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hilbert.py
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hilbert.py
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import os, sys, math, datetime, time, string
from PIL import Image, ImageDraw
def graycode(x):
x = int(x)
return x^(x>>1)
def igraycode(x):
if x == 0:
return x
m = int(math.ceil(math.log(x, 2)))+1
i, j = x, 1
while j < m:
i = i ^ (x>>j)
j += 1
return i
def bits(n, width):
assert n < 2**width
bin = []
for i in range(width):
bin.insert(0, 1 if n&(1<<i) else 0)
return bin
def bits2int(bits):
n = 0
for p, i in enumerate(reversed(bits)):
n += i*2**p
return n
def rrot(x, i, width):
assert x < 2**width
i = i%width
x = (x>>i) | (x<<width-i)
return x&(2**width-1)
def lrot(x, i, width):
assert x < 2**width
i = i%width
x = (x<<i) | (x>>width-i)
return x&(2**width-1)
def tsb(x, width):
assert x < 2**width
i = 0
while x&1 and i <= width:
x = x >> 1
i += 1
return i
def setbit(x, w, i, b):
assert b in [1, 0]
assert i < w
if b:
return x | 2**(w-i-1)
else:
return x & ~2**(w-i-1)
def bitrange(x, width, start, end):
return x >> (width-end) & ((2**(end-start))-1)
def entropy(data, blocksize, offset, symbols=256):
if len(data) < blocksize:
raise ValueError("Data length must be larger than block size.")
if offset < blocksize/2:
start = 0
elif offset > len(data)-blocksize/2:
start = len(data)-blocksize/2
else:
start = offset-blocksize/2
hist = {}
for i in data[start:start+blocksize]:
hist[i] = hist.get(i, 0) + 1
base = min(blocksize, symbols)
entropy = 0
for i in hist.values():
p = i/float(blocksize)
entropy += (p * math.log(p, base))
return -entropy
def transform(entry, direction, width, x):
assert x < 2**width
assert entry < 2**width
return rrot((x^entry), direction+1, width)
def itransform(entry, direction, width, x):
assert x < 2**width
assert entry < 2**width
return lrot(x, direction+1, width)^entry
def direction(x, n):
assert x < 2**n
if x == 0:
return 0
elif x%2 == 0:
return tsb(x-1, n)%n
else:
return tsb(x, n)%n
def entry(x):
if x == 0:
return 0
else:
return graycode(2*((x-1)/2))
def hilbert_point(dimension, order, h):
hwidth = order*dimension
e, d = 0, 0
p = [0]*dimension
for i in range(order):
w = bitrange(h, hwidth, i*dimension, i*dimension+dimension)
l = graycode(w)
l = itransform(e, d, dimension, l)
for j in range(dimension):
b = bitrange(l, dimension, j, j+1)
p[j] = setbit(p[j], order, i, b)
e = e ^ lrot(entry(w), d+1, dimension)
d = (d + direction(w, dimension) + 1)%dimension
return p
def hilbert_index(dimension, order, p):
h, e, d = 0, 0, 0
for i in range(order):
l = 0
for x in range(dimension):
b = bitrange(p[dimension-x-1], order, i, i+1)
l |= b<<x
l = transform(e, d, dimension, l)
w = igraycode(l)
e = e ^ lrot(entry(w), d+1, dimension)
d = (d + direction(w, dimension) + 1)%dimension
h = (h<<dimension)|w
return h
class Hilbert:
def __init__(self, dimension, order):
self.dimension, self.order = dimension, order
@classmethod
def fromSize(self, dimension, size):
x = math.log(size, 2)
if not float(x)/dimension == int(x)/dimension:
raise ValueError("Size does not fit Hilbert curve of dimension %s."%dimension)
return Hilbert(dimension, int(x/dimension))
def __len__(self):
return 2**(self.dimension*self.order)
def __getitem__(self, idx):
if idx >= len(self):
raise IndexError
return self.point(idx)
def dimensions(self):
return [int(math.ceil(len(self)**(1/float(self.dimension))))]*self.dimension
def index(self, p):
return hilbert_index(self.dimension, self.order, p)
def point(self, idx):
return hilbert_point(self.dimension, self.order, idx)
curveMap = {
# "hcurve": hcurve.Hcurve,
"hilbert": Hilbert
# "zigzag": zigzag.ZigZag,
# "zorder": zorder.ZOrder,
# "natural": natural.Natural,
# "gray": graycurve.GrayCurve,
}
curves = curveMap.keys()
def fromSize(curve, dimension, size):
return curveMap[curve].fromSize(dimension, size)
def fromOrder(curve, dimension, order):
return curveMap[curve](dimension, order)
class Inplace:
def __init__(self, title="", stream=sys.stderr):
self.stream, self.title = stream, title
self.last = 0
def tick(self, s):
if not self.stream:
return
w = "\r%s%s"%(self.title, s)
self.last = len(w)
self.stream.write(w)
self.stream.flush()
def inject(self, txt):
self.stream.write("\n")
self.clear()
self.stream.write("%s\n"%txt)
self.stream.flush()
def clear(self):
if not self.stream:
return
spaces = " "*self.last
self.stream.write("\r%s\r"%spaces)
def entropy(data, blocksize, offset, symbols=256):
if len(data) < blocksize:
raise ValueError("Data length must be larger than block size.")
if offset < blocksize/2:
start = 0
elif offset > len(data)-blocksize/2:
start = len(data)-blocksize/2
else:
start = offset-blocksize/2
hist = {}
for i in data[start:start+blocksize]:
hist[i] = hist.get(i, 0) + 1
base = min(blocksize, symbols)
entropy = 0
for i in hist.values():
p = i/float(blocksize)
entropy += (p * math.log(p, base))
return -entropy
class Progress(Inplace):
bookend = "|"
done = "-"
current = ">"
todo = " "
def __init__(self, target, title="", width=40, stream=sys.stderr):
Inplace.__init__(self, title, stream=stream)
self.width, self.target = width, target
self.prev = -1
self.startTime = None
self.window = None
def tick(self, val):
if not self.stream:
return
if not self.startTime:
self.startTime = datetime.datetime.now()
pp = val/float(self.target)
progress = int(pp * self.width)
t = datetime.datetime.now() - self.startTime
runsecs = t.days*86400 + t.seconds + t.microseconds/1000000.0
if pp == 0:
eta = "?:??:??"
else:
togo = runsecs * (1 - pp)/pp
eta = datetime.timedelta(seconds = int(togo))
if pp > self.prev:
self.prev = pp
l = self.done * progress
r = self.todo * (self.width - progress)
now = time.time()
s = "%s%s%s%s%s %s" % (
self.bookend, l,
self.current,
r, self.bookend, eta
)
Inplace.tick(self, s)
def set_target(self, t):
self.target = t
def restoreTerm(self):
if self.window:
#begin nocover
curses.echo()
curses.nocbreak()
curses.endwin()
self.window = None
#end nocover
def clear(self):
Inplace.clear(self)
self.restoreTerm()
def __del__(self):
self.restoreTerm()
def full(self):
self.tick(self.target)
class Dummy:
def __init__(self, *args, **kwargs): pass
def tick(self, *args, **kwargs): pass
def restoreTerm(self, *args, **kwargs): pass
def clear(self, *args, **kwargs): pass
def full(self, *args, **kwargs): pass
def set_target(self, *args, **kwargs): pass
def parseColor(c):
if len(c) == 6:
r = int(c[0:2], 16)/255.0
g = int(c[2:4], 16)/255.0
b = int(c[4:6], 16)/255.0
return [r, g, b]
elif len(c) == 3:
return c
class _Color:
def __init__(self, data, block):
self.data, self.block = data, block
s = list(set(data))
s.sort()
self.symbol_map = {v : i for (i, v) in enumerate(s)}
def __len__(self):
return len(self.data)
def point(self, x):
if self.block and (self.block[0]<=x<self.block[1]):
return self.block[2]
else:
return self.getPoint(x)
class ColorGradient(_Color):
def getPoint(self, x):
c = ord(self.data[x])/255.0
return [
int(255*c),
int(255*c),
int(255*c)
]
class ColorHilbert(_Color):
def __init__(self, data, block):
_Color.__init__(self, data, block)
self.csource = fromSize("hilbert", 3, 256**3)
self.step = len(self.csource)/float(len(self.symbol_map))
def getPoint(self, x):
c = self.symbol_map[self.data[x]]
return self.csource.point(int(c*self.step))
class ColorClass(_Color):
def getPoint(self, x):
c = ord(self.data[x])
if c == 0:
return [0, 0, 0]
elif c == 255:
return [255, 255, 255]
elif chr(c) in string.printable:
return [55, 126, 184]
return [228, 26, 28]
class ColorEntropy(_Color):
def getPoint(self, x):
e = entropy(self.data, 32, x, len(self.symbol_map))
# http://www.wolframalpha.com/input/?i=plot+%284%28x-0.5%29-4%28x-0.5%29**2%29**4+from+0.5+to+1
def curve(v):
f = (4*v - 4*v**2)**4
f = max(f, 0)
return f
r = curve(e-0.5) if e > 0.5 else 0
b = e**2
return [
int(255*r),
0,
int(255*b)
]
def drawmap_unrolled(map, size, csource, name, prog):
prog.set_target((size**2)*4)
map = fromSize(map, 2, size**2)
c = Image.new("RGB", (size, size*4))
cd = ImageDraw.Draw(c)
step = len(csource)/float(len(map)*4)
sofar = 0
for quad in range(4):
for i, p in enumerate(map):
off = (i + (quad * size**2))
color = csource.point(
int(off * step)
)
x, y = tuple(p)
cd.point(
(x, y + (size * quad)),
fill=tuple(color)
)
if not sofar%100:
prog.tick(sofar)
sofar += 1
c.save(name)
def drawmap_square(map, size, csource, name, prog):
prog.set_target((size**2))
map = fromSize(map, 2, size**2)
c = Image.new("RGB", map.dimensions())
cd = ImageDraw.Draw(c)
step = len(csource)/float(len(map))
for i, p in enumerate(map):
color = csource.point(int(i*step))
cd.point(tuple(p), fill=tuple(color))
if not i%100:
prog.tick(i)
c.save(name)
def main():
from optparse import OptionParser, OptionGroup
parser = OptionParser(
usage = "%prog [options] infile [output]",
version="%prog 0.1",
)
parser.add_option(
"-b", "--block", action="store",
dest="block", default=None,
help="Mark a block of data with a specified color. Format: hexstartaddr:hexendaddr[:hexcolor]"
)
parser.add_option(
"-c", "--color", action="store",
type="choice", dest="color", default="class",
choices=["class", "hilbert", "entropy", "gradient"],
help="Color map."
)
parser.add_option(
"-m", "--map", action="store",
type="choice", dest="map", default="hilbert",
choices=sorted(curveMap.keys()),
help="Pixel layout map. Can be any supported curve."
)
parser.add_option(
"-n", "--namesuffix", action="store",
type="str", dest="suffix", default="",
help="Suffix for generated file names. Ignored if destination is specified."
)
parser.add_option(
"-p", "--progress", action="store_true", default=False,
dest="progress",
help="Don't show progress bar - print the destination file name."
)
parser.add_option(
"-s", "--size", action="store",
type="int", dest="size", default=256,
help="Image width in pixels."
)
parser.add_option(
"-t", "--type", type="choice",
dest="type", default="unrolled",
choices=["unrolled", "square"],
help="Image aspect ratio - square (1x1) or unrolled (1x4)"
)
parser.add_option(
"-q", "--quiet", action="store_true",
dest="quiet", default=False
)
options, args = parser.parse_args()
if len(args) not in [1, 2]:
parser.error("Please specify input and output file.")
d = open(args[0]).read()
if len(args) == 2:
dst = args[1]
else:
base = os.path.basename(args[0])
if "." in base:
base, _ = base.rsplit(".", 1)
dst = base + options.suffix + ".png"
if os.path.exists(dst) and len(args) < 2:
print >> sys.stderr, "Refusing to over-write '%s'. Specify explicitly if you really want to do this."%dst
sys.exit(1)
block = None
if options.block:
parts = options.block.split(":")
if len(parts) not in [2, 3]:
raise ValueError("Invalid block specification.")
s, e = int(parts[0], 16), int(parts[1], 16)
if len(parts) == 3:
c = parseColor(parts[2])
else:
c = [255, 0, 0]
block = (s, e, c)
if options.color == "class":
csource = ColorClass(d, block)
elif options.color == "hilbert":
csource = ColorHilbert(d, block)
elif options.color == "gradient":
csource = ColorGradient(d, block)
else:
csource = ColorEntropy(d, block)
if options.progress:
print(dst)
if options.quiet or options.progress:
prog = Dummy()
else:
prog = Progress(None)
if options.type == "unrolled":
drawmap_unrolled(options.map, options.size, csource, dst, prog)
elif options.type == "square":
drawmap_square(options.map, options.size, csource, dst, prog)
prog.clear()
main()