/*-----------------------------------------------------------------------------+ | |
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_MAP_HPP_JOFA_100920 | |
#define BOOST_ICL_CONCEPT_INTERVAL_MAP_HPP_JOFA_100920 | |
#include <boost/icl/type_traits/element_type_of.hpp> | |
#include <boost/icl/type_traits/segment_type_of.hpp> | |
#include <boost/icl/type_traits/absorbs_identities.hpp> | |
#include <boost/icl/type_traits/is_combinable.hpp> | |
#include <boost/icl/type_traits/is_interval_splitter.hpp> | |
#include <boost/icl/detail/set_algo.hpp> | |
#include <boost/icl/detail/interval_map_algo.hpp> | |
#include <boost/icl/concept/interval.hpp> | |
#include <boost/icl/concept/joinable.hpp> | |
namespace boost{ namespace icl | |
{ | |
template<class Type> | |
inline typename enable_if<is_interval_map<Type>, typename Type::segment_type>::type | |
make_segment(const typename Type::element_type& element) | |
{ | |
typedef typename Type::interval_type interval_type; | |
typedef typename Type::segment_type segment_type; | |
return segment_type(icl::singleton<interval_type>(element.key), element.data); | |
} | |
//============================================================================== | |
//= Containedness<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- bool contains(c T&, c P&) T:{M} P:{b p M} fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, bool>::type | |
contains(const Type& super, const typename Type::element_type& key_value_pair) | |
{ | |
typedef typename Type::const_iterator const_iterator; | |
const_iterator it_ = icl::find(super, key_value_pair.key); | |
return it_ != super.end() && it_->second == key_value_pair.data; | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, bool>::type | |
contains(const Type& super, const typename Type::segment_type& sub_segment) | |
{ | |
typedef typename Type::interval_type interval_type; | |
typedef typename Type::const_iterator const_iterator; | |
interval_type sub_interval = sub_segment.first; | |
if(icl::is_empty(sub_interval)) | |
return true; | |
std::pair<const_iterator, const_iterator> exterior = super.equal_range(sub_interval); | |
if(exterior.first == exterior.second) | |
return false; | |
const_iterator last_overlap = prior(exterior.second); | |
if(!(sub_segment.second == exterior.first->second) ) | |
return false; | |
return | |
icl::contains(hull(exterior.first->first, last_overlap->first), sub_interval) | |
&& Interval_Map::is_joinable(super, exterior.first, last_overlap); | |
} | |
template<class Type, class CoType> | |
typename enable_if<is_concept_compatible<is_interval_map, Type, CoType>, bool>::type | |
contains(const Type& super, const CoType& sub) | |
{ | |
return Interval_Set::within(sub, super); | |
} | |
//------------------------------------------------------------------------------ | |
//- bool contains(c T&, c P&) T:{M} P:{e i S} key_types : total | |
//------------------------------------------------------------------------------ | |
template<class Type, class CoType> | |
typename enable_if< mpl::and_< is_interval_map<Type> | |
, is_total<Type> | |
, is_cross_derivative<Type, CoType> > | |
, bool>::type | |
contains(const Type& super, const CoType& sub) | |
{ | |
return true; | |
} | |
//------------------------------------------------------------------------------ | |
//- bool contains(c T&, c P&) T:{M} P:{e i S} key_types : partial | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if< mpl::and_< is_interval_map<Type> | |
, mpl::not_<is_total<Type> > > | |
, bool>::type | |
contains(const Type& super, const typename Type::domain_type& key) | |
{ | |
return super.find(key) != super.end(); | |
} | |
template<class Type> | |
typename enable_if< mpl::and_< is_interval_map<Type> | |
, mpl::not_<is_total<Type> > > | |
, bool>::type | |
contains(const Type& super, const typename Type::interval_type& sub_interval) | |
{ | |
typedef typename Type::const_iterator const_iterator; | |
if(icl::is_empty(sub_interval)) | |
return true; | |
std::pair<const_iterator, const_iterator> exterior = super.equal_range(sub_interval); | |
if(exterior.first == exterior.second) | |
return false; | |
const_iterator last_overlap = prior(exterior.second); | |
return | |
icl::contains(hull(exterior.first->first, last_overlap->first), sub_interval) | |
&& Interval_Set::is_joinable(super, exterior.first, last_overlap); | |
} | |
template<class Type, class KeyT> | |
typename enable_if< mpl::and_< is_concept_combinable<is_interval_map, is_interval_set, Type, KeyT> | |
, mpl::not_<is_total<Type> > > | |
, bool>::type | |
contains(const Type& super, const KeyT& sub) | |
{ | |
return Interval_Set::within(sub, super); | |
} | |
//============================================================================== | |
//= Addition<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& add(T&, c P&) T:{M} P:{b p} fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
add(Type& object, const typename Type::segment_type& operand) | |
{ | |
return object.add(operand); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
add(Type& object, const typename Type::element_type& operand) | |
{ | |
return icl::add(object, make_segment<Type>(operand)); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& add(T&, J, c P&) T:{M} P:{p} segment_type | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, typename Type::iterator >::type | |
add(Type& object, typename Type::iterator prior_, | |
const typename Type::segment_type& operand) | |
{ | |
return object.add(prior_, operand); | |
} | |
//============================================================================== | |
//= Insertion<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& insert(T&, c P&) T:{M} P:{b p} fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
insert(Type& object, const typename Type::segment_type& operand) | |
{ | |
return object.insert(operand); | |
} | |
template<class Type> | |
inline typename enable_if<is_interval_map<Type>, Type>::type& | |
insert(Type& object, const typename Type::element_type& operand) | |
{ | |
return icl::insert(object, make_segment<Type>(operand)); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& insert(T&, J, c P&) T:{M} P:{p} with hint | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, typename Type::iterator>::type | |
insert(Type& object, typename Type::iterator prior, | |
const typename Type::segment_type& operand) | |
{ | |
return object.insert(prior, operand); | |
} | |
//============================================================================== | |
//= Erasure<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& erase(T&, c P&) T:{M} P:{e i} key_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
erase(Type& object, const typename Type::interval_type& operand) | |
{ | |
return object.erase(operand); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
erase(Type& object, const typename Type::domain_type& operand) | |
{ | |
typedef typename Type::interval_type interval_type; | |
return icl::erase(object, icl::singleton<interval_type>(operand)); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& erase(T&, c P&) T:{M} P:{b p} fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
erase(Type& object, const typename Type::segment_type& operand) | |
{ | |
return object.erase(operand); | |
} | |
template<class Type> | |
inline typename enable_if<is_interval_map<Type>, Type>::type& | |
erase(Type& object, const typename Type::element_type& operand) | |
{ | |
return icl::erase(object, make_segment<Type>(operand)); | |
} | |
//============================================================================== | |
//= Subtraction<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& subtract(T&, c P&) T:{M} P:{b p} fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
subtract(Type& object, const typename Type::segment_type& operand) | |
{ | |
return object.subtract(operand); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
subtract(Type& object, const typename Type::element_type& operand) | |
{ | |
return icl::subtract(object, make_segment<Type>(operand)); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& subtract(T&, c P&) T:{M} P:{e i} key_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
subtract(Type& object, const typename Type::domain_type& operand) | |
{ | |
return object.erase(operand); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
subtract(Type& object, const typename Type::interval_type& operand) | |
{ | |
return object.erase(operand); | |
} | |
//============================================================================== | |
//= Selective Update<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& set_at(T&, c P&) T:{M} P:{e i} | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
set_at(Type& object, const typename Type::segment_type& operand) | |
{ | |
icl::erase(object, operand.first); | |
return icl::insert(object, operand); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
set_at(Type& object, const typename Type::element_type& operand) | |
{ | |
return icl::set_at(object, make_segment<Type>(operand)); | |
} | |
//============================================================================== | |
//= Intersection<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& subtract(T&, c P&) T:{M} P:{b p} fragment_type | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, void>::type | |
add_intersection(Type& section, const Type& object, | |
const typename Type::element_type& operand) | |
{ | |
typedef typename Type::segment_type segment_type; | |
object.add_intersection(section, make_segment<Type>(operand)); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, void>::type | |
add_intersection(Type& section, const Type& object, | |
const typename Type::segment_type& operand) | |
{ | |
object.add_intersection(section, operand); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& subtract(T&, c P&) T:{M} P:{M'} map fragment_type total | |
//------------------------------------------------------------------------------ | |
template<class Type, class MapT> | |
typename enable_if | |
< | |
mpl::and_< is_total<Type> | |
, is_concept_compatible<is_interval_map, Type, MapT> > | |
, void | |
>::type | |
add_intersection(Type& section, const Type& object, const MapT& operand) | |
{ | |
section += object; | |
section += operand; | |
} | |
//------------------------------------------------------------------------------ | |
//- T& subtract(T&, c P&) T:{M} P:{M'} map fragment_type partial | |
//------------------------------------------------------------------------------ | |
template<class Type, class MapT> | |
typename enable_if | |
< | |
mpl::and_< mpl::not_<is_total<Type> > | |
, is_concept_compatible<is_interval_map, Type, MapT> > | |
, void | |
>::type | |
add_intersection(Type& section, const Type& object, const MapT& operand) | |
{ | |
typedef typename Type::segment_type segment_type; | |
typedef typename Type::interval_type interval_type; | |
typedef typename MapT::const_iterator const_iterator; | |
if(operand.empty()) | |
return; | |
const_iterator common_lwb, common_upb; | |
if(!Set::common_range(common_lwb, common_upb, operand, object)) | |
return; | |
const_iterator it_ = common_lwb; | |
while(it_ != common_upb) | |
add_intersection(section, object, *it_++); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& subtract(T&, c P&) T:{M} P:{e i S} key_type | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, void>::type | |
add_intersection(Type& section, const Type& object, | |
const typename Type::domain_type& key_value) | |
{ | |
typedef typename Type::interval_type interval_type; | |
typedef typename Type::segment_type segment_type; | |
typedef typename Type::const_iterator const_iterator; | |
const_iterator it_ = object.find(key_value); | |
if(it_ != object.end()) | |
add(section, segment_type(interval_type(key_value),it_->second)); | |
} | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, void>::type | |
add_intersection(Type& section, const Type& object, | |
const typename Type::interval_type& inter_val) | |
{ | |
typedef typename Type::interval_type interval_type; | |
typedef typename Type::value_type value_type; | |
typedef typename Type::const_iterator const_iterator; | |
typedef typename Type::iterator iterator; | |
if(icl::is_empty(inter_val)) | |
return; | |
std::pair<const_iterator, const_iterator> exterior | |
= object.equal_range(inter_val); | |
if(exterior.first == exterior.second) | |
return; | |
iterator prior_ = section.end(); | |
for(const_iterator it_=exterior.first; it_ != exterior.second; it_++) | |
{ | |
interval_type common_interval = it_->first & inter_val; | |
if(!icl::is_empty(common_interval)) | |
prior_ = add(section, prior_, | |
value_type(common_interval, it_->second) ); | |
} | |
} | |
template<class Type, class KeySetT> | |
typename enable_if<is_concept_combinable<is_interval_map, is_interval_set, Type, KeySetT>, void>::type | |
add_intersection(Type& section, const Type& object, const KeySetT& key_set) | |
{ | |
typedef typename KeySetT::const_iterator const_iterator; | |
if(icl::is_empty(key_set)) | |
return; | |
const_iterator common_lwb, common_upb; | |
if(!Set::common_range(common_lwb, common_upb, key_set, object)) | |
return; | |
const_iterator it_ = common_lwb; | |
while(it_ != common_upb) | |
add_intersection(section, object, *it_++); | |
} | |
//------------------------------------------------------------------------------ | |
//- intersects<IntervalMaps> fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type, class OperandT> | |
typename enable_if<mpl::and_< is_interval_map<Type> | |
, is_total<Type> | |
, boost::is_same< OperandT | |
, typename segment_type_of<Type>::type> >, | |
bool>::type | |
intersects(const Type&, const OperandT&) | |
{ | |
return true; | |
} | |
template<class Type, class OperandT> | |
typename enable_if<mpl::and_< is_interval_map<Type> | |
, mpl::not_<is_total<Type> > | |
, boost::is_same<OperandT, typename segment_type_of<Type>::type> >, | |
bool>::type | |
intersects(const Type& object, const OperandT& operand) | |
{ | |
Type intersection; | |
icl::add_intersection(intersection, object, operand); | |
return !icl::is_empty(intersection); | |
} | |
template<class Type, class OperandT> | |
typename enable_if<mpl::and_< is_interval_map<Type> | |
, boost::is_same<OperandT, typename element_type_of<Type>::type> >, | |
bool>::type | |
intersects(const Type& object, const OperandT& operand) | |
{ | |
return icl::intersects(object, make_segment<Type>(operand)); | |
} | |
//============================================================================== | |
//= Symmetric difference<IntervalMap> | |
//============================================================================== | |
//------------------------------------------------------------------------------ | |
//- T& flip(T&, c P&) T:{M} P:{b p} fragment_types | |
//------------------------------------------------------------------------------ | |
template<class Type> | |
typename enable_if<is_interval_map<Type>, Type>::type& | |
flip(Type& object, const typename Type::segment_type& operand) | |
{ | |
return object.flip(operand); | |
} | |
template<class Type> | |
inline typename enable_if<is_interval_map<Type>, Type>::type& | |
flip(Type& object, const typename Type::element_type& operand) | |
{ | |
return icl::flip(object, make_segment<Type>(operand)); | |
} | |
//------------------------------------------------------------------------------ | |
//- T& flip(T&, c P&) T:{M} P:{M'} total absorber | |
//------------------------------------------------------------------------------ | |
template<class Type, class OperandT> | |
typename enable_if< mpl::and_< is_total<Type> | |
, absorbs_identities<Type> | |
, is_concept_compatible<is_interval_map, | |
Type, OperandT > | |
> | |
, Type>::type& | |
flip(Type& object, const OperandT&) | |
{ | |
object.clear(); | |
return object; | |
} | |
//------------------------------------------------------------------------------ | |
//- T& flip(T&, c P&) T:{M} P:{M'} total enricher | |
//------------------------------------------------------------------------------ | |
#ifdef BOOST_MSVC | |
#pragma warning(push) | |
#pragma warning(disable:4127) // conditional expression is constant | |
#endif | |
template<class Type, class OperandT> | |
typename enable_if< mpl::and_< is_total<Type> | |
, mpl::not_<absorbs_identities<Type> > | |
, is_concept_compatible<is_interval_map, | |
Type, OperandT > | |
> | |
, Type>::type& | |
flip(Type& object, const OperandT& operand) | |
{ | |
typedef typename Type::codomain_type codomain_type; | |
object += operand; | |
ICL_FORALL(typename Type, it_, object) | |
it_->second = identity_element<codomain_type>::value(); | |
if(mpl::not_<is_interval_splitter<Type> >::value) | |
icl::join(object); | |
return object; | |
} | |
#ifdef BOOST_MSVC | |
#pragma warning(pop) | |
#endif | |
//------------------------------------------------------------------------------ | |
//- T& flip(T&, c P&) T:{M} P:{M'} partial | |
//------------------------------------------------------------------------------ | |
template<class Type, class OperandT> | |
typename enable_if< mpl::and_< mpl::not_<is_total<Type> > | |
, is_concept_compatible<is_interval_map, | |
Type, OperandT > | |
> | |
, Type>::type& | |
flip(Type& object, const OperandT& operand) | |
{ | |
typedef typename OperandT::const_iterator const_iterator; | |
typedef typename Type::codomain_type codomain_type; | |
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 symmetrically 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<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 | |