Initial project import

node_modules/three-stdlib/curves/CurveExtras.js

@@ -0,0 +1,215 @@
+import { Curve, Vector3 } from "three";
+class GrannyKnot extends Curve {
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t = 2 * Math.PI * t;
+    const x = -0.22 * Math.cos(t) - 1.28 * Math.sin(t) - 0.44 * Math.cos(3 * t) - 0.78 * Math.sin(3 * t);
+    const y = -0.1 * Math.cos(2 * t) - 0.27 * Math.sin(2 * t) + 0.38 * Math.cos(4 * t) + 0.46 * Math.sin(4 * t);
+    const z = 0.7 * Math.cos(3 * t) - 0.4 * Math.sin(3 * t);
+    return point.set(x, y, z).multiplyScalar(20);
+  }
+}
+class HeartCurve extends Curve {
+  constructor(scale = 5) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t *= 2 * Math.PI;
+    const x = 16 * Math.pow(Math.sin(t), 3);
+    const y = 13 * Math.cos(t) - 5 * Math.cos(2 * t) - 2 * Math.cos(3 * t) - Math.cos(4 * t);
+    const z = 0;
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class VivianiCurve extends Curve {
+  constructor(scale = 70) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t = t * 4 * Math.PI;
+    const a = this.scale / 2;
+    const x = a * (1 + Math.cos(t));
+    const y = a * Math.sin(t);
+    const z = 2 * a * Math.sin(t / 2);
+    return point.set(x, y, z);
+  }
+}
+class KnotCurve extends Curve {
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t *= 2 * Math.PI;
+    const R = 10;
+    const s = 50;
+    const x = s * Math.sin(t);
+    const y = Math.cos(t) * (R + s * Math.cos(t));
+    const z = Math.sin(t) * (R + s * Math.cos(t));
+    return point.set(x, y, z);
+  }
+}
+class HelixCurve extends Curve {
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    const a = 30;
+    const b = 150;
+    const t2 = 2 * Math.PI * t * b / 30;
+    const x = Math.cos(t2) * a;
+    const y = Math.sin(t2) * a;
+    const z = b * t;
+    return point.set(x, y, z);
+  }
+}
+class TrefoilKnot extends Curve {
+  constructor(scale = 10) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t *= Math.PI * 2;
+    const x = (2 + Math.cos(3 * t)) * Math.cos(2 * t);
+    const y = (2 + Math.cos(3 * t)) * Math.sin(2 * t);
+    const z = Math.sin(3 * t);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class TorusKnot extends Curve {
+  constructor(scale = 10) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    const p = 3;
+    const q = 4;
+    t *= Math.PI * 2;
+    const x = (2 + Math.cos(q * t)) * Math.cos(p * t);
+    const y = (2 + Math.cos(q * t)) * Math.sin(p * t);
+    const z = Math.sin(q * t);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class CinquefoilKnot extends Curve {
+  constructor(scale = 10) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    const p = 2;
+    const q = 5;
+    t *= Math.PI * 2;
+    const x = (2 + Math.cos(q * t)) * Math.cos(p * t);
+    const y = (2 + Math.cos(q * t)) * Math.sin(p * t);
+    const z = Math.sin(q * t);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class TrefoilPolynomialKnot extends Curve {
+  constructor(scale = 10) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t = t * 4 - 2;
+    const x = Math.pow(t, 3) - 3 * t;
+    const y = Math.pow(t, 4) - 4 * t * t;
+    const z = 1 / 5 * Math.pow(t, 5) - 2 * t;
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+function scaleTo(x, y, t) {
+  const r = y - x;
+  return t * r + x;
+}
+class FigureEightPolynomialKnot extends Curve {
+  constructor(scale = 1) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t = scaleTo(-4, 4, t);
+    const x = 2 / 5 * t * (t * t - 7) * (t * t - 10);
+    const y = Math.pow(t, 4) - 13 * t * t;
+    const z = 1 / 10 * t * (t * t - 4) * (t * t - 9) * (t * t - 12);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class DecoratedTorusKnot4a extends Curve {
+  constructor(scale = 40) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    t *= Math.PI * 2;
+    const x = Math.cos(2 * t) * (1 + 0.6 * (Math.cos(5 * t) + 0.75 * Math.cos(10 * t)));
+    const y = Math.sin(2 * t) * (1 + 0.6 * (Math.cos(5 * t) + 0.75 * Math.cos(10 * t)));
+    const z = 0.35 * Math.sin(5 * t);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class DecoratedTorusKnot4b extends Curve {
+  constructor(scale = 40) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    const fi = t * Math.PI * 2;
+    const x = Math.cos(2 * fi) * (1 + 0.45 * Math.cos(3 * fi) + 0.4 * Math.cos(9 * fi));
+    const y = Math.sin(2 * fi) * (1 + 0.45 * Math.cos(3 * fi) + 0.4 * Math.cos(9 * fi));
+    const z = 0.2 * Math.sin(9 * fi);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class DecoratedTorusKnot5a extends Curve {
+  constructor(scale = 40) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    const fi = t * Math.PI * 2;
+    const x = Math.cos(3 * fi) * (1 + 0.3 * Math.cos(5 * fi) + 0.5 * Math.cos(10 * fi));
+    const y = Math.sin(3 * fi) * (1 + 0.3 * Math.cos(5 * fi) + 0.5 * Math.cos(10 * fi));
+    const z = 0.2 * Math.sin(20 * fi);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+class DecoratedTorusKnot5c extends Curve {
+  constructor(scale = 40) {
+    super();
+    this.scale = scale;
+  }
+  getPoint(t, optionalTarget = new Vector3()) {
+    const point = optionalTarget;
+    const fi = t * Math.PI * 2;
+    const x = Math.cos(4 * fi) * (1 + 0.5 * (Math.cos(5 * fi) + 0.4 * Math.cos(20 * fi)));
+    const y = Math.sin(4 * fi) * (1 + 0.5 * (Math.cos(5 * fi) + 0.4 * Math.cos(20 * fi)));
+    const z = 0.35 * Math.sin(15 * fi);
+    return point.set(x, y, z).multiplyScalar(this.scale);
+  }
+}
+export {
+  CinquefoilKnot,
+  DecoratedTorusKnot4a,
+  DecoratedTorusKnot4b,
+  DecoratedTorusKnot5a,
+  DecoratedTorusKnot5c,
+  FigureEightPolynomialKnot,
+  GrannyKnot,
+  HeartCurve,
+  HelixCurve,
+  KnotCurve,
+  TorusKnot,
+  TrefoilKnot,
+  TrefoilPolynomialKnot,
+  VivianiCurve
+};
+//# sourceMappingURL=CurveExtras.js.map