Ejemplo n.º 1
0
template<class T, class Policies> inline
interval<T, Policies> cos(const interval<T, Policies>& x)
{
  if (interval_lib::detail::test_input(x))
    return interval<T, Policies>::empty();
  typename Policies::rounding rnd;
  typedef interval<T, Policies> I;
  typedef typename interval_lib::unprotect<I>::type R;

  // get lower bound within [0, pi]
  const R pi2 = interval_lib::pi_twice<R>();
  R tmp = fmod((const R&)x, pi2);
  if (width(tmp) >= pi2.lower())
    return I(static_cast<T>(-1), static_cast<T>(1), true); // we are covering a full period
  if (tmp.lower() >= interval_lib::constants::pi_upper<T>())
    return -cos(tmp - interval_lib::pi<R>());
  T l = tmp.lower();
  T u = tmp.upper();

  BOOST_USING_STD_MIN();
  // separate into monotone subintervals
  if (u <= interval_lib::constants::pi_lower<T>())
    return I(rnd.cos_down(u), rnd.cos_up(l), true);
  else if (u <= pi2.lower())
    return I(static_cast<T>(-1), rnd.cos_up(min BOOST_PREVENT_MACRO_SUBSTITUTION(rnd.sub_down(pi2.lower(), u), l)), true);
  else
    return I(static_cast<T>(-1), static_cast<T>(1), true);
}
Ejemplo n.º 2
0
template<class T, class Policies> inline
interval<T, Policies> widen(const interval<T, Policies>& x, const T& v)
{
  if (interval_lib::detail::test_input(x))
    return interval<T, Policies>::empty();
  typename Policies::rounding rnd;
  return interval<T, Policies>(rnd.sub_down(x.lower(), v),
                               rnd.add_up  (x.upper(), v), true);
}
Ejemplo n.º 3
0
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);
}
Ejemplo n.º 4
0
template<class T, class Policies> inline
interval<T, Policies> operator-(const T& x, const interval<T, Policies>& y)
{
  if (interval_lib::detail::test_input(x, y))
    return interval<T, Policies>::empty();
  typename Policies::rounding rnd;
  return interval<T,Policies>(rnd.sub_down(x, y.upper()),
                              rnd.sub_up  (x, y.lower()), true);
}
Ejemplo n.º 5
0
template<class T, class Policies> inline
interval<T, Policies>& interval<T, Policies>::operator-=(const T& r)
{
  if (interval_lib::detail::test_input(*this, r))
    set_empty();
  else {
    typename Policies::rounding rnd;
    set(rnd.sub_down(low, r), rnd.sub_up(up, r));
  }
  return *this;
}