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208 lines
9.6 KiB
Fortran
208 lines
9.6 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_builder_test.F90
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!
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! Program: psb_d_nest_builder_test
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! Author: Simone Staccone (Stack-1)
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!
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! Same operator as the low-level CG test (1D Laplacian reordered red-black, SPD
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! and ill-conditioned) but built with the psb_d_nest_matrix utility: the user
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! declares nested_matrix, gives the field sizes, inserts the block values and
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! calls asb. All the setup (per-field descriptors, union halo, compose, setup,
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! wrap) is handled by the utility. Solved with CG and checked against the
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! exact solution.
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!
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! M = [ 2I C ] C(r,r) = -1 , C(r,r-1) = -1 (the Laplacian edges)
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! [ C^T 2I ]
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!
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! Run: ./psb_d_nest_builder_test ; mpirun -np 4 ./psb_d_nest_builder_test
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!
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program psb_d_nest_builder_test
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use psb_base_mod
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use psb_prec_mod
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use psb_linsolve_mod
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use psb_d_nest_mod ! umbrella: includes psb_d_nest_matrix (builder)
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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, entry_idx
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integer(psb_ipk_) :: field1_local_rows, field2_local_rows
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integer(psb_lpk_) :: field1_global_row, field2_global_row, field_size
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type(psb_d_nest_matrix) :: nested_matrix ! the only object needed
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type(psb_dprec_type) :: preconditioner
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type(psb_d_vect_type) :: x_solution, rhs, x_exact
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real(psb_dpk_) :: insert_value(1)
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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_) :: stop_tol, final_residual, norm_x_exact, solution_error
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integer(psb_ipk_) :: max_iter, n_iter, stop_criterion
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real(psb_dpk_), parameter :: solution_tol = 1.0e-6_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 = 512 ! global size of each field (N = 2*field_size)
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stop_tol = 1.0e-9_psb_dpk_
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max_iter = 4000
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stop_criterion = 2
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!---------------------------------------------------------------
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! 1) create the nested operator: 2 fields of global size field_size
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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 init info=', info; goto 9999
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end if
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! rows owned by this process in each field
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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 values, one block at a time (owned rows only)
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!---------------------------------------------------------------
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! block (1,1) = 2I
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allocate(entry_rows(field1_local_rows), entry_cols(field1_local_rows), entry_vals(field1_local_rows))
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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, field1_global_row, info)
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entry_rows(i_local_row)=field1_global_row; entry_cols(i_local_row)=field1_global_row
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entry_vals(i_local_row)=2.0_psb_dpk_
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end do
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call nested_matrix%ins(1, 1, field1_local_rows, entry_rows, entry_cols, entry_vals, info)
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deallocate(entry_rows, entry_cols, entry_vals)
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! block (2,2) = 2I
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allocate(entry_rows(field2_local_rows), entry_cols(field2_local_rows), entry_vals(field2_local_rows))
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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, field2_global_row, info)
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entry_rows(i_local_row)=field2_global_row; entry_cols(i_local_row)=field2_global_row
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entry_vals(i_local_row)=2.0_psb_dpk_
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end do
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call nested_matrix%ins(2, 2, field2_local_rows, entry_rows, entry_cols, entry_vals, info)
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deallocate(entry_rows, entry_cols, entry_vals)
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! block (1,2) = C : rows field1, cols field2 ; C(r,r)=-1, C(r,r-1)=-1
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allocate(entry_rows(2*field1_local_rows), entry_cols(2*field1_local_rows), entry_vals(2*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, field1_global_row, info)
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = field1_global_row
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entry_cols(entry_idx) = field1_global_row
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entry_vals(entry_idx) = -1.0_psb_dpk_
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if (field1_global_row > 1) then
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = field1_global_row
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entry_cols(entry_idx) = field1_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, 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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! block (2,1) = C^T : rows field2, cols field1 ; C^T(s,s)=-1, C^T(s,s+1)=-1
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allocate(entry_rows(2*field2_local_rows), entry_cols(2*field2_local_rows), entry_vals(2*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, field2_global_row, info)
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = field2_global_row
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entry_cols(entry_idx) = field2_global_row
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entry_vals(entry_idx) = -1.0_psb_dpk_
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if (field2_global_row < field_size) then
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entry_idx = entry_idx + 1
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entry_rows(entry_idx) = field2_global_row
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entry_cols(entry_idx) = field2_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(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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!---------------------------------------------------------------
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! 3) assemble: from here nested_matrix%a_glob / nested_matrix%desc_glob are ready for Krylov
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!---------------------------------------------------------------
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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 asb info=', info; goto 9999
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end if
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!---------------------------------------------------------------
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! 4) consistent RHS x_exact=1, rhs = M*x_exact, then solve with standard CG
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!---------------------------------------------------------------
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call psb_geall(x_exact, 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, field1_global_row, info)
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insert_value(1) = 1.0_psb_dpk_
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call psb_geins(1, [field1_global_row], insert_value, x_exact, nested_matrix%desc_glob, info)
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end do
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call psb_geasb(x_exact, nested_matrix%desc_glob, info)
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call psb_geall(rhs, nested_matrix%desc_glob, info); call psb_geasb(rhs, nested_matrix%desc_glob, info)
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call psb_spmm(done, nested_matrix%a_glob, x_exact, dzero, rhs, nested_matrix%desc_glob, info)
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norm_x_exact = psb_genrm2(x_exact, nested_matrix%desc_glob, info)
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call preconditioner%init(context, 'NONE', info)
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call preconditioner%build(nested_matrix%a_glob, nested_matrix%desc_glob, info)
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call psb_geall(x_solution, nested_matrix%desc_glob, info); call psb_geasb(x_solution, nested_matrix%desc_glob, info)
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call psb_krylov('CG', nested_matrix%a_glob, preconditioner, rhs, x_solution, stop_tol, nested_matrix%desc_glob, info, &
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& itmax=max_iter, iter=n_iter, err=final_residual, istop=stop_criterion)
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if (info /= psb_success_) then
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if (my_rank==0) write(*,*) 'FAIL krylov info=', info; goto 9999
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end if
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call psb_geaxpby(-done, x_exact, done, x_solution, nested_matrix%desc_glob, info)
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solution_error = psb_genrm2(x_solution, nested_matrix%desc_glob, info) / norm_x_exact
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if (my_rank == 0) then
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write(*,'(a,i0,a,i0)') ' np=', num_procs, ' N(global)=', 2*field_size
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write(*,'(a,i0)') ' CG iterations = ', n_iter
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write(*,'(a,es12.4)') ' CG relative residual = ', final_residual
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write(*,'(a,es12.4)') ' ||x - x_exact||/||x_ex|| = ', solution_error
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if ((n_iter < max_iter) .and. (solution_error <= solution_tol)) then
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write(*,*) '[PASS] nested matrix built with the utility, solved with CG'
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else
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write(*,*) '[FAIL] tol ', solution_tol
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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_builder_test
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