(function e(t, n, r) { function s(o, u) { if (!n[o]) { if (!t[o]) { var a = typeof require == "function" && require; if (!u && a) return a(o, !0); if (i) return i(o, !0); var f = new Error("Cannot find module '" + o + "'"); throw f.code = "MODULE_NOT_FOUND", f } var l = n[o] = { exports: {} }; t[o][0].call(l.exports, function (e) { var n = t[o][1][e]; return s(n ? n : e) }, l, l.exports, e, t, n, r) } return n[o].exports } var i = typeof require == "function" && require; for (var o = 0; o < r.length; o++)s(r[o]); return s })({ 1: [function (require, module, exports) { var rbush = require('rbush'); var turf = { center: require('@turf/center'), hexGrid: require('@turf/hex-grid'), destination: require('@turf/destination'), distance: require('@turf/distance'), }; /** * Creates a hexgrid-based vector heatmap on the specified map. * @constructor * @param {Map} map - The map object that this heatmap should add itself to and track. * @param {string} [layername=hexgrid-heatmap] - The layer name to use for the heatmap. * @param {string} [addBefore] - Name of a layer to insert this heatmap underneath. */ function HexgridHeatmap(map, layername, addBefore) { if (layername === undefined) layername = "hexgrid-heatmap"; this.map = map; this.layername = layername; this._setupLayers(layername, addBefore); this._setupEvents(); // Set up an R-tree to look for coordinates as they are stored in GeoJSON Feature objects this._tree = rbush(9, ['["geometry"]["coordinates"][0]', '["geometry"]["coordinates"][1]', '["geometry"]["coordinates"][0]', '["geometry"]["coordinates"][1]']); this._intensity = 8; this._spread = 0.1; this._minCellIntensity = 0; // Drop out cells that have less than this intensity this._maxPointIntensity = 20; // Don't let a single point have a greater weight than this this._cellDensity = 1; var thisthis = this; this._checkUpdateCompleteClosure = function (e) { thisthis._checkUpdateComplete(e); } this._calculatingGrid = false; this._recalcWhenReady = false; this._reduceFunction = function (data) { var sum = 0; var count = 0; data.forEach(function (d) { if (!isNaN(d)) { sum += d; count += 1; } }); return count > 0 ? sum / count : NaN; }; } HexgridHeatmap.prototype = { _setupLayers: function (layername, addBefore) { this.map.addLayer({ 'id': layername, 'type': 'fill', 'source': { type: 'geojson', data: { type: "FeatureCollection", features: [] } }, 'paint': { 'fill-opacity': 1.0, 'fill-color': { property: 'count', stops: [ // Short rainbow blue [0, "rgba(0,185,243,0)"], [50, "rgba(0,185,243,0.24)"], [130, "rgba(255,223,0,0.3)"], [200, "rgba(255,105,0,0.3)"], ] } } }, addBefore); this.layer = this.map.getLayer(layername); this.source = this.map.getSource(layername); }, _setupEvents: function () { var thisthis = this; this.map.on("moveend", function () { thisthis._updateGrid(); }); }, setReduceFunction: function (f) { this._reduceFunction = f; }, setPropertyName: function (propertyName) { this._propertyName = propertyName; }, /** * Set the data to visualize with this heatmap layer * @param {FeatureCollection} data - A GeoJSON FeatureCollection containing data to visualize with this heatmap * @public */ setData: function (data) { // Re-build R-tree index this._tree.clear(); this._tree.load(data.features); }, /** * Set how widely points affect their neighbors * @param {number} spread - A good starting point is 0.1. Higher values will result in more blurred heatmaps, lower values will highlight individual points more strongly. * @public */ setSpread: function (spread) { this._spread = spread; }, /** * Set the intensity value for all points. * @param {number} intensity - Setting this too low will result in no data displayed, setting it too high will result in an oversaturated map. The default is 8 so adjust up or down from there according to the density of your data. * @public */ setIntensity: function (intensity) { this._intensity = intensity; }, /** * Set custom stops for the heatmap color schem * @param {array} stops - An array of `stops` in the format of the Mapbox GL Style Spec. Values should range from 0 to about 200, though you can control saturation by setting different values here. */ setColorStops: function (stops) { this.layer.paint["fill-color"] = { property: "count", stops: stops }; // not sure how to update the layer so forcing reload this.map.removeLayer(this.layer.id) this.map.addLayer(this.layer) }, /** * Set the hexgrid cell density * @param {number} density - Values less than 1 will result in a decreased cell density from the default, values greater than 1 will result in increaded density/higher resolution. Setting this value too high will result in slow performance. * @public */ setCellDensity: function (density) { this._cellDensity = density; }, /** * Manually force an update to the heatmap * You can call this method to manually force the heatmap to be redrawn. Use this after calling `setData()`, `setSpread()`, or `setIntensity()` */ update: function () { this._updateGrid(); }, _generateGrid: function () { // Rebuild grid //var cellSize = Math.min(Math.max(1000/Math.pow(2,this.map.transform.zoom), 0.01), 0.1); // Constant screen size var cellSize = Math.max(500 / Math.pow(2, this.map.transform.zoom) / this._cellDensity, 0.01); // Constant screen size // TODO: These extents don't work when the map is rotated var extents = this.map.getBounds().toArray() extents = [extents[0][0], extents[0][1], extents[1][0], extents[1][1]]; var hexgrid = turf.hexGrid(extents, cellSize, 'kilometers'); var sigma = this._spread; var a = 1 / (sigma * Math.sqrt(2 * Math.PI)); var amplitude = this._intensity; var cellsToSave = []; var thisthis = this; hexgrid.features.forEach(function (cell) { var center = turf.center(cell); var strength = 0; var SW = turf.destination(center, sigma * 4, -135); var NE = turf.destination(center, sigma * 4, 45); var pois = thisthis._tree.search({ minX: SW.geometry.coordinates[0], minY: SW.geometry.coordinates[1], maxX: NE.geometry.coordinates[0], maxY: NE.geometry.coordinates[1] }); if (pois.length > 0) { var values = pois.map(function (d) { return d['properties'][thisthis._propertyName] }); var strength = thisthis._reduceFunction(values); if (!isNaN(strength)) { cell.properties.count = strength; cellsToSave.push(cell); } } }); hexgrid.features = cellsToSave; return hexgrid; }, _updateGrid: function () { if (!this._calculatingGrid) { this._calculatingGrid = true; var hexgrid = this._generateGrid(); if (hexgrid != null) { var thisthis = this; this.source.on("data", this._checkUpdateCompleteClosure); this.source.setData(hexgrid); } else { this._calculatingGrid = false; } } else { this._recalcWhenReady = true; } }, _checkUpdateComplete: function (e) { if (e.dataType == "source") { this.source.off("data", this._checkUpdateCompleteClosure); this._calculatingGrid = false; if (this._recalcWhenReady) this._updateGrid(); } } }; module.exports = exports = HexgridHeatmap; }, { "@turf/center": 4, "@turf/destination": 5, "@turf/distance": 6, "@turf/hex-grid": 8, "rbush": 12 }], 2: [function (require, module, exports) { window.HexgridHeatmap = require('./HexgridHeatmap'); }, { "./HexgridHeatmap": 1 }], 3: [function (require, module, exports) { var each = require('@turf/meta').coordEach; /** * Takes a set of features, calculates the bbox of all input features, and returns a bounding box. * * @name bbox * @param {(Feature|FeatureCollection)} geojson input features * @returns {Array} bbox extent in [minX, minY, maxX, maxY] order * @addToMap features, bboxPolygon * @example * var pt1 = turf.point([114.175329, 22.2524]) * var pt2 = turf.point([114.170007, 22.267969]) * var pt3 = turf.point([114.200649, 22.274641]) * var pt4 = turf.point([114.200649, 22.274641]) * var pt5 = turf.point([114.186744, 22.265745]) * var features = turf.featureCollection([pt1, pt2, pt3, pt4, pt5]) * * var bbox = turf.bbox(features); * * var bboxPolygon = turf.bboxPolygon(bbox); * * //=bbox * * //=bboxPolygon */ module.exports = function (geojson) { var bbox = [Infinity, Infinity, -Infinity, -Infinity]; each(geojson, function (coord) { if (bbox[0] > coord[0]) bbox[0] = coord[0]; if (bbox[1] > coord[1]) bbox[1] = coord[1]; if (bbox[2] < coord[0]) bbox[2] = coord[0]; if (bbox[3] < coord[1]) bbox[3] = coord[1]; }); return bbox; }; }, { "@turf/meta": 10 }], 4: [function (require, module, exports) { var bbox = require('@turf/bbox'), point = require('@turf/helpers').point; /** * Takes a {@link Feature} or {@link FeatureCollection} and returns the absolute center point of all features. * * @name center * @param {(Feature|FeatureCollection)} layer input features * @return {Feature} a Point feature at the absolute center point of all input features * @addToMap features, centerPt * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.522259, 35.4691] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.502754, 35.463455] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.508269, 35.463245] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.516809, 35.465779] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.515372, 35.467072] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.509363, 35.463053] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.511123, 35.466601] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.518547, 35.469327] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.519706, 35.469659] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.517839, 35.466998] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.508678, 35.464942] * } * }, { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-97.514914, 35.463453] * } * } * ] * }; * * var centerPt = turf.center(features); * centerPt.properties['marker-size'] = 'large'; * centerPt.properties['marker-color'] = '#000'; * * var resultFeatures = features.features.concat(centerPt); * var result = { * "type": "FeatureCollection", * "features": resultFeatures * }; * * //=result */ module.exports = function (layer) { var ext = bbox(layer); var x = (ext[0] + ext[2]) / 2; var y = (ext[1] + ext[3]) / 2; return point([x, y]); }; }, { "@turf/bbox": 3, "@turf/helpers": 7 }], 5: [function (require, module, exports) { //http://en.wikipedia.org/wiki/Haversine_formula //http://www.movable-type.co.uk/scripts/latlong.html var getCoord = require('@turf/invariant').getCoord; var helpers = require('@turf/helpers'); var point = helpers.point; var distanceToRadians = helpers.distanceToRadians; /** * Takes a {@link Point} and calculates the location of a destination point given a distance in degrees, radians, miles, or kilometers; and bearing in degrees. This uses the [Haversine formula](http://en.wikipedia.org/wiki/Haversine_formula) to account for global curvature. * * @name destination * @param {Feature} from starting point * @param {number} distance distance from the starting point * @param {number} bearing ranging from -180 to 180 * @param {string} [units=kilometers] miles, kilometers, degrees, or radians * @returns {Feature} destination point * @example * var point = { * "type": "Feature", * "properties": { * "marker-color": "#0f0" * }, * "geometry": { * "type": "Point", * "coordinates": [-75.343, 39.984] * } * }; * var distance = 50; * var bearing = 90; * var units = 'miles'; * * var destination = turf.destination(point, distance, bearing, units); * destination.properties['marker-color'] = '#f00'; * * var result = { * "type": "FeatureCollection", * "features": [point, destination] * }; * * //=result */ module.exports = function (from, distance, bearing, units) { var degrees2radians = Math.PI / 180; var radians2degrees = 180 / Math.PI; var coordinates1 = getCoord(from); var longitude1 = degrees2radians * coordinates1[0]; var latitude1 = degrees2radians * coordinates1[1]; var bearing_rad = degrees2radians * bearing; var radians = distanceToRadians(distance, units); var latitude2 = Math.asin(Math.sin(latitude1) * Math.cos(radians) + Math.cos(latitude1) * Math.sin(radians) * Math.cos(bearing_rad)); var longitude2 = longitude1 + Math.atan2(Math.sin(bearing_rad) * Math.sin(radians) * Math.cos(latitude1), Math.cos(radians) - Math.sin(latitude1) * Math.sin(latitude2)); return point([radians2degrees * longitude2, radians2degrees * latitude2]); }; }, { "@turf/helpers": 7, "@turf/invariant": 9 }], 6: [function (require, module, exports) { var getCoord = require('@turf/invariant').getCoord; var radiansToDistance = require('@turf/helpers').radiansToDistance; //http://en.wikipedia.org/wiki/Haversine_formula //http://www.movable-type.co.uk/scripts/latlong.html /** * Calculates the distance between two {@link Point|points} in degrees, radians, * miles, or kilometers. This uses the * [Haversine formula](http://en.wikipedia.org/wiki/Haversine_formula) * to account for global curvature. * * @name distance * @param {Feature} from origin point * @param {Feature} to destination point * @param {string} [units=kilometers] can be degrees, radians, miles, or kilometers * @returns {number} distance between the two points * @example * var from = { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-75.343, 39.984] * } * }; * var to = { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [-75.534, 39.123] * } * }; * var units = "miles"; * * var points = { * "type": "FeatureCollection", * "features": [from, to] * }; * * //=points * * var distance = turf.distance(from, to, units); * * //=distance */ module.exports = function (from, to, units) { var degrees2radians = Math.PI / 180; var coordinates1 = getCoord(from); var coordinates2 = getCoord(to); var dLat = degrees2radians * (coordinates2[1] - coordinates1[1]); var dLon = degrees2radians * (coordinates2[0] - coordinates1[0]); var lat1 = degrees2radians * coordinates1[1]; var lat2 = degrees2radians * coordinates2[1]; var a = Math.pow(Math.sin(dLat / 2), 2) + Math.pow(Math.sin(dLon / 2), 2) * Math.cos(lat1) * Math.cos(lat2); return radiansToDistance(2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a)), units); }; }, { "@turf/helpers": 7, "@turf/invariant": 9 }], 7: [function (require, module, exports) { /** * Wraps a GeoJSON {@link Geometry} in a GeoJSON {@link Feature}. * * @name feature * @param {Geometry} geometry input geometry * @param {Object} properties properties * @returns {FeatureCollection} a FeatureCollection of input features * @example * var geometry = { * "type": "Point", * "coordinates": [ * 67.5, * 32.84267363195431 * ] * } * * var feature = turf.feature(geometry); * * //=feature */ function feature(geometry, properties) { if (!geometry) throw new Error('No geometry passed'); return { type: 'Feature', properties: properties || {}, geometry: geometry }; } module.exports.feature = feature; /** * Takes coordinates and properties (optional) and returns a new {@link Point} feature. * * @name point * @param {Array} coordinates longitude, latitude position (each in decimal degrees) * @param {Object=} properties an Object that is used as the {@link Feature}'s * properties * @returns {Feature} a Point feature * @example * var pt1 = turf.point([-75.343, 39.984]); * * //=pt1 */ module.exports.point = function (coordinates, properties) { if (!coordinates) throw new Error('No coordinates passed'); if (coordinates.length === undefined) throw new Error('Coordinates must be an array'); if (coordinates.length < 2) throw new Error('Coordinates must be at least 2 numbers long'); if (typeof coordinates[0] !== 'number' || typeof coordinates[1] !== 'number') throw new Error('Coordinates must numbers'); return feature({ type: 'Point', coordinates: coordinates }, properties); }; /** * Takes an array of LinearRings and optionally an {@link Object} with properties and returns a {@link Polygon} feature. * * @name polygon * @param {Array>>} coordinates an array of LinearRings * @param {Object=} properties a properties object * @returns {Feature} a Polygon feature * @throws {Error} throw an error if a LinearRing of the polygon has too few positions * or if a LinearRing of the Polygon does not have matching Positions at the * beginning & end. * @example * var polygon = turf.polygon([[ * [-2.275543, 53.464547], * [-2.275543, 53.489271], * [-2.215118, 53.489271], * [-2.215118, 53.464547], * [-2.275543, 53.464547] * ]], { name: 'poly1', population: 400}); * * //=polygon */ module.exports.polygon = function (coordinates, properties) { if (!coordinates) throw new Error('No coordinates passed'); for (var i = 0; i < coordinates.length; i++) { var ring = coordinates[i]; if (ring.length < 4) { throw new Error('Each LinearRing of a Polygon must have 4 or more Positions.'); } for (var j = 0; j < ring[ring.length - 1].length; j++) { if (ring[ring.length - 1][j] !== ring[0][j]) { throw new Error('First and last Position are not equivalent.'); } } } return feature({ type: 'Polygon', coordinates: coordinates }, properties); }; /** * Creates a {@link LineString} based on a * coordinate array. Properties can be added optionally. * * @name lineString * @param {Array>} coordinates an array of Positions * @param {Object=} properties an Object of key-value pairs to add as properties * @returns {Feature} a LineString feature * @throws {Error} if no coordinates are passed * @example * var linestring1 = turf.lineString([ * [-21.964416, 64.148203], * [-21.956176, 64.141316], * [-21.93901, 64.135924], * [-21.927337, 64.136673] * ]); * var linestring2 = turf.lineString([ * [-21.929054, 64.127985], * [-21.912918, 64.134726], * [-21.916007, 64.141016], * [-21.930084, 64.14446] * ], {name: 'line 1', distance: 145}); * * //=linestring1 * * //=linestring2 */ module.exports.lineString = function (coordinates, properties) { if (!coordinates) throw new Error('No coordinates passed'); return feature({ type: 'LineString', coordinates: coordinates }, properties); }; /** * Takes one or more {@link Feature|Features} and creates a {@link FeatureCollection}. * * @name featureCollection * @param {Feature[]} features input features * @returns {FeatureCollection} a FeatureCollection of input features * @example * var features = [ * turf.point([-75.343, 39.984], {name: 'Location A'}), * turf.point([-75.833, 39.284], {name: 'Location B'}), * turf.point([-75.534, 39.123], {name: 'Location C'}) * ]; * * var fc = turf.featureCollection(features); * * //=fc */ module.exports.featureCollection = function (features) { if (!features) throw new Error('No features passed'); return { type: 'FeatureCollection', features: features }; }; /** * Creates a {@link Feature} based on a * coordinate array. Properties can be added optionally. * * @name multiLineString * @param {Array>>} coordinates an array of LineStrings * @param {Object=} properties an Object of key-value pairs to add as properties * @returns {Feature} a MultiLineString feature * @throws {Error} if no coordinates are passed * @example * var multiLine = turf.multiLineString([[[0,0],[10,10]]]); * * //=multiLine * */ module.exports.multiLineString = function (coordinates, properties) { if (!coordinates) throw new Error('No coordinates passed'); return feature({ type: 'MultiLineString', coordinates: coordinates }, properties); }; /** * Creates a {@link Feature} based on a * coordinate array. Properties can be added optionally. * * @name multiPoint * @param {Array>} coordinates an array of Positions * @param {Object=} properties an Object of key-value pairs to add as properties * @returns {Feature} a MultiPoint feature * @throws {Error} if no coordinates are passed * @example * var multiPt = turf.multiPoint([[0,0],[10,10]]); * * //=multiPt * */ module.exports.multiPoint = function (coordinates, properties) { if (!coordinates) throw new Error('No coordinates passed'); return feature({ type: 'MultiPoint', coordinates: coordinates }, properties); }; /** * Creates a {@link Feature} based on a * coordinate array. Properties can be added optionally. * * @name multiPolygon * @param {Array>>>} coordinates an array of Polygons * @param {Object=} properties an Object of key-value pairs to add as properties * @returns {Feature} a multipolygon feature * @throws {Error} if no coordinates are passed * @example * var multiPoly = turf.multiPolygon([[[[0,0],[0,10],[10,10],[10,0],[0,0]]]]); * * //=multiPoly * */ module.exports.multiPolygon = function (coordinates, properties) { if (!coordinates) throw new Error('No coordinates passed'); return feature({ type: 'MultiPolygon', coordinates: coordinates }, properties); }; /** * Creates a {@link Feature} based on a * coordinate array. Properties can be added optionally. * * @name geometryCollection * @param {Array<{Geometry}>} geometries an array of GeoJSON Geometries * @param {Object=} properties an Object of key-value pairs to add as properties * @returns {Feature} a GeoJSON GeometryCollection Feature * @example * var pt = { * "type": "Point", * "coordinates": [100, 0] * }; * var line = { * "type": "LineString", * "coordinates": [ [101, 0], [102, 1] ] * }; * var collection = turf.geometryCollection([pt, line]); * * //=collection */ module.exports.geometryCollection = function (geometries, properties) { if (!geometries) throw new Error('No geometries passed'); return feature({ type: 'GeometryCollection', geometries: geometries }, properties); }; var factors = { miles: 3960, nauticalmiles: 3441.145, degrees: 57.2957795, radians: 1, inches: 250905600, yards: 6969600, meters: 6373000, metres: 6373000, kilometers: 6373, kilometres: 6373, feet: 20908792.65 }; /* * Convert a distance measurement from radians to a more friendly unit. * * @name radiansToDistance * @param {number} distance in radians across the sphere * @param {string} [units=kilometers] can be degrees, radians, miles, or kilometers * inches, yards, metres, meters, kilometres, kilometers. * @returns {number} distance */ module.exports.radiansToDistance = function (radians, units) { var factor = factors[units || 'kilometers']; if (factor === undefined) throw new Error('Invalid unit'); return radians * factor; }; /* * Convert a distance measurement from a real-world unit into radians * * @name distanceToRadians * @param {number} distance in real units * @param {string} [units=kilometers] can be degrees, radians, miles, or kilometers * inches, yards, metres, meters, kilometres, kilometers. * @returns {number} radians */ module.exports.distanceToRadians = function (distance, units) { var factor = factors[units || 'kilometers']; if (factor === undefined) throw new Error('Invalid unit'); return distance / factor; }; /* * Convert a distance measurement from a real-world unit into degrees * * @name distanceToRadians * @param {number} distance in real units * @param {string} [units=kilometers] can be degrees, radians, miles, or kilometers * inches, yards, metres, meters, kilometres, kilometers. * @returns {number} degrees */ module.exports.distanceToDegrees = function (distance, units) { var factor = factors[units || 'kilometers']; if (factor === undefined) throw new Error('Invalid unit'); return (distance / factor) * 57.2958; }; }, {}], 8: [function (require, module, exports) { var point = require('@turf/helpers').point; var polygon = require('@turf/helpers').polygon; var distance = require('@turf/distance'); var featurecollection = require('@turf/helpers').featureCollection; //Precompute cosines and sines of angles used in hexagon creation // for performance gain var cosines = []; var sines = []; for (var i = 0; i < 6; i++) { var angle = 2 * Math.PI / 6 * i; cosines.push(Math.cos(angle)); sines.push(Math.sin(angle)); } /** * Takes a bounding box and a cell size in degrees and returns a {@link FeatureCollection} of flat-topped * hexagons ({@link Polygon} features) aligned in an "odd-q" vertical grid as * described in [Hexagonal Grids](http://www.redblobgames.com/grids/hexagons/). * * @name hexGrid * @param {Array} bbox extent in [minX, minY, maxX, maxY] order * @param {number} cellSize dimension of cell in specified units * @param {string} [units=kilometers] used in calculating cellSize, can be degrees, radians, miles, or kilometers * @param {boolean} [triangles=false] whether to return as triangles instead of hexagons * @returns {FeatureCollection} a hexagonal grid * @example * var bbox = [-96,31,-84,40]; * var cellSize = 50; * var units = 'miles'; * * var hexgrid = turf.hexGrid(bbox, cellSize, units); * * //=hexgrid */ module.exports = function hexGrid(bbox, cellSize, units, triangles) { var xFraction = cellSize / (distance(point([bbox[0], bbox[1]]), point([bbox[2], bbox[1]]), units)); var cellWidth = xFraction * (bbox[2] - bbox[0]); var yFraction = cellSize / (distance(point([bbox[0], bbox[1]]), point([bbox[0], bbox[3]]), units)); var cellHeight = yFraction * (bbox[3] - bbox[1]); var radius = cellWidth / 2; var hex_width = radius * 2; var hex_height = Math.sqrt(3) / 2 * cellHeight; var box_width = bbox[2] - bbox[0]; var box_height = bbox[3] - bbox[1]; var x_interval = 3 / 4 * hex_width; var y_interval = hex_height; var x_span = box_width / (hex_width - radius / 2); var x_count = Math.ceil(x_span); if (Math.round(x_span) === x_count) { x_count++; } var x_adjust = ((x_count * x_interval - radius / 2) - box_width) / 2 - radius / 2; var y_count = Math.ceil(box_height / hex_height); var y_adjust = (box_height - y_count * hex_height) / 2; var hasOffsetY = y_count * hex_height - box_height > hex_height / 2; if (hasOffsetY) { y_adjust -= hex_height / 4; } var fc = featurecollection([]); for (var x = 0; x < x_count; x++) { for (var y = 0; y <= y_count; y++) { var isOdd = x % 2 === 1; if (y === 0 && isOdd) { continue; } if (y === 0 && hasOffsetY) { continue; } var center_x = x * x_interval + bbox[0] - x_adjust; var center_y = y * y_interval + bbox[1] + y_adjust; if (isOdd) { center_y -= hex_height / 2; } if (triangles) { fc.features.push.apply(fc.features, hexTriangles([center_x, center_y], cellWidth / 2, cellHeight / 2)); } else { fc.features.push(hexagon([center_x, center_y], cellWidth / 2, cellHeight / 2)); } } } return fc; }; //Center should be [x, y] function hexagon(center, rx, ry) { var vertices = []; for (var i = 0; i < 6; i++) { var x = center[0] + rx * cosines[i]; var y = center[1] + ry * sines[i]; vertices.push([x, y]); } //first and last vertex must be the same vertices.push(vertices[0]); return polygon([vertices]); } //Center should be [x, y] function hexTriangles(center, rx, ry) { var triangles = []; for (var i = 0; i < 6; i++) { var vertices = []; vertices.push(center); vertices.push([ center[0] + rx * cosines[i], center[1] + ry * sines[i] ]); vertices.push([ center[0] + rx * cosines[(i + 1) % 6], center[1] + ry * sines[(i + 1) % 6] ]); vertices.push(center); triangles.push(polygon([vertices])); } return triangles; } }, { "@turf/distance": 6, "@turf/helpers": 7 }], 9: [function (require, module, exports) { /** * Unwrap a coordinate from a Point Feature, Geometry or a single coordinate. * * @param {Array|Geometry|Feature} obj any value * @returns {Array} coordinates */ function getCoord(obj) { if (!obj) throw new Error('No obj passed'); var coordinates = getCoords(obj); // getCoord() must contain at least two numbers (Point) if (coordinates.length > 1 && typeof coordinates[0] === 'number' && typeof coordinates[1] === 'number') { return coordinates; } else { throw new Error('Coordinate is not a valid Point'); } } /** * Unwrap coordinates from a Feature, Geometry Object or an Array of numbers * * @param {Array|Geometry|Feature} obj any value * @returns {Array} coordinates */ function getCoords(obj) { if (!obj) throw new Error('No obj passed'); var coordinates; // Array of numbers if (obj.length) { coordinates = obj; // Geometry Object } else if (obj.coordinates) { coordinates = obj.coordinates; // Feature } else if (obj.geometry && obj.geometry.coordinates) { coordinates = obj.geometry.coordinates; } // Checks if coordinates contains a number if (coordinates) { containsNumber(coordinates); return coordinates; } throw new Error('No valid coordinates'); } /** * Checks if coordinates contains a number * * @private * @param {Array} coordinates GeoJSON Coordinates * @returns {boolean} true if Array contains a number */ function containsNumber(coordinates) { if (coordinates.length > 1 && typeof coordinates[0] === 'number' && typeof coordinates[1] === 'number') { return true; } if (coordinates[0].length) { return containsNumber(coordinates[0]); } throw new Error('coordinates must only contain numbers'); } /** * Enforce expectations about types of GeoJSON objects for Turf. * * @alias geojsonType * @param {GeoJSON} value any GeoJSON object * @param {string} type expected GeoJSON type * @param {string} name name of calling function * @throws {Error} if value is not the expected type. */ function geojsonType(value, type, name) { if (!type || !name) throw new Error('type and name required'); if (!value || value.type !== type) { throw new Error('Invalid input to ' + name + ': must be a ' + type + ', given ' + value.type); } } /** * Enforce expectations about types of {@link Feature} inputs for Turf. * Internally this uses {@link geojsonType} to judge geometry types. * * @alias featureOf * @param {Feature} feature a feature with an expected geometry type * @param {string} type expected GeoJSON type * @param {string} name name of calling function * @throws {Error} error if value is not the expected type. */ function featureOf(feature, type, name) { if (!feature) throw new Error('No feature passed'); if (!name) throw new Error('.featureOf() requires a name'); if (!feature || feature.type !== 'Feature' || !feature.geometry) { throw new Error('Invalid input to ' + name + ', Feature with geometry required'); } if (!feature.geometry || feature.geometry.type !== type) { throw new Error('Invalid input to ' + name + ': must be a ' + type + ', given ' + feature.geometry.type); } } /** * Enforce expectations about types of {@link FeatureCollection} inputs for Turf. * Internally this uses {@link geojsonType} to judge geometry types. * * @alias collectionOf * @param {FeatureCollection} featureCollection a FeatureCollection for which features will be judged * @param {string} type expected GeoJSON type * @param {string} name name of calling function * @throws {Error} if value is not the expected type. */ function collectionOf(featureCollection, type, name) { if (!featureCollection) throw new Error('No featureCollection passed'); if (!name) throw new Error('.collectionOf() requires a name'); if (!featureCollection || featureCollection.type !== 'FeatureCollection') { throw new Error('Invalid input to ' + name + ', FeatureCollection required'); } for (var i = 0; i < featureCollection.features.length; i++) { var feature = featureCollection.features[i]; if (!feature || feature.type !== 'Feature' || !feature.geometry) { throw new Error('Invalid input to ' + name + ', Feature with geometry required'); } if (!feature.geometry || feature.geometry.type !== type) { throw new Error('Invalid input to ' + name + ': must be a ' + type + ', given ' + feature.geometry.type); } } } module.exports.geojsonType = geojsonType; module.exports.collectionOf = collectionOf; module.exports.featureOf = featureOf; module.exports.getCoord = getCoord; module.exports.getCoords = getCoords; }, {}], 10: [function (require, module, exports) { /** * Callback for coordEach * * @private * @callback coordEachCallback * @param {[number, number]} currentCoords The current coordinates being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Iterate over coordinates in any GeoJSON object, similar to Array.forEach() * * @name coordEach * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (currentCoords, currentIndex) * @param {boolean} [excludeWrapCoord=false] whether or not to include * the final coordinate of LinearRings that wraps the ring in its iteration. * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.coordEach(features, function (currentCoords, currentIndex) { * //=currentCoords * //=currentIndex * }); */ function coordEach(layer, callback, excludeWrapCoord) { var i, j, k, g, l, geometry, stopG, coords, geometryMaybeCollection, wrapShrink = 0, currentIndex = 0, isGeometryCollection, isFeatureCollection = layer.type === 'FeatureCollection', isFeature = layer.type === 'Feature', stop = isFeatureCollection ? layer.features.length : 1; // This logic may look a little weird. The reason why it is that way // is because it's trying to be fast. GeoJSON supports multiple kinds // of objects at its root: FeatureCollection, Features, Geometries. // This function has the responsibility of handling all of them, and that // means that some of the `for` loops you see below actually just don't apply // to certain inputs. For instance, if you give this just a // Point geometry, then both loops are short-circuited and all we do // is gradually rename the input until it's called 'geometry'. // // This also aims to allocate as few resources as possible: just a // few numbers and booleans, rather than any temporary arrays as would // be required with the normalization approach. for (i = 0; i < stop; i++) { geometryMaybeCollection = (isFeatureCollection ? layer.features[i].geometry : (isFeature ? layer.geometry : layer)); isGeometryCollection = geometryMaybeCollection.type === 'GeometryCollection'; stopG = isGeometryCollection ? geometryMaybeCollection.geometries.length : 1; for (g = 0; g < stopG; g++) { geometry = isGeometryCollection ? geometryMaybeCollection.geometries[g] : geometryMaybeCollection; coords = geometry.coordinates; wrapShrink = (excludeWrapCoord && (geometry.type === 'Polygon' || geometry.type === 'MultiPolygon')) ? 1 : 0; if (geometry.type === 'Point') { callback(coords, currentIndex); currentIndex++; } else if (geometry.type === 'LineString' || geometry.type === 'MultiPoint') { for (j = 0; j < coords.length; j++) { callback(coords[j], currentIndex); currentIndex++; } } else if (geometry.type === 'Polygon' || geometry.type === 'MultiLineString') { for (j = 0; j < coords.length; j++) for (k = 0; k < coords[j].length - wrapShrink; k++) { callback(coords[j][k], currentIndex); currentIndex++; } } else if (geometry.type === 'MultiPolygon') { for (j = 0; j < coords.length; j++) for (k = 0; k < coords[j].length; k++) for (l = 0; l < coords[j][k].length - wrapShrink; l++) { callback(coords[j][k][l], currentIndex); currentIndex++; } } else if (geometry.type === 'GeometryCollection') { for (j = 0; j < geometry.geometries.length; j++) coordEach(geometry.geometries[j], callback, excludeWrapCoord); } else { throw new Error('Unknown Geometry Type'); } } } } module.exports.coordEach = coordEach; /** * Callback for coordReduce * * The first time the callback function is called, the values provided as arguments depend * on whether the reduce method has an initialValue argument. * * If an initialValue is provided to the reduce method: * - The previousValue argument is initialValue. * - The currentValue argument is the value of the first element present in the array. * * If an initialValue is not provided: * - The previousValue argument is the value of the first element present in the array. * - The currentValue argument is the value of the second element present in the array. * * @private * @callback coordReduceCallback * @param {*} previousValue The accumulated value previously returned in the last invocation * of the callback, or initialValue, if supplied. * @param {[number, number]} currentCoords The current coordinate being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Reduce coordinates in any GeoJSON object, similar to Array.reduce() * * @name coordReduce * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (previousValue, currentCoords, currentIndex) * @param {*} [initialValue] Value to use as the first argument to the first call of the callback. * @param {boolean} [excludeWrapCoord=false] whether or not to include * the final coordinate of LinearRings that wraps the ring in its iteration. * @returns {*} The value that results from the reduction. * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.coordReduce(features, function (previousValue, currentCoords, currentIndex) { * //=previousValue * //=currentCoords * //=currentIndex * return currentCoords; * }); */ function coordReduce(layer, callback, initialValue, excludeWrapCoord) { var previousValue = initialValue; coordEach(layer, function (currentCoords, currentIndex) { if (currentIndex === 0 && initialValue === undefined) { previousValue = currentCoords; } else { previousValue = callback(previousValue, currentCoords, currentIndex); } }, excludeWrapCoord); return previousValue; } module.exports.coordReduce = coordReduce; /** * Callback for propEach * * @private * @callback propEachCallback * @param {*} currentProperties The current properties being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Iterate over properties in any GeoJSON object, similar to Array.forEach() * * @name propEach * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (currentProperties, currentIndex) * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {"foo": "bar"}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {"hello": "world"}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.propEach(features, function (currentProperties, currentIndex) { * //=currentProperties * //=currentIndex * }); */ function propEach(layer, callback) { var i; switch (layer.type) { case 'FeatureCollection': for (i = 0; i < layer.features.length; i++) { callback(layer.features[i].properties, i); } break; case 'Feature': callback(layer.properties, 0); break; } } module.exports.propEach = propEach; /** * Callback for propReduce * * The first time the callback function is called, the values provided as arguments depend * on whether the reduce method has an initialValue argument. * * If an initialValue is provided to the reduce method: * - The previousValue argument is initialValue. * - The currentValue argument is the value of the first element present in the array. * * If an initialValue is not provided: * - The previousValue argument is the value of the first element present in the array. * - The currentValue argument is the value of the second element present in the array. * * @private * @callback propReduceCallback * @param {*} previousValue The accumulated value previously returned in the last invocation * of the callback, or initialValue, if supplied. * @param {*} currentProperties The current properties being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Reduce properties in any GeoJSON object into a single value, * similar to how Array.reduce works. However, in this case we lazily run * the reduction, so an array of all properties is unnecessary. * * @name propReduce * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (previousValue, currentProperties, currentIndex) * @param {*} [initialValue] Value to use as the first argument to the first call of the callback. * @returns {*} The value that results from the reduction. * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {"foo": "bar"}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {"hello": "world"}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.propReduce(features, function (previousValue, currentProperties, currentIndex) { * //=previousValue * //=currentProperties * //=currentIndex * return currentProperties * }); */ function propReduce(layer, callback, initialValue) { var previousValue = initialValue; propEach(layer, function (currentProperties, currentIndex) { if (currentIndex === 0 && initialValue === undefined) { previousValue = currentProperties; } else { previousValue = callback(previousValue, currentProperties, currentIndex); } }); return previousValue; } module.exports.propReduce = propReduce; /** * Callback for featureEach * * @private * @callback featureEachCallback * @param {Feature} currentFeature The current feature being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Iterate over features in any GeoJSON object, similar to * Array.forEach. * * @name featureEach * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (currentFeature, currentIndex) * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.featureEach(features, function (currentFeature, currentIndex) { * //=currentFeature * //=currentIndex * }); */ function featureEach(layer, callback) { if (layer.type === 'Feature') { callback(layer, 0); } else if (layer.type === 'FeatureCollection') { for (var i = 0; i < layer.features.length; i++) { callback(layer.features[i], i); } } } module.exports.featureEach = featureEach; /** * Callback for featureReduce * * The first time the callback function is called, the values provided as arguments depend * on whether the reduce method has an initialValue argument. * * If an initialValue is provided to the reduce method: * - The previousValue argument is initialValue. * - The currentValue argument is the value of the first element present in the array. * * If an initialValue is not provided: * - The previousValue argument is the value of the first element present in the array. * - The currentValue argument is the value of the second element present in the array. * * @private * @callback featureReduceCallback * @param {*} previousValue The accumulated value previously returned in the last invocation * of the callback, or initialValue, if supplied. * @param {Feature} currentFeature The current Feature being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Reduce features in any GeoJSON object, similar to Array.reduce(). * * @name featureReduce * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (previousValue, currentFeature, currentIndex) * @param {*} [initialValue] Value to use as the first argument to the first call of the callback. * @returns {*} The value that results from the reduction. * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {"foo": "bar"}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {"hello": "world"}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.featureReduce(features, function (previousValue, currentFeature, currentIndex) { * //=previousValue * //=currentFeature * //=currentIndex * return currentFeature * }); */ function featureReduce(layer, callback, initialValue) { var previousValue = initialValue; featureEach(layer, function (currentFeature, currentIndex) { if (currentIndex === 0 && initialValue === undefined) { previousValue = currentFeature; } else { previousValue = callback(previousValue, currentFeature, currentIndex); } }); return previousValue; } module.exports.featureReduce = featureReduce; /** * Get all coordinates from any GeoJSON object. * * @name coordAll * @param {Object} layer any GeoJSON object * @returns {Array>} coordinate position array * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * var coords = turf.coordAll(features); * //=coords */ function coordAll(layer) { var coords = []; coordEach(layer, function (coord) { coords.push(coord); }); return coords; } module.exports.coordAll = coordAll; /** * Iterate over each geometry in any GeoJSON object, similar to Array.forEach() * * @name geomEach * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (currentGeometry, currentIndex) * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.geomEach(features, function (currentGeometry, currentIndex) { * //=currentGeometry * //=currentIndex * }); */ function geomEach(layer, callback) { var i, j, g, geometry, stopG, geometryMaybeCollection, isGeometryCollection, currentIndex = 0, isFeatureCollection = layer.type === 'FeatureCollection', isFeature = layer.type === 'Feature', stop = isFeatureCollection ? layer.features.length : 1; // This logic may look a little weird. The reason why it is that way // is because it's trying to be fast. GeoJSON supports multiple kinds // of objects at its root: FeatureCollection, Features, Geometries. // This function has the responsibility of handling all of them, and that // means that some of the `for` loops you see below actually just don't apply // to certain inputs. For instance, if you give this just a // Point geometry, then both loops are short-circuited and all we do // is gradually rename the input until it's called 'geometry'. // // This also aims to allocate as few resources as possible: just a // few numbers and booleans, rather than any temporary arrays as would // be required with the normalization approach. for (i = 0; i < stop; i++) { geometryMaybeCollection = (isFeatureCollection ? layer.features[i].geometry : (isFeature ? layer.geometry : layer)); isGeometryCollection = geometryMaybeCollection.type === 'GeometryCollection'; stopG = isGeometryCollection ? geometryMaybeCollection.geometries.length : 1; for (g = 0; g < stopG; g++) { geometry = isGeometryCollection ? geometryMaybeCollection.geometries[g] : geometryMaybeCollection; if (geometry.type === 'Point' || geometry.type === 'LineString' || geometry.type === 'MultiPoint' || geometry.type === 'Polygon' || geometry.type === 'MultiLineString' || geometry.type === 'MultiPolygon') { callback(geometry, currentIndex); currentIndex++; } else if (geometry.type === 'GeometryCollection') { for (j = 0; j < geometry.geometries.length; j++) { callback(geometry.geometries[j], currentIndex); currentIndex++; } } else { throw new Error('Unknown Geometry Type'); } } } } module.exports.geomEach = geomEach; /** * Callback for geomReduce * * The first time the callback function is called, the values provided as arguments depend * on whether the reduce method has an initialValue argument. * * If an initialValue is provided to the reduce method: * - The previousValue argument is initialValue. * - The currentValue argument is the value of the first element present in the array. * * If an initialValue is not provided: * - The previousValue argument is the value of the first element present in the array. * - The currentValue argument is the value of the second element present in the array. * * @private * @callback geomReduceCallback * @param {*} previousValue The accumulated value previously returned in the last invocation * of the callback, or initialValue, if supplied. * @param {*} currentGeometry The current Feature being processed. * @param {number} currentIndex The index of the current element being processed in the * array.Starts at index 0, if an initialValue is provided, and at index 1 otherwise. */ /** * Reduce geometry in any GeoJSON object, similar to Array.reduce(). * * @name geomReduce * @param {Object} layer any GeoJSON object * @param {Function} callback a method that takes (previousValue, currentGeometry, currentIndex) * @param {*} [initialValue] Value to use as the first argument to the first call of the callback. * @returns {*} The value that results from the reduction. * @example * var features = { * "type": "FeatureCollection", * "features": [ * { * "type": "Feature", * "properties": {"foo": "bar"}, * "geometry": { * "type": "Point", * "coordinates": [26, 37] * } * }, * { * "type": "Feature", * "properties": {"hello": "world"}, * "geometry": { * "type": "Point", * "coordinates": [36, 53] * } * } * ] * }; * turf.geomReduce(features, function (previousValue, currentGeometry, currentIndex) { * //=previousValue * //=currentGeometry * //=currentIndex * return currentGeometry * }); */ function geomReduce(layer, callback, initialValue) { var previousValue = initialValue; geomEach(layer, function (currentGeometry, currentIndex) { if (currentIndex === 0 && initialValue === undefined) { previousValue = currentGeometry; } else { previousValue = callback(previousValue, currentGeometry, currentIndex); } }); return previousValue; } module.exports.geomReduce = geomReduce; }, {}], 11: [function (require, module, exports) { 'use strict'; module.exports = partialSort; // Floyd-Rivest selection algorithm: // Rearrange items so that all items in the [left, k] range are smaller than all items in (k, right]; // The k-th element will have the (k - left + 1)th smallest value in [left, right] function partialSort(arr, k, left, right, compare) { left = left || 0; right = right || (arr.length - 1); compare = compare || defaultCompare; while (right > left) { if (right - left > 600) { var n = right - left + 1; var m = k - left + 1; var z = Math.log(n); var s = 0.5 * Math.exp(2 * z / 3); var sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * (m - n / 2 < 0 ? -1 : 1); var newLeft = Math.max(left, Math.floor(k - m * s / n + sd)); var newRight = Math.min(right, Math.floor(k + (n - m) * s / n + sd)); partialSort(arr, k, newLeft, newRight, compare); } var t = arr[k]; var i = left; var j = right; swap(arr, left, k); if (compare(arr[right], t) > 0) swap(arr, left, right); while (i < j) { swap(arr, i, j); i++; j--; while (compare(arr[i], t) < 0) i++; while (compare(arr[j], t) > 0) j--; } if (compare(arr[left], t) === 0) swap(arr, left, j); else { j++; swap(arr, j, right); } if (j <= k) left = j + 1; if (k <= j) right = j - 1; } } function swap(arr, i, j) { var tmp = arr[i]; arr[i] = arr[j]; arr[j] = tmp; } function defaultCompare(a, b) { return a < b ? -1 : a > b ? 1 : 0; } }, {}], 12: [function (require, module, exports) { 'use strict'; module.exports = rbush; var quickselect = require('quickselect'); function rbush(maxEntries, format) { if (!(this instanceof rbush)) return new rbush(maxEntries, format); // max entries in a node is 9 by default; min node fill is 40% for best performance this._maxEntries = Math.max(4, maxEntries || 9); this._minEntries = Math.max(2, Math.ceil(this._maxEntries * 0.4)); if (format) { this._initFormat(format); } this.clear(); } rbush.prototype = { all: function () { return this._all(this.data, []); }, search: function (bbox) { var node = this.data, result = [], toBBox = this.toBBox; if (!intersects(bbox, node)) return result; var nodesToSearch = [], i, len, child, childBBox; while (node) { for (i = 0, len = node.children.length; i < len; i++) { child = node.children[i]; childBBox = node.leaf ? toBBox(child) : child; if (intersects(bbox, childBBox)) { if (node.leaf) result.push(child); else if (contains(bbox, childBBox)) this._all(child, result); else nodesToSearch.push(child); } } node = nodesToSearch.pop(); } return result; }, collides: function (bbox) { var node = this.data, toBBox = this.toBBox; if (!intersects(bbox, node)) return false; var nodesToSearch = [], i, len, child, childBBox; while (node) { for (i = 0, len = node.children.length; i < len; i++) { child = node.children[i]; childBBox = node.leaf ? toBBox(child) : child; if (intersects(bbox, childBBox)) { if (node.leaf || contains(bbox, childBBox)) return true; nodesToSearch.push(child); } } node = nodesToSearch.pop(); } return false; }, load: function (data) { if (!(data && data.length)) return this; if (data.length < this._minEntries) { for (var i = 0, len = data.length; i < len; i++) { this.insert(data[i]); } return this; } // recursively build the tree with the given data from stratch using OMT algorithm var node = this._build(data.slice(), 0, data.length - 1, 0); if (!this.data.children.length) { // save as is if tree is empty this.data = node; } else if (this.data.height === node.height) { // split root if trees have the same height this._splitRoot(this.data, node); } else { if (this.data.height < node.height) { // swap trees if inserted one is bigger var tmpNode = this.data; this.data = node; node = tmpNode; } // insert the small tree into the large tree at appropriate level this._insert(node, this.data.height - node.height - 1, true); } return this; }, insert: function (item) { if (item) this._insert(item, this.data.height - 1); return this; }, clear: function () { this.data = createNode([]); return this; }, remove: function (item, equalsFn) { if (!item) return this; var node = this.data, bbox = this.toBBox(item), path = [], indexes = [], i, parent, index, goingUp; // depth-first iterative tree traversal while (node || path.length) { if (!node) { // go up node = path.pop(); parent = path[path.length - 1]; i = indexes.pop(); goingUp = true; } if (node.leaf) { // check current node index = findItem(item, node.children, equalsFn); if (index !== -1) { // item found, remove the item and condense tree upwards node.children.splice(index, 1); path.push(node); this._condense(path); return this; } } if (!goingUp && !node.leaf && contains(node, bbox)) { // go down path.push(node); indexes.push(i); i = 0; parent = node; node = node.children[0]; } else if (parent) { // go right i++; node = parent.children[i]; goingUp = false; } else node = null; // nothing found } return this; }, toBBox: function (item) { return item; }, compareMinX: compareNodeMinX, compareMinY: compareNodeMinY, toJSON: function () { return this.data; }, fromJSON: function (data) { this.data = data; return this; }, _all: function (node, result) { var nodesToSearch = []; while (node) { if (node.leaf) result.push.apply(result, node.children); else nodesToSearch.push.apply(nodesToSearch, node.children); node = nodesToSearch.pop(); } return result; }, _build: function (items, left, right, height) { var N = right - left + 1, M = this._maxEntries, node; if (N <= M) { // reached leaf level; return leaf node = createNode(items.slice(left, right + 1)); calcBBox(node, this.toBBox); return node; } if (!height) { // target height of the bulk-loaded tree height = Math.ceil(Math.log(N) / Math.log(M)); // target number of root entries to maximize storage utilization M = Math.ceil(N / Math.pow(M, height - 1)); } node = createNode([]); node.leaf = false; node.height = height; // split the items into M mostly square tiles var N2 = Math.ceil(N / M), N1 = N2 * Math.ceil(Math.sqrt(M)), i, j, right2, right3; multiSelect(items, left, right, N1, this.compareMinX); for (i = left; i <= right; i += N1) { right2 = Math.min(i + N1 - 1, right); multiSelect(items, i, right2, N2, this.compareMinY); for (j = i; j <= right2; j += N2) { right3 = Math.min(j + N2 - 1, right2); // pack each entry recursively node.children.push(this._build(items, j, right3, height - 1)); } } calcBBox(node, this.toBBox); return node; }, _chooseSubtree: function (bbox, node, level, path) { var i, len, child, targetNode, area, enlargement, minArea, minEnlargement; while (true) { path.push(node); if (node.leaf || path.length - 1 === level) break; minArea = minEnlargement = Infinity; for (i = 0, len = node.children.length; i < len; i++) { child = node.children[i]; area = bboxArea(child); enlargement = enlargedArea(bbox, child) - area; // choose entry with the least area enlargement if (enlargement < minEnlargement) { minEnlargement = enlargement; minArea = area < minArea ? area : minArea; targetNode = child; } else if (enlargement === minEnlargement) { // otherwise choose one with the smallest area if (area < minArea) { minArea = area; targetNode = child; } } } node = targetNode || node.children[0]; } return node; }, _insert: function (item, level, isNode) { var toBBox = this.toBBox, bbox = isNode ? item : toBBox(item), insertPath = []; // find the best node for accommodating the item, saving all nodes along the path too var node = this._chooseSubtree(bbox, this.data, level, insertPath); // put the item into the node node.children.push(item); extend(node, bbox); // split on node overflow; propagate upwards if necessary while (level >= 0) { if (insertPath[level].children.length > this._maxEntries) { this._split(insertPath, level); level--; } else break; } // adjust bboxes along the insertion path this._adjustParentBBoxes(bbox, insertPath, level); }, // split overflowed node into two _split: function (insertPath, level) { var node = insertPath[level], M = node.children.length, m = this._minEntries; this._chooseSplitAxis(node, m, M); var splitIndex = this._chooseSplitIndex(node, m, M); var newNode = createNode(node.children.splice(splitIndex, node.children.length - splitIndex)); newNode.height = node.height; newNode.leaf = node.leaf; calcBBox(node, this.toBBox); calcBBox(newNode, this.toBBox); if (level) insertPath[level - 1].children.push(newNode); else this._splitRoot(node, newNode); }, _splitRoot: function (node, newNode) { // split root node this.data = createNode([node, newNode]); this.data.height = node.height + 1; this.data.leaf = false; calcBBox(this.data, this.toBBox); }, _chooseSplitIndex: function (node, m, M) { var i, bbox1, bbox2, overlap, area, minOverlap, minArea, index; minOverlap = minArea = Infinity; for (i = m; i <= M - m; i++) { bbox1 = distBBox(node, 0, i, this.toBBox); bbox2 = distBBox(node, i, M, this.toBBox); overlap = intersectionArea(bbox1, bbox2); area = bboxArea(bbox1) + bboxArea(bbox2); // choose distribution with minimum overlap if (overlap < minOverlap) { minOverlap = overlap; index = i; minArea = area < minArea ? area : minArea; } else if (overlap === minOverlap) { // otherwise choose distribution with minimum area if (area < minArea) { minArea = area; index = i; } } } return index; }, // sorts node children by the best axis for split _chooseSplitAxis: function (node, m, M) { var compareMinX = node.leaf ? this.compareMinX : compareNodeMinX, compareMinY = node.leaf ? this.compareMinY : compareNodeMinY, xMargin = this._allDistMargin(node, m, M, compareMinX), yMargin = this._allDistMargin(node, m, M, compareMinY); // if total distributions margin value is minimal for x, sort by minX, // otherwise it's already sorted by minY if (xMargin < yMargin) node.children.sort(compareMinX); }, // total margin of all possible split distributions where each node is at least m full _allDistMargin: function (node, m, M, compare) { node.children.sort(compare); var toBBox = this.toBBox, leftBBox = distBBox(node, 0, m, toBBox), rightBBox = distBBox(node, M - m, M, toBBox), margin = bboxMargin(leftBBox) + bboxMargin(rightBBox), i, child; for (i = m; i < M - m; i++) { child = node.children[i]; extend(leftBBox, node.leaf ? toBBox(child) : child); margin += bboxMargin(leftBBox); } for (i = M - m - 1; i >= m; i--) { child = node.children[i]; extend(rightBBox, node.leaf ? toBBox(child) : child); margin += bboxMargin(rightBBox); } return margin; }, _adjustParentBBoxes: function (bbox, path, level) { // adjust bboxes along the given tree path for (var i = level; i >= 0; i--) { extend(path[i], bbox); } }, _condense: function (path) { // go through the path, removing empty nodes and updating bboxes for (var i = path.length - 1, siblings; i >= 0; i--) { if (path[i].children.length === 0) { if (i > 0) { siblings = path[i - 1].children; siblings.splice(siblings.indexOf(path[i]), 1); } else this.clear(); } else calcBBox(path[i], this.toBBox); } }, _initFormat: function (format) { // data format (minX, minY, maxX, maxY accessors) // uses eval-type function compilation instead of just accepting a toBBox function // because the algorithms are very sensitive to sorting functions performance, // so they should be dead simple and without inner calls var compareArr = ['return a', ' - b', ';']; this.compareMinX = new Function('a', 'b', compareArr.join(format[0])); this.compareMinY = new Function('a', 'b', compareArr.join(format[1])); this.toBBox = new Function('a', 'return {minX: a' + format[0] + ', minY: a' + format[1] + ', maxX: a' + format[2] + ', maxY: a' + format[3] + '};'); } }; function findItem(item, items, equalsFn) { if (!equalsFn) return items.indexOf(item); for (var i = 0; i < items.length; i++) { if (equalsFn(item, items[i])) return i; } return -1; } // calculate node's bbox from bboxes of its children function calcBBox(node, toBBox) { distBBox(node, 0, node.children.length, toBBox, node); } // min bounding rectangle of node children from k to p-1 function distBBox(node, k, p, toBBox, destNode) { if (!destNode) destNode = createNode(null); destNode.minX = Infinity; destNode.minY = Infinity; destNode.maxX = -Infinity; destNode.maxY = -Infinity; for (var i = k, child; i < p; i++) { child = node.children[i]; extend(destNode, node.leaf ? toBBox(child) : child); } return destNode; } function extend(a, b) { a.minX = Math.min(a.minX, b.minX); a.minY = Math.min(a.minY, b.minY); a.maxX = Math.max(a.maxX, b.maxX); a.maxY = Math.max(a.maxY, b.maxY); return a; } function compareNodeMinX(a, b) { return a.minX - b.minX; } function compareNodeMinY(a, b) { return a.minY - b.minY; } function bboxArea(a) { return (a.maxX - a.minX) * (a.maxY - a.minY); } function bboxMargin(a) { return (a.maxX - a.minX) + (a.maxY - a.minY); } function enlargedArea(a, b) { return (Math.max(b.maxX, a.maxX) - Math.min(b.minX, a.minX)) * (Math.max(b.maxY, a.maxY) - Math.min(b.minY, a.minY)); } function intersectionArea(a, b) { var minX = Math.max(a.minX, b.minX), minY = Math.max(a.minY, b.minY), maxX = Math.min(a.maxX, b.maxX), maxY = Math.min(a.maxY, b.maxY); return Math.max(0, maxX - minX) * Math.max(0, maxY - minY); } function contains(a, b) { return a.minX <= b.minX && a.minY <= b.minY && b.maxX <= a.maxX && b.maxY <= a.maxY; } function intersects(a, b) { return b.minX <= a.maxX && b.minY <= a.maxY && b.maxX >= a.minX && b.maxY >= a.minY; } function createNode(children) { return { children: children, height: 1, leaf: true, minX: Infinity, minY: Infinity, maxX: -Infinity, maxY: -Infinity }; } // sort an array so that items come in groups of n unsorted items, with groups sorted between each other; // combines selection algorithm with binary divide & conquer approach function multiSelect(arr, left, right, n, compare) { var stack = [left, right], mid; while (stack.length) { right = stack.pop(); left = stack.pop(); if (right - left <= n) continue; mid = left + Math.ceil((right - left) / n / 2) * n; quickselect(arr, mid, left, right, compare); stack.push(left, mid, mid, right); } } }, { "quickselect": 11 }] }, {}, [2]);