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-- FC70A00.A

--

--                             Grant of Unlimited Rights

--

--     Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,

--     F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained

--     unlimited rights in the software and documentation contained herein.

--     Unlimited rights are defined in DFAR 252.227-7013(a)(19).  By making

--     this public release, the Government intends to confer upon all

--     recipients unlimited rights  equal to those held by the Government.

--     These rights include rights to use, duplicate, release or disclose the

--     released technical data and computer software in whole or in part, in

--     any manner and for any purpose whatsoever, and to have or permit others

--     to do so.

--

--                                    DISCLAIMER

--

--     ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR

--     DISCLOSED ARE AS IS.  THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED

--     WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE

--     SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE

--     OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A

--     PARTICULAR PURPOSE OF SAID MATERIAL.

--*

--

-- FOUNDATION DESCRIPTION:

--      This file simulates a generic complex integer support package, to be

--      used for tests covering generic formal packages.

--

-- CHANGE HISTORY:

--      06 Dec 94   SAIC    ACVC 2.0

--

--!

generic               -- Complex integer abstraction.

   type Int_Type is range <>;

package FC70A00 is

   -- Simulate a generic complex integer support package. Complex integers

   -- are treated as coordinates in the Cartesian plane.

   type Complex_Type is private;

   Zero : constant Complex_Type;                      -- (0,0).

   One  : constant Complex_Type;                      -- (1,0).

   function "-" (Right : Complex_Type)                -- Invert a complex

     return Complex_Type;                             -- integer.

   function "+" (Left, Right : Complex_Type)          -- Add two complex

     return Complex_Type;                             -- integers.

   function "*" (Left, Right : Complex_Type)          -- Multiply two complex

     return Complex_Type;                             -- integers.

   function Reciprocal (Right : Complex_Type)         -- Return the reciprocal

     return Complex_Type;                             -- of a complex integer.

   function Complex (Real, Imag : Int_Type)           -- Create a complex

     return Complex_Type;                             -- integer.

private

   type Complex_Type is record

      Real : Int_Type;

      Imag : Int_Type;

   end record;

   Zero : constant Complex_Type := (Real => 0, Imag => 0);

   One  : constant Complex_Type := (Real => 1, Imag => 0);

end FC70A00;

     --==================================================================--

package body FC70A00 is  -- Complex integer abstraction.

   function Complex (Real, Imag : Int_Type) return Complex_Type is

   begin

      return ( (Real, Imag) );

   end Complex;

               --==============================================--

   function "-" (Right : Complex_Type) return Complex_Type is

   begin

      return ( (-Right.Real, -Right.Imag) );

   end "-";

               --==============================================--

   function "+" (Left, Right : Complex_Type) return Complex_Type is

   begin

      return ( (Left.Real + Right.Real, Left.Imag + Right.Imag) );

   end "+";

               --==============================================--

   function "*" (Left, Right : Complex_Type) return Complex_Type is

   begin

      return ( (Real => (Left.Real * Right.Real) - (Left.Imag * Right.Imag),

                Imag => (Left.Imag * Right.Real) + (Left.Real * Right.Imag)) );

   end "*";

               --==============================================--

   function Reciprocal (Right : Complex_Type) return Complex_Type is

      Denominator : Int_Type := Right.Real**2 + Right.Imag**2;

   begin  -- NOTE: Results are truncated.

      return ( (Right.Real/Denominator, -Right.Imag/Denominator) );

   end Reciprocal;

end FC70A00;