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https://github.com/Pomax/BezierInfo-2.git
synced 2025-09-28 09:09:00 +02:00
projection, half moulding
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@@ -32,7 +32,7 @@ function getABC(n, S, B, E, t) {
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x: B.x + (B.x - C.x) / s,
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y: B.y + (B.y - C.y) / s,
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};
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return { A: A, B: B, C: C };
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return { A, B, C };
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}
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/**
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@@ -238,6 +238,15 @@ class Bezier {
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return utils.length(this.derivative.bind(this));
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}
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getABC(t, B) {
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let S = this.points[0];
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let E = this.points[this.order];
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let ret = getABC(this.order, S, B || this.get(t), E, t);
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ret.S = S;
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ret.E = E;
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return ret;
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}
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getLUT(steps) {
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this.verify();
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steps = steps || 100;
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@@ -248,8 +257,11 @@ class Bezier {
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// We want a range from 0 to 1 inclusive, so
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// we decrement and then use <= rather than <:
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steps--;
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for (let t = 0; t <= steps; t++) {
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this._lut.push(this.compute(t / steps));
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for (let i = 0, p, t; i < steps; i++) {
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t = i / (steps - 1);
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p = this.compute(t);
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p.t = t;
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this._lut.push(p);
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}
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return this._lut;
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}
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@@ -90,12 +90,14 @@ const utils = {
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compute: function (t, points, _3d) {
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// shortcuts
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if (t === 0) {
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points[0].t = 0;
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return points[0];
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}
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const order = points.length - 1;
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if (t === 1) {
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points[order].t = 1;
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return points[order];
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}
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@@ -104,6 +106,7 @@ const utils = {
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// constant?
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if (order === 0) {
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points[0].t = t;
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return points[0];
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}
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@@ -112,6 +115,7 @@ const utils = {
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const ret = {
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x: mt * p[0].x + t * p[1].x,
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y: mt * p[0].y + t * p[1].y,
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t: t,
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};
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if (_3d) {
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ret.z = mt * p[0].z + t * p[1].z;
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@@ -141,6 +145,7 @@ const utils = {
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const ret = {
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x: a * p[0].x + b * p[1].x + c * p[2].x + d * p[3].x,
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y: a * p[0].y + b * p[1].y + c * p[2].y + d * p[3].y,
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t: t,
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};
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if (_3d) {
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ret.z = a * p[0].z + b * p[1].z + c * p[2].z + d * p[3].z;
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@@ -162,6 +167,7 @@ const utils = {
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}
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dCpts.splice(dCpts.length - 1, 1);
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}
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dCpts[0].t = t;
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return dCpts[0];
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},
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@@ -186,6 +192,7 @@ const utils = {
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x: (f1 * p[0].x + f2 * p[1].x) / d,
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y: (f1 * p[0].y + f2 * p[1].y) / d,
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z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z) / d,
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t: t,
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};
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}
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@@ -200,6 +207,7 @@ const utils = {
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x: (f1 * p[0].x + f2 * p[1].x + f3 * p[2].x) / d,
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y: (f1 * p[0].y + f2 * p[1].y + f3 * p[2].y) / d,
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z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z) / d,
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t: t,
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};
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}
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@@ -217,6 +225,7 @@ const utils = {
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z: !_3d
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? false
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: (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z + f4 * p[3].z) / d,
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t: t,
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};
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}
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},
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