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wwm_parall_solver.F90
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#include "wwm_functions.h"
! I5 is under the assumptions that we have a lot of memory
! and tries to minimize the number of MPI exchanges and
! to have the processors be as busy as possible
! We use memory ordered as AC(MNP,NUMSIG,NUMDIR)
! I5B is the same as I5. We use memory ordered as AC(NUMSIG,NUMDIR,MNP)
! so reordering at the beginning but less operations later on.
#undef DEBUG
!#define DEBUG
! This is for the reordering of ASPAR_pc and hopefully higher speed
! in the application of the preconditioner.
#undef REORDER_ASPAR_PC
#define REORDER_ASPAR_PC
! This is for the computation of ASPAR_block by a block algorithm
! with hopefully higher speed.
#undef ASPAR_B_COMPUTE_BLOCK
#define ASPAR_B_COMPUTE_BLOCK
! Either we use the SCHISM exchange routine or ours that exchanges only
! the ghost nodes and not the interface nodes.
#undef NO_SELFE_EXCH
#define NO_SELFE_EXCH
! Repeated CX/CY computations but less memory used.
#undef NO_MEMORY_CX_CY
#define NO_MEMORY_CX_CY
! For the SOR preconditioner, we can actually compute directly
! from the matrix since it is so simple.
#undef SOR_DIRECT
#define SOR_DIRECT
!
#undef SINGLE_LOOP_AMATRIX
#define SINGLE_LOOP_AMATRIX
!
! More complexity! Some options excludes other!
!
#if defined REORDER_ASPAR_PC && defined SOR_DIRECT
# undef REORDER_ASPAR_PC
#endif
!**********************************************************************
!* We have to think on how the system is solved. Many questions are *
!* mixed: the ordering of the nodes, the ghost nodes, the aspar array *
!* Here is a repository of the conclusions that have been reached *
!* *
!* Ordering 1> should be that way: We have two global nodes i and j. *
!* -- If i and j belong to a common local grid, then we select the *
!* grid of lowest color and decide whether ipgl(i) < ipgl(j) *
!* -- If i and j belong to two different grid then *
!* ---If Color(i) < Color(j) or reverse we decide by that *
!* ---If Color(i) = Color(j) we decide by i<j or not (but it *
!* does not matter to the solution) *
!* The functions WRITE_EXPLICIT_ORDERING does exactly that and *
!* provides an ordering that can be used. That is we start with the *
!* nodes of lowest color and index until we arrive at highest color *
!* *
!* The ASPAR is computed correctly only on 1:NP_RES but this can be *
!* extended by exchange routines. *
!* We Compute on the resident nodes only. This means loops over *
!* IP=1,NP_RES and backwards. This means that we do not have to do *
!* exchanges of ASPAR values. Only the resident nodes are sent. *
!* This is smaller and this is all that we ever need. *
!* *
!* WRONG APPROACHES: *
!* to use all nodes 1:MNP may look simpler but it forces to have the *
!* following property of the NNZ, IA, JA arrays. If two vertices *
!* i and j are adjacent in a grid G, then they are adjacent in ANY *
!* of the grid in which they are both contained. *
!* This property is actually not satisfied in general. *
!* We could extend the IA, JA arrays by *
!* adding some vertices but that looks quite hazardous idea and it *
!* it is actually not needed by the ILU0 preconditioner and other *
!* *
!* PROBLEM: *
!* There is an asymmetry in the construction of the ordering. *
!* We start from low colors and upwards. If we had started with *
!* high colors and gone downwards, then we get a different ordering *
!* (even if we take the opposite, because of the interface nodes) *
!* This requires the construction of many mappings. *
!* Our approach is actually to rebuild separate node sets. *
!* *
!* CHECKS: *
!* ---The sum of number of non-zero entries in Jstatus_L over all *
!* nodes should be equal to the sum of number of non-zero entries *
!* of Jstatus_U over all nodes. *
!* This is because number of upper diagonal entries should be *
!* equal to number of lower diagonal entries. *
!* ---We CANNOT have Jstatus_L(J)=1 and Jstatus_U(J)=1, i.e. a matrix *
!* entry cannot be both lower and upper. *
!* ---We have sum of Jstatus_L + sum J_status_U + np_global should *
!* be equal to NNZ_global *
!* *
!* So, procedure is as follows: *
!* ---compute ASPAR on 1,NP_RES nodes and no synchronization *
!* ---compute on IP=1,NP_RES for L solving *
!* ---export to grids of higher rank, the values on nodes 1,NP_RES *
!* only. The other ghost points have invalid values or are *
!* resident of other grids of lower rank. (at this stage, some *
!* ghost values are wrong but are not exported) *
!* ---export to grid of lower rank in order to correct their ghost *
!* values and get the value *
!* ---compute on IP=NP_RES,1,-1 for U solving *
!* ---export to grid of lower rank. *
!* Do everything similarly to L solve. *
!* *
!* The basic approach is that we compute at a node S if and only if *
!* it is a resident node. The twist come because some nodes are *
!* resident for TWO domains. This is why we have the CovLower *
!* We need to create disjoint domains for each node, so that *
!* we have sum sum(CovLower) = np_global *
!* *
!* At the end of the resolution of the system, we need to do the *
!* synchronization with respect to the unused nodes. *
!* Mystery?: When we apply the function, we do it on 1:NP_RES and *
!* then call synchronizer. So, this means we need to do the *
!* synchronization after the call to the preconditioner. *
!* But there may be space for improvements here. *
!* *
!* Description of specific exchange arrays: *
!* ---wwm_p2dsend_type/wwm_p2drecv_type *
!* The points of 1:NP_RES are sent to nodes that contained them *
!* length=1 *
!* ---wwmtot_p2dsend_type/wwmtot_p2drecv_type *
!* same as above but length=NUMSIG*NUMDIR *
!* ---blk_p2dsend_type/blk_p2drecv_type *
!* same as above but length=maxBlockLength for matrix exchanges *
!* ---wwmmat_p2dsend_type/wwmmat_p2drecv_type *
!* exchange of correct matrix elements, i.e. elements A(I,J) *
!* with I<=NP_RES *
!* length is 1. *
!* ---u2l_p2dsend_type/u2l_p2drecv_type *
!* upper 2 lower exchange arrays, depends on CovLower, so on *
!* the coloring chosen. length=maxBlockLength *
!* exchange are from upper to lower. *
!* ---sync_p2dsend_type/sync_p2drecv_type *
!* synchronize value, i.e. the CovLower=1 values are send to all *
!* nodes. Length is NUMSIG*NUMDIR *
!**********************************************************************
#if defined WWM_SOLVER && defined MPI_PARALL_GRID
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE I5B_EXCHANGE_P4D_WWM(LocalColor, AC)
USE DATAPOOL
implicit none
type(LocalColorInfo), intent(in) :: LocalColor
real(rkind), intent(inout) :: AC(NUMSIG,NUMDIR,MNP)
integer iSync, iRank
integer IS, ID, IP
real(rkind) SumErr, Lerror
real(rkind) :: ACtest(NUMSIG,NUMDIR,MNP)
real(rkind) :: U1(MNP), U2(MNP)
CALL I5B_TOTAL_COHERENCY_ERROR_NPRES(NUMSIG, AC, Lerror)
! Print *, 'NP_RES cohenrency error=', Lerror
#ifdef DEBUG
WRITE(740+myrank,*) 'I5B_EXCHANGE_P4D_WWM, begin, sum(AC)=', sum(AC)
FLUSH(740+myrank)
#endif
ACtest=AC
SumErr=ZERO
DO IS=1,NUMSIG
DO ID=1,NUMDIR
U1=AC(IS,ID,:)
U2=AC(IS,ID,:)
DO iSync=1,wwm_nnbr_send
iRank=wwm_ListNeigh_send(iSync)
CALL mpi_isend(U1, 1, wwm_p2dsend_type(iSync), iRank-1, 1020, comm, wwm_p2dsend_rqst(iSync), ierr)
END DO
DO iSync=1,wwm_nnbr_recv
iRank=wwm_ListNeigh_recv(iSync)
call mpi_irecv(U2,1,wwm_p2drecv_type(iSync),iRank-1,1020,comm,wwm_p2drecv_rqst(iSync),ierr)
END DO
IF (wwm_nnbr_send > 0) THEN
call mpi_waitall(wwm_nnbr_send, wwm_p2dsend_rqst, wwm_p2dsend_stat,ierr)
END IF
IF (wwm_nnbr_recv > 0) THEN
call mpi_waitall(wwm_nnbr_recv, wwm_p2drecv_rqst, wwm_p2drecv_stat,ierr)
END IF
DO IP=1,NP_RES
SumErr=SumErr + abs(U1(IP) - U2(IP))
END DO
END DO
END DO
#ifdef DEBUG
WRITE(740+myrank,*) 'Total SumErr=', SumErr
FLUSH(740+myrank)
#endif
DO iSync=1,wwm_nnbr_send
iRank=wwm_ListNeigh_send(iSync)
CALL mpi_isend(ACtest, 1, wwmtot_p2dsend_type(iSync), iRank-1, 1020, comm, wwm_p2dsend_rqst(iSync), ierr)
END DO
DO iSync=1,wwm_nnbr_recv
iRank=wwm_ListNeigh_recv(iSync)
call mpi_irecv(AC,1,wwmtot_p2drecv_type(iSync),iRank-1,1020,comm,wwm_p2drecv_rqst(iSync),ierr)
END DO
IF (wwm_nnbr_send > 0) THEN
call mpi_waitall(wwm_nnbr_send, wwm_p2dsend_rqst, wwm_p2dsend_stat,ierr)
END IF
IF (wwm_nnbr_recv > 0) THEN
call mpi_waitall(wwm_nnbr_recv, wwm_p2drecv_rqst, wwm_p2drecv_stat,ierr)
END IF
SumErr=ZERO
DO IS=1,NUMSIG
DO ID=1,NUMDIR
DO IP=1,NP_RES
SumErr=SumErr + abs(AC(IS,ID,IP) - ACtest(IS,ID,IP))
END DO
END DO
END DO
#ifdef DEBUG
WRITE(740+myrank,*) 'SumErr=', SumErr
FLUSH(740+myrank)
#endif
#ifdef DEBUG
WRITE(740+myrank,*) 'I5B_EXCHANGE_P4D_WWM, end, sum(AC)=', sum(AC)
FLUSH(740+myrank)
#endif
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE I5B_EXCHANGE_SL_WWM(LocalColor, AC)
USE datapool
implicit none
type(LocalColorInfo), intent(in) :: LocalColor
real(rkind), intent(inout) :: AC(NUMSIG,NUMDIR,MNP)
integer iSync, iRank
DO iSync=1,wwm_nnbr_send_sl
iRank=wwm_ListNeigh_send(iSync)
CALL mpi_isend(AC, 1, wwmsl_send_type(iSync), iRank-1, 1020, comm, wwmsl_send_rqst(iSync), ierr)
END DO
DO iSync=1,wwm_nnbr_recv_sl
iRank=wwm_ListNeigh_recv_sl(iSync)
call mpi_irecv(AC,1,wwmsl_recv_type(iSync),iRank-1,1020,comm,wwmsl_recv_rqst(iSync),ierr)
END DO
IF (wwm_nnbr_send_sl > 0) THEN
call mpi_waitall(wwm_nnbr_send_sl, wwmsl_send_rqst, wwmsl_send_stat,ierr)
END IF
IF (wwm_nnbr_recv_sl > 0) THEN
call mpi_waitall(wwm_nnbr_recv_sl, wwmsl_recv_rqst, wwmsl_recv_stat,ierr)
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE I5B_EXCHANGE_ASPAR(LocalColor, ASPAR_bl)
use datapool
implicit none
type(LocalColorInfo), intent(in) :: LocalColor
real(rkind), intent(inout) :: ASPAR_bl(NUMSIG,NUMDIR,NNZ)
integer I, iProc
do I=1,wwm_nnbr_m_send
iProc=wwm_ListNeigh_m_send(I)
call mpi_isend(ASPAR_bl,1,wwmmat_p2dsend_type(I),iProc,991,comm,wwmmat_p2dsend_rqst(i),ierr)
enddo
do I=1,wwm_nnbr_m_recv
iProc=wwm_ListNeigh_m_recv(I)
call mpi_irecv(ASPAR_bl,1,wwmmat_p2drecv_type(I),iProc,991,comm,wwmmat_p2drecv_rqst(i),ierr)
enddo
IF (wwm_nnbr_m_recv .gt. 0) THEN
call mpi_waitall(wwm_nnbr_m_recv,wwmmat_p2drecv_rqst,wwmmat_p2drecv_stat,ierr)
END IF
IF (wwm_nnbr_m_send .gt. 0) THEN
call mpi_waitall(wwm_nnbr_m_send,wwmmat_p2dsend_rqst,wwmmat_p2dsend_stat,ierr)
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COLLECT_ALL_COVLOWER(LocalColor)
USE DATAPOOL
implicit none
type(LocalColorInfo), intent(inout) :: LocalColor
integer, allocatable :: rbuf_int(:)
integer len, iProc, IP, idx, sumMNP
sumMNP=sum(ListMNP)
allocate(LocalColor % ListCovLower(sumMNP), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 18')
IF (myrank == 0) THEN
idx=0
DO IP=1,MNP
idx=idx+1
LocalColor % ListCovLower(idx)=LocalColor % CovLower(IP)
END DO
DO iProc=2,nproc
len=ListMNP(iProc)
allocate(rbuf_int(len), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 19')
CALL MPI_RECV(rbuf_int,len,itype, iProc-1, 809, comm, istatus, ierr)
DO IP=1,len
idx=idx+1
LocalColor % ListCovLower(idx)=rbuf_int(IP)
END DO
deallocate(rbuf_int)
END DO
DO iProc=2,nproc
CALL MPI_SEND(LocalColor % ListCovLower,sumMNP,itype, iProc-1, 811, comm, ierr)
END DO
ELSE
CALL MPI_SEND(LocalColor % CovLower,MNP,itype, 0, 809, comm, ierr)
CALL MPI_RECV(LocalColor % ListCovLower,sumMNP,itype, 0, 811, comm, istatus, ierr)
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE CREATE_WWM_P2D_EXCH
USE DATAPOOL
implicit none
integer :: ListFirst(nproc)
integer :: ListCommon_recv(nproc)
integer :: ListCommon_send(nproc)
integer :: ListMapped(np_global)
integer :: ListMappedB(np_global)
integer, allocatable :: dspl_send(:), dspl_recv(:)
integer, allocatable :: dspl_send_tot(:), dspl_recv_tot(:)
integer IP, IP_glob, iProc, MNPloc, idx, NP_RESloc
integer iNeigh, IPmap, nbCommon
integer nbCommon_send, nbCommon_recv, idx_send, idx_recv
integer nbCommon_send_sl, nbCommon_recv_sl
integer sumNbCommon_send, sumNbCommon_recv
integer idxDspl_send, idxDspl_recv
ListFirst=0
DO iProc=2,nproc
ListFirst(iProc)=ListFirst(iProc-1) + ListMNP(iProc-1)
END DO
!
! First the arrays so that coordinates 1:NP_RES got send
! to all nodes 1:MNP of neighboring components
!
ListMapped=0
DO IP=1,MNP
IP_glob=iplg(IP)
ListMapped(IP_glob)=IP
END DO
wwm_nnbr_send=0
wwm_nnbr_recv=0
ListCommon_send=0
ListCommon_recv=0
DO iProc=1,nproc
IF (iPROC .ne. myrank+1) THEN
MNPloc=ListMNP(iProc)
NP_RESloc=ListNP_RES(iProc)
ListMappedB=0
DO IP=1,MNPloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
ListMappedB(IP_glob)=IP
END DO
!
nbCommon_recv=0
DO IP=1,NP_RESloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
IF (ListMapped(IP_glob).gt.0) THEN
nbCommon_recv=nbCommon_recv+1
END IF
END DO
IF (nbCommon_recv .gt. 0) THEN
wwm_nnbr_recv=wwm_nnbr_recv+1
ListCommon_recv(iProc)=nbCommon_recv
END IF
!
nbCommon_send=0
DO IP=1,NP_RES
IP_glob=iplg(IP)
IF (ListMappedB(IP_glob).gt.0) THEN
nbCommon_send=nbCommon_send+1
END IF
END DO
IF (nbCommon_send .gt. 0) THEN
wwm_nnbr_send=wwm_nnbr_send+1
ListCommon_send(iProc)=nbCommon_send
END IF
END IF
END DO
allocate(wwm_ListNbCommon_send(wwm_nnbr_send), wwm_ListNbCommon_recv(wwm_nnbr_recv), wwm_ListNeigh_send(wwm_nnbr_send), wwm_ListNeigh_recv(wwm_nnbr_recv), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 27')
idx_send=0
idx_recv=0
sumNbCommon_send=0
sumNbCommon_recv=0
DO iProc=1,nproc
IF (ListCommon_send(iProc) .gt. 0) THEN
idx_send=idx_send+1
wwm_ListNeigh_send(idx_send)=iProc
nbCommon=ListCommon_send(iProc)
wwm_ListNbCommon_send(idx_send)=nbCommon
sumNbCommon_send=sumNbCommon_send+nbCommon
END IF
IF (ListCommon_recv(iProc) .gt. 0) THEN
idx_recv=idx_recv+1
wwm_ListNeigh_recv(idx_recv)=iProc
nbCommon=ListCommon_recv(iProc)
wwm_ListNbCommon_recv(idx_recv)=nbCommon
sumNbCommon_recv=sumNbCommon_recv+nbCommon
END IF
END DO
allocate(wwm_ListDspl_send(sumNbCommon_send), wwm_ListDspl_recv(sumNbCommon_recv), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 28')
wwm_nnbr=0
DO iProc=1,nproc
IF ((ListCommon_send(iProc).gt.0).or.(ListCommon_recv(iProc).gt.0)) THEN
wwm_nnbr=wwm_nnbr+1
END IF
END DO
allocate(wwm_ListNeigh(wwm_nnbr), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 29')
idx=0
DO iProc=1,nproc
IF ((ListCommon_send(iProc).gt.0).or.(ListCommon_recv(iProc).gt.0)) THEN
idx=idx+1
wwm_ListNeigh(idx)=iProc
END IF
END DO
allocate(wwm_p2dsend_rqst(wwm_nnbr_send), wwm_p2drecv_rqst(wwm_nnbr_recv), &
&wwm_p2dsend_stat(MPI_STATUS_SIZE,wwm_nnbr_send), wwm_p2drecv_stat(MPI_STATUS_SIZE,wwm_nnbr_recv), &
&wwm_p2dsend_type(wwm_nnbr_send), wwm_p2drecv_type(wwm_nnbr_recv), &
&wwmtot_p2dsend_type(wwm_nnbr_send), wwmtot_p2drecv_type(wwm_nnbr_recv), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 30')
idxDspl_send=0
DO iNeigh=1,wwm_nnbr_send
iProc=wwm_ListNeigh_send(iNeigh)
MNPloc=ListMNP(iProc)
NP_RESloc=ListNP_RES(iProc)
ListMappedB=0
DO IP=1,MNPloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
ListMappedB(IP_glob)=IP
END DO
nbCommon=wwm_ListNbCommon_send(iNeigh)
allocate(dspl_send(nbCommon), dspl_send_tot(nbCommon), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 31')
idx=0
DO IP=1,NP_RES
IP_glob=iplg(IP)
IF (ListMappedB(IP_glob).gt.0) THEN
IPmap=ListMappedB(IP_glob)
idx=idx+1
dspl_send(idx)=IP-1
dspl_send_tot(idx)=NUMSIG*NUMDIR*(IP-1)
idxDspl_send=idxDspl_send+1
wwm_ListDspl_send(idxDspl_send)=IP
END IF
END DO
call mpi_type_create_indexed_block(nbCommon,1,dspl_send,rtype,wwm_p2dsend_type(iNeigh), ierr)
call mpi_type_commit(wwm_p2dsend_type(iNeigh), ierr)
call mpi_type_create_indexed_block(nbCommon,NUMSIG*NUMDIR,dspl_send_tot,rtype,wwmtot_p2dsend_type(iNeigh), ierr)
call mpi_type_commit(wwmtot_p2dsend_type(iNeigh), ierr)
deallocate(dspl_send, dspl_send_tot)
END DO
idxDspl_recv=0
DO iNeigh=1,wwm_nnbr_recv
iProc=wwm_ListNeigh_recv(iNeigh)
MNPloc=ListMNP(iProc)
NP_RESloc=ListNP_RES(iProc)
nbCommon=wwm_ListNbCommon_recv(iNeigh)
allocate(dspl_recv(nbCommon), dspl_recv_tot(nbCommon), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 32')
idx=0
DO IP=1,NP_RESloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
IF (ListMapped(IP_glob).gt.0) THEN
IPmap=ListMapped(IP_glob)
idx=idx+1
dspl_recv(idx)=IPmap-1
dspl_recv_tot(idx)=NUMSIG*NUMDIR*(IPmap-1)
idxDspl_recv=idxDspl_recv+1
wwm_ListDspl_recv(idxDspl_recv)=IPmap
#ifdef DEBUG
WRITE(800+myrank,*) 'Recv IP=', IPmap, 'IPglob=', IP_glob
FLUSH(800+myrank)
#endif
END IF
END DO
!
call mpi_type_create_indexed_block(nbCommon,1,dspl_recv,rtype,wwm_p2drecv_type(iNeigh),ierr)
call mpi_type_commit(wwm_p2drecv_type(iNeigh), ierr)
call mpi_type_create_indexed_block(nbCommon,NUMSIG*NUMDIR,dspl_recv_tot,rtype,wwmtot_p2drecv_type(iNeigh),ierr)
call mpi_type_commit(wwmtot_p2drecv_type(iNeigh), ierr)
deallocate(dspl_recv, dspl_recv_tot)
END DO
!
! First the arrays so that coordinates 1:NP_RES got send
! to all nodes NP_RES+1:MNP of neighboring components
! "sl" : "super local"
!
ListMapped=0
DO IP=NP_RES+1,MNP
IP_glob=iplg(IP)
ListMapped(IP_glob)=IP
END DO
wwm_nnbr_send_sl=0
wwm_nnbr_recv_sl=0
ListCommon_send=0
ListCommon_recv=0
DO iNeigh=1,wwm_nnbr
iProc=wwm_ListNeigh(iNeigh)
MNPloc=ListMNP(iProc)
NP_RESloc=ListNP_RES(iProc)
ListMappedB=0
DO IP=NP_RESloc+1,MNPloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
ListMappedB(IP_glob)=IP
END DO
!
nbCommon_recv_sl=0
DO IP=1,NP_RESloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
IF (ListMapped(IP_glob).gt.0) THEN
nbCommon_recv_sl=nbCommon_recv_sl+1
END IF
END DO
IF (nbCommon_recv_sl .gt. 0) THEN
wwm_nnbr_recv_sl=wwm_nnbr_recv_sl+1
ListCommon_recv(iProc)=nbCommon_recv_sl
END IF
!
nbCommon_send_sl=0
DO IP=1,NP_RES
IP_glob=iplg(IP)
IF (ListMappedB(IP_glob).gt.0) THEN
nbCommon_send_sl=nbCommon_send_sl+1
END IF
END DO
IF (nbCommon_send_sl .gt. 0) THEN
wwm_nnbr_send_sl=wwm_nnbr_send_sl+1
ListCommon_send(iProc)=nbCommon_send_sl
END IF
END DO
allocate(wwm_ListNbCommon_send_sl(wwm_nnbr_send_sl), wwm_ListNbCommon_recv_sl(wwm_nnbr_recv_sl), wwm_ListNeigh_send_sl(wwm_nnbr_send_sl), wwm_ListNeigh_recv_sl(wwm_nnbr_recv_sl), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 33')
idx_send=0
idx_recv=0
DO iProc=1,nproc
nbCommon=ListCommon_send(iProc)
IF (nbCommon .gt. 0) THEN
idx_send=idx_send+1
wwm_ListNeigh_send_sl(idx_send)=iProc
wwm_ListNbCommon_send_sl(idx_send)=nbCommon
END IF
nbCommon=ListCommon_recv(iProc)
IF (nbCommon .gt. 0) THEN
idx_recv=idx_recv+1
wwm_ListNeigh_recv_sl(idx_recv)=iProc
wwm_ListNbCommon_recv_sl(idx_recv)=nbCommon
END IF
END DO
allocate(wwmsl_send_rqst(wwm_nnbr_send_sl), wwmsl_recv_rqst(wwm_nnbr_recv_sl), &
&wwmsl_send_stat(MPI_STATUS_SIZE,wwm_nnbr_send_sl), wwmsl_recv_stat(MPI_STATUS_SIZE,wwm_nnbr_recv_sl), &
&wwmsl_send_type(wwm_nnbr_send_sl), wwmsl_recv_type(wwm_nnbr_recv_sl), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 35')
idxDspl_send=0
DO iNeigh=1,wwm_nnbr_send_sl
iProc=wwm_ListNeigh_send_sl(iNeigh)
MNPloc=ListMNP(iProc)
NP_RESloc=ListNP_RES(iProc)
ListMappedB=0
DO IP=NP_RESloc+1,MNPloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
ListMappedB(IP_glob)=IP
END DO
nbCommon=wwm_ListNbCommon_send_sl(iNeigh)
allocate(dspl_send(nbCommon), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 36')
idx=0
DO IP=1,NP_RES
IP_glob=iplg(IP)
IF (ListMappedB(IP_glob).gt.0) THEN
IPmap=ListMappedB(IP_glob)
idx=idx+1
dspl_send(idx)=NUMSIG*NUMDIR*(IP-1)
END IF
END DO
call mpi_type_create_indexed_block(nbCommon,NUMSIG*NUMDIR,dspl_send,rtype,wwmsl_send_type(iNeigh), ierr)
call mpi_type_commit(wwmsl_send_type(iNeigh), ierr)
deallocate(dspl_send)
END DO
idxDspl_recv=0
DO iNeigh=1,wwm_nnbr_recv_sl
iProc=wwm_ListNeigh_recv_sl(iNeigh)
MNPloc=ListMNP(iProc)
NP_RESloc=ListNP_RES(iProc)
nbCommon=wwm_ListNbCommon_recv_sl(iNeigh)
allocate(dspl_recv(nbCommon), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 37')
idx=0
DO IP=1,NP_RESloc
IP_glob=ListIPLG(IP+ListFirst(iProc))
IF (ListMapped(IP_glob).gt.0) THEN
IPmap=ListMapped(IP_glob)
idx=idx+1
dspl_recv(idx)=NUMSIG*NUMDIR*(IPmap-1)
END IF
END DO
call mpi_type_create_indexed_block(nbCommon,NUMSIG*NUMDIR,dspl_recv,rtype,wwmsl_recv_type(iNeigh),ierr)
call mpi_type_commit(wwmsl_recv_type(iNeigh), ierr)
deallocate(dspl_recv)
END DO
END SUBROUTINE
!**********************************************************************
!* This subroutine creates array for exchanging matrix entries *
!* Process cannot get all the matrix entries right, and so they need *
!* to exchange data. *
!* Matrix entries A(i,j) with i <= NP_RES are correct and are *
!* exported *
!**********************************************************************
SUBROUTINE CREATE_WWM_MAT_P2D_EXCH
USE DATAPOOL
implicit none
integer :: ListFirstMNP(nproc), ListFirstNNZ(nproc)
integer :: ListCommon_send(nproc), ListCommon_recv(nproc)
integer :: ListMapped(np_global)
integer :: ListMappedB(np_global)
integer, allocatable :: dspl_send(:), dspl_recv(:)
integer nbCommon_send, nbCommon_recv
integer IAfirst
integer IP, JP, I, J, J2, IP_glob, JP_glob, iProc
integer MNPloc, NP_RESloc, JP_j
integer IPloc, JPloc, Jfound, idx
integer iNeigh, nbCommon
integer sumNbCommon_send, sumNbCommon_recv
integer idxDspl_send, idxDspl_recv
ListFirstNNZ=0
ListFirstMNP=0
DO iProc=2,nproc
ListFirstMNP(iProc)=ListFirstMNP(iProc-1) + ListMNP(iProc-1)
ListFirstNNZ(iProc)=ListFirstNNZ(iProc-1) + ListNNZ(iProc-1)
END DO
ListMapped=0
DO IP=1,MNP
IP_glob=iplg(IP)
ListMapped(IP_glob)=IP
END DO
wwm_nnbr_m_recv=0
wwm_nnbr_m_send=0
ListCommon_recv=0
DO I=1,wwm_nnbr_recv
iProc=wwm_ListNeigh_recv(I)
NP_RESloc=ListNP_RES(iProc)
MNPloc=ListMNP(iProc)
ListMappedB=0
DO IP=1,MNPloc
IP_glob=ListIPLG(IP+ListFirstMNP(iProc))
ListMappedB(IP_glob)=IP
END DO
nbCommon_recv=0
DO IP=1,NP_RESloc
IP_glob=ListIPLG(IP+ListFirstMNP(iProc))
IPloc=ListMapped(IP_glob)
IF (IPloc.gt.0) THEN
IAfirst=ListFirstMNP(iProc) + iProc-1
DO J=ListIA(IP+IAfirst),ListIA(IP+IAfirst+1)-1
JP=ListJA(J+ListFirstNNZ(iProc))
JP_glob=ListIPLG(JP+ListFirstMNP(iProc))
JPloc=ListMapped(JP_glob)
IF (JPloc.gt.0) THEN
JFOUND=-1
DO J2=IA(IPloc),IA(IPloc+1)-1
IF (JA(J2) == JPloc) THEN
JFOUND=J2
END IF
END DO
IF (JFOUND .gt. 0) THEN
nbCommon_recv=nbCommon_recv+1
END IF
END IF
END DO
END IF
END DO
IF (nbCommon_recv .gt. 0) THEN
wwm_nnbr_m_recv=wwm_nnbr_m_recv+1
ListCommon_recv(iProc)=nbCommon_recv
END IF
END DO
ListCommon_send=0
DO I=1,wwm_nnbr_send
iProc=wwm_ListNeigh_send(I)
NP_RESloc=ListNP_RES(iProc)
MNPloc=ListMNP(iProc)
ListMappedB=0
DO IP=1,MNPloc
IP_glob=ListIPLG(IP+ListFirstMNP(iProc))
ListMappedB(IP_glob)=IP
END DO
nbCommon_send=0
DO IP=1,NP_RES
IP_glob=iplg(IP)
IPloc=ListMappedB(IP_glob)
IF (IPloc.gt.0) THEN
DO J=IA(IP),IA(IP+1)-1
JP=JA(J)
JP_glob=iplg(JP)
JPloc=ListMappedB(JP_glob)
IF (JPloc.gt.0) THEN
IAfirst=ListFirstMNP(iProc) + iProc-1
JFOUND=-1
DO J2=ListIA(IPloc+IAfirst),ListIA(IPloc+IAfirst+1)-1
JP_j=ListJA(J2+ListFirstNNZ(iProc))
IF (JP_j == JPloc) THEN
JFOUND=J2
END IF
END DO
IF (JFOUND .gt. 0) THEN
nbCommon_send=nbCommon_send+1
END IF
END IF
END DO
END IF
END DO
IF (nbCommon_send .gt. 0) THEN
wwm_nnbr_m_send=wwm_nnbr_m_send+1
ListCommon_send(iProc)=nbCommon_send
END IF
END DO
allocate(wwmmat_p2dsend_rqst(wwm_nnbr_m_send), wwmmat_p2drecv_rqst(wwm_nnbr_m_recv), &
&wwmmat_p2dsend_stat(MPI_STATUS_SIZE,wwm_nnbr_m_send), &
&wwmmat_p2drecv_stat(MPI_STATUS_SIZE,wwm_nnbr_m_recv), wwmmat_p2dsend_type(wwm_nnbr_m_send), &
&wwmmat_p2drecv_type(wwm_nnbr_m_recv), wwm_ListNbCommon_m_send(wwm_nnbr_m_send), &
&wwm_ListNbCommon_m_recv(wwm_nnbr_m_recv), wwm_ListNeigh_m_recv(wwm_nnbr_m_recv), &
&wwm_ListNeigh_m_send(wwm_nnbr_m_send), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 38')
idx=0
sumNbCommon_send=0
DO iProc=1,nproc
IF (ListCommon_send(iProc) .gt. 0) THEN
idx=idx+1
wwm_ListNeigh_m_send(idx)=iProc-1
nbCommon=ListCommon_send(iProc)
wwm_ListNbCommon_m_send(idx)=nbCommon
sumNbCommon_send=sumNbCommon_send+nbCommon
END IF
END DO
idx=0
sumNbCommon_recv=0
DO iProc=1,nproc
IF (ListCommon_recv(iProc) .gt. 0) THEN
idx=idx+1
wwm_ListNeigh_m_recv(idx)=iProc-1
nbCommon=ListCommon_recv(iProc)
wwm_ListNbCommon_m_recv(idx)=nbCommon
sumNbCommon_recv=sumNbCommon_recv+nbCommon
END IF
END DO
allocate(wwm_ListDspl_m_send(sumNbCommon_send), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 39')
idxDspl_send=0
DO iNeigh=1,wwm_nnbr_m_send
iProc=wwm_ListNeigh_m_send(iNeigh)+1
MNPloc=ListMNP(iProc)
ListMappedB=0
DO IP=1,MNPloc
IP_glob=ListIPLG(IP+ListFirstMNP(iProc))
ListMappedB(IP_glob)=IP
END DO
nbCommon=wwm_ListNbCommon_m_send(iNeigh)
allocate(dspl_send(nbCommon), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 40')
idx=0
DO IP=1,NP_RES
IP_glob=iplg(IP)
IPloc=ListMappedB(IP_glob)
IF (IPloc.gt.0) THEN
DO J=IA(IP),IA(IP+1)-1
JP=JA(J)
JP_glob=iplg(JP)
JPloc=ListMappedB(JP_glob)
IF (JPloc .gt. 0) THEN
IAfirst=ListFirstMNP(iProc) + iProc-1
JFOUND=-1
DO J2=ListIA(IPloc+IAfirst),ListIA(IPloc+IAfirst+1)-1
JP_j=ListJA(J2+ListFirstNNZ(iProc))
IF (JP_j == JPloc) THEN
JFOUND=J2
END IF
END DO
IF (JFOUND .gt. 0) THEN
idxDspl_send=idxDspl_send+1
wwm_ListDspl_m_send(idxDspl_send)=J
idx=idx+1
dspl_send(idx)=(J-1)*NUMSIG*NUMDIR
END IF
END IF
END DO
END IF
END DO
call mpi_type_create_indexed_block(nbCommon,NUMSIG*NUMDIR,dspl_send,rtype,wwmmat_p2dsend_type(iNeigh), ierr)
call mpi_type_commit(wwmmat_p2dsend_type(iNeigh), ierr)
deallocate(dspl_send)
END DO
allocate(wwm_ListDspl_m_recv(sumNbCommon_recv), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 41')
idxDspl_recv=0
DO iNeigh=1,wwm_nnbr_m_recv
iProc=wwm_ListNeigh_m_recv(iNeigh)+1
nbCommon=wwm_ListNbCommon_m_recv(iNeigh)
allocate(dspl_recv(nbCommon), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 42')
NP_RESloc=ListNP_RES(iProc)
idx=0
DO IP=1,NP_RESloc
IP_glob=ListIPLG(IP+ListFirstMNP(iProc))
IPloc=ListMapped(IP_glob)
IF (IPloc.gt.0) THEN
IAfirst=ListFirstMNP(iProc) + iProc-1
DO J=ListIA(IP+IAfirst),ListIA(IP+IAfirst+1)-1
JP=ListJA(J+ListFirstNNZ(iProc))
JP_glob=ListIPLG(JP+ListFirstMNP(iProc))
JPloc=ListMapped(JP_glob)
IF (JPloc.gt.0) THEN
JFOUND=-1
DO J2=IA(IPloc),IA(IPloc+1)-1
IF (JA(J2) == JPloc) THEN
JFOUND=J2
END IF
END DO
IF (JFOUND /= -1) THEN
idxDspl_recv=idxDspl_recv+1
wwm_ListDspl_m_recv(idxDspl_recv)=Jfound
idx=idx+1
dspl_recv(idx)=(Jfound-1)*NUMSIG*NUMDIR
END IF
END IF
END DO
END IF
END DO
call mpi_type_create_indexed_block(nbCommon,NUMSIG*NUMDIR,dspl_recv,rtype,wwmmat_p2drecv_type(iNeigh), ierr)
call mpi_type_commit(wwmmat_p2drecv_type(iNeigh), ierr)
deallocate(dspl_recv)
END DO
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE BUILD_MULTICOLORING(AdjGraph, ListColor)
USE datapool
implicit none
type(Graph), intent(in) :: AdjGraph
integer, intent(out) :: ListColor(AdjGraph%nbVert)
integer, allocatable :: CurrColor(:)
integer MaxDeg, iVert, eVert, eColor, eDeg
integer idx, I, ChromaticNr, nbVert
integer, allocatable :: ListPosFirst(:)
integer eColorF, iVertFound, eAdjColor
integer nbUndef, MinDeg, eAdj, MinUndef, PosMin
MaxDeg=AdjGraph % MaxDeg
nbVert=AdjGraph % nbVert
allocate(CurrColor(MaxDeg+1), ListPosFirst(nbVert), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 43')
ListColor=0
idx=0
DO iVert=1,nbVert
ListPosFirst(iVert)=idx
idx=idx+AdjGraph % ListDegree(iVert)
END DO
MinDeg=MaxDeg+3
PosMin=-1
DO iVert=1,nbVert
eDeg=AdjGraph % ListDegree(iVert)
IF (eDeg .lt. MinDeg) THEN
MinDeg=eDeg
PosMin=iVert
END IF
END DO
idx=ListPosFirst(PosMin)
DO I=0,MinDeg
IF (I.eq.0) THEN
eVert=PosMin
ELSE
eVert=AdjGraph % ListEdge(idx+I,2)
END IF
ListColor(eVert)=I+1
END DO
DO
MinUndef=nbVert
iVertFound=0
DO iVert=1,nbVert
IF (ListColor(iVert) == 0) THEN
idx=ListPosFirst(iVert)
eDeg=AdjGraph % ListDegree(iVert)
nbUndef=0
DO I=1,eDeg
eAdj=AdjGraph % ListEdge(idx+I,2)
eAdjColor=ListColor(eAdj)
IF (eAdjColor == 0) THEN
nbUndef=nbUndef+1
END IF
END DO
IF (nbUndef .lt. MinUndef) THEN
MinUndef=nbUndef
iVertFound=iVert
END IF
END IF
END DO
IF (iVertFound == 0) THEN
EXIT
END IF
eDeg=AdjGraph % ListDegree(iVertFound)
idx=ListPosFirst(iVertFound)
CurrColor=0
DO I=1,eDeg
eVert=AdjGraph % ListEdge(idx+I,2)
eColor=ListColor(eVert)
IF (eColor.gt.0) THEN
CurrColor(eColor)=1
END IF
END DO
eColorF=-1
DO I=1,MaxDeg+1
IF (eColorF == -1) THEN
IF (CurrColor(I) == 0) THEN
eColorF=I
END IF
END IF
END DO
ListColor(iVertFound)=eColorF
END DO
deallocate(ListPosFirst, CurrColor)
ChromaticNr=maxval(ListColor)
# ifdef DEBUG
WRITE(740+myrank,*) 'ChromaticNr=', ChromaticNr
DO iVert=1,nbVert
WRITE(740+myrank,*) 'iVert=', iVert, 'eColor=', ListColor(iVert)
END DO
# endif
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE DeallocateGraph(TheGraph)
USE DATAPOOL
implicit none
type(Graph), intent(inout) :: TheGraph
deallocate(TheGraph % ListDegree)
deallocate(TheGraph % ListEdge)
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE INIT_BLOCK_FREQDIR(LocalColor, Nblock)
USE DATAPOOL
implicit none
type(LocalColorInfo), intent(inout) :: LocalColor
integer, intent(in) :: Nblock
integer Ntot, Hlen, Delta, iBlock, idx, ID, IS
integer lenBlock, maxBlockLength
WRITE(STAT%FHNDL,'("+TRACE......",A)') 'ENTERING INIT_BLOCK_FREQDIR'
FLUSH(STAT%FHNDL)
Ntot=NUMSIG*NUMDIR
Hlen=INT(MyREAL(Ntot)/Nblock)
Delta=Ntot - Hlen*Nblock
iBlock=1
idx=1
LocalColor % Nblock=Nblock
IF (Delta == 0) THEN
maxBlockLength=Hlen
ELSE
maxBlockLength=Hlen+1
ENDIF
allocate(LocalColor % ISindex(Nblock, maxBlockLength), LocalColor % IDindex(Nblock, maxBlockLength), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 44')
DO IS=1,NUMSIG
DO ID=1,NUMDIR
LocalColor % ISindex(iBlock, idx)=IS
LocalColor % IDindex(iBlock, idx)=ID
IF (iBlock <= Delta) THEN
lenBlock=Hlen+1
ELSE
lenBlock=Hlen
END IF
idx=idx+1
IF (idx > lenBlock) THEN
iBlock=iBlock+1
idx=1
ENDIF
END DO
END DO
allocate(LocalColor % BlockLength(Nblock), stat=istat)
IF (istat/=0) CALL WWM_ABORT('wwm_parall_solver, allocate error 45')
DO iBlock=1,Nblock
IF (iBlock <= Delta) THEN
lenBlock=Hlen+1
ELSE
lenBlock=Hlen
END IF
LocalColor % BlockLength(iBlock)=lenBlock
END DO
LocalColor % maxBlockLength = maxBlockLength
WRITE(STAT%FHNDL,'("+TRACE......",A)') 'FINISHING INIT_BLOCK_FREQDIR'
FLUSH(STAT%FHNDL)
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE INIT_BLK_L2U_ARRAY(LocalColor)
USE DATAPOOL
implicit none
type(LocalColorInfo), intent(inout) :: LocalColor
integer, allocatable :: ListNeed(:), IdxRev(:)
integer nbNeedSend_blk, nbNeedRecv_blk
integer idx, IP
integer nbUpp_send, nbLow_recv, iUpp, iLow, iRank
integer maxBlockLength, idxSend, idxRecv
integer I, IC, nbCommon, eFirst