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