===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/lib/gr,v
retrieving revision 1.7
retrieving revision 1.10
diff -u -p -r1.7 -r1.10
--- OpenXM_contrib2/asir2000/lib/gr	2000/09/07 23:59:55	1.7
+++ OpenXM_contrib2/asir2000/lib/gr	2001/09/06 00:24:07	1.10
@@ -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/lib/gr,v 1.6 2000/08/22 05:04:22 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.9 2001/09/05 08:09:10 noro Exp $ 
 */
 extern INIT_COUNT,ITOR_FAIL$
 extern REMOTE_MATRIX,REMOTE_NF,REMOTE_VARS$
@@ -935,14 +935,16 @@ def dp_terms(D,V)
 
 def gb_comp(A,B)
 {
-	for ( T = A; T != []; T = cdr(T) ) {
-		for ( S = B, M = car(T), N = -M; S != []; S = cdr(S) )
-			if ( car(S) == M || car(S) == N )
-				break;
-		if ( S == [] )
+	LA = length(A);
+	LB = length(B);
+	if ( LA != LB )
+		return 0;
+	A1 = qsort(newvect(LA,A));
+	B1 = qsort(newvect(LB,B));
+	for ( I = 0; I < LA; I++ )
+		if ( A1[I] != B1[I] && A1[I] != -B1[I] )
 			break;
-	}
-	return T == [] ? 1 : 0;
+	return I == LA ? 1 : 0;
 }
 
 def zero_dim(G,V,O) {
@@ -1432,5 +1434,87 @@ def register_input(List)
 {
 	Len = length(List);
 	NFArray = newvect(Len+100,List);
+}
+
+/*
+	tracetogen(): preliminary version
+
+	dp_gr_main() returns  [GB,GBIndex,Trace].
+	GB : groebner basis
+	GBIndex : IndexList (corresponding to Trace)
+	Trace : [InputList,Trace0,Trace1,...]
+	TraceI : [Index,TraceList]
+	TraceList : [[Coef,Index,Monomial,Denominator],...]
+	Poly <- 0
+	Poly <- (Coef*Poly+Monomial*PolyList[Index])/Denominator
+*/
+
+def tracetogen(G)
+{
+	GB = G[0]; GBIndex = G[1]; Trace = G[2];
+
+	InputList = Trace[0];
+	Trace = cdr(Trace);
+
+	/* number of initial basis */
+	Nini = length(InputList);
+
+	/* number of generated basis */
+	Ngen = length(Trace);
+	
+	N = Nini + Ngen;
+
+	/* stores traces */
+	Tr = vector(N);
+
+	/* stores coeffs */
+	Coef = vector(N);
+
+	/* XXX create dp_ptod(1,V) */
+	HT = dp_ht(InputList[0]);
+	One = dp_subd(HT,HT);
+
+	for ( I = 0; I < Nini; I++ ) {
+		Tr[I] = [1,I,One,1];
+		C = vector(Nini);
+		C[I] = One;
+		Coef[I] = C; 
+	}
+	for ( ; I < N; I++ )
+		Tr[I] = Trace[I-Nini][1];
+
+	for ( T = GBIndex; T != []; T = cdr(T) )
+		compute_coef_by_trace(car(T),Tr,Coef);
+	return Coef;
+}
+
+def compute_coef_by_trace(I,Tr,Coef)
+{
+	if ( Coef[I] )
+		return;
+
+	/* XXX */
+	Nini = size(Coef[0])[0];
+
+	/* initialize coef vector */
+	CI = vector(Nini);
+
+	for ( T = Tr[I]; T != []; T = cdr(T) ) {
+		/*	Trace = [Coef,Index,Monomial,Denominator] */
+		Trace = car(T);
+		C = Trace[0];
+		Ind = Trace[1];
+		Mon = Trace[2];
+		Den = Trace[3];
+		if ( !Coef[Ind] )
+			compute_coef_by_trace(Ind,Tr,Coef);
+
+		/* XXX */
+		CT = newvect(Nini);
+		for ( J = 0; J < Nini; J++ )
+			CT[J] = (C*CI[J]+Mon*Coef[Ind][J])/Den;
+		CI = CT;
+	}
+	Coef[I] = CI;
 }
 end$