PiJohn & MegaMan8
I’ve been curious about the math behind pixel‑perfect motion—how do you model a character’s movement so every frame lands exactly where it should?
It’s all about keeping the math tight and the code clean.
First, you lock the game to a fixed frame rate, so every tick is predictable.
Then you store position as sub‑pixel integers or floats and update it with a fixed acceleration or velocity each tick.
After the update you round the final position to the nearest pixel before drawing – that’s the pixel‑perfect snap.
Use a consistent gravity, friction, and input response curve; tweak the values until the motion feels natural and the frames line up.
Finally, run a sanity check: trace a few frames in a debugger and make sure the position never slips off by a fraction of a pixel. That’s how I keep every pixel on point.