40 lines
1.6 KiB
Python
40 lines
1.6 KiB
Python
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# -*- coding: utf-8 -*-
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"""
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Created on Sun Nov 29 14:43:17 2020
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Höhere Mathematik 1, Serie 11, Aufgabe 3 (Gerüst)
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@author: knaa
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"""
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import numpy as np
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import matplotlib.pyplot as plt
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detail = 1000 #number of pixels in x and y direction
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maxit = 70 #maximum n for iterations
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x_min = """???""" #minimim value of x-interval
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x_max = """???""" #maximum value of x-interval
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y_min = """???""" #minimim vale of y-interval
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y_max ="""???""" #minimim vale of y-interval
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a = np.linspace("""???""",detail,dtype=np.float64) #define real axis [x_min,x_max]
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b = np.linspace("""???""",detail,dtype=np.float64) #define imaginary axis [y_min,y_max]
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B = np.zeros((detail,detail)) #for color valzues n
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[x,y] = np.meshgrid("""???""") #to create the complex plane with the axes defined by a and b
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C = x+y*1j #creating the plane
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Z = np.zeros("""???""", np.complex64) #initial conditions (first iteration), Z has same dimension as C
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for n in np.arange(1,maxit+1): #start iteration
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Z = """???""" #calculating Z
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expl = np.where("""???""") #finding exploded values (i.e. with an absolute value > 2)
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Z[expl] = 0 #removing from iteration
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C[expl] = 0 #removing from plane
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B[expl] = """???""" #saving color value n
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plt.figure(1)
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B = B/np.max(np.max(B)) #deviding by max value for correct color
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plt.imshow(B,extent=[x_min,x_max,y_min,y_max],origin='lower',interpolation='bilinear') #display image
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