Ada 程式設計/庫/Ada.Numerics.Generic Real Arrays

此語言特性僅從 Ada 2005 開始可用。

Ada.Numerics.Generic_Real_Arrays 是預定義語言環境自 Ada 2005 以來的一部分。

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--                     Standard Ada library specification
--   Copyright (c) 2003-2018 Maxim Reznik <reznikmm@gmail.com>
--   Copyright (c) 2004-2016 AXE Consultants
--   Copyright (c) 2004, 2005, 2006 Ada-Europe
--   Copyright (c) 2000 The MITRE Corporation, Inc.
--   Copyright (c) 1992, 1993, 1994, 1995 Intermetrics, Inc.
--   SPDX-License-Identifier: BSD-3-Clause and LicenseRef-AdaReferenceManual
-- -------------------------------------------------------------------------

generic
   type Real is digits <>;

package Ada.Numerics.Generic_Real_Arrays is

   pragma Pure (Generic_Real_Arrays);

   --   Types

   type Real_Vector is array (Integer range <>) of Real'Base;

   type Real_Matrix is array (Integer range <>, Integer range <>) of Real'Base;

   --   Subprograms for Real_Vector types

   --   Real_Vector arithmetic operations

   function "+" (Right : in Real_Vector) return Real_Vector;

   function "-" (Right : in Real_Vector) return Real_Vector;

   function "abs" (Right : in Real_Vector) return Real_Vector;

   function "+" (Left  : in Real_Vector;
                 Right : Real_Vector)
     return Real_Vector;

   function "-" (Left  : in Real_Vector;
                 Right : Real_Vector)
     return Real_Vector;

   function "*" (Left  : in Real_Vector;
                 Right : Real_Vector)
     return Real'Base;

   function "abs" (Right : in Real_Vector) return Real'Base;

   --   Real_Vector scaling operations

   function "*" (Left  : in Real'Base;
                 Right : in Real_Vector)
     return Real_Vector;

   function "*" (Left  : in Real_Vector;
                 Right : in Real'Base)
     return Real_Vector;

   function "/" (Left  : in Real_Vector;
                 Right : in Real'Base)
     return Real_Vector;

   --   Other Real_Vector operations

   function Unit_Vector (Index : in Integer;
                         Order : in Positive;
                         First : in Integer := 1)
     return Real_Vector;

   --   Subprograms for Real_Matrix types

   --   Real_Matrix arithmetic operations

   function "+" (Right : in Real_Matrix) return Real_Matrix;

   function "-" (Right : in Real_Matrix) return Real_Matrix;

   function "abs" (Right : in Real_Matrix) return Real_Matrix;

   function Transpose (X : in Real_Matrix) return Real_Matrix;

   function "+" (Left  : in Real_Matrix;
                 Right : in Real_Matrix)
     return Real_Matrix;

   function "-" (Left  : in Real_Matrix;
                 Right : in Real_Matrix)
     return Real_Matrix;

   function "*" (Left  : in Real_Matrix;
                 Right : in Real_Matrix)
     return Real_Matrix;

   function "*" (Left  : in Real_Matrix;
                 Right : in Real_Vector)
     return Real_Matrix;

   function "*" (Left  : in Real_Vector;
                 Right : in Real_Matrix)
     return Real_Vector;

   function "*" (Left  : in Real_Matrix;
                 Right : in Real_Vector)
     return Real_Vector;

   --   Real_Matrix scaling operations

   function "*" (Left  : in Real'Base;
                 Right : in Real_Matrix)
     return Real_Matrix;

   function "*" (Left  : in Real_Matrix;
                 Right : in Real'Base)
     return Real_Matrix;

   function "/" (Left  : in Real_Matrix;
                 Right : in Real'Base)
     return Real_Matrix;

   --   Real_Matrix inversion and related operations

   function Solve (A : in Real_Matrix;
                   X : in Real_Vector)
     return Real_Vector;

   function Solve (A : in Real_Matrix;
                   X : in Real_Matrix)
     return Real_Matrix;

   function Inverse (A : in Real_Matrix) return Real_Matrix;

   function Determinant (A : in Real_Matrix) return Real'Base;

   --   Eigenvalues and vectors of a real symmetric matrix

   function Eigenvalues (A : in Real_Matrix) return Real_Vector;

   procedure Eigensystem (A       : in     Real_Matrix;
                          Values  :    out Real_Vector;
                          Vectors :    out Real_Matrix);

   --   Other Real_Matrix operations

   function Unit_Matrix (Order   : Positive;
                         First_1 : Integer := 1;
                         First_2 : Integer := 1)
     return Real_Matrix;

end Ada.Numerics.Generic_Real_Arrays;