------------------------------------------------------------------------------
--                                                                          --
--                         GNAT RUN-TIME COMPONENTS                         --
--                                                                          --
--                        S Y S T E M . E X P O N U                         --
--                                                                          --
--                                 S p e c                                  --
--                                                                          --
--          Copyright (C) 1992-2025, 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 --
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-- additional permissions described in the GCC Runtime Library Exception,   --
-- version 3.1, as published by the Free Software Foundation.               --
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-- You should have received a copy of the GNU General Public License and    --
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-- 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 function implements unsigned integer exponentiation

--  Preconditions in this unit are meant for analysis only, not for run-time
--  checking, so that the expected exceptions are raised. This is enforced
--  by setting the corresponding assertion policy to Ignore. Postconditions
--  and contract cases should not be executed at runtime as well, in order
--  not to slow down the execution of these functions.

pragma Assertion_Policy (Pre            => Ignore,
                         Post           => Ignore,
                         Contract_Cases => Ignore,
                         Ghost          => Ignore);

generic

   type Int is mod <>;

function System.Exponu (Left : Int; Right : Natural) return Int
with
  SPARK_Mode,
  Post => System.Exponu'Result = Left ** Right;
--  Calculate ``Left`` ** ``Right``. If ``Left`` is 0 then 0 is returned
--  and if ``Right`` is 0 then 1 is returned. In all other cases the result
--  is set to 1 and then computed in a loop as follows:
--  If ``Right`` is a multiple of 2 then multiply the result with ``Left``.
--  Divide ``Right`` by 2.
--  If ``Right is 0, return.
--  Multiply ``Left`` with itself.