Test program for elpa_mult_at_b_real

A random matrix is set up, and then result = a**T * 2*b is computed
this is compared with the result of plain scalapack routines and
the maximum norm of "scalapack - elpa" is computed (should be zero on
machine precision)

Makefile.am

@@ -196,6 +196,7 @@ dist_files_DATA = \
   test/Fortran/test_real.F90 \
   test/Fortran/test_real_with_c.F90 \
   test/Fortran/test_toeplitz.F90 \
+  test/Fortran/test_transpose_multiply_real.F90 \
   src/elpa2_print_kernels.F90
 
 dist_doc_DATA = README.md USERS_GUIDE.md INSTALL.md CONTRIBUTING.md LICENSE Changelog COPYING/COPYING COPYING/gpl.txt COPYING/lgpl.txt
@@ -219,6 +220,7 @@ noinst_PROGRAMS = \
   elpa2_test_real_api@SUFFIX@ \
   elpa2_test_complex_api@SUFFIX@ \
   elpa1_real_toeplitz@SUFFIX@ \
+  elpa1_real_transpose_multiply@SUFFIX@ \
   elpa1_test_real_with_c@SUFFIX@ \
   elpa1_test_real_c_version@SUFFIX@ \
   elpa1_test_complex_c_version@SUFFIX@ \
@@ -278,6 +280,12 @@ elpa1_real_toeplitz@SUFFIX@_LDADD = $(build_lib)
 elpa1_real_toeplitz@SUFFIX@_FCFLAGS = $(AM_FCFLAGS) @FC_MODOUT@private_modules @FC_MODINC@private_modules
 EXTRA_elpa1_real_toeplitz@SUFFIX@_DEPENDENCIES = test/Fortran/elpa_print_headers.X90
 
+elpa1_real_transpose_multiply@SUFFIX@_SOURCES = test/Fortran/test_transpose_multiply_real.F90
+elpa1_real_transpose_multiply@SUFFIX@_LDADD = $(build_lib)
+elpa1_real_transpose_multiply@SUFFIX@_FCFLAGS = $(AM_FCFLAGS) @FC_MODOUT@private_modules @FC_MODINC@private_modules
+EXTRA_elpa1_real_transpose_multiply@SUFFIX@_DEPENDENCIES = test/Fortran/elpa_print_headers.X90
+
+
 elpa1_test_real_with_c@SUFFIX@_SOURCES = test/Fortran/test_real_with_c.F90
 elpa1_test_real_with_c@SUFFIX@_LDADD = $(build_lib)
 elpa1_test_real_with_c@SUFFIX@_FCFLAGS = $(AM_FCFLAGS) @FC_MODOUT@private_modules @FC_MODINC@private_modules
@@ -341,6 +349,7 @@ check_SCRIPTS = \
   elpa2_test_real_api@SUFFIX@.sh \
   elpa2_test_complex_api@SUFFIX@.sh \
   elpa1_real_toeplitz@SUFFIX@.sh \
+  elpa1_real_transpose_multiply@SUFFIX@.sh \
   elpa2_print_kernels@SUFFIX@ \
   elpa1_test_real_c_version@SUFFIX@.sh \
   elpa1_test_complex_c_version@SUFFIX@.sh \

test/Fortran/test_transpose_multiply_real.F90

+!    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.
+!
+!
+#include "config-f90.h"
+!>
+
+program test_transpose_multiply
+
+   use precision
+   use ELPA1
+   use elpa_utilities, only : error_unit
+#ifdef WITH_OPENMP
+   use test_util
+#endif
+
+   use mod_read_input_parameters
+   use mod_check_correctness
+   use mod_setup_mpi
+   use mod_blacs_infrastructure
+   use mod_prepare_matrix
+
+   use elpa_mpi
+#ifdef HAVE_REDIRECT
+   use redirect
+#endif
+#ifdef HAVE_DETAILED_TIMINGS
+  use timings
+#endif
+  use output_types
+
+   implicit none
+
+   !-------------------------------------------------------------------------------
+   ! Please set system size parameters below!
+   ! na:   System size
+   ! nev:  Number of eigenvectors to be calculated
+   ! nblk: Blocking factor in block cyclic distribution
+   !-------------------------------------------------------------------------------
+   integer(kind=ik)           :: nblk
+   integer(kind=ik)           :: na, nev
+
+   integer(kind=ik)           :: np_rows, np_cols, na_rows, na_cols
+
+   integer(kind=ik)           :: myid, nprocs, my_prow, my_pcol, mpi_comm_rows, mpi_comm_cols
+   integer(kind=ik)           :: i, mpierr, my_blacs_ctxt, sc_desc(9), info, nprow, npcol
+
+   integer, external          :: numroc
+
+   real(kind=rk), allocatable :: a(:,:), b(:,:), c(:,:), z(:,:), tmp1(:,:), tmp2(:,:), as(:,:), ev(:)
+
+   real(kind=rk)              :: norm, normmax, pdlange
+
+   integer(kind=ik)           :: iseed(4096) ! Random seed, size should be sufficient for every generator
+
+   integer(kind=ik)           :: STATUS
+#ifdef WITH_OPENMP
+   integer(kind=ik)           :: omp_get_max_threads,  required_mpi_thread_level, &
+                                 provided_mpi_thread_level
+#endif
+   type(output_t)             :: write_to_file
+   logical                    :: success
+   character(len=8)           :: task_suffix
+   integer(kind=ik)           :: j
+   !-------------------------------------------------------------------------------
+
+   success = .true.
+
+   call read_input_parameters(na, nev, nblk, write_to_file)
+
+   !-------------------------------------------------------------------------------
+   !  MPI Initialization
+   call setup_mpi(myid, nprocs)
+
+   STATUS = 0
+
+#ifdef HAVE_DETAILED_TIMINGS
+
+   ! initialise the timing functionality
+
+#ifdef HAVE_LIBPAPI
+   call timer%measure_flops(.true.)
+#endif
+
+   call timer%measure_allocated_memory(.true.)
+   call timer%measure_virtual_memory(.true.)
+   call timer%measure_max_allocated_memory(.true.)
+
+   call timer%set_print_options(&
+#ifdef HAVE_LIBPAPI
+                print_flop_count=.true., &
+                print_flop_rate=.true., &
+#endif
+                print_allocated_memory = .true. , &
+                print_virtual_memory=.true., &
+                print_max_allocated_memory=.true.)
+
+
+  call timer%enable()
+
+  call timer%start("program")
+#endif
+
+   do np_cols = NINT(SQRT(REAL(nprocs))),2,-1
+      if(mod(nprocs,np_cols) == 0 ) exit
+   enddo
+
+   ! at the end of the above loop, nprocs is always divisible by np_cols
+
+   np_rows = nprocs/np_cols
+
+   if(myid==0) then
+      print '(3(a,i0))','Matrix size=',na,', Block size=',nblk
+      print '(3(a,i0))','Number of processor rows=',np_rows,', cols=',np_cols,', total=',nprocs
+      print *
+   endif
+
+   !-------------------------------------------------------------------------------
+   ! Set up BLACS context and MPI communicators
+   !
+   ! The BLACS context is only necessary for using Scalapack.
+   !
+   ! For ELPA, the MPI communicators along rows/cols are sufficient,
+   ! and the grid setup may be done in an arbitrary way as long as it is
+   ! consistent (i.e. 0<=my_prow<np_rows, 0<=my_pcol<np_cols and every
+   ! process has a unique (my_prow,my_pcol) pair).
+
+   call set_up_blacsgrid(mpi_comm_world, my_blacs_ctxt, np_rows, np_cols, &
+                         nprow, npcol, my_prow, my_pcol)
+
+   if (myid==0) then
+     print '(a)','| Past BLACS_Gridinfo.'
+   end if
+
+   ! All ELPA routines need MPI communicators for communicating within
+   ! rows or columns of processes, these are set in get_elpa_communicators.
+
+   mpierr = get_elpa_communicators(mpi_comm_world, my_prow, my_pcol, &
+                                   mpi_comm_rows, mpi_comm_cols)
+
+   if (myid==0) then
+     print '(a)','| Past split communicator setup for rows and columns.'
+   end if
+
+   call set_up_blacs_descriptor(na ,nblk, my_prow, my_pcol, np_rows, np_cols, &
+                                na_rows, na_cols, sc_desc, my_blacs_ctxt, info)
+
+   if (myid==0) then
+     print '(a)','| Past scalapack descriptor setup.'
+   end if
+
+   !-------------------------------------------------------------------------------
+   ! Allocate matrices and set up a test matrix for the eigenvalue problem
+#ifdef HAVE_DETAILED_TIMINGS
+   call timer%start("set up matrix")
+#endif
+   allocate(a (na_rows,na_cols))
+   allocate(b (na_rows,na_cols))
+   allocate(c (na_rows,na_cols))
+
+   allocate(z (na_rows,na_cols))
+   allocate(as(na_rows,na_cols))
+
+   allocate(ev(na))
+
+   call prepare_matrix(na, myid, sc_desc, iseed,  a, z, as)
+
+
+   b(:,:) = 2.0 * a(:,:)
+   c(:,:) = 0.0
+
+#ifdef HAVE_DETAILED_TIMINGS
+   call timer%stop("set up matrix")
+#endif
+
+   !-------------------------------------------------------------------------------
+   ! Calculate eigenvalues/eigenvectors
+
+   if (myid==0) then
+     print '(a)','| Compute c= a**T * b ... '
+     print *
+   end if
+#ifdef WITH_MPI
+   call mpi_barrier(mpi_comm_world, mpierr) ! for correct timings only
+#endif
+
+   success = elpa_mult_at_b_real("F","F", na, na, a, na_rows, b, na_rows, nblk, &
+                                 mpi_comm_rows, mpi_comm_cols, c, na_rows)
+
+   if (.not.(success)) then
+      write(error_unit,*) "solve_evp_real_1stage produced an error! Aborting..."
+#ifdef WITH_MPI
+      call MPI_ABORT(mpi_comm_world, 1, mpierr)
+#endif
+   endif
+
+
+   if (myid==0) then
+     print '(a)','| Solve c = a**T * b complete.'
+     print *
+   end if
+
+
+   !-------------------------------------------------------------------------------
+   ! Test correctness of result (using plain scalapack routines)
+   allocate(tmp1(na_rows,na_cols))
+   allocate(tmp2(na_rows,na_cols))
+
+   tmp1(:,:) = 0.0_rk
+
+   ! tmp1 = a**T
+   call pdtran(na, na, 1.0_rk, a, 1, 1, sc_desc, 0.0_rk, tmp1, 1, 1, sc_desc)
+
+   ! tmp2 = tmp1 * b
+   call pdgemm("N","N", na, na, na, 1.0_rk, tmp1, 1, 1, sc_desc, b, 1, 1, &
+               sc_desc, 0.0_rk, tmp2, 1, 1, sc_desc)
+
+
+   ! compare tmp2 with c
+   tmp2(:,:) = tmp2(:,:) - c(:,:)
+
+
+   norm = pdlange("M",na, na, tmp2, 1, 1, sc_desc, tmp1)
+   call mpi_allreduce(norm,normmax,1,MPI_REAL8,MPI_MAX,MPI_COMM_WORLD,mpierr)
+
+   if (myid .eq. 0) then
+     print *," Maximum error of result: ", normmax
+   endif
+ 
+   if (normmax .gt. 5e-12) then
+        status = 1
+   endif
+
+   deallocate(a)
+   deallocate(b)
+   deallocate(c)
+
+   deallocate(as)
+
+   deallocate(z)
+   deallocate(tmp1)
+   deallocate(tmp2)
+   deallocate(ev)
+
+#ifdef HAVE_DETAILED_TIMINGS
+   call timer%stop("program")
+   print *," "
+   print *,"Timings program:"
+   print *," "
+   call timer%print("program")
+   print *," "
+   print *,"End timings program"
+   print *," "
+#endif
+
+#ifdef WITH_MPI
+   call blacs_gridexit(my_blacs_ctxt)
+   call mpi_finalize(mpierr)
+#endif
+
+   call EXIT(STATUS)
+
+
+end
+
+!-------------------------------------------------------------------------------