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- // unit test file asinh.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>
- #define BOOST_TEST_MAiN
- #include <boost/math/special_functions/asinh.hpp>
- #include <boost/test/unit_test.hpp>
- template<typename T>
- T asinh_error_evaluator(T x)
- {
- using ::std::abs;
- using ::std::sinh;
- using ::std::cosh;
-
- using ::std::numeric_limits;
-
- using ::boost::math::asinh;
-
-
- static T const epsilon = numeric_limits<float>::epsilon();
-
- T y = sinh(x);
- T z = asinh(y);
-
- T absolute_error = abs(z-x);
- T relative_error = absolute_error*cosh(x);
- T scaled_error = relative_error/epsilon;
-
- return(scaled_error);
- }
- BOOST_TEST_CASE_TEMPLATE_FUNCTION(asinh_test, T)
- {
- BOOST_TEST_MESSAGE("Testing asinh in the real domain for "
- << string_type_name<T>::_() << ".");
-
- for (int i = 0; i <= 80; i++)
- {
- T x = static_cast<T>(i-40)/static_cast<T>(4);
-
- BOOST_CHECK_PREDICATE(::std::less_equal<T>(),
- (asinh_error_evaluator(x))
- (static_cast<T>(4)));
- }
- //
- // Special cases:
- //
- if(std::numeric_limits<T>::has_infinity)
- {
- T inf = std::numeric_limits<T>::infinity();
- boost::math::policies::policy<boost::math::policies::overflow_error<boost::math::policies::ignore_error> > pol;
- BOOST_CHECK_EQUAL(boost::math::asinh(inf, pol), inf);
- BOOST_CHECK_EQUAL(boost::math::asinh(-inf, pol), -inf);
- }
- }
- void asinh_manual_check()
- {
- BOOST_TEST_MESSAGE(" ");
- BOOST_TEST_MESSAGE("asinh");
-
- for (int i = 0; i <= 80; i++)
- {
- float xf = static_cast<float>(i-40)/static_cast<float>(4);
- double xd = static_cast<double>(i-40)/static_cast<double>(4);
- long double xl =
- static_cast<long double>(i-40)/static_cast<long double>(4);
-
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_TEST_MESSAGE( ::std::setw(15)
- << asinh_error_evaluator(xf)
- << ::std::setw(15)
- << asinh_error_evaluator(xd)
- << ::std::setw(15)
- << asinh_error_evaluator(xl));
- #else
- BOOST_TEST_MESSAGE( ::std::setw(15)
- << asinh_error_evaluator(xf)
- << ::std::setw(15)
- << asinh_error_evaluator(xd));
- #endif
- }
-
- BOOST_TEST_MESSAGE(" ");
- }
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