AbstractDiffBackend

An abstract type for diff backends. See FiniteDifferencesBackend for an example.

CurrentDiffBackend(backend::AbstractDiffBackend)

A mutable struct for storing the current differentiation backend in a global constant _current_default_differential_backend.

See also

AbstractDiffBackend, default_differential_backend, set_default_differential_backend!

_current_default_differential_backend

The instance of CurrentDiffBackend that stores the globally default differentiation backend.

_hessian(f, p[, backend::AbstractDiffBackend])

Compute the Hessian of a callable f at point p computed using the given backend, an object of type AbstractDiffBackend. If the backend is not explicitly specified, it is obtained using the function default_differential_backend.

This function calculates plain Euclidean Hessian.

_jacobian(f, p[, backend::AbstractDiffBackend])

Compute the Jacobian of a callable f at point p computed using the given backend, an object of type AbstractDiffBackend. If the backend is not explicitly specified, it is obtained using the function default_differential_backend.

This function calculates plain Euclidean Jacobians, for Riemannian Jacobian calculation see for example gradient.

_gradient(f, p[, backend::AbstractDiffBackend])

Compute the gradient of a callable f at point p computed using the given backend, an object of type AbstractDiffBackend. If the backend is not explicitly specified, it is obtained using the function default_differential_backend.

This function calculates plain Euclidean gradients, for Riemannian gradient calculation see for example gradient.

_derivative(f, t[, backend::AbstractDiffBackend])

Compute the derivative of a callable f at time t computed using the given backend, an object of type AbstractDiffBackend. If the backend is not explicitly specified, it is obtained using the function default_differential_backend.

This function calculates plain Euclidean derivatives, for Riemannian differentiation see for example differential.