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ext-boost/boost/icl/interval_base_map.hpp

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Add boost::icl::interval_map
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/*-----------------------------------------------------------------------------+
Copyright (c) 2007-2012: Joachim Faulhaber
Copyright (c) 1999-2006: Cortex Software GmbH, Kantstrasse 57, Berlin
+------------------------------------------------------------------------------+
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_INTERVAL_BASE_MAP_HPP_JOFA_990223
#define BOOST_ICL_INTERVAL_BASE_MAP_HPP_JOFA_990223
#include <limits>
#include <boost/type_traits/ice.hpp>
#include <boost/mpl/and.hpp>
#include <boost/mpl/or.hpp>
#include <boost/mpl/not.hpp>
#include <boost/icl/detail/notate.hpp>
#include <boost/icl/detail/design_config.hpp>
#include <boost/icl/detail/on_absorbtion.hpp>
#include <boost/icl/detail/interval_map_algo.hpp>
#include <boost/icl/associative_interval_container.hpp>
#include <boost/icl/type_traits/is_interval_splitter.hpp>
#include <boost/icl/map.hpp>
namespace boost{namespace icl
{
template<class DomainT, class CodomainT>
struct mapping_pair
{
DomainT key;
CodomainT data;
mapping_pair():key(), data(){}
mapping_pair(const DomainT& key_value, const CodomainT& data_value)
:key(key_value), data(data_value){}
mapping_pair(const std::pair<DomainT,CodomainT>& std_pair)
:key(std_pair.first), data(std_pair.second){}
};
/** \brief Implements a map as a map of intervals (base class) */
template
<
class SubType,
typename DomainT,
typename CodomainT,
class Traits = icl::partial_absorber,
ICL_COMPARE Compare = ICL_COMPARE_INSTANCE(ICL_COMPARE_DEFAULT, DomainT),
ICL_COMBINE Combine = ICL_COMBINE_INSTANCE(icl::inplace_plus, CodomainT),
ICL_SECTION Section = ICL_SECTION_INSTANCE(icl::inter_section, CodomainT),
ICL_INTERVAL(ICL_COMPARE) Interval = ICL_INTERVAL_INSTANCE(ICL_INTERVAL_DEFAULT, DomainT, Compare),
ICL_ALLOC Alloc = std::allocator
>
class interval_base_map
{
public:
//==========================================================================
//= Associated types
//==========================================================================
typedef interval_base_map<SubType,DomainT,CodomainT,
Traits,Compare,Combine,Section,Interval,Alloc>
type;
/// The designated \e derived or \e sub_type of this base class
typedef SubType sub_type;
/// Auxilliary type for overloadresolution
typedef type overloadable_type;
/// Traits of an itl map
typedef Traits traits;
//--------------------------------------------------------------------------
//- Associated types: Related types
//--------------------------------------------------------------------------
/// The atomized type representing the corresponding container of elements
typedef typename icl::map<DomainT,CodomainT,
Traits,Compare,Combine,Section,Alloc> atomized_type;
//--------------------------------------------------------------------------
//- Associated types: Data
//--------------------------------------------------------------------------
/// Domain type (type of the keys) of the map
typedef DomainT domain_type;
typedef typename boost::call_traits<DomainT>::param_type domain_param;
/// Domain type (type of the keys) of the map
typedef CodomainT codomain_type;
/// Auxiliary type to help the compiler resolve ambiguities when using std::make_pair
typedef mapping_pair<domain_type,codomain_type> domain_mapping_type;
/// Conceptual is a map a set of elements of type \c element_type
typedef domain_mapping_type element_type;
/// The interval type of the map
typedef ICL_INTERVAL_TYPE(Interval,DomainT,Compare) interval_type;
/// Auxiliary type for overload resolution
typedef std::pair<interval_type,CodomainT> interval_mapping_type;
/// Type of an interval containers segment, that is spanned by an interval
typedef std::pair<interval_type,CodomainT> segment_type;
//--------------------------------------------------------------------------
//- Associated types: Size
//--------------------------------------------------------------------------
/// The difference type of an interval which is sometimes different form the domain_type
typedef typename difference_type_of<domain_type>::type difference_type;
/// The size type of an interval which is mostly std::size_t
typedef typename size_type_of<domain_type>::type size_type;
//--------------------------------------------------------------------------
//- Associated types: Functors
//--------------------------------------------------------------------------
/// Comparison functor for domain values
typedef ICL_COMPARE_DOMAIN(Compare,DomainT) domain_compare;
typedef ICL_COMPARE_DOMAIN(Compare,segment_type) segment_compare;
/// Combine functor for codomain value aggregation
typedef ICL_COMBINE_CODOMAIN(Combine,CodomainT) codomain_combine;
/// Inverse Combine functor for codomain value aggregation
typedef typename inverse<codomain_combine>::type inverse_codomain_combine;
/// Intersection functor for codomain values
typedef typename mpl::if_
<has_set_semantics<codomain_type>
, ICL_SECTION_CODOMAIN(Section,CodomainT)
, codomain_combine
>::type codomain_intersect;
/// Inverse Combine functor for codomain value intersection
typedef typename inverse<codomain_intersect>::type inverse_codomain_intersect;
/// Comparison functor for intervals which are keys as well
typedef exclusive_less_than<interval_type> interval_compare;
/// Comparison functor for keys
typedef exclusive_less_than<interval_type> key_compare;
//--------------------------------------------------------------------------
//- Associated types: Implementation and stl related
//--------------------------------------------------------------------------
/// The allocator type of the set
typedef Alloc<std::pair<const interval_type, codomain_type> >
allocator_type;
/// Container type for the implementation
typedef ICL_IMPL_SPACE::map<interval_type,codomain_type,
key_compare,allocator_type> ImplMapT;
/// key type of the implementing container
typedef typename ImplMapT::key_type key_type;
/// value type of the implementing container
typedef typename ImplMapT::value_type value_type;
/// data type of the implementing container
typedef typename ImplMapT::value_type::second_type data_type;
/// pointer type
typedef typename ImplMapT::pointer pointer;
/// const pointer type
typedef typename ImplMapT::const_pointer const_pointer;
/// reference type
typedef typename ImplMapT::reference reference;
/// const reference type
typedef typename ImplMapT::const_reference const_reference;
/// iterator for iteration over intervals
typedef typename ImplMapT::iterator iterator;
/// const_iterator for iteration over intervals
typedef typename ImplMapT::const_iterator const_iterator;
/// iterator for reverse iteration over intervals
typedef typename ImplMapT::reverse_iterator reverse_iterator;
/// const_iterator for iteration over intervals
typedef typename ImplMapT::const_reverse_iterator const_reverse_iterator;
/// element iterator: Depreciated, see documentation.
typedef boost::icl::element_iterator<iterator> element_iterator;
/// const element iterator: Depreciated, see documentation.
typedef boost::icl::element_iterator<const_iterator> element_const_iterator;
/// element reverse iterator: Depreciated, see documentation.
typedef boost::icl::element_iterator<reverse_iterator> element_reverse_iterator;
/// element const reverse iterator: Depreciated, see documentation.
typedef boost::icl::element_iterator<const_reverse_iterator> element_const_reverse_iterator;
typedef typename on_absorbtion<type, codomain_combine,
Traits::absorbs_identities>::type on_codomain_absorbtion;
public:
BOOST_STATIC_CONSTANT(bool,
is_total_invertible = ( Traits::is_total
&& has_inverse<codomain_type>::value));
BOOST_STATIC_CONSTANT(int, fineness = 0);
public:
//==========================================================================
//= Construct, copy, destruct
//==========================================================================
/** Default constructor for the empty object */
interval_base_map()
{
BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<DomainT>));
BOOST_CONCEPT_ASSERT((LessThanComparableConcept<DomainT>));
BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<CodomainT>));
BOOST_CONCEPT_ASSERT((EqualComparableConcept<CodomainT>));
}
/** Copy constructor */
interval_base_map(const interval_base_map& src): _map(src._map)
{
BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<DomainT>));
BOOST_CONCEPT_ASSERT((LessThanComparableConcept<DomainT>));
BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<CodomainT>));
BOOST_CONCEPT_ASSERT((EqualComparableConcept<CodomainT>));
}
# ifndef BOOST_ICL_NO_CXX11_RVALUE_REFERENCES
//==========================================================================
//= Move semantics
//==========================================================================
/** Move constructor */
interval_base_map(interval_base_map&& src): _map(boost::move(src._map))
{
BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<DomainT>));
BOOST_CONCEPT_ASSERT((LessThanComparableConcept<DomainT>));
BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<CodomainT>));
BOOST_CONCEPT_ASSERT((EqualComparableConcept<CodomainT>));
}
/** Move assignment operator */
interval_base_map& operator = (interval_base_map src)
{ //call by value sice 'src' is a "sink value"
this->_map = boost::move(src._map);
return *this;
}
//==========================================================================
# else
/** Copy assignment operator */
interval_base_map& operator = (const interval_base_map& src)
{
this->_map = src._map;
return *this;
}
# endif // BOOST_ICL_NO_CXX11_RVALUE_REFERENCES
/** swap the content of containers */
void swap(interval_base_map& object) { _map.swap(object._map); }
//==========================================================================
//= Containedness
//==========================================================================
/** clear the map */
void clear() { icl::clear(*that()); }
/** is the map empty? */
bool empty()const { return icl::is_empty(*that()); }
//==========================================================================
//= Size
//==========================================================================
/** An interval map's size is it's cardinality */
size_type size()const
{
return icl::cardinality(*that());
}
/** Size of the iteration over this container */
std::size_t iterative_size()const
{
return _map.size();
}
//==========================================================================
//= Selection
//==========================================================================
/** Find the interval value pair, that contains \c key */
const_iterator find(const domain_type& key_value)const
{
return icl::find(*this, key_value);
}
/** Find the first interval value pair, that collides with interval
\c key_interval */
const_iterator find(const interval_type& key_interval)const
{
return _map.find(key_interval);
}
/** Total select function. */
codomain_type operator()(const domain_type& key_value)const
{
const_iterator it_ = icl::find(*this, key_value);
return it_==end() ? identity_element<codomain_type>::value()
: (*it_).second;
}
//==========================================================================
//= Addition
//==========================================================================
/** Addition of a key value pair to the map */
SubType& add(const element_type& key_value_pair)
{
return icl::add(*that(), key_value_pair);
}
/** Addition of an interval value pair to the map. */
SubType& add(const segment_type& interval_value_pair)
{
this->template _add<codomain_combine>(interval_value_pair);
return *that();
}
/** Addition of an interval value pair \c interval_value_pair to the map.
Iterator \c prior_ is a hint to the position \c interval_value_pair can be
inserted after. */
iterator add(iterator prior_, const segment_type& interval_value_pair)
{
return this->template _add<codomain_combine>(prior_, interval_value_pair);
}
//==========================================================================
//= Subtraction
//==========================================================================
/** Subtraction of a key value pair from the map */
SubType& subtract(const element_type& key_value_pair)
{
return icl::subtract(*that(), key_value_pair);
}
/** Subtraction of an interval value pair from the map. */
SubType& subtract(const segment_type& interval_value_pair)
{
on_invertible<type, is_total_invertible>
::subtract(*that(), interval_value_pair);
return *that();
}
//==========================================================================
//= Insertion
//==========================================================================
/** Insertion of a \c key_value_pair into the map. */
SubType& insert(const element_type& key_value_pair)
{
return icl::insert(*that(), key_value_pair);
}
/** Insertion of an \c interval_value_pair into the map. */
SubType& insert(const segment_type& interval_value_pair)
{
_insert(interval_value_pair);
return *that();
}
/** Insertion of an \c interval_value_pair into the map. Iterator \c prior_.
serves as a hint to insert after the element \c prior point to. */
iterator insert(iterator prior, const segment_type& interval_value_pair)
{
return _insert(prior, interval_value_pair);
}
/** With <tt>key_value_pair = (k,v)</tt> set value \c v for key \c k */
SubType& set(const element_type& key_value_pair)
{
return icl::set_at(*that(), key_value_pair);
}
/** With <tt>interval_value_pair = (I,v)</tt> set value \c v
for all keys in interval \c I in the map. */
SubType& set(const segment_type& interval_value_pair)
{
return icl::set_at(*that(), interval_value_pair);
}
//==========================================================================
//= Erasure
//==========================================================================
/** Erase a \c key_value_pair from the map. */
SubType& erase(const element_type& key_value_pair)
{
icl::erase(*that(), key_value_pair);
return *that();
}
/** Erase an \c interval_value_pair from the map. */
SubType& erase(const segment_type& interval_value_pair);
/** Erase a key value pair for \c key. */
SubType& erase(const domain_type& key)
{
return icl::erase(*that(), key);
}
/** Erase all value pairs within the range of the
interval <tt>inter_val</tt> from the map. */
SubType& erase(const interval_type& inter_val);
/** Erase all value pairs within the range of the interval that iterator
\c position points to. */
void erase(iterator position){ this->_map.erase(position); }
/** Erase all value pairs for a range of iterators <tt>[first,past)</tt>. */
void erase(iterator first, iterator past){ this->_map.erase(first, past); }
//==========================================================================
//= Intersection
//==========================================================================
/** The intersection of \c interval_value_pair and \c *this map is added to \c section. */
void add_intersection(SubType& section, const segment_type& interval_value_pair)const
{
on_definedness<SubType, Traits::is_total>
::add_intersection(section, *that(), interval_value_pair);
}
//==========================================================================
//= Symmetric difference
//==========================================================================
/** If \c *this map contains \c key_value_pair it is erased, otherwise it is added. */
SubType& flip(const element_type& key_value_pair)
{
return icl::flip(*that(), key_value_pair);
}
/** If \c *this map contains \c interval_value_pair it is erased, otherwise it is added. */
SubType& flip(const segment_type& interval_value_pair)
{
on_total_absorbable<SubType, Traits::is_total, Traits::absorbs_identities>
::flip(*that(), interval_value_pair);
return *that();
}
//==========================================================================
//= Iterator related
//==========================================================================
iterator lower_bound(const key_type& interval)
{ return _map.lower_bound(interval); }
iterator upper_bound(const key_type& interval)
{ return _map.upper_bound(interval); }
const_iterator lower_bound(const key_type& interval)const
{ return _map.lower_bound(interval); }
const_iterator upper_bound(const key_type& interval)const
{ return _map.upper_bound(interval); }
std::pair<iterator,iterator> equal_range(const key_type& interval)
{
return std::pair<iterator,iterator>
(lower_bound(interval), upper_bound(interval));
}
std::pair<const_iterator,const_iterator>
equal_range(const key_type& interval)const
{
return std::pair<const_iterator,const_iterator>
(lower_bound(interval), upper_bound(interval));
}
iterator begin() { return _map.begin(); }
iterator end() { return _map.end(); }
const_iterator begin()const { return _map.begin(); }
const_iterator end()const { return _map.end(); }
reverse_iterator rbegin() { return _map.rbegin(); }
reverse_iterator rend() { return _map.rend(); }
const_reverse_iterator rbegin()const { return _map.rbegin(); }
const_reverse_iterator rend()const { return _map.rend(); }
private:
template<class Combiner>
iterator _add(const segment_type& interval_value_pair);
template<class Combiner>
iterator _add(iterator prior_, const segment_type& interval_value_pair);
template<class Combiner>
void _subtract(const segment_type& interval_value_pair);
iterator _insert(const segment_type& interval_value_pair);
iterator _insert(iterator prior_, const segment_type& interval_value_pair);
private:
template<class Combiner>
void add_segment(const interval_type& inter_val, const CodomainT& co_val, iterator& it_);
template<class Combiner>
void add_main(interval_type& inter_val, const CodomainT& co_val,
iterator& it_, const iterator& last_);
template<class Combiner>
void add_rear(const interval_type& inter_val, const CodomainT& co_val, iterator& it_);
void add_front(const interval_type& inter_val, iterator& first_);
private:
void subtract_front(const interval_type& inter_val, iterator& first_);
template<class Combiner>
void subtract_main(const CodomainT& co_val, iterator& it_, const iterator& last_);
template<class Combiner>
void subtract_rear(interval_type& inter_val, const CodomainT& co_val, iterator& it_);
private:
void insert_main(const interval_type&, const CodomainT&, iterator&, const iterator&);
void erase_rest ( interval_type&, const CodomainT&, iterator&, const iterator&);
template<class FragmentT>
void total_add_intersection(SubType& section, const FragmentT& fragment)const
{
section += *that();
section.add(fragment);
}
void partial_add_intersection(SubType& section, const segment_type& operand)const
{
interval_type inter_val = operand.first;
if(icl::is_empty(inter_val))
return;
std::pair<const_iterator, const_iterator> exterior = equal_range(inter_val);
if(exterior.first == exterior.second)
return;
for(const_iterator it_=exterior.first; it_ != exterior.second; it_++)
{
interval_type common_interval = (*it_).first & inter_val;
if(!icl::is_empty(common_interval))
{
section.template _add<codomain_combine> (value_type(common_interval, (*it_).second) );
section.template _add<codomain_intersect>(value_type(common_interval, operand.second));
}
}
}
void partial_add_intersection(SubType& section, const element_type& operand)const
{
partial_add_intersection(section, make_segment<type>(operand));
}
protected:
template <class Combiner>
iterator gap_insert(iterator prior_, const interval_type& inter_val,
const codomain_type& co_val )
{
// inter_val is not conained in this map. Insertion will be successful
BOOST_ASSERT(this->_map.find(inter_val) == this->_map.end());
BOOST_ASSERT((!on_absorbtion<type,Combiner,Traits::absorbs_identities>::is_absorbable(co_val)));
return this->_map.insert(prior_, value_type(inter_val, version<Combiner>()(co_val)));
}
template <class Combiner>
std::pair<iterator, bool>
add_at(const iterator& prior_, const interval_type& inter_val,
const codomain_type& co_val )
{
// Never try to insert an identity element into an identity element absorber here:
BOOST_ASSERT((!(on_absorbtion<type,Combiner,Traits::absorbs_identities>::is_absorbable(co_val))));
iterator inserted_
= this->_map.insert(prior_, value_type(inter_val, Combiner::identity_element()));
if((*inserted_).first == inter_val && (*inserted_).second == Combiner::identity_element())
{
Combiner()((*inserted_).second, co_val);
return std::pair<iterator,bool>(inserted_, true);
}
else
return std::pair<iterator,bool>(inserted_, false);
}
std::pair<iterator, bool>
insert_at(const iterator& prior_, const interval_type& inter_val,
const codomain_type& co_val )
{
iterator inserted_
= this->_map.insert(prior_, value_type(inter_val, co_val));
if(inserted_ == prior_)
return std::pair<iterator,bool>(inserted_, false);
else if((*inserted_).first == inter_val)
return std::pair<iterator,bool>(inserted_, true);
else
return std::pair<iterator,bool>(inserted_, false);
}
protected:
sub_type* that() { return static_cast<sub_type*>(this); }
const sub_type* that()const { return static_cast<const sub_type*>(this); }
protected:
ImplMapT _map;
private:
//--------------------------------------------------------------------------
template<class Type, bool is_total_invertible>
struct on_invertible;
template<class Type>
struct on_invertible<Type, true>
{
typedef typename Type::segment_type segment_type;
typedef typename Type::inverse_codomain_combine inverse_codomain_combine;
static void subtract(Type& object, const segment_type& operand)
{ object.template _add<inverse_codomain_combine>(operand); }
};
template<class Type>
struct on_invertible<Type, false>
{
typedef typename Type::segment_type segment_type;
typedef typename Type::inverse_codomain_combine inverse_codomain_combine;
static void subtract(Type& object, const segment_type& operand)
{ object.template _subtract<inverse_codomain_combine>(operand); }
};
friend struct on_invertible<type, true>;
friend struct on_invertible<type, false>;
//--------------------------------------------------------------------------
//--------------------------------------------------------------------------
template<class Type, bool is_total>
struct on_definedness;
template<class Type>
struct on_definedness<Type, true>
{
static void add_intersection(Type& section, const Type& object,
const segment_type& operand)
{ object.total_add_intersection(section, operand); }
};
template<class Type>
struct on_definedness<Type, false>
{
static void add_intersection(Type& section, const Type& object,
const segment_type& operand)
{ object.partial_add_intersection(section, operand); }
};
friend struct on_definedness<type, true>;
friend struct on_definedness<type, false>;
//--------------------------------------------------------------------------
//--------------------------------------------------------------------------
template<class Type, bool has_set_semantics>
struct on_codomain_model;
template<class Type>
struct on_codomain_model<Type, true>
{
typedef typename Type::interval_type interval_type;
typedef typename Type::codomain_type codomain_type;
typedef typename Type::segment_type segment_type;
typedef typename Type::codomain_combine codomain_combine;
typedef typename Type::inverse_codomain_intersect inverse_codomain_intersect;
static void add(Type& intersection, interval_type& common_interval,
const codomain_type& flip_value, const codomain_type& co_value)
{
codomain_type common_value = flip_value;
inverse_codomain_intersect()(common_value, co_value);
intersection.template
_add<codomain_combine>(segment_type(common_interval, common_value));
}
};
template<class Type>
struct on_codomain_model<Type, false>
{
typedef typename Type::interval_type interval_type;
typedef typename Type::codomain_type codomain_type;
typedef typename Type::segment_type segment_type;
typedef typename Type::codomain_combine codomain_combine;
static void add(Type& intersection, interval_type& common_interval,
const codomain_type&, const codomain_type&)
{
intersection.template
_add<codomain_combine>(segment_type(common_interval,
identity_element<codomain_type>::value()));
}
};
friend struct on_codomain_model<type, true>;
friend struct on_codomain_model<type, false>;
//--------------------------------------------------------------------------
//--------------------------------------------------------------------------
template<class Type, bool is_total, bool absorbs_identities>
struct on_total_absorbable;
template<class Type>
struct on_total_absorbable<Type, true, true>
{
static void flip(Type& object, const typename Type::segment_type&)
{ icl::clear(object); }
};
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable:4127) // conditional expression is constant
#endif
template<class Type>
struct on_total_absorbable<Type, true, false>
{
typedef typename Type::segment_type segment_type;
typedef typename Type::codomain_type codomain_type;
static void flip(Type& object, const segment_type& operand)
{
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);
}
};
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
template<class Type, bool absorbs_identities>
struct on_total_absorbable<Type, false, absorbs_identities>
{
typedef typename Type::segment_type segment_type;
typedef typename Type::codomain_type codomain_type;
typedef typename Type::interval_type interval_type;
typedef typename Type::value_type value_type;
typedef typename Type::const_iterator const_iterator;
typedef typename Type::set_type set_type;
typedef typename Type::inverse_codomain_intersect inverse_codomain_intersect;
static void flip(Type& object, const segment_type& interval_value_pair)
{
// That which is common shall be subtracted
// That which is not shall be added
// So interval_value_pair has to be 'complementary added' or flipped
interval_type span = interval_value_pair.first;
std::pair<const_iterator, const_iterator> exterior
= object.equal_range(span);
const_iterator first_ = exterior.first;
const_iterator end_ = exterior.second;
interval_type covered, left_over, common_interval;
const codomain_type& x_value = interval_value_pair.second;
const_iterator it_ = first_;
set_type eraser;
Type intersection;
while(it_ != end_ )
{
const codomain_type& co_value = (*it_).second;
covered = (*it_++).first;
//[a ... : span
// [b ... : covered
//[a b) : left_over
left_over = right_subtract(span, covered);
//That which is common ...
common_interval = span & covered;
if(!icl::is_empty(common_interval))
{
// ... shall be subtracted
icl::add(eraser, common_interval);
on_codomain_model<Type, has_set_semantics<codomain_type>::value>
::add(intersection, common_interval, x_value, co_value);
}
icl::add(object, value_type(left_over, x_value)); //That which is not shall be added
// Because this is a collision free addition I don't have to distinguish codomain_types.
//... 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, value_type(span, x_value));
//finally rewrite the common segments
icl::erase(object, eraser);
object += intersection;
}
};
//--------------------------------------------------------------------------
} ;
//==============================================================================
//= Addition detail
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::add_front(const interval_type& inter_val, iterator& first_)
{
// If the collision sequence has a left residual 'left_resid' it will
// be split, to provide a standardized start of algorithms:
// The addend interval 'inter_val' covers the beginning of the collision sequence.
// only for the first there can be a left_resid: a part of *first_ left of inter_val
interval_type left_resid = right_subtract((*first_).first, inter_val);
if(!icl::is_empty(left_resid))
{ // [------------ . . .
// [left_resid---first_ --- . . .
iterator prior_ = cyclic_prior(*this, first_);
const_cast<interval_type&>((*first_).first)
= left_subtract((*first_).first, left_resid);
//NOTE: Only splitting
this->_map.insert(prior_, segment_type(left_resid, (*first_).second));
}
//POST:
// [----- inter_val ---- . . .
// ...[-- first_ --...
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::add_segment(const interval_type& inter_val, const CodomainT& co_val, iterator& it_)
{
interval_type lead_gap = right_subtract(inter_val, (*it_).first);
if(!icl::is_empty(lead_gap))
{
// [lead_gap--- . . .
// [-- it_ ...
iterator prior_ = it_==this->_map.begin()? it_ : prior(it_);
iterator inserted_ = this->template gap_insert<Combiner>(prior_, lead_gap, co_val);
that()->handle_inserted(prior_, inserted_);
}
// . . . --------- . . . addend interval
// [-- it_ --) has a common part with the first overval
Combiner()((*it_).second, co_val);
that()->template handle_left_combined<Combiner>(it_++);
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::add_main(interval_type& inter_val, const CodomainT& co_val,
iterator& it_, const iterator& last_)
{
interval_type cur_interval;
while(it_!=last_)
{
cur_interval = (*it_).first ;
add_segment<Combiner>(inter_val, co_val, it_);
// shrink interval
inter_val = left_subtract(inter_val, cur_interval);
}
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::add_rear(const interval_type& inter_val, const CodomainT& co_val, iterator& it_)
{
iterator prior_ = cyclic_prior(*that(), it_);
interval_type cur_itv = (*it_).first ;
interval_type lead_gap = right_subtract(inter_val, cur_itv);
if(!icl::is_empty(lead_gap))
{ // [lead_gap--- . . .
// [prior) [-- it_ ...
iterator inserted_ = this->template gap_insert<Combiner>(prior_, lead_gap, co_val);
that()->handle_inserted(prior_, inserted_);
}
interval_type end_gap = left_subtract(inter_val, cur_itv);
if(!icl::is_empty(end_gap))
{
// [----------------end_gap)
// . . . -- it_ --)
Combiner()((*it_).second, co_val);
that()->template gap_insert_at<Combiner>(it_, prior_, end_gap, co_val);
}
else
{
// only for the last there can be a right_resid: a part of *it_ right of x
interval_type right_resid = left_subtract(cur_itv, inter_val);
if(icl::is_empty(right_resid))
{
// [---------------)
// [-- it_ ---)
Combiner()((*it_).second, co_val);
that()->template handle_preceeded_combined<Combiner>(prior_, it_);
}
else
{
// [--------------)
// [-- it_ --right_resid)
const_cast<interval_type&>((*it_).first) = right_subtract((*it_).first, right_resid);
//NOTE: This is NOT an insertion that has to take care for correct application of
// the Combiner functor. It only reestablished that state after splitting the
// 'it_' interval value pair. Using _map_insert<Combiner> does not work here.
iterator insertion_ = this->_map.insert(it_, value_type(right_resid, (*it_).second));
that()->handle_reinserted(insertion_);
Combiner()((*it_).second, co_val);
that()->template handle_preceeded_combined<Combiner>(insertion_, it_);
}
}
}
//==============================================================================
//= Addition
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline typename interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>::iterator
interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::_add(const segment_type& addend)
{
typedef typename on_absorbtion<type,Combiner,
absorbs_identities<type>::value>::type on_absorbtion_;
const interval_type& inter_val = addend.first;
if(icl::is_empty(inter_val))
return this->_map.end();
const codomain_type& co_val = addend.second;
if(on_absorbtion_::is_absorbable(co_val))
return this->_map.end();
std::pair<iterator,bool> insertion
= this->_map.insert(value_type(inter_val, version<Combiner>()(co_val)));
if(insertion.second)
return that()->handle_inserted(insertion.first);
else
{
// Detect the first and the end iterator of the collision sequence
iterator first_ = this->_map.lower_bound(inter_val),
last_ = prior(this->_map.upper_bound(inter_val));
//assert(end_ == this->_map.upper_bound(inter_val));
iterator it_ = first_;
interval_type rest_interval = inter_val;
add_front (rest_interval, it_ );
add_main<Combiner>(rest_interval, co_val, it_, last_);
add_rear<Combiner>(rest_interval, co_val, it_ );
return it_;
}
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline typename interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>::iterator
interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::_add(iterator prior_, const segment_type& addend)
{
typedef typename on_absorbtion<type,Combiner,
absorbs_identities<type>::value>::type on_absorbtion_;
const interval_type& inter_val = addend.first;
if(icl::is_empty(inter_val))
return prior_;
const codomain_type& co_val = addend.second;
if(on_absorbtion_::is_absorbable(co_val))
return prior_;
std::pair<iterator,bool> insertion
= add_at<Combiner>(prior_, inter_val, co_val);
if(insertion.second)
return that()->handle_inserted(insertion.first);
else
{
// Detect the first and the end iterator of the collision sequence
std::pair<iterator,iterator> overlap = equal_range(inter_val);
iterator it_ = overlap.first,
last_ = prior(overlap.second);
interval_type rest_interval = inter_val;
add_front (rest_interval, it_ );
add_main<Combiner>(rest_interval, co_val, it_, last_);
add_rear<Combiner>(rest_interval, co_val, it_ );
return it_;
}
}
//==============================================================================
//= Subtraction detail
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::subtract_front(const interval_type& inter_val, iterator& it_)
{
interval_type left_resid = right_subtract((*it_).first, inter_val);
if(!icl::is_empty(left_resid)) // [--- inter_val ---)
{ //[prior_) [left_resid)[--- it_ . . .
iterator prior_ = cyclic_prior(*this, it_);
const_cast<interval_type&>((*it_).first) = left_subtract((*it_).first, left_resid);
this->_map.insert(prior_, value_type(left_resid, (*it_).second));
// The segemnt *it_ is split at inter_val.first(), so as an invariant
// segment *it_ is always "under" inter_val and a left_resid is empty.
}
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::subtract_main(const CodomainT& co_val, iterator& it_, const iterator& last_)
{
while(it_ != last_)
{
Combiner()((*it_).second, co_val);
that()->template handle_left_combined<Combiner>(it_++);
}
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::subtract_rear(interval_type& inter_val, const CodomainT& co_val, iterator& it_)
{
interval_type right_resid = left_subtract((*it_).first, inter_val);
if(icl::is_empty(right_resid))
{
Combiner()((*it_).second, co_val);
that()->template handle_combined<Combiner>(it_);
}
else
{
const_cast<interval_type&>((*it_).first) = right_subtract((*it_).first, right_resid);
iterator next_ = this->_map.insert(it_, value_type(right_resid, (*it_).second));
Combiner()((*it_).second, co_val);
that()->template handle_succeeded_combined<Combiner>(it_, next_);
}
}
//==============================================================================
//= Subtraction
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
template<class Combiner>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::_subtract(const segment_type& minuend)
{
interval_type inter_val = minuend.first;
if(icl::is_empty(inter_val))
return;
const codomain_type& co_val = minuend.second;
if(on_absorbtion<type,Combiner,Traits::absorbs_identities>::is_absorbable(co_val))
return;
std::pair<iterator, iterator> exterior = equal_range(inter_val);
if(exterior.first == exterior.second)
return;
iterator last_ = prior(exterior.second);
iterator it_ = exterior.first;
subtract_front (inter_val, it_ );
subtract_main <Combiner>( co_val, it_, last_);
subtract_rear <Combiner>(inter_val, co_val, it_ );
}
//==============================================================================
//= Insertion
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::insert_main(const interval_type& inter_val, const CodomainT& co_val,
iterator& it_, const iterator& last_)
{
iterator end_ = boost::next(last_);
iterator prior_ = cyclic_prior(*this,it_), inserted_;
interval_type rest_interval = inter_val, left_gap, cur_itv;
interval_type last_interval = last_ ->first;
while(it_ != end_ )
{
cur_itv = (*it_).first ;
left_gap = right_subtract(rest_interval, cur_itv);
if(!icl::is_empty(left_gap))
{
inserted_ = this->_map.insert(prior_, value_type(left_gap, co_val));
it_ = that()->handle_inserted(inserted_);
}
// shrink interval
rest_interval = left_subtract(rest_interval, cur_itv);
prior_ = it_;
++it_;
}
//insert_rear(rest_interval, co_val, last_):
interval_type end_gap = left_subtract(rest_interval, last_interval);
if(!icl::is_empty(end_gap))
{
inserted_ = this->_map.insert(prior_, value_type(end_gap, co_val));
it_ = that()->handle_inserted(inserted_);
}
else
it_ = prior_;
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline typename interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>::iterator
interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::_insert(const segment_type& addend)
{
interval_type inter_val = addend.first;
if(icl::is_empty(inter_val))
return this->_map.end();
const codomain_type& co_val = addend.second;
if(on_codomain_absorbtion::is_absorbable(co_val))
return this->_map.end();
std::pair<iterator,bool> insertion = this->_map.insert(addend);
if(insertion.second)
return that()->handle_inserted(insertion.first);
else
{
// Detect the first and the end iterator of the collision sequence
iterator first_ = this->_map.lower_bound(inter_val),
last_ = prior(this->_map.upper_bound(inter_val));
//assert((++last_) == this->_map.upper_bound(inter_val));
iterator it_ = first_;
insert_main(inter_val, co_val, it_, last_);
return it_;
}
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline typename interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>::iterator
interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::_insert(iterator prior_, const segment_type& addend)
{
interval_type inter_val = addend.first;
if(icl::is_empty(inter_val))
return prior_;
const codomain_type& co_val = addend.second;
if(on_codomain_absorbtion::is_absorbable(co_val))
return prior_;
std::pair<iterator,bool> insertion = insert_at(prior_, inter_val, co_val);
if(insertion.second)
return that()->handle_inserted(insertion.first);
{
// Detect the first and the end iterator of the collision sequence
std::pair<iterator,iterator> overlap = equal_range(inter_val);
iterator it_ = overlap.first,
last_ = prior(overlap.second);
insert_main(inter_val, co_val, it_, last_);
return it_;
}
}
//==============================================================================
//= Erasure segment_type
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline void interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::erase_rest(interval_type& inter_val, const CodomainT& co_val,
iterator& it_, const iterator& last_)
{
// For all intervals within loop: (*it_).first are contained_in inter_val
while(it_ != last_)
if((*it_).second == co_val)
this->_map.erase(it_++);
else it_++;
//erase_rear:
if((*it_).second == co_val)
{
interval_type right_resid = left_subtract((*it_).first, inter_val);
if(icl::is_empty(right_resid))
this->_map.erase(it_);
else
const_cast<interval_type&>((*it_).first) = right_resid;
}
}
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline SubType& interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::erase(const segment_type& minuend)
{
interval_type inter_val = minuend.first;
if(icl::is_empty(inter_val))
return *that();
const codomain_type& co_val = minuend.second;
if(on_codomain_absorbtion::is_absorbable(co_val))
return *that();
std::pair<iterator,iterator> exterior = equal_range(inter_val);
if(exterior.first == exterior.second)
return *that();
iterator first_ = exterior.first, end_ = exterior.second,
last_ = cyclic_prior(*this, end_);
iterator second_= first_; ++second_;
if(first_ == last_)
{ // [----inter_val----)
// .....first_==last_.....
// only for the last there can be a right_resid: a part of *it_ right of minuend
interval_type right_resid = left_subtract((*first_).first, inter_val);
if((*first_).second == co_val)
{
interval_type left_resid = right_subtract((*first_).first, inter_val);
if(!icl::is_empty(left_resid)) // [----inter_val----)
{ // [left_resid)..first_==last_......
const_cast<interval_type&>((*first_).first) = left_resid;
if(!icl::is_empty(right_resid))
this->_map.insert(first_, value_type(right_resid, co_val));
}
else if(!icl::is_empty(right_resid))
const_cast<interval_type&>((*first_).first) = right_resid;
else
this->_map.erase(first_);
}
}
else
{
// first AND NOT last
if((*first_).second == co_val)
{
interval_type left_resid = right_subtract((*first_).first, inter_val);
if(icl::is_empty(left_resid))
this->_map.erase(first_);
else
const_cast<interval_type&>((*first_).first) = left_resid;
}
erase_rest(inter_val, co_val, second_, last_);
}
return *that();
}
//==============================================================================
//= Erasure key_type
//==============================================================================
template <class SubType, class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
inline SubType& interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc>
::erase(const interval_type& minuend)
{
if(icl::is_empty(minuend))
return *that();
std::pair<iterator, iterator> exterior = equal_range(minuend);
if(exterior.first == exterior.second)
return *that();
iterator first_ = exterior.first,
end_ = exterior.second,
last_ = prior(end_);
interval_type left_resid = right_subtract((*first_).first, minuend);
interval_type right_resid = left_subtract(last_ ->first, minuend);
if(first_ == last_ )
if(!icl::is_empty(left_resid))
{
const_cast<interval_type&>((*first_).first) = left_resid;
if(!icl::is_empty(right_resid))
this->_map.insert(first_, value_type(right_resid, (*first_).second));
}
else if(!icl::is_empty(right_resid))
const_cast<interval_type&>((*first_).first) = left_subtract((*first_).first, minuend);
else
this->_map.erase(first_);
else
{ // [-------- minuend ---------)
// [left_resid fst) . . . . [lst right_resid)
iterator second_= first_; ++second_;
iterator start_ = icl::is_empty(left_resid)? first_: second_;
iterator stop_ = icl::is_empty(right_resid)? end_ : last_ ;
this->_map.erase(start_, stop_); //erase [start_, stop_)
if(!icl::is_empty(left_resid))
const_cast<interval_type&>((*first_).first) = left_resid;
if(!icl::is_empty(right_resid))
const_cast<interval_type&>(last_ ->first) = right_resid;
}
return *that();
}
//-----------------------------------------------------------------------------
// type traits
//-----------------------------------------------------------------------------
template
<
class SubType,
class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc
>
struct is_map<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> >
{
typedef is_map<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> > type;
BOOST_STATIC_CONSTANT(bool, value = true);
};
template
<
class SubType,
class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc
>
struct has_inverse<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> >
{
typedef has_inverse<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> > type;
BOOST_STATIC_CONSTANT(bool, value = (has_inverse<CodomainT>::value));
};
template
<
class SubType,
class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc
>
struct is_interval_container<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> >
{
typedef is_interval_container<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> > type;
BOOST_STATIC_CONSTANT(bool, value = true);
};
template
<
class SubType,
class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc
>
struct absorbs_identities<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> >
{
typedef absorbs_identities<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> > type;
BOOST_STATIC_CONSTANT(bool, value = (Traits::absorbs_identities));
};
template
<
class SubType,
class DomainT, class CodomainT, class Traits, ICL_COMPARE Compare, ICL_COMBINE Combine, ICL_SECTION Section, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc
>
struct is_total<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> >
{
typedef is_total<icl::interval_base_map<SubType,DomainT,CodomainT,Traits,Compare,Combine,Section,Interval,Alloc> > type;
BOOST_STATIC_CONSTANT(bool, value = (Traits::is_total));
};
}} // namespace icl boost
#endif
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