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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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1
Task/Determinant-and-permanent/PARI-GP/determinant-and-permanent-1.parigp Normal file
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matdet(M)

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Task/Determinant-and-permanent/PARI-GP/determinant-and-permanent-2.parigp Normal file
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matperm(M)=my(n=#M,t);sum(i=1,n!,t=numtoperm(n,i);prod(j=1,n,M[j,t[j]]))

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Task/Determinant-and-permanent/PARI-GP/determinant-and-permanent-3.parigp Normal file
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matperm(M)=
{
my(n=matsize(M)[1],innerSums=vectorv(n));
if(n==0, return(1));
sum(x=1,2^n-1,
my(k=valuation(x,2),s=M[,k+1],gray=bitxor(x, x>>1));
if(bittest(gray,k),
innerSums += s;
,
innerSums -= s;
);
(-1)^hammingweight(gray)*factorback(innerSums)
)*(-1)^n;
}

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Task/Determinant-and-permanent/PARI-GP/determinant-and-permanent-4.parigp Normal file
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matpermanent(M)