void PetscMatrix<Scalar>::create(unsigned int size, unsigned int nnz, int* ap, int* ai, Scalar* ax)
{
this->size = size;
this->nnz = nnz;
PetscScalar* pax = malloc_with_check(nnz, this);
for (unsigned i = 0; i < nnz; i++)
pax[i] = to_petsc(ax[i]);
MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, size, size, ap, ai, pax, &matrix);
delete pax;
}
PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy(Mat A,Mat P,PetscReal fill,Mat *C)
{
PetscErrorCode ierr;
PetscFreeSpaceList free_space=NULL,current_space=NULL;
Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*p = (Mat_SeqAIJ*)P->data,*c;
PetscInt *pti,*ptj,*ptJ,*ai=a->i,*aj=a->j,*ajj,*pi=p->i,*pj=p->j,*pjj;
PetscInt *ci,*cj,*ptadenserow,*ptasparserow,*ptaj,nspacedouble=0;
PetscInt an=A->cmap->N,am=A->rmap->N,pn=P->cmap->N,pm=P->rmap->N;
PetscInt i,j,k,ptnzi,arow,anzj,ptanzi,prow,pnzj,cnzi,nlnk,*lnk;
MatScalar *ca;
PetscBT lnkbt;
PetscReal afill;
PetscFunctionBegin;
/* Get ij structure of P^T */
ierr = MatGetSymbolicTranspose_SeqAIJ(P,&pti,&ptj);CHKERRQ(ierr);
ptJ = ptj;
/* Allocate ci array, arrays for fill computation and */
/* free space for accumulating nonzero column info */
ierr = PetscMalloc1(pn+1,&ci);CHKERRQ(ierr);
ci[0] = 0;
ierr = PetscCalloc1(2*an+1,&ptadenserow);CHKERRQ(ierr);
ptasparserow = ptadenserow + an;
/* create and initialize a linked list */
nlnk = pn+1;
ierr = PetscLLCreate(pn,pn,nlnk,lnk,lnkbt);CHKERRQ(ierr);
/* Set initial free space to be fill*(nnz(A)+ nnz(P)) */
ierr = PetscFreeSpaceGet(PetscRealIntMultTruncate(fill,PetscIntSumTruncate(ai[am],pi[pm])),&free_space);CHKERRQ(ierr);
current_space = free_space;
/* Determine symbolic info for each row of C: */
for (i=0; i<pn; i++) {
ptnzi = pti[i+1] - pti[i];
ptanzi = 0;
/* Determine symbolic row of PtA: */
for (j=0; j<ptnzi; j++) {
arow = *ptJ++;
anzj = ai[arow+1] - ai[arow];
ajj = aj + ai[arow];
for (k=0; k<anzj; k++) {
if (!ptadenserow[ajj[k]]) {
ptadenserow[ajj[k]] = -1;
ptasparserow[ptanzi++] = ajj[k];
}
}
}
/* Using symbolic info for row of PtA, determine symbolic info for row of C: */
ptaj = ptasparserow;
cnzi = 0;
for (j=0; j<ptanzi; j++) {
prow = *ptaj++;
pnzj = pi[prow+1] - pi[prow];
pjj = pj + pi[prow];
/* add non-zero cols of P into the sorted linked list lnk */
ierr = PetscLLAddSorted(pnzj,pjj,pn,nlnk,lnk,lnkbt);CHKERRQ(ierr);
cnzi += nlnk;
}
/* If free space is not available, make more free space */
/* Double the amount of total space in the list */
if (current_space->local_remaining<cnzi) {
ierr = PetscFreeSpaceGet(PetscIntSumTruncate(cnzi,current_space->total_array_size),¤t_space);CHKERRQ(ierr);
nspacedouble++;
}
/* Copy data into free space, and zero out denserows */
ierr = PetscLLClean(pn,pn,cnzi,lnk,current_space->array,lnkbt);CHKERRQ(ierr);
current_space->array += cnzi;
current_space->local_used += cnzi;
current_space->local_remaining -= cnzi;
for (j=0; j<ptanzi; j++) ptadenserow[ptasparserow[j]] = 0;
/* Aside: Perhaps we should save the pta info for the numerical factorization. */
/* For now, we will recompute what is needed. */
ci[i+1] = ci[i] + cnzi;
}
/* nnz is now stored in ci[ptm], column indices are in the list of free space */
/* Allocate space for cj, initialize cj, and */
/* destroy list of free space and other temporary array(s) */
ierr = PetscMalloc1(ci[pn]+1,&cj);CHKERRQ(ierr);
ierr = PetscFreeSpaceContiguous(&free_space,cj);CHKERRQ(ierr);
ierr = PetscFree(ptadenserow);CHKERRQ(ierr);
ierr = PetscLLDestroy(lnk,lnkbt);CHKERRQ(ierr);
ierr = PetscCalloc1(ci[pn]+1,&ca);CHKERRQ(ierr);
/* put together the new matrix */
ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),pn,pn,ci,cj,ca,C);CHKERRQ(ierr);
ierr = MatSetBlockSizes(*C,PetscAbs(P->cmap->bs),PetscAbs(P->cmap->bs));CHKERRQ(ierr);
/* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
/* Since these are PETSc arrays, change flags to free them as necessary. */
c = (Mat_SeqAIJ*)((*C)->data);
c->free_a = PETSC_TRUE;
c->free_ij = PETSC_TRUE;
c->nonew = 0;
(*C)->ops->ptapnumeric = MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy;
/* set MatInfo */
afill = (PetscReal)ci[pn]/(ai[am]+pi[pm] + 1.e-5);
if (afill < 1.0) afill = 1.0;
c->maxnz = ci[pn];
c->nz = ci[pn];
(*C)->info.mallocs = nspacedouble;
(*C)->info.fill_ratio_given = fill;
(*C)->info.fill_ratio_needed = afill;
/* Clean up. */
ierr = MatRestoreSymbolicTranspose_SeqAIJ(P,&pti,&ptj);CHKERRQ(ierr);
#if defined(PETSC_USE_INFO)
if (ci[pn] != 0) {
ierr = PetscInfo3((*C),"Reallocs %D; Fill ratio: given %g needed %g.\n",nspacedouble,(double)fill,(double)afill);CHKERRQ(ierr);
ierr = PetscInfo1((*C),"Use MatPtAP(A,P,MatReuse,%g,&C) for best performance.\n",(double)afill);CHKERRQ(ierr);
} else {
ierr = PetscInfo((*C),"Empty matrix product\n");CHKERRQ(ierr);
}
#endif
PetscFunctionReturn(0);
}
static PetscErrorCode MatWrapML_SeqAIJ(ML_Operator *mlmat,MatReuse reuse,Mat *newmat)
{
struct ML_CSR_MSRdata *matdata = (struct ML_CSR_MSRdata *)mlmat->data;
PetscErrorCode ierr;
PetscInt m=mlmat->outvec_leng,n=mlmat->invec_leng,*nnz = PETSC_NULL,nz_max;
PetscInt *ml_cols=matdata->columns,*ml_rowptr=matdata->rowptr,*aj,i,j,k;
PetscScalar *ml_vals=matdata->values,*aa;
PetscFunctionBegin;
if (!mlmat->getrow) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"mlmat->getrow = NULL");
if (m != n){ /* ML Pmat and Rmat are in CSR format. Pass array pointers into SeqAIJ matrix */
if (reuse){
Mat_SeqAIJ *aij= (Mat_SeqAIJ*)(*newmat)->data;
aij->i = ml_rowptr;
aij->j = ml_cols;
aij->a = ml_vals;
} else {
/* sort ml_cols and ml_vals */
ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nnz);
for (i=0; i<m; i++) {
nnz[i] = ml_rowptr[i+1] - ml_rowptr[i];
}
aj = ml_cols; aa = ml_vals;
for (i=0; i<m; i++){
ierr = PetscSortIntWithScalarArray(nnz[i],aj,aa);CHKERRQ(ierr);
aj += nnz[i]; aa += nnz[i];
}
ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,m,n,ml_rowptr,ml_cols,ml_vals,newmat);CHKERRQ(ierr);
ierr = PetscFree(nnz);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
/* ML Amat is in MSR format. Copy its data into SeqAIJ matrix */
if (reuse) {
for (nz_max=0,i=0; i<m; i++) nz_max = PetscMax(nz_max,ml_cols[i+1] - ml_cols[i] + 1);
} else {
ierr = MatCreate(PETSC_COMM_SELF,newmat);CHKERRQ(ierr);
ierr = MatSetSizes(*newmat,m,n,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
ierr = MatSetType(*newmat,MATSEQAIJ);CHKERRQ(ierr);
ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nnz);
nz_max = 1;
for (i=0; i<m; i++) {
nnz[i] = ml_cols[i+1] - ml_cols[i] + 1;
if (nnz[i] > nz_max) nz_max = nnz[i];
}
ierr = MatSeqAIJSetPreallocation(*newmat,0,nnz);CHKERRQ(ierr);
}
ierr = PetscMalloc2(nz_max,PetscScalar,&aa,nz_max,PetscInt,&aj);CHKERRQ(ierr);
for (i=0; i<m; i++) {
PetscInt ncols;
k = 0;
/* diagonal entry */
aj[k] = i; aa[k++] = ml_vals[i];
/* off diagonal entries */
for (j=ml_cols[i]; j<ml_cols[i+1]; j++){
aj[k] = ml_cols[j]; aa[k++] = ml_vals[j];
}
ncols = ml_cols[i+1] - ml_cols[i] + 1;
/* sort aj and aa */
ierr = PetscSortIntWithScalarArray(ncols,aj,aa);CHKERRQ(ierr);
ierr = MatSetValues(*newmat,1,&i,ncols,aj,aa,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(*newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(*newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = PetscFree2(aa,aj);CHKERRQ(ierr);
ierr = PetscFree(nnz);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode MatConvert_MPIAIJ_ML(Mat A,MatType newtype,MatReuse scall,Mat *Aloc)
{
PetscErrorCode ierr;
Mat_MPIAIJ *mpimat=(Mat_MPIAIJ*)A->data;
Mat_SeqAIJ *mat,*a=(Mat_SeqAIJ*)(mpimat->A)->data,*b=(Mat_SeqAIJ*)(mpimat->B)->data;
PetscInt *ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
PetscScalar *aa=a->a,*ba=b->a,*ca;
PetscInt am=A->rmap->n,an=A->cmap->n,i,j,k;
PetscInt *ci,*cj,ncols;
PetscFunctionBegin;
if (am != an) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"A must have a square diagonal portion, am: %d != an: %d",am,an);
if (scall == MAT_INITIAL_MATRIX){
ierr = PetscMalloc((1+am)*sizeof(PetscInt),&ci);CHKERRQ(ierr);
ci[0] = 0;
for (i=0; i<am; i++){
ci[i+1] = ci[i] + (ai[i+1] - ai[i]) + (bi[i+1] - bi[i]);
}
ierr = PetscMalloc((1+ci[am])*sizeof(PetscInt),&cj);CHKERRQ(ierr);
ierr = PetscMalloc((1+ci[am])*sizeof(PetscScalar),&ca);CHKERRQ(ierr);
k = 0;
for (i=0; i<am; i++){
/* diagonal portion of A */
ncols = ai[i+1] - ai[i];
for (j=0; j<ncols; j++) {
cj[k] = *aj++;
ca[k++] = *aa++;
}
/* off-diagonal portion of A */
ncols = bi[i+1] - bi[i];
for (j=0; j<ncols; j++) {
cj[k] = an + (*bj); bj++;
ca[k++] = *ba++;
}
}
if (k != ci[am]) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"k: %d != ci[am]: %d",k,ci[am]);
/* put together the new matrix */
an = mpimat->A->cmap->n+mpimat->B->cmap->n;
ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,am,an,ci,cj,ca,Aloc);CHKERRQ(ierr);
/* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
/* Since these are PETSc arrays, change flags to free them as necessary. */
mat = (Mat_SeqAIJ*)(*Aloc)->data;
mat->free_a = PETSC_TRUE;
mat->free_ij = PETSC_TRUE;
mat->nonew = 0;
} else if (scall == MAT_REUSE_MATRIX){
mat=(Mat_SeqAIJ*)(*Aloc)->data;
ci = mat->i; cj = mat->j; ca = mat->a;
for (i=0; i<am; i++) {
/* diagonal portion of A */
ncols = ai[i+1] - ai[i];
for (j=0; j<ncols; j++) *ca++ = *aa++;
/* off-diagonal portion of A */
ncols = bi[i+1] - bi[i];
for (j=0; j<ncols; j++) *ca++ = *ba++;
}
} else SETERRQ1(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Invalid MatReuse %d",(int)scall);
PetscFunctionReturn(0);
}
PetscErrorCode MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy2(Mat A,Mat P,PetscReal fill,Mat *C)
{
PetscErrorCode ierr;
PetscFreeSpaceList free_space=PETSC_NULL,current_space=PETSC_NULL;
Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*p = (Mat_SeqAIJ*)P->data,*c;
PetscInt *pti,*ptj,*ptJ,*ai=a->i,*aj=a->j,*ajj,*pi=p->i,*pj=p->j,*pjj;
PetscInt *ci,*cj,*ptadenserow,*ptasparserow,*ptaj,nspacedouble=0;
PetscInt an=A->cmap->N,am=A->rmap->N,pn=P->cmap->N;
PetscInt i,j,k,ptnzi,arow,anzj,ptanzi,prow,pnzj,cnzi,nlnk,*lnk;
MatScalar *ca;
PetscBT lnkbt;
PetscFunctionBegin;
/* Get ij structure of P^T */
ierr = MatGetSymbolicTranspose_SeqAIJ(P,&pti,&ptj);CHKERRQ(ierr);
ptJ=ptj;
/* Allocate ci array, arrays for fill computation and */
/* free space for accumulating nonzero column info */
ierr = PetscMalloc((pn+1)*sizeof(PetscInt),&ci);CHKERRQ(ierr);
ci[0] = 0;
ierr = PetscMalloc((2*an+1)*sizeof(PetscInt),&ptadenserow);CHKERRQ(ierr);
ierr = PetscMemzero(ptadenserow,(2*an+1)*sizeof(PetscInt));CHKERRQ(ierr);
ptasparserow = ptadenserow + an;
/* create and initialize a linked list */
nlnk = pn+1;
ierr = PetscLLCreate(pn,pn,nlnk,lnk,lnkbt);CHKERRQ(ierr);
/* Set initial free space to be fill*nnz(A). */
/* This should be reasonable if sparsity of PtAP is similar to that of A. */
ierr = PetscFreeSpaceGet((PetscInt)(fill*ai[am]),&free_space);
current_space = free_space;
/* Determine symbolic info for each row of C: */
for (i=0;i<pn;i++) {
ptnzi = pti[i+1] - pti[i];
ptanzi = 0;
/* Determine symbolic row of PtA: */
for (j=0;j<ptnzi;j++) {
arow = *ptJ++;
anzj = ai[arow+1] - ai[arow];
ajj = aj + ai[arow];
for (k=0;k<anzj;k++) {
if (!ptadenserow[ajj[k]]) {
ptadenserow[ajj[k]] = -1;
ptasparserow[ptanzi++] = ajj[k];
}
}
}
/* Using symbolic info for row of PtA, determine symbolic info for row of C: */
ptaj = ptasparserow;
cnzi = 0;
for (j=0;j<ptanzi;j++) {
prow = *ptaj++;
pnzj = pi[prow+1] - pi[prow];
pjj = pj + pi[prow];
/* add non-zero cols of P into the sorted linked list lnk */
ierr = PetscLLAddSorted(pnzj,pjj,pn,nlnk,lnk,lnkbt);CHKERRQ(ierr);
cnzi += nlnk;
}
/* If free space is not available, make more free space */
/* Double the amount of total space in the list */
if (current_space->local_remaining<cnzi) {
ierr = PetscFreeSpaceGet(cnzi+current_space->total_array_size,¤t_space);CHKERRQ(ierr);
nspacedouble++;
}
/* Copy data into free space, and zero out denserows */
ierr = PetscLLClean(pn,pn,cnzi,lnk,current_space->array,lnkbt);CHKERRQ(ierr);
current_space->array += cnzi;
current_space->local_used += cnzi;
current_space->local_remaining -= cnzi;
for (j=0;j<ptanzi;j++) {
ptadenserow[ptasparserow[j]] = 0;
}
/* Aside: Perhaps we should save the pta info for the numerical factorization. */
/* For now, we will recompute what is needed. */
ci[i+1] = ci[i] + cnzi;
}
/* nnz is now stored in ci[ptm], column indices are in the list of free space */
/* Allocate space for cj, initialize cj, and */
/* destroy list of free space and other temporary array(s) */
ierr = PetscMalloc((ci[pn]+1)*sizeof(PetscInt),&cj);CHKERRQ(ierr);
ierr = PetscFreeSpaceContiguous(&free_space,cj);CHKERRQ(ierr);
ierr = PetscFree(ptadenserow);CHKERRQ(ierr);
ierr = PetscLLDestroy(lnk,lnkbt);CHKERRQ(ierr);
/* Allocate space for ca */
ierr = PetscMalloc((ci[pn]+1)*sizeof(MatScalar),&ca);CHKERRQ(ierr);
ierr = PetscMemzero(ca,(ci[pn]+1)*sizeof(MatScalar));CHKERRQ(ierr);
/* put together the new matrix */
ierr = MatCreateSeqAIJWithArrays(((PetscObject)A)->comm,pn,pn,ci,cj,ca,C);CHKERRQ(ierr);
(*C)->rmap->bs = P->cmap->bs;
(*C)->cmap->bs = P->cmap->bs;
PetscPrintf(PETSC_COMM_SELF,"************%s C.bs=%d,%d\n",__FUNCT__,(*C)->rmap->bs,(*C)->cmap->bs);
/* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
/* Since these are PETSc arrays, change flags to free them as necessary. */
c = (Mat_SeqAIJ *)((*C)->data);
c->free_a = PETSC_TRUE;
c->free_ij = PETSC_TRUE;
c->nonew = 0;
A->ops->ptapnumeric = MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy2; /* should use *C->ops until PtAP insterface is updated to double dispatch as MatMatMult() */
/* Clean up. */
ierr = MatRestoreSymbolicTranspose_SeqAIJ(P,&pti,&ptj);CHKERRQ(ierr);
#if defined(PETSC_USE_INFO)
if (ci[pn] != 0) {
PetscReal afill = ((PetscReal)ci[pn])/ai[am];
if (afill < 1.0) afill = 1.0;
ierr = PetscInfo3((*C),"Reallocs %D; Fill ratio: given %G needed %G.\n",nspacedouble,fill,afill);CHKERRQ(ierr);
ierr = PetscInfo1((*C),"Use MatPtAP(A,P,MatReuse,%G,&C) for best performance.\n",afill);CHKERRQ(ierr);
} else {
ierr = PetscInfo((*C),"Empty matrix product\n");CHKERRQ(ierr);
}
#endif
PetscFunctionReturn(0);
}
PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ_colorrart(Mat A,Mat R,PetscReal fill,Mat *C)
{
PetscErrorCode ierr;
Mat P;
PetscInt *rti,*rtj;
Mat_RARt *rart;
MatColoring coloring;
MatTransposeColoring matcoloring;
ISColoring iscoloring;
Mat Rt_dense,RARt_dense;
Mat_SeqAIJ *c;
PetscFunctionBegin;
/* create symbolic P=Rt */
ierr = MatGetSymbolicTranspose_SeqAIJ(R,&rti,&rtj);CHKERRQ(ierr);
ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,R->cmap->n,R->rmap->n,rti,rtj,NULL,&P);CHKERRQ(ierr);
/* get symbolic C=Pt*A*P */
ierr = MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy(A,P,fill,C);CHKERRQ(ierr);
ierr = MatSetBlockSizes(*C,PetscAbs(R->rmap->bs),PetscAbs(R->rmap->bs));CHKERRQ(ierr);
(*C)->ops->rartnumeric = MatRARtNumeric_SeqAIJ_SeqAIJ_colorrart;
/* create a supporting struct */
ierr = PetscNew(&rart);CHKERRQ(ierr);
c = (Mat_SeqAIJ*)(*C)->data;
c->rart = rart;
/* ------ Use coloring ---------- */
/* inode causes memory problem, don't know why */
if (c->inode.use) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MAT_USE_INODES is not supported. Use '-mat_no_inode'");
/* Create MatTransposeColoring from symbolic C=R*A*R^T */
ierr = MatColoringCreate(*C,&coloring);CHKERRQ(ierr);
ierr = MatColoringSetDistance(coloring,2);CHKERRQ(ierr);
ierr = MatColoringSetType(coloring,MATCOLORINGSL);CHKERRQ(ierr);
ierr = MatColoringSetFromOptions(coloring);CHKERRQ(ierr);
ierr = MatColoringApply(coloring,&iscoloring);CHKERRQ(ierr);
ierr = MatColoringDestroy(&coloring);CHKERRQ(ierr);
ierr = MatTransposeColoringCreate(*C,iscoloring,&matcoloring);CHKERRQ(ierr);
rart->matcoloring = matcoloring;
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
/* Create Rt_dense */
ierr = MatCreate(PETSC_COMM_SELF,&Rt_dense);CHKERRQ(ierr);
ierr = MatSetSizes(Rt_dense,A->cmap->n,matcoloring->ncolors,A->cmap->n,matcoloring->ncolors);CHKERRQ(ierr);
ierr = MatSetType(Rt_dense,MATSEQDENSE);CHKERRQ(ierr);
ierr = MatSeqDenseSetPreallocation(Rt_dense,NULL);CHKERRQ(ierr);
Rt_dense->assembled = PETSC_TRUE;
rart->Rt = Rt_dense;
/* Create RARt_dense = R*A*Rt_dense */
ierr = MatCreate(PETSC_COMM_SELF,&RARt_dense);CHKERRQ(ierr);
ierr = MatSetSizes(RARt_dense,(*C)->rmap->n,matcoloring->ncolors,(*C)->rmap->n,matcoloring->ncolors);CHKERRQ(ierr);
ierr = MatSetType(RARt_dense,MATSEQDENSE);CHKERRQ(ierr);
ierr = MatSeqDenseSetPreallocation(RARt_dense,NULL);CHKERRQ(ierr);
rart->RARt = RARt_dense;
/* Allocate work array to store columns of A*R^T used in MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqDense() */
ierr = PetscMalloc1(A->rmap->n*4,&rart->work);CHKERRQ(ierr);
rart->destroy = (*C)->ops->destroy;
(*C)->ops->destroy = MatDestroy_SeqAIJ_RARt;
/* clean up */
ierr = MatRestoreSymbolicTranspose_SeqAIJ(R,&rti,&rtj);CHKERRQ(ierr);
ierr = MatDestroy(&P);CHKERRQ(ierr);
#if defined(PETSC_USE_INFO)
{
PetscReal density= (PetscReal)(c->nz)/(RARt_dense->rmap->n*RARt_dense->cmap->n);
ierr = PetscInfo(*C,"C=R*(A*Rt) via coloring C - use sparse-dense inner products\n");CHKERRQ(ierr);
ierr = PetscInfo6(*C,"RARt_den %D %D; Rt %D %D (RARt->nz %D)/(m*ncolors)=%g\n",RARt_dense->rmap->n,RARt_dense->cmap->n,R->cmap->n,R->rmap->n,c->nz,density);CHKERRQ(ierr);
}
#endif
PetscFunctionReturn(0);
}
PetscErrorCode MatRARtSymbolic_SeqAIJ_SeqAIJ(Mat A,Mat R,PetscReal fill,Mat *C)
{
PetscErrorCode ierr;
Mat P;
PetscInt *rti,*rtj;
Mat_RARt *rart;
PetscContainer container;
MatTransposeColoring matcoloring;
ISColoring iscoloring;
Mat Rt_dense,RARt_dense;
PetscLogDouble GColor=0.0,MCCreate=0.0,MDenCreate=0.0,t0,tf,etime=0.0;
Mat_SeqAIJ *c;
PetscFunctionBegin;
ierr = PetscGetTime(&t0);CHKERRQ(ierr);
/* create symbolic P=Rt */
ierr = MatGetSymbolicTranspose_SeqAIJ(R,&rti,&rtj);CHKERRQ(ierr);
ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,R->cmap->n,R->rmap->n,rti,rtj,PETSC_NULL,&P);CHKERRQ(ierr);
/* get symbolic C=Pt*A*P */
ierr = MatPtAPSymbolic_SeqAIJ_SeqAIJ(A,P,fill,C);CHKERRQ(ierr);
(*C)->rmap->bs = R->rmap->bs;
(*C)->cmap->bs = R->rmap->bs;
/* create a supporting struct */
ierr = PetscNew(Mat_RARt,&rart);CHKERRQ(ierr);
/* attach the supporting struct to C */
ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr);
ierr = PetscContainerSetPointer(container,rart);CHKERRQ(ierr);
ierr = PetscContainerSetUserDestroy(container,PetscContainerDestroy_Mat_RARt);CHKERRQ(ierr);
ierr = PetscObjectCompose((PetscObject)(*C),"Mat_RARt",(PetscObject)container);CHKERRQ(ierr);
ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
ierr = PetscGetTime(&tf);CHKERRQ(ierr);
etime += tf - t0;
/* Create MatTransposeColoring from symbolic C=R*A*R^T */
c=(Mat_SeqAIJ*)(*C)->data;
ierr = PetscGetTime(&t0);CHKERRQ(ierr);
ierr = MatGetColoring(*C,MATCOLORINGLF,&iscoloring);CHKERRQ(ierr);
ierr = PetscGetTime(&tf);CHKERRQ(ierr);
GColor += tf - t0;
ierr = PetscGetTime(&t0);CHKERRQ(ierr);
ierr = MatTransposeColoringCreate(*C,iscoloring,&matcoloring);CHKERRQ(ierr);
rart->matcoloring = matcoloring;
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
ierr = PetscGetTime(&tf);CHKERRQ(ierr);
MCCreate += tf - t0;
ierr = PetscGetTime(&t0);CHKERRQ(ierr);
/* Create Rt_dense */
ierr = MatCreate(PETSC_COMM_SELF,&Rt_dense);CHKERRQ(ierr);
ierr = MatSetSizes(Rt_dense,A->cmap->n,matcoloring->ncolors,A->cmap->n,matcoloring->ncolors);CHKERRQ(ierr);
ierr = MatSetType(Rt_dense,MATSEQDENSE);CHKERRQ(ierr);
ierr = MatSeqDenseSetPreallocation(Rt_dense,PETSC_NULL);CHKERRQ(ierr);
Rt_dense->assembled = PETSC_TRUE;
rart->Rt = Rt_dense;
/* Create RARt_dense = R*A*Rt_dense */
ierr = MatCreate(PETSC_COMM_SELF,&RARt_dense);CHKERRQ(ierr);
ierr = MatSetSizes(RARt_dense,(*C)->rmap->n,matcoloring->ncolors,(*C)->rmap->n,matcoloring->ncolors);CHKERRQ(ierr);
ierr = MatSetType(RARt_dense,MATSEQDENSE);CHKERRQ(ierr);
ierr = MatSeqDenseSetPreallocation(RARt_dense,PETSC_NULL);CHKERRQ(ierr);
rart->RARt = RARt_dense;
/* Allocate work array to store columns of A*R^T used in MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqDense() */
ierr = PetscMalloc(A->rmap->n*4*sizeof(PetscScalar),&rart->work);CHKERRQ(ierr);
ierr = PetscGetTime(&tf);CHKERRQ(ierr);
MDenCreate += tf - t0;
rart->destroy = (*C)->ops->destroy;
(*C)->ops->destroy = MatDestroy_SeqAIJ_RARt;
/* clean up */
ierr = MatRestoreSymbolicTranspose_SeqAIJ(R,&rti,&rtj);CHKERRQ(ierr);
ierr = MatDestroy(&P);CHKERRQ(ierr);
#if defined(PETSC_USE_INFO)
{
PetscReal density= (PetscReal)(c->nz)/(RARt_dense->rmap->n*RARt_dense->cmap->n);
ierr = PetscInfo6(*C,"RARt_den %D %D; Rt_den %D %D, (RARt->nz %D)/(m*ncolors)=%g\n",RARt_dense->rmap->n,RARt_dense->cmap->n,Rt_dense->rmap->n,Rt_dense->cmap->n,c->nz,density);CHKERRQ(ierr);
ierr = PetscInfo5(*C,"Sym = GetColor %g + MColorCreate %g + MDenCreate %g + other %g = %g\n",GColor,MCCreate,MDenCreate,etime,GColor+MCCreate+MDenCreate+etime);CHKERRQ(ierr);
}
#endif
PetscFunctionReturn(0);
}
PetscErrorCode MatApplyPAPt_Symbolic_SeqAIJ_SeqAIJ(Mat A,Mat P,Mat *C)
{
/* Note: This code is virtually identical to that of MatApplyPtAP_SeqAIJ_Symbolic */
/* and MatMatMult_SeqAIJ_SeqAIJ_Symbolic. Perhaps they could be merged nicely. */
PetscErrorCode ierr;
PetscFreeSpaceList free_space=PETSC_NULL,current_space=PETSC_NULL;
Mat_SeqAIJ *a=(Mat_SeqAIJ*)A->data,*p=(Mat_SeqAIJ*)P->data,*c;
PetscInt *ai=a->i,*aj=a->j,*ajj,*pi=p->i,*pj=p->j,*pti,*ptj,*ptjj;
PetscInt *ci,*cj,*paj,*padenserow,*pasparserow,*denserow,*sparserow;
PetscInt an=A->cmap->N,am=A->rmap->N,pn=P->cmap->N,pm=P->rmap->N;
PetscInt i,j,k,pnzi,arow,anzj,panzi,ptrow,ptnzj,cnzi;
MatScalar *ca;
PetscFunctionBegin;
/* some error checking which could be moved into interface layer */
if (pn!=am) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrix dimensions are incompatible, %D != %D",pn,am);
if (am!=an) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrix 'A' must be square, %D != %D",am, an);
/* Set up timers */
ierr = PetscLogEventBegin(MAT_Applypapt_symbolic,A,P,0,0);CHKERRQ(ierr);
/* Create ij structure of P^T */
ierr = MatGetSymbolicTranspose_SeqAIJ(P,&pti,&ptj);CHKERRQ(ierr);
/* Allocate ci array, arrays for fill computation and */
/* free space for accumulating nonzero column info */
ierr = PetscMalloc(((pm+1)*1)*sizeof(PetscInt),&ci);CHKERRQ(ierr);
ci[0] = 0;
ierr = PetscMalloc4(an,PetscInt,&padenserow,an,PetscInt,&pasparserow,pm,PetscInt,&denserow,pm,PetscInt,&sparserow);CHKERRQ(ierr);
ierr = PetscMemzero(padenserow,an*sizeof(PetscInt));CHKERRQ(ierr);
ierr = PetscMemzero(pasparserow,an*sizeof(PetscInt));CHKERRQ(ierr);
ierr = PetscMemzero(denserow,pm*sizeof(PetscInt));CHKERRQ(ierr);
ierr = PetscMemzero(sparserow,pm*sizeof(PetscInt));CHKERRQ(ierr);
/* Set initial free space to be nnz(A) scaled by aspect ratio of Pt. */
/* This should be reasonable if sparsity of PAPt is similar to that of A. */
ierr = PetscFreeSpaceGet((ai[am]/pn)*pm,&free_space);CHKERRQ(ierr);
current_space = free_space;
/* Determine fill for each row of C: */
for (i=0;i<pm;i++) {
pnzi = pi[i+1] - pi[i];
panzi = 0;
/* Get symbolic sparse row of PA: */
for (j=0;j<pnzi;j++) {
arow = *pj++;
anzj = ai[arow+1] - ai[arow];
ajj = aj + ai[arow];
for (k=0;k<anzj;k++) {
if (!padenserow[ajj[k]]) {
padenserow[ajj[k]] = -1;
pasparserow[panzi++] = ajj[k];
}
}
}
/* Using symbolic row of PA, determine symbolic row of C: */
paj = pasparserow;
cnzi = 0;
for (j=0;j<panzi;j++) {
ptrow = *paj++;
ptnzj = pti[ptrow+1] - pti[ptrow];
ptjj = ptj + pti[ptrow];
for (k=0;k<ptnzj;k++) {
if (!denserow[ptjj[k]]) {
denserow[ptjj[k]] = -1;
sparserow[cnzi++] = ptjj[k];
}
}
}
/* sort sparse representation */
ierr = PetscSortInt(cnzi,sparserow);CHKERRQ(ierr);
/* If free space is not available, make more free space */
/* Double the amount of total space in the list */
if (current_space->local_remaining<cnzi) {
ierr = PetscFreeSpaceGet(cnzi+current_space->total_array_size,¤t_space);CHKERRQ(ierr);
}
/* Copy data into free space, and zero out dense row */
ierr = PetscMemcpy(current_space->array,sparserow,cnzi*sizeof(PetscInt));CHKERRQ(ierr);
current_space->array += cnzi;
current_space->local_used += cnzi;
current_space->local_remaining -= cnzi;
for (j=0;j<panzi;j++) {
padenserow[pasparserow[j]] = 0;
}
for (j=0;j<cnzi;j++) {
denserow[sparserow[j]] = 0;
}
ci[i+1] = ci[i] + cnzi;
}
/* column indices are in the list of free space */
/* Allocate space for cj, initialize cj, and */
/* destroy list of free space and other temporary array(s) */
ierr = PetscMalloc((ci[pm]+1)*sizeof(PetscInt),&cj);CHKERRQ(ierr);
ierr = PetscFreeSpaceContiguous(&free_space,cj);CHKERRQ(ierr);
ierr = PetscFree4(padenserow,pasparserow,denserow,sparserow);CHKERRQ(ierr);
/* Allocate space for ca */
ierr = PetscMalloc((ci[pm]+1)*sizeof(MatScalar),&ca);CHKERRQ(ierr);
ierr = PetscMemzero(ca,(ci[pm]+1)*sizeof(MatScalar));CHKERRQ(ierr);
/* put together the new matrix */
ierr = MatCreateSeqAIJWithArrays(((PetscObject)A)->comm,pm,pm,ci,cj,ca,C);CHKERRQ(ierr);
(*C)->rmap->bs = P->cmap->bs;
(*C)->cmap->bs = P->cmap->bs;
/* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
/* Since these are PETSc arrays, change flags to free them as necessary. */
c = (Mat_SeqAIJ *)((*C)->data);
c->free_a = PETSC_TRUE;
c->free_ij = PETSC_TRUE;
c->nonew = 0;
/* Clean up. */
ierr = MatRestoreSymbolicTranspose_SeqAIJ(P,&pti,&ptj);CHKERRQ(ierr);
ierr = PetscLogEventEnd(MAT_Applypapt_symbolic,A,P,0,0);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
