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1 | // { dg-do run { target c++11 } } |
2 | // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" } | |
e7f2d0bd | 3 | // { dg-skip-if "no extensions in strict dialects" { *-*-* } { "-std=c++*" } } |
a7a389d6 | 4 | // |
a945c346 | 5 | // Copyright (C) 2016-2024 Free Software Foundation, Inc. |
a7a389d6 ESR |
6 | // |
7 | // This file is part of the GNU ISO C++ Library. This library is free | |
8 | // software; you can redistribute it and/or modify it under the | |
9 | // terms of the GNU General Public License as published by the | |
10 | // Free Software Foundation; either version 3, or (at your option) | |
11 | // any later version. | |
12 | // | |
13 | // This library is distributed in the hope that it will be useful, | |
14 | // but WITHOUT ANY WARRANTY; without even the implied warranty of | |
15 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
16 | // GNU General Public License for more details. | |
17 | // | |
18 | // You should have received a copy of the GNU General Public License along | |
19 | // with this library; see the file COPYING3. If not see | |
20 | // <http://www.gnu.org/licenses/>. | |
21 | ||
22 | // airy_ai | |
23 | ||
24 | // Compare against values generated by the GNU Scientific Library. | |
25 | // The GSL can be found on the web: http://www.gnu.org/software/gsl/ | |
26 | #include <limits> | |
27 | #include <cmath> | |
28 | #if defined(__TEST_DEBUG) | |
29 | # include <iostream> | |
30 | # define VERIFY(A) \ | |
31 | if (!(A)) \ | |
32 | { \ | |
33 | std::cout << "line " << __LINE__ \ | |
34 | << " max_abs_frac = " << max_abs_frac \ | |
35 | << std::endl; \ | |
36 | } | |
37 | #else | |
38 | # include <testsuite_hooks.h> | |
39 | #endif | |
40 | #include <specfun_testcase.h> | |
41 | ||
42 | // Test data. | |
43 | // max(|f - f_GSL|): 2.0261570199409107e-15 at index 0 | |
44 | // max(|f - f_GSL| / |f_GSL|): 5.7527019513802774e-14 | |
45 | // mean(f - f_GSL): 5.7893945880945940e-17 | |
46 | // variance(f - f_GSL): 8.5887539970087062e-35 | |
47 | // stddev(f - f_GSL): 9.2675530734971811e-18 | |
48 | const testcase_airy_ai<double> | |
49 | data001[41] = | |
50 | { | |
51 | { 0.040241238486444071, -10.000000000000000, 0.0 }, | |
52 | { 0.31910324771912801, -9.5000000000000000, 0.0 }, | |
53 | { -0.022133721547341240, -9.0000000000000000, 0.0 }, | |
54 | { -0.33029023763020882, -8.5000000000000000, 0.0 }, | |
55 | { -0.052705050356385910, -8.0000000000000000, 0.0 }, | |
56 | { 0.32177571638064789, -7.5000000000000000, 0.0 }, | |
57 | { 0.18428083525050609, -7.0000000000000000, 0.0 }, | |
58 | { -0.23802030199711663, -6.5000000000000000, 0.0 }, | |
59 | { -0.32914517362982321, -6.0000000000000000, 0.0 }, | |
60 | { 0.017781541276574383, -5.5000000000000000, 0.0 }, | |
61 | { 0.35076100902411411, -5.0000000000000000, 0.0 }, | |
62 | { 0.29215278105595921, -4.5000000000000000, 0.0 }, | |
63 | { -0.070265532949289680, -4.0000000000000000, 0.0 }, | |
64 | { -0.37553382314043182, -3.5000000000000000, 0.0 }, | |
65 | { -0.37881429367765823, -3.0000000000000000, 0.0 }, | |
66 | { -0.11232506769296607, -2.5000000000000000, 0.0 }, | |
67 | { 0.22740742820168561, -2.0000000000000000, 0.0 }, | |
68 | { 0.46425657774886947, -1.5000000000000000, 0.0 }, | |
69 | { 0.53556088329235207, -1.0000000000000000, 0.0 }, | |
70 | { 0.47572809161053958, -0.50000000000000000, 0.0 }, | |
71 | { 0.35502805388781722, 0.0000000000000000, 0.0 }, | |
72 | { 0.23169360648083348, 0.50000000000000000, 0.0 }, | |
73 | { 0.13529241631288141, 1.0000000000000000, 0.0 }, | |
74 | { 0.071749497008105428, 1.5000000000000000, 0.0 }, | |
75 | { 0.034924130423274372, 2.0000000000000000, 0.0 }, | |
76 | { 0.015725923380470481, 2.5000000000000000, 0.0 }, | |
77 | { 0.0065911393574607175, 3.0000000000000000, 0.0 }, | |
78 | { 0.0025840987869896349, 3.5000000000000000, 0.0 }, | |
79 | { 0.00095156385120480195, 4.0000000000000000, 0.0 }, | |
80 | { 0.00033025032351430934, 4.5000000000000000, 0.0 }, | |
81 | { 0.00010834442813607434, 5.0000000000000000, 0.0 }, | |
82 | { 3.3685311908599812e-05, 5.5000000000000000, 0.0 }, | |
83 | { 9.9476943602528973e-06, 6.0000000000000000, 0.0 }, | |
84 | { 2.7958823432049148e-06, 6.5000000000000000, 0.0 }, | |
85 | { 7.4921288639971570e-07, 7.0000000000000000, 0.0 }, | |
86 | { 1.9172560675134295e-07, 7.5000000000000000, 0.0 }, | |
87 | { 4.6922076160992236e-08, 8.0000000000000000, 0.0 }, | |
88 | { 1.0997009755195515e-08, 8.5000000000000000, 0.0 }, | |
89 | { 2.4711684308724904e-09, 9.0000000000000000, 0.0 }, | |
90 | { 5.3302637046174900e-10, 9.5000000000000000, 0.0 }, | |
91 | { 1.1047532552898652e-10, 10.000000000000000, 0.0 }, | |
92 | }; | |
93 | const double toler001 = 5.0000000000000029e-12; | |
94 | ||
95 | template<typename Ret, unsigned int Num> | |
96 | void | |
97 | test(const testcase_airy_ai<Ret> (&data)[Num], Ret toler) | |
98 | { | |
99 | bool test __attribute__((unused)) = true; | |
100 | const Ret eps = std::numeric_limits<Ret>::epsilon(); | |
101 | Ret max_abs_diff = -Ret(1); | |
102 | Ret max_abs_frac = -Ret(1); | |
103 | unsigned int num_datum = Num; | |
104 | for (unsigned int i = 0; i < num_datum; ++i) | |
105 | { | |
106 | const Ret f = __gnu_cxx::airy_ai(data[i].x); | |
107 | const Ret f0 = data[i].f0; | |
108 | const Ret diff = f - f0; | |
109 | if (std::abs(diff) > max_abs_diff) | |
110 | max_abs_diff = std::abs(diff); | |
111 | if (std::abs(f0) > Ret(10) * eps | |
112 | && std::abs(f) > Ret(10) * eps) | |
113 | { | |
114 | const Ret frac = diff / f0; | |
115 | if (std::abs(frac) > max_abs_frac) | |
116 | max_abs_frac = std::abs(frac); | |
117 | } | |
118 | } | |
119 | VERIFY(max_abs_frac < toler); | |
120 | } | |
121 | ||
122 | int | |
123 | main() | |
124 | { | |
125 | test(data001, toler001); | |
126 | return 0; | |
127 | } |