1// 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>
2//
3// Copyright (C) 2007-2015 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) \
30if (!(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.
43testcase_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.
66template <typename Tp>
67void 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
92int main(int, char**)
93{
94  test001<double>();
95  return 0;
96}
97