| [12] | 1 | /* Boost interval/arith3.hpp template implementation file |
|---|
| 2 | * |
|---|
| 3 | * This headers provides arithmetical functions |
|---|
| 4 | * which compute an interval given some base |
|---|
| 5 | * numbers. The resulting interval encloses the |
|---|
| 6 | * real result of the arithmetic operation. |
|---|
| 7 | * |
|---|
| 8 | * Copyright 2003 Guillaume Melquiond |
|---|
| 9 | * |
|---|
| 10 | * Distributed under the Boost Software License, Version 1.0. |
|---|
| 11 | * (See accompanying file LICENSE_1_0.txt or |
|---|
| 12 | * copy at http://www.boost.org/LICENSE_1_0.txt) |
|---|
| 13 | */ |
|---|
| 14 | |
|---|
| 15 | #ifndef BOOST_NUMERIC_INTERVAL_ARITH3_HPP |
|---|
| 16 | #define BOOST_NUMERIC_INTERVAL_ARITH3_HPP |
|---|
| 17 | |
|---|
| 18 | #include <boost/numeric/interval/detail/interval_prototype.hpp> |
|---|
| 19 | #include <boost/numeric/interval/detail/test_input.hpp> |
|---|
| 20 | |
|---|
| 21 | namespace boost { |
|---|
| 22 | namespace numeric { |
|---|
| 23 | namespace interval_lib { |
|---|
| 24 | |
|---|
| 25 | template<class I> inline |
|---|
| 26 | I add(const typename I::base_type& x, const typename I::base_type& y) |
|---|
| 27 | { |
|---|
| 28 | typedef typename I::traits_type Policies; |
|---|
| 29 | if (detail::test_input<typename I::base_type, Policies>(x, y)) |
|---|
| 30 | return I::empty(); |
|---|
| 31 | typename Policies::rounding rnd; |
|---|
| 32 | return I(rnd.add_down(x, y), rnd.add_up(x, y), true); |
|---|
| 33 | } |
|---|
| 34 | |
|---|
| 35 | template<class I> inline |
|---|
| 36 | I sub(const typename I::base_type& x, const typename I::base_type& y) |
|---|
| 37 | { |
|---|
| 38 | typedef typename I::traits_type Policies; |
|---|
| 39 | if (detail::test_input<typename I::base_type, Policies>(x, y)) |
|---|
| 40 | return I::empty(); |
|---|
| 41 | typename Policies::rounding rnd; |
|---|
| 42 | return I(rnd.sub_down(x, y), rnd.sub_up(x, y), true); |
|---|
| 43 | } |
|---|
| 44 | |
|---|
| 45 | template<class I> inline |
|---|
| 46 | I mul(const typename I::base_type& x, const typename I::base_type& y) |
|---|
| 47 | { |
|---|
| 48 | typedef typename I::traits_type Policies; |
|---|
| 49 | if (detail::test_input<typename I::base_type, Policies>(x, y)) |
|---|
| 50 | return I::empty(); |
|---|
| 51 | typename Policies::rounding rnd; |
|---|
| 52 | return I(rnd.mul_down(x, y), rnd.mul_up(x, y), true); |
|---|
| 53 | } |
|---|
| 54 | |
|---|
| 55 | template<class I> inline |
|---|
| 56 | I div(const typename I::base_type& x, const typename I::base_type& y) |
|---|
| 57 | { |
|---|
| 58 | typedef typename I::traits_type Policies; |
|---|
| 59 | if (detail::test_input<typename I::base_type, Policies>(x, y) || user::is_zero(y)) |
|---|
| 60 | return I::empty(); |
|---|
| 61 | typename Policies::rounding rnd; |
|---|
| 62 | return I(rnd.div_down(x, y), rnd.div_up(x, y), true); |
|---|
| 63 | } |
|---|
| 64 | |
|---|
| 65 | } // namespace interval_lib |
|---|
| 66 | } // namespace numeric |
|---|
| 67 | } // namespace boost |
|---|
| 68 | |
|---|
| 69 | #endif // BOOST_NUMERIC_INTERVAL_ARITH3_HPP |
|---|
