/* Boost interval/arith3.hpp template implementation file * * This headers provides arithmetical functions * which compute an interval given some base * numbers. The resulting interval encloses the * real result of the arithmetic operation. * * Copyright 2003 Guillaume Melquiond * * 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) */ #ifndef BOOST_NUMERIC_INTERVAL_ARITH3_HPP #define BOOST_NUMERIC_INTERVAL_ARITH3_HPP #include <boost/numeric/interval/detail/interval_prototype.hpp> #include <boost/numeric/interval/detail/test_input.hpp> namespace boost { namespace numeric { namespace interval_lib { template<class I> inline I add(const typename I::base_type& x, const typename I::base_type& y) { typedef typename I::traits_type Policies; if (detail::test_input<typename I::base_type, Policies>(x, y)) return I::empty(); typename Policies::rounding rnd; return I(rnd.add_down(x, y), rnd.add_up(x, y), true); } template<class I> inline I sub(const typename I::base_type& x, const typename I::base_type& y) { typedef typename I::traits_type Policies; if (detail::test_input<typename I::base_type, Policies>(x, y)) return I::empty(); typename Policies::rounding rnd; return I(rnd.sub_down(x, y), rnd.sub_up(x, y), true); } template<class I> inline I mul(const typename I::base_type& x, const typename I::base_type& y) { typedef typename I::traits_type Policies; if (detail::test_input<typename I::base_type, Policies>(x, y)) return I::empty(); typename Policies::rounding rnd; return I(rnd.mul_down(x, y), rnd.mul_up(x, y), true); } template<class I> inline I div(const typename I::base_type& x, const typename I::base_type& y) { typedef typename I::traits_type Policies; if (detail::test_input<typename I::base_type, Policies>(x, y) || user::is_zero(y)) return I::empty(); typename Policies::rounding rnd; return I(rnd.div_down(x, y), rnd.div_up(x, y), true); } } // namespace interval_lib } // namespace numeric } // namespace boost #endif // BOOST_NUMERIC_INTERVAL_ARITH3_HPP