]>
Commit | Line | Data |
---|---|---|
7c673cae FG |
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_gamma.hpp" | |
8 | ||
9 | // | |
10 | // DESCRIPTION: | |
11 | // ~~~~~~~~~~~~ | |
12 | // | |
13 | // This file tests the functions tgamma and lgamma, and the | |
14 | // function tgamma1pm1. 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 | // | |
53 | // G++ on Darwin: results are just slightly worse than we might hope for | |
54 | // but still pretty good: | |
55 | // | |
56 | add_expected_result( | |
57 | ".*", // compiler | |
58 | ".*", // stdlib | |
59 | "Mac OS", // platform | |
60 | largest_type, // test type(s) | |
61 | "factorials", // test data group | |
62 | "tgamma", 100, 15); // test function | |
63 | // | |
64 | // G++ On Win32: | |
65 | // | |
66 | add_expected_result( | |
67 | "GNU.*", // compiler | |
68 | ".*", // stdlib | |
69 | "Win32.*", // platform | |
70 | largest_type, // test type(s) | |
71 | "factorials", // test data group | |
72 | "tgamma", 100, 15); // test function | |
73 | add_expected_result( | |
74 | "GNU.*", // compiler | |
75 | ".*", // stdlib | |
76 | "Win32.*", // platform | |
77 | "real_concept", // test type(s) | |
78 | "factorials", // test data group | |
79 | "tgamma", 600, 200); // test function | |
80 | add_expected_result( | |
81 | "GNU.*", // compiler | |
82 | ".*", // stdlib | |
83 | "Win32.*", // platform | |
84 | "real_concept", // test type(s) | |
85 | "near.*", // test data group | |
86 | "tgamma", 200, 100); // test function | |
87 | // | |
88 | // G++ on Linux, result vary a bit by processor type, | |
89 | // on Itanium results are *much* better than listed here, | |
90 | // but x86 appears to have much less accurate std::pow | |
91 | // that throws off the results: | |
92 | // | |
93 | add_expected_result( | |
94 | ".*", // compiler | |
95 | ".*", // stdlib | |
96 | "linux", // platform | |
97 | largest_type, // test type(s) | |
98 | "factorials", // test data group | |
99 | "tgamma", 600, 200); // test function | |
100 | add_expected_result( | |
101 | ".*", // compiler | |
102 | ".*", // stdlib | |
103 | "linux", // platform | |
104 | largest_type, // test type(s) | |
105 | "factorials", // test data group | |
106 | "lgamma", 30, 10); // test function | |
107 | add_expected_result( | |
108 | ".*", // compiler | |
109 | ".*", // stdlib | |
110 | "linux", // platform | |
111 | largest_type, // test type(s) | |
112 | "near (1|2|-10)", // test data group | |
113 | "tgamma", 10, 5); // test function | |
114 | add_expected_result( | |
115 | ".*", // compiler | |
116 | ".*", // stdlib | |
117 | "linux", // platform | |
118 | largest_type, // test type(s) | |
119 | "near (1|2|-10)", // test data group | |
120 | "lgamma", 50, 50); // test function | |
121 | add_expected_result( | |
122 | ".*", // compiler | |
123 | ".*", // stdlib | |
124 | "linux", // platform | |
125 | largest_type, // test type(s) | |
126 | "tgamma1pm1.*", // test data group | |
127 | "tgamma1pm1", 50, 15); // test function | |
128 | add_expected_result( | |
129 | ".*", // compiler | |
130 | ".*", // stdlib | |
131 | "linux", // platform | |
132 | "real_concept", // test type(s) | |
133 | "factorials", // test data group | |
134 | "tgamma", 600, 100); // test function | |
135 | add_expected_result( | |
136 | ".*", // compiler | |
137 | ".*", // stdlib | |
138 | "linux", // platform | |
139 | "real_concept", // test type(s) | |
140 | "near (0|-55)", // test data group | |
141 | "(t|l)gamma", 300, 150); // test function | |
142 | add_expected_result( | |
143 | ".*", // compiler | |
144 | ".*", // stdlib | |
145 | "linux", // platform | |
146 | "real_concept", // test type(s) | |
147 | "tgamma1pm1.*", // test data group | |
148 | "tgamma1pm1", 40, 10); // test function | |
149 | // | |
150 | // HP-UX results: | |
151 | // | |
152 | add_expected_result( | |
153 | ".*", // compiler | |
154 | ".*", // stdlib | |
155 | "HP-UX", // platform | |
156 | largest_type, // test type(s) | |
157 | "factorials", // test data group | |
158 | "tgamma", 5, 4); // test function | |
159 | add_expected_result( | |
160 | ".*", // compiler | |
161 | ".*", // stdlib | |
162 | "HP-UX", // platform | |
163 | largest_type, // test type(s) | |
164 | "near (0|-55)", // test data group | |
165 | "tgamma", 10, 5); // test function | |
166 | add_expected_result( | |
167 | ".*", // compiler | |
168 | ".*", // stdlib | |
169 | "HP-UX", // platform | |
170 | largest_type, // test type(s) | |
171 | "near (1|2|-10)", // test data group | |
172 | "lgamma", 250, 200); // test function | |
173 | add_expected_result( | |
174 | ".*", // compiler | |
175 | ".*", // stdlib | |
176 | "HP-UX", // platform | |
177 | "real_concept", // test type(s) | |
178 | "factorials", // test data group | |
179 | "lgamma", 50, 20); // test function | |
180 | add_expected_result( | |
181 | ".*", // compiler | |
182 | ".*", // stdlib | |
183 | "HP-UX", // platform | |
184 | "real_concept", // test type(s) | |
185 | "tgamma1pm1.*", // test data group | |
186 | "tgamma1pm1", 200, 80); // test function | |
187 | // | |
188 | // Tru64: | |
189 | // | |
190 | add_expected_result( | |
191 | ".*Tru64.*", // compiler | |
192 | ".*", // stdlib | |
193 | ".*", // platform | |
194 | "real_concept", // test type(s) | |
195 | "factorials", // test data group | |
196 | "lgamma", 50, 20); // test function | |
197 | // | |
198 | // Sun OS: | |
199 | // | |
200 | add_expected_result( | |
201 | ".*", // compiler | |
202 | ".*", // stdlib | |
203 | "Sun.*", // platform | |
204 | largest_type, // test type(s) | |
205 | "factorials", // test data group | |
206 | "tgamma", 450, 100); // test function | |
207 | add_expected_result( | |
208 | ".*", // compiler | |
209 | ".*", // stdlib | |
210 | ".*Solaris.*", // platform | |
211 | "real_concept", // test type(s) | |
212 | "factorials", // test data group | |
213 | "tgamma", 450, 150); // test function | |
214 | ||
215 | // | |
216 | // Catch all cases come last: | |
217 | // | |
218 | add_expected_result( | |
219 | ".*", // compiler | |
220 | ".*", // stdlib | |
221 | ".*", // platform | |
222 | largest_type, // test type(s) | |
223 | "factorials", // test data group | |
224 | "tgamma", 4, 1); // test function | |
225 | add_expected_result( | |
226 | ".*", // compiler | |
227 | ".*", // stdlib | |
228 | ".*", // platform | |
229 | largest_type, // test type(s) | |
230 | "factorials", // test data group | |
231 | "lgamma", 9, 1); // test function | |
232 | add_expected_result( | |
233 | ".*", // compiler | |
234 | ".*", // stdlib | |
235 | ".*", // platform | |
236 | largest_type, // test type(s) | |
237 | "near (0|-55)", // test data group | |
238 | "(t|l)gamma", 200, 100); // test function | |
239 | add_expected_result( | |
240 | ".*", // compiler | |
241 | ".*", // stdlib | |
242 | ".*", // platform | |
243 | largest_type, // test type(s) | |
244 | "near (1|2|-10)", // test data group | |
245 | "tgamma", 10, 5); // test function | |
246 | add_expected_result( | |
247 | ".*", // compiler | |
248 | ".*", // stdlib | |
249 | ".*", // platform | |
250 | largest_type, // test type(s) | |
251 | "near (1|2|-10)", // test data group | |
252 | "lgamma", 14, 7); // test function | |
253 | add_expected_result( | |
254 | ".*", // compiler | |
255 | ".*", // stdlib | |
256 | ".*", // platform | |
257 | largest_type, // test type(s) | |
258 | "tgamma1pm1.*", // test data group | |
259 | "tgamma1pm1", 30, 9); // test function | |
260 | ||
261 | add_expected_result( | |
262 | ".*", // compiler | |
263 | ".*", // stdlib | |
264 | ".*", // platform | |
265 | "real_concept", // test type(s) | |
266 | "factorials", // test data group | |
267 | "tgamma", 600, 100); // test function | |
268 | add_expected_result( | |
269 | ".*", // compiler | |
270 | ".*", // stdlib | |
271 | ".*", // platform | |
272 | "real_concept", // test type(s) | |
273 | "factorials", // test data group | |
274 | "lgamma", 200, 20); // test function | |
275 | add_expected_result( | |
276 | ".*", // compiler | |
277 | ".*", // stdlib | |
278 | ".*", // platform | |
279 | "real_concept", // test type(s) | |
280 | "near.*", // test data group | |
281 | "tgamma", 300, 100); // test function | |
282 | add_expected_result( | |
283 | ".*", // compiler | |
284 | ".*", // stdlib | |
285 | ".*", // platform | |
286 | "real_concept", // test type(s) | |
287 | "near.*", // test data group | |
288 | "lgamma", 40000000, 10000000); // test function | |
289 | add_expected_result( | |
290 | ".*", // compiler | |
291 | ".*", // stdlib | |
292 | ".*", // platform | |
293 | "real_concept", // test type(s) | |
294 | "tgamma1pm1.*", // test data group | |
295 | "tgamma1pm1", 20, 5); // test function | |
296 | ||
297 | // | |
298 | // Finish off by printing out the compiler/stdlib/platform names, | |
299 | // we do this to make it easier to mark up expected error rates. | |
300 | // | |
301 | std::cout << "Tests run with " << BOOST_COMPILER << ", " | |
302 | << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; | |
303 | } | |
304 | ||
305 | BOOST_AUTO_TEST_CASE( test_main ) | |
306 | { | |
307 | expected_results(); | |
308 | BOOST_MATH_CONTROL_FP; | |
309 | ||
310 | #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS | |
311 | test_spots(0.0F, "float"); | |
312 | #endif | |
313 | test_spots(0.0, "double"); | |
314 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
315 | test_spots(0.0L, "long double"); | |
316 | test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); | |
317 | #endif | |
318 | ||
319 | #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS | |
320 | test_gamma(0.1F, "float"); | |
321 | #endif | |
322 | test_gamma(0.1, "double"); | |
323 | #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS | |
324 | test_gamma(0.1L, "long double"); | |
325 | #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS | |
326 | #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582)) | |
327 | test_gamma(boost::math::concepts::real_concept(0.1), "real_concept"); | |
328 | #endif | |
329 | #endif | |
330 | #else | |
331 | std::cout << "<note>The long double tests have been disabled on this platform " | |
332 | "either because the long double overloads of the usual math functions are " | |
333 | "not available at all, or because they are too inaccurate for these tests " | |
334 | "to pass.</note>" << std::endl; | |
335 | #endif | |
336 | ||
337 | } | |
338 | ||
339 | ||
340 |