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// unit test file sinhc.hpp for the special functions test suite
// (C) Copyright Hubert Holin 2003.
// Distributed under 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 <functional>
#include <iomanip>
#include <iostream>
#include <complex>
#include <boost/math/special_functions/sinhc.hpp>
#include <boost/multiprecision/cpp_bin_float.hpp>
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/tools/floating_point_comparison.hpp>
BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_test, T)
{
using ::std::abs;
using ::std::numeric_limits;
using ::boost::math::sinhc_pi;
BOOST_TEST_MESSAGE("Testing sinhc_pi in the real domain for "
<< string_type_name<T>::_() << ".");
BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
(abs(sinhc_pi<T>(static_cast<T>(0))-static_cast<T>(1)))
(numeric_limits<T>::epsilon()));
using mp_t = boost::multiprecision::cpp_bin_float_50;
T val = 2;
T tolerance = boost::math::tools::epsilon<T>() * 100;
for (unsigned i = 0; i < 1000; ++i)
{
val /= 3;
if (val < boost::math::tools::min_value<T>())
break;
T r1 = sinhc_pi(val);
T r2 = static_cast<T>(sinh(mp_t(val)) / mp_t(val));
BOOST_CHECK_CLOSE_FRACTION(r1, r2, tolerance);
}
}
BOOST_TEST_CASE_TEMPLATE_FUNCTION(sinhc_pi_complex_test, T)
{
using ::std::abs;
using ::std::sin;
using ::std::numeric_limits;
using ::boost::math::sinhc_pi;
BOOST_TEST_MESSAGE("Testing sinhc_pi in the complex domain for "
<< string_type_name<T>::_() << ".");
BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
(abs(sinhc_pi<T>(::std::complex<T>(0, 1))-
::std::complex<T>(sin(static_cast<T>(1)))))
(numeric_limits<T>::epsilon()));
using mp_t = boost::multiprecision::cpp_complex_50;
std::complex<T> val(2, 2.5);
for (unsigned i = 0; i < 50; ++i)
{
val /= 3;
if (val.real() < boost::math::tools::min_value<T>())
break;
std::complex<T> r1 = sinhc_pi(val);
std::complex<T> r2 = static_cast<std::complex<T>>(sinh(mp_t(val)) / mp_t(val));
BOOST_CHECK_LE(std::abs(r1.real() - r2.real()), boost::math::tools::epsilon<T>());
BOOST_CHECK_LE(std::abs(r1.imag() - r2.imag()), boost::math::tools::epsilon<T>());
}
}
void sinhc_pi_manual_check()
{
using ::boost::math::sinhc_pi;
BOOST_TEST_MESSAGE(" ");
BOOST_TEST_MESSAGE("sinc_pi");
for (int i = 0; i <= 100; i++)
{
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
BOOST_TEST_MESSAGE( ::std::setw(15)
<< sinhc_pi<float>(static_cast<float>(i-50)/
static_cast<float>(50))
<< ::std::setw(15)
<< sinhc_pi<double>(static_cast<double>(i-50)/
static_cast<double>(50))
<< ::std::setw(15)
<< sinhc_pi<long double>(static_cast<long double>(i-50)/
static_cast<long double>(50)));
#else
BOOST_TEST_MESSAGE( ::std::setw(15)
<< sinhc_pi<float>(static_cast<float>(i-50)/
static_cast<float>(50))
<< ::std::setw(15)
<< sinhc_pi<double>(static_cast<double>(i-50)/
static_cast<double>(50)));
#endif
}
BOOST_TEST_MESSAGE(" ");
}
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