text: //=================================================================================================
  /*!
  //  \file blaze/math/lapack/clapack/unmrq.h
  //  \brief Header file for the CLAPACK unmrq wrapper functions
  //
  //  Copyright (C) 2012-2019 Klaus Iglberger - All Rights Reserved
  //
  //  This file is part of the Blaze library. You can redistribute it and/or modify it under
  //  the terms of the New (Revised) BSD License. Redistribution and use in source and binary
  //  forms, with or without modification, are permitted provided that the following conditions
  //  are met:
  //
  //  1. Redistributions of source code must retain the above copyright notice, this list of
  //     conditions and the following disclaimer.
  //  2. 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.
  //  3. Neither the names of the Blaze development group 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 HOLDER 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.
  */
  //=================================================================================================
  
  #ifndef _BLAZE_MATH_LAPACK_CLAPACK_UNMRQ_H_
  #define _BLAZE_MATH_LAPACK_CLAPACK_UNMRQ_H_
  
  
  //*************************************************************************************************
  // Includes
  //*************************************************************************************************
  
  #include <blaze/util/Complex.h>
  #include <blaze/util/StaticAssert.h>
  #include <blaze/util/Types.h>
  
  
  //=================================================================================================
  //
  //  LAPACK FORWARD DECLARATIONS
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*! \cond BLAZE_INTERNAL */
  #if !defined(INTEL_MKL_VERSION)
  extern "C" {
  
  void cunmrq_( char* side, char* trans, int* m, int* n, int* k, float* A, int* lda,
                float* tau, float* C, int* ldc, float* work, int* lwork, int* info,
                blaze::fortran_charlen_t nside, blaze::fortran_charlen_t ntrans );
  void zunmrq_( char* side, char* trans, int* m, int* n, int* k, double* A, int* lda,
                double* tau, double* C, int* ldc, double* work, int* lwork, int* info,
                blaze::fortran_charlen_t nside, blaze::fortran_charlen_t ntrans );
  
  }
  #endif
  /*! \endcond */
  //*************************************************************************************************
  
  
  
  
  namespace blaze {
  
  //=================================================================================================
  //
  //  LAPACK FUNCTIONS TO MULTIPLY Q FROM A RQ DECOMPOSITION WITH A MATRIX (UNMRQ)
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*!\name LAPACK functions to multiply Q from a RQ decomposition with a matrix (unmrq) */
  //@{
  void unmrq( char side, char trans, int m, int n, int k, const complex<float>* A, int lda,
              const complex<float>* tau, complex<float>* C, int ldc, complex<float>* work,
              int lwork, int* info );
  
  void unmrq( char side, char trans, int m, int n, int k, const complex<double>* A, int lda,
              const complex<double>* tau, complex<double>* C, int ldc, complex<double>* work,
              int lwork, int* info );
  //@}
  //*************************************************************************************************
  
  
  //*************************************************************************************************
  /*!\brief LAPACK kernel for the multiplication of the single precision Q from a RQ decomposition
  //        with another matrix.
  // \ingroup lapack_decomposition
  //
  // \param side \c 'L' to apply \f$ Q \f$ or \f$ Q^H \f$ from the left, \c 'R' to apply from the right.
  // \param trans \c 'N' for \f$ Q \f$, \c 'C' for \f$ Q^H \f$.
  // \param m The number of rows of the matrix \a C \f$[0..\infty)\f$.
  // \param n The number of columns of the matrix \a C \f$[0..\infty)\f$.
  // \param k The number of elementary reflectors, whose product defines the matrix \a Q.
  // \param A Pointer to the first element of the RQ decomposed single precision column-major matrix.
  // \param lda The total number of elements between two columns of the matrix \a A \f$[0..\infty)\f$.
  // \param tau Array for the scalar factors of the elementary reflectors; size >= min( \a m, \a n ).
  // \param C Pointer to the first element of the single precision column-major matrix multiplicator.
  // \param ldc The total number of elements between two columns of the matrix \a C \f$[0..\infty)\f$.
  // \param work Auxiliary array; size >= max( 1, \a lwork ).
  // \param lwork The dimension of the array \a work.
  // \param info Return code of the function call.
  // \return void
  //
  // This function multiplies the \a Q matrix resulting from the RQ decomposition of the sgerqf()
  // function with the given general single precision \a m-by-\a n matrix \a C. Depending on the
  // settings of \a side and \a trans it overwrites \a C with
  
     \code
                  | side = 'L'    | side = 'R'
     -------------|---------------|---------------
     trans = 'N': | Q * C         | C * Q
     trans = 'C': | ctrans(Q) * C | C * ctrans(Q)
     \endcode
  
  // In case \a side is specified as \c 'L', the \a Q matrix is expected to be of size \a m-by-\a m,
  // in case \a side is set to \c 'R', \a Q is expected to be of size \a n-by-\a n.
  //
  // The \a info argument provides feedback on the success of the function call:
  //
  //   - = 0: The decomposition finished successfully.
  //   - < 0: The i-th argument had an illegal value.
  //
  // For more information on the cunmrq() function, see the LAPACK online documentation browser:
  //
  //        http://www.netlib.org/lapack/explore-html/
  //
  // \note This function can only be used if a fitting LAPACK library, which supports this function,
  // is available and linked to the executable. Otherwise a call to this function will result in a
  // linker error.
  */
  inline void unmrq( char side, char trans, int m, int n, int k, const complex<float>* A, int lda,
                     const complex<float>* tau, complex<float>* C, int ldc, complex<float>* work,
                     int lwork, int* info )
  {
     BLAZE_STATIC_ASSERT( sizeof( complex<float> ) == 2UL*sizeof( float ) );
  
  #if defined(INTEL_MKL_VERSION)
     BLAZE_STATIC_ASSERT( sizeof( MKL_INT ) == sizeof( int ) );
     using ET = MKL_Complex8;
  #else
     using ET = float;
  #endif
  
     cunmrq_( &side, &trans, &m, &n, &k,
              const_cast<ET*>( reinterpret_cast<const ET*>( A ) ), &lda,
              const_cast<ET*>( reinterpret_cast<const ET*>( tau ) ),
              reinterpret_cast<ET*>( C ), &ldc, reinterpret_cast<ET*>( work ),
              &lwork, info, blaze::fortran_charlen_t(1), blaze::fortran_charlen_t(1) );
  }
  //*************************************************************************************************
  
  
  //*************************************************************************************************
  /*!\brief LAPACK kernel for the multiplication of the double precision Q from a RQ decomposition
  //        with another matrix.
  // \ingroup lapack_decomposition
  //
  // \param side \c 'L' to apply \f$ Q \f$ or \f$ Q^H \f$ from the left, \c 'R' to apply from the right.
  // \param trans \c 'N' for \f$ Q \f$, \c 'C' for \f$ Q^H \f$.
  // \param m The number of rows of the matrix \a C \f$[0..\infty)\f$.
  // \param n The number of columns of the matrix \a C \f$[0..\infty)\f$.
  // \param k The number of elementary reflectors, whose product defines the matrix \a Q.
  // \param A Pointer to the first element of the RQ decomposed double precision column-major matrix.
  // \param lda The total number of elements between two columns of the matrix \a A \f$[0..\infty)\f$.
  // \param tau Array for the scalar factors of the elementary reflectors; size >= min( \a m, \a n ).
  // \param C Pointer to the first element of the double precision column-major matrix multiplicator.
  // \param ldc The total number of elements between two columns of the matrix \a C \f$[0..\infty)\f$.
  // \param work Auxiliary array; size >= max( 1, \a lwork ).
  // \param lwork The dimension of the array \a work.
  // \param info Return code of the function call.
  // \return void
  //
  // This function multiplies the \a Q matrix resulting from the RQ decomposition of the sgerqf()
  // function with the given general double precision \a m-by-\a n matrix \a C. Depending on the
  // settings of \a side and \a trans it overwrites \a C with
  
     \code
                  | side = 'L'    | side = 'R'
     -------------|---------------|---------------
     trans = 'N': | Q * C         | C * Q
     trans = 'C': | ctrans(Q) * C | C * ctrans(Q)
     \endcode
  
  // In case \a side is specified as \c 'L', the \a Q matrix is expected to be of size \a m-by-\a m,
  // in case \a side is set to \c 'R', \a Q is expected to be of size \a n-by-\a n.
  //
  // The \a info argument provides feedback on the success of the function call:
  //
  //   - = 0: The decomposition finished successfully.
  //   - < 0: The i-th argument had an illegal value.
  //
  // For more information on the zunmrq() function, see the LAPACK online documentation browser:
  //
  //        http://www.netlib.org/lapack/explore-html/
  //
  // \note This function can only be used if a fitting LAPACK library, which supports this function,
  // is available and linked to the executable. Otherwise a call to this function will result in a
  // linker error.
  */
  inline void unmrq( char side, char trans, int m, int n, int k, const complex<double>* A, int lda,
                     const complex<double>* tau, complex<double>* C, int ldc, complex<double>* work,
                     int lwork, int* info )
  {
     BLAZE_STATIC_ASSERT( sizeof( complex<double> ) == 2UL*sizeof( double ) );
  
  #if defined(INTEL_MKL_VERSION)
     BLAZE_STATIC_ASSERT( sizeof( MKL_INT ) == sizeof( int ) );
     using ET = MKL_Complex16;
  #else
     using ET = double;
  #endif
  
     zunmrq_( &side, &trans, &m, &n, &k,
              const_cast<ET*>( reinterpret_cast<const ET*>( A ) ), &lda,
              const_cast<ET*>( reinterpret_cast<const ET*>( tau ) ),
              reinterpret_cast<ET*>( C ), &ldc, reinterpret_cast<ET*>( work ),
              &lwork, info, blaze::fortran_charlen_t(1), blaze::fortran_charlen_t(1) );
  }
  //*************************************************************************************************
  
  } // namespace blaze
  
  #endif
  