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1 | // Copyright 2006 John Maddock |
2 | // Copyright Paul A. Bristow 2007. | |
3 | ||
4 | // Use, modification and distribution are subject to the | |
5 | // Boost Software License, Version 1.0. (See accompanying file | |
6 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
1e59de90 TL |
7 | #ifndef NOMINMAX |
8 | #define NOMINMAX | |
9 | #endif | |
7c673cae FG |
10 | #include <pch_light.hpp> |
11 | #include "test_carlson.hpp" | |
12 | ||
13 | // | |
14 | // DESCRIPTION: | |
15 | // ~~~~~~~~~~~~ | |
16 | // | |
17 | // This file tests the Carlson Elliptic Integrals. | |
18 | // There are two sets of tests, spot | |
19 | // tests which compare our results with the published test values, | |
20 | // in Numerical Computation of Real or Complex Elliptic Integrals, | |
21 | // B. C. Carlson: http://arxiv.org/abs/math.CA/9409227 | |
22 | // However, the bulk of the accuracy tests | |
23 | // use values generated with NTL::RR at 1000-bit precision | |
24 | // and our generic versions of these functions. | |
25 | // | |
26 | // Note that when this file is first run on a new platform many of | |
27 | // these tests will fail: the default accuracy is 1 epsilon which | |
28 | // is too tight for most platforms. In this situation you will | |
29 | // need to cast a human eye over the error rates reported and make | |
30 | // a judgement as to whether they are acceptable. Either way please | |
31 | // report the results to the Boost mailing list. Acceptable rates of | |
32 | // error are marked up below as a series of regular expressions that | |
33 | // identify the compiler/stdlib/platform/data-type/test-data/test-function | |
34 | // along with the maximum expected peek and RMS mean errors for that | |
35 | // test. | |
36 | // | |
37 | ||
38 | void expected_results() | |
39 | { | |
40 | // | |
41 | // Define the max and mean errors expected for | |
42 | // various compilers and platforms. | |
43 | // | |
44 | const char* largest_type; | |
45 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
46 | if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >()) | |
47 | { | |
48 | largest_type = "(long\\s+)?double"; | |
49 | } | |
50 | else | |
51 | { | |
52 | largest_type = "long double"; | |
53 | } | |
54 | #else | |
55 | largest_type = "(long\\s+)?double"; | |
56 | #endif | |
57 | // | |
58 | // real long doubles: | |
59 | // | |
60 | if(boost::math::policies::digits<long double, boost::math::policies::policy<> >() > 53) | |
61 | { | |
62 | add_expected_result( | |
63 | ".*", // compiler | |
64 | ".*", // stdlib | |
65 | BOOST_PLATFORM, // platform | |
66 | largest_type, // test type(s) | |
67 | ".*RJ.*", // test data group | |
68 | ".*", 1000, 50); // test function | |
69 | add_expected_result( | |
70 | ".*", // compiler | |
71 | ".*", // stdlib | |
72 | BOOST_PLATFORM, // platform | |
73 | "real_concept", // test type(s) | |
74 | ".*RJ.*", // test data group | |
75 | ".*", 1000, 50); // test function | |
76 | } | |
77 | // | |
78 | // Catch all cases come last: | |
79 | // | |
80 | add_expected_result( | |
81 | ".*", // compiler | |
82 | ".*", // stdlib | |
83 | ".*", // platform | |
84 | largest_type, // test type(s) | |
85 | ".*RJ.*", // test data group | |
86 | ".*", 250, 50); // test function | |
87 | add_expected_result( | |
88 | ".*", // compiler | |
89 | ".*", // stdlib | |
90 | ".*", // platform | |
91 | "real_concept", // test type(s) | |
92 | ".*RJ.*", // test data group | |
93 | ".*", 250, 50); // test function | |
94 | add_expected_result( | |
95 | ".*", // compiler | |
96 | ".*", // stdlib | |
97 | ".*", // platform | |
98 | largest_type, // test type(s) | |
99 | ".*", // test data group | |
100 | ".*", 25, 8); // test function | |
101 | add_expected_result( | |
102 | ".*", // compiler | |
103 | ".*", // stdlib | |
104 | ".*", // platform | |
105 | "real_concept", // test type(s) | |
106 | ".*", // test data group | |
107 | ".*", 25, 8); // test function | |
108 | // | |
109 | // Finish off by printing out the compiler/stdlib/platform names, | |
110 | // we do this to make it easier to mark up expected error rates. | |
111 | // | |
112 | std::cout << "Tests run with " << BOOST_COMPILER << ", " | |
113 | << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; | |
114 | } | |
115 | ||
116 | ||
117 | BOOST_AUTO_TEST_CASE( test_main ) | |
118 | { | |
119 | expected_results(); | |
120 | BOOST_MATH_CONTROL_FP; | |
121 | ||
122 | boost::math::ellint_rj(1.778e-31, 1.407e+18, 10.05, -4.83e-10); | |
123 | ||
124 | test_spots(0.0F, "float"); | |
125 | test_spots(0.0, "double"); | |
126 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
127 | test_spots(0.0L, "long double"); | |
128 | #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS | |
129 | test_spots(boost::math::concepts::real_concept(0), "real_concept"); | |
130 | #endif | |
131 | #else | |
132 | std::cout << "<note>The long double tests have been disabled on this platform " | |
133 | "either because the long double overloads of the usual math functions are " | |
134 | "not available at all, or because they are too inaccurate for these tests " | |
135 | "to pass.</note>" << std::endl; | |
136 | #endif | |
137 | } | |
138 | ||
139 | /* | |
140 | ||
141 | test_carlson.cpp | |
142 | Linking... | |
143 | Embedding manifest... | |
144 | Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_carlson.exe" | |
145 | Running 1 test case... | |
146 | Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32 | |
147 | Testing: RF: Random data | |
148 | boost::math::ellint_rf<float> Max = 0 RMS Mean=0 | |
149 | Testing: RC: Random data | |
150 | boost::math::ellint_rc<float> Max = 0 RMS Mean=0 | |
151 | Testing: RJ: Random data | |
152 | boost::math::ellint_rf<float> Max = 0 RMS Mean=0 | |
153 | Testing: RD: Random data | |
154 | boost::math::ellint_rd<float> Max = 0 RMS Mean=0 | |
155 | Testing: RF: Random data | |
156 | boost::math::ellint_rf<double> Max = 2.949 RMS Mean=0.7498 | |
157 | worst case at row: 377 | |
158 | { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 } | |
159 | Testing: RC: Random data | |
160 | boost::math::ellint_rc<double> Max = 2.396 RMS Mean=0.6283 | |
161 | worst case at row: 10 | |
162 | { 1.97e-029, 3.224e-025, 2.753e+012 } | |
163 | Testing: RJ: Random data | |
164 | boost::math::ellint_rf<double> Max = 152.9 RMS Mean=11.15 | |
165 | worst case at row: 633 | |
166 | { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 } | |
167 | Testing: RD: Random data | |
168 | boost::math::ellint_rd<double> Max = 2.586 RMS Mean=0.8614 | |
169 | worst case at row: 45 | |
170 | { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 } | |
171 | Testing: RF: Random data | |
172 | boost::math::ellint_rf<long double> Max = 2.949 RMS Mean=0.7498 | |
173 | worst case at row: 377 | |
174 | { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 } | |
175 | Testing: RC: Random data | |
176 | boost::math::ellint_rc<long double> Max = 2.396 RMS Mean=0.6283 | |
177 | worst case at row: 10 | |
178 | { 1.97e-029, 3.224e-025, 2.753e+012 } | |
179 | Testing: RJ: Random data | |
180 | boost::math::ellint_rf<long double> Max = 152.9 RMS Mean=11.15 | |
181 | worst case at row: 633 | |
182 | { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 } | |
183 | Testing: RD: Random data | |
184 | boost::math::ellint_rd<long double> Max = 2.586 RMS Mean=0.8614 | |
185 | worst case at row: 45 | |
186 | { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 } | |
187 | Testing: RF: Random data | |
188 | boost::math::ellint_rf<real_concept> Max = 2.949 RMS Mean=0.7498 | |
189 | worst case at row: 377 | |
190 | { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 } | |
191 | Testing: RC: Random data | |
192 | boost::math::ellint_rc<real_concept> Max = 2.396 RMS Mean=0.6283 | |
193 | worst case at row: 10 | |
194 | { 1.97e-029, 3.224e-025, 2.753e+012 } | |
195 | Testing: RJ: Random data | |
196 | boost::math::ellint_rf<real_concept> Max = 152.9 RMS Mean=11.15 | |
197 | worst case at row: 633 | |
198 | { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 } | |
199 | Testing: RD: Random data | |
200 | boost::math::ellint_rd<real_concept> Max = 2.586 RMS Mean=0.8614 | |
201 | worst case at row: 45 | |
202 | { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 } | |
203 | *** No errors detected | |
204 | ||
205 | */ |