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 ********************************************************************************
 *   Content : Eigen bindings to LAPACKe
 *    Self-adjoint eigenvalues/eigenvectors.
 ********************************************************************************
*/

#ifndef EIGEN_SAEIGENSOLVER_LAPACKE_H
#define EIGEN_SAEIGENSOLVER_LAPACKE_H

namespace Eigen { 

/** \internal Specialization for the data types supported by LAPACKe */

#define EIGEN_LAPACKE_EIG_SELFADJ(EIGTYPE, LAPACKE_TYPE, LAPACKE_RTYPE, LAPACKE_NAME, EIGCOLROW, LAPACKE_COLROW ) \
template<> template<typename InputType> inline \
SelfAdjointEigenSolver<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >& \
SelfAdjointEigenSolver<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >::compute(const EigenBase<InputType>& matrix, int options) \
{ \
  eigen_assert(matrix.cols() == matrix.rows()); \
  eigen_assert((options&~(EigVecMask|GenEigMask))==0 \
          && (options&EigVecMask)!=EigVecMask \
          && "invalid option parameter"); \
  bool computeEigenvectors = (options&ComputeEigenvectors)==ComputeEigenvectors; \
  lapack_int n = internal::convert_index<lapack_int>(matrix.cols()), lda, matrix_order, info; \
  m_eivalues.resize(n,1); \
  m_subdiag.resize(n-1); \
  m_eivec = matrix; \
\
  if(n==1) \
  { \
    m_eivalues.coeffRef(0,0) = numext::real(m_eivec.coeff(0,0)); \
    if(computeEigenvectors) m_eivec.setOnes(n,n); \
    m_info = Success; \
    m_isInitialized = true; \
    m_eigenvectorsOk = computeEigenvectors; \
    return *this; \
  } \
\
  lda = internal::convert_index<lapack_int>(m_eivec.outerStride()); \
  matrix_order=LAPACKE_COLROW; \
  char jobz, uplo='L'/*, range='A'*/; \
  jobz = computeEigenvectors ? 'V' : 'N'; \
\
  info = LAPACKE_##LAPACKE_NAME( matrix_order, jobz, uplo, n, (LAPACKE_TYPE*)m_eivec.data(), lda, (LAPACKE_RTYPE*)m_eivalues.data() ); \
  m_info = (info==0) ? Success : NoConvergence; \
  m_isInitialized = true; \
  m_eigenvectorsOk = computeEigenvectors; \
  return *this; \
}


EIGEN_LAPACKE_EIG_SELFADJ(double,   double,                double, dsyev, ColMajor, LAPACK_COL_MAJOR)
EIGEN_LAPACKE_EIG_SELFADJ(float,    float,                 float,  ssyev, ColMajor, LAPACK_COL_MAJOR)
EIGEN_LAPACKE_EIG_SELFADJ(dcomplex, lapack_complex_double, double, zheev, ColMajor, LAPACK_COL_MAJOR)
EIGEN_LAPACKE_EIG_SELFADJ(scomplex, lapack_complex_float,  float,  cheev, ColMajor, LAPACK_COL_MAJOR)

EIGEN_LAPACKE_EIG_SELFADJ(double,   double,                double, dsyev, RowMajor, LAPACK_ROW_MAJOR)
EIGEN_LAPACKE_EIG_SELFADJ(float,    float,                 float,  ssyev, RowMajor, LAPACK_ROW_MAJOR)
EIGEN_LAPACKE_EIG_SELFADJ(dcomplex, lapack_complex_double, double, zheev, RowMajor, LAPACK_ROW_MAJOR)
EIGEN_LAPACKE_EIG_SELFADJ(scomplex, lapack_complex_float,  float,  cheev, RowMajor, LAPACK_ROW_MAJOR)

} // end namespace Eigen

#endif // EIGEN_SAEIGENSOLVER_H