insert.hpp 26 KB

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  1. // Boost.Geometry Index
  2. //
  3. // R-tree inserting visitor implementation
  4. //
  5. // Copyright (c) 2011-2023 Adam Wulkiewicz, Lodz, Poland.
  6. //
  7. // This file was modified by Oracle on 2019-2023.
  8. // Modifications copyright (c) 2019-2023 Oracle and/or its affiliates.
  9. // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
  10. // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
  11. //
  12. // Use, modification and distribution is subject to the Boost Software License,
  13. // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  14. // http://www.boost.org/LICENSE_1_0.txt)
  15. #ifndef BOOST_GEOMETRY_INDEX_DETAIL_RTREE_VISITORS_INSERT_HPP
  16. #define BOOST_GEOMETRY_INDEX_DETAIL_RTREE_VISITORS_INSERT_HPP
  17. #ifdef BOOST_GEOMETRY_INDEX_EXPERIMENTAL_ENLARGE_BY_EPSILON
  18. #include <type_traits>
  19. #endif
  20. #include <boost/geometry/algorithms/detail/expand_by_epsilon.hpp>
  21. #include <boost/geometry/core/static_assert.hpp>
  22. #include <boost/geometry/index/detail/algorithms/bounds.hpp>
  23. #include <boost/geometry/index/detail/algorithms/content.hpp>
  24. #include <boost/geometry/index/detail/rtree/node/node.hpp>
  25. #include <boost/geometry/index/detail/rtree/node/node_elements.hpp>
  26. #include <boost/geometry/index/detail/rtree/node/subtree_destroyer.hpp>
  27. #include <boost/geometry/index/detail/rtree/options.hpp>
  28. #include <boost/geometry/util/condition.hpp>
  29. namespace boost { namespace geometry { namespace index {
  30. namespace detail { namespace rtree {
  31. // Default choose_next_node
  32. template
  33. <
  34. typename MembersHolder,
  35. typename ChooseNextNodeTag = typename MembersHolder::options_type::choose_next_node_tag
  36. >
  37. class choose_next_node;
  38. template <typename MembersHolder>
  39. class choose_next_node<MembersHolder, choose_by_content_diff_tag>
  40. {
  41. public:
  42. typedef typename MembersHolder::box_type box_type;
  43. typedef typename MembersHolder::parameters_type parameters_type;
  44. typedef typename MembersHolder::node node;
  45. typedef typename MembersHolder::internal_node internal_node;
  46. typedef typename MembersHolder::leaf leaf;
  47. typedef typename rtree::elements_type<internal_node>::type children_type;
  48. typedef typename index::detail::default_content_result<box_type>::type content_type;
  49. template <typename Indexable>
  50. static inline size_t apply(internal_node & n,
  51. Indexable const& indexable,
  52. parameters_type const& parameters,
  53. size_t /*node_relative_level*/)
  54. {
  55. children_type & children = rtree::elements(n);
  56. BOOST_GEOMETRY_INDEX_ASSERT(!children.empty(), "can't choose the next node if children are empty");
  57. size_t children_count = children.size();
  58. // choose index with smallest content change or smallest content
  59. size_t choosen_index = 0;
  60. content_type smallest_content_diff = (std::numeric_limits<content_type>::max)();
  61. content_type smallest_content = (std::numeric_limits<content_type>::max)();
  62. // caculate areas and areas of all nodes' boxes
  63. for ( size_t i = 0 ; i < children_count ; ++i )
  64. {
  65. typedef typename children_type::value_type child_type;
  66. child_type const& ch_i = children[i];
  67. // expanded child node's box
  68. box_type box_exp(ch_i.first);
  69. index::detail::expand(box_exp, indexable,
  70. index::detail::get_strategy(parameters));
  71. // areas difference
  72. content_type content = index::detail::content(box_exp);
  73. content_type content_diff = content - index::detail::content(ch_i.first);
  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. return choosen_index;
  84. }
  85. };
  86. // ----------------------------------------------------------------------- //
  87. // Not implemented here
  88. template
  89. <
  90. typename MembersHolder,
  91. typename RedistributeTag = typename MembersHolder::options_type::redistribute_tag
  92. >
  93. struct redistribute_elements
  94. {
  95. BOOST_GEOMETRY_STATIC_ASSERT_FALSE(
  96. "Not implemented for this RedistributeTag type.",
  97. MembersHolder, RedistributeTag);
  98. };
  99. // ----------------------------------------------------------------------- //
  100. // Split algorithm
  101. template
  102. <
  103. typename MembersHolder,
  104. typename SplitTag = typename MembersHolder::options_type::split_tag
  105. >
  106. class split
  107. {
  108. BOOST_GEOMETRY_STATIC_ASSERT_FALSE(
  109. "Not implemented for this SplitTag type.",
  110. MembersHolder, SplitTag);
  111. };
  112. // Default split algorithm
  113. template <typename MembersHolder>
  114. class split<MembersHolder, split_default_tag>
  115. {
  116. protected:
  117. typedef typename MembersHolder::parameters_type parameters_type;
  118. typedef typename MembersHolder::box_type box_type;
  119. typedef typename MembersHolder::translator_type translator_type;
  120. typedef typename MembersHolder::allocators_type allocators_type;
  121. typedef typename MembersHolder::size_type size_type;
  122. typedef typename MembersHolder::node node;
  123. typedef typename MembersHolder::internal_node internal_node;
  124. typedef typename MembersHolder::leaf leaf;
  125. typedef typename MembersHolder::node_pointer node_pointer;
  126. public:
  127. typedef index::detail::varray<
  128. typename rtree::elements_type<internal_node>::type::value_type,
  129. 1
  130. > nodes_container_type;
  131. template <typename Node>
  132. static inline void apply(nodes_container_type & additional_nodes,
  133. Node & n,
  134. box_type & n_box,
  135. parameters_type const& parameters,
  136. translator_type const& translator,
  137. allocators_type & allocators)
  138. {
  139. // TODO - consider creating nodes always with sufficient memory allocated
  140. // create additional node, use auto destroyer for automatic destruction on exception
  141. node_pointer n2_ptr = rtree::create_node<allocators_type, Node>::apply(allocators); // MAY THROW, STRONG (N: alloc)
  142. // create reference to the newly created node
  143. Node & n2 = rtree::get<Node>(*n2_ptr);
  144. BOOST_TRY
  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 std::move() in the case of e.g. static size nodes.
  154. // redistribute elements
  155. box_type box2;
  156. redistribute_elements<MembersHolder>
  157. ::apply(n, n2, n_box, box2, parameters, translator, allocators); // MAY THROW (V, E: alloc, copy, copy)
  158. // check numbers of elements
  159. BOOST_GEOMETRY_INDEX_ASSERT(parameters.get_min_elements() <= rtree::elements(n).size() &&
  160. rtree::elements(n).size() <= parameters.get_max_elements(),
  161. "unexpected number of elements");
  162. BOOST_GEOMETRY_INDEX_ASSERT(parameters.get_min_elements() <= rtree::elements(n2).size() &&
  163. rtree::elements(n2).size() <= parameters.get_max_elements(),
  164. "unexpected number of elements");
  165. // return the list of newly created nodes (this algorithm returns one)
  166. additional_nodes.push_back(rtree::make_ptr_pair(box2, n2_ptr)); // MAY THROW, STRONG (alloc, copy)
  167. }
  168. BOOST_CATCH(...)
  169. {
  170. // NOTE: This code is here to prevent leaving the rtree in a state
  171. // after an exception is thrown in which pushing new element could
  172. // result in assert or putting it outside the memory of node elements.
  173. typename rtree::elements_type<Node>::type & elements = rtree::elements(n);
  174. size_type const max_size = parameters.get_max_elements();
  175. if (elements.size() > max_size)
  176. {
  177. rtree::destroy_element<MembersHolder>::apply(elements[max_size], allocators);
  178. elements.pop_back();
  179. }
  180. rtree::visitors::destroy<MembersHolder>::apply(n2_ptr, allocators);
  181. BOOST_RETHROW
  182. }
  183. BOOST_CATCH_END
  184. }
  185. };
  186. // ----------------------------------------------------------------------- //
  187. namespace visitors { namespace detail {
  188. template <typename InternalNode, typename InternalNodePtr, typename SizeType>
  189. struct insert_traverse_data
  190. {
  191. typedef typename rtree::elements_type<InternalNode>::type elements_type;
  192. typedef typename elements_type::value_type element_type;
  193. typedef typename elements_type::size_type elements_size_type;
  194. typedef SizeType size_type;
  195. insert_traverse_data()
  196. : parent(0), current_child_index(0), current_level(0)
  197. {}
  198. 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. bool current_is_root() const
  206. {
  207. return 0 == parent;
  208. }
  209. elements_type & parent_elements() const
  210. {
  211. BOOST_GEOMETRY_INDEX_ASSERT(parent, "null pointer");
  212. return rtree::elements(*parent);
  213. }
  214. element_type & current_element() const
  215. {
  216. BOOST_GEOMETRY_INDEX_ASSERT(parent, "null pointer");
  217. return rtree::elements(*parent)[current_child_index];
  218. }
  219. InternalNodePtr parent;
  220. elements_size_type current_child_index;
  221. size_type current_level;
  222. };
  223. // Default insert visitor
  224. template <typename Element, typename MembersHolder>
  225. class insert
  226. : public MembersHolder::visitor
  227. {
  228. protected:
  229. typedef typename MembersHolder::box_type box_type;
  230. typedef typename MembersHolder::value_type value_type;
  231. typedef typename MembersHolder::parameters_type parameters_type;
  232. typedef typename MembersHolder::translator_type translator_type;
  233. typedef typename MembersHolder::allocators_type allocators_type;
  234. typedef typename MembersHolder::node node;
  235. typedef typename MembersHolder::internal_node internal_node;
  236. typedef typename MembersHolder::leaf leaf;
  237. typedef rtree::subtree_destroyer<MembersHolder> subtree_destroyer;
  238. typedef typename allocators_type::node_pointer node_pointer;
  239. typedef typename allocators_type::size_type size_type;
  240. //typedef typename allocators_type::internal_node_pointer internal_node_pointer;
  241. typedef internal_node * internal_node_pointer;
  242. inline insert(node_pointer & root,
  243. size_type & leafs_level,
  244. Element const& element,
  245. parameters_type const& parameters,
  246. translator_type const& translator,
  247. allocators_type & allocators,
  248. size_type relative_level = 0
  249. )
  250. : m_element(element)
  251. , m_parameters(parameters)
  252. , m_translator(translator)
  253. , m_relative_level(relative_level)
  254. , m_level(leafs_level - relative_level)
  255. , m_root_node(root)
  256. , m_leafs_level(leafs_level)
  257. , m_traverse_data()
  258. , m_allocators(allocators)
  259. {
  260. BOOST_GEOMETRY_INDEX_ASSERT(m_relative_level <= leafs_level, "unexpected level value");
  261. BOOST_GEOMETRY_INDEX_ASSERT(m_level <= m_leafs_level, "unexpected level value");
  262. BOOST_GEOMETRY_INDEX_ASSERT(0 != m_root_node, "there is no root node");
  263. // TODO
  264. // assert - check if Box is correct
  265. // When a value is inserted, during the tree traversal bounds of nodes
  266. // on a path from the root to a leaf must be expanded. So prepare
  267. // a bounding object at the beginning to not do it later for each node.
  268. // NOTE: This is actually only needed because conditionally the bounding
  269. // object may be expanded below. Otherwise the indexable could be
  270. // directly used instead
  271. index::detail::bounds(rtree::element_indexable(m_element, m_translator),
  272. m_element_bounds,
  273. index::detail::get_strategy(m_parameters));
  274. #ifdef BOOST_GEOMETRY_INDEX_EXPERIMENTAL_ENLARGE_BY_EPSILON
  275. // Enlarge it in case if it's not bounding geometry type.
  276. // It's because Points and Segments are compared WRT machine epsilon
  277. // This ensures that leafs bounds correspond to the stored elements
  278. if (BOOST_GEOMETRY_CONDITION((
  279. std::is_same<Element, value_type>::value
  280. && ! index::detail::is_bounding_geometry
  281. <
  282. typename indexable_type<translator_type>::type
  283. >::value )) )
  284. {
  285. geometry::detail::expand_by_epsilon(m_element_bounds);
  286. }
  287. #endif
  288. }
  289. template <typename Visitor>
  290. inline void traverse(Visitor & visitor, internal_node & n)
  291. {
  292. // choose next node
  293. size_t choosen_node_index = rtree::choose_next_node<MembersHolder>
  294. ::apply(n, rtree::element_indexable(m_element, m_translator),
  295. m_parameters,
  296. m_leafs_level - m_traverse_data.current_level);
  297. // expand the node to contain value
  298. index::detail::expand(
  299. rtree::elements(n)[choosen_node_index].first,
  300. m_element_bounds,
  301. index::detail::get_strategy(m_parameters));
  302. // next traversing step
  303. traverse_apply_visitor(visitor, n, choosen_node_index); // MAY THROW (V, E: alloc, copy, N:alloc)
  304. }
  305. // TODO: awulkiew - change post_traverse name to handle_overflow or overflow_treatment?
  306. template <typename Node>
  307. inline void post_traverse(Node &n)
  308. {
  309. BOOST_GEOMETRY_INDEX_ASSERT(m_traverse_data.current_is_root() ||
  310. &n == &rtree::get<Node>(*m_traverse_data.current_element().second),
  311. "if node isn't the root current_child_index should be valid");
  312. // handle overflow
  313. if ( m_parameters.get_max_elements() < rtree::elements(n).size() )
  314. {
  315. // NOTE: If the exception is thrown current node may contain more than MAX elements or be empty.
  316. // Furthermore it may be empty root - internal node.
  317. split(n); // MAY THROW (V, E: alloc, copy, N:alloc)
  318. }
  319. }
  320. template <typename Visitor>
  321. inline void traverse_apply_visitor(Visitor & visitor, internal_node &n, size_t choosen_node_index)
  322. {
  323. // save previous traverse inputs and set new ones
  324. insert_traverse_data<internal_node, internal_node_pointer, size_type>
  325. backup_traverse_data = m_traverse_data;
  326. // calculate new traverse inputs
  327. m_traverse_data.move_to_next_level(&n, choosen_node_index);
  328. // next traversing step
  329. rtree::apply_visitor(visitor, *rtree::elements(n)[choosen_node_index].second); // MAY THROW (V, E: alloc, copy, N:alloc)
  330. // restore previous traverse inputs
  331. m_traverse_data = backup_traverse_data;
  332. }
  333. // TODO: consider - split result returned as OutIter is faster than reference to the container. Why?
  334. template <typename Node>
  335. inline void split(Node & n) const
  336. {
  337. typedef rtree::split<MembersHolder> split_algo;
  338. typename split_algo::nodes_container_type additional_nodes;
  339. box_type n_box;
  340. split_algo::apply(additional_nodes, n, n_box, m_parameters, m_translator, m_allocators); // MAY THROW (V, E: alloc, copy, N:alloc)
  341. BOOST_GEOMETRY_INDEX_ASSERT(additional_nodes.size() == 1, "unexpected number of additional nodes");
  342. // TODO add all additional nodes
  343. // For kmeans algorithm:
  344. // elements number may be greater than node max elements count
  345. // split and reinsert must take node with some elements count
  346. // and container of additional elements (std::pair<Box, node*>s or Values)
  347. // and translator + allocators
  348. // where node_elements_count + additional_elements > node_max_elements_count
  349. // What with elements other than std::pair<Box, node*> ?
  350. // Implement template <node_tag> struct node_element_type or something like that
  351. // for exception safety
  352. subtree_destroyer additional_node_ptr(additional_nodes[0].second, m_allocators);
  353. #ifdef BOOST_GEOMETRY_INDEX_EXPERIMENTAL_ENLARGE_BY_EPSILON
  354. // Enlarge bounds of a leaf node.
  355. // It's because Points and Segments are compared WRT machine epsilon
  356. // This ensures that leafs' bounds correspond to the stored elements.
  357. if (BOOST_GEOMETRY_CONDITION((
  358. std::is_same<Node, leaf>::value
  359. && ! index::detail::is_bounding_geometry
  360. <
  361. typename indexable_type<translator_type>::type
  362. >::value )))
  363. {
  364. geometry::detail::expand_by_epsilon(n_box);
  365. geometry::detail::expand_by_epsilon(additional_nodes[0].first);
  366. }
  367. #endif
  368. // node is not the root - just add the new node
  369. if ( !m_traverse_data.current_is_root() )
  370. {
  371. // update old node's box
  372. m_traverse_data.current_element().first = n_box;
  373. // add new node to parent's children
  374. m_traverse_data.parent_elements().push_back(additional_nodes[0]); // MAY THROW, STRONG (V, E: alloc, copy)
  375. }
  376. // node is the root - add level
  377. else
  378. {
  379. BOOST_GEOMETRY_INDEX_ASSERT(&n == &rtree::get<Node>(*m_root_node), "node should be the root");
  380. // create new root and add nodes
  381. subtree_destroyer new_root(rtree::create_node<allocators_type, internal_node>::apply(m_allocators), m_allocators); // MAY THROW, STRONG (N:alloc)
  382. BOOST_TRY
  383. {
  384. 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)
  385. rtree::elements(rtree::get<internal_node>(*new_root)).push_back(additional_nodes[0]); // MAY THROW, STRONG (E:alloc, copy)
  386. }
  387. BOOST_CATCH(...)
  388. {
  389. // clear new root to not delete in the ~subtree_destroyer() potentially stored old root node
  390. rtree::elements(rtree::get<internal_node>(*new_root)).clear();
  391. BOOST_RETHROW // RETHROW
  392. }
  393. BOOST_CATCH_END
  394. m_root_node = new_root.get();
  395. ++m_leafs_level;
  396. new_root.release();
  397. }
  398. additional_node_ptr.release();
  399. }
  400. // TODO: awulkiew - implement dispatchable split::apply to enable additional nodes creation
  401. Element const& m_element;
  402. box_type m_element_bounds;
  403. parameters_type const& m_parameters;
  404. translator_type const& m_translator;
  405. size_type const m_relative_level;
  406. size_type const m_level;
  407. node_pointer & m_root_node;
  408. size_type & m_leafs_level;
  409. // traversing input parameters
  410. insert_traverse_data<internal_node, internal_node_pointer, size_type> m_traverse_data;
  411. allocators_type & m_allocators;
  412. };
  413. } // namespace detail
  414. // Insert visitor forward declaration
  415. template
  416. <
  417. typename Element,
  418. typename MembersHolder,
  419. typename InsertTag = typename MembersHolder::options_type::insert_tag
  420. >
  421. class insert;
  422. // Default insert visitor used for nodes elements
  423. // After passing the Element to insert visitor the Element is managed by the tree
  424. // I.e. one should not delete the node passed to the insert visitor after exception is thrown
  425. // because this visitor may delete it
  426. template <typename Element, typename MembersHolder>
  427. class insert<Element, MembersHolder, insert_default_tag>
  428. : public detail::insert<Element, MembersHolder>
  429. {
  430. public:
  431. typedef detail::insert<Element, MembersHolder> base;
  432. typedef typename base::parameters_type parameters_type;
  433. typedef typename base::translator_type translator_type;
  434. typedef typename base::allocators_type allocators_type;
  435. typedef typename base::node node;
  436. typedef typename base::internal_node internal_node;
  437. typedef typename base::leaf leaf;
  438. typedef typename base::node_pointer node_pointer;
  439. typedef typename base::size_type size_type;
  440. inline insert(node_pointer & root,
  441. size_type & leafs_level,
  442. Element const& element,
  443. parameters_type const& parameters,
  444. translator_type const& translator,
  445. allocators_type & allocators,
  446. size_type relative_level = 0
  447. )
  448. : base(root, leafs_level, element, parameters, translator, allocators, relative_level)
  449. {}
  450. inline void operator()(internal_node & n)
  451. {
  452. BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level < base::m_leafs_level, "unexpected level");
  453. if ( base::m_traverse_data.current_level < base::m_level )
  454. {
  455. // next traversing step
  456. base::traverse(*this, n); // MAY THROW (E: alloc, copy, N: alloc)
  457. }
  458. else
  459. {
  460. BOOST_GEOMETRY_INDEX_ASSERT(base::m_level == base::m_traverse_data.current_level, "unexpected level");
  461. BOOST_TRY
  462. {
  463. // push new child node
  464. rtree::elements(n).push_back(base::m_element); // MAY THROW, STRONG (E: alloc, copy)
  465. }
  466. BOOST_CATCH(...)
  467. {
  468. // if the insert fails above, the element won't be stored in the tree
  469. rtree::visitors::destroy<MembersHolder>::apply(base::m_element.second, base::m_allocators);
  470. BOOST_RETHROW // RETHROW
  471. }
  472. BOOST_CATCH_END
  473. }
  474. base::post_traverse(n); // MAY THROW (E: alloc, copy, N: alloc)
  475. }
  476. inline void operator()(leaf &)
  477. {
  478. BOOST_GEOMETRY_INDEX_ASSERT(false, "this visitor can't be used for a leaf");
  479. }
  480. };
  481. // Default insert visitor specialized for Values elements
  482. template <typename MembersHolder>
  483. class insert<typename MembersHolder::value_type, MembersHolder, insert_default_tag>
  484. : public detail::insert<typename MembersHolder::value_type, MembersHolder>
  485. {
  486. public:
  487. typedef detail::insert<typename MembersHolder::value_type, MembersHolder> base;
  488. typedef typename base::value_type value_type;
  489. typedef typename base::parameters_type parameters_type;
  490. typedef typename base::translator_type translator_type;
  491. typedef typename base::allocators_type allocators_type;
  492. typedef typename base::node node;
  493. typedef typename base::internal_node internal_node;
  494. typedef typename base::leaf leaf;
  495. typedef typename base::node_pointer node_pointer;
  496. typedef typename base::size_type size_type;
  497. inline insert(node_pointer & root,
  498. size_type & leafs_level,
  499. value_type const& value,
  500. parameters_type const& parameters,
  501. translator_type const& translator,
  502. allocators_type & allocators,
  503. size_type relative_level = 0
  504. )
  505. : base(root, leafs_level, value, parameters, translator, allocators, relative_level)
  506. {}
  507. inline void operator()(internal_node & n)
  508. {
  509. BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level < base::m_leafs_level, "unexpected level");
  510. BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level < base::m_level, "unexpected level");
  511. // next traversing step
  512. base::traverse(*this, n); // MAY THROW (V, E: alloc, copy, N: alloc)
  513. base::post_traverse(n); // MAY THROW (E: alloc, copy, N: alloc)
  514. }
  515. inline void operator()(leaf & n)
  516. {
  517. BOOST_GEOMETRY_INDEX_ASSERT(base::m_traverse_data.current_level == base::m_leafs_level, "unexpected level");
  518. BOOST_GEOMETRY_INDEX_ASSERT(base::m_level == base::m_traverse_data.current_level ||
  519. base::m_level == (std::numeric_limits<size_t>::max)(), "unexpected level");
  520. rtree::elements(n).push_back(base::m_element); // MAY THROW, STRONG (V: alloc, copy)
  521. base::post_traverse(n); // MAY THROW (V: alloc, copy, N: alloc)
  522. }
  523. };
  524. }}} // namespace detail::rtree::visitors
  525. }}} // namespace boost::geometry::index
  526. #endif // BOOST_GEOMETRY_INDEX_DETAIL_RTREE_VISITORS_INSERT_HPP