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39
nonclass.h
39
nonclass.h
@@ -66,11 +66,12 @@ declare_la(complex<double>)
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// Separate declarations
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//general nonsymmetric matrix and generalized diagonalization
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extern void gdiagonalize(NRMat<double> &a, NRVec<double> &wr, NRVec<double> &wi,
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NRMat<double> *vl, NRMat<double> *vr, const bool corder=1, int n=0,
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NRMat<double> *vl, NRMat<double> *vr, const bool corder=1, int n=0, const int sorttype=0, const bool biorthonormalize=0,
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NRMat<double> *b=NULL, NRVec<double> *beta=NULL);
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extern void gdiagonalize(NRMat<double> &a, NRVec< complex<double> > &w,
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NRMat< complex<double> >*vl, NRMat< complex<double> > *vr,
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const bool corder=1, int n=0, NRMat<double> *b=NULL, NRVec<double> *beta=NULL);
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const bool corder=1, int n=0, const int sorttype=0, const bool biorthonormalize=0,
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NRMat<double> *b=NULL, NRVec<double> *beta=NULL);
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extern NRMat<double> matrixfunction(NRSMat<double> a, double (*f) (double));
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extern NRMat<double> matrixfunction(NRMat<double> a, complex<double> (*f)(const complex<double> &),const bool adjust=0);
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@@ -100,7 +101,7 @@ const NRMat<T> inverse(NRMat<T> a, T *det=0)
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//general determinant
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template<class MAT>
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const typename LA_traits<MAT>::elementtype determinant(MAT a)//again passed by value
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const typename LA_traits<MAT>::elementtype determinant(MAT a)//passed by value
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{
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typename LA_traits<MAT>::elementtype det;
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if(a.nrows()!=a.ncols()) laerror("determinant of non-square matrix");
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@@ -108,6 +109,38 @@ linear_solve(a,NULL,&det);
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return det;
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}
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//general determinant destructive on input
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template<class MAT>
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const typename LA_traits<MAT>::elementtype determinant_destroy(MAT &a) //passed by reference
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{
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typename LA_traits<MAT>::elementtype det;
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if(a.nrows()!=a.ncols()) laerror("determinant of non-square matrix");
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linear_solve(a,NULL,&det);
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return det;
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}
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//general submatrix
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template<class MAT, class INDEX>
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const NRMat<typename LA_traits<MAT>::elementtype> submatrix(const MAT a, const INDEX rows, const INDEX cols, int indexshift=0, bool ignoresign=false)
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{
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NRMat<typename LA_traits<MAT>::elementtype> r(rows.size(),cols.size());
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if(ignoresign)
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{
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for(int i=0; i<rows.size(); ++i)
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for(j=0; j<cols.size(); ++j)
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r(i,j) = a(abs(rows[i])+indexshift,abs(cols[j])+indexshift);
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}
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else
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{
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for(int i=0; i<rows.size(); ++i)
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for(j=0; j<cols.size(); ++j)
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r(i,j) = a(rows[i]+indexshift,cols[j]+indexshift);
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}
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return r;
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}
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//auxiliary routine to adjust eigenvectors to guarantee real logarithm
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extern void adjustphases(NRMat<double> &v);
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