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121 lines
3.6 KiB
C++
121 lines
3.6 KiB
C++
// unit test file sinhc.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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#include <complex>
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#include <boost/math/special_functions/sinhc.hpp>
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#include <boost/multiprecision/cpp_bin_float.hpp>
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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp>
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#include <boost/test/tools/floating_point_comparison.hpp>
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BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_test, T)
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{
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using ::std::abs;
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using ::std::numeric_limits;
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using ::boost::math::sinhc_pi;
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BOOST_TEST_MESSAGE("Testing sinhc_pi in the real domain for "
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<< string_type_name<T>::_() << ".");
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(abs(sinhc_pi<T>(static_cast<T>(0))-static_cast<T>(1)))
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(numeric_limits<T>::epsilon()));
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using mp_t = boost::multiprecision::cpp_bin_float_50;
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T val = 2;
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T tolerance = boost::math::tools::epsilon<T>() * 100;
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for (unsigned i = 0; i < 1000; ++i)
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{
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val /= 3;
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if (val < boost::math::tools::min_value<T>())
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break;
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T r1 = sinhc_pi(val);
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T r2 = static_cast<T>(sinh(mp_t(val)) / mp_t(val));
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BOOST_CHECK_CLOSE_FRACTION(r1, r2, tolerance);
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}
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}
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BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_complex_test, T)
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{
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using ::std::abs;
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using ::std::sin;
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using ::std::numeric_limits;
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using ::boost::math::sinhc_pi;
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BOOST_TEST_MESSAGE("Testing sinhc_pi in the complex domain for "
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<< string_type_name<T>::_() << ".");
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BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
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(abs(sinhc_pi<T>(::std::complex<T>(0, 1))-
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::std::complex<T>(sin(static_cast<T>(1)))))
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(numeric_limits<T>::epsilon()));
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using mp_t = boost::multiprecision::cpp_complex_50;
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std::complex<T> val(2, 2.5);
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for (unsigned i = 0; i < 50; ++i)
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{
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val /= 3;
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if (val.real() < boost::math::tools::min_value<T>())
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break;
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std::complex<T> r1 = sinhc_pi(val);
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std::complex<T> r2 = static_cast<std::complex<T>>(sinh(mp_t(val)) / mp_t(val));
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BOOST_CHECK_LE(std::abs(r1.real() - r2.real()), boost::math::tools::epsilon<T>());
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BOOST_CHECK_LE(std::abs(r1.imag() - r2.imag()), boost::math::tools::epsilon<T>());
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}
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}
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void sinhc_pi_manual_check()
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{
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using ::boost::math::sinhc_pi;
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BOOST_TEST_MESSAGE(" ");
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BOOST_TEST_MESSAGE("sinc_pi");
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for (int i = 0; i <= 100; i++)
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{
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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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<< sinhc_pi<float>(static_cast<float>(i-50)/
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static_cast<float>(50))
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<< ::std::setw(15)
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<< sinhc_pi<double>(static_cast<double>(i-50)/
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static_cast<double>(50))
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<< ::std::setw(15)
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<< sinhc_pi<long double>(static_cast<long double>(i-50)/
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static_cast<long double>(50)));
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#else
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BOOST_TEST_MESSAGE( ::std::setw(15)
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<< sinhc_pi<float>(static_cast<float>(i-50)/
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static_cast<float>(50))
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<< ::std::setw(15)
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<< sinhc_pi<double>(static_cast<double>(i-50)/
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static_cast<double>(50)));
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#endif
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}
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BOOST_TEST_MESSAGE(" ");
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}
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