===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v
retrieving revision 1.1.1.1
retrieving revision 1.5
diff -u -p -r1.1.1.1 -r1.5
--- OpenXM_contrib2/asir2000/engine/dist.c	1999/12/03 07:39:08	1.1.1.1
+++ OpenXM_contrib2/asir2000/engine/dist.c	2000/05/29 08:54:46	1.5
@@ -1,4 +1,4 @@
-/* $OpenXM: OpenXM/src/asir99/engine/dist.c,v 1.1.1.1 1999/11/10 08:12:26 noro Exp $ */
+/* $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.4 2000/04/25 04:07:59 noro Exp $ */
 #include "ca.h"
 
 #define NV(p) ((p)->nv)
@@ -18,6 +18,14 @@
 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,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;
 int *dp_dl_work;
@@ -130,7 +138,7 @@ DP *pr;
 					ptod(vl,dvl,COEF(dc),&t);
 					NEWDL(d,n); d->td = QTOS(DEG(dc)); d->d[i] = d->td;
 					NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td;
-					muld(vl,t,u,&r); addd(vl,r,s,&t); s = t;
+					comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t;
 				}
 				*pr = s;
 			}
@@ -307,6 +315,59 @@ DP p1,p2,*pr;
 	}
 }
 
+/* 
+ * destructive merge of two list
+ *
+ * p1, p2 : list of DL
+ * return : a merged list
+ */
+
+NODE symb_merge(m1,m2,n)
+NODE m1,m2;
+int n;
+{
+	NODE top,prev,cur,m,t;
+
+	if ( !m1 )
+		return m2;
+	else if ( !m2 )
+		return m1;
+	else {
+		switch ( (*cmpdl)(n,(DL)BDY(m1),(DL)BDY(m2)) ) {
+			case 0:
+				top = m1; m = NEXT(m2);
+				break;
+			case 1:
+				top = m1; m = m2;
+				break;
+			case -1:
+				top = m2; m = m1;
+				break;
+		}
+		prev = top; cur = NEXT(top);
+		/* BDY(prev) > BDY(m) always holds */
+		while ( cur && m ) {
+			switch ( (*cmpdl)(n,(DL)BDY(cur),(DL)BDY(m)) ) {
+				case 0:
+					m = NEXT(m);
+					prev = cur; cur = NEXT(cur);
+					break;
+				case 1:
+					t = NEXT(cur); NEXT(cur) = m; m = t;
+					prev = cur; cur = NEXT(cur);
+					break;
+				case -1:
+					NEXT(prev) = m; m = cur;
+					prev = NEXT(prev); cur = NEXT(prev);
+					break;
+			}
+		}
+		if ( !cur )
+			NEXT(prev) = m;
+		return top;
+	}
+}
+
 void subd(vl,p1,p2,pr)
 VL vl;
 DP p1,p2,*pr;
@@ -341,8 +402,21 @@ void muld(vl,p1,p2,pr)
 VL vl;
 DP p1,p2,*pr;
 {
+	if ( ! do_weyl )
+		comm_muld(vl,p1,p2,pr);
+	else
+		weyl_muld(vl,p1,p2,pr);
+}
+
+void comm_muld(vl,p1,p2,pr)
+VL vl;
+DP p1,p2,*pr;
+{
 	MP m;
 	DP s,t,u;
+	int i,l,l1;
+	static MP *w;
+	static int wlen;
 
 	if ( !p1 || !p2 )
 		*pr = 0;
@@ -351,9 +425,23 @@ 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;
 	}
 }
@@ -384,6 +472,162 @@ DP *pr;
 		NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
 		if ( *pr )
 			(*pr)->sugar = p->sugar + m0->dl->td;
+	}
+}
+
+void weyl_muld(vl,p1,p2,pr)
+VL vl;
+DP p1,p2,*pr;
+{
+	MP m;
+	DP s,t,u;
+	int i,l;
+	static MP *w;
+	static int wlen;
+
+	if ( !p1 || !p2 )
+		*pr = 0;
+	else if ( OID(p1) <= O_P )
+		muldc(vl,p2,(P)p1,pr);
+	else if ( OID(p2) <= O_P )
+		muldc(vl,p1,(P)p2,pr);
+	else {
+		for ( m = BDY(p2), 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(p2), i = 0; i < l; m = NEXT(m), i++ )
+			w[i] = m;
+		for ( s = 0, i = l-1; i >= 0; i-- ) {
+			weyl_muldm(vl,p1,w[i],&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;
+{
+	DP r,t,t1;
+	MP m;
+	int n,l,i;
+	static MP *w;
+	static int wlen;
+
+	if ( !p )
+		*pr = 0;
+	else {
+		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;
+		for ( r = 0, i = l-1, n = NV(p); i >= 0; i-- ) {
+			weyl_mulmm(vl,w[i],m0,n,&t);
+			addd(vl,r,t,&t1); r = t1;
+		}
+		bzero(w,l*sizeof(MP));
+		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)*... */
+
+void weyl_mulmm(vl,m0,m1,n,pr)
+VL vl;
+MP m0,m1;
+int n;
+DP *pr;
+{
+	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,h;
+	static Q *tab;
+	static int tablen;
+
+	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;
+		if ( n & 1 ) { 
+			/* homogenized computation; dx-xd=h^2 */
+			/* offset of h-degree */
+			NEWDL(d,n); d->d[n-1] = d0->d[n-1]+d1->d[n-1]; d->td = d->d[n-1];
+			NEWMP(mr); mr->c = (P)ONE; mr->dl = d;
+			MKDP(n,mr,r); r->sugar = d->d[n-1];
+
+			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 */
+				h = a+k+l+b;
+				/* compute xi^a*(Di^k*xi^l)*Di^b */
+				min = MIN(k,l);
+
+				if ( min+1 > tablen ) {
+					if ( tab ) GC_free(tab);
+					tab = (Q *)MALLOC((min+1)*sizeof(Q));
+					tablen = min+1;
+				}
+				mkwc(k,l,tab);
+				for ( mr0 = 0, j = 0; j <= min; j++ ) {
+					NEXTMP(mr0,mr);
+					NEWDL(d,n);
+					d->d[i] = l-j+a; d->d[n2+i] = k-j+b;
+					d->td = h;
+					d->d[n-1] = h-(d->d[i]+d->d[n2+i]); 
+					mr->c = (P)tab[j];
+					mr->dl = d;
+				}
+				bzero(tab,(min+1)*sizeof(Q));
+				if ( mr0 )
+					NEXT(mr) = 0;
+				MKDP(n,mr0,t);
+				if ( t )
+					t->sugar = h;
+				comm_muld(vl,r,t,&t1); r = t1;
+			}
+		} else 
+			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);
+					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;
+				}
+				if ( mr0 )
+					NEXT(mr) = 0;
+				MKDP(n,mr0,t);
+				if ( t )
+					t->sugar = s;
+				comm_muld(vl,r,t,&t1); r = t1;
+			}
+		muldc(vl,r,c,pr);
 	}
 }