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import gradio as gr
from numpy import *
from fractal_generator import FractalGenerator
TITLE = "Fractal Generator"
DESCRIPTION = "<center>Create your own fractal art!</center>"
EXAMPLES = [
["Julia", "sin(z**12 + cos(0.7*z**12) + 1.41)"],
["Julia", "sin(z**6 + cos(0.7*z**6) + tan(z**3) + 1.41)"],
["Julia", "sin(z**7 + cos(z**5) + tanh(z**3) + 0.61)"],
["Julia", "sin(arcsin(z**7) + arccos(z**5) + arctan(z**3) + 0.61)"],
["Julia", "sin(arccos(z**3 - z**2 + z)+ 0.61)"],
["Julia", "log(arccos(z**3 - z**2 + z)+ 0.61)"],
["Julia", "sin(z**4 + 3.41)*exp(2.5*1J)"],
["Julia", "cos(cosh(z**3) - sinh(z**2) + tanh(z**4))**2"],
]
ARTICLE = r"""<center>
This application uses Julia and Mandelbrot fractal algorithms.
These plots show the convergence plot for infinitely composed complex functions <br>
These functions are based on artist-defined generating functions $f(z)$ with $z /in /mathbb{C}$ as follows<br>
$$ F(z) = /prod^{/inf} f(z) $$<br>
Done by dr. Gabriel Lopez<br>
For more please visit: <a href='https://sites.google.com/view/dr-gabriel-lopez/home'>My Page</a><br>
</center>"""
# interactive function
def plot_fractal(fractal_type: str, python_function: str):
frac = FractalGenerator(n=500, max_iter=10)
if fractal_type == "Julia":
frac.create_julia(lambda z: eval(python_function))
elif fractal_type == "Mandelbrot":
frac.create_mandelbrot()
else:
print("Current wrong option: ", fractal_type)
return frac.plot()
# gradio frontend elements
in_dropdown = gr.Dropdown(
choices=["Julia", "Mandelbrot"], label="Select a type of fractal:", value="Julia"
)
in_text = gr.Textbox(
value="sin(z**4 + 1.41)",
label="Enter function using $z$ as complex-variable. You can use all numpy functions. 1J = /sqrt{-1}",
placeholder="your own z function",
lines=4,
)
out_plot = gr.Plot(label="Fractal plot")
# gradio interface
gr.Interface(
inputs=[in_dropdown, in_text],
outputs=out_plot,
fn=plot_fractal,
examples=EXAMPLES,
title=TITLE,
description=DESCRIPTION,
article=ARTICLE,
).launch()
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