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+------------------------------------------------------------------------------
+-- --
+-- GNAT RUN-TIME COMPONENTS --
+-- --
+-- S Y S T E M . E X P _ M O D --
+-- --
+-- B o d y --
+-- --
+-- Copyright (C) 1992-2005 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 2, 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 --
+-- or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License --
+-- for more details. You should have received a copy of the GNU General --
+-- Public License distributed with GNAT; see file COPYING. If not, write --
+-- to the Free Software Foundation, 51 Franklin Street, Fifth Floor, --
+-- Boston, MA 02110-1301, USA. --
+-- --
+-- As a special exception, if other files instantiate generics from this --
+-- unit, or you link this unit with other files to produce an executable, --
+-- this unit does not by itself cause the resulting executable to be --
+-- covered by the GNU General Public License. This exception does not --
+-- however invalidate any other reasons why the executable file might be --
+-- covered by the GNU Public License. --
+-- --
+-- GNAT was originally developed by the GNAT team at New York University. --
+-- Extensive contributions were provided by Ada Core Technologies Inc. --
+-- --
+------------------------------------------------------------------------------
+
+package body System.Exp_Mod is
+
+ -----------------
+ -- Exp_Modular --
+ -----------------
+
+ function Exp_Modular
+ (Left : Integer;
+ Modulus : Integer;
+ Right : Natural)
+ return Integer
+ is
+ Result : Integer := 1;
+ Factor : Integer := Left;
+ Exp : Natural := Right;
+
+ function Mult (X, Y : Integer) return Integer;
+ pragma Inline (Mult);
+ -- Modular multiplication. Note that we can't take advantage of the
+ -- compiler's circuit, because the modulus is not known statically.
+
+ function Mult (X, Y : Integer) return Integer is
+ begin
+ return Integer
+ (Long_Long_Integer (X) * Long_Long_Integer (Y)
+ mod Long_Long_Integer (Modulus));
+ end Mult;
+
+ -- Start of processing for Exp_Modular
+
+ begin
+ -- We use the standard logarithmic approach, Exp gets shifted right
+ -- testing successive low order bits and Factor is the value of the
+ -- base raised to the next power of 2.
+
+ -- Note: it is not worth special casing the cases of base values -1,0,+1
+ -- since the expander does this when the base is a literal, and other
+ -- cases will be extremely rare.
+
+ if Exp /= 0 then
+ loop
+ if Exp rem 2 /= 0 then
+ Result := Mult (Result, Factor);
+ end if;
+
+ Exp := Exp / 2;
+ exit when Exp = 0;
+ Factor := Mult (Factor, Factor);
+ end loop;
+ end if;
+
+ return Result;
+
+ end Exp_Modular;
+
+end System.Exp_Mod;