Press n or j to go to the next uncovered block, b, p or k for the previous block.
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| Title: SphereIntersectionElement.ts |
| Originally: IntersectionSS.java (renamed for clarity) |
| A port of the software Geometry Applet by |
| Author: David E. Joyce |
| Department of Mathematics and Computer Science |
| Clark University |
| Worcester, MA 01610-1477 |
| U.S.A. |
| |
| http://aleph0.clarku.edu/~djoyce/home.html |
| djoyce@clarku.edu |
| |
| Date: May, 1997. |
| TypeScript Port: 2026, Nelson Brown, brownnrl@gmail.com |
| https://www.nelsonbrown.net/ |
+----------------------------------------------------------------------*/
import {CircleElement} from "./CircleElement";
import {SphereElement} from "../sphere/SphereElement";
import {PointElement} from "../point/PointElement";
import {PerpendicularPlane} from "../plane/PerpendicularPlane";
export class SphereIntersectionElement extends CircleElement {
/*--------------------------------------------------------------------+
| This circle is the intersection of two spheres S and T. The center |
| of the circle is Center, which is A, lies in the plane AP, and |
| has radius AB. |
+--------------------------------------------------------------------*/
private _S: SphereElement;
private _T: SphereElement;
constructor(S: SphereElement, T: SphereElement) {
super();
this.dimension = 2;
this._S = S;
this._T = T;
this.Center = this.A = new PointElement();
this.B = new PointElement();
this.AP = new PerpendicularPlane({A: this.Center, E: T.Center});
this.Center._AP = this.AP;
}
public update() {
let d2 = this._T.Center.distance2(this._S.Center);
let t2 = this._T.radius2();
let factor = 0.5 + (t2 - this._S.radius2()) / (2.0 * d2);
this.Center.to(this._S.Center).minus(this._T.Center).times(factor).plus(this._T.Center);
let radius = Math.sqrt(t2 - this.Center.distance2(this._T.Center));
this.B.to(this.Center);
this.B.z += radius;
this.AP.update();
}
public translate(dx: number, dy: number) {
this.Center.translate(dx, dy);
this.B.translate(dx, dy);
this.AP.translate(dx, dy);
}
public rotate(pivot: PointElement, ac: number, as: number) {
this.Center.rotate(pivot, ac, as);
this.B.rotate(pivot, ac, as);
this.AP.rotate(pivot, ac, as);
}
}
|