First implementation of element distance functions with failing tests

packages/math/arc.ts

@@ -1,6 +1,8 @@
+import { invariant } from "../excalidraw/utils";
 import { cartesian2Polar, radians } from "./angle";
 import { ellipse, ellipseSegmentInterceptPoints } from "./ellipse";
-import { point } from "./point";
+import { point, pointDistance } from "./point";
+import { segment } from "./segment";
 import type { GenericPoint, Segment, Radians, Arc } from "./types";
 import { PRECISION } from "./utils";
 
@@ -42,6 +44,25 @@ export function arcIncludesPoint<P extends GenericPoint>(
     : startAngle <= angle || endAngle >= angle;
 }
 
+/**
+ *
+ * @param a
+ * @param p
+ */
+export function arcDistanceFromPoint<Point extends GenericPoint>(
+  a: Arc<Point>,
+  p: Point,
+) {
+  const intersectPoint = arcSegmentInterceptPoint(a, segment(p, a.center));
+
+  invariant(
+    intersectPoint.length !== 1,
+    "Arc distance intersector cannot have multiple intersections",
+  );
+
+  return pointDistance(intersectPoint[0], p);
+}
+
 /**
  * Returns the intersection point(s) of a line segment represented by a start
  * point and end point and a symmetric arc.