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/*
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(c) 2013, Vladimir Agafonkin
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Simplify.js, a high-performance JS polyline simplification library
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mourner.github.io/simplify-js
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*/
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(function () { "use strict";
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// to suit your point format, run search/replace for '.x', '.y' and '.z';
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// (configurability would draw significant performance overhead)
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// square distance between 2 points
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function getSquareDistance(p1, p2) {
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var dx = p1.x - p2.x,
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dy = p1.y - p2.y,
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dz = p1.z - p2.z;
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return dx * dx + dy * dy + dz * dz;
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}
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// square distance from a point to a segment
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function getSquareSegmentDistance(p, p1, p2) {
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var x = p1.x,
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y = p1.y,
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z = p1.z,
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dx = p2.x - x,
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dy = p2.y - y,
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dz = p2.z - z;
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if (dx !== 0 || dy !== 0 || dz !== 0) {
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var t = ((p.x - x) * dx + (p.y - y) * dy + (p.z - z) * dz) /
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(dx * dx + dy * dy + dz * dz);
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if (t > 1) {
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x = p2.x;
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y = p2.y;
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z = p2.z;
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} else if (t > 0) {
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x += dx * t;
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y += dy * t;
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z += dz * t;
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}
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}
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dx = p.x - x;
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dy = p.y - y;
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dz = p.z - z;
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return dx * dx + dy * dy + dz * dz;
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}
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// the rest of the code doesn't care for the point format
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// basic distance-based simplification
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function simplifyRadialDistance(points, sqTolerance) {
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var prevPoint = points[0],
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newPoints = [prevPoint],
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point;
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for (var i = 1, len = points.length; i < len; i++) {
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point = points[i];
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if (getSquareDistance(point, prevPoint) > sqTolerance) {
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newPoints.push(point);
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prevPoint = point;
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}
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}
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if (prevPoint !== point) {
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newPoints.push(point);
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}
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return newPoints;
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}
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// simplification using optimized Douglas-Peucker algorithm with recursion elimination
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function simplifyDouglasPeucker(points, sqTolerance) {
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var len = points.length,
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MarkerArray = typeof Uint8Array !== 'undefined' ? Uint8Array : Array,
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markers = new MarkerArray(len),
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first = 0,
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last = len - 1,
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stack = [],
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newPoints = [],
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i, maxSqDist, sqDist, index;
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markers[first] = markers[last] = 1;
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while (last) {
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maxSqDist = 0;
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for (i = first + 1; i < last; i++) {
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sqDist = getSquareSegmentDistance(points[i], points[first], points[last]);
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if (sqDist > maxSqDist) {
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index = i;
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maxSqDist = sqDist;
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}
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}
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if (maxSqDist > sqTolerance) {
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markers[index] = 1;
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stack.push(first, index, index, last);
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}
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last = stack.pop();
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first = stack.pop();
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}
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for (i = 0; i < len; i++) {
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if (markers[i]) {
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newPoints.push(points[i]);
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}
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}
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return newPoints;
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}
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// both algorithms combined for awesome performance
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function simplify(points, tolerance, highestQuality) {
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var sqTolerance = tolerance !== undefined ? tolerance * tolerance : 1;
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points = highestQuality ? points : simplifyRadialDistance(points, sqTolerance);
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points = simplifyDouglasPeucker(points, sqTolerance);
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return points;
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}
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// export as a Node module, an AMD module or a global browser variable
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if (typeof module !== 'undefined') {
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module.exports = simplify;
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} else if (typeof define === 'function' && define.amd) {
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define(function() {
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return simplify;
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});
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} else {
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window.simplify = simplify;
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}
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})();
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