def test_cos_s(s):
def value(x):
return math.cos(x)
output = ad.cos(s)
assert output.value == pytest.approx(value(s))
assert output.derivatives == {}
def test_cos_sm(m):
def value(x):
return math.cos(x)
output = ad.cos(m)
for i in range(len(m)):
assert output.value[i] == pytest.approx(value(m[i]))
assert output.derivatives == {}
def test_cos_d(b):
def value(x):
return math.cos(x)
def der(x):
return -math.sin(x)
output = ad.cos(b)
assert output.value == pytest.approx(value(b.value))
coef = der(b.value)
assert output.derivatives == pytest.approx({
'x': coef * 1.2,
'y': coef * 9.5,
'z': coef * 5
})
def test_cos_dm(dm):
def value(x):
return math.cos(x)
def der(x):
return -math.sin(x)
output = ad.cos(dm)
for i in range(len(dm.value)):
assert output.value[i] == pytest.approx(value(dm.value[i]))
coef = der(dm.value[i])
assert output.derivatives['x'][i] == pytest.approx(
coef * dm.derivatives['x'][i])
assert output.derivatives['y'][i] == pytest.approx(
coef * dm.derivatives['y'][i])
assert output.derivatives['z'][i] == pytest.approx(
coef * dm.derivatives['z'][i])
def test5(x): output = math.e**(-(x+ad.cos(3*x)**2)**0.5)*ad.sin(x*ad.log(1+x**2,math.e)) assert output.value == -0.013972848911640818 assert output.derivatives['x'] == -0.5684464955717082
def test2(x): output = d*(b**x) * x**c-ad.cos(x)/x assert output.value == -739.8719265817265 assert output.derivatives['x'] == -2410.7248756178847
def test_cos_no_change(b):
b_d = b.derivatives
output = ad.cos(b)
assert b_d == b.derivatives