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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)
#ifndef SYCL_LANGUAGE_VERSION
#include <pch_light.hpp>
#endif
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/math/special_functions/gamma.hpp>
#include "test_gamma.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the functions tgamma and lgamma, and the
// function tgamma1pm1. 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
//
// G++ on Darwin: results are just slightly worse than we might hope for
// but still pretty good:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 100, 15); // test function
//
// G++ On Win32:
//
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Win32.*", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 100, 15); // test function
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Win32.*", // platform
"real_concept", // test type(s)
"factorials", // test data group
"tgamma", 600, 200); // test function
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Win32.*", // platform
"real_concept", // test type(s)
"near.*", // test data group
"tgamma", 200, 100); // test function
//
// Cygwin:
//
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Cygwin*", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 100, 15); // test function
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Cygwin*", // platform
"real_concept", // test type(s)
"factorials", // test data group
"tgamma", 600, 200); // test function
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Cygwin*", // platform
"real_concept", // test type(s)
"near.*", // test data group
"tgamma", 200, 100); // test function
//
// G++ on Linux, result vary a bit by processor type,
// on Itanium results are *much* better than listed here,
// but x86 appears to have much less accurate std::pow
// that throws off the results:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 600, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
"factorials", // test data group
"lgamma", 30, 10); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
"near (1|2|-10)", // test data group
"tgamma", 10, 5); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
"near (1|2|-10)", // test data group
"lgamma", 50, 50); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
largest_type, // test type(s)
"tgamma1pm1.*", // test data group
"tgamma1pm1", 50, 15); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
"real_concept", // test type(s)
"factorials", // test data group
"tgamma", 600, 100); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
"real_concept", // test type(s)
"near (0|-55)", // test data group
"(t|l)gamma", 300, 150); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"linux", // platform
"real_concept", // test type(s)
"tgamma1pm1.*", // test data group
"tgamma1pm1", 40, 10); // test function
//
// HP-UX results:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 5, 4); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX", // platform
largest_type, // test type(s)
"near (0|-55)", // test data group
"tgamma", 10, 5); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX", // platform
largest_type, // test type(s)
"near (1|2|-10)", // test data group
"lgamma", 250, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX", // platform
"real_concept", // test type(s)
"factorials", // test data group
"lgamma", 50, 20); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX", // platform
"real_concept", // test type(s)
"tgamma1pm1.*", // test data group
"tgamma1pm1", 200, 80); // test function
//
// Tru64:
//
add_expected_result(
".*Tru64.*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
"factorials", // test data group
"lgamma", 50, 20); // test function
//
// Sun OS:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 450, 100); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*Solaris.*", // platform
"real_concept", // test type(s)
"factorials", // test data group
"tgamma", 450, 150); // test function
//
// Catch all cases come last:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"factorials", // test data group
"tgamma", 4, 1); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"factorials", // test data group
"lgamma", 9, 1); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"near (0|-55)", // test data group
"(t|l)gamma", 200, 100); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"near (1|2|-10)", // test data group
"tgamma", 10, 5); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"near (1|2|-10)", // test data group
"lgamma", 14, 7); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"tgamma1pm1.*", // test data group
"tgamma1pm1", 30, 9); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
"factorials", // test data group
"tgamma", 600, 100); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
"factorials", // test data group
"lgamma", 200, 20); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
"near.*", // test data group
"tgamma", 300, 100); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
"near.*", // test data group
"lgamma", 40000000, 10000000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
"tgamma1pm1.*", // test data group
"tgamma1pm1", 20, 5); // 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, "float");
#endif
test_spots(0.0, "double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_spots(0.0L, "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
#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(BOOST_BORLANDC, BOOST_TESTED_AT(0x582)) && !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
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::endl;
#endif
}
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