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qrt.py
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from PIL import Image, ImageDraw
from math import ceil, sqrt
ALTCONST = sqrt(3) / 2.0
ISIZE = 784.0
IMARGIN = 22.0
def empty_hex(size):
c = 0
points = []
for i in range(2, size * 2 + 2, 2):
points.append([0] * i)
middle = []
for i in range(size * 2 - 1):
row = [0] * (size * 2)
middle.append(row)
epoints = list(row[:] for row in points[::-1])
return points + middle + epoints
def intify(points):
return map(lambda c: (int(c[0]), int(c[1])), points)
def draw_triangle(im, points, cell, size):
draw = ImageDraw.Draw(im)
# draw.polygon(points, outline=(0, 0, 0))
if cell:
draw.polygon(intify(points), fill=(0, 0, 0))
return im
def getsection(i, size):
return 0 if i <= size - 1 else (1 if i < 3 * size - 1 else 2)
def getspace(size):
return max(0, sum(len(filter(lambda a: a == 0, b)) for b in empty_hex(size)) - 2)
def generate(string, debug=False):
size = 0
binstring = bin(int(string.encode("hex"), 16)).strip("0b")
while size < 3 or getspace(size + 1) - 8 < len(binstring):
size += 1
n = getspace(size)
# print size, len(binstring)
if debug: print "SIZE", size, " n =", n
im = Image.new("RGB", (int(ISIZE), int(ISIZE)), "white")
pattern = empty_hex(size)
# print len(binstring)
# print sum(len(i) for i in pattern)
pattern[0][len(string) % 2] = 1
curr = (1, 1 + len(string) % 2, 3 - len(string) % 2)
# 0 1
# 3 2
for c in range(n): # range(len(binstring)):
i, j, d = curr
row = pattern[i]
if c < len(binstring):
b = int(binstring[c])
pattern[i][j] = b
if c % 2 == 0:
pattern[i][j] ^= 1
section = getsection(i, size)
leftfacing = [j % 2 == 0, j % 2 != (i - size) % 2, j % 2 == 0][section]
if debug: print "c =", c, ", i =", i, ", j =", j, ", d =", d, ", s =", section, ", l =", leftfacing
if section == 0:
if getsection(i + 1, size) == 0:
if leftfacing:
if d == 0:
if j == 0:
curr = i + 1, j, (d + 2) % 4
else:
curr = i - 1, j - 1, d
elif d == 1 or d == 2:
curr = i, j + 1, d
elif d == 3:
curr = i + 1, j + 1, d
else:
if d == 0:
curr = i, j - 1, d
elif d == 1:
if j == len(row) - 1:
curr = i + 1, j + 2, (d + 2) % 4
else:
curr = i - 1, j - 1, d
elif d == 2:
curr = i + 1, j + 1, d
elif d == 3:
curr = i, j - 1, d
elif getsection(i + 1, size) == 1:
if leftfacing:
if d == 0:
if j == 0:
curr = i + 1, j, (d + 2) % 4
else:
curr = i - 1, j - 1, d
elif d == 1 or d == 2:
curr = i, j + 1, d
elif d == 3:
curr = i + 1, j, d
else:
if d == 0:
curr = i, j - 1, d
elif d == 1:
if j == len(row) - 1:
curr = i + 1, j, (d + 2) % 4
else:
curr = i - 1, j - 1, d
elif d == 2:
curr = i + 1, j, d
elif d == 3:
curr = i, j - 1, d
elif section == 1:
if getsection(i - 1, size) == 0:
if leftfacing:
if j == len(row) - 1:
if d == 1:
curr = i + 2, j, (d + 2) % 4
elif d == 2:
curr = i + 2, j, (d + 2) % 4
elif d == 3:
curr = i + 1, j, d
else:
if d == 0:
curr = i - 1, j, d
elif d == 1 or d == 2:
curr = i, j + 1, d
elif d == 3:
curr = i + 1, j, d
else:
if j == 0:
if d == 0:
curr = i + 2, j, (d + 2) % 4
elif d == 2:
curr = i + 1, j, d
elif d == 3:
curr = i + 2, j, (d + 2) % 4
else:
if d == 0 or d == 3:
curr = i, j - 1, d
elif d == 1:
curr = i - 1, j, d
elif d == 2:
curr = i + 1, j, d
elif getsection(i - 1, size) == 1:
if getsection(i + 1, size) == 1:
if leftfacing:
if j == len(row) - 1:
if d == 0:
curr = i - 1, j, d
elif d == 1:
curr = i + 2, j, (d + 2) % 4
elif d == 2:
curr = i + 2, j, (d + 2) % 4
elif d == 3:
curr = i + 1, j, d
else:
if d == 0:
curr = i - 1, j, d
elif d == 1 or d == 2:
curr = i, j + 1, d
elif d == 3:
curr = i + 1, j, d
else:
if j == 0:
if d == 0:
curr = i + 2, j, (d + 2) % 4
elif d == 1:
curr = i - 1, j, d
elif d == 2:
curr = i + 1, j, d
elif d == 3:
curr = i + 2, j, (d + 2) % 4
else:
if d == 0 or d == 3:
curr = i, j - 1, d
elif d == 1:
curr = i - 1, j, d
elif d == 2:
curr = i + 1, j, d
elif getsection(i + 1, size) == 2:
if leftfacing:
if j == len(row) - 1:
if d == 0:
curr = i - 1, j, d
elif d == 2:
curr = i + 1, j, (d + 2) % 4
else:
if d == 0:
curr = i - 1, j, d
elif d == 1:
curr = i, j + 1, d
elif d == 2:
curr = i, j + 1, d
elif d == 3:
curr = i + 1, j, d
else:
if d == 0:
curr = i, j - 1, d
elif d == 1:
curr = i - 1, j, d
elif d == 2:
curr = i + 1, j, d
elif d == 3:
if j == 0:
curr = i + 1, j, (d + 2) % 4
else:
curr = i, j - 1, d
elif section == 2:
if getsection(i - 1, size) == 1:
if leftfacing:
if d == 0:
curr = i - 1, j, d
elif d == 1:
curr = i, j + 1, d
elif d == 2:
curr = i, j + 1, d
elif d == 3:
if j == 0:
curr = i + 1, j, (d + 2) % 4
else:
curr = i + 1, j - 1, d
else:
if d == 0 or d == 3:
curr = i, j - 1, d
elif d == 1:
curr = i - 1, j, d
elif d == 2:
if j == len(row) - 1:
curr = i + 1, j - 2, (d + 2) % 4
else:
curr = i + 1, j - 1, d
elif getsection(i - 1, size) == 2:
if leftfacing:
if d == 0:
curr = i - 1, j + 1, d
elif d == 1 or d == 2:
curr = i, j + 1, d
elif d == 3:
if j == 0:
curr = i + 1, j, (d + 2) % 4
else:
curr = i + 1, j - 1, d
else:
if j == len(row) - 1:
if d == 0:
curr = i, j - 1, d
elif d == 1:
curr = i - 1, j + 1, d
elif d == 2:
curr = i + 1, j - 2, (d + 2) % 4
else:
if d == 0 or d == 3:
curr = i, j - 1, d
elif d == 1:
curr = i - 1, j + 1, d
elif d == 2:
curr = i + 1, j - 1, d
# for i in range(len(pattern)):
# for j in range(len(pattern[i])):
# section = 0 if i <= size - 1 else (1 if i < 3 * size - 1 else 2)
# leftfacing = [j % 2 == 0, j % 2 != (i - size) % 2, j % 2 == 0][section]
# if not leftfacing:
# print j,
# print
sidelen = (ISIZE - IMARGIN * 2) / (2.0 * size)
altitude = sidelen * ALTCONST
# print sidelen, altitude
for i in range(len(pattern)):
section = getsection(i, size)
row = pattern[i]
rowleft = (ISIZE / 2) - (altitude * len(row) / 2)
if section % 2 == 0:
evenrow = i % 2 == 0
for j in range(len(row)):
cell = row[j]
top = ceil(i / 2.0) * sidelen - (0.5 * sidelen if not evenrow else 0) + IMARGIN
bottom = top + sidelen
if j % 2 == 0:
points = [
(rowleft + altitude * j, top + sidelen / 2),
(rowleft + altitude * (j + 1), top), (rowleft + altitude * (j + 1), bottom)
]
else:
points = [
(rowleft + altitude * (j + 1), top + sidelen / 2),
(rowleft + altitude * j, top), (rowleft + altitude * j, bottom)
]
draw_triangle(im, points, cell, size)
else:
evenrow = (i - size) % 2 == 1
for j in range(len(row)):
cell = row[j]
top = ceil(i / 2.0) * sidelen - (0.5 * sidelen if i % 2 == 1 else 0) + IMARGIN
bottom = top + sidelen
if j % 2 == (i - size) % 2:
points = [
(rowleft + altitude * (j + 1), top + sidelen / 2),
(rowleft + altitude * j, top), (rowleft + altitude * j, bottom)
]
else:
points = [
(rowleft + altitude * j, top + sidelen / 2),
(rowleft + altitude * (j + 1), top), (rowleft + altitude * (j + 1), bottom)
]
draw_triangle(im, points, cell, size)
return im
# im = generate("easyctf{are_triangles_more_secure_than_squares?}")
# im.save("flag.png")
# for i in range(40, 60):
# generate("A" * i, "/tmp/%d.png" % i)