=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/gf.c,v retrieving revision 1.4 retrieving revision 1.11 diff -u -p -r1.4 -r1.11 --- OpenXM_contrib2/asir2000/builtin/gf.c 2000/08/22 05:03:57 1.4 +++ OpenXM_contrib2/asir2000/builtin/gf.c 2001/08/02 03:59:15 1.11 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/builtin/gf.c,v 1.3 2000/08/21 08:31:19 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/builtin/gf.c,v 1.10 2001/07/03 01:41:25 noro Exp $ */ #include "ca.h" #include "parse.h" @@ -66,6 +66,7 @@ void nullspace(UM **,UM,int,int,int *); void nullspace_lm(LM **,int,int *); void nullspace_gf2n(GF2N **,int,int *); void nullspace_gfpn(GFPN **,int,int *); +void nullspace_gfs(GFS **,int,int *); void null_to_sol(int **,int *,int,int,UM *); void showgfmat(UM **,int); @@ -73,6 +74,7 @@ void pwr_mod(P,P,V,P,int,N,P *); void rem_mod(P,P,V,P,int,P *); void Pnullspace(),Pgcda_mod(),Pftest(),Presfmain(),Ppwr_mod(),Puhensel(); +void Psfuhensel(); void Pnullspace_ff(); @@ -82,6 +84,7 @@ void Plinear_form_to_vect(),Pvect_to_linear_form(); void solve_linear_equation_gf2n(GF2N **,int,int,int *); void linear_form_to_array(P,VL,int,Num *); void array_to_linear_form(Num *,VL,int,P *); +void sfuhensel(P,NODE,GFS,int,NODE *); extern int current_ff; @@ -94,6 +97,7 @@ struct ftab gf_tab[] = { {"resfmain",Presfmain,4}, {"pwr_mod",Ppwr_mod,6}, {"uhensel",Puhensel,4}, + {"sfuhensel",Psfuhensel,4}, {0,0,0}, }; @@ -178,6 +182,96 @@ NODE *rp; *rp = top; } +void Psfuhensel(arg,rp) +NODE arg; +LIST *rp; +{ + P f; + int bound; + NODE r,mfl; + GFS ev; + + f = (P)ARG0(arg); + mfl = BDY((LIST)ARG1(arg)); + ev = (GFS)ARG2(arg); + bound = QTOS((Q)ARG3(arg)); + sfuhensel(f,mfl,ev,bound,&r); + MKLIST(*rp,r); +} + +void sfuhensel(f,mfl,ev,bound,rp) +P f; +NODE mfl; +GFS ev; +int bound; +NODE *rp; +{ + BM fl; + BM *r; + VL vl,nvl; + int i,fn,dx,dy; + NODE t,top; + UM fm,hm,q; + UM *gm; + V x,y; + P g,s,u; + + clctv(CO,f,&vl); + if ( !vl || !vl->next || vl->next->next ) + error("sfuhensel : f must be a bivariate poly"); + + for ( i = 0, t = mfl; t; i++, t = NEXT(t) ); + fn = i; + + gm = (UM *)MALLOC(fn*sizeof(UM)); + + /* XXX : more severe check is necessary */ + x = VR((P)BDY(mfl)); + y = vl->v == x ? vl->next->v : vl->v; + + for ( i = 0, t = mfl; i < fn; i++, t = NEXT(t) ) { + gm[i] = (pointer)UMALLOC(getdeg(x,(P)BDY(t))); + ptosfum((P)BDY(t),gm[i]); + } + + /* reorder f if necessary */ + if ( vl->v != x ) { + reordvar(vl,x,&nvl); reorderp(nvl,vl,f,&g); + vl = nvl; f = g; + } + dx = getdeg(x,f); + dy = getdeg(y,f); + dy = MAX(dy,bound); + fl = BMALLOC(dx,dy); + ptosfbm(dy,f,fl); + if ( ev ) shiftsfbm(fl,FTOIF(CONT(ev))); + + /* fm = fl mod y */ + fm = W_UMALLOC(dx); + cpyum(COEF(fl)[0],fm); + hm = W_UMALLOC(dx); + + q = W_UMALLOC(dx); + r = (BM *)MLALLOC(fn*sizeof(BM)); + for ( i = 0; i < fn-1; i++ ) { + /* fl = gm[i]*hm mod y */ + divsfum(fm,gm[i],hm); + /* fl is replaced by the cofactor of gk mod y^bound */ + /* r[i] = gk */ + sfhenmain2(fl,gm[i],hm,bound,r+i); + cpyum(hm,fm); + } + /* finally, fl must be the lift of gm[fn-1] */ + r[i] = fl; + + for ( i = fn-1, top = 0; i >= 0; i-- ) { + sfbmtop(r[i],x,y,&s); + reorderp(CO,vl,s,&u); + MKNODE(t,u,top); top = t; + } + *rp = top; +} + void Presfmain(arg,rp) NODE arg; LIST *rp; @@ -809,6 +903,8 @@ LIST *rp; nullspace_gf2n((GF2N **)w,n,ind); break; case FF_GFPN: nullspace_gfpn((GFPN **)w,n,ind); break; + case FF_GFS: + nullspace_gfs((GFS **)w,n,ind); break; default: error("nullspace_ff : current_ff is not set"); } @@ -947,6 +1043,49 @@ int *ind; } } } + +void nullspace_gfs(mat,n,ind) +GFS **mat; +int n; +int *ind; +{ + int i,j,l,s; + GFS w,w1,h,inv; + GFS *t,*u; + GFS one; + + bzero(ind,n*sizeof(int)); + ind[0] = 0; + mqtogfs(ONEM,&one); + + for ( i = j = 0; j < n; i++, j++ ) { + for ( ; j < n; j++ ) { + for ( l = i; l < n; l++ ) + if ( mat[l][j] ) + break; + if ( l < n ) { + t = mat[i]; mat[i] = mat[l]; mat[l] = t; break; + } else + ind[j] = 1; + } + if ( j == n ) + break; + divgfs(one,mat[i][j],&inv); + for ( s = j, t = mat[i]; s < n; s++ ) { + mulgfs(t[s],inv,&w); t[s] = w; + } + for ( l = 0; l < n; l++ ) { + if ( l == i ) + continue; + u = mat[l]; + chsgngfs(u[j],&h); + for ( s = j; s < n; s++ ) { + mulgfs(h,t[s],&w); addgfs(w,u[s],&w1); u[s] = w1; + } + } + } +} + /* p = a(0)vl[0]+a(1)vl[1]+...+a(m-1)vl[m-1]+a(m) -> array = [a(0) a(1) ... a(m)] */ void linear_form_to_array(p,vl,m,array)