C++ (Cpp) rounding::mul_up示例

示例#1

template<class T, class Policies> inline
interval<T, Policies> operator*(const interval<T, Policies>& x,
                                const interval<T, Policies>& y)
{
  BOOST_USING_STD_MIN();
  BOOST_USING_STD_MAX();
  typedef interval<T, Policies> I;
  if (interval_lib::detail::test_input(x, y))
    return I::empty();
  typename Policies::rounding rnd;
  const T& xl = x.lower();
  const T& xu = x.upper();
  const T& yl = y.lower();
  const T& yu = y.upper();

  if (interval_lib::user::is_neg(xl))
    if (interval_lib::user::is_pos(xu))
      if (interval_lib::user::is_neg(yl))
        if (interval_lib::user::is_pos(yu)) // M * M
          return I(min BOOST_PREVENT_MACRO_SUBSTITUTION(rnd.mul_down(xl, yu), rnd.mul_down(xu, yl)),
                   max BOOST_PREVENT_MACRO_SUBSTITUTION(rnd.mul_up  (xl, yl), rnd.mul_up  (xu, yu)), true);
        else                    // M * N
          return I(rnd.mul_down(xu, yl), rnd.mul_up(xl, yl), true);
      else
        if (interval_lib::user::is_pos(yu)) // M * P
          return I(rnd.mul_down(xl, yu), rnd.mul_up(xu, yu), true);
        else                    // M * Z
          return I(static_cast<T>(0), static_cast<T>(0), true);
    else
      if (interval_lib::user::is_neg(yl))
        if (interval_lib::user::is_pos(yu)) // N * M
          return I(rnd.mul_down(xl, yu), rnd.mul_up(xl, yl), true);
        else                    // N * N
          return I(rnd.mul_down(xu, yu), rnd.mul_up(xl, yl), true);
      else
        if (interval_lib::user::is_pos(yu)) // N * P
          return I(rnd.mul_down(xl, yu), rnd.mul_up(xu, yl), true);
        else                    // N * Z
          return I(static_cast<T>(0), static_cast<T>(0), true);
  else
    if (interval_lib::user::is_pos(xu))
      if (interval_lib::user::is_neg(yl))
        if (interval_lib::user::is_pos(yu)) // P * M
          return I(rnd.mul_down(xu, yl), rnd.mul_up(xu, yu), true);
        else                    // P * N
          return I(rnd.mul_down(xu, yl), rnd.mul_up(xl, yu), true);
      else
        if (interval_lib::user::is_pos(yu)) // P * P
          return I(rnd.mul_down(xl, yl), rnd.mul_up(xu, yu), true);
        else                    // P * Z
          return I(static_cast<T>(0), static_cast<T>(0), true);
    else                        // Z * ?
      return I(static_cast<T>(0), static_cast<T>(0), true);
}

示例#2

文件： arith.hpp 项目： NeoAnomaly/xray

template<class T, class Policies> inline
interval<T, Policies> operator*(const interval<T, Policies>& x,
                                const interval<T, Policies>& y)
{
  BOOST_NUMERIC_INTERVAL_using_max(min);
  BOOST_NUMERIC_INTERVAL_using_max(max);
  typedef interval<T, Policies> I;
  if (interval_lib::detail::test_input(x, y))
    return I::empty();
  typename Policies::rounding rnd;
  const T& xl = x.lower();
  const T& xu = x.upper();
  const T& yl = y.lower();
  const T& yu = y.upper();

  if (interval_lib::detail::is_neg(xl))
    if (interval_lib::detail::is_pos(xu))
      if (interval_lib::detail::is_neg(yl))
        if (interval_lib::detail::is_pos(yu)) // M * M
          return I(min(rnd.mul_down(xl, yu), rnd.mul_down(xu, yl)),
                   max(rnd.mul_up  (xl, yl), rnd.mul_up  (xu, yu)), true);
        else                    // M * N
          return I(rnd.mul_down(xu, yl), rnd.mul_up(xl, yl), true);
      else
        if (interval_lib::detail::is_pos(yu)) // M * P
          return I(rnd.mul_down(xl, yu), rnd.mul_up(xu, yu), true);
        else                    // M * Z
          return I(0, 0, true);
    else
      if (interval_lib::detail::is_neg(yl))
        if (interval_lib::detail::is_pos(yu)) // N * M
          return I(rnd.mul_down(xl, yu), rnd.mul_up(xl, yl), true);
        else                    // N * N
          return I(rnd.mul_down(xu, yu), rnd.mul_up(xl, yl), true);
      else
        if (interval_lib::detail::is_pos(yu)) // N * P
          return I(rnd.mul_down(xl, yu), rnd.mul_up(xu, yl), true);
        else                    // N * Z
          return I(0, 0, true);
  else
    if (interval_lib::detail::is_pos(xu))
      if (interval_lib::detail::is_neg(yl))
        if (interval_lib::detail::is_pos(yu)) // P * M
          return I(rnd.mul_down(xu, yl), rnd.mul_up(xu, yu), true);
        else                    // P * N
          return I(rnd.mul_down(xu, yl), rnd.mul_up(xl, yu), true);
      else
        if (interval_lib::detail::is_pos(yu)) // P * P
          return I(rnd.mul_down(xl, yl), rnd.mul_up(xu, yu), true);
        else                    // P * Z
          return I(0, 0, true);
    else                        // Z * ?
      return I(0, 0, true);
}

示例#3

template<class T, class Policies> inline
interval<T, Policies> operator*(const T& x, const interval<T, Policies>& y)
{ 
  typedef interval<T, Policies> I;
  if (interval_lib::detail::test_input(x, y))
    return I::empty();
  typename Policies::rounding rnd;
  const T& yl = y.lower();
  const T& yu = y.upper();
  // x is supposed not to be infinite
  if (interval_lib::user::is_neg(x))
    return I(rnd.mul_down(x, yu), rnd.mul_up(x, yl), true);
  else if (interval_lib::user::is_zero(x))
    return I(static_cast<T>(0), static_cast<T>(0), true);
  else
    return I(rnd.mul_down(x, yl), rnd.mul_up(x, yu), true);
}

示例#4

文件： arith3.hpp 项目： ngzHappy/cpc2

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);
}