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------------------------------------------------------------------------------

--                                                                          --

--                         GNAT RUN-TIME COMPONENTS                         --

--                                                                          --

--   A D A . N U M E R I C S . G E N E R I C _ C O M P L E X _ T Y P E S    --

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--                                 S p e c                                  --

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--          Copyright (C) 1992-2009, Free Software Foundation, Inc.         --

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-- 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. --

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-- 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- --

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-- additional permissions described in the GCC Runtime Library Exception,   --

-- version 3.1, as published by the Free Software Foundation.               --

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-- GNAT was originally developed  by the GNAT team at  New York University. --

-- Extensive contributions were provided by Ada Core Technologies Inc.      --

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generic

   type Real is digits <>;

package Ada.Numerics.Generic_Complex_Types is

   pragma Pure;

   type Complex is record

      Re, Im : Real'Base;

   end record;

   pragma Complex_Representation (Complex);

   type Imaginary is private;

   pragma Preelaborable_Initialization (Imaginary);

   i : constant Imaginary;

   j : constant Imaginary;

   function Re (X : Complex)   return Real'Base;

   function Im (X : Complex)   return Real'Base;

   function Im (X : Imaginary) return Real'Base;

   procedure Set_Re (X : in out Complex; Re : Real'Base);

   procedure Set_Im (X : in out Complex; Im : Real'Base);

   procedure Set_Im (X : out Imaginary;  Im : Real'Base);

   function Compose_From_Cartesian (Re, Im : Real'Base) return Complex;

   function Compose_From_Cartesian (Re     : Real'Base) return Complex;

   function Compose_From_Cartesian (Im     : Imaginary) return Complex;

   function Modulus (X     : Complex) return Real'Base;

   function "abs"   (Right : Complex) return Real'Base renames Modulus;

   function Argument (X : Complex)                    return Real'Base;

   function Argument (X : Complex; Cycle : Real'Base) return Real'Base;

   function Compose_From_Polar (

     Modulus, Argument : Real'Base)

     return Complex;

   function Compose_From_Polar (

     Modulus, Argument, Cycle : Real'Base)

     return Complex;

   function "+"       (Right : Complex) return Complex;

   function "-"       (Right : Complex) return Complex;

   function Conjugate (X     : Complex) return Complex;

   function "+"       (Left, Right : Complex) return Complex;

   function "-"       (Left, Right : Complex) return Complex;

   function "*"       (Left, Right : Complex) return Complex;

   function "/"       (Left, Right : Complex) return Complex;

   function "**"      (Left : Complex; Right : Integer) return Complex;

   function "+"       (Right : Imaginary) return Imaginary;

   function "-"       (Right : Imaginary) return Imaginary;

   function Conjugate (X     : Imaginary) return Imaginary renames "-";

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

   function "+"       (Left, Right : Imaginary) return Imaginary;

   function "-"       (Left, Right : Imaginary) return Imaginary;

   function "*"       (Left, Right : Imaginary) return Real'Base;

   function "/"       (Left, Right : Imaginary) return Real'Base;

   function "**"      (Left : Imaginary; Right : Integer) return Complex;

   function "<"       (Left, Right : Imaginary) return Boolean;

   function "<="      (Left, Right : Imaginary) return Boolean;

   function ">"       (Left, Right : Imaginary) return Boolean;

   function ">="      (Left, Right : Imaginary) return Boolean;

   function "+"       (Left : Complex;   Right : Real'Base) return Complex;

   function "+"       (Left : Real'Base; Right : Complex)   return Complex;

   function "-"       (Left : Complex;   Right : Real'Base) return Complex;

   function "-"       (Left : Real'Base; Right : Complex)   return Complex;

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

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

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

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

   function "+"       (Left : Complex;   Right : Imaginary) return Complex;

   function "+"       (Left : Imaginary; Right : Complex)   return Complex;

   function "-"       (Left : Complex;   Right : Imaginary) return Complex;

   function "-"       (Left : Imaginary; Right : Complex)   return Complex;

   function "*"       (Left : Complex;   Right : Imaginary) return Complex;

   function "*"       (Left : Imaginary; Right : Complex)   return Complex;

   function "/"       (Left : Complex;   Right : Imaginary) return Complex;

   function "/"       (Left : Imaginary; Right : Complex)   return Complex;

   function "+"       (Left : Imaginary; Right : Real'Base) return Complex;

   function "+"       (Left : Real'Base; Right : Imaginary) return Complex;

   function "-"       (Left : Imaginary; Right : Real'Base) return Complex;

   function "-"       (Left : Real'Base; Right : Imaginary) return Complex;

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

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

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

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

private

   type Imaginary is new Real'Base;

   i : constant Imaginary := 1.0;

   j : constant Imaginary := 1.0;

   pragma Inline ("+");

   pragma Inline ("-");

   pragma Inline ("*");

   pragma Inline ("<");

   pragma Inline ("<=");

   pragma Inline (">");

   pragma Inline (">=");

   pragma Inline ("abs");

   pragma Inline (Compose_From_Cartesian);

   pragma Inline (Conjugate);

   pragma Inline (Im);

   pragma Inline (Re);

   pragma Inline (Set_Im);

   pragma Inline (Set_Re);

end Ada.Numerics.Generic_Complex_Types;