🧮 How To Write Fast Game Engine Math

Text Version Are you in a linear space? YES: Congratulations, things are easy and fast! Task Complete. No: GOTO 2. Can you easily get into one? YES: GOTO 1. NO: GOTO 3. Can you pretend the space is linear? YES: GOTO 1. NO: Zoom in on the graph. GOTO 3. Following these steps results in apparent black magic such as replacing inverse square roots with -0.5*x + 1.5, or replacing the quaternion log/exponent with truncation/extension of the imaginary component.I’ve been taking this approach while working on my math libraries mr_tween and mr_geom over the past few days so that I can add a damped spring transform to my game. This sort of math typically takes me a while, but understanding how things actually work always seems to pay off in the long run.Read more...