def test_const():
assert bool(Zero) is False
assert bool(One) is True
assert int(Zero) == 0
assert int(One) == 1
assert str(Zero) == '0'
assert str(One) == '1'
assert not Zero.support
assert not One.support
assert Zero.top is None
assert One.top is None
assert Zero.restrict({a: 0, b: 1, c: 0, d: 1}) is Zero
assert One.restrict({a: 0, b: 1, c: 0, d: 1}) is One
assert Zero.compose({a: 0, b: 1, c: 0, d: 1}) is Zero
assert One.compose({a: 0, b: 1, c: 0, d: 1}) is One
assert Zero.simplify() is Zero
assert One.simplify() is One
assert Zero.to_nnf() is Zero
assert One.to_nnf() is One
assert Zero.depth == 0
assert One.depth == 0
def test_const():
assert bool(Zero) is False
assert bool(One) is True
assert int(Zero) == 0
assert int(One) == 1
assert str(Zero) == '0'
assert str(One) == '1'
assert not Zero.support
assert not One.support
assert Zero.top is None
assert One.top is None
assert Zero.restrict({a: 0, b: 1, c: 0, d: 1}) is Zero
assert One.restrict({a: 0, b: 1, c: 0, d: 1}) is One
assert Zero.compose({a: 0, b: 1, c: 0, d: 1}) is Zero
assert One.compose({a: 0, b: 1, c: 0, d: 1}) is One
assert Zero.simplify() is Zero
assert One.simplify() is One
assert Zero.to_nnf() is Zero
assert One.to_nnf() is One
assert Zero.depth == 0
assert One.depth == 0
def test_is_zero_one():
assert Zero.is_zero()
assert not One.is_zero()
assert not a.is_zero()
assert not (~a | b).is_zero()
assert One.is_one()
assert not Zero.is_one()
assert not a.is_one()
assert not (~a | b).is_one()
def test_is_zero_one():
assert Zero.is_zero()
assert not One.is_zero()
assert not a.is_zero()
assert not (~a | b).is_zero()
assert One.is_one()
assert not Zero.is_one()
assert not a.is_one()
assert not (~a | b).is_one()
def test_satisfy():
# Typical cases
f = a & ~b & c & ~d
assert Zero.satisfy_one() is None
assert One.satisfy_one() == {}
assert f.satisfy_one() == {a: 1, b: 0, c: 1, d: 0}
# PLE solution
f = (a | b | c) & (~a | ~b | c)
assert f.satisfy_one() == {a: 0, b: 0, c: 1}
points = [p for p in Xor(a, b, c).satisfy_all()]
assert points == [
{
a: 0,
b: 0,
c: 1
},
{
a: 0,
b: 1,
c: 0
},
{
a: 1,
b: 0,
c: 0
},
{
a: 1,
b: 1,
c: 1
},
]
assert Xor(a, b, c).satisfy_count() == 4
# CNF SAT UNSAT
sat = Majority(a, b, c, conj=True)
unsat = Zero.expand([a, b, c], conj=True)
assert unsat.satisfy_one() is None
assert not list(unsat.satisfy_all())
assert list(sat.satisfy_all())
# Assumptions
f = OneHot(a, b, c)
g = Xor(a, b, c)
with a, ~b:
assert f.satisfy_one() == {a: 1, b: 0, c: 0}
assert g.satisfy_one() == {a: 1, b: 0, c: 0}
with a & ~b:
assert f.satisfy_one() == {a: 1, b: 0, c: 0}
assert g.satisfy_one() == {a: 1, b: 0, c: 0}
def test_satisfy():
# Typical cases
f = a & ~b & c & ~d
assert Zero.satisfy_one() is None
assert One.satisfy_one() == {}
assert f.satisfy_one() == {a: 1, b: 0, c: 1, d: 0}
# PLE solution
f = (a | b | c) & (~a | ~b | c)
assert f.satisfy_one() == {a: 0, b: 0, c: 1}
points = [p for p in Xor(a, b, c).satisfy_all()]
assert points == [
{a: 0, b: 0, c: 1},
{a: 0, b: 1, c: 0},
{a: 1, b: 0, c: 0},
{a: 1, b: 1, c: 1},
]
assert Xor(a, b, c).satisfy_count() == 4
# CNF SAT UNSAT
sat = Majority(a, b, c, conj=True)
unsat = Zero.expand([a, b, c], conj=True)
assert unsat.satisfy_one() is None
assert not list(unsat.satisfy_all())
assert list(sat.satisfy_all())
# Assumptions
f = OneHot(a, b, c)
g = Xor(a, b, c)
with a, ~b:
assert f.satisfy_one() == {a: 1, b: 0, c: 0}
assert g.satisfy_one() == {a: 1, b: 0, c: 0}
with a & ~b:
assert f.satisfy_one() == {a: 1, b: 0, c: 0}
assert g.satisfy_one() == {a: 1, b: 0, c: 0}