Date: 2021-03-03T22:26:12+00:00

Actual source code: mattransposematmult.c
petsc-3.14.5 2021-03-03
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      2: /*
      3:   Defines matrix-matrix product routines for
      4:           C = A^T * B and C = A * B^t
      5:   with A SeqAIJ and B SeqDense
      6: */

      8: #include <../src/mat/impls/aij/seq/aij.h>
      9: #include <../src/mat/impls/dense/seq/dense.h>

     11: PetscErrorCode MatDestroy_SeqDense_MatTransMatMult(void *data)
     12: {
     13:   PetscErrorCode      ierr;
     14:   Mat_MatTransMatMult *atb = (Mat_MatTransMatMult *)data;

     17:   MatDestroy(&atb->mA);
     18:   VecDestroy(&atb->bt);
     19:   VecDestroy(&atb->ct);
     20:   PetscFree(atb);
     21:   return(0);
     22: }

     24: static PetscErrorCode MatTMatTMultNumeric_SeqAIJ_SeqDense(Mat,Mat,Mat);

     26: PETSC_INTERN PetscErrorCode MatTMatTMultSymbolic_SeqAIJ_SeqDense(Mat A,Mat B,PetscReal fill,Mat C)
     27: {
     28:   PetscErrorCode      ierr;
     29:   Mat_MatTransMatMult *atb;
     30:   PetscBool           cisdense;
     31:   PetscInt            dofm;

     34:   MatCheckProduct(C,4);
     35:   if (C->product->data) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Extra product struct not empty");
     36:   if (C->product->type != MATPRODUCT_ABt && C->product->type != MATPRODUCT_AtB) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not for product type %s",MatProductTypes[C->product->type]);

     38:   /* create output dense matrix C */
     39:   if (C->product->type == MATPRODUCT_AtB) {
     40:     MatSetSizes(C,A->cmap->n,B->cmap->N,A->cmap->n,B->cmap->N);
     41:     dofm = B->cmap->n;
     42:   } else {
     43:     MatSetSizes(C,A->rmap->n,B->rmap->N,A->rmap->n,B->rmap->N);
     44:     dofm = B->rmap->n;
     45:   }
     46:   PetscObjectTypeCompareAny((PetscObject)C,&cisdense,MATSEQDENSE,MATSEQDENSECUDA,"");
     47:   if (!cisdense) {
     48:     MatSetType(C,((PetscObject)B)->type_name);
     49:   }
     50:   MatSetUp(C);

     52:   /* create additional data structure for the product */
     53:   PetscNew(&atb);
     54:   MatCreateMAIJ(A,dofm,&atb->mA);
     55:   MatCreateVecs(atb->mA,&atb->ct,&atb->bt);
     56:   C->product->data    = atb;
     57:   C->product->destroy = MatDestroy_SeqDense_MatTransMatMult;

     59:   if (C->product->type == MATPRODUCT_AtB) {
     60:     C->ops->transposematmultnumeric = MatTMatTMultNumeric_SeqAIJ_SeqDense;
     61:   } else {
     62:     C->ops->mattransposemultnumeric = MatTMatTMultNumeric_SeqAIJ_SeqDense;
     63:   }
     64:   return(0);
     65: }

     67: PetscErrorCode MatTMatTMultNumeric_SeqAIJ_SeqDense(Mat A,Mat B,Mat C)
     68: {
     69:   PetscErrorCode      ierr;
     70:   PetscInt            i,j,m=A->rmap->n,n=A->cmap->n,blda,clda;
     71:   PetscInt            mdof = C->cmap->N;
     72:   const PetscScalar   *Barray;
     73:   PetscScalar         *Carray;
     74:   Mat_MatTransMatMult *atb;
     75:   Vec                 bt,ct;

     78:   MatCheckProduct(C,3);
     79:   if (C->product->type != MATPRODUCT_ABt && C->product->type != MATPRODUCT_AtB) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not for product type %s",MatProductTypes[C->product->type]);
     80:   atb = (Mat_MatTransMatMult *)C->product->data;
     81:   if (!atb) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Missing product struct");
     82:   bt = atb->bt;
     83:   ct = atb->ct;

     85:   MatDenseGetArrayRead(B,&Barray);
     86:   MatDenseGetLDA(B,&blda);
     87:   MatDenseGetArrayWrite(C,&Carray);
     88:   MatDenseGetLDA(C,&clda);
     89:   if (C->product->type == MATPRODUCT_AtB) { /* transpose local array of B, then copy it to vector bt */
     90:     const PetscScalar *ctarray;
     91:     PetscScalar       *btarray;

     93:     VecGetArrayWrite(bt,&btarray);
     94:     for (j=0; j<mdof; j++) {
     95:       for (i=0; i<m; i++) btarray[i*mdof + j] = Barray[j*blda + i];
     96:     }
     97:     VecRestoreArrayWrite(bt,&btarray);

     99:     /* compute ct = mA^T * cb */
    100:     MatMultTranspose(atb->mA,bt,ct);

    102:     /* transpose local array of ct to matrix C */
    103:     VecGetArrayRead(ct,&ctarray);
    104:     for (j=0; j<mdof; j++) {
    105:       for (i=0; i<n; i++) Carray[j*clda + i] = ctarray[i*mdof + j];
    106:     }
    107:     VecRestoreArrayRead(ct,&ctarray);
    108:   } else {
    109:     const PetscScalar *btarray;
    110:     PetscScalar       *ctarray;

    112:     if (blda == B->rmap->n) {
    113:       VecPlaceArray(ct,Barray);
    114:     } else {
    115:       PetscInt bn = B->cmap->n;
    116:       PetscInt bm = B->rmap->n;

    118:       VecGetArrayWrite(ct,&ctarray);
    119:       for (j=0; j<bn; j++) {
    120:         for (i=0; i<bm; i++) ctarray[j*bm + i] = Barray[j*blda + i];
    121:       }
    122:       VecRestoreArrayWrite(ct,&ctarray);
    123:     }

    125:     MatMult(atb->mA,ct,bt);
    126:     if (blda == B->rmap->n) {
    127:       VecResetArray(ct);
    128:     }
    129:     VecGetArrayRead(bt,&btarray);
    130:     for (j=0; j<mdof; j++) {
    131:       for (i=0; i<m; i++) Carray[j*clda + i] = btarray[i*mdof + j];
    132:     }
    133:     VecRestoreArrayRead(bt,&btarray);
    134:   }
    135:   MatDenseRestoreArrayRead(B,&Barray);
    136:   MatDenseRestoreArray(C,&Carray);
    137:   return(0);
    138: }