version 1.31, 2004/01/15 07:20:31 |
version 1.36, 2004/05/06 02:55:39 |
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#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 |
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def rotate(A,I,J,K,L,C,S){ |
def rotate(A,I,J,K,L,C,S){ |
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Line 351 def roundret(V){ |
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Line 350 def roundret(V){ |
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VN=size(V)[0]$ |
VN=size(V)[0]$ |
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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) |
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RET1[J]=X$ |
for(I=2;I<10;I++){ |
else |
RET0=I*V$ |
break$ |
RET1=map(drint,RET0)$ |
} |
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if(J==VN) |
T=0$ |
break$ |
for(J=0;J<VN;J++) |
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T+=(RET0[J]-RET1[J])^2$ |
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if(T<S){ |
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K=I$ |
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S=T$ |
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} |
} |
} |
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if(I==1000) |
return map(drint,K*V)$ |
return []$ |
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else |
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return RET1$ |
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} |
} |
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def chkou(L,ExpMat,CHAGORD){ |
def chkou(L,ExpMat,CHAGORD){ |
Line 452 def checktd(PolyList,Vars,ResVars){ |
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Line 455 def checktd(PolyList,Vars,ResVars){ |
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return 1$ |
return 1$ |
} |
} |
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def value2(Vars,Ans){ |
def value2(Vars,Ans,Ba){ |
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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 521 def qcheck(PolyList,Vars,FLAG){ |
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Line 524 def qcheck(PolyList,Vars,FLAG){ |
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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)$ |
if(RET0!=[]) |
if(RET0!=[]) |
RET0=wsort(RET0,Vars,RET0,1/10)$ |
RET0=wsort(RET0,Vars,RET0,-1)$ |
} |
} |
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TMP=vtol(TMP1[1])$ |
TMP=vtol(TMP1[1])$ |
Line 531 def qcheck(PolyList,Vars,FLAG){ |
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Line 534 def qcheck(PolyList,Vars,FLAG){ |
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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)$ |
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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){ |
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Line 550 def qcheck(PolyList,Vars,FLAG){ |
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return RET$ |
return RET$ |
} |
} |
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def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
def unitweight2(NormMat0,ExpMat,Vars,FLAG,ID){ |
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RET=[]$ |
RET=[]$ |
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ExpMatRowNum=size(ExpMat)[0]$ |
ExpMatRowNum=size(ExpMat)[0]$ |
ExpMatColNum=size(ExpMat[0])[0]$ |
ExpMatColNum=size(ExpMat[0])[0]$ |
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ExtMatColNum=ExpMatColNum+1$ |
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ExtVars=append(Vars,[uc()])$ |
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if(NormMat==0){ |
if(NormMat==0){ |
NormMat=newmat(ExpMatColNum,ExpMatColNum)$ |
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NormMat0=newvect(ExtMatColNum)$ |
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for(I=0;I<ExtMatColNum;I++) |
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NormMat0[I]=newvect(ExtMatColNum)$ |
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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]* |
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ExpMat[K][J]$ |
} |
} |
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BVec=newvect(ExpMatColNum)$ |
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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]$ |
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SolveList=[]$ |
NormMat0[ExpMatColNum][ExpMatColNum]=ExpMatRowNum$ |
for(I=0;I<ExpMatColNum;I++){ |
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TMP=0$ |
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for(J=0;J<I;J++) |
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TMP+=NormMat[J][I]*Vars[J]$ |
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for(J=I;J<ExpMatColNum;J++) |
WorkMat=newvect(ExtMatColNum)$ |
TMP+=NormMat[I][J]*Vars[J]$ |
for(I=0;I<ExtMatColNum;I++) |
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WorkMat[I]=newvect(ExtMatColNum)$ |
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TMP-=BVec[I]$ |
if(jacobi(ExtMatColNum,NormMat0,WorkMat)){ |
SolveList=cons(TMP,SolveList)$ |
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} |
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Rea=vars(SolveList)$ |
Res=newvect(ExtMatColNum)$ |
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for(I=0;I<ExtMatColNum;I++){ |
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Res[I]=newvect(2)$ |
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Res[I][0]=ExtVars[I]$ |
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Res[I][1]=WorkMat[ExtMatColNum-1][I]$ |
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} |
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VarsList=[]$ |
if(nonposdegchk(Res)){ |
for(I=0;I<length(Vars);I++) |
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if(member(Vars[I],Rea)) |
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VarsList=cons(Vars[I],VarsList)$ |
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Res=solve(SolveList,VarsList)$ |
TMP1=makeret(Res,Vars,1)$ |
Res=getgcd(Res,Rea)$ |
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if(nonposdegchk(Res)){ |
if(FLAG==0){ |
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TMP1=makeret(Res,Vars,1)$ |
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if(FLAG==0){ |
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if(TMP1[0]==0){ |
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TMP=roundret(TMP1[1])$ |
TMP=roundret(TMP1[1])$ |
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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]*1.0),ID))$ |
Line 608 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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Line 605 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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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) |
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RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
TMP=vtol(TMP1[1])$ |
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RET0=[]$ |
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if((TMP0=fixedpoint(TMP,0))!=[]){ |
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for(I=0;I<length(TMP0);I++) |
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TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
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RET0=value2(Vars,TMP)$ |
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if(RET0!=[]) |
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RET0=wsort(RET0,Vars,RET0,ID+1/10)$ |
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} |
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TMP=vtol(TMP1[1])$ |
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if(RET0==[] && (TMP0=fixedpoint(TMP,1))!=[]){ |
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for(I=0;I<length(TMP0);I++) |
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TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
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RET0=value2(Vars,TMP)$ |
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if(RET0!=[]) |
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RET0=wsort(RET0,Vars,RET0,ID+1/10)$ |
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} |
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RET=append(RET,RET0)$ |
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} |
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} |
} |
else if(FLAG==1) |
} |
RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
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} |
return [NormMat0,RET]$ |
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return RET$ |
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} |
} |
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def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
def unitweight1(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
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RET=[]$ |
RET=[]$ |
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Line 657 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
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Line 627 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
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ExtVars=reverse(ExtVars)$ |
ExtVars=reverse(ExtVars)$ |
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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)$ |
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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){ |
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Line 642 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
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for(I=0;I<ExtMatColNum;I++) |
for(I=0;I<ExtMatColNum;I++) |
NormMat1[I]=newvect(ExtMatColNum)$ |
NormMat1[I]=newvect(ExtMatColNum)$ |
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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)$ |
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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 719 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
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Line 687 def unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG){ |
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return [NormMat0,RET]$ |
return [NormMat0,RET]$ |
} |
} |
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def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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RET=[]$ |
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ExpMatRowNum=size(ExpMat)[0]$ |
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ExpMatColNum=size(ExpMat[0])[0]$ |
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if(NormMat==0){ |
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NormMat=newmat(ExpMatColNum,ExpMatColNum)$ |
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for(I=0;I<ExpMatColNum;I++) |
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for(J=I;J<ExpMatColNum;J++) |
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for(K=0;K<ExpMatRowNum;K++) |
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NormMat[I][J]+= |
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ExpMat[K][I]*ExpMat[K][J]$ |
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} |
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BVec=newvect(ExpMatColNum)$ |
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for(I=0;I<ExpMatColNum;I++) |
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for(J=0;J<ExpMatRowNum;J++) |
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BVec[I]+=ExpMat[J][I]$ |
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SolveList=[]$ |
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for(I=0;I<ExpMatColNum;I++){ |
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TMP=0$ |
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for(J=0;J<I;J++) |
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TMP+=NormMat[J][I]*Vars[J]$ |
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for(J=I;J<ExpMatColNum;J++) |
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TMP+=NormMat[I][J]*Vars[J]$ |
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TMP-=BVec[I]$ |
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SolveList=cons(TMP,SolveList)$ |
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} |
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Rea=vars(SolveList)$ |
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VarsList=[]$ |
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for(I=0;I<length(Vars);I++) |
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if(member(Vars[I],Rea)) |
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VarsList=cons(Vars[I],VarsList)$ |
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Res=solve(SolveList,VarsList)$ |
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Res=getgcd(Res,Rea)$ |
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if(nonposdegchk(Res)){ |
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TMP1=makeret(Res,Vars,1)$ |
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if(FLAG==0){ |
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if(TMP1[0]==0){ |
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TMP=roundret(TMP1[1])$ |
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RET=append(RET,wsort(TMP1[1],Vars,map(drint,TMP1[1]*1.0),ID))$ |
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if(TMP!=[]) |
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RET=append(RET,wsort(TMP1[1],Vars,TMP,ID+1))$ |
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} |
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else{ |
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TMP=vtol(TMP1[1])$ |
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RET0=[]$ |
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if((TMP0=fixedpoint(TMP,0))!=[]){ |
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for(I=0;I<length(TMP0);I++) |
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TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
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RET0=value2(Vars,TMP)$ |
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if(RET0!=[]) |
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RET0=wsort(RET0,Vars,RET0,-ID)$ |
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} |
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TMP=vtol(TMP1[1])$ |
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if(RET0==[] && (TMP0=fixedpoint(TMP,1))!=[]){ |
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for(I=0;I<length(TMP0);I++) |
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TMP=map(subst,TMP,TMP0[I][0],TMP0[I][1])$ |
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RET0=value2(Vars,TMP)$ |
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if(RET0!=[]) |
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RET0=wsort(RET0,Vars,RET0,-ID)$ |
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} |
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RET=append(RET,RET0)$ |
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} |
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} |
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else if(FLAG==1) |
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RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
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} |
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return [NormMat0,RET]$ |
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} |
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def weight(PolyList,Vars,FLAG){ |
def weight(PolyList,Vars,FLAG){ |
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Vars0=vars(PolyList)$ |
Vars0=vars(PolyList)$ |
Line 755 def weight(PolyList,Vars,FLAG){ |
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Line 819 def weight(PolyList,Vars,FLAG){ |
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ExpMat=reverse(ExpMat)$ |
ExpMat=reverse(ExpMat)$ |
ExpMat=newvect(length(ExpMat),ExpMat)$ |
ExpMat=newvect(length(ExpMat),ExpMat)$ |
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TMP=unitweight(ExpMat,Vars,PolyListNum,OneMat,FLAG)$ |
TMP=unitweight1(ExpMat,Vars,PolyListNum,OneMat,FLAG)$ |
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if(TMP[1]!=[]) |
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RET=append(RET,TMP[1])$ |
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RET=append(RET,TMP[1])$ |
TMP=unitweight2(TMP[0],ExpMat,Vars,FLAG,3)$ |
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if(TMP[1]!=[]) |
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RET=append(RET,TMP[1])$ |
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else{ |
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TMP=leastsq(0,ExpMat,Vars,FLAG,7)$ |
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RET=append(RET,TMP[1])$ |
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} |
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TMP0=leastsq(TMP[0],ExpMat,Vars,FLAG,3)$ |
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RET=append(RET,TMP0)$ |
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ExpMat=qsort(ExpMat,junban)$ |
ExpMat=qsort(ExpMat,junban)$ |
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ExpMat2=[]$ |
ExpMat2=[]$ |
Line 772 def weight(PolyList,Vars,FLAG){ |
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Line 840 def weight(PolyList,Vars,FLAG){ |
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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=unitweight2(0,ExpMat,Vars,FLAG,5)$ |
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if(TMP[1]!=[]) |
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RET=append(RET,TMP[1])$ |
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else{ |
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TMP=leastsq(0,ExpMat,Vars,FLAG,9)$ |
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RET=append(RET,TMP[1])$ |
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} |
} |
} |
else{ |
else{ |
TMP0=map(ltov,TMP0)$ |
TMP=map(ltov,TMP[1])$ |
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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$ |
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else if(TMP[I][0]==7) |
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TMP[I][0]=9$ |
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else if(TMP[I][0]==8) |
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TMP[I][0]=10$ |
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} |
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TMP0=map(vtol,TMP0)$ |
TMP=map(vtol,TMP)$ |
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RET=append(RET,TMP0)$ |
RET=append(RET,TMP)$ |
} |
} |
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return RET$ |
return RET$ |
} |
} |
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end$ |
end$ |
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