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/*-----------------------------------------------------------------------------+ 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_SET_HPP_JOFA_100920 #define BOOST_ICL_CONCEPT_INTERVAL_SET_HPP_JOFA_100920 #include #include #include #include #include namespace boost{ namespace icl { //============================================================================== //= Containedness //============================================================================== //------------------------------------------------------------------------------ //- bool contains(c T&, c P&) T:{S} P:{e i S} fragment_types //------------------------------------------------------------------------------ template typename enable_if, bool>::type contains(const Type& super, const typename Type::element_type& element) { return !(icl::find(super, element) == super.end()); } template typename enable_if, bool>::type contains(const Type& super, const typename Type::segment_type& inter_val) { typedef typename Type::const_iterator const_iterator; if(icl::is_empty(inter_val)) return true; std::pair exterior = super.equal_range(inter_val); if(exterior.first == exterior.second) return false; const_iterator last_overlap = cyclic_prior(super, exterior.second); return icl::contains(hull(*(exterior.first), *last_overlap), inter_val) && Interval_Set::is_joinable(super, exterior.first, last_overlap); } template typename enable_if, bool>::type contains(const Type& super, const OperandT& sub) { return Interval_Set::contains(super, sub); } //============================================================================== //= Addition //============================================================================== //------------------------------------------------------------------------------ //- T& add(T&, c P&) T:{S} P:{e i} fragment_types //------------------------------------------------------------------------------ template typename enable_if, Type>::type& add(Type& object, const typename Type::segment_type& operand) { return object.add(operand); } template inline typename enable_if, Type>::type& add(Type& object, const typename Type::element_type& operand) { typedef typename Type::segment_type segment_type; return icl::add(object, icl::singleton(operand)); } //------------------------------------------------------------------------------ //- T& add(T&, J, c P&) T:{S} P:{i} interval_type //------------------------------------------------------------------------------ template inline typename enable_if, typename Type::iterator>::type add(Type& object, typename Type::iterator prior, const typename Type::segment_type& operand) { return object.add(prior, operand); } //============================================================================== //= Insertion //============================================================================== //------------------------------------------------------------------------------ //- T& insert(T&, c P&) T:{S} P:{e i} fragment_types //------------------------------------------------------------------------------ template inline typename enable_if, Type>::type& insert(Type& object, const typename Type::segment_type& operand) { return icl::add(object, operand); } template inline typename enable_if, Type>::type& insert(Type& object, const typename Type::element_type& operand) { return icl::add(object, operand); } //------------------------------------------------------------------------------ //- T& insert(T&, J, c P&) T:{S} P:{i} with hint //------------------------------------------------------------------------------ template inline typename enable_if, typename Type::iterator>::type insert(Type& object, typename Type::iterator prior, const typename Type::segment_type& operand) { return icl::add(object, prior, operand); } //============================================================================== //= Subtraction //============================================================================== //------------------------------------------------------------------------------ //- T& subtract(T&, c P&) T:{S} P:{e i} fragment_type //------------------------------------------------------------------------------ template typename enable_if, Type>::type& subtract(Type& object, const typename Type::segment_type& operand) { return object.subtract(operand); } template inline typename enable_if, Type>::type& subtract(Type& object, const typename Type::element_type& operand) { typedef typename Type::segment_type segment_type; return icl::subtract(object, icl::singleton(operand)); } //============================================================================== //= Erasure //============================================================================== //------------------------------------------------------------------------------ //- T& erase(T&, c P&) T:{S} P:{e i} fragment_types //------------------------------------------------------------------------------ template typename enable_if, Type>::type& erase(Type& object, const typename Type::segment_type& minuend) { return icl::subtract(object, minuend); } template typename enable_if, Type>::type& erase(Type& object, const typename Type::element_type& minuend) { return icl::subtract(object, minuend); } //============================================================================== //= Intersection //============================================================================== //------------------------------------------------------------------------------ //- void add_intersection(T&, c T&, c P&) T:{S} P:{e i} fragment_types //------------------------------------------------------------------------------ template typename enable_if, void>::type add_intersection(Type& section, const Type& object, const typename Type::element_type& operand) { typedef typename Type::const_iterator const_iterator; const_iterator found = icl::find(object, operand); if(found != object.end()) icl::add(section, operand); } template typename enable_if, void>::type add_intersection(Type& section, const Type& object, const typename Type::segment_type& segment) { typedef typename Type::const_iterator const_iterator; typedef typename Type::iterator iterator; typedef typename Type::interval_type interval_type; if(icl::is_empty(segment)) return; std::pair exterior = object.equal_range(segment); if(exterior.first == exterior.second) return; iterator prior_ = section.end(); for(const_iterator it_=exterior.first; it_ != exterior.second; it_++) { interval_type common_interval = key_value(it_) & segment; if(!icl::is_empty(common_interval)) prior_ = section.insert(prior_, common_interval); } } //============================================================================== //= Symmetric difference //============================================================================== //------------------------------------------------------------------------------ //- T& flip(T&, c P&) T:{S} P:{e i S'} fragment_types //------------------------------------------------------------------------------ template typename enable_if, Type>::type& flip(Type& object, const typename Type::element_type& operand) { if(icl::contains(object, operand)) return object -= operand; else return object += operand; } template typename enable_if, Type>::type& flip(Type& object, const typename Type::segment_type& segment) { typedef typename Type::const_iterator const_iterator; typedef typename Type::interval_type interval_type; // That which is common shall be subtracted // That which is not shall be added // So x has to be 'complementary added' or flipped interval_type span = segment; std::pair exterior = object.equal_range(span); const_iterator fst_ = exterior.first; const_iterator end_ = exterior.second; interval_type covered, left_over; const_iterator it_ = fst_; while(it_ != end_) { covered = *it_++; //[a ... : span // [b ... : covered //[a b) : left_over left_over = right_subtract(span, covered); icl::subtract(object, span & covered); //That which is common shall be subtracted icl::add(object, left_over); //That which is not shall be added //... d) : span //... c) : covered // [c d) : span' span = left_subtract(span, covered); } //If span is not empty here, it_ is not in the set so it_ shall be added icl::add(object, span); return object; } template typename enable_if, Type>::type& flip(Type& object, const OperandT& operand) { typedef typename OperandT::const_iterator const_iterator; if(operand.empty()) return object; const_iterator common_lwb, common_upb; if(!Set::common_range(common_lwb, common_upb, operand, object)) return object += operand; const_iterator it_ = operand.begin(); // All elements of operand left of the common range are added while(it_ != common_lwb) icl::add(object, *it_++); // All elements of operand in the common range are symmertrically subtracted while(it_ != common_upb) icl::flip(object, *it_++); // All elements of operand right of the common range are added while(it_ != operand.end()) icl::add(object, *it_++); return object; } //============================================================================== //= Set selection //============================================================================== template typename enable_if, Type>::type& domain(Type& dom, const Type& object) { typedef typename Type::const_iterator const_iterator; typedef typename Type::iterator iterator; dom.clear(); const_iterator it_ = object.begin(); iterator prior_ = dom.end(); while(it_ != object.end()) prior_ = icl::insert(dom, prior_, *it_++); return dom; } template typename enable_if, Type>::type& between(Type& in_between, const Type& object) { typedef typename Type::const_iterator const_iterator; typedef typename Type::iterator iterator; in_between.clear(); const_iterator it_ = object.begin(), pred_; iterator prior_ = in_between.end(); if(it_ != object.end()) pred_ = it_++; while(it_ != object.end()) prior_ = icl::insert(in_between, prior_, icl::between(*pred_++, *it_++)); return in_between; } //============================================================================== //= Streaming //============================================================================== template typename enable_if, std::basic_ostream >::type& operator << (std::basic_ostream& stream, const Type& object) { stream << "{"; ICL_const_FORALL(typename Type, it_, object) stream << (*it_); return stream << "}"; } }} // namespace boost icl #endif