DynamicDiff

OperatorDerivative{F,degree,arg} <: Function

A callable type representing the partial derivative of an operator. Takes either one (degree=1) or two (degree=2) scalar arguments. Returns a scalar.

Parameters

• F: The type of the original operator
• degree: The arity of the operator (1 for unary, 2 for binary)
• arg: Which argument to take the derivative with respect to

Fields

• op: The actual function performing the partial derivative.

D(ex::AbstractExpression, feature::Integer)

Compute the derivative of ex with respect to the feature-th variable. Returns a new expression with an expanded set of operators.

operator_derivative(op::F, ::Val{degree}, ::Val{arg}) where {F,degree,arg}

Create a partial derivative operator of a given function op with respect to argument arg.

Arguments

• op: The operator to differentiate
• degree: The arity of the operator (1 for unary, 2 for binary)
• arg: Which argument to take the derivative with respect to