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c79c589..3d2c33b 100644 --- a/doc/fvn.tex +++ b/doc/fvn.tex @@ -283,17 +283,20 @@ By interfacing Tim Davis's SuiteSparse from university of Florida \url{http://ww \subsubsection{Sparse solving} The provided routines solves the equation $Ax=B$ where A is sparse and given in its triplet form. +Note that interface has changed from previous versions, splitting complex inputs into real and imaginary part and using 0-based indices, to fit umfpack routines inputs and avoid duplicating datas inside the routines. + \begin{verbatim} Module : fvn_sparse call fvn_sparse_solve(n,nz,T,Ti,Tj,B,x,status,det) +call fvn_sparse_solve(n,nz,Tx,Tz,Ti,Tj,Bx,Bz,x,status,det) \end{verbatim} \begin{itemize} \item For this family of subroutines the two letters (zl,zi,dl,di) of the specific interface name decribe the arguments's type. z is for complex(8), d for real(8), l for integer(8) and i for integer(4) \item \texttt{n} (in) is an integer equal to the matrix rank \item \texttt{nz} (in) is an integer equal to the number of non-zero elements - \item \texttt{T(nz)} (in) is a complex/real array containing the non-zero elements - \item \textt{Ti(nz)},\texttt{Tj(nz)} (in) are the indexes of the corresponding element of \texttt{T} in the original matrix. - \item \texttt{B(n)} (in) is a complex/real array containing the second member of the equation. + \item \texttt{T(nz) or Tx(nz),Tz(nz)} (in) is a real array (or two real arrays for real/imaginary in case of a complex system) containing the non-zero elements + \item \textt{Ti(nz)},\texttt{Tj(nz)} (in) are the indexes of the corresponding element of \texttt{T} in the original matrix, this has to be 0-based as in C. + \item \texttt{B(n) or Bx(n),Bz(n)} (in) is a real array or two real arrays for real/imaginary in case of a complex system) containing the second member of the equation. \item \texttt{x(n)} (out) is a complex/real array containing the solution \item \texttt{status} (out) is an integer which contain non-zero is something went wrong \item \texttt{det} (out), is an optional real(8) array of dimension 2 for dl and di specific interface (real systems) and dimension 3 for zl and zi interface (complex systems) @@ -310,8 +313,10 @@ program test_sparse integer(8), parameter :: nz=12 integer(8), parameter :: n=5 complex(8),dimension(nz) :: A + real(8), dimension(nz) :: Ax,Az integer(8),dimension(nz) :: Ti,Tj complex(8),dimension(n) :: B,x + real(8), dimension(n) :: Bx,Bz integer(8) :: status A = (/ (2.,0.),(3.,0.),(3.,0.),(-1.,0.),(4.,0.),(4.,0.),(-3.,0.),& @@ -319,10 +324,18 @@ program test_sparse B = (/ (8.,0.), (45.,0.), (-3.,0.), (3.,0.), (19.,0.)/) Ti = (/ 1,2,1,3,5,2,3,4,5,3,2,5 /) Tj = (/ 1,1,2,2,2,3,3,3,3,4,5,5 /) + Ax=real(A) + Az=aimag(A) + Bx=real(B) + Bz=aimag(B) + + ! 1-based to 0-based translation + Ti=Ti-1 + Tj=Tj-1 !specific routine that will be used here - !call fvn_zl_sparse_solve(n,nz,A,Ti,Tj,B,x,status) - call fvn_sparse_solve(n,nz,A,Ti,Tj,B,x,status) + !call fvn_zl_sparse_solve(n,nz,Ax,Az,Ti,Tj,Bx,Bz,x,status) + call fvn_sparse_solve(n,nz,Ax,Az,Ti,Tj,Bx,Bz,x,status) write(*,*) x end program @@ -345,6 +358,10 @@ B = (/ 8., 45., -3., 3., 19./) Ti = (/ 1,2,1,3,5,2,3,4,5,3,2,5 /) Tj = (/ 1,1,2,2,2,3,3,3,3,4,5,5 /) +! 1-based to 0-based translation +Ti=Ti-1 +Tj=Tj-1 + !specific routine that will be used here !call fvn_di_sparse_solve(n,nz,A,Ti,Tj,B,x,status) call fvn_sparse_solve(n,nz,A,Ti,Tj,B,x,status) @@ -362,14 +379,15 @@ The provided subroutines calculates the determinant of a matrix given in its tri \begin{verbatim} Module : fvn_sparse call fvn_sparse_det(n,nz,T,Ti,Tj,det,status) +call fvn_sparse_det(n,nz,Tx,Tz,Ti,Tj,det,status) \end{verbatim} \begin{itemize} \item For this family of subroutines the two letters (zl,zi,dl,di) of the specific interface name decribe the arguments's type. z is for complex(8), d for real(8), l for integer(8) and i for integer(4) \item \texttt{n} (in) is an integer equal to the matrix rank \item \texttt{nz} (in) is an integer equal to the number of non-zero elements - \item \texttt{T(nz)} (in) is a complex/real array containing the non-zero elements - \item \textt{Ti(nz)},\texttt{Tj(nz)} (in) are the indexes of the corresponding element of \texttt{T} in the original matrix. + \item \texttt{T(nz) or Tx(nz),Tz(nz)} (in) is a real array (or two real arrays for real/imaginary in case of a complex system) containing the non-zero elements + \item \textt{Ti(nz)},\texttt{Tj(nz)} (in) are the indexes of the corresponding element of \texttt{T} in the original matrix, it has to be 0-based as in C. \item \texttt{det} (out), a real(8) array of dimension 2 for dl and di specific interface (real systems) and dimension 3 for zl and zi interface (complex systems) \item \texttt{status} (out) is an integer which contain non-zero is something went wrong \end{itemize} @@ -395,9 +413,11 @@ implicit none integer(kind=sp_kind), parameter :: nz=12 integer(kind=sp_kind), parameter :: n=5 complex(kind=dp_kind),dimension(nz) :: A +real(kind=dp_kind), dimension(nz) :: Ax,Az complex(kind=dp_kind),dimension(n,n) :: As integer(kind=sp_kind),dimension(nz) :: Ti,Tj complex(kind=dp_kind),dimension(n) :: B,x +real(kind=dp_kind), dimension(n) :: Bx,Bz integer(kind=sp_kind) :: status,i real(kind=dp_kind),dimension(3) :: det character(len=80) :: fmcmplx @@ -410,6 +430,11 @@ B = (/ (8.,3.), (45.,1.), (-3.,-2.), (3.,0.), (19.,2.) /) Ti = (/ 1,2,1,3,5,2,3,4,5,3,2,5 /) Tj = (/ 1,1,2,2,2,3,3,3,3,4,5,5 /) +Ax=real(A) +Az=aimag(A) +Bx=real(B) +Bz=aimag(B) + ! Reconstruction of the matrix in standard form As=0. do i=1,nz @@ -428,13 +453,13 @@ write(*,fmcmplx) B ! can use either specific interface, fvn_zi_sparse_det ! either generic one fvn_sparse_det -call fvn_zi_sparse_det(n,nz,A,Ti,Tj,det,status) +call fvn_zi_sparse_det(n,nz,Ax,Az,Ti,Tj,det,status) write(*,*) write(*,*) "Sparse Det = ",cmplx(det(1),det(2),kind=dp_kind)*10**det(3) ! can use either specific interface fvn_zi_sparse_solve ! either generic one fvn_sparse_solve ! parameter det is optional -call fvn_zi_sparse_solve(n,nz,A,Ti,Tj,B,x,status,det) +call fvn_zi_sparse_solve(n,nz,Ax,Az,Ti,Tj,Bx,Bz,x,status,det) write(*,*) write(*,*) "Sparse Det as solve option= ",cmplx(det(1),det(2),kind=dp_kind)*10**det(3) write(*,*) diff --git a/fvn_sparse/fvn_sparse.f90 b/fvn_sparse/fvn_sparse.f90 index ea60eaf..fb88415 100644 --- a/fvn_sparse/fvn_sparse.f90 +++ b/fvn_sparse/fvn_sparse.f90 @@ -65,8 +65,8 @@ end function ! Solve Ax=B using UMFPACK ! ! Where A is a sparse matrix given in its triplet form -! T -> non zero elements -! Ti,Tj -> row and column index (1-based) of the given elt +! T -> non zero elements (Tx and Tz for real and imaginary part if complex) +! Ti,Tj -> row and column index (0-based) of the given elt ! n : rank of matrix A ! nz : number of non zero elts ! @@ -74,22 +74,20 @@ end function ! * = zl : double complex + integer(kind=dp_kind) ! * = zi : double complex + integer(kind=sp_kind) ! -subroutine fvn_zl_sparse_solve(n,nz,T,Ti,Tj,B,x,status,det) +subroutine fvn_zl_sparse_solve(n,nz,Tx,Tz,Ti,Tj,Bx,Bz,x,status,det) implicit none integer(kind=dp_kind), intent(in) :: n,nz -complex(kind=dp_kind),dimension(nz),intent(in) :: T +real(kind=dp_kind),dimension(nz),intent(in) :: Tx,Tz integer(kind=dp_kind),dimension(nz),intent(in) :: Ti,Tj -complex(kind=dp_kind),dimension(n),intent(in) :: B +real(kind=dp_kind),dimension(n),intent(in) :: Bx,Bz complex(kind=dp_kind),dimension(n),intent(out) :: x integer(kind=dp_kind), intent(out) :: status real(kind=dp_kind), dimension(3), optional, intent(out) :: det -integer(kind=dp_kind),dimension(:),allocatable :: wTi,wTj -real(kind=dp_kind),dimension(:),allocatable :: Tx,Tz real(kind=dp_kind),dimension(:),allocatable :: Ax,Az integer(kind=dp_kind),dimension(:),allocatable :: Ap,Ai integer(kind=dp_kind) :: symbolic,numeric -real(kind=dp_kind),dimension(:),allocatable :: xx,xz,bx,bz +real(kind=dp_kind),dimension(:),allocatable :: xx,xz real(kind=dp_kind),dimension(90) :: info real(kind=dp_kind),dimension(20) :: control integer(kind=dp_kind) :: sys @@ -97,19 +95,11 @@ integer(kind=dp_kind) :: sys status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -! Tx and Tz are the real and imaginary parts of T -allocate(wTi(nz),wTj(nz)) -allocate(Tx(nz),Tz(nz)) -Tx=dble(T) -Tz=aimag(T) -wTi=Ti-1 -wTj=Tj-1 allocate(Ax(nz),Az(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_zl_triplet_to_col(n,n,nz,wTi,wTj,Tx,Tz,Ap,Ai,Ax,Az,status) +call umfpack_zl_triplet_to_col(n,n,nz,Ti,Tj,Tx,Tz,Ap,Ai,Ax,Az,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_zl_triplet_to_col : ",trim(umfpack_return_code(int(status,kind=sp_kind))) @@ -151,9 +141,7 @@ endif -allocate(bx(n),bz(n),xx(n),xz(n)) -bx=dble(B) -bz=aimag(B) +allocate(xx(n),xz(n)) sys=0 ! sys may be used to define type of solving -> see umfpack.h @@ -171,28 +159,24 @@ call umfpack_zl_free_numeric (numeric) x=cmplx(xx,xz,dp_kind) -deallocate(bx,bz,xx,xz) +deallocate(xx,xz) deallocate(Ax,Az) -deallocate(Tx,Tz) -deallocate(wTi,wTj) end subroutine -subroutine fvn_zi_sparse_solve(n,nz,T,Ti,Tj,B,x,status,det) +subroutine fvn_zi_sparse_solve(n,nz,Tx,Tz,Ti,Tj,Bx,Bz,x,status,det) implicit none integer(kind=sp_kind), intent(in) :: n,nz -complex(kind=dp_kind),dimension(nz),intent(in) :: T +real(kind=dp_kind),dimension(nz),intent(in) :: Tx,Tz integer(kind=sp_kind),dimension(nz),intent(in) :: Ti,Tj -complex(kind=dp_kind),dimension(n),intent(in) :: B +real(kind=dp_kind),dimension(n),intent(in) :: Bx,Bz complex(kind=dp_kind),dimension(n),intent(out) :: x integer(kind=sp_kind), intent(out) :: status real(kind=dp_kind), dimension(3), optional, intent(out) :: det -integer(kind=sp_kind),dimension(:),allocatable :: wTi,wTj -real(kind=dp_kind),dimension(:),allocatable :: Tx,Tz real(kind=dp_kind),dimension(:),allocatable :: Ax,Az integer(kind=sp_kind),dimension(:),allocatable :: Ap,Ai !integer(kind=dp_kind) :: symbolic,numeric @@ -200,25 +184,17 @@ integer(kind=sp_kind),dimension(2) :: symbolic,numeric ! As symbolic and numeric are used to store a C pointer, it is necessary to ! still use an integer(kind=dp_kind) for 64bits machines ! An other possibility : integer(kind=sp_kind),dimension(2) :: symbolic,numeric -real(kind=dp_kind),dimension(:),allocatable :: xx,xz,bx,bz +real(kind=dp_kind),dimension(:),allocatable :: xx,xz real(kind=dp_kind),dimension(90) :: info real(kind=dp_kind),dimension(20) :: control integer(kind=sp_kind) :: sys status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -! Tx and Tz are the real and imaginary parts of T -allocate(wTi(nz),wTj(nz)) -allocate(Tx(nz),Tz(nz)) -Tx=dble(T) -Tz=aimag(T) -wTi=Ti-1 -wTj=Tj-1 allocate(Ax(nz),Az(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_zi_triplet_to_col(n,n,nz,wTi,wTj,Tx,Tz,Ap,Ai,Ax,Az,status) +call umfpack_zi_triplet_to_col(n,n,nz,Ti,Tj,Tx,Tz,Ap,Ai,Ax,Az,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_zl_triplet_to_col : ",trim(umfpack_return_code(status)) @@ -261,9 +237,7 @@ endif -allocate(bx(n),bz(n),xx(n),xz(n)) -bx=dble(B) -bz=aimag(B) +allocate(xx(n),xz(n)) sys=0 ! sys may be used to define type of solving -> see umfpack.h @@ -280,10 +254,8 @@ call umfpack_zi_free_numeric (numeric) x=cmplx(xx,xz,dp_kind) -deallocate(bx,bz,xx,xz) +deallocate(xx,xz) deallocate(Ax,Az) -deallocate(Tx,Tz) -deallocate(wTi,wTj) end subroutine @@ -301,7 +273,6 @@ real(kind=dp_kind),dimension(n),intent(out) :: x integer(kind=dp_kind), intent(out) :: status real(kind=dp_kind), dimension(2), optional, intent(out) :: det -integer(kind=dp_kind),dimension(:),allocatable :: wTi,wTj real(kind=dp_kind),dimension(:),allocatable :: A integer(kind=dp_kind),dimension(:),allocatable :: Ap,Ai !integer(kind=dp_kind) :: symbolic,numeric @@ -311,15 +282,11 @@ real(kind=dp_kind),dimension(20) :: control integer(kind=dp_kind) :: sys status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -allocate(wTi(nz),wTj(nz)) -wTi=Ti-1 -wTj=Tj-1 allocate(A(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_dl_triplet_to_col(n,n,nz,wTi,wTj,T,Ap,Ai,A,status) +call umfpack_dl_triplet_to_col(n,n,nz,Ti,Tj,T,Ap,Ai,A,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_dl_triplet_to_col : ",trim(umfpack_return_code(int(status,kind=sp_kind))) @@ -375,7 +342,6 @@ endif call umfpack_dl_free_numeric (numeric) deallocate(A) -deallocate(wTi,wTj) end subroutine @@ -393,7 +359,6 @@ real(kind=dp_kind),dimension(n),intent(out) :: x integer(kind=sp_kind), intent(out) :: status real(kind=dp_kind), dimension(2), optional, intent(out) :: det -integer(kind=sp_kind),dimension(:),allocatable :: wTi,wTj real(kind=dp_kind),dimension(:),allocatable :: A integer(kind=sp_kind),dimension(:),allocatable :: Ap,Ai !integer(kind=dp_kind) :: symbolic,numeric @@ -406,15 +371,11 @@ real(kind=dp_kind),dimension(20) :: control integer(kind=sp_kind) :: sys status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -allocate(wTi(nz),wTj(nz)) -wTi=Ti-1 -wTj=Tj-1 allocate(A(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_di_triplet_to_col(n,n,nz,wTi,wTj,T,Ap,Ai,A,status) +call umfpack_di_triplet_to_col(n,n,nz,Ti,Tj,T,Ap,Ai,A,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_di_triplet_to_col : ",trim(umfpack_return_code(status)) @@ -468,7 +429,6 @@ endif call umfpack_di_free_numeric (numeric) deallocate(A) -deallocate(wTi,wTj) end subroutine @@ -477,16 +437,14 @@ end subroutine ! SPARSE DETERMINANT ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! -subroutine fvn_zl_sparse_det(n,nz,T,Ti,Tj,det,status) +subroutine fvn_zl_sparse_det(n,nz,Tx,Tz,Ti,Tj,det,status) implicit none integer(kind=dp_kind), intent(in) :: n,nz -complex(kind=dp_kind),dimension(nz),intent(in) :: T +real(kind=dp_kind),dimension(nz),intent(in) :: Tx,Tz integer(kind=dp_kind),dimension(nz),intent(in) :: Ti,Tj real(kind=dp_kind), dimension(3), intent(out) :: det integer(kind=dp_kind), intent(out) :: status -integer(kind=dp_kind),dimension(:),allocatable :: wTi,wTj -real(kind=dp_kind),dimension(:),allocatable :: Tx,Tz real(kind=dp_kind),dimension(:),allocatable :: Ax,Az integer(kind=dp_kind),dimension(:),allocatable :: Ap,Ai integer(kind=dp_kind) :: symbolic,numeric @@ -497,19 +455,11 @@ real(kind=dp_kind) :: Mx,Mz,Ex status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -! Tx and Tz are the real and imaginary parts of T -allocate(wTi(nz),wTj(nz)) -allocate(Tx(nz),Tz(nz)) -Tx=dble(T) -Tz=aimag(T) -wTi=Ti-1 -wTj=Tj-1 allocate(Ax(nz),Az(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_zl_triplet_to_col(n,n,nz,wTi,wTj,Tx,Tz,Ap,Ai,Ax,Az,status) +call umfpack_zl_triplet_to_col(n,n,nz,Ti,Tj,Tx,Tz,Ap,Ai,Ax,Az,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_zl_triplet_to_col ",trim(umfpack_return_code(int(status,kind=sp_kind))) @@ -550,21 +500,17 @@ endif call umfpack_zl_free_numeric (numeric) deallocate(Ax,Az) -deallocate(Tx,Tz) -deallocate(wTi,wTj) end subroutine -subroutine fvn_zi_sparse_det(n,nz,T,Ti,Tj,det,status) +subroutine fvn_zi_sparse_det(n,nz,Tx,Tz,Ti,Tj,det,status) implicit none integer(kind=sp_kind), intent(in) :: n,nz -complex(kind=dp_kind),dimension(nz),intent(in) :: T +real(kind=dp_kind),dimension(nz),intent(in) :: Tx,Tz integer(kind=sp_kind),dimension(nz),intent(in) :: Ti,Tj integer(kind=sp_kind), intent(out) :: status real(kind=dp_kind), dimension(3), intent(out) :: det -integer(kind=sp_kind),dimension(:),allocatable :: wTi,wTj -real(kind=dp_kind),dimension(:),allocatable :: Tx,Tz real(kind=dp_kind),dimension(:),allocatable :: Ax,Az integer(kind=sp_kind),dimension(:),allocatable :: Ap,Ai !integer(kind=dp_kind) :: symbolic,numeric @@ -576,19 +522,11 @@ real(kind=dp_kind),dimension(90) :: info real(kind=dp_kind),dimension(20) :: control status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -! Tx and Tz are the real and imaginary parts of T -allocate(wTi(nz),wTj(nz)) -allocate(Tx(nz),Tz(nz)) -Tx=dble(T) -Tz=aimag(T) -wTi=Ti-1 -wTj=Tj-1 allocate(Ax(nz),Az(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_zi_triplet_to_col(n,n,nz,wTi,wTj,Tx,Tz,Ap,Ai,Ax,Az,status) +call umfpack_zi_triplet_to_col(n,n,nz,Ti,Tj,Tx,Tz,Ap,Ai,Ax,Az,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_zl_triplet_to_col : ",trim(umfpack_return_code(status)) @@ -629,8 +567,6 @@ endif call umfpack_zi_free_numeric (numeric) deallocate(Ax,Az) -deallocate(Tx,Tz) -deallocate(wTi,wTj) end subroutine subroutine fvn_dl_sparse_det(n,nz,T,Ti,Tj,det,status) @@ -641,7 +577,6 @@ integer(kind=dp_kind),dimension(nz),intent(in) :: Ti,Tj integer(kind=dp_kind), intent(out) :: status real(kind=dp_kind), dimension(2), intent(out) :: det -integer(kind=dp_kind),dimension(:),allocatable :: wTi,wTj real(kind=dp_kind),dimension(:),allocatable :: A integer(kind=dp_kind),dimension(:),allocatable :: Ap,Ai !integer(kind=dp_kind) :: symbolic,numeric @@ -650,15 +585,11 @@ real(kind=dp_kind),dimension(90) :: info real(kind=dp_kind),dimension(20) :: control status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -allocate(wTi(nz),wTj(nz)) -wTi=Ti-1 -wTj=Tj-1 allocate(A(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_dl_triplet_to_col(n,n,nz,wTi,wTj,T,Ap,Ai,A,status) +call umfpack_dl_triplet_to_col(n,n,nz,Ti,Tj,T,Ap,Ai,A,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_dl_triplet_to_col : ",trim(umfpack_return_code(int(status,kind=sp_kind))) @@ -699,7 +630,6 @@ endif call umfpack_dl_free_numeric (numeric) deallocate(A) -deallocate(wTi,wTj) end subroutine @@ -711,7 +641,6 @@ integer(kind=sp_kind),dimension(nz),intent(in) :: Ti,Tj integer(kind=sp_kind), intent(out) :: status real(kind=dp_kind), dimension(2), intent(out) :: det -integer(kind=sp_kind),dimension(:),allocatable :: wTi,wTj real(kind=dp_kind),dimension(:),allocatable :: A integer(kind=sp_kind),dimension(:),allocatable :: Ap,Ai !integer(kind=dp_kind) :: symbolic,numeric @@ -725,15 +654,11 @@ integer(kind=sp_kind) :: sys status=0 -! we use a working copy of Ti and Tj to perform 1-based to 0-based translation -allocate(wTi(nz),wTj(nz)) -wTi=Ti-1 -wTj=Tj-1 allocate(A(nz)) allocate(Ap(n+1),Ai(nz)) ! perform the triplet to compressed column form -> Ap,Ai,Ax,Az -call umfpack_di_triplet_to_col(n,n,nz,wTi,wTj,T,Ap,Ai,A,status) +call umfpack_di_triplet_to_col(n,n,nz,Ti,Tj,T,Ap,Ai,A,status) ! if status is not zero a problem has occured if (status /= 0) then write(*,*) "Problem during umfpack_di_triplet_to_col : ",trim(umfpack_return_code(status)) @@ -775,7 +700,6 @@ endif call umfpack_di_free_numeric (numeric) deallocate(A) -deallocate(wTi,wTj) end subroutine diff --git a/fvn_test/test_sparse_di.f90 b/fvn_test/test_sparse_di.f90 index 2c2fe0e..2eb2502 100644 --- a/fvn_test/test_sparse_di.f90 +++ b/fvn_test/test_sparse_di.f90 @@ -22,6 +22,11 @@ As=0. do i=1,nz As(Ti(i),Tj(i))=A(i) end do + +! sparse routines must be fed up with 0-based indices +Ti=Ti-1 +Tj=Tj-1 + write(*,*) "Matrix in standard representation :" do i=1,5 write(*,'(5f8.4)') As(i,:) diff --git a/fvn_test/test_sparse_dl.f90 b/fvn_test/test_sparse_dl.f90 index d53c10d..1cb3cf4 100644 --- a/fvn_test/test_sparse_dl.f90 +++ b/fvn_test/test_sparse_dl.f90 @@ -22,6 +22,11 @@ As=0. do i=1,nz As(Ti(i),Tj(i))=A(i) end do + +! sparse routines must be fed up with 0-based indices +Ti=Ti-1 +Tj=Tj-1 + write(*,*) "Matrix in standard representation :" do i=1,5 write(*,'(5f8.4)') As(i,:) diff --git a/fvn_test/test_sparse_zi.f90 b/fvn_test/test_sparse_zi.f90 index 58d6f8e..791affd 100644 --- a/fvn_test/test_sparse_zi.f90 +++ b/fvn_test/test_sparse_zi.f90 @@ -4,9 +4,11 @@ implicit none integer(kind=sp_kind), parameter :: nz=12 integer(kind=sp_kind), parameter :: n=5 complex(kind=dp_kind),dimension(nz) :: A +real(kind=dp_kind),dimension(nz) :: Ax,Az complex(kind=dp_kind),dimension(n,n) :: As integer(kind=sp_kind),dimension(nz) :: Ti,Tj complex(kind=dp_kind),dimension(n) :: B,x +real(kind=dp_kind),dimension(n) :: Bx,Bz integer(kind=sp_kind) :: status,i real(kind=dp_kind),dimension(3) :: det character(len=80) :: fmcmplx @@ -19,12 +21,21 @@ B = (/ (8.,3.), (45.,1.), (-3.,-2.), (3.,0.), (19.,2.) /) Ti = (/ 1,2,1,3,5,2,3,4,5,3,2,5 /) Tj = (/ 1,1,2,2,2,3,3,3,3,4,5,5 /) +Ax=real(A) +Az=aimag(A) +Bx=real(B) +Bz=aimag(B) + ! Reconstruction of the matrix in standard form As=0. do i=1,nz As(Ti(i),Tj(i))=A(i) end do +! sparse routines must be fed up with 0-based indices +Ti=Ti-1 +Tj=Tj-1 + write(*,*) "Matrix in standard representation :" do i=1,5 write(*,fmcmplx) As(i,:) @@ -37,13 +48,13 @@ write(*,fmcmplx) B ! can use either specific interface, fvn_zi_sparse_det ! either generic one fvn_sparse_det -call fvn_zi_sparse_det(n,nz,A,Ti,Tj,det,status) +call fvn_zi_sparse_det(n,nz,Ax,Az,Ti,Tj,det,status) write(*,*) write(*,*) "Sparse Det = ",cmplx(det(1),det(2),kind=dp_kind)*10**det(3) ! can use either specific interface fvn_zi_sparse_solve ! either generic one fvn_sparse_solve ! parameter det is optional -call fvn_zi_sparse_solve(n,nz,A,Ti,Tj,B,x,status,det) +call fvn_zi_sparse_solve(n,nz,Ax,Az,Ti,Tj,Bx,Bz,x,status,det) write(*,*) write(*,*) "Sparse Det as solve option= ",cmplx(det(1),det(2),kind=dp_kind)*10**det(3) write(*,*) diff --git a/fvn_test/test_sparse_zl.f90 b/fvn_test/test_sparse_zl.f90 index 0038012..40df953 100644 --- a/fvn_test/test_sparse_zl.f90 +++ b/fvn_test/test_sparse_zl.f90 @@ -5,9 +5,11 @@ implicit none integer(kind=dp_kind), parameter :: nz=12 integer(kind=dp_kind), parameter :: n=5 complex(kind=dp_kind),dimension(nz) :: A +real(kind=dp_kind),dimension(nz) :: Ax,Az complex(kind=dp_kind),dimension(n,n) :: As integer(kind=dp_kind),dimension(nz) :: Ti,Tj complex(kind=dp_kind),dimension(n) :: B,x +real(kind=dp_kind),dimension(n) :: Bx,Bz integer(kind=dp_kind) :: status,i real(kind=dp_kind),dimension(3) :: det character(len=80) :: fmcmplx @@ -20,12 +22,21 @@ B = (/ (8.,3.), (45.,1.), (-3.,-2.), (3.,0.), (19.,2.) /) Ti = (/ 1,2,1,3,5,2,3,4,5,3,2,5 /) Tj = (/ 1,1,2,2,2,3,3,3,3,4,5,5 /) +Ax=real(A) +Az=aimag(A) +Bx=real(B) +Bz=aimag(B) + ! Reconstruction of the matrix in standard form As=0. do i=1,nz As(Ti(i),Tj(i))=A(i) end do +! sparse routines must be fed up with 0-based indices +Ti=Ti-1 +Tj=Tj-1 + write(*,*) "Matrix in standard representation :" do i=1,5 write(*,fmcmplx) As(i,:) @@ -37,13 +48,13 @@ write(*,*) "Right hand side :" write(*,fmcmplx) B ! can use either specific interface, fvn_zl_sparse_det ! either generic one fvn_sparse_det -call fvn_zl_sparse_det(n,nz,A,Ti,Tj,det,status) +call fvn_zl_sparse_det(n,nz,Ax,Az,Ti,Tj,det,status) write(*,*) write(*,*) "Sparse Det = ",cmplx(det(1),det(2),kind=dp_kind)*10**det(3) ! can use either specific interface fvn_zl_sparse_solve ! either generic one fvn_sparse_solve ! parameter det is optional -call fvn_zl_sparse_solve(n,nz,A,Ti,Tj,B,x,status,det) +call fvn_zl_sparse_solve(n,nz,Ax,Az,Ti,Tj,Bx,Bz,x,status,det) write(*,*) write(*,*) "Sparse Det as solve option= ",cmplx(det(1),det(2),kind=dp_kind)*10**det(3) write(*,*)