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from pyprocessing import *
# The four points of the box on the argand plane I want to look at
# Screen is 800x600 or 4x3 in proportion so
x_min = -3
x_max = x_min + 4
y_min = -1.5
y_max = y_min + 3
def mandel(c):
"""
Returns true if complex number is in mandelbrot set.
The mandelbrot set is drawn by looking at a number 'c' in the
argand plane (2d space where x=real numbers, y=imaginary) and
testing by function z=z**2 + c where z starts at zero. If after
number of iterations z remains close to c than c is a stable
number and is a member, if z increases infinitely it is not a
member.
http://prezjordan.tumblr.com/post/277984651/mandelbrot-set-in-python
"""
z=0
for h in range(0,20):
z = z**2 + c
if abs(z) > 2:
break
if abs(z) >= 2:
return (False, h)
else:
return (True, None)
def setup():
size(800,600) # create a window
smooth() # turn on anti-aliasing
noLoop() # don't call the draw function repeatedly
def mouseClicked():
"""When you click - center the viewport on the click and the box
should be 80% as large as current box."""
global x_min, x_max, y_min, y_max
print((map(mouse.x, 0, 800, x_min, x_max), map(mouse.y, 0, 600, y_min, y_max)))
x_margin = (x_max - x_min) * 0.2
y_margin = (y_max - y_min) * 0.2
x_min = x_min + x_margin
x_max = x_max - x_margin
y_min = y_min + y_margin
y_max = y_max - y_margin
redraw()
def draw():
"""Naive - do 800 in real, 600 in imaginary"""
background(0) # Paint the whole screen black
red = color(240, 0, 0)
black = color(0, 0, 0)
white = color(255, 255, 255)
for r in xrange(0, 800, 1):
for i in xrange(0, 600, 1):
# Given pixels, map to box in argand plane
p = complex(map(r, 0, 800, x_min, x_max),
map(i, 600, 0, y_min, y_max)) #pyprocessing draws +y downwards on screen
(in_set, num_iterations) = mandel(p)
if in_set:
stroke(red)
point(r, i)
else:
stroke(lerpColor(black, white, map(num_iterations, 0, 19, 0, 1)))
point(r, i)
if __name__ == '__main__':
run()
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