def cosh(obj: AADVariable) -> AADVariable:
"""
SINH OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.cosh(val)
n_der = der * np.sinh(val)
return AADVariable(n_val, n_der, name=name)
def tan(obj: AADVariable) -> AADVariable:
"""
TAN OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.tan(val)
n_der = der * 1 / (np.cos(val)**2)
return AADVariable(n_val, n_der, name=name)
def log(obj: AADVariable) -> AADVariable:
"""
LOG BASE E OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.log(val)
n_der = der * 1 / (val)
return AADVariable(n_val, n_der, name=name)
def abs(obj: AADVariable) -> AADVariable:
"""
ABSOLUTE VALUE OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.abs(val)
n_der = der * val / np.abs(val)
return AADVariable(n_val, n_der, name=name)
def sqrt(obj: AADVariable) -> AADVariable:
"""
ARCTAN OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.sqrt(val)
n_der = der * 0.5 * 1 / (np.sqrt(val))
return AADVariable(n_val, n_der, name=name)
def arctan(obj: AADVariable) -> AADVariable:
"""
ARCTAN OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.arctan(val)
n_der = der * 1 / (val**2 + 1) #
return AADVariable(n_val, n_der, name=name)
def arccos(obj: AADVariable) -> AADVariable:
"""
ARCCOS OPERATOR:
INPUT: REAL NUMBER OR AAD-VARIABLE
RETURNS: AAD-VARIABLE TYPE
"""
name = obj.name
val = obj.val
der = obj.der
n_val = np.arccos(val)
n_der = der * -1 / (np.sqrt(1 - (val**2))) #
return AADVariable(n_val, n_der, name=name)