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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