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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 --
+-- --
+-- S p e c --
+-- --
+-- Copyright (C) 1992-2009, 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_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;