def test_exp_constant_results():
	a = ef.exp(0)
	assert a == np.exp(0)
	b = ef.exp(5)
	assert b == np.exp(5)
	c = ef.exp(-10)
	assert c == np.exp(-10)
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def test_exp_ad_results():
    # Realue defined at all real numbers
    # positive numbers
    x = Dual(10, 2)
    f = ef.exp(x)
    assert f.Real == np.exp(10)
    assert f.Dual == 2 * np.exp(10)

    y = Dual(-5, 2)
    f = ef.exp(y)
    assert f.Real == np.exp(-5)
    assert f.Dual == 2 * np.exp(-5)

    z = Dual(0, 2)
    f = ef.exp(z)
    assert f.Real == np.exp(0)
    assert f.Dual == 2 * np.exp(0)
def test_exp_ad_results():
	# value defined at all real numbers
	# positive numbers
	x = AutoDiff(10, 2)
	f = ef.exp(x)
	assert f.val == np.exp(10)
	assert f.der == 2*np.exp(10)
	assert f.jacobian == 1*np.exp(10)
	y = AutoDiff(-5, 2)
	f = ef.exp(y)
	assert f.val == np.exp(-5)
	assert f.der == 2*np.exp(-5)
	assert f.jacobian == 1*np.exp(-5)
	z = AutoDiff(0, 2)
	f = ef.exp(z)
	assert f.val == np.exp(0)
	assert f.der == 2*np.exp(0)
	assert f.jacobian == 1*np.exp(0)
def test_exp_types():
	with pytest.raises(TypeError):
		ef.exp('x')
	with pytest.raises(TypeError):
		ef.exp("1234")