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+};
+
+Point.prototype = {
+
+ // @method clone(): Point
+ // Returns a copy of the current point.
+ clone: function () {
+ return new Point(this.x, this.y);
+ },
+
+ // @method add(otherPoint: Point): Point
+ // Returns the result of addition of the current and the given points.
+ add: function (point) {
+ // non-destructive, returns a new point
+ return this.clone()._add(toPoint(point));
+ },
+
+ _add: function (point) {
+ // destructive, used directly for performance in situations where it's safe to modify existing point
+ this.x += point.x;
+ this.y += point.y;
+ return this;
+ },
+
+ // @method subtract(otherPoint: Point): Point
+ // Returns the result of subtraction of the given point from the current.
+ subtract: function (point) {
+ return this.clone()._subtract(toPoint(point));
+ },
+
+ _subtract: function (point) {
+ this.x -= point.x;
+ this.y -= point.y;
+ return this;
+ },
+
+ // @method divideBy(num: Number): Point
+ // Returns the result of division of the current point by the given number.
+ divideBy: function (num) {
+ return this.clone()._divideBy(num);
+ },
+
+ _divideBy: function (num) {
+ this.x /= num;
+ this.y /= num;
+ return this;
+ },
+
+ // @method multiplyBy(num: Number): Point
+ // Returns the result of multiplication of the current point by the given number.
+ multiplyBy: function (num) {
+ return this.clone()._multiplyBy(num);
+ },
+
+ _multiplyBy: function (num) {
+ this.x *= num;
+ this.y *= num;
+ return this;
+ },
+
+ // @method scaleBy(scale: Point): Point
+ // Multiply each coordinate of the current point by each coordinate of
+ // `scale`. In linear algebra terms, multiply the point by the
+ // [scaling matrix](https://en.wikipedia.org/wiki/Scaling_%28geometry%29#Matrix_representation)
+ // defined by `scale`.
+ scaleBy: function (point) {
+ return new Point(this.x * point.x, this.y * point.y);
+ },
+
+ // @method unscaleBy(scale: Point): Point
+ // Inverse of `scaleBy`. Divide each coordinate of the current point by
+ // each coordinate of `scale`.
+ unscaleBy: function (point) {
+ return new Point(this.x / point.x, this.y / point.y);
+ },
+
+ // @method round(): Point
+ // Returns a copy of the current point with rounded coordinates.
+ round: function () {
+ return this.clone()._round();
+ },
+
+ _round: function () {
+ this.x = Math.round(this.x);
+ this.y = Math.round(this.y);
+ return this;
+ },
+
+ // @method floor(): Point
+ // Returns a copy of the current point with floored coordinates (rounded down).
+ floor: function () {
+ return this.clone()._floor();
+ },
+
+ _floor: function () {
+ this.x = Math.floor(this.x);
+ this.y = Math.floor(this.y);
+ return this;
+ },
+
+ // @method ceil(): Point
+ // Returns a copy of the current point with ceiled coordinates (rounded up).
+ ceil: function () {
+ return this.clone()._ceil();
+ },
+
+ _ceil: function () {
+ this.x = Math.ceil(this.x);
+ this.y = Math.ceil(this.y);
+ return this;
+ },
+
+ // @method trunc(): Point
+ // Returns a copy of the current point with truncated coordinates (rounded towards zero).
+ trunc: function () {
+ return this.clone()._trunc();
+ },
+
+ _trunc: function () {
+ this.x = trunc(this.x);
+ this.y = trunc(this.y);
+ return this;
+ },
+
+ // @method distanceTo(otherPoint: Point): Number
+ // Returns the cartesian distance between the current and the given points.
+ distanceTo: function (point) {
+ point = toPoint(point);
+
+ var x = point.x - this.x,
+ y = point.y - this.y;
+
+ return Math.sqrt(x * x + y * y);
+ },
+
+ // @method equals(otherPoint: Point): Boolean
+ // Returns `true` if the given point has the same coordinates.
+ equals: function (point) {
+ point = toPoint(point);
+
+ return point.x === this.x &&
+ point.y === this.y;
+ },
+
+ // @method contains(otherPoint: Point): Boolean
+ // Returns `true` if both coordinates of the given point are less than the corresponding current point coordinates (in absolute values).
+ contains: function (point) {
+ point = toPoint(point);
+
+ return Math.abs(point.x) <= Math.abs(this.x) &&
+ Math.abs(point.y) <= Math.abs(this.y);
+ },
+
+ // @method toString(): String
+ // Returns a string representation of the point for debugging purposes.
+ toString: function () {
+ return 'Point(' +
+ formatNum(this.x) + ', ' +
+ formatNum(this.y) + ')';
+ }
+};
+
+// @factory L.point(x: Number, y: Number, round?: Boolean)
+// Creates a Point object with the given `x` and `y` coordinates. If optional `round` is set to true, rounds the `x` and `y` values.
+
+// @alternative
+// @factory L.point(coords: Number[])
+// Expects an array of the form `[x, y]` instead.
+
+// @alternative
+// @factory L.point(coords: Object)
+// Expects a plain object of the form `{x: Number, y: Number}` instead.
+function toPoint(x, y, round) {
+ if (x instanceof Point) {
+ return x;
+ }
+ if (isArray(x)) {
+ return new Point(x[0], x[1]);
+ }
+ if (x === undefined || x === null) {
+ return x;
+ }
+ if (typeof x === 'object' && 'x' in x && 'y' in x) {
+ return new Point(x.x, x.y);
+ }
+ return new Point(x, y, round);
+}
+
+/*
+ * @class Bounds
+ * @aka L.Bounds
+ *
+ * Represents a rectangular area in pixel coordinates.
+ *
+ * @example
+ *
+ * ```js
+ * var p1 = L.point(10, 10),
+ * p2 = L.point(40, 60),
+ * bounds = L.bounds(p1, p2);
+ * ```
+ *
+ * All Leaflet methods that accept `Bounds` objects also accept them in a simple Array form (unless noted otherwise), so the bounds example above can be passed like this:
+ *
+ * ```js
+ * otherBounds.intersects([[10, 10], [40, 60]]);
+ * ```
+ *
+ * Note that `Bounds` does not inherit from Leaflet's `Class` object,
+ * which means new classes can't inherit from it, and new methods
+ * can't be added to it with the `include` function.
+ */
+
+function Bounds(a, b) {
+ if (!a) { return; }
+
+ var points = b ? [a, b] : a;
+
+ for (var i = 0, len = points.length; i < len; i++) {
+ this.extend(points[i]);
+ }
+}
+
+Bounds.prototype = {
+ // @method extend(point: Point): this
+ // Extends the bounds to contain the given point.
+ extend: function (point) { // (Point)
+ point = toPoint(point);
+
+ // @property min: Point
+ // The top left corner of the rectangle.
+ // @property max: Point
+ // The bottom right corner of the rectangle.
+ if (!this.min && !this.max) {
+ this.min = point.clone();
+ this.max = point.clone();
+ } else {
+ this.min.x = Math.min(point.x, this.min.x);
+ this.max.x = Math.max(point.x, this.max.x);
+ this.min.y = Math.min(point.y, this.min.y);
+ this.max.y = Math.max(point.y, this.max.y);
+ }
+ return this;
+ },
+
+ // @method getCenter(round?: Boolean): Point
+ // Returns the center point of the bounds.
+ getCenter: function (round) {
+ return new Point(
+ (this.min.x + this.max.x) / 2,
+ (this.min.y + this.max.y) / 2, round);
+ },
+
+ // @method getBottomLeft(): Point
+ // Returns the bottom-left point of the bounds.
+ getBottomLeft: function () {
+ return new Point(this.min.x, this.max.y);
+ },
+
+ // @method getTopRight(): Point
+ // Returns the top-right point of the bounds.
+ getTopRight: function () { // -> Point
+ return new Point(this.max.x, this.min.y);
+ },
+
+ // @method getTopLeft(): Point
+ // Returns the top-left point of the bounds (i.e. [`this.min`](#bounds-min)).
+ getTopLeft: function () {
+ return this.min; // left, top
+ },
+
+ // @method getBottomRight(): Point
+ // Returns the bottom-right point of the bounds (i.e. [`this.max`](#bounds-max)).
+ getBottomRight: function () {
+ return this.max; // right, bottom
+ },
+
+ // @method getSize(): Point
+ // Returns the size of the given bounds
+ getSize: function () {
+ return this.max.subtract(this.min);
+ },
+
+ // @method contains(otherBounds: Bounds): Boolean
+ // Returns `true` if the rectangle contains the given one.
+ // @alternative
+ // @method contains(point: Point): Boolean
+ // Returns `true` if the rectangle contains the given point.
+ contains: function (obj) {
+ var min, max;
+
+ if (typeof obj[0] === 'number' || obj instanceof Point) {
+ obj = toPoint(obj);
+ } else {
+ obj = toBounds(obj);
+ }
+
+ if (obj instanceof Bounds) {
+ min = obj.min;
+ max = obj.max;
+ } else {
+ min = max = obj;
+ }
+
+ return (min.x >= this.min.x) &&
+ (max.x <= this.max.x) &&
+ (min.y >= this.min.y) &&
+ (max.y <= this.max.y);
+ },
+
+ // @method intersects(otherBounds: Bounds): Boolean
+ // Returns `true` if the rectangle intersects the given bounds. Two bounds
+ // intersect if they have at least one point in common.
+ intersects: function (bounds) { // (Bounds) -> Boolean
+ bounds = toBounds(bounds);
+
+ var min = this.min,
+ max = this.max,
+ min2 = bounds.min,
+ max2 = bounds.max,
+ xIntersects = (max2.x >= min.x) && (min2.x <= max.x),
+ yIntersects = (max2.y >= min.y) && (min2.y <= max.y);
+
+ return xIntersects && yIntersects;
+ },
+
+ // @method overlaps(otherBounds: Bounds): Boolean
+ // Returns `true` if the rectangle overlaps the given bounds. Two bounds
+ // overlap if their intersection is an area.
+ overlaps: function (bounds) { // (Bounds) -> Boolean
+ bounds = toBounds(bounds);
+
+ var min = this.min,
+ max = this.max,
+ min2 = bounds.min,
+ max2 = bounds.max,
+ xOverlaps = (max2.x > min.x) && (min2.x < max.x),
+ yOverlaps = (max2.y > min.y) && (min2.y < max.y);
+
+ return xOverlaps && yOverlaps;
+ },
+
+ isValid: function () {
+ return !!(this.min && this.max);
+ }
+};
+
+
+// @factory L.bounds(corner1: Point, corner2: Point)
+// Creates a Bounds object from two corners coordinate pairs.
+// @alternative
+// @factory L.bounds(points: Point[])
+// Creates a Bounds object from the given array of points.
+function toBounds(a, b) {
+ if (!a || a instanceof Bounds) {
+ return a;
+ }
+ return new Bounds(a, b);
+}
+
+/*
+ * @class LatLngBounds
+ * @aka L.LatLngBounds
+ *
+ * Represents a rectangular geographical area on a map.
+ *
+ * @example
+ *
+ * ```js
+ * var corner1 = L.latLng(40.712, -74.227),
+ * corner2 = L.latLng(40.774, -74.125),
+ * bounds = L.latLngBounds(corner1, corner2);
+ * ```
+ *
+ * All Leaflet methods that accept LatLngBounds objects also accept them in a simple Array form (unless noted otherwise), so the bounds example above can be passed like this:
+ *
+ * ```js
+ * map.fitBounds([
+ * [40.712, -74.227],
+ * [40.774, -74.125]
+ * ]);
+ * ```
+ *
+ * Caution: if the area crosses the antimeridian (often confused with the International Date Line), you must specify corners _outside_ the [-180, 180] degrees longitude range.
+ *
+ * Note that `LatLngBounds` does not inherit from Leaflet's `Class` object,
+ * which means new classes can't inherit from it, and new methods
+ * can't be added to it with the `include` function.
+ */
+
+function LatLngBounds(corner1, corner2) { // (LatLng, LatLng) or (LatLng[])
+ if (!corner1) { return; }
+
+ var latlngs = corner2 ? [corner1, corner2] : corner1;
+
+ for (var i = 0, len = latlngs.length; i < len; i++) {
+ this.extend(latlngs[i]);
+ }
+}
+
+LatLngBounds.prototype = {
+
+ // @method extend(latlng: LatLng): this
+ // Extend the bounds to contain the given point
+
+ // @alternative
+ // @method extend(otherBounds: LatLngBounds): this
+ // Extend the bounds to contain the given bounds
+ extend: function (obj) {
+ var sw = this._southWest,
+ ne = this._northEast,
+ sw2, ne2;
+
+ if (obj instanceof LatLng) {
+ sw2 = obj;
+ ne2 = obj;
+
+ } else if (obj instanceof LatLngBounds) {
+ sw2 = obj._southWest;
+ ne2 = obj._northEast;
+
+ if (!sw2 || !ne2) { return this; }
+
+ } else {
+ return obj ? this.extend(toLatLng(obj) || toLatLngBounds(obj)) : this;
+ }
+
+ if (!sw && !ne) {
+ this._southWest = new LatLng(sw2.lat, sw2.lng);
+ this._northEast = new LatLng(ne2.lat, ne2.lng);
+ } else {
+ sw.lat = Math.min(sw2.lat, sw.lat);
+ sw.lng = Math.min(sw2.lng, sw.lng);
+ ne.lat = Math.max(ne2.lat, ne.lat);
+ ne.lng = Math.max(ne2.lng, ne.lng);
+ }
+
+ return this;
+ },
+
+ // @method pad(bufferRatio: Number): LatLngBounds
+ // Returns bounds created by extending or retracting the current bounds by a given ratio in each direction.
+ // For example, a ratio of 0.5 extends the bounds by 50% in each direction.
+ // Negative values will retract the bounds.
+ pad: function (bufferRatio) {
+ var sw = this._southWest,
+ ne = this._northEast,
+ heightBuffer = Math.abs(sw.lat - ne.lat) * bufferRatio,
+ widthBuffer = Math.abs(sw.lng - ne.lng) * bufferRatio;
+
+ return new LatLngBounds(
+ new LatLng(sw.lat - heightBuffer, sw.lng - widthBuffer),
+ new LatLng(ne.lat + heightBuffer, ne.lng + widthBuffer));
+ },
+
+ // @method getCenter(): LatLng
+ // Returns the center point of the bounds.
+ getCenter: function () {
+ return new LatLng(
+ (this._southWest.lat + this._northEast.lat) / 2,
+ (this._southWest.lng + this._northEast.lng) / 2);
+ },
+
+ // @method getSouthWest(): LatLng
+ // Returns the south-west point of the bounds.
+ getSouthWest: function () {
+ return this._southWest;
+ },
+
+ // @method getNorthEast(): LatLng
+ // Returns the north-east point of the bounds.
+ getNorthEast: function () {
+ return this._northEast;
+ },
+
+ // @method getNorthWest(): LatLng
+ // Returns the north-west point of the bounds.
+ getNorthWest: function () {
+ return new LatLng(this.getNorth(), this.getWest());
+ },
+
+ // @method getSouthEast(): LatLng
+ // Returns the south-east point of the bounds.
+ getSouthEast: function () {
+ return new LatLng(this.getSouth(), this.getEast());
+ },
+
+ // @method getWest(): Number
+ // Returns the west longitude of the bounds
+ getWest: function () {
+ return this._southWest.lng;
+ },
+
+ // @method getSouth(): Number
+ // Returns the south latitude of the bounds
+ getSouth: function () {
+ return this._southWest.lat;
+ },
+
+ // @method getEast(): Number
+ // Returns the east longitude of the bounds
+ getEast: function () {
+ return this._northEast.lng;
+ },
+
+ // @method getNorth(): Number
+ // Returns the north latitude of the bounds
+ getNorth: function () {
+ return this._northEast.lat;
+ },
+
+ // @method contains(otherBounds: LatLngBounds): Boolean
+ // Returns `true` if the rectangle contains the given one.
+
+ // @alternative
+ // @method contains (latlng: LatLng): Boolean
+ // Returns `true` if the rectangle contains the given point.
+ contains: function (obj) { // (LatLngBounds) or (LatLng) -> Boolean
+ if (typeof obj[0] === 'number' || obj instanceof LatLng || 'lat' in obj) {
+ obj = toLatLng(obj);
+ } else {
+ obj = toLatLngBounds(obj);
+ }
+
+ var sw = this._southWest,
+ ne = this._northEast,
+ sw2, ne2;
+
+ if (obj instanceof LatLngBounds) {
+ sw2 = obj.getSouthWest();
+ ne2 = obj.getNorthEast();
+ } else {
+ sw2 = ne2 = obj;
+ }
+
+ return (sw2.lat >= sw.lat) && (ne2.lat <= ne.lat) &&
+ (sw2.lng >= sw.lng) && (ne2.lng <= ne.lng);
+ },
+
+ // @method intersects(otherBounds: LatLngBounds): Boolean
+ // Returns `true` if the rectangle intersects the given bounds. Two bounds intersect if they have at least one point in common.
+ intersects: function (bounds) {
+ bounds = toLatLngBounds(bounds);
+
+ var sw = this._southWest,
+ ne = this._northEast,
+ sw2 = bounds.getSouthWest(),
+ ne2 = bounds.getNorthEast(),
+
+ latIntersects = (ne2.lat >= sw.lat) && (sw2.lat <= ne.lat),
+ lngIntersects = (ne2.lng >= sw.lng) && (sw2.lng <= ne.lng);
+
+ return latIntersects && lngIntersects;
+ },
+
+ // @method overlaps(otherBounds: LatLngBounds): Boolean
+ // Returns `true` if the rectangle overlaps the given bounds. Two bounds overlap if their intersection is an area.
+ overlaps: function (bounds) {
+ bounds = toLatLngBounds(bounds);
+
+ var sw = this._southWest,
+ ne = this._northEast,
+ sw2 = bounds.getSouthWest(),
+ ne2 = bounds.getNorthEast(),
+
+ latOverlaps = (ne2.lat > sw.lat) && (sw2.lat < ne.lat),
+ lngOverlaps = (ne2.lng > sw.lng) && (sw2.lng < ne.lng);
+
+ return latOverlaps && lngOverlaps;
+ },
+
+ // @method toBBoxString(): String
+ // Returns a string with bounding box coordinates in a 'southwest_lng,southwest_lat,northeast_lng,northeast_lat' format. Useful for sending requests to web services that return geo data.
+ toBBoxString: function () {
+ return [this.getWest(), this.getSouth(), this.getEast(), this.getNorth()].join(',');
+ },
+
+ // @method equals(otherBounds: LatLngBounds, maxMargin?: Number): Boolean
+ // Returns `true` if the rectangle is equivalent (within a small margin of error) to the given bounds. The margin of error can be overridden by setting `maxMargin` to a small number.
+ equals: function (bounds, maxMargin) {
+ if (!bounds) { return false; }
+
+ bounds = toLatLngBounds(bounds);
+
+ return this._southWest.equals(bounds.getSouthWest(), maxMargin) &&
+ this._northEast.equals(bounds.getNorthEast(), maxMargin);
+ },
+
+ // @method isValid(): Boolean
+ // Returns `true` if the bounds are properly initialized.
+ isValid: function () {
+ return !!(this._southWest && this._northEast);
+ }
+};
+
+// TODO International date line?
+
+// @factory L.latLngBounds(corner1: LatLng, corner2: LatLng)
+// Creates a `LatLngBounds` object by defining two diagonally opposite corners of the rectangle.
+
+// @alternative
+// @factory L.latLngBounds(latlngs: LatLng[])
+// Creates a `LatLngBounds` object defined by the geographical points it contains. Very useful for zooming the map to fit a particular set of locations with [`fitBounds`](#map-fitbounds).
+function toLatLngBounds(a, b) {
+ if (a instanceof LatLngBounds) {
+ return a;
+ }
+ return new LatLngBounds(a, b);
+}
+
+/* @class LatLng
+ * @aka L.LatLng
+ *
+ * Represents a geographical point with a certain latitude and longitude.
+ *
+ * @example
+ *
+ * ```
+ * var latlng = L.latLng(50.5, 30.5);
+ * ```
+ *
+ * All Leaflet methods that accept LatLng objects also accept them in a simple Array form and simple object form (unless noted otherwise), so these lines are equivalent:
+ *
+ * ```
+ * map.panTo([50, 30]);
+ * map.panTo({lon: 30, lat: 50});
+ * map.panTo({lat: 50, lng: 30});
+ * map.panTo(L.latLng(50, 30));
+ * ```
+ *
+ * Note that `LatLng` does not inherit from Leaflet's `Class` object,
+ * which means new classes can't inherit from it, and new methods
+ * can't be added to it with the `include` function.
+ */
+
+function LatLng(lat, lng, alt) {
+ if (isNaN(lat) || isNaN(lng)) {
+ throw new Error('Invalid LatLng object: (' + lat + ', ' + lng + ')');
+ }
+
+ // @property lat: Number
+ // Latitude in degrees
+ this.lat = +lat;
+
+ // @property lng: Number
+ // Longitude in degrees
+ this.lng = +lng;
+
+ // @property alt: Number
+ // Altitude in meters (optional)
+ if (alt !== undefined) {
+ this.alt = +alt;
+ }
+}
+
+LatLng.prototype = {
+ // @method equals(otherLatLng: LatLng, maxMargin?: Number): Boolean
+ // Returns `true` if the given `LatLng` point is at the same position (within a small margin of error). The margin of error can be overridden by setting `maxMargin` to a small number.
+ equals: function (obj, maxMargin) {
+ if (!obj) { return false; }
+
+ obj = toLatLng(obj);
+
+ var margin = Math.max(
+ Math.abs(this.lat - obj.lat),
+ Math.abs(this.lng - obj.lng));
+
+ return margin <= (maxMargin === undefined ? 1.0E-9 : maxMargin);
+ },
+
+ // @method toString(): String
+ // Returns a string representation of the point (for debugging purposes).
+ toString: function (precision) {
+ return 'LatLng(' +
+ formatNum(this.lat, precision) + ', ' +
+ formatNum(this.lng, precision) + ')';
+ },
+
+ // @method distanceTo(otherLatLng: LatLng): Number
+ // Returns the distance (in meters) to the given `LatLng` calculated using the [Spherical Law of Cosines](https://en.wikipedia.org/wiki/Spherical_law_of_cosines).
+ distanceTo: function (other) {
+ return Earth.distance(this, toLatLng(other));
+ },
+
+ // @method wrap(): LatLng
+ // Returns a new `LatLng` object with the longitude wrapped so it's always between -180 and +180 degrees.
+ wrap: function () {
+ return Earth.wrapLatLng(this);
+ },
+
+ // @method toBounds(sizeInMeters: Number): LatLngBounds
+ // Returns a new `LatLngBounds` object in which each boundary is `sizeInMeters/2` meters apart from the `LatLng`.
+ toBounds: function (sizeInMeters) {
+ var latAccuracy = 180 * sizeInMeters / 40075017,
+ lngAccuracy = latAccuracy / Math.cos((Math.PI / 180) * this.lat);
+
+ return toLatLngBounds(
+ [this.lat - latAccuracy, this.lng - lngAccuracy],
+ [this.lat + latAccuracy, this.lng + lngAccuracy]);
+ },
+
+ clone: function () {
+ return new LatLng(this.lat, this.lng, this.alt);
+ }
+};
+
+
+
+// @factory L.latLng(latitude: Number, longitude: Number, altitude?: Number): LatLng
+// Creates an object representing a geographical point with the given latitude and longitude (and optionally altitude).
+
+// @alternative
+// @factory L.latLng(coords: Array): LatLng
+// Expects an array of the form `[Number, Number]` or `[Number, Number, Number]` instead.
+
+// @alternative
+// @factory L.latLng(coords: Object): LatLng
+// Expects an plain object of the form `{lat: Number, lng: Number}` or `{lat: Number, lng: Number, alt: Number}` instead.
+
+function toLatLng(a, b, c) {
+ if (a instanceof LatLng) {
+ return a;
+ }
+ if (isArray(a) && typeof a[0] !== 'object') {
+ if (a.length === 3) {
+ return new LatLng(a[0], a[1], a[2]);
+ }
+ if (a.length === 2) {
+ return new LatLng(a[0], a[1]);
+ }
+ return null;
+ }
+ if (a === undefined || a === null) {
+ return a;
+ }
+ if (typeof a === 'object' && 'lat' in a) {
+ return new LatLng(a.lat, 'lng' in a ? a.lng : a.lon, a.alt);
+ }
+ if (b === undefined) {
+ return null;
+ }
+ return new LatLng(a, b, c);
+}
+
+/*
+ * @namespace CRS
+ * @crs L.CRS.Base
+ * Object that defines coordinate reference systems for projecting
+ * geographical points into pixel (screen) coordinates and back (and to
+ * coordinates in other units for [WMS](https://en.wikipedia.org/wiki/Web_Map_Service) services). See
+ * [spatial reference system](http://en.wikipedia.org/wiki/Coordinate_reference_system).
+ *
+ * Leaflet defines the most usual CRSs by default. If you want to use a
+ * CRS not defined by default, take a look at the
+ * [Proj4Leaflet](https://github.com/kartena/Proj4Leaflet) plugin.
+ *
+ * Note that the CRS instances do not inherit from Leaflet's `Class` object,
+ * and can't be instantiated. Also, new classes can't inherit from them,
+ * and methods can't be added to them with the `include` function.
+ */
+
+var CRS = {
+ // @method latLngToPoint(latlng: LatLng, zoom: Number): Point
+ // Projects geographical coordinates into pixel coordinates for a given zoom.
+ latLngToPoint: function (latlng, zoom) {
+ var projectedPoint = this.projection.project(latlng),
+ scale = this.scale(zoom);
+
+ return this.transformation._transform(projectedPoint, scale);
+ },
+
+ // @method pointToLatLng(point: Point, zoom: Number): LatLng
+ // The inverse of `latLngToPoint`. Projects pixel coordinates on a given
+ // zoom into geographical coordinates.
+ pointToLatLng: function (point, zoom) {
+ var scale = this.scale(zoom),
+ untransformedPoint = this.transformation.untransform(point, scale);
+
+ return this.projection.unproject(untransformedPoint);
+ },
+
+ // @method project(latlng: LatLng): Point
+ // Projects geographical coordinates into coordinates in units accepted for
+ // this CRS (e.g. meters for EPSG:3857, for passing it to WMS services).
+ project: function (latlng) {
+ return this.projection.project(latlng);
+ },
+
+ // @method unproject(point: Point): LatLng
+ // Given a projected coordinate returns the corresponding LatLng.
+ // The inverse of `project`.
+ unproject: function (point) {
+ return this.projection.unproject(point);
+ },
+
+ // @method scale(zoom: Number): Number
+ // Returns the scale used when transforming projected coordinates into
+ // pixel coordinates for a particular zoom. For example, it returns
+ // `256 * 2^zoom` for Mercator-based CRS.
+ scale: function (zoom) {
+ return 256 * Math.pow(2, zoom);
+ },
+
+ // @method zoom(scale: Number): Number
+ // Inverse of `scale()`, returns the zoom level corresponding to a scale
+ // factor of `scale`.
+ zoom: function (scale) {
+ return Math.log(scale / 256) / Math.LN2;
+ },
+
+ // @method getProjectedBounds(zoom: Number): Bounds
+ // Returns the projection's bounds scaled and transformed for the provided `zoom`.
+ getProjectedBounds: function (zoom) {
+ if (this.infinite) { return null; }
+
+ var b = this.projection.bounds,
+ s = this.scale(zoom),
+ min = this.transformation.transform(b.min, s),
+ max = this.transformation.transform(b.max, s);
+
+ return new Bounds(min, max);
+ },
+
+ // @method distance(latlng1: LatLng, latlng2: LatLng): Number
+ // Returns the distance between two geographical coordinates.
+
+ // @property code: String
+ // Standard code name of the CRS passed into WMS services (e.g. `'EPSG:3857'`)
+ //
+ // @property wrapLng: Number[]
+ // An array of two numbers defining whether the longitude (horizontal) coordinate
+ // axis wraps around a given range and how. Defaults to `[-180, 180]` in most
+ // geographical CRSs. If `undefined`, the longitude axis does not wrap around.
+ //
+ // @property wrapLat: Number[]
+ // Like `wrapLng`, but for the latitude (vertical) axis.
+
+ // wrapLng: [min, max],
+ // wrapLat: [min, max],
+
+ // @property infinite: Boolean
+ // If true, the coordinate space will be unbounded (infinite in both axes)
+ infinite: false,
+
+ // @method wrapLatLng(latlng: LatLng): LatLng
+ // Returns a `LatLng` where lat and lng has been wrapped according to the
+ // CRS's `wrapLat` and `wrapLng` properties, if they are outside the CRS's bounds.
+ wrapLatLng: function (latlng) {
+ var lng = this.wrapLng ? wrapNum(latlng.lng, this.wrapLng, true) : latlng.lng,
+ lat = this.wrapLat ? wrapNum(latlng.lat, this.wrapLat, true) : latlng.lat,
+ alt = latlng.alt;
+
+ return new LatLng(lat, lng, alt);
+ },
+
+ // @method wrapLatLngBounds(bounds: LatLngBounds): LatLngBounds
+ // Returns a `LatLngBounds` with the same size as the given one, ensuring
+ // that its center is within the CRS's bounds.
+ // Only accepts actual `L.LatLngBounds` instances, not arrays.
+ wrapLatLngBounds: function (bounds) {
+ var center = bounds.getCenter(),
+ newCenter = this.wrapLatLng(center),
+ latShift = center.lat - newCenter.lat,
+ lngShift = center.lng - newCenter.lng;
+
+ if (latShift === 0 && lngShift === 0) {
+ return bounds;
+ }
+
+ var sw = bounds.getSouthWest(),
+ ne = bounds.getNorthEast(),
+ newSw = new LatLng(sw.lat - latShift, sw.lng - lngShift),
+ newNe = new LatLng(ne.lat - latShift, ne.lng - lngShift);
+
+ return new LatLngBounds(newSw, newNe);
+ }
+};
+
+/*
+ * @namespace CRS
+ * @crs L.CRS.Earth
+ *
+ * Serves as the base for CRS that are global such that they cover the earth.
+ * Can only be used as the base for other CRS and cannot be used directly,
+ * since it does not have a `code`, `projection` or `transformation`. `distance()` returns
+ * meters.
+ */
+
+var Earth = extend({}, CRS, {
+ wrapLng: [-180, 180],
+
+ // Mean Earth Radius, as recommended for use by
+ // the International Union of Geodesy and Geophysics,
+ // see http://rosettacode.org/wiki/Haversine_formula
+ R: 6371000,
+
+ // distance between two geographical points using spherical law of cosines approximation
+ distance: function (latlng1, latlng2) {
+ var rad = Math.PI / 180,
+ lat1 = latlng1.lat * rad,
+ lat2 = latlng2.lat * rad,
+ sinDLat = Math.sin((latlng2.lat - latlng1.lat) * rad / 2),
+ sinDLon = Math.sin((latlng2.lng - latlng1.lng) * rad / 2),
+ a = sinDLat * sinDLat + Math.cos(lat1) * Math.cos(lat2) * sinDLon * sinDLon,
+ c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a));
+ return this.R * c;
+ }
+});
+
+/*
+ * @namespace Projection
+ * @projection L.Projection.SphericalMercator
+ *
+ * Spherical Mercator projection โ the most common projection for online maps,
+ * used by almost all free and commercial tile providers. Assumes that Earth is
+ * a sphere. Used by the `EPSG:3857` CRS.
+ */
+
+var earthRadius = 6378137;
+
+var SphericalMercator = {
+
+ R: earthRadius,
+ MAX_LATITUDE: 85.0511287798,
+
+ project: function (latlng) {
+ var d = Math.PI / 180,
+ max = this.MAX_LATITUDE,
+ lat = Math.max(Math.min(max, latlng.lat), -max),
+ sin = Math.sin(lat * d);
+
+ return new Point(
+ this.R * latlng.lng * d,
+ this.R * Math.log((1 + sin) / (1 - sin)) / 2);
+ },
+
+ unproject: function (point) {
+ var d = 180 / Math.PI;
+
+ return new LatLng(
+ (2 * Math.atan(Math.exp(point.y / this.R)) - (Math.PI / 2)) * d,
+ point.x * d / this.R);
+ },
+
+ bounds: (function () {
+ var d = earthRadius * Math.PI;
+ return new Bounds([-d, -d], [d, d]);
+ })()
+};
+
+/*
+ * @class Transformation
+ * @aka L.Transformation
+ *
+ * Represents an affine transformation: a set of coefficients `a`, `b`, `c`, `d`
+ * for transforming a point of a form `(x, y)` into `(a*x + b, c*y + d)` and doing
+ * the reverse. Used by Leaflet in its projections code.
+ *
+ * @example
+ *
+ * ```js
+ * var transformation = L.transformation(2, 5, -1, 10),
+ * p = L.point(1, 2),
+ * p2 = transformation.transform(p), // L.point(7, 8)
+ * p3 = transformation.untransform(p2); // L.point(1, 2)
+ * ```
+ */
+
+
+// factory new L.Transformation(a: Number, b: Number, c: Number, d: Number)
+// Creates a `Transformation` object with the given coefficients.
+function Transformation(a, b, c, d) {
+ if (isArray(a)) {
+ // use array properties
+ this._a = a[0];
+ this._b = a[1];
+ this._c = a[2];
+ this._d = a[3];
+ return;
+ }
+ this._a = a;
+ this._b = b;
+ this._c = c;
+ this._d = d;
+}
+
+Transformation.prototype = {
+ // @method transform(point: Point, scale?: Number): Point
+ // Returns a transformed point, optionally multiplied by the given scale.
+ // Only accepts actual `L.Point` instances, not arrays.
+ transform: function (point, scale) { // (Point, Number) -> Point
+ return this._transform(point.clone(), scale);
+ },
+
+ // destructive transform (faster)
+ _transform: function (point, scale) {
+ scale = scale || 1;
+ point.x = scale * (this._a * point.x + this._b);
+ point.y = scale * (this._c * point.y + this._d);
+ return point;
+ },
+
+ // @method untransform(point: Point, scale?: Number): Point
+ // Returns the reverse transformation of the given point, optionally divided
+ // by the given scale. Only accepts actual `L.Point` instances, not arrays.
+ untransform: function (point, scale) {
+ scale = scale || 1;
+ return new Point(
+ (point.x / scale - this._b) / this._a,
+ (point.y / scale - this._d) / this._c);
+ }
+};
+
+// factory L.transformation(a: Number, b: Number, c: Number, d: Number)
+
+// @factory L.transformation(a: Number, b: Number, c: Number, d: Number)
+// Instantiates a Transformation object with the given coefficients.
+
+// @alternative
+// @factory L.transformation(coefficients: Array): Transformation
+// Expects an coefficients array of the form
+// `[a: Number, b: Number, c: Number, d: Number]`.
+
+function toTransformation(a, b, c, d) {
+ return new Transformation(a, b, c, d);
+}
+
+/*
+ * @namespace CRS
+ * @crs L.CRS.EPSG3857
+ *
+ * The most common CRS for online maps, used by almost all free and commercial
+ * tile providers. Uses Spherical Mercator projection. Set in by default in
+ * Map's `crs` option.
+ */
+
+var EPSG3857 = extend({}, Earth, {
+ code: 'EPSG:3857',
+ projection: SphericalMercator,
+
+ transformation: (function () {
+ var scale = 0.5 / (Math.PI * SphericalMercator.R);
+ return toTransformation(scale, 0.5, -scale, 0.5);
+ }())
+});
+
+var EPSG900913 = extend({}, EPSG3857, {
+ code: 'EPSG:900913'
+});
+
+// @namespace SVG; @section
+// There are several static functions which can be called without instantiating L.SVG:
+
+// @function create(name: String): SVGElement
+// Returns a instance of [SVGElement](https://developer.mozilla.org/docs/Web/API/SVGElement),
+// corresponding to the class name passed. For example, using 'line' will return
+// an instance of [SVGLineElement](https://developer.mozilla.org/docs/Web/API/SVGLineElement).
+function svgCreate(name) {
+ return document.createElementNS('http://www.w3.org/2000/svg', name);
+}
+
+// @function pointsToPath(rings: Point[], closed: Boolean): String
+// Generates a SVG path string for multiple rings, with each ring turning
+// into "M..L..L.." instructions
+function pointsToPath(rings, closed) {
+ var str = '',
+ i, j, len, len2, points, p;
+
+ for (i = 0, len = rings.length; i < len; i++) {
+ points = rings[i];
+
+ for (j = 0, len2 = points.length; j < len2; j++) {
+ p = points[j];
+ str += (j ? 'L' : 'M') + p.x + ' ' + p.y;
+ }
+
+ // closes the ring for polygons; "x" is VML syntax
+ str += closed ? (svg ? 'z' : 'x') : '';
+ }
+
+ // SVG complains about empty path strings
+ return str || 'M0 0';
+}
+
+/*
+ * @namespace Browser
+ * @aka L.Browser
+ *
+ * A namespace with static properties for browser/feature detection used by Leaflet internally.
+ *
+ * @example
+ *
+ * ```js
+ * if (L.Browser.ielt9) {
+ * alert('Upgrade your browser, dude!');
+ * }
+ * ```
+ */
+
+var style$1 = document.documentElement.style;
+
+// @property ie: Boolean; `true` for all Internet Explorer versions (not Edge).
+var ie = 'ActiveXObject' in window;
+
+// @property ielt9: Boolean; `true` for Internet Explorer versions less than 9.
+var ielt9 = ie && !document.addEventListener;
+
+// @property edge: Boolean; `true` for the Edge web browser.
+var edge = 'msLaunchUri' in navigator && !('documentMode' in document);
+
+// @property webkit: Boolean;
+// `true` for webkit-based browsers like Chrome and Safari (including mobile versions).
+var webkit = userAgentContains('webkit');
+
+// @property android: Boolean
+// `true` for any browser running on an Android platform.
+var android = userAgentContains('android');
+
+// @property android23: Boolean; `true` for browsers running on Android 2 or Android 3.
+var android23 = userAgentContains('android 2') || userAgentContains('android 3');
+
+/* See https://stackoverflow.com/a/17961266 for details on detecting stock Android */
+var webkitVer = parseInt(/WebKit\/([0-9]+)|$/.exec(navigator.userAgent)[1], 10); // also matches AppleWebKit
+// @property androidStock: Boolean; `true` for the Android stock browser (i.e. not Chrome)
+var androidStock = android && userAgentContains('Google') && webkitVer < 537 && !('AudioNode' in window);
+
+// @property opera: Boolean; `true` for the Opera browser
+var opera = !!window.opera;
+
+// @property chrome: Boolean; `true` for the Chrome browser.
+var chrome = !edge && userAgentContains('chrome');
+
+// @property gecko: Boolean; `true` for gecko-based browsers like Firefox.
+var gecko = userAgentContains('gecko') && !webkit && !opera && !ie;
+
+// @property safari: Boolean; `true` for the Safari browser.
+var safari = !chrome && userAgentContains('safari');
+
+var phantom = userAgentContains('phantom');
+
+// @property opera12: Boolean
+// `true` for the Opera browser supporting CSS transforms (version 12 or later).
+var opera12 = 'OTransition' in style$1;
+
+// @property win: Boolean; `true` when the browser is running in a Windows platform
+var win = navigator.platform.indexOf('Win') === 0;
+
+// @property ie3d: Boolean; `true` for all Internet Explorer versions supporting CSS transforms.
+var ie3d = ie && ('transition' in style$1);
+
+// @property webkit3d: Boolean; `true` for webkit-based browsers supporting CSS transforms.
+var webkit3d = ('WebKitCSSMatrix' in window) && ('m11' in new window.WebKitCSSMatrix()) && !android23;
+
+// @property gecko3d: Boolean; `true` for gecko-based browsers supporting CSS transforms.
+var gecko3d = 'MozPerspective' in style$1;
+
+// @property any3d: Boolean
+// `true` for all browsers supporting CSS transforms.
+var any3d = !window.L_DISABLE_3D && (ie3d || webkit3d || gecko3d) && !opera12 && !phantom;
+
+// @property mobile: Boolean; `true` for all browsers running in a mobile device.
+var mobile = typeof orientation !== 'undefined' || userAgentContains('mobile');
+
+// @property mobileWebkit: Boolean; `true` for all webkit-based browsers in a mobile device.
+var mobileWebkit = mobile && webkit;
+
+// @property mobileWebkit3d: Boolean
+// `true` for all webkit-based browsers in a mobile device supporting CSS transforms.
+var mobileWebkit3d = mobile && webkit3d;
+
+// @property msPointer: Boolean
+// `true` for browsers implementing the Microsoft touch events model (notably IE10).
+var msPointer = !window.PointerEvent && window.MSPointerEvent;
+
+// @property pointer: Boolean
+// `true` for all browsers supporting [pointer events](https://msdn.microsoft.com/en-us/library/dn433244%28v=vs.85%29.aspx).
+var pointer = !!(window.PointerEvent || msPointer);
+
+// @property touch: Boolean
+// `true` for all browsers supporting [touch events](https://developer.mozilla.org/docs/Web/API/Touch_events).
+// This does not necessarily mean that the browser is running in a computer with
+// a touchscreen, it only means that the browser is capable of understanding
+// touch events.
+var touch = !window.L_NO_TOUCH && (pointer || 'ontouchstart' in window ||
+ (window.DocumentTouch && document instanceof window.DocumentTouch));
+
+// @property mobileOpera: Boolean; `true` for the Opera browser in a mobile device.
+var mobileOpera = mobile && opera;
+
+// @property mobileGecko: Boolean
+// `true` for gecko-based browsers running in a mobile device.
+var mobileGecko = mobile && gecko;
+
+// @property retina: Boolean
+// `true` for browsers on a high-resolution "retina" screen or on any screen when browser's display zoom is more than 100%.
+var retina = (window.devicePixelRatio || (window.screen.deviceXDPI / window.screen.logicalXDPI)) > 1;
+
+// @property passiveEvents: Boolean
+// `true` for browsers that support passive events.
+var passiveEvents = (function () {
+ var supportsPassiveOption = false;
+ try {
+ var opts = Object.defineProperty({}, 'passive', {
+ get: function () { // eslint-disable-line getter-return
+ supportsPassiveOption = true;
+ }
+ });
+ window.addEventListener('testPassiveEventSupport', falseFn, opts);
+ window.removeEventListener('testPassiveEventSupport', falseFn, opts);
+ } catch (e) {
+ // Errors can safely be ignored since this is only a browser support test.
+ }
+ return supportsPassiveOption;
+}());
+
+// @property canvas: Boolean
+// `true` when the browser supports [`