50000000000000000, 20.000000000000000,
3106           2.0000000000000000, -0.69999999999999996 },
3107   { 0.32421384687602633, 0.50000000000000000, 20.000000000000000,
3108           2.0000000000000000, -0.59999999999999998 },
3109   { 0.35334630811776774, 0.50000000000000000, 20.000000000000000,
3110           2.0000000000000000, -0.50000000000000000 },
3111   { 0.39191793127467028, 0.50000000000000000, 20.000000000000000,
3112           2.0000000000000000, -0.40000000000000002 },
3113   { 0.44620488618129195, 0.50000000000000000, 20.000000000000000,
3114           2.0000000000000000, -0.30000000000000004 },
3115   { 0.52980896919265719, 0.50000000000000000, 20.000000000000000,
3116           2.0000000000000000, -0.19999999999999996 },
3117   { 0.67754711477562324, 0.50000000000000000, 20.000000000000000,
3118           2.0000000000000000, -0.099999999999999978 },
3119   { 1.0000000000000000, 0.50000000000000000, 20.000000000000000,
3120           2.0000000000000000, 0.0000000000000000 },
3121   { 1.9567557771780317, 0.50000000000000000, 20.000000000000000,
3122           2.0000000000000000, 0.10000000000000009 },
3123   { 6.1816042148333086, 0.50000000000000000, 20.000000000000000,
3124           2.0000000000000000, 0.19999999999999996 },
3125   { 35.653088618561227, 0.50000000000000000, 20.000000000000000,
3126           2.0000000000000000, 0.30000000000000004 },
3127   { 377.51482843179906, 0.50000000000000000, 20.000000000000000,
3128           2.0000000000000000, 0.39999999999999991 },
3129   { 7645.8816551195359, 0.50000000000000000, 20.000000000000000,
3130           2.0000000000000000, 0.50000000000000000 },
3131   { 354791.74537980522, 0.50000000000000000, 20.000000000000000,
3132           2.0000000000000000, 0.60000000000000009 },
3133   { 57009889.966638684, 0.50000000000000000, 20.000000000000000,
3134           2.0000000000000000, 0.69999999999999996 },
3135   { 83771357024.863937, 0.50000000000000000, 20.000000000000000,
3136           2.0000000000000000, 0.80000000000000004 },
3137   { 25866972896376408., 0.50000000000000000, 20.000000000000000,
3138           2.0000000000000000, 0.89999999999999991 },
3139 };
3140 const double toler066 = 2.5000000000000020e-13;
3141
3142 // Test data for a=0.50000000000000000, b=20.000000000000000, c=4.0000000000000000.
3143 // max(|f - f_GSL|): 0.011718750000000000
3144 // max(|f - f_GSL| / |f_GSL|): 1.7519521419034139e-15
3145 const testcase_hyperg<double>
3146 data067[19] =
3147 {
3148   { 0.40342659436153389, 0.50000000000000000, 20.000000000000000,
3149           4.0000000000000000, -0.90000000000000002 },
3150   { 0.42420571192034318, 0.50000000000000000, 20.000000000000000,
3151           4.0000000000000000, -0.80000000000000004 },
3152   { 0.44852768286073041, 0.50000000000000000, 20.000000000000000,
3153           4.0000000000000000, -0.69999999999999996 },
3154   { 0.47751245808592863, 0.50000000000000000, 20.000000000000000,
3155           4.0000000000000000, -0.59999999999999998 },
3156   { 0.51283632632707765, 0.50000000000000000, 20.000000000000000,
3157           4.0000000000000000, -0.50000000000000000 },
3158   { 0.55713468814894329, 0.50000000000000000, 20.000000000000000,
3159           4.0000000000000000, -0.40000000000000002 },
3160   { 0.61481320817757334, 0.50000000000000000, 20.000000000000000,
3161           4.0000000000000000, -0.30000000000000004 },
3162   { 0.69383483410097213, 0.50000000000000000, 20.000000000000000,
3163           4.0000000000000000, -0.19999999999999996 },
3164   { 0.81012002526006044, 0.50000000000000000, 20.000000000000000,
3165           4.0000000000000000, -0.099999999999999978 },
3166   { 1.0000000000000000, 0.50000000000000000, 20.000000000000000,
3167           4.0000000000000000, 0.0000000000000000 },
3168   { 1.3622225506603911, 0.50000000000000000, 20.000000000000000,
3169           4.0000000000000000, 0.10000000000000009 },
3170   { 2.2349513086109001, 0.50000000000000000, 20.000000000000000,
3171           4.0000000000000000, 0.19999999999999996 },
3172   { 5.1864917536761723, 0.50000000000000000, 20.000000000000000,
3173           4.0000000000000000, 0.30000000000000004 },
3174   { 21.020560423779411, 0.50000000000000000, 20.000000000000000,
3175           4.0000000000000000, 0.39999999999999991 },
3176   { 175.19649997100612, 0.50000000000000000, 20.000000000000000,
3177           4.0000000000000000, 0.50000000000000000 },
3178   { 3467.1587803688708, 0.50000000000000000, 20.000000000000000,
3179           4.0000000000000000, 0.60000000000000009 },
3180   { 225003.88683445856, 0.50000000000000000, 20.000000000000000,
3181           4.0000000000000000, 0.69999999999999996 },
3182   { 110837674.65652709, 0.50000000000000000, 20.000000000000000,
3183           4.0000000000000000, 0.80000000000000004 },
3184   { 6688966964170.6807, 0.50000000000000000, 20.000000000000000,
3185           4.0000000000000000, 0.89999999999999991 },
3186 };
3187 const double toler067 = 2.5000000000000020e-13;
3188
3189 // Test data for a=0.50000000000000000, b=20.000000000000000, c=6.0000000000000000.
3190 // max(|f - f_GSL|): 1.4305114746093750e-05
3191 // max(|f - f_GSL| / |f_GSL|): 1.9261147266354006e-15
3192 const testcase_hyperg<double>
3193 data068[19] =
3194 {
3195   { 0.48716309885816822, 0.50000000000000000, 20.000000000000000,
3196           6.0000000000000000, -0.90000000000000002 },
3197   { 0.50965859152542337, 0.50000000000000000, 20.000000000000000,
3198           6.0000000000000000, -0.80000000000000004 },
3199   { 0.53554809210658938, 0.50000000000000000, 20.000000000000000,
3200           6.0000000000000000, -0.69999999999999996 },
3201   { 0.56576689207507136, 0.50000000000000000, 20.000000000000000,
3202           6.0000000000000000, -0.59999999999999998 },
3203   { 0.60164849637133655, 0.50000000000000000, 20.000000000000000,
3204           6.0000000000000000, -0.50000000000000000 },
3205   { 0.64516711595404364, 0.50000000000000000, 20.000000000000000,
3206           6.0000000000000000, -0.40000000000000002 },
3207   { 0.69938278735493520, 0.50000000000000000, 20.000000000000000,
3208           6.0000000000000000, -0.30000000000000004 },
3209   { 0.76931621518401860, 0.50000000000000000, 20.000000000000000,
3210           6.0000000000000000, -0.19999999999999996 },
3211   { 0.86381808725530662, 0.50000000000000000, 20.000000000000000,
3212           6.0000000000000000, -0.099999999999999978 },
3213   { 1.0000000000000000, 0.50000000000000000, 20.000000000000000,
3214           6.0000000000000000, 0.0000000000000000 },
3215   { 1.2152051956815531, 0.50000000000000000, 20.000000000000000,
3216           6.0000000000000000, 0.10000000000000009 },
3217   { 1.6052546785425543, 0.50000000000000000, 20.000000000000000,
3218           6.0000000000000000, 0.19999999999999996 },
3219   { 2.4765586046012635, 0.50000000000000000, 20.000000000000000,
3220           6.0000000000000000, 0.30000000000000004 },
3221   { 5.1564492216997486, 0.50000000000000000, 20.000000000000000,
3222           6.0000000000000000, 0.39999999999999991 },
3223   { 18.446158392136365, 0.50000000000000000, 20.000000000000000,
3224           6.0000000000000000, 0.50000000000000000 },
3225   { 150.44577670123971, 0.50000000000000000, 20.000000000000000,
3226           6.0000000000000000, 0.60000000000000009 },
3227   { 3862.6317400115768, 0.50000000000000000, 20.000000000000000,
3228           6.0000000000000000, 0.69999999999999996 },
3229   { 632428.34833625401, 0.50000000000000000, 20.000000000000000,
3230           6.0000000000000000, 0.80000000000000004 },
3231   { 7426927663.3808765, 0.50000000000000000, 20.000000000000000,
3232           6.0000000000000000, 0.89999999999999991 },
3233 };
3234 const double toler068 = 2.5000000000000020e-13;
3235
3236 // Test data for a=0.50000000000000000, b=20.000000000000000, c=8.0000000000000000.
3237 // max(|f - f_GSL|): 4.0978193283081055e-08
3238 // max(|f - f_GSL| / |f_GSL|): 1.7692881266931737e-15
3239 const testcase_hyperg<double>
3240 data069[19] =
3241 {
3242   { 0.54703266209548373, 0.50000000000000000, 20.000000000000000,
3243           8.0000000000000000, -0.90000000000000002 },
3244   { 0.56997321774144960, 0.50000000000000000, 20.000000000000000,
3245           8.0000000000000000, -0.80000000000000004 },
3246   { 0.59603026159654982, 0.50000000000000000, 20.000000000000000,
3247           8.0000000000000000, -0.69999999999999996 },
3248   { 0.62596978851120511, 0.50000000000000000, 20.000000000000000,
3249           8.0000000000000000, -0.59999999999999998 },
3250   { 0.66084565876898915, 0.50000000000000000, 20.000000000000000,
3251           8.0000000000000000, -0.50000000000000000 },
3252   { 0.70215256667232873, 0.50000000000000000, 20.000000000000000,
3253           8.0000000000000000, -0.40000000000000002 },
3254   { 0.75208916592008557, 0.50000000000000000, 20.000000000000000,
3255           8.0000000000000000, -0.30000000000000004 },
3256   { 0.81403631111658625, 0.50000000000000000, 20.000000000000000,
3257           8.0000000000000000, -0.19999999999999996 },
3258   { 0.89348608489854597, 0.50000000000000000, 20.000000000000000,
3259           8.0000000000000000, -0.099999999999999978 },
3260   { 1.0000000000000000, 0.50000000000000000, 20.000000000000000,
3261           8.0000000000000000, 0.0000000000000000 },
3262   { 1.1517793185139173, 0.50000000000000000, 20.000000000000000,
3263           8.0000000000000000, 0.10000000000000009 },
3264   { 1.3878110313656598, 0.50000000000000000, 20.000000000000000,
3265           8.0000000000000000, 0.19999999999999996 },
3266   { 1.8061071794572381, 0.50000000000000000, 20.000000000000000,
3267           8.0000000000000000, 0.30000000000000004 },
3268   { 2.7148594517859586, 0.50000000000000000, 20.000000000000000,
3269           8.0000000000000000, 0.39999999999999991 },
3270   { 5.4529435709049361, 0.50000000000000000, 20.000000000000000,
3271           8.0000000000000000, 0.50000000000000000 },
3272   { 19.487310275377109, 0.50000000000000000, 20.000000000000000,
3273           8.0000000000000000, 0.60000000000000009 },
3274   { 191.69079165937470, 0.50000000000000000, 20.000000000000000,
3275           8.0000000000000000, 0.69999999999999996 },
3276   { 10218.543981792311, 0.50000000000000000, 20.000000000000000,
3277           8.0000000000000000, 0.80000000000000004 },
3278   { 23160836.646583911, 0.50000000000000000, 20.000000000000000,
3279           8.0000000000000000, 0.89999999999999991 },
3280 };
3281 const double toler069 = 2.5000000000000020e-13;
3282
3283 // Test data for a=0.50000000000000000, b=20.000000000000000, c=10.000000000000000.
3284 // max(|f - f_GSL|): 2.9103830456733704e-10
3285 // max(|f - f_GSL| / |f_GSL|): 1.6694673196526831e-15
3286 const testcase_hyperg<double>
3287 data070[19] =
3288 {
3289   { 0.59292067298616025, 0.50000000000000000, 20.000000000000000,
3290           10.000000000000000, -0.90000000000000002 },
3291   { 0.61572496720679892, 0.50000000000000000, 20.000000000000000,
3292           10.000000000000000, -0.80000000000000004 },
3293   { 0.64135339122875590, 0.50000000000000000, 20.000000000000000,
3294           10.000000000000000, -0.69999999999999996 },
3295   { 0.67043457419280461, 0.50000000000000000, 20.000000000000000,
3296           10.000000000000000, -0.59999999999999998 },
3297   { 0.70380956268170969, 0.50000000000000000, 20.000000000000000,
3298           10.000000000000000, -0.50000000000000000 },
3299   { 0.74263251901495220, 0.50000000000000000, 20.000000000000000,
3300           10.000000000000000, -0.40000000000000002 },
3301   { 0.78853555445528256, 0.50000000000000000, 20.000000000000000,
3302           10.000000000000000, -0.30000000000000004 },
3303   { 0.84391122775673755, 0.50000000000000000, 20.000000000000000,
3304           10.000000000000000, -0.19999999999999996 },
3305   { 0.91242401018807373, 0.50000000000000000, 20.000000000000000,
3306           10.000000000000000, -0.099999999999999978 },
3307   { 1.0000000000000000, 0.50000000000000000, 20.000000000000000,
3308           10.000000000000000, 0.0000000000000000 },
3309   { 1.1169059681274873, 0.50000000000000000, 20.000000000000000,
3310           10.000000000000000, 0.10000000000000009 },
3311   { 1.2825928301302667, 0.50000000000000000, 20.000000000000000,
3312           10.000000000000000, 0.19999999999999996 },
3313   { 1.5385937789924939, 0.50000000000000000, 20.000000000000000,
3314           10.000000000000000, 0.30000000000000004 },
3315   { 1.9895771187893898, 0.50000000000000000, 20.000000000000000,
3316           10.000000000000000, 0.39999999999999991 },
3317   { 2.9707335806970168, 0.50000000000000000, 20.000000000000000,
3318           10.000000000000000, 0.50000000000000000 },
3319   { 6.0299506157180467, 0.50000000000000000, 20.000000000000000,
3320           10.000000000000000, 0.60000000000000009 },
3321   { 24.259090336955577, 0.50000000000000000, 20.000000000000000,
3322           10.000000000000000, 0.69999999999999996 },
3323   { 406.27267173257223, 0.50000000000000000, 20.000000000000000,
3324           10.000000000000000, 0.80000000000000004 },
3325   { 174330.03997220192, 0.50000000000000000, 20.000000000000000,
3326           10.000000000000000, 0.89999999999999991 },
3327 };
3328 const double toler070 = 2.5000000000000020e-13;
3329
3330 // Test data for a=1.0000000000000000, b=0.0000000000000000, c=2.0000000000000000.
3331 // max(|f - f_GSL|): 0.0000000000000000
3332 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
3333 const testcase_hyperg<double>
3334 data071[19] =
3335 {
3336   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3337           2.0000000000000000, -0.90000000000000002 },
3338   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3339           2.0000000000000000, -0.80000000000000004 },
3340   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3341           2.0000000000000000, -0.69999999999999996 },
3342   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3343           2.0000000000000000, -0.59999999999999998 },
3344   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3345           2.0000000000000000, -0.50000000000000000 },
3346   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3347           2.0000000000000000, -0.40000000000000002 },
3348   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3349           2.0000000000000000, -0.30000000000000004 },
3350   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3351           2.0000000000000000, -0.19999999999999996 },
3352   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3353           2.0000000000000000, -0.099999999999999978 },
3354   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3355           2.0000000000000000, 0.0000000000000000 },
3356   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3357           2.0000000000000000, 0.10000000000000009 },
3358   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3359           2.0000000000000000, 0.19999999999999996 },
3360   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3361           2.0000000000000000, 0.30000000000000004 },
3362   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3363           2.0000000000000000, 0.39999999999999991 },
3364   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3365           2.0000000000000000, 0.50000000000000000 },
3366   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3367           2.0000000000000000, 0.60000000000000009 },
3368   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3369           2.0000000000000000, 0.69999999999999996 },
3370   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3371           2.0000000000000000, 0.80000000000000004 },
3372   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3373           2.0000000000000000, 0.89999999999999991 },
3374 };
3375 const double toler071 = 2.5000000000000020e-13;
3376
3377 // Test data for a=1.0000000000000000, b=0.0000000000000000, c=4.0000000000000000.
3378 // max(|f - f_GSL|): 0.0000000000000000
3379 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
3380 const testcase_hyperg<double>
3381 data072[19] =
3382 {
3383   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3384           4.0000000000000000, -0.90000000000000002 },
3385   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3386           4.0000000000000000, -0.80000000000000004 },
3387   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3388           4.0000000000000000, -0.69999999999999996 },
3389   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3390           4.0000000000000000, -0.59999999999999998 },
3391   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3392           4.0000000000000000, -0.50000000000000000 },
3393   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3394           4.0000000000000000, -0.40000000000000002 },
3395   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3396           4.0000000000000000, -0.30000000000000004 },
3397   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3398           4.0000000000000000, -0.19999999999999996 },
3399   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3400           4.0000000000000000, -0.099999999999999978 },
3401   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3402           4.0000000000000000, 0.0000000000000000 },
3403   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3404           4.0000000000000000, 0.10000000000000009 },
3405   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3406           4.0000000000000000, 0.19999999999999996 },
3407   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3408           4.0000000000000000, 0.30000000000000004 },
3409   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3410           4.0000000000000000, 0.39999999999999991 },
3411   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3412           4.0000000000000000, 0.50000000000000000 },
3413   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3414           4.0000000000000000, 0.60000000000000009 },
3415   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3416           4.0000000000000000, 0.69999999999999996 },
3417   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3418           4.0000000000000000, 0.80000000000000004 },
3419   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3420           4.0000000000000000, 0.89999999999999991 },
3421 };
3422 const double toler072 = 2.5000000000000020e-13;
3423
3424 // Test data for a=1.0000000000000000, b=0.0000000000000000, c=6.0000000000000000.
3425 // max(|f - f_GSL|): 0.0000000000000000
3426 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
3427 const testcase_hyperg<double>
3428 data073[19] =
3429 {
3430   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3431           6.0000000000000000, -0.90000000000000002 },
3432   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3433           6.0000000000000000, -0.80000000000000004 },
3434   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3435           6.0000000000000000, -0.69999999999999996 },
3436   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3437           6.0000000000000000, -0.59999999999999998 },
3438   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3439           6.0000000000000000, -0.50000000000000000 },
3440   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3441           6.0000000000000000, -0.40000000000000002 },
3442   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3443           6.0000000000000000, -0.30000000000000004 },
3444   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3445           6.0000000000000000, -0.19999999999999996 },
3446   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3447           6.0000000000000000, -0.099999999999999978 },
3448   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3449           6.0000000000000000, 0.0000000000000000 },
3450   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3451           6.0000000000000000, 0.10000000000000009 },
3452   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3453           6.0000000000000000, 0.19999999999999996 },
3454   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3455           6.0000000000000000, 0.30000000000000004 },
3456   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3457           6.0000000000000000, 0.39999999999999991 },
3458   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3459           6.0000000000000000, 0.50000000000000000 },
3460   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3461           6.0000000000000000, 0.60000000000000009 },
3462   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3463           6.0000000000000000, 0.69999999999999996 },
3464   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3465           6.0000000000000000, 0.80000000000000004 },
3466   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3467           6.0000000000000000, 0.89999999999999991 },
3468 };
3469 const double toler073 = 2.5000000000000020e-13;
3470
3471 // Test data for a=1.0000000000000000, b=0.0000000000000000, c=8.0000000000000000.
3472 // max(|f - f_GSL|): 0.0000000000000000
3473 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
3474 const testcase_hyperg<double>
3475 data074[19] =
3476 {
3477   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3478           8.0000000000000000, -0.90000000000000002 },
3479   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3480           8.0000000000000000, -0.80000000000000004 },
3481   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3482           8.0000000000000000, -0.69999999999999996 },
3483   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3484           8.0000000000000000, -0.59999999999999998 },
3485   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3486           8.0000000000000000, -0.50000000000000000 },
3487   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3488           8.0000000000000000, -0.40000000000000002 },
3489   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3490           8.0000000000000000, -0.30000000000000004 },
3491   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3492           8.0000000000000000, -0.19999999999999996 },
3493   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3494           8.0000000000000000, -0.099999999999999978 },
3495   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3496           8.0000000000000000, 0.0000000000000000 },
3497   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3498           8.0000000000000000, 0.10000000000000009 },
3499   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3500           8.0000000000000000, 0.19999999999999996 },
3501   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3502           8.0000000000000000, 0.30000000000000004 },
3503   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3504           8.0000000000000000, 0.39999999999999991 },
3505   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3506           8.0000000000000000, 0.50000000000000000 },
3507   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3508           8.0000000000000000, 0.60000000000000009 },
3509   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3510           8.0000000000000000, 0.69999999999999996 },
3511   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3512           8.0000000000000000, 0.80000000000000004 },
3513   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3514           8.0000000000000000, 0.89999999999999991 },
3515 };
3516 const double toler074 = 2.5000000000000020e-13;
3517
3518 // Test data for a=1.0000000000000000, b=0.0000000000000000, c=10.000000000000000.
3519 // max(|f - f_GSL|): 0.0000000000000000
3520 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
3521 const testcase_hyperg<double>
3522 data075[19] =
3523 {
3524   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3525           10.000000000000000, -0.90000000000000002 },
3526   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3527           10.000000000000000, -0.80000000000000004 },
3528   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3529           10.000000000000000, -0.69999999999999996 },
3530   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3531           10.000000000000000, -0.59999999999999998 },
3532   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3533           10.000000000000000, -0.50000000000000000 },
3534   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3535           10.000000000000000, -0.40000000000000002 },
3536   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3537           10.000000000000000, -0.30000000000000004 },
3538   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3539           10.000000000000000, -0.19999999999999996 },
3540   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3541           10.000000000000000, -0.099999999999999978 },
3542   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3543           10.000000000000000, 0.0000000000000000 },
3544   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3545           10.000000000000000, 0.10000000000000009 },
3546   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3547           10.000000000000000, 0.19999999999999996 },
3548   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3549           10.000000000000000, 0.30000000000000004 },
3550   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3551           10.000000000000000, 0.39999999999999991 },
3552   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3553           10.000000000000000, 0.50000000000000000 },
3554   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3555           10.000000000000000, 0.60000000000000009 },
3556   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3557           10.000000000000000, 0.69999999999999996 },
3558   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3559           10.000000000000000, 0.80000000000000004 },
3560   { 1.0000000000000000, 1.0000000000000000, 0.0000000000000000,
3561           10.000000000000000, 0.89999999999999991 },
3562 };
3563 const double toler075 = 2.5000000000000020e-13;
3564
3565 // Test data for a=1.0000000000000000, b=0.50000000000000000, c=2.0000000000000000.
3566 // max(|f - f_GSL|): 6.6613381477509392e-16
3567 // max(|f - f_GSL| / |f_GSL|): 4.3839191144484910e-16
3568 const testcase_hyperg<double>
3569 data076[19] =
3570 {
3571   { 0.84089972268671531, 1.0000000000000000, 0.50000000000000000,
3572           2.0000000000000000, -0.90000000000000002 },
3573   { 0.85410196624968460, 1.0000000000000000, 0.50000000000000000,
3574           2.0000000000000000, -0.80000000000000004 },
3575   { 0.86811566011579955, 1.0000000000000000, 0.50000000000000000,
3576           2.0000000000000000, -0.69999999999999996 },
3577   { 0.88303688022450522, 1.0000000000000000, 0.50000000000000000,
3578           2.0000000000000000, -0.59999999999999998 },
3579   { 0.89897948556635621, 1.0000000000000000, 0.50000000000000000,
3580           2.0000000000000000, -0.50000000000000000 },
3581   { 0.91607978309961580, 1.0000000000000000, 0.50000000000000000,
3582           2.0000000000000000, -0.40000000000000002 },
3583   { 0.93450283399425305, 1.0000000000000000, 0.50000000000000000,
3584           2.0000000000000000, -0.30000000000000004 },
3585   { 0.95445115010332193, 1.0000000000000000, 0.50000000000000000,
3586           2.0000000000000000, -0.19999999999999996 },
3587   { 0.97617696340303095, 1.0000000000000000, 0.50000000000000000,
3588           2.0000000000000000, -0.099999999999999978 },
3589   { 1.0000000000000000, 1.0000000000000000, 0.50000000000000000,
3590           2.0000000000000000, 0.0000000000000000 },
3591   { 1.0263340389897240, 1.0000000000000000, 0.50000000000000000,
3592           2.0000000000000000, 0.10000000000000009 },
3593   { 1.0557280900008410, 1.0000000000000000, 0.50000000000000000,
3594           2.0000000000000000, 0.19999999999999996 },
3595   { 1.0889331564394962, 1.0000000000000000, 0.50000000000000000,
3596           2.0000000000000000, 0.30000000000000004 },
3597   { 1.1270166537925830, 1.0000000000000000, 0.50000000000000000,
3598           2.0000000000000000, 0.39999999999999991 },
3599   { 1.1715728752538095, 1.0000000000000000, 0.50000000000000000,
3600           2.0000000000000000, 0.50000000000000000 },
3601   { 1.2251482265544145, 1.0000000000000000, 0.50000000000000000,
3602           2.0000000000000000, 0.60000000000000009 },
3603   { 1.2922212642709541, 1.0000000000000000, 0.50000000000000000,
3604           2.0000000000000000, 0.69999999999999996 },
3605   { 1.3819660112501042, 1.0000000000000000, 0.50000000000000000,
3606           2.0000000000000000, 0.80000000000000004 },
3607   { 1.5194938532959119, 1.0000000000000000, 0.50000000000000000,
3608           2.0000000000000000, 0.89999999999999991 },
3609 };
3610 const double toler076 = 2.5000000000000020e-13;
3611
3612 // Test data for a=1.0000000000000000, b=0.50000000000000000, c=4.0000000000000000.
3613 // max(|f - f_GSL|): 2.2204460492503131e-16
3614 // max(|f - f_GSL| / |f_GSL|): 2.1628301908162427e-16
3615 const testcase_hyperg<double>
3616 data077[19] =
3617 {
3618   { 0.90992197313391454, 1.0000000000000000, 0.50000000000000000,
3619           4.0000000000000000, -0.90000000000000002 },
3620   { 0.91822592662244484, 1.0000000000000000, 0.50000000000000000,
3621           4.0000000000000000, -0.80000000000000004 },
3622   { 0.92687104566419554, 1.0000000000000000, 0.50000000000000000,
3623           4.0000000000000000, -0.69999999999999996 },
3624   { 0.93588628166548848, 1.0000000000000000, 0.50000000000000000,
3625           4.0000000000000000, -0.59999999999999998 },
3626   { 0.94530459215552909, 1.0000000000000000, 0.50000000000000000,
3627           4.0000000000000000, -0.50000000000000000 },
3628   { 0.95516374875247456, 1.0000000000000000, 0.50000000000000000,
3629           4.0000000000000000, -0.40000000000000002 },
3630   { 0.96550736800511849, 1.0000000000000000, 0.50000000000000000,
3631           4.0000000000000000, -0.30000000000000004 },
3632   { 0.97638624595136270, 1.0000000000000000, 0.50000000000000000,
3633           4.0000000000000000, -0.19999999999999996 },
3634   { 0.98786011482678993, 1.0000000000000000, 0.50000000000000000,
3635           4.0000000000000000, -0.099999999999999978 },
3636   { 1.0000000000000000, 1.0000000000000000, 0.50000000000000000,
3637           4.0000000000000000, 0.0000000000000000 },
3638   { 1.0128914530682316, 1.0000000000000000, 0.50000000000000000,
3639           4.0000000000000000, 0.10000000000000009 },
3640   { 1.0266391040215350, 1.0000000000000000, 0.50000000000000000,
3641           4.0000000000000000, 0.19999999999999996 },
3642   { 1.0413732738729464, 1.0000000000000000, 0.50000000000000000,
3643           4.0000000000000000, 0.30000000000000004 },
3644   { 1.0572599536532992, 1.0000000000000000, 0.50000000000000000,
3645           4.0000000000000000, 0.39999999999999991 },
3646   { 1.0745166004060953, 1.0000000000000000, 0.50000000000000000,
3647           4.0000000000000000, 0.50000000000000000 },
3648   { 1.0934387388831386, 1.0000000000000000, 0.50000000000000000,
3649           4.0000000000000000, 0.60000000000000009 },
3650   { 1.1144486980714641, 1.0000000000000000, 0.50000000000000000,
3651           4.0000000000000000, 0.69999999999999996 },
3652   { 1.1381966011250106, 1.0000000000000000, 0.50000000000000000,
3653           4.0000000000000000, 0.80000000000000004 },
3654   { 1.1658171625342397, 1.0000000000000000, 0.50000000000000000,
3655           4.0000000000000000, 0.89999999999999991 },
3656 };
3657 const double toler077 = 2.5000000000000020e-13;
3658
3659 // Test data for a=1.0000000000000000, b=0.50000000000000000, c=6.0000000000000000.
3660 // max(|f - f_GSL|): 4.4408920985006262e-16
3661 // max(|f - f_GSL| / |f_GSL|): 4.5130734546221216e-16
3662 const testcase_hyperg<double>
3663 data078[19] =
3664 {
3665   { 0.93641908369732896, 1.0000000000000000, 0.50000000000000000,
3666           6.0000000000000000, -0.90000000000000002 },
3667   { 0.94256349654111271, 1.0000000000000000, 0.50000000000000000,
3668           6.0000000000000000, -0.80000000000000004 },
3669   { 0.94890138508461319, 1.0000000000000000, 0.50000000000000000,
3670           6.0000000000000000, -0.69999999999999996 },
3671   { 0.95544578858430029, 1.0000000000000000, 0.50000000000000000,
3672           6.0000000000000000, -0.59999999999999998 },
3673   { 0.96221121193620762, 1.0000000000000000, 0.50000000000000000,
3674           6.0000000000000000, -0.50000000000000000 },
3675   { 0.96921386948293542, 1.0000000000000000, 0.50000000000000000,
3676           6.0000000000000000, -0.40000000000000002 },
3677   { 0.97647198488394704, 1.0000000000000000, 0.50000000000000000,
3678           6.0000000000000000, -0.30000000000000004 },
3679   { 0.98400616412578656, 1.0000000000000000, 0.50000000000000000,
3680           6.0000000000000000, -0.19999999999999996 },
3681   { 0.99183986544963032, 1.0000000000000000, 0.50000000000000000,
3682           6.0000000000000000, -0.099999999999999978 },
3683   { 1.0000000000000000, 1.0000000000000000, 0.50000000000000000,
3684           6.0000000000000000, 0.0000000000000000 },
3685   { 1.0085177124149158, 1.0000000000000000, 0.50000000000000000,
3686           6.0000000000000000, 0.10000000000000009 },
3687   { 1.0174294150407122, 1.0000000000000000, 0.50000000000000000,
3688           6.0000000000000000, 0.19999999999999996 },
3689   { 1.0267781897388850, 1.0000000000000000, 0.50000000000000000,
3690           6.0000000000000000, 0.30000000000000004 },
3691   { 1.0366157405967285, 1.0000000000000000, 0.50000000000000000,
3692           6.0000000000000000, 0.39999999999999991 },
3693   { 1.0470052068648839, 1.0000000000000000, 0.50000000000000000,
3694           6.0000000000000000, 0.50000000000000000 },
3695   { 1.0580253905513313, 1.0000000000000000, 0.50000000000000000,
3696           6.0000000000000000, 0.60000000000000009 },
3697   { 1.0697774741209765, 1.0000000000000000, 0.50000000000000000,
3698           6.0000000000000000, 0.69999999999999996 },
3699   { 1.0823965556448414, 1.0000000000000000, 0.50000000000000000,
3700           6.0000000000000000, 0.80000000000000004 },
3701   { 1.0960739512057103, 1.0000000000000000, 0.50000000000000000,
3702           6.0000000000000000, 0.89999999999999991 },
3703 };
3704 const double toler078 = 2.5000000000000020e-13;
3705
3706 // Test data for a=1.0000000000000000, b=0.50000000000000000, c=8.0000000000000000.
3707 // max(|f - f_GSL|): 4.4408920985006262e-16
3708 // max(|f - f_GSL| / |f_GSL|): 4.4952983921284566e-16
3709 const testcase_hyperg<double>
3710 data079[19] =
3711 {
3712   { 0.95069883346936235, 1.0000000000000000, 0.50000000000000000,
3713           8.0000000000000000, -0.90000000000000002 },
3714   { 0.95559618047704131, 1.0000000000000000, 0.50000000000000000,
3715           8.0000000000000000, -0.80000000000000004 },
3716   { 0.96061938755931664, 1.0000000000000000, 0.50000000000000000,
3717           8.0000000000000000, -0.69999999999999996 },
3718   { 0.96577553912851333, 1.0000000000000000, 0.50000000000000000,
3719           8.0000000000000000, -0.59999999999999998 },
3720   { 0.97107239473807716, 1.0000000000000000, 0.50000000000000000,
3721           8.0000000000000000, -0.50000000000000000 },
3722   { 0.97651848528588481, 1.0000000000000000, 0.50000000000000000,
3723           8.0000000000000000, -0.40000000000000002 },
3724   { 0.98212322830227150, 1.0000000000000000, 0.50000000000000000,
3725           8.0000000000000000, -0.30000000000000004 },
3726   { 0.98789706736195781, 1.0000000000000000, 0.50000000000000000,
3727           8.0000000000000000, -0.19999999999999996 },
3728   { 0.99385164237825074, 1.0000000000000000, 0.50000000000000000,
3729           8.0000000000000000, -0.099999999999999978 },
3730   { 1.0000000000000000, 1.0000000000000000, 0.50000000000000000,
3731           8.0000000000000000, 0.0000000000000000 },
3732   { 1.0063568569383123, 1.0000000000000000, 0.50000000000000000,
3733           8.0000000000000000, 0.10000000000000009 },
3734   { 1.0129389344715818, 1.0000000000000000, 0.50000000000000000,
3735           8.0000000000000000, 0.19999999999999996 },
3736   { 1.0197653907773940, 1.0000000000000000, 0.50000000000000000,
3737           8.0000000000000000, 0.30000000000000004 },
3738   { 1.0268583912277143, 1.0000000000000000, 0.50000000000000000,
3739           8.0000000000000000, 0.39999999999999991 },
3740   { 1.0342438793937092, 1.0000000000000000, 0.50000000000000000,
3741           8.0000000000000000, 0.50000000000000000 },
3742   { 1.0419526514766855, 1.0000000000000000, 0.50000000000000000,
3743           8.0000000000000000, 0.60000000000000009 },
3744   { 1.0500219124976327, 1.0000000000000000, 0.50000000000000000,
3745           8.0000000000000000, 0.69999999999999996 },
3746   { 1.0584976491907043, 1.0000000000000000, 0.50000000000000000,
3747           8.0000000000000000, 0.80000000000000004 },
3748   { 1.0674385240268101, 1.0000000000000000, 0.50000000000000000,
3749           8.0000000000000000, 0.89999999999999991 },
3750 };
3751 const double toler079 = 2.5000000000000020e-13;
3752
3753 // Test data for a=1.0000000000000000, b=0.50000000000000000, c=10.000000000000000.
3754 // max(|f - f_GSL|): 2.2204460492503131e-16
3755 // max(|f - f_GSL| / |f_GSL|): 2.2314542629443562e-16
3756 const testcase_hyperg<double>
3757 data080[19] =
3758 {
3759   { 0.95968319138913905, 1.0000000000000000, 0.50000000000000000,
3760           10.000000000000000, -0.90000000000000002 },
3761   { 0.96376169072755802, 1.0000000000000000, 0.50000000000000000,
3762           10.000000000000000, -0.80000000000000004 },
3763   { 0.96792900082729372, 1.0000000000000000, 0.50000000000000000,
3764           10.000000000000000, -0.69999999999999996 },
3765   { 0.97218942798115737, 1.0000000000000000, 0.50000000000000000,
3766           10.000000000000000, -0.59999999999999998 },
3767   { 0.97654763592586835, 1.0000000000000000, 0.50000000000000000,
3768           10.000000000000000, -0.50000000000000000 },
3769   { 0.98100869054353879, 1.0000000000000000, 0.50000000000000000,
3770           10.000000000000000, -0.40000000000000002 },
3771   { 0.98557811238699278, 1.0000000000000000, 0.50000000000000000,
3772           10.000000000000000, -0.30000000000000004 },
3773   { 0.99026193885795544, 1.0000000000000000, 0.50000000000000000,
3774           10.000000000000000, -0.19999999999999996 },
3775   { 0.99506679842072221, 1.0000000000000000, 0.50000000000000000,
3776           10.000000000000000, -0.099999999999999978 },
3777   { 1.0000000000000000, 1.0000000000000000, 0.50000000000000000,
3778           10.000000000000000, 0.0000000000000000 },
3779   { 1.0050696417919618, 1.0000000000000000, 0.50000000000000000,
3780           10.000000000000000, 0.10000000000000009 },
3781   { 1.0102847452747090, 1.0000000000000000, 0.50000000000000000,
3782           10.000000000000000, 0.19999999999999996 },
3783   { 1.0156554225057022, 1.0000000000000000, 0.50000000000000000,
3784           10.000000000000000, 0.30000000000000004 },
3785   { 1.0211930882963096, 1.0000000000000000, 0.50000000000000000,
3786           10.000000000000000, 0.39999999999999991 },
3787   { 1.0269107343740711, 1.0000000000000000, 0.50000000000000000,
3788           10.000000000000000, 0.50000000000000000 },
3789   { 1.0328232917216298, 1.0000000000000000, 0.50000000000000000,
3790           10.000000000000000, 0.60000000000000009 },
3791   { 1.0389481230247195, 1.0000000000000000, 0.50000000000000000,
3792           10.000000000000000, 0.69999999999999996 },
3793   { 1.0453057164134614, 1.0000000000000000, 0.50000000000000000,
3794           10.000000000000000, 0.80000000000000004 },
3795   { 1.0519207114461246, 1.0000000000000000, 0.50000000000000000,
3796           10.000000000000000, 0.89999999999999991 },
3797 };
3798 const double toler080 = 2.5000000000000020e-13;
3799
3800 // Test data for a=1.0000000000000000, b=1.0000000000000000, c=2.0000000000000000.
3801 // max(|f - f_GSL|): 3.5527136788005009e-15
3802 // max(|f - f_GSL| / |f_GSL|): 1.3886315518367356e-15
3803 const testcase_hyperg<double>
3804 data081[19] =
3805 {
3806   { 0.71317098463599415, 1.0000000000000000, 1.0000000000000000,
3807           2.0000000000000000, -0.90000000000000002 },
3808   { 0.73473333112764883, 1.0000000000000000, 1.0000000000000000,
3809           2.0000000000000000, -0.80000000000000004 },
3810   { 0.75804035866024344, 1.0000000000000000, 1.0000000000000000,
3811           2.0000000000000000, -0.69999999999999996 },
3812   { 0.78333938207622589, 1.0000000000000000, 1.0000000000000000,
3813           2.0000000000000000, -0.59999999999999998 },
3814   { 0.81093021621632866, 1.0000000000000000, 1.0000000000000000,
3815           2.0000000000000000, -0.50000000000000000 },
3816   { 0.84118059155303193, 1.0000000000000000, 1.0000000000000000,
3817           2.0000000000000000, -0.40000000000000002 },
3818   { 0.87454754822497016, 1.0000000000000000, 1.0000000000000000,
3819           2.0000000000000000, -0.30000000000000004 },
3820   { 0.91160778396977304, 1.0000000000000000, 1.0000000000000000,
3821           2.0000000000000000, -0.19999999999999996 },
3822   { 0.95310179804324857, 1.0000000000000000, 1.0000000000000000,
3823           2.0000000000000000, -0.099999999999999978 },
3824   { 1.0000000000000000, 1.0000000000000000, 1.0000000000000000,
3825           2.0000000000000000, 0.0000000000000000 },
3826   { 1.0536051565782629, 1.0000000000000000, 1.0000000000000000,
3827           2.0000000000000000, 0.10000000000000009 },
3828   { 1.1157177565710485, 1.0000000000000000, 1.0000000000000000,
3829           2.0000000000000000, 0.19999999999999996 },
3830   { 1.1889164797957747, 1.0000000000000000, 1.0000000000000000,
3831           2.0000000000000000, 0.30000000000000004 },
3832   { 1.2770640594149765, 1.0000000000000000, 1.0000000000000000,
3833           2.0000000000000000, 0.39999999999999991 },
3834   { 1.3862943611198899, 1.0000000000000000, 1.0000000000000000,
3835           2.0000000000000000, 0.50000000000000000 },
3836   { 1.5271512197902593, 1.0000000000000000, 1.0000000000000000,
3837           2.0000000000000000, 0.60000000000000009 },
3838   { 1.7199611490370503, 1.0000000000000000, 1.0000000000000000,
3839           2.0000000000000000, 0.69999999999999996 },
3840   { 2.0117973905426232, 1.0000000000000000, 1.0000000000000000,
3841           2.0000000000000000, 0.80000000000000004 },
3842   { 2.5584278811044912, 1.0000000000000000, 1.0000000000000000,
3843           2.0000000000000000, 0.89999999999999991 },
3844 };
3845 const double toler081 = 2.5000000000000020e-13;
3846
3847 // Test data for a=1.0000000000000000, b=1.0000000000000000, c=4.0000000000000000.
3848 // max(|f - f_GSL|): 4.4408920985006262e-16
3849 // max(|f - f_GSL| / |f_GSL|): 4.5503149336769291e-16
3850 const testcase_hyperg<double>
3851 data082[19] =
3852 {
3853   { 0.83165649828125487, 1.0000000000000000, 1.0000000000000000,
3854           4.0000000000000000, -0.90000000000000002 },
3855   { 0.84626246650116621, 1.0000000000000000, 1.0000000000000000,
3856           4.0000000000000000, -0.80000000000000004 },
3857   { 0.86165287670267476, 1.0000000000000000, 1.0000000000000000,
3858           4.0000000000000000, -0.69999999999999996 },
3859   { 0.87790681762615264, 1.0000000000000000, 1.0000000000000000,
3860           4.0000000000000000, -0.59999999999999998 },
3861   { 0.89511583784087634, 1.0000000000000000, 1.0000000000000000,
3862           4.0000000000000000, -0.50000000000000000 },
3863   { 0.91338673957393834, 1.0000000000000000, 1.0000000000000000,
3864           4.0000000000000000, -0.40000000000000002 },
3865   { 0.93284521667332010, 1.0000000000000000, 1.0000000000000000,
3866           4.0000000000000000, -0.30000000000000004 },
3867   { 0.95364066873549813, 1.0000000000000000, 1.0000000000000000,
3868           4.0000000000000000, -0.19999999999999996 },
3869   { 0.97595268969924187, 1.0000000000000000, 1.0000000000000000,
3870           4.0000000000000000, -0.099999999999999978 },
3871   { 1.0000000000000000, 1.0000000000000000, 1.0000000000000000,
3872           4.0000000000000000, 0.0000000000000000 },
3873   { 1.0260530485179122, 1.0000000000000000, 1.0000000000000000,
3874           4.0000000000000000, 0.10000000000000009 },
3875   { 1.0544523154103413, 1.0000000000000000, 1.0000000000000000,
3876           4.0000000000000000, 0.19999999999999996 },
3877   { 1.0856358366643180, 1.0000000000000000, 1.0000000000000000,
3878           4.0000000000000000, 0.30000000000000004 },
3879   { 1.1201824010510930, 1.0000000000000000, 1.0000000000000000,
3880           4.0000000000000000, 0.39999999999999991 },
3881   { 1.1588830833596719, 1.0000000000000000, 1.0000000000000000,
3882           4.0000000000000000, 0.50000000000000000 },
3883   { 1.2028682930536780, 1.0000000000000000, 1.0000000000000000,
3884           4.0000000000000000, 0.60000000000000009 },
3885   { 1.2538561433469468, 1.0000000000000000, 1.0000000000000000,
3886           4.0000000000000000, 0.69999999999999996 },
3887   { 1.3147120107267418, 1.0000000000000000, 1.0000000000000000,
3888           4.0000000000000000, 0.80000000000000004 },
3889   { 1.3910528844853491, 1.0000000000000000, 1.0000000000000000,
3890           4.0000000000000000, 0.89999999999999991 },
3891 };
3892 const double toler082 = 2.5000000000000020e-13;
3893
3894 // Test data for a=1.0000000000000000, b=1.0000000000000000, c=6.0000000000000000.
3895 // max(|f - f_GSL|): 4.4408920985006262e-16
3896 // max(|f - f_GSL| / |f_GSL|): 4.5856134910670077e-16
3897 const testcase_hyperg<double>
3898 data083[19] =
3899 {
3900   { 0.87917686994924560, 1.0000000000000000, 1.0000000000000000,
3901           6.0000000000000000, -0.90000000000000002 },
3902   { 0.89033956110358403, 1.0000000000000000, 1.0000000000000000,
3903           6.0000000000000000, -0.80000000000000004 },
3904   { 0.90196195126098355, 1.0000000000000000, 1.0000000000000000,
3905           6.0000000000000000, -0.69999999999999996 },
3906   { 0.91408080149514681, 1.0000000000000000, 1.0000000000000000,
3907           6.0000000000000000, -0.59999999999999998 },
3908   { 0.92673756761314952, 1.0000000000000000, 1.0000000000000000,
3909           6.0000000000000000, -0.50000000000000000 },
3910   { 0.93997926630123430, 1.0000000000000000, 1.0000000000000000,
3911           6.0000000000000000, -0.40000000000000002 },
3912   { 0.95385955885019325, 1.0000000000000000, 1.0000000000000000,
3913           6.0000000000000000, -0.30000000000000004 },
3914   { 0.96844012412988900, 1.0000000000000000, 1.0000000000000000,
3915           6.0000000000000000, -0.19999999999999996 },
3916   { 0.98379242268046208, 1.0000000000000000, 1.0000000000000000,
3917           6.0000000000000000, -0.099999999999999978 },
3918   { 1.0000000000000000, 1.0000000000000000, 1.0000000000000000,
3919           6.0000000000000000, 0.0000000000000000 },
3920   { 1.0171615499181177, 1.0000000000000000, 1.0000000000000000,
3921           6.0000000000000000, 0.10000000000000009 },
3922   { 1.0353950776091037, 1.0000000000000000, 1.0000000000000000,
3923           6.0000000000000000, 0.19999999999999996 },
3924   { 1.0548437030651112, 1.0000000000000000, 1.0000000000000000,
3925           6.0000000000000000, 0.30000000000000004 },
3926   { 1.0756840039415978, 1.0000000000000000, 1.0000000000000000,
3927           6.0000000000000000, 0.39999999999999991 },
3928   { 1.0981384722661196, 1.0000000000000000, 1.0000000000000000,
3929           6.0000000000000000, 0.50000000000000000 },
3930   { 1.1224950318916129, 1.0000000000000000, 1.0000000000000000,
3931           6.0000000000000000, 0.60000000000000009 },
3932   { 1.1491396357184527, 1.0000000000000000, 1.0000000000000000,
3933           6.0000000000000000, 0.69999999999999996 },
3934   { 1.1786158344507012, 1.0000000000000000, 1.0000000000000000,
3935           6.0000000000000000, 0.80000000000000004 },
3936   { 1.2117500593515478, 1.0000000000000000, 1.0000000000000000,
3937           6.0000000000000000, 0.89999999999999991 },
3938 };
3939 const double toler083 = 2.5000000000000020e-13;
3940
3941 // Test data for a=1.0000000000000000, b=1.0000000000000000, c=8.0000000000000000.
3942 // max(|f - f_GSL|): 3.3306690738754696e-16
3943 // max(|f - f_GSL| / |f_GSL|): 3.4123997230344747e-16
3944 const testcase_hyperg<double>
3945 data084[19] =
3946 {
3947   { 0.90538259348578420, 1.0000000000000000, 1.0000000000000000,
3948           8.0000000000000000, -0.90000000000000002 },
3949   { 0.91444830598832061, 1.0000000000000000, 1.0000000000000000,
3950           8.0000000000000000, -0.80000000000000004 },
3951   { 0.92381915945973991, 1.0000000000000000, 1.0000000000000000,
3952           8.0000000000000000, -0.69999999999999996 },
3953   { 0.93351553488501793, 1.0000000000000000, 1.0000000000000000,
3954           8.0000000000000000, -0.59999999999999998 },
3955   { 0.94356001859234861, 1.0000000000000000, 1.0000000000000000,
3956           8.0000000000000000, -0.50000000000000000 },
3957   { 0.95397775039949584, 1.0000000000000000, 1.0000000000000000,
3958           8.0000000000000000, -0.40000000000000002 },
3959   { 0.96479684710618019, 1.0000000000000000, 1.0000000000000000,
3960           8.0000000000000000, -0.30000000000000004 },
3961   { 0.97604892281308531, 1.0000000000000000, 1.0000000000000000,
3962           8.0000000000000000, -0.19999999999999996 },
3963   { 0.98776973540356938, 1.0000000000000000, 1.0000000000000000,
3964           8.0000000000000000, -0.099999999999999978 },
3965   { 1.0000000000000000, 1.0000000000000000, 1.0000000000000000,
3966           8.0000000000000000, 0.0000000000000000 },
3967   { 1.0127864273812119, 1.0000000000000000, 1.0000000000000000,
3968           8.0000000000000000, 0.10000000000000009 },
3969   { 1.0261830717772533, 1.0000000000000000, 1.0000000000000000,
3970           8.0000000000000000, 0.19999999999999996 },
3971   { 1.0402531144740719, 1.0000000000000000, 1.0000000000000000,
3972           8.0000000000000000, 0.30000000000000004 },
3973   { 1.0550712790827002, 1.0000000000000000, 1.0000000000000000,
3974           8.0000000000000000, 0.39999999999999991 },
3975   { 1.0707271945059007, 1.0000000000000000, 1.0000000000000000,
3976           8.0000000000000000, 0.50000000000000000 },
3977   { 1.0873302420658923, 1.0000000000000000, 1.0000000000000000,
3978           8.0000000000000000, 0.60000000000000009 },
3979   { 1.1050168587085545, 1.0000000000000000, 1.0000000000000000,
3980           8.0000000000000000, 0.69999999999999996 },
3981   { 1.1239622188477687, 1.0000000000000000, 1.0000000000000000,
3982           8.0000000000000000, 0.80000000000000004 },
3983   { 1.1444006183097781, 1.0000000000000000, 1.0000000000000000,
3984           8.0000000000000000, 0.89999999999999991 },
3985 };
3986 const double toler084 = 2.5000000000000020e-13;
3987
3988 // Test data for a=1.0000000000000000, b=1.0000000000000000, c=10.000000000000000.
3989 // max(|f - f_GSL|): 3.3306690738754696e-16
3990 // max(|f - f_GSL| / |f_GSL|): 3.3962402892941561e-16
3991 const testcase_hyperg<double>
3992 data085[19] =
3993 {
3994   { 0.92211295632330392, 1.0000000000000000, 1.0000000000000000,
3995           10.000000000000000, -0.90000000000000002 },
3996   { 0.92975727737040625, 1.0000000000000000, 1.0000000000000000,
3997           10.000000000000000, -0.80000000000000004 },
3998   { 0.93761992348333489, 1.0000000000000000, 1.0000000000000000,
3999           10.000000000000000, -0.69999999999999996 },
4000   { 0.94571346180587790, 1.0000000000000000, 1.0000000000000000,
4001           10.000000000000000, -0.59999999999999998 },
4002   { 0.95405164371146900, 1.0000000000000000, 1.0000000000000000,
4003           10.000000000000000, -0.50000000000000000 },
4004   { 0.96264956879205976, 1.0000000000000000, 1.0000000000000000,
4005           10.000000000000000, -0.40000000000000002 },
4006   { 0.97152388013493107, 1.0000000000000000, 1.0000000000000000,
4007           10.000000000000000, -0.30000000000000004 },
4008   { 0.98069299877709348, 1.0000000000000000, 1.0000000000000000,
4009           10.000000000000000, -0.19999999999999996 },
4010   { 0.99017740778385854, 1.0000000000000000, 1.0000000000000000,
4011           10.000000000000000, -0.099999999999999978 },
4012   { 1.0000000000000000, 1.0000000000000000, 1.0000000000000000,
4013           10.000000000000000, 0.0000000000000000 },
4014   { 1.0101865087004833, 1.0000000000000000, 1.0000000000000000,
4015           10.000000000000000, 0.10000000000000009 },
4016   { 1.0207660479892111, 1.0000000000000000, 1.0000000000000000,
4017           10.000000000000000, 0.19999999999999996 },
4018   { 1.0317718013185031, 1.0000000000000000, 1.0000000000000000,
4019           10.000000000000000, 0.30000000000000004 },
4020   { 1.0432419144892398, 1.0000000000000000, 1.0000000000000000,
4021           10.000000000000000, 0.39999999999999991 },
4022   { 1.0552206786504446, 1.0000000000000000, 1.0000000000000000,
4023           10.000000000000000, 0.50000000000000000 },
4024   { 1.0677601383233675, 1.0000000000000000, 1.0000000000000000,
4025           10.000000000000000, 0.60000000000000009 },
4026   { 1.0809223485579968, 1.0000000000000000, 1.0000000000000000,
4027           10.000000000000000, 0.69999999999999996 },
4028   { 1.0947826783002668, 1.0000000000000000, 1.0000000000000000,
4029           10.000000000000000, 0.80000000000000004 },
4030   { 1.1094349304493603, 1.0000000000000000, 1.0000000000000000,
4031           10.000000000000000, 0.89999999999999991 },
4032 };
4033 const double toler085 = 2.5000000000000020e-13;
4034
4035 // Test data for a=1.0000000000000000, b=2.0000000000000000, c=2.0000000000000000.
4036 // max(|f - f_GSL|): 1.7763568394002505e-15
4037 // max(|f - f_GSL| / |f_GSL|): 2.1094237467877971e-16
4038 const testcase_hyperg<double>
4039 data086[19] =
4040 {
4041   { 0.52631578947368429, 1.0000000000000000, 2.0000000000000000,
4042           2.0000000000000000, -0.90000000000000002 },
4043   { 0.55555555555555558, 1.0000000000000000, 2.0000000000000000,
4044           2.0000000000000000, -0.80000000000000004 },
4045   { 0.58823529411764708, 1.0000000000000000, 2.0000000000000000,
4046           2.0000000000000000, -0.69999999999999996 },
4047   { 0.62500000000000000, 1.0000000000000000, 2.0000000000000000,
4048           2.0000000000000000, -0.59999999999999998 },
4049   { 0.66666666666666663, 1.0000000000000000, 2.0000000000000000,
4050           2.0000000000000000, -0.50000000000000000 },
4051   { 0.71428571428571430, 1.0000000000000000, 2.0000000000000000,
4052           2.0000000000000000, -0.40000000000000002 },
4053   { 0.76923076923076927, 1.0000000000000000, 2.0000000000000000,
4054           2.0000000000000000, -0.30000000000000004 },
4055   { 0.83333333333333337, 1.0000000000000000, 2.0000000000000000,
4056           2.0000000000000000, -0.19999999999999996 },
4057   { 0.90909090909090906, 1.0000000000000000, 2.0000000000000000,
4058           2.0000000000000000, -0.099999999999999978 },
4059   { 1.0000000000000000, 1.0000000000000000, 2.0000000000000000,
4060           2.0000000000000000, 0.0000000000000000 },
4061   { 1.1111111111111112, 1.0000000000000000, 2.0000000000000000,
4062           2.0000000000000000, 0.10000000000000009 },
4063   { 1.2500000000000000, 1.0000000000000000, 2.0000000000000000,
4064           2.0000000000000000, 0.19999999999999996 },
4065   { 1.4285714285714286, 1.0000000000000000, 2.0000000000000000,
4066           2.0000000000000000, 0.30000000000000004 },
4067   { 1.6666666666666663, 1.0000000000000000, 2.0000000000000000,
4068           2.0000000000000000, 0.39999999999999991 },
4069   { 2.0000000000000000, 1.0000000000000000, 2.0000000000000000,
4070           2.0000000000000000, 0.50000000000000000 },
4071   { 2.5000000000000004, 1.0000000000000000, 2.0000000000000000,
4072           2.0000000000000000, 0.60000000000000009 },
4073   { 3.3333333333333330, 1.0000000000000000, 2.0000000000000000,
4074           2.0000000000000000, 0.69999999999999996 },
4075   { 5.0000000000000009, 1.0000000000000000, 2.0000000000000000,
4076           2.0000000000000000, 0.80000000000000004 },
4077   { 9.9999999999999929, 1.0000000000000000, 2.0000000000000000,
4078           2.0000000000000000, 0.89999999999999991 },
4079 };
4080 const double toler086 = 2.5000000000000020e-13;
4081
4082 // Test data for a=1.0000000000000000, b=2.0000000000000000, c=4.0000000000000000.
4083 // max(|f - f_GSL|): 2.6645352591003757e-15
4084 // max(|f - f_GSL| / |f_GSL|): 1.2228571846595251e-15
4085 const testcase_hyperg<double>
4086 data087[19] =
4087 {
4088   { 0.70351947549341554, 1.0000000000000000, 2.0000000000000000,
4089           4.0000000000000000, -0.90000000000000002 },
4090   { 0.72637503722092756, 1.0000000000000000, 2.0000000000000000,
4091           4.0000000000000000, -0.80000000000000004 },
4092   { 0.75099661564391240, 1.0000000000000000, 2.0000000000000000,
4093           4.0000000000000000, -0.69999999999999996 },
4094   { 0.77761647796730871, 1.0000000000000000, 2.0000000000000000,
4095           4.0000000000000000, -0.59999999999999998 },
4096   { 0.80651221621216473, 1.0000000000000000, 2.0000000000000000,
4097           4.0000000000000000, -0.50000000000000000 },
4098   { 0.83801894346580241, 1.0000000000000000, 2.0000000000000000,
4099           4.0000000000000000, -0.40000000000000002 },
4100   { 0.87254582050258456, 1.0000000000000000, 2.0000000000000000,
4101           4.0000000000000000, -0.30000000000000004 },
4102   { 0.91059888544083678, 1.0000000000000000, 2.0000000000000000,
4103           4.0000000000000000, -0.19999999999999996 },
4104   { 0.95281329145592386, 1.0000000000000000, 2.0000000000000000,
4105           4.0000000000000000, -0.099999999999999978 },
4106   { 1.0000000000000000, 1.0000000000000000, 2.0000000000000000,
4107           4.0000000000000000, 0.0000000000000000 },
4108   { 1.0532154477379738, 1.0000000000000000, 2.0000000000000000,
4109           4.0000000000000000, 0.10000000000000009 },
4110   { 1.1138692114741471, 1.0000000000000000, 2.0000000000000000,
4111           4.0000000000000000, 0.19999999999999996 },
4112   { 1.1838976095305187, 1.0000000000000000, 2.0000000000000000,
4113           4.0000000000000000, 0.30000000000000004 },
4114   { 1.2660586631630237, 1.0000000000000000, 2.0000000000000000,
4115           4.0000000000000000, 0.39999999999999991 },
4116   { 1.3644676665613118, 1.0000000000000000, 2.0000000000000000,
4117           4.0000000000000000, 0.50000000000000000 },
4118   { 1.4856585347316102, 1.0000000000000000, 2.0000000000000000,
4119           4.0000000000000000, 0.60000000000000009 },
4120   { 1.6409590443536872, 1.0000000000000000, 2.0000000000000000,
4121           4.0000000000000000, 0.69999999999999996 },
4122   { 1.8528798927325769, 1.0000000000000000, 2.0000000000000000,
4123           4.0000000000000000, 0.80000000000000004 },
4124   { 2.1789423102929644, 1.0000000000000000, 2.0000000000000000,
4125           4.0000000000000000, 0.89999999999999991 },
4126 };
4127 const double toler087 = 2.5000000000000020e-13;
4128
4129 // Test data for a=1.0000000000000000, b=2.0000000000000000, c=6.0000000000000000.
4130 // max(|f - f_GSL|): 6.6613381477509392e-16
4131 // max(|f - f_GSL| / |f_GSL|): 4.3538225385592644e-16
4132 const testcase_hyperg<double>
4133 data088[19] =
4134 {
4135   { 0.78068027379106275, 1.0000000000000000, 2.0000000000000000,
4136           6.0000000000000000, -0.90000000000000002 },
4137   { 0.79924541976981278, 1.0000000000000000, 2.0000000000000000,
4138           6.0000000000000000, -0.80000000000000004 },
4139   { 0.81891305585650975, 1.0000000000000000, 2.0000000000000000,
4140           6.0000000000000000, -0.69999999999999996 },
4141   { 0.83979799626213247, 1.0000000000000000, 2.0000000000000000,
4142           6.0000000000000000, -0.59999999999999998 },
4143   { 0.86203315303160111, 1.0000000000000000, 2.0000000000000000,
4144           6.0000000000000000, -0.50000000000000000 },
4145   { 0.88577352485361693, 1.0000000000000000, 2.0000000000000000,
4146           6.0000000000000000, -0.40000000000000002 },
4147   { 0.91120135738402230, 1.0000000000000000, 2.0000000000000000,
4148           6.0000000000000000, -0.30000000000000004 },
4149   { 0.93853291956703588, 1.0000000000000000, 2.0000000000000000,
4150           6.0000000000000000, -0.19999999999999996 },
4151   { 0.96802755388922956, 1.0000000000000000, 2.0000000000000000,
4152           6.0000000000000000, -0.099999999999999978 },
4153   { 1.0000000000000000, 1.0000000000000000, 2.0000000000000000,
4154           6.0000000000000000, 0.0000000000000000 },
4155   { 1.0348375559194773, 1.0000000000000000, 2.0000000000000000,
4156           6.0000000000000000, 0.10000000000000009 },
4157   { 1.0730246119544820, 1.0000000000000000, 2.0000000000000000,
4158           6.0000000000000000, 0.19999999999999996 },
4159   { 1.1151788396279341, 1.0000000000000000, 2.0000000000000000,
4160           6.0000000000000000, 0.30000000000000004 },
4161   { 1.1621066403893472, 1.0000000000000000, 2.0000000000000000,
4162           6.0000000000000000, 0.39999999999999991 },
4163   { 1.2148922218710421, 1.0000000000000000, 2.0000000000000000,
4164           6.0000000000000000, 0.50000000000000000 },
4165   { 1.2750496810838674, 1.0000000000000000, 2.0000000000000000,
4166           6.0000000000000000, 0.60000000000000009 },
4167   { 1.3448048570872917, 1.0000000000000000, 2.0000000000000000,
4168           6.0000000000000000, 0.69999999999999996 },
4169   { 1.4276833109859521, 1.0000000000000000, 2.0000000000000000,
4170           6.0000000000000000, 0.80000000000000004 },
4171   { 1.5299976259379788, 1.0000000000000000, 2.0000000000000000,
4172           6.0000000000000000, 0.89999999999999991 },
4173 };
4174 const double toler088 = 2.5000000000000020e-13;
4175
4176 // Test data for a=1.0000000000000000, b=2.0000000000000000, c=8.0000000000000000.
4177 // max(|f - f_GSL|): 2.2204460492503131e-16
4178 // max(|f - f_GSL| / |f_GSL|): 2.3297369954770822e-16
4179 const testcase_hyperg<double>
4180 data089[19] =
4181 {
4182   { 0.82510759951857615, 1.0000000000000000, 2.0000000000000000,
4183           8.0000000000000000, -0.90000000000000002 },
4184   { 0.84072786892782070, 1.0000000000000000, 2.0000000000000000,
4185           8.0000000000000000, -0.80000000000000004 },
4186   { 0.85710884896562356, 1.0000000000000000, 2.0000000000000000,
4187           8.0000000000000000, -0.69999999999999996 },
4188   { 0.87431674418118244, 1.0000000000000000, 2.0000000000000000,
4189           8.0000000000000000, -0.59999999999999998 },
4190   { 0.89242659229726995, 1.0000000000000000, 2.0000000000000000,
4191           8.0000000000000000, -0.50000000000000000 },
4192   { 0.91152392685930350, 1.0000000000000000, 2.0000000000000000,
4193           8.0000000000000000, -0.40000000000000002 },
4194   { 0.93170685950993570, 1.0000000000000000, 2.0000000000000000,
4195           8.0000000000000000, -0.30000000000000004 },
4196   { 0.95308871926790661, 1.0000000000000000, 2.0000000000000000,
4197           8.0000000000000000, -0.19999999999999996 },
4198   { 0.97580144325325802, 1.0000000000000000, 2.0000000000000000,
4199           8.0000000000000000, -0.099999999999999978 },
4200   { 1.0000000000000000, 1.0000000000000000, 2.0000000000000000,
4201           8.0000000000000000, 0.0000000000000000 },
4202   { 1.0258682619030324, 1.0000000000000000, 2.0000000000000000,
4203           8.0000000000000000, 0.10000000000000009 },
4204   { 1.0536269616706000, 1.0000000000000000, 2.0000000000000000,
4205           8.0000000000000000, 0.19999999999999996 },
4206   { 1.0835447330793833, 1.0000000000000000, 2.0000000000000000,
4207           8.0000000000000000, 0.30000000000000004 },
4208   { 1.1159538758396654, 1.0000000000000000, 2.0000000000000000,
4209           8.0000000000000000, 0.39999999999999991 },
4210   { 1.1512736659291880, 1.0000000000000000, 2.0000000000000000,
4211           8.0000000000000000, 0.50000000000000000 },
4212   { 1.1900463690116090, 1.0000000000000000, 2.0000000000000000,
4213           8.0000000000000000, 0.60000000000000009 },
4214   { 1.2329961591622411, 1.0000000000000000, 2.0000000000000000,
4215           8.0000000000000000, 0.69999999999999996 },
4216   { 1.2811334345669059, 1.0000000000000000, 2.0000000000000000,
4217           8.0000000000000000, 0.80000000000000004 },
4218   { 1.3359629014132051, 1.0000000000000000, 2.0000000000000000,
4219           8.0000000000000000, 0.89999999999999991 },
4220 };
4221 const double toler089 = 2.5000000000000020e-13;
4222
4223 // Test data for a=1.0000000000000000, b=2.0000000000000000, c=10.000000000000000.
4224 // max(|f - f_GSL|): 4.4408920985006262e-16
4225 // max(|f - f_GSL| / |f_GSL|): 4.6160879869309861e-16
4226 const testcase_hyperg<double>
4227 data090[19] =
4228 {
4229   { 0.85426123653345876, 1.0000000000000000, 2.0000000000000000,
4230           10.000000000000000, -0.90000000000000002 },
4231   { 0.86774543390930414, 1.0000000000000000, 2.0000000000000000,
4232           10.000000000000000, -0.80000000000000004 },
4233   { 0.88178859537254239, 1.0000000000000000, 2.0000000000000000,
4234           10.000000000000000, -0.69999999999999996 },
4235   { 0.89643269097060951, 1.0000000000000000, 2.0000000000000000,
4236           10.000000000000000, -0.59999999999999998 },
4237   { 0.91172456687216819, 1.0000000000000000, 2.0000000000000000,
4238           10.000000000000000, -0.50000000000000000 },
4239   { 0.92771674975966123, 1.0000000000000000, 2.0000000000000000,
4240           10.000000000000000, -0.40000000000000002 },
4241   { 0.94446842993888647, 1.0000000000000000, 2.0000000000000000,
4242           10.000000000000000, -0.30000000000000004 },
4243   { 0.96204667481937678, 1.0000000000000000, 2.0000000000000000,
4244           10.000000000000000, -0.19999999999999996 },
4245   { 0.98052794339012128, 1.0000000000000000, 2.0000000000000000,
4246           10.000000000000000, -0.099999999999999978 },
4247   { 1.0000000000000000, 1.0000000000000000, 2.0000000000000000,
4248           10.000000000000000, 0.0000000000000000 },
4249   { 1.0205643671068179, 1.0000000000000000, 2.0000000000000000,
4250           10.000000000000000, 0.10000000000000009 },
4251   { 1.0423395201078882, 1.0000000000000000, 2.0000000000000000,
4252           10.000000000000000, 0.19999999999999996 },
4253   { 1.0654651277885334, 1.0000000000000000, 2.0000000000000000,
4254           10.000000000000000, 0.30000000000000004 },
4255   { 1.0901078068101382, 1.0000000000000000, 2.0000000000000000,
4256           10.000000000000000, 0.39999999999999991 },
4257   { 1.1164691415928940, 1.0000000000000000, 2.0000000000000000,
4258           10.000000000000000, 0.50000000000000000 },
4259   { 1.1447972335326551, 1.0000000000000000, 2.0000000000000000,
4260           10.000000000000000, 0.60000000000000009 },
4261   { 1.1754040384534161, 1.0000000000000000, 2.0000000000000000,
4262           10.000000000000000, 0.69999999999999996 },
4263   { 1.2086928679893112, 1.0000000000000000, 2.0000000000000000,
4264           10.000000000000000, 0.80000000000000004 },
4265   { 1.2452055640510711, 1.0000000000000000, 2.0000000000000000,
4266           10.000000000000000, 0.89999999999999991 },
4267 };
4268 const double toler090 = 2.5000000000000020e-13;
4269
4270 // Test data for a=1.0000000000000000, b=5.0000000000000000, c=2.0000000000000000.
4271 // max(|f - f_GSL|): 4.0927261579781771e-12
4272 // max(|f - f_GSL| / |f_GSL|): 1.4735287697491276e-15
4273 const testcase_hyperg<double>
4274 data091[19] =
4275 {
4276   { 0.25646288779245086, 1.0000000000000000, 5.0000000000000000,
4277           2.0000000000000000, -0.90000000000000002 },
4278   { 0.28273129096174376, 1.0000000000000000, 5.0000000000000000,
4279           2.0000000000000000, -0.80000000000000004 },
4280   { 0.31438201170962982, 1.0000000000000000, 5.0000000000000000,
4281           2.0000000000000000, -0.69999999999999996 },
4282   { 0.35308837890625017, 1.0000000000000000, 5.0000000000000000,
4283           2.0000000000000000, -0.59999999999999998 },
4284   { 0.40123456790123452, 1.0000000000000000, 5.0000000000000000,
4285           2.0000000000000000, -0.50000000000000000 },
4286   { 0.46230737192836308, 1.0000000000000000, 5.0000000000000000,
4287           2.0000000000000000, -0.40000000000000002 },
4288   { 0.54156016946185348, 1.0000000000000000, 5.0000000000000000,
4289           2.0000000000000000, -0.30000000000000004 },
4290   { 0.64718364197530875, 1.0000000000000000, 5.0000000000000000,
4291           2.0000000000000000, -0.19999999999999996 },
4292   { 0.79246636158732342, 1.0000000000000000, 5.0000000000000000,
4293           2.0000000000000000, -0.099999999999999978 },
4294   { 1.0000000000000000, 1.0000000000000000, 5.0000000000000000,
4295           2.0000000000000000, 0.0000000000000000 },
4296   { 1.3103947568968148, 1.0000000000000000, 5.0000000000000000,
4297           2.0000000000000000, 0.10000000000000009 },
4298   { 1.8017578125000004, 1.0000000000000000, 5.0000000000000000,
4299           2.0000000000000000, 0.19999999999999996 },
4300   { 2.6374427321949185, 1.0000000000000000, 5.0000000000000000,
4301           2.0000000000000000, 0.30000000000000004 },
4302   { 4.1975308641975282, 1.0000000000000000, 5.0000000000000000,
4303           2.0000000000000000, 0.39999999999999991 },
4304   { 7.4999999999999964, 1.0000000000000000, 5.0000000000000000,
4305           2.0000000000000000, 0.50000000000000000 },
4306   { 15.859375000000012, 1.0000000000000000, 5.0000000000000000,
4307           2.0000000000000000, 0.60000000000000009 },
4308   { 43.734567901234513, 1.0000000000000000, 5.0000000000000000,
4309           2.0000000000000000, 0.69999999999999996 },
4310   { 194.99999999999994, 1.0000000000000000, 5.0000000000000000,
4311           2.0000000000000000, 0.80000000000000004 },
4312   { 2777.4999999999832, 1.0000000000000000, 5.0000000000000000,
4313           2.0000000000000000, 0.89999999999999991 },
4314 };
4315 const double toler091 = 2.5000000000000020e-13;
4316
4317 // Test data for a=1.0000000000000000, b=5.0000000000000000, c=4.0000000000000000.
4318 // max(|f - f_GSL|): 4.2632564145606011e-14
4319 // max(|f - f_GSL| / |f_GSL|): 1.3117712044801915e-15
4320 const testcase_hyperg<double>
4321 data092[19] =
4322 {
4323   { 0.46398891966759009, 1.0000000000000000, 5.0000000000000000,
4324           4.0000000000000000, -0.90000000000000002 },
4325   { 0.49382716049382724, 1.0000000000000000, 5.0000000000000000,
4326           4.0000000000000000, -0.80000000000000004 },
4327   { 0.52768166089965407, 1.0000000000000000, 5.0000000000000000,
4328           4.0000000000000000, -0.69999999999999996 },
4329   { 0.56640625000000000, 1.0000000000000000, 5.0000000000000000,
4330           4.0000000000000000, -0.59999999999999998 },
4331   { 0.61111111111111094, 1.0000000000000000, 5.0000000000000000,
4332           4.0000000000000000, -0.50000000000000000 },
4333   { 0.66326530612244905, 1.0000000000000000, 5.0000000000000000,
4334           4.0000000000000000, -0.40000000000000002 },
4335   { 0.72485207100591698, 1.0000000000000000, 5.0000000000000000,
4336           4.0000000000000000, -0.30000000000000004 },
4337   { 0.79861111111111094, 1.0000000000000000, 5.0000000000000000,
4338           4.0000000000000000, -0.19999999999999996 },
4339   { 0.88842975206611552, 1.0000000000000000, 5.0000000000000000,
4340           4.0000000000000000, -0.099999999999999978 },
4341   { 1.0000000000000000, 1.0000000000000000, 5.0000000000000000,
4342           4.0000000000000000, 0.0000000000000000 },
4343   { 1.1419753086419753, 1.0000000000000000, 5.0000000000000000,
4344           4.0000000000000000, 0.10000000000000009 },
4345   { 1.3281249999999998, 1.0000000000000000, 5.0000000000000000,
4346           4.0000000000000000, 0.19999999999999996 },
4347   { 1.5816326530612239, 1.0000000000000000, 5.0000000000000000,
4348           4.0000000000000000, 0.30000000000000004 },
4349   { 1.9444444444444444, 1.0000000000000000, 5.0000000000000000,
4350           4.0000000000000000, 0.39999999999999991 },
4351   { 2.5000000000000000, 1.0000000000000000, 5.0000000000000000,
4352           4.0000000000000000, 0.50000000000000000 },
4353   { 3.4374999999999996, 1.0000000000000000, 5.0000000000000000,
4354           4.0000000000000000, 0.60000000000000009 },
4355   { 5.2777777777777715, 1.0000000000000000, 5.0000000000000000,
4356           4.0000000000000000, 0.69999999999999996 },
4357   { 9.9999999999999947, 1.0000000000000000, 5.0000000000000000,
4358           4.0000000000000000, 0.80000000000000004 },
4359   { 32.499999999999837, 1.0000000000000000, 5.0000000000000000,
4360           4.0000000000000000, 0.89999999999999991 },
4361 };
4362 const double toler092 = 2.5000000000000020e-13;
4363
4364 // Test data for a=1.0000000000000000, b=5.0000000000000000, c=6.0000000000000000.
4365 // max(|f - f_GSL|): 6.2172489379008766e-15
4366 // max(|f - f_GSL| / |f_GSL|): 1.2433022037532461e-15
4367 const testcase_hyperg<double>
4368 data093[19] =
4369 {
4370   { 0.57476744883397490, 1.0000000000000000, 5.0000000000000000,
4371           6.0000000000000000, -0.90000000000000002 },
4372   { 0.60302731682513966, 1.0000000000000000, 5.0000000000000000,
4373           6.0000000000000000, -0.80000000000000004 },
4374   { 0.63425708719096374, 1.0000000000000000, 5.0000000000000000,
4375           6.0000000000000000, -0.69999999999999996 },
4376   { 0.66895764182970430, 1.0000000000000000, 5.0000000000000000,
4377           6.0000000000000000, -0.59999999999999998 },
4378   { 0.70775063063963473, 1.0000000000000000, 5.0000000000000000,
4379           6.0000000000000000, -0.50000000000000000 },
4380   { 0.75141762103495924, 1.0000000000000000, 5.0000000000000000,
4381           6.0000000000000000, -0.40000000000000002 },
4382   { 0.80095569442603298, 1.0000000000000000, 5.0000000000000000,
4383           6.0000000000000000, -0.30000000000000004 },
4384   { 0.85765823887436754, 1.0000000000000000, 5.0000000000000000,
4385           6.0000000000000000, -0.19999999999999996 },
4386   { 0.92323549576335540, 1.0000000000000000, 5.0000000000000000,
4387           6.0000000000000000, -0.099999999999999978 },
4388   { 1.0000000000000000, 1.0000000000000000, 5.0000000000000000,
4389           6.0000000000000000, 0.0000000000000000 },
4390   { 1.0911622464839472, 1.0000000000000000, 5.0000000000000000,
4391           6.0000000000000000, 0.10000000000000009 },
4392   { 1.2013226178607666, 1.0000000000000000, 5.0000000000000000,
4393           6.0000000000000000, 0.19999999999999996 },
4394   { 1.3373332072682687, 1.0000000000000000, 5.0000000000000000,
4395           6.0000000000000000, 0.30000000000000004 },
4396   { 1.5099074378209716, 1.0000000000000000, 5.0000000000000000,
4397           6.0000000000000000, 0.39999999999999991 },
4398   { 1.7368822229245819, 1.0000000000000000, 5.0000000000000000,
4399           6.0000000000000000, 0.50000000000000000 },
4400   { 2.0505871832661429, 1.0000000000000000, 5.0000000000000000,
4401           6.0000000000000000, 0.60000000000000009 },
4402   { 2.5172389775867967, 1.0000000000000000, 5.0000000000000000,
4403           6.0000000000000000, 0.69999999999999996 },
4404   { 3.3015631983556144, 1.0000000000000000, 5.0000000000000000,
4405           6.0000000000000000, 0.80000000000000004 },
4406   { 5.0005935155044519, 1.0000000000000000, 5.0000000000000000,
4407           6.0000000000000000, 0.89999999999999991 },
4408 };
4409 const double toler093 = 2.5000000000000020e-13;
4410
4411 // Test data for a=1.0000000000000000, b=5.0000000000000000, c=8.0000000000000000.
4412 // max(|f - f_GSL|): 3.1086244689504383e-15
4413 // max(|f - f_GSL| / |f_GSL|): 1.1989697058841889e-15
4414 const testcase_hyperg<double>
4415 data094[19] =
4416 {
4417   { 0.64582752605387983, 1.0000000000000000, 5.0000000000000000,
4418           8.0000000000000000, -0.90000000000000002 },
4419   { 0.67184161997264191, 1.0000000000000000, 5.0000000000000000,
4420           8.0000000000000000, -0.80000000000000004 },
4421   { 0.70012779922368040, 1.0000000000000000, 5.0000000000000000,
4422           8.0000000000000000, -0.69999999999999996 },
4423   { 0.73100784656910278, 1.0000000000000000, 5.0000000000000000,
4424           8.0000000000000000, -0.59999999999999998 },
4425   { 0.76486919089091066, 1.0000000000000000, 5.0000000000000000,
4426           8.0000000000000000, -0.50000000000000000 },
4427   { 0.80218301124334557, 1.0000000000000000, 5.0000000000000000,
4428           8.0000000000000000, -0.40000000000000002 },
4429   { 0.84352883533234413, 1.0000000000000000, 5.0000000000000000,
4430           8.0000000000000000, -0.30000000000000004 },
4431   { 0.88962858902212572, 1.0000000000000000, 5.0000000000000000,
4432           8.0000000000000000, -0.19999999999999996 },
4433   { 0.94139473468584123, 1.0000000000000000, 5.0000000000000000,
4434           8.0000000000000000, -0.099999999999999978 },
4435   { 1.0000000000000000, 1.0000000000000000, 5.0000000000000000,
4436           8.0000000000000000, 0.0000000000000000 },
4437   { 1.0669812691939897, 1.0000000000000000, 5.0000000000000000,
4438           8.0000000000000000, 0.10000000000000009 },
4439   { 1.1443996012177726, 1.0000000000000000, 5.0000000000000000,
4440           8.0000000000000000, 0.19999999999999996 },
4441   { 1.2350966976721314, 1.0000000000000000, 5.0000000000000000,
4442           8.0000000000000000, 0.30000000000000004 },
4443   { 1.3431264370409088, 1.0000000000000000, 5.0000000000000000,
4444           8.0000000000000000, 0.39999999999999991 },
4445   { 1.4745266814162399, 1.0000000000000000, 5.0000000000000000,
4446           8.0000000000000000, 0.50000000000000000 },
4447   { 1.6388137104840066, 1.0000000000000000, 5.0000000000000000,
4448           8.0000000000000000, 0.60000000000000009 },
4449   { 1.8522074849776518, 1.0000000000000000, 5.0000000000000000,
4450           8.0000000000000000, 0.69999999999999996 },
4451   { 2.1458016978417458, 1.0000000000000000, 5.0000000000000000,
4452           8.0000000000000000, 0.80000000000000004 },
4453   { 2.5927464669826339, 1.0000000000000000, 5.0000000000000000,
4454           8.0000000000000000, 0.89999999999999991 },
4455 };
4456 const double toler094 = 2.5000000000000020e-13;
4457
4458 // Test data for a=1.0000000000000000, b=5.0000000000000000, c=10.000000000000000.
4459 // max(|f - f_GSL|): 1.1102230246251565e-15
4460 // max(|f - f_GSL| / |f_GSL|): 5.6896158687269898e-16
4461 const testcase_hyperg<double>
4462 data095[19] =
4463 {
4464   { 0.69583236336670584, 1.0000000000000000, 5.0000000000000000,
4465           10.000000000000000, -0.90000000000000002 },
4466   { 0.71968920666899716, 1.0000000000000000, 5.0000000000000000,
4467           10.000000000000000, -0.80000000000000004 },
4468   { 0.74533885416044232, 1.0000000000000000, 5.0000000000000000,
4469           10.000000000000000, -0.69999999999999996 },
4470   { 0.77300145361503070, 1.0000000000000000, 5.0000000000000000,
4471           10.000000000000000, -0.59999999999999998 },
4472   { 0.80293630810919447, 1.0000000000000000, 5.0000000000000000,
4473           10.000000000000000, -0.50000000000000000 },
4474   { 0.83545132638592001, 1.0000000000000000, 5.0000000000000000,
4475           10.000000000000000, -0.40000000000000002 },
4476   { 0.87091544744412497, 1.0000000000000000, 5.0000000000000000,
4477           10.000000000000000, -0.30000000000000004 },
4478   { 0.90977522877919847, 1.0000000000000000, 5.0000000000000000,
4479           10.000000000000000, -0.19999999999999996 },
4480   { 0.95257738192069130, 1.0000000000000000, 5.0000000000000000,
4481           10.000000000000000, -0.099999999999999978 },
4482   { 1.0000000000000000, 1.0000000000000000, 5.0000000000000000,
4483           10.000000000000000, 0.0000000000000000 },
4484   { 1.0528968282789379, 1.0000000000000000, 5.0000000000000000,
4485           10.000000000000000, 0.10000000000000009 },
4486   { 1.1123617169062123, 1.0000000000000000, 5.0000000000000000,
4487           10.000000000000000, 0.19999999999999996 },
4488   { 1.1798254572896132, 1.0000000000000000, 5.0000000000000000,
4489           10.000000000000000, 0.30000000000000004 },
4490   { 1.2572069000522696, 1.0000000000000000, 5.0000000000000000,
4491           10.000000000000000, 0.39999999999999991 },
4492   { 1.3471600884974377, 1.0000000000000000, 5.0000000000000000,
4493           10.000000000000000, 0.50000000000000000 },
4494   { 1.4535032279573519, 1.0000000000000000, 5.0000000000000000,
4495           10.000000000000000, 0.60000000000000009 },
4496   { 1.5820245752814948, 1.0000000000000000, 5.0000000000000000,
4497           10.000000000000000, 0.69999999999999996 },
4498   { 1.7421756366906538, 1.0000000000000000, 5.0000000000000000,
4499           10.000000000000000, 0.80000000000000004 },
4500   { 1.9513145531098233, 1.0000000000000000, 5.0000000000000000,
4501           10.000000000000000, 0.89999999999999991 },
4502 };
4503 const double toler095 = 2.5000000000000020e-13;
4504
4505 // Test data for a=1.0000000000000000, b=10.000000000000000, c=2.0000000000000000.
4506 // max(|f - f_GSL|): 2.0861625671386719e-07
4507 // max(|f - f_GSL| / |f_GSL|): 1.6897916810721311e-15
4508 const testcase_hyperg<double>
4509 data096[19] =
4510 {
4511   { 0.12307420104127866, 1.0000000000000000, 10.000000000000000,
4512           2.0000000000000000, -0.90000000000000002 },
4513   { 0.13818870041457434, 1.0000000000000000, 10.000000000000000,
4514           2.0000000000000000, -0.80000000000000004 },
4515   { 0.15739165631811705, 1.0000000000000000, 10.000000000000000,
4516           2.0000000000000000, -0.69999999999999996 },
4517   { 0.18249038606882081, 1.0000000000000000, 10.000000000000000,
4518           2.0000000000000000, -0.59999999999999998 },
4519   { 0.21644171225027795, 1.0000000000000000, 10.000000000000000,
4520           2.0000000000000000, -0.50000000000000000 },
4521   { 0.26433326159804132, 1.0000000000000000, 10.000000000000000,
4522           2.0000000000000000, -0.40000000000000002 },
4523   { 0.33544459430654539, 1.0000000000000000, 10.000000000000000,
4524           2.0000000000000000, -0.30000000000000004 },
4525   { 0.44788516696232511, 1.0000000000000000, 10.000000000000000,
4526           2.0000000000000000, -0.19999999999999996 },
4527   { 0.63989153514168373, 1.0000000000000000, 10.000000000000000,
4528           2.0000000000000000, -0.099999999999999978 },
4529   { 1.0000000000000000, 1.0000000000000000, 10.000000000000000,
4530           2.0000000000000000, 0.0000000000000000 },
4531   { 1.7568608796813312, 1.0000000000000000, 10.000000000000000,
4532           2.0000000000000000, 0.10000000000000009 },
4533   { 3.5836558871799027, 1.0000000000000000, 10.000000000000000,
4534           2.0000000000000000, 0.19999999999999996 },
4535   { 8.8077526749963226, 1.0000000000000000, 10.000000000000000,
4536           2.0000000000000000, 0.30000000000000004 },
4537   { 27.285841702089190, 1.0000000000000000, 10.000000000000000,
4538           2.0000000000000000, 0.39999999999999991 },
4539   { 113.55555555555557, 1.0000000000000000, 10.000000000000000,
4540           2.0000000000000000, 0.50000000000000000 },
4541   { 706.24023437500091, 1.0000000000000000, 10.000000000000000,
4542           2.0000000000000000, 0.60000000000000009 },
4543   { 8064.1687976651992, 1.0000000000000000, 10.000000000000000,
4544           2.0000000000000000, 0.69999999999999996 },
4545   { 271267.22222222196, 1.0000000000000000, 10.000000000000000,
4546           2.0000000000000000, 0.80000000000000004 },
4547   { 123456789.99999890, 1.0000000000000000, 10.000000000000000,
4548           2.0000000000000000, 0.89999999999999991 },
4549 };
4550 const double toler096 = 2.5000000000000020e-13;
4551
4552 // Test data for a=1.0000000000000000, b=10.000000000000000, c=4.0000000000000000.
4553 // max(|f - f_GSL|): 2.6193447411060333e-10
4554 // max(|f - f_GSL| / |f_GSL|): 1.6039867544159931e-15
4555 const testcase_hyperg<double>
4556 data097[19] =
4557 {
4558   { 0.28363728383055781, 1.0000000000000000, 10.000000000000000,
4559           4.0000000000000000, -0.90000000000000002 },
4560   { 0.30933003169808387, 1.0000000000000000, 10.000000000000000,
4561           4.0000000000000000, -0.80000000000000004 },
4562   { 0.33998437757128797, 1.0000000000000000, 10.000000000000000,
4563           4.0000000000000000, -0.69999999999999996 },
4564   { 0.37713553224291113, 1.0000000000000000, 10.000000000000000,
4565           4.0000000000000000, -0.59999999999999998 },
4566   { 0.42299736538419669, 1.0000000000000000, 10.000000000000000,
4567           4.0000000000000000, -0.50000000000000000 },
4568   { 0.48086597727600067, 1.0000000000000000, 10.000000000000000,
4569           4.0000000000000000, -0.40000000000000002 },
4570   { 0.55583495759293045, 1.0000000000000000, 10.000000000000000,
4571           4.0000000000000000, -0.30000000000000004 },
4572   { 0.65612850114039678, 1.0000000000000000, 10.000000000000000,
4573           4.0000000000000000, -0.19999999999999996 },
4574   { 0.79573668772968142, 1.0000000000000000, 10.000000000000000,
4575           4.0000000000000000, -0.099999999999999978 },
4576   { 1.0000000000000000, 1.0000000000000000, 10.000000000000000,
4577           4.0000000000000000, 0.0000000000000000 },
4578   { 1.3184712058058303, 1.0000000000000000, 10.000000000000000,
4579           4.0000000000000000, 0.10000000000000009 },
4580   { 1.8576958065941214, 1.0000000000000000, 10.000000000000000,
4581           4.0000000000000000, 0.19999999999999996 },
4582   { 2.8759509651764228, 1.0000000000000000, 10.000000000000000,
4583           4.0000000000000000, 0.30000000000000004 },
4584   { 5.1046225531822182, 1.0000000000000000, 10.000000000000000,
4585           4.0000000000000000, 0.39999999999999991 },
4586   { 11.095238095238095, 1.0000000000000000, 10.000000000000000,
4587           4.0000000000000000, 0.50000000000000000 },
4588   { 32.797154017857174, 1.0000000000000000, 10.000000000000000,
4589           4.0000000000000000, 0.60000000000000009 },
4590   { 158.01935680536477, 1.0000000000000000, 10.000000000000000,
4591           4.0000000000000000, 0.69999999999999996 },
4592   { 1815.9523809523814, 1.0000000000000000, 10.000000000000000,
4593           4.0000000000000000, 0.80000000000000004 },
4594   { 163302.14285714156, 1.0000000000000000, 10.000000000000000,
4595           4.0000000000000000, 0.89999999999999991 },
4596 };
4597 const double toler097 = 2.5000000000000020e-13;
4598
4599 // Test data for a=1.0000000000000000, b=10.000000000000000, c=6.0000000000000000.
4600 // max(|f - f_GSL|): 2.0463630789890885e-12
4601 // max(|f - f_GSL| / |f_GSL|): 1.5238873992472010e-15
4602 const testcase_hyperg<double>
4603 data098[19] =
4604 {
4605   { 0.39006633302741811, 1.0000000000000000, 10.000000000000000,
4606           6.0000000000000000, -0.90000000000000002 },
4607   { 0.41898885698103278, 1.0000000000000000, 10.000000000000000,
4608           6.0000000000000000, -0.80000000000000004 },
4609   { 0.45245557983812590, 1.0000000000000000, 10.000000000000000,
4610           6.0000000000000000, -0.69999999999999996 },
4611   { 0.49160548618861627, 1.0000000000000000, 10.000000000000000,
4612           6.0000000000000000, -0.59999999999999998 },
4613   { 0.53798419230517991, 1.0000000000000000, 10.000000000000000,
4614           6.0000000000000000, -0.50000000000000000 },
4615   { 0.59373881442067322, 1.0000000000000000, 10.000000000000000,
4616           6.0000000000000000, -0.40000000000000002 },
4617   { 0.66193391357076126, 1.0000000000000000, 10.000000000000000,
4618           6.0000000000000000, -0.30000000000000004 },
4619   { 0.74708402736952118, 1.0000000000000000, 10.000000000000000,
4620           6.0000000000000000, -0.19999999999999996 },
4621   { 0.85609281019430605, 1.0000000000000000, 10.000000000000000,
4622           6.0000000000000000, -0.099999999999999978 },
4623   { 1.0000000000000000, 1.0000000000000000, 10.000000000000000,
4624           6.0000000000000000, 0.0000000000000000 },
4625   { 1.1974451135148187, 1.0000000000000000, 10.000000000000000,
4626           6.0000000000000000, 0.10000000000000009 },
4627   { 1.4820886036706347, 1.0000000000000000, 10.000000000000000,
4628           6.0000000000000000, 0.19999999999999996 },
4629   { 1.9201183180477521, 1.0000000000000000, 10.000000000000000,
4630           6.0000000000000000, 0.30000000000000004 },
4631   { 2.6569338297733336, 1.0000000000000000, 10.000000000000000,
4632           6.0000000000000000, 0.39999999999999991 },
4633   { 4.0634920634920650, 1.0000000000000000, 10.000000000000000,
4634           6.0000000000000000, 0.50000000000000000 },
4635   { 7.3102678571428568, 1.0000000000000000, 10.000000000000000,
4636           6.0000000000000000, 0.60000000000000009 },
4637   { 17.512574302697733, 1.0000000000000000, 10.000000000000000,
4638           6.0000000000000000, 0.69999999999999996 },
4639   { 74.206349206349131, 1.0000000000000000, 10.000000000000000,
4640           6.0000000000000000, 0.80000000000000004 },
4641   { 1342.8571428571363, 1.0000000000000000, 10.000000000000000,
4642           6.0000000000000000, 0.89999999999999991 },
4643 };
4644 const double toler098 = 2.5000000000000020e-13;
4645
4646 // Test data for a=1.0000000000000000, b=10.000000000000000, c=8.0000000000000000.
4647 // max(|f - f_GSL|): 7.8159700933611020e-14
4648 // max(|f - f_GSL| / |f_GSL|): 1.4210854715202060e-15
4649 const testcase_hyperg<double>
4650 data099[19] =
4651 {
4652   { 0.46726928123633210, 1.0000000000000000, 10.000000000000000,
4653           8.0000000000000000, -0.90000000000000002 },
4654   { 0.49687547629934464, 1.0000000000000000, 10.000000000000000,
4655           8.0000000000000000, -0.80000000000000004 },
4656   { 0.53045208856322223, 1.0000000000000000, 10.000000000000000,
4657           8.0000000000000000, -0.69999999999999996 },
4658   { 0.56884765624999989, 1.0000000000000000, 10.000000000000000,
4659           8.0000000000000000, -0.59999999999999998 },
4660   { 0.61316872427983504, 1.0000000000000000, 10.000000000000000,
4661           8.0000000000000000, -0.50000000000000000 },
4662   { 0.66488500161969566, 1.0000000000000000, 10.000000000000000,
4663           8.0000000000000000, -0.40000000000000002 },
4664   { 0.72598998634501577, 1.0000000000000000, 10.000000000000000,
4665           8.0000000000000000, -0.30000000000000004 },
4666   { 0.79925411522633760, 1.0000000000000000, 10.000000000000000,
4667           8.0000000000000000, -0.19999999999999996 },
4668   { 0.88863845062192182, 1.0000000000000000, 10.000000000000000,
4669           8.0000000000000000, -0.099999999999999978 },
4670   { 1.0000000000000000, 1.0000000000000000, 10.000000000000000,
4671           8.0000000000000000, 0.0000000000000000 },
4672   { 1.1423563481176653, 1.0000000000000000, 10.000000000000000,
4673           8.0000000000000000, 0.10000000000000009 },
4674   { 1.3302951388888888, 1.0000000000000000, 10.000000000000000,
4675           8.0000000000000000, 0.19999999999999996 },
4676   { 1.5889212827988335, 1.0000000000000000, 10.000000000000000,
4677           8.0000000000000000, 0.30000000000000004 },
4678   { 1.9650205761316870, 1.0000000000000000, 10.000000000000000,
4679           8.0000000000000000, 0.39999999999999991 },
4680   { 2.5555555555555549, 1.0000000000000000, 10.000000000000000,
4681           8.0000000000000000, 0.50000000000000000 },
4682   { 3.5937500000000013, 1.0000000000000000, 10.000000000000000,
4683           8.0000000000000000, 0.60000000000000009 },
4684   { 5.7818930041152203, 1.0000000000000000, 10.000000000000000,
4685           8.0000000000000000, 0.69999999999999996 },
4686   { 12.222222222222220, 1.0000000000000000, 10.000000000000000,
4687           8.0000000000000000, 0.80000000000000004 },
4688   { 54.999999999999780, 1.0000000000000000, 10.000000000000000,
4689           8.0000000000000000, 0.89999999999999991 },
4690 };
4691 const double toler099 = 2.5000000000000020e-13;
4692
4693 // Test data for a=1.0000000000000000, b=10.000000000000000, c=10.000000000000000.
4694 // max(|f - f_GSL|): 1.7763568394002505e-15
4695 // max(|f - f_GSL| / |f_GSL|): 2.1094237467877971e-16
4696 const testcase_hyperg<double>
4697 data100[19] =
4698 {
4699   { 0.52631578947368429, 1.0000000000000000, 10.000000000000000,
4700           10.000000000000000, -0.90000000000000002 },
4701   { 0.55555555555555558, 1.0000000000000000, 10.000000000000000,
4702           10.000000000000000, -0.80000000000000004 },
4703   { 0.58823529411764708, 1.0000000000000000, 10.000000000000000,
4704           10.000000000000000, -0.69999999999999996 },
4705   { 0.62500000000000000, 1.0000000000000000, 10.000000000000000,
4706           10.000000000000000, -0.59999999999999998 },
4707   { 0.66666666666666663, 1.0000000000000000, 10.000000000000000,
4708           10.000000000000000, -0.50000000000000000 },
4709   { 0.71428571428571430, 1.0000000000000000, 10.000000000000000,
4710           10.000000000000000, -0.40000000000000002 },
4711   { 0.76923076923076927, 1.0000000000000000, 10.000000000000000,
4712           10.000000000000000, -0.30000000000000004 },
4713   { 0.83333333333333337, 1.0000000000000000, 10.000000000000000,
4714           10.000000000000000, -0.19999999999999996 },
4715   { 0.90909090909090906, 1.0000000000000000, 10.000000000000000,
4716           10.000000000000000, -0.099999999999999978 },
4717   { 1.0000000000000000, 1.0000000000000000, 10.000000000000000,
4718           10.000000000000000, 0.0000000000000000 },
4719   { 1.1111111111111112, 1.0000000000000000, 10.000000000000000,
4720           10.000000000000000, 0.10000000000000009 },
4721   { 1.2500000000000000, 1.0000000000000000, 10.000000000000000,
4722           10.000000000000000, 0.19999999999999996 },
4723   { 1.4285714285714286, 1.0000000000000000, 10.000000000000000,
4724           10.000000000000000, 0.30000000000000004 },
4725   { 1.6666666666666663, 1.0000000000000000, 10.000000000000000,
4726           10.000000000000000, 0.39999999999999991 },
4727   { 2.0000000000000000, 1.0000000000000000, 10.000000000000000,
4728           10.000000000000000, 0.50000000000000000 },
4729   { 2.5000000000000004, 1.0000000000000000, 10.000000000000000,
4730           10.000000000000000, 0.60000000000000009 },
4731   { 3.3333333333333330, 1.0000000000000000, 10.000000000000000,
4732           10.000000000000000, 0.69999999999999996 },
4733   { 5.0000000000000009, 1.0000000000000000, 10.000000000000000,
4734           10.000000000000000, 0.80000000000000004 },
4735   { 9.9999999999999929, 1.0000000000000000, 10.000000000000000,
4736           10.000000000000000, 0.89999999999999991 },
4737 };
4738 const double toler100 = 2.5000000000000020e-13;
4739
4740 // Test data for a=1.0000000000000000, b=20.000000000000000, c=2.0000000000000000.
4741 // max(|f - f_GSL|): 1024.0000000000000
4742 // max(|f - f_GSL| / |f_GSL|): 1.7510400000000382e-15
4743 const testcase_hyperg<double>
4744 data101[19] =
4745 {
4746   { 0.058479236576646311, 1.0000000000000000, 20.000000000000000,
4747           2.0000000000000000, -0.90000000000000002 },
4748   { 0.065788544763137821, 1.0000000000000000, 20.000000000000000,
4749           2.0000000000000000, -0.80000000000000004 },
4750   { 0.075184824937824482, 1.0000000000000000, 20.000000000000000,
4751           2.0000000000000000, -0.69999999999999996 },
4752   { 0.087707688693157121, 1.0000000000000000, 20.000000000000000,
4753           2.0000000000000000, -0.59999999999999998 },
4754   { 0.10521567442213345, 1.0000000000000000, 20.000000000000000,
4755           2.0000000000000000, -0.50000000000000000 },
4756   { 0.13135877960541550, 1.0000000000000000, 20.000000000000000,
4757           2.0000000000000000, -0.40000000000000002 },
4758   { 0.17423854066297098, 1.0000000000000000, 20.000000000000000,
4759           2.0000000000000000, -0.30000000000000004 },
4760   { 0.25492082527223520, 1.0000000000000000, 20.000000000000000,
4761           2.0000000000000000, -0.19999999999999996 },
4762   { 0.44025895219654843, 1.0000000000000000, 20.000000000000000,
4763           2.0000000000000000, -0.099999999999999978 },
4764   { 1.0000000000000000, 1.0000000000000000, 20.000000000000000,
4765           2.0000000000000000, 0.0000000000000000 },
4766   { 3.3698615820910360, 1.0000000000000000, 20.000000000000000,
4767           2.0000000000000000, 0.10000000000000009 },
4768   { 17.997089220808483, 1.0000000000000000, 20.000000000000000,
4769           2.0000000000000000, 0.19999999999999996 },
4770   { 153.73298291118951, 1.0000000000000000, 20.000000000000000,
4771           2.0000000000000000, 0.30000000000000004 },
4772   { 2159.1667587825627, 1.0000000000000000, 20.000000000000000,
4773           2.0000000000000000, 0.39999999999999991 },
4774   { 55188.105263157879, 1.0000000000000000, 20.000000000000000,
4775           2.0000000000000000, 0.50000000000000000 },
4776   { 3191209.3921857267, 1.0000000000000000, 20.000000000000000,
4777           2.0000000000000000, 0.60000000000000009 },
4778   { 646910975.29152656, 1.0000000000000000, 20.000000000000000,
4779           2.0000000000000000, 0.69999999999999996 },
4780   { 1254834626850.2659, 1.0000000000000000, 20.000000000000000,
4781           2.0000000000000000, 0.80000000000000004 },
4782   { 5.8479532163741414e+17, 1.0000000000000000, 20.000000000000000,
4783           2.0000000000000000, 0.89999999999999991 },
4784 };
4785 const double toler101 = 2.5000000000000020e-13;
4786
4787 // Test data for a=1.0000000000000000, b=20.000000000000000, c=4.0000000000000000.
4788 // max(|f - f_GSL|): 0.21875000000000000
4789 // max(|f - f_GSL| / |f_GSL|): 1.5452521875000274e-15
4790 const testcase_hyperg<double>
4791 data102[19] =
4792 {
4793   { 0.15519511120894958, 1.0000000000000000, 20.000000000000000,
4794           4.0000000000000000, -0.90000000000000002 },
4795   { 0.17197165701692893, 1.0000000000000000, 20.000000000000000,
4796           4.0000000000000000, -0.80000000000000004 },
4797   { 0.19276847315207329, 1.0000000000000000, 20.000000000000000,
4798           4.0000000000000000, -0.69999999999999996 },
4799   { 0.21920107206179093, 1.0000000000000000, 20.000000000000000,
4800           4.0000000000000000, -0.59999999999999998 },
4801   { 0.25386158960390576, 1.0000000000000000, 20.000000000000000,
4802           4.0000000000000000, -0.50000000000000000 },
4803   { 0.30115970686600674, 1.0000000000000000, 20.000000000000000,
4804           4.0000000000000000, -0.40000000000000002 },
4805   { 0.36916408142057106, 1.0000000000000000, 20.000000000000000,
4806           4.0000000000000000, -0.30000000000000004 },
4807   { 0.47406175901569547, 1.0000000000000000, 20.000000000000000,
4808           4.0000000000000000, -0.19999999999999996 },
4809   { 0.65237908266239919, 1.0000000000000000, 20.000000000000000,
4810           4.0000000000000000, -0.099999999999999978 },
4811   { 1.0000000000000000, 1.0000000000000000, 20.000000000000000,
4812           4.0000000000000000, 0.0000000000000000 },
4813   { 1.8227213362622299, 1.0000000000000000, 20.000000000000000,
4814           4.0000000000000000, 0.10000000000000009 },
4815   { 4.3716358339791332, 1.0000000000000000, 20.000000000000000,
4816           4.0000000000000000, 0.19999999999999996 },
4817   { 15.670841312959222, 1.0000000000000000, 20.000000000000000,
4818           4.0000000000000000, 0.30000000000000004 },
4819   { 94.742651122760179, 1.0000000000000000, 20.000000000000000,
4820           4.0000000000000000, 0.39999999999999991 },
4821   { 1081.7275541795671, 1.0000000000000000, 20.000000000000000,
4822           4.0000000000000000, 0.50000000000000000 },
4823   { 27809.787731465960, 1.0000000000000000, 20.000000000000000,
4824           4.0000000000000000, 0.60000000000000009 },
4825   { 2329811.1715181042, 1.0000000000000000, 20.000000000000000,
4826           4.0000000000000000, 0.69999999999999996 },
4827   { 1537787532.6780224, 1.0000000000000000, 20.000000000000000,
4828           4.0000000000000000, 0.80000000000000004 },
4829   { 141562653506999.88, 1.0000000000000000, 20.000000000000000,
4830           4.0000000000000000, 0.89999999999999991 },
4831 };
4832 const double toler102 = 2.5000000000000020e-13;
4833
4834 // Test data for a=1.0000000000000000, b=20.000000000000000, c=6.0000000000000000.
4835 // max(|f - f_GSL|): 0.00024414062500000000
4836 // max(|f - f_GSL| / |f_GSL|): 1.6763226855512825e-15
4837 const testcase_hyperg<double>
4838 data103[19] =
4839 {
4840   { 0.23253645591196551, 1.0000000000000000, 20.000000000000000,
4841           6.0000000000000000, -0.90000000000000002 },
4842   { 0.25484220947068342, 1.0000000000000000, 20.000000000000000,
4843           6.0000000000000000, -0.80000000000000004 },
4844   { 0.28181987881113812, 1.0000000000000000, 20.000000000000000,
4845           6.0000000000000000, -0.69999999999999996 },
4846   { 0.31508211677735770, 1.0000000000000000, 20.000000000000000,
4847           6.0000000000000000, -0.59999999999999998 },
4848   { 0.35706285886959610, 1.0000000000000000, 20.000000000000000,
4849           6.0000000000000000, -0.50000000000000000 },
4850   { 0.41160053409238206, 1.0000000000000000, 20.000000000000000,
4851           6.0000000000000000, -0.40000000000000002 },
4852   { 0.48508083111181960, 1.0000000000000000, 20.000000000000000,
4853           6.0000000000000000, -0.30000000000000004 },
4854   { 0.58885194371375260, 1.0000000000000000, 20.000000000000000,
4855           6.0000000000000000, -0.19999999999999996 },
4856   { 0.74482241684585782, 1.0000000000000000, 20.000000000000000,
4857           6.0000000000000000, -0.099999999999999978 },
4858   { 1.0000000000000000, 1.0000000000000000, 20.000000000000000,
4859           6.0000000000000000, 0.0000000000000000 },
4860   { 1.4700356864367146, 1.0000000000000000, 20.000000000000000,
4861           6.0000000000000000, 0.10000000000000009 },
4862   { 2.4955144453055143, 1.0000000000000000, 20.000000000000000,
4863           6.0000000000000000, 0.19999999999999996 },
4864   { 5.3506594845833471, 1.0000000000000000, 20.000000000000000,
4865           6.0000000000000000, 0.30000000000000004 },
4866   { 16.618413752184221, 1.0000000000000000, 20.000000000000000,
4867           6.0000000000000000, 0.39999999999999991 },
4868   { 89.310629514963878, 1.0000000000000000, 20.000000000000000,
4869           6.0000000000000000, 0.50000000000000000 },
4870   { 1029.3439900542960, 1.0000000000000000, 20.000000000000000,
4871           6.0000000000000000, 0.60000000000000009 },
4872   { 35659.847863372350, 1.0000000000000000, 20.000000000000000,
4873           6.0000000000000000, 0.69999999999999996 },
4874   { 8009309.6233230168, 1.0000000000000000, 20.000000000000000,
4875           6.0000000000000000, 0.80000000000000004 },
4876   { 145640590027.39731, 1.0000000000000000, 20.000000000000000,
4877           6.0000000000000000, 0.89999999999999991 },
4878 };
4879 const double toler103 = 2.5000000000000020e-13;
4880
4881 // Test data for a=1.0000000000000000, b=20.000000000000000, c=8.0000000000000000.
4882 // max(|f - f_GSL|): 7.1525573730468750e-07
4883 // max(|f - f_GSL| / |f_GSL|): 1.7237966704608456e-15
4884 const testcase_hyperg<double>
4885 data104[19] =
4886 {
4887   { 0.29614148314592509, 1.0000000000000000, 20.000000000000000,
4888           8.0000000000000000, -0.90000000000000002 },
4889   { 0.32176277356430805, 1.0000000000000000, 20.000000000000000,
4890           8.0000000000000000, -0.80000000000000004 },
4891   { 0.35217870475550511, 1.0000000000000000, 20.000000000000000,
4892           8.0000000000000000, -0.69999999999999996 },
4893   { 0.38885270445515113, 1.0000000000000000, 20.000000000000000,
4894           8.0000000000000000, -0.59999999999999998 },
4895   { 0.43389978380608418, 1.0000000000000000, 20.000000000000000,
4896           8.0000000000000000, -0.50000000000000000 },
4897   { 0.49048612522269458, 1.0000000000000000, 20.000000000000000,
4898           8.0000000000000000, -0.40000000000000002 },
4899   { 0.56355539635634599, 1.0000000000000000, 20.000000000000000,
4900           8.0000000000000000, -0.30000000000000004 },
4901   { 0.66123153239117671, 1.0000000000000000, 20.000000000000000,
4902           8.0000000000000000, -0.19999999999999996 },
4903   { 0.79773363961895416, 1.0000000000000000, 20.000000000000000,
4904           8.0000000000000000, -0.099999999999999978 },
4905   { 1.0000000000000000, 1.0000000000000000, 20.000000000000000,
4906           8.0000000000000000, 0.0000000000000000 },
4907   { 1.3245132157016595, 1.0000000000000000, 20.000000000000000,
4908           8.0000000000000000, 0.10000000000000009 },
4909   { 1.9065148749742076, 1.0000000000000000, 20.000000000000000,
4910           8.0000000000000000, 0.19999999999999996 },
4911   { 3.1328798652457452, 1.0000000000000000, 20.000000000000000,
4912           8.0000000000000000, 0.30000000000000004 },
4913   { 6.4172532944033476, 1.0000000000000000, 20.000000000000000,
4914           8.0000000000000000, 0.39999999999999991 },
4915   { 19.071683734222436, 1.0000000000000000, 20.000000000000000,
4916           8.0000000000000000, 0.50000000000000000 },
4917   { 104.41989641582512, 1.0000000000000000, 20.000000000000000,
4918           8.0000000000000000, 0.60000000000000009 },
4919   { 1510.5743992324240, 1.0000000000000000, 20.000000000000000,
4920           8.0000000000000000, 0.69999999999999996 },
4921   { 115518.14360562043, 1.0000000000000000, 20.000000000000000,
4922           8.0000000000000000, 0.80000000000000004 },
4923   { 414930455.29173034, 1.0000000000000000, 20.000000000000000,
4924           8.0000000000000000, 0.89999999999999991 },
4925 };
4926 const double toler104 = 2.5000000000000020e-13;
4927
4928 // Test data for a=1.0000000000000000, b=20.000000000000000, c=10.000000000000000.
4929 // max(|f - f_GSL|): 4.6566128730773926e-09
4930 // max(|f - f_GSL| / |f_GSL|): 1.6665618165272271e-15
4931 const testcase_hyperg<double>
4932 data105[19] =
4933 {
4934   { 0.34954259539177701, 1.0000000000000000, 20.000000000000000,
4935           10.000000000000000, -0.90000000000000002 },
4936   { 0.37714038609235134, 1.0000000000000000, 20.000000000000000,
4937           10.000000000000000, -0.80000000000000004 },
4938   { 0.40942091659748781, 1.0000000000000000, 20.000000000000000,
4939           10.000000000000000, -0.69999999999999996 },
4940   { 0.44767109606846422, 1.0000000000000000, 20.000000000000000,
4941           10.000000000000000, -0.59999999999999998 },
4942   { 0.49368984777532227, 1.0000000000000000, 20.000000000000000,
4943           10.000000000000000, -0.50000000000000000 },
4944   { 0.55006638216982295, 1.0000000000000000, 20.000000000000000,
4945           10.000000000000000, -0.40000000000000002 },
4946   { 0.62065830207408890, 1.0000000000000000, 20.000000000000000,
4947           10.000000000000000, -0.30000000000000004 },
4948   { 0.71145554513583764, 1.0000000000000000, 20.000000000000000,
4949           10.000000000000000, -0.19999999999999996 },
4950   { 0.83223839666914623, 1.0000000000000000, 20.000000000000000,
4951           10.000000000000000, -0.099999999999999978 },
4952   { 1.0000000000000000, 1.0000000000000000, 20.000000000000000,
4953           10.000000000000000, 0.0000000000000000 },
4954   { 1.2466748028187731, 1.0000000000000000, 20.000000000000000,
4955           10.000000000000000, 0.10000000000000009 },
4956   { 1.6386752725021749, 1.0000000000000000, 20.000000000000000,
4957           10.000000000000000, 0.19999999999999996 },
4958   { 2.3340068725479681, 1.0000000000000000, 20.000000000000000,
4959           10.000000000000000, 0.30000000000000004 },
4960   { 3.7848108613132054, 1.0000000000000000, 20.000000000000000,
4961           10.000000000000000, 0.39999999999999991 },
4962   { 7.6754638550304133, 1.0000000000000000, 20.000000000000000,
4963           10.000000000000000, 0.50000000000000000 },
4964   { 23.344217312927277, 1.0000000000000000, 20.000000000000000,
4965           10.000000000000000, 0.60000000000000009 },
4966   { 149.83491198246921, 1.0000000000000000, 20.000000000000000,
4967           10.000000000000000, 0.69999999999999996 },
4968   { 3936.9253501916060, 1.0000000000000000, 20.000000000000000,
4969           10.000000000000000, 0.80000000000000004 },
4970   { 2794143.5036480185, 1.0000000000000000, 20.000000000000000,
4971           10.000000000000000, 0.89999999999999991 },
4972 };
4973 const double toler105 = 2.5000000000000020e-13;
4974
4975 // Test data for a=2.0000000000000000, b=0.0000000000000000, c=2.0000000000000000.
4976 // max(|f - f_GSL|): 0.0000000000000000
4977 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
4978 const testcase_hyperg<double>
4979 data106[19] =
4980 {
4981   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4982           2.0000000000000000, -0.90000000000000002 },
4983   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4984           2.0000000000000000, -0.80000000000000004 },
4985   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4986           2.0000000000000000, -0.69999999999999996 },
4987   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4988           2.0000000000000000, -0.59999999999999998 },
4989   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4990           2.0000000000000000, -0.50000000000000000 },
4991   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4992           2.0000000000000000, -0.40000000000000002 },
4993   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4994           2.0000000000000000, -0.30000000000000004 },
4995   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4996           2.0000000000000000, -0.19999999999999996 },
4997   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
4998           2.0000000000000000, -0.099999999999999978 },
4999   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5000           2.0000000000000000, 0.0000000000000000 },
5001   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5002           2.0000000000000000, 0.10000000000000009 },
5003   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5004           2.0000000000000000, 0.19999999999999996 },
5005   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5006           2.0000000000000000, 0.30000000000000004 },
5007   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5008           2.0000000000000000, 0.39999999999999991 },
5009   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5010           2.0000000000000000, 0.50000000000000000 },
5011   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5012           2.0000000000000000, 0.60000000000000009 },
5013   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5014           2.0000000000000000, 0.69999999999999996 },
5015   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5016           2.0000000000000000, 0.80000000000000004 },
5017   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5018           2.0000000000000000, 0.89999999999999991 },
5019 };
5020 const double toler106 = 2.5000000000000020e-13;
5021
5022 // Test data for a=2.0000000000000000, b=0.0000000000000000, c=4.0000000000000000.
5023 // max(|f - f_GSL|): 0.0000000000000000
5024 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
5025 const testcase_hyperg<double>
5026 data107[19] =
5027 {
5028   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5029           4.0000000000000000, -0.90000000000000002 },
5030   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5031           4.0000000000000000, -0.80000000000000004 },
5032   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5033           4.0000000000000000, -0.69999999999999996 },
5034   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5035           4.0000000000000000, -0.59999999999999998 },
5036   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5037           4.0000000000000000, -0.50000000000000000 },
5038   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5039           4.0000000000000000, -0.40000000000000002 },
5040   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5041           4.0000000000000000, -0.30000000000000004 },
5042   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5043           4.0000000000000000, -0.19999999999999996 },
5044   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5045           4.0000000000000000, -0.099999999999999978 },
5046   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5047           4.0000000000000000, 0.0000000000000000 },
5048   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5049           4.0000000000000000, 0.10000000000000009 },
5050   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5051           4.0000000000000000, 0.19999999999999996 },
5052   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5053           4.0000000000000000, 0.30000000000000004 },
5054   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5055           4.0000000000000000, 0.39999999999999991 },
5056   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5057           4.0000000000000000, 0.50000000000000000 },
5058   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5059           4.0000000000000000, 0.60000000000000009 },
5060   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5061           4.0000000000000000, 0.69999999999999996 },
5062   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5063           4.0000000000000000, 0.80000000000000004 },
5064   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5065           4.0000000000000000, 0.89999999999999991 },
5066 };
5067 const double toler107 = 2.5000000000000020e-13;
5068
5069 // Test data for a=2.0000000000000000, b=0.0000000000000000, c=6.0000000000000000.
5070 // max(|f - f_GSL|): 0.0000000000000000
5071 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
5072 const testcase_hyperg<double>
5073 data108[19] =
5074 {
5075   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5076           6.0000000000000000, -0.90000000000000002 },
5077   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5078           6.0000000000000000, -0.80000000000000004 },
5079   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5080           6.0000000000000000, -0.69999999999999996 },
5081   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5082           6.0000000000000000, -0.59999999999999998 },
5083   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5084           6.0000000000000000, -0.50000000000000000 },
5085   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5086           6.0000000000000000, -0.40000000000000002 },
5087   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5088           6.0000000000000000, -0.30000000000000004 },
5089   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5090           6.0000000000000000, -0.19999999999999996 },
5091   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5092           6.0000000000000000, -0.099999999999999978 },
5093   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5094           6.0000000000000000, 0.0000000000000000 },
5095   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5096           6.0000000000000000, 0.10000000000000009 },
5097   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5098           6.0000000000000000, 0.19999999999999996 },
5099   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5100           6.0000000000000000, 0.30000000000000004 },
5101   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5102           6.0000000000000000, 0.39999999999999991 },
5103   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5104           6.0000000000000000, 0.50000000000000000 },
5105   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5106           6.0000000000000000, 0.60000000000000009 },
5107   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5108           6.0000000000000000, 0.69999999999999996 },
5109   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5110           6.0000000000000000, 0.80000000000000004 },
5111   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5112           6.0000000000000000, 0.89999999999999991 },
5113 };
5114 const double toler108 = 2.5000000000000020e-13;
5115
5116 // Test data for a=2.0000000000000000, b=0.0000000000000000, c=8.0000000000000000.
5117 // max(|f - f_GSL|): 0.0000000000000000
5118 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
5119 const testcase_hyperg<double>
5120 data109[19] =
5121 {
5122   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5123           8.0000000000000000, -0.90000000000000002 },
5124   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5125           8.0000000000000000, -0.80000000000000004 },
5126   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5127           8.0000000000000000, -0.69999999999999996 },
5128   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5129           8.0000000000000000, -0.59999999999999998 },
5130   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5131           8.0000000000000000, -0.50000000000000000 },
5132   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5133           8.0000000000000000, -0.40000000000000002 },
5134   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5135           8.0000000000000000, -0.30000000000000004 },
5136   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5137           8.0000000000000000, -0.19999999999999996 },
5138   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5139           8.0000000000000000, -0.099999999999999978 },
5140   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5141           8.0000000000000000, 0.0000000000000000 },
5142   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5143           8.0000000000000000, 0.10000000000000009 },
5144   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5145           8.0000000000000000, 0.19999999999999996 },
5146   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5147           8.0000000000000000, 0.30000000000000004 },
5148   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5149           8.0000000000000000, 0.39999999999999991 },
5150   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5151           8.0000000000000000, 0.50000000000000000 },
5152   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5153           8.0000000000000000, 0.60000000000000009 },
5154   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5155           8.0000000000000000, 0.69999999999999996 },
5156   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5157           8.0000000000000000, 0.80000000000000004 },
5158   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5159           8.0000000000000000, 0.89999999999999991 },
5160 };
5161 const double toler109 = 2.5000000000000020e-13;
5162
5163 // Test data for a=2.0000000000000000, b=0.0000000000000000, c=10.000000000000000.
5164 // max(|f - f_GSL|): 0.0000000000000000
5165 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
5166 const testcase_hyperg<double>
5167 data110[19] =
5168 {
5169   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5170           10.000000000000000, -0.90000000000000002 },
5171   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5172           10.000000000000000, -0.80000000000000004 },
5173   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5174           10.000000000000000, -0.69999999999999996 },
5175   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5176           10.000000000000000, -0.59999999999999998 },
5177   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5178           10.000000000000000, -0.50000000000000000 },
5179   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5180           10.000000000000000, -0.40000000000000002 },
5181   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5182           10.000000000000000, -0.30000000000000004 },
5183   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5184           10.000000000000000, -0.19999999999999996 },
5185   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5186           10.000000000000000, -0.099999999999999978 },
5187   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5188           10.000000000000000, 0.0000000000000000 },
5189   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5190           10.000000000000000, 0.10000000000000009 },
5191   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5192           10.000000000000000, 0.19999999999999996 },
5193   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5194           10.000000000000000, 0.30000000000000004 },
5195   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5196           10.000000000000000, 0.39999999999999991 },
5197   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5198           10.000000000000000, 0.50000000000000000 },
5199   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5200           10.000000000000000, 0.60000000000000009 },
5201   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5202           10.000000000000000, 0.69999999999999996 },
5203   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5204           10.000000000000000, 0.80000000000000004 },
5205   { 1.0000000000000000, 2.0000000000000000, 0.0000000000000000,
5206           10.000000000000000, 0.89999999999999991 },
5207 };
5208 const double toler110 = 2.5000000000000020e-13;
5209
5210 // Test data for a=2.0000000000000000, b=0.50000000000000000, c=2.0000000000000000.
5211 // max(|f - f_GSL|): 4.4408920985006262e-16
5212 // max(|f - f_GSL| / |f_GSL|): 1.5700924586837752e-16
5213 const testcase_hyperg<double>
5214 data111[19] =
5215 {
5216   { 0.72547625011001171, 2.0000000000000000, 0.50000000000000000,
5217           2.0000000000000000, -0.90000000000000002 },
5218   { 0.74535599249992990, 2.0000000000000000, 0.50000000000000000,
5219           2.0000000000000000, -0.80000000000000004 },
5220   { 0.76696498884737041, 2.0000000000000000, 0.50000000000000000,
5221           2.0000000000000000, -0.69999999999999996 },
5222   { 0.79056941504209477, 2.0000000000000000, 0.50000000000000000,
5223           2.0000000000000000, -0.59999999999999998 },
5224   { 0.81649658092772603, 2.0000000000000000, 0.50000000000000000,
5225           2.0000000000000000, -0.50000000000000000 },
5226   { 0.84515425472851657, 2.0000000000000000, 0.50000000000000000,
5227           2.0000000000000000, -0.40000000000000002 },
5228   { 0.87705801930702920, 2.0000000000000000, 0.50000000000000000,
5229           2.0000000000000000, -0.30000000000000004 },
5230   { 0.91287092917527690, 2.0000000000000000, 0.50000000000000000,
5231           2.0000000000000000, -0.19999999999999996 },
5232   { 0.95346258924559224, 2.0000000000000000, 0.50000000000000000,
5233           2.0000000000000000, -0.099999999999999978 },
5234   { 1.0000000000000000, 2.0000000000000000, 0.50000000000000000,
5235           2.0000000000000000, 0.0000000000000000 },
5236   { 1.0540925533894598, 2.0000000000000000, 0.50000000000000000,
5237           2.0000000000000000, 0.10000000000000009 },
5238   { 1.1180339887498949, 2.0000000000000000, 0.50000000000000000,
5239           2.0000000000000000, 0.19999999999999996 },
5240   { 1.1952286093343938, 2.0000000000000000, 0.50000000000000000,
5241           2.0000000000000000, 0.30000000000000004 },
5242   { 1.2909944487358056, 2.0000000000000000, 0.50000000000000000,
5243           2.0000000000000000, 0.39999999999999991 },
5244   { 1.4142135623730949, 2.0000000000000000, 0.50000000000000000,
5245           2.0000000000000000, 0.50000000000000000 },
5246   { 1.5811388300841900, 2.0000000000000000, 0.50000000000000000,
5247           2.0000000000000000, 0.60000000000000009 },
5248   { 1.8257418583505536, 2.0000000000000000, 0.50000000000000000,
5249           2.0000000000000000, 0.69999999999999996 },
5250   { 2.2360679774997898, 2.0000000000000000, 0.50000000000000000,
5251           2.0000000000000000, 0.80000000000000004 },
5252   { 3.1622776601683782, 2.0000000000000000, 0.50000000000000000,
5253           2.0000000000000000, 0.89999999999999991 },
5254 };
5255 const double toler111 = 2.5000000000000020e-13;
5256
5257 // Test data for a=2.0000000000000000, b=0.50000000000000000, c=4.0000000000000000.
5258 // max(|f - f_GSL|): 4.4408920985006262e-16
5259 // max(|f - f_GSL| / |f_GSL|): 3.0893602609058104e-16
5260 const testcase_hyperg<double>
5261 data112[19] =
5262 {
5263   { 0.83664260086443765, 2.0000000000000000, 0.50000000000000000,
5264           4.0000000000000000, -0.90000000000000002 },
5265   { 0.85046584300227079, 2.0000000000000000, 0.50000000000000000,
5266           4.0000000000000000, -0.80000000000000004 },
5267   { 0.86509574979651649, 2.0000000000000000, 0.50000000000000000,
5268           4.0000000000000000, -0.69999999999999996 },
5269   { 0.88062082573041911, 2.0000000000000000, 0.50000000000000000,
5270           4.0000000000000000, -0.59999999999999998 },
5271   { 0.89714464248521597, 2.0000000000000000, 0.50000000000000000,
5272           4.0000000000000000, -0.50000000000000000 },
5273   { 0.91478946588967591, 2.0000000000000000, 0.50000000000000000,
5274           4.0000000000000000, -0.40000000000000002 },
5275   { 0.93370105322348573, 2.0000000000000000, 0.50000000000000000,
5276           4.0000000000000000, -0.30000000000000004 },
5277   { 0.95405511057700887, 2.0000000000000000, 0.50000000000000000,
5278           4.0000000000000000, -0.19999999999999996 },
5279   { 0.97606616007978142, 2.0000000000000000, 0.50000000000000000,
5280           4.0000000000000000, -0.099999999999999978 },
5281   { 1.0000000000000000, 2.0000000000000000, 0.50000000000000000,
5282           4.0000000000000000, 0.0000000000000000 },
5283   { 1.0261916902334731, 2.0000000000000000, 0.50000000000000000,
5284           4.0000000000000000, 0.10000000000000009 },
5285   { 1.0550723519434702, 2.0000000000000000, 0.50000000000000000,
5286           4.0000000000000000, 0.19999999999999996 },
5287   { 1.0872106588188091, 2.0000000000000000, 0.50000000000000000,
5288           4.0000000000000000, 0.30000000000000004 },
5289   { 1.1233801699379020, 2.0000000000000000, 0.50000000000000000,
5290           4.0000000000000000, 0.39999999999999991 },
5291   { 1.1646752981725688, 2.0000000000000000, 0.50000000000000000,
5292           4.0000000000000000, 0.50000000000000000 },
5293   { 1.2127272514219511, 2.0000000000000000, 0.50000000000000000,
5294           4.0000000000000000, 0.60000000000000009 },
5295   { 1.2701518651068637, 2.0000000000000000, 0.50000000000000000,
5296           4.0000000000000000, 0.69999999999999996 },
5297   { 1.3416407864998725, 2.0000000000000000, 0.50000000000000000,
5298           4.0000000000000000, 0.80000000000000004 },
5299   { 1.4374795179111102, 2.0000000000000000, 0.50000000000000000,
5300           4.0000000000000000, 0.89999999999999991 },
5301 };
5302 const double toler112 = 2.5000000000000020e-13;
5303
5304 // Test data for a=2.0000000000000000, b=0.50000000000000000, c=6.0000000000000000.
5305 // max(|f - f_GSL|): 3.3306690738754696e-16
5306 // max(|f - f_GSL| / |f_GSL|): 3.3853500746952663e-16
5307 const testcase_hyperg<double>
5308 data113[19] =
5309 {
5310   { 0.88195381730235822, 2.0000000000000000, 0.50000000000000000,
5311           6.0000000000000000, -0.90000000000000002 },
5312   { 0.89265078469555081, 2.0000000000000000, 0.50000000000000000,
5313           6.0000000000000000, -0.80000000000000004 },
5314   { 0.90382937908303673, 2.0000000000000000, 0.50000000000000000,
5315           6.0000000000000000, -0.69999999999999996 },
5316   { 0.91553161389880600, 2.0000000000000000, 0.50000000000000000,
5317           6.0000000000000000, -0.59999999999999998 },
5318   { 0.92780530349281509, 2.0000000000000000, 0.50000000000000000,
5319           6.0000000000000000, -0.50000000000000000 },
5320   { 0.94070521140346008, 2.0000000000000000, 0.50000000000000000,
5321           6.0000000000000000, -0.40000000000000002 },
5322   { 0.95429450630523383, 2.0000000000000000, 0.50000000000000000,
5323           6.0000000000000000, -0.30000000000000004 },
5324   { 0.96864663325785849, 2.0000000000000000, 0.50000000000000000,
5325           6.0000000000000000, -0.19999999999999996 },
5326   { 0.98384775588541795, 2.0000000000000000, 0.50000000000000000,
5327           6.0000000000000000, -0.099999999999999978 },
5328   { 1.0000000000000000, 2.0000000000000000, 0.50000000000000000,
5329           6.0000000000000000, 0.0000000000000000 },
5330   { 1.0172258496884334, 2.0000000000000000, 0.50000000000000000,
5331           6.0000000000000000, 0.10000000000000009 },
5332   { 1.0356742479163459, 2.0000000000000000, 0.50000000000000000,
5333           6.0000000000000000, 0.19999999999999996 },
5334   { 1.0555293036908924, 2.0000000000000000, 0.50000000000000000,
5335           6.0000000000000000, 0.30000000000000004 },
5336   { 1.0770231491562379, 2.0000000000000000, 0.50000000000000000,
5337           6.0000000000000000, 0.39999999999999991 },
5338   { 1.1004557416484888, 2.0000000000000000, 0.50000000000000000,
5339           6.0000000000000000, 0.50000000000000000 },
5340   { 1.1262270515731978, 2.0000000000000000, 0.50000000000000000,
5341           6.0000000000000000, 0.60000000000000009 },
5342   { 1.1548932919125086, 2.0000000000000000, 0.50000000000000000,
5343           6.0000000000000000, 0.69999999999999996 },
5344   { 1.1872757758134724, 2.0000000000000000, 0.50000000000000000,
5345           6.0000000000000000, 0.80000000000000004 },
5346   { 1.2247091713458949, 2.0000000000000000, 0.50000000000000000,
5347           6.0000000000000000, 0.89999999999999991 },
5348 };
5349 const double toler113 = 2.5000000000000020e-13;
5350
5351 // Test data for a=2.0000000000000000, b=0.50000000000000000, c=8.0000000000000000.
5352 // max(|f - f_GSL|): 2.2204460492503131e-16
5353 // max(|f - f_GSL| / |f_GSL|): 2.2746445692007949e-16
5354 const testcase_hyperg<double>
5355 data114[19] =
5356 {
5357   { 0.90716919697107279, 2.0000000000000000, 0.50000000000000000,
5358           8.0000000000000000, -0.90000000000000002 },
5359   { 0.91592299407142508, 2.0000000000000000, 0.50000000000000000,
5360           8.0000000000000000, -0.80000000000000004 },
5361   { 0.92500027075874192, 2.0000000000000000, 0.50000000000000000,
5362           8.0000000000000000, -0.69999999999999996 },
5363   { 0.93442464185467122, 2.0000000000000000, 0.50000000000000000,
5364           8.0000000000000000, -0.59999999999999998 },
5365   { 0.94422248683737076, 2.0000000000000000, 0.50000000000000000,
5366           8.0000000000000000, -0.50000000000000000 },
5367   { 0.95442341810133324, 2.0000000000000000, 0.50000000000000000,
5368           8.0000000000000000, -0.40000000000000002 },
5369   { 0.96506085725516355, 2.0000000000000000, 0.50000000000000000,
5370           8.0000000000000000, -0.30000000000000004 },
5371   { 0.97617275213704069, 2.0000000000000000, 0.50000000000000000,
5372           8.0000000000000000, -0.19999999999999996 },
5373   { 0.98780247986309799, 2.0000000000000000, 0.50000000000000000,
5374           8.0000000000000000, -0.099999999999999978 },
5375   { 1.0000000000000000, 2.0000000000000000, 0.50000000000000000,
5376           8.0000000000000000, 0.0000000000000000 },
5377   { 1.0128233505813447, 2.0000000000000000, 0.50000000000000000,
5378           8.0000000000000000, 0.10000000000000009 },
5379   { 1.0263406246541855, 2.0000000000000000, 0.50000000000000000,
5380           8.0000000000000000, 0.19999999999999996 },
5381   { 1.0406326381700366, 2.0000000000000000, 0.50000000000000000,
5382           8.0000000000000000, 0.30000000000000004 },
5383   { 1.0557966239802845, 2.0000000000000000, 0.50000000000000000,
5384           8.0000000000000000, 0.39999999999999991 },
5385   { 1.0719515075786321, 2.0000000000000000, 0.50000000000000000,
5386           8.0000000000000000, 0.50000000000000000 },
5387   { 1.0892457392422055, 2.0000000000000000, 0.50000000000000000,
5388           8.0000000000000000, 0.60000000000000009 },
5389   { 1.1078695188000958, 2.0000000000000000, 0.50000000000000000,
5390           8.0000000000000000, 0.69999999999999996 },
5391   { 1.1280752258974340, 2.0000000000000000, 0.50000000000000000,
5392           8.0000000000000000, 0.80000000000000004 },
5393   { 1.1502152002706476, 2.0000000000000000, 0.50000000000000000,
5394           8.0000000000000000, 0.89999999999999991 },
5395 };
5396 const double toler114 = 2.5000000000000020e-13;
5397
5398 // Test data for a=2.0000000000000000, b=0.50000000000000000, c=10.000000000000000.
5399 // max(|f - f_GSL|): 4.4408920985006262e-16
5400 // max(|f - f_GSL| / |f_GSL|): 4.4848478782807992e-16
5401 const testcase_hyperg<double>
5402 data115[19] =
5403 {
5404   { 0.92336416053263082, 2.0000000000000000, 0.50000000000000000,
5405           10.000000000000000, -0.90000000000000002 },
5406   { 0.93078397248364542, 2.0000000000000000, 0.50000000000000000,
5407           10.000000000000000, -0.80000000000000004 },
5408   { 0.93843714333600259, 2.0000000000000000, 0.50000000000000000,
5409           10.000000000000000, -0.69999999999999996 },
5410   { 0.94633837784068098, 2.0000000000000000, 0.50000000000000000,
5411           10.000000000000000, -0.59999999999999998 },
5412   { 0.95450388104967876, 2.0000000000000000, 0.50000000000000000,
5413           10.000000000000000, -0.50000000000000000 },
5414   { 0.96295158125742752, 2.0000000000000000, 0.50000000000000000,
5415           10.000000000000000, -0.40000000000000002 },
5416   { 0.97170139827854318, 2.0000000000000000, 0.50000000000000000,
5417           10.000000000000000, -0.30000000000000004 },
5418   { 0.98077556918512687, 2.0000000000000000, 0.50000000000000000,
5419           10.000000000000000, -0.19999999999999996 },
5420   { 0.99019904777750845, 2.0000000000000000, 0.50000000000000000,
5421           10.000000000000000, -0.099999999999999978 },
5422   { 1.0000000000000000, 2.0000000000000000, 0.50000000000000000,
5423           10.000000000000000, 0.0000000000000000 },
5424   { 1.0102104261941198, 2.0000000000000000, 0.50000000000000000,
5425           10.000000000000000, 0.10000000000000009 },
5426   { 1.0208669540935695, 2.0000000000000000, 0.50000000000000000,
5427           10.000000000000000, 0.19999999999999996 },
5428   { 1.0320118665407505, 2.0000000000000000, 0.50000000000000000,
5429           10.000000000000000, 0.30000000000000004 },
5430   { 1.0436944599504387, 2.0000000000000000, 0.50000000000000000,
5431           10.000000000000000, 0.39999999999999991 },
5432   { 1.0559728828278145, 2.0000000000000000, 0.50000000000000000,
5433           10.000000000000000, 0.50000000000000000 },
5434   { 1.0689166967761712, 2.0000000000000000, 0.50000000000000000,
5435           10.000000000000000, 0.60000000000000009 },
5436   { 1.0826105758119842, 2.0000000000000000, 0.50000000000000000,
5437           10.000000000000000, 0.69999999999999996 },
5438   { 1.0971599106346146, 2.0000000000000000, 0.50000000000000000,
5439           10.000000000000000, 0.80000000000000004 },
5440   { 1.1126998828023964, 2.0000000000000000, 0.50000000000000000,
5441           10.000000000000000, 0.89999999999999991 },
5442 };
5443 const double toler115 = 2.5000000000000020e-13;
5444
5445 // Test data for a=2.0000000000000000, b=1.0000000000000000, c=2.0000000000000000.
5446 // max(|f - f_GSL|): 1.7763568394002505e-15
5447 // max(|f - f_GSL| / |f_GSL|): 2.1094237467877971e-16
5448 const testcase_hyperg<double>
5449 data116[19] =
5450 {
5451   { 0.52631578947368429, 2.0000000000000000, 1.0000000000000000,
5452           2.0000000000000000, -0.90000000000000002 },
5453   { 0.55555555555555558, 2.0000000000000000, 1.0000000000000000,
5454           2.0000000000000000, -0.80000000000000004 },
5455   { 0.58823529411764708, 2.0000000000000000, 1.0000000000000000,
5456           2.0000000000000000, -0.69999999999999996 },
5457   { 0.62500000000000000, 2.0000000000000000, 1.0000000000000000,
5458           2.0000000000000000, -0.59999999999999998 },
5459   { 0.66666666666666663, 2.0000000000000000, 1.0000000000000000,
5460           2.0000000000000000, -0.50000000000000000 },
5461   { 0.71428571428571430, 2.0000000000000000, 1.0000000000000000,
5462           2.0000000000000000, -0.40000000000000002 },
5463   { 0.76923076923076927, 2.0000000000000000, 1.0000000000000000,
5464           2.0000000000000000, -0.30000000000000004 },
5465   { 0.83333333333333337, 2.0000000000000000, 1.0000000000000000,
5466           2.0000000000000000, -0.19999999999999996 },
5467   { 0.90909090909090906, 2.0000000000000000, 1.0000000000000000,
5468           2.0000000000000000, -0.099999999999999978 },
5469   { 1.0000000000000000, 2.0000000000000000, 1.0000000000000000,
5470           2.0000000000000000, 0.0000000000000000 },
5471   { 1.1111111111111112, 2.0000000000000000, 1.0000000000000000,
5472           2.0000000000000000, 0.10000000000000009 },
5473   { 1.2500000000000000, 2.0000000000000000, 1.0000000000000000,
5474           2.0000000000000000, 0.19999999999999996 },
5475   { 1.4285714285714286, 2.0000000000000000, 1.0000000000000000,
5476           2.0000000000000000, 0.30000000000000004 },
5477   { 1.6666666666666663, 2.0000000000000000, 1.0000000000000000,
5478           2.0000000000000000, 0.39999999999999991 },
5479   { 2.0000000000000000, 2.0000000000000000, 1.0000000000000000,
5480           2.0000000000000000, 0.50000000000000000 },
5481   { 2.5000000000000004, 2.0000000000000000, 1.0000000000000000,
5482           2.0000000000000000, 0.60000000000000009 },
5483   { 3.3333333333333330, 2.0000000000000000, 1.0000000000000000,
5484           2.0000000000000000, 0.69999999999999996 },
5485   { 5.0000000000000009, 2.0000000000000000, 1.0000000000000000,
5486           2.0000000000000000, 0.80000000000000004 },
5487   { 9.9999999999999929, 2.0000000000000000, 1.0000000000000000,
5488           2.0000000000000000, 0.89999999999999991 },
5489 };
5490 const double toler116 = 2.5000000000000020e-13;
5491
5492 // Test data for a=2.0000000000000000, b=1.0000000000000000, c=4.0000000000000000.
5493 // max(|f - f_GSL|): 2.6645352591003757e-15
5494 // max(|f - f_GSL| / |f_GSL|): 1.2228571846595251e-15
5495 const testcase_hyperg<double>
5496 data117[19] =
5497 {
5498   { 0.70351947549341554, 2.0000000000000000, 1.0000000000000000,
5499           4.0000000000000000, -0.90000000000000002 },
5500   { 0.72637503722092756, 2.0000000000000000, 1.0000000000000000,
5501           4.0000000000000000, -0.80000000000000004 },
5502   { 0.75099661564391240, 2.0000000000000000, 1.0000000000000000,
5503           4.0000000000000000, -0.69999999999999996 },
5504   { 0.77761647796730871, 2.0000000000000000, 1.0000000000000000,
5505           4.0000000000000000, -0.59999999999999998 },
5506   { 0.80651221621216473, 2.0000000000000000, 1.0000000000000000,
5507           4.0000000000000000, -0.50000000000000000 },
5508   { 0.83801894346580241, 2.0000000000000000, 1.0000000000000000,
5509           4.0000000000000000, -0.40000000000000002 },
5510   { 0.87254582050258456, 2.0000000000000000, 1.0000000000000000,
5511           4.0000000000000000, -0.30000000000000004 },
5512   { 0.91059888544083678, 2.0000000000000000, 1.0000000000000000,
5513           4.0000000000000000, -0.19999999999999996 },
5514   { 0.95281329145592386, 2.0000000000000000, 1.0000000000000000,
5515           4.0000000000000000, -0.099999999999999978 },
5516   { 1.0000000000000000, 2.0000000000000000, 1.0000000000000000,
5517           4.0000000000000000, 0.0000000000000000 },
5518   { 1.0532154477379738, 2.0000000000000000, 1.0000000000000000,
5519           4.0000000000000000, 0.10000000000000009 },
5520   { 1.1138692114741471, 2.0000000000000000, 1.0000000000000000,
5521           4.0000000000000000, 0.19999999999999996 },
5522   { 1.1838976095305187, 2.0000000000000000, 1.0000000000000000,
5523           4.0000000000000000, 0.30000000000000004 },
5524   { 1.2660586631630237, 2.0000000000000000, 1.0000000000000000,
5525           4.0000000000000000, 0.39999999999999991 },
5526   { 1.3644676665613118, 2.0000000000000000, 1.0000000000000000,
5527           4.0000000000000000, 0.50000000000000000 },
5528   { 1.4856585347316102, 2.0000000000000000, 1.0000000000000000,
5529           4.0000000000000000, 0.60000000000000009 },
5530   { 1.6409590443536872, 2.0000000000000000, 1.0000000000000000,
5531           4.0000000000000000, 0.69999999999999996 },
5532   { 1.8528798927325769, 2.0000000000000000, 1.0000000000000000,
5533           4.0000000000000000, 0.80000000000000004 },
5534   { 2.1789423102929644, 2.0000000000000000, 1.0000000000000000,
5535           4.0000000000000000, 0.89999999999999991 },
5536 };
5537 const double toler117 = 2.5000000000000020e-13;
5538
5539 // Test data for a=2.0000000000000000, b=1.0000000000000000, c=6.0000000000000000.
5540 // max(|f - f_GSL|): 6.6613381477509392e-16
5541 // max(|f - f_GSL| / |f_GSL|): 4.3538225385592644e-16
5542 const testcase_hyperg<double>
5543 data118[19] =
5544 {
5545   { 0.78068027379106275, 2.0000000000000000, 1.0000000000000000,
5546           6.0000000000000000, -0.90000000000000002 },
5547   { 0.79924541976981278, 2.0000000000000000, 1.0000000000000000,
5548           6.0000000000000000, -0.80000000000000004 },
5549   { 0.81891305585650975, 2.0000000000000000, 1.0000000000000000,
5550           6.0000000000000000, -0.69999999999999996 },
5551   { 0.83979799626213247, 2.0000000000000000, 1.0000000000000000,
5552           6.0000000000000000, -0.59999999999999998 },
5553   { 0.86203315303160111, 2.0000000000000000, 1.0000000000000000,
5554           6.0000000000000000, -0.50000000000000000 },
5555   { 0.88577352485361693, 2.0000000000000000, 1.0000000000000000,
5556           6.0000000000000000, -0.40000000000000002 },
5557   { 0.91120135738402230, 2.0000000000000000, 1.0000000000000000,
5558           6.0000000000000000, -0.30000000000000004 },
5559   { 0.93853291956703588, 2.0000000000000000, 1.0000000000000000,
5560           6.0000000000000000, -0.19999999999999996 },
5561   { 0.96802755388922956, 2.0000000000000000, 1.0000000000000000,
5562           6.0000000000000000, -0.099999999999999978 },
5563   { 1.0000000000000000, 2.0000000000000000, 1.0000000000000000,
5564           6.0000000000000000, 0.0000000000000000 },
5565   { 1.0348375559194773, 2.0000000000000000, 1.0000000000000000,
5566           6.0000000000000000, 0.10000000000000009 },
5567   { 1.0730246119544820, 2.0000000000000000, 1.0000000000000000,
5568           6.0000000000000000, 0.19999999999999996 },
5569   { 1.1151788396279341, 2.0000000000000000, 1.0000000000000000,
5570           6.0000000000000000, 0.30000000000000004 },
5571   { 1.1621066403893472, 2.0000000000000000, 1.0000000000000000,
5572           6.0000000000000000, 0.39999999999999991 },
5573   { 1.2148922218710421, 2.0000000000000000, 1.0000000000000000,
5574           6.0000000000000000, 0.50000000000000000 },
5575   { 1.2750496810838674, 2.0000000000000000, 1.0000000000000000,
5576           6.0000000000000000, 0.60000000000000009 },
5577   { 1.3448048570872917, 2.0000000000000000, 1.0000000000000000,
5578           6.0000000000000000, 0.69999999999999996 },
5579   { 1.4276833109859521, 2.0000000000000000, 1.0000000000000000,
5580           6.0000000000000000, 0.80000000000000004 },
5581   { 1.5299976259379788, 2.0000000000000000, 1.0000000000000000,
5582           6.0000000000000000, 0.89999999999999991 },
5583 };
5584 const double toler118 = 2.5000000000000020e-13;
5585
5586 // Test data for a=2.0000000000000000, b=1.0000000000000000, c=8.0000000000000000.
5587 // max(|f - f_GSL|): 2.2204460492503131e-16
5588 // max(|f - f_GSL| / |f_GSL|): 2.3297369954770822e-16
5589 const testcase_hyperg<double>
5590 data119[19] =
5591 {
5592   { 0.82510759951857615, 2.0000000000000000, 1.0000000000000000,
5593           8.0000000000000000, -0.90000000000000002 },
5594   { 0.84072786892782070, 2.0000000000000000, 1.0000000000000000,
5595           8.0000000000000000, -0.80000000000000004 },
5596   { 0.85710884896562356, 2.0000000000000000, 1.0000000000000000,
5597           8.0000000000000000, -0.69999999999999996 },
5598   { 0.87431674418118244, 2.0000000000000000, 1.0000000000000000,
5599           8.0000000000000000, -0.59999999999999998 },
5600   { 0.89242659229726995, 2.0000000000000000, 1.0000000000000000,
5601           8.0000000000000000, -0.50000000000000000 },
5602   { 0.91152392685930350, 2.0000000000000000, 1.0000000000000000,
5603           8.0000000000000000, -0.40000000000000002 },
5604   { 0.93170685950993570, 2.0000000000000000, 1.0000000000000000,
5605           8.0000000000000000, -0.30000000000000004 },
5606   { 0.95308871926790661, 2.0000000000000000, 1.0000000000000000,
5607           8.0000000000000000, -0.19999999999999996 },
5608   { 0.97580144325325802, 2.0000000000000000, 1.0000000000000000,
5609           8.0000000000000000, -0.099999999999999978 },
5610   { 1.0000000000000000, 2.0000000000000000, 1.0000000000000000,
5611           8.0000000000000000, 0.0000000000000000 },
5612   { 1.0258682619030324, 2.0000000000000000, 1.0000000000000000,
5613           8.0000000000000000, 0.10000000000000009 },
5614   { 1.0536269616706000, 2.0000000000000000, 1.0000000000000000,
5615           8.0000000000000000, 0.19999999999999996 },
5616   { 1.0835447330793833, 2.0000000000000000, 1.0000000000000000,
5617           8.0000000000000000, 0.30000000000000004 },
5618   { 1.1159538758396654, 2.0000000000000000, 1.0000000000000000,
5619           8.0000000000000000, 0.39999999999999991 },
5620   { 1.1512736659291880, 2.0000000000000000, 1.0000000000000000,
5621           8.0000000000000000, 0.50000000000000000 },
5622   { 1.1900463690116090, 2.0000000000000000, 1.0000000000000000,
5623           8.0000000000000000, 0.60000000000000009 },
5624   { 1.2329961591622411, 2.0000000000000000, 1.0000000000000000,
5625           8.0000000000000000, 0.69999999999999996 },
5626   { 1.2811334345669059, 2.0000000000000000, 1.0000000000000000,
5627           8.0000000000000000, 0.80000000000000004 },
5628   { 1.3359629014132051, 2.0000000000000000, 1.0000000000000000,
5629           8.0000000000000000, 0.89999999999999991 },
5630 };
5631 const double toler119 = 2.5000000000000020e-13;
5632
5633 // Test data for a=2.0000000000000000, b=1.0000000000000000, c=10.000000000000000.
5634 // max(|f - f_GSL|): 4.4408920985006262e-16
5635 // max(|f - f_GSL| / |f_GSL|): 4.6160879869309861e-16
5636 const testcase_hyperg<double>
5637 data120[19] =
5638 {
5639   { 0.85426123653345876, 2.0000000000000000, 1.0000000000000000,
5640           10.000000000000000, -0.90000000000000002 },
5641   { 0.86774543390930414, 2.0000000000000000, 1.0000000000000000,
5642           10.000000000000000, -0.80000000000000004 },
5643   { 0.88178859537254239, 2.0000000000000000, 1.0000000000000000,
5644           10.000000000000000, -0.69999999999999996 },
5645   { 0.89643269097060951, 2.0000000000000000, 1.0000000000000000,
5646           10.000000000000000, -0.59999999999999998 },
5647   { 0.91172456687216819, 2.0000000000000000, 1.0000000000000000,
5648           10.000000000000000, -0.50000000000000000 },
5649   { 0.92771674975966123, 2.0000000000000000, 1.0000000000000000,
5650           10.000000000000000, -0.40000000000000002 },
5651   { 0.94446842993888647, 2.0000000000000000, 1.0000000000000000,
5652           10.000000000000000, -0.30000000000000004 },
5653   { 0.96204667481937678, 2.0000000000000000, 1.0000000000000000,
5654           10.000000000000000, -0.19999999999999996 },
5655   { 0.98052794339012128, 2.0000000000000000, 1.0000000000000000,
5656           10.000000000000000, -0.099999999999999978 },
5657   { 1.0000000000000000, 2.0000000000000000, 1.0000000000000000,
5658           10.000000000000000, 0.0000000000000000 },
5659   { 1.0205643671068179, 2.0000000000000000, 1.0000000000000000,
5660           10.000000000000000, 0.10000000000000009 },
5661   { 1.0423395201078882, 2.0000000000000000, 1.0000000000000000,
5662           10.000000000000000, 0.19999999999999996 },
5663   { 1.0654651277885334, 2.0000000000000000, 1.0000000000000000,
5664           10.000000000000000, 0.30000000000000004 },
5665   { 1.0901078068101382, 2.0000000000000000, 1.0000000000000000,
5666           10.000000000000000, 0.39999999999999991 },
5667   { 1.1164691415928940, 2.0000000000000000, 1.0000000000000000,
5668           10.000000000000000, 0.50000000000000000 },
5669   { 1.1447972335326551, 2.0000000000000000, 1.0000000000000000,
5670           10.000000000000000, 0.60000000000000009 },
5671   { 1.1754040384534161, 2.0000000000000000, 1.0000000000000000,
5672           10.000000000000000, 0.69999999999999996 },
5673   { 1.2086928679893112, 2.0000000000000000, 1.0000000000000000,
5674           10.000000000000000, 0.80000000000000004 },
5675   { 1.2452055640510711, 2.0000000000000000, 1.0000000000000000,
5676           10.000000000000000, 0.89999999999999991 },
5677 };
5678 const double toler120 = 2.5000000000000020e-13;
5679
5680 // Test data for a=2.0000000000000000, b=2.0000000000000000, c=2.0000000000000000.
5681 // max(|f - f_GSL|): 4.2632564145606011e-14
5682 // max(|f - f_GSL| / |f_GSL|): 4.2632564145606064e-16
5683 const testcase_hyperg<double>
5684 data121[19] =
5685 {
5686   { 0.27700831024930750, 2.0000000000000000, 2.0000000000000000,
5687           2.0000000000000000, -0.90000000000000002 },
5688   { 0.30864197530864196, 2.0000000000000000, 2.0000000000000000,
5689           2.0000000000000000, -0.80000000000000004 },
5690   { 0.34602076124567477, 2.0000000000000000, 2.0000000000000000,
5691           2.0000000000000000, -0.69999999999999996 },
5692   { 0.39062499999999994, 2.0000000000000000, 2.0000000000000000,
5693           2.0000000000000000, -0.59999999999999998 },
5694   { 0.44444444444444442, 2.0000000000000000, 2.0000000000000000,
5695           2.0000000000000000, -0.50000000000000000 },
5696   { 0.51020408163265307, 2.0000000000000000, 2.0000000000000000,
5697           2.0000000000000000, -0.40000000000000002 },
5698   { 0.59171597633136097, 2.0000000000000000, 2.0000000000000000,
5699           2.0000000000000000, -0.30000000000000004 },
5700   { 0.69444444444444453, 2.0000000000000000, 2.0000000000000000,
5701           2.0000000000000000, -0.19999999999999996 },
5702   { 0.82644628099173545, 2.0000000000000000, 2.0000000000000000,
5703           2.0000000000000000, -0.099999999999999978 },
5704   { 1.0000000000000000, 2.0000000000000000, 2.0000000000000000,
5705           2.0000000000000000, 0.0000000000000000 },
5706   { 1.2345679012345681, 2.0000000000000000, 2.0000000000000000,
5707           2.0000000000000000, 0.10000000000000009 },
5708   { 1.5624999999999998, 2.0000000000000000, 2.0000000000000000,
5709           2.0000000000000000, 0.19999999999999996 },
5710   { 2.0408163265306127, 2.0000000000000000, 2.0000000000000000,
5711           2.0000000000000000, 0.30000000000000004 },
5712   { 2.7777777777777768, 2.0000000000000000, 2.0000000000000000,
5713           2.0000000000000000, 0.39999999999999991 },
5714   { 4.0000000000000000, 2.0000000000000000, 2.0000000000000000,
5715           2.0000000000000000, 0.50000000000000000 },
5716   { 6.2500000000000036, 2.0000000000000000, 2.0000000000000000,
5717           2.0000000000000000, 0.60000000000000009 },
5718   { 11.111111111111109, 2.0000000000000000, 2.0000000000000000,
5719           2.0000000000000000, 0.69999999999999996 },
5720   { 25.000000000000007, 2.0000000000000000, 2.0000000000000000,
5721           2.0000000000000000, 0.80000000000000004 },
5722   { 99.999999999999872, 2.0000000000000000, 2.0000000000000000,
5723           2.0000000000000000, 0.89999999999999991 },
5724 };
5725 const double toler121 = 2.5000000000000020e-13;
5726
5727 // Test data for a=2.0000000000000000, b=2.0000000000000000, c=4.0000000000000000.
5728 // max(|f - f_GSL|): 7.9936057773011271e-15
5729 // max(|f - f_GSL| / |f_GSL|): 1.3252801810681365e-15
5730 const testcase_hyperg<double>
5731 data122[19] =
5732 {
5733   { 0.50515448477320835, 2.0000000000000000, 2.0000000000000000,
5734           4.0000000000000000, -0.90000000000000002 },
5735   { 0.53674994210078020, 2.0000000000000000, 2.0000000000000000,
5736           4.0000000000000000, -0.80000000000000004 },
5737   { 0.57194655162437413, 2.0000000000000000, 2.0000000000000000,
5738           4.0000000000000000, -0.69999999999999996 },
5739   { 0.61137322330312327, 2.0000000000000000, 2.0000000000000000,
5740           4.0000000000000000, -0.59999999999999998 },
5741   { 0.65581297297972585, 2.0000000000000000, 2.0000000000000000,
5742           4.0000000000000000, -0.50000000000000000 },
5743   { 0.70625323977290944, 2.0000000000000000, 2.0000000000000000,
5744           4.0000000000000000, -0.40000000000000002 },
5745   { 0.76395739449542666, 2.0000000000000000, 2.0000000000000000,
5746           4.0000000000000000, -0.30000000000000004 },
5747   { 0.83056871002513311, 2.0000000000000000, 2.0000000000000000,
5748           4.0000000000000000, -0.19999999999999996 },
5749   { 0.90826553449323655, 2.0000000000000000, 2.0000000000000000,
5750           4.0000000000000000, -0.099999999999999978 },
5751   { 1.0000000000000000, 2.0000000000000000, 2.0000000000000000,
5752           4.0000000000000000, 0.0000000000000000 },
5753   { 1.1098784992198341, 2.0000000000000000, 2.0000000000000000,
5754           4.0000000000000000, 0.10000000000000009 },
5755   { 1.2437942741831700, 2.0000000000000000, 2.0000000000000000,
5756           4.0000000000000000, 0.19999999999999996 },
5757   { 1.4105343768544543, 2.0000000000000000, 2.0000000000000000,
5758           4.0000000000000000, 0.30000000000000004 },
5759   { 1.6238435648986016, 2.0000000000000000, 2.0000000000000000,
5760           4.0000000000000000, 0.39999999999999991 },
5761   { 1.9065970003160624, 2.0000000000000000, 2.0000000000000000,
5762           4.0000000000000000, 0.50000000000000000 },
5763   { 2.3001951284393627, 2.0000000000000000, 2.0000000000000000,
5764           4.0000000000000000, 0.60000000000000009 },
5765   { 2.8891774744673464, 2.0000000000000000, 2.0000000000000000,
5766           4.0000000000000000, 0.69999999999999996 },
5767   { 3.8827206436045336, 2.0000000000000000, 2.0000000000000000,
5768           4.0000000000000000, 0.80000000000000004 },
5769   { 6.0316345867773542, 2.0000000000000000, 2.0000000000000000,
5770           4.0000000000000000, 0.89999999999999991 },
5771 };
5772 const double toler122 = 2.5000000000000020e-13;
5773
5774 // Test data for a=2.0000000000000000, b=2.0000000000000000, c=6.0000000000000000.
5775 // max(|f - f_GSL|): 3.1086244689504383e-15
5776 // max(|f - f_GSL| / |f_GSL|): 1.2095468681839719e-15
5777 const testcase_hyperg<double>
5778 data123[19] =
5779 {
5780   { 0.61824560969673270, 2.0000000000000000, 2.0000000000000000,
5781           6.0000000000000000, -0.90000000000000002 },
5782   { 0.64645665839161026, 2.0000000000000000, 2.0000000000000000,
5783           6.0000000000000000, -0.80000000000000004 },
5784   { 0.67712272792612116, 2.0000000000000000, 2.0000000000000000,
5785           6.0000000000000000, -0.69999999999999996 },
5786   { 0.71058076074636822, 2.0000000000000000, 2.0000000000000000,
5787           6.0000000000000000, -0.59999999999999998 },
5788   { 0.74723387423852838, 2.0000000000000000, 2.0000000000000000,
5789           6.0000000000000000, -0.50000000000000000 },
5790   { 0.78756892188863170, 2.0000000000000000, 2.0000000000000000,
5791           6.0000000000000000, -0.40000000000000002 },
5792   { 0.83218012557592713, 2.0000000000000000, 2.0000000000000000,
5793           6.0000000000000000, -0.30000000000000004 },
5794   { 0.88180144818204143, 2.0000000000000000, 2.0000000000000000,
5795           6.0000000000000000, -0.19999999999999996 },
5796   { 0.93735184459468934, 2.0000000000000000, 2.0000000000000000,
5797           6.0000000000000000, -0.099999999999999978 },
5798   { 1.0000000000000000, 2.0000000000000000, 2.0000000000000000,
5799           6.0000000000000000, 0.0000000000000000 },
5800   { 1.0712594799044883, 2.0000000000000000, 2.0000000000000000,
5801           6.0000000000000000, 0.10000000000000009 },
5802   { 1.1531330932162096, 2.0000000000000000, 2.0000000000000000,
5803           6.0000000000000000, 0.19999999999999996 },
5804   { 1.2483404191094898, 2.0000000000000000, 2.0000000000000000,
5805           6.0000000000000000, 0.30000000000000004 },
5806   { 1.3606934909972501, 2.0000000000000000, 2.0000000000000000,
5807           6.0000000000000000, 0.39999999999999991 },
5808   { 1.4957544469027071, 2.0000000000000000, 2.0000000000000000,
5809           6.0000000000000000, 0.50000000000000000 },
5810   { 1.6620777107871287, 2.0000000000000000, 2.0000000000000000,
5811           6.0000000000000000, 0.60000000000000009 },
5812   { 1.8738132387064506, 2.0000000000000000, 2.0000000000000000,
5813           6.0000000000000000, 0.69999999999999996 },
5814   { 2.1570670242247409, 2.0000000000000000, 2.0000000000000000,
5815           6.0000000000000000, 0.80000000000000004 },
5816   { 2.5700735959225494, 2.0000000000000000, 2.0000000000000000,
5817           6.0000000000000000, 0.89999999999999991 },
5818 };
5819 const double toler123 = 2.5000000000000020e-13;
5820
5821 // Test data for a=2.0000000000000000, b=2.0000000000000000, c=8.0000000000000000.
5822 // max(|f - f_GSL|): 1.1102230246251565e-15
5823 // max(|f - f_GSL| / |f_GSL|): 6.1065577401595934e-16
5824 const testcase_hyperg<double>
5825 data124[19] =
5826 {
5827   { 0.68776713859043437, 2.0000000000000000, 2.0000000000000000,
5828           8.0000000000000000, -0.90000000000000002 },
5829   { 0.71280582849489893, 2.0000000000000000, 2.0000000000000000,
5830           8.0000000000000000, -0.80000000000000004 },
5831   { 0.73962983054724896, 2.0000000000000000, 2.0000000000000000,
5832           8.0000000000000000, -0.69999999999999996 },
5833   { 0.76844343025262063, 2.0000000000000000, 2.0000000000000000,
5834           8.0000000000000000, -0.59999999999999998 },
5835   { 0.79948476671182900, 2.0000000000000000, 2.0000000000000000,
5836           8.0000000000000000, -0.50000000000000000 },
5837   { 0.83303347721461263, 2.0000000000000000, 2.0000000000000000,
5838           8.0000000000000000, -0.40000000000000002 },
5839   { 0.86942060391338771, 2.0000000000000000, 2.0000000000000000,
5840           8.0000000000000000, -0.30000000000000004 },
5841   { 0.90904161711581655, 2.0000000000000000, 2.0000000000000000,
5842           8.0000000000000000, -0.19999999999999996 },
5843   { 0.95237381468647742, 2.0000000000000000, 2.0000000000000000,
5844           8.0000000000000000, -0.099999999999999978 },
5845   { 1.0000000000000000, 2.0000000000000000, 2.0000000000000000,
5846           8.0000000000000000, 0.0000000000000000 },
5847   { 1.0526413941912305, 2.0000000000000000, 2.0000000000000000,
5848           8.0000000000000000, 0.10000000000000009 },
5849   { 1.1112045278881502, 2.0000000000000000, 2.0000000000000000,
5850           8.0000000000000000, 0.19999999999999996 },
5851   { 1.1768500306393046, 2.0000000000000000, 2.0000000000000000,
5852           8.0000000000000000, 0.30000000000000004 },
5853   { 1.2510971588297888, 2.0000000000000000, 2.0000000000000000,
5854           8.0000000000000000, 0.39999999999999991 },
5855   { 1.3359896747789315, 2.0000000000000000, 2.0000000000000000,
5856           8.0000000000000000, 0.50000000000000000 },
5857   { 1.4343740183432725, 2.0000000000000000, 2.0000000000000000,
5858           8.0000000000000000, 0.60000000000000009 },
5859   { 1.5504011881337365, 2.0000000000000000, 2.0000000000000000,
5860           8.0000000000000000, 0.69999999999999996 },
5861   { 1.6905307012604318, 2.0000000000000000, 2.0000000000000000,
5862           8.0000000000000000, 0.80000000000000004 },
5863   { 1.8658920279264424, 2.0000000000000000, 2.0000000000000000,
5864           8.0000000000000000, 0.89999999999999991 },
5865 };
5866 const double toler124 = 2.5000000000000020e-13;
5867
5868 // Test data for a=2.0000000000000000, b=2.0000000000000000, c=10.000000000000000.
5869 // max(|f - f_GSL|): 4.4408920985006262e-16
5870 // max(|f - f_GSL| / |f_GSL|): 2.7923027351444343e-16
5871 const testcase_hyperg<double>
5872 data125[19] =
5873 {
5874   { 0.73530262886958797, 2.0000000000000000, 2.0000000000000000,
5875           10.000000000000000, -0.90000000000000002 },
5876   { 0.75768898977673649, 2.0000000000000000, 2.0000000000000000,
5877           10.000000000000000, -0.80000000000000004 },
5878   { 0.78143483544640080, 2.0000000000000000, 2.0000000000000000,
5879           10.000000000000000, -0.69999999999999996 },
5880   { 0.80667428603297209, 2.0000000000000000, 2.0000000000000000,
5881           10.000000000000000, -0.59999999999999998 },
5882   { 0.83356078772438313, 2.0000000000000000, 2.0000000000000000,
5883           10.000000000000000, -0.50000000000000000 },
5884   { 0.86227093001346189, 2.0000000000000000, 2.0000000000000000,
5885           10.000000000000000, -0.40000000000000002 },
5886   { 0.89300925500556971, 2.0000000000000000, 2.0000000000000000,
5887           10.000000000000000, -0.30000000000000004 },
5888   { 0.92601438873425990, 2.0000000000000000, 2.0000000000000000,
5889           10.000000000000000, -0.19999999999999996 },
5890   { 0.96156696230910810, 2.0000000000000000, 2.0000000000000000,
5891           10.000000000000000, -0.099999999999999978 },
5892   { 1.0000000000000000, 2.0000000000000000, 2.0000000000000000,
5893           10.000000000000000, 0.0000000000000000 },
5894   { 1.0417127776179342, 2.0000000000000000, 2.0000000000000000,
5895           10.000000000000000, 0.10000000000000009 },
5896   { 1.0871896789480930, 2.0000000000000000, 2.0000000000000000,
5897           10.000000000000000, 0.19999999999999996 },
5898   { 1.1370264514689949, 2.0000000000000000, 2.0000000000000000,
5899           10.000000000000000, 0.30000000000000004 },
5900   { 1.1919677804049154, 2.0000000000000000, 2.0000000000000000,
5901           10.000000000000000, 0.39999999999999991 },
5902   { 1.2529628761065934, 2.0000000000000000, 2.0000000000000000,
5903           10.000000000000000, 0.50000000000000000 },
5904   { 1.3212511796458866, 2.0000000000000000, 2.0000000000000000,
5905           10.000000000000000, 0.60000000000000009 },
5906   { 1.3985017309668506, 2.0000000000000000, 2.0000000000000000,
5907           10.000000000000000, 0.69999999999999996 },
5908   { 1.4870567523847895, 2.0000000000000000, 2.0000000000000000,
5909           10.000000000000000, 0.80000000000000004 },
5910   { 1.5904049523738040, 2.0000000000000000, 2.0000000000000000,
5911           10.000000000000000, 0.89999999999999991 },
5912 };
5913 const double toler125 = 2.5000000000000020e-13;
5914
5915 // Test data for a=2.0000000000000000, b=5.0000000000000000, c=2.0000000000000000.
5916 // max(|f - f_GSL|): 1.1641532182693481e-10
5917 // max(|f - f_GSL| / |f_GSL|): 1.4551915228366856e-15
5918 const testcase_hyperg<double>
5919 data126[19] =
5920 {
5921   { 0.040386107340619266, 2.0000000000000000, 5.0000000000000000,
5922           2.0000000000000000, -0.90000000000000002 },
5923   { 0.052922149401344633, 2.0000000000000000, 5.0000000000000000,
5924           2.0000000000000000, -0.80000000000000004 },
5925   { 0.070429627772374270, 2.0000000000000000, 5.0000000000000000,
5926           2.0000000000000000, -0.69999999999999996 },
5927   { 0.095367431640624972, 2.0000000000000000, 5.0000000000000000,
5928           2.0000000000000000, -0.59999999999999998 },
5929   { 0.13168724279835387, 2.0000000000000000, 5.0000000000000000,
5930           2.0000000000000000, -0.50000000000000000 },
5931   { 0.18593443208187066, 2.0000000000000000, 5.0000000000000000,
5932           2.0000000000000000, -0.40000000000000002 },
5933   { 0.26932907434290437, 2.0000000000000000, 5.0000000000000000,
5934           2.0000000000000000, -0.30000000000000004 },
5935   { 0.40187757201646096, 2.0000000000000000, 5.0000000000000000,
5936           2.0000000000000000, -0.19999999999999996 },
5937   { 0.62092132305915493, 2.0000000000000000, 5.0000000000000000,
5938           2.0000000000000000, -0.099999999999999978 },
5939   { 1.0000000000000000, 2.0000000000000000, 5.0000000000000000,
5940           2.0000000000000000, 0.0000000000000000 },
5941   { 1.6935087808430296, 2.0000000000000000, 5.0000000000000000,
5942           2.0000000000000000, 0.10000000000000009 },
5943   { 3.0517578124999991, 2.0000000000000000, 5.0000000000000000,
5944           2.0000000000000000, 0.19999999999999996 },
5945   { 5.9499018266198629, 2.0000000000000000, 5.0000000000000000,
5946           2.0000000000000000, 0.30000000000000004 },
5947   { 12.860082304526737, 2.0000000000000000, 5.0000000000000000,
5948           2.0000000000000000, 0.39999999999999991 },
5949   { 32.000000000000000, 2.0000000000000000, 5.0000000000000000,
5950           2.0000000000000000, 0.50000000000000000 },
5951   { 97.656250000000114, 2.0000000000000000, 5.0000000000000000,
5952           2.0000000000000000, 0.60000000000000009 },
5953   { 411.52263374485580, 2.0000000000000000, 5.0000000000000000,
5954           2.0000000000000000, 0.69999999999999996 },
5955   { 3124.9999999999991, 2.0000000000000000, 5.0000000000000000,
5956           2.0000000000000000, 0.80000000000000004 },
5957   { 99999.999999999665, 2.0000000000000000, 5.0000000000000000,
5958           2.0000000000000000, 0.89999999999999991 },
5959 };
5960 const double toler126 = 2.5000000000000020e-13;
5961
5962 // Test data for a=2.0000000000000000, b=5.0000000000000000, c=4.0000000000000000.
5963 // max(|f - f_GSL|): 6.8212102632969618e-13
5964 // max(|f - f_GSL| / |f_GSL|): 1.2402200478721823e-15
5965 const testcase_hyperg<double>
5966 data127[19] =
5967 {
5968   { 0.21140107887447138, 2.0000000000000000, 5.0000000000000000,
5969           4.0000000000000000, -0.90000000000000002 },
5970   { 0.24005486968449927, 2.0000000000000000, 5.0000000000000000,
5971           4.0000000000000000, -0.80000000000000004 },
5972   { 0.27478119275391810, 2.0000000000000000, 5.0000000000000000,
5973           4.0000000000000000, -0.69999999999999996 },
5974   { 0.31738281250000006, 2.0000000000000000, 5.0000000000000000,
5975           4.0000000000000000, -0.59999999999999998 },
5976   { 0.37037037037037024, 2.0000000000000000, 5.0000000000000000,
5977           4.0000000000000000, -0.50000000000000000 },
5978   { 0.43731778425655959, 2.0000000000000000, 5.0000000000000000,
5979           4.0000000000000000, -0.40000000000000002 },
5980   { 0.52344105598543467, 2.0000000000000000, 5.0000000000000000,
5981           4.0000000000000000, -0.30000000000000004 },
5982   { 0.63657407407407429, 2.0000000000000000, 5.0000000000000000,
5983           4.0000000000000000, -0.19999999999999996 },
5984   { 0.78888054094665638, 2.0000000000000000, 5.0000000000000000,
5985           4.0000000000000000, -0.099999999999999978 },
5986   { 1.0000000000000000, 2.0000000000000000, 5.0000000000000000,
5987           4.0000000000000000, 0.0000000000000000 },
5988   { 1.3031550068587108, 2.0000000000000000, 5.0000000000000000,
5989           4.0000000000000000, 0.10000000000000009 },
5990   { 1.7578125000000002, 2.0000000000000000, 5.0000000000000000,
5991           4.0000000000000000, 0.19999999999999996 },
5992   { 2.4781341107871717, 2.0000000000000000, 5.0000000000000000,
5993           4.0000000000000000, 0.30000000000000004 },
5994   { 3.7037037037037037, 2.0000000000000000, 5.0000000000000000,
5995           4.0000000000000000, 0.39999999999999991 },
5996   { 5.9999999999999982, 2.0000000000000000, 5.0000000000000000,
5997           4.0000000000000000, 0.50000000000000000 },
5998   { 10.937500000000005, 2.0000000000000000, 5.0000000000000000,
5999           4.0000000000000000, 0.60000000000000009 },
6000   { 24.074074074074076, 2.0000000000000000, 5.0000000000000000,
6001           4.0000000000000000, 0.69999999999999996 },
6002   { 74.999999999999957, 2.0000000000000000, 5.0000000000000000,
6003           4.0000000000000000, 0.80000000000000004 },
6004   { 549.99999999999670, 2.0000000000000000, 5.0000000000000000,
6005           4.0000000000000000, 0.89999999999999991 },
6006 };
6007 const double toler127 = 2.5000000000000020e-13;
6008
6009 // Test data for a=2.0000000000000000, b=5.0000000000000000, c=6.0000000000000000.
6010 // max(|f - f_GSL|): 4.9737991503207013e-14
6011 // max(|f - f_GSL| / |f_GSL|): 1.6580642616864663e-15
6012 const testcase_hyperg<double>
6013 data128[19] =
6014 {
6015   { 0.33250915203252129, 2.0000000000000000, 5.0000000000000000,
6016           6.0000000000000000, -0.90000000000000002 },
6017   { 0.36566851047721943, 2.0000000000000000, 5.0000000000000000,
6018           6.0000000000000000, -0.80000000000000004 },
6019   { 0.40414812182437959, 2.0000000000000000, 5.0000000000000000,
6020           6.0000000000000000, -0.69999999999999996 },
6021   { 0.44916943268118498, 2.0000000000000000, 5.0000000000000000,
6022           6.0000000000000000, -0.59999999999999998 },
6023   { 0.50233081077479547, 2.0000000000000000, 5.0000000000000000,
6024           6.0000000000000000, -0.50000000000000000 },
6025   { 0.56575808728873334, 2.0000000000000000, 5.0000000000000000,
6026           6.0000000000000000, -0.40000000000000002 },
6027   { 0.64233106844971433, 2.0000000000000000, 5.0000000000000000,
6028           6.0000000000000000, -0.30000000000000004 },
6029   { 0.73603371116919514, 2.0000000000000000, 5.0000000000000000,
6030           6.0000000000000000, -0.19999999999999996 },
6031   { 0.85251256240112439, 2.0000000000000000, 5.0000000000000000,
6032           6.0000000000000000, -0.099999999999999978 },
6033   { 1.0000000000000000, 2.0000000000000000, 5.0000000000000000,
6034           6.0000000000000000, 0.0000000000000000 },
6035   { 1.1909065696197674, 2.0000000000000000, 5.0000000000000000,
6036           6.0000000000000000, 0.10000000000000009 },
6037   { 1.4447095285569311, 2.0000000000000000, 5.0000000000000000,
6038           6.0000000000000000, 0.19999999999999996 },
6039   { 1.7935243137840653, 2.0000000000000000, 5.0000000000000000,
6040           6.0000000000000000, 0.30000000000000004 },
6041   { 2.2937035820494454, 2.0000000000000000, 5.0000000000000000,
6042           6.0000000000000000, 0.39999999999999991 },
6043   { 3.0524711083016687, 2.0000000000000000, 5.0000000000000000,
6044           6.0000000000000000, 0.50000000000000000 },
6045   { 4.2976512669354259, 2.0000000000000000, 5.0000000000000000,
6046           6.0000000000000000, 0.60000000000000009 },
6047   { 6.5977107563194677, 2.0000000000000000, 5.0000000000000000,
6048           6.0000000000000000, 0.69999999999999996 },
6049   { 11.793747206577530, 2.0000000000000000, 5.0000000000000000,
6050           6.0000000000000000, 0.80000000000000004 },
6051   { 29.997625937982058, 2.0000000000000000, 5.0000000000000000,
6052           6.0000000000000000, 0.89999999999999991 },
6053 };
6054 const double toler128 = 2.5000000000000020e-13;
6055
6056 // Test data for a=2.0000000000000000, b=5.0000000000000000, c=8.0000000000000000.
6057 // max(|f - f_GSL|): 1.1546319456101628e-14
6058 // max(|f - f_GSL| / |f_GSL|): 1.4852319937858947e-15
6059 const testcase_hyperg<double>
6060 data129[19] =
6061 {
6062   { 0.42108197362250294, 2.0000000000000000, 5.0000000000000000,
6063           8.0000000000000000, -0.90000000000000002 },
6064   { 0.45503172013983040, 2.0000000000000000, 5.0000000000000000,
6065           8.0000000000000000, -0.80000000000000004 },
6066   { 0.49345609813624314, 2.0000000000000000, 5.0000000000000000,
6067           8.0000000000000000, -0.69999999999999996 },
6068   { 0.53720880551221295, 2.0000000000000000, 5.0000000000000000,
6069           8.0000000000000000, -0.59999999999999998 },
6070   { 0.58736431524847466, 2.0000000000000000, 5.0000000000000000,
6071           8.0000000000000000, -0.50000000000000000 },
6072   { 0.64529222467897973, 2.0000000000000000, 5.0000000000000000,
6073           8.0000000000000000, -0.40000000000000002 },
6074   { 0.71276337354393937, 2.0000000000000000, 5.0000000000000000,
6075           8.0000000000000000, -0.30000000000000004 },
6076   { 0.79210466220795306, 2.0000000000000000, 5.0000000000000000,
6077           8.0000000000000000, -0.19999999999999996 },
6078   { 0.88643063455510596, 2.0000000000000000, 5.0000000000000000,
6079           8.0000000000000000, -0.099999999999999978 },
6080   { 1.0000000000000000, 2.0000000000000000, 5.0000000000000000,
6081           8.0000000000000000, 0.0000000000000000 },
6082   { 1.1387832139040652, 2.0000000000000000, 5.0000000000000000,
6083           8.0000000000000000, 0.10000000000000009 },
6084   { 1.3114025920844752, 2.0000000000000000, 5.0000000000000000,
6085           8.0000000000000000, 0.19999999999999996 },
6086   { 1.5307655016768162, 2.0000000000000000, 5.0000000000000000,
6087           8.0000000000000000, 0.30000000000000004 },
6088   { 1.8170727950333345, 2.0000000000000000, 5.0000000000000000,
6089           8.0000000000000000, 0.39999999999999991 },
6090   { 2.2037865486700836, 2.0000000000000000, 5.0000000000000000,
6091           8.0000000000000000, 0.50000000000000000 },
6092   { 2.7506766056439380, 2.0000000000000000, 5.0000000000000000,
6093           8.0000000000000000, 0.60000000000000009 },
6094   { 3.5764534935716972, 2.0000000000000000, 5.0000000000000000,
6095           8.0000000000000000, 0.69999999999999996 },
6096   { 4.9587762302155403, 2.0000000000000000, 5.0000000000000000,
6097           8.0000000000000000, 0.80000000000000004 },
6098   { 7.7740847924166800, 2.0000000000000000, 5.0000000000000000,
6099           8.0000000000000000, 0.89999999999999991 },
6100 };
6101 const double toler129 = 2.5000000000000020e-13;
6102
6103 // Test data for a=2.0000000000000000, b=5.0000000000000000, c=10.000000000000000.
6104 // max(|f - f_GSL|): 4.4408920985006262e-15
6105 // max(|f - f_GSL| / |f_GSL|): 1.0721199711322771e-15
6106 const testcase_hyperg<double>
6107 data130[19] =
6108 {
6109   { 0.48860241312958436, 2.0000000000000000, 5.0000000000000000,
6110           10.000000000000000, -0.90000000000000002 },
6111   { 0.52193382517068487, 2.0000000000000000, 5.0000000000000000,
6112           10.000000000000000, -0.80000000000000004 },
6113   { 0.55902375003954219, 2.0000000000000000, 5.0000000000000000,
6114           10.000000000000000, -0.69999999999999996 },
6115   { 0.60049055150230324, 2.0000000000000000, 5.0000000000000000,
6116           10.000000000000000, -0.59999999999999998 },
6117   { 0.64709127927203469, 2.0000000000000000, 5.0000000000000000,
6118           10.000000000000000, -0.50000000000000000 },
6119   { 0.69976233335368987, 2.0000000000000000, 5.0000000000000000,
6120           10.000000000000000, -0.40000000000000002 },
6121   { 0.75967529501080999, 2.0000000000000000, 5.0000000000000000,
6122           10.000000000000000, -0.30000000000000004 },
6123   { 0.82831498895254407, 2.0000000000000000, 5.0000000000000000,
6124           10.000000000000000, -0.19999999999999996 },
6125   { 0.90759090169653933, 2.0000000000000000, 5.0000000000000000,
6126           10.000000000000000, -0.099999999999999978 },
6127   { 1.0000000000000000, 2.0000000000000000, 5.0000000000000000,
6128           10.000000000000000, 0.0000000000000000 },
6129   { 1.1088712278667465, 2.0000000000000000, 5.0000000000000000,
6130           10.000000000000000, 0.10000000000000009 },
6131   { 1.2387445478440853, 2.0000000000000000, 5.0000000000000000,
6132           10.000000000000000, 0.19999999999999996 },
6133   { 1.3959812720437546, 2.0000000000000000, 5.0000000000000000,
6134           10.000000000000000, 0.30000000000000004 },
6135   { 1.5897930661091164, 2.0000000000000000, 5.0000000000000000,
6136           10.000000000000000, 0.39999999999999991 },
6137   { 1.8340789380307454, 2.0000000000000000, 5.0000000000000000,
6138           10.000000000000000, 0.50000000000000000 },
6139   { 2.1509548085970764, 2.0000000000000000, 5.0000000000000000,
6140           10.000000000000000, 0.60000000000000009 },
6141   { 2.5782406951207504, 2.0000000000000000, 5.0000000000000000,
6142           10.000000000000000, 0.69999999999999996 },
6143   { 3.1877847194242737, 2.0000000000000000, 5.0000000000000000,
6144           10.000000000000000, 0.80000000000000004 },
6145   { 4.1421596631676900, 2.0000000000000000, 5.0000000000000000,
6146           10.000000000000000, 0.89999999999999991 },
6147 };
6148 const double toler130 = 2.5000000000000020e-13;
6149
6150 // Test data for a=2.0000000000000000, b=10.000000000000000, c=2.0000000000000000.
6151 // max(|f - f_GSL|): 2.2888183593750000e-05
6152 // max(|f - f_GSL| / |f_GSL|): 2.8610229492187516e-15
6153 const testcase_hyperg<double>
6154 data131[19] =
6155 {
6156   { 0.0016310376661280216, 2.0000000000000000, 10.000000000000000,
6157           2.0000000000000000, -0.90000000000000002 },
6158   { 0.0028007538972582421, 2.0000000000000000, 10.000000000000000,
6159           2.0000000000000000, -0.80000000000000004 },
6160   { 0.0049603324681551939, 2.0000000000000000, 10.000000000000000,
6161           2.0000000000000000, -0.69999999999999996 },
6162   { 0.0090949470177292789, 2.0000000000000000, 10.000000000000000,
6163           2.0000000000000000, -0.59999999999999998 },
6164   { 0.017341529915832606, 2.0000000000000000, 10.000000000000000,
6165           2.0000000000000000, -0.50000000000000000 },
6166   { 0.034571613033607777, 2.0000000000000000, 10.000000000000000,
6167           2.0000000000000000, -0.40000000000000002 },
6168   { 0.072538150286405714, 2.0000000000000000, 10.000000000000000,
6169           2.0000000000000000, -0.30000000000000004 },
6170   { 0.16150558288984579, 2.0000000000000000, 10.000000000000000,
6171           2.0000000000000000, -0.19999999999999996 },
6172   { 0.38554328942953148, 2.0000000000000000, 10.000000000000000,
6173           2.0000000000000000, -0.099999999999999978 },
6174   { 1.0000000000000000, 2.0000000000000000, 10.000000000000000,
6175           2.0000000000000000, 0.0000000000000000 },
6176   { 2.8679719907924444, 2.0000000000000000, 10.000000000000000,
6177           2.0000000000000000, 0.10000000000000009 },
6178   { 9.3132257461547816, 2.0000000000000000, 10.000000000000000,
6179           2.0000000000000000, 0.19999999999999996 },
6180   { 35.401331746414378, 2.0000000000000000, 10.000000000000000,
6181           2.0000000000000000, 0.30000000000000004 },
6182   { 165.38171687920172, 2.0000000000000000, 10.000000000000000,
6183           2.0000000000000000, 0.39999999999999991 },
6184   { 1024.0000000000000, 2.0000000000000000, 10.000000000000000,
6185           2.0000000000000000, 0.50000000000000000 },
6186   { 9536.7431640625200, 2.0000000000000000, 10.000000000000000,
6187           2.0000000000000000, 0.60000000000000009 },
6188   { 169350.87808430271, 2.0000000000000000, 10.000000000000000,
6189           2.0000000000000000, 0.69999999999999996 },
6190   { 9765624.9999999944, 2.0000000000000000, 10.000000000000000,
6191           2.0000000000000000, 0.80000000000000004 },
6192   { 9999999999.9999332, 2.0000000000000000, 10.000000000000000,
6193           2.0000000000000000, 0.89999999999999991 },
6194 };
6195 const double toler131 = 2.5000000000000020e-13;
6196
6197 // Test data for a=2.0000000000000000, b=10.000000000000000, c=4.0000000000000000.
6198 // max(|f - f_GSL|): 1.4901161193847656e-08
6199 // max(|f - f_GSL| / |f_GSL|): 1.4958811384436855e-15
6200 const testcase_hyperg<double>
6201 data132[19] =
6202 {
6203   { 0.071191280690193537, 2.0000000000000000, 10.000000000000000,
6204           4.0000000000000000, -0.90000000000000002 },
6205   { 0.085646504654238384, 2.0000000000000000, 10.000000000000000,
6206           4.0000000000000000, -0.80000000000000004 },
6207   { 0.10478215656371109, 2.0000000000000000, 10.000000000000000,
6208           4.0000000000000000, -0.69999999999999996 },
6209   { 0.13074816337653578, 2.0000000000000000, 10.000000000000000,
6210           4.0000000000000000, -0.59999999999999998 },
6211   { 0.16701141666848118, 2.0000000000000000, 10.000000000000000,
6212           4.0000000000000000, -0.50000000000000000 },
6213   { 0.21939323375313968, 2.0000000000000000, 10.000000000000000,
6214           4.0000000000000000, -0.40000000000000002 },
6215   { 0.29813515331786616, 2.0000000000000000, 10.000000000000000,
6216           4.0000000000000000, -0.30000000000000004 },
6217   { 0.42225974638874397, 2.0000000000000000, 10.000000000000000,
6218           4.0000000000000000, -0.19999999999999996 },
6219   { 0.62942145962174878, 2.0000000000000000, 10.000000000000000,
6220           4.0000000000000000, -0.099999999999999978 },
6221   { 1.0000000000000000, 2.0000000000000000, 10.000000000000000,
6222           4.0000000000000000, 0.0000000000000000 },
6223   { 1.7218685262373197, 2.0000000000000000, 10.000000000000000,
6224           4.0000000000000000, 0.10000000000000009 },
6225   { 3.2855760483514689, 2.0000000000000000, 10.000000000000000,
6226           4.0000000000000000, 0.19999999999999996 },
6227   { 7.1616652508907093, 2.0000000000000000, 10.000000000000000,
6228           4.0000000000000000, 0.30000000000000004 },
6229   { 18.612326808485907, 2.0000000000000000, 10.000000000000000,
6230           4.0000000000000000, 0.39999999999999991 },
6231   { 61.476190476190474, 2.0000000000000000, 10.000000000000000,
6232           4.0000000000000000, 0.50000000000000000 },
6233   { 286.27580915178623, 2.0000000000000000, 10.000000000000000,
6234           4.0000000000000000, 0.60000000000000009 },
6235   { 2274.9441142102296, 2.0000000000000000, 10.000000000000000,
6236           4.0000000000000000, 0.69999999999999996 },
6237   { 47229.761904761865, 2.0000000000000000, 10.000000000000000,
6238           4.0000000000000000, 0.80000000000000004 },
6239   { 9961460.7142856438, 2.0000000000000000, 10.000000000000000,
6240           4.0000000000000000, 0.89999999999999991 },
6241 };
6242 const double toler132 = 2.5000000000000020e-13;
6243
6244 // Test data for a=2.0000000000000000, b=10.000000000000000, c=6.0000000000000000.
6245 // max(|f - f_GSL|): 8.7311491370201111e-11
6246 // max(|f - f_GSL| / |f_GSL|): 1.5843951771650368e-15
6247 const testcase_hyperg<double>
6248 data133[19] =
6249 {
6250   { 0.14747230019381058, 2.0000000000000000, 10.000000000000000,
6251           6.0000000000000000, -0.90000000000000002 },
6252   { 0.17073600100690609, 2.0000000000000000, 10.000000000000000,
6253           6.0000000000000000, -0.80000000000000004 },
6254   { 0.19982795745135354, 2.0000000000000000, 10.000000000000000,
6255           6.0000000000000000, -0.69999999999999996 },
6256   { 0.23681776864188053, 2.0000000000000000, 10.000000000000000,
6257           6.0000000000000000, -0.59999999999999998 },
6258   { 0.28475624360398011, 2.0000000000000000, 10.000000000000000,
6259           6.0000000000000000, -0.50000000000000000 },
6260   { 0.34827500743063133, 2.0000000000000000, 10.000000000000000,
6261           6.0000000000000000, -0.40000000000000002 },
6262   { 0.43464829159684687, 2.0000000000000000, 10.000000000000000,
6263           6.0000000000000000, -0.30000000000000004 },
6264   { 0.55576053438064787, 2.0000000000000000, 10.000000000000000,
6265           6.0000000000000000, -0.19999999999999996 },
6266   { 0.73195020913445530, 2.0000000000000000, 10.000000000000000,
6267           6.0000000000000000, -0.099999999999999978 },
6268   { 1.0000000000000000, 2.0000000000000000, 10.000000000000000,
6269           6.0000000000000000, 0.0000000000000000 },
6270   { 1.4310223867822929, 2.0000000000000000, 10.000000000000000,
6271           6.0000000000000000, 0.10000000000000009 },
6272   { 2.1742563399057540, 2.0000000000000000, 10.000000000000000,
6273           6.0000000000000000, 0.19999999999999996 },
6274   { 3.5769231236256043, 2.0000000000000000, 10.000000000000000,
6275           6.0000000000000000, 0.30000000000000004 },
6276   { 6.5620441134844363, 2.0000000000000000, 10.000000000000000,
6277           6.0000000000000000, 0.39999999999999991 },
6278   { 14.063492063492063, 2.0000000000000000, 10.000000000000000,
6279           6.0000000000000000, 0.50000000000000000 },
6280   { 38.085937500000036, 2.0000000000000000, 10.000000000000000,
6281           6.0000000000000000, 0.60000000000000009 },
6282   { 150.92973632068282, 2.0000000000000000, 10.000000000000000,
6283           6.0000000000000000, 0.69999999999999996 },
6284   { 1212.3015873015852, 2.0000000000000000, 10.000000000000000,
6285           6.0000000000000000, 0.80000000000000004 },
6286   { 55107.142857142389, 2.0000000000000000, 10.000000000000000,
6287           6.0000000000000000, 0.89999999999999991 },
6288 };
6289 const double toler133 = 2.5000000000000020e-13;
6290
6291 // Test data for a=2.0000000000000000, b=10.000000000000000, c=8.0000000000000000.
6292 // max(|f - f_GSL|): 1.8189894035458565e-12
6293 // max(|f - f_GSL| / |f_GSL|): 1.4848893090170350e-15
6294 const testcase_hyperg<double>
6295 data134[19] =
6296 {
6297   { 0.21658059714090577, 2.0000000000000000, 10.000000000000000,
6298           8.0000000000000000, -0.90000000000000002 },
6299   { 0.24513539602702861, 2.0000000000000000, 10.000000000000000,
6300           8.0000000000000000, -0.80000000000000004 },
6301   { 0.27967018274845046, 2.0000000000000000, 10.000000000000000,
6302           8.0000000000000000, -0.69999999999999996 },
6303   { 0.32196044921875022, 2.0000000000000000, 10.000000000000000,
6304           8.0000000000000000, -0.59999999999999998 },
6305   { 0.37448559670781911, 2.0000000000000000, 10.000000000000000,
6306           8.0000000000000000, -0.50000000000000000 },
6307   { 0.44078856032208824, 2.0000000000000000, 10.000000000000000,
6308           8.0000000000000000, -0.40000000000000002 },
6309   { 0.52606701446027793, 2.0000000000000000, 10.000000000000000,
6310           8.0000000000000000, -0.30000000000000004 },
6311   { 0.63818158436213956, 2.0000000000000000, 10.000000000000000,
6312           8.0000000000000000, -0.19999999999999996 },
6313   { 0.78944971882612769, 2.0000000000000000, 10.000000000000000,
6314           8.0000000000000000, -0.099999999999999978 },
6315   { 1.0000000000000000, 2.0000000000000000, 10.000000000000000,
6316           8.0000000000000000, 0.0000000000000000 },
6317   { 1.3044251384443430, 2.0000000000000000, 10.000000000000000,
6318           8.0000000000000000, 0.10000000000000009 },
6319   { 1.7659505208333335, 2.0000000000000000, 10.000000000000000,
6320           8.0000000000000000, 0.19999999999999996 },
6321   { 2.5093710953769270, 2.0000000000000000, 10.000000000000000,
6322           8.0000000000000000, 0.30000000000000004 },
6323   { 3.8065843621399158, 2.0000000000000000, 10.000000000000000,
6324           8.0000000000000000, 0.39999999999999991 },
6325   { 6.3333333333333313, 2.0000000000000000, 10.000000000000000,
6326           8.0000000000000000, 0.50000000000000000 },
6327   { 12.109375000000004, 2.0000000000000000, 10.000000000000000,
6328           8.0000000000000000, 0.60000000000000009 },
6329   { 29.115226337448540, 2.0000000000000000, 10.000000000000000,
6330           8.0000000000000000, 0.69999999999999996 },
6331   { 108.33333333333330, 2.0000000000000000, 10.000000000000000,
6332           8.0000000000000000, 0.80000000000000004 },
6333   { 1224.9999999999923, 2.0000000000000000, 10.000000000000000,
6334           8.0000000000000000, 0.89999999999999991 },
6335 };
6336 const double toler134 = 2.5000000000000020e-13;
6337
6338 // Test data for a=2.0000000000000000, b=10.000000000000000, c=10.000000000000000.
6339 // max(|f - f_GSL|): 4.2632564145606011e-14
6340 // max(|f - f_GSL| / |f_GSL|): 4.2632564145606064e-16
6341 const testcase_hyperg<double>
6342 data135[19] =
6343 {
6344   { 0.27700831024930750, 2.0000000000000000, 10.000000000000000,
6345           10.000000000000000, -0.90000000000000002 },
6346   { 0.30864197530864196, 2.0000000000000000, 10.000000000000000,
6347           10.000000000000000, -0.80000000000000004 },
6348   { 0.34602076124567477, 2.0000000000000000, 10.000000000000000,
6349           10.000000000000000, -0.69999999999999996 },
6350   { 0.39062499999999994, 2.0000000000000000, 10.000000000000000,
6351           10.000000000000000, -0.59999999999999998 },
6352   { 0.44444444444444442, 2.0000000000000000, 10.000000000000000,
6353           10.000000000000000, -0.50000000000000000 },
6354   { 0.51020408163265307, 2.0000000000000000, 10.000000000000000,
6355           10.000000000000000, -0.40000000000000002 },
6356   { 0.59171597633136097, 2.0000000000000000, 10.000000000000000,
6357           10.000000000000000, -0.30000000000000004 },
6358   { 0.69444444444444453, 2.0000000000000000, 10.000000000000000,
6359           10.000000000000000, -0.19999999999999996 },
6360   { 0.82644628099173545, 2.0000000000000000, 10.000000000000000,
6361           10.000000000000000, -0.099999999999999978 },
6362   { 1.0000000000000000, 2.0000000000000000, 10.000000000000000,
6363           10.000000000000000, 0.0000000000000000 },
6364   { 1.2345679012345681, 2.0000000000000000, 10.000000000000000,
6365           10.000000000000000, 0.10000000000000009 },
6366   { 1.5624999999999998, 2.0000000000000000, 10.000000000000000,
6367           10.000000000000000, 0.19999999999999996 },
6368   { 2.0408163265306127, 2.0000000000000000, 10.000000000000000,
6369           10.000000000000000, 0.30000000000000004 },
6370   { 2.7777777777777768, 2.0000000000000000, 10.000000000000000,
6371           10.000000000000000, 0.39999999999999991 },
6372   { 4.0000000000000000, 2.0000000000000000, 10.000000000000000,
6373           10.000000000000000, 0.50000000000000000 },
6374   { 6.2500000000000036, 2.0000000000000000, 10.000000000000000,
6375           10.000000000000000, 0.60000000000000009 },
6376   { 11.111111111111109, 2.0000000000000000, 10.000000000000000,
6377           10.000000000000000, 0.69999999999999996 },
6378   { 25.000000000000007, 2.0000000000000000, 10.000000000000000,
6379           10.000000000000000, 0.80000000000000004 },
6380   { 99.999999999999872, 2.0000000000000000, 10.000000000000000,
6381           10.000000000000000, 0.89999999999999991 },
6382 };
6383 const double toler135 = 2.5000000000000020e-13;
6384
6385 // Test data for a=2.0000000000000000, b=20.000000000000000, c=2.0000000000000000.
6386 // max(|f - f_GSL|): 425984.00000000000
6387 // max(|f - f_GSL| / |f_GSL|): 5.4067200000000052e-15
6388 const testcase_hyperg<double>
6389 data136[19] =
6390 {
6391   { 2.6602838683283435e-06, 2.0000000000000000, 20.000000000000000,
6392           2.0000000000000000, -0.90000000000000002 },
6393   { 7.8442223930072316e-06, 2.0000000000000000, 20.000000000000000,
6394           2.0000000000000000, -0.80000000000000004 },
6395   { 2.4604898194634598e-05, 2.0000000000000000, 20.000000000000000,
6396           2.0000000000000000, -0.69999999999999996 },
6397   { 8.2718061255302686e-05, 2.0000000000000000, 20.000000000000000,
6398           2.0000000000000000, -0.59999999999999998 },
6399   { 0.00030072865982171723, 2.0000000000000000, 20.000000000000000,
6400           2.0000000000000000, -0.50000000000000000 },
6401   { 0.0011951964277455193, 2.0000000000000000, 20.000000000000000,
6402           2.0000000000000000, -0.40000000000000002 },
6403   { 0.0052617832469731814, 2.0000000000000000, 20.000000000000000,
6404           2.0000000000000000, -0.30000000000000004 },
6405   { 0.026084053304588847, 2.0000000000000000, 20.000000000000000,
6406           2.0000000000000000, -0.19999999999999996 },
6407   { 0.14864362802414346, 2.0000000000000000, 20.000000000000000,
6408           2.0000000000000000, -0.099999999999999978 },
6409   { 1.0000000000000000, 2.0000000000000000, 20.000000000000000,
6410           2.0000000000000000, 0.0000000000000000 },
6411   { 8.2252633399699757, 2.0000000000000000, 20.000000000000000,
6412           2.0000000000000000, 0.10000000000000009 },
6413   { 86.736173798840269, 2.0000000000000000, 20.000000000000000,
6414           2.0000000000000000, 0.19999999999999996 },
6415   { 1253.2542894196865, 2.0000000000000000, 20.000000000000000,
6416           2.0000000000000000, 0.30000000000000004 },
6417   { 27351.112277912434, 2.0000000000000000, 20.000000000000000,
6418           2.0000000000000000, 0.39999999999999991 },
6419   { 1048576.0000000000, 2.0000000000000000, 20.000000000000000,
6420           2.0000000000000000, 0.50000000000000000 },
6421   { 90949470.177293226, 2.0000000000000000, 20.000000000000000,
6422           2.0000000000000000, 0.60000000000000009 },
6423   { 28679719907.924358, 2.0000000000000000, 20.000000000000000,
6424           2.0000000000000000, 0.69999999999999996 },
6425   { 95367431640624.906, 2.0000000000000000, 20.000000000000000,
6426           2.0000000000000000, 0.80000000000000004 },
6427   { 9.9999999999998657e+19, 2.0000000000000000, 20.000000000000000,
6428           2.0000000000000000, 0.89999999999999991 },
6429 };
6430 const double toler136 = 5.0000000000000039e-13;
6431
6432 // Test data for a=2.0000000000000000, b=20.000000000000000, c=4.0000000000000000.
6433 // max(|f - f_GSL|): 40.000000000000000
6434 // max(|f - f_GSL| / |f_GSL|): 1.8712609271523571e-15
6435 const testcase_hyperg<double>
6436 data137[19] =
6437 {
6438   { 0.018828092583720632, 2.0000000000000000, 20.000000000000000,
6439           4.0000000000000000, -0.90000000000000002 },
6440   { 0.023381944060455365, 2.0000000000000000, 20.000000000000000,
6441           4.0000000000000000, -0.80000000000000004 },
6442   { 0.029789623984280887, 2.0000000000000000, 20.000000000000000,
6443           4.0000000000000000, -0.69999999999999996 },
6444   { 0.039191021482500567, 2.0000000000000000, 20.000000000000000,
6445           4.0000000000000000, -0.59999999999999998 },
6446   { 0.053727813036721528, 2.0000000000000000, 20.000000000000000,
6447           4.0000000000000000, -0.50000000000000000 },
6448   { 0.077762010061669079, 2.0000000000000000, 20.000000000000000,
6449           4.0000000000000000, -0.40000000000000002 },
6450   { 0.12110505620123306, 2.0000000000000000, 20.000000000000000,
6451           4.0000000000000000, -0.30000000000000004 },
6452   { 0.20870149809080582, 2.0000000000000000, 20.000000000000000,
6453           4.0000000000000000, -0.19999999999999996 },
6454   { 0.41429234328785763, 2.0000000000000000, 20.000000000000000,
6455           4.0000000000000000, -0.099999999999999978 },
6456   { 1.0000000000000000, 2.0000000000000000, 20.000000000000000,
6457           4.0000000000000000, 0.0000000000000000 },
6458   { 3.1308087404153113, 2.0000000000000000, 20.000000000000000,
6459           4.0000000000000000, 0.10000000000000009 },
6460   { 13.586180626453050, 2.0000000000000000, 20.000000000000000,
6461           4.0000000000000000, 0.19999999999999996 },
6462   { 87.117304082784415, 2.0000000000000000, 20.000000000000000,
6463           4.0000000000000000, 0.30000000000000004 },
6464   { 889.26474381242826, 2.0000000000000000, 20.000000000000000,
6465           4.0000000000000000, 0.39999999999999991 },
6466   { 16231.913312693494, 2.0000000000000000, 20.000000000000000,
6467           4.0000000000000000, 0.50000000000000000 },
6468   { 653537.51168945129, 2.0000000000000000, 20.000000000000000,
6469           4.0000000000000000, 0.60000000000000009 },
6470   { 87756230.793848589, 2.0000000000000000, 20.000000000000000,
6471           4.0000000000000000, 0.69999999999999996 },
6472   { 101493977171.74945, 2.0000000000000000, 20.000000000000000,
6473           4.0000000000000000, 0.80000000000000004 },
6474   { 21375960679556916., 2.0000000000000000, 20.000000000000000,
6475           4.0000000000000000, 0.89999999999999991 },
6476 };
6477 const double toler137 = 2.5000000000000020e-13;
6478
6479 // Test data for a=2.0000000000000000, b=20.000000000000000, c=6.0000000000000000.
6480 // max(|f - f_GSL|): 0.031250000000000000
6481 // max(|f - f_GSL| / |f_GSL|): 1.6379336164122315e-15
6482 const testcase_hyperg<double>
6483 data138[19] =
6484 {
6485   { 0.049200410661854238, 2.0000000000000000, 20.000000000000000,
6486           6.0000000000000000, -0.90000000000000002 },
6487   { 0.059460876757152607, 2.0000000000000000, 20.000000000000000,
6488           6.0000000000000000, -0.80000000000000004 },
6489   { 0.073244762686653225, 2.0000000000000000, 20.000000000000000,
6490           6.0000000000000000, -0.69999999999999996 },
6491   { 0.092334626017932769, 2.0000000000000000, 20.000000000000000,
6492           6.0000000000000000, -0.59999999999999998 },
6493   { 0.11976760350696856, 2.0000000000000000, 20.000000000000000,
6494           6.0000000000000000, -0.50000000000000000 },
6495   { 0.16102414609169408, 2.0000000000000000, 20.000000000000000,
6496           6.0000000000000000, -0.40000000000000002 },
6497   { 0.22670456785796225, 2.0000000000000000, 20.000000000000000,
6498           6.0000000000000000, -0.30000000000000004 },
6499   { 0.33912903252727361, 2.0000000000000000, 20.000000000000000,
6500           6.0000000000000000, -0.19999999999999996 },
6501   { 0.55049794600858049, 2.0000000000000000, 20.000000000000000,
6502           6.0000000000000000, -0.099999999999999978 },
6503   { 1.0000000000000000, 2.0000000000000000, 20.000000000000000,
6504           6.0000000000000000, 0.0000000000000000 },
6505   { 2.1254722872032232, 2.0000000000000000, 20.000000000000000,
6506           6.0000000000000000, 0.10000000000000009 },
6507   { 5.6261213886736172, 2.0000000000000000, 20.000000000000000,
6508           6.0000000000000000, 0.19999999999999996 },
6509   { 20.137315891130996, 2.0000000000000000, 20.000000000000000,
6510           6.0000000000000000, 0.30000000000000004 },
6511   { 108.04381584643853, 2.0000000000000000, 20.000000000000000,
6512           6.0000000000000000, 0.39999999999999991 },
6513   { 992.41692466460245, 2.0000000000000000, 20.000000000000000,
6514           6.0000000000000000, 0.50000000000000000 },
6515   { 19055.363816004465, 2.0000000000000000, 20.000000000000000,
6516           6.0000000000000000, 0.60000000000000009 },
6517   { 1105471.9504312086, 2.0000000000000000, 20.000000000000000,
6518           6.0000000000000000, 0.69999999999999996 },
6519   { 448521363.90608919, 2.0000000000000000, 20.000000000000000,
6520           6.0000000000000000, 0.80000000000000004 },
6521   { 19078917293639.004, 2.0000000000000000, 20.000000000000000,
6522           6.0000000000000000, 0.89999999999999991 },
6523 };
6524 const double toler138 = 2.5000000000000020e-13;
6525
6526 // Test data for a=2.0000000000000000, b=20.000000000000000, c=8.0000000000000000.
6527 // max(|f - f_GSL|): 8.3923339843750000e-05
6528 // max(|f - f_GSL| / |f_GSL|): 1.8221514326727084e-15
6529 const testcase_hyperg<double>
6530 data139[19] =
6531 {
6532   { 0.083753547015334884, 2.0000000000000000, 20.000000000000000,
6533           8.0000000000000000, -0.90000000000000002 },
6534   { 0.099238444687035743, 2.0000000000000000, 20.000000000000000,
6535           8.0000000000000000, -0.80000000000000004 },
6536   { 0.11938294012867748, 2.0000000000000000, 20.000000000000000,
6537           8.0000000000000000, -0.69999999999999996 },
6538   { 0.14622683905023329, 2.0000000000000000, 20.000000000000000,
6539           8.0000000000000000, -0.59999999999999998 },
6540   { 0.18303556733713028, 2.0000000000000000, 20.000000000000000,
6541           8.0000000000000000, -0.50000000000000000 },
6542   { 0.23527764069382412, 2.0000000000000000, 20.000000000000000,
6543           8.0000000000000000, -0.40000000000000002 },
6544   { 0.31261681740827085, 2.0000000000000000, 20.000000000000000,
6545           8.0000000000000000, -0.30000000000000004 },
6546   { 0.43327581880538862, 2.0000000000000000, 20.000000000000000,
6547           8.0000000000000000, -0.19999999999999996 },
6548   { 0.63445840637296680, 2.0000000000000000, 20.000000000000000,
6549           8.0000000000000000, -0.099999999999999978 },
6550   { 1.0000000000000000, 2.0000000000000000, 20.000000000000000,
6551           8.0000000000000000, 0.0000000000000000 },
6552   { 1.7438842395813297, 2.0000000000000000, 20.000000000000000,
6553           8.0000000000000000, 0.10000000000000009 },
6554   { 3.5070840938209269, 2.0000000000000000, 20.000000000000000,
6555           8.0000000000000000, 0.19999999999999996 },
6556   { 8.6573372006089713, 2.0000000000000000, 20.000000000000000,
6557           8.0000000000000000, 0.30000000000000004 },
6558   { 28.779342118408906, 2.0000000000000000, 20.000000000000000,
6559           8.0000000000000000, 0.39999999999999991 },
6560   { 147.50178613955714, 2.0000000000000000, 20.000000000000000,
6561           8.0000000000000000, 0.50000000000000000 },
6562   { 1427.1686016136398, 2.0000000000000000, 20.000000000000000,
6563           8.0000000000000000, 0.60000000000000009 },
6564   { 36780.643714655642, 2.0000000000000000, 20.000000000000000,
6565           8.0000000000000000, 0.69999999999999996 },
6566   { 5313869.6058585485, 2.0000000000000000, 20.000000000000000,
6567           8.0000000000000000, 0.80000000000000004 },
6568   { 46057280607.381966, 2.0000000000000000, 20.000000000000000,
6569           8.0000000000000000, 0.89999999999999991 },
6570 };
6571 const double toler139 = 2.5000000000000020e-13;
6572
6573 // Test data for a=2.0000000000000000, b=20.000000000000000, c=10.000000000000000.
6574 // max(|f - f_GSL|): 5.0663948059082031e-07
6575 // max(|f - f_GSL| / |f_GSL|): 1.9925479281070174e-15
6576 const testcase_hyperg<double>
6577 data140[19] =
6578 {
6579   { 0.11920045035073676, 2.0000000000000000, 20.000000000000000,
6580           10.000000000000000, -0.90000000000000002 },
6581   { 0.13907946814302777, 2.0000000000000000, 20.000000000000000,
6582           10.000000000000000, -0.80000000000000004 },
6583   { 0.16431439792559696, 2.0000000000000000, 20.000000000000000,
6584           10.000000000000000, -0.69999999999999996 },
6585   { 0.19698796016986989, 2.0000000000000000, 20.000000000000000,
6586           10.000000000000000, -0.59999999999999998 },
6587   { 0.24028510928790547, 2.0000000000000000, 20.000000000000000,
6588           10.000000000000000, -0.50000000000000000 },
6589   { 0.29926031296483113, 2.0000000000000000, 20.000000000000000,
6590           10.000000000000000, -0.40000000000000002 },
6591   { 0.38229327814229153, 2.0000000000000000, 20.000000000000000,
6592           10.000000000000000, -0.30000000000000004 },
6593   { 0.50402047283093132, 2.0000000000000000, 20.000000000000000,
6594           10.000000000000000, -0.19999999999999996 },
6595   { 0.69167261179586526, 2.0000000000000000, 20.000000000000000,
6596           10.000000000000000, -0.099999999999999978 },
6597   { 1.0000000000000000, 2.0000000000000000, 20.000000000000000,
6598           10.000000000000000, 0.0000000000000000 },
6599   { 1.5503152253394308, 2.0000000000000000, 20.000000000000000,
6600           10.000000000000000, 0.10000000000000009 },
6601   { 2.6469548193635797, 2.0000000000000000, 20.000000000000000,
6602           10.000000000000000, 0.19999999999999996 },
6603   { 5.1882631330566813, 2.0000000000000000, 20.000000000000000,
6604           10.000000000000000, 0.30000000000000004 },
6605   { 12.476792759124516, 2.0000000000000000, 20.000000000000000,
6606           10.000000000000000, 0.39999999999999991 },
6607   { 41.026391565091259, 2.0000000000000000, 20.000000000000000,
6608           10.000000000000000, 0.50000000000000000 },
6609   { 220.92584715988204, 2.0000000000000000, 20.000000000000000,
6610           10.000000000000000, 0.60000000000000009 },
6611   { 2677.0834450236207, 2.0000000000000000, 20.000000000000000,
6612           10.000000000000000, 0.69999999999999996 },
6613   { 141774.31260689779, 2.0000000000000000, 20.000000000000000,
6614           10.000000000000000, 0.80000000000000004 },
6615   { 254267148.83196995, 2.0000000000000000, 20.000000000000000,
6616           10.000000000000000, 0.89999999999999991 },
6617 };
6618 const double toler140 = 2.5000000000000020e-13;
6619
6620 // Test data for a=5.0000000000000000, b=0.0000000000000000, c=2.0000000000000000.
6621 // max(|f - f_GSL|): 0.0000000000000000
6622 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
6623 const testcase_hyperg<double>
6624 data141[19] =
6625 {
6626   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6627           2.0000000000000000, -0.90000000000000002 },
6628   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6629           2.0000000000000000, -0.80000000000000004 },
6630   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6631           2.0000000000000000, -0.69999999999999996 },
6632   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6633           2.0000000000000000, -0.59999999999999998 },
6634   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6635           2.0000000000000000, -0.50000000000000000 },
6636   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6637           2.0000000000000000, -0.40000000000000002 },
6638   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6639           2.0000000000000000, -0.30000000000000004 },
6640   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6641           2.0000000000000000, -0.19999999999999996 },
6642   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6643           2.0000000000000000, -0.099999999999999978 },
6644   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6645           2.0000000000000000, 0.0000000000000000 },
6646   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6647           2.0000000000000000, 0.10000000000000009 },
6648   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6649           2.0000000000000000, 0.19999999999999996 },
6650   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6651           2.0000000000000000, 0.30000000000000004 },
6652   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6653           2.0000000000000000, 0.39999999999999991 },
6654   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6655           2.0000000000000000, 0.50000000000000000 },
6656   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6657           2.0000000000000000, 0.60000000000000009 },
6658   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6659           2.0000000000000000, 0.69999999999999996 },
6660   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6661           2.0000000000000000, 0.80000000000000004 },
6662   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6663           2.0000000000000000, 0.89999999999999991 },
6664 };
6665 const double toler141 = 2.5000000000000020e-13;
6666
6667 // Test data for a=5.0000000000000000, b=0.0000000000000000, c=4.0000000000000000.
6668 // max(|f - f_GSL|): 0.0000000000000000
6669 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
6670 const testcase_hyperg<double>
6671 data142[19] =
6672 {
6673   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6674           4.0000000000000000, -0.90000000000000002 },
6675   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6676           4.0000000000000000, -0.80000000000000004 },
6677   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6678           4.0000000000000000, -0.69999999999999996 },
6679   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6680           4.0000000000000000, -0.59999999999999998 },
6681   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6682           4.0000000000000000, -0.50000000000000000 },
6683   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6684           4.0000000000000000, -0.40000000000000002 },
6685   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6686           4.0000000000000000, -0.30000000000000004 },
6687   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6688           4.0000000000000000, -0.19999999999999996 },
6689   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6690           4.0000000000000000, -0.099999999999999978 },
6691   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6692           4.0000000000000000, 0.0000000000000000 },
6693   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6694           4.0000000000000000, 0.10000000000000009 },
6695   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6696           4.0000000000000000, 0.19999999999999996 },
6697   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6698           4.0000000000000000, 0.30000000000000004 },
6699   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6700           4.0000000000000000, 0.39999999999999991 },
6701   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6702           4.0000000000000000, 0.50000000000000000 },
6703   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6704           4.0000000000000000, 0.60000000000000009 },
6705   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6706           4.0000000000000000, 0.69999999999999996 },
6707   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6708           4.0000000000000000, 0.80000000000000004 },
6709   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6710           4.0000000000000000, 0.89999999999999991 },
6711 };
6712 const double toler142 = 2.5000000000000020e-13;
6713
6714 // Test data for a=5.0000000000000000, b=0.0000000000000000, c=6.0000000000000000.
6715 // max(|f - f_GSL|): 0.0000000000000000
6716 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
6717 const testcase_hyperg<double>
6718 data143[19] =
6719 {
6720   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6721           6.0000000000000000, -0.90000000000000002 },
6722   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6723           6.0000000000000000, -0.80000000000000004 },
6724   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6725           6.0000000000000000, -0.69999999999999996 },
6726   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6727           6.0000000000000000, -0.59999999999999998 },
6728   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6729           6.0000000000000000, -0.50000000000000000 },
6730   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6731           6.0000000000000000, -0.40000000000000002 },
6732   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6733           6.0000000000000000, -0.30000000000000004 },
6734   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6735           6.0000000000000000, -0.19999999999999996 },
6736   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6737           6.0000000000000000, -0.099999999999999978 },
6738   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6739           6.0000000000000000, 0.0000000000000000 },
6740   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6741           6.0000000000000000, 0.10000000000000009 },
6742   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6743           6.0000000000000000, 0.19999999999999996 },
6744   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6745           6.0000000000000000, 0.30000000000000004 },
6746   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6747           6.0000000000000000, 0.39999999999999991 },
6748   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6749           6.0000000000000000, 0.50000000000000000 },
6750   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6751           6.0000000000000000, 0.60000000000000009 },
6752   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6753           6.0000000000000000, 0.69999999999999996 },
6754   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6755           6.0000000000000000, 0.80000000000000004 },
6756   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6757           6.0000000000000000, 0.89999999999999991 },
6758 };
6759 const double toler143 = 2.5000000000000020e-13;
6760
6761 // Test data for a=5.0000000000000000, b=0.0000000000000000, c=8.0000000000000000.
6762 // max(|f - f_GSL|): 0.0000000000000000
6763 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
6764 const testcase_hyperg<double>
6765 data144[19] =
6766 {
6767   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6768           8.0000000000000000, -0.90000000000000002 },
6769   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6770           8.0000000000000000, -0.80000000000000004 },
6771   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6772           8.0000000000000000, -0.69999999999999996 },
6773   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6774           8.0000000000000000, -0.59999999999999998 },
6775   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6776           8.0000000000000000, -0.50000000000000000 },
6777   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6778           8.0000000000000000, -0.40000000000000002 },
6779   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6780           8.0000000000000000, -0.30000000000000004 },
6781   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6782           8.0000000000000000, -0.19999999999999996 },
6783   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6784           8.0000000000000000, -0.099999999999999978 },
6785   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6786           8.0000000000000000, 0.0000000000000000 },
6787   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6788           8.0000000000000000, 0.10000000000000009 },
6789   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6790           8.0000000000000000, 0.19999999999999996 },
6791   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6792           8.0000000000000000, 0.30000000000000004 },
6793   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6794           8.0000000000000000, 0.39999999999999991 },
6795   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6796           8.0000000000000000, 0.50000000000000000 },
6797   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6798           8.0000000000000000, 0.60000000000000009 },
6799   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6800           8.0000000000000000, 0.69999999999999996 },
6801   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6802           8.0000000000000000, 0.80000000000000004 },
6803   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6804           8.0000000000000000, 0.89999999999999991 },
6805 };
6806 const double toler144 = 2.5000000000000020e-13;
6807
6808 // Test data for a=5.0000000000000000, b=0.0000000000000000, c=10.000000000000000.
6809 // max(|f - f_GSL|): 0.0000000000000000
6810 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
6811 const testcase_hyperg<double>
6812 data145[19] =
6813 {
6814   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6815           10.000000000000000, -0.90000000000000002 },
6816   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6817           10.000000000000000, -0.80000000000000004 },
6818   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6819           10.000000000000000, -0.69999999999999996 },
6820   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6821           10.000000000000000, -0.59999999999999998 },
6822   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6823           10.000000000000000, -0.50000000000000000 },
6824   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6825           10.000000000000000, -0.40000000000000002 },
6826   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6827           10.000000000000000, -0.30000000000000004 },
6828   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6829           10.000000000000000, -0.19999999999999996 },
6830   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6831           10.000000000000000, -0.099999999999999978 },
6832   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6833           10.000000000000000, 0.0000000000000000 },
6834   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6835           10.000000000000000, 0.10000000000000009 },
6836   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6837           10.000000000000000, 0.19999999999999996 },
6838   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6839           10.000000000000000, 0.30000000000000004 },
6840   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6841           10.000000000000000, 0.39999999999999991 },
6842   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6843           10.000000000000000, 0.50000000000000000 },
6844   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6845           10.000000000000000, 0.60000000000000009 },
6846   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6847           10.000000000000000, 0.69999999999999996 },
6848   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6849           10.000000000000000, 0.80000000000000004 },
6850   { 1.0000000000000000, 5.0000000000000000, 0.0000000000000000,
6851           10.000000000000000, 0.89999999999999991 },
6852 };
6853 const double toler145 = 2.5000000000000020e-13;
6854
6855 // Test data for a=5.0000000000000000, b=0.50000000000000000, c=2.0000000000000000.
6856 // max(|f - f_GSL|): 4.5474735088646412e-13
6857 // max(|f - f_GSL| / |f_GSL|): 1.5124797514980704e-15
6858 const testcase_hyperg<double>
6859 data146[19] =
6860 {
6861   { 0.52275983209457544, 5.0000000000000000, 0.50000000000000000,
6862           2.0000000000000000, -0.90000000000000002 },
6863   { 0.54700336898143009, 5.0000000000000000, 0.50000000000000000,
6864           2.0000000000000000, -0.80000000000000004 },
6865   { 0.57468955512602038, 5.0000000000000000, 0.50000000000000000,
6866           2.0000000000000000, -0.69999999999999996 },
6867   { 0.60665490543315048, 5.0000000000000000, 0.50000000000000000,
6868           2.0000000000000000, -0.59999999999999998 },
6869   { 0.64403057859056190, 5.0000000000000000, 0.50000000000000000,
6870           2.0000000000000000, -0.50000000000000000 },
6871   { 0.68838183648623730, 5.0000000000000000, 0.50000000000000000,
6872           2.0000000000000000, -0.40000000000000002 },
6873   { 0.74193265039311129, 5.0000000000000000, 0.50000000000000000,
6874           2.0000000000000000, -0.30000000000000004 },
6875   { 0.80794095908995300, 5.0000000000000000, 0.50000000000000000,
6876           2.0000000000000000, -0.19999999999999996 },
6877   { 0.89135275749639320, 5.0000000000000000, 0.50000000000000000,
6878           2.0000000000000000, -0.099999999999999978 },
6879   { 1.0000000000000000, 5.0000000000000000, 0.50000000000000000,
6880           2.0000000000000000, 0.0000000000000000 },
6881   { 1.1469266219310688, 5.0000000000000000, 0.50000000000000000,
6882           2.0000000000000000, 0.10000000000000009 },
6883   { 1.3552340708357489, 5.0000000000000000, 0.50000000000000000,
6884           2.0000000000000000, 0.19999999999999996 },
6885   { 1.6690840478838305, 5.0000000000000000, 0.50000000000000000,
6886           2.0000000000000000, 0.30000000000000004 },
6887   { 2.1815415453174483, 5.0000000000000000, 0.50000000000000000,
6888           2.0000000000000000, 0.39999999999999991 },
6889   { 3.1156892546032235, 5.0000000000000000, 0.50000000000000000,
6890           2.0000000000000000, 0.50000000000000000 },
6891   { 5.1109077417760416, 5.0000000000000000, 0.50000000000000000,
6892           2.0000000000000000, 0.60000000000000009 },
6893   { 10.560352936466296, 5.0000000000000000, 0.50000000000000000,
6894           2.0000000000000000, 0.69999999999999996 },
6895   { 33.541019662496815, 5.0000000000000000, 0.50000000000000000,
6896           2.0000000000000000, 0.80000000000000004 },
6897   { 300.66343065819501, 5.0000000000000000, 0.50000000000000000,
6898           2.0000000000000000, 0.89999999999999991 },
6899 };
6900 const double toler146 = 2.5000000000000020e-13;
6901
6902 // Test data for a=5.0000000000000000, b=0.50000000000000000, c=4.0000000000000000.
6903 // max(|f - f_GSL|): 8.8817841970012523e-15
6904 // max(|f - f_GSL| / |f_GSL|): 1.3217255411112326e-15
6905 const testcase_hyperg<double>
6906 data147[19] =
6907 {
6908   { 0.68252041951139286, 5.0000000000000000, 0.50000000000000000,
6909           4.0000000000000000, -0.90000000000000002 },
6910   { 0.70394732624993395, 5.0000000000000000, 0.50000000000000000,
6911           4.0000000000000000, -0.80000000000000004 },
6912   { 0.72748884971552052, 5.0000000000000000, 0.50000000000000000,
6913           4.0000000000000000, -0.69999999999999996 },
6914   { 0.75351147371199667, 5.0000000000000000, 0.50000000000000000,
6915           4.0000000000000000, -0.59999999999999998 },
6916   { 0.78247589005573737, 5.0000000000000000, 0.50000000000000000,
6917           4.0000000000000000, -0.50000000000000000 },
6918   { 0.81497017420249807, 5.0000000000000000, 0.50000000000000000,
6919           4.0000000000000000, -0.40000000000000002 },
6920   { 0.85175826875009586, 5.0000000000000000, 0.50000000000000000,
6921           4.0000000000000000, -0.30000000000000004 },
6922   { 0.89385278481745867, 5.0000000000000000, 0.50000000000000000,
6923           4.0000000000000000, -0.19999999999999996 },
6924   { 0.94262778709507411, 5.0000000000000000, 0.50000000000000000,
6925           4.0000000000000000, -0.099999999999999978 },
6926   { 1.0000000000000000, 5.0000000000000000, 0.50000000000000000,
6927           4.0000000000000000, 0.0000000000000000 },
6928   { 1.0687327277420910, 5.0000000000000000, 0.50000000000000000,
6929           4.0000000000000000, 0.10000000000000009 },
6930   { 1.1529725508983291, 5.0000000000000000, 0.50000000000000000,
6931           4.0000000000000000, 0.19999999999999996 },
6932   { 1.2592587134058799, 5.0000000000000000, 0.50000000000000000,
6933           4.0000000000000000, 0.30000000000000004 },
6934   { 1.3985773194637892, 5.0000000000000000, 0.50000000000000000,
6935           4.0000000000000000, 0.39999999999999991 },
6936   { 1.5909902576697317, 5.0000000000000000, 0.50000000000000000,
6937           4.0000000000000000, 0.50000000000000000 },
6938   { 1.8776023607249752, 5.0000000000000000, 0.50000000000000000,
6939           4.0000000000000000, 0.60000000000000009 },
6940   { 2.3582499003694646, 5.0000000000000000, 0.50000000000000000,
6941           4.0000000000000000, 0.69999999999999996 },
6942   { 3.3541019662496838, 5.0000000000000000, 0.50000000000000000,
6943           4.0000000000000000, 0.80000000000000004 },
6944   { 6.7198400278577859, 5.0000000000000000, 0.50000000000000000,
6945           4.0000000000000000, 0.89999999999999991 },
6946 };
6947 const double toler147 = 2.5000000000000020e-13;
6948
6949 // Test data for a=5.0000000000000000, b=0.50000000000000000, c=6.0000000000000000.
6950 // max(|f - f_GSL|): 2.6645352591003757e-15
6951 // max(|f - f_GSL| / |f_GSL|): 1.2228264607471081e-15
6952 const testcase_hyperg<double>
6953 data148[19] =
6954 {
6955   { 0.75755211927082600, 5.0000000000000000, 0.50000000000000000,
6956           6.0000000000000000, -0.90000000000000002 },
6957   { 0.77603550233010965, 5.0000000000000000, 0.50000000000000000,
6958           6.0000000000000000, -0.80000000000000004 },
6959   { 0.79596241913438504, 5.0000000000000000, 0.50000000000000000,
6960           6.0000000000000000, -0.69999999999999996 },
6961   { 0.81753360792105212, 5.0000000000000000, 0.50000000000000000,
6962           6.0000000000000000, -0.59999999999999998 },
6963   { 0.84099165409805532, 5.0000000000000000, 0.50000000000000000,
6964           6.0000000000000000, -0.50000000000000000 },
6965   { 0.86663303852180895, 5.0000000000000000, 0.50000000000000000,
6966           6.0000000000000000, -0.40000000000000002 },
6967   { 0.89482475828629970, 5.0000000000000000, 0.50000000000000000,
6968           6.0000000000000000, -0.30000000000000004 },
6969   { 0.92602774279590350, 5.0000000000000000, 0.50000000000000000,
6970           6.0000000000000000, -0.19999999999999996 },
6971   { 0.96083064727087386, 5.0000000000000000, 0.50000000000000000,
6972           6.0000000000000000, -0.099999999999999978 },
6973   { 1.0000000000000000, 5.0000000000000000, 0.50000000000000000,
6974           6.0000000000000000, 0.0000000000000000 },
6975   { 1.0445570841313008, 5.0000000000000000, 0.50000000000000000,
6976           6.0000000000000000, 0.10000000000000009 },
6977   { 1.0959004638926031, 5.0000000000000000, 0.50000000000000000,
6978           6.0000000000000000, 0.19999999999999996 },
6979   { 1.1560106261370562, 5.0000000000000000, 0.50000000000000000,
6980           6.0000000000000000, 0.30000000000000004 },
6981   { 1.2278121770678145, 5.0000000000000000, 0.50000000000000000,
6982           6.0000000000000000, 0.39999999999999991 },
6983   { 1.3158640214709998, 5.0000000000000000, 0.50000000000000000,
6984           6.0000000000000000, 0.50000000000000000 },
6985   { 1.4278095344155000, 5.0000000000000000, 0.50000000000000000,
6986           6.0000000000000000, 0.60000000000000009 },
6987   { 1.5778700502946612, 5.0000000000000000, 0.50000000000000000,
6988           6.0000000000000000, 0.69999999999999996 },
6989   { 1.7972173289196469, 5.0000000000000000, 0.50000000000000000,
6990           6.0000000000000000, 0.80000000000000004 },
6991   { 2.1789970569269732, 5.0000000000000000, 0.50000000000000000,
6992           6.0000000000000000, 0.89999999999999991 },
6993 };
6994 const double toler148 = 2.5000000000000020e-13;
6995
6996 // Test data for a=5.0000000000000000, b=0.50000000000000000, c=8.0000000000000000.
6997 // max(|f - f_GSL|): 6.6613381477509392e-16
6998 // max(|f - f_GSL| / |f_GSL|): 4.2082370290419495e-16
6999 const testcase_hyperg<double>
7000 data149[19] =
7001 {
7002   { 0.80270093579329460, 5.0000000000000000, 0.50000000000000000,
7003           8.0000000000000000, -0.90000000000000002 },
7004   { 0.81884974572462765, 5.0000000000000000, 0.50000000000000000,
7005           8.0000000000000000, -0.80000000000000004 },
7006   { 0.83605266330015260, 5.0000000000000000, 0.50000000000000000,
7007           8.0000000000000000, -0.69999999999999996 },
7008   { 0.85443340762796027, 5.0000000000000000, 0.50000000000000000,
7009           8.0000000000000000, -0.59999999999999998 },
7010   { 0.87413762182790711, 5.0000000000000000, 0.50000000000000000,
7011           8.0000000000000000, -0.50000000000000000 },
7012   { 0.89533826626907287, 5.0000000000000000, 0.50000000000000000,
7013           8.0000000000000000, -0.40000000000000002 },
7014   { 0.91824276674115290, 5.0000000000000000, 0.50000000000000000,
7015           8.0000000000000000, -0.30000000000000004 },
7016   { 0.94310265050720576, 5.0000000000000000, 0.50000000000000000,
7017           8.0000000000000000, -0.19999999999999996 },
7018   { 0.97022678857609712, 5.0000000000000000, 0.50000000000000000,
7019           8.0000000000000000, -0.099999999999999978 },
7020   { 1.0000000000000000, 5.0000000000000000, 0.50000000000000000,
7021           8.0000000000000000, 0.0000000000000000 },
7022   { 1.0329098673199812, 5.0000000000000000, 0.50000000000000000,
7023           8.0000000000000000, 0.10000000000000009 },
7024   { 1.0695865684573389, 5.0000000000000000, 0.50000000000000000,
7025           8.0000000000000000, 0.19999999999999996 },
7026   { 1.1108642103944570, 5.0000000000000000, 0.50000000000000000,
7027           8.0000000000000000, 0.30000000000000004 },
7028   { 1.1578795055970506, 5.0000000000000000, 0.50000000000000000,
7029           8.0000000000000000, 0.39999999999999991 },
7030   { 1.2122394794169442, 5.0000000000000000, 0.50000000000000000,
7031           8.0000000000000000, 0.50000000000000000 },
7032   { 1.2763274721556934, 5.0000000000000000, 0.50000000000000000,
7033           8.0000000000000000, 0.60000000000000009 },
7034   { 1.3539179650251021, 5.0000000000000000, 0.50000000000000000,
7035           8.0000000000000000, 0.69999999999999996 },
7036   { 1.4515986118197148, 5.0000000000000000, 0.50000000000000000,
7037           8.0000000000000000, 0.80000000000000004 },
7038   { 1.5829284571614219, 5.0000000000000000, 0.50000000000000000,
7039           8.0000000000000000, 0.89999999999999991 },
7040 };
7041 const double toler149 = 2.5000000000000020e-13;
7042
7043 // Test data for a=5.0000000000000000, b=0.50000000000000000, c=10.000000000000000.
7044 // max(|f - f_GSL|): 2.2204460492503131e-16
7045 // max(|f - f_GSL| / |f_GSL|): 2.2751041935095266e-16
7046 const testcase_hyperg<double>
7047 data150[19] =
7048 {
7049   { 0.83322694172301981, 5.0000000000000000, 0.50000000000000000,
7050           10.000000000000000, -0.90000000000000002 },
7051   { 0.84753931604765675, 5.0000000000000000, 0.50000000000000000,
7052           10.000000000000000, -0.80000000000000004 },
7053   { 0.86265784532195022, 5.0000000000000000, 0.50000000000000000,
7054           10.000000000000000, -0.69999999999999996 },
7055   { 0.87866479300707090, 5.0000000000000000, 0.50000000000000000,
7056           10.000000000000000, -0.59999999999999998 },
7057   { 0.89565516540263501, 5.0000000000000000, 0.50000000000000000,
7058           10.000000000000000, -0.50000000000000000 },
7059   { 0.91373946207610512, 5.0000000000000000, 0.50000000000000000,
7060           10.000000000000000, -0.40000000000000002 },
7061   { 0.93304721345881891, 5.0000000000000000, 0.50000000000000000,
7062           10.000000000000000, -0.30000000000000004 },
7063   { 0.95373159512905148, 5.0000000000000000, 0.50000000000000000,
7064           10.000000000000000, -0.19999999999999996 },
7065   { 0.97597554238828121, 5.0000000000000000, 0.50000000000000000,
7066           10.000000000000000, -0.099999999999999978 },
7067   { 1.0000000000000000, 5.0000000000000000, 0.50000000000000000,
7068           10.000000000000000, 0.0000000000000000 },
7069   { 1.0260752851887982, 5.0000000000000000, 0.50000000000000000,
7070           10.000000000000000, 0.10000000000000009 },
7071   { 1.0545371197996178, 5.0000000000000000, 0.50000000000000000,
7072           10.000000000000000, 0.19999999999999996 },
7073   { 1.0858099017045830, 5.0000000000000000, 0.50000000000000000,
7074           10.000000000000000, 0.30000000000000004 },
7075   { 1.1204416568688709, 5.0000000000000000, 0.50000000000000000,
7076           10.000000000000000, 0.39999999999999991 },
7077   { 1.1591587835964847, 5.0000000000000000, 0.50000000000000000,
7078           10.000000000000000, 0.50000000000000000 },
7079   { 1.2029564720303347, 5.0000000000000000, 0.50000000000000000,
7080           10.000000000000000, 0.60000000000000009 },
7081   { 1.2532588722007874, 5.0000000000000000, 0.50000000000000000,
7082           10.000000000000000, 0.69999999999999996 },
7083   { 1.3122319926925459, 5.0000000000000000, 0.50000000000000000,
7084           10.000000000000000, 0.80000000000000004 },
7085   { 1.3834948587364100, 5.0000000000000000, 0.50000000000000000,
7086           10.000000000000000, 0.89999999999999991 },
7087 };
7088 const double toler150 = 2.5000000000000020e-13;
7089
7090 // Test data for a=5.0000000000000000, b=1.0000000000000000, c=2.0000000000000000.
7091 // max(|f - f_GSL|): 4.0927261579781771e-12
7092 // max(|f - f_GSL| / |f_GSL|): 1.4735287697491276e-15
7093 const testcase_hyperg<double>
7094 data151[19] =
7095 {
7096   { 0.25646288779245086, 5.0000000000000000, 1.0000000000000000,
7097           2.0000000000000000, -0.90000000000000002 },
7098   { 0.28273129096174376, 5.0000000000000000, 1.0000000000000000,
7099           2.0000000000000000, -0.80000000000000004 },
7100   { 0.31438201170962982, 5.0000000000000000, 1.0000000000000000,
7101           2.0000000000000000, -0.69999999999999996 },
7102   { 0.35308837890625017, 5.0000000000000000, 1.0000000000000000,
7103           2.0000000000000000, -0.59999999999999998 },
7104   { 0.40123456790123452, 5.0000000000000000, 1.0000000000000000,
7105           2.0000000000000000, -0.50000000000000000 },
7106   { 0.46230737192836308, 5.0000000000000000, 1.0000000000000000,
7107           2.0000000000000000, -0.40000000000000002 },
7108   { 0.54156016946185348, 5.0000000000000000, 1.0000000000000000,
7109           2.0000000000000000, -0.30000000000000004 },
7110   { 0.64718364197530875, 5.0000000000000000, 1.0000000000000000,
7111           2.0000000000000000, -0.19999999999999996 },
7112   { 0.79246636158732342, 5.0000000000000000, 1.0000000000000000,
7113           2.0000000000000000, -0.099999999999999978 },
7114   { 1.0000000000000000, 5.0000000000000000, 1.0000000000000000,
7115           2.0000000000000000, 0.0000000000000000 },
7116   { 1.3103947568968148, 5.0000000000000000, 1.0000000000000000,
7117           2.0000000000000000, 0.10000000000000009 },
7118   { 1.8017578125000004, 5.0000000000000000, 1.0000000000000000,
7119           2.0000000000000000, 0.19999999999999996 },
7120   { 2.6374427321949185, 5.0000000000000000, 1.0000000000000000,
7121           2.0000000000000000, 0.30000000000000004 },
7122   { 4.1975308641975282, 5.0000000000000000, 1.0000000000000000,
7123           2.0000000000000000, 0.39999999999999991 },
7124   { 7.4999999999999964, 5.0000000000000000, 1.0000000000000000,
7125           2.0000000000000000, 0.50000000000000000 },
7126   { 15.859375000000012, 5.0000000000000000, 1.0000000000000000,
7127           2.0000000000000000, 0.60000000000000009 },
7128   { 43.734567901234513, 5.0000000000000000, 1.0000000000000000,
7129           2.0000000000000000, 0.69999999999999996 },
7130   { 194.99999999999994, 5.0000000000000000, 1.0000000000000000,
7131           2.0000000000000000, 0.80000000000000004 },
7132   { 2777.4999999999832, 5.0000000000000000, 1.0000000000000000,
7133           2.0000000000000000, 0.89999999999999991 },
7134 };
7135 const double toler151 = 2.5000000000000020e-13;
7136
7137 // Test data for a=5.0000000000000000, b=1.0000000000000000, c=4.0000000000000000.
7138 // max(|f - f_GSL|): 4.2632564145606011e-14
7139 // max(|f - f_GSL| / |f_GSL|): 1.3117712044801915e-15
7140 const testcase_hyperg<double>
7141 data152[19] =
7142 {
7143   { 0.46398891966759009, 5.0000000000000000, 1.0000000000000000,
7144           4.0000000000000000, -0.90000000000000002 },
7145   { 0.49382716049382724, 5.0000000000000000, 1.0000000000000000,
7146           4.0000000000000000, -0.80000000000000004 },
7147   { 0.52768166089965407, 5.0000000000000000, 1.0000000000000000,
7148           4.0000000000000000, -0.69999999999999996 },
7149   { 0.56640625000000000, 5.0000000000000000, 1.0000000000000000,
7150           4.0000000000000000, -0.59999999999999998 },
7151   { 0.61111111111111094, 5.0000000000000000, 1.0000000000000000,
7152           4.0000000000000000, -0.50000000000000000 },
7153   { 0.66326530612244905, 5.0000000000000000, 1.0000000000000000,
7154           4.0000000000000000, -0.40000000000000002 },
7155   { 0.72485207100591698, 5.0000000000000000, 1.0000000000000000,
7156           4.0000000000000000, -0.30000000000000004 },
7157   { 0.79861111111111094, 5.0000000000000000, 1.0000000000000000,
7158           4.0000000000000000, -0.19999999999999996 },
7159   { 0.88842975206611552, 5.0000000000000000, 1.0000000000000000,
7160           4.0000000000000000, -0.099999999999999978 },
7161   { 1.0000000000000000, 5.0000000000000000, 1.0000000000000000,
7162           4.0000000000000000, 0.0000000000000000 },
7163   { 1.1419753086419753, 5.0000000000000000, 1.0000000000000000,
7164           4.0000000000000000, 0.10000000000000009 },
7165   { 1.3281249999999998, 5.0000000000000000, 1.0000000000000000,
7166           4.0000000000000000, 0.19999999999999996 },
7167   { 1.5816326530612239, 5.0000000000000000, 1.0000000000000000,
7168           4.0000000000000000, 0.30000000000000004 },
7169   { 1.9444444444444444, 5.0000000000000000, 1.0000000000000000,
7170           4.0000000000000000, 0.39999999999999991 },
7171   { 2.5000000000000000, 5.0000000000000000, 1.0000000000000000,
7172           4.0000000000000000, 0.50000000000000000 },
7173   { 3.4374999999999996, 5.0000000000000000, 1.0000000000000000,
7174           4.0000000000000000, 0.60000000000000009 },
7175   { 5.2777777777777715, 5.0000000000000000, 1.0000000000000000,
7176           4.0000000000000000, 0.69999999999999996 },
7177   { 9.9999999999999947, 5.0000000000000000, 1.0000000000000000,
7178           4.0000000000000000, 0.80000000000000004 },
7179   { 32.499999999999837, 5.0000000000000000, 1.0000000000000000,
7180           4.0000000000000000, 0.89999999999999991 },
7181 };
7182 const double toler152 = 2.5000000000000020e-13;
7183
7184 // Test data for a=5.0000000000000000, b=1.0000000000000000, c=6.0000000000000000.
7185 // max(|f - f_GSL|): 6.2172489379008766e-15
7186 // max(|f - f_GSL| / |f_GSL|): 1.2433022037532461e-15
7187 const testcase_hyperg<double>
7188 data153[19] =
7189 {
7190   { 0.57476744883397490, 5.0000000000000000, 1.0000000000000000,
7191           6.0000000000000000, -0.90000000000000002 },
7192   { 0.60302731682513966, 5.0000000000000000, 1.0000000000000000,
7193           6.0000000000000000, -0.80000000000000004 },
7194   { 0.63425708719096374, 5.0000000000000000, 1.0000000000000000,
7195           6.0000000000000000, -0.69999999999999996 },
7196   { 0.66895764182970430, 5.0000000000000000, 1.0000000000000000,
7197           6.0000000000000000, -0.59999999999999998 },
7198   { 0.70775063063963473, 5.0000000000000000, 1.0000000000000000,
7199           6.0000000000000000, -0.50000000000000000 },
7200   { 0.75141762103495924, 5.0000000000000000, 1.0000000000000000,
7201           6.0000000000000000, -0.40000000000000002 },
7202   { 0.80095569442603298, 5.0000000000000000, 1.0000000000000000,
7203           6.0000000000000000, -0.30000000000000004 },
7204   { 0.85765823887436754, 5.0000000000000000, 1.0000000000000000,
7205           6.0000000000000000, -0.19999999999999996 },
7206   { 0.92323549576335540, 5.0000000000000000, 1.0000000000000000,
7207           6.0000000000000000, -0.099999999999999978 },
7208   { 1.0000000000000000, 5.0000000000000000, 1.0000000000000000,
7209           6.0000000000000000, 0.0000000000000000 },
7210   { 1.0911622464839472, 5.0000000000000000, 1.0000000000000000,
7211           6.0000000000000000, 0.10000000000000009 },
7212   { 1.2013226178607666, 5.0000000000000000, 1.0000000000000000,
7213           6.0000000000000000, 0.19999999999999996 },
7214   { 1.3373332072682687, 5.0000000000000000, 1.0000000000000000,
7215           6.0000000000000000, 0.30000000000000004 },
7216   { 1.5099074378209716, 5.0000000000000000, 1.0000000000000000,
7217           6.0000000000000000, 0.39999999999999991 },
7218   { 1.7368822229245819, 5.0000000000000000, 1.0000000000000000,
7219           6.0000000000000000, 0.50000000000000000 },
7220   { 2.0505871832661429, 5.0000000000000000, 1.0000000000000000,
7221           6.0000000000000000, 0.60000000000000009 },
7222   { 2.5172389775867967, 5.0000000000000000, 1.0000000000000000,
7223           6.0000000000000000, 0.69999999999999996 },
7224   { 3.3015631983556144, 5.0000000000000000, 1.0000000000000000,
7225           6.0000000000000000, 0.80000000000000004 },
7226   { 5.0005935155044519, 5.0000000000000000, 1.0000000000000000,
7227           6.0000000000000000, 0.89999999999999991 },
7228 };
7229 const double toler153 = 2.5000000000000020e-13;
7230
7231 // Test data for a=5.0000000000000000, b=1.0000000000000000, c=8.0000000000000000.
7232 // max(|f - f_GSL|): 3.1086244689504383e-15
7233 // max(|f - f_GSL| / |f_GSL|): 1.1989697058841889e-15
7234 const testcase_hyperg<double>
7235 data154[19] =
7236 {
7237   { 0.64582752605387983, 5.0000000000000000, 1.0000000000000000,
7238           8.0000000000000000, -0.90000000000000002 },
7239   { 0.67184161997264191, 5.0000000000000000, 1.0000000000000000,
7240           8.0000000000000000, -0.80000000000000004 },
7241   { 0.70012779922368040, 5.0000000000000000, 1.0000000000000000,
7242           8.0000000000000000, -0.69999999999999996 },
7243   { 0.73100784656910278, 5.0000000000000000, 1.0000000000000000,
7244           8.0000000000000000, -0.59999999999999998 },
7245   { 0.76486919089091066, 5.0000000000000000, 1.0000000000000000,
7246           8.0000000000000000, -0.50000000000000000 },
7247   { 0.80218301124334557, 5.0000000000000000, 1.0000000000000000,
7248           8.0000000000000000, -0.40000000000000002 },
7249   { 0.84352883533234413, 5.0000000000000000, 1.0000000000000000,
7250           8.0000000000000000, -0.30000000000000004 },
7251   { 0.88962858902212572, 5.0000000000000000, 1.0000000000000000,
7252           8.0000000000000000, -0.19999999999999996 },
7253   { 0.94139473468584123, 5.0000000000000000, 1.0000000000000000,
7254           8.0000000000000000, -0.099999999999999978 },
7255   { 1.0000000000000000, 5.0000000000000000, 1.0000000000000000,
7256           8.0000000000000000, 0.0000000000000000 },
7257   { 1.0669812691939897, 5.0000000000000000, 1.0000000000000000,
7258           8.0000000000000000, 0.10000000000000009 },
7259   { 1.1443996012177726, 5.0000000000000000, 1.0000000000000000,
7260           8.0000000000000000, 0.19999999999999996 },
7261   { 1.2350966976721314, 5.0000000000000000, 1.0000000000000000,
7262           8.0000000000000000, 0.30000000000000004 },
7263   { 1.3431264370409088, 5.0000000000000000, 1.0000000000000000,
7264           8.0000000000000000, 0.39999999999999991 },
7265   { 1.4745266814162399, 5.0000000000000000, 1.0000000000000000,
7266           8.0000000000000000, 0.50000000000000000 },
7267   { 1.6388137104840066, 5.0000000000000000, 1.0000000000000000,
7268           8.0000000000000000, 0.60000000000000009 },
7269   { 1.8522074849776518, 5.0000000000000000, 1.0000000000000000,
7270           8.0000000000000000, 0.69999999999999996 },
7271   { 2.1458016978417458, 5.0000000000000000, 1.0000000000000000,
7272           8.0000000000000000, 0.80000000000000004 },
7273   { 2.5927464669826339, 5.0000000000000000, 1.0000000000000000,
7274           8.0000000000000000, 0.89999999999999991 },
7275 };
7276 const double toler154 = 2.5000000000000020e-13;
7277
7278 // Test data for a=5.0000000000000000, b=1.0000000000000000, c=10.000000000000000.
7279 // max(|f - f_GSL|): 1.1102230246251565e-15
7280 // max(|f - f_GSL| / |f_GSL|): 5.6896158687269898e-16
7281 const testcase_hyperg<double>
7282 data155[19] =
7283 {
7284   { 0.69583236336670584, 5.0000000000000000, 1.0000000000000000,
7285           10.000000000000000, -0.90000000000000002 },
7286   { 0.71968920666899716, 5.0000000000000000, 1.0000000000000000,
7287           10.000000000000000, -0.80000000000000004 },
7288   { 0.74533885416044232, 5.0000000000000000, 1.0000000000000000,
7289           10.000000000000000, -0.69999999999999996 },
7290   { 0.77300145361503070, 5.0000000000000000, 1.0000000000000000,
7291           10.000000000000000, -0.59999999999999998 },
7292   { 0.80293630810919447, 5.0000000000000000, 1.0000000000000000,
7293           10.000000000000000, -0.50000000000000000 },
7294   { 0.83545132638592001, 5.0000000000000000, 1.0000000000000000,
7295           10.000000000000000, -0.40000000000000002 },
7296   { 0.87091544744412497, 5.0000000000000000, 1.0000000000000000,
7297           10.000000000000000, -0.30000000000000004 },
7298   { 0.90977522877919847, 5.0000000000000000, 1.0000000000000000,
7299           10.000000000000000, -0.19999999999999996 },
7300   { 0.95257738192069130, 5.0000000000000000, 1.0000000000000000,
7301           10.000000000000000, -0.099999999999999978 },
7302   { 1.0000000000000000, 5.0000000000000000, 1.0000000000000000,
7303           10.000000000000000, 0.0000000000000000 },
7304   { 1.0528968282789379, 5.0000000000000000, 1.0000000000000000,
7305           10.000000000000000, 0.10000000000000009 },
7306   { 1.1123617169062123, 5.0000000000000000, 1.0000000000000000,
7307           10.000000000000000, 0.19999999999999996 },
7308   { 1.1798254572896132, 5.0000000000000000, 1.0000000000000000,
7309           10.000000000000000, 0.30000000000000004 },
7310   { 1.2572069000522696, 5.0000000000000000, 1.0000000000000000,
7311           10.000000000000000, 0.39999999999999991 },
7312   { 1.3471600884974377, 5.0000000000000000, 1.0000000000000000,
7313           10.000000000000000, 0.50000000000000000 },
7314   { 1.4535032279573519, 5.0000000000000000, 1.0000000000000000,
7315           10.000000000000000, 0.60000000000000009 },
7316   { 1.5820245752814948, 5.0000000000000000, 1.0000000000000000,
7317           10.000000000000000, 0.69999999999999996 },
7318   { 1.7421756366906538, 5.0000000000000000, 1.0000000000000000,
7319           10.000000000000000, 0.80000000000000004 },
7320   { 1.9513145531098233, 5.0000000000000000, 1.0000000000000000,
7321           10.000000000000000, 0.89999999999999991 },
7322 };
7323 const double toler155 = 2.5000000000000020e-13;
7324
7325 // Test data for a=5.0000000000000000, b=2.0000000000000000, c=2.0000000000000000.
7326 // max(|f - f_GSL|): 1.1641532182693481e-10
7327 // max(|f - f_GSL| / |f_GSL|): 1.4551915228366856e-15
7328 const testcase_hyperg<double>
7329 data156[19] =
7330 {
7331   { 0.040386107340619266, 5.0000000000000000, 2.0000000000000000,
7332           2.0000000000000000, -0.90000000000000002 },
7333   { 0.052922149401344633, 5.0000000000000000, 2.0000000000000000,
7334           2.0000000000000000, -0.80000000000000004 },
7335   { 0.070429627772374270, 5.0000000000000000, 2.0000000000000000,
7336           2.0000000000000000, -0.69999999999999996 },
7337   { 0.095367431640624972, 5.0000000000000000, 2.0000000000000000,
7338           2.0000000000000000, -0.59999999999999998 },
7339   { 0.13168724279835387, 5.0000000000000000, 2.0000000000000000,
7340           2.0000000000000000, -0.50000000000000000 },
7341   { 0.18593443208187066, 5.0000000000000000, 2.0000000000000000,
7342           2.0000000000000000, -0.40000000000000002 },
7343   { 0.26932907434290437, 5.0000000000000000, 2.0000000000000000,
7344           2.0000000000000000, -0.30000000000000004 },
7345   { 0.40187757201646096, 5.0000000000000000, 2.0000000000000000,
7346           2.0000000000000000, -0.19999999999999996 },
7347   { 0.62092132305915493, 5.0000000000000000, 2.0000000000000000,
7348           2.0000000000000000, -0.099999999999999978 },
7349   { 1.0000000000000000, 5.0000000000000000, 2.0000000000000000,
7350           2.0000000000000000, 0.0000000000000000 },
7351   { 1.6935087808430296, 5.0000000000000000, 2.0000000000000000,
7352           2.0000000000000000, 0.10000000000000009 },
7353   { 3.0517578124999991, 5.0000000000000000, 2.0000000000000000,
7354           2.0000000000000000, 0.19999999999999996 },
7355   { 5.9499018266198629, 5.0000000000000000, 2.0000000000000000,
7356           2.0000000000000000, 0.30000000000000004 },
7357   { 12.860082304526737, 5.0000000000000000, 2.0000000000000000,
7358           2.0000000000000000, 0.39999999999999991 },
7359   { 32.000000000000000, 5.0000000000000000, 2.0000000000000000,
7360           2.0000000000000000, 0.50000000000000000 },
7361   { 97.656250000000114, 5.0000000000000000, 2.0000000000000000,
7362           2.0000000000000000, 0.60000000000000009 },
7363   { 411.52263374485580, 5.0000000000000000, 2.0000000000000000,
7364           2.0000000000000000, 0.69999999999999996 },
7365   { 3124.9999999999991, 5.0000000000000000, 2.0000000000000000,
7366           2.0000000000000000, 0.80000000000000004 },
7367   { 99999.999999999665, 5.0000000000000000, 2.0000000000000000,
7368           2.0000000000000000, 0.89999999999999991 },
7369 };
7370 const double toler156 = 2.5000000000000020e-13;
7371
7372 // Test data for a=5.0000000000000000, b=2.0000000000000000, c=4.0000000000000000.
7373 // max(|f - f_GSL|): 6.8212102632969618e-13
7374 // max(|f - f_GSL| / |f_GSL|): 1.2402200478721823e-15
7375 const testcase_hyperg<double>
7376 data157[19] =
7377 {
7378   { 0.21140107887447138, 5.0000000000000000, 2.0000000000000000,
7379           4.0000000000000000, -0.90000000000000002 },
7380   { 0.24005486968449927, 5.0000000000000000, 2.0000000000000000,
7381           4.0000000000000000, -0.80000000000000004 },
7382   { 0.27478119275391810, 5.0000000000000000, 2.0000000000000000,
7383           4.0000000000000000, -0.69999999999999996 },
7384   { 0.31738281250000006, 5.0000000000000000, 2.0000000000000000,
7385           4.0000000000000000, -0.59999999999999998 },
7386   { 0.37037037037037024, 5.0000000000000000, 2.0000000000000000,
7387           4.0000000000000000, -0.50000000000000000 },
7388   { 0.43731778425655959, 5.0000000000000000, 2.0000000000000000,
7389           4.0000000000000000, -0.40000000000000002 },
7390   { 0.52344105598543467, 5.0000000000000000, 2.0000000000000000,
7391           4.0000000000000000, -0.30000000000000004 },
7392   { 0.63657407407407429, 5.0000000000000000, 2.0000000000000000,
7393           4.0000000000000000, -0.19999999999999996 },
7394   { 0.78888054094665638, 5.0000000000000000, 2.0000000000000000,
7395           4.0000000000000000, -0.099999999999999978 },
7396   { 1.0000000000000000, 5.0000000000000000, 2.0000000000000000,
7397           4.0000000000000000, 0.0000000000000000 },
7398   { 1.3031550068587108, 5.0000000000000000, 2.0000000000000000,
7399           4.0000000000000000, 0.10000000000000009 },
7400   { 1.7578125000000002, 5.0000000000000000, 2.0000000000000000,
7401           4.0000000000000000, 0.19999999999999996 },
7402   { 2.4781341107871717, 5.0000000000000000, 2.0000000000000000,
7403           4.0000000000000000, 0.30000000000000004 },
7404   { 3.7037037037037037, 5.0000000000000000, 2.0000000000000000,
7405           4.0000000000000000, 0.39999999999999991 },
7406   { 5.9999999999999982, 5.0000000000000000, 2.0000000000000000,
7407           4.0000000000000000, 0.50000000000000000 },
7408   { 10.937500000000005, 5.0000000000000000, 2.0000000000000000,
7409           4.0000000000000000, 0.60000000000000009 },
7410   { 24.074074074074076, 5.0000000000000000, 2.0000000000000000,
7411           4.0000000000000000, 0.69999999999999996 },
7412   { 74.999999999999957, 5.0000000000000000, 2.0000000000000000,
7413           4.0000000000000000, 0.80000000000000004 },
7414   { 549.99999999999670, 5.0000000000000000, 2.0000000000000000,
7415           4.0000000000000000, 0.89999999999999991 },
7416 };
7417 const double toler157 = 2.5000000000000020e-13;
7418
7419 // Test data for a=5.0000000000000000, b=2.0000000000000000, c=6.0000000000000000.
7420 // max(|f - f_GSL|): 4.9737991503207013e-14
7421 // max(|f - f_GSL| / |f_GSL|): 1.6580642616864663e-15
7422 const testcase_hyperg<double>
7423 data158[19] =
7424 {
7425   { 0.33250915203252129, 5.0000000000000000, 2.0000000000000000,
7426           6.0000000000000000, -0.90000000000000002 },
7427   { 0.36566851047721943, 5.0000000000000000, 2.0000000000000000,
7428           6.0000000000000000, -0.80000000000000004 },
7429   { 0.40414812182437959, 5.0000000000000000, 2.0000000000000000,
7430           6.0000000000000000, -0.69999999999999996 },
7431   { 0.44916943268118498, 5.0000000000000000, 2.0000000000000000,
7432           6.0000000000000000, -0.59999999999999998 },
7433   { 0.50233081077479547, 5.0000000000000000, 2.0000000000000000,
7434           6.0000000000000000, -0.50000000000000000 },
7435   { 0.56575808728873334, 5.0000000000000000, 2.0000000000000000,
7436           6.0000000000000000, -0.40000000000000002 },
7437   { 0.64233106844971433, 5.0000000000000000, 2.0000000000000000,
7438           6.0000000000000000, -0.30000000000000004 },
7439   { 0.73603371116919514, 5.0000000000000000, 2.0000000000000000,
7440           6.0000000000000000, -0.19999999999999996 },
7441   { 0.85251256240112439, 5.0000000000000000, 2.0000000000000000,
7442           6.0000000000000000, -0.099999999999999978 },
7443   { 1.0000000000000000, 5.0000000000000000, 2.0000000000000000,
7444           6.0000000000000000, 0.0000000000000000 },
7445   { 1.1909065696197674, 5.0000000000000000, 2.0000000000000000,
7446           6.0000000000000000, 0.10000000000000009 },
7447   { 1.4447095285569311, 5.0000000000000000, 2.0000000000000000,
7448           6.0000000000000000, 0.19999999999999996 },
7449   { 1.7935243137840653, 5.0000000000000000, 2.0000000000000000,
7450           6.0000000000000000, 0.30000000000000004 },
7451   { 2.2937035820494454, 5.0000000000000000, 2.0000000000000000,
7452           6.0000000000000000, 0.39999999999999991 },
7453   { 3.0524711083016687, 5.0000000000000000, 2.0000000000000000,
7454           6.0000000000000000, 0.50000000000000000 },
7455   { 4.2976512669354259, 5.0000000000000000, 2.0000000000000000,
7456           6.0000000000000000, 0.60000000000000009 },
7457   { 6.5977107563194677, 5.0000000000000000, 2.0000000000000000,
7458           6.0000000000000000, 0.69999999999999996 },
7459   { 11.793747206577530, 5.0000000000000000, 2.0000000000000000,
7460           6.0000000000000000, 0.80000000000000004 },
7461   { 29.997625937982058, 5.0000000000000000, 2.0000000000000000,
7462           6.0000000000000000, 0.89999999999999991 },
7463 };
7464 const double toler158 = 2.5000000000000020e-13;
7465
7466 // Test data for a=5.0000000000000000, b=2.0000000000000000, c=8.0000000000000000.
7467 // max(|f - f_GSL|): 1.1546319456101628e-14
7468 // max(|f - f_GSL| / |f_GSL|): 1.4852319937858947e-15
7469 const testcase_hyperg<double>
7470 data159[19] =
7471 {
7472   { 0.42108197362250294, 5.0000000000000000, 2.0000000000000000,
7473           8.0000000000000000, -0.90000000000000002 },
7474   { 0.45503172013983040, 5.0000000000000000, 2.0000000000000000,
7475           8.0000000000000000, -0.80000000000000004 },
7476   { 0.49345609813624314, 5.0000000000000000, 2.0000000000000000,
7477           8.0000000000000000, -0.69999999999999996 },
7478   { 0.53720880551221295, 5.0000000000000000, 2.0000000000000000,
7479           8.0000000000000000, -0.59999999999999998 },
7480   { 0.58736431524847466, 5.0000000000000000, 2.0000000000000000,
7481           8.0000000000000000, -0.50000000000000000 },
7482   { 0.64529222467897973, 5.0000000000000000, 2.0000000000000000,
7483           8.0000000000000000, -0.40000000000000002 },
7484   { 0.71276337354393937, 5.0000000000000000, 2.0000000000000000,
7485           8.0000000000000000, -0.30000000000000004 },
7486   { 0.79210466220795306, 5.0000000000000000, 2.0000000000000000,
7487           8.0000000000000000, -0.19999999999999996 },
7488   { 0.88643063455510596, 5.0000000000000000, 2.0000000000000000,
7489           8.0000000000000000, -0.099999999999999978 },
7490   { 1.0000000000000000, 5.0000000000000000, 2.0000000000000000,
7491           8.0000000000000000, 0.0000000000000000 },
7492   { 1.1387832139040652, 5.0000000000000000, 2.0000000000000000,
7493           8.0000000000000000, 0.10000000000000009 },
7494   { 1.3114025920844752, 5.0000000000000000, 2.0000000000000000,
7495           8.0000000000000000, 0.19999999999999996 },
7496   { 1.5307655016768162, 5.0000000000000000, 2.0000000000000000,
7497           8.0000000000000000, 0.30000000000000004 },
7498   { 1.8170727950333345, 5.0000000000000000, 2.0000000000000000,
7499           8.0000000000000000, 0.39999999999999991 },
7500   { 2.2037865486700836, 5.0000000000000000, 2.0000000000000000,
7501           8.0000000000000000, 0.50000000000000000 },
7502   { 2.7506766056439380, 5.0000000000000000, 2.0000000000000000,
7503           8.0000000000000000, 0.60000000000000009 },
7504   { 3.5764534935716972, 5.0000000000000000, 2.0000000000000000,
7505           8.0000000000000000, 0.69999999999999996 },
7506   { 4.9587762302155403, 5.0000000000000000, 2.0000000000000000,
7507           8.0000000000000000, 0.80000000000000004 },
7508   { 7.7740847924166800, 5.0000000000000000, 2.0000000000000000,
7509           8.0000000000000000, 0.89999999999999991 },
7510 };
7511 const double toler159 = 2.5000000000000020e-13;
7512
7513 // Test data for a=5.0000000000000000, b=2.0000000000000000, c=10.000000000000000.
7514 // max(|f - f_GSL|): 4.4408920985006262e-15
7515 // max(|f - f_GSL| / |f_GSL|): 1.0721199711322771e-15
7516 const testcase_hyperg<double>
7517 data160[19] =
7518 {
7519   { 0.48860241312958436, 5.0000000000000000, 2.0000000000000000,
7520           10.000000000000000, -0.90000000000000002 },
7521   { 0.52193382517068487, 5.0000000000000000, 2.0000000000000000,
7522           10.000000000000000, -0.80000000000000004 },
7523   { 0.55902375003954219, 5.0000000000000000, 2.0000000000000000,
7524           10.000000000000000, -0.69999999999999996 },
7525   { 0.60049055150230324, 5.0000000000000000, 2.0000000000000000,
7526           10.000000000000000, -0.59999999999999998 },
7527   { 0.64709127927203469, 5.0000000000000000, 2.0000000000000000,
7528           10.000000000000000, -0.50000000000000000 },
7529   { 0.69976233335368987, 5.0000000000000000, 2.0000000000000000,
7530           10.000000000000000, -0.40000000000000002 },
7531   { 0.75967529501080999, 5.0000000000000000, 2.0000000000000000,
7532           10.000000000000000, -0.30000000000000004 },
7533   { 0.82831498895254407, 5.0000000000000000, 2.0000000000000000,
7534           10.000000000000000, -0.19999999999999996 },
7535   { 0.90759090169653933, 5.0000000000000000, 2.0000000000000000,
7536           10.000000000000000, -0.099999999999999978 },
7537   { 1.0000000000000000, 5.0000000000000000, 2.0000000000000000,
7538           10.000000000000000, 0.0000000000000000 },
7539   { 1.1088712278667465, 5.0000000000000000, 2.0000000000000000,
7540           10.000000000000000, 0.10000000000000009 },
7541   { 1.2387445478440853, 5.0000000000000000, 2.0000000000000000,
7542           10.000000000000000, 0.19999999999999996 },
7543   { 1.3959812720437546, 5.0000000000000000, 2.0000000000000000,
7544           10.000000000000000, 0.30000000000000004 },
7545   { 1.5897930661091164, 5.0000000000000000, 2.0000000000000000,
7546           10.000000000000000, 0.39999999999999991 },
7547   { 1.8340789380307454, 5.0000000000000000, 2.0000000000000000,
7548           10.000000000000000, 0.50000000000000000 },
7549   { 2.1509548085970764, 5.0000000000000000, 2.0000000000000000,
7550           10.000000000000000, 0.60000000000000009 },
7551   { 2.5782406951207504, 5.0000000000000000, 2.0000000000000000,
7552           10.000000000000000, 0.69999999999999996 },
7553   { 3.1877847194242737, 5.0000000000000000, 2.0000000000000000,
7554           10.000000000000000, 0.80000000000000004 },
7555   { 4.1421596631676900, 5.0000000000000000, 2.0000000000000000,
7556           10.000000000000000, 0.89999999999999991 },
7557 };
7558 const double toler160 = 2.5000000000000020e-13;
7559
7560 // Test data for a=5.0000000000000000, b=5.0000000000000000, c=2.0000000000000000.
7561 // max(|f - f_GSL|): 1.3113021850585938e-06
7562 // max(|f - f_GSL| / |f_GSL|): 2.8467351045253575e-14
7563 const testcase_hyperg<double>
7564 data161[19] =
7565 {
7566   { -0.0047236848832209926, 5.0000000000000000, 5.0000000000000000,
7567           2.0000000000000000, -0.90000000000000002 },
7568   { -0.0073321496427104288, 5.0000000000000000, 5.0000000000000000,
7569           2.0000000000000000, -0.80000000000000004 },
7570   { -0.010977302557845620, 5.0000000000000000, 5.0000000000000000,
7571           2.0000000000000000, -0.69999999999999996 },
7572   { -0.015692785382270882, 5.0000000000000000, 5.0000000000000000,
7573           2.0000000000000000, -0.59999999999999998 },
7574   { -0.020728547477518663, 5.0000000000000000, 5.0000000000000000,
7575           2.0000000000000000, -0.50000000000000000 },
7576   { -0.022767481479412880, 5.0000000000000000, 5.0000000000000000,
7577           2.0000000000000000, -0.40000000000000002 },
7578   { -0.010634636868114181, 5.0000000000000000, 5.0000000000000000,
7579           2.0000000000000000, -0.30000000000000004 },
7580   { 0.050699832580781923, 5.0000000000000000, 5.0000000000000000,
7581           2.0000000000000000, -0.19999999999999996 },
7582   { 0.27045765367659280, 5.0000000000000000, 5.0000000000000000,
7583           2.0000000000000000, -0.099999999999999978 },
7584   { 1.0000000000000000, 5.0000000000000000, 5.0000000000000000,
7585           2.0000000000000000, 0.0000000000000000 },
7586   { 3.4387055868901171, 5.0000000000000000, 5.0000000000000000,
7587           2.0000000000000000, 0.10000000000000009 },
7588   { 12.052059173583981, 5.0000000000000000, 5.0000000000000000,
7589           2.0000000000000000, 0.19999999999999996 },
7590   { 45.565319600798020, 5.0000000000000000, 5.0000000000000000,
7591           2.0000000000000000, 0.30000000000000004 },
7592   { 196.23532998018572, 5.0000000000000000, 5.0000000000000000,
7593           2.0000000000000000, 0.39999999999999991 },
7594   { 1032.0000000000002, 5.0000000000000000, 5.0000000000000000,
7595           2.0000000000000000, 0.50000000000000000 },
7596   { 7376.0986328125073, 5.0000000000000000, 5.0000000000000000,
7597           2.0000000000000000, 0.60000000000000009 },
7598   { 86964.639536655843, 5.0000000000000000, 5.0000000000000000,
7599           2.0000000000000000, 0.69999999999999996 },
7600   { 2596875.0000000009, 5.0000000000000000, 5.0000000000000000,
7601           2.0000000000000000, 0.80000000000000004 },
7602   { 766224999.99999273, 5.0000000000000000, 5.0000000000000000,
7603           2.0000000000000000, 0.89999999999999991 },
7604 };
7605 const double toler161 = 2.5000000000000015e-12;
7606
7607 // Test data for a=5.0000000000000000, b=5.0000000000000000, c=4.0000000000000000.
7608 // max(|f - f_GSL|): 1.8626451492309570e-09
7609 // max(|f - f_GSL| / |f_GSL|): 1.5205266524334494e-15
7610 const testcase_hyperg<double>
7611 data162[19] =
7612 {
7613   { 0.016473280625778776, 5.0000000000000000, 5.0000000000000000,
7614           4.0000000000000000, -0.90000000000000002 },
7615   { 0.023520955289486591, 5.0000000000000000, 5.0000000000000000,
7616           4.0000000000000000, -0.80000000000000004 },
7617   { 0.034179084066005165, 5.0000000000000000, 5.0000000000000000,
7618           4.0000000000000000, -0.69999999999999996 },
7619   { 0.050663948059081955, 5.0000000000000000, 5.0000000000000000,
7620           4.0000000000000000, -0.59999999999999998 },
7621   { 0.076817558299039870, 5.0000000000000000, 5.0000000000000000,
7622           4.0000000000000000, -0.50000000000000000 },
7623   { 0.11952927776691698, 5.0000000000000000, 5.0000000000000000,
7624           4.0000000000000000, -0.40000000000000002 },
7625   { 0.19163799520552802, 5.0000000000000000, 5.0000000000000000,
7626           4.0000000000000000, -0.30000000000000004 },
7627   { 0.31815307784636504, 5.0000000000000000, 5.0000000000000000,
7628           4.0000000000000000, -0.19999999999999996 },
7629   { 0.55036208180243285, 5.0000000000000000, 5.0000000000000000,
7630           4.0000000000000000, -0.099999999999999978 },
7631   { 1.0000000000000000, 5.0000000000000000, 5.0000000000000000,
7632           4.0000000000000000, 0.0000000000000000 },
7633   { 1.9287183337378946, 5.0000000000000000, 5.0000000000000000,
7634           4.0000000000000000, 0.10000000000000009 },
7635   { 4.0054321289062473, 5.0000000000000000, 5.0000000000000000,
7636           4.0000000000000000, 0.19999999999999996 },
7637   { 9.1373492337376394, 5.0000000000000000, 5.0000000000000000,
7638           4.0000000000000000, 0.30000000000000004 },
7639   { 23.576817558299005, 5.0000000000000000, 5.0000000000000000,
7640           4.0000000000000000, 0.39999999999999991 },
7641   { 71.999999999999972, 5.0000000000000000, 5.0000000000000000,
7642           4.0000000000000000, 0.50000000000000000 },
7643   { 280.76171875000023, 5.0000000000000000, 5.0000000000000000,
7644           4.0000000000000000, 0.60000000000000009 },
7645   { 1611.7969821673514, 5.0000000000000000, 5.0000000000000000,
7646           4.0000000000000000, 0.69999999999999996 },
7647   { 18749.999999999996, 5.0000000000000000, 5.0000000000000000,
7648           4.0000000000000000, 0.80000000000000004 },
7649   { 1224999.9999999879, 5.0000000000000000, 5.0000000000000000,
7650           4.0000000000000000, 0.89999999999999991 },
7651 };
7652 const double toler162 = 2.5000000000000020e-13;
7653
7654 // Test data for a=5.0000000000000000, b=5.0000000000000000, c=6.0000000000000000.
7655 // max(|f - f_GSL|): 1.8189894035458565e-11
7656 // max(|f - f_GSL| / |f_GSL|): 1.5011259042308369e-15
7657 const testcase_hyperg<double>
7658 data163[19] =
7659 {
7660   { 0.067462409738203527, 5.0000000000000000, 5.0000000000000000,
7661           6.0000000000000000, -0.90000000000000002 },
7662   { 0.084813629887172531, 5.0000000000000000, 5.0000000000000000,
7663           6.0000000000000000, -0.80000000000000004 },
7664   { 0.10799223563666395, 5.0000000000000000, 5.0000000000000000,
7665           6.0000000000000000, -0.69999999999999996 },
7666   { 0.13947766136095380, 5.0000000000000000, 5.0000000000000000,
7667           6.0000000000000000, -0.59999999999999998 },
7668   { 0.18305927261494301, 5.0000000000000000, 5.0000000000000000,
7669           6.0000000000000000, -0.50000000000000000 },
7670   { 0.24468431546783440, 5.0000000000000000, 5.0000000000000000,
7671           6.0000000000000000, -0.40000000000000002 },
7672   { 0.33397274564972929, 5.0000000000000000, 5.0000000000000000,
7673           6.0000000000000000, -0.30000000000000004 },
7674   { 0.46703323887436765, 5.0000000000000000, 5.0000000000000000,
7675           6.0000000000000000, -0.19999999999999996 },
7676   { 0.67194346197695642, 5.0000000000000000, 5.0000000000000000,
7677           6.0000000000000000, -0.099999999999999978 },
7678   { 1.0000000000000000, 5.0000000000000000, 5.0000000000000000,
7679           6.0000000000000000, 0.0000000000000000 },
7680   { 1.5503148146900136, 5.0000000000000000, 5.0000000000000000,
7681           6.0000000000000000, 0.10000000000000009 },
7682   { 2.5278200136940998, 5.0000000000000000, 5.0000000000000000,
7683           6.0000000000000000, 0.19999999999999996 },
7684   { 4.3933515329658954, 5.0000000000000000, 5.0000000000000000,
7685           6.0000000000000000, 0.30000000000000004 },
7686   { 8.3000308946110888, 5.0000000000000000, 5.0000000000000000,
7687           6.0000000000000000, 0.39999999999999991 },
7688   { 17.570215556257921, 5.0000000000000000, 5.0000000000000000,
7689           6.0000000000000000, 0.50000000000000000 },
7690   { 43.847462183266167, 5.0000000000000000, 5.0000000000000000,
7691           6.0000000000000000, 0.60000000000000009 },
7692   { 141.86909082943853, 5.0000000000000000, 5.0000000000000000,
7693           6.0000000000000000, 0.69999999999999996 },
7694   { 736.63489653168926, 5.0000000000000000, 5.0000000000000000,
7695           6.0000000000000000, 0.80000000000000004 },
7696   { 12117.500593515439, 5.0000000000000000, 5.0000000000000000,
7697           6.0000000000000000, 0.89999999999999991 },
7698 };
7699 const double toler163 = 2.5000000000000020e-13;
7700
7701 // Test data for a=5.0000000000000000, b=5.0000000000000000, c=8.0000000000000000.
7702 // max(|f - f_GSL|): 6.8212102632969618e-13
7703 // max(|f - f_GSL| / |f_GSL|): 1.3038469641917493e-15
7704 const testcase_hyperg<double>
7705 data164[19] =
7706 {
7707   { 0.12409443806004226, 5.0000000000000000, 5.0000000000000000,
7708           8.0000000000000000, -0.90000000000000002 },
7709   { 0.14886910375100415, 5.0000000000000000, 5.0000000000000000,
7710           8.0000000000000000, -0.80000000000000004 },
7711   { 0.18023328876836348, 5.0000000000000000, 5.0000000000000000,
7712           8.0000000000000000, -0.69999999999999996 },
7713   { 0.22044046981094723, 5.0000000000000000, 5.0000000000000000,
7714           8.0000000000000000, -0.59999999999999998 },
7715   { 0.27271160690708790, 5.0000000000000000, 5.0000000000000000,
7716           8.0000000000000000, -0.50000000000000000 },
7717   { 0.34174821195025828, 5.0000000000000000, 5.0000000000000000,
7718           8.0000000000000000, -0.40000000000000002 },
7719   { 0.43457788826160254, 5.0000000000000000, 5.0000000000000000,
7720           8.0000000000000000, -0.30000000000000004 },
7721   { 0.56199385898404552, 5.0000000000000000, 5.0000000000000000,
7722           8.0000000000000000, -0.19999999999999996 },
7723   { 0.74109892753745221, 5.0000000000000000, 5.0000000000000000,
7724           8.0000000000000000, -0.099999999999999978 },
7725   { 1.0000000000000000, 5.0000000000000000, 5.0000000000000000,
7726           8.0000000000000000, 0.0000000000000000 },
7727   { 1.3869229400096228, 5.0000000000000000, 5.0000000000000000,
7728           8.0000000000000000, 0.10000000000000009 },
7729   { 1.9890168748121255, 5.0000000000000000, 5.0000000000000000,
7730           8.0000000000000000, 0.19999999999999996 },
7731   { 2.9741205609307424, 5.0000000000000000, 5.0000000000000000,
7732           8.0000000000000000, 0.30000000000000004 },
7733   { 4.6924751038237300, 5.0000000000000000, 5.0000000000000000,
7734           8.0000000000000000, 0.39999999999999991 },
7735   { 7.9555939380658254, 5.0000000000000000, 5.0000000000000000,
7736           8.0000000000000000, 0.50000000000000000 },
7737   { 14.933102063314404, 5.0000000000000000, 5.0000000000000000,
7738           8.0000000000000000, 0.60000000000000009 },
7739   { 32.780461638447491, 5.0000000000000000, 5.0000000000000000,
7740           8.0000000000000000, 0.69999999999999996 },
7741   { 94.848124287773530, 5.0000000000000000, 5.0000000000000000,
7742           8.0000000000000000, 0.80000000000000004 },
7743   { 523.16034401517425, 5.0000000000000000, 5.0000000000000000,
7744           8.0000000000000000, 0.89999999999999991 },
7745 };
7746 const double toler164 = 2.5000000000000020e-13;
7747
7748 // Test data for a=5.0000000000000000, b=5.0000000000000000, c=10.000000000000000.
7749 // max(|f - f_GSL|): 9.9475983006414026e-14
7750 // max(|f - f_GSL| / |f_GSL|): 1.3163001721303592e-15
7751 const testcase_hyperg<double>
7752 data165[19] =
7753 {
7754   { 0.17885405888526873, 5.0000000000000000, 5.0000000000000000,
7755           10.000000000000000, -0.90000000000000002 },
7756   { 0.20861302518993391, 5.0000000000000000, 5.0000000000000000,
7757           10.000000000000000, -0.80000000000000004 },
7758   { 0.24504033307244946, 5.0000000000000000, 5.0000000000000000,
7759           10.000000000000000, -0.69999999999999996 },
7760   { 0.29007236051133489, 5.0000000000000000, 5.0000000000000000,
7761           10.000000000000000, -0.59999999999999998 },
7762   { 0.34635542859732737, 5.0000000000000000, 5.0000000000000000,
7763           10.000000000000000, -0.50000000000000000 },
7764   { 0.41756858504598376, 5.0000000000000000, 5.0000000000000000,
7765           10.000000000000000, -0.40000000000000002 },
7766   { 0.50892615622124371, 5.0000000000000000, 5.0000000000000000,
7767           10.000000000000000, -0.30000000000000004 },
7768   { 0.62798173270509761, 5.0000000000000000, 5.0000000000000000,
7769           10.000000000000000, -0.19999999999999996 },
7770   { 0.78595487360378424, 5.0000000000000000, 5.0000000000000000,
7771           10.000000000000000, -0.099999999999999978 },
7772   { 1.0000000000000000, 5.0000000000000000, 5.0000000000000000,
7773           10.000000000000000, 0.0000000000000000 },
7774   { 1.2972517637384813, 5.0000000000000000, 5.0000000000000000,
7775           10.000000000000000, 0.10000000000000009 },
7776   { 1.7224028197396388, 5.0000000000000000, 5.0000000000000000,
7777           10.000000000000000, 0.19999999999999996 },
7778   { 2.3527690438263305, 5.0000000000000000, 5.0000000000000000,
7779           10.000000000000000, 0.30000000000000004 },
7780   { 3.3305218060101116, 5.0000000000000000, 5.0000000000000000,
7781           10.000000000000000, 0.39999999999999991 },
7782   { 4.9383884076775466, 5.0000000000000000, 5.0000000000000000,
7783           10.000000000000000, 0.50000000000000000 },
7784   { 7.8007604680775229, 5.0000000000000000, 5.0000000000000000,
7785           10.000000000000000, 0.60000000000000009 },
7786   { 13.518663719271885, 5.0000000000000000, 5.0000000000000000,
7787           10.000000000000000, 0.69999999999999996 },
7788   { 27.285345906502567, 5.0000000000000000, 5.0000000000000000,
7789           10.000000000000000, 0.80000000000000004 },
7790   { 75.572415101501988, 5.0000000000000000, 5.0000000000000000,
7791           10.000000000000000, 0.89999999999999991 },
7792 };
7793 const double toler165 = 2.5000000000000020e-13;
7794
7795 // Test data for a=5.0000000000000000, b=10.000000000000000, c=2.0000000000000000.
7796 // max(|f - f_GSL|): 0.81250000000000000
7797 // max(|f - f_GSL| / |f_GSL|): 1.8182428501096805e-15
7798 const testcase_hyperg<double>
7799 data166[19] =
7800 {
7801   { 0.00063586451658060813, 5.0000000000000000, 10.000000000000000,
7802           2.0000000000000000, -0.90000000000000002 },
7803   { 0.0010334743461763829, 5.0000000000000000, 10.000000000000000,
7804           2.0000000000000000, -0.80000000000000004 },
7805   { 0.0015326246054669763, 5.0000000000000000, 10.000000000000000,
7806           2.0000000000000000, -0.69999999999999996 },
7807   { 0.0019007018181583513, 5.0000000000000000, 10.000000000000000,
7808           2.0000000000000000, -0.59999999999999998 },
7809   { 0.0012845577715431562, 5.0000000000000000, 10.000000000000000,
7810           2.0000000000000000, -0.50000000000000000 },
7811   { -0.0027213806178057538, 5.0000000000000000, 10.000000000000000,
7812           2.0000000000000000, -0.40000000000000002 },
7813   { -0.015121744574954058, 5.0000000000000000, 10.000000000000000,
7814           2.0000000000000000, -0.30000000000000004 },
7815   { -0.036637840562974290, 5.0000000000000000, 10.000000000000000,
7816           2.0000000000000000, -0.19999999999999996 },
7817   { 0.019117849062621605, 5.0000000000000000, 10.000000000000000,
7818           2.0000000000000000, -0.099999999999999978 },
7819   { 1.0000000000000000, 5.0000000000000000, 10.000000000000000,
7820           2.0000000000000000, 0.0000000000000000 },
7821   { 9.8116901852350615, 5.0000000000000000, 10.000000000000000,
7822           2.0000000000000000, 0.10000000000000009 },
7823   { 84.255589172244044, 5.0000000000000000, 10.000000000000000,
7824           2.0000000000000000, 0.19999999999999996 },
7825   { 773.87517619421294, 5.0000000000000000, 10.000000000000000,
7826           2.0000000000000000, 0.30000000000000004 },
7827   { 8556.9725363053585, 5.0000000000000000, 10.000000000000000,
7828           2.0000000000000000, 0.39999999999999991 },
7829   { 129023.99999999996, 5.0000000000000000, 10.000000000000000,
7830           2.0000000000000000, 0.50000000000000000 },
7831   { 3174543.3807373112, 5.0000000000000000, 10.000000000000000,
7832           2.0000000000000000, 0.60000000000000009 },
7833   { 175133896.95814410, 5.0000000000000000, 10.000000000000000,
7834           2.0000000000000000, 0.69999999999999996 },
7835   { 43564453125.000061, 5.0000000000000000, 10.000000000000000,
7836           2.0000000000000000, 0.80000000000000004 },
7837   { 446859999999993.50, 5.0000000000000000, 10.000000000000000,
7838           2.0000000000000000, 0.89999999999999991 },
7839 };
7840 const double toler166 = 2.5000000000000020e-13;
7841
7842 // Test data for a=5.0000000000000000, b=10.000000000000000, c=4.0000000000000000.
7843 // max(|f - f_GSL|): 0.00039672851562500000
7844 // max(|f - f_GSL| / |f_GSL|): 1.6882064494681041e-15
7845 const testcase_hyperg<double>
7846 data167[19] =
7847 {
7848   { -0.00030045430691814646, 5.0000000000000000, 10.000000000000000,
7849           4.0000000000000000, -0.90000000000000002 },
7850   { -0.00031119487747322054, 5.0000000000000000, 10.000000000000000,
7851           4.0000000000000000, -0.80000000000000004 },
7852   { -0.00014589213141656318, 5.0000000000000000, 10.000000000000000,
7853           4.0000000000000000, -0.69999999999999996 },
7854   { 0.00056843418860824636, 5.0000000000000000, 10.000000000000000,
7855           4.0000000000000000, -0.59999999999999998 },
7856   { 0.0028902549859721747, 5.0000000000000000, 10.000000000000000,
7857           4.0000000000000000, -0.50000000000000000 },
7858   { 0.0098776037238878477, 5.0000000000000000, 10.000000000000000,
7859           4.0000000000000000, -0.40000000000000002 },
7860   { 0.030689217428863869, 5.0000000000000000, 10.000000000000000,
7861           4.0000000000000000, -0.30000000000000004 },
7862   { 0.094211590019076558, 5.0000000000000000, 10.000000000000000,
7863           4.0000000000000000, -0.19999999999999996 },
7864   { 0.29791981455918370, 5.0000000000000000, 10.000000000000000,
7865           4.0000000000000000, -0.099999999999999978 },
7866   { 1.0000000000000000, 5.0000000000000000, 10.000000000000000,
7867           4.0000000000000000, 0.0000000000000000 },
7868   { 3.6646308771236793, 5.0000000000000000, 10.000000000000000,
7869           4.0000000000000000, 0.10000000000000009 },
7870   { 15.133991837501521, 5.0000000000000000, 10.000000000000000,
7871           4.0000000000000000, 0.19999999999999996 },
7872   { 73.331330046144089, 5.0000000000000000, 10.000000000000000,
7873           4.0000000000000000, 0.30000000000000004 },
7874   { 441.01791167787133, 5.0000000000000000, 10.000000000000000,
7875           4.0000000000000000, 0.39999999999999991 },
7876   { 3583.9999999999991, 5.0000000000000000, 10.000000000000000,
7877           4.0000000000000000, 0.50000000000000000 },
7878   { 45299.530029296984, 5.0000000000000000, 10.000000000000000,
7879           4.0000000000000000, 0.60000000000000009 },
7880   { 1157231.0002427341, 5.0000000000000000, 10.000000000000000,
7881           4.0000000000000000, 0.69999999999999996 },
7882   { 107421875.00000016, 5.0000000000000000, 10.000000000000000,
7883           4.0000000000000000, 0.80000000000000004 },
7884   { 234999999999.99734, 5.0000000000000000, 10.000000000000000,
7885           4.0000000000000000, 0.89999999999999991 },
7886 };
7887 const double toler167 = 2.5000000000000020e-13;
7888
7889 // Test data for a=5.0000000000000000, b=10.000000000000000, c=6.0000000000000000.
7890 // max(|f - f_GSL|): 9.5367431640625000e-07
7891 // max(|f - f_GSL| / |f_GSL|): 1.6314276114917867e-15
7892 const testcase_hyperg<double>
7893 data168[19] =
7894 {
7895   { 0.0058530497315413248, 5.0000000000000000, 10.000000000000000,
7896           6.0000000000000000, -0.90000000000000002 },
7897   { 0.0088526869356855397, 5.0000000000000000, 10.000000000000000,
7898           6.0000000000000000, -0.80000000000000004 },
7899   { 0.013770987983442959, 5.0000000000000000, 10.000000000000000,
7900           6.0000000000000000, -0.69999999999999996 },
7901   { 0.022108932690960776, 5.0000000000000000, 10.000000000000000,
7902           6.0000000000000000, -0.59999999999999998 },
7903   { 0.036786236450921550, 5.0000000000000000, 10.000000000000000,
7904           6.0000000000000000, -0.50000000000000000 },
7905   { 0.063750669040426505, 5.0000000000000000, 10.000000000000000,
7906           6.0000000000000000, -0.40000000000000002 },
7907   { 0.11577228680714462, 5.0000000000000000, 10.000000000000000,
7908           6.0000000000000000, -0.30000000000000004 },
7909   { 0.22197573416125760, 5.0000000000000000, 10.000000000000000,
7910           6.0000000000000000, -0.19999999999999996 },
7911   { 0.45361312968415324, 5.0000000000000000, 10.000000000000000,
7912           6.0000000000000000, -0.099999999999999978 },
7913   { 1.0000000000000000, 5.0000000000000000, 10.000000000000000,
7914           6.0000000000000000, 0.0000000000000000 },
7915   { 2.4162889363082747, 5.0000000000000000, 10.000000000000000,
7916           6.0000000000000000, 0.10000000000000009 },
7917   { 6.5381564791240399, 5.0000000000000000, 10.000000000000000,
7918           6.0000000000000000, 0.19999999999999996 },
7919   { 20.415771011498428, 5.0000000000000000, 10.000000000000000,
7920           6.0000000000000000, 0.30000000000000004 },
7921   { 76.870682056629221, 5.0000000000000000, 10.000000000000000,
7922           6.0000000000000000, 0.39999999999999991 },
7923   { 373.58730158730162, 5.0000000000000000, 10.000000000000000,
7924           6.0000000000000000, 0.50000000000000000 },
7925   { 2626.2555803571477, 5.0000000000000000, 10.000000000000000,
7926           6.0000000000000000, 0.60000000000000009 },
7927   { 33060.960671081048, 5.0000000000000000, 10.000000000000000,
7928           6.0000000000000000, 0.69999999999999996 },
7929   { 1203521.8253968258, 5.0000000000000000, 10.000000000000000,
7930           6.0000000000000000, 0.80000000000000004 },
7931   { 584564285.71427989, 5.0000000000000000, 10.000000000000000,
7932           6.0000000000000000, 0.89999999999999991 },
7933 };
7934 const double toler168 = 2.5000000000000020e-13;
7935
7936 // Test data for a=5.0000000000000000, b=10.000000000000000, c=8.0000000000000000.
7937 // max(|f - f_GSL|): 7.4505805969238281e-09
7938 // max(|f - f_GSL| / |f_GSL|): 1.6196914341138888e-15
7939 const testcase_hyperg<double>
7940 data169[19] =
7941 {
7942   { 0.020248990107069573, 5.0000000000000000, 10.000000000000000,
7943           8.0000000000000000, -0.90000000000000002 },
7944   { 0.027876687750502366, 5.0000000000000000, 10.000000000000000,
7945           8.0000000000000000, -0.80000000000000004 },
7946   { 0.039154648888447607, 5.0000000000000000, 10.000000000000000,
7947           8.0000000000000000, -0.69999999999999996 },
7948   { 0.056251883506774715, 5.0000000000000000, 10.000000000000000,
7949           8.0000000000000000, -0.59999999999999998 },
7950   { 0.082914189910074473, 5.0000000000000000, 10.000000000000000,
7951           8.0000000000000000, -0.50000000000000000 },
7952   { 0.12585357817786455, 5.0000000000000000, 10.000000000000000,
7953           8.0000000000000000, -0.40000000000000002 },
7954   { 0.19761423206224954, 5.0000000000000000, 10.000000000000000,
7955           8.0000000000000000, -0.30000000000000004 },
7956   { 0.32280443863359237, 5.0000000000000000, 10.000000000000000,
7957           8.0000000000000000, -0.19999999999999996 },
7958   { 0.55250024062839420, 5.0000000000000000, 10.000000000000000,
7959           8.0000000000000000, -0.099999999999999978 },
7960   { 1.0000000000000000, 5.0000000000000000, 10.000000000000000,
7961           8.0000000000000000, 0.0000000000000000 },
7962   { 1.9374297986599267, 5.0000000000000000, 10.000000000000000,
7963           8.0000000000000000, 0.10000000000000009 },
7964   { 4.0849049886067696, 5.0000000000000000, 10.000000000000000,
7965           8.0000000000000000, 0.19999999999999996 },
7966   { 9.5926988633258983, 5.0000000000000000, 10.000000000000000,
7967           8.0000000000000000, 0.30000000000000004 },
7968   { 25.958314281359531, 5.0000000000000000, 10.000000000000000,
7969           8.0000000000000000, 0.39999999999999991 },
7970   { 85.333333333333300, 5.0000000000000000, 10.000000000000000,
7971           8.0000000000000000, 0.50000000000000000 },
7972   { 372.31445312500028, 5.0000000000000000, 10.000000000000000,
7973           8.0000000000000000, 0.60000000000000009 },
7974   { 2545.3436976070675, 5.0000000000000000, 10.000000000000000,
7975           8.0000000000000000, 0.69999999999999996 },
7976   { 39583.333333333343, 5.0000000000000000, 10.000000000000000,
7977           8.0000000000000000, 0.80000000000000004 },
7978   { 4599999.9999999627, 5.0000000000000000, 10.000000000000000,
7979           8.0000000000000000, 0.89999999999999991 },
7980 };
7981 const double toler169 = 2.5000000000000020e-13;
7982
7983 // Test data for a=5.0000000000000000, b=10.000000000000000, c=10.000000000000000.
7984 // max(|f - f_GSL|): 1.1641532182693481e-10
7985 // max(|f - f_GSL| / |f_GSL|): 1.4551915228366856e-15
7986 const testcase_hyperg<double>
7987 data170[19] =
7988 {
7989   { 0.040386107340619266, 5.0000000000000000, 10.000000000000000,
7990           10.000000000000000, -0.90000000000000002 },
7991   { 0.052922149401344633, 5.0000000000000000, 10.000000000000000,
7992           10.000000000000000, -0.80000000000000004 },
7993   { 0.070429627772374270, 5.0000000000000000, 10.000000000000000,
7994           10.000000000000000, -0.69999999999999996 },
7995   { 0.095367431640624972, 5.0000000000000000, 10.000000000000000,
7996           10.000000000000000, -0.59999999999999998 },
7997   { 0.13168724279835387, 5.0000000000000000, 10.000000000000000,
7998           10.000000000000000, -0.50000000000000000 },
7999   { 0.18593443208187066, 5.0000000000000000, 10.000000000000000,
8000           10.000000000000000, -0.40000000000000002 },
8001   { 0.26932907434290437, 5.0000000000000000, 10.000000000000000,
8002           10.000000000000000, -0.30000000000000004 },
8003   { 0.40187757201646096, 5.0000000000000000, 10.000000000000000,
8004           10.000000000000000, -0.19999999999999996 },
8005   { 0.62092132305915493, 5.0000000000000000, 10.000000000000000,
8006           10.000000000000000, -0.099999999999999978 },
8007   { 1.0000000000000000, 5.0000000000000000, 10.000000000000000,
8008           10.000000000000000, 0.0000000000000000 },
8009   { 1.6935087808430296, 5.0000000000000000, 10.000000000000000,
8010           10.000000000000000, 0.10000000000000009 },
8011   { 3.0517578124999991, 5.0000000000000000, 10.000000000000000,
8012           10.000000000000000, 0.19999999999999996 },
8013   { 5.9499018266198629, 5.0000000000000000, 10.000000000000000,
8014           10.000000000000000, 0.30000000000000004 },
8015   { 12.860082304526737, 5.0000000000000000, 10.000000000000000,
8016           10.000000000000000, 0.39999999999999991 },
8017   { 32.000000000000000, 5.0000000000000000, 10.000000000000000,
8018           10.000000000000000, 0.50000000000000000 },
8019   { 97.656250000000114, 5.0000000000000000, 10.000000000000000,
8020           10.000000000000000, 0.60000000000000009 },
8021   { 411.52263374485580, 5.0000000000000000, 10.000000000000000,
8022           10.000000000000000, 0.69999999999999996 },
8023   { 3124.9999999999991, 5.0000000000000000, 10.000000000000000,
8024           10.000000000000000, 0.80000000000000004 },
8025   { 99999.999999999665, 5.0000000000000000, 10.000000000000000,
8026           10.000000000000000, 0.89999999999999991 },
8027 };
8028 const double toler170 = 2.5000000000000020e-13;
8029
8030 // Test data for a=5.0000000000000000, b=20.000000000000000, c=2.0000000000000000.
8031 // max(|f - f_GSL|): 60129542144.000000
8032 // max(|f - f_GSL| / |f_GSL|): 2.0181355730233454e-15
8033 const testcase_hyperg<double>
8034 data171[19] =
8035 {
8036   { -1.8650300348790099e-05, 5.0000000000000000, 20.000000000000000,
8037           2.0000000000000000, -0.90000000000000002 },
8038   { -3.6488008415371319e-05, 5.0000000000000000, 20.000000000000000,
8039           2.0000000000000000, -0.80000000000000004 },
8040   { -6.4614776410961038e-05, 5.0000000000000000, 20.000000000000000,
8041           2.0000000000000000, -0.69999999999999996 },
8042   { -8.4495207102246549e-05, 5.0000000000000000, 20.000000000000000,
8043           2.0000000000000000, -0.59999999999999998 },
8044   { 2.2276197023825424e-05, 5.0000000000000000, 20.000000000000000,
8045           2.0000000000000000, -0.50000000000000000 },
8046   { 0.00070736115111447856, 5.0000000000000000, 20.000000000000000,
8047           2.0000000000000000, -0.40000000000000002 },
8048   { 0.0027829732057273854, 5.0000000000000000, 20.000000000000000,
8049           2.0000000000000000, -0.30000000000000004 },
8050   { 0.0013283545664371644, 5.0000000000000000, 20.000000000000000,
8051           2.0000000000000000, -0.19999999999999996 },
8052   { -0.041767631015048774, 5.0000000000000000, 20.000000000000000,
8053           2.0000000000000000, -0.099999999999999978 },
8054   { 1.0000000000000000, 5.0000000000000000, 20.000000000000000,
8055           2.0000000000000000, 0.0000000000000000 },
8056   { 61.311496556100003, 5.0000000000000000, 20.000000000000000,
8057           2.0000000000000000, 0.10000000000000009 },
8058   { 2397.4420539085681, 5.0000000000000000, 20.000000000000000,
8059           2.0000000000000000, 0.19999999999999996 },
8060   { 103687.60998586559, 5.0000000000000000, 20.000000000000000,
8061           2.0000000000000000, 0.30000000000000004 },
8062   { 6247196.6451068865, 5.0000000000000000, 20.000000000000000,
8063           2.0000000000000000, 0.39999999999999991 },
8064   { 656408576.00000000, 5.0000000000000000, 20.000000000000000,
8065           2.0000000000000000, 0.50000000000000000 },
8066   { 165334768098.54715, 5.0000000000000000, 20.000000000000000,
8067           2.0000000000000000, 0.60000000000000009 },
8068   { 175097125520816.81, 5.0000000000000000, 20.000000000000000,
8069           2.0000000000000000, 0.69999999999999996 },
8070   { 2.6818275451660257e+18, 5.0000000000000000, 20.000000000000000,
8071           2.0000000000000000, 0.80000000000000004 },
8072   { 2.9794599999999321e+25, 5.0000000000000000, 20.000000000000000,
8073           2.0000000000000000, 0.89999999999999991 },
8074 };
8075 const double toler171 = 2.5000000000000020e-13;
8076
8077 // Test data for a=5.0000000000000000, b=20.000000000000000, c=4.0000000000000000.
8078 // max(|f - f_GSL|): 9437184.0000000000
8079 // max(|f - f_GSL| / |f_GSL|): 2.0515617391304744e-15
8080 const testcase_hyperg<double>
8081 data172[19] =
8082 {
8083   { -3.6403884516313627e-06, 5.0000000000000000, 20.000000000000000,
8084           4.0000000000000000, -0.90000000000000002 },
8085   { -9.5873829246491408e-06, 5.0000000000000000, 20.000000000000000,
8086           4.0000000000000000, -0.80000000000000004 },
8087   { -2.6052245147200097e-05, 5.0000000000000000, 20.000000000000000,
8088           4.0000000000000000, -0.69999999999999996 },
8089   { -7.2378303598384501e-05, 5.0000000000000000, 20.000000000000000,
8090           4.0000000000000000, -0.59999999999999998 },
8091   { -0.00020048577321417379, 5.0000000000000000, 20.000000000000000,
8092           4.0000000000000000, -0.50000000000000000 },
8093   { -0.00051222704046227391, 5.0000000000000000, 20.000000000000000,
8094           4.0000000000000000, -0.40000000000000002 },
8095   { -0.00080950511491898055, 5.0000000000000000, 20.000000000000000,
8096           4.0000000000000000, -0.30000000000000004 },
8097   { 0.0043473422174314250, 5.0000000000000000, 20.000000000000000,
8098           4.0000000000000000, -0.19999999999999996 },
8099   { 0.081078342558623853, 5.0000000000000000, 20.000000000000000,
8100           4.0000000000000000, -0.099999999999999978 },
8101   { 1.0000000000000000, 5.0000000000000000, 20.000000000000000,
8102           4.0000000000000000, 0.0000000000000000 },
8103   { 12.794854084397739, 5.0000000000000000, 20.000000000000000,
8104           4.0000000000000000, 0.10000000000000009 },
8105   { 195.15639104739046, 5.0000000000000000, 20.000000000000000,
8106           4.0000000000000000, 0.19999999999999996 },
8107   { 3938.7991953190131, 5.0000000000000000, 20.000000000000000,
8108           4.0000000000000000, 0.30000000000000004 },
8109   { 118521.48653762060, 5.0000000000000000, 20.000000000000000,
8110           4.0000000000000000, 0.39999999999999991 },
8111   { 6291455.9999999972, 5.0000000000000000, 20.000000000000000,
8112           4.0000000000000000, 0.50000000000000000 },
8113   { 773070496.50699198, 5.0000000000000000, 20.000000000000000,
8114           4.0000000000000000, 0.60000000000000009 },
8115   { 363276452167.04102, 5.0000000000000000, 20.000000000000000,
8116           4.0000000000000000, 0.69999999999999996 },
8117   { 2002716064453133.0, 5.0000000000000000, 20.000000000000000,
8118           4.0000000000000000, 0.80000000000000004 },
8119   { 4.5999999999999109e+21, 5.0000000000000000, 20.000000000000000,
8120           4.0000000000000000, 0.89999999999999991 },
8121 };
8122 const double toler172 = 2.5000000000000020e-13;
8123
8124 // Test data for a=5.0000000000000000, b=20.000000000000000, c=6.0000000000000000.
8125 // max(|f - f_GSL|): 5120.0000000000000
8126 // max(|f - f_GSL| / |f_GSL|): 1.7944916193878923e-15
8127 const testcase_hyperg<double>
8128 data173[19] =
8129 {
8130   { 0.00014313323624053599, 5.0000000000000000, 20.000000000000000,
8131           6.0000000000000000, -0.90000000000000002 },
8132   { 0.00025426183473118769, 5.0000000000000000, 20.000000000000000,
8133           6.0000000000000000, -0.80000000000000004 },
8134   { 0.00048255612836437054, 5.0000000000000000, 20.000000000000000,
8135           6.0000000000000000, -0.69999999999999996 },
8136   { 0.00099096904674794185, 5.0000000000000000, 20.000000000000000,
8137           6.0000000000000000, -0.59999999999999998 },
8138   { 0.0022347805521915616, 5.0000000000000000, 20.000000000000000,
8139           6.0000000000000000, -0.50000000000000000 },
8140   { 0.0056271390060292845, 5.0000000000000000, 20.000000000000000,
8141           6.0000000000000000, -0.40000000000000002 },
8142   { 0.016109059519227316, 5.0000000000000000, 20.000000000000000,
8143           6.0000000000000000, -0.30000000000000004 },
8144   { 0.053453465775609076, 5.0000000000000000, 20.000000000000000,
8145           6.0000000000000000, -0.19999999999999996 },
8146   { 0.20995202901839263, 5.0000000000000000, 20.000000000000000,
8147           6.0000000000000000, -0.099999999999999978 },
8148   { 1.0000000000000000, 5.0000000000000000, 20.000000000000000,
8149           6.0000000000000000, 0.0000000000000000 },
8150   { 5.9534372167648799, 5.0000000000000000, 20.000000000000000,
8151           6.0000000000000000, 0.10000000000000009 },
8152   { 46.157632071205875, 5.0000000000000000, 20.000000000000000,
8153           6.0000000000000000, 0.19999999999999996 },
8154   { 494.32074431164915, 5.0000000000000000, 20.000000000000000,
8155           6.0000000000000000, 0.30000000000000004 },
8156   { 7989.5277611775946, 5.0000000000000000, 20.000000000000000,
8157           6.0000000000000000, 0.39999999999999991 },
8158   { 224179.55830753347, 5.0000000000000000, 20.000000000000000,
8159           6.0000000000000000, 0.50000000000000000 },
8160   { 13848144.485282511, 5.0000000000000000, 20.000000000000000,
8161           6.0000000000000000, 0.60000000000000009 },
8162   { 2948587692.8891716, 5.0000000000000000, 20.000000000000000,
8163           6.0000000000000000, 0.69999999999999996 },
8164   { 5940513286161.6602, 5.0000000000000000, 20.000000000000000,
8165           6.0000000000000000, 0.80000000000000004 },
8166   { 2.8531757655945201e+18, 5.0000000000000000, 20.000000000000000,
8167           6.0000000000000000, 0.89999999999999991 },
8168 };
8169 const double toler173 = 2.5000000000000020e-13;
8170
8171 // Test data for a=5.0000000000000000, b=20.000000000000000, c=8.0000000000000000.
8172 // max(|f - f_GSL|): 7.0000000000000000
8173 // max(|f - f_GSL| / |f_GSL|): 1.5351977183414298e-15
8174 const testcase_hyperg<double>
8175 data174[19] =
8176 {
8177   { 0.0012492049968744917, 5.0000000000000000, 20.000000000000000,
8178           8.0000000000000000, -0.90000000000000002 },
8179   { 0.0019931241968014200, 5.0000000000000000, 20.000000000000000,
8180           8.0000000000000000, -0.80000000000000004 },
8181   { 0.0033203386861410844, 5.0000000000000000, 20.000000000000000,
8182           8.0000000000000000, -0.69999999999999996 },
8183   { 0.0058191894509856774, 5.0000000000000000, 20.000000000000000,
8184           8.0000000000000000, -0.59999999999999998 },
8185   { 0.010830090368313864, 5.0000000000000000, 20.000000000000000,
8186           8.0000000000000000, -0.50000000000000000 },
8187   { 0.021653062305192875, 5.0000000000000000, 20.000000000000000,
8188           8.0000000000000000, -0.40000000000000002 },
8189   { 0.047180821280919043, 5.0000000000000000, 20.000000000000000,
8190           8.0000000000000000, -0.30000000000000004 },
8191   { 0.11405637279736212, 5.0000000000000000, 20.000000000000000,
8192           8.0000000000000000, -0.19999999999999996 },
8193   { 0.31275468794721017, 5.0000000000000000, 20.000000000000000,
8194           8.0000000000000000, -0.099999999999999978 },
8195   { 1.0000000000000000, 5.0000000000000000, 20.000000000000000,
8196           8.0000000000000000, 0.0000000000000000 },
8197   { 3.8598904658643969, 5.0000000000000000, 20.000000000000000,
8198           8.0000000000000000, 0.10000000000000009 },
8199   { 18.806301417906667, 5.0000000000000000, 20.000000000000000,
8200           8.0000000000000000, 0.19999999999999996 },
8201   { 122.77054465017432, 5.0000000000000000, 20.000000000000000,
8202           8.0000000000000000, 0.30000000000000004 },
8203   { 1168.4762146808946, 5.0000000000000000, 20.000000000000000,
8204           8.0000000000000000, 0.39999999999999991 },
8205   { 18437.511788521082, 5.0000000000000000, 20.000000000000000,
8206           8.0000000000000000, 0.50000000000000000 },
8207   { 597441.79669264762, 5.0000000000000000, 20.000000000000000,
8208           8.0000000000000000, 0.60000000000000009 },
8209   { 59390411.369227782, 5.0000000000000000, 20.000000000000000,
8210           8.0000000000000000, 0.69999999999999996 },
8211   { 44681668993.361603, 5.0000000000000000, 20.000000000000000,
8212           8.0000000000000000, 0.80000000000000004 },
8213   { 4559673269683164.0, 5.0000000000000000, 20.000000000000000,
8214           8.0000000000000000, 0.89999999999999991 },
8215 };
8216 const double toler174 = 2.5000000000000020e-13;
8217
8218 // Test data for a=5.0000000000000000, b=20.000000000000000, c=10.000000000000000.
8219 // max(|f - f_GSL|): 0.029296875000000000
8220 // max(|f - f_GSL| / |f_GSL|): 1.8717083246628922e-15
8221 const testcase_hyperg<double>
8222 data175[19] =
8223 {
8224   { 0.0038867957051370739, 5.0000000000000000, 20.000000000000000,
8225           10.000000000000000, -0.90000000000000002 },
8226   { 0.0058484892597364235, 5.0000000000000000, 20.000000000000000,
8227           10.000000000000000, -0.80000000000000004 },
8228   { 0.0090987656053758189, 5.0000000000000000, 20.000000000000000,
8229           10.000000000000000, -0.69999999999999996 },
8230   { 0.014714392537270657, 5.0000000000000000, 20.000000000000000,
8231           10.000000000000000, -0.59999999999999998 },
8232   { 0.024900404542056772, 5.0000000000000000, 20.000000000000000,
8233           10.000000000000000, -0.50000000000000000 },
8234   { 0.044460184663785027, 5.0000000000000000, 20.000000000000000,
8235           10.000000000000000, -0.40000000000000002 },
8236   { 0.084638849196356780, 5.0000000000000000, 20.000000000000000,
8237           10.000000000000000, -0.30000000000000004 },
8238   { 0.17409058241291026, 5.0000000000000000, 20.000000000000000,
8239           10.000000000000000, -0.19999999999999996 },
8240   { 0.39357055823580767, 5.0000000000000000, 20.000000000000000,
8241           10.000000000000000, -0.099999999999999978 },
8242   { 1.0000000000000000, 5.0000000000000000, 20.000000000000000,
8243           10.000000000000000, 0.0000000000000000 },
8244   { 2.9410794636226596, 5.0000000000000000, 20.000000000000000,
8245           10.000000000000000, 0.10000000000000009 },
8246   { 10.417226071414344, 5.0000000000000000, 20.000000000000000,
8247           10.000000000000000, 0.19999999999999996 },
8248   { 46.930585873140835, 5.0000000000000000, 20.000000000000000,
8249           10.000000000000000, 0.30000000000000004 },
8250   { 290.76717121814852, 5.0000000000000000, 20.000000000000000,
8251           10.000000000000000, 0.39999999999999991 },
8252   { 2788.1641083374830, 5.0000000000000000, 20.000000000000000,
8253           10.000000000000000, 0.50000000000000000 },
8254   { 50228.117718560752, 5.0000000000000000, 20.000000000000000,
8255           10.000000000000000, 0.60000000000000009 },
8256   { 2433042.3476752634, 5.0000000000000000, 20.000000000000000,
8257           10.000000000000000, 0.69999999999999996 },
8258   { 705345246.77141762, 5.0000000000000000, 20.000000000000000,
8259           10.000000000000000, 0.80000000000000004 },
8260   { 15652478868616.762, 5.0000000000000000, 20.000000000000000,
8261           10.000000000000000, 0.89999999999999991 },
8262 };
8263 const double toler175 = 2.5000000000000020e-13;
8264
8265 // Test data for a=10.000000000000000, b=0.0000000000000000, c=2.0000000000000000.
8266 // max(|f - f_GSL|): 0.0000000000000000
8267 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
8268 const testcase_hyperg<double>
8269 data176[19] =
8270 {
8271   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8272           2.0000000000000000, -0.90000000000000002 },
8273   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8274           2.0000000000000000, -0.80000000000000004 },
8275   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8276           2.0000000000000000, -0.69999999999999996 },
8277   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8278           2.0000000000000000, -0.59999999999999998 },
8279   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8280           2.0000000000000000, -0.50000000000000000 },
8281   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8282           2.0000000000000000, -0.40000000000000002 },
8283   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8284           2.0000000000000000, -0.30000000000000004 },
8285   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8286           2.0000000000000000, -0.19999999999999996 },
8287   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8288           2.0000000000000000, -0.099999999999999978 },
8289   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8290           2.0000000000000000, 0.0000000000000000 },
8291   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8292           2.0000000000000000, 0.10000000000000009 },
8293   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8294           2.0000000000000000, 0.19999999999999996 },
8295   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8296           2.0000000000000000, 0.30000000000000004 },
8297   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8298           2.0000000000000000, 0.39999999999999991 },
8299   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8300           2.0000000000000000, 0.50000000000000000 },
8301   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8302           2.0000000000000000, 0.60000000000000009 },
8303   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8304           2.0000000000000000, 0.69999999999999996 },
8305   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8306           2.0000000000000000, 0.80000000000000004 },
8307   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8308           2.0000000000000000, 0.89999999999999991 },
8309 };
8310 const double toler176 = 2.5000000000000020e-13;
8311
8312 // Test data for a=10.000000000000000, b=0.0000000000000000, c=4.0000000000000000.
8313 // max(|f - f_GSL|): 0.0000000000000000
8314 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
8315 const testcase_hyperg<double>
8316 data177[19] =
8317 {
8318   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8319           4.0000000000000000, -0.90000000000000002 },
8320   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8321           4.0000000000000000, -0.80000000000000004 },
8322   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8323           4.0000000000000000, -0.69999999999999996 },
8324   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8325           4.0000000000000000, -0.59999999999999998 },
8326   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8327           4.0000000000000000, -0.50000000000000000 },
8328   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8329           4.0000000000000000, -0.40000000000000002 },
8330   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8331           4.0000000000000000, -0.30000000000000004 },
8332   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8333           4.0000000000000000, -0.19999999999999996 },
8334   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8335           4.0000000000000000, -0.099999999999999978 },
8336   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8337           4.0000000000000000, 0.0000000000000000 },
8338   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8339           4.0000000000000000, 0.10000000000000009 },
8340   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8341           4.0000000000000000, 0.19999999999999996 },
8342   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8343           4.0000000000000000, 0.30000000000000004 },
8344   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8345           4.0000000000000000, 0.39999999999999991 },
8346   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8347           4.0000000000000000, 0.50000000000000000 },
8348   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8349           4.0000000000000000, 0.60000000000000009 },
8350   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8351           4.0000000000000000, 0.69999999999999996 },
8352   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8353           4.0000000000000000, 0.80000000000000004 },
8354   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8355           4.0000000000000000, 0.89999999999999991 },
8356 };
8357 const double toler177 = 2.5000000000000020e-13;
8358
8359 // Test data for a=10.000000000000000, b=0.0000000000000000, c=6.0000000000000000.
8360 // max(|f - f_GSL|): 0.0000000000000000
8361 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
8362 const testcase_hyperg<double>
8363 data178[19] =
8364 {
8365   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8366           6.0000000000000000, -0.90000000000000002 },
8367   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8368           6.0000000000000000, -0.80000000000000004 },
8369   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8370           6.0000000000000000, -0.69999999999999996 },
8371   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8372           6.0000000000000000, -0.59999999999999998 },
8373   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8374           6.0000000000000000, -0.50000000000000000 },
8375   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8376           6.0000000000000000, -0.40000000000000002 },
8377   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8378           6.0000000000000000, -0.30000000000000004 },
8379   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8380           6.0000000000000000, -0.19999999999999996 },
8381   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8382           6.0000000000000000, -0.099999999999999978 },
8383   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8384           6.0000000000000000, 0.0000000000000000 },
8385   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8386           6.0000000000000000, 0.10000000000000009 },
8387   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8388           6.0000000000000000, 0.19999999999999996 },
8389   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8390           6.0000000000000000, 0.30000000000000004 },
8391   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8392           6.0000000000000000, 0.39999999999999991 },
8393   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8394           6.0000000000000000, 0.50000000000000000 },
8395   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8396           6.0000000000000000, 0.60000000000000009 },
8397   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8398           6.0000000000000000, 0.69999999999999996 },
8399   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8400           6.0000000000000000, 0.80000000000000004 },
8401   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8402           6.0000000000000000, 0.89999999999999991 },
8403 };
8404 const double toler178 = 2.5000000000000020e-13;
8405
8406 // Test data for a=10.000000000000000, b=0.0000000000000000, c=8.0000000000000000.
8407 // max(|f - f_GSL|): 0.0000000000000000
8408 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
8409 const testcase_hyperg<double>
8410 data179[19] =
8411 {
8412   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8413           8.0000000000000000, -0.90000000000000002 },
8414   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8415           8.0000000000000000, -0.80000000000000004 },
8416   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8417           8.0000000000000000, -0.69999999999999996 },
8418   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8419           8.0000000000000000, -0.59999999999999998 },
8420   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8421           8.0000000000000000, -0.50000000000000000 },
8422   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8423           8.0000000000000000, -0.40000000000000002 },
8424   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8425           8.0000000000000000, -0.30000000000000004 },
8426   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8427           8.0000000000000000, -0.19999999999999996 },
8428   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8429           8.0000000000000000, -0.099999999999999978 },
8430   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8431           8.0000000000000000, 0.0000000000000000 },
8432   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8433           8.0000000000000000, 0.10000000000000009 },
8434   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8435           8.0000000000000000, 0.19999999999999996 },
8436   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8437           8.0000000000000000, 0.30000000000000004 },
8438   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8439           8.0000000000000000, 0.39999999999999991 },
8440   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8441           8.0000000000000000, 0.50000000000000000 },
8442   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8443           8.0000000000000000, 0.60000000000000009 },
8444   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8445           8.0000000000000000, 0.69999999999999996 },
8446   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8447           8.0000000000000000, 0.80000000000000004 },
8448   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8449           8.0000000000000000, 0.89999999999999991 },
8450 };
8451 const double toler179 = 2.5000000000000020e-13;
8452
8453 // Test data for a=10.000000000000000, b=0.0000000000000000, c=10.000000000000000.
8454 // max(|f - f_GSL|): 0.0000000000000000
8455 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
8456 const testcase_hyperg<double>
8457 data180[19] =
8458 {
8459   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8460           10.000000000000000, -0.90000000000000002 },
8461   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8462           10.000000000000000, -0.80000000000000004 },
8463   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8464           10.000000000000000, -0.69999999999999996 },
8465   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8466           10.000000000000000, -0.59999999999999998 },
8467   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8468           10.000000000000000, -0.50000000000000000 },
8469   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8470           10.000000000000000, -0.40000000000000002 },
8471   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8472           10.000000000000000, -0.30000000000000004 },
8473   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8474           10.000000000000000, -0.19999999999999996 },
8475   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8476           10.000000000000000, -0.099999999999999978 },
8477   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8478           10.000000000000000, 0.0000000000000000 },
8479   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8480           10.000000000000000, 0.10000000000000009 },
8481   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8482           10.000000000000000, 0.19999999999999996 },
8483   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8484           10.000000000000000, 0.30000000000000004 },
8485   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8486           10.000000000000000, 0.39999999999999991 },
8487   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8488           10.000000000000000, 0.50000000000000000 },
8489   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8490           10.000000000000000, 0.60000000000000009 },
8491   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8492           10.000000000000000, 0.69999999999999996 },
8493   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8494           10.000000000000000, 0.80000000000000004 },
8495   { 1.0000000000000000, 10.000000000000000, 0.0000000000000000,
8496           10.000000000000000, 0.89999999999999991 },
8497 };
8498 const double toler180 = 2.5000000000000020e-13;
8499
8500 // Test data for a=10.000000000000000, b=0.50000000000000000, c=2.0000000000000000.
8501 // max(|f - f_GSL|): 1.4901161193847656e-08
8502 // max(|f - f_GSL| / |f_GSL|): 1.8229127098648091e-15
8503 const testcase_hyperg<double>
8504 data181[19] =
8505 {
8506   { 0.37727530159464628, 10.000000000000000, 0.50000000000000000,
8507           2.0000000000000000, -0.90000000000000002 },
8508   { 0.39816010922169059, 10.000000000000000, 0.50000000000000000,
8509           2.0000000000000000, -0.80000000000000004 },
8510   { 0.42283703041362447, 10.000000000000000, 0.50000000000000000,
8511           2.0000000000000000, -0.69999999999999996 },
8512   { 0.45255640448730527, 10.000000000000000, 0.50000000000000000,
8513           2.0000000000000000, -0.59999999999999998 },
8514   { 0.48919507154431119, 10.000000000000000, 0.50000000000000000,
8515           2.0000000000000000, -0.50000000000000000 },
8516   { 0.53569358917731924, 10.000000000000000, 0.50000000000000000,
8517           2.0000000000000000, -0.40000000000000002 },
8518   { 0.59689778897029544, 10.000000000000000, 0.50000000000000000,
8519           2.0000000000000000, -0.30000000000000004 },
8520   { 0.68128587569875765, 10.000000000000000, 0.50000000000000000,
8521           2.0000000000000000, -0.19999999999999996 },
8522   { 0.80478739308790359, 10.000000000000000, 0.50000000000000000,
8523           2.0000000000000000, -0.099999999999999978 },
8524   { 1.0000000000000000, 10.000000000000000, 0.50000000000000000,
8525           2.0000000000000000, 0.0000000000000000 },
8526   { 1.3408664196153621, 10.000000000000000, 0.50000000000000000,
8527           2.0000000000000000, 0.10000000000000009 },
8528   { 2.0175364359923860, 10.000000000000000, 0.50000000000000000,
8529           2.0000000000000000, 0.19999999999999996 },
8530   { 3.6011214553736646, 10.000000000000000, 0.50000000000000000,
8531           2.0000000000000000, 0.30000000000000004 },
8532   { 8.1799429939495312, 10.000000000000000, 0.50000000000000000,
8533           2.0000000000000000, 0.39999999999999991 },
8534   { 25.644834637536000, 10.000000000000000, 0.50000000000000000,
8535           2.0000000000000000, 0.50000000000000000 },
8536   { 123.13738891597615, 10.000000000000000, 0.50000000000000000,
8537           2.0000000000000000, 0.60000000000000009 },
8538   { 1088.7122410321333, 10.000000000000000, 0.50000000000000000,
8539           2.0000000000000000, 0.69999999999999996 },
8540   { 27358.291704709951, 10.000000000000000, 0.50000000000000000,
8541           2.0000000000000000, 0.80000000000000004 },
8542   { 8174369.0266731177, 10.000000000000000, 0.50000000000000000,
8543           2.0000000000000000, 0.89999999999999991 },
8544 };
8545 const double toler181 = 2.5000000000000020e-13;
8546
8547 // Test data for a=10.000000000000000, b=0.50000000000000000, c=4.0000000000000000.
8548 // max(|f - f_GSL|): 2.0008883439004421e-11
8549 // max(|f - f_GSL| / |f_GSL|): 1.5684473872214654e-15
8550 const testcase_hyperg<double>
8551 data182[19] =
8552 {
8553   { 0.53905528308450823, 10.000000000000000, 0.50000000000000000,
8554           4.0000000000000000, -0.90000000000000002 },
8555   { 0.56235533974376162, 10.000000000000000, 0.50000000000000000,
8556           4.0000000000000000, -0.80000000000000004 },
8557   { 0.58887657983263575, 10.000000000000000, 0.50000000000000000,
8558           4.0000000000000000, -0.69999999999999996 },
8559   { 0.61941227047262937, 10.000000000000000, 0.50000000000000000,
8560           4.0000000000000000, -0.59999999999999998 },
8561   { 0.65504896640793864, 10.000000000000000, 0.50000000000000000,
8562           4.0000000000000000, -0.50000000000000000 },
8563   { 0.69731666644529977, 10.000000000000000, 0.50000000000000000,
8564           4.0000000000000000, -0.40000000000000002 },
8565   { 0.74844073299399139, 10.000000000000000, 0.50000000000000000,
8566           4.0000000000000000, -0.30000000000000004 },
8567   { 0.81178446800105830, 10.000000000000000, 0.50000000000000000,
8568           4.0000000000000000, -0.19999999999999996 },
8569   { 0.89266981277598045, 10.000000000000000, 0.50000000000000000,
8570           4.0000000000000000, -0.099999999999999978 },
8571   { 1.0000000000000000, 10.000000000000000, 0.50000000000000000,
8572           4.0000000000000000, 0.0000000000000000 },
8573   { 1.1497248473106778, 10.000000000000000, 0.50000000000000000,
8574           4.0000000000000000, 0.10000000000000009 },
8575   { 1.3729717112654571, 10.000000000000000, 0.50000000000000000,
8576           4.0000000000000000, 0.19999999999999996 },
8577   { 1.7374982340374392, 10.000000000000000, 0.50000000000000000,
8578           4.0000000000000000, 0.30000000000000004 },
8579   { 2.4134479340960580, 10.000000000000000, 0.50000000000000000,
8580           4.0000000000000000, 0.39999999999999991 },
8581   { 3.9191255240471192, 10.000000000000000, 0.50000000000000000,
8582           4.0000000000000000, 0.50000000000000000 },
8583   { 8.3316373077761270, 10.000000000000000, 0.50000000000000000,
8584           4.0000000000000000, 0.60000000000000009 },
8585   { 28.323020339843335, 10.000000000000000, 0.50000000000000000,
8586           4.0000000000000000, 0.69999999999999996 },
8587   { 225.84286572747891, 10.000000000000000, 0.50000000000000000,
8588           4.0000000000000000, 0.80000000000000004 },
8589   { 12757.127591286655, 10.000000000000000, 0.50000000000000000,
8590           4.0000000000000000, 0.89999999999999991 },
8591 };
8592 const double toler182 = 2.5000000000000020e-13;
8593
8594 // Test data for a=10.000000000000000, b=0.50000000000000000, c=6.0000000000000000.
8595 // max(|f - f_GSL|): 1.9895196601282805e-13
8596 // max(|f - f_GSL| / |f_GSL|): 1.4567107859209967e-15
8597 const testcase_hyperg<double>
8598 data183[19] =
8599 {
8600   { 0.62672622092226027, 10.000000000000000, 0.50000000000000000,
8601           6.0000000000000000, -0.90000000000000002 },
8602   { 0.64931010269769840, 10.000000000000000, 0.50000000000000000,
8603           6.0000000000000000, -0.80000000000000004 },
8604   { 0.67448067519076293, 10.000000000000000, 0.50000000000000000,
8605           6.0000000000000000, -0.69999999999999996 },
8606   { 0.70276306239803643, 10.000000000000000, 0.50000000000000000,
8607           6.0000000000000000, -0.59999999999999998 },
8608   { 0.73484179773087521, 10.000000000000000, 0.50000000000000000,
8609           6.0000000000000000, -0.50000000000000000 },
8610   { 0.77162761412743874, 10.000000000000000, 0.50000000000000000,
8611           6.0000000000000000, -0.40000000000000002 },
8612   { 0.81436116844816564, 10.000000000000000, 0.50000000000000000,
8613           6.0000000000000000, -0.30000000000000004 },
8614   { 0.86477994787944579, 10.000000000000000, 0.50000000000000000,
8615           6.0000000000000000, -0.19999999999999996 },
8616   { 0.92539820516603888, 10.000000000000000, 0.50000000000000000,
8617           6.0000000000000000, -0.099999999999999978 },
8618   { 1.0000000000000000, 10.000000000000000, 0.50000000000000000,
8619           6.0000000000000000, 0.0000000000000000 },
8620   { 1.0945599448210315, 10.000000000000000, 0.50000000000000000,
8621           6.0000000000000000, 0.10000000000000009 },
8622   { 1.2190897395597264, 10.000000000000000, 0.50000000000000000,
8623           6.0000000000000000, 0.19999999999999996 },
8624   { 1.3916844336856475, 10.000000000000000, 0.50000000000000000,
8625           6.0000000000000000, 0.30000000000000004 },
8626   { 1.6484497630432013, 10.000000000000000, 0.50000000000000000,
8627           6.0000000000000000, 0.39999999999999991 },
8628   { 2.0717772717131155, 10.000000000000000, 0.50000000000000000,
8629           6.0000000000000000, 0.50000000000000000 },
8630   { 2.8893613630810924, 10.000000000000000, 0.50000000000000000,
8631           6.0000000000000000, 0.60000000000000009 },
8632   { 4.9459404075413529, 10.000000000000000, 0.50000000000000000,
8633           6.0000000000000000, 0.69999999999999996 },
8634   { 13.487394149998716, 10.000000000000000, 0.50000000000000000,
8635           6.0000000000000000, 0.80000000000000004 },
8636   { 136.57616044013972, 10.000000000000000, 0.50000000000000000,
8637           6.0000000000000000, 0.89999999999999991 },
8638 };
8639 const double toler183 = 2.5000000000000020e-13;
8640
8641 // Test data for a=10.000000000000000, b=0.50000000000000000, c=8.0000000000000000.
8642 // max(|f - f_GSL|): 1.2434497875801753e-14
8643 // max(|f - f_GSL| / |f_GSL|): 1.3245081211977836e-15
8644 const testcase_hyperg<double>
8645 data184[19] =
8646 {
8647   { 0.68421604440344319, 10.000000000000000, 0.50000000000000000,
8648           8.0000000000000000, -0.90000000000000002 },
8649   { 0.70548098055548925, 10.000000000000000, 0.50000000000000000,
8650           8.0000000000000000, -0.80000000000000004 },
8651   { 0.72884342311710337, 10.000000000000000, 0.50000000000000000,
8652           8.0000000000000000, -0.69999999999999996 },
8653   { 0.75466953437856232, 10.000000000000000, 0.50000000000000000,
8654           8.0000000000000000, -0.59999999999999998 },
8655   { 0.78342090924662589, 10.000000000000000, 0.50000000000000000,
8656           8.0000000000000000, -0.50000000000000000 },
8657   { 0.81568884278645082, 10.000000000000000, 0.50000000000000000,
8658           8.0000000000000000, -0.40000000000000002 },
8659   { 0.85224480241465239, 10.000000000000000, 0.50000000000000000,
8660           8.0000000000000000, -0.30000000000000004 },
8661   { 0.89411692571131685, 10.000000000000000, 0.50000000000000000,
8662           8.0000000000000000, -0.19999999999999996 },
8663   { 0.94270986892954811, 10.000000000000000, 0.50000000000000000,
8664           8.0000000000000000, -0.099999999999999978 },
8665   { 1.0000000000000000, 10.000000000000000, 0.50000000000000000,
8666           8.0000000000000000, 0.0000000000000000 },
8667   { 1.0688682849120232, 10.000000000000000, 0.50000000000000000,
8668           8.0000000000000000, 0.10000000000000009 },
8669   { 1.1537004376097553, 10.000000000000000, 0.50000000000000000,
8670           8.0000000000000000, 0.19999999999999996 },
8671   { 1.2615455028370031, 10.000000000000000, 0.50000000000000000,
8672           8.0000000000000000, 0.30000000000000004 },
8673   { 1.4045541456153436, 10.000000000000000, 0.50000000000000000,
8674           8.0000000000000000, 0.39999999999999991 },
8675   { 1.6057216489444517, 10.000000000000000, 0.50000000000000000,
8676           8.0000000000000000, 0.50000000000000000 },
8677   { 1.9146603020550739, 10.000000000000000, 0.50000000000000000,
8678           8.0000000000000000, 0.60000000000000009 },
8679   { 2.4617931307620298, 10.000000000000000, 0.50000000000000000,
8680           8.0000000000000000, 0.69999999999999996 },
8681   { 3.7267799624996498, 10.000000000000000, 0.50000000000000000,
8682           8.0000000000000000, 0.80000000000000004 },
8683   { 9.3880118036248401, 10.000000000000000, 0.50000000000000000,
8684           8.0000000000000000, 0.89999999999999991 },
8685 };
8686 const double toler184 = 2.5000000000000020e-13;
8687
8688 // Test data for a=10.000000000000000, b=0.50000000000000000, c=10.000000000000000.
8689 // max(|f - f_GSL|): 4.4408920985006262e-16
8690 // max(|f - f_GSL| / |f_GSL|): 1.5700924586837752e-16
8691 const testcase_hyperg<double>
8692 data185[19] =
8693 {
8694   { 0.72547625011001171, 10.000000000000000, 0.50000000000000000,
8695           10.000000000000000, -0.90000000000000002 },
8696   { 0.74535599249992990, 10.000000000000000, 0.50000000000000000,
8697           10.000000000000000, -0.80000000000000004 },
8698   { 0.76696498884737041, 10.000000000000000, 0.50000000000000000,
8699           10.000000000000000, -0.69999999999999996 },
8700   { 0.79056941504209477, 10.000000000000000, 0.50000000000000000,
8701           10.000000000000000, -0.59999999999999998 },
8702   { 0.81649658092772603, 10.000000000000000, 0.50000000000000000,
8703           10.000000000000000, -0.50000000000000000 },
8704   { 0.84515425472851657, 10.000000000000000, 0.50000000000000000,
8705           10.000000000000000, -0.40000000000000002 },
8706   { 0.87705801930702920, 10.000000000000000, 0.50000000000000000,
8707           10.000000000000000, -0.30000000000000004 },
8708   { 0.91287092917527690, 10.000000000000000, 0.50000000000000000,
8709           10.000000000000000, -0.19999999999999996 },
8710   { 0.95346258924559224, 10.000000000000000, 0.50000000000000000,
8711           10.000000000000000, -0.099999999999999978 },
8712   { 1.0000000000000000, 10.000000000000000, 0.50000000000000000,
8713           10.000000000000000, 0.0000000000000000 },
8714   { 1.0540925533894598, 10.000000000000000, 0.50000000000000000,
8715           10.000000000000000, 0.10000000000000009 },
8716   { 1.1180339887498949, 10.000000000000000, 0.50000000000000000,
8717           10.000000000000000, 0.19999999999999996 },
8718   { 1.1952286093343938, 10.000000000000000, 0.50000000000000000,
8719           10.000000000000000, 0.30000000000000004 },
8720   { 1.2909944487358056, 10.000000000000000, 0.50000000000000000,
8721           10.000000000000000, 0.39999999999999991 },
8722   { 1.4142135623730949, 10.000000000000000, 0.50000000000000000,
8723           10.000000000000000, 0.50000000000000000 },
8724   { 1.5811388300841900, 10.000000000000000, 0.50000000000000000,
8725           10.000000000000000, 0.60000000000000009 },
8726   { 1.8257418583505536, 10.000000000000000, 0.50000000000000000,
8727           10.000000000000000, 0.69999999999999996 },
8728   { 2.2360679774997898, 10.000000000000000, 0.50000000000000000,
8729           10.000000000000000, 0.80000000000000004 },
8730   { 3.1622776601683782, 10.000000000000000, 0.50000000000000000,
8731           10.000000000000000, 0.89999999999999991 },
8732 };
8733 const double toler185 = 2.5000000000000020e-13;
8734
8735 // Test data for a=10.000000000000000, b=1.0000000000000000, c=2.0000000000000000.
8736 // max(|f - f_GSL|): 2.0861625671386719e-07
8737 // max(|f - f_GSL| / |f_GSL|): 1.6897916810721311e-15
8738 const testcase_hyperg<double>
8739 data186[19] =
8740 {
8741   { 0.12307420104127866, 10.000000000000000, 1.0000000000000000,
8742           2.0000000000000000, -0.90000000000000002 },
8743   { 0.13818870041457434, 10.000000000000000, 1.0000000000000000,
8744           2.0000000000000000, -0.80000000000000004 },
8745   { 0.15739165631811705, 10.000000000000000, 1.0000000000000000,
8746           2.0000000000000000, -0.69999999999999996 },
8747   { 0.18249038606882081, 10.000000000000000, 1.0000000000000000,
8748           2.0000000000000000, -0.59999999999999998 },
8749   { 0.21644171225027795, 10.000000000000000, 1.0000000000000000,
8750           2.0000000000000000, -0.50000000000000000 },
8751   { 0.26433326159804132, 10.000000000000000, 1.0000000000000000,
8752           2.0000000000000000, -0.40000000000000002 },
8753   { 0.33544459430654539, 10.000000000000000, 1.0000000000000000,
8754           2.0000000000000000, -0.30000000000000004 },
8755   { 0.44788516696232511, 10.000000000000000, 1.0000000000000000,
8756           2.0000000000000000, -0.19999999999999996 },
8757   { 0.63989153514168373, 10.000000000000000, 1.0000000000000000,
8758           2.0000000000000000, -0.099999999999999978 },
8759   { 1.0000000000000000, 10.000000000000000, 1.0000000000000000,
8760           2.0000000000000000, 0.0000000000000000 },
8761   { 1.7568608796813312, 10.000000000000000, 1.0000000000000000,
8762           2.0000000000000000, 0.10000000000000009 },
8763   { 3.5836558871799027, 10.000000000000000, 1.0000000000000000,
8764           2.0000000000000000, 0.19999999999999996 },
8765   { 8.8077526749963226, 10.000000000000000, 1.0000000000000000,
8766           2.0000000000000000, 0.30000000000000004 },
8767   { 27.285841702089190, 10.000000000000000, 1.0000000000000000,
8768           2.0000000000000000, 0.39999999999999991 },
8769   { 113.55555555555557, 10.000000000000000, 1.0000000000000000,
8770           2.0000000000000000, 0.50000000000000000 },
8771   { 706.24023437500091, 10.000000000000000, 1.0000000000000000,
8772           2.0000000000000000, 0.60000000000000009 },
8773   { 8064.1687976651992, 10.000000000000000, 1.0000000000000000,
8774           2.0000000000000000, 0.69999999999999996 },
8775   { 271267.22222222196, 10.000000000000000, 1.0000000000000000,
8776           2.0000000000000000, 0.80000000000000004 },
8777   { 123456789.99999890, 10.000000000000000, 1.0000000000000000,
8778           2.0000000000000000, 0.89999999999999991 },
8779 };
8780 const double toler186 = 2.5000000000000020e-13;
8781
8782 // Test data for a=10.000000000000000, b=1.0000000000000000, c=4.0000000000000000.
8783 // max(|f - f_GSL|): 2.6193447411060333e-10
8784 // max(|f - f_GSL| / |f_GSL|): 1.6039867544159931e-15
8785 const testcase_hyperg<double>
8786 data187[19] =
8787 {
8788   { 0.28363728383055781, 10.000000000000000, 1.0000000000000000,
8789           4.0000000000000000, -0.90000000000000002 },
8790   { 0.30933003169808387, 10.000000000000000, 1.0000000000000000,
8791           4.0000000000000000, -0.80000000000000004 },
8792   { 0.33998437757128797, 10.000000000000000, 1.0000000000000000,
8793           4.0000000000000000, -0.69999999999999996 },
8794   { 0.37713553224291113, 10.000000000000000, 1.0000000000000000,
8795           4.0000000000000000, -0.59999999999999998 },
8796   { 0.42299736538419669, 10.000000000000000, 1.0000000000000000,
8797           4.0000000000000000, -0.50000000000000000 },
8798   { 0.48086597727600067, 10.000000000000000, 1.0000000000000000,
8799           4.0000000000000000, -0.40000000000000002 },
8800   { 0.55583495759293045, 10.000000000000000, 1.0000000000000000,
8801           4.0000000000000000, -0.30000000000000004 },
8802   { 0.65612850114039678, 10.000000000000000, 1.0000000000000000,
8803           4.0000000000000000, -0.19999999999999996 },
8804   { 0.79573668772968142, 10.000000000000000, 1.0000000000000000,
8805           4.0000000000000000, -0.099999999999999978 },
8806   { 1.0000000000000000, 10.000000000000000, 1.0000000000000000,
8807           4.0000000000000000, 0.0000000000000000 },
8808   { 1.3184712058058303, 10.000000000000000, 1.0000000000000000,
8809           4.0000000000000000, 0.10000000000000009 },
8810   { 1.8576958065941214, 10.000000000000000, 1.0000000000000000,
8811           4.0000000000000000, 0.19999999999999996 },
8812   { 2.8759509651764228, 10.000000000000000, 1.0000000000000000,
8813           4.0000000000000000, 0.30000000000000004 },
8814   { 5.1046225531822182, 10.000000000000000, 1.0000000000000000,
8815           4.0000000000000000, 0.39999999999999991 },
8816   { 11.095238095238095, 10.000000000000000, 1.0000000000000000,
8817           4.0000000000000000, 0.50000000000000000 },
8818   { 32.797154017857174, 10.000000000000000, 1.0000000000000000,
8819           4.0000000000000000, 0.60000000000000009 },
8820   { 158.01935680536477, 10.000000000000000, 1.0000000000000000,
8821           4.0000000000000000, 0.69999999999999996 },
8822   { 1815.9523809523814, 10.000000000000000, 1.0000000000000000,
8823           4.0000000000000000, 0.80000000000000004 },
8824   { 163302.14285714156, 10.000000000000000, 1.0000000000000000,
8825           4.0000000000000000, 0.89999999999999991 },
8826 };
8827 const double toler187 = 2.5000000000000020e-13;
8828
8829 // Test data for a=10.000000000000000, b=1.0000000000000000, c=6.0000000000000000.
8830 // max(|f - f_GSL|): 2.0463630789890885e-12
8831 // max(|f - f_GSL| / |f_GSL|): 1.5238873992472010e-15
8832 const testcase_hyperg<double>
8833 data188[19] =
8834 {
8835   { 0.39006633302741811, 10.000000000000000, 1.0000000000000000,
8836           6.0000000000000000, -0.90000000000000002 },
8837   { 0.41898885698103278, 10.000000000000000, 1.0000000000000000,
8838           6.0000000000000000, -0.80000000000000004 },
8839   { 0.45245557983812590, 10.000000000000000, 1.0000000000000000,
8840           6.0000000000000000, -0.69999999999999996 },
8841   { 0.49160548618861627, 10.000000000000000, 1.0000000000000000,
8842           6.0000000000000000, -0.59999999999999998 },
8843   { 0.53798419230517991, 10.000000000000000, 1.0000000000000000,
8844           6.0000000000000000, -0.50000000000000000 },
8845   { 0.59373881442067322, 10.000000000000000, 1.0000000000000000,
8846           6.0000000000000000, -0.40000000000000002 },
8847   { 0.66193391357076126, 10.000000000000000, 1.0000000000000000,
8848           6.0000000000000000, -0.30000000000000004 },
8849   { 0.74708402736952118, 10.000000000000000, 1.0000000000000000,
8850           6.0000000000000000, -0.19999999999999996 },
8851   { 0.85609281019430605, 10.000000000000000, 1.0000000000000000,
8852           6.0000000000000000, -0.099999999999999978 },
8853   { 1.0000000000000000, 10.000000000000000, 1.0000000000000000,
8854           6.0000000000000000, 0.0000000000000000 },
8855   { 1.1974451135148187, 10.000000000000000, 1.0000000000000000,
8856           6.0000000000000000, 0.10000000000000009 },
8857   { 1.4820886036706347, 10.000000000000000, 1.0000000000000000,
8858           6.0000000000000000, 0.19999999999999996 },
8859   { 1.9201183180477521, 10.000000000000000, 1.0000000000000000,
8860           6.0000000000000000, 0.30000000000000004 },
8861   { 2.6569338297733336, 10.000000000000000, 1.0000000000000000,
8862           6.0000000000000000, 0.39999999999999991 },
8863   { 4.0634920634920650, 10.000000000000000, 1.0000000000000000,
8864           6.0000000000000000, 0.50000000000000000 },
8865   { 7.3102678571428568, 10.000000000000000, 1.0000000000000000,
8866           6.0000000000000000, 0.60000000000000009 },
8867   { 17.512574302697733, 10.000000000000000, 1.0000000000000000,
8868           6.0000000000000000, 0.69999999999999996 },
8869   { 74.206349206349131, 10.000000000000000, 1.0000000000000000,
8870           6.0000000000000000, 0.80000000000000004 },
8871   { 1342.8571428571363, 10.000000000000000, 1.0000000000000000,
8872           6.0000000000000000, 0.89999999999999991 },
8873 };
8874 const double toler188 = 2.5000000000000020e-13;
8875
8876 // Test data for a=10.000000000000000, b=1.0000000000000000, c=8.0000000000000000.
8877 // max(|f - f_GSL|): 7.8159700933611020e-14
8878 // max(|f - f_GSL| / |f_GSL|): 1.4210854715202060e-15
8879 const testcase_hyperg<double>
8880 data189[19] =
8881 {
8882   { 0.46726928123633210, 10.000000000000000, 1.0000000000000000,
8883           8.0000000000000000, -0.90000000000000002 },
8884   { 0.49687547629934464, 10.000000000000000, 1.0000000000000000,
8885           8.0000000000000000, -0.80000000000000004 },
8886   { 0.53045208856322223, 10.000000000000000, 1.0000000000000000,
8887           8.0000000000000000, -0.69999999999999996 },
8888   { 0.56884765624999989, 10.000000000000000, 1.0000000000000000,
8889           8.0000000000000000, -0.59999999999999998 },
8890   { 0.61316872427983504, 10.000000000000000, 1.0000000000000000,
8891           8.0000000000000000, -0.50000000000000000 },
8892   { 0.66488500161969566, 10.000000000000000, 1.0000000000000000,
8893           8.0000000000000000, -0.40000000000000002 },
8894   { 0.72598998634501577, 10.000000000000000, 1.0000000000000000,
8895           8.0000000000000000, -0.30000000000000004 },
8896   { 0.79925411522633760, 10.000000000000000, 1.0000000000000000,
8897           8.0000000000000000, -0.19999999999999996 },
8898   { 0.88863845062192182, 10.000000000000000, 1.0000000000000000,
8899           8.0000000000000000, -0.099999999999999978 },
8900   { 1.0000000000000000, 10.000000000000000, 1.0000000000000000,
8901           8.0000000000000000, 0.0000000000000000 },
8902   { 1.1423563481176653, 10.000000000000000, 1.0000000000000000,
8903           8.0000000000000000, 0.10000000000000009 },
8904   { 1.3302951388888888, 10.000000000000000, 1.0000000000000000,
8905           8.0000000000000000, 0.19999999999999996 },
8906   { 1.5889212827988335, 10.000000000000000, 1.0000000000000000,
8907           8.0000000000000000, 0.30000000000000004 },
8908   { 1.9650205761316870, 10.000000000000000, 1.0000000000000000,
8909           8.0000000000000000, 0.39999999999999991 },
8910   { 2.5555555555555549, 10.000000000000000, 1.0000000000000000,
8911           8.0000000000000000, 0.50000000000000000 },
8912   { 3.5937500000000013, 10.000000000000000, 1.0000000000000000,
8913           8.0000000000000000, 0.60000000000000009 },
8914   { 5.7818930041152203, 10.000000000000000, 1.0000000000000000,
8915           8.0000000000000000, 0.69999999999999996 },
8916   { 12.222222222222220, 10.000000000000000, 1.0000000000000000,
8917           8.0000000000000000, 0.80000000000000004 },
8918   { 54.999999999999780, 10.000000000000000, 1.0000000000000000,
8919           8.0000000000000000, 0.89999999999999991 },
8920 };
8921 const double toler189 = 2.5000000000000020e-13;
8922
8923 // Test data for a=10.000000000000000, b=1.0000000000000000, c=10.000000000000000.
8924 // max(|f - f_GSL|): 1.7763568394002505e-15
8925 // max(|f - f_GSL| / |f_GSL|): 2.1094237467877971e-16
8926 const testcase_hyperg<double>
8927 data190[19] =
8928 {
8929   { 0.52631578947368429, 10.000000000000000, 1.0000000000000000,
8930           10.000000000000000, -0.90000000000000002 },
8931   { 0.55555555555555558, 10.000000000000000, 1.0000000000000000,
8932           10.000000000000000, -0.80000000000000004 },
8933   { 0.58823529411764708, 10.000000000000000, 1.0000000000000000,
8934           10.000000000000000, -0.69999999999999996 },
8935   { 0.62500000000000000, 10.000000000000000, 1.0000000000000000,
8936           10.000000000000000, -0.59999999999999998 },
8937   { 0.66666666666666663, 10.000000000000000, 1.0000000000000000,
8938           10.000000000000000, -0.50000000000000000 },
8939   { 0.71428571428571430, 10.000000000000000, 1.0000000000000000,
8940           10.000000000000000, -0.40000000000000002 },
8941   { 0.76923076923076927, 10.000000000000000, 1.0000000000000000,
8942           10.000000000000000, -0.30000000000000004 },
8943   { 0.83333333333333337, 10.000000000000000, 1.0000000000000000,
8944           10.000000000000000, -0.19999999999999996 },
8945   { 0.90909090909090906, 10.000000000000000, 1.0000000000000000,
8946           10.000000000000000, -0.099999999999999978 },
8947   { 1.0000000000000000, 10.000000000000000, 1.0000000000000000,
8948           10.000000000000000, 0.0000000000000000 },
8949   { 1.1111111111111112, 10.000000000000000, 1.0000000000000000,
8950           10.000000000000000, 0.10000000000000009 },
8951   { 1.2500000000000000, 10.000000000000000, 1.0000000000000000,
8952           10.000000000000000, 0.19999999999999996 },
8953   { 1.4285714285714286, 10.000000000000000, 1.0000000000000000,
8954           10.000000000000000, 0.30000000000000004 },
8955   { 1.6666666666666663, 10.000000000000000, 1.0000000000000000,
8956           10.000000000000000, 0.39999999999999991 },
8957   { 2.0000000000000000, 10.000000000000000, 1.0000000000000000,
8958           10.000000000000000, 0.50000000000000000 },
8959   { 2.5000000000000004, 10.000000000000000, 1.0000000000000000,
8960           10.000000000000000, 0.60000000000000009 },
8961   { 3.3333333333333330, 10.000000000000000, 1.0000000000000000,
8962           10.000000000000000, 0.69999999999999996 },
8963   { 5.0000000000000009, 10.000000000000000, 1.0000000000000000,
8964           10.000000000000000, 0.80000000000000004 },
8965   { 9.9999999999999929, 10.000000000000000, 1.0000000000000000,
8966           10.000000000000000, 0.89999999999999991 },
8967 };
8968 const double toler190 = 2.5000000000000020e-13;
8969
8970 // Test data for a=10.000000000000000, b=2.0000000000000000, c=2.0000000000000000.
8971 // max(|f - f_GSL|): 2.2888183593750000e-05
8972 // max(|f - f_GSL| / |f_GSL|): 2.8610229492187516e-15
8973 const testcase_hyperg<double>
8974 data191[19] =
8975 {
8976   { 0.0016310376661280216, 10.000000000000000, 2.0000000000000000,
8977           2.0000000000000000, -0.90000000000000002 },
8978   { 0.0028007538972582421, 10.000000000000000, 2.0000000000000000,
8979           2.0000000000000000, -0.80000000000000004 },
8980   { 0.0049603324681551939, 10.000000000000000, 2.0000000000000000,
8981           2.0000000000000000, -0.69999999999999996 },
8982   { 0.0090949470177292789, 10.000000000000000, 2.0000000000000000,
8983           2.0000000000000000, -0.59999999999999998 },
8984   { 0.017341529915832606, 10.000000000000000, 2.0000000000000000,
8985           2.0000000000000000, -0.50000000000000000 },
8986   { 0.034571613033607777, 10.000000000000000, 2.0000000000000000,
8987           2.0000000000000000, -0.40000000000000002 },
8988   { 0.072538150286405714, 10.000000000000000, 2.0000000000000000,
8989           2.0000000000000000, -0.30000000000000004 },
8990   { 0.16150558288984579, 10.000000000000000, 2.0000000000000000,
8991           2.0000000000000000, -0.19999999999999996 },
8992   { 0.38554328942953148, 10.000000000000000, 2.0000000000000000,
8993           2.0000000000000000, -0.099999999999999978 },
8994   { 1.0000000000000000, 10.000000000000000, 2.0000000000000000,
8995           2.0000000000000000, 0.0000000000000000 },
8996   { 2.8679719907924444, 10.000000000000000, 2.0000000000000000,
8997           2.0000000000000000, 0.10000000000000009 },
8998   { 9.3132257461547816, 10.000000000000000, 2.0000000000000000,
8999           2.0000000000000000, 0.19999999999999996 },
9000   { 35.401331746414378, 10.000000000000000, 2.0000000000000000,
9001           2.0000000000000000, 0.30000000000000004 },
9002   { 165.38171687920172, 10.000000000000000, 2.0000000000000000,
9003           2.0000000000000000, 0.39999999999999991 },
9004   { 1024.0000000000000, 10.000000000000000, 2.0000000000000000,
9005           2.0000000000000000, 0.50000000000000000 },
9006   { 9536.7431640625200, 10.000000000000000, 2.0000000000000000,
9007           2.0000000000000000, 0.60000000000000009 },
9008   { 169350.87808430271, 10.000000000000000, 2.0000000000000000,
9009           2.0000000000000000, 0.69999999999999996 },
9010   { 9765624.9999999944, 10.000000000000000, 2.0000000000000000,
9011           2.0000000000000000, 0.80000000000000004 },
9012   { 9999999999.9999332, 10.000000000000000, 2.0000000000000000,
9013           2.0000000000000000, 0.89999999999999991 },
9014 };
9015 const double toler191 = 2.5000000000000020e-13;
9016
9017 // Test data for a=10.000000000000000, b=2.0000000000000000, c=4.0000000000000000.
9018 // max(|f - f_GSL|): 1.4901161193847656e-08
9019 // max(|f - f_GSL| / |f_GSL|): 1.4958811384436855e-15
9020 const testcase_hyperg<double>
9021 data192[19] =
9022 {
9023   { 0.071191280690193537, 10.000000000000000, 2.0000000000000000,
9024           4.0000000000000000, -0.90000000000000002 },
9025   { 0.085646504654238384, 10.000000000000000, 2.0000000000000000,
9026           4.0000000000000000, -0.80000000000000004 },
9027   { 0.10478215656371109, 10.000000000000000, 2.0000000000000000,
9028           4.0000000000000000, -0.69999999999999996 },
9029   { 0.13074816337653578, 10.000000000000000, 2.0000000000000000,
9030           4.0000000000000000, -0.59999999999999998 },
9031   { 0.16701141666848118, 10.000000000000000, 2.0000000000000000,
9032           4.0000000000000000, -0.50000000000000000 },
9033   { 0.21939323375313968, 10.000000000000000, 2.0000000000000000,
9034           4.0000000000000000, -0.40000000000000002 },
9035   { 0.29813515331786616, 10.000000000000000, 2.0000000000000000,
9036           4.0000000000000000, -0.30000000000000004 },
9037   { 0.42225974638874397, 10.000000000000000, 2.0000000000000000,
9038           4.0000000000000000, -0.19999999999999996 },
9039   { 0.62942145962174878, 10.000000000000000, 2.0000000000000000,
9040           4.0000000000000000, -0.099999999999999978 },
9041   { 1.0000000000000000, 10.000000000000000, 2.0000000000000000,
9042           4.0000000000000000, 0.0000000000000000 },
9043   { 1.7218685262373197, 10.000000000000000, 2.0000000000000000,
9044           4.0000000000000000, 0.10000000000000009 },
9045   { 3.2855760483514689, 10.000000000000000, 2.0000000000000000,
9046           4.0000000000000000, 0.19999999999999996 },
9047   { 7.1616652508907093, 10.000000000000000, 2.0000000000000000,
9048           4.0000000000000000, 0.30000000000000004 },
9049   { 18.612326808485907, 10.000000000000000, 2.0000000000000000,
9050           4.0000000000000000, 0.39999999999999991 },
9051   { 61.476190476190474, 10.000000000000000, 2.0000000000000000,
9052           4.0000000000000000, 0.50000000000000000 },
9053   { 286.27580915178623, 10.000000000000000, 2.0000000000000000,
9054           4.0000000000000000, 0.60000000000000009 },
9055   { 2274.9441142102296, 10.000000000000000, 2.0000000000000000,
9056           4.0000000000000000, 0.69999999999999996 },
9057   { 47229.761904761865, 10.000000000000000, 2.0000000000000000,
9058           4.0000000000000000, 0.80000000000000004 },
9059   { 9961460.7142856438, 10.000000000000000, 2.0000000000000000,
9060           4.0000000000000000, 0.89999999999999991 },
9061 };
9062 const double toler192 = 2.5000000000000020e-13;
9063
9064 // Test data for a=10.000000000000000, b=2.0000000000000000, c=6.0000000000000000.
9065 // max(|f - f_GSL|): 8.7311491370201111e-11
9066 // max(|f - f_GSL| / |f_GSL|): 1.5843951771650368e-15
9067 const testcase_hyperg<double>
9068 data193[19] =
9069 {
9070   { 0.14747230019381058, 10.000000000000000, 2.0000000000000000,
9071           6.0000000000000000, -0.90000000000000002 },
9072   { 0.17073600100690609, 10.000000000000000, 2.0000000000000000,
9073           6.0000000000000000, -0.80000000000000004 },
9074   { 0.19982795745135354, 10.000000000000000, 2.0000000000000000,
9075           6.0000000000000000, -0.69999999999999996 },
9076   { 0.23681776864188053, 10.000000000000000, 2.0000000000000000,
9077           6.0000000000000000, -0.59999999999999998 },
9078   { 0.28475624360398011, 10.000000000000000, 2.0000000000000000,
9079           6.0000000000000000, -0.50000000000000000 },
9080   { 0.34827500743063133, 10.000000000000000, 2.0000000000000000,
9081           6.0000000000000000, -0.40000000000000002 },
9082   { 0.43464829159684687, 10.000000000000000, 2.0000000000000000,
9083           6.0000000000000000, -0.30000000000000004 },
9084   { 0.55576053438064787, 10.000000000000000, 2.0000000000000000,
9085           6.0000000000000000, -0.19999999999999996 },
9086   { 0.73195020913445530, 10.000000000000000, 2.0000000000000000,
9087           6.0000000000000000, -0.099999999999999978 },
9088   { 1.0000000000000000, 10.000000000000000, 2.0000000000000000,
9089           6.0000000000000000, 0.0000000000000000 },
9090   { 1.4310223867822929, 10.000000000000000, 2.0000000000000000,
9091           6.0000000000000000, 0.10000000000000009 },
9092   { 2.1742563399057540, 10.000000000000000, 2.0000000000000000,
9093           6.0000000000000000, 0.19999999999999996 },
9094   { 3.5769231236256043, 10.000000000000000, 2.0000000000000000,
9095           6.0000000000000000, 0.30000000000000004 },
9096   { 6.5620441134844363, 10.000000000000000, 2.0000000000000000,
9097           6.0000000000000000, 0.39999999999999991 },
9098   { 14.063492063492063, 10.000000000000000, 2.0000000000000000,
9099           6.0000000000000000, 0.50000000000000000 },
9100   { 38.085937500000036, 10.000000000000000, 2.0000000000000000,
9101           6.0000000000000000, 0.60000000000000009 },
9102   { 150.92973632068282, 10.000000000000000, 2.0000000000000000,
9103           6.0000000000000000, 0.69999999999999996 },
9104   { 1212.3015873015852, 10.000000000000000, 2.0000000000000000,
9105           6.0000000000000000, 0.80000000000000004 },
9106   { 55107.142857142389, 10.000000000000000, 2.0000000000000000,
9107           6.0000000000000000, 0.89999999999999991 },
9108 };
9109 const double toler193 = 2.5000000000000020e-13;
9110
9111 // Test data for a=10.000000000000000, b=2.0000000000000000, c=8.0000000000000000.
9112 // max(|f - f_GSL|): 1.8189894035458565e-12
9113 // max(|f - f_GSL| / |f_GSL|): 1.4848893090170350e-15
9114 const testcase_hyperg<double>
9115 data194[19] =
9116 {
9117   { 0.21658059714090577, 10.000000000000000, 2.0000000000000000,
9118           8.0000000000000000, -0.90000000000000002 },
9119   { 0.24513539602702861, 10.000000000000000, 2.0000000000000000,
9120           8.0000000000000000, -0.80000000000000004 },
9121   { 0.27967018274845046, 10.000000000000000, 2.0000000000000000,
9122           8.0000000000000000, -0.69999999999999996 },
9123   { 0.32196044921875022, 10.000000000000000, 2.0000000000000000,
9124           8.0000000000000000, -0.59999999999999998 },
9125   { 0.37448559670781911, 10.000000000000000, 2.0000000000000000,
9126           8.0000000000000000, -0.50000000000000000 },
9127   { 0.44078856032208824, 10.000000000000000, 2.0000000000000000,
9128           8.0000000000000000, -0.40000000000000002 },
9129   { 0.52606701446027793, 10.000000000000000, 2.0000000000000000,
9130           8.0000000000000000, -0.30000000000000004 },
9131   { 0.63818158436213956, 10.000000000000000, 2.0000000000000000,
9132           8.0000000000000000, -0.19999999999999996 },
9133   { 0.78944971882612769, 10.000000000000000, 2.0000000000000000,
9134           8.0000000000000000, -0.099999999999999978 },
9135   { 1.0000000000000000, 10.000000000000000, 2.0000000000000000,
9136           8.0000000000000000, 0.0000000000000000 },
9137   { 1.3044251384443430, 10.000000000000000, 2.0000000000000000,
9138           8.0000000000000000, 0.10000000000000009 },
9139   { 1.7659505208333335, 10.000000000000000, 2.0000000000000000,
9140           8.0000000000000000, 0.19999999999999996 },
9141   { 2.5093710953769270, 10.000000000000000, 2.0000000000000000,
9142           8.0000000000000000, 0.30000000000000004 },
9143   { 3.8065843621399158, 10.000000000000000, 2.0000000000000000,
9144           8.0000000000000000, 0.39999999999999991 },
9145   { 6.3333333333333313, 10.000000000000000, 2.0000000000000000,
9146           8.0000000000000000, 0.50000000000000000 },
9147   { 12.109375000000004, 10.000000000000000, 2.0000000000000000,
9148           8.0000000000000000, 0.60000000000000009 },
9149   { 29.115226337448540, 10.000000000000000, 2.0000000000000000,
9150           8.0000000000000000, 0.69999999999999996 },
9151   { 108.33333333333330, 10.000000000000000, 2.0000000000000000,
9152           8.0000000000000000, 0.80000000000000004 },
9153   { 1224.9999999999923, 10.000000000000000, 2.0000000000000000,
9154           8.0000000000000000, 0.89999999999999991 },
9155 };
9156 const double toler194 = 2.5000000000000020e-13;
9157
9158 // Test data for a=10.000000000000000, b=2.0000000000000000, c=10.000000000000000.
9159 // max(|f - f_GSL|): 4.2632564145606011e-14
9160 // max(|f - f_GSL| / |f_GSL|): 4.2632564145606064e-16
9161 const testcase_hyperg<double>
9162 data195[19] =
9163 {
9164   { 0.27700831024930750, 10.000000000000000, 2.0000000000000000,
9165           10.000000000000000, -0.90000000000000002 },
9166   { 0.30864197530864196, 10.000000000000000, 2.0000000000000000,
9167           10.000000000000000, -0.80000000000000004 },
9168   { 0.34602076124567477, 10.000000000000000, 2.0000000000000000,
9169           10.000000000000000, -0.69999999999999996 },
9170   { 0.39062499999999994, 10.000000000000000, 2.0000000000000000,
9171           10.000000000000000, -0.59999999999999998 },
9172   { 0.44444444444444442, 10.000000000000000, 2.0000000000000000,
9173           10.000000000000000, -0.50000000000000000 },
9174   { 0.51020408163265307, 10.000000000000000, 2.0000000000000000,
9175           10.000000000000000, -0.40000000000000002 },
9176   { 0.59171597633136097, 10.000000000000000, 2.0000000000000000,
9177           10.000000000000000, -0.30000000000000004 },
9178   { 0.69444444444444453, 10.000000000000000, 2.0000000000000000,
9179           10.000000000000000, -0.19999999999999996 },
9180   { 0.82644628099173545, 10.000000000000000, 2.0000000000000000,
9181           10.000000000000000, -0.099999999999999978 },
9182   { 1.0000000000000000, 10.000000000000000, 2.0000000000000000,
9183           10.000000000000000, 0.0000000000000000 },
9184   { 1.2345679012345681, 10.000000000000000, 2.0000000000000000,
9185           10.000000000000000, 0.10000000000000009 },
9186   { 1.5624999999999998, 10.000000000000000, 2.0000000000000000,
9187           10.000000000000000, 0.19999999999999996 },
9188   { 2.0408163265306127, 10.000000000000000, 2.0000000000000000,
9189           10.000000000000000, 0.30000000000000004 },
9190   { 2.7777777777777768, 10.000000000000000, 2.0000000000000000,
9191           10.000000000000000, 0.39999999999999991 },
9192   { 4.0000000000000000, 10.000000000000000, 2.0000000000000000,
9193           10.000000000000000, 0.50000000000000000 },
9194   { 6.2500000000000036, 10.000000000000000, 2.0000000000000000,
9195           10.000000000000000, 0.60000000000000009 },
9196   { 11.111111111111109, 10.000000000000000, 2.0000000000000000,
9197           10.000000000000000, 0.69999999999999996 },
9198   { 25.000000000000007, 10.000000000000000, 2.0000000000000000,
9199           10.000000000000000, 0.80000000000000004 },
9200   { 99.999999999999872, 10.000000000000000, 2.0000000000000000,
9201           10.000000000000000, 0.89999999999999991 },
9202 };
9203 const double toler195 = 2.5000000000000020e-13;
9204
9205 // Test data for a=10.000000000000000, b=5.0000000000000000, c=2.0000000000000000.
9206 // max(|f - f_GSL|): 0.81250000000000000
9207 // max(|f - f_GSL| / |f_GSL|): 1.8182428501096805e-15
9208 const testcase_hyperg<double>
9209 data196[19] =
9210 {
9211   { 0.00063586451658060813, 10.000000000000000, 5.0000000000000000,
9212           2.0000000000000000, -0.90000000000000002 },
9213   { 0.0010334743461763829, 10.000000000000000, 5.0000000000000000,
9214           2.0000000000000000, -0.80000000000000004 },
9215   { 0.0015326246054669763, 10.000000000000000, 5.0000000000000000,
9216           2.0000000000000000, -0.69999999999999996 },
9217   { 0.0019007018181583513, 10.000000000000000, 5.0000000000000000,
9218           2.0000000000000000, -0.59999999999999998 },
9219   { 0.0012845577715431562, 10.000000000000000, 5.0000000000000000,
9220           2.0000000000000000, -0.50000000000000000 },
9221   { -0.0027213806178057538, 10.000000000000000, 5.0000000000000000,
9222           2.0000000000000000, -0.40000000000000002 },
9223   { -0.015121744574954058, 10.000000000000000, 5.0000000000000000,
9224           2.0000000000000000, -0.30000000000000004 },
9225   { -0.036637840562974290, 10.000000000000000, 5.0000000000000000,
9226           2.0000000000000000, -0.19999999999999996 },
9227   { 0.019117849062621605, 10.000000000000000, 5.0000000000000000,
9228           2.0000000000000000, -0.099999999999999978 },
9229   { 1.0000000000000000, 10.000000000000000, 5.0000000000000000,
9230           2.0000000000000000, 0.0000000000000000 },
9231   { 9.8116901852350615, 10.000000000000000, 5.0000000000000000,
9232           2.0000000000000000, 0.10000000000000009 },
9233   { 84.255589172244044, 10.000000000000000, 5.0000000000000000,
9234           2.0000000000000000, 0.19999999999999996 },
9235   { 773.87517619421294, 10.000000000000000, 5.0000000000000000,
9236           2.0000000000000000, 0.30000000000000004 },
9237   { 8556.9725363053585, 10.000000000000000, 5.0000000000000000,
9238           2.0000000000000000, 0.39999999999999991 },
9239   { 129023.99999999996, 10.000000000000000, 5.0000000000000000,
9240           2.0000000000000000, 0.50000000000000000 },
9241   { 3174543.3807373112, 10.000000000000000, 5.0000000000000000,
9242           2.0000000000000000, 0.60000000000000009 },
9243   { 175133896.95814410, 10.000000000000000, 5.0000000000000000,
9244           2.0000000000000000, 0.69999999999999996 },
9245   { 43564453125.000061, 10.000000000000000, 5.0000000000000000,
9246           2.0000000000000000, 0.80000000000000004 },
9247   { 446859999999993.50, 10.000000000000000, 5.0000000000000000,
9248           2.0000000000000000, 0.89999999999999991 },
9249 };
9250 const double toler196 = 2.5000000000000020e-13;
9251
9252 // Test data for a=10.000000000000000, b=5.0000000000000000, c=4.0000000000000000.
9253 // max(|f - f_GSL|): 0.00039672851562500000
9254 // max(|f - f_GSL| / |f_GSL|): 1.6882064494681041e-15
9255 const testcase_hyperg<double>
9256 data197[19] =
9257 {
9258   { -0.00030045430691814646, 10.000000000000000, 5.0000000000000000,
9259           4.0000000000000000, -0.90000000000000002 },
9260   { -0.00031119487747322054, 10.000000000000000, 5.0000000000000000,
9261           4.0000000000000000, -0.80000000000000004 },
9262   { -0.00014589213141656318, 10.000000000000000, 5.0000000000000000,
9263           4.0000000000000000, -0.69999999999999996 },
9264   { 0.00056843418860824636, 10.000000000000000, 5.0000000000000000,
9265           4.0000000000000000, -0.59999999999999998 },
9266   { 0.0028902549859721747, 10.000000000000000, 5.0000000000000000,
9267           4.0000000000000000, -0.50000000000000000 },
9268   { 0.0098776037238878477, 10.000000000000000, 5.0000000000000000,
9269           4.0000000000000000, -0.40000000000000002 },
9270   { 0.030689217428863869, 10.000000000000000, 5.0000000000000000,
9271           4.0000000000000000, -0.30000000000000004 },
9272   { 0.094211590019076558, 10.000000000000000, 5.0000000000000000,
9273           4.0000000000000000, -0.19999999999999996 },
9274   { 0.29791981455918370, 10.000000000000000, 5.0000000000000000,
9275           4.0000000000000000, -0.099999999999999978 },
9276   { 1.0000000000000000, 10.000000000000000, 5.0000000000000000,
9277           4.0000000000000000, 0.0000000000000000 },
9278   { 3.6646308771236793, 10.000000000000000, 5.0000000000000000,
9279           4.0000000000000000, 0.10000000000000009 },
9280   { 15.133991837501521, 10.000000000000000, 5.0000000000000000,
9281           4.0000000000000000, 0.19999999999999996 },
9282   { 73.331330046144089, 10.000000000000000, 5.0000000000000000,
9283           4.0000000000000000, 0.30000000000000004 },
9284   { 441.01791167787133, 10.000000000000000, 5.0000000000000000,
9285           4.0000000000000000, 0.39999999999999991 },
9286   { 3583.9999999999991, 10.000000000000000, 5.0000000000000000,
9287           4.0000000000000000, 0.50000000000000000 },
9288   { 45299.530029296984, 10.000000000000000, 5.0000000000000000,
9289           4.0000000000000000, 0.60000000000000009 },
9290   { 1157231.0002427341, 10.000000000000000, 5.0000000000000000,
9291           4.0000000000000000, 0.69999999999999996 },
9292   { 107421875.00000016, 10.000000000000000, 5.0000000000000000,
9293           4.0000000000000000, 0.80000000000000004 },
9294   { 234999999999.99734, 10.000000000000000, 5.0000000000000000,
9295           4.0000000000000000, 0.89999999999999991 },
9296 };
9297 const double toler197 = 2.5000000000000020e-13;
9298
9299 // Test data for a=10.000000000000000, b=5.0000000000000000, c=6.0000000000000000.
9300 // max(|f - f_GSL|): 9.5367431640625000e-07
9301 // max(|f - f_GSL| / |f_GSL|): 1.6314276114917867e-15
9302 const testcase_hyperg<double>
9303 data198[19] =
9304 {
9305   { 0.0058530497315413248, 10.000000000000000, 5.0000000000000000,
9306           6.0000000000000000, -0.90000000000000002 },
9307   { 0.0088526869356855397, 10.000000000000000, 5.0000000000000000,
9308           6.0000000000000000, -0.80000000000000004 },
9309   { 0.013770987983442959, 10.000000000000000, 5.0000000000000000,
9310           6.0000000000000000, -0.69999999999999996 },
9311   { 0.022108932690960776, 10.000000000000000, 5.0000000000000000,
9312           6.0000000000000000, -0.59999999999999998 },
9313   { 0.036786236450921550, 10.000000000000000, 5.0000000000000000,
9314           6.0000000000000000, -0.50000000000000000 },
9315   { 0.063750669040426505, 10.000000000000000, 5.0000000000000000,
9316           6.0000000000000000, -0.40000000000000002 },
9317   { 0.11577228680714462, 10.000000000000000, 5.0000000000000000,
9318           6.0000000000000000, -0.30000000000000004 },
9319   { 0.22197573416125760, 10.000000000000000, 5.0000000000000000,
9320           6.0000000000000000, -0.19999999999999996 },
9321   { 0.45361312968415324, 10.000000000000000, 5.0000000000000000,
9322           6.0000000000000000, -0.099999999999999978 },
9323   { 1.0000000000000000, 10.000000000000000, 5.0000000000000000,
9324           6.0000000000000000, 0.0000000000000000 },
9325   { 2.4162889363082747, 10.000000000000000, 5.0000000000000000,
9326           6.0000000000000000, 0.10000000000000009 },
9327   { 6.5381564791240399, 10.000000000000000, 5.0000000000000000,
9328           6.0000000000000000, 0.19999999999999996 },
9329   { 20.415771011498428, 10.000000000000000, 5.0000000000000000,
9330           6.0000000000000000, 0.30000000000000004 },
9331   { 76.870682056629221, 10.000000000000000, 5.0000000000000000,
9332           6.0000000000000000, 0.39999999999999991 },
9333   { 373.58730158730162, 10.000000000000000, 5.0000000000000000,
9334           6.0000000000000000, 0.50000000000000000 },
9335   { 2626.2555803571477, 10.000000000000000, 5.0000000000000000,
9336           6.0000000000000000, 0.60000000000000009 },
9337   { 33060.960671081048, 10.000000000000000, 5.0000000000000000,
9338           6.0000000000000000, 0.69999999999999996 },
9339   { 1203521.8253968258, 10.000000000000000, 5.0000000000000000,
9340           6.0000000000000000, 0.80000000000000004 },
9341   { 584564285.71427989, 10.000000000000000, 5.0000000000000000,
9342           6.0000000000000000, 0.89999999999999991 },
9343 };
9344 const double toler198 = 2.5000000000000020e-13;
9345
9346 // Test data for a=10.000000000000000, b=5.0000000000000000, c=8.0000000000000000.
9347 // max(|f - f_GSL|): 7.4505805969238281e-09
9348 // max(|f - f_GSL| / |f_GSL|): 1.6196914341138888e-15
9349 const testcase_hyperg<double>
9350 data199[19] =
9351 {
9352   { 0.020248990107069573, 10.000000000000000, 5.0000000000000000,
9353           8.0000000000000000, -0.90000000000000002 },
9354   { 0.027876687750502366, 10.000000000000000, 5.0000000000000000,
9355           8.0000000000000000, -0.80000000000000004 },
9356   { 0.039154648888447607, 10.000000000000000, 5.0000000000000000,
9357           8.0000000000000000, -0.69999999999999996 },
9358   { 0.056251883506774715, 10.000000000000000, 5.0000000000000000,
9359           8.0000000000000000, -0.59999999999999998 },
9360   { 0.082914189910074473, 10.000000000000000, 5.0000000000000000,
9361           8.0000000000000000, -0.50000000000000000 },
9362   { 0.12585357817786455, 10.000000000000000, 5.0000000000000000,
9363           8.0000000000000000, -0.40000000000000002 },
9364   { 0.19761423206224954, 10.000000000000000, 5.0000000000000000,
9365           8.0000000000000000, -0.30000000000000004 },
9366   { 0.32280443863359237, 10.000000000000000, 5.0000000000000000,
9367           8.0000000000000000, -0.19999999999999996 },
9368   { 0.55250024062839420, 10.000000000000000, 5.0000000000000000,
9369           8.0000000000000000, -0.099999999999999978 },
9370   { 1.0000000000000000, 10.000000000000000, 5.0000000000000000,
9371           8.0000000000000000, 0.0000000000000000 },
9372   { 1.9374297986599267, 10.000000000000000, 5.0000000000000000,
9373           8.0000000000000000, 0.10000000000000009 },
9374   { 4.0849049886067696, 10.000000000000000, 5.0000000000000000,
9375           8.0000000000000000, 0.19999999999999996 },
9376   { 9.5926988633258983, 10.000000000000000, 5.0000000000000000,
9377           8.0000000000000000, 0.30000000000000004 },
9378   { 25.958314281359531, 10.000000000000000, 5.0000000000000000,
9379           8.0000000000000000, 0.39999999999999991 },
9380   { 85.333333333333300, 10.000000000000000, 5.0000000000000000,
9381           8.0000000000000000, 0.50000000000000000 },
9382   { 372.31445312500028, 10.000000000000000, 5.0000000000000000,
9383           8.0000000000000000, 0.60000000000000009 },
9384   { 2545.3436976070675, 10.000000000000000, 5.0000000000000000,
9385           8.0000000000000000, 0.69999999999999996 },
9386   { 39583.333333333343, 10.000000000000000, 5.0000000000000000,
9387           8.0000000000000000, 0.80000000000000004 },
9388   { 4599999.9999999627, 10.000000000000000, 5.0000000000000000,
9389           8.0000000000000000, 0.89999999999999991 },
9390 };
9391 const double toler199 = 2.5000000000000020e-13;
9392
9393 // Test data for a=10.000000000000000, b=5.0000000000000000, c=10.000000000000000.
9394 // max(|f - f_GSL|): 1.1641532182693481e-10
9395 // max(|f - f_GSL| / |f_GSL|): 1.4551915228366856e-15
9396 const testcase_hyperg<double>
9397 data200[19] =
9398 {
9399   { 0.040386107340619266, 10.000000000000000, 5.0000000000000000,
9400           10.000000000000000, -0.90000000000000002 },
9401   { 0.052922149401344633, 10.000000000000000, 5.0000000000000000,
9402           10.000000000000000, -0.80000000000000004 },
9403   { 0.070429627772374270, 10.000000000000000, 5.0000000000000000,
9404           10.000000000000000, -0.69999999999999996 },
9405   { 0.095367431640624972, 10.000000000000000, 5.0000000000000000,
9406           10.000000000000000, -0.59999999999999998 },
9407   { 0.13168724279835387, 10.000000000000000, 5.0000000000000000,
9408           10.000000000000000, -0.50000000000000000 },
9409   { 0.18593443208187066, 10.000000000000000, 5.0000000000000000,
9410           10.000000000000000, -0.40000000000000002 },
9411   { 0.26932907434290437, 10.000000000000000, 5.0000000000000000,
9412           10.000000000000000, -0.30000000000000004 },
9413   { 0.40187757201646096, 10.000000000000000, 5.0000000000000000,
9414           10.000000000000000, -0.19999999999999996 },
9415   { 0.62092132305915493, 10.000000000000000, 5.0000000000000000,
9416           10.000000000000000, -0.099999999999999978 },
9417   { 1.0000000000000000, 10.000000000000000, 5.0000000000000000,
9418           10.000000000000000, 0.0000000000000000 },
9419   { 1.6935087808430296, 10.000000000000000, 5.0000000000000000,
9420           10.000000000000000, 0.10000000000000009 },
9421   { 3.0517578124999991, 10.000000000000000, 5.0000000000000000,
9422           10.000000000000000, 0.19999999999999996 },
9423   { 5.9499018266198629, 10.000000000000000, 5.0000000000000000,
9424           10.000000000000000, 0.30000000000000004 },
9425   { 12.860082304526737, 10.000000000000000, 5.0000000000000000,
9426           10.000000000000000, 0.39999999999999991 },
9427   { 32.000000000000000, 10.000000000000000, 5.0000000000000000,
9428           10.000000000000000, 0.50000000000000000 },
9429   { 97.656250000000114, 10.000000000000000, 5.0000000000000000,
9430           10.000000000000000, 0.60000000000000009 },
9431   { 411.52263374485580, 10.000000000000000, 5.0000000000000000,
9432           10.000000000000000, 0.69999999999999996 },
9433   { 3124.9999999999991, 10.000000000000000, 5.0000000000000000,
9434           10.000000000000000, 0.80000000000000004 },
9435   { 99999.999999999665, 10.000000000000000, 5.0000000000000000,
9436           10.000000000000000, 0.89999999999999991 },
9437 };
9438 const double toler200 = 2.5000000000000020e-13;
9439
9440 // Test data for a=10.000000000000000, b=10.000000000000000, c=2.0000000000000000.
9441 // max(|f - f_GSL|): 3407872.0000000000
9442 // max(|f - f_GSL| / |f_GSL|): 1.8642431677286335e-15
9443 const testcase_hyperg<double>
9444 data201[19] =
9445 {
9446   { 2.3388730079478156e-05, 10.000000000000000, 10.000000000000000,
9447           2.0000000000000000, -0.90000000000000002 },
9448   { -2.3204970759764180e-05, 10.000000000000000, 10.000000000000000,
9449           2.0000000000000000, -0.80000000000000004 },
9450   { -0.00016219730505521665, 10.000000000000000, 10.000000000000000,
9451           2.0000000000000000, -0.69999999999999996 },
9452   { -0.00044366962360922366, 10.000000000000000, 10.000000000000000,
9453           2.0000000000000000, -0.59999999999999998 },
9454   { -0.00071863577205453773, 10.000000000000000, 10.000000000000000,
9455           2.0000000000000000, -0.50000000000000000 },
9456   { 4.4378596544533363e-05, 10.000000000000000, 10.000000000000000,
9457           2.0000000000000000, -0.40000000000000002 },
9458   { 0.0044446568070623509, 10.000000000000000, 10.000000000000000,
9459           2.0000000000000000, -0.30000000000000004 },
9460   { 0.0071045155183571615, 10.000000000000000, 10.000000000000000,
9461           2.0000000000000000, -0.19999999999999996 },
9462   { -0.049961558159890306, 10.000000000000000, 10.000000000000000,
9463           2.0000000000000000, -0.099999999999999978 },
9464   { 1.0000000000000000, 10.000000000000000, 10.000000000000000,
9465           2.0000000000000000, 0.0000000000000000 },
9466   { 51.305449964107403, 10.000000000000000, 10.000000000000000,
9467           2.0000000000000000, 0.10000000000000009 },
9468   { 1435.9545414461309, 10.000000000000000, 10.000000000000000,
9469           2.0000000000000000, 0.19999999999999996 },
9470   { 39657.913058984115, 10.000000000000000, 10.000000000000000,
9471           2.0000000000000000, 0.30000000000000004 },
9472   { 1346016.4468570501, 10.000000000000000, 10.000000000000000,
9473           2.0000000000000000, 0.39999999999999991 },
9474   { 68086556.444444403, 10.000000000000000, 10.000000000000000,
9475           2.0000000000000000, 0.50000000000000000 },
9476   { 6646235808.7301531, 10.000000000000000, 10.000000000000000,
9477           2.0000000000000000, 0.60000000000000009 },
9478   { 1954852335479.9702, 10.000000000000000, 10.000000000000000,
9479           2.0000000000000000, 0.69999999999999996 },
9480   { 4573796225043418.0, 10.000000000000000, 10.000000000000000,
9481           2.0000000000000000, 0.80000000000000004 },
9482   { 1.8280190368899683e+21, 10.000000000000000, 10.000000000000000,
9483           2.0000000000000000, 0.89999999999999991 },
9484 };
9485 const double toler201 = 2.5000000000000020e-13;
9486
9487 // Test data for a=10.000000000000000, b=10.000000000000000, c=4.0000000000000000.
9488 // max(|f - f_GSL|): 832.00000000000000
9489 // max(|f - f_GSL| / |f_GSL|): 1.7889121078953977e-15
9490 const testcase_hyperg<double>
9491 data202[19] =
9492 {
9493   { 1.3504013648914116e-05, 10.000000000000000, 10.000000000000000,
9494           4.0000000000000000, -0.90000000000000002 },
9495   { 3.1753432098506483e-05, 10.000000000000000, 10.000000000000000,
9496           4.0000000000000000, -0.80000000000000004 },
9497   { 6.2032098207654132e-05, 10.000000000000000, 10.000000000000000,
9498           4.0000000000000000, -0.69999999999999996 },
9499   { 8.8747213942816339e-05, 10.000000000000000, 10.000000000000000,
9500           4.0000000000000000, -0.59999999999999998 },
9501   { 1.0478094697613739e-05, 10.000000000000000, 10.000000000000000,
9502           4.0000000000000000, -0.50000000000000000 },
9503   { -0.00055998751005986670, 10.000000000000000, 10.000000000000000,
9504           4.0000000000000000, -0.40000000000000002 },
9505   { -0.0024718654966575881, 10.000000000000000, 10.000000000000000,
9506           4.0000000000000000, -0.30000000000000004 },
9507   { -0.0027000264053620069, 10.000000000000000, 10.000000000000000,
9508           4.0000000000000000, -0.19999999999999996 },
9509   { 0.066515394406810743, 10.000000000000000, 10.000000000000000,
9510           4.0000000000000000, -0.099999999999999978 },
9511   { 1.0000000000000000, 10.000000000000000, 10.000000000000000,
9512           4.0000000000000000, 0.0000000000000000 },
9513   { 11.579200866389527, 10.000000000000000, 10.000000000000000,
9514           4.0000000000000000, 0.10000000000000009 },
9515   { 137.50750548795256, 10.000000000000000, 10.000000000000000,
9516           4.0000000000000000, 0.19999999999999996 },
9517   { 1901.3196072993419, 10.000000000000000, 10.000000000000000,
9518           4.0000000000000000, 0.30000000000000004 },
9519   { 34210.659507137796, 10.000000000000000, 10.000000000000000,
9520           4.0000000000000000, 0.39999999999999991 },
9521   { 920588.19047619053, 10.000000000000000, 10.000000000000000,
9522           4.0000000000000000, 0.50000000000000000 },
9523   { 45876220.933028772, 10.000000000000000, 10.000000000000000,
9524           4.0000000000000000, 0.60000000000000009 },
9525   { 6234608574.0963297, 10.000000000000000, 10.000000000000000,
9526           4.0000000000000000, 0.69999999999999996 },
9527   { 5445391090029.7783, 10.000000000000000, 10.000000000000000,
9528           4.0000000000000000, 0.80000000000000004 },
9529   { 4.6508713107142163e+17, 10.000000000000000, 10.000000000000000,
9530           4.0000000000000000, 0.89999999999999991 },
9531 };
9532 const double toler202 = 2.5000000000000020e-13;
9533
9534 // Test data for a=10.000000000000000, b=10.000000000000000, c=6.0000000000000000.
9535 // max(|f - f_GSL|): 0.93750000000000000
9536 // max(|f - f_GSL| / |f_GSL|): 1.8742262123209408e-15
9537 const testcase_hyperg<double>
9538 data203[19] =
9539 {
9540   { -2.6846726901509877e-05, 10.000000000000000, 10.000000000000000,
9541           6.0000000000000000, -0.90000000000000002 },
9542   { -4.7817237144298244e-05, 10.000000000000000, 10.000000000000000,
9543           6.0000000000000000, -0.80000000000000004 },
9544   { -7.2908121941826117e-05, 10.000000000000000, 10.000000000000000,
9545           6.0000000000000000, -0.69999999999999996 },
9546   { -6.0427853197636777e-05, 10.000000000000000, 10.000000000000000,
9547           6.0000000000000000, -0.59999999999999998 },
9548   { 0.00020559720946644960, 10.000000000000000, 10.000000000000000,
9549           6.0000000000000000, -0.50000000000000000 },
9550   { 0.0017056910683366346, 10.000000000000000, 10.000000000000000,
9551           6.0000000000000000, -0.40000000000000002 },
9552   { 0.0088037230970528183, 10.000000000000000, 10.000000000000000,
9553           6.0000000000000000, -0.30000000000000004 },
9554   { 0.041510819735141528, 10.000000000000000, 10.000000000000000,
9555           6.0000000000000000, -0.19999999999999996 },
9556   { 0.19754880805677244, 10.000000000000000, 10.000000000000000,
9557           6.0000000000000000, -0.099999999999999978 },
9558   { 1.0000000000000000, 10.000000000000000, 10.000000000000000,
9559           6.0000000000000000, 0.0000000000000000 },
9560   { 5.6130947302779246, 10.000000000000000, 10.000000000000000,
9561           6.0000000000000000, 0.10000000000000009 },
9562   { 36.475357196722442, 10.000000000000000, 10.000000000000000,
9563           6.0000000000000000, 0.19999999999999996 },
9564   { 289.29483001400672, 10.000000000000000, 10.000000000000000,
9565           6.0000000000000000, 0.30000000000000004 },
9566   { 3010.8676549536503, 10.000000000000000, 10.000000000000000,
9567           6.0000000000000000, 0.39999999999999991 },
9568   { 45844.317460317419, 10.000000000000000, 10.000000000000000,
9569           6.0000000000000000, 0.50000000000000000 },
9570   { 1221852.6431492427, 10.000000000000000, 10.000000000000000,
9571           6.0000000000000000, 0.60000000000000009 },
9572   { 79585968.928968787, 10.000000000000000, 10.000000000000000,
9573           6.0000000000000000, 0.69999999999999996 },
9574   { 26733475942.460335, 10.000000000000000, 10.000000000000000,
9575           6.0000000000000000, 0.80000000000000004 },
9576   { 500206428571421.19, 10.000000000000000, 10.000000000000000,
9577           6.0000000000000000, 0.89999999999999991 },
9578 };
9579 const double toler203 = 2.5000000000000020e-13;
9580
9581 // Test data for a=10.000000000000000, b=10.000000000000000, c=8.0000000000000000.
9582 // max(|f - f_GSL|): 0.0024414062500000000
9583 // max(|f - f_GSL| / |f_GSL|): 1.6580008488964534e-15
9584 const testcase_hyperg<double>
9585 data204[19] =
9586 {
9587   { 0.00025866179054283083, 10.000000000000000, 10.000000000000000,
9588           8.0000000000000000, -0.90000000000000002 },
9589   { 0.00053402577739226583, 10.000000000000000, 10.000000000000000,
9590           8.0000000000000000, -0.80000000000000004 },
9591   { 0.0011390075227239291, 10.000000000000000, 10.000000000000000,
9592           8.0000000000000000, -0.69999999999999996 },
9593   { 0.0025224267119482941, 10.000000000000000, 10.000000000000000,
9594           8.0000000000000000, -0.59999999999999998 },
9595   { 0.0058340332124251458, 10.000000000000000, 10.000000000000000,
9596           8.0000000000000000, -0.50000000000000000 },
9597   { 0.014189256143045500, 10.000000000000000, 10.000000000000000,
9598           8.0000000000000000, -0.40000000000000002 },
9599   { 0.036590990011337692, 10.000000000000000, 10.000000000000000,
9600           8.0000000000000000, -0.30000000000000004 },
9601   { 0.10106560781146991, 10.000000000000000, 10.000000000000000,
9602           8.0000000000000000, -0.19999999999999996 },
9603   { 0.30278778538531392, 10.000000000000000, 10.000000000000000,
9604           8.0000000000000000, -0.099999999999999978 },
9605   { 1.0000000000000000, 10.000000000000000, 10.000000000000000,
9606           8.0000000000000000, 0.0000000000000000 },
9607   { 3.7187249990350599, 10.000000000000000, 10.000000000000000,
9608           8.0000000000000000, 0.10000000000000009 },
9609   { 16.023275545901704, 10.000000000000000, 10.000000000000000,
9610           8.0000000000000000, 0.19999999999999996 },
9611   { 83.265377219882822, 10.000000000000000, 10.000000000000000,
9612           8.0000000000000000, 0.30000000000000004 },
9613   { 553.31413918843987, 10.000000000000000, 10.000000000000000,
9614           8.0000000000000000, 0.39999999999999991 },
9615   { 5148.4444444444416, 10.000000000000000, 10.000000000000000,
9616           8.0000000000000000, 0.50000000000000000 },
9617   { 78082.084655761908, 10.000000000000000, 10.000000000000000,
9618           8.0000000000000000, 0.60000000000000009 },
9619   { 2565874.8781353114, 10.000000000000000, 10.000000000000000,
9620           8.0000000000000000, 0.69999999999999996 },
9621   { 346137152.77777809, 10.000000000000000, 10.000000000000000,
9622           8.0000000000000000, 0.80000000000000004 },
9623   { 1472499999999.9834, 10.000000000000000, 10.000000000000000,
9624           8.0000000000000000, 0.89999999999999991 },
9625 };
9626 const double toler204 = 2.5000000000000020e-13;
9627
9628 // Test data for a=10.000000000000000, b=10.000000000000000, c=10.000000000000000.
9629 // max(|f - f_GSL|): 2.2888183593750000e-05
9630 // max(|f - f_GSL| / |f_GSL|): 2.8610229492187516e-15
9631 const testcase_hyperg<double>
9632 data205[19] =
9633 {
9634   { 0.0016310376661280216, 10.000000000000000, 10.000000000000000,
9635           10.000000000000000, -0.90000000000000002 },
9636   { 0.0028007538972582421, 10.000000000000000, 10.000000000000000,
9637           10.000000000000000, -0.80000000000000004 },
9638   { 0.0049603324681551939, 10.000000000000000, 10.000000000000000,
9639           10.000000000000000, -0.69999999999999996 },
9640   { 0.0090949470177292789, 10.000000000000000, 10.000000000000000,
9641           10.000000000000000, -0.59999999999999998 },
9642   { 0.017341529915832606, 10.000000000000000, 10.000000000000000,
9643           10.000000000000000, -0.50000000000000000 },
9644   { 0.034571613033607777, 10.000000000000000, 10.000000000000000,
9645           10.000000000000000, -0.40000000000000002 },
9646   { 0.072538150286405714, 10.000000000000000, 10.000000000000000,
9647           10.000000000000000, -0.30000000000000004 },
9648   { 0.16150558288984579, 10.000000000000000, 10.000000000000000,
9649           10.000000000000000, -0.19999999999999996 },
9650   { 0.38554328942953148, 10.000000000000000, 10.000000000000000,
9651           10.000000000000000, -0.099999999999999978 },
9652   { 1.0000000000000000, 10.000000000000000, 10.000000000000000,
9653           10.000000000000000, 0.0000000000000000 },
9654   { 2.8679719907924444, 10.000000000000000, 10.000000000000000,
9655           10.000000000000000, 0.10000000000000009 },
9656   { 9.3132257461547816, 10.000000000000000, 10.000000000000000,
9657           10.000000000000000, 0.19999999999999996 },
9658   { 35.401331746414378, 10.000000000000000, 10.000000000000000,
9659           10.000000000000000, 0.30000000000000004 },
9660   { 165.38171687920172, 10.000000000000000, 10.000000000000000,
9661           10.000000000000000, 0.39999999999999991 },
9662   { 1024.0000000000000, 10.000000000000000, 10.000000000000000,
9663           10.000000000000000, 0.50000000000000000 },
9664   { 9536.7431640625200, 10.000000000000000, 10.000000000000000,
9665           10.000000000000000, 0.60000000000000009 },
9666   { 169350.87808430271, 10.000000000000000, 10.000000000000000,
9667           10.000000000000000, 0.69999999999999996 },
9668   { 9765624.9999999944, 10.000000000000000, 10.000000000000000,
9669           10.000000000000000, 0.80000000000000004 },
9670   { 9999999999.9999332, 10.000000000000000, 10.000000000000000,
9671           10.000000000000000, 0.89999999999999991 },
9672 };
9673 const double toler205 = 2.5000000000000020e-13;
9674
9675 // Test data for a=10.000000000000000, b=20.000000000000000, c=2.0000000000000000.
9676 // max(|f - f_GSL|): 2.5940733853654057e+18
9677 // max(|f - f_GSL| / |f_GSL|): 1.8312596334405405e-15
9678 const testcase_hyperg<double>
9679 data206[19] =
9680 {
9681   { -2.1776535312781759e-07, 10.000000000000000, 20.000000000000000,
9682           2.0000000000000000, -0.90000000000000002 },
9683   { -2.9128833151630439e-06, 10.000000000000000, 20.000000000000000,
9684           2.0000000000000000, -0.80000000000000004 },
9685   { -9.4755553429932710e-06, 10.000000000000000, 20.000000000000000,
9686           2.0000000000000000, -0.69999999999999996 },
9687   { -1.2844297353852837e-05, 10.000000000000000, 20.000000000000000,
9688           2.0000000000000000, -0.59999999999999998 },
9689   { 3.6576965483549205e-05, 10.000000000000000, 20.000000000000000,
9690           2.0000000000000000, -0.50000000000000000 },
9691   { 0.00020847453890689954, 10.000000000000000, 20.000000000000000,
9692           2.0000000000000000, -0.40000000000000002 },
9693   { -0.00022868510398160936, 10.000000000000000, 20.000000000000000,
9694           2.0000000000000000, -0.30000000000000004 },
9695   { -0.0021855513841943421, 10.000000000000000, 20.000000000000000,
9696           2.0000000000000000, -0.19999999999999996 },
9697   { 0.014662111759334568, 10.000000000000000, 20.000000000000000,
9698           2.0000000000000000, -0.099999999999999978 },
9699   { 1.0000000000000000, 10.000000000000000, 20.000000000000000,
9700           2.0000000000000000, 0.0000000000000000 },
9701   { 746.44776348798098, 10.000000000000000, 20.000000000000000,
9702           2.0000000000000000, 0.10000000000000009 },
9703   { 136080.48445225612, 10.000000000000000, 20.000000000000000,
9704           2.0000000000000000, 0.19999999999999996 },
9705   { 23094279.597826406, 10.000000000000000, 20.000000000000000,
9706           2.0000000000000000, 0.30000000000000004 },
9707   { 5315913395.5545301, 10.000000000000000, 20.000000000000000,
9708           2.0000000000000000, 0.39999999999999991 },
9709   { 2261935718399.9990, 10.000000000000000, 20.000000000000000,
9710           2.0000000000000000, 0.50000000000000000 },
9711   { 2669150854828235.0, 10.000000000000000, 20.000000000000000,
9712           2.0000000000000000, 0.60000000000000009 },
9713   { 1.7499363099365994e+19, 10.000000000000000, 20.000000000000000,
9714           2.0000000000000000, 0.69999999999999996 },
9715   { 2.8881518494606140e+24, 10.000000000000000, 20.000000000000000,
9716           2.0000000000000000, 0.80000000000000004 },
9717   { 1.4165513933661626e+33, 10.000000000000000, 20.000000000000000,
9718           2.0000000000000000, 0.89999999999999991 },
9719 };
9720 const double toler206 = 2.5000000000000020e-13;
9721
9722 // Test data for a=10.000000000000000, b=20.000000000000000, c=4.0000000000000000.
9723 // max(|f - f_GSL|): 299067162755072.00
9724 // max(|f - f_GSL| / |f_GSL|): 2.1129345912024644e-15
9725 const testcase_hyperg<double>
9726 data207[19] =
9727 {
9728   { 1.7149006966334498e-07, 10.000000000000000, 20.000000000000000,
9729           4.0000000000000000, -0.90000000000000002 },
9730   { 3.2399324906563845e-07, 10.000000000000000, 20.000000000000000,
9731           4.0000000000000000, -0.80000000000000004 },
9732   { 1.6015317699713284e-07, 10.000000000000000, 20.000000000000000,
9733           4.0000000000000000, -0.69999999999999996 },
9734   { -2.0500917201273337e-06, 10.000000000000000, 20.000000000000000,
9735           4.0000000000000000, -0.59999999999999998 },
9736   { -1.0175546788592665e-05, 10.000000000000000, 20.000000000000000,
9737           4.0000000000000000, -0.50000000000000000 },
9738   { -1.1720101988158874e-05, 10.000000000000000, 20.000000000000000,
9739           4.0000000000000000, -0.40000000000000002 },
9740   { 0.00014199637113975139, 10.000000000000000, 20.000000000000000,
9741           4.0000000000000000, -0.30000000000000004 },
9742   { 0.00021263363640641769, 10.000000000000000, 20.000000000000000,
9743           4.0000000000000000, -0.19999999999999996 },
9744   { -0.0072649256698439626, 10.000000000000000, 20.000000000000000,
9745           4.0000000000000000, -0.099999999999999978 },
9746   { 1.0000000000000000, 10.000000000000000, 20.000000000000000,
9747           4.0000000000000000, 0.0000000000000000 },
9748   { 90.430293772869618, 10.000000000000000, 20.000000000000000,
9749           4.0000000000000000, 0.10000000000000009 },
9750   { 6248.1455940292308, 10.000000000000000, 20.000000000000000,
9751           4.0000000000000000, 0.19999999999999996 },
9752   { 501143.39852548984, 10.000000000000000, 20.000000000000000,
9753           4.0000000000000000, 0.30000000000000004 },
9754   { 58852027.356439680, 10.000000000000000, 20.000000000000000,
9755           4.0000000000000000, 0.39999999999999991 },
9756   { 12942923093.333330, 10.000000000000000, 20.000000000000000,
9757           4.0000000000000000, 0.50000000000000000 },
9758   { 7618073993853.6592, 10.000000000000000, 20.000000000000000,
9759           4.0000000000000000, 0.60000000000000009 },
9760   { 22630251562549288., 10.000000000000000, 20.000000000000000,
9761           4.0000000000000000, 0.69999999999999996 },
9762   { 1.3708372433980356e+21, 10.000000000000000, 20.000000000000000,
9763           4.0000000000000000, 0.80000000000000004 },
9764   { 1.4154113619999653e+29, 10.000000000000000, 20.000000000000000,
9765           4.0000000000000000, 0.89999999999999991 },
9766 };
9767 const double toler207 = 2.5000000000000020e-13;
9768
9769 // Test data for a=10.000000000000000, b=20.000000000000000, c=6.0000000000000000.
9770 // max(|f - f_GSL|): 103079215104.00000
9771 // max(|f - f_GSL| / |f_GSL|): 1.8869870511942065e-15
9772 const testcase_hyperg<double>
9773 data208[19] =
9774 {
9775   { -1.6667473284194196e-08, 10.000000000000000, 20.000000000000000,
9776           6.0000000000000000, -0.90000000000000002 },
9777   { 8.6214843496406671e-08, 10.000000000000000, 20.000000000000000,
9778           6.0000000000000000, -0.80000000000000004 },
9779   { 5.7778331275185146e-07, 10.000000000000000, 20.000000000000000,
9780           6.0000000000000000, -0.69999999999999996 },
9781   { 2.1911400502042259e-06, 10.000000000000000, 20.000000000000000,
9782           6.0000000000000000, -0.59999999999999998 },
9783   { 4.7440049217199358e-06, 10.000000000000000, 20.000000000000000,
9784           6.0000000000000000, -0.50000000000000000 },
9785   { -1.0564233315113883e-05, 10.000000000000000, 20.000000000000000,
9786           6.0000000000000000, -0.40000000000000002 },
9787   { -0.00017990026051873263, 10.000000000000000, 20.000000000000000,
9788           6.0000000000000000, -0.30000000000000004 },
9789   { -0.00027618146288724629, 10.000000000000000, 20.000000000000000,
9790           6.0000000000000000, -0.19999999999999996 },
9791   { 0.030606019577723666, 10.000000000000000, 20.000000000000000,
9792           6.0000000000000000, -0.099999999999999978 },
9793   { 1.0000000000000000, 10.000000000000000, 20.000000000000000,
9794           6.0000000000000000, 0.0000000000000000 },
9795   { 27.832854169493341, 10.000000000000000, 20.000000000000000,
9796           6.0000000000000000, 0.10000000000000009 },
9797   { 874.00624088575228, 10.000000000000000, 20.000000000000000,
9798           6.0000000000000000, 0.19999999999999996 },
9799   { 36049.199340831554, 10.000000000000000, 20.000000000000000,
9800           6.0000000000000000, 0.30000000000000004 },
9801   { 2270967.7298624986, 10.000000000000000, 20.000000000000000,
9802           6.0000000000000000, 0.39999999999999991 },
9803   { 266979100.44444439, 10.000000000000000, 20.000000000000000,
9804           6.0000000000000000, 0.50000000000000000 },
9805   { 80311224337.493027, 10.000000000000000, 20.000000000000000,
9806           6.0000000000000000, 0.60000000000000009 },
9807   { 110111693103799.72, 10.000000000000000, 20.000000000000000,
9808           6.0000000000000000, 0.69999999999999996 },
9809   { 2.4838871426052618e+18, 10.000000000000000, 20.000000000000000,
9810           6.0000000000000000, 0.80000000000000004 },
9811   { 5.4626349999998603e+25, 10.000000000000000, 20.000000000000000,
9812           6.0000000000000000, 0.89999999999999991 },
9813 };
9814 const double toler208 = 2.5000000000000020e-13;
9815
9816 // Test data for a=10.000000000000000, b=20.000000000000000, c=8.0000000000000000.
9817 // max(|f - f_GSL|): 100663296.00000000
9818 // max(|f - f_GSL| / |f_GSL|): 1.9414329026037087e-15
9819 const testcase_hyperg<double>
9820 data209[19] =
9821 {
9822   { -1.5843795889906876e-07, 10.000000000000000, 20.000000000000000,
9823           8.0000000000000000, -0.90000000000000002 },
9824   { -5.4877276002864784e-07, 10.000000000000000, 20.000000000000000,
9825           8.0000000000000000, -0.80000000000000004 },
9826   { -1.7169507967699695e-06, 10.000000000000000, 20.000000000000000,
9827           8.0000000000000000, -0.69999999999999996 },
9828   { -4.5236439749819329e-06, 10.000000000000000, 20.000000000000000,
9829           8.0000000000000000, -0.59999999999999998 },
9830   { -5.5690492560381956e-06, 10.000000000000000, 20.000000000000000,
9831           8.0000000000000000, -0.50000000000000000 },
9832   { 5.6914115607022928e-05, 10.000000000000000, 20.000000000000000,
9833           8.0000000000000000, -0.40000000000000002 },
9834   { 0.00082507252097525810, 10.000000000000000, 20.000000000000000,
9835           8.0000000000000000, -0.30000000000000004 },
9836   { 0.0085739249288230429, 10.000000000000000, 20.000000000000000,
9837           8.0000000000000000, -0.19999999999999996 },
9838   { 0.088244357683754687, 10.000000000000000, 20.000000000000000,
9839           8.0000000000000000, -0.099999999999999978 },
9840   { 1.0000000000000000, 10.000000000000000, 20.000000000000000,
9841           8.0000000000000000, 0.0000000000000000 },
9842   { 13.387208440156897, 10.000000000000000, 20.000000000000000,
9843           8.0000000000000000, 0.10000000000000009 },
9844   { 226.77895441155110, 10.000000000000000, 20.000000000000000,
9845           8.0000000000000000, 0.19999999999999996 },
9846   { 5281.5716482686785, 10.000000000000000, 20.000000000000000,
9847           8.0000000000000000, 0.30000000000000004 },
9848   { 189431.77762850464, 10.000000000000000, 20.000000000000000,
9849           8.0000000000000000, 0.39999999999999991 },
9850   { 12408149.333333332, 10.000000000000000, 20.000000000000000,
9851           8.0000000000000000, 0.50000000000000000 },
9852   { 1966782292.5839682, 10.000000000000000, 20.000000000000000,
9853           8.0000000000000000, 0.60000000000000009 },
9854   { 1274123112205.7495, 10.000000000000000, 20.000000000000000,
9855           8.0000000000000000, 0.69999999999999996 },
9856   { 10903676350911508., 10.000000000000000, 20.000000000000000,
9857           8.0000000000000000, 0.80000000000000004 },
9858   { 5.1849999999998819e+22, 10.000000000000000, 20.000000000000000,
9859           8.0000000000000000, 0.89999999999999991 },
9860 };
9861 const double toler209 = 2.5000000000000020e-13;
9862
9863 // Test data for a=10.000000000000000, b=20.000000000000000, c=10.000000000000000.
9864 // max(|f - f_GSL|): 425984.00000000000
9865 // max(|f - f_GSL| / |f_GSL|): 5.4067200000000052e-15
9866 const testcase_hyperg<double>
9867 data210[19] =
9868 {
9869   { 2.6602838683283435e-06, 10.000000000000000, 20.000000000000000,
9870           10.000000000000000, -0.90000000000000002 },
9871   { 7.8442223930072316e-06, 10.000000000000000, 20.000000000000000,
9872           10.000000000000000, -0.80000000000000004 },
9873   { 2.4604898194634598e-05, 10.000000000000000, 20.000000000000000,
9874           10.000000000000000, -0.69999999999999996 },
9875   { 8.2718061255302686e-05, 10.000000000000000, 20.000000000000000,
9876           10.000000000000000, -0.59999999999999998 },
9877   { 0.00030072865982171723, 10.000000000000000, 20.000000000000000,
9878           10.000000000000000, -0.50000000000000000 },
9879   { 0.0011951964277455193, 10.000000000000000, 20.000000000000000,
9880           10.000000000000000, -0.40000000000000002 },
9881   { 0.0052617832469731814, 10.000000000000000, 20.000000000000000,
9882           10.000000000000000, -0.30000000000000004 },
9883   { 0.026084053304588847, 10.000000000000000, 20.000000000000000,
9884           10.000000000000000, -0.19999999999999996 },
9885   { 0.14864362802414346, 10.000000000000000, 20.000000000000000,
9886           10.000000000000000, -0.099999999999999978 },
9887   { 1.0000000000000000, 10.000000000000000, 20.000000000000000,
9888           10.000000000000000, 0.0000000000000000 },
9889   { 8.2252633399699757, 10.000000000000000, 20.000000000000000,
9890           10.000000000000000, 0.10000000000000009 },
9891   { 86.736173798840269, 10.000000000000000, 20.000000000000000,
9892           10.000000000000000, 0.19999999999999996 },
9893   { 1253.2542894196865, 10.000000000000000, 20.000000000000000,
9894           10.000000000000000, 0.30000000000000004 },
9895   { 27351.112277912434, 10.000000000000000, 20.000000000000000,
9896           10.000000000000000, 0.39999999999999991 },
9897   { 1048576.0000000000, 10.000000000000000, 20.000000000000000,
9898           10.000000000000000, 0.50000000000000000 },
9899   { 90949470.177293226, 10.000000000000000, 20.000000000000000,
9900           10.000000000000000, 0.60000000000000009 },
9901   { 28679719907.924358, 10.000000000000000, 20.000000000000000,
9902           10.000000000000000, 0.69999999999999996 },
9903   { 95367431640624.906, 10.000000000000000, 20.000000000000000,
9904           10.000000000000000, 0.80000000000000004 },
9905   { 9.9999999999998657e+19, 10.000000000000000, 20.000000000000000,
9906           10.000000000000000, 0.89999999999999991 },
9907 };
9908 const double toler210 = 5.0000000000000039e-13;
9909
9910 // Test data for a=20.000000000000000, b=0.0000000000000000, c=2.0000000000000000.
9911 // max(|f - f_GSL|): 0.0000000000000000
9912 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
9913 const testcase_hyperg<double>
9914 data211[19] =
9915 {
9916   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9917           2.0000000000000000, -0.90000000000000002 },
9918   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9919           2.0000000000000000, -0.80000000000000004 },
9920   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9921           2.0000000000000000, -0.69999999999999996 },
9922   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9923           2.0000000000000000, -0.59999999999999998 },
9924   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9925           2.0000000000000000, -0.50000000000000000 },
9926   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9927           2.0000000000000000, -0.40000000000000002 },
9928   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9929           2.0000000000000000, -0.30000000000000004 },
9930   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9931           2.0000000000000000, -0.19999999999999996 },
9932   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9933           2.0000000000000000, -0.099999999999999978 },
9934   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9935           2.0000000000000000, 0.0000000000000000 },
9936   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9937           2.0000000000000000, 0.10000000000000009 },
9938   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9939           2.0000000000000000, 0.19999999999999996 },
9940   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9941           2.0000000000000000, 0.30000000000000004 },
9942   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9943           2.0000000000000000, 0.39999999999999991 },
9944   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9945           2.0000000000000000, 0.50000000000000000 },
9946   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9947           2.0000000000000000, 0.60000000000000009 },
9948   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9949           2.0000000000000000, 0.69999999999999996 },
9950   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9951           2.0000000000000000, 0.80000000000000004 },
9952   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9953           2.0000000000000000, 0.89999999999999991 },
9954 };
9955 const double toler211 = 2.5000000000000020e-13;
9956
9957 // Test data for a=20.000000000000000, b=0.0000000000000000, c=4.0000000000000000.
9958 // max(|f - f_GSL|): 0.0000000000000000
9959 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
9960 const testcase_hyperg<double>
9961 data212[19] =
9962 {
9963   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9964           4.0000000000000000, -0.90000000000000002 },
9965   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9966           4.0000000000000000, -0.80000000000000004 },
9967   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9968           4.0000000000000000, -0.69999999999999996 },
9969   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9970           4.0000000000000000, -0.59999999999999998 },
9971   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9972           4.0000000000000000, -0.50000000000000000 },
9973   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9974           4.0000000000000000, -0.40000000000000002 },
9975   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9976           4.0000000000000000, -0.30000000000000004 },
9977   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9978           4.0000000000000000, -0.19999999999999996 },
9979   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9980           4.0000000000000000, -0.099999999999999978 },
9981   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9982           4.0000000000000000, 0.0000000000000000 },
9983   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9984           4.0000000000000000, 0.10000000000000009 },
9985   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9986           4.0000000000000000, 0.19999999999999996 },
9987   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9988           4.0000000000000000, 0.30000000000000004 },
9989   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9990           4.0000000000000000, 0.39999999999999991 },
9991   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9992           4.0000000000000000, 0.50000000000000000 },
9993   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9994           4.0000000000000000, 0.60000000000000009 },
9995   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9996           4.0000000000000000, 0.69999999999999996 },
9997   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
9998           4.0000000000000000, 0.80000000000000004 },
9999   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10000           4.0000000000000000, 0.89999999999999991 },
10001 };
10002 const double toler212 = 2.5000000000000020e-13;
10003
10004 // Test data for a=20.000000000000000, b=0.0000000000000000, c=6.0000000000000000.
10005 // max(|f - f_GSL|): 0.0000000000000000
10006 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
10007 const testcase_hyperg<double>
10008 data213[19] =
10009 {
10010   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10011           6.0000000000000000, -0.90000000000000002 },
10012   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10013           6.0000000000000000, -0.80000000000000004 },
10014   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10015           6.0000000000000000, -0.69999999999999996 },
10016   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10017           6.0000000000000000, -0.59999999999999998 },
10018   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10019           6.0000000000000000, -0.50000000000000000 },
10020   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10021           6.0000000000000000, -0.40000000000000002 },
10022   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10023           6.0000000000000000, -0.30000000000000004 },
10024   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10025           6.0000000000000000, -0.19999999999999996 },
10026   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10027           6.0000000000000000, -0.099999999999999978 },
10028   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10029           6.0000000000000000, 0.0000000000000000 },
10030   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10031           6.0000000000000000, 0.10000000000000009 },
10032   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10033           6.0000000000000000, 0.19999999999999996 },
10034   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10035           6.0000000000000000, 0.30000000000000004 },
10036   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10037           6.0000000000000000, 0.39999999999999991 },
10038   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10039           6.0000000000000000, 0.50000000000000000 },
10040   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10041           6.0000000000000000, 0.60000000000000009 },
10042   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10043           6.0000000000000000, 0.69999999999999996 },
10044   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10045           6.0000000000000000, 0.80000000000000004 },
10046   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10047           6.0000000000000000, 0.89999999999999991 },
10048 };
10049 const double toler213 = 2.5000000000000020e-13;
10050
10051 // Test data for a=20.000000000000000, b=0.0000000000000000, c=8.0000000000000000.
10052 // max(|f - f_GSL|): 0.0000000000000000
10053 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
10054 const testcase_hyperg<double>
10055 data214[19] =
10056 {
10057   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10058           8.0000000000000000, -0.90000000000000002 },
10059   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10060           8.0000000000000000, -0.80000000000000004 },
10061   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10062           8.0000000000000000, -0.69999999999999996 },
10063   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10064           8.0000000000000000, -0.59999999999999998 },
10065   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10066           8.0000000000000000, -0.50000000000000000 },
10067   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10068           8.0000000000000000, -0.40000000000000002 },
10069   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10070           8.0000000000000000, -0.30000000000000004 },
10071   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10072           8.0000000000000000, -0.19999999999999996 },
10073   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10074           8.0000000000000000, -0.099999999999999978 },
10075   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10076           8.0000000000000000, 0.0000000000000000 },
10077   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10078           8.0000000000000000, 0.10000000000000009 },
10079   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10080           8.0000000000000000, 0.19999999999999996 },
10081   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10082           8.0000000000000000, 0.30000000000000004 },
10083   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10084           8.0000000000000000, 0.39999999999999991 },
10085   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10086           8.0000000000000000, 0.50000000000000000 },
10087   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10088           8.0000000000000000, 0.60000000000000009 },
10089   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10090           8.0000000000000000, 0.69999999999999996 },
10091   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10092           8.0000000000000000, 0.80000000000000004 },
10093   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10094           8.0000000000000000, 0.89999999999999991 },
10095 };
10096 const double toler214 = 2.5000000000000020e-13;
10097
10098 // Test data for a=20.000000000000000, b=0.0000000000000000, c=10.000000000000000.
10099 // max(|f - f_GSL|): 0.0000000000000000
10100 // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000
10101 const testcase_hyperg<double>
10102 data215[19] =
10103 {
10104   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10105           10.000000000000000, -0.90000000000000002 },
10106   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10107           10.000000000000000, -0.80000000000000004 },
10108   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10109           10.000000000000000, -0.69999999999999996 },
10110   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10111           10.000000000000000, -0.59999999999999998 },
10112   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10113           10.000000000000000, -0.50000000000000000 },
10114   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10115           10.000000000000000, -0.40000000000000002 },
10116   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10117           10.000000000000000, -0.30000000000000004 },
10118   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10119           10.000000000000000, -0.19999999999999996 },
10120   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10121           10.000000000000000, -0.099999999999999978 },
10122   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10123           10.000000000000000, 0.0000000000000000 },
10124   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10125           10.000000000000000, 0.10000000000000009 },
10126   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10127           10.000000000000000, 0.19999999999999996 },
10128   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10129           10.000000000000000, 0.30000000000000004 },
10130   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10131           10.000000000000000, 0.39999999999999991 },
10132   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10133           10.000000000000000, 0.50000000000000000 },
10134   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10135           10.000000000000000, 0.60000000000000009 },
10136   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10137           10.000000000000000, 0.69999999999999996 },
10138   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10139           10.000000000000000, 0.80000000000000004 },
10140   { 1.0000000000000000, 20.000000000000000, 0.0000000000000000,
10141           10.000000000000000, 0.89999999999999991 },
10142 };
10143 const double toler215 = 2.5000000000000020e-13;
10144
10145 // Test data for a=20.000000000000000, b=0.50000000000000000, c=2.0000000000000000.
10146 // max(|f - f_GSL|): 48.000000000000000
10147 // max(|f - f_GSL| / |f_GSL|): 1.8556481344875154e-15
10148 const testcase_hyperg<double>
10149 data216[19] =
10150 {
10151   { 0.26690449940521549, 20.000000000000000, 0.50000000000000000,
10152           2.0000000000000000, -0.90000000000000002 },
10153   { 0.28252302866181833, 20.000000000000000, 0.50000000000000000,
10154           2.0000000000000000, -0.80000000000000004 },
10155   { 0.30123616141153836, 20.000000000000000, 0.50000000000000000,
10156           2.0000000000000000, -0.69999999999999996 },
10157   { 0.32421384687602633, 20.000000000000000, 0.50000000000000000,
10158           2.0000000000000000, -0.59999999999999998 },
10159   { 0.35334630811776774, 20.000000000000000, 0.50000000000000000,
10160           2.0000000000000000, -0.50000000000000000 },
10161   { 0.39191793127467028, 20.000000000000000, 0.50000000000000000,
10162           2.0000000000000000, -0.40000000000000002 },
10163   { 0.44620488618129195, 20.000000000000000, 0.50000000000000000,
10164           2.0000000000000000, -0.30000000000000004 },
10165   { 0.52980896919265719, 20.000000000000000, 0.50000000000000000,
10166           2.0000000000000000, -0.19999999999999996 },
10167   { 0.67754711477562324, 20.000000000000000, 0.50000000000000000,
10168           2.0000000000000000, -0.099999999999999978 },
10169   { 1.0000000000000000, 20.000000000000000, 0.50000000000000000,
10170           2.0000000000000000, 0.0000000000000000 },
10171   { 1.9567557771780317, 20.000000000000000, 0.50000000000000000,
10172           2.0000000000000000, 0.10000000000000009 },
10173   { 6.1816042148333086, 20.000000000000000, 0.50000000000000000,
10174           2.0000000000000000, 0.19999999999999996 },
10175   { 35.653088618561227, 20.000000000000000, 0.50000000000000000,
10176           2.0000000000000000, 0.30000000000000004 },
10177   { 377.51482843179906, 20.000000000000000, 0.50000000000000000,
10178           2.0000000000000000, 0.39999999999999991 },
10179   { 7645.8816551195359, 20.000000000000000, 0.50000000000000000,
10180           2.0000000000000000, 0.50000000000000000 },
10181   { 354791.74537980522, 20.000000000000000, 0.50000000000000000,
10182           2.0000000000000000, 0.60000000000000009 },
10183   { 57009889.966638684, 20.000000000000000, 0.50000000000000000,
10184           2.0000000000000000, 0.69999999999999996 },
10185   { 83771357024.863937, 20.000000000000000, 0.50000000000000000,
10186           2.0000000000000000, 0.80000000000000004 },
10187   { 25866972896376408., 20.000000000000000, 0.50000000000000000,
10188           2.0000000000000000, 0.89999999999999991 },
10189 };
10190 const double toler216 = 2.5000000000000020e-13;
10191
10192 // Test data for a=20.000000000000000, b=0.50000000000000000, c=4.0000000000000000.
10193 // max(|f - f_GSL|): 0.011718750000000000
10194 // max(|f - f_GSL| / |f_GSL|): 1.7519521419034139e-15
10195 const testcase_hyperg<double>
10196 data217[19] =
10197 {
10198   { 0.40342659436153389, 20.000000000000000, 0.50000000000000000,
10199           4.0000000000000000, -0.90000000000000002 },
10200   { 0.42420571192034318, 20.000000000000000, 0.50000000000000000,
10201           4.0000000000000000, -0.80000000000000004 },
10202   { 0.44852768286073041, 20.000000000000000, 0.50000000000000000,
10203           4.0000000000000000, -0.69999999999999996 },
10204   { 0.47751245808592863, 20.000000000000000, 0.50000000000000000,
10205           4.0000000000000000, -0.59999999999999998 },
10206   { 0.51283632632707765, 20.000000000000000, 0.50000000000000000,
10207           4.0000000000000000, -0.50000000000000000 },
10208   { 0.55713468814894329, 20.000000000000000, 0.50000000000000000,
10209           4.0000000000000000, -0.40000000000000002 },
10210   { 0.61481320817757334, 20.000000000000000, 0.50000000000000000,
10211           4.0000000000000000, -0.30000000000000004 },
10212   { 0.69383483410097213, 20.000000000000000, 0.50000000000000000,
10213           4.0000000000000000, -0.19999999999999996 },
10214   { 0.81012002526006044, 20.000000000000000, 0.50000000000000000,
10215           4.0000000000000000, -0.099999999999999978 },
10216   { 1.0000000000000000, 20.000000000000000, 0.50000000000000000,
10217           4.0000000000000000, 0.0000000000000000 },
10218   { 1.3622225506603911, 20.000000000000000, 0.50000000000000000,
10219           4.0000000000000000, 0.10000000000000009 },
10220   { 2.2349513086109001, 20.000000000000000, 0.50000000000000000,
10221           4.0000000000000000, 0.19999999999999996 },
10222   { 5.1864917536761723, 20.000000000000000, 0.50000000000000000,
10223           4.0000000000000000, 0.30000000000000004 },
10224   { 21.020560423779411, 20.000000000000000, 0.50000000000000000,
10225           4.0000000000000000, 0.39999999999999991 },
10226   { 175.19649997100612, 20.000000000000000, 0.50000000000000000,
10227           4.0000000000000000, 0.50000000000000000 },
10228   { 3467.1587803688708, 20.000000000000000, 0.50000000000000000,
10229           4.0000000000000000, 0.60000000000000009 },
10230   { 225003.88683445856, 20.000000000000000, 0.50000000000000000,
10231           4.0000000000000000, 0.69999999999999996 },
10232   { 110837674.65652709, 20.000000000000000, 0.50000000000000000,
10233           4.0000000000000000, 0.80000000000000004 },
10234   { 6688966964170.6807, 20.000000000000000, 0.50000000000000000,
10235           4.0000000000000000, 0.89999999999999991 },
10236 };
10237 const double toler217 = 2.5000000000000020e-13;
10238
10239 // Test data for a=20.000000000000000, b=0.50000000000000000, c=6.0000000000000000.
10240 // max(|f - f_GSL|): 1.4305114746093750e-05
10241 // max(|f - f_GSL| / |f_GSL|): 1.9261147266354006e-15
10242 const testcase_hyperg<double>
10243 data218[19] =
10244 {
10245   { 0.48716309885816822, 20.000000000000000, 0.50000000000000000,
10246           6.0000000000000000, -0.90000000000000002 },
10247   { 0.50965859152542337, 20.000000000000000, 0.50000000000000000,
10248           6.0000000000000000, -0.80000000000000004 },
10249   { 0.53554809210658938, 20.000000000000000, 0.50000000000000000,
10250           6.0000000000000000, -0.69999999999999996 },
10251   { 0.56576689207507136, 20.000000000000000, 0.50000000000000000,
10252           6.0000000000000000, -0.59999999999999998 },
10253   { 0.60164849637133655, 20.000000000000000, 0.50000000000000000,
10254           6.0000000000000000, -0.50000000000000000 },
10255   { 0.64516711595404364, 20.000000000000000, 0.50000000000000000,
10256           6.0000000000000000, -0.40000000000000002 },
10257   { 0.69938278735493520, 20.000000000000000, 0.50000000000000000,
10258           6.0000000000000000, -0.30000000000000004 },
10259   { 0.76931621518401860, 20.000000000000000, 0.50000000000000000,
10260           6.0000000000000000, -0.19999999999999996 },
10261   { 0.86381808725530662, 20.000000000000000, 0.50000000000000000,
10262           6.0000000000000000, -0.099999999999999978 },
10263   { 1.0000000000000000, 20.000000000000000, 0.50000000000000000,
10264           6.0000000000000000, 0.0000000000000000 },
10265   { 1.2152051956815531, 20.000000000000000, 0.50000000000000000,
10266           6.0000000000000000, 0.10000000000000009 },
10267   { 1.6052546785425543, 20.000000000000000, 0.50000000000000000,
10268           6.0000000000000000, 0.19999999999999996 },
10269   { 2.4765586046012635, 20.000000000000000, 0.50000000000000000,
10270           6.0000000000000000, 0.30000000000000004 },
10271   { 5.1564492216997486, 20.000000000000000, 0.50000000000000000,
10272           6.0000000000000000, 0.39999999999999991 },
10273   { 18.446158392136365, 20.000000000000000, 0.50000000000000000,
10274           6.0000000000000000, 0.50000000000000000 },
10275   { 150.44577670123971, 20.000000000000000, 0.50000000000000000,
10276           6.0000000000000000, 0.60000000000000009 },
10277   { 3862.6317400115768, 20.000000000000000, 0.50000000000000000,
10278           6.0000000000000000, 0.69999999999999996 },
10279   { 632428.34833625401, 20.000000000000000, 0.50000000000000000,
10280           6.0000000000000000, 0.80000000000000004 },
10281   { 7426927663.3808765, 20.000000000000000, 0.50000000000000000,
10282           6.0000000000000000, 0.89999999999999991 },
10283 };
10284 const double toler218 = 2.5000000000000020e-13;
10285
10286 // Test data for a=20.000000000000000, b=0.50000000000000000, c=8.0000000000000000.
10287 // max(|f - f_GSL|): 4.0978193283081055e-08
10288 // max(|f - f_GSL| / |f_GSL|): 1.7692881266931737e-15
10289 const testcase_hyperg<double>
10290 data219[19] =
10291 {
10292   { 0.54703266209548373, 20.000000000000000, 0.50000000000000000,
10293           8.0000000000000000, -0.90000000000000002 },
10294   { 0.56997321774144960, 20.000000000000000, 0.50000000000000000,
10295           8.0000000000000000, -0.80000000000000004 },
10296   { 0.59603026159654982, 20.000000000000000, 0.50000000000000000,
10297           8.0000000000000000, -0.69999999999999996 },
10298   { 0.62596978851120511, 20.000000000000000, 0.50000000000000000,
10299           8.0000000000000000, -0.59999999999999998 },
10300   { 0.66084565876898915, 20.000000000000000, 0.50000000000000000,
10301           8.0000000000000000, -0.50000000000000000 },
10302   { 0.70215256667232873, 20.000000000000000, 0.50000000000000000,
10303           8.0000000000000000, -0.40000000000000002 },
10304   { 0.75208916592008557, 20.000000000000000, 0.50000000000000000,
10305           8.0000000000000000, -0.30000000000000004 },
10306   { 0.81403631111658625, 20.000000000000000, 0.50000000000000000,
10307           8.0000000000000000, -0.19999999999999996 },
10308   { 0.89348608489854597, 20.000000000000000, 0.50000000000000000,
10309           8.0000000000000000, -0.099999999999999978 },
10310   { 1.0000000000000000, 20.000000000000000, 0.50000000000000000,
10311           8.0000000000000000, 0.0000000000000000 },
10312   { 1.1517793185139173, 20.000000000000000, 0.50000000000000000,
10313           8.0000000000000000, 0.10000000000000009 },
10314   { 1.3878110313656598, 20.000000000000000, 0.50000000000000000,
10315           8.0000000000000000, 0.19999999999999996 },
10316   { 1.8061071794572381, 20.000000000000000, 0.50000000000000000,
10317           8.0000000000000000, 0.30000000000000004 },
10318   { 2.7148594517859586, 20.000000000000000, 0.50000000000000000,
10319           8.0000000000000000, 0.39999999999999991 },
10320   { 5.4529435709049361, 20.000000000000000, 0.50000000000000000,
10321           8.0000000000000000, 0.50000000000000000 },
10322   { 19.487310275377109, 20.000000000000000, 0.50000000000000000,
10323           8.0000000000000000, 0.60000000000000009 },
10324   { 191.69079165937470, 20.000000000000000, 0.50000000000000000,
10325           8.0000000000000000, 0.69999999999999996 },
10326   { 10218.543981792311, 20.000000000000000, 0.50000000000000000,
10327           8.0000000000000000, 0.80000000000000004 },
10328   { 23160836.646583911, 20.000000000000000, 0.50000000000000000,
10329           8.0000000000000000, 0.89999999999999991 },
10330 };
10331 const double toler219 = 2.5000000000000020e-13;
10332
10333 // Test data for a=20.000000000000000, b=0.50000000000000000, c=10.000000000000000.
10334 // max(|f - f_GSL|): 2.9103830456733704e-10
10335 // max(|f - f_GSL| / |f_GSL|): 1.6694673196526831e-15
10336 const testcase_hyperg<double>
10337 data220[19] =
10338 {
10339   { 0.59292067298616025, 20.000000000000000, 0.50000000000000000,
10340           10.000000000000000, -0.90000000000000002 },
10341   { 0.61572496720679892, 20.000000000000000, 0.50000000000000000,
10342           10.000000000000000, -0.80000000000000004 },
10343   { 0.64135339122875590, 20.000000000000000, 0.50000000000000000,
10344           10.000000000000000, -0.69999999999999996 },
10345   { 0.67043457419280461, 20.000000000000000, 0.50000000000000000,
10346           10.000000000000000, -0.59999999999999998 },
10347   { 0.70380956268170969, 20.000000000000000, 0.50000000000000000,
10348           10.000000000000000, -0.50000000000000000 },
10349   { 0.74263251901495220, 20.000000000000000, 0.50000000000000000,
10350           10.000000000000000, -0.40000000000000002 },
10351   { 0.78853555445528256, 20.000000000000000, 0.50000000000000000,
10352           10.000000000000000, -0.30000000000000004 },
10353   { 0.84391122775673755, 20.000000000000000, 0.50000000000000000,
10354           10.000000000000000, -0.19999999999999996 },
10355   { 0.91242401018807373, 20.000000000000000, 0.50000000000000000,
10356           10.000000000000000, -0.099999999999999978 },
10357   { 1.0000000000000000, 20.000000000000000, 0.50000000000000000,
10358           10.000000000000000, 0.0000000000000000 },
10359   { 1.1169059681274873, 20.000000000000000, 0.50000000000000000,
10360           10.000000000000000, 0.10000000000000009 },
10361   { 1.2825928301302667, 20.000000000000000, 0.50000000000000000,
10362           10.000000000000000, 0.19999999999999996 },
10363   { 1.5385937789924939, 20.000000000000000, 0.50000000000000000,
10364           10.000000000000000, 0.30000000000000004 },
10365   { 1.9895771187893898, 20.000000000000000, 0.50000000000000000,
10366           10.000000000000000, 0.39999999999999991 },
10367   { 2.9707335806970168, 20.000000000000000, 0.50000000000000000,
10368           10.000000000000000, 0.50000000000000000 },
10369   { 6.0299506157180467, 20.000000000000000, 0.50000000000000000,
10370           10.000000000000000, 0.60000000000000009 },
10371   { 24.259090336955577, 20.000000000000000, 0.50000000000000000,
10372           10.000000000000000, 0.69999999999999996 },
10373   { 406.27267173257223, 20.000000000000000, 0.50000000000000000,
10374           10.000000000000000, 0.80000000000000004 },
10375   { 174330.03997220192, 20.000000000000000, 0.50000000000000000,
10376           10.000000000000000, 0.89999999999999991 },
10377 };
10378 const double toler220 = 2.5000000000000020e-13;
10379
10380 // Test data for a=20.000000000000000, b=1.0000000000000000, c=2.0000000000000000.
10381 // max(|f - f_GSL|): 1024.0000000000000
10382 // max(|f - f_GSL| / |f_GSL|): 1.7510400000000382e-15
10383 const testcase_hyperg<double>
10384 data221[19] =
10385 {
10386   { 0.058479236576646311, 20.000000000000000, 1.0000000000000000,
10387           2.0000000000000000, -0.90000000000000002 },
10388   { 0.065788544763137821, 20.000000000000000, 1.0000000000000000,
10389           2.0000000000000000, -0.80000000000000004 },
10390   { 0.075184824937824482, 20.000000000000000, 1.0000000000000000,
10391           2.0000000000000000, -0.69999999999999996 },
10392   { 0.087707688693157121, 20.000000000000000, 1.0000000000000000,
10393           2.0000000000000000, -0.59999999999999998 },
10394   { 0.10521567442213345, 20.000000000000000, 1.0000000000000000,
10395           2.0000000000000000, -0.50000000000000000 },
10396   { 0.13135877960541550, 20.000000000000000, 1.0000000000000000,
10397           2.0000000000000000, -0.40000000000000002 },
10398   { 0.17423854066297098, 20.000000000000000, 1.0000000000000000,
10399           2.0000000000000000, -0.30000000000000004 },
10400   { 0.25492082527223520, 20.000000000000000, 1.0000000000000000,
10401           2.0000000000000000, -0.19999999999999996 },
10402   { 0.44025895219654843, 20.000000000000000, 1.0000000000000000,
10403           2.0000000000000000, -0.099999999999999978 },
10404   { 1.0000000000000000, 20.000000000000000, 1.0000000000000000,
10405           2.0000000000000000, 0.0000000000000000 },
10406   { 3.3698615820910360, 20.000000000000000, 1.0000000000000000,
10407           2.0000000000000000, 0.10000000000000009 },
10408   { 17.997089220808483, 20.000000000000000, 1.0000000000000000,
10409           2.0000000000000000, 0.19999999999999996 },
10410   { 153.73298291118951, 20.000000000000000, 1.0000000000000000,
10411           2.0000000000000000, 0.30000000000000004 },
10412   { 2159.1667587825627, 20.000000000000000, 1.0000000000000000,
10413           2.0000000000000000, 0.39999999999999991 },
10414   { 55188.105263157879, 20.000000000000000, 1.0000000000000000,
10415           2.0000000000000000, 0.50000000000000000 },
10416   { 3191209.3921857267, 20.000000000000000, 1.0000000000000000,
10417           2.0000000000000000, 0.60000000000000009 },
10418   { 646910975.29152656, 20.000000000000000, 1.0000000000000000,
10419           2.0000000000000000, 0.69999999999999996 },
10420   { 1254834626850.2659, 20.000000000000000, 1.0000000000000000,
10421           2.0000000000000000, 0.80000000000000004 },
10422   { 5.8479532163741414e+17, 20.000000000000000, 1.0000000000000000,
10423           2.0000000000000000, 0.89999999999999991 },
10424 };
10425 const double toler221 = 2.5000000000000020e-13;
10426
10427 // Test data for a=20.000000000000000, b=1.0000000000000000, c=4.0000000000000000.
10428 // max(|f - f_GSL|): 0.21875000000000000
10429 // max(|f - f_GSL| / |f_GSL|): 1.5452521875000274e-15
10430 const testcase_hyperg<double>
10431 data222[19] =
10432 {
10433   { 0.15519511120894958, 20.000000000000000, 1.0000000000000000,
10434           4.0000000000000000, -0.90000000000000002 },
10435   { 0.17197165701692893, 20.000000000000000, 1.0000000000000000,
10436           4.0000000000000000, -0.80000000000000004 },
10437   { 0.19276847315207329, 20.000000000000000, 1.0000000000000000,
10438           4.0000000000000000, -0.69999999999999996 },
10439   { 0.21920107206179093, 20.000000000000000, 1.0000000000000000,
10440           4.0000000000000000, -0.59999999999999998 },
10441   { 0.25386158960390576, 20.000000000000000, 1.0000000000000000,
10442           4.0000000000000000, -0.50000000000000000 },
10443   { 0.30115970686600674, 20.000000000000000, 1.0000000000000000,
10444           4.0000000000000000, -0.40000000000000002 },
10445   { 0.36916408142057106, 20.000000000000000, 1.0000000000000000,
10446           4.0000000000000000, -0.30000000000000004 },
10447   { 0.47406175901569547, 20.000000000000000, 1.0000000000000000,
10448           4.0000000000000000, -0.19999999999999996 },
10449   { 0.65237908266239919, 20.000000000000000, 1.0000000000000000,
10450           4.0000000000000000, -0.099999999999999978 },
10451   { 1.0000000000000000, 20.000000000000000, 1.0000000000000000,
10452           4.0000000000000000, 0.0000000000000000 },
10453   { 1.8227213362622299, 20.000000000000000, 1.0000000000000000,
10454           4.0000000000000000, 0.10000000000000009 },
10455   { 4.3716358339791332, 20.000000000000000, 1.0000000000000000,
10456           4.0000000000000000, 0.19999999999999996 },
10457   { 15.670841312959222, 20.000000000000000, 1.0000000000000000,
10458           4.0000000000000000, 0.30000000000000004 },
10459   { 94.742651122760179, 20.000000000000000, 1.0000000000000000,
10460           4.0000000000000000, 0.39999999999999991 },
10461   { 1081.7275541795671, 20.000000000000000, 1.0000000000000000,
10462           4.0000000000000000, 0.50000000000000000 },
10463   { 27809.787731465960, 20.000000000000000, 1.0000000000000000,
10464           4.0000000000000000, 0.60000000000000009 },
10465   { 2329811.1715181042, 20.000000000000000, 1.0000000000000000,
10466           4.0000000000000000, 0.69999999999999996 },
10467   { 1537787532.6780224, 20.000000000000000, 1.0000000000000000,
10468           4.0000000000000000, 0.80000000000000004 },
10469   { 141562653506999.88, 20.000000000000000, 1.0000000000000000,
10470           4.0000000000000000, 0.89999999999999991 },
10471 };
10472 const double toler222 = 2.5000000000000020e-13;
10473
10474 // Test data for a=20.000000000000000, b=1.0000000000000000, c=6.0000000000000000.
10475 // max(|f - f_GSL|): 0.00024414062500000000
10476 // max(|f - f_GSL| / |f_GSL|): 1.6763226855512825e-15
10477 const testcase_hyperg<double>
10478 data223[19] =
10479 {
10480   { 0.23253645591196551, 20.000000000000000, 1.0000000000000000,
10481           6.0000000000000000, -0.90000000000000002 },
10482   { 0.25484220947068342, 20.000000000000000, 1.0000000000000000,
10483           6.0000000000000000, -0.80000000000000004 },
10484   { 0.28181987881113812, 20.000000000000000, 1.0000000000000000,
10485           6.0000000000000000, -0.69999999999999996 },
10486   { 0.31508211677735770, 20.000000000000000, 1.0000000000000000,
10487           6.0000000000000000, -0.59999999999999998 },
10488   { 0.35706285886959610, 20.000000000000000, 1.0000000000000000,
10489           6.0000000000000000, -0.50000000000000000 },
10490   { 0.41160053409238206, 20.000000000000000, 1.0000000000000000,
10491           6.0000000000000000, -0.40000000000000002 },
10492   { 0.48508083111181960, 20.000000000000000, 1.0000000000000000,
10493           6.0000000000000000, -0.30000000000000004 },
10494   { 0.58885194371375260, 20.000000000000000, 1.0000000000000000,
10495           6.0000000000000000, -0.19999999999999996 },
10496   { 0.74482241684585782, 20.000000000000000, 1.0000000000000000,
10497           6.0000000000000000, -0.099999999999999978 },
10498   { 1.0000000000000000, 20.000000000000000, 1.0000000000000000,
10499           6.0000000000000000, 0.0000000000000000 },
10500   { 1.4700356864367146, 20.000000000000000, 1.0000000000000000,
10501           6.0000000000000000, 0.10000000000000009 },
10502   { 2.4955144453055143, 20.000000000000000, 1.0000000000000000,
10503           6.0000000000000000, 0.19999999999999996 },
10504   { 5.3506594845833471, 20.000000000000000, 1.0000000000000000,
10505           6.0000000000000000, 0.30000000000000004 },
10506   { 16.618413752184221, 20.000000000000000, 1.0000000000000000,
10507           6.0000000000000000, 0.39999999999999991 },
10508   { 89.310629514963878, 20.000000000000000, 1.0000000000000000,
10509           6.0000000000000000, 0.50000000000000000 },
10510   { 1029.3439900542960, 20.000000000000000, 1.0000000000000000,
10511           6.0000000000000000, 0.60000000000000009 },
10512   { 35659.847863372350, 20.000000000000000, 1.0000000000000000,
10513           6.0000000000000000, 0.69999999999999996 },
10514   { 8009309.6233230168, 20.000000000000000, 1.0000000000000000,
10515           6.0000000000000000, 0.80000000000000004 },
10516   { 145640590027.39731, 20.000000000000000, 1.0000000000000000,
10517           6.0000000000000000, 0.89999999999999991 },
10518 };
10519 const double toler223 = 2.5000000000000020e-13;
10520
10521 // Test data for a=20.000000000000000, b=1.0000000000000000, c=8.0000000000000000.
10522 // max(|f - f_GSL|): 7.1525573730468750e-07
10523 // max(|f - f_GSL| / |f_GSL|): 1.7237966704608456e-15
10524 const testcase_hyperg<double>
10525 data224[19] =
10526 {
10527   { 0.29614148314592509, 20.000000000000000, 1.0000000000000000,
10528           8.0000000000000000, -0.90000000000000002 },
10529   { 0.32176277356430805, 20.000000000000000, 1.0000000000000000,
10530           8.0000000000000000, -0.80000000000000004 },
10531   { 0.35217870475550511, 20.000000000000000, 1.0000000000000000,
10532           8.0000000000000000, -0.69999999999999996 },
10533   { 0.38885270445515113, 20.000000000000000, 1.0000000000000000,
10534           8.0000000000000000, -0.59999999999999998 },
10535   { 0.43389978380608418, 20.000000000000000, 1.0000000000000000,
10536           8.0000000000000000, -0.50000000000000000 },
10537   { 0.49048612522269458, 20.000000000000000, 1.0000000000000000,
10538           8.0000000000000000, -0.40000000000000002 },
10539   { 0.56355539635634599, 20.000000000000000, 1.0000000000000000,
10540           8.0000000000000000, -0.30000000000000004 },
10541   { 0.66123153239117671, 20.000000000000000, 1.0000000000000000,
10542           8.0000000000000000, -0.19999999999999996 },
10543   { 0.79773363961895416, 20.000000000000000, 1.0000000000000000,
10544           8.0000000000000000, -0.099999999999999978 },
10545   { 1.0000000000000000, 20.000000000000000, 1.0000000000000000,
10546           8.0000000000000000, 0.0000000000000000 },
10547   { 1.3245132157016595, 20.000000000000000, 1.0000000000000000,
10548           8.0000000000000000, 0.10000000000000009 },
10549   { 1.9065148749742076, 20.000000000000000, 1.0000000000000000,
10550           8.0000000000000000, 0.19999999999999996 },
10551   { 3.1328798652457452, 20.000000000000000, 1.0000000000000000,
10552           8.0000000000000000, 0.30000000000000004 },
10553   { 6.4172532944033476, 20.000000000000000, 1.0000000000000000,
10554           8.0000000000000000, 0.39999999999999991 },
10555   { 19.071683734222436, 20.000000000000000, 1.0000000000000000,
10556           8.0000000000000000, 0.50000000000000000 },
10557   { 104.41989641582512, 20.000000000000000, 1.0000000000000000,
10558           8.0000000000000000, 0.60000000000000009 },
10559   { 1510.5743992324240, 20.000000000000000, 1.0000000000000000,
10560           8.0000000000000000, 0.69999999999999996 },
10561   { 115518.14360562043, 20.000000000000000, 1.0000000000000000,
10562           8.0000000000000000, 0.80000000000000004 },
10563   { 414930455.29173034, 20.000000000000000, 1.0000000000000000,
10564           8.0000000000000000, 0.89999999999999991 },
10565 };
10566 const double toler224 = 2.5000000000000020e-13;
10567
10568 // Test data for a=20.000000000000000, b=1.0000000000000000, c=10.000000000000000.
10569 // max(|f - f_GSL|): 4.6566128730773926e-09
10570 // max(|f - f_GSL| / |f_GSL|): 1.6665618165272271e-15
10571 const testcase_hyperg<double>
10572 data225[19] =
10573 {
10574   { 0.34954259539177701, 20.000000000000000, 1.0000000000000000,
10575           10.000000000000000, -0.90000000000000002 },
10576   { 0.37714038609235134, 20.000000000000000, 1.0000000000000000,
10577           10.000000000000000, -0.80000000000000004 },
10578   { 0.40942091659748781, 20.000000000000000, 1.0000000000000000,
10579           10.000000000000000, -0.69999999999999996 },
10580   { 0.44767109606846422, 20.000000000000000, 1.0000000000000000,
10581           10.000000000000000, -0.59999999999999998 },
10582   { 0.49368984777532227, 20.000000000000000, 1.0000000000000000,
10583           10.000000000000000, -0.50000000000000000 },
10584   { 0.55006638216982295, 20.000000000000000, 1.0000000000000000,
10585           10.000000000000000, -0.40000000000000002 },
10586   { 0.62065830207408890, 20.000000000000000, 1.0000000000000000,
10587           10.000000000000000, -0.30000000000000004 },
10588   { 0.71145554513583764, 20.000000000000000, 1.0000000000000000,
10589           10.000000000000000, -0.19999999999999996 },
10590   { 0.83223839666914623, 20.000000000000000, 1.0000000000000000,
10591           10.000000000000000, -0.099999999999999978 },
10592   { 1.0000000000000000, 20.000000000000000, 1.0000000000000000,
10593           10.000000000000000, 0.0000000000000000 },
10594   { 1.2466748028187731, 20.000000000000000, 1.0000000000000000,
10595           10.000000000000000, 0.10000000000000009 },
10596   { 1.6386752725021749, 20.000000000000000, 1.0000000000000000,
10597           10.000000000000000, 0.19999999999999996 },
10598   { 2.3340068725479681, 20.000000000000000, 1.0000000000000000,
10599           10.000000000000000, 0.30000000000000004 },
10600   { 3.7848108613132054, 20.000000000000000, 1.0000000000000000,
10601           10.000000000000000, 0.39999999999999991 },
10602   { 7.6754638550304133, 20.000000000000000, 1.0000000000000000,
10603           10.000000000000000, 0.50000000000000000 },
10604   { 23.344217312927277, 20.000000000000000, 1.0000000000000000,
10605           10.000000000000000, 0.60000000000000009 },
10606   { 149.83491198246921, 20.000000000000000, 1.0000000000000000,
10607           10.000000000000000, 0.69999999999999996 },
10608   { 3936.9253501916060, 20.000000000000000, 1.0000000000000000,
10609           10.000000000000000, 0.80000000000000004 },
10610   { 2794143.5036480185, 20.000000000000000, 1.0000000000000000,
10611           10.000000000000000, 0.89999999999999991 },
10612 };
10613 const double toler225 = 2.5000000000000020e-13;
10614
10615 // Test data for a=20.000000000000000, b=2.0000000000000000, c=2.0000000000000000.
10616 // max(|f - f_GSL|): 425984.00000000000
10617 // max(|f - f_GSL| / |f_GSL|): 5.4067200000000052e-15
10618 const testcase_hyperg<double>
10619 data226[19] =
10620 {
10621   { 2.6602838683283435e-06, 20.000000000000000, 2.0000000000000000,
10622           2.0000000000000000, -0.90000000000000002 },
10623   { 7.8442223930072316e-06, 20.000000000000000, 2.0000000000000000,
10624           2.0000000000000000, -0.80000000000000004 },
10625   { 2.4604898194634598e-05, 20.000000000000000, 2.0000000000000000,
10626           2.0000000000000000, -0.69999999999999996 },
10627   { 8.2718061255302686e-05, 20.000000000000000, 2.0000000000000000,
10628           2.0000000000000000, -0.59999999999999998 },
10629   { 0.00030072865982171723, 20.000000000000000, 2.0000000000000000,
10630           2.0000000000000000, -0.50000000000000000 },
10631   { 0.0011951964277455193, 20.000000000000000, 2.0000000000000000,
10632           2.0000000000000000, -0.40000000000000002 },
10633   { 0.0052617832469731814, 20.000000000000000, 2.0000000000000000,
10634           2.0000000000000000, -0.30000000000000004 },
10635   { 0.026084053304588847, 20.000000000000000, 2.0000000000000000,
10636           2.0000000000000000, -0.19999999999999996 },
10637   { 0.14864362802414346, 20.000000000000000, 2.0000000000000000,
10638           2.0000000000000000, -0.099999999999999978 },
10639   { 1.0000000000000000, 20.000000000000000, 2.0000000000000000,
10640           2.0000000000000000, 0.0000000000000000 },
10641   { 8.2252633399699757, 20.000000000000000, 2.0000000000000000,
10642           2.0000000000000000, 0.10000000000000009 },
10643   { 86.736173798840269, 20.000000000000000, 2.0000000000000000,
10644           2.0000000000000000, 0.19999999999999996 },
10645   { 1253.2542894196865, 20.000000000000000, 2.0000000000000000,
10646           2.0000000000000000, 0.30000000000000004 },
10647   { 27351.112277912434, 20.000000000000000, 2.0000000000000000,
10648           2.0000000000000000, 0.39999999999999991 },
10649   { 1048576.0000000000, 20.000000000000000, 2.0000000000000000,
10650           2.0000000000000000, 0.50000000000000000 },
10651   { 90949470.177293226, 20.000000000000000, 2.0000000000000000,
10652           2.0000000000000000, 0.60000000000000009 },
10653   { 28679719907.924358, 20.000000000000000, 2.0000000000000000,
10654           2.0000000000000000, 0.69999999999999996 },
10655   { 95367431640624.906, 20.000000000000000, 2.0000000000000000,
10656           2.0000000000000000, 0.80000000000000004 },
10657   { 9.9999999999998657e+19, 20.000000000000000, 2.0000000000000000,
10658           2.0000000000000000, 0.89999999999999991 },
10659 };
10660 const double toler226 = 5.0000000000000039e-13;
10661
10662 // Test data for a=20.000000000000000, b=2.0000000000000000, c=4.0000000000000000.
10663 // max(|f - f_GSL|): 40.000000000000000
10664 // max(|f - f_GSL| / |f_GSL|): 1.8712609271523571e-15
10665 const testcase_hyperg<double>
10666 data227[19] =
10667 {
10668   { 0.018828092583720632, 20.000000000000000, 2.0000000000000000,
10669           4.0000000000000000, -0.90000000000000002 },
10670   { 0.023381944060455365, 20.000000000000000, 2.0000000000000000,
10671           4.0000000000000000, -0.80000000000000004 },
10672   { 0.029789623984280887, 20.000000000000000, 2.0000000000000000,
10673           4.0000000000000000, -0.69999999999999996 },
10674   { 0.039191021482500567, 20.000000000000000, 2.0000000000000000,
10675           4.0000000000000000, -0.59999999999999998 },
10676   { 0.053727813036721528, 20.000000000000000, 2.0000000000000000,
10677           4.0000000000000000, -0.50000000000000000 },
10678   { 0.077762010061669079, 20.000000000000000, 2.0000000000000000,
10679           4.0000000000000000, -0.40000000000000002 },
10680   { 0.12110505620123306, 20.000000000000000, 2.0000000000000000,
10681           4.0000000000000000, -0.30000000000000004 },
10682   { 0.20870149809080582, 20.000000000000000, 2.0000000000000000,
10683           4.0000000000000000, -0.19999999999999996 },
10684   { 0.41429234328785763, 20.000000000000000, 2.0000000000000000,
10685           4.0000000000000000, -0.099999999999999978 },
10686   { 1.0000000000000000, 20.000000000000000, 2.0000000000000000,
10687           4.0000000000000000, 0.0000000000000000 },
10688   { 3.1308087404153113, 20.000000000000000, 2.0000000000000000,
10689           4.0000000000000000, 0.10000000000000009 },
10690   { 13.586180626453050, 20.000000000000000, 2.0000000000000000,
10691           4.0000000000000000, 0.19999999999999996 },
10692   { 87.117304082784415, 20.000000000000000, 2.0000000000000000,
10693           4.0000000000000000, 0.30000000000000004 },
10694   { 889.26474381242826, 20.000000000000000, 2.0000000000000000,
10695           4.0000000000000000, 0.39999999999999991 },
10696   { 16231.913312693494, 20.000000000000000, 2.0000000000000000,
10697           4.0000000000000000, 0.50000000000000000 },
10698   { 653537.51168945129, 20.000000000000000, 2.0000000000000000,
10699           4.0000000000000000, 0.60000000000000009 },
10700   { 87756230.793848589, 20.000000000000000, 2.0000000000000000,
10701           4.0000000000000000, 0.69999999999999996 },
10702   { 101493977171.74945, 20.000000000000000, 2.0000000000000000,
10703           4.0000000000000000, 0.80000000000000004 },
10704   { 21375960679556916., 20.000000000000000, 2.0000000000000000,
10705           4.0000000000000000, 0.89999999999999991 },
10706 };
10707 const double toler227 = 2.5000000000000020e-13;
10708
10709 // Test data for a=20.000000000000000, b=2.0000000000000000, c=6.0000000000000000.
10710 // max(|f - f_GSL|): 0.031250000000000000
10711 // max(|f - f_GSL| / |f_GSL|): 1.6379336164122315e-15
10712 const testcase_hyperg<double>
10713 data228[19] =
10714 {
10715   { 0.049200410661854238, 20.000000000000000, 2.0000000000000000,
10716           6.0000000000000000, -0.90000000000000002 },
10717   { 0.059460876757152607, 20.000000000000000, 2.0000000000000000,
10718           6.0000000000000000, -0.80000000000000004 },
10719   { 0.073244762686653225, 20.000000000000000, 2.0000000000000000,
10720           6.0000000000000000, -0.69999999999999996 },
10721   { 0.092334626017932769, 20.000000000000000, 2.0000000000000000,
10722           6.0000000000000000, -0.59999999999999998 },
10723   { 0.11976760350696856, 20.000000000000000, 2.0000000000000000,
10724           6.0000000000000000, -0.50000000000000000 },
10725   { 0.16102414609169408, 20.000000000000000, 2.0000000000000000,
10726           6.0000000000000000, -0.40000000000000002 },
10727   { 0.22670456785796225, 20.000000000000000, 2.0000000000000000,
10728           6.0000000000000000, -0.30000000000000004 },
10729   { 0.33912903252727361, 20.000000000000000, 2.0000000000000000,
10730           6.0000000000000000, -0.19999999999999996 },
10731   { 0.55049794600858049, 20.000000000000000, 2.0000000000000000,
10732           6.0000000000000000, -0.099999999999999978 },
10733   { 1.0000000000000000, 20.000000000000000, 2.0000000000000000,
10734           6.0000000000000000, 0.0000000000000000 },
10735   { 2.1254722872032232, 20.000000000000000, 2.0000000000000000,
10736           6.0000000000000000, 0.10000000000000009 },
10737   { 5.6261213886736172, 20.000000000000000, 2.0000000000000000,
10738           6.0000000000000000, 0.19999999999999996 },
10739   { 20.137315891130996, 20.000000000000000, 2.0000000000000000,
10740           6.0000000000000000, 0.30000000000000004 },
10741   { 108.04381584643853, 20.000000000000000, 2.0000000000000000,
10742           6.0000000000000000, 0.39999999999999991 },
10743   { 992.41692466460245, 20.000000000000000, 2.0000000000000000,
10744           6.0000000000000000, 0.50000000000000000 },
10745   { 19055.363816004465, 20.000000000000000, 2.0000000000000000,
10746           6.0000000000000000, 0.60000000000000009 },
10747   { 1105471.9504312086, 20.000000000000000, 2.0000000000000000,
10748           6.0000000000000000, 0.69999999999999996 },
10749   { 448521363.90608919, 20.000000000000000, 2.0000000000000000,
10750           6.0000000000000000, 0.80000000000000004 },
10751   { 19078917293639.004, 20.000000000000000, 2.0000000000000000,
10752           6.0000000000000000, 0.89999999999999991 },
10753 };
10754 const double toler228 = 2.5000000000000020e-13;
10755
10756 // Test data for a=20.000000000000000, b=2.0000000000000000, c=8.0000000000000000.
10757 // max(|f - f_GSL|): 8.3923339843750000e-05
10758 // max(|f - f_GSL| / |f_GSL|): 1.8221514326727084e-15
10759 const testcase_hyperg<double>
10760 data229[19] =
10761 {
10762   { 0.083753547015334884, 20.000000000000000, 2.0000000000000000,
10763           8.0000000000000000, -0.90000000000000002 },
10764   { 0.099238444687035743, 20.000000000000000, 2.0000000000000000,
10765           8.0000000000000000, -0.80000000000000004 },
10766   { 0.11938294012867748, 20.000000000000000, 2.0000000000000000,
10767           8.0000000000000000, -0.69999999999999996 },
10768   { 0.14622683905023329, 20.000000000000000, 2.0000000000000000,
10769           8.0000000000000000, -0.59999999999999998 },
10770   { 0.18303556733713028, 20.000000000000000, 2.0000000000000000,
10771           8.0000000000000000, -0.50000000000000000 },
10772   { 0.23527764069382412, 20.000000000000000, 2.0000000000000000,
10773           8.0000000000000000, -0.40000000000000002 },
10774   { 0.31261681740827085, 20.000000000000000, 2.0000000000000000,
10775           8.0000000000000000, -0.30000000000000004 },
10776   { 0.43327581880538862, 20.000000000000000, 2.0000000000000000,
10777           8.0000000000000000, -0.19999999999999996 },
10778   { 0.63445840637296680, 20.000000000000000, 2.0000000000000000,
10779           8.0000000000000000, -0.099999999999999978 },
10780   { 1.0000000000000000, 20.000000000000000, 2.0000000000000000,
10781           8.0000000000000000, 0.0000000000000000 },
10782   { 1.7438842395813297, 20.000000000000000, 2.0000000000000000,
10783           8.0000000000000000, 0.10000000000000009 },
10784   { 3.5070840938209269, 20.000000000000000, 2.0000000000000000,
10785           8.0000000000000000, 0.19999999999999996 },
10786   { 8.6573372006089713, 20.000000000000000, 2.0000000000000000,
10787           8.0000000000000000, 0.30000000000000004 },
10788   { 28.779342118408906, 20.000000000000000, 2.0000000000000000,
10789           8.0000000000000000, 0.39999999999999991 },
10790   { 147.50178613955714, 20.000000000000000, 2.0000000000000000,
10791           8.0000000000000000, 0.50000000000000000 },
10792   { 1427.1686016136398, 20.000000000000000, 2.0000000000000000,
10793           8.0000000000000000, 0.60000000000000009 },
10794   { 36780.643714655642, 20.000000000000000, 2.0000000000000000,
10795           8.0000000000000000, 0.69999999999999996 },
10796   { 5313869.6058585485, 20.000000000000000, 2.0000000000000000,
10797           8.0000000000000000, 0.80000000000000004 },
10798   { 46057280607.381966, 20.000000000000000, 2.0000000000000000,
10799           8.0000000000000000, 0.89999999999999991 },
10800 };
10801 const double toler229 = 2.5000000000000020e-13;
10802
10803 // Test data for a=20.000000000000000, b=2.0000000000000000, c=10.000000000000000.
10804 // max(|f - f_GSL|): 5.0663948059082031e-07
10805 // max(|f - f_GSL| / |f_GSL|): 1.9925479281070174e-15
10806 const testcase_hyperg<double>
10807 data230[19] =
10808 {
10809   { 0.11920045035073676, 20.000000000000000, 2.0000000000000000,
10810           10.000000000000000, -0.90000000000000002 },
10811   { 0.13907946814302777, 20.000000000000000, 2.0000000000000000,
10812           10.000000000000000, -0.80000000000000004 },
10813   { 0.16431439792559696, 20.000000000000000, 2.0000000000000000,
10814           10.000000000000000, -0.69999999999999996 },
10815   { 0.19698796016986989, 20.000000000000000, 2.0000000000000000,
10816           10.000000000000000, -0.59999999999999998 },
10817   { 0.24028510928790547, 20.000000000000000, 2.0000000000000000,
10818           10.000000000000000, -0.50000000000000000 },
10819   { 0.29926031296483113, 20.000000000000000, 2.0000000000000000,
10820           10.000000000000000, -0.40000000000000002 },
10821   { 0.38229327814229153, 20.000000000000000, 2.0000000000000000,
10822           10.000000000000000, -0.30000000000000004 },
10823   { 0.50402047283093132, 20.000000000000000, 2.0000000000000000,
10824           10.000000000000000, -0.19999999999999996 },
10825   { 0.69167261179586526, 20.000000000000000, 2.0000000000000000,
10826           10.000000000000000, -0.099999999999999978 },
10827   { 1.0000000000000000, 20.000000000000000, 2.0000000000000000,
10828           10.000000000000000, 0.0000000000000000 },
10829   { 1.5503152253394308, 20.000000000000000, 2.0000000000000000,
10830           10.000000000000000, 0.10000000000000009 },
10831   { 2.6469548193635797, 20.000000000000000, 2.0000000000000000,
10832           10.000000000000000, 0.19999999999999996 },
10833   { 5.1882631330566813, 20.000000000000000, 2.0000000000000000,
10834           10.000000000000000, 0.30000000000000004 },
10835   { 12.476792759124516, 20.000000000000000, 2.0000000000000000,
10836           10.000000000000000, 0.39999999999999991 },
10837   { 41.026391565091259, 20.000000000000000, 2.0000000000000000,
10838           10.000000000000000, 0.50000000000000000 },
10839   { 220.92584715988204, 20.000000000000000, 2.0000000000000000,
10840           10.000000000000000, 0.60000000000000009 },
10841   { 2677.0834450236207, 20.000000000000000, 2.0000000000000000,
10842           10.000000000000000, 0.69999999999999996 },
10843   { 141774.31260689779, 20.000000000000000, 2.0000000000000000,
10844           10.000000000000000, 0.80000000000000004 },
10845   { 254267148.83196995, 20.000000000000000, 2.0000000000000000,
10846           10.000000000000000, 0.89999999999999991 },
10847 };
10848 const double toler230 = 2.5000000000000020e-13;
10849
10850 // Test data for a=20.000000000000000, b=5.0000000000000000, c=2.0000000000000000.
10851 // max(|f - f_GSL|): 60129542144.000000
10852 // max(|f - f_GSL| / |f_GSL|): 2.0181355730233454e-15
10853 const testcase_hyperg<double>
10854 data231[19] =
10855 {
10856   { -1.8650300348790099e-05, 20.000000000000000, 5.0000000000000000,
10857           2.0000000000000000, -0.90000000000000002 },
10858   { -3.6488008415371319e-05, 20.000000000000000, 5.0000000000000000,
10859           2.0000000000000000, -0.80000000000000004 },
10860   { -6.4614776410961038e-05, 20.000000000000000, 5.0000000000000000,
10861           2.0000000000000000, -0.69999999999999996 },
10862   { -8.4495207102246549e-05, 20.000000000000000, 5.0000000000000000,
10863           2.0000000000000000, -0.59999999999999998 },
10864   { 2.2276197023825424e-05, 20.000000000000000, 5.0000000000000000,
10865           2.0000000000000000, -0.50000000000000000 },
10866   { 0.00070736115111447856, 20.000000000000000, 5.0000000000000000,
10867           2.0000000000000000, -0.40000000000000002 },
10868   { 0.0027829732057273854, 20.000000000000000, 5.0000000000000000,
10869           2.0000000000000000, -0.30000000000000004 },
10870   { 0.0013283545664371644, 20.000000000000000, 5.0000000000000000,
10871           2.0000000000000000, -0.19999999999999996 },
10872   { -0.041767631015048774, 20.000000000000000, 5.0000000000000000,
10873           2.0000000000000000, -0.099999999999999978 },
10874   { 1.0000000000000000, 20.000000000000000, 5.0000000000000000,
10875           2.0000000000000000, 0.0000000000000000 },
10876   { 61.311496556100003, 20.000000000000000, 5.0000000000000000,
10877           2.0000000000000000, 0.10000000000000009 },
10878   { 2397.4420539085681, 20.000000000000000, 5.0000000000000000,
10879           2.0000000000000000, 0.19999999999999996 },
10880   { 103687.60998586559, 20.000000000000000, 5.0000000000000000,
10881           2.0000000000000000, 0.30000000000000004 },
10882   { 6247196.6451068865, 20.000000000000000, 5.0000000000000000,
10883           2.0000000000000000, 0.39999999999999991 },
10884   { 656408576.00000000, 20.000000000000000, 5.0000000000000000,
10885           2.0000000000000000, 0.50000000000000000 },
10886   { 165334768098.54715, 20.000000000000000, 5.0000000000000000,
10887           2.0000000000000000, 0.60000000000000009 },
10888   { 175097125520816.81, 20.000000000000000, 5.0000000000000000,
10889           2.0000000000000000, 0.69999999999999996 },
10890   { 2.6818275451660257e+18, 20.000000000000000, 5.0000000000000000,
10891           2.0000000000000000, 0.80000000000000004 },
10892   { 2.9794599999999321e+25, 20.000000000000000, 5.0000000000000000,
10893           2.0000000000000000, 0.89999999999999991 },
10894 };
10895 const double toler231 = 2.5000000000000020e-13;
10896
10897 // Test data for a=20.000000000000000, b=5.0000000000000000, c=4.0000000000000000.
10898 // max(|f - f_GSL|): 9437184.0000000000
10899 // max(|f - f_GSL| / |f_GSL|): 2.0515617391304744e-15
10900 const testcase_hyperg<double>
10901 data232[19] =
10902 {
10903   { -3.6403884516313627e-06, 20.000000000000000, 5.0000000000000000,
10904           4.0000000000000000, -0.90000000000000002 },
10905   { -9.5873829246491408e-06, 20.000000000000000, 5.0000000000000000,
10906           4.0000000000000000, -0.80000000000000004 },
10907   { -2.6052245147200097e-05, 20.000000000000000, 5.0000000000000000,
10908           4.0000000000000000, -0.69999999999999996 },
10909   { -7.2378303598384501e-05, 20.000000000000000, 5.0000000000000000,
10910           4.0000000000000000, -0.59999999999999998 },
10911   { -0.00020048577321417379, 20.000000000000000, 5.0000000000000000,
10912           4.0000000000000000, -0.50000000000000000 },
10913   { -0.00051222704046227391, 20.000000000000000, 5.0000000000000000,
10914           4.0000000000000000, -0.40000000000000002 },
10915   { -0.00080950511491898055, 20.000000000000000, 5.0000000000000000,
10916           4.0000000000000000, -0.30000000000000004 },
10917   { 0.0043473422174314250, 20.000000000000000, 5.0000000000000000,
10918           4.0000000000000000, -0.19999999999999996 },
10919   { 0.081078342558623853, 20.000000000000000, 5.0000000000000000,
10920           4.0000000000000000, -0.099999999999999978 },
10921   { 1.0000000000000000, 20.000000000000000, 5.0000000000000000,
10922           4.0000000000000000, 0.0000000000000000 },
10923   { 12.794854084397739, 20.000000000000000, 5.0000000000000000,
10924           4.0000000000000000, 0.10000000000000009 },
10925   { 195.15639104739046, 20.000000000000000, 5.0000000000000000,
10926           4.0000000000000000, 0.19999999999999996 },
10927   { 3938.7991953190131, 20.000000000000000, 5.0000000000000000,
10928           4.0000000000000000, 0.30000000000000004 },
10929   { 118521.48653762060, 20.000000000000000, 5.0000000000000000,
10930           4.0000000000000000, 0.39999999999999991 },
10931   { 6291455.9999999972, 20.000000000000000, 5.0000000000000000,
10932           4.0000000000000000, 0.50000000000000000 },
10933   { 773070496.50699198, 20.000000000000000, 5.0000000000000000,
10934           4.0000000000000000, 0.60000000000000009 },
10935   { 363276452167.04102, 20.000000000000000, 5.0000000000000000,
10936           4.0000000000000000, 0.69999999999999996 },
10937   { 2002716064453133.0, 20.000000000000000, 5.0000000000000000,
10938           4.0000000000000000, 0.80000000000000004 },
10939   { 4.5999999999999109e+21, 20.000000000000000, 5.0000000000000000,
10940           4.0000000000000000, 0.89999999999999991 },
10941 };
10942 const double toler232 = 2.5000000000000020e-13;
10943
10944 // Test data for a=20.000000000000000, b=5.0000000000000000, c=6.0000000000000000.
10945 // max(|f - f_GSL|): 5120.0000000000000
10946 // max(|f - f_GSL| / |f_GSL|): 1.7944916193878923e-15
10947 const testcase_hyperg<double>
10948 data233[19] =
10949 {
10950   { 0.00014313323624053599, 20.000000000000000, 5.0000000000000000,
10951           6.0000000000000000, -0.90000000000000002 },
10952   { 0.00025426183473118769, 20.000000000000000, 5.0000000000000000,
10953           6.0000000000000000, -0.80000000000000004 },
10954   { 0.00048255612836437054, 20.000000000000000, 5.0000000000000000,
10955           6.0000000000000000, -0.69999999999999996 },
10956   { 0.00099096904674794185, 20.000000000000000, 5.0000000000000000,
10957           6.0000000000000000, -0.59999999999999998 },
10958   { 0.0022347805521915616, 20.000000000000000, 5.0000000000000000,
10959           6.0000000000000000, -0.50000000000000000 },
10960   { 0.0056271390060292845, 20.000000000000000, 5.0000000000000000,
10961           6.0000000000000000, -0.40000000000000002 },
10962   { 0.016109059519227316, 20.000000000000000, 5.0000000000000000,
10963           6.0000000000000000, -0.30000000000000004 },
10964   { 0.053453465775609076, 20.000000000000000, 5.0000000000000000,
10965           6.0000000000000000, -0.19999999999999996 },
10966   { 0.20995202901839263, 20.000000000000000, 5.0000000000000000,
10967           6.0000000000000000, -0.099999999999999978 },
10968   { 1.0000000000000000, 20.000000000000000, 5.0000000000000000,
10969           6.0000000000000000, 0.0000000000000000 },
10970   { 5.9534372167648799, 20.000000000000000, 5.0000000000000000,
10971           6.0000000000000000, 0.10000000000000009 },
10972   { 46.157632071205875, 20.000000000000000, 5.0000000000000000,
10973           6.0000000000000000, 0.19999999999999996 },
10974   { 494.32074431164915, 20.000000000000000, 5.0000000000000000,
10975           6.0000000000000000, 0.30000000000000004 },
10976   { 7989.5277611775946, 20.000000000000000, 5.0000000000000000,
10977           6.0000000000000000, 0.39999999999999991 },
10978   { 224179.55830753347, 20.000000000000000, 5.0000000000000000,
10979           6.0000000000000000, 0.50000000000000000 },
10980   { 13848144.485282511, 20.000000000000000, 5.0000000000000000,
10981           6.0000000000000000, 0.60000000000000009 },
10982   { 2948587692.8891716, 20.000000000000000, 5.0000000000000000,
10983           6.0000000000000000, 0.69999999999999996 },
10984   { 5940513286161.6602, 20.000000000000000, 5.0000000000000000,
10985           6.0000000000000000, 0.80000000000000004 },
10986   { 2.8531757655945201e+18, 20.000000000000000, 5.0000000000000000,
10987           6.0000000000000000, 0.89999999999999991 },
10988 };
10989 const double toler233 = 2.5000000000000020e-13;
10990
10991 // Test data for a=20.000000000000000, b=5.0000000000000000, c=8.0000000000000000.
10992 // max(|f - f_GSL|): 7.0000000000000000
10993 // max(|f - f_GSL| / |f_GSL|): 1.5351977183414298e-15
10994 const testcase_hyperg<double>
10995 data234[19] =
10996 {
10997   { 0.0012492049968744917, 20.000000000000000, 5.0000000000000000,
10998           8.0000000000000000, -0.90000000000000002 },
10999   { 0.0019931241968014200, 20.000000000000000, 5.0000000000000000,
11000           8.0000000000000000, -0.80000000000000004 },
11001   { 0.0033203386861410844, 20.000000000000000, 5.0000000000000000,
11002           8.0000000000000000, -0.69999999999999996 },
11003   { 0.0058191894509856774, 20.000000000000000, 5.0000000000000000,
11004           8.0000000000000000, -0.59999999999999998 },
11005   { 0.010830090368313864, 20.000000000000000, 5.0000000000000000,
11006           8.0000000000000000, -0.50000000000000000 },
11007   { 0.021653062305192875, 20.000000000000000, 5.0000000000000000,
11008           8.0000000000000000, -0.40000000000000002 },
11009   { 0.047180821280919043, 20.000000000000000, 5.0000000000000000,
11010           8.0000000000000000, -0.30000000000000004 },
11011   { 0.11405637279736212, 20.000000000000000, 5.0000000000000000,
11012           8.0000000000000000, -0.19999999999999996 },
11013   { 0.31275468794721017, 20.000000000000000, 5.0000000000000000,
11014           8.0000000000000000, -0.099999999999999978 },
11015   { 1.0000000000000000, 20.000000000000000, 5.0000000000000000,
11016           8.0000000000000000, 0.0000000000000000 },
11017   { 3.8598904658643969, 20.000000000000000, 5.0000000000000000,
11018           8.0000000000000000, 0.10000000000000009 },
11019   { 18.806301417906667, 20.000000000000000, 5.0000000000000000,
11020           8.0000000000000000, 0.19999999999999996 },
11021   { 122.77054465017432, 20.000000000000000, 5.0000000000000000,
11022           8.0000000000000000, 0.30000000000000004 },
11023   { 1168.4762146808946, 20.000000000000000, 5.0000000000000000,
11024           8.0000000000000000, 0.39999999999999991 },
11025   { 18437.511788521082, 20.000000000000000, 5.0000000000000000,
11026           8.0000000000000000, 0.50000000000000000 },
11027   { 597441.79669264762, 20.000000000000000, 5.0000000000000000,
11028           8.0000000000000000, 0.60000000000000009 },
11029   { 59390411.369227782, 20.000000000000000, 5.0000000000000000,
11030           8.0000000000000000, 0.69999999999999996 },
11031   { 44681668993.361603, 20.000000000000000, 5.0000000000000000,
11032           8.0000000000000000, 0.80000000000000004 },
11033   { 4559673269683164.0, 20.000000000000000, 5.0000000000000000,
11034           8.0000000000000000, 0.89999999999999991 },
11035 };
11036 const double toler234 = 2.5000000000000020e-13;
11037
11038 // Test data for a=20.000000000000000, b=5.0000000000000000, c=10.000000000000000.
11039 // max(|f - f_GSL|): 0.029296875000000000
11040 // max(|f - f_GSL| / |f_GSL|): 1.8717083246628922e-15
11041 const testcase_hyperg<double>
11042 data235[19] =
11043 {
11044   { 0.0038867957051370739, 20.000000000000000, 5.0000000000000000,
11045           10.000000000000000, -0.90000000000000002 },
11046   { 0.0058484892597364235, 20.000000000000000, 5.0000000000000000,
11047           10.000000000000000, -0.80000000000000004 },
11048   { 0.0090987656053758189, 20.000000000000000, 5.0000000000000000,
11049           10.000000000000000, -0.69999999999999996 },
11050   { 0.014714392537270657, 20.000000000000000, 5.0000000000000000,
11051           10.000000000000000, -0.59999999999999998 },
11052   { 0.024900404542056772, 20.000000000000000, 5.0000000000000000,
11053           10.000000000000000, -0.50000000000000000 },
11054   { 0.044460184663785027, 20.000000000000000, 5.0000000000000000,
11055           10.000000000000000, -0.40000000000000002 },
11056   { 0.084638849196356780, 20.000000000000000, 5.0000000000000000,
11057           10.000000000000000, -0.30000000000000004 },
11058   { 0.17409058241291026, 20.000000000000000, 5.0000000000000000,
11059           10.000000000000000, -0.19999999999999996 },
11060   { 0.39357055823580767, 20.000000000000000, 5.0000000000000000,
11061           10.000000000000000, -0.099999999999999978 },
11062   { 1.0000000000000000, 20.000000000000000, 5.0000000000000000,
11063           10.000000000000000, 0.0000000000000000 },
11064   { 2.9410794636226596, 20.000000000000000, 5.0000000000000000,
11065           10.000000000000000, 0.10000000000000009 },
11066   { 10.417226071414344, 20.000000000000000, 5.0000000000000000,
11067           10.000000000000000, 0.19999999999999996 },
11068   { 46.930585873140835, 20.000000000000000, 5.0000000000000000,
11069           10.000000000000000, 0.30000000000000004 },
11070   { 290.76717121814852, 20.000000000000000, 5.0000000000000000,
11071           10.000000000000000, 0.39999999999999991 },
11072   { 2788.1641083374830, 20.000000000000000, 5.0000000000000000,
11073           10.000000000000000, 0.50000000000000000 },
11074   { 50228.117718560752, 20.000000000000000, 5.0000000000000000,
11075           10.000000000000000, 0.60000000000000009 },
11076   { 2433042.3476752634, 20.000000000000000, 5.0000000000000000,
11077           10.000000000000000, 0.69999999999999996 },
11078   { 705345246.77141762, 20.000000000000000, 5.0000000000000000,
11079           10.000000000000000, 0.80000000000000004 },
11080   { 15652478868616.762, 20.000000000000000, 5.0000000000000000,
11081           10.000000000000000, 0.89999999999999991 },
11082 };
11083 const double toler235 = 2.5000000000000020e-13;
11084
11085 // Test data for a=20.000000000000000, b=10.000000000000000, c=2.0000000000000000.
11086 // max(|f - f_GSL|): 2.5940733853654057e+18
11087 // max(|f - f_GSL| / |f_GSL|): 1.8312596334405405e-15
11088 const testcase_hyperg<double>
11089 data236[19] =
11090 {
11091   { -2.1776535312781759e-07, 20.000000000000000, 10.000000000000000,
11092           2.0000000000000000, -0.90000000000000002 },
11093   { -2.9128833151630439e-06, 20.000000000000000, 10.000000000000000,
11094           2.0000000000000000, -0.80000000000000004 },
11095   { -9.4755553429932710e-06, 20.000000000000000, 10.000000000000000,
11096           2.0000000000000000, -0.69999999999999996 },
11097   { -1.2844297353852837e-05, 20.000000000000000, 10.000000000000000,
11098           2.0000000000000000, -0.59999999999999998 },
11099   { 3.6576965483549205e-05, 20.000000000000000, 10.000000000000000,
11100           2.0000000000000000, -0.50000000000000000 },
11101   { 0.00020847453890689954, 20.000000000000000, 10.000000000000000,
11102           2.0000000000000000, -0.40000000000000002 },
11103   { -0.00022868510398160936, 20.000000000000000, 10.000000000000000,
11104           2.0000000000000000, -0.30000000000000004 },
11105   { -0.0021855513841943421, 20.000000000000000, 10.000000000000000,
11106           2.0000000000000000, -0.19999999999999996 },
11107   { 0.014662111759334568, 20.000000000000000, 10.000000000000000,
11108           2.0000000000000000, -0.099999999999999978 },
11109   { 1.0000000000000000, 20.000000000000000, 10.000000000000000,
11110           2.0000000000000000, 0.0000000000000000 },
11111   { 746.44776348798098, 20.000000000000000, 10.000000000000000,
11112           2.0000000000000000, 0.10000000000000009 },
11113   { 136080.48445225612, 20.000000000000000, 10.000000000000000,
11114           2.0000000000000000, 0.19999999999999996 },
11115   { 23094279.597826406, 20.000000000000000, 10.000000000000000,
11116           2.0000000000000000, 0.30000000000000004 },
11117   { 5315913395.5545301, 20.000000000000000, 10.000000000000000,
11118           2.0000000000000000, 0.39999999999999991 },
11119   { 2261935718399.9990, 20.000000000000000, 10.000000000000000,
11120           2.0000000000000000, 0.50000000000000000 },
11121   { 2669150854828235.0, 20.000000000000000, 10.000000000000000,
11122           2.0000000000000000, 0.60000000000000009 },
11123   { 1.7499363099365994e+19, 20.000000000000000, 10.000000000000000,
11124           2.0000000000000000, 0.69999999999999996 },
11125   { 2.8881518494606140e+24, 20.000000000000000, 10.000000000000000,
11126           2.0000000000000000, 0.80000000000000004 },
11127   { 1.4165513933661626e+33, 20.000000000000000, 10.000000000000000,
11128           2.0000000000000000, 0.89999999999999991 },
11129 };
11130 const double toler236 = 2.5000000000000020e-13;
11131
11132 // Test data for a=20.000000000000000, b=10.000000000000000, c=4.0000000000000000.
11133 // max(|f - f_GSL|): 299067162755072.00
11134 // max(|f - f_GSL| / |f_GSL|): 2.1129345912024644e-15
11135 const testcase_hyperg<double>
11136 data237[19] =
11137 {
11138   { 1.7149006966334498e-07, 20.000000000000000, 10.000000000000000,
11139           4.0000000000000000, -0.90000000000000002 },
11140   { 3.2399324906563845e-07, 20.000000000000000, 10.000000000000000,
11141           4.0000000000000000, -0.80000000000000004 },
11142   { 1.6015317699713284e-07, 20.000000000000000, 10.000000000000000,
11143           4.0000000000000000, -0.69999999999999996 },
11144   { -2.0500917201273337e-06, 20.000000000000000, 10.000000000000000,
11145           4.0000000000000000, -0.59999999999999998 },
11146   { -1.0175546788592665e-05, 20.000000000000000, 10.000000000000000,
11147           4.0000000000000000, -0.50000000000000000 },
11148   { -1.1720101988158874e-05, 20.000000000000000, 10.000000000000000,
11149           4.0000000000000000, -0.40000000000000002 },
11150   { 0.00014199637113975139, 20.000000000000000, 10.000000000000000,
11151           4.0000000000000000, -0.30000000000000004 },
11152   { 0.00021263363640641769, 20.000000000000000, 10.000000000000000,
11153           4.0000000000000000, -0.19999999999999996 },
11154   { -0.0072649256698439626, 20.000000000000000, 10.000000000000000,
11155           4.0000000000000000, -0.099999999999999978 },
11156   { 1.0000000000000000, 20.000000000000000, 10.000000000000000,
11157           4.0000000000000000, 0.0000000000000000 },
11158   { 90.430293772869618, 20.000000000000000, 10.000000000000000,
11159           4.0000000000000000, 0.10000000000000009 },
11160   { 6248.1455940292308, 20.000000000000000, 10.000000000000000,
11161           4.0000000000000000, 0.19999999999999996 },
11162   { 501143.39852548984, 20.000000000000000, 10.000000000000000,
11163           4.0000000000000000, 0.30000000000000004 },
11164   { 58852027.356439680, 20.000000000000000, 10.000000000000000,
11165           4.0000000000000000, 0.39999999999999991 },
11166   { 12942923093.333330, 20.000000000000000, 10.000000000000000,
11167           4.0000000000000000, 0.50000000000000000 },
11168   { 7618073993853.6592, 20.000000000000000, 10.000000000000000,
11169           4.0000000000000000, 0.60000000000000009 },
11170   { 22630251562549288., 20.000000000000000, 10.000000000000000,
11171           4.0000000000000000, 0.69999999999999996 },
11172   { 1.3708372433980356e+21, 20.000000000000000, 10.000000000000000,
11173           4.0000000000000000, 0.80000000000000004 },
11174   { 1.4154113619999653e+29, 20.000000000000000, 10.000000000000000,
11175           4.0000000000000000, 0.89999999999999991 },
11176 };
11177 const double toler237 = 2.5000000000000020e-13;
11178
11179 // Test data for a=20.000000000000000, b=10.000000000000000, c=6.0000000000000000.
11180 // max(|f - f_GSL|): 103079215104.00000
11181 // max(|f - f_GSL| / |f_GSL|): 1.8869870511942065e-15
11182 const testcase_hyperg<double>
11183 data238[19] =
11184 {
11185   { -1.6667473284194196e-08, 20.000000000000000, 10.000000000000000,
11186           6.0000000000000000, -0.90000000000000002 },
11187   { 8.6214843496406671e-08, 20.000000000000000, 10.000000000000000,
11188           6.0000000000000000, -0.80000000000000004 },
11189   { 5.7778331275185146e-07, 20.000000000000000, 10.000000000000000,
11190           6.0000000000000000, -0.69999999999999996 },
11191   { 2.1911400502042259e-06, 20.000000000000000, 10.000000000000000,
11192           6.0000000000000000, -0.59999999999999998 },
11193   { 4.7440049217199358e-06, 20.000000000000000, 10.000000000000000,
11194           6.0000000000000000, -0.50000000000000000 },
11195   { -1.0564233315113883e-05, 20.000000000000000, 10.000000000000000,
11196           6.0000000000000000, -0.40000000000000002 },
11197   { -0.00017990026051873263, 20.000000000000000, 10.000000000000000,
11198           6.0000000000000000, -0.30000000000000004 },
11199   { -0.00027618146288724629, 20.000000000000000, 10.000000000000000,
11200           6.0000000000000000, -0.19999999999999996 },
11201   { 0.030606019577723666, 20.000000000000000, 10.000000000000000,
11202           6.0000000000000000, -0.099999999999999978 },
11203   { 1.0000000000000000, 20.000000000000000, 10.000000000000000,
11204           6.0000000000000000, 0.0000000000000000 },
11205   { 27.832854169493341, 20.000000000000000, 10.000000000000000,
11206           6.0000000000000000, 0.10000000000000009 },
11207   { 874.00624088575228, 20.000000000000000, 10.000000000000000,
11208           6.0000000000000000, 0.19999999999999996 },
11209   { 36049.199340831554, 20.000000000000000, 10.000000000000000,
11210           6.0000000000000000, 0.30000000000000004 },
11211   { 2270967.7298624986, 20.000000000000000, 10.000000000000000,
11212           6.0000000000000000, 0.39999999999999991 },
11213   { 266979100.44444439, 20.000000000000000, 10.000000000000000,
11214           6.0000000000000000, 0.50000000000000000 },
11215   { 80311224337.493027, 20.000000000000000, 10.000000000000000,
11216           6.0000000000000000, 0.60000000000000009 },
11217   { 110111693103799.72, 20.000000000000000, 10.000000000000000,
11218           6.0000000000000000, 0.69999999999999996 },
11219   { 2.4838871426052618e+18, 20.000000000000000, 10.000000000000000,
11220           6.0000000000000000, 0.80000000000000004 },
11221   { 5.4626349999998603e+25, 20.000000000000000, 10.000000000000000,
11222           6.0000000000000000, 0.89999999999999991 },
11223 };
11224 const double toler238 = 2.5000000000000020e-13;
11225
11226 // Test data for a=20.000000000000000, b=10.000000000000000, c=8.0000000000000000.
11227 // max(|f - f_GSL|): 100663296.00000000
11228 // max(|f - f_GSL| / |f_GSL|): 1.9414329026037087e-15
11229 const testcase_hyperg<double>
11230 data239[19] =
11231 {
11232   { -1.5843795889906876e-07, 20.000000000000000, 10.000000000000000,
11233           8.0000000000000000, -0.90000000000000002 },
11234   { -5.4877276002864784e-07, 20.000000000000000, 10.000000000000000,
11235           8.0000000000000000, -0.80000000000000004 },
11236   { -1.7169507967699695e-06, 20.000000000000000, 10.000000000000000,
11237           8.0000000000000000, -0.69999999999999996 },
11238   { -4.5236439749819329e-06, 20.000000000000000, 10.000000000000000,
11239           8.0000000000000000, -0.59999999999999998 },
11240   { -5.5690492560381956e-06, 20.000000000000000, 10.000000000000000,
11241           8.0000000000000000, -0.50000000000000000 },
11242   { 5.6914115607022928e-05, 20.000000000000000, 10.000000000000000,
11243           8.0000000000000000, -0.40000000000000002 },
11244   { 0.00082507252097525810, 20.000000000000000, 10.000000000000000,
11245           8.0000000000000000, -0.30000000000000004 },
11246   { 0.0085739249288230429, 20.000000000000000, 10.000000000000000,
11247           8.0000000000000000, -0.19999999999999996 },
11248   { 0.088244357683754687, 20.000000000000000, 10.000000000000000,
11249           8.0000000000000000, -0.099999999999999978 },
11250   { 1.0000000000000000, 20.000000000000000, 10.000000000000000,
11251           8.0000000000000000, 0.0000000000000000 },
11252   { 13.387208440156897, 20.000000000000000, 10.000000000000000,
11253           8.0000000000000000, 0.10000000000000009 },
11254   { 226.77895441155110, 20.000000000000000, 10.000000000000000,
11255           8.0000000000000000, 0.19999999999999996 },
11256   { 5281.5716482686785, 20.000000000000000, 10.000000000000000,
11257           8.0000000000000000, 0.30000000000000004 },
11258   { 189431.77762850464, 20.000000000000000, 10.000000000000000,
11259           8.0000000000000000, 0.39999999999999991 },
11260   { 12408149.333333332, 20.000000000000000, 10.000000000000000,
11261           8.0000000000000000, 0.50000000000000000 },
11262   { 1966782292.5839682, 20.000000000000000, 10.000000000000000,
11263           8.0000000000000000, 0.60000000000000009 },
11264   { 1274123112205.7495, 20.000000000000000, 10.000000000000000,
11265           8.0000000000000000, 0.69999999999999996 },
11266   { 10903676350911508., 20.000000000000000, 10.000000000000000,
11267           8.0000000000000000, 0.80000000000000004 },
11268   { 5.1849999999998819e+22, 20.000000000000000, 10.000000000000000,
11269           8.0000000000000000, 0.89999999999999991 },
11270 };
11271 const double toler239 = 2.5000000000000020e-13;
11272
11273 // Test data for a=20.000000000000000, b=10.000000000000000, c=10.000000000000000.
11274 // max(|f - f_GSL|): 425984.00000000000
11275 // max(|f - f_GSL| / |f_GSL|): 5.4067200000000052e-15
11276 const testcase_hyperg<double>
11277 data240[19] =
11278 {
11279   { 2.6602838683283435e-06, 20.000000000000000, 10.000000000000000,
11280           10.000000000000000, -0.90000000000000002 },
11281   { 7.8442223930072316e-06, 20.000000000000000, 10.000000000000000,
11282           10.000000000000000, -0.80000000000000004 },
11283   { 2.4604898194634598e-05, 20.000000000000000, 10.000000000000000,
11284           10.000000000000000, -0.69999999999999996 },
11285   { 8.2718061255302686e-05, 20.000000000000000, 10.000000000000000,
11286           10.000000000000000, -0.59999999999999998 },
11287   { 0.00030072865982171723, 20.000000000000000, 10.000000000000000,
11288           10.000000000000000, -0.50000000000000000 },
11289   { 0.0011951964277455193, 20.000000000000000, 10.000000000000000,
11290           10.000000000000000, -0.40000000000000002 },
11291   { 0.0052617832469731814, 20.000000000000000, 10.000000000000000,
11292           10.000000000000000, -0.30000000000000004 },
11293   { 0.026084053304588847, 20.000000000000000, 10.000000000000000,
11294           10.000000000000000, -0.19999999999999996 },
11295   { 0.14864362802414346, 20.000000000000000, 10.000000000000000,
11296           10.000000000000000, -0.099999999999999978 },
11297   { 1.0000000000000000, 20.000000000000000, 10.000000000000000,
11298           10.000000000000000, 0.0000000000000000 },
11299   { 8.2252633399699757, 20.000000000000000, 10.000000000000000,
11300           10.000000000000000, 0.10000000000000009 },
11301   { 86.736173798840269, 20.000000000000000, 10.000000000000000,
11302           10.000000000000000, 0.19999999999999996 },
11303   { 1253.2542894196865, 20.000000000000000, 10.000000000000000,
11304           10.000000000000000, 0.30000000000000004 },
11305   { 27351.112277912434, 20.000000000000000, 10.000000000000000,
11306           10.000000000000000, 0.39999999999999991 },
11307   { 1048576.0000000000, 20.000000000000000, 10.000000000000000,
11308           10.000000000000000, 0.50000000000000000 },
11309   { 90949470.177293226, 20.000000000000000, 10.000000000000000,
11310           10.000000000000000, 0.60000000000000009 },
11311   { 28679719907.924358, 20.000000000000000, 10.000000000000000,
11312           10.000000000000000, 0.69999999999999996 },
11313   { 95367431640624.906, 20.000000000000000, 10.000000000000000,
11314           10.000000000000000, 0.80000000000000004 },
11315   { 9.9999999999998657e+19, 20.000000000000000, 10.000000000000000,
11316           10.000000000000000, 0.89999999999999991 },
11317 };
11318 const double toler240 = 5.0000000000000039e-13;
11319
11320 // Test data for a=20.000000000000000, b=20.000000000000000, c=2.0000000000000000.
11321 // max(|f - f_GSL|): 8.1129638414606682e+31
11322 // max(|f - f_GSL| / |f_GSL|): 2.1657042453581189e-15
11323 const testcase_hyperg<double>
11324 data241[19] =
11325 {
11326   { 7.4612991227725660e-09, 20.000000000000000, 20.000000000000000,
11327           2.0000000000000000, -0.90000000000000002 },
11328   { 1.1006588952366092e-07, 20.000000000000000, 20.000000000000000,
11329           2.0000000000000000, -0.80000000000000004 },
11330   { 2.0126933732744113e-07, 20.000000000000000, 20.000000000000000,
11331           2.0000000000000000, -0.69999999999999996 },
11332   { -1.0013775379571396e-06, 20.000000000000000, 20.000000000000000,
11333           2.0000000000000000, -0.59999999999999998 },
11334   { -3.0371956856925611e-06, 20.000000000000000, 20.000000000000000,
11335           2.0000000000000000, -0.50000000000000000 },
11336   { 2.2012669924734483e-05, 20.000000000000000, 20.000000000000000,
11337           2.0000000000000000, -0.40000000000000002 },
11338   { -6.2415598025480351e-05, 20.000000000000000, 20.000000000000000,
11339           2.0000000000000000, -0.30000000000000004 },
11340   { 0.00033551320394368590, 20.000000000000000, 20.000000000000000,
11341           2.0000000000000000, -0.19999999999999996 },
11342   { -0.0062342152641436752, 20.000000000000000, 20.000000000000000,
11343           2.0000000000000000, -0.099999999999999978 },
11344   { 1.0000000000000000, 20.000000000000000, 20.000000000000000,
11345           2.0000000000000000, 0.0000000000000000 },
11346   { 34830.688900741610, 20.000000000000000, 20.000000000000000,
11347           2.0000000000000000, 0.10000000000000009 },
11348   { 67626221.263030857, 20.000000000000000, 20.000000000000000,
11349           2.0000000000000000, 0.19999999999999996 },
11350   { 102764604848.69762, 20.000000000000000, 20.000000000000000,
11351           2.0000000000000000, 0.30000000000000004 },
11352   { 220278355222373.38, 20.000000000000000, 20.000000000000000,
11353           2.0000000000000000, 0.39999999999999991 },
11354   { 1.0422324699794536e+18, 20.000000000000000, 20.000000000000000,
11355           2.0000000000000000, 0.50000000000000000 },
11356   { 1.9128731788368004e+22, 20.000000000000000, 20.000000000000000,
11357           2.0000000000000000, 0.60000000000000009 },
11358   { 3.5234592919485287e+27, 20.000000000000000, 20.000000000000000,
11359           2.0000000000000000, 0.69999999999999996 },
11360   { 5.0867023209025249e+34, 20.000000000000000, 20.000000000000000,
11361           2.0000000000000000, 0.80000000000000004 },
11362   { 3.7461088506658564e+46, 20.000000000000000, 20.000000000000000,
11363           2.0000000000000000, 0.89999999999999991 },
11364 };
11365 const double toler241 = 2.5000000000000020e-13;
11366
11367 // Test data for a=20.000000000000000, b=20.000000000000000, c=4.0000000000000000.
11368 // max(|f - f_GSL|): 4.3327901374988310e+27
11369 // max(|f - f_GSL| / |f_GSL|): 2.2075464057601018e-15
11370 const testcase_hyperg<double>
11371 data242[19] =
11372 {
11373   { -1.5895901122487120e-09, 20.000000000000000, 20.000000000000000,
11374           4.0000000000000000, -0.90000000000000002 },
11375   { -2.4403576191590296e-09, 20.000000000000000, 20.000000000000000,
11376           4.0000000000000000, -0.80000000000000004 },
11377   { 1.1622915284663225e-08, 20.000000000000000, 20.000000000000000,
11378           4.0000000000000000, -0.69999999999999996 },
11379   { 6.3899796223275262e-08, 20.000000000000000, 20.000000000000000,
11380           4.0000000000000000, -0.59999999999999998 },
11381   { -1.3503608350984134e-07, 20.000000000000000, 20.000000000000000,
11382           4.0000000000000000, -0.50000000000000000 },
11383   { -1.2198533623363349e-06, 20.000000000000000, 20.000000000000000,
11384           4.0000000000000000, -0.40000000000000002 },
11385   { 9.9086618119887468e-06, 20.000000000000000, 20.000000000000000,
11386           4.0000000000000000, -0.30000000000000004 },
11387   { -7.6797020080190715e-05, 20.000000000000000, 20.000000000000000,
11388           4.0000000000000000, -0.19999999999999996 },
11389   { 0.0013196405087170897, 20.000000000000000, 20.000000000000000,
11390           4.0000000000000000, -0.099999999999999978 },
11391   { 1.0000000000000000, 20.000000000000000, 20.000000000000000,
11392           4.0000000000000000, 0.0000000000000000 },
11393   { 2274.2044768143564, 20.000000000000000, 20.000000000000000,
11394           4.0000000000000000, 0.10000000000000009 },
11395   { 1611640.1560475440, 20.000000000000000, 20.000000000000000,
11396           4.0000000000000000, 0.19999999999999996 },
11397   { 1147063984.7359734, 20.000000000000000, 20.000000000000000,
11398           4.0000000000000000, 0.30000000000000004 },
11399   { 1253162497163.8311, 20.000000000000000, 20.000000000000000,
11400           4.0000000000000000, 0.39999999999999991 },
11401   { 3071321673390476.0, 20.000000000000000, 20.000000000000000,
11402           4.0000000000000000, 0.50000000000000000 },
11403   { 2.8221123559124324e+19, 20.000000000000000, 20.000000000000000,
11404           4.0000000000000000, 0.60000000000000009 },
11405   { 2.3658463807419519e+24, 20.000000000000000, 20.000000000000000,
11406           4.0000000000000000, 0.69999999999999996 },
11407   { 1.2596553731345468e+31, 20.000000000000000, 20.000000000000000,
11408           4.0000000000000000, 0.80000000000000004 },
11409   { 1.9627175792062075e+42, 20.000000000000000, 20.000000000000000,
11410           4.0000000000000000, 0.89999999999999991 },
11411 };
11412 const double toler242 = 2.5000000000000020e-13;
11413
11414 // Test data for a=20.000000000000000, b=20.000000000000000, c=6.0000000000000000.
11415 // max(|f - f_GSL|): 7.5557863725914323e+23
11416 // max(|f - f_GSL| / |f_GSL|): 1.9837376456390635e-15
11417 const testcase_hyperg<double>
11418 data243[19] =
11419 {
11420   { 8.0159783892777232e-11, 20.000000000000000, 20.000000000000000,
11421           6.0000000000000000, -0.90000000000000002 },
11422   { -6.4422705184649393e-10, 20.000000000000000, 20.000000000000000,
11423           6.0000000000000000, -0.80000000000000004 },
11424   { -3.7526132950808576e-09, 20.000000000000000, 20.000000000000000,
11425           6.0000000000000000, -0.69999999999999996 },
11426   { -1.7692034036274638e-09, 20.000000000000000, 20.000000000000000,
11427           6.0000000000000000, -0.59999999999999998 },
11428   { 7.9304558764774354e-08, 20.000000000000000, 20.000000000000000,
11429           6.0000000000000000, -0.50000000000000000 },
11430   { 5.9348070191507617e-08, 20.000000000000000, 20.000000000000000,
11431           6.0000000000000000, -0.40000000000000002 },
11432   { -3.5827694518409289e-06, 20.000000000000000, 20.000000000000000,
11433           6.0000000000000000, -0.30000000000000004 },
11434   { 4.4951490418031519e-05, 20.000000000000000, 20.000000000000000,
11435           6.0000000000000000, -0.19999999999999996 },
11436   { -0.0013716249406309328, 20.000000000000000, 20.000000000000000,
11437           6.0000000000000000, -0.099999999999999978 },
11438   { 1.0000000000000000, 20.000000000000000, 20.000000000000000,
11439           6.0000000000000000, 0.0000000000000000 },
11440   { 415.32493304415505, 20.000000000000000, 20.000000000000000,
11441           6.0000000000000000, 0.10000000000000009 },
11442   { 121300.42991518594, 20.000000000000000, 20.000000000000000,
11443           6.0000000000000000, 0.19999999999999996 },
11444   { 42725673.833462097, 20.000000000000000, 20.000000000000000,
11445           6.0000000000000000, 0.30000000000000004 },
11446   { 24588915328.261719, 20.000000000000000, 20.000000000000000,
11447           6.0000000000000000, 0.39999999999999991 },
11448   { 31929082412503.652, 20.000000000000000, 20.000000000000000,
11449           6.0000000000000000, 0.50000000000000000 },
11450   { 1.4934954443280477e+17, 20.000000000000000, 20.000000000000000,
11451           6.0000000000000000, 0.60000000000000009 },
11452   { 5.7726220597696125e+21, 20.000000000000000, 20.000000000000000,
11453           6.0000000000000000, 0.69999999999999996 },
11454   { 1.1454387824049374e+28, 20.000000000000000, 20.000000000000000,
11455           6.0000000000000000, 0.80000000000000004 },
11456   { 3.8088637321581534e+38, 20.000000000000000, 20.000000000000000,
11457           6.0000000000000000, 0.89999999999999991 },
11458 };
11459 const double toler243 = 2.5000000000000020e-13;
11460
11461 // Test data for a=20.000000000000000, b=20.000000000000000, c=8.0000000000000000.
11462 // max(|f - f_GSL|): 3.3204139332677193e+20
11463 // max(|f - f_GSL| / |f_GSL|): 1.9148846081415644e-15
11464 const testcase_hyperg<double>
11465 data244[19] =
11466 {
11467   { 1.0699067880816065e-10, 20.000000000000000, 20.000000000000000,
11468           8.0000000000000000, -0.90000000000000002 },
11469   { 5.4297771645951943e-10, 20.000000000000000, 20.000000000000000,
11470           8.0000000000000000, -0.80000000000000004 },
11471   { 9.7625476382187751e-10, 20.000000000000000, 20.000000000000000,
11472           8.0000000000000000, -0.69999999999999996 },
11473   { -6.7257763949908548e-09, 20.000000000000000, 20.000000000000000,
11474           8.0000000000000000, -0.59999999999999998 },
11475   { -5.4634571496409877e-08, 20.000000000000000, 20.000000000000000,
11476           8.0000000000000000, -0.50000000000000000 },
11477   { 1.4595644213797847e-07, 20.000000000000000, 20.000000000000000,
11478           8.0000000000000000, -0.40000000000000002 },
11479   { 3.3515966494792549e-06, 20.000000000000000, 20.000000000000000,
11480           8.0000000000000000, -0.30000000000000004 },
11481   { -6.5848086985738461e-05, 20.000000000000000, 20.000000000000000,
11482           8.0000000000000000, -0.19999999999999996 },
11483   { 0.0034800171306214847, 20.000000000000000, 20.000000000000000,
11484           8.0000000000000000, -0.099999999999999978 },
11485   { 1.0000000000000000, 20.000000000000000, 20.000000000000000,
11486           8.0000000000000000, 0.0000000000000000 },
11487   { 130.93865856750304, 20.000000000000000, 20.000000000000000,
11488           8.0000000000000000, 0.10000000000000009 },
11489   { 17850.203502975532, 20.000000000000000, 20.000000000000000,
11490           8.0000000000000000, 0.19999999999999996 },
11491   { 3307058.5655149994, 20.000000000000000, 20.000000000000000,
11492           8.0000000000000000, 0.30000000000000004 },
11493   { 1041065396.2302787, 20.000000000000000, 20.000000000000000,
11494           8.0000000000000000, 0.39999999999999991 },
11495   { 735221357488.41736, 20.000000000000000, 20.000000000000000,
11496           8.0000000000000000, 0.50000000000000000 },
11497   { 1785176805049585.2, 20.000000000000000, 20.000000000000000,
11498           8.0000000000000000, 0.60000000000000009 },
11499   { 3.2302829930269192e+19, 20.000000000000000, 20.000000000000000,
11500           8.0000000000000000, 0.69999999999999996 },
11501   { 2.4184909805178299e+25, 20.000000000000000, 20.000000000000000,
11502           8.0000000000000000, 0.80000000000000004 },
11503   { 1.7340021007794567e+35, 20.000000000000000, 20.000000000000000,
11504           8.0000000000000000, 0.89999999999999991 },
11505 };
11506 const double toler244 = 2.5000000000000020e-13;
11507
11508 // Test data for a=20.000000000000000, b=20.000000000000000, c=10.000000000000000.
11509 // max(|f - f_GSL|): 3.4227357168015770e+17
11510 // max(|f - f_GSL| / |f_GSL|): 2.2509396750115090e-15
11511 const testcase_hyperg<double>
11512 data245[19] =
11513 {
11514   { -1.7945360901577764e-10, 20.000000000000000, 20.000000000000000,
11515           10.000000000000000, -0.90000000000000002 },
11516   { -4.4440665776938741e-10, 20.000000000000000, 20.000000000000000,
11517           10.000000000000000, -0.80000000000000004 },
11518   { 6.6171615263373664e-10, 20.000000000000000, 20.000000000000000,
11519           10.000000000000000, -0.69999999999999996 },
11520   { 1.5453889374050929e-08, 20.000000000000000, 20.000000000000000,
11521           10.000000000000000, -0.59999999999999998 },
11522   { 7.5754083909301490e-08, 20.000000000000000, 20.000000000000000,
11523           10.000000000000000, -0.50000000000000000 },
11524   { -4.1113628642452120e-07, 20.000000000000000, 20.000000000000000,
11525           10.000000000000000, -0.40000000000000002 },
11526   { -9.5300704264471230e-06, 20.000000000000000, 20.000000000000000,
11527           10.000000000000000, -0.30000000000000004 },
11528   { 0.00016081533175773833, 20.000000000000000, 20.000000000000000,
11529           10.000000000000000, -0.19999999999999996 },
11530   { 0.017684650940379586, 20.000000000000000, 20.000000000000000,
11531           10.000000000000000, -0.099999999999999978 },
11532   { 1.0000000000000000, 20.000000000000000, 20.000000000000000,
11533           10.000000000000000, 0.0000000000000000 },
11534   { 57.562247312454403, 20.000000000000000, 20.000000000000000,
11535           10.000000000000000, 0.10000000000000009 },
11536   { 4124.4159820362511, 20.000000000000000, 20.000000000000000,
11537           10.000000000000000, 0.19999999999999996 },
11538   { 428774.21436196787, 20.000000000000000, 20.000000000000000,
11539           10.000000000000000, 0.30000000000000004 },
11540   { 76996819.900892526, 20.000000000000000, 20.000000000000000,
11541           10.000000000000000, 0.39999999999999991 },
11542   { 30473174828.943691, 20.000000000000000, 20.000000000000000,
11543           10.000000000000000, 0.50000000000000000 },
11544   { 39291970835753.094, 20.000000000000000, 20.000000000000000,
11545           10.000000000000000, 0.60000000000000009 },
11546   { 3.3890331048069018e+17, 20.000000000000000, 20.000000000000000,
11547           10.000000000000000, 0.69999999999999996 },
11548   { 9.7157373454594049e+22, 20.000000000000000, 20.000000000000000,
11549           10.000000000000000, 0.80000000000000004 },
11550   { 1.5205808288860858e+32, 20.000000000000000, 20.000000000000000,
11551           10.000000000000000, 0.89999999999999991 },
11552 };
11553 const double toler245 = 2.5000000000000020e-13;
11554
11555 template<typename Tp, unsigned int Num>
11556   void
11557   test(const testcase_hyperg<Tp> (&data)[Num], Tp toler)
11558   {
11559     bool test __attribute__((unused)) = true;
11560     const Tp eps = std::numeric_limits<Tp>::epsilon();
11561     Tp max_abs_diff = -Tp(1);
11562     Tp max_abs_frac = -Tp(1);
11563     unsigned int num_datum = Num;
11564     for (unsigned int i = 0; i < num_datum; ++i)
11565       {
11566         const Tp f = __gnu_cxx::hyperg(data[i].a, data[i].b,
11567                      data[i].c, data[i].x);
11568         const Tp f0 = data[i].f0;
11569         const Tp diff = f - f0;
11570         if (std::abs(diff) > max_abs_diff)
11571          max_abs_diff = std::abs(diff);
11572         if (std::abs(f0) > Tp(10) * eps && std::abs(f) > Tp(10) * eps)
11573           {
11574             const Tp frac = diff / f0;
11575             if (std::abs(frac) > max_abs_frac)
11576               max_abs_frac = std::abs(frac);
11577           }
11578       }
11579     VERIFY(max_abs_frac < toler);
11580   }
11581
11582 int
11583 main()
11584 {
11585   test(data001, toler001);
11586   test(data002, toler002);
11587   test(data003, toler003);
11588   test(data004, toler004);
11589   test(data005, toler005);
11590   test(data006, toler006);
11591   test(data007, toler007);
11592   test(data008, toler008);
11593   test(data009, toler009);
11594   test(data010, toler010);
11595   test(data011, toler011);
11596   test(data012, toler012);
11597   test(data013, toler013);
11598   test(data014, toler014);
11599   test(data015, toler015);
11600   test(data016, toler016);
11601   test(data017, toler017);
11602   test(data018, toler018);
11603   test(data019, toler019);
11604   test(data020, toler020);
11605   test(data021, toler021);
11606   test(data022, toler022);
11607   test(data023, toler023);
11608   test(data024, toler024);
11609   test(data025, toler025);
11610   test(data026, toler026);
11611   test(data027, toler027);
11612   test(data028, toler028);
11613   test(data029, toler029);
11614   test(data030, toler030);
11615   test(data031, toler031);
11616   test(data032, toler032);
11617   test(data033, toler033);
11618   test(data034, toler034);
11619   test(data035, toler035);
11620   test(data036, toler036);
11621   test(data037, toler037);
11622   test(data038, toler038);
11623   test(data039, toler039);
11624   test(data040, toler040);
11625   test(data041, toler041);
11626   test(data042, toler042);
11627   test(data043, toler043);
11628   test(data044, toler044);
11629   test(data045, toler045);
11630   test(data046, toler046);
11631   test(data047, toler047);
11632   test(data048, toler048);
11633   test(data049, toler049);
11634   test(data050, toler050);
11635   test(data051, toler051);
11636   test(data052, toler052);
11637   test(data053, toler053);
11638   test(data054, toler054);
11639   test(data055, toler055);
11640   test(data056, toler056);
11641   test(data057, toler057);
11642   test(data058, toler058);
11643   test(data059, toler059);
11644   test(data060, toler060);
11645   test(data061, toler061);
11646   test(data062, toler062);
11647   test(data063, toler063);
11648   test(data064, toler064);
11649   test(data065, toler065);
11650   test(data066, toler066);
11651   test(data067, toler067);
11652   test(data068, toler068);
11653   test(data069, toler069);
11654   test(data070, toler070);
11655   test(data071, toler071);
11656   test(data072, toler072);
11657   test(data073, toler073);
11658   test(data074, toler074);
11659   test(data075, toler075);
11660   test(data076, toler076);
11661   test(data077, toler077);
11662   test(data078, toler078);
11663   test(data079, toler079);
11664   test(data080, toler080);
11665   test(data081, toler081);
11666   test(data082, toler082);
11667   test(data083, toler083);
11668   test(data084, toler084);
11669   test(data085, toler085);
11670   test(data086, toler086);
11671   test(data087, toler087);
11672   test(data088, toler088);
11673   test(data089, toler089);
11674   test(data090, toler090);
11675   test(data091, toler091);
11676   test(data092, toler092);
11677   test(data093, toler093);
11678   test(data094, toler094);
11679   test(data095, toler095);
11680   test(data096, toler096);
11681   test(data097, toler097);
11682   test(data098, toler098);
11683   test(data099, toler099);
11684   test(data100, toler100);
11685   test(data101, toler101);
11686   test(data102, toler102);
11687   test(data103, toler103);
11688   test(data104, toler104);
11689   test(data105, toler105);
11690   test(data106, toler106);
11691   test(data107, toler107);
11692   test(data108, toler108);
11693   test(data109, toler109);
11694   test(data110, toler110);
11695   test(data111, toler111);
11696   test(data112, toler112);
11697   test(data113, toler113);
11698   test(data114, toler114);
11699   test(data115, toler115);
11700   test(data116, toler116);
11701   test(data117, toler117);
11702   test(data118, toler118);
11703   test(data119, toler119);
11704   test(data120, toler120);
11705   test(data121, toler121);
11706   test(data122, toler122);
11707   test(data123, toler123);
11708   test(data124, toler124);
11709   test(data125, toler125);
11710   test(data126, toler126);
11711   test(data127, toler127);
11712   test(data128, toler128);
11713   test(data129, toler129);
11714   test(data130, toler130);
11715   test(data131, toler131);
11716   test(data132, toler132);
11717   test(data133, toler133);
11718   test(data134, toler134);
11719   test(data135, toler135);
11720   test(data136, toler136);
11721   test(data137, toler137);
11722   test(data138, toler138);
11723   test(data139, toler139);
11724   test(data140, toler140);
11725   test(data141, toler141);
11726   test(data142, toler142);
11727   test(data143, toler143);
11728   test(data144, toler144);
11729   test(data145, toler145);
11730   test(data146, toler146);
11731   test(data147, toler147);
11732   test(data148, toler148);
11733   test(data149, toler149);
11734   test(data150, toler150);
11735   test(data151, toler151);
11736   test(data152, toler152);
11737   test(data153, toler153);
11738   test(data154, toler154);
11739   test(data155, toler155);
11740   test(data156, toler156);
11741   test(data157, toler157);
11742   test(data158, toler158);
11743   test(data159, toler159);
11744   test(data160, toler160);
11745   test(data161, toler161);
11746   test(data162, toler162);
11747   test(data163, toler163);
11748   test(data164, toler164);
11749   test(data165, toler165);
11750   test(data166, toler166);
11751   test(data167, toler167);
11752   test(data168, toler168);
11753   test(data169, toler169);
11754   test(data170, toler170);
11755   test(data171, toler171);
11756   test(data172, toler172);
11757   test(data173, toler173);
11758   test(data174, toler174);
11759   test(data175, toler175);
11760   test(data176, toler176);
11761   test(data177, toler177);
11762   test(data178, toler178);
11763   test(data179, toler179);
11764   test(data180, toler180);
11765   test(data181, toler181);
11766   test(data182, toler182);
11767   test(data183, toler183);
11768   test(data184, toler184);
11769   test(data185, toler185);
11770   test(data186, toler186);
11771   test(data187, toler187);
11772   test(data188, toler188);
11773   test(data189, toler189);
11774   test(data190, toler190);
11775   test(data191, toler191);
11776   test(data192, toler192);
11777   test(data193, toler193);
11778   test(data194, toler194);
11779   test(data195, toler195);
11780   test(data196, toler196);
11781   test(data197, toler197);
11782   test(data198, toler198);
11783   test(data199, toler199);
11784   test(data200, toler200);
11785   test(data201, toler201);
11786   test(data202, toler202);
11787   test(data203, toler203);
11788   test(data204, toler204);
11789   test(data205, toler205);
11790   test(data206, toler206);
11791   test(data207, toler207);
11792   test(data208, toler208);
11793   test(data209, toler209);
11794   test(data210, toler210);
11795   test(data211, toler211);
11796   test(data212, toler212);
11797   test(data213, toler213);
11798   test(data214, toler214);
11799   test(data215, toler215);
11800   test(data216, toler216);
11801   test(data217, toler217);
11802   test(data218, toler218);
11803   test(data219, toler219);
11804   test(data220, toler220);
11805   test(data221, toler221);
11806   test(data222, toler222);
11807   test(data223, toler223);
11808   test(data224, toler224);
11809   test(data225, toler225);
11810   test(data226, toler226);
11811   test(data227, toler227);
11812   test(data228, toler228);
11813   test(data229, toler229);
11814   test(data230, toler230);
11815   test(data231, toler231);
11816   test(data232, toler232);
11817   test(data233, toler233);
11818   test(data234, toler234);
11819   test(data235, toler235);
11820   test(data236, toler236);
11821   test(data237, toler237);
11822   test(data238, toler238);
11823   test(data239, toler239);
11824   test(data240, toler240);
11825   test(data241, toler241);
11826   test(data242, toler242);
11827   test(data243, toler243);
11828   test(data244, toler244);
11829   test(data245, toler245);
11830   return 0;
11831 }