[new extension] Complex Number

[Skyhigh173]

Complex Number Extension

Contains these blocks:

support these functions:

• 'abs','arg','neg','inv','muli','sign','exp','ln','log10','log2','square','sqrt','cbrt','iabs','conjg'
• 'sin','cos','tan','arcsin','arccos','arctan','sinh','cosh','tanh','coth','sech','csch'
• 're','im'
• gamma function (factorial)

Btw since it uses regex a lot, so I have to find a better algorithm for parsing complex numbers

[qxsck]

good

[Skyhigh173]

I forgot to add factorial 😱

[ghost]

This would be cool for displaying 2d graphs!

[Skyhigh173]

This would be cool for displaying 2d graphs!

I posted it in discord for example (graph of ln(z))

[ghost]

Wait... does that mean I can make the Mandelbrot Set?!

[Skyhigh173]

Wait... does that mean I can make the Mandelbrot Set?!

Yes, ofc!
I have tested it by using formula (z^2+c) and it works

[Skyhigh173]

Wait... does that mean I can make the Mandelbrot Set?!

[Flappy25]

Wow!

[penta-quark-neutro]

Wow, I had been building an extension on this topic, except for the quaternions.
Let me tell you that your extension is excellent.

[Skyhigh173]

new modes

I will add more output modes :

• normal string (1-i, 2.3+4.5i)
• raw string (!1|2, !3.4|-3)
• JSON ({"r":3,"i":5})
  to boost performance if you use them often (eg you can use 'raw str' to avoid regex)
  You can use to string block to convert them to normal string
  

Result (for rendering high quality Mandelbrot set)

• string: 32.677s
• raw string: 9.771s
• JSON: 7.45s

still missing:

- conjg function
- iabs function (iabs(a+bi) = abs(a) + abs(b)i)
(Completed)

[Skyhigh173]

closed because waited too long + the code is a completely mess. It could be improved on.