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// Boost.Geometry (aka GGL, Generic Geometry Library)
// Copyright (c) 2011 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/geometry/algorithms/assign.hpp>
#include <boost/range/algorithm/copy.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, int min_elements,
Policy& policy, VisitBoxPolicy& box_policy)
{
if (boost::size(input) > 0)
{
if (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,
int 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, int min_elements,
Policy& policy, VisitBoxPolicy& box_policy)
{
if (boost::size(input1) > 0 && boost::size(input2) > 0)
{
if (boost::size(input1) > min_elements
&& 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,
int 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,
int min_elements = 16,
VisitBoxPolicy box_visitor = visit_no_policy()
)
{
if (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,
int min_elements = 16,
VisitBoxPolicy box_visitor = visit_no_policy()
)
{
if (boost::size(collection1) > min_elements && 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_RING_IDENTIFIER_HPP