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647 lines
20 KiB
Fortran
647 lines
20 KiB
Fortran
!
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!
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! MLD2P4 version 2.2
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! MultiLevel Domain Decomposition Parallel Preconditioners Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.5)
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!
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! (C) Copyright 2008-2018
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!
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! Salvatore Filippone
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! Pasqua D'Ambra
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! Daniela di Serafino
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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 MLD2P4 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 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 MLD2P4 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: mld_caggrmat_minnrg_asb.F90
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!
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! Subroutine: mld_caggrmat_minnrg_asb
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! Version: complex
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!
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! This routine builds a coarse-level matrix A_C from a fine-level matrix A
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! by using the Galerkin approach, i.e.
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!
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! A_C = P_C^T A P_C,
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!
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! where P_C is a prolongator from the coarse level to the fine one.
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!
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! The prolongator P_C is built according to a smoothed aggregation algorithm,
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! i.e. it is obtained by applying a damped Jacobi smoother to the piecewise
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! constant interpolation operator P corresponding to the fine-to-coarse level
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! mapping built by the mld_aggrmap_bld subroutine:
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!
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! P_C = (I - omega*D^(-1)A) * P,
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!
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! where D is the diagonal matrix with main diagonal equal to the main diagonal
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! of A, and omega is a suitable smoothing parameter. An estimate of the spectral
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! radius of D^(-1)A, to be used in the computation of omega, is provided,
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! according to the value of p%parms%aggr_omega_alg, specified by the user
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! through mld_cprecinit and mld_cprecset.
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! 4. Minimum energy aggregation:
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! M. Sala, R. Tuminaro: A new Petrov-Galerkin smoothed aggregation preconditioner
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! for nonsymmetric linear systems, SIAM J. Sci. Comput., 31(1):143-166 (2008)
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!
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! On output from this routine the entries of AC, op_prol, op_restr
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! are still in "global numbering" mode; this is fixed in the calling routine
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! aggregator%mat_asb.
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!
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!
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! Arguments:
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! a - type(psb_cspmat_type), input.
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! The sparse matrix structure containing the local part of
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! the fine-level matrix.
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! desc_a - type(psb_desc_type), input.
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! The communication descriptor of the fine-level matrix.
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! p - type(mld_c_onelev_type), input/output.
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! The 'one-level' data structure that will contain the local
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! part of the matrix to be built as well as the information
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! concerning the prolongator and its transpose.
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! parms - type(mld_sml_parms), input
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! Parameters controlling the choice of algorithm
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! ac - type(psb_cspmat_type), output
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! The coarse matrix on output
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!
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! ilaggr - integer, dimension(:), input
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! The mapping between the row indices of the coarse-level
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! matrix and the row indices of the fine-level matrix.
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! ilaggr(i)=j means that node i in the adjacency graph
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! of the fine-level matrix is mapped onto node j in the
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! adjacency graph of the coarse-level matrix. Note that the indices
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! are assumed to be shifted so as to make sure the ranges on
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! the various processes do not overlap.
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! nlaggr - integer, dimension(:) input
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! nlaggr(i) contains the aggregates held by process i.
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! op_prol - type(psb_cspmat_type), input/output
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! The tentative prolongator on input, the computed prolongator on output
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!
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! op_restr - type(psb_cspmat_type), output
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! The restrictor operator; in this particular case, it is different
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! from the transpose of the prolongator.
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!
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! info - integer, output.
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! Error code.
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!
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!
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subroutine mld_caggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr,parms,ac,op_prol,op_restr,info)
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use psb_base_mod
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use mld_base_prec_type
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use mld_c_inner_mod, mld_protect_name => mld_caggrmat_minnrg_asb
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implicit none
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! Arguments
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type(psb_cspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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integer(psb_lpk_), intent(inout) :: ilaggr(:), nlaggr(:)
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type(mld_sml_parms), intent(inout) :: parms
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type(psb_lcspmat_type), intent(inout) :: op_prol
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type(psb_lcspmat_type), intent(out) :: ac,op_restr
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integer(psb_ipk_), intent(out) :: info
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! Local variables
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integer(psb_lpk_) :: nrow, nglob, ncol, ntaggr, nzac, ip, ndx,&
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& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrt
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integer(psb_ipk_) :: ictxt,np,me, icomm
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character(len=20) :: name
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type(psb_lcspmat_type) :: la, af, ptilde, rtilde, atran, atp, atdatp
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type(psb_lcspmat_type) :: am3,am4, ap, adap,atmp,rada, ra, atmp2, dap, dadap, da
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type(psb_lcspmat_type) :: dat, datp, datdatp, atmp3, tmp_prol
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type(psb_lc_coo_sparse_mat) :: tmpcoo
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type(psb_lc_csr_sparse_mat) :: acsr1, acsr2, acsr3, acsr, acsrf
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type(psb_lc_csc_sparse_mat) :: csc_dap, csc_dadap, csc_datp, csc_datdatp, acsc
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complex(psb_spk_), allocatable :: adiag(:), adinv(:)
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complex(psb_spk_), allocatable :: omf(:), omp(:), omi(:), oden(:)
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logical :: filter_mat
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integer(psb_ipk_) :: ierr(5)
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integer(psb_ipk_) :: debug_level, debug_unit, err_act
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integer(psb_ipk_), parameter :: ncmax=16
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real(psb_spk_) :: anorm, theta
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complex(psb_spk_) :: tmp, alpha, beta, ommx
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name='mld_aggrmat_minnrg'
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info=psb_success_
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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ictxt = desc_a%get_context()
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icomm = desc_a%get_mpic()
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ictxt = desc_a%get_context()
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call psb_info(ictxt, me, np)
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nglob = desc_a%get_global_rows()
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nrow = desc_a%get_local_rows()
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ncol = desc_a%get_local_cols()
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theta = parms%aggr_thresh
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naggr = nlaggr(me+1)
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ntaggr = sum(nlaggr)
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naggrm1 = sum(nlaggr(1:me))
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naggrp1 = sum(nlaggr(1:me+1))
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filter_mat = (parms%aggr_filter == mld_filter_mat_)
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! naggr: number of local aggregates
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! nrow: local rows.
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!
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allocate(adinv(ncol),&
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& omf(ncol),omp(ntaggr),oden(ntaggr),omi(ncol),stat=info)
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if (info /= psb_success_) then
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info=psb_err_alloc_request_; ierr(1)=6*ncol+ntaggr;
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call psb_errpush(info,name,i_err=ierr,a_err='complex(psb_spk_)')
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goto 9999
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end if
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! Get the diagonal D
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adiag = a%get_diag(info)
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if (info == psb_success_) &
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& call psb_realloc(ncol,adiag,info)
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if (info == psb_success_) &
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& call psb_halo(adiag,desc_a,info)
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if (info == psb_success_) call a%cp_to_l(la)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_getdiag')
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goto 9999
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end if
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do i=1,size(adiag)
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if (adiag(i) /= czero) then
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adinv(i) = cone / adiag(i)
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else
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adinv(i) = cone
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end if
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end do
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! 1. Allocate Ptilde in sparse matrix form
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call op_prol%mv_to(tmpcoo)
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call ptilde%mv_from(tmpcoo)
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call ptilde%cscnv(info,type='csr')
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if (info == psb_success_) call la%cscnv(am3,info,type='csr',dupl=psb_dupl_add_)
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if (info == psb_success_) call la%cscnv(da,info,type='csr',dupl=psb_dupl_add_)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
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goto 9999
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end if
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Initial copies done.'
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call da%scal(adinv,info)
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call psb_spspmm(da,ptilde,dap,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='spspmm 1')
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goto 9999
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end if
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call dap%clone(atmp,info)
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call psb_sphalo(atmp,desc_a,am4,info,&
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& colcnv=.false.,rowscale=.true.,outfmt='CSR ')
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if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=am4)
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if (info == psb_success_) call am4%free()
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call psb_spspmm(da,atmp,dadap,info)
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call atmp%free()
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! !$ write(0,*) 'Columns of AP',psb_sp_get_ncols(ap)
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! !$ write(0,*) 'Columns of ADAP',psb_sp_get_ncols(adap)
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call dap%mv_to(csc_dap)
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call dadap%mv_to(csc_dadap)
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call csc_mat_col_prod(csc_dap,csc_dadap,omp,info)
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call csc_mat_col_prod(csc_dadap,csc_dadap,oden,info)
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call psb_sum(ictxt,omp)
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call psb_sum(ictxt,oden)
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! !$ write(0,*) trim(name),' OMP :',omp
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! !$ write(0,*) trim(name),' ODEN:',oden
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omp = omp/oden
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! !$ write(0,*) 'Check on output prolongator ',omp(1:min(size(omp),10))
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done NUMBMM 1'
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call am3%mv_to(acsr3)
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! Compute omega_int
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ommx = czero
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do i=1, ncol
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omi(i) = omp(ilaggr(i))
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if(abs(omi(i)) .gt. abs(ommx)) ommx = omi(i)
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end do
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! Compute omega_fine
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do i=1, nrow
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omf(i) = ommx
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do j=acsr3%irp(i),acsr3%irp(i+1)-1
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if(abs(omi(acsr3%ja(j))) .lt. abs(omf(i))) omf(i)=omi(acsr3%ja(j))
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end do
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!!$ if(min(real(omf(i)),aimag(omf(i))) < szero) omf(i) = czero
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if(psb_minreal(omf(i)) < szero) omf(i) = czero
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end do
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omf(1:nrow) = omf(1:nrow) * adinv(1:nrow)
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if (filter_mat) then
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!
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! Build the filtered matrix Af from A
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!
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call la%cscnv(acsrf,info,dupl=psb_dupl_add_)
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do i=1,nrow
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tmp = czero
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jd = -1
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do j=acsrf%irp(i),acsrf%irp(i+1)-1
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if (acsrf%ja(j) == i) jd = j
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if (abs(acsrf%val(j)) < theta*sqrt(abs(adiag(i)*adiag(acsrf%ja(j))))) then
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tmp=tmp+acsrf%val(j)
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acsrf%val(j)=czero
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endif
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enddo
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if (jd == -1) then
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write(0,*) 'Wrong input: we need the diagonal!!!!', i
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else
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acsrf%val(jd)=acsrf%val(jd)-tmp
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end if
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enddo
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! Take out zeroed terms
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call acsrf%clean_zeros(info)
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!
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! Build the smoothed prolongator using the filtered matrix
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!
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do i=1,acsrf%get_nrows()
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do j=acsrf%irp(i),acsrf%irp(i+1)-1
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if (acsrf%ja(j) == i) then
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acsrf%val(j) = cone - omf(i)*acsrf%val(j)
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else
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acsrf%val(j) = - omf(i)*acsrf%val(j)
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end if
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end do
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end do
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done gather, going for SYMBMM 1'
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call af%mv_from(acsrf)
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!
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! op_prol = (I-w*D*Af)Ptilde
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! Doing it this way means to consider diag(Af_i)
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!
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!
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call psb_spspmm(af,ptilde,op_prol,info)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done SPSPMM 1'
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else
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!
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! Build the smoothed prolongator using the original matrix
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!
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do i=1,acsr3%get_nrows()
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do j=acsr3%irp(i),acsr3%irp(i+1)-1
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if (acsr3%ja(j) == i) then
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acsr3%val(j) = cone - omf(i)*acsr3%val(j)
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else
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acsr3%val(j) = - omf(i)*acsr3%val(j)
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end if
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end do
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end do
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call am3%mv_from(acsr3)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done gather, going for SYMBMM 1'
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!
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!
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! op_prol = (I-w*D*A)Ptilde
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!
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!
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call psb_spspmm(am3,ptilde,op_prol,info)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done NUMBMM 1'
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end if
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!
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! Ok, let's start over with the restrictor
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!
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call ptilde%transc(rtilde)
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call la%cscnv(atmp,info,type='csr')
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call psb_sphalo(atmp,desc_a,am4,info,&
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& colcnv=.true.,rowscale=.true.)
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nrt = am4%get_nrows()
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call am4%csclip(atmp2,info,lone,nrt,lone,ncol)
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call atmp2%cscnv(info,type='CSR')
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if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=atmp2)
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call am4%free()
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call atmp2%free()
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! This is to compute the transpose. It ONLY works if the
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! original A has a symmetric pattern.
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call atmp%transc(atmp2)
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call atmp2%csclip(dat,info,lone,nrow,lone,ncol)
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call dat%cscnv(info,type='csr')
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call dat%scal(adinv,info)
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! Now for the product.
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call psb_spspmm(dat,ptilde,datp,info)
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call datp%clone(atmp2,info)
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call psb_sphalo(atmp2,desc_a,am4,info,&
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& colcnv=.false.,rowscale=.true.,outfmt='CSR ')
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if (info == psb_success_) call psb_rwextd(ncol,atmp2,info,b=am4)
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if (info == psb_success_) call am4%free()
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call psb_symbmm(dat,atmp2,datdatp,info)
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call psb_numbmm(dat,atmp2,datdatp)
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call atmp2%free()
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call datp%mv_to(csc_datp)
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call datdatp%mv_to(csc_datdatp)
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call csc_mat_col_prod(csc_datp,csc_datdatp,omp,info)
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call csc_mat_col_prod(csc_datdatp,csc_datdatp,oden,info)
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call psb_sum(ictxt,omp)
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call psb_sum(ictxt,oden)
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! !$ write(debug_unit,*) trim(name),' OMP_R :',omp
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! ! $ write(debug_unit,*) trim(name),' ODEN_R:',oden
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omp = omp/oden
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! !$ write(0,*) 'Check on output restrictor',omp(1:min(size(omp),10))
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! Compute omega_int
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ommx = czero
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do i=1, ncol
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omi(i) = omp(ilaggr(i))
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if(abs(omi(i)) .gt. abs(ommx)) ommx = omi(i)
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end do
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! Compute omega_fine
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! Going over the columns of atmp means going over the rows
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! of A^T. Hopefully ;-)
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call atmp%cp_to(acsc)
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do i=1, nrow
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omf(i) = ommx
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do j= acsc%icp(i),acsc%icp(i+1)-1
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if(abs(omi(acsc%ia(j))) .lt. abs(omf(i))) omf(i)=omi(acsc%ia(j))
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end do
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!!$ if(min(real(omf(i)),aimag(omf(i))) < szero) omf(i) = czero
|
|
if(psb_minreal(omf(i)) < szero) omf(i) = czero
|
|
end do
|
|
omf(1:nrow) = omf(1:nrow)*adinv(1:nrow)
|
|
call psb_halo(omf,desc_a,info)
|
|
call acsc%free()
|
|
|
|
|
|
call atmp%mv_to(acsr1)
|
|
|
|
do i=1,acsr1%get_nrows()
|
|
do j=acsr1%irp(i),acsr1%irp(i+1)-1
|
|
if (acsr1%ja(j) == i) then
|
|
acsr1%val(j) = cone - acsr1%val(j)*omf(acsr1%ja(j))
|
|
else
|
|
acsr1%val(j) = - acsr1%val(j)*omf(acsr1%ja(j))
|
|
end if
|
|
end do
|
|
end do
|
|
call atmp%mv_from(acsr1)
|
|
|
|
call rtilde%mv_to(tmpcoo)
|
|
nzl = tmpcoo%get_nzeros()
|
|
i=0
|
|
do k=1, nzl
|
|
if ((naggrm1 < tmpcoo%ia(k)) .and. (tmpcoo%ia(k) <= naggrp1)) then
|
|
i = i+1
|
|
tmpcoo%val(i) = tmpcoo%val(k)
|
|
tmpcoo%ia(i) = tmpcoo%ia(k)
|
|
tmpcoo%ja(i) = tmpcoo%ja(k)
|
|
end if
|
|
end do
|
|
call tmpcoo%set_nzeros(i)
|
|
call rtilde%mv_from(tmpcoo)
|
|
call rtilde%cscnv(info,type='csr')
|
|
|
|
call psb_spspmm(rtilde,atmp,op_restr,info)
|
|
|
|
!
|
|
! Now we have to gather the halo of op_prol, and add it to itself
|
|
! to multiply it by A,
|
|
!
|
|
call op_prol%clone(tmp_prol,info)
|
|
if (info == psb_success_) call psb_sphalo(tmp_prol,desc_a,am4,info,&
|
|
& colcnv=.false.,rowscale=.true.)
|
|
if (info == psb_success_) call psb_rwextd(ncol,tmp_prol,info,b=am4)
|
|
if (info == psb_success_) call am4%free()
|
|
|
|
if(info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,a_err='Halo of op_prol')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Now we have to fix this. The only rows of B that are correct
|
|
! are those corresponding to "local" aggregates, i.e. indices in ilaggr(:)
|
|
!
|
|
call op_restr%mv_to(tmpcoo)
|
|
|
|
nzl = tmpcoo%get_nzeros()
|
|
i=0
|
|
do k=1, nzl
|
|
if ((naggrm1 < tmpcoo%ia(k)) .and. (tmpcoo%ia(k) <= naggrp1)) then
|
|
i = i+1
|
|
tmpcoo%val(i) = tmpcoo%val(k)
|
|
tmpcoo%ia(i) = tmpcoo%ia(k)
|
|
tmpcoo%ja(i) = tmpcoo%ja(k)
|
|
end if
|
|
end do
|
|
call tmpcoo%set_nzeros(i)
|
|
call op_restr%mv_from(tmpcoo)
|
|
call op_restr%cscnv(info,type='csr')
|
|
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& 'starting sphalo/ rwxtd'
|
|
|
|
call psb_spspmm(la,tmp_prol,am3,info)
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Done SPSPMM 2'
|
|
|
|
call psb_sphalo(am3,desc_a,am4,info,&
|
|
& colcnv=.false.,rowscale=.true.)
|
|
if (info == psb_success_) call psb_rwextd(ncol,am3,info,b=am4)
|
|
if (info == psb_success_) call am4%free()
|
|
|
|
if(info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Extend am3')
|
|
goto 9999
|
|
end if
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Done sphalo/ rwxtd'
|
|
|
|
call psb_spspmm(op_restr,am3,ac,info)
|
|
if (info == psb_success_) call am3%free()
|
|
if (info == psb_success_) call ac%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
&a_err='Build ac = op_restr x am3')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Done smooth_aggregate '
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 continue
|
|
call psb_errpush(info,name)
|
|
call psb_error_handler(err_act)
|
|
return
|
|
|
|
|
|
contains
|
|
|
|
subroutine csc_mat_col_prod(a,b,v,info)
|
|
implicit none
|
|
type(psb_lc_csc_sparse_mat), intent(in) :: a, b
|
|
complex(psb_spk_), intent(out) :: v(:)
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
integer(psb_lpk_) :: i,j,k, nr, nc,iap,nra,ibp,nrb
|
|
|
|
info = psb_success_
|
|
nc = a%get_ncols()
|
|
if (nc /= b%get_ncols()) then
|
|
write(0,*) 'Matrices A and B should have same columns'
|
|
info = -1
|
|
return
|
|
end if
|
|
|
|
do j=1, nc
|
|
iap = a%icp(j)
|
|
nra = a%icp(j+1)-iap
|
|
ibp = b%icp(j)
|
|
nrb = b%icp(j+1)-ibp
|
|
v(j) = sparse_srtd_dot(nra,a%ia(iap:iap+nra-1),a%val(iap:iap+nra-1),&
|
|
& nrb,b%ia(ibp:ibp+nrb-1),b%val(ibp:ibp+nrb-1))
|
|
end do
|
|
|
|
end subroutine csc_mat_col_prod
|
|
|
|
|
|
subroutine csr_mat_row_prod(a,b,v,info)
|
|
implicit none
|
|
type(psb_lc_csr_sparse_mat), intent(in) :: a, b
|
|
complex(psb_spk_), intent(out) :: v(:)
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
integer(psb_lpk_) :: i,j,k, nr, nc,iap,nca,ibp,ncb
|
|
|
|
info = psb_success_
|
|
nr = a%get_nrows()
|
|
if (nr /= b%get_nrows()) then
|
|
write(0,*) 'Matrices A and B should have same rows'
|
|
info = -1
|
|
return
|
|
end if
|
|
|
|
do j=1, nr
|
|
iap = a%irp(j)
|
|
nca = a%irp(j+1)-iap
|
|
ibp = b%irp(j)
|
|
ncb = b%irp(j+1)-ibp
|
|
v(j) = sparse_srtd_dot(nca,a%ja(iap:iap+nca-1),a%val(iap:iap+nca-1),&
|
|
& ncb,b%ja(ibp:ibp+ncb-1),b%val(ibp:ibp+ncb-1))
|
|
end do
|
|
|
|
end subroutine csr_mat_row_prod
|
|
|
|
|
|
function sparse_srtd_dot(nv1,iv1,v1,nv2,iv2,v2) result(dot)
|
|
implicit none
|
|
integer(psb_lpk_), intent(in) :: nv1,nv2
|
|
integer(psb_lpk_), intent(in) :: iv1(:), iv2(:)
|
|
complex(psb_spk_), intent(in) :: v1(:),v2(:)
|
|
complex(psb_spk_) :: dot
|
|
|
|
integer(psb_lpk_) :: i,j,k, ip1, ip2
|
|
|
|
dot = czero
|
|
ip1 = 1
|
|
ip2 = 1
|
|
|
|
do
|
|
if (ip1 > nv1) exit
|
|
if (ip2 > nv2) exit
|
|
if (iv1(ip1) == iv2(ip2)) then
|
|
dot = dot + conjg(v1(ip1))*v2(ip2)
|
|
ip1 = ip1 + 1
|
|
ip2 = ip2 + 1
|
|
else if (iv1(ip1) < iv2(ip2)) then
|
|
ip1 = ip1 + 1
|
|
else
|
|
ip2 = ip2 + 1
|
|
end if
|
|
end do
|
|
|
|
end function sparse_srtd_dot
|
|
|
|
subroutine local_dump(me,mat,name,header)
|
|
type(psb_lcspmat_type), intent(in) :: mat
|
|
integer(psb_ipk_), intent(in) :: me
|
|
character(len=*), intent(in) :: name
|
|
character(len=*), intent(in) :: header
|
|
character(len=80) :: filename
|
|
|
|
write(filename,'(a,a,i0,a,i0,a)') trim(name),'.p',me
|
|
open(20+me,file=filename)
|
|
call mat%print(20+me,head=trim(header))
|
|
close(20+me)
|
|
end subroutine local_dump
|
|
|
|
end subroutine mld_caggrmat_minnrg_asb
|