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1 // Copyright 2014 The Chromium Authors. All rights reserved. | 1 // Copyright 2014 The Chromium Authors. All rights reserved. |
2 // Use of this source code is governed by a BSD-style license that can be | 2 // Use of this source code is governed by a BSD-style license that can be |
3 // found in the LICENSE file. | 3 // found in the LICENSE file. |
4 | 4 |
5 #ifndef UI_GFX_GEOMETRY_R_TREE_H_ | 5 #ifndef UI_GFX_GEOMETRY_R_TREE_H_ |
6 #define UI_GFX_GEOMETRY_R_TREE_H_ | 6 #define UI_GFX_GEOMETRY_R_TREE_H_ |
7 | 7 |
8 #include <vector> | 8 #include "r_tree_base.h" |
9 | |
10 #include "base/containers/hash_tables.h" | |
11 #include "base/gtest_prod_util.h" | |
12 #include "base/macros.h" | |
13 #include "base/memory/scoped_ptr.h" | |
14 #include "base/memory/scoped_vector.h" | |
15 #include "ui/gfx/geometry/rect.h" | |
16 #include "ui/gfx/gfx_export.h" | |
17 | 9 |
18 namespace gfx { | 10 namespace gfx { |
19 | 11 |
20 // Defines a heirarchical bounding rectangle data structure for Rect objects, | 12 // Defines a heirarchical bounding rectangle data structure for Rect objects, |
21 // associated with a generic unique key K for efficient spatial queries. The | 13 // associated with a generic unique key K for efficient spatial queries. The |
22 // R*-tree algorithm is used to build the trees. Based on the papers: | 14 // R*-tree algorithm is used to build the trees. Based on the papers: |
23 // | 15 // |
24 // A Guttman 'R-trees: a dynamic index structure for spatial searching', Proc | 16 // A Guttman 'R-trees: a dynamic index structure for spatial searching', Proc |
25 // ACM SIGMOD Int Conf on Management of Data, 47-57, 1984 | 17 // ACM SIGMOD Int Conf on Management of Data, 47-57, 1984 |
26 // | 18 // |
27 // N Beckmann, H-P Kriegel, R Schneider, B Seeger 'The R*-tree: an efficient and | 19 // N Beckmann, H-P Kriegel, R Schneider, B Seeger 'The R*-tree: an efficient and |
28 // robust access method for points and rectangles', Proc ACM SIGMOD Int Conf on | 20 // robust access method for points and rectangles', Proc ACM SIGMOD Int Conf on |
29 // Management of Data, 322-331, 1990 | 21 // Management of Data, 322-331, 1990 |
30 class GFX_EXPORT RTree { | 22 template <typename Key> |
23 class RTree : public RTreeBase { | |
31 public: | 24 public: |
32 RTree(size_t min_children, size_t max_children); | 25 RTree(size_t min_children, size_t max_children) |
33 ~RTree(); | 26 : RTreeBase(min_children, max_children) {} |
Peter Kasting
2014/05/16 01:41:05
Based on http://dev.chromium.org/developers/coding
luken
2014/05/21 20:19:36
Done.
| |
27 virtual ~RTree() {} | |
Peter Kasting
2014/05/16 01:41:05
This destructor, and RTreeBase's destructor, shoul
luken
2014/05/21 20:19:36
Done.
| |
34 | 28 |
35 // Insert a new rect into the tree, associated with provided key. Note that if | 29 // Insert a new rect into the tree, associated with provided key. Note that if |
36 // rect is empty, this rect will not actually be inserted. Duplicate keys | 30 // rect is empty, this rect will not actually be inserted. Duplicate keys |
37 // overwrite old entries. | 31 // overwrite old entries. |
38 void Insert(const Rect& rect, intptr_t key); | 32 void Insert(const Rect& rect, Key key); |
39 | 33 |
40 // If present, remove the supplied key from the tree. | 34 // If present, remove the supplied key from the tree. |
41 void Remove(intptr_t key); | 35 void Remove(Key key); |
42 | 36 |
43 // Fills a supplied list matches_out with all keys having bounding rects | 37 // Fills a supplied ResultSet matches_out with all keys having bounding rects |
Peter Kasting
2014/05/16 01:41:05
Nit: "ResultSet" is not the correct type name.
Co
luken
2014/05/21 20:19:36
Done.
| |
44 // intersecting query_rect. | 38 // intersecting query_rect. |
45 void Query(const Rect& query_rect, | 39 typedef base::hash_set<Key> Matches; |
46 base::hash_set<intptr_t>* matches_out) const; | 40 void Query(const Rect& query_rect, Matches* matches_out) const; |
47 | 41 |
48 // Removes all objects from the tree. | |
49 void Clear(); | 42 void Clear(); |
50 | 43 |
51 private: | 44 private: |
52 // Private data structure class for storing internal nodes or leaves with keys | 45 class Record : public RecordBase { |
53 // of R-Trees. Note that "leaf" nodes can still have children, the children | |
54 // will all be Nodes with non-NULL record pointers. | |
55 class GFX_EXPORT Node { | |
56 public: | 46 public: |
57 // Level counts from -1 for "record" Nodes, that is Nodes that wrap key | 47 Record(const Rect& rect, Key key) : RecordBase(rect), key_(key) {} |
Peter Kasting
2014/05/16 01:41:05
Again, avoid defining these inline.
luken
2014/05/21 20:19:36
Done.
| |
58 // values, to 0 for leaf Nodes, that is Nodes that only have record | 48 virtual ~Record() {} |
59 // children, up to the root Node, which has level equal to the height of the | 49 const Key key() const { return key_; } |
Peter Kasting
2014/05/16 01:41:05
Did you mean to instead return a const ref?
luken
2014/05/21 20:19:36
Done.
| |
60 // tree. | |
61 explicit Node(int level); | |
62 | |
63 // Builds a new record Node. | |
64 Node(const Rect& rect, intptr_t key); | |
65 | |
66 virtual ~Node(); | |
67 | |
68 // Deletes all children and any attached record. | |
69 void Clear(); | |
70 | |
71 // Recursive call to build a list of rects that intersect the query_rect. | |
72 void Query(const Rect& query_rect, | |
73 base::hash_set<intptr_t>* matches_out) const; | |
74 | |
75 // Recompute our bounds by taking the union of all children rects. Will then | |
76 // call RecomputeBounds() on our parent for recursive bounds recalculation | |
77 // up to the root. | |
78 void RecomputeBounds(); | |
79 | |
80 // Removes number_to_remove nodes from this Node, and appends them to the | |
81 // supplied list. Does not repair bounds upon completion. | |
82 void RemoveNodesForReinsert(size_t number_to_remove, | |
83 ScopedVector<Node>* nodes); | |
84 | |
85 // Given a pointer to a child node within this Node, remove it from our | |
86 // list. If that child had any children, append them to the supplied orphan | |
87 // list. Returns the new count of this node after removal. Does not | |
88 // recompute bounds, as this node itself may be removed if it now has too | |
89 // few children. | |
90 size_t RemoveChild(Node* child_node, ScopedVector<Node>* orphans); | |
91 | |
92 // Does what it says on the tin. Returns NULL if no children. Does not | |
93 // recompute bounds. | |
94 scoped_ptr<Node> RemoveAndReturnLastChild(); | |
95 | |
96 // Given a node, returns the best fit node for insertion of that node at | |
97 // the nodes level(). | |
98 Node* ChooseSubtree(Node* node); | |
99 | |
100 // Adds the provided node to this Node. Returns the new count of records | |
101 // stored in the Node. Will recompute the bounds of this node after | |
102 // addition. | |
103 size_t AddChild(Node* node); | |
104 | |
105 // Returns a sibling to this Node with at least min_children and no greater | |
106 // than max_children of this Node's children assigned to it, and having the | |
107 // same parent. Bounds will be valid on both Nodes after this call. | |
108 Node* Split(size_t min_children, size_t max_children); | |
109 | |
110 // For record nodes only, to support re-insert, allows setting the rect. | |
111 void SetRect(const Rect& rect); | |
112 | |
113 // Returns a pointer to the parent of this Node, or NULL if no parent. | |
114 Node* parent() const { return parent_; } | |
115 | |
116 // 0 level() would mean that this Node is a leaf. 1 would mean that this | |
117 // Node has children that are leaves. Calling level() on root_ returns the | |
118 // height of the tree - 1. A level of -1 means that this is a Record node. | |
119 int level() const { return level_; } | |
120 | |
121 const Rect& rect() const { return rect_; } | |
122 | |
123 size_t count() const { return children_.size(); } | |
124 | |
125 intptr_t key() const { return key_; } | |
126 | 50 |
127 private: | 51 private: |
128 // Returns all records stored in this node and its children. | 52 Key key_; |
129 void GetAllValues(base::hash_set<intptr_t>* matches_out) const; | |
130 | |
131 // Used for sorting Nodes along vertical and horizontal axes | |
132 static bool CompareVertical(Node* a, Node* b); | |
133 | |
134 static bool CompareHorizontal(Node* a, Node* b); | |
135 | |
136 static bool CompareCenterDistanceFromParent(Node* a, Node* b); | |
137 | |
138 // Returns the increase in overlap value, as defined in Beckmann et al as | |
139 // the sum of the areas of the intersection of each |children_| rectangle | |
140 // (excepting the candidate child) with the argument rectangle. The | |
141 // expanded_rect argument is computed as the union of the candidate child | |
142 // rect and the argument rect, and is included here to avoid recomputation. | |
143 // Here the candidate child is indicated by index in |children_|, and | |
144 // expanded_rect is the alread-computed union of candidate's rect and | |
145 // rect. | |
146 int OverlapIncreaseToAdd(const Rect& rect, | |
147 size_t candidate, | |
148 const Rect& expanded_rect); | |
149 | |
150 // Bounds recomputation without calling parents to do the same. | |
151 void RecomputeBoundsNoParents(); | |
152 | |
153 // Split() helper methods. | |
154 // | |
155 // Given two vectors of Nodes sorted by vertical or horizontal bounds, this | |
156 // function populates two vectors of Rectangles in which the ith element is | |
157 // the Union of all bounding rectangles [0,i] in the associated sorted array | |
158 // of Nodes. | |
159 static void BuildLowBounds(const std::vector<Node*>& vertical_sort, | |
160 const std::vector<Node*>& horizontal_sort, | |
161 std::vector<Rect>* vertical_bounds, | |
162 std::vector<Rect>* horizontal_bounds); | |
163 | |
164 // Given two vectors of Nodes sorted by vertical or horizontal bounds, this | |
165 // function populates two vectors of Rectangles in which the ith element is | |
166 // the Union of all bounding rectangles [i, count()) in the associated | |
167 // sorted array of Nodes. | |
168 static void BuildHighBounds(const std::vector<Node*>& vertical_sort, | |
169 const std::vector<Node*>& horizontal_sort, | |
170 std::vector<Rect>* vertical_bounds, | |
171 std::vector<Rect>* horizontal_bounds); | |
172 | |
173 // Returns true if this is a vertical split, false if a horizontal one. | |
174 // Based on ChooseSplitAxis algorithm in Beckmann et al. Chooses the axis | |
175 // with the lowest sum of margin values of bounding boxes. | |
176 static bool ChooseSplitAxis(const std::vector<Rect>& low_vertical_bounds, | |
177 const std::vector<Rect>& high_vertical_bounds, | |
178 const std::vector<Rect>& low_horizontal_bounds, | |
179 const std::vector<Rect>& high_horizontal_bounds, | |
180 size_t min_children, | |
181 size_t max_children); | |
182 | |
183 // Used by SplitNode to calculate optimal index of split, after determining | |
184 // along which axis to sort and split the children rectangles. Returns the | |
185 // index to the first element in the split children as sorted by the bounds | |
186 // vectors. | |
187 static size_t ChooseSplitIndex(size_t min_children, | |
188 size_t max_children, | |
189 const std::vector<Rect>& low_bounds, | |
190 const std::vector<Rect>& high_bounds); | |
191 | |
192 // Takes our children_ and divides them into a new node, starting at index | |
193 // split_index in sorted_children. | |
194 Node* DivideChildren(const std::vector<Rect>& low_bounds, | |
195 const std::vector<Rect>& high_bounds, | |
196 const std::vector<Node*>& sorted_children, | |
197 size_t split_index); | |
198 | |
199 // Returns a pointer to the child node that will result in the least overlap | |
200 // increase with the addition of node_rect, as defined in the Beckmann et al | |
201 // paper, or NULL if there's a tie found. Requires a precomputed vector of | |
202 // expanded rectangles where the ith rectangle in the vector is the union of | |
203 // |children_|[i] and node_rect. | |
204 Node* LeastOverlapIncrease(const Rect& node_rect, | |
205 const std::vector<Rect>& expanded_rects); | |
206 | |
207 // Returns a pointer to the child node that will result in the least area | |
208 // enlargement if the argument node rectangle were to be added to that | |
209 // nodes' bounding box. Requires a precomputed vector of expanded rectangles | |
210 // where the ith rectangle in the vector is the union of |children_|[i] and | |
211 // node_rect. | |
212 Node* LeastAreaEnlargement(const Rect& node_rect, | |
213 const std::vector<Rect>& expanded_rects); | |
214 | |
215 // This Node's bounding rectangle. | |
216 Rect rect_; | |
217 | |
218 // The height of the node in the tree, counting from -1 at the record node | |
219 // to 0 at the leaf up to the root node which has level equal to the height | |
220 // of the tree. | |
221 int level_; | |
222 | |
223 // Pointers to all of our children Nodes. | |
224 ScopedVector<Node> children_; | |
225 | |
226 // A weak pointer to our parent Node in the RTree. The root node will have a | |
227 // NULL value for |parent_|. | |
228 Node* parent_; | |
229 | |
230 // If this is a record Node, then |key_| will be non-NULL and will contain | |
231 // the key data. Otherwise, NULL. | |
232 intptr_t key_; | |
233 | |
234 friend class RTreeTest; | |
235 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeBuildHighBounds); | |
236 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeBuildLowBounds); | |
237 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeChooseSplitAxisAndIndex); | |
238 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeChooseSubtree); | |
239 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeCompareCenterDistanceFromParent); | |
240 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeCompareHorizontal); | |
241 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeCompareVertical); | |
242 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeDivideChildren); | |
243 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeLeastAreaEnlargement); | |
244 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeLeastOverlapIncrease); | |
245 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeOverlapIncreaseToAdd); | |
246 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveAndReturnLastChild); | |
247 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveChildNoOrphans); | |
248 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveChildOrphans); | |
249 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveNodesForReinsert); | |
250 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeSplit); | |
251 | |
252 DISALLOW_COPY_AND_ASSIGN(Node); | |
253 }; | 53 }; |
Peter Kasting
2014/05/16 01:41:05
DISALLOW_COPY_ANY_ASSIGN, unless you intend record
luken
2014/05/21 20:19:36
Done.
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254 | 54 |
255 // Supports re-insertion of Nodes based on the strategies outlined in | |
256 // Beckmann et al. | |
257 void InsertNode(Node* node, int* highset_reinsert_level); | |
258 | |
259 // Supports removal of nodes for tree without deletion. | |
260 void RemoveNode(Node* node); | |
261 | |
262 // A pointer to the root node in the RTree. | |
263 scoped_ptr<Node> root_; | |
264 | |
265 // The parameters used to define the shape of the RTree. | |
266 size_t min_children_; | |
267 size_t max_children_; | |
268 | |
269 // A map of supplied keys to their Node representation within the RTree, for | 55 // A map of supplied keys to their Node representation within the RTree, for |
270 // efficient retrieval of keys without requiring a bounding rect. | 56 // efficient retrieval of keys without requiring a bounding rect. |
271 base::hash_map<intptr_t, Node*> record_map_; | 57 typedef base::hash_map<Key, Record*> RecordMap; |
58 RecordMap record_map_; | |
272 | 59 |
273 friend class RTreeTest; | 60 friend class RTreeTest; |
274 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeBuildHighBounds); | 61 friend class RTreeNodeTest; |
Peter Kasting
2014/05/16 01:41:05
The Google style guide doesn't make it clear where
luken
2014/05/21 20:19:36
Done.
| |
275 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeBuildLowBounds); | |
276 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeChooseSplitAxisAndIndex); | |
277 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeChooseSubtree); | |
278 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeCompareCenterDistanceFromParent); | |
279 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeCompareHorizontal); | |
280 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeCompareVertical); | |
281 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeDivideChildren); | |
282 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeLeastAreaEnlargement); | |
283 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeLeastOverlapIncrease); | |
284 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeOverlapIncreaseToAdd); | |
285 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveAndReturnLastChild); | |
286 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveChildNoOrphans); | |
287 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveChildOrphans); | |
288 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeRemoveNodesForReinsert); | |
289 FRIEND_TEST_ALL_PREFIXES(RTreeTest, NodeSplit); | |
290 | 62 |
291 DISALLOW_COPY_AND_ASSIGN(RTree); | 63 DISALLOW_COPY_AND_ASSIGN(RTree); |
292 }; | 64 }; |
293 | 65 |
66 template <typename Key> | |
67 void RTree<Key>::Insert(const Rect& rect, Key key) { | |
68 Record* record = NULL; | |
69 // Check if this key is already present in the tree. | |
70 typename RecordMap::iterator it = record_map_.find(key); | |
Peter Kasting
2014/05/16 01:41:05
Are the "typename"s actually necessary for compila
luken
2014/05/21 20:19:36
Yes, clang will warn without them, which is treate
| |
71 if (it != record_map_.end()) { | |
72 // We will re-use this node structure, regardless of re-insert or return. | |
73 record = it->second; | |
74 // If the new rect and the current rect are identical we can skip rest of | |
Peter Kasting
2014/05/16 01:41:05
Nit: rest -> the rest
luken
2014/05/21 20:19:36
Done.
| |
75 // Insert() as nothing has changed. | |
76 if (record->rect() == rect) | |
77 return; | |
78 | |
79 // Remove the node from the tree in its current position. | |
80 RemoveNode(record); | |
81 | |
82 // If we are replacing this key with an empty rectangle we just remove the | |
83 // old node from the list and return, thus preventing insertion of empty | |
84 // rectangles into our spatial database. | |
85 if (rect.IsEmpty()) { | |
86 record_map_.erase(it); | |
87 delete record; | |
88 return; | |
89 } | |
90 | |
91 // Reset the rectangle to the new value. | |
92 record->SetRect(rect); | |
93 } else { | |
94 if (rect.IsEmpty()) | |
95 return; | |
96 // Build a new record Node for insertion in to tree. | |
Peter Kasting
2014/05/16 01:41:05
Nit: These next two comments don't seem to add any
luken
2014/05/21 20:19:36
Done.
| |
97 record = new Record(rect, key); | |
98 // Add this new node to our map, for easy retrieval later. | |
99 record_map_.insert(std::make_pair(key, record)); | |
100 } | |
101 | |
102 // Call internal Insert with this new node and allowing all re-inserts. | |
Peter Kasting
2014/05/16 01:41:05
Nit: Another comment that doesn't seem to add anyt
luken
2014/05/21 20:19:36
Done.
| |
103 int starting_level = -1; | |
Peter Kasting
2014/05/16 01:41:05
Nit: Might be clearer to name this |highest_reinse
luken
2014/05/21 20:19:36
Done.
| |
104 InsertNode(record, &starting_level); | |
105 } | |
106 | |
107 template <typename Key> | |
108 void RTree<Key>::Clear() { | |
109 record_map_.clear(); | |
110 root_.reset(new Node()); | |
111 } | |
112 | |
113 template <typename Key> | |
114 void RTree<Key>::Remove(Key key) { | |
115 // Search the map for the leaf parent that has the provided record. | |
116 typename RecordMap::iterator it = record_map_.find(key); | |
117 // If not in the map it's not in the tree, we're done. | |
Peter Kasting
2014/05/16 01:41:05
Nit: The next three comments seem to add nothing t
luken
2014/05/21 20:19:36
Done.
| |
118 if (it == record_map_.end()) | |
119 return; | |
120 | |
121 Record* record = it->second; | |
122 // Remove this node from the map. | |
123 record_map_.erase(it); | |
124 // Now remove it from the RTree. | |
125 RemoveNode(record); | |
126 delete record; | |
127 | |
128 // Lastly check the root. If it has only one non-leaf child, delete it and | |
129 // replace it with its child. | |
130 if (root_->count() == 1 && root_->level() > 0) { | |
131 root_ = scoped_ptr<Node>( | |
Peter Kasting
2014/05/16 01:41:05
Nit: Use reset() instead of "= scoped_ptr<Node>()"
luken
2014/05/21 20:19:36
Done.
| |
132 static_cast<Node*>(root_->RemoveAndReturnLastChild().release())); | |
133 } | |
134 } | |
135 | |
136 template <typename Key> | |
137 void RTree<Key>::Query(const Rect& query_rect, Matches* matches_out) const { | |
138 RTreeBase::Records matching_records; | |
139 root_->Query(query_rect, &matching_records); | |
140 for (RTreeBase::Records::iterator it = matching_records.begin(); | |
Peter Kasting
2014/05/16 01:41:05
I think this can be a const_iterator?
luken
2014/05/21 20:19:36
Done.
| |
141 it != matching_records.end(); | |
142 ++it) { | |
143 const Record* record = static_cast<const Record*>(*it); | |
144 matches_out->insert(record->key()); | |
145 } | |
146 } | |
147 | |
294 } // namespace gfx | 148 } // namespace gfx |
295 | 149 |
296 #endif // UI_GFX_GEOMETRY_R_TREE_H_ | 150 #endif // UI_GFX_GEOMETRY_R_TREE_H_ |
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