libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/15_expint/check_value_pos.cc

   1 // 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>
   2 //
   3 // Copyright (C) 2007-2023 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 //  expint
  21
  22
  23 //  Compare against values generated by the GNU Scientific Library.
  24 //  The GSL can be found on the web: http://www.gnu.org/software/gsl/
  25
  26 #include <tr1/cmath>
  27 #if defined(__TEST_DEBUG)
  28 #include <iostream>
  29 #define VERIFY(A) \
  30 if (!(A)) \
  31   { \
  32     std::cout << "line " << __LINE__ \
  33       << "  max_abs_frac = " << max_abs_frac \
  34       << std::endl; \
  35   }
  36 #else
  37 #include <testsuite_hooks.h>
  38 #endif
  39 #include "../testcase.h"
  40
  41
  42 // Test data.
  43 testcase_expint<double> data001[] = {
  44   { 1.8951178163559366, 1.0000000000000000 },
  45   { 4.9542343560018907, 2.0000000000000000 },
  46   { 9.9338325706254160, 3.0000000000000000 },
  47   { 19.630874470056217, 4.0000000000000000 },
  48   { 40.185275355803178, 5.0000000000000000 },
  49   { 85.989762142439204, 6.0000000000000000 },
  50   { 191.50474333550139, 7.0000000000000000 },
  51   { 440.37989953483827, 8.0000000000000000 },
  52   { 1037.8782907170896, 9.0000000000000000 },
  53   { 2492.2289762418782, 10.000000000000000 },
  54   { 6071.4063740986112, 11.000000000000000 },
  55   { 14959.532666397527, 12.000000000000000 },
  56   { 37197.688490689041, 13.000000000000000 },
  57   { 93192.513633965369, 14.000000000000000 },
  58   { 234955.85249076830, 15.000000000000000 },
  59   { 595560.99867083703, 16.000000000000000 },
  60   { 1516637.8940425171, 17.000000000000000 },
  61   { 3877904.3305974435, 18.000000000000000 },
  62   { 9950907.2510468438, 19.000000000000000 },
  63   { 25615652.664056588, 20.000000000000000 },
  64   { 66127186.355484918, 21.000000000000000 },
  65   { 171144671.30036369, 22.000000000000000 },
  66   { 443966369.83027118, 23.000000000000000 },
  67   { 1154115391.8491828, 24.000000000000000 },
  68   { 3005950906.5255489, 25.000000000000000 },
  69   { 7842940991.8981876, 26.000000000000000 },
  70   { 20496497119.880810, 27.000000000000000 },
  71   { 53645118592.314682, 28.000000000000000 },
  72   { 140599195758.40689, 29.000000000000000 },
  73   { 368973209407.27423, 30.000000000000000 },
  74   { 969455575968.39392, 31.000000000000000 },
  75   { 2550043566357.7866, 32.000000000000000 },
  76   { 6714640184076.4980, 33.000000000000000 },
  77   { 17698037244116.266, 34.000000000000000 },
  78   { 46690550144661.594, 35.000000000000000 },
  79   { 123285207991209.75, 36.000000000000000 },
  80   { 325798899867226.44, 37.000000000000000 },
  81   { 861638819996578.62, 38.000000000000000 },
  82   { 2280446200301902.5, 39.000000000000000 },
  83   { 6039718263611242.0, 40.000000000000000 },
  84   { 16006649143245042., 41.000000000000000 },
  85   { 42447960921368504., 42.000000000000000 },
  86   { 1.1263482901669667e+17, 43.000000000000000 },
  87   { 2.9904447186323366e+17, 44.000000000000000 },
  88   { 7.9439160357044531e+17, 45.000000000000000 },
  89   { 2.1113423886478239e+18, 46.000000000000000 },
  90   { 5.6143296808103434e+18, 47.000000000000000 },
  91   { 1.4936302131129930e+19, 48.000000000000000 },
  92   { 3.9754427479037444e+19, 49.000000000000000 },
  93   { 1.0585636897131690e+20, 50.000000000000000 },
  94 };
  95
  96 // Test function.
  97 template <typename Tp>
  98 void test001()
  99 {
 100   const Tp eps = std::numeric_limits<Tp>::epsilon();
 101   Tp max_abs_diff = -Tp(1);
 102   Tp max_abs_frac = -Tp(1);
 103   unsigned int num_datum = sizeof(data001)
 104                          / sizeof(testcase_expint<double>);
 105   for (unsigned int i = 0; i < num_datum; ++i)
 106     {
 107       const Tp f = std::tr1::expint(Tp(data001[i].x));
 108       const Tp f0 = data001[i].f0;
 109       const Tp diff = f - f0;
 110       if (std::abs(diff) > max_abs_diff)
 111         max_abs_diff = std::abs(diff);
 112       if (std::abs(f0) > Tp(10) * eps
 113        && std::abs(f) > Tp(10) * eps)
 114         {
 115           const Tp frac = diff / f0;
 116           if (std::abs(frac) > max_abs_frac)
 117             max_abs_frac = std::abs(frac);
 118         }
 119     }
 120   VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
 121 }
 122
 123 int main(int, char**)
 124 {
 125   test001<double>();
 126   return 0;
 127 }