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121 lines
3.4 KiB
C++
121 lines
3.4 KiB
C++
// unit test file acosh.hpp for the special functions test suite
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// (C) Copyright Hubert Holin 2003.
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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#include <functional>
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#include <iomanip>
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#include <iostream>
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#define BOOST_TEST_MAiN
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#include <boost/math/special_functions/acosh.hpp>
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#include <boost/test/unit_test.hpp>
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template<typename T>
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T acosh_error_evaluator(T x)
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{
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using ::std::abs;
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using ::std::sinh;
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using ::std::cosh;
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using ::std::numeric_limits;
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using ::boost::math::acosh;
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static T const epsilon = numeric_limits<float>::epsilon();
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T y = cosh(x);
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T z = acosh(y);
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T absolute_error = abs(z-abs(x));
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T relative_error = absolute_error*abs(sinh(x));
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T scaled_error = relative_error/epsilon;
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return(scaled_error);
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}
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BOOST_TEST_CASE_TEMPLATE_FUNCTION(acosh_test, T)
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{
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BOOST_TEST_MESSAGE("Testing acosh in the real domain for "
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<< string_type_name<T>::_() << ".");
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for (int i = 0; i <= 100; i++)
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{
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T x = static_cast<T>(i-50)/static_cast<T>(5);
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(acosh_error_evaluator(x))
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(static_cast<T>(4)));
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}
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// special cases for bug report: https://svn.boost.org/trac/boost/ticket/5113
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T x = 1e-2f;
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(acosh_error_evaluator(x))
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(static_cast<T>(4)));
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x = 1e-3f;
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(acosh_error_evaluator(x))
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(static_cast<T>(4)));
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x = 1e-4f;
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(acosh_error_evaluator(x))
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(static_cast<T>(4)));
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x = 1e-5f;
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(acosh_error_evaluator(x))
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(static_cast<T>(4)));
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x = 1e-6f;
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(acosh_error_evaluator(x))
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(static_cast<T>(4)));
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//
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// Special cases:
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//
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if(std::numeric_limits<T>::has_infinity)
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{
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T inf = std::numeric_limits<T>::infinity();
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boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::ignore_error> > pol;
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BOOST_CHECK_EQUAL(boost::math::asinh(inf, pol), inf);
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}
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}
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void acosh_manual_check()
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{
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BOOST_TEST_MESSAGE(" ");
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BOOST_TEST_MESSAGE("acosh");
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for (int i = 0; i <= 100; i++)
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{
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float xf = static_cast<float>(i-50)/static_cast<float>(5);
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double xd = static_cast<double>(i-50)/static_cast<double>(5);
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long double xl =
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static_cast<long double>(i-50)/static_cast<long double>(5);
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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BOOST_TEST_MESSAGE( ::std::setw(15)
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<< acosh_error_evaluator(xf)
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<< ::std::setw(15)
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<< acosh_error_evaluator(xd)
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<< ::std::setw(15)
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<< acosh_error_evaluator(xl));
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#else
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BOOST_TEST_MESSAGE( ::std::setw(15)
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<< acosh_error_evaluator(xf)
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<< ::std::setw(15)
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<< acosh_error_evaluator(xd));
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#endif
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}
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BOOST_TEST_MESSAGE(" ");
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}
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