===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/lib/gr,v
retrieving revision 1.6
retrieving revision 1.22
diff -u -p -r1.6 -r1.22
--- OpenXM_contrib2/asir2000/lib/gr	2000/08/22 05:04:22	1.6
+++ OpenXM_contrib2/asir2000/lib/gr	2006/07/24 06:36:01	1.22
@@ -45,8 +45,13 @@
  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
  *
- * $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.5 2000/08/21 08:31:41 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.21 2005/08/02 07:21:48 noro Exp $ 
 */
+
+module gr $
+  /* Empty for now.  It will be used in a future. */
+endmodule $
+
 extern INIT_COUNT,ITOR_FAIL$
 extern REMOTE_MATRIX,REMOTE_NF,REMOTE_VARS$
 
@@ -126,27 +131,43 @@ def tolex_tl(G0,V,O,W,H)
 
 def tolex(G0,V,O,W)
 {
+	Procs = getopt(procs);
+
 	TM = TE = TNF = 0;
 	N = length(V); HM = hmlist(G0,V,O); ZD = zero_dim(HM,V,O);
-	if ( !ZD )
-		error("tolex : ideal is not zero-dimensional!");
-	MB = dp_mbase(map(dp_ptod,HM,V));
+	if ( ZD )
+		MB = dp_mbase(map(dp_ptod,HM,V));
+	else
+		MB = 0;
 	for ( J = 0; ; J++ ) {
 		M = lprime(J);
 		if ( !valid_modulus(HM,M) )
 			continue;
-		T0 = time()[0]; GM = tolexm(G0,V,O,W,M); TM += time()[0] - T0;
-		dp_ord(2);
-		DL = map(dp_etov,map(dp_ht,map(dp_ptod,GM,W)));
-		D = newvect(N); TL = [];
-		do 
-			TL = cons(dp_dtop(dp_vtoe(D),W),TL);
-		while ( nextm(D,DL,N) );
-		L = npos_check(DL); NPOSV = L[0]; DIM = L[1];
-		T0 = time()[0]; NF = gennf(G0,TL,V,O,W[N-1],1)[0];
+		T0 = time()[0]; 
+		if ( ZD ) {
+			GM = tolexm(G0,V,O,W,M); 
+			dp_ord(2);
+			DL = map(dp_etov,map(dp_ht,map(dp_ptod,GM,W)));
+			D = newvect(N); TL = [];
+			do 
+				TL = cons(dp_dtop(dp_vtoe(D),W),TL);
+			while ( nextm(D,DL,N) );
+		} else {
+			GM = dp_gr_mod_main(G0,W,0,M,2);
+			dp_ord(2);
+			for ( T = GM, S = 0; T != []; T = cdr(T) )
+				for ( D = dp_ptod(car(T),V); D; D = dp_rest(D) )
+					S += dp_ht(D);
+			TL = dp_terms(S,V);
+		}
+		TM += time()[0] - T0;
+		T0 = time()[0]; NF = gennf(G0,TL,V,O,W[N-1],ZD)[0];
 		TNF += time()[0] - T0;
 		T0 = time()[0];
-		R = tolex_main(V,O,NF,GM,M,MB);
+		if ( type(Procs) != -1 )
+			R = tolex_d_main(V,O,NF,GM,M,MB,Procs);
+		else
+			R = tolex_main(V,O,NF,GM,M,MB);
 		TE += time()[0] - T0;
 		if ( R ) {
 			if ( dp_gr_print() )
@@ -254,7 +275,8 @@ def tolex_gsl_main(G0,V,O,W,NFL,NPOSV,GM,M,MB)
 			R += B[0][K]*TERMS[K];
 		LCM *= B[1];
 		SL = cons(cons(V1,[R,LCM]),SL);
-		print(["DN",B[1]]);
+		if ( dp_gr_print() )
+			print(["DN",B[1]]);
 	}
 	return SL;
 }
@@ -265,7 +287,8 @@ def hen_ttob_gsl(LHS,RHS,TERMS,M)
 	L1 = idiv(LCM,LDN); R1 = idiv(LCM,RDN);
 	T0 = time()[0];
 	S = henleq_gsl(RHS[0],LHS[0]*L1,M);
-	print(["henleq_gsl",time()[0]-T0]);
+	if ( dp_gr_print() )
+		print(["henleq_gsl",time()[0]-T0]);
 	N = length(TERMS);
 	return [S[0],S[1]*R1];
 }
@@ -314,12 +337,20 @@ def dptov(P,W,MB)
 
 def tolex_main(V,O,NF,GM,M,MB)
 {
-	DIM = length(MB);
-	DV = newvect(DIM);
+	if ( MB ) {
+		PosDim = 0;
+		DIM = length(MB);
+		DV = newvect(DIM);
+	} else
+		PosDim = 1;
 	for ( T = GM, SL = [], LCM = 1; T != []; T = cdr(T) ) {
 		S = p_terms(car(T),V,2);
+		if ( PosDim ) {
+			MB = gather_nf_terms(S,NF,V,O);
+			DV = newvect(length(MB));
+		}
 		dp_ord(O); RHS = termstomat(NF,map(dp_ptod,cdr(S),V),MB,M);
-		dp_ord(0); NHT = nf_tab_gsl(dp_ptod(LCM*car(S),V),NF);
+		dp_ord(O); NHT = nf_tab_gsl(dp_ptod(LCM*car(S),V),NF);
 		dptov(NHT[0],DV,MB);
 		dp_ord(O); B = hen_ttob_gsl([DV,NHT[1]],RHS,cdr(S),M);
 		if ( !B )
@@ -330,11 +361,110 @@ def tolex_main(V,O,NF,GM,M,MB)
 			U += B[0][I-1]*S[I];
 		R = ptozp(U);
 		SL = cons(R,SL);
-		print(["DN",B[1]]);
+		if ( dp_gr_print() )
+			print(["DN",B[1]]);
 	}
 	return SL;
 }
 
+def tolex_d_main(V,O,NF,GM,M,MB,Procs)
+{
+	map(ox_reset,Procs);
+	/* register data in servers */
+	map(ox_cmo_rpc,Procs,"register_data_for_find_base",NF,V,O,MB,M);
+	/* discard return value in stack */
+	map(ox_pop_cmo,Procs);
+	Free = Procs;
+	Busy = [];
+	T = GM;
+	SL = [];
+	while ( T != [] || Busy != []  ){
+		if ( Free == [] || T == [] ) {
+			/* someone is working; wait for data */
+			Ready = ox_select(Busy);
+			Busy = setminus(Busy,Ready);
+			Free = append(Ready,Free);
+			for ( ; Ready != []; Ready = cdr(Ready) )
+				SL = cons(ox_get(car(Ready)),SL);
+		} else {
+			P = car(Free);
+			Free = cdr(Free);
+			Busy = cons(P,Busy);
+			Template = car(T);
+			T = cdr(T);
+			ox_cmo_rpc(P,"find_base",Template);
+			ox_push_cmd(P,262); /* 262 = OX_popCMO */
+		}
+	}
+	return SL;
+}
+
+struct find_base_data { NF,V,O,MB,M,PosDim,DV }$
+extern Find_base$
+
+def register_data_for_find_base(NF,V,O,MB,M)
+{
+	Find_base = newstruct(find_base_data);
+	Find_base->NF = NF;
+	Find_base->V = V;
+	Find_base->O = O;
+	Find_base->M = M;
+	Find_base->MB = MB;
+
+	if ( MB ) {
+		Find_base->PosDim = 0;
+		DIM = length(MB);
+		Find_base->DV = newvect(DIM);
+	} else
+		Find_base->PosDim = 1;
+}
+
+def find_base(S) {
+	NF = Find_base->NF;
+	V = Find_base->V;
+	O = Find_base->O;
+	MB = Find_base->MB;
+	M = Find_base->M;
+	PosDim = Find_base->PosDim;
+	DV = Find_base->DV;
+
+	S = p_terms(S,V,2);
+	if ( PosDim ) {
+		MB = gather_nf_terms(S,NF,V,O);
+		DV = newvect(length(MB));
+	}
+	dp_ord(O); RHS = termstomat(NF,map(dp_ptod,cdr(S),V),MB,M);
+	dp_ord(O); NHT = nf_tab_gsl(dp_ptod(car(S),V),NF);
+	dptov(NHT[0],DV,MB);
+	dp_ord(O); B = hen_ttob_gsl([DV,NHT[1]],RHS,cdr(S),M);
+	if ( !B )
+		return 0;
+	Len = length(S);
+	for ( U = B[1]*car(S), I = 1; I < Len; I++  )
+		U += B[0][I-1]*S[I];
+	R = ptozp(U);
+	return R;
+}
+
+/*
+ * NF = [Pairs,DN]
+ *  Pairs = [[NF1,T1],[NF2,T2],...]
+ */
+
+def gather_nf_terms(S,NF,V,O)
+{
+	R = 0;
+	for ( T = S; T != []; T = cdr(T) ) {
+		DT = dp_ptod(car(T),V);
+		for ( U = NF[0]; U != []; U = cdr(U) )
+			if ( car(U)[1] == DT ) {
+				R += tpoly(dp_terms(car(U)[0],V));
+				break;
+			}
+	}
+	return map(dp_ptod,p_terms(R,V,O),V);
+}
+
 def reduce_dn(L)
 {
 	NM = L[0]; DN = L[1]; V = vars(NM);
@@ -349,6 +479,9 @@ def minipoly(G0,V,O,P,V0)
 	if ( !zero_dim(hmlist(G0,V,O),V,O) )
 		error("tolex : ideal is not zero-dimensional!");
 
+	Pin = P;
+	P = ptozp(P);
+	CP = sdiv(P,Pin);
 	G1 = cons(V0-P,G0);
 	O1 = [[0,1],[O,length(V)]];
 	V1 = cons(V0,V);
@@ -369,7 +502,7 @@ def minipoly(G0,V,O,P,V0)
 			TL = cons(V0^J,TL);
 		NF = gennf(G1,TL,V1,O1,V0,1)[0];
 		R = tolex_main(V1,O1,NF,[MP],M,MB);
-		return R[0];
+		return ptozp(subst(R[0],V0,CP*V0));
 	}
 }
 
@@ -377,6 +510,15 @@ def minipoly(G0,V,O,P,V0)
 
 def gennf(G,TL,V,O,V0,FLAG)
 {
+	F = dp_gr_flags();
+	for ( T = F; T != []; T = cdr(T) ) {
+		Key = car(T); T = cdr(T);
+		if ( Key == "Demand" ) {
+			Dir = car(T); break;
+		}
+	}
+	if ( Dir )
+		return gennf_demand(G,TL,V,O,V0,FLAG,Dir);
 	N = length(V); Len = length(G); dp_ord(O); PS = newvect(Len);
 	for ( I = 0, T = G, HL = []; T != []; T = cdr(T), I++ ) {
 		PS[I] = dp_ptod(car(T),V); HL = cons(dp_ht(PS[I]),HL);
@@ -399,7 +541,8 @@ def gennf(G,TL,V,O,V0,FLAG)
 			if ( dp_gr_print() )
 				print(".",2);
 		}
-		print("");
+		if ( dp_gr_print() )
+			print("");
 		TTAB = time()[0]-T0;
 	}
 
@@ -427,6 +570,78 @@ def gennf(G,TL,V,O,V0,FLAG)
 	return [[map(adj_dn,H,LCM),LCM],PS,GI];
 }
 
+def gennf_demand(G,TL,V,O,V0,FLAG,Dir)
+{
+	N = length(V); Len = length(G); dp_ord(O); PS = newvect(Len);
+	NTL = length(TL);
+	for ( I = 0, T = G, HL = []; T != []; T = cdr(T), I++ ) {
+		PS[I] = dp_ptod(car(T),V); HL = cons(dp_ht(PS[I]),HL);
+	}
+	for ( I = 0, DTL = []; TL != []; TL = cdr(TL) )
+		DTL = cons(dp_ptod(car(TL),V),DTL);
+	for ( I = Len - 1, GI = []; I >= 0; I-- )
+		GI = cons(I,GI);
+
+	USE_TAB = (FLAG != 0);
+	if ( USE_TAB ) {
+		T0 = time()[0];
+		MB = dp_mbase(HL); DIM = length(MB);
+		U = dp_ptod(V0,V);
+		UTAB = newvect(DIM);
+		for ( I = 0; I < DIM; I++ ) {
+			UTAB[I] = [MB[I],remove_cont(dp_true_nf(GI,U*MB[I],PS,1))];
+			if ( dp_gr_print() )
+				print(".",2);
+		}
+		if ( dp_gr_print() )
+			print("");
+		TTAB = time()[0]-T0;
+	}
+
+	T0 = time()[0];
+	for ( LCM = 1, Index = 0, H = []; DTL != []; Index++ ) {
+		if ( dp_gr_print() )
+			print(".",2);
+		T = car(DTL); DTL = cdr(DTL);
+		if ( L = search_redble(T,H) ) {
+			L = nf_load(Dir,L[0]);
+			DD = dp_subd(T,L[1]);
+			if ( USE_TAB && (DD == U) ) {
+				NF = nf_tab(L[0],UTAB);
+				NF = [NF[0],dp_hc(L[1])*NF[1]*T];
+			} else
+				NF = nf(GI,L[0]*dp_subd(T,L[1]),dp_hc(L[1])*T,PS);
+		} else
+			NF = nf(GI,T,T,PS);
+		NF = remove_cont(NF);
+		nf_save(NF,Dir,Index);
+		H = cons([Index,NF[1]],H);
+		LCM = ilcm(LCM,dp_hc(NF[1]));
+	}
+	TNF = time()[0]-T0;
+	if ( dp_gr_print() )
+		print("gennf(TAB="+rtostr(TTAB)+" NF="+rtostr(TNF)+")");
+	
+	for ( I = 0; I < NTL; I++ ) {
+		NF = nf_load(Dir,I);
+		NF = adj_dn(NF,LCM);
+		nf_save(NF,Dir,I);
+	}
+	for ( H = [], I = NTL-1; I >= 0; I-- )
+		H = cons(nf_load(Dir,I),H);
+	return [[H,LCM],PS,GI];
+}
+
+def nf_load(Dir,I)
+{
+	return bload(Dir+"/nf"+rtostr(I));
+}
+
+def nf_save(NF,Dir,I)
+{
+	bsave(NF,Dir+"/nf"+rtostr(I));
+}
+
 def adj_dn(P,D)
 {
 	return [(idiv(D,dp_hc(P[1])))*P[0],dp_ht(P[1])];
@@ -458,6 +673,8 @@ def vtop(S,L,GSL)
 	}
 }
 
+/* broken */
+
 def leq_nf(TL,NF,LHS,V)
 {
 	TLen = length(NF);
@@ -554,7 +771,8 @@ def tolexm_main(PS,HL,V,W,M,FLAG)
 			print(".",2);
 		UTAB[I] = [MB[I],dp_nf_mod(GI,U*dp_mod(MB[I],M,[]),PS,1,M)];
 	}
-	print("");
+	if ( dp_gr_print() )
+		print("");
 	T = dp_mod(dp_ptod(dp_dtop(dp_vtoe(D),W),V),M,[]);
 	H = G = [[T,T]];
 	DL = []; G2 = [];
@@ -913,6 +1131,17 @@ def p_true_nf(P,B,V,O) {
 	return [dp_dtop(L[0],V),L[1]];
 }
 
+def p_nf_mod(P,B,V,O,Mod) {
+	setmod(Mod);
+	dp_ord(O); DP = dp_mod(dp_ptod(P,V),Mod,[]);
+	N = length(B); DB = newvect(N);
+	for ( I = N-1, IL = []; I >= 0; I-- ) {
+		DB[I] = dp_mod(dp_ptod(B[I],V),Mod,[]);
+		IL = cons(I,IL);
+	}
+	return dp_dtop(dp_nf_mod(IL,DP,DB,1,Mod),V);
+}
+
 def p_terms(D,V,O)
 {
 	dp_ord(O);
@@ -930,14 +1159,22 @@ 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;
+	A = newvect(LA,A);
+	B = newvect(LB,B);
+	for ( I = 0; I < LA; I++ )
+		A[I] *= headsgn(A[I]);
+	for ( I = 0; I < LB; I++ )
+		B[I] *= headsgn(B[I]);
+	A1 = qsort(A);
+	B1 = qsort(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) {
@@ -1323,13 +1560,39 @@ def dgr(G,V,O)
 		Win = "nonhomo";
 		Lose = P1;
 	} else {
-		Win = "nhomo";
+		Win = "homo";
 		Lose = P0;
 	}
 	ox_reset(Lose);
 	return [Win,R];
 }
 
+/* competitive Gbase computation : F4 vs. Bucbberger */
+/* P : process list */
+
+def dgrf4mod(G,V,M,O)
+{
+	P = getopt(proc);
+	if ( type(P) == -1 )
+		return dp_f4_mod_main(G,V,M,O);
+	P0 = P[0]; P1 = P[1]; P = [P0,P1];
+	map(ox_reset,P);
+	ox_cmo_rpc(P0,"dp_f4_mod_main",G,V,M,O);
+	ox_cmo_rpc(P1,"dp_gr_mod_main",G,V,0,M,O);
+	map(ox_push_cmd,P,262); /* 262 = OX_popCMO */
+	F = ox_select(P);
+	R = ox_get(F[0]);
+	if ( F[0] == P0 ) {
+		Win = "F4";
+		Lose = P1;
+	} else {
+		Win = "Buchberger";
+		Lose = P0;
+	}
+	ox_reset(Lose);
+	return [Win,R];
+}
+
 /* functions for rpc */
 
 def register_matrix(M)
@@ -1406,6 +1669,105 @@ def check_trace(NF,NFIndex,HL)
 }
 
 /*
+ * Trace = [Input,[[j1,[[c,i,m,d],...]],[j2,[[...],...]],...]]
+ * if c != 0
+ *   g = 0
+ *   g = (c*g + m*gi)/d
+ *   ...
+ *   finally fj = g
+ */
+
+def show_trace(Trace,V)
+{
+	Input = Trace[0];
+	for ( I = 0, T = Input; T != []; T = cdr(T), I++ ) {
+		print("F"+rtostr(I)+"=",0);
+		print(dp_dtop(car(T),V));
+	}
+	Trace = cdr(Trace);
+	for ( T = Trace; T != []; T = cdr(T) ) {
+		HL = car(T);
+		J = car(HL); HL = HL[1];
+		L = length(HL);
+		print("F"+rtostr(J)+"=",0);	
+		for ( I = 0; I < L; I++ ) print("(",0);
+		for ( First = 1, S = HL; S != []; S = cdr(S) ) {
+			H = car(S);
+	
+			Coeff = H[0];
+			Index = H[1];
+			Monomial = H[2];
+			Denominator = H[3];
+			if ( First ) {
+				if ( Monomial != 1 ) {
+					print("(",0);
+					print(type(Monomial)==9?dp_dtop(Monomial,V):Monomial,0);
+					print(")*",0);
+				}
+				print("F"+rtostr(Index)+")",0);	
+			} else {
+				if ( Coeff != 1 ) {
+					print("*(",0); print(Coeff,0); print(")",0);
+				}
+				print("+",0);
+				if ( Monomial != 1 ) {
+					print("(",0);
+					print(type(Monomial)==9?dp_dtop(Monomial,V):Monomial,0);
+					print(")*",0);
+				}
+				print("F"+rtostr(Index)+")",0);	
+				if ( Denominator != 1 ) {
+					print("/",0); print(Denominator,0);
+				}
+			}
+			if ( First ) First = 0;
+		}
+		print("");
+	}
+}
+
+def generating_relation(Trace,V)
+{
+	Trace = cdr(Trace);
+	Tab = [];
+	for ( T = Trace; T != []; T = cdr(T) ) {
+		HL = car(T);
+		J = car(HL); HL = HL[1];
+		L = length(HL);
+		LHS = strtov("f"+rtostr(J));
+		Dn = 1;
+		for ( First = 1, S = HL; S != []; S = cdr(S) ) {
+			H = car(S);
+	
+			Coeff = H[0];
+			Index = H[1];
+			Monomial = type(H[2])==9?dp_dtop(H[2],V):H[2];
+			Denominator = H[3];
+			F = strtov("f"+rtostr(Index));
+			for ( Z = Tab; Z != []; Z = cdr(Z) )
+				if ( Z[0][0] == F ) break;
+			if ( Z != [] ) Value = Z[0][1];
+			else Value = [F,1];
+			if ( First ) {
+				RHS = Monomial*Value[0];
+				Dn *= Value[1];
+			} else {
+				RHS = RHS*Coeff*Value[1]+Dn*Value[0]*Monomial;
+				Dn = Value[1]*Dn*Denominator;
+			}
+			VVVV = tttttttt;
+			P = ptozp(Dn*VVVV+RHS);
+			RHS = coef(P,0,VVVV);
+			Dn = coef(P,1,VVVV);
+			if ( First ) First = 0;
+		}
+		Tab = cons([LHS,[RHS,Dn]],Tab);
+	}
+	return Tab;
+}
+
+end$
+/*
  * realloc NFArray so that it can hold * an element as NFArray[Ind].
  */
 
@@ -1427,5 +1789,156 @@ 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;
+}
+
+extern Gbcheck_DP,Gbcheck_IL$
+
+def register_data_for_gbcheck(DPL)
+{
+	for ( IL = [], I = length(DPL)-1; I >= 0; I-- )
+		IL = cons(I,IL);
+	Gbcheck_DP = newvect(length(DPL),DPL);
+	Gbcheck_IL = IL;
+}
+
+def sp_nf_for_gbcheck(Pair)
+{
+	SP = dp_sp(Gbcheck_DP[Pair[0]],Gbcheck_DP[Pair[1]]);
+	return dp_nf(Gbcheck_IL,SP,Gbcheck_DP,1);
+}
+
+def gbcheck(B,V,O)
+{
+	dp_ord(O);
+	D = map(dp_ptod,B,V);	
+	L = dp_gr_checklist(D,length(V));
+	DP = L[0]; Plist = L[1];
+	for ( IL = [], I = size(DP)[0]-1; I >= 0; I-- )
+		IL = cons(I,IL);
+	Procs = getopt(proc);
+	if ( type(Procs) == 4 ) {
+		map(ox_reset,Procs);
+		/* register DP in servers */
+		map(ox_cmo_rpc,Procs,"register_data_for_gbcheck",vtol(DP));
+		/* discard return value in stack */
+		map(ox_pop_cmo,Procs);
+		Free = Procs;
+		Busy = [];
+		T = Plist;
+		while ( T != [] || Busy != []  ){
+			if ( Free == [] || T == [] ) {
+				/* someone is working; wait for data */
+				Ready = ox_select(Busy);
+				Busy = setminus(Busy,Ready);
+				Free = append(Ready,Free);
+				for ( ; Ready != []; Ready = cdr(Ready) ) {
+					if ( ox_get(car(Ready)) ) {
+						map(ox_reset,Procs);
+						return 0;
+					}
+				}
+			} else {
+				P = car(Free);
+				Free = cdr(Free);
+				Busy = cons(P,Busy);
+				Pair = car(T);
+				T = cdr(T);
+				ox_cmo_rpc(P,"sp_nf_for_gbcheck",Pair);
+				ox_push_cmd(P,262); /* 262 = OX_popCMO */
+			}
+		}
+		map(ox_reset,Procs);
+		return 1;
+	} else {
+		for ( T = Plist; T != []; T = cdr(T) ) {
+			Pair = T[0];
+			SP = dp_sp(DP[Pair[0]],DP[Pair[1]]);
+			if ( dp_nf(IL,SP,DP,1) )
+				return 0;
+		}
+		return 1;
+	}
 }
 end$