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b34f60ac | 1 | // 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> |
2 | // | |
f1717362 | 3 | // Copyright (C) 2007-2016 Free Software Foundation, Inc. |
b34f60ac | 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 | |
6bc9506f | 8 | // Free Software Foundation; either version 3, or (at your option) |
b34f60ac | 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 | |
6bc9506f | 17 | // with this library; see the file COPYING3. If not see |
18 | // <http://www.gnu.org/licenses/>. | |
b34f60ac | 19 | |
20 | // comp_ellint_2 | |
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_2<double> data001[] = { | |
44 | { 1.1716970527816140, -0.90000000000000002 }, | |
45 | { 1.2763499431699066, -0.80000000000000004 }, | |
46 | { 1.3556611355719557, -0.69999999999999996 }, | |
47 | { 1.4180833944487243, -0.59999999999999998 }, | |
48 | { 1.4674622093394274, -0.50000000000000000 }, | |
49 | { 1.5059416123600402, -0.40000000000000002 }, | |
50 | { 1.5348334649232489, -0.30000000000000004 }, | |
51 | { 1.5549685462425296, -0.19999999999999996 }, | |
52 | { 1.5668619420216685, -0.099999999999999978 }, | |
53 | { 1.5707963267948966, 0.0000000000000000 }, | |
54 | { 1.5668619420216685, 0.10000000000000009 }, | |
55 | { 1.5549685462425296, 0.19999999999999996 }, | |
56 | { 1.5348334649232489, 0.30000000000000004 }, | |
57 | { 1.5059416123600404, 0.39999999999999991 }, | |
58 | { 1.4674622093394274, 0.50000000000000000 }, | |
59 | { 1.4180833944487241, 0.60000000000000009 }, | |
60 | { 1.3556611355719557, 0.69999999999999996 }, | |
61 | { 1.2763499431699066, 0.80000000000000004 }, | |
62 | { 1.1716970527816142, 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_2<double>); | |
74 | for (unsigned int i = 0; i < num_datum; ++i) | |
75 | { | |
76 | const Tp f = std::tr1::comp_ellint_2(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(5.0000000000000039e-13)); | |
90 | } | |
91 | ||
92 | int main(int, char**) | |
93 | { | |
94 | test001<double>(); | |
95 | return 0; | |
96 | } |