1 // 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net>
2 //
3 // Copyright (C) 2007-2021 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 // expint
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_expint<double> data001[] = {
44 { 1.8951178163559366, 1.0000000000000000 },
45 { 4.9542343560018907, 2.0000000000000000 },
46 { 9.9338325706254160, 3.0000000000000000 },
47 { 19.630874470056217, 4.0000000000000000 },
48 { 40.185275355803178, 5.0000000000000000 },
49 { 85.989762142439204, 6.0000000000000000 },
50 { 191.50474333550139, 7.0000000000000000 },
51 { 440.37989953483827, 8.0000000000000000 },
52 { 1037.8782907170896, 9.0000000000000000 },
53 { 2492.2289762418782, 10.000000000000000 },
54 { 6071.4063740986112, 11.000000000000000 },
55 { 14959.532666397527, 12.000000000000000 },
56 { 37197.688490689041, 13.000000000000000 },
57 { 93192.513633965369, 14.000000000000000 },
58 { 234955.85249076830, 15.000000000000000 },
59 { 595560.99867083703, 16.000000000000000 },
60 { 1516637.8940425171, 17.000000000000000 },
61 { 3877904.3305974435, 18.000000000000000 },
62 { 9950907.2510468438, 19.000000000000000 },
63 { 25615652.664056588, 20.000000000000000 },
64 { 66127186.355484918, 21.000000000000000 },
65 { 171144671.30036369, 22.000000000000000 },
66 { 443966369.83027118, 23.000000000000000 },
67 { 1154115391.8491828, 24.000000000000000 },
68 { 3005950906.5255489, 25.000000000000000 },
69 { 7842940991.8981876, 26.000000000000000 },
70 { 20496497119.880810, 27.000000000000000 },
71 { 53645118592.314682, 28.000000000000000 },
72 { 140599195758.40689, 29.000000000000000 },
73 { 368973209407.27423, 30.000000000000000 },
74 { 969455575968.39392, 31.000000000000000 },
75 { 2550043566357.7866, 32.000000000000000 },
76 { 6714640184076.4980, 33.000000000000000 },
77 { 17698037244116.266, 34.000000000000000 },
78 { 46690550144661.594, 35.000000000000000 },
79 { 123285207991209.75, 36.000000000000000 },
80 { 325798899867226.44, 37.000000000000000 },
81 { 861638819996578.62, 38.000000000000000 },
82 { 2280446200301902.5, 39.000000000000000 },
83 { 6039718263611242.0, 40.000000000000000 },
84 { 16006649143245042., 41.000000000000000 },
85 { 42447960921368504., 42.000000000000000 },
86 { 1.1263482901669667e+17, 43.000000000000000 },
87 { 2.9904447186323366e+17, 44.000000000000000 },
88 { 7.9439160357044531e+17, 45.000000000000000 },
89 { 2.1113423886478239e+18, 46.000000000000000 },
90 { 5.6143296808103434e+18, 47.000000000000000 },
91 { 1.4936302131129930e+19, 48.000000000000000 },
92 { 3.9754427479037444e+19, 49.000000000000000 },
93 { 1.0585636897131690e+20, 50.000000000000000 },
94 };
95
96 // Test function.
97 template <typename Tp>
test001()98 void test001()
99 {
100 const Tp eps = std::numeric_limits<Tp>::epsilon();
101 Tp max_abs_diff = -Tp(1);
102 Tp max_abs_frac = -Tp(1);
103 unsigned int num_datum = sizeof(data001)
104 / sizeof(testcase_expint<double>);
105 for (unsigned int i = 0; i < num_datum; ++i)
106 {
107 const Tp f = std::tr1::expint(Tp(data001[i].x));
108 const Tp f0 = data001[i].f0;
109 const Tp diff = f - f0;
110 if (std::abs(diff) > max_abs_diff)
111 max_abs_diff = std::abs(diff);
112 if (std::abs(f0) > Tp(10) * eps
113 && std::abs(f) > Tp(10) * eps)
114 {
115 const Tp frac = diff / f0;
116 if (std::abs(frac) > max_abs_frac)
117 max_abs_frac = std::abs(frac);
118 }
119 }
120 VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
121 }
122
main(int,char **)123 int main(int, char**)
124 {
125 test001<double>();
126 return 0;
127 }
128