===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/lib/weight,v
retrieving revision 1.18
retrieving revision 1.27
diff -u -p -r1.18 -r1.27
--- OpenXM_contrib2/asir2000/lib/weight	2004/01/07 06:33:31	1.18
+++ OpenXM_contrib2/asir2000/lib/weight	2004/01/10 14:47:01	1.27
@@ -4,6 +4,7 @@ load("gr")$
 #define EPS 1E-6
 #define TINY 1E-20
 #define MAX_ITER 100
+#define ROUND_THRESHOLD 0.4
 
 def rotate(A,I,J,K,L,C,S){
 
@@ -111,6 +112,93 @@ def jacobi(N,A,W){
 	return 1;
 }
 
+def interval2value(A,Vars){
+
+	B=atl(A)$
+
+	if(length(B)>2){
+		print("bug")$
+		return []$
+	}
+	else if(length(B)==0){
+		if(fop(A)==0)
+			return [Vars,1]$
+		else
+			return []$
+	}
+	else if(length(B)==1){
+		
+		C=fargs(B[0])$
+		D=vars(C)$
+		E=solve(C,D)$
+
+		if(fop(B[0])==15)
+			return [Vars,E[0][1]+1]$
+		else if(fop(B[0])==11)
+			return [Vars,E[0][1]-1]$
+		else if(fop(B[0])==8)
+			return [Vars,E[0][1]]$
+		else
+			return []$
+	}
+	else{
+
+		C=fargs(B[0])$
+		D=vars(C)$
+		E=solve(C,D)$
+
+		C=fargs(B[1])$
+		D=vars(C)$
+		F=solve(C,D)$
+	
+		return [Vars,(E[0][1]+F[0][1])/2]$
+	}
+
+} 
+
+def fixpointmain(F,Vars){
+
+	RET=[]$
+	for(I=length(Vars)-1;I>=1;I--){
+
+		for(H=[],J=0;J<I;J++)
+			H=cons(Vars[J],H)$
+
+		G=interval2value(qe(ex(H,F)),Vars[I])$
+
+		if(G==[])
+			return RET$
+		else
+			RET=cons(G,RET)$
+
+		F=subf(F,G[0],G[1])$
+	}
+
+	G=interval2value(simpl(F),Vars[0])$
+
+	if(G==[])
+		return RET$
+	else
+		RET=cons(G,RET)$
+
+	return RET$
+}
+
+
+def fixedpoint(A,FLAG){
+
+	Vars=vars(A)$
+
+	N=length(A)$
+
+	if (FLAG==0)
+		for(F=@true,I=0;I < N; I++ ) { F = F @&& A[I] @> 0$ }
+	else if (FLAG==1)
+		for(F=@true,I=0;I < N; I++ ) { F = F @&& A[I] @< 0$ }
+
+	return fixpointmain(F,Vars)$
+}
+
 def nonzerovec(A){
 
 	for(I=0;I<size(A)[0];I++)
@@ -145,101 +233,23 @@ def bsort(A){
 	return A$
 }
 
-def perm(I,P,TMP){
+def wsort(A,B,C,ID){
 
-	if(I>0){
-		TMP=perm(I-1,P,TMP)$
-		for(J=I-1;J>=0;J--){
-			T=P[I]$
-			P[I]=P[J]$
-			P[J]=T$
-			TMP=perm(I-1,P,TMP)$
-			T=P[I]$
-			P[I]=P[J]$
-			P[J]=T$
-		}
+	D=newvect(length(B))$
+	for(I=0;I<length(B);I++)
+		D[I]=[A[I],B[I],C[I]]$
 
-		return TMP$
-	}
-	else{
-		for(TMP0=[],K=0;K<size(P)[0];K++)
-			TMP0=cons(P[K],TMP0)$
-				
-		TMP=cons(TMP0,TMP)$
-		return TMP$
-	}
-}
+	D=bsort(D)$
 
-def marge(A,B){
+	for(E=[],I=0;I<length(B);I++)
+		E=cons(D[I][1],E)$
+	E=reverse(E)$
 
-	RET=[]$
-	for(I=0;I<length(A);I++)
-		for(J=0;J<length(B);J++)
-			RET=cons(append(A[I],B[J]),RET)$
-
-	return RET$
-}
-
-def wsort(A,B,C,FLAG,ID){
-
-	if(FLAG==0){
-		D=newvect(length(B))$
-		for(I=0;I<length(B);I++)
-			D[I]=[A[I],B[I],C[I]]$
-
-		D=bsort(D)$
-		E=[]$
-		for(I=0;I<length(B);I++)
-			E=cons(D[I][1],E)$
-		E=reverse(E)$
-		F=[]$
-		for(I=0;I<length(B);I++)
-			F=cons(D[I][2],F)$
-		F=reverse(F)$
+	for(F=[],I=0;I<length(B);I++)
+		F=cons(D[I][2],F)$
+	F=reverse(F)$
 	
-		return [[ID,E,F]]$
-	}
-	else{
-		D=newvect(length(B))$
-		for(I=0;I<length(B);I++)
-			D[I]=[A[I],B[I],C[I]]$
-
-		D=qsort(D,worder)$
-		D0=[]$
-
-		for(I=0,J=0,TMP=[],X=0;I<size(D)[0];I++){
-			if(X==D[I][0])
-				TMP=cons(cdr(D[I]),TMP)$
-			else{
-				D0=cons(TMP,D0)$	
-				TMP=[]$
-				TMP=cons(cdr(D[I]),TMP)$
-				X=car(D[I])$
-			}
-		}
-		D0=cdr(reverse(cons(TMP,D0)))$
-		D0=map(ltov,D0)$
-		for(I=0,TMP=[[]];I<length(D0);I++){
-			TMP0=perm(length(D0[I])-1,D0[I],[])$
-			TMP=marge(TMP,TMP0)$
-		}
-		
-		RET=[]$
-		for(I=0;I<length(TMP);I++){
-			TMP0=[]$
-			TMP1=[]$
-			for(J=0;J<length(TMP[I]);J++){
-				TMP0=cons(TMP[I][J][0],TMP0)$
-				TMP1=cons(TMP[I][J][1],TMP1)$
-			}	
-			TMP0=reverse(TMP0)$
-			TMP1=reverse(TMP1)$
-
-			RET=cons([ID,TMP0,TMP1],RET)$
-		}
-		
-		return RET$
-	}	
+	return [[ID,E,F]]$
 }
 
 def nonposdegchk(Res){
@@ -352,7 +362,7 @@ def roundret(V){
 		RET1=I*RET0$
 		for(J=0;J<VN;J++){
 			X=drint(RET1[J])$
-			if(dabs(X-RET1[J])<0.2)
+			if(dabs(X-RET1[J])<ROUND_THRESHOLD)
 				RET1[J]=X$
 			else
 				break$
@@ -448,6 +458,26 @@ def checktd(PolyList,Vars,ResVars){
 	return 1$
 }
 
+def value2(Vars,Ans){
+
+	N=length(Vars)$
+	Res=newvect(N)$
+	for(I=0;I<N;I++){
+		Res[I]=newvect(2)$
+		Res[I][0]=Vars[I]$
+		Res[I][1]=Ans[I]$
+	}
+
+	Res=getgcd(Res,Vars)$
+
+	if(nonposdegchk(Res)){
+		TMP1=makeret(Res,Vars,1)$
+		return vtol(TMP1[1])$
+	}
+	else
+		return []$
+}
+
 def qcheck(PolyList,Vars,FLAG){
 
 	RET=[]$
@@ -479,26 +509,46 @@ def qcheck(PolyList,Vars,FLAG){
 
 	if(nonposdegchk(Res)){
 
-	   	ResVars=makeret(Res,Vars,0)$
+	   	TMP1=makeret(Res,Vars,0)$
 
-		if(checktd(PolyList,Vars,ResVars[1])==1){
-			if(ResVars[0]==0){
-				RET=append(RET,wsort(ResVars[1],Vars,
-					ResVars[1],FLAG,0))$
+		if(checktd(PolyList,Vars,TMP1[1])==1){
 
-				return RET$
+			if(FLAG==0){
+
+				if(TMP1[0]==0)
+					RET=append(RET,wsort(TMP1[1],Vars,TMP1[1],0))$
+				else{
+
+					TMP=vtol(TMP1[1])$
+					RET0=[]$
+					if((TMP0=fixedpoint(TMP,0))!=[]){
+					
+						for(I=0;I<length(TMP0);I++)
+							TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$
+						RET0=value2(Vars,TMP)$
+						if(RET0!=[])
+							RET0=wsort(RET0,Vars,RET0,1/10)$
+					}
+	
+					TMP=vtol(TMP1[1])$
+					if(RET0==[] && (TMP0=fixedpoint(TMP,1))!=[]){
+					
+						for(I=0;I<length(TMP0);I++)
+							TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$
+						RET0=value2(Vars,TMP)$
+	
+						if(RET0!=[])
+							RET0=wsort(RET0,Vars,RET0,1/10)$
+					}
+					RET=append(RET,RET0)$
+				}
 			}
-			else{
-				RET=append(RET,[[0,Vars,vtol(ResVars[1])]])$
-				return RET$
-			}
+			else if(FLAG==1)
+				RET=append(RET,[[0,Vars,vtol(TMP1[1])]])$
 		}
-		else
-			return []$
 	}
-	else
-		return []$
 
+	return RET$
 }
 
 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){
@@ -551,26 +601,50 @@ def leastsq(NormMat,ExpMat,Vars,FLAG,ID){
 
 		TMP1=makeret(Res,Vars,1)$
 
-		if(TMP1[0]==0){	
-			TMP=roundret(TMP1[1])$
+		if(FLAG==0){
 
-			RET=append(RET,wsort(TMP1[1],Vars,
-				map(drint,TMP1[1]*1.0),FLAG,ID))$
+			if(TMP1[0]==0){	
 
-			if(TMP!=[])
-				RET=append(RET,wsort(TMP1[1],Vars,
-					TMP,FLAG,ID+1))$
+				TMP=roundret(TMP1[1])$
 
-			return RET$
+				RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]*1.0),ID))$
+
+				if(TMP!=[])
+					RET=append(RET,wsort(TMP1[1],Vars,TMP,ID+1))$
+			}
+			else{
+
+				TMP=vtol(TMP1[1])$
+				RET0=[]$
+				if((TMP0=fixedpoint(TMP,0))!=[]){
+					
+					for(I=0;I<length(TMP0);I++)
+						TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$
+					RET0=value2(Vars,TMP)$
+					if(RET0!=[])
+						RET0=wsort(RET0,Vars,RET0,1/10)$
+				}
+	
+				TMP=vtol(TMP1[1])$
+				if(RET0==[] && (TMP0=fixedpoint(TMP,1))!=[]){
+					
+					for(I=0;I<length(TMP0);I++)
+						TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$
+					RET0=value2(Vars,TMP)$
+	
+					if(RET0!=[])
+						RET0=wsort(RET0,Vars,RET0,1/10)$
+				}
+
+				RET=append(RET,RET0)$
+			}
+
 		}
-		else{
-			RET=append(RET,[[ID,Vars,vtol(TMP1[1]*1.0)]])$
-			return RET$
-		}
+		else if(FLAG==1)
+			RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$
 	}
-	else
-		return RET$
 
+	return RET$
 }
 
 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){
@@ -615,8 +689,7 @@ def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){
 	for(I=0;I<ExpMatColNum;I++)
 		for(J=0;J<PolyListNum;J++)
 			for(K=OneMat[J];K<OneMat[J+1];K++)
-				NormMat1[I][J+ExpMatColNum]-=
-					ExpMat[K][I]$
+				NormMat1[I][J+ExpMatColNum]-=ExpMat[K][I]$
 
 	for(I=0;I<PolyListNum;I++)
 		NormMat1[I+ExpMatColNum][I+ExpMatColNum]=OneMat[I+1]-OneMat[I]$
@@ -634,16 +707,17 @@ def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){
 
 			TMP1=makeret(Res,Vars,1)$
 
-			TMP=roundret(TMP1[1])$
+			if(FLAG==0){		
+				TMP=roundret(TMP1[1])$
 
-			RET=append(RET,wsort(TMP1[1],Vars,
-				map(drint,TMP1[1]*1.0),FLAG,1))$
+				RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]*1.0),1))$
 
-			if(TMP!=[])
-				RET=append(RET,wsort(TMP1[1],Vars,
-					TMP,FLAG,2))$
+				if(TMP!=[])
+					RET=append(RET,wsort(TMP1[1],Vars,TMP,2))$
+			}
+			else if(FLAG==1)
+				RET=append(RET,[[1,Vars,vtol(TMP1[1])]])$
 		}
-
 	}	
 	
 	return [NormMat0,RET]$
@@ -689,8 +763,10 @@ def weight(PolyList,Vars,FLAG){
 
 	RET=append(RET,TMP[1])$
 
-	RET=append(RET,leastsq(TMP[0],ExpMat,Vars,FLAG,3))$
+	TMP0=leastsq(TMP[0],ExpMat,Vars,FLAG,3)$
 
+	RET=append(RET,TMP0)$
+
 	ExpMat=qsort(ExpMat,junban)$
 
 	ExpMat2=[]$
@@ -701,6 +777,19 @@ def weight(PolyList,Vars,FLAG){
 	if(size(ExpMat)[0]!=length(ExpMat2)){
 		ExpMat=newvect(length(ExpMat2),ExpMat2)$
 		RET=append(RET,leastsq(0,ExpMat,Vars,FLAG,5))$
+	}
+	else{
+		TMP0=map(ltov,TMP0)$
+
+		for(I=0;I<length(TMP0);I++)
+			if(TMP0[I][0]==3)
+				TMP0[I][0]=5$
+			else if(TMP0[I][0]==4)
+				TMP0[I][0]=6$
+
+		TMP0=map(vtol,TMP0)$
+
+		RET=append(RET,TMP0)$
 	}
 
 	return RET$