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Complex dense matrix module: this module supports operations on dense matrices of complex numbers. The complex number has a record type of {re = float; im = float}.

This page only contains detailed explanations for the operations specific to Dense.Complex module. Most of the other operations are the same to those in Dense.Real module, therefore please refer to the documentation of Dense.Real for more information.

type elt = Complex.t
Create dense matrices
val empty : int -> int -> mat
val init : int -> int -> (int -> elt) -> mat
val init_2d : int -> int -> (int -> int -> elt) -> mat
val create : int -> int -> elt -> mat
val zeros : int -> int -> mat
val ones : int -> int -> mat
val eye : int -> mat
val complex : cast_mat -> cast_mat -> mat
val polar : cast_mat -> cast_mat -> 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 diagm : ?k:int -> mat -> mat
val triu : ?k:int -> mat -> mat
val tril : ?k:int -> mat -> mat
val symmetric : ?upper:bool -> mat -> mat
val hermitian : ?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
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_to : mat -> mat -> unit
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 : ?axis:int -> mat -> int -> 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
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
Examin 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 : mat -> string -> unit
val load : string -> mat
val save_txt : ?sep:string -> mat -> string -> unit
val load_txt : ?sep:string -> string -> mat
Unary mathematical operations
val min : ?axis:int -> mat -> mat
val min' : mat -> elt
val max : ?axis:int -> mat -> mat
val max' : mat -> elt
val minmax : ?axis:int -> 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 re : mat -> cast_mat
val im : mat -> cast_mat
val trace : mat -> elt
val sum : ?axis:int -> mat -> mat
val sum' : mat -> elt
val prod : ?axis:int -> mat -> mat
val prod' : mat -> elt
val mean : ?axis:int -> mat -> mat
val mean' : mat -> elt
val var' : mat -> elt
val std' : mat -> elt
val sum_rows : mat -> mat
val sum_cols : mat -> mat
val mean_rows : mat -> mat
val mean_cols : 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 l1norm : ?axis:int -> mat -> mat
val l1norm' : mat -> elt
val l2norm : ?axis:int -> mat -> mat
val l2norm' : mat -> elt
val l2norm_sqr : ?axis:int -> mat -> mat
val l2norm_sqr' : mat -> elt
val vecnorm : ?axis:int -> ?p:float -> 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 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 angle : mat -> mat
val proj : mat -> mat
val var : ?axis:int -> mat -> mat
val std : ?axis:int -> mat -> mat
val mat2gray : ?amin:elt -> ?amax:elt -> 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 ssqr' : mat -> elt -> elt
val ssqr_diff' : mat -> mat -> elt
val min2 : mat -> mat -> mat
val max2 : mat -> mat -> mat
val pow : mat -> mat -> mat
val scalar_pow : elt -> mat -> mat
val pow_scalar : mat -> elt -> mat
val cov : ?b:mat -> a:mat -> mat
val kron : mat -> mat -> mat
val clip_by_value : ?amin:elt -> ?amax:elt -> mat -> mat
Fucntions of in-place modification
val sort_ : mat -> unit
val add_ : mat -> mat -> unit
val sub_ : mat -> mat -> unit
val mul_ : mat -> mat -> unit
val div_ : mat -> mat -> unit
val pow_ : mat -> mat -> unit
val atan2_ : mat -> mat -> unit
val hypot_ : mat -> mat -> unit
val fmod_ : mat -> mat -> unit
val min2_ : mat -> mat -> unit
val max2_ : mat -> mat -> unit
val add_scalar_ : mat -> elt -> unit
val sub_scalar_ : mat -> elt -> unit
val mul_scalar_ : mat -> elt -> unit
val div_scalar_ : mat -> elt -> unit
val pow_scalar_ : mat -> elt -> unit
val atan2_scalar_ : mat -> elt -> unit
val fmod_scalar_ : mat -> elt -> unit
val scalar_add_ : elt -> mat -> unit
val scalar_sub_ : elt -> mat -> unit
val scalar_mul_ : elt -> mat -> unit
val scalar_div_ : elt -> mat -> unit
val scalar_pow_ : elt -> mat -> unit
val scalar_atan2_ : elt -> mat -> unit
val scalar_fmod_ : elt -> mat -> unit
val conj_ : mat -> unit
val abs_ : mat -> unit
val neg_ : mat -> unit
val reci_ : mat -> unit
val signum_ : mat -> unit
val sqr_ : mat -> unit
val sqrt_ : mat -> unit
val cbrt_ : mat -> unit
val exp_ : mat -> unit
val exp2_ : mat -> unit
val exp10_ : mat -> unit
val expm1_ : mat -> unit
val log_ : mat -> unit
val log2_ : mat -> unit
val log10_ : mat -> unit
val log1p_ : mat -> unit
val sin_ : mat -> unit
val cos_ : mat -> unit
val tan_ : mat -> unit
val asin_ : mat -> unit
val acos_ : mat -> unit
val atan_ : mat -> unit
val sinh_ : mat -> unit
val cosh_ : mat -> unit
val tanh_ : mat -> unit
val asinh_ : mat -> unit
val acosh_ : mat -> unit
val atanh_ : mat -> unit
val floor_ : mat -> unit
val ceil_ : mat -> unit
val round_ : mat -> unit
val trunc_ : mat -> unit
val fix_ : mat -> unit
val erf_ : mat -> unit
val erfc_ : mat -> unit
val relu_ : mat -> unit
val softplus_ : mat -> unit
val softsign_ : mat -> unit
val sigmoid_ : mat -> unit
val softmax_ : mat -> unit
val cumsum_ : ?axis:int -> mat -> unit
val cumprod_ : ?axis:int -> mat -> unit
val cummin_ : ?axis:int -> mat -> unit
val cummax_ : ?axis:int -> mat -> unit
val dropout_ : ?rate:float -> mat -> unit
val elt_equal_ : mat -> mat -> unit
val elt_not_equal_ : mat -> mat -> unit
val elt_less_ : mat -> mat -> unit
val elt_greater_ : mat -> mat -> unit
val elt_less_equal_ : mat -> mat -> unit
val elt_greater_equal_ : mat -> mat -> unit
val elt_equal_scalar_ : mat -> elt -> unit
val elt_not_equal_scalar_ : mat -> elt -> unit
val elt_less_scalar_ : mat -> elt -> unit
val elt_greater_scalar_ : mat -> elt -> unit
val elt_less_equal_scalar_ : mat -> elt -> unit
val elt_greater_equal_scalar_ : mat -> elt -> unit
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