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------------------------------------------------------------------------------
--                                                                          --
--                         GNAT RUN-TIME COMPONENTS                         --
--                                                                          --
--                     A D A . N U M E R I C S . A U X                      --
--                                                                          --
--                                 S p e c                                  --
--                       (C Library Version for x86)                        --
--                                                                          --
--          Copyright (C) 1992-2009, Free Software Foundation, Inc.         --
--                                                                          --
-- 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.      --
--                                                                          --
------------------------------------------------------------------------------
 
--  This package provides the basic computational interface for the generic
--  elementary functions. The C library version interfaces with the routines
--  in the C mathematical library, and is thus quite portable, although it may
--  not necessarily meet the requirements for accuracy in the numerics annex.
--  One advantage of using this package is that it will interface directly to
--  hardware instructions, such as the those provided on the Intel x86.
 
--  Note: there are two versions of this package. One using the 80-bit x86
--  long double format (which is this version), and one using 64-bit IEEE
--  double (see file a-numaux.ads).
 
package Ada.Numerics.Aux is
   pragma Pure;
 
   pragma Linker_Options ("-lm");
 
   type Double is digits 18;
 
   --  We import these functions directly from C. Note that we label them
   --  all as pure functions, because indeed all of them are in fact pure!
 
   function Sin (X : Double) return Double;
   pragma Import (C, Sin, "sinl");
   pragma Pure_Function (Sin);
 
   function Cos (X : Double) return Double;
   pragma Import (C, Cos, "cosl");
   pragma Pure_Function (Cos);
 
   function Tan (X : Double) return Double;
   pragma Import (C, Tan, "tanl");
   pragma Pure_Function (Tan);
 
   function Exp (X : Double) return Double;
   pragma Import (C, Exp, "expl");
   pragma Pure_Function (Exp);
 
   function Sqrt (X : Double) return Double;
   pragma Import (C, Sqrt, "sqrtl");
   pragma Pure_Function (Sqrt);
 
   function Log (X : Double) return Double;
   pragma Import (C, Log, "logl");
   pragma Pure_Function (Log);
 
   function Acos (X : Double) return Double;
   pragma Import (C, Acos, "acosl");
   pragma Pure_Function (Acos);
 
   function Asin (X : Double) return Double;
   pragma Import (C, Asin, "asinl");
   pragma Pure_Function (Asin);
 
   function Atan (X : Double) return Double;
   pragma Import (C, Atan, "atanl");
   pragma Pure_Function (Atan);
 
   function Sinh (X : Double) return Double;
   pragma Import (C, Sinh, "sinhl");
   pragma Pure_Function (Sinh);
 
   function Cosh (X : Double) return Double;
   pragma Import (C, Cosh, "coshl");
   pragma Pure_Function (Cosh);
 
   function Tanh (X : Double) return Double;
   pragma Import (C, Tanh, "tanhl");
   pragma Pure_Function (Tanh);
 
   function Pow (X, Y : Double) return Double;
   pragma Import (C, Pow, "powl");
   pragma Pure_Function (Pow);
 
end Ada.Numerics.Aux;