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------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- ADA.NUMERICS.GENERIC_REAL_ARRAYS --
-- --
-- S p e c --
-- --
-- Copyright (C) 2009, Free Software Foundation, Inc. --
-- --
-- This specification is derived from the Ada Reference Manual for use with --
-- GNAT. The copyright notice above, and the license provisions that follow --
-- apply solely to the contents of the part following the private keyword. --
-- --
-- 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. --
-- --
------------------------------------------------------------------------------
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 : Real_Vector) return Real_Vector;
function "-" (Right : Real_Vector) return Real_Vector;
function "abs" (Right : Real_Vector) return Real_Vector;
function "+" (Left, Right : Real_Vector) return Real_Vector;
function "-" (Left, Right : Real_Vector) return Real_Vector;
function "*" (Left, Right : Real_Vector) return Real'Base;
function "abs" (Right : Real_Vector) return Real'Base;
-- Real_Vector scaling operations
function "*" (Left : Real'Base; Right : Real_Vector) return Real_Vector;
function "*" (Left : Real_Vector; Right : Real'Base) return Real_Vector;
function "/" (Left : Real_Vector; Right : Real'Base) return Real_Vector;
-- Other Real_Vector operations
function Unit_Vector
(Index : Integer;
Order : Positive;
First : Integer := 1) return Real_Vector;
-- Subprograms for Real_Matrix types
-- Real_Matrix arithmetic operations
function "+" (Right : Real_Matrix) return Real_Matrix;
function "-" (Right : Real_Matrix) return Real_Matrix;
function "abs" (Right : Real_Matrix) return Real_Matrix;
function Transpose (X : Real_Matrix) return Real_Matrix;
function "+" (Left, Right : Real_Matrix) return Real_Matrix;
function "-" (Left, Right : Real_Matrix) return Real_Matrix;
function "*" (Left, Right : Real_Matrix) return Real_Matrix;
function "*" (Left, Right : Real_Vector) return Real_Matrix;
function "*" (Left : Real_Vector; Right : Real_Matrix) return Real_Vector;
function "*" (Left : Real_Matrix; Right : Real_Vector) return Real_Vector;
-- Real_Matrix scaling operations
function "*" (Left : Real'Base; Right : Real_Matrix) return Real_Matrix;
function "*" (Left : Real_Matrix; Right : Real'Base) return Real_Matrix;
function "/" (Left : Real_Matrix; Right : Real'Base) return Real_Matrix;
-- Real_Matrix inversion and related operations
function Solve (A : Real_Matrix; X : Real_Vector) return Real_Vector;
function Solve (A, X : Real_Matrix) return Real_Matrix;
function Inverse (A : Real_Matrix) return Real_Matrix;
function Determinant (A : Real_Matrix) return Real'Base;
-- Eigenvalues and vectors of a real symmetric matrix
function Eigenvalues (A : Real_Matrix) return Real_Vector;
procedure Eigensystem
(A : 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;
private
-- The following operations are either relatively simple compared to the
-- expense of returning unconstrained arrays, or are just function wrappers
-- calling procedures implementing the actual operation. By having the
-- front end always inline these, the expense of the unconstrained returns
-- can be avoided.
pragma Inline_Always ("+");
pragma Inline_Always ("-");
pragma Inline_Always ("*");
pragma Inline_Always ("/");
pragma Inline_Always ("abs");
pragma Inline_Always (Eigenvalues);
pragma Inline_Always (Inverse);
pragma Inline_Always (Solve);
pragma Inline_Always (Transpose);
pragma Inline_Always (Unit_Matrix);
pragma Inline_Always (Unit_Vector);
end Ada.Numerics.Generic_Real_Arrays;
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