mirror of
https://gitlab.com/scemama/QCaml.git
synced 2024-11-14 01:53:39 +01:00
145 lines
4.1 KiB
OCaml
145 lines
4.1 KiB
OCaml
(** Vector module
|
|
|
|
This module encapsulates the [Vec] module of Lacaml, to facilitate the change of backend
|
|
in the future, or to easily implement distributed vectors.
|
|
|
|
The indexing of vectors is 1-based.
|
|
*)
|
|
|
|
open Lacaml.D
|
|
|
|
type 'a t
|
|
(* Parameter ['a] defines the basis on which the vector is expanded. *)
|
|
|
|
val relabel : 'a t -> 'b t
|
|
|
|
val dim : 'a t -> int
|
|
(** Returns the dimension of the vector *)
|
|
|
|
val add : 'a t -> 'a t -> 'a t
|
|
(** [c = add a b] : %{ $c = a + b$ %} *)
|
|
|
|
val sub : 'a t -> 'a t -> 'a t
|
|
(** [c = sub a b] : %{ $c = a - b$ %} *)
|
|
|
|
val mul : 'a t -> 'a t -> 'a t
|
|
(** [c = mul a b] : %{ $c_i = a_i \times b_i$ %} *)
|
|
|
|
val div : 'a t -> 'a t -> 'a t
|
|
(** [c = div a b] : %{ $c_i = a_i / b_i$ %} *)
|
|
|
|
val dot : 'a t -> 'a t -> float
|
|
(** [dot v1 v2] : Dot product between v1 and v2 *)
|
|
|
|
val norm : 'a t -> float
|
|
(** Norm of the vector : %{ ||v|| = $\sqrt{v.v}$ %} *)
|
|
|
|
val sqr : 'a t -> 'a t
|
|
(** [sqr t = map (fun x -> x *. x) t] *)
|
|
|
|
val sqrt : 'a t -> 'a t
|
|
(** [sqrt t = map sqrt t] *)
|
|
|
|
val neg : 'a t -> 'a t
|
|
(** [neg t = map (f x -> -. x) t *)
|
|
|
|
val reci : 'a t -> 'a t
|
|
(** [reci t = map (f x -> 1./x) t *)
|
|
|
|
val abs : 'a t -> 'a t
|
|
(** [abs t = map (f x -> abs_float x) t *)
|
|
|
|
val cos : 'a t -> 'a t
|
|
(** [cos t = map (f x -> cos x) t *)
|
|
|
|
val sin : 'a t -> 'a t
|
|
(** [sin t = map (f x -> sin x) t *)
|
|
|
|
val tan : 'a t -> 'a t
|
|
(** [tan t = map (f x -> tan x) t *)
|
|
|
|
val acos : 'a t -> 'a t
|
|
(** [acos t = map (f x -> acos x) t *)
|
|
|
|
val asin : 'a t -> 'a t
|
|
(** [asin t = map (f x -> asin x) t *)
|
|
|
|
val atan : 'a t -> 'a t
|
|
(** [atan t = map (f x -> atan x) t *)
|
|
|
|
val amax : 'a t -> float
|
|
(** Maximum of the absolute values of the elements of the vector. *)
|
|
|
|
val normalize : 'a t -> 'a t
|
|
(** Returns the vector normalized *)
|
|
|
|
val init : int -> (int -> float) -> 'a t
|
|
(** Initialize the vector with a function taking the index as parameter.*)
|
|
|
|
val sum : 'a t -> float
|
|
(** Returns the sum of the elements of the vector *)
|
|
|
|
val copy : ?n:int -> ?ofsy:int -> ?incy:int -> ?y:vec -> ?ofsx:int -> ?incx:int -> 'a t -> 'a t
|
|
(** Returns a copy of the vector X into Y. [ofs] controls the offset and [inc]
|
|
the increment. *)
|
|
|
|
val map : (float -> float) -> 'a t -> 'a t
|
|
(** Equivalent to [Array.map] *)
|
|
|
|
val iter : (float -> unit) -> 'a t -> unit
|
|
(** Equivalent to [Array.iter] *)
|
|
|
|
val iteri : (int -> float -> unit) -> 'a t -> unit
|
|
(** Equivalent to [Array.iteri] *)
|
|
|
|
val of_array : float array -> 'a t
|
|
(** Converts an array of floats into a vector *)
|
|
|
|
val of_list : float list -> 'a t
|
|
(** Converts a list of floats into a vector *)
|
|
|
|
val to_array : 'a t -> float array
|
|
(** Converts to an array of floats *)
|
|
|
|
val to_list : 'a t -> float list
|
|
(** Converts to a list of floats *)
|
|
|
|
val create : int -> 'a t
|
|
(** Creates an uninitialized vector *)
|
|
|
|
val make : int -> float -> 'a t
|
|
(** Creates a vector initialized with the given [float].*)
|
|
|
|
val make0 : int -> 'a t
|
|
(** Creates a zero-initialized vector.*)
|
|
|
|
val fold : ('a -> float -> 'a) -> 'a -> 'b t -> 'a
|
|
(** Equivalent to [Array.fold] *)
|
|
|
|
val random : ?rnd_state:Random.State.t -> ?from:float -> ?range:float -> int -> 'a t
|
|
(** Returns a vector of uniform random numbers %{ $ f \le u \le f+r $
|
|
%} where [f] is [from] and [r] is [range].
|
|
Default values: [from:-1.0] [range:2.0] *)
|
|
|
|
(*
|
|
val of_bigarray : (float, Stdlib.Bigarray.float64_elt, Stdlib.Bigarray.fortran_layout) Stdlib.Bigarray.Array1.t -> 'a t
|
|
(** Builds by converting from a Fortran bigarray *)
|
|
|
|
val to_bigarray : 'a t -> (float, Stdlib.Bigarray.float64_elt, Stdlib.Bigarray.fortran_layout) Stdlib.Bigarray.Array1.t
|
|
(** Converts the vector into a Fortran bigarray *)
|
|
*)
|
|
|
|
val of_bigarray_inplace : (float, Stdlib.Bigarray.float64_elt, Stdlib.Bigarray.fortran_layout) Stdlib.Bigarray.Array1.t -> 'a t
|
|
(** Builds by converting from a Fortran bigarray *)
|
|
|
|
val to_bigarray_inplace : 'a t -> (float, Stdlib.Bigarray.float64_elt, Stdlib.Bigarray.fortran_layout) Stdlib.Bigarray.Array1.t
|
|
(** Converts the vector into a Fortran bigarray *)
|
|
|
|
|
|
val (%.) : 'a t -> int -> float
|
|
(** [t%.(i)] Returns the i-th element of the vector *)
|
|
|
|
val set : 'a t -> int -> float -> unit
|
|
(** Modifies the value in-place at the i-th position *)
|
|
|