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Diff for /OpenXM_contrib2/asir2000/lib/sp between version 1.10 and 1.15

version 1.10, 2002/06/21 00:34:21 version 1.15, 2006/06/23 08:57:47
Line 45 
Line 45 
  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,   * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.   * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
  *   *
  * $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.9 2001/10/12 06:07:05 noro Exp $   * $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.14 2005/08/18 23:35:20 noro Exp $
 */  */
 /*  /*
         sp : functions related to algebraic number fields          sp : functions related to algebraic number fields
Line 63  extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$
Line 63  extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$
 extern Ord$  extern Ord$
 extern USE_PARI_FACTOR$  extern USE_PARI_FACTOR$
   
   /* gen_sp can handle non-monic poly */
   
   def gen_sp(P)
   {
           P = ptozp(P);
           V = var(P);
           D = deg(P,V);
           LC = coef(P,D,V);
           F = LC^(D-1)*subst(P,V,V/LC);
           /* F must be monic */
           L = sp(F);
           return cons(map(subst,car(L),V,LC*V),cdr(L));
   }
   
 def sp(P)  def sp(P)
 {  {
         RESTIME=UFTIME=GCDTIME=SQTIME=0;          RESTIME=UFTIME=GCDTIME=SQTIME=0;
Line 645  def ufctrhint2(P,HINT,PP,AL)
Line 659  def ufctrhint2(P,HINT,PP,AL)
                 return [[P,1]];                  return [[P,1]];
         if ( AL == [] )          if ( AL == [] )
                 return ufctrhint(P,HINT);                  return ufctrhint(P,HINT);
   
           /* if P != norm(PP) then call the generic ufctrhint() */
           for ( T = AL, E = 1; T != []; T = cdr(T) ) {
                   D = defpoly(car(T)); E *= deg(D,var(D));
           }
           if ( E*deg(PP,var(PP)) != deg(P,var(P)) )
                   return ufctrhint(P,HINT);
   
           /* P = norm(PP) */
         L = resfctr(algptorat(PP),map(defpoly,AL),map(algtorat,AL),P);          L = resfctr(algptorat(PP),map(defpoly,AL),map(algtorat,AL),P);
         for ( T = reverse(L[1]), DL = []; T != []; T = cdr(T) )          for ( T = reverse(L[1]), DL = []; T != []; T = cdr(T) )
                 DL = cons(deg(car(car(T)),a_),DL);                  DL = cons(deg(car(car(T)),a_),DL);
Line 789  def norm_ch_lag(V,VM,P,P0) {
Line 812  def norm_ch_lag(V,VM,P,P0) {
   
 def cr_gcda(P1,P2)  def cr_gcda(P1,P2)
 {  {
         if ( !(V = var(P1)) || !var(P2) )          if ( !P1 )
                   return P2;
           if ( !P2 )
                   return P1;
           if ( !var(P1) || !var(P2) )
                 return 1;                  return 1;
           V = var(P1);
         EXT = union_sort(getalgtreep(P1),getalgtreep(P2));          EXT = union_sort(getalgtreep(P1),getalgtreep(P2));
         if ( EXT == [] )          if ( EXT == [] )
                 return gcd(P1,P2);                  return gcd(P1,P2);
Line 1356  def resfctr_mod(F,L,M)
Line 1384  def resfctr_mod(F,L,M)
                 C = res(var(MP),B,MP) % M;                  C = res(var(MP),B,MP) % M;
                 R = cons(flatten(cdr(modfctr(C,M))),R);                  R = cons(flatten(cdr(modfctr(C,M))),R);
         }          }
         return R;          return reverse(R);
 }  }
   
 def flatten(L)  def flatten(L)
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