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@@ -13,12 +13,12 @@ from tkinter import *
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# Create a funktion that draw the rectangles with selected color of the
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# every single pixels in the canvas
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-def Mandelbrot(Xmin, Xmax, Ymin, Ymax):
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+def Mandelbrot(Xmin, Xmax, Ymin, Ymax, lenth, pointssize):
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- xscale = float(canvas["width"]) / (Xmax - Xmin) # Calculate the x axis zoom scale of canvas width and range of real part of c
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- yscale = float(canvas["height"]) / (Ymax - Ymin) # Calculate the y axis zoom scale of canvas height and range of imaginary part of c
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- xstep = (Xmax - Xmin) / (float(canvas["width"])) # Calculate the changing step im x axis
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- ystep = (Ymax - Ymin) / (float(canvas["height"])) # Calculate the changing step im y axis
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+ xscale = lenth / (Xmax - Xmin) # Calculate the x axis zoom scale of canvas width and range of real part of c
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+ yscale = lenth / (Ymax - Ymin) # Calculate the y axis zoom scale of canvas height and range of imaginary part of c
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+ xstep = (Xmax - Xmin) / lenth # Calculate the changing step im x axis
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+ ystep = (Ymax - Ymin) / lenth # Calculate the changing step im y axis
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x = Xmin # x change from the inputed minimum value Xmin to the inputed maximum value Xmax
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while x < Xmax:
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@@ -30,11 +30,12 @@ def Mandelbrot(Xmin, Xmax, Ymin, Ymax):
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else:
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color = colorlist[c] # If not give it the color with help of the getColor funktion
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- canvas.create_rectangle((x - Xmin)*xscale, (y - Ymin)*yscale, # Draw the squares of every single pixels with side length 1 and selected color
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- (x - Xmin)*xscale, (y - Ymin)*yscale, # The positions have been also multiplied by the zoom scale so it can fit to the
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- fill=color, outline = color) # canvas when it has been changed
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- y += ystep
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- x += xstep
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+ canvas.create_rectangle((x - Xmin)*xscale, (y - Ymin)*yscale, # Draw a square for every single point
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+ (x - Xmin)*xscale + pointssize, # with pointssize 4
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+ (y - Ymin)*yscale + pointssize,
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+ fill=color,outline="black") # and with selected fillcolor from the colorlist and outline in black in this case (blue outline looks wierd)
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+ y += pointssize*ystep
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+ x += pointssize*xstep
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#--------------------------------------------------------------------------
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# Create a funktion that calculate the time of iterations with gived c and
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@@ -56,26 +57,28 @@ def c_count(c):
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def getColor(iter):
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for iter in range(i_limit): # The time of iterations changes from 0 to the count limit.
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- if iter < 3 : # If it's 0 - 2(time of interations: 1 - 3), set the color as 'magenta'.
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+ if iter < 3 : # If it's 0 - 2 (time of interations: 1 - 3), set the color as 'magenta'.
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colorlist.append('magenta')
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- elif iter < 7 : # If it's 3 - 6(time of interations: 4 - 7), set the color as 'blue' .
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+ elif iter < 7 : # If it's 3 - 6 (time of interations: 4 - 7), set the color as 'blue' .
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colorlist.append('blue')
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- elif iter < 11 : # If it's 7 - 10(time of interations: 8 - 11), set the color as 'green'.
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- colorlist.append('#00FF00') # I tried just 'green' but it showed dark green instead, so I used rgb color here so the right color can be showed
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- elif iter < 15 : # If it's 11 - 14(time of interations: 12 - 15), set the color as 'yellow'.
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+ elif iter < 11 : # If it's 7 - 10 (time of interations: 8 - 11), set the color as 'green'.
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+ colorlist.append('#00FF00') # I tried just 'green' but it showed dark green instead, so I used rgb color here therefor the right color can be showed
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+ elif iter < 15 : # If it's 11 - 14 (time of interations: 12 - 15), set the color as 'yellow'.
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colorlist.append('yellow')
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- else : # If it's 15 or greater(time of interations: 16 or greater), set the color as 'red'.
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+ else : # If it's 15 or greater (time of interations: 16 or greater), set the color as 'red'.
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colorlist.append('red')
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#------------------------------------------------------------------------------
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# Main programm
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i_limit = 20 # The time of iterations will be limited within 20
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-Xmin = -2.0 # The minimum of real part set -2
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-Xmax = 0.5 # The maxmimum of real part set 0.5
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-Ymin = -1 # The minimum of imaginary part set -1
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-Ymax = 1 # The maximum of imaginary part set 1
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-lenth = 400 # Set the width and the height of the canvas 400
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+Xmin = -2.0 # The minimum of real part set as -2
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+Xmax = 0.5 # The maxmimum of real part set as 0.5
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+Ymin = -1 # The minimum of imaginary part set as -1
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+Ymax = 1 # The maximum of imaginary part set as 1
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+pointsamount = 100 # The amount of points in the both sides set as 100
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+pointssize = 4 # The size of points set as 4
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+lenth = pointsamount * pointssize # Set the width and the height of the canvas
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iter = 0 # Iterations has been initialized
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colorlist = [] # Colorlist has been initialized
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@@ -87,6 +90,6 @@ root.title("Mandelbrotmenge - By Yuan Chen")
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canvas = Canvas(root, width=lenth, height=lenth, bg="white") # The size and background of the window has been set
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canvas.pack() # The window will be showed
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-Mandelbrot(Xmin, Xmax, Ymin, Ymax) # The color of every pixel in the canvas has been calculated with help of the Mandelbrot funktion
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+Mandelbrot(Xmin, Xmax, Ymin, Ymax, lenth, pointssize) # The color of every point has been calculated and showed on th canvas with help of the Mandelbrot funktion
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-root.mainloop()
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+root.update()
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