===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v
retrieving revision 1.31
retrieving revision 1.37
diff -u -p -r1.31 -r1.37
--- OpenXM_contrib2/asir2000/engine/dist.c	2004/05/14 06:02:54	1.31
+++ OpenXM_contrib2/asir2000/engine/dist.c	2005/11/26 01:28:12	1.37
@@ -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 1.30 2004/04/14 07:27:41 ohara Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.36 2005/11/25 07:18:32 noro Exp $ 
 */
 #include "ca.h"
 
@@ -596,10 +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;
 		}
@@ -1774,4 +1777,570 @@ int compdv(VL vl,DPV p1,DPV p2)
 				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;
+	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 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 */
+
+Q separate_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar)
+{
+	int i,d1;
+	NBM t;
+
+	if ( !a->d ) error("separate_nbm : invalid argument");
+
+	NEWNBM(t); t->d = a->d; t->b = a->b; t->c = ONE;
+	*a0 = nbmtonbp(t);
+
+	NEWNBM(t); NEWNBMBDY(t,1); t->d = 1; t->c = ONE;
+	if ( NBM_GET(a->b,0) ) NBM_SET(t->b,0);
+	else NBM_CLR(t->b,0);
+	*ah = nbmtonbp(t);
+
+	d1 = a->d-1;
+	NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = 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;
+}
+
+NBP make_xky(int k)
+{
+	int k1,i;
+	NBM t;
+
+	NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = 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 */
+
+Q 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;
+
+	NEWNBM(t); t->d = a->d; t->b = a->b; t->c = ONE;
+	*a0 = nbmtonbp(t);
+
+	NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = ONE;
+	for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i);
+	NBM_CLR(t->b,i);
+	*ah = nbmtonbp(t);
+
+	d1 = a->d-k;
+	NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = 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;
+}
+#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;
+	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;
+}
+#else
+void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+
+NBP shuffle_mul_nbm(NBM a,NBM b)
+{
+	NBP u,a0,ah,ar,b0,bh,br,a1,b1,t;
+	Q 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);
+		mulq(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;
+}
+#endif
+
+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;
+}
+
+#if 0
+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;
+}
+#else
+NBP harmonic_mul_nbm(NBM a,NBM b)
+{
+	NBP u,a0,ah,ar,b0,bh,br,a1,b1,t,s,abk,ab1;
+	Q ac,bc,c;
+
+	if ( !a->d || !b->d )
+		u = nbmtonbp(mul_nbm(a,b));
+	else {
+		mulq(a->c,b->c,&c);
+		ac = separate_xky_nbm(a,&a0,&ah,&ar);
+		bc = separate_xky_nbm(b,&b0,&bh,&br);
+		mulq(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;
+
+}
+#endif
+
+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,n;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) {
+		*rp = 0; return;
+	}
+	if ( OID(p1) != O_NBP ) {
+		if ( !NUM(p1) || !RATN(p1) ) 
+			error("mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1;	
+		MKNODE(n,m,0); MKNBP(p1,n);
+	}
+	if ( OID(p2) != O_NBP ) {
+		if ( !NUM(p2) || !RATN(p2) ) 
+			error("mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)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 = 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,n;
+	NBP r,t,s;
+	NBM m;
+
+	if ( !p1 || !p2 ) {
+		*rp = 0; return;
+	}
+	if ( OID(p1) != O_NBP ) {
+		if ( !NUM(p1) || !RATN(p1) ) 
+			error("shuffle_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1;	
+		MKNODE(n,m,0); MKNBP(p1,n);
+	}
+	if ( OID(p2) != O_NBP ) {
+		if ( !NUM(p2) || !RATN(p2) ) 
+			error("shuffle_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)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 ( !NUM(p1) || !RATN(p1) ) 
+			error("harmonic_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1;	
+		MKNODE(n,m,0); MKNBP(p1,n);
+	}
+	if ( OID(p2) != O_NBP ) {
+		if ( !NUM(p2) || !RATN(p2) ) 
+			error("harmonic_mulnbp : invalid argument");
+		NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)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;
 }