feat: Remove GA code from binding (#9042)

Co-authored-by: dwelle <5153846+dwelle@users.noreply.github.com>

packages/excalidraw/element/collision.ts

@@ -1,7 +1,10 @@
 import type {
   ElementsMap,
+  ExcalidrawDiamondElement,
   ExcalidrawElement,
+  ExcalidrawEllipseElement,
   ExcalidrawRectangleElement,
+  ExcalidrawRectanguloidElement,
 } from "./types";
 import { getElementBounds } from "./bounds";
 import type { FrameNameBounds } from "../types";
@@ -16,8 +19,28 @@ import {
   isTextElement,
 } from "./typeChecks";
 import { getBoundTextShape, isPathALoop } from "../shapes";
-import type { GlobalPoint, LocalPoint, Polygon } from "../../math";
-import { isPointWithinBounds, pointFrom } from "../../math";
+import type {
+  GlobalPoint,
+  LineSegment,
+  LocalPoint,
+  Polygon,
+  Radians,
+} from "../../math";
+import {
+  curveIntersectLineSegment,
+  isPointWithinBounds,
+  line,
+  lineSegment,
+  lineSegmentIntersectionPoints,
+  pointFrom,
+  pointRotateRads,
+  pointsEqual,
+} from "../../math";
+import { ellipse, ellipseLineIntersectionPoints } from "../../math/ellipse";
+import {
+  deconstructDiamondElement,
+  deconstructRectanguloidElement,
+} from "./utils";
 
 export const shouldTestInside = (element: ExcalidrawElement) => {
   if (element.type === "arrow") {
@@ -121,3 +144,166 @@ export const hitElementBoundText = <Point extends GlobalPoint | LocalPoint>(
 ): boolean => {
   return !!textShape && isPointInShape(pointFrom(x, y), textShape);
 };
+
+/**
+ * Intersect a line with an element for binding test
+ *
+ * @param element
+ * @param line
+ * @param offset
+ * @returns
+ */
+export const intersectElementWithLineSegment = (
+  element: ExcalidrawElement,
+  line: LineSegment<GlobalPoint>,
+  offset: number = 0,
+): GlobalPoint[] => {
+  switch (element.type) {
+    case "rectangle":
+    case "image":
+    case "text":
+    case "iframe":
+    case "embeddable":
+    case "frame":
+    case "magicframe":
+      return intersectRectanguloidWithLineSegment(element, line, offset);
+    case "diamond":
+      return intersectDiamondWithLineSegment(element, line, offset);
+    case "ellipse":
+      return intersectEllipseWithLineSegment(element, line, offset);
+    default:
+      throw new Error(`Unimplemented element type '${element.type}'`);
+  }
+};
+
+const intersectRectanguloidWithLineSegment = (
+  element: ExcalidrawRectanguloidElement,
+  l: LineSegment<GlobalPoint>,
+  offset: number = 0,
+): GlobalPoint[] => {
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+  // To emulate a rotated rectangle we rotate the point in the inverse angle
+  // instead. It's all the same distance-wise.
+  const rotatedA = pointRotateRads<GlobalPoint>(
+    l[0],
+    center,
+    -element.angle as Radians,
+  );
+  const rotatedB = pointRotateRads<GlobalPoint>(
+    l[1],
+    center,
+    -element.angle as Radians,
+  );
+
+  // Get the element's building components we can test against
+  const [sides, corners] = deconstructRectanguloidElement(element, offset);
+
+  return (
+    [
+      // Test intersection against the sides, keep only the valid
+      // intersection points and rotate them back to scene space
+      ...sides
+        .map((s) =>
+          lineSegmentIntersectionPoints(
+            lineSegment<GlobalPoint>(rotatedA, rotatedB),
+            s,
+          ),
+        )
+        .filter((x) => x != null)
+        .map((j) => pointRotateRads<GlobalPoint>(j!, center, element.angle)),
+      // Test intersection against the corners which are cubic bezier curves,
+      // keep only the valid intersection points and rotate them back to scene
+      // space
+      ...corners
+        .flatMap((t) =>
+          curveIntersectLineSegment(t, lineSegment(rotatedA, rotatedB)),
+        )
+        .filter((i) => i != null)
+        .map((j) => pointRotateRads(j, center, element.angle)),
+    ]
+      // Remove duplicates
+      .filter(
+        (p, idx, points) => points.findIndex((d) => pointsEqual(p, d)) === idx,
+      )
+  );
+};
+
+/**
+ *
+ * @param element
+ * @param a
+ * @param b
+ * @returns
+ */
+const intersectDiamondWithLineSegment = (
+  element: ExcalidrawDiamondElement,
+  l: LineSegment<GlobalPoint>,
+  offset: number = 0,
+): GlobalPoint[] => {
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+
+  // Rotate the point to the inverse direction to simulate the rotated diamond
+  // points. It's all the same distance-wise.
+  const rotatedA = pointRotateRads(l[0], center, -element.angle as Radians);
+  const rotatedB = pointRotateRads(l[1], center, -element.angle as Radians);
+
+  const [sides, curves] = deconstructDiamondElement(element, offset);
+
+  return (
+    [
+      ...sides
+        .map((s) =>
+          lineSegmentIntersectionPoints(
+            lineSegment<GlobalPoint>(rotatedA, rotatedB),
+            s,
+          ),
+        )
+        .filter((p): p is GlobalPoint => p != null)
+        // Rotate back intersection points
+        .map((p) => pointRotateRads<GlobalPoint>(p!, center, element.angle)),
+      ...curves
+        .flatMap((p) =>
+          curveIntersectLineSegment(p, lineSegment(rotatedA, rotatedB)),
+        )
+        .filter((p) => p != null)
+        // Rotate back intersection points
+        .map((p) => pointRotateRads(p, center, element.angle)),
+    ]
+      // Remove duplicates
+      .filter(
+        (p, idx, points) => points.findIndex((d) => pointsEqual(p, d)) === idx,
+      )
+  );
+};
+
+/**
+ *
+ * @param element
+ * @param a
+ * @param b
+ * @returns
+ */
+const intersectEllipseWithLineSegment = (
+  element: ExcalidrawEllipseElement,
+  l: LineSegment<GlobalPoint>,
+  offset: number = 0,
+): GlobalPoint[] => {
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+
+  const rotatedA = pointRotateRads(l[0], center, -element.angle as Radians);
+  const rotatedB = pointRotateRads(l[1], center, -element.angle as Radians);
+
+  return ellipseLineIntersectionPoints(
+    ellipse(center, element.width / 2 + offset, element.height / 2 + offset),
+    line(rotatedA, rotatedB),
+  ).map((p) => pointRotateRads(p, center, element.angle));
+};

packages/excalidraw/element/distance.ts

@@ -0,0 +1,123 @@
+import type { GlobalPoint, Radians } from "../../math";
+import {
+  curvePointDistance,
+  distanceToLineSegment,
+  pointFrom,
+  pointRotateRads,
+} from "../../math";
+import { ellipse, ellipseDistanceFromPoint } from "../../math/ellipse";
+import type {
+  ExcalidrawBindableElement,
+  ExcalidrawDiamondElement,
+  ExcalidrawEllipseElement,
+  ExcalidrawRectanguloidElement,
+} from "./types";
+import {
+  deconstructDiamondElement,
+  deconstructRectanguloidElement,
+} from "./utils";
+
+export const distanceToBindableElement = (
+  element: ExcalidrawBindableElement,
+  p: GlobalPoint,
+): number => {
+  switch (element.type) {
+    case "rectangle":
+    case "image":
+    case "text":
+    case "iframe":
+    case "embeddable":
+    case "frame":
+    case "magicframe":
+      return distanceToRectanguloidElement(element, p);
+    case "diamond":
+      return distanceToDiamondElement(element, p);
+    case "ellipse":
+      return distanceToEllipseElement(element, p);
+  }
+};
+
+/**
+ * Returns the distance of a point and the provided rectangular-shaped element,
+ * accounting for roundness and rotation
+ *
+ * @param element The rectanguloid element
+ * @param p The point to consider
+ * @returns The eucledian distance to the outline of the rectanguloid element
+ */
+const distanceToRectanguloidElement = (
+  element: ExcalidrawRectanguloidElement,
+  p: GlobalPoint,
+) => {
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+  // To emulate a rotated rectangle we rotate the point in the inverse angle
+  // instead. It's all the same distance-wise.
+  const rotatedPoint = pointRotateRads(p, center, -element.angle as Radians);
+
+  // Get the element's building components we can test against
+  const [sides, corners] = deconstructRectanguloidElement(element);
+
+  return Math.min(
+    ...sides.map((s) => distanceToLineSegment(rotatedPoint, s)),
+    ...corners
+      .map((a) => curvePointDistance(a, rotatedPoint))
+      .filter((d): d is number => d !== null),
+  );
+};
+
+/**
+ * Returns the distance of a point and the provided diamond element, accounting
+ * for roundness and rotation
+ *
+ * @param element The diamond element
+ * @param p The point to consider
+ * @returns The eucledian distance to the outline of the diamond
+ */
+const distanceToDiamondElement = (
+  element: ExcalidrawDiamondElement,
+  p: GlobalPoint,
+): number => {
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+
+  // Rotate the point to the inverse direction to simulate the rotated diamond
+  // points. It's all the same distance-wise.
+  const rotatedPoint = pointRotateRads(p, center, -element.angle as Radians);
+
+  const [sides, curves] = deconstructDiamondElement(element);
+
+  return Math.min(
+    ...sides.map((s) => distanceToLineSegment(rotatedPoint, s)),
+    ...curves
+      .map((a) => curvePointDistance(a, rotatedPoint))
+      .filter((d): d is number => d !== null),
+  );
+};
+
+/**
+ * Returns the distance of a point and the provided ellipse element, accounting
+ * for roundness and rotation
+ *
+ * @param element The ellipse element
+ * @param p The point to consider
+ * @returns The eucledian distance to the outline of the ellipse
+ */
+const distanceToEllipseElement = (
+  element: ExcalidrawEllipseElement,
+  p: GlobalPoint,
+): number => {
+  const center = pointFrom(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+  return ellipseDistanceFromPoint(
+    // Instead of rotating the ellipse, rotate the point to the inverse angle
+    pointRotateRads(p, center, -element.angle as Radians),
+    ellipse(center, element.width / 2, element.height / 2),
+  );
+};

packages/excalidraw/element/elbowArrow.test.tsx

@@ -18,6 +18,7 @@ import type {
 import { ARROW_TYPE } from "../constants";
 import type { LocalPoint } from "../../math";
 import { pointFrom } from "../../math";
+import "../../utils/test-utils";
 
 const { h } = window;
 

packages/excalidraw/element/elbowArrow.ts

@@ -19,8 +19,6 @@ import { invariant, isAnyTrue, toBrandedType, tupleToCoors } from "../utils";
 import type { AppState } from "../types";
 import {
   bindPointToSnapToElementOutline,
-  distanceToBindableElement,
-  avoidRectangularCorner,
   FIXED_BINDING_DISTANCE,
   getHeadingForElbowArrowSnap,
   getGlobalFixedPointForBindableElement,
@@ -42,7 +40,7 @@ import {
   headingForPoint,
 } from "./heading";
 import { type ElementUpdate } from "./mutateElement";
-import { isBindableElement, isRectanguloidElement } from "./typeChecks";
+import { isBindableElement } from "./typeChecks";
 import {
   type ExcalidrawElbowArrowElement,
   type NonDeletedSceneElementsMap,
@@ -55,6 +53,7 @@ import type {
   FixedPointBinding,
   FixedSegment,
 } from "./types";
+import { distanceToBindableElement } from "./distance";
 
 type GridAddress = [number, number] & { _brand: "gridaddress" };
 
@@ -1177,19 +1176,27 @@ const getElbowArrowData = (
       )
     : [startElement, endElement];
   const startGlobalPoint = getGlobalPoint(
+    {
+      ...arrow,
+      elbowed: true,
+      points: nextPoints,
+    } as ExcalidrawElbowArrowElement,
+    "start",
     arrow.startBinding?.fixedPoint,
     origStartGlobalPoint,
-    origEndGlobalPoint,
-    elementsMap,
     startElement,
     hoveredStartElement,
     options?.isDragging,
   );
   const endGlobalPoint = getGlobalPoint(
+    {
+      ...arrow,
+      elbowed: true,
+      points: nextPoints,
+    } as ExcalidrawElbowArrowElement,
+    "end",
     arrow.endBinding?.fixedPoint,
     origEndGlobalPoint,
-    origStartGlobalPoint,
-    elementsMap,
     endElement,
     hoveredEndElement,
     options?.isDragging,
@@ -2133,21 +2140,20 @@ const neighborIndexToHeading = (idx: number): Heading => {
 };
 
 const getGlobalPoint = (
+  arrow: ExcalidrawElbowArrowElement,
+  startOrEnd: "start" | "end",
   fixedPointRatio: [number, number] | undefined | null,
   initialPoint: GlobalPoint,
-  otherPoint: GlobalPoint,
-  elementsMap: NonDeletedSceneElementsMap | SceneElementsMap,
   boundElement?: ExcalidrawBindableElement | null,
   hoveredElement?: ExcalidrawBindableElement | null,
   isDragging?: boolean,
 ): GlobalPoint => {
   if (isDragging) {
     if (hoveredElement) {
-      const snapPoint = getSnapPoint(
-        initialPoint,
-        otherPoint,
+      const snapPoint = bindPointToSnapToElementOutline(
+        arrow,
         hoveredElement,
-        elementsMap,
+        startOrEnd,
       );
 
       return snapToMid(hoveredElement, snapPoint);
@@ -2164,29 +2170,16 @@ const getGlobalPoint = (
 
     // NOTE: Resize scales the binding position point too, so we need to update it
     return Math.abs(
-      distanceToBindableElement(boundElement, fixedGlobalPoint, elementsMap) -
+      distanceToBindableElement(boundElement, fixedGlobalPoint) -
         FIXED_BINDING_DISTANCE,
     ) > 0.01
-      ? getSnapPoint(initialPoint, otherPoint, boundElement, elementsMap)
+      ? bindPointToSnapToElementOutline(arrow, boundElement, startOrEnd)
       : fixedGlobalPoint;
   }
 
   return initialPoint;
 };
 
-const getSnapPoint = (
-  p: GlobalPoint,
-  otherPoint: GlobalPoint,
-  element: ExcalidrawBindableElement,
-  elementsMap: ElementsMap,
-) =>
-  bindPointToSnapToElementOutline(
-    isRectanguloidElement(element) ? avoidRectangularCorner(element, p) : p,
-    otherPoint,
-    element,
-    elementsMap,
-  );
-
 const getBindPointHeading = (
   p: GlobalPoint,
   otherPoint: GlobalPoint,
@@ -2201,9 +2194,12 @@ const getBindPointHeading = (
     hoveredElement &&
       aabbForElement(
         hoveredElement,
-        Array(4).fill(
-          distanceToBindableElement(hoveredElement, p, elementsMap),
-        ) as [number, number, number, number],
+        Array(4).fill(distanceToBindableElement(hoveredElement, p)) as [
+          number,
+          number,
+          number,
+          number,
+        ],
       ),
     elementsMap,
     origPoint,

packages/excalidraw/element/utils.ts

@@ -0,0 +1,355 @@
+import { getDiamondPoints } from ".";
+import type { Curve, LineSegment } from "../../math";
+import {
+  curve,
+  lineSegment,
+  pointFrom,
+  pointFromVector,
+  rectangle,
+  vectorFromPoint,
+  vectorNormalize,
+  vectorScale,
+  type GlobalPoint,
+} from "../../math";
+import { getCornerRadius } from "../shapes";
+import type {
+  ExcalidrawDiamondElement,
+  ExcalidrawRectanguloidElement,
+} from "./types";
+
+/**
+ * Get the building components of a rectanguloid element in the form of
+ * line segments and curves.
+ *
+ * @param element Target rectanguloid element
+ * @param offset Optional offset to expand the rectanguloid shape
+ * @returns Tuple of line segments (0) and curves (1)
+ */
+export function deconstructRectanguloidElement(
+  element: ExcalidrawRectanguloidElement,
+  offset: number = 0,
+): [LineSegment<GlobalPoint>[], Curve<GlobalPoint>[]] {
+  const roundness = getCornerRadius(
+    Math.min(element.width, element.height),
+    element,
+  );
+
+  if (roundness <= 0) {
+    const r = rectangle(
+      pointFrom(element.x - offset, element.y - offset),
+      pointFrom(
+        element.x + element.width + offset,
+        element.y + element.height + offset,
+      ),
+    );
+
+    const top = lineSegment<GlobalPoint>(
+      pointFrom<GlobalPoint>(r[0][0] + roundness, r[0][1]),
+      pointFrom<GlobalPoint>(r[1][0] - roundness, r[0][1]),
+    );
+    const right = lineSegment<GlobalPoint>(
+      pointFrom<GlobalPoint>(r[1][0], r[0][1] + roundness),
+      pointFrom<GlobalPoint>(r[1][0], r[1][1] - roundness),
+    );
+    const bottom = lineSegment<GlobalPoint>(
+      pointFrom<GlobalPoint>(r[0][0] + roundness, r[1][1]),
+      pointFrom<GlobalPoint>(r[1][0] - roundness, r[1][1]),
+    );
+    const left = lineSegment<GlobalPoint>(
+      pointFrom<GlobalPoint>(r[0][0], r[1][1] - roundness),
+      pointFrom<GlobalPoint>(r[0][0], r[0][1] + roundness),
+    );
+    const sides = [top, right, bottom, left];
+
+    return [sides, []];
+  }
+
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+
+  const r = rectangle(
+    pointFrom(element.x, element.y),
+    pointFrom(element.x + element.width, element.y + element.height),
+  );
+
+  const top = lineSegment<GlobalPoint>(
+    pointFrom<GlobalPoint>(r[0][0] + roundness, r[0][1]),
+    pointFrom<GlobalPoint>(r[1][0] - roundness, r[0][1]),
+  );
+  const right = lineSegment<GlobalPoint>(
+    pointFrom<GlobalPoint>(r[1][0], r[0][1] + roundness),
+    pointFrom<GlobalPoint>(r[1][0], r[1][1] - roundness),
+  );
+  const bottom = lineSegment<GlobalPoint>(
+    pointFrom<GlobalPoint>(r[0][0] + roundness, r[1][1]),
+    pointFrom<GlobalPoint>(r[1][0] - roundness, r[1][1]),
+  );
+  const left = lineSegment<GlobalPoint>(
+    pointFrom<GlobalPoint>(r[0][0], r[1][1] - roundness),
+    pointFrom<GlobalPoint>(r[0][0], r[0][1] + roundness),
+  );
+
+  const offsets = [
+    vectorScale(
+      vectorNormalize(
+        vectorFromPoint(pointFrom(r[0][0] - offset, r[0][1] - offset), center),
+      ),
+      offset,
+    ), // TOP LEFT
+    vectorScale(
+      vectorNormalize(
+        vectorFromPoint(pointFrom(r[1][0] + offset, r[0][1] - offset), center),
+      ),
+      offset,
+    ), //TOP RIGHT
+    vectorScale(
+      vectorNormalize(
+        vectorFromPoint(pointFrom(r[1][0] + offset, r[1][1] + offset), center),
+      ),
+      offset,
+    ), // BOTTOM RIGHT
+    vectorScale(
+      vectorNormalize(
+        vectorFromPoint(pointFrom(r[0][0] - offset, r[1][1] + offset), center),
+      ),
+      offset,
+    ), // BOTTOM LEFT
+  ];
+
+  const corners = [
+    curve(
+      pointFromVector(offsets[0], left[1]),
+      pointFromVector(
+        offsets[0],
+        pointFrom<GlobalPoint>(
+          left[1][0] + (2 / 3) * (r[0][0] - left[1][0]),
+          left[1][1] + (2 / 3) * (r[0][1] - left[1][1]),
+        ),
+      ),
+      pointFromVector(
+        offsets[0],
+        pointFrom<GlobalPoint>(
+          top[0][0] + (2 / 3) * (r[0][0] - top[0][0]),
+          top[0][1] + (2 / 3) * (r[0][1] - top[0][1]),
+        ),
+      ),
+      pointFromVector(offsets[0], top[0]),
+    ), // TOP LEFT
+    curve(
+      pointFromVector(offsets[1], top[1]),
+      pointFromVector(
+        offsets[1],
+        pointFrom<GlobalPoint>(
+          top[1][0] + (2 / 3) * (r[1][0] - top[1][0]),
+          top[1][1] + (2 / 3) * (r[0][1] - top[1][1]),
+        ),
+      ),
+      pointFromVector(
+        offsets[1],
+        pointFrom<GlobalPoint>(
+          right[0][0] + (2 / 3) * (r[1][0] - right[0][0]),
+          right[0][1] + (2 / 3) * (r[0][1] - right[0][1]),
+        ),
+      ),
+      pointFromVector(offsets[1], right[0]),
+    ), // TOP RIGHT
+    curve(
+      pointFromVector(offsets[2], right[1]),
+      pointFromVector(
+        offsets[2],
+        pointFrom<GlobalPoint>(
+          right[1][0] + (2 / 3) * (r[1][0] - right[1][0]),
+          right[1][1] + (2 / 3) * (r[1][1] - right[1][1]),
+        ),
+      ),
+      pointFromVector(
+        offsets[2],
+        pointFrom<GlobalPoint>(
+          bottom[1][0] + (2 / 3) * (r[1][0] - bottom[1][0]),
+          bottom[1][1] + (2 / 3) * (r[1][1] - bottom[1][1]),
+        ),
+      ),
+      pointFromVector(offsets[2], bottom[1]),
+    ), // BOTTOM RIGHT
+    curve(
+      pointFromVector(offsets[3], bottom[0]),
+      pointFromVector(
+        offsets[3],
+        pointFrom<GlobalPoint>(
+          bottom[0][0] + (2 / 3) * (r[0][0] - bottom[0][0]),
+          bottom[0][1] + (2 / 3) * (r[1][1] - bottom[0][1]),
+        ),
+      ),
+      pointFromVector(
+        offsets[3],
+        pointFrom<GlobalPoint>(
+          left[0][0] + (2 / 3) * (r[0][0] - left[0][0]),
+          left[0][1] + (2 / 3) * (r[1][1] - left[0][1]),
+        ),
+      ),
+      pointFromVector(offsets[3], left[0]),
+    ), // BOTTOM LEFT
+  ];
+
+  const sides = [
+    lineSegment<GlobalPoint>(corners[0][3], corners[1][0]),
+    lineSegment<GlobalPoint>(corners[1][3], corners[2][0]),
+    lineSegment<GlobalPoint>(corners[2][3], corners[3][0]),
+    lineSegment<GlobalPoint>(corners[3][3], corners[0][0]),
+  ];
+
+  return [sides, corners];
+}
+
+/**
+ * Get the building components of a diamond element in the form of
+ * line segments and curves as a tuple, in this order.
+ *
+ * @param element The element to deconstruct
+ * @param offset An optional offset
+ * @returns Tuple of line segments (0) and curves (1)
+ */
+export function deconstructDiamondElement(
+  element: ExcalidrawDiamondElement,
+  offset: number = 0,
+): [LineSegment<GlobalPoint>[], Curve<GlobalPoint>[]] {
+  const [topX, topY, rightX, rightY, bottomX, bottomY, leftX, leftY] =
+    getDiamondPoints(element);
+  const verticalRadius = getCornerRadius(Math.abs(topX - leftX), element);
+  const horizontalRadius = getCornerRadius(Math.abs(rightY - topY), element);
+
+  if (element.roundness?.type == null) {
+    const [top, right, bottom, left]: GlobalPoint[] = [
+      pointFrom(element.x + topX, element.y + topY - offset),
+      pointFrom(element.x + rightX + offset, element.y + rightY),
+      pointFrom(element.x + bottomX, element.y + bottomY + offset),
+      pointFrom(element.x + leftX - offset, element.y + leftY),
+    ];
+
+    // Create the line segment parts of the diamond
+    // NOTE: Horizontal and vertical seems to be flipped here
+    const topRight = lineSegment<GlobalPoint>(
+      pointFrom(top[0] + verticalRadius, top[1] + horizontalRadius),
+      pointFrom(right[0] - verticalRadius, right[1] - horizontalRadius),
+    );
+    const bottomRight = lineSegment<GlobalPoint>(
+      pointFrom(right[0] - verticalRadius, right[1] + horizontalRadius),
+      pointFrom(bottom[0] + verticalRadius, bottom[1] - horizontalRadius),
+    );
+    const bottomLeft = lineSegment<GlobalPoint>(
+      pointFrom(bottom[0] - verticalRadius, bottom[1] - horizontalRadius),
+      pointFrom(left[0] + verticalRadius, left[1] + horizontalRadius),
+    );
+    const topLeft = lineSegment<GlobalPoint>(
+      pointFrom(left[0] + verticalRadius, left[1] - horizontalRadius),
+      pointFrom(top[0] - verticalRadius, top[1] + horizontalRadius),
+    );
+
+    return [[topRight, bottomRight, bottomLeft, topLeft], []];
+  }
+
+  const center = pointFrom<GlobalPoint>(
+    element.x + element.width / 2,
+    element.y + element.height / 2,
+  );
+
+  const [top, right, bottom, left]: GlobalPoint[] = [
+    pointFrom(element.x + topX, element.y + topY),
+    pointFrom(element.x + rightX, element.y + rightY),
+    pointFrom(element.x + bottomX, element.y + bottomY),
+    pointFrom(element.x + leftX, element.y + leftY),
+  ];
+
+  const offsets = [
+    vectorScale(vectorNormalize(vectorFromPoint(right, center)), offset), // RIGHT
+    vectorScale(vectorNormalize(vectorFromPoint(bottom, center)), offset), // BOTTOM
+    vectorScale(vectorNormalize(vectorFromPoint(left, center)), offset), // LEFT
+    vectorScale(vectorNormalize(vectorFromPoint(top, center)), offset), // TOP
+  ];
+
+  const corners = [
+    curve(
+      pointFromVector(
+        offsets[0],
+        pointFrom<GlobalPoint>(
+          right[0] - verticalRadius,
+          right[1] - horizontalRadius,
+        ),
+      ),
+      pointFromVector(offsets[0], right),
+      pointFromVector(offsets[0], right),
+      pointFromVector(
+        offsets[0],
+        pointFrom<GlobalPoint>(
+          right[0] - verticalRadius,
+          right[1] + horizontalRadius,
+        ),
+      ),
+    ), // RIGHT
+    curve(
+      pointFromVector(
+        offsets[1],
+        pointFrom<GlobalPoint>(
+          bottom[0] + verticalRadius,
+          bottom[1] - horizontalRadius,
+        ),
+      ),
+      pointFromVector(offsets[1], bottom),
+      pointFromVector(offsets[1], bottom),
+      pointFromVector(
+        offsets[1],
+        pointFrom<GlobalPoint>(
+          bottom[0] - verticalRadius,
+          bottom[1] - horizontalRadius,
+        ),
+      ),
+    ), // BOTTOM
+    curve(
+      pointFromVector(
+        offsets[2],
+        pointFrom<GlobalPoint>(
+          left[0] + verticalRadius,
+          left[1] + horizontalRadius,
+        ),
+      ),
+      pointFromVector(offsets[2], left),
+      pointFromVector(offsets[2], left),
+      pointFromVector(
+        offsets[2],
+        pointFrom<GlobalPoint>(
+          left[0] + verticalRadius,
+          left[1] - horizontalRadius,
+        ),
+      ),
+    ), // LEFT
+    curve(
+      pointFromVector(
+        offsets[3],
+        pointFrom<GlobalPoint>(
+          top[0] - verticalRadius,
+          top[1] + horizontalRadius,
+        ),
+      ),
+      pointFromVector(offsets[3], top),
+      pointFromVector(offsets[3], top),
+      pointFromVector(
+        offsets[3],
+        pointFrom<GlobalPoint>(
+          top[0] + verticalRadius,
+          top[1] + horizontalRadius,
+        ),
+      ),
+    ), // TOP
+  ];
+
+  const sides = [
+    lineSegment<GlobalPoint>(corners[0][3], corners[1][0]),
+    lineSegment<GlobalPoint>(corners[1][3], corners[2][0]),
+    lineSegment<GlobalPoint>(corners[2][3], corners[3][0]),
+    lineSegment<GlobalPoint>(corners[3][3], corners[0][0]),
+  ];
+
+  return [sides, corners];
+}