===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/Mgfs.c,v
retrieving revision 1.1
retrieving revision 1.11
diff -u -p -r1.1 -r1.11
--- OpenXM_contrib2/asir2000/engine/Mgfs.c	2001/06/20 09:32:13	1.1
+++ OpenXM_contrib2/asir2000/engine/Mgfs.c	2001/10/09 01:36:10	1.11
@@ -1,12 +1,65 @@
-/* $OpenXM$ */
+/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.10 2001/09/03 01:04:26 noro Exp $ */
 
 #include "ca.h"
 
-void mulssfum(UM,int,UM);
+extern int up_kara_mag, current_gfs_q1;
+extern int *current_gfs_plus1;
 
-void addsfum(p1,p2,pr)
-UM p1,p2,pr;
+#if defined(__GNUC__)
+#define INLINE inline
+#elif defined(VISUAL)
+#define INLINE __inline
+#else
+#define INLINE
+#endif
+
+INLINE int _ADDSF(int a,int b)
 {
+	if ( !a )
+		return b;
+	else if ( !b )
+		return a;
+
+	a = IFTOF(a); b = IFTOF(b);
+	if ( a > b ) {
+		/* tab[a]+tab[b] = tab[b](tab[a-b]+1) */
+		a = current_gfs_plus1[a-b];
+		if ( a < 0 )
+			return 0;
+		else {
+			a += b;
+			if ( a >= current_gfs_q1 )
+				a -= current_gfs_q1;
+			return FTOIF(a);
+		}
+	} else {
+		/* tab[a]+tab[b] = tab[a](tab[b-a]+1) */
+		b = current_gfs_plus1[b-a];
+		if ( b < 0 )
+			return 0;
+		else {
+			b += a;
+			if ( b >= current_gfs_q1 )
+				b -= current_gfs_q1;
+			return FTOIF(b);
+		}
+	}
+}
+
+INLINE int _MULSF(int a,int b)
+{
+	if ( !a || !b )
+		return 0;
+	else {
+		a = IFTOF(a) + IFTOF(b);
+		if ( a >= current_gfs_q1 )
+			a -= current_gfs_q1;
+		return FTOIF(a);
+	}
+}
+
+void addsfum(UM p1,UM p2,UM pr)
+{
 	int *c1,*c2,*cr,i,dmax,dmin;
 		
 	if ( DEG(p1) == -1 ) {
@@ -23,7 +76,7 @@ UM p1,p2,pr;
 		c1 = COEF(p2); c2 = COEF(p1); dmax = DEG(p2); dmin = DEG(p1);
 	}
 	for ( i = 0, cr = COEF(pr); i <= dmin; i++ ) 
-		cr[i] = _addsf(c1[i],c2[i]);
+		cr[i] = _ADDSF(c1[i],c2[i]);
 	for ( ; i <= dmax; i++ ) 
 		cr[i] = c1[i];
 	if ( dmax == dmin ) 
@@ -32,8 +85,7 @@ UM p1,p2,pr;
 		DEG(pr) = dmax;
 }
 
-void subsfum(p1,p2,pr)
-UM p1,p2,pr;
+void subsfum(UM p1,UM p2,UM pr)
 {
 	int *c1,*c2,*cr,i;
 	int dmax,dmin;
@@ -68,8 +120,7 @@ UM p1,p2,pr;
 		DEG(pr) = dmax;
 }
 		
-void gcdsfum(p1,p2,pr)
-UM p1,p2,pr;
+void gcdsfum(UM p1,UM p2,UM pr)
 {
 	int inv;
 	UM t1,t2,q,tum;
@@ -93,8 +144,8 @@ UM p1,p2,pr;
 		mulssfum(t2,inv,pr);
 	}
 }
-void mulsfum(p1,p2,pr)
-UM p1,p2,pr;
+
+void mulsfum(UM p1,UM p2,UM pr)
 {
 	int *pc1,*pcr;
 	int *c1,*c2,*cr;
@@ -110,25 +161,104 @@ UM p1,p2,pr;
 	for ( i = 0; i <= d2; i++, cr++ ) 
 		if ( mul = *c2++ ) 
 			for ( j = 0, pc1 = c1, pcr = cr; j <= d1; j++, pc1++, pcr++ )
-				*pcr = _addsf(_mulsf(*pc1,mul),*pcr);
+				if ( *pc1 )
+					*pcr = _ADDSF(_MULSF(*pc1,mul),*pcr);
 	DEG(pr) = d1 + d2;
 }
 
-void mulssfum(p,n,pr)
-int n;
-UM p,pr;
+void mulssfum(UM p,int n,UM pr)
 {
 	int *sp,*dp;
 	int i;
 
 	for ( i = DEG(pr) = DEG(p), sp = COEF(p)+i, dp = COEF(pr)+i; 
 		  i >= 0; i--, dp--, sp-- )
-		*dp = _mulsf(*sp,n);
+		*dp = _MULSF(*sp,n);
 }
 	
-int divsfum(p1,p2,pq)
-UM p1,p2,pq;
+void kmulsfum(UM n1,UM n2,UM nr)
 {
+	UM n,t,s,m,carry;
+	int d,d1,d2,len,i,l;
+	unsigned int *r,*r0;
+
+	if ( !n1 || !n2 ) {
+		nr->d = -1; return;
+	}
+	d1 = DEG(n1)+1; d2 = DEG(n2)+1;
+	if ( (d1 < up_kara_mag) || (d2 < up_kara_mag) ) {
+		mulsfum(n1,n2,nr); return;
+	}
+	if ( d1 < d2 ) {
+		n = n1; n1 = n2; n2 = n;
+		d = d1; d1 = d2; d2 = d;
+	}
+	if ( d2 > (d1+1)/2 ) {
+		kmulsfummain(n1,n2,nr); return;
+	}
+	d = (d1/d2)+((d1%d2)!=0);
+	len = (d+1)*d2;
+	r0 = (unsigned int *)ALLOCA(len*sizeof(int));
+	bzero((char *)r0,len*sizeof(int));
+	m = W_UMALLOC(d2+1);
+	carry = W_UMALLOC(d2+1);
+	t = W_UMALLOC(d1+d2+1);
+	s = W_UMALLOC(d1+d2+1);
+	for ( DEG(carry) = -1, i = 0, r = r0; i < d; i++, r += d2 ) {
+		extractum(n1,i*d2,d2,m);
+		if ( m ) {
+			kmulsfum(m,n2,t);
+			addsfum(t,carry,s);
+			c_copyum(s,d2,r);
+			extractum(s,d2,d2,carry);
+		} else {
+			c_copyum(carry,d2,r);
+			carry = 0;
+		}
+	}
+	c_copyum(carry,d2,r);
+	for ( l = len - 1; !r0[l]; l-- );
+	l++;
+	DEG(nr) = l-1;
+	bcopy((char *)r0,(char *)COEF(nr),l*sizeof(int));
+}
+
+void kmulsfummain(UM n1,UM n2,UM nr)
+{
+	int d1,d2,h,len;
+	UM n1lo,n1hi,n2lo,n2hi,hi,lo,mid1,mid2,mid,s1,s2,t1,t2;
+
+	d1 = DEG(n1)+1; d2 = DEG(n2)+1; h = (d1+1)/2;
+	n1lo = W_UMALLOC(d1+1); n1hi = W_UMALLOC(d1+1);
+	n2lo = W_UMALLOC(d2+1); n2hi = W_UMALLOC(d2+1);
+	lo = W_UMALLOC(d1+d2+1); hi = W_UMALLOC(d1+d2+1);
+	mid1 = W_UMALLOC(d1+d2+1); mid2 = W_UMALLOC(d1+d2+1);
+	mid = W_UMALLOC(d1+d2+1);
+	s1 = W_UMALLOC(d1+d2+1); s2 = W_UMALLOC(d1+d2+1);
+	extractum(n1,0,h,n1lo); extractum(n1,h,d1-h,n1hi);
+	extractum(n2,0,h,n2lo); extractum(n2,h,d2-h,n2hi);
+	kmulsfum(n1hi,n2hi,hi); kmulsfum(n1lo,n2lo,lo);
+	len = DEG(hi)+1+2*h; t1 = W_UMALLOC(len-1); DEG(t1) = len-1;
+	bzero((char *)COEF(t1),len*sizeof(int));
+	if ( lo )
+		bcopy((char *)COEF(lo),(char *)COEF(t1),(DEG(lo)+1)*sizeof(int));
+	if ( hi )
+		bcopy((char *)COEF(hi),(char *)(COEF(t1)+2*h),(DEG(hi)+1)*sizeof(int));
+
+	addsfum(hi,lo,mid1);
+	subsfum(n1hi,n1lo,s1); subsfum(n2lo,n2hi,s2);
+	kmulsfum(s1,s2,mid2); addsfum(mid1,mid2,mid);
+	if ( mid ) {
+		len = DEG(mid)+1+h; t2 = W_UMALLOC(len-1); DEG(t2) = len-1;
+		bzero((char *)COEF(t2),len*sizeof(int));
+		bcopy((char *)COEF(mid),(char *)(COEF(t2)+h),(DEG(mid)+1)*sizeof(int));
+		addsfum(t1,t2,nr);
+	} else
+		copyum(t1,nr);
+}
+
+int divsfum(UM p1,UM p2,UM pq)
+{
 	int *pc1,*pct;
 	int *c1,*c2,*ct;
 	int inv,hd,tmp;
@@ -142,20 +272,20 @@ UM p1,p2,pq;
 	if ( ( hd = c2[d2] ) != _onesf() ) {
 		inv = _invsf(hd);
 		for ( pc1 = c2 + d2; pc1 >= c2; pc1-- )
-			*pc1 = _mulsf(*pc1,inv);
+			*pc1 = _MULSF(*pc1,inv);
 	} else 
 		inv = _onesf();
 	for ( i = dd, ct = c1+d1; i >= 0; i-- ) 
 		if ( tmp = *ct-- ) {
 			tmp = _chsgnsf(tmp);
 			for ( j = d2-1, pct = ct, pc1 = c2+j; j >= 0; j--, pct--, pc1-- )
-				*pct = _addsf(_mulsf(*pc1,tmp),*pct);
+				*pct = _ADDSF(_MULSF(*pc1,tmp),*pct);
 		}
 	if ( inv != _onesf() ) {
 		for ( pc1 = c1+d2, pct = c1+d1; pc1 <= pct; pc1++ )
-			*pc1 = _mulsf(*pc1,inv);
+			*pc1 = _MULSF(*pc1,inv);
 		for ( pc1 = c2, pct = c2+d2; pc1 <= pct; pc1++ )
-			*pc1 = _mulsf(*pc1,hd);
+			*pc1 = _MULSF(*pc1,hd);
 	}
 	for ( i = d2-1, pc1 = c1+i; i >= 0 && !(*pc1); pc1--, i-- );
 	for ( DEG(pq) = j = dd, pc1 = c1+d1, pct = COEF(pq)+j; j >= 0; j-- )
@@ -163,21 +293,19 @@ UM p1,p2,pq;
 	return i;
 }
 
-void diffsfum(f,fd)
-UM f,fd;
+void diffsfum(UM f,UM fd)
 {
 	int *dp,*sp;
 	int i;
 
 	for ( i = DEG(f), dp = COEF(fd)+i-1, sp = COEF(f)+i; 
 		i >= 1; i--, dp--, sp-- ) {
-		*dp = _mulsf(*sp,_itosf(i));
+		*dp = _MULSF(*sp,_itosf(i));
 	}
 	degum(fd,DEG(f) - 1);
 }
 
-void monicsfum(f)
-UM f;
+void monicsfum(UM f)
 {
 	int *sp;
 	int i,inv;
@@ -185,5 +313,228 @@ UM f;
 	i = DEG(f); sp = COEF(f)+i;
 	inv = _invsf(*sp);
 	for ( ; i >= 0; i--, sp-- )
-		*sp = _mulsf(*sp,inv);
+		*sp = _MULSF(*sp,inv);
+}
+
+int compsfum(UM a,UM b)
+{
+	int i,da,db;
+
+	if ( !a )
+		return !b?0:1;
+	else if ( !b )
+		return 1;
+	else if ( (da = DEG(a)) > (db = DEG(b)) )
+		return 1;
+	else if ( da < db )
+		return -1;
+	else {
+		for ( i = da; i >= 0 && COEF(a)[i] == COEF(b)[i]; i-- );
+		if ( i < 0 )
+			return 0;
+		else if ( (unsigned int)COEF(a)[i] > (unsigned int)COEF(b)[i] )
+			return 1;
+		else
+			return -1;
+	}
+}
+
+void addsfarray(int,int *,int *);
+void mulsfarray_trunc(int,int *,int *,int *);
+
+/* f1 = f1->c[0]+f1->c[1]*y+...,  f2 = f2->c[0]+f2->c[1]*y+... mod y^n */
+
+void mulsfbm(BM f1,BM f2,BM fr)
+{
+	UM mul,t,s;
+	int i,j,d1,d2,dy;
+
+	dy = MIN(DEG(f1),DEG(f2));
+
+	d1 = degbm(f1);
+	d2 = degbm(f2);
+	t = W_UMALLOC(d1+d2);
+	s = W_UMALLOC(d1+d2);
+
+	for ( i = 0; i <= dy; i++ ) {
+		mul = COEF(f2)[i];
+		if ( DEG(mul) >= 0 )
+		for ( j = 0; i+j <= dy; j++ ) {
+			if ( COEF(f1)[j] ) {
+				kmulsfum(COEF(f1)[j],mul,t);
+				addsfum(t,COEF(fr)[i+j],s);
+				cpyum(s,COEF(fr)[i+j]);
+			}
+		}
+	}
+	DEG(fr) = dy;
+}
+
+int degbm(BM f)
+{
+	int d,i,dy;
+
+	dy = DEG(f);
+	d = DEG(COEF(f)[0]);
+	for ( i = 1; i <= dy; i++ )
+		d = MAX(DEG(COEF(f)[i]),d);
+	return d;
+}
+
+/* g += f */
+
+void addtosfbm(BM f,BM g)
+{
+	int i,d1,d2,dy;
+	UM t;
+
+	dy = DEG(g);
+	if ( DEG(f) > dy )
+		error("addtosfbm : invalid input");
+	dy = MIN(DEG(f),dy);
+	d1 = degbm(f);
+	d2 = degbm(g);
+	t = W_UMALLOC(MAX(d1,d2));
+	for ( i = 0; i <= dy; i++ ) {
+		addsfum(COEF(f)[i],COEF(g)[i],t);
+		cpyum(t,COEF(g)[i]);
+	}
+}
+
+void eucsfum(UM f1,UM f2,UM a,UM b)
+{
+	UM g1,g2,a1,a2,a3,wm,q,tum;
+	int d,dr;
+
+	/* XXX */
+	d = DEG(f1) + DEG(f2) + 10;
+	g1 = W_UMALLOC(d); g2 = W_UMALLOC(d); a1 = W_UMALLOC(d);
+	a2 = W_UMALLOC(d); a3 = W_UMALLOC(d); wm = W_UMALLOC(d);
+	q = W_UMALLOC(d);
+	DEG(a1) = 0; COEF(a1)[0] = _onesf(); DEG(a2) = -1;
+	cpyum(f1,g1); cpyum(f2,g2);
+	while ( 1 ) {
+		dr = divsfum(g1,g2,q); tum = g1; g1 = g2; g2 = tum;
+		if ( ( DEG(g2) = dr ) == -1 ) 
+			break;
+		mulsfum(a2,q,wm); subsfum(a1,wm,a3); dr = divsfum(a3,f2,q);
+		tum = a1; a1 = a2; a2 = a3; a3 = tum; DEG(a3) = dr;
+	}
+	if ( COEF(g1)[0] != _onesf() )
+		mulssfum(a2,_invsf(COEF(g1)[0]),a);
+	else 
+		cpyum(a2,a);
+	mulsfum(a,f1,wm);
+	if ( DEG(wm) >= 0 ) 
+		COEF(wm)[0] = _subsf(COEF(wm)[0],_onesf());
+	else {
+		DEG(wm) = 0; COEF(wm)[0] = _chsgnsf(_onesf());
+	}
+	divsfum(wm,f2,q); mulssfum(q,_chsgnsf(_onesf()),b);
+}
+
+void shiftsfum(UM,int,UM);
+
+void shiftsflum(int n,LUM f,int ev)
+{
+	int d,i,j;
+	UM w,w1;
+	int *coef;
+	int **c;
+
+	d = f->d;
+	c = f->c;
+	w = W_UMALLOC(n);
+	w1 = W_UMALLOC(n);
+	for ( i = 0; i <= d; i++ ) { 
+		coef = c[i];
+		for ( j = n-1; j >= 0 && coef[j] == 0; j-- );
+		if ( j <= 0 )
+			continue;	
+		DEG(w) = j; bcopy(coef,COEF(w),(j+1)*sizeof(int));
+		shiftsfum(w,ev,w1);
+		bcopy(COEF(w1),coef,(j+1)*sizeof(int));
+	}
+}
+
+/* f(x) -> g(x) = f(x+a) */
+
+void shiftsfum(UM f,int a,UM g)
+{
+	int n,i;
+	UM pwr,xa,w,t;
+	int *c;
+
+	n = DEG(f);
+	if ( n <= 0 )
+		cpyum(f,g);
+	else {
+		c = COEF(f);
+
+		/* g = 0 */
+		DEG(g) = -1;
+
+		/* pwr = 1 */
+		pwr = W_UMALLOC(n); DEG(pwr) = 0; COEF(pwr)[0] = _onesf();
+
+		/* xa = x+a */
+		xa = W_UMALLOC(n); DEG(xa) = 1; 
+		COEF(xa)[0] = a; COEF(xa)[1] = _onesf();
+
+		w = W_UMALLOC(n);
+		t = W_UMALLOC(n);
+
+		/* g += pwr*c[0] */
+		for ( i = 0; i <= n; i++ ) {
+			mulssfum(pwr,c[i],w); addsfum(g,w,t); cpyum(t,g);
+			if ( i < n ) {
+				mulsfum(pwr,xa,t); cpyum(t,pwr);
+			}
+		}
+	}
+}
+
+/* f(y) -> f(y+a) */
+
+void shiftsfbm(BM f,int a)
+{
+	int i,j,d,dy;
+	UM pwr,ya,w,t,s;
+	UM *c;
+
+	dy = DEG(f);
+	c = COEF(f);
+	d = degbm(f);
+
+	w = W_UMALLOC(d);
+	t = W_UMALLOC(d);
+	s = W_UMALLOC(dy);
+
+	/* pwr = 1 */
+	pwr = W_UMALLOC(dy); DEG(pwr) = 0; COEF(pwr)[0] = _onesf();
+
+	/* ya = y+a */
+	ya = W_UMALLOC(1); DEG(ya) = 1; 
+	COEF(ya)[0] = a; COEF(ya)[1] = _onesf();
+
+	for ( i = 0; i <= dy; i++ ) {
+		/* c[i] does not change */
+		for ( j = 0; j < i; j++ ) {
+			mulssfum(c[i],COEF(pwr)[j],w);
+			addsfum(w,c[j],t); cpyum(t,c[j]);
+		}
+		if ( i < dy ) {
+			mulsfum(pwr,ya,s); cpyum(s,pwr);
+		}
+	}
+}
+
+void clearbm(int n,BM f)
+{
+	int i,dy;
+	UM *c;
+
+	dy = DEG(f);
+	for ( c = COEF(f), i = 0; i <= dy; i++ )
+		clearum(c[i],n);
 }