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libs/math/test/test_expint.cpp
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160
libs/math/test/test_expint.cpp
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// (C) Copyright John Maddock 2007.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <pch_light.hpp>
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#include "test_expint.hpp"
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//
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// DESCRIPTION:
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// ~~~~~~~~~~~~
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//
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// This file tests the expint functions. There are two sets of tests:
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// 1) Sanity checks: comparison to test values created with the
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// online calculator at functions.wolfram.com
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// 2) Accuracy tests use values generated with NTL::RR at
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// 1000-bit precision and our generic versions of these functions.
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//
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// Note that when this file is first run on a new platform many of
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// these tests will fail: the default accuracy is 1 epsilon which
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// is too tight for most platforms. In this situation you will
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// need to cast a human eye over the error rates reported and make
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// a judgement as to whether they are acceptable. Either way please
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// report the results to the Boost mailing list. Acceptable rates of
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// error are marked up below as a series of regular expressions that
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// identify the compiler/stdlib/platform/data-type/test-data/test-function
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// along with the maximum expected peek and RMS mean errors for that
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// test.
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//
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void expected_results()
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{
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//
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// Define the max and mean errors expected for
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// various compilers and platforms.
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//
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const char* largest_type;
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
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{
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largest_type = "(long\\s+)?double";
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}
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else
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{
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largest_type = "long double";
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}
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#else
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largest_type = "(long\\s+)?double";
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#endif
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//
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// On MacOS X erfc has much higher error levels than
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// expected: given that the implementation is basically
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// just a rational function evaluation combined with
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// exponentiation, we conclude that exp and pow are less
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// accurate on this platform, especially when the result
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// is outside the range of a double.
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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"float|double|long double", // test type(s)
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".*E1.*", // test data group
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".*", 30, 10); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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"float|double|long double|real_concept", // test type(s)
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".*Ei.*", // test data group
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".*", 300, 200); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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".*", // test type(s)
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".*", // test data group
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".*", 40, 15); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"float|double|long double", // test type(s)
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".*E1.*", // test data group
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".*", 2, 1); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"float|double|long double", // test type(s)
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".*Ei.*", // test data group
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".*", 6, 3); // test function
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if(std::numeric_limits<long double>::digits > 100)
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{
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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".*Ei.*", // test data group
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".*", 150, 50); // test function
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}
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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".*Ei.*", // test data group
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".*", 150, 50); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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".*", // test type(s)
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".*", // test data group
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".*", 25, 5); // test function
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std::cout << "Tests run with " << BOOST_COMPILER << ", "
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<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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expected_results();
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BOOST_MATH_CONTROL_FP;
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boost::math::expint(114.7);
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test_spots(0.0f, "float");
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test_spots(0.0, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_spots(0.0L, "long double");
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
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#endif
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::cout;
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#endif
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test_expint(0.1F, "float");
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test_expint(0.1, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_expint(0.1L, "long double");
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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test_expint(boost::math::concepts::real_concept(0.1), "real_concept");
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#endif
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::cout;
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#endif
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}
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