multibrot.py

WIDTH = 960
HEIGHT = 960
MAX_ITERS = 200

MIN_X = -2.0
MAX_X = 0.6
MIN_Y = -1.5
MAX_Y = 1.5


def mandelbrot_kernel(c):
    z = c
    for i in range(MAX_ITERS):
        z = z * z + c  # Change this for different Multibrot sets (e.g., 2 for Mandelbrot)
        if z.real * z.real + z.imag * z.imag > 4:
            return i
    return MAX_ITERS


def compute_mandelbrot():
    t = [[0 for _ in range(WIDTH)] for _ in range(HEIGHT)] # Pixel matrix
    dx = (MAX_X - MIN_X) / WIDTH
    dy = (MAX_Y - MIN_Y) / HEIGHT
    for row in range(HEIGHT):
        for col in range(WIDTH):
            t[row][col] = mandelbrot_kernel(complex(MIN_X + col * dx, MIN_Y + row * dy))
    return t


compute_mandelbrot()


# def show_plot(tensor):
#     import matplotlib.pyplot as plt
#     from matplotlib import colors
#     import numpy as np

#     WIDTH = 960
#     HEIGHT = 960
#     MAX_ITERS = 200

#     SCALE = 10
#     DPI = 64

#     numpy_array = np.zeros((HEIGHT, WIDTH), np.float64)

#     for row in range(HEIGHT):
#         for col in range(WIDTH):
#             numpy_array.itemset((col, row), tensor[col][row])

#     fig = plt.figure(1, [SCALE, SCALE * HEIGHT // WIDTH], DPI)
#     ax = fig.add_axes((0.0, 0.0, 1.0, 1.0))
#     light = colors.LightSource(315, 10, 0, 1, 1, 0)

#     image = light.shade(numpy_array, plt.cm.hot, colors.PowerNorm(0.3), "hsv", 0, 0, 1.5)
#     plt.imshow(image)
#     plt.axis("off")
#     plt.savefig("multibrot.py.png")
#     plt.show()


# mandelbrot = compute_mandelbrot()
# show_plot(mandelbrot)