Add existing to tracked
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ISC License
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Copyright (c) 2026, Vladimir Agafonkin
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Permission to use, copy, modify, and/or distribute this software for any purpose
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with or without fee is hereby granted, provided that the above copyright notice
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and this permission notice appear in all copies.
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THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH
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REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
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FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT,
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INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS
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OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
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TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
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THIS SOFTWARE.
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## KDBush
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A very fast static spatial index for 2D points based on a flat KD-tree.
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Compared to [RBush](https://github.com/mourner/rbush):
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- **Points only** — no rectangles.
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- **Static** — you can't add/remove items after initial indexing.
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- **Faster** indexing and search, with lower **memory** footprint.
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- Index is stored as a single **array buffer** (so you can [transfer](https://developer.mozilla.org/en-US/docs/Glossary/Transferable_objects) it between threads or store it as a compact file).
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If you need a static index for rectangles, not only points, see [Flatbush](https://github.com/mourner/flatbush). When indexing points, KDBush has the advantage of taking ~2x less memory than Flatbush.
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[](https://github.com/mourner/kdbush/actions)
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[](https://github.com/mourner/projects)
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## Usage
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```js
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// initialize KDBush for 1000 items
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const index = new KDBush(1000);
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// fill it with 1000 points
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for (const {x, y} of items) {
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index.add(x, y);
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}
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// perform the indexing
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index.finish();
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// make a bounding box query
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const foundIds = index.range(minX, minY, maxX, maxY);
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// map ids to original items
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const foundItems = foundIds.map(i => items[i]);
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// make a radius query
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const neighborIds = index.within(x, y, 5);
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// instantly transfer the index from a worker to the main thread
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postMessage(index.data, [index.data]);
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// reconstruct the index from a raw array buffer
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const index = KDBush.from(e.data);
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```
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## Install
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Install with NPM: `npm install kdbush`, then import as a module:
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```js
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import KDBush from 'kdbush';
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```
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Or use as a module directly in the browser with [jsDelivr](https://www.jsdelivr.com/esm):
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```html
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<script type="module">
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import KDBush from 'https://cdn.jsdelivr.net/npm/kdbush/+esm';
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</script>
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```
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Alternatively, there's a browser bundle with a `KDBush` global variable:
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```html
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<script src="https://cdn.jsdelivr.net/npm/kdbush"></script>
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```
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## API
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#### new KDBush(numItems[, nodeSize, ArrayType, ArrayBufferType])
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Creates an index that will hold a given number of points (`numItems`). Additionally accepts:
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- `nodeSize`: Size of the KD-tree node, `64` by default. Higher means faster indexing but slower search, and vise versa.
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- `ArrayType`: Array type to use for storing coordinate values. `Float64Array` by default, but if your coordinates are integer values, `Int32Array` makes the index faster and smaller.
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- `ArrayBufferType`: the array buffer type used to store data (`ArrayBuffer` by default);
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you may prefer `SharedArrayBuffer` if you want to share the index between threads (multiple `Worker`, `SharedWorker` or `ServiceWorker`).
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#### index.add(x, y)
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Adds a given point to the index. Returns a zero-based, incremental number that represents the newly added point.
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#### index.range(minX, minY, maxX, maxY)
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Finds all items within the given bounding box and returns an array of indices that refer to the order the items were added (the values returned by `index.add(x, y)`).
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#### index.within(x, y, radius)
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Finds all items within a given radius from the query point and returns an array of indices.
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#### `KDBush.from(data)`
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Recreates a KDBush index from raw `ArrayBuffer` or `SharedArrayBuffer` data
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(that's exposed as `index.data` on a previously indexed KDBush instance).
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Very useful for transferring or sharing indices between threads or storing them in a file.
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### Properties
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- `data`: array buffer that holds the index.
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- `numItems`: number of stored items.
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- `nodeSize`: number of items in a KD-tree node.
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- `ArrayType`: array type used for internal coordinates storage.
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- `IndexArrayType`: array type used for internal item indices storage.
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export default class KDBush {
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/**
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* Creates an index from raw `ArrayBuffer` data.
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* @param {ArrayBufferLike} data
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*/
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static from(data: ArrayBufferLike): KDBush;
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/**
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* Creates an index that will hold a given number of items.
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* @param {number} numItems
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* @param {number} [nodeSize=64] Size of the KD-tree node (64 by default).
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* @param {TypedArrayConstructor} [ArrayType=Float64Array] The array type used for coordinates storage (`Float64Array` by default).
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* @param {ArrayBufferConstructor | SharedArrayBufferConstructor} [ArrayBufferType=ArrayBuffer] The array buffer type used for storage (`ArrayBuffer` by default).
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* @param {ArrayBufferLike} [data] (For internal use only)
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*/
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constructor(numItems: number, nodeSize?: number, ArrayType?: TypedArrayConstructor, ArrayBufferType?: ArrayBufferConstructor | SharedArrayBufferConstructor, data?: ArrayBufferLike);
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numItems: number;
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nodeSize: number;
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ArrayType: TypedArrayConstructor;
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IndexArrayType: Uint16ArrayConstructor | Uint32ArrayConstructor;
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data: ArrayBufferLike;
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ids: Uint16Array<ArrayBuffer> | Uint32Array<ArrayBuffer>;
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coords: Int8Array<ArrayBuffer> | Uint8Array<ArrayBuffer> | Uint8ClampedArray<ArrayBuffer> | Int16Array<ArrayBuffer> | Uint16Array<ArrayBuffer> | Int32Array<ArrayBuffer> | Uint32Array<ArrayBuffer> | Float32Array<ArrayBuffer> | Float64Array<ArrayBuffer>;
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_pos: number;
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_finished: boolean;
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/**
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* Add a point to the index.
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* @param {number} x
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* @param {number} y
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* @returns {number} An incremental index associated with the added item (starting from `0`).
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*/
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add(x: number, y: number): number;
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/**
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* Perform indexing of the added points.
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*/
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finish(): this;
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/**
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* Search the index for items within a given bounding box.
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* @param {number} minX
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* @param {number} minY
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* @param {number} maxX
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* @param {number} maxY
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* @returns {number[]} An array of indices correponding to the found items.
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*/
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range(minX: number, minY: number, maxX: number, maxY: number): number[];
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/**
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* Search the index for items within a given radius.
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* @param {number} qx
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* @param {number} qy
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* @param {number} r Query radius.
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* @returns {number[]} An array of indices correponding to the found items.
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*/
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within(qx: number, qy: number, r: number): number[];
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/**
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* Search the index for items within a given radius, writing matching ids into `out`
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* via indexed assignment (`out[i] = id`). Accepts any indexed-writable container —
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* a typed array sized to the expected upper bound (allocation-free, fast) or a plain
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* `Array` (which will grow as needed). Returns the number of matches written.
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* @param {number} qx
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* @param {number} qy
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* @param {number} r Query radius.
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* @param {number[] | TypedArray} out Container to write matching ids into.
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* @returns {number} The number of matches written to `out`.
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*/
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withinInto(qx: number, qy: number, r: number, out: number[] | TypedArray): number;
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}
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export type TypedArrayConstructor = Int8ArrayConstructor | Uint8ArrayConstructor | Uint8ClampedArrayConstructor | Int16ArrayConstructor | Uint16ArrayConstructor | Int32ArrayConstructor | Uint32ArrayConstructor | Float32ArrayConstructor | Float64ArrayConstructor;
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export type TypedArray = Int8Array | Uint8Array | Uint8ClampedArray | Int16Array | Uint16Array | Int32Array | Uint32Array | Float32Array | Float64Array;
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const ARRAY_TYPES = [
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Int8Array, Uint8Array, Uint8ClampedArray, Int16Array, Uint16Array,
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Int32Array, Uint32Array, Float32Array, Float64Array
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];
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/** @typedef {Int8ArrayConstructor | Uint8ArrayConstructor | Uint8ClampedArrayConstructor | Int16ArrayConstructor | Uint16ArrayConstructor | Int32ArrayConstructor | Uint32ArrayConstructor | Float32ArrayConstructor | Float64ArrayConstructor} TypedArrayConstructor */
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/** @typedef {Int8Array | Uint8Array | Uint8ClampedArray | Int16Array | Uint16Array | Int32Array | Uint32Array | Float32Array | Float64Array} TypedArray */
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const VERSION = 1; // serialized format version
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const HEADER_SIZE = 8;
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// Shared scratch stack for iterative DFS in range/within. Sized for the worst case:
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// 3 ints per frame * (treeHeight + 1), with treeHeight ≤ ceil(log2(2^32 / 3)) ≈ 31.
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const STACK = new Uint32Array(96);
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export default class KDBush {
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/**
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* Creates an index from raw `ArrayBuffer` data.
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* @param {ArrayBufferLike} data
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*/
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static from(data) {
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// @ts-expect-error duck typing array buffers
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if (!data || data.byteLength === undefined || data.buffer) {
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throw new Error('Data must be an instance of ArrayBuffer or SharedArrayBuffer.');
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}
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const [magic, versionAndType] = new Uint8Array(data, 0, 2);
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if (magic !== 0xdb) {
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throw new Error('Data does not appear to be in a KDBush format.');
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}
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const version = versionAndType >> 4;
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if (version !== VERSION) {
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throw new Error(`Got v${version} data when expected v${VERSION}.`);
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}
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const ArrayType = ARRAY_TYPES[versionAndType & 0x0f];
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if (!ArrayType) {
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throw new Error('Unrecognized array type.');
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}
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const [nodeSize] = new Uint16Array(data, 2, 1);
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const [numItems] = new Uint32Array(data, 4, 1);
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return new KDBush(numItems, nodeSize, ArrayType, undefined, data);
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}
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/**
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* Creates an index that will hold a given number of items.
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* @param {number} numItems
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* @param {number} [nodeSize=64] Size of the KD-tree node (64 by default).
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* @param {TypedArrayConstructor} [ArrayType=Float64Array] The array type used for coordinates storage (`Float64Array` by default).
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* @param {ArrayBufferConstructor | SharedArrayBufferConstructor} [ArrayBufferType=ArrayBuffer] The array buffer type used for storage (`ArrayBuffer` by default).
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* @param {ArrayBufferLike} [data] (For internal use only)
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*/
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constructor(numItems, nodeSize = 64, ArrayType = Float64Array, ArrayBufferType = ArrayBuffer, data) {
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if (isNaN(numItems) || numItems < 0) throw new Error(`Unexpected numItems value: ${numItems}.`);
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this.numItems = +numItems;
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this.nodeSize = Math.min(Math.max(+nodeSize, 2), 65535);
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this.ArrayType = ArrayType;
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this.IndexArrayType = numItems < 65536 ? Uint16Array : Uint32Array;
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const arrayTypeIndex = ARRAY_TYPES.indexOf(this.ArrayType);
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const coordsByteSize = numItems * 2 * this.ArrayType.BYTES_PER_ELEMENT;
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const idsByteSize = numItems * this.IndexArrayType.BYTES_PER_ELEMENT;
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const padCoords = (8 - idsByteSize % 8) % 8;
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if (arrayTypeIndex < 0) {
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throw new Error(`Unexpected typed array class: ${ArrayType}.`);
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}
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if (data) { // reconstruct an index from a buffer
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this.data = data;
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// @ts-expect-error TS can't handle SharedArrayBuffer overloads
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this.ids = new this.IndexArrayType(data, HEADER_SIZE, numItems);
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// @ts-expect-error TS can't handle SharedArrayBuffer overloads
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this.coords = new ArrayType(data, HEADER_SIZE + idsByteSize + padCoords, numItems * 2);
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this._pos = numItems * 2;
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this._finished = true;
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} else { // initialize a new index
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const data = this.data = new ArrayBufferType(HEADER_SIZE + coordsByteSize + idsByteSize + padCoords);
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// @ts-expect-error TS can't handle SharedArrayBuffer overloads
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this.ids = new this.IndexArrayType(data, HEADER_SIZE, numItems);
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// @ts-expect-error TS can't handle SharedArrayBuffer overloads
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this.coords = new ArrayType(data, HEADER_SIZE + idsByteSize + padCoords, numItems * 2);
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this._pos = 0;
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this._finished = false;
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// set header
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new Uint8Array(data, 0, 2).set([0xdb, (VERSION << 4) + arrayTypeIndex]);
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new Uint16Array(data, 2, 1)[0] = nodeSize;
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new Uint32Array(data, 4, 1)[0] = numItems;
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}
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}
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/**
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* Add a point to the index.
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* @param {number} x
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* @param {number} y
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* @returns {number} An incremental index associated with the added item (starting from `0`).
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*/
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add(x, y) {
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const index = this._pos >> 1;
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this.ids[index] = index;
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this.coords[this._pos++] = x;
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this.coords[this._pos++] = y;
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return index;
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}
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/**
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* Perform indexing of the added points.
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*/
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finish() {
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const numAdded = this._pos >> 1;
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if (numAdded !== this.numItems) {
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throw new Error(`Added ${numAdded} items when expected ${this.numItems}.`);
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}
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// kd-sort both arrays for efficient search
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sort(this.ids, this.coords, this.nodeSize, 0, this.numItems - 1, 0);
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this._finished = true;
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return this;
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}
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/**
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* Search the index for items within a given bounding box.
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* @param {number} minX
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* @param {number} minY
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* @param {number} maxX
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* @param {number} maxY
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* @returns {number[]} An array of indices correponding to the found items.
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*/
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range(minX, minY, maxX, maxY) {
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if (!this._finished) throw new Error('Data not yet indexed - call index.finish().');
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const {ids, coords, nodeSize} = this;
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STACK[0] = 0;
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STACK[1] = ids.length - 1;
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STACK[2] = 0;
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let sp = 3;
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const result = [];
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// recursively search for items in range in the kd-sorted arrays
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while (sp > 0) {
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const axis = STACK[--sp];
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const right = STACK[--sp];
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const left = STACK[--sp];
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// if we reached "tree node", search linearly
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if (right - left <= nodeSize) {
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for (let i = left; i <= right; i++) {
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const x = coords[2 * i];
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const y = coords[2 * i + 1];
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if (x >= minX && x <= maxX && y >= minY && y <= maxY) result.push(ids[i]);
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}
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continue;
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}
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// otherwise find the middle index
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const m = (left + right) >> 1;
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// include the middle item if it's in range
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const x = coords[2 * m];
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const y = coords[2 * m + 1];
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if (x >= minX && x <= maxX && y >= minY && y <= maxY) result.push(ids[m]);
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// queue search in halves that intersect the query
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if (axis === 0 ? minX <= x : minY <= y) {
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STACK[sp++] = left;
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STACK[sp++] = m - 1;
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STACK[sp++] = 1 - axis;
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}
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if (axis === 0 ? maxX >= x : maxY >= y) {
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STACK[sp++] = m + 1;
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STACK[sp++] = right;
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STACK[sp++] = 1 - axis;
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}
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}
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return result;
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}
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||||
/**
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* Search the index for items within a given radius.
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||||
* @param {number} qx
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||||
* @param {number} qy
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||||
* @param {number} r Query radius.
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* @returns {number[]} An array of indices correponding to the found items.
|
||||
*/
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||||
within(qx, qy, r) {
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const result = /** @type {number[]} */ ([]);
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this.withinInto(qx, qy, r, result);
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return result;
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||||
}
|
||||
|
||||
/**
|
||||
* Search the index for items within a given radius, writing matching ids into `out`
|
||||
* via indexed assignment (`out[i] = id`). Accepts any indexed-writable container —
|
||||
* a typed array sized to the expected upper bound (allocation-free, fast) or a plain
|
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* `Array` (which will grow as needed). Returns the number of matches written.
|
||||
* @param {number} qx
|
||||
* @param {number} qy
|
||||
* @param {number} r Query radius.
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||||
* @param {number[] | TypedArray} out Container to write matching ids into.
|
||||
* @returns {number} The number of matches written to `out`.
|
||||
*/
|
||||
withinInto(qx, qy, r, out) {
|
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if (!this._finished) throw new Error('Data not yet indexed - call index.finish().');
|
||||
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||||
const {ids, coords, nodeSize} = this;
|
||||
STACK[0] = 0;
|
||||
STACK[1] = ids.length - 1;
|
||||
STACK[2] = 0;
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||||
let sp = 3;
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let count = 0;
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const r2 = r * r;
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||||
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// recursively search for items within radius in the kd-sorted arrays
|
||||
while (sp > 0) {
|
||||
const axis = STACK[--sp];
|
||||
const right = STACK[--sp];
|
||||
const left = STACK[--sp];
|
||||
|
||||
// if we reached "tree node", search linearly
|
||||
if (right - left <= nodeSize) {
|
||||
for (let i = left; i <= right; i++) {
|
||||
if (sqDist(coords[2 * i], coords[2 * i + 1], qx, qy) <= r2) out[count++] = ids[i];
|
||||
}
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||||
continue;
|
||||
}
|
||||
|
||||
// otherwise find the middle index
|
||||
const m = (left + right) >> 1;
|
||||
|
||||
// include the middle item if it's in range
|
||||
const x = coords[2 * m];
|
||||
const y = coords[2 * m + 1];
|
||||
if (sqDist(x, y, qx, qy) <= r2) out[count++] = ids[m];
|
||||
|
||||
// queue search in halves that intersect the query
|
||||
if (axis === 0 ? qx - r <= x : qy - r <= y) {
|
||||
STACK[sp++] = left;
|
||||
STACK[sp++] = m - 1;
|
||||
STACK[sp++] = 1 - axis;
|
||||
}
|
||||
if (axis === 0 ? qx + r >= x : qy + r >= y) {
|
||||
STACK[sp++] = m + 1;
|
||||
STACK[sp++] = right;
|
||||
STACK[sp++] = 1 - axis;
|
||||
}
|
||||
}
|
||||
|
||||
return count;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {Uint16Array | Uint32Array} ids
|
||||
* @param {TypedArray} coords
|
||||
* @param {number} nodeSize
|
||||
* @param {number} left
|
||||
* @param {number} right
|
||||
* @param {number} axis
|
||||
*/
|
||||
function sort(ids, coords, nodeSize, left, right, axis) {
|
||||
if (right - left <= nodeSize) return;
|
||||
|
||||
const m = (left + right) >> 1; // middle index
|
||||
|
||||
// sort ids and coords around the middle index so that the halves lie
|
||||
// either left/right or top/bottom correspondingly (taking turns)
|
||||
select(ids, coords, m, left, right, axis);
|
||||
|
||||
// recursively kd-sort first half and second half on the opposite axis
|
||||
sort(ids, coords, nodeSize, left, m - 1, 1 - axis);
|
||||
sort(ids, coords, nodeSize, m + 1, right, 1 - axis);
|
||||
}
|
||||
|
||||
/**
|
||||
* Custom Floyd-Rivest selection algorithm: sort ids and coords so that
|
||||
* [left..k-1] items are smaller than k-th item (on either x or y axis)
|
||||
* @param {Uint16Array | Uint32Array} ids
|
||||
* @param {TypedArray} coords
|
||||
* @param {number} k
|
||||
* @param {number} left
|
||||
* @param {number} right
|
||||
* @param {number} axis
|
||||
*/
|
||||
function select(ids, coords, k, left, right, axis) {
|
||||
|
||||
while (right > left) {
|
||||
if (right - left > 600) {
|
||||
const n = right - left + 1;
|
||||
const m = k - left + 1;
|
||||
const z = Math.log(n);
|
||||
const s = 0.5 * Math.exp(2 * z / 3);
|
||||
const sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * (m - n / 2 < 0 ? -1 : 1);
|
||||
const newLeft = Math.max(left, Math.floor(k - m * s / n + sd));
|
||||
const newRight = Math.min(right, Math.floor(k + (n - m) * s / n + sd));
|
||||
select(ids, coords, k, newLeft, newRight, axis);
|
||||
}
|
||||
|
||||
const t = coords[2 * k + axis];
|
||||
let i = left;
|
||||
let j = right;
|
||||
|
||||
swapItem(ids, coords, left, k);
|
||||
if (coords[2 * right + axis] > t) swapItem(ids, coords, left, right);
|
||||
|
||||
while (i < j) {
|
||||
swapItem(ids, coords, i, j);
|
||||
i++;
|
||||
j--;
|
||||
while (coords[2 * i + axis] < t) i++;
|
||||
while (coords[2 * j + axis] > t) j--;
|
||||
}
|
||||
|
||||
if (coords[2 * left + axis] === t) swapItem(ids, coords, left, j);
|
||||
else {
|
||||
j++;
|
||||
swapItem(ids, coords, j, right);
|
||||
}
|
||||
|
||||
if (j <= k) left = j + 1;
|
||||
if (k <= j) right = j - 1;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {Uint16Array | Uint32Array} ids
|
||||
* @param {TypedArray} coords
|
||||
* @param {number} i
|
||||
* @param {number} j
|
||||
*/
|
||||
function swapItem(ids, coords, i, j) {
|
||||
swap(ids, i, j);
|
||||
swap(coords, 2 * i, 2 * j);
|
||||
swap(coords, 2 * i + 1, 2 * j + 1);
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {TypedArray} arr
|
||||
* @param {number} i
|
||||
* @param {number} j
|
||||
*/
|
||||
function swap(arr, i, j) {
|
||||
const tmp = arr[i];
|
||||
arr[i] = arr[j];
|
||||
arr[j] = tmp;
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {number} ax
|
||||
* @param {number} ay
|
||||
* @param {number} bx
|
||||
* @param {number} by
|
||||
*/
|
||||
function sqDist(ax, ay, bx, by) {
|
||||
const dx = ax - bx;
|
||||
const dy = ay - by;
|
||||
return dx * dx + dy * dy;
|
||||
}
|
||||
+371
@@ -0,0 +1,371 @@
|
||||
(function (global, factory) {
|
||||
typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
|
||||
typeof define === 'function' && define.amd ? define(factory) :
|
||||
(global = typeof globalThis !== 'undefined' ? globalThis : global || self, global.KDBush = factory());
|
||||
})(this, (function () { 'use strict';
|
||||
|
||||
const ARRAY_TYPES = [
|
||||
Int8Array, Uint8Array, Uint8ClampedArray, Int16Array, Uint16Array,
|
||||
Int32Array, Uint32Array, Float32Array, Float64Array
|
||||
];
|
||||
|
||||
/** @typedef {Int8ArrayConstructor | Uint8ArrayConstructor | Uint8ClampedArrayConstructor | Int16ArrayConstructor | Uint16ArrayConstructor | Int32ArrayConstructor | Uint32ArrayConstructor | Float32ArrayConstructor | Float64ArrayConstructor} TypedArrayConstructor */
|
||||
/** @typedef {Int8Array | Uint8Array | Uint8ClampedArray | Int16Array | Uint16Array | Int32Array | Uint32Array | Float32Array | Float64Array} TypedArray */
|
||||
|
||||
const VERSION = 1; // serialized format version
|
||||
const HEADER_SIZE = 8;
|
||||
|
||||
// Shared scratch stack for iterative DFS in range/within. Sized for the worst case:
|
||||
// 3 ints per frame * (treeHeight + 1), with treeHeight ≤ ceil(log2(2^32 / 3)) ≈ 31.
|
||||
const STACK = new Uint32Array(96);
|
||||
|
||||
class KDBush {
|
||||
|
||||
/**
|
||||
* Creates an index from raw `ArrayBuffer` data.
|
||||
* @param {ArrayBufferLike} data
|
||||
*/
|
||||
static from(data) {
|
||||
// @ts-expect-error duck typing array buffers
|
||||
if (!data || data.byteLength === undefined || data.buffer) {
|
||||
throw new Error('Data must be an instance of ArrayBuffer or SharedArrayBuffer.');
|
||||
}
|
||||
const [magic, versionAndType] = new Uint8Array(data, 0, 2);
|
||||
if (magic !== 0xdb) {
|
||||
throw new Error('Data does not appear to be in a KDBush format.');
|
||||
}
|
||||
const version = versionAndType >> 4;
|
||||
if (version !== VERSION) {
|
||||
throw new Error(`Got v${version} data when expected v${VERSION}.`);
|
||||
}
|
||||
const ArrayType = ARRAY_TYPES[versionAndType & 0x0f];
|
||||
if (!ArrayType) {
|
||||
throw new Error('Unrecognized array type.');
|
||||
}
|
||||
const [nodeSize] = new Uint16Array(data, 2, 1);
|
||||
const [numItems] = new Uint32Array(data, 4, 1);
|
||||
|
||||
return new KDBush(numItems, nodeSize, ArrayType, undefined, data);
|
||||
}
|
||||
|
||||
/**
|
||||
* Creates an index that will hold a given number of items.
|
||||
* @param {number} numItems
|
||||
* @param {number} [nodeSize=64] Size of the KD-tree node (64 by default).
|
||||
* @param {TypedArrayConstructor} [ArrayType=Float64Array] The array type used for coordinates storage (`Float64Array` by default).
|
||||
* @param {ArrayBufferConstructor | SharedArrayBufferConstructor} [ArrayBufferType=ArrayBuffer] The array buffer type used for storage (`ArrayBuffer` by default).
|
||||
* @param {ArrayBufferLike} [data] (For internal use only)
|
||||
*/
|
||||
constructor(numItems, nodeSize = 64, ArrayType = Float64Array, ArrayBufferType = ArrayBuffer, data) {
|
||||
if (isNaN(numItems) || numItems < 0) throw new Error(`Unexpected numItems value: ${numItems}.`);
|
||||
|
||||
this.numItems = +numItems;
|
||||
this.nodeSize = Math.min(Math.max(+nodeSize, 2), 65535);
|
||||
this.ArrayType = ArrayType;
|
||||
this.IndexArrayType = numItems < 65536 ? Uint16Array : Uint32Array;
|
||||
|
||||
const arrayTypeIndex = ARRAY_TYPES.indexOf(this.ArrayType);
|
||||
const coordsByteSize = numItems * 2 * this.ArrayType.BYTES_PER_ELEMENT;
|
||||
const idsByteSize = numItems * this.IndexArrayType.BYTES_PER_ELEMENT;
|
||||
const padCoords = (8 - idsByteSize % 8) % 8;
|
||||
|
||||
if (arrayTypeIndex < 0) {
|
||||
throw new Error(`Unexpected typed array class: ${ArrayType}.`);
|
||||
}
|
||||
|
||||
if (data) { // reconstruct an index from a buffer
|
||||
this.data = data;
|
||||
// @ts-expect-error TS can't handle SharedArrayBuffer overloads
|
||||
this.ids = new this.IndexArrayType(data, HEADER_SIZE, numItems);
|
||||
// @ts-expect-error TS can't handle SharedArrayBuffer overloads
|
||||
this.coords = new ArrayType(data, HEADER_SIZE + idsByteSize + padCoords, numItems * 2);
|
||||
this._pos = numItems * 2;
|
||||
this._finished = true;
|
||||
|
||||
} else { // initialize a new index
|
||||
const data = this.data = new ArrayBufferType(HEADER_SIZE + coordsByteSize + idsByteSize + padCoords);
|
||||
// @ts-expect-error TS can't handle SharedArrayBuffer overloads
|
||||
this.ids = new this.IndexArrayType(data, HEADER_SIZE, numItems);
|
||||
// @ts-expect-error TS can't handle SharedArrayBuffer overloads
|
||||
this.coords = new ArrayType(data, HEADER_SIZE + idsByteSize + padCoords, numItems * 2);
|
||||
this._pos = 0;
|
||||
this._finished = false;
|
||||
|
||||
// set header
|
||||
new Uint8Array(data, 0, 2).set([0xdb, (VERSION << 4) + arrayTypeIndex]);
|
||||
new Uint16Array(data, 2, 1)[0] = nodeSize;
|
||||
new Uint32Array(data, 4, 1)[0] = numItems;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Add a point to the index.
|
||||
* @param {number} x
|
||||
* @param {number} y
|
||||
* @returns {number} An incremental index associated with the added item (starting from `0`).
|
||||
*/
|
||||
add(x, y) {
|
||||
const index = this._pos >> 1;
|
||||
this.ids[index] = index;
|
||||
this.coords[this._pos++] = x;
|
||||
this.coords[this._pos++] = y;
|
||||
return index;
|
||||
}
|
||||
|
||||
/**
|
||||
* Perform indexing of the added points.
|
||||
*/
|
||||
finish() {
|
||||
const numAdded = this._pos >> 1;
|
||||
if (numAdded !== this.numItems) {
|
||||
throw new Error(`Added ${numAdded} items when expected ${this.numItems}.`);
|
||||
}
|
||||
// kd-sort both arrays for efficient search
|
||||
sort(this.ids, this.coords, this.nodeSize, 0, this.numItems - 1, 0);
|
||||
|
||||
this._finished = true;
|
||||
return this;
|
||||
}
|
||||
|
||||
/**
|
||||
* Search the index for items within a given bounding box.
|
||||
* @param {number} minX
|
||||
* @param {number} minY
|
||||
* @param {number} maxX
|
||||
* @param {number} maxY
|
||||
* @returns {number[]} An array of indices correponding to the found items.
|
||||
*/
|
||||
range(minX, minY, maxX, maxY) {
|
||||
if (!this._finished) throw new Error('Data not yet indexed - call index.finish().');
|
||||
|
||||
const {ids, coords, nodeSize} = this;
|
||||
STACK[0] = 0;
|
||||
STACK[1] = ids.length - 1;
|
||||
STACK[2] = 0;
|
||||
let sp = 3;
|
||||
const result = [];
|
||||
|
||||
// recursively search for items in range in the kd-sorted arrays
|
||||
while (sp > 0) {
|
||||
const axis = STACK[--sp];
|
||||
const right = STACK[--sp];
|
||||
const left = STACK[--sp];
|
||||
|
||||
// if we reached "tree node", search linearly
|
||||
if (right - left <= nodeSize) {
|
||||
for (let i = left; i <= right; i++) {
|
||||
const x = coords[2 * i];
|
||||
const y = coords[2 * i + 1];
|
||||
if (x >= minX && x <= maxX && y >= minY && y <= maxY) result.push(ids[i]);
|
||||
}
|
||||
continue;
|
||||
}
|
||||
|
||||
// otherwise find the middle index
|
||||
const m = (left + right) >> 1;
|
||||
|
||||
// include the middle item if it's in range
|
||||
const x = coords[2 * m];
|
||||
const y = coords[2 * m + 1];
|
||||
if (x >= minX && x <= maxX && y >= minY && y <= maxY) result.push(ids[m]);
|
||||
|
||||
// queue search in halves that intersect the query
|
||||
if (axis === 0 ? minX <= x : minY <= y) {
|
||||
STACK[sp++] = left;
|
||||
STACK[sp++] = m - 1;
|
||||
STACK[sp++] = 1 - axis;
|
||||
}
|
||||
if (axis === 0 ? maxX >= x : maxY >= y) {
|
||||
STACK[sp++] = m + 1;
|
||||
STACK[sp++] = right;
|
||||
STACK[sp++] = 1 - axis;
|
||||
}
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
/**
|
||||
* Search the index for items within a given radius.
|
||||
* @param {number} qx
|
||||
* @param {number} qy
|
||||
* @param {number} r Query radius.
|
||||
* @returns {number[]} An array of indices correponding to the found items.
|
||||
*/
|
||||
within(qx, qy, r) {
|
||||
const result = /** @type {number[]} */ ([]);
|
||||
this.withinInto(qx, qy, r, result);
|
||||
return result;
|
||||
}
|
||||
|
||||
/**
|
||||
* Search the index for items within a given radius, writing matching ids into `out`
|
||||
* via indexed assignment (`out[i] = id`). Accepts any indexed-writable container —
|
||||
* a typed array sized to the expected upper bound (allocation-free, fast) or a plain
|
||||
* `Array` (which will grow as needed). Returns the number of matches written.
|
||||
* @param {number} qx
|
||||
* @param {number} qy
|
||||
* @param {number} r Query radius.
|
||||
* @param {number[] | TypedArray} out Container to write matching ids into.
|
||||
* @returns {number} The number of matches written to `out`.
|
||||
*/
|
||||
withinInto(qx, qy, r, out) {
|
||||
if (!this._finished) throw new Error('Data not yet indexed - call index.finish().');
|
||||
|
||||
const {ids, coords, nodeSize} = this;
|
||||
STACK[0] = 0;
|
||||
STACK[1] = ids.length - 1;
|
||||
STACK[2] = 0;
|
||||
let sp = 3;
|
||||
let count = 0;
|
||||
const r2 = r * r;
|
||||
|
||||
// recursively search for items within radius in the kd-sorted arrays
|
||||
while (sp > 0) {
|
||||
const axis = STACK[--sp];
|
||||
const right = STACK[--sp];
|
||||
const left = STACK[--sp];
|
||||
|
||||
// if we reached "tree node", search linearly
|
||||
if (right - left <= nodeSize) {
|
||||
for (let i = left; i <= right; i++) {
|
||||
if (sqDist(coords[2 * i], coords[2 * i + 1], qx, qy) <= r2) out[count++] = ids[i];
|
||||
}
|
||||
continue;
|
||||
}
|
||||
|
||||
// otherwise find the middle index
|
||||
const m = (left + right) >> 1;
|
||||
|
||||
// include the middle item if it's in range
|
||||
const x = coords[2 * m];
|
||||
const y = coords[2 * m + 1];
|
||||
if (sqDist(x, y, qx, qy) <= r2) out[count++] = ids[m];
|
||||
|
||||
// queue search in halves that intersect the query
|
||||
if (axis === 0 ? qx - r <= x : qy - r <= y) {
|
||||
STACK[sp++] = left;
|
||||
STACK[sp++] = m - 1;
|
||||
STACK[sp++] = 1 - axis;
|
||||
}
|
||||
if (axis === 0 ? qx + r >= x : qy + r >= y) {
|
||||
STACK[sp++] = m + 1;
|
||||
STACK[sp++] = right;
|
||||
STACK[sp++] = 1 - axis;
|
||||
}
|
||||
}
|
||||
|
||||
return count;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {Uint16Array | Uint32Array} ids
|
||||
* @param {TypedArray} coords
|
||||
* @param {number} nodeSize
|
||||
* @param {number} left
|
||||
* @param {number} right
|
||||
* @param {number} axis
|
||||
*/
|
||||
function sort(ids, coords, nodeSize, left, right, axis) {
|
||||
if (right - left <= nodeSize) return;
|
||||
|
||||
const m = (left + right) >> 1; // middle index
|
||||
|
||||
// sort ids and coords around the middle index so that the halves lie
|
||||
// either left/right or top/bottom correspondingly (taking turns)
|
||||
select(ids, coords, m, left, right, axis);
|
||||
|
||||
// recursively kd-sort first half and second half on the opposite axis
|
||||
sort(ids, coords, nodeSize, left, m - 1, 1 - axis);
|
||||
sort(ids, coords, nodeSize, m + 1, right, 1 - axis);
|
||||
}
|
||||
|
||||
/**
|
||||
* Custom Floyd-Rivest selection algorithm: sort ids and coords so that
|
||||
* [left..k-1] items are smaller than k-th item (on either x or y axis)
|
||||
* @param {Uint16Array | Uint32Array} ids
|
||||
* @param {TypedArray} coords
|
||||
* @param {number} k
|
||||
* @param {number} left
|
||||
* @param {number} right
|
||||
* @param {number} axis
|
||||
*/
|
||||
function select(ids, coords, k, left, right, axis) {
|
||||
|
||||
while (right > left) {
|
||||
if (right - left > 600) {
|
||||
const n = right - left + 1;
|
||||
const m = k - left + 1;
|
||||
const z = Math.log(n);
|
||||
const s = 0.5 * Math.exp(2 * z / 3);
|
||||
const sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * (m - n / 2 < 0 ? -1 : 1);
|
||||
const newLeft = Math.max(left, Math.floor(k - m * s / n + sd));
|
||||
const newRight = Math.min(right, Math.floor(k + (n - m) * s / n + sd));
|
||||
select(ids, coords, k, newLeft, newRight, axis);
|
||||
}
|
||||
|
||||
const t = coords[2 * k + axis];
|
||||
let i = left;
|
||||
let j = right;
|
||||
|
||||
swapItem(ids, coords, left, k);
|
||||
if (coords[2 * right + axis] > t) swapItem(ids, coords, left, right);
|
||||
|
||||
while (i < j) {
|
||||
swapItem(ids, coords, i, j);
|
||||
i++;
|
||||
j--;
|
||||
while (coords[2 * i + axis] < t) i++;
|
||||
while (coords[2 * j + axis] > t) j--;
|
||||
}
|
||||
|
||||
if (coords[2 * left + axis] === t) swapItem(ids, coords, left, j);
|
||||
else {
|
||||
j++;
|
||||
swapItem(ids, coords, j, right);
|
||||
}
|
||||
|
||||
if (j <= k) left = j + 1;
|
||||
if (k <= j) right = j - 1;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {Uint16Array | Uint32Array} ids
|
||||
* @param {TypedArray} coords
|
||||
* @param {number} i
|
||||
* @param {number} j
|
||||
*/
|
||||
function swapItem(ids, coords, i, j) {
|
||||
swap(ids, i, j);
|
||||
swap(coords, 2 * i, 2 * j);
|
||||
swap(coords, 2 * i + 1, 2 * j + 1);
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {TypedArray} arr
|
||||
* @param {number} i
|
||||
* @param {number} j
|
||||
*/
|
||||
function swap(arr, i, j) {
|
||||
const tmp = arr[i];
|
||||
arr[i] = arr[j];
|
||||
arr[j] = tmp;
|
||||
}
|
||||
|
||||
/**
|
||||
* @param {number} ax
|
||||
* @param {number} ay
|
||||
* @param {number} bx
|
||||
* @param {number} by
|
||||
*/
|
||||
function sqDist(ax, ay, bx, by) {
|
||||
const dx = ax - bx;
|
||||
const dy = ay - by;
|
||||
return dx * dx + dy * dy;
|
||||
}
|
||||
|
||||
return KDBush;
|
||||
|
||||
}));
|
||||
+1
@@ -0,0 +1 @@
|
||||
!function(t,r){"object"==typeof exports&&"undefined"!=typeof module?module.exports=r():"function"==typeof define&&define.amd?define(r):(t="undefined"!=typeof globalThis?globalThis:t||self).KDBush=r()}(this,function(){"use strict";const t=[Int8Array,Uint8Array,Uint8ClampedArray,Int16Array,Uint16Array,Int32Array,Uint32Array,Float32Array,Float64Array],r=new Uint32Array(96);class n{static from(r){if(!r||void 0===r.byteLength||r.buffer)throw new Error("Data must be an instance of ArrayBuffer or SharedArrayBuffer.");const[e,i]=new Uint8Array(r,0,2);if(219!==e)throw new Error("Data does not appear to be in a KDBush format.");const s=i>>4;if(1!==s)throw new Error(`Got v${s} data when expected v1.`);const o=t[15&i];if(!o)throw new Error("Unrecognized array type.");const[a]=new Uint16Array(r,2,1),[h]=new Uint32Array(r,4,1);return new n(h,a,o,void 0,r)}constructor(r,n=64,e=Float64Array,i=ArrayBuffer,s){if(isNaN(r)||r<0)throw new Error(`Unexpected numItems value: ${r}.`);this.numItems=+r,this.nodeSize=Math.min(Math.max(+n,2),65535),this.ArrayType=e,this.IndexArrayType=r<65536?Uint16Array:Uint32Array;const o=t.indexOf(this.ArrayType),a=2*r*this.ArrayType.BYTES_PER_ELEMENT,h=r*this.IndexArrayType.BYTES_PER_ELEMENT,d=(8-h%8)%8;if(o<0)throw new Error(`Unexpected typed array class: ${e}.`);if(s)this.data=s,this.ids=new this.IndexArrayType(s,8,r),this.coords=new e(s,8+h+d,2*r),this._pos=2*r,this._finished=!0;else{const t=this.data=new i(8+a+h+d);this.ids=new this.IndexArrayType(t,8,r),this.coords=new e(t,8+h+d,2*r),this._pos=0,this._finished=!1,new Uint8Array(t,0,2).set([219,16+o]),new Uint16Array(t,2,1)[0]=n,new Uint32Array(t,4,1)[0]=r}}add(t,r){const n=this._pos>>1;return this.ids[n]=n,this.coords[this._pos++]=t,this.coords[this._pos++]=r,n}finish(){const t=this._pos>>1;if(t!==this.numItems)throw new Error(`Added ${t} items when expected ${this.numItems}.`);return e(this.ids,this.coords,this.nodeSize,0,this.numItems-1,0),this._finished=!0,this}range(t,n,e,i){if(!this._finished)throw new Error("Data not yet indexed - call index.finish().");const{ids:s,coords:o,nodeSize:a}=this;r[0]=0,r[1]=s.length-1,r[2]=0;let h=3;const d=[];for(;h>0;){const f=r[--h],c=r[--h],y=r[--h];if(c-y<=a){for(let r=y;r<=c;r++){const a=o[2*r],h=o[2*r+1];a>=t&&a<=e&&h>=n&&h<=i&&d.push(s[r])}continue}const u=y+c>>1,w=o[2*u],p=o[2*u+1];w>=t&&w<=e&&p>=n&&p<=i&&d.push(s[u]),(0===f?t<=w:n<=p)&&(r[h++]=y,r[h++]=u-1,r[h++]=1-f),(0===f?e>=w:i>=p)&&(r[h++]=u+1,r[h++]=c,r[h++]=1-f)}return d}within(t,r,n){const e=[];return this.withinInto(t,r,n,e),e}withinInto(t,n,e,i){if(!this._finished)throw new Error("Data not yet indexed - call index.finish().");const{ids:s,coords:o,nodeSize:h}=this;r[0]=0,r[1]=s.length-1,r[2]=0;let d=3,f=0;const c=e*e;for(;d>0;){const y=r[--d],u=r[--d],w=r[--d];if(u-w<=h){for(let r=w;r<=u;r++)a(o[2*r],o[2*r+1],t,n)<=c&&(i[f++]=s[r]);continue}const p=w+u>>1,A=o[2*p],l=o[2*p+1];a(A,l,t,n)<=c&&(i[f++]=s[p]),(0===y?t-e<=A:n-e<=l)&&(r[d++]=w,r[d++]=p-1,r[d++]=1-y),(0===y?t+e>=A:n+e>=l)&&(r[d++]=p+1,r[d++]=u,r[d++]=1-y)}return f}}function e(t,r,n,s,o,a){if(o-s<=n)return;const h=s+o>>1;i(t,r,h,s,o,a),e(t,r,n,s,h-1,1-a),e(t,r,n,h+1,o,1-a)}function i(t,r,n,e,o,a){for(;o>e;){if(o-e>600){const s=o-e+1,h=n-e+1,d=Math.log(s),f=.5*Math.exp(2*d/3),c=.5*Math.sqrt(d*f*(s-f)/s)*(h-s/2<0?-1:1);i(t,r,n,Math.max(e,Math.floor(n-h*f/s+c)),Math.min(o,Math.floor(n+(s-h)*f/s+c)),a)}const h=r[2*n+a];let d=e,f=o;for(s(t,r,e,n),r[2*o+a]>h&&s(t,r,e,o);d<f;){for(s(t,r,d,f),d++,f--;r[2*d+a]<h;)d++;for(;r[2*f+a]>h;)f--}r[2*e+a]===h?s(t,r,e,f):(f++,s(t,r,f,o)),f<=n&&(e=f+1),n<=f&&(o=f-1)}}function s(t,r,n,e){o(t,n,e),o(r,2*n,2*e),o(r,2*n+1,2*e+1)}function o(t,r,n){const e=t[r];t[r]=t[n],t[n]=e}function a(t,r,n,e){const i=t-n,s=r-e;return i*i+s*s}return n});
|
||||
+46
@@ -0,0 +1,46 @@
|
||||
{
|
||||
"name": "kdbush",
|
||||
"version": "4.1.0",
|
||||
"description": "A very fast static 2D index for points based on kd-tree.",
|
||||
"type": "module",
|
||||
"main": "kdbush.js",
|
||||
"module": "index.js",
|
||||
"exports": "./index.js",
|
||||
"types": "index.d.ts",
|
||||
"sideEffects": false,
|
||||
"repository": {
|
||||
"type": "git",
|
||||
"url": "git://github.com/mourner/kdbush.git"
|
||||
},
|
||||
"devDependencies": {
|
||||
"@rollup/plugin-terser": "^1.0.0",
|
||||
"eslint": "^10.4.0",
|
||||
"eslint-config-mourner": "^4.1.0",
|
||||
"rollup": "^4.60.4",
|
||||
"typescript": "^6.0.3"
|
||||
},
|
||||
"scripts": {
|
||||
"pretest": "eslint",
|
||||
"test": "tsc && node test.js",
|
||||
"bench": "node bench.js",
|
||||
"build": "rollup -c",
|
||||
"prepublishOnly": "npm run test && npm run build"
|
||||
},
|
||||
"keywords": [
|
||||
"index",
|
||||
"points",
|
||||
"kd-tree",
|
||||
"data structures",
|
||||
"algorithms",
|
||||
"spatial",
|
||||
"geometry"
|
||||
],
|
||||
"files": [
|
||||
"kdbush.js",
|
||||
"kdbush.min.js",
|
||||
"index.js",
|
||||
"index.d.ts"
|
||||
],
|
||||
"author": "Vladimir Agafonkin",
|
||||
"license": "ISC"
|
||||
}
|
||||
Reference in New Issue
Block a user