"Clowns to the left of me,
Jokers to the right,
Here I am stuck in the middle with you" (Stealers Wheel)
it appears to me by wanting to reference the problem to something fundamental (x-axis, y-axis,...), the solution hides in plain sight...
the bigger picture:
with a tiny bit more developped programming skills, than those required to "make the screen say hello world"
with mathematical skills, well lets just say I was humbled by a rabbit...
i want to write a program...
of cource there is no such thing as human error, which leaves me in a tight spot, since I would be the one to write the program:
(a scalable fourier transform)
a hint from the cpu manual suggests that under the hood a cordic algorythm is used to provide for a sin/cos function
the goofing around with desmos x^2 vs sin x was just to get an idea of the penalty in accuracy it would suffer if x^2 would be used in stead of a proper sin(x) function
the taylor series :
[math]\cos\left(x\right)=1-\frac{x^{2}}{2!}+\frac{x^{4}}{4!}-...[/math]awfully looks like (rabbit snippet):
[math]y=-\cos\left(\frac{x}{2}\right)+1[/math](i am an idiot)
even a bit as (monster snippet):
[math]4854321355161000\pi^{32}+296652971704320\pi^{34}+11611416821760\pi^{36}[/math]but then googling the 69672960 constant, pointing to (see attached), i kept a copy for a rainy day
thanks "Mario Ramanujan"
let the thread die in peace