> they insist on converting every binary angle to [] degrees
Bit of hypocrisy there, since degrees are literally the same thing, just with 360 sectors rather than (say) 256. Though the extra factors of 3 and 5 are sometimes useful.
Bit of hypocrisy there, since degrees are literally the same thing, just with 360 sectors rather than (say) 256. Though the extra factors of 3 and 5 are sometimes useful.
I think this is another good example where a binary representation (and a shift) can be a more natural way to approach the problem.
As a quick example, if you're writing a numerical approximation or even just a LUT for sin(x), you can get away with only approximating/storing values for a reduced range by using some bit twiddling. The top bit becomes sign of output if you XOR it out first, the next bit lets you take advantage of sin(pi/2-x) = sin(x+pi/2) to half the input range again, eek out symmetry for the next bit and you can nearly approximate sin(x) as a linear function for some use cases.