compute_hh_trafo.X90 50.6 KB
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#if 0
!    This file is part of ELPA.
!
!    The ELPA library was originally created by the ELPA consortium,
!    consisting of the following organizations:
!
!    - Max Planck Computing and Data Facility (MPCDF), formerly known as
!      Rechenzentrum Garching der Max-Planck-Gesellschaft (RZG),
!    - Bergische Universität Wuppertal, Lehrstuhl für angewandte
!      Informatik,
!    - Technische Universität München, Lehrstuhl für Informatik mit
!      Schwerpunkt Wissenschaftliches Rechnen ,
!    - Fritz-Haber-Institut, Berlin, Abt. Theorie,
!    - Max-Plack-Institut für Mathematik in den Naturwissenschaften,
!      Leipzig, Abt. Komplexe Strukutren in Biologie und Kognition,
!      and
!    - IBM Deutschland GmbH
!
!
!    More information can be found here:
!    http://elpa.mpcdf.mpg.de/
!
!    ELPA is free software: you can redistribute it and/or modify
!    it under the terms of the version 3 of the license of the
!    GNU Lesser General Public License as published by the Free
!    Software Foundation.
!
!    ELPA is distributed in the hope that it will be useful,
!    but WITHOUT ANY WARRANTY; without even the implied warranty of
!    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
!    GNU Lesser General Public License for more details.
!
!    You should have received a copy of the GNU Lesser General Public License
!    along with ELPA.  If not, see <http://www.gnu.org/licenses/>
!
!    ELPA reflects a substantial effort on the part of the original
!    ELPA consortium, and we ask you to respect the spirit of the
!    license that we chose: i.e., please contribute any changes you
!    may have back to the original ELPA library distribution, and keep
!    any derivatives of ELPA under the same license that we chose for
!    the original distribution, the GNU Lesser General Public License.
!
! This file was written by A. Marek, MPCDF
#endif

       subroutine compute_hh_trafo_&
       &MATH_DATATYPE&
#ifdef WITH_OPENMP
       &_cpu_openmp_&
#else
       &_cpu_&
#endif
       &PRECISION &
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       (a, &
#if REALCASE == 1
       a_dev, &
#endif
       stripe_width, a_dim2, stripe_count,  &
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#ifdef WITH_OPENMP
       max_threads, l_nev, &
#endif
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       a_off, nbw, max_blk_size, bcast_buffer, &
#if REALCASE == 1
       bcast_buffer_dev, hh_dot_dev, hh_tau_dev, &
#endif
       kernel_flops, kernel_time, &
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       off, ncols, istripe, &
#ifdef WITH_OPENMP
       my_thread, thread_width, &
#else
       last_stripe_width, &
#endif
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#if REALCASE == 1
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       THIS_REAL_ELPA_KERNEL)
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#endif
#if COMPLEXCASE == 1
       THIS_COMPLEX_ELPA_KERNEL)
#endif
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         use precision
         use elpa2_utilities
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         use iso_c_binding
#if REALCASE == 1
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         use single_hh_trafo_real
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#if defined(WITH_REAL_GENERIC_SIMPLE_KERNEL) && !(defined(USE_ASSUMED_SIZE))
         use real_generic_simple_kernel !, only : double_hh_trafo_generic_simple
#endif

#if defined(WITH_REAL_GENERIC_KERNEL) && !(defined(USE_ASSUMED_SIZE))
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         use real_generic_kernel !, only : double_hh_trafo_generic
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#endif

#if defined(WITH_REAL_BGP_KERNEL)
         use real_bgp_kernel !, only : double_hh_trafo_bgp
#endif

#if defined(WITH_REAL_BGQ_KERNEL)
         use real_bgq_kernel !, only : double_hh_trafo_bgq
#endif
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#endif /* REALCASE */

#if COMPLEXCASE == 1

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#if defined(WITH_COMPLEX_GENERIC_SIMPLE_KERNEL) && !(defined(USE_ASSUMED_SIZE))
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           use complex_generic_simple_kernel !, only : single_hh_trafo_complex_generic_simple
#endif
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#if defined(WITH_COMPLEX_GENERIC_KERNEL) && !(defined(USE_ASSUMED_SIZE))
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           use complex_generic_kernel !, only : single_hh_trafo_complex_generic
#endif

#endif /* COMPLEXCASE */

#if REALCASE == 1
         use cuda_c_kernel
         use cuda_functions
#endif

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#ifdef HAVE_DETAILED_TIMINGS
         use timings
#else
         use timings_dummy
#endif

#if defined(HAVE_AVX) || defined(HAVE_AVX2) || defined(HAVE_SSE_INTRINSICS) || defined(HAVE_SSE_ASSEMBLY) || defined(HAVE_AVX512)
         use kernel_interfaces
#endif
         implicit none
         real(kind=c_double), intent(inout) :: kernel_time  ! MPI_WTIME always needs double
         integer(kind=lik)                  :: kernel_flops
         integer(kind=ik), intent(in)       :: nbw, max_blk_size
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#if REALCASE == 1
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         real(kind=C_DATATYPE_KIND)         :: bcast_buffer(nbw,max_blk_size)
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#endif
#if COMPLEXCASE == 1
         complex(kind=C_DATATYPE_KIND)      :: bcast_buffer(nbw,max_blk_size)
#endif
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         integer(kind=ik), intent(in)       :: a_off

         integer(kind=ik), intent(in)       :: stripe_width,a_dim2,stripe_count

#ifndef WITH_OPENMP
         integer(kind=ik), intent(in)       :: last_stripe_width
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#if REALCASE == 1
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!         real(kind=C_DATATYPE_KIND)        :: a(stripe_width,a_dim2,stripe_count)
         real(kind=C_DATATYPE_KIND), pointer:: a(:,:,:)
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#endif
#if COMPLEXCASE == 1
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!          complex(kind=C_DATATYPE_KIND)      :: a(stripe_width,a_dim2,stripe_count)
          complex(kind=C_DATATYPE_KIND),pointer :: a(:,:,:)
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#endif

#else /* WITH_OPENMP */
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         integer(kind=ik), intent(in)       :: max_threads, l_nev, thread_width
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#if REALCASE == 1
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!         real(kind=C_DATATYPE_KIND)        :: a(stripe_width,a_dim2,stripe_count,max_threads)
         real(kind=C_DATATYPE_KIND), pointer:: a(:,:,:,:)
#endif
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#if COMPLEXCASE == 1
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!          complex(kind=C_DATATYPE_KIND)      :: a(stripe_width,a_dim2,stripe_count,max_threads)
          complex(kind=C_DATATYPE_KIND),pointer      :: a(:,:,:,:)
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#endif

#endif /* WITH_OPENMP */

#if REALCASE == 1
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         integer(kind=ik), intent(in)       :: THIS_REAL_ELPA_KERNEL
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#endif
#if COMPLEXCASE ==1
         integer(kind=ik), intent(in)       :: THIS_COMPLEX_ELPA_KERNEL
#endif
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#if REALCASE == 1
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         integer(kind=c_intptr_t)           :: a_dev
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	 integer(kind=c_intptr_t)           :: bcast_buffer_dev
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         integer(kind=c_intptr_t)           :: hh_dot_dev
         integer(kind=c_intptr_t)           :: hh_tau_dev
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         integer(kind=c_intptr_t)             :: dev_offset
#endif
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         ! Private variables in OMP regions (my_thread) should better be in the argument list!
         integer(kind=ik)                   :: off, ncols, istripe
#ifdef WITH_OPENMP
         integer(kind=ik)                   :: my_thread, noff
#endif
         integer(kind=ik)                   :: j, nl, jj, jjj
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#if REALCASE == 1
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         real(kind=C_DATATYPE_KIND)         :: w(nbw,6)
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#endif
#if COMPLEXCASE == 1
         complex(kind=C_DATATYPE_KIND)      :: w(nbw,2)
#endif
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         real(kind=c_double)                :: ttt ! MPI_WTIME always needs double

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#if REALCASE == 1
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         if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GPU) then
           ! ncols - indicates the number of HH reflectors to apply; at least 1 must be available
           if (ncols < 1) return
         endif
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#endif
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         call timer%start("compute_hh_trafo_&
	 &MATH_DATATYPE&
#ifdef WITH_OPENMP
         &_cpu_openmp" // &
#else
         &_cpu" // &
#endif
         &PRECISION_SUFFIX &
         )


#ifdef WITH_OPENMP
         if (my_thread==1) then
#endif
           ttt = mpi_wtime()
#ifdef WITH_OPENMP
         endif
#endif


#ifndef WITH_OPENMP
         nl = merge(stripe_width, last_stripe_width, istripe<stripe_count)
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#else /* WITH_OPENMP */

#if REALCASE == 1
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         if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GPU) then
           print *,"compute_hh_trafo_&
	   &MATH_DATATYPE&
	   &_GPU OPENMP: not yet implemented"
           stop 1
         endif
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#endif
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         if (istripe<stripe_count) then
           nl = stripe_width
         else
           noff = (my_thread-1)*thread_width + (istripe-1)*stripe_width
           nl = min(my_thread*thread_width-noff, l_nev-noff)
           if (nl<=0) then
             call timer%stop("compute_hh_trafo_&
	     &MATH_DATATYPE&
#ifdef WITH_OPENMP
             &_cpu_openmp" // &
#else
             &_cpu" // &
#endif
             &PRECISION_SUFFIX &
             )

             return
           endif
         endif
#endif /* not WITH_OPENMP */

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#if REALCASE == 1
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         if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GPU) then
           dev_offset = (0 + (a_off * stripe_width) + ( (istripe - 1) * stripe_width *a_dim2 )) *size_of_&
	                &PRECISION&
			&_&
			&MATH_DATATYPE
           call launch_compute_hh_trafo_c_kernel_&
	   &MATH_DATATYPE&
	   &_&
	   &PRECISION&
	   & (a_dev + dev_offset, bcast_buffer_dev, hh_dot_dev, hh_tau_dev, nl, nbw, stripe_width, off, ncols)
         else ! not CUDA kernel
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#endif /* REALCASE */
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#if REALCASE == 1
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#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
         if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX_BLOCK2 .or. &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX2_BLOCK2 .or. &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX512_BLOCK2 .or. &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_SSE_BLOCK2 .or. &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GENERIC    .or. &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GENERIC_SIMPLE .or. &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_SSE .or.        &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_BGP .or.        &
             THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_BGQ) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

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#endif /* REALCASE */
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


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             !FORTRAN CODE / X86 INRINISIC CODE / BG ASSEMBLER USING 2 HOUSEHOLDER VECTORS
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#if REALCASE == 1
! generic kernel real case
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#if defined(WITH_REAL_GENERIC_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GENERIC) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)

#ifdef WITH_OPENMP

#ifdef USE_ASSUMED_SIZE
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_&
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		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe,my_thread), w, nbw, nl, stripe_width, nbw)

#else
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_&
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		 &PRECISION&
		 & (a(1:stripe_width,j+off+a_off-1:j+off+a_off+nbw-1, istripe,my_thread), w(1:nbw,1:6), &
                    nbw, nl, stripe_width, nbw)
#endif

#else /* WITH_OPENMP */

#ifdef USE_ASSUMED_SIZE
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_&
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		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe),w, nbw, nl, stripe_width, nbw)

#else
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_&
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		 &PRECISION&
		 & (a(1:stripe_width,j+off+a_off-1:j+off+a_off+nbw-1,istripe),w(1:nbw,1:6), nbw, nl, stripe_width, nbw)
#endif
#endif /* WITH_OPENMP */

               enddo

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_GENERIC_KERNEL */

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#endif /* REALCASE == 1 */

#if COMPLEXCASE == 1
! generic kernel complex case
#if defined(WITH_COMPLEX_GENERIC_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           if (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_GENERIC .or. &
               THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_BGP .or. &
               THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_BGQ ) then
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
             ttt = mpi_wtime()
             do j = ncols, 1, -1
#ifdef WITH_OPENMP
#ifdef USE_ASSUMED_SIZE

              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_generic_&
	      &PRECISION&
	      & (a(1,j+off+a_off,istripe,my_thread), bcast_buffer(1,j+off),nbw,nl,stripe_width)
#else
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_generic_&
	      &PRECISION&
	      & (a(1:stripe_width,j+off+a_off:j+off+a_off+nbw-1,istripe,my_thread), bcast_buffer(1:nbw,j+off),nbw,nl,stripe_width)
#endif
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#else /* WITH_OPENMP */

#ifdef USE_ASSUMED_SIZE
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_generic_&
	      &PRECISION&
	      & (a(1,j+off+a_off,istripe), bcast_buffer(1,j+off),nbw,nl,stripe_width)
#else
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_generic_&
	      &PRECISION&
	      & (a(1:stripe_width,j+off+a_off:j+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,j+off),nbw,nl,stripe_width)
#endif
#endif /* WITH_OPENMP */

            enddo
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          endif ! (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_GENERIC .or. THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_BGP .or. THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_BGQ )
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_GENERIC_KERNEL */

#endif /* COMPLEXCASE */

#if REALCASE == 1
! generic simple real kernel
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#if defined(WITH_REAL_GENERIC_SIMPLE_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_GENERIC_SIMPLE) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP

#ifdef USE_ASSUMED_SIZE
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_simple_&
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		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe,my_thread), w, nbw, nl, stripe_width, nbw)
#else
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_simple_&
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		 &PRECISION&
		 & (a(1:stripe_width,j+off+a_off-1:j+off+a_off-1+nbw,istripe,my_thread), w, nbw, nl, stripe_width, nbw)

#endif

#else /* WITH_OPENMP */

#ifdef USE_ASSUMED_SIZE
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_simple_&
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		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe), w, nbw, nl, stripe_width, nbw)
#else
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                 call double_hh_trafo_&
		 &MATH_DATATYPE&
		 &_generic_simple_&
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		 &PRECISION&
		 & (a(1:stripe_width,j+off+a_off-1:j+off+a_off-1+nbw,istripe), w, nbw, nl, stripe_width, nbw)

#endif

#endif /* WITH_OPENMP */

               enddo
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_GENERIC_SIMPLE_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
! generic simple complex case
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#if defined(WITH_COMPLEX_GENERIC_SIMPLE_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
            if (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_GENERIC_SIMPLE) then
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
             ttt = mpi_wtime()
             do j = ncols, 1, -1
#ifdef WITH_OPENMP
#ifdef USE_ASSUMED_SIZE
               call single_hh_trafo_&
	       &MATH_DATATYPE&
	       &_generic_simple_&
	       &PRECISION&
	       & (a(1,j+off+a_off,istripe,my_thread), bcast_buffer(1,j+off),nbw,nl,stripe_width)
#else
               call single_hh_trafo_&
	       &MATH_DATATYPE&
	       &_generic_simple_&
	       &PRECISION&
	       & (a(1:stripe_width, j+off+a_off:j+off+a_off+nbw-1,istripe,my_thread), bcast_buffer(1:nbw,j+off),nbw,nl,stripe_width)
#endif

#else /* WITH_OPENMP */

#ifdef USE_ASSUMED_SIZE
               call single_hh_trafo_&
	       &MATH_DATATYPE&
	       &_generic_simple_&
	       &PRECISION&
	       & (a(1,j+off+a_off,istripe), bcast_buffer(1,j+off),nbw,nl,stripe_width)
#else
               call single_hh_trafo_&
	       &MATH_DATATYPE&
	       &_generic_simple_&
	       &PRECISION&
	       & (a(1:stripe_width,j+off+a_off:j+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,j+off),nbw,nl,stripe_width)
#endif

#endif /* WITH_OPENMP */
             enddo
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           endif ! (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_GENERIC_SIMPLE)
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_GENERIC_SIMPLE_KERNEL */
#endif /* COMPLEXCASE */

#if REALCASE == 1
! sse assembly kernel real case
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#if defined(WITH_REAL_SSE_ASSEMBLY_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_SSE) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
                 call double_hh_trafo_&
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                 &MATH_DATATYPE&
		 &_&
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		 &PRECISION&
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		 &_sse_assembly&
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		 & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
                 call double_hh_trafo_&
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		 &MATH_DATATYPE&
		 &_&
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		 &PRECISION&
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		 &_sse_assembly&
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		 & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
               enddo
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_SSE_ASSEMBLY_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
! sse assembly kernel complex case
#if defined(WITH_COMPLEX_SSE_ASSEMBLY_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           if (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_SSE) then
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
             ttt = mpi_wtime()
             do j = ncols, 1, -1
#ifdef WITH_OPENMP
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_&
	      &PRECISION&
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	      &_sse_assembly&
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	      & (c_loc(a(1,j+off+a_off,istripe,my_thread)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#else
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_&
	      &PRECISION&
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	      &_sse_assembly&
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	      & (c_loc(a(1,j+off+a_off,istripe)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#endif
            enddo
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          endif ! (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_SSE)
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_SSE_ASSEMBLY_KERNEL */
#endif /* COMPLEXCASE */

#if REALCASE == 1
! no sse block1 real kernel
#endif

#if COMPLEXCASE == 1
! sse block1 complex kernel
#if defined(WITH_COMPLEX_SSE_BLOCK1_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          if (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_SSE_BLOCK1) then
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL) || (defined(WITH_ONE_SPECIFIC_COMPLEX_KERNEL) && !defined(WITH_COMPLEX_SSE_BLOCK2_KERNEL))
            ttt = mpi_wtime()
            do j = ncols, 1, -1
#ifdef WITH_OPENMP
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_sse_1hv_&
	      &PRECISION&
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	      & (c_loc(a(1,j+off+a_off,istripe,my_thread)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#else
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_sse_1hv_&
	      &PRECISION&
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	      & (c_loc(a(1,j+off+a_off,istripe)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#endif
            enddo
#endif /* defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL) || (defined(WITH_ONE_SPECIFIC_COMPLEX_KERNEL) && !defined(WITH_COMPLEX_SSE_BLOCK2_KERNEL)) */

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          endif ! (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_SSE_BLOCK1)
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_SSE_BLOCK1_KERNEL */

#endif /* COMPLEXCASE */

#if REALCASE == 1
!no avx block1 real kernel
#endif /* REALCASE */

#if COMPLEXCASE == 1
! avx block1 complex kernel
#if defined(WITH_COMPLEX_AVX_BLOCK1_KERNEL) || defined(WITH_COMPLEX_AVX2_BLOCK1_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          if ((THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX_BLOCK1) .or. &
              (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX2_BLOCK1)) then
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL) || (defined(WITH_ONE_SPECIFIC_COMPLEX_KERNEL) && !defined(WITH_COMPLEX_AVX_BLOCK2_KERNEL) && !defined(WITH_COMPLEX_AVX2_BLOCK2_KERNEL))
            ttt = mpi_wtime()
            do j = ncols, 1, -1
#ifdef WITH_OPENMP
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_avx_avx2_1hv_&
	      &PRECISION&
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	      & (c_loc(a(1,j+off+a_off,istripe,my_thread)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#else
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_avx_avx2_1hv_&
	      &PRECISION&
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	      & (c_loc(a(1,j+off+a_off,istripe)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#endif
            enddo
#endif /* defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL) || (defined(WITH_ONE_SPECIFIC_COMPLEX_KERNEL) && !defined(WITH_COMPLEX_AVX_BLOCK2_KERNEL) && !defined(WITH_COMPLEX_AVX2_BLOCK2_KERNEL)) */

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          endif ! ((THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX_BLOCK1) .or. (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX2_BLOCK1))
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_AVX_BLOCK1_KERNEL || WITH_COMPLEX_AVX2_BLOCK1_KERNEL */

#endif /* COMPLEXCASE */

#if REALCASE == 1
! no avx512 block1 real kernel
#endif /* REALCASE */

#if COMPLEXCASE == 1
! avx512 block1 complex kernel
#if defined(WITH_COMPLEX_AVX512_BLOCK1_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          if ((THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX512_BLOCK1)) then
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL) || (defined(WITH_ONE_SPECIFIC_COMPLEX_KERNEL) && !defined(WITH_COMPLEX_AVX512_BLOCK2_KERNEL) )
            ttt = mpi_wtime()
            do j = ncols, 1, -1
#ifdef WITH_OPENMP
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_avx512_1hv_&
	      &PRECISION&
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	      & (c_loc(a(1,j+off+a_off,istripe,my_thread)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#else
              call single_hh_trafo_&
	      &MATH_DATATYPE&
	      &_avx512_1hv_&
	      &PRECISION&
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	      & (c_loc(a(1,j+off+a_off,istripe)), bcast_buffer(1,j+off),nbw,nl,stripe_width)
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#endif
            enddo
#endif /* defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL) || (defined(WITH_ONE_SPECIFIC_COMPLEX_KERNEL) && !defined(WITH_COMPLEX_AVX512_BLOCK2_KERNEL) ) */

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
          endif ! ((THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX512_BLOCK1))
#endif /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_AVX512_BLOCK1_KERNEL  */
#endif /* COMPLEXCASE */

#if REALCASE == 1
! implementation of sse block 2 real case
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#if defined(WITH_REAL_SSE_BLOCK2_KERNEL)
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#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_SSE_BLOCK2) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_SSE_BLOCK6_KERNEL) && !defined(WITH_REAL_SSE_BLOCK4_KERNEL))
             do j = ncols, 2, -2
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION &
	       & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION &
	       & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#endif /* defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_SSE_BLOCK6_KERNEL) && !defined(WITH_REAL_SSE_BLOCK4_KERNEL)) */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_SSE_BLOCK2_KERNEL */

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#endif /* REALCASE == 1 */

#if COMPLEXCASE == 1
! implementation of sse block 2 complex case

#if defined(WITH_COMPLEX_SSE_BLOCK2_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           if (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_SSE_BLOCK2) then
#endif  /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */

             ttt = mpi_wtime()
             do j = ncols, 2, -2
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
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#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
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#endif
             enddo
#ifdef WITH_OPENMP
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_sse_1hv_&
		       &PRECISION&
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		       & (c_loc(a(1,1+off+a_off,istripe,my_thread)), bcast_buffer(1,off+1), nbw, nl, stripe_width)
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#else
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_sse_1hv_&
		       &PRECISION&
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		       & (c_loc(a(1,1+off+a_off,istripe)), bcast_buffer(1,off+1), nbw, nl, stripe_width)
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#endif

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           endif ! (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_SSE_BLOCK2)
#endif  /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_SSE_BLOCK2_KERNEL */
#endif /* COMPLEXCASE == 1 */

#if REALCASE == 1
! implementation of avx block 2 real case

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#if defined(WITH_REAL_AVX_BLOCK2_KERNEL) || defined(WITH_REAL_AVX2_BLOCK2_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)

           if ((THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX_BLOCK2) .or. &
               (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX2_BLOCK2))  then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_AVX_BLOCK6_KERNEL) && !defined(WITH_REAL_AVX_BLOCK4_KERNEL) && !defined(WITH_REAL_AVX2_BLOCK6_KERNEL) && !defined(WITH_REAL_AVX2_BLOCK4_KERNEL))
               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP

               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
               enddo
#endif /* defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) ... */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_AVX_BLOCK2_KERNEL || WITH_REAL_AVX2_BLOCK2_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
! implementation of avx block 2 complex case
#if defined(WITH_COMPLEX_AVX_BLOCK2_KERNEL) || defined(WITH_COMPLEX_AVX2_BLOCK2_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           if ( (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX_BLOCK2) .or. &
                (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX2_BLOCK2) ) then
#endif  /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */

              ttt = mpi_wtime()
             do j = ncols, 2, -2
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
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#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
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#endif
             enddo
#ifdef WITH_OPENMP
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_avx_avx2_1hv_&
		       &PRECISION&
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		       & (c_loc(a(1,1+off+a_off,istripe,my_thread)), bcast_buffer(1,off+1), nbw, nl, stripe_width)
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#else
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_avx_avx2_1hv_&
		       &PRECISION&
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		       & (c_loc(a(1,1+off+a_off,istripe)), bcast_buffer(1,off+1), nbw, nl, stripe_width)
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#endif

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           endif ! ( (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX_BLOCK2) .or. (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX2_BLOCK2) )
#endif  /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_AVX_BLOCK2_KERNEL || WITH_COMPLEX_AVX2_BLOCK2_KERNEL */

#endif /* COMPLEXCASE */

#if REALCASE == 1
! implementation of avx512 block 2 real case
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#if defined(WITH_REAL_AVX512_BLOCK2_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)

           if ((THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX512_BLOCK2)) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_AVX512_BLOCK6_KERNEL) && !defined(WITH_REAL_AVX512_BLOCK4_KERNEL))
               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP

               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
               enddo
#endif /* defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) ... */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_AVX512_BLOCK2_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
! implementation of avx512 block 2 complex case
#if defined(WITH_COMPLEX_AVX512_BLOCK2_KERNEL)
#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           if ( (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX512_BLOCK2)) then
#endif  /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */

              ttt = mpi_wtime()
             do j = ncols, 2, -2
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,j+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
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#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,j+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
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#endif
             enddo
#ifdef WITH_OPENMP
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_avx512_1hv_&
		       &PRECISION&
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		       & (c_loc(a(1,1+off+a_off,istripe,my_thread)), bcast_buffer(1,off+1), nbw, nl, stripe_width)
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#else
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_avx512_1hv_&
		       &PRECISION&
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		       & (c_loc(a(1,1+off+a_off,istripe)), bcast_buffer(1,off+1), nbw, nl, stripe_width)
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#endif

#if defined(WITH_NO_SPECIFIC_COMPLEX_KERNEL)
           endif ! ( (THIS_COMPLEX_ELPA_KERNEL .eq. COMPLEX_ELPA_KERNEL_AVX512_BLOCK2))
#endif  /* WITH_NO_SPECIFIC_COMPLEX_KERNEL */
#endif /* WITH_COMPLEX_AVX512_BLOCK2_KERNEL */
#endif /* COMPLEXCASE */


#if REALCASE == 1
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#if defined(WITH_REAL_BGP_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_BGP) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
                 call double_hh_trafo_bgp_&
		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe,my_thread), w, nbw, nl, stripe_width, nbw)
#else
                 call double_hh_trafo_bgp_&
		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe), w, nbw, nl, stripe_width, nbw)
#endif
               enddo
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_BGP_KERNEL */

#if defined(WITH_REAL_BGQ_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_BGQ) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
               do j = ncols, 2, -2
                 w(:,1) = bcast_buffer(1:nbw,j+off)
                 w(:,2) = bcast_buffer(1:nbw,j+off-1)
#ifdef WITH_OPENMP
                 call double_hh_trafo_bgq_&
		 &PRECISION&
		 & (a(1,j+off+a_off-1,istripe,my_thread), w, nbw, nl, stripe_width, nbw)
#else
                 call double_hh_trafo_bgq_&PRECISION&
		 & (a(1,j+off+a_off-1,istripe), w, nbw, nl, stripe_width, nbw)
#endif
               enddo
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
             endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_BGQ_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
! complex bgp/bgq kernel implemented
#endif


#if REALCASE == 1

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#ifdef WITH_OPENMP
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_cpu_openmp_&
		       &PRECISION&
		       & (a(1:stripe_width, 1+off+a_off:1+off+a_off+nbw-1,istripe,my_thread), &
                          bcast_buffer(1:nbw,off+1), nbw, nl,stripe_width)
#else
             if (j==1) call single_hh_trafo_&
	               &MATH_DATATYPE&
		       &_cpu_&
		       &PRECISION&
		       & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,off+1), nbw, nl,     &
                          stripe_width)
#endif

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#endif /* REALCASE == 1 */
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#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif !
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
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#endif /* REALCASE == 1 */

#if REALCASE == 1
! sse block4 real kernel
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#if defined(WITH_REAL_SSE_BLOCK4_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_SSE_BLOCK4) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_SSE_BLOCK6_KERNEL))
             ! X86 INTRINSIC CODE, USING 4 HOUSEHOLDER VECTORS
             do j = ncols, 4, -4
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
               w(:,3) = bcast_buffer(1:nbw,j+off-2)
               w(:,4) = bcast_buffer(1:nbw,j+off-3)
#ifdef WITH_OPENMP
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-3,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-3,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jj = j, 2, -2
               w(:,1) = bcast_buffer(1:nbw,jj+off)
               w(:,2) = bcast_buffer(1:nbw,jj+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#ifdef WITH_OPENMP
             if (jj==1) call single_hh_trafo_&
	                &MATH_DATATYPE&
			&_cpu_openmp_&
			&PRECISION&
			& (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1, istripe,my_thread), &
                           bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#else
             if (jj==1) call single_hh_trafo_&
	                &MATH_DATATYPE&
			&_cpu_&
			&PRECISION&
			& (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#endif

#endif /* defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_SSE_BLOCK6_KERNEL)) */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_SSE_BLOCK4_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
!no sse block4 complex kernel
#endif /* COMPLEXCASE */
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! avx block4 real kernel
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#if defined(WITH_REAL_AVX_BLOCK4_KERNEL) || defined(WITH_REAL_AVX2_BLOCK4_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if ((THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX_BLOCK4) .or.  &
               (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX2_BLOCK4)) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_AVX_BLOCK6_KERNEL) && !defined(WITH_REAL_AVX2_BLOCK6_KERNEL))
             ! X86 INTRINSIC CODE, USING 4 HOUSEHOLDER VECTORS
             do j = ncols, 4, -4
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
               w(:,3) = bcast_buffer(1:nbw,j+off-2)
               w(:,4) = bcast_buffer(1:nbw,j+off-3)
#ifdef WITH_OPENMP
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-3,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-3,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jj = j, 2, -2
               w(:,1) = bcast_buffer(1:nbw,jj+off)
               w(:,2) = bcast_buffer(1:nbw,jj+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-1,istripe,my_thread)),w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
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Andreas Marek committed
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	       &_avx_avx2_2hv_&
	       &PRECISION&
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	       & (c_loc(a(1,jj+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#ifdef WITH_OPENMP
             if (jj==1) call single_hh_trafo_&
	                &MATH_DATATYPE&
	                &_cpu_openmp_&
	                &PRECISION&
	                & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1, istripe,my_thread), &
                                          bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#else
             if (jj==1) call single_hh_trafo_&
	                &MATH_DATATYPE&
			&_cpu_&
			&PRECISION&
			& (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#endif

#endif /* defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_AVX_BLOCK6_KERNEL) && !defined(WITH_REAL_AVX2_BLOCK6_KERNEL)) */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_AVX_BLOCK4_KERNEL || WITH_REAL_AVX2_BLOCK4_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
!no avx block4 complex kernel
#endif

#if REALCASE == 1
! avx512 block4 real kernel

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#if defined(WITH_REAL_AVX512_BLOCK4_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX512_BLOCK4) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_AVX512_BLOCK6_KERNEL))
             ! X86 INTRINSIC CODE, USING 4 HOUSEHOLDER VECTORS
             do j = ncols, 4, -4
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
               w(:,3) = bcast_buffer(1:nbw,j+off-2)
               w(:,4) = bcast_buffer(1:nbw,j+off-3)
#ifdef WITH_OPENMP
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-3,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-3,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jj = j, 2, -2
               w(:,1) = bcast_buffer(1:nbw,jj+off)
               w(:,2) = bcast_buffer(1:nbw,jj+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#ifdef WITH_OPENMP
             if (jj==1) call single_hh_trafo_&
	                &MATH_DATATYPE&
			&_cpu_openmp_&
			&PRECISION&
			& (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1, istripe,my_thread), &
                                          bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#else
             if (jj==1) call single_hh_trafo_&
	                &MATH_DATATYPE&
			&_cpu_&
			&PRECISION&
			& (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), &
                                          bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#endif

#endif /* defined(WITH_NO_SPECIFIC_REAL_KERNEL) || (defined(WITH_ONE_SPECIFIC_REAL_KERNEL) && !defined(WITH_REAL_AVX_BLOCK6_KERNEL) ) */

#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_AVX512_BLOCK4_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
!no avx512 block4 complex kernel
#endif /* COMPLEXCASE */

#if REALCASE == 1
!sse block6 real kernel
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#if defined(WITH_REAL_SSE_BLOCK6_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_SSE_BLOCK6) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
             ! X86 INTRINSIC CODE, USING 6 HOUSEHOLDER VECTORS
             do j = ncols, 6, -6
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
               w(:,3) = bcast_buffer(1:nbw,j+off-2)
               w(:,4) = bcast_buffer(1:nbw,j+off-3)
               w(:,5) = bcast_buffer(1:nbw,j+off-4)
               w(:,6) = bcast_buffer(1:nbw,j+off-5)
#ifdef WITH_OPENMP
               call hexa_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_6hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-5,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call hexa_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_6hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-5,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jj = j, 4, -4
               w(:,1) = bcast_buffer(1:nbw,jj+off)
               w(:,2) = bcast_buffer(1:nbw,jj+off-1)
               w(:,3) = bcast_buffer(1:nbw,jj+off-2)
               w(:,4) = bcast_buffer(1:nbw,jj+off-3)
#ifdef WITH_OPENMP
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-3,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-3,istripe)), w, &
                                                  nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jjj = jj, 2, -2
               w(:,1) = bcast_buffer(1:nbw,jjj+off)
               w(:,2) = bcast_buffer(1:nbw,jjj+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_sse_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jjj+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
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	       &MATH_DATATYPE&
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	       &_sse_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jjj+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#ifdef WITH_OPENMP
             if (jjj==1) call single_hh_trafo_&
	                 &MATH_DATATYPE&
			 &_cpu_openmp_&
			 &PRECISION&
			 & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1, istripe,my_thread), &
                                           bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#else
             if (jjj==1) call single_hh_trafo_&
	                 &MATH_DATATYPE&
			 &_cpu_&
			 &PRECISION&
			 & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#endif
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_SSE_BLOCK4_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
! no sse block6 complex kernel
#endif

#if REALCASE == 1
! avx block6 real kernel
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#if defined(WITH_REAL_AVX_BLOCK6_KERNEL) || defined(WITH_REAL_AVX2_BLOCK6_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if ((THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX_BLOCK6) .or. &
               (THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX2_BLOCK6)) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
             ! X86 INTRINSIC CODE, USING 6 HOUSEHOLDER VECTORS
             do j = ncols, 6, -6
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
               w(:,3) = bcast_buffer(1:nbw,j+off-2)
               w(:,4) = bcast_buffer(1:nbw,j+off-3)
               w(:,5) = bcast_buffer(1:nbw,j+off-4)
               w(:,6) = bcast_buffer(1:nbw,j+off-5)
#ifdef WITH_OPENMP
               call hexa_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_6hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-5,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call hexa_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_6hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-5,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jj = j, 4, -4
               w(:,1) = bcast_buffer(1:nbw,jj+off)
               w(:,2) = bcast_buffer(1:nbw,jj+off-1)
               w(:,3) = bcast_buffer(1:nbw,jj+off-2)
               w(:,4) = bcast_buffer(1:nbw,jj+off-3)
#ifdef WITH_OPENMP
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-3,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-3,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jjj = jj, 2, -2
               w(:,1) = bcast_buffer(1:nbw,jjj+off)
               w(:,2) = bcast_buffer(1:nbw,jjj+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jjj+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx_avx2_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jjj+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#ifdef WITH_OPENMP
             if (jjj==1) call single_hh_trafo_&
	                 &MATH_DATATYPE&
			 &_cpu_openmp_&
			 &PRECISION&
			 & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1, istripe,my_thread), &
                                           bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#else
             if (jjj==1) call single_hh_trafo_&
	                 &MATH_DATATYPE&
			 &_cpu_&
			 &PRECISION&
			 & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), &
                                           bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#endif
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_AVX_BLOCK6_KERNEL || WITH_REAL_AVX2_BLOCK6_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
!no avx block6 complex kernel
#endif

#if REALCASE == 1
! avx512 block6 kernel
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#if defined(WITH_REAL_AVX512_BLOCK6_KERNEL)
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           if ((THIS_REAL_ELPA_KERNEL .eq. REAL_ELPA_KERNEL_AVX512_BLOCK6)) then
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
             ! X86 INTRINSIC CODE, USING 6 HOUSEHOLDER VECTORS
             do j = ncols, 6, -6
               w(:,1) = bcast_buffer(1:nbw,j+off)
               w(:,2) = bcast_buffer(1:nbw,j+off-1)
               w(:,3) = bcast_buffer(1:nbw,j+off-2)
               w(:,4) = bcast_buffer(1:nbw,j+off-3)
               w(:,5) = bcast_buffer(1:nbw,j+off-4)
               w(:,6) = bcast_buffer(1:nbw,j+off-5)
#ifdef WITH_OPENMP
               call hexa_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_6hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-5,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call hexa_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_6hv_&
	       &PRECISION&
	       & (c_loc(a(1,j+off+a_off-5,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jj = j, 4, -4
               w(:,1) = bcast_buffer(1:nbw,jj+off)
               w(:,2) = bcast_buffer(1:nbw,jj+off-1)
               w(:,3) = bcast_buffer(1:nbw,jj+off-2)
               w(:,4) = bcast_buffer(1:nbw,jj+off-3)
#ifdef WITH_OPENMP
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-3,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call quad_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_4hv_&
	       &PRECISION&
	       & (c_loc(a(1,jj+off+a_off-3,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
             do jjj = jj, 2, -2
               w(:,1) = bcast_buffer(1:nbw,jjj+off)
               w(:,2) = bcast_buffer(1:nbw,jjj+off-1)
#ifdef WITH_OPENMP
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jjj+off+a_off-1,istripe,my_thread)), w, nbw, nl, stripe_width, nbw)
#else
               call double_hh_trafo_&
	       &MATH_DATATYPE&
	       &_avx512_2hv_&
	       &PRECISION&
	       & (c_loc(a(1,jjj+off+a_off-1,istripe)), w, nbw, nl, stripe_width, nbw)
#endif
             enddo
#ifdef WITH_OPENMP
             if (jjj==1) call single_hh_trafo_&
	                 &MATH_DATATYPE&
			 &_cpu_openmp_&
			 &PRECISION&
			 & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1, istripe,my_thread), &
                                           bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#else
             if (jjj==1) call single_hh_trafo_&
	                 &MATH_DATATYPE&
			 &_cpu_&
			 &PRECISION&
			 & (a(1:stripe_width,1+off+a_off:1+off+a_off+nbw-1,istripe), bcast_buffer(1:nbw,off+1), nbw, nl, stripe_width)
#endif
#if defined(WITH_NO_SPECIFIC_REAL_KERNEL)
           endif
#endif /* WITH_NO_SPECIFIC_REAL_KERNEL */
#endif /* WITH_REAL_AVX512_BLOCK6_KERNEL */

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#endif /* REALCASE */

#if COMPLEXCASE == 1
!no avx512 block6 complex kernel
#endif /* COMPLEXCASE */

#if REALCASE == 1
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         endif ! GPU_KERNEL
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#endif

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#ifdef WITH_OPENMP
         if (my_thread==1) then
#endif
           kernel_flops = kernel_flops + 4*int(nl,8)*int(ncols,8)*int(nbw,8)
           kernel_time = kernel_time + mpi_wtime()-ttt
#ifdef WITH_OPENMP
         endif
#endif

         call timer%stop("compute_hh_trafo_&
	 &MATH_DATATYPE&
#ifdef WITH_OPENMP
         &_cpu_openmp" // &
#else
         &_cpu" // &
#endif
         &PRECISION_SUFFIX &
         )

       end subroutine