2 ms·
Very bold title! Turns are very convenient until you need to calculate a rate of change, as of course d/dx sin(2pi x) = 2pi cos(2pi x). Unfortunately this is a
by traes 3mo ago
Very bold title! Turns are very convenient until you need to calculate a rate of change, as of course d/dx sin(2pi x) = 2pi cos(2pi x). Unfortunately this is a common enough problem that I will be sticking with the radian.
- deleted 3mo ago[deleted]
- HWR_14 3mo agoI feel like that approximates how I learned math. In geometry or trig you can use degrees or turns or any other unit, but almost never radians because that's harder write. As soon as you learn calculus, you switch to radians and never go back.
- dhosek 3mo agoIt depends on your context, and is mentioned in the article. The advantage of turns comes from the fact that the implementation of sinᵣ etc. is internally doing a conversion to turns, so by using sin_turns directly, you avoid calculating π/π with every call. It’s not a call for someone doing calculus or solving differential equations to abandon radians, just for the particular case of getting a numerical value for sin, cos, etc. from a library, having direct access to a turns-based function would produce faster code and also avoid some of the rounding errors that come from that π/π not to mention the imprecision of any angle that isn’t 0.
- itemize123 3mo agobut surely u differentiate by turns?