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+/* Copyright (c) 2012 the authors listed at the following URL, and/or
+the authors of referenced articles or incorporated external code:
+http://en.literateprograms.org/Quickhull_(Javascript)?action=history&offset=20120410175256
+
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so, subject to
+the following conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+Retrieved from: http://en.literateprograms.org/Quickhull_(Javascript)?oldid=18434
+*/
+
+(function () {
+ L.QuickHull = {
+
+ /*
+ * @param {Object} cpt a point to be measured from the baseline
+ * @param {Array} bl the baseline, as represented by a two-element
+ * array of latlng objects.
+ * @returns {Number} an approximate distance measure
+ */
+ getDistant: function (cpt, bl) {
+ var vY = bl[1].lat - bl[0].lat,
+ vX = bl[0].lng - bl[1].lng;
+ return (vX * (cpt.lat - bl[0].lat) + vY * (cpt.lng - bl[0].lng));
+ },
+
+ /*
+ * @param {Array} baseLine a two-element array of latlng objects
+ * representing the baseline to project from
+ * @param {Array} latLngs an array of latlng objects
+ * @returns {Object} the maximum point and all new points to stay
+ * in consideration for the hull.
+ */
+ findMostDistantPointFromBaseLine: function (baseLine, latLngs) {
+ var maxD = 0,
+ maxPt = null,
+ newPoints = [],
+ i, pt, d;
+
+ for (i = latLngs.length - 1; i >= 0; i--) {
+ pt = latLngs[i];
+ d = this.getDistant(pt, baseLine);
+
+ if (d > 0) {
+ newPoints.push(pt);
+ } else {
+ continue;
+ }
+
+ if (d > maxD) {
+ maxD = d;
+ maxPt = pt;
+ }
+ }
+
+ return { maxPoint: maxPt, newPoints: newPoints };
+ },
+
+
+ /*
+ * Given a baseline, compute the convex hull of latLngs as an array
+ * of latLngs.
+ *
+ * @param {Array} latLngs
+ * @returns {Array}
+ */
+ buildConvexHull: function (baseLine, latLngs) {
+ var convexHullBaseLines = [],
+ t = this.findMostDistantPointFromBaseLine(baseLine, latLngs);
+
+ if (t.maxPoint) { // if there is still a point "outside" the base line
+ convexHullBaseLines =
+ convexHullBaseLines.concat(
+ this.buildConvexHull([baseLine[0], t.maxPoint], t.newPoints)
+ );
+ convexHullBaseLines =
+ convexHullBaseLines.concat(
+ this.buildConvexHull([t.maxPoint, baseLine[1]], t.newPoints)
+ );
+ return convexHullBaseLines;
+ } else { // if there is no more point "outside" the base line, the current base line is part of the convex hull
+ return [baseLine[0]];
+ }
+ },
+
+ /*
+ * Given an array of latlngs, compute a convex hull as an array
+ * of latlngs
+ *
+ * @param {Array} latLngs
+ * @returns {Array}
+ */
+ getConvexHull: function (latLngs) {
+ // find first baseline
+ var maxLat = false, minLat = false,
+ maxLng = false, minLng = false,
+ maxLatPt = null, minLatPt = null,
+ maxLngPt = null, minLngPt = null,
+ maxPt = null, minPt = null,
+ i;
+
+ for (i = latLngs.length - 1; i >= 0; i--) {
+ var pt = latLngs[i];
+ if (maxLat === false || pt.lat > maxLat) {
+ maxLatPt = pt;
+ maxLat = pt.lat;
+ }
+ if (minLat === false || pt.lat < minLat) {
+ minLatPt = pt;
+ minLat = pt.lat;
+ }
+ if (maxLng === false || pt.lng > maxLng) {
+ maxLngPt = pt;
+ maxLng = pt.lng;
+ }
+ if (minLng === false || pt.lng < minLng) {
+ minLngPt = pt;
+ minLng = pt.lng;
+ }
+ }
+
+ if (minLat !== maxLat) {
+ minPt = minLatPt;
+ maxPt = maxLatPt;
+ } else {
+ minPt = minLngPt;
+ maxPt = maxLngPt;
+ }
+
+ var ch = [].concat(this.buildConvexHull([minPt, maxPt], latLngs),
+ this.buildConvexHull([maxPt, minPt], latLngs));
+ return ch;
+ }
+ };
+}());
+
+L.MarkerCluster.include({
+ getConvexHull: function () {
+ var childMarkers = this.getAllChildMarkers(),
+ points = [],
+ p, i;
+
+ for (i = childMarkers.length - 1; i >= 0; i--) {
+ p = childMarkers[i].getLatLng();
+ points.push(p);
+ }
+
+ return L.QuickHull.getConvexHull(points);
+ }
+});