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package org.locationtech.jts.index.quadtree; |
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import java.io.Serializable; |
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import java.util.ArrayList; |
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import java.util.List; |
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import org.locationtech.jts.geom.Envelope; |
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import org.locationtech.jts.geom.Geometry; |
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import org.locationtech.jts.index.ArrayListVisitor; |
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import org.locationtech.jts.index.ItemVisitor; |
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import org.locationtech.jts.index.SpatialIndex; |
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/** |
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* A Quadtree is a spatial index structure for efficient range querying |
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* of items bounded by 2D rectangles. |
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* {@link Geometry}s can be indexed by using their |
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* {@link Envelope}s. |
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* Any type of Object can also be indexed as |
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* long as it has an extent that can be represented by an {@link Envelope}. |
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* <p> |
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* This Quadtree index provides a <b>primary filter</b> |
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* for range rectangle queries. The various query methods return a list of |
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* all items which <i>may</i> intersect the query rectangle. Note that |
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* it may thus return items which do <b>not</b> in fact intersect the query rectangle. |
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* A secondary filter is required to test for actual intersection |
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* between the query rectangle and the envelope of each candidate item. |
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* The secondary filter may be performed explicitly, |
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* or it may be provided implicitly by subsequent operations executed on the items |
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* (for instance, if the index query is followed by computing a spatial predicate |
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* between the query geometry and tree items, |
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* the envelope intersection check is performed automatically. |
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* <p> |
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* This implementation does not require specifying the extent of the inserted |
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* items beforehand. It will automatically expand to accommodate any extent |
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* of dataset. |
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* <p> |
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* This data structure is also known as an <i>MX-CIF quadtree</i> |
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* following the terminology of Samet and others. |
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* |
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* @version 1.7 |
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*/ |
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public class Quadtree |
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implements SpatialIndex, Serializable |
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{ |
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private static final long serialVersionUID = -7461163625812743604L; |
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/** |
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* Ensure that the envelope for the inserted item has non-zero extents. |
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* Use the current minExtent to pad the envelope, if necessary |
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*/ |
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public static Envelope ensureExtent(Envelope itemEnv, double minExtent) |
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{ |
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double minx = itemEnv.getMinX(); |
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double maxx = itemEnv.getMaxX(); |
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double miny = itemEnv.getMinY(); |
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double maxy = itemEnv.getMaxY(); |
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if (minx != maxx && miny != maxy) return itemEnv; |
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if (minx == maxx) { |
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minx = minx - minExtent / 2.0; |
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maxx = maxx + minExtent / 2.0; |
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} |
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if (miny == maxy) { |
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miny = miny - minExtent / 2.0; |
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maxy = maxy + minExtent / 2.0; |
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} |
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return new Envelope(minx, maxx, miny, maxy); |
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} |
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private Root root; |
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/** |
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* minExtent is the minimum envelope extent of all items |
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* inserted into the tree so far. It is used as a heuristic value |
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* to construct non-zero envelopes for features with zero X and/or Y extent. |
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* Start with a non-zero extent, in case the first feature inserted has |
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* a zero extent in both directions. This value may be non-optimal, but |
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* only one feature will be inserted with this value. |
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**/ |
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private double minExtent = 1.0; |
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/** |
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* Constructs a Quadtree with zero items. |
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*/ |
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public Quadtree() |
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{ |
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root = new Root(); |
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} |
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/** |
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* Returns the number of levels in the tree. |
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*/ |
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public int depth() |
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{ |
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if (root != null) return root.depth(); |
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return 0; |
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} |
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/** |
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* Tests whether the index contains any items. |
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* |
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* @return true if the index does not contain any items |
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*/ |
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public boolean isEmpty() |
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{ |
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if (root == null) return true; |
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return root.isEmpty(); |
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} |
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/** |
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* Returns the number of items in the tree. |
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* |
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* @return the number of items in the tree |
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*/ |
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public int size() |
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{ |
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if (root != null) return root.size(); |
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return 0; |
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} |
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public void insert(Envelope itemEnv, Object item) |
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{ |
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collectStats(itemEnv); |
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Envelope insertEnv = ensureExtent(itemEnv, minExtent); |
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root.insert(insertEnv, item); |
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} |
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/** |
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* Removes a single item from the tree. |
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* |
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* @param itemEnv the Envelope of the item to be removed |
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* @param item the item to remove |
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* @return <code>true</code> if the item was found (and thus removed) |
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*/ |
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public boolean remove(Envelope itemEnv, Object item) |
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{ |
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Envelope posEnv = ensureExtent(itemEnv, minExtent); |
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return root.remove(posEnv, item); |
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} |
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/** |
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* Queries the tree and returns items which may lie in the given search envelope. |
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* Precisely, the items that are returned are all items in the tree |
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* whose envelope <b>may</b> intersect the search Envelope. |
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* Note that some items with non-intersecting envelopes may be returned as well; |
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* the client is responsible for filtering these out. |
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* In most situations there will be many items in the tree which do not |
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* intersect the search envelope and which are not returned - thus |
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* providing improved performance over a simple linear scan. |
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* |
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* @param searchEnv the envelope of the desired query area. |
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* @return a List of items which may intersect the search envelope |
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*/ |
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public List query(Envelope searchEnv) |
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{ |
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/** |
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* the items that are matched are the items in quads which |
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* overlap the search envelope |
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*/ |
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ArrayListVisitor visitor = new ArrayListVisitor(); |
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query(searchEnv, visitor); |
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return visitor.getItems(); |
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} |
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/** |
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* Queries the tree and visits items which may lie in the given search envelope. |
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* Precisely, the items that are visited are all items in the tree |
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* whose envelope <b>may</b> intersect the search Envelope. |
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* Note that some items with non-intersecting envelopes may be visited as well; |
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* the client is responsible for filtering these out. |
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* In most situations there will be many items in the tree which do not |
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* intersect the search envelope and which are not visited - thus |
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* providing improved performance over a simple linear scan. |
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* |
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* @param searchEnv the envelope of the desired query area. |
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* @param visitor a visitor object which is passed the visited items |
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*/ |
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public void query(Envelope searchEnv, ItemVisitor visitor) |
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{ |
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/** |
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* the items that are matched are the items in quads which |
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* overlap the search envelope |
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*/ |
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root.visit(searchEnv, visitor); |
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} |
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/** |
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* Return a list of all items in the Quadtree |
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*/ |
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public List queryAll() |
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{ |
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List foundItems = new ArrayList(); |
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root.addAllItems(foundItems); |
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return foundItems; |
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} |
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private void collectStats(Envelope itemEnv) |
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{ |
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double delX = itemEnv.getWidth(); |
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if (delX < minExtent && delX > 0.0) |
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minExtent = delX; |
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double delY = itemEnv.getHeight(); |
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if (delY < minExtent && delY > 0.0) |
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minExtent = delY; |
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} |
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} |
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