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1 706 jeremybenn
------------------------------------------------------------------------------
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--                                                                          --
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--                         GNAT RUN-TIME COMPONENTS                         --
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--                                                                          --
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--                     ADA.NUMERICS.GENERIC_REAL_ARRAYS                     --
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--                                                                          --
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--                                 S p e c                                  --
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--                                                                          --
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--            Copyright (C) 2009, Free Software Foundation, Inc.            --
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--                                                                          --
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-- This specification is derived from the Ada Reference Manual for use with --
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-- GNAT. The copyright notice above, and the license provisions that follow --
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-- apply solely to the  contents of the part following the private keyword. --
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--                                                                          --
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-- GNAT is free software;  you can  redistribute it  and/or modify it under --
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-- terms of the  GNU General Public License as published  by the Free Soft- --
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-- ware  Foundation;  either version 3,  or (at your option) any later ver- --
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-- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
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-- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
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-- or FITNESS FOR A PARTICULAR PURPOSE.                                     --
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--                                                                          --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- additional permissions described in the GCC Runtime Library Exception,   --
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-- version 3.1, as published by the Free Software Foundation.               --
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--                                                                          --
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-- You should have received a copy of the GNU General Public License and    --
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-- a copy of the GCC Runtime Library Exception along with this program;     --
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-- see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see    --
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-- <http://www.gnu.org/licenses/>.                                          --
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--                                                                          --
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-- GNAT was originally developed  by the GNAT team at  New York University. --
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-- Extensive contributions were provided by Ada Core Technologies Inc.      --
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--                                                                          --
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------------------------------------------------------------------------------
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generic
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   type Real is digits <>;
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package Ada.Numerics.Generic_Real_Arrays is
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   pragma Pure (Generic_Real_Arrays);
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   --  Types
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   type Real_Vector is array (Integer range <>) of Real'Base;
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   type Real_Matrix is array (Integer range <>, Integer range <>) of Real'Base;
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   --  Subprograms for Real_Vector types
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   --  Real_Vector arithmetic operations
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   function "+"   (Right : Real_Vector)       return Real_Vector;
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   function "-"   (Right : Real_Vector)       return Real_Vector;
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   function "abs" (Right : Real_Vector)       return Real_Vector;
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   function "+"   (Left, Right : Real_Vector) return Real_Vector;
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   function "-"   (Left, Right : Real_Vector) return Real_Vector;
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   function "*"   (Left, Right : Real_Vector) return Real'Base;
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   function "abs" (Right : Real_Vector)       return Real'Base;
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   --  Real_Vector scaling operations
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   function "*" (Left : Real'Base;   Right : Real_Vector) return Real_Vector;
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   function "*" (Left : Real_Vector; Right : Real'Base)   return Real_Vector;
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   function "/" (Left : Real_Vector; Right : Real'Base)   return Real_Vector;
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   --  Other Real_Vector operations
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   function Unit_Vector
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     (Index : Integer;
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      Order : Positive;
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      First : Integer := 1) return Real_Vector;
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   --  Subprograms for Real_Matrix types
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   --  Real_Matrix arithmetic operations
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   function "+"       (Right : Real_Matrix) return Real_Matrix;
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   function "-"       (Right : Real_Matrix) return Real_Matrix;
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   function "abs"     (Right : Real_Matrix) return Real_Matrix;
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   function Transpose (X     : Real_Matrix) return Real_Matrix;
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   function "+" (Left, Right : Real_Matrix) return Real_Matrix;
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   function "-" (Left, Right : Real_Matrix) return Real_Matrix;
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   function "*" (Left, Right : Real_Matrix) return Real_Matrix;
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   function "*" (Left, Right : Real_Vector) return Real_Matrix;
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   function "*" (Left : Real_Vector; Right : Real_Matrix) return Real_Vector;
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   function "*" (Left : Real_Matrix; Right : Real_Vector) return Real_Vector;
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   --  Real_Matrix scaling operations
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   function "*" (Left : Real'Base;   Right : Real_Matrix) return Real_Matrix;
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   function "*" (Left : Real_Matrix; Right : Real'Base)   return Real_Matrix;
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   function "/" (Left : Real_Matrix; Right : Real'Base)   return Real_Matrix;
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   --  Real_Matrix inversion and related operations
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   function Solve (A : Real_Matrix; X : Real_Vector) return Real_Vector;
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   function Solve (A, X : Real_Matrix) return Real_Matrix;
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   function Inverse (A : Real_Matrix) return Real_Matrix;
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   function Determinant (A : Real_Matrix) return Real'Base;
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   --  Eigenvalues and vectors of a real symmetric matrix
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   function Eigenvalues (A : Real_Matrix) return Real_Vector;
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   procedure Eigensystem
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     (A       : Real_Matrix;
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      Values  : out Real_Vector;
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      Vectors : out Real_Matrix);
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   --  Other Real_Matrix operations
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   function Unit_Matrix
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     (Order   : Positive;
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      First_1 : Integer := 1;
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      First_2 : Integer := 1) return Real_Matrix;
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private
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   --  The following operations are either relatively simple compared to the
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   --  expense of returning unconstrained arrays, or are just function wrappers
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   --  calling procedures implementing the actual operation. By having the
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   --  front end always inline these, the expense of the unconstrained returns
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   --  can be avoided.
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   pragma Inline_Always ("+");
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   pragma Inline_Always ("-");
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   pragma Inline_Always ("*");
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   pragma Inline_Always ("/");
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   pragma Inline_Always ("abs");
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   pragma Inline_Always (Eigenvalues);
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   pragma Inline_Always (Inverse);
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   pragma Inline_Always (Solve);
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   pragma Inline_Always (Transpose);
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   pragma Inline_Always (Unit_Matrix);
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   pragma Inline_Always (Unit_Vector);
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end Ada.Numerics.Generic_Real_Arrays;

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