xref: /petsc/src/mat/impls/aij/seq/superlu/superlu.c (revision 5c9eb25f753630cfd361293e05e7358a00a954ac)
1be1d678aSKris Buschelman #define PETSCMAT_DLL
214b396bbSKris Buschelman 
35a46d3faSBarry Smith /*  --------------------------------------------------------------------
45a46d3faSBarry Smith 
55a46d3faSBarry Smith      This file implements a subclass of the SeqAIJ matrix class that uses
65a46d3faSBarry Smith      the SuperLU 3.0 sparse solver. You can use this as a starting point for
75a46d3faSBarry Smith      implementing your own subclass of a PETSc matrix class.
85a46d3faSBarry Smith 
95a46d3faSBarry Smith      This demonstrates a way to make an implementation inheritence of a PETSc
105a46d3faSBarry Smith      matrix type. This means constructing a new matrix type (SuperLU) by changing some
115a46d3faSBarry Smith      of the methods of the previous type (SeqAIJ), adding additional data, and possibly
125a46d3faSBarry Smith      additional method. (See any book on object oriented programming).
1314b396bbSKris Buschelman */
1414b396bbSKris Buschelman 
155a46d3faSBarry Smith /*
165a46d3faSBarry Smith      Defines the data structure for the base matrix type (SeqAIJ)
175a46d3faSBarry Smith */
1814b396bbSKris Buschelman #include "src/mat/impls/aij/seq/aij.h"
1914b396bbSKris Buschelman 
205a46d3faSBarry Smith /*
215a46d3faSBarry Smith      SuperLU include files
225a46d3faSBarry Smith */
2314b396bbSKris Buschelman EXTERN_C_BEGIN
2414b396bbSKris Buschelman #if defined(PETSC_USE_COMPLEX)
2566f57492SHong Zhang #include "slu_zdefs.h"
2614b396bbSKris Buschelman #else
2766f57492SHong Zhang #include "slu_ddefs.h"
2814b396bbSKris Buschelman #endif
2966f57492SHong Zhang #include "slu_util.h"
3014b396bbSKris Buschelman EXTERN_C_END
3114b396bbSKris Buschelman 
325a46d3faSBarry Smith /*
335a46d3faSBarry Smith      This is the data we are "ADDING" to the SeqAIJ matrix type to get the SuperLU matrix type
345a46d3faSBarry Smith */
3514b396bbSKris Buschelman typedef struct {
3675af56d4SHong Zhang   SuperMatrix       A,L,U,B,X;
3775af56d4SHong Zhang   superlu_options_t options;
38da7a1d00SHong Zhang   PetscInt          *perm_c; /* column permutation vector */
39da7a1d00SHong Zhang   PetscInt          *perm_r; /* row permutations from partial pivoting */
40da7a1d00SHong Zhang   PetscInt          *etree;
41da7a1d00SHong Zhang   PetscReal         *R, *C;
4275af56d4SHong Zhang   char              equed[1];
43da7a1d00SHong Zhang   PetscInt          lwork;
4475af56d4SHong Zhang   void              *work;
45da7a1d00SHong Zhang   PetscReal         rpg, rcond;
4675af56d4SHong Zhang   mem_usage_t       mem_usage;
4775af56d4SHong Zhang   MatStructure      flg;
4814b396bbSKris Buschelman 
4914b396bbSKris Buschelman   /* Flag to clean up (non-global) SuperLU objects during Destroy */
5014b396bbSKris Buschelman   PetscTruth CleanUpSuperLU;
51f0c56d0fSKris Buschelman } Mat_SuperLU;
5214b396bbSKris Buschelman 
53e0e586b9SHong Zhang extern PetscErrorCode MatFactorInfo_SuperLU(Mat,PetscViewer);
54e0e586b9SHong Zhang extern PetscErrorCode MatLUFactorNumeric_SuperLU(Mat,MatFactorInfo *,Mat *);
55e0e586b9SHong Zhang extern PetscErrorCode MatDestroy_SuperLU(Mat);
56e0e586b9SHong Zhang extern PetscErrorCode MatView_SuperLU(Mat,PetscViewer);
57e0e586b9SHong Zhang extern PetscErrorCode MatAssemblyEnd_SuperLU(Mat,MatAssemblyType);
58e0e586b9SHong Zhang extern PetscErrorCode MatSolve_SuperLU(Mat,Vec,Vec);
59e0e586b9SHong Zhang extern PetscErrorCode MatSolveTranspose_SuperLU(Mat,Vec,Vec);
60e0e586b9SHong Zhang extern PetscErrorCode MatLUFactorSymbolic_SuperLU(Mat,IS,IS,MatFactorInfo *,Mat *);
61e0e586b9SHong Zhang extern PetscErrorCode MatDuplicate_SuperLU(Mat, MatDuplicateOption, Mat *);
62e0e586b9SHong Zhang 
635a46d3faSBarry Smith /*
645a46d3faSBarry Smith     Utility function
655a46d3faSBarry Smith */
665a46d3faSBarry Smith #undef __FUNCT__
675a46d3faSBarry Smith #define __FUNCT__ "MatFactorInfo_SuperLU"
685a46d3faSBarry Smith PetscErrorCode MatFactorInfo_SuperLU(Mat A,PetscViewer viewer)
695a46d3faSBarry Smith {
705a46d3faSBarry Smith   Mat_SuperLU       *lu= (Mat_SuperLU*)A->spptr;
715a46d3faSBarry Smith   PetscErrorCode    ierr;
725a46d3faSBarry Smith   superlu_options_t options;
735a46d3faSBarry Smith 
745a46d3faSBarry Smith   PetscFunctionBegin;
755a46d3faSBarry Smith   /* check if matrix is superlu_dist type */
765a46d3faSBarry Smith   if (A->ops->solve != MatSolve_SuperLU) PetscFunctionReturn(0);
775a46d3faSBarry Smith 
785a46d3faSBarry Smith   options = lu->options;
795a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"SuperLU run parameters:\n");CHKERRQ(ierr);
805a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  Equil: %s\n",(options.Equil != NO) ? "YES": "NO");CHKERRQ(ierr);
815a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  ColPerm: %D\n",options.ColPerm);CHKERRQ(ierr);
825a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  IterRefine: %D\n",options.IterRefine);CHKERRQ(ierr);
835a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  SymmetricMode: %s\n",(options.SymmetricMode != NO) ? "YES": "NO");CHKERRQ(ierr);
845a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  DiagPivotThresh: %g\n",options.DiagPivotThresh);CHKERRQ(ierr);
855a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  PivotGrowth: %s\n",(options.PivotGrowth != NO) ? "YES": "NO");CHKERRQ(ierr);
865a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  ConditionNumber: %s\n",(options.ConditionNumber != NO) ? "YES": "NO");CHKERRQ(ierr);
875a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  RowPerm: %D\n",options.RowPerm);CHKERRQ(ierr);
885a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  ReplaceTinyPivot: %s\n",(options.ReplaceTinyPivot != NO) ? "YES": "NO");CHKERRQ(ierr);
895a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  PrintStat: %s\n",(options.PrintStat != NO) ? "YES": "NO");CHKERRQ(ierr);
905a46d3faSBarry Smith   ierr = PetscViewerASCIIPrintf(viewer,"  lwork: %D\n",lu->lwork);CHKERRQ(ierr);
915a46d3faSBarry Smith 
925a46d3faSBarry Smith   PetscFunctionReturn(0);
935a46d3faSBarry Smith }
945a46d3faSBarry Smith 
955a46d3faSBarry Smith /*
965a46d3faSBarry Smith     These are the methods provided to REPLACE the corresponding methods of the
975a46d3faSBarry Smith    SeqAIJ matrix class. Other methods of SeqAIJ are not replaced
985a46d3faSBarry Smith */
995a46d3faSBarry Smith #undef __FUNCT__
1005a46d3faSBarry Smith #define __FUNCT__ "MatLUFactorNumeric_SuperLU"
1015a46d3faSBarry Smith PetscErrorCode MatLUFactorNumeric_SuperLU(Mat A,MatFactorInfo *info,Mat *F)
1025a46d3faSBarry Smith {
1035a46d3faSBarry Smith   Mat_SeqAIJ     *aa = (Mat_SeqAIJ*)(A)->data;
1045a46d3faSBarry Smith   Mat_SuperLU    *lu = (Mat_SuperLU*)(*F)->spptr;
1055a46d3faSBarry Smith   PetscErrorCode ierr;
1065a46d3faSBarry Smith   PetscInt       sinfo;
1075a46d3faSBarry Smith   SuperLUStat_t  stat;
1085a46d3faSBarry Smith   PetscReal      ferr, berr;
1095a46d3faSBarry Smith   NCformat       *Ustore;
1105a46d3faSBarry Smith   SCformat       *Lstore;
1115a46d3faSBarry Smith 
1125a46d3faSBarry Smith   PetscFunctionBegin;
1135a46d3faSBarry Smith   if (lu->flg == SAME_NONZERO_PATTERN){ /* successing numerical factorization */
1145a46d3faSBarry Smith     lu->options.Fact = SamePattern;
1155a46d3faSBarry Smith     /* Ref: ~SuperLU_3.0/EXAMPLE/dlinsolx2.c */
1165a46d3faSBarry Smith     Destroy_SuperMatrix_Store(&lu->A);
1175a46d3faSBarry Smith     if ( lu->lwork >= 0 ) {
1185a46d3faSBarry Smith       Destroy_SuperNode_Matrix(&lu->L);
1195a46d3faSBarry Smith       Destroy_CompCol_Matrix(&lu->U);
1205a46d3faSBarry Smith       lu->options.Fact = SamePattern;
1215a46d3faSBarry Smith     }
1225a46d3faSBarry Smith   }
1235a46d3faSBarry Smith 
1245a46d3faSBarry Smith   /* Create the SuperMatrix for lu->A=A^T:
1255a46d3faSBarry Smith        Since SuperLU likes column-oriented matrices,we pass it the transpose,
1265a46d3faSBarry Smith        and then solve A^T X = B in MatSolve(). */
1275a46d3faSBarry Smith #if defined(PETSC_USE_COMPLEX)
1285a46d3faSBarry Smith   zCreate_CompCol_Matrix(&lu->A,A->cmap.n,A->rmap.n,aa->nz,(doublecomplex*)aa->a,aa->j,aa->i,
1295a46d3faSBarry Smith                            SLU_NC,SLU_Z,SLU_GE);
1305a46d3faSBarry Smith #else
1315a46d3faSBarry Smith   dCreate_CompCol_Matrix(&lu->A,A->cmap.n,A->rmap.n,aa->nz,aa->a,aa->j,aa->i,
1325a46d3faSBarry Smith                            SLU_NC,SLU_D,SLU_GE);
1335a46d3faSBarry Smith #endif
1345a46d3faSBarry Smith 
1355a46d3faSBarry Smith   /* Initialize the statistics variables. */
1365a46d3faSBarry Smith   StatInit(&stat);
1375a46d3faSBarry Smith 
1385a46d3faSBarry Smith   /* Numerical factorization */
1395a46d3faSBarry Smith   lu->B.ncol = 0;  /* Indicate not to solve the system */
1405a46d3faSBarry Smith #if defined(PETSC_USE_COMPLEX)
1415a46d3faSBarry Smith    zgssvx(&lu->options, &lu->A, lu->perm_c, lu->perm_r, lu->etree, lu->equed, lu->R, lu->C,
1425a46d3faSBarry Smith            &lu->L, &lu->U, lu->work, lu->lwork, &lu->B, &lu->X, &lu->rpg, &lu->rcond, &ferr, &berr,
1435a46d3faSBarry Smith            &lu->mem_usage, &stat, &sinfo);
1445a46d3faSBarry Smith #else
1455a46d3faSBarry Smith   dgssvx(&lu->options, &lu->A, lu->perm_c, lu->perm_r, lu->etree, lu->equed, lu->R, lu->C,
1465a46d3faSBarry Smith            &lu->L, &lu->U, lu->work, lu->lwork, &lu->B, &lu->X, &lu->rpg, &lu->rcond, &ferr, &berr,
1475a46d3faSBarry Smith            &lu->mem_usage, &stat, &sinfo);
1485a46d3faSBarry Smith #endif
1495a46d3faSBarry Smith   if ( !sinfo || sinfo == lu->A.ncol+1 ) {
1505a46d3faSBarry Smith     if ( lu->options.PivotGrowth )
1515a46d3faSBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"  Recip. pivot growth = %e\n", lu->rpg);
1525a46d3faSBarry Smith     if ( lu->options.ConditionNumber )
1535a46d3faSBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"  Recip. condition number = %e\n", lu->rcond);
1545a46d3faSBarry Smith   } else if ( sinfo > 0 ){
1555a46d3faSBarry Smith     if ( lu->lwork == -1 ) {
1565a46d3faSBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"  ** Estimated memory: %D bytes\n", sinfo - lu->A.ncol);
1575a46d3faSBarry Smith     } else {
1585a46d3faSBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"  Warning: gssvx() returns info %D\n",sinfo);
1595a46d3faSBarry Smith     }
1605a46d3faSBarry Smith   } else { /* sinfo < 0 */
1615a46d3faSBarry Smith     SETERRQ2(PETSC_ERR_LIB, "info = %D, the %D-th argument in gssvx() had an illegal value", sinfo,-sinfo);
1625a46d3faSBarry Smith   }
1635a46d3faSBarry Smith 
1645a46d3faSBarry Smith   if ( lu->options.PrintStat ) {
1655a46d3faSBarry Smith     ierr = PetscPrintf(PETSC_COMM_SELF,"MatLUFactorNumeric_SuperLU():\n");
1665a46d3faSBarry Smith     StatPrint(&stat);
1675a46d3faSBarry Smith     Lstore = (SCformat *) lu->L.Store;
1685a46d3faSBarry Smith     Ustore = (NCformat *) lu->U.Store;
1695a46d3faSBarry Smith     ierr = PetscPrintf(PETSC_COMM_SELF,"  No of nonzeros in factor L = %D\n", Lstore->nnz);
1705a46d3faSBarry Smith     ierr = PetscPrintf(PETSC_COMM_SELF,"  No of nonzeros in factor U = %D\n", Ustore->nnz);
1715a46d3faSBarry Smith     ierr = PetscPrintf(PETSC_COMM_SELF,"  No of nonzeros in L+U = %D\n", Lstore->nnz + Ustore->nnz - lu->A.ncol);
1725a46d3faSBarry Smith     ierr = PetscPrintf(PETSC_COMM_SELF,"  L\\U MB %.3f\ttotal MB needed %.3f\texpansions %D\n",
1735a46d3faSBarry Smith 	       lu->mem_usage.for_lu/1e6, lu->mem_usage.total_needed/1e6,
1745a46d3faSBarry Smith 	       lu->mem_usage.expansions);
1755a46d3faSBarry Smith   }
1765a46d3faSBarry Smith   StatFree(&stat);
1775a46d3faSBarry Smith 
1785a46d3faSBarry Smith   lu->flg = SAME_NONZERO_PATTERN;
1795a46d3faSBarry Smith   PetscFunctionReturn(0);
1805a46d3faSBarry Smith }
1815a46d3faSBarry Smith 
18214b396bbSKris Buschelman #undef __FUNCT__
183f0c56d0fSKris Buschelman #define __FUNCT__ "MatDestroy_SuperLU"
184dfbe8321SBarry Smith PetscErrorCode MatDestroy_SuperLU(Mat A)
18514b396bbSKris Buschelman {
186dfbe8321SBarry Smith   PetscErrorCode ierr;
187f0c56d0fSKris Buschelman   Mat_SuperLU    *lu=(Mat_SuperLU*)A->spptr;
18814b396bbSKris Buschelman 
18914b396bbSKris Buschelman   PetscFunctionBegin;
19075af56d4SHong Zhang   if (lu->CleanUpSuperLU) { /* Free the SuperLU datastructures */
19175af56d4SHong Zhang     Destroy_SuperMatrix_Store(&lu->A);
19275af56d4SHong Zhang     Destroy_SuperMatrix_Store(&lu->B);
19375af56d4SHong Zhang     Destroy_SuperMatrix_Store(&lu->X);
1949ce50919SHong Zhang 
1959ce50919SHong Zhang     ierr = PetscFree(lu->etree);CHKERRQ(ierr);
1969ce50919SHong Zhang     ierr = PetscFree(lu->perm_r);CHKERRQ(ierr);
1979ce50919SHong Zhang     ierr = PetscFree(lu->perm_c);CHKERRQ(ierr);
1989ce50919SHong Zhang     ierr = PetscFree(lu->R);CHKERRQ(ierr);
1999ce50919SHong Zhang     ierr = PetscFree(lu->C);CHKERRQ(ierr);
20075af56d4SHong Zhang     if ( lu->lwork >= 0 ) {
201fb3e25aaSKris Buschelman       Destroy_SuperNode_Matrix(&lu->L);
202fb3e25aaSKris Buschelman       Destroy_CompCol_Matrix(&lu->U);
20375af56d4SHong Zhang     }
204fb3e25aaSKris Buschelman   }
205b24902e0SBarry Smith   ierr = MatDestroy_SeqAIJ(A);CHKERRQ(ierr);
20614b396bbSKris Buschelman   PetscFunctionReturn(0);
20714b396bbSKris Buschelman }
20814b396bbSKris Buschelman 
20914b396bbSKris Buschelman #undef __FUNCT__
210f0c56d0fSKris Buschelman #define __FUNCT__ "MatView_SuperLU"
211dfbe8321SBarry Smith PetscErrorCode MatView_SuperLU(Mat A,PetscViewer viewer)
21214b396bbSKris Buschelman {
213dfbe8321SBarry Smith   PetscErrorCode    ierr;
21432077d6dSBarry Smith   PetscTruth        iascii;
21514b396bbSKris Buschelman   PetscViewerFormat format;
216f0c56d0fSKris Buschelman   Mat_SuperLU       *lu=(Mat_SuperLU*)(A->spptr);
21714b396bbSKris Buschelman 
21814b396bbSKris Buschelman   PetscFunctionBegin;
219b24902e0SBarry Smith   ierr = MatView_SeqAIJ(A,viewer);CHKERRQ(ierr);
22014b396bbSKris Buschelman 
22132077d6dSBarry Smith   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
22232077d6dSBarry Smith   if (iascii) {
22314b396bbSKris Buschelman     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
2242f59403fSHong Zhang     if (format == PETSC_VIEWER_ASCII_INFO) {
225f0c56d0fSKris Buschelman       ierr = MatFactorInfo_SuperLU(A,viewer);CHKERRQ(ierr);
22614b396bbSKris Buschelman     }
22714b396bbSKris Buschelman   }
22814b396bbSKris Buschelman   PetscFunctionReturn(0);
22914b396bbSKris Buschelman }
23014b396bbSKris Buschelman 
23114b396bbSKris Buschelman 
23214b396bbSKris Buschelman #undef __FUNCT__
233c29e884eSHong Zhang #define __FUNCT__ "MatSolve_SuperLU_Private"
234c29e884eSHong Zhang PetscErrorCode MatSolve_SuperLU_Private(Mat A,Vec b,Vec x)
23514b396bbSKris Buschelman {
236f0c56d0fSKris Buschelman   Mat_SuperLU    *lu = (Mat_SuperLU*)A->spptr;
23775af56d4SHong Zhang   PetscScalar    *barray,*xarray;
238dfbe8321SBarry Smith   PetscErrorCode ierr;
239da7a1d00SHong Zhang   PetscInt       info,i;
24075af56d4SHong Zhang   SuperLUStat_t  stat;
241da7a1d00SHong Zhang   PetscReal      ferr,berr;
24214b396bbSKris Buschelman 
24314b396bbSKris Buschelman   PetscFunctionBegin;
244937a6b0eSHong Zhang   if ( lu->lwork == -1 ) {
245937a6b0eSHong Zhang     PetscFunctionReturn(0);
246937a6b0eSHong Zhang   }
24775af56d4SHong Zhang   lu->B.ncol = 1;   /* Set the number of right-hand side */
24875af56d4SHong Zhang   ierr = VecGetArray(b,&barray);CHKERRQ(ierr);
24975af56d4SHong Zhang   ierr = VecGetArray(x,&xarray);CHKERRQ(ierr);
2505fe6150dSHong Zhang 
2515fe6150dSHong Zhang #if defined(PETSC_USE_COMPLEX)
2525fe6150dSHong Zhang   ((DNformat*)lu->B.Store)->nzval = (doublecomplex*)barray;
2535fe6150dSHong Zhang   ((DNformat*)lu->X.Store)->nzval = (doublecomplex*)xarray;
2545fe6150dSHong Zhang #else
2555fe6150dSHong Zhang   ((DNformat*)lu->B.Store)->nzval = barray;
25675af56d4SHong Zhang   ((DNformat*)lu->X.Store)->nzval = xarray;
2575fe6150dSHong Zhang #endif
25875af56d4SHong Zhang 
25975af56d4SHong Zhang   /* Initialize the statistics variables. */
26075af56d4SHong Zhang   StatInit(&stat);
26175af56d4SHong Zhang 
26275af56d4SHong Zhang   lu->options.Fact  = FACTORED; /* Indicate the factored form of A is supplied. */
2638914a3f7SHong Zhang #if defined(PETSC_USE_COMPLEX)
2648914a3f7SHong Zhang   zgssvx(&lu->options, &lu->A, lu->perm_c, lu->perm_r, lu->etree, lu->equed, lu->R, lu->C,
2658914a3f7SHong Zhang            &lu->L, &lu->U, lu->work, lu->lwork, &lu->B, &lu->X, &lu->rpg, &lu->rcond, &ferr, &berr,
2668914a3f7SHong Zhang            &lu->mem_usage, &stat, &info);
2678914a3f7SHong Zhang #else
26875af56d4SHong Zhang   dgssvx(&lu->options, &lu->A, lu->perm_c, lu->perm_r, lu->etree, lu->equed, lu->R, lu->C,
26975af56d4SHong Zhang            &lu->L, &lu->U, lu->work, lu->lwork, &lu->B, &lu->X, &lu->rpg, &lu->rcond, &ferr, &berr,
27075af56d4SHong Zhang            &lu->mem_usage, &stat, &info);
2718914a3f7SHong Zhang #endif
27275af56d4SHong Zhang   ierr = VecRestoreArray(b,&barray);CHKERRQ(ierr);
27375af56d4SHong Zhang   ierr = VecRestoreArray(x,&xarray);CHKERRQ(ierr);
27475af56d4SHong Zhang 
275958c9bccSBarry Smith   if ( !info || info == lu->A.ncol+1 ) {
27675af56d4SHong Zhang     if ( lu->options.IterRefine ) {
2778914a3f7SHong Zhang       ierr = PetscPrintf(PETSC_COMM_SELF,"Iterative Refinement:\n");
2788914a3f7SHong Zhang       ierr = PetscPrintf(PETSC_COMM_SELF,"  %8s%8s%16s%16s\n", "rhs", "Steps", "FERR", "BERR");
27975af56d4SHong Zhang       for (i = 0; i < 1; ++i)
2808914a3f7SHong Zhang         ierr = PetscPrintf(PETSC_COMM_SELF,"  %8d%8d%16e%16e\n", i+1, stat.RefineSteps, ferr, berr);
28175af56d4SHong Zhang     }
2828914a3f7SHong Zhang   } else if ( info > 0 ){
2838914a3f7SHong Zhang     if ( lu->lwork == -1 ) {
28477431f27SBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"  ** Estimated memory: %D bytes\n", info - lu->A.ncol);
2858914a3f7SHong Zhang     } else {
28677431f27SBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"  Warning: gssvx() returns info %D\n",info);
2878914a3f7SHong Zhang     }
2888914a3f7SHong Zhang   } else if (info < 0){
28977431f27SBarry Smith     SETERRQ2(PETSC_ERR_LIB, "info = %D, the %D-th argument in gssvx() had an illegal value", info,-info);
29014b396bbSKris Buschelman   }
29114b396bbSKris Buschelman 
2928914a3f7SHong Zhang   if ( lu->options.PrintStat ) {
2938914a3f7SHong Zhang     ierr = PetscPrintf(PETSC_COMM_SELF,"MatSolve__SuperLU():\n");
2948914a3f7SHong Zhang     StatPrint(&stat);
2958914a3f7SHong Zhang   }
29675af56d4SHong Zhang   StatFree(&stat);
29775af56d4SHong Zhang   PetscFunctionReturn(0);
29875af56d4SHong Zhang }
29914b396bbSKris Buschelman 
30014b396bbSKris Buschelman #undef __FUNCT__
301c29e884eSHong Zhang #define __FUNCT__ "MatSolve_SuperLU"
302c29e884eSHong Zhang PetscErrorCode MatSolve_SuperLU(Mat A,Vec b,Vec x)
303c29e884eSHong Zhang {
304c29e884eSHong Zhang   Mat_SuperLU    *lu = (Mat_SuperLU*)A->spptr;
305c29e884eSHong Zhang   PetscErrorCode ierr;
306c29e884eSHong Zhang 
307c29e884eSHong Zhang   PetscFunctionBegin;
308c29e884eSHong Zhang   lu->options.Trans = TRANS;
309c29e884eSHong Zhang   ierr = MatSolve_SuperLU_Private(A,b,x);CHKERRQ(ierr);
310c29e884eSHong Zhang   PetscFunctionReturn(0);
311c29e884eSHong Zhang }
312c29e884eSHong Zhang 
313c29e884eSHong Zhang #undef __FUNCT__
314c7c1fe80SHong Zhang #define __FUNCT__ "MatSolveTranspose_SuperLU"
315c7c1fe80SHong Zhang PetscErrorCode MatSolveTranspose_SuperLU(Mat A,Vec b,Vec x)
316c7c1fe80SHong Zhang {
317c7c1fe80SHong Zhang   Mat_SuperLU    *lu = (Mat_SuperLU*)A->spptr;
318c7c1fe80SHong Zhang   PetscErrorCode ierr;
319c7c1fe80SHong Zhang 
320c7c1fe80SHong Zhang   PetscFunctionBegin;
321c7c1fe80SHong Zhang   lu->options.Trans = NOTRANS;
322c29e884eSHong Zhang   ierr = MatSolve_SuperLU_Private(A,b,x);CHKERRQ(ierr);
323c7c1fe80SHong Zhang   PetscFunctionReturn(0);
324c7c1fe80SHong Zhang }
325c7c1fe80SHong Zhang 
32614b396bbSKris Buschelman 
32714b396bbSKris Buschelman /*
32814b396bbSKris Buschelman    Note the r permutation is ignored
32914b396bbSKris Buschelman */
33014b396bbSKris Buschelman #undef __FUNCT__
331f0c56d0fSKris Buschelman #define __FUNCT__ "MatLUFactorSymbolic_SuperLU"
332dfbe8321SBarry Smith PetscErrorCode MatLUFactorSymbolic_SuperLU(Mat A,IS r,IS c,MatFactorInfo *info,Mat *F)
33314b396bbSKris Buschelman {
334b24902e0SBarry Smith   Mat_SuperLU    *lu = (Mat_SuperLU*)((*F)->spptr);
335b24902e0SBarry Smith   PetscErrorCode ierr;
336b24902e0SBarry Smith   PetscInt       m=A->rmap.n,n=A->cmap.n,indx;
337b24902e0SBarry Smith 
338b24902e0SBarry Smith   PetscFunctionBegin;
339b24902e0SBarry Smith 
340b24902e0SBarry Smith   /* Allocate spaces (notice sizes are for the transpose) */
341b24902e0SBarry Smith   ierr = PetscMalloc(m*sizeof(PetscInt),&lu->etree);CHKERRQ(ierr);
342b24902e0SBarry Smith   ierr = PetscMalloc(n*sizeof(PetscInt),&lu->perm_r);CHKERRQ(ierr);
343b24902e0SBarry Smith   ierr = PetscMalloc(m*sizeof(PetscInt),&lu->perm_c);CHKERRQ(ierr);
344b24902e0SBarry Smith   ierr = PetscMalloc(n*sizeof(PetscInt),&lu->R);CHKERRQ(ierr);
345b24902e0SBarry Smith   ierr = PetscMalloc(m*sizeof(PetscInt),&lu->C);CHKERRQ(ierr);
346b24902e0SBarry Smith 
347b24902e0SBarry Smith   /* create rhs and solution x without allocate space for .Store */
348b24902e0SBarry Smith #if defined(PETSC_USE_COMPLEX)
349b24902e0SBarry Smith   zCreate_Dense_Matrix(&lu->B, m, 1, PETSC_NULL, m, SLU_DN, SLU_Z, SLU_GE);
350b24902e0SBarry Smith   zCreate_Dense_Matrix(&lu->X, m, 1, PETSC_NULL, m, SLU_DN, SLU_Z, SLU_GE);
351b24902e0SBarry Smith #else
352b24902e0SBarry Smith   dCreate_Dense_Matrix(&lu->B, m, 1, PETSC_NULL, m, SLU_DN, SLU_D, SLU_GE);
353b24902e0SBarry Smith   dCreate_Dense_Matrix(&lu->X, m, 1, PETSC_NULL, m, SLU_DN, SLU_D, SLU_GE);
354b24902e0SBarry Smith #endif
355b24902e0SBarry Smith 
356b24902e0SBarry Smith   lu->flg            = DIFFERENT_NONZERO_PATTERN;
357b24902e0SBarry Smith   lu->CleanUpSuperLU = PETSC_TRUE;
358b24902e0SBarry Smith   PetscFunctionReturn(0);
359b24902e0SBarry Smith }
360b24902e0SBarry Smith 
361b24902e0SBarry Smith 
362b24902e0SBarry Smith /*MC
363*5c9eb25fSBarry Smith   MAT_SOLVER_SUPERLU = "superlu" - A matrix type providing direct solvers (LU) for sequential matrices
364b24902e0SBarry Smith   via the external package SuperLU.
365b24902e0SBarry Smith 
366*5c9eb25fSBarry Smith   Use config/configure.py --download-superlu to have PETSc installed with SuperLU
367b24902e0SBarry Smith 
368b24902e0SBarry Smith   Options Database Keys:
369*5c9eb25fSBarry Smith + -mat_superlu_ordering <0,1,2,3> - 0: natural ordering,
370b24902e0SBarry Smith                                     1: MMD applied to A'*A,
371b24902e0SBarry Smith                                     2: MMD applied to A'+A,
372b24902e0SBarry Smith                                     3: COLAMD, approximate minimum degree column ordering
373b24902e0SBarry Smith . -mat_superlu_iterrefine - have SuperLU do iterative refinement after the triangular solve
374b24902e0SBarry Smith                           choices: NOREFINE, SINGLE, DOUBLE, EXTRA; default is NOREFINE
375b24902e0SBarry Smith - -mat_superlu_printstat - print SuperLU statistics about the factorization
376b24902e0SBarry Smith 
377*5c9eb25fSBarry Smith    Notes: Do not confuse this with MAT_SOLVER_SUPERLU_DIST which is for parallel sparse solves
378*5c9eb25fSBarry Smith 
379b24902e0SBarry Smith    Level: beginner
380b24902e0SBarry Smith 
381*5c9eb25fSBarry Smith .seealso: PCLU, MAT_SOLVER_SUPERLU_DIST, MAT_SOLVER_MUMPS, MAT_SOLVER_SPOOLES
382b24902e0SBarry Smith M*/
383b24902e0SBarry Smith 
384*5c9eb25fSBarry Smith EXTERN_C_BEGIN
385b24902e0SBarry Smith #undef __FUNCT__
386b24902e0SBarry Smith #define __FUNCT__ "MatGetFactor_seqaij_superlu"
387*5c9eb25fSBarry Smith PetscErrorCode MatGetFactor_seqaij_superlu(Mat A,MatFactorType ftype,Mat *F)
388b24902e0SBarry Smith {
38914b396bbSKris Buschelman   Mat            B;
390f0c56d0fSKris Buschelman   Mat_SuperLU    *lu;
3916849ba73SBarry Smith   PetscErrorCode ierr;
3922a4c71feSBarry Smith   PetscInt       m=A->rmap.n,n=A->cmap.n,indx;
3939ce50919SHong Zhang   PetscTruth     flg;
3945ca28756SHong Zhang   const char     *colperm[]={"NATURAL","MMD_ATA","MMD_AT_PLUS_A","COLAMD"}; /* MY_PERMC - not supported by the petsc interface yet */
3955ca28756SHong Zhang   const char     *iterrefine[]={"NOREFINE", "SINGLE", "DOUBLE", "EXTRA"};
3965ca28756SHong Zhang   const char     *rowperm[]={"NOROWPERM", "LargeDiag"}; /* MY_PERMC - not supported by the petsc interface yet */
39714b396bbSKris Buschelman 
39814b396bbSKris Buschelman   PetscFunctionBegin;
3997adad957SLisandro Dalcin   ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
4002a4c71feSBarry Smith   ierr = MatSetSizes(B,A->rmap.n,A->cmap.n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
4017adad957SLisandro Dalcin   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
402899d7b4fSKris Buschelman   ierr = MatSeqAIJSetPreallocation(B,0,PETSC_NULL);CHKERRQ(ierr);
403f0c56d0fSKris Buschelman 
404f0c56d0fSKris Buschelman   B->ops->lufactornumeric  = MatLUFactorNumeric_SuperLU;
405b24902e0SBarry Smith   B->ops->lufactorsymbolic = MatLUFactorSymbolic_SuperLU;
406f0c56d0fSKris Buschelman   B->ops->solve            = MatSolve_SuperLU;
407c7c1fe80SHong Zhang   B->ops->solvetranspose   = MatSolveTranspose_SuperLU;
408b24902e0SBarry Smith   B->ops->destroy          = MatDestroy_SuperLU;
409*5c9eb25fSBarry Smith   B->factor               = MAT_FACTOR_LU;
41094b7f48cSBarry Smith   B->assembled            = PETSC_TRUE;  /* required by -ksp_view */
411*5c9eb25fSBarry Smith   B->preallocated         = PETSC_TRUE;
41214b396bbSKris Buschelman 
413b24902e0SBarry Smith   ierr = PetscNewLog(B,Mat_SuperLU,&lu);CHKERRQ(ierr);
4149ce50919SHong Zhang   set_default_options(&lu->options);
4158914a3f7SHong Zhang   /* equilibration causes error in solve(), thus not supported here. See dgssvx.c for possible reason. */
4168914a3f7SHong Zhang   lu->options.Equil = NO;
4179ce50919SHong Zhang   lu->options.PrintStat = NO;
4188914a3f7SHong Zhang   lu->lwork = 0;   /* allocate space internally by system malloc */
4199ce50919SHong Zhang 
4207adad957SLisandro Dalcin   ierr = PetscOptionsBegin(((PetscObject)A)->comm,((PetscObject)A)->prefix,"SuperLU Options","Mat");CHKERRQ(ierr);
4218914a3f7SHong Zhang     ierr = PetscOptionsEList("-mat_superlu_colperm","ColPerm","None",colperm,4,colperm[3],&indx,&flg);CHKERRQ(ierr);
4229ce50919SHong Zhang     if (flg) {lu->options.ColPerm = (colperm_t)indx;}
4238914a3f7SHong Zhang     ierr = PetscOptionsEList("-mat_superlu_iterrefine","IterRefine","None",iterrefine,4,iterrefine[0],&indx,&flg);CHKERRQ(ierr);
4249ce50919SHong Zhang     if (flg) { lu->options.IterRefine = (IterRefine_t)indx;}
4254dc4c822SBarry Smith     ierr = PetscOptionsTruth("-mat_superlu_symmetricmode","SymmetricMode","None",PETSC_FALSE,&flg,0);CHKERRQ(ierr);
4269ce50919SHong Zhang     if (flg) lu->options.SymmetricMode = YES;
4278914a3f7SHong Zhang     ierr = PetscOptionsReal("-mat_superlu_diagpivotthresh","DiagPivotThresh","None",lu->options.DiagPivotThresh,&lu->options.DiagPivotThresh,PETSC_NULL);CHKERRQ(ierr);
4284dc4c822SBarry Smith     ierr = PetscOptionsTruth("-mat_superlu_pivotgrowth","PivotGrowth","None",PETSC_FALSE,&flg,0);CHKERRQ(ierr);
4299ce50919SHong Zhang     if (flg) lu->options.PivotGrowth = YES;
4304dc4c822SBarry Smith     ierr = PetscOptionsTruth("-mat_superlu_conditionnumber","ConditionNumber","None",PETSC_FALSE,&flg,0);CHKERRQ(ierr);
4319ce50919SHong Zhang     if (flg) lu->options.ConditionNumber = YES;
4328914a3f7SHong Zhang     ierr = PetscOptionsEList("-mat_superlu_rowperm","rowperm","None",rowperm,2,rowperm[0],&indx,&flg);CHKERRQ(ierr);
4339ce50919SHong Zhang     if (flg) {lu->options.RowPerm = (rowperm_t)indx;}
4344dc4c822SBarry Smith     ierr = PetscOptionsTruth("-mat_superlu_replacetinypivot","ReplaceTinyPivot","None",PETSC_FALSE,&flg,0);CHKERRQ(ierr);
4359ce50919SHong Zhang     if (flg) lu->options.ReplaceTinyPivot = YES;
4364dc4c822SBarry Smith     ierr = PetscOptionsTruth("-mat_superlu_printstat","PrintStat","None",PETSC_FALSE,&flg,0);CHKERRQ(ierr);
4379ce50919SHong Zhang     if (flg) lu->options.PrintStat = YES;
4388914a3f7SHong Zhang     ierr = PetscOptionsInt("-mat_superlu_lwork","size of work array in bytes used by factorization","None",lu->lwork,&lu->lwork,PETSC_NULL);CHKERRQ(ierr);
4395fe6150dSHong Zhang     if (lu->lwork > 0 ){
4405fe6150dSHong Zhang       ierr = PetscMalloc(lu->lwork,&lu->work);CHKERRQ(ierr);
4415fe6150dSHong Zhang     } else if (lu->lwork != 0 && lu->lwork != -1){
44277431f27SBarry Smith       ierr = PetscPrintf(PETSC_COMM_SELF,"   Warning: lwork %D is not supported by SUPERLU. The default lwork=0 is used.\n",lu->lwork);
4438914a3f7SHong Zhang       lu->lwork = 0;
4448914a3f7SHong Zhang     }
4459ce50919SHong Zhang   PetscOptionsEnd();
4469ce50919SHong Zhang 
44775af56d4SHong Zhang #ifdef SUPERLU2
448*5c9eb25fSBarry Smith   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatCreateNull","MatCreateNull_SuperLU",(void(*)(void))MatCreateNull_SuperLU);CHKERRQ(ierr);
44975af56d4SHong Zhang #endif
450*5c9eb25fSBarry Smith   B->spptr = lu;
451899d7b4fSKris Buschelman   *F = B;
45214b396bbSKris Buschelman   PetscFunctionReturn(0);
45314b396bbSKris Buschelman }
454*5c9eb25fSBarry Smith EXTERN_C_END
455