1 // { dg-do run { target c++11 } }
2 // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
4 // Copyright (C) 2016-2017 Free Software Foundation, Inc.
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)
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.
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/>.
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/
27 #if defined(__TEST_DEBUG)
32 std::cout << "line " << __LINE__ \
33 << " max_abs_frac = " << max_abs_frac \
37 # include <testsuite_hooks.h>
39 #include <specfun_testcase.h>
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>
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 },
92 const double toler001
= 1.0000000000000006e-11;
94 template<typename Ret
, unsigned int Num
>
96 test(const testcase_airy_bi
<Ret
> (&data
)[Num
], Ret toler
)
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
)
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
)
113 const Ret frac
= diff
/ f0
;
114 if (std::abs(frac
) > max_abs_frac
)
115 max_abs_frac
= std::abs(frac
);
118 VERIFY(max_abs_frac
< toler
);
124 test(data001
, toler001
);