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chore: Unify math types, utils and functions (#8389)

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Co-authored-by: dwelle <5153846+dwelle@users.noreply.github.com>
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Márk Tolmács 2024-09-03 00:23:38 +02:00 • committed by GitHub
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commit f4dd23fc31
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packages/math/ga/gatransforms.ts Normal file
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import * as GA from "./ga";
import type { Line, Direction, Point, Transform } from "./ga";
import * as GADirection from "./gadirections";
/**
* TODO: docs
*/
export const rotation = (pivot: Point, angle: number): Transform =>
GA.add(GA.mul(pivot, Math.sin(angle / 2)), Math.cos(angle / 2));
export const translation = (direction: Direction): Transform => [
1,
0,
0,
0,
-(0.5 * direction[5]),
0.5 * direction[4],
0,
0,
];
export const translationOrthogonal = (
direction: Direction,
distance: number,
): Transform => {
const scale = 0.5 * distance;
return [1, 0, 0, 0, scale * direction[4], scale * direction[5], 0, 0];
};
export const translationAlong = (line: Line, distance: number): Transform =>
GA.add(GA.mul(GADirection.orthogonalToLine(line), 0.5 * distance), 1);
export const compose = (motor1: Transform, motor2: Transform): Transform =>
GA.mul(motor2, motor1);
export const apply = (
motor: Transform,
nvector: Point | Direction | Line,
): Point | Direction | Line =>
GA.normalized(GA.mul(GA.mul(motor, nvector), GA.reverse(motor)));