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math/test/test_bessel_y.cpp
John Maddock 8d9372fac9 Begin refactoring math lib test cases as template so they can used by other numerical types.
Change constant declarations in the Math lib headers to give full digits when used with UDT's that are constructible from strings.

[SVN r75820]
2011-12-06 09:38:16 +00:00

268 lines
10 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.hpp>
#include "test_bessel_y.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the bessel Y function. 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 and Solaris rates are very slightly higher:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX|Sun Solaris", // platform
largest_type, // test type(s)
".*(Y[nv]|y).*Random.*", // test data group
".*", 30000, 30000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX|Sun Solaris", // platform
largest_type, // test type(s)
".*Y[01Nv].*", // test data group
".*", 1300, 500); // test function
//
// Tru64:
//
add_expected_result(
".*Tru64.*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*(Y[nv]|y).*Random.*", // test data group
".*", 30000, 30000); // test function
add_expected_result(
".*Tru64.*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*Y[01Nv].*", // test data group
".*", 400, 200); // test function
//
// Mac OS X rates are very slightly higher:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
largest_type, // test type(s)
".*(Y[nv1]).*", // test data group
".*", 600000, 100000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
"long double|real_concept", // test type(s)
".*Y[0].*", // test data group
".*", 1200, 1000); // test function
//
// Linux:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
".*Yv.*Random.*", // test data group
".*", 200000, 200000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
".*Y[01v].*", // test data group
".*", 2000, 1000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
".*Yn.*", // test data group
".*", 30000, 30000); // test function
//
// MinGW:
//
add_expected_result(
".*mingw.*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*Yv.*Random.*", // test data group
".*", 200000, 200000); // test function
add_expected_result(
".*mingw.*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*Y[01v].*", // test data group
".*", 2000, 1000); // test function
add_expected_result(
".*mingw.*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*Yn.*", // test data group
".*", 30000, 30000); // test function
//
// Solaris version of long double has it's own error rates,
// again just a touch higher than msvc's 64-bit double:
//
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"Y[0N].*Mathworld.*", // test data group
".*", 2000, 2000); // 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)
".*Y[Nn].*", // test data group
".*", 20, 20); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"double", // test type(s)
".*Yv.*", // test data group
".*", 80, 70); // test function
}
#endif
//
// defaults are based on MSVC-8 on Win32:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*Y0.*Random.*", // test data group
".*", 600, 400); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*(Y[nv]|y).*Random.*", // test data group
".*", 2000, 2000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*(Y[nv]|y).*Random.*", // test data group
".*", 1500, 1000); // test function
//
// Fallback for sun has to go after the general cases above:
//
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"Y[0N].*", // test data group
".*", 200, 200); // test function
//
// General fallback:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*", // test data group
".*", 80, 40); // 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;
}
int test_main(int, char* [])
{
#ifdef TEST_GSL
gsl_set_error_handler_off();
#endif
expected_results();
BOOST_MATH_CONTROL_FP;
#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
test_bessel(0.1F, "float");
#endif
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::cout;
#endif
return 0;
}