| ------------------------------------------------------------------------------ |
| -- -- |
| -- 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) 1992-2005, 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, 51 Franklin Street, Fifth Floor, -- |
| -- Boston, MA 02110-1301, 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; |
| |
| 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; |
