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Diff for /OpenXM_contrib2/asir2000/lib/fff between version 1.1.1.1 and 1.6

version 1.1.1.1, 1999/12/03 07:39:11 version 1.6, 2001/09/03 07:01:09
Line 1 
Line 1 
 /* $OpenXM: OpenXM/src/asir99/lib/fff,v 1.1.1.1 1999/11/10 08:12:31 noro Exp $ */  
 /*  /*
    * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
    * All rights reserved.
    *
    * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
    * non-exclusive and royalty-free license to use, copy, modify and
    * redistribute, solely for non-commercial and non-profit purposes, the
    * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
    * conditions of this Agreement. For the avoidance of doubt, you acquire
    * only a limited right to use the SOFTWARE hereunder, and FLL or any
    * third party developer retains all rights, including but not limited to
    * copyrights, in and to the SOFTWARE.
    *
    * (1) FLL does not grant you a license in any way for commercial
    * purposes. You may use the SOFTWARE only for non-commercial and
    * non-profit purposes only, such as academic, research and internal
    * business use.
    * (2) The SOFTWARE is protected by the Copyright Law of Japan and
    * international copyright treaties. If you make copies of the SOFTWARE,
    * with or without modification, as permitted hereunder, you shall affix
    * to all such copies of the SOFTWARE the above copyright notice.
    * (3) An explicit reference to this SOFTWARE and its copyright owner
    * shall be made on your publication or presentation in any form of the
    * results obtained by use of the SOFTWARE.
    * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
    * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
    * for such modification or the source code of the modified part of the
    * SOFTWARE.
    *
    * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
    * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
    * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
    * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
    * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
    * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
    * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
    * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
    * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
    * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
    * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
    * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
    * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
    * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
    * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
    * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
    * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
    *
    * $OpenXM: OpenXM_contrib2/asir2000/lib/fff,v 1.5 2001/05/09 01:41:42 noro Exp $
   */
   /*
         fff : Univariate factorizer over a finite field.          fff : Univariate factorizer over a finite field.
   
     Revision History:      Revision History:
Line 64  def sqfr_ff(F)
Line 112  def sqfr_ff(F)
                 F2 = ugcd(F,F1);                  F2 = ugcd(F,F1);
                 /* FLAT = H/gcd(H,H') : square free part of H */                  /* FLAT = H/gcd(H,H') : square free part of H */
                 FLAT = sdiv(F,F2);                  FLAT = sdiv(F,F2);
                   FLAT /= LCOEF(FLAT);
                 I = 0;                  I = 0;
                 /* square free factorization of H */                  /* square free factorization of H */
                 while ( deg(FLAT,V) ) {                  while ( deg(FLAT,V) ) {
Line 78  def sqfr_ff(F)
Line 127  def sqfr_ff(F)
                                 FLAT1 = simp_ff(1);                                  FLAT1 = simp_ff(1);
                         else                          else
                                 FLAT1 = ugcd(F,FLAT);                                  FLAT1 = ugcd(F,FLAT);
                           FLAT1 /= LCOEF(FLAT1);
                         G = sdiv(FLAT,FLAT1);                          G = sdiv(FLAT,FLAT1);
                         FLAT = FLAT1;                          FLAT = FLAT1;
                         L = cons([G,I],L);                          L = cons([G,I],L);
Line 419  def lnf_insert(P,L,V)
Line 469  def lnf_insert(P,L,V)
 def c_z_ff(F,E)  def c_z_ff(F,E)
 {  {
         Type = field_type_ff();          Type = field_type_ff();
         if ( Type == 1 || Type == 3 )          if ( Type == 1 || Type == 3 || Type == 4 || Type == 5 )
                 return c_z_lm(F,E);                  return c_z_lm(F,E);
         else          else
                 return c_z_gf2n(F,E);                  return c_z_gf2n(F,E);
Line 450  def find_root_ff(P)
Line 500  def find_root_ff(P)
 def c_z_one_ff(F,E)  def c_z_one_ff(F,E)
 {  {
         Type = field_type_ff();          Type = field_type_ff();
         if ( Type == 1 || Type == 3 )          if ( Type == 1 || Type == 3 || Type == 4 || Type == 5 )
                 return c_z_one_lm(F,E);                  return c_z_one_lm(F,E);
         else          else
                 return c_z_one_gf2n(F,E);                  return c_z_one_gf2n(F,E);

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  Added in v.1.6

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