fadbadml 0.1.2 (latest) · OCaml Package

Re-define usual operators to compute values and derivatives for elements of type T.t in backward mode.

parameter T
module of operators over the underlying type on which we perform automatic differentiation

Parameters

module T : sig ... end

Signature

type t

type elt = T.elt

Type of values: this is the type that the user should use with make and that will be returned by get

type scalar = T.scalar

Type of scalars

val copy : t -> t

val deepcopy : t -> t

Constructors

val create : unit -> t

val make : elt -> t

Wrap a user-provided value

val integer : int -> t

Wrap an integer

val zero : unit -> t

Construct a fresh value corresponding to 0

val one : unit -> t

Construct a fresh value corresponding to 1

val two : unit -> t

Construct a fresh value corresponding to 2

Destructors

val get : t -> elt

Unwrap a value

val (!!) : t -> elt

Alias for get

val to_string : t -> string

val string_of_scalar : scalar -> string

val string_of_elt : elt -> string

Arithmetic operators

val (~+) : t -> t

unary plus (with copy)

val (~-) : t -> t

unary minus (with copy)

val (+) : t -> t -> t

val (+=) : t -> t -> t

val (-) : t -> t -> t

val (-=) : t -> t -> t

val (*) : t -> t -> t

val (*=) : t -> t -> t

val (/) : t -> t -> t

val (/=) : t -> t -> t

val (**) : t -> t -> t

val inv : t -> t

val sqr : t -> t

val sqrt : t -> t

val log : t -> t

val exp : t -> t

val sin : t -> t

val cos : t -> t

val tan : t -> t

val asin : t -> t

val acos : t -> t

val atan : t -> t

Scalar operators

val scale : t -> scalar -> t

Multiplication between a value and a scalar

val translate : t -> scalar -> t

Addition between a value and a scalar

Comparison operators

val (=) : t -> t -> bool

val (<>) : t -> t -> bool

Operators

type op = ..

type op +=

| CONST
| SCALE of scalar
| TRANS of scalar
| ADD
| SUB
| MUL
| DIV
| POW
| POS
| NEG
| INV
| SQR
| SQRT
| EXP
| LOG
| SIN
| COS
| TAN
| ASIN
| ACOS
| ATAN

Additionnal constructors

val lift : T.t -> t

Accessors

val value : t -> T.t

Same as get but returns an T.t instead of an elt

Automatic Differentiation

val diff : t -> int -> int -> unit

diff x i n assigns i as index of variable x out of n

val d : t -> int -> elt

d f i retrieves the derivative of variable of index i in computation f as an elt. Must be called after diff and compute.

val deriv : t -> int -> T.t

Same as d but returns an T.t instead of an elt

val compute : t -> unit

compute f updates the reference counter of the nodes in the sub-graph starting from f so that they are propagated at the right moment. Must be called before d or deriv.

val compute_list : t list -> unit

Same as running compute on each element of the input list.

Printers

val fprint : Format.formatter -> t -> unit

package fadbadml