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) 1992-2013, 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 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). 40 41package Ada.Numerics.Aux is 42 pragma Pure; 43 44 pragma Linker_Options ("-lm"); 45 46 type Double is digits 15; 47 -- Type Double is the type used to call the C routines 48 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); 56 57 function Cos (X : Double) return Double; 58 pragma Inline (Cos); 59 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. 62 63 function Tan (X : Double) return Double; 64 pragma Import (C, Tan, "tan"); 65 pragma Pure_Function (Tan); 66 67 function Exp (X : Double) return Double; 68 pragma Import (C, Exp, "exp"); 69 pragma Pure_Function (Exp); 70 71 function Sqrt (X : Double) return Double; 72 pragma Import (C, Sqrt, "sqrt"); 73 pragma Pure_Function (Sqrt); 74 75 function Log (X : Double) return Double; 76 pragma Import (C, Log, "log"); 77 pragma Pure_Function (Log); 78 79 function Acos (X : Double) return Double; 80 pragma Import (C, Acos, "acos"); 81 pragma Pure_Function (Acos); 82 83 function Asin (X : Double) return Double; 84 pragma Import (C, Asin, "asin"); 85 pragma Pure_Function (Asin); 86 87 function Atan (X : Double) return Double; 88 pragma Import (C, Atan, "atan"); 89 pragma Pure_Function (Atan); 90 91 function Sinh (X : Double) return Double; 92 pragma Import (C, Sinh, "sinh"); 93 pragma Pure_Function (Sinh); 94 95 function Cosh (X : Double) return Double; 96 pragma Import (C, Cosh, "cosh"); 97 pragma Pure_Function (Cosh); 98 99 function Tanh (X : Double) return Double; 100 pragma Import (C, Tanh, "tanh"); 101 pragma Pure_Function (Tanh); 102 103 function Pow (X, Y : Double) return Double; 104 pragma Import (C, Pow, "pow"); 105 pragma Pure_Function (Pow); 106 107end Ada.Numerics.Aux; 108