package owl

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OCaml Scientific and Engineering Computing

Install

Dune Dependency

github.com Readme Changelog MIT License Edit opam file Versions (16)

Authors

L

Liang Wang

Maintainers

L

Liang Wang <ryanrhymes@gmail.com>

Sources

owl-1.0.2.tbz

sha256=38d210ce6c1c2f09631fd59951430e4f364b5ae036c71ed1b32ce559b2a29263

sha512=c468100556445384b9c6adad9c37b5a9b8c27db8be35f61979e65fafa88c60221b8bda0a9c06cfbbc8d4e216a1ed08a315dfefb45bb4f5f15aa82d4358f57567

doc/owl/Owl_dense_matrix_s/index.html

Module `Owl_dense_matrix_s`

type elt = float

type mat = (float, Bigarray.float32_elt) Owl_dense_matrix_generic.t

include Owl_dense_matrix_intf.Common with type elt := elt and type mat := mat

Create dense matrices

val empty : int -> int -> mat

val create : int -> int -> elt -> mat

val init : int -> int -> (int -> elt) -> mat

val init_2d : int -> int -> (int -> int -> elt) -> mat

val zeros : int -> int -> mat

val ones : int -> int -> mat

val eye : int -> mat

val sequential : ?a:elt -> ?step:elt -> int -> int -> mat

val uniform : ?a:elt -> ?b:elt -> int -> int -> mat

val gaussian : ?mu:elt -> ?sigma:elt -> int -> int -> mat

val bernoulli : ?p:float -> int -> int -> mat

val unit_basis : int -> int -> mat

val diagm : ?k:int -> mat -> mat

val triu : ?k:int -> mat -> mat

val tril : ?k:int -> mat -> mat

val symmetric : ?upper:bool -> mat -> mat

val bidiagonal : ?upper:bool -> mat -> mat -> mat

val toeplitz : ?c:mat -> mat -> mat

val hankel : ?r:mat -> mat -> mat

val hadamard : int -> mat

val magic : int -> mat

Dense row vectors and meshgrids

val vector : int -> mat

val vector_zeros : int -> mat

val vector_ones : int -> mat

val vector_uniform : int -> mat

val linspace : elt -> elt -> int -> mat

val logspace : ?base:float -> elt -> elt -> int -> mat

val meshgrid : elt -> elt -> elt -> elt -> int -> int -> mat * mat

val meshup : mat -> mat -> mat * mat

Obtain the basic properties of a matrix

val shape : mat -> int * int

val row_num : mat -> int

val col_num : mat -> int

val numel : mat -> int

val nnz : mat -> int

val density : mat -> float

val size_in_bytes : mat -> int

val same_shape : mat -> mat -> bool

val same_data : mat -> mat -> bool

Manipulate a matrix

val get : mat -> int -> int -> elt

val set : mat -> int -> int -> elt -> unit

val get_index : mat -> int array array -> elt array

val set_index : mat -> int array array -> elt array -> unit

val get_fancy : Owl_types.index list -> mat -> mat

val set_fancy : Owl_types.index list -> mat -> mat -> unit

val get_slice : int list list -> mat -> mat

val set_slice : int list list -> mat -> mat -> unit

val row : mat -> int -> mat

val col : mat -> int -> mat

val rows : mat -> int array -> mat

val cols : mat -> int array -> mat

val resize : ?head:bool -> mat -> int array -> mat

val reshape : mat -> int array -> mat

val flatten : mat -> mat

val reverse : mat -> mat

val flip : ?axis:int -> mat -> mat

val rotate : mat -> int -> mat

val reset : mat -> unit

val fill : mat -> elt -> unit

val copy : mat -> mat

val copy_row_to : mat -> mat -> int -> unit

val copy_col_to : mat -> mat -> int -> unit

val concat_vertical : mat -> mat -> mat

val concat_horizontal : mat -> mat -> mat

val concat_vh : mat array array -> mat

val concatenate : ?axis:int -> mat array -> mat

val split : ?axis:int -> int array -> mat -> mat array

val split_vh : (int * int) array array -> mat -> mat array array

val transpose : mat -> mat

val ctranspose : mat -> mat

val diag : ?k:int -> mat -> mat

val swap_rows : mat -> int -> int -> unit

val swap_cols : mat -> int -> int -> unit

val tile : mat -> int array -> mat

val repeat : mat -> int array -> mat

val pad : ?v:elt -> int list list -> mat -> mat

val dropout : ?rate:float -> mat -> mat

val top : mat -> int -> int array array

val bottom : mat -> int -> int array array

val sort : mat -> mat

val argsort : 
  mat ->
  (int64, Bigarray.int64_elt, Bigarray.c_layout) Bigarray.Genarray.t

Iterate elements, columns, and rows.

val iteri : (int -> elt -> unit) -> mat -> unit

val iter : (elt -> unit) -> mat -> unit

val mapi : (int -> elt -> elt) -> mat -> mat

val map : (elt -> elt) -> mat -> mat

val foldi : ?axis:int -> (int -> elt -> elt -> elt) -> elt -> mat -> mat

val fold : ?axis:int -> (elt -> elt -> elt) -> elt -> mat -> mat

val scani : ?axis:int -> (int -> elt -> elt -> elt) -> mat -> mat

val scan : ?axis:int -> (elt -> elt -> elt) -> mat -> mat

val filteri : (int -> elt -> bool) -> mat -> int array

val filter : (elt -> bool) -> mat -> int array

val iteri_2d : (int -> int -> elt -> unit) -> mat -> unit

val mapi_2d : (int -> int -> elt -> elt) -> mat -> mat

val foldi_2d : 
  ?axis:int ->
  (int -> int -> elt -> elt -> elt) ->
  elt ->
  mat ->
  mat

val scani_2d : ?axis:int -> (int -> int -> elt -> elt -> elt) -> mat -> mat

val filteri_2d : (int -> int -> elt -> bool) -> mat -> (int * int) array

val iter2i_2d : (int -> int -> elt -> elt -> unit) -> mat -> mat -> unit

val map2i_2d : (int -> int -> elt -> elt -> elt) -> mat -> mat -> mat

val iter2i : (int -> elt -> elt -> unit) -> mat -> mat -> unit

val iter2 : (elt -> elt -> unit) -> mat -> mat -> unit

val map2i : (int -> elt -> elt -> elt) -> mat -> mat -> mat

val map2 : (elt -> elt -> elt) -> mat -> mat -> mat

val iteri_rows : (int -> mat -> unit) -> mat -> unit

val iter_rows : (mat -> unit) -> mat -> unit

val iter2i_rows : (int -> mat -> mat -> unit) -> mat -> mat -> unit

val iter2_rows : (mat -> mat -> unit) -> mat -> mat -> unit

val iteri_cols : (int -> mat -> unit) -> mat -> unit

val iter_cols : (mat -> unit) -> mat -> unit

val filteri_rows : (int -> mat -> bool) -> mat -> int array

val filter_rows : (mat -> bool) -> mat -> int array

val filteri_cols : (int -> mat -> bool) -> mat -> int array

val filter_cols : (mat -> bool) -> mat -> int array

val fold_rows : ('a -> mat -> 'a) -> 'a -> mat -> 'a

val fold_cols : ('a -> mat -> 'a) -> 'a -> mat -> 'a

val mapi_rows : (int -> mat -> 'a) -> mat -> 'a array

val map_rows : (mat -> 'a) -> mat -> 'a array

val mapi_cols : (int -> mat -> 'a) -> mat -> 'a array

val map_cols : (mat -> 'a) -> mat -> 'a array

val mapi_by_row : int -> (int -> mat -> mat) -> mat -> mat

val map_by_row : int -> (mat -> mat) -> mat -> mat

val mapi_by_col : int -> (int -> mat -> mat) -> mat -> mat

val map_by_col : int -> (mat -> mat) -> mat -> mat

val mapi_at_row : (int -> elt -> elt) -> mat -> int -> mat

val map_at_row : (elt -> elt) -> mat -> int -> mat

val mapi_at_col : (int -> elt -> elt) -> mat -> int -> mat

val map_at_col : (elt -> elt) -> mat -> int -> mat

Examine elements and compare two matrices

val exists : (elt -> bool) -> mat -> bool

val not_exists : (elt -> bool) -> mat -> bool

val for_all : (elt -> bool) -> mat -> bool

val is_zero : mat -> bool

val is_positive : mat -> bool

val is_negative : mat -> bool

val is_nonpositive : mat -> bool

val is_nonnegative : mat -> bool

val is_normal : mat -> bool

val not_nan : mat -> bool

val not_inf : mat -> bool

val equal : mat -> mat -> bool

val not_equal : mat -> mat -> bool

val greater : mat -> mat -> bool

val less : mat -> mat -> bool

val greater_equal : mat -> mat -> bool

val less_equal : mat -> mat -> bool

val elt_equal : mat -> mat -> mat

val elt_not_equal : mat -> mat -> mat

val elt_less : mat -> mat -> mat

val elt_greater : mat -> mat -> mat

val elt_less_equal : mat -> mat -> mat

val elt_greater_equal : mat -> mat -> mat

val equal_scalar : mat -> elt -> bool

val not_equal_scalar : mat -> elt -> bool

val less_scalar : mat -> elt -> bool

val greater_scalar : mat -> elt -> bool

val less_equal_scalar : mat -> elt -> bool

val greater_equal_scalar : mat -> elt -> bool

val elt_equal_scalar : mat -> elt -> mat

val elt_not_equal_scalar : mat -> elt -> mat

val elt_less_scalar : mat -> elt -> mat

val elt_greater_scalar : mat -> elt -> mat

val elt_less_equal_scalar : mat -> elt -> mat

val elt_greater_equal_scalar : mat -> elt -> mat

val approx_equal : ?eps:float -> mat -> mat -> bool

val approx_equal_scalar : ?eps:float -> mat -> elt -> bool

val approx_elt_equal : ?eps:float -> mat -> mat -> mat

val approx_elt_equal_scalar : ?eps:float -> mat -> elt -> mat

Randomisation functions

val draw_rows : ?replacement:bool -> mat -> int -> mat * int array

val draw_cols : ?replacement:bool -> mat -> int -> mat * int array

val draw_rows2 : 
  ?replacement:bool ->
  mat ->
  mat ->
  int ->
  mat * mat * int array

val draw_cols2 : 
  ?replacement:bool ->
  mat ->
  mat ->
  int ->
  mat * mat * int array

val shuffle_rows : mat -> mat

val shuffle_cols : mat -> mat

val shuffle : mat -> mat

Input/Output and helper functions

val to_array : mat -> elt array

val of_array : elt array -> int -> int -> mat

val to_arrays : mat -> elt array array

val of_arrays : elt array array -> mat

val to_rows : mat -> mat array

val of_rows : mat array -> mat

val to_cols : mat -> mat array

val of_cols : mat array -> mat

val print : 
  ?max_row:int ->
  ?max_col:int ->
  ?header:bool ->
  ?fmt:(elt -> string) ->
  mat ->
  unit

val save : out:string -> mat -> unit

val load : string -> mat

val save_txt : ?sep:string -> ?append:bool -> out:string -> mat -> unit

val load_txt : ?sep:string -> string -> mat

val save_npy : out:string -> mat -> unit

val load_npy : string -> mat

Unary mathematical operations

val min : ?axis:int -> ?keep_dims:bool -> mat -> mat

val min' : mat -> elt

val max : ?axis:int -> ?keep_dims:bool -> mat -> mat

val max' : mat -> elt

val minmax : ?axis:int -> ?keep_dims:bool -> mat -> mat * mat

val minmax' : mat -> elt * elt

val min_i : mat -> elt * int array

val max_i : mat -> elt * int array

val minmax_i : mat -> (elt * int array) * (elt * int array)

val trace : mat -> elt

val sum : ?axis:int -> ?keep_dims:bool -> mat -> mat

val sum' : mat -> elt

val prod : ?axis:int -> ?keep_dims:bool -> mat -> mat

val prod' : mat -> elt

val mean : ?axis:int -> ?keep_dims:bool -> mat -> mat

val mean' : mat -> elt

val var' : mat -> elt

val std' : mat -> elt

val sem : ?axis:int -> ?keep_dims:bool -> mat -> mat

val sem' : mat -> elt

val sum_rows : ?keep_dims:bool -> mat -> mat

val sum_cols : ?keep_dims:bool -> mat -> mat

val mean_rows : ?keep_dims:bool -> mat -> mat

val mean_cols : ?keep_dims:bool -> mat -> mat

val abs : mat -> mat

val abs2 : mat -> mat

val conj : mat -> mat

val neg : mat -> mat

val reci : mat -> mat

val reci_tol : ?tol:elt -> mat -> mat

val sqr : mat -> mat

val sqrt : mat -> mat

val cbrt : mat -> mat

val exp : mat -> mat

val exp2 : mat -> mat

val exp10 : mat -> mat

val expm1 : mat -> mat

val log : mat -> mat

val log10 : mat -> mat

val log2 : mat -> mat

val log1p : mat -> mat

val sin : mat -> mat

val cos : mat -> mat

val tan : mat -> mat

val asin : mat -> mat

val acos : mat -> mat

val atan : mat -> mat

val sinh : mat -> mat

val cosh : mat -> mat

val tanh : mat -> mat

val asinh : mat -> mat

val acosh : mat -> mat

val atanh : mat -> mat

val floor : mat -> mat

val ceil : mat -> mat

val round : mat -> mat

val trunc : mat -> mat

val fix : mat -> mat

val modf : mat -> mat * mat

val l1norm : ?axis:int -> ?keep_dims:bool -> mat -> mat

val l1norm' : mat -> elt

val l2norm : ?axis:int -> ?keep_dims:bool -> mat -> mat

val l2norm' : mat -> elt

val l2norm_sqr : ?axis:int -> ?keep_dims:bool -> mat -> mat

val l2norm_sqr' : mat -> elt

val vecnorm : ?axis:int -> ?p:float -> ?keep_dims:bool -> mat -> mat

val vecnorm' : ?p:float -> mat -> elt

val cumsum : ?axis:int -> mat -> mat

val cumprod : ?axis:int -> mat -> mat

val cummin : ?axis:int -> mat -> mat

val cummax : ?axis:int -> mat -> mat

val diff : ?axis:int -> ?n:int -> mat -> mat

val var : ?axis:int -> ?keep_dims:bool -> mat -> mat

val std : ?axis:int -> ?keep_dims:bool -> mat -> mat

val mat2gray : ?amin:elt -> ?amax:elt -> mat -> mat

val lgamma : mat -> mat

val dawsn : mat -> mat

Binary mathematical operations

val add : mat -> mat -> mat

val sub : mat -> mat -> mat

val mul : mat -> mat -> mat

val div : mat -> mat -> mat

val add_scalar : mat -> elt -> mat

val sub_scalar : mat -> elt -> mat

val mul_scalar : mat -> elt -> mat

val div_scalar : mat -> elt -> mat

val scalar_add : elt -> mat -> mat

val scalar_sub : elt -> mat -> mat

val scalar_mul : elt -> mat -> mat

val scalar_div : elt -> mat -> mat

val dot : mat -> mat -> mat

val add_diag : mat -> elt -> mat

val pow : mat -> mat -> mat

val scalar_pow : elt -> mat -> mat

val pow_scalar : mat -> elt -> mat

val min2 : mat -> mat -> mat

val max2 : mat -> mat -> mat

val ssqr' : mat -> elt -> elt

val ssqr_diff' : mat -> mat -> elt

val clip_by_value : ?amin:elt -> ?amax:elt -> mat -> mat

val cov : ?b:mat -> a:mat -> mat

val kron : mat -> mat -> mat

val fma : mat -> mat -> mat -> mat

Functions of in-place modification

val create_ : out:mat -> elt -> unit

val uniform_ : ?a:elt -> ?b:elt -> out:mat -> unit

val bernoulli_ : ?p:float -> out:mat -> unit

val zeros_ : out:mat -> unit

val ones_ : out:mat -> unit

val sort_ : mat -> unit

val one_hot_ : out:mat -> int -> mat -> unit

val copy_ : out:mat -> mat -> unit

val reshape_ : out:mat -> mat -> unit

val transpose_ : out:mat -> ?axis:int array -> mat -> unit

val sum_ : out:mat -> axis:int -> mat -> unit

val min_ : out:mat -> axis:int -> mat -> unit

val max_ : out:mat -> axis:int -> mat -> unit

val add_ : ?out:mat -> mat -> mat -> unit

val sub_ : ?out:mat -> mat -> mat -> unit

val mul_ : ?out:mat -> mat -> mat -> unit

val div_ : ?out:mat -> mat -> mat -> unit

val pow_ : ?out:mat -> mat -> mat -> unit

val atan2_ : ?out:mat -> mat -> mat -> unit

val hypot_ : ?out:mat -> mat -> mat -> unit

val fmod_ : ?out:mat -> mat -> mat -> unit

val min2_ : ?out:mat -> mat -> mat -> unit

val max2_ : ?out:mat -> mat -> mat -> unit

val add_scalar_ : ?out:mat -> mat -> elt -> unit

val sub_scalar_ : ?out:mat -> mat -> elt -> unit

val mul_scalar_ : ?out:mat -> mat -> elt -> unit

val div_scalar_ : ?out:mat -> mat -> elt -> unit

val pow_scalar_ : ?out:mat -> mat -> elt -> unit

val atan2_scalar_ : ?out:mat -> mat -> elt -> unit

val fmod_scalar_ : ?out:mat -> mat -> elt -> unit

val scalar_add_ : ?out:mat -> elt -> mat -> unit

val scalar_sub_ : ?out:mat -> elt -> mat -> unit

val scalar_mul_ : ?out:mat -> elt -> mat -> unit

val scalar_div_ : ?out:mat -> elt -> mat -> unit

val scalar_pow_ : ?out:mat -> elt -> mat -> unit

val scalar_atan2_ : ?out:mat -> elt -> mat -> unit

val scalar_fmod_ : ?out:mat -> elt -> mat -> unit

val fma_ : ?out:mat -> mat -> mat -> mat -> unit

val dot_ : 
  ?transa:bool ->
  ?transb:bool ->
  ?alpha:elt ->
  ?beta:elt ->
  c:mat ->
  mat ->
  mat ->
  unit

val conj_ : ?out:mat -> mat -> unit

val abs_ : ?out:mat -> mat -> unit

val neg_ : ?out:mat -> mat -> unit

val reci_ : ?out:mat -> mat -> unit

val signum_ : ?out:mat -> mat -> unit

val sqr_ : ?out:mat -> mat -> unit

val sqrt_ : ?out:mat -> mat -> unit

val cbrt_ : ?out:mat -> mat -> unit

val exp_ : ?out:mat -> mat -> unit

val exp2_ : ?out:mat -> mat -> unit

val exp10_ : ?out:mat -> mat -> unit

val expm1_ : ?out:mat -> mat -> unit

val log_ : ?out:mat -> mat -> unit

val log2_ : ?out:mat -> mat -> unit

val log10_ : ?out:mat -> mat -> unit

val log1p_ : ?out:mat -> mat -> unit

val sin_ : ?out:mat -> mat -> unit

val cos_ : ?out:mat -> mat -> unit

val tan_ : ?out:mat -> mat -> unit

val asin_ : ?out:mat -> mat -> unit

val acos_ : ?out:mat -> mat -> unit

val atan_ : ?out:mat -> mat -> unit

val sinh_ : ?out:mat -> mat -> unit

val cosh_ : ?out:mat -> mat -> unit

val tanh_ : ?out:mat -> mat -> unit

val asinh_ : ?out:mat -> mat -> unit

val acosh_ : ?out:mat -> mat -> unit

val atanh_ : ?out:mat -> mat -> unit

val floor_ : ?out:mat -> mat -> unit

val ceil_ : ?out:mat -> mat -> unit

val round_ : ?out:mat -> mat -> unit

val trunc_ : ?out:mat -> mat -> unit

val fix_ : ?out:mat -> mat -> unit

val erf_ : ?out:mat -> mat -> unit

val erfc_ : ?out:mat -> mat -> unit

val relu_ : ?out:mat -> mat -> unit

val softplus_ : ?out:mat -> mat -> unit

val softsign_ : ?out:mat -> mat -> unit

val sigmoid_ : ?out:mat -> mat -> unit

val softmax_ : ?out:mat -> ?axis:int -> mat -> unit

val cumsum_ : ?out:mat -> ?axis:int -> mat -> unit

val cumprod_ : ?out:mat -> ?axis:int -> mat -> unit

val cummin_ : ?out:mat -> ?axis:int -> mat -> unit

val cummax_ : ?out:mat -> ?axis:int -> mat -> unit

val dropout_ : ?out:mat -> ?rate:float -> mat -> unit

val elt_equal_ : ?out:mat -> mat -> mat -> unit

val elt_not_equal_ : ?out:mat -> mat -> mat -> unit

val elt_less_ : ?out:mat -> mat -> mat -> unit

val elt_greater_ : ?out:mat -> mat -> mat -> unit

val elt_less_equal_ : ?out:mat -> mat -> mat -> unit

val elt_greater_equal_ : ?out:mat -> mat -> mat -> unit

val elt_equal_scalar_ : ?out:mat -> mat -> elt -> unit

val elt_not_equal_scalar_ : ?out:mat -> mat -> elt -> unit

val elt_less_scalar_ : ?out:mat -> mat -> elt -> unit

val elt_greater_scalar_ : ?out:mat -> mat -> elt -> unit

val elt_less_equal_scalar_ : ?out:mat -> mat -> elt -> unit

val elt_greater_equal_scalar_ : ?out:mat -> mat -> elt -> unit

include Owl_dense_matrix_intf.Real with type elt := elt and type mat := mat

Specific real functions

val i0 : mat -> mat

val i0e : mat -> mat

val i1 : mat -> mat

val i1e : mat -> mat

val iv : v:mat -> mat -> mat

val scalar_iv : v:elt -> mat -> mat

val iv_scalar : v:mat -> elt -> mat

val j0 : mat -> mat

val j1 : mat -> mat

val jv : v:mat -> mat -> mat

val scalar_jv : v:elt -> mat -> mat

val jv_scalar : v:mat -> elt -> mat

val semidef : int -> mat

val min_rows : mat -> (elt * int * int) array

val min_cols : mat -> (elt * int * int) array

val max_rows : mat -> (elt * int * int) array

val max_cols : mat -> (elt * int * int) array

val signum : mat -> mat

val erf : mat -> mat

val erfc : mat -> mat

val logistic : mat -> mat

val relu : mat -> mat

val elu : ?alpha:elt -> mat -> mat

val leaky_relu : ?alpha:elt -> mat -> mat

val softplus : mat -> mat

val softsign : mat -> mat

val softmax : ?axis:int -> mat -> mat

val sigmoid : mat -> mat

val log_sum_exp' : mat -> elt

val log_sum_exp : ?axis:int -> ?keep_dims:bool -> mat -> mat

val max_pool : 
  ?padding:Owl_types.padding ->
  mat ->
  int array ->
  int array ->
  mat

val avg_pool : 
  ?padding:Owl_types.padding ->
  mat ->
  int array ->
  int array ->
  mat

val atan2 : mat -> mat -> mat

val scalar_atan2 : elt -> mat -> mat

val atan2_scalar : mat -> elt -> mat

val hypot : mat -> mat -> mat

val fmod : mat -> mat -> mat

val fmod_scalar : mat -> elt -> mat

val scalar_fmod : elt -> mat -> mat

val cross_entropy' : mat -> mat -> elt

val clip_by_l2norm : elt -> mat -> mat

val poisson : mu:elt -> int -> int -> mat