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csall changed in allocate with CSR format

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implement-ainv
Cirdans-Home 4 years ago
parent c52d42a50d
commit f6c145f982
12 changed files with 1264 additions and 1264 deletions
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154
prec/impl/psb_c_ilu0_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_cilu0_fact.f90
!
! Subroutine: psb_cilu0_fact
@ -75,7 +75,7 @@
!
! This routine computes either the ILU(0) or the MILU(0) factorization of
! the diagonal blocks of a distributed matrix. These factorizations are used
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a given level of a
! multilevel preconditioner.
!
@ -83,10 +83,10 @@
! Y. Saad, Iterative Methods for Sparse Linear Systems, Second Edition,
! SIAM, 2003, Chapter 10.
!
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! to the ILU(0)/MILU(0) factorization).
!
! The routine copies and factors "on the fly" from a and blck into l (L factor),
@ -94,7 +94,7 @@
!
! This implementation of ILU(0)/MILU(0) is faster than the implementation in
! psb_ziluk_fct (the latter routine performs the more general ILU(k)/MILU(k)).
!
!
!
! Arguments:
! ialg - integer, input.
@ -121,7 +121,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_cspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -129,7 +129,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck is empty.
!
!
subroutine psb_cilu0_fact(ialg,a,l,u,d,info,blck, upd)
use psb_base_mod
@ -157,30 +157,30 @@ subroutine psb_cilu0_fact(ialg,a,l,u,d,info,blck, upd)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(upd)) then
upd_ = psb_toupper(upd)
if (present(upd)) then
upd_ = psb_toupper(upd)
else
upd_ = 'F'
end if
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -212,12 +212,12 @@ subroutine psb_cilu0_fact(ialg,a,l,u,d,info,blck, upd)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
if(info.ne.0) then
@ -226,7 +226,7 @@ subroutine psb_cilu0_fact(ialg,a,l,u,d,info,blck, upd)
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(blck_)
deallocate(blck_)
endif
call psb_erractionrestore(err_act)
@ -243,9 +243,9 @@ contains
! Version: complex
! Note: internal subroutine of psb_cilu0_fact.
!
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! (block-Jacobi preconditioner/solver, Additive Schwarz
! preconditioner) corresponding to a given level of a multilevel preconditioner.
!
@ -257,7 +257,7 @@ contains
!
! The routine copies and factors "on the fly" from the sparse matrix structures a
! and b into the arrays lval, uval, d (L, U without its diagonal, diagonal of U).
!
!
!
! Arguments:
! ialg - integer, input.
@ -296,7 +296,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - complex(psb_spk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -305,18 +305,18 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output.
! The number of nonzero entries in lval.
! l2 - integer, output.
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_cilu0_factint(ialg,a,b,&
& d,lval,lja,lirp,uval,uja,uirp,l1,l2,upd,info)
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: ialg
@ -332,7 +332,7 @@ contains
complex(psb_spk_) :: dia,temp
integer(psb_ipk_), parameter :: nrb=16
type(psb_c_coo_sparse_mat) :: trw
integer(psb_ipk_) :: int_err(5)
integer(psb_ipk_) :: int_err(5)
character(len=20) :: name, ch_err
name='psb_cilu0_factint'
@ -346,10 +346,10 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione,ialg,izero,izero,izero/))
goto 9999
end select
@ -363,7 +363,7 @@ contains
end if
m = ma+mb
if (psb_toupper(upd) == 'F' ) then
if (psb_toupper(upd) == 'F' ) then
lirp(1) = 1
uirp(1) = 1
l1 = 0
@ -379,14 +379,14 @@ contains
if (i <= ma) then
!
! Copy the i-th local row of the matrix, stored in a,
! into lval/d(i)/uval
! into lval/d(i)/uval
!
call ilu_copyin(i,ma,a,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
else
!
! Copy the i-th local row of the matrix, stored in b
! (as (i-ma)-th row), into lval/d(i)/uval
! (as (i-ma)-th row), into lval/d(i)/uval
!
call ilu_copyin(i-ma,mb,b,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
@ -437,7 +437,7 @@ contains
!
dia = dia - temp*uval(jj)
cycle updateloop
!
!
else if (j > i) then
!
! search u(i,*) (i-th row of U) for a matching index j
@ -454,23 +454,23 @@ contains
end if
enddo
end if
!
! If we get here we missed the cycle updateloop, which means
!
! If we get here we missed the cycle updateloop, which means
! that this entry does not match; thus we accumulate on the
! diagonal for MILU(0).
!
if (ialg == psb_milu_n_) then
if (ialg == psb_milu_n_) then
dia = dia - temp*uval(jj)
end if
enddo updateloop
enddo
!
!
! Check the pivot size
!
!
if (abs(dia) < s_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') abs(dia)
@ -493,7 +493,7 @@ contains
else
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999
@ -515,7 +515,7 @@ contains
! Version: complex
! Note: internal subroutine of psb_cilu0_fact
!
! This routine copies a row of a sparse matrix A, stored in the psb_cspmat_type
! This routine copies a row of a sparse matrix A, stored in the psb_cspmat_type
! data structure a, into the arrays lval and uval and into the scalar variable
! dia, corresponding to the lower and upper triangles of A and to the diagonal
! entry of the row, respectively. The entries in lval and uval are stored
@ -529,14 +529,14 @@ contains
!
! The routine is used by psb_cilu0_factint in the computation of the ILU(0)/MILU(0)
! factorization of a local sparse matrix.
!
!
! TODO: modify the routine to allow copying into output L and U that are
! already filled with indices; this would allow computing an ILU(k) pattern,
! then use the ILU(0) internal for subsequent calls with the same pattern.
! then use the ILU(0) internal for subsequent calls with the same pattern.
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -570,13 +570,13 @@ contains
! to the CSR storage format.
! uval - complex(psb_spk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! upper triangle are copied.
! upper triangle are copied.
! ktrw - integer, input/output.
! The index identifying the last entry taken from the
! staging buffer trw. See below.
! trw - type(psb_cspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -608,10 +608,10 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
if (psb_toupper(upd) == 'F') then
if (psb_toupper(upd) == 'F') then
select type(aa => a%a)
type is (psb_c_csr_sparse_mat)
select type(aa => a%a)
type is (psb_c_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
@ -633,19 +633,19 @@ contains
end if
enddo
class default
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into lval, dia, uval, through
! successive calls to ilu_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
call aa%csget(i,i+irb-1,trw,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csget'
@ -656,7 +656,7 @@ contains
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
@ -680,7 +680,7 @@ contains
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999

214
prec/impl/psb_c_iluk_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_ciluk_fact.f90
!
! Subroutine: psb_ciluk_fact
@ -74,7 +74,7 @@
! Contains: psb_ciluk_factint, iluk_copyin, iluk_fact, iluk_copyout.
!
! This routine computes either the ILU(k) or the MILU(k) factorization of the
! diagonal blocks of a distributed matrix. These factorizations are used to
! diagonal blocks of a distributed matrix. These factorizations are used to
! build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a certain level of a
! multilevel preconditioner.
@ -88,7 +88,7 @@
! U factors is CSR. The diagonal of the U factor is stored separately (actually,
! the inverse of the diagonal entries is stored; this is then managed in the solve
! stage associated to the ILU(k)/MILU(k) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -118,7 +118,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_cspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -126,7 +126,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_ciluk_fact(fill_in,ialg,a,l,u,d,info,blck)
use psb_base_mod
@ -143,7 +143,7 @@ subroutine psb_ciluk_fact(fill_in,ialg,a,l,u,d,info,blck)
complex(psb_spk_), intent(inout) :: d(:)
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act
type(psb_cspmat_type), pointer :: blck_
type(psb_c_csr_sparse_mat) :: ll, uu
character(len=20) :: name, ch_err
@ -152,17 +152,17 @@ subroutine psb_ciluk_fact(fill_in,ialg,a,l,u,d,info,blck)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
@ -170,7 +170,7 @@ subroutine psb_ciluk_fact(fill_in,ialg,a,l,u,d,info,blck)
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -203,15 +203,15 @@ subroutine psb_ciluk_fact(fill_in,ialg,a,l,u,d,info,blck)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -280,7 +280,7 @@ contains
! according to the CSR storage format.
! lia2 - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in laspk, according to the CSR storage format.
! of the L factor in laspk, according to the CSR storage format.
! uval - complex(psb_spk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -289,12 +289,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in laspk.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_ciluk_factint(fill_in,ialg,a,b,&
@ -304,7 +304,7 @@ contains
implicit none
! Arguments
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg
type(psb_cspmat_type),intent(in) :: a,b
integer(psb_ipk_),intent(inout) :: l1,l2,info
@ -330,14 +330,14 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
& i_err=(/itwo,ialg,izero,izero,izero/))
goto 9999
end select
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
@ -349,7 +349,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the iluk_copyin function
! Allocate a temporary buffer for the iluk_copyin function
!
call trw%allocate(izero,izero,ione)
@ -361,7 +361,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -381,34 +381,34 @@ contains
uplevs(:) = m+1
row(:) = czero
rowlevs(:) = -(m+1)
!
! Cycle over the matrix rows
!
do i = 1, m
!
! At each iteration of the loop we keep in a heap the column indices
! affected by the factorization. The heap is initialized and filled
! in the iluk_copyin routine, and updated during the elimination, in
! the iluk_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = czero
if (i<=ma) then
!
! Copy into trw the i-th local row of the matrix, stored in a
!
! Copy into trw the i-th local row of the matrix, stored in a
!
call iluk_copyin(i,ma,a,ione,m,row,rowlevs,heap,ktrw,trw,info)
else
!
! Copy into trw the i-th local row of the matrix, stored in b
! (as (i-ma)-th row)
!
! (as (i-ma)-th row)
!
call iluk_copyin(i-ma,mb,b,ione,m,row,rowlevs,heap,ktrw,trw,info)
endif
! Do an elimination step on the current row. It turns out we only
! need to keep track of fill levels for the upper triangle, hence we
! do not have a lowlevs variable.
@ -417,7 +417,7 @@ contains
& d,uja,uirp,uval,uplevs,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call iluk_copyout(fill_in,ialg,i,m,row,rowlevs,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,uplevs,info)
if (info /= psb_success_) then
@ -474,11 +474,11 @@ contains
!
! This routine is used by psb_ciluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -510,7 +510,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_cspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -521,8 +521,8 @@ contains
use psb_base_mod
implicit none
! Arguments
! Arguments
type(psb_cspmat_type), intent(in) :: a
type(psb_c_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i,m,jmin,jmax
@ -542,17 +542,17 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
call heap%init(info)
call heap%init(info)
select type (aa=> a%a)
type is (psb_c_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_c_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)
rowlevs(k) = 0
call heap%insert(k,info)
@ -562,14 +562,14 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to iluk_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -581,11 +581,11 @@ contains
ktrw=1
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)
rowlevs(k) = 0
call heap%insert(k,info)
@ -674,10 +674,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i, fill_in
integer(psb_ipk_), intent(inout) :: nidx,info
integer(psb_ipk_), intent(inout) :: rowlevs(:)
@ -690,7 +690,7 @@ contains
complex(psb_spk_) :: rwk
info = psb_success_
if (.not.allocated(idxs)) then
if (.not.allocated(idxs)) then
allocate(idxs(200),stat=info)
if (info /= psb_success_) return
endif
@ -702,34 +702,34 @@ contains
!
do
! Beware: (iret < 0) means that the heap is empty, not an error.
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) return
!
!
! Just in case an index has been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
nidx = nidx + 1
if (nidx>size(idxs)) then
if (nidx>size(idxs)) then
call psb_realloc(nidx+psb_heap_resize,idxs,info)
if (info /= psb_success_) return
end if
idxs(nidx) = k
if ((row(k) /= czero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
if ((row(k) /= czero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
!
! Note: since U is scaled while copying it out (see iluk_copyout),
! we can use rwk in the update below
!
!
rwk = row(k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
lrwk = rowlevs(k)
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
if (j<=k) then
info = -i
return
endif
@ -738,9 +738,9 @@ contains
! The fill levels are initialized to a negative value. If we find
! one, it means that it is an as yet untouched index, so we need
! to insert it; otherwise it is already on the heap, there is no
! need to insert it more than once.
! need to insert it more than once.
!
if (rowlevs(j)<0) then
if (rowlevs(j)<0) then
call heap%insert(j,info)
if (info /= psb_success_) return
rowlevs(j) = abs(rowlevs(j))
@ -781,7 +781,7 @@ contains
!
! This routine is used by psb_ciluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -822,14 +822,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_ciluk_factint), according to the CSR storage format.
! lval - complex(psb_spk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - complex(psb_spk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_ciluk_factint), according
@ -850,7 +850,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg, i, m, nidx
@ -880,17 +880,17 @@ contains
if (j<i) then
!
! Copy the lower part of the row
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -914,26 +914,26 @@ contains
!
! Copy the diagonal entry of the row and re-initialize
! row(j) and rowlevs(j)
!
d(i) = d(i) + row(i)
!
d(i) = d(i) + row(i)
row(i) = czero
rowlevs(i) = -(m+1)
else if (j>i) then
else if (j>i) then
!
! Copy the upper part of the row
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
! Figure out a good reallocation size!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info == psb_success_) call psb_realloc(isz,uplevs,info,pad=(m+1))
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -941,11 +941,11 @@ contains
end if
uja(l2) = j
uval(l2) = row(j)
uplevs(l2) = rowlevs(j)
uplevs(l2) = rowlevs(j)
else if (ialg == psb_milu_n_) then
!
! MILU(k): add discarded entries to the diagonal one
!
!
d(i) = d(i) + row(j)
end if
!
@ -963,13 +963,13 @@ contains
lirp(i+1) = l1 + 1
uirp(i+1) = l2 + 1
!
!
! Check the pivot size
!
if (abs(d(i)) < s_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)

264
prec/impl/psb_c_ilut_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_cilut_fact.f90
!
! Subroutine: psb_cilut_fact
@ -87,7 +87,7 @@
! CSR. The diagonal of the U factor is stored separately (actually, the
! inverse of the diagonal entries is stored; this is then managed in the
! solve stage associated to the ILU(k,t) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -114,7 +114,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_cspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -122,9 +122,9 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_cilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
use psb_base_mod
use psb_c_ilu_fact_mod, psb_protect_name => psb_cilut_fact
@ -141,7 +141,7 @@ subroutine psb_cilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
integer(psb_ipk_), intent(in), optional :: iscale
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act, iscale_
type(psb_cspmat_type), pointer :: blck_
type(psb_c_csr_sparse_mat) :: ll, uu
real(psb_spk_) :: scale
@ -151,34 +151,34 @@ subroutine psb_cilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
info = psb_success_
call psb_erractionsave(err_act)
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
goto 9999
end if
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(iscale)) then
if (present(iscale)) then
iscale_ = iscale
else
iscale_ = psb_ilu_scale_none_
end if
select case(iscale_)
select case(iscale_)
case(psb_ilu_scale_none_)
scale = sone
case(psb_ilu_scale_maxval_)
@ -189,10 +189,10 @@ subroutine psb_cilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call psb_errpush(info,name,i_err=(/ione*9,iscale_,izero,izero,izero/))
goto 9999
end select
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -225,15 +225,15 @@ subroutine psb_cilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -298,7 +298,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - complex(psb_spk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -307,12 +307,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in lval.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_cilut_factint(fill_in,thres,a,b,&
@ -320,7 +320,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in
@ -355,7 +355,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the ilut_copyin function
! Allocate a temporary buffer for the ilut_copyin function
!
call trw%allocate(izero,izero,ione)
if (info == psb_success_) call psb_ensure_size(m+1,lirp,info)
@ -366,7 +366,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -396,10 +396,10 @@ contains
! in the ilut_copyin function, and updated during the elimination, in
! the ilut_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = czero
if (i<=ma) then
if (i<=ma) then
call ilut_copyin(i,ma,a,i,ione,m,nlw,nup,jmaxup,nrmi,weight,&
& row,heap,ktrw,trw,info)
else
@ -414,7 +414,7 @@ contains
& d,uja,uirp,uval,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call ilut_copyout(fill_in,thres,i,m,&
& nlw,nup,jmaxup,nrmi,row,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,info)
@ -429,7 +429,7 @@ contains
!
! Adjust diagonal accounting for scale factor
!
if (weight /= sone) then
if (weight /= sone) then
d(1:m) = d(1:m)*weight
end if
@ -469,7 +469,7 @@ contains
! - storing into a heap the column indices of the nonzero entries of the copied
! row;
! - computing the column index of the first entry with maximum absolute value
! in the part of the row belonging to the upper triangle;
! in the part of the row belonging to the upper triangle;
! - computing the 2-norm of the row.
! The output array row is such that it contains a full row of A, i.e. it contains
! also the zero entries of the row. This is useful for the elimination step
@ -482,11 +482,11 @@ contains
!
! This routine is used by psb_cilut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -533,7 +533,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_cspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -542,7 +542,7 @@ contains
subroutine ilut_copyin(i,m,a,jd,jmin,jmax,nlw,nup,jmaxup,&
& nrmi,weight,row,heap,ktrw,trw,info)
use psb_base_mod
implicit none
implicit none
type(psb_cspmat_type), intent(in) :: a
type(psb_c_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i, m,jmin,jmax,jd
@ -584,29 +584,29 @@ contains
dmaxup = szero
nrmi = szero
select type (aa=> a%a)
type is (psb_c_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_c_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
end if
end if
end do
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
@ -617,16 +617,16 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to ilut_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -639,18 +639,18 @@ contains
kin = ktrw
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
@ -734,10 +734,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i
integer(psb_ipk_), intent(inout) :: nidx,info
real(psb_spk_), intent(in) :: thres,nrmi
@ -753,23 +753,23 @@ contains
call psb_ensure_size(200*ione,idxs,info)
if (info /= psb_success_) return
nidx = 0
lastk = -1
lastk = -1
!
! Do while there are indices to be processed
!
do
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) exit
!
!
! An index may have been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
lowert: if (k<i) then
!
! Dropping rule based on the threshold: compare the absolute
! value of each updated entry of row with thres * 2-norm of row.
@ -777,7 +777,7 @@ contains
rwk = row(k)
row(k) = row(k) * d(k)
if (abs(row(k)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(k) = czero
@ -786,11 +786,11 @@ contains
!
! Note: since U is scaled while copying it out (see ilut_copyout),
! we can use rwk in the update below.
!
!
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
info = -i
if (j<=k) then
info = -i
return
endif
!
@ -799,7 +799,7 @@ contains
!
row(j) = row(j) - rwk * uval(jj)
if (abs(row(j)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(j) = czero
@ -818,7 +818,7 @@ contains
! If we get here it is an index we need to keep on copyout.
!
nidx = nidx + 1
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
if (info /= psb_success_) return
idxs(nidx) = k
@ -852,7 +852,7 @@ contains
!
! This routine is used by psb_cilut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -895,14 +895,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_cilut_factint), according to the CSR storage format.
! lval - complex(psb_spk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - complex(psb_spk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_cilut_factint), according
@ -921,7 +921,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in,i,m,nidx,nlw,nup,jmaxup
@ -950,22 +950,22 @@ contains
end if
!
! Here we need to apply also the dropping rule base on the fill-in.
! Here we need to apply also the dropping rule base on the fill-in.
! We do it by putting into a heap the elements that are not dropped
! by using the 2-norm rule, and then copying them out.
! by using the 2-norm rule, and then copying them out.
!
! The heap goes down on the entry absolute value, so the first item
! is the largest absolute value.
! is the largest absolute value.
!
call heap%init(info,dir=psb_asort_down_)
if (info == psb_success_) allocate(xwid(nidx),xw(nidx),indx(nidx),stat=info)
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/3*nidx,izero,izero,izero,izero/),&
& a_err='complex(psb_spk_)')
goto 9999
goto 9999
end if
!
@ -976,7 +976,7 @@ contains
idxp = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
@ -987,8 +987,8 @@ contains
!
if (abs(witem) < thres*nrmi) cycle
nz = nz + 1
xw(nz) = witem
nz = nz + 1
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1000,9 +1000,9 @@ contains
!
! Now we have to take out the first nlw+fill_in entries
!
!
if (nz <= nlw+fill_in) then
!
!
! Just copy everything from xw, and it is already ordered
!
else
@ -1014,7 +1014,7 @@ contains
call psb_errpush(info,name,a_err='psb_heap_get_first')
goto 9999
end if
xw(k) = witem
xwid(k) = widx
end do
@ -1029,15 +1029,15 @@ contains
! Copy out the lower part of the row
!
do k=1,nz
l1 = l1 + 1
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -1046,25 +1046,25 @@ contains
lja(l1) = xwid(k)
lval(l1) = xw(indx(k))
end do
!
! Make sure idxp points to the diagonal entry
!
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
end do
end if
end if
if (idxp > size(idxs)) then
if (idxp > size(idxs)) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else
if (idxs(idxp) > i) then
if (idxs(idxp) > i) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else if (idxs(idxp) /= i) then
else if (idxs(idxp) /= i) then
!!$ write(0,*) 'Warning: impossible error: diagonal has vanished'
else
!
@ -1076,7 +1076,7 @@ contains
if (abs(d(i)) < s_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)
@ -1092,7 +1092,7 @@ contains
end if
!
! Now the upper part
! Now the upper part
!
call heap%init(info,dir=psb_asort_down_)
@ -1104,15 +1104,15 @@ contains
nz = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
widx = idxs(idxp)
if (widx <= i) then
if (widx <= i) then
!!$ write(0,*) 'Warning: lower triangle in upper copy',widx,i,idxp,idxs(idxp)
cycle
end if
if (widx > m) then
if (widx > m) then
!!$ write(0,*) 'Warning: impossible value',widx,i,idxp,idxs(idxp)
cycle
end if
@ -1120,12 +1120,12 @@ contains
!
! Dropping rule based on the 2-norm. But keep the jmaxup-th entry anyway.
!
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
end if
nz = nz + 1
xw(nz) = witem
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1133,7 +1133,7 @@ contains
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
end if
end do
!
@ -1141,7 +1141,7 @@ contains
! we include entry jmaxup.
!
if (nz <= nup+fill_in) then
!
!
! Just copy everything from xw
!
fndmaxup=.true.
@ -1155,13 +1155,13 @@ contains
if (widx == jmaxup) fndmaxup=.true.
end do
end if
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
! Include entry jmaxup, if it is not already there.
! Put it in the place of the smallest coefficient.
! Put it in the place of the smallest coefficient.
!
xw(nz) = row(jmaxup)
xw(nz) = row(jmaxup)
xwid(nz) = jmaxup
endif
end if
@ -1175,15 +1175,15 @@ contains
! Copy out the upper part of the row
!
do k=1,nz
l2 = l2 + 1
l2 = l2 + 1
if (size(uval) < l2) then
!
!
! Figure out a good reallocation size!
!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999

154
prec/impl/psb_d_ilu0_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_dilu0_fact.f90
!
! Subroutine: psb_dilu0_fact
@ -75,7 +75,7 @@
!
! This routine computes either the ILU(0) or the MILU(0) factorization of
! the diagonal blocks of a distributed matrix. These factorizations are used
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a given level of a
! multilevel preconditioner.
!
@ -83,10 +83,10 @@
! Y. Saad, Iterative Methods for Sparse Linear Systems, Second Edition,
! SIAM, 2003, Chapter 10.
!
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! to the ILU(0)/MILU(0) factorization).
!
! The routine copies and factors "on the fly" from a and blck into l (L factor),
@ -94,7 +94,7 @@
!
! This implementation of ILU(0)/MILU(0) is faster than the implementation in
! psb_ziluk_fct (the latter routine performs the more general ILU(k)/MILU(k)).
!
!
!
! Arguments:
! ialg - integer, input.
@ -121,7 +121,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_dspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -129,7 +129,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck is empty.
!
!
subroutine psb_dilu0_fact(ialg,a,l,u,d,info,blck, upd)
use psb_base_mod
@ -157,30 +157,30 @@ subroutine psb_dilu0_fact(ialg,a,l,u,d,info,blck, upd)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(upd)) then
upd_ = psb_toupper(upd)
if (present(upd)) then
upd_ = psb_toupper(upd)
else
upd_ = 'F'
end if
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -212,12 +212,12 @@ subroutine psb_dilu0_fact(ialg,a,l,u,d,info,blck, upd)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
if(info.ne.0) then
@ -226,7 +226,7 @@ subroutine psb_dilu0_fact(ialg,a,l,u,d,info,blck, upd)
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(blck_)
deallocate(blck_)
endif
call psb_erractionrestore(err_act)
@ -243,9 +243,9 @@ contains
! Version: real
! Note: internal subroutine of psb_dilu0_fact.
!
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! (block-Jacobi preconditioner/solver, Additive Schwarz
! preconditioner) corresponding to a given level of a multilevel preconditioner.
!
@ -257,7 +257,7 @@ contains
!
! The routine copies and factors "on the fly" from the sparse matrix structures a
! and b into the arrays lval, uval, d (L, U without its diagonal, diagonal of U).
!
!
!
! Arguments:
! ialg - integer, input.
@ -296,7 +296,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - real(psb_dpk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -305,18 +305,18 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output.
! The number of nonzero entries in lval.
! l2 - integer, output.
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_dilu0_factint(ialg,a,b,&
& d,lval,lja,lirp,uval,uja,uirp,l1,l2,upd,info)
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: ialg
@ -332,7 +332,7 @@ contains
real(psb_dpk_) :: dia,temp
integer(psb_ipk_), parameter :: nrb=16
type(psb_d_coo_sparse_mat) :: trw
integer(psb_ipk_) :: int_err(5)
integer(psb_ipk_) :: int_err(5)
character(len=20) :: name, ch_err
name='psb_dilu0_factint'
@ -346,10 +346,10 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione,ialg,izero,izero,izero/))
goto 9999
end select
@ -363,7 +363,7 @@ contains
end if
m = ma+mb
if (psb_toupper(upd) == 'F' ) then
if (psb_toupper(upd) == 'F' ) then
lirp(1) = 1
uirp(1) = 1
l1 = 0
@ -379,14 +379,14 @@ contains
if (i <= ma) then
!
! Copy the i-th local row of the matrix, stored in a,
! into lval/d(i)/uval
! into lval/d(i)/uval
!
call ilu_copyin(i,ma,a,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
else
!
! Copy the i-th local row of the matrix, stored in b
! (as (i-ma)-th row), into lval/d(i)/uval
! (as (i-ma)-th row), into lval/d(i)/uval
!
call ilu_copyin(i-ma,mb,b,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
@ -437,7 +437,7 @@ contains
!
dia = dia - temp*uval(jj)
cycle updateloop
!
!
else if (j > i) then
!
! search u(i,*) (i-th row of U) for a matching index j
@ -454,23 +454,23 @@ contains
end if
enddo
end if
!
! If we get here we missed the cycle updateloop, which means
!
! If we get here we missed the cycle updateloop, which means
! that this entry does not match; thus we accumulate on the
! diagonal for MILU(0).
!
if (ialg == psb_milu_n_) then
if (ialg == psb_milu_n_) then
dia = dia - temp*uval(jj)
end if
enddo updateloop
enddo
!
!
! Check the pivot size
!
!
if (abs(dia) < d_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') abs(dia)
@ -493,7 +493,7 @@ contains
else
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999
@ -515,7 +515,7 @@ contains
! Version: real
! Note: internal subroutine of psb_dilu0_fact
!
! This routine copies a row of a sparse matrix A, stored in the psb_dspmat_type
! This routine copies a row of a sparse matrix A, stored in the psb_dspmat_type
! data structure a, into the arrays lval and uval and into the scalar variable
! dia, corresponding to the lower and upper triangles of A and to the diagonal
! entry of the row, respectively. The entries in lval and uval are stored
@ -529,14 +529,14 @@ contains
!
! The routine is used by psb_dilu0_factint in the computation of the ILU(0)/MILU(0)
! factorization of a local sparse matrix.
!
!
! TODO: modify the routine to allow copying into output L and U that are
! already filled with indices; this would allow computing an ILU(k) pattern,
! then use the ILU(0) internal for subsequent calls with the same pattern.
! then use the ILU(0) internal for subsequent calls with the same pattern.
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -570,13 +570,13 @@ contains
! to the CSR storage format.
! uval - real(psb_dpk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! upper triangle are copied.
! upper triangle are copied.
! ktrw - integer, input/output.
! The index identifying the last entry taken from the
! staging buffer trw. See below.
! trw - type(psb_dspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -608,10 +608,10 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
if (psb_toupper(upd) == 'F') then
if (psb_toupper(upd) == 'F') then
select type(aa => a%a)
type is (psb_d_csr_sparse_mat)
select type(aa => a%a)
type is (psb_d_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
@ -633,19 +633,19 @@ contains
end if
enddo
class default
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into lval, dia, uval, through
! successive calls to ilu_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
call aa%csget(i,i+irb-1,trw,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csget'
@ -656,7 +656,7 @@ contains
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
@ -680,7 +680,7 @@ contains
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999

214
prec/impl/psb_d_iluk_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_diluk_fact.f90
!
! Subroutine: psb_diluk_fact
@ -74,7 +74,7 @@
! Contains: psb_diluk_factint, iluk_copyin, iluk_fact, iluk_copyout.
!
! This routine computes either the ILU(k) or the MILU(k) factorization of the
! diagonal blocks of a distributed matrix. These factorizations are used to
! diagonal blocks of a distributed matrix. These factorizations are used to
! build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a certain level of a
! multilevel preconditioner.
@ -88,7 +88,7 @@
! U factors is CSR. The diagonal of the U factor is stored separately (actually,
! the inverse of the diagonal entries is stored; this is then managed in the solve
! stage associated to the ILU(k)/MILU(k) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -118,7 +118,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_dspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -126,7 +126,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_diluk_fact(fill_in,ialg,a,l,u,d,info,blck)
use psb_base_mod
@ -143,7 +143,7 @@ subroutine psb_diluk_fact(fill_in,ialg,a,l,u,d,info,blck)
real(psb_dpk_), intent(inout) :: d(:)
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act
type(psb_dspmat_type), pointer :: blck_
type(psb_d_csr_sparse_mat) :: ll, uu
character(len=20) :: name, ch_err
@ -152,17 +152,17 @@ subroutine psb_diluk_fact(fill_in,ialg,a,l,u,d,info,blck)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
@ -170,7 +170,7 @@ subroutine psb_diluk_fact(fill_in,ialg,a,l,u,d,info,blck)
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -203,15 +203,15 @@ subroutine psb_diluk_fact(fill_in,ialg,a,l,u,d,info,blck)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -280,7 +280,7 @@ contains
! according to the CSR storage format.
! lia2 - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in laspk, according to the CSR storage format.
! of the L factor in laspk, according to the CSR storage format.
! uval - real(psb_dpk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -289,12 +289,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in laspk.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_diluk_factint(fill_in,ialg,a,b,&
@ -304,7 +304,7 @@ contains
implicit none
! Arguments
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg
type(psb_dspmat_type),intent(in) :: a,b
integer(psb_ipk_),intent(inout) :: l1,l2,info
@ -330,14 +330,14 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
& i_err=(/itwo,ialg,izero,izero,izero/))
goto 9999
end select
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
@ -349,7 +349,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the iluk_copyin function
! Allocate a temporary buffer for the iluk_copyin function
!
call trw%allocate(izero,izero,ione)
@ -361,7 +361,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -381,34 +381,34 @@ contains
uplevs(:) = m+1
row(:) = dzero
rowlevs(:) = -(m+1)
!
! Cycle over the matrix rows
!
do i = 1, m
!
! At each iteration of the loop we keep in a heap the column indices
! affected by the factorization. The heap is initialized and filled
! in the iluk_copyin routine, and updated during the elimination, in
! the iluk_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = dzero
if (i<=ma) then
!
! Copy into trw the i-th local row of the matrix, stored in a
!
! Copy into trw the i-th local row of the matrix, stored in a
!
call iluk_copyin(i,ma,a,ione,m,row,rowlevs,heap,ktrw,trw,info)
else
!
! Copy into trw the i-th local row of the matrix, stored in b
! (as (i-ma)-th row)
!
! (as (i-ma)-th row)
!
call iluk_copyin(i-ma,mb,b,ione,m,row,rowlevs,heap,ktrw,trw,info)
endif
! Do an elimination step on the current row. It turns out we only
! need to keep track of fill levels for the upper triangle, hence we
! do not have a lowlevs variable.
@ -417,7 +417,7 @@ contains
& d,uja,uirp,uval,uplevs,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call iluk_copyout(fill_in,ialg,i,m,row,rowlevs,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,uplevs,info)
if (info /= psb_success_) then
@ -474,11 +474,11 @@ contains
!
! This routine is used by psb_diluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -510,7 +510,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_dspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -521,8 +521,8 @@ contains
use psb_base_mod
implicit none
! Arguments
! Arguments
type(psb_dspmat_type), intent(in) :: a
type(psb_d_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i,m,jmin,jmax
@ -542,17 +542,17 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
call heap%init(info)
call heap%init(info)
select type (aa=> a%a)
type is (psb_d_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_d_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)
rowlevs(k) = 0
call heap%insert(k,info)
@ -562,14 +562,14 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to iluk_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -581,11 +581,11 @@ contains
ktrw=1
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)
rowlevs(k) = 0
call heap%insert(k,info)
@ -674,10 +674,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i, fill_in
integer(psb_ipk_), intent(inout) :: nidx,info
integer(psb_ipk_), intent(inout) :: rowlevs(:)
@ -690,7 +690,7 @@ contains
real(psb_dpk_) :: rwk
info = psb_success_
if (.not.allocated(idxs)) then
if (.not.allocated(idxs)) then
allocate(idxs(200),stat=info)
if (info /= psb_success_) return
endif
@ -702,34 +702,34 @@ contains
!
do
! Beware: (iret < 0) means that the heap is empty, not an error.
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) return
!
!
! Just in case an index has been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
nidx = nidx + 1
if (nidx>size(idxs)) then
if (nidx>size(idxs)) then
call psb_realloc(nidx+psb_heap_resize,idxs,info)
if (info /= psb_success_) return
end if
idxs(nidx) = k
if ((row(k) /= dzero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
if ((row(k) /= dzero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
!
! Note: since U is scaled while copying it out (see iluk_copyout),
! we can use rwk in the update below
!
!
rwk = row(k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
lrwk = rowlevs(k)
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
if (j<=k) then
info = -i
return
endif
@ -738,9 +738,9 @@ contains
! The fill levels are initialized to a negative value. If we find
! one, it means that it is an as yet untouched index, so we need
! to insert it; otherwise it is already on the heap, there is no
! need to insert it more than once.
! need to insert it more than once.
!
if (rowlevs(j)<0) then
if (rowlevs(j)<0) then
call heap%insert(j,info)
if (info /= psb_success_) return
rowlevs(j) = abs(rowlevs(j))
@ -781,7 +781,7 @@ contains
!
! This routine is used by psb_diluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -822,14 +822,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_diluk_factint), according to the CSR storage format.
! lval - real(psb_dpk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - real(psb_dpk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_diluk_factint), according
@ -850,7 +850,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg, i, m, nidx
@ -880,17 +880,17 @@ contains
if (j<i) then
!
! Copy the lower part of the row
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -914,26 +914,26 @@ contains
!
! Copy the diagonal entry of the row and re-initialize
! row(j) and rowlevs(j)
!
d(i) = d(i) + row(i)
!
d(i) = d(i) + row(i)
row(i) = dzero
rowlevs(i) = -(m+1)
else if (j>i) then
else if (j>i) then
!
! Copy the upper part of the row
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
! Figure out a good reallocation size!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info == psb_success_) call psb_realloc(isz,uplevs,info,pad=(m+1))
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -941,11 +941,11 @@ contains
end if
uja(l2) = j
uval(l2) = row(j)
uplevs(l2) = rowlevs(j)
uplevs(l2) = rowlevs(j)
else if (ialg == psb_milu_n_) then
!
! MILU(k): add discarded entries to the diagonal one
!
!
d(i) = d(i) + row(j)
end if
!
@ -963,13 +963,13 @@ contains
lirp(i+1) = l1 + 1
uirp(i+1) = l2 + 1
!
!
! Check the pivot size
!
if (abs(d(i)) < d_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)

264
prec/impl/psb_d_ilut_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_dilut_fact.f90
!
! Subroutine: psb_dilut_fact
@ -87,7 +87,7 @@
! CSR. The diagonal of the U factor is stored separately (actually, the
! inverse of the diagonal entries is stored; this is then managed in the
! solve stage associated to the ILU(k,t) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -114,7 +114,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_dspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -122,9 +122,9 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_dilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
use psb_base_mod
use psb_d_ilu_fact_mod, psb_protect_name => psb_dilut_fact
@ -141,7 +141,7 @@ subroutine psb_dilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
integer(psb_ipk_), intent(in), optional :: iscale
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act, iscale_
type(psb_dspmat_type), pointer :: blck_
type(psb_d_csr_sparse_mat) :: ll, uu
real(psb_dpk_) :: scale
@ -151,34 +151,34 @@ subroutine psb_dilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
info = psb_success_
call psb_erractionsave(err_act)
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
goto 9999
end if
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(iscale)) then
if (present(iscale)) then
iscale_ = iscale
else
iscale_ = psb_ilu_scale_none_
end if
select case(iscale_)
select case(iscale_)
case(psb_ilu_scale_none_)
scale = sone
case(psb_ilu_scale_maxval_)
@ -189,10 +189,10 @@ subroutine psb_dilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call psb_errpush(info,name,i_err=(/ione*9,iscale_,izero,izero,izero/))
goto 9999
end select
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -225,15 +225,15 @@ subroutine psb_dilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -298,7 +298,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - real(psb_dpk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -307,12 +307,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in lval.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_dilut_factint(fill_in,thres,a,b,&
@ -320,7 +320,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in
@ -355,7 +355,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the ilut_copyin function
! Allocate a temporary buffer for the ilut_copyin function
!
call trw%allocate(izero,izero,ione)
if (info == psb_success_) call psb_ensure_size(m+1,lirp,info)
@ -366,7 +366,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -396,10 +396,10 @@ contains
! in the ilut_copyin function, and updated during the elimination, in
! the ilut_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = czero
if (i<=ma) then
if (i<=ma) then
call ilut_copyin(i,ma,a,i,ione,m,nlw,nup,jmaxup,nrmi,weight,&
& row,heap,ktrw,trw,info)
else
@ -414,7 +414,7 @@ contains
& d,uja,uirp,uval,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call ilut_copyout(fill_in,thres,i,m,&
& nlw,nup,jmaxup,nrmi,row,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,info)
@ -429,7 +429,7 @@ contains
!
! Adjust diagonal accounting for scale factor
!
if (weight /= sone) then
if (weight /= sone) then
d(1:m) = d(1:m)*weight
end if
@ -469,7 +469,7 @@ contains
! - storing into a heap the column indices of the nonzero entries of the copied
! row;
! - computing the column index of the first entry with maximum absolute value
! in the part of the row belonging to the upper triangle;
! in the part of the row belonging to the upper triangle;
! - computing the 2-norm of the row.
! The output array row is such that it contains a full row of A, i.e. it contains
! also the zero entries of the row. This is useful for the elimination step
@ -482,11 +482,11 @@ contains
!
! This routine is used by psb_dilut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -533,7 +533,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_dspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -542,7 +542,7 @@ contains
subroutine ilut_copyin(i,m,a,jd,jmin,jmax,nlw,nup,jmaxup,&
& nrmi,weight,row,heap,ktrw,trw,info)
use psb_base_mod
implicit none
implicit none
type(psb_dspmat_type), intent(in) :: a
type(psb_d_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i, m,jmin,jmax,jd
@ -584,29 +584,29 @@ contains
dmaxup = szero
nrmi = szero
select type (aa=> a%a)
type is (psb_d_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_d_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
end if
end if
end do
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
@ -617,16 +617,16 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to ilut_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -639,18 +639,18 @@ contains
kin = ktrw
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
@ -734,10 +734,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i
integer(psb_ipk_), intent(inout) :: nidx,info
real(psb_dpk_), intent(in) :: thres,nrmi
@ -753,23 +753,23 @@ contains
call psb_ensure_size(200*ione,idxs,info)
if (info /= psb_success_) return
nidx = 0
lastk = -1
lastk = -1
!
! Do while there are indices to be processed
!
do
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) exit
!
!
! An index may have been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
lowert: if (k<i) then
!
! Dropping rule based on the threshold: compare the absolute
! value of each updated entry of row with thres * 2-norm of row.
@ -777,7 +777,7 @@ contains
rwk = row(k)
row(k) = row(k) * d(k)
if (abs(row(k)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(k) = czero
@ -786,11 +786,11 @@ contains
!
! Note: since U is scaled while copying it out (see ilut_copyout),
! we can use rwk in the update below.
!
!
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
info = -i
if (j<=k) then
info = -i
return
endif
!
@ -799,7 +799,7 @@ contains
!
row(j) = row(j) - rwk * uval(jj)
if (abs(row(j)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(j) = czero
@ -818,7 +818,7 @@ contains
! If we get here it is an index we need to keep on copyout.
!
nidx = nidx + 1
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
if (info /= psb_success_) return
idxs(nidx) = k
@ -852,7 +852,7 @@ contains
!
! This routine is used by psb_dilut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -895,14 +895,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_dilut_factint), according to the CSR storage format.
! lval - real(psb_dpk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - real(psb_dpk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_dilut_factint), according
@ -921,7 +921,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in,i,m,nidx,nlw,nup,jmaxup
@ -950,22 +950,22 @@ contains
end if
!
! Here we need to apply also the dropping rule base on the fill-in.
! Here we need to apply also the dropping rule base on the fill-in.
! We do it by putting into a heap the elements that are not dropped
! by using the 2-norm rule, and then copying them out.
! by using the 2-norm rule, and then copying them out.
!
! The heap goes down on the entry absolute value, so the first item
! is the largest absolute value.
! is the largest absolute value.
!
call heap%init(info,dir=psb_asort_down_)
if (info == psb_success_) allocate(xwid(nidx),xw(nidx),indx(nidx),stat=info)
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/3*nidx,izero,izero,izero,izero/),&
& a_err='real(psb_dpk_)')
goto 9999
goto 9999
end if
!
@ -976,7 +976,7 @@ contains
idxp = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
@ -987,8 +987,8 @@ contains
!
if (abs(witem) < thres*nrmi) cycle
nz = nz + 1
xw(nz) = witem
nz = nz + 1
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1000,9 +1000,9 @@ contains
!
! Now we have to take out the first nlw+fill_in entries
!
!
if (nz <= nlw+fill_in) then
!
!
! Just copy everything from xw, and it is already ordered
!
else
@ -1014,7 +1014,7 @@ contains
call psb_errpush(info,name,a_err='psb_heap_get_first')
goto 9999
end if
xw(k) = witem
xwid(k) = widx
end do
@ -1029,15 +1029,15 @@ contains
! Copy out the lower part of the row
!
do k=1,nz
l1 = l1 + 1
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -1046,25 +1046,25 @@ contains
lja(l1) = xwid(k)
lval(l1) = xw(indx(k))
end do
!
! Make sure idxp points to the diagonal entry
!
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
end do
end if
end if
if (idxp > size(idxs)) then
if (idxp > size(idxs)) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else
if (idxs(idxp) > i) then
if (idxs(idxp) > i) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else if (idxs(idxp) /= i) then
else if (idxs(idxp) /= i) then
!!$ write(0,*) 'Warning: impossible error: diagonal has vanished'
else
!
@ -1076,7 +1076,7 @@ contains
if (abs(d(i)) < d_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)
@ -1092,7 +1092,7 @@ contains
end if
!
! Now the upper part
! Now the upper part
!
call heap%init(info,dir=psb_asort_down_)
@ -1104,15 +1104,15 @@ contains
nz = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
widx = idxs(idxp)
if (widx <= i) then
if (widx <= i) then
!!$ write(0,*) 'Warning: lower triangle in upper copy',widx,i,idxp,idxs(idxp)
cycle
end if
if (widx > m) then
if (widx > m) then
!!$ write(0,*) 'Warning: impossible value',widx,i,idxp,idxs(idxp)
cycle
end if
@ -1120,12 +1120,12 @@ contains
!
! Dropping rule based on the 2-norm. But keep the jmaxup-th entry anyway.
!
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
end if
nz = nz + 1
xw(nz) = witem
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1133,7 +1133,7 @@ contains
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
end if
end do
!
@ -1141,7 +1141,7 @@ contains
! we include entry jmaxup.
!
if (nz <= nup+fill_in) then
!
!
! Just copy everything from xw
!
fndmaxup=.true.
@ -1155,13 +1155,13 @@ contains
if (widx == jmaxup) fndmaxup=.true.
end do
end if
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
! Include entry jmaxup, if it is not already there.
! Put it in the place of the smallest coefficient.
! Put it in the place of the smallest coefficient.
!
xw(nz) = row(jmaxup)
xw(nz) = row(jmaxup)
xwid(nz) = jmaxup
endif
end if
@ -1175,15 +1175,15 @@ contains
! Copy out the upper part of the row
!
do k=1,nz
l2 = l2 + 1
l2 = l2 + 1
if (size(uval) < l2) then
!
!
! Figure out a good reallocation size!
!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999

154
prec/impl/psb_s_ilu0_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_silu0_fact.f90
!
! Subroutine: psb_silu0_fact
@ -75,7 +75,7 @@
!
! This routine computes either the ILU(0) or the MILU(0) factorization of
! the diagonal blocks of a distributed matrix. These factorizations are used
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a given level of a
! multilevel preconditioner.
!
@ -83,10 +83,10 @@
! Y. Saad, Iterative Methods for Sparse Linear Systems, Second Edition,
! SIAM, 2003, Chapter 10.
!
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! to the ILU(0)/MILU(0) factorization).
!
! The routine copies and factors "on the fly" from a and blck into l (L factor),
@ -94,7 +94,7 @@
!
! This implementation of ILU(0)/MILU(0) is faster than the implementation in
! psb_ziluk_fct (the latter routine performs the more general ILU(k)/MILU(k)).
!
!
!
! Arguments:
! ialg - integer, input.
@ -121,7 +121,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_sspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -129,7 +129,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck is empty.
!
!
subroutine psb_silu0_fact(ialg,a,l,u,d,info,blck, upd)
use psb_base_mod
@ -157,30 +157,30 @@ subroutine psb_silu0_fact(ialg,a,l,u,d,info,blck, upd)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(upd)) then
upd_ = psb_toupper(upd)
if (present(upd)) then
upd_ = psb_toupper(upd)
else
upd_ = 'F'
end if
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -212,12 +212,12 @@ subroutine psb_silu0_fact(ialg,a,l,u,d,info,blck, upd)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
if(info.ne.0) then
@ -226,7 +226,7 @@ subroutine psb_silu0_fact(ialg,a,l,u,d,info,blck, upd)
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(blck_)
deallocate(blck_)
endif
call psb_erractionrestore(err_act)
@ -243,9 +243,9 @@ contains
! Version: real
! Note: internal subroutine of psb_silu0_fact.
!
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! (block-Jacobi preconditioner/solver, Additive Schwarz
! preconditioner) corresponding to a given level of a multilevel preconditioner.
!
@ -257,7 +257,7 @@ contains
!
! The routine copies and factors "on the fly" from the sparse matrix structures a
! and b into the arrays lval, uval, d (L, U without its diagonal, diagonal of U).
!
!
!
! Arguments:
! ialg - integer, input.
@ -296,7 +296,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - real(psb_spk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -305,18 +305,18 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output.
! The number of nonzero entries in lval.
! l2 - integer, output.
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_silu0_factint(ialg,a,b,&
& d,lval,lja,lirp,uval,uja,uirp,l1,l2,upd,info)
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: ialg
@ -332,7 +332,7 @@ contains
real(psb_spk_) :: dia,temp
integer(psb_ipk_), parameter :: nrb=16
type(psb_s_coo_sparse_mat) :: trw
integer(psb_ipk_) :: int_err(5)
integer(psb_ipk_) :: int_err(5)
character(len=20) :: name, ch_err
name='psb_silu0_factint'
@ -346,10 +346,10 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione,ialg,izero,izero,izero/))
goto 9999
end select
@ -363,7 +363,7 @@ contains
end if
m = ma+mb
if (psb_toupper(upd) == 'F' ) then
if (psb_toupper(upd) == 'F' ) then
lirp(1) = 1
uirp(1) = 1
l1 = 0
@ -379,14 +379,14 @@ contains
if (i <= ma) then
!
! Copy the i-th local row of the matrix, stored in a,
! into lval/d(i)/uval
! into lval/d(i)/uval
!
call ilu_copyin(i,ma,a,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
else
!
! Copy the i-th local row of the matrix, stored in b
! (as (i-ma)-th row), into lval/d(i)/uval
! (as (i-ma)-th row), into lval/d(i)/uval
!
call ilu_copyin(i-ma,mb,b,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
@ -437,7 +437,7 @@ contains
!
dia = dia - temp*uval(jj)
cycle updateloop
!
!
else if (j > i) then
!
! search u(i,*) (i-th row of U) for a matching index j
@ -454,23 +454,23 @@ contains
end if
enddo
end if
!
! If we get here we missed the cycle updateloop, which means
!
! If we get here we missed the cycle updateloop, which means
! that this entry does not match; thus we accumulate on the
! diagonal for MILU(0).
!
if (ialg == psb_milu_n_) then
if (ialg == psb_milu_n_) then
dia = dia - temp*uval(jj)
end if
enddo updateloop
enddo
!
!
! Check the pivot size
!
!
if (abs(dia) < s_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') abs(dia)
@ -493,7 +493,7 @@ contains
else
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999
@ -515,7 +515,7 @@ contains
! Version: real
! Note: internal subroutine of psb_silu0_fact
!
! This routine copies a row of a sparse matrix A, stored in the psb_sspmat_type
! This routine copies a row of a sparse matrix A, stored in the psb_sspmat_type
! data structure a, into the arrays lval and uval and into the scalar variable
! dia, corresponding to the lower and upper triangles of A and to the diagonal
! entry of the row, respectively. The entries in lval and uval are stored
@ -529,14 +529,14 @@ contains
!
! The routine is used by psb_silu0_factint in the computation of the ILU(0)/MILU(0)
! factorization of a local sparse matrix.
!
!
! TODO: modify the routine to allow copying into output L and U that are
! already filled with indices; this would allow computing an ILU(k) pattern,
! then use the ILU(0) internal for subsequent calls with the same pattern.
! then use the ILU(0) internal for subsequent calls with the same pattern.
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -570,13 +570,13 @@ contains
! to the CSR storage format.
! uval - real(psb_spk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! upper triangle are copied.
! upper triangle are copied.
! ktrw - integer, input/output.
! The index identifying the last entry taken from the
! staging buffer trw. See below.
! trw - type(psb_sspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -608,10 +608,10 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
if (psb_toupper(upd) == 'F') then
if (psb_toupper(upd) == 'F') then
select type(aa => a%a)
type is (psb_s_csr_sparse_mat)
select type(aa => a%a)
type is (psb_s_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
@ -633,19 +633,19 @@ contains
end if
enddo
class default
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into lval, dia, uval, through
! successive calls to ilu_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
call aa%csget(i,i+irb-1,trw,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csget'
@ -656,7 +656,7 @@ contains
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
@ -680,7 +680,7 @@ contains
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999

214
prec/impl/psb_s_iluk_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_siluk_fact.f90
!
! Subroutine: psb_siluk_fact
@ -74,7 +74,7 @@
! Contains: psb_siluk_factint, iluk_copyin, iluk_fact, iluk_copyout.
!
! This routine computes either the ILU(k) or the MILU(k) factorization of the
! diagonal blocks of a distributed matrix. These factorizations are used to
! diagonal blocks of a distributed matrix. These factorizations are used to
! build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a certain level of a
! multilevel preconditioner.
@ -88,7 +88,7 @@
! U factors is CSR. The diagonal of the U factor is stored separately (actually,
! the inverse of the diagonal entries is stored; this is then managed in the solve
! stage associated to the ILU(k)/MILU(k) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -118,7 +118,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_sspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -126,7 +126,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_siluk_fact(fill_in,ialg,a,l,u,d,info,blck)
use psb_base_mod
@ -143,7 +143,7 @@ subroutine psb_siluk_fact(fill_in,ialg,a,l,u,d,info,blck)
real(psb_spk_), intent(inout) :: d(:)
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act
type(psb_sspmat_type), pointer :: blck_
type(psb_s_csr_sparse_mat) :: ll, uu
character(len=20) :: name, ch_err
@ -152,17 +152,17 @@ subroutine psb_siluk_fact(fill_in,ialg,a,l,u,d,info,blck)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
@ -170,7 +170,7 @@ subroutine psb_siluk_fact(fill_in,ialg,a,l,u,d,info,blck)
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -203,15 +203,15 @@ subroutine psb_siluk_fact(fill_in,ialg,a,l,u,d,info,blck)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -280,7 +280,7 @@ contains
! according to the CSR storage format.
! lia2 - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in laspk, according to the CSR storage format.
! of the L factor in laspk, according to the CSR storage format.
! uval - real(psb_spk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -289,12 +289,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in laspk.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_siluk_factint(fill_in,ialg,a,b,&
@ -304,7 +304,7 @@ contains
implicit none
! Arguments
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg
type(psb_sspmat_type),intent(in) :: a,b
integer(psb_ipk_),intent(inout) :: l1,l2,info
@ -330,14 +330,14 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
& i_err=(/itwo,ialg,izero,izero,izero/))
goto 9999
end select
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
@ -349,7 +349,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the iluk_copyin function
! Allocate a temporary buffer for the iluk_copyin function
!
call trw%allocate(izero,izero,ione)
@ -361,7 +361,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -381,34 +381,34 @@ contains
uplevs(:) = m+1
row(:) = szero
rowlevs(:) = -(m+1)
!
! Cycle over the matrix rows
!
do i = 1, m
!
! At each iteration of the loop we keep in a heap the column indices
! affected by the factorization. The heap is initialized and filled
! in the iluk_copyin routine, and updated during the elimination, in
! the iluk_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = szero
if (i<=ma) then
!
! Copy into trw the i-th local row of the matrix, stored in a
!
! Copy into trw the i-th local row of the matrix, stored in a
!
call iluk_copyin(i,ma,a,ione,m,row,rowlevs,heap,ktrw,trw,info)
else
!
! Copy into trw the i-th local row of the matrix, stored in b
! (as (i-ma)-th row)
!
! (as (i-ma)-th row)
!
call iluk_copyin(i-ma,mb,b,ione,m,row,rowlevs,heap,ktrw,trw,info)
endif
! Do an elimination step on the current row. It turns out we only
! need to keep track of fill levels for the upper triangle, hence we
! do not have a lowlevs variable.
@ -417,7 +417,7 @@ contains
& d,uja,uirp,uval,uplevs,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call iluk_copyout(fill_in,ialg,i,m,row,rowlevs,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,uplevs,info)
if (info /= psb_success_) then
@ -474,11 +474,11 @@ contains
!
! This routine is used by psb_siluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -510,7 +510,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_sspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -521,8 +521,8 @@ contains
use psb_base_mod
implicit none
! Arguments
! Arguments
type(psb_sspmat_type), intent(in) :: a
type(psb_s_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i,m,jmin,jmax
@ -542,17 +542,17 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
call heap%init(info)
call heap%init(info)
select type (aa=> a%a)
type is (psb_s_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_s_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)
rowlevs(k) = 0
call heap%insert(k,info)
@ -562,14 +562,14 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to iluk_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -581,11 +581,11 @@ contains
ktrw=1
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)
rowlevs(k) = 0
call heap%insert(k,info)
@ -674,10 +674,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i, fill_in
integer(psb_ipk_), intent(inout) :: nidx,info
integer(psb_ipk_), intent(inout) :: rowlevs(:)
@ -690,7 +690,7 @@ contains
real(psb_spk_) :: rwk
info = psb_success_
if (.not.allocated(idxs)) then
if (.not.allocated(idxs)) then
allocate(idxs(200),stat=info)
if (info /= psb_success_) return
endif
@ -702,34 +702,34 @@ contains
!
do
! Beware: (iret < 0) means that the heap is empty, not an error.
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) return
!
!
! Just in case an index has been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
nidx = nidx + 1
if (nidx>size(idxs)) then
if (nidx>size(idxs)) then
call psb_realloc(nidx+psb_heap_resize,idxs,info)
if (info /= psb_success_) return
end if
idxs(nidx) = k
if ((row(k) /= szero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
if ((row(k) /= szero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
!
! Note: since U is scaled while copying it out (see iluk_copyout),
! we can use rwk in the update below
!
!
rwk = row(k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
lrwk = rowlevs(k)
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
if (j<=k) then
info = -i
return
endif
@ -738,9 +738,9 @@ contains
! The fill levels are initialized to a negative value. If we find
! one, it means that it is an as yet untouched index, so we need
! to insert it; otherwise it is already on the heap, there is no
! need to insert it more than once.
! need to insert it more than once.
!
if (rowlevs(j)<0) then
if (rowlevs(j)<0) then
call heap%insert(j,info)
if (info /= psb_success_) return
rowlevs(j) = abs(rowlevs(j))
@ -781,7 +781,7 @@ contains
!
! This routine is used by psb_siluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -822,14 +822,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_siluk_factint), according to the CSR storage format.
! lval - real(psb_spk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - real(psb_spk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_siluk_factint), according
@ -850,7 +850,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg, i, m, nidx
@ -880,17 +880,17 @@ contains
if (j<i) then
!
! Copy the lower part of the row
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -914,26 +914,26 @@ contains
!
! Copy the diagonal entry of the row and re-initialize
! row(j) and rowlevs(j)
!
d(i) = d(i) + row(i)
!
d(i) = d(i) + row(i)
row(i) = szero
rowlevs(i) = -(m+1)
else if (j>i) then
else if (j>i) then
!
! Copy the upper part of the row
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
! Figure out a good reallocation size!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info == psb_success_) call psb_realloc(isz,uplevs,info,pad=(m+1))
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -941,11 +941,11 @@ contains
end if
uja(l2) = j
uval(l2) = row(j)
uplevs(l2) = rowlevs(j)
uplevs(l2) = rowlevs(j)
else if (ialg == psb_milu_n_) then
!
! MILU(k): add discarded entries to the diagonal one
!
!
d(i) = d(i) + row(j)
end if
!
@ -963,13 +963,13 @@ contains
lirp(i+1) = l1 + 1
uirp(i+1) = l2 + 1
!
!
! Check the pivot size
!
if (abs(d(i)) < s_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)

264
prec/impl/psb_s_ilut_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_silut_fact.f90
!
! Subroutine: psb_silut_fact
@ -87,7 +87,7 @@
! CSR. The diagonal of the U factor is stored separately (actually, the
! inverse of the diagonal entries is stored; this is then managed in the
! solve stage associated to the ILU(k,t) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -114,7 +114,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_sspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -122,9 +122,9 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_silut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
use psb_base_mod
use psb_s_ilu_fact_mod, psb_protect_name => psb_silut_fact
@ -141,7 +141,7 @@ subroutine psb_silut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
integer(psb_ipk_), intent(in), optional :: iscale
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act, iscale_
type(psb_sspmat_type), pointer :: blck_
type(psb_s_csr_sparse_mat) :: ll, uu
real(psb_spk_) :: scale
@ -151,34 +151,34 @@ subroutine psb_silut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
info = psb_success_
call psb_erractionsave(err_act)
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
goto 9999
end if
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(iscale)) then
if (present(iscale)) then
iscale_ = iscale
else
iscale_ = psb_ilu_scale_none_
end if
select case(iscale_)
select case(iscale_)
case(psb_ilu_scale_none_)
scale = sone
case(psb_ilu_scale_maxval_)
@ -189,10 +189,10 @@ subroutine psb_silut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call psb_errpush(info,name,i_err=(/ione*9,iscale_,izero,izero,izero/))
goto 9999
end select
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -225,15 +225,15 @@ subroutine psb_silut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -298,7 +298,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - real(psb_spk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -307,12 +307,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in lval.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_silut_factint(fill_in,thres,a,b,&
@ -320,7 +320,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in
@ -355,7 +355,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the ilut_copyin function
! Allocate a temporary buffer for the ilut_copyin function
!
call trw%allocate(izero,izero,ione)
if (info == psb_success_) call psb_ensure_size(m+1,lirp,info)
@ -366,7 +366,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -396,10 +396,10 @@ contains
! in the ilut_copyin function, and updated during the elimination, in
! the ilut_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = czero
if (i<=ma) then
if (i<=ma) then
call ilut_copyin(i,ma,a,i,ione,m,nlw,nup,jmaxup,nrmi,weight,&
& row,heap,ktrw,trw,info)
else
@ -414,7 +414,7 @@ contains
& d,uja,uirp,uval,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call ilut_copyout(fill_in,thres,i,m,&
& nlw,nup,jmaxup,nrmi,row,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,info)
@ -429,7 +429,7 @@ contains
!
! Adjust diagonal accounting for scale factor
!
if (weight /= sone) then
if (weight /= sone) then
d(1:m) = d(1:m)*weight
end if
@ -469,7 +469,7 @@ contains
! - storing into a heap the column indices of the nonzero entries of the copied
! row;
! - computing the column index of the first entry with maximum absolute value
! in the part of the row belonging to the upper triangle;
! in the part of the row belonging to the upper triangle;
! - computing the 2-norm of the row.
! The output array row is such that it contains a full row of A, i.e. it contains
! also the zero entries of the row. This is useful for the elimination step
@ -482,11 +482,11 @@ contains
!
! This routine is used by psb_silut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -533,7 +533,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_sspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -542,7 +542,7 @@ contains
subroutine ilut_copyin(i,m,a,jd,jmin,jmax,nlw,nup,jmaxup,&
& nrmi,weight,row,heap,ktrw,trw,info)
use psb_base_mod
implicit none
implicit none
type(psb_sspmat_type), intent(in) :: a
type(psb_s_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i, m,jmin,jmax,jd
@ -584,29 +584,29 @@ contains
dmaxup = szero
nrmi = szero
select type (aa=> a%a)
type is (psb_s_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_s_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
end if
end if
end do
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
@ -617,16 +617,16 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to ilut_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -639,18 +639,18 @@ contains
kin = ktrw
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
@ -734,10 +734,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i
integer(psb_ipk_), intent(inout) :: nidx,info
real(psb_spk_), intent(in) :: thres,nrmi
@ -753,23 +753,23 @@ contains
call psb_ensure_size(200*ione,idxs,info)
if (info /= psb_success_) return
nidx = 0
lastk = -1
lastk = -1
!
! Do while there are indices to be processed
!
do
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) exit
!
!
! An index may have been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
lowert: if (k<i) then
!
! Dropping rule based on the threshold: compare the absolute
! value of each updated entry of row with thres * 2-norm of row.
@ -777,7 +777,7 @@ contains
rwk = row(k)
row(k) = row(k) * d(k)
if (abs(row(k)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(k) = czero
@ -786,11 +786,11 @@ contains
!
! Note: since U is scaled while copying it out (see ilut_copyout),
! we can use rwk in the update below.
!
!
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
info = -i
if (j<=k) then
info = -i
return
endif
!
@ -799,7 +799,7 @@ contains
!
row(j) = row(j) - rwk * uval(jj)
if (abs(row(j)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(j) = czero
@ -818,7 +818,7 @@ contains
! If we get here it is an index we need to keep on copyout.
!
nidx = nidx + 1
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
if (info /= psb_success_) return
idxs(nidx) = k
@ -852,7 +852,7 @@ contains
!
! This routine is used by psb_silut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -895,14 +895,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_silut_factint), according to the CSR storage format.
! lval - real(psb_spk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - real(psb_spk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_silut_factint), according
@ -921,7 +921,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in,i,m,nidx,nlw,nup,jmaxup
@ -950,22 +950,22 @@ contains
end if
!
! Here we need to apply also the dropping rule base on the fill-in.
! Here we need to apply also the dropping rule base on the fill-in.
! We do it by putting into a heap the elements that are not dropped
! by using the 2-norm rule, and then copying them out.
! by using the 2-norm rule, and then copying them out.
!
! The heap goes down on the entry absolute value, so the first item
! is the largest absolute value.
! is the largest absolute value.
!
call heap%init(info,dir=psb_asort_down_)
if (info == psb_success_) allocate(xwid(nidx),xw(nidx),indx(nidx),stat=info)
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/3*nidx,izero,izero,izero,izero/),&
& a_err='real(psb_spk_)')
goto 9999
goto 9999
end if
!
@ -976,7 +976,7 @@ contains
idxp = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
@ -987,8 +987,8 @@ contains
!
if (abs(witem) < thres*nrmi) cycle
nz = nz + 1
xw(nz) = witem
nz = nz + 1
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1000,9 +1000,9 @@ contains
!
! Now we have to take out the first nlw+fill_in entries
!
!
if (nz <= nlw+fill_in) then
!
!
! Just copy everything from xw, and it is already ordered
!
else
@ -1014,7 +1014,7 @@ contains
call psb_errpush(info,name,a_err='psb_heap_get_first')
goto 9999
end if
xw(k) = witem
xwid(k) = widx
end do
@ -1029,15 +1029,15 @@ contains
! Copy out the lower part of the row
!
do k=1,nz
l1 = l1 + 1
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -1046,25 +1046,25 @@ contains
lja(l1) = xwid(k)
lval(l1) = xw(indx(k))
end do
!
! Make sure idxp points to the diagonal entry
!
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
end do
end if
end if
if (idxp > size(idxs)) then
if (idxp > size(idxs)) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else
if (idxs(idxp) > i) then
if (idxs(idxp) > i) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else if (idxs(idxp) /= i) then
else if (idxs(idxp) /= i) then
!!$ write(0,*) 'Warning: impossible error: diagonal has vanished'
else
!
@ -1076,7 +1076,7 @@ contains
if (abs(d(i)) < s_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)
@ -1092,7 +1092,7 @@ contains
end if
!
! Now the upper part
! Now the upper part
!
call heap%init(info,dir=psb_asort_down_)
@ -1104,15 +1104,15 @@ contains
nz = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
widx = idxs(idxp)
if (widx <= i) then
if (widx <= i) then
!!$ write(0,*) 'Warning: lower triangle in upper copy',widx,i,idxp,idxs(idxp)
cycle
end if
if (widx > m) then
if (widx > m) then
!!$ write(0,*) 'Warning: impossible value',widx,i,idxp,idxs(idxp)
cycle
end if
@ -1120,12 +1120,12 @@ contains
!
! Dropping rule based on the 2-norm. But keep the jmaxup-th entry anyway.
!
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
end if
nz = nz + 1
xw(nz) = witem
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1133,7 +1133,7 @@ contains
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
end if
end do
!
@ -1141,7 +1141,7 @@ contains
! we include entry jmaxup.
!
if (nz <= nup+fill_in) then
!
!
! Just copy everything from xw
!
fndmaxup=.true.
@ -1155,13 +1155,13 @@ contains
if (widx == jmaxup) fndmaxup=.true.
end do
end if
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
! Include entry jmaxup, if it is not already there.
! Put it in the place of the smallest coefficient.
! Put it in the place of the smallest coefficient.
!
xw(nz) = row(jmaxup)
xw(nz) = row(jmaxup)
xwid(nz) = jmaxup
endif
end if
@ -1175,15 +1175,15 @@ contains
! Copy out the upper part of the row
!
do k=1,nz
l2 = l2 + 1
l2 = l2 + 1
if (size(uval) < l2) then
!
!
! Figure out a good reallocation size!
!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999

154
prec/impl/psb_z_ilu0_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_zilu0_fact.f90
!
! Subroutine: psb_zilu0_fact
@ -75,7 +75,7 @@
!
! This routine computes either the ILU(0) or the MILU(0) factorization of
! the diagonal blocks of a distributed matrix. These factorizations are used
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! to build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a given level of a
! multilevel preconditioner.
!
@ -83,10 +83,10 @@
! Y. Saad, Iterative Methods for Sparse Linear Systems, Second Edition,
! SIAM, 2003, Chapter 10.
!
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! The local matrix is stored into a and blck, as specified in the description
! of the arguments below. The storage format for both the L and U factors is CSR.
! The diagonal of the U factor is stored separately (actually, the inverse of the
! diagonal entries is stored; this is then managed in the solve stage associated
! to the ILU(0)/MILU(0) factorization).
!
! The routine copies and factors "on the fly" from a and blck into l (L factor),
@ -94,7 +94,7 @@
!
! This implementation of ILU(0)/MILU(0) is faster than the implementation in
! psb_ziluk_fct (the latter routine performs the more general ILU(k)/MILU(k)).
!
!
!
! Arguments:
! ialg - integer, input.
@ -121,7 +121,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_zspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -129,7 +129,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck is empty.
!
!
subroutine psb_zilu0_fact(ialg,a,l,u,d,info,blck, upd)
use psb_base_mod
@ -157,30 +157,30 @@ subroutine psb_zilu0_fact(ialg,a,l,u,d,info,blck, upd)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(upd)) then
upd_ = psb_toupper(upd)
if (present(upd)) then
upd_ = psb_toupper(upd)
else
upd_ = 'F'
end if
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -212,12 +212,12 @@ subroutine psb_zilu0_fact(ialg,a,l,u,d,info,blck, upd)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
if(info.ne.0) then
@ -226,7 +226,7 @@ subroutine psb_zilu0_fact(ialg,a,l,u,d,info,blck, upd)
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(blck_)
deallocate(blck_)
endif
call psb_erractionrestore(err_act)
@ -243,9 +243,9 @@ contains
! Version: complex
! Note: internal subroutine of psb_zilu0_fact.
!
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! This routine computes either the ILU(0) or the MILU(0) factorization of the
! diagonal blocks of a distributed matrix.
! These factorizations are used to build the 'base preconditioner'
! (block-Jacobi preconditioner/solver, Additive Schwarz
! preconditioner) corresponding to a given level of a multilevel preconditioner.
!
@ -257,7 +257,7 @@ contains
!
! The routine copies and factors "on the fly" from the sparse matrix structures a
! and b into the arrays lval, uval, d (L, U without its diagonal, diagonal of U).
!
!
!
! Arguments:
! ialg - integer, input.
@ -296,7 +296,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - complex(psb_dpk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -305,18 +305,18 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output.
! The number of nonzero entries in lval.
! l2 - integer, output.
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_zilu0_factint(ialg,a,b,&
& d,lval,lja,lirp,uval,uja,uirp,l1,l2,upd,info)
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: ialg
@ -332,7 +332,7 @@ contains
complex(psb_dpk_) :: dia,temp
integer(psb_ipk_), parameter :: nrb=16
type(psb_z_coo_sparse_mat) :: trw
integer(psb_ipk_) :: int_err(5)
integer(psb_ipk_) :: int_err(5)
character(len=20) :: name, ch_err
name='psb_zilu0_factint'
@ -346,10 +346,10 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione,ialg,izero,izero,izero/))
goto 9999
end select
@ -363,7 +363,7 @@ contains
end if
m = ma+mb
if (psb_toupper(upd) == 'F' ) then
if (psb_toupper(upd) == 'F' ) then
lirp(1) = 1
uirp(1) = 1
l1 = 0
@ -379,14 +379,14 @@ contains
if (i <= ma) then
!
! Copy the i-th local row of the matrix, stored in a,
! into lval/d(i)/uval
! into lval/d(i)/uval
!
call ilu_copyin(i,ma,a,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
else
!
! Copy the i-th local row of the matrix, stored in b
! (as (i-ma)-th row), into lval/d(i)/uval
! (as (i-ma)-th row), into lval/d(i)/uval
!
call ilu_copyin(i-ma,mb,b,i,ione,m,l1,lja,lval,&
& d(i),l2,uja,uval,ktrw,trw,upd)
@ -437,7 +437,7 @@ contains
!
dia = dia - temp*uval(jj)
cycle updateloop
!
!
else if (j > i) then
!
! search u(i,*) (i-th row of U) for a matching index j
@ -454,23 +454,23 @@ contains
end if
enddo
end if
!
! If we get here we missed the cycle updateloop, which means
!
! If we get here we missed the cycle updateloop, which means
! that this entry does not match; thus we accumulate on the
! diagonal for MILU(0).
!
if (ialg == psb_milu_n_) then
if (ialg == psb_milu_n_) then
dia = dia - temp*uval(jj)
end if
enddo updateloop
enddo
!
!
! Check the pivot size
!
!
if (abs(dia) < d_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') abs(dia)
@ -493,7 +493,7 @@ contains
else
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999
@ -515,7 +515,7 @@ contains
! Version: complex
! Note: internal subroutine of psb_zilu0_fact
!
! This routine copies a row of a sparse matrix A, stored in the psb_zspmat_type
! This routine copies a row of a sparse matrix A, stored in the psb_zspmat_type
! data structure a, into the arrays lval and uval and into the scalar variable
! dia, corresponding to the lower and upper triangles of A and to the diagonal
! entry of the row, respectively. The entries in lval and uval are stored
@ -529,14 +529,14 @@ contains
!
! The routine is used by psb_zilu0_factint in the computation of the ILU(0)/MILU(0)
! factorization of a local sparse matrix.
!
!
! TODO: modify the routine to allow copying into output L and U that are
! already filled with indices; this would allow computing an ILU(k) pattern,
! then use the ILU(0) internal for subsequent calls with the same pattern.
! then use the ILU(0) internal for subsequent calls with the same pattern.
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -570,13 +570,13 @@ contains
! to the CSR storage format.
! uval - complex(psb_dpk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! upper triangle are copied.
! upper triangle are copied.
! ktrw - integer, input/output.
! The index identifying the last entry taken from the
! staging buffer trw. See below.
! trw - type(psb_zspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -608,10 +608,10 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
if (psb_toupper(upd) == 'F') then
if (psb_toupper(upd) == 'F') then
select type(aa => a%a)
type is (psb_z_csr_sparse_mat)
select type(aa => a%a)
type is (psb_z_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
@ -633,19 +633,19 @@ contains
end if
enddo
class default
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into lval, dia, uval, through
! successive calls to ilu_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
call aa%csget(i,i+irb-1,trw,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csget'
@ -656,7 +656,7 @@ contains
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
@ -680,7 +680,7 @@ contains
write(0,*) 'Update not implemented '
info = 31
call psb_errpush(info,name,&
call psb_errpush(info,name,&
& i_err=(/ione*13,izero,izero,izero,izero/),a_err=upd)
goto 9999

214
prec/impl/psb_z_iluk_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_ziluk_fact.f90
!
! Subroutine: psb_ziluk_fact
@ -74,7 +74,7 @@
! Contains: psb_ziluk_factint, iluk_copyin, iluk_fact, iluk_copyout.
!
! This routine computes either the ILU(k) or the MILU(k) factorization of the
! diagonal blocks of a distributed matrix. These factorizations are used to
! diagonal blocks of a distributed matrix. These factorizations are used to
! build the 'base preconditioner' (block-Jacobi preconditioner/solver,
! Additive Schwarz preconditioner) corresponding to a certain level of a
! multilevel preconditioner.
@ -88,7 +88,7 @@
! U factors is CSR. The diagonal of the U factor is stored separately (actually,
! the inverse of the diagonal entries is stored; this is then managed in the solve
! stage associated to the ILU(k)/MILU(k) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -118,7 +118,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_zspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -126,7 +126,7 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_ziluk_fact(fill_in,ialg,a,l,u,d,info,blck)
use psb_base_mod
@ -143,7 +143,7 @@ subroutine psb_ziluk_fact(fill_in,ialg,a,l,u,d,info,blck)
complex(psb_dpk_), intent(inout) :: d(:)
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act
type(psb_zspmat_type), pointer :: blck_
type(psb_z_csr_sparse_mat) :: ll, uu
character(len=20) :: name, ch_err
@ -152,17 +152,17 @@ subroutine psb_ziluk_fact(fill_in,ialg,a,l,u,d,info,blck)
info = psb_success_
call psb_erractionsave(err_act)
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
@ -170,7 +170,7 @@ subroutine psb_ziluk_fact(fill_in,ialg,a,l,u,d,info,blck)
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -203,15 +203,15 @@ subroutine psb_ziluk_fact(fill_in,ialg,a,l,u,d,info,blck)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -280,7 +280,7 @@ contains
! according to the CSR storage format.
! lia2 - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in laspk, according to the CSR storage format.
! of the L factor in laspk, according to the CSR storage format.
! uval - complex(psb_dpk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -289,12 +289,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in laspk.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_ziluk_factint(fill_in,ialg,a,b,&
@ -304,7 +304,7 @@ contains
implicit none
! Arguments
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg
type(psb_zspmat_type),intent(in) :: a,b
integer(psb_ipk_),intent(inout) :: l1,l2,info
@ -330,14 +330,14 @@ contains
select case(ialg)
case(psb_ilu_n_,psb_milu_n_)
! Ok
! Ok
case default
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name,&
& i_err=(/itwo,ialg,izero,izero,izero/))
goto 9999
end select
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
@ -349,7 +349,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the iluk_copyin function
! Allocate a temporary buffer for the iluk_copyin function
!
call trw%allocate(izero,izero,ione)
@ -361,7 +361,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -381,34 +381,34 @@ contains
uplevs(:) = m+1
row(:) = zzero
rowlevs(:) = -(m+1)
!
! Cycle over the matrix rows
!
do i = 1, m
!
! At each iteration of the loop we keep in a heap the column indices
! affected by the factorization. The heap is initialized and filled
! in the iluk_copyin routine, and updated during the elimination, in
! the iluk_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = zzero
if (i<=ma) then
!
! Copy into trw the i-th local row of the matrix, stored in a
!
! Copy into trw the i-th local row of the matrix, stored in a
!
call iluk_copyin(i,ma,a,ione,m,row,rowlevs,heap,ktrw,trw,info)
else
!
! Copy into trw the i-th local row of the matrix, stored in b
! (as (i-ma)-th row)
!
! (as (i-ma)-th row)
!
call iluk_copyin(i-ma,mb,b,ione,m,row,rowlevs,heap,ktrw,trw,info)
endif
! Do an elimination step on the current row. It turns out we only
! need to keep track of fill levels for the upper triangle, hence we
! do not have a lowlevs variable.
@ -417,7 +417,7 @@ contains
& d,uja,uirp,uval,uplevs,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call iluk_copyout(fill_in,ialg,i,m,row,rowlevs,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,uplevs,info)
if (info /= psb_success_) then
@ -474,11 +474,11 @@ contains
!
! This routine is used by psb_ziluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -510,7 +510,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_zspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -521,8 +521,8 @@ contains
use psb_base_mod
implicit none
! Arguments
! Arguments
type(psb_zspmat_type), intent(in) :: a
type(psb_z_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i,m,jmin,jmax
@ -542,17 +542,17 @@ contains
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_; goto 9999
end if
call heap%init(info)
call heap%init(info)
select type (aa=> a%a)
type is (psb_z_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_z_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)
rowlevs(k) = 0
call heap%insert(k,info)
@ -562,14 +562,14 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to iluk_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -581,11 +581,11 @@ contains
ktrw=1
end if
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)
rowlevs(k) = 0
call heap%insert(k,info)
@ -674,10 +674,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i, fill_in
integer(psb_ipk_), intent(inout) :: nidx,info
integer(psb_ipk_), intent(inout) :: rowlevs(:)
@ -690,7 +690,7 @@ contains
complex(psb_dpk_) :: rwk
info = psb_success_
if (.not.allocated(idxs)) then
if (.not.allocated(idxs)) then
allocate(idxs(200),stat=info)
if (info /= psb_success_) return
endif
@ -702,34 +702,34 @@ contains
!
do
! Beware: (iret < 0) means that the heap is empty, not an error.
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) return
!
!
! Just in case an index has been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
nidx = nidx + 1
if (nidx>size(idxs)) then
if (nidx>size(idxs)) then
call psb_realloc(nidx+psb_heap_resize,idxs,info)
if (info /= psb_success_) return
end if
idxs(nidx) = k
if ((row(k) /= zzero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
if ((row(k) /= zzero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
!
! Note: since U is scaled while copying it out (see iluk_copyout),
! we can use rwk in the update below
!
!
rwk = row(k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
lrwk = rowlevs(k)
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
if (j<=k) then
info = -i
return
endif
@ -738,9 +738,9 @@ contains
! The fill levels are initialized to a negative value. If we find
! one, it means that it is an as yet untouched index, so we need
! to insert it; otherwise it is already on the heap, there is no
! need to insert it more than once.
! need to insert it more than once.
!
if (rowlevs(j)<0) then
if (rowlevs(j)<0) then
call heap%insert(j,info)
if (info /= psb_success_) return
rowlevs(j) = abs(rowlevs(j))
@ -781,7 +781,7 @@ contains
!
! This routine is used by psb_ziluk_factint in the computation of the
! ILU(k)/MILU(k) factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -822,14 +822,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_ziluk_factint), according to the CSR storage format.
! lval - complex(psb_dpk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - complex(psb_dpk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_ziluk_factint), according
@ -850,7 +850,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in, ialg, i, m, nidx
@ -880,17 +880,17 @@ contains
if (j<i) then
!
! Copy the lower part of the row
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
!
if (rowlevs(j) <= fill_in) then
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -914,26 +914,26 @@ contains
!
! Copy the diagonal entry of the row and re-initialize
! row(j) and rowlevs(j)
!
d(i) = d(i) + row(i)
!
d(i) = d(i) + row(i)
row(i) = zzero
rowlevs(i) = -(m+1)
else if (j>i) then
else if (j>i) then
!
! Copy the upper part of the row
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
!
if (rowlevs(j) <= fill_in) then
l2 = l2 + 1
if (size(uval) < l2) then
!
! Figure out a good reallocation size!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info == psb_success_) call psb_realloc(isz,uplevs,info,pad=(m+1))
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -941,11 +941,11 @@ contains
end if
uja(l2) = j
uval(l2) = row(j)
uplevs(l2) = rowlevs(j)
uplevs(l2) = rowlevs(j)
else if (ialg == psb_milu_n_) then
!
! MILU(k): add discarded entries to the diagonal one
!
!
d(i) = d(i) + row(j)
end if
!
@ -963,13 +963,13 @@ contains
lirp(i+1) = l1 + 1
uirp(i+1) = l2 + 1
!
!
! Check the pivot size
!
if (abs(d(i)) < d_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)

264
prec/impl/psb_z_ilut_fact.f90
Unescape Escape View File

@ -1,9 +1,9 @@
!
!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -15,7 +15,7 @@
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -27,21 +27,21 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! Moved here from MLD2P4, original copyright below.
!
!
!
!
!
!
! MLD2P4 version 2.2
! MultiLevel Domain Decomposition Parallel Preconditioners Package
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
!
! (C) Copyright 2008-2018
!
! Salvatore Filippone
! Pasqua D'Ambra
! Daniela di Serafino
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
@ -53,7 +53,7 @@
! 3. The name of the MLD2P4 group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@ -65,8 +65,8 @@
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
!
! File: psb_zilut_fact.f90
!
! Subroutine: psb_zilut_fact
@ -87,7 +87,7 @@
! CSR. The diagonal of the U factor is stored separately (actually, the
! inverse of the diagonal entries is stored; this is then managed in the
! solve stage associated to the ILU(k,t) factorization).
!
!
!
! Arguments:
! fill_in - integer, input.
@ -114,7 +114,7 @@
! factorization.
! Note: its allocation is managed by the calling routine psb_ilu_bld,
! hence it cannot be only intent(out).
! info - integer, output.
! info - integer, output.
! Error code.
! blck - type(psb_zspmat_type), input, optional, target.
! The sparse matrix structure containing the remote rows of the
@ -122,9 +122,9 @@
! to build an Additive Schwarz base preconditioner with overlap
! greater than 0. If the overlap is 0 or the matrix has been reordered
! (see psb_fact_bld), then blck does not contain any row.
!
!
subroutine psb_zilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
use psb_base_mod
use psb_z_ilu_fact_mod, psb_protect_name => psb_zilut_fact
@ -141,7 +141,7 @@ subroutine psb_zilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
integer(psb_ipk_), intent(in), optional :: iscale
! Local Variables
integer(psb_ipk_) :: l1, l2, m, err_act, iscale_
type(psb_zspmat_type), pointer :: blck_
type(psb_z_csr_sparse_mat) :: ll, uu
real(psb_dpk_) :: scale
@ -151,34 +151,34 @@ subroutine psb_zilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
info = psb_success_
call psb_erractionsave(err_act)
if (fill_in < 0) then
if (fill_in < 0) then
info=psb_err_input_asize_invalid_i_
call psb_errpush(info,name, &
& i_err=(/ione,fill_in,izero,izero,izero/))
goto 9999
end if
!
!
! Point to / allocate memory for the incomplete factorization
!
if (present(blck)) then
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%csall(izero,izero,info,ione)
allocate(blck_,stat=info)
if (info == psb_success_) call blck_%allocate(izero,izero,info,ione,type='CSR')
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='csall'
ch_err='allocate'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
endif
if (present(iscale)) then
if (present(iscale)) then
iscale_ = iscale
else
iscale_ = psb_ilu_scale_none_
end if
select case(iscale_)
select case(iscale_)
case(psb_ilu_scale_none_)
scale = sone
case(psb_ilu_scale_maxval_)
@ -189,10 +189,10 @@ subroutine psb_zilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call psb_errpush(info,name,i_err=(/ione*9,iscale_,izero,izero,izero/))
goto 9999
end select
m = a%get_nrows() + blck_%get_nrows()
if ((m /= l%get_nrows()).or.(m /= u%get_nrows()).or.&
& (m > size(d)) ) then
& (m > size(d)) ) then
write(0,*) 'Wrong allocation status for L,D,U? ',&
& l%get_nrows(),size(d),u%get_nrows()
info = -1
@ -225,15 +225,15 @@ subroutine psb_zilut_fact(fill_in,thres,a,l,u,d,info,blck,iscale)
call u%set_triangle()
call u%set_unit()
call u%set_upper()
!
! Nullify pointer / deallocate memory
!
if (present(blck)) then
blck_ => null()
if (present(blck)) then
blck_ => null()
else
call blck_%free()
deallocate(blck_,stat=info)
deallocate(blck_,stat=info)
if(info.ne.0) then
info=psb_err_from_subroutine_
ch_err='psb_sp_free'
@ -298,7 +298,7 @@ contains
! according to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor in lval, according to the CSR storage format.
! of the L factor in lval, according to the CSR storage format.
! uval - complex(psb_dpk_), dimension(:), input/output.
! The U factor in the incomplete factorization.
! The entries of U are stored according to the CSR format.
@ -307,12 +307,12 @@ contains
! according to the CSR storage format.
! uirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the U factor in uval, according to the CSR storage format.
! of the U factor in uval, according to the CSR storage format.
! l1 - integer, output
! The number of nonzero entries in lval.
! l2 - integer, output
! The number of nonzero entries in uval.
! info - integer, output.
! info - integer, output.
! Error code.
!
subroutine psb_zilut_factint(fill_in,thres,a,b,&
@ -320,7 +320,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in
@ -355,7 +355,7 @@ contains
m = ma+mb
!
! Allocate a temporary buffer for the ilut_copyin function
! Allocate a temporary buffer for the ilut_copyin function
!
call trw%allocate(izero,izero,ione)
if (info == psb_success_) call psb_ensure_size(m+1,lirp,info)
@ -366,7 +366,7 @@ contains
call psb_errpush(info,name,a_err='psb_sp_all')
goto 9999
end if
l1=0
l2=0
lirp(1) = 1
@ -396,10 +396,10 @@ contains
! in the ilut_copyin function, and updated during the elimination, in
! the ilut_fact routine. The heap is ideal because at each step we need
! the lowest index, but we also need to insert new items, and the heap
! allows to do both in log time.
! allows to do both in log time.
!
d(i) = czero
if (i<=ma) then
if (i<=ma) then
call ilut_copyin(i,ma,a,i,ione,m,nlw,nup,jmaxup,nrmi,weight,&
& row,heap,ktrw,trw,info)
else
@ -414,7 +414,7 @@ contains
& d,uja,uirp,uval,nidx,idxs,info)
!
! Copy the row into lval/d(i)/uval
!
!
if (info == psb_success_) call ilut_copyout(fill_in,thres,i,m,&
& nlw,nup,jmaxup,nrmi,row,nidx,idxs,&
& l1,l2,lja,lirp,lval,d,uja,uirp,uval,info)
@ -429,7 +429,7 @@ contains
!
! Adjust diagonal accounting for scale factor
!
if (weight /= sone) then
if (weight /= sone) then
d(1:m) = d(1:m)*weight
end if
@ -469,7 +469,7 @@ contains
! - storing into a heap the column indices of the nonzero entries of the copied
! row;
! - computing the column index of the first entry with maximum absolute value
! in the part of the row belonging to the upper triangle;
! in the part of the row belonging to the upper triangle;
! - computing the 2-norm of the row.
! The output array row is such that it contains a full row of A, i.e. it contains
! also the zero entries of the row. This is useful for the elimination step
@ -482,11 +482,11 @@ contains
!
! This routine is used by psb_zilut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! i - integer, input.
! The local index of the row to be extracted from the
! The local index of the row to be extracted from the
! sparse matrix structure a.
! m - integer, input.
! The number of rows of the local matrix stored into a.
@ -533,7 +533,7 @@ contains
! staging buffer trw. See below.
! trw - type(psb_zspmat_type), input/output.
! A staging buffer. If the matrix A is not in CSR format, we use
! the psb_sp_getblk routine and store its output in trw; when we
! the psb_sp_getblk routine and store its output in trw; when we
! need to call psb_sp_getblk we do it for a block of rows, and then
! we consume them from trw in successive calls to this routine,
! until we empty the buffer. Thus we will make a call to psb_sp_getblk
@ -542,7 +542,7 @@ contains
subroutine ilut_copyin(i,m,a,jd,jmin,jmax,nlw,nup,jmaxup,&
& nrmi,weight,row,heap,ktrw,trw,info)
use psb_base_mod
implicit none
implicit none
type(psb_zspmat_type), intent(in) :: a
type(psb_z_coo_sparse_mat), intent(inout) :: trw
integer(psb_ipk_), intent(in) :: i, m,jmin,jmax,jd
@ -584,29 +584,29 @@ contains
dmaxup = szero
nrmi = szero
select type (aa=> a%a)
type is (psb_z_csr_sparse_mat)
select type (aa=> a%a)
type is (psb_z_csr_sparse_mat)
!
! Take a fast shortcut if the matrix is stored in CSR format
!
do j = aa%irp(i), aa%irp(i+1) - 1
k = aa%ja(j)
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
if ((jmin<=k).and.(k<=jmax)) then
row(k) = aa%val(j)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
end if
end if
end do
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
@ -617,16 +617,16 @@ contains
class default
!
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! Otherwise use psb_sp_getblk, slower but able (in principle) of
! handling any format. In this case, a block of rows is extracted
! instead of a single row, for performance reasons, and these
! rows are copied one by one into the array row, through successive
! calls to ilut_copyin.
!
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
irb = min(m-i+1,nrb)
call aa%csget(i,i+irb-1,trw,info)
if (info /= psb_success_) then
@ -639,18 +639,18 @@ contains
kin = ktrw
nz = trw%get_nzeros()
do
do
if (ktrw > nz) exit
if (trw%ia(ktrw) > i) exit
k = trw%ja(ktrw)
if ((jmin<=k).and.(k<=jmax)) then
if ((jmin<=k).and.(k<=jmax)) then
row(k) = trw%val(ktrw)*weight
call heap%insert(k,info)
if (info /= psb_success_) exit
if (k<jd) nlw = nlw + 1
if (k>jd) then
if (k<jd) nlw = nlw + 1
if (k>jd) then
nup = nup + 1
if (abs(row(k))>dmaxup) then
if (abs(row(k))>dmaxup) then
jmaxup = k
dmaxup = abs(row(k))
end if
@ -734,10 +734,10 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
type(psb_i_heap), intent(inout) :: heap
type(psb_i_heap), intent(inout) :: heap
integer(psb_ipk_), intent(in) :: i
integer(psb_ipk_), intent(inout) :: nidx,info
real(psb_dpk_), intent(in) :: thres,nrmi
@ -753,23 +753,23 @@ contains
call psb_ensure_size(200*ione,idxs,info)
if (info /= psb_success_) return
nidx = 0
lastk = -1
lastk = -1
!
! Do while there are indices to be processed
!
do
call heap%get_first(k,iret)
call heap%get_first(k,iret)
if (iret < 0) exit
!
!
! An index may have been put on the heap more than once.
!
if (k == lastk) cycle
lastk = k
lastk = k
lowert: if (k<i) then
!
! Dropping rule based on the threshold: compare the absolute
! value of each updated entry of row with thres * 2-norm of row.
@ -777,7 +777,7 @@ contains
rwk = row(k)
row(k) = row(k) * d(k)
if (abs(row(k)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(k) = czero
@ -786,11 +786,11 @@ contains
!
! Note: since U is scaled while copying it out (see ilut_copyout),
! we can use rwk in the update below.
!
!
do jj=uirp(k),uirp(k+1)-1
j = uja(jj)
if (j<=k) then
info = -i
if (j<=k) then
info = -i
return
endif
!
@ -799,7 +799,7 @@ contains
!
row(j) = row(j) - rwk * uval(jj)
if (abs(row(j)) < thres*nrmi) then
!
!
! Drop the entry.
!
row(j) = czero
@ -818,7 +818,7 @@ contains
! If we get here it is an index we need to keep on copyout.
!
nidx = nidx + 1
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
call psb_ensure_size(nidx,idxs,info,addsz=psb_heap_resize)
if (info /= psb_success_) return
idxs(nidx) = k
@ -852,7 +852,7 @@ contains
!
! This routine is used by psb_zilut_factint in the computation of the ILU(k,t)
! factorization of a local sparse matrix.
!
!
!
! Arguments:
! fill_in - integer, input.
@ -895,14 +895,14 @@ contains
! to the CSR storage format.
! lirp - integer, dimension(:), input/output.
! The indices identifying the first nonzero entry of each row
! of the L factor, copied in lval row by row (see
! of the L factor, copied in lval row by row (see
! psb_zilut_factint), according to the CSR storage format.
! lval - complex(psb_dpk_), dimension(:), input/output.
! The array where the entries of the row corresponding to the
! L factor are copied.
! d - complex(psb_dpk_), dimension(:), input/output.
! The array where the inverse of the diagonal entry of the
! row is copied (only d(i) is used by the routine).
! row is copied (only d(i) is used by the routine).
! uja - integer, dimension(:), input/output.
! The column indices of the nonzero entries of the U factor
! copied in uval row by row (see psb_zilut_factint), according
@ -921,7 +921,7 @@ contains
use psb_base_mod
implicit none
implicit none
! Arguments
integer(psb_ipk_), intent(in) :: fill_in,i,m,nidx,nlw,nup,jmaxup
@ -950,22 +950,22 @@ contains
end if
!
! Here we need to apply also the dropping rule base on the fill-in.
! Here we need to apply also the dropping rule base on the fill-in.
! We do it by putting into a heap the elements that are not dropped
! by using the 2-norm rule, and then copying them out.
! by using the 2-norm rule, and then copying them out.
!
! The heap goes down on the entry absolute value, so the first item
! is the largest absolute value.
! is the largest absolute value.
!
call heap%init(info,dir=psb_asort_down_)
if (info == psb_success_) allocate(xwid(nidx),xw(nidx),indx(nidx),stat=info)
if (info /= psb_success_) then
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/3*nidx,izero,izero,izero,izero/),&
& a_err='complex(psb_dpk_)')
goto 9999
goto 9999
end if
!
@ -976,7 +976,7 @@ contains
idxp = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
@ -987,8 +987,8 @@ contains
!
if (abs(witem) < thres*nrmi) cycle
nz = nz + 1
xw(nz) = witem
nz = nz + 1
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1000,9 +1000,9 @@ contains
!
! Now we have to take out the first nlw+fill_in entries
!
!
if (nz <= nlw+fill_in) then
!
!
! Just copy everything from xw, and it is already ordered
!
else
@ -1014,7 +1014,7 @@ contains
call psb_errpush(info,name,a_err='psb_heap_get_first')
goto 9999
end if
xw(k) = witem
xwid(k) = widx
end do
@ -1029,15 +1029,15 @@ contains
! Copy out the lower part of the row
!
do k=1,nz
l1 = l1 + 1
l1 = l1 + 1
if (size(lval) < l1) then
!
!
! Figure out a good reallocation size!
!
!
isz = (max((l1/i)*m,int(1.2*l1),l1+100))
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
call psb_realloc(isz,lval,info)
if (info == psb_success_) call psb_realloc(isz,lja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999
@ -1046,25 +1046,25 @@ contains
lja(l1) = xwid(k)
lval(l1) = xw(indx(k))
end do
!
! Make sure idxp points to the diagonal entry
!
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
if (idxp <= size(idxs)) then
if (idxs(idxp) < i) then
do
idxp = idxp + 1
if (idxp > nidx) exit
if (idxs(idxp) >= i) exit
end do
end if
end if
if (idxp > size(idxs)) then
if (idxp > size(idxs)) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else
if (idxs(idxp) > i) then
if (idxs(idxp) > i) then
!!$ write(0,*) 'Warning: missing diagonal element in the row '
else if (idxs(idxp) /= i) then
else if (idxs(idxp) /= i) then
!!$ write(0,*) 'Warning: impossible error: diagonal has vanished'
else
!
@ -1076,7 +1076,7 @@ contains
if (abs(d(i)) < d_epstol) then
!
! Too small pivot: unstable factorization
!
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') d(i)
@ -1092,7 +1092,7 @@ contains
end if
!
! Now the upper part
! Now the upper part
!
call heap%init(info,dir=psb_asort_down_)
@ -1104,15 +1104,15 @@ contains
nz = 0
do
idxp = idxp + 1
if (idxp > nidx) exit
widx = idxs(idxp)
if (widx <= i) then
if (widx <= i) then
!!$ write(0,*) 'Warning: lower triangle in upper copy',widx,i,idxp,idxs(idxp)
cycle
end if
if (widx > m) then
if (widx > m) then
!!$ write(0,*) 'Warning: impossible value',widx,i,idxp,idxs(idxp)
cycle
end if
@ -1120,12 +1120,12 @@ contains
!
! Dropping rule based on the 2-norm. But keep the jmaxup-th entry anyway.
!
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
if ((widx /= jmaxup) .and. (abs(witem) < thres*nrmi)) then
cycle
end if
nz = nz + 1
xw(nz) = witem
xw(nz) = witem
xwid(nz) = widx
call heap%insert(witem,widx,info)
if (info /= psb_success_) then
@ -1133,7 +1133,7 @@ contains
call psb_errpush(info,name,a_err='psb_insert_heap')
goto 9999
end if
end do
!
@ -1141,7 +1141,7 @@ contains
! we include entry jmaxup.
!
if (nz <= nup+fill_in) then
!
!
! Just copy everything from xw
!
fndmaxup=.true.
@ -1155,13 +1155,13 @@ contains
if (widx == jmaxup) fndmaxup=.true.
end do
end if
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
if ((i<jmaxup).and.(jmaxup<=m)) then
if (.not.fndmaxup) then
!
! Include entry jmaxup, if it is not already there.
! Put it in the place of the smallest coefficient.
! Put it in the place of the smallest coefficient.
!
xw(nz) = row(jmaxup)
xw(nz) = row(jmaxup)
xwid(nz) = jmaxup
endif
end if
@ -1175,15 +1175,15 @@ contains
! Copy out the upper part of the row
!
do k=1,nz
l2 = l2 + 1
l2 = l2 + 1
if (size(uval) < l2) then
!
!
! Figure out a good reallocation size!
!
!
isz = max((l2/i)*m,int(1.2*l2),l2+100)
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
call psb_realloc(isz,uval,info)
if (info == psb_success_) call psb_realloc(isz,uja,info)
if (info /= psb_success_) then
info=psb_err_from_subroutine_
call psb_errpush(info,name,a_err='Allocate')
goto 9999

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