Date: 2015-10-02T22:10:28+00:00

Actual source code: mcomposite.c
petsc-3.6.2 2015-10-02
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      2: #include <petsc/private/matimpl.h>        /*I "petscmat.h" I*/

      4: typedef struct _Mat_CompositeLink *Mat_CompositeLink;
      5: struct _Mat_CompositeLink {
      6:   Mat               mat;
      7:   Vec               work;
      8:   Mat_CompositeLink next,prev;
      9: };

     11: typedef struct {
     12:   MatCompositeType  type;
     13:   Mat_CompositeLink head,tail;
     14:   Vec               work;
     15:   PetscScalar       scale;        /* scale factor supplied with MatScale() */
     16:   Vec               left,right;   /* left and right diagonal scaling provided with MatDiagonalScale() */
     17:   Vec               leftwork,rightwork;
     18: } Mat_Composite;

     22: PetscErrorCode MatDestroy_Composite(Mat mat)
     23: {
     24:   PetscErrorCode    ierr;
     25:   Mat_Composite     *shell = (Mat_Composite*)mat->data;
     26:   Mat_CompositeLink next   = shell->head,oldnext;

     29:   while (next) {
     30:     MatDestroy(&next->mat);
     31:     if (next->work && (!next->next || next->work != next->next->work)) {
     32:       VecDestroy(&next->work);
     33:     }
     34:     oldnext = next;
     35:     next    = next->next;
     36:     PetscFree(oldnext);
     37:   }
     38:   VecDestroy(&shell->work);
     39:   VecDestroy(&shell->left);
     40:   VecDestroy(&shell->right);
     41:   VecDestroy(&shell->leftwork);
     42:   VecDestroy(&shell->rightwork);
     43:   PetscFree(mat->data);
     44:   return(0);
     45: }

     49: PetscErrorCode MatMult_Composite_Multiplicative(Mat A,Vec x,Vec y)
     50: {
     51:   Mat_Composite     *shell = (Mat_Composite*)A->data;
     52:   Mat_CompositeLink next   = shell->head;
     53:   PetscErrorCode    ierr;
     54:   Vec               in,out;

     57:   if (!next) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must provide at least one matrix with MatCompositeAddMat()");
     58:   in = x;
     59:   if (shell->right) {
     60:     if (!shell->rightwork) {
     61:       VecDuplicate(shell->right,&shell->rightwork);
     62:     }
     63:     VecPointwiseMult(shell->rightwork,shell->right,in);
     64:     in   = shell->rightwork;
     65:   }
     66:   while (next->next) {
     67:     if (!next->work) { /* should reuse previous work if the same size */
     68:       MatCreateVecs(next->mat,NULL,&next->work);
     69:     }
     70:     out  = next->work;
     71:     MatMult(next->mat,in,out);
     72:     in   = out;
     73:     next = next->next;
     74:   }
     75:   MatMult(next->mat,in,y);
     76:   if (shell->left) {
     77:     VecPointwiseMult(y,shell->left,y);
     78:   }
     79:   VecScale(y,shell->scale);
     80:   return(0);
     81: }

     85: PetscErrorCode MatMultTranspose_Composite_Multiplicative(Mat A,Vec x,Vec y)
     86: {
     87:   Mat_Composite     *shell = (Mat_Composite*)A->data;
     88:   Mat_CompositeLink tail   = shell->tail;
     89:   PetscErrorCode    ierr;
     90:   Vec               in,out;

     93:   if (!tail) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must provide at least one matrix with MatCompositeAddMat()");
     94:   in = x;
     95:   if (shell->left) {
     96:     if (!shell->leftwork) {
     97:       VecDuplicate(shell->left,&shell->leftwork);
     98:     }
     99:     VecPointwiseMult(shell->leftwork,shell->left,in);
    100:     in   = shell->leftwork;
    101:   }
    102:   while (tail->prev) {
    103:     if (!tail->prev->work) { /* should reuse previous work if the same size */
    104:       MatCreateVecs(tail->mat,NULL,&tail->prev->work);
    105:     }
    106:     out  = tail->prev->work;
    107:     MatMultTranspose(tail->mat,in,out);
    108:     in   = out;
    109:     tail = tail->prev;
    110:   }
    111:   MatMultTranspose(tail->mat,in,y);
    112:   if (shell->right) {
    113:     VecPointwiseMult(y,shell->right,y);
    114:   }
    115:   VecScale(y,shell->scale);
    116:   return(0);
    117: }

    121: PetscErrorCode MatMult_Composite(Mat A,Vec x,Vec y)
    122: {
    123:   Mat_Composite     *shell = (Mat_Composite*)A->data;
    124:   Mat_CompositeLink next   = shell->head;
    125:   PetscErrorCode    ierr;
    126:   Vec               in;

    129:   if (!next) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must provide at least one matrix with MatCompositeAddMat()");
    130:   in = x;
    131:   if (shell->right) {
    132:     if (!shell->rightwork) {
    133:       VecDuplicate(shell->right,&shell->rightwork);
    134:     }
    135:     VecPointwiseMult(shell->rightwork,shell->right,in);
    136:     in   = shell->rightwork;
    137:   }
    138:   MatMult(next->mat,in,y);
    139:   while ((next = next->next)) {
    140:     MatMultAdd(next->mat,in,y,y);
    141:   }
    142:   if (shell->left) {
    143:     VecPointwiseMult(y,shell->left,y);
    144:   }
    145:   VecScale(y,shell->scale);
    146:   return(0);
    147: }

    151: PetscErrorCode MatMultTranspose_Composite(Mat A,Vec x,Vec y)
    152: {
    153:   Mat_Composite     *shell = (Mat_Composite*)A->data;
    154:   Mat_CompositeLink next   = shell->head;
    155:   PetscErrorCode    ierr;
    156:   Vec               in;

    159:   if (!next) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must provide at least one matrix with MatCompositeAddMat()");
    160:   in = x;
    161:   if (shell->left) {
    162:     if (!shell->leftwork) {
    163:       VecDuplicate(shell->left,&shell->leftwork);
    164:     }
    165:     VecPointwiseMult(shell->leftwork,shell->left,in);
    166:     in   = shell->leftwork;
    167:   }
    168:   MatMultTranspose(next->mat,in,y);
    169:   while ((next = next->next)) {
    170:     MatMultTransposeAdd(next->mat,in,y,y);
    171:   }
    172:   if (shell->right) {
    173:     VecPointwiseMult(y,shell->right,y);
    174:   }
    175:   VecScale(y,shell->scale);
    176:   return(0);
    177: }

    181: PetscErrorCode MatGetDiagonal_Composite(Mat A,Vec v)
    182: {
    183:   Mat_Composite     *shell = (Mat_Composite*)A->data;
    184:   Mat_CompositeLink next   = shell->head;
    185:   PetscErrorCode    ierr;

    188:   if (!next) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must provide at least one matrix with MatCompositeAddMat()");
    189:   if (shell->right || shell->left) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot get diagonal if left or right scaling");

    191:   MatGetDiagonal(next->mat,v);
    192:   if (next->next && !shell->work) {
    193:     VecDuplicate(v,&shell->work);
    194:   }
    195:   while ((next = next->next)) {
    196:     MatGetDiagonal(next->mat,shell->work);
    197:     VecAXPY(v,1.0,shell->work);
    198:   }
    199:   VecScale(v,shell->scale);
    200:   return(0);
    201: }

    205: PetscErrorCode MatAssemblyEnd_Composite(Mat Y,MatAssemblyType t)
    206: {
    208:   PetscBool      flg = PETSC_FALSE;

    211:   PetscOptionsGetBool(((PetscObject)Y)->prefix,"-mat_composite_merge",&flg,NULL);
    212:   if (flg) {
    213:     MatCompositeMerge(Y);
    214:   }
    215:   return(0);
    216: }

    220: PetscErrorCode MatScale_Composite(Mat inA,PetscScalar alpha)
    221: {
    222:   Mat_Composite *a = (Mat_Composite*)inA->data;

    225:   a->scale *= alpha;
    226:   return(0);
    227: }

    231: PetscErrorCode MatDiagonalScale_Composite(Mat inA,Vec left,Vec right)
    232: {
    233:   Mat_Composite  *a = (Mat_Composite*)inA->data;

    237:   if (left) {
    238:     if (!a->left) {
    239:       VecDuplicate(left,&a->left);
    240:       VecCopy(left,a->left);
    241:     } else {
    242:       VecPointwiseMult(a->left,left,a->left);
    243:     }
    244:   }
    245:   if (right) {
    246:     if (!a->right) {
    247:       VecDuplicate(right,&a->right);
    248:       VecCopy(right,a->right);
    249:     } else {
    250:       VecPointwiseMult(a->right,right,a->right);
    251:     }
    252:   }
    253:   return(0);
    254: }

    256: static struct _MatOps MatOps_Values = {0,
    257:                                        0,
    258:                                        0,
    259:                                        MatMult_Composite,
    260:                                        0,
    261:                                 /*  5*/ MatMultTranspose_Composite,
    262:                                        0,
    263:                                        0,
    264:                                        0,
    265:                                        0,
    266:                                 /* 10*/ 0,
    267:                                        0,
    268:                                        0,
    269:                                        0,
    270:                                        0,
    271:                                 /* 15*/ 0,
    272:                                        0,
    273:                                        MatGetDiagonal_Composite,
    274:                                        MatDiagonalScale_Composite,
    275:                                        0,
    276:                                 /* 20*/ 0,
    277:                                        MatAssemblyEnd_Composite,
    278:                                        0,
    279:                                        0,
    280:                                /* 24*/ 0,
    281:                                        0,
    282:                                        0,
    283:                                        0,
    284:                                        0,
    285:                                /* 29*/ 0,
    286:                                        0,
    287:                                        0,
    288:                                        0,
    289:                                        0,
    290:                                /* 34*/ 0,
    291:                                        0,
    292:                                        0,
    293:                                        0,
    294:                                        0,
    295:                                /* 39*/ 0,
    296:                                        0,
    297:                                        0,
    298:                                        0,
    299:                                        0,
    300:                                /* 44*/ 0,
    301:                                        MatScale_Composite,
    302:                                        MatShift_Basic,
    303:                                        0,
    304:                                        0,
    305:                                /* 49*/ 0,
    306:                                        0,
    307:                                        0,
    308:                                        0,
    309:                                        0,
    310:                                /* 54*/ 0,
    311:                                        0,
    312:                                        0,
    313:                                        0,
    314:                                        0,
    315:                                /* 59*/ 0,
    316:                                        MatDestroy_Composite,
    317:                                        0,
    318:                                        0,
    319:                                        0,
    320:                                /* 64*/ 0,
    321:                                        0,
    322:                                        0,
    323:                                        0,
    324:                                        0,
    325:                                /* 69*/ 0,
    326:                                        0,
    327:                                        0,
    328:                                        0,
    329:                                        0,
    330:                                /* 74*/ 0,
    331:                                        0,
    332:                                        0,
    333:                                        0,
    334:                                        0,
    335:                                /* 79*/ 0,
    336:                                        0,
    337:                                        0,
    338:                                        0,
    339:                                        0,
    340:                                /* 84*/ 0,
    341:                                        0,
    342:                                        0,
    343:                                        0,
    344:                                        0,
    345:                                /* 89*/ 0,
    346:                                        0,
    347:                                        0,
    348:                                        0,
    349:                                        0,
    350:                                /* 94*/ 0,
    351:                                        0,
    352:                                        0,
    353:                                        0,
    354:                                        0,
    355:                                 /*99*/ 0,
    356:                                        0,
    357:                                        0,
    358:                                        0,
    359:                                        0,
    360:                                /*104*/ 0,
    361:                                        0,
    362:                                        0,
    363:                                        0,
    364:                                        0,
    365:                                /*109*/ 0,
    366:                                        0,
    367:                                        0,
    368:                                        0,
    369:                                        0,
    370:                                /*114*/ 0,
    371:                                        0,
    372:                                        0,
    373:                                        0,
    374:                                        0,
    375:                                /*119*/ 0,
    376:                                        0,
    377:                                        0,
    378:                                        0,
    379:                                        0,
    380:                                /*124*/ 0,
    381:                                        0,
    382:                                        0,
    383:                                        0,
    384:                                        0,
    385:                                /*129*/ 0,
    386:                                        0,
    387:                                        0,
    388:                                        0,
    389:                                        0,
    390:                                /*134*/ 0,
    391:                                        0,
    392:                                        0,
    393:                                        0,
    394:                                        0,
    395:                                /*139*/ 0,
    396:                                        0,
    397:                                        0
    398: };

    400: /*MC
    401:    MATCOMPOSITE - A matrix defined by the sum (or product) of one or more matrices (all matrices are of same size and parallel layout).

    403:    Notes: to use the product of the matrices call MatCompositeSetType(mat,MAT_COMPOSITE_MULTIPLICATIVE);

    405:   Level: advanced

    407: .seealso: MatCreateComposite(), MatCompositeAddMat(), MatSetType(), MatCompositeMerge(), MatCompositeSetType(), MatCompositeType
    408: M*/

    412: PETSC_EXTERN PetscErrorCode MatCreate_Composite(Mat A)
    413: {
    414:   Mat_Composite  *b;

    418:   PetscNewLog(A,&b);
    419:   A->data = (void*)b;
    420:   PetscMemcpy(A->ops,&MatOps_Values,sizeof(struct _MatOps));

    422:   PetscLayoutSetUp(A->rmap);
    423:   PetscLayoutSetUp(A->cmap);

    425:   A->assembled    = PETSC_TRUE;
    426:   A->preallocated = PETSC_TRUE;
    427:   b->type         = MAT_COMPOSITE_ADDITIVE;
    428:   b->scale        = 1.0;
    429:   PetscObjectChangeTypeName((PetscObject)A,MATCOMPOSITE);
    430:   return(0);
    431: }

    435: /*@C
    436:    MatCreateComposite - Creates a matrix as the sum of zero or more matrices

    438:   Collective on MPI_Comm

    440:    Input Parameters:
    441: +  comm - MPI communicator
    442: .  nmat - number of matrices to put in
    443: -  mats - the matrices

    445:    Output Parameter:
    446: .  A - the matrix

    448:    Level: advanced

    450:    Notes:
    451:      Alternative construction
    452: $       MatCreate(comm,&mat);
    453: $       MatSetSizes(mat,m,n,M,N);
    454: $       MatSetType(mat,MATCOMPOSITE);
    455: $       MatCompositeAddMat(mat,mats[0]);
    456: $       ....
    457: $       MatCompositeAddMat(mat,mats[nmat-1]);
    458: $       MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);
    459: $       MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);

    461:      For the multiplicative form the product is mat[nmat-1]*mat[nmat-2]*....*mat[0]

    463: .seealso: MatDestroy(), MatMult(), MatCompositeAddMat(), MatCompositeMerge(), MatCompositeSetType(), MatCompositeType

    465: @*/
    466: PetscErrorCode  MatCreateComposite(MPI_Comm comm,PetscInt nmat,const Mat *mats,Mat *mat)
    467: {
    469:   PetscInt       m,n,M,N,i;

    472:   if (nmat < 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Must pass in at least one matrix");

    475:   MatGetLocalSize(mats[0],&m,&n);
    476:   MatGetSize(mats[0],&M,&N);
    477:   MatCreate(comm,mat);
    478:   MatSetSizes(*mat,m,n,M,N);
    479:   MatSetType(*mat,MATCOMPOSITE);
    480:   for (i=0; i<nmat; i++) {
    481:     MatCompositeAddMat(*mat,mats[i]);
    482:   }
    483:   MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);
    484:   MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);
    485:   return(0);
    486: }

    490: /*@
    491:     MatCompositeAddMat - add another matrix to a composite matrix

    493:    Collective on Mat

    495:     Input Parameters:
    496: +   mat - the composite matrix
    497: -   smat - the partial matrix

    499:    Level: advanced

    501: .seealso: MatCreateComposite()
    502: @*/
    503: PetscErrorCode  MatCompositeAddMat(Mat mat,Mat smat)
    504: {
    505:   Mat_Composite     *shell;
    506:   PetscErrorCode    ierr;
    507:   Mat_CompositeLink ilink,next;

    512:   PetscNewLog(mat,&ilink);
    513:   ilink->next = 0;
    514:   PetscObjectReference((PetscObject)smat);
    515:   ilink->mat  = smat;

    517:   shell = (Mat_Composite*)mat->data;
    518:   next  = shell->head;
    519:   if (!next) shell->head = ilink;
    520:   else {
    521:     while (next->next) {
    522:       next = next->next;
    523:     }
    524:     next->next  = ilink;
    525:     ilink->prev = next;
    526:   }
    527:   shell->tail = ilink;
    528:   return(0);
    529: }

    533: /*@C
    534:    MatCompositeSetType - Indicates if the matrix is defined as the sum of a set of matrices or the product

    536:   Collective on MPI_Comm

    538:    Input Parameters:
    539: .  mat - the composite matrix

    542:    Level: advanced

    544:    Notes:
    545:       The MatType of the resulting matrix will be the same as the MatType of the FIRST
    546:     matrix in the composite matrix.

    548: .seealso: MatDestroy(), MatMult(), MatCompositeAddMat(), MatCreateComposite(), MATCOMPOSITE

    550: @*/
    551: PetscErrorCode  MatCompositeSetType(Mat mat,MatCompositeType type)
    552: {
    553:   Mat_Composite  *b = (Mat_Composite*)mat->data;
    554:   PetscBool      flg;

    558:   PetscObjectTypeCompare((PetscObject)mat,MATCOMPOSITE,&flg);
    559:   if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Can only use with composite matrix");
    560:   if (type == MAT_COMPOSITE_MULTIPLICATIVE) {
    561:     mat->ops->getdiagonal   = 0;
    562:     mat->ops->mult          = MatMult_Composite_Multiplicative;
    563:     mat->ops->multtranspose = MatMultTranspose_Composite_Multiplicative;
    564:     b->type                 = MAT_COMPOSITE_MULTIPLICATIVE;
    565:   } else {
    566:     mat->ops->getdiagonal   = MatGetDiagonal_Composite;
    567:     mat->ops->mult          = MatMult_Composite;
    568:     mat->ops->multtranspose = MatMultTranspose_Composite;
    569:     b->type                 = MAT_COMPOSITE_ADDITIVE;
    570:   }
    571:   return(0);
    572: }

    577: /*@C
    578:    MatCompositeMerge - Given a composite matrix, replaces it with a "regular" matrix
    579:      by summing all the matrices inside the composite matrix.

    581:   Collective on MPI_Comm

    583:    Input Parameters:
    584: .  mat - the composite matrix

    587:    Options Database:
    588: .  -mat_composite_merge  (you must call MatAssemblyBegin()/MatAssemblyEnd() to have this checked)

    590:    Level: advanced

    592:    Notes:
    593:       The MatType of the resulting matrix will be the same as the MatType of the FIRST
    594:     matrix in the composite matrix.

    596: .seealso: MatDestroy(), MatMult(), MatCompositeAddMat(), MatCreateComposite(), MATCOMPOSITE

    598: @*/
    599: PetscErrorCode  MatCompositeMerge(Mat mat)
    600: {
    601:   Mat_Composite     *shell = (Mat_Composite*)mat->data;
    602:   Mat_CompositeLink next   = shell->head, prev = shell->tail;
    603:   PetscErrorCode    ierr;
    604:   Mat               tmat,newmat;
    605:   Vec               left,right;
    606:   PetscScalar       scale;

    609:   if (!next) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must provide at least one matrix with MatCompositeAddMat()");

    612:   if (shell->type == MAT_COMPOSITE_ADDITIVE) {
    613:     MatDuplicate(next->mat,MAT_COPY_VALUES,&tmat);
    614:     while ((next = next->next)) {
    615:       MatAXPY(tmat,1.0,next->mat,DIFFERENT_NONZERO_PATTERN);
    616:     }
    617:   } else {
    618:     MatDuplicate(next->mat,MAT_COPY_VALUES,&tmat);
    619:     while ((prev = prev->prev)) {
    620:       MatMatMult(tmat,prev->mat,MAT_INITIAL_MATRIX,PETSC_DECIDE,&newmat);
    621:       MatDestroy(&tmat);
    622:       tmat = newmat;
    623:     }
    624:   }

    626:   scale = shell->scale;
    627:   if ((left = shell->left)) {PetscObjectReference((PetscObject)left);}
    628:   if ((right = shell->right)) {PetscObjectReference((PetscObject)right);}

    630:   MatHeaderReplace(mat,tmat);

    632:   MatDiagonalScale(mat,left,right);
    633:   MatScale(mat,scale);
    634:   VecDestroy(&left);
    635:   VecDestroy(&right);
    636:   return(0);
    637: }