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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                                  --

--                          (Apple OS X Version)                            --

--                                                                          --

--          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 version is for use with normal Unix math functions, except for

--  sine/cosine which have been implemented directly in Ada to get

--  the required accuracy in OS X.  Alternative packages are used

--  on OpenVMS (different import names), VxWorks (no need for the

--  -lm Linker_Options), and on the x86 (where we have two

--  versions one using inline ASM, and one importing from the C long

--  routines that take 80-bit arguments).

package Ada.Numerics.Aux is

   pragma Pure;

   pragma Linker_Options ("-lm");

   type Double is digits 15;

   --  Type Double is the type used to call the C routines

   --  The following functions have been implemented in Ada, since

   --  the OS X math library didn't meet accuracy requirements for

   --  argument reduction. The implementation here has been tailored

   --  to match Ada strict mode Numerics requirements while maintaining

   --  maximum efficiency.

   function Sin (X : Double) return Double;

   pragma Inline (Sin);

   function Cos (X : Double) return Double;

   pragma Inline (Cos);

   --  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 Tan (X : Double) return Double;

   pragma Import (C, Tan, "tan");

   pragma Pure_Function (Tan);

   function Exp (X : Double) return Double;

   pragma Import (C, Exp, "exp");

   pragma Pure_Function (Exp);

   function Sqrt (X : Double) return Double;

   pragma Import (C, Sqrt, "sqrt");

   pragma Pure_Function (Sqrt);

   function Log (X : Double) return Double;

   pragma Import (C, Log, "log");

   pragma Pure_Function (Log);

   function Acos (X : Double) return Double;

   pragma Import (C, Acos, "acos");

   pragma Pure_Function (Acos);

   function Asin (X : Double) return Double;

   pragma Import (C, Asin, "asin");

   pragma Pure_Function (Asin);

   function Atan (X : Double) return Double;

   pragma Import (C, Atan, "atan");

   pragma Pure_Function (Atan);

   function Sinh (X : Double) return Double;

   pragma Import (C, Sinh, "sinh");

   pragma Pure_Function (Sinh);

   function Cosh (X : Double) return Double;

   pragma Import (C, Cosh, "cosh");

   pragma Pure_Function (Cosh);

   function Tanh (X : Double) return Double;

   pragma Import (C, Tanh, "tanh");

   pragma Pure_Function (Tanh);

   function Pow (X, Y : Double) return Double;

   pragma Import (C, Pow, "pow");

   pragma Pure_Function (Pow);

end Ada.Numerics.Aux;