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