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lib_CRS.f90
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lib_CRS.f90
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!
! ------------------------------------------------------------------
!
SUBROUTINE sdSolveCRS(en)
USE mMesh
USE mCommon
USE mEqns
USE mPar
IMPLICIT NONE
REAL(rk), ALLOCATABLE :: b(:)
INTEGER en,i,isp,isd,myWall
INTEGER nits,ierr
REAL(rk) cput
WRITE (parLogTekst,'(A,A)') "Solving for ",TRIM(eqn(en)%name)
CALL WriteToLog(parLogTekst)
!
! Set up x, b and rhs-vector vectors
!
ALLOCATE (b(eqn(en)%neq))
!
! Loop over subdomains
!
DO isd=1,nosd
!
! function source points
!
DO i = 1,subdomain(isd)%nnodes
isp = subdomain(isd)%nodeList(i) ! source point
myWall = subdomain(isd)%BCidList(i)
IF (eqn(en)%boundary(myWall)%known.EQ.iFunction) THEN
eqn(en)%b(eqn(en)%col(isp))=eqn(en)%u(isp)
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iFlux) THEN
eqn(en)%x(eqn(en)%col(isp))=eqn(en)%u(isp)
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iContact) THEN
eqn(en)%x(eqn(en)%col(isp))=eqn(en)%u(isp)
END IF
END DO ! u source point
!
! Flux source points
!
DO i = 1,subdomain(isd)%nqnodes
isp = subdomain(isd)%qnodeList(i) ! source point
myWall = subdomain(isd)%qBCidList(i)
IF (eqn(en)%boundary(myWall)%known.EQ.iFunction) THEN
eqn(en)%x(eqn(en)%qcol(isp))=eqn(en)%q(isp)
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iFlux) THEN
eqn(en)%b(eqn(en)%qcol(isp))=eqn(en)%q(isp)
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iContact) THEN
eqn(en)%x(eqn(en)%qcol(isp))=eqn(en)%q(isp)
END IF
END DO ! q source point
END DO ! subdomains
!
! Calculate rhs vector
!
CALL CRSxV(eqn(en)%rhsMcrs,-eqn(en)%b,eqn(en)%nb,b)
!
! Solve
!
ierr=0
cput=0.0_rk
nits=0
!
! preconditioner (calculate : eqn(en)%Pivot )
!
CALL lsqr_precon(eqn(en)%sysMcrs%neq,eqn(en)%nx,eqn(en)%sysMcrs%nnz,eqn(en)%Pivot, &
eqn(en)%sysMcrs%i,eqn(en)%sysMcrs%j,eqn(en)%sysMcrs%v)
!
! solve overdetermined system of linear equations
!
CALL lsqr_solve(eqn(en)%sysMcrs%neq,eqn(en)%nx,eqn(en)%sysMcrs%nnz, &
eqn(en)%slv%maxit,eqn(en)%slv%eps,nits,ierr,eqn(en)%Pivot, &
eqn(en)%sysMcrs%i,eqn(en)%sysMcrs%j,eqn(en)%sysMcrs%v,b,eqn(en)%x)
!
! Report to log file
!
WRITE (parLogTekst,'(A,A,I0,1X,I0)') TRIM(eqn(en)%name)," LSQR Solver : ", ierr,nits
CALL WriteToLog(parLogTekst)
IF (eqn(en)%slv%maxit.LE.nits) THEN
WRITE (parLogTekst,'(A,I0,1X,I0)') "WARNING :: MAX solver iterations reached!"
CALL WriteToLog(parLogTekst)
END IF
!
! Distribute SLE results to u and q vectors
!
!
!
! Loop over subdomains
!
DO isd=1,nosd
!
! function source points
!
DO i = 1,subdomain(isd)%nnodes
isp = subdomain(isd)%nodeList(i) ! source point
myWall = subdomain(isd)%BCidList(i)
IF (eqn(en)%boundary(myWall)%known.EQ.iFunction) THEN
eqn(en)%u(isp)=eqn(en)%b(eqn(en)%col(isp))
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iFlux) THEN
eqn(en)%u(isp)=eqn(en)%x(eqn(en)%col(isp))
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iContact) THEN
eqn(en)%u(isp)=eqn(en)%x(eqn(en)%col(isp))
END IF
END DO ! u source point
!
! Flux source points
!
DO i = 1,subdomain(isd)%nqnodes
isp = subdomain(isd)%qnodeList(i) ! source point
myWall = subdomain(isd)%qBCidList(i)
IF (eqn(en)%boundary(myWall)%known.EQ.iFunction) THEN
eqn(en)%q(isp)=eqn(en)%x(eqn(en)%qcol(isp))
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iFlux) THEN
eqn(en)%q(isp)=eqn(en)%b(eqn(en)%qcol(isp))
ELSE IF (eqn(en)%boundary(myWall)%known.EQ.iContact) THEN
eqn(en)%q(isp)=eqn(en)%x(eqn(en)%qcol(isp))
END IF
END DO ! q source point
END DO ! subdomains
!
! Free memory
!
DEALLOCATE (b)
END
!
! ------------------------------------------------------------------
!
SUBROUTINE sdSetUpSysMrhsM_CRS(en)
USE mMesh
USE mEqns
USE mPar
USE mCommon
IMPLICIT NONE
INTEGER en,row,mywall,isd,i,j,r,col,mywallC,k,bc
REAL(rk) val,multi
INTEGER(8) nnzSys,nnzRHS
nnzSys=0
nnzRHS=0
!
! Count NNZ in CRS matrices
!
CALL sdSetUpSysMrhsM_CRScount(en,eqn(en)%sysMcrs%nnz,eqn(en)%rhsMcrs%nnz)
eqn(en)%sysMcrs%neq = eqn(en)%neq
eqn(en)%rhsMcrs%neq = eqn(en)%neq
WRITE (parLogTekst,'(A,A,F10.2,A)') TRIM(eqn(en)%name)," system matrix size = ", &
(DBLE(eqn(en)%sysMcrs%nnz)+0.5*DBLE(eqn(en)%sysMcrs%neq))*8.0/1024.0/1024.0," Mb"
CALL WriteToLog(parLogTekst)
WRITE (parLogTekst,'(A,A,F10.2,A)') TRIM(eqn(en)%name)," RHS matrix size = ", &
(DBLE(eqn(en)%rhsMcrs%nnz)+0.5*DBLE(eqn(en)%rhsMcrs%neq))*8.0/1024.0/1024.0," Mb"
CALL WriteToLog(parLogTekst)
!
! allocate memory for CRS matrix
!
ALLOCATE (eqn(en)%sysMcrs%v(eqn(en)%sysMcrs%nnz),eqn(en)%sysMcrs%i(eqn(en)%sysMcrs%neq+1))
ALLOCATE (eqn(en)%sysMcrs%j(eqn(en)%sysMcrs%nnz))
ALLOCATE (eqn(en)%rhsMcrs%v(eqn(en)%rhsMcrs%nnz),eqn(en)%rhsMcrs%i(eqn(en)%rhsMcrs%neq+1))
ALLOCATE (eqn(en)%rhsMcrs%j(eqn(en)%rhsMcrs%nnz))
!
! Allocate memory for row
!
row = 0 ! row in sysM and rhsM
!
! Loop over subdomains
!
DO isd=1,nosd
!
! function source points
!
r=0 ! row in H and G matrix
DO i = 1,subdomain(isd)%nnodes
myWall = subdomain(isd)%BCidList(i)
bc = eqn(en)%boundary(myWall)%known
r=r+1
!
! Determine if I need equation for this source point
!
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
row=row+1
eqn(en)%sysMcrs%i(row) = nnzSys + 1
eqn(en)%rhsMcrs%i(row) = nnzRHS + 1
!
! H values
!
DO j = 1,subdomain(isd)%nnodes ! loop over H matrix columns
col =eqn(en)%col(subdomain(isd)%nodeList(j))
myWallC = subdomain(isd)%BCidList(j)
bc = eqn(en)%boundary(myWallC)%known
val = subdomain(isd)%Hmat(r,j)
IF (bc.EQ.iFunction) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
END DO
!
! G values
!
DO j = 1,subdomain(isd)%nqnodes ! loop over G matrix columns
col =eqn(en)%qcol(subdomain(isd)%qnodeList(j))
myWallC = subdomain(isd)%qBCidList(j)
bc = eqn(en)%boundary(myWallC)%known
DO k=1,subdomain(isd)%nofw
IF (myWallC.EQ.subdomain(isd)%loWalls(k)) multi = subdomain(isd)%normMul(k)
END DO
val = multi / subdomain(isd)%diff * subdomain(isd)%Gmat(r,j)
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
IF (bc.EQ.iFlux) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
END DO
END IF
END DO
!
! Flux source points
!
DO i = 1,subdomain(isd)%nqnodes
myWall = subdomain(isd)%qBCidList(i)
bc = eqn(en)%boundary(myWall)%known
!
! Integrate row
!
r=r+1
!
! Determine if I need equation for this source point
!
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
row=row+1
eqn(en)%sysMcrs%i(row) = nnzSys + 1
eqn(en)%rhsMcrs%i(row) = nnzRHS + 1
!
! H values
!
DO j = 1,subdomain(isd)%nnodes
col =eqn(en)%col(subdomain(isd)%nodeList(j))
myWallC = subdomain(isd)%BCidList(j)
bc = eqn(en)%boundary(myWallC)%known
val = subdomain(isd)%Hmat(r,j)
IF (bc.EQ.iFunction) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
END DO
!
! G values
!
DO j = 1,subdomain(isd)%nqnodes
col =eqn(en)%qcol(subdomain(isd)%qnodeList(j))
myWallC = subdomain(isd)%qBCidList(j)
bc = eqn(en)%boundary(myWallC)%known
DO k=1,subdomain(isd)%nofw ! define q based on sub. normal
IF (myWallC.EQ.subdomain(isd)%loWalls(k)) multi = subdomain(isd)%normMul(k)
END DO
val = multi / subdomain(isd)%diff * subdomain(isd)%Gmat(r,j)
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
IF (bc.EQ.iFlux) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
END DO
END IF
END DO
END DO ! subdomains
!
! Additional nonexistent start of line
!
eqn(en)%sysMcrs%i(row+1) = nnzSys + 1
eqn(en)%rhsMcrs%i(row+1) = nnzRHS + 1
END SUBROUTINE
!
! ------------------------------------------------------------------
!
SUBROUTINE sdSetUpSysMrhsM_CRS_fromDisk(en)
USE mMesh
USE mEqns
USE mPar
USE mCommon
IMPLICIT NONE
INTEGER en,row,mywall,isd,i,j,r,col,mywallC,k,bc
REAL(rk) val,multi
INTEGER(8) nnzSys,nnzRHS
INTEGER lun,a,b,c
lun=12
!
! Open integrals file
!
OPEN (lun,FILE=TRIM(parIntegralsFileName),FORM='UNFORMATTED',STATUS='OLD',ERR=10)
!
! Loop over subdomains
!
DO isd=1,nosd
READ (lun,ERR=10) a,b,c
IF ( (a.NE.subdomain(isd)%nsp) .OR. (subdomain(isd)%nnodes.NE.b) .OR. (subdomain(isd)%nqnodes.NE.c) ) THEN
GOTO 10
END IF
END DO
!
! Errors
!
DO isd=1,nosd
READ (lun,ERR=10) subdomain(isd)%FspCerr,subdomain(isd)%QspCerr
END DO
nnzSys=0
nnzRHS=0
!
! Count NNZ in CRS matrices
!
CALL sdSetUpSysMrhsM_CRScount(en,eqn(en)%sysMcrs%nnz,eqn(en)%rhsMcrs%nnz)
eqn(en)%sysMcrs%neq = eqn(en)%neq
eqn(en)%rhsMcrs%neq = eqn(en)%neq
WRITE (parLogTekst,'(A,A,F10.2,A)') TRIM(eqn(en)%name)," system matrix size = ", &
(DBLE(eqn(en)%sysMcrs%nnz)+0.5*DBLE(eqn(en)%sysMcrs%neq))*8.0/1024.0/1024.0," Mb"
CALL WriteToLog(parLogTekst)
WRITE (parLogTekst,'(A,A,F10.2,A)') TRIM(eqn(en)%name)," RHS matrix size = ", &
(DBLE(eqn(en)%rhsMcrs%nnz)+0.5*DBLE(eqn(en)%rhsMcrs%neq))*8.0/1024.0/1024.0," Mb"
CALL WriteToLog(parLogTekst)
!
! allocate memory for CRS matrix
!
ALLOCATE (eqn(en)%sysMcrs%v(eqn(en)%sysMcrs%nnz),eqn(en)%sysMcrs%i(eqn(en)%sysMcrs%neq+1))
ALLOCATE (eqn(en)%sysMcrs%j(eqn(en)%sysMcrs%nnz))
ALLOCATE (eqn(en)%rhsMcrs%v(eqn(en)%rhsMcrs%nnz),eqn(en)%rhsMcrs%i(eqn(en)%rhsMcrs%neq+1))
ALLOCATE (eqn(en)%rhsMcrs%j(eqn(en)%rhsMcrs%nnz))
!
! Allocate memory for row
!
row = 0 ! row in sysM and rhsM
!
! Loop over subdomains
!
DO isd=1,nosd
!
! Read integrals from disk
!
ALLOCATE (subdomain(isd)%Hmat(subdomain(isd)%nsp,subdomain(isd)%nnodes))
ALLOCATE (subdomain(isd)%Gmat(subdomain(isd)%nsp,subdomain(isd)%nqnodes))
CALL RdSMat(subdomain(isd)%Hmat,subdomain(isd)%nsp,subdomain(isd)%nnodes,lun)
CALL RdSMat(subdomain(isd)%Gmat,subdomain(isd)%nsp,subdomain(isd)%nqnodes,lun)
!
! function source points
!
r=0 ! row in H and G matrix
DO i = 1,subdomain(isd)%nnodes
myWall = subdomain(isd)%BCidList(i)
bc = eqn(en)%boundary(myWall)%known
r=r+1
!
! Determine if I need equation for this source point
!
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
row=row+1
eqn(en)%sysMcrs%i(row) = nnzSys + 1
eqn(en)%rhsMcrs%i(row) = nnzRHS + 1
!
! H values
!
DO j = 1,subdomain(isd)%nnodes ! loop over H matrix columns
col =eqn(en)%col(subdomain(isd)%nodeList(j))
myWallC = subdomain(isd)%BCidList(j)
bc = eqn(en)%boundary(myWallC)%known
val = subdomain(isd)%Hmat(r,j)
IF (bc.EQ.iFunction) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
END DO
!
! G values
!
DO j = 1,subdomain(isd)%nqnodes ! loop over G matrix columns
col =eqn(en)%qcol(subdomain(isd)%qnodeList(j))
myWallC = subdomain(isd)%qBCidList(j)
bc = eqn(en)%boundary(myWallC)%known
DO k=1,subdomain(isd)%nofw
IF (myWallC.EQ.subdomain(isd)%loWalls(k)) multi = subdomain(isd)%normMul(k)
END DO
val = multi / subdomain(isd)%diff * subdomain(isd)%Gmat(r,j)
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
IF (bc.EQ.iFlux) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
END DO
END IF
END DO
!
! Flux source points
!
DO i = 1,subdomain(isd)%nqnodes
myWall = subdomain(isd)%qBCidList(i)
bc = eqn(en)%boundary(myWall)%known
!
! Integrate row
!
r=r+1
!
! Determine if I need equation for this source point
!
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
row=row+1
eqn(en)%sysMcrs%i(row) = nnzSys + 1
eqn(en)%rhsMcrs%i(row) = nnzRHS + 1
!
! H values
!
DO j = 1,subdomain(isd)%nnodes
col =eqn(en)%col(subdomain(isd)%nodeList(j))
myWallC = subdomain(isd)%BCidList(j)
bc = eqn(en)%boundary(myWallC)%known
val = subdomain(isd)%Hmat(r,j)
IF (bc.EQ.iFunction) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
END DO
!
! G values
!
DO j = 1,subdomain(isd)%nqnodes
col =eqn(en)%qcol(subdomain(isd)%qnodeList(j))
myWallC = subdomain(isd)%qBCidList(j)
bc = eqn(en)%boundary(myWallC)%known
DO k=1,subdomain(isd)%nofw ! define q based on sub. normal
IF (myWallC.EQ.subdomain(isd)%loWalls(k)) multi = subdomain(isd)%normMul(k)
END DO
val = multi / subdomain(isd)%diff * subdomain(isd)%Gmat(r,j)
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
nnzSys = nnzSys + 1
eqn(en)%sysMcrs%v(nnzSys) = val
eqn(en)%sysMcrs%j(nnzSys) = col
END IF
IF (bc.EQ.iFlux) THEN
nnzRHS = nnzRHS + 1
eqn(en)%rhsMcrs%v(nnzRHS) = val
eqn(en)%rhsMcrs%j(nnzRHS) = col
END IF
END DO
END IF
END DO
!
! Free memory (deallocate integrals for this subdomain)
!
DEALLOCATE (subdomain(isd)%Hmat)
DEALLOCATE (subdomain(isd)%Gmat)
END DO ! subdomains
CLOSE(lun)
!
! Additional nonexistent start of line
!
eqn(en)%sysMcrs%i(row+1) = nnzSys + 1
eqn(en)%rhsMcrs%i(row+1) = nnzRHS + 1
RETURN
10 CONTINUE
CALL WriteToLog("ERROR in sdSetUpSysMrhsM_CRS_fromDisk!")
CALL StopProgram
END SUBROUTINE
!
! ------------------------------------------------------------------
!
SUBROUTINE sdSetUpSysMrhsM_CRScount(en,nnzSys,nnzRHS)
USE mMesh
USE mEqns
USE mPar
IMPLICIT NONE
INTEGER en,row,mywall,isd,i,j,r,col,mywallC,bc
INTEGER(8) nnzSys,nnzRHS
nnzSys=0
nnzRHS=0
row = 0 ! row in sysM and rhsM
!
! Loop over subdomains
!
DO isd=1,nosd
!
! function source points
!
r=0 ! row in H and G matrix
DO i = 1,subdomain(isd)%nnodes
myWall = subdomain(isd)%BCidList(i)
bc = eqn(en)%boundary(myWall)%known
r=r+1
!
! Determine if I need equation for this source point
!
IF (bc.EQ.iFlux.OR.bc.EQ.iContact) THEN
row=row+1
!
! H values
!
DO j = 1,subdomain(isd)%nnodes ! loop over H matrix columns
col =eqn(en)%col(subdomain(isd)%nodeList(j))
myWallC = subdomain(isd)%BCidList(j)
bc = eqn(en)%boundary(myWallC)%known
IF (bc.EQ.iFunction) nnzRHS = nnzRHS + 1
IF (bc.EQ.iFlux) nnzSys = nnzSys + 1
IF (bc.EQ.iContact) nnzSys = nnzSys + 1
END DO
!
! G values
!
DO j = 1,subdomain(isd)%nqnodes ! loop over G matrix columns
col =eqn(en)%qcol(subdomain(isd)%qnodeList(j))
myWallC = subdomain(isd)%qBCidList(j)
bc = eqn(en)%boundary(myWallC)%known
IF (bc.EQ.iFunction) nnzSys = nnzSys + 1
IF (bc.EQ.iFlux) nnzRHS = nnzRHS + 1
IF (bc.EQ.iContact) nnzSys = nnzSys + 1
END DO
END IF
END DO
!
! Flux source points
!
DO i = 1,subdomain(isd)%nqnodes
myWall = subdomain(isd)%qBCidList(i)
bc = eqn(en)%boundary(myWall)%known
!
! Integrate row
!
r=r+1
!
! Determine if I need equation for this source point
!
IF (bc.EQ.iFunction.OR.bc.EQ.iContact) THEN
row=row+1
!
! H values
!
DO j = 1,subdomain(isd)%nnodes
col =eqn(en)%col(subdomain(isd)%nodeList(j))
myWallC = subdomain(isd)%BCidList(j)
bc = eqn(en)%boundary(myWallC)%known
IF (bc.EQ.iFunction) nnzRHS = nnzRHS + 1
IF (bc.EQ.iFlux) nnzSys = nnzSys + 1
IF (bc.EQ.iContact) nnzSys = nnzSys + 1
END DO
!
! G values
!
DO j = 1,subdomain(isd)%nqnodes
col =eqn(en)%qcol(subdomain(isd)%qnodeList(j))
myWallC = subdomain(isd)%qBCidList(j)
bc = eqn(en)%boundary(myWallC)%known
IF (bc.EQ.iFunction) nnzSys = nnzSys + 1
IF (bc.EQ.iFlux) nnzRHS = nnzRHS + 1
IF (bc.EQ.iContact) nnzSys = nnzSys + 1
END DO
END IF
END DO
END DO ! subdomains
END SUBROUTINE
!
! ------------------------------------------------------------------
!
SUBROUTINE TransformToCRS(mat,nrow,ncol,crsM)
USE mEqns
USE mCommon
IMPLICIT NONE
INTEGER nrow,ncol,i,j
REAL(rk) mat(nrow,ncol)
TYPE(CRSmatrixType) crsM
!
! count
!
crsM%nnz = 0
crsM%neq = nrow
DO i=1,nrow
DO j=1,ncol
IF (mat(i,j).NE.0.0_rk) THEN
crsM%nnz = crsM%nnz + 1
END IF
END DO
END DO
!
! allocate memory for CRS matrix
!
ALLOCATE(crsM%v(crsM%nnz),crsM%i(crsM%neq+1),crsM%j(crsM%nnz))
!
! transform
!
crsM%nnz = 0
DO i=1,nrow
crsM%i(i)=crsM%nnz + 1 ! line start
DO j=1,ncol
IF (mat(i,j).NE.0.0_rk) THEN
crsM%nnz = crsM%nnz + 1
crsM%v(crsM%nnz) = mat(i,j) ! values
crsM%j(crsM%nnz) = j ! column
END IF
END DO
END DO
crsM%i(crsM%neq + 1)=crsM%nnz + 1 ! start of non-existent line
END SUBROUTINE
! ----------------------------------------------------------------------
SUBROUTINE CRSxV(mat,vek,DolVek,rez)
!
! $: mnozi CRS matriko z vektorjem
!
! ----------------------------------------------------------------------
USE mEqns
USE mCommon
TYPE(CRSmatrixType) :: mat
INTEGER DolVek
INTEGER i
INTEGER(8) j
REAL(rk) vek(DolVek)
REAL(rk) rez(mat%neq)
DO i=1,mat%neq
rez(i)=0.0_rk
DO j=mat%i(i),mat%i(i+1)-1
rez(i)=rez(i)+mat%v(j)*vek(mat%j(j))
END DO
END DO
END SUBROUTINE