def test_two_variables():
ad = AD(np.array([2, 2]), np.array([1, 1]))
f1 = lambda x, y: Var.log(x)**Var.sin(y)
assert AD.auto_diff(self=ad, func=f1) == Var(
pytest.approx(0.7165772257590739),
np.array([pytest.approx(0.47001694),
pytest.approx(0.10929465)]))
def test_jac_matrix():
f1 = lambda x, y: Var.log(x)**Var.sin(y)
f2 = lambda x, y: Var.sqrt(x) / y
ad = AD(np.array([4.12, 5.13]), np.array([1, 1]))
assert np.array_equal(
ad.jac_matrix([f1, f2]),
np.array([[pytest.approx(-0.11403015),
pytest.approx(0.10263124)],
[pytest.approx(0.048018),
pytest.approx(-0.07712832)]]))
from EasyDiff.ad import AD
from EasyDiff.var import Var
from EasyDiff.rev_var import Rev_Var
from EasyDiff.ad import AD_Mode
import numpy as np
# test forward mode.
# give it a function of your choice
func = lambda x, y: Var.log(x)**Var.sin(y)
# give the initial values to take the derivatives at
ad = AD(vals=np.array([2, 2]), ders=np.array([1, 1]), mode=AD_Mode.FORWARD)
# calculate and print the derivatives
print("Var.log(x) ** Var.sin(y): {}".format(vars(ad.auto_diff(func))))
# test reverse mode.
func = lambda x, y: Rev_Var.log(x)**Rev_Var.sin(y)
ad = AD(vals=np.array([2, 2]), ders=np.array([1, 1]), mode=AD_Mode.REVERSE)
print("Rev_Var.log(x) ** Rev_Var.sin(y): {}".format(vars(ad.auto_diff(func))))
def test_sin():
x = Var(3, np.array([1]))
y = 2
assert Var.sin(x) == Var(pytest.approx(0.1411200080598672),
np.array([pytest.approx(-0.9899925)]))
assert Var.sin(y) == np.sin(y)