1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
|
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<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(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<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(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<GlobalPoint>(pointFrom(-100, 0), pointFrom(-10, 0)),
),
).toEqual([]);
expect(
ellipseSegmentInterceptPoints(
e,
lineSegment<GlobalPoint>(pointFrom(-10, 0), pointFrom(10, 0)),
),
).toEqual([pointFrom(-2, 0), pointFrom(2, 0)]);
expect(
ellipseSegmentInterceptPoints(
e,
lineSegment<GlobalPoint>(pointFrom(-10, -2), pointFrom(10, -2)),
),
).toEqual([pointFrom(0, -2)]);
expect(
ellipseSegmentInterceptPoints(
e,
lineSegment<GlobalPoint>(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<GlobalPoint>(pointFrom(-10, -10), pointFrom(10, -10)),
),
).toEqual([]);
});
it("detects line intersecting ellipse", () => {
expect(
ellipseLineIntersectionPoints(
e,
line<GlobalPoint>(pointFrom(0, -1), pointFrom(0, 1)),
),
).toEqual([pointFrom(0, 2), pointFrom(0, -2)]);
expect(
ellipseLineIntersectionPoints(
e,
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>(pointFrom(-2, -2), pointFrom(2, -2)),
),
).toEqual([pointFrom(0, -2)]);
});
});
|
