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curvature

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Pomax
2020-08-27 14:59:08 -07:00
parent 0730e3dda4
commit 17d71c7d70
22 changed files with 265 additions and 249 deletions
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30
docs/js/custom-element/lib/bezierjs/bezier.js
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@@ -331,29 +331,11 @@ class Bezier {
}
derivative(t) {
const mt = 1 - t;
let a,
b,
c = 0,
p = this.dpoints[0];
if (this.order === 2) {
p = [p[0], p[1], ZERO];
a = mt;
b = t;
}
if (this.order === 3) {
a = mt * mt;
b = mt * t * 2;
c = t * t;
}
const ret = {
x: a * p[0].x + b * p[1].x + c * p[2].x,
y: a * p[0].y + b * p[1].y + c * p[2].y,
};
if (this._3d) {
ret.z = a * p[0].z + b * p[1].z + c * p[2].z;
}
return ret;
return utils.compute(t, this.dpoints[0]);
}
dderivative(t) {
return utils.compute(t, this.dpoints[1]);
}
align() {
@@ -362,7 +344,7 @@ class Bezier {
}
curvature(t) {
return utils.curvature(t, this.points, this._3d);
return utils.curvature(t, this.dpoints[0], this.dpoints[1], this._3d);
}
inflections() {

10
docs/js/custom-element/lib/bezierjs/utils.js
View File

@@ -647,11 +647,7 @@ const utils = {
return [];
},
curvature: function (t, points, _3d, kOnly) {
const dpoints = utils.derive(points);
const d1 = dpoints[0];
const d2 = dpoints[1];
curvature: function (t, d1, d2, _3d, kOnly) {
let num,
dnm,
adk,
@@ -705,8 +701,8 @@ const utils = {
if (!kOnly) {
// compute k'(t) based on the interval before, and after it,
// to at least try to not introduce forward/backward pass bias.
const pk = utils.curvature(t - 0.001, points, _3d, true).k;
const nk = utils.curvature(t + 0.001, points, _3d, true).k;
const pk = utils.curvature(t - 0.001, d1, d2, _3d, true).k;
const nk = utils.curvature(t + 0.001, d1, d2, _3d, true).k;
dk = (nk - k + (k - pk)) / 2;
adk = (abs(nk - k) + abs(k - pk)) / 2;
}