Created
November 16, 2012 20:37
-
-
Save ChrisBeaumont/4090682 to your computer and use it in GitHub Desktop.
interactive Mandelbrot numba example
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
"""From the numba examples | |
(https://github.com/numba/numba/blob/master/examples/mandel.py), | |
but tweaked to recalculate on the fly as the viewport changes""" | |
from numba import autojit | |
import numpy as np | |
from pylab import imshow, jet, show, ion | |
import matplotlib.pyplot as plt | |
from matplotlib import rcParams | |
rcParams['image.origin'] = 'lower' | |
@autojit | |
def mandel(x, y, max_iters): | |
""" | |
Given the real and imaginary parts of a complex number, | |
determine if it is a candidate for membership in the Mandelbrot | |
set given a fixed number of iterations. | |
""" | |
i = 0 | |
c = complex(x,y) | |
z = 0.0j | |
for i in range(max_iters): | |
z = z*z + c | |
if (z.real*z.real + z.imag*z.imag) >= 4: | |
return i | |
return 255 | |
@autojit | |
def create_fractal(min_x, max_x, min_y, max_y, image, iters): | |
height = image.shape[0] | |
width = image.shape[1] | |
pixel_size_x = (max_x - min_x) / width | |
pixel_size_y = (max_y - min_y) / height | |
for x in range(width): | |
real = min_x + x * pixel_size_x | |
for y in range(height): | |
imag = min_y + y * pixel_size_y | |
color = mandel(real, imag, iters) | |
image[y, x] = color | |
return image | |
def update_axes(ax): | |
xlim = ax.get_xlim() | |
ylim = ax.get_ylim() | |
trans = ax.transAxes | |
ext = trans.transform([[1, 1]]) - trans.transform([[0, 0]]) | |
nx = ext[0, 0] | |
ny = ext[0, 1] | |
image = np.zeros((ny, nx), dtype=np.uint8) | |
create_fractal(xlim[0], xlim[1], ylim[0], ylim[1], image, 255) | |
ax.clear() | |
ax.imshow(image, extent=[xlim[0], xlim[1], ylim[0], ylim[1]], zorder=0) | |
ax.figure.canvas.draw() | |
image = np.zeros((500, 750), dtype=np.uint8) | |
artist = plt.imshow(create_fractal(-2.0, 1.0, -1.0, 1.0, image, 255), | |
extent=[-2.0, 1.0, -1.0, 1.0]) | |
ax = plt.gca() | |
ax.figure.canvas.mpl_connect('button_release_event', lambda x: update_axes(ax)) | |
ax.set_title('Zoom in') | |
plt.show() |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
@petrushy You probably have 'image.origin = upper' somewhere in your matplotlibrc file (or maybe that's the default, and it's overridden to lower in mine). Anyways, I think the new version should resolve that problem.