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 MatTransposeMatMultSymbolic_SeqAIJ_SeqDense(Mat A,Mat B,PetscReal fill,Mat C)
 26: {
 27:   PetscErrorCode      ierr;
 28:   PetscInt            m=A->rmap->n,n=A->cmap->n,BN=B->cmap->N;
 29:   Mat_MatTransMatMult *atb;
 30:   Vec                 bt,ct;
 31:   Mat_SeqDense        *c;

 34:   PetscNew(&atb);

 36:   /* create output dense matrix C = A^T*B */
 37:   MatSetSizes(C,n,BN,n,BN);
 38:   MatSetType(C,MATSEQDENSE);
 39:   MatSetUp(C);

 41:   /* create vectors bt and ct to hold locally transposed arrays of B and C */
 42:   VecCreate(PETSC_COMM_SELF,&bt);
 43:   VecSetSizes(bt,m*BN,m*BN);
 44:   VecSetType(bt,VECSTANDARD);
 45:   VecCreate(PETSC_COMM_SELF,&ct);
 46:   VecSetSizes(ct,n*BN,n*BN);
 47:   VecSetType(ct,VECSTANDARD);
 48:   atb->bt = bt;
 49:   atb->ct = ct;

 51:   c                               = (Mat_SeqDense*)C->data;
 52:   c->atb                          = atb;
 53:   atb->destroy                    = C->ops->destroy;
 54:   C->ops->destroy                 = MatDestroy_SeqDense_MatTransMatMult;
 55:   C->ops->transposematmultnumeric = MatTransposeMatMultNumeric_SeqAIJ_SeqDense;
 56:   return(0);
 57: }

 59: PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqDense(Mat A,Mat B,Mat C)
 60: {
 61:   PetscErrorCode      ierr;
 62:   PetscInt            i,j,k,m=A->rmap->n,n=A->cmap->n,BN=B->cmap->N;
 63:   const PetscScalar   *Barray,*ctarray;
 64:   PetscScalar         *Carray,*btarray;
 65:   Mat_SeqDense        *c=(Mat_SeqDense*)C->data;
 66:   Mat_MatTransMatMult *atb=c->atb;
 67:   Vec                 bt=atb->bt,ct=atb->ct;

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

 74:   /* transpose local arry of B, then copy it to vector bt */
 75:   MatDenseGetArrayRead(B,&Barray);
 76:   VecGetArray(bt,&btarray);

 78:   k=0;
 79:   for (j=0; j<BN; j++) {
 80:     for (i=0; i<m; i++) btarray[i*BN + j] = Barray[k++]; 
 81:   }
 82:   VecRestoreArray(bt,&btarray);
 83:   MatDenseRestoreArrayRead(B,&Barray);
 84:   
 85:   /* compute ct = mA^T * cb */
 86:   MatMultTranspose(atb->mA,bt,ct);

 88:   /* transpose local arry of ct to matrix C */
 89:   MatDenseGetArray(C,&Carray);
 90:   VecGetArrayRead(ct,&ctarray);
 91:   k = 0;
 92:   for (j=0; j<BN; j++) {
 93:     for (i=0; i<n; i++) Carray[k++] = ctarray[i*BN + j];
 94:   }
 95:   VecRestoreArrayRead(ct,&ctarray);
 96:   MatDenseRestoreArray(C,&Carray);
 97:   return(0);
 98: }