You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
211 lines
9.6 KiB
Fortran
211 lines
9.6 KiB
Fortran
!
|
|
! Parallel Sparse BLAS version 3.5
|
|
! (C) Copyright 2006-2018
|
|
! Salvatore Filippone
|
|
! Alfredo Buttari
|
|
!
|
|
! 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. The name of the PSBLAS group or the names of its contributors may
|
|
! not 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 PSBLAS GROUP OR ITS 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.
|
|
!
|
|
!
|
|
! File: psb_d_nest_builder_test.F90
|
|
!
|
|
! Program: psb_d_nest_builder_test
|
|
! Author: Simone Staccone (Stack-1)
|
|
!
|
|
! Same operator as the low-level CG test (1D Laplacian reordered red-black, SPD
|
|
! and ill-conditioned) but built with the psb_d_nest_matrix utility: the user
|
|
! declares nested_matrix, gives the field sizes, inserts the block values and
|
|
! calls asb. All the setup (per-field descriptors, union halo, compose, setup,
|
|
! wrap) is handled by the utility. Solved with CG and checked against the
|
|
! exact solution.
|
|
!
|
|
! M = [ 2I C ] C(r,r) = -1 , C(r,r-1) = -1 (the Laplacian edges)
|
|
! [ C^T 2I ]
|
|
!
|
|
! Run: ./psb_d_nest_builder_test ; mpirun -np 4 ./psb_d_nest_builder_test
|
|
!
|
|
program psb_d_nest_builder_test
|
|
use psb_base_mod
|
|
use psb_prec_mod
|
|
use psb_linsolve_mod
|
|
use psb_d_nest_mod ! umbrella: includes psb_d_nest_matrix (builder)
|
|
implicit none
|
|
|
|
type(psb_ctxt_type) :: context
|
|
integer(psb_ipk_) :: my_rank, num_procs, info, i_local_row, entry_idx
|
|
integer(psb_ipk_) :: field1_local_rows, field2_local_rows
|
|
integer(psb_lpk_) :: field1_global_row, field2_global_row, field_size
|
|
|
|
type(psb_d_nest_matrix) :: nested_matrix ! the only object needed
|
|
type(psb_dprec_type) :: preconditioner
|
|
type(psb_d_vect_type) :: x_solution, rhs, x_exact
|
|
real(psb_dpk_) :: insert_value(1)
|
|
|
|
integer(psb_lpk_), allocatable :: entry_rows(:), entry_cols(:)
|
|
integer(psb_lpk_), allocatable :: field1_rows(:), field2_rows(:)
|
|
real(psb_dpk_), allocatable :: entry_vals(:)
|
|
|
|
real(psb_dpk_) :: stop_tol, final_residual, norm_x_exact, solution_error
|
|
integer(psb_ipk_) :: max_iter, n_iter, stop_criterion
|
|
real(psb_dpk_), parameter :: solution_tol = 1.0e-6_psb_dpk_
|
|
|
|
call psb_init(context)
|
|
call psb_info(context, my_rank, num_procs)
|
|
|
|
field_size = 512 ! global size of each field (N = 2*field_size)
|
|
stop_tol = 1.0e-9_psb_dpk_
|
|
max_iter = 4000
|
|
stop_criterion = 2
|
|
|
|
!---------------------------------------------------------------
|
|
! 1) create the nested operator: 2 fields of global size field_size
|
|
!---------------------------------------------------------------
|
|
call nested_matrix%init(context, [field_size, field_size], info)
|
|
if (info /= psb_success_) then
|
|
if (my_rank==0) write(*,*) 'FAIL init info=', info; goto 9999
|
|
end if
|
|
|
|
! rows owned by this process in each field
|
|
field1_rows = nested_matrix%get_owned_rows(1)
|
|
field2_rows = nested_matrix%get_owned_rows(2)
|
|
field1_local_rows = size(field1_rows)
|
|
field2_local_rows = size(field2_rows)
|
|
|
|
!---------------------------------------------------------------
|
|
! 2) insert the values, one block at a time (owned rows only)
|
|
!---------------------------------------------------------------
|
|
! block (1,1) = 2I
|
|
allocate(entry_rows(field1_local_rows), entry_cols(field1_local_rows), entry_vals(field1_local_rows))
|
|
do i_local_row = 1, field1_local_rows
|
|
field1_global_row = field1_rows(i_local_row)
|
|
entry_rows(i_local_row)=field1_global_row; entry_cols(i_local_row)=field1_global_row
|
|
entry_vals(i_local_row)=2.0_psb_dpk_
|
|
end do
|
|
call nested_matrix%ins(1, 1, field1_local_rows, entry_rows, entry_cols, entry_vals, info)
|
|
deallocate(entry_rows, entry_cols, entry_vals)
|
|
|
|
! block (2,2) = 2I
|
|
allocate(entry_rows(field2_local_rows), entry_cols(field2_local_rows), entry_vals(field2_local_rows))
|
|
do i_local_row = 1, field2_local_rows
|
|
field2_global_row = field2_rows(i_local_row)
|
|
entry_rows(i_local_row)=field2_global_row; entry_cols(i_local_row)=field2_global_row
|
|
entry_vals(i_local_row)=2.0_psb_dpk_
|
|
end do
|
|
call nested_matrix%ins(2, 2, field2_local_rows, entry_rows, entry_cols, entry_vals, info)
|
|
deallocate(entry_rows, entry_cols, entry_vals)
|
|
|
|
! block (1,2) = C : rows field1, cols field2 ; C(r,r)=-1, C(r,r-1)=-1
|
|
allocate(entry_rows(2*field1_local_rows), entry_cols(2*field1_local_rows), entry_vals(2*field1_local_rows))
|
|
entry_idx = 0
|
|
do i_local_row = 1, field1_local_rows
|
|
field1_global_row = field1_rows(i_local_row)
|
|
entry_idx = entry_idx + 1
|
|
entry_rows(entry_idx) = field1_global_row
|
|
entry_cols(entry_idx) = field1_global_row
|
|
entry_vals(entry_idx) = -1.0_psb_dpk_
|
|
if (field1_global_row > 1) then
|
|
entry_idx = entry_idx + 1
|
|
entry_rows(entry_idx) = field1_global_row
|
|
entry_cols(entry_idx) = field1_global_row - 1_psb_lpk_
|
|
entry_vals(entry_idx) = -1.0_psb_dpk_
|
|
end if
|
|
end do
|
|
call nested_matrix%ins(1, 2, entry_idx, entry_rows, entry_cols, entry_vals, info)
|
|
deallocate(entry_rows, entry_cols, entry_vals)
|
|
|
|
! block (2,1) = C^T : rows field2, cols field1 ; C^T(s,s)=-1, C^T(s,s+1)=-1
|
|
allocate(entry_rows(2*field2_local_rows), entry_cols(2*field2_local_rows), entry_vals(2*field2_local_rows))
|
|
entry_idx = 0
|
|
do i_local_row = 1, field2_local_rows
|
|
field2_global_row = field2_rows(i_local_row)
|
|
entry_idx = entry_idx + 1
|
|
entry_rows(entry_idx) = field2_global_row
|
|
entry_cols(entry_idx) = field2_global_row
|
|
entry_vals(entry_idx) = -1.0_psb_dpk_
|
|
if (field2_global_row < field_size) then
|
|
entry_idx = entry_idx + 1
|
|
entry_rows(entry_idx) = field2_global_row
|
|
entry_cols(entry_idx) = field2_global_row + 1_psb_lpk_
|
|
entry_vals(entry_idx) = -1.0_psb_dpk_
|
|
end if
|
|
end do
|
|
call nested_matrix%ins(2, 1, entry_idx, entry_rows, entry_cols, entry_vals, info)
|
|
deallocate(entry_rows, entry_cols, entry_vals)
|
|
|
|
!---------------------------------------------------------------
|
|
! 3) assemble: from here nested_matrix%a_glob / nested_matrix%desc_glob are ready for Krylov
|
|
!---------------------------------------------------------------
|
|
call nested_matrix%asb(info)
|
|
if (info /= psb_success_) then
|
|
if (my_rank==0) write(*,*) 'FAIL asb info=', info; goto 9999
|
|
end if
|
|
|
|
!---------------------------------------------------------------
|
|
! 4) consistent RHS x_exact=1, rhs = M*x_exact, then solve with standard CG
|
|
!---------------------------------------------------------------
|
|
call psb_geall(x_exact, nested_matrix%desc_glob, info)
|
|
do i_local_row = 1, nested_matrix%desc_glob%get_local_rows()
|
|
call nested_matrix%desc_glob%l2g(i_local_row, field1_global_row, info)
|
|
insert_value(1) = 1.0_psb_dpk_
|
|
call psb_geins(1, [field1_global_row], insert_value, x_exact, nested_matrix%desc_glob, info)
|
|
end do
|
|
call psb_geasb(x_exact, nested_matrix%desc_glob, info)
|
|
|
|
call psb_geall(rhs, nested_matrix%desc_glob, info); call psb_geasb(rhs, nested_matrix%desc_glob, info)
|
|
call psb_spmm(done, nested_matrix%a_glob, x_exact, dzero, rhs, nested_matrix%desc_glob, info)
|
|
norm_x_exact = psb_genrm2(x_exact, nested_matrix%desc_glob, info)
|
|
|
|
call preconditioner%init(context, 'NONE', info)
|
|
call preconditioner%build(nested_matrix%a_glob, nested_matrix%desc_glob, info)
|
|
|
|
call psb_geall(x_solution, nested_matrix%desc_glob, info); call psb_geasb(x_solution, nested_matrix%desc_glob, info)
|
|
call psb_krylov('CG', nested_matrix%a_glob, preconditioner, rhs, x_solution, stop_tol, nested_matrix%desc_glob, info, &
|
|
& itmax=max_iter, iter=n_iter, err=final_residual, istop=stop_criterion)
|
|
if (info /= psb_success_) then
|
|
if (my_rank==0) write(*,*) 'FAIL krylov info=', info; goto 9999
|
|
end if
|
|
|
|
call psb_geaxpby(-done, x_exact, done, x_solution, nested_matrix%desc_glob, info)
|
|
solution_error = psb_genrm2(x_solution, nested_matrix%desc_glob, info) / norm_x_exact
|
|
|
|
if (my_rank == 0) then
|
|
write(*,'(a,i0,a,i0)') ' np=', num_procs, ' N(global)=', 2*field_size
|
|
write(*,'(a,i0)') ' CG iterations = ', n_iter
|
|
write(*,'(a,es12.4)') ' CG relative residual = ', final_residual
|
|
write(*,'(a,es12.4)') ' ||x - x_exact||/||x_ex|| = ', solution_error
|
|
if ((n_iter < max_iter) .and. (solution_error <= solution_tol)) then
|
|
write(*,*) '[PASS] nested matrix built with the utility, solved with CG'
|
|
else
|
|
write(*,*) '[FAIL] tol ', solution_tol
|
|
end if
|
|
end if
|
|
|
|
call nested_matrix%free(info)
|
|
|
|
9999 continue
|
|
call psb_exit(context)
|
|
|
|
end program psb_d_nest_builder_test
|