===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/poly.c,v
retrieving revision 1.11
retrieving revision 1.15
diff -u -p -r1.11 -r1.15
--- OpenXM_contrib2/asir2000/builtin/poly.c	2001/05/28 08:22:00	1.11
+++ OpenXM_contrib2/asir2000/builtin/poly.c	2001/09/03 07:01:05	1.15
@@ -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/builtin/poly.c,v 1.10 2001/05/09 01:41:41 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/builtin/poly.c,v 1.14 2001/09/03 01:04:25 noro Exp $ 
 */
 #include "ca.h"
 #include "parse.h"
@@ -63,7 +63,8 @@ void Pp_mag(),Pmaxblen();
 void Pmergelist(), Pch_mv(), Pre_mv(), Pdeglist();
 void Pptomp(),Pmptop();
 void Pptolmp(),Plmptop();
-void Pptosfp(),Psfptop(),Psf_galois_action();
+void Pptosfp(),Psfptop(),Psf_galois_action(),Psf_embed(),Psf_find_root();
+void Psf_minipoly(),Psf_log();
 void Pptogf2n(),Pgf2ntop(),Pgf2ntovect();
 void Pptogfpn(),Pgfpntop();
 void Pfind_root_gf2n();
@@ -131,7 +132,7 @@ struct ftab poly_tab[] = {
 
 	{"sparsemod_gf2n",Psparsemod_gf2n,-1},
 
-	{"setmod_ff",Psetmod_ff,-2},
+	{"setmod_ff",Psetmod_ff,-3},
 	{"simp_ff",Psimp_ff,1},
 	{"extdeg_ff",Pextdeg_ff,0},
 	{"characteristic_ff",Pcharacteristic_ff,0},
@@ -151,9 +152,13 @@ struct ftab poly_tab[] = {
 	{"lmptop",Plmptop,1},
 
 	{"sf_galois_action",Psf_galois_action,2},
+	{"sf_find_root",Psf_find_root,1},
+	{"sf_minipoly",Psf_minipoly,2},
+	{"sf_embed",Psf_embed,3},
+	{"sf_log",Psf_log,1},
+
 	{"ptosfp",Pptosfp,1},
 	{"sfptop",Psfptop,1},
-
 	{"ptogf2n",Pptogf2n,1},
 	{"gf2ntop",Pgf2ntop,-2},
 	{"gf2ntovect",Pgf2ntovect,1},
@@ -746,8 +751,9 @@ Obj *rp;
 	N n;
 	UP up;
 	UP2 up2;
+	UM dp;
 	Q q,r;
-	P p;
+	P p,p1,y;
 	NODE n0,n1;
 	LIST list;
 
@@ -781,6 +787,14 @@ Obj *rp;
 			setmod_lm(NM((Q)mod));
 			setmod_gfpn((P)defpoly);
 		}
+	} else if ( ac == 3 ) {
+		/* finite extension of a small finite field */
+		current_ff = FF_GFS;
+		setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg)));
+		d = QTOS((Q)ARG2(arg));
+		generate_defpoly_sfum(d,&dp);
+		setmod_gfsn(dp);
+		current_ff = FF_GFSN;
 	}
 	switch ( current_ff ) {
 		case FF_GFP:
@@ -794,18 +808,29 @@ Obj *rp;
 			MKLIST(list,n0);
 			*rp = (Obj)list; break;
 		case FF_GFS:
+		case FF_GFSN:
 			STOQ(current_gfs_p,q);
-			if ( current_gfs_ext ) {
+			if ( current_gfs_ext )
 				enc_to_p(current_gfs_p,current_gfs_iton[1],
 					VR(current_gfs_ext),&p);
-				n0 = mknode(3,q,current_gfs_ext,p);
-			} else {
+			else {
 				if ( current_gfs_p == 2 )
 					r = ONE;
 				else
 					STOQ(current_gfs_iton[1],r);
-				n0 = mknode(3,q,current_gfs_ext,r);
+				p = (P)r;
 			}
+			switch ( current_ff ) {
+				case FF_GFS:
+					n0 = mknode(3,q,current_gfs_ext,p);
+					break;
+				case FF_GFSN:
+					getmod_gfsn(&dp);
+					makevar("y",&y);
+					sfumtop(VR(y),dp,&p1);
+					n0 = mknode(4,q,current_gfs_ext,p,p1);
+					break;
+			}
 			MKLIST(list,n0);
 			*rp = (Obj)list; break;
 		default:
@@ -819,6 +844,7 @@ Q *rp;
 	int d;
 	UP2 up2;
 	UP up;
+	UM dp;
 
 	switch ( current_ff ) {
 		case FF_GFP:
@@ -833,6 +859,10 @@ Q *rp;
 			else
 				*rp = DEG(DC(current_gfs_ext));
 			break;
+		case FF_GFSN:
+			getmod_gfsn(&dp);
+			STOQ(DEG(dp),*rp);
+			break;
 		default:
 			error("extdeg_ff : current_ff is not set");
 	}
@@ -850,6 +880,7 @@ Q *rp;
 		case FF_GF2N:
 			STOQ(2,*rp); break;
 		case FF_GFS:
+		case FF_GFSN:
 			STOQ(current_gfs_p,*rp); break;
 		default:
 			error("characteristic_ff : current_ff is not set");
@@ -876,6 +907,7 @@ N *order;
 {
 	UP2 up2;
 	UP up;
+	UM dp;
 	N m;
 	int d,w;
 
@@ -892,9 +924,14 @@ N *order;
 			break;
 		case FF_GFPN:
 			getmod_lm(&m);
-			getmod_gfpn(&up); pwrn(m,up->d,order); break;
+			getmod_gfpn(&up); pwrn(m,up->d,order);
+			break;
 		case FF_GFS:
 			STON(current_gfs_q,*order); break;
+		case FF_GFSN:
+			STON(current_gfs_q,m);
+			getmod_gfsn(&dp); pwrn(m,DEG(dp),order);
+			break;
 		default:
 			error("field_order_ff : current_ff is not set");
 	}
@@ -907,6 +944,7 @@ Obj *rp;
 	GF2N g;
 	GFPN p;
 	GFS s;
+	GFSN spn;
 
 	switch ( current_ff ) {
 		case FF_GFP:
@@ -917,6 +955,8 @@ Obj *rp;
 			randomgfpn(&p); *rp = (Obj)p; break;
 		case FF_GFS:
 			randomgfs(&s); *rp = (Obj)s; break;
+		case FF_GFSN:
+			randomgfsn(&spn); *rp = (Obj)spn; break;
 		default:
 			error("random_ff : current_ff is not set");
 	}
@@ -943,6 +983,7 @@ Obj *rp;
 	GF2N rg,sg;
 	GFPN rpn,spn;
 	GFS rs;
+	GFSN rspn,sspn;
 	P t;
 	Obj obj;
 
@@ -968,6 +1009,10 @@ Obj *rp;
 					*rp = (Obj)rs;
 				} 
 				break;
+			case FF_GFSN:
+				ntogfsn((Obj)p,&rspn); simpgfsn((GFSN)rspn,&sspn);
+				*rp = (Obj)sspn;
+				break;
 			default:
 				*rp = (Obj)p;
 				break;
@@ -1188,6 +1233,76 @@ P *rp;
 	sf_galois_action(ARG0(arg),ARG1(arg),rp);
 }
 
+/*
+  sf_embed(F,B,PM)
+  F : an element of GF(pn)
+  B : the image of the primitive root of GF(pn)
+  PM : order of GF(pm)
+*/
+
+void Psf_embed(arg,rp)
+NODE arg;
+P *rp;
+{
+	int k,pm;
+
+	/* GF(pn)={0,1,a,a^2,...}->GF(pm)={0,1,b,b^2,...}; a->b^k */
+	k = CONT((GFS)ARG1(arg));
+	pm = QTOS((Q)ARG2(arg));
+	sf_embed((P)ARG0(arg),k,pm,rp);
+}
+
+void Psf_log(arg,rp)
+NODE arg;
+Q *rp;
+{
+	int k;
+
+	if ( !ARG0(arg) )
+		error("sf_log : invalid armument");
+	k = CONT((GFS)ARG0(arg));
+	STOQ(k,*rp);
+}
+
+void Psf_find_root(arg,rp)
+NODE arg;
+GFS *rp;
+{
+	P p;
+	Obj t;
+	int d;
+	UM u;
+	int *root;
+
+	p = (P)ARG0(arg);
+	simp_ff((Obj)p,&t); p = (P)t;
+	d = getdeg(VR(p),p);
+	u = W_UMALLOC(d);
+	ptosfum(p,u);
+	root = (int *)ALLOCA(d*sizeof(int));
+	find_rootsf(u,root);
+	MKGFS(IFTOF(root[0]),*rp);
+}
+
+void Psf_minipoly(arg,rp)
+NODE arg;
+P *rp;
+{
+	Obj t;
+	P p1,p2;
+	int d1,d2;
+	UM up1,up2,m;
+
+	p1 = (P)ARG0(arg); simp_ff((Obj)p1,&t); p1 = (P)t;
+	p2 = (P)ARG1(arg); simp_ff((Obj)p2,&t); p2 = (P)t;
+	d1 = getdeg(VR(p1),p1); up1 = W_UMALLOC(d1); ptosfum(p1,up1);
+	d2 = getdeg(VR(p2),p2); up2 = W_UMALLOC(d2); ptosfum(p2,up2);
+	m = W_UMALLOC(d2);
+	minipolysf(up1,up2,m);
+	sfumtop(VR(p2),m,&p1);
+	sfptop(p1,rp);
+}
+
 void Pptosfp(arg,rp)
 NODE arg;
 P *rp;
@@ -1367,6 +1482,7 @@ P *rp;
 			powermodup_gf2n(p1,&p2); break;
 		case FF_GFPN:
 		case FF_GFS:
+		case FF_GFSN:
 			powermodup(p1,&p2); break;
 		default:
 			error("pwrmod_ff : current_ff is not set");
@@ -1389,6 +1505,7 @@ P *rp;
 			generic_powermodup_gf2n(g,f,(Q)ARG2(arg),&r); break;
 		case FF_GFPN:
 		case FF_GFS:
+		case FF_GFSN:
 			generic_powermodup(g,f,(Q)ARG2(arg),&r); break;
 		default:
 			error("generic_pwrmod_ff : current_ff is not set");
@@ -1417,6 +1534,7 @@ VECT *rp;
 			powertabup_gf2n(f,xp,tab); break;
 		case FF_GFPN:
 		case FF_GFS:
+		case FF_GFSN:
 			powertabup(f,xp,tab); break;
 		default:
 			error("pwrtab_ff : current_ff is not set");