[ceph.git] / ceph / src / boost / libs / math / test / test_igamma_inv.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_igamma_inv.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 gamma function inverses 
// gamma_p_inv and gamma_q_inv. There are three sets of tests:
// 1) Spot tests which compare our results with selected values 
// computed using the online special function calculator at 
// functions.wolfram.com, 
// 2) Accuracy tests use values generated with NTL::RR at 
// 1000-bit precision and our generic versions of these functions.
// 3) Round trip sanity checks, use the test data for the forward
// functions, and verify that we can get (approximately) back
// where we started.
//
// 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
   //
   // Large exponent range causes more extreme test cases to be evaluated:
   //
   if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
   {
      add_expected_result(
         "[^|]*",                          // compiler
         "[^|]*",                          // stdlib
         "[^|]*",                          // platform
         largest_type,                     // test type(s)
         "[^|]*small[^|]*",                    // test data group
         "[^|]*", 200000, 10000);              // test function
      add_expected_result(
         "[^|]*",                          // compiler
         "[^|]*",                          // stdlib
         "[^|]*",                          // platform
         "real_concept",                     // test type(s)
         "[^|]*small[^|]*",                   // test data group
         "[^|]*", 98000, 12000);                  // test function
   }
   //
   // These high error rates are seen on on some Linux
   // architectures:
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux.*",                          // platform
      largest_type,                     // test type(s)
      "[^|]*medium[^|]*",                   // test data group
      "[^|]*", 350, 5);                  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "linux.*",                          // platform
      largest_type,                     // test type(s)
      "[^|]*large[^|]*",                   // test data group
      "[^|]*", 150, 5);                  // test function


   //
   // Catch all cases come last:
   //
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      largest_type,                     // test type(s)
      "[^|]*medium[^|]*",                   // test data group
      "[^|]*", 20, 5);                  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      largest_type,                     // test type(s)
      "[^|]*large[^|]*",                    // test data group
      "[^|]*", 5, 2);                   // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      largest_type,                     // test type(s)
      "[^|]*small[^|]*",                    // test data group
      "[^|]*", 2100, 500);              // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "float|double",                   // test type(s)
      "[^|]*small[^|]*",                    // test data group
      "gamma_p_inv", 500, 60);   // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "float|double",                   // test type(s)
      "[^|]*",                          // test data group
      "gamma_q_inv", 350, 60);   // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "float|double",                   // test type(s)
      "[^|]*",                          // test data group
      "[^|]*", 4, 2);                   // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "real_concept",                     // test type(s)
      "[^|]*medium[^|]*",                   // test data group
      "[^|]*", 20, 5);                  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "real_concept",                     // test type(s)
      "[^|]*large[^|]*",                   // test data group
      "[^|]*", 1000, 500);                  // test function
   add_expected_result(
      "[^|]*",                          // compiler
      "[^|]*",                          // stdlib
      "[^|]*",                          // platform
      "real_concept",                     // test type(s)
      "[^|]*small[^|]*",                   // test data group
      "[^|]*", 3700, 500);                  // 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;

#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
#ifdef TEST_FLOAT
   test_spots(0.0F, "float");
#endif
#endif
#ifdef TEST_DOUBLE
   test_spots(0.0, "double");
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
   test_spots(0.0L, "long double");
#endif
#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582))
#ifdef TEST_REAL_CONCEPT
   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
#endif
#endif
#endif

#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
#ifdef TEST_FLOAT
   test_gamma(0.1F, "float");
#endif
#endif
#ifdef TEST_DOUBLE
   test_gamma(0.1, "double");
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
   test_gamma(0.1L, "long double");
#endif
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582))
#ifdef TEST_REAL_CONCEPT
   test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
#endif
#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_igamma_inv.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 gamma function inverses
	21	// gamma_p_inv and gamma_q_inv. There are three sets of tests:
	22	// 1) Spot tests which compare our results with selected values
	23	// computed using the online special function calculator at
	24	// functions.wolfram.com,
	25	// 2) Accuracy tests use values generated with NTL::RR at
	26	// 1000-bit precision and our generic versions of these functions.
	27	// 3) Round trip sanity checks, use the test data for the forward
	28	// functions, and verify that we can get (approximately) back
	29	// where we started.
	30	//
	31	// Note that when this file is first run on a new platform many of
	32	// these tests will fail: the default accuracy is 1 epsilon which
	33	// is too tight for most platforms. In this situation you will
	34	// need to cast a human eye over the error rates reported and make
	35	// a judgement as to whether they are acceptable. Either way please
	36	// report the results to the Boost mailing list. Acceptable rates of
	37	// error are marked up below as a series of regular expressions that
	38	// identify the compiler/stdlib/platform/data-type/test-data/test-function
	39	// along with the maximum expected peek and RMS mean errors for that
	40	// test.
	41	//
	42
	43	void expected_results()
	44	{
	45	//
	46	// Define the max and mean errors expected for
	47	// various compilers and platforms.
	48	//
	49	const char* largest_type;
	50	#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
	51	if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
	52	{
	53	largest_type = "(long\\s+)?double";
	54	}
	55	else
	56	{
	57	largest_type = "long double";
	58	}
	59	#else
	60	largest_type = "(long\\s+)?double";
	61	#endif
	62	//
	63	// Large exponent range causes more extreme test cases to be evaluated:
	64	//
65	if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
66	{
67	add_expected_result(
68	"[^\|]*", // compiler
69	"[^\|]*", // stdlib
70	"[^\|]*", // platform
71	largest_type, // test type(s)
72	"[^\|]small[^\|]", // test data group
73	"[^\|]*", 200000, 10000); // test function
74	add_expected_result(
75	"[^\|]*", // compiler
76	"[^\|]*", // stdlib
77	"[^\|]*", // platform
78	"real_concept", // test type(s)
79	"[^\|]small[^\|]", // test data group
92f5a8d4	80	"[^\|]*", 98000, 12000); // test function
7c673cae FG	81	}
	82	//
	83	// These high error rates are seen on on some Linux
	84	// architectures:
	85	//
	86	add_expected_result(
	87	"[^\|]*", // compiler
	88	"[^\|]*", // stdlib
	89	"linux.*", // platform
	90	largest_type, // test type(s)
	91	"[^\|]medium[^\|]", // test data group
	92	"[^\|]*", 350, 5); // test function
	93	add_expected_result(
	94	"[^\|]*", // compiler
	95	"[^\|]*", // stdlib
	96	"linux.*", // platform
	97	largest_type, // test type(s)
	98	"[^\|]large[^\|]", // test data group
	99	"[^\|]*", 150, 5); // test function
	100
	101
	102	//
	103	// Catch all cases come last:
	104	//
	105	add_expected_result(
	106	"[^\|]*", // compiler
	107	"[^\|]*", // stdlib
	108	"[^\|]*", // platform
	109	largest_type, // test type(s)
	110	"[^\|]medium[^\|]", // test data group
	111	"[^\|]*", 20, 5); // test function
	112	add_expected_result(
	113	"[^\|]*", // compiler
	114	"[^\|]*", // stdlib
	115	"[^\|]*", // platform
	116	largest_type, // test type(s)
	117	"[^\|]large[^\|]", // test data group
	118	"[^\|]*", 5, 2); // test function
	119	add_expected_result(
	120	"[^\|]*", // compiler
	121	"[^\|]*", // stdlib
	122	"[^\|]*", // platform
	123	largest_type, // test type(s)
	124	"[^\|]small[^\|]", // test data group
	125	"[^\|]*", 2100, 500); // test function
	126	add_expected_result(
	127	"[^\|]*", // compiler
	128	"[^\|]*", // stdlib
	129	"[^\|]*", // platform
	130	"float\|double", // test type(s)
	131	"[^\|]small[^\|]", // test data group
	132	"gamma_p_inv", 500, 60); // test function
	133	add_expected_result(
	134	"[^\|]*", // compiler
	135	"[^\|]*", // stdlib
	136	"[^\|]*", // platform
	137	"float\|double", // test type(s)
	138	"[^\|]*", // test data group
	139	"gamma_q_inv", 350, 60); // test function
	140	add_expected_result(
	141	"[^\|]*", // compiler
	142	"[^\|]*", // stdlib
	143	"[^\|]*", // platform
	144	"float\|double", // test type(s)
145	"[^\|]*", // test data group
146	"[^\|]*", 4, 2); // test function
147	add_expected_result(
148	"[^\|]*", // compiler
149	"[^\|]*", // stdlib
150	"[^\|]*", // platform
151	"real_concept", // test type(s)
152	"[^\|]medium[^\|]", // test data group
153	"[^\|]*", 20, 5); // test function
154	add_expected_result(
155	"[^\|]*", // compiler
156	"[^\|]*", // stdlib
157	"[^\|]*", // platform
158	"real_concept", // test type(s)
159	"[^\|]large[^\|]", // test data group
160	"[^\|]*", 1000, 500); // test function
161	add_expected_result(
162	"[^\|]*", // compiler
163	"[^\|]*", // stdlib
164	"[^\|]*", // platform
165	"real_concept", // test type(s)
166	"[^\|]small[^\|]", // test data group
167	"[^\|]*", 3700, 500); // test function
168
169	//
170	// Finish off by printing out the compiler/stdlib/platform names,
171	// we do this to make it easier to mark up expected error rates.
172	//
173	std::cout << "Tests run with " << BOOST_COMPILER << ", "
174	<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
175	}
176
177	BOOST_AUTO_TEST_CASE( test_main )
178	{
179	expected_results();
180	BOOST_MATH_CONTROL_FP;
181
182	#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
183	#ifdef TEST_FLOAT
184	test_spots(0.0F, "float");
185	#endif
186	#endif
187	#ifdef TEST_DOUBLE
188	test_spots(0.0, "double");
189	#endif
190	#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
191	#ifdef TEST_LDOUBLE
192	test_spots(0.0L, "long double");
193	#endif
20effc67	194	#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582))
7c673cae FG	195	#ifdef TEST_REAL_CONCEPT
	196	test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
	197	#endif
	198	#endif
	199	#endif
	200
	201	#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
	202	#ifdef TEST_FLOAT
	203	test_gamma(0.1F, "float");
	204	#endif
	205	#endif
	206	#ifdef TEST_DOUBLE
	207	test_gamma(0.1, "double");
	208	#endif
	209	#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
	210	#ifdef TEST_LDOUBLE
	211	test_gamma(0.1L, "long double");
	212	#endif
	213	#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
20effc67	214	#if !BOOST_WORKAROUND(BOOST_BORLANDC, BOOST_TESTED_AT(0x582))
7c673cae FG	215	#ifdef TEST_REAL_CONCEPT
	216	test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
	217	#endif
	218	#endif
	219	#endif
	220	#else
	221	std::cout << "<note>The long double tests have been disabled on this platform "
	222	"either because the long double overloads of the usual math functions are "
	223	"not available at all, or because they are too inaccurate for these tests "
	224	"to pass.</note>" << std::endl;
	225	#endif
	226
	227	}
	228
	229
	230