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1 | // (C) Copyright John Maddock 2006. |
2 | // Use, modification and distribution are subject to the | |
3 | // Boost Software License, Version 1.0. (See accompanying file | |
4 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
5 | ||
6 | #include <pch_light.hpp> | |
7 | #include "test_laguerre.hpp" | |
8 | ||
9 | // | |
10 | // DESCRIPTION: | |
11 | // ~~~~~~~~~~~~ | |
12 | // | |
13 | // This file tests the Laguerre polynomials. | |
14 | // There are two sets of tests, spot | |
15 | // tests which compare our results with selected values computed | |
16 | // using the online special function calculator at | |
17 | // functions.wolfram.com, while the bulk of the accuracy tests | |
18 | // use values generated with NTL::RR at 1000-bit precision | |
19 | // and our generic versions of these functions. | |
20 | // | |
21 | // Note that when this file is first run on a new platform many of | |
22 | // these tests will fail: the default accuracy is 1 epsilon which | |
23 | // is too tight for most platforms. In this situation you will | |
24 | // need to cast a human eye over the error rates reported and make | |
25 | // a judgement as to whether they are acceptable. Either way please | |
26 | // report the results to the Boost mailing list. Acceptable rates of | |
27 | // error are marked up below as a series of regular expressions that | |
28 | // identify the compiler/stdlib/platform/data-type/test-data/test-function | |
29 | // along with the maximum expected peek and RMS mean errors for that | |
30 | // test. | |
31 | // | |
32 | ||
33 | void expected_results() | |
34 | { | |
35 | // | |
36 | // Define the max and mean errors expected for | |
37 | // various compilers and platforms. | |
38 | // | |
39 | const char* largest_type; | |
40 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
41 | if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >()) | |
42 | { | |
43 | largest_type = "(long\\s+)?double"; | |
44 | } | |
45 | else | |
46 | { | |
47 | largest_type = "long double"; | |
48 | } | |
49 | #else | |
50 | largest_type = "(long\\s+)?double"; | |
51 | #endif | |
52 | // | |
f67539c2 | 53 | // Linux special cases, error rates seem to be much higher here |
7c673cae FG |
54 | // even though the implementation contains nothing but basic |
55 | // arithmetic? | |
56 | // | |
57 | if((std::numeric_limits<long double>::digits <= 64) | |
58 | && (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits)) | |
59 | { | |
60 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
61 | add_expected_result( | |
62 | ".*", // compiler | |
63 | ".*", // stdlib | |
64 | ".*", // platform | |
65 | "double", // test type(s) | |
66 | ".*", // test data group | |
67 | ".*", 10, 5); // test function | |
68 | #endif | |
69 | } | |
70 | add_expected_result( | |
71 | ".*", // compiler | |
72 | ".*", // stdlib | |
73 | "linux.*|Mac OS|Sun.*", // platform | |
74 | largest_type, // test type(s) | |
75 | ".*", // test data group | |
76 | ".*", 40000, 1000); // test function | |
77 | add_expected_result( | |
78 | ".*", // compiler | |
79 | ".*", // stdlib | |
80 | "linux.*|Mac OS|Sun.*", // platform | |
81 | "real_concept", // test type(s) | |
82 | ".*", // test data group | |
83 | ".*", 40000, 1000); // test function | |
84 | add_expected_result( | |
85 | "GNU.*", // compiler | |
86 | ".*", // stdlib | |
87 | "Win32.*", // platform | |
88 | largest_type, // test type(s) | |
89 | ".*", // test data group | |
90 | ".*", 40000, 1000); // test function | |
91 | add_expected_result( | |
92 | "GNU.*", // compiler | |
93 | ".*", // stdlib | |
94 | "Win32.*", // platform | |
95 | "real_concept", // test type(s) | |
96 | ".*", // test data group | |
97 | ".*", 40000, 1000); // test function | |
98 | add_expected_result( | |
99 | ".*", // compiler | |
100 | ".*", // stdlib | |
101 | "IBM Aix", // platform | |
102 | largest_type, // test type(s) | |
103 | ".*", // test data group | |
104 | ".*", 5000, 500); // test function | |
105 | add_expected_result( | |
106 | ".*", // compiler | |
107 | ".*", // stdlib | |
108 | "IBM Aix", // platform | |
109 | "real_concept", // test type(s) | |
110 | ".*", // test data group | |
111 | ".*", 5000, 500); // test function | |
112 | ||
113 | // | |
114 | // Catch all cases come last: | |
115 | // | |
116 | add_expected_result( | |
117 | ".*", // compiler | |
118 | ".*", // stdlib | |
119 | ".*", // platform | |
120 | largest_type, // test type(s) | |
121 | ".*", // test data group | |
122 | ".*", 4000, 500); // test function | |
123 | add_expected_result( | |
124 | ".*", // compiler | |
125 | ".*", // stdlib | |
126 | ".*", // platform | |
127 | "real_concept", // test type(s) | |
128 | ".*", // test data group | |
129 | ".*", 4000, 500); // test function | |
130 | ||
131 | // | |
132 | // Finish off by printing out the compiler/stdlib/platform names, | |
133 | // we do this to make it easier to mark up expected error rates. | |
134 | // | |
135 | std::cout << "Tests run with " << BOOST_COMPILER << ", " | |
136 | << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; | |
137 | } | |
138 | ||
139 | BOOST_AUTO_TEST_CASE( test_main ) | |
140 | { | |
141 | BOOST_MATH_CONTROL_FP; | |
142 | ||
143 | #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS | |
144 | test_spots(0.0F, "float"); | |
145 | #endif | |
146 | test_spots(0.0, "double"); | |
147 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
148 | test_spots(0.0L, "long double"); | |
149 | test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); | |
150 | #endif | |
151 | ||
152 | expected_results(); | |
153 | ||
154 | #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS | |
155 | test_laguerre(0.1F, "float"); | |
156 | #endif | |
157 | test_laguerre(0.1, "double"); | |
158 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
159 | test_laguerre(0.1L, "long double"); | |
160 | #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS | |
161 | test_laguerre(boost::math::concepts::real_concept(0.1), "real_concept"); | |
162 | #endif | |
163 | #else | |
164 | std::cout << "<note>The long double tests have been disabled on this platform " | |
165 | "either because the long double overloads of the usual math functions are " | |
166 | "not available at all, or because they are too inaccurate for these tests " | |
167 | "to pass.</note>" << std::endl; | |
168 | #endif | |
169 | ||
170 | } | |
171 | ||
172 | ||
173 |