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// (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_expint.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the expint functions. There are two sets of tests:
// 1) Sanity checks: comparison to test values created with the
// online calculator at functions.wolfram.com
// 2) 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.
//
//
// On MacOS X erfc has much higher error levels than
// expected: given that the implementation is basically
// just a rational function evaluation combined with
// exponentiation, we conclude that exp and pow are less
// accurate on this platform, especially when the result
// is outside the range of a double.
//
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
"float|double|long double", // test type(s)
".*E1.*", // test data group
".*", 30, 10); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
"float|double|long double|real_concept", // test type(s)
".*Ei.*", // test data group
".*", 300, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
".*", // test type(s)
".*", // test data group
".*", 40, 15); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"float|double|long double", // test type(s)
".*E1.*", // test data group
".*", 2, 1); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"float|double|long double", // test type(s)
".*Ei.*", // test data group
".*", 6, 3); // test function
if(std::numeric_limits<long double>::digits > 100)
{
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*Ei.*", // test data group
".*", 150, 50); // test function
}
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*Ei.*", // test data group
".*", 150, 50); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 25, 5); // test function
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;
boost::math::expint(114.7);
test_spots(0.0f, "float");
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
#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
test_expint(0.1F, "float");
test_expint(0.1, "double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_expint(0.1L, "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test_expint(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
}
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