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219 lines
10 KiB
Fortran
219 lines
10 KiB
Fortran
!
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! Parallel Sparse BLAS version 3.5
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! (C) Copyright 2006-2018
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! Salvatore Filippone
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! Alfredo Buttari
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions
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! are met:
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! 1. Redistributions of source code must retain the above copyright
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! notice, this list of conditions and the following disclaimer.
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! 2. Redistributions in binary form must reproduce the above copyright
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! notice, this list of conditions, and the following disclaimer in the
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! documentation and/or other materials provided with the distribution.
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! 3. The name of the PSBLAS group or the names of its contributors may
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! not be used to endorse or promote products derived from this
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! software without specific prior written permission.
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!
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! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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! POSSIBILITY OF SUCH DAMAGE.
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!
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!
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! File: psb_d_nest_glob_test.F90
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!
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! Program: psb_d_nest_glob_test
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! Author: Simone Staccone (Stack-1)
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!
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! Validates the "global nested operator" path built through the
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! psb_d_nest_matrix utility (init/ins/asb): the user only supplies the field
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! sizes and the block values, and obtains nested_matrix%a_glob /
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! nested_matrix%desc_glob ready for psb_spmm. The result is compared against
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! the SAME matrix assembled monolithically in CSR on the same global
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! descriptor (oracle).
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!
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! 2x2 operator (fields of size field_size):
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! [ A B^T ] A = tridiag(-1, 2, -1) (block 1,1)
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! [ B 0 ] B^T = 0.5 * I (block 1,2)
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! B = 0.3 * I (block 2,1)
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! (2,2) absent
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!
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! Run: ./psb_d_nest_glob_test (serial)
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! mpirun -np 4 ./psb_d_nest_glob_test
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!
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program psb_d_nest_glob_test
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use psb_base_mod
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use psb_util_mod
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use psb_d_nest_mod
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implicit none
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type(psb_ctxt_type) :: context
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integer(psb_ipk_) :: my_rank, num_procs, info, i_local_row
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integer(psb_ipk_) :: entry_idx, field1_local_rows, field2_local_rows
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integer(psb_lpk_) :: global_row, global_col, field_size
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type(psb_d_nest_matrix) :: nested_matrix ! the nested operator (init/ins/asb)
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type(psb_dspmat_type) :: monolithic_ref ! monolithic CSR oracle
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type(psb_d_vect_type) :: x_vec, y_nested, y_monolithic
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integer(psb_lpk_), allocatable :: entry_rows(:), entry_cols(:)
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real(psb_dpk_), allocatable :: entry_vals(:)
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real(psb_dpk_) :: insert_value(1)
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real(psb_dpk_) :: mismatch_norm
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real(psb_dpk_), parameter :: tolerance = 1.0e-10_psb_dpk_
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call psb_init(context)
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call psb_info(context, my_rank, num_procs)
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field_size = 32 ! global size of each field
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!---------------------------------------------------------------
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! 1) build the 2x2 nested operator through the utility
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!---------------------------------------------------------------
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call nested_matrix%init(context, [field_size, field_size], info)
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if (info /= psb_success_) then
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if (my_rank==0) write(*,*) 'FAIL: nested_matrix%init info=', info; goto 9999
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end if
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field1_local_rows = nested_matrix%field_desc(1)%get_local_rows()
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field2_local_rows = nested_matrix%field_desc(2)%get_local_rows()
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!---------------------------------------------------------------
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! 2) insert the block values (owned rows only)
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!---------------------------------------------------------------
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! A = tridiag(-1,2,-1) -> block (1,1)
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allocate(entry_rows(3*field1_local_rows), entry_cols(3*field1_local_rows), &
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& entry_vals(3*field1_local_rows))
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entry_idx = 0
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do i_local_row = 1, field1_local_rows
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call nested_matrix%field_desc(1)%l2g(i_local_row, global_row, info)
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = global_row
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entry_cols(entry_idx) = global_row
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entry_vals(entry_idx) = 2.0_psb_dpk_
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if (global_row > 1) then
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = global_row
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entry_cols(entry_idx) = global_row - 1_psb_lpk_
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entry_vals(entry_idx) = -1.0_psb_dpk_
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end if
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if (global_row < field_size) then
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = global_row
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entry_cols(entry_idx) = global_row + 1_psb_lpk_
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entry_vals(entry_idx) = -1.0_psb_dpk_
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end if
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end do
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call nested_matrix%ins(1, 1, entry_idx, entry_rows, entry_cols, entry_vals, info)
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deallocate(entry_rows, entry_cols, entry_vals)
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! B^T = 0.5 I -> block (1,2): rows in field 1, columns in field 2
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allocate(entry_rows(field1_local_rows), entry_cols(field1_local_rows), entry_vals(field1_local_rows))
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entry_idx = 0
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do i_local_row = 1, field1_local_rows
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call nested_matrix%field_desc(1)%l2g(i_local_row, global_row, info)
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = global_row
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entry_cols(entry_idx) = global_row
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entry_vals(entry_idx) = 0.5_psb_dpk_
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end do
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call nested_matrix%ins(1, 2, entry_idx, entry_rows, entry_cols, entry_vals, info)
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deallocate(entry_rows, entry_cols, entry_vals)
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! B = 0.3 I -> block (2,1): rows in field 2, columns in field 1
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allocate(entry_rows(field2_local_rows), entry_cols(field2_local_rows), entry_vals(field2_local_rows))
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entry_idx = 0
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do i_local_row = 1, field2_local_rows
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call nested_matrix%field_desc(2)%l2g(i_local_row, global_row, info)
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = global_row
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entry_cols(entry_idx) = global_row
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entry_vals(entry_idx) = 0.3_psb_dpk_
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end do
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call nested_matrix%ins(2, 1, entry_idx, entry_rows, entry_cols, entry_vals, info)
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deallocate(entry_rows, entry_cols, entry_vals)
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call nested_matrix%asb(info)
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if (info /= psb_success_) then
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if (my_rank==0) write(*,*) 'FAIL: nested_matrix%asb info=', info; goto 9999
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end if
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!---------------------------------------------------------------
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! 3) monolithic oracle on nested_matrix%desc_glob (global offsets:
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! field 1 -> g ; field 2 -> field_size + g)
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!---------------------------------------------------------------
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call psb_spall(monolithic_ref, nested_matrix%desc_glob, info, &
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& nnz=5*nested_matrix%desc_glob%get_local_rows())
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do i_local_row = 1, field1_local_rows ! field-1 rows
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call nested_matrix%field_desc(1)%l2g(i_local_row, global_row, info)
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insert_value(1) = 2.0_psb_dpk_
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call psb_spins(1,[global_row],[global_row],insert_value,monolithic_ref,nested_matrix%desc_glob,info)
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if (global_row > 1) then
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insert_value(1)=-1.0_psb_dpk_
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call psb_spins(1,[global_row],[global_row-1_psb_lpk_],insert_value,monolithic_ref,nested_matrix%desc_glob,info)
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end if
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if (global_row < field_size) then
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insert_value(1)=-1.0_psb_dpk_
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call psb_spins(1,[global_row],[global_row+1_psb_lpk_],insert_value,monolithic_ref,nested_matrix%desc_glob,info)
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end if
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global_col = field_size + global_row
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insert_value(1) = 0.5_psb_dpk_ ! B^T
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call psb_spins(1,[global_row],[global_col],insert_value,monolithic_ref,nested_matrix%desc_glob,info)
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end do
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do i_local_row = 1, field2_local_rows ! field-2 rows
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call nested_matrix%field_desc(2)%l2g(i_local_row, global_row, info)
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global_col = global_row
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insert_value(1) = 0.3_psb_dpk_ ! B
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call psb_spins(1,[field_size+global_row],[global_col],insert_value,monolithic_ref,nested_matrix%desc_glob,info)
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end do
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call psb_spasb(monolithic_ref, nested_matrix%desc_glob, info, dupl=psb_dupl_add_)
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!---------------------------------------------------------------
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! 4) compare the two matrix-vector products on a distinct-valued x (x[g] = g)
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!---------------------------------------------------------------
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call psb_geall(x_vec, nested_matrix%desc_glob, info)
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do i_local_row = 1, nested_matrix%desc_glob%get_local_rows()
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call nested_matrix%desc_glob%l2g(i_local_row, global_row, info)
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insert_value(1) = real(global_row, psb_dpk_)
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call psb_geins(1, [global_row], insert_value, x_vec, nested_matrix%desc_glob, info)
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end do
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call psb_geasb(x_vec, nested_matrix%desc_glob, info)
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call psb_geall(y_nested, nested_matrix%desc_glob, info); call psb_geasb(y_nested, nested_matrix%desc_glob, info)
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call psb_geall(y_monolithic, nested_matrix%desc_glob, info); call psb_geasb(y_monolithic, nested_matrix%desc_glob, info)
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call psb_spmm(done, nested_matrix%a_glob, x_vec, dzero, y_nested, nested_matrix%desc_glob, info) ! via nested csmv
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if (info /= psb_success_) then
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if (my_rank == 0) write(*,*) 'FAIL: psb_spmm (nested) info=', info
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goto 9999
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end if
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call psb_spmm(done, monolithic_ref, x_vec, dzero, y_monolithic, nested_matrix%desc_glob, info) ! CSR oracle
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call psb_geaxpby(done, y_nested, -done, y_monolithic, nested_matrix%desc_glob, info)
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mismatch_norm = psb_genrm2(y_monolithic, nested_matrix%desc_glob, info)
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if (my_rank == 0) then
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write(*,'(a,i0,a,i0)') ' np=', num_procs, ' N(field)=', field_size
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write(*,'(a,es12.4)') ' ||nested - monolithic||_2 = ', mismatch_norm
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if (mismatch_norm <= tolerance) then
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write(*,*) '[PASS] nested global operator matches monolithic CSR'
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else
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write(*,*) '[FAIL] mismatch above tolerance ', tolerance
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end if
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end if
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call nested_matrix%free(info)
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9999 continue
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call psb_exit(context)
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end program psb_d_nest_glob_test
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