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------------------------------------------------------------------------------ -- -- -- GNAT RUN-TIME COMPONENTS -- -- -- -- S Y S T E M . G E N E R I C _ A R R A Y _ O P E R A T I O N S -- -- -- -- S p e c -- -- -- -- Copyright (C) 2006-2009, Free Software Foundation, Inc. -- -- -- -- GNAT is free software; you can redistribute it and/or modify it under -- -- terms of the GNU General Public License as published by the Free Soft- -- -- ware Foundation; either version 3, or (at your option) any later ver- -- -- sion. GNAT is distributed in the hope that it will be useful, but WITH- -- -- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY -- -- or FITNESS FOR A PARTICULAR PURPOSE. -- -- -- -- As a special exception under Section 7 of GPL version 3, you are granted -- -- additional permissions described in the GCC Runtime Library Exception, -- -- version 3.1, as published by the Free Software Foundation. -- -- -- -- You should have received a copy of the GNU General Public License and -- -- a copy of the GCC Runtime Library Exception along with this program; -- -- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see -- -- <http://www.gnu.org/licenses/>. -- -- -- -- GNAT was originally developed by the GNAT team at New York University. -- -- Extensive contributions were provided by Ada Core Technologies Inc. -- -- -- ------------------------------------------------------------------------------ package System.Generic_Array_Operations is pragma Pure (Generic_Array_Operations); -------------------------- -- Square_Matrix_Length -- -------------------------- generic type Scalar is private; type Matrix is array (Integer range <>, Integer range <>) of Scalar; function Square_Matrix_Length (A : Matrix) return Natural; -- If A is non-square, raise Constraint_Error, else return its dimension ---------------------------------- -- Vector_Elementwise_Operation -- ---------------------------------- generic type X_Scalar is private; type Result_Scalar is private; type X_Vector is array (Integer range <>) of X_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; with function Operation (X : X_Scalar) return Result_Scalar; function Vector_Elementwise_Operation (X : X_Vector) return Result_Vector; ---------------------------------- -- Matrix_Elementwise_Operation -- ---------------------------------- generic type X_Scalar is private; type Result_Scalar is private; type X_Matrix is array (Integer range <>, Integer range <>) of X_Scalar; type Result_Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; with function Operation (X : X_Scalar) return Result_Scalar; function Matrix_Elementwise_Operation (X : X_Matrix) return Result_Matrix; ----------------------------------------- -- Vector_Vector_Elementwise_Operation -- ----------------------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Vector is array (Integer range <>) of Left_Scalar; type Right_Vector is array (Integer range <>) of Right_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; with function Operation (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar; function Vector_Vector_Elementwise_Operation (Left : Left_Vector; Right : Right_Vector) return Result_Vector; ------------------------------------------------ -- Vector_Vector_Scalar_Elementwise_Operation -- ------------------------------------------------ generic type X_Scalar is private; type Y_Scalar is private; type Z_Scalar is private; type Result_Scalar is private; type X_Vector is array (Integer range <>) of X_Scalar; type Y_Vector is array (Integer range <>) of Y_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; with function Operation (X : X_Scalar; Y : Y_Scalar; Z : Z_Scalar) return Result_Scalar; function Vector_Vector_Scalar_Elementwise_Operation (X : X_Vector; Y : Y_Vector; Z : Z_Scalar) return Result_Vector; ----------------------------------------- -- Matrix_Matrix_Elementwise_Operation -- ----------------------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Matrix is array (Integer range <>, Integer range <>) of Left_Scalar; type Right_Matrix is array (Integer range <>, Integer range <>) of Right_Scalar; type Result_Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; with function Operation (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar; function Matrix_Matrix_Elementwise_Operation (Left : Left_Matrix; Right : Right_Matrix) return Result_Matrix; ------------------------------------------------ -- Matrix_Matrix_Scalar_Elementwise_Operation -- ------------------------------------------------ generic type X_Scalar is private; type Y_Scalar is private; type Z_Scalar is private; type Result_Scalar is private; type X_Matrix is array (Integer range <>, Integer range <>) of X_Scalar; type Y_Matrix is array (Integer range <>, Integer range <>) of Y_Scalar; type Result_Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; with function Operation (X : X_Scalar; Y : Y_Scalar; Z : Z_Scalar) return Result_Scalar; function Matrix_Matrix_Scalar_Elementwise_Operation (X : X_Matrix; Y : Y_Matrix; Z : Z_Scalar) return Result_Matrix; ----------------------------------------- -- Vector_Scalar_Elementwise_Operation -- ----------------------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Vector is array (Integer range <>) of Left_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; with function Operation (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar; function Vector_Scalar_Elementwise_Operation (Left : Left_Vector; Right : Right_Scalar) return Result_Vector; ----------------------------------------- -- Matrix_Scalar_Elementwise_Operation -- ----------------------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Matrix is array (Integer range <>, Integer range <>) of Left_Scalar; type Result_Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; with function Operation (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar; function Matrix_Scalar_Elementwise_Operation (Left : Left_Matrix; Right : Right_Scalar) return Result_Matrix; ----------------------------------------- -- Scalar_Vector_Elementwise_Operation -- ----------------------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Right_Vector is array (Integer range <>) of Right_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; with function Operation (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar; function Scalar_Vector_Elementwise_Operation (Left : Left_Scalar; Right : Right_Vector) return Result_Vector; ----------------------------------------- -- Scalar_Matrix_Elementwise_Operation -- ----------------------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Right_Matrix is array (Integer range <>, Integer range <>) of Right_Scalar; type Result_Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; with function Operation (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar; function Scalar_Matrix_Elementwise_Operation (Left : Left_Scalar; Right : Right_Matrix) return Result_Matrix; ------------------- -- Inner_Product -- ------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Vector is array (Integer range <>) of Left_Scalar; type Right_Vector is array (Integer range <>) of Right_Scalar; Zero : Result_Scalar; with function "*" (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar is <>; with function "+" (Left : Result_Scalar; Right : Result_Scalar) return Result_Scalar is <>; function Inner_Product (Left : Left_Vector; Right : Right_Vector) return Result_Scalar; ------------------- -- Outer_Product -- ------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Vector is array (Integer range <>) of Left_Scalar; type Right_Vector is array (Integer range <>) of Right_Scalar; type Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; with function "*" (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar is <>; function Outer_Product (Left : Left_Vector; Right : Right_Vector) return Matrix; --------------------------- -- Matrix_Vector_Product -- --------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Matrix is array (Integer range <>, Integer range <>) of Left_Scalar; type Right_Vector is array (Integer range <>) of Right_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; Zero : Result_Scalar; with function "*" (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar is <>; with function "+" (Left : Result_Scalar; Right : Result_Scalar) return Result_Scalar is <>; function Matrix_Vector_Product (Left : Matrix; Right : Right_Vector) return Result_Vector; --------------------------- -- Vector_Matrix_Product -- --------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Vector is array (Integer range <>) of Left_Scalar; type Matrix is array (Integer range <>, Integer range <>) of Right_Scalar; type Result_Vector is array (Integer range <>) of Result_Scalar; Zero : Result_Scalar; with function "*" (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar is <>; with function "+" (Left : Result_Scalar; Right : Result_Scalar) return Result_Scalar is <>; function Vector_Matrix_Product (Left : Left_Vector; Right : Matrix) return Result_Vector; --------------------------- -- Matrix_Matrix_Product -- --------------------------- generic type Left_Scalar is private; type Right_Scalar is private; type Result_Scalar is private; type Left_Matrix is array (Integer range <>, Integer range <>) of Left_Scalar; type Right_Matrix is array (Integer range <>, Integer range <>) of Right_Scalar; type Result_Matrix is array (Integer range <>, Integer range <>) of Result_Scalar; Zero : Result_Scalar; with function "*" (Left : Left_Scalar; Right : Right_Scalar) return Result_Scalar is <>; with function "+" (Left : Result_Scalar; Right : Result_Scalar) return Result_Scalar is <>; function Matrix_Matrix_Product (Left : Left_Matrix; Right : Right_Matrix) return Result_Matrix; --------------- -- Transpose -- --------------- generic type Scalar is private; type Matrix is array (Integer range <>, Integer range <>) of Scalar; procedure Transpose (A : Matrix; R : out Matrix); ------------------------------- -- Update_Vector_With_Vector -- ------------------------------- generic type X_Scalar is private; type Y_Scalar is private; type X_Vector is array (Integer range <>) of X_Scalar; type Y_Vector is array (Integer range <>) of Y_Scalar; with procedure Update (X : in out X_Scalar; Y : Y_Scalar); procedure Update_Vector_With_Vector (X : in out X_Vector; Y : Y_Vector); ------------------------------- -- Update_Matrix_With_Matrix -- ------------------------------- generic type X_Scalar is private; type Y_Scalar is private; type X_Matrix is array (Integer range <>, Integer range <>) of X_Scalar; type Y_Matrix is array (Integer range <>, Integer range <>) of Y_Scalar; with procedure Update (X : in out X_Scalar; Y : Y_Scalar); procedure Update_Matrix_With_Matrix (X : in out X_Matrix; Y : Y_Matrix); ----------------- -- Unit_Matrix -- ----------------- generic type Scalar is private; type Matrix is array (Integer range <>, Integer range <>) of Scalar; Zero : Scalar; One : Scalar; function Unit_Matrix (Order : Positive; First_1 : Integer := 1; First_2 : Integer := 1) return Matrix; ----------------- -- Unit_Vector -- ----------------- generic type Scalar is private; type Vector is array (Integer range <>) of Scalar; Zero : Scalar; One : Scalar; function Unit_Vector (Index : Integer; Order : Positive; First : Integer := 1) return Vector; end System.Generic_Array_Operations;