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Diff for /OpenXM_contrib2/asir2000/lib/bfct between version 1.18 and 1.19

version 1.18, 2002/01/28 02:42:27 version 1.19, 2002/01/29 02:03:41
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  * 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/bfct,v 1.17 2002/01/28 01:02:03 noro Exp $   * $OpenXM: OpenXM_contrib2/asir2000/lib/bfct,v 1.18 2002/01/28 02:42:27 noro Exp $
  */   */
 /* requires 'primdec' */  /* requires 'primdec' */
   
Line 485  def bfct_via_gbfct_weight_1(F,V)
Line 485  def bfct_via_gbfct_weight_1(F,V)
         W = newvect(N+1);          W = newvect(N+1);
         W[N] = 1;          W[N] = 1;
         R = generic_bfct(B,V1,DV1,W);          R = generic_bfct(B,V1,DV1,W);
           dp_set_weight(0);
           return subst(R,s,-s-1);
   }
   
   def bfct_via_gbfct_weight_2(F,V)
   {
           N = length(V);
           D = newvect(N);
           Wt = getopt(weight);
           if ( type(Wt) != 4 ) {
                   for ( I = 0, Wt = []; I < N; I++ )
                           Wt = cons(1,Wt);
           }
           Tdeg = w_tdeg(F,V,Wt);
   
           /* a weight for the first GB computation */
           /* [t,x1,...,xn,dt,dx1,...,dxn,h] */
           WtV = newvect(2*(N+1)+1);
           WtV[0] = Tdeg;
           WtV[N+1] = 1;
           WtV[2*(N+1)] = 1;
           /* wdeg(V[I])=Wt[I], wdeg(DV[I])=Tdeg-Wt[I]+1 */
           for ( I = 1; I <= N; I++ ) {
                   WtV[I] = Wt[I-1];
                   WtV[N+1+I] = Tdeg-Wt[I-1]+1;
           }
           dp_set_weight(WtV);
   
           /* a weight for the second GB computation */
           /* [x1,...,xn,t,dx1,...,dxn,dt,h] */
           WtV2 = newvect(2*(N+1)+1);
           WtV2[N] = Tdeg;
           WtV2[2*N+1] = 1;
           WtV2[2*(N+1)] = 1;
           for ( I = 0; I < N; I++ ) {
                   WtV2[I] = Wt[I];
                   WtV2[N+1+I] = Tdeg-Wt[I]+1;
           }
   
           for ( I = N-1, DV = []; I >= 0; I-- )
                   DV = cons(strtov("d"+rtostr(V[I])),DV);
   
           B = [t-F];
           for ( I = 0; I < N; I++ ) {
                   B = cons(DV[I]+diff(F,V[I])*dt,B);
           }
           V1 = cons(t,V); DV1 = cons(dt,DV);
           V2 = append(V,[t]); DV2 = append(DV,[dt]);
           W = newvect(N+1,[1]);
           dp_weyl_set_weight(W);
   
           VDV = append(V1,DV1);
           N1 = length(V1);
           N2 = N1*2;
   
           /* create a non-term order MW in D<x,d> */
           MW = newmat(N2+1,N2);
           for ( J = 0; J < N1; J++ ) {
                   MW[0][J] = -W[J]; MW[0][N1+J] = W[J];
           }
           for ( J = 0; J < N2; J++ ) MW[1][J] = 1;
           for ( I = 2; I <= N2; I++ ) MW[I][N2-I+1] = -1;
   
           /* homogenize F */
           VDVH = append(VDV,[h]);
           FH = map(dp_dtop,map(dp_homo,map(dp_ptod,B,VDV)),VDVH);
   
           /* compute a groebner basis of FH w.r.t. MWH */
           GH = dp_weyl_gr_main(FH,VDVH,0,1,11);
   
           /* dehomigenize GH */
           G = map(subst,GH,h,1);
   
           /* G is a groebner basis w.r.t. a non term order MW */
           /* take the initial part w.r.t. (-W,W) */
           GIN = map(initial_part,G,VDV,MW,W);
   
           /* GIN is a groebner basis w.r.t. a term order M */
           /* As -W+W=0, gr_(-W,W)(D<x,d>) = D<x,d> */
   
           /* find b(W1*x1*d1+...+WN*xN*dN) in Id(GIN) */
           for ( I = 0, T = 0; I < N1; I++ )
                   T += W[I]*V1[I]*DV1[I];
   
           /* change of ordering from VDV to VDV2 */
           VDV2 = append(V2,DV2);
           dp_set_weight(WtV2);
           GIN2 = dp_weyl_gr_main(GIN,VDV2,0,-1,0);
   
           R = weyl_minipoly(GIN2,VDV2,0,T); /* M represents DRL order */
         dp_set_weight(0);          dp_set_weight(0);
         return subst(R,s,-s-1);          return subst(R,s,-s-1);
 }  }
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