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102 lines
2.7 KiB
OCaml
102 lines
2.7 KiB
OCaml
(* Sparse or dense matrices *)
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open Lacaml.D
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type t
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(** {1 Accessors} *)
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val is_sparse : t -> bool
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(** True is the matrix is sparse. *)
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val is_dense : t -> bool
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(** True is the matrix is dense. *)
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val dim1 : t -> int
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(** First dimension of the matrix *)
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val dim2 : t -> int
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(** Secons dimension of the matrix *)
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val get : t -> int -> int -> float
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(** [get m i j] returns {% $\mathbf{m}_{ij}$ %}. *)
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(** {1 Converters } *)
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val to_mat : t -> Mat.t
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(** Convert into a Lacaml Mat. *)
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val to_vector_array : ?threshold:float -> t -> Vector.t array
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(** Convert the matrix into an array of column vectors. *)
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val of_fun : int -> int -> (int -> int -> float) -> t
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(** [of_fun m n f] creates a computed matrix of dimension m times n, where the function
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[f i j] is called to evaluate element [i j] *)
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val sparse_of_dense : ?threshold:float -> t -> t
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(** Creates a sparse matrix from a dense matrix. Default threshold is {!Constants.epsilon}. *)
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val sparse_of_computed : ?threshold:float -> t -> t
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(** Creates a sparse matrix from a computed matrix. *)
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val dense_of_computed : t -> t
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(** Creates a dense matrix from a computed matrix. *)
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val dense_of_sparse : t -> t
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(** Creates a dense matrix from a sparse matrix. *)
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val dense_of_mat : Mat.t -> t
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(** Create a dense matrix from a Lacaml Mat *)
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val sparse_of_mat : ?threshold:float -> Lacaml.D.Mat.t -> t
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(** Create a sparse matrix from a Lacaml Mat. Default threshold is {!Constants.epsilon}. *)
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val sparse_of_vector_array : Vector.t array -> t
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(** Create a sparse matrix from an array of column vectors. *)
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val transpose : t -> t
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(** Returns the transposed matrix. *)
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val split_cols : int -> t -> t list
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(** [split_cols n m_M] Split the matrix [m_M] by packs of [n] columns *)
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val join_cols : t list -> t
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(** [join_cols l] Joins the list of matrices into a single matrix (along columns). *)
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(** {1 Operations} *)
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val outer_product : ?threshold:float -> Vector.t -> Vector.t -> t
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(** Creates the matrix formed by the outer product of two vectors. *)
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val mm : ?transa:trans3 -> ?transb:trans3 -> ?threshold:float -> t -> t -> t
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(** Matrix multiplication *)
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val mv : ?sparse:bool -> ?trans:trans3 -> ?threshold:float -> t -> Vector.t -> Vector.t
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(** Matrix Vector product *)
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val ax_eq_b : ?trans:trans3 -> t -> t -> t
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(** Solves A.X = B or A'.X = B *)
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val add : t -> t -> t
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(** Add two matrices *)
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val sub : t -> t -> t
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(** Subtract two matrices *)
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(** {1 Parallel routines } *)
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val parallel_mm : ?transa:trans3 -> ?transb:trans3 -> ?threshold:float -> t -> t -> t
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(** Matrix multiplication, parallelized by splitting b along the columns. *)
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(** {1 Printers } *)
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val pp_matrix : Format.formatter -> t -> unit
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(** {1 Unit testing} *)
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val test_case : unit -> (string * [> `Quick ] * (unit -> unit)) list
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