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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) 1992-2019, 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
37 package 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
103 end Ada.Numerics.Aux;