| version 1.31, 2004/01/15 07:20:31 |
version 1.38, 2004/05/18 10:03:15 |
|
|
| #define EPS 1E-6 |
#define EPS 1E-6 |
| #define TINY 1E-20 |
#define TINY 1E-20 |
| #define MAX_ITER 100 |
#define MAX_ITER 100 |
| #define ROUND_THRESHOLD 0.4 |
|
| |
|
| def rotate(A,I,J,K,L,C,S){ |
def rotate(A,I,J,K,L,C,S){ |
| |
|
| Line 307 def makeret(Res,Vars,FLAG){ |
|
| Line 306 def makeret(Res,Vars,FLAG){ |
|
| else |
else |
| M=-1$ |
M=-1$ |
| |
|
| for(I=0;I<ResNum;I++){ |
for(I=0;I<ResNum;I++){ |
| if(member(Res[I][0],Vars)){ |
if(member(Res[I][0],Vars)){ |
| ResVec[I]=Res[I][1]$ |
ResVec[I]=Res[I][1]$ |
| |
|
| if(FLAG){ |
if(FLAG){ |
| if(type(ResVec[I])==1){ |
if(type(ResVec[I])==1){ |
| if(M==0) |
if(M==0) |
| M=ResVec[I]$ |
M=ResVec[I]$ |
| else |
else |
| if(ResVec[I]<M) |
if(ResVec[I]<M) |
| M=ResVec[I]$ |
M=ResVec[I]$ |
| } |
} |
| else |
else |
| M=-1$ |
M=-1$ |
| } |
} |
| } |
} |
| } |
} |
| |
|
| |
|
| if(M!=-1) |
if(M!=-1) |
| ResVec=ResVec/M; |
ResVec=ResVec/M; |
| |
|
| Line 351 def roundret(V){ |
|
| Line 349 def roundret(V){ |
|
| |
|
| VN=size(V)[0]$ |
VN=size(V)[0]$ |
| |
|
| |
K=1$ |
| RET0=V$ |
RET0=V$ |
| for(I=1;I<1000;I++){ |
RET1=map(drint,RET0)$ |
| RET1=I*RET0$ |
S=0$ |
| for(J=0;J<VN;J++){ |
for(J=0;J<VN;J++) |
| X=drint(RET1[J])$ |
S+=(RET0[J]-RET1[J])^2$ |
| if(dabs(X-RET1[J])<ROUND_THRESHOLD) |
|
| RET1[J]=X$ |
for(I=2;I<10;I++){ |
| else |
RET0=I*V$ |
| break$ |
RET1=map(drint,RET0)$ |
| } |
|
| if(J==VN) |
T=0$ |
| break$ |
for(J=0;J<VN;J++) |
| |
T+=(RET0[J]-RET1[J])^2$ |
| |
|
| |
if(T<S){ |
| |
K=I$ |
| |
S=T$ |
| |
} |
| } |
} |
| |
|
| if(I==1000) |
return map(drint,K*V)$ |
| return []$ |
|
| else |
|
| return RET1$ |
|
| } |
} |
| |
|
| def chkou(L,ExpMat,CHAGORD){ |
def chkou(L,ExpMat,CHAGORD){ |
| Line 452 def checktd(PolyList,Vars,ResVars){ |
|
| Line 454 def checktd(PolyList,Vars,ResVars){ |
|
| return 1$ |
return 1$ |
| } |
} |
| |
|
| def value2(Vars,Ans){ |
def value2(Vars,Ans,Ba,FLAG){ |
| |
|
| N=length(Vars)$ |
N=length(Vars)$ |
| Res=newvect(N)$ |
Res=newvect(N)$ |
| for(I=0;I<N;I++){ |
for(I=0;I<N;I++){ |
| Res[I]=newvect(2)$ |
Res[I]=newvect(2)$ |
| Res[I][0]=Vars[I]$ |
Res[I][0]=Vars[I]$ |
| Res[I][1]=Ans[I]$ |
Res[I][1]=Ba*Ans[I]$ |
| } |
} |
| Res=map(vtol,Res)$ |
Res=map(vtol,Res)$ |
| Res=vtol(Res)$ |
Res=vtol(Res)$ |
| Line 467 def value2(Vars,Ans){ |
|
| Line 469 def value2(Vars,Ans){ |
|
| Res=getgcd(Res,Vars)$ |
Res=getgcd(Res,Vars)$ |
| |
|
| if(nonposdegchk(Res)){ |
if(nonposdegchk(Res)){ |
| TMP1=makeret(Res,Vars,1)$ |
TMP1=makeret(Res,Vars,FLAG)$ |
| return vtol(TMP1[1])$ |
return vtol(TMP1[1])$ |
| } |
} |
| else |
else |
| Line 521 def qcheck(PolyList,Vars,FLAG){ |
|
| Line 523 def qcheck(PolyList,Vars,FLAG){ |
|
| |
|
| for(I=0;I<length(TMP0);I++) |
for(I=0;I<length(TMP0);I++) |
| TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
| RET0=value2(Vars,TMP)$ |
RET0=value2(Vars,TMP,1,0)$ |
| |
|
| if(RET0!=[]) |
if(RET0!=[]) |
| RET0=wsort(RET0,Vars,RET0,1/10)$ |
RET0=wsort(RET0,Vars,RET0,-1)$ |
| } |
} |
| |
|
| TMP=vtol(TMP1[1])$ |
TMP=vtol(TMP1[1])$ |
| Line 531 def qcheck(PolyList,Vars,FLAG){ |
|
| Line 534 def qcheck(PolyList,Vars,FLAG){ |
|
| |
|
| for(I=0;I<length(TMP0);I++) |
for(I=0;I<length(TMP0);I++) |
| TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
| RET0=value2(Vars,TMP)$ |
RET0=value2(Vars,TMP,-1,0)$ |
| |
|
| if(RET0!=[]) |
if(RET0!=[]) |
| RET0=wsort(RET0,Vars,RET0,1/10)$ |
RET0=wsort(RET0,Vars,RET0,-1)$ |
| } |
} |
| RET=append(RET,RET0)$ |
RET=append(RET,RET0)$ |
| } |
} |
| Line 547 def qcheck(PolyList,Vars,FLAG){ |
|
| Line 550 def qcheck(PolyList,Vars,FLAG){ |
|
| return RET$ |
return RET$ |
| } |
} |
| |
|
| def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
def unitweight2(NormMat0,ExpMat,Vars,FLAG,ID){ |
| |
|
| RET=[]$ |
RET=[]$ |
| |
|
| ExpMatRowNum=size(ExpMat)[0]$ |
ExpMatRowNum=size(ExpMat)[0]$ |
| ExpMatColNum=size(ExpMat[0])[0]$ |
ExpMatColNum=size(ExpMat[0])[0]$ |
| |
ExtMatColNum=ExpMatColNum+1$ |
| |
|
| |
ExtVars=append(Vars,[uc()])$ |
| |
|
| if(NormMat==0){ |
if(NormMat==0){ |
| NormMat=newmat(ExpMatColNum,ExpMatColNum)$ |
|
| |
|
| |
NormMat0=newvect(ExtMatColNum)$ |
| |
for(I=0;I<ExtMatColNum;I++) |
| |
NormMat0[I]=newvect(ExtMatColNum)$ |
| |
|
| for(I=0;I<ExpMatColNum;I++) |
for(I=0;I<ExpMatColNum;I++) |
| for(J=I;J<ExpMatColNum;J++) |
for(J=I;J<ExpMatColNum;J++) |
| for(K=0;K<ExpMatRowNum;K++) |
for(K=0;K<ExpMatRowNum;K++) |
| NormMat[I][J]+= |
NormMat0[I][J]+= |
| ExpMat[K][I]*ExpMat[K][J]$ |
ExpMat[K][I]* |
| |
ExpMat[K][J]$ |
| } |
} |
| |
|
| BVec=newvect(ExpMatColNum)$ |
|
| |
|
| for(I=0;I<ExpMatColNum;I++) |
for(I=0;I<ExpMatColNum;I++) |
| for(J=0;J<ExpMatRowNum;J++) |
for(K=0;K<ExpMatRowNum;K++) |
| BVec[I]+=ExpMat[J][I]$ |
NormMat0[I][ExpMatColNum]-=ExpMat[K][I]$ |
| |
|
| SolveList=[]$ |
NormMat0[ExpMatColNum][ExpMatColNum]=ExpMatRowNum$ |
| for(I=0;I<ExpMatColNum;I++){ |
|
| TMP=0$ |
|
| for(J=0;J<I;J++) |
|
| TMP+=NormMat[J][I]*Vars[J]$ |
|
| |
|
| for(J=I;J<ExpMatColNum;J++) |
WorkMat=newvect(ExtMatColNum)$ |
| TMP+=NormMat[I][J]*Vars[J]$ |
for(I=0;I<ExtMatColNum;I++) |
| |
WorkMat[I]=newvect(ExtMatColNum)$ |
| |
|
| TMP-=BVec[I]$ |
if(jacobi(ExtMatColNum,NormMat0,WorkMat)){ |
| SolveList=cons(TMP,SolveList)$ |
|
| } |
|
| |
|
| Rea=vars(SolveList)$ |
Res=newvect(ExtMatColNum)$ |
| |
for(I=0;I<ExtMatColNum;I++){ |
| |
Res[I]=newvect(2)$ |
| |
Res[I][0]=ExtVars[I]$ |
| |
Res[I][1]=WorkMat[ExtMatColNum-1][I]$ |
| |
} |
| |
|
| VarsList=[]$ |
if(nonposdegchk(Res)){ |
| for(I=0;I<length(Vars);I++) |
|
| if(member(Vars[I],Rea)) |
|
| VarsList=cons(Vars[I],VarsList)$ |
|
| |
|
| Res=solve(SolveList,VarsList)$ |
TMP1=makeret(Res,Vars,1)$ |
| Res=getgcd(Res,Rea)$ |
|
| |
|
| if(nonposdegchk(Res)){ |
if(FLAG==0){ |
| |
|
| TMP1=makeret(Res,Vars,1)$ |
|
| |
|
| if(FLAG==0){ |
|
| |
|
| if(TMP1[0]==0){ |
|
| |
|
| TMP=roundret(TMP1[1])$ |
TMP=roundret(TMP1[1])$ |
| |
|
| RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]*1.0),ID))$ |
RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]),ID))$ |
| |
|
| if(TMP!=[]) |
if(TMP!=[]) |
| RET=append(RET,wsort(TMP1[1],Vars,TMP,ID+1))$ |
RET=append(RET,wsort(TMP1[1],Vars,TMP,ID+1))$ |
| } |
} |
| else{ |
else if(FLAG==1) |
| |
RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
| 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,ID+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,ID+1/10)$ |
|
| } |
|
| |
|
| RET=append(RET,RET0)$ |
|
| } |
|
| |
|
| } |
} |
| else if(FLAG==1) |
} |
| RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
|
| } |
return [NormMat0,RET]$ |
| |
|
| return RET$ |
|
| } |
} |
| |
|
| def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
def unitweight1(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
| |
|
| RET=[]$ |
RET=[]$ |
| |
|
| Line 657 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| Line 627 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| |
|
| ExtVars=reverse(ExtVars)$ |
ExtVars=reverse(ExtVars)$ |
| |
|
| NormMat0=newvect(ExpMatColNum)$ |
NormMat0=newvect(ExpMatColNum+1)$ |
| for(I=0;I<ExpMatColNum;I++) |
for(I=0;I<ExpMatColNum;I++) |
| NormMat0[I]=newvect(ExpMatColNum)$ |
NormMat0[I]=newvect(ExpMatColNum+1)$ |
| |
|
| for(I=0;I<ExpMatColNum;I++) |
for(I=0;I<ExpMatColNum;I++) |
| for(J=I;J<ExpMatColNum;J++) |
for(J=I;J<ExpMatColNum;J++) |
| Line 672 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| Line 642 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| for(I=0;I<ExtMatColNum;I++) |
for(I=0;I<ExtMatColNum;I++) |
| NormMat1[I]=newvect(ExtMatColNum)$ |
NormMat1[I]=newvect(ExtMatColNum)$ |
| |
|
| |
|
| WorkMat=newvect(ExtMatColNum)$ |
WorkMat=newvect(ExtMatColNum)$ |
| for(I=0;I<ExtMatColNum;I++) |
for(I=0;I<ExtMatColNum;I++) |
| WorkMat[I]=newvect(ExtMatColNum)$ |
WorkMat[I]=newvect(ExtMatColNum)$ |
| |
|
| |
|
| for(I=0;I<ExpMatColNum;I++) |
for(I=0;I<ExpMatColNum;I++) |
| for(J=I;J<ExpMatColNum;J++) |
for(J=I;J<ExpMatColNum;J++) |
| NormMat1[I][J]=NormMat0[I][J]$ |
NormMat1[I][J]=NormMat0[I][J]$ |
| Line 706 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| Line 674 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| if(FLAG==0){ |
if(FLAG==0){ |
| TMP=roundret(TMP1[1])$ |
TMP=roundret(TMP1[1])$ |
| |
|
| RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]*1.0),1))$ |
RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]),1))$ |
| |
|
| if(TMP!=[]) |
if(TMP!=[]) |
| RET=append(RET,wsort(TMP1[1],Vars,TMP,2))$ |
RET=append(RET,wsort(TMP1[1],Vars,TMP,2))$ |
| Line 719 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| Line 687 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
|
| return [NormMat0,RET]$ |
return [NormMat0,RET]$ |
| } |
} |
| |
|
| |
def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
| |
|
| |
RET=[]$ |
| |
|
| |
ExpMatRowNum=size(ExpMat)[0]$ |
| |
ExpMatColNum=size(ExpMat[0])[0]$ |
| |
|
| |
if(NormMat==0){ |
| |
NormMat=newmat(ExpMatColNum,ExpMatColNum)$ |
| |
|
| |
for(I=0;I<ExpMatColNum;I++) |
| |
for(J=I;J<ExpMatColNum;J++) |
| |
for(K=0;K<ExpMatRowNum;K++) |
| |
NormMat[I][J]+= |
| |
ExpMat[K][I]*ExpMat[K][J]$ |
| |
} |
| |
|
| |
BVec=newvect(ExpMatColNum)$ |
| |
|
| |
for(I=0;I<ExpMatColNum;I++) |
| |
for(J=0;J<ExpMatRowNum;J++) |
| |
BVec[I]+=ExpMat[J][I]$ |
| |
|
| |
SolveList=[]$ |
| |
for(I=0;I<ExpMatColNum;I++){ |
| |
TMP=0$ |
| |
for(J=0;J<I;J++) |
| |
TMP+=NormMat[J][I]*Vars[J]$ |
| |
|
| |
for(J=I;J<ExpMatColNum;J++) |
| |
TMP+=NormMat[I][J]*Vars[J]$ |
| |
|
| |
TMP-=BVec[I]$ |
| |
SolveList=cons(TMP,SolveList)$ |
| |
} |
| |
|
| |
Rea=vars(SolveList)$ |
| |
|
| |
VarsList=[]$ |
| |
for(I=0;I<length(Vars);I++) |
| |
if(member(Vars[I],Rea)) |
| |
VarsList=cons(Vars[I],VarsList)$ |
| |
|
| |
Res=solve(SolveList,VarsList)$ |
| |
Res=getgcd(Res,Rea)$ |
| |
|
| |
if(nonposdegchk(Res)){ |
| |
|
| |
TMP1=makeret(Res,Vars,1)$ |
| |
|
| |
if(FLAG==0){ |
| |
|
| |
if(TMP1[0]==0){ |
| |
|
| |
TMP=roundret(TMP1[1])$ |
| |
|
| |
RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]),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,1,1)$ |
| |
|
| |
if(RET0!=[]) |
| |
RET0=wsort(RET0,Vars,map(drint,RET0),-ID)$ |
| |
} |
| |
|
| |
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,-1,1)$ |
| |
|
| |
if(RET0!=[]) |
| |
RET0=wsort(RET0,Vars,map(drint,RET0),-ID)$ |
| |
} |
| |
|
| |
RET=append(RET,RET0)$ |
| |
} |
| |
|
| |
} |
| |
else if(FLAG==1) |
| |
RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
| |
} |
| |
|
| |
return [NormMat0,RET]$ |
| |
} |
| |
|
| def weight(PolyList,Vars,FLAG){ |
def weight(PolyList,Vars,FLAG){ |
| |
|
| Vars0=vars(PolyList)$ |
Vars0=vars(PolyList)$ |
| Line 755 def weight(PolyList,Vars,FLAG){ |
|
| Line 820 def weight(PolyList,Vars,FLAG){ |
|
| ExpMat=reverse(ExpMat)$ |
ExpMat=reverse(ExpMat)$ |
| ExpMat=newvect(length(ExpMat),ExpMat)$ |
ExpMat=newvect(length(ExpMat),ExpMat)$ |
| |
|
| TMP=unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG)$ |
TMP=unitweight1(ExpMat,Vars,PolyListNum,OneMat,FLAG)$ |
| |
if(TMP[1]!=[]) |
| |
RET=append(RET,TMP[1])$ |
| |
|
| RET=append(RET,TMP[1])$ |
TMP=leastsq(0,ExpMat,Vars,FLAG,3)$ |
| |
if(TMP[1]!=[]) |
| |
RET=append(RET,TMP[1])$ |
| |
|
| TMP0=leastsq(TMP[0],ExpMat,Vars,FLAG,3)$ |
|
| |
|
| RET=append(RET,TMP0)$ |
|
| |
|
| ExpMat=qsort(ExpMat,junban)$ |
ExpMat=qsort(ExpMat,junban)$ |
| |
|
| ExpMat2=[]$ |
ExpMat2=[]$ |
| Line 772 def weight(PolyList,Vars,FLAG){ |
|
| Line 837 def weight(PolyList,Vars,FLAG){ |
|
| |
|
| if(size(ExpMat)[0]!=length(ExpMat2)){ |
if(size(ExpMat)[0]!=length(ExpMat2)){ |
| ExpMat=newvect(length(ExpMat2),ExpMat2)$ |
ExpMat=newvect(length(ExpMat2),ExpMat2)$ |
| RET=append(RET,leastsq(0,ExpMat,Vars,FLAG,5))$ |
TMP=leastsq(0,ExpMat,Vars,FLAG,5)$ |
| |
if(TMP[1]!=[]) |
| |
RET=append(RET,TMP[1])$ |
| } |
} |
| else{ |
else{ |
| TMP0=map(ltov,TMP0)$ |
TMP=map(ltov,TMP[1])$ |
| |
|
| for(I=0;I<length(TMP0);I++) |
for(I=0;I<length(TMP);I++){ |
| if(TMP0[I][0]==3) |
if(TMP[I][0]==3) |
| TMP0[I][0]=5$ |
TMP[I][0]=5$ |
| else if(TMP0[I][0]==4) |
else if(TMP[I][0]==4) |
| TMP0[I][0]=6$ |
TMP[I][0]=6$ |
| |
} |
| |
|
| TMP0=map(vtol,TMP0)$ |
TMP=map(vtol,TMP)$ |
| |
|
| RET=append(RET,TMP0)$ |
RET=append(RET,TMP)$ |
| } |
} |
| |
|
| return RET$ |
return RET$ |
| } |
} |
| |
|
| end$ |
end$ |
| |
|
| |
|