def test_ConditionSet():
x = Symbol("x")
i1 = Interval(-oo, oo)
f1 = FiniteSet(0, 1, 2, 4)
cond1 = Ge(x**2, 9)
assert ConditionSet(x, And(Eq(0, 1), i1.contains(x))) == EmptySet()
assert ConditionSet(x, And(Gt(1, 0), i1.contains(x))) == i1
assert ConditionSet(x, And(cond1, f1.contains(x))) == FiniteSet(4)
def test_And():
assert And() == true
assert And(True) == true
assert And(False) == false
assert And(True, True) == true
assert And(True, False) == false
assert And(False, False) == false
assert And(True, True, True) == true
def test_logic():
x = true
y = false
x1 = sympy.true
y1 = sympy.false
assert And(x, y) == And(x1, y1)
assert And(x1, y) == And(x1, y1)
assert And(x, y)._sympy_() == sympy.And(x1, y1)
assert sympify(sympy.And(x1, y1)) == And(x, y)
assert Or(x, y) == Or(x1, y1)
assert Or(x1, y) == Or(x1, y1)
assert Or(x, y)._sympy_() == sympy.Or(x1, y1)
assert sympify(sympy.Or(x1, y1)) == Or(x, y)
assert Not(x) == Not(x1)
assert Not(x1) == Not(x1)
assert Not(x)._sympy_() == sympy.Not(x1)
assert sympify(sympy.Not(x1)) == Not(x)
assert Xor(x, y) == Xor(x1, y1)
assert Xor(x1, y) == Xor(x1, y1)
assert Xor(x, y)._sympy_() == sympy.Xor(x1, y1)
assert sympify(sympy.Xor(x1, y1)) == Xor(x, y)
x = Symbol("x")
x1 = sympy.Symbol("x")
assert Piecewise((x, x < 1), (0, True)) == Piecewise((x1, x1 < 1),
(0, True))
assert Piecewise((x, x1 < 1), (0, True)) == Piecewise((x1, x1 < 1),
(0, True))
assert Piecewise((x, x < 1), (0, True))._sympy_() == sympy.Piecewise(
(x1, x1 < 1), (0, True))
assert sympify(sympy.Piecewise((x1, x1 < 1), (0, True))) == Piecewise(
(x, x < 1), (0, True))
assert Contains(x, Interval(1, 1)) == Contains(x1, Interval(1, 1))
assert Contains(x, Interval(1, 1))._sympy_() == sympy.Contains(
x1, Interval(1, 1))
assert sympify(sympy.Contains(x1,
Interval(1,
1))) == Contains(x, Interval(1, 1))