]>
Commit | Line | Data |
---|---|---|
7c673cae FG |
1 | // Copyright (c) 2013 Anton Bikineev |
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 | ||
8 | #include "test_bessel_j_prime.hpp" | |
9 | ||
10 | // | |
11 | // DESCRIPTION: | |
12 | // ~~~~~~~~~~~~ | |
13 | // | |
14 | // This file tests the bessel functions derivatives. 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 Boost.Multiprecision at 50 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|real_concept"; | |
44 | } | |
45 | else | |
46 | { | |
47 | largest_type = "long double|real_concept"; | |
48 | } | |
49 | #else | |
50 | largest_type = "(long\\s+)?double"; | |
51 | #endif | |
52 | // | |
53 | // HP-UX specific rates: | |
54 | // | |
55 | // Error rate for double precision are limited by the accuracy of | |
56 | // the approximations use, which bracket rather than preserve the root. | |
57 | // | |
58 | add_expected_result( | |
59 | ".*", // compiler | |
60 | ".*", // stdlib | |
61 | "HP-UX", // platform | |
62 | largest_type, // test type(s) | |
63 | ".*J0'.*Tricky.*", // test data group | |
64 | ".*", 80000000000LL, 80000000000LL); // test function | |
65 | add_expected_result( | |
66 | ".*", // compiler | |
67 | ".*", // stdlib | |
68 | "HP-UX", // platform | |
69 | largest_type, // test type(s) | |
70 | ".*J1'.*Tricky.*", // test data group | |
71 | ".*", 3000000, 2000000); // test function | |
72 | add_expected_result( | |
73 | ".*", // compiler | |
74 | ".*", // stdlib | |
75 | "HP-UX", // platform | |
76 | "double", // test type(s) | |
77 | ".*Tricky.*", // test data group | |
78 | ".*", 100000, 100000); // test function | |
79 | add_expected_result( | |
80 | ".*", // compiler | |
81 | ".*", // stdlib | |
82 | "HP-UX", // platform | |
83 | largest_type, // test type(s) | |
84 | ".*J'.*Tricky.*", // test data group | |
85 | ".*", 3000, 500); // test function | |
86 | // | |
87 | // HP Tru64: | |
88 | // | |
89 | add_expected_result( | |
90 | ".*Tru64.*", // compiler | |
91 | ".*", // stdlib | |
92 | ".*", // platform | |
93 | "double", // test type(s) | |
94 | ".*Tricky.*", // test data group | |
95 | ".*", 100000, 100000); // test function | |
96 | add_expected_result( | |
97 | ".*Tru64.*", // compiler | |
98 | ".*", // stdlib | |
99 | ".*", // platform | |
100 | largest_type, // test type(s) | |
101 | ".*Tricky large.*", // test data group | |
102 | ".*", 3000, 1000); // test function | |
103 | // | |
104 | // Solaris specific rates: | |
105 | // | |
106 | // Error rate for double precision are limited by the accuracy of | |
107 | // the approximations use, which bracket rather than preserve the root. | |
108 | // | |
109 | add_expected_result( | |
110 | ".*", // compiler | |
111 | ".*", // stdlib | |
112 | "Sun Solaris", // platform | |
113 | largest_type, // test type(s) | |
114 | "Bessel J': Random Data.*Tricky.*", // test data group | |
115 | ".*", 3000, 500); // test function | |
116 | add_expected_result( | |
117 | ".*", // compiler | |
118 | ".*", // stdlib | |
119 | "Sun Solaris", // platform | |
120 | "double", // test type(s) | |
121 | ".*Tricky.*", // test data group | |
122 | ".*", 200000, 100000); // test function | |
123 | add_expected_result( | |
124 | ".*", // compiler | |
125 | ".*", // stdlib | |
126 | "Sun Solaris", // platform | |
127 | largest_type, // test type(s) | |
128 | ".*J'.*tricky.*", // test data group | |
129 | ".*", 400000000, 200000000); // test function | |
130 | // | |
131 | // Mac OS X: | |
132 | // | |
133 | add_expected_result( | |
134 | ".*", // compiler | |
135 | ".*", // stdlib | |
136 | "Mac OS", // platform | |
137 | largest_type, // test type(s) | |
138 | ".*J0'.*Tricky.*", // test data group | |
139 | ".*", 400000000, 400000000); // test function | |
140 | add_expected_result( | |
141 | ".*", // compiler | |
142 | ".*", // stdlib | |
143 | "Mac OS", // platform | |
144 | largest_type, // test type(s) | |
145 | ".*J1'.*Tricky.*", // test data group | |
146 | ".*", 3000000, 2000000); // test function | |
147 | add_expected_result( | |
148 | ".*", // compiler | |
149 | ".*", // stdlib | |
150 | "Mac OS", // platform | |
151 | largest_type, // test type(s) | |
152 | "Bessel JN'.*", // test data group | |
153 | ".*", 60000, 20000); // test function | |
154 | add_expected_result( | |
155 | ".*", // compiler | |
156 | ".*", // stdlib | |
157 | "Mac OS", // platform | |
158 | largest_type, // test type(s) | |
159 | "Bessel J':.*", // test data group | |
160 | ".*", 60000, 20000); // test function | |
161 | ||
162 | ||
163 | ||
164 | // | |
165 | // Linux specific results: | |
166 | // | |
167 | // sin and cos appear to have only double precision for large | |
168 | // arguments on some linux distros: | |
169 | // | |
170 | add_expected_result( | |
171 | ".*", // compiler | |
172 | ".*", // stdlib | |
173 | "linux", // platform | |
174 | largest_type, // test type(s) | |
175 | ".*J':.*", // test data group | |
176 | ".*", 60000, 30000); // test function | |
177 | ||
178 | ||
179 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
180 | if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits) | |
181 | && (std::numeric_limits<long double>::digits < 90)) | |
182 | { | |
183 | // some errors spill over into type double as well: | |
184 | add_expected_result( | |
185 | ".*", // compiler | |
186 | ".*", // stdlib | |
187 | ".*", // platform | |
188 | "double", // test type(s) | |
189 | ".*J0'.*Tricky.*", // test data group | |
190 | ".*", 400000, 400000); // test function | |
191 | add_expected_result( | |
192 | ".*", // compiler | |
193 | ".*", // stdlib | |
194 | ".*", // platform | |
195 | "double", // test type(s) | |
196 | ".*J1'.*Tricky.*", // test data group | |
197 | ".*", 5000, 5000); // test function | |
198 | add_expected_result( | |
199 | ".*", // compiler | |
200 | ".*", // stdlib | |
201 | ".*", // platform | |
202 | "double", // test type(s) | |
203 | ".*(JN'|j').*|.*Tricky.*", // test data group | |
204 | ".*", 50, 50); // test function | |
205 | add_expected_result( | |
206 | ".*", // compiler | |
207 | ".*", // stdlib | |
208 | ".*", // platform | |
209 | "double", // test type(s) | |
210 | ".*", // test data group | |
211 | ".*", 30, 30); // test function | |
212 | // | |
213 | // and we have a few cases with higher limits as well: | |
214 | // | |
215 | add_expected_result( | |
216 | ".*", // compiler | |
217 | ".*", // stdlib | |
218 | ".*", // platform | |
219 | largest_type, // test type(s) | |
220 | ".*J0'.*Tricky.*", // test data group | |
221 | ".*", 400000000, 400000000); // test function | |
222 | add_expected_result( | |
223 | ".*", // compiler | |
224 | ".*", // stdlib | |
225 | ".*", // platform | |
226 | largest_type, // test type(s) | |
227 | ".*J1'.*Tricky.*", // test data group | |
228 | ".*", 5000000, 5000000); // test function | |
229 | add_expected_result( | |
230 | ".*", // compiler | |
231 | ".*", // stdlib | |
232 | ".*", // platform | |
233 | largest_type, // test type(s) | |
234 | ".*(JN'|j').*|.*Tricky.*", // test data group | |
235 | ".*", 60000, 40000); // test function | |
236 | } | |
237 | #endif | |
238 | add_expected_result( | |
239 | ".*", // compiler | |
240 | ".*", // stdlib | |
241 | ".*", // platform | |
242 | largest_type, // test type(s) | |
243 | ".*J0'.*Tricky.*", // test data group | |
244 | ".*", 400000000, 400000000); // test function | |
245 | add_expected_result( | |
246 | ".*", // compiler | |
247 | ".*", // stdlib | |
248 | ".*", // platform | |
249 | largest_type, // test type(s) | |
250 | ".*J1'.*Tricky.*", // test data group | |
251 | ".*", 5000000, 5000000); // test function | |
252 | add_expected_result( | |
253 | ".*", // compiler | |
254 | ".*", // stdlib | |
255 | ".*", // platform | |
256 | largest_type, // test type(s) | |
257 | "Bessel j':.*|Bessel JN': Mathworld.*|.*Tricky.*", // test data group | |
258 | ".*", 1500, 700); // test function | |
259 | add_expected_result( | |
260 | ".*", // compiler | |
261 | ".*", // stdlib | |
262 | ".*", // platform | |
263 | largest_type, // test type(s) | |
264 | ".*", // test data group | |
265 | ".*", 40, 20); // test function | |
266 | // | |
267 | // One set of float tests has inexact input values, so there is a slight error: | |
268 | // | |
269 | add_expected_result( | |
270 | ".*", // compiler | |
271 | ".*", // stdlib | |
272 | ".*", // platform | |
273 | "float", // test type(s) | |
274 | "Bessel J': Mathworld Data", // test data group | |
275 | ".*", 30, 20); // test function | |
276 | // | |
277 | // Finish off by printing out the compiler/stdlib/platform names, | |
278 | // we do this to make it easier to mark up expected error rates. | |
279 | // | |
280 | std::cout << "Tests run with " << BOOST_COMPILER << ", " | |
281 | << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; | |
282 | } | |
283 | ||
284 | BOOST_AUTO_TEST_CASE( test_main ) | |
285 | { | |
286 | #ifdef TEST_GSL | |
287 | gsl_set_error_handler_off(); | |
288 | #endif | |
289 | expected_results(); | |
290 | BOOST_MATH_CONTROL_FP; | |
291 | ||
292 | test_bessel_prime(0.1F, "float"); | |
293 | test_bessel_prime(0.1, "double"); | |
294 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
295 | test_bessel_prime(0.1L, "long double"); | |
296 | #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS | |
297 | test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept"); | |
298 | #endif | |
299 | #else | |
300 | std::cout << "<note>The long double tests have been disabled on this platform " | |
301 | "either because the long double overloads of the usual math functions are " | |
302 | "not available at all, or because they are too inaccurate for these tests " | |
303 | "to pass.</note>" << std::endl; | |
304 | #endif | |
305 | } | |
306 | ||
307 | ||
308 | ||
309 |