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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) 1992-2013, 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;
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