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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) 1992-2009, 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 ------------------------------------------------------------------------------
33 -- This version is for use with normal Unix math functions, except for
34 -- sine/cosine which have been implemented directly in Ada to get
35 -- the required accuracy in OS X. Alternative packages are used
36 -- on OpenVMS (different import names), VxWorks (no need for the
37 -- -lm Linker_Options), and on the x86 (where we have two
38 -- versions one using inline ASM, and one importing from the C long
39 -- routines that take 80-bit arguments).
41 package Ada.Numerics.Aux is
42 pragma Pure;
44 pragma Linker_Options ("-lm");
46 type Double is digits 15;
47 -- Type Double is the type used to call the C routines
49 -- The following functions have been implemented in Ada, since
50 -- the OS X math library didn't meet accuracy requirements for
51 -- argument reduction. The implementation here has been tailored
52 -- to match Ada strict mode Numerics requirements while maintaining
53 -- maximum efficiency.
54 function Sin (X : Double) return Double;
55 pragma Inline (Sin);
57 function Cos (X : Double) return Double;
58 pragma Inline (Cos);
60 -- We import these functions directly from C. Note that we label them
61 -- all as pure functions, because indeed all of them are in fact pure!
63 function Tan (X : Double) return Double;
64 pragma Import (C, Tan, "tan");
65 pragma Pure_Function (Tan);
67 function Exp (X : Double) return Double;
68 pragma Import (C, Exp, "exp");
69 pragma Pure_Function (Exp);
71 function Sqrt (X : Double) return Double;
72 pragma Import (C, Sqrt, "sqrt");
73 pragma Pure_Function (Sqrt);
75 function Log (X : Double) return Double;
76 pragma Import (C, Log, "log");
77 pragma Pure_Function (Log);
79 function Acos (X : Double) return Double;
80 pragma Import (C, Acos, "acos");
81 pragma Pure_Function (Acos);
83 function Asin (X : Double) return Double;
84 pragma Import (C, Asin, "asin");
85 pragma Pure_Function (Asin);
87 function Atan (X : Double) return Double;
88 pragma Import (C, Atan, "atan");
89 pragma Pure_Function (Atan);
91 function Sinh (X : Double) return Double;
92 pragma Import (C, Sinh, "sinh");
93 pragma Pure_Function (Sinh);
95 function Cosh (X : Double) return Double;
96 pragma Import (C, Cosh, "cosh");
97 pragma Pure_Function (Cosh);
99 function Tanh (X : Double) return Double;
100 pragma Import (C, Tanh, "tanh");
101 pragma Pure_Function (Tanh);
103 function Pow (X, Y : Double) return Double;
104 pragma Import (C, Pow, "pow");
105 pragma Pure_Function (Pow);
107 end Ada.Numerics.Aux;