def test_Log():
Test_Dual_Number_1 = DualNumber(1)
assert EF.Log(Test_Dual_Number_1).val == 0 and EF.Log(Test_Dual_Number_1).der == 1
Test_Dual_Number_1 = 1
assert EF.Log(Test_Dual_Number_1).val == 0 and EF.Log(Test_Dual_Number_1).der == 0
Test_Dual_Number_1 = DualNumber(2)
assert EF.Log(Test_Dual_Number_1,base=10).val == np.log(2) / np.log(10) and EF.Log(Test_Dual_Number_1,base=10).der == 1/(np.log(10)*2)
Test_Dual_Number_1 = 2
assert EF.Log(Test_Dual_Number_1,base=10).val == np.log(2) / np.log(10) and EF.Log(Test_Dual_Number_1,base=10).der == 0
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 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 rm_test_Log():
Test_Dual_Number_1 = DualNumber(1,Reverse=True)
assert EF.Log(Test_Dual_Number_1).val == 0 and EF.Log(Test_Dual_Number_1).der == 0
Test_Dual_Number_1 = DualNumber(2,Reverse=True)
assert EF.Log(Test_Dual_Number_1,base=10).val == np.log(2) / np.log(10) and EF.Log(Test_Dual_Number_1,base=10).der == 0