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--                          (Apple OS X Version)                            --
9--                                                                          --
10--          Copyright (C) 1992-2018, 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 version is for use on OS X. It uses the normal Unix math functions,
34--  except for sine/cosine which have been implemented directly in Ada to get
35--  the required accuracy.
36
37package Ada.Numerics.Aux is
38   pragma Pure;
39
40   pragma Linker_Options ("-lm");
41
42   type Double is new Long_Float;
43   --  Type Double is the type used to call the C routines
44
45   --  The following functions have been implemented in Ada, since
46   --  the OS X math library didn't meet accuracy requirements for
47   --  argument reduction. The implementation here has been tailored
48   --  to match Ada strict mode Numerics requirements while maintaining
49   --  maximum efficiency.
50   function Sin (X : Double) return Double;
51   pragma Inline (Sin);
52
53   function Cos (X : Double) return Double;
54   pragma Inline (Cos);
55
56   --  We import these functions directly from C. Note that we label them
57   --  all as pure functions, because indeed all of them are in fact pure.
58
59   function Tan (X : Double) return Double;
60   pragma Import (C, Tan, "tan");
61   pragma Pure_Function (Tan);
62
63   function Exp (X : Double) return Double;
64   pragma Import (C, Exp, "exp");
65   pragma Pure_Function (Exp);
66
67   function Sqrt (X : Double) return Double;
68   pragma Import (C, Sqrt, "sqrt");
69   pragma Pure_Function (Sqrt);
70
71   function Log (X : Double) return Double;
72   pragma Import (C, Log, "log");
73   pragma Pure_Function (Log);
74
75   function Acos (X : Double) return Double;
76   pragma Import (C, Acos, "acos");
77   pragma Pure_Function (Acos);
78
79   function Asin (X : Double) return Double;
80   pragma Import (C, Asin, "asin");
81   pragma Pure_Function (Asin);
82
83   function Atan (X : Double) return Double;
84   pragma Import (C, Atan, "atan");
85   pragma Pure_Function (Atan);
86
87   function Sinh (X : Double) return Double;
88   pragma Import (C, Sinh, "sinh");
89   pragma Pure_Function (Sinh);
90
91   function Cosh (X : Double) return Double;
92   pragma Import (C, Cosh, "cosh");
93   pragma Pure_Function (Cosh);
94
95   function Tanh (X : Double) return Double;
96   pragma Import (C, Tanh, "tanh");
97   pragma Pure_Function (Tanh);
98
99   function Pow (X, Y : Double) return Double;
100   pragma Import (C, Pow, "pow");
101   pragma Pure_Function (Pow);
102
103end Ada.Numerics.Aux;
104