[ceph.git] / ceph / src / boost / libs / math / test / test_ibeta.cpp

//  (C) Copyright John Maddock 2006.
//  Use, modification and distribution are subject to the
//  Boost Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

#include <pch_light.hpp>
#include "test_ibeta.hpp"

#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
#  define TEST_FLOAT
#  define TEST_DOUBLE
#  define TEST_LDOUBLE
#  define TEST_REAL_CONCEPT
#endif

//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the incomplete beta functions beta, 
// betac, ibeta and ibetac.  There are two sets of tests, spot
// tests which compare our results with selected values computed
// using the online special function calculator at 
// functions.wolfram.com, while the bulk of the accuracy tests
// use values generated with NTL::RR at 1000-bit precision
// and our generic versions of these functions.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms.  In this situation you will 
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable.  Either way please
// report the results to the Boost mailing list.  Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//

void expected_results()
{
   //
   // Define the max and mean errors expected for
   // various compilers and platforms.
   //
   const char* largest_type;
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
   if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
   {
      largest_type = "(long\\s+)?double";
   }
   else
   {
      largest_type = "long double";
   }
#else
   largest_type = "(long\\s+)?double";
#endif
   //
   // Darwin: just one special case for real_concept:
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Mac OS",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 400000, 50000);             // test function

   //
   // Linux - results depend quite a bit on the
   // processor type, and how good the std::pow
   // function is for that processor.
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux",                          // platform
      largest_type,                     // test type(s)
      "(?i).*small.*",                  // test data group
      ".*", 350, 100);  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux",                          // platform
      largest_type,                     // test type(s)
      "(?i).*medium.*",                     // test data group
      ".*", 300, 80);  // test function
   //
   // Deficiencies in pow function really kick in here for
   // large arguments.  Note also that the tests here get
   // *very* extreme due to the increased exponent range
   // of 80-bit long doubles.  Also effect Mac OS.
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux|Mac OS",                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 200000, 10000);                 // test function
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux|Mac OS|Sun.*",             // platform
      "double",                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 40, 20);                 // test function
#endif
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux|Mac OS",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*medium.*",                 // test data group
      ".*", 350, 100);  // test function

   //
   // HP-UX:
   //
   // Large value tests include some with *very* extreme
   // results, thanks to the large exponent range of
   // 128-bit long doubles.
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "HP-UX",                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 200000, 10000);                 // test function
   //
   // Tru64:
   //
   add_expected_result(
      ".*Tru64.*",                          // compiler
      ".*",                          // stdlib
      ".*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 130000, 10000);                 // test function
   //
   // Sun OS:
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Sun.*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 130000, 10000);                 // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Sun.*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*small.*",                      // test data group
      ".*", 130, 30);                 // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Sun.*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*medium.*",                 // test data group
      ".*", 250, 40);                   // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Sun.*",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*medium.*",                 // test data group
      ".*", 250, 40);                   // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Sun.*",                          // platform
      "real_concept",                     // test type(s)
      "(?i).*small.*",                      // test data group
      ".*", 130, 30);                 // test function
   //
   // MinGW:
   //
   add_expected_result(
      "GNU[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "Win32[^|]*",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*medium.*",                     // test data group
      ".*", 400, 50);  // test function
   add_expected_result(
      "GNU.*",                          // compiler
      ".*",                          // stdlib
      "Win32.*",                          // platform
      "double",                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 20, 10);                 // test function
   add_expected_result(
      "GNU.*",                          // compiler
      ".*",                          // stdlib
      "Win32.*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 200000, 10000);                 // test function

#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
   //
   // No long doubles:
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      BOOST_PLATFORM,                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 13000, 500);                 // test function
#endif
   //
   // Catch all cases come last:
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*small.*",                  // test data group
      ".*", 90, 25);  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*medium.*",                     // test data group
      ".*", 350, 50);  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      largest_type,                     // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 5000, 500);                 // test function

   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*small.*",                      // test data group
      ".*", 90, 25);  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*medium.*",                     // test data group
      ".*", 250, 50);  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "real_concept",                   // test type(s)
      "(?i).*large.*",                      // test data group
      ".*", 200000, 50000);             // test function

   // catch all default is 2eps for all types:
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "[^|]*",                          // test type(s)
      "[^|]*",                          // test data group
      ".*", 2, 2);                      // test function
   //
   // Finish off by printing out the compiler/stdlib/platform names,
   // we do this to make it easier to mark up expected error rates.
   //
   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}

BOOST_AUTO_TEST_CASE( test_main )
{
   expected_results();
   BOOST_MATH_CONTROL_FP;
#ifdef TEST_GSL
   gsl_set_error_handler_off();
#endif
#ifdef TEST_FLOAT
   test_spots(0.0F);
#endif
#ifdef TEST_DOUBLE
   test_spots(0.0);
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
   test_spots(0.0L);
#endif
#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582))
#ifdef TEST_REAL_CONCEPT
   test_spots(boost::math::concepts::real_concept(0.1));
#endif
#endif
#endif

#ifdef TEST_FLOAT
   test_beta(0.1F, "float");
#endif
#ifdef TEST_DOUBLE
   test_beta(0.1, "double");
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
   test_beta(0.1L, "long double");
#endif
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
#ifdef TEST_REAL_CONCEPT
   test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
#endif
#endif
#else
   std::cout << "<note>The long double tests have been disabled on this platform "
      "either because the long double overloads of the usual math functions are "
      "not available at all, or because they are too inaccurate for these tests "
      "to pass.</note>" << std::endl;
#endif
   
}
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_ibeta.hpp"
	8
	9	#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
	10	# define TEST_FLOAT
	11	# define TEST_DOUBLE
	12	# define TEST_LDOUBLE
	13	# define TEST_REAL_CONCEPT
	14	#endif
	15
	16	//
	17	// DESCRIPTION:
	18	// ~~~~~~~~~~~~
	19	//
	20	// This file tests the incomplete beta functions beta,
	21	// betac, ibeta and ibetac. There are two sets of tests, spot
	22	// tests which compare our results with selected values computed
	23	// using the online special function calculator at
	24	// functions.wolfram.com, while the bulk of the accuracy tests
	25	// use values generated with NTL::RR at 1000-bit precision
	26	// and our generic versions of these functions.
	27	//
	28	// Note that when this file is first run on a new platform many of
	29	// these tests will fail: the default accuracy is 1 epsilon which
	30	// is too tight for most platforms. In this situation you will
	31	// need to cast a human eye over the error rates reported and make
	32	// a judgement as to whether they are acceptable. Either way please
	33	// report the results to the Boost mailing list. Acceptable rates of
	34	// error are marked up below as a series of regular expressions that
	35	// identify the compiler/stdlib/platform/data-type/test-data/test-function
	36	// along with the maximum expected peek and RMS mean errors for that
	37	// test.
	38	//
	39
	40	void expected_results()
	41	{
	42	//
	43	// Define the max and mean errors expected for
	44	// various compilers and platforms.
	45	//
	46	const char* largest_type;
	47	#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
	48	if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
	49	{
	50	largest_type = "(long\\s+)?double";
	51	}
	52	else
	53	{
	54	largest_type = "long double";
	55	}
	56	#else
	57	largest_type = "(long\\s+)?double";
	58	#endif
	59	//
	60	// Darwin: just one special case for real_concept:
	61	//
	62	add_expected_result(
	63	"[^\|]*", // compiler
	64	"[^\|]*", // stdlib
65	"Mac OS", // platform
66	"real_concept", // test type(s)
67	"(?i).large.", // test data group
68	".*", 400000, 50000); // test function
69
70	//
71	// Linux - results depend quite a bit on the
72	// processor type, and how good the std::pow
73	// function is for that processor.
74	//
75	add_expected_result(
76	"[^\|]*", // compiler
77	"[^\|]*", // stdlib
78	"linux", // platform
79	largest_type, // test type(s)
80	"(?i).small.", // test data group
81	".*", 350, 100); // test function
82	add_expected_result(
83	"[^\|]*", // compiler
84	"[^\|]*", // stdlib
85	"linux", // platform
86	largest_type, // test type(s)
87	"(?i).medium.", // test data group
88	".*", 300, 80); // test function
89	//
90	// Deficiencies in pow function really kick in here for
91	// large arguments. Note also that the tests here get
92	// very extreme due to the increased exponent range
93	// of 80-bit long doubles. Also effect Mac OS.
94	//
95	add_expected_result(
96	"[^\|]*", // compiler
97	"[^\|]*", // stdlib
98	"linux\|Mac OS", // platform
99	largest_type, // test type(s)
100	"(?i).large.", // test data group
101	".*", 200000, 10000); // test function
102	#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
103	add_expected_result(
104	"[^\|]*", // compiler
105	"[^\|]*", // stdlib
106	"linux\|Mac OS\|Sun.*", // platform
107	"double", // test type(s)
108	"(?i).large.", // test data group
109	".*", 40, 20); // test function
110	#endif
111	add_expected_result(
112	"[^\|]*", // compiler
113	"[^\|]*", // stdlib
114	"linux\|Mac OS", // platform
115	"real_concept", // test type(s)
116	"(?i).medium.", // test data group
117	".*", 350, 100); // test function
118
119	//
120	// HP-UX:
121	//
122	// Large value tests include some with very extreme
123	// results, thanks to the large exponent range of
124	// 128-bit long doubles.
125	//
126	add_expected_result(
127	"[^\|]*", // compiler
128	"[^\|]*", // stdlib
129	"HP-UX", // platform
130	largest_type, // test type(s)
131	"(?i).large.", // test data group
132	".*", 200000, 10000); // test function
133	//
134	// Tru64:
135	//
136	add_expected_result(
137	".Tru64.", // compiler
138	".*", // stdlib
139	".*", // platform
140	largest_type, // test type(s)
141	"(?i).large.", // test data group
142	".*", 130000, 10000); // test function
143	//
144	// Sun OS:
145	//
146	add_expected_result(
147	"[^\|]*", // compiler
148	"[^\|]*", // stdlib
149	"Sun.*", // platform
150	largest_type, // test type(s)
151	"(?i).large.", // test data group
152	".*", 130000, 10000); // test function
153	add_expected_result(
154	"[^\|]*", // compiler
155	"[^\|]*", // stdlib
156	"Sun.*", // platform
157	largest_type, // test type(s)
158	"(?i).small.", // test data group
159	".*", 130, 30); // test function
160	add_expected_result(
161	"[^\|]*", // compiler
162	"[^\|]*", // stdlib
163	"Sun.*", // platform
164	largest_type, // test type(s)
165	"(?i).medium.", // test data group
166	".*", 250, 40); // test function
167	add_expected_result(
168	"[^\|]*", // compiler
169	"[^\|]*", // stdlib
170	"Sun.*", // platform
171	"real_concept", // test type(s)
172	"(?i).medium.", // test data group
173	".*", 250, 40); // test function
174	add_expected_result(
175	"[^\|]*", // compiler
176	"[^\|]*", // stdlib
177	"Sun.*", // platform
178	"real_concept", // test type(s)
179	"(?i).small.", // test data group
180	".*", 130, 30); // test function
181	//
182	// MinGW:
183	//
184	add_expected_result(
185	"GNU[^\|]*", // compiler
186	"[^\|]*", // stdlib
187	"Win32[^\|]*", // platform
188	"real_concept", // test type(s)
189	"(?i).medium.", // test data group
190	".*", 400, 50); // test function
191	add_expected_result(
192	"GNU.*", // compiler
193	".*", // stdlib
194	"Win32.*", // platform
195	"double", // test type(s)
196	"(?i).large.", // test data group
197	".*", 20, 10); // test function
198	add_expected_result(
199	"GNU.*", // compiler
200	".*", // stdlib
201	"Win32.*", // platform
202	largest_type, // test type(s)
203	"(?i).large.", // test data group
204	".*", 200000, 10000); // test function
205
206	#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
207	//
208	// No long doubles:
209	//
210	add_expected_result(
211	"[^\|]*", // compiler
212	"[^\|]*", // stdlib
213	BOOST_PLATFORM, // platform
214	largest_type, // test type(s)
215	"(?i).large.", // test data group
216	".*", 13000, 500); // test function
217	#endif
218	//
219	// Catch all cases come last:
220	//
221	add_expected_result(
222	"[^\|]*", // compiler
223	"[^\|]*", // stdlib
224	"[^\|]*", // platform
225	largest_type, // test type(s)
226	"(?i).small.", // test data group
227	".*", 90, 25); // test function
228	add_expected_result(
229	"[^\|]*", // compiler
230	"[^\|]*", // stdlib
231	"[^\|]*", // platform
232	largest_type, // test type(s)
233	"(?i).medium.", // test data group
234	".*", 350, 50); // test function
235	add_expected_result(
236	"[^\|]*", // compiler
237	"[^\|]*", // stdlib
238	"[^\|]*", // platform
239	largest_type, // test type(s)
240	"(?i).large.", // test data group
241	".*", 5000, 500); // test function
242
243	add_expected_result(
244	"[^\|]*", // compiler
245	"[^\|]*", // stdlib
246	"[^\|]*", // platform
247	"real_concept", // test type(s)
248	"(?i).small.", // test data group
249	".*", 90, 25); // test function
250	add_expected_result(
251	"[^\|]*", // compiler
252	"[^\|]*", // stdlib
253	"[^\|]*", // platform
254	"real_concept", // test type(s)
255	"(?i).medium.", // test data group
256	".*", 250, 50); // test function
257	add_expected_result(
258	"[^\|]*", // compiler
259	"[^\|]*", // stdlib
260	"[^\|]*", // platform
261	"real_concept", // test type(s)
262	"(?i).large.", // test data group
263	".*", 200000, 50000); // test function
264
265	// catch all default is 2eps for all types:
266	add_expected_result(
267	"[^\|]*", // compiler
268	"[^\|]*", // stdlib
269	"[^\|]*", // platform
270	"[^\|]*", // test type(s)
271	"[^\|]*", // test data group
272	".*", 2, 2); // test function
273	//
274	// Finish off by printing out the compiler/stdlib/platform names,
275	// we do this to make it easier to mark up expected error rates.
276	//
277	std::cout << "Tests run with " << BOOST_COMPILER << ", "
278	<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
279	}
280
281	BOOST_AUTO_TEST_CASE( test_main )
282	{
283	expected_results();
284	BOOST_MATH_CONTROL_FP;
285	#ifdef TEST_GSL
286	gsl_set_error_handler_off();
287	#endif
288	#ifdef TEST_FLOAT
289	test_spots(0.0F);
290	#endif
291	#ifdef TEST_DOUBLE
292	test_spots(0.0);
293	#endif
294	#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
295	#ifdef TEST_LDOUBLE
296	test_spots(0.0L);
297	#endif
20effc67	298	#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582))
7c673cae FG	299	#ifdef TEST_REAL_CONCEPT
	300	test_spots(boost::math::concepts::real_concept(0.1));
	301	#endif
	302	#endif
	303	#endif
	304
	305	#ifdef TEST_FLOAT
	306	test_beta(0.1F, "float");
	307	#endif
	308	#ifdef TEST_DOUBLE
	309	test_beta(0.1, "double");
	310	#endif
	311	#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
	312	#ifdef TEST_LDOUBLE
	313	test_beta(0.1L, "long double");
	314	#endif
	315	#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
	316	#ifdef TEST_REAL_CONCEPT
	317	test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
	318	#endif
	319	#endif
	320	#else
	321	std::cout << "<note>The long double tests have been disabled on this platform "
	322	"either because the long double overloads of the usual math functions are "
	323	"not available at all, or because they are too inaccurate for these tests "
	324	"to pass.</note>" << std::endl;
	325	#endif
	326
	327	}
	328
	329
	330
	331
	332