=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2018/builtin/dp.c,v retrieving revision 1.30 retrieving revision 1.31 diff -u -p -r1.30 -r1.31 --- OpenXM_contrib2/asir2018/builtin/dp.c 2021/03/10 06:36:20 1.30 +++ OpenXM_contrib2/asir2018/builtin/dp.c 2021/12/05 22:41:03 1.31 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2018/builtin/dp.c,v 1.29 2021/02/28 02:33:15 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2018/builtin/dp.c,v 1.30 2021/03/10 06:36:20 noro Exp $ */ #include "ca.h" #include "base.h" @@ -521,6 +521,69 @@ void mhp_rec(VECT b,VECT x,P t,P *r) // get_eg(&eg1); add_eg(&eg_comp,&eg0,&eg1); } +P mhp_rec_weight(VECT b,VECT x,P t,int *w) +{ + int n,i,j,k,l,i2,nv,len,td; + int *d; + Z wj; + P twj,tmp,tmp2,ret,qadd,qcolon; + DL *p,*q; + DL pi,xj,d1; + VECT c; + + i_all++; + n = b->len; nv = x->len; p = (DL *)BDY(b); + if ( !n ) { + // I=<0> => HP(t)=1/(1-t^w1)...(1-t^wn) => Q(t)=1 + return (P)ONE; + } + if ( n == 1 && p[0]->td == 0 ) { + // I=<1> => HP(t)=0 => Q(t)=0 + return 0; + } + for ( i = 0; i < n; i++ ) { + d = p[i]->d; + for ( td = 0, j = 0; j < nv; j++ ) td += d[j]; + if (td > 1 ) break; + } + if ( i == n ) { + // I= => Q(t)=(1-t^wi1)...(1-t^win) + for ( ret = (P)ONE, i = 0; i < n; i++ ) { + d = p[i]->d; + for ( j = 0; j < nv; j++ ) if ( d[j] ) break; + STOZ(w[j],wj); pwrp(CO,t,wj,&tmp); + subp(CO,(P)ONE,tmp,&tmp2); mulp(CO,ret,tmp2,&tmp); ret = tmp; + } + return ret; + } + for ( j = 0, d = p[i]->d; j < nv; j++ ) + if ( d[j] ) break; + xj = BDY(x)[j]; + MKVECT(c,n); q = (DL *)BDY(c); + for ( i = k = l = 0; i < n; i++ ) + if ( p[i]->d[j] ) { + pi = p[i]; + NEWDL(d1,nv); d1->td =pi->td - 1; + memcpy(d1->d,pi->d,nv*sizeof(int)); + d1->d[j]--; + p[k++] = d1; + } else + q[l++] = p[i]; + for ( i = k, i2 = 0; i2 < l; i++, i2++ ) + p[i] = q[i2]; + /* b=(b[0]/xj,...,b[k-1]/xj,b[k],...b[n-1]) where + b[0],...,b[k-1] are divisible by k */ + make_reduced2(b,k,nv); + qcolon = mhp_rec_weight(b,x,t,w); + /* c = (b[0],...,b[l-1],xj) */ + q[l] = xj; c->len = l+1; + qadd = mhp_rec_weight(c,x,t,w); + // Q(t)=Qadd+t^wj*Qcolon + STOZ(w[j],wj); pwrp(CO,t,wj,&twj); + mulp(CO,twj,qcolon,&tmp); addp(CO,qadd,tmp,&ret); + return ret; +} + /* (n+a)Cb as a polynomial of n; return (n+a)*...*(n+a-b+1) */ P binpoly(P n,int a,int b) @@ -636,10 +699,10 @@ P mhp_ctop(P *r,P *plist,int n) return hp; } -LIST dp_monomial_hilbert_poincare(VECT b,VECT x,P *plist) +LIST dp_monomial_hilbert_poincare(VECT b,VECT x) { int n; - P *r; + P *r,*plist; P tv; P hp,hpoly; VECT hfhead; @@ -649,9 +712,9 @@ LIST dp_monomial_hilbert_poincare(VECT b,VECT x,P *pli LIST list; n = x->len; + plist = mhp_prep(n,&tv); r = (P *)CALLOC(n+1,sizeof(P)); make_reduced(b,n); - makevar("t",&tv); mhp_rec(b,x,tv,r); hp = mhp_ctop(r,plist,n); mhp_to_hf(CO,hp,n,plist,&hfhead,&hpoly); @@ -662,27 +725,45 @@ LIST dp_monomial_hilbert_poincare(VECT b,VECT x,P *pli return list; } +LIST dp_monomial_hilbert_poincare_weight(VECT b,VECT x,int *w) +{ + int n,i; + NODE nd; + LIST list; + P tv,ret; + + n = x->len; + make_reduced(b,n); + makevar("t",&tv); + ret = mhp_rec_weight(b,x,tv,w); + nd = mknode(1,ret); + MKLIST(list,nd); + return list; +} + void Pdp_monomial_hilbert_poincare(NODE arg,LIST *rp) { LIST g,v; VL vl; - int m,n,i; + int m,n,i,wlen; VECT b,x,hfhead,prep; NODE t,nd; Z z,den; - P hp,tv,mt,t1,u,w,hpoly; + P hp,tv,mt,t1,u,hpoly; DP a; DL *p; - P *plist; - Obj val,ord; + Obj val,ord,weight; + int *w; struct order_spec *current_spec=0,*spec; + weight = 0; if ( current_option ) { if ( peek_option(current_option,"ord",&ord) ) { current_spec = dp_current_spec; create_order_spec(0,ord,&spec); initd(spec); } + peek_option(current_option,"weight",&weight); } i_simple = i_all = 0; g = (LIST)ARG0(arg); v = (LIST)ARG1(arg); @@ -699,8 +780,22 @@ void Pdp_monomial_hilbert_poincare(NODE arg,LIST *rp) for ( t = BDY(v), i = 0; t; t = NEXT(t), i++ ) { ptod(CO,vl,(P)BDY(t),&a); p[i] = BDY(a)->dl; } - plist = mhp_prep(n,&tv); - *rp = dp_monomial_hilbert_poincare(b,x,plist); + if ( weight ) { + wlen = length(BDY((LIST)weight)); + if ( n != wlen ) + error("dp_monomial_hilbert_poincare: inconsistent weight length"); + w = (int *)MALLOC(n*sizeof(int)); + for ( i = 0, nd = BDY((LIST)weight); i < n; i++, nd = NEXT(nd) ) + w[i] = ZTOS((Z)BDY(nd)); + } else if ( current_dl_weight_vector ) + w = current_dl_weight_vector; + else + w = 0; + if ( w ) { + *rp = dp_monomial_hilbert_poincare_weight(b,x,w); + } else { + *rp = dp_monomial_hilbert_poincare(b,x); + } if ( current_spec ) initd(current_spec); } @@ -746,7 +841,6 @@ void Pdp_monomial_hilbert_poincare_incremental(NODE ar g = BDY((LIST)ARG0(arg)); new = BDY((DP)ARG1(arg))->dl; data = BDY((LIST)ARG2(arg)); hn = (P)ARG0(data); n = ZTOS((Z)ARG1(data)); - plist = (P *)BDY((VECT)ARG4(data)); len = length(g); MKVECT(b,len); p = (DL *)BDY(b); for ( t = g, i = 0; t; t = NEXT(t), i++ ) p[i] = monomial_colon(BDY((DP)BDY(t))->dl,new,n); @@ -755,11 +849,12 @@ void Pdp_monomial_hilbert_poincare_incremental(NODE ar NEWDL(dl,n); dl->d[i] = 1; dl->td = 1; BDY(x)[i] = dl; } // compute HP(I:new) - list1 = dp_monomial_hilbert_poincare(b,x,plist); + list1 = dp_monomial_hilbert_poincare(b,x); data1 = BDY((LIST)list1); hn1 = (P)ARG0(data1); // HP(I+) = H(I)-t^d*H(I:new), d=tdeg(new) - makevar("t",&tv); UTOZ(new->td,dz); + plist = mhp_prep(n,&tv); + UTOZ(new->td,dz); pwrp(CO,tv,dz,&td); mulp(CO,hn1,td,&s); subp(CO,hn,s,&newhn);