| // (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_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 beta function inverses |
| // ibeta_inv and ibetac_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) TODO!!!! 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. |
| // |
| // Note that permitted max errors are really pretty high |
| // at around 10000eps. The reason for this is that even |
| // if the forward function is off by 1eps, it's enough to |
| // throw out the inverse by ~7000eps. In other words the |
| // forward function may flatline, so that many x-values |
| // all map to about the same p. Trying to invert in this |
| // region is almost futile. |
| // |
| 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 |
| |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| // |
| // Linux etc, |
| // Extended exponent range of long double |
| // causes more extreme test cases to be executed: |
| // |
| if(std::numeric_limits<long double>::digits == 64) |
| { |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "double", // test type(s) |
| ".*", // test data group |
| ".*", 20, 10); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "long double", // test type(s) |
| ".*", // test data group |
| ".*", 200000, 100000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "real_concept", // test type(s) |
| ".*", // test data group |
| ".*", 5000000L, 500000); // test function |
| } |
| #endif |
| // |
| // MinGW, |
| // Extended exponent range of long double |
| // causes more extreme test cases to be executed: |
| // |
| add_expected_result( |
| "GNU.*", // compiler |
| ".*", // stdlib |
| "Win32.*", // platform |
| "double", // test type(s) |
| ".*", // test data group |
| ".*", 10, 10); // test function |
| add_expected_result( |
| "GNU.*", // compiler |
| ".*", // stdlib |
| "Win32.*", // platform |
| largest_type, // test type(s) |
| ".*", // test data group |
| ".*", 300000, 20000); // test function |
| |
| // |
| // HP-UX and Solaris: |
| // Extended exponent range of long double |
| // causes more extreme test cases to be executed: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "HP-UX|Sun Solaris", // platform |
| "long double", // test type(s) |
| ".*", // test data group |
| ".*", 200000, 100000); // test function |
| |
| // |
| // HP Tru64: |
| // Extended exponent range of long double |
| // causes more extreme test cases to be executed: |
| // |
| add_expected_result( |
| "HP Tru64.*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "long double", // test type(s) |
| ".*", // test data group |
| ".*", 200000, 100000); // test function |
| |
| // |
| // Catch all cases come last: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*", // test data group |
| ".*", 10000, 1000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "real_concept", // test type(s) |
| ".*", // test data group |
| ".*", 500000, 500000); // 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 ) |
| { |
| BOOST_MATH_CONTROL_FP; |
| expected_results(); |
| #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 |
| #ifdef TEST_REAL_CONCEPT |
| test_spots(boost::math::concepts::real_concept(0.1)); |
| #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::cout; |
| #endif |
| |
| } |
| |
| |
| |
| |
