cfNTLzzpEXGCD.h

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/*****************************************************************************\
 * Computer Algebra System SINGULAR
\*****************************************************************************/
/** @file cfNTLzzpEXGCD.h
 *
 * This file defines functions for univariate GCD and extended GCD
 * over Z/p[t]/(f)[x] for reducible f
 *
 * @note the following code is slightly modified code out of
 * lzz_pEX.h from Victor Shoup's NTL. Below is NTL's copyright notice.
 *
 * ABSTRACT: Langemyr, McCallum "The Computation of Polynomial Greatest Common
 * Divisors over an algebraic number fields"
 *
 * @author Martin Lee
 *
 
 
                  COPYRIGHT NOTICE
                    for NTL 5.5
          (modified for Singular 2-0-6 - 3-1)
 
NTL -- A Library for Doing Number Theory
Copyright (C) 1996-2009  Victor Shoup
 
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originally developed by Keith Briggs, and also licensed unger the GNU GPL.
The files quad_float.c and quad_float.h contain more detailed copyright
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Note that the traditional long integer package used by NTL, lip.c, is derived
from---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
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this package now is covered by the GNU GPL as well.
 
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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
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The hope is that the GNU GPL is actually less restrictive than these
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versions prior to 4.0 may continue to be used under the old terms,
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**/
 
 
#ifndef CF_NTL_ZZ_PEX_GCD_H
#define CF_NTL_ZZ_PEX_GCD_H
 
// #include "config.h"
 
#ifdef HAVE_NTL
#include "NTLconvert.h"
#endif
 
#ifdef HAVE_NTL
/// compute the GCD x of a and b, fail is set to true if a zero divisor is
/// encountered
void tryNTLGCD(zz_pEX& x,      ///<[in,out] GCD of a and b
               const zz_pEX& a,///<[in]     s.a.
               const zz_pEX& b,///<[in]     s.a.
               bool& fail      ///<[in,out] s.a.
              );
 
/// compute the extended GCD d=s*a+t*b, fail is set to true if a zero divisor is
/// encountered
void tryNTLXGCD(zz_pEX& d,      ///<[in,out] GCD of a and b
                zz_pEX& s,      ///<[in,out] s. a.
                zz_pEX& t,      ///<[in,out] s. a.
                const zz_pEX& a,///<[in]     s. a.
                const zz_pEX& b,///<[in]     s. a.
                bool& fail      ///<[in,out] s. a.
               );
#endif
 
#endif