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194 lines
7.3 KiB
194 lines
7.3 KiB
/* Boost interval/detail/division.hpp file |
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* |
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* Copyright 2003 Guillaume Melquiond, Sylvain Pion |
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* |
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* Distributed under the Boost Software License, Version 1.0. |
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* (See accompanying file LICENSE_1_0.txt or |
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* copy at http://www.boost.org/LICENSE_1_0.txt) |
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*/ |
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#ifndef BOOST_NUMERIC_INTERVAL_DETAIL_DIVISION_HPP |
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#define BOOST_NUMERIC_INTERVAL_DETAIL_DIVISION_HPP |
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#include <boost/numeric/interval/detail/interval_prototype.hpp> |
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#include <boost/numeric/interval/detail/bugs.hpp> |
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#include <boost/numeric/interval/detail/test_input.hpp> |
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#include <boost/numeric/interval/rounded_arith.hpp> |
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#include <algorithm> |
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namespace boost { |
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namespace numeric { |
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namespace interval_lib { |
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namespace detail { |
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template<class T, class Policies> inline |
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interval<T, Policies> div_non_zero(const interval<T, Policies>& x, |
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const interval<T, Policies>& y) |
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{ |
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// assert(!in_zero(y)); |
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typename Policies::rounding rnd; |
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typedef interval<T, Policies> I; |
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const T& xl = x.lower(); |
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const T& xu = x.upper(); |
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const T& yl = y.lower(); |
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const T& yu = y.upper(); |
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if (::boost::numeric::interval_lib::user::is_neg(xu)) |
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if (::boost::numeric::interval_lib::user::is_neg(yu)) |
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return I(rnd.div_down(xu, yl), rnd.div_up(xl, yu), true); |
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else |
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return I(rnd.div_down(xl, yl), rnd.div_up(xu, yu), true); |
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else if (::boost::numeric::interval_lib::user::is_neg(xl)) |
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if (::boost::numeric::interval_lib::user::is_neg(yu)) |
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return I(rnd.div_down(xu, yu), rnd.div_up(xl, yu), true); |
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else |
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return I(rnd.div_down(xl, yl), rnd.div_up(xu, yl), true); |
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else |
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if (::boost::numeric::interval_lib::user::is_neg(yu)) |
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return I(rnd.div_down(xu, yu), rnd.div_up(xl, yl), true); |
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else |
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return I(rnd.div_down(xl, yu), rnd.div_up(xu, yl), true); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_non_zero(const T& x, const interval<T, Policies>& y) |
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{ |
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// assert(!in_zero(y)); |
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typename Policies::rounding rnd; |
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typedef interval<T, Policies> I; |
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const T& yl = y.lower(); |
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const T& yu = y.upper(); |
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if (::boost::numeric::interval_lib::user::is_neg(x)) |
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return I(rnd.div_down(x, yl), rnd.div_up(x, yu), true); |
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else |
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return I(rnd.div_down(x, yu), rnd.div_up(x, yl), true); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_positive(const interval<T, Policies>& x, const T& yu) |
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{ |
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// assert(::boost::numeric::interval_lib::user::is_pos(yu)); |
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if (::boost::numeric::interval_lib::user::is_zero(x.lower()) && |
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::boost::numeric::interval_lib::user::is_zero(x.upper())) |
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return x; |
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typename Policies::rounding rnd; |
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typedef interval<T, Policies> I; |
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const T& xl = x.lower(); |
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const T& xu = x.upper(); |
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typedef typename Policies::checking checking; |
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if (::boost::numeric::interval_lib::user::is_neg(xu)) |
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return I(checking::neg_inf(), rnd.div_up(xu, yu), true); |
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else if (::boost::numeric::interval_lib::user::is_neg(xl)) |
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return I(checking::neg_inf(), checking::pos_inf(), true); |
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else |
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return I(rnd.div_down(xl, yu), checking::pos_inf(), true); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_positive(const T& x, const T& yu) |
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{ |
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// assert(::boost::numeric::interval_lib::user::is_pos(yu)); |
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typedef interval<T, Policies> I; |
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if (::boost::numeric::interval_lib::user::is_zero(x)) |
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return I(static_cast<T>(0), static_cast<T>(0), true); |
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typename Policies::rounding rnd; |
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typedef typename Policies::checking checking; |
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if (::boost::numeric::interval_lib::user::is_neg(x)) |
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return I(checking::neg_inf(), rnd.div_up(x, yu), true); |
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else |
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return I(rnd.div_down(x, yu), checking::pos_inf(), true); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_negative(const interval<T, Policies>& x, const T& yl) |
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{ |
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// assert(::boost::numeric::interval_lib::user::is_neg(yl)); |
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if (::boost::numeric::interval_lib::user::is_zero(x.lower()) && |
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::boost::numeric::interval_lib::user::is_zero(x.upper())) |
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return x; |
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typename Policies::rounding rnd; |
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typedef interval<T, Policies> I; |
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const T& xl = x.lower(); |
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const T& xu = x.upper(); |
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typedef typename Policies::checking checking; |
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if (::boost::numeric::interval_lib::user::is_neg(xu)) |
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return I(rnd.div_down(xu, yl), checking::pos_inf(), true); |
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else if (::boost::numeric::interval_lib::user::is_neg(xl)) |
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return I(checking::neg_inf(), checking::pos_inf(), true); |
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else |
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return I(checking::neg_inf(), rnd.div_up(xl, yl), true); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_negative(const T& x, const T& yl) |
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{ |
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// assert(::boost::numeric::interval_lib::user::is_neg(yl)); |
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typedef interval<T, Policies> I; |
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if (::boost::numeric::interval_lib::user::is_zero(x)) |
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return I(static_cast<T>(0), static_cast<T>(0), true); |
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typename Policies::rounding rnd; |
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typedef typename Policies::checking checking; |
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if (::boost::numeric::interval_lib::user::is_neg(x)) |
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return I(rnd.div_down(x, yl), checking::pos_inf(), true); |
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else |
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return I(checking::neg_inf(), rnd.div_up(x, yl), true); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_zero(const interval<T, Policies>& x) |
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{ |
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if (::boost::numeric::interval_lib::user::is_zero(x.lower()) && |
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::boost::numeric::interval_lib::user::is_zero(x.upper())) |
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return x; |
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else return interval<T, Policies>::whole(); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_zero(const T& x) |
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{ |
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if (::boost::numeric::interval_lib::user::is_zero(x)) |
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return interval<T, Policies>(static_cast<T>(0), static_cast<T>(0), true); |
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else return interval<T, Policies>::whole(); |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_zero_part1(const interval<T, Policies>& x, |
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const interval<T, Policies>& y, bool& b) |
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{ |
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// assert(::boost::numeric::interval_lib::user::is_neg(y.lower()) && ::boost::numeric::interval_lib::user::is_pos(y.upper())); |
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if (::boost::numeric::interval_lib::user::is_zero(x.lower()) && ::boost::numeric::interval_lib::user::is_zero(x.upper())) |
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{ b = false; return x; } |
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typename Policies::rounding rnd; |
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typedef interval<T, Policies> I; |
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const T& xl = x.lower(); |
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const T& xu = x.upper(); |
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const T& yl = y.lower(); |
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const T& yu = y.upper(); |
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typedef typename Policies::checking checking; |
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if (::boost::numeric::interval_lib::user::is_neg(xu)) |
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{ b = true; return I(checking::neg_inf(), rnd.div_up(xu, yu), true); } |
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else if (::boost::numeric::interval_lib::user::is_neg(xl)) |
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{ b = false; return I(checking::neg_inf(), checking::pos_inf(), true); } |
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else |
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{ b = true; return I(checking::neg_inf(), rnd.div_up(xl, yl), true); } |
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} |
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template<class T, class Policies> inline |
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interval<T, Policies> div_zero_part2(const interval<T, Policies>& x, |
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const interval<T, Policies>& y) |
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{ |
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// assert(::boost::numeric::interval_lib::user::is_neg(y.lower()) && ::boost::numeric::interval_lib::user::is_pos(y.upper()) && (div_zero_part1(x, y, b), b)); |
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typename Policies::rounding rnd; |
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typedef interval<T, Policies> I; |
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typedef typename Policies::checking checking; |
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if (::boost::numeric::interval_lib::user::is_neg(x.upper())) |
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return I(rnd.div_down(x.upper(), y.lower()), checking::pos_inf(), true); |
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else |
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return I(rnd.div_down(x.lower(), y.upper()), checking::pos_inf(), true); |
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} |
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} // namespace detail |
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} // namespace interval_lib |
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} // namespace numeric |
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} // namespace boost |
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#endif // BOOST_NUMERIC_INTERVAL_DETAIL_DIVISION_HPP
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