===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v
retrieving revision 1.18
retrieving revision 1.29
diff -u -p -r1.18 -r1.29
--- OpenXM_contrib2/asir2000/engine/dist.c	2001/09/13 03:04:28	1.18
+++ OpenXM_contrib2/asir2000/engine/dist.c	2004/03/05 02:26:52	1.29
@@ -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/engine/dist.c,v 1.17 2001/09/04 08:48:20 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.28 2004/02/05 08:28:53 noro Exp $ 
 */
 #include "ca.h"
 
@@ -61,67 +61,68 @@
 #define ORD_ELIM 9
 #define ORD_WEYL_ELIM 10
 #define ORD_HOMO_WW_DRL 11
+#define ORD_DRL_ZIGZAG 12
+#define ORD_HOMO_WW_DRL_ZIGZAG 13
 
+int cmpdl_drl_zigzag(), cmpdl_homo_ww_drl_zigzag();
+
 int (*cmpdl)()=cmpdl_revgradlex;
 int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_gradlex,cmpdl_lex};
 
-void comm_muld(VL,DP,DP,DP *);
-void weyl_muld(VL,DP,DP,DP *);
-void weyl_muldm(VL,MP,DP,DP *);
-void weyl_mulmm(VL,MP,MP,int,struct cdl *,int);
-void comm_muld_tab(VL,int,struct cdl *,int,struct cdl *,int,struct cdl *);
-
-void mkwc(int,int,Q *);
-
-int cmpdl_weyl_elim();
-int cmpdl_homo_ww_drl();
-
 int do_weyl;
 
 int dp_nelim,dp_fcoeffs;
-struct order_spec dp_current_spec;
+struct order_spec *dp_current_spec;
 int *dp_dl_work;
 
-int has_fcoef(DP);
-int has_fcoef_p(P);
+void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
+void comm_quod(VL vl,DP p1,DP p2,DP *pr);
+void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr);
+void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr);
 
-int has_fcoef(f)
-DP f;
+void order_init()
 {
+	struct order_spec *spec;
+
+	create_order_spec(0,0,&spec);
+	initd(spec);
+}
+
+int has_sfcoef(DP f)
+{
 	MP t;
 
 	if ( !f )
 		return 0;
 	for ( t = BDY(f); t; t = NEXT(t) )
-		if ( has_fcoef_p(t->c) )
+		if ( has_sfcoef_p(t->c) )
 			break;
 	return t ? 1 : 0;
 }
 
-int has_fcoef_p(f)
-P f;
+int has_sfcoef_p(P f)
 {
 	DCP dc;
 
 	if ( !f )
 		return 0;
 	else if ( NUM(f) )
-		return (NID((Num)f) == N_LM 
-			|| NID((Num)f) == N_GF2N
-			|| NID((Num)f) == N_GFPN
-			|| NID((Num)f) == N_GFS) ? 1 : 0;
+		return (NID((Num)f) == N_GFS) ? 1 : 0;
 	else {
 		for ( dc = DC(f); dc; dc = NEXT(dc) )
-			if ( has_fcoef_p(COEF(dc)) )
+			if ( has_sfcoef_p(COEF(dc)) )
 				return 1;
 		return 0;
 	}
 }
 
-void initd(spec)
-struct order_spec *spec;
+void initd(struct order_spec *spec)
 {
 	switch ( spec->id ) {
+		case 3:
+			cmpdl = cmpdl_composite;
+			dp_dl_work = (int *)MALLOC_ATOMIC(spec->nv*sizeof(int));	
+			break;
 		case 2:
 			cmpdl = cmpdl_matrix;
 			dp_dl_work = (int *)MALLOC_ATOMIC(spec->nv*sizeof(int));	
@@ -153,18 +154,19 @@ struct order_spec *spec;
 					cmpdl = cmpdl_weyl_elim; break;
 				case ORD_HOMO_WW_DRL:
 					cmpdl = cmpdl_homo_ww_drl; break;
+				case ORD_DRL_ZIGZAG:
+					cmpdl = cmpdl_drl_zigzag; break;
+				case ORD_HOMO_WW_DRL_ZIGZAG:
+					cmpdl = cmpdl_homo_ww_drl_zigzag; break;
 				case ORD_LEX: default:
 					cmpdl = cmpdl_lex; break;
 			}
 			break;
 	}
-	dp_current_spec = *spec;
+	dp_current_spec = spec;
 }
 
-void ptod(vl,dvl,p,pr)
-VL vl,dvl;
-P p;
-DP *pr;
+void ptod(VL vl,VL dvl,P p,DP *pr)
 {
 	int isconst = 0;
 	int n,i,j,k;
@@ -206,7 +208,8 @@ DP *pr;
 
 				for ( j = k-1, s = 0; j >= 0; j-- ) {
 					ptod(vl,dvl,COEF(w[j]),&t);
-					NEWDL(d,n); d->td = QTOS(DEG(w[j])); d->d[i] = d->td;
+					NEWDL(d,n); d->d[i] = QTOS(DEG(w[j]));
+					d->td = MUL_WEIGHT(d->d[i],i);
 					NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td;
 					comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t;
 				}
@@ -215,15 +218,12 @@ DP *pr;
 		}
 	}
 #if 0
-	if ( !dp_fcoeffs && has_fcoef(*pr) )
-		dp_fcoeffs = 1;
+	if ( !dp_fcoeffs && has_sfcoef(*pr) )
+		dp_fcoeffs = N_GFS;
 #endif
 }
 
-void dtop(vl,dvl,p,pr)
-VL vl,dvl;
-DP p;
-P *pr;
+void dtop(VL vl,VL dvl,DP p,P *pr)
 {
 	int n,i,j,k;
 	DL d;
@@ -258,9 +258,7 @@ P *pr;
 	}
 }
 
-void nodetod(node,dp)
-NODE node;
-DP *dp;
+void nodetod(NODE node,DP *dp)
 {
 	NODE t;
 	int len,i,td;
@@ -278,7 +276,7 @@ DP *dp;
 		else if ( !NUM(e) || !RATN(e) || !INT(e) )
 			error("nodetod : invalid input");
 		else {
-			d->d[i] = QTOS((Q)e); td += d->d[i];
+			d->d[i] = QTOS((Q)e); td += MUL_WEIGHT(d->d[i],i);
 		}
 	}
 	d->td = td;
@@ -286,8 +284,7 @@ DP *dp;
 	MKDP(len,m,u); u->sugar = td; *dp = u;
 }
 
-int sugard(m)
-MP m;
+int sugard(MP m)
 {
 	int s;
 
@@ -296,9 +293,7 @@ MP m;
 	return s;
 }
 
-void addd(vl,p1,p2,pr)
-VL vl;
-DP p1,p2,*pr;
+void addd(VL vl,DP p1,DP p2,DP *pr)
 {
 	int n;
 	MP m1,m2,mr,mr0;
@@ -347,12 +342,10 @@ DP p1,p2,*pr;
 
 /* for F4 symbolic reduction */
 
-void symb_addd(p1,p2,pr)
-DP p1,p2,*pr;
+void symb_addd(DP p1,DP p2,DP *pr)
 {
 	int n;
 	MP m1,m2,mr,mr0;
-	P t;
 
 	if ( !p1 )
 		*pr = p2;
@@ -401,11 +394,11 @@ DP p1,p2,*pr;
  * return : a merged list
  */
 
-NODE symb_merge(m1,m2,n)
-NODE m1,m2;
-int n;
+NODE symb_merge(NODE m1,NODE m2,int n)
 {
 	NODE top,prev,cur,m,t;
+	int c,i;
+	DL d1,d2;
 
 	if ( !m1 )
 		return m2;
@@ -426,7 +419,27 @@ int n;
 		prev = top; cur = NEXT(top);
 		/* BDY(prev) > BDY(m) always holds */
 		while ( cur && m ) {
+			d1 = (DL)BDY(cur);
+			d2 = (DL)BDY(m);
+#if 1
 			switch ( (*cmpdl)(n,(DL)BDY(cur),(DL)BDY(m)) ) {
+#else
+			/* XXX only valid for DRL */
+			if ( d1->td > d2->td )
+				c = 1;
+			else if ( d1->td < d2->td )
+				c = -1;
+			else {
+				for ( i = n-1; i >= 0 && d1->d[i] == d2->d[i]; i-- );
+				if ( i < 0 )
+					c = 0;
+				else if ( d1->d[i] < d2->d[i] )
+					c = 1;
+				else
+					c = -1;
+			}
+			switch ( c ) {
+#endif
 				case 0:
 					m = NEXT(m);
 					prev = cur; cur = NEXT(cur);
@@ -447,10 +460,78 @@ int n;
 	}
 }
 
-DLBUCKET symb_merge_bucket(m1,m2,n)
-DLBUCKET m1,m2;
-int n;
+void _adddl(int n,DL d1,DL d2,DL d3)
 {
+	int i;
+
+	d3->td = d1->td+d2->td;
+	for ( i = 0; i < n; i++ )
+		d3->d[i] = d1->d[i]+d2->d[i];
+}
+
+/* m1 <- m1 U dl*f, destructive */
+
+NODE mul_dllist(DL dl,DP f);
+
+NODE symb_mul_merge(NODE m1,DL dl,DP f,int n)
+{
+	NODE top,prev,cur,n1;
+	DP g;
+	DL t,s;
+	MP m;
+
+	if ( !m1 )
+		return mul_dllist(dl,f);
+	else if ( !f )
+		return m1;
+	else {
+		m = BDY(f);
+		NEWDL_NOINIT(t,n);
+		_adddl(n,m->dl,dl,t);
+		top = m1; prev = 0; cur = m1;
+		while ( m ) {
+			switch ( (*cmpdl)(n,(DL)BDY(cur),t) ) {
+				case 0:
+					prev = cur; cur = NEXT(cur);
+					if ( !cur ) {
+						MKDP(n,m,g);
+						NEXT(prev) = mul_dllist(dl,g);
+						return;
+					}
+					m = NEXT(m);
+					if ( m ) _adddl(n,m->dl,dl,t);
+					break;
+				case 1:
+					prev = cur; cur = NEXT(cur); 
+					if ( !cur ) {
+						MKDP(n,m,g);
+						NEXT(prev) = mul_dllist(dl,g);
+						return;
+					}
+					break;
+				case -1:
+					NEWDL_NOINIT(s,n);
+					s->td = t->td;
+					bcopy(t->d,s->d,n*sizeof(int));
+					NEWNODE(n1);
+					n1->body = (pointer)s;
+					NEXT(n1) = cur;
+					if ( !prev ) {
+						top = n1; cur = n1;
+					} else {
+						NEXT(prev) = n1; prev = n1;
+					}
+					m = NEXT(m);
+					if ( m ) _adddl(n,m->dl,dl,t);
+					break;
+			}
+		}
+		return top;
+	}
+}
+
+DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n)
+{
 	DLBUCKET top,prev,cur,m,t;
 
 	if ( !m1 )
@@ -488,9 +569,7 @@ int n;
 	}
 }
 
-void subd(vl,p1,p2,pr)
-VL vl;
-DP p1,p2,*pr;
+void subd(VL vl,DP p1,DP p2,DP *pr)
 {
 	DP t;
 
@@ -501,8 +580,7 @@ DP p1,p2,*pr;
 	}
 }
 
-void chsgnd(p,pr)
-DP p,*pr;
+void chsgnd(DP p,DP *pr)
 {
 	MP m,mr,mr0;
 
@@ -518,9 +596,7 @@ DP p,*pr;
 	}
 }
 
-void muld(vl,p1,p2,pr)
-VL vl;
-DP p1,p2,*pr;
+void muld(VL vl,DP p1,DP p2,DP *pr)
 {
 	if ( ! do_weyl )
 		comm_muld(vl,p1,p2,pr);
@@ -528,9 +604,7 @@ DP p1,p2,*pr;
 		weyl_muld(vl,p1,p2,pr);
 }
 
-void comm_muld(vl,p1,p2,pr)
-VL vl;
-DP p1,p2,*pr;
+void comm_muld(VL vl,DP p1,DP p2,DP *pr)
 {
 	MP m;
 	DP s,t,u;
@@ -566,12 +640,87 @@ DP p1,p2,*pr;
 	}
 }
 
-void muldm(vl,p,m0,pr)
-VL vl;
-DP p;
-MP m0;
-DP *pr;
+/* discard terms which is not a multiple of dl */
+
+void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr)
 {
+	MP m;
+	DP s,t,u;
+	int i,l,l1;
+	static MP *w;
+	static int wlen;
+
+	if ( !p1 || !p2 )
+		*pr = 0;
+	else if ( OID(p1) <= O_P )
+		muldc_trunc(vl,p2,(P)p1,dl,pr);
+	else if ( OID(p2) <= O_P )
+		muldc_trunc(vl,p1,(P)p2,dl,pr);
+	else {
+		for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ );
+		for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ );
+		if ( l1 < l ) {
+			t = p1; p1 = p2; p2 = t;
+			l = l1;
+		}
+		if ( l > wlen ) {
+			if ( w ) GC_free(w);
+			w = (MP *)MALLOC(l*sizeof(MP));
+			wlen = l;
+		}
+		for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ )
+			w[i] = m;
+		for ( s = 0, i = l-1; i >= 0; i-- ) {
+			muldm_trunc(vl,p1,w[i],dl,&t); addd(vl,s,t,&u); s = u;
+		}
+		bzero(w,l*sizeof(MP));
+		*pr = s;
+	}
+}
+
+void comm_quod(VL vl,DP p1,DP p2,DP *pr)
+{
+	MP m,m0;
+	DP s,t;
+	int i,n,sugar;
+	DL d1,d2,d;
+	Q a,b;
+
+	if ( !p2 )
+		error("comm_quod : invalid input");
+	if ( !p1 )
+		*pr = 0;
+	else {
+		n = NV(p1);
+		d2 = BDY(p2)->dl;
+		m0 = 0;
+		sugar = p1->sugar;
+		while ( p1 ) {
+			d1 = BDY(p1)->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];
+			NEXTMP(m0,m);
+			m->dl = d;
+			divq((Q)BDY(p1)->c,(Q)BDY(p2)->c,&a); chsgnq(a,&b);
+			C(m) = (P)b;
+			muldm_trunc(vl,p2,m,d2,&t);
+			addd(vl,p1,t,&s); p1 = s;
+			C(m) = (P)a;
+		}
+		if ( m0 ) {
+			NEXT(m) = 0; MKDP(n,m0,*pr);
+		} else
+			*pr = 0;
+		/* XXX */
+		if ( *pr )
+			(*pr)->sugar = sugar - d2->td;
+	}
+}
+
+void muldm(VL vl,DP p,MP m0,DP *pr)
+{
 	MP m,mr,mr0;
 	P c;
 	DL d;
@@ -595,10 +744,45 @@ DP *pr;
 	}
 }
 
-void weyl_muld(vl,p1,p2,pr)
-VL vl;
-DP p1,p2,*pr;
+void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr)
 {
+	MP m,mr,mr0;
+	P c;
+	DL d,tdl;
+	int n,i;
+
+	if ( !p )
+		*pr = 0;
+	else {
+		n = NV(p);
+		NEWDL(tdl,n);
+		for ( mr0 = 0, m = BDY(p), c = C(m0), d = m0->dl; 
+			m; m = NEXT(m) ) {
+			_adddl(n,m->dl,d,tdl);
+			for ( i = 0; i < n; i++ )
+				if ( tdl->d[i] < dl->d[i] )
+					break;
+			if ( i < n )
+				continue;
+			NEXTMP(mr0,mr);
+			mr->dl = tdl;
+			NEWDL(tdl,n);
+			if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) )
+				mulq((Q)C(m),(Q)c,(Q *)&C(mr));
+			else
+				mulp(vl,C(m),c,&C(mr));
+		}
+		if ( mr0 ) {
+			NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
+		} else
+			*pr = 0;
+		if ( *pr )
+			(*pr)->sugar = p->sugar + m0->dl->td;
+	}
+}
+
+void weyl_muld(VL vl,DP p1,DP p2,DP *pr)
+{
 	MP m;
 	DP s,t,u;
 	int i,l;
@@ -630,11 +814,7 @@ DP p1,p2,*pr;
 
 /* monomial * polynomial */
 
-void weyl_muldm(vl,m0,p,pr)
-VL vl;
-MP m0;
-DP p;
-DP *pr;
+void weyl_muldm(VL vl,MP m0,DP p,DP *pr)
 {
 	DP r,t,t1;
 	MP m;
@@ -692,16 +872,9 @@ DP *pr;
 /* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */
 /* rtab : array of length (e0+1)*(e1+1)*... */
 
-void weyl_mulmm(vl,m0,m1,n,rtab,rtablen)
-VL vl;
-MP m0,m1;
-int n;
-struct cdl *rtab;
-int rtablen;
+void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen)
 {
-	MP m,mr,mr0;
-	DP r,t,t1;
-	P c,c0,c1,cc;
+	P c,c0,c1;
 	DL d,d0,d1,dt;
 	int i,j,a,b,k,l,n2,s,min,curlen;
 	struct cdl *p;
@@ -739,10 +912,13 @@ int rtablen;
 	for ( i = 0; i < n2; i++ ) {
 		a = d0->d[i]; b = d1->d[n2+i];
 		k = d0->d[n2+i]; l = d1->d[i];
+
+		/* degree of xi^a*(Di^k*xi^l)*Di^b */
+		a += l;
+		b += k;
+		s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i);
+
 		if ( !k || !l ) {
-			a += l;
-			b += k;
-			s = a+b;
 			for ( j = 0, p = rtab; j < curlen; j++, p++ ) {
 				if ( p->c ) {
 					dt = p->d;
@@ -761,8 +937,6 @@ int rtablen;
 			tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl));
 			ctab = (Q *)MALLOC(tablen*sizeof(Q));
 		}
-		/* degree of xi^a*(Di^k*xi^l)*Di^b */
-		s = a+k+l+b;
 		/* compute xi^a*(Di^k*xi^l)*Di^b */
 		min = MIN(k,l);
 		mkwc(k,l,ctab);
@@ -770,17 +944,17 @@ int rtablen;
 		if ( n & 1 )
 			for ( j = 0; j <= min; j++ ) {
 				NEWDL(d,n);
-				d->d[i] = l-j+a; d->d[n2+i] = k-j+b;
+				d->d[i] = a-j; d->d[n2+i] = b-j;
 				d->td = s;
-				d->d[n-1] = s-(d->d[i]+d->d[n2+i]); 
+				d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i));
 				tab[j].d = d;
 				tab[j].c = (P)ctab[j];
 			}
 		else
 			for ( j = 0; j <= min; j++ ) {
 				NEWDL(d,n);
-				d->d[i] = l-j+a; d->d[n2+i] = k-j+b;
-				d->td = d->d[i]+d->d[n2+i]; /* XXX */
+				d->d[i] = a-j; d->d[n2+i] = b-j;
+				d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */
 				tab[j].d = d;
 				tab[j].c = (P)ctab[j];
 			}
@@ -800,14 +974,7 @@ int rtablen;
   ]
 */
 
-void comm_muld_tab(vl,nv,t,n,t1,n1,rt)
-VL vl;
-int nv;
-struct cdl *t;
-int n;
-struct cdl *t1;
-int n1;
-struct cdl *rt;
+void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt)
 {
 	int i,j;
 	struct cdl *p;
@@ -829,11 +996,7 @@ struct cdl *rt;
 	}
 }
 
-void muldc(vl,p,c,pr)
-VL vl;
-DP p;
-P c;
-DP *pr;
+void muldc(VL vl,DP p,P c,DP *pr)
 {
 	MP m,mr,mr0;
 
@@ -858,14 +1021,39 @@ DP *pr;
 	}
 }
 
-void divsdc(vl,p,c,pr)
-VL vl;
-DP p;
-P c;
-DP *pr;
+void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr)
 {
 	MP m,mr,mr0;
+	DL mdl;
+	int i,n;
 
+	if ( !p || !c ) {
+		*pr = 0; return;
+	}
+	n = NV(p);
+	for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
+		mdl = m->dl;
+		for ( i = 0; i < n; i++ )
+			if ( mdl->d[i] < dl->d[i] )
+				break;
+		if ( i < n )
+			break;
+		NEXTMP(mr0,mr);
+		if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) )
+			mulq((Q)C(m),(Q)c,(Q *)&C(mr));
+		else
+			mulp(vl,C(m),c,&C(mr));
+		mr->dl = m->dl;
+	}
+	NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
+	if ( *pr )
+		(*pr)->sugar = p->sugar;
+}
+
+void divsdc(VL vl,DP p,P c,DP *pr)
+{
+	MP m,mr,mr0;
+
 	if ( !c )
 		error("disvsdc : division by 0");
 	else if ( !p )
@@ -880,10 +1068,7 @@ DP *pr;
 	}
 }
 
-void adddl(n,d1,d2,dr)
-int n;
-DL d1,d2;
-DL *dr;
+void adddl(int n,DL d1,DL d2,DL *dr)
 {
 	DL dt;
 	int i;
@@ -902,11 +1087,8 @@ DL *dr;
 
 /* d1 += d2 */
 
-void adddl_destructive(n,d1,d2)
-int n;
-DL d1,d2;
+void adddl_destructive(int n,DL d1,DL d2)
 {
-	DL dt;
 	int i;
 
 	d1->td += d2->td;
@@ -914,9 +1096,7 @@ DL d1,d2;
 		d1->d[i] += d2->d[i];
 }
 
-int compd(vl,p1,p2)
-VL vl;
-DP p1,p2;
+int compd(VL vl,DP p1,DP p2)
 {
 	int n,t;
 	MP m1,m2;
@@ -940,9 +1120,7 @@ DP p1,p2;
 	}
 }
 
-int cmpdl_lex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_lex(int n,DL d1,DL d2)
 {
 	int i;
 
@@ -950,9 +1128,7 @@ DL d1,d2;
 	return i == n ? 0 : (d1->d[i] > d2->d[i] ? 1 : -1);
 }
 
-int cmpdl_revlex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_revlex(int n,DL d1,DL d2)
 {
 	int i;
 
@@ -960,9 +1136,7 @@ DL d1,d2;
 	return i < 0 ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1);
 }
 
-int cmpdl_gradlex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_gradlex(int n,DL d1,DL d2)
 {
 	if ( d1->td > d2->td )
 		return 1;
@@ -972,11 +1146,9 @@ DL d1,d2;
 		return cmpdl_lex(n,d1,d2);
 }
 
-int cmpdl_revgradlex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_revgradlex(int n,DL d1,DL d2)
 {
-	register int i;
+	register int i,c;
 	register int *p1,*p2;
 
 	if ( d1->td > d2->td )
@@ -984,15 +1156,73 @@ DL d1,d2;
 	else if ( d1->td < d2->td )
 		return -1;
 	else {
-		for ( i= n - 1, p1 = d1->d+n-1, p2 = d2->d+n-1;
-			i >= 0 && *p1 == *p2; i--, p1--, p2-- );
-		return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1);
+		i = n-1;
+		p1 = d1->d+n-1;
+		p2 = d2->d+n-1;
+		while ( i >= 7 ) {
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			c = (*p1--) - (*p2--); if ( c ) goto LAST;
+			i -= 8;
+		}
+		switch ( i ) {
+			case 6:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			case 5:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			case 4:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			case 3:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			case 2:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			case 1:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			case 0:
+				c = (*p1--) - (*p2--); if ( c ) goto LAST;
+				return 0;
+			default:
+				return 0;
+		}
+LAST:
+		if ( c > 0 ) return -1;
+		else return 1;
 	}
 }
 
-int cmpdl_blex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_blex(int n,DL d1,DL d2)
 {
 	int c;
 
@@ -1004,9 +1234,7 @@ DL d1,d2;
 	}
 }
 
-int cmpdl_bgradlex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_bgradlex(int n,DL d1,DL d2)
 {
 	int e1,e2,c;
 
@@ -1024,9 +1252,7 @@ DL d1,d2;
 	}
 }
 
-int cmpdl_brevgradlex(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_brevgradlex(int n,DL d1,DL d2)
 {
 	int e1,e2,c;
 
@@ -1044,9 +1270,7 @@ DL d1,d2;
 	}
 }
 
-int cmpdl_brevrev(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_brevrev(int n,DL d1,DL d2)
 {
 	int e1,e2,f1,f2,c,i;
 
@@ -1073,9 +1297,7 @@ DL d1,d2;
 	}
 }
 
-int cmpdl_bgradrev(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_bgradrev(int n,DL d1,DL d2)
 {
 	int e1,e2,f1,f2,c,i;
 
@@ -1102,9 +1324,7 @@ DL d1,d2;
 	}
 }
 
-int cmpdl_blexrev(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_blexrev(int n,DL d1,DL d2)
 {
 	int e1,e2,f1,f2,c,i;
 
@@ -1125,9 +1345,7 @@ DL d1,d2;
 	}
 }
 
-int cmpdl_elim(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_elim(int n,DL d1,DL d2)
 {
 	int e1,e2,i;
 
@@ -1142,9 +1360,7 @@ DL d1,d2;
 		return cmpdl_revgradlex(n,d1,d2);
 }
 
-int cmpdl_weyl_elim(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_weyl_elim(int n,DL d1,DL d2)
 {
 	int e1,e2,i;
 
@@ -1169,11 +1385,9 @@ DL d1,d2;
 	3. DRL for the first 2*m variables
 */
 
-extern int *current_weight_vector;
+extern int *current_weyl_weight_vector;
 
-int cmpdl_homo_ww_drl(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_homo_ww_drl(int n,DL d1,DL d2)
 {
 	int e1,e2,m,i;
 	int *p1,*p2;
@@ -1184,9 +1398,9 @@ DL d1,d2;
 		return -1;
 
 	m = n>>1;
-	for ( i = 0, e1 = e2 = 0; i < m; i++ ) {
-		e1 += current_weight_vector[i]*(d1->d[m+i] - d1->d[i]);
-		e2 += current_weight_vector[i]*(d2->d[m+i] - d2->d[i]);
+	for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) {
+		e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]);
+		e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]);
 	}
 	if ( e1 > e2 )
 		return 1;
@@ -1205,24 +1419,77 @@ DL d1,d2;
 	return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1);
 }
 
-int cmpdl_order_pair(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_drl_zigzag(int n,DL d1,DL d2)
 {
+	int i,t,m;
+	int *p1,*p2;
+
+	if ( d1->td > d2->td )
+		return 1;
+	else if ( d1->td < d2->td )
+		return -1;
+	else {
+		m = n>>1;
+		for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) {
+			if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1;
+			if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1;
+		}
+		return 0;
+	}
+}
+
+int cmpdl_homo_ww_drl_zigzag(int n,DL d1,DL d2)
+{
+	int e1,e2,m,i,t;
+	int *p1,*p2;
+
+	if ( d1->td > d2->td )
+		return 1;
+	else if ( d1->td < d2->td )
+		return -1;
+
+	m = n>>1;
+	for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) {
+		e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]);
+		e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]);
+	}
+	if ( e1 > e2 )
+		return 1;
+	else if ( e1 < e2 )
+		return -1;
+
+	e1 = d1->td - d1->d[n-1];
+	e2 = d2->td - d2->d[n-1];
+	if ( e1 > e2 )
+		return 1;
+	else if ( e1 < e2 )
+		return -1;
+
+	for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) {
+		if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1;
+		if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1;
+	}
+	return 0;
+}
+
+int cmpdl_order_pair(int n,DL d1,DL d2)
+{
 	int e1,e2,i,j,l;
 	int *t1,*t2;
-	int len;
+	int len,head;
 	struct order_pair *pair;
 
-	len = dp_current_spec.ord.block.length;
-	pair = dp_current_spec.ord.block.order_pair;
+	len = dp_current_spec->ord.block.length;
+	pair = dp_current_spec->ord.block.order_pair;
 
+	head = 0;
 	for ( i = 0, t1 = d1->d, t2 = d2->d; i < len; i++ ) {
 		l = pair[i].length;
 		switch ( pair[i].order ) {
 			case 0:
 				for ( j = 0, e1 = e2 = 0; j < l; j++ ) {
-					e1 += t1[j]; e2 += t2[j];
+					e1 += MUL_WEIGHT(t1[j],head+j);
+					e2 += MUL_WEIGHT(t2[j],head+j);
 				}
 				if ( e1 > e2 )
 					return 1;
@@ -1236,7 +1503,8 @@ DL d1,d2;
 				break;
 			case 1:
 				for ( j = 0, e1 = e2 = 0; j < l; j++ ) {
-					e1 += t1[j]; e2 += t2[j];
+					e1 += MUL_WEIGHT(t1[j],head+j);
+					e2 += MUL_WEIGHT(t2[j],head+j);
 				}
 				if ( e1 > e2 )
 					return 1;
@@ -1256,23 +1524,90 @@ DL d1,d2;
 			default:
 				error("cmpdl_order_pair : invalid order"); break;
 		}
-		t1 += l; t2 += l;
+		t1 += l; t2 += l; head += l;
 	}
 	return 0;
 }
 
-int cmpdl_matrix(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_composite(int nv,DL d1,DL d2)
 {
+	int n,i,j,k,start,s,len;
+	int *dw;
+	struct sparse_weight *sw;
+	struct weight_or_block *worb;
+	int *w,*t1,*t2;
+
+	n = dp_current_spec->ord.composite.length;
+	worb = dp_current_spec->ord.composite.w_or_b;
+	w = dp_dl_work;
+	for ( i = 0, t1 = d1->d, t2 = d2->d; i < nv; i++ )
+		w[i] = t1[i]-t2[i];
+	for ( i = 0; i < n; i++, worb++ ) {
+		len = worb->length;
+		switch ( worb->type ) {
+			case IS_DENSE_WEIGHT:
+				dw = worb->body.dense_weight;
+				for ( j = 0, s = 0; j < len; j++ )
+					s += dw[j]*w[j];
+				if ( s > 0 ) return 1;
+				else if ( s < 0 ) return -1;
+				break;
+			case IS_SPARSE_WEIGHT:
+				sw = worb->body.sparse_weight;
+				for ( j = 0, s = 0; j < len; j++ )
+					s += sw[j].value*w[sw[j].pos];
+				if ( s > 0 ) return 1;
+				else if ( s < 0 ) return -1;
+				break;
+			case IS_BLOCK:
+				start = worb->body.block.start;
+				switch ( worb->body.block.order ) {
+					case 0:
+						for ( j = 0, k = start, s = 0; j < len; j++, k++ ) {
+							s += MUL_WEIGHT(w[k],k);
+						}
+						if ( s > 0 ) return 1;
+						else if ( s < 0 ) return -1;
+						else {
+							for ( j = k-1; j >= start && w[j] == 0; j-- );
+							if ( j >= start )
+								return w[j] < 0 ? 1 : -1;
+						}
+						break;
+					case 1:
+						for ( j = 0, k = start, s = 0; j < len; j++, k++ ) {
+							s += MUL_WEIGHT(w[k],k);
+						}
+						if ( s > 0 ) return 1;
+						else if ( s < 0 ) return -1;
+						else {
+							for ( j = 0, k = start;  j < len && w[j] == 0; j++, k++ );
+							if ( j < len )
+								return w[j] > 0 ? 1 : -1;
+						}
+						break;
+					case 2:
+						for ( j = 0, k = start;  j < len && w[j] == 0; j++, k++ );
+						if ( j < len )
+							return w[j] > 0 ? 1 : -1;
+						break;
+				}
+				break;
+		}
+	}
+	return 0;
+}
+
+int cmpdl_matrix(int n,DL d1,DL d2)
+{
 	int *v,*w,*t1,*t2;
 	int s,i,j,len;
 	int **matrix;
 
 	for ( i = 0, t1 = d1->d, t2 = d2->d, w = dp_dl_work; i < n; i++ )
 		w[i] = t1[i]-t2[i];
-	len = dp_current_spec.ord.matrix.row;
-	matrix = dp_current_spec.ord.matrix.matrix;
+	len = dp_current_spec->ord.matrix.row;
+	matrix = dp_current_spec->ord.matrix.matrix;
 	for ( j = 0; j < len; j++ ) {
 		v = matrix[j];
 		for ( i = 0, s = 0; i < n; i++ )
@@ -1283,4 +1618,57 @@ DL d1,d2;
 			return -1;
 	}
 	return 0;
+}
+
+GeoBucket create_bucket()
+{
+	GeoBucket g;
+
+	g = CALLOC(1,sizeof(struct oGeoBucket));
+	g->m = 32;
+	return g;
+}
+
+void add_bucket(GeoBucket g,NODE d,int nv)
+{
+	int l,k,m;
+
+	l = length(d);
+	for ( k = 0, m = 1; l > m; k++, m <<= 1 );
+	/* 2^(k-1) < l <= 2^k */
+	d = symb_merge(g->body[k],d,nv);
+	for ( ; length(d) > (1<<(k)); k++ ) {
+		g->body[k] = 0;
+		d = symb_merge(g->body[k+1],d,nv);
+	}
+	g->body[k] = d;
+	g->m = MAX(g->m,k);
+}
+
+DL remove_head_bucket(GeoBucket g,int nv)
+{
+	int j,i,c,m;
+	DL d;
+
+	j = -1;
+	m = g->m;
+	for ( i = 0; i <= m; i++ ) {
+		if ( !g->body[i] )
+			continue;
+		if ( j < 0 ) j = i;
+		else {
+			c = (*cmpdl)(nv,g->body[i]->body,g->body[j]->body);
+			if ( c > 0 )
+				j = i;
+			else if ( c == 0 )
+				g->body[i] = NEXT(g->body[i]);	
+		}
+	}
+	if ( j < 0 )
+		return 0;
+	else {
+		d = g->body[j]->body;
+		g->body[j] = NEXT(g->body[j]);
+		return d;
+	}
 }