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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;