===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/dp-supp.c,v
retrieving revision 1.41
retrieving revision 1.46
diff -u -p -r1.41 -r1.46
--- OpenXM_contrib2/asir2000/builtin/dp-supp.c	2007/08/21 23:53:00	1.41
+++ OpenXM_contrib2/asir2000/builtin/dp-supp.c	2007/09/19 05:42:59	1.46
@@ -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/dp-supp.c,v 1.40 2006/12/12 11:50:37 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.45 2007/09/16 09:08:25 noro Exp $ 
 */
 #include "ca.h"
 #include "base.h"
@@ -71,6 +71,30 @@ void print_composite_order_spec(struct order_spec *spe
  *
  */
 
+static NODE RatDenomList;
+
+void init_denomlist()
+{
+	RatDenomList = 0;
+}
+
+void add_denomlist(P f)
+{
+	NODE n;
+
+	if ( OID(f)==O_P ) {
+		MKNODE(n,f,RatDenomList); RatDenomList = n;
+	}
+}
+
+LIST get_denomlist()
+{
+	LIST l;
+
+	MKLIST(l,RatDenomList); RatDenomList = 0;
+	return l;
+}
+
 void dp_ptozp(DP p,DP *rp)
 {
 	MP m,mr,mr0;
@@ -448,6 +472,7 @@ void dp_prim(DP p,DP *rp)
 	P *w;
 	Q *c;
 	Q dvr;
+	NODE tn;
 
 	if ( !p )
 		*rp = 0;
@@ -502,6 +527,7 @@ void dp_prim(DP p,DP *rp)
 				NEXTMP(mr0,mr); divsp(CO,m->c,g,&mr->c); mr->dl = m->dl;
 			}
 			NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar;
+			add_denomlist(g);
 		}
 	}
 }
@@ -805,6 +831,7 @@ void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp
 	} else {
 		ezgcdpz(CO,(P)c1,(P)c2,&g);
 		divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a;
+		add_denomlist(g);
 	}
 	NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td;
 	*multp = s;
@@ -860,6 +887,34 @@ void dp_red_marked(DP p0,DP p1,DP p2,DP hp2,DP *head,D
 	*head = h; *rest = r; *dnp = (P)c2;
 }
 
+void dp_red_marked_mod(DP p0,DP p1,DP p2,DP hp2,int mod,DP *head,DP *rest,P *dnp)
+{
+	int i,n;
+	DL d1,d2,d;
+	MP m;
+	DP t,s,r,h;
+	P c1,c2,g,u;
+
+	n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(hp2)->dl;
+	NEWDL(d,n); d->td = d1->td - d2->td;
+	for ( i = 0; i < n; i++ )
+		d->d[i] = d1->d[i]-d2->d[i];
+	c1 = (P)BDY(p1)->c; c2 = (P)BDY(hp2)->c;
+	gcdprsmp(CO,mod,c1,c2,&g);
+	divsmp(CO,mod,c1,g,&u); c1 = u; divsmp(CO,mod,c2,g,&u); c2 = u;
+	if ( NUM(c2) ) {
+		divsmp(CO,mod,c1,c2,&u); c1 = u; c2 = (P)ONEM;
+	}
+	NEWMP(m); m->dl = d; chsgnmp(mod,(P)c1,&m->c); NEXT(m) = 0;
+	MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,s,p2,&t);
+	if ( NUM(c2) ) {
+		addmd(CO,mod,p1,t,&r); h = p0;
+	} else {
+		mulmdc(CO,mod,p1,c2,&s); addmd(CO,mod,s,t,&r); mulmdc(CO,mod,p0,c2,&h);
+	}
+	*head = h; *rest = r; *dnp = c2;
+}
+
 /* m-reduction over a field */
 
 void dp_red_f(DP p1,DP p2,DP *rest)
@@ -1008,18 +1063,72 @@ void dp_true_nf(NODE b,DP g,DP *ps,int full,DP *rp,P *
 	*rp = d; *dnp = dn;
 }
 
+void dp_removecont2(DP p1,DP p2,DP *r1p,DP *r2p,Q *contp)
+{
+	struct oVECT v;
+	int i,n1,n2,n;
+	MP m,m0,t;
+	Q *w;
+	Q h;
+
+	if ( p1 ) {
+		for ( i = 0, m = BDY(p1); m; m = NEXT(m), i++ );
+		n1 = i;
+	} else
+		n1 = 0;
+	if ( p2 ) {
+		for ( i = 0, m = BDY(p2); m; m = NEXT(m), i++ );
+		n2 = i;
+	} else
+		n2 = 0;
+	n = n1+n2;
+	if ( !n ) {
+		*r1p = 0; *r2p = 0; *contp = ONE; return;
+	}
+	w = (Q *)ALLOCA(n*sizeof(Q));
+	v.len = n;
+	v.body = (pointer *)w;
+	i = 0;
+	if ( p1 )
+		for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = (Q)m->c;
+	if ( p2 )
+		for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = (Q)m->c;
+	h = w[0]; removecont_array((P *)w,n,1); divq(h,w[0],contp);
+	i = 0;
+	if ( p1 ) {
+		for ( m0 = 0, t = BDY(p1); i < n1; i++, t = NEXT(t) ) {
+			NEXTMP(m0,m); m->c = (P)w[i]; m->dl = t->dl;
+		}
+		NEXT(m) = 0;
+		MKDP(p1->nv,m0,*r1p); (*r1p)->sugar = p1->sugar;
+	} else
+		*r1p = 0;
+	if ( p2 ) {
+		for ( m0 = 0, t = BDY(p2); i < n; i++, t = NEXT(t) ) {
+			NEXTMP(m0,m); m->c = (P)w[i]; m->dl = t->dl;
+		}
+		NEXT(m) = 0;
+		MKDP(p2->nv,m0,*r2p); (*r2p)->sugar = p2->sugar;
+	} else
+		*r2p = 0;
+}
+
 /* true nf by a marked GB */
 
-void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp)
+void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp)
 {
 	DP u,p,d,s,t,dmy,hp;
 	NODE l;
 	MP m,mr;
-	int i,n;
+	int i,n,hmag;
 	int *wb;
-	int sugar,psugar;
-	P dn,tdn,tdn1;
+	int sugar,psugar,multiple;
+	P nm,tnm1,dn,tdn,tdn1;
+	Q cont;
 
+	multiple = 0;
+	hmag = multiple*HMAG(g);
+	nm = (P)ONE;
 	dn = (P)ONE;
 	if ( !g ) {
 		*rp = 0; *dnp = dn; return;
@@ -1037,12 +1146,73 @@ void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *
 				psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar;
 				sugar = MAX(sugar,psugar);
 				if ( !u ) {
+					goto last;
+				} else {
+					d = t;
+					mulp(CO,dn,tdn,&tdn1); dn = tdn1;
+				}
+				break;
+			}
+		}
+		if ( u ) {
+			g = u;
+			if ( multiple && ((d && HMAG(d)>hmag) || (HMAG(g)>hmag)) ) {
+				dp_removecont2(d,g,&t,&u,&cont); d = t; g = u;
+				mulp(CO,nm,(P)cont,&tnm1); nm = tnm1;
+				if ( d )
+					hmag = multiple*HMAG(d);
+				else
+					hmag = multiple*HMAG(g);
+			}
+		} else {
+			m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c;
+			NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td;
+			addd(CO,d,t,&s); d = s;
+			dp_rest(g,&t); g = t;
+		}
+	}
+last:
+	if ( d ) {
+		dp_removecont2(d,0,&t,&u,&cont); d = t;
+		mulp(CO,nm,(P)cont,&tnm1); nm = tnm1;
+		d->sugar = sugar;
+	}
+	*rp = d; *nmp = nm; *dnp = dn;
+}
+
+void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp)
+{
+	DP hp,u,p,d,s,t;
+	NODE l;
+	MP m,mr;
+	int i,n;
+	int *wb;
+	int sugar,psugar;
+	P dn,tdn,tdn1;
+
+	dn = (P)ONEM;
+	if ( !g ) {
+		*rp = 0; *dnp = dn; return;
+	}
+	for ( n = 0, l = b; l; l = NEXT(l), n++ );
+		wb = (int *)ALLOCA(n*sizeof(int));
+	for ( i = 0, l = b; i < n; l = NEXT(l), i++ )
+		wb[i] = QTOS((Q)BDY(l));
+	sugar = g->sugar;
+	for ( d = 0; g; ) {
+		for ( u = 0, i = 0; i < n; i++ ) {
+			if ( dp_redble(g,hp = hps[wb[i]]) ) {
+				p = ps[wb[i]];
+				dp_red_marked_mod(d,g,p,hp,mod,&t,&u,&tdn);	
+				psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar;
+				sugar = MAX(sugar,psugar);
+				if ( !u ) {
 					if ( d )
 						d->sugar = sugar;
 					*rp = d; *dnp = dn; return;
 				} else {
 					d = t;
-					mulp(CO,dn,tdn,&tdn1); dn = tdn1;
+					mulmp(CO,mod,dn,tdn,&tdn1); dn = tdn1;
 				}
 				break;
 			}
@@ -1052,7 +1222,7 @@ void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *
 		else {
 			m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c;
 			NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td;
-			addd(CO,d,t,&s); d = s;
+			addmd(CO,mod,d,t,&s); d = s;
 			dp_rest(g,&t); g = t;
 		}
 	}
@@ -2446,4 +2616,186 @@ int dpv_ht(DPV p,DP *h)
 		MKDP(e[maxi]->nv,mr,*h); (*h)->sugar = mr->dl->td;  /* XXX */
 		return maxi;
 	}
+}
+
+/* return 1 if 0 <_w1 v && v <_w2 0 */
+
+int in_c12(int n,int *v,int row1,int **w1,int row2, int **w2)
+{
+	int t1,t2;
+
+	t1 = compare_zero(n,v,row1,w1);
+	t2 = compare_zero(n,v,row2,w2);
+	if ( t1 > 0 && t2 < 0 ) return 1;
+	else return 0;
+}
+
+/* 0 < u => 1, 0 > u => -1 */
+
+int compare_zero(int n,int *u,int row,int **w)
+{
+	int i,j,t;
+	int *wi;
+
+	for ( i = 0; i < row; i++ ) {
+		wi = w[i];
+		for ( j = 0, t = 0; j < n; j++ ) t += u[j]*wi[j];
+		if ( t > 0 ) return 1;
+		else if ( t < 0 ) return -1;
+	}
+	return 0;
+}
+
+/* functions for generic groebner walk */
+/* u=0 means u=-infty */
+
+int compare_facet_preorder(int n,int *u,int *v,
+	int row1,int **w1,int row2,int **w2)
+{
+	int i,j,s,t,tu,tv;
+	int *w2i,*uv;
+
+	if ( !u ) return 1;
+	uv = W_ALLOC(n);
+	for ( i = 0; i < row2; i++ ) {
+		w2i = w2[i];
+		for ( j = 0, tu = tv = 0; j < n; j++ )
+			if ( s = w2i[j] ) {
+				tu += s*u[j]; tv += s*v[j];
+			}
+		for ( j = 0; j < n; j++ ) uv[j] = u[j]*tv-v[j]*tu;
+		t = compare_zero(n,uv,row1,w1);
+		if ( t > 0 ) return 1;
+		else if ( t < 0 ) return 0;
+	}
+	return 1;
+}
+
+/* return 0 if last_w = infty */
+
+NODE compute_last_w(NODE g,NODE gh,int n,int **w,
+	int row1,int **w1,int row2,int **w2)
+{
+	DP d;
+	MP f,m0,m;
+	int *wt,*v,*h;
+	NODE t,s,n0,tn,n1,r0,r;
+	int i;
+
+	wt = W_ALLOC(n);
+	n0 = 0;
+	for ( t = g, s = gh; t; t = NEXT(t), s = NEXT(s) ) {
+		f = BDY((DP)BDY(t));
+		h = BDY((DP)BDY(s))->dl->d;
+		for ( ; f; f = NEXT(f) ) {
+			for ( i = 0; i < n; i++ ) wt[i] = h[i]-f->dl->d[i];
+			for ( i = 0; i < n && !wt[i]; i++ );
+			if ( i == n ) continue;
+
+			if ( in_c12(n,wt,row1,w1,row2,w2) && 
+				compare_facet_preorder(n,*w,wt,row1,w1,row2,w2) ) {
+				v = (int *)MALLOC_ATOMIC(n*sizeof(int));
+				for ( i = 0; i < n; i++ ) v[i] = wt[i];
+				MKNODE(n1,v,n0); n0 = n1;
+			}
+		}
+	}
+	if ( !n0 ) return 0;
+	for ( t = n0; t; t = NEXT(t) ) {
+		v = (int *)BDY(t);
+		for ( s = n0; s; s = NEXT(s) )
+			if ( !compare_facet_preorder(n,v,(int *)BDY(s),row1,w1,row2,w2) )
+				break;
+		if ( !s ) {
+			*w = v;
+			break;
+		}
+	}
+	if ( !t )
+		error("compute_last_w : cannot happen");
+	r0 = 0;
+	for ( t = g, s = gh; t; t = NEXT(t), s = NEXT(s) ) {
+		f = BDY((DP)BDY(t));
+		h = BDY((DP)BDY(s))->dl->d;
+		for ( m0 = 0; f; f = NEXT(f) ) {
+			for ( i = 0; i < n; i++ ) wt[i] = h[i]-f->dl->d[i];
+			for ( i = 0; i < n && !wt[i]; i++ );
+			if ( i == n  ||
+				(compare_facet_preorder(n,wt,*w,row1,w1,row2,w2)
+				&& compare_facet_preorder(n,*w,wt,row1,w1,row2,w2)) ) {
+				NEXTMP(m0,m); m->c = f->c; m->dl = f->dl;
+			}
+		}
+		NEXT(m) = 0;
+		MKDP(((DP)BDY(t))->nv,m0,d);  d->sugar = ((DP)BDY(t))->sugar;
+		NEXTNODE(r0,r); BDY(r) = (pointer)d;
+	}
+	NEXT(r) = 0;
+	return r0;
+}
+
+/* compute a sufficient set of d(f)=u-v */
+
+NODE compute_essential_df(DP *g,DP *gh,int ng)
+{
+	int nv,i,j,k,t,lj;
+	NODE r,r1,ri,rt,r0;
+	MP m;
+	MP *mj;
+	DL di,hj,dl,dlt;
+	int *d,*dt;
+	LIST l;
+	Q q;
+
+	nv = g[0]->nv;
+	r = 0;
+	for ( j = 0; j < ng; j++ ) {
+		for ( m = BDY(g[j]), lj = 0; m; m = NEXT(m), lj++ );
+		mj = (MP *)ALLOCA(lj*sizeof(MP));
+		for ( m = BDY(g[j]), k = 0; m; m = NEXT(m), k++ )
+			mj[k] = m;
+		for ( i = 0; i < lj; i++ ) {
+			for ( di = mj[i]->dl, k = i+1; k < lj; k++ )
+				if ( _dl_redble(di,mj[k]->dl,nv) ) break;
+			if ( k < lj ) mj[i] = 0;
+		}
+		hj = BDY(gh[j])->dl;
+		_NEWDL(dl,nv); d = dl->d;
+		r0 = r;
+		for ( i = 0; i < lj; i++ ) {
+			if ( mj[i] && !dl_equal(nv,di=mj[i]->dl,hj) ) {
+				for ( k = 0, t = 0; k < nv; k++ ) {
+					d[k] = hj->d[k]-di->d[k];
+					t += d[k];
+				}
+				dl->td = t;	
+#if 1
+				for ( rt = r0; rt; rt = NEXT(rt) ) {
+					dlt = (DL)BDY(rt);
+					if ( dlt->td != dl->td ) continue;
+					for ( dt = dlt->d, k = 0; k < nv; k++ )
+						if ( d[k] != dt[k] ) break;
+					if ( k == nv ) break;
+				}
+#else
+				rt = 0;
+#endif
+				if ( !rt ) {
+					MKNODE(r1,dl,r); r = r1;
+					_NEWDL(dl,nv); d = dl->d;
+				}
+			}
+		}
+	}
+	for ( rt = r; rt; rt = NEXT(rt) ) {
+		dl = (DL)BDY(rt); d = dl->d;
+		ri = 0;
+		for ( k = nv-1; k >= 0; k-- ) {
+			STOQ(d[k],q);
+			MKNODE(r1,q,ri); ri = r1;
+		}
+		MKNODE(r1,0,ri); MKLIST(l,r1);
+		BDY(rt) = (pointer)l;
+	}
+	return r;
 }