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1 | // { dg-do run { target c++11 } } |
2 | // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" } | |
3 | // | |
4 | // Copyright (C) 2016-2017 Free Software Foundation, Inc. | |
5 | // | |
6 | // This file is part of the GNU ISO C++ Library. This library is free | |
7 | // software; you can redistribute it and/or modify it under the | |
8 | // terms of the GNU General Public License as published by the | |
9 | // Free Software Foundation; either version 3, or (at your option) | |
10 | // any later version. | |
11 | // | |
12 | // This library is distributed in the hope that it will be useful, | |
13 | // but WITHOUT ANY WARRANTY; without even the implied warranty of | |
14 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
15 | // GNU General Public License for more details. | |
16 | // | |
17 | // You should have received a copy of the GNU General Public License along | |
18 | // with this library; see the file COPYING3. If not see | |
19 | // <http://www.gnu.org/licenses/>. | |
20 | ||
21 | // airy_bi | |
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 | #include <limits> | |
26 | #include <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 <specfun_testcase.h> | |
40 | ||
41 | // Test data. | |
42 | // max(|f - f_GSL|): 3.2782554626464844e-06 at index 40 | |
43 | // max(|f - f_GSL| / |f_GSL|): 1.3623770134694109e-13 | |
44 | // mean(f - f_GSL): -8.0102555317125191e-08 | |
45 | // variance(f - f_GSL): 2.6209716422814286e-13 | |
46 | // stddev(f - f_GSL): 5.1195425989842373e-07 | |
47 | const testcase_airy_bi<double> | |
48 | data001[41] = | |
49 | { | |
50 | { -0.31467982964383845, -10.000000000000000, 0.0 }, | |
51 | { 0.037785432489467467, -9.5000000000000000, 0.0 }, | |
52 | { 0.32494732345524480, -9.0000000000000000, 0.0 }, | |
53 | { 0.0077544364476580746, -8.5000000000000000, 0.0 }, | |
54 | { -0.33125158075113792, -8.0000000000000000, 0.0 }, | |
55 | { -0.11246348507649087, -7.5000000000000000, 0.0 }, | |
56 | { 0.29376207185441372, -7.0000000000000000, 0.0 }, | |
57 | { 0.26101265763648318, -6.5000000000000000, 0.0 }, | |
58 | { -0.14669837667055663, -6.0000000000000000, 0.0 }, | |
59 | { -0.36781345391571185, -5.5000000000000000, 0.0 }, | |
60 | { -0.13836913490160088, -5.0000000000000000, 0.0 }, | |
61 | { 0.25387265769693296, -4.5000000000000000, 0.0 }, | |
62 | { 0.39223470570699931, -4.0000000000000000, 0.0 }, | |
63 | { 0.16893983748105870, -3.5000000000000000, 0.0 }, | |
64 | { -0.19828962637492650, -3.0000000000000000, 0.0 }, | |
65 | { -0.43242247184070520, -2.5000000000000000, 0.0 }, | |
66 | { -0.41230258795639835, -2.0000000000000000, 0.0 }, | |
67 | { -0.19178486115704119, -1.5000000000000000, 0.0 }, | |
68 | { 0.10399738949694459, -1.0000000000000000, 0.0 }, | |
69 | { 0.38035265975105381, -0.50000000000000000, 0.0 }, | |
70 | { 0.61492662744600068, 0.0000000000000000, 0.0 }, | |
71 | { 0.85427704310315555, 0.50000000000000000, 0.0 }, | |
72 | { 1.2074235949528713, 1.0000000000000000, 0.0 }, | |
73 | { 1.8789415037478949, 1.5000000000000000, 0.0 }, | |
74 | { 3.2980949999782148, 2.0000000000000000, 0.0 }, | |
75 | { 6.4816607384605804, 2.5000000000000000, 0.0 }, | |
76 | { 14.037328963730236, 3.0000000000000000, 0.0 }, | |
77 | { 33.055506754611478, 3.5000000000000000, 0.0 }, | |
78 | { 83.847071408468111, 4.0000000000000000, 0.0 }, | |
79 | { 227.58808183559950, 4.5000000000000000, 0.0 }, | |
80 | { 657.79204417117160, 5.0000000000000000, 0.0 }, | |
81 | { 2016.5800386595315, 5.5000000000000000, 0.0 }, | |
82 | { 6536.4461048098583, 6.0000000000000000, 0.0 }, | |
83 | { 22340.607718396990, 6.5000000000000000, 0.0 }, | |
84 | { 80327.790709430337, 7.0000000000000000, 0.0 }, | |
85 | { 303229.61511253362, 7.5000000000000000, 0.0 }, | |
86 | { 1199586.0041244617, 8.0000000000000000, 0.0 }, | |
87 | { 4965319.5414712988, 8.5000000000000000, 0.0 }, | |
88 | { 21472868.891435351, 9.0000000000000000, 0.0 }, | |
89 | { 96892265.580451161, 9.5000000000000000, 0.0 }, | |
90 | { 455641153.54822654, 10.000000000000000, 0.0 }, | |
91 | }; | |
92 | const double toler001 = 1.0000000000000006e-11; | |
93 | ||
94 | template<typename Ret, unsigned int Num> | |
95 | void | |
96 | test(const testcase_airy_bi<Ret> (&data)[Num], Ret toler) | |
97 | { | |
98 | bool test __attribute__((unused)) = true; | |
99 | const Ret eps = std::numeric_limits<Ret>::epsilon(); | |
100 | Ret max_abs_diff = -Ret(1); | |
101 | Ret max_abs_frac = -Ret(1); | |
102 | unsigned int num_datum = Num; | |
103 | for (unsigned int i = 0; i < num_datum; ++i) | |
104 | { | |
105 | const Ret f = __gnu_cxx::airy_bi(data[i].x); | |
106 | const Ret f0 = data[i].f0; | |
107 | const Ret diff = f - f0; | |
108 | if (std::abs(diff) > max_abs_diff) | |
109 | max_abs_diff = std::abs(diff); | |
110 | if (std::abs(f0) > Ret(10) * eps | |
111 | && std::abs(f) > Ret(10) * eps) | |
112 | { | |
113 | const Ret frac = diff / f0; | |
114 | if (std::abs(frac) > max_abs_frac) | |
115 | max_abs_frac = std::abs(frac); | |
116 | } | |
117 | } | |
118 | VERIFY(max_abs_frac < toler); | |
119 | } | |
120 | ||
121 | int | |
122 | main() | |
123 | { | |
124 | test(data001, toler001); | |
125 | return 0; | |
126 | } |