libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/04_comp_ellint_1/check_value.cc

   1 // 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>
   2 //
   3 // Copyright (C) 2007-2014 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 //  comp_ellint_1
  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_comp_ellint_1<double> data001[] = {
  44   { 2.2805491384227703, -0.90000000000000002 },
  45   { 1.9953027776647296, -0.80000000000000004 },
  46   { 1.8456939983747236, -0.69999999999999996 },
  47   { 1.7507538029157526, -0.59999999999999998 },
  48   { 1.6857503548125963, -0.50000000000000000 },
  49   { 1.6399998658645112, -0.40000000000000002 },
  50   { 1.6080486199305126, -0.30000000000000004 },
  51   { 1.5868678474541664, -0.19999999999999996 },
  52   { 1.5747455615173562, -0.099999999999999978 },
  53   { 1.5707963267948966, 0.0000000000000000 },
  54   { 1.5747455615173562, 0.10000000000000009 },
  55   { 1.5868678474541664, 0.19999999999999996 },
  56   { 1.6080486199305126, 0.30000000000000004 },
  57   { 1.6399998658645112, 0.39999999999999991 },
  58   { 1.6857503548125963, 0.50000000000000000 },
  59   { 1.7507538029157526, 0.60000000000000009 },
  60   { 1.8456939983747236, 0.69999999999999996 },
  61   { 1.9953027776647296, 0.80000000000000004 },
  62   { 2.2805491384227699, 0.89999999999999991 },
  63 };
  64
  65 // Test function.
  66 template <typename Tp>
  67 void test001()
  68 {
  69   const Tp eps = std::numeric_limits<Tp>::epsilon();
  70   Tp max_abs_diff = -Tp(1);
  71   Tp max_abs_frac = -Tp(1);
  72   unsigned int num_datum = sizeof(data001)
  73                          / sizeof(testcase_comp_ellint_1<double>);
  74   for (unsigned int i = 0; i < num_datum; ++i)
  75     {
  76       const Tp f = std::tr1::comp_ellint_1(Tp(data001[i].k));
  77       const Tp f0 = data001[i].f0;
  78       const Tp diff = f - f0;
  79       if (std::abs(diff) > max_abs_diff)
  80         max_abs_diff = std::abs(diff);
  81       if (std::abs(f0) > Tp(10) * eps
  82        && std::abs(f) > Tp(10) * eps)
  83         {
  84           const Tp frac = diff / f0;
  85           if (std::abs(frac) > max_abs_frac)
  86             max_abs_frac = std::abs(frac);
  87         }
  88     }
  89   VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
  90 }
  91
  92 int main(int, char**)
  93 {
  94   test001<double>();
  95   return 0;
  96 }