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?? 密碼大家Shoup寫的數論算法c語言實現
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COPYRIGHT NOTICENTL -- A Library for Doing Number TheoryCopyright (C) 1996, 1997, 1998, 1999, 2000  Victor ShoupThe most recent cersion of NTL is available at http://www.shoup.netThis program is free software; you can redistribute it and/ormodify it under the terms of the GNU General Public Licenseas published by the Free Software Foundation; either version 2of the License, or (at your option) any later version.This program is distributed in the hope that it will be useful,but WITHOUT ANY WARRANTY; without even the implied warranty ofMERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See theGNU General Public License for more details.You should have received a copy of the GNU General Public Licensealong with this program; if not, write to the Free SoftwareFoundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.This entire copyright notice should be placed in an appropriatelyconspicuous place accompanying all distributions of software that make use of NTL.The above terms apply to all of the software modules distributed with NTL,i.e., all source files in either the ntl-xxx.tar.gz or WinNTL-xxx.zip distributions.  In general, the individual files do not contain copyright notices.Note that the quad_float package is derived from the doubledouble package,originally developed by Keith Briggs, and also licensed unger the GNU GPL.The files quad_float.c and quad_float.h contain more detailed copyrightnotices.Note that the traditional long integer package used by NTL, lip.c, is derivedfrom---and represents an extensive modification of---a package originally developed and copyrighted by Arjen Lenstra,who has agreed to renounce any copyright claims on the particular version of the long integer package appearing in NTL, so that thethis package now is covered by the GNU GPL as well.Note that the alternative long integer package used by NTL is GMP,which is written by Torbjorn Granlund <tege@swox.com>.GMP is licensed under the terms of the GNU Lesser General Public License.Note that NTL makes use of the RSA Data Security, Inc. MD5 Message Digest Algorithm.Note that prior to version 4.0, NTL was distributed under the following terms:   NTL is freely available for research and educational purposes.   I don't want to attach any legalistic licensing restrictions on   users of NTL.   However, NTL should not be linked in a commercial program   (although using data in a commercial   product produced by a program that used NTL is fine).The hope is that the GNU GPL is actually less restrictive than theseolder terms;  however, in any circumstances such that GNU GPL is morerestrictive, then the following rule is in force:versions prior to 4.0 may continue to be used under the old terms,but users of versions 4.0 or later should adhere to the terms of the GNU GPL.END COPYRIGHT NOTICEFollowing is the complete text of the GNU General Public License.Note that the copyright notice below applies to the text of the licenseitself, and not to NTL.		    GNU GENERAL PUBLIC LICENSE		       Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc.                       59 Temple Place, Suite 330, Boston, MA  02111-1307  USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed.			    Preamble  The licenses for most software are designed to take away yourfreedom to share and change it.  By contrast, the GNU General PublicLicense is intended to guarantee your freedom to share and change freesoftware--to make sure the software is free for all its users.  ThisGeneral Public License applies to most of the Free SoftwareFoundation's software and to any other program whose authors commit tousing it.  (Some other Free Software Foundation software is covered bythe GNU Library General Public License instead.)  You can apply it toyour programs, too.  When we speak of free software, we are referring to freedom, notprice.  Our General Public Licenses are designed to make sure that youhave the freedom to distribute copies of free software (and charge forthis service if you wish), that you receive source code or can get itif you want it, that you can change the software or use pieces of itin new free programs; and that you know you can do these things.  To protect your rights, we need to make restrictions that forbidanyone to deny you these rights or to ask you to surrender the rights.These restrictions translate to certain responsibilities for you if youdistribute copies of the software, or if you modify it.  For example, if you distribute copies of such a program, whethergratis or for a fee, you must give the recipients all the rights thatyou have.  You must make sure that they, too, receive or can get thesource code.  And you must show them these terms so they know theirrights.  We protect your rights with two steps: (1) copyright the software, and(2) offer you this license which gives you legal permission to copy,distribute and/or modify the software.  Also, for each author's protection and ours, we want to make certainthat everyone understands that there is no warranty for this freesoftware.  If the software is modified by someone else and passed on, wewant its recipients to know that what they have is not the original, sothat any problems introduced by others will not reflect on the originalauthors' reputations.  Finally, any free program is threatened constantly by softwarepatents.  We wish to avoid the danger that redistributors of a freeprogram will individually obtain patent licenses, in effect making theprogram proprietary.  To prevent this, we have made it clear that anypatent must be licensed for everyone's free use or not licensed at all.  The precise terms and conditions for copying, distribution andmodification follow.		    GNU GENERAL PUBLIC LICENSE   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION  0. This License applies to any program or other work which containsa notice placed by the copyright holder saying it may be distributedunder the terms of this General Public License.  The "Program", below,refers to any such program or work, and a "work based on the Program"means either the Program or any derivative work under copyright law:that is to say, a work containing the Program or a portion of it,either verbatim or with modifications and/or translated into anotherlanguage.  (Hereinafter, translation is included without limitation inthe term "modification".)  Each licensee is addressed as "you".Activities other than copying, distribution and modification are notcovered by this License; they are outside its scope.  The act ofrunning the Program is not restricted, and the output from the Programis covered only if its contents constitute a work based on theProgram (independent of having been made by running the Program).Whether that is true depends on what the Program does.  1. You may copy and distribute verbatim copies of the Program'ssource code as you receive it, in any medium, provided that youconspicuously and appropriately publish on each copy an appropriatecopyright notice and disclaimer of warranty; keep intact all thenotices that refer to this License and to the absence of any warranty;and give any other recipients of the Program a copy of this Licensealong with the Program.You may charge a fee for the physical act of transferring a copy, andyou may at your option offer warranty protection in exchange for a fee.  2. 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