Re: Radians Or Degrees?

On 3/15/2024 2:16 PM, Keith Thompson wrote:

"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:

On 3/15/2024 3:23 AM, Terje Mathisen wrote:

Michael, I for the main part agree with you here, i.e. calculating
sin(x) with x larger than 2^53 or so, is almost certainly stupid.

[...]
>
;^D tooooooo big. :^)
>
Now, wrt the results, arbitrary precision for trig is useful, in
say... Deep fractal zooms...
>
Zooming in really deep in say something like this, well the precision
of trig can become an issue:
>
https://paulbourke.net/fractals/multijulia/
>
Trig would be used, say, in rectangular to-from polar forms wrt
getting the n-ary roots of a complex number?

 I can see how computing sin(x) with high precision for "reasonable"
values of x would be useful, but does any of that benefit from being
able to compute sin(2^53) accurately?

Nope. :^) Fwiw, my fractals deal with zooming in and the numbers comprising their initial state is tiny compared to 2^53. For instance take these initial states for my multijulia fractal:
____________
c0 = {0.5,0.0}, c1 = {-5.5,0.0}
c0 = {0.0,1.0}, c1 = {0.0,-1.0}
c0 = {0.726514,0.240242}, c1 = {0.171039,0.235043}
c0 = {-1.444991,0.139179}, c1 = {-0.063294,-1.401774}
c0 = {1,0}, c1 = {-1,0}
c0 = {-.75, .06 }, c1 = {-.45, .6 }
c0 = {-1,0}, c1 = {1,0}, c2 = {0,-1}, c3 = {0,1}
____________
Notice how the numbers are small? However, if we zoom in enough, then 2^53 might become an issue..

 (Since I'm posting to
comp.lang.c, I'll mention that "^" is meant to be exponentation, not
bitwise xor.)
 

Indeed.