You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
There are two opportunities for improving the performance of the centroid calculation, saving one multiply and one addition per polygon vertex.
First, when summing the vertex coordinates, we scale the sum of coordinates of the prior and the current vertex. But since we're just looping over all vertices, that just means that we'll be adding in a coordinate twice (once as the prior, and once as the current). Thus, we can just add each coordinate once, and scale by two outside the loop, saving an addition for every vertex.
Second, when accumulating the area, we scale f by three before adding. Instead of multiplying N times inside the loop, we can just scale the sum of fs by three after the loop is done, saving a multiply for every vertex.
Here's my proposed iteration:
function getCentroidCell(polygon) {
var doubleArea = 0;
var xSum = 0;
var ySum = 0;
var points = polygon[0];
for (var i = 0, len = points.length, j = len - 1; i < len; j = i++) {
var a = points[j]; // Swapped indices. Might as well traverse in native order.
var b = points[i];
var f = a[0] * b[1] - a[1] * b[0];
xSum += f * a[0];
ySum += f * a[1];
doubleArea += f;
}
if (doubleArea === 0) return new Cell(points[0][0], points[0][1], 0, polygon);
var sumScale = 2 / (3 * doubleArea);
return new Cell(xSum * sumScale, ySum * sumScale, 0, polygon);
}
The text was updated successfully, but these errors were encountered:
There are two opportunities for improving the performance of the centroid calculation, saving one multiply and one addition per polygon vertex.
First, when summing the vertex coordinates, we scale the sum of coordinates of the prior and the current vertex. But since we're just looping over all vertices, that just means that we'll be adding in a coordinate twice (once as the prior, and once as the current). Thus, we can just add each coordinate once, and scale by two outside the loop, saving an addition for every vertex.
Second, when accumulating the area, we scale
f
by three before adding. Instead of multiplying N times inside the loop, we can just scale the sum off
s by three after the loop is done, saving a multiply for every vertex.Here's my proposed iteration:
The text was updated successfully, but these errors were encountered: