def asae_5_test():
x = Symbol('x')
y = Symbol('y')
z = Symbol('z')
assert_equal(is_asae(Add(Number(2) * x, Number(3) * y, Number(4) * z)), True)
assert_equal(is_asae(Add(Number(1), Add(x, y), z, simplify=False)), False)
assert_equal(is_asae(Add(Number(1), Number(2), x, simplify=False)), False)
assert_equal(is_asae(Add(Number(1), x, Mul(Number(2), x), simplify=False)), False)
assert_equal(is_asae(Add(z, y, x, simplify=False)), False)
def asae_6_test():
x = Symbol('x')
y = Symbol('y')
assert_equal(is_asae(x**Number(2)), True)
assert_equal(is_asae((Number(1) + x)**Number(3)), True)
assert_equal(is_asae(Number(2)**x), True)
assert_equal(is_asae(Pow(Number(2), Number(3))), False)
assert_equal(is_asae(Pow((x*y), Number(2))), False)
assert_equal(is_asae(Pow(Number(1) + x, Number(1), simplify=False)), False)
assert_equal(is_asae(Pow(Number(1), x, simplify=False)), False)
def asae_4_test():
x = Symbol('x')
y = Symbol('y')
z = Symbol('z')
assert_equal(is_asae(Mul(Number(2), x, y, z**Number(2))), True)
assert_equal(is_asae(Mul(Number(2), Mul(x, y), z**Number(2), simplify=False)), False)
assert_equal(is_asae(Mul(Number(1), x, y, z**Number(2), simplify=False)), False)
assert_equal(is_asae(Mul(Number(2), x, y, z, z**Number(2), simplify=False)), False)
assert_equal(is_asae(Mul(Number(2), Number(3), z, x, y, simplify=False)), False)
assert_equal(is_asae(Mul(z, y, x, simplify=False)), False)
def asae_1_test():
assert_equal(is_asae(Integer(2)), True)
def asae_3_test():
assert_equal(is_asae(Symbol('x')), True)
assert_equal(is_asae(Undefined), False)
