elpa_invert_trm.X90 9.52 KB
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!    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
!
!    This particular source code file contains additions, changes and
!    enhancements authored by Intel Corporation which is not part of
!    the ELPA consortium.
!
!    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.
!
!
! ELPA1 -- Faster replacements for ScaLAPACK symmetric eigenvalue routines
!
! 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 "../general/sanity.X90"
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       use precision
       use elpa1_compute
       use elpa_utilities
       use elpa_mpi
#ifdef HAVE_DETAILED_TIMINGS
       use timings
#else
       use timings_dummy
#endif
       implicit none

       integer(kind=ik)             :: na, lda, nblk, matrixCols, mpi_comm_rows, mpi_comm_cols
#if  REALCASE ==  1
#ifdef USE_ASSUMED_SIZE
       real(kind=REAL_DATATYPE)     :: a(lda,*)
#else
       real(kind=REAL_DATATYPE)     :: a(lda,matrixCols)
#endif
#endif

#if COMPLEXCASE == 1
#ifdef USE_ASSUMED_SIZE
       complex(kind=COMPLEX_DATATYPE)   :: a(lda,*)
#else
       complex(kind=COMPLEX_DATATYPE)   :: a(lda,matrixCols)
#endif
#endif

       integer(kind=ik)             :: my_prow, my_pcol, np_rows, np_cols, mpierr
       integer(kind=ik)             :: l_cols, l_rows, l_col1, l_row1, l_colx, l_rowx
       integer(kind=ik)             :: n, nc, i, info, ns, nb
#if REALCASE ==  1
       real(kind=REAL_DATATYPE), allocatable   :: tmp1(:), tmp2(:,:), tmat1(:,:), tmat2(:,:)
#endif
#if COMPLEXCASE == 1
       complex(kind=COMPLEX_DATATYPE), allocatable    :: tmp1(:), tmp2(:,:), tmat1(:,:), tmat2(:,:)
#endif
       logical, intent(in)          :: wantDebug
       logical                      :: success
       integer(kind=ik)             :: istat
       character(200)               :: errorMessage

       call timer%start("mpi_communication")
       call mpi_comm_rank(mpi_comm_rows,my_prow,mpierr)
       call mpi_comm_size(mpi_comm_rows,np_rows,mpierr)
       call mpi_comm_rank(mpi_comm_cols,my_pcol,mpierr)
       call mpi_comm_size(mpi_comm_cols,np_cols,mpierr)
       call timer%stop("mpi_communication")
       success = .true.

       l_rows = local_index(na, my_prow, np_rows, nblk, -1) ! Local rows of a
       l_cols = local_index(na, my_pcol, np_cols, nblk, -1) ! Local cols of a

       allocate(tmp1(nblk*nblk), stat=istat, errmsg=errorMessage)
       if (istat .ne. 0) then
         print *,"elpa_invert_trm_&
	 &MATH_DATATYPE&
	 &: error when allocating tmp1 "//errorMessage
         stop 1
       endif

       allocate(tmp2(nblk,nblk), stat=istat, errmsg=errorMessage)
       if (istat .ne. 0) then
         print *,"elpa_invert_trm_&
	 &MATH_DATATYPE&
	 &: error when allocating tmp2 "//errorMessage
         stop 1
       endif

       tmp1 = 0
       tmp2 = 0

       allocate(tmat1(l_rows,nblk), stat=istat, errmsg=errorMessage)
       if (istat .ne. 0) then
         print *,"elpa_invert_trm_&
	 &MATH_DATATYPE&
	 &: error when allocating tmat1 "//errorMessage
         stop 1
       endif

       allocate(tmat2(nblk,l_cols), stat=istat, errmsg=errorMessage)
       if (istat .ne. 0) then
         print *,"elpa_invert_trm_&
	 &MATH_DATATYPE&
	 &: error when allocating tmat2 "//errorMessage
         stop 1
       endif

       tmat1 = 0
       tmat2 = 0


       ns = ((na-1)/nblk)*nblk + 1

       do n = ns,1,-nblk

         l_row1 = local_index(n, my_prow, np_rows, nblk, +1)
         l_col1 = local_index(n, my_pcol, np_cols, nblk, +1)

         nb = nblk
         if (na-n+1 < nblk) nb = na-n+1

         l_rowx = local_index(n+nb, my_prow, np_rows, nblk, +1)
         l_colx = local_index(n+nb, my_pcol, np_cols, nblk, +1)

         if (my_prow==prow(n, nblk, np_rows)) then

           if (my_pcol==pcol(n, nblk, np_cols)) then
             call timer%start("blas")

             call PRECISION_TRTRI('U', 'N', nb, a(l_row1,l_col1), lda, info)

             call timer%stop("blas")

             if (info/=0) then
               if (wantDebug) write(error_unit,*) "elpa_invert_trm_&
	       &MATH_DATATYPE&

#if REALCASE == 1
	       &: Error in DTRTRI"
#endif
#if COMPLEXCASE == 1
	       &: Error in ZTRTRI"
#endif

               success = .false.
               return
             endif

             nc = 0
             do i=1,nb
               tmp1(nc+1:nc+i) = a(l_row1:l_row1+i-1,l_col1+i-1)
               nc = nc+i
             enddo
           endif
#ifdef WITH_MPI
           call timer%start("mpi_communication")
           call MPI_Bcast(tmp1, nb*(nb+1)/2,        &
#if REALCASE == 1
                          MPI_REAL_PRECISION,       &
#endif
#if COMPLEXCASE == 1
                          MPI_COMPLEX_PRECISION,       &
#endif
                          pcol(n, nblk, np_cols), mpi_comm_cols, mpierr)
           call timer%stop("mpi_communication")
#endif /* WITH_MPI */
           nc = 0
           do i=1,nb
             tmp2(1:i,i) = tmp1(nc+1:nc+i)
             nc = nc+i
           enddo

           call timer%start("blas")
           if (l_cols-l_colx+1>0) &
	      call PRECISION_TRMM ('L', 'U', 'N', 'N', nb, l_cols-l_colx+1,  &
#if REALCASE == 1
                                   CONST_1_0,   &
#endif
#if COMPLEXCASE == 1
                                   CONST_COMPLEX_PAIR_1_0, &
#endif
                                   tmp2, ubound(tmp2,dim=1), a(l_row1,l_colx), lda)
           call timer%stop("blas")
           if (l_colx<=l_cols)   tmat2(1:nb,l_colx:l_cols) = a(l_row1:l_row1+nb-1,l_colx:l_cols)
           if (my_pcol==pcol(n, nblk, np_cols)) tmat2(1:nb,l_col1:l_col1+nb-1) = tmp2(1:nb,1:nb) ! tmp2 has the lower left triangle 0

         endif

         if (l_row1>1) then
           if (my_pcol==pcol(n, nblk, np_cols)) then
             tmat1(1:l_row1-1,1:nb) = a(1:l_row1-1,l_col1:l_col1+nb-1)
             a(1:l_row1-1,l_col1:l_col1+nb-1) = 0
           endif

           do i=1,nb
#ifdef WITH_MPI
             call timer%start("mpi_communication")
             call MPI_Bcast(tmat1(1,i), l_row1-1,       &
#if REALCASE == 1
                             MPI_REAL_PRECISION,       &
#endif
#if COMPLEXCASE == 1
                             MPI_COMPLEX_PRECISION,       &
#endif
                             pcol(n, nblk, np_cols), mpi_comm_cols, mpierr)

             call timer%stop("mpi_communication")
#endif /* WITH_MPI */
           enddo
         endif
#ifdef WITH_MPI
         call timer%start("mpi_communication")
         if (l_cols-l_col1+1>0) &
	    call MPI_Bcast(tmat2(1,l_col1), (l_cols-l_col1+1)*nblk,      &
#if REALCASE == 1
                             MPI_REAL_PRECISION,       &
#endif
#if COMPLEXCASE == 1
                             MPI_COMPLEX_PRECISION,       &
#endif
                             prow(n, nblk, np_rows), mpi_comm_rows, mpierr)

          call timer%stop("mpi_communication")
#endif /* WITH_MPI */

         call timer%start("blas")
         if (l_row1>1 .and. l_cols-l_col1+1>0) &
           call PRECISION_GEMM('N', 'N', l_row1-1, l_cols-l_col1+1, nb,    &
#if REALCASE == 1
                               -CONST_1_0,   &
#endif
#if COMPLEXCASE == 1
                               -CONST_COMPLEX_PAIR_1_0,        &
#endif
                                tmat1, ubound(tmat1,dim=1), tmat2(1,l_col1), ubound(tmat2,dim=1), &
#if REALCASE == 1
                                CONST_1_0,   &
#endif
#if COMPLEXCASE == 1
                                CONST_COMPLEX_PAIR_1_0,        &
#endif
                                 a(1,l_col1), lda)

         call timer%stop("blas")

       enddo

       deallocate(tmp1, tmp2, tmat1, tmat2, stat=istat, errmsg=errorMessage)
       if (istat .ne. 0) then
         print *,"elpa_invert_trm_&
	 &MATH_DATATYPE&
	 &: error when deallocating tmp1 "//errorMessage
         stop 1
       endif

#undef REALCASE
#undef COMPLEXCASE
#undef DOUBLE_PRECISION
#undef SINGLE_PRECISION