import turtle
import math
from Tkinter import *

# Set up the TK frame
root = Tk()
fram = Frame(root)
canv = Canvas(root,width=640,height=480)
canv.pack(side=TOP,fill=BOTH,expand=1)

# Number of frames to generate
count = 300.0
for dx in xrange(0, (int)(count)):

	# Create sinusoidal counter
	cx = (count*(1.1+math.sin(((dx*math.pi)/count)-math.pi/2.0))/2.11)
		
	print "dx = "+str(dx)+" cx = "+str(cx)
	print "Generating frame "+str(dx)
	
	canv.delete(ALL)
	canv.config(background="white")
	
	# Draw central line
	turtle1 = turtle.RawPen(canv)
	turtle1.tracer(False)
	turtle1.up()
	turtle1.goto(0,-220)
	turtle1.left(90)
	turtle1.down()
	turtle1.forward((int)((150.0/count)*(int)(cx)))
	
	# Define branching factor
	branchingfactor = (int)(math.floor(2.0+13.0*(cx/count)))
	
	# Create description of the fractal
	set="A"
	for i in range(branchingfactor): set=set.replace("A","LFsASFrFsASFL")
	
	i = 1
	turtle1.forward(20)
	for move in set:
	    if move is "A": turtle1.left(180)
	    branchlength = 20.0+(80.0*(cx/count))
	    branchscale = 2.0 - (0.75*(cx/count))
	    if move is "F": turtle1.forward((int)(branchlength/branchscale**i))
	    if move is "L": turtle1.left(45)
	    if move is "r": turtle1.left(90)
	    if move is "s": i+=1
	    if move is "S": i-=1
	    
	# Save frame as PS file
	filename = str(dx)
	if len(filename)==1:
		filename = "00"+filename
	if len(filename)==2:
		filename = "0"+filename
		
	canv.postscript(file="output/"+filename+".ps", x=0, y=0, height=480, width=640)