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ISC License
Copyright (c) 2021, Mapbox
Permission to use, copy, modify, and/or distribute this software for any purpose
with or without fee is hereby granted, provided that the above copyright notice
and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH
REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT,
INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS
OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
THIS SOFTWARE.

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# supercluster [![Simply Awesome](https://img.shields.io/badge/simply-awesome-brightgreen.svg)](https://github.com/mourner/projects) [![Build Status](https://travis-ci.com/mapbox/supercluster.svg?branch=main)](https://travis-ci.com/mapbox/supercluster)
A very fast JavaScript library for geospatial point clustering for browsers and Node.
```js
const index = new Supercluster({radius: 40, maxZoom: 16});
index.load(points);
const clusters = index.getClusters([-180, -85, 180, 85], 2);
```
Clustering 6 million points in Leaflet:
![clustering demo on an interactive Leaflet map](https://cloud.githubusercontent.com/assets/25395/11857351/43407b46-a40c-11e5-8662-e99ab1cd2cb7.gif)
Supercluster was built to power clustering in [Mapbox GL JS](https://www.mapbox.com/mapbox-gljs). Read about how it works [on the Mapbox blog](https://blog.mapbox.com/clustering-millions-of-points-on-a-map-with-supercluster-272046ec5c97).
## Install
Install using NPM (`npm install supercluster`) or Yarn (`yarn add supercluster`), then:
```js
// import as a ES module in Node
import Supercluster from 'supercluster';
// import from a CDN in the browser:
import Supercluster from 'https://esm.run/supercluster';
```
Or use it with an ordinary script tag in the browser:
```html
<script src="https://unpkg.com/supercluster@8.0.0/dist/supercluster.min.js"></script>
```
## Methods
#### `load(points)`
Loads an array of [GeoJSON Feature](https://tools.ietf.org/html/rfc7946#section-3.2) objects. Each feature's `geometry` must be a [GeoJSON Point](https://tools.ietf.org/html/rfc7946#section-3.1.2). Once loaded, index is immutable.
#### `getClusters(bbox, zoom)`
For the given `bbox` array (`[westLng, southLat, eastLng, northLat]`) and integer `zoom`, returns an array of clusters and points as [GeoJSON Feature](https://tools.ietf.org/html/rfc7946#section-3.2) objects.
#### `getTile(z, x, y)`
For a given zoom and x/y coordinates, returns a [geojson-vt](https://github.com/mapbox/geojson-vt)-compatible JSON tile object with cluster/point features.
#### `getChildren(clusterId)`
Returns the children of a cluster (on the next zoom level) given its id (`cluster_id` value from feature properties).
#### `getLeaves(clusterId, limit = 10, offset = 0)`
Returns all the points of a cluster (given its `cluster_id`), with pagination support:
`limit` is the number of points to return (set to `Infinity` for all points),
and `offset` is the amount of points to skip (for pagination).
#### `getClusterExpansionZoom(clusterId)`
Returns the zoom on which the cluster expands into several children (useful for "click to zoom" feature) given the cluster's `cluster_id`.
## Options
| Option | Default | Description |
|------------|---------|-------------------------------------------------------------------|
| minZoom | 0 | Minimum zoom level at which clusters are generated. |
| maxZoom | 16 | Maximum zoom level at which clusters are generated. |
| minPoints | 2 | Minimum number of points to form a cluster. |
| radius | 40 | Cluster radius, in pixels. |
| extent | 512 | (Tiles) Tile extent. Radius is calculated relative to this value. |
| nodeSize | 64 | Size of the KD-tree leaf node. Affects performance. |
| log | false | Whether timing info should be logged. |
| generateId | false | Whether to generate ids for input features in vector tiles. |
### Property map/reduce options
In addition to the options above, Supercluster supports property aggregation with the following two options:
- `map`: a function that returns cluster properties corresponding to a single point.
- `reduce`: a reduce function that merges properties of two clusters into one.
Example of setting up a `sum` cluster property that accumulates the sum of `myValue` property values:
```js
const index = new Supercluster({
map: (props) => ({sum: props.myValue}),
reduce: (accumulated, props) => { accumulated.sum += props.sum; }
});
```
The `map`/`reduce` options must satisfy these conditions to work correctly:
- `map` must return a new object, not existing `properties` of a point, otherwise it will get overwritten.
- `reduce` must not mutate the second argument (`props`).
## TypeScript
Install `@types/supercluster` for the TypeScript type definitions:
```
npm install @types/supercluster --save-dev
```
## Developing Supercluster
```
npm install # install dependencies
npm run build # generate dist/supercluster.js and dist/supercluster.min.js
npm test # run tests
```

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(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.Supercluster = 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 */
const VERSION = 1; // serialized format version
const HEADER_SIZE = 8;
class KDBush {
/**
* Creates an index from raw `ArrayBuffer` data.
* @param {ArrayBuffer} data
*/
static from(data) {
if (!(data instanceof ArrayBuffer)) {
throw new Error('Data must be an instance of ArrayBuffer.');
}
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, 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 {ArrayBuffer} [data] (For internal use only)
*/
constructor(numItems, nodeSize = 64, ArrayType = Float64Array, data) {
if (isNaN(numItems) || numItems < 0) throw new Error(`Unpexpected 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 && (data instanceof ArrayBuffer)) { // reconstruct an index from a buffer
this.data = data;
this.ids = new this.IndexArrayType(this.data, HEADER_SIZE, numItems);
this.coords = new this.ArrayType(this.data, HEADER_SIZE + idsByteSize + padCoords, numItems * 2);
this._pos = numItems * 2;
this._finished = true;
} else { // initialize a new index
this.data = new ArrayBuffer(HEADER_SIZE + coordsByteSize + idsByteSize + padCoords);
this.ids = new this.IndexArrayType(this.data, HEADER_SIZE, numItems);
this.coords = new this.ArrayType(this.data, HEADER_SIZE + idsByteSize + padCoords, numItems * 2);
this._pos = 0;
this._finished = false;
// set header
new Uint8Array(this.data, 0, 2).set([0xdb, (VERSION << 4) + arrayTypeIndex]);
new Uint16Array(this.data, 2, 1)[0] = nodeSize;
new Uint32Array(this.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;
const stack = [0, ids.length - 1, 0];
const result = [];
// recursively search for items in range in the kd-sorted arrays
while (stack.length) {
const axis = stack.pop() || 0;
const right = stack.pop() || 0;
const left = stack.pop() || 0;
// 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.push(left);
stack.push(m - 1);
stack.push(1 - axis);
}
if (axis === 0 ? maxX >= x : maxY >= y) {
stack.push(m + 1);
stack.push(right);
stack.push(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) {
if (!this._finished) throw new Error('Data not yet indexed - call index.finish().');
const {ids, coords, nodeSize} = this;
const stack = [0, ids.length - 1, 0];
const result = [];
const r2 = r * r;
// recursively search for items within radius in the kd-sorted arrays
while (stack.length) {
const axis = stack.pop() || 0;
const right = stack.pop() || 0;
const left = stack.pop() || 0;
// 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) 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 (sqDist(x, y, qx, qy) <= r2) result.push(ids[m]);
// queue search in halves that intersect the query
if (axis === 0 ? qx - r <= x : qy - r <= y) {
stack.push(left);
stack.push(m - 1);
stack.push(1 - axis);
}
if (axis === 0 ? qx + r >= x : qy + r >= y) {
stack.push(m + 1);
stack.push(right);
stack.push(1 - axis);
}
}
return result;
}
}
/**
* @param {Uint16Array | Uint32Array} ids
* @param {InstanceType<TypedArrayConstructor>} 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 {InstanceType<TypedArrayConstructor>} 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 {InstanceType<TypedArrayConstructor>} 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 {InstanceType<TypedArrayConstructor>} 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;
}
const defaultOptions = {
minZoom: 0, // min zoom to generate clusters on
maxZoom: 16, // max zoom level to cluster the points on
minPoints: 2, // minimum points to form a cluster
radius: 40, // cluster radius in pixels
extent: 512, // tile extent (radius is calculated relative to it)
nodeSize: 64, // size of the KD-tree leaf node, affects performance
log: false, // whether to log timing info
// whether to generate numeric ids for input features (in vector tiles)
generateId: false,
// a reduce function for calculating custom cluster properties
reduce: null, // (accumulated, props) => { accumulated.sum += props.sum; }
// properties to use for individual points when running the reducer
map: props => props // props => ({sum: props.my_value})
};
const fround = Math.fround || (tmp => ((x) => { tmp[0] = +x; return tmp[0]; }))(new Float32Array(1));
const OFFSET_ZOOM = 2;
const OFFSET_ID = 3;
const OFFSET_PARENT = 4;
const OFFSET_NUM = 5;
const OFFSET_PROP = 6;
class Supercluster {
constructor(options) {
this.options = Object.assign(Object.create(defaultOptions), options);
this.trees = new Array(this.options.maxZoom + 1);
this.stride = this.options.reduce ? 7 : 6;
this.clusterProps = [];
}
load(points) {
const {log, minZoom, maxZoom} = this.options;
if (log) console.time('total time');
const timerId = `prepare ${ points.length } points`;
if (log) console.time(timerId);
this.points = points;
// generate a cluster object for each point and index input points into a KD-tree
const data = [];
for (let i = 0; i < points.length; i++) {
const p = points[i];
if (!p.geometry) continue;
const [lng, lat] = p.geometry.coordinates;
const x = fround(lngX(lng));
const y = fround(latY(lat));
// store internal point/cluster data in flat numeric arrays for performance
data.push(
x, y, // projected point coordinates
Infinity, // the last zoom the point was processed at
i, // index of the source feature in the original input array
-1, // parent cluster id
1 // number of points in a cluster
);
if (this.options.reduce) data.push(0); // noop
}
let tree = this.trees[maxZoom + 1] = this._createTree(data);
if (log) console.timeEnd(timerId);
// cluster points on max zoom, then cluster the results on previous zoom, etc.;
// results in a cluster hierarchy across zoom levels
for (let z = maxZoom; z >= minZoom; z--) {
const now = +Date.now();
// create a new set of clusters for the zoom and index them with a KD-tree
tree = this.trees[z] = this._createTree(this._cluster(tree, z));
if (log) console.log('z%d: %d clusters in %dms', z, tree.numItems, +Date.now() - now);
}
if (log) console.timeEnd('total time');
return this;
}
getClusters(bbox, zoom) {
let minLng = ((bbox[0] + 180) % 360 + 360) % 360 - 180;
const minLat = Math.max(-90, Math.min(90, bbox[1]));
let maxLng = bbox[2] === 180 ? 180 : ((bbox[2] + 180) % 360 + 360) % 360 - 180;
const maxLat = Math.max(-90, Math.min(90, bbox[3]));
if (bbox[2] - bbox[0] >= 360) {
minLng = -180;
maxLng = 180;
} else if (minLng > maxLng) {
const easternHem = this.getClusters([minLng, minLat, 180, maxLat], zoom);
const westernHem = this.getClusters([-180, minLat, maxLng, maxLat], zoom);
return easternHem.concat(westernHem);
}
const tree = this.trees[this._limitZoom(zoom)];
const ids = tree.range(lngX(minLng), latY(maxLat), lngX(maxLng), latY(minLat));
const data = tree.data;
const clusters = [];
for (const id of ids) {
const k = this.stride * id;
clusters.push(data[k + OFFSET_NUM] > 1 ? getClusterJSON(data, k, this.clusterProps) : this.points[data[k + OFFSET_ID]]);
}
return clusters;
}
getChildren(clusterId) {
const originId = this._getOriginId(clusterId);
const originZoom = this._getOriginZoom(clusterId);
const errorMsg = 'No cluster with the specified id.';
const tree = this.trees[originZoom];
if (!tree) throw new Error(errorMsg);
const data = tree.data;
if (originId * this.stride >= data.length) throw new Error(errorMsg);
const r = this.options.radius / (this.options.extent * Math.pow(2, originZoom - 1));
const x = data[originId * this.stride];
const y = data[originId * this.stride + 1];
const ids = tree.within(x, y, r);
const children = [];
for (const id of ids) {
const k = id * this.stride;
if (data[k + OFFSET_PARENT] === clusterId) {
children.push(data[k + OFFSET_NUM] > 1 ? getClusterJSON(data, k, this.clusterProps) : this.points[data[k + OFFSET_ID]]);
}
}
if (children.length === 0) throw new Error(errorMsg);
return children;
}
getLeaves(clusterId, limit, offset) {
limit = limit || 10;
offset = offset || 0;
const leaves = [];
this._appendLeaves(leaves, clusterId, limit, offset, 0);
return leaves;
}
getTile(z, x, y) {
const tree = this.trees[this._limitZoom(z)];
const z2 = Math.pow(2, z);
const {extent, radius} = this.options;
const p = radius / extent;
const top = (y - p) / z2;
const bottom = (y + 1 + p) / z2;
const tile = {
features: []
};
this._addTileFeatures(
tree.range((x - p) / z2, top, (x + 1 + p) / z2, bottom),
tree.data, x, y, z2, tile);
if (x === 0) {
this._addTileFeatures(
tree.range(1 - p / z2, top, 1, bottom),
tree.data, z2, y, z2, tile);
}
if (x === z2 - 1) {
this._addTileFeatures(
tree.range(0, top, p / z2, bottom),
tree.data, -1, y, z2, tile);
}
return tile.features.length ? tile : null;
}
getClusterExpansionZoom(clusterId) {
let expansionZoom = this._getOriginZoom(clusterId) - 1;
while (expansionZoom <= this.options.maxZoom) {
const children = this.getChildren(clusterId);
expansionZoom++;
if (children.length !== 1) break;
clusterId = children[0].properties.cluster_id;
}
return expansionZoom;
}
_appendLeaves(result, clusterId, limit, offset, skipped) {
const children = this.getChildren(clusterId);
for (const child of children) {
const props = child.properties;
if (props && props.cluster) {
if (skipped + props.point_count <= offset) {
// skip the whole cluster
skipped += props.point_count;
} else {
// enter the cluster
skipped = this._appendLeaves(result, props.cluster_id, limit, offset, skipped);
// exit the cluster
}
} else if (skipped < offset) {
// skip a single point
skipped++;
} else {
// add a single point
result.push(child);
}
if (result.length === limit) break;
}
return skipped;
}
_createTree(data) {
const tree = new KDBush(data.length / this.stride | 0, this.options.nodeSize, Float32Array);
for (let i = 0; i < data.length; i += this.stride) tree.add(data[i], data[i + 1]);
tree.finish();
tree.data = data;
return tree;
}
_addTileFeatures(ids, data, x, y, z2, tile) {
for (const i of ids) {
const k = i * this.stride;
const isCluster = data[k + OFFSET_NUM] > 1;
let tags, px, py;
if (isCluster) {
tags = getClusterProperties(data, k, this.clusterProps);
px = data[k];
py = data[k + 1];
} else {
const p = this.points[data[k + OFFSET_ID]];
tags = p.properties;
const [lng, lat] = p.geometry.coordinates;
px = lngX(lng);
py = latY(lat);
}
const f = {
type: 1,
geometry: [[
Math.round(this.options.extent * (px * z2 - x)),
Math.round(this.options.extent * (py * z2 - y))
]],
tags
};
// assign id
let id;
if (isCluster || this.options.generateId) {
// optionally generate id for points
id = data[k + OFFSET_ID];
} else {
// keep id if already assigned
id = this.points[data[k + OFFSET_ID]].id;
}
if (id !== undefined) f.id = id;
tile.features.push(f);
}
}
_limitZoom(z) {
return Math.max(this.options.minZoom, Math.min(Math.floor(+z), this.options.maxZoom + 1));
}
_cluster(tree, zoom) {
const {radius, extent, reduce, minPoints} = this.options;
const r = radius / (extent * Math.pow(2, zoom));
const data = tree.data;
const nextData = [];
const stride = this.stride;
// loop through each point
for (let i = 0; i < data.length; i += stride) {
// if we've already visited the point at this zoom level, skip it
if (data[i + OFFSET_ZOOM] <= zoom) continue;
data[i + OFFSET_ZOOM] = zoom;
// find all nearby points
const x = data[i];
const y = data[i + 1];
const neighborIds = tree.within(data[i], data[i + 1], r);
const numPointsOrigin = data[i + OFFSET_NUM];
let numPoints = numPointsOrigin;
// count the number of points in a potential cluster
for (const neighborId of neighborIds) {
const k = neighborId * stride;
// filter out neighbors that are already processed
if (data[k + OFFSET_ZOOM] > zoom) numPoints += data[k + OFFSET_NUM];
}
// if there were neighbors to merge, and there are enough points to form a cluster
if (numPoints > numPointsOrigin && numPoints >= minPoints) {
let wx = x * numPointsOrigin;
let wy = y * numPointsOrigin;
let clusterProperties;
let clusterPropIndex = -1;
// encode both zoom and point index on which the cluster originated -- offset by total length of features
const id = ((i / stride | 0) << 5) + (zoom + 1) + this.points.length;
for (const neighborId of neighborIds) {
const k = neighborId * stride;
if (data[k + OFFSET_ZOOM] <= zoom) continue;
data[k + OFFSET_ZOOM] = zoom; // save the zoom (so it doesn't get processed twice)
const numPoints2 = data[k + OFFSET_NUM];
wx += data[k] * numPoints2; // accumulate coordinates for calculating weighted center
wy += data[k + 1] * numPoints2;
data[k + OFFSET_PARENT] = id;
if (reduce) {
if (!clusterProperties) {
clusterProperties = this._map(data, i, true);
clusterPropIndex = this.clusterProps.length;
this.clusterProps.push(clusterProperties);
}
reduce(clusterProperties, this._map(data, k));
}
}
data[i + OFFSET_PARENT] = id;
nextData.push(wx / numPoints, wy / numPoints, Infinity, id, -1, numPoints);
if (reduce) nextData.push(clusterPropIndex);
} else { // left points as unclustered
for (let j = 0; j < stride; j++) nextData.push(data[i + j]);
if (numPoints > 1) {
for (const neighborId of neighborIds) {
const k = neighborId * stride;
if (data[k + OFFSET_ZOOM] <= zoom) continue;
data[k + OFFSET_ZOOM] = zoom;
for (let j = 0; j < stride; j++) nextData.push(data[k + j]);
}
}
}
}
return nextData;
}
// get index of the point from which the cluster originated
_getOriginId(clusterId) {
return (clusterId - this.points.length) >> 5;
}
// get zoom of the point from which the cluster originated
_getOriginZoom(clusterId) {
return (clusterId - this.points.length) % 32;
}
_map(data, i, clone) {
if (data[i + OFFSET_NUM] > 1) {
const props = this.clusterProps[data[i + OFFSET_PROP]];
return clone ? Object.assign({}, props) : props;
}
const original = this.points[data[i + OFFSET_ID]].properties;
const result = this.options.map(original);
return clone && result === original ? Object.assign({}, result) : result;
}
}
function getClusterJSON(data, i, clusterProps) {
return {
type: 'Feature',
id: data[i + OFFSET_ID],
properties: getClusterProperties(data, i, clusterProps),
geometry: {
type: 'Point',
coordinates: [xLng(data[i]), yLat(data[i + 1])]
}
};
}
function getClusterProperties(data, i, clusterProps) {
const count = data[i + OFFSET_NUM];
const abbrev =
count >= 10000 ? `${Math.round(count / 1000) }k` :
count >= 1000 ? `${Math.round(count / 100) / 10 }k` : count;
const propIndex = data[i + OFFSET_PROP];
const properties = propIndex === -1 ? {} : Object.assign({}, clusterProps[propIndex]);
return Object.assign(properties, {
cluster: true,
cluster_id: data[i + OFFSET_ID],
point_count: count,
point_count_abbreviated: abbrev
});
}
// longitude/latitude to spherical mercator in [0..1] range
function lngX(lng) {
return lng / 360 + 0.5;
}
function latY(lat) {
const sin = Math.sin(lat * Math.PI / 180);
const y = (0.5 - 0.25 * Math.log((1 + sin) / (1 - sin)) / Math.PI);
return y < 0 ? 0 : y > 1 ? 1 : y;
}
// spherical mercator to longitude/latitude
function xLng(x) {
return (x - 0.5) * 360;
}
function yLat(y) {
const y2 = (180 - y * 360) * Math.PI / 180;
return 360 * Math.atan(Math.exp(y2)) / Math.PI - 90;
}
return Supercluster;
}));

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import KDBush from 'kdbush';
const defaultOptions = {
minZoom: 0, // min zoom to generate clusters on
maxZoom: 16, // max zoom level to cluster the points on
minPoints: 2, // minimum points to form a cluster
radius: 40, // cluster radius in pixels
extent: 512, // tile extent (radius is calculated relative to it)
nodeSize: 64, // size of the KD-tree leaf node, affects performance
log: false, // whether to log timing info
// whether to generate numeric ids for input features (in vector tiles)
generateId: false,
// a reduce function for calculating custom cluster properties
reduce: null, // (accumulated, props) => { accumulated.sum += props.sum; }
// properties to use for individual points when running the reducer
map: props => props // props => ({sum: props.my_value})
};
const fround = Math.fround || (tmp => ((x) => { tmp[0] = +x; return tmp[0]; }))(new Float32Array(1));
const OFFSET_ZOOM = 2;
const OFFSET_ID = 3;
const OFFSET_PARENT = 4;
const OFFSET_NUM = 5;
const OFFSET_PROP = 6;
export default class Supercluster {
constructor(options) {
this.options = Object.assign(Object.create(defaultOptions), options);
this.trees = new Array(this.options.maxZoom + 1);
this.stride = this.options.reduce ? 7 : 6;
this.clusterProps = [];
}
load(points) {
const {log, minZoom, maxZoom} = this.options;
if (log) console.time('total time');
const timerId = `prepare ${ points.length } points`;
if (log) console.time(timerId);
this.points = points;
// generate a cluster object for each point and index input points into a KD-tree
const data = [];
for (let i = 0; i < points.length; i++) {
const p = points[i];
if (!p.geometry) continue;
const [lng, lat] = p.geometry.coordinates;
const x = fround(lngX(lng));
const y = fround(latY(lat));
// store internal point/cluster data in flat numeric arrays for performance
data.push(
x, y, // projected point coordinates
Infinity, // the last zoom the point was processed at
i, // index of the source feature in the original input array
-1, // parent cluster id
1 // number of points in a cluster
);
if (this.options.reduce) data.push(0); // noop
}
let tree = this.trees[maxZoom + 1] = this._createTree(data);
if (log) console.timeEnd(timerId);
// cluster points on max zoom, then cluster the results on previous zoom, etc.;
// results in a cluster hierarchy across zoom levels
for (let z = maxZoom; z >= minZoom; z--) {
const now = +Date.now();
// create a new set of clusters for the zoom and index them with a KD-tree
tree = this.trees[z] = this._createTree(this._cluster(tree, z));
if (log) console.log('z%d: %d clusters in %dms', z, tree.numItems, +Date.now() - now);
}
if (log) console.timeEnd('total time');
return this;
}
getClusters(bbox, zoom) {
let minLng = ((bbox[0] + 180) % 360 + 360) % 360 - 180;
const minLat = Math.max(-90, Math.min(90, bbox[1]));
let maxLng = bbox[2] === 180 ? 180 : ((bbox[2] + 180) % 360 + 360) % 360 - 180;
const maxLat = Math.max(-90, Math.min(90, bbox[3]));
if (bbox[2] - bbox[0] >= 360) {
minLng = -180;
maxLng = 180;
} else if (minLng > maxLng) {
const easternHem = this.getClusters([minLng, minLat, 180, maxLat], zoom);
const westernHem = this.getClusters([-180, minLat, maxLng, maxLat], zoom);
return easternHem.concat(westernHem);
}
const tree = this.trees[this._limitZoom(zoom)];
const ids = tree.range(lngX(minLng), latY(maxLat), lngX(maxLng), latY(minLat));
const data = tree.data;
const clusters = [];
for (const id of ids) {
const k = this.stride * id;
clusters.push(data[k + OFFSET_NUM] > 1 ? getClusterJSON(data, k, this.clusterProps) : this.points[data[k + OFFSET_ID]]);
}
return clusters;
}
getChildren(clusterId) {
const originId = this._getOriginId(clusterId);
const originZoom = this._getOriginZoom(clusterId);
const errorMsg = 'No cluster with the specified id.';
const tree = this.trees[originZoom];
if (!tree) throw new Error(errorMsg);
const data = tree.data;
if (originId * this.stride >= data.length) throw new Error(errorMsg);
const r = this.options.radius / (this.options.extent * Math.pow(2, originZoom - 1));
const x = data[originId * this.stride];
const y = data[originId * this.stride + 1];
const ids = tree.within(x, y, r);
const children = [];
for (const id of ids) {
const k = id * this.stride;
if (data[k + OFFSET_PARENT] === clusterId) {
children.push(data[k + OFFSET_NUM] > 1 ? getClusterJSON(data, k, this.clusterProps) : this.points[data[k + OFFSET_ID]]);
}
}
if (children.length === 0) throw new Error(errorMsg);
return children;
}
getLeaves(clusterId, limit, offset) {
limit = limit || 10;
offset = offset || 0;
const leaves = [];
this._appendLeaves(leaves, clusterId, limit, offset, 0);
return leaves;
}
getTile(z, x, y) {
const tree = this.trees[this._limitZoom(z)];
const z2 = Math.pow(2, z);
const {extent, radius} = this.options;
const p = radius / extent;
const top = (y - p) / z2;
const bottom = (y + 1 + p) / z2;
const tile = {
features: []
};
this._addTileFeatures(
tree.range((x - p) / z2, top, (x + 1 + p) / z2, bottom),
tree.data, x, y, z2, tile);
if (x === 0) {
this._addTileFeatures(
tree.range(1 - p / z2, top, 1, bottom),
tree.data, z2, y, z2, tile);
}
if (x === z2 - 1) {
this._addTileFeatures(
tree.range(0, top, p / z2, bottom),
tree.data, -1, y, z2, tile);
}
return tile.features.length ? tile : null;
}
getClusterExpansionZoom(clusterId) {
let expansionZoom = this._getOriginZoom(clusterId) - 1;
while (expansionZoom <= this.options.maxZoom) {
const children = this.getChildren(clusterId);
expansionZoom++;
if (children.length !== 1) break;
clusterId = children[0].properties.cluster_id;
}
return expansionZoom;
}
_appendLeaves(result, clusterId, limit, offset, skipped) {
const children = this.getChildren(clusterId);
for (const child of children) {
const props = child.properties;
if (props && props.cluster) {
if (skipped + props.point_count <= offset) {
// skip the whole cluster
skipped += props.point_count;
} else {
// enter the cluster
skipped = this._appendLeaves(result, props.cluster_id, limit, offset, skipped);
// exit the cluster
}
} else if (skipped < offset) {
// skip a single point
skipped++;
} else {
// add a single point
result.push(child);
}
if (result.length === limit) break;
}
return skipped;
}
_createTree(data) {
const tree = new KDBush(data.length / this.stride | 0, this.options.nodeSize, Float32Array);
for (let i = 0; i < data.length; i += this.stride) tree.add(data[i], data[i + 1]);
tree.finish();
tree.data = data;
return tree;
}
_addTileFeatures(ids, data, x, y, z2, tile) {
for (const i of ids) {
const k = i * this.stride;
const isCluster = data[k + OFFSET_NUM] > 1;
let tags, px, py;
if (isCluster) {
tags = getClusterProperties(data, k, this.clusterProps);
px = data[k];
py = data[k + 1];
} else {
const p = this.points[data[k + OFFSET_ID]];
tags = p.properties;
const [lng, lat] = p.geometry.coordinates;
px = lngX(lng);
py = latY(lat);
}
const f = {
type: 1,
geometry: [[
Math.round(this.options.extent * (px * z2 - x)),
Math.round(this.options.extent * (py * z2 - y))
]],
tags
};
// assign id
let id;
if (isCluster || this.options.generateId) {
// optionally generate id for points
id = data[k + OFFSET_ID];
} else {
// keep id if already assigned
id = this.points[data[k + OFFSET_ID]].id;
}
if (id !== undefined) f.id = id;
tile.features.push(f);
}
}
_limitZoom(z) {
return Math.max(this.options.minZoom, Math.min(Math.floor(+z), this.options.maxZoom + 1));
}
_cluster(tree, zoom) {
const {radius, extent, reduce, minPoints} = this.options;
const r = radius / (extent * Math.pow(2, zoom));
const data = tree.data;
const nextData = [];
const stride = this.stride;
// loop through each point
for (let i = 0; i < data.length; i += stride) {
// if we've already visited the point at this zoom level, skip it
if (data[i + OFFSET_ZOOM] <= zoom) continue;
data[i + OFFSET_ZOOM] = zoom;
// find all nearby points
const x = data[i];
const y = data[i + 1];
const neighborIds = tree.within(data[i], data[i + 1], r);
const numPointsOrigin = data[i + OFFSET_NUM];
let numPoints = numPointsOrigin;
// count the number of points in a potential cluster
for (const neighborId of neighborIds) {
const k = neighborId * stride;
// filter out neighbors that are already processed
if (data[k + OFFSET_ZOOM] > zoom) numPoints += data[k + OFFSET_NUM];
}
// if there were neighbors to merge, and there are enough points to form a cluster
if (numPoints > numPointsOrigin && numPoints >= minPoints) {
let wx = x * numPointsOrigin;
let wy = y * numPointsOrigin;
let clusterProperties;
let clusterPropIndex = -1;
// encode both zoom and point index on which the cluster originated -- offset by total length of features
const id = ((i / stride | 0) << 5) + (zoom + 1) + this.points.length;
for (const neighborId of neighborIds) {
const k = neighborId * stride;
if (data[k + OFFSET_ZOOM] <= zoom) continue;
data[k + OFFSET_ZOOM] = zoom; // save the zoom (so it doesn't get processed twice)
const numPoints2 = data[k + OFFSET_NUM];
wx += data[k] * numPoints2; // accumulate coordinates for calculating weighted center
wy += data[k + 1] * numPoints2;
data[k + OFFSET_PARENT] = id;
if (reduce) {
if (!clusterProperties) {
clusterProperties = this._map(data, i, true);
clusterPropIndex = this.clusterProps.length;
this.clusterProps.push(clusterProperties);
}
reduce(clusterProperties, this._map(data, k));
}
}
data[i + OFFSET_PARENT] = id;
nextData.push(wx / numPoints, wy / numPoints, Infinity, id, -1, numPoints);
if (reduce) nextData.push(clusterPropIndex);
} else { // left points as unclustered
for (let j = 0; j < stride; j++) nextData.push(data[i + j]);
if (numPoints > 1) {
for (const neighborId of neighborIds) {
const k = neighborId * stride;
if (data[k + OFFSET_ZOOM] <= zoom) continue;
data[k + OFFSET_ZOOM] = zoom;
for (let j = 0; j < stride; j++) nextData.push(data[k + j]);
}
}
}
}
return nextData;
}
// get index of the point from which the cluster originated
_getOriginId(clusterId) {
return (clusterId - this.points.length) >> 5;
}
// get zoom of the point from which the cluster originated
_getOriginZoom(clusterId) {
return (clusterId - this.points.length) % 32;
}
_map(data, i, clone) {
if (data[i + OFFSET_NUM] > 1) {
const props = this.clusterProps[data[i + OFFSET_PROP]];
return clone ? Object.assign({}, props) : props;
}
const original = this.points[data[i + OFFSET_ID]].properties;
const result = this.options.map(original);
return clone && result === original ? Object.assign({}, result) : result;
}
}
function getClusterJSON(data, i, clusterProps) {
return {
type: 'Feature',
id: data[i + OFFSET_ID],
properties: getClusterProperties(data, i, clusterProps),
geometry: {
type: 'Point',
coordinates: [xLng(data[i]), yLat(data[i + 1])]
}
};
}
function getClusterProperties(data, i, clusterProps) {
const count = data[i + OFFSET_NUM];
const abbrev =
count >= 10000 ? `${Math.round(count / 1000) }k` :
count >= 1000 ? `${Math.round(count / 100) / 10 }k` : count;
const propIndex = data[i + OFFSET_PROP];
const properties = propIndex === -1 ? {} : Object.assign({}, clusterProps[propIndex]);
return Object.assign(properties, {
cluster: true,
cluster_id: data[i + OFFSET_ID],
point_count: count,
point_count_abbreviated: abbrev
});
}
// longitude/latitude to spherical mercator in [0..1] range
function lngX(lng) {
return lng / 360 + 0.5;
}
function latY(lat) {
const sin = Math.sin(lat * Math.PI / 180);
const y = (0.5 - 0.25 * Math.log((1 + sin) / (1 - sin)) / Math.PI);
return y < 0 ? 0 : y > 1 ? 1 : y;
}
// spherical mercator to longitude/latitude
function xLng(x) {
return (x - 0.5) * 360;
}
function yLat(y) {
const y2 = (180 - y * 360) * Math.PI / 180;
return 360 * Math.atan(Math.exp(y2)) / Math.PI - 90;
}

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{
"name": "supercluster",
"version": "8.0.1",
"description": "A very fast geospatial point clustering library.",
"main": "dist/supercluster.js",
"type": "module",
"exports": "./index.js",
"module": "index.js",
"jsdelivr": "dist/supercluster.min.js",
"unpkg": "dist/supercluster.min.js",
"sideEffects": false,
"scripts": {
"pretest": "eslint index.js bench.js test/test.js demo/index.js demo/worker.js",
"test": "node test/test.js",
"cov": "c8 npm run test",
"bench": "node --expose-gc bench.js",
"build": "mkdirp dist && rollup -c",
"prepublishOnly": "npm run test && npm run build"
},
"files": [
"index.js",
"dist/supercluster.js",
"dist/supercluster.min.js"
],
"repository": {
"type": "git",
"url": "git://github.com/mapbox/supercluster.git"
},
"keywords": [
"clustering",
"geospatial",
"markers"
],
"author": "Vladimir Agafonkin",
"license": "ISC",
"dependencies": {
"kdbush": "^4.0.2"
},
"devDependencies": {
"@rollup/plugin-node-resolve": "^15.0.2",
"@rollup/plugin-terser": "^0.4.1",
"c8": "^7.13.0",
"eslint": "^8.39.0",
"eslint-config-mourner": "^3.0.0",
"mkdirp": "^3.0.1",
"rollup": "^3.21.0"
},
"eslintConfig": {
"extends": "mourner",
"parserOptions": {
"ecmaVersion": 2020
},
"rules": {
"camelcase": 0
}
}
}