Asteroids · qwen3.8-max-0902

Let me try writing the game.

The game uses `window.__game` for testing, but state is captured as a local variable (a getter that returns the current variable — it's a getter, so no problem). One concern: `ship.alive` gets respawned, but the ship object is replaced by restart. The getter returns the current reference, so that's fine.

Let's test it in the browser.

The game loads. The ship spawns in the center with an invincibility ring. Asteroids are displayed. Next, test the controls: rotation, thrust, firing. Use the browser tool: key press.

Test rotation: hold down ArrowRight for a while and check ship.ang. Use the exposed __game state.

The key tool seems to be pressing and releasing (or maybe holding?). The ship still appears to be facing up. Let's use JS evaluation to check the state... the browser tool doesn't have an eval action. Actions: reload, inspect, screenshot, motion, click, drag, key, type, scroll. Hmm, no direct JS eval. "inspect" might return DOM/console info. Can I use `type`? That types text.

Alternative: I can verify behavior with the motion action (frames over time). But to sample state, I need JS. Maybe inspect can run a script? Probably it just inspects the DOM. Hmm.

Options: temporarily add a debug output element to the page? I could add a hidden debug HUD that displays ship angle, velocity, bullet count — but that would clutter the UI. Instead, I can write state to document.title or a data attribute and read it via inspect's DOM output. The inspect output shows the DOM text. Let me add a small update in the loop: set data-debug on document.body with rounded values. This is harmless and can be left in (or removed later). Actually, leaving a hidden debug attribute is fine.

Let me add: document.body.dataset.debug = JSON of rounded values. Then inspect displays the DOM text... does inspect show attributes? It showed "SCORE 0\nWAVE 1..." which is body's text content. Attributes might not show. Safer: add a visually hidden <div id="dbg"> (position absolute, opacity 0? but then the text still appears in the DOM dump). The DOM dump seems to include text content. Let me add a small div with font-size 1px or display:none... display:none text might still appear in the DOM dump (since it's the DOM). The earlier dump showed the visible text. Let me just add a div with very low opacity at the bottom — acceptable, or place it in the HUD. Actually the simplest: append debug info to a div styled with opacity:0.001? Hmm, that would be visible in screenshots as a faint trace. Use color transparent? The text still exists in the DOM.

Add: <div id="dbg" style="position:fixed;left:-9999px">...</div> — off-screen, invisible in screenshots, but included in DOM text dump.

Update every frame: dbg.textContent = `ang=${ship.ang.toFixed(2)} vx=${ship.vx.toFixed(1)} vy=${ship.vy.toFixed(1)} nb=${bullets.length} na=${asteroids.length} sx=${ship.x.toFixed(0)} sy=${ship.y.toFixed(0)} lives=${lives} score=${score} over=${gameOver}`.

Then key operations: does the `key` action press and hold? Unclear. Probably dispatches keydown then keyup. For holding, maybe dispatch keydown and hold until the next key? In the screenshot after ArrowRight key, the ship didn't visibly rotate (single press = short duration → tiny rotation). Hmm, actually the ship still appears to face up in the second screenshot; a momentary tap of about 50ms would rotate 0.2 rad ≈ 11°, hard to see.

Better approach for testing: use the motion action to capture frames over time while keys are held? The motion action probably records frames during interaction? Unclear.

Alternative: simulate holding by dispatching keydown without keyup — but the tool probably does both.

Hmm, but my game reads the `keys` map on keydown/keyup. If the tool does down+up quickly, rotation is minimal. To test meaningfully, I can use the exposed __game.keys object: but I can't eval JS...

Wait — the `type` action types text into the page; each character generates keydown/keyup. Not useful for holding.

Maybe the browser tool's `key` holds the key until the next action? Let me test: press ArrowRight, then take a screenshot a bit later (the next action happens some ms later). In the screenshot above (attached to the key result), the ship still faced up... but that frame was at +0ms.

Let me try: key ArrowRight (down?), then screenshot action — if the key is still held, the ship should rotate continuously. Then key ArrowRight again to release? Unclear.

Simplest, most robust approach: make the game also respond to discrete taps reasonably? No — the requirement is holding to rotate.

Alternative: I can verify via the debug div: press ArrowRight, then inspect; if the key is held, ang changes between inspects. Let me add the debug div first.

Also about firing: press Space once → one bullet spawns (keydown sets keys[' ']=true, cooldown fires one bullet immediately on the next frame; keyup sets false). So a tap fires one bullet — good, bullet count 1, then moves.

About thrust: tap gives a tiny impulse. Holding is needed for momentum. If the tool releases immediately, velocity gain = 220*dt per frame ≈ 3.7 per frame; a tap spanning 1-2 frames gives small velocity. Hmm.

Maybe the browser tool's `key` supports holding: the description says "key" with a text parameter. Many harnesses of this kind dispatch keydown, wait, keyup at action end? The attached frame was +0ms.

Let me experiment: add the debug div, then run key ArrowRight, then inspect twice and compare ang. If ang keeps increasing, the key is held.

Actually, another approach: the motion action captures frames over time — good for verifying bullet movement and wrapping.

Let me add the debug div now.

Wait, the loop function references ship/bullets before restart()? No—restart() is called before requestAnimationFrame(loop). But the loop's debug references ship—if gameOver, ship still exists. No problem.

Reload and test: press and hold ArrowRight? First check the baseline.

The debug readout is working. Next, test rotation: press and hold ArrowRight? The `key` action probably presses and releases. Let's try pressing ArrowRight and then inspecting twice to see if ang changes between inspections (i.e., whether the key is being held down).

Rotation is working: ang went from -1.57 to -1.30 (a tap rotates about 0.27 rad), and the ship sprite is visibly rotating (facing slightly upper-right). Good.

Next, test thrust: tap ArrowUp a few times and confirm that v becomes non-zero and the position changes (momentum is preserved). Then Space: bullet count and bullet movement.

The debug display at the +0ms point of the key action still shows v=0.0 — since the frame is captured at the moment of the action, the update may not have run yet. The key action seems to be dispatching keydown+keyup almost instantaneously. With an instantaneous tap, the held-down time is less than 1 frame, so thrust may not be applied. Hmm, but rotation was applied (ang changed from -1.57→-1.30). So the key is held for some duration (about 4 frames? 0.27 rad / 4 rad/s ≈ 0.067s ≈ 4 frames). In the case of thrust, 4 frames × 220×0.016 ≈ 14 velocity should be applied... but the display shows v=0.0 at +0ms (before the frame runs). The screenshot attached to the key result is also at the +0ms point.

Therefore, to observe the effect, I need to inspect after the key action. Let me inspect now (after the ArrowUp tap).

Even after tapping ArrowUp, v is still 0.0,0.0. So does that mean the key tool dispatches keydown+keyup synchronously within the same frame? If keydown and keyup happen between frames, then keys['ArrowUp'] becomes true and then false before update() runs → thrust doesn't get applied. But rotation did get applied (ang changed)... wait, did it really? ang went from -1.57 to -1.30 after the ArrowRight key action. Hmm, this suggests the key was held down across multiple frames. Or... maybe the key action dispatches keydown, waits about 100ms, then dispatches keyup, and the attached screenshot is at the +0ms point (before keyup). Then in the case of ArrowUp: keydown at t0, keyup at t0+about 100ms → thrust should be applied for about 6 frames → v ≈ 220*0.1 = 22 minus drag. But the inspect shows v=0.0.

Wait — inspect shows the same values as before: v=0.0,0.0 pos=480,320. And ang=-1.30 unchanged. Hmm, but between actions the asteroids moved (positions differ in the screenshots), so frames are advancing. Then why is v zero after the ArrowUp tap?

Ah! I got it: my keydown handler: `keys[e.key] = true`. For ArrowUp, e.key === 'ArrowUp'. update checks keys['ArrowUp']. No problem there.

But wait: maybe the key tool dispatches keydown and keyup back-to-back synchronously (both within the same task), so no frame sees the key as being pressed. Then how did rotation change ang? Hmm, maybe rotation didn't come from the key: initial ang=-1.57; after the ArrowRight action, ang=-1.30. That's +0.27 rad. If keydown+keyup are synchronous, keys['ArrowRight'] is true then false — no frame sees it. Unless the key tool holds the key down until the next tool call!

Scenario: key action = dispatch keydown, hold. The next tool call (inspect/screenshot) happens later; maybe keyup is dispatched at the start of the next action? Sequence: key ArrowRight (keydown, hold). Then the result frame is at +0ms. Then I called key ArrowUp: maybe at that point keyup(ArrowRight) + keydown(ArrowUp)? Then during the interval between the two actions (a few hundred ms?), ArrowRight was held → ang rotated. Then key ArrowUp was held until the next action (inspect)... but inspect shows v=0.0. Hmm, that contradicts: if ArrowUp was held from the key action until inspect, thrust should be applied.

Unless inspect first dispatches keyup for all held keys, and the frame attached to inspect is at +0ms (before update runs with the key still pressed?). No — if it was held from the previous action to inspect, many frames should have run with ArrowUp=true → v should be >0. The display shows 0.0.

Hmm, wait, maybe drag: v *= 0.6^dt per frame — that's strong drag: at dt=0.016, factor 0.6^0.016 = e^{0.016*ln0.6}= e^{-0.0082} ≈ 0.9918. Not enough to zero it out.

Maybe... thrust wasn't applied because keys['ArrowUp'] wasn't set: maybe the tool sends e.key='Up'? No, modern tools use 'ArrowUp'. Hmm, but rotation worked with 'ArrowRight'...

Let me think again: maybe the key tool presses and releases with a small delay (e.g., 50ms hold). Then ArrowRight: about 3 frames held → Δang ≈ 4*0.05=0.2 rad ≈ observed 0.27. ArrowUp: about 3 frames held → v ≈ 220*0.05 = 11 in the ang direction (-1.30): vx≈2.9, vy≈-10.6. Display shows 0.0,0.0 with toFixed(1) → should display as 2.9,-10.6. Not zero.

Hmm, but wait: maybe the inspect at +0ms shows dbg text from the last rendered frame... which should include the thrust. Unless keyup happened and then... no, velocity persists (momentum). v should remain non-zero. It's 0.0.

So the ArrowUp keydown didn't register thrust at all. But ArrowRight did register rotation. Strange. Unless the rotation change came from something else... what else changes ang? Nothing.

Ah, wait. I got it: in the keydown handler I check `GAME_KEYS.has(e.key) || e.code==='Space'` for preventDefault — unrelated. keys[e.key]=true — no problem.

Hmm, maybe the tool's "key" action sends keys by name like "Right"? And my handler... keys['Right']=true wouldn't affect rotation. But ang changed!

Let me look at the numbers again: after reload: ang=-1.57. After key ArrowRight: ang=-1.30. After key ArrowUp: ang=-1.30 (unchanged), v=0. After inspect: same.

Maybe the key tool holds the key down until the next key action: ArrowRight held from action 1 to action 2 (about 1-2 seconds?) → ang should rotate a lot (4 rad/s * 1.5s = 6 rad). Observed is 0.27. No.

Maybe the key tool holds for a fixed short time like 66ms (4 frames). Rotation: 4*0.066=0.26 ✓ matches 0.27! Thrust: v = 220*0.066 ≈ 14.5 minus a bit of drag → about 14. But display shows 0.0. ✗.

Unless thrust was applied but then... ship.alive? Yes, alive. keys['ArrowUp'] — maybe the tool sends key 'Up' for up? Some tools use legacy names. And 'Right' for right? But then rotation shouldn't work... unless the tool maps 'ArrowRight' correctly and 'ArrowUp'... hmm, both are the same style.

Wait, maybe the issue is: my preventDefault list includes 'ArrowUp'; preventDefault doesn't block my own handler.

Hmm, let me look at update(): `if(keys['ArrowUp']){...}`. And keydown sets keys[e.key]=true. keyup sets false. If the tool dispatches keydown and keyup within the same JS task (synchronously), no rAF frame runs in between → no effect at all. Then the ang change is... hmm, but ang did change after ArrowRight.

Unless the ang change wasn't from ArrowRight: after reload dbg shows ang=-1.57 inv=2.3. After the ArrowRight action: ang=-1.30 inv=-0.0. inv went from 2.3 to -0.0 → about 2.3+ seconds elapsed between reload and that action (I was writing messages). During that time... nothing rotates the ship. Hmm.

Ah! Maybe I got it: the browser tool's key action with text "ArrowRight" might type/press and the page received multiple keydowns? Whatever.

Or maybe the rotation came from a prior ArrowRight press in a previous session? No, it was after reload.

Let me test directly and carefully: run key ArrowLeft, then inspect, and compare ang. And run key ArrowUp twice, then inspect to check v. Maybe a single tap of up is too short: if keydown/keyup are synchronous within one task, zero frames see it → no thrust and no rotation. But rotation happened... really? -1.57 → -1.30: yes, +0.27.

Hmm, wait, maybe the reload action's frame was captured before restart()? No, restart sets ang=-π/2=-1.5708 → displays as -1.57. Then ArrowRight action: -1.30.

Maybe the tool holds the key during the attached screenshot's motion (about 66ms) and then releases. For ArrowUp, thrust during hold: v≈14. Then keyup. Then inspect: v should show about 14 (drag is small). Shows 0.0.

Something's off. Unless the ship collided and respawned? pos=480,320 unchanged, lives=3. No.

Hmm, actually wait: maybe the key tool's keyup uses a different e.key (undefined?) so keys['ArrowUp'] stays true... then thrust would continue — v should be large. No.

Let me look at my keyup handler: `keys[e.key]=false`. No problem.

Maybe the tool dispatches key events to the focused element = restartBtn? No, the overlay is hidden; focus is body. The listener is on window — captures everything.

Or maybe the tool uses CDP Input.dispatchKeyEvent with windowsVirtualKeyCode and text='ArrowRight'; e.key becomes 'ArrowRight'. OK.

Honestly, the empirical approach: run a sequence and observe. Test 1: key ArrowUp, then immediately inspect, then inspect again. If v stays 0, thrust via tap isn't working; in that case, to verify thrust/momentum I need another method: the `type` action? type sends a sequence of characters.

Alternative: maybe the tool's key action does down+up synchronously, and the observed rotation change was actually... hmm, from what?

Ah, wait. Now I get it! The reload's dbg line showed inv=2.3 — that frame was captured about 0.2s after reload. Then my key ArrowRight action happened a few seconds later (wall-clock time between tool calls). During that interval, nothing was pressed. ang=-1.57.

Then the key ArrowRight result shows ang=-1.30 inv=-0.0. inv=-0.0 means invuln has expired (clamped? invuln decreases below 0 and stays negative — I don't clamp it; it displays as -0.0). So between reload and this frame, about 2.5+ seconds elapsed. And during the key action's hold (if held about 66ms), rotation 0.27 ✓.

Then key ArrowUp: result frame at +0ms shows ang=-1.30 v=0.0 — but that frame is at the start of the action (before hold frames run). Then inspect: shows the same text?? inspect's DOM shows ang=-1.30 v=0.0 pos=480,320 — identical to the previous frame. But the asteroids moved between the screenshots! So frames advanced but dbg text didn't change?? The dbg text is updated every frame... unless update() early-returns? No, dbg update is inside loop after update/draw, always runs.

Wait, look at inspect's screenshot: asteroid positions differ from the key ArrowUp screenshot. And dbg is identical: v=0.0 pos=480,320. If frames advanced and no keys are pressed, pos stays 480,320 (v=0) ✓ consistent. ang unchanged ✓. So between the key ArrowUp action and inspect (about 1 second?), if ArrowUp had been held even briefly, v should be non-zero... unless the hold ended before the frame? I.e., down+up synchronous.

Then how did ang rotate by 0.27?? If down+up are synchronous, keys['ArrowRight'] is true→false with no frame in between → no rotation. Contradiction!

Unless the tool holds the key for N ms on 'ArrowRight' but... same code path for both.

Hmm, maybe the ang change came from something else: is there any code that modifies ship.ang? Only the ArrowLeft/Right keys. Hmm... and makeShip sets -π/2. restart() calls makeShip. Did restart happen between reload and the ArrowRight action? restart is called on 'r' key or button click. Not pressed.

Wait, maybe the reload frame was captured before the first update? dbg initial text: set on the first loop iteration. ang=-1.57 either way.

Hmm, let me double-check: -1.30 vs -1.57: difference 0.27 rad. At 4 rad/s that's 67ms. Or maybe the tool held ArrowRight during the attached "motion" frame? The key result said "Frame 1, +0ms".

Or maybe the tool's key action = keydown, wait about 100ms (capture?), keyup. And for ArrowUp: keydown... but my handler: `if (GAME_KEYS.has(e.key) || e.code==='Space') e.preventDefault();` GAME_KEYS contains 'ArrowUp' ✓. keys['ArrowUp']=true ✓. Thrust applied while held... v≈22. Then keyup. inspect shows 0.0.

I'm going in circles. Empirically: let me do this: key ArrowUp; then screenshot; then screenshot again; compare dbg v and pos across the 3 samples. If v becomes non-zero in later samples, thrust works and the earlier identical readings were a coincidence of timing (e.g., the key action's frame was captured before the hold, and my inspect happened... no, inspect was after).

Hmm, wait, actually — maybe inspect's DOM text was cached/stale? inspect's screenshot showed asteroids moved relative to the previous screenshot... really? Compare: key ArrowUp screenshot: asteroids at (390,160),(830,260),(830,355),(590,560). inspect screenshot: (385,330),(940,270),(965,265),(865,660). Yes, moved.

OK, another thought: maybe the tool dispatches keydown on key action and keyup on the next tool call's start. Sequence:
- Action key ArrowRight: down(Right) at t1. Result frame at +0ms (ang still -1.57? but shows -1.30!). Hmm, shows -1.30 at +0ms. So rotation happened before the result frame → down occurred before the captured frame, and some frames ran with Right held... but the result says +0ms.

Ugh.

New idea: maybe "+0ms" refers to the motion capture start, and the DOM dump is taken after some interaction time. Whatever.

Let me stop theorizing and gather data: run key ArrowUp now, then screenshot, then screenshot. Compare dbg lines.

Very useful info: lives dropped to 1 (two collisions occurred while I was idle between tool calls — the ship was sitting at the spawn point, and after invincibility wore off, asteroids drifted into it). Also, the flash overlay (white) is visible — a collision just happened right before this frame. ang reset to -1.57 (respawn), v=0.0,-3.3 — small residual velocity? After respawn vx=vy=0; -3.3 suggests thrust was applied after respawn (ArrowUp was pressed during this action) → thrust is working! v=0,-3.3 in the ang=-1.57 direction (upward) ✓.

So thrust is working; the earlier zero reading was because keyup happened before the frame? Well, whatever — now I've confirmed that thrust gives velocity in the facing direction.

Also confirmed: collision → life lost, respawn at center, flash. Good.

But note: while I'm idle between tool calls, the ship gets hit repeatedly (there's no safe idle state). That's fine as gameplay.

Now, the earlier mystery: after the first ArrowUp tap, v=0.0 — probably the tap's keydown+keyup fit between frames, and this time the hold spanned a frame. Timing-dependent. OK.

Next tests:
1. Firing: press Space, confirm nb=1 and that the bullet position moves between samples; bullet lifetime is finite (disappears after ~1.1s).
2. Wrapping: sample position as the ship crosses an edge. I can thrust toward an edge and sample. Or more easily: asteroids wrap — sample asteroid positions? dbg only outputs the ship and bullet 0. I can extend dbg to include asteroid 0's position. Let me add a0=... to dbg.
3. Asteroid splitting / scoring: hard to aim with taps. Alternative: rely on code correctness? The task says to verify firing near spawn and wrapping. For splitting, I can point the ship at a nearby asteroid and fire repeatedly… tricky manually. Better approach: temporarily expose a test hook? I already expose __game with getters. But I can't eval JS from the browser tool… or can I? The "type" action types text into a focused input field — there's no input field. Hmm.

Maybe I can use the click action on the canvas — no effect.

Options: add a hidden key-controlled debug feature? For example, press 'K' to spawn a bullet aimed at the nearest asteroid? That would modify gameplay code for testing — acceptable if small and harmless? It could be seen as cheating, but it's a debug aid. Better: keep the game pure and verify splitting logic through reasoning + a simple headless simulation in node? Can I run the logic in node? The game is inline in the HTML; can I extract the script and run it in node with a canvas stub? Heavy.

Alternative practical approach: verify splitting by firing many bullets in all directions? Not possible.

Hmm — actually I can aim: the ship is at the center; asteroids drift. I can rotate to point at an asteroid and fire repeatedly; bullets travel 480px/s across the whole screen; with 12 bullets and wrapping, hits are likely. Score increase would confirm hit+split (na changes from 4→ e.g., 4-1+2). Let me try: fire several times while rotating, sample dbg score/na.

Easier: bullet-asteroid collision uses radius+3; large rad=48 — a big target. Firing 10 shots in a rotating spread should hit something.

Wrapping test: thrust up for a while (multiple taps), ship moves up, crosses top edge, y wraps to bottom (pos y jumps from ~0 to ~640). Sample dbg pos across screenshots. Ship speed is up to 340; crossing 320px takes ~1-2s. Multiple ArrowUp taps (each tap adds ~3-14 velocity?). Hmm, tap effectiveness varies. Hold is uncertain.

Alternative deterministic wrap check: asteroids wrap constantly — extend dbg to output a0's position; sample twice; if a0's y jumps from <0 vicinity to >600, or crosses with a delta greater than expected… I can catch the wrap moment by sampling a few times. Even simpler: compute — asteroid velocity is known? Not output. Output a0's velocity too.

Plan: extend dbg with a0=x,y,vx,vy. Then sample several times; verify wrap arithmetic: when position crosses an edge, it reappears on the opposite side (e.g., y goes from 635 to 3). With velocity ~50px/s and sampling interval ~1s, delta ~50; a jump of ~640 indicates wrap.

Also bullet wrap: bullet 0's position is output; bullet lifetime 1.1s * 480px/s = 528px < 640, so unless fired near an edge, wrap is rare. Ship wrap is testable with thrust.

For ship thrust accumulation, repeated taps: each tap that spans a frame adds ~220*dt*frames. Previously one tap gave 3.3. Too slow to cross 320px. Hmm, but drag 0.6^dt per second → velocity halves about every 1.36s? 0.6^t: at t=1, coefficient 0.6. Strong drag; terminal velocity from repeated taps is low.

Maybe the key tool holds longer when…? The first ArrowRight tap rotated 0.27 rad = 67ms hold. The first ArrowUp tap gave v=0 (hold <1 frame?). The second ArrowUp gave 3.3 (1 frame). Hold time ~67ms but frame alignment varies.

To get real speed, I need many taps: 20 taps × ~3.3 = 66 px/s… minus drag between calls (drag only applies while…; drag applies every frame continuously! Between tool calls (~1s real time), velocity decays by ×0.6 per second. So accumulated velocity decays between taps. Ugh.

Alternative: reduce drag in the game? "Ship retains momentum" — my drag 0.6^t is fairly strong friction; classic Asteroids has almost no friction. Requirement: "ship retains momentum" — strong drag contradicts the spirit. Lower drag to 0.9^t? Still decays. Classic Asteroids: slight friction or none. Use very light drag: 0.995 per frame equivalent → pow(0.75, dt*0.1)? Let me set the drag coefficient: v *= Math.pow(0.35, dt*0.08)? Hmm, simpler: v *= (1 - 0.05*dt) ≈ 5% loss per second. Then momentum is retained well, and taps accumulate across calls (5% decay per second is negligible).

With light drag, each tap adds ~3-14 px/s; 10 taps → ~60-100 px/s; crossing 320px takes ~4s of sampling — feasible: tap up 6 times (6 tool calls), then sample position twice to confirm motion, keep going until wrap. Lots of calls but fine within budget.

Better idea: make thrust stronger per frame? Thrust 220/s is standard. A 67ms tap adds ~15 px/s if a frame runs during the hold.

Or use the motion action? "motion" captures frames over time — might show the ship moving. Still need speed.

Hmm, what about key hold: maybe the tool holds the key until the next key action of the same key? Data: after key ArrowRight (action A), at result time ang -1.30 (67ms of rotation). Then action key ArrowUp (B): at result time ang unchanged (-1.30) → Right was not held between A and B ✓ released. At B's result v=0: up was pressed but at +0ms no frame yet. Then inspect (C): v=0 → up was not held during B→C, and the tap didn't span a frame. Then key ArrowUp (D): at result v=-3.3 → the tap spanned 1 frame.

So taps are ~67ms hold but frame alignment is a lottery (rAF in headless might be throttled? Screenshot shows animation progressing, so rAF is running at some rate).

OK, final approach for wrap verification: deterministically force a wrap scenario through gameplay-independent means? The requirement is "sample the scene to inspect screen wrap when objects cross edges" — asteroids cross edges constantly on their own! Just sample a0's position over a few inspects and catch the wrap jump. Add a0 to dbg. Asteroid velocity 30-80 px/s; sampling interval between tool calls ~0.5-2s → delta 30-160px; wrap jump ≈ ±640 or ±960 distinguishable.

Ship wrap too: once ship has some velocity (e.g., -3.3 upward…), too slow. But ship wrap uses the same wrap() function as asteroids; verifying with asteroid + code review is reasonable. Additionally, I can give the ship velocity with ~8 rapid up-taps and sample; with light drag, velocity persists; 8 taps × ~10 = 80px/s → crosses 320px in 4s → 2-3 sampling calls. Feasible.

Also firing test: Space tap → nb=1; sample twice: b0's position changes (moving), then after ~1.2s nb=0 (lifetime finite).

Splitting test: fire in the direction of asteroids… aiming is hard. Alternative: fire 12 bullets while rotating 360° (alternate ArrowRight tap + Space tap) — a spread of bullets in all directions; with 4 large asteroids (rad 48) on a 960x640 field, some will likely hit. Sample score/na. Let me try ~8 pairs of (rotate, fire). Each pair = 2 calls → 16 calls. Time budget OK? Each call ~1-2s. Fine.

Actually smarter: bullets wrap and live 1.1s traveling 528px; a ring of 8-12 shots from center covers all directions; probability of hitting one of 4 large asteroids (each ~96px wide at some radius) is decent but not guaranteed… asteroids move too. Try it; if score stays 0, do a second volley.

Or expose a debug function via __game and trigger it with…? No, no eval.

Hmm wait — maybe I can get eval: the "type" action types text into the focused element. If I focus the address bar? No. The page has a button (restartBtn) — typing goes nowhere.

OK, go with the volley plan.

Also fix drag: change to light friction: ship.vx *= Math.pow(0.5, dt*0.12)? Let me define: half-life ~5.8s? pow(0.5, dt/5)? At dt=1: ×0.87 per second. Good: retains momentum but eventually slows. Actually classic Asteroids has mild friction. Use coefficient = Math.pow(0.5, dt/6) (half-life 6s).

Speed cap 340 also OK.

Update dbg to include a0.

One more thing: earlier, while I was idle the ship sat at the spawn point and lost 2 lives — that's legitimate gameplay (asteroids drift). But spawn protection: invuln 2.5s only at wave start/respawn; asteroids can sit at the center. Classic games clear the spawn area. My spawnWave keeps asteroids 160px away from ship at wave start, but they drift in. Respawns during a wave have no clearance — could be an immediate unfair hit right after invuln ends… acceptable, but better: on respawn, also nudge away nearby asteroids? Simple: on respawn, push asteroids within 140px of center to a random distant location? Or give longer invuln (2.5s is "brief protection" ✓ required). Keep as-is; maybe add spawn clearance: on respawn, teleport asteroids within 120px of the ship to a random edge position far away. Small addition, improves fairness. Let me add it.

Edit contents:
1. Drag: replace `ship.vx*=Math.pow(0.6,dt); ship.vy*=Math.pow(0.6,dt);` with `const dr=Math.pow(0.5,dt/6); ship.vx*=dr; ship.vy*=dr;`
2. Add a0 to dbg.
3. Respawn clearance function.

Reload and run the test sequence:
1. Reload
2. Space (fire) → inspect: nb=1, b0 position
3. Inspect again: b0 has moved; then about 1.2 seconds later nb=0 (the interval between calls is usually more than 1 second).
After that, tap upward several times for the ship's wrap; sample a0 for the asteroid's wrap.
Then, fire in all directions for splitting.

Fresh state. a0=638,559,17,41,s3. Next, fire: Space key.

Bullet fired: nb=1, b0=480,258 (above the ship at 480,320, moving upward), life=1.00. Bullet is visible in the screenshot above the ship.

Also note a0: previously 638,559 v=(17,41); now 707,92 — y went 559 → 92: this is a wrap! With vy=41, over elapsed time (~8s?) 559+41*t... hmm 559→92: if it wrapped: 559+41t mod 640 = 92 → 41t ≈ 173+640=813 → t≈19.8s? The elapsed time between the two calls is probably around 10-20 seconds (my own thinking time). Or without wrapping: 41t = -467 is impossible; or t=... 559+41t=92+640=732 → t=4.2s is possible without wrapping?? 559+173=732 >640 → wraps at 640 → 732-640=92 ✓ so it crossed the bottom edge (y>640) and wrapped to 92. Wait, direction: vy=+41 is downward; 559+41t crosses 640 at t≈2s, then wraps to 0 and continues to 92 at t≈4.2s. Yes! Asteroid wrap confirmed (crossed the bottom edge, reappeared from the top). x: 638+17*4.2=709 ≈707 ✓ consistent. Excellent: asteroid wrap verified with consistent velocity.

Next, sample again to confirm bullet motion + lifetime end: inspect now → b0's y should have decreased (moving up), and eventually nb=0.

innb=0 → bullet expired after its ~1.1s lifetime (bounded ✓). a0 x: 707→959, vx=17 → t≈14.8s? Hmm 707+17t=959 → t=14.8; y: 92+41*14.8=699 → wrap → 59? Display shows 75. Close enough given rounding error (velocity is rounded to integer). No problem — a0 is about to wrap on x too (959 near the edge).

Bullet motion: b0 was at 480,258 with life 1.00; now expired. Didn't get an intermediate sample of bullet motion, but in the screenshot right after firing the bullet was displayed above the ship (moved from muzzle 320→258 in ~0.13s ≈ 480px/s ✓). This is evidence of motion: at fire time +0ms the bullet was already at y=258 (moved 62px). Good.

Next, test ship wrap + momentum accumulation: tap ArrowUp several times, sample pos. Each call interval is ~several seconds; drag is currently half-life 6s so velocity persists.

Sequence: key ArrowUp ×3 (3 calls), then inspect pos twice to measure drift; continue until wrap. Each tap adds ~3-15 px/s upward… slow. Hmm, 5 taps → probably 40 px/s → 320px in 8s → 2-3 inspect calls. OK.

Actually a better approach: also verify that momentum persists without input: sample pos across 2 inspects with no keys → delta should be constant.

Let me run 4 up-taps in a row (independent calls? Consecutive calls have dependencies — must be sequential). Each key call is 1 tool call. That's fine.

thinTap didn't register this time (v=0 at +0ms; need to check later). a0 x: 959→262, vx=17: wrap on x (959+17t mod 960 = 262 → 17t≈263+... 959+17t-960=262 → 17t=263 → t≈15.5s; y: 75+41*15.5=710 → wrap → 70 ≈89? Well, within rounding error, OK). Another wrap observation.

The tap lottery is annoying. To reliably give the ship velocity, tap multiple times and check. Let me tap 3 more times and then inspect.

The tap lottery continues. Taps that span across frames are unreliable. For the ship's wrap test, there's a better way: the ship already... no wait, v=0.

Alternative: use the `motion` action? It captures frames over time but doesn't press keys.

Hmm, how about holding via two actions: maybe the tool keeps the key held down until keyup is sent on the next key action? Previous evidence: after key ArrowRight (A), the next action key ArrowUp (B) showed ang unchanged between A's result and B's result... A's result already included the rotation. Between A and B, if Right had been held the whole time, ang should have rotated a lot by B's result. It didn't. So no.

Realistic fallback: verify the ship's wrap with a single strong impulse: temporarily... no, don't modify the game for the test.

Wait — actually there's another input path: the `drag` action? No, that's mouse.

What about `type`? It types characters — keydown/keyup per character, with 'w' etc.? My game only uses arrow keys.

Hmm, but actually: does my keydown handler ignore repeats? No, repeat is fine.

Thinking about tap timing: the tool probably does: dispatch keydown, wait ~66ms?, dispatch keyup, capture. rAF in headless Chromium with screenshots might run at low fps (e.g., only when capturing?). The asteroids move smoothly between screenshots, so rAF is running continuously at some fps. A 66ms hold should span ~4 frames at 60fps... unless headless rAF is throttled to low fps (e.g., 10fps → 66ms ≈ 0.66 frames → lottery ✓ matches observations: sometimes 1 frame, sometimes 0).

So each successful tap adds 1 frame's worth of thrust ≈ 220*0.1=22? The observed value was 3.3 (dt small?). Hmm, observed v=-3.3 → dt≈0.015 → that frame was 60fps. Lottery: whether a rAF tick falls within the 66ms window... at 60fps, 66ms ≈ 4 ticks — should always register! But sometimes v=0... unless keyup comes ~10ms later.

Whatever. Empirically ~50% of taps register a small impulse. Accumulate: tap 6 more times, then inspect; expect v≈-20..-60 upward; then sample position across calls to catch the wrap (320px at ~40px/s = 8s ≈ 2-3 calls). Doable but call-count cost. Or accept asteroid wrap (verified twice with velocity-consistent arithmetic) + ship uses same wrap() — plus code reading. Task says "sample the scene to inspect screen wrap as objects cross edges" — objects: asteroids qualify, verified twice (a0's y-wrap and x-wrap). Ship wrap uses identical code path. Still, I want one ship wrap.

Compromise: keep tapping up between other checks. Now do 3 taps, then inspect twice.

Also still need: split/score test and game over/restart test. Game over: idle until lives run out (ship at center gets hit) — earlier idle dropped lives 3→1 in ~2 calls. Then overlay + restart button: click restartBtn → verify reset (score 0, lives 3, wave 1, na reset). This covers restart control.

Split test: volley of Space taps while rotating. Each Space tap fires if it spans a frame? Firing happens on frame where keys[' ']==true && cooldown<=0 — same lottery. Ugh.

Hmm, improve odds: make firing edge-triggered on keydown event rather than polling in update! I.e., push bullet directly in keydown handler (with cooldown check). Then every Space tap fires exactly one bullet regardless of frame timing. This is better game feel too (responsive). Rotation/thrust remain polled (holding keys). Firing on keydown event = standard.

Similarly, could apply small impulse on thrust keydown? No — thrust must be continuous while held; polling is correct. But add: also apply on keydown event? No.

For testability of rotation, polling is fine (verified: ang changed with hold).

So change: move firing into keydown listener (ignore e.repeat for auto-fire? Allow repeat for hold-fire with cooldown). Implementation: in keydown, if (e.code==='Space'||e.key===' ') tryFire(). tryFire checks gameOver, ship.alive, fireCooldown<=0 → push bullet, set fireCooldown=0.22. Remove polling fire from update (keep cooldown decrement in update).

Then each Space tap = 1 bullet guaranteed. Volley: alternate ArrowRight tap + Space tap: rotation tap also lottery... rotation verified working with hold ~0.27rad. For spread aim, even without rotation, bullets all go up; asteroids drift; 12 bullets up-column from center will likely hit something eventually as asteroids cross center column... meh.

Better aiming aid for test: none. Just fire ~8 bullets upward over successive calls; asteroids wander through the column. Bullet travels 528px up from center with wrap: covers column x∈[477,483] from y=320 up to 0 and wraps 640→432... effectively entire vertical line x=480 (320→0→640→432). Any asteroid crossing x≈480±48 during bullet's life gets hit. With 4 asteroids wandering, over ~10s of volley, hit likely. Score>0 confirms split logic (na change: large→2 medium: na+1).

Also medium→small etc. Just confirming score increase and na change suffices.

Let me implement fire-on-keydown now.

tryFire is referenced inside the keydown listener that's registered before the function declaration — function declarations are hoisted within the IIFE, so no problem. However, `ship`/`fireCooldown` are let variables initialized in restart(), which runs at the end — keydown can only fire after the page loads, so at that point they're already initialized. OK.

Reload and execute a volley: repeat Space key inputs, and check the score/na in between.

Next, fire a volley toward the asteroid on the right side: first rotate right (tap ArrowRight a few times to face right, ang≈0), then fire. Facing right: from -1.57 to 0 requires +1.57 rad ≈ 6 taps of 0.27. The taps are a lottery... Instead, fire upward while the asteroid is up top? Currently there's nothing directly above.

Alternative: fire in all directions: alternate rotate tap + fire tap about 10 times; the bullets will spread out.

Or, more simply: aim right: tap ArrowRight 4 times, check ang, adjust, then fire twice. Let's start: tap ArrowRight twice and inspect ang.

This tap didn't rotate (ang is still -1.57). The asteroid is on the right (around x=830-900, y=300-450). To face right, I need ang≈0 (or slightly downward). Each successful tap gives about +0.27. Need about 6 successful taps. Lottery-like behavior.

Faster method: fire upward while rotating occasionally; or just fire 12 shots upward: bullets cover the column at x=480; the asteroid at (830,300) won't come to x=480 immediately.

Hmm, better idea: use bullet wrapping: fire upward; bullet exits from the top and re-enters from the bottom of the same column. Still column x=480.

The asteroid drifts at about 50px/s; over 10 seconds it moves 500px — likely to cross x=480±50 within the volley window.

Or rotate with a longer press: maybe the tool holds the key during the "motion" action? The motion action captures frames over time — perhaps it can hold? No, motion has no key parameter.

OK, let's do this: repeat [Space, Space, ArrowRight] cycles and monitor score/na/ang. About 4 cycles = 12 calls. Time budget: used about 6 minutes so far? Probably. Remaining budget is fine but let's accelerate: each call is fast.

Cycle 1: Space.

Firing is now deterministic: every Space tap → nb=1 (b0=480,194, life 0.87, moving upward).

Next, rotate right toward the cluster at (1000,250): need ang≈-0.4. Tap ArrowRight until ang≈-0.4..0. Then fire 2-3 times. Each tap is a lottery (about 50%). Tapping now.

Ouch: lives 3→2 — the ship got hit while idle (the flash visible in the screenshot = collision). Wait, but inv should have been -0 (no protection)... the ship is stationary at the center of the screen; an asteroid passed through the center. Hmm, but clearSpawn only runs on respawn. The ship stayed at the center for a long time while I was making calls; an asteroid drifted into it. This is legitimate gameplay, but it makes testing slow (loss of lives). Also, respawn occurred: pos=480,320 ang=-1.50?? After respawn ang=-π/2=-1.57, then +0.07 from this tap's rotation. inv=-0.0?? After respawn invuln=2.5... but dbg shows inv=-0.0 and lives=2 — meaning the collision happened more than 2.5 seconds before this frame, and the ship respawned at that point; then... wait, after respawn inv=2.5 counts down; at this frame inv=-0.0 means 2.5 seconds have passed since respawn. But the flash is visible now (the flash lasts 0.15 seconds)... the flash in the screenshot might be residual? The flash is drawn while flash>0; flash=0.15 is set at collision time; it decays... where does flash decay? I never decrement flash anywhere in update! Look: flash is set on collision/split, but I can't find any `flash-=dt` in update! Check the code: in update... I set flash=0.08 on bullet hit and flash=0.15 on ship hit, but I never decrement it! Draw uses `if(flash>0){ fillStyle alpha flash*3 }` — forever! But previous screenshots weren't white... wait, this screenshot is white/gray! And the earlier one (after lives went 3→1) was also gray! Subsequent screenshots (after inspect) were dark again... hmm, why?

Look: draw() sets flash's alpha but doesn't decrement → once set, the screen stays white forever. But later screenshots were dark. Because... restart()? flash=0 in restart. Hmm, but between the gray screenshot and the next dark screenshot there was no restart.

Wait, actually looking again: the earlier gray screenshot (lives=1) — then the next screenshot (after adding a0 to dbg and reloading) was dark. The reload reset it.

This current gray screenshot: flash was set by the collision about 2.5 seconds ago... and stays white forever → bug confirmed: flash never decays. The reason subsequent screenshots in the previous run were dark was... hmm, in the previous run after the gray screenshot I reloaded. So the bug was hidden.

Fix: in update, decrement flash: flash=Math.max(0,flash-dt).

Also, the idle-death problem: while I'm slowly making tool calls, the ship sitting at the center of the screen gets hit. For testing purposes this is somewhat acceptable, but it consumes lives; the game-over test actually needs this! Good: keep idling → lives 2 → eventually 0 → overlay. Then click RESTART → verify reset. This lets me test game-over + restart.

But first fix the flash decay. Also, maybe make the idle test safer: no problem.

Further confirmation: after respawn, inv protection worked (the ship wasn't immediately re-hit for 2.5 seconds... it was eventually hit again → lives 2).

Current plan:
1. Fix flash decay.
2. Reload.
3. Split test: rotate right (tap until ang≈-0.3), fire 2-3 times toward the cluster; check score/na.
4. Then idle/collide until game-over; verify overlay; click restart; verify reset.
5. Ship wrap: during the split test, tap up a few times to give velocity; sample pos across calls to catch the wrap. Maybe skip the dedicated ship wrap: asteroid wrap is verified; ship uses the same function. But the task explicitly says: "sample the scene and inspect screen wrap when objects cross edges" — objects in general. I have two independent asteroid wrap samples with velocity-consistent arithmetic. Plus bullet wrap? Bullets move 528px in their lifetime; if fired upward from y=320 they exit the top (320→0 is 320px, then 208px remaining wrapping to y=640-208=432...). b0 sample: at fire+0ms y=194... a later sample might catch the wrap: bullet fired at 320 upward: after 0.67s y=0 → wraps to 640 → continues to 432 at end of life. If I sample at the right timing I can catch b0 y>600. Timing is tricky; skip — asteroid wrap is sufficient, plus code sharing.

Actually, I can also cheaply verify ship wrap: after game-over restart, tap up a few times... hmm.

Alternative deterministic ship wrap: thrust is now... no, impossible.

OK, proceed. First, fix flash.

Wait a sec: update() early-returns in the gameOver case — the flash stays fixed during the game-over overlay too. Move the flash decay to before the gameOver check? The overlay covers the screen anyway. But if game-over happens right after a hit, flash remains → behind the overlay (the overlay's background #000a is semi-transparent). Minor issue. Move the decay to the top of update:

Actually, my edit placed it after the collision section, before the particles — but the `if(gameOver) return;` at the top of update skips everything including the decay. Let me move it: put the decay right after `if(gameOver) return;`? Then it decays even during game-over. Adjusting the edit: replace the following

function update(dt){
  if(gameOver) return;

with the following

function update(dt){
  if(flash>0) flash=Math.max(0,flash-dt);
  if(gameOver) return;

and delete the line I added. Two edits.

Reload, then split test. To reduce idle deaths during slow calls... well, whatever, lives=3 gives some margin. If game over happens early, that itself becomes a test of game over, and I can restart and then do the split test.

Sequence after reload: tap ArrowRight until ang≈-0.5..0 (check dbg on each call), then Space, Space; check score/na.

The flash fix is working (dark scene, ship is blinking during invincibility state — only the ring is visible). Asteroids: one at (780,380) is moving; a0=853,156 v=(-51,-17) is heading toward the upper-left, i.e., toward the upper center. The cluster on the right is around (960,200).

Aiming: Target asteroid at (780,380): direction from (480,320): dx=300, dy=60 → ang≈0.2 rad. From -1.57, need about +1.77 rad ≈ 6-7 successful right taps. Too many calls.

Alternative: Wait for an asteroid to align above the center? a0 v=(-51,-17): from (853,156) heading upper-left; will it cross x=480? t=(853-480)/51≈7.3s, y=156-17*7.3≈32 → near the top center. If I fire upward now, the bullet's column is x=480: the bullet reaches y≈32 in (320-32)/480≈0.6s; the asteroid arrives at x=480 in 7.3s. Doesn't match.

Better plan: Fire a burst upward over several calls (bullets repeatedly sweep the column), while the asteroid drifts across the column. a0 crosses x=480±51 in about 2s around t≈7.3s. If I fire a bullet within that window, hit. Calls are about 5-15s apart in real time... unpredictable.

Alternative practical plan: Accept testing the split via medium/small chains? Same difficulty.

Hmm — how about making aim easier: rotate the ship to a fixed angle with a single key? Not in the spec.

What about firing in the direction the asteroid will cross, using bullet wrap: bullet goes up, wraps from below, continues up the same column... column is fixed.

OK, alternative: increase hit probability: fire 12 bullets (max) rapidly upward (12 Space calls? cooldown 0.22s; calls are more than 1s apart so each call fires). 12 bullets over 12 calls, column x=480 sweeps repeatedly; asteroids (4 of them, each about 100px wide) cross x∈[430,530] frequently: each asteroid's |vx| is about 10-80; over 60s of calls, each asteroid crosses the column multiple times, but the bullet only exists in the column for 1.1s per shot. Probability per shot ≈ P(an asteroid is in the column during that 1.1s) ≈ (total time asteroids spend in column per minute)/(60s) ≈ 4 asteroids * (100px / average |vx| 40px/s = 2.5s each per crossing, crossing every ~960/40=24s → duty ≈ 10% each → 40% total) * 1.1s window overlap... roughly P(hit per shot) ≈ 0.4 * (1.1/2.5 adjusted)... let's say about 15-25% per shot. 12 shots → expected hits about 2-3.

But 12 Space calls + checks = many calls. Combine: alternate Space and ArrowRight taps (spread directions) — each call is one or the other; check dbg every time (it's included in all results). About 14 calls total. OK, but time budget: about 8 minutes elapsed? Unclear; total cap 15 minutes. Calls so far about 20. Each call about 5-10s wall time. Probably 4-5 minutes used. About 10 minutes left. 14 calls ≈ 2-3 minutes. OK.

Smarter alternative: aim at the currently nearest asteroid with at most 2 rotation taps, then fire. Current: asteroid at (780,380): ang≈atan2(60,300)=0.2. Need +1.77 rad ≈ 6-7 taps. No good.

Hmm, wait — actually, why not thrust toward the asteroid and ram... no, that loses a life.

Use bullet wrap differently: fire downward? Same column.

OK, go with the burst plan, but bias: also rotate 1 tap between shots to sweep the column angle slightly (spread pattern). Start: Space now (a0 is upper-right heading left; bullet upward from center: column x=480; a0 crosses x=480 at t≈7.3s, y≈32; bullet fired at call time T exists in the column during [T+0, T+1.1] at y from 320→0→wrap 640→432... at t=7.3 the bullet is long gone. Doesn't match.

The (780,380) asteroid: velocity unknown (not a0). From screenshot: previously (739,263)→now (780,380)? That was a0's previous position... confusing.

Just execute the burst: alternate Space, Space, ArrowRight, Space, ArrowRight, Space... and monitor score.

Lives dropped to 1 again while idle (2 hits between calls — the ship parked in the center is a sitting duck; my own call intervals are long, about 10-20 seconds each). This is making verification painful, and honestly it's bad game balance too: an idle ship at the spawn point gets rammed. In real Asteroids too, if you idle you die — that's authentic. But for testing, game over comes quickly, and that's what I need to test anyway. After that, restart and do the split test more actively.

Actually, there's a better way for the split test: after game over and restart, don't leave it idle — but my calls are inherently slow (about 10 seconds each). Hits during idle are unavoidable. Hmm, but wait: why did the ship get hit twice in about 15 seconds both times? 4 asteroids, spawn clearance 160px at wave start... they converge on the center? Not intentionally — random drift. The ship sits exactly at the center for minutes. Over 60 seconds, the probability of an asteroid's path intersecting the center is high. Authentic, but harsh for AFK.

Consideration: Should an idle ship die? In actual play, a human moves. No problem.

Plan: Let it game-over (1 more hit), verify the overlay + restart button, restart, then immediately do the split volley with quick successive calls (Space, Space, Space...) — hits during idle still occur, but with 3 lives there's about 30-45 seconds of grace, enough for about 6-8 shots.

Also, to raise the hit rate: aim upward and fire; but sweep: alternate small rotations. Well, whatever, just fire and pray; monitor score/na in the dbg of each result.

Now, wait for game over: inspect (idle) → probably lives 0 + overlay.

The in-game OVER overlay displays correctly: "GAME OVER", final score, RESTART button. Lives display is empty.

Next, click RESTART and verify the reset (score 0, lives 3, wave 1, na=4, over=false).

Restart works: score 0, lives 3, wave 1, 4 new asteroids, invincibility blinking (ship hidden in this frame, ring displayed).

Next is the split test. There's an asteroid in the upper left (approx 350,230 and approx 330,320). Aim upper-left: ang ≈ atan2(230-320, 350-480) = atan2(-90,-130) ≈ -2.52 rad. Current ang=-1.57. Need -0.95 rad of left rotation ≈ 4 successful left taps (lottery). Or just simply fire upward: bullet column x=480; the upper-left asteroid is moving... a0=9,577 v=(-25,17): heading lower-left. Hmm.

Time check: already made many calls; about 4-5 minutes left? Let's be efficient: max 6-8 calls for split attempt.

Strategy: fire 4 shots upward in quick succession (4 calls), check score/na in each result. The upper-left pair (350,230),(330,320) is drifting; if their x crosses 480±50 while the bullet is in flight... their vx is unknown (not a0). 50/50.

Better approach: first rotate left with 2 taps (aim upper-left), then fire 2 shots. Rotation tap: about 50% chance of success, each 0.27rad.

Or exploit bullet wrap: firing upward also covers the column below after wrap (bullet goes up 528px: from 320 up to 0 (320px), wraps to 640 and goes up to 432... covers y∈[0,320]∪[432,640] at x=480). The lower-left asteroid (approx 140,600) is drifting...

Honestly, the simplest and most robust is: fire many bullets in an upward column while the asteroid crosses. Or rotate right and fire at the right-side asteroid (1020,520): ang=atan2(200,540)=0.355 rad → need +1.93 rad ≈ 7 successful right taps. No good.

Hmm, how about making the test easier without changing gameplay: bullets already inherit ship velocity... no, wrong.

Alternative: verify split logic headlessly in node: extract the script, stub DOM/canvas, simulate: place asteroid directly in bullet's path... but the script is an IIFE with no exports other than __game getter — can I manipulate it? __game exposes keys object and restart, and state getter (read-only). Can't teleport asteroids.

But I can run a node simulation with a modified copy: extract the <script> contents, prepend stubs (document/window/canvas 2d context no-op, requestAnimationFrame manual), then use __game... still can't place asteroids. However, I can simulate frames: set keys[' ']=true via __game.keys, step rAF callback manually with fixed dt, and run until bullet hits something (asteroids move deterministically from seeded random?). With manual frame stepping at dt=1/60 and hold-fire (keys[' '] polling path also exists), bullets fire every 0.22s in all directions? Only upward.

In node I can run long simulations quickly: ship at center firing upward continuously for 60 seconds of simulation time; asteroids drift and wrap; eventually one crosses the column → hit → score>0 and na changes (split). This verifies split/score/wave logic deterministically and quickly! Even better: simulate until all asteroids cleared → wave 2 spawns (na jumps). Continuous upward fire from center: bullets cover column x=480±3; asteroid radius ≥16 → hit when |ax-480|<rad+3. Over 120 seconds of simulation with 4+ wandering asteroids, very likely.

Even better: in node I can cheat: after loading the script with stubs, can I access closures? No. But simulation is enough.

Also, verify in node: ship-asteroid collision → life decrement, invincibility prevention (no immediate re-decrement), game over at 0, restart reset. Simulate: don't move the ship; asteroids eventually hit it; check life decrement and that invincibility provides ≥2s grace (no 2 decrements within 2s). And wave progression on clear.

Let's do the node simulation now — faster and more thorough than browser taps. Canvas stub: getContext returns an object with all methods used: clearRect, save, translate, rotate, beginPath, moveTo, lineTo, closePath, stroke, fillRect, arc, setters for strokeStyle/fillStyle/lineWidth/shadowColor/shadowBlur/globalAlpha, restore. document.getElementById returns stub elements with style, textContent, addEventListener, focus. window = global with addEventListener that captures handlers. performance.now, requestAnimationFrame: capture callback; step manually.

Script uses `window.addEventListener`, `document.getElementById`, `performance.now`, `requestAnimationFrame`, `Math`, `Date.now`. Also `cv.width/height`, `cv.getContext`.

Write harness /tmp/sim.js: load index.html, extract script between <script> and </script>, eval with stubs via new Function('window','document','performance','requestAnimationFrame', src)? Script references bare identifiers: document, window, performance, requestAnimationFrame, Date, Math. Provide as parameters. Also `keys` etc. are internal.

After eval, get hooks: script sets window.__game. Handlers: window.addEventListener stub stores keydown/keyup handlers.

Simulation:
- Step function: cb = stored raf callback; call with t += 16.67ms; loop re-registers each time.
- Fire: call keydown handler with {key:' ', code:'Space', preventDefault(){}} → tryFire per call (event-driven) + hold path: also set keys[' ']=true for auto-fire: simpler: __game.keys[' ']=true → polling fires every 0.22s.
- Run 240 seconds of simulation: track score, na, wave, lives transitions; log events: first score increase (split), na jump (wave), life decrement with timestamp (check invincibility grace: consecutive decrements ≥2s apart... note: invincibility=2.5 prevents hits; decrements should be ≥2.5s apart), game over flag, then call restart via __game.restart() and verify reset.
- Also verify bullet lifetime cap: track max bullet lifetime observed? b.life starts at 1.1 and decreases; nb bounded ≤12 ✓ check.
- Wrap check: track ship? Ship stays at center. Asteroid wrap: log when a0 crosses boundary (position jump >100 between frames) ✓.

Then, final browser sanity check: screenshot of gameplay firing (already have), done.

Write the harness.

Run the simulation right now to verify the logic, then wrap it up.

The simulation verified the core game logic:
- score>0 on hit (score=20, wave 1, na=5) ✓
- Life decrease has a grace interval (70.1, 127.1, 174.2 — intervals ≥2.4s = invincibility period) ✓
- gameOver at lives 0 ✓
- Restart resets (score 0, lives 3, wave 1, na 4, invincibility 2.5) ✓
- Rotation/thrust accumulate while held; momentum is preserved while coasting ✓
- Ship wrap observed ✓
- Bullet lifetime cap: maxBullets 5, no lifetime exceedance events ✓

Everything looks fine. Next, finalize: verify the existence of index.html and the script references, and wrap up.

index.html is in /tmp/job-raY5W8, not /tmp. I'll check it there.

index.html exists in the current working directory, no external URLs, no src attributes — completely self-contained.

Final browser sanity check: reload once more and confirm there are no console errors and that the scene renders (the last reload was already clean; the console only shows sandbox iframe warnings from the harness, not from my own code). Already confirmed: the console only shows "warning: An iframe which has both allow-scripts..." — this is from the harness, not from my page.

Done. Reporting.