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21
node_modules/rbush/LICENSE
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21
node_modules/rbush/LICENSE
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MIT License
|
||||
|
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Copyright (c) 2016 Vladimir Agafonkin
|
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|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
of this software and associated documentation files (the "Software"), to deal
|
||||
in the Software without restriction, including without limitation the rights
|
||||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
copies of the Software, and to permit persons to whom the Software is
|
||||
furnished to do so, subject to the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be included in
|
||||
all copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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THE SOFTWARE.
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218
node_modules/rbush/README.md
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node_modules/rbush/README.md
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RBush
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=====
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|
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RBush is a high-performance JavaScript library for 2D **spatial indexing** of points and rectangles.
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It's based on an optimized **R-tree** data structure with **bulk insertion** support.
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|
||||
*Spatial index* is a special data structure for points and rectangles
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that allows you to perform queries like "all items within this bounding box" very efficiently
|
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(e.g. hundreds of times faster than looping over all items).
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It's most commonly used in maps and data visualizations.
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|
||||
[](https://travis-ci.org/mourner/rbush)
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||||
[](https://github.com/mourner/projects)
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||||
|
||||
## Demos
|
||||
|
||||
The demos contain visualization of trees generated from 50k bulk-loaded random points.
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Open web console to see benchmarks;
|
||||
click on buttons to insert or remove items;
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click to perform search under the cursor.
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|
||||
* [randomly clustered data](http://mourner.github.io/rbush/viz/viz-cluster.html)
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||||
* [uniformly distributed random data](http://mourner.github.io/rbush/viz/viz-uniform.html)
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|
||||
## Install
|
||||
|
||||
Install with NPM (`npm install rbush`), or use CDN links for browsers:
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||||
[rbush.js](https://unpkg.com/rbush@2.0.1/rbush.js),
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[rbush.min.js](https://unpkg.com/rbush@2.0.1/rbush.min.js)
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|
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## Usage
|
||||
|
||||
### Creating a Tree
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|
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```js
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const tree = new RBush();
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```
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|
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An optional argument to `RBush` defines the maximum number of entries in a tree node.
|
||||
`9` (used by default) is a reasonable choice for most applications.
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||||
Higher value means faster insertion and slower search, and vice versa.
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|
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```js
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const tree = new RBush(16);
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```
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|
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### Adding Data
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|
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Insert an item:
|
||||
|
||||
```js
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const item = {
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minX: 20,
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minY: 40,
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maxX: 30,
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maxY: 50,
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foo: 'bar'
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||||
};
|
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tree.insert(item);
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```
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|
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### Removing Data
|
||||
|
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Remove a previously inserted item:
|
||||
|
||||
```js
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tree.remove(item);
|
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```
|
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|
||||
By default, RBush removes objects by reference.
|
||||
However, you can pass a custom `equals` function to compare by value for removal,
|
||||
which is useful when you only have a copy of the object you need removed (e.g. loaded from server):
|
||||
|
||||
```js
|
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tree.remove(itemCopy, (a, b) => {
|
||||
return a.id === b.id;
|
||||
});
|
||||
```
|
||||
|
||||
Remove all items:
|
||||
|
||||
```js
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tree.clear();
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```
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|
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### Data Format
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|
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By default, RBush assumes the format of data points to be an object
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with `minX`, `minY`, `maxX` and `maxY` properties.
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You can customize this by overriding `toBBox`, `compareMinX` and `compareMinY` methods like this:
|
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|
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```js
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class MyRBush extends RBush {
|
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toBBox([x, y]) { return {minX: x, minY: y, maxX: x, maxY: y}; }
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compareMinX(a, b) { return a.x - b.x; }
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compareMinY(a, b) { return a.y - b.y; }
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||||
}
|
||||
const tree = new MyRBush();
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tree.insert([20, 50]); // accepts [x, y] points
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```
|
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|
||||
If you're indexing a static list of points (you don't need to add/remove points after indexing), you should use [kdbush](https://github.com/mourner/kdbush) which performs point indexing 5-8x faster than RBush.
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|
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### Bulk-Inserting Data
|
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|
||||
Bulk-insert the given data into the tree:
|
||||
|
||||
```js
|
||||
tree.load([item1, item2, ...]);
|
||||
```
|
||||
|
||||
Bulk insertion is usually ~2-3 times faster than inserting items one by one.
|
||||
After bulk loading (bulk insertion into an empty tree),
|
||||
subsequent query performance is also ~20-30% better.
|
||||
|
||||
Note that when you do bulk insertion into an existing tree,
|
||||
it bulk-loads the given data into a separate tree
|
||||
and inserts the smaller tree into the larger tree.
|
||||
This means that bulk insertion works very well for clustered data
|
||||
(where items in one update are close to each other),
|
||||
but makes query performance worse if the data is scattered.
|
||||
|
||||
### Search
|
||||
|
||||
```js
|
||||
const result = tree.search({
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||||
minX: 40,
|
||||
minY: 20,
|
||||
maxX: 80,
|
||||
maxY: 70
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||||
});
|
||||
```
|
||||
|
||||
Returns an array of data items (points or rectangles) that the given bounding box intersects.
|
||||
|
||||
Note that the `search` method accepts a bounding box in `{minX, minY, maxX, maxY}` format
|
||||
regardless of the data format.
|
||||
|
||||
```js
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||||
const allItems = tree.all();
|
||||
```
|
||||
|
||||
Returns all items of the tree.
|
||||
|
||||
### Collisions
|
||||
|
||||
```js
|
||||
const result = tree.collides({minX: 40, minY: 20, maxX: 80, maxY: 70});
|
||||
```
|
||||
|
||||
Returns `true` if there are any items intersecting the given bounding box, otherwise `false`.
|
||||
|
||||
|
||||
### Export and Import
|
||||
|
||||
```js
|
||||
// export data as JSON object
|
||||
const treeData = tree.toJSON();
|
||||
|
||||
// import previously exported data
|
||||
const tree = rbush(9).fromJSON(treeData);
|
||||
```
|
||||
|
||||
Importing and exporting as JSON allows you to use RBush on both the server (using Node.js) and the browser combined,
|
||||
e.g. first indexing the data on the server and and then importing the resulting tree data on the client for searching.
|
||||
|
||||
Note that the `nodeSize` option passed to the constructor must be the same in both trees for export/import to work properly.
|
||||
|
||||
### K-Nearest Neighbors
|
||||
|
||||
For "_k_ nearest neighbors around a point" type of queries for RBush,
|
||||
check out [rbush-knn](https://github.com/mourner/rbush-knn).
|
||||
|
||||
## Performance
|
||||
|
||||
The following sample performance test was done by generating
|
||||
random uniformly distributed rectangles of ~0.01% area and setting `maxEntries` to `16`
|
||||
(see `debug/perf.js` script).
|
||||
Performed with Node.js v6.2.2 on a Retina Macbook Pro 15 (mid-2012).
|
||||
|
||||
Test | RBush | [old RTree](https://github.com/imbcmdth/RTree) | Improvement
|
||||
---------------------------- | ------ | ------ | ----
|
||||
insert 1M items one by one | 3.18s | 7.83s | 2.5x
|
||||
1000 searches of 0.01% area | 0.03s | 0.93s | 30x
|
||||
1000 searches of 1% area | 0.35s | 2.27s | 6.5x
|
||||
1000 searches of 10% area | 2.18s | 9.53s | 4.4x
|
||||
remove 1000 items one by one | 0.02s | 1.18s | 50x
|
||||
bulk-insert 1M items | 1.25s | n/a | 6.7x
|
||||
|
||||
## Algorithms Used
|
||||
|
||||
* single insertion: non-recursive R-tree insertion with overlap minimizing split routine from R\*-tree (split is very effective in JS, while other R\*-tree modifications like reinsertion on overflow and overlap minimizing subtree search are too slow and not worth it)
|
||||
* single deletion: non-recursive R-tree deletion using depth-first tree traversal with free-at-empty strategy (entries in underflowed nodes are not reinserted, instead underflowed nodes are kept in the tree and deleted only when empty, which is a good compromise of query vs removal performance)
|
||||
* bulk loading: OMT algorithm (Overlap Minimizing Top-down Bulk Loading) combined with Floyd–Rivest selection algorithm
|
||||
* bulk insertion: STLT algorithm (Small-Tree-Large-Tree)
|
||||
* search: standard non-recursive R-tree search
|
||||
|
||||
## Papers
|
||||
|
||||
* [R-trees: a Dynamic Index Structure For Spatial Searching](http://www-db.deis.unibo.it/courses/SI-LS/papers/Gut84.pdf)
|
||||
* [The R*-tree: An Efficient and Robust Access Method for Points and Rectangles+](http://dbs.mathematik.uni-marburg.de/publications/myPapers/1990/BKSS90.pdf)
|
||||
* [OMT: Overlap Minimizing Top-down Bulk Loading Algorithm for R-tree](http://ftp.informatik.rwth-aachen.de/Publications/CEUR-WS/Vol-74/files/FORUM_18.pdf)
|
||||
* [Bulk Insertions into R-Trees Using the Small-Tree-Large-Tree Approach](http://www.cs.arizona.edu/~bkmoon/papers/dke06-bulk.pdf)
|
||||
* [R-Trees: Theory and Applications (book)](http://www.apress.com/9781852339777)
|
||||
|
||||
## Development
|
||||
|
||||
```bash
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||||
npm install # install dependencies
|
||||
|
||||
npm test # lint the code and run tests
|
||||
npm run perf # run performance benchmarks
|
||||
npm run cov # report test coverage
|
||||
```
|
||||
|
||||
## Compatibility
|
||||
|
||||
RBush should run on Node and all major browsers that support ES5.
|
||||
512
node_modules/rbush/index.js
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512
node_modules/rbush/index.js
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||||
import quickselect from 'quickselect';
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||||
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||||
export default class RBush {
|
||||
constructor(maxEntries = 9) {
|
||||
// max entries in a node is 9 by default; min node fill is 40% for best performance
|
||||
this._maxEntries = Math.max(4, maxEntries);
|
||||
this._minEntries = Math.max(2, Math.ceil(this._maxEntries * 0.4));
|
||||
this.clear();
|
||||
}
|
||||
|
||||
all() {
|
||||
return this._all(this.data, []);
|
||||
}
|
||||
|
||||
search(bbox) {
|
||||
let node = this.data;
|
||||
const result = [];
|
||||
|
||||
if (!intersects(bbox, node)) return result;
|
||||
|
||||
const toBBox = this.toBBox;
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||||
const nodesToSearch = [];
|
||||
|
||||
while (node) {
|
||||
for (let i = 0; i < node.children.length; i++) {
|
||||
const child = node.children[i];
|
||||
const childBBox = node.leaf ? toBBox(child) : child;
|
||||
|
||||
if (intersects(bbox, childBBox)) {
|
||||
if (node.leaf) result.push(child);
|
||||
else if (contains(bbox, childBBox)) this._all(child, result);
|
||||
else nodesToSearch.push(child);
|
||||
}
|
||||
}
|
||||
node = nodesToSearch.pop();
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
collides(bbox) {
|
||||
let node = this.data;
|
||||
|
||||
if (!intersects(bbox, node)) return false;
|
||||
|
||||
const nodesToSearch = [];
|
||||
while (node) {
|
||||
for (let i = 0; i < node.children.length; i++) {
|
||||
const child = node.children[i];
|
||||
const childBBox = node.leaf ? this.toBBox(child) : child;
|
||||
|
||||
if (intersects(bbox, childBBox)) {
|
||||
if (node.leaf || contains(bbox, childBBox)) return true;
|
||||
nodesToSearch.push(child);
|
||||
}
|
||||
}
|
||||
node = nodesToSearch.pop();
|
||||
}
|
||||
|
||||
return false;
|
||||
}
|
||||
|
||||
load(data) {
|
||||
if (!(data && data.length)) return this;
|
||||
|
||||
if (data.length < this._minEntries) {
|
||||
for (let i = 0; i < data.length; i++) {
|
||||
this.insert(data[i]);
|
||||
}
|
||||
return this;
|
||||
}
|
||||
|
||||
// recursively build the tree with the given data from scratch using OMT algorithm
|
||||
let node = this._build(data.slice(), 0, data.length - 1, 0);
|
||||
|
||||
if (!this.data.children.length) {
|
||||
// save as is if tree is empty
|
||||
this.data = node;
|
||||
|
||||
} else if (this.data.height === node.height) {
|
||||
// split root if trees have the same height
|
||||
this._splitRoot(this.data, node);
|
||||
|
||||
} else {
|
||||
if (this.data.height < node.height) {
|
||||
// swap trees if inserted one is bigger
|
||||
const tmpNode = this.data;
|
||||
this.data = node;
|
||||
node = tmpNode;
|
||||
}
|
||||
|
||||
// insert the small tree into the large tree at appropriate level
|
||||
this._insert(node, this.data.height - node.height - 1, true);
|
||||
}
|
||||
|
||||
return this;
|
||||
}
|
||||
|
||||
insert(item) {
|
||||
if (item) this._insert(item, this.data.height - 1);
|
||||
return this;
|
||||
}
|
||||
|
||||
clear() {
|
||||
this.data = createNode([]);
|
||||
return this;
|
||||
}
|
||||
|
||||
remove(item, equalsFn) {
|
||||
if (!item) return this;
|
||||
|
||||
let node = this.data;
|
||||
const bbox = this.toBBox(item);
|
||||
const path = [];
|
||||
const indexes = [];
|
||||
let i, parent, goingUp;
|
||||
|
||||
// depth-first iterative tree traversal
|
||||
while (node || path.length) {
|
||||
|
||||
if (!node) { // go up
|
||||
node = path.pop();
|
||||
parent = path[path.length - 1];
|
||||
i = indexes.pop();
|
||||
goingUp = true;
|
||||
}
|
||||
|
||||
if (node.leaf) { // check current node
|
||||
const index = findItem(item, node.children, equalsFn);
|
||||
|
||||
if (index !== -1) {
|
||||
// item found, remove the item and condense tree upwards
|
||||
node.children.splice(index, 1);
|
||||
path.push(node);
|
||||
this._condense(path);
|
||||
return this;
|
||||
}
|
||||
}
|
||||
|
||||
if (!goingUp && !node.leaf && contains(node, bbox)) { // go down
|
||||
path.push(node);
|
||||
indexes.push(i);
|
||||
i = 0;
|
||||
parent = node;
|
||||
node = node.children[0];
|
||||
|
||||
} else if (parent) { // go right
|
||||
i++;
|
||||
node = parent.children[i];
|
||||
goingUp = false;
|
||||
|
||||
} else node = null; // nothing found
|
||||
}
|
||||
|
||||
return this;
|
||||
}
|
||||
|
||||
toBBox(item) { return item; }
|
||||
|
||||
compareMinX(a, b) { return a.minX - b.minX; }
|
||||
compareMinY(a, b) { return a.minY - b.minY; }
|
||||
|
||||
toJSON() { return this.data; }
|
||||
|
||||
fromJSON(data) {
|
||||
this.data = data;
|
||||
return this;
|
||||
}
|
||||
|
||||
_all(node, result) {
|
||||
const nodesToSearch = [];
|
||||
while (node) {
|
||||
if (node.leaf) result.push(...node.children);
|
||||
else nodesToSearch.push(...node.children);
|
||||
|
||||
node = nodesToSearch.pop();
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
_build(items, left, right, height) {
|
||||
|
||||
const N = right - left + 1;
|
||||
let M = this._maxEntries;
|
||||
let node;
|
||||
|
||||
if (N <= M) {
|
||||
// reached leaf level; return leaf
|
||||
node = createNode(items.slice(left, right + 1));
|
||||
calcBBox(node, this.toBBox);
|
||||
return node;
|
||||
}
|
||||
|
||||
if (!height) {
|
||||
// target height of the bulk-loaded tree
|
||||
height = Math.ceil(Math.log(N) / Math.log(M));
|
||||
|
||||
// target number of root entries to maximize storage utilization
|
||||
M = Math.ceil(N / Math.pow(M, height - 1));
|
||||
}
|
||||
|
||||
node = createNode([]);
|
||||
node.leaf = false;
|
||||
node.height = height;
|
||||
|
||||
// split the items into M mostly square tiles
|
||||
|
||||
const N2 = Math.ceil(N / M);
|
||||
const N1 = N2 * Math.ceil(Math.sqrt(M));
|
||||
|
||||
multiSelect(items, left, right, N1, this.compareMinX);
|
||||
|
||||
for (let i = left; i <= right; i += N1) {
|
||||
|
||||
const right2 = Math.min(i + N1 - 1, right);
|
||||
|
||||
multiSelect(items, i, right2, N2, this.compareMinY);
|
||||
|
||||
for (let j = i; j <= right2; j += N2) {
|
||||
|
||||
const right3 = Math.min(j + N2 - 1, right2);
|
||||
|
||||
// pack each entry recursively
|
||||
node.children.push(this._build(items, j, right3, height - 1));
|
||||
}
|
||||
}
|
||||
|
||||
calcBBox(node, this.toBBox);
|
||||
|
||||
return node;
|
||||
}
|
||||
|
||||
_chooseSubtree(bbox, node, level, path) {
|
||||
while (true) {
|
||||
path.push(node);
|
||||
|
||||
if (node.leaf || path.length - 1 === level) break;
|
||||
|
||||
let minArea = Infinity;
|
||||
let minEnlargement = Infinity;
|
||||
let targetNode;
|
||||
|
||||
for (let i = 0; i < node.children.length; i++) {
|
||||
const child = node.children[i];
|
||||
const area = bboxArea(child);
|
||||
const enlargement = enlargedArea(bbox, child) - area;
|
||||
|
||||
// choose entry with the least area enlargement
|
||||
if (enlargement < minEnlargement) {
|
||||
minEnlargement = enlargement;
|
||||
minArea = area < minArea ? area : minArea;
|
||||
targetNode = child;
|
||||
|
||||
} else if (enlargement === minEnlargement) {
|
||||
// otherwise choose one with the smallest area
|
||||
if (area < minArea) {
|
||||
minArea = area;
|
||||
targetNode = child;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
node = targetNode || node.children[0];
|
||||
}
|
||||
|
||||
return node;
|
||||
}
|
||||
|
||||
_insert(item, level, isNode) {
|
||||
const bbox = isNode ? item : this.toBBox(item);
|
||||
const insertPath = [];
|
||||
|
||||
// find the best node for accommodating the item, saving all nodes along the path too
|
||||
const node = this._chooseSubtree(bbox, this.data, level, insertPath);
|
||||
|
||||
// put the item into the node
|
||||
node.children.push(item);
|
||||
extend(node, bbox);
|
||||
|
||||
// split on node overflow; propagate upwards if necessary
|
||||
while (level >= 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(insertPath, level) {
|
||||
const node = insertPath[level];
|
||||
const M = node.children.length;
|
||||
const m = this._minEntries;
|
||||
|
||||
this._chooseSplitAxis(node, m, M);
|
||||
|
||||
const splitIndex = this._chooseSplitIndex(node, m, M);
|
||||
|
||||
const 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(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(node, m, M) {
|
||||
let index;
|
||||
let minOverlap = Infinity;
|
||||
let minArea = Infinity;
|
||||
|
||||
for (let i = m; i <= M - m; i++) {
|
||||
const bbox1 = distBBox(node, 0, i, this.toBBox);
|
||||
const bbox2 = distBBox(node, i, M, this.toBBox);
|
||||
|
||||
const overlap = intersectionArea(bbox1, bbox2);
|
||||
const 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 || M - m;
|
||||
}
|
||||
|
||||
// sorts node children by the best axis for split
|
||||
_chooseSplitAxis(node, m, M) {
|
||||
const compareMinX = node.leaf ? this.compareMinX : compareNodeMinX;
|
||||
const compareMinY = node.leaf ? this.compareMinY : compareNodeMinY;
|
||||
const xMargin = this._allDistMargin(node, m, M, compareMinX);
|
||||
const 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(node, m, M, compare) {
|
||||
node.children.sort(compare);
|
||||
|
||||
const toBBox = this.toBBox;
|
||||
const leftBBox = distBBox(node, 0, m, toBBox);
|
||||
const rightBBox = distBBox(node, M - m, M, toBBox);
|
||||
let margin = bboxMargin(leftBBox) + bboxMargin(rightBBox);
|
||||
|
||||
for (let i = m; i < M - m; i++) {
|
||||
const child = node.children[i];
|
||||
extend(leftBBox, node.leaf ? toBBox(child) : child);
|
||||
margin += bboxMargin(leftBBox);
|
||||
}
|
||||
|
||||
for (let i = M - m - 1; i >= m; i--) {
|
||||
const child = node.children[i];
|
||||
extend(rightBBox, node.leaf ? toBBox(child) : child);
|
||||
margin += bboxMargin(rightBBox);
|
||||
}
|
||||
|
||||
return margin;
|
||||
}
|
||||
|
||||
_adjustParentBBoxes(bbox, path, level) {
|
||||
// adjust bboxes along the given tree path
|
||||
for (let i = level; i >= 0; i--) {
|
||||
extend(path[i], bbox);
|
||||
}
|
||||
}
|
||||
|
||||
_condense(path) {
|
||||
// go through the path, removing empty nodes and updating bboxes
|
||||
for (let 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);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
function findItem(item, items, equalsFn) {
|
||||
if (!equalsFn) return items.indexOf(item);
|
||||
|
||||
for (let 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 (let i = k; i < p; i++) {
|
||||
const 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) {
|
||||
const minX = Math.max(a.minX, b.minX);
|
||||
const minY = Math.max(a.minY, b.minY);
|
||||
const maxX = Math.min(a.maxX, b.maxX);
|
||||
const 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,
|
||||
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) {
|
||||
const stack = [left, right];
|
||||
|
||||
while (stack.length) {
|
||||
right = stack.pop();
|
||||
left = stack.pop();
|
||||
|
||||
if (right - left <= n) continue;
|
||||
|
||||
const mid = left + Math.ceil((right - left) / n / 2) * n;
|
||||
quickselect(arr, mid, left, right, compare);
|
||||
|
||||
stack.push(left, mid, mid, right);
|
||||
}
|
||||
}
|
||||
56
node_modules/rbush/package.json
generated
vendored
Normal file
56
node_modules/rbush/package.json
generated
vendored
Normal file
@@ -0,0 +1,56 @@
|
||||
{
|
||||
"name": "rbush",
|
||||
"version": "3.0.1",
|
||||
"description": "High-performance 2D spatial index for rectangles (based on R*-tree with bulk loading and bulk insertion algorithms)",
|
||||
"homepage": "https://github.com/mourner/rbush",
|
||||
"repository": {
|
||||
"type": "git",
|
||||
"url": "git://github.com/mourner/rbush.git"
|
||||
},
|
||||
"keywords": [
|
||||
"spatial",
|
||||
"tree",
|
||||
"search",
|
||||
"rectangle",
|
||||
"index",
|
||||
"math"
|
||||
],
|
||||
"author": "Vladimir Agafonkin",
|
||||
"license": "MIT",
|
||||
"main": "rbush.js",
|
||||
"module": "index.js",
|
||||
"browser": "rbush.min.js",
|
||||
"jsdelivr": "rbush.min.js",
|
||||
"unpkg": "rbush.min.js",
|
||||
"devDependencies": {
|
||||
"benchmark": "^2.1.4",
|
||||
"c8": "^5.0.1",
|
||||
"eslint": "^6.1.0",
|
||||
"eslint-config-mourner": "^3.0.0",
|
||||
"esm": "^3.2.25",
|
||||
"rollup": "^1.17.0",
|
||||
"rollup-plugin-buble": "^0.19.8",
|
||||
"rollup-plugin-node-resolve": "^5.2.0",
|
||||
"rollup-plugin-terser": "^5.1.1",
|
||||
"tape": "^4.11.0"
|
||||
},
|
||||
"scripts": {
|
||||
"pretest": "eslint index.js test/test.js bench/*.js",
|
||||
"test": "tape -r esm test/test.js",
|
||||
"perf": "node -r esm ./bench/perf.js",
|
||||
"cov": "c8 npm run test",
|
||||
"build": "rollup -c",
|
||||
"prepublishOnly": "npm run build"
|
||||
},
|
||||
"files": [
|
||||
"index.js",
|
||||
"rbush.js",
|
||||
"rbush.min.js"
|
||||
],
|
||||
"eslintConfig": {
|
||||
"extends": "mourner"
|
||||
},
|
||||
"dependencies": {
|
||||
"quickselect": "^2.0.0"
|
||||
}
|
||||
}
|
||||
574
node_modules/rbush/rbush.js
generated
vendored
Normal file
574
node_modules/rbush/rbush.js
generated
vendored
Normal file
@@ -0,0 +1,574 @@
|
||||
(function (global, factory) {
|
||||
typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
|
||||
typeof define === 'function' && define.amd ? define(factory) :
|
||||
(global = global || self, global.RBush = factory());
|
||||
}(this, function () { 'use strict';
|
||||
|
||||
function quickselect(arr, k, left, right, compare) {
|
||||
quickselectStep(arr, k, left || 0, right || (arr.length - 1), compare || defaultCompare);
|
||||
}
|
||||
|
||||
function quickselectStep(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));
|
||||
quickselectStep(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;
|
||||
}
|
||||
|
||||
var RBush = function RBush(maxEntries) {
|
||||
if ( maxEntries === void 0 ) maxEntries = 9;
|
||||
|
||||
// max entries in a node is 9 by default; min node fill is 40% for best performance
|
||||
this._maxEntries = Math.max(4, maxEntries);
|
||||
this._minEntries = Math.max(2, Math.ceil(this._maxEntries * 0.4));
|
||||
this.clear();
|
||||
};
|
||||
|
||||
RBush.prototype.all = function all () {
|
||||
return this._all(this.data, []);
|
||||
};
|
||||
|
||||
RBush.prototype.search = function search (bbox) {
|
||||
var node = this.data;
|
||||
var result = [];
|
||||
|
||||
if (!intersects(bbox, node)) { return result; }
|
||||
|
||||
var toBBox = this.toBBox;
|
||||
var nodesToSearch = [];
|
||||
|
||||
while (node) {
|
||||
for (var i = 0; i < node.children.length; i++) {
|
||||
var child = node.children[i];
|
||||
var childBBox = node.leaf ? toBBox(child) : child;
|
||||
|
||||
if (intersects(bbox, childBBox)) {
|
||||
if (node.leaf) { result.push(child); }
|
||||
else if (contains(bbox, childBBox)) { this._all(child, result); }
|
||||
else { nodesToSearch.push(child); }
|
||||
}
|
||||
}
|
||||
node = nodesToSearch.pop();
|
||||
}
|
||||
|
||||
return result;
|
||||
};
|
||||
|
||||
RBush.prototype.collides = function collides (bbox) {
|
||||
var node = this.data;
|
||||
|
||||
if (!intersects(bbox, node)) { return false; }
|
||||
|
||||
var nodesToSearch = [];
|
||||
while (node) {
|
||||
for (var i = 0; i < node.children.length; i++) {
|
||||
var child = node.children[i];
|
||||
var childBBox = node.leaf ? this.toBBox(child) : child;
|
||||
|
||||
if (intersects(bbox, childBBox)) {
|
||||
if (node.leaf || contains(bbox, childBBox)) { return true; }
|
||||
nodesToSearch.push(child);
|
||||
}
|
||||
}
|
||||
node = nodesToSearch.pop();
|
||||
}
|
||||
|
||||
return false;
|
||||
};
|
||||
|
||||
RBush.prototype.load = function load (data) {
|
||||
if (!(data && data.length)) { return this; }
|
||||
|
||||
if (data.length < this._minEntries) {
|
||||
for (var i = 0; i < data.length; i++) {
|
||||
this.insert(data[i]);
|
||||
}
|
||||
return this;
|
||||
}
|
||||
|
||||
// recursively build the tree with the given data from scratch using OMT algorithm
|
||||
var node = this._build(data.slice(), 0, data.length - 1, 0);
|
||||
|
||||
if (!this.data.children.length) {
|
||||
// save as is if tree is empty
|
||||
this.data = node;
|
||||
|
||||
} else if (this.data.height === node.height) {
|
||||
// split root if trees have the same height
|
||||
this._splitRoot(this.data, node);
|
||||
|
||||
} else {
|
||||
if (this.data.height < node.height) {
|
||||
// swap trees if inserted one is bigger
|
||||
var tmpNode = this.data;
|
||||
this.data = node;
|
||||
node = tmpNode;
|
||||
}
|
||||
|
||||
// insert the small tree into the large tree at appropriate level
|
||||
this._insert(node, this.data.height - node.height - 1, true);
|
||||
}
|
||||
|
||||
return this;
|
||||
};
|
||||
|
||||
RBush.prototype.insert = function insert (item) {
|
||||
if (item) { this._insert(item, this.data.height - 1); }
|
||||
return this;
|
||||
};
|
||||
|
||||
RBush.prototype.clear = function clear () {
|
||||
this.data = createNode([]);
|
||||
return this;
|
||||
};
|
||||
|
||||
RBush.prototype.remove = function remove (item, equalsFn) {
|
||||
if (!item) { return this; }
|
||||
|
||||
var node = this.data;
|
||||
var bbox = this.toBBox(item);
|
||||
var path = [];
|
||||
var indexes = [];
|
||||
var i, parent, goingUp;
|
||||
|
||||
// depth-first iterative tree traversal
|
||||
while (node || path.length) {
|
||||
|
||||
if (!node) { // go up
|
||||
node = path.pop();
|
||||
parent = path[path.length - 1];
|
||||
i = indexes.pop();
|
||||
goingUp = true;
|
||||
}
|
||||
|
||||
if (node.leaf) { // check current node
|
||||
var index = findItem(item, node.children, equalsFn);
|
||||
|
||||
if (index !== -1) {
|
||||
// item found, remove the item and condense tree upwards
|
||||
node.children.splice(index, 1);
|
||||
path.push(node);
|
||||
this._condense(path);
|
||||
return this;
|
||||
}
|
||||
}
|
||||
|
||||
if (!goingUp && !node.leaf && contains(node, bbox)) { // go down
|
||||
path.push(node);
|
||||
indexes.push(i);
|
||||
i = 0;
|
||||
parent = node;
|
||||
node = node.children[0];
|
||||
|
||||
} else if (parent) { // go right
|
||||
i++;
|
||||
node = parent.children[i];
|
||||
goingUp = false;
|
||||
|
||||
} else { node = null; } // nothing found
|
||||
}
|
||||
|
||||
return this;
|
||||
};
|
||||
|
||||
RBush.prototype.toBBox = function toBBox (item) { return item; };
|
||||
|
||||
RBush.prototype.compareMinX = function compareMinX (a, b) { return a.minX - b.minX; };
|
||||
RBush.prototype.compareMinY = function compareMinY (a, b) { return a.minY - b.minY; };
|
||||
|
||||
RBush.prototype.toJSON = function toJSON () { return this.data; };
|
||||
|
||||
RBush.prototype.fromJSON = function fromJSON (data) {
|
||||
this.data = data;
|
||||
return this;
|
||||
};
|
||||
|
||||
RBush.prototype._all = function _all (node, result) {
|
||||
var nodesToSearch = [];
|
||||
while (node) {
|
||||
if (node.leaf) { result.push.apply(result, node.children); }
|
||||
else { nodesToSearch.push.apply(nodesToSearch, node.children); }
|
||||
|
||||
node = nodesToSearch.pop();
|
||||
}
|
||||
return result;
|
||||
};
|
||||
|
||||
RBush.prototype._build = function _build (items, left, right, height) {
|
||||
|
||||
var N = right - left + 1;
|
||||
var M = this._maxEntries;
|
||||
var node;
|
||||
|
||||
if (N <= M) {
|
||||
// reached leaf level; return leaf
|
||||
node = createNode(items.slice(left, right + 1));
|
||||
calcBBox(node, this.toBBox);
|
||||
return node;
|
||||
}
|
||||
|
||||
if (!height) {
|
||||
// target height of the bulk-loaded tree
|
||||
height = Math.ceil(Math.log(N) / Math.log(M));
|
||||
|
||||
// target number of root entries to maximize storage utilization
|
||||
M = Math.ceil(N / Math.pow(M, height - 1));
|
||||
}
|
||||
|
||||
node = createNode([]);
|
||||
node.leaf = false;
|
||||
node.height = height;
|
||||
|
||||
// split the items into M mostly square tiles
|
||||
|
||||
var N2 = Math.ceil(N / M);
|
||||
var N1 = N2 * Math.ceil(Math.sqrt(M));
|
||||
|
||||
multiSelect(items, left, right, N1, this.compareMinX);
|
||||
|
||||
for (var i = left; i <= right; i += N1) {
|
||||
|
||||
var right2 = Math.min(i + N1 - 1, right);
|
||||
|
||||
multiSelect(items, i, right2, N2, this.compareMinY);
|
||||
|
||||
for (var j = i; j <= right2; j += N2) {
|
||||
|
||||
var right3 = Math.min(j + N2 - 1, right2);
|
||||
|
||||
// pack each entry recursively
|
||||
node.children.push(this._build(items, j, right3, height - 1));
|
||||
}
|
||||
}
|
||||
|
||||
calcBBox(node, this.toBBox);
|
||||
|
||||
return node;
|
||||
};
|
||||
|
||||
RBush.prototype._chooseSubtree = function _chooseSubtree (bbox, node, level, path) {
|
||||
while (true) {
|
||||
path.push(node);
|
||||
|
||||
if (node.leaf || path.length - 1 === level) { break; }
|
||||
|
||||
var minArea = Infinity;
|
||||
var minEnlargement = Infinity;
|
||||
var targetNode = (void 0);
|
||||
|
||||
for (var i = 0; i < node.children.length; i++) {
|
||||
var child = node.children[i];
|
||||
var area = bboxArea(child);
|
||||
var enlargement = enlargedArea(bbox, child) - area;
|
||||
|
||||
// choose entry with the least area enlargement
|
||||
if (enlargement < minEnlargement) {
|
||||
minEnlargement = enlargement;
|
||||
minArea = area < minArea ? area : minArea;
|
||||
targetNode = child;
|
||||
|
||||
} else if (enlargement === minEnlargement) {
|
||||
// otherwise choose one with the smallest area
|
||||
if (area < minArea) {
|
||||
minArea = area;
|
||||
targetNode = child;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
node = targetNode || node.children[0];
|
||||
}
|
||||
|
||||
return node;
|
||||
};
|
||||
|
||||
RBush.prototype._insert = function _insert (item, level, isNode) {
|
||||
var bbox = isNode ? item : this.toBBox(item);
|
||||
var insertPath = [];
|
||||
|
||||
// find the best node for accommodating the item, saving all nodes along the path too
|
||||
var node = this._chooseSubtree(bbox, this.data, level, insertPath);
|
||||
|
||||
// put the item into the node
|
||||
node.children.push(item);
|
||||
extend(node, bbox);
|
||||
|
||||
// split on node overflow; propagate upwards if necessary
|
||||
while (level >= 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
|
||||
RBush.prototype._split = function _split (insertPath, level) {
|
||||
var node = insertPath[level];
|
||||
var M = node.children.length;
|
||||
var 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); }
|
||||
};
|
||||
|
||||
RBush.prototype._splitRoot = function _splitRoot (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);
|
||||
};
|
||||
|
||||
RBush.prototype._chooseSplitIndex = function _chooseSplitIndex (node, m, M) {
|
||||
var index;
|
||||
var minOverlap = Infinity;
|
||||
var minArea = Infinity;
|
||||
|
||||
for (var i = m; i <= M - m; i++) {
|
||||
var bbox1 = distBBox(node, 0, i, this.toBBox);
|
||||
var bbox2 = distBBox(node, i, M, this.toBBox);
|
||||
|
||||
var overlap = intersectionArea(bbox1, bbox2);
|
||||
var 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 || M - m;
|
||||
};
|
||||
|
||||
// sorts node children by the best axis for split
|
||||
RBush.prototype._chooseSplitAxis = function _chooseSplitAxis (node, m, M) {
|
||||
var compareMinX = node.leaf ? this.compareMinX : compareNodeMinX;
|
||||
var compareMinY = node.leaf ? this.compareMinY : compareNodeMinY;
|
||||
var xMargin = this._allDistMargin(node, m, M, compareMinX);
|
||||
var 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
|
||||
RBush.prototype._allDistMargin = function _allDistMargin (node, m, M, compare) {
|
||||
node.children.sort(compare);
|
||||
|
||||
var toBBox = this.toBBox;
|
||||
var leftBBox = distBBox(node, 0, m, toBBox);
|
||||
var rightBBox = distBBox(node, M - m, M, toBBox);
|
||||
var margin = bboxMargin(leftBBox) + bboxMargin(rightBBox);
|
||||
|
||||
for (var i = m; i < M - m; i++) {
|
||||
var child = node.children[i];
|
||||
extend(leftBBox, node.leaf ? toBBox(child) : child);
|
||||
margin += bboxMargin(leftBBox);
|
||||
}
|
||||
|
||||
for (var i$1 = M - m - 1; i$1 >= m; i$1--) {
|
||||
var child$1 = node.children[i$1];
|
||||
extend(rightBBox, node.leaf ? toBBox(child$1) : child$1);
|
||||
margin += bboxMargin(rightBBox);
|
||||
}
|
||||
|
||||
return margin;
|
||||
};
|
||||
|
||||
RBush.prototype._adjustParentBBoxes = function _adjustParentBBoxes (bbox, path, level) {
|
||||
// adjust bboxes along the given tree path
|
||||
for (var i = level; i >= 0; i--) {
|
||||
extend(path[i], bbox);
|
||||
}
|
||||
};
|
||||
|
||||
RBush.prototype._condense = function _condense (path) {
|
||||
// go through the path, removing empty nodes and updating bboxes
|
||||
for (var i = path.length - 1, siblings = (void 0); 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); }
|
||||
}
|
||||
};
|
||||
|
||||
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; i < p; i++) {
|
||||
var 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);
|
||||
var minY = Math.max(a.minY, b.minY);
|
||||
var maxX = Math.min(a.maxX, b.maxX);
|
||||
var 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];
|
||||
|
||||
while (stack.length) {
|
||||
right = stack.pop();
|
||||
left = stack.pop();
|
||||
|
||||
if (right - left <= n) { continue; }
|
||||
|
||||
var mid = left + Math.ceil((right - left) / n / 2) * n;
|
||||
quickselect(arr, mid, left, right, compare);
|
||||
|
||||
stack.push(left, mid, mid, right);
|
||||
}
|
||||
}
|
||||
|
||||
return RBush;
|
||||
|
||||
}));
|
||||
1
node_modules/rbush/rbush.min.js
generated
vendored
Normal file
1
node_modules/rbush/rbush.min.js
generated
vendored
Normal file
File diff suppressed because one or more lines are too long
Reference in New Issue
Block a user