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success/packages/math/ellipse.test.ts

80 lines
2.6 KiB
TypeScript

import {
ellipse,
ellipseSegmentInterceptPoints,
ellipseIncludesPoint,
ellipseTouchesPoint,
} from "./ellipse";
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<GlobalPoint> = 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<GlobalPoint> = 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("line and ellipse", () => {
it("detects outside segment", () => {
const e = ellipse(point(0, 0), 2, 2);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(-100, 0), point(-10, 0)),
),
).toEqual([]);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(-10, 0), point(10, 0)),
),
).toEqual([point(-2, 0), point(2, 0)]);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(-10, -2), point(10, -2)),
),
).toEqual([point(0, -2)]);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(0, -1), point(0, 1)),
),
).toEqual([]);
});
});