Actual source code: mattransposematmult.c
petsc-3.10.5 2019-03-28
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      2: /*
      3:   Defines matrix-matrix product routines
      4:           C = A^T * B
      5: */

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

     10: PetscErrorCode MatDestroy_SeqDense_MatTransMatMult(Mat A)
     11: {
     12:   PetscErrorCode      ierr;
     13:   Mat_SeqDense        *a = (Mat_SeqDense*)A->data;
     14:   Mat_MatTransMatMult *atb = a->atb;

     17:   MatDestroy(&atb->mA);
     18:   VecDestroy(&atb->bt);
     19:   VecDestroy(&atb->ct);
     20:   (atb->destroy)(A);
     21:   PetscFree(atb);
     22:   return(0);
     23: }

     25: PetscErrorCode MatTransposeMatMult_SeqAIJ_SeqDense(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
     26: {
     28:
     30:   if (scall == MAT_INITIAL_MATRIX) {
     31:     PetscLogEventBegin(MAT_TransposeMatMultSymbolic,A,B,0,0);
     32:     MatTransposeMatMultSymbolic_SeqAIJ_SeqDense(A,B,fill,C);
     33:     PetscLogEventEnd(MAT_TransposeMatMultSymbolic,A,B,0,0);
     34:   }
     35:   PetscLogEventBegin(MAT_TransposeMatMultNumeric,A,B,0,0);
     36:   MatTransposeMatMultNumeric_SeqAIJ_SeqDense(A,B,*C);
     37:   PetscLogEventEnd(MAT_TransposeMatMultNumeric,A,B,0,0);
     38:   return(0);
     39: }

     41: PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqDense(Mat A,Mat B,PetscReal fill,Mat *C)
     42: {
     43:   PetscErrorCode      ierr;
     44:   PetscInt            m=A->rmap->n,n=A->cmap->n,BN=B->cmap->N;
     45:   Mat_MatTransMatMult *atb;
     46:   Mat                 Cdense;
     47:   Vec                 bt,ct;
     48:   Mat_SeqDense        *c;

     51:   PetscNew(&atb);

     53:   /* create output dense matrix C = A^T*B */
     54:   MatCreate(PETSC_COMM_SELF,&Cdense);
     55:   MatSetSizes(Cdense,n,BN,n,BN);
     56:   MatSetType(Cdense,MATSEQDENSE);
     57:   MatSeqDenseSetPreallocation(Cdense,NULL);

     59:   /* create vectors bt and ct to hold locally transposed arrays of B and C */
     60:   VecCreate(PETSC_COMM_SELF,&bt);
     61:   VecSetSizes(bt,m*BN,m*BN);
     62:   VecSetType(bt,VECSTANDARD);
     63:   VecCreate(PETSC_COMM_SELF,&ct);
     64:   VecSetSizes(ct,n*BN,n*BN);
     65:   VecSetType(ct,VECSTANDARD);
     66:   atb->bt = bt;
     67:   atb->ct = ct;

     69:   *C                   = Cdense;
     70:   c                    = (Mat_SeqDense*)Cdense->data;
     71:   c->atb               = atb;
     72:   atb->destroy         = Cdense->ops->destroy;
     73:   Cdense->ops->destroy = MatDestroy_SeqDense_MatTransMatMult;
     74:   return(0);
     75: }

     77: PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqDense(Mat A,Mat B,Mat C)
     78: {
     79:   PetscErrorCode      ierr;
     80:   PetscInt            i,j,k,m=A->rmap->n,n=A->cmap->n,BN=B->cmap->N;
     81:   PetscScalar         *Barray,*Carray,*btarray,*ctarray;
     82:   Mat_SeqDense        *c=(Mat_SeqDense*)C->data;
     83:   Mat_MatTransMatMult *atb=c->atb;
     84:   Vec                 bt=atb->bt,ct=atb->ct;

     87:   /* create MAIJ matrix mA from A -- should be done in symbolic phase */
     88:   MatDestroy(&atb->mA);
     89:   MatCreateMAIJ(A,BN,&atb->mA);

     91:   /* transpose local arry of B, then copy it to vector bt */
     92:   MatDenseGetArray(B,&Barray);
     93:   VecGetArray(bt,&btarray);

     95:   k=0;
     96:   for (j=0; j<BN; j++) {
     97:     for (i=0; i<m; i++) btarray[i*BN + j] = Barray[k++];
     98:   }
     99:   VecRestoreArray(bt,&btarray);
    100:   MatDenseRestoreArray(B,&Barray);
    101:
    102:   /* compute ct = mA^T * cb */
    103:   MatMultTranspose(atb->mA,bt,ct);

    105:   /* transpose local arry of ct to matrix C */
    106:   MatDenseGetArray(C,&Carray);
    107:   VecGetArray(ct,&ctarray);
    108:   k = 0;
    109:   for (j=0; j<BN; j++) {
    110:     for (i=0; i<n; i++) Carray[k++] = ctarray[i*BN + j];
    111:   }
    112:   VecRestoreArray(ct,&ctarray);
    113:   MatDenseRestoreArray(C,&Carray);
    114:   return(0);
    115: }