------------------------------------------------------------------------------ -- -- -- GNAT RUNTIME 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) 1992-2004 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 2, 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. See the GNU General Public License -- -- for more details. You should have received a copy of the GNU General -- -- Public License distributed with GNAT; see file COPYING. If not, write -- -- to the Free Software Foundation, 59 Temple Place - Suite 330, Boston, -- -- MA 02111-1307, USA. -- -- -- -- As a special exception, if other files instantiate generics from this -- -- unit, or you link this unit with other files to produce an executable, -- -- this unit does not by itself cause the resulting executable to be -- -- covered by the GNU General Public License. This exception does not -- -- however invalidate any other reasons why the executable file might be -- -- covered by the GNU Public License. -- -- -- -- 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 (Aux); 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;