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/****************************************************************************** |
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rtree.js - General-Purpose Non-Recursive Javascript R-Tree Library |
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Version 0.6.2, December 5st 2009 |
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Copyright (c) 2009 Jon-Carlos Rivera |
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Permission is hereby granted, free of charge, to any person obtaining |
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a copy of this software and associated documentation files (the |
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"Software"), to deal in the Software without restriction, including |
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without limitation the rights to use, copy, modify, merge, publish, |
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distribute, sublicense, and/or sell copies of the Software, and to |
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permit persons to whom the Software is furnished to do so, subject to |
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the following conditions: |
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The above copyright notice and this permission notice shall be |
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included in all copies or substantial portions of the Software. |
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
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MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
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NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE |
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LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION |
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OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION |
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WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
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Jon-Carlos Rivera - imbcmdth@hotmail.com |
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******************************************************************************/ |
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/** |
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* RTree - A simple r-tree structure for great results. |
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* @constructor |
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*/ |
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var RTree = function(width){ |
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// Variables to control tree-dimensions |
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var _Min_Width = 3; // Minimum width of any node before a merge |
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var _Max_Width = 6; // Maximum width of any node before a split |
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if(!isNaN(width)){ _Min_Width = Math.floor(width/2.0); _Max_Width = width;} |
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// Start with an empty root-tree |
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var _T = {x:0, y:0, w:0, h:0, id:"root", nodes:[] }; |
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var isArray = function(o) { |
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return Object.prototype.toString.call(o) === '[object Array]'; |
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}; |
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/* @function |
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* @description Function to generate unique strings for element IDs |
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* @param {String} n The prefix to use for the IDs generated. |
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* @return {String} A guarenteed unique ID. |
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*/ |
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var _name_to_id = (function() { |
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// hide our idCache inside this closure |
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var idCache = {}; |
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// return the api: our function that returns a unique string with incrementing number appended to given idPrefix |
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return function(idPrefix) { |
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var idVal = 0; |
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if(idPrefix in idCache) { |
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idVal = idCache[idPrefix]++; |
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} else { |
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idCache[idPrefix] = 0; |
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} |
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return idPrefix + "_" + idVal; |
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} |
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})(); |
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// This is my special addition to the world of r-trees |
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// every other (simple) method I found produced crap trees |
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// this skews insertions to prefering squarer and emptier nodes |
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RTree.Rectangle.squarified_ratio = function(l, w, fill) { |
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// Area of new enlarged rectangle |
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var lperi = (l + w) / 2.0; // Average size of a side of the new rectangle |
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var larea = l * w; // Area of new rectangle |
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// return the ratio of the perimeter to the area - the closer to 1 we are, |
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// the more "square" a rectangle is. conversly, when approaching zero the |
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// more elongated a rectangle is |
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var lgeo = larea / (lperi*lperi); |
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return(larea * fill / lgeo); |
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}; |
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/* find the best specific node(s) for object to be deleted from |
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* [ leaf node parent ] = _remove_subtree(rectangle, object, root) |
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* @private |
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*/ |
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var _remove_subtree = function(rect, obj, root) { |
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var hit_stack = []; // Contains the elements that overlap |
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var count_stack = []; // Contains the elements that overlap |
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var ret_array = []; |
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var current_depth = 1; |
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if(!rect || !RTree.Rectangle.overlap_rectangle(rect, root)) |
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return ret_array; |
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var ret_obj = {x:rect.x, y:rect.y, w:rect.w, h:rect.h, target:obj}; |
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count_stack.push(root.nodes.length); |
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hit_stack.push(root); |
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do { |
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var tree = hit_stack.pop(); |
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var i = count_stack.pop()-1; |
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if("target" in ret_obj) { // We are searching for a target |
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while(i >= 0) { |
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var ltree = tree.nodes[i]; |
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if(RTree.Rectangle.overlap_rectangle(ret_obj, ltree)) { |
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if( (ret_obj.target && "leaf" in ltree && ltree.leaf === ret_obj.target) |
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||(!ret_obj.target && ("leaf" in ltree || RTree.Rectangle.contains_rectangle(ltree, ret_obj)))) { // A Match !! |
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// Yup we found a match... |
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// we can cancel search and start walking up the list |
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if("nodes" in ltree) {// If we are deleting a node not a leaf... |
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ret_array = _search_subtree(ltree, true, [], ltree); |
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tree.nodes.splice(i, 1); |
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} else { |
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ret_array = tree.nodes.splice(i, 1); |
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} |
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// Resize MBR down... |
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RTree.Rectangle.make_MBR(tree.nodes, tree); |
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delete ret_obj.target; |
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if(tree.nodes.length < _Min_Width) { // Underflow |
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ret_obj.nodes = _search_subtree(tree, true, [], tree); |
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} |
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break; |
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}/* else if("load" in ltree) { // A load |
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}*/ else if("nodes" in ltree) { // Not a Leaf |
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current_depth += 1; |
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count_stack.push(i); |
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hit_stack.push(tree); |
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tree = ltree; |
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i = ltree.nodes.length; |
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} |
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} |
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i -= 1; |
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} |
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} else if("nodes" in ret_obj) { // We are unsplitting |
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tree.nodes.splice(i+1, 1); // Remove unsplit node |
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// ret_obj.nodes contains a list of elements removed from the tree so far |
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if(tree.nodes.length > 0) |
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RTree.Rectangle.make_MBR(tree.nodes, tree); |
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for(var t = 0;t<ret_obj.nodes.length;t++) |
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_insert_subtree(ret_obj.nodes[t], tree); |
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ret_obj.nodes.length = 0; |
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if(hit_stack.length == 0 && tree.nodes.length <= 1) { // Underflow..on root! |
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ret_obj.nodes = _search_subtree(tree, true, ret_obj.nodes, tree); |
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tree.nodes.length = 0; |
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hit_stack.push(tree); |
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count_stack.push(1); |
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} else if(hit_stack.length > 0 && tree.nodes.length < _Min_Width) { // Underflow..AGAIN! |
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ret_obj.nodes = _search_subtree(tree, true, ret_obj.nodes, tree); |
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tree.nodes.length = 0; |
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}else { |
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delete ret_obj.nodes; // Just start resizing |
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} |
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} else { // we are just resizing |
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RTree.Rectangle.make_MBR(tree.nodes, tree); |
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} |
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current_depth -= 1; |
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}while(hit_stack.length > 0); |
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return(ret_array); |
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}; |
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/* choose the best damn node for rectangle to be inserted into |
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* [ leaf node parent ] = _choose_leaf_subtree(rectangle, root to start search at) |
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* @private |
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*/ |
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var _choose_leaf_subtree = function(rect, root) { |
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var best_choice_index = -1; |
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var best_choice_stack = []; |
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var best_choice_area; |
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var load_callback = function(local_tree, local_node){ |
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return(function(data) { |
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local_tree._attach_data(local_node, data); |
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}); |
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}; |
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best_choice_stack.push(root); |
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var nodes = root.nodes; |
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do { |
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if(best_choice_index != -1) { |
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best_choice_stack.push(nodes[best_choice_index]); |
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nodes = nodes[best_choice_index].nodes; |
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best_choice_index = -1; |
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} |
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for(var i = nodes.length-1; i >= 0; i--) { |
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var ltree = nodes[i]; |
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if("leaf" in ltree) { |
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// Bail out of everything and start inserting |
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best_choice_index = -1; |
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break; |
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} /*else if(ltree.load) { |
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throw( "Can't insert into partially loaded tree ... yet!"); |
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//jQuery.getJSON(ltree.load, load_callback(this, ltree)); |
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//delete ltree.load; |
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}*/ |
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// Area of new enlarged rectangle |
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var old_lratio = RTree.Rectangle.squarified_ratio(ltree.w, ltree.h, ltree.nodes.length+1); |
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// Enlarge rectangle to fit new rectangle |
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var nw = Math.max(ltree.x+ltree.w, rect.x+rect.w) - Math.min(ltree.x, rect.x); |
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var nh = Math.max(ltree.y+ltree.h, rect.y+rect.h) - Math.min(ltree.y, rect.y); |
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// Area of new enlarged rectangle |
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var lratio = RTree.Rectangle.squarified_ratio(nw, nh, ltree.nodes.length+2); |
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if(best_choice_index < 0 || Math.abs(lratio - old_lratio) < best_choice_area) { |
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best_choice_area = Math.abs(lratio - old_lratio); best_choice_index = i; |
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} |
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} |
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}while(best_choice_index != -1); |
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return(best_choice_stack); |
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}; |
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/* split a set of nodes into two roughly equally-filled nodes |
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* [ an array of two new arrays of nodes ] = linear_split(array of nodes) |
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* @private |
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*/ |
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var _linear_split = function(nodes) { |
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var n = _pick_linear(nodes); |
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while(nodes.length > 0) { |
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_pick_next(nodes, n[0], n[1]); |
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} |
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return(n); |
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}; |
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/* insert the best source rectangle into the best fitting parent node: a or b |
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* [] = pick_next(array of source nodes, target node array a, target node array b) |
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* @private |
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*/ |
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var _pick_next = function(nodes, a, b) { |
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// Area of new enlarged rectangle |
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var area_a = RTree.Rectangle.squarified_ratio(a.w, a.h, a.nodes.length+1); |
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var area_b = RTree.Rectangle.squarified_ratio(b.w, b.h, b.nodes.length+1); |
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var high_area_delta; |
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var high_area_node; |
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var lowest_growth_group; |
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for(var i = nodes.length-1; i>=0;i--) { |
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var l = nodes[i]; |
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var new_area_a = {}; |
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new_area_a.x = Math.min(a.x, l.x); new_area_a.y = Math.min(a.y, l.y); |
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new_area_a.w = Math.max(a.x+a.w, l.x+l.w) - new_area_a.x; new_area_a.h = Math.max(a.y+a.h, l.y+l.h) - new_area_a.y; |
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var change_new_area_a = Math.abs(RTree.Rectangle.squarified_ratio(new_area_a.w, new_area_a.h, a.nodes.length+2) - area_a); |
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var new_area_b = {}; |
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new_area_b.x = Math.min(b.x, l.x); new_area_b.y = Math.min(b.y, l.y); |
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new_area_b.w = Math.max(b.x+b.w, l.x+l.w) - new_area_b.x; new_area_b.h = Math.max(b.y+b.h, l.y+l.h) - new_area_b.y; |
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var change_new_area_b = Math.abs(RTree.Rectangle.squarified_ratio(new_area_b.w, new_area_b.h, b.nodes.length+2) - area_b); |
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if( !high_area_node || !high_area_delta || Math.abs( change_new_area_b - change_new_area_a ) < high_area_delta ) { |
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high_area_node = i; |
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high_area_delta = Math.abs(change_new_area_b-change_new_area_a); |
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lowest_growth_group = change_new_area_b < change_new_area_a ? b : a; |
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} |
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} |
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var temp_node = nodes.splice(high_area_node, 1)[0]; |
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if(a.nodes.length + nodes.length + 1 <= _Min_Width) { |
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a.nodes.push(temp_node); |
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RTree.Rectangle.expand_rectangle(a, temp_node); |
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} else if(b.nodes.length + nodes.length + 1 <= _Min_Width) { |
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b.nodes.push(temp_node); |
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RTree.Rectangle.expand_rectangle(b, temp_node); |
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} |
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else { |
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lowest_growth_group.nodes.push(temp_node); |
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RTree.Rectangle.expand_rectangle(lowest_growth_group, temp_node); |
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} |
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}; |
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/* pick the "best" two starter nodes to use as seeds using the "linear" criteria |
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* [ an array of two new arrays of nodes ] = pick_linear(array of source nodes) |
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* @private |
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*/ |
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var _pick_linear = function(nodes) { |
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var lowest_high_x = nodes.length-1; |
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var highest_low_x = 0; |
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var lowest_high_y = nodes.length-1; |
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var highest_low_y = 0; |
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var t1, t2; |
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for(var i = nodes.length-2; i>=0;i--) { |
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var l = nodes[i]; |
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if(l.x > nodes[highest_low_x].x ) highest_low_x = i; |
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else if(l.x+l.w < nodes[lowest_high_x].x+nodes[lowest_high_x].w) lowest_high_x = i; |
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if(l.y > nodes[highest_low_y].y ) highest_low_y = i; |
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else if(l.y+l.h < nodes[lowest_high_y].y+nodes[lowest_high_y].h) lowest_high_y = i; |
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} |
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var dx = Math.abs((nodes[lowest_high_x].x+nodes[lowest_high_x].w) - nodes[highest_low_x].x); |
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var dy = Math.abs((nodes[lowest_high_y].y+nodes[lowest_high_y].h) - nodes[highest_low_y].y); |
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if( dx > dy ) { |
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if(lowest_high_x > highest_low_x) { |
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t1 = nodes.splice(lowest_high_x, 1)[0]; |
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t2 = nodes.splice(highest_low_x, 1)[0]; |
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} else { |
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t2 = nodes.splice(highest_low_x, 1)[0]; |
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t1 = nodes.splice(lowest_high_x, 1)[0]; |
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} |
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} else { |
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if(lowest_high_y > highest_low_y) { |
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t1 = nodes.splice(lowest_high_y, 1)[0]; |
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t2 = nodes.splice(highest_low_y, 1)[0]; |
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} else { |
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t2 = nodes.splice(highest_low_y, 1)[0]; |
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t1 = nodes.splice(lowest_high_y, 1)[0]; |
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} |
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} |
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return([{x:t1.x, y:t1.y, w:t1.w, h:t1.h, nodes:[t1]}, |
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{x:t2.x, y:t2.y, w:t2.w, h:t2.h, nodes:[t2]} ]); |
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}; |
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var _attach_data = function(node, more_tree){ |
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node.nodes = more_tree.nodes; |
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node.x = more_tree.x; node.y = more_tree.y; |
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node.w = more_tree.w; node.h = more_tree.h; |
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return(node); |
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}; |
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/* non-recursive internal search function |
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* [ nodes | objects ] = _search_subtree(rectangle, [return node data], [array to fill], root to begin search at) |
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* @private |
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*/ |
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var _search_subtree = function(rect, return_node, return_array, root) { |
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var hit_stack = []; // Contains the elements that overlap |
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if(!RTree.Rectangle.overlap_rectangle(rect, root)) |
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return(return_array); |
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var load_callback = function(local_tree, local_node){ |
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return(function(data) { |
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local_tree._attach_data(local_node, data); |
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}); |
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}; |
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hit_stack.push(root.nodes); |
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do { |
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var nodes = hit_stack.pop(); |
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for(var i = nodes.length-1; i >= 0; i--) { |
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var ltree = nodes[i]; |
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if(RTree.Rectangle.overlap_rectangle(rect, ltree)) { |
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if("nodes" in ltree) { // Not a Leaf |
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hit_stack.push(ltree.nodes); |
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} else if("leaf" in ltree) { // A Leaf !! |
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if(!return_node) |
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return_array.push(ltree.leaf); |
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else |
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return_array.push(ltree); |
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}/* else if("load" in ltree) { // We need to fetch a URL for some more tree data |
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jQuery.getJSON(ltree.load, load_callback(this, ltree)); |
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delete ltree.load; |
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// i++; // Replay this entry |
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}*/ |
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} |
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} |
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}while(hit_stack.length > 0); |
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return(return_array); |
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}; |
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/* non-recursive internal insert function |
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* [] = _insert_subtree(rectangle, object to insert, root to begin insertion at) |
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* @private |
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*/ |
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var _insert_subtree = function(node, root) { |
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var bc; // Best Current node |
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// Initial insertion is special because we resize the Tree and we don't |
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// care about any overflow (seriously, how can the first object overflow?) |
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if(root.nodes.length == 0) { |
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root.x = node.x; root.y = node.y; |
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root.w = node.w; root.h = node.h; |
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root.nodes.push(node); |
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return; |
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} |
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// Find the best fitting leaf node |
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// choose_leaf returns an array of all tree levels (including root) |
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// that were traversed while trying to find the leaf |
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var tree_stack = _choose_leaf_subtree(node, root); |
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var ret_obj = node;//{x:rect.x,y:rect.y,w:rect.w,h:rect.h, leaf:obj}; |
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// Walk back up the tree resizing and inserting as needed |
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do { |
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//handle the case of an empty node (from a split) |
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if(bc && "nodes" in bc && bc.nodes.length == 0) { |
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var pbc = bc; // Past bc |
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bc = tree_stack.pop(); |
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for(var t=0;t<bc.nodes.length;t++) |
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if(bc.nodes[t] === pbc || bc.nodes[t].nodes.length == 0) { |
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bc.nodes.splice(t, 1); |
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break; |
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} |
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} else { |
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bc = tree_stack.pop(); |
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} |
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// If there is data attached to this ret_obj |
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if("leaf" in ret_obj || "nodes" in ret_obj || isArray(ret_obj)) { |
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// Do Insert |
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if(isArray(ret_obj)) { |
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for(var ai = 0; ai < ret_obj.length; ai++) { |
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RTree.Rectangle.expand_rectangle(bc, ret_obj[ai]); |
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} |
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bc.nodes = bc.nodes.concat(ret_obj); |
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} else { |
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RTree.Rectangle.expand_rectangle(bc, ret_obj); |
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bc.nodes.push(ret_obj); // Do Insert |
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} |
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if(bc.nodes.length <= _Max_Width) { // Start Resizeing Up the Tree |
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ret_obj = {x:bc.x,y:bc.y,w:bc.w,h:bc.h}; |
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} else { // Otherwise Split this Node |
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// linear_split() returns an array containing two new nodes |
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// formed from the split of the previous node's overflow |
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var a = _linear_split(bc.nodes); |
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ret_obj = a;//[1]; |
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if(tree_stack.length < 1) { // If are splitting the root.. |
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bc.nodes.push(a[0]); |
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tree_stack.push(bc); // Reconsider the root element |
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ret_obj = a[1]; |
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} /*else { |
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delete bc; |
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}*/ |
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} |
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} else { // Otherwise Do Resize |
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//Just keep applying the new bounding rectangle to the parents.. |
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RTree.Rectangle.expand_rectangle(bc, ret_obj); |
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ret_obj = {x:bc.x,y:bc.y,w:bc.w,h:bc.h}; |
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} |
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} while(tree_stack.length > 0); |
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}; |
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/* quick 'n' dirty function for plugins or manually drawing the tree |
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* [ tree ] = RTree.get_tree(): returns the raw tree data. useful for adding |
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* @public |
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* !! DEPRECATED !! |
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*/ |
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this.get_tree = function() { |
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return _T; |
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}; |
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/* quick 'n' dirty function for plugins or manually loading the tree |
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* [ tree ] = RTree.set_tree(sub-tree, where to attach): returns the raw tree data. useful for adding |
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* @public |
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* !! DEPRECATED !! |
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*/ |
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this.set_tree = function(new_tree, where) { |
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if(!where) |
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where = _T; |
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return(_attach_data(where, new_tree)); |
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}; |
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/* non-recursive search function |
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* [ nodes | objects ] = RTree.search(rectangle, [return node data], [array to fill]) |
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* @public |
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*/ |
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this.search = function(rect, return_node, return_array) { |
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if(arguments.length < 1) |
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throw "Wrong number of arguments. RT.Search requires at least a bounding rectangle." |
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switch(arguments.length) { |
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case 1: |
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arguments[1] = false;// Add an "return node" flag - may be removed in future |
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case 2: |
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arguments[2] = []; // Add an empty array to contain results |
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case 3: |
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arguments[3] = _T; // Add root node to end of argument list |
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default: |
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arguments.length = 4; |
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} |
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return(_search_subtree.apply(this, arguments)); |
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}; |
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/* partially-recursive toJSON function |
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* [ string ] = RTree.toJSON([rectangle], [tree]) |
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* @public |
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*/ |
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this.toJSON = function(rect, tree) { |
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var hit_stack = []; // Contains the elements that overlap |
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var count_stack = []; // Contains the elements that overlap |
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var return_stack = {}; // Contains the elements that overlap |
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var max_depth = 3; // This triggers recursion and tree-splitting |
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var current_depth = 1; |
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var return_string = ""; |
|
|
|
if(rect && !RTree.Rectangle.overlap_rectangle(rect, _T)) |
|
return ""; |
|
|
|
if(!tree) { |
|
count_stack.push(_T.nodes.length); |
|
hit_stack.push(_T.nodes); |
|
return_string += "var main_tree = {x:"+_T.x.toFixed()+",y:"+_T.y.toFixed()+",w:"+_T.w.toFixed()+",h:"+_T.h.toFixed()+",nodes:["; |
|
} else { |
|
max_depth += 4; |
|
count_stack.push(tree.nodes.length); |
|
hit_stack.push(tree.nodes); |
|
return_string += "var main_tree = {x:"+tree.x.toFixed()+",y:"+tree.y.toFixed()+",w:"+tree.w.toFixed()+",h:"+tree.h.toFixed()+",nodes:["; |
|
} |
|
|
|
do { |
|
var nodes = hit_stack.pop(); |
|
var i = count_stack.pop()-1; |
|
|
|
if(i >= 0 && i < nodes.length-1) |
|
return_string += ","; |
|
|
|
while(i >= 0) { |
|
var ltree = nodes[i]; |
|
if(!rect || RTree.Rectangle.overlap_rectangle(rect, ltree)) { |
|
if(ltree.nodes) { // Not a Leaf |
|
if(current_depth >= max_depth) { |
|
var len = return_stack.length; |
|
var nam = _name_to_id("saved_subtree"); |
|
return_string += "{x:"+ltree.x.toFixed()+",y:"+ltree.y.toFixed()+",w:"+ltree.w.toFixed()+",h:"+ltree.h.toFixed()+",load:'"+nam+".js'}"; |
|
return_stack[nam] = this.toJSON(rect, ltree); |
|
if(i > 0) |
|
return_string += "," |
|
} else { |
|
return_string += "{x:"+ltree.x.toFixed()+",y:"+ltree.y.toFixed()+",w:"+ltree.w.toFixed()+",h:"+ltree.h.toFixed()+",nodes:["; |
|
current_depth += 1; |
|
count_stack.push(i); |
|
hit_stack.push(nodes); |
|
nodes = ltree.nodes; |
|
i = ltree.nodes.length; |
|
} |
|
} else if(ltree.leaf) { // A Leaf !! |
|
var data = ltree.leaf.toJSON ? ltree.leaf.toJSON() : JSON.stringify(ltree.leaf); |
|
return_string += "{x:"+ltree.x.toFixed()+",y:"+ltree.y.toFixed()+",w:"+ltree.w.toFixed()+",h:"+ltree.h.toFixed()+",leaf:" + data + "}"; |
|
if(i > 0) |
|
return_string += "," |
|
} else if(ltree.load) { // A load |
|
return_string += "{x:"+ltree.x.toFixed()+",y:"+ltree.y.toFixed()+",w:"+ltree.w.toFixed()+",h:"+ltree.h.toFixed()+",load:'" + ltree.load + "'}"; |
|
if(i > 0) |
|
return_string += "," |
|
} |
|
} |
|
i -= 1; |
|
} |
|
if(i < 0) { |
|
return_string += "]}"; current_depth -= 1; |
|
} |
|
}while(hit_stack.length > 0); |
|
|
|
return_string+=";"; |
|
|
|
for(var my_key in return_stack) { |
|
return_string += "\nvar " + my_key + " = function(){" + return_stack[my_key] + " return(main_tree);};"; |
|
} |
|
return(return_string); |
|
}; |
|
|
|
/* non-recursive function that deletes a specific |
|
* [ number ] = RTree.remove(rectangle, obj) |
|
*/ |
|
this.remove = function(rect, obj) { |
|
if(arguments.length < 1) |
|
throw "Wrong number of arguments. RT.remove requires at least a bounding rectangle." |
|
|
|
switch(arguments.length) { |
|
case 1: |
|
arguments[1] = false; // obj == false for conditionals |
|
case 2: |
|
arguments[2] = _T; // Add root node to end of argument list |
|
default: |
|
arguments.length = 3; |
|
} |
|
if(arguments[1] === false) { // Do area-wide delete |
|
var numberdeleted = 0; |
|
var ret_array = []; |
|
do { |
|
numberdeleted=ret_array.length; |
|
ret_array = ret_array.concat(_remove_subtree.apply(this, arguments)); |
|
}while( numberdeleted != ret_array.length); |
|
return ret_array; |
|
} |
|
else { // Delete a specific item |
|
return(_remove_subtree.apply(this, arguments)); |
|
} |
|
}; |
|
|
|
/* non-recursive insert function |
|
* [] = RTree.insert(rectangle, object to insert) |
|
*/ |
|
this.insert = function(rect, obj) { |
|
if(arguments.length < 2) |
|
throw "Wrong number of arguments. RT.Insert requires at least a bounding rectangle and an object." |
|
|
|
return(_insert_subtree({x:rect.x,y:rect.y,w:rect.w,h:rect.h,leaf:obj}, _T)); |
|
}; |
|
|
|
/* non-recursive delete function |
|
* [deleted object] = RTree.remove(rectangle, [object to delete]) |
|
*/ |
|
|
|
//End of RTree |
|
}; |
|
|
|
/* Rectangle - Generic rectangle object - Not yet used */ |
|
|
|
RTree.Rectangle = function(ix, iy, iw, ih) { // new Rectangle(bounds) or new Rectangle(x, y, w, h) |
|
var x, x2, y, y2, w, h; |
|
|
|
if(ix.x) { |
|
x = ix.x; y = ix.y; |
|
if(ix.w !== 0 && !ix.w && ix.x2){ |
|
w = ix.x2-ix.x; h = ix.y2-ix.y; |
|
} else { |
|
w = ix.w; h = ix.h; |
|
} |
|
x2 = x + w; y2 = y + h; // For extra fastitude |
|
} else { |
|
x = ix; y = iy; w = iw; h = ih; |
|
x2 = x + w; y2 = y + h; // For extra fastitude |
|
} |
|
|
|
this.x1 = this.x = function(){return x;}; |
|
this.y1 = this.y = function(){return y;}; |
|
this.x2 = function(){return x2;}; |
|
this.y2 = function(){return y2;}; |
|
this.w = function(){return w;}; |
|
this.h = function(){return h;}; |
|
|
|
this.toJSON = function() { |
|
return('{"x":'+x.toString()+', "y":'+y.toString()+', "w":'+w.toString()+', "h":'+h.toString()+'}'); |
|
}; |
|
|
|
this.overlap = function(a) { |
|
return(this.x() < a.x2() && this.x2() > a.x() && this.y() < a.y2() && this.y2() > a.y()); |
|
}; |
|
|
|
this.expand = function(a) { |
|
var nx = Math.min(this.x(), a.x()); |
|
var ny = Math.min(this.y(), a.y()); |
|
w = Math.max(this.x2(), a.x2()) - nx; |
|
h = Math.max(this.y2(), a.y2()) - ny; |
|
x = nx; y = ny; |
|
return(this); |
|
}; |
|
|
|
this.setRect = function(ix, iy, iw, ih) { |
|
var x, x2, y, y2, w, h; |
|
if(ix.x) { |
|
x = ix.x; y = ix.y; |
|
if(ix.w !== 0 && !ix.w && ix.x2) { |
|
w = ix.x2-ix.x; h = ix.y2-ix.y; |
|
} else { |
|
w = ix.w; h = ix.h; |
|
} |
|
x2 = x + w; y2 = y + h; // For extra fastitude |
|
} else { |
|
x = ix; y = iy; w = iw; h = ih; |
|
x2 = x + w; y2 = y + h; // For extra fastitude |
|
} |
|
}; |
|
//End of RTree.Rectangle |
|
}; |
|
|
|
|
|
/* returns true if rectangle 1 overlaps rectangle 2 |
|
* [ boolean ] = overlap_rectangle(rectangle a, rectangle b) |
|
* @static function |
|
*/ |
|
RTree.Rectangle.overlap_rectangle = function(a, b) { |
|
return(a.x < (b.x+b.w) && (a.x+a.w) > b.x && a.y < (b.y+b.h) && (a.y+a.h) > b.y); |
|
}; |
|
|
|
/* returns true if rectangle a is contained in rectangle b |
|
* [ boolean ] = contains_rectangle(rectangle a, rectangle b) |
|
* @static function |
|
*/ |
|
RTree.Rectangle.contains_rectangle = function(a, b) { |
|
return((a.x+a.w) <= (b.x+b.w) && a.x >= b.x && (a.y+a.h) <= (b.y+b.h) && a.y >= b.y); |
|
}; |
|
|
|
/* expands rectangle A to include rectangle B, rectangle B is untouched |
|
* [ rectangle a ] = expand_rectangle(rectangle a, rectangle b) |
|
* @static function |
|
*/ |
|
RTree.Rectangle.expand_rectangle = function(a, b) { |
|
var nx = Math.min(a.x, b.x); |
|
var ny = Math.min(a.y, b.y); |
|
a.w = Math.max(a.x+a.w, b.x+b.w) - nx; |
|
a.h = Math.max(a.y+a.h, b.y+b.h) - ny; |
|
a.x = nx; a.y = ny; |
|
return(a); |
|
}; |
|
|
|
/* generates a minimally bounding rectangle for all rectangles in |
|
* array "nodes". If rect is set, it is modified into the MBR. Otherwise, |
|
* a new rectangle is generated and returned. |
|
* [ rectangle a ] = make_MBR(rectangle array nodes, rectangle rect) |
|
* @static function |
|
*/ |
|
RTree.Rectangle.make_MBR = function(nodes, rect) { |
|
if(nodes.length < 1) |
|
return({x:0, y:0, w:0, h:0}); |
|
//throw "make_MBR: nodes must contain at least one rectangle!"; |
|
if(!rect) |
|
rect = {x:nodes[0].x, y:nodes[0].y, w:nodes[0].w, h:nodes[0].h}; |
|
else |
|
rect.x = nodes[0].x; rect.y = nodes[0].y; rect.w = nodes[0].w; rect.h = nodes[0].h; |
|
|
|
for(var i = nodes.length-1; i>0; i--) |
|
RTree.Rectangle.expand_rectangle(rect, nodes[i]); |
|
|
|
return(rect); |
|
}; |