Ada Programming/Libraries/Ada.Numerics.Generic Elementary Functions

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This language feature is available from Ada 95 on.

Ada.Numerics.Generic_Elementary_Functions is a unit of the Predefined Language Environment since Ada 95.

The generic package Ada.Numerics.Generic_Elementary_Functions defines various mathematical functions for floating point type. Being generic it can not only be used for predefined floating point types but also for any user defined floating type.

Usage[edit | edit source]

There is an extensive usage guide in Ada Programming/Mathematical calculations. Here the relevant extract:

File: numeric_4.adb (view, plain text, download page, browse all)
with Ada.Numerics.Generic_Elementary_Functions;

procedure Numeric_4 is

  type Value_Type is digits 12 range
     -999_999_999_999.0e999 .. 999_999_999_999.0e999;

  package Value_Functions is new Ada.Numerics.Generic_Elementary_Functions (
     Value_Type);

Specification[edit | edit source]

--                     Standard Ada library specification
--   Copyright (c) 2003-2018 Maxim Reznik <reznikmm@gmail.com>
--   Copyright (c) 2004-2016 AXE Consultants
--   Copyright (c) 2004, 2005, 2006 Ada-Europe
--   Copyright (c) 2000 The MITRE Corporation, Inc.
--   Copyright (c) 1992, 1993, 1994, 1995 Intermetrics, Inc.
--   SPDX-License-Identifier: BSD-3-Clause and LicenseRef-AdaReferenceManual
-- -------------------------------------------------------------------------

generic
   type Float_Type is digits <>;

package Ada.Numerics.Generic_Elementary_Functions is
   pragma Pure (Generic_Elementary_Functions);

   function Sqrt
     (X           : Float_Type'Base) return Float_Type'Base;
   function Log
     (X           : Float_Type'Base) return Float_Type'Base;
   function Log
     (X, Base     : Float_Type'Base) return Float_Type'Base;
   function Exp
     (X           : Float_Type'Base) return Float_Type'Base;
   function "**"    (Left, Right : Float_Type'Base) return Float_Type'Base;

   function Sin
     (X           : Float_Type'Base) return Float_Type'Base;
   function Sin
     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
   function Cos
     (X           : Float_Type'Base) return Float_Type'Base;
   function Cos
     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
   function Tan
     (X           : Float_Type'Base) return Float_Type'Base;
   function Tan
     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
   function Cot
     (X           : Float_Type'Base) return Float_Type'Base;
   function Cot
     (X, Cycle    : Float_Type'Base) return Float_Type'Base;

   function Arcsin
     (X           : Float_Type'Base) return Float_Type'Base;
   function Arcsin
     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
   function Arccos
     (X           : Float_Type'Base) return Float_Type'Base;
   function Arccos
     (X, Cycle    : Float_Type'Base) return Float_Type'Base;
   function Arctan  (Y           : Float_Type'Base;
                     X           : Float_Type'Base := 1.0)
                    return Float_Type'Base;
   function Arctan  (Y           : Float_Type'Base;
                     X           : Float_Type'Base := 1.0;
                     Cycle       : Float_Type'Base) return Float_Type'Base;
   function Arccot  (X           : Float_Type'Base;
                     Y           : Float_Type'Base := 1.0)
                    return Float_Type'Base;
   function Arccot  (X           : Float_Type'Base;
                     Y           : Float_Type'Base := 1.0;
                     Cycle       : Float_Type'Base) return Float_Type'Base;

   function Sinh
     (X           : Float_Type'Base) return Float_Type'Base;
   function Cosh
     (X           : Float_Type'Base) return Float_Type'Base;
   function Tanh
     (X           : Float_Type'Base) return Float_Type'Base;
   function Coth
     (X           : Float_Type'Base) return Float_Type'Base;
   function Arcsinh
     (X           : Float_Type'Base) return Float_Type'Base;
   function Arccosh
     (X           : Float_Type'Base) return Float_Type'Base;
   function Arctanh
     (X           : Float_Type'Base) return Float_Type'Base;
   function Arccoth
     (X           : Float_Type'Base) return Float_Type'Base;

end Ada.Numerics.Generic_Elementary_Functions;

See also[edit | edit source]

Wikibook[edit | edit source]

Ada Reference Manual[edit | edit source]

Ada 95[edit | edit source]

Ada 2005[edit | edit source]

Ada 2012[edit | edit source]

Open-Source Implementations[edit | edit source]

FSF GNAT

drake

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