1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
|
------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- A D A . N U M E R I C S . A U X --
-- --
-- S p e c --
-- (C Library Version for x86) --
-- --
-- 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 package provides the basic computational interface for the generic
-- elementary functions. The C library version interfaces with the routines
-- in the C mathematical library, and is thus quite portable, although it may
-- not necessarily meet the requirements for accuracy in the numerics annex.
-- One advantage of using this package is that it will interface directly to
-- hardware instructions, such as the those provided on the Intel x86.
-- Note: there are two versions of this package. One using the 80-bit x86
-- long double format (which is this version), and one using 64-bit IEEE
-- double (see file a-numaux.ads).
package Ada.Numerics.Aux is
pragma Pure;
pragma Linker_Options ("-lm");
type Double is digits 18;
-- 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 Sin (X : Double) return Double;
pragma Import (C, Sin, "sinl");
pragma Pure_Function (Sin);
function Cos (X : Double) return Double;
pragma Import (C, Cos, "cosl");
pragma Pure_Function (Cos);
function Tan (X : Double) return Double;
pragma Import (C, Tan, "tanl");
pragma Pure_Function (Tan);
function Exp (X : Double) return Double;
pragma Import (C, Exp, "expl");
pragma Pure_Function (Exp);
function Sqrt (X : Double) return Double;
pragma Import (C, Sqrt, "sqrtl");
pragma Pure_Function (Sqrt);
function Log (X : Double) return Double;
pragma Import (C, Log, "logl");
pragma Pure_Function (Log);
function Acos (X : Double) return Double;
pragma Import (C, Acos, "acosl");
pragma Pure_Function (Acos);
function Asin (X : Double) return Double;
pragma Import (C, Asin, "asinl");
pragma Pure_Function (Asin);
function Atan (X : Double) return Double;
pragma Import (C, Atan, "atanl");
pragma Pure_Function (Atan);
function Sinh (X : Double) return Double;
pragma Import (C, Sinh, "sinhl");
pragma Pure_Function (Sinh);
function Cosh (X : Double) return Double;
pragma Import (C, Cosh, "coshl");
pragma Pure_Function (Cosh);
function Tanh (X : Double) return Double;
pragma Import (C, Tanh, "tanhl");
pragma Pure_Function (Tanh);
function Pow (X, Y : Double) return Double;
pragma Import (C, Pow, "powl");
pragma Pure_Function (Pow);
end Ada.Numerics.Aux;
|
