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// unit test file acosh.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 <boost/math/special_functions/acosh.hpp>
#include <boost/test/unit_test.hpp>
template<typename T>
T acosh_error_evaluator(T x)
{
using ::std::abs;
using ::std::sinh;
using ::std::cosh;
using ::std::numeric_limits;
using ::boost::math::acosh;
static T const epsilon = numeric_limits<float>::epsilon();
T y = cosh(x);
T z = acosh(y);
T absolute_error = abs(z-abs(x));
T relative_error = absolute_error*abs(sinh(x));
T scaled_error = relative_error/epsilon;
return(scaled_error);
}
BOOST_TEST_CASE_TEMPLATE_FUNCTION(acosh_test, T)
{
BOOST_MESSAGE("Testing acosh in the real domain for "
<< string_type_name<T>::_() << ".");
for (int i = 0; i <= 100; i++)
{
T x = static_cast<T>(i-50)/static_cast<T>(5);
BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
(acosh_error_evaluator(x))
(static_cast<T>(4)));
}
}
void acosh_manual_check()
{
BOOST_MESSAGE(" ");
BOOST_MESSAGE("acosh");
for (int i = 0; i <= 100; i++)
{
float xf = static_cast<float>(i-50)/static_cast<float>(5);
double xd = static_cast<double>(i-50)/static_cast<double>(5);
long double xl =
static_cast<long double>(i-50)/static_cast<long double>(5);
BOOST_MESSAGE( ::std::setw(15)
<< acosh_error_evaluator(xf)
<< ::std::setw(15)
<< acosh_error_evaluator(xd)
<< ::std::setw(15)
<< acosh_error_evaluator(xl));
}
BOOST_MESSAGE(" ");
}
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