elpa2_kernels_real_simple.F90 6.6 KB
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!    This file is part of ELPA.
!
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!    The ELPA library was originally created by the ELPA consortium,
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!    consisting of the following organizations:
!
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!    - Max Planck Computing and Data Facility (MPCDF), formerly known as
!      Rechenzentrum Garching der Max-Planck-Gesellschaft (RZG),
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!    - Bergische Universität Wuppertal, Lehrstuhl für angewandte
!      Informatik,
!    - Technische Universität München, Lehrstuhl für Informatik mit
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!      Schwerpunkt Wissenschaftliches Rechnen ,
!    - Fritz-Haber-Institut, Berlin, Abt. Theorie,
!    - Max-Plack-Institut für Mathematik in den Naturwissenschaftrn,
!      Leipzig, Abt. Komplexe Strukutren in Biologie und Kognition,
!      and
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!    - IBM Deutschland GmbH
!
!
!    More information can be found here:
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!    http://elpa.mpcdf.mpg.de/
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!
!    ELPA is free software: you can redistribute it and/or modify
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!    it under the terms of the version 3 of the license of the
!    GNU Lesser General Public License as published by the Free
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!    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 contains the compute intensive kernels for the Householder transformations.
!
! This is the small and simple version (no hand unrolling of loops etc.) but for some
! compilers this performs better than a sophisticated version with transformed and unrolled loops.
!
! It should be compiled with the highest possible optimization level.
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!
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! Copyright of the original code rests with the authors inside the ELPA
! consortium. The copyright of any additional modifications shall rest
! with their original authors, but shall adhere to the licensing terms
! distributed along with the original code in the file "COPYING".
!
! --------------------------------------------------------------------------------------------------
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#include "config-f90.h"

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module real_generic_simple_kernel
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  private
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  public double_hh_trafo_generic_simple_double

#ifdef WANT_SINGLE_PRECISION_REAL
 public double_hh_trafo_generic_simple_single
#endif

  contains
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  ! the intel compiler creates an temp array copy of array q
  ! This should be prevented if possible without using assumed size arrays
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  subroutine double_hh_trafo_generic_simple_double(q, hh, nb, nq, ldq, ldh)
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    use precision
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#ifdef HAVE_DETAILED_TIMINGS
    use timings
#endif
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    implicit none
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    integer(kind=ik), intent(in) :: nb, nq, ldq, ldh
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#ifdef DESPERATELY_WANT_ASSUMED_SIZE
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    real(kind=rk8), intent(inout) :: q(ldq,*)
    real(kind=rk8), intent(in)    :: hh(ldh,*)
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#else
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    real(kind=rk8), intent(inout) :: q(ldq,1:nb+1)
    real(kind=rk8), intent(in)    :: hh(ldh,2)
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#endif
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    real(kind=rk8)                :: s, h1, h2, tau1, tau2, x(nq), y(nq)
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    integer(kind=ik)             :: i
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#ifdef HAVE_DETAILED_TIMINGS
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    call timer%start("kernel generic simple: double_hh_trafo_generic_simple_double")
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#endif
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    ! Calculate dot product of the two Householder vectors
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    s = hh(2,2)*1
    do i=3,nb
       s = s+hh(i,2)*hh(i-1,1)
    enddo
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    ! Do the Householder transformations
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    x(1:nq) = q(1:nq,2)
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    y(1:nq) = q(1:nq,1) + q(1:nq,2)*hh(2,2)
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    do i=3,nb
       h1 = hh(i-1,1)
       h2 = hh(i,2)
       x(1:nq) = x(1:nq) + q(1:nq,i)*h1
       y(1:nq) = y(1:nq) + q(1:nq,i)*h2
    enddo
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    x(1:nq) = x(1:nq) + q(1:nq,nb+1)*hh(nb,1)
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    tau1 = hh(1,1)
    tau2 = hh(1,2)
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    h1 = -tau1
    x(1:nq) = x(1:nq)*h1
    h1 = -tau2
    h2 = -tau2*s
    y(1:nq) = y(1:nq)*h1 + x(1:nq)*h2
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    q(1:nq,1) = q(1:nq,1) + y(1:nq)
    q(1:nq,2) = q(1:nq,2) + x(1:nq) + y(1:nq)*hh(2,2)
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    do i=3,nb
       h1 = hh(i-1,1)
       h2 = hh(i,2)
       q(1:nq,i) = q(1:nq,i) + x(1:nq)*h1 + y(1:nq)*h2
    enddo
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    q(1:nq,nb+1) = q(1:nq,nb+1) + x(1:nq)*hh(nb,1)
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#ifdef HAVE_DETAILED_TIMINGS
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    call timer%stop("kernel generic simple: double_hh_trafo_generic_simple_double")
#endif

  end subroutine double_hh_trafo_generic_simple_double

#ifdef WANT_SINGLE_PRECISION_REAL
  ! single precision implementation at the moment duplicated !!!

  subroutine double_hh_trafo_generic_simple_single(q, hh, nb, nq, ldq, ldh)
    use precision
#ifdef HAVE_DETAILED_TIMINGS
    use timings
#endif
    implicit none

    integer(kind=ik), intent(in) :: nb, nq, ldq, ldh
#ifdef DESPERATELY_WANT_ASSUMED_SIZE
    real(kind=rk4), intent(inout) :: q(ldq,*)
    real(kind=rk4), intent(in)    :: hh(ldh,*)
#else
    real(kind=rk4), intent(inout) :: q(ldq,1:nb+1)
    real(kind=rk4), intent(in)    :: hh(ldh,2)
#endif

    real(kind=rk4)                :: s, h1, h2, tau1, tau2, x(nq), y(nq)
    integer(kind=ik)             :: i

#ifdef HAVE_DETAILED_TIMINGS
    call timer%start("kernel generic simple: double_hh_trafo_generic_simple_single")
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#endif
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    ! Calculate dot product of the two Householder vectors

    s = hh(2,2)*1
    do i=3,nb
       s = s+hh(i,2)*hh(i-1,1)
    enddo

    ! Do the Householder transformations

    x(1:nq) = q(1:nq,2)

    y(1:nq) = q(1:nq,1) + q(1:nq,2)*hh(2,2)

    do i=3,nb
       h1 = hh(i-1,1)
       h2 = hh(i,2)
       x(1:nq) = x(1:nq) + q(1:nq,i)*h1
       y(1:nq) = y(1:nq) + q(1:nq,i)*h2
    enddo

    x(1:nq) = x(1:nq) + q(1:nq,nb+1)*hh(nb,1)

    tau1 = hh(1,1)
    tau2 = hh(1,2)

    h1 = -tau1
    x(1:nq) = x(1:nq)*h1
    h1 = -tau2
    h2 = -tau2*s
    y(1:nq) = y(1:nq)*h1 + x(1:nq)*h2

    q(1:nq,1) = q(1:nq,1) + y(1:nq)
    q(1:nq,2) = q(1:nq,2) + x(1:nq) + y(1:nq)*hh(2,2)

    do i=3,nb
       h1 = hh(i-1,1)
       h2 = hh(i,2)
       q(1:nq,i) = q(1:nq,i) + x(1:nq)*h1 + y(1:nq)*h2
    enddo

    q(1:nq,nb+1) = q(1:nq,nb+1) + x(1:nq)*hh(nb,1)

#ifdef HAVE_DETAILED_TIMINGS
    call timer%stop("kernel generic simple: double_hh_trafo_generic_simple_single")
#endif

  end subroutine double_hh_trafo_generic_simple_single

#endif /* WANT_SINGLE_PRECISION_REAL */
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end module real_generic_simple_kernel
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! --------------------------------------------------------------------------------------------------