| # Codex Computer Use Cursor Reverse Engineering |
| |
| This document records the cursor-specific evidence used by Maka's overlay. It |
| keeps confirmed native facts separate from implementation inference. |
| |
| ## Inspected artifact |
| |
| - App: `~/.codex/computer-use/Codex Computer Use.app` |
| - Executable: `Contents/MacOS/SkyComputerUseService` |
| - Bundle identifier: `com.openai.sky.CUAService` |
| - Signed: 2026-07-16 |
| - SHA-256: `44320516c4c400fb5459b203498c78e4af318b0096464f16c4445a47f2b8b8f4` |
| |
| ## Confirmed style architecture |
| |
| The current native binary contains: |
| |
| - `ComputerUseCursor` |
| - `ComputerUseCursor.Style` |
| - `SoftwareCursorStyle` |
| - `FogCursorStyle` |
| - `FogCursorViewModel` |
| - `AgentCursor` |
| - `CursorView` |
| |
| `SoftwareCursor` is a separate `200x230` asset and is not the soft cursor shown |
| by the current Fog style. `FogCursorStyle` hosts `CursorView` in an |
| `NSHostingView`. Its hotspot getter returns half the hosting view size, so the |
| action coordinate is the view center rather than the arrow tip. |
| |
| ## Exact AgentCursor geometry |
| |
| `AgentCursor.path(in:)` builds a normalized path: |
| |
| 1. Move to `(0.00599w, 0.15864h)`. |
| 2. Curve to `(0.15158w, 0.00627h)` with controls |
| `(-0.02364w, 0.06456h)` and `(0.06169w, -0.02474h)`. |
| 3. Line to `(0.87634w, 0.25652h)`. |
| 4. Curve to `(0.88794w, 0.48095h)` with controls |
| `(0.97594w, 0.29096h)` and `(0.98340w, 0.43547h)`. |
| 5. Line to `(0.59343w, 0.62108h)`. |
| 6. Line to `(0.45955w, 0.92925h)`. |
| 7. Curve to `(0.24510w, 0.91717h)` with controls |
| `(0.41611w, 1.02925h)` and `(0.27801w, 1.02146h)`. |
| 8. Line back to the start and close. |
| |
| The observed Retina screenshot has an approximately `29x30` physical-pixel |
| strong silhouette, consistent with a `14x14` logical-point path plus stroke. |
| |
| ## Exact MotionConfiguration.live values |
| |
| | Field | Value | |
| |---|---:| |
| | clickAngle | -44 degrees | |
| | candidateCount | 20 | |
| | boundsMargin | 20 | |
| | startHandle | 0.41960295031576633 | |
| | endpointHandle | 0.15 | |
| | arcSize | 0.27655231880642772 | |
| | arcFlow | 0.5783555327868779 | |
| | straightPathDistanceThreshold | 10 | |
| | springResponseScaler | 0.9 | |
| | springResponseMin | 0.12 | |
| | springResponseMax | 2.2 | |
| | springDampingFraction | 0.9 | |
| | scootDistanceThreshold | 196 | |
| | scootPositionResponse | 0.24 | |
| | scootPositionDampingFraction | 0.84 | |
| | scootPositionSettleVelocity | 12 | |
| | scootAxisResponse | 0.07 | |
| | scootAxisDampingFraction | 0.82 | |
| | scootBaseRotationResponse | 0.09 | |
| | scootBaseRotationDampingFraction | 0.86 | |
| | scootStretchResponse | 0.095 | |
| | scootStretchDampingFraction | 0.72 | |
| | scootStretchMin | 0 | |
| | scootStretchPivotX | 0.5 | |
| | scootStretchXAmount | 0.38 | |
| | scootSquashYAmount | 0.18 | |
| | scootRotationResponse | 0.055 | |
| | scootRotationDampingFraction | 0.76 | |
| | scootRotationMax | 76 degrees | |
| | terminalTangentBlendStart | 0.99 | |
| |
| The window stores separate animation objects for motion progress, scoot |
| position, base rotation, axis, stretch, and rotation offset. Style state exposes |
| velocity, pressed/activity/attached state, angle, X stretch, overall stretch, |
| pivot, stretch angle, and tilt angle. |
| |
| ## Window and lifecycle findings |
| |
| - The virtual cursor is lazily created and retained for reuse. |
| - `orderOut()` hides it without clearing the controller field. |
| - The overlay is associated with a target window/application and can remain |
| behind an unrelated foreground app. It is not a global screen-saver-level |
| overlay. |
| - `move` accepts target point, target window ID, relative-window mode, |
| next-interaction timing, animation, fade-in, and delegate flags. |
| - Successful virtual-cursor press still precedes the ordinary synthetic CG |
| event path; the cursor is a visual interaction layer, not a click backend. |
| |
| ## Maka implementation boundary |
| |
| Maka copies the exact glyph, hotspot convention, thresholds, and recovered |
| configuration constants. The binary's candidate path scoring function is |
| stripped, so Maka uses a deterministic 20-candidate cubic planner with the exact |
| handle and arc constants. This is a structural reproduction, not a claim of |
| instruction-for-instruction equivalence. |
| |
| ## Visual validation |
| |
| The same built Canvas engine is rendered on both light and dark surfaces: |
| |
|  |
| |
| The contact sheet below samples one long move from the built overlay bundle. It |
| shows the curved path, movement-axis stretch and rotation, and terminal settle: |
| |
|  |
