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from sympy.combinatorics.graycode import (GrayCode, bin_to_gray, | |
random_bitstring, get_subset_from_bitstring, graycode_subsets, | |
gray_to_bin) | |
from sympy.testing.pytest import raises | |
def test_graycode(): | |
g = GrayCode(2) | |
got = [] | |
for i in g.generate_gray(): | |
if i.startswith('0'): | |
g.skip() | |
got.append(i) | |
assert got == '00 11 10'.split() | |
a = GrayCode(6) | |
assert a.current == '0'*6 | |
assert a.rank == 0 | |
assert len(list(a.generate_gray())) == 64 | |
codes = ['011001', '011011', '011010', | |
'011110', '011111', '011101', '011100', '010100', '010101', '010111', | |
'010110', '010010', '010011', '010001', '010000', '110000', '110001', | |
'110011', '110010', '110110', '110111', '110101', '110100', '111100', | |
'111101', '111111', '111110', '111010', '111011', '111001', '111000', | |
'101000', '101001', '101011', '101010', '101110', '101111', '101101', | |
'101100', '100100', '100101', '100111', '100110', '100010', '100011', | |
'100001', '100000'] | |
assert list(a.generate_gray(start='011001')) == codes | |
assert list( | |
a.generate_gray(rank=GrayCode(6, start='011001').rank)) == codes | |
assert a.next().current == '000001' | |
assert a.next(2).current == '000011' | |
assert a.next(-1).current == '100000' | |
a = GrayCode(5, start='10010') | |
assert a.rank == 28 | |
a = GrayCode(6, start='101000') | |
assert a.rank == 48 | |
assert GrayCode(6, rank=4).current == '000110' | |
assert GrayCode(6, rank=4).rank == 4 | |
assert [GrayCode(4, start=s).rank for s in | |
GrayCode(4).generate_gray()] == [0, 1, 2, 3, 4, 5, 6, 7, 8, | |
9, 10, 11, 12, 13, 14, 15] | |
a = GrayCode(15, rank=15) | |
assert a.current == '000000000001000' | |
assert bin_to_gray('111') == '100' | |
a = random_bitstring(5) | |
assert type(a) is str | |
assert len(a) == 5 | |
assert all(i in ['0', '1'] for i in a) | |
assert get_subset_from_bitstring( | |
['a', 'b', 'c', 'd'], '0011') == ['c', 'd'] | |
assert get_subset_from_bitstring('abcd', '1001') == ['a', 'd'] | |
assert list(graycode_subsets(['a', 'b', 'c'])) == \ | |
[[], ['c'], ['b', 'c'], ['b'], ['a', 'b'], ['a', 'b', 'c'], | |
['a', 'c'], ['a']] | |
raises(ValueError, lambda: GrayCode(0)) | |
raises(ValueError, lambda: GrayCode(2.2)) | |
raises(ValueError, lambda: GrayCode(2, start=[1, 1, 0])) | |
raises(ValueError, lambda: GrayCode(2, rank=2.5)) | |
raises(ValueError, lambda: get_subset_from_bitstring(['c', 'a', 'c'], '1100')) | |
raises(ValueError, lambda: list(GrayCode(3).generate_gray(start="1111"))) | |
def test_live_issue_117(): | |
assert bin_to_gray('0100') == '0110' | |
assert bin_to_gray('0101') == '0111' | |
for bits in ('0100', '0101'): | |
assert gray_to_bin(bin_to_gray(bits)) == bits | |