build: decouple package deps and introduce yarn workspaces (#7415)

* feat: decouple package deps and introduce yarn workspaces

* update root directory

* fix

* fix scripts

* fix lint

* update path in scripts

* remove yarn.lock files from packages

* ignore workspace

* dummy

* dummy

* remove comment check

* revert workflow changes

* ignore ws when installing gh actions

* remove log

* update path

* fix

* fix typo

packages/excalidraw/gatransforms.ts

@@ -0,0 +1,41 @@
+import * as GA from "./ga";
+import { 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)));