Ian Jauslin
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#!/usr/bin/env python3

import random
from math import *

# size of the grid
L=8

# draw spins, probability of reds: p, only fill up to H
def draw_spins(p, H, file_desc):
    for i in range(L):
        for j in range(H):
            if(random.random()<p):
                print("\\fill[color=red]("+str(i)+","+str(j)+")circle(0.2);", file=file_desc);
            else:
                print("\\fill[color=blue]("+str(i)+","+str(j)+")circle(0.2);", file=file_desc);
            print("\\draw("+str(i)+","+str(j)+")circle(0.2);", file=file_desc);

# init tikz file
def init_tikz(filename):
    file_desc=open(filename,"w")
    print("\\documentclass{standalone}\n\n\\usepackage{tikz}\n\\usepackage{ising}\n\\usetikzlibrary{decorations.pathmorphing}\n\n\\begin{document}\n\\begin{tikzpicture}\n\n", file=file_desc)
    return(file_desc)

# close tikz file
def close_tikz(file_desc):
    print("\\end{tikzpicture}\n\\end{document}", file=file_desc)
    file_desc.close()


# files

ising=init_tikz("ising.tikz.tex")
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=ising)
draw_spins(0.5,L,ising)
close_tikz(ising)

ising_blue=init_tikz("ising_blue.tikz.tex")
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=ising_blue)
draw_spins(0.1,L,ising_blue)
close_tikz(ising_blue)

ising_red=init_tikz("ising_red.tikz.tex")
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=ising_red)
draw_spins(0.9,L,ising_red)
close_tikz(ising_red)

transfer1=init_tikz("transfer1.tikz.tex")
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=transfer1)
draw_spins(0.5,1,transfer1)
close_tikz(transfer1)

transfer2=init_tikz("transfer2.tikz.tex")
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=transfer2)
draw_spins(0.5,2,transfer2)
close_tikz(transfer2)