version 1.20, 2004/01/07 08:11:51 |
version 1.25, 2004/01/08 15:58:58 |
Line 112 def jacobi(N,A,W){ |
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Line 112 def jacobi(N,A,W){ |
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return 1; |
return 1; |
} |
} |
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def interval2value(A,Vars){ |
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B=atl(A)$ |
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if(length(B)>2){ |
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print("bug")$ |
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return []$ |
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} |
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if(length(B)==0){ |
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if(A) |
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return [Vars,1]$ |
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else |
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return []$ |
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} |
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else if(length(B)==1){ |
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C=fargs(B[0])$ |
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D=vars(C)$ |
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E=solve(C,D)$ |
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if(fop(B[0])==15) |
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return [Vars,E[0][1]+1]$ |
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else if(fop(B[0])==11) |
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return [Vars,E[0][1]-1]$ |
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else if(fop(B[0])==8) |
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return [Vars,E[0][1]]$ |
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else |
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return []$ |
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} |
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else{ |
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C=fargs(B[0])$ |
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D=vars(C)$ |
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E=solve(C,D)$ |
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C=fargs(B[1])$ |
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D=vars(C)$ |
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F=solve(C,D)$ |
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return [Vars,(E[0][1]+F[0][1])/2]$ |
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} |
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} |
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def fixpointmain(F,Vars){ |
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RET=[]$ |
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for(I=length(Vars)-1;I>=1;I--){ |
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for(H=[],J=0;J<I;J++) |
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H=cons(Vars[J],H)$ |
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G=interval2value(qe(ex(H,F)),Vars[I])$ |
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if(G==[]) |
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return RET$ |
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else |
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RET=cons(G,RET)$ |
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F=subf(F,G[0],G[1])$ |
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} |
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G=interval2value(simpl(F),Vars[0])$ |
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if(G==[]) |
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return RET$ |
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else |
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RET=cons(G,RET)$ |
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return RET$ |
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} |
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def fixedpoint(A,FLAG){ |
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Vars=vars(A)$ |
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N=length(A)$ |
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if (FLAG==0) |
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for(F=@true,I=0;I < N; I++ ) { F = F @&& A[I] @> 0$ } |
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else if (FLAG==1) |
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for(F=@true,I=0;I < N; I++ ) { F = F @&& A[I] @< 0$ } |
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return fixpointmain(F,Vars)$ |
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} |
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def nonzerovec(A){ |
def nonzerovec(A){ |
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for(I=0;I<size(A)[0];I++) |
for(I=0;I<size(A)[0];I++) |
Line 449 def checktd(PolyList,Vars,ResVars){ |
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Line 537 def checktd(PolyList,Vars,ResVars){ |
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return 1$ |
return 1$ |
} |
} |
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def value2(Vars,Ans){ |
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N=length(Vars)$ |
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Res=newvect(N)$ |
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for(I=0;I<N;I++){ |
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Res[I]=newvect(2)$ |
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Res[I][0]=Vars[I]$ |
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Res[I][1]=Ans[I]$ |
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} |
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Res=getgcd(Res,Vars)$ |
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if(nonposdegchk(Res)){ |
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TMP1=makeret(Res,Vars,1)$ |
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return vtol(TMP1[1])$ |
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} |
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else |
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return []$ |
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} |
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def qcheck(PolyList,Vars,FLAG){ |
def qcheck(PolyList,Vars,FLAG){ |
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RET=[]$ |
RET=[]$ |
Line 490 def qcheck(PolyList,Vars,FLAG){ |
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Line 598 def qcheck(PolyList,Vars,FLAG){ |
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return RET$ |
return RET$ |
} |
} |
else{ |
else{ |
RET=append(RET,[[0,Vars,vtol(ResVars[1])]])$ |
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TMP=vtol(ResVars[1])$ |
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/* |
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RET=append(RET,[[0,Vars,TMP]])$ |
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*/ |
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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], |
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TMP0[I][1])$ |
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TMP=value2(Vars,TMP)$ |
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if(TMP!=[]) |
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RET=append(RET,wsort(TMP,Vars, |
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TMP,FLAG,1/10))$ |
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} |
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else if((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], |
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TMP0[I][1])$ |
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TMP=value2(Vars,TMP)$ |
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if(TMP!=[]) |
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RET=append(RET,wsort(TMP,Vars, |
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TMP,FLAG,1/10))$ |
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} |
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return RET$ |
return RET$ |
} |
} |
} |
} |
Line 553 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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Line 692 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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TMP1=makeret(Res,Vars,1)$ |
TMP1=makeret(Res,Vars,1)$ |
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if(TMP1[0]==0){ |
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, |
RET=append(RET,wsort(TMP1[1],Vars, |
Line 565 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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Line 705 def leastsq(NormMat,ExpMat,Vars,FLAG,ID){ |
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return RET$ |
return RET$ |
} |
} |
else{ |
else{ |
RET=append(RET,[[ID,Vars,vtol(TMP1[1]*1.0)]])$ |
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TMP=vtol(TMP1[1])$ |
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/* |
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RET=append(RET,[[ID,Vars,vtol(TMP1[1])]])$ |
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*/ |
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if((TMP0=fixedpoint(TMP1[1],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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TMP=value2(Vars,TMP)$ |
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if(TMP!=[]) |
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RET=append(RET, |
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wsort(TMP,Vars,TMP,FLAG,ID+1/10))$ |
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} |
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else if((TMP0=fixedpoint(TMP1[1],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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TMP=value2(Vars,TMP)$ |
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if(TMP!=[]) |
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RET=append(RET, |
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wsort(TMP,Vars,TMP,FLAG,ID+1/10))$ |
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} |
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return RET$ |
return RET$ |
} |
} |
} |
} |
Line 707 def weight(PolyList,Vars,FLAG){ |
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Line 877 def weight(PolyList,Vars,FLAG){ |
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} |
} |
else{ |
else{ |
TMP0=map(ltov,TMP0)$ |
TMP0=map(ltov,TMP0)$ |
TMP0=ltov(TMP0)$ |
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for(I=0;I<length(TMP0);I++) |
for(I=0;I<length(TMP0);I++) |
if(TMP0[I][0]==3) |
if(TMP0[I][0]==3) |
Line 716 def weight(PolyList,Vars,FLAG){ |
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Line 885 def weight(PolyList,Vars,FLAG){ |
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TMP0[I][0]=6$ |
TMP0[I][0]=6$ |
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TMP0=map(vtol,TMP0)$ |
TMP0=map(vtol,TMP0)$ |
TMP0=vtol(TMP0)$ |
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RET=append(RET,TMP0)$ |
RET=append(RET,TMP0)$ |
} |
} |