def Demo_gradient(x):
x=DualNumber(x);
y=-EF.Sin(x)*EF.Cos(x)*EF.Tan(x)+EF.Exp(x)*EF.Log(x)*EF.Sqrt(x)*2
return y.der #y=sin(x)cos(x)tan(x)-2exp(x)log(x)sqrt(x)
def rm_test_Sqrt():
Test_Dual_Number_1 = DualNumber(0.5,Reverse=True)
assert EF.Sqrt(Test_Dual_Number_1).val == np.sqrt(0.5) and EF.Sqrt(Test_Dual_Number_1).der == 0
def Given_function(x):
x = DualNumber(x)
y = EF.Sin(x) * EF.Cos(x) * EF.Tan(x) - EF.Exp(x) * EF.Log(x) * EF.Sqrt(
x) * 2
return y #y=sin(x)cos(x)tan(x)-2exp(x)log(x)sqrt(x)
def test_Sqrt():
Test_Dual_Number_1 = DualNumber(0.5)
assert EF.Sqrt(Test_Dual_Number_1).val == np.sqrt(0.5) and EF.Sqrt(Test_Dual_Number_1).der == 1 / np.sqrt(
0.5) / 2
Test_Dual_Number_1 = 0.5
assert EF.Sqrt(Test_Dual_Number_1).val == np.sqrt(0.5) and EF.Sqrt(Test_Dual_Number_1).der == 0
