--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/gcc/ada/libgnat/a-ngcoty.ads	Fri Oct 27 22:46:09 2017 +0900
@@ -0,0 +1,157 @@
+------------------------------------------------------------------------------
+--                                                                          --
+--                         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) 1992-2017, 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;