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#!/usr/bin/env python3
from itertools import combinations
def increment(dictionary, key):
dictionary[key] = dictionary.get(key, 0) + 1
def print_dict(dictionary):
keys = sorted(list(dictionary.keys()))
for key in keys:
print(key, dictionary[key])
def distribution(counts, capset, num):
combs = tuple(combinations(range(counts["dim"]), num))
num_i = len(combs)
num_j = 3**num
dists = [[0 for j in range(num_j)]
for i in range(num_i)]
for card in capset:
for i, indices in enumerate(combs):
substr = "".join(card[indices[n]] for n in range(num))
j = int(substr, 3)
dists[i][j] += 1
metadist = {}
for i in range(num_i):
dists[i] = "".join(map(str, sorted(dists[i])))
name = "dist" + str(num) + ":" + dists[i]
increment(counts, name)
increment(metadist, name)
if counts["premeta" + str(num)]:
z = tuple(zip(*counts["premeta" + str(num)].items()))
else:
z = ([],[])
if metadist in z[1]:
key = z[0][z[1].index(metadist)]
else:
key = len(z[0])
counts["premeta" + str(num)][key] = metadist
name = "premeta" + str(num) + ":" + str(key)
increment(counts, name)
def metadistribution(counts, num):
dists = tuple(sorted(key for key in counts.keys()
if key.startswith("dist" + str(num))))
for key in counts["premeta" + str(num)]:
count = counts["premeta" + str(num) + ":" + str(key)]
metadist = counts["premeta" + str(num)][key]
newstr = "".join(str(metadist.get(dist, 0)) for dist in dists)
counts["meta" + str(num) + ":" + newstr] = count
for key in counts.copy():
if key.startswith("premeta" + str(num)):
del counts[key]
def main():
capsets = []
capset_file = open("capset.out", "r")
for line in capset_file:
capsets.append(line[1:-2].split(" "))
capset_file.close()
counts = {"count" : 0,
"dim" : len(capsets[0][0])}
nums = range(1, counts["dim"])
for num in nums:
counts["premeta" + str(num)] = {}
for capset in capsets:
counts["count"] += 1
for num in nums:
distribution(counts, capset, num)
for num in nums:
metadistribution(counts, num)
print_dict(counts)
if __name__ == "__main__": main()
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