diff --git a/js/rtree/rbush.js b/js/rtree/rbush.js new file mode 100644 index 0000000..8a6492e --- /dev/null +++ b/js/rtree/rbush.js @@ -0,0 +1,626 @@ +/* https://github.com/mourner/rbush*/ + +(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.rbush = f()}})(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o= 0) { + if (insertPath[level].children.length > this._maxEntries) { + this._split(insertPath, level); + level--; + } else break; + } + + // adjust bboxes along the insertion path + this._adjustParentBBoxes(bbox, insertPath, level); + }, + + // split overflowed node into two + _split: function (insertPath, level) { + + var node = insertPath[level], + M = node.children.length, + m = this._minEntries; + + this._chooseSplitAxis(node, m, M); + + var splitIndex = this._chooseSplitIndex(node, m, M); + + var newNode = createNode(node.children.splice(splitIndex, node.children.length - splitIndex)); + newNode.height = node.height; + newNode.leaf = node.leaf; + + calcBBox(node, this.toBBox); + calcBBox(newNode, this.toBBox); + + if (level) insertPath[level - 1].children.push(newNode); + else this._splitRoot(node, newNode); + }, + + _splitRoot: function (node, newNode) { + // split root node + this.data = createNode([node, newNode]); + this.data.height = node.height + 1; + this.data.leaf = false; + calcBBox(this.data, this.toBBox); + }, + + _chooseSplitIndex: function (node, m, M) { + + var i, bbox1, bbox2, overlap, area, minOverlap, minArea, index; + + minOverlap = minArea = Infinity; + + for (i = m; i <= M - m; i++) { + bbox1 = distBBox(node, 0, i, this.toBBox); + bbox2 = distBBox(node, i, M, this.toBBox); + + overlap = intersectionArea(bbox1, bbox2); + area = bboxArea(bbox1) + bboxArea(bbox2); + + // choose distribution with minimum overlap + if (overlap < minOverlap) { + minOverlap = overlap; + index = i; + + minArea = area < minArea ? area : minArea; + + } else if (overlap === minOverlap) { + // otherwise choose distribution with minimum area + if (area < minArea) { + minArea = area; + index = i; + } + } + } + + return index; + }, + + // sorts node children by the best axis for split + _chooseSplitAxis: function (node, m, M) { + + var compareMinX = node.leaf ? this.compareMinX : compareNodeMinX, + compareMinY = node.leaf ? this.compareMinY : compareNodeMinY, + xMargin = this._allDistMargin(node, m, M, compareMinX), + yMargin = this._allDistMargin(node, m, M, compareMinY); + + // if total distributions margin value is minimal for x, sort by minX, + // otherwise it's already sorted by minY + if (xMargin < yMargin) node.children.sort(compareMinX); + }, + + // total margin of all possible split distributions where each node is at least m full + _allDistMargin: function (node, m, M, compare) { + + node.children.sort(compare); + + var toBBox = this.toBBox, + leftBBox = distBBox(node, 0, m, toBBox), + rightBBox = distBBox(node, M - m, M, toBBox), + margin = bboxMargin(leftBBox) + bboxMargin(rightBBox), + i, child; + + for (i = m; i < M - m; i++) { + child = node.children[i]; + extend(leftBBox, node.leaf ? toBBox(child) : child); + margin += bboxMargin(leftBBox); + } + + for (i = M - m - 1; i >= m; i--) { + child = node.children[i]; + extend(rightBBox, node.leaf ? toBBox(child) : child); + margin += bboxMargin(rightBBox); + } + + return margin; + }, + + _adjustParentBBoxes: function (bbox, path, level) { + // adjust bboxes along the given tree path + for (var i = level; i >= 0; i--) { + extend(path[i], bbox); + } + }, + + _condense: function (path) { + // go through the path, removing empty nodes and updating bboxes + for (var i = path.length - 1, siblings; i >= 0; i--) { + if (path[i].children.length === 0) { + if (i > 0) { + siblings = path[i - 1].children; + siblings.splice(siblings.indexOf(path[i]), 1); + + } else this.clear(); + + } else calcBBox(path[i], this.toBBox); + } + }, + + _initFormat: function (format) { + // data format (minX, minY, maxX, maxY accessors) + + // uses eval-type function compilation instead of just accepting a toBBox function + // because the algorithms are very sensitive to sorting functions performance, + // so they should be dead simple and without inner calls + + var compareArr = ['return a', ' - b', ';']; + + this.compareMinX = new Function('a', 'b', compareArr.join(format[0])); + this.compareMinY = new Function('a', 'b', compareArr.join(format[1])); + + this.toBBox = new Function('a', + 'return {minX: a' + format[0] + + ', minY: a' + format[1] + + ', maxX: a' + format[2] + + ', maxY: a' + format[3] + '};'); + } +}; + +function findItem(item, items, equalsFn) { + if (!equalsFn) return items.indexOf(item); + + for (var i = 0; i < items.length; i++) { + if (equalsFn(item, items[i])) return i; + } + return -1; +} + +// calculate node's bbox from bboxes of its children +function calcBBox(node, toBBox) { + distBBox(node, 0, node.children.length, toBBox, node); +} + +// min bounding rectangle of node children from k to p-1 +function distBBox(node, k, p, toBBox, destNode) { + if (!destNode) destNode = createNode(null); + destNode.minX = Infinity; + destNode.minY = Infinity; + destNode.maxX = -Infinity; + destNode.maxY = -Infinity; + + for (var i = k, child; i < p; i++) { + child = node.children[i]; + extend(destNode, node.leaf ? toBBox(child) : child); + } + + return destNode; +} + +function extend(a, b) { + a.minX = Math.min(a.minX, b.minX); + a.minY = Math.min(a.minY, b.minY); + a.maxX = Math.max(a.maxX, b.maxX); + a.maxY = Math.max(a.maxY, b.maxY); + return a; +} + +function compareNodeMinX(a, b) { return a.minX - b.minX; } +function compareNodeMinY(a, b) { return a.minY - b.minY; } + +function bboxArea(a) { return (a.maxX - a.minX) * (a.maxY - a.minY); } +function bboxMargin(a) { return (a.maxX - a.minX) + (a.maxY - a.minY); } + +function enlargedArea(a, b) { + return (Math.max(b.maxX, a.maxX) - Math.min(b.minX, a.minX)) * + (Math.max(b.maxY, a.maxY) - Math.min(b.minY, a.minY)); +} + +function intersectionArea(a, b) { + var minX = Math.max(a.minX, b.minX), + minY = Math.max(a.minY, b.minY), + maxX = Math.min(a.maxX, b.maxX), + maxY = Math.min(a.maxY, b.maxY); + + return Math.max(0, maxX - minX) * + Math.max(0, maxY - minY); +} + +function contains(a, b) { + return a.minX <= b.minX && + a.minY <= b.minY && + b.maxX <= a.maxX && + b.maxY <= a.maxY; +} + +function intersects(a, b) { + return b.minX <= a.maxX && + b.minY <= a.maxY && + b.maxX >= a.minX && + b.maxY >= a.minY; +} + +function createNode(children) { + return { + children: children, + height: 1, + leaf: true, + minX: Infinity, + minY: Infinity, + maxX: -Infinity, + maxY: -Infinity + }; +} + +// sort an array so that items come in groups of n unsorted items, with groups sorted between each other; +// combines selection algorithm with binary divide & conquer approach + +function multiSelect(arr, left, right, n, compare) { + var stack = [left, right], + mid; + + while (stack.length) { + right = stack.pop(); + left = stack.pop(); + + if (right - left <= n) continue; + + mid = left + Math.ceil((right - left) / n / 2) * n; + quickselect(arr, mid, left, right, compare); + + stack.push(left, mid, mid, right); + } +} + +},{"quickselect":2}],2:[function(require,module,exports){ +'use strict'; + +module.exports = partialSort; + +// Floyd-Rivest selection algorithm: +// Rearrange items so that all items in the [left, k] range are smaller than all items in (k, right]; +// The k-th element will have the (k - left + 1)th smallest value in [left, right] + +function partialSort(arr, k, left, right, compare) { + + while (right > left) { + if (right - left > 600) { + var n = right - left + 1; + var m = k - left + 1; + var z = Math.log(n); + var s = 0.5 * Math.exp(2 * z / 3); + var sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * (m - n / 2 < 0 ? -1 : 1); + var newLeft = Math.max(left, Math.floor(k - m * s / n + sd)); + var newRight = Math.min(right, Math.floor(k + (n - m) * s / n + sd)); + partialSort(arr, k, newLeft, newRight, compare); + } + + var t = arr[k]; + var i = left; + var j = right; + + swap(arr, left, k); + if (compare(arr[right], t) > 0) swap(arr, left, right); + + while (i < j) { + swap(arr, i, j); + i++; + j--; + while (compare(arr[i], t) < 0) i++; + while (compare(arr[j], t) > 0) j--; + } + + if (compare(arr[left], t) === 0) swap(arr, left, j); + else { + j++; + swap(arr, j, right); + } + + if (j <= k) left = j + 1; + if (k <= j) right = j - 1; + } +} + +function swap(arr, i, j) { + var tmp = arr[i]; + arr[i] = arr[j]; + arr[j] = tmp; +} + +function defaultCompare(a, b) { + return a < b ? -1 : a > b ? 1 : 0; +} + +},{}]},{},[1])(1) +});