@flatten-js/core

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source linenums"><code>/** * Created by Alex Bol on 3/7/2017. */ "use strict"; import Flatten from "../flatten"; import * as Utils from '../utils/utils'; /** * Inversion is a transformation of the Euclidean plane that maps generalized circles * (where line is considered as a circle with infinite radius) into generalized circles * See also https://en.wikipedia.org/wiki/Inversive_geometry and * http://mathworld.wolfram.com/Inversion.html * Inversion also may be considered as a reflection of the point in the plane with respect * to inversion circle so that R^2 = OP * OP', * where * O - center of inversion circle * R - radius of inversion circle * P - point of plane * P' - inversion of the point P * * @param {Line | Circle} shape - shape to be transformed * @param {Circle} inversion_circle - inversion circle * @returns {Line | Circle} - result of transformation */ export function inverse(shape, inversion_circle) { let dist, shortest_segment; let dx, dy; let s; let v; let r; let d; let pt; if (shape instanceof Flatten.Line) { [dist, shortest_segment] = inversion_circle.pc.distanceTo(shape); if (Utils.EQ_0(dist)) { // Line passing through inversion center, is mapping to itself return shape.clone(); } else { // Line not passing through inversion center is mapping into circle r = inversion_circle.r * inversion_circle.r / (2 * dist); v = new Flatten.Vector(inversion_circle.pc, shortest_segment.end); v = v.multiply(r / dist); return new Flatten.Circle(inversion_circle.pc.translate(v), r); } } else if (shape instanceof Flatten.Circle) { [dist, shortest_segment] = inversion_circle.pc.distanceTo(shape.pc); if (Utils.EQ(dist, shape.r)) { // Circle passing through inversion center mapped into line d = inversion_circle.r * inversion_circle.r / (2 * shape.r); v = new Flatten.Vector(shape.pc, inversion_circle.pc); v = v.normalize(); pt = inversion_circle.pc.translate(v.multiply(d)); return new Flatten.Line(pt, v); } else { // Circle not passing through inversion center - map into another circle */ /* Taken from http://mathworld.wolfram.com */ dx = shape.pc.x - inversion_circle.pc.x; dy = shape.pc.y - inversion_circle.pc.y; s = inversion_circle.r * inversion_circle.r / (dx * dx + dy * dy - shape.r * shape.r); let pc = new Flatten.Point(inversion_circle.pc.x + s * dx, inversion_circle.pc.y + s * dy); return new Flatten.Circle(pc, Math.abs(s) * shape.r); } } }; </code></pre> </article> </section> </div> <footer> Generated by <a href="https://github.com/jsdoc3/jsdoc">JSDoc 3.6.3</a> on Sun May 16 2021 15:05:05 GMT+0300 (Israel Daylight Time) using the Minami theme. </footer> <script>prettyPrint();</script> <script src="scripts/linenumber.js"></script> </body> </html>