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-rw-r--r--experimental/docs/interpolatorFunctions.js84
1 files changed, 84 insertions, 0 deletions
diff --git a/experimental/docs/interpolatorFunctions.js b/experimental/docs/interpolatorFunctions.js
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+function interp(A, B, t) {
+ return A + (B - A) * t;
+}
+
+function interp_cubic_coords(x1, x2, x3, x4, t)
+{
+ var ab = interp(x1, x2, t);
+ var bc = interp(x2, x3, t);
+ var cd = interp(x3, x4, t);
+ var abc = interp(ab, bc, t);
+ var bcd = interp(bc, cd, t);
+ var abcd = interp(abc, bcd, t);
+ return abcd;
+}
+
+// FIXME : only works for path with single cubic
+function path_partial(value, path) {
+ assert(isArray(path));
+ var out = [];
+ for (var cIndex = 0; cIndex < path.length; ++cIndex) {
+ out[cIndex] = {};
+ var curveKey = Object.keys(path[cIndex])[0];
+ var curve = path[cIndex][curveKey];
+ var outArray;
+ switch (curveKey) {
+ case "cubic":
+ var x1 = curve[0], y1 = curve[1], x2 = curve[2], y2 = curve[3];
+ var x3 = curve[4], y3 = curve[5], x4 = curve[6], y4 = curve[7];
+ var t1 = 0, t2 = value;
+ var ax = interp_cubic_coords(x1, x2, x3, x4, t1);
+ var ay = interp_cubic_coords(y1, y2, y3, y4, t1);
+ var ex = interp_cubic_coords(x1, x2, x3, x4, (t1*2+t2)/3);
+ var ey = interp_cubic_coords(y1, y2, y3, y4, (t1*2+t2)/3);
+ var fx = interp_cubic_coords(x1, x2, x3, x4, (t1+t2*2)/3);
+ var fy = interp_cubic_coords(y1, y2, y3, y4, (t1+t2*2)/3);
+ var dx = interp_cubic_coords(x1, x2, x3, x4, t2);
+ var dy = interp_cubic_coords(y1, y2, y3, y4, t2);
+ var mx = ex * 27 - ax * 8 - dx;
+ var my = ey * 27 - ay * 8 - dy;
+ var nx = fx * 27 - ax - dx * 8;
+ var ny = fy * 27 - ay - dy * 8;
+ var bx = (mx * 2 - nx) / 18;
+ var by = (my * 2 - ny) / 18;
+ var cx = (nx * 2 - mx) / 18;
+ var cy = (ny * 2 - my) / 18;
+ outArray = [
+ ax, ay, bx, by, cx, cy, dx, dy
+ ];
+ break;
+ default:
+ assert(0); // unimplemented
+ }
+ out[cIndex][curveKey] = outArray;
+ }
+ return out;
+}
+
+function interp_paths(value, paths) {
+ assert(isArray(paths));
+ assert(paths.length == 2);
+ var curves0 = paths[0];
+ assert(isArray(curves0));
+ var curves1 = paths[1];
+ assert(isArray(curves1));
+ assert(curves0.length == curves1.length);
+ var out = [];
+ for (var cIndex = 0; cIndex < curves0.length; ++cIndex) {
+ out[cIndex] = {};
+ var curve0Key = Object.keys(curves0[cIndex])[0];
+ var curve1Key = Object.keys(curves1[cIndex])[0];
+ assert(curve0Key == curve1Key);
+ var curve0 = curves0[cIndex][curve0Key];
+ var curve1 = curves1[cIndex][curve1Key];
+ assert(isArray(curve0));
+ assert(isArray(curve1));
+ assert(curve0.length == curve1.length);
+ var outArray = [];
+ for (var i = 0; i < curve1.length; ++i) {
+ outArray[i] = curve0[i] + (curve1[i] - curve0[i]) * value;
+ }
+ out[cIndex][curve0Key] = outArray;
+ }
+ return out;
+}