Quick answer: Guard the zero-length and zero-time cases explicitly, use math.hypot and early-outs in normalize helpers, and define sensible behavior for the degenerate case instead of just avoiding the crash.
Vector normalization divides by length, and the moment two entities occupy the same pixel, length is zero. The crash is easy; deciding what SHOULD happen is the real fix. Here is the pattern.
How to fix it
1. Write one safe normalize
def norm(dx, dy):
d = math.hypot(dx, dy)
if d < 1e-9: return (0.0, 0.0)
return (dx / d, dy / d) — and route every direction calculation through it.
2. Decide the degenerate behavior
Zero direction returning (0,0) means 'stand still'; some designs prefer a random nudge so stacked enemies unstick — make it a choice, not an accident.
3. Guard time deltas
First-frame dt, paused clocks, and clock resets produce zero elapsed time — if dt <= 0: return in updates that divide by it.
4. Check aggregate math
Accuracy percentages (hits/shots) and averages (total/count) need the empty case handled at the display layer — 'N/A' beats a crash on a fresh save.
Catching the ones you can't reproduce
The hardest version of this to fix is the one you can't reproduce — it only happens on a player's hardware, OS, driver, or save state, under conditions that simply aren't present on your machine. A report that says “it crashed” or “it froze” gives you nothing to act on, so the bug survives release after release while quietly costing you players.
Automatic error capture closes that gap. Each failure arrives with its full stack trace, the device and OS, the build number, and a breadcrumb trail of what the player did right before it broke, so even a failure you have never seen becomes a specific, reproducible issue. Fold identical failures into one signature ranked by how many players each hits, and your worklist sorts itself worst-first instead of arriving as a stream of vague complaints.
This is where a tool like Bugnet earns its place. Its SDK captures every Pygame error automatically with the full stack trace plus device, OS, memory, build, and game-state context, folds duplicates into one grouped issue with an occurrence count, and ties each to the build it first appeared on — so you fix the problem that hurts the most players first and confirm it is gone when its signature disappears from the next release.
The bug you can't reproduce isn't gone — it's just invisible until you capture it from the player's device.