Actual source code: umfpack.c

      2: /*
      3:    Provides an interface to the UMFPACK sparse solver available through SuiteSparse version 4.2.1

      5:    When build with PETSC_USE_64BIT_INDICES this will use Suitesparse_long as the
      6:    integer type in UMFPACK, otherwise it will use int. This means
      7:    all integers in this file as simply declared as PetscInt. Also it means
      8:    that one cannot use 64BIT_INDICES on 32bit machines [as Suitesparse_long is 32bit only]

     10: */
     11: #include <../src/mat/impls/aij/seq/aij.h>

     13: #if defined(PETSC_USE_64BIT_INDICES)
     14: #if defined(PETSC_USE_COMPLEX)
     15: #define umfpack_UMF_free_symbolic                      umfpack_zl_free_symbolic
     16: #define umfpack_UMF_free_numeric                       umfpack_zl_free_numeric
     17: /* the type casts are needed because PetscInt is long long while SuiteSparse_long is long and compilers warn even when they are identical */
     18: #define umfpack_UMF_wsolve(a,b,c,d,e,f,g,h,i,j,k,l,m,n) umfpack_zl_wsolve(a,(SuiteSparse_long*)b,(SuiteSparse_long*)c,d,e,f,g,h,i,(SuiteSparse_long*)j,k,l,(SuiteSparse_long*)m,n)
     19: #define umfpack_UMF_numeric(a,b,c,d,e,f,g,h)          umfpack_zl_numeric((SuiteSparse_long*)a,(SuiteSparse_long*)b,c,d,e,f,g,h)
     20: #define umfpack_UMF_report_numeric                    umfpack_zl_report_numeric
     21: #define umfpack_UMF_report_control                    umfpack_zl_report_control
     22: #define umfpack_UMF_report_status                     umfpack_zl_report_status
     23: #define umfpack_UMF_report_info                       umfpack_zl_report_info
     24: #define umfpack_UMF_report_symbolic                   umfpack_zl_report_symbolic
     25: #define umfpack_UMF_qsymbolic(a,b,c,d,e,f,g,h,i,j)    umfpack_zl_qsymbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,f,(SuiteSparse_long*)g,h,i,j)
     26: #define umfpack_UMF_symbolic(a,b,c,d,e,f,g,h,i)       umfpack_zl_symbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,f,g,h,i)
     27: #define umfpack_UMF_defaults                          umfpack_zl_defaults

     29: #else
     30: #define umfpack_UMF_free_symbolic                  umfpack_dl_free_symbolic
     31: #define umfpack_UMF_free_numeric                   umfpack_dl_free_numeric
     32: #define umfpack_UMF_wsolve(a,b,c,d,e,f,g,h,i,j,k)  umfpack_dl_wsolve(a,(SuiteSparse_long*)b,(SuiteSparse_long*)c,d,e,f,g,h,i,(SuiteSparse_long*)j,k)
     33: #define umfpack_UMF_numeric(a,b,c,d,e,f,g)         umfpack_dl_numeric((SuiteSparse_long*)a,(SuiteSparse_long*)b,c,d,e,f,g)
     34: #define umfpack_UMF_report_numeric                 umfpack_dl_report_numeric
     35: #define umfpack_UMF_report_control                 umfpack_dl_report_control
     36: #define umfpack_UMF_report_status                  umfpack_dl_report_status
     37: #define umfpack_UMF_report_info                    umfpack_dl_report_info
     38: #define umfpack_UMF_report_symbolic                umfpack_dl_report_symbolic
     39: #define umfpack_UMF_qsymbolic(a,b,c,d,e,f,g,h,i)   umfpack_dl_qsymbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,(SuiteSparse_long*)f,g,h,i)
     40: #define umfpack_UMF_symbolic(a,b,c,d,e,f,g,h)      umfpack_dl_symbolic(a,b,(SuiteSparse_long*)c,(SuiteSparse_long*)d,e,f,g,h)
     41: #define umfpack_UMF_defaults                       umfpack_dl_defaults
     42: #endif

     44: #else
     45: #if defined(PETSC_USE_COMPLEX)
     46: #define umfpack_UMF_free_symbolic   umfpack_zi_free_symbolic
     47: #define umfpack_UMF_free_numeric    umfpack_zi_free_numeric
     48: #define umfpack_UMF_wsolve          umfpack_zi_wsolve
     49: #define umfpack_UMF_numeric         umfpack_zi_numeric
     50: #define umfpack_UMF_report_numeric  umfpack_zi_report_numeric
     51: #define umfpack_UMF_report_control  umfpack_zi_report_control
     52: #define umfpack_UMF_report_status   umfpack_zi_report_status
     53: #define umfpack_UMF_report_info     umfpack_zi_report_info
     54: #define umfpack_UMF_report_symbolic umfpack_zi_report_symbolic
     55: #define umfpack_UMF_qsymbolic       umfpack_zi_qsymbolic
     56: #define umfpack_UMF_symbolic        umfpack_zi_symbolic
     57: #define umfpack_UMF_defaults        umfpack_zi_defaults

     59: #else
     60: #define umfpack_UMF_free_symbolic   umfpack_di_free_symbolic
     61: #define umfpack_UMF_free_numeric    umfpack_di_free_numeric
     62: #define umfpack_UMF_wsolve          umfpack_di_wsolve
     63: #define umfpack_UMF_numeric         umfpack_di_numeric
     64: #define umfpack_UMF_report_numeric  umfpack_di_report_numeric
     65: #define umfpack_UMF_report_control  umfpack_di_report_control
     66: #define umfpack_UMF_report_status   umfpack_di_report_status
     67: #define umfpack_UMF_report_info     umfpack_di_report_info
     68: #define umfpack_UMF_report_symbolic umfpack_di_report_symbolic
     69: #define umfpack_UMF_qsymbolic       umfpack_di_qsymbolic
     70: #define umfpack_UMF_symbolic        umfpack_di_symbolic
     71: #define umfpack_UMF_defaults        umfpack_di_defaults
     72: #endif
     73: #endif

     75: EXTERN_C_BEGIN
     76: #include <umfpack.h>
     77: EXTERN_C_END

     79: static const char *const UmfpackOrderingTypes[] = {"CHOLMOD","AMD","GIVEN","METIS","BEST","NONE","USER","UmfpackOrderingTypes","UMFPACK_ORDERING_",0};

     81: typedef struct {
     82:   void         *Symbolic, *Numeric;
     83:   double       Info[UMFPACK_INFO], Control[UMFPACK_CONTROL],*W;
     84:   PetscInt     *Wi,*perm_c;
     85:   Mat          A;               /* Matrix used for factorization */
     86:   MatStructure flg;

     88:   /* Flag to clean up UMFPACK objects during Destroy */
     89:   PetscBool CleanUpUMFPACK;
     90: } Mat_UMFPACK;

     92: static PetscErrorCode MatDestroy_UMFPACK(Mat A)
     93: {
     95:   Mat_UMFPACK    *lu=(Mat_UMFPACK*)A->data;

     98:   if (lu->CleanUpUMFPACK) {
     99:     umfpack_UMF_free_symbolic(&lu->Symbolic);
    100:     umfpack_UMF_free_numeric(&lu->Numeric);
    101:     PetscFree(lu->Wi);
    102:     PetscFree(lu->W);
    103:     PetscFree(lu->perm_c);
    104:   }
    105:   MatDestroy(&lu->A);
    106:   PetscFree(A->data);
    107:   return(0);
    108: }

    110: static PetscErrorCode MatSolve_UMFPACK_Private(Mat A,Vec b,Vec x,int uflag)
    111: {
    112:   Mat_UMFPACK       *lu = (Mat_UMFPACK*)A->data;
    113:   Mat_SeqAIJ        *a  = (Mat_SeqAIJ*)lu->A->data;
    114:   PetscScalar       *av = a->a,*xa;
    115:   const PetscScalar *ba;
    116:   PetscErrorCode    ierr;
    117:   PetscInt          *ai = a->i,*aj = a->j,status;
    118:   static PetscBool  cite = PETSC_FALSE;

    121:   if (!A->rmap->n) return(0);
    122:   PetscCitationsRegister("@article{davis2004algorithm,\n  title={Algorithm 832: {UMFPACK} V4.3---An Unsymmetric-Pattern Multifrontal Method},\n  author={Davis, Timothy A},\n  journal={ACM Transactions on Mathematical Software (TOMS)},\n  volume={30},\n  number={2},\n  pages={196--199},\n  year={2004},\n  publisher={ACM}\n}\n",&cite);
    123:   /* solve Ax = b by umfpack_*_wsolve */
    124:   /* ----------------------------------*/

    126:   if (!lu->Wi) {  /* first time, allocate working space for wsolve */
    127:     PetscMalloc1(A->rmap->n,&lu->Wi);
    128:     PetscMalloc1(5*A->rmap->n,&lu->W);
    129:   }

    131:   VecGetArrayRead(b,&ba);
    132:   VecGetArray(x,&xa);
    133: #if defined(PETSC_USE_COMPLEX)
    134:   status = umfpack_UMF_wsolve(uflag,ai,aj,(PetscReal*)av,NULL,(PetscReal*)xa,NULL,(PetscReal*)ba,NULL,lu->Numeric,lu->Control,lu->Info,lu->Wi,lu->W);
    135: #else
    136:   status = umfpack_UMF_wsolve(uflag,ai,aj,av,xa,ba,lu->Numeric,lu->Control,lu->Info,lu->Wi,lu->W);
    137: #endif
    138:   umfpack_UMF_report_info(lu->Control, lu->Info);
    139:   if (status < 0) {
    140:     umfpack_UMF_report_status(lu->Control, status);
    141:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"umfpack_UMF_wsolve failed");
    142:   }

    144:   VecRestoreArrayRead(b,&ba);
    145:   VecRestoreArray(x,&xa);
    146:   return(0);
    147: }

    149: static PetscErrorCode MatSolve_UMFPACK(Mat A,Vec b,Vec x)
    150: {

    154:   /* We gave UMFPACK the algebraic transpose (because it assumes column alignment) */
    155:   MatSolve_UMFPACK_Private(A,b,x,UMFPACK_Aat);
    156:   return(0);
    157: }

    159: static PetscErrorCode MatSolveTranspose_UMFPACK(Mat A,Vec b,Vec x)
    160: {

    164:   /* We gave UMFPACK the algebraic transpose (because it assumes column alignment) */
    165:   MatSolve_UMFPACK_Private(A,b,x,UMFPACK_A);
    166:   return(0);
    167: }

    169: static PetscErrorCode MatLUFactorNumeric_UMFPACK(Mat F,Mat A,const MatFactorInfo *info)
    170: {
    171:   Mat_UMFPACK    *lu = (Mat_UMFPACK*)(F)->data;
    172:   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
    173:   PetscInt       *ai = a->i,*aj=a->j,status;
    174:   PetscScalar    *av = a->a;

    178:   if (!A->rmap->n) return(0);
    179:   /* numeric factorization of A' */
    180:   /* ----------------------------*/

    182:   if (lu->flg == SAME_NONZERO_PATTERN && lu->Numeric) {
    183:     umfpack_UMF_free_numeric(&lu->Numeric);
    184:   }
    185: #if defined(PETSC_USE_COMPLEX)
    186:   status = umfpack_UMF_numeric(ai,aj,(double*)av,NULL,lu->Symbolic,&lu->Numeric,lu->Control,lu->Info);
    187: #else
    188:   status = umfpack_UMF_numeric(ai,aj,av,lu->Symbolic,&lu->Numeric,lu->Control,lu->Info);
    189: #endif
    190:   if (status < 0) {
    191:     umfpack_UMF_report_status(lu->Control, status);
    192:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"umfpack_UMF_numeric failed");
    193:   }
    194:   /* report numeric factorization of A' when Control[PRL] > 3 */
    195:   (void) umfpack_UMF_report_numeric(lu->Numeric, lu->Control);

    197:   PetscObjectReference((PetscObject)A);
    198:   MatDestroy(&lu->A);

    200:   lu->A                  = A;
    201:   lu->flg                = SAME_NONZERO_PATTERN;
    202:   lu->CleanUpUMFPACK     = PETSC_TRUE;
    203:   F->ops->solve          = MatSolve_UMFPACK;
    204:   F->ops->solvetranspose = MatSolveTranspose_UMFPACK;
    205:   return(0);
    206: }

    208: /*
    209:    Note the r permutation is ignored
    210: */
    211: static PetscErrorCode MatLUFactorSymbolic_UMFPACK(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
    212: {
    213:   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
    214:   Mat_UMFPACK    *lu = (Mat_UMFPACK*)(F->data);
    216:   PetscInt       i,*ai = a->i,*aj = a->j,m=A->rmap->n,n=A->cmap->n;
    217: #if !defined(PETSC_USE_COMPLEX)
    218:   PetscScalar    *av = a->a;
    219: #endif
    220:   const PetscInt *ra;
    221:   PetscInt       status;

    224:   (F)->ops->lufactornumeric = MatLUFactorNumeric_UMFPACK;
    225:   if (!n) return(0);
    226:   if (r) {
    227:     ISGetIndices(r,&ra);
    228:     PetscMalloc1(m,&lu->perm_c);
    229:     /* we cannot simply memcpy on 64 bit archs */
    230:     for (i = 0; i < m; i++) lu->perm_c[i] = ra[i];
    231:     ISRestoreIndices(r,&ra);
    232:   }

    234:   /* print the control parameters */
    235:   if (lu->Control[UMFPACK_PRL] > 1) umfpack_UMF_report_control(lu->Control);

    237:   /* symbolic factorization of A' */
    238:   /* ---------------------------------------------------------------------- */
    239:   if (r) { /* use Petsc row ordering */
    240: #if !defined(PETSC_USE_COMPLEX)
    241:     status = umfpack_UMF_qsymbolic(n,m,ai,aj,av,lu->perm_c,&lu->Symbolic,lu->Control,lu->Info);
    242: #else
    243:     status = umfpack_UMF_qsymbolic(n,m,ai,aj,NULL,NULL,lu->perm_c,&lu->Symbolic,lu->Control,lu->Info);
    244: #endif
    245:   } else { /* use Umfpack col ordering */
    246: #if !defined(PETSC_USE_COMPLEX)
    247:     status = umfpack_UMF_symbolic(n,m,ai,aj,av,&lu->Symbolic,lu->Control,lu->Info);
    248: #else
    249:     status = umfpack_UMF_symbolic(n,m,ai,aj,NULL,NULL,&lu->Symbolic,lu->Control,lu->Info);
    250: #endif
    251:   }
    252:   if (status < 0) {
    253:     umfpack_UMF_report_info(lu->Control, lu->Info);
    254:     umfpack_UMF_report_status(lu->Control, status);
    255:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"umfpack_UMF_symbolic failed");
    256:   }
    257:   /* report sumbolic factorization of A' when Control[PRL] > 3 */
    258:   (void) umfpack_UMF_report_symbolic(lu->Symbolic, lu->Control);

    260:   lu->flg                   = DIFFERENT_NONZERO_PATTERN;
    261:   lu->CleanUpUMFPACK        = PETSC_TRUE;
    262:   return(0);
    263: }

    265: static PetscErrorCode MatView_Info_UMFPACK(Mat A,PetscViewer viewer)
    266: {
    267:   Mat_UMFPACK    *lu= (Mat_UMFPACK*)A->data;

    271:   /* check if matrix is UMFPACK type */
    272:   if (A->ops->solve != MatSolve_UMFPACK) return(0);

    274:   PetscViewerASCIIPrintf(viewer,"UMFPACK run parameters:\n");
    275:   /* Control parameters used by reporting routiones */
    276:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_PRL]: %g\n",lu->Control[UMFPACK_PRL]);

    278:   /* Control parameters used by symbolic factorization */
    279:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_STRATEGY]: %g\n",lu->Control[UMFPACK_STRATEGY]);
    280:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_DENSE_COL]: %g\n",lu->Control[UMFPACK_DENSE_COL]);
    281:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_DENSE_ROW]: %g\n",lu->Control[UMFPACK_DENSE_ROW]);
    282:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_AMD_DENSE]: %g\n",lu->Control[UMFPACK_AMD_DENSE]);
    283:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_BLOCK_SIZE]: %g\n",lu->Control[UMFPACK_BLOCK_SIZE]);
    284:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_FIXQ]: %g\n",lu->Control[UMFPACK_FIXQ]);
    285:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_AGGRESSIVE]: %g\n",lu->Control[UMFPACK_AGGRESSIVE]);

    287:   /* Control parameters used by numeric factorization */
    288:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_PIVOT_TOLERANCE]: %g\n",lu->Control[UMFPACK_PIVOT_TOLERANCE]);
    289:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_SYM_PIVOT_TOLERANCE]: %g\n",lu->Control[UMFPACK_SYM_PIVOT_TOLERANCE]);
    290:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_SCALE]: %g\n",lu->Control[UMFPACK_SCALE]);
    291:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_ALLOC_INIT]: %g\n",lu->Control[UMFPACK_ALLOC_INIT]);
    292:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_DROPTOL]: %g\n",lu->Control[UMFPACK_DROPTOL]);

    294:   /* Control parameters used by solve */
    295:   PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_IRSTEP]: %g\n",lu->Control[UMFPACK_IRSTEP]);

    297:   /* mat ordering */
    298:   if (!lu->perm_c) {
    299:     PetscViewerASCIIPrintf(viewer,"  Control[UMFPACK_ORDERING]: AMD (not using the PETSc ordering)\n",UmfpackOrderingTypes[(int)lu->Control[UMFPACK_ORDERING]]);
    300:   }
    301:   return(0);
    302: }

    304: static PetscErrorCode MatView_UMFPACK(Mat A,PetscViewer viewer)
    305: {
    306:   PetscErrorCode    ierr;
    307:   PetscBool         iascii;
    308:   PetscViewerFormat format;

    311:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    312:   if (iascii) {
    313:     PetscViewerGetFormat(viewer,&format);
    314:     if (format == PETSC_VIEWER_ASCII_INFO) {
    315:       MatView_Info_UMFPACK(A,viewer);
    316:     }
    317:   }
    318:   return(0);
    319: }

    321: PetscErrorCode MatFactorGetSolverType_seqaij_umfpack(Mat A,MatSolverType *type)
    322: {
    324:   *type = MATSOLVERUMFPACK;
    325:   return(0);
    326: }

    329: /*MC
    330:   MATSOLVERUMFPACK = "umfpack" - A matrix type providing direct solvers (LU) for sequential matrices
    331:   via the external package UMFPACK.

    333:   Use ./configure --download-suitesparse to install PETSc to use UMFPACK

    335:   Use -pc_type lu -pc_factor_mat_solver_type umfpack to use this direct solver

    337:   Consult UMFPACK documentation for more information about the Control parameters
    338:   which correspond to the options database keys below.

    340:   Options Database Keys:
    341: + -mat_umfpack_ordering                - CHOLMOD, AMD, GIVEN, METIS, BEST, NONE
    342: . -mat_umfpack_prl                     - UMFPACK print level: Control[UMFPACK_PRL]
    343: . -mat_umfpack_strategy <AUTO>         - (choose one of) AUTO UNSYMMETRIC SYMMETRIC 2BY2
    344: . -mat_umfpack_dense_col <alpha_c>     - UMFPACK dense column threshold: Control[UMFPACK_DENSE_COL]
    345: . -mat_umfpack_dense_row <0.2>         - Control[UMFPACK_DENSE_ROW]
    346: . -mat_umfpack_amd_dense <10>          - Control[UMFPACK_AMD_DENSE]
    347: . -mat_umfpack_block_size <bs>         - UMFPACK block size for BLAS-Level 3 calls: Control[UMFPACK_BLOCK_SIZE]
    348: . -mat_umfpack_2by2_tolerance <0.01>   - Control[UMFPACK_2BY2_TOLERANCE]
    349: . -mat_umfpack_fixq <0>                - Control[UMFPACK_FIXQ]
    350: . -mat_umfpack_aggressive <1>          - Control[UMFPACK_AGGRESSIVE]
    351: . -mat_umfpack_pivot_tolerance <delta> - UMFPACK partial pivot tolerance: Control[UMFPACK_PIVOT_TOLERANCE]
    352: . -mat_umfpack_sym_pivot_tolerance <0.001> - Control[UMFPACK_SYM_PIVOT_TOLERANCE]
    353: . -mat_umfpack_scale <NONE>           - (choose one of) NONE SUM MAX
    354: . -mat_umfpack_alloc_init <delta>      - UMFPACK factorized matrix allocation modifier: Control[UMFPACK_ALLOC_INIT]
    355: . -mat_umfpack_droptol <0>            - Control[UMFPACK_DROPTOL]
    356: - -mat_umfpack_irstep <maxit>          - UMFPACK maximum number of iterative refinement steps: Control[UMFPACK_IRSTEP]

    358:    Level: beginner

    360:    Note: UMFPACK is part of SuiteSparse http://faculty.cse.tamu.edu/davis/suitesparse.html

    362: .seealso: PCLU, MATSOLVERSUPERLU, MATSOLVERMUMPS, PCFactorSetMatSolverType(), MatSolverType
    363: M*/

    365: PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat A,MatFactorType ftype,Mat *F)
    366: {
    367:   Mat            B;
    368:   Mat_UMFPACK    *lu;
    370:   PetscInt       m=A->rmap->n,n=A->cmap->n,idx;

    372:   const char *strategy[]={"AUTO","UNSYMMETRIC","SYMMETRIC"};
    373:   const char *scale[]   ={"NONE","SUM","MAX"};
    374:   PetscBool  flg;

    377:   /* Create the factorization matrix F */
    378:   MatCreate(PetscObjectComm((PetscObject)A),&B);
    379:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,m,n);
    380:   PetscStrallocpy("umfpack",&((PetscObject)B)->type_name);
    381:   MatSetUp(B);

    383:   PetscNewLog(B,&lu);

    385:   B->data                   = lu;
    386:   B->ops->getinfo          = MatGetInfo_External;
    387:   B->ops->lufactorsymbolic = MatLUFactorSymbolic_UMFPACK;
    388:   B->ops->destroy          = MatDestroy_UMFPACK;
    389:   B->ops->view             = MatView_UMFPACK;
    390:   B->ops->matsolve         = NULL;

    392:   PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverType_C",MatFactorGetSolverType_seqaij_umfpack);

    394:   B->factortype   = MAT_FACTOR_LU;
    395:   B->assembled    = PETSC_TRUE;           /* required by -ksp_view */
    396:   B->preallocated = PETSC_TRUE;

    398:   PetscFree(B->solvertype);
    399:   PetscStrallocpy(MATSOLVERUMFPACK,&B->solvertype);
    400:   B->useordering = PETSC_FALSE;

    402:   /* initializations */
    403:   /* ------------------------------------------------*/
    404:   /* get the default control parameters */
    405:   umfpack_UMF_defaults(lu->Control);
    406:   lu->perm_c                  = NULL; /* use defaul UMFPACK col permutation */
    407:   lu->Control[UMFPACK_IRSTEP] = 0;          /* max num of iterative refinement steps to attempt */

    409:   PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"UMFPACK Options","Mat");
    410:   /* Control parameters used by reporting routiones */
    411:   PetscOptionsReal("-mat_umfpack_prl","Control[UMFPACK_PRL]","None",lu->Control[UMFPACK_PRL],&lu->Control[UMFPACK_PRL],NULL);

    413:   /* Control parameters for symbolic factorization */
    414:   PetscOptionsEList("-mat_umfpack_strategy","ordering and pivoting strategy","None",strategy,3,strategy[0],&idx,&flg);
    415:   if (flg) {
    416:     switch (idx) {
    417:     case 0: lu->Control[UMFPACK_STRATEGY] = UMFPACK_STRATEGY_AUTO; break;
    418:     case 1: lu->Control[UMFPACK_STRATEGY] = UMFPACK_STRATEGY_UNSYMMETRIC; break;
    419:     case 2: lu->Control[UMFPACK_STRATEGY] = UMFPACK_STRATEGY_SYMMETRIC; break;
    420:     }
    421:   }
    422:   PetscOptionsEList("-mat_umfpack_ordering","Internal ordering method","None",UmfpackOrderingTypes,sizeof(UmfpackOrderingTypes)/sizeof(UmfpackOrderingTypes[0]),UmfpackOrderingTypes[(int)lu->Control[UMFPACK_ORDERING]],&idx,&flg);
    423:   if (flg) lu->Control[UMFPACK_ORDERING] = (int)idx;
    424:   PetscOptionsReal("-mat_umfpack_dense_col","Control[UMFPACK_DENSE_COL]","None",lu->Control[UMFPACK_DENSE_COL],&lu->Control[UMFPACK_DENSE_COL],NULL);
    425:   PetscOptionsReal("-mat_umfpack_dense_row","Control[UMFPACK_DENSE_ROW]","None",lu->Control[UMFPACK_DENSE_ROW],&lu->Control[UMFPACK_DENSE_ROW],NULL);
    426:   PetscOptionsReal("-mat_umfpack_amd_dense","Control[UMFPACK_AMD_DENSE]","None",lu->Control[UMFPACK_AMD_DENSE],&lu->Control[UMFPACK_AMD_DENSE],NULL);
    427:   PetscOptionsReal("-mat_umfpack_block_size","Control[UMFPACK_BLOCK_SIZE]","None",lu->Control[UMFPACK_BLOCK_SIZE],&lu->Control[UMFPACK_BLOCK_SIZE],NULL);
    428:   PetscOptionsReal("-mat_umfpack_fixq","Control[UMFPACK_FIXQ]","None",lu->Control[UMFPACK_FIXQ],&lu->Control[UMFPACK_FIXQ],NULL);
    429:   PetscOptionsReal("-mat_umfpack_aggressive","Control[UMFPACK_AGGRESSIVE]","None",lu->Control[UMFPACK_AGGRESSIVE],&lu->Control[UMFPACK_AGGRESSIVE],NULL);

    431:   /* Control parameters used by numeric factorization */
    432:   PetscOptionsReal("-mat_umfpack_pivot_tolerance","Control[UMFPACK_PIVOT_TOLERANCE]","None",lu->Control[UMFPACK_PIVOT_TOLERANCE],&lu->Control[UMFPACK_PIVOT_TOLERANCE],NULL);
    433:   PetscOptionsReal("-mat_umfpack_sym_pivot_tolerance","Control[UMFPACK_SYM_PIVOT_TOLERANCE]","None",lu->Control[UMFPACK_SYM_PIVOT_TOLERANCE],&lu->Control[UMFPACK_SYM_PIVOT_TOLERANCE],NULL);
    434:   PetscOptionsEList("-mat_umfpack_scale","Control[UMFPACK_SCALE]","None",scale,3,scale[0],&idx,&flg);
    435:   if (flg) {
    436:     switch (idx) {
    437:     case 0: lu->Control[UMFPACK_SCALE] = UMFPACK_SCALE_NONE; break;
    438:     case 1: lu->Control[UMFPACK_SCALE] = UMFPACK_SCALE_SUM; break;
    439:     case 2: lu->Control[UMFPACK_SCALE] = UMFPACK_SCALE_MAX; break;
    440:     }
    441:   }
    442:   PetscOptionsReal("-mat_umfpack_alloc_init","Control[UMFPACK_ALLOC_INIT]","None",lu->Control[UMFPACK_ALLOC_INIT],&lu->Control[UMFPACK_ALLOC_INIT],NULL);
    443:   PetscOptionsReal("-mat_umfpack_front_alloc_init","Control[UMFPACK_FRONT_ALLOC_INIT]","None",lu->Control[UMFPACK_FRONT_ALLOC_INIT],&lu->Control[UMFPACK_ALLOC_INIT],NULL);
    444:   PetscOptionsReal("-mat_umfpack_droptol","Control[UMFPACK_DROPTOL]","None",lu->Control[UMFPACK_DROPTOL],&lu->Control[UMFPACK_DROPTOL],NULL);

    446:   /* Control parameters used by solve */
    447:   PetscOptionsReal("-mat_umfpack_irstep","Control[UMFPACK_IRSTEP]","None",lu->Control[UMFPACK_IRSTEP],&lu->Control[UMFPACK_IRSTEP],NULL);
    448:   PetscOptionsEnd();
    449:   *F = B;
    450:   return(0);
    451: }

    453: PETSC_INTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
    454: PETSC_INTERN PetscErrorCode MatGetFactor_seqsbaij_cholmod(Mat,MatFactorType,Mat*);
    455: PETSC_INTERN PetscErrorCode MatGetFactor_seqaij_klu(Mat,MatFactorType,Mat*);

    457: PETSC_EXTERN PetscErrorCode MatSolverTypeRegister_SuiteSparse(void)
    458: {

    462:   MatSolverTypeRegister(MATSOLVERUMFPACK,MATSEQAIJ,  MAT_FACTOR_LU,MatGetFactor_seqaij_umfpack);
    463:   MatSolverTypeRegister(MATSOLVERCHOLMOD,MATSEQAIJ,  MAT_FACTOR_CHOLESKY,MatGetFactor_seqaij_cholmod);
    464:   MatSolverTypeRegister(MATSOLVERCHOLMOD,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_seqsbaij_cholmod);
    465:   MatSolverTypeRegister(MATSOLVERKLU,MATSEQAIJ,      MAT_FACTOR_LU,MatGetFactor_seqaij_klu);
    466:   return(0);
    467: }