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1 | // 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> |
2 | // | |
748086b7 | 3 | // Copyright (C) 2007, 2009 Free Software Foundation, Inc. |
7c62b943 BK |
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 | |
748086b7 | 8 | // Free Software Foundation; either version 3, or (at your option) |
7c62b943 BK |
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 | |
748086b7 JJ |
17 | // with this library; see the file COPYING3. If not see |
18 | // <http://www.gnu.org/licenses/>. | |
7c62b943 BK |
19 | |
20 | // riemann_zeta | |
21 | ||
1de1af77 JN |
22 | // This can take long on simulators, timing out the test. |
23 | // { dg-options "-DMAX_ITERATIONS=5" { target simulator } } | |
24 | ||
25 | #ifndef MAX_ITERATIONS | |
26 | #define MAX_ITERATIONS (sizeof(data001) / sizeof(testcase_riemann_zeta<double>)) | |
27 | #endif | |
7c62b943 BK |
28 | |
29 | // Compare against values generated by the GNU Scientific Library. | |
30 | // The GSL can be found on the web: http://www.gnu.org/software/gsl/ | |
31 | ||
32 | #include <tr1/cmath> | |
33 | #if defined(__TEST_DEBUG) | |
34 | #include <iostream> | |
35 | #define VERIFY(A) \ | |
36 | if (!(A)) \ | |
37 | { \ | |
38 | std::cout << "line " << __LINE__ \ | |
39 | << " max_abs_frac = " << max_abs_frac \ | |
40 | << std::endl; \ | |
41 | } | |
42 | #else | |
43 | #include <testsuite_hooks.h> | |
44 | #endif | |
45 | #include "../testcase.h" | |
46 | ||
47 | ||
48 | // Test data. | |
49 | testcase_riemann_zeta<double> data001[] = { | |
50 | { 0.0000000000000000, -10.000000000000000 }, | |
51 | { -0.0033669820451019579, -9.8000000000000007 }, | |
52 | { -0.0058129517767319039, -9.5999999999999996 }, | |
53 | { -0.0072908732290557004, -9.4000000000000004 }, | |
54 | { -0.0078420910654484442, -9.1999999999999993 }, | |
55 | { -0.0075757575757575803, -9.0000000000000000 }, | |
56 | { -0.0066476555677551898, -8.8000000000000007 }, | |
57 | { -0.0052400095350859429, -8.5999999999999996 }, | |
58 | { -0.0035434308017674959, -8.4000000000000004 }, | |
59 | { -0.0017417330388368585, -8.1999999999999993 }, | |
60 | { 0.0000000000000000, -8.0000000000000000 }, | |
61 | { 0.0015440036789213965, -7.7999999999999998 }, | |
62 | { 0.0027852131086497423, -7.5999999999999996 }, | |
63 | { 0.0036537321227995880, -7.4000000000000004 }, | |
64 | { 0.0041147930817053468, -7.2000000000000002 }, | |
65 | { 0.0041666666666666683, -7.0000000000000000 }, | |
66 | { 0.0038369975032738366, -6.7999999999999998 }, | |
67 | { 0.0031780270571782981, -6.5999999999999996 }, | |
68 | { 0.0022611282027338573, -6.4000000000000004 }, | |
69 | { 0.0011710237049390511, -6.2000000000000002 }, | |
70 | { 0.0000000000000000, -6.0000000000000000 }, | |
71 | { -0.0011576366649881879, -5.7999999999999998 }, | |
72 | { -0.0022106784318564345, -5.5999999999999996 }, | |
73 | { -0.0030755853460586891, -5.4000000000000004 }, | |
74 | { -0.0036804380477934787, -5.2000000000000002 }, | |
75 | { -0.0039682539682539698, -5.0000000000000000 }, | |
76 | { -0.0038996891301999797, -4.7999999999999998 }, | |
77 | { -0.0034551830834302711, -4.5999999999999996 }, | |
78 | { -0.0026366345018725115, -4.4000000000000004 }, | |
79 | { -0.0014687209305056974, -4.2000000000000002 }, | |
80 | { 0.0000000000000000, -4.0000000000000000 }, | |
81 | { 0.0016960463875825209, -3.7999999999999998 }, | |
82 | { 0.0035198355903356747, -3.5999999999999996 }, | |
83 | { 0.0053441503206513421, -3.4000000000000004 }, | |
84 | { 0.0070119720770910540, -3.2000000000000002 }, | |
85 | { 0.0083333333333333350, -3.0000000000000000 }, | |
86 | { 0.0090807294856852811, -2.7999999999999998 }, | |
87 | { 0.0089824623788396681, -2.5999999999999996 }, | |
88 | { 0.0077130239874243630, -2.4000000000000004 }, | |
89 | { 0.0048792123593036068, -2.2000000000000002 }, | |
90 | { 0.0000000000000000, -2.0000000000000000 }, | |
91 | { -0.0075229347765968010, -1.8000000000000007 }, | |
92 | { -0.018448986678963775, -1.5999999999999996 }, | |
93 | { -0.033764987694047593, -1.4000000000000004 }, | |
94 | { -0.054788441243880631, -1.1999999999999993 }, | |
95 | { -0.083333333333333398, -1.0000000000000000 }, | |
96 | { -0.12198707766977103, -0.80000000000000071 }, | |
97 | { -0.17459571193801401, -0.59999999999999964 }, | |
98 | { -0.24716546083171492, -0.40000000000000036 }, | |
99 | { -0.34966628059831484, -0.19999999999999929 }, | |
100 | { -0.49999999999999994, 0.0000000000000000 }, | |
101 | { -0.73392092489633953, 0.19999999999999929 }, | |
102 | { -1.1347977838669825, 0.40000000000000036 }, | |
103 | { -1.9526614482239983, 0.59999999999999964 }, | |
104 | { -4.4375384158955677, 0.80000000000000071 }, | |
105 | }; | |
106 | ||
107 | // Test function. | |
108 | template <typename Tp> | |
109 | void test001() | |
110 | { | |
111 | const Tp eps = std::numeric_limits<Tp>::epsilon(); | |
112 | Tp max_abs_diff = -Tp(1); | |
113 | Tp max_abs_frac = -Tp(1); | |
1de1af77 | 114 | unsigned int num_datum = MAX_ITERATIONS; |
7c62b943 BK |
115 | for (unsigned int i = 0; i < num_datum; ++i) |
116 | { | |
117 | const Tp f = std::tr1::riemann_zeta(Tp(data001[i].x)); | |
118 | const Tp f0 = data001[i].f0; | |
119 | const Tp diff = f - f0; | |
120 | if (std::abs(diff) > max_abs_diff) | |
121 | max_abs_diff = std::abs(diff); | |
122 | if (std::abs(f0) > Tp(10) * eps | |
123 | && std::abs(f) > Tp(10) * eps) | |
124 | { | |
125 | const Tp frac = diff / f0; | |
126 | if (std::abs(frac) > max_abs_frac) | |
127 | max_abs_frac = std::abs(frac); | |
128 | } | |
129 | } | |
130 | VERIFY(max_abs_frac < Tp(5.0000000000000039e-13)); | |
131 | } | |
132 | ||
133 | int main(int, char**) | |
134 | { | |
135 | test001<double>(); | |
136 | return 0; | |
137 | } |