===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/strobj.c,v
retrieving revision 1.78
retrieving revision 1.88
diff -u -p -r1.78 -r1.88
--- OpenXM_contrib2/asir2000/builtin/strobj.c	2005/10/17 00:38:11	1.78
+++ OpenXM_contrib2/asir2000/builtin/strobj.c	2005/11/01 07:24:11	1.88
@@ -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/strobj.c,v 1.77 2005/10/15 07:40:59 noro Exp $
+ * $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.87 2005/10/31 10:03:48 noro Exp $
 */
 #include "ca.h"
 #include "parse.h"
@@ -87,10 +87,13 @@ void Pflatten_quote();
 void Pquote_is_integer(),Pquote_is_rational(),Pquote_is_number();
 void Pquote_is_dependent(),Pquote_is_function();
 void Pquote_normalize();
+void Pquote_normalize_comp();
+void Pquote_normalize_unify();
 
 void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name();
 void Pquote_unify(),Pget_quote_id(),Pquote_match_rewrite();
 void Pquote_to_nary(),Pquote_to_bin();
+void fnode_do_assign(NODE arg);
 void do_assign(NODE arg);
 void fnodetotex_tb(FNODE f,TB tb);
 char *symbol_name(char *name);
@@ -126,6 +129,7 @@ struct ftab str_tab[] = {
 	{"quote_is_dependent",Pquote_is_dependent,2},
 
 	{"quote_normalize",Pquote_normalize,-2},
+	{"quote_normalize_comp",Pquote_normalize_comp,2},
 
 	{"quote_to_nary",Pquote_to_nary,1},
 	{"quote_to_bin",Pquote_to_bin,2},
@@ -135,6 +139,7 @@ struct ftab str_tab[] = {
 	{"flatten_quote",Pflatten_quote,-2},
 	{"quote_to_funargs",Pquote_to_funargs,1},
 	{"quote_unify",Pquote_unify,2},
+	{"quote_normalize_unify",Pquote_normalize_unify,2},
 	{"quote_match_rewrite",Pquote_match_rewrite,-4},
 	{"funargs_to_quote",Pfunargs_to_quote,1},
 	{"get_function_name",Pget_function_name,1},
@@ -644,6 +649,23 @@ void Pquote_unify(NODE arg,Q *rp)
 		*rp = 0;
 }
 
+void Pquote_normalize_unify(NODE arg,Q *rp)
+{
+	QUOTE fq,pq;
+	FNODE f,p;
+	int ret;
+	NODE r;
+
+	fq = (QUOTE)ARG0(arg); Pquote_normalize(mknode(2,fq,0),&fq); f = (FNODE)BDY(fq);
+	pq = (QUOTE)ARG1(arg); Pquote_normalize(mknode(2,pq,0),&pq); p = (FNODE)BDY(pq);
+	ret = fnode_normalize_unify(f,p,&r);
+	if ( ret ) {
+		fnode_do_assign(r);
+		*rp = ONE;
+	} else
+		*rp = 0;
+}
+
 FNODE rewrite_fnode(FNODE,NODE);
 
 extern Obj VOIDobj;
@@ -663,20 +685,20 @@ void Pquote_match_rewrite(NODE arg,Obj *rp)
 			NEXTNODE(s0,s);
 			pair = BDY((LIST)BDY(t));
 			ind = (int)FA0((FNODE)BDY((QUOTE)BDY(pair)));
-			value = mkfnode(1,I_FORMULA,BDY(NEXT(pair)));
+			value = BDY((QUOTE)(BDY(NEXT(pair))));
 			BDY(s) = mknode(2,ind,value);
 		}
 		if ( s0 ) NEXT(s) = 0;
 		switch ( ac = argc(arg) ) {
 			case 3:
 				h = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0);
-				*rp = eval(h);
+				MKQUOTE(q,h); *rp = (Obj)q;
 				break;
 			case 4:
 				c = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0);
 				if ( eval(c) ) {
 					h = rewrite_fnode(BDY((QUOTE)ARG3(arg)),s0);
-					*rp = eval(h);
+					MKQUOTE(q,h); *rp = (Obj)q;
 				} else
 					*rp = VOIDobj;
 				break;
@@ -702,6 +724,24 @@ void do_assign(NODE arg)
 	}
 }
 
+/* [[index,fnode],...] */
+
+void fnode_do_assign(NODE arg)
+{
+	NODE t,pair;
+	int pv;
+	FNODE f;
+	QUOTE value;
+
+	for ( t = arg; t; t = NEXT(t) ) {
+		pair = (NODE)BDY(t);
+		pv = (int)BDY(pair);
+		f = (FNODE)(BDY(NEXT(pair)));
+		MKQUOTE(value,f);
+		ASSPV(pv,value);
+	}
+}
+
 /* 
 /* consistency check and merge
  */
@@ -1940,13 +1980,31 @@ void Pquote_normalize(NODE arg,QUOTE *rp)
 	if ( !q || OID(q) != O_QUOTE ) {
 		*rp = q;
 		return;
-	} else {
+	} else if ( q->normalized && (q->expanded || !expand) )
+		*rp = q;
+	else {
 		f = fnode_normalize(BDY(q),expand);
 		MKQUOTE(r,f);
+		r->normalized = 1;
+		if ( expand ) r->expanded = 1;
 		*rp = r;
 	}
 }
 
+void Pquote_normalize_comp(NODE arg,Q *rp)
+{
+	QUOTE q1,q2;
+	FNODE f1,f2;
+	int r;
+
+	q1 = (QUOTE)ARG0(arg); f1 = (FNODE)BDY(q1);
+	q2 = (QUOTE)ARG1(arg); f2 = (FNODE)BDY(q2);
+	if ( !q1->normalized ) f1 = fnode_normalize(f1,0);
+	if ( !q2->normalized ) f2 = fnode_normalize(f2,0);
+	r = fnode_normalize_comp(f1,f2);
+	STOQ(r,*rp);
+}
+
 int fnode_is_number(FNODE f)
 {
 	Obj obj;
@@ -2215,7 +2273,7 @@ FNODE fnode_normalize_add(FNODE f1,FNODE f2,int expand
 	r0 = 0;
 	while ( n1 && n2 ) {
 		fnode_coef_body(BDY(n1),&c1,&b1); fnode_coef_body(BDY(n2),&c2,&b2);
-		if ( (s = compfnode(b1,b2)) > 0 ) {
+		if ( (s = fnode_normalize_comp(b1,b2)) > 0 ) {
 			NEXTNODE(r0,r); BDY(r) = BDY(n1); n1 = NEXT(n1);
 		} else if ( s < 0 ) {
 			NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2);
@@ -2349,7 +2407,8 @@ FNODE fnode_normalize_pwr(FNODE f1,FNODE f2,int expand
 			return b;
 		else
 			return fnode_node_to_narymul(mknode(2,cc,b));
-	} else if ( expand && fnode_is_nonnegative_integer(f2) ) {
+	} else if ( expand && fnode_is_integer(f2) 
+			&& fnode_is_nonnegative_integer(f2) ) {
 		q = (Q)eval(f2);
 		if ( PL(NM(q)) > 1 ) error("fnode_normalize_pwr : exponent too large");
 		return fnode_expand_pwr(f1,QTOS(q));
@@ -2459,5 +2518,399 @@ void fnode_coef_body(FNODE f,Num *cp,FNODE *bp)
 		}
 	} else {
 		*cp = (Num)ONE; *bp = f;
+	}
+}
+
+int fnode_normalize_comp_pwr(FNODE f1,FNODE f2);
+
+int fnode_normalize_comp(FNODE f1,FNODE f2)
+{
+	NODE n1,n2;
+	int r,i1,i2;
+	char *nm1,*nm2;
+	FNODE b1,b2,e1,e2,g;
+	Num ee,ee1,c1,c2;
+
+	if ( IS_NARYADD(f1) || IS_NARYADD(f2) ) {
+		f1 = to_naryadd(f1); f2 = to_naryadd(f2);
+		n1 = (NODE)FA1(f1); n2 = (NODE)FA1(f2);
+		while ( n1 && n2 )
+			if ( r = fnode_normalize_comp(BDY(n1),BDY(n2)) ) return r;
+			else {
+				n1 = NEXT(n1); n2 = NEXT(n2);
+			}
+		return n1?1:(n2?-1:0);
+	}
+	if ( IS_NARYMUL(f1) || IS_NARYMUL(f2) ) {
+		fnode_coef_body(f1,&c1,&b1);
+		fnode_coef_body(f2,&c2,&b2);
+		if ( !compfnode(b1,b2) ) return compnum(0,c1,c2);
+		b1 = to_narymul(b1); b2 = to_narymul(b2);
+		n1 = (NODE)FA1(b1); n2 = (NODE)FA1(b2);
+		while ( 1 ) {
+			while ( n1 && n2 && !compfnode(BDY(n1),BDY(n2)) ) {
+				n1 = NEXT(n1); n2 = NEXT(n2);
+			}
+			if ( !n1 || !n2 ) {
+				return n1?1:(n2?-1:0);
+			}
+			fnode_base_exp(BDY(n1),&b1,&e1);
+			fnode_base_exp(BDY(n2),&b2,&e2);
+
+			if ( r = fnode_normalize_comp(b1,b2) ) {
+				if ( r > 0 )
+					return fnode_normalize_comp(e1,mkfnode(1,I_FORMULA,0));
+				else if ( r < 0 )
+					return fnode_normalize_comp(mkfnode(1,I_FORMULA,0),e2);
+			} else {
+				n1 = NEXT(n1); n2 = NEXT(n2);
+				if ( fnode_is_number(e1) && fnode_is_number(e2) ) {
+					/* f1 = t b^e1 ... , f2 = t b^e2 ... */
+					subnum(0,eval(e1),eval(e2),&ee);
+					r = compnum(0,ee,0);
+					if ( r > 0 ) {
+						g = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,ee));
+						MKNODE(n1,g,n1);
+					} else if ( r < 0 ) {
+						chsgnnum(ee,&ee1);
+						g = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,ee1));
+						MKNODE(n2,g,n2);
+					}
+				} else {
+					r = fnode_normalize_comp(e1,e2);
+					if ( r > 0 ) return 1;
+					else if ( r < 0 ) return -1;
+				}
+			}
+		}
+	}
+	if ( IS_BINARYPWR(f1) || IS_BINARYPWR(f2) )
+		return fnode_normalize_comp_pwr(f1,f2);
+				
+	/* now, IDs of f1 and f2 must be I_FORMULA, I_FUNC, or I_PVAR */
+	switch ( f1->id ) {
+		case I_FORMULA:
+			switch ( f2->id ) {
+				case I_FORMULA:
+					return arf_comp(CO,FA0(f1),FA0(f2));
+				case I_FUNC: case I_PVAR:
+					return -1;
+				default:
+					error("fnode_normalize_comp : undefined");
+			}
+			break;
+		case I_FUNC:
+			switch ( f2->id ) {
+				case I_FORMULA:
+					return 1;
+				case I_FUNC:
+					nm1 = ((FUNC)FA0(f1))->name; nm2 = ((FUNC)FA0(f2))->name;
+					r = strcmp(nm1,nm2);
+					if ( r > 0 ) return 1;
+					else if ( r < 0 ) return -1;
+					else {
+						/* compare args */
+						n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2));
+						while ( n1 && n2 )
+							if ( r = fnode_normalize_comp(BDY(n1),BDY(n2)) ) return r;
+							else {
+								n1 = NEXT(n1); n2 = NEXT(n2);
+							}
+						return n1?1:(n2?-1:0);
+					}
+					break;
+				case I_PVAR:
+					return -1;
+				default:
+					error("fnode_normalize_comp : undefined");
+			}
+		case I_PVAR:
+			switch ( f2->id ) {
+				case I_FORMULA: case I_FUNC:
+					return 1;
+				case I_PVAR:
+					i1 = (int)FA0(f1); i2 = (int)FA0(f2);
+					if ( i1 > i2 ) return 1;
+					else if ( i1 < i2 ) return -1;
+					else return 0;
+				default:
+					error("fnode_normalize_comp : undefined");
+			}
+			break;
+		default:
+			error("fnode_normalize_comp : undefined");
+	}
+}
+
+int fnode_normalize_comp_pwr(FNODE f1,FNODE f2)
+{
+	FNODE b1,b2,e1,e2;
+	int r;
+
+	fnode_base_exp(f1,&b1,&e1);
+	fnode_base_exp(f2,&b2,&e2);
+	if ( r = fnode_normalize_comp(b1,b2) ) {
+		if ( r > 0 )
+			return fnode_normalize_comp(e1,mkfnode(1,I_FORMULA,0));
+		else if ( r < 0 )
+			return fnode_normalize_comp(mkfnode(1,I_FORMULA,0),e2);
+	} else return fnode_normalize_comp(e1,e2);
+}
+
+NODE append_node(NODE a1,NODE a2)
+{
+	NODE t,t0;
+
+	if ( !a1 )
+		return a2;
+	else {
+		for ( t0 = 0; a1; a1 = NEXT(a1) ) {
+			NEXTNODE(t0,t); BDY(t) = BDY(a1);
+		}
+		NEXT(t) = a2;
+		return t0;
+	}
+}
+
+int fnode_normalize_unify(FNODE f,FNODE pat,NODE *rp)
+{
+	NODE m,m1,m2,base,exp,fa,pa,n;
+	LIST l;
+	QUOTE qp,qf;
+	FNODE fbase,fexp,a;
+	FUNC ff,pf;
+	int r;
+
+	switch ( pat->id ) {
+		case I_PVAR:
+			/* [[pat,f]] */
+			*rp = mknode(1,mknode(2,(int)FA0(pat),f),0);
+			return 1;
+
+		case I_FORMULA:
+			if ( !arf_comp(CO,(Obj)FA0(f),(Obj)FA0(pat)) ) {
+				*rp = 0; return 1;
+			} else
+				return 0;
+
+		case I_BOP:
+			/* OPNAME should be "^" */
+			if ( !IS_BINARYPWR(pat) )
+				error("fnode_normalize_unify : invalid BOP");
+			if ( IS_BINARYPWR(f) ) {
+				fbase = FA1(f); fexp = FA2(f);
+			} else {
+				fbase = f; fexp = mkfnode(1,I_FORMULA,ONE);
+			}
+			if ( !fnode_normalize_unify(fbase,FA1(pat),&base) ) return 0;
+			a = rewrite_fnode(FA2(pat),base);
+			if ( !fnode_normalize_unify(fexp,a,&exp) ) return 0;
+			else {
+				*rp = append_node(base,exp);
+				return 1;
+			}
+			break;
+		
+		case I_FUNC:
+			if ( f->id != I_FUNC ) return 0;
+			ff = (FUNC)FA0(f); pf = (FUNC)FA0(pat);
+			if ( strcmp(ff->fullname,pf->fullname) ) return 0;
+			/* FA1(f) and FA1(pat) are I_LIST */
+			fa = (NODE)FA0((FNODE)FA1(f));
+			pa = (NODE)FA0((FNODE)FA1(pat));
+			m = 0;
+			while ( fa && pa ) {
+				a = rewrite_fnode(BDY(pa),m);
+				if ( !fnode_normalize_unify(BDY(fa),a,&m1) ) return 0;
+				m = append_node(m1,m);
+				fa = NEXT(fa); pa = NEXT(pa);
+			}
+			if ( fa || pa ) return 0;
+			else {
+				*rp = m;
+				return 1;
+			}
+
+		case I_NARYOP:
+			if ( IS_NARYADD(pat) )
+				return fnode_normalize_unify_naryadd(f,pat,rp);
+			else if ( IS_NARYMUL(pat) )
+				return fnode_normalize_unify_narymul(f,pat,rp);
+			else
+				error("fnode_normalize_unify : invalid NARYOP");
+			break;
+
+		default:
+			error("fnode_normalize_unify : invalid pattern");
+	}
+}
+
+/* remove i-th element */
+
+FNODE fnode_removeith_naryadd(FNODE p,int i)
+{
+	int k,l;
+	NODE t,r0,r,a;
+
+	a = (NODE)FA1(p);
+	l = length(a);
+	if ( i < 0 || i >= l ) error("fnode_removeith_naryadd: invalid index");
+	else if ( i == 0 )
+		return fnode_node_to_naryadd(NEXT(a));
+	else {
+		for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) {
+			NEXTNODE(r0,r);
+			BDY(r) = BDY(t);
+		}
+		t = NEXT(t);
+		NEXT(r) = 0;
+		return fnode_node_to_naryadd(r0);
+	}
+	
+}
+
+/* a0,...,a(i-1) */
+FNODE fnode_left_narymul(FNODE p,int i)
+{
+	int k,l;
+	NODE t,r0,r,a;
+
+	a = (NODE)FA1(p);
+	l = length(a);
+	if ( i < 0 || i >= l ) error("fnode_left_narymul : invalid index");
+	if ( i == 0 ) return mkfnode(1,I_FORMULA,ONE);
+	else if ( i == 1 ) return (FNODE)BDY(a);
+	else {
+		for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) {
+			NEXTNODE(r0,r);
+			BDY(r) = BDY(t);
+		}
+		NEXT(r) = 0;
+		return fnode_node_to_narymul(r0);
+	}
+}
+
+/* a(i+1),...,a(l-1) */
+FNODE fnode_right_narymul(FNODE p,int i)
+{
+	NODE a,t;
+	int l,k;
+
+	a = (NODE)FA1(p);
+	l = length(a);
+	if ( i < 0 || i >= l ) error("fnode_right_narymul : invalid index");
+	if ( i == l-1 ) return mkfnode(1,I_FORMULA,ONE);
+	else {
+		for ( k = 0, t = a; k <= i; k++, t = NEXT(t) );
+		return fnode_node_to_narymul(t);
+	}
+}
+
+int fnode_normalize_unify_naryadd(FNODE f,FNODE p,NODE *rp)
+{
+	int fl,pl,fi,pi;
+	NODE fa,pa,t,s,m,m1;
+	FNODE fr,pr,prr,pivot;
+
+	f = to_naryadd(f);
+	fa = (NODE)FA1(f); fl = length(fa);
+	pa = (NODE)FA1(p); pl = length(pa);
+	if ( fl < pl ) return 0;
+	else if ( pl == 1 ) {
+		if ( fl == 1 )
+			return fnode_normalize_unify(BDY(fa),BDY(pa),rp);
+		else
+			return 0;
+	} else {
+		for ( t = pa, pi = 0; t; t = NEXT(t), pi++ )
+			if ( ((FNODE)BDY(t))->id != I_PVAR ) break;
+		if ( !t ) {
+			/* all are I_PVAR */
+			m = 0;
+			for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) {
+				fnode_normalize_unify(BDY(s),BDY(t),&m1);
+				m = append_node(m1,m);
+			}
+			if ( !NEXT(s) )
+				fr = (FNODE)BDY(s);
+			else
+				fr = mkfnode(2,I_NARYOP,FA0(f),s);
+			fnode_normalize_unify(fr,BDY(t),&m1);
+			*rp = append_node(m1,m);
+			return 1;
+		} else {
+			pivot = (FNODE)BDY(t);
+			pr = fnode_removeith_naryadd(p,pi);
+			for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) {
+				if ( fnode_normalize_unify(BDY(s),pivot,&m) ) {
+					fr = fnode_removeith_naryadd(f,fi);
+					prr = rewrite_fnode(pr,m);
+					if ( fnode_normalize_unify(fr,prr,&m1) ) {
+						*rp = append_node(m,m1);
+						return 1;
+					}
+				}
+			}
+			return 0;
+		}
+	}
+}
+
+int fnode_normalize_unify_narymul(FNODE f,FNODE p,NODE *rp)
+{
+	int fl,pl,fi,pi;
+	NODE fa,pa,t,s,m,m1;
+	FNODE fr,pr,pleft,pleft1,pright,pright1,fleft,fright,pivot;
+
+	f = to_narymul(f);
+	fa = (NODE)FA1(f); fl = length(fa);
+	pa = (NODE)FA1(p); pl = length(pa);
+	if ( fl < pl ) return 0;
+	else if ( pl == 1 ) {
+		if ( fl == 1 )
+			return fnode_normalize_unify(BDY(fa),BDY(pa),rp);
+		else
+			return 0;
+	} else {
+		for ( t = pa, pi = 0; t; t = NEXT(t), pi++ )
+			if ( ((FNODE)BDY(t))->id != I_PVAR ) break;
+		if ( !t ) {
+			/* all are I_PVAR */
+			m = 0;
+			for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) {
+				pr = rewrite_fnode(BDY(t),m);
+				if ( !fnode_normalize_unify(BDY(s),pr,&m1) ) return 0;
+				m = append_node(m1,m);
+			}
+			if ( !NEXT(s) )
+				fr = (FNODE)BDY(s);
+			else
+				fr = mkfnode(2,I_NARYOP,FA0(f),s);
+			pr = rewrite_fnode(BDY(t),m);
+			if ( !fnode_normalize_unify(fr,pr,&m1) ) return 0;
+			*rp = append_node(m1,m);
+			return 1;
+		} else {
+			pivot = (FNODE)BDY(t);
+			pleft = fnode_left_narymul(p,pi);
+			pright = fnode_right_narymul(p,pi);
+			/* XXX : incomplete */
+			for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) {
+				if ( fnode_normalize_unify(BDY(s),pivot,&m) ) {
+					fleft = fnode_left_narymul(f,fi);
+					pleft1 = rewrite_fnode(pleft,m);
+					if ( fnode_normalize_unify(fleft,pleft1,&m1) ) {
+						m = append_node(m1,m);
+						fright = fnode_right_narymul(f,fi);
+						pright1 = rewrite_fnode(pright,m);
+						if ( fnode_normalize_unify(fright,pright1,&m1) ) {
+							*rp = append_node(m1,m);
+							return 1;
+						}
+					}
+				}
+			}
+			return 0;
+		}
 	}
 }