silphius/app/util/math.test.js

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import {expect, test} from 'vitest';
import * as MathUtil from './math.js';
test('transforms vertices', async () => {
const expectCloseTo = (l, r) => {
expect(l.length)
.to.equal(r.length);
for (let i = 0; i < l.length; ++i) {
expect(l[i].x)
.to.be.closeTo(r[i].x, 0.0001);
expect(l[i].y)
.to.be.closeTo(r[i].y, 0.0001);
}
}
const vertices = [
{x: -1, y: -1},
{x: 1, y: -1},
{x: 1, y: 1},
{x: -1, y: 1},
];
expect(MathUtil.transform(vertices, {}))
.to.deep.equal(vertices);
expectCloseTo(
MathUtil.transform(vertices, {scale: 2}),
[
{x: -2, y: -2},
{x: 2, y: -2},
{x: 2, y: 2},
{x: -2, y: 2},
],
);
expectCloseTo(
MathUtil.transform(vertices, {rotation: MathUtil.QUARTER_PI}),
[
{x: 0, y: -Math.sqrt(2)},
{x: Math.sqrt(2), y: 0},
{x: 0, y: Math.sqrt(2)},
{x: -Math.sqrt(2), y: 0},
],
);
expectCloseTo(
MathUtil.transform(vertices, {rotation: MathUtil.QUARTER_PI, scale: 2}),
[
{x: 0, y: -Math.sqrt(2) * 2},
{x: Math.sqrt(2) * 2, y: 0},
{x: 0, y: Math.sqrt(2) * 2},
{x: -Math.sqrt(2) * 2, y: 0},
],
);
expectCloseTo(
MathUtil.transform(vertices, {translation: {x: 10, y: 10}}),
[
{x: 9, y: 9},
{x: 11, y: 9},
{x: 11, y: 11},
{x: 9, y: 11},
],
);
expectCloseTo(
MathUtil.transform(vertices, {rotation: MathUtil.QUARTER_PI, translation: {x: 10, y: 10}}),
[
{x: 10, y: 10 - Math.sqrt(2)},
{x: 10 + Math.sqrt(2), y: 10},
{x: 10, y: 10 + Math.sqrt(2)},
{x: 10 - Math.sqrt(2), y: 10},
],
);
expectCloseTo(
MathUtil.transform(vertices, {scale: 2, translation: {x: 10, y: 10}}),
[
{x: 8, y: 8},
{x: 12, y: 8},
{x: 12, y: 12},
{x: 8, y: 12},
],
);
expectCloseTo(
MathUtil.transform(vertices, {rotation: MathUtil.QUARTER_PI, scale: 2, translation: {x: 10, y: 10}}),
[
{x: 10, y: 10 - Math.sqrt(2) * 2},
{x: 10 + Math.sqrt(2) * 2, y: 10},
{x: 10, y: 10 + Math.sqrt(2) * 2},
{x: 10 - Math.sqrt(2) * 2, y: 10},
],
);
});