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3rdparty/boost_1_81_0/boost/numeric/interval/arith3.hpp 2.1 KB
63e88f80   Hu Chunming   提交三方库
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  /* 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