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			333 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			333 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| //  (C) Copyright John Maddock 2006.
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| //  Use, modification and distribution are subject to the
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| //  Boost Software License, Version 1.0. (See accompanying file
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| //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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| 
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| #include <pch_light.hpp>
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| #include "test_ibeta.hpp"
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| 
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| #if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
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| #  define TEST_FLOAT
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| #  define TEST_DOUBLE
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| #  define TEST_LDOUBLE
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| #  define TEST_REAL_CONCEPT
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| #endif
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| 
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| //
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| // DESCRIPTION:
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| // ~~~~~~~~~~~~
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| //
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| // This file tests the incomplete beta functions beta, 
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| // betac, ibeta and ibetac.  There are two sets of tests, spot
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| // tests which compare our results with selected values computed
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| // using the online special function calculator at 
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| // functions.wolfram.com, while the bulk of the accuracy tests
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| // use values generated with NTL::RR at 1000-bit precision
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| // and our generic versions of these functions.
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| //
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| // Note that when this file is first run on a new platform many of
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| // these tests will fail: the default accuracy is 1 epsilon which
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| // is too tight for most platforms.  In this situation you will 
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| // need to cast a human eye over the error rates reported and make
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| // a judgement as to whether they are acceptable.  Either way please
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| // report the results to the Boost mailing list.  Acceptable rates of
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| // error are marked up below as a series of regular expressions that
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| // identify the compiler/stdlib/platform/data-type/test-data/test-function
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| // along with the maximum expected peek and RMS mean errors for that
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| // test.
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| //
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| 
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| void expected_results()
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| {
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|    //
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|    // Define the max and mean errors expected for
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|    // various compilers and platforms.
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|    //
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|    const char* largest_type;
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| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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|    if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
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|    {
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|       largest_type = "(long\\s+)?double";
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|    }
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|    else
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|    {
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|       largest_type = "long double";
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|    }
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| #else
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|    largest_type = "(long\\s+)?double";
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| #endif
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|    //
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|    // Darwin: just one special case for real_concept:
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Mac OS",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 400000, 50000);             // test function
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| 
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|    //
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|    // Linux - results depend quite a bit on the
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|    // processor type, and how good the std::pow
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|    // function is for that processor.
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "linux",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*small.*",                  // test data group
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|       ".*", 350, 100);  // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "linux",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*medium.*",                     // test data group
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|       ".*", 300, 80);  // test function
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|    //
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|    // Deficiencies in pow function really kick in here for
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|    // large arguments.  Note also that the tests here get
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|    // *very* extreme due to the increased exponent range
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|    // of 80-bit long doubles.  Also effect Mac OS.
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "linux|Mac OS",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 200000, 10000);                 // test function
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| #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "linux|Mac OS|Sun.*",             // platform
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|       "double",                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 40, 20);                 // test function
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| #endif
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "linux|Mac OS",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*medium.*",                 // test data group
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|       ".*", 350, 100);  // test function
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| 
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|    //
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|    // HP-UX:
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|    //
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|    // Large value tests include some with *very* extreme
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|    // results, thanks to the large exponent range of
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|    // 128-bit long doubles.
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "HP-UX",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 200000, 10000);                 // test function
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|    //
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|    // Tru64:
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|    //
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|    add_expected_result(
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|       ".*Tru64.*",                          // compiler
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|       ".*",                          // stdlib
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|       ".*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 130000, 10000);                 // test function
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|    //
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|    // Sun OS:
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Sun.*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 130000, 10000);                 // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Sun.*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*small.*",                      // test data group
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|       ".*", 130, 30);                 // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Sun.*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*medium.*",                 // test data group
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|       ".*", 250, 40);                   // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Sun.*",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*medium.*",                 // test data group
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|       ".*", 250, 40);                   // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Sun.*",                          // platform
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|       "real_concept",                     // test type(s)
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|       "(?i).*small.*",                      // test data group
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|       ".*", 130, 30);                 // test function
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|    //
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|    // MinGW:
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|    //
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|    add_expected_result(
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|       "GNU[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "Win32[^|]*",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*medium.*",                     // test data group
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|       ".*", 400, 50);  // test function
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|    add_expected_result(
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|       "GNU.*",                          // compiler
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|       ".*",                          // stdlib
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|       "Win32.*",                          // platform
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|       "double",                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 20, 10);                 // test function
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|    add_expected_result(
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|       "GNU.*",                          // compiler
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|       ".*",                          // stdlib
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|       "Win32.*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 200000, 10000);                 // test function
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| 
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| #ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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|    //
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|    // No long doubles:
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       BOOST_PLATFORM,                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 13000, 500);                 // test function
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| #endif
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|    //
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|    // Catch all cases come last:
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|    //
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*small.*",                  // test data group
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|       ".*", 90, 25);  // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*medium.*",                     // test data group
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|       ".*", 350, 50);  // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       largest_type,                     // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 5000, 500);                 // test function
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| 
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*small.*",                      // test data group
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|       ".*", 90, 25);  // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*medium.*",                     // test data group
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|       ".*", 250, 50);  // test function
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       "real_concept",                   // test type(s)
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|       "(?i).*large.*",                      // test data group
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|       ".*", 200000, 50000);             // test function
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| 
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|    // catch all default is 2eps for all types:
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|    add_expected_result(
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|       "[^|]*",                          // compiler
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|       "[^|]*",                          // stdlib
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|       "[^|]*",                          // platform
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|       "[^|]*",                          // test type(s)
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|       "[^|]*",                          // test data group
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|       ".*", 2, 2);                      // test function
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|    //
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|    // Finish off by printing out the compiler/stdlib/platform names,
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|    // we do this to make it easier to mark up expected error rates.
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|    //
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|    std::cout << "Tests run with " << BOOST_COMPILER << ", " 
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|       << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
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| }
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| 
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| BOOST_AUTO_TEST_CASE( test_main )
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| {
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|    expected_results();
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|    BOOST_MATH_CONTROL_FP;
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| #ifdef TEST_GSL
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|    gsl_set_error_handler_off();
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| #endif
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| #ifdef TEST_FLOAT
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|    test_spots(0.0F);
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| #endif
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| #ifdef TEST_DOUBLE
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|    test_spots(0.0);
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| #endif
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| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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| #ifdef TEST_LDOUBLE
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|    test_spots(0.0L);
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| #endif
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| #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
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| #ifdef TEST_REAL_CONCEPT
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|    test_spots(boost::math::concepts::real_concept(0.1));
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| #endif
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| #endif
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| #endif
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| 
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| #ifdef TEST_FLOAT
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|    test_beta(0.1F, "float");
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| #endif
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| #ifdef TEST_DOUBLE
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|    test_beta(0.1, "double");
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| #endif
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| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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| #ifdef TEST_LDOUBLE
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|    test_beta(0.1L, "long double");
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| #endif
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| #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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| #ifdef TEST_REAL_CONCEPT
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|    test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
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| #endif
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| #endif
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| #else
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|    std::cout << "<note>The long double tests have been disabled on this platform "
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|       "either because the long double overloads of the usual math functions are "
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|       "not available at all, or because they are too inaccurate for these tests "
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|       "to pass.</note>" << std::endl;
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| #endif
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|    
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| }
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| 
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| 
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| 
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| 
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| 
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