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@rmmh
Last active August 29, 2015 14:03
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generating random permutations for the chip8
import random
poss = [0] * 65536
def bitcount(x):
return bin(x).count("1")
# algorithm
def rotate_random(a):
rot = random.randint(0, 15)
return (a >> rot) | ((a << (16 - rot)) & 0xffff)
def permute_bits(n):
a = 0
for _ in range(n):
# try to avoid creating runs of 1s by doing an extra rotation
if a & 1:
a = rotate_random(a)
# set least significant 0
a |= a + 1
# rotate again -- without this, least significant bit will always be 1
a = rotate_random(a)
assert bitcount(a) == n
return a
# statistics
for _ in xrange(10000000):
poss[permute_bits(8)] += 1
freqs = []
count_sum = 0
count_square_sum = 0
for num, count in enumerate(poss):
if bitcount(num) == 8:
count_sum += count
count_square_sum += count * count
freqs.append((count, num))
freqs.sort(reverse=True)
flen = float(len(freqs))
mean = count_sum/flen
print 'mean: %.f stddev: %.f' % (mean, (count_square_sum/flen - mean**2)**.5)
for num, count in freqs:
print '{:016b} {}'.format(count, num)
mean: 777 stddev: 205
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