/*-----------------------------------------------------------------------------+ | |
Copyright (c) 2010-2010: Joachim Faulhaber | |
+------------------------------------------------------------------------------+ | |
Distributed under the Boost Software License, Version 1.0. | |
(See accompanying file LICENCE.txt or copy at | |
http://www.boost.org/LICENSE_1_0.txt) | |
+-----------------------------------------------------------------------------*/ | |
#ifndef BOOST_ICL_CONCEPT_INTERVAL_BOUNDS_HPP_JOFA_100927 | |
#define BOOST_ICL_CONCEPT_INTERVAL_BOUNDS_HPP_JOFA_100927 | |
#include <boost/icl/interval_bounds.hpp> | |
#include <boost/icl/type_traits/is_discrete.hpp> | |
#include <boost/icl/type_traits/is_numeric.hpp> | |
namespace boost{namespace icl | |
{ | |
inline interval_bounds left(interval_bounds x1) | |
{ return interval_bounds(x1._bits & interval_bounds::_left); } | |
inline interval_bounds right(interval_bounds x1) | |
{ return interval_bounds(x1._bits & interval_bounds::_right); } | |
inline interval_bounds all(interval_bounds x1) | |
{ return interval_bounds(x1._bits & interval_bounds::_all); } | |
inline bool operator == (const interval_bounds x1, const interval_bounds x2) | |
{ return x1._bits == x2._bits; } | |
inline bool operator != (const interval_bounds x1, const interval_bounds x2) | |
{ return x1._bits != x2._bits; } | |
inline interval_bounds operator & (interval_bounds x1, interval_bounds x2) | |
{ return interval_bounds(x1._bits & x2._bits); } | |
inline interval_bounds operator | (interval_bounds x1, interval_bounds x2) | |
{ return interval_bounds(x1._bits | x2._bits); } | |
// left shift (multiplies by 2^shift) | |
inline interval_bounds operator << (interval_bounds bounds, unsigned int shift) | |
{ return interval_bounds(bounds._bits << shift); } | |
// right shift (divides by 2^shift) | |
inline interval_bounds operator >> (interval_bounds bounds, unsigned int shift) | |
{ return interval_bounds(bounds._bits >> shift); } | |
inline interval_bounds operator ~ (interval_bounds x1) | |
{ return all(interval_bounds(~(x1._bits))); } | |
inline interval_bounds outer_bounds(interval_bounds x1, interval_bounds x2) | |
{ return left(x1) | right(x2); } | |
inline interval_bounds inner_bounds(interval_bounds x1, interval_bounds x2) | |
{ return interval_bounds(x1.reverse_right() | x2.reverse_left()); } | |
inline interval_bounds left_bounds(interval_bounds x1, interval_bounds x2) | |
{ return left(x1) | (left(x2) >> 1); } | |
inline interval_bounds right_bounds(interval_bounds x1, interval_bounds x2) | |
{ return (right(x1) <<1 ) | right(x2); } | |
inline interval_bounds left_subtract_bounds(interval_bounds x1, interval_bounds x2) | |
{ return right(x1) | ~(right(x2) << 1); } | |
inline interval_bounds right_subtract_bounds(interval_bounds x1, interval_bounds x2) | |
{ return left(x1) | ~(left(x2) >> 1); } | |
inline bool is_complementary(interval_bounds x1) | |
{ return x1 == interval_bounds::right_open() || x1 == interval_bounds::left_open(); } | |
inline bool is_left_closed(interval_bounds bounds) | |
{ return bounds.left().bits()==2; } | |
inline bool is_right_closed(interval_bounds bounds) | |
{ return bounds.right().bits()==1; } | |
inline std::string left_bracket(interval_bounds bounds) | |
{ return is_left_closed(bounds) ? "[" : "("; } | |
inline std::string right_bracket(interval_bounds bounds) | |
{ return is_right_closed(bounds) ? "]" : ")"; } | |
template <class Type> | |
inline typename enable_if<is_discrete<Type>, Type>::type | |
shift_lower(interval_bounds decl, interval_bounds repr, const Type& low) | |
{ | |
if(is_left_closed(decl) && !is_left_closed(repr)) | |
{ | |
BOOST_ASSERT((numeric_minimum<Type, is_numeric<Type>::value >::is_less_than(low) )); | |
return icl::pred(low); | |
} | |
else if(!is_left_closed(decl) && is_left_closed(repr)) | |
return icl::succ(low); | |
else | |
return low; | |
} | |
template <class Type> | |
inline typename enable_if<is_discrete<Type>, Type>::type | |
shift_upper(interval_bounds decl, interval_bounds repr, const Type& up) | |
{ | |
if(!is_right_closed(decl) && is_right_closed(repr)) | |
{ | |
BOOST_ASSERT((numeric_minimum<Type, is_numeric<Type>::value >::is_less_than(up) )); | |
return icl::pred(up); | |
} | |
else if(is_right_closed(decl) && !is_right_closed(repr)) | |
return icl::succ(up); | |
else | |
return up; | |
} | |
template<class CharType, class CharTraits> | |
std::basic_ostream<CharType, CharTraits>& operator << | |
(std::basic_ostream<CharType, CharTraits> &stream, | |
interval_bounds const& object) | |
{ | |
return stream << left_bracket(object) << right_bracket(object); | |
} | |
template<class IntervalT> | |
inline typename | |
boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type | |
outer_bounds(const IntervalT& x1, const IntervalT& x2) | |
{ return outer_bounds(x1.bounds(), x2.bounds()); } | |
template<class IntervalT> | |
inline typename | |
boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type | |
inner_bounds(const IntervalT& x1, const IntervalT& x2) | |
{ return inner_bounds(x1.bounds(), x2.bounds()); } | |
template<class IntervalT> | |
inline typename | |
boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type | |
left_bounds(const IntervalT& x1, const IntervalT& x2) | |
{ return left_bounds(x1.bounds(), x2.bounds()); } | |
template<class IntervalT> | |
inline typename | |
boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type | |
right_bounds(const IntervalT& x1, const IntervalT& x2) | |
{ return right_bounds(x1.bounds(), x2.bounds()); } | |
template<class IntervalT> | |
inline typename | |
boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type | |
left_subtract_bounds(const IntervalT& x1, const IntervalT& x2) | |
{ return left_subtract_bounds(x1.bounds(), x2.bounds()); } | |
template<class IntervalT> | |
inline typename | |
boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type | |
right_subtract_bounds(const IntervalT& x1, const IntervalT& x2) | |
{ return right_subtract_bounds(x1.bounds(), x2.bounds()); } | |
}} // namespace icl boost | |
#endif | |