------------------------------------------------------------------------------
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------------------------------------------------------------------------------
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-- --
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-- --
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-- GNAT RUN-TIME COMPONENTS --
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-- GNAT RUN-TIME COMPONENTS --
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-- --
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-- --
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-- A D A . N U M E R I C S . A U X --
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-- A D A . N U M E R I C S . A U X --
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-- --
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-- --
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-- S p e c --
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-- S p e c --
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-- (Apple OS X Version) --
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-- (Apple OS X Version) --
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-- --
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-- --
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-- Copyright (C) 1992-2009, Free Software Foundation, Inc. --
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-- Copyright (C) 1992-2009, Free Software Foundation, Inc. --
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-- --
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-- --
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-- GNAT is free software; you can redistribute it and/or modify it under --
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-- GNAT is free software; you can redistribute it and/or modify it under --
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-- terms of the GNU General Public License as published by the Free Soft- --
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-- terms of the GNU General Public License as published by the Free Soft- --
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-- ware Foundation; either version 3, or (at your option) any later ver- --
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-- ware Foundation; either version 3, or (at your option) any later ver- --
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-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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-- or FITNESS FOR A PARTICULAR PURPOSE. --
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-- or FITNESS FOR A PARTICULAR PURPOSE. --
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-- --
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-- --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- additional permissions described in the GCC Runtime Library Exception, --
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-- additional permissions described in the GCC Runtime Library Exception, --
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-- version 3.1, as published by the Free Software Foundation. --
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-- version 3.1, as published by the Free Software Foundation. --
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-- --
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-- --
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-- You should have received a copy of the GNU General Public License and --
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-- You should have received a copy of the GNU General Public License and --
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-- a copy of the GCC Runtime Library Exception along with this program; --
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-- a copy of the GCC Runtime Library Exception along with this program; --
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-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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-- <http://www.gnu.org/licenses/>. --
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-- <http://www.gnu.org/licenses/>. --
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-- --
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-- --
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-- GNAT was originally developed by the GNAT team at New York University. --
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-- GNAT was originally developed by the GNAT team at New York University. --
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-- Extensive contributions were provided by Ada Core Technologies Inc. --
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-- Extensive contributions were provided by Ada Core Technologies Inc. --
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-- --
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-- --
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------------------------------------------------------------------------------
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------------------------------------------------------------------------------
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-- This version is for use with normal Unix math functions, except for
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-- This version is for use with normal Unix math functions, except for
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-- sine/cosine which have been implemented directly in Ada to get
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-- sine/cosine which have been implemented directly in Ada to get
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-- the required accuracy in OS X. Alternative packages are used
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-- the required accuracy in OS X. Alternative packages are used
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-- on OpenVMS (different import names), VxWorks (no need for the
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-- on OpenVMS (different import names), VxWorks (no need for the
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-- -lm Linker_Options), and on the x86 (where we have two
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-- -lm Linker_Options), and on the x86 (where we have two
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-- versions one using inline ASM, and one importing from the C long
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-- versions one using inline ASM, and one importing from the C long
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-- routines that take 80-bit arguments).
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-- routines that take 80-bit arguments).
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package Ada.Numerics.Aux is
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package Ada.Numerics.Aux is
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pragma Pure;
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pragma Pure;
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pragma Linker_Options ("-lm");
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pragma Linker_Options ("-lm");
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type Double is digits 15;
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type Double is digits 15;
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-- Type Double is the type used to call the C routines
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-- Type Double is the type used to call the C routines
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-- The following functions have been implemented in Ada, since
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-- The following functions have been implemented in Ada, since
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-- the OS X math library didn't meet accuracy requirements for
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-- the OS X math library didn't meet accuracy requirements for
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-- argument reduction. The implementation here has been tailored
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-- argument reduction. The implementation here has been tailored
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-- to match Ada strict mode Numerics requirements while maintaining
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-- to match Ada strict mode Numerics requirements while maintaining
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-- maximum efficiency.
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-- maximum efficiency.
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function Sin (X : Double) return Double;
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function Sin (X : Double) return Double;
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pragma Inline (Sin);
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pragma Inline (Sin);
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function Cos (X : Double) return Double;
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function Cos (X : Double) return Double;
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pragma Inline (Cos);
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pragma Inline (Cos);
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-- We import these functions directly from C. Note that we label them
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-- We import these functions directly from C. Note that we label them
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-- all as pure functions, because indeed all of them are in fact pure!
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-- all as pure functions, because indeed all of them are in fact pure!
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function Tan (X : Double) return Double;
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function Tan (X : Double) return Double;
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pragma Import (C, Tan, "tan");
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pragma Import (C, Tan, "tan");
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pragma Pure_Function (Tan);
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pragma Pure_Function (Tan);
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function Exp (X : Double) return Double;
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function Exp (X : Double) return Double;
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pragma Import (C, Exp, "exp");
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pragma Import (C, Exp, "exp");
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pragma Pure_Function (Exp);
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pragma Pure_Function (Exp);
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function Sqrt (X : Double) return Double;
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function Sqrt (X : Double) return Double;
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pragma Import (C, Sqrt, "sqrt");
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pragma Import (C, Sqrt, "sqrt");
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pragma Pure_Function (Sqrt);
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pragma Pure_Function (Sqrt);
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function Log (X : Double) return Double;
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function Log (X : Double) return Double;
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pragma Import (C, Log, "log");
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pragma Import (C, Log, "log");
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pragma Pure_Function (Log);
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pragma Pure_Function (Log);
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function Acos (X : Double) return Double;
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function Acos (X : Double) return Double;
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pragma Import (C, Acos, "acos");
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pragma Import (C, Acos, "acos");
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pragma Pure_Function (Acos);
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pragma Pure_Function (Acos);
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function Asin (X : Double) return Double;
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function Asin (X : Double) return Double;
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pragma Import (C, Asin, "asin");
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pragma Import (C, Asin, "asin");
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pragma Pure_Function (Asin);
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pragma Pure_Function (Asin);
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function Atan (X : Double) return Double;
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function Atan (X : Double) return Double;
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pragma Import (C, Atan, "atan");
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pragma Import (C, Atan, "atan");
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pragma Pure_Function (Atan);
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pragma Pure_Function (Atan);
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function Sinh (X : Double) return Double;
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function Sinh (X : Double) return Double;
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pragma Import (C, Sinh, "sinh");
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pragma Import (C, Sinh, "sinh");
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pragma Pure_Function (Sinh);
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pragma Pure_Function (Sinh);
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function Cosh (X : Double) return Double;
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function Cosh (X : Double) return Double;
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pragma Import (C, Cosh, "cosh");
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pragma Import (C, Cosh, "cosh");
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pragma Pure_Function (Cosh);
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pragma Pure_Function (Cosh);
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function Tanh (X : Double) return Double;
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function Tanh (X : Double) return Double;
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pragma Import (C, Tanh, "tanh");
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pragma Import (C, Tanh, "tanh");
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pragma Pure_Function (Tanh);
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pragma Pure_Function (Tanh);
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function Pow (X, Y : Double) return Double;
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function Pow (X, Y : Double) return Double;
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pragma Import (C, Pow, "pow");
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pragma Import (C, Pow, "pow");
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pragma Pure_Function (Pow);
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pragma Pure_Function (Pow);
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end Ada.Numerics.Aux;
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end Ada.Numerics.Aux;
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