def test_AppliedPermutation():
x = Symbol('x')
p = Permutation(0, 1, 2)
raises(ValueError, lambda: AppliedPermutation((0, 1, 2), x))
assert AppliedPermutation(p, 1, evaluate=True) == 2
assert AppliedPermutation(p, 1, evaluate=False).__class__ == \
AppliedPermutation
def test_permutation_apply():
x = Symbol('x')
p = Permutation(0, 1, 2)
assert p.apply(0) == 1
assert isinstance(p.apply(0), Integer)
assert p.apply(x) == AppliedPermutation(p, x)
assert AppliedPermutation(p, x).subs(x, 0) == 1
x = Symbol('x', integer=False)
raises(NotImplementedError, lambda: p.apply(x))
x = Symbol('x', negative=True)
raises(NotImplementedError, lambda: p.apply(x))