bugfixes in smat and related, mainly for complex hermitian interpretation
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jiri committed
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@@ -1705,8 +1705,8 @@ NRMat< std::complex<double> >::operator+=(const NRSMat< std::complex<double> > &
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p += i + 1;
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}
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p = rhs; p++;
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for(register int i=1; i<nn; i++){
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cblas_zaxpy(i, &CONE, p, 1, (*this)[0]+i, nn);
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for(register int i=1; i<nn; i++){ //upper triangle is conjugated (hermitian)
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for(register int j=0; j<i; ++j) *((*this)[j]+i) += std::conj(p[j]);
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p += i+1;
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}
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#ifdef CUDALA
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@@ -1752,7 +1752,7 @@ NRMat<T> & NRMat<T>::operator+=(const NRSMat<T> &rhs) {
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}
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p = rhs; p++;
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for(register int i=1; i<nn; i++) {
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for(register int j=0; j<i; ++j) *((*this)[j]+i) += p[j];
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for(register int j=0; j<i; ++j) *((*this)[j]+i) += LA_traits<T>::conjugate(p[j]); //hermitian for complex
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p += i+1;
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}
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return *this;
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@@ -1829,8 +1829,8 @@ NRMat<std::complex<double> >::operator-=(const NRSMat<std::complex<double> > &rh
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p += i + 1;
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}
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p = rhs; p++;
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for(register int i=1; i<nn; i++){
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cblas_zaxpy(i, &CMONE, p, 1, (*this)[0]+i, nn);
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for(register int i=1; i<nn; i++){ //upper triangle is conjugated (hermitian)
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for(register int j=0; j<i; ++j) *((*this)[j]+i) -= std::conj(p[j]);
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p += i + 1;
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}
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#ifdef CUDALA
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@@ -1872,7 +1872,7 @@ NRMat<T> & NRMat<T>::operator-=(const NRSMat<T> &rhs) {
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}
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p = rhs; p++;
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for(register int i=1; i<nn; i++){
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for(register int j=0; j<i; ++j) *((*this)[j]+i) -= p[j];
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for(register int j=0; j<i; ++j) *((*this)[j]+i) -= LA_traits<T>::conjugate(p[j]); //hermitian for complex
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p += i+1;
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}
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return *this;
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@@ -675,7 +675,7 @@ NRMat<T>::NRMat(const NRMat &rhs) {
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}
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/***************************************************************************//**
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* create matrix from a \c NRSMat object
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* create matrix from a \c NRSMat object (for complex types hermitian, the upper triangle is conjugated)
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* @param[in] rhs \c NRSMat input object to be converted
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* @see count, v, vec.h, NRSMat<T>
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******************************************************************************/
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@@ -702,13 +702,15 @@ NRMat<T>::NRMat(const NRSMat<T> &rhs) {
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#ifdef MATPTR
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for (i=0; i<nn; i++){
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for (j=0; j<=i; j++){
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v[i][j] = v[j][i] = rhs[k++];
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v[i][j] = rhs[k];
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v[j][i] = LA_traits<T>::conjugate(rhs[k++]);
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}
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}
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#else
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for (i=0; i<nn; i++){
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for (j=0; j<=i; j++){
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v[i*(size_t)nn + j] = v[j*(size_t)nn + i] = rhs[k++];
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v[i*(size_t)nn + j] = rhs[k];
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v[j*(size_t)nn + i] = LA_traits<T>::conjugate(rhs[k++]);
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}
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}
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#endif
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+6
-4
@@ -102,7 +102,8 @@ void lawritemat(FILE *file,const T *a,int r,int c,const char *form0,
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ii=j;
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jj=i;
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}
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fprintf(file, f, ((std::complex<double>)a[ii*(ii+1)/2+jj]).real(), ((std::complex<double>)a[ii*(ii+1)/2+jj]).imag());
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const std::complex<double> x = (std::complex<double>)a[(ii-1)*ii/2+jj-1]; //packed lower triangle, 1-based ii,jj
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fprintf(file, f, x.real(), i>=j ? x.imag() : -x.imag()); //hermitian for complex
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} else fprintf(file, f, ((std::complex<double>)a[(i-1)*c+j-1]).real(), ((std::complex<double>)a[(i-1)*c+j-1]).imag());
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if (j < n2) fputc(' ',file);
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}
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@@ -122,7 +123,8 @@ void lawritemat(FILE *file,const T *a,int r,int c,const char *form0,
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ii=j;
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jj=i;
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}
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fprintf(file, f, ((std::complex<double>)a[ii*(ii+1)/2+jj]).real(), ((std::complex<double>)a[ii*(ii+1)/2+jj]).imag());
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const std::complex<double> x = (std::complex<double>)a[(ii-1)*ii/2+jj-1]; //packed lower triangle, 1-based ii,jj
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fprintf(file, f, x.real(), i>=j ? x.imag() : -x.imag()); //hermitian for complex
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} else fprintf(file,f,((std::complex<double>)a[(i-1)*c+j-1]).real(), ((std::complex<double>)a[(i-1)*c+j-1]).imag());
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putc(j<c?' ':'\n',file);
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}
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@@ -1555,7 +1557,7 @@ const NRSMat<double> realpart<NRSMat< std::complex<double> > >(const NRSMat< std
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#ifdef CUDALA
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if(a.location == cpu){
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#endif
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cblas_dcopy(a.nrows()*(a.ncols()+1)/2, (const double *)(&a(0,0)), 2, result, 1);
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cblas_dcopy(a.nrows()*(a.ncols()+1)/2, (const double *)(&a[0]), 2, result, 1);
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#ifdef CUDALA
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}else{
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laerror("not implemented for cuda yet");
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@@ -1573,7 +1575,7 @@ const NRSMat<double> imagpart<NRSMat< std::complex<double> > >(const NRSMat< std
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if(a.location == cpu){
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#endif
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cblas_dcopy(a.nrows()*(a.ncols()+1)/2, (const double *)(&a(0,0))+1, 2, result, 1);
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cblas_dcopy(a.nrows()*(a.ncols()+1)/2, (const double *)(&a[0])+1, 2, result, 1);
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#ifdef CUDALA
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}else{
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laerror("not implemented for cuda yet");
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@@ -102,7 +102,8 @@ void NRSMat<T>::get(int fd, bool dim, bool transp, bool orcaformat) {
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/***************************************************************************//**
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* constructor symmetrizing given matrix \f$A\f$ of general type <code>T</code> yielding \f$(A+A^\mathrm{T})/2\f$
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* constructor symmetrizing given matrix \f$A\f$ of general type <code>T</code> yielding \f$(A+A^\mathrm{T})/2\f$,
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* for complex types hermitizing it, i.e. yielding \f$(A+A^\dagger)/2\f$
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* @param[in] rhs matrix \f$A\f$
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******************************************************************************/
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template <typename T>
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@@ -122,7 +123,7 @@ NRSMat<T>::NRSMat(const NRMat<T> &rhs) {
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int i, j, k(0);
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for(i=0; i<nn; i++){
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for(j=0; j<=i; j++){
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v[k++] = (rhs[i][j] + rhs[j][i])/((T)2);
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v[k++] = (rhs[i][j] + LA_traits<T>::conjugate(rhs[j][i]))/((T)2);
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}
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}
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}
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@@ -759,7 +760,7 @@ void NRSMat<std::complex<double> >::axpy(const std::complex<double> alpha, const
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#ifdef CUDALA
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if(location == cpu){
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#endif
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cblas_zaxpy(nn, &alpha, x.v, 1, v, 1);
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cblas_zaxpy(NN2, &alpha, x.v, 1, v, 1);
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#ifdef CUDALA
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}else{
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const cuDoubleComplex _alpha = make_cuDoubleComplex(alpha.real(), alpha.imag());
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@@ -31,6 +31,15 @@ namespace LA {
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template<typename T> class NRPerm;
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template<typename T> class NRSMat_from1;
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//return type of the const element access NRSMat<T>::operator(): a reference, except for complex types,
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//where the upper triangle has to be conjugated on the fly
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template<typename T> struct NRSMat_const_element {typedef const T& type;};
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template<typename C> struct NRSMat_const_element<std::complex<C> > {typedef const std::complex<C> type;};
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//conjugation of the stored lower triangle element when the upper triangle element is requested
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template<typename T> inline const T& NRSMat_conj_upper(const T &x) {return x;}
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template<typename C> inline const std::complex<C> NRSMat_conj_upper(const std::complex<C> &x) {return std::conj(x);}
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/***************************************************************************//**
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* This class implements a general symmetric or hermitian matrix the elements
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@@ -154,9 +163,11 @@ public:
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inline const T& operator[](const size_t ij) const;
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inline T& operator[](const size_t ij);
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//NOTE: it stores the matrix as symemtric and operator() assumes it is symmetric, does not support complex hermitean as that would require a smart pointer for l-value version
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//complex conjugation options are available for BLAS routines to facilitate hermitan matrices
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inline const T& operator()(const int i, const int j) const;
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//NOTE: complex NRSMat is hermitian, only the lower triangle is stored, the upper one is its complex conjugate
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//const operator() returns conj(a(j,i)) for i<j (by value for complex types, by reference otherwise)
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//PITFALL: the non-const operator() cannot conjugate (it would need a smart pointer for the l-value), for i<j it returns
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//a reference to the stored element a(j,i) WITHOUT conjugation - this also applies to reading from a non-const complex matrix
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inline typename NRSMat_const_element<T>::type operator()(const int i, const int j) const;
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inline T& operator()(const int i, const int j);
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inline int nrows() const;
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@@ -177,7 +188,7 @@ public:
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{
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T s = NRVec<T>(*this).sum();
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if(onlytriangle) return s;
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s*=2;
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s += LA_traits<T>::conjugate(s); //upper triangle is conjugated for complex (hermitian)
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for(int i=0; i<nn; ++i) s -= (*this)(i,i);
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return s;
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}
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@@ -193,7 +204,16 @@ public:
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return r;
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}
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const NRVec<T> csum() const {return rsum();};
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const NRVec<T> csum() const //differs from rsum() by conjugation for complex (hermitian)
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{
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NRVec<T> r(nn);
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for(int j=0; j<nn;++j)
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{
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r[j]=(T)0;
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for(int i=0; i<nn; ++i) r[j] += (*this)(i,j);
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}
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return r;
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}
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const T trace() const;
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@@ -306,6 +326,7 @@ inline NRSMat<T>::NRSMat(const T *a, const int n) : nn(n), count(new int(1)) {
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location = DEFAULT_LOC;
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if(location == cpu){
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#endif
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v = new T[NN2];
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if(LA_traits<T>::is_plaindata()) memcpy(v, a, NN2*sizeof(T));
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else for( int i=0; i<NN2; i++) v[i] = a[i];
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#ifdef CUDALA
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@@ -763,6 +784,9 @@ return (i>j)? (i-2)*(i-1)/2+j-1 : (j-2)*(j-1)/2+i-1;
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/***************************************************************************//**
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* determine matrix element of this symmetric matrix of general type <code>T</code>
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* PITFALL for complex (hermitian) matrices: for \f$i<j\f$ the reference to the stored element \f$a_{ji}\f$
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* is returned WITHOUT complex conjugation (an l-value cannot be conjugated); this also
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* applies when only reading from a non-const matrix, use the const version or \f$i\geq{}j\f$
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* @param[in] i row index running from 0
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* @param[in] j column index running from 0
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* @return reference to the corresponding matrix element
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@@ -786,14 +810,15 @@ inline T & NRSMat<T>::operator()(const int i, const int j) {
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}
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/***************************************************************************//**
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* determine matrix element of this symmetric matrix of general type <code>T</code>
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* determine matrix element of this symmetric or hermitian matrix of general type <code>T</code>
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* @param[in] i row index running from 0
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* @param[in] j column index running from 0
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* @return constant reference to the corresponding matrix element
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* @return constant reference to the corresponding matrix element; for complex types the value,
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* complex conjugated for \f$i<j\f$ (hermitian matrix)
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* @see count, SMat_index, NRSMat<T>::operator[]
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******************************************************************************/
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template <typename T>
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inline const T & NRSMat<T>::operator()(const int i, const int j) const {
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inline typename NRSMat_const_element<T>::type NRSMat<T>::operator()(const int i, const int j) const {
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#ifdef DEBUG
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if(i<0||i>=nn||j<0||j>=nn) std::cout<<"INDEX PROBLEM "<<0<<" "<<i<<" "<<nn-1<<" "<<0<<" "<<j<<" "<<nn-1<<std::endl;
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if(i<0) laerror("T & NRSMat<T>::operator()(const int, const int) first index out of range - low");
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@@ -805,7 +830,7 @@ inline const T & NRSMat<T>::operator()(const int i, const int j) const {
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#endif
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NOT_GPU(*this);
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return v[SMat_index(i,j)];
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return (i>=j) ? v[SMat_index_igej(i,j)] : NRSMat_conj_upper(v[SMat_index_igej(j,i)]);
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}
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/***************************************************************************//**
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@@ -1284,7 +1309,7 @@ std::istream& operator>>(std::istream &s, NRSMat<T> &x) {
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template <typename T, typename S>
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void NRSMat_convert(NRSMat<T> &a, const NRSMat<S> &b)
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{
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a.resize(b.nrows(),b.ncols());
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a.resize(b.nrows());
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for(int i=0; i<b.nrows(); ++i)
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for(int j=0; j<=i; ++j)
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a(i,j) = (T) b(i,j);
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@@ -1307,7 +1332,7 @@ tmp.printsorted(s,direction,absvalue,stable,thr,topmax,&indexmap);
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* corresponding macro is defined in vec.h
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******************************************************************************/
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NRVECMAT_OPER(SMat,+)
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NRVECMAT_OPER(SMat,-)
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NRVECMAT_OPER_NONCOMMUTATIVE(SMat,-)
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NRVECMAT_OPER(SMat,*)
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/***************************************************************************//**
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@@ -1332,7 +1357,7 @@ public:
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explicit NRSMat_from1(const NRMat<T> &rhs): NRSMat<T>(rhs) {};
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explicit NRSMat_from1(const NRVec<T> &rhs, const int n): NRSMat<T>(rhs,n) {};
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inline const T& operator() (const int i, const int j) const {
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inline typename NRSMat_const_element<T>::type operator() (const int i, const int j) const { //for complex conjugated for i<j, see NRSMat<T>::operator()
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#ifdef DEBUG
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if(i<=0||i>NRSMat<T>::nn||j<=0||j>NRSMat<T>::nn) std::cout<<"INDEX PROBLEM "<<1<<" "<<i<<" "<<NRSMat<T>::nn<<" "<<1<<" "<<j<<" "<<NRSMat<T>::nn<<std::endl;
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if(i<=0) laerror("index in const T& NRSMat_from1<T>::operator() (const int, const int) first indexout of range - low");
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@@ -1340,10 +1365,10 @@ public:
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if(j<=0) laerror("index in const T& NRSMat_from1<T>::operator() (const int, const int) second index out of range - low");
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if(j>NRSMat<T>::nn) laerror("index in const T& NRSMat_from1<T>::operator() (const int, const int) second index out of range - high");
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#endif
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return NRSMat<T>::v[SMat_index_1(i,j)];
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return (i>=j) ? NRSMat<T>::v[SMat_index_1igej(i,j)] : NRSMat_conj_upper(NRSMat<T>::v[SMat_index_1igej(j,i)]);
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}
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inline T& operator() (const int i, const int j){
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inline T& operator() (const int i, const int j){ //PITFALL: no conjugation for complex i<j, see NRSMat<T>::operator()
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#ifdef DEBUG
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if(i<=0||i>NRSMat<T>::nn||j<=0||j>NRSMat<T>::nn) std::cout<<"INDEX PROBLEM "<<1<<" "<<i<<" "<<NRSMat<T>::nn<<" "<<1<<" "<<j<<" "<<NRSMat<T>::nn<<std::endl;
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if(i<=0) laerror("index in const T& NRSMat_from1<T>::operator() (const int, const int) first indexout of range - low");
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@@ -655,7 +655,7 @@ void NRVec<std::complex<double> >::gemv(const double beta, const NRSMat<double>
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* \f[\vec{y}\leftarrow \alpha\operatorname{op}(A)\cdot\vec{x}+\beta\vec{y}\f]
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* @param[in] beta complex parameter \f$\beta\f$
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* @param[in] A <b>complex Hermitian</b> matrix \f$A\f$ stored in packed form
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* @param[in] trans not used
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* @param[in] trans 'n' or 'c' for \f$A\f$, 't' for \f$A^\mathrm{T}=A^*\f$
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* @param[in] alpha complex parameter \f$\alpha\f$
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* @param[in] x complex vector \f$\vec{x}\f$
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* @see gemm, NRSMat<T>
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@@ -674,7 +674,10 @@ void NRVec<std::complex<double> >::gemv(const std::complex<double> beta,
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#ifdef CUDALA
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if(location == cpu){
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#endif
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cblas_zhpmv(CblasRowMajor, CblasLower, A.ncols(), &alpha, A, x.v, 1, &beta, v, 1);
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if(tolower(trans) == 't') //row-major lower packed H is column-major upper packed H^T
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cblas_zhpmv(CblasColMajor, CblasUpper, A.ncols(), &alpha, A, x.v, 1, &beta, v, 1);
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else
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cblas_zhpmv(CblasRowMajor, CblasLower, A.ncols(), &alpha, A, x.v, 1, &beta, v, 1);
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#ifdef CUDALA
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}else{
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const cuDoubleComplex _alpha = make_cuDoubleComplex(alpha.real(), alpha.imag());
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