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1 | // Copyright John Maddock 2012 |
2 | ||
3 | // Use, modification and distribution are subject to the | |
4 | // Boost Software License, Version 1.0. (See accompanying file | |
5 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
6 | ||
7 | #include <pch_light.hpp> | |
8 | #include <test_jacobi.hpp> | |
9 | ||
10 | // | |
11 | // DESCRIPTION: | |
12 | // ~~~~~~~~~~~~ | |
13 | // | |
14 | // This file tests the Jacobi Elliptic Functions. | |
15 | // There are two sets of tests, spot | |
16 | // tests which compare our results with selected values computed | |
17 | // using the online special function calculator at | |
18 | // functions.wolfram.com, while the bulk of the accuracy tests | |
19 | // use values generated with NTL::RR at 1000-bit precision | |
20 | // and our generic versions of these functions. | |
21 | // | |
22 | // Note that when this file is first run on a new platform many of | |
23 | // these tests will fail: the default accuracy is 1 epsilon which | |
24 | // is too tight for most platforms. In this situation you will | |
25 | // need to cast a human eye over the error rates reported and make | |
26 | // a judgement as to whether they are acceptable. Either way please | |
27 | // report the results to the Boost mailing list. Acceptable rates of | |
28 | // error are marked up below as a series of regular expressions that | |
29 | // identify the compiler/stdlib/platform/data-type/test-data/test-function | |
30 | // along with the maximum expected peek and RMS mean errors for that | |
31 | // test. | |
32 | // | |
33 | ||
34 | void expected_results() | |
35 | { | |
36 | // | |
37 | // Define the max and mean errors expected for | |
38 | // various compilers and platforms. | |
39 | // | |
40 | const char* largest_type; | |
41 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
42 | if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >()) | |
43 | { | |
44 | largest_type = "(long\\s+)?double|real_concept"; | |
45 | } | |
46 | else | |
47 | { | |
48 | largest_type = "long double|real_concept"; | |
49 | } | |
50 | #else | |
51 | largest_type = "(long\\s+)?double"; | |
52 | #endif | |
53 | ||
54 | add_expected_result( | |
55 | ".*", // compiler | |
56 | ".*", // stdlib | |
57 | ".*", // platform | |
58 | largest_type, // test type(s) | |
59 | ".*Mathworld.*", // test data group | |
60 | ".*", 500, 250); // test function | |
61 | add_expected_result( | |
62 | ".*", // compiler | |
63 | ".*", // stdlib | |
64 | ".*", // platform | |
65 | largest_type, // test type(s) | |
66 | ".*Large Phi.*", // test data group | |
67 | ".*", 50000, 5000); // test function | |
68 | add_expected_result( | |
69 | ".*", // compiler | |
70 | ".*", // stdlib | |
71 | ".*", // platform | |
72 | largest_type, // test type(s) | |
73 | ".*near 1.*", // test data group | |
74 | ".*", 7000, 500); // test function | |
75 | ||
76 | if(std::numeric_limits<long double>::digits == 64) | |
77 | { | |
78 | // | |
79 | // Some errors spill over into double precision: | |
80 | // | |
81 | add_expected_result( | |
82 | ".*", // compiler | |
83 | ".*", // stdlib | |
84 | ".*", // platform | |
85 | "double", // test type(s) | |
86 | ".*Large Phi.*", // test data group | |
87 | ".*", 500, 50); // test function | |
88 | add_expected_result( | |
89 | ".*", // compiler | |
90 | ".*", // stdlib | |
91 | ".*", // platform | |
92 | "double", // test type(s) | |
93 | ".*near 1.*", // test data group | |
94 | ".*", 10, 5); // test function | |
95 | } | |
96 | // | |
97 | // Catch all cases come last: | |
98 | // | |
99 | add_expected_result( | |
100 | ".*", // compiler | |
101 | ".*", // stdlib | |
102 | ".*", // platform | |
103 | largest_type, // test type(s) | |
104 | ".*", // test data group | |
105 | ".*", 50, 20); // test function | |
106 | // | |
107 | // Finish off by printing out the compiler/stdlib/platform names, | |
108 | // we do this to make it easier to mark up expected error rates. | |
109 | // | |
110 | std::cout << "Tests run with " << BOOST_COMPILER << ", " | |
111 | << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; | |
112 | } | |
113 | ||
114 | ||
115 | BOOST_AUTO_TEST_CASE( test_main ) | |
116 | { | |
117 | expected_results(); | |
118 | BOOST_MATH_CONTROL_FP; | |
119 | ||
120 | test_spots(0.0F, "float"); | |
121 | test_spots(0.0, "double"); | |
122 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
123 | test_spots(0.0L, "long double"); | |
124 | #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS | |
125 | test_spots(boost::math::concepts::real_concept(0), "real_concept"); | |
126 | #endif | |
127 | #else | |
128 | std::cout << "<note>The long double tests have been disabled on this platform " | |
129 | "either because the long double overloads of the usual math functions are " | |
130 | "not available at all, or because they are too inaccurate for these tests " | |
131 | "to pass.</note>" << std::endl; | |
132 | #endif | |
133 | ||
134 | ||
135 | } |