===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v
retrieving revision 1.26
retrieving revision 1.34
diff -u -p -r1.26 -r1.34
--- OpenXM_contrib2/asir2000/engine/dist.c	2003/08/22 08:14:45	1.26
+++ OpenXM_contrib2/asir2000/engine/dist.c	2005/11/24 08:16:03	1.34
@@ -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 1.25 2003/07/09 07:11:08 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.33 2005/11/16 23:42:53 noro Exp $ 
 */
 #include "ca.h"
 
@@ -72,7 +72,8 @@ int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_
 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;
 
 void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
@@ -80,6 +81,15 @@ 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);
 
+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;
@@ -111,6 +121,10 @@ int has_sfcoef_p(P f)
 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));	
@@ -151,7 +165,7 @@ void initd(struct order_spec *spec)
 			}
 			break;
 	}
-	dp_current_spec = *spec;
+	dp_current_spec = spec;
 }
 
 void ptod(VL vl,VL dvl,P p,DP *pr)
@@ -286,12 +300,23 @@ 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:
@@ -571,10 +596,13 @@ void subd(VL vl,DP p1,DP p2,DP *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;
 		}
@@ -1467,8 +1495,8 @@ int cmpdl_order_pair(int n,DL d1,DL d2)
 	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++ ) {
@@ -1517,6 +1545,75 @@ int cmpdl_order_pair(int n,DL d1,DL d2)
 	return 0;
 }
 
+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;
@@ -1525,8 +1622,8 @@ int cmpdl_matrix(int n,DL d1,DL d2)
 
 	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++ )
@@ -1589,5 +1686,494 @@ DL remove_head_bucket(GeoBucket g,int nv)
 		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; 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;
+	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;
+		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;
+		return 0;
+	}
+}
+
+NBM mul_nbm(NBM a,NBM b)
+{
+	int ad,bd,d,i,j;
+	int *ab,*bb,*mb;
+	NBM m;
+	Q c,c1;
+	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; mulq(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 shuffle_mul_nbm(NBM a,NBM b)
+{
+	int ad,bd,d,i,ai,bi,bit,s;
+	int *ab,*bb,*wmb,*w;
+	NBM wm,tm;
+	Q 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;
+	mulq(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 */
+				addq(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;
+			i++;
+		} 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;
+	Q 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);
+	mulq(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 */
+						addq(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;
+}
+
+void addnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b1,b2,br,br0;
+	NBM m1,m2,m;
+	Q 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:
+					addq(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; chsgnq(m->c,&m1->c);
+		BDY(r) = m1;
+	}
+	if ( r0 ) NEXT(r) = 0;
+	MKNBP(*rp,r0);
+}
+
+void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp);
+void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp);
+
+void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b;
+	NBP r,t,s;
+
+	if ( !p1 || !p2 ) *rp = 0;
+	else 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 = 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;
+	}
+}
+
+void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
+{
+	NODE b1,b2;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) *rp = 0;
+	else {
+		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;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) *rp = 0;
+	else {
+		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;
 	}
 }