| // Copyright (c) 2013 Anton Bikineev |
| // 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_bessel_j_prime.hpp" |
| |
| // |
| // DESCRIPTION: |
| // ~~~~~~~~~~~~ |
| // |
| // This file tests the bessel functions derivatives. 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 Boost.Multiprecision at 50 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|real_concept"; |
| } |
| else |
| { |
| largest_type = "long double|real_concept"; |
| } |
| #else |
| largest_type = "(long\\s+)?double"; |
| #endif |
| // |
| // HP-UX specific rates: |
| // |
| // Error rate for double precision are limited by the accuracy of |
| // the approximations use, which bracket rather than preserve the root. |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "HP-UX", // platform |
| largest_type, // test type(s) |
| ".*J0'.*Tricky.*", // test data group |
| ".*", 80000000000LL, 80000000000LL); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "HP-UX", // platform |
| largest_type, // test type(s) |
| ".*J1'.*Tricky.*", // test data group |
| ".*", 3000000, 2000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "HP-UX", // platform |
| "double", // test type(s) |
| ".*Tricky.*", // test data group |
| ".*", 100000, 100000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "HP-UX", // platform |
| largest_type, // test type(s) |
| ".*J'.*Tricky.*", // test data group |
| ".*", 3000, 500); // test function |
| // |
| // HP Tru64: |
| // |
| add_expected_result( |
| ".*Tru64.*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "double", // test type(s) |
| ".*Tricky.*", // test data group |
| ".*", 100000, 100000); // test function |
| add_expected_result( |
| ".*Tru64.*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*Tricky large.*", // test data group |
| ".*", 3000, 1000); // test function |
| // |
| // Solaris specific rates: |
| // |
| // Error rate for double precision are limited by the accuracy of |
| // the approximations use, which bracket rather than preserve the root. |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Sun Solaris", // platform |
| largest_type, // test type(s) |
| "Bessel J': Random Data.*Tricky.*", // test data group |
| ".*", 3000, 500); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Sun Solaris", // platform |
| "double", // test type(s) |
| ".*Tricky.*", // test data group |
| ".*", 200000, 100000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Sun Solaris", // platform |
| largest_type, // test type(s) |
| ".*J'.*tricky.*", // test data group |
| ".*", 400000000, 200000000); // test function |
| // |
| // Mac OS X: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Mac OS", // platform |
| largest_type, // test type(s) |
| ".*J0'.*Tricky.*", // test data group |
| ".*", 400000000, 400000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Mac OS", // platform |
| largest_type, // test type(s) |
| ".*J1'.*Tricky.*", // test data group |
| ".*", 3000000, 2000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Mac OS", // platform |
| largest_type, // test type(s) |
| "Bessel JN'.*", // test data group |
| ".*", 60000, 20000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Mac OS", // platform |
| largest_type, // test type(s) |
| "Bessel J':.*", // test data group |
| ".*", 60000, 20000); // test function |
| |
| |
| |
| // |
| // Linux specific results: |
| // |
| // sin and cos appear to have only double precision for large |
| // arguments on some linux distros: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "linux", // platform |
| largest_type, // test type(s) |
| ".*J':.*", // test data group |
| ".*", 60000, 30000); // test function |
| |
| |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits) |
| && (std::numeric_limits<long double>::digits < 90)) |
| { |
| // some errors spill over into type double as well: |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "double", // test type(s) |
| ".*J0'.*Tricky.*", // test data group |
| ".*", 400000, 400000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "double", // test type(s) |
| ".*J1'.*Tricky.*", // test data group |
| ".*", 5000, 5000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "double", // test type(s) |
| ".*(JN'|j').*|.*Tricky.*", // test data group |
| ".*", 50, 50); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "double", // test type(s) |
| ".*", // test data group |
| ".*", 30, 30); // test function |
| // |
| // and we have a few cases with higher limits as well: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*J0'.*Tricky.*", // test data group |
| ".*", 400000000, 400000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*J1'.*Tricky.*", // test data group |
| ".*", 5000000, 5000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*(JN'|j').*|.*Tricky.*", // test data group |
| ".*", 60000, 40000); // test function |
| } |
| #endif |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*J0'.*Tricky.*", // test data group |
| ".*", 400000000, 400000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*J1'.*Tricky.*", // test data group |
| ".*", 5000000, 5000000); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| "Bessel j':.*|Bessel JN': Mathworld.*|.*Tricky.*", // test data group |
| ".*", 1500, 700); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*", // test data group |
| ".*", 40, 20); // test function |
| // |
| // One set of float tests has inexact input values, so there is a slight error: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "float", // test type(s) |
| "Bessel J': Mathworld Data", // test data group |
| ".*", 30, 20); // 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 ) |
| { |
| #ifdef TEST_GSL |
| gsl_set_error_handler_off(); |
| #endif |
| expected_results(); |
| BOOST_MATH_CONTROL_FP; |
| |
| test_bessel_prime(0.1F, "float"); |
| test_bessel_prime(0.1, "double"); |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| test_bessel_prime(0.1L, "long double"); |
| #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS |
| test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept"); |
| #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 |
| } |
| |
| |
| |
| |
