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@ -1,12 +1,12 @@
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!!$
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!!$
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!!$
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!!$
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!!$ MLD2P4 version 1.0
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!!$ MLD2P4 version 1.1
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
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!!$ based on PSBLAS (Parallel Sparse BLAS version 2.3.1)
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!!$
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!!$
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!!$ (C) Copyright 2008
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!!$ (C) Copyright 2008,2009
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!!$
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!!$
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari University of Rome Tor Vergata
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!!$ Alfredo Buttari University of Rome Tor Vergata
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!!$ Pasqua D'Ambra ICAR-CNR, Naples
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!!$ Pasqua D'Ambra ICAR-CNR, Naples
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!!$ Daniela di Serafino Second University of Naples
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!!$ Daniela di Serafino Second University of Naples
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@ -42,7 +42,7 @@
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! Version: complex
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! Version: complex
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!
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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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! This routine builds a coarse-level matrix A_C from a fine-level matrix A
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! by using a Galerkin approach, i.e.
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! by using the Galerkin approach, i.e.
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!
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!
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! A_C = P_C^T A P_C,
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! A_C = P_C^T A P_C,
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!
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!
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@ -59,7 +59,7 @@
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! of A, and omega is a suitable smoothing parameter. An estimate of the spectral
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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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! 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%iprcparm(mld_aggr_omega_alg_), specified by the user
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! according to the value of p%iprcparm(mld_aggr_omega_alg_), specified by the user
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! through mld_dprecinit and mld_dprecset.
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! through mld_cprecinit and mld_cprecset.
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!
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!
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! This routine can also build A_C according to a "bizarre" aggregation algorithm,
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! This routine can also build A_C according to a "bizarre" aggregation algorithm,
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! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
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! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
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@ -68,7 +68,7 @@
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!
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!
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! The coarse-level matrix A_C is distributed among the parallel processes or
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! The coarse-level matrix A_C is distributed among the parallel processes or
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! replicated on each of them, according to the value of p%iprcparm(mld_coarse_mat_),
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! replicated on each of them, according to the value of p%iprcparm(mld_coarse_mat_),
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! specified by the user through mld_dprecinit and mld_dprecset.
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! specified by the user through mld_cprecinit and mld_cprecset.
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!
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!
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! For more details see
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! For more details see
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! M. Brezina and P. Vanek, A black-box iterative solver based on a
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! M. Brezina and P. Vanek, A black-box iterative solver based on a
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@ -84,9 +84,17 @@
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! desc_a - type(psb_desc_type), input.
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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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! The communication descriptor of the fine-level matrix.
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! p - type(mld_conelev_type), input/output.
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! p - type(mld_conelev_type), input/output.
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! The one-level preconditioner data structure containing the local
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! The 'one-level' data structure that will contain the local
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! part of the base preconditioner to be built as well as the
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! part of the matrix to be built as well as the information
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! aggregate matrices.
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! concerning the prolongator and its transpose.
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! ilaggr - integer, dimension(:), allocatable.
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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.
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! nlaggr - integer, dimension(:), allocatable.
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! nlaggr(i) contains the aggregates held by process i.
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! info - integer, output.
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! info - integer, output.
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! Error code.
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! Error code.
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!
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!
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@ -116,10 +124,10 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF
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& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF
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integer ::ictxt,np,me, err_act, icomm
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integer ::ictxt,np,me, err_act, icomm
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character(len=20) :: name
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character(len=20) :: name
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type(psb_cspmat_type) :: am1,am2, AF
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type(psb_cspmat_type) :: am1,am2, af
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type(psb_cspmat_type) :: am3,am4
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type(psb_cspmat_type) :: am3,am4
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complex(psb_spk_), allocatable :: adiag(:)
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complex(psb_spk_), allocatable :: adiag(:)
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logical :: ml_global_nmb
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logical :: ml_global_nmb, filter_mat
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integer :: debug_level, debug_unit
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integer :: debug_level, debug_unit
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integer, parameter :: ncmax=16
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integer, parameter :: ncmax=16
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real(psb_spk_) :: omega, anorm, tmp, dg, theta
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real(psb_spk_) :: omega, anorm, tmp, dg, theta
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@ -168,6 +176,8 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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& ( (p%iprcparm(mld_aggr_kind_) == mld_biz_prol_).and.&
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& ( (p%iprcparm(mld_aggr_kind_) == mld_biz_prol_).and.&
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& (p%iprcparm(mld_coarse_mat_) == mld_repl_mat_)) )
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& (p%iprcparm(mld_coarse_mat_) == mld_repl_mat_)) )
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filter_mat = (p%iprcparm(mld_aggr_filter_) == mld_filter_mat_)
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if (ml_global_nmb) then
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if (ml_global_nmb) then
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ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
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ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
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call psb_halo(ilaggr,desc_a,info)
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call psb_halo(ilaggr,desc_a,info)
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@ -190,11 +200,11 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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goto 9999
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goto 9999
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end if
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end if
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! Get diagonal D
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! Get the diagonal D
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call psb_sp_getdiag(a,adiag,info)
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call psb_sp_getdiag(a,adiag,info)
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if (info == 0) &
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if (info == 0) &
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& call psb_halo(adiag,desc_a,info)
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& call psb_halo(adiag,desc_a,info)
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if(info /= 0) then
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='sp_getdiag')
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call psb_errpush(4010,name,a_err='sp_getdiag')
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goto 9999
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goto 9999
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@ -243,45 +253,44 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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& write(debug_unit,*) me,' ',trim(name),&
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Initial copies done.'
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& ' Initial copies done.'
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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 psb_spcnv(a,af,info,afmt='csr',dupl=psb_dupl_add_)
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!********************************+
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do i=1,nrow
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! building the filtered matrix af from A
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tmp = czero
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!
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jd = -1
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!
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do j=af%ia2(i),af%ia2(i+1)-1
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call psb_spcnv(a,af,info,afmt='csr',dupl=psb_dupl_add_)
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if (af%ia1(j) == i) jd = j
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if (abs(af%aspk(j)) < theta*sqrt(abs(adiag(i)*adiag(af%ia1(j))))) then
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do i=1,nrow
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tmp=tmp+af%aspk(j)
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tmp = czero
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af%aspk(j)=czero
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jd = -1
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endif
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do j=af%ia2(i),af%ia2(i+1)-1
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if (af%ia1(j) == i) jd = j
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if (abs(af%aspk(j)) < theta*sqrt(abs(adiag(i)*adiag(af%ia1(j))))) then
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tmp=tmp+af%aspk(j)
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af%aspk(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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af%aspk(jd)=af%aspk(jd)-tmp
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end if
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enddo
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enddo
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if (jd == -1) then
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! Take out zeroed terms
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write(0,*) 'Wrong input: we need the diagonal!!!!'
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call psb_spcnv(af,info,afmt='coo')
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else
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k = 0
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af%aspk(jd)=af%aspk(jd)-tmp
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do j=1,psb_sp_get_nnzeros(af)
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end if
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if ((af%aspk(j) /= czero) .or. (af%ia1(j)==af%ia2(j))) then
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enddo
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k = k + 1
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! Ora eliminiamo i termini che sono stato azzerati
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af%aspk(k) = af%aspk(j)
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call psb_spcnv(af,info,afmt='coo')
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af%ia1(k) = af%ia1(j)
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k = 0
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af%ia2(k) = af%ia2(j)
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do j=1,psb_sp_get_nnzeros(af)
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end if
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if ((af%aspk(j) /= czero) .or. (af%ia1(j)==af%ia2(j))) then
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end do
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k = k + 1
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af%aspk(k) = af%aspk(j)
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af%ia1(k) = af%ia1(j)
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af%ia2(k) = af%ia2(j)
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end if
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end do
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!!$ write(debug_unit,*) me,' ',trim(name),' Non zeros from filtered matrix:',k,af%m,af%k
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!!$ write(debug_unit,*) me,' ',trim(name),' Non zeros from filtered matrix:',k,af%m,af%k
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call psb_sp_setifld(k,psb_nnz_,af,info)
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call psb_sp_setifld(k,psb_nnz_,af,info)
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call psb_spcnv(af,info,afmt='csr')
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call psb_spcnv(af,info,afmt='csr')
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end if
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do i=1,size(adiag)
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do i=1,size(adiag)
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@ -291,10 +300,13 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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adiag(i) = cone
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adiag(i) = cone
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end if
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end if
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end do
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end do
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call psb_sp_scal(af,adiag,info)
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if (filter_mat) call psb_sp_scal(af,adiag,info)
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call psb_sp_scal(am3,adiag,info)
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call psb_sp_scal(am3,adiag,info)
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if (info /= 0) goto 9999
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if (info /= 0) goto 9999
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!*******************************************
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if (p%iprcparm(mld_aggr_omega_alg_) == mld_eig_est_) then
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if (p%iprcparm(mld_aggr_omega_alg_) == mld_eig_est_) then
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if (p%iprcparm(mld_aggr_eig_) == mld_max_norm_) then
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if (p%iprcparm(mld_aggr_eig_) == mld_max_norm_) then
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@ -302,7 +314,7 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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if (p%iprcparm(mld_aggr_kind_) == mld_biz_prol_) then
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if (p%iprcparm(mld_aggr_kind_) == mld_biz_prol_) then
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!
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!
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! This only works with CSR.
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|
! This only works with CSR
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!
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!
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if (psb_toupper(am3%fida)=='CSR') then
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if (psb_toupper(am3%fida)=='CSR') then
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anorm = szero
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anorm = szero
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@ -352,43 +364,88 @@ subroutine mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
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goto 9999
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goto 9999
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end if
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end if
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! %
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if (filter_mat) then
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if (psb_toupper(af%fida)=='CSR') then
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!
|
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do i=1,af%m
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|
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! Build the smoothed prolongator using the filtered matrix
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do j=af%ia2(i),af%ia2(i+1)-1
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!
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if (af%ia1(j) == i) then
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if (psb_toupper(af%fida)=='CSR') then
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af%aspk(j) = cone - omega*af%aspk(j)
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do i=1,af%m
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else
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|
do j=af%ia2(i),af%ia2(i+1)-1
|
|
|
|
af%aspk(j) = - omega*af%aspk(j)
|
|
|
|
if (af%ia1(j) == i) then
|
|
|
|
end if
|
|
|
|
af%aspk(j) = cone - omega*af%aspk(j)
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
af%aspk(j) = - omega*af%aspk(j)
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
end do
|
|
|
|
end do
|
|
|
|
end do
|
|
|
|
end do
|
|
|
|
else
|
|
|
|
else
|
|
|
|
call psb_errpush(4001,name,a_err='Invalid AF storage format')
|
|
|
|
call psb_errpush(4001,name,a_err='Invalid AF storage format')
|
|
|
|
goto 9999
|
|
|
|
goto 9999
|
|
|
|
end if
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
& 'Done gather, going for SYMBMM 1'
|
|
|
|
& 'Done gather, going for SYMBMM 1'
|
|
|
|
!
|
|
|
|
!
|
|
|
|
! Symbmm90 does the allocation for its result.
|
|
|
|
! Symbmm90 does the allocation for its result.
|
|
|
|
!
|
|
|
|
!
|
|
|
|
! am1 = (i-wDA)Ptilde
|
|
|
|
! am1 = (I-w*D*Af)Ptilde
|
|
|
|
! Doing it this way means to consider diag(Ai)
|
|
|
|
! Doing it this way means to consider diag(Af_i)
|
|
|
|
!
|
|
|
|
!
|
|
|
|
!
|
|
|
|
!
|
|
|
|
call psb_symbmm(af,am4,am1,info)
|
|
|
|
call psb_symbmm(af,am4,am1,info)
|
|
|
|
if(info /= 0) then
|
|
|
|
if(info /= 0) then
|
|
|
|
call psb_errpush(4010,name,a_err='symbmm 1')
|
|
|
|
call psb_errpush(4010,name,a_err='symbmm 1')
|
|
|
|
goto 9999
|
|
|
|
goto 9999
|
|
|
|
end if
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
call psb_numbmm(af,am4,am1)
|
|
|
|
call psb_numbmm(af,am4,am1)
|
|
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
& 'Done NUMBMM 1'
|
|
|
|
& 'Done NUMBMM 1'
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
!
|
|
|
|
|
|
|
|
! Build the smoothed prolongator using the original matrix
|
|
|
|
|
|
|
|
!
|
|
|
|
|
|
|
|
if (psb_toupper(am3%fida)=='CSR') then
|
|
|
|
|
|
|
|
do i=1,am3%m
|
|
|
|
|
|
|
|
do j=am3%ia2(i),am3%ia2(i+1)-1
|
|
|
|
|
|
|
|
if (am3%ia1(j) == i) then
|
|
|
|
|
|
|
|
am3%aspk(j) = cone - omega*am3%aspk(j)
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
am3%aspk(j) = - omega*am3%aspk(j)
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
end do
|
|
|
|
|
|
|
|
end do
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
call psb_errpush(4001,name,a_err='Invalid AM3 storage format')
|
|
|
|
|
|
|
|
goto 9999
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
|
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
|
|
|
& 'Done gather, going for SYMBMM 1'
|
|
|
|
|
|
|
|
!
|
|
|
|
|
|
|
|
! Symbmm90 does the allocation for its result.
|
|
|
|
|
|
|
|
!
|
|
|
|
|
|
|
|
! am1 = (I-w*D*A)Ptilde
|
|
|
|
|
|
|
|
! Doing it this way means to consider diag(A_i)
|
|
|
|
|
|
|
|
!
|
|
|
|
|
|
|
|
!
|
|
|
|
|
|
|
|
call psb_symbmm(am3,am4,am1,info)
|
|
|
|
|
|
|
|
if(info /= 0) then
|
|
|
|
|
|
|
|
call psb_errpush(4010,name,a_err='symbmm 1')
|
|
|
|
|
|
|
|
goto 9999
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
call psb_numbmm(am3,am4,am1)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
|
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
|
|
|
& 'Done NUMBMM 1'
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
call psb_sp_free(am4,info)
|
|
|
|
call psb_sp_free(am4,info)
|
|
|
|
if(info /= 0) then
|
|
|
|
if(info /= 0) then
|
|
|
|
|
Salvatore Filippone
16 years ago
