text: /*
   Copyright (c) 2011, Intel Corporation. All rights reserved.
  
   Redistribution and use in source and binary forms, with or without modification,
   are permitted provided that the following conditions are met:
  
   * Redistributions of source code must retain the above copyright notice, this
     list of conditions and the following disclaimer.
   * Redistributions in binary form must reproduce the above copyright notice,
     this list of conditions and the following disclaimer in the documentation
     and/or other materials provided with the distribution.
   * Neither the name of Intel Corporation nor the names of its contributors may
     be used to endorse or promote products derived from this software without
     specific prior written permission.
  
   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
   ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
   WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
   DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
   ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
   (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
   LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
   ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
   (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  
   ********************************************************************************
   *   Content : Eigen bindings to Intel(R) MKL
   *    Real Schur needed to real unsymmetrical eigenvalues/eigenvectors.
   ********************************************************************************
  */
  
  #ifndef EIGEN_REAL_SCHUR_MKL_H
  #define EIGEN_REAL_SCHUR_MKL_H
  
  #include "Eigen/src/Core/util/MKL_support.h"
  
  namespace Eigen { 
  
  /** \internal Specialization for the data types supported by MKL */
  
  #define EIGEN_MKL_SCHUR_REAL(EIGTYPE, MKLTYPE, MKLPREFIX, MKLPREFIX_U, EIGCOLROW, MKLCOLROW) \
  template<> inline \
  RealSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >& \
  RealSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >::compute(const Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW>& matrix, bool computeU) \
  { \
    eigen_assert(matrix.cols() == matrix.rows()); \
  \
    lapack_int n = matrix.cols(), sdim, info; \
    lapack_int lda = matrix.outerStride(); \
    lapack_int matrix_order = MKLCOLROW; \
    char jobvs, sort='N'; \
    LAPACK_##MKLPREFIX_U##_SELECT2 select = 0; \
    jobvs = (computeU) ? 'V' : 'N'; \
    m_matU.resize(n, n); \
    lapack_int ldvs  = m_matU.outerStride(); \
    m_matT = matrix; \
    Matrix<EIGTYPE, Dynamic, Dynamic> wr, wi; \
    wr.resize(n, 1); wi.resize(n, 1); \
    info = LAPACKE_##MKLPREFIX##gees( matrix_order, jobvs, sort, select, n, (MKLTYPE*)m_matT.data(), lda, &sdim, (MKLTYPE*)wr.data(), (MKLTYPE*)wi.data(), (MKLTYPE*)m_matU.data(), ldvs ); \
    if(info == 0) \
      m_info = Success; \
    else \
      m_info = NoConvergence; \
  \
    m_isInitialized = true; \
    m_matUisUptodate = computeU; \
    return *this; \
  \
  }
  
  EIGEN_MKL_SCHUR_REAL(double,   double, d, D, ColMajor, LAPACK_COL_MAJOR)
  EIGEN_MKL_SCHUR_REAL(float,    float,  s, S, ColMajor, LAPACK_COL_MAJOR)
  EIGEN_MKL_SCHUR_REAL(double,   double, d, D, RowMajor, LAPACK_ROW_MAJOR)
  EIGEN_MKL_SCHUR_REAL(float,    float,  s, S, RowMajor, LAPACK_ROW_MAJOR)
  
  } // end namespace Eigen
  
  #endif // EIGEN_REAL_SCHUR_MKL_H
  