simple.h and simple.cc for algorithms independent on external libraries

This commit is contained in:
2021-11-21 22:22:01 +01:00
parent 0b3a6c5473
commit 060163d4c4
5 changed files with 141 additions and 63 deletions

View File

@@ -157,67 +157,6 @@ public:
};
//a simple gauss elimination as a template also for larger-size matrices in form of C-style arrays
#define SWAP(a,b) {T temp=(a);(a)=(b);(b)=temp;}
template<typename T, int n, int m>
T simple_gaussj(T (&a)[n][n],T (&b)[m][n]) //returns determinant, m is number of rhs to solve
{
int indxc[n],indxr[n],ipiv[n];
int i,icol,irow,j,k,l,ll;
T det,big,dum,pivinv;
det=1;
for (j=0;j<n;j++) ipiv[j]=0;
for (i=0;i<n;i++) {
big=0.0;
for (j=0;j<n;j++)
if (ipiv[j] != 1)
for (k=0;k<n;k++) {
if (ipiv[k] == 0) {
if (abs(a[j][k]) >= big) {
big=abs(a[j][k]);
irow=j;
icol=k;
}
} else if (ipiv[k] > 1) {return 0;}
}
++(ipiv[icol]);
if (irow != icol) {
det = (-det);
for (l=0;l<n;l++) SWAP(a[irow][l],a[icol][l])
for (l=0;l<m;l++) SWAP(b[l][irow],b[l][icol])
}
indxr[i]=irow;
indxc[i]=icol;
if (a[icol][icol] == 0) {return 0;}
pivinv=1/a[icol][icol];
det *= a[icol][icol];
a[icol][icol]=1.0;
for (l=0;l<n;l++) a[icol][l] *= pivinv;
for (l=0;l<m;l++) b[l][icol] *= pivinv;
for (ll=0;ll<n;ll++)
if (ll != icol) {
dum=a[ll][icol];
a[ll][icol]=0.0;
for (l=0;l<n;l++) a[ll][l] -= a[icol][l]*dum;
for (l=0;l<m;l++) b[l][ll] -= b[l][icol]*dum;
}
}
for (l=n-1;l>=0;l--) {
if (indxr[l] != indxc[l])
for (k=0;k<n;k++)
SWAP(a[k][indxr[l]],a[k][indxc[l]]);
}
return det;
}
#undef SWAP
//stream I/O
#ifndef AVOID_STDSTREAM
template <typename T>