I would like to generate an array as follows:
[[0,0,0],
[0,0,1],
[0,1,0],
[0,1,1],
[1,0,0],
[1,0,1],
[1,1,0]
[1,1,1]]
I tried to achieve this by setting 3 for loops, but I wish to go further to 4, 5, and higher bit-numbers, so the last method would not scale easly to these numbers.
Is there any simple way for doing this?
I can't figure out why you want this, but here goes:
For 3:
>>> [[int(x) for x in "{0:03b}".format(y)] for y in range(8)]
[[0, 0, 0], [0, 0, 1], [0, 1, 0], [0, 1, 1], [1, 0, 0], [1, 0, 1], [1, 1, 0], [1, 1, 1]]
>>>
For 5:
>>> [[int(x) for x in "{0:05b}".format(y)] for y in range(32)]
[[0, 0, 0, 0, 0], [0, 0, 0, 0, 1], [0, 0, 0, 1, 0], [0, 0, 0, 1, 1], [0, 0, 1, 0, 0], [0, 0, 1, 0, 1], [0, 0, 1, 1, 0], [0, 0, 1, 1, 1], [0, 1, 0, 0, 0], [0, 1, 0, 0, 1], [0, 1, 0, 1, 0], [0, 1, 0, 1, 1], [0, 1, 1, 0, 0], [0, 1, 1, 0, 1], [0, 1, 1, 1, 0], [0, 1, 1, 1, 1], [1, 0, 0, 0, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 0], [1, 0, 0, 1, 1], [1, 0, 1, 0, 0], [1, 0, 1, 0, 1], [1, 0, 1, 1, 0], [1, 0, 1, 1, 1], [1, 1, 0, 0, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 0], [1, 1, 0, 1, 1], [1, 1, 1, 0, 0], [1, 1, 1, 0, 1], [1, 1, 1, 1, 0], [1, 1, 1, 1, 1]]
>>>
Matching your formatting is harder.
You can use itertools.product to do this.
>>> import itertools
>>> list(itertools.product([0,1], repeat=3))
[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1)]
https://docs.python.org/3/library/itertools.html#itertools.product
repeat=bits, which is more graceful than range(number_of_realizations) or range(2**bits) in the context of the question.You can use a recursive function like the following:
def generate_binary_entries(n, t=[[]]): # n: length of bit number
if n == 0:
return t
new_t = []
for entry in t:
new_t.append(entry + [0])
new_t.append(entry + [1])
return generate_binary_entries(n - 1, new_t)
Then
generate_binary_entries(4)
generates
[[0, 0, 0, 0],
[0, 0, 0, 1],
[0, 0, 1, 0],
[0, 0, 1, 1],
[0, 1, 0, 0],
[0, 1, 0, 1],
[0, 1, 1, 0],
[0, 1, 1, 1],
[1, 0, 0, 0],
[1, 0, 0, 1],
[1, 0, 1, 0],
[1, 0, 1, 1],
[1, 1, 0, 0],
[1, 1, 0, 1],
[1, 1, 1, 0],
[1, 1, 1, 1]]
