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# Creates two identical panels. Zooming in on the right panel will show
# a rectangle in the first panel, denoting the zoomed region.
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.patches import Rectangle
# We just subclass Rectangle so that it can be called with an Axes
# instance, causing the rectangle to update its shape to match the
# bounds of the Axes
class UpdatingRect(Rectangle):
def __call__(self, ax):
self.set_bounds(*ax.viewLim.bounds)
ax.figure.canvas.draw_idle()
# A class that will regenerate a fractal set as we zoom in, so that you
# can actually see the increasing detail. A box in the left panel will show
# the area to which we are zoomed.
class MandlebrotDisplay(object):
def __init__(self, h=500, w=500, niter=50, radius=2., power=2):
self.height = h
self.width = w
self.niter = niter
self.radius = radius
self.power = power
def __call__(self, xstart, xend, ystart, yend):
self.x = np.linspace(xstart, xend, self.width)
self.y = np.linspace(ystart, yend, self.height).reshape(-1,1)
c = self.x + 1.0j * self.y
threshold_time = np.zeros((self.height, self.width))
z = np.zeros(threshold_time.shape, dtype=np.complex)
mask = np.ones(threshold_time.shape, dtype=np.bool)
for i in xrange(self.niter):
z[mask] = z[mask]**self.power + c[mask]
mask = (np.abs(z) < self.radius)
threshold_time += mask
return threshold_time
def ax_update(self, ax):
ax.set_autoscale_on(False) # Otherwise, infinite loop
#Get the number of points from the number of pixels in the window
dims = ax.axesPatch.get_window_extent().bounds
self.width = int(dims[2] + 0.5)
self.height = int(dims[2] + 0.5)
#Get the range for the new area
xstart,ystart,xdelta,ydelta = ax.viewLim.bounds
xend = xstart + xdelta
yend = ystart + ydelta
# Update the image object with our new data and extent
im = ax.images[-1]
im.set_data(self.__call__(xstart, xend, ystart, yend))
im.set_extent((xstart, xend, ystart, yend))
ax.figure.canvas.draw_idle()
md = MandlebrotDisplay()
Z = md(-2., 0.5, -1.25, 1.25)
fig = plt.figure()
ax1 = fig.add_subplot(1, 2, 1)
ax1.imshow(Z, origin='lower', extent=(md.x.min(), md.x.max(), md.y.min(), md.y.max()))
ax2 = fig.add_subplot(1, 2, 2)
ax2.imshow(Z, origin='lower', extent=(md.x.min(), md.x.max(), md.y.min(), md.y.max()))
rect = UpdatingRect([0, 0], 0, 0, facecolor='None', edgecolor='black')
rect.set_bounds(*ax2.viewLim.bounds)
ax1.add_patch(rect)
# Connect for changing the view limits
ax2.callbacks.connect('xlim_changed', rect)
ax2.callbacks.connect('ylim_changed', rect)
ax2.callbacks.connect('xlim_changed', md.ax_update)
ax2.callbacks.connect('ylim_changed', md.ax_update)
plt.show()
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