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			231 lines
		
	
	
		
			8.6 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
		
		
			
		
	
	
			231 lines
		
	
	
		
			8.6 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_igamma_inv.hpp"
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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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|  | // DESCRIPTION:
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|  | // ~~~~~~~~~~~~
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|  | //
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|  | // This file tests the incomplete gamma function inverses 
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|  | // gamma_p_inv and gamma_q_inv. There are three sets of tests:
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|  | // 1) Spot tests which compare our results with selected values 
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|  | // computed using the online special function calculator at 
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|  | // functions.wolfram.com, 
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|  | // 2) Accuracy tests use values generated with NTL::RR at 
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|  | // 1000-bit precision and our generic versions of these functions.
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|  | // 3) Round trip sanity checks, use the test data for the forward
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|  | // functions, and verify that we can get (approximately) back
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|  | // where we started.
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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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|  |    // 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; | ||
|  | #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<> >()) | ||
|  |    { | ||
|  |       largest_type = "(long\\s+)?double"; | ||
|  |    } | ||
|  |    else | ||
|  |    { | ||
|  |       largest_type = "long double"; | ||
|  |    } | ||
|  | #else
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|  |    largest_type = "(long\\s+)?double"; | ||
|  | #endif
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|  |    //
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|  |    // Large exponent range causes more extreme test cases to be evaluated:
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|  |    //
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|  |    if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent) | ||
|  |    { | ||
|  |       add_expected_result( | ||
|  |          "[^|]*",                          // compiler
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|  |          "[^|]*",                          // stdlib
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|  |          "[^|]*",                          // platform
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|  |          largest_type,                     // test type(s)
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|  |          "[^|]*small[^|]*",                    // test data group
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|  |          "[^|]*", 200000, 10000);              // test function
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|  |       add_expected_result( | ||
|  |          "[^|]*",                          // compiler
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|  |          "[^|]*",                          // stdlib
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|  |          "[^|]*",                          // platform
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|  |          "real_concept",                     // test type(s)
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|  |          "[^|]*small[^|]*",                   // test data group
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|  |          "[^|]*", 70000, 8000);                  // test function
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|  |    } | ||
|  |    //
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|  |    // These high error rates are seen on on some Linux
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|  |    // architectures:
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|  |    //
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // 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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|  |       "[^|]*medium[^|]*",                   // test data group
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|  |       "[^|]*", 350, 5);                  // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // 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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|  |       "[^|]*large[^|]*",                   // test data group
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|  |       "[^|]*", 150, 5);                  // test function
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|  | 
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|  | 
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|  |    //
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|  |    // Catch all cases come last:
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|  |    //
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       largest_type,                     // test type(s)
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|  |       "[^|]*medium[^|]*",                   // test data group
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|  |       "[^|]*", 20, 5);                  // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       largest_type,                     // test type(s)
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|  |       "[^|]*large[^|]*",                    // test data group
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|  |       "[^|]*", 5, 2);                   // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       largest_type,                     // test type(s)
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|  |       "[^|]*small[^|]*",                    // test data group
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|  |       "[^|]*", 2100, 500);              // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       "float|double",                   // test type(s)
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|  |       "[^|]*small[^|]*",                    // test data group
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|  |       "gamma_p_inv", 500, 60);   // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       "float|double",                   // test type(s)
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|  |       "[^|]*",                          // test data group
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|  |       "gamma_q_inv", 350, 60);   // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       "float|double",                   // test type(s)
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|  |       "[^|]*",                          // test data group
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|  |       "[^|]*", 4, 2);                   // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       "real_concept",                     // test type(s)
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|  |       "[^|]*medium[^|]*",                   // test data group
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|  |       "[^|]*", 20, 5);                  // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       "real_concept",                     // test type(s)
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|  |       "[^|]*large[^|]*",                   // test data group
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|  |       "[^|]*", 1000, 500);                  // test function
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|  |    add_expected_result( | ||
|  |       "[^|]*",                          // compiler
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|  |       "[^|]*",                          // stdlib
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|  |       "[^|]*",                          // platform
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|  |       "real_concept",                     // test type(s)
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|  |       "[^|]*small[^|]*",                   // test data group
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|  |       "[^|]*", 3700, 500);                  // test function
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|  | 
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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 << ", "  | ||
|  |       << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; | ||
|  | } | ||
|  | 
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|  | BOOST_AUTO_TEST_CASE( test_main ) | ||
|  | { | ||
|  |    expected_results(); | ||
|  |    BOOST_MATH_CONTROL_FP; | ||
|  | 
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|  | #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
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|  | #ifdef TEST_FLOAT
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|  |    test_spots(0.0F, "float"); | ||
|  | #endif
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|  | #endif
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|  | #ifdef TEST_DOUBLE
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|  |    test_spots(0.0, "double"); | ||
|  | #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, "long double"); | ||
|  | #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), "real_concept"); | ||
|  | #endif
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|  | #endif
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|  | #endif
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|  | 
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|  | #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
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|  | #ifdef TEST_FLOAT
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|  |    test_gamma(0.1F, "float"); | ||
|  | #endif
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|  | #endif
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|  | #ifdef TEST_DOUBLE
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|  |    test_gamma(0.1, "double"); | ||
|  | #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_gamma(0.1L, "long double"); | ||
|  | #endif
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|  | #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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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_gamma(boost::math::concepts::real_concept(0.1), "real_concept"); | ||
|  | #endif
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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 " | ||
|  |       "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
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|  |     | ||
|  | } | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 |