123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425 |
- // Boost.Geometry (aka GGL, Generic Geometry Library)
- // Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
- // Use, modification and distribution is subject to the Boost Software License,
- // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
- // http://www.boost.org/LICENSE_1_0.txt)
- #ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
- #define BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
- #include <vector>
- #include <boost/range/algorithm/copy.hpp>
- #include <boost/geometry/algorithms/assign.hpp>
- #include <boost/geometry/core/coordinate_type.hpp>
- namespace boost { namespace geometry
- {
- namespace detail { namespace partition
- {
- typedef std::vector<std::size_t> index_vector_type;
- template <int Dimension, typename Box>
- inline void divide_box(Box const& box, Box& lower_box, Box& upper_box)
- {
- typedef typename coordinate_type<Box>::type ctype;
- // Divide input box into two parts, e.g. left/right
- ctype two = 2;
- ctype mid = (geometry::get<min_corner, Dimension>(box)
- + geometry::get<max_corner, Dimension>(box)) / two;
- lower_box = box;
- upper_box = box;
- geometry::set<max_corner, Dimension>(lower_box, mid);
- geometry::set<min_corner, Dimension>(upper_box, mid);
- }
- // Divide collection into three subsets: lower, upper and oversized
- // (not-fitting)
- // (lower == left or bottom, upper == right or top)
- template <typename OverlapsPolicy, typename InputCollection, typename Box>
- static inline void divide_into_subsets(Box const& lower_box,
- Box const& upper_box,
- InputCollection const& collection,
- index_vector_type const& input,
- index_vector_type& lower,
- index_vector_type& upper,
- index_vector_type& exceeding)
- {
- typedef boost::range_iterator
- <
- index_vector_type const
- >::type index_iterator_type;
- for(index_iterator_type it = boost::begin(input);
- it != boost::end(input);
- ++it)
- {
- bool const lower_overlapping = OverlapsPolicy::apply(lower_box,
- collection[*it]);
- bool const upper_overlapping = OverlapsPolicy::apply(upper_box,
- collection[*it]);
- if (lower_overlapping && upper_overlapping)
- {
- exceeding.push_back(*it);
- }
- else if (lower_overlapping)
- {
- lower.push_back(*it);
- }
- else if (upper_overlapping)
- {
- upper.push_back(*it);
- }
- else
- {
- // Is nowhere! Should not occur!
- BOOST_ASSERT(true);
- }
- }
- }
- // Match collection with itself
- template <typename InputCollection, typename Policy>
- static inline void handle_one(InputCollection const& collection,
- index_vector_type const& input,
- Policy& policy)
- {
- typedef boost::range_iterator<index_vector_type const>::type
- index_iterator_type;
- // Quadratic behaviour at lowest level (lowest quad, or all exceeding)
- for(index_iterator_type it1 = boost::begin(input);
- it1 != boost::end(input);
- ++it1)
- {
- index_iterator_type it2 = it1;
- for(++it2; it2 != boost::end(input); ++it2)
- {
- policy.apply(collection[*it1], collection[*it2]);
- }
- }
- }
- // Match collection 1 with collection 2
- template <typename InputCollection, typename Policy>
- static inline void handle_two(
- InputCollection const& collection1, index_vector_type const& input1,
- InputCollection const& collection2, index_vector_type const& input2,
- Policy& policy)
- {
- typedef boost::range_iterator
- <
- index_vector_type const
- >::type index_iterator_type;
- for(index_iterator_type it1 = boost::begin(input1);
- it1 != boost::end(input1);
- ++it1)
- {
- for(index_iterator_type it2 = boost::begin(input2);
- it2 != boost::end(input2);
- ++it2)
- {
- policy.apply(collection1[*it1], collection2[*it2]);
- }
- }
- }
- template
- <
- int Dimension,
- typename Box,
- typename OverlapsPolicy,
- typename VisitBoxPolicy
- >
- class partition_one_collection
- {
- typedef std::vector<std::size_t> index_vector_type;
- typedef typename coordinate_type<Box>::type ctype;
- typedef partition_one_collection
- <
- 1 - Dimension,
- Box,
- OverlapsPolicy,
- VisitBoxPolicy
- > sub_divide;
- template <typename InputCollection, typename Policy>
- static inline void next_level(Box const& box,
- InputCollection const& collection,
- index_vector_type const& input,
- int level, std::size_t min_elements,
- Policy& policy, VisitBoxPolicy& box_policy)
- {
- if (boost::size(input) > 0)
- {
- if (std::size_t(boost::size(input)) > min_elements && level < 100)
- {
- sub_divide::apply(box, collection, input, level + 1,
- min_elements, policy, box_policy);
- }
- else
- {
- handle_one(collection, input, policy);
- }
- }
- }
- public :
- template <typename InputCollection, typename Policy>
- static inline void apply(Box const& box,
- InputCollection const& collection,
- index_vector_type const& input,
- int level,
- std::size_t min_elements,
- Policy& policy, VisitBoxPolicy& box_policy)
- {
- box_policy.apply(box, level);
- Box lower_box, upper_box;
- divide_box<Dimension>(box, lower_box, upper_box);
- index_vector_type lower, upper, exceeding;
- divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection,
- input, lower, upper, exceeding);
- if (boost::size(exceeding) > 0)
- {
- // All what is not fitting a partition should be combined
- // with each other, and with all which is fitting.
- handle_one(collection, exceeding, policy);
- handle_two(collection, exceeding, collection, lower, policy);
- handle_two(collection, exceeding, collection, upper, policy);
- }
- // Recursively call operation both parts
- next_level(lower_box, collection, lower, level, min_elements,
- policy, box_policy);
- next_level(upper_box, collection, upper, level, min_elements,
- policy, box_policy);
- }
- };
- template
- <
- int Dimension,
- typename Box,
- typename OverlapsPolicy,
- typename VisitBoxPolicy
- >
- class partition_two_collections
- {
- typedef std::vector<std::size_t> index_vector_type;
- typedef typename coordinate_type<Box>::type ctype;
- typedef partition_two_collections
- <
- 1 - Dimension,
- Box,
- OverlapsPolicy,
- VisitBoxPolicy
- > sub_divide;
- template <typename InputCollection, typename Policy>
- static inline void next_level(Box const& box,
- InputCollection const& collection1,
- index_vector_type const& input1,
- InputCollection const& collection2,
- index_vector_type const& input2,
- int level, std::size_t min_elements,
- Policy& policy, VisitBoxPolicy& box_policy)
- {
- if (boost::size(input1) > 0 && boost::size(input2) > 0)
- {
- if (std::size_t(boost::size(input1)) > min_elements
- && std::size_t(boost::size(input2)) > min_elements
- && level < 100)
- {
- sub_divide::apply(box, collection1, input1, collection2,
- input2, level + 1, min_elements,
- policy, box_policy);
- }
- else
- {
- box_policy.apply(box, level + 1);
- handle_two(collection1, input1, collection2, input2, policy);
- }
- }
- }
- public :
- template <typename InputCollection, typename Policy>
- static inline void apply(Box const& box,
- InputCollection const& collection1, index_vector_type const& input1,
- InputCollection const& collection2, index_vector_type const& input2,
- int level,
- std::size_t min_elements,
- Policy& policy, VisitBoxPolicy& box_policy)
- {
- box_policy.apply(box, level);
- Box lower_box, upper_box;
- divide_box<Dimension>(box, lower_box, upper_box);
- index_vector_type lower1, upper1, exceeding1;
- index_vector_type lower2, upper2, exceeding2;
- divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection1,
- input1, lower1, upper1, exceeding1);
- divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection2,
- input2, lower2, upper2, exceeding2);
- if (boost::size(exceeding1) > 0)
- {
- // All exceeding from 1 with 2:
- handle_two(collection1, exceeding1, collection2, exceeding2,
- policy);
- // All exceeding from 1 with lower and upper of 2:
- handle_two(collection1, exceeding1, collection2, lower2, policy);
- handle_two(collection1, exceeding1, collection2, upper2, policy);
- }
- if (boost::size(exceeding2) > 0)
- {
- // All exceeding from 2 with lower and upper of 1:
- handle_two(collection1, lower1, collection2, exceeding2, policy);
- handle_two(collection1, upper1, collection2, exceeding2, policy);
- }
- next_level(lower_box, collection1, lower1, collection2, lower2, level,
- min_elements, policy, box_policy);
- next_level(upper_box, collection1, upper1, collection2, upper2, level,
- min_elements, policy, box_policy);
- }
- };
- }} // namespace detail::partition
- struct visit_no_policy
- {
- template <typename Box>
- static inline void apply(Box const&, int )
- {}
- };
- template
- <
- typename Box,
- typename ExpandPolicy,
- typename OverlapsPolicy,
- typename VisitBoxPolicy = visit_no_policy
- >
- class partition
- {
- typedef std::vector<std::size_t> index_vector_type;
- template <typename InputCollection>
- static inline void expand_to_collection(InputCollection const& collection,
- Box& total, index_vector_type& index_vector)
- {
- std::size_t index = 0;
- for(typename boost::range_iterator<InputCollection const>::type it
- = boost::begin(collection);
- it != boost::end(collection);
- ++it, ++index)
- {
- ExpandPolicy::apply(total, *it);
- index_vector.push_back(index);
- }
- }
- public :
- template <typename InputCollection, typename VisitPolicy>
- static inline void apply(InputCollection const& collection,
- VisitPolicy& visitor,
- std::size_t min_elements = 16,
- VisitBoxPolicy box_visitor = visit_no_policy()
- )
- {
- if (std::size_t(boost::size(collection)) > min_elements)
- {
- index_vector_type index_vector;
- Box total;
- assign_inverse(total);
- expand_to_collection(collection, total, index_vector);
- detail::partition::partition_one_collection
- <
- 0, Box,
- OverlapsPolicy,
- VisitBoxPolicy
- >::apply(total, collection, index_vector, 0, min_elements,
- visitor, box_visitor);
- }
- else
- {
- typedef typename boost::range_iterator
- <
- InputCollection const
- >::type iterator_type;
- for(iterator_type it1 = boost::begin(collection);
- it1 != boost::end(collection);
- ++it1)
- {
- iterator_type it2 = it1;
- for(++it2; it2 != boost::end(collection); ++it2)
- {
- visitor.apply(*it1, *it2);
- }
- }
- }
- }
- template <typename InputCollection, typename VisitPolicy>
- static inline void apply(InputCollection const& collection1,
- InputCollection const& collection2,
- VisitPolicy& visitor,
- std::size_t min_elements = 16,
- VisitBoxPolicy box_visitor = visit_no_policy()
- )
- {
- if (std::size_t(boost::size(collection1)) > min_elements
- && std::size_t(boost::size(collection2)) > min_elements)
- {
- index_vector_type index_vector1, index_vector2;
- Box total;
- assign_inverse(total);
- expand_to_collection(collection1, total, index_vector1);
- expand_to_collection(collection2, total, index_vector2);
- detail::partition::partition_two_collections
- <
- 0, Box, OverlapsPolicy, VisitBoxPolicy
- >::apply(total,
- collection1, index_vector1,
- collection2, index_vector2,
- 0, min_elements, visitor, box_visitor);
- }
- else
- {
- typedef typename boost::range_iterator
- <
- InputCollection const
- >::type iterator_type;
- for(iterator_type it1 = boost::begin(collection1);
- it1 != boost::end(collection1);
- ++it1)
- {
- for(iterator_type it2 = boost::begin(collection2);
- it2 != boost::end(collection2);
- ++it2)
- {
- visitor.apply(*it1, *it2);
- }
- }
- }
- }
- };
- }} // namespace boost::geometry
- #endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
|