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Trying to add sparse matrix code to LK2/REDUCE_KFF_TO_KAA.f90 - Printable Version

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Trying to add sparse matrix code to LK2/REDUCE_KFF_TO_KAA.f90 - ceanwang - 10-14-2020

Hi,

Trying to use SuperLU sparse solver which is from https://github.com/xiaoyeli/superlu

First: Inputs for SuperLU are:
Code:
            !NROW=n=400
            !NCOL=n=400
            !NNZERO=nnz=1920
            !values
            !rowind - row index
            !colptr - column pointer
Have to map MYSTRAN's I_KOO, J_KOO, KOO to these.

Second: Output for SuperLU is b(i), i=1,n after solving. Need to map this b(i) to what MYSTRAN is called.

Help is appreciated.

Cheers

Cean




The code is like this:

Existing Banded:

Code:
         IF (SOLLIB == 'BANDED  ') THEN                    ! Use LAPACK

            KOO_SDIA   = 0
            EQUIL_KOO  = 'N'
            INFO = 0
            CALL SYM_MAT_DECOMP_LAPACK ( SUBR_NAME, 'KOO', 'O ', NDOFO, NTERM_KOO, I_KOO, J_KOO, KOO, 'Y', KOORAT, EQUIL_KOO,      &
                                         RCONDK, DEB_PRT, EQUED, KOO_SDIA, K_INORM, RCOND, KOO_SCALE_FACS, INFO )

Newly added Sparse:

Code:
        ELSE IF (SOLLIB == 'SPARSE  ') THEN

            ! Add sparse matrix code here to decompose matrix KOO
           
            !use SuperLU subroutine hbcode1(nrow, ncol, nnzero, values, rowind, colptr)
            !call hbcode1(n, n, nnz, values, rowind, colptr)
            !NROW=n=400
            !NCOL=n=400
            !NNZERO=nnz=1920
            !values
            !rowind - row index
            !colptr - column pointer

            nrhs = 1
            ldb = n
            do i = 1, n
               b(i) = 1
            enddo

            ! First, factorize the matrix. The factors are stored in *factors* handle.
            iopt = 1
            call c_fortran_dgssv( iopt, n, nnz, nrhs, values, rowind, colptr,
     $                      b, ldb, factors, info )
    
            if (info .eq. 0) then
               write (*,*) 'Factorization succeeded'
            else
               write(*,*) 'INFO from factorization = ', info
            endif

            ! Second, solve the system using the existing factors.
            iopt = 2
            call c_fortran_dgssv( iopt, n, nnz, nrhs, values, rowind, colptr,
     $                      b, ldb, factors, info )

            if (info .eq. 0) then
               write (*,*) 'Solve succeeded'
               write (*,*) (b(i), i=1, 10)
            else
               write(*,*) 'INFO from triangular solve = ', info
            endif

            ! Last, free the storage allocated inside SuperLU
            iopt = 3
            call c_fortran_dgssv( iopt, n, nnz, nrhs, values, rowind, colptr,
     $                      b, ldb, factors, info )

Here is SuperLU's test data g20.rua

https://github.com/xiaoyeli/superlu/blob/master/EXAMPLE/g20.rua

It has 400 rows, 400 columns and 1920 none zero values. The data is arrange as COLPTR, ROWIND and VALUES.


RE: Trying to add sparse matrix code to LK2/REDUCE_KFF_TO_KAA.f90 - Admin - 10-26-2020

Cean,

Is there a reason you are looking into SuplerLU? Perhaps because it is native Fortran? PaStiX looks to be a great option, but it is coded in C. CalculiX (coded in Fortran) uses PaStiX so there is a way to incorporate it. Here are some papers about solvers. The 2017 paper discusses SuperLU and I made a screenshot of some notable comments.

I also contacted Bill and he is going to look into it.

https://www.mystran.com/docs/Solver_Papers.zip

[Image: SuperLU.jpg]


RE: Trying to add sparse matrix code to LK2/REDUCE_KFF_TO_KAA.f90 - ceanwang - 10-27-2020

Yes, just want to try a easy build case.

There could setup a sparse solver switch, like:

If SparseSolver = 'SuperLU' then
  ...
else If SparseSolver = 'PaStiX' then
  ...
else
   print 'Not supported yet'
endif


RE: Trying to add sparse matrix code to LK2/REDUCE_KFF_TO_KAA.f90 - Admin - 10-28-2020

Sure, that is a good idea. Have you seen this document? It might help.

https://mystran.com/notes/Sparse_Solver_Notes.pdf


RE: Trying to add sparse matrix code to LK2/REDUCE_KFF_TO_KAA.f90 - ceanwang - 10-28-2020

(10-28-2020, 04:07 AM)Admin Wrote: Sure, that is a good idea. Have you seen this document? It might help.

https://mystran.com/notes/Sparse_Solver_Notes.pdf

I am following it.