Make (u.93a629adbb7d92d6522b906e5c0897ef.prbnmcn-linalg.0.0.1.doc.prbnmcn-linalg.Linalg.Vec.Make)

Parameters

module Repr : Basic_structures.Basic_intf.Lang.Empty

module Monad : Basic_structures.Basic_intf.Codegen_monad with type 'a m = 'a Repr.m

module S : Basic_structures.Basic_intf.Lang.Shape with type 'a m = 'a Repr.m

module B : Basic_structures.Basic_intf.Lang.Bool with type 'a m = 'a Repr.m

module R : Basic_structures.Basic_intf.Lang.Ring with type 'a m = 'a Repr.m

module R_storage : 
  Basic_structures.Basic_intf.Lang.Storage
    with type 'a m = 'a Repr.m
     and type elt = R.t

module E : Basic_structures.Basic_intf.Lang.Exn with type 'a m = 'a Repr.m

module M : Basic_structures.Basic_intf.Lang.Sequencing with type 'a m = 'a Repr.m

Signature

Sourcetype 'a k = 'a Monad.t

Ambient monad.

Sourcetype 'a m = 'a Repr.m

Representation.

Sourcetype 'a shape = 'a S.t

Type of shapes.

Sourcetype ('a, 'b) morphism = ('a, 'b) S.Morphism.t

Type of shape morphisms.

Sourcetype elt = R.t

Type of elements.

Sourcetype 'i t = ('i shape, 'i m, elt m) Intf.vec

Sourcetype 'i out = ('i shape, 'i m, elt m, unit m) Intf.ovec

Sourceval idim : 'i t -> 'i shape

Dimensions of an input vector.

Sourceval odim : 'i out -> 'i shape

Dimensions of an output vector.

Sourceval make : 'i shape -> ('i m -> elt m) -> 'i t

Creates an input vector from a dimension and a function.

Sourceval pullback : ('j, 'i) morphism -> 'i t -> 'j t k

Pullback a vector along a shape morphism.

Sourceval get : 'i t -> 'i m -> elt m k

Get an elemement of an input vector.

raises Out_of_bounds
if given index is not in the domain of the vector.

Sourceval unsafe_get : 'i t -> 'i m -> elt m

Get an elemement of an input vector. Does not perform bound checking.

Sourceval set : 'i out -> 'i m -> elt m -> unit m k

Set an elemement in an output vector.

raises Out_of_bounds
if given index is not in the domain of the vector.

Source

val map : 
  ('a m -> 'b m) ->
  ('i shape, 'i m, 'a m) Intf.vec ->
  ('i shape, 'i m, 'b m) Intf.vec

Source

val mapi : 
  ('i m -> 'a m -> 'b m) ->
  ('i shape, 'i m, 'a m) Intf.vec ->
  ('i shape, 'i m, 'b m) Intf.vec

Source

val map2 : 
  ('a m -> 'b m -> 'c m) ->
  ('i shape, 'i m, 'a m) Intf.vec ->
  ('i shape, 'i m, 'b m) Intf.vec ->
  ('i shape, 'i m, 'c m) Intf.vec k

Source

val map2i : 
  ('i m -> 'a m -> 'b m -> 'c m) ->
  ('i shape, 'i m, 'a m) Intf.vec ->
  ('i shape, 'i m, 'b m) Intf.vec ->
  ('i shape, 'i m, 'c m) Intf.vec k

Source

val assign : 
  ('i shape, 'i m, 'a m, unit m) Intf.ovec ->
  ('i shape, 'i m, 'a m) Intf.vec ->
  ('i shape, 'i m, unit m) Intf.vec k

Sourceval zero : 'i shape -> 'i t

Everywhere zero vector.

Sourceval one : 'i shape -> 'i t

Everywhere one vector.

Sourceval const : 'i shape -> elt m -> 'i t

Constant vector.

Sourceval basis : 'i shape -> 'i m -> elt m -> 'i t k

basis s i r is the vector of shape s everywhere equal to R.zero except at index i where it is equal to r. Raises Out_of_bounds if i does not belong to s.

Sourceval add : 'i t -> 'i t -> 'i t k

Pointwise addition. Raises Dimensions_mismatch if the shape of operands are not equal.

Sourceval sub : 'i t -> 'i t -> 'i t k

Pointwise subtraction. Raises Dimensions_mismatch if the shape of operands are not equal.

Sourceval mul : 'i t -> 'i t -> 'i t k

Pointwise multiplication. Raises Dimensions_mismatch if the shape of operands are not equal.

Sourceval neg : 'i t -> 'i t

Pointwise negation.

Sourceval smul : elt m -> 'i t -> 'i t

Multiplication by a scalar.

Sourceval swap : 'i m -> 'i m -> 'i t -> 'i t k

Swapping of indices. Raises Out_of_bounds if given indices are invalid.

Sourceval iter : ('i shape, 'i m, unit m) Intf.vec -> unit m

iter v iterates the effectful computation at each index

Source

val reduce : 
  (elt m -> elt m -> elt m) ->
  elt m ->
  ('i shape, 'i m, elt m) Intf.vec ->
  elt m

reduce op zero v folds the binary, associative operator op over the elements of v with initial value zero. Fold ordering is implementation-dependent: consider using commutative operators.

Source

val (:=) : 
  ('i shape, 'i m, 'a m, unit m) Intf.ovec ->
  ('i shape, 'i m, 'a m) Intf.vec ->
  unit m k

Vector assignement.

raises Dimensions_mismatch
if the size of operands are not equal.

Sourceval add_ : 'i out -> 'i t -> 'i t -> unit m k

Pointwise addition, stores result in first operand.

raises Dimensions_mismatch
if the size of operands are not equal.

Sourceval sub_ : 'i out -> 'i t -> 'i t -> unit m k

Pointwise subtraction, stores result in first operand.

raises Dimensions_mismatch
if the size of operands are not equal.

Sourceval mul_ : 'i out -> 'i t -> 'i t -> unit m k

Pointwise multiplication, stores result in first operand.

raises Dimensions_mismatch
if the size of operands are not equal.

Sourceval dot : 'i t -> 'i t -> elt m k

Dot product.

raises Dimensions_mismatch
if the size of operands are not equal.

Sourcemodule Infix : sig ... end