Date: 2016-07-24T16:53:30+00:00

Actual source code: mkl_pardiso.c
petsc-3.7.3 2016-07-24
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      1: #if defined(PETSC_HAVE_LIBMKL_INTEL_ILP64)
      2: #define MKL_ILP64
      3: #endif

      5: #include <../src/mat/impls/aij/seq/aij.h>        /*I "petscmat.h" I*/
      6: #include <../src/mat/impls/sbaij/seq/sbaij.h>
      7: #include <../src/mat/impls/dense/seq/dense.h>
      8: #include <petscblaslapack.h>

     10: #include <stdio.h>
     11: #include <stdlib.h>
     12: #include <math.h>
     13: #include <mkl_pardiso.h>

     15: PETSC_EXTERN void PetscSetMKL_PARDISOThreads(int);

     17: /*
     18:  *  Possible mkl_pardiso phases that controls the execution of the solver.
     19:  *  For more information check mkl_pardiso manual.
     20:  */
     21: #define JOB_ANALYSIS 11
     22: #define JOB_ANALYSIS_NUMERICAL_FACTORIZATION 12
     23: #define JOB_ANALYSIS_NUMERICAL_FACTORIZATION_SOLVE_ITERATIVE_REFINEMENT 13
     24: #define JOB_NUMERICAL_FACTORIZATION 22
     25: #define JOB_NUMERICAL_FACTORIZATION_SOLVE_ITERATIVE_REFINEMENT 23
     26: #define JOB_SOLVE_ITERATIVE_REFINEMENT 33
     27: #define JOB_SOLVE_FORWARD_SUBSTITUTION 331
     28: #define JOB_SOLVE_DIAGONAL_SUBSTITUTION 332
     29: #define JOB_SOLVE_BACKWARD_SUBSTITUTION 333
     30: #define JOB_RELEASE_OF_LU_MEMORY 0
     31: #define JOB_RELEASE_OF_ALL_MEMORY -1

     33: #define IPARM_SIZE 64

     35: #if defined(PETSC_USE_64BIT_INDICES)
     36:  #if defined(PETSC_HAVE_LIBMKL_INTEL_ILP64)
     37:   /* sizeof(MKL_INT) == sizeof(long long int) if ilp64*/
     38:   #define INT_TYPE long long int
     39:   #define MKL_PARDISO pardiso
     40:   #define MKL_PARDISO_INIT pardisoinit
     41:  #else
     42:   #define INT_TYPE long long int
     43:   #define MKL_PARDISO pardiso_64
     44:   #define MKL_PARDISO_INIT pardiso_64init
     45:  #endif
     46: #else
     47:  #define INT_TYPE int
     48:  #define MKL_PARDISO pardiso
     49:  #define MKL_PARDISO_INIT pardisoinit
     50: #endif

     53: /*
     54:  *  Internal data structure.
     55:  *  For more information check mkl_pardiso manual.
     56:  */
     57: typedef struct {

     59:   /* Configuration vector*/
     60:   INT_TYPE     iparm[IPARM_SIZE];

     62:   /*
     63:    * Internal mkl_pardiso memory location.
     64:    * After the first call to mkl_pardiso do not modify pt, as that could cause a serious memory leak.
     65:    */
     66:   void         *pt[IPARM_SIZE];

     68:   /* Basic mkl_pardiso info*/
     69:   INT_TYPE     phase, maxfct, mnum, mtype, n, nrhs, msglvl, err;

     71:   /* Matrix structure*/
     72:   void         *a;
     73:   INT_TYPE     *ia, *ja;

     75:   /* Number of non-zero elements*/
     76:   INT_TYPE     nz;

     78:   /* Row permutaton vector*/
     79:   INT_TYPE     *perm;

     81:   /* Define if matrix preserves sparse structure.*/
     82:   MatStructure matstruc;

     84:   PetscBool    needsym;
     85:   PetscBool    freeaij;

     87:   /* Schur complement */
     88:   PetscScalar  *schur;
     89:   PetscInt     schur_size;
     90:   PetscInt     *schur_idxs;
     91:   PetscScalar  *schur_work;
     92:   PetscBLASInt schur_work_size;
     93:   PetscInt     schur_solver_type;
     94:   PetscInt     *schur_pivots;
     95:   PetscBool    schur_factored;
     96:   PetscBool    schur_inverted;
     97:   PetscBool    solve_interior;

     99:   /* True if mkl_pardiso function have been used.*/
    100:   PetscBool CleanUp;

    102:   /* Conversion to a format suitable for MKL */
    103:   PetscErrorCode (*Convert)(Mat, PetscBool, MatReuse, PetscBool*, INT_TYPE*, INT_TYPE**, INT_TYPE**, PetscScalar**);
    104:   PetscErrorCode (*Destroy)(Mat);
    105: } Mat_MKL_PARDISO;

    109: PetscErrorCode MatMKLPardiso_Convert_seqsbaij(Mat A,PetscBool sym,MatReuse reuse,PetscBool *free,INT_TYPE *nnz,INT_TYPE **r,INT_TYPE **c,PetscScalar **v)
    110: {
    111:   Mat_SeqSBAIJ   *aa = (Mat_SeqSBAIJ*)A->data;
    112:   PetscInt       bs  = A->rmap->bs;

    115:   if (!sym) {
    116:     SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_PLIB,"This should not happen");
    117:   }
    118:   if (bs == 1) { /* already in the correct format */
    119:     *v    = aa->a;
    120:     *r    = aa->i;
    121:     *c    = aa->j;
    122:     *nnz  = aa->nz;
    123:     *free = PETSC_FALSE;
    124:   } else {
    125:     SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Conversion from SeqSBAIJ to MKL Pardiso format still need to be implemented");
    126:   }
    127:   return(0);
    128: }

    132: PetscErrorCode MatMKLPardiso_Convert_seqbaij(Mat A,PetscBool sym,MatReuse reuse,PetscBool *free,INT_TYPE *nnz,INT_TYPE **r,INT_TYPE **c,PetscScalar **v)
    133: {
    135:   SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Conversion from SeqBAIJ to MKL Pardiso format still need to be implemented");
    136:   return(0);
    137: }

    141: PetscErrorCode MatMKLPardiso_Convert_seqaij(Mat A,PetscBool sym,MatReuse reuse,PetscBool *free,INT_TYPE *nnz,INT_TYPE **r,INT_TYPE **c,PetscScalar **v)
    142: {
    143:   Mat_SeqAIJ     *aa = (Mat_SeqAIJ*)A->data;

    147:   if (!sym) { /* already in the correct format */
    148:     *v    = aa->a;
    149:     *r    = aa->i;
    150:     *c    = aa->j;
    151:     *nnz  = aa->nz;
    152:     *free = PETSC_FALSE;
    153:     return(0);
    154:   }
    155:   /* need to get the triangular part */
    156:   if (reuse == MAT_INITIAL_MATRIX) {
    157:     PetscScalar *vals,*vv;
    158:     PetscInt    *row,*col,*jj;
    159:     PetscInt    m = A->rmap->n,nz,i;

    161:     nz = 0;
    162:     for (i=0; i<m; i++) {
    163:       nz += aa->i[i+1] - aa->diag[i];
    164:     }
    165:     PetscMalloc2(m+1,&row,nz,&col);
    166:     PetscMalloc1(nz,&vals);
    167:     jj = col;
    168:     vv = vals;

    170:     row[0] = 0;
    171:     for (i=0; i<m; i++) {
    172:       PetscInt    *aj = aa->j + aa->diag[i];
    173:       PetscScalar *av = aa->a + aa->diag[i];
    174:       PetscInt    rl = aa->i[i+1] - aa->diag[i],j;
    175:       for (j=0; j<rl; j++) {
    176:         *jj = *aj; jj++; aj++;
    177:         *vv = *av; vv++; av++;
    178:       }
    179:       row[i+1]    = row[i] + rl;
    180:     }
    181:     *v    = vals;
    182:     *r    = row;
    183:     *c    = col;
    184:     *nnz  = nz;
    185:     *free = PETSC_TRUE;
    186:   } else {
    187:     PetscScalar *vv;
    188:     PetscInt    m = A->rmap->n,i;

    190:     vv = *v;
    191:     for (i=0; i<m; i++) {
    192:       PetscScalar *av = aa->a + aa->diag[i];
    193:       PetscInt    rl = aa->i[i+1] - aa->diag[i],j;
    194:       for (j=0; j<rl; j++) {
    195:         *vv = *av; vv++; av++;
    196:       }
    197:     }
    198:     *free = PETSC_TRUE;
    199:   }
    200:   return(0);
    201: }

    203: void pardiso_64init(void *pt, INT_TYPE *mtype, INT_TYPE iparm [])
    204: {
    205:   int iparm_copy[IPARM_SIZE], mtype_copy, i;
    206:
    207:   mtype_copy = *mtype;
    208:   pardisoinit(pt, &mtype_copy, iparm_copy);
    209:   for(i = 0; i < IPARM_SIZE; i++){
    210:     iparm[i] = iparm_copy[i];
    211:   }
    212: }

    216: static PetscErrorCode MatMKLPardisoFactorSchur_Private(Mat_MKL_PARDISO* mpardiso)
    217: {
    218:   PetscBLASInt   B_N,B_ierr;
    219:   PetscScalar    *work,val;
    220:   PetscBLASInt   lwork = -1;

    224:   if (mpardiso->schur_factored) {
    225:     return(0);
    226:   }
    227:   PetscBLASIntCast(mpardiso->schur_size,&B_N);
    228:   switch (mpardiso->schur_solver_type) {
    229:     case 1: /* hermitian solver */
    230:       PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    231:       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,mpardiso->schur,&B_N,&B_ierr));
    232:       PetscFPTrapPop();
    233:       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
    234:       break;
    235:     case 2: /* symmetric */
    236:       if (!mpardiso->schur_pivots) {
    237:         PetscMalloc1(B_N,&mpardiso->schur_pivots);
    238:       }
    239:       PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    240:       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,mpardiso->schur,&B_N,mpardiso->schur_pivots,&val,&lwork,&B_ierr));
    241:       PetscBLASIntCast((PetscInt)PetscRealPart(val),&lwork);
    242:       PetscMalloc1(lwork,&work);
    243:       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,mpardiso->schur,&B_N,mpardiso->schur_pivots,work,&lwork,&B_ierr));
    244:       PetscFree(work);
    245:       PetscFPTrapPop();
    246:       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
    247:       break;
    248:     default: /* general */
    249:       if (!mpardiso->schur_pivots) {
    250:         PetscMalloc1(B_N,&mpardiso->schur_pivots);
    251:       }
    252:       PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    253:       PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,mpardiso->schur,&B_N,mpardiso->schur_pivots,&B_ierr));
    254:       PetscFPTrapPop();
    255:       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
    256:       break;
    257:   }
    258:   mpardiso->schur_factored = PETSC_TRUE;
    259:   return(0);
    260: }

    264: static PetscErrorCode MatMKLPardisoInvertSchur_Private(Mat_MKL_PARDISO* mpardiso)
    265: {
    266:   PetscBLASInt   B_N,B_ierr;

    270:   MatMKLPardisoFactorSchur_Private(mpardiso);
    271:   PetscBLASIntCast(mpardiso->schur_size,&B_N);
    272:   switch (mpardiso->schur_solver_type) {
    273:     case 1: /* hermitian solver */
    274:       PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    275:       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,mpardiso->schur,&B_N,&B_ierr));
    276:       PetscFPTrapPop();
    277:       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
    278:       break;
    279:     case 2: /* symmetric */
    280:       PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    281:       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,mpardiso->schur,&B_N,mpardiso->schur_pivots,mpardiso->schur_work,&B_ierr));
    282:       PetscFPTrapPop();
    283:       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
    284:       break;
    285:     default: /* general */
    286:       PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    287:       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,mpardiso->schur,&B_N,mpardiso->schur_pivots,mpardiso->schur_work,&mpardiso->schur_work_size,&B_ierr));
    288:       PetscFPTrapPop();
    289:       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
    290:       break;
    291:   }
    292:   mpardiso->schur_inverted = PETSC_TRUE;
    293:   return(0);
    294: }

    298: static PetscErrorCode MatMKLPardisoSolveSchur_Private(Mat_MKL_PARDISO* mpardiso, PetscScalar *B, PetscScalar *X)
    299: {
    300:   PetscScalar    one=1.,zero=0.,*schur_rhs,*schur_sol;
    301:   PetscBLASInt   B_N,B_Nrhs,B_ierr;
    302:   char           type[2];

    306:   MatMKLPardisoFactorSchur_Private(mpardiso);
    307:   PetscBLASIntCast(mpardiso->schur_size,&B_N);
    308:   PetscBLASIntCast(mpardiso->nrhs,&B_Nrhs);
    309:   if (X == B && mpardiso->schur_inverted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"X and B cannot point to the same address");
    310:   if (X != B) { /* using LAPACK *TRS subroutines */
    311:     PetscMemcpy(X,B,B_N*B_Nrhs*sizeof(PetscScalar));
    312:   }
    313:   schur_rhs = B;
    314:   schur_sol = X;
    315:   switch (mpardiso->schur_solver_type) {
    316:     case 1: /* hermitian solver */
    317:       if (mpardiso->schur_inverted) { /* BLAShemm should go here */
    318:         PetscStackCallBLAS("BLASsymm",BLASsymm_("L","L",&B_N,&B_Nrhs,&one,mpardiso->schur,&B_N,schur_rhs,&B_N,&zero,schur_sol,&B_N));
    319:       } else {
    320:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    321:         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_("L",&B_N,&B_Nrhs,mpardiso->schur,&B_N,schur_sol,&B_N,&B_ierr));
    322:         PetscFPTrapPop();
    323:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
    324:       }
    325:       break;
    326:     case 2: /* symmetric solver */
    327:       if (mpardiso->schur_inverted) {
    328:         PetscStackCallBLAS("BLASsymm",BLASsymm_("L","L",&B_N,&B_Nrhs,&one,mpardiso->schur,&B_N,schur_rhs,&B_N,&zero,schur_sol,&B_N));
    329:       } else {
    330:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    331:         PetscStackCallBLAS("LAPACKsytrs",LAPACKsytrs_("L",&B_N,&B_Nrhs,mpardiso->schur,&B_N,mpardiso->schur_pivots,schur_sol,&B_N,&B_ierr));
    332:         PetscFPTrapPop();
    333:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
    334:       }
    335:       break;
    336:     default: /* general */
    337:       switch (mpardiso->iparm[12-1]) {
    338:         case 1:
    339:           sprintf(type,"C");
    340:           break;
    341:         case 2:
    342:           sprintf(type,"T");
    343:           break;
    344:         default:
    345:           sprintf(type,"N");
    346:           break;
    347:       }
    348:       if (mpardiso->schur_inverted) {
    349:         PetscStackCallBLAS("BLASgemm",BLASgemm_(type,"N",&B_N,&B_Nrhs,&B_N,&one,mpardiso->schur,&B_N,schur_rhs,&B_N,&zero,schur_sol,&B_N));
    350:       } else {
    351:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    352:         PetscStackCallBLAS("LAPACKgetrs",LAPACKgetrs_(type,&B_N,&B_Nrhs,mpardiso->schur,&B_N,mpardiso->schur_pivots,schur_sol,&B_N,&B_ierr));
    353:         PetscFPTrapPop();
    354:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
    355:       }
    356:       break;
    357:   }
    358:   return(0);
    359: }

    364: PetscErrorCode MatFactorSetSchurIS_MKL_PARDISO(Mat F, IS is)
    365: {
    366:   Mat_MKL_PARDISO *mpardiso =(Mat_MKL_PARDISO*)F->spptr;
    367:   const PetscInt  *idxs;
    368:   PetscInt        size,i;
    369:   PetscMPIInt     csize;
    370:   PetscBool       sorted;
    371:   PetscErrorCode  ierr;

    374:   MPI_Comm_size(PetscObjectComm((PetscObject)F),&csize);
    375:   if (csize > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MKL_PARDISO parallel Schur complements not yet supported from PETSc\n");
    376:   ISSorted(is,&sorted);
    377:   if (!sorted) {
    378:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"IS for MKL_PARDISO Schur complements needs to be sorted\n");
    379:   }
    380:   ISGetLocalSize(is,&size);
    381:   if (mpardiso->schur_size != size) {
    382:     mpardiso->schur_size = size;
    383:     PetscFree2(mpardiso->schur,mpardiso->schur_work);
    384:     PetscFree(mpardiso->schur_idxs);
    385:     PetscFree(mpardiso->schur_pivots);
    386:     PetscBLASIntCast(PetscMax(mpardiso->n,2*size),&mpardiso->schur_work_size);
    387:     PetscMalloc2(size*size,&mpardiso->schur,mpardiso->schur_work_size,&mpardiso->schur_work);
    388:     PetscMalloc1(size,&mpardiso->schur_idxs);
    389:   }
    390:   PetscMemzero(mpardiso->perm,mpardiso->n*sizeof(INT_TYPE));
    391:   ISGetIndices(is,&idxs);
    392:   PetscMemcpy(mpardiso->schur_idxs,idxs,size*sizeof(PetscInt));
    393:   for (i=0;i<size;i++) mpardiso->perm[idxs[i]] = 1;
    394:   ISRestoreIndices(is,&idxs);
    395:   if (size) { /* turn on Schur switch if we the set of indices is not empty */
    396:     mpardiso->iparm[36-1] = 2;
    397:   }
    398:   mpardiso->schur_factored = PETSC_FALSE;
    399:   mpardiso->schur_inverted = PETSC_FALSE;
    400:   return(0);
    401: }

    405: PetscErrorCode MatFactorCreateSchurComplement_MKL_PARDISO(Mat F,Mat* S)
    406: {
    407:   Mat             St;
    408:   Mat_MKL_PARDISO *mpardiso =(Mat_MKL_PARDISO*)F->spptr;
    409:   PetscScalar     *array;
    410:   PetscErrorCode  ierr;

    413:   if (!mpardiso->iparm[36-1]) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
    414:   else if (!mpardiso->schur_size) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");

    416:   MatCreate(PetscObjectComm((PetscObject)F),&St);
    417:   MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mpardiso->schur_size,mpardiso->schur_size);
    418:   MatSetType(St,MATDENSE);
    419:   MatSetUp(St);
    420:   MatDenseGetArray(St,&array);
    421:   PetscMemcpy(array,mpardiso->schur,mpardiso->schur_size*mpardiso->schur_size*sizeof(PetscScalar));
    422:   MatDenseRestoreArray(St,&array);
    423:   *S = St;
    424:   return(0);
    425: }

    429: PetscErrorCode MatFactorGetSchurComplement_MKL_PARDISO(Mat F,Mat* S)
    430: {
    431:   Mat             St;
    432:   Mat_MKL_PARDISO *mpardiso =(Mat_MKL_PARDISO*)F->spptr;
    433:   PetscErrorCode  ierr;

    436:   if (!mpardiso->iparm[36-1]) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
    437:   else if (!mpardiso->schur_size) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");

    439:   MatCreateSeqDense(PetscObjectComm((PetscObject)F),mpardiso->schur_size,mpardiso->schur_size,mpardiso->schur,&St);
    440:   *S = St;
    441:   return(0);
    442: }

    446: PetscErrorCode MatFactorInvertSchurComplement_MKL_PARDISO(Mat F)
    447: {
    448:   Mat_MKL_PARDISO *mpardiso =(Mat_MKL_PARDISO*)F->spptr;
    449:   PetscErrorCode  ierr;

    452:   if (!mpardiso->iparm[36-1]) { /* do nothing */
    453:     return(0);
    454:   }
    455:   if (!mpardiso->schur_size) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
    456:   MatMKLPardisoInvertSchur_Private(mpardiso);
    457:   return(0);
    458: }

    462: PetscErrorCode MatFactorSolveSchurComplement_MKL_PARDISO(Mat F, Vec rhs, Vec sol)
    463: {
    464:   Mat_MKL_PARDISO   *mpardiso =(Mat_MKL_PARDISO*)F->spptr;
    465:   PetscScalar       *asol,*arhs;

    469:   if (!mpardiso->iparm[36-1]) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
    470:   else if (!mpardiso->schur_size) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");

    472:   mpardiso->nrhs = 1;
    473:   VecGetArrayRead(rhs,(const PetscScalar**)&arhs);
    474:   VecGetArray(sol,&asol);
    475:   MatMKLPardisoSolveSchur_Private(mpardiso,arhs,asol);
    476:   VecRestoreArrayRead(rhs,(const PetscScalar**)&arhs);
    477:   VecRestoreArray(sol,&asol);
    478:   return(0);
    479: }

    483: PetscErrorCode MatFactorSolveSchurComplementTranspose_MKL_PARDISO(Mat F, Vec rhs, Vec sol)
    484: {
    485:   Mat_MKL_PARDISO   *mpardiso =(Mat_MKL_PARDISO*)F->spptr;
    486:   PetscScalar       *asol,*arhs;
    487:   PetscInt          oiparm12;
    488:   PetscErrorCode    ierr;

    491:   if (!mpardiso->iparm[36-1]) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
    492:   else if (!mpardiso->schur_size) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");

    494:   mpardiso->nrhs = 1;
    495:   VecGetArrayRead(rhs,(const PetscScalar**)&arhs);
    496:   VecGetArray(sol,&asol);
    497:   oiparm12 = mpardiso->iparm[12 - 1];
    498:   mpardiso->iparm[12 - 1] = 2;
    499:   MatMKLPardisoSolveSchur_Private(mpardiso,arhs,asol);
    500:   mpardiso->iparm[12 - 1] = oiparm12;
    501:   VecRestoreArrayRead(rhs,(const PetscScalar**)&arhs);
    502:   VecRestoreArray(sol,&asol);
    503:   return(0);
    504: }

    508: PetscErrorCode MatDestroy_MKL_PARDISO(Mat A)
    509: {
    510:   Mat_MKL_PARDISO *mat_mkl_pardiso=(Mat_MKL_PARDISO*)A->spptr;
    511:   PetscErrorCode  ierr;

    514:   if (mat_mkl_pardiso->CleanUp) {
    515:     mat_mkl_pardiso->phase = JOB_RELEASE_OF_ALL_MEMORY;

    517:     MKL_PARDISO (mat_mkl_pardiso->pt,
    518:       &mat_mkl_pardiso->maxfct,
    519:       &mat_mkl_pardiso->mnum,
    520:       &mat_mkl_pardiso->mtype,
    521:       &mat_mkl_pardiso->phase,
    522:       &mat_mkl_pardiso->n,
    523:       NULL,
    524:       NULL,
    525:       NULL,
    526:       mat_mkl_pardiso->perm,
    527:       &mat_mkl_pardiso->nrhs,
    528:       mat_mkl_pardiso->iparm,
    529:       &mat_mkl_pardiso->msglvl,
    530:       NULL,
    531:       NULL,
    532:       &mat_mkl_pardiso->err);
    533:   }
    534:   PetscFree(mat_mkl_pardiso->perm);
    535:   PetscFree2(mat_mkl_pardiso->schur,mat_mkl_pardiso->schur_work);
    536:   PetscFree(mat_mkl_pardiso->schur_idxs);
    537:   PetscFree(mat_mkl_pardiso->schur_pivots);
    538:   if (mat_mkl_pardiso->freeaij) {
    539:     PetscFree2(mat_mkl_pardiso->ia,mat_mkl_pardiso->ja);
    540:     PetscFree(mat_mkl_pardiso->a);
    541:   }
    542:   if (mat_mkl_pardiso->Destroy) {
    543:     (mat_mkl_pardiso->Destroy)(A);
    544:   }
    545:   PetscFree(A->spptr);

    547:   /* clear composed functions */
    548:   PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);
    549:   PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);
    550:   PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);
    551:   PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);
    552:   PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);
    553:   PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);
    554:   PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);
    555:   PetscObjectComposeFunction((PetscObject)A,"MatMkl_PardisoSetCntl_C",NULL);
    556:   return(0);
    557: }

    561: static PetscErrorCode MatMKLPardisoScatterSchur_Private(Mat_MKL_PARDISO *mpardiso, PetscScalar *whole, PetscScalar *schur, PetscBool reduce)
    562: {
    564:   if (reduce) { /* data given for the whole matrix */
    565:     PetscInt i,m=0,p=0;
    566:     for (i=0;i<mpardiso->nrhs;i++) {
    567:       PetscInt j;
    568:       for (j=0;j<mpardiso->schur_size;j++) {
    569:         schur[p+j] = whole[m+mpardiso->schur_idxs[j]];
    570:       }
    571:       m += mpardiso->n;
    572:       p += mpardiso->schur_size;
    573:     }
    574:   } else { /* from Schur to whole */
    575:     PetscInt i,m=0,p=0;
    576:     for (i=0;i<mpardiso->nrhs;i++) {
    577:       PetscInt j;
    578:       for (j=0;j<mpardiso->schur_size;j++) {
    579:         whole[m+mpardiso->schur_idxs[j]] = schur[p+j];
    580:       }
    581:       m += mpardiso->n;
    582:       p += mpardiso->schur_size;
    583:     }
    584:   }
    585:   return(0);
    586: }

    590: PetscErrorCode MatSolve_MKL_PARDISO(Mat A,Vec b,Vec x)
    591: {
    592:   Mat_MKL_PARDISO   *mat_mkl_pardiso=(Mat_MKL_PARDISO*)(A)->spptr;
    593:   PetscErrorCode    ierr;
    594:   PetscScalar       *xarray;
    595:   const PetscScalar *barray;

    598:   mat_mkl_pardiso->nrhs = 1;
    599:   VecGetArray(x,&xarray);
    600:   VecGetArrayRead(b,&barray);

    602:   if (!mat_mkl_pardiso->schur) {
    603:     mat_mkl_pardiso->phase = JOB_SOLVE_ITERATIVE_REFINEMENT;
    604:   } else {
    605:     mat_mkl_pardiso->phase = JOB_SOLVE_FORWARD_SUBSTITUTION;
    606:   }
    607:   mat_mkl_pardiso->iparm[6-1] = 0;

    609:   MKL_PARDISO (mat_mkl_pardiso->pt,
    610:     &mat_mkl_pardiso->maxfct,
    611:     &mat_mkl_pardiso->mnum,
    612:     &mat_mkl_pardiso->mtype,
    613:     &mat_mkl_pardiso->phase,
    614:     &mat_mkl_pardiso->n,
    615:     mat_mkl_pardiso->a,
    616:     mat_mkl_pardiso->ia,
    617:     mat_mkl_pardiso->ja,
    618:     mat_mkl_pardiso->perm,
    619:     &mat_mkl_pardiso->nrhs,
    620:     mat_mkl_pardiso->iparm,
    621:     &mat_mkl_pardiso->msglvl,
    622:     (void*)barray,
    623:     (void*)xarray,
    624:     &mat_mkl_pardiso->err);

    626:   if (mat_mkl_pardiso->err < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MKL_PARDISO: err=%d. Please check manual\n",mat_mkl_pardiso->err);

    628:   if (mat_mkl_pardiso->schur) { /* solve Schur complement and expand solution */
    629:     PetscInt shift = mat_mkl_pardiso->schur_size;

    631:     /* if inverted, uses BLAS *MM subroutines, otherwise LAPACK *TRS */
    632:     if (!mat_mkl_pardiso->schur_inverted) {
    633:       shift = 0;
    634:     }

    636:     if (!mat_mkl_pardiso->solve_interior) {
    637:       /* solve Schur complement */
    638:       MatMKLPardisoScatterSchur_Private(mat_mkl_pardiso,xarray,mat_mkl_pardiso->schur_work,PETSC_TRUE);
    639:       MatMKLPardisoSolveSchur_Private(mat_mkl_pardiso,mat_mkl_pardiso->schur_work,mat_mkl_pardiso->schur_work+shift);
    640:       MatMKLPardisoScatterSchur_Private(mat_mkl_pardiso,xarray,mat_mkl_pardiso->schur_work+shift,PETSC_FALSE);
    641:     } else { /* if we are solving for the interior problem, any value in barray[schur] forward-substitued to xarray[schur] will be neglected */
    642:       PetscInt i;
    643:       for (i=0;i<mat_mkl_pardiso->schur_size;i++) {
    644:         xarray[mat_mkl_pardiso->schur_idxs[i]] = 0.;
    645:       }
    646:     }
    647:     /* expansion phase */
    648:     mat_mkl_pardiso->iparm[6-1] = 1;
    649:     mat_mkl_pardiso->phase = JOB_SOLVE_BACKWARD_SUBSTITUTION;
    650:     MKL_PARDISO (mat_mkl_pardiso->pt,
    651:       &mat_mkl_pardiso->maxfct,
    652:       &mat_mkl_pardiso->mnum,
    653:       &mat_mkl_pardiso->mtype,
    654:       &mat_mkl_pardiso->phase,
    655:       &mat_mkl_pardiso->n,
    656:       mat_mkl_pardiso->a,
    657:       mat_mkl_pardiso->ia,
    658:       mat_mkl_pardiso->ja,
    659:       mat_mkl_pardiso->perm,
    660:       &mat_mkl_pardiso->nrhs,
    661:       mat_mkl_pardiso->iparm,
    662:       &mat_mkl_pardiso->msglvl,
    663:       (void*)xarray,
    664:       (void*)mat_mkl_pardiso->schur_work, /* according to the specs, the solution vector is always used */
    665:       &mat_mkl_pardiso->err);

    667:     if (mat_mkl_pardiso->err < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MKL_PARDISO: err=%d. Please check manual\n",mat_mkl_pardiso->err);
    668:     mat_mkl_pardiso->iparm[6-1] = 0;
    669:   }
    670:   VecRestoreArray(x,&xarray);
    671:   VecRestoreArrayRead(b,&barray);
    672:   mat_mkl_pardiso->CleanUp = PETSC_TRUE;
    673:   return(0);
    674: }

    678: PetscErrorCode MatSolveTranspose_MKL_PARDISO(Mat A,Vec b,Vec x)
    679: {
    680:   Mat_MKL_PARDISO *mat_mkl_pardiso=(Mat_MKL_PARDISO*)A->spptr;
    681:   PetscInt        oiparm12;
    682:   PetscErrorCode  ierr;

    685:   oiparm12 = mat_mkl_pardiso->iparm[12 - 1];
    686:   mat_mkl_pardiso->iparm[12 - 1] = 2;
    687:   MatSolve_MKL_PARDISO(A,b,x);
    688:   mat_mkl_pardiso->iparm[12 - 1] = oiparm12;
    689:   return(0);
    690: }

    694: PetscErrorCode MatMatSolve_MKL_PARDISO(Mat A,Mat B,Mat X)
    695: {
    696:   Mat_MKL_PARDISO   *mat_mkl_pardiso=(Mat_MKL_PARDISO*)(A)->spptr;
    697:   PetscErrorCode    ierr;
    698:   PetscScalar       *barray, *xarray;
    699:   PetscBool         flg;

    702:   PetscObjectTypeCompare((PetscObject)B,MATSEQDENSE,&flg);
    703:   if (!flg) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Matrix B must be MATSEQDENSE matrix");
    704:   PetscObjectTypeCompare((PetscObject)X,MATSEQDENSE,&flg);
    705:   if (!flg) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Matrix X must be MATSEQDENSE matrix");

    707:   MatGetSize(B,NULL,(PetscInt*)&mat_mkl_pardiso->nrhs);

    709:   if(mat_mkl_pardiso->nrhs > 0){
    710:     MatDenseGetArray(B,&barray);
    711:     MatDenseGetArray(X,&xarray);

    713:     if (!mat_mkl_pardiso->schur) {
    714:       mat_mkl_pardiso->phase = JOB_SOLVE_ITERATIVE_REFINEMENT;
    715:     } else {
    716:       mat_mkl_pardiso->phase = JOB_SOLVE_FORWARD_SUBSTITUTION;
    717:     }
    718:     mat_mkl_pardiso->iparm[6-1] = 0;

    720:     MKL_PARDISO (mat_mkl_pardiso->pt,
    721:       &mat_mkl_pardiso->maxfct,
    722:       &mat_mkl_pardiso->mnum,
    723:       &mat_mkl_pardiso->mtype,
    724:       &mat_mkl_pardiso->phase,
    725:       &mat_mkl_pardiso->n,
    726:       mat_mkl_pardiso->a,
    727:       mat_mkl_pardiso->ia,
    728:       mat_mkl_pardiso->ja,
    729:       mat_mkl_pardiso->perm,
    730:       &mat_mkl_pardiso->nrhs,
    731:       mat_mkl_pardiso->iparm,
    732:       &mat_mkl_pardiso->msglvl,
    733:       (void*)barray,
    734:       (void*)xarray,
    735:       &mat_mkl_pardiso->err);
    736:     if (mat_mkl_pardiso->err < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MKL_PARDISO: err=%d. Please check manual\n",mat_mkl_pardiso->err);

    738:     if (mat_mkl_pardiso->schur) { /* solve Schur complement and expand solution */
    739:       PetscScalar *o_schur_work = NULL;
    740:       PetscInt    shift = mat_mkl_pardiso->schur_size*mat_mkl_pardiso->nrhs,scale;
    741:       PetscInt    mem = mat_mkl_pardiso->n*mat_mkl_pardiso->nrhs;

    743:       /* allocate extra memory if it is needed */
    744:       scale = 1;
    745:       if (mat_mkl_pardiso->schur_inverted) {
    746:         scale = 2;
    747:       }
    748:       mem *= scale;
    749:       if (mem > mat_mkl_pardiso->schur_work_size) {
    750:         o_schur_work = mat_mkl_pardiso->schur_work;
    751:         PetscMalloc1(mem,&mat_mkl_pardiso->schur_work);
    752:       }

    754:       /* if inverted, uses BLAS *MM subroutines, otherwise LAPACK *TRS */
    755:       if (!mat_mkl_pardiso->schur_inverted) {
    756:         shift = 0;
    757:       }

    759:       /* solve Schur complement */
    760:       if (!mat_mkl_pardiso->solve_interior) {
    761:         MatMKLPardisoScatterSchur_Private(mat_mkl_pardiso,xarray,mat_mkl_pardiso->schur_work,PETSC_TRUE);
    762:         MatMKLPardisoSolveSchur_Private(mat_mkl_pardiso,mat_mkl_pardiso->schur_work,mat_mkl_pardiso->schur_work+shift);
    763:         MatMKLPardisoScatterSchur_Private(mat_mkl_pardiso,xarray,mat_mkl_pardiso->schur_work+shift,PETSC_FALSE);
    764:       } else { /* if we are solving for the interior problem, any value in barray[schur,n] forward-substitued to xarray[schur,n] will be neglected */
    765:         PetscInt i,n,m=0;
    766:         for (n=0;n<mat_mkl_pardiso->nrhs;n++) {
    767:           for (i=0;i<mat_mkl_pardiso->schur_size;i++) {
    768:             xarray[mat_mkl_pardiso->schur_idxs[i]+m] = 0.;
    769:           }
    770:           m += mat_mkl_pardiso->n;
    771:         }
    772:       }
    773:       /* expansion phase */
    774:       mat_mkl_pardiso->iparm[6-1] = 1;
    775:       mat_mkl_pardiso->phase = JOB_SOLVE_BACKWARD_SUBSTITUTION;
    776:       MKL_PARDISO (mat_mkl_pardiso->pt,
    777:         &mat_mkl_pardiso->maxfct,
    778:         &mat_mkl_pardiso->mnum,
    779:         &mat_mkl_pardiso->mtype,
    780:         &mat_mkl_pardiso->phase,
    781:         &mat_mkl_pardiso->n,
    782:         mat_mkl_pardiso->a,
    783:         mat_mkl_pardiso->ia,
    784:         mat_mkl_pardiso->ja,
    785:         mat_mkl_pardiso->perm,
    786:         &mat_mkl_pardiso->nrhs,
    787:         mat_mkl_pardiso->iparm,
    788:         &mat_mkl_pardiso->msglvl,
    789:         (void*)xarray,
    790:         (void*)mat_mkl_pardiso->schur_work, /* according to the specs, the solution vector is always used */
    791:         &mat_mkl_pardiso->err);
    792:       if (o_schur_work) { /* restore original schur_work (minimal size) */
    793:         PetscFree(mat_mkl_pardiso->schur_work);
    794:         mat_mkl_pardiso->schur_work = o_schur_work;
    795:       }
    796:       if (mat_mkl_pardiso->err < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MKL_PARDISO: err=%d. Please check manual\n",mat_mkl_pardiso->err);
    797:       mat_mkl_pardiso->iparm[6-1] = 0;
    798:     }
    799:   }
    800:   mat_mkl_pardiso->CleanUp = PETSC_TRUE;
    801:   return(0);
    802: }

    806: PetscErrorCode MatFactorNumeric_MKL_PARDISO(Mat F,Mat A,const MatFactorInfo *info)
    807: {
    808:   Mat_MKL_PARDISO *mat_mkl_pardiso=(Mat_MKL_PARDISO*)(F)->spptr;
    809:   PetscErrorCode  ierr;

    812:   mat_mkl_pardiso->matstruc = SAME_NONZERO_PATTERN;
    813:   (*mat_mkl_pardiso->Convert)(A,mat_mkl_pardiso->needsym,MAT_REUSE_MATRIX,&mat_mkl_pardiso->freeaij,&mat_mkl_pardiso->nz,&mat_mkl_pardiso->ia,&mat_mkl_pardiso->ja,(PetscScalar**)&mat_mkl_pardiso->a);

    815:   mat_mkl_pardiso->phase = JOB_NUMERICAL_FACTORIZATION;
    816:   MKL_PARDISO (mat_mkl_pardiso->pt,
    817:     &mat_mkl_pardiso->maxfct,
    818:     &mat_mkl_pardiso->mnum,
    819:     &mat_mkl_pardiso->mtype,
    820:     &mat_mkl_pardiso->phase,
    821:     &mat_mkl_pardiso->n,
    822:     mat_mkl_pardiso->a,
    823:     mat_mkl_pardiso->ia,
    824:     mat_mkl_pardiso->ja,
    825:     mat_mkl_pardiso->perm,
    826:     &mat_mkl_pardiso->nrhs,
    827:     mat_mkl_pardiso->iparm,
    828:     &mat_mkl_pardiso->msglvl,
    829:     NULL,
    830:     (void*)mat_mkl_pardiso->schur,
    831:     &mat_mkl_pardiso->err);
    832:   if (mat_mkl_pardiso->err < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MKL_PARDISO: err=%d. Please check manual\n",mat_mkl_pardiso->err);

    834:   if (mat_mkl_pardiso->schur) { /* schur output from pardiso is in row major format */
    835:     PetscInt j,k,n=mat_mkl_pardiso->schur_size;
    836:     if (!mat_mkl_pardiso->schur_solver_type) {
    837:       for (j=0; j<n; j++) {
    838:         for (k=0; k<j; k++) {
    839:           PetscScalar tmp = mat_mkl_pardiso->schur[j + k*n];
    840:           mat_mkl_pardiso->schur[j + k*n] = mat_mkl_pardiso->schur[k + j*n];
    841:           mat_mkl_pardiso->schur[k + j*n] = tmp;
    842:         }
    843:       }
    844:     } else { /* we could use row-major in LAPACK routines (e.g. use 'U' instead of 'L'; instead, I prefer consistency between data structures and swap to column major */
    845:       for (j=0; j<n; j++) {
    846:         for (k=0; k<j; k++) {
    847:           mat_mkl_pardiso->schur[j + k*n] = mat_mkl_pardiso->schur[k + j*n];
    848:         }
    849:       }
    850:     }
    851:   }
    852:   mat_mkl_pardiso->matstruc = SAME_NONZERO_PATTERN;
    853:   mat_mkl_pardiso->CleanUp  = PETSC_TRUE;
    854:   mat_mkl_pardiso->schur_factored = PETSC_FALSE;
    855:   mat_mkl_pardiso->schur_inverted = PETSC_FALSE;
    856:   return(0);
    857: }

    861: PetscErrorCode PetscSetMKL_PARDISOFromOptions(Mat F, Mat A)
    862: {
    863:   Mat_MKL_PARDISO     *mat_mkl_pardiso = (Mat_MKL_PARDISO*)F->spptr;
    864:   PetscErrorCode      ierr;
    865:   PetscInt            icntl,threads=1;
    866:   PetscBool           flg;

    869:   PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MKL_PARDISO Options","Mat");

    871:   PetscOptionsInt("-mat_mkl_pardiso_65","Number of threads to use within PARDISO","None",threads,&threads,&flg);
    872:   if (flg) PetscSetMKL_PARDISOThreads((int)threads);

    874:   PetscOptionsInt("-mat_mkl_pardiso_66","Maximum number of factors with identical sparsity structure that must be kept in memory at the same time","None",mat_mkl_pardiso->maxfct,&icntl,&flg);
    875:   if (flg) mat_mkl_pardiso->maxfct = icntl;

    877:   PetscOptionsInt("-mat_mkl_pardiso_67","Indicates the actual matrix for the solution phase","None",mat_mkl_pardiso->mnum,&icntl,&flg);
    878:   if (flg) mat_mkl_pardiso->mnum = icntl;
    879:
    880:   PetscOptionsInt("-mat_mkl_pardiso_68","Message level information","None",mat_mkl_pardiso->msglvl,&icntl,&flg);
    881:   if (flg) mat_mkl_pardiso->msglvl = icntl;

    883:   PetscOptionsInt("-mat_mkl_pardiso_69","Defines the matrix type","None",mat_mkl_pardiso->mtype,&icntl,&flg);
    884:   if(flg){
    885:     void *pt[IPARM_SIZE];
    886:     mat_mkl_pardiso->mtype = icntl;
    887:     MKL_PARDISO_INIT(pt, &mat_mkl_pardiso->mtype, mat_mkl_pardiso->iparm);
    888: #if defined(PETSC_USE_REAL_SINGLE)
    889:     mat_mkl_pardiso->iparm[27] = 1;
    890: #else
    891:     mat_mkl_pardiso->iparm[27] = 0;
    892: #endif
    893:     mat_mkl_pardiso->iparm[34] = 1; /* use 0-based indexing */
    894:   }
    895:   PetscOptionsInt("-mat_mkl_pardiso_1","Use default values","None",mat_mkl_pardiso->iparm[0],&icntl,&flg);

    897:   if(flg && icntl != 0){
    898:     PetscOptionsInt("-mat_mkl_pardiso_2","Fill-in reducing ordering for the input matrix","None",mat_mkl_pardiso->iparm[1],&icntl,&flg);
    899:     if (flg) mat_mkl_pardiso->iparm[1] = icntl;

    901:     PetscOptionsInt("-mat_mkl_pardiso_4","Preconditioned CGS/CG","None",mat_mkl_pardiso->iparm[3],&icntl,&flg);
    902:     if (flg) mat_mkl_pardiso->iparm[3] = icntl;

    904:     PetscOptionsInt("-mat_mkl_pardiso_5","User permutation","None",mat_mkl_pardiso->iparm[4],&icntl,&flg);
    905:     if (flg) mat_mkl_pardiso->iparm[4] = icntl;

    907:     PetscOptionsInt("-mat_mkl_pardiso_6","Write solution on x","None",mat_mkl_pardiso->iparm[5],&icntl,&flg);
    908:     if (flg) mat_mkl_pardiso->iparm[5] = icntl;

    910:     PetscOptionsInt("-mat_mkl_pardiso_8","Iterative refinement step","None",mat_mkl_pardiso->iparm[7],&icntl,&flg);
    911:     if (flg) mat_mkl_pardiso->iparm[7] = icntl;

    913:     PetscOptionsInt("-mat_mkl_pardiso_10","Pivoting perturbation","None",mat_mkl_pardiso->iparm[9],&icntl,&flg);
    914:     if (flg) mat_mkl_pardiso->iparm[9] = icntl;

    916:     PetscOptionsInt("-mat_mkl_pardiso_11","Scaling vectors","None",mat_mkl_pardiso->iparm[10],&icntl,&flg);
    917:     if (flg) mat_mkl_pardiso->iparm[10] = icntl;

    919:     PetscOptionsInt("-mat_mkl_pardiso_12","Solve with transposed or conjugate transposed matrix A","None",mat_mkl_pardiso->iparm[11],&icntl,&flg);
    920:     if (flg) mat_mkl_pardiso->iparm[11] = icntl;

    922:     PetscOptionsInt("-mat_mkl_pardiso_13","Improved accuracy using (non-) symmetric weighted matching","None",mat_mkl_pardiso->iparm[12],&icntl,&flg);
    923:     if (flg) mat_mkl_pardiso->iparm[12] = icntl;

    925:     PetscOptionsInt("-mat_mkl_pardiso_18","Numbers of non-zero elements","None",mat_mkl_pardiso->iparm[17],&icntl,&flg);
    926:     if (flg) mat_mkl_pardiso->iparm[17] = icntl;

    928:     PetscOptionsInt("-mat_mkl_pardiso_19","Report number of floating point operations","None",mat_mkl_pardiso->iparm[18],&icntl,&flg);
    929:     if (flg) mat_mkl_pardiso->iparm[18] = icntl;

    931:     PetscOptionsInt("-mat_mkl_pardiso_21","Pivoting for symmetric indefinite matrices","None",mat_mkl_pardiso->iparm[20],&icntl,&flg);
    932:     if (flg) mat_mkl_pardiso->iparm[20] = icntl;

    934:     PetscOptionsInt("-mat_mkl_pardiso_24","Parallel factorization control","None",mat_mkl_pardiso->iparm[23],&icntl,&flg);
    935:     if (flg) mat_mkl_pardiso->iparm[23] = icntl;

    937:     PetscOptionsInt("-mat_mkl_pardiso_25","Parallel forward/backward solve control","None",mat_mkl_pardiso->iparm[24],&icntl,&flg);
    938:     if (flg) mat_mkl_pardiso->iparm[24] = icntl;

    940:     PetscOptionsInt("-mat_mkl_pardiso_27","Matrix checker","None",mat_mkl_pardiso->iparm[26],&icntl,&flg);
    941:     if (flg) mat_mkl_pardiso->iparm[26] = icntl;

    943:     PetscOptionsInt("-mat_mkl_pardiso_31","Partial solve and computing selected components of the solution vectors","None",mat_mkl_pardiso->iparm[30],&icntl,&flg);
    944:     if (flg) mat_mkl_pardiso->iparm[30] = icntl;

    946:     PetscOptionsInt("-mat_mkl_pardiso_34","Optimal number of threads for conditional numerical reproducibility (CNR) mode","None",mat_mkl_pardiso->iparm[33],&icntl,&flg);
    947:     if (flg) mat_mkl_pardiso->iparm[33] = icntl;

    949:     PetscOptionsInt("-mat_mkl_pardiso_60","Intel MKL_PARDISO mode","None",mat_mkl_pardiso->iparm[59],&icntl,&flg);
    950:     if (flg) mat_mkl_pardiso->iparm[59] = icntl;
    951:   }
    952:   PetscOptionsEnd();
    953:   return(0);
    954: }

    958: PetscErrorCode MatFactorMKL_PARDISOInitialize_Private(Mat A, MatFactorType ftype, Mat_MKL_PARDISO *mat_mkl_pardiso)
    959: {
    961:   PetscInt       i;

    964:   for ( i = 0; i < IPARM_SIZE; i++ ){
    965:     mat_mkl_pardiso->iparm[i] = 0;
    966:   }
    967:   for ( i = 0; i < IPARM_SIZE; i++ ){
    968:     mat_mkl_pardiso->pt[i] = 0;
    969:   }
    970:   /* Default options for both sym and unsym */
    971:   mat_mkl_pardiso->iparm[ 0] =  1; /* Solver default parameters overriden with provided by iparm */
    972:   mat_mkl_pardiso->iparm[ 1] =  2; /* Metis reordering */
    973:   mat_mkl_pardiso->iparm[ 5] =  0; /* Write solution into x */
    974:   mat_mkl_pardiso->iparm[ 7] =  0; /* Max number of iterative refinement steps */
    975:   mat_mkl_pardiso->iparm[17] = -1; /* Output: Number of nonzeros in the factor LU */
    976:   mat_mkl_pardiso->iparm[18] = -1; /* Output: Mflops for LU factorization */
    977: #if 0
    978:   mat_mkl_pardiso->iparm[23] =  1; /* Parallel factorization control*/
    979: #endif
    980:   mat_mkl_pardiso->iparm[34] =  1; /* Cluster Sparse Solver use C-style indexing for ia and ja arrays */
    981:   mat_mkl_pardiso->iparm[39] =  0; /* Input: matrix/rhs/solution stored on master */
    982:
    983:   mat_mkl_pardiso->CleanUp   = PETSC_FALSE;
    984:   mat_mkl_pardiso->maxfct    = 1; /* Maximum number of numerical factorizations. */
    985:   mat_mkl_pardiso->mnum      = 1; /* Which factorization to use. */
    986:   mat_mkl_pardiso->msglvl    = 0; /* 0: do not print 1: Print statistical information in file */
    987:   mat_mkl_pardiso->phase     = -1;
    988:   mat_mkl_pardiso->err       = 0;
    989:
    990:   mat_mkl_pardiso->n         = A->rmap->N;
    991:   mat_mkl_pardiso->nrhs      = 1;
    992:   mat_mkl_pardiso->err       = 0;
    993:   mat_mkl_pardiso->phase     = -1;
    994:
    995:   if(ftype == MAT_FACTOR_LU){
    996:     mat_mkl_pardiso->iparm[ 9] = 13; /* Perturb the pivot elements with 1E-13 */
    997:     mat_mkl_pardiso->iparm[10] =  1; /* Use nonsymmetric permutation and scaling MPS */
    998:     mat_mkl_pardiso->iparm[12] =  1; /* Switch on Maximum Weighted Matching algorithm (default for non-symmetric) */

    1000:   } else {
    1001:     mat_mkl_pardiso->iparm[ 9] = 13; /* Perturb the pivot elements with 1E-13 */
    1002:     mat_mkl_pardiso->iparm[10] = 0; /* Use nonsymmetric permutation and scaling MPS */
    1003:     mat_mkl_pardiso->iparm[12] = 1; /* Switch on Maximum Weighted Matching algorithm (default for non-symmetric) */
    1004: /*    mat_mkl_pardiso->iparm[20] =  1; */ /* Apply 1x1 and 2x2 Bunch-Kaufman pivoting during the factorization process */
    1005: #if defined(PETSC_USE_DEBUG)
    1006:     mat_mkl_pardiso->iparm[26] = 1; /* Matrix checker */
    1007: #endif
    1008:   }
    1009:   PetscMalloc1(A->rmap->N*sizeof(INT_TYPE), &mat_mkl_pardiso->perm);
    1010:   for(i = 0; i < A->rmap->N; i++){
    1011:     mat_mkl_pardiso->perm[i] = 0;
    1012:   }
    1013:   mat_mkl_pardiso->schur_size = 0;
    1014:   return(0);
    1015: }

    1019: PetscErrorCode MatFactorSymbolic_AIJMKL_PARDISO_Private(Mat F,Mat A,const MatFactorInfo *info)
    1020: {
    1021:   Mat_MKL_PARDISO *mat_mkl_pardiso = (Mat_MKL_PARDISO*)F->spptr;
    1022:   PetscErrorCode  ierr;

    1025:   mat_mkl_pardiso->matstruc = DIFFERENT_NONZERO_PATTERN;
    1026:   PetscSetMKL_PARDISOFromOptions(F,A);

    1028:   /* throw away any previously computed structure */
    1029:   if (mat_mkl_pardiso->freeaij) {
    1030:     PetscFree2(mat_mkl_pardiso->ia,mat_mkl_pardiso->ja);
    1031:     PetscFree(mat_mkl_pardiso->a);
    1032:   }
    1033:   (*mat_mkl_pardiso->Convert)(A,mat_mkl_pardiso->needsym,MAT_INITIAL_MATRIX,&mat_mkl_pardiso->freeaij,&mat_mkl_pardiso->nz,&mat_mkl_pardiso->ia,&mat_mkl_pardiso->ja,(PetscScalar**)&mat_mkl_pardiso->a);
    1034:   mat_mkl_pardiso->n = A->rmap->N;

    1036:   mat_mkl_pardiso->phase = JOB_ANALYSIS;

    1038:   MKL_PARDISO (mat_mkl_pardiso->pt,
    1039:     &mat_mkl_pardiso->maxfct,
    1040:     &mat_mkl_pardiso->mnum,
    1041:     &mat_mkl_pardiso->mtype,
    1042:     &mat_mkl_pardiso->phase,
    1043:     &mat_mkl_pardiso->n,
    1044:     mat_mkl_pardiso->a,
    1045:     mat_mkl_pardiso->ia,
    1046:     mat_mkl_pardiso->ja,
    1047:     mat_mkl_pardiso->perm,
    1048:     &mat_mkl_pardiso->nrhs,
    1049:     mat_mkl_pardiso->iparm,
    1050:     &mat_mkl_pardiso->msglvl,
    1051:     NULL,
    1052:     NULL,
    1053:     &mat_mkl_pardiso->err);
    1054:   if (mat_mkl_pardiso->err < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MKL_PARDISO: err=%d\n. Please check manual",mat_mkl_pardiso->err);

    1056:   mat_mkl_pardiso->CleanUp = PETSC_TRUE;

    1058:   if (F->factortype == MAT_FACTOR_LU) {
    1059:     F->ops->lufactornumeric = MatFactorNumeric_MKL_PARDISO;
    1060:   } else {
    1061:     F->ops->choleskyfactornumeric = MatFactorNumeric_MKL_PARDISO;
    1062:   }
    1063:   F->ops->solve           = MatSolve_MKL_PARDISO;
    1064:   F->ops->solvetranspose  = MatSolveTranspose_MKL_PARDISO;
    1065:   F->ops->matsolve        = MatMatSolve_MKL_PARDISO;
    1066:   return(0);
    1067: }

    1071: PetscErrorCode MatLUFactorSymbolic_AIJMKL_PARDISO(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
    1072: {

    1076:   MatFactorSymbolic_AIJMKL_PARDISO_Private(F, A, info);
    1077:   return(0);
    1078: }

    1082: PetscErrorCode MatCholeskyFactorSymbolic_AIJMKL_PARDISO(Mat F,Mat A,IS r,const MatFactorInfo *info)
    1083: {

    1087:   MatFactorSymbolic_AIJMKL_PARDISO_Private(F, A, info);
    1088:   return(0);
    1089: }

    1093: PetscErrorCode MatView_MKL_PARDISO(Mat A, PetscViewer viewer)
    1094: {
    1095:   PetscErrorCode    ierr;
    1096:   PetscBool         iascii;
    1097:   PetscViewerFormat format;
    1098:   Mat_MKL_PARDISO   *mat_mkl_pardiso=(Mat_MKL_PARDISO*)A->spptr;
    1099:   PetscInt          i;

    1102:   if (A->ops->solve != MatSolve_MKL_PARDISO) return(0);

    1104:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    1105:   if (iascii) {
    1106:     PetscViewerGetFormat(viewer,&format);
    1107:     if (format == PETSC_VIEWER_ASCII_INFO) {
    1108:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO run parameters:\n");
    1109:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO phase:             %d \n",mat_mkl_pardiso->phase);
    1110:       for(i = 1; i <= 64; i++){
    1111:         PetscViewerASCIIPrintf(viewer,"MKL_PARDISO iparm[%d]:     %d \n",i, mat_mkl_pardiso->iparm[i - 1]);
    1112:       }
    1113:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO maxfct:     %d \n", mat_mkl_pardiso->maxfct);
    1114:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO mnum:     %d \n", mat_mkl_pardiso->mnum);
    1115:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO mtype:     %d \n", mat_mkl_pardiso->mtype);
    1116:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO n:     %d \n", mat_mkl_pardiso->n);
    1117:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO nrhs:     %d \n", mat_mkl_pardiso->nrhs);
    1118:       PetscViewerASCIIPrintf(viewer,"MKL_PARDISO msglvl:     %d \n", mat_mkl_pardiso->msglvl);
    1119:     }
    1120:   }
    1121:   return(0);
    1122: }

    1127: PetscErrorCode MatGetInfo_MKL_PARDISO(Mat A, MatInfoType flag, MatInfo *info)
    1128: {
    1129:   Mat_MKL_PARDISO *mat_mkl_pardiso =(Mat_MKL_PARDISO*)A->spptr;

    1132:   info->block_size        = 1.0;
    1133:   info->nz_used           = mat_mkl_pardiso->nz;
    1134:   info->nz_allocated      = mat_mkl_pardiso->nz;
    1135:   info->nz_unneeded       = 0.0;
    1136:   info->assemblies        = 0.0;
    1137:   info->mallocs           = 0.0;
    1138:   info->memory            = 0.0;
    1139:   info->fill_ratio_given  = 0;
    1140:   info->fill_ratio_needed = 0;
    1141:   info->factor_mallocs    = 0;
    1142:   return(0);
    1143: }

    1147: PetscErrorCode MatMkl_PardisoSetCntl_MKL_PARDISO(Mat F,PetscInt icntl,PetscInt ival)
    1148: {
    1149:   Mat_MKL_PARDISO *mat_mkl_pardiso =(Mat_MKL_PARDISO*)F->spptr;

    1152:   if(icntl <= 64){
    1153:     mat_mkl_pardiso->iparm[icntl - 1] = ival;
    1154:   } else {
    1155:     if(icntl == 65)
    1156:       PetscSetMKL_PARDISOThreads(ival);
    1157:     else if(icntl == 66)
    1158:       mat_mkl_pardiso->maxfct = ival;
    1159:     else if(icntl == 67)
    1160:       mat_mkl_pardiso->mnum = ival;
    1161:     else if(icntl == 68)
    1162:       mat_mkl_pardiso->msglvl = ival;
    1163:     else if(icntl == 69){
    1164:       void *pt[IPARM_SIZE];
    1165:       mat_mkl_pardiso->mtype = ival;
    1166:       MKL_PARDISO_INIT(pt, &mat_mkl_pardiso->mtype, mat_mkl_pardiso->iparm);
    1167: #if defined(PETSC_USE_REAL_SINGLE)
    1168:       mat_mkl_pardiso->iparm[27] = 1;
    1169: #else
    1170:       mat_mkl_pardiso->iparm[27] = 0;
    1171: #endif
    1172:       mat_mkl_pardiso->iparm[34] = 1;
    1173:     } else if(icntl==70) {
    1174:       mat_mkl_pardiso->solve_interior = (PetscBool)!!ival;
    1175:     }
    1176:   }
    1177:   return(0);
    1178: }

    1182: /*@
    1183:   MatMkl_PardisoSetCntl - Set Mkl_Pardiso parameters

    1185:    Logically Collective on Mat

    1187:    Input Parameters:
    1188: +  F - the factored matrix obtained by calling MatGetFactor()
    1189: .  icntl - index of Mkl_Pardiso parameter
    1190: -  ival - value of Mkl_Pardiso parameter

    1192:   Options Database:
    1193: .   -mat_mkl_pardiso_<icntl> <ival>

    1195:    Level: beginner

    1197:    References:
    1198: .      Mkl_Pardiso Users' Guide

    1200: .seealso: MatGetFactor()
    1201: @*/
    1202: PetscErrorCode MatMkl_PardisoSetCntl(Mat F,PetscInt icntl,PetscInt ival)
    1203: {

    1207:   PetscTryMethod(F,"MatMkl_PardisoSetCntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));
    1208:   return(0);
    1209: }

    1211: /*MC
    1212:   MATSOLVERMKL_PARDISO -  A matrix type providing direct solvers (LU) for
    1213:   sequential matrices via the external package MKL_PARDISO.

    1215:   Works with MATSEQAIJ matrices

    1217:   Use -pc_type lu -pc_factor_mat_solver_package mkl_pardiso to us this direct solver

    1219:   Options Database Keys:
    1220: + -mat_mkl_pardiso_65 - Number of threads to use within MKL_PARDISO
    1221: . -mat_mkl_pardiso_66 - Maximum number of factors with identical sparsity structure that must be kept in memory at the same time
    1222: . -mat_mkl_pardiso_67 - Indicates the actual matrix for the solution phase
    1223: . -mat_mkl_pardiso_68 - Message level information
    1224: . -mat_mkl_pardiso_69 - Defines the matrix type. IMPORTANT: When you set this flag, iparm parameters are going to be set to the default ones for the matrix type
    1225: . -mat_mkl_pardiso_1  - Use default values
    1226: . -mat_mkl_pardiso_2  - Fill-in reducing ordering for the input matrix
    1227: . -mat_mkl_pardiso_4  - Preconditioned CGS/CG
    1228: . -mat_mkl_pardiso_5  - User permutation
    1229: . -mat_mkl_pardiso_6  - Write solution on x
    1230: . -mat_mkl_pardiso_8  - Iterative refinement step
    1231: . -mat_mkl_pardiso_10 - Pivoting perturbation
    1232: . -mat_mkl_pardiso_11 - Scaling vectors
    1233: . -mat_mkl_pardiso_12 - Solve with transposed or conjugate transposed matrix A
    1234: . -mat_mkl_pardiso_13 - Improved accuracy using (non-) symmetric weighted matching
    1235: . -mat_mkl_pardiso_18 - Numbers of non-zero elements
    1236: . -mat_mkl_pardiso_19 - Report number of floating point operations
    1237: . -mat_mkl_pardiso_21 - Pivoting for symmetric indefinite matrices
    1238: . -mat_mkl_pardiso_24 - Parallel factorization control
    1239: . -mat_mkl_pardiso_25 - Parallel forward/backward solve control
    1240: . -mat_mkl_pardiso_27 - Matrix checker
    1241: . -mat_mkl_pardiso_31 - Partial solve and computing selected components of the solution vectors
    1242: . -mat_mkl_pardiso_34 - Optimal number of threads for conditional numerical reproducibility (CNR) mode
    1243: - -mat_mkl_pardiso_60 - Intel MKL_PARDISO mode

    1245:   Level: beginner

    1247:   For more information please check  mkl_pardiso manual

    1249: .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage

    1251: M*/
    1254: static PetscErrorCode MatFactorGetSolverPackage_mkl_pardiso(Mat A, const MatSolverPackage *type)
    1255: {
    1257:   *type = MATSOLVERMKL_PARDISO;
    1258:   return(0);
    1259: }

    1263: PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mkl_pardiso(Mat A,MatFactorType ftype,Mat *F)
    1264: {
    1265:   Mat             B;
    1266:   PetscErrorCode  ierr;
    1267:   Mat_MKL_PARDISO *mat_mkl_pardiso;
    1268:   PetscBool       isSeqAIJ,isSeqBAIJ,isSeqSBAIJ;

    1271:   PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);
    1272:   PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);
    1273:   PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);
    1274:   MatCreate(PetscObjectComm((PetscObject)A),&B);
    1275:   MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);
    1276:   MatSetType(B,((PetscObject)A)->type_name);
    1277:   MatSeqAIJSetPreallocation(B,0,NULL);
    1278:   MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);
    1279:   MatSeqSBAIJSetPreallocation(B,A->rmap->bs,0,NULL);

    1281:   PetscNewLog(B,&mat_mkl_pardiso);
    1282:   B->spptr = mat_mkl_pardiso;

    1284:   MatFactorMKL_PARDISOInitialize_Private(A, ftype, mat_mkl_pardiso);
    1285:   if (ftype == MAT_FACTOR_LU) {
    1286:     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMKL_PARDISO;
    1287:     B->factortype            = MAT_FACTOR_LU;
    1288:     mat_mkl_pardiso->needsym = PETSC_FALSE;
    1289:     if (isSeqAIJ) {
    1290:       mat_mkl_pardiso->Convert = MatMKLPardiso_Convert_seqaij;
    1291:     } else if (isSeqBAIJ) {
    1292:       mat_mkl_pardiso->Convert = MatMKLPardiso_Convert_seqbaij;
    1293:     } else if (isSeqSBAIJ) {
    1294:       SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"No support for PARDISO LU factor with SEQSBAIJ format! Use MAT_FACTOR_CHOLESKY instead");
    1295:     } else {
    1296:       SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"No support for PARDISO LU with %s format",((PetscObject)A)->type_name);
    1297:     }
    1298: #if defined(PETSC_USE_COMPLEX)
    1299:     mat_mkl_pardiso->mtype = 13;
    1300: #else
    1301:     if (A->structurally_symmetric) {
    1302:       mat_mkl_pardiso->mtype = 1;
    1303:     } else {
    1304:       mat_mkl_pardiso->mtype = 11;
    1305:     }
    1306: #endif
    1307:     mat_mkl_pardiso->schur_solver_type = 0;
    1308:   } else {
    1309: #if defined(PETSC_USE_COMPLEX)
    1310:     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"No support for PARDISO CHOLESKY with complex scalars! Use MAT_FACTOR_LU instead",((PetscObject)A)->type_name);
    1311: #endif
    1312:     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_AIJMKL_PARDISO;
    1313:     B->factortype                  = MAT_FACTOR_CHOLESKY;
    1314:     if (isSeqAIJ) {
    1315:       mat_mkl_pardiso->Convert = MatMKLPardiso_Convert_seqaij;
    1316:     } else if (isSeqBAIJ) {
    1317:       mat_mkl_pardiso->Convert = MatMKLPardiso_Convert_seqbaij;
    1318:     } else if (isSeqSBAIJ) {
    1319:       mat_mkl_pardiso->Convert = MatMKLPardiso_Convert_seqsbaij;
    1320:     } else {
    1321:       SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"No support for PARDISO CHOLESKY with %s format",((PetscObject)A)->type_name);
    1322:     }
    1323:     mat_mkl_pardiso->needsym = PETSC_TRUE;
    1324:     if (A->spd_set && A->spd) {
    1325:       mat_mkl_pardiso->schur_solver_type = 1;
    1326:       mat_mkl_pardiso->mtype = 2;
    1327:     } else {
    1328:       mat_mkl_pardiso->schur_solver_type = 2;
    1329:       mat_mkl_pardiso->mtype = -2;
    1330:     }
    1331:   }
    1332:   mat_mkl_pardiso->Destroy = B->ops->destroy;
    1333:   B->ops->destroy          = MatDestroy_MKL_PARDISO;
    1334:   B->ops->view             = MatView_MKL_PARDISO;
    1335:   B->factortype            = ftype;
    1336:   B->ops->getinfo          = MatGetInfo_MKL_PARDISO;
    1337:   B->assembled             = PETSC_TRUE;

    1339:   PetscFree(B->solvertype);
    1340:   PetscStrallocpy(MATSOLVERMKL_PARDISO,&B->solvertype);

    1343:   PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mkl_pardiso);
    1344:   PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MKL_PARDISO);
    1345:   PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MKL_PARDISO);
    1346:   PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MKL_PARDISO);
    1347:   PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MKL_PARDISO);
    1348:   PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MKL_PARDISO);
    1349:   PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MKL_PARDISO);
    1350:   PetscObjectComposeFunction((PetscObject)B,"MatMkl_PardisoSetCntl_C",MatMkl_PardisoSetCntl_MKL_PARDISO);

    1352:   *F = B;
    1353:   return(0);
    1354: }

    1358: PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MKL_Pardiso(void)
    1359: {

    1363:   MatSolverPackageRegister(MATSOLVERMKL_PARDISO,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mkl_pardiso);
    1364:   MatSolverPackageRegister(MATSOLVERMKL_PARDISO,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mkl_pardiso);
    1365:   MatSolverPackageRegister(MATSOLVERMKL_PARDISO,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mkl_pardiso);
    1366:   return(0);
    1367: }