===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/F.c,v
retrieving revision 1.1.1.1
retrieving revision 1.9
diff -u -p -r1.1.1.1 -r1.9
--- OpenXM_contrib2/asir2000/engine/F.c	1999/12/03 07:39:08	1.1.1.1
+++ OpenXM_contrib2/asir2000/engine/F.c	2001/07/04 07:19:19	1.9
@@ -1,9 +1,60 @@
-/* $OpenXM: OpenXM/src/asir99/engine/F.c,v 1.1.1.1 1999/11/10 08:12:26 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/F.c,v 1.8 2001/05/28 08:25:31 noro Exp $ 
+*/
 #include "ca.h"
 #include <math.h>
 
 void homfctr();
+void mfctr_wrt_v();
 
+int use_new_hensel;
+
 void fctrp(vl,f,dcp)
 VL vl;
 P f;
@@ -27,6 +78,30 @@ DCP *dcp;
 	}
 }
 
+void fctr_wrt_v_p(vl,f,v,dcp)
+VL vl;
+P f;
+V v;
+DCP *dcp;
+{
+	VL nvl;
+	DCP dc;
+
+	if ( !f || NUM(f) ) {
+		NEWDC(dc); COEF(dc) = f; DEG(dc) = ONE;
+		NEXT(dc) = 0; *dcp = dc;
+		return;
+	} else if ( !qpcheck((Obj)f) )
+		error("fctrp : invalid argument");	
+	else {
+		clctv(vl,f,&nvl);
+		if ( !NEXT(nvl) ) 
+			ufctr(f,1,dcp);
+		else
+			mfctr_wrt_v(nvl,f,v,dcp);
+	}
+}
+
 void homfctr(vl,g,dcp)
 VL vl;
 P g;
@@ -90,6 +165,46 @@ DCP *dcp;
 	adjsgn(f,dc0); *dcp = dc0;
 }
 
+void mfctr_wrt_v(vl,f,v,dcp)
+VL vl;
+P f;
+V v;
+DCP *dcp;
+{
+	DCP dc,dc0,dct,dcs,dcr;
+	P p,pmin,ppmin,cmin,t;
+	VL nvl,mvl;
+	Q c;
+
+	ptozp(f,1,&c,&p);
+	NEWDC(dc0); dc = dc0; COEF(dc) = (P)c; DEG(dc) = ONE; NEXT(dc) = 0;
+	msqfr(vl,p,&dct);
+	for ( ; dct; dct = NEXT(dct) ) {
+		clctv(vl,f,&nvl);
+		reordvar(nvl,v,&mvl);
+		reorderp(mvl,vl,f,&pmin);
+		pcp(mvl,pmin,&ppmin,&cmin);
+		if ( !NUM(cmin) ) {
+			mfctrmain(mvl,cmin,&dcs);
+			for ( dcr = dcs; dcr; dcr = NEXT(dcr) ) {
+				DEG(dcr) = DEG(dct);
+				reorderp(vl,mvl,COEF(dcr),&t); COEF(dcr) = t;
+			}
+			for ( ; NEXT(dc); dc = NEXT(dc) );
+			NEXT(dc) = dcs;
+		}
+		mfctrmain(mvl,ppmin,&dcs);
+		for ( dcr = dcs; dcr; dcr = NEXT(dcr) ) {
+			DEG(dcr) = DEG(dct);
+			reorderp(vl,mvl,COEF(dcr),&t); COEF(dcr) = t;
+		}
+		for ( ; NEXT(dc); dc = NEXT(dc) );
+		NEXT(dc) = dcs;
+	}
+	adjsgn(f,dc0); *dcp = dc0;
+}
+
+#if 0
 void adjsgn(p,dc)
 P p;
 DCP dc;
@@ -105,7 +220,25 @@ DCP dc;
 		chsgnp(COEF(dc),&c); COEF(dc) = c;
 	}
 }
+#else
+void adjsgn(p,dc)
+P p;
+DCP dc;
+{     
+	int sgn;
+	DCP dct;
+	P c;
 
+	if ( headsgn(COEF(dc)) != headsgn(p) ) {
+		chsgnp(COEF(dc),&c); COEF(dc) = c;
+	}
+	for ( dct = NEXT(dc); dct; dct = NEXT(dct) )
+		if ( headsgn(COEF(dct)) < 0 ) {
+			chsgnp(COEF(dct),&c); COEF(dct) = c;
+		}
+}
+#endif
+
 int headsgn(p)
 P p;
 {
@@ -206,13 +339,14 @@ VL vl;
 P p;
 DCP *dcp;
 {
-	int i,j,k,*win,np;
+	int i,j,k,*win,np,x;
 	VL nvl,tvl;
 	VN vn,vnt,vn1;
 	P p0,f,g,f0,g0,s,t,lp,m;
 	P *fp0,*fpt,*l,*tl;
 	DCP dc,dc0,dcl;
 	int count,nv;
+	int *nonzero;
 
 	if ( !cmpq(DEG(DC(p)),ONE) ) {
 		NEWDC(dc); DEG(dc) = ONE; COEF(dc) = p; NEXT(dc) = 0;
@@ -222,9 +356,56 @@ DCP *dcp;
 	for ( nv = 0, tvl = nvl; tvl; tvl = NEXT(tvl), nv++);
 	W_CALLOC(nv,struct oVN,vn); W_CALLOC(nv,struct oVN,vnt);
 	W_CALLOC(nv,struct oVN,vn1);
+	W_CALLOC(nv,int,nonzero);
+
 	for ( i = 0, tvl = NEXT(nvl); tvl; tvl = NEXT(tvl), i++ ) 
 		vn1[i].v = vn[i].v = tvl->v;
 	vn1[i].v = vn[i].v = 0;
+
+	/* determine a heuristic bound of deg(GCD(p,p')) */
+	while ( 1 ) {
+		for ( i = 0; vn1[i].v; i++ )
+			vn1[i].n = ((unsigned int)random())%256+1;
+		substvp(nvl,LC(p),vn1,&p0);
+		if ( p0 ) {
+			substvp(nvl,p,vn1,&p0);
+			if ( sqfrchk(p0) ) {
+				ufctr(p0,1,&dc0); 
+				if ( NEXT(NEXT(dc0)) == 0 ) {
+					NEWDC(dc); DEG(dc) = ONE; COEF(dc) = p; NEXT(dc) = 0;
+					*dcp = dc;
+					return;
+				} else {
+					for ( dc0 = NEXT(dc0), np = 0; dc0; dc0 = NEXT(dc0), np++ );
+					break;
+				}
+			}
+		}
+	}
+	
+	/* determine the position of variables which is not allowed to
+	   be set to 0 */
+	for ( i = 0; vn1[i].v; i++ ) {
+		x = vn1[i].n; vn1[i].n = 0;
+		substvp(nvl,LC(p),vn1,&p0);
+		if ( !p0 )
+			vn1[i].n = x;
+		else {
+			substvp(nvl,p,vn1,&p0);
+			if ( !sqfrchk(p0) )
+				vn1[i].n = x;
+			else {
+				ufctr(p0,1,&dc0); 
+				for ( dc0 = NEXT(dc0), j = 0; dc0; dc0 = NEXT(dc0), j++ );
+				if ( j > np )
+					vn1[i].n = x;
+			}
+		}
+	}
+	for ( i = 0; vn1[i].v; i++ )
+		if (vn1[i].n )
+			nonzero[i] = 1;
+
 	count = 0;
 	while  ( 1 ) {
 		while ( 1 ) {
@@ -248,14 +429,26 @@ DCP *dcp;
 						NEWDC(dc); DEG(dc) = ONE; COEF(dc) = p; NEXT(dc) = 0;
 						*dcp = dc;
 						return;
-					} else
-						goto MAIN;
-				} 
+					} else {
+						for ( dc = NEXT(dc0), i = 0; dc; dc = NEXT(dc), i++ );
+						if ( i <= np )
+							goto MAIN;
+						if ( i < np )
+							np = i;
+					}
+				}
 			}
 			if ( nextbin(vnt,j) ) 
 				break;
 		}
-		next(vn);
+		while ( 1 ) {
+			next(vn);
+			for ( i = 0; vn[i].v; i++ )
+				if ( nonzero[i] && !vn[i].n )
+					break;
+			if ( !vn[i].v )
+				break;
+		}
 	}
 MAIN :
 #if 0
@@ -336,7 +529,10 @@ DCP *dcp;
 	else if ( iscycp(p) )
 		cycp(VR(p),UDEG(p),dcp);
 	else {
-		hensel(5,5,p,&list);
+		if ( use_new_hensel )
+			hensel2(5,5,p,&list);
+		else
+			hensel(5,5,p,&list);
 		if ( list->n == 1 ) {
 			NEWDC(dc); DEG(dc) = ONE; COEF(dc) = p; NEXT(dc) = 0;
 			*dcp = dc;
@@ -710,7 +906,31 @@ DCP *dcp;
 		vn1[i].v = vn[i].v = tvl->v;
 	vn1[i].v = vn[i].v = 0;
 
-	for  ( dcr0 = 0, g = p, d = deg(VR(g),g), found = 0; ; ) {
+	/* determine a heuristic bound of deg(GCD(p,p')) */
+	while ( 1 ) {
+		for ( i = 0; vn1[i].v; i++ )
+			vn1[i].n = ((unsigned int)random())%256+1;
+		substvp(nvl,LC(p),vn1,&tmp);
+		if ( tmp ) {
+			substvp(nvl,p,vn1,&p0);
+			usqp(p0,&dc0);
+			for ( d1 = 0, dc = dc0; dc; dc = NEXT(dc) )
+				if ( DEG(dc) )
+					d1 += (QTOS(DEG(dc))-1)*UDEG(COEF(dc));
+			if ( d1 == 0 ) {
+				/* p is squarefree */
+				NEWDC(dc); DEG(dc) = ONE; COEF(dc) = p; NEXT(dc) = 0;
+				*dcp = dc;
+				return;
+			} else {
+				d = d1+1; /* XXX : try searching better evaluation */
+				found = 0;
+				break;
+			}
+		}
+	}
+
+	for  ( dcr0 = 0, g = p; ; ) {
 		while ( 1 ) {
 			for ( i = 0, j = 0; vn[i].v; i++ ) 
 				if ( vn[i].n ) vnt[j++].v = (V)i;