添加关照、全局等高线、修改图层问题

static/sdk/three/jsm/curves/CurveExtras.js

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+import {
+	Curve,
+	Vector3
+} from 'three';
+
+/**
+ * A bunch of parametric curves
+ *
+ * Formulas collected from various sources
+ * http://mathworld.wolfram.com/HeartCurve.html
+ * http://en.wikipedia.org/wiki/Viviani%27s_curve
+ * http://www.mi.sanu.ac.rs/vismath/taylorapril2011/Taylor.pdf
+ * https://prideout.net/blog/old/blog/index.html@p=44.html
+ */
+
+// GrannyKnot
+
+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 );
+
+	}
+
+}
+
+// HeartCurve
+
+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 );
+
+	}
+
+}
+
+// Viviani's Curve
+
+class VivianiCurve extends Curve {
+
+	constructor( scale = 70 ) {
+
+		super();
+
+		this.scale = scale;
+
+	}
+
+	getPoint( t, optionalTarget = new Vector3() ) {
+
+		const point = optionalTarget;
+
+		t = t * 4 * Math.PI; // normalized to 0..1
+		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 );
+
+	}
+
+}
+
+// KnotCurve
+
+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 );
+
+	}
+
+}
+
+
+// HelixCurve
+
+class HelixCurve extends Curve {
+
+	getPoint( t, optionalTarget = new Vector3() ) {
+
+		const point = optionalTarget;
+
+		const a = 30; // radius
+		const b = 150; // height
+
+		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 );
+
+	}
+
+}
+
+// TrefoilKnot
+
+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 );
+
+	}
+
+}
+
+// TorusKnot
+
+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 );
+
+	}
+
+}
+
+// CinquefoilKnot
+
+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 );
+
+	}
+
+}
+
+
+// TrefoilPolynomialKnot
+
+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;
+
+}
+
+// FigureEightPolynomialKnot
+
+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 );
+
+	}
+
+}
+
+// DecoratedTorusKnot4a
+
+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 );
+
+	}
+
+}
+
+// DecoratedTorusKnot4b
+
+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 );
+
+	}
+
+}
+
+
+// DecoratedTorusKnot5a
+
+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 );
+
+	}
+
+}
+
+// DecoratedTorusKnot5c
+
+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 {
+	GrannyKnot,
+	HeartCurve,
+	VivianiCurve,
+	KnotCurve,
+	HelixCurve,
+	TrefoilKnot,
+	TorusKnot,
+	CinquefoilKnot,
+	TrefoilPolynomialKnot,
+	FigureEightPolynomialKnot,
+	DecoratedTorusKnot4a,
+	DecoratedTorusKnot4b,
+	DecoratedTorusKnot5a,
+	DecoratedTorusKnot5c
+};