Module Owl_numdiff_generic_sig.Impl

Parameters

module A : Owl_types.Ndarray_Numdiff with type elt = float

Signature

Type definition
type arr

General ndarray type

type elt

Scalar type

Basic functions
val diff : (elt -> elt) -> elt -> elt

derivative of f : scalar -> scalar.

val diff' : (elt -> elt) -> elt -> elt * elt

derivative of f : scalar -> scalar, return both f x and f' x.

val diff2 : (elt -> elt) -> elt -> elt

second order derivative of f : float -> float.

val diff2' : (elt -> elt) -> elt -> elt * elt

second order derivative of f : float -> float, return f x and f' x.

val grad : (arr -> elt) -> arr -> arr

gradient of f : vector -> scalar.

val grad' : (arr -> elt) -> arr -> arr * arr

gradient of f : vector -> scalar, return f x and g x.

val jacobian : (arr -> arr) -> arr -> arr

jacobian of f : vector -> vector.

val jacobian' : (arr -> arr) -> arr -> arr * arr

jacobian of f : vector -> vector, return f x and j x.

val jacobianT : (arr -> arr) -> arr -> arr

transposed jacobian of f : vector -> vector.

val jacobianT' : (arr -> arr) -> arr -> arr * arr

transposed jacobian of f : vector -> vector, return f x and j x.