def test_div():
x1 = ad.Variable(1)
x2 = x1/5
x3 = 3/x1
assert x2.val == 1/5
assert x2.der == {'x': 1/5}
assert x3.val == 3
assert x3.der == {'x': -3}
def test_pow():
x1 = ad.Variable(3)
x2 = x1**2
x3 = 3**x1
print(x3.der)
print(x3.val)
assert x2.val == 9
assert x2.der == {'x': 6}
assert x3.val == 27
assert x3.der == {'x': np.log(3)*3**3}
def test_mul():
x1 = ad.Variable(4)
x2 = 3*x1
x3 = x1*x2
x4 = x1*4
assert x2.val == 12
assert x2.der == {'x': 3}
assert x3.val == 48
assert x3.der == {'x': 24}
assert x4.val == 16
assert x4.der == {'x': 4}
def test_neg():
x1 = ad.Variable(2)
x2 = -x1
assert x2.val == -2
assert x2.der == {'x': -1}
# test_add()
# test_sub()
# test_mul()
# test_div()
# test_pow()
# test_neg()
# test_div_zero_division()
def test_add():
x1 = ad.Variable(1)
x2 = x1 + 2
x3 = x1 + x2
x4 = 3 + x1
assert x1.val == 1
assert x1.der == {'x': 1.0}
assert x2.val == 3
assert x2.der == {'x': 1.0}
assert x3.val == 4
assert x3.der == {'x': 2.0}
assert x4.val == 4
assert x4.der == {'x': 1.0}
def test_sub():
x1 = ad.Variable(4)
x2 = x1 - 4
x3 = x2 - x1
x4 = 4 - x1
x5 = x1 - 4
assert x2.val == 0
assert x2.der == {'x': 1}
assert x3.val == -4
assert x3.der == {'x': 0}
assert x4.val == 0
assert x4.der == {'x': -1}
assert x5.val == 0
assert x5.der == {'x': 1}
def test_pow_of_variable():
with pytest.raises(Exception):
x1 = ad.Variable(1)
x3 = x1**x1