Sergey B Kirpichev
34 lines
699 B
Python
34 lines
699 B
Python
"""
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This script uses the cplot function in mpmath to plot the Mandelbrot set.
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By default, the fp context is used for speed. The mp context could be used
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to improve accuracy at extremely high zoom levels.
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"""
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import mpmath
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ctx = mpmath.fp
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# ctx = mpmath.mp
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ITERATIONS = 50
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POINTS = 100000
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ESCAPE_RADIUS = 8
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# Full plot
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RE = [-2.5, 1.5]
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IM = [-1.5, 1.5]
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# A pretty subplot
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#RE = [-0.96, -0.80]
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#IM = [-0.35, -0.2]
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def mandelbrot(z):
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c = z
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for i in range(ITERATIONS):
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zprev = z
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z = z*z + c
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if abs(z) > ESCAPE_RADIUS:
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return ctx.exp(1j*(i + 1 - ctx.log(ctx.log(abs(z)))/ctx.log(2)))
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return 0
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ctx.cplot(mandelbrot, RE, IM, points=POINTS, verbose=1)
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