310 lines
12 KiB
C++
310 lines
12 KiB
C++
// (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
|
|
}
|
|
|
|
|
|
|
|
|