1------------------------------------------------------------------------------
2--                                                                          --
3--                         GNAT RUN-TIME COMPONENTS                         --
4--                                                                          --
5--                     A D A . N U M E R I C S . A U X                      --
6--                                                                          --
7--                                 S p e c                                  --
8--                       (C Library Version for x86)                        --
9--                                                                          --
10--          Copyright (C) 1992-2013, Free Software Foundation, Inc.         --
11--                                                                          --
12-- GNAT is free software;  you can  redistribute it  and/or modify it under --
13-- terms of the  GNU General Public License as published  by the Free Soft- --
14-- ware  Foundation;  either version 3,  or (at your option) any later ver- --
15-- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
16-- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
17-- or FITNESS FOR A PARTICULAR PURPOSE.                                     --
18--                                                                          --
19-- As a special exception under Section 7 of GPL version 3, you are granted --
20-- additional permissions described in the GCC Runtime Library Exception,   --
21-- version 3.1, as published by the Free Software Foundation.               --
22--                                                                          --
23-- You should have received a copy of the GNU General Public License and    --
24-- a copy of the GCC Runtime Library Exception along with this program;     --
25-- see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see    --
26-- <http://www.gnu.org/licenses/>.                                          --
27--                                                                          --
28-- GNAT was originally developed  by the GNAT team at  New York University. --
29-- Extensive contributions were provided by Ada Core Technologies Inc.      --
30--                                                                          --
31------------------------------------------------------------------------------
32
33--  This package provides the basic computational interface for the generic
34--  elementary functions. The C library version interfaces with the routines
35--  in the C mathematical library, and is thus quite portable, although it may
36--  not necessarily meet the requirements for accuracy in the numerics annex.
37--  One advantage of using this package is that it will interface directly to
38--  hardware instructions, such as the those provided on the Intel x86.
39
40--  Note: there are two versions of this package. One using the 80-bit x86
41--  long double format (which is this version), and one using 64-bit IEEE
42--  double (see file a-numaux.ads).
43
44package Ada.Numerics.Aux is
45   pragma Pure;
46
47   pragma Linker_Options ("-lm");
48
49   type Double is digits 18;
50
51   --  We import these functions directly from C. Note that we label them
52   --  all as pure functions, because indeed all of them are in fact pure.
53
54   function Sin (X : Double) return Double;
55   pragma Import (C, Sin, "sinl");
56   pragma Pure_Function (Sin);
57
58   function Cos (X : Double) return Double;
59   pragma Import (C, Cos, "cosl");
60   pragma Pure_Function (Cos);
61
62   function Tan (X : Double) return Double;
63   pragma Import (C, Tan, "tanl");
64   pragma Pure_Function (Tan);
65
66   function Exp (X : Double) return Double;
67   pragma Import (C, Exp, "expl");
68   pragma Pure_Function (Exp);
69
70   function Sqrt (X : Double) return Double;
71   pragma Import (C, Sqrt, "sqrtl");
72   pragma Pure_Function (Sqrt);
73
74   function Log (X : Double) return Double;
75   pragma Import (C, Log, "logl");
76   pragma Pure_Function (Log);
77
78   function Acos (X : Double) return Double;
79   pragma Import (C, Acos, "acosl");
80   pragma Pure_Function (Acos);
81
82   function Asin (X : Double) return Double;
83   pragma Import (C, Asin, "asinl");
84   pragma Pure_Function (Asin);
85
86   function Atan (X : Double) return Double;
87   pragma Import (C, Atan, "atanl");
88   pragma Pure_Function (Atan);
89
90   function Sinh (X : Double) return Double;
91   pragma Import (C, Sinh, "sinhl");
92   pragma Pure_Function (Sinh);
93
94   function Cosh (X : Double) return Double;
95   pragma Import (C, Cosh, "coshl");
96   pragma Pure_Function (Cosh);
97
98   function Tanh (X : Double) return Double;
99   pragma Import (C, Tanh, "tanhl");
100   pragma Pure_Function (Tanh);
101
102   function Pow (X, Y : Double) return Double;
103   pragma Import (C, Pow, "powl");
104   pragma Pure_Function (Pow);
105
106end Ada.Numerics.Aux;
107