/* GAMG geometric-algebric multigrid PC - Mark Adams 2011 */ #include "petsc-private/matimpl.h" #include <../src/ksp/pc/impls/gamg/gamg.h> /*I "petscpc.h" I*/ #include #if defined PETSC_GAMG_USE_LOG PetscLogEvent petsc_gamg_setup_events[NUM_SET]; #endif #if defined PETSC_USE_LOG PetscLogEvent PC_GAMGGgraph_AGG; PetscLogEvent PC_GAMGGgraph_GEO; PetscLogEvent PC_GAMGCoarsen_AGG; PetscLogEvent PC_GAMGCoarsen_GEO; PetscLogEvent PC_GAMGProlongator_AGG; PetscLogEvent PC_GAMGProlongator_GEO; PetscLogEvent PC_GAMGOptprol_AGG; PetscLogEvent PC_GAMGKKTProl_AGG; #endif #define GAMG_MAXLEVELS 30 /* #define GAMG_STAGES */ #if (defined PETSC_GAMG_USE_LOG && defined GAMG_STAGES) static PetscLogStage gamg_stages[GAMG_MAXLEVELS]; #endif static PetscFList GAMGList = 0; /* ----------------------------------------------------------------------------- */ #undef __FUNCT__ #define __FUNCT__ "PCReset_GAMG" PetscErrorCode PCReset_GAMG(PC pc) { PetscErrorCode ierr; PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; if ( pc_gamg->data ) { /* this should not happen, cleaned up in SetUp */ PetscPrintf(((PetscObject)pc)->comm,"***[%d]%s this should not happen, cleaned up in SetUp\n",0,__FUNCT__); ierr = PetscFree( pc_gamg->data );CHKERRQ(ierr); } pc_gamg->data = PETSC_NULL; pc_gamg->data_sz = 0; if ( pc_gamg->orig_data ) { ierr = PetscFree( pc_gamg->orig_data );CHKERRQ(ierr); } PetscFunctionReturn(0); } /* private 2x2 Mat Nest for Stokes */ typedef struct{ Mat A11,A21,A12,Amat; IS prim_is,constr_is; }GAMGKKTMat; #undef __FUNCT__ #define __FUNCT__ "GAMGKKTMatCreate" static PetscErrorCode GAMGKKTMatCreate( Mat A, PetscBool iskkt, GAMGKKTMat *out ) { PetscFunctionBegin; out->Amat = A; if ( iskkt ){ PetscErrorCode ierr; IS is_constraint, is_prime; PetscInt nmin,nmax; ierr = MatGetOwnershipRange( A, &nmin, &nmax );CHKERRQ(ierr); ierr = MatFindZeroDiagonals( A, &is_constraint );CHKERRQ(ierr); ierr = ISComplement( is_constraint, nmin, nmax, &is_prime );CHKERRQ(ierr); out->prim_is = is_prime; out->constr_is = is_constraint; ierr = MatGetSubMatrix( A, is_prime, is_prime, MAT_INITIAL_MATRIX, &out->A11);CHKERRQ(ierr); ierr = MatGetSubMatrix( A, is_prime, is_constraint, MAT_INITIAL_MATRIX, &out->A12);CHKERRQ(ierr); ierr = MatGetSubMatrix( A, is_constraint, is_prime, MAT_INITIAL_MATRIX, &out->A21);CHKERRQ(ierr); } else { out->A11 = A; out->A21 = PETSC_NULL; out->A12 = PETSC_NULL; out->prim_is = PETSC_NULL; out->constr_is = PETSC_NULL; } PetscFunctionReturn(0); } #undef __FUNCT__ #define __FUNCT__ "GAMGKKTMatDestroy" static PetscErrorCode GAMGKKTMatDestroy( GAMGKKTMat *mat ) { PetscErrorCode ierr; PetscFunctionBegin; if ( mat->A11 && mat->A11 != mat->Amat ) { ierr = MatDestroy( &mat->A11 );CHKERRQ(ierr); } ierr = MatDestroy( &mat->A21 );CHKERRQ(ierr); ierr = MatDestroy( &mat->A12 );CHKERRQ(ierr); ierr = ISDestroy( &mat->prim_is );CHKERRQ(ierr); ierr = ISDestroy( &mat->constr_is );CHKERRQ(ierr); PetscFunctionReturn(0); } /* -------------------------------------------------------------------------- */ /* createLevel: create coarse op with RAP. repartition and/or reduce number of active processors. Input Parameter: . pc - parameters + side effect: coarse data in 'pc_gamg->data' and 'pc_gamg->data_sz' are changed via repartitioning/reduction. . Amat_fine - matrix on this fine (k) level . cr_bs - coarse block size . isLast - . stokes - In/Output Parameter: . a_P_inout - prolongation operator to the next level (k-->k-1) . a_nactive_proc - number of active procs Output Parameter: . a_Amat_crs - coarse matrix that is created (k-1) */ #undef __FUNCT__ #define __FUNCT__ "createLevel" static PetscErrorCode createLevel( const PC pc, const Mat Amat_fine, const PetscInt cr_bs, const PetscBool isLast, const PetscBool stokes, Mat *a_P_inout, Mat *a_Amat_crs, PetscMPIInt *a_nactive_proc ) { PetscErrorCode ierr; PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; const PetscBool repart = pc_gamg->repart; const PetscInt min_eq_proc = pc_gamg->min_eq_proc, coarse_max = pc_gamg->coarse_eq_limit; Mat Cmat,Pold=*a_P_inout; MPI_Comm wcomm = ((PetscObject)Amat_fine)->comm; PetscMPIInt mype,npe,new_npe,nactive=*a_nactive_proc; PetscInt ncrs_eq,ncrs_prim,f_bs; PetscFunctionBegin; ierr = MPI_Comm_rank( wcomm, &mype );CHKERRQ(ierr); ierr = MPI_Comm_size( wcomm, &npe );CHKERRQ(ierr); ierr = MatGetBlockSize( Amat_fine, &f_bs );CHKERRQ(ierr); /* RAP */ ierr = MatPtAP( Amat_fine, Pold, MAT_INITIAL_MATRIX, 2.0, &Cmat );CHKERRQ(ierr); /* set 'ncrs_prim' (nodes), 'ncrs_eq' (equations)*/ ncrs_prim = pc_gamg->data_sz/pc_gamg->data_cell_cols/pc_gamg->data_cell_rows; assert(pc_gamg->data_sz%(pc_gamg->data_cell_cols*pc_gamg->data_cell_rows)==0); ierr = MatGetLocalSize( Cmat, &ncrs_eq, PETSC_NULL );CHKERRQ(ierr); /* get number of PEs to make active 'new_npe', reduce, can be any integer 1-P */ { PetscInt ncrs_eq_glob; ierr = MatGetSize( Cmat, &ncrs_eq_glob, PETSC_NULL );CHKERRQ(ierr); new_npe = (PetscMPIInt)((float)ncrs_eq_glob/(float)min_eq_proc + 0.5); /* hardwire min. number of eq/proc */ if ( new_npe == 0 || ncrs_eq_glob < coarse_max ) new_npe = 1; else if ( new_npe >= nactive ) new_npe = nactive; /* no change, rare */ if ( isLast ) new_npe = 1; } if ( !repart && new_npe==nactive ) { *a_Amat_crs = Cmat; /* output - no repartitioning or reduction - could bail here */ } else { const PetscInt *idx,ndata_rows=pc_gamg->data_cell_rows,ndata_cols=pc_gamg->data_cell_cols,node_data_sz=ndata_rows*ndata_cols; PetscInt *counts,*newproc_idx,ii,jj,kk,strideNew,*tidx,ncrs_prim_new,ncrs_eq_new,nloc_old; IS is_eq_newproc,is_eq_newproc_prim,is_eq_num,is_eq_num_prim,isscat,new_eq_indices; VecScatter vecscat; PetscScalar *array; Vec src_crd, dest_crd; nloc_old = ncrs_eq/cr_bs; assert(ncrs_eq%cr_bs==0); #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET12],0,0,0,0);CHKERRQ(ierr); #endif /* make 'is_eq_newproc' */ ierr = PetscMalloc( npe*sizeof(PetscInt), &counts );CHKERRQ(ierr); if ( repart && !stokes ) { /* Repartition Cmat_{k} and move colums of P^{k}_{k-1} and coordinates of primal part accordingly */ Mat adj; if (pc_gamg->verbose>0) { if (pc_gamg->verbose==1) PetscPrintf(wcomm,"\t[%d]%s repartition: npe (active): %d --> %d, neq = %d\n",mype,__FUNCT__,*a_nactive_proc,new_npe,ncrs_eq); else { PetscInt n; ierr = MPI_Allreduce( &ncrs_eq, &n, 1, MPIU_INT, MPI_SUM, wcomm );CHKERRQ(ierr); PetscPrintf(wcomm,"\t[%d]%s repartition: npe (active): %d --> %d, neq = %d\n",mype,__FUNCT__,*a_nactive_proc,new_npe,n); } } /* get 'adj' */ if ( cr_bs == 1 ) { ierr = MatConvert( Cmat, MATMPIADJ, MAT_INITIAL_MATRIX, &adj );CHKERRQ(ierr); } else{ /* make a scalar matrix to partition (no Stokes here) */ Mat tMat; PetscInt Istart_crs,Iend_crs,ncols,jj,Ii; const PetscScalar *vals; const PetscInt *idx; PetscInt *d_nnz, *o_nnz, M, N; static PetscInt llev = 0; ierr = PetscMalloc( ncrs_prim*sizeof(PetscInt), &d_nnz );CHKERRQ(ierr); ierr = PetscMalloc( ncrs_prim*sizeof(PetscInt), &o_nnz );CHKERRQ(ierr); ierr = MatGetOwnershipRange( Cmat, &Istart_crs, &Iend_crs );CHKERRQ(ierr); ierr = MatGetSize( Cmat, &M, &N );CHKERRQ(ierr); for ( Ii = Istart_crs, jj = 0 ; Ii < Iend_crs ; Ii += cr_bs, jj++ ) { ierr = MatGetRow(Cmat,Ii,&ncols,0,0);CHKERRQ(ierr); d_nnz[jj] = ncols/cr_bs; o_nnz[jj] = ncols/cr_bs; ierr = MatRestoreRow(Cmat,Ii,&ncols,0,0);CHKERRQ(ierr); if ( d_nnz[jj] > ncrs_prim ) d_nnz[jj] = ncrs_prim; if ( o_nnz[jj] > (M/cr_bs-ncrs_prim) ) o_nnz[jj] = M/cr_bs-ncrs_prim; } ierr = MatCreate( wcomm, &tMat );CHKERRQ(ierr); ierr = MatSetSizes( tMat, ncrs_prim, ncrs_prim, PETSC_DETERMINE, PETSC_DETERMINE ); CHKERRQ(ierr); ierr = MatSetType(tMat,MATAIJ);CHKERRQ(ierr); ierr = MatSeqAIJSetPreallocation(tMat,0,d_nnz);CHKERRQ(ierr); ierr = MatMPIAIJSetPreallocation(tMat,0,d_nnz,0,o_nnz);CHKERRQ(ierr); ierr = PetscFree( d_nnz );CHKERRQ(ierr); ierr = PetscFree( o_nnz );CHKERRQ(ierr); for ( ii = Istart_crs; ii < Iend_crs; ii++ ) { PetscInt dest_row = ii/cr_bs; ierr = MatGetRow(Cmat,ii,&ncols,&idx,&vals);CHKERRQ(ierr); for ( jj = 0 ; jj < ncols ; jj++ ){ PetscInt dest_col = idx[jj]/cr_bs; PetscScalar v = 1.0; ierr = MatSetValues(tMat,1,&dest_row,1,&dest_col,&v,ADD_VALUES);CHKERRQ(ierr); } ierr = MatRestoreRow(Cmat,ii,&ncols,&idx,&vals);CHKERRQ(ierr); } ierr = MatAssemblyBegin(tMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(tMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); if ( llev++ == -1 ) { PetscViewer viewer; char fname[32]; ierr = PetscSNPrintf(fname,sizeof(fname),"part_mat_%D.mat",llev);CHKERRQ(ierr); PetscViewerBinaryOpen(wcomm,fname,FILE_MODE_WRITE,&viewer); ierr = MatView( tMat, viewer );CHKERRQ(ierr); ierr = PetscViewerDestroy( &viewer ); } ierr = MatConvert( tMat, MATMPIADJ, MAT_INITIAL_MATRIX, &adj );CHKERRQ(ierr); ierr = MatDestroy( &tMat );CHKERRQ(ierr); } /* create 'adj' */ { /* partition: get newproc_idx */ char prefix[256]; const char *pcpre; const PetscInt *is_idx; MatPartitioning mpart; IS proc_is; PetscInt targetPE; ierr = MatPartitioningCreate( wcomm, &mpart );CHKERRQ(ierr); ierr = MatPartitioningSetAdjacency( mpart, adj );CHKERRQ(ierr); ierr = PCGetOptionsPrefix( pc, &pcpre );CHKERRQ(ierr); ierr = PetscSNPrintf(prefix,sizeof(prefix),"%spc_gamg_",pcpre?pcpre:"");CHKERRQ(ierr); ierr = PetscObjectSetOptionsPrefix((PetscObject)mpart,prefix);CHKERRQ(ierr); ierr = MatPartitioningSetFromOptions( mpart );CHKERRQ(ierr); ierr = MatPartitioningSetNParts( mpart, new_npe );CHKERRQ(ierr); ierr = MatPartitioningApply( mpart, &proc_is );CHKERRQ(ierr); ierr = MatPartitioningDestroy( &mpart );CHKERRQ(ierr); /* collect IS info */ ierr = PetscMalloc( ncrs_eq*sizeof(PetscInt), &newproc_idx );CHKERRQ(ierr); ierr = ISGetIndices( proc_is, &is_idx );CHKERRQ(ierr); targetPE = 1; /* bring to "front" of machine */ /*targetPE = npe/new_npe;*/ /* spread partitioning across machine */ for ( kk = jj = 0 ; kk < nloc_old ; kk++ ){ for ( ii = 0 ; ii < cr_bs ; ii++, jj++ ){ newproc_idx[jj] = is_idx[kk] * targetPE; /* distribution */ } } ierr = ISRestoreIndices( proc_is, &is_idx );CHKERRQ(ierr); ierr = ISDestroy( &proc_is );CHKERRQ(ierr); } ierr = MatDestroy( &adj );CHKERRQ(ierr); ierr = ISCreateGeneral( wcomm, ncrs_eq, newproc_idx, PETSC_COPY_VALUES, &is_eq_newproc ); CHKERRQ(ierr); if ( newproc_idx != 0 ) { ierr = PetscFree( newproc_idx );CHKERRQ(ierr); } } /* repartitioning */ else { /* simple aggreagtion of parts -- 'is_eq_newproc' */ PetscInt rfactor,targetPE; /* find factor */ if ( new_npe == 1 ) rfactor = npe; /* easy */ else { PetscReal best_fact = 0.; jj = -1; for ( kk = 1 ; kk <= npe ; kk++ ){ if ( npe%kk==0 ) { /* a candidate */ PetscReal nactpe = (PetscReal)npe/(PetscReal)kk, fact = nactpe/(PetscReal)new_npe; if (fact > 1.0) fact = 1./fact; /* keep fact < 1 */ if ( fact > best_fact ) { best_fact = fact; jj = kk; } } } if ( jj != -1 ) rfactor = jj; else rfactor = 1; /* does this happen .. a prime */ } new_npe = npe/rfactor; if ( new_npe==nactive ) { *a_Amat_crs = Cmat; /* output - no repartitioning or reduction, bail out because nested here */ ierr = PetscFree( counts );CHKERRQ(ierr); if (pc_gamg->verbose>0){ PetscPrintf(wcomm,"\t[%d]%s aggregate processors noop: new_npe=%d, neq(loc)=%d\n",mype,__FUNCT__,new_npe,ncrs_eq); } PetscFunctionReturn(0); } if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s number of equations (loc) %d with simple aggregation\n",mype,__FUNCT__,ncrs_eq); targetPE = mype/rfactor; ierr = ISCreateStride( wcomm, ncrs_eq, targetPE, 0, &is_eq_newproc );CHKERRQ(ierr); if ( stokes ) { ierr = ISCreateStride( wcomm, ncrs_prim*cr_bs, targetPE, 0, &is_eq_newproc_prim );CHKERRQ(ierr); } } /* end simple 'is_eq_newproc' */ /* Create an index set from the is_eq_newproc index set to indicate the mapping TO */ ierr = ISPartitioningToNumbering( is_eq_newproc, &is_eq_num );CHKERRQ(ierr); if ( stokes ) { ierr = ISPartitioningToNumbering( is_eq_newproc_prim, &is_eq_num_prim );CHKERRQ(ierr); } else is_eq_num_prim = is_eq_num; /* Determine how many equations/vertices are assigned to each processor */ ierr = ISPartitioningCount( is_eq_newproc, npe, counts );CHKERRQ(ierr); ncrs_eq_new = counts[mype]; ierr = ISDestroy( &is_eq_newproc );CHKERRQ(ierr); if ( stokes ) { ierr = ISPartitioningCount( is_eq_newproc_prim, npe, counts );CHKERRQ(ierr); ierr = ISDestroy( &is_eq_newproc_prim );CHKERRQ(ierr); ncrs_prim_new = counts[mype]/cr_bs; /* nodes */ } else ncrs_prim_new = ncrs_eq_new/cr_bs; /* eqs */ ierr = PetscFree( counts );CHKERRQ(ierr); #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET12],0,0,0,0);CHKERRQ(ierr); #endif /* move data (for primal equations only) */ /* Create a vector to contain the newly ordered element information */ ierr = VecCreate( wcomm, &dest_crd ); ierr = VecSetSizes( dest_crd, node_data_sz*ncrs_prim_new, PETSC_DECIDE );CHKERRQ(ierr); ierr = VecSetFromOptions( dest_crd );CHKERRQ(ierr); /* this is needed! */ /* There are 'ndata_rows*ndata_cols' data items per node, (one can think of the vectors of having a block size of ...). Note, ISs are expanded into equation space by 'cr_bs'. */ ierr = PetscMalloc( (ncrs_prim*node_data_sz)*sizeof(PetscInt), &tidx );CHKERRQ(ierr); ierr = ISGetIndices( is_eq_num_prim, &idx );CHKERRQ(ierr); for (ii=0,jj=0; iidata_cell_rows; for ( ii=0 ; iidata[ix]; ierr = VecSetValues( src_crd, 1, &jx, &tt, INSERT_VALUES );CHKERRQ(ierr); } } } ierr = VecAssemblyBegin(src_crd);CHKERRQ(ierr); ierr = VecAssemblyEnd(src_crd);CHKERRQ(ierr); /* Scatter the element vertex information (still in the original vertex ordering) to the correct processor */ ierr = VecScatterCreate( src_crd, PETSC_NULL, dest_crd, isscat, &vecscat); CHKERRQ(ierr); ierr = ISDestroy( &isscat );CHKERRQ(ierr); ierr = VecScatterBegin(vecscat,src_crd,dest_crd,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); ierr = VecScatterEnd(vecscat,src_crd,dest_crd,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); ierr = VecScatterDestroy( &vecscat );CHKERRQ(ierr); ierr = VecDestroy( &src_crd );CHKERRQ(ierr); /* Put the element vertex data into a new allocation of the gdata->ele */ ierr = PetscFree( pc_gamg->data );CHKERRQ(ierr); ierr = PetscMalloc( node_data_sz*ncrs_prim_new*sizeof(PetscReal), &pc_gamg->data );CHKERRQ(ierr); pc_gamg->data_sz = node_data_sz*ncrs_prim_new; strideNew = ncrs_prim_new*ndata_rows; ierr = VecGetArray( dest_crd, &array );CHKERRQ(ierr); for ( jj=0; jjdata[ix] = PetscRealPart(array[jx]); } } } ierr = VecRestoreArray( dest_crd, &array );CHKERRQ(ierr); ierr = VecDestroy( &dest_crd );CHKERRQ(ierr); /* move A and P (columns) with new layout */ #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET13],0,0,0,0);CHKERRQ(ierr); #endif /* Invert for MatGetSubMatrix */ ierr = ISInvertPermutation( is_eq_num, ncrs_eq_new, &new_eq_indices );CHKERRQ(ierr); ierr = ISSort( new_eq_indices );CHKERRQ(ierr); /* is this needed? */ ierr = ISSetBlockSize( new_eq_indices, cr_bs );CHKERRQ(ierr); if (is_eq_num != is_eq_num_prim) { ierr = ISDestroy( &is_eq_num_prim );CHKERRQ(ierr); /* could be same as 'is_eq_num' */ } ierr = ISDestroy( &is_eq_num );CHKERRQ(ierr); #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET13],0,0,0,0);CHKERRQ(ierr); ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET14],0,0,0,0);CHKERRQ(ierr); #endif /* 'a_Amat_crs' output */ { Mat mat; ierr = MatGetSubMatrix( Cmat, new_eq_indices, new_eq_indices, MAT_INITIAL_MATRIX, &mat ); CHKERRQ(ierr); *a_Amat_crs = mat; if (!PETSC_TRUE){ PetscInt cbs, rbs; ierr = MatGetBlockSizes( Cmat, &rbs, &cbs );CHKERRQ(ierr); PetscPrintf(MPI_COMM_SELF,"[%d]%s Old Mat rbs=%d cbs=%d\n",mype,__FUNCT__,rbs,cbs); ierr = MatGetBlockSizes( mat, &rbs, &cbs );CHKERRQ(ierr); PetscPrintf(MPI_COMM_SELF,"[%d]%s New Mat rbs=%d cbs=%d cr_bs=%d\n",mype,__FUNCT__,rbs,cbs,cr_bs); } } ierr = MatDestroy( &Cmat );CHKERRQ(ierr); #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET14],0,0,0,0);CHKERRQ(ierr); #endif /* prolongator */ { IS findices; PetscInt Istart,Iend; Mat Pnew; ierr = MatGetOwnershipRange( Pold, &Istart, &Iend );CHKERRQ(ierr); #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET15],0,0,0,0);CHKERRQ(ierr); #endif ierr = ISCreateStride(wcomm,Iend-Istart,Istart,1,&findices);CHKERRQ(ierr); ierr = ISSetBlockSize(findices,f_bs);CHKERRQ(ierr); ierr = MatGetSubMatrix( Pold, findices, new_eq_indices, MAT_INITIAL_MATRIX, &Pnew ); CHKERRQ(ierr); ierr = ISDestroy( &findices );CHKERRQ(ierr); if (!PETSC_TRUE){ PetscInt cbs, rbs; ierr = MatGetBlockSizes( Pold, &rbs, &cbs );CHKERRQ(ierr); PetscPrintf(MPI_COMM_SELF,"[%d]%s Pold rbs=%d cbs=%d\n",mype,__FUNCT__,rbs,cbs); ierr = MatGetBlockSizes( Pnew, &rbs, &cbs );CHKERRQ(ierr); PetscPrintf(MPI_COMM_SELF,"[%d]%s Pnew rbs=%d cbs=%d\n",mype,__FUNCT__,rbs,cbs); } #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET15],0,0,0,0);CHKERRQ(ierr); #endif ierr = MatDestroy( a_P_inout );CHKERRQ(ierr); /* output - repartitioned */ *a_P_inout = Pnew; } ierr = ISDestroy( &new_eq_indices );CHKERRQ(ierr); *a_nactive_proc = new_npe; /* output */ } /* outout matrix data */ if ( !PETSC_TRUE ) { PetscViewer viewer; char fname[32]; static int llev=0; Cmat = *a_Amat_crs; if (llev==0) { sprintf(fname,"Cmat_%d.m",llev++); PetscViewerASCIIOpen(wcomm,fname,&viewer); ierr = PetscViewerSetFormat( viewer, PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); ierr = MatView(Amat_fine, viewer );CHKERRQ(ierr); ierr = PetscViewerDestroy( &viewer ); } sprintf(fname,"Cmat_%d.m",llev++); PetscViewerASCIIOpen(wcomm,fname,&viewer); ierr = PetscViewerSetFormat( viewer, PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); ierr = MatView(Cmat, viewer );CHKERRQ(ierr); ierr = PetscViewerDestroy( &viewer ); } PetscFunctionReturn(0); } /* -------------------------------------------------------------------------- */ /* PCSetUp_GAMG - Prepares for the use of the GAMG preconditioner by setting data structures and options. Input Parameter: . pc - the preconditioner context Application Interface Routine: PCSetUp() Notes: The interface routine PCSetUp() is not usually called directly by the user, but instead is called by PCApply() if necessary. */ #undef __FUNCT__ #define __FUNCT__ "PCSetUp_GAMG" PetscErrorCode PCSetUp_GAMG( PC pc ) { PetscErrorCode ierr; PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; Mat Pmat = pc->pmat; PetscInt fine_level,level,level1,bs,M,qq,lidx,nASMBlocksArr[GAMG_MAXLEVELS]; MPI_Comm wcomm = ((PetscObject)pc)->comm; PetscMPIInt mype,npe,nactivepe; Mat Aarr[GAMG_MAXLEVELS],Parr[GAMG_MAXLEVELS]; PetscReal emaxs[GAMG_MAXLEVELS]; IS *ASMLocalIDsArr[GAMG_MAXLEVELS]; GAMGKKTMat kktMatsArr[GAMG_MAXLEVELS]; PetscLogDouble nnz0=0.,nnztot=0.; MatInfo info; PetscBool stokes = PETSC_FALSE, redo_mesh_setup = PETSC_FALSE; PetscFunctionBegin; ierr = MPI_Comm_rank(wcomm,&mype);CHKERRQ(ierr); ierr = MPI_Comm_size(wcomm,&npe);CHKERRQ(ierr); if (pc_gamg->verbose>2) PetscPrintf(wcomm,"[%d]%s pc_gamg->setup_count=%d pc->setupcalled=%d\n",mype,__FUNCT__,pc_gamg->setup_count,pc->setupcalled); if ( pc_gamg->setup_count++ > 0 ) { if ( redo_mesh_setup ) { /* reset everything */ ierr = PCReset_MG( pc );CHKERRQ(ierr); pc->setupcalled = 0; } else { PC_MG_Levels **mglevels = mg->levels; /* just do Galerkin grids */ Mat B,dA,dB; assert(pc->setupcalled); if ( pc_gamg->Nlevels > 1 ) { /* currently only handle case where mat and pmat are the same on coarser levels */ ierr = KSPGetOperators(mglevels[pc_gamg->Nlevels-1]->smoothd,&dA,&dB,PETSC_NULL);CHKERRQ(ierr); /* (re)set to get dirty flag */ ierr = KSPSetOperators(mglevels[pc_gamg->Nlevels-1]->smoothd,dA,dB,SAME_NONZERO_PATTERN);CHKERRQ(ierr); for (level=pc_gamg->Nlevels-2; level>-1; level--) { /* the first time through the matrix structure has changed from repartitioning */ if ( pc_gamg->setup_count==2 /*&& (pc_gamg->repart || level==0)*/) { ierr = MatPtAP(dB,mglevels[level+1]->interpolate,MAT_INITIAL_MATRIX,1.0,&B);CHKERRQ(ierr); ierr = MatDestroy(&mglevels[level]->A);CHKERRQ(ierr); mglevels[level]->A = B; } else { ierr = KSPGetOperators(mglevels[level]->smoothd,PETSC_NULL,&B,PETSC_NULL);CHKERRQ(ierr); ierr = MatPtAP(dB,mglevels[level+1]->interpolate,MAT_REUSE_MATRIX,1.0,&B);CHKERRQ(ierr); } ierr = KSPSetOperators(mglevels[level]->smoothd,B,B,SAME_NONZERO_PATTERN);CHKERRQ(ierr); dB = B; } } ierr = PCSetUp_MG( pc );CHKERRQ( ierr ); /* PCSetUp_MG seems to insists on setting this to GMRES */ ierr = KSPSetType( mglevels[0]->smoothd, KSPPREONLY );CHKERRQ(ierr); PetscFunctionReturn(0); } } ierr = PetscOptionsGetBool(((PetscObject)pc)->prefix,"-pc_fieldsplit_detect_saddle_point",&stokes,PETSC_NULL);CHKERRQ(ierr); ierr = GAMGKKTMatCreate( Pmat, stokes, &kktMatsArr[0] );CHKERRQ(ierr); if ( !pc_gamg->data ) { if ( pc_gamg->orig_data ) { ierr = MatGetBlockSize( Pmat, &bs );CHKERRQ(ierr); ierr = MatGetLocalSize( Pmat, &qq, PETSC_NULL );CHKERRQ(ierr); pc_gamg->data_sz = (qq/bs)*pc_gamg->orig_data_cell_rows*pc_gamg->orig_data_cell_cols; pc_gamg->data_cell_rows = pc_gamg->orig_data_cell_rows; pc_gamg->data_cell_cols = pc_gamg->orig_data_cell_cols; ierr = PetscMalloc( pc_gamg->data_sz*sizeof(PetscReal), &pc_gamg->data );CHKERRQ(ierr); for (qq=0;qqdata_sz;qq++) pc_gamg->data[qq] = pc_gamg->orig_data[qq]; } else { if ( !pc_gamg->createdefaultdata ){ SETERRQ(wcomm,PETSC_ERR_PLIB,"'createdefaultdata' not set(?) need to support NULL data"); } if ( stokes ) { SETERRQ(wcomm,PETSC_ERR_PLIB,"Need data (eg, PCSetCoordinates) for Stokes problems"); } ierr = pc_gamg->createdefaultdata( pc, kktMatsArr[0].A11 );CHKERRQ(ierr); } } /* cache original data for reuse */ if ( !pc_gamg->orig_data && redo_mesh_setup ) { ierr = PetscMalloc( pc_gamg->data_sz*sizeof(PetscReal), &pc_gamg->orig_data );CHKERRQ(ierr); for (qq=0;qqdata_sz;qq++) pc_gamg->orig_data[qq] = pc_gamg->data[qq]; pc_gamg->orig_data_cell_rows = pc_gamg->data_cell_rows; pc_gamg->orig_data_cell_cols = pc_gamg->data_cell_cols; } /* get basic dims */ if ( stokes ) { bs = pc_gamg->data_cell_rows; /* this is agg-mg specific */ } else { ierr = MatGetBlockSize( Pmat, &bs );CHKERRQ(ierr); } ierr = MatGetSize( Pmat, &M, &qq );CHKERRQ(ierr); if (pc_gamg->verbose) { PetscInt NN = M; if (pc_gamg->verbose==1) { ierr = MatGetInfo(Pmat,MAT_LOCAL,&info);CHKERRQ(ierr); ierr = MatGetLocalSize( Pmat, &NN, &qq ); } else ierr = MatGetInfo(Pmat,MAT_GLOBAL_SUM,&info); CHKERRQ(ierr); nnz0 = info.nz_used; nnztot = info.nz_used; PetscPrintf(wcomm,"\t[%d]%s level %d N=%d, n data rows=%d, n data cols=%d, nnz/row (ave)=%d, np=%d\n", mype,__FUNCT__,0,M,pc_gamg->data_cell_rows,pc_gamg->data_cell_cols, (int)(nnz0/(PetscReal)NN),npe); } /* Get A_i and R_i */ for ( level=0, Aarr[0]=Pmat, nactivepe = npe; /* hard wired stopping logic */ level < (pc_gamg->Nlevels-1) && (level==0 || M>pc_gamg->coarse_eq_limit); /* && (npe==1 || nactivepe>1); */ level++ ){ level1 = level + 1; #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET1],0,0,0,0);CHKERRQ(ierr); #if (defined GAMG_STAGES) ierr = PetscLogStagePush(gamg_stages[level]);CHKERRQ( ierr ); #endif #endif /* deal with Stokes, get sub matrices */ if ( level > 0 ) { ierr = GAMGKKTMatCreate( Aarr[level], stokes, &kktMatsArr[level] );CHKERRQ(ierr); } { /* construct prolongator */ Mat Gmat; PetscCoarsenData *agg_lists; Mat Prol11,Prol22; ierr = pc_gamg->graph( pc,kktMatsArr[level].A11, &Gmat );CHKERRQ(ierr); ierr = pc_gamg->coarsen( pc, &Gmat, &agg_lists );CHKERRQ(ierr); ierr = pc_gamg->prolongator( pc, kktMatsArr[level].A11, Gmat, agg_lists, &Prol11 );CHKERRQ(ierr); /* could have failed to create new level */ if ( Prol11 ){ /* get new block size of coarse matrices */ ierr = MatGetBlockSizes( Prol11, PETSC_NULL, &bs );CHKERRQ(ierr); if ( stokes ) { if (!pc_gamg->formkktprol) SETERRQ(wcomm,PETSC_ERR_USER,"Stokes not supportd by AMG method."); /* R A12 == (T = A21 P)'; G = T' T; coarsen G; form plain agg with G */ ierr = pc_gamg->formkktprol( pc, Prol11, kktMatsArr[level].A21, &Prol22 );CHKERRQ(ierr); } if ( pc_gamg->optprol ){ /* smooth */ ierr = pc_gamg->optprol( pc, kktMatsArr[level].A11, &Prol11 );CHKERRQ(ierr); } if ( stokes ) { IS is_row[2] = {kktMatsArr[level].prim_is,kktMatsArr[level].constr_is}; Mat a[4] = {Prol11, PETSC_NULL, PETSC_NULL, Prol22 }; ierr = MatCreateNest(wcomm,2,is_row, 2, is_row, a, &Parr[level1] );CHKERRQ(ierr); } else { Parr[level1] = Prol11; } } else Parr[level1] = PETSC_NULL; if ( pc_gamg->use_aggs_in_gasm ) { ierr = PetscCDGetASMBlocks(agg_lists, bs, &nASMBlocksArr[level], &ASMLocalIDsArr[level] ); CHKERRQ(ierr); } ierr = MatDestroy( &Gmat );CHKERRQ(ierr); ierr = PetscCDDestroy( agg_lists );CHKERRQ(ierr); } /* construct prolongator scope */ #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET1],0,0,0,0);CHKERRQ(ierr); #endif /* cache eigen estimate */ if ( pc_gamg->emax_id != -1 ){ PetscBool flag; ierr = PetscObjectComposedDataGetReal( (PetscObject)kktMatsArr[level].A11, pc_gamg->emax_id, emaxs[level], flag ); CHKERRQ( ierr ); if ( !flag ) emaxs[level] = -1.; } else emaxs[level] = -1.; if (level==0) Aarr[0] = Pmat; /* use Pmat for finest level setup */ if ( !Parr[level1] ) { if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s stop gridding, level %d\n",mype,__FUNCT__,level); break; } #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET2],0,0,0,0);CHKERRQ(ierr); #endif ierr = createLevel( pc, Aarr[level], bs, (PetscBool)(level==pc_gamg->Nlevels-2), stokes, &Parr[level1], &Aarr[level1], &nactivepe ); CHKERRQ(ierr); #if defined PETSC_GAMG_USE_LOG ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET2],0,0,0,0);CHKERRQ(ierr); #endif ierr = MatGetSize( Aarr[level1], &M, &qq );CHKERRQ(ierr); if (pc_gamg->verbose > 0){ PetscInt NN = M; if (pc_gamg->verbose==1) { ierr = MatGetInfo(Aarr[level1],MAT_LOCAL,&info);CHKERRQ(ierr); ierr = MatGetLocalSize( Aarr[level1], &NN, &qq ); } else ierr = MatGetInfo( Aarr[level1], MAT_GLOBAL_SUM, &info ); CHKERRQ(ierr); nnztot += info.nz_used; PetscPrintf(wcomm,"\t\t[%d]%s %d) N=%d, n data cols=%d, nnz/row (ave)=%d, %d active pes\n", mype,__FUNCT__,(int)level1,M,pc_gamg->data_cell_cols, (int)(info.nz_used/(PetscReal)NN), nactivepe ); CHKERRQ(ierr); } /* stop if one node -- could pull back for singular problems */ if ( M/pc_gamg->data_cell_cols < 2 ) { level++; break; } #if (defined PETSC_GAMG_USE_LOG && defined GAMG_STAGES) ierr = PetscLogStagePop();CHKERRQ( ierr ); #endif } /* levels */ if ( pc_gamg->data ) { ierr = PetscFree( pc_gamg->data );CHKERRQ( ierr ); pc_gamg->data = PETSC_NULL; } if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s %d levels, grid complexity = %g\n",0,__FUNCT__,level+1,nnztot/nnz0); pc_gamg->Nlevels = level + 1; fine_level = level; ierr = PCMGSetLevels(pc,pc_gamg->Nlevels,PETSC_NULL);CHKERRQ(ierr); /* simple setup */ if ( !PETSC_TRUE ){ PC_MG_Levels **mglevels = mg->levels; for (lidx=0,level=pc_gamg->Nlevels-1; lidxsmoothd, Aarr[level], Aarr[level], SAME_NONZERO_PATTERN );CHKERRQ(ierr); ierr = MatDestroy( &Parr[level] );CHKERRQ(ierr); ierr = MatDestroy( &Aarr[level] );CHKERRQ(ierr); } ierr = KSPSetOperators( mglevels[fine_level]->smoothd, Aarr[0], Aarr[0], SAME_NONZERO_PATTERN );CHKERRQ(ierr); ierr = PCSetUp_MG( pc );CHKERRQ( ierr ); } else if ( pc_gamg->Nlevels > 1 ) { /* don't setup MG if one level */ /* set default smoothers & set operators */ for ( lidx = 1, level = pc_gamg->Nlevels-2; lidx <= fine_level; lidx++, level--) { KSP smoother; PC subpc; ierr = PCMGGetSmoother( pc, lidx, &smoother );CHKERRQ(ierr); ierr = KSPGetPC( smoother, &subpc );CHKERRQ(ierr); ierr = KSPSetNormType( smoother, KSP_NORM_NONE );CHKERRQ(ierr); /* set ops */ ierr = KSPSetOperators( smoother, Aarr[level], Aarr[level], SAME_NONZERO_PATTERN );CHKERRQ(ierr); ierr = PCMGSetInterpolation( pc, lidx, Parr[level+1] );CHKERRQ(ierr); /* create field split PC, get subsmoother */ if ( stokes ) { KSP *ksps; PetscInt nn; ierr = PCFieldSplitSetIS(subpc,"0",kktMatsArr[level].prim_is);CHKERRQ(ierr); ierr = PCFieldSplitSetIS(subpc,"1",kktMatsArr[level].constr_is);CHKERRQ(ierr); ierr = PCFieldSplitGetSubKSP(subpc,&nn,&ksps);CHKERRQ(ierr); smoother = ksps[0]; ierr = KSPGetPC( smoother, &subpc );CHKERRQ(ierr); ierr = PetscFree( ksps );CHKERRQ(ierr); } ierr = GAMGKKTMatDestroy( &kktMatsArr[level] );CHKERRQ(ierr); /* set defaults */ ierr = KSPSetType( smoother, KSPCHEBYSHEV );CHKERRQ(ierr); /* override defaults and command line args (!) */ if ( pc_gamg->use_aggs_in_gasm ) { PetscInt sz; IS *is; sz = nASMBlocksArr[level]; is = ASMLocalIDsArr[level]; ierr = PCSetType( subpc, PCGASM );CHKERRQ(ierr); if (sz==0){ IS is; PetscInt my0,kk; ierr = MatGetOwnershipRange( Aarr[level], &my0, &kk );CHKERRQ(ierr); ierr = ISCreateGeneral(PETSC_COMM_SELF, 1, &my0, PETSC_COPY_VALUES, &is );CHKERRQ(ierr); ierr = PCGASMSetSubdomains( subpc, 1, &is, PETSC_NULL );CHKERRQ(ierr); ierr = ISDestroy( &is );CHKERRQ(ierr); } else { PetscInt kk; ierr = PCGASMSetSubdomains( subpc, sz, is, PETSC_NULL );CHKERRQ(ierr); for (kk=0;kkNlevels-1)]; lidx = 0; ierr = PCMGGetSmoother( pc, lidx, &smoother );CHKERRQ(ierr); ierr = KSPSetOperators( smoother, Lmat, Lmat, SAME_NONZERO_PATTERN );CHKERRQ(ierr); ierr = KSPSetNormType( smoother, KSP_NORM_NONE );CHKERRQ(ierr); ierr = KSPGetPC( smoother, &subpc );CHKERRQ(ierr); ierr = PCSetType( subpc, PCBJACOBI );CHKERRQ(ierr); ierr = PCSetUp( subpc );CHKERRQ(ierr); ierr = PCBJacobiGetSubKSP(subpc,&ii,&first,&k2);CHKERRQ(ierr); assert(ii==1); ierr = KSPGetPC(k2[0],&pc2);CHKERRQ(ierr); ierr = PCSetType( pc2, PCLU );CHKERRQ(ierr); } /* should be called in PCSetFromOptions_GAMG(), but cannot be called prior to PCMGSetLevels() */ ierr = PetscObjectOptionsBegin( (PetscObject)pc );CHKERRQ(ierr); ierr = PCSetFromOptions_MG( pc );CHKERRQ(ierr); ierr = PetscOptionsEnd();CHKERRQ(ierr); if (mg->galerkin != 2) SETERRQ(wcomm,PETSC_ERR_USER,"GAMG does Galerkin manually so the -pc_mg_galerkin option must not be used."); /* create cheby smoothers */ for ( lidx = 1, level = pc_gamg->Nlevels-2; lidx <= fine_level; lidx++, level--) { KSP smoother; PetscBool flag; PC subpc; ierr = PCMGGetSmoother( pc, lidx, &smoother );CHKERRQ(ierr); ierr = KSPGetPC( smoother, &subpc );CHKERRQ(ierr); /* create field split PC, get subsmoother */ if ( stokes ) { KSP *ksps; PetscInt nn; ierr = PCFieldSplitGetSubKSP(subpc,&nn,&ksps);CHKERRQ(ierr); smoother = ksps[0]; ierr = KSPGetPC( smoother, &subpc );CHKERRQ(ierr); ierr = PetscFree( ksps );CHKERRQ(ierr); } /* do my own cheby */ ierr = PetscObjectTypeCompare( (PetscObject)smoother, KSPCHEBYSHEV, &flag );CHKERRQ(ierr); if ( flag ) { PetscReal emax, emin; ierr = PetscObjectTypeCompare( (PetscObject)subpc, PCJACOBI, &flag );CHKERRQ(ierr); if ( flag && emaxs[level] > 0.0 ) emax=emaxs[level]; /* eigen estimate only for diagnal PC */ else{ /* eigen estimate 'emax' */ KSP eksp; Mat Lmat = Aarr[level]; Vec bb, xx; ierr = MatGetVecs( Lmat, &bb, 0 );CHKERRQ(ierr); ierr = MatGetVecs( Lmat, &xx, 0 );CHKERRQ(ierr); { PetscRandom rctx; ierr = PetscRandomCreate(wcomm,&rctx);CHKERRQ(ierr); ierr = PetscRandomSetFromOptions(rctx);CHKERRQ(ierr); ierr = VecSetRandom(bb,rctx);CHKERRQ(ierr); ierr = PetscRandomDestroy( &rctx );CHKERRQ(ierr); } /* zeroing out BC rows -- needed for crazy matrices */ { PetscInt Istart,Iend,ncols,jj,Ii; PetscScalar zero = 0.0; ierr = MatGetOwnershipRange( Lmat, &Istart, &Iend );CHKERRQ(ierr); for ( Ii = Istart, jj = 0 ; Ii < Iend ; Ii++, jj++ ) { ierr = MatGetRow(Lmat,Ii,&ncols,0,0);CHKERRQ(ierr); if( ncols <= 1 ) { ierr = VecSetValues( bb, 1, &Ii, &zero, INSERT_VALUES );CHKERRQ(ierr); } ierr = MatRestoreRow(Lmat,Ii,&ncols,0,0);CHKERRQ(ierr); } ierr = VecAssemblyBegin(bb);CHKERRQ(ierr); ierr = VecAssemblyEnd(bb);CHKERRQ(ierr); } ierr = KSPCreate( wcomm, &eksp );CHKERRQ(ierr); ierr = KSPSetTolerances( eksp, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT, 10 ); CHKERRQ(ierr); ierr = KSPSetNormType( eksp, KSP_NORM_NONE );CHKERRQ(ierr); ierr = KSPSetOptionsPrefix(eksp,((PetscObject)pc)->prefix);CHKERRQ(ierr); ierr = KSPAppendOptionsPrefix( eksp, "gamg_est_");CHKERRQ(ierr); ierr = KSPSetFromOptions( eksp );CHKERRQ(ierr); ierr = KSPSetInitialGuessNonzero( eksp, PETSC_FALSE );CHKERRQ(ierr); ierr = KSPSetOperators( eksp, Lmat, Lmat, SAME_NONZERO_PATTERN );CHKERRQ( ierr ); ierr = KSPSetComputeSingularValues( eksp,PETSC_TRUE );CHKERRQ(ierr); /* set PC type to be same as smoother */ ierr = KSPSetPC( eksp, subpc );CHKERRQ( ierr ); /* solve - keep stuff out of logging */ ierr = PetscLogEventDeactivate(KSP_Solve);CHKERRQ(ierr); ierr = PetscLogEventDeactivate(PC_Apply);CHKERRQ(ierr); ierr = KSPSolve( eksp, bb, xx );CHKERRQ(ierr); ierr = PetscLogEventActivate(KSP_Solve);CHKERRQ(ierr); ierr = PetscLogEventActivate(PC_Apply);CHKERRQ(ierr); ierr = KSPComputeExtremeSingularValues( eksp, &emax, &emin );CHKERRQ(ierr); ierr = VecDestroy( &xx );CHKERRQ(ierr); ierr = VecDestroy( &bb );CHKERRQ(ierr); ierr = KSPDestroy( &eksp );CHKERRQ(ierr); if ( pc_gamg->verbose > 0 ) { PetscInt N1, tt; ierr = MatGetSize( Aarr[level], &N1, &tt );CHKERRQ(ierr); PetscPrintf(wcomm,"\t\t\t%s PC setup max eigen=%e min=%e on level %d (N=%d)\n",__FUNCT__,emax,emin,lidx,N1); } } { PetscInt N1, N0; ierr = MatGetSize( Aarr[level], &N1, PETSC_NULL );CHKERRQ(ierr); ierr = MatGetSize( Aarr[level+1], &N0, PETSC_NULL );CHKERRQ(ierr); /* heuristic - is this crap? */ /* emin = 1.*emax/((PetscReal)N1/(PetscReal)N0); */ emin = emax * pc_gamg->eigtarget[0]; emax *= pc_gamg->eigtarget[1]; } ierr = KSPChebyshevSetEigenvalues( smoother, emax, emin );CHKERRQ(ierr); } /* setup checby flag */ } /* non-coarse levels */ /* clean up */ for (level=1;levelNlevels;level++){ ierr = MatDestroy( &Parr[level] );CHKERRQ(ierr); ierr = MatDestroy( &Aarr[level] );CHKERRQ(ierr); } ierr = PCSetUp_MG( pc );CHKERRQ( ierr ); if ( PETSC_FALSE ){ KSP smoother; /* PCSetUp_MG seems to insists on setting this to GMRES on coarse grid */ ierr = PCMGGetSmoother( pc, 0, &smoother );CHKERRQ(ierr); ierr = KSPSetType( smoother, KSPPREONLY );CHKERRQ(ierr); } } else { KSP smoother; if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s one level solver used (system is seen as DD). Using default solver.\n",mype,__FUNCT__); ierr = PCMGGetSmoother( pc, 0, &smoother );CHKERRQ(ierr); ierr = KSPSetOperators( smoother, Aarr[0], Aarr[0], SAME_NONZERO_PATTERN );CHKERRQ(ierr); ierr = KSPSetType( smoother, KSPPREONLY );CHKERRQ(ierr); ierr = PCSetUp_MG( pc );CHKERRQ( ierr ); } PetscFunctionReturn(0); } /* ------------------------------------------------------------------------- */ /* PCDestroy_GAMG - Destroys the private context for the GAMG preconditioner that was created with PCCreate_GAMG(). Input Parameter: . pc - the preconditioner context Application Interface Routine: PCDestroy() */ #undef __FUNCT__ #define __FUNCT__ "PCDestroy_GAMG" PetscErrorCode PCDestroy_GAMG( PC pc ) { PetscErrorCode ierr; PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg= (PC_GAMG*)mg->innerctx; PetscFunctionBegin; ierr = PCReset_GAMG( pc );CHKERRQ(ierr); ierr = PetscFree( pc_gamg );CHKERRQ(ierr); ierr = PCDestroy_MG( pc );CHKERRQ(ierr); PetscFunctionReturn(0); } #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetProcEqLim" /*@ PCGAMGSetProcEqLim - Set number of equations to aim for on coarse grids via processor reduction. Not Collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_gamg_process_eq_limit Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetProcEqLim(PC pc, PetscInt n) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetProcEqLim_C",(PC,PetscInt),(pc,n));CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetProcEqLim_GAMG" PetscErrorCode PCGAMGSetProcEqLim_GAMG(PC pc, PetscInt n) { PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; if (n>0) pc_gamg->min_eq_proc = n; PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetCoarseEqLim" /*@ PCGAMGSetCoarseEqLim - Set max number of equations on coarse grids. Collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_gamg_coarse_eq_limit Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetCoarseEqLim(PC pc, PetscInt n) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetCoarseEqLim_C",(PC,PetscInt),(pc,n));CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetCoarseEqLim_GAMG" PetscErrorCode PCGAMGSetCoarseEqLim_GAMG(PC pc, PetscInt n) { PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; if (n>0) pc_gamg->coarse_eq_limit = n; PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetRepartitioning" /*@ PCGAMGSetRepartitioning - Repartition the coarse grids Collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_gamg_repartition Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetRepartitioning(PC pc, PetscBool n) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetRepartitioning_C",(PC,PetscBool),(pc,n));CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetRepartitioning_GAMG" PetscErrorCode PCGAMGSetRepartitioning_GAMG(PC pc, PetscBool n) { PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; pc_gamg->repart = n; PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetUseASMAggs" /*@ PCGAMGSetUseASMAggs - Collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_gamg_use_agg_gasm Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetUseASMAggs(PC pc, PetscBool n) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetUseASMAggs_C",(PC,PetscBool),(pc,n));CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetUseASMAggs_GAMG" PetscErrorCode PCGAMGSetUseASMAggs_GAMG(PC pc, PetscBool n) { PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; pc_gamg->use_aggs_in_gasm = n; PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetNlevels" /*@ PCGAMGSetNlevels - Not collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_mg_levels Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetNlevels(PC pc, PetscInt n) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetNlevels_C",(PC,PetscInt),(pc,n));CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetNlevels_GAMG" PetscErrorCode PCGAMGSetNlevels_GAMG(PC pc, PetscInt n) { PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; pc_gamg->Nlevels = n; PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetThreshold" /*@ PCGAMGSetThreshold - Relative threshold to use for dropping edges in aggregation graph Not collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_gamg_threshold Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetThreshold(PC pc, PetscReal n) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetThreshold_C",(PC,PetscReal),(pc,n));CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetThreshold_GAMG" PetscErrorCode PCGAMGSetThreshold_GAMG(PC pc, PetscReal n) { PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscFunctionBegin; pc_gamg->threshold = n; PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetType" /*@ PCGAMGSetType - Set solution method - calls sub create method Collective on PC Input Parameters: . pc - the preconditioner context Options Database Key: . -pc_gamg_type Level: intermediate Concepts: Unstructured multrigrid preconditioner .seealso: () @*/ PetscErrorCode PCGAMGSetType( PC pc, PCGAMGType type ) { PetscErrorCode ierr; PetscFunctionBegin; PetscValidHeaderSpecific(pc,PC_CLASSID,1); ierr = PetscTryMethod(pc,"PCGAMGSetType_C",(PC,PCGAMGType),(pc,type)); CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCGAMGSetType_GAMG" PetscErrorCode PCGAMGSetType_GAMG( PC pc, PCGAMGType type ) { PetscErrorCode ierr,(*r)(PC); PetscFunctionBegin; ierr = PetscFListFind(GAMGList,((PetscObject)pc)->comm,type,PETSC_FALSE,(PetscVoidStarFunction)&r); CHKERRQ(ierr); if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown GAMG type %s given",type); /* call sub create method */ ierr = (*r)(pc);CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_END #undef __FUNCT__ #define __FUNCT__ "PCSetFromOptions_GAMG" PetscErrorCode PCSetFromOptions_GAMG( PC pc ) { PetscErrorCode ierr; PC_MG *mg = (PC_MG*)pc->data; PC_GAMG *pc_gamg = (PC_GAMG*)mg->innerctx; PetscBool flag; PetscInt two = 2; MPI_Comm wcomm = ((PetscObject)pc)->comm; PetscFunctionBegin; ierr = PetscOptionsHead("GAMG options");CHKERRQ(ierr); { /* -pc_gamg_verbose */ ierr = PetscOptionsInt("-pc_gamg_verbose","Verbose (debugging) output for PCGAMG", "none", pc_gamg->verbose, &pc_gamg->verbose, PETSC_NULL ); CHKERRQ(ierr); /* -pc_gamg_repartition */ ierr = PetscOptionsBool("-pc_gamg_repartition", "Repartion coarse grids (false)", "PCGAMGRepartitioning", pc_gamg->repart, &pc_gamg->repart, &flag); CHKERRQ(ierr); /* -pc_gamg_use_agg_gasm */ ierr = PetscOptionsBool("-pc_gamg_use_agg_gasm", "Use aggregation agragates for GASM smoother (false)", "PCGAMGUseASMAggs", pc_gamg->use_aggs_in_gasm, &pc_gamg->use_aggs_in_gasm, &flag); CHKERRQ(ierr); /* -pc_gamg_process_eq_limit */ ierr = PetscOptionsInt("-pc_gamg_process_eq_limit", "Limit (goal) on number of equations per process on coarse grids", "PCGAMGSetProcEqLim", pc_gamg->min_eq_proc, &pc_gamg->min_eq_proc, &flag ); CHKERRQ(ierr); /* -pc_gamg_coarse_eq_limit */ ierr = PetscOptionsInt("-pc_gamg_coarse_eq_limit", "Limit on number of equations for the coarse grid", "PCGAMGSetCoarseEqLim", pc_gamg->coarse_eq_limit, &pc_gamg->coarse_eq_limit, &flag ); CHKERRQ(ierr); /* -pc_gamg_threshold */ ierr = PetscOptionsReal("-pc_gamg_threshold", "Relative threshold to use for dropping edges in aggregation graph", "PCGAMGSetThreshold", pc_gamg->threshold, &pc_gamg->threshold, &flag ); CHKERRQ(ierr); if (flag && pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s threshold set %e\n",0,__FUNCT__,pc_gamg->threshold); ierr = PetscOptionsRealArray("-pc_gamg_eigtarget","Target eigenvalue range as fraction of estimated maximum eigenvalue","PCGAMGSetEigTarget",pc_gamg->eigtarget,&two,PETSC_NULL);CHKERRQ(ierr); ierr = PetscOptionsInt("-pc_mg_levels", "Set number of MG levels", "PCGAMGSetNlevels", pc_gamg->Nlevels, &pc_gamg->Nlevels, &flag ); } ierr = PetscOptionsTail();CHKERRQ(ierr); PetscFunctionReturn(0); } /* -------------------------------------------------------------------------- */ /*MC PCGAMG - Geometric algebraic multigrid (AMG) preconditioning framework. - This is the entry point to GAMG, registered in pcregis.c Options Database Keys: Multigrid options(inherited) + -pc_mg_cycles <1>: 1 for V cycle, 2 for W-cycle (PCMGSetCycleType) . -pc_mg_smoothup <1>: Number of post-smoothing steps (PCMGSetNumberSmoothUp) . -pc_mg_smoothdown <1>: Number of pre-smoothing steps (PCMGSetNumberSmoothDown) - -pc_mg_type : (one of) additive multiplicative full kascade Level: intermediate Concepts: multigrid .seealso: PCCreate(), PCSetType(), PCType (for list of available types), PC, PCMGType, PCMGSetLevels(), PCMGGetLevels(), PCMGSetType(), PCMGSetCycleType(), PCMGSetNumberSmoothDown(), PCMGSetNumberSmoothUp(), PCMGGetCoarseSolve(), PCMGSetResidual(), PCMGSetInterpolation(), PCMGSetRestriction(), PCMGGetSmoother(), PCMGGetSmootherUp(), PCMGGetSmootherDown(), PCMGSetCyclesOnLevel(), PCMGSetRhs(), PCMGSetX(), PCMGSetR() M*/ EXTERN_C_BEGIN #undef __FUNCT__ #define __FUNCT__ "PCCreate_GAMG" PetscErrorCode PCCreate_GAMG( PC pc ) { PetscErrorCode ierr; PC_GAMG *pc_gamg; PC_MG *mg; #if defined PETSC_GAMG_USE_LOG static long count = 0; #endif PetscFunctionBegin; /* PCGAMG is an inherited class of PCMG. Initialize pc as PCMG */ ierr = PCSetType( pc, PCMG );CHKERRQ(ierr); /* calls PCCreate_MG() and MGCreate_Private() */ ierr = PetscObjectChangeTypeName( (PetscObject)pc, PCGAMG );CHKERRQ(ierr); /* create a supporting struct and attach it to pc */ ierr = PetscNewLog( pc, PC_GAMG, &pc_gamg );CHKERRQ(ierr); mg = (PC_MG*)pc->data; mg->galerkin = 2; /* Use Galerkin, but it is computed externally */ mg->innerctx = pc_gamg; pc_gamg->setup_count = 0; /* these should be in subctx but repartitioning needs simple arrays */ pc_gamg->data_sz = 0; pc_gamg->data = 0; /* register AMG type */ if ( !GAMGList ){ ierr = PetscFListAdd(&GAMGList,GAMGGEO,"PCCreateGAMG_GEO",(void(*)(void))PCCreateGAMG_GEO);CHKERRQ(ierr); ierr = PetscFListAdd(&GAMGList,GAMGAGG,"PCCreateGAMG_AGG",(void(*)(void))PCCreateGAMG_AGG);CHKERRQ(ierr); } /* overwrite the pointers of PCMG by the functions of base class PCGAMG */ pc->ops->setfromoptions = PCSetFromOptions_GAMG; pc->ops->setup = PCSetUp_GAMG; pc->ops->reset = PCReset_GAMG; pc->ops->destroy = PCDestroy_GAMG; ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc, "PCGAMGSetProcEqLim_C", "PCGAMGSetProcEqLim_GAMG", PCGAMGSetProcEqLim_GAMG); CHKERRQ(ierr); ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc, "PCGAMGSetCoarseEqLim_C", "PCGAMGSetCoarseEqLim_GAMG", PCGAMGSetCoarseEqLim_GAMG); CHKERRQ(ierr); ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc, "PCGAMGSetRepartitioning_C", "PCGAMGSetRepartitioning_GAMG", PCGAMGSetRepartitioning_GAMG); CHKERRQ(ierr); ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc, "PCGAMGSetUseASMAggs_C", "PCGAMGSetUseASMAggs_GAMG", PCGAMGSetUseASMAggs_GAMG); CHKERRQ(ierr); ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc, "PCGAMGSetThreshold_C", "PCGAMGSetThreshold_GAMG", PCGAMGSetThreshold_GAMG); CHKERRQ(ierr); ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc, "PCGAMGSetType_C", "PCGAMGSetType_GAMG", PCGAMGSetType_GAMG); CHKERRQ(ierr); pc_gamg->repart = PETSC_FALSE; pc_gamg->use_aggs_in_gasm = PETSC_FALSE; pc_gamg->min_eq_proc = 100; pc_gamg->coarse_eq_limit = 800; pc_gamg->threshold = 0.001; pc_gamg->Nlevels = GAMG_MAXLEVELS; pc_gamg->verbose = 0; pc_gamg->emax_id = -1; pc_gamg->eigtarget[0] = 0.05; pc_gamg->eigtarget[1] = 1.05; /* private events */ #if defined PETSC_GAMG_USE_LOG if ( count++ == 0 ) { PetscLogEventRegister("GAMG: createProl", PC_CLASSID, &petsc_gamg_setup_events[SET1]); PetscLogEventRegister(" Graph", PC_CLASSID, &petsc_gamg_setup_events[GRAPH]); /* PetscLogEventRegister(" G.Mat", PC_CLASSID, &petsc_gamg_setup_events[GRAPH_MAT]); */ /* PetscLogEventRegister(" G.Filter", PC_CLASSID, &petsc_gamg_setup_events[GRAPH_FILTER]); */ /* PetscLogEventRegister(" G.Square", PC_CLASSID, &petsc_gamg_setup_events[GRAPH_SQR]); */ PetscLogEventRegister(" MIS/Agg", PC_CLASSID, &petsc_gamg_setup_events[SET4]); PetscLogEventRegister(" geo: growSupp", PC_CLASSID, &petsc_gamg_setup_events[SET5]); PetscLogEventRegister(" geo: triangle", PC_CLASSID, &petsc_gamg_setup_events[SET6]); PetscLogEventRegister(" search&set", PC_CLASSID, &petsc_gamg_setup_events[FIND_V]); PetscLogEventRegister(" SA: col data", PC_CLASSID, &petsc_gamg_setup_events[SET7]); PetscLogEventRegister(" SA: frmProl0", PC_CLASSID, &petsc_gamg_setup_events[SET8]); PetscLogEventRegister(" SA: smooth", PC_CLASSID, &petsc_gamg_setup_events[SET9]); PetscLogEventRegister("GAMG: partLevel", PC_CLASSID, &petsc_gamg_setup_events[SET2]); PetscLogEventRegister(" repartition", PC_CLASSID, &petsc_gamg_setup_events[SET12]); PetscLogEventRegister(" Invert-Sort", PC_CLASSID, &petsc_gamg_setup_events[SET13]); PetscLogEventRegister(" Move A", PC_CLASSID, &petsc_gamg_setup_events[SET14]); PetscLogEventRegister(" Move P", PC_CLASSID, &petsc_gamg_setup_events[SET15]); /* PetscLogEventRegister(" PL move data", PC_CLASSID, &petsc_gamg_setup_events[SET13]); */ /* PetscLogEventRegister("GAMG: fix", PC_CLASSID, &petsc_gamg_setup_events[SET10]); */ /* PetscLogEventRegister("GAMG: set levels", PC_CLASSID, &petsc_gamg_setup_events[SET11]); */ /* create timer stages */ #if defined GAMG_STAGES { char str[32]; sprintf(str,"MG Level %d (finest)",0); PetscLogStageRegister(str, &gamg_stages[0]); PetscInt lidx; for (lidx=1;lidx<9;lidx++){ sprintf(str,"MG Level %d",lidx); PetscLogStageRegister(str, &gamg_stages[lidx]); } } #endif } #endif /* general events */ #if defined PETSC_USE_LOG PetscLogEventRegister("PCGAMGgraph_AGG", 0, &PC_GAMGGgraph_AGG); PetscLogEventRegister("PCGAMGgraph_GEO", PC_CLASSID, &PC_GAMGGgraph_GEO); PetscLogEventRegister("PCGAMGcoarse_AGG", PC_CLASSID, &PC_GAMGCoarsen_AGG); PetscLogEventRegister("PCGAMGcoarse_GEO", PC_CLASSID, &PC_GAMGCoarsen_GEO); PetscLogEventRegister("PCGAMGProl_AGG", PC_CLASSID, &PC_GAMGProlongator_AGG); PetscLogEventRegister("PCGAMGProl_GEO", PC_CLASSID, &PC_GAMGProlongator_GEO); PetscLogEventRegister("PCGAMGPOpt_AGG", PC_CLASSID, &PC_GAMGOptprol_AGG); PetscLogEventRegister("GAMGKKTProl_AGG", PC_CLASSID, &PC_GAMGKKTProl_AGG); #endif /* instantiate derived type */ ierr = PetscOptionsHead("GAMG options");CHKERRQ(ierr); { char tname[256] = GAMGAGG; ierr = PetscOptionsList("-pc_gamg_type","Type of GAMG method","PCGAMGSetType", GAMGList, tname, tname, sizeof(tname), PETSC_NULL ); CHKERRQ(ierr); ierr = PCGAMGSetType( pc, tname );CHKERRQ(ierr); } ierr = PetscOptionsTail();CHKERRQ(ierr); PetscFunctionReturn(0); } EXTERN_C_END