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// (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_igamma.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the incomplete gamma functions tgamma,
// tgamma_lower, gamma_p and gamma_q. 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";
}
else
{
largest_type = "long double";
}
#else
largest_type = "(long\\s+)?double";
#endif
//
// Linux:
//
// These should not really be needed, but on *some* Linux
// versions these error rates are quite large and appear to
// be related to the accuracy of powl and expl. On Itanium
// or Xeon machines the error rates are much lower than this.
// Worst cases appear to be AMD64 machines.
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 1300, 200); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux", // platform
largest_type, // test type(s)
"[^|]*integer[^|]*", // test data group
"[^|]*", 1300, 200); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux", // platform
"real_concept", // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 1300, 200); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux", // platform
"real_concept", // test type(s)
"[^|]*integer[^|]*", // test data group
"[^|]*", 600, 200); // test function
//
// Mac OS X:
// It's not clear why these should be required, but see notes above
// about Linux.
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 5000, 1000); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
largest_type, // test type(s)
"[^|]*small[^|]*", // test data group
"[^|]*", 80, 40); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
largest_type, // test type(s)
"[^|]*integer[^|]*", // test data group
"[^|]*", 2000, 300); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
"real_concept", // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 5000, 1000); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
"real_concept", // test type(s)
"[^|]*small[^|]*", // test data group
"[^|]*", 75, 15); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
"real_concept", // test type(s)
"[^|]*integer[^|]*", // test data group
"[^|]*", 2000, 300); // test function
//
// HP-UX:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"HP-UX", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 500, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"HP-UX", // platform
"real_concept", // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 500, 100); // test function
//
// Sun OS:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 500, 100); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"[^|]*integer[^|]*", // test data group
"[^|]*", 100, 30); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
"real_concept", // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 500, 100); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
"real_concept", // test type(s)
"[^|]*integer[^|]*", // test data group
"[^|]*", 100, 30); // test function
//
// Mac OS X:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 100, 50); // test function
//
// Minw:
//
add_expected_result(
"GNU[^|]*", // compiler
"[^|]*", // stdlib
"Win32[^|]*", // platform
"real_concept", // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 1300, 200); // test function
add_expected_result(
"GNU[^|]*", // compiler
"[^|]*", // stdlib
"Win32[^|]*", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 700, 200); // test function
add_expected_result(
"GNU[^|]*", // compiler
"[^|]*", // stdlib
"Win32[^|]*", // platform
largest_type, // test type(s)
"[^|]*small[^|]*", // test data group
"[^|]*", 100, 50); // test function
add_expected_result(
"GNU[^|]*", // compiler
"[^|]*", // stdlib
"Win32[^|]*", // platform
largest_type, // test type(s)
"[^|]*integer[^|]*", // test data group
".*", 120, 50); // test function
add_expected_result(
"GNU[^|]*", // compiler
"[^|]*", // stdlib
"Win32[^|]*", // platform
"real_concept", // test type(s)
"[^|]*integer[^|]*", // test data group
".*", 100, 50); // test function
//
// Large exponent range causes more extreme test cases to be evaluated:
//
if(std::numeric_limits<long double>::max_exponent > std::numeric_limits<double>::max_exponent)
{
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"[^|]*large[^|]*", // test data group
".*", 40000, 3000); // test function
}
//
// Catch all cases come last:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 50, 20); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"[^|]*small[^|]*", // test data group
"[^|]*", 20, 10); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"[^|]*large[^|]*", // test data group
"boost::math::gamma_q", 500, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Cygwin", // platform
largest_type, // test type(s)
"[^|]*large[^|]*", // test data group
"boost::math::gamma_p", 700, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"[^|]*large[^|]*", // test data group
"boost::math::gamma_p", 350, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"[^|]*integer[^|]*", // test data group
".*", 20, 10); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"[^|]*medium[^|]*", // test data group
"[^|]*", 1500, 400); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"[^|]*small[^|]*", // test data group
".*", 100, 20); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"[^|]*large[^|]*", // test data group
".*", 1000000, 100000); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"[^|]*integer[^|]*", // test data group
".*", 200, 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;
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
BOOST_MATH_CONTROL_FP;
#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
test_spots(0.0F);
#endif
test_spots(0.0);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_spots(0.0L);
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test_spots(boost::math::concepts::real_concept(0.1));
#endif
#endif
#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
test_gamma(0.1F, "float");
#endif
test_gamma(0.1, "double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_gamma(0.1L, "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
test_gamma(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
}
|
