===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v
retrieving revision 1.3
retrieving revision 1.43
diff -u -p -r1.3 -r1.43
--- OpenXM_contrib2/asir2000/engine/dist.c	2000/04/13 06:01:02	1.3
+++ OpenXM_contrib2/asir2000/engine/dist.c	2007/09/17 12:47:45	1.43
@@ -1,9 +1,54 @@
-/* $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.2 2000/04/05 08:32:17 noro Exp $ */
+/*
+ * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED 
+ * All rights reserved.
+ * 
+ * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
+ * non-exclusive and royalty-free license to use, copy, modify and
+ * redistribute, solely for non-commercial and non-profit purposes, the
+ * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
+ * conditions of this Agreement. For the avoidance of doubt, you acquire
+ * only a limited right to use the SOFTWARE hereunder, and FLL or any
+ * third party developer retains all rights, including but not limited to
+ * copyrights, in and to the SOFTWARE.
+ * 
+ * (1) FLL does not grant you a license in any way for commercial
+ * purposes. You may use the SOFTWARE only for non-commercial and
+ * non-profit purposes only, such as academic, research and internal
+ * business use.
+ * (2) The SOFTWARE is protected by the Copyright Law of Japan and
+ * international copyright treaties. If you make copies of the SOFTWARE,
+ * with or without modification, as permitted hereunder, you shall affix
+ * to all such copies of the SOFTWARE the above copyright notice.
+ * (3) An explicit reference to this SOFTWARE and its copyright owner
+ * shall be made on your publication or presentation in any form of the
+ * results obtained by use of the SOFTWARE.
+ * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
+ * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
+ * for such modification or the source code of the modified part of the
+ * SOFTWARE.
+ * 
+ * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
+ * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
+ * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
+ * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
+ * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
+ * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
+ * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
+ * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
+ * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
+ * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
+ * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
+ * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
+ * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
+ * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
+ * 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 1.42 2006/08/27 22:17:27 noro Exp $ 
+*/
 #include "ca.h"
 
-#define NV(p) ((p)->nv)
-#define C(p) ((p)->c)
-
 #define ORD_REVGRADLEX 0
 #define ORD_GRADLEX 1
 #define ORD_LEX 2
@@ -14,59 +59,79 @@
 #define ORD_BGRADREV 7
 #define ORD_BLEXREV 8
 #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_top_weight();
+
 int (*cmpdl)()=cmpdl_revgradlex;
+int (*cmpdl_tie_breaker)();
 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,DP,MP,DP *);
-void weyl_mulmm(VL,MP,MP,int,DP *);
-void mkwc(int,int,Q *);
-
 int do_weyl;
 
 int dp_nelim,dp_fcoeffs;
-struct order_spec dp_current_spec;
+struct order_spec *dp_current_spec;
+struct modorder_spec *dp_current_modspec;
 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);
+	create_modorder_spec(0,0,&dp_current_modspec);
+}
+
+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) ? 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;
+extern N *current_top_weight_vector;
+static int current_top_weight_len;
+
+void initd(struct order_spec *spec)
 {
+	int len,i;
+
 	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));	
@@ -94,26 +159,40 @@ struct order_spec *spec;
 					cmpdl = cmpdl_blexrev; break;
 				case ORD_ELIM:
 					cmpdl = cmpdl_elim; break;
+				case ORD_WEYL_ELIM:
+					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;
+	if ( current_top_weight_vector ) {
+		cmpdl_tie_breaker = cmpdl;
+		cmpdl = cmpdl_top_weight;
+		for ( len = 0, i = 0; i < spec->nv; i++ )
+			if ( current_top_weight_vector[i] )
+				len = MAX(PL(current_top_weight_vector[i]),len);
+		current_top_weight_len = len;
+	}
+	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;
+	int n,i,j,k;
 	VL tvl;
 	V v;
 	DL d;
 	MP m;
 	DCP dc;
+	DCP *w;
 	DP r,s,t,u;
 	P x,c;
 
@@ -128,15 +207,26 @@ DP *pr;
 			for ( i = 0, tvl = dvl, v = VR(p);
 				tvl && tvl->v != v; tvl = NEXT(tvl), i++ );
 			if ( !tvl ) {
-				for ( dc = DC(p), s = 0, MKV(v,x); dc; dc = NEXT(dc) ) {
-					ptod(vl,dvl,COEF(dc),&t); pwrp(vl,x,DEG(dc),&c);
+				for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
+				w = (DCP *)ALLOCA(k*sizeof(DCP));
+				for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ )
+					w[j] = dc;
+
+				for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) {
+					ptod(vl,dvl,COEF(w[j]),&t); pwrp(vl,x,DEG(w[j]),&c);
 					muldc(vl,t,c,&r); addd(vl,r,s,&t); s = t;
 				}
 				*pr = s;
 			} else {
-				for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
-					ptod(vl,dvl,COEF(dc),&t);
-					NEWDL(d,n); d->td = QTOS(DEG(dc)); d->d[i] = d->td;
+				for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
+				w = (DCP *)ALLOCA(k*sizeof(DCP));
+				for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ )
+					w[j] = dc;
+
+				for ( j = k-1, s = 0; j >= 0; j-- ) {
+					ptod(vl,dvl,COEF(w[j]),&t);
+					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;
 				}
@@ -144,18 +234,18 @@ DP *pr;
 			}
 		}
 	}
-	if ( !dp_fcoeffs && has_fcoef(*pr) )
-		dp_fcoeffs = 1;
+#if 0
+	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;
+	int n,i,j,k;
 	DL d;
 	MP m;
+	MP *a;
 	P r,s,t,u,w;
 	Q q;
 	VL tvl;
@@ -163,7 +253,13 @@ P *pr;
 	if ( !p )
 		*pr = 0;
 	else {
-		for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) {
+		for ( k = 0, m = BDY(p); m; m = NEXT(m), k++ );
+		a = (MP *)ALLOCA(k*sizeof(MP));
+		for ( j = 0, m = BDY(p); j < k; m = NEXT(m), j++ )
+			a[j] = m;
+
+		for ( n = p->nv, j = k-1, s = 0; j >= 0; j-- ) {
+			m = a[j];
 			t = C(m);
 			if ( NUM(t) && NID((Num)t) == N_M ) {
 				mptop(t,&u); t = u;
@@ -179,9 +275,7 @@ P *pr;
 	}
 }
 
-void nodetod(node,dp)
-NODE node;
-DP *dp;
+void nodetod(NODE node,DP *dp)
 {
 	NODE t;
 	int len,i,td;
@@ -199,7 +293,7 @@ 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;
@@ -207,8 +301,7 @@ DP *dp;
 	MKDP(len,m,u); u->sugar = td; *dp = u;
 }
 
-int sugard(m)
-MP m;
+int sugard(MP m)
 {
 	int s;
 
@@ -217,19 +310,28 @@ 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;
 	P t;
+	DL d;
 
 	if ( !p1 )
 		*pr = p2;
 	else if ( !p2 )
 		*pr = p1;
 	else {
+		if ( OID(p1) <= O_R ) {
+			n = NV(p2);	NEWDL(d,n);
+			NEWMP(m1); m1->dl = d; C(m1) = (P)p1; NEXT(m1) = 0;
+			MKDP(n,m1,p1); (p1)->sugar = 0;
+		}
+		if ( OID(p2) <= O_R ) {
+			n = NV(p1);	NEWDL(d,n);
+			NEWMP(m2); m2->dl = d; C(m2) = (P)p2; NEXT(m2) = 0;
+			MKDP(n,m2,p2); (p2)->sugar = 0;
+		}
 		for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; )
 			switch ( (*cmpdl)(n,m1->dl,m2->dl) ) {
 				case 0:
@@ -268,12 +370,10 @@ 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;
@@ -322,11 +422,11 @@ 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;
@@ -347,7 +447,27 @@ 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);
@@ -368,10 +488,117 @@ int n;
 	}
 }
 
-void subd(vl,p1,p2,pr)
-VL vl;
-DP p1,p2,*pr;
+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 )
+		return m2;
+	else if ( !m2 )
+		return m1;
+	else {
+		if ( m1->td == m2->td ) {
+			top = m1;
+			BDY(top) = symb_merge(BDY(top),BDY(m2),n);
+			m = NEXT(m2);
+		} else if ( m1->td > m2->td ) {
+			top = m1; m = m2;
+		} else {
+			top = m2; m = m1;
+		}
+		prev = top; cur = NEXT(top);
+		/* prev->td > m->td always holds */
+		while ( cur && m ) {
+			if ( cur->td == m->td ) {
+				BDY(cur) = symb_merge(BDY(cur),BDY(m),n);
+				m = NEXT(m);
+				prev = cur; cur = NEXT(cur);
+			} else if ( cur->td > m->td ) {
+				t = NEXT(cur); NEXT(cur) = m; m = t;
+				prev = cur; cur = NEXT(cur);
+			} else {
+				NEXT(prev) = m; m = cur;
+				prev = NEXT(prev); cur = NEXT(prev);
+			}
+		}
+		if ( !cur )
+			NEXT(prev) = m;
+		return top;
+	}
+}
+
+void subd(VL vl,DP p1,DP p2,DP *pr)
+{
 	DP t;
 
 	if ( !p2 )
@@ -381,14 +608,16 @@ DP p1,p2,*pr;
 	}
 }
 
-void chsgnd(p,pr)
-DP p,*pr;
+void chsgnd(DP p,DP *pr)
 {
 	MP m,mr,mr0;
+	Obj r;
 
 	if ( !p )
 		*pr = 0;
-	else {
+	else if ( OID(p) <= O_R ) {
+		chsgnr((Obj)p,&r); *pr = (DP)r;
+	} else {
 		for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
 			NEXTMP(mr0,mr); chsgnp(C(m),&C(mr)); mr->dl = m->dl;
 		}
@@ -398,9 +627,7 @@ 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);
@@ -408,12 +635,13 @@ 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;
+	int i,l,l1;
+	static MP *w;
+	static int wlen;
 
 	if ( !p1 || !p2 )
 		*pr = 0;
@@ -422,19 +650,108 @@ DP p1,p2,*pr;
 	else if ( OID(p2) <= O_P )
 		muldc(vl,p1,(P)p2,pr);
 	else {
-		for ( m = BDY(p2), s = 0; m; m = NEXT(m) ) {
-			muldm(vl,p1,m,&t); addd(vl,s,t,&u); s = u;
+		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(vl,p1,w[i],&t); addd(vl,s,t,&u); s = u;
+		}
+		bzero(w,l*sizeof(MP));
 		*pr = s;
 	}
 }
 
-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;
@@ -458,12 +775,50 @@ 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;
+	static MP *w;
+	static int wlen;
 
 	if ( !p1 || !p2 )
 		*pr = 0;
@@ -472,90 +827,207 @@ DP p1,p2,*pr;
 	else if ( OID(p2) <= O_P )
 		muldc(vl,p1,(P)p2,pr);
 	else {
-		for ( m = BDY(p2), s = 0; m; m = NEXT(m) ) {
-			weyl_muldm(vl,p1,m,&t); addd(vl,s,t,&u); s = u;
+		for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ );
+		if ( l > wlen ) {
+			if ( w ) GC_free(w);
+			w = (MP *)MALLOC(l*sizeof(MP));
+			wlen = l;
 		}
+		for ( m = BDY(p1), i = 0; i < l; m = NEXT(m), i++ )
+			w[i] = m;
+		for ( s = 0, i = l-1; i >= 0; i-- ) {
+			weyl_muldm(vl,w[i],p2,&t); addd(vl,s,t,&u); s = u;
+		}
+		bzero(w,l*sizeof(MP));
 		*pr = s;
 	}
 }
 
-void weyl_muldm(vl,p,m0,pr)
-VL vl;
-DP p;
-MP m0;
-DP *pr;
+/* monomial * polynomial */
+
+void weyl_muldm(VL vl,MP m0,DP p,DP *pr)
 {
 	DP r,t,t1;
 	MP m;
-	int n;
+	DL d0;
+	int n,n2,l,i,j,tlen;
+	static MP *w,*psum;
+	static struct cdl *tab;
+	static int wlen;
+	static int rtlen;
 
 	if ( !p )
 		*pr = 0;
 	else {
-		for ( r = 0, m = BDY(p), n = NV(p); m; m = NEXT(m) ) {
-			weyl_mulmm(vl,m,m0,n,&t);
-			addd(vl,r,t,&t1); r = t1;
+		for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ );
+		if ( l > wlen ) {
+			if ( w ) GC_free(w);
+			w = (MP *)MALLOC(l*sizeof(MP));
+			wlen = l;
 		}
+		for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ )
+			w[i] = m;
+
+		n = NV(p); n2 = n>>1;
+		d0 = m0->dl;
+		for ( i = 0, tlen = 1; i < n2; i++ )
+			tlen *= d0->d[n2+i]+1;
+		if ( tlen > rtlen ) {
+			if ( tab ) GC_free(tab);
+			if ( psum ) GC_free(psum);
+			rtlen = tlen;
+			tab = (struct cdl *)MALLOC(rtlen*sizeof(struct cdl));
+			psum = (MP *)MALLOC(rtlen*sizeof(MP));
+		}
+		bzero(psum,tlen*sizeof(MP));
+		for ( i = l-1; i >= 0; i-- ) {
+			bzero(tab,tlen*sizeof(struct cdl));
+			weyl_mulmm(vl,m0,w[i],n,tab,tlen);
+			for ( j = 0; j < tlen; j++ ) {
+				if ( tab[j].c ) {
+					NEWMP(m); m->dl = tab[j].d; C(m) = tab[j].c; NEXT(m) = psum[j];
+					psum[j] = m;
+				}
+			}
+		}
+		for ( j = tlen-1, r = 0; j >= 0; j-- ) 
+			if ( psum[j] ) {
+				MKDP(n,psum[j],t); addd(vl,r,t,&t1); r = t1;
+			}
 		if ( r )
 			r->sugar = p->sugar + m0->dl->td;
 		*pr = r;
 	}
 }
 
-/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */
+/* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */
+/* rtab : array of length (e0+1)*(e1+1)*... */
 
-void weyl_mulmm(vl,m0,m1,n,pr)
-VL vl;
-MP m0,m1;
-int n;
-DP *pr;
+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;
-	DL d,d0,d1;
-	int i,j,a,b,k,l,n2,s,min;
-	Q *tab;
+	P c,c0,c1;
+	DL d,d0,d1,dt;
+	int i,j,a,b,k,l,n2,s,min,curlen;
+	struct cdl *p;
+	static Q *ctab;
+	static struct cdl *tab;
+	static int tablen;
+	static struct cdl *tmptab;
+	static int tmptablen;
 
-	if ( !m0 || !m1 )
-		*pr = 0;
-	else {
-		c0 = C(m0); c1 = C(m1);
-		mulp(vl,c0,c1,&c);
-		d0 = m0->dl; d1 = m1->dl;
-		n2 = n>>1;
-		for ( i = 0, r = (DP)ONE; i < n2; i++ ) {
-			a = d0->d[i]; b = d1->d[n2+i];
-			k = d0->d[n2+i]; l = d1->d[i];
-			/* compute xi^a*(Di^k*xi^l)*Di^b */
-			min = MIN(k,l);
-			tab = (Q *)ALLOCA((min+1)*sizeof(Q));
-			mkwc(k,l,tab);
-			for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) {
-				NEXTMP(mr0,mr);
+	
+	if ( !m0 || !m1 ) {
+		rtab[0].c = 0;
+		rtab[0].d = 0;
+		return;
+	}
+	c0 = C(m0); c1 = C(m1);
+	mulp(vl,c0,c1,&c);
+	d0 = m0->dl; d1 = m1->dl;
+	n2 = n>>1;
+	curlen = 1;
+	NEWDL(d,n);
+	if ( n & 1 )
+		/* offset of h-degree */
+	 	d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1];
+	else
+		d->td = 0;
+	rtab[0].c = c;
+	rtab[0].d = d;
+
+	if ( rtablen > tmptablen ) {
+		if ( tmptab ) GC_free(tmptab);
+		tmptab = (struct cdl *)MALLOC(rtablen*sizeof(struct cdl));
+		tmptablen = 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 ) {
+			for ( j = 0, p = rtab; j < curlen; j++, p++ ) {
+				if ( p->c ) {
+					dt = p->d;
+					dt->d[i] = a;
+					dt->d[n2+i] = b;
+					dt->td += s;
+				}
+			}
+			curlen *= k+1;
+			continue;
+		}
+		if ( k+1 > tablen ) {
+			if ( tab ) GC_free(tab);
+			if ( ctab ) GC_free(ctab);
+			tablen = k+1;
+			tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl));
+			ctab = (Q *)MALLOC(tablen*sizeof(Q));
+		}
+		/* compute xi^a*(Di^k*xi^l)*Di^b */
+		min = MIN(k,l);
+		mkwc(k,l,ctab);
+		bzero(tab,(k+1)*sizeof(struct cdl));
+		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->td = d->d[i]+d->d[n2+i]; /* XXX */
-				s = MAX(s,d->td); /* XXX */
-				mr->c = (P)tab[j];
-				mr->dl = d;
+				d->d[i] = a-j; d->d[n2+i] = b-j;
+				d->td = s;
+				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];
 			}
-			if ( mr0 )
-				NEXT(mr) = 0;
-			MKDP(n,mr0,t);
-			if ( t )
-				t->sugar = s;
-			comm_muld(vl,r,t,&t1); r = t1;
+		else
+			for ( j = 0; j <= min; j++ ) {
+				NEWDL(d,n);
+				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];
+			}
+		bzero(ctab,(min+1)*sizeof(Q));
+		comm_muld_tab(vl,n,rtab,curlen,tab,k+1,tmptab);
+		curlen *= k+1;
+		bcopy(tmptab,rtab,curlen*sizeof(struct cdl));
+	}
+}
+
+/* direct product of two cdl tables
+  rt[] = [
+    t[0]*t1[0],...,t[n-1]*t1[0],
+    t[0]*t1[1],...,t[n-1]*t1[1],
+    ...
+    t[0]*t1[n1-1],...,t[n-1]*t1[n1-1]
+  ]
+*/
+
+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;
+	P c;
+	DL d;
+
+	bzero(rt,n*n1*sizeof(struct cdl));
+	for ( j = 0, p = rt; j < n1; j++ ) {
+		c = t1[j].c;
+		d = t1[j].d;
+		if ( !c )
+			break;
+		for ( i = 0; i < n; i++, p++ ) {
+			if ( t[i].c ) {
+				mulp(vl,t[i].c,c,&p->c);
+				adddl(nv,t[i].d,d,&p->d);
+			}
 		}
-		muldc(vl,r,c,pr);
 	}
 }
 
-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;
 
@@ -580,14 +1052,39 @@ 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 )
@@ -602,10 +1099,7 @@ 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;
@@ -622,10 +1116,19 @@ DL *dr;
 	}
 }
 
-int compd(vl,p1,p2)
-VL vl;
-DP p1,p2;
+/* d1 += d2 */
+
+void adddl_destructive(int n,DL d1,DL d2)
 {
+	int i;
+
+	d1->td += d2->td;
+	for ( i = 0; i < n; i++ )
+		d1->d[i] += d2->d[i];
+}
+
+int compd(VL vl,DP p1,DP p2)
+{
 	int n,t;
 	MP m1,m2;
 
@@ -633,6 +1136,8 @@ DP p1,p2;
 		return p2 ? -1 : 0;
 	else if ( !p2 )
 		return 1;
+	else if ( NV(p1) != NV(p2) )
+		error("compd : size mismatch");
 	else {
 		for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2);
 			m1 && m2; m1 = NEXT(m1), m2 = NEXT(m2) )
@@ -648,9 +1153,7 @@ 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;
 
@@ -658,9 +1161,7 @@ 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;
 
@@ -668,9 +1169,7 @@ 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;
@@ -680,21 +1179,83 @@ 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,c;
+	register int *p1,*p2;
+
 	if ( d1->td > d2->td )
 		return 1;
 	else if ( d1->td < d2->td )
 		return -1;
-	else
-		return cmpdl_revlex(n,d1,d2);
+	else {
+		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;
 
@@ -706,9 +1267,7 @@ 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;
 
@@ -726,9 +1285,7 @@ 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;
 
@@ -746,9 +1303,7 @@ 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;
 
@@ -775,9 +1330,7 @@ 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;
 
@@ -804,9 +1357,7 @@ 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;
 
@@ -827,9 +1378,7 @@ 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;
 
@@ -844,24 +1393,138 @@ DL d1,d2;
 		return cmpdl_revgradlex(n,d1,d2);
 }
 
-int cmpdl_order_pair(n,d1,d2)
-int n;
-DL d1,d2;
+int cmpdl_weyl_elim(int n,DL d1,DL d2)
 {
+	int e1,e2,i;
+
+	for ( i = 1, e1 = 0, e2 = 0; i <= dp_nelim; i++ ) {
+		e1 += d1->d[n-i]; e2 += d2->d[n-i];
+	}
+	if ( e1 > e2 )
+		return 1;
+	else if ( e1 < e2 )
+		return -1;
+	else if ( d1->td > d2->td )
+		return 1;
+	else if ( d1->td < d2->td )
+		return -1;
+	else return -cmpdl_revlex(n,d1,d2);
+}
+
+/*
+	a special ordering
+	1. total order
+	2. (-w,w) for the first 2*m variables
+	3. DRL for the first 2*m variables
+*/
+
+extern int *current_weyl_weight_vector;
+
+int cmpdl_homo_ww_drl(int n,DL d1,DL d2)
+{
+	int e1,e2,m,i;
+	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= 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);
+}
+
+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;
+	if ( n != dp_current_spec->nv )
+		error("cmpdl_order_pair : incompatible order specification");
+	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;
@@ -875,7 +1538,8 @@ 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;
@@ -895,23 +1559,90 @@ 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++ )
@@ -923,3 +1654,835 @@ DL d1,d2;
 	}
 	return 0;
 }
+
+int cmpdl_top_weight(int n,DL d1,DL d2)
+{
+	int *w;
+	N sum,wm,wma,t;
+	N *a;
+	struct oN tn;
+	int len,i,sgn,tsgn;
+	int *t1,*t2;
+
+	w = (int *)ALLOCA(n*sizeof(int));
+	len = current_top_weight_len+3;
+	t1 = d1->d; t2 = d2->d;
+	for ( i = 0; i < n; i++ ) w[i] = t1[i]-t2[i];
+	sum = (N)W_ALLOC(len); sgn = 0;
+	wm = (N)W_ALLOC(len);
+	wma = (N)W_ALLOC(len);
+	a = current_top_weight_vector;
+	for ( i = 0; i < n; i++ ) {
+		if ( !a[i] || !w[i] ) continue;
+		tn.p = 1;
+		if ( w[i] > 0 ) {
+			tn.b[0] = w[i]; tsgn = 1;
+		} else {
+			tn.b[0] = -w[i]; tsgn = -1;
+		}
+		_muln(a[i],&tn,wm);
+		if ( !sgn ) {
+			sgn = tsgn;
+			t = wm; wm = sum; sum = t;
+		} else if ( sgn == tsgn ) {
+			_addn(sum,wm,wma);
+			if ( !PL(wma) )
+				sgn = 0;
+			t = wma; wma = sum; sum = t;
+		} else {
+			sgn *= _subn(sum,wm,wma);
+			t = wma; wma = sum; sum = t;
+		}
+	}
+	if ( sgn > 0 ) return 1;
+	else if ( sgn < 0 ) return -1;
+	else return (*cmpdl_tie_breaker)(n,d1,d2);
+}
+
+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;
+	}
+}
+
+/*  DPV functions */
+
+void adddv(VL vl,DPV p1,DPV p2,DPV *pr)
+{
+	int i,len;
+	DP *e;
+
+	if ( !p1 || !p2 )
+		error("adddv : invalid argument");
+	else if ( p1->len != p2->len )
+		error("adddv : size mismatch");
+	else {
+		len = p1->len;
+		e = (DP *)MALLOC(p1->len*sizeof(DP));
+		for ( i = 0; i < len; i++ )
+			addd(vl,p1->body[i],p2->body[i],&e[i]);
+		MKDPV(len,e,*pr);
+		(*pr)->sugar = MAX(p1->sugar,p2->sugar);
+	}
+}
+
+void subdv(VL vl,DPV p1,DPV p2,DPV *pr)
+{
+	int i,len;
+	DP *e;
+
+	if ( !p1 || !p2 )
+		error("subdv : invalid argument");
+	else if ( p1->len != p2->len )
+		error("subdv : size mismatch");
+	else {
+		len = p1->len;
+		e = (DP *)MALLOC(p1->len*sizeof(DP));
+		for ( i = 0; i < len; i++ )
+			subd(vl,p1->body[i],p2->body[i],&e[i]);
+		MKDPV(len,e,*pr);
+		(*pr)->sugar = MAX(p1->sugar,p2->sugar);
+	}
+}
+
+void chsgndv(DPV p1,DPV *pr)
+{
+	int i,len;
+	DP *e;
+
+	if ( !p1 )
+		error("subdv : invalid argument");
+	else {
+		len = p1->len;
+		e = (DP *)MALLOC(p1->len*sizeof(DP));
+		for ( i = 0; i < len; i++ )
+			chsgnd(p1->body[i],&e[i]);
+		MKDPV(len,e,*pr);
+		(*pr)->sugar = p1->sugar;
+	}
+}
+
+void muldv(VL vl,DP p1,DPV p2,DPV *pr)
+{
+	int i,len;
+	DP *e;
+
+	len = p2->len;
+	e = (DP *)MALLOC(p2->len*sizeof(DP));
+	if ( !p1 ) {
+		MKDPV(len,e,*pr);
+		(*pr)->sugar = 0;
+	} else {
+		for ( i = 0; i < len; i++ )
+			muld(vl,p1,p2->body[i],&e[i]);
+		MKDPV(len,e,*pr);
+		(*pr)->sugar = p1->sugar + p2->sugar;	
+	}
+}
+
+int compdv(VL vl,DPV p1,DPV p2)
+{
+	int i,t,len;
+
+	if ( p1->len != p2->len )
+		error("compdv : size mismatch");
+	else {
+		len = p1->len;
+		for ( i = 0; i < len; i++ )
+			if ( t = compd(vl,p1->body[i],p2->body[i]) )
+				return t;
+		return 0;
+	}
+}
+
+int ni_next(int *a,int n)
+{
+	int i,j,k,kj;
+
+	/* find the first nonzero a[j] */
+	for ( j = 0; j < n && a[j] == 0; j++ );
+	/* find the first zero a[k] after a[j] */
+	for ( k = j; k < n && a[k] == 1; k++ );
+	if ( k == n ) return 0;
+	/* a[0] = 0, ... , a[j-1] = 0, a[j] = 1, ..., a[k-1] = 1, a[k] = 0 */
+	/* a[0] = 1,..., a[k-j-2] = 1, a[k-j-1] = 0, ..., a[k-1] = 0, a[k] = 1 */
+	kj = k-j-1;
+	for ( i = 0; i < kj; i++ ) a[i] = 1;
+	for ( ; i < k; i++ ) a[i] = 0;
+	a[k] = 1;
+	return 1;
+}
+
+int comp_nbm(NBM a,NBM b)
+{
+	int d,i,w,ai,bi;
+	int *ab,*bb;
+
+	if ( a->d > b->d ) return 1;
+	else if ( a->d < b->d ) return -1;
+	else {
+		d = a->d; ab = a->b; bb = b->b;
+#if 0
+		w = (d+31)/32;
+		for ( i = 0; i < w; i++ ) 
+			if ( ab[i] > bb[i] ) return 1;
+			else if ( ab[i] < bb[i] ) return -1;
+#else
+		for ( i = 0; i < d; i++ ) {
+			ai = NBM_GET(ab,i);
+			bi = NBM_GET(bb,i);
+			if ( ai > bi ) return 1;
+			else if ( ai < bi ) return -1;
+		}
+#endif
+		return 0;
+	}
+}
+
+NBM mul_nbm(NBM a,NBM b)
+{
+	int ad,bd,d,i,j;
+	int *ab,*bb,*mb;
+	NBM m;
+	NODE r;
+	NBP u;
+
+	ad = a->d; bd = b->d; ab = a->b; bb = b->b;
+	d = ad + bd;
+	NEWNBM(m); NEWNBMBDY(m,d);
+	m->d = d; mulp(CO,a->c,b->c,&m->c); mb = m->b; 
+	j = 0;
+	for ( i = 0; i < ad; i++, j++ )
+		if ( NBM_GET(ab,i) ) NBM_SET(mb,j);
+		else NBM_CLR(mb,j);
+	for ( i = 0; i < bd; i++, j++ )
+		if ( NBM_GET(bb,i) ) NBM_SET(mb,j);
+		else NBM_CLR(mb,j);
+	return m;
+}
+
+NBP nbmtonbp(NBM m)
+{
+	NODE n;
+	NBP u;
+
+	MKNODE(n,m,0);
+	MKNBP(u,n);
+	return u;
+}
+
+/* a=c*x*rest -> a0= x*rest, ah=x, ar=rest */
+
+P separate_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar)
+{
+	int i,d1;
+	NBM t;
+
+	if ( !a->d ) error("separate_nbm : invalid argument");
+
+	if ( a0 ) {
+		NEWNBM(t); t->d = a->d; t->b = a->b; t->c = (P)ONE;
+		*a0 = nbmtonbp(t);
+	}
+
+	if ( ah ) {
+		NEWNBM(t); NEWNBMBDY(t,1); t->d = 1; t->c = (P)ONE;
+		if ( NBM_GET(a->b,0) ) NBM_SET(t->b,0);
+		else NBM_CLR(t->b,0);
+		*ah = nbmtonbp(t);
+	}
+
+	if ( ar ) {
+		d1 = a->d-1;
+		NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = (P)ONE;
+		for ( i = 0; i < d1; i++ ) {
+			if ( NBM_GET(a->b,i+1) ) NBM_SET(t->b,i);
+			else NBM_CLR(t->b,i);
+		}
+		*ar = nbmtonbp(t);
+	}
+
+	return a->c;
+}
+
+/* a=c*rest*x -> a0= rest*x, ar=rest, at=x */
+
+P separate_tail_nbm(NBM a,NBP *a0,NBP *ar,NBP *at)
+{
+	int i,d,d1;
+	NBM t;
+
+	if ( !(d=a->d) ) error("separate_tail_nbm : invalid argument");
+
+	if ( a0 ) {
+		NEWNBM(t); t->d = a->d; t->b = a->b; t->c = (P)ONE;
+		*a0 = nbmtonbp(t);
+	}
+
+	d1 = a->d-1;
+	if ( at ) {
+		NEWNBM(t); NEWNBMBDY(t,1); t->d = 1; t->c = (P)ONE;
+		if ( NBM_GET(a->b,d1) ) NBM_SET(t->b,0);
+		else NBM_CLR(t->b,0);
+		*at = nbmtonbp(t);
+	}
+
+	if ( ar ) {
+		NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = (P)ONE;
+		for ( i = 0; i < d1; i++ ) {
+			if ( NBM_GET(a->b,i) ) NBM_SET(t->b,i);
+			else NBM_CLR(t->b,i);
+		}
+		*ar = nbmtonbp(t);
+	}
+
+	return a->c;
+}
+
+NBP make_xky(int k)
+{
+	int k1,i;
+	NBM t;
+
+	NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = (P)ONE;
+	k1 = k-1;
+	for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i);
+	NBM_CLR(t->b,i);
+	return nbmtonbp(t);
+}
+
+/* a=c*x^(k-1)*y*rest -> a0= x^(k-1)*y*rest, ah=x^(k-1)*y, ar=rest */
+
+P separate_xky_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar)
+{
+	int i,d1,k,k1;
+	NBM t;
+
+	if ( !a->d )
+		error("separate_nbm : invalid argument");
+	for ( i = 0; i < a->d && NBM_GET(a->b,i); i++ );
+	if ( i == a->d )
+		error("separate_nbm : invalid argument");
+	k1 = i;
+	k = i+1;
+
+	if ( a0 ) {
+		NEWNBM(t); t->d = a->d; t->b = a->b; t->c = (P)ONE;
+		*a0 = nbmtonbp(t);
+	}
+
+	if ( ah ) {
+		NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = (P)ONE;
+		for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i);
+		NBM_CLR(t->b,i);
+		*ah = nbmtonbp(t);
+	}
+
+	if ( ar ) {
+		d1 = a->d-k;
+		NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = (P)ONE;
+		for ( i = 0; i < d1; i++ ) {
+			if ( NBM_GET(a->b,i+k) ) NBM_SET(t->b,i);
+			else NBM_CLR(t->b,i);
+		}
+		*ar = nbmtonbp(t);
+	}
+
+	return a->c;
+}
+
+void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp);
+void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp);
+
+NBP shuffle_mul_nbm(NBM a,NBM b)
+{
+	NBP u,a0,ah,ar,b0,bh,br,a1,b1,t;
+	P ac,bc,c;
+
+	if ( !a->d || !b->d )
+		u = nbmtonbp(mul_nbm(a,b));
+	else {
+		ac = separate_nbm(a,&a0,&ah,&ar);
+		bc = separate_nbm(b,&b0,&bh,&br);
+		mulp(CO,ac,bc,&c);
+		shuffle_mulnbp(CO,ar,b0,&t); mulnbp(CO,ah,t,&a1);
+		shuffle_mulnbp(CO,a0,br,&t); mulnbp(CO,bh,t,&b1);
+		addnbp(CO,a1,b1,&t); mulnbp(CO,(NBP)c,t,&u);
+	}
+	return u;
+}
+
+NBP harmonic_mul_nbm(NBM a,NBM b)
+{
+	NBP u,a0,ah,ar,b0,bh,br,a1,b1,t,s,abk,ab1;
+	P ac,bc,c;
+
+	if ( !a->d || !b->d )
+		u = nbmtonbp(mul_nbm(a,b));
+	else {
+		mulp(CO,a->c,b->c,&c);
+		ac = separate_xky_nbm(a,&a0,&ah,&ar);
+		bc = separate_xky_nbm(b,&b0,&bh,&br);
+		mulp(CO,ac,bc,&c);
+		harmonic_mulnbp(CO,ar,b0,&t); mulnbp(CO,ah,t,&a1);
+		harmonic_mulnbp(CO,a0,br,&t); mulnbp(CO,bh,t,&b1);
+		abk = make_xky(((NBM)BDY(BDY(ah)))->d+((NBM)BDY(BDY(bh)))->d);
+		harmonic_mulnbp(CO,ar,br,&t); mulnbp(CO,abk,t,&ab1);
+		addnbp(CO,a1,b1,&t); addnbp(CO,t,ab1,&s); mulnbp(CO,(NBP)c,s,&u);
+	}
+	return u;
+
+}
+
+void addnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b1,b2,br,br0;
+	NBM m1,m2,m;
+	P c;
+
+	if ( !p1 )
+		*rp = p2;
+	else if ( !p2 )
+		*rp = p1;
+	else {
+		for ( b1 = BDY(p1), b2 = BDY(p2), br0 = 0; b1 && b2; ) {
+			m1 = (NBM)BDY(b1); m2 = (NBM)BDY(b2);
+			switch ( comp_nbm(m1,m2) ) {
+				case 0:
+					addp(CO,m1->c,m2->c,&c);
+					if ( c ) {
+						NEXTNODE(br0,br);
+						NEWNBM(m); m->d = m1->d; m->c = c; m->b = m1->b;
+						BDY(br) = (pointer)m;
+					}
+					b1 = NEXT(b1); b2 = NEXT(b2); break;
+				case 1:
+					NEXTNODE(br0,br); BDY(br) = BDY(b1);
+					b1 = NEXT(b1); break;
+				case -1:
+					NEXTNODE(br0,br); BDY(br) = BDY(b2);
+					b2 = NEXT(b2); break;
+			}
+		}
+		if ( !br0 )
+			if ( b1 )
+				br0 = b1;
+			else if ( b2 )
+				br0 = b2;
+			else {
+				*rp = 0;
+				return;
+			}
+		else if ( b1 )
+			NEXT(br) = b1;
+		else if ( b2 )
+				NEXT(br) = b2;
+		else
+			NEXT(br) = 0;
+		MKNBP(*rp,br0);
+	}
+}
+
+void subnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NBP t;
+
+	chsgnnbp(p2,&t);
+	addnbp(vl,p1,t,rp);
+}
+
+void chsgnnbp(NBP p,NBP *rp)
+{
+	NODE r0,r,b;
+	NBM m,m1;
+
+	for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) {
+		NEXTNODE(r0,r);
+		m = (NBM)BDY(b);
+		NEWNBM(m1); m1->d = m->d; m1->b = m->b; chsgnp(m->c,&m1->c);
+		BDY(r) = m1;
+	}
+	if ( r0 ) NEXT(r) = 0;
+	MKNBP(*rp,r0);
+}
+
+void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b,n;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) {
+		*rp = 0; return;
+	}
+	if ( OID(p1) != O_NBP ) {
+		if ( !POLY(p1) )
+			error("mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p1;	
+		MKNODE(n,m,0); MKNBP(p1,n);
+	}
+	if ( OID(p2) != O_NBP ) {
+		if ( !POLY(p2) )
+			error("mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p2;	
+		MKNODE(n,m,0); MKNBP(p2,n);
+	}
+	if ( length(BDY(p1)) < length(BDY(p2)) ) {
+		for ( r = 0, b = BDY(p1); b; b = NEXT(b) ) {
+			mulnbmnbp(vl,(NBM)BDY(b),p2,&t);
+			addnbp(vl,r,t,&s); r = s;
+		}
+		*rp = r;
+	} else {
+		for ( r = 0, b = BDY(p2); b; b = NEXT(b) ) {
+			mulnbpnbm(vl,p1,(NBM)BDY(b),&t);
+			addnbp(vl,r,t,&s); r = s;
+		}
+		*rp = r;
+	}
+}
+
+void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp)
+{
+	NODE b,r0,r;
+
+	if ( !p ) *rp = 0;
+	else {
+		for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) {
+			NEXTNODE(r0,r);
+			BDY(r) = mul_nbm(m,(NBM)BDY(b));
+		}
+		if ( r0 ) NEXT(r) = 0;
+		MKNBP(*rp,r0);
+	}
+}
+
+void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp)
+{
+	NODE b,r0,r;
+
+	if ( !p ) *rp = 0;
+	else {
+		for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) {
+			NEXTNODE(r0,r);
+			BDY(r) = mul_nbm((NBM)BDY(b),m);
+		}
+		if ( r0 ) NEXT(r) = 0;
+		MKNBP(*rp,r0);
+	}
+}
+
+void pwrnbp(VL vl,NBP a,Q q,NBP *c)
+{
+	int t;
+	NBP a1,a2;
+	N n1;
+	Q q1;
+	NBM m;
+	NODE r;
+
+	if ( !q ) {
+		 NEWNBM(m); m->d = 0; m->c = (P)ONE; m->b = 0;
+		 MKNODE(r,m,0); MKNBP(*c,r);
+	} else if ( !a )
+		*c = 0;
+	else if ( UNIQ(q) )
+		*c = a;
+	else {
+		t = divin(NM(q),2,&n1); NTOQ(n1,1,q1);
+		pwrnbp(vl,a,q1,&a1);
+		mulnbp(vl,a1,a1,&a2);
+		if ( t )
+			mulnbp(vl,a2,a,c);
+		else
+			*c = a2;
+	}
+}
+
+int compnbp(VL vl,NBP p1,NBP p2)
+{
+	NODE n1,n2;
+	NBM m1,m2;
+	int t;
+
+	if ( !p1 )
+		return p2 ? -1 : 0;
+	else if ( !p2 )
+		return 1;
+	else {
+		for ( n1 = BDY(p1), n2 = BDY(p2);
+			n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) {
+			m1 = (NBM)BDY(n1); m2 = (NBM)BDY(n2);
+			if ( (t = comp_nbm(m1,m2)) || (t = compp(CO,m1->c,m2->c) ) )
+				return t;
+		}
+		if ( n1 )
+			return 1;
+		else if ( n2 )
+			return -1;
+		else
+			return 0;
+	}
+}
+
+void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b1,b2,n;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) {
+		*rp = 0; return;
+	}
+	if ( OID(p1) != O_NBP ) {
+		if ( !POLY(p1) )
+			error("shuffle_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p1;	
+		MKNODE(n,m,0); MKNBP(p1,n);
+	}
+	if ( OID(p2) != O_NBP ) {
+		if ( !POLY(p2) )
+			error("shuffle_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p2;	
+		MKNODE(n,m,0); MKNBP(p2,n);
+	}
+	for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) )
+		for ( m = BDY(b1), b2 = BDY(p2); b2; b2 = NEXT(b2) ) {
+			t = shuffle_mul_nbm(m,(NBM)BDY(b2));
+			addnbp(vl,r,t,&s); r = s;
+		}
+	*rp = r;
+}
+
+void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b1,b2,n;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) {
+		*rp = 0; return;
+	}
+	if ( OID(p1) != O_NBP ) {
+		if ( !POLY(p1) )
+			error("harmonic_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p1;	
+		MKNODE(n,m,0); MKNBP(p1,n);
+	}
+	if ( OID(p2) != O_NBP ) {
+		if ( !POLY(p2) )
+			error("harmonic_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p2;	
+		MKNODE(n,m,0); MKNBP(p2,n);
+	}
+	for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) )
+		for ( m = BDY(b1), b2 = BDY(p2); b2; b2 = NEXT(b2) ) {
+			t = harmonic_mul_nbm(m,(NBM)BDY(b2));
+			addnbp(vl,r,t,&s); r = s;
+		}
+	*rp = r;
+}
+
+#if 0
+NBP shuffle_mul_nbm(NBM a,NBM b)
+{
+	int ad,bd,d,i,ai,bi,bit,s;
+	int *ab,*bb,*wmb,*w;
+	NBM wm,tm;
+	P c,c1;
+	NODE r,t,t1,p;
+	NBP u;
+
+	ad = a->d; bd = b->d; ab = a->b; bb = b->b;
+	d = ad + bd;
+	w = (int *)ALLOCA(d*sizeof(int));
+	NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
+	for ( i = 0; i < ad; i++ ) w[i] = 1;
+	for ( ; i < d; i++ ) w[i] = 0;
+	mulp(CO,a->c,b->c,&c);
+	r = 0;
+	do {
+		wm->d = d; wm->c = c;
+		ai = 0; bi = 0;
+		for ( i = 0; i < d; i++ ) {
+			if ( w[i] ) { bit = NBM_GET(ab,ai); ai++; }
+			else { bit = NBM_GET(bb,bi); bi++; }
+			if ( bit ) NBM_SET(wmb,i);
+			else NBM_CLR(wmb,i);
+		}
+		for ( p = 0, t = r; t; p = t, t = NEXT(t) ) {
+			tm = (NBM)BDY(t);
+			s = comp_nbm(tm,wm);
+			if ( s < 0 ) {
+				/* insert */
+				MKNODE(t1,wm,t);
+				if ( !p ) r = t1;
+				else NEXT(p) = t1;
+				NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
+				break;
+			} else if ( s == 0 ) {
+				/* add coefs */
+				addp(CO,tm->c,c,&c1);
+				if ( c1 ) tm->c = c1;
+				else NEXT(p) = NEXT(t);
+				break;
+			}
+		}
+		if ( !t ) {
+			/* append */
+			MKNODE(t1,wm,t);
+			if ( !p ) r = t1;
+			else NEXT(p) = t1;
+			NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
+		}
+	} while ( ni_next(w,d) );
+	MKNBP(u,r);
+	return u;
+}
+
+int nbmtoxky(NBM a,int *b)
+{
+	int d,i,j,k;
+	int *p;
+
+	d = a->d; p = a->b;
+	for ( i = j = 0, k = 1; i < d; i++ ) {
+		if ( !NBM_GET(p,i) ) {
+			b[j++] = k;
+			k = 1;
+		} else k++;
+	}
+	return j;
+}
+
+NBP harmonic_mul_nbm(NBM a,NBM b)
+{
+	int da,db,d,la,lb,lmax,lmin,l,lab,la1,lb1,lab1;
+	int i,j,k,ia,ib,s;
+	int *wa,*wb,*w,*wab,*wa1,*wmb;
+	P c,c1;
+	NBM wm,tm;
+	NODE r,t1,t,p;
+	NBP u;
+
+	da = a->d; db = b->d; d = da+db;
+	wa = (int *)ALLOCA(da*sizeof(int));
+	wb = (int *)ALLOCA(db*sizeof(int));
+	la = nbmtoxky(a,wa);
+	lb = nbmtoxky(b,wb);
+	mulp(CO,a->c,b->c,&c);
+	/* wa[0],..,wa[la-1] <-> x^wa[0]y x^wa[1]y .. */	
+	/* lmax : total length */
+	lmax = la+lb;
+	lmin = la>lb?la:lb;	
+	w = (int *)ALLOCA(lmax*sizeof(int));
+	/* position of a+b */
+	wab = (int *)ALLOCA(lmax*sizeof(int));
+	/* position of a */
+	wa1 = (int *)ALLOCA(lmax*sizeof(int));
+	NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
+	for ( l = lmin, r = 0; l <= lmax; l++ ) {
+		lab = lmax - l;
+		la1 = la - lab;
+		lb1 = lb - lab;
+		lab1 = l-lab;
+		/* partion l into three parts: a, b, a+b */
+		/* initialize wab */
+		for ( i = 0; i < lab; i++ ) wab[i] = 1;
+		for ( ; i < l; i++ ) wab[i] = 0;
+		do {
+			/* initialize wa1 */
+			for ( i = 0; i < la1; i++ ) wa1[i] = 1;
+			for ( ; i < lab1; i++ ) wa1[i] = 0;
+			do {
+				ia = 0; ib = 0;
+				for ( i = j = 0; i < l; i++ )
+					if ( wab[i] ) w[i] = wa[ia++]+wb[ib++];
+					else if ( wa1[j++] ) w[i] = wa[ia++];
+					else w[i] = wb[ib++];
+				for ( i = j = 0; i < l; i++ ) {
+					for ( k = w[i]-1; k > 0; k--, j++ ) NBM_SET(wmb,j);
+					NBM_CLR(wmb,j); j++;
+				}
+				wm->d = j; wm->c = c;
+				for ( p = 0, t = r; t; p = t, t = NEXT(t) ) {
+					tm = (NBM)BDY(t);
+					s = comp_nbm(tm,wm);
+					if ( s < 0 ) {
+						/* insert */
+						MKNODE(t1,wm,t);
+						if ( !p ) r = t1;
+						else NEXT(p) = t1;
+						NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
+						break;
+					} else if ( s == 0 ) {
+						/* add coefs */
+						addp(CO,tm->c,c,&c1);
+						if ( c1 ) tm->c = c1;
+						else NEXT(p) = NEXT(t);
+						break;
+					}
+				}
+				if ( !t ) {
+					/* append */
+					MKNODE(t1,wm,t);
+					if ( !p ) r = t1;
+					else NEXT(p) = t1;
+					NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
+				}
+			} while ( ni_next(wa1,lab1) );
+		} while ( ni_next(wab,l) );
+	}
+	MKNBP(u,r);
+	return u;
+}
+#endif