Created
April 2, 2019 14:51
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integration, auc, interpolation fns
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| // get n linear steps between point{x, y} a and b | |
| function interPoints(a, b, n) { | |
| let int = (t) => ({ | |
| x: a.x * (1 - t) + b.x * t, | |
| y: a.y * (1 - t) + b.y * t | |
| }), | |
| step = 1/(n+1), | |
| ret = []; | |
| for (let i=0; i<n; i++) { | |
| ret[i] = int(step*(i+1)) | |
| } | |
| return ret; | |
| } | |
| function interpolate(points, interPoints) { | |
| interPoints = interPoints || 1; | |
| let pts = []; | |
| for (var i = 0; i < points.length-1; i++) { | |
| pts = pts.concat(points[i], this.interPoints(points[i], points[i+1], interPoints)) | |
| } | |
| return pts.concat(points[points.length-1]); | |
| } | |
| function areaIntegration(points) { | |
| let rectArea = 0; | |
| for (var i = 0; i < points.length-1; i++) { | |
| let a = points[i], | |
| b = points[i+1], | |
| mid = this.interPoints(a, b, 1); | |
| rectArea += (b.x - a.x) * mid[0].y; | |
| } | |
| return rectArea; | |
| } |
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