Add sqrt function

[GlitchlessCode]

The Suggestion

Add a square root function (√x) to the set of functions

Implementation description

• Uses a recursive method to approximate the square root of macro $(x)
• This implementation is fast, reads and writes as little as I could implement, and is precise to several decimal points.
• Ensured same formatting and error checking to the original codebase
• Updated README to add gm:sqrt to list of functions

[gibbsly]

woah, impressive thanks! I gave up on trying to implement this

[GlitchlessCode]

By the way, I ran some test data:

$(x) missing

fail (Correct)

$(x) < 0

fail (Correct)

typeof $(x) !== number

fail (Correct)

$(x) == 0

~0.0f (Correct) (This one was very slightly bigger than 0, but only after a lot zeros. It's effectively equivalent to 0)

$(x) == 0.25f

~0.5f (Correct)

$(x) == 1.0f

~1.0f (Correct)

$(x) == 2.0f

~1.4142135f (Correct) aka ~√2 (Correct)

$(x) == 64.0f

8.0f (Correct)

[GlitchlessCode]

woah, impressive thanks! I gave up on trying to implement this

Ha, thanks. It's not my own algorithm, it's just one of the more common ones out there, but I just figured out how to implement it in MC, that's all

[gibbsly]

still more than I could figure out, I was mostly unmotivated because I only needed it to calculate distance and that has its own operation

[GlitchlessCode]

still more than I could figure out, I was mostly unmotivated because I only needed it to calculate distance and that has its own operation

Fair. I'm personally planning to implement arcsin, arccos and arctan, which is why I wanted the sqrt, cause I couldn't find a simple solution for the inverse trigs that didn't use sqrt, or vice versa.

Which is why we have to settle for an approximation, but it's still very accurate at least.

[gibbsly]

I see, I think you have more ambitions for this repo than I do, I just did the operations I need accurate outputs for, I'll absolutely merge any ops you add though