1 // Boost.Geometry Index
2 //
3 // R-tree inserting visitor implementation
4 //
5 // Copyright (c) 2011-2015 Adam Wulkiewicz, Lodz, Poland.
6 //
7 // Use, modification and distribution is subject to the Boost Software License,
8 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
9 // http://www.boost.org/LICENSE_1_0.txt)
10 
11 #ifndef BOOST_GEOMETRY_INDEX_DETAIL_RTREE_VISITORS_INSERT_HPP
12 #define BOOST_GEOMETRY_INDEX_DETAIL_RTREE_VISITORS_INSERT_HPP
13 
14 #include <boost/type_traits/is_same.hpp>
15 
16 #include <boost/geometry/algorithms/detail/expand_by_epsilon.hpp>
17 #include <boost/geometry/util/condition.hpp>
18 
19 #include <boost/geometry/index/detail/algorithms/content.hpp>
20 
21 namespace boost { namespace geometry { namespace index {
22 
23 namespace detail { namespace rtree {
24 
25 // Default choose_next_node
26 template <typename Value, typename Options, typename Box, typename Allocators, typename ChooseNextNodeTag>
27 class choose_next_node;
28 
29 template <typename Value, typename Options, typename Box, typename Allocators>
30 class choose_next_node<Value, Options, Box, Allocators, choose_by_content_diff_tag>
31 {
32 public:
33     typedef typename Options::parameters_type parameters_type;
34 
35     typedef typename rtree::node<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type node;
36     typedef typename rtree::internal_node<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type internal_node;
37     typedef typename rtree::leaf<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type leaf;
38 
39     typedef typename rtree::elements_type<internal_node>::type children_type;
40 
41     typedef typename index::detail::default_content_result<Box>::type content_type;
42 
43     template <typename Indexable>
apply(internal_node & n,Indexable const & indexable,parameters_type const &,size_t)44     static inline size_t apply(internal_node & n,
45                                Indexable const& indexable,
46                                parameters_type const& /*parameters*/,
47                                size_t /*node_relative_level*/)
48     {
49         children_type & children = rtree::elements(n);
50 
51         BOOST_GEOMETRY_INDEX_ASSERT(!children.empty(), "can't choose the next node if children are empty");
52 
53         size_t children_count = children.size();
54 
55         // choose index with smallest content change or smallest content
56         size_t choosen_index = 0;
57         content_type smallest_content_diff = (std::numeric_limits<content_type>::max)();
58         content_type smallest_content = (std::numeric_limits<content_type>::max)();
59 
60         // caculate areas and areas of all nodes' boxes
61         for ( size_t i = 0 ; i < children_count ; ++i )
62         {
63             typedef typename children_type::value_type child_type;
64             child_type const& ch_i = children[i];
65 
66             // expanded child node's box
67             Box box_exp(ch_i.first);
68             geometry::expand(box_exp, indexable);
69 
70             // areas difference
71             content_type content = index::detail::content(box_exp);
72             content_type content_diff = content - index::detail::content(ch_i.first);
73 
74             // update the result
75             if ( content_diff < smallest_content_diff ||
76                 ( content_diff == smallest_content_diff && content < smallest_content ) )
77             {
78                 smallest_content_diff = content_diff;
79                 smallest_content = content;
80                 choosen_index = i;
81             }
82         }
83 
84         return choosen_index;
85     }
86 };
87 
88 // ----------------------------------------------------------------------- //
89 
90 // Not implemented here
91 template <typename Value, typename Options, typename Translator, typename Box, typename Allocators, typename RedistributeTag>
92 struct redistribute_elements
93 {
94     BOOST_MPL_ASSERT_MSG(
95         (false),
96         NOT_IMPLEMENTED_FOR_THIS_REDISTRIBUTE_TAG_TYPE,
97         (redistribute_elements));
98 };
99 
100 // ----------------------------------------------------------------------- //
101 
102 // Split algorithm
103 template <typename Value, typename Options, typename Translator, typename Box, typename Allocators, typename SplitTag>
104 class split
105 {
106     BOOST_MPL_ASSERT_MSG(
107         (false),
108         NOT_IMPLEMENTED_FOR_THIS_SPLIT_TAG_TYPE,
109         (split));
110 };
111 
112 // Default split algorithm
113 template <typename Value, typename Options, typename Translator, typename Box, typename Allocators>
114 class split<Value, Options, Translator, Box, Allocators, split_default_tag>
115 {
116 protected:
117     typedef typename Options::parameters_type parameters_type;
118 
119     typedef typename rtree::node<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type node;
120     typedef typename rtree::internal_node<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type internal_node;
121     typedef typename rtree::leaf<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type leaf;
122 
123     typedef rtree::subtree_destroyer<Value, Options, Translator, Box, Allocators> subtree_destroyer;
124 
125 public:
126     typedef index::detail::varray<
127         typename rtree::elements_type<internal_node>::type::value_type,
128         1
129     > nodes_container_type;
130 
131     template <typename Node>
apply(nodes_container_type & additional_nodes,Node & n,Box & n_box,parameters_type const & parameters,Translator const & translator,Allocators & allocators)132     static inline void apply(nodes_container_type & additional_nodes,
133                              Node & n,
134                              Box & n_box,
135                              parameters_type const& parameters,
136                              Translator const& translator,
137                              Allocators & allocators)
138     {
139         // TODO - consider creating nodes always with sufficient memory allocated
140 
141         // create additional node, use auto destroyer for automatic destruction on exception
142         subtree_destroyer second_node(rtree::create_node<Allocators, Node>::apply(allocators), allocators);     // MAY THROW, STRONG (N: alloc)
143         // create reference to the newly created node
144         Node & n2 = rtree::get<Node>(*second_node);
145 
146         // NOTE: thread-safety
147         // After throwing an exception by redistribute_elements the original node may be not changed or
148         // both nodes may be empty. In both cases the tree won't be valid r-tree.
149         // The alternative is to create 2 (or more) additional nodes here and store backup info
150         // in the original node, then, if exception was thrown, the node would always have more than max
151         // elements.
152         // The alternative is to use moving semantics in the implementations of redistribute_elements,
153         // it will be possible to throw from boost::move() in the case of e.g. static size nodes.
154 
155         // redistribute elements
156         Box box2;
157         redistribute_elements<
158             Value,
159             Options,
160             Translator,
161             Box,
162             Allocators,
163             typename Options::redistribute_tag
164         >::apply(n, n2, n_box, box2, parameters, translator, allocators);                                   // MAY THROW (V, E: alloc, copy, copy)
165 
166         // check numbers of elements
167         BOOST_GEOMETRY_INDEX_ASSERT(parameters.get_min_elements() <= rtree::elements(n).size() &&
168             rtree::elements(n).size() <= parameters.get_max_elements(),
169             "unexpected number of elements");
170         BOOST_GEOMETRY_INDEX_ASSERT(parameters.get_min_elements() <= rtree::elements(n2).size() &&
171             rtree::elements(n2).size() <= parameters.get_max_elements(),
172             "unexpected number of elements");
173 
174         // return the list of newly created nodes (this algorithm returns one)
175         additional_nodes.push_back(rtree::make_ptr_pair(box2, second_node.get()));                           // MAY THROW, STRONG (alloc, copy)
176 
177         // release the ptr
178         second_node.release();
179     }
180 };
181 
182 // ----------------------------------------------------------------------- //
183 
184 namespace visitors { namespace detail {
185 
186 template <typename InternalNode, typename InternalNodePtr, typename SizeType>
187 struct insert_traverse_data
188 {
189     typedef typename rtree::elements_type<InternalNode>::type elements_type;
190     typedef typename elements_type::value_type element_type;
191     typedef typename elements_type::size_type elements_size_type;
192     typedef SizeType size_type;
193 
insert_traverse_databoost::geometry::index::detail::rtree::visitors::detail::insert_traverse_data194     insert_traverse_data()
195         : parent(0), current_child_index(0), current_level(0)
196     {}
197 
move_to_next_levelboost::geometry::index::detail::rtree::visitors::detail::insert_traverse_data198     void move_to_next_level(InternalNodePtr new_parent,
199                             elements_size_type new_child_index)
200     {
201         parent = new_parent;
202         current_child_index = new_child_index;
203         ++current_level;
204     }
205 
current_is_rootboost::geometry::index::detail::rtree::visitors::detail::insert_traverse_data206     bool current_is_root() const
207     {
208         return 0 == parent;
209     }
210 
parent_elementsboost::geometry::index::detail::rtree::visitors::detail::insert_traverse_data211     elements_type & parent_elements() const
212     {
213         BOOST_GEOMETRY_INDEX_ASSERT(parent, "null pointer");
214         return rtree::elements(*parent);
215     }
216 
current_elementboost::geometry::index::detail::rtree::visitors::detail::insert_traverse_data217     element_type & current_element() const
218     {
219         BOOST_GEOMETRY_INDEX_ASSERT(parent, "null pointer");
220         return rtree::elements(*parent)[current_child_index];
221     }
222 
223     InternalNodePtr parent;
224     elements_size_type current_child_index;
225     size_type current_level;
226 };
227 
228 // Default insert visitor
229 template <typename Element, typename Value, typename Options, typename Translator, typename Box, typename Allocators>
230 class insert
231     : public rtree::visitor<Value, typename Options::parameters_type, Box, Allocators, typename Options::node_tag, false>::type
232 {
233 protected:
234     typedef typename Options::parameters_type parameters_type;
235 
236     typedef typename rtree::node<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type node;
237     typedef typename rtree::internal_node<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type internal_node;
238     typedef typename rtree::leaf<Value, parameters_type, Box, Allocators, typename Options::node_tag>::type leaf;
239 
240     typedef rtree::subtree_destroyer<Value, Options, Translator, Box, Allocators> subtree_destroyer;
241     typedef typename Allocators::node_pointer node_pointer;
242     typedef typename Allocators::size_type size_type;
243 
244     //typedef typename Allocators::internal_node_pointer internal_node_pointer;
245     typedef internal_node * internal_node_pointer;
246 
insert(node_pointer & root,size_type & leafs_level,Element const & element,parameters_type const & parameters,Translator const & translator,Allocators & allocators,size_type relative_level=0)247     inline insert(node_pointer & root,
248                   size_type & leafs_level,
249                   Element const& element,
250                   parameters_type const& parameters,
251                   Translator const& translator,
252                   Allocators & allocators,
253                   size_type relative_level = 0
254     )
255         : m_element(element)
256         , m_parameters(parameters)
257         , m_translator(translator)
258         , m_relative_level(relative_level)
259         , m_level(leafs_level - relative_level)
260         , m_root_node(root)
261         , m_leafs_level(leafs_level)
262         , m_traverse_data()
263         , m_allocators(allocators)
264     {
265         BOOST_GEOMETRY_INDEX_ASSERT(m_relative_level <= leafs_level, "unexpected level value");
266         BOOST_GEOMETRY_INDEX_ASSERT(m_level <= m_leafs_level, "unexpected level value");
267         BOOST_GEOMETRY_INDEX_ASSERT(0 != m_root_node, "there is no root node");
268         // TODO
269         // assert - check if Box is correct
270 
271         // When a value is inserted, during the tree traversal bounds of nodes
272         // on a path from the root to a leaf must be expanded. So prepare
273         // a bounding object at the beginning to not do it later for each node.
274         // NOTE: This is actually only needed because conditionally the bounding
275         //       object may be expanded below. Otherwise the indexable could be
276         //       directly used instead
277         index::detail::bounds(rtree::element_indexable(m_element, m_translator), m_element_bounds);
278 
279 #ifdef BOOST_GEOMETRY_INDEX_EXPERIMENTAL_ENLARGE_BY_EPSILON
280         // Enlarge it in case if it's not bounding geometry type.
281         // It's because Points and Segments are compared WRT machine epsilon
282         // This ensures that leafs bounds correspond to the stored elements
283         if (BOOST_GEOMETRY_CONDITION((
284                 boost::is_same<Element, Value>::value
285              && ! index::detail::is_bounding_geometry
286                     <
287                         typename indexable_type<Translator>::type
288                     >::value )) )
289         {
290             geometry::detail::expand_by_epsilon(m_element_bounds);
291         }
292 #endif
293     }
294 
295     template <typename Visitor>
traverse(Visitor & visitor,internal_node & n)296     inline void traverse(Visitor & visitor, internal_node & n)
297     {
298         // choose next node
299         size_t choosen_node_index = rtree::choose_next_node<Value, Options, Box, Allocators, typename Options::choose_next_node_tag>::
300             apply(n, rtree::element_indexable(m_element, m_translator), m_parameters, m_leafs_level - m_traverse_data.current_level);
301 
302         // expand the node to contain value
303         geometry::expand(
304             rtree::elements(n)[choosen_node_index].first,
305             m_element_bounds
306             /*rtree::element_indexable(m_element, m_translator)*/);
307 
308         // next traversing step
309         traverse_apply_visitor(visitor, n, choosen_node_index);                                                 // MAY THROW (V, E: alloc, copy, N:alloc)
310     }
311 
312     // TODO: awulkiew - change post_traverse name to handle_overflow or overflow_treatment?
313 
314     template <typename Node>
post_traverse(Node & n)315     inline void post_traverse(Node &n)
316     {
317         BOOST_GEOMETRY_INDEX_ASSERT(m_traverse_data.current_is_root() ||
318                                     &n == &rtree::get<Node>(*m_traverse_data.current_element().second),
319                                     "if node isn't the root current_child_index should be valid");
320 
321         // handle overflow
322         if ( m_parameters.get_max_elements() < rtree::elements(n).size() )
323         {
324             // NOTE: If the exception is thrown current node may contain more than MAX elements or be empty.
325             // Furthermore it may be empty root - internal node.
326             split(n);                                                                                           // MAY THROW (V, E: alloc, copy, N:alloc)
327         }
328     }
329 
330     template <typename Visitor>
traverse_apply_visitor(Visitor & visitor,internal_node & n,size_t choosen_node_index)331     inline void traverse_apply_visitor(Visitor & visitor, internal_node &n, size_t choosen_node_index)
332     {
333         // save previous traverse inputs and set new ones
334         insert_traverse_data<internal_node, internal_node_pointer, size_type>
335             backup_traverse_data = m_traverse_data;
336 
337         // calculate new traverse inputs
338         m_traverse_data.move_to_next_level(&n, choosen_node_index);
339 
340         // next traversing step
341         rtree::apply_visitor(visitor, *rtree::elements(n)[choosen_node_index].second);                          // MAY THROW (V, E: alloc, copy, N:alloc)
342 
343         // restore previous traverse inputs
344         m_traverse_data = backup_traverse_data;
345     }
346 
347     // TODO: consider - split result returned as OutIter is faster than reference to the container. Why?
348 
349     template <typename Node>
split(Node & n) const350     inline void split(Node & n) const
351     {
352         typedef rtree::split<Value, Options, Translator, Box, Allocators, typename Options::split_tag> split_algo;
353 
354         typename split_algo::nodes_container_type additional_nodes;
355         Box n_box;
356 
357         split_algo::apply(additional_nodes, n, n_box, m_parameters, m_translator, m_allocators);                // MAY THROW (V, E: alloc, copy, N:alloc)
358 
359         BOOST_GEOMETRY_INDEX_ASSERT(additional_nodes.size() == 1, "unexpected number of additional nodes");
360 
361         // TODO add all additional nodes
362         // For kmeans algorithm:
363         // elements number may be greater than node max elements count
364         // split and reinsert must take node with some elements count
365         // and container of additional elements (std::pair<Box, node*>s or Values)
366         // and translator + allocators
367         // where node_elements_count + additional_elements > node_max_elements_count
368         // What with elements other than std::pair<Box, node*> ?
369         // Implement template <node_tag> struct node_element_type or something like that
370 
371         // for exception safety
372         subtree_destroyer additional_node_ptr(additional_nodes[0].second, m_allocators);
373 
374 #ifdef BOOST_GEOMETRY_INDEX_EXPERIMENTAL_ENLARGE_BY_EPSILON
375         // Enlarge bounds of a leaf node.
376         // It's because Points and Segments are compared WRT machine epsilon
377         // This ensures that leafs' bounds correspond to the stored elements.
378         if (BOOST_GEOMETRY_CONDITION((
379                 boost::is_same<Node, leaf>::value
380              && ! index::detail::is_bounding_geometry
381                     <
382                         typename indexable_type<Translator>::type
383                     >::value )))
384         {
385             geometry::detail::expand_by_epsilon(n_box);
386             geometry::detail::expand_by_epsilon(additional_nodes[0].first);
387         }
388 #endif
389 
390         // node is not the root - just add the new node
391         if ( !m_traverse_data.current_is_root() )
392         {
393             // update old node's box
394             m_traverse_data.current_element().first = n_box;
395             // add new node to parent's children
396             m_traverse_data.parent_elements().push_back(additional_nodes[0]);                                     // MAY THROW, STRONG (V, E: alloc, copy)
397         }
398         // node is the root - add level
399         else
400         {
401             BOOST_GEOMETRY_INDEX_ASSERT(&n == &rtree::get<Node>(*m_root_node), "node should be the root");
402 
403             // create new root and add nodes
404             subtree_destroyer new_root(rtree::create_node<Allocators, internal_node>::apply(m_allocators), m_allocators); // MAY THROW, STRONG (N:alloc)
405 
406             BOOST_TRY
407             {
408                 rtree::elements(rtree::get<internal_node>(*new_root)).push_back(rtree::make_ptr_pair(n_box, m_root_node));  // MAY THROW, STRONG (E:alloc, copy)
409                 rtree::elements(rtree::get<internal_node>(*new_root)).push_back(additional_nodes[0]);                 // MAY THROW, STRONG (E:alloc, copy)
410             }
411             BOOST_CATCH(...)
412             {
413                 // clear new root to not delete in the ~subtree_destroyer() potentially stored old root node
414                 rtree::elements(rtree::get<internal_node>(*new_root)).clear();
415                 BOOST_RETHROW                                                                                           // RETHROW
416             }
417             BOOST_CATCH_END
418 
419             m_root_node = new_root.get();
420             ++m_leafs_level;
421 
422             new_root.release();
423         }
424 
425         additional_node_ptr.release();
426     }
427 
428     // TODO: awulkiew - implement dispatchable split::apply to enable additional nodes creation
429 
430     Element const& m_element;
431     Box m_element_bounds;
432     parameters_type const& m_parameters;
433     Translator const& m_translator;
434     size_type const m_relative_level;
435     size_type const m_level;
436 
437     node_pointer & m_root_node;
438     size_type & m_leafs_level;
439 
440     // traversing input parameters
441     insert_traverse_data<internal_node, internal_node_pointer, size_type> m_traverse_data;
442 
443     Allocators & m_allocators;
444 };
445 
446 } // namespace detail
447 
448 // Insert visitor forward declaration
449 template <typename Element, typename Value, typename Options, typename Translator, typename Box, typename Allocators, typename InsertTag>
450 class insert;
451 
452 // Default insert visitor used for nodes elements
453 // After passing the Element to insert visitor the Element is managed by the tree
454 // I.e. one should not delete the node passed to the insert visitor after exception is thrown
455 // because this visitor may delete it
456 template <typename Element, typename Value, typename Options, typename Translator, typename Box, typename Allocators>
457 class insert<Element, Value, Options, Translator, Box, Allocators, insert_default_tag>
458     : public detail::insert<Element, Value, Options, Translator, Box, Allocators>
459 {
460 public:
461     typedef detail::insert<Element, Value, Options, Translator, Box, Allocators> base;
462     typedef typename base::node node;
463     typedef typename base::internal_node internal_node;
464     typedef typename base::leaf leaf;
465 
466     typedef typename Options::parameters_type parameters_type;
467     typedef typename base::node_pointer node_pointer;
468     typedef typename base::size_type size_type;
469 
insert(node_pointer & root,size_type & leafs_level,Element const & element,parameters_type const & parameters,Translator const & translator,Allocators & allocators,size_type relative_level=0)470     inline insert(node_pointer & root,
471                   size_type & leafs_level,
472                   Element const& element,
473                   parameters_type const& parameters,
474                   Translator const& translator,
475                   Allocators & allocators,
476                   size_type relative_level = 0
477     )
478         : base(root, leafs_level, element, parameters, translator, allocators, relative_level)
479     {}
480 
operator ()(internal_node & n)481     inline void operator()(internal_node & n)
482     {
483         BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level < base::m_leafs_level, "unexpected level");
484 
485         if ( base::m_traverse_data.current_level < base::m_level )
486         {
487             // next traversing step
488             base::traverse(*this, n);                                                                           // MAY THROW (E: alloc, copy, N: alloc)
489         }
490         else
491         {
492             BOOST_GEOMETRY_INDEX_ASSERT(base::m_level == base::m_traverse_data.current_level, "unexpected level");
493 
494             BOOST_TRY
495             {
496                 // push new child node
497                 rtree::elements(n).push_back(base::m_element);                                                  // MAY THROW, STRONG (E: alloc, copy)
498             }
499             BOOST_CATCH(...)
500             {
501                 // if the insert fails above, the element won't be stored in the tree
502 
503                 rtree::visitors::destroy<Value, Options, Translator, Box, Allocators> del_v(base::m_element.second, base::m_allocators);
504                 rtree::apply_visitor(del_v, *base::m_element.second);
505 
506                 BOOST_RETHROW                                                                                     // RETHROW
507             }
508             BOOST_CATCH_END
509         }
510 
511         base::post_traverse(n);                                                                                 // MAY THROW (E: alloc, copy, N: alloc)
512     }
513 
operator ()(leaf &)514     inline void operator()(leaf &)
515     {
516         BOOST_GEOMETRY_INDEX_ASSERT(false, "this visitor can't be used for a leaf");
517     }
518 };
519 
520 // Default insert visitor specialized for Values elements
521 template <typename Value, typename Options, typename Translator, typename Box, typename Allocators>
522 class insert<Value, Value, Options, Translator, Box, Allocators, insert_default_tag>
523     : public detail::insert<Value, Value, Options, Translator, Box, Allocators>
524 {
525 public:
526     typedef detail::insert<Value, Value, Options, Translator, Box, Allocators> base;
527     typedef typename base::node node;
528     typedef typename base::internal_node internal_node;
529     typedef typename base::leaf leaf;
530 
531     typedef typename Options::parameters_type parameters_type;
532     typedef typename base::node_pointer node_pointer;
533     typedef typename base::size_type size_type;
534 
insert(node_pointer & root,size_type & leafs_level,Value const & value,parameters_type const & parameters,Translator const & translator,Allocators & allocators,size_type relative_level=0)535     inline insert(node_pointer & root,
536                   size_type & leafs_level,
537                   Value const& value,
538                   parameters_type const& parameters,
539                   Translator const& translator,
540                   Allocators & allocators,
541                   size_type relative_level = 0
542     )
543         : base(root, leafs_level, value, parameters, translator, allocators, relative_level)
544     {}
545 
operator ()(internal_node & n)546     inline void operator()(internal_node & n)
547     {
548         BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level < base::m_leafs_level, "unexpected level");
549         BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level < base::m_level, "unexpected level");
550 
551         // next traversing step
552         base::traverse(*this, n);                                                                                   // MAY THROW (V, E: alloc, copy, N: alloc)
553 
554         base::post_traverse(n);                                                                                     // MAY THROW (E: alloc, copy, N: alloc)
555     }
556 
operator ()(leaf & n)557     inline void operator()(leaf & n)
558     {
559         BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level == base::m_leafs_level, "unexpected level");
560         BOOST_GEOMETRY_INDEX_ASSERT(base::m_level == base::m_traverse_data.current_level ||
561                                     base::m_level == (std::numeric_limits<size_t>::max)(), "unexpected level");
562 
563         rtree::elements(n).push_back(base::m_element);                                                              // MAY THROW, STRONG (V: alloc, copy)
564 
565         base::post_traverse(n);                                                                                     // MAY THROW (V: alloc, copy, N: alloc)
566     }
567 };
568 
569 }}} // namespace detail::rtree::visitors
570 
571 }}} // namespace boost::geometry::index
572 
573 #endif // BOOST_GEOMETRY_INDEX_DETAIL_RTREE_VISITORS_INSERT_HPP
574