package owl-base

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Module Owl_numdiff_generic_sig.ImplSource

Parameters

module A : Owl_types.Ndarray_Numdiff with type elt = float

Signature

Type definition
Sourcetype arr

General ndarray type

Sourcetype elt

Scalar type

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

derivative of ``f : scalar -> scalar``.

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

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

Sourceval diff2 : (elt -> elt) -> elt -> elt

second order derivative of ``f : float -> float``.

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

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

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

gradient of ``f : vector -> scalar``.

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

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

Sourceval jacobian : (arr -> arr) -> arr -> arr

jacobian of ``f : vector -> vector``.

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

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

Sourceval jacobianT : (arr -> arr) -> arr -> arr

transposed jacobian of ``f : vector -> vector``.

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

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