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rSPCLIBS SPClibs
petsc_mod.F90
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!>
!> @file petsc_mod.F90
!>
!> @brief
!>
!> @copyright
!> Copyright (©) 2021 EPFL (Ecole Polytechnique Fédérale de Lausanne)
!> SPC (Swiss Plasma Center)
!>
!> SPClibs is free software: you can redistribute it and/or modify it under
!> the terms of the GNU Lesser General Public License as published by the Free
!> Software Foundation, either version 3 of the License, or (at your option)
!> any later version.
!>
!> SPClibs is distributed in the hope that it will be useful, but WITHOUT ANY
!> WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
!> FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
!>
!> You should have received a copy of the GNU Lesser General Public License
!> along with this program. If not, see <https://www.gnu.org/licenses/>.
!>
!> @author
!> (in alphabetical order)
!> @author Trach-Minh Tran <trach-minh.tran@epfl.ch>
!>
MODULE
petsc_bsplines
!
! PETSC_BSPLINES: Simple interface to the parallel iterative
! solver PETSC
!
! T.M. Tran, CRPP-EPFL
! June 2011
!
USE
sparse
IMPLICIT NONE
#
include
"finclude/petsc.h90"
!
TYPE
petsc_mat
INTEGER
::
rank
INTEGER
(
8
)
::
nnz
,
nnz_loc
INTEGER
::
nterms
,
kmat
INTEGER
::
istart
,
iend
INTEGER
,
POINTER
::
rcounts
(:)
=>
NULL
()
INTEGER
,
POINTER
::
rdispls
(:)
=>
NULL
()
INTEGER
::
comm
LOGICAL
::
nlsym
LOGICAL
::
nlforce_zero
TYPE
(
spmat
),
POINTER
::
mat
=>
NULL
()
INTEGER
,
POINTER
::
cols
(:)
=>
NULL
()
INTEGER
,
POINTER
::
irow
(:)
=>
NULL
()
DOUBLE PRECISION
,
POINTER
::
val
(:)
=>
NULL
()
!
Mat
::
AMAT
KSP
::
SOLVER
END TYPE
petsc_mat
!
INTERFACE
init
MODULE
PROCEDURE
init_petsc_mat
END INTERFACE
init
!
INTERFACE
clear_mat
MODULE
PROCEDURE
clear_petsc_mat
END INTERFACE
clear_mat
!
INTERFACE
updtmat
MODULE
PROCEDURE
updt_petsc_mat
END INTERFACE
updtmat
!
INTERFACE
putele
MODULE
PROCEDURE
putele_petsc_mat
END INTERFACE
putele
!
INTERFACE
getele
MODULE
PROCEDURE
getele_petsc_mat
END INTERFACE
getele
!
INTERFACE
putrow
MODULE
PROCEDURE
putrow_petsc_mat
END INTERFACE
putrow
!
INTERFACE
getrow
MODULE
PROCEDURE
getrow_petsc_mat
END INTERFACE
getrow
!
INTERFACE
putcol
MODULE
PROCEDURE
putcol_petsc_mat
END INTERFACE
putcol
!
INTERFACE
getcol
MODULE
PROCEDURE
getcol_petsc_mat
END INTERFACE
getcol
!
INTERFACE
get_count
MODULE
PROCEDURE
get_count_petsc_mat
END INTERFACE
get_count
!
INTERFACE
to_mat
MODULE
PROCEDURE
to_petsc_mat
END INTERFACE
to_mat
!
INTERFACE
save_mat
MODULE
PROCEDURE
save_petsc_mat
END INTERFACE
save_mat
!
INTERFACE
load_mat
MODULE
PROCEDURE
load_petsc_mat
END INTERFACE
load_mat
!
INTERFACE
bsolve
MODULE
PROCEDURE
bsolve_petsc_mat1
,
bsolve_petsc_matn
END INTERFACE
bsolve
!
INTERFACE
vmx
MODULE
PROCEDURE
vmx_petsc_mat
,
vmx_petsc_matn
END INTERFACE
vmx
!
INTERFACE
destroy
MODULE
PROCEDURE
destroy_petsc_mat
END INTERFACE
destroy
!
INTERFACE
mcopy
MODULE
PROCEDURE
mcopy_petsc_mat
END INTERFACE
mcopy
!
INTERFACE
maddto
MODULE
PROCEDURE
maddto_petsc_mat
END INTERFACE
maddto
!
CONTAINS
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
init_petsc_mat
(
n
,
nterms
,
mat
,
kmat
,
nlsym
,
&
&
nlforce_zero
,
comm
)
!
! Initialize an empty sparse petsc matrix
!
USE
pputils2
INCLUDE
'mpif.h'
!
INTEGER
,
INTENT
(
in
)
::
n
,
nterms
TYPE
(
petsc_mat
)
::
mat
INTEGER
,
OPTIONAL
,
INTENT
(
in
)
::
kmat
LOGICAL
,
OPTIONAL
,
INTENT
(
in
)
::
nlsym
LOGICAL
,
OPTIONAL
,
INTENT
(
in
)
::
nlforce_zero
INTEGER
,
OPTIONAL
,
INTENT
(
in
)
::
comm
!
INTEGER
::
me
,
npes
INTEGER
::
i
,
ierr
,
nloc
PetscBool
::
flg
!!$ PetscTruth :: flg ! Petsc version before 3.2
!
! Prologue
!
CALL
mpi_comm_size
(
comm
,
npes
,
ierr
)
CALL
mpi_comm_rank
(
comm
,
me
,
ierr
)
!
mat
%
rank
=
n
mat
%
nterms
=
nterms
mat
%
nnz
=
0
mat
%
nlsym
=
.FALSE.
mat
%
nlforce_zero
=
.TRUE.
! Do not remove existing nodes with zero val
IF
(
PRESENT
(
kmat
))
mat
%
kmat
=
kmat
IF
(
PRESENT
(
nlsym
))
mat
%
nlsym
=
nlsym
IF
(
PRESENT
(
nlforce_zero
))
mat
%
nlforce_zero
=
nlforce_zero
!
! Inititialize the PETSC environment
!
IF
(
PRESENT
(
comm
))
THEN
PETSC_COMM_WORLD
=
comm
ELSE
! Single process Petsc
PETSC_COMM_WORLD
=
MPI_COMM_SELF
END IF
CALL
PetscInitialize
(
PETSC_NULL_CHARACTER
,
ierr
)
mat
%
comm
=
PETSC_COMM_WORLD
!
! Matrix partition
!
CALL
dist1d
(
mat
%
comm
,
1
,
n
,
mat
%
istart
,
nloc
)
mat
%
iend
=
mat
%
istart
+
nloc
-
1
!
IF
(
ASSOCIATED
(
mat
%
rcounts
))
DEALLOCATE
(
mat
%
rcounts
)
IF
(
ASSOCIATED
(
mat
%
rdispls
))
DEALLOCATE
(
mat
%
rdispls
)
ALLOCATE
(
mat
%
rcounts
(
0
:
npes
-
1
))
ALLOCATE
(
mat
%
rdispls
(
0
:
npes
-
1
))
CALL
mpi_allgather
(
nloc
,
1
,
MPI_INTEGER
,
mat
%
rcounts
,
1
,
MPI_INTEGER
,
&
&
mat
%
comm
,
ierr
)
mat
%
rdispls
(
0
)
=
0
DO
i
=
1
,
npes
-
1
mat
%
rdispls
(
i
)
=
mat
%
rdispls
(
i
-
1
)
+
mat
%
rcounts
(
i
-
1
)
END DO
!
! Initialize linked list for sparse matrix
!
IF
(
ASSOCIATED
(
mat
%
mat
))
DEALLOCATE
(
mat
%
mat
)
ALLOCATE
(
mat
%
mat
)
CALL
init
(
n
,
mat
%
mat
,
mat
%
istart
,
mat
%
iend
)
!
! Create PETSC matrix
!
CALL
MatCreate
(
mat
%
comm
,
mat
%
AMAT
,
ierr
)
CALL
MatSetSizes
(
mat
%
AMAT
,
nloc
,
nloc
,
n
,
n
,
ierr
)
CALL
MatSetFromOptions
(
mat
%
AMAT
,
ierr
)
!
! Create PETSC SOLVER
!
CALL
KSPCreate
(
mat
%
comm
,
mat
%
SOLVER
,
ierr
)
!
END SUBROUTINE
init_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
clear_petsc_mat
(
mat
)
!
! Clear matrix, keeping its sparse structure unchanged
!
TYPE
(
petsc_mat
)
::
mat
!
IF
(
ASSOCIATED
(
mat
%
val
))
THEN
mat
%
val
=
0.0
d0
ELSE
CALL
MatZeroEntries
(
mat
%
AMAT
)
END IF
END SUBROUTINE
clear_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
updt_petsc_mat
(
mat
,
i
,
j
,
val
)
!
! Update element Aij of petsc matrix
!
TYPE
(
petsc_mat
)
::
mat
INTEGER
,
INTENT
(
in
)
::
i
,
j
DOUBLE PRECISION
,
INTENT
(
in
)
::
val
INTEGER
::
ierr
!
IF
(
mat
%
nlsym
)
THEN
! Store only upper part for symmetric matrices
IF
(
i
.GT.
j
)
RETURN
END IF
IF
(
i
.LT.
mat
%
istart
.OR.
i
.GT.
mat
%
iend
)
THEN
WRITE
(
*
,
'(a,2i6)'
)
'UPDT: i, j out of range '
,
i
,
j
WRITE
(
*
,
'(a,2i6)'
)
' istart, iend '
,
mat
%
istart
,
mat
%
iend
STOP
'*** Abnormal EXIT in MODULE mumps_mod ***'
END IF
!
IF
(
ASSOCIATED
(
mat
%
mat
))
THEN
CALL
updtmat
(
mat
%
mat
,
i
,
j
,
val
)
ELSE
CALL
MatSetValue
(
mat
%
AMAT
,
i
-
1
,
j
-
1
,
ADD_VALUES
,
ierr
)
END IF
END SUBROUTINE
updt_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
putele_petsc_mat
(
mat
,
i
,
j
,
val
)
!
! Put element (i,j) of matrix
!
TYPE
(
petsc_mat
)
::
mat
INTEGER
,
INTENT
(
in
)
::
i
,
j
DOUBLE PRECISION
,
INTENT
(
in
)
::
val
INTEGER
::
iput
,
jput
INTEGER
::
ierr
!
iput
=
i
jput
=
j
IF
(
mat
%
nlsym
)
THEN
IF
(
i
.GT.
j
)
THEN
! Lower triangular part
iput
=
j
jput
=
i
END IF
END IF
!
! Do nothing if outside
IF
(
iput
.LT.
mat
%
istart
.OR.
iput
.GT.
mat
%
iend
)
RETURN
!
IF
(
ASSOCIATED
(
mat
%
mat
))
THEN
CALL
putele
(
mat
%
mat
,
iput
,
jput
,
val
,
&
&
nlforce_zero
=
mat
%
nlforce_zero
)
ELSE
CALL
MatSetValue
(
mat
%
AMAT
,
iput
-
1
,
jput
-
1
,
val
,
INSERT_VALUES
,
ierr
)
END IF
END SUBROUTINE
putele_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
getele_petsc_mat
(
mat
,
i
,
j
,
val
)
!
! Get element (i,j) of sparse matrix
!
TYPE
(
petsc_mat
)
::
mat
INTEGER
,
INTENT
(
in
)
::
i
,
j
DOUBLE PRECISION
,
INTENT
(
out
)
::
val
INTEGER
::
iget
,
jget
INTEGER
::
ierr
!
iget
=
i
jget
=
j
IF
(
mat
%
nlsym
)
THEN
IF
(
i
.GT.
j
)
THEN
! Lower triangular part
iget
=
j
jget
=
i
END IF
END IF
!
val
=
0.0
d0
! Assume zero val if outside
IF
(
iget
.LT.
mat
%
istart
.OR.
iget
.GT.
mat
%
iend
)
RETURN
!
IF
(
ASSOCIATED
(
mat
%
mat
))
THEN
CALL
getele
(
mat
%
mat
,
iget
,
jget
,
val
)
ELSE
CALL
MatGetValues
(
mat
%
AMAT
,
1
,
iget
-
1
,
1
,
jget
-
1
,
val
,
ierr
)
END IF
END SUBROUTINE
getele_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
putrow_petsc_mat
(
amat
,
i
,
arr
,
cols
)
!
! Put a row into sparse matrix
!
TYPE
(
petsc_mat
),
INTENT
(
inout
)
::
amat
INTEGER
,
INTENT
(
in
)
::
i
DOUBLE PRECISION
,
INTENT
(
in
)
::
arr
(:)
INTEGER
,
INTENT
(
in
),
OPTIONAL
::
cols
(:)
INTEGER
::
j
!
IF
(
i
.GT.
amat
%
iend
.OR.
i
.LT.
amat
%
istart
)
RETURN
! Do nothing
!
IF
(
PRESENT
(
cols
))
THEN
DO
j
=
1
,
SIZE
(
cols
)
CALL
putele
(
amat
,
i
,
cols
(
j
),
arr
(
j
))
END DO
ELSE
DO
j
=
1
,
amat
%
rank
CALL
putele
(
amat
,
i
,
j
,
arr
(
j
))
END DO
END IF
END SUBROUTINE
putrow_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
getrow_petsc_mat
(
amat
,
i
,
arr
)
!
! Get a row from sparse matrix
!
TYPE
(
petsc_mat
),
INTENT
(
in
)
::
amat
INTEGER
,
INTENT
(
in
)
::
i
DOUBLE PRECISION
,
INTENT
(
out
)
::
arr
(:)
INTEGER
::
j
,
ierr
INTEGER
::
ncols
,
cols
(
amat
%
rank
)
DOUBLE PRECISION
::
vals
(
amat
%
rank
)
!
arr
=
0.0
d0
IF
(
i
.GT.
amat
%
iend
.OR.
i
.LT.
amat
%
istart
)
RETURN
! return 0 if outside
IF
(
ASSOCIATED
(
amat
%
mat
))
THEN
DO
j
=
1
,
amat
%
rank
CALL
getele
(
amat
%
mat
,
i
,
j
,
arr
(
j
))
END DO
ELSE
CALL
MatGetRow
(
amat
%
AMAT
,
i
-
1
,
ncols
,
cols
,
vals
,
ierr
)
! 0-based array
DO
j
=
1
,
ncols
arr
(
cols
(
j
)
+
1
)
=
vals
(
j
)
END DO
CALL
MatRestoreRow
(
amat
%
AMAT
,
i
-
1
,
ncols
,
cols
,
vals
,
ierr
)
END IF
END SUBROUTINE
getrow_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
putcol_petsc_mat
(
amat
,
j
,
arr
)
!
! Put a column into sparse matrix
!
TYPE
(
petsc_mat
),
INTENT
(
inout
)
::
amat
INTEGER
,
INTENT
(
in
)
::
j
DOUBLE PRECISION
,
INTENT
(
in
)
::
arr
(:)
INTEGER
::
i
!
DO
i
=
amat
%
istart
,
amat
%
iend
CALL
putele
(
amat
,
i
,
j
,
arr
(
i
))
END DO
END SUBROUTINE
putcol_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
getcol_petsc_mat
(
amat
,
j
,
arr
)
!
! Get a column from sparse matrix
!
TYPE
(
petsc_mat
),
INTENT
(
in
)
::
amat
INTEGER
,
INTENT
(
in
)
::
j
DOUBLE PRECISION
,
INTENT
(
out
)
::
arr
(:)
INTEGER
::
i
!
arr
=
0.0
d0
DO
i
=
amat
%
istart
,
amat
%
iend
CALL
getele
(
amat
,
i
,
j
,
arr
(
i
))
END DO
END SUBROUTINE
getcol_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
INTEGER
FUNCTION
get_count_petsc_mat
(
mat
,
nnz
)
!
! Number of non-zeros in sparse matrix
!
TYPE
(
petsc_mat
)
::
mat
INTEGER
,
INTENT
(
out
),
OPTIONAL
::
nnz
(:)
INTEGER
::
i
,
ierr
DOUBLE PRECISION
::
info
(
MAT_INFO_SIZE
)
!
IF
(
ASSOCIATED
(
mat
%
mat
))
THEN
get_count_petsc_mat
=
get_count
(
mat
%
mat
,
nnz
)
ELSE
CALL
MatGetInfo
(
mat
%
AMAT
,
MAT_LOCAL
,
info
,
ierr
)
get_count_petsc_mat
=
info
(
MAT_INFO_NZ_ALLOCATED
)
!!$ IF(PRESENT(nnz)) THEN
!!$ DO i=1,mat%rank
!!$ nnz(i) = mat%irow(i+1)-mat%irow(i)
!!$ END DO
!!$ END IF
END IF
END FUNCTION
get_count_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
to_petsc_mat
(
mat
,
nlkeep
)
!
! Convert linked list spmat to petsc matrice structure
!
TYPE
(
petsc_mat
)
::
mat
LOGICAL
,
INTENT
(
in
),
OPTIONAL
::
nlkeep
!
INTEGER
::
me
,
i
,
j
,
jj
,
nnz
,
rank
,
s
,
e
INTEGER
::
istart
,
iend
INTEGER
::
iloc
,
k1
,
k2
,
ncol
INTEGER
::
d_nz
,
d_nnz
(
mat
%
istart
:
mat
%
iend
)
INTEGER
::
o_nz
,
o_nnz
(
mat
%
istart
:
mat
%
iend
)
INTEGER
::
comm
,
ierr
LOGICAL
::
nlclean
!
nlclean
=
.TRUE.
IF
(
PRESENT
(
nlkeep
))
THEN
nlclean
=
.NOT.
nlkeep
END IF
!
comm
=
mat
%
comm
CALL
mpi_comm_rank
(
comm
,
me
,
ierr
)
!
! Allocate the Petsc matrix structure
!
rank
=
mat
%
rank
mat
%
nnz_loc
=
get_count
(
mat
)
istart
=
mat
%
istart
iend
=
mat
%
iend
CALL
mpi_allreduce
(
mat
%
nnz_loc
,
mat
%
nnz
,
1
,
MPI_INTEGER8
,
MPI_SUM
,
comm
,
ierr
)
!
IF
(
ASSOCIATED
(
mat
%
cols
))
DEALLOCATE
(
mat
%
cols
)
IF
(
ASSOCIATED
(
mat
%
irow
))
DEALLOCATE
(
mat
%
irow
)
IF
(
ASSOCIATED
(
mat
%
val
))
DEALLOCATE
(
mat
%
val
)
ALLOCATE
(
mat
%
val
(
mat
%
nnz_loc
))
ALLOCATE
(
mat
%
cols
(
mat
%
nnz_loc
))
ALLOCATE
(
mat
%
irow
(
mat
%
istart
:
mat
%
iend
+
1
))
!
! Get Sparse structure from linked list
!
d_nnz
(:)
=
0
o_nnz
(:)
=
0
mat
%
irow
(
istart
)
=
1
DO
i
=
istart
,
iend
mat
%
irow
(
i
+
1
)
=
mat
%
irow
(
i
)
+
mat
%
mat
%
row
(
i
)%
nnz
s
=
mat
%
irow
(
i
)
e
=
mat
%
irow
(
i
+
1
)
-
1
CALL
getrow
(
mat
%
mat
%
row
(
i
),
mat
%
val
(
s
:
e
),
mat
%
cols
(
s
:
e
))
d_nnz
(
i
)
=
COUNT
(
mat
%
cols
(
s
:
e
)
.GE.
istart
.AND.
&
&
mat
%
cols
(
s
:
e
)
.LE.
iend
)
o_nnz
(
i
)
=
mat
%
mat
%
row
(
i
)%
nnz
-
d_nnz
(
i
)
IF
(
nlclean
)
CALL
destroy
(
mat
%
mat
%
row
(
i
))
END DO
IF
(
nlclean
)
DEALLOCATE
(
mat
%
mat
)
!
! Petsc matrix preallocation
!
CALL
MatMPIAIJSetPreallocation
(
mat
%
AMAT
,
PETSC_NULL_INTEGER
,
&
&
d_nnz
,
PETSC_NULL_INTEGER
,
o_nnz
,
ierr
)
CALL
MatSeqAIJSetPreallocation
(
mat
%
AMAT
,
PETSC_NULL_INTEGER
,
&
&
d_nnz
,
ierr
)
!
! Petsc matrix assembly
!
mat
%
cols
=
mat
%
cols
-
1
! Start column index = 0
DO
i
=
istart
,
iend
iloc
=
i
-
istart
+
1
k1
=
mat
%
irow
(
i
)
k2
=
mat
%
irow
(
i
+
1
)
ncol
=
k2
-
k1
CALL
MatSetValues
(
mat
%
AMAT
,
1
,
i
-
1
,
ncol
,
mat
%
cols
(
k1
:
k2
-
1
),
&
&
mat
%
val
(
k1
:
k2
-
1
),
INSERT_VALUES
,
ierr
)
END DO
!
CALL
MatAssemblyBegin
(
mat
%
AMAT
,
MAT_FINAL_ASSEMBLY
,
ierr
)
CALL
MatAssemblyEnd
(
mat
%
AMAT
,
MAT_FINAL_ASSEMBLY
,
ierr
)
!
DEALLOCATE
(
mat
%
irow
)
DEALLOCATE
(
mat
%
cols
)
DEALLOCATE
(
mat
%
val
)
!
END SUBROUTINE
to_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
save_petsc_mat
(
mat
,
file
)
!
! Save matrix in PETSC binary format
!
TYPE
(
petsc_mat
)
::
mat
CHARACTER
(
len
=*
),
INTENT
(
in
)
::
file
!
INTEGER
::
ierr
PetscViewer
::
viewer
!
CALL
PetscViewerBinaryOpen
(
mat
%
comm
,
TRIM
(
file
),
FILE_MODE_WRITE
,&
&
viewer
,
ierr
)
CALL
MatView
(
mat
%
AMAT
,
viewer
,
ierr
)
CALL
PetscViewerDestroy
(
viewer
,
ierr
)
!
END SUBROUTINE
save_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
load_petsc_mat
(
mat
,
file
)
!
! Load matrix in PETSC binary format
!
TYPE
(
petsc_mat
)
::
mat
CHARACTER
(
len
=*
),
INTENT
(
in
)
::
file
!
INTEGER
::
nloc
,
i
,
npes
,
ierr
PetscViewer
::
viewer
!
CALL
mpi_comm_size
(
mat
%
comm
,
npes
,
ierr
)
!
! Clean up unneeded sparse matrix
!
IF
(
ASSOCIATED
(
mat
%
mat
))
THEN
CALL
destroy
(
mat
%
mat
)
DEALLOCATE
(
mat
%
mat
)
END IF
!
! Load matrix from file
!
CALL
PetscViewerBinaryOpen
(
mat
%
comm
,
TRIM
(
file
),
FILE_MODE_READ
,&
&
viewer
,
ierr
)
CALL
MatLoad
(
mat
%
AMAT
,
viewer
,
ierr
)
CALL
PetscViewerDestroy
(
viewer
,
ierr
)
!
! Some mat info
!
CALL
MatGetSize
(
mat
%
AMAT
,
mat
%
rank
,
PETSC_NULL_INTEGER
,
ierr
)
mat
%
nnz_loc
=
get_count
(
mat
)
CALL
mpi_allreduce
(
mat
%
nnz_loc
,
mat
%
nnz
,
1
,
MPI_INTEGER8
,
MPI_SUM
,
&
&
mat
%
comm
,
ierr
)
!
!
! Recompute matrix partition from loaded matrix
!
CALL
MatGetOwnershipRange
(
mat
%
AMAT
,
mat
%
istart
,
mat
%
iend
,
ierr
)
mat
%
istart
=
mat
%
istart
+
1
! Convert from Petsc definition
nloc
=
mat
%
iend
-
mat
%
istart
+
1
CALL
mpi_allgather
(
nloc
,
1
,
MPI_INTEGER
,
mat
%
rcounts
,
1
,
MPI_INTEGER
,
&
&
mat
%
comm
,
ierr
)
mat
%
rdispls
(
0
)
=
0
DO
i
=
1
,
npes
-
1
mat
%
rdispls
(
i
)
=
mat
%
rdispls
(
i
-
1
)
+
mat
%
rcounts
(
i
-
1
)
END DO
!
END SUBROUTINE
load_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
bsolve_petsc_mat1
(
mat
,
rhs
,
sol
,
rtol_in
,
nitmax_in
,
nits
)
!
! Backsolve, using Petsc
!
TYPE
(
petsc_mat
)
::
mat
DOUBLE PRECISION
,
INTENT
(
inout
)
::
rhs
(:)
DOUBLE PRECISION
,
INTENT
(
out
),
OPTIONAL
::
sol
(:)
DOUBLE PRECISION
,
INTENT
(
in
),
OPTIONAL
::
rtol_in
INTEGER
,
INTENT
(
in
),
OPTIONAL
::
nitmax_in
INTEGER
,
INTENT
(
out
),
OPTIONAL
::
nits
!
DOUBLE PRECISION
::
rtol
=
PETSC_DEFAULT_DOUBLE_PRECISION
INTEGER
::
nitmax
=
PETSC_DEFAULT_INTEGER
INTEGER
::
i
,
istart
,
iend
,
nrank_loc
,
nrank
INTEGER
::
npes
,
me
,
ierr
INTEGER
::
idx
(
mat
%
istart
:
mat
%
iend
)
!
Vec
::
vec_rhs
,
vec_sol
PetscScalar
::
scal
PetscScalar
,
POINTER
::
psol_loc
(:)
KSPConvergedReason
::
reason
!
CALL
mpi_comm_size
(
mat
%
comm
,
npes
,
ierr
)
CALL
mpi_comm_rank
(
mat
%
comm
,
me
,
ierr
)
!
istart
=
mat
%
istart
iend
=
mat
%
iend
nrank_loc
=
iend
-
istart
+
1
nrank
=
mat
%
rank
idx
=
(
/
(
i
,
i
=
istart
,
iend
)
/
)
-
1
! 0-based petsc vector
!
! Create Vectors
!
CALL
VecCreate
(
mat
%
comm
,
vec_rhs
,
ierr
)
CALL
VecSetSizes
(
vec_rhs
,
nrank_loc
,
nrank
,
ierr
)
CALL
VecSetFromOptions
(
vec_rhs
,
ierr
)
CALL
VecDuplicate
(
vec_rhs
,
vec_sol
,
ierr
)
!
! Set solver
!
IF
(
PRESENT
(
rtol_in
))
rtol
=
rtol_in
IF
(
PRESENT
(
nitmax_in
))
nitmax
=
nitmax_in
!
CALL
KSPSetOperators
(
mat
%
SOLVER
,
mat
%
AMAT
,
mat
%
AMAT
,
SAME_PRECONDITIONER
,
ierr
)
CALL
KSPSetTolerances
(
mat
%
SOLVER
,
rtol
,
PETSC_DEFAULT_DOUBLE_PRECISION
,&
&
PETSC_DEFAULT_DOUBLE_PRECISION
,
nitmax
,
ierr
)
CALL
KSPSetFromOptions
(
mat
%
SOLVER
,
ierr
)
!
! Set RHS
!
CALL
VecSetValues
(
vec_rhs
,
nrank_loc
,
idx
,
rhs
(
istart
),
INSERT_VALUES
,
ierr
)
CALL
VecAssemblyBegin
(
vec_rhs
,
ierr
)
CALL
VecAssemblyEnd
(
vec_rhs
,
ierr
)
!
CALL
KSPSolve
(
mat
%
SOLVER
,
vec_rhs
,
vec_sol
,
ierr
)
CALL
KSPGetConvergedReason
(
mat
%
SOLVER
,
reason
,
ierr
)
IF
(
reason
.LT.
0
)
THEN
IF
(
me
.EQ.
0
)
WRITE
(
*
,
'(a,i4)'
)
'BSOLVE: diverges with reason'
,
reason
END IF
IF
(
PRESENT
(
nits
))
THEN
CALL
KSPGetIterationNumber
(
mat
%
SOLVER
,
nits
,
ierr
)
END IF
!
! Get global solutions on all MPI processes
!
CALL
VecGetArrayF90
(
vec_sol
,
psol_loc
,
ierr
)
!
IF
(
PRESENT
(
sol
))
THEN
CALL
mpi_allgatherv
(
psol_loc
,
nrank_loc
,
MPI_DOUBLE_PRECISION
,
&
&
sol
,
mat
%
rcounts
,
mat
%
rdispls
,
MPI_DOUBLE_PRECISION
,
&
&
mat
%
comm
,
ierr
)
ELSE
CALL
mpi_allgatherv
(
psol_loc
,
nrank_loc
,
MPI_DOUBLE_PRECISION
,
&
&
rhs
,
mat
%
rcounts
,
mat
%
rdispls
,
MPI_DOUBLE_PRECISION
,
&
&
mat
%
comm
,
ierr
)
END IF
!
CALL
VecRestoreArrayF90
(
vec_sol
,
psol_loc
,
ierr
)
END SUBROUTINE
bsolve_petsc_mat1
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
bsolve_petsc_matn
(
mat
,
rhs
,
sol
,
rtol_in
,
nitmax_in
,
nits
)
!
! Backsolve, using Petsc, multiple RHS
!
TYPE
(
petsc_mat
)
::
mat
DOUBLE PRECISION
::
rhs
(:,:)
DOUBLE PRECISION
,
OPTIONAL
::
sol
(:,:)
DOUBLE PRECISION
,
INTENT
(
in
),
OPTIONAL
::
rtol_in
INTEGER
,
INTENT
(
in
),
OPTIONAL
::
nitmax_in
INTEGER
,
INTENT
(
out
),
OPTIONAL
::
nits
(:)
!
DOUBLE PRECISION
::
rtol
=
PETSC_DEFAULT_DOUBLE_PRECISION
INTEGER
::
nitmax
=
PETSC_DEFAULT_INTEGER
INTEGER
::
j
,
nrhs
INTEGER
::
i
,
istart
,
iend
,
nrank_loc
,
nrank
INTEGER
::
npes
,
me
,
ierr
INTEGER
::
idx
(
mat
%
istart
:
mat
%
iend
)
!
Vec
::
vec_rhs
,
vec_sol
PetscScalar
::
scal
PetscScalar
,
POINTER
::
psol_loc
(:)
KSPConvergedReason
::
reason
!
CALL
mpi_comm_size
(
mat
%
comm
,
npes
,
ierr
)
CALL
mpi_comm_rank
(
mat
%
comm
,
me
,
ierr
)
!
nrhs
=
SIZE
(
rhs
,
2
)
istart
=
mat
%
istart
iend
=
mat
%
iend
nrank_loc
=
iend
-
istart
+
1
nrank
=
mat
%
rank
idx
=
(
/
(
i
,
i
=
istart
,
iend
)
/
)
-
1
! 0-based petsc vector
!
! Create Vectors
!
CALL
VecCreate
(
mat
%
comm
,
vec_rhs
,
ierr
)
CALL
VecSetSizes
(
vec_rhs
,
nrank_loc
,
nrank
,
ierr
)
CALL
VecSetFromOptions
(
vec_rhs
,
ierr
)
CALL
VecDuplicate
(
vec_rhs
,
vec_sol
,
ierr
)
!
! Set solver
!
IF
(
PRESENT
(
rtol_in
))
rtol
=
rtol_in
IF
(
PRESENT
(
nitmax_in
))
nitmax
=
nitmax_in
!
CALL
KSPSetOperators
(
mat
%
SOLVER
,
mat
%
AMAT
,
mat
%
AMAT
,
SAME_PRECONDITIONER
,
ierr
)
CALL
KSPSetTolerances
(
mat
%
SOLVER
,
rtol
,
PETSC_DEFAULT_DOUBLE_PRECISION
,&
&
PETSC_DEFAULT_DOUBLE_PRECISION
,
nitmax
,
ierr
)
CALL
KSPSetFromOptions
(
mat
%
SOLVER
,
ierr
)
!
! Set RHS
!
DO
j
=
1
,
nrhs
CALL
VecSetValues
(
vec_rhs
,
nrank_loc
,
idx
,
rhs
(
istart
,
j
),
INSERT_VALUES
,
ierr
)
CALL
VecAssemblyBegin
(
vec_rhs
,
ierr
)
CALL
VecAssemblyEnd
(
vec_rhs
,
ierr
)
!
CALL
KSPSolve
(
mat
%
SOLVER
,
vec_rhs
,
vec_sol
,
ierr
)
CALL
KSPGetConvergedReason
(
mat
%
SOLVER
,
reason
,
ierr
)
IF
(
reason
.LT.
0
)
THEN
IF
(
me
.EQ.
0
)
THEN
WRITE
(
*
,
'(a,i4,a,i8)'
)
'BSOLVE: diverges with reason'
,
reason
,
&
&
' for j ='
,
j
END IF
END IF
IF
(
PRESENT
(
nits
))
THEN
CALL
KSPGetIterationNumber
(
mat
%
SOLVER
,
nits
(
j
),
ierr
)
END IF
!
! Get global solutions on all MPI processes
!
CALL
VecGetArrayF90
(
vec_sol
,
psol_loc
,
ierr
)
!
IF
(
PRESENT
(
sol
))
THEN
CALL
mpi_allgatherv
(
psol_loc
,
nrank_loc
,
MPI_DOUBLE_PRECISION
,
&
&
sol
(
1
,
j
),
mat
%
rcounts
,
mat
%
rdispls
,
MPI_DOUBLE_PRECISION
,
&
&
mat
%
comm
,
ierr
)
ELSE
CALL
mpi_allgatherv
(
psol_loc
,
nrank_loc
,
MPI_DOUBLE_PRECISION
,
&
&
rhs
(
1
,
j
),
mat
%
rcounts
,
mat
%
rdispls
,
MPI_DOUBLE_PRECISION
,
&
&
mat
%
comm
,
ierr
)
END IF
!
CALL
VecRestoreArrayF90
(
vec_sol
,
psol_loc
,
ierr
)
END DO
!
END SUBROUTINE
bsolve_petsc_matn
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
FUNCTION
vmx_petsc_mat
(
mat
,
xarr
)
RESULT
(
yarr
)
!
! Return product mat*x
!
TYPE
(
petsc_mat
)
::
mat
DOUBLE PRECISION
,
INTENT
(
in
)
::
xarr
(:)
DOUBLE PRECISION
::
yarr
(
SIZE
(
xarr
))
DOUBLE PRECISION
::
alpha
=
1.0
d0
,
beta
=
0.0
d0
CHARACTER
(
len
=
6
)
::
matdescra
INTEGER
::
n
,
i
,
j
!
n
=
mat
%
rank
!
#
ifdef
MKL
IF
(
mat
%
nlsym
)
THEN
matdescra
=
'sun'
ELSE
matdescra
=
'g'
END IF
!
CALL
mkl_dcsrmv
(
'N'
,
n
,
n
,
alpha
,
matdescra
,
mat
%
val
,
&
&
mat
%
cols
,
mat
%
irow
(
1
),
mat
%
irow
(
2
),
xarr
,
&
&
beta
,
yarr
)
#
else
yarr
=
0.0
d0
DO
i
=
1
,
n
DO
j
=
mat
%
irow
(
i
),
mat
%
irow
(
i
+
1
)
-
1
yarr
(
i
)
=
yarr
(
i
)
+
mat
%
val
(
j
)
*
xarr
(
mat
%
cols
(
j
))
END DO
IF
(
mat
%
nlsym
)
THEN
DO
j
=
mat
%
irow
(
i
)
+
1
,
mat
%
irow
(
i
+
1
)
-
1
yarr
(
mat
%
cols
(
j
))
=
yarr
(
mat
%
cols
(
j
))
&
&
+
mat
%
val
(
j
)
*
xarr
(
i
)
END DO
END IF
END DO
#
endif
!
END FUNCTION
vmx_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
FUNCTION
vmx_petsc_matn
(
mat
,
xarr
)
RESULT
(
yarr
)
!
! Return product mat*x
!
TYPE
(
petsc_mat
)
::
mat
DOUBLE PRECISION
,
INTENT
(
in
)
::
xarr
(:,:)
DOUBLE PRECISION
::
yarr
(
SIZE
(
xarr
,
1
),
SIZE
(
xarr
,
2
))
!
DOUBLE PRECISION
::
alpha
=
1.0
d0
,
beta
=
0.0
d0
INTEGER
::
n
,
nrhs
,
i
,
j
CHARACTER
(
len
=
6
)
::
matdescra
!
n
=
mat
%
rank
nrhs
=
SIZE
(
xarr
,
2
)
!
#
ifdef
MKL
IF
(
mat
%
nlsym
)
THEN
matdescra
=
'sun'
ELSE
matdescra
=
'g'
END IF
!
CALL
mkl_dcsrmm
(
'N'
,
n
,
nrhs
,
n
,
alpha
,
matdescra
,
mat
%
val
,&
&
mat
%
cols
,
mat
%
irow
(
1
),
mat
%
irow
(
2
),
xarr
,
&
&
n
,
beta
,
yarr
,
n
)
#
else
yarr
=
0.0
d0
DO
i
=
1
,
n
DO
j
=
mat
%
irow
(
i
),
mat
%
irow
(
i
+
1
)
-
1
yarr
(
i
,:)
=
yarr
(
i
,:)
+
mat
%
val
(
j
)
*
xarr
(
mat
%
cols
(
j
),:)
END DO
IF
(
mat
%
nlsym
)
THEN
DO
j
=
mat
%
irow
(
i
)
+
1
,
mat
%
irow
(
i
+
1
)
-
1
yarr
(
mat
%
cols
(
j
),:)
=
yarr
(
mat
%
cols
(
j
),:)
&
&
+
mat
%
val
(
j
)
*
xarr
(
i
,:)
END DO
END IF
END DO
#
endif
!
END FUNCTION
vmx_petsc_matn
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
destroy_petsc_mat
(
mat
)
!
! Deallocate the sparse matrix mat
!
TYPE
(
petsc_mat
)
::
mat
INTEGER
::
ierr
!
IF
(
ASSOCIATED
(
mat
%
mat
))
THEN
CALL
destroy
(
mat
%
mat
)
DEALLOCATE
(
mat
%
mat
)
END IF
!
IF
(
ASSOCIATED
(
mat
%
cols
))
DEALLOCATE
(
mat
%
cols
)
IF
(
ASSOCIATED
(
mat
%
irow
))
DEALLOCATE
(
mat
%
irow
)
IF
(
ASSOCIATED
(
mat
%
val
))
DEALLOCATE
(
mat
%
val
)
!
CALL
MatDestroy
(
mat
%
AMAT
,
ierr
)
END SUBROUTINE
destroy_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
mcopy_petsc_mat
(
mata
,
matb
)
!
! Matrix copy: B = A
!
TYPE
(
petsc_mat
)
::
mata
,
matb
INTEGER
::
ierr
!
! Assume that matb was already initialized by init_petsc_mat.
IF
(
matb
%
rank
.LE.
0
)
THEN
WRITE
(
*
,
'(a)'
)
'MCOPY: Mat B is not initialized with INIT'
STOP
'*** Abnormal EXIT in MODULE petsc_mod ***'
END IF
!
IF
(
ASSOCIATED
(
matb
%
mat
))
THEN
CALL
destroy
(
matb
%
mat
)
DEALLOCATE
(
matb
%
mat
)
END IF
!
matb
%
rank
=
mata
%
rank
matb
%
nnz
=
mata
%
nnz
matb
%
nnz_loc
=
mata
%
nnz_loc
matb
%
istart
=
mata
%
istart
matb
%
iend
=
mata
%
iend
matb
%
nlsym
=
mata
%
nlsym
matb
%
nlforce_zero
=
mata
%
nlforce_zero
!
IF
(
ASSOCIATED
(
matb
%
mat
))
THEN
CALL
destroy
(
matb
%
mat
)
DEALLOCATE
(
matb
%
mat
)
END IF
!
! Destroy existing PETSC matrix and recreate a new one from scratch
!
CALL
MatDestroy
(
matb
%
AMAT
,
ierr
)
CALL
MatConvert
(
mata
%
AMAT
,
MATSAME
,
MAT_INITIAL_MATRIX
,
matb
%
AMAT
,
ierr
)
END SUBROUTINE
mcopy_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
SUBROUTINE
maddto_petsc_mat
(
mata
,
alpha
,
matb
)
!
! A <- A + alpha*B
!
TYPE
(
petsc_mat
)
::
mata
,
matb
DOUBLE PRECISION
::
alpha
!
mata
%
val
=
mata
%
val
+
alpha
*
matb
%
val
END SUBROUTINE
maddto_petsc_mat
!++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
!
END MODULE
petsc_bsplines
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