# Mathematical Functions¶

Module Mathematical Functions

Collection of the suppported, overloaded mathematical functions (e.g. sin, cos, exp, ..).

The ADTypes implement these functions as member functions. So in case the input a is an ADType, calling the respective member returns a new ADType with the calculated value (and its derivative representation). If the input a does not implement the mathematical function, a AttributeError is raised and we fall back to the numpy implementation.

pyADiff.tangent.ADTypeT
pyADiff.adjoint.ADTypeA
pyADiff.math_functions.sin(a)

Sine.

Implements the overload of the sine function.

Parameters: a (scalar, array of float or ADType) – Input of the function.
pyADiff.math_functions.cos(a)

Cosine.

Implements the overload of the cosine function.

Parameters: a (scalar, array of float or ADType) – Input of the function.
pyADiff.math_functions.exp(a)

Exponential.

Implements the overload of the exponential function.

Parameters: a (scalar, array of float or ADType) – Input of the function.
pyADiff.math_functions.log(a)

Logarithm.

Implements the overload of the logarithm function.

Parameters: a (scalar, array of float or ADType) – Input of the function.
pyADiff.math_functions.sqrt(a)

Square root.

Implements the overload of the square root function.

Parameters: a (scalar, array of float or ADType) – Input of the function.