# tk_mandelbrot_autozoom.py

# tk_mandelbrot_autozoom.py

# just further code experimenting

from tkinter import *
from random import choice
import math

ww = 200
hh = 200
w0 = ww // 2
h0 = hh // 2

root = Tk()
canvas = Canvas(root, width=ww, height=hh)
canvas.pack()

def mandelbrot(c):
    z = 0
    for i in range(20):
        z = z**2 + c
        if abs(z) > 2:
            return i
    return 20

def renderMandelbrot(xmin, xmax, ymin, ymax):
    canvas.delete('all')
    for x in range(ww):
        p = 0
        for y in range(hh):
            c = complex(x / ww * (xmax - xmin) + xmin, y / hh * (ymax - ymin) + ymin)
            try:
                val = val_dict[c]
            except:
                val = mandelbrot(c)
                val_dict[c] = val
            val = (val**3) % 256
            if val > 180 and p == 0:
                target.append((x, y))
                p = val
            color = f'#00{val:02x}00'
            canvas.create_line(x, y, x+1, y+1, fill=color)
    canvas.update()

xmin = -2
xmax = 2
ymin = -2
ymax = 2
x_center = -0.8
y_center = 0
x = x_center
y = y_center
val_dict = {}

i = 0.9
while 1:
    i += 0.1
    zoom = math.exp(i / 20 * 5)
    x_range = (xmax - xmin) / zoom
    y_range = (ymax - ymin) / zoom

    xmin = x_center - x_range / 2
    xmax = x_center + x_range / 2
    ymin = y_center - y_range / 2
    ymax = y_center + y_range / 2

    target = []
    renderMandelbrot(xmin, xmax, ymin, ymax)
    if 10 < len(target) < 180:
        x, y = choice(target)
    else:
        x = ww*0.6 if x_center < 0 else ww*0.4
        y = hh*0.6 if y_center < 0 else hh*0.4
        i -= 0.025
    x_center = x / ww * (xmax - xmin) + xmin
    y_center = y / hh * (ymax - ymin) + ymin