/* (c) 2017, Vladimir Agafonkin Simplify.js, a high-performance JS polyline simplification library mourner.github.io/simplify-js */ // to suit your point format, run search/replace for '.x' and '.y'; // for 3D version, see 3d branch (configurability would draw significant performance overhead) // square distance between 2 points function getSqDist(p1, p2) { var dx = p1.x - p2.x, dy = p1.y - p2.y; return dx * dx + dy * dy; } // square distance from a point to a segment function getSqSegDist(p, p1, p2) { var x = p1.x, y = p1.y, dx = p2.x - x, dy = p2.y - y; if (dx !== 0 || dy !== 0) { var t = ((p.x - x) * dx + (p.y - y) * dy) / (dx * dx + dy * dy); if (t > 1) { x = p2.x; y = p2.y; } else if (t > 0) { x += dx * t; y += dy * t; } } dx = p.x - x; dy = p.y - y; return dx * dx + dy * dy; } // rest of the code doesn't care about point format // basic distance-based simplification function simplifyRadialDist(points, sqTolerance) { var prevPoint = points[0], newPoints = [prevPoint], point; for (var i = 1, len = points.length; i < len; i++) { point = points[i]; if (getSqDist(point, prevPoint) > sqTolerance) { newPoints.push(point); prevPoint = point; } } if (prevPoint !== point) newPoints.push(point); return newPoints; } function simplifyDPStep(points, first, last, sqTolerance, simplified) { var maxSqDist = sqTolerance, index; for (var i = first + 1; i < last; i++) { var sqDist = getSqSegDist(points[i], points[first], points[last]); if (sqDist > maxSqDist) { index = i; maxSqDist = sqDist; } } if (maxSqDist > sqTolerance) { if (index - first > 1) simplifyDPStep(points, first, index, sqTolerance, simplified); simplified.push(points[index]); if (last - index > 1) simplifyDPStep(points, index, last, sqTolerance, simplified); } } // simplification using Ramer-Douglas-Peucker algorithm function simplifyDouglasPeucker(points, sqTolerance) { var last = points.length - 1; var simplified = [points[0]]; simplifyDPStep(points, 0, last, sqTolerance, simplified); simplified.push(points[last]); return simplified; } // both algorithms combined for awesome performance export function simplify(points, tolerance, highestQuality) { if (points.length <= 2) return points; var sqTolerance = tolerance !== undefined ? tolerance * tolerance : 1; points = highestQuality ? points : simplifyRadialDist(points, sqTolerance); points = simplifyDouglasPeucker(points, sqTolerance); return points; }