def test_log_reverse(self):
FADiff.set_mode('reverse')
x = Elems.log(FADiff.new_scal(0.3))
assert x.val == pytest.approx(-1.2039728)
y = 2
assert Elems.log(y) == pytest.approx(np.log(y) / np.log(np.e))
def test_arctan_reverse(self):
FADiff.set_mode('reverse')
x = Elems.arctan(FADiff.new_scal(0.5))
assert x.val == pytest.approx(0.4636476090008061)
y = -0.4
assert Elems.arctan(y) == np.arctan(y)
def test_tanh_reverse(self):
FADiff.set_mode('reverse')
x = Elems.tanh(FADiff.new_scal(1))
assert x.val == pytest.approx(0.7615941559557649)
y = 2
assert Elems.tanh(y) == np.tanh(y)
def test_sinh_reverse(self):
FADiff.set_mode('reverse')
x = Elems.sinh(FADiff.new_scal(0.4))
assert x.val == pytest.approx(0.4107523258028155)
y = -0.4
assert Elems.sinh(y) == np.sinh(y)
def test_tan_reverse(self):
FADiff.set_mode('reverse')
x = Elems.tan(FADiff.new_scal(3))
assert x.val == pytest.approx(-0.1425465430742778)
assert x.der == pytest.approx(1.020319516942427)
y = 2
assert Elems.tan(y) == np.tan(y)
def test_exp(self):
x = Elems.exp(FADiff.new_scal(3))
assert x.val == pytest.approx(20.085536923187668)
assert x.der == pytest.approx(20.085536923187668)
y = 10
assert Elems.exp(y) == np.exp(y)
def test_logistic_reverse(self):
FADiff.set_mode('reverse')
x = FADiff()
x = x.new_scal(2)
x = Elems.logistic(x)
assert x.val == pytest.approx(0.8807970779778823)
y = 4
assert Elems.logistic(y) == pytest.approx(0.9820137900379085)
def test_cos_reverse(self):
FADiff.set_mode('reverse')
x = Elems.cos(FADiff.new_scal(3))
assert x.val == pytest.approx(-0.9899924966004454)
assert x.der == pytest.approx(-0.1411200080598672)
y = 2
assert Elems.cos(y) == np.cos(y)
def test_exp_reverse(self):
FADiff.set_mode('reverse')
x = Elems.exp(FADiff.new_scal(3))
assert x.val == pytest.approx(20.085536923187668)
assert x.der == pytest.approx(20.085536923187668)
y = 10
assert Elems.exp(y) == np.exp(y)
def test_cosh_reverse(self):
FADiff.set_mode('reverse')
x = Elems.cosh(FADiff.new_scal(0.3))
assert x.val == pytest.approx(1.04533851)
assert x.der == pytest.approx(0.30452029)
y = 4
assert Elems.cosh(y) == np.cosh(y)
def test_arccos_reverse(self):
FADiff.set_mode('reverse')
x = Elems.arccos(FADiff.new_scal(0.3))
assert x.val == pytest.approx(1.2661036727794992)
with pytest.warns(RuntimeWarning):
Elems.arccos(19)
y = -0.4
assert Elems.arccos(y) == np.arccos(y)
def test_arcsin_reverse(self):
FADiff.set_mode('reverse')
x = Elems.arcsin(FADiff.new_scal(0.3))
assert x.val == pytest.approx(0.30469265)
with pytest.warns(RuntimeWarning):
Elems.arcsin(-19)
y = -0.4
assert Elems.arcsin(y) == np.arcsin(y)
def test_sqrt_reverse(self):
FADiff.set_mode('reverse')
x = Elems.sqrt(FADiff.new_scal(3))
assert x.val == pytest.approx(1.7320508075688772)
y = 2
assert Elems.sqrt(y) == np.sqrt(y)
z = Elems.sqrt(FADiff.new_scal(-1))
with pytest.raises(AssertionError):
assert z.val == 1
def test_sin_reverse(self):
x = FADiff()
x.set_mode('reverse')
x = x.new_scal(3)
a = Elems.sin(x)
assert a.val == pytest.approx(0.1411200080598672)
assert a.der == pytest.approx(-0.9899924966004454)
y = 2
assert Elems.sin(y) == np.sin(y)
f'{x.der}') # derivatives for input vars used in calculation
print(f'y.val --> '
f'{y.val}') # Should be [5]
print(f'y._der --> ' # '_der' is a dictionary containing the
f'{y._der}') # partial derivatives for a var
print(f'y.der --> '
f'{y.der}') # Should be [1]
print(f'z.val --> '
f'{z.val}') # Should be [3]
print(f'z._der --> ' # '_der' is a dictionary containing the
f'{z._der}') # partial derivatives for a var
print(f'z.der --> '
f'{z.der}') # Should be [1]
print(f'\ncheck = x * y + ef.sin(x)')
check = x * y + ef.sin(x)
print(f'check.val --> '
f'{check.val}') # Should be [10.909...]
print(f'check.der --> '
f'{check.der}') # Should be [4.583..., 2]
print(f'check._der.get(x) --> '
f'{check._der.get(x)}') # Should be 4.583...
print(f'check._der.get(y) --> '
f'{check._der.get(y)}') # Should be 2
print(f'\ncheck = ef.sin(x + y)')
check = ef.sin(x + y)
print(f'check.val --> '
f'{check.val}') # Should be [0.656...]
print(f'check.der --> '
f'{check.der}')