123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309 |
- // (C) Copyright John Maddock 2007.
- // 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.hpp"
- //
- // DESCRIPTION:
- // ~~~~~~~~~~~~
- //
- // This file tests the bessel functions. 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 NTL::RR at 1000-bit 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
- ".*", 40000, 20000); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "Mac OS", // platform
- largest_type, // test type(s)
- "Bessel J:.*", // test data group
- ".*", 50000, 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
- ".*", 40000, 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
- ".*", 33000, 20000); // 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
- ".*", 20, 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(0.1F, "float");
- test_bessel(0.1, "double");
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- test_bessel(0.1L, "long double");
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- test_bessel(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::endl;
- #endif
- }
|