text: //=================================================================================================
  /*!
  //  \file blaze/math/lapack/clapack/unglq.h
  //  \brief Header file for the CLAPACK unglq 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_UNGLQ_H_
  #define _BLAZE_MATH_LAPACK_CLAPACK_UNGLQ_H_
  
  
  //*************************************************************************************************
  // Includes
  //*************************************************************************************************
  
  #include <blaze/util/Complex.h>
  #include <blaze/util/StaticAssert.h>
  
  
  //=================================================================================================
  //
  //  LAPACK FORWARD DECLARATIONS
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*! \cond BLAZE_INTERNAL */
  #if !defined(INTEL_MKL_VERSION)
  extern "C" {
  
  void cunglq_( int* m, int* n, int* k, float* A, int* lda, float* tau,
                float* work, int* lwork, int* info );
  void zunglq_( int* m, int* n, int* k, double* A, int* lda, double* tau,
                double* work, int* lwork, int* info );
  
  }
  #endif
  /*! \endcond */
  //*************************************************************************************************
  
  
  
  
  namespace blaze {
  
  //=================================================================================================
  //
  //  LAPACK FUNCTIONS TO RECONSTRUCT Q FROM A LQ DECOMPOSITION (UNGLQ)
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*!\name LAPACK functions to reconstruct Q from a LQ decomposition (unglq) */
  //@{
  inline void unglq( int m, int n, int k, complex<float>* A, int lda, const complex<float>* tau,
                     complex<float>* work, int lwork, int* info );
  
  inline void unglq( int m, int n, int k, complex<double>* A, int lda, const complex<double>* tau,
                     complex<double>* work, int lwork, int* info );
  //@}
  //*************************************************************************************************
  
  
  //*************************************************************************************************
  /*!\brief LAPACK kernel for the reconstruction of the orthogonal matrix Q from a LQ decomposition.
  // \ingroup lapack_decomposition
  //
  // \param m The number of rows of the given matrix \f$[0..n)\f$.
  // \param n The number of columns of the given matrix \f$[0..\infty)\f$.
  // \param k The number of elementary reflectors, whose product defines the matrix \f$[0..m)\f$.
  // \param A Pointer to the first element of the single precision complex column-major matrix.
  // \param lda The total number of elements between two columns of the matrix \f$[0..\infty)\f$.
  // \param tau Array for the scalar factors of the elementary reflectors; size >= min( \a m, \a n ).
  // \param work Auxiliary array; size >= max( 1, \a lwork ).
  // \param lwork The dimension of the array \a work; size >= max( 1, \a n ).
  // \param info Return code of the function call.
  // \return void
  //
  // This function generates all or part of the orthogonal matrix Q from a LQ decomposition based on
  // the LAPACK cunglq() function for single precision complex column-major matrices that have already
  // been factorized by the cgelqf() function. 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 cunglq() 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 unglq( int m, int n, int k, complex<float>* A, int lda, const complex<float>* tau,
                     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
  
     cunglq_( &m, &n, &k, reinterpret_cast<ET*>( A ), &lda,
              const_cast<ET*>( reinterpret_cast<const ET*>( tau ) ),
              reinterpret_cast<ET*>( work ), &lwork, info );
  }
  //*************************************************************************************************
  
  
  //*************************************************************************************************
  /*!\brief LAPACK kernel for the reconstruction of the orthogonal matrix Q from a LQ decomposition.
  // \ingroup lapack_decomposition
  //
  // \param m The number of rows of the given matrix \f$[0..n)\f$.
  // \param n The number of columns of the given matrix \f$[0..\infty)\f$.
  // \param k The number of elementary reflectors, whose product defines the matrix \f$[0..m)\f$.
  // \param A Pointer to the first element of the double precision complex column-major matrix.
  // \param lda The total number of elements between two columns of the matrix \f$[0..\infty)\f$.
  // \param tau Array for the scalar factors of the elementary reflectors; size >= min( \a m, \a n ).
  // \param work Auxiliary array; size >= max( 1, \a lwork ).
  // \param lwork The dimension of the array \a work; size >= max( 1, \a n ).
  // \param info Return code of the function call.
  // \return void
  //
  // This function generates all or part of the orthogonal matrix Q from a LQ decomposition based on
  // the LAPACK zunglq() function for double precision complex column-major matrices that have already
  // been factorized by the zgelqf() function. 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 zunglq() 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 unglq( int m, int n, int k, complex<double>* A, int lda, const complex<double>* tau,
                     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
  
     zunglq_( &m, &n, &k, reinterpret_cast<ET*>( A ), &lda,
              const_cast<ET*>( reinterpret_cast<const ET*>( tau ) ),
              reinterpret_cast<ET*>( work ), &lwork, info );
  }
  //*************************************************************************************************
  
  } // namespace blaze
  
  #endif
  