Python ElementaryFunctions Examples

Example #1

def test_ArcCos():
    Test_Dual_Number_1 = DualNumber(0.5)
    assert EF.ArcCos(Test_Dual_Number_1).val == np.arccos(0.5) and EF.ArcCos(Test_Dual_Number_1).der == -1 / np.sqrt(
        0.75)
    Test_Dual_Number_1 = 0.5
    assert EF.ArcCos(Test_Dual_Number_1).val == np.arccos(0.5) and EF.ArcCos(Test_Dual_Number_1).der == 0
    with pytest.raises(ValueError):
        x = DualNumber(5)
        EF.ArcCos(x)

Example #2

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

Example #3

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

Example #4

def rm_test_Power():
    Test_Dual_Number_2 = DualNumber(2,Reverse=True)
    assert EF.Power(Test_Dual_Number_2, 2).val == 4 and EF.Power(Test_Dual_Number_2, 2).der == 0

Example #5

def rm_test_exp():
    Test_Dual_Number_1 = DualNumber(1,Reverse=True)
    assert EF.Exp(Test_Dual_Number_1).val == np.exp(1) and EF.Exp(Test_Dual_Number_1).der == 0

Example #6

def rm_test_cos():
    Test_Dual_Number_1 = DualNumber(1,Reverse=True)
    assert EF.Cos(Test_Dual_Number_1).val == np.cos(1) and EF.Cos(Test_Dual_Number_1).der == 0

Example #7

def test_exp():
    Test_Dual_Number_1 = DualNumber(1)
    assert EF.Exp(Test_Dual_Number_1).val == np.exp(1) and EF.Exp(Test_Dual_Number_1).der == np.exp(1)
    Test_Dual_Number_1 = 1
    assert EF.Exp(Test_Dual_Number_1).val == np.exp(1) and EF.Exp(Test_Dual_Number_1).der == 0

Example #8

File: driver.py Project: ssadhuka/cs207-FinalProject

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)

Example #9

def rm_test_tanh():
    Test_Dual_Number_1 = DualNumber(1,Reverse=True)
    assert EF.Tanh(Test_Dual_Number_1).val == np.tanh(1) and EF.Tanh(Test_Dual_Number_1).der == 0

Example #10

def test_tanh():
    Test_Dual_Number_1 = DualNumber(1)
    assert EF.Tanh(Test_Dual_Number_1).val == np.tanh(1) and round(EF.Tanh(Test_Dual_Number_1).der,8) == round((1 / np.cosh(1)**2),8)
    Test_Dual_Number_1 = 1
    assert EF.Tanh(Test_Dual_Number_1).val == np.tanh(1) and EF.Tanh(Test_Dual_Number_1).der == 0

Example #11

def test_cosh():
    Test_Dual_Number_1 = DualNumber(1)
    assert EF.Cosh(Test_Dual_Number_1).val == np.cosh(1) and EF.Cosh(Test_Dual_Number_1).der == np.sinh(1)
    Test_Dual_Number_1 = 1
    assert EF.Cosh(Test_Dual_Number_1).val == np.cosh(1) and EF.Cosh(Test_Dual_Number_1).der == 0

Example #12

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

Example #13

def test_ArcTan():
    Test_Dual_Number_1 = DualNumber(0.5)
    assert EF.ArcTan(Test_Dual_Number_1).val == np.arctan(0.5) and EF.ArcTan(Test_Dual_Number_1).der == 1 / 1.25
    Test_Dual_Number_1 = 0.5
    assert EF.ArcTan(Test_Dual_Number_1).val == np.arctan(0.5) and EF.ArcTan(Test_Dual_Number_1).der == 0

Example #14

def test_Power():
    Test_Dual_Number_2 = DualNumber(2)
    assert EF.Power(Test_Dual_Number_2, 2).val == 4 and EF.Power(Test_Dual_Number_2, 2).der == 4
    Test_Dual_Number_2 = 2
    assert EF.Power(Test_Dual_Number_2, 2).val == 4 and EF.Power(Test_Dual_Number_2, 2).der == 0

Example #15

def rm_test_ArcTan():
    Test_Dual_Number_1 = DualNumber(0.5,Reverse=True)
    assert EF.ArcTan(Test_Dual_Number_1).val == np.arctan(0.5) and EF.ArcTan(Test_Dual_Number_1).der == 0

Example #16

def test_Logistic():
    Test_Dual_Number_1 = DualNumber(1)
    assert EF.Logistic(Test_Dual_Number_1).val == 1 / (1 + np.exp(-1)) and round(EF.Logistic(Test_Dual_Number_1).der,8) == round(np.exp(-1) / (1+np.exp(-1))**2,8)
    Test_Dual_Number_1 = 1
    assert EF.Logistic(Test_Dual_Number_1).val == 1 / (1 + np.exp(-1)) and EF.Logistic(Test_Dual_Number_1).der == 0

Example #17

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

Example #18

def test_data_type_check():
    x = 'x'
    try:
        EF.data_type_check(x)
    except AttributeError:
        return 0

Example #19

def rm_test_Logistic():
    Test_Dual_Number_1 = DualNumber(1,Reverse=True)
    assert EF.Logistic(Test_Dual_Number_1).val == 1 / (1 + np.exp(-1)) and EF.Logistic(Test_Dual_Number_1).der == 0

Example #20

def rm_test_sin():
    Test_Dual_Number_1 = DualNumber(1,Reverse=True)
    assert EF.Sin(Test_Dual_Number_1).val == np.sin(1) and EF.Sin(Test_Dual_Number_1).der == 0

Example #21

File: Adam.py Project: ssadhuka/cs207-FinalProject

 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)

Example #22

def test_sin():
    Test_Dual_Number_1 = DualNumber(1)
    assert EF.Sin(Test_Dual_Number_1).val == np.sin(1) and EF.Sin(Test_Dual_Number_1).der == np.cos(1)
    Test_Dual_Number_1 = 1
    assert EF.Sin(Test_Dual_Number_1).val == np.sin(1) and EF.Sin(Test_Dual_Number_1).der == 0