Tangent¶

class
pyADiff.tangent.
ADTypeT
(value, derivative=0.0)¶ Tangent ADType.
This class overloads the basic numerical type of python. Instead of only an value it also stores a derivative.
This class implements the numerical operators (+, , .. ) as expected for a numerical type, but additionaly accumulates the partial derivatives.
Basic mathematical functions (sin, cos, exp, …) are implemented as member functions and also accumulate the partial derivatives.
Parameters:  value (float or ADType) – The value of the overloaded numerical type.
 deriative (float or ADType) – The derivative of the overloaded numerical type.
See also
pyADiff.math_functions
 Implementation of basic mathematical functions for the ADType.

derivative
¶ Derivative of the overloaded numerical type.

value
¶ Value of the overloaded numerical type.

pyADiff.tangent.
dfdx
(f, x_v)¶ Tangent Differentiation Driver.
This computes the derivative of f with respect to x at the position x_v. The signature of f is assumed to be:
{scalar, list, array} = f({scalar, list, array})
This function converts the inputs x_v to their respective ADTypeT and successively sets their derivative to 1, runs the function f and collects the derivative values from the outputs y = f(x). If x is scalar only one forward run of f is necessary.
Parameters:  f (function_type) – The function to differentiate.
 x_v (scalar, list, array) – The value where to evaluate the derivative.
See also
pyADiff.differentiation.derfor()
 Wrapper for the comutation of the derivative via tangent mode.