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Signed-off-by: Mark Tolmacs <mark@lazycat.hu>
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Mark Tolmacs 2024-10-02 12:09:01 +02:00
parent b4d8b04d9e
commit 336fa9d002
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88
packages/math/ellipse.test.ts
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@ -6,105 +6,121 @@ import {
ellipseLineIntersectionPoints,
} from "./ellipse";
import { line } from "./line";
import { point } from "./point";
import { pointFrom } 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) => {
const target: Ellipse<GlobalPoint> = 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(point(-0.4, 2.7), target, 0.1)).toBe(true);
expect(ellipseTouchesPoint(point(-0.4, 2.71), target, 0.01)).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(point(2.4, 2.7), target, 0.1)).toBe(true);
expect(ellipseTouchesPoint(point(2.4, 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(point(2, 1.14), target, 0.1)).toBe(true);
expect(ellipseTouchesPoint(point(2, 1.14), 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(point(0, 1.14), target, 0.1)).toBe(true);
expect(ellipseTouchesPoint(point(0, 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(point(0, 2.8), target)).toBe(false);
expect(ellipseTouchesPoint(point(2, 1.2), target)).toBe(false);
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<GlobalPoint> = ellipse(point(0, 0), 2, 1);
[point(0, 1), point(0, -1), point(2, 0), point(-2, 0)].forEach((p) => {
const target: Ellipse<GlobalPoint> = 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(point(-1, 0.8), target)).toBe(true);
expect(ellipseIncludesPoint(point(1, -0.8), 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(point(2, 0), target)).toBe(true);
expect(ellipseIncludesPoint(pointFrom(2, 0), target)).toBe(true);
expect(ellipseIncludesPoint(point(-1, 1), target)).toBe(false);
expect(ellipseIncludesPoint(point(-1.4, 0.8), target)).toBe(false);
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(point(0, 0), 2, 2);
const e = ellipse(pointFrom(0, 0), 2, 2);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(-100, 0), point(-10, 0)),
segment<GlobalPoint>(pointFrom(-100, 0), pointFrom(-10, 0)),
),
).toEqual([]);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(-10, 0), point(10, 0)),
segment<GlobalPoint>(pointFrom(-10, 0), pointFrom(10, 0)),
),
).toEqual([point(-2, 0), point(2, 0)]);
).toEqual([pointFrom(-2, 0), pointFrom(2, 0)]);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(-10, -2), point(10, -2)),
segment<GlobalPoint>(pointFrom(-10, -2), pointFrom(10, -2)),
),
).toEqual([point(0, -2)]);
).toEqual([pointFrom(0, -2)]);
expect(
ellipseSegmentInterceptPoints(
e,
segment<GlobalPoint>(point(0, -1), point(0, 1)),
segment<GlobalPoint>(pointFrom(0, -1), pointFrom(0, 1)),
),
).toEqual([]);
});
});
describe("line and ellipse", () => {
const e = ellipse(point(0, 0), 2, 2);
const e = ellipse(pointFrom(0, 0), 2, 2);
it("detects outside line", () => {
expect(
ellipseLineIntersectionPoints(
e,
line<GlobalPoint>(point(-10, -10), point(10, -10)),
line<GlobalPoint>(pointFrom(-10, -10), pointFrom(10, -10)),
),
).toEqual([]);
});
it("detects line intersecting ellipse", () => {
expect(
ellipseLineIntersectionPoints(e, line<GlobalPoint>(point(0, -1), point(0, 1))),
).toEqual([point(0, 2), point(0, -2)]);
ellipseLineIntersectionPoints(
e,
line<GlobalPoint>(pointFrom(0, -1), pointFrom(0, 1)),
),
).toEqual([pointFrom(0, 2), pointFrom(0, -2)]);
expect(
ellipseLineIntersectionPoints(
e,
line<GlobalPoint>(point(-100, 0), point(-10, 0)),
).map(([x, y]) => point(Math.round(x), Math.round(y))),
).toEqual([point(2, 0), point(-2, 0)]);
line<GlobalPoint>(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<GlobalPoint>(point(-2, -2), point(2, -2))),
).toEqual([point(0, -2)]);
ellipseLineIntersectionPoints(
e,
line<GlobalPoint>(pointFrom(-2, -2), pointFrom(2, -2)),
),
).toEqual([pointFrom(0, -2)]);
});
});