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678 lines
25 KiB
C++
678 lines
25 KiB
C++
/*-----------------------------------------------------------------------------+
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Copyright (c) 2010-2010: Joachim Faulhaber
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+------------------------------------------------------------------------------+
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENCE.txt or copy at
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http://www.boost.org/LICENSE_1_0.txt)
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+-----------------------------------------------------------------------------*/
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#ifndef BOOST_ICL_CONCEPT_INTERVAL_MAP_HPP_JOFA_100920
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#define BOOST_ICL_CONCEPT_INTERVAL_MAP_HPP_JOFA_100920
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#include <boost/icl/type_traits/element_type_of.hpp>
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#include <boost/icl/type_traits/segment_type_of.hpp>
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#include <boost/icl/type_traits/absorbs_identities.hpp>
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#include <boost/icl/type_traits/is_combinable.hpp>
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#include <boost/icl/type_traits/is_interval_splitter.hpp>
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#include <boost/icl/detail/set_algo.hpp>
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#include <boost/icl/detail/interval_map_algo.hpp>
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#include <boost/icl/concept/interval.hpp>
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#include <boost/icl/concept/joinable.hpp>
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namespace boost{ namespace icl
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{
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template<class Type>
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inline typename enable_if<is_interval_map<Type>, typename Type::segment_type>::type
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make_segment(const typename Type::element_type& element)
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{
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typedef typename Type::interval_type interval_type;
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typedef typename Type::segment_type segment_type;
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return segment_type(icl::singleton<interval_type>(element.key), element.data);
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}
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//==============================================================================
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//= Containedness<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- bool contains(c T&, c P&) T:{M} P:{b p M} fragment_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, bool>::type
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contains(const Type& super, const typename Type::element_type& key_value_pair)
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{
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typedef typename Type::const_iterator const_iterator;
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const_iterator it_ = icl::find(super, key_value_pair.key);
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return it_ != super.end() && (*it_).second == key_value_pair.data;
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, bool>::type
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contains(const Type& super, const typename Type::segment_type& sub_segment)
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{
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typedef typename Type::interval_type interval_type;
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typedef typename Type::const_iterator const_iterator;
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interval_type sub_interval = sub_segment.first;
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if(icl::is_empty(sub_interval))
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return true;
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std::pair<const_iterator, const_iterator> exterior = super.equal_range(sub_interval);
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if(exterior.first == exterior.second)
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return false;
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const_iterator last_overlap = prior(exterior.second);
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if(!(sub_segment.second == exterior.first->second) )
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return false;
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return
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icl::contains(hull(exterior.first->first, last_overlap->first), sub_interval)
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&& Interval_Map::is_joinable(super, exterior.first, last_overlap);
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}
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template<class Type, class CoType>
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typename enable_if<is_concept_compatible<is_interval_map, Type, CoType>, bool>::type
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contains(const Type& super, const CoType& sub)
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{
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return Interval_Set::within(sub, super);
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}
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//------------------------------------------------------------------------------
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//- bool contains(c T&, c P&) T:{M} P:{e i S} key_types : total
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//------------------------------------------------------------------------------
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template<class Type, class CoType>
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typename enable_if< mpl::and_< is_interval_map<Type>
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, is_total<Type>
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, is_cross_derivative<Type, CoType> >
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, bool>::type
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contains(const Type&, const CoType&)
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{
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return true;
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}
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//------------------------------------------------------------------------------
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//- bool contains(c T&, c P&) T:{M} P:{e i S} key_types : partial
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if< mpl::and_< is_interval_map<Type>
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, mpl::not_<is_total<Type> > >
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, bool>::type
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contains(const Type& super, const typename Type::domain_type& key)
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{
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return icl::find(super, key) != super.end();
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}
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template<class Type>
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typename enable_if< mpl::and_< is_interval_map<Type>
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, mpl::not_<is_total<Type> > >
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, bool>::type
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contains(const Type& super, const typename Type::interval_type& sub_interval)
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{
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typedef typename Type::const_iterator const_iterator;
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if(icl::is_empty(sub_interval))
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return true;
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std::pair<const_iterator, const_iterator> exterior = super.equal_range(sub_interval);
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if(exterior.first == exterior.second)
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return false;
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const_iterator last_overlap = prior(exterior.second);
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return
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icl::contains(hull(exterior.first->first, last_overlap->first), sub_interval)
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&& Interval_Set::is_joinable(super, exterior.first, last_overlap);
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}
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template<class Type, class KeyT>
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typename enable_if< mpl::and_< is_concept_combinable<is_interval_map, is_interval_set, Type, KeyT>
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, mpl::not_<is_total<Type> > >
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, bool>::type
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contains(const Type& super, const KeyT& sub)
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{
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return Interval_Set::within(sub, super);
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}
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//==============================================================================
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//= Addition<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& add(T&, c P&) T:{M} P:{b p} fragment_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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add(Type& object, const typename Type::segment_type& operand)
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{
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return object.add(operand);
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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add(Type& object, const typename Type::element_type& operand)
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{
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return icl::add(object, make_segment<Type>(operand));
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}
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//------------------------------------------------------------------------------
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//- T& add(T&, J, c P&) T:{M} P:{p} segment_type
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, typename Type::iterator >::type
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add(Type& object, typename Type::iterator prior_,
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const typename Type::segment_type& operand)
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{
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return object.add(prior_, operand);
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}
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//==============================================================================
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//= Insertion<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& insert(T&, c P&) T:{M} P:{b p} fragment_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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insert(Type& object, const typename Type::segment_type& operand)
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{
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return object.insert(operand);
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}
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template<class Type>
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inline typename enable_if<is_interval_map<Type>, Type>::type&
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insert(Type& object, const typename Type::element_type& operand)
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{
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return icl::insert(object, make_segment<Type>(operand));
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}
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//------------------------------------------------------------------------------
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//- T& insert(T&, J, c P&) T:{M} P:{p} with hint
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, typename Type::iterator>::type
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insert(Type& object, typename Type::iterator prior,
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const typename Type::segment_type& operand)
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{
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return object.insert(prior, operand);
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}
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//==============================================================================
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//= Erasure<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& erase(T&, c P&) T:{M} P:{e i} key_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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erase(Type& object, const typename Type::interval_type& operand)
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{
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return object.erase(operand);
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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erase(Type& object, const typename Type::domain_type& operand)
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{
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typedef typename Type::interval_type interval_type;
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return icl::erase(object, icl::singleton<interval_type>(operand));
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}
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//------------------------------------------------------------------------------
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//- T& erase(T&, c P&) T:{M} P:{b p} fragment_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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erase(Type& object, const typename Type::segment_type& operand)
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{
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return object.erase(operand);
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}
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template<class Type>
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inline typename enable_if<is_interval_map<Type>, Type>::type&
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erase(Type& object, const typename Type::element_type& operand)
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{
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return icl::erase(object, make_segment<Type>(operand));
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}
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//==============================================================================
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//= Subtraction<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& subtract(T&, c P&) T:{M} P:{b p} fragment_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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subtract(Type& object, const typename Type::segment_type& operand)
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{
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return object.subtract(operand);
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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subtract(Type& object, const typename Type::element_type& operand)
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{
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return icl::subtract(object, make_segment<Type>(operand));
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}
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//------------------------------------------------------------------------------
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//- T& subtract(T&, c P&) T:{M} P:{e i} key_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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subtract(Type& object, const typename Type::domain_type& operand)
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{
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return object.erase(operand);
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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subtract(Type& object, const typename Type::interval_type& operand)
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{
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return object.erase(operand);
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}
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//==============================================================================
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//= Selective Update<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& set_at(T&, c P&) T:{M} P:{e i}
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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set_at(Type& object, const typename Type::segment_type& operand)
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{
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icl::erase(object, operand.first);
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return icl::insert(object, operand);
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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set_at(Type& object, const typename Type::element_type& operand)
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{
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return icl::set_at(object, make_segment<Type>(operand));
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}
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//==============================================================================
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//= Intersection<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& subtract(T&, c P&) T:{M} P:{b p} fragment_type
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, void>::type
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add_intersection(Type& section, const Type& object,
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const typename Type::element_type& operand)
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{
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//CL typedef typename Type::segment_type segment_type;
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object.add_intersection(section, make_segment<Type>(operand));
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, void>::type
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add_intersection(Type& section, const Type& object,
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const typename Type::segment_type& operand)
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{
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object.add_intersection(section, operand);
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}
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//------------------------------------------------------------------------------
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//- T& subtract(T&, c P&) T:{M} P:{M'} map fragment_type total
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//------------------------------------------------------------------------------
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template<class Type, class MapT>
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typename enable_if
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<
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mpl::and_< is_total<Type>
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, is_concept_compatible<is_interval_map, Type, MapT> >
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, void
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>::type
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add_intersection(Type& section, const Type& object, const MapT& operand)
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{
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section += object;
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section += operand;
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}
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//------------------------------------------------------------------------------
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//- T& subtract(T&, c P&) T:{M} P:{M'} map fragment_type partial
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//------------------------------------------------------------------------------
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template<class Type, class MapT>
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typename enable_if
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<
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mpl::and_< mpl::not_<is_total<Type> >
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, is_concept_compatible<is_interval_map, Type, MapT> >
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, void
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>::type
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add_intersection(Type& section, const Type& object, const MapT& operand)
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{
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//CL typedef typename Type::segment_type segment_type;
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//CL typedef typename Type::interval_type interval_type;
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typedef typename MapT::const_iterator const_iterator;
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if(operand.empty())
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return;
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const_iterator common_lwb, common_upb;
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if(!Set::common_range(common_lwb, common_upb, operand, object))
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return;
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const_iterator it_ = common_lwb;
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while(it_ != common_upb)
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add_intersection(section, object, *it_++);
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}
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//------------------------------------------------------------------------------
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//- T& subtract(T&, c P&) T:{M} P:{e i S} key_type
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, void>::type
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add_intersection(Type& section, const Type& object,
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const typename Type::domain_type& key_value)
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{
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typedef typename Type::interval_type interval_type;
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typedef typename Type::segment_type segment_type;
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typedef typename Type::const_iterator const_iterator;
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const_iterator it_ = icl::find(object, key_value);
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if(it_ != object.end())
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add(section, segment_type(interval_type(key_value),(*it_).second));
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}
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template<class Type>
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typename enable_if<is_interval_map<Type>, void>::type
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add_intersection(Type& section, const Type& object,
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const typename Type::interval_type& inter_val)
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{
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typedef typename Type::interval_type interval_type;
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typedef typename Type::value_type value_type;
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typedef typename Type::const_iterator const_iterator;
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typedef typename Type::iterator iterator;
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if(icl::is_empty(inter_val))
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return;
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std::pair<const_iterator, const_iterator> exterior
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= object.equal_range(inter_val);
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if(exterior.first == exterior.second)
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return;
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iterator prior_ = section.end();
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for(const_iterator it_=exterior.first; it_ != exterior.second; it_++)
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{
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interval_type common_interval = (*it_).first & inter_val;
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if(!icl::is_empty(common_interval))
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prior_ = add(section, prior_,
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value_type(common_interval, (*it_).second) );
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}
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}
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template<class Type, class KeySetT>
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typename enable_if<is_concept_combinable<is_interval_map, is_interval_set, Type, KeySetT>, void>::type
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add_intersection(Type& section, const Type& object, const KeySetT& key_set)
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{
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typedef typename KeySetT::const_iterator const_iterator;
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if(icl::is_empty(key_set))
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return;
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const_iterator common_lwb, common_upb;
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if(!Set::common_range(common_lwb, common_upb, key_set, object))
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return;
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const_iterator it_ = common_lwb;
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while(it_ != common_upb)
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add_intersection(section, object, *it_++);
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}
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//------------------------------------------------------------------------------
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//- intersects<IntervalMaps> fragment_types
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//------------------------------------------------------------------------------
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template<class Type, class OperandT>
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typename enable_if<mpl::and_< is_interval_map<Type>
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, is_total<Type>
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, boost::is_same< OperandT
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, typename segment_type_of<Type>::type> >,
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bool>::type
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intersects(const Type&, const OperandT&)
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{
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return true;
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}
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template<class Type, class OperandT>
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typename enable_if<mpl::and_< is_interval_map<Type>
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, mpl::not_<is_total<Type> >
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, boost::is_same<OperandT, typename segment_type_of<Type>::type> >,
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bool>::type
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intersects(const Type& object, const OperandT& operand)
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{
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Type intersection;
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icl::add_intersection(intersection, object, operand);
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return !icl::is_empty(intersection);
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}
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template<class Type, class OperandT>
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typename enable_if<mpl::and_< is_interval_map<Type>
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, boost::is_same<OperandT, typename element_type_of<Type>::type> >,
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bool>::type
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intersects(const Type& object, const OperandT& operand)
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{
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return icl::intersects(object, make_segment<Type>(operand));
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}
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//==============================================================================
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//= Symmetric difference<IntervalMap>
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//==============================================================================
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//------------------------------------------------------------------------------
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//- T& flip(T&, c P&) T:{M} P:{b p} fragment_types
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//------------------------------------------------------------------------------
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template<class Type>
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typename enable_if<is_interval_map<Type>, Type>::type&
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flip(Type& object, const typename Type::segment_type& operand)
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{
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return object.flip(operand);
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}
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template<class Type>
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inline typename enable_if<is_interval_map<Type>, Type>::type&
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flip(Type& object, const typename Type::element_type& operand)
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{
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return icl::flip(object, make_segment<Type>(operand));
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}
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//------------------------------------------------------------------------------
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//- T& flip(T&, c P&) T:{M} P:{M'} total absorber
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//------------------------------------------------------------------------------
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template<class Type, class OperandT>
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typename enable_if< mpl::and_< is_total<Type>
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, absorbs_identities<Type>
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, is_concept_compatible<is_interval_map,
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Type, OperandT >
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>
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, Type>::type&
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flip(Type& object, const OperandT&)
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{
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object.clear();
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return object;
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}
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//------------------------------------------------------------------------------
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//- T& flip(T&, c P&) T:{M} P:{M'} total enricher
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//------------------------------------------------------------------------------
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#ifdef BOOST_MSVC
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#pragma warning(push)
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#pragma warning(disable:4127) // conditional expression is constant
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#endif
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template<class Type, class OperandT>
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typename enable_if< mpl::and_< is_total<Type>
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, mpl::not_<absorbs_identities<Type> >
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, is_concept_compatible<is_interval_map,
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Type, OperandT >
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>
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, Type>::type&
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flip(Type& object, const OperandT& operand)
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{
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typedef typename Type::codomain_type codomain_type;
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object += operand;
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ICL_FORALL(typename Type, it_, object)
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(*it_).second = identity_element<codomain_type>::value();
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if(mpl::not_<is_interval_splitter<Type> >::value)
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icl::join(object);
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return object;
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}
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#ifdef BOOST_MSVC
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#pragma warning(pop)
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#endif
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//------------------------------------------------------------------------------
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//- T& flip(T&, c P&) T:{M} P:{M'} partial
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//------------------------------------------------------------------------------
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template<class Type, class OperandT>
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|
typename enable_if< mpl::and_< mpl::not_<is_total<Type> >
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|
, is_concept_compatible<is_interval_map,
|
|
Type, OperandT >
|
|
>
|
|
, Type>::type&
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|
flip(Type& object, const OperandT& operand)
|
|
{
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|
typedef typename OperandT::const_iterator const_iterator;
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|
//CL typedef typename Type::codomain_type codomain_type;
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|
|
|
const_iterator common_lwb, common_upb;
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|
|
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if(!Set::common_range(common_lwb, common_upb, operand, object))
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return object += operand;
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const_iterator it_ = operand.begin();
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// All elements of operand left of the common range are added
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|
while(it_ != common_lwb)
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icl::add(object, *it_++);
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// All elements of operand in the common range are symmetrically subtracted
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|
while(it_ != common_upb)
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|
icl::flip(object, *it_++);
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|
// All elements of operand right of the common range are added
|
|
while(it_ != operand.end())
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|
icl::add(object, *it_++);
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|
|
|
return object;
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|
}
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|
|
|
//==============================================================================
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|
//= Set selection
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|
//==============================================================================
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|
template<class Type, class SetT>
|
|
typename enable_if<is_concept_combinable<is_interval_set, is_interval_map,
|
|
SetT, Type>, SetT>::type&
|
|
domain(SetT& result, const Type& object)
|
|
{
|
|
typedef typename SetT::iterator set_iterator;
|
|
result.clear();
|
|
set_iterator prior_ = result.end();
|
|
ICL_const_FORALL(typename Type, it_, object)
|
|
prior_ = icl::insert(result, prior_, (*it_).first);
|
|
|
|
return result;
|
|
}
|
|
|
|
template<class Type, class SetT>
|
|
typename enable_if<is_concept_combinable<is_interval_set, is_interval_map,
|
|
SetT, Type>, SetT>::type&
|
|
between(SetT& in_between, const Type& object)
|
|
{
|
|
typedef typename Type::const_iterator const_iterator;
|
|
typedef typename SetT::iterator set_iterator;
|
|
in_between.clear();
|
|
const_iterator it_ = object.begin(), pred_;
|
|
set_iterator prior_ = in_between.end();
|
|
|
|
if(it_ != object.end())
|
|
pred_ = it_++;
|
|
|
|
while(it_ != object.end())
|
|
prior_ = icl::insert(in_between, prior_,
|
|
between((*pred_++).first, (*it_++).first));
|
|
|
|
return in_between;
|
|
}
|
|
|
|
//==============================================================================
|
|
//= Manipulation by predicates
|
|
//==============================================================================
|
|
template<class MapT, class Predicate>
|
|
typename enable_if<is_interval_map<MapT>, MapT>::type&
|
|
erase_if(const Predicate& pred, MapT& object)
|
|
{
|
|
typename MapT::iterator it_ = object.begin();
|
|
while(it_ != object.end())
|
|
if(pred(*it_))
|
|
object.erase(it_++);
|
|
else ++it_;
|
|
return object;
|
|
}
|
|
|
|
template<class MapT, class Predicate>
|
|
inline typename enable_if<is_interval_map<MapT>, MapT>::type&
|
|
add_if(const Predicate& pred, MapT& object, const MapT& src)
|
|
{
|
|
typename MapT::const_iterator it_ = src.begin();
|
|
while(it_ != src.end())
|
|
if(pred(*it_))
|
|
icl::add(object, *it_++);
|
|
|
|
return object;
|
|
}
|
|
|
|
template<class MapT, class Predicate>
|
|
inline typename enable_if<is_interval_map<MapT>, MapT>::type&
|
|
assign_if(const Predicate& pred, MapT& object, const MapT& src)
|
|
{
|
|
icl::clear(object);
|
|
return add_if(object, src, pred);
|
|
}
|
|
|
|
|
|
//==============================================================================
|
|
//= Morphisms
|
|
//==============================================================================
|
|
template<class Type>
|
|
typename enable_if<mpl::and_< is_interval_map<Type>
|
|
, absorbs_identities<Type> >, Type>::type&
|
|
absorb_identities(Type& object)
|
|
{
|
|
return object;
|
|
}
|
|
|
|
template<class Type>
|
|
typename enable_if<mpl::and_< is_interval_map<Type>
|
|
, mpl::not_<absorbs_identities<Type> > >, Type>::type&
|
|
absorb_identities(Type& object)
|
|
{
|
|
typedef typename Type::segment_type segment_type;
|
|
return icl::erase_if(content_is_identity_element<segment_type>(), object);
|
|
}
|
|
|
|
//==============================================================================
|
|
//= Streaming
|
|
//==============================================================================
|
|
template<class CharType, class CharTraits, class Type>
|
|
typename enable_if<is_interval_map<Type>,
|
|
std::basic_ostream<CharType, CharTraits> >::type&
|
|
operator << (std::basic_ostream<CharType, CharTraits>& stream, const Type& object)
|
|
{
|
|
stream << "{";
|
|
ICL_const_FORALL(typename Type, it_, object)
|
|
stream << "(" << (*it_).first << "->" << (*it_).second << ")";
|
|
|
|
return stream << "}";
|
|
}
|
|
|
|
|
|
}} // namespace boost icl
|
|
|
|
#endif
|
|
|
|
|