import { ellipse, ellipseSegmentInterceptPoints, ellipseIncludesPoint, ellipseTouchesPoint, ellipseLineIntersectionPoints, } from "./ellipse"; import { line } from "./line"; import { pointFrom } from "./point"; import { lineSegment } from "./segment"; import type { Ellipse, GlobalPoint } from "./types"; describe("point and ellipse", () => { it("point on ellipse", () => { const target: Ellipse = ellipse(pointFrom(1, 2), 2, 1); [ pointFrom(1, 3), pointFrom(1, 1), pointFrom(3, 2), pointFrom(-1, 2), ].forEach((p) => { expect(ellipseTouchesPoint(p, target)).toBe(true); }); expect(ellipseTouchesPoint(pointFrom(-0.4, 2.7), target, 0.1)).toBe(true); expect(ellipseTouchesPoint(pointFrom(-0.4, 2.71), target, 0.01)).toBe(true); expect(ellipseTouchesPoint(pointFrom(2.4, 2.7), target, 0.1)).toBe(true); expect(ellipseTouchesPoint(pointFrom(2.4, 2.71), target, 0.01)).toBe(true); expect(ellipseTouchesPoint(pointFrom(2, 1.14), target, 0.1)).toBe(true); expect(ellipseTouchesPoint(pointFrom(2, 1.14), target, 0.01)).toBe(true); expect(ellipseTouchesPoint(pointFrom(0, 1.14), target, 0.1)).toBe(true); expect(ellipseTouchesPoint(pointFrom(0, 1.14), target, 0.01)).toBe(true); expect(ellipseTouchesPoint(pointFrom(0, 2.8), target)).toBe(false); expect(ellipseTouchesPoint(pointFrom(2, 1.2), target)).toBe(false); }); it("point in ellipse", () => { const target: Ellipse = ellipse(pointFrom(0, 0), 2, 1); [ pointFrom(0, 1), pointFrom(0, -1), pointFrom(2, 0), pointFrom(-2, 0), ].forEach((p) => { expect(ellipseIncludesPoint(p, target)).toBe(true); }); expect(ellipseIncludesPoint(pointFrom(-1, 0.8), target)).toBe(true); expect(ellipseIncludesPoint(pointFrom(1, -0.8), target)).toBe(true); // Point on outline expect(ellipseIncludesPoint(pointFrom(2, 0), target)).toBe(true); expect(ellipseIncludesPoint(pointFrom(-1, 1), target)).toBe(false); expect(ellipseIncludesPoint(pointFrom(-1.4, 0.8), target)).toBe(false); }); }); describe("segment and ellipse", () => { it("detects outside segment", () => { const e = ellipse(pointFrom(0, 0), 2, 2); expect( ellipseSegmentInterceptPoints( e, lineSegment(pointFrom(-100, 0), pointFrom(-10, 0)), ), ).toEqual([]); expect( ellipseSegmentInterceptPoints( e, lineSegment(pointFrom(-10, 0), pointFrom(10, 0)), ), ).toEqual([pointFrom(-2, 0), pointFrom(2, 0)]); expect( ellipseSegmentInterceptPoints( e, lineSegment(pointFrom(-10, -2), pointFrom(10, -2)), ), ).toEqual([pointFrom(0, -2)]); expect( ellipseSegmentInterceptPoints( e, lineSegment(pointFrom(0, -1), pointFrom(0, 1)), ), ).toEqual([]); }); }); describe("line and ellipse", () => { const e = ellipse(pointFrom(0, 0), 2, 2); it("detects outside line", () => { expect( ellipseLineIntersectionPoints( e, line(pointFrom(-10, -10), pointFrom(10, -10)), ), ).toEqual([]); }); it("detects line intersecting ellipse", () => { expect( ellipseLineIntersectionPoints( e, line(pointFrom(0, -1), pointFrom(0, 1)), ), ).toEqual([pointFrom(0, 2), pointFrom(0, -2)]); expect( ellipseLineIntersectionPoints( e, line(pointFrom(-100, 0), pointFrom(-10, 0)), ).map(([x, y]) => pointFrom(Math.round(x), Math.round(y))), ).toEqual([pointFrom(2, 0), pointFrom(-2, 0)]); }); it("detects line touching ellipse", () => { expect( ellipseLineIntersectionPoints( e, line(pointFrom(-2, -2), pointFrom(2, -2)), ), ).toEqual([pointFrom(0, -2)]); }); });