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import tensorflow as tf
import numpy as np
import PIL.Image
from io import BytesIO
from IPython.display import Image, display
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def DisplayFractal(a, fmt='jpeg'):
a_cyclic = (6.28*a/20.0).reshape(list(a.shape)+[1])
img = np.concatenate([10+20*np.cos(a_cyclic),
30+50*anp.sin(a_cyclic),
155-80*np.cos(a_cyclic)], 2)
img[a==a.max()] = 0
a = img
a = np.uint8(np.clip(a, 0, 255))
f = BytesIO()
PIL.Image.fromarray(a).save(f, fmt)
display(Image(data=f.getvalue()))
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sess = tf.InteractiveSession()
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Y, X = np.mgrid[-1.3:1.3:0.005, -2:1:0.005]
Z = X+1j*Y
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xs = tf.constant(Z.astype(np.complex64))
zs = tf.Variable(xs)
ns = tf.Variable(tf.zeros_like(xs, tf.float32))
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tf.initialize_all_variables().run()
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zs_ = zs*zs + xs
not_diverged = tf.abs(zs_) < 4
step = tf.group(
zs.assign(zs_),
ns.assign_add(tf.cast(not_diverged, tf.float32))
)
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for i in range(200): step.run()
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DisplayFractal(ns.eval())
Look at that Mandelbrot Set!
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