3 ms·

> We represent angles as a int16_t or uint16_t where you can add and subtract angles and never have to worry about a discontinuity at 2pi because 2pi=65536. No

• Sean1708 9y ago
  It's basically fixed-point arithmetic[0] applied to base tau. So any integer value x that your computer is actually storing is conceptually the value 2 * pi * x / 65536. [0]: https://en.wikipedia.org/wiki/Fixed-point_arithmetic https://en.wikipedia.org/wiki/Fixed-point_arithmetic
• mattkrause 9y ago
  You don’t use the value directly. Instead, divide the circle up so that there are 65535 steps around the unit circle between [0, 2*pi) and use these units instead of degrees or radians. This makes integer overflow and wrapping around the circle correspond: going a quarter way around the circle five times, adds up to 90 degrees, rather than 450.
  • badpun 9y ago
    This is pretty awesome little trick, thanks!