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