xref: /petsc/src/ksp/pc/impls/gamg/gamg.c (revision db31f6defe33e3dfd9985704e6b8f54a7ffb6553)
1 /*
2  GAMG geometric-algebric multigrid PC - Mark Adams 2011
3  */
4 #include "petsc-private/matimpl.h"
5 #include <../src/ksp/pc/impls/gamg/gamg.h>           /*I "petscpc.h" I*/
6 #include <petsc-private/kspimpl.h>
7 
8 #if defined PETSC_GAMG_USE_LOG
9 PetscLogEvent petsc_gamg_setup_events[NUM_SET];
10 #endif
11 
12 #if defined PETSC_USE_LOG
13 PetscLogEvent PC_GAMGGgraph_AGG;
14 PetscLogEvent PC_GAMGGgraph_GEO;
15 PetscLogEvent PC_GAMGCoarsen_AGG;
16 PetscLogEvent PC_GAMGCoarsen_GEO;
17 PetscLogEvent PC_GAMGProlongator_AGG;
18 PetscLogEvent PC_GAMGProlongator_GEO;
19 PetscLogEvent PC_GAMGOptprol_AGG;
20 PetscLogEvent PC_GAMGKKTProl_AGG;
21 #endif
22 
23 #define GAMG_MAXLEVELS 30
24 
25 /* #define GAMG_STAGES */
26 #if (defined PETSC_GAMG_USE_LOG && defined GAMG_STAGES)
27 static PetscLogStage gamg_stages[GAMG_MAXLEVELS];
28 #endif
29 
30 static PetscFList GAMGList = 0;
31 
32 /* ----------------------------------------------------------------------------- */
33 #undef __FUNCT__
34 #define __FUNCT__ "PCReset_GAMG"
35 PetscErrorCode PCReset_GAMG(PC pc)
36 {
37   PetscErrorCode  ierr;
38   PC_MG           *mg = (PC_MG*)pc->data;
39   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
40 
41   PetscFunctionBegin;
42   if( pc_gamg->data ) { /* this should not happen, cleaned up in SetUp */
43     ierr = PetscFree( pc_gamg->data ); CHKERRQ(ierr);
44   }
45   pc_gamg->data = PETSC_NULL; pc_gamg->data_sz = 0;
46   PetscFunctionReturn(0);
47 }
48 
49 /* private 2x2 Mat Nest for Stokes */
50 typedef struct{
51   Mat A11,A21,A12,Amat;
52   IS  prim_is,constr_is;
53 }GAMGKKTMat;
54 
55 #undef __FUNCT__
56 #define __FUNCT__ "GAMGKKTMatCreate"
57 static PetscErrorCode GAMGKKTMatCreate( Mat A, PetscBool iskkt, GAMGKKTMat *out )
58 {
59   PetscFunctionBegin;
60   out->Amat = A;
61   if( iskkt ){
62     PetscErrorCode   ierr;
63     IS       is_constraint, is_prime;
64     PetscInt nmin,nmax;
65 
66     ierr = MatGetOwnershipRange( A, &nmin, &nmax );   CHKERRQ(ierr);
67     ierr = MatFindZeroDiagonals( A, &is_constraint ); CHKERRQ(ierr);
68     ierr = ISComplement( is_constraint, nmin, nmax, &is_prime ); CHKERRQ(ierr);
69     out->prim_is = is_prime;
70     out->constr_is = is_constraint;
71 
72     ierr = MatGetSubMatrix( A, is_prime, is_prime,      MAT_INITIAL_MATRIX, &out->A11); CHKERRQ(ierr);
73     ierr = MatGetSubMatrix( A, is_prime, is_constraint, MAT_INITIAL_MATRIX, &out->A12); CHKERRQ(ierr);
74     ierr = MatGetSubMatrix( A, is_constraint, is_prime, MAT_INITIAL_MATRIX, &out->A21); CHKERRQ(ierr);
75 PetscPrintf(((PetscObject)A)->comm,"[%d]%s N=%d N_11=%d\n",0,__FUNCT__,A->rmap->N,out->A11->rmap->N);
76   }
77   else {
78     out->A11 = A;
79     out->A21 = PETSC_NULL;
80     out->A12 = PETSC_NULL;
81     out->prim_is = PETSC_NULL;
82     out->constr_is = PETSC_NULL;
83   }
84   PetscFunctionReturn(0);
85 }
86 
87 #undef __FUNCT__
88 #define __FUNCT__ "GAMGKKTMatDestroy"
89 static PetscErrorCode GAMGKKTMatDestroy( GAMGKKTMat *mat )
90 {
91   PetscErrorCode   ierr;
92 
93   PetscFunctionBegin;
94   if( mat->A11 && mat->A11 != mat->Amat ) {
95     ierr = MatDestroy( &mat->A11 );  CHKERRQ(ierr);
96   }
97   ierr = MatDestroy( &mat->A21 );  CHKERRQ(ierr);
98   ierr = MatDestroy( &mat->A12 );  CHKERRQ(ierr);
99 
100   ierr = ISDestroy( &mat->prim_is );    CHKERRQ(ierr);
101   ierr = ISDestroy( &mat->constr_is );    CHKERRQ(ierr);
102 
103   PetscFunctionReturn(0);
104 }
105 
106 /* -------------------------------------------------------------------------- */
107 /*
108    createLevel: create coarse op with RAP.  repartition and/or reduce number
109      of active processors.
110 
111    Input Parameter:
112    . pc - parameters + side effect: coarse data in 'pc_gamg->data' and
113           'pc_gamg->data_sz' are changed via repartitioning/reduction.
114    . Amat_fine - matrix on this fine (k) level
115    . cr_bs - coarse block size
116    . isLast -
117    . stokes -
118    In/Output Parameter:
119    . a_P_inout - prolongation operator to the next level (k-->k-1)
120    . a_nactive_proc - number of active procs
121    Output Parameter:
122    . a_Amat_crs - coarse matrix that is created (k-1)
123 */
124 
125 #undef __FUNCT__
126 #define __FUNCT__ "createLevel"
127 static PetscErrorCode createLevel( const PC pc,
128                                    const Mat Amat_fine,
129                                    const PetscInt cr_bs,
130                                    const PetscBool isLast,
131                                    const PetscBool stokes,
132                                    Mat *a_P_inout,
133                                    Mat *a_Amat_crs,
134                                    PetscMPIInt *a_nactive_proc
135                                    )
136 {
137   PetscErrorCode   ierr;
138   PC_MG           *mg = (PC_MG*)pc->data;
139   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
140   const PetscBool  repart = pc_gamg->repart;
141   const PetscInt   min_eq_proc = pc_gamg->min_eq_proc, coarse_max = pc_gamg->coarse_eq_limit;
142   Mat              Cmat,Pold=*a_P_inout;
143   MPI_Comm         wcomm = ((PetscObject)Amat_fine)->comm;
144   PetscMPIInt      mype,npe,new_npe,nactive=*a_nactive_proc;
145   PetscInt         ncrs_eq,ncrs_prim,f_bs;
146 
147   PetscFunctionBegin;
148   ierr = MPI_Comm_rank( wcomm, &mype ); CHKERRQ(ierr);
149   ierr = MPI_Comm_size( wcomm, &npe );  CHKERRQ(ierr);
150   ierr = MatGetBlockSize( Amat_fine, &f_bs ); CHKERRQ(ierr);
151   /* RAP */
152   ierr = MatPtAP( Amat_fine, Pold, MAT_INITIAL_MATRIX, 2.0, &Cmat ); CHKERRQ(ierr);
153 
154   /* set 'ncrs_prim' (nodes), 'ncrs_eq' (equations)*/
155   ncrs_prim = pc_gamg->data_sz/pc_gamg->data_cell_cols/pc_gamg->data_cell_rows;
156   assert(pc_gamg->data_sz%(pc_gamg->data_cell_cols*pc_gamg->data_cell_rows)==0);
157   ierr = MatGetLocalSize( Cmat, &ncrs_eq, PETSC_NULL );  CHKERRQ(ierr);
158 
159   /* get number of PEs to make active 'new_npe', reduce, can be any integer 1-P */
160   {
161     PetscInt ncrs_eq_glob,ncrs_eq_ave;
162     ierr = MatGetSize( Cmat, &ncrs_eq_glob, PETSC_NULL );  CHKERRQ(ierr);
163     ncrs_eq_ave = ncrs_eq_glob/npe;
164     new_npe = (PetscMPIInt)((float)ncrs_eq_ave/(float)min_eq_proc + 0.5); /* hardwire min. number of eq/proc */
165     if( new_npe == 0 || ncrs_eq_ave < coarse_max ) new_npe = 1;
166     else if ( new_npe >= nactive ) new_npe = nactive; /* no change, rare */
167     if( isLast ) new_npe = 1;
168   }
169 
170   if( !repart && new_npe==nactive ) {
171     *a_Amat_crs = Cmat; /* output - no repartitioning or reduction - could bail here */
172     }
173   else {
174     const PetscInt *idx,ndata_rows=pc_gamg->data_cell_rows,ndata_cols=pc_gamg->data_cell_cols,node_data_sz=ndata_rows*ndata_cols;
175     PetscInt       *counts,*newproc_idx,ii,jj,kk,strideNew,*tidx,ncrs_prim_new,ncrs_eq_new,nloc_old;
176     IS              is_eq_newproc,is_eq_newproc_prim,is_eq_num,is_eq_num_prim,isscat,new_eq_indices;
177     VecScatter      vecscat;
178     PetscScalar    *array;
179     Vec             src_crd, dest_crd;
180 
181     nloc_old = ncrs_eq/cr_bs; assert(ncrs_eq%cr_bs==0);
182 #if defined PETSC_GAMG_USE_LOG
183     ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET12],0,0,0,0);CHKERRQ(ierr);
184 #endif
185     /* make 'is_eq_newproc' */
186     ierr = PetscMalloc( npe*sizeof(PetscInt), &counts ); CHKERRQ(ierr);
187     if( repart && !stokes ) {
188       /* Repartition Cmat_{k} and move colums of P^{k}_{k-1} and coordinates of primal part accordingly */
189       Mat             adj;
190 
191       if (pc_gamg->verbose>0) {
192         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);
193         else {
194           PetscInt n;
195           ierr = MPI_Allreduce( &ncrs_eq, &n, 1, MPIU_INT, MPI_SUM, wcomm );CHKERRQ(ierr);
196           PetscPrintf(wcomm,"\t[%d]%s repartition: npe (active): %d --> %d, neq = %d\n",mype,__FUNCT__,*a_nactive_proc,new_npe,n);
197         }
198       }
199 
200       /* get 'adj' */
201       if( cr_bs == 1 ) {
202 	ierr = MatConvert( Cmat, MATMPIADJ, MAT_INITIAL_MATRIX, &adj );   CHKERRQ(ierr);
203       }
204       else{
205 	/* make a scalar matrix to partition (no Stokes here) */
206 	Mat tMat;
207 	PetscInt Istart_crs,Iend_crs,ncols,jj,Ii;
208 	const PetscScalar *vals;
209 	const PetscInt *idx;
210 	PetscInt *d_nnz, *o_nnz, M, N;
211 	static PetscInt llev = 0;
212 
213 	ierr = PetscMalloc( ncrs_prim*sizeof(PetscInt), &d_nnz ); CHKERRQ(ierr);
214 	ierr = PetscMalloc( ncrs_prim*sizeof(PetscInt), &o_nnz ); CHKERRQ(ierr);
215         ierr = MatGetOwnershipRange( Cmat, &Istart_crs, &Iend_crs );    CHKERRQ(ierr);
216         ierr = MatGetSize( Cmat, &M, &N );CHKERRQ(ierr);
217 	for ( Ii = Istart_crs, jj = 0 ; Ii < Iend_crs ; Ii += cr_bs, jj++ ) {
218 	  ierr = MatGetRow(Cmat,Ii,&ncols,0,0); CHKERRQ(ierr);
219 	  d_nnz[jj] = ncols/cr_bs;
220 	  o_nnz[jj] = ncols/cr_bs;
221 	  ierr = MatRestoreRow(Cmat,Ii,&ncols,0,0); CHKERRQ(ierr);
222 	  if( d_nnz[jj] > ncrs_prim ) d_nnz[jj] = ncrs_prim;
223 	  if( o_nnz[jj] > (M/cr_bs-ncrs_prim) ) o_nnz[jj] = M/cr_bs-ncrs_prim;
224 	}
225 
226 	ierr = MatCreate( wcomm, &tMat ); CHKERRQ(ierr);
227 	ierr = MatSetSizes( tMat, ncrs_prim, ncrs_prim,
228                             PETSC_DETERMINE, PETSC_DETERMINE );
229         CHKERRQ(ierr);
230         ierr = MatSetType(tMat,MATAIJ);   CHKERRQ(ierr);
231         ierr = MatSeqAIJSetPreallocation(tMat,0,d_nnz);CHKERRQ(ierr);
232         ierr = MatMPIAIJSetPreallocation(tMat,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
233 	ierr = PetscFree( d_nnz ); CHKERRQ(ierr);
234 	ierr = PetscFree( o_nnz ); CHKERRQ(ierr);
235 
236 	for ( ii = Istart_crs; ii < Iend_crs; ii++ ) {
237 	  PetscInt dest_row = ii/cr_bs;
238 	  ierr = MatGetRow(Cmat,ii,&ncols,&idx,&vals); CHKERRQ(ierr);
239 	  for( jj = 0 ; jj < ncols ; jj++ ){
240 	    PetscInt dest_col = idx[jj]/cr_bs;
241 	    PetscScalar v = 1.0;
242 	    ierr = MatSetValues(tMat,1,&dest_row,1,&dest_col,&v,ADD_VALUES); CHKERRQ(ierr);
243 	  }
244 	  ierr = MatRestoreRow(Cmat,ii,&ncols,&idx,&vals); CHKERRQ(ierr);
245 	}
246 	ierr = MatAssemblyBegin(tMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
247 	ierr = MatAssemblyEnd(tMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
248 
249 	if( llev++ == -1 ) {
250 	  PetscViewer viewer; char fname[32];
251 	  ierr = PetscSNPrintf(fname,sizeof fname,"part_mat_%D.mat",llev);CHKERRQ(ierr);
252 	  PetscViewerBinaryOpen(wcomm,fname,FILE_MODE_WRITE,&viewer);
253 	  ierr = MatView( tMat, viewer ); CHKERRQ(ierr);
254 	  ierr = PetscViewerDestroy( &viewer );
255 	}
256 
257 	ierr = MatConvert( tMat, MATMPIADJ, MAT_INITIAL_MATRIX, &adj );   CHKERRQ(ierr);
258 
259 	ierr = MatDestroy( &tMat );  CHKERRQ(ierr);
260       } /* create 'adj' */
261 
262       { /* partition: get newproc_idx */
263 	char prefix[256];
264 	const char *pcpre;
265 	const PetscInt *is_idx;
266 	MatPartitioning  mpart;
267 	IS proc_is;
268 	PetscInt targetPE;
269 
270 	ierr = MatPartitioningCreate( wcomm, &mpart ); CHKERRQ(ierr);
271 	ierr = MatPartitioningSetAdjacency( mpart, adj ); CHKERRQ(ierr);
272 	ierr = PCGetOptionsPrefix( pc, &pcpre );CHKERRQ(ierr);
273 	ierr = PetscSNPrintf(prefix,sizeof prefix,"%spc_gamg_",pcpre?pcpre:"");CHKERRQ(ierr);
274 	ierr = PetscObjectSetOptionsPrefix((PetscObject)mpart,prefix);CHKERRQ(ierr);
275 	ierr = MatPartitioningSetFromOptions( mpart );    CHKERRQ(ierr);
276 	ierr = MatPartitioningSetNParts( mpart, new_npe );CHKERRQ(ierr);
277 	ierr = MatPartitioningApply( mpart, &proc_is ); CHKERRQ(ierr);
278 	ierr = MatPartitioningDestroy( &mpart );          CHKERRQ(ierr);
279 
280 	/* collect IS info */
281 	ierr = PetscMalloc( ncrs_eq*sizeof(PetscInt), &newproc_idx ); CHKERRQ(ierr);
282 	ierr = ISGetIndices( proc_is, &is_idx );        CHKERRQ(ierr);
283 	targetPE = 1; /* bring to "front" of machine */
284 	/*targetPE = npe/new_npe;*/ /* spread partitioning across machine */
285 	for( kk = jj = 0 ; kk < nloc_old ; kk++ ){
286 	  for( ii = 0 ; ii < cr_bs ; ii++, jj++ ){
287 	    newproc_idx[jj] = is_idx[kk] * targetPE; /* distribution */
288 	  }
289 	}
290 	ierr = ISRestoreIndices( proc_is, &is_idx );     CHKERRQ(ierr);
291 	ierr = ISDestroy( &proc_is );                    CHKERRQ(ierr);
292       }
293       ierr = MatDestroy( &adj );                       CHKERRQ(ierr);
294 
295       ierr = ISCreateGeneral( wcomm, ncrs_eq, newproc_idx, PETSC_COPY_VALUES, &is_eq_newproc );
296       CHKERRQ(ierr);
297       if( newproc_idx != 0 ) {
298 	ierr = PetscFree( newproc_idx );  CHKERRQ(ierr);
299       }
300     } /* repartitioning */
301     else { /* simple aggreagtion of parts -- 'is_eq_newproc' */
302 
303       PetscInt rfactor,targetPE;
304       /* find factor */
305       if( new_npe == 1 ) rfactor = npe; /* easy */
306       else {
307 	PetscReal best_fact = 0.;
308 	jj = -1;
309 	for( kk = 1 ; kk <= npe ; kk++ ){
310 	  if( npe%kk==0 ) { /* a candidate */
311 	    PetscReal nactpe = (PetscReal)npe/(PetscReal)kk, fact = nactpe/(PetscReal)new_npe;
312 	    if(fact > 1.0) fact = 1./fact; /* keep fact < 1 */
313 	    if( fact > best_fact ) {
314 	      best_fact = fact; jj = kk;
315 	    }
316 	  }
317 	}
318 	if( jj != -1 ) rfactor = jj;
319 	else rfactor = 1; /* does this happen .. a prime */
320       }
321       new_npe = npe/rfactor;
322 
323       if( new_npe==nactive ) {
324 	*a_Amat_crs = Cmat; /* output - no repartitioning or reduction, bail out because nested here */
325 	ierr = PetscFree( counts );  CHKERRQ(ierr);
326 	if (pc_gamg->verbose>0){
327           PetscPrintf(wcomm,"\t[%d]%s aggregate processors noop: new_npe=%d, neq(loc)=%d\n",mype,__FUNCT__,new_npe,ncrs_eq);
328         }
329 	PetscFunctionReturn(0);
330       }
331 
332       if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s number of equations (loc) %d with simple aggregation\n",mype,__FUNCT__,ncrs_eq);
333       targetPE = mype/rfactor;
334       ierr = ISCreateStride( wcomm, ncrs_eq, targetPE, 0, &is_eq_newproc ); CHKERRQ(ierr);
335 
336       if( stokes ) {
337         ierr = ISCreateStride( wcomm, ncrs_prim*cr_bs, targetPE, 0, &is_eq_newproc_prim ); CHKERRQ(ierr);
338       }
339     } /* end simple 'is_eq_newproc' */
340 
341     /*
342      Create an index set from the is_eq_newproc index set to indicate the mapping TO
343      */
344     ierr = ISPartitioningToNumbering( is_eq_newproc, &is_eq_num ); CHKERRQ(ierr);
345     if( stokes ) {
346       ierr = ISPartitioningToNumbering( is_eq_newproc_prim, &is_eq_num_prim ); CHKERRQ(ierr);
347     }
348     else is_eq_num_prim = is_eq_num;
349     /*
350       Determine how many equations/vertices are assigned to each processor
351      */
352     ierr = ISPartitioningCount( is_eq_newproc, npe, counts ); CHKERRQ(ierr);
353     ncrs_eq_new = counts[mype];
354     ierr = ISDestroy( &is_eq_newproc );                       CHKERRQ(ierr);
355     if( stokes ) {
356       ierr = ISPartitioningCount( is_eq_newproc_prim, npe, counts ); CHKERRQ(ierr);
357       ierr = ISDestroy( &is_eq_newproc_prim );                       CHKERRQ(ierr);
358       ncrs_prim_new = counts[mype]/cr_bs; /* nodes */
359     }
360     else ncrs_prim_new = ncrs_eq_new/cr_bs; /* eqs */
361 
362     ierr = PetscFree( counts );  CHKERRQ(ierr);
363 #if defined PETSC_GAMG_USE_LOG
364     ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET12],0,0,0,0);   CHKERRQ(ierr);
365 #endif
366 
367     /* move data (for primal equations only) */
368     /* Create a vector to contain the newly ordered element information */
369     ierr = VecCreate( wcomm, &dest_crd );
370     ierr = VecSetSizes( dest_crd, node_data_sz*ncrs_prim_new, PETSC_DECIDE ); CHKERRQ(ierr);
371     ierr = VecSetFromOptions( dest_crd ); CHKERRQ(ierr); /* this is needed! */
372     /*
373      There are 'ndata_rows*ndata_cols' data items per node, (one can think of the vectors of having
374      a block size of ...).  Note, ISs are expanded into equation space by 'cr_bs'.
375      */
376     ierr = PetscMalloc( (ncrs_prim*node_data_sz)*sizeof(PetscInt), &tidx ); CHKERRQ(ierr);
377     ierr = ISGetIndices( is_eq_num_prim, &idx ); CHKERRQ(ierr);
378     for(ii=0,jj=0; ii<ncrs_prim ; ii++) {
379       PetscInt id = idx[ii*cr_bs]/cr_bs; /* get node back */
380       for( kk=0; kk<node_data_sz ; kk++, jj++) tidx[jj] = id*node_data_sz + kk;
381     }
382     ierr = ISRestoreIndices( is_eq_num_prim, &idx ); CHKERRQ(ierr);
383     ierr = ISCreateGeneral( wcomm, node_data_sz*ncrs_prim, tidx, PETSC_COPY_VALUES, &isscat );
384     CHKERRQ(ierr);
385     ierr = PetscFree( tidx );  CHKERRQ(ierr);
386     /*
387      Create a vector to contain the original vertex information for each element
388      */
389     ierr = VecCreateSeq( PETSC_COMM_SELF, node_data_sz*ncrs_prim, &src_crd ); CHKERRQ(ierr);
390     for( jj=0; jj<ndata_cols ; jj++ ) {
391       const PetscInt stride0=ncrs_prim*pc_gamg->data_cell_rows;
392       for( ii=0 ; ii<ncrs_prim ; ii++) {
393 	for( kk=0; kk<ndata_rows ; kk++ ) {
394 	  PetscInt ix = ii*ndata_rows + kk + jj*stride0, jx = ii*node_data_sz + kk*ndata_cols + jj;
395           PetscScalar tt = (PetscScalar)pc_gamg->data[ix];
396 	  ierr = VecSetValues( src_crd, 1, &jx, &tt, INSERT_VALUES );  CHKERRQ(ierr);
397 	}
398       }
399     }
400     ierr = VecAssemblyBegin(src_crd); CHKERRQ(ierr);
401     ierr = VecAssemblyEnd(src_crd); CHKERRQ(ierr);
402     /*
403       Scatter the element vertex information (still in the original vertex ordering)
404       to the correct processor
405     */
406     ierr = VecScatterCreate( src_crd, PETSC_NULL, dest_crd, isscat, &vecscat);
407     CHKERRQ(ierr);
408     ierr = ISDestroy( &isscat );       CHKERRQ(ierr);
409     ierr = VecScatterBegin(vecscat,src_crd,dest_crd,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
410     ierr = VecScatterEnd(vecscat,src_crd,dest_crd,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
411     ierr = VecScatterDestroy( &vecscat );       CHKERRQ(ierr);
412     ierr = VecDestroy( &src_crd );       CHKERRQ(ierr);
413     /*
414       Put the element vertex data into a new allocation of the gdata->ele
415     */
416     ierr = PetscFree( pc_gamg->data );    CHKERRQ(ierr);
417     ierr = PetscMalloc( node_data_sz*ncrs_prim_new*sizeof(PetscReal), &pc_gamg->data );    CHKERRQ(ierr);
418     pc_gamg->data_sz = node_data_sz*ncrs_prim_new;
419     strideNew = ncrs_prim_new*ndata_rows;
420     ierr = VecGetArray( dest_crd, &array );    CHKERRQ(ierr);
421     for( jj=0; jj<ndata_cols ; jj++ ) {
422       for( ii=0 ; ii<ncrs_prim_new ; ii++) {
423 	for( kk=0; kk<ndata_rows ; kk++ ) {
424 	  PetscInt ix = ii*ndata_rows + kk + jj*strideNew, jx = ii*node_data_sz + kk*ndata_cols + jj;
425 	  pc_gamg->data[ix] = PetscRealPart(array[jx]);
426 	}
427       }
428     }
429     ierr = VecRestoreArray( dest_crd, &array );    CHKERRQ(ierr);
430     ierr = VecDestroy( &dest_crd );    CHKERRQ(ierr);
431 
432     /* move A and P (columns) with new layout */
433 #if defined PETSC_GAMG_USE_LOG
434     ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET13],0,0,0,0);CHKERRQ(ierr);
435 #endif
436 
437     /*
438       Invert for MatGetSubMatrix
439     */
440     ierr = ISInvertPermutation( is_eq_num, ncrs_eq_new, &new_eq_indices ); CHKERRQ(ierr);
441     ierr = ISSort( new_eq_indices ); CHKERRQ(ierr); /* is this needed? */
442     ierr = ISSetBlockSize( new_eq_indices, cr_bs );   CHKERRQ(ierr);
443     if(is_eq_num != is_eq_num_prim) {
444       ierr = ISDestroy( &is_eq_num_prim ); CHKERRQ(ierr); /* could be same as 'is_eq_num' */
445     }
446     ierr = ISDestroy( &is_eq_num ); CHKERRQ(ierr);
447 #if defined PETSC_GAMG_USE_LOG
448     ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET13],0,0,0,0);CHKERRQ(ierr);
449     ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET14],0,0,0,0);CHKERRQ(ierr);
450 #endif
451     /* 'a_Amat_crs' output */
452     {
453       Mat mat;
454       ierr = MatGetSubMatrix( Cmat, new_eq_indices, new_eq_indices, MAT_INITIAL_MATRIX, &mat );
455       CHKERRQ(ierr);
456       *a_Amat_crs = mat;
457 
458       if(!PETSC_TRUE){
459         PetscInt cbs, rbs;
460         ierr = MatGetBlockSizes( Cmat, &rbs, &cbs ); CHKERRQ(ierr);
461         PetscPrintf(MPI_COMM_SELF,"[%d]%s Old Mat rbs=%d cbs=%d\n",mype,__FUNCT__,rbs,cbs);
462         ierr = MatGetBlockSizes( mat, &rbs, &cbs ); CHKERRQ(ierr);
463         PetscPrintf(MPI_COMM_SELF,"[%d]%s New Mat rbs=%d cbs=%d cr_bs=%d\n",mype,__FUNCT__,rbs,cbs,cr_bs);
464       }
465     }
466     ierr = MatDestroy( &Cmat ); CHKERRQ(ierr);
467 
468 #if defined PETSC_GAMG_USE_LOG
469     ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET14],0,0,0,0);CHKERRQ(ierr);
470 #endif
471     /* prolongator */
472     {
473       IS findices;
474       PetscInt Istart,Iend;
475       Mat Pnew;
476       ierr = MatGetOwnershipRange( Pold, &Istart, &Iend );    CHKERRQ(ierr);
477 #if defined PETSC_GAMG_USE_LOG
478       ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET15],0,0,0,0);CHKERRQ(ierr);
479 #endif
480       ierr = ISCreateStride(wcomm,Iend-Istart,Istart,1,&findices);   CHKERRQ(ierr);
481       ierr = ISSetBlockSize(findices,f_bs);   CHKERRQ(ierr);
482       ierr = MatGetSubMatrix( Pold, findices, new_eq_indices, MAT_INITIAL_MATRIX, &Pnew );
483       CHKERRQ(ierr);
484       ierr = ISDestroy( &findices ); CHKERRQ(ierr);
485 
486       if(!PETSC_TRUE){
487         PetscInt cbs, rbs;
488         ierr = MatGetBlockSizes( Pold, &rbs, &cbs ); CHKERRQ(ierr);
489         PetscPrintf(MPI_COMM_SELF,"[%d]%s Pold rbs=%d cbs=%d\n",mype,__FUNCT__,rbs,cbs);
490         ierr = MatGetBlockSizes( Pnew, &rbs, &cbs ); CHKERRQ(ierr);
491         PetscPrintf(MPI_COMM_SELF,"[%d]%s Pnew rbs=%d cbs=%d\n",mype,__FUNCT__,rbs,cbs);
492       }
493 #if defined PETSC_GAMG_USE_LOG
494       ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET15],0,0,0,0);CHKERRQ(ierr);
495 #endif
496       ierr = MatDestroy( a_P_inout ); CHKERRQ(ierr);
497 
498       /* output - repartitioned */
499       *a_P_inout = Pnew;
500     }
501     ierr = ISDestroy( &new_eq_indices ); CHKERRQ(ierr);
502 
503     *a_nactive_proc = new_npe; /* output */
504   }
505 
506   /* outout matrix data */
507   if( !PETSC_TRUE ) {
508     PetscViewer viewer; char fname[32]; static int llev=0; Cmat = *a_Amat_crs;
509     if(llev==0) {
510       sprintf(fname,"Cmat_%d.m",llev++);
511       PetscViewerASCIIOpen(wcomm,fname,&viewer);
512       ierr = PetscViewerSetFormat( viewer, PETSC_VIEWER_ASCII_MATLAB);  CHKERRQ(ierr);
513       ierr = MatView(Amat_fine, viewer ); CHKERRQ(ierr);
514       ierr = PetscViewerDestroy( &viewer );
515     }
516     sprintf(fname,"Cmat_%d.m",llev++);
517     PetscViewerASCIIOpen(wcomm,fname,&viewer);
518     ierr = PetscViewerSetFormat( viewer, PETSC_VIEWER_ASCII_MATLAB);  CHKERRQ(ierr);
519     ierr = MatView(Cmat, viewer ); CHKERRQ(ierr);
520     ierr = PetscViewerDestroy( &viewer );
521   }
522 
523   PetscFunctionReturn(0);
524 }
525 
526 /* -------------------------------------------------------------------------- */
527 /*
528    PCSetUp_GAMG - Prepares for the use of the GAMG preconditioner
529                     by setting data structures and options.
530 
531    Input Parameter:
532 .  pc - the preconditioner context
533 
534    Application Interface Routine: PCSetUp()
535 
536    Notes:
537    The interface routine PCSetUp() is not usually called directly by
538    the user, but instead is called by PCApply() if necessary.
539 */
540 #undef __FUNCT__
541 #define __FUNCT__ "PCSetUp_GAMG"
542 PetscErrorCode PCSetUp_GAMG( PC pc )
543 {
544   PetscErrorCode  ierr;
545   PC_MG           *mg = (PC_MG*)pc->data;
546   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
547   Mat              Pmat = pc->pmat;
548   PetscInt         fine_level,level,level1,bs,M,qq,lidx,nASMBlocksArr[GAMG_MAXLEVELS];
549   MPI_Comm         wcomm = ((PetscObject)pc)->comm;
550   PetscMPIInt      mype,npe,nactivepe;
551   Mat              Aarr[GAMG_MAXLEVELS],Parr[GAMG_MAXLEVELS];
552   PetscReal        emaxs[GAMG_MAXLEVELS];
553   IS              *ASMLocalIDsArr[GAMG_MAXLEVELS],removedEqs[GAMG_MAXLEVELS];
554   PetscInt         level_bs[GAMG_MAXLEVELS];
555   GAMGKKTMat       kktMatsArr[GAMG_MAXLEVELS];
556   PetscLogDouble   nnz0=0.,nnztot=0.;
557   MatInfo          info;
558   PetscBool        stokes = PETSC_FALSE;
559 
560   PetscFunctionBegin;
561   ierr = MPI_Comm_rank(wcomm,&mype);CHKERRQ(ierr);
562   ierr = MPI_Comm_size(wcomm,&npe);CHKERRQ(ierr);
563   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);
564   if( pc_gamg->setup_count++ > 0 ) {
565     PC_MG_Levels **mglevels = mg->levels;
566     /* just do Galerkin grids */
567     Mat B,dA,dB;
568     assert(pc->setupcalled);
569 
570     if( pc_gamg->Nlevels > 1 ) {
571       /* currently only handle case where mat and pmat are the same on coarser levels */
572       ierr = KSPGetOperators(mglevels[pc_gamg->Nlevels-1]->smoothd,&dA,&dB,PETSC_NULL);CHKERRQ(ierr);
573       /* (re)set to get dirty flag */
574       ierr = KSPSetOperators(mglevels[pc_gamg->Nlevels-1]->smoothd,dA,dB,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
575 
576       for (level=pc_gamg->Nlevels-2; level>-1; level--) {
577         /* the first time through the matrix structure has changed from repartitioning */
578         if( pc_gamg->setup_count==2 /*&& (pc_gamg->repart || level==0)*/) {
579           ierr = MatPtAP(dB,mglevels[level+1]->interpolate,MAT_INITIAL_MATRIX,1.0,&B);CHKERRQ(ierr);
580           ierr = MatDestroy(&mglevels[level]->A);CHKERRQ(ierr);
581           mglevels[level]->A = B;
582         }
583         else {
584           ierr = KSPGetOperators(mglevels[level]->smoothd,PETSC_NULL,&B,PETSC_NULL);CHKERRQ(ierr);
585           ierr = MatPtAP(dB,mglevels[level+1]->interpolate,MAT_REUSE_MATRIX,1.0,&B);CHKERRQ(ierr);
586         }
587         ierr = KSPSetOperators(mglevels[level]->smoothd,B,B,SAME_NONZERO_PATTERN); CHKERRQ(ierr);
588         dB = B;
589       }
590     }
591 
592     ierr = PCSetUp_MG( pc );CHKERRQ( ierr );
593 
594     /* PCSetUp_MG seems to insists on setting this to GMRES */
595     ierr = KSPSetType( mglevels[0]->smoothd, KSPPREONLY ); CHKERRQ(ierr);
596 
597     PetscFunctionReturn(0);
598   }
599   assert(pc->setupcalled == 0);
600 
601   ierr = PetscOptionsGetBool(((PetscObject)pc)->prefix,"-pc_fieldsplit_detect_saddle_point",&stokes,PETSC_NULL);CHKERRQ(ierr);
602 
603   ierr = GAMGKKTMatCreate( Pmat, stokes, &kktMatsArr[0] ); CHKERRQ(ierr);
604 
605   if( pc_gamg->data == 0 ) {
606     if( !pc_gamg->createdefaultdata ){
607       SETERRQ(wcomm,PETSC_ERR_LIB,"'createdefaultdata' not set(?) need to support NULL data");
608     }
609     if( stokes ) {
610       SETERRQ(wcomm,PETSC_ERR_LIB,"Need data (eg, PCSetCoordinates) for Stokes problems");
611     }
612     ierr = pc_gamg->createdefaultdata( pc, kktMatsArr[0].A11 ); CHKERRQ(ierr);
613   }
614 
615   /* get basic dims */
616   if( stokes ) {
617     bs = pc_gamg->data_cell_rows; /* this is agg-mg specific */
618   }
619   else {
620     ierr = MatGetBlockSize( Pmat, &bs ); CHKERRQ(ierr);
621   }
622 
623   ierr = MatGetSize( Pmat, &M, &qq );CHKERRQ(ierr);
624   if (pc_gamg->verbose) {
625     if(pc_gamg->verbose==1) ierr =  MatGetInfo(Pmat,MAT_LOCAL,&info);
626     else ierr = MatGetInfo(Pmat,MAT_GLOBAL_SUM,&info);
627     CHKERRQ(ierr);
628     nnz0 = info.nz_used;
629     nnztot = info.nz_used;
630     PetscPrintf(wcomm,"\t[%d]%s level %d N=%d, n data rows=%d, n data cols=%d, nnz/row (ave)=%d, np=%d\n",
631                 mype,__FUNCT__,0,M,pc_gamg->data_cell_rows,pc_gamg->data_cell_cols,
632                 (int)(nnz0/(PetscReal)M),npe);
633   }
634 
635   /* Get A_i and R_i */
636   for ( level=0, Aarr[0]=Pmat, nactivepe = npe; /* hard wired stopping logic */
637         level < (pc_gamg->Nlevels-1) && (level==0 || M>pc_gamg->coarse_eq_limit); /* && (npe==1 || nactivepe>1); */
638         level++ ){
639     level1 = level + 1;
640 #if defined PETSC_GAMG_USE_LOG
641     ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET1],0,0,0,0); CHKERRQ(ierr);
642 #if (defined GAMG_STAGES)
643     ierr = PetscLogStagePush(gamg_stages[level]); CHKERRQ( ierr );
644 #endif
645 #endif
646     /* deal with Stokes, get sub matrices */
647     if( level > 0 ) {
648       ierr = GAMGKKTMatCreate( Aarr[level], stokes, &kktMatsArr[level] ); CHKERRQ(ierr);
649     }
650     { /* construct prolongator */
651       Mat Gmat;
652       PetscCoarsenData *agg_lists;
653       Mat Prol11,Prol22;
654 
655       level_bs[level] = bs;
656       ierr = pc_gamg->graph( pc,kktMatsArr[level].A11, &Gmat ); CHKERRQ(ierr);
657       ierr = pc_gamg->coarsen( pc, &Gmat, &agg_lists ); CHKERRQ(ierr);
658       ierr = pc_gamg->prolongator( pc, kktMatsArr[level].A11, Gmat, agg_lists, &Prol11 ); CHKERRQ(ierr);
659 
660       /* could have failed to create new level */
661       if( Prol11 ){
662         /* get new block size of coarse matrices */
663         ierr = MatGetBlockSizes( Prol11, PETSC_NULL, &bs ); CHKERRQ(ierr);
664 
665         if( stokes ) {
666           if(!pc_gamg->formkktprol) SETERRQ(wcomm,PETSC_ERR_USER,"Stokes not supportd by AMG method.");
667           /* R A12 == (T = A21 P)';  G = T' T; coarsen G; form plain agg with G */
668           ierr = pc_gamg->formkktprol( pc, Prol11, kktMatsArr[level].A21, &Prol22 ); CHKERRQ(ierr);
669         }
670 
671         if( pc_gamg->optprol ){
672           /* smooth */
673           ierr = pc_gamg->optprol( pc, kktMatsArr[level].A11, &Prol11 ); CHKERRQ(ierr);
674         }
675 
676         if( stokes ) {
677           IS is_row[2] = {kktMatsArr[level].prim_is,kktMatsArr[level].constr_is};
678           Mat a[4] = {Prol11, PETSC_NULL, PETSC_NULL, Prol22 };
679           ierr = MatCreateNest(wcomm,2,is_row, 2, is_row, a, &Parr[level1] ); CHKERRQ(ierr);
680         }
681         else {
682           Parr[level1] = Prol11;
683         }
684       }
685       else Parr[level1] = PETSC_NULL;
686 
687       if ( pc_gamg->use_aggs_in_gasm ) {
688         ierr = PetscCDGetASMBlocks(agg_lists, level_bs[level], &nASMBlocksArr[level], &ASMLocalIDsArr[level] );  CHKERRQ(ierr);
689       }
690 
691       ierr = PetscCDGetRemovedIS( agg_lists, &removedEqs[level] );  CHKERRQ(ierr);
692 
693       ierr = MatDestroy( &Gmat );      CHKERRQ(ierr);
694       ierr = PetscCDDestroy( agg_lists );  CHKERRQ(ierr);
695     } /* construct prolongator scope */
696 #if defined PETSC_GAMG_USE_LOG
697     ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET1],0,0,0,0);CHKERRQ(ierr);
698 #endif
699     /* cache eigen estimate */
700     if( pc_gamg->emax_id != -1 ){
701       PetscBool flag;
702       ierr = PetscObjectComposedDataGetReal( (PetscObject)kktMatsArr[level].A11, pc_gamg->emax_id, emaxs[level], flag );
703       CHKERRQ( ierr );
704       if( !flag ) emaxs[level] = -1.;
705     }
706     else emaxs[level] = -1.;
707     if(level==0) Aarr[0] = Pmat; /* use Pmat for finest level setup */
708     if( !Parr[level1] ) {
709       if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s stop gridding, level %d\n",mype,__FUNCT__,level);
710       break;
711     }
712 #if defined PETSC_GAMG_USE_LOG
713     ierr = PetscLogEventBegin(petsc_gamg_setup_events[SET2],0,0,0,0);CHKERRQ(ierr);
714 #endif
715 
716     ierr = createLevel( pc, Aarr[level], bs, (PetscBool)(level==pc_gamg->Nlevels-2),
717                         stokes, &Parr[level1], &Aarr[level1], &nactivepe );
718     CHKERRQ(ierr);
719 
720 #if defined PETSC_GAMG_USE_LOG
721     ierr = PetscLogEventEnd(petsc_gamg_setup_events[SET2],0,0,0,0);CHKERRQ(ierr);
722 #endif
723     ierr = MatGetSize( Aarr[level1], &M, &qq );CHKERRQ(ierr);
724 
725     if (pc_gamg->verbose > 0){
726       PetscInt NN = M;
727       if(pc_gamg->verbose==1) {
728         ierr = MatGetInfo(Aarr[level1],MAT_LOCAL,&info); CHKERRQ(ierr);
729         ierr = MatGetLocalSize( Aarr[level1], &NN, &qq );
730       }
731       else ierr = MatGetInfo( Aarr[level1], MAT_GLOBAL_SUM, &info );
732 
733       CHKERRQ(ierr);
734       nnztot += info.nz_used;
735       PetscPrintf(wcomm,"\t\t[%d]%s %d) N=%d, n data cols=%d, nnz/row (ave)=%d, %d active pes\n",
736                   mype,__FUNCT__,(int)level1,M,pc_gamg->data_cell_cols,
737                   (int)(info.nz_used/(PetscReal)NN), nactivepe );
738       CHKERRQ(ierr);
739     }
740 
741     /* stop if one node -- could pull back for singular problems */
742     if( M/pc_gamg->data_cell_cols < 2 ) {
743       level++;
744       break;
745     }
746 #if (defined PETSC_GAMG_USE_LOG && defined GAMG_STAGES)
747     ierr = PetscLogStagePop(); CHKERRQ( ierr );
748 #endif
749   } /* levels */
750 
751   if( pc_gamg->data ) {
752     ierr = PetscFree( pc_gamg->data ); CHKERRQ( ierr );
753     pc_gamg->data = PETSC_NULL;
754   }
755 
756   if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s %d levels, grid complexity = %g\n",0,__FUNCT__,level+1,nnztot/nnz0);
757   pc_gamg->Nlevels = level + 1;
758   fine_level = level;
759   ierr = PCMGSetLevels(pc,pc_gamg->Nlevels,PETSC_NULL);CHKERRQ(ierr);
760 
761   /* simple setup */
762   if( !PETSC_TRUE ){
763     PC_MG_Levels **mglevels = mg->levels;
764     for (lidx=0,level=pc_gamg->Nlevels-1;
765          lidx<fine_level;
766          lidx++, level--){
767       ierr = PCMGSetInterpolation( pc, lidx+1, Parr[level] );CHKERRQ(ierr);
768       ierr = KSPSetOperators( mglevels[lidx]->smoothd, Aarr[level], Aarr[level], SAME_NONZERO_PATTERN );CHKERRQ(ierr);
769       ierr = MatDestroy( &Parr[level] );  CHKERRQ(ierr);
770       ierr = MatDestroy( &Aarr[level] );  CHKERRQ(ierr);
771     }
772     ierr = KSPSetOperators( mglevels[fine_level]->smoothd, Aarr[0], Aarr[0], SAME_NONZERO_PATTERN );   CHKERRQ(ierr);
773 
774     ierr = PCSetUp_MG( pc );  CHKERRQ( ierr );
775   }
776   else if( pc_gamg->Nlevels > 1 ) { /* don't setup MG if one level */
777     /* set default smoothers & set operators */
778     for ( lidx = 1, level = pc_gamg->Nlevels-2;
779           lidx <= fine_level;
780           lidx++, level--) {
781       KSP smoother;
782       PC subpc;
783 
784       ierr = PCMGGetSmoother( pc, lidx, &smoother ); CHKERRQ(ierr);
785       ierr = KSPGetPC( smoother, &subpc ); CHKERRQ(ierr);
786 
787       ierr = KSPSetNormType( smoother, KSP_NORM_NONE ); CHKERRQ(ierr);
788       /* set ops */
789       ierr = KSPSetOperators( smoother, Aarr[level], Aarr[level], SAME_NONZERO_PATTERN );   CHKERRQ(ierr);
790       ierr = PCMGSetInterpolation( pc, lidx, Parr[level+1] );CHKERRQ(ierr);
791 
792       /* create field split PC, get subsmoother */
793       if( stokes ) {
794         KSP *ksps;
795         PetscInt nn;
796         ierr = PCFieldSplitSetIS(subpc,"0",kktMatsArr[level].prim_is);   CHKERRQ(ierr);
797         ierr = PCFieldSplitSetIS(subpc,"1",kktMatsArr[level].constr_is); CHKERRQ(ierr);
798         ierr = PCFieldSplitGetSubKSP(subpc,&nn,&ksps); CHKERRQ(ierr);
799         smoother = ksps[0];
800         ierr = KSPGetPC( smoother, &subpc ); CHKERRQ(ierr);
801         ierr = PetscFree( ksps ); CHKERRQ(ierr);
802       }
803       ierr = GAMGKKTMatDestroy( &kktMatsArr[level] ); CHKERRQ(ierr);
804 
805       /* set defaults */
806       ierr = KSPSetType( smoother, KSPCHEBYSHEV );CHKERRQ(ierr);
807 
808       /* override defaults and command line args (!) */
809       if ( pc_gamg->use_aggs_in_gasm ) {
810         PetscInt sz;
811         IS *is;
812 
813         sz = nASMBlocksArr[level];
814         is = ASMLocalIDsArr[level];
815         ierr = PCSetType( subpc, PCGASM ); CHKERRQ(ierr);
816         if(sz==0){
817           IS is;
818           PetscInt my0,kk;
819           ierr = MatGetOwnershipRange( Aarr[level], &my0, &kk ); CHKERRQ(ierr);
820           ierr = ISCreateGeneral(PETSC_COMM_SELF, 1, &my0, PETSC_COPY_VALUES, &is ); CHKERRQ(ierr);
821           ierr = PCGASMSetSubdomains( subpc, 1, &is, PETSC_NULL ); CHKERRQ(ierr);
822           ierr = ISDestroy( &is ); CHKERRQ(ierr);
823         }
824         else {
825           PetscInt kk;
826           ierr = PCGASMSetSubdomains( subpc, sz, is, PETSC_NULL ); CHKERRQ(ierr);
827           for(kk=0;kk<sz;kk++){
828             ierr = ISDestroy( &is[kk] ); CHKERRQ(ierr);
829           }
830           ierr = PetscFree( is ); CHKERRQ(ierr);
831         }
832         ierr = PCGASMSetOverlap( subpc, 0 ); CHKERRQ(ierr);
833 
834         ASMLocalIDsArr[level] = PETSC_NULL;
835         nASMBlocksArr[level] = 0;
836         ierr = PCGASMSetType( subpc, PC_GASM_BASIC ); CHKERRQ(ierr);
837       }
838       else {
839         ierr = PCSetType( subpc, PCJACOBI ); CHKERRQ(ierr);
840       }
841     }
842     {
843       /* coarse grid */
844       KSP smoother,*k2; PC subpc,pc2; PetscInt ii,first;
845       Mat Lmat = Aarr[(level=pc_gamg->Nlevels-1)]; lidx = 0;
846       ierr = PCMGGetSmoother( pc, lidx, &smoother ); CHKERRQ(ierr);
847       ierr = KSPSetOperators( smoother, Lmat, Lmat, SAME_NONZERO_PATTERN ); CHKERRQ(ierr);
848       ierr = KSPSetNormType( smoother, KSP_NORM_NONE ); CHKERRQ(ierr);
849       ierr = KSPGetPC( smoother, &subpc ); CHKERRQ(ierr);
850       ierr = PCSetType( subpc, PCBJACOBI ); CHKERRQ(ierr);
851       ierr = PCSetUp( subpc ); CHKERRQ(ierr);
852       ierr = PCBJacobiGetSubKSP(subpc,&ii,&first,&k2);CHKERRQ(ierr);      assert(ii==1);
853       ierr = KSPGetPC(k2[0],&pc2);CHKERRQ(ierr);
854       ierr = PCSetType( pc2, PCLU ); CHKERRQ(ierr);
855     }
856 
857     /* should be called in PCSetFromOptions_GAMG(), but cannot be called prior to PCMGSetLevels() */
858     ierr = PetscObjectOptionsBegin( (PetscObject)pc );CHKERRQ(ierr);
859     ierr = PCSetFromOptions_MG( pc ); CHKERRQ(ierr);
860     ierr = PetscOptionsEnd();  CHKERRQ(ierr);
861     if (mg->galerkin != 2) SETERRQ(wcomm,PETSC_ERR_USER,"GAMG does Galerkin manually so the -pc_mg_galerkin option must not be used.");
862 
863     /* create cheby smoothers */
864     for ( lidx = 1, level = pc_gamg->Nlevels-2;
865           lidx <= fine_level;
866           lidx++, level--) {
867       KSP smoother;
868       PetscBool flag;
869       PC subpc;
870 
871       ierr = PCMGGetSmoother( pc, lidx, &smoother ); CHKERRQ(ierr);
872       ierr = KSPGetPC( smoother, &subpc ); CHKERRQ(ierr);
873 
874       /* create field split PC, get subsmoother */
875       if( stokes ) {
876         KSP *ksps;
877         PetscInt nn;
878         ierr = PCFieldSplitGetSubKSP(subpc,&nn,&ksps); CHKERRQ(ierr);
879         smoother = ksps[0];
880         ierr = KSPGetPC( smoother, &subpc ); CHKERRQ(ierr);
881         ierr = PetscFree( ksps );  CHKERRQ(ierr);
882       }
883 
884       /* do my own cheby */
885       ierr = PetscObjectTypeCompare( (PetscObject)smoother, KSPCHEBYSHEV, &flag ); CHKERRQ(ierr);
886       if( flag ) {
887         PetscReal emax, emin;
888         ierr = PetscObjectTypeCompare( (PetscObject)subpc, PCJACOBI, &flag ); CHKERRQ(ierr);
889         if( flag && emaxs[level] > 0.0 ) emax=emaxs[level]; /* eigen estimate only for diagnal PC */
890         else{ /* eigen estimate 'emax' */
891           KSP eksp; Mat Lmat = Aarr[level];
892           Vec bb, xx;
893 
894           ierr = MatGetVecs( Lmat, &bb, 0 );         CHKERRQ(ierr);
895           ierr = MatGetVecs( Lmat, &xx, 0 );         CHKERRQ(ierr);
896           {
897             PetscRandom    rctx;
898             ierr = PetscRandomCreate(wcomm,&rctx);CHKERRQ(ierr);
899             ierr = PetscRandomSetFromOptions(rctx);CHKERRQ(ierr);
900             ierr = VecSetRandom(bb,rctx);CHKERRQ(ierr);
901             ierr = PetscRandomDestroy( &rctx ); CHKERRQ(ierr);
902           }
903 
904           if( removedEqs[level] ) {
905             /* being very careful - zeroing out BC rows (this is not done in agg.c estimates) */
906             PetscScalar *zeros;
907             PetscInt ii,jj, *idx_bs, sz, bs=level_bs[level];
908             const PetscInt *idx;
909             ierr = ISGetLocalSize( removedEqs[level], &sz ); CHKERRQ(ierr);
910             ierr = PetscMalloc( bs*sz*sizeof(PetscScalar), &zeros ); CHKERRQ(ierr);
911             for(ii=0;ii<bs*sz;ii++) zeros[ii] = 0.;
912             ierr = PetscMalloc( bs*sz*sizeof(PetscInt), &idx_bs ); CHKERRQ(ierr);
913             ierr = ISGetIndices( removedEqs[level], &idx); CHKERRQ(ierr);
914             for(ii=0;ii<sz;ii++) {
915               for(jj=0;jj<bs;jj++) {
916                 idx_bs[ii] = bs*idx[ii]+jj;
917               }
918             }
919             ierr = ISRestoreIndices( removedEqs[level], &idx ); CHKERRQ(ierr);
920             if( sz > 0 ) {
921               ierr = VecSetValues( bb, sz, idx_bs, zeros, INSERT_VALUES );  CHKERRQ(ierr);
922             }
923             ierr = PetscFree( idx_bs );  CHKERRQ(ierr);
924             ierr = PetscFree( zeros );  CHKERRQ(ierr);
925             ierr = VecAssemblyBegin(bb); CHKERRQ(ierr);
926             ierr = VecAssemblyEnd(bb); CHKERRQ(ierr);
927           }
928           ierr = KSPCreate( wcomm, &eksp );CHKERRQ(ierr);
929           ierr = KSPSetTolerances( eksp, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT, 10 );
930           CHKERRQ(ierr);
931           ierr = KSPSetNormType( eksp, KSP_NORM_NONE );                 CHKERRQ(ierr);
932           ierr = KSPSetOptionsPrefix(eksp,((PetscObject)pc)->prefix);CHKERRQ(ierr);
933           ierr = KSPAppendOptionsPrefix( eksp, "gamg_est_");         CHKERRQ(ierr);
934           ierr = KSPSetFromOptions( eksp );    CHKERRQ(ierr);
935 
936           ierr = KSPSetInitialGuessNonzero( eksp, PETSC_FALSE ); CHKERRQ(ierr);
937           ierr = KSPSetOperators( eksp, Lmat, Lmat, SAME_NONZERO_PATTERN ); CHKERRQ( ierr );
938           ierr = KSPSetComputeSingularValues( eksp,PETSC_TRUE ); CHKERRQ(ierr);
939 
940           /* set PC type to be same as smoother */
941           ierr = KSPSetPC( eksp, subpc ); CHKERRQ( ierr );
942 
943           /* solve - keep stuff out of logging */
944           ierr = PetscLogEventDeactivate(KSP_Solve);CHKERRQ(ierr);
945           ierr = PetscLogEventDeactivate(PC_Apply);CHKERRQ(ierr);
946           ierr = KSPSolve( eksp, bb, xx ); CHKERRQ(ierr);
947           ierr = PetscLogEventActivate(KSP_Solve);CHKERRQ(ierr);
948           ierr = PetscLogEventActivate(PC_Apply);CHKERRQ(ierr);
949 
950           ierr = KSPComputeExtremeSingularValues( eksp, &emax, &emin ); CHKERRQ(ierr);
951 
952           ierr = VecDestroy( &xx );       CHKERRQ(ierr);
953           ierr = VecDestroy( &bb );       CHKERRQ(ierr);
954           ierr = KSPDestroy( &eksp );       CHKERRQ(ierr);
955 
956           if( pc_gamg->verbose > 0 ) {
957             PetscInt N1, tt;
958             ierr = MatGetSize( Aarr[level], &N1, &tt );         CHKERRQ(ierr);
959             PetscPrintf(wcomm,"\t\t\t%s PC setup max eigen=%e min=%e on level %d (N=%d)\n",__FUNCT__,emax,emin,lidx,N1);
960           }
961         }
962         {
963           PetscInt N1, N0;
964           ierr = MatGetSize( Aarr[level], &N1, PETSC_NULL );         CHKERRQ(ierr);
965           ierr = MatGetSize( Aarr[level+1], &N0, PETSC_NULL );       CHKERRQ(ierr);
966           /* heuristic - is this crap? */
967           emin = 1.*emax/((PetscReal)N1/(PetscReal)N0);
968           emax *= 1.05;
969         }
970         ierr = KSPChebyshevSetEigenvalues( smoother, emax, emin );CHKERRQ(ierr);
971       } /* setup checby flag */
972 
973       if( removedEqs[level] ) {
974         ierr = ISDestroy( &removedEqs[level] );                    CHKERRQ(ierr);
975       }
976     } /* non-coarse levels */
977 
978     /* clean up */
979     for(level=1;level<pc_gamg->Nlevels;level++){
980       ierr = MatDestroy( &Parr[level] );  CHKERRQ(ierr);
981       ierr = MatDestroy( &Aarr[level] );  CHKERRQ(ierr);
982     }
983 
984     ierr = PCSetUp_MG( pc );CHKERRQ( ierr );
985 
986     if( PETSC_FALSE ){
987       KSP smoother;  /* PCSetUp_MG seems to insists on setting this to GMRES on coarse grid */
988       ierr = PCMGGetSmoother( pc, 0, &smoother ); CHKERRQ(ierr);
989       ierr = KSPSetType( smoother, KSPPREONLY ); CHKERRQ(ierr);
990     }
991   }
992   else {
993     KSP smoother;
994     if (pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s one level solver used (system is seen as DD). Using default solver.\n",mype,__FUNCT__);
995     ierr = PCMGGetSmoother( pc, 0, &smoother ); CHKERRQ(ierr);
996     ierr = KSPSetOperators( smoother, Aarr[0], Aarr[0], SAME_NONZERO_PATTERN );   CHKERRQ(ierr);
997     ierr = KSPSetType( smoother, KSPPREONLY ); CHKERRQ(ierr);
998     ierr = PCSetUp_MG( pc );CHKERRQ( ierr );
999   }
1000 
1001   PetscFunctionReturn(0);
1002 }
1003 
1004 /* ------------------------------------------------------------------------- */
1005 /*
1006  PCDestroy_GAMG - Destroys the private context for the GAMG preconditioner
1007    that was created with PCCreate_GAMG().
1008 
1009    Input Parameter:
1010 .  pc - the preconditioner context
1011 
1012    Application Interface Routine: PCDestroy()
1013 */
1014 #undef __FUNCT__
1015 #define __FUNCT__ "PCDestroy_GAMG"
1016 PetscErrorCode PCDestroy_GAMG( PC pc )
1017 {
1018   PetscErrorCode  ierr;
1019   PC_MG           *mg = (PC_MG*)pc->data;
1020   PC_GAMG         *pc_gamg= (PC_GAMG*)mg->innerctx;
1021 
1022   PetscFunctionBegin;
1023   ierr = PCReset_GAMG( pc );CHKERRQ(ierr);
1024   ierr = PetscFree( pc_gamg );CHKERRQ(ierr);
1025   ierr = PCDestroy_MG( pc );CHKERRQ(ierr);
1026   PetscFunctionReturn(0);
1027 }
1028 
1029 
1030 #undef __FUNCT__
1031 #define __FUNCT__ "PCGAMGSetProcEqLim"
1032 /*@
1033    PCGAMGSetProcEqLim - Set number of equations to aim for on coarse grids via
1034    processor reduction.
1035 
1036    Not Collective on PC
1037 
1038    Input Parameters:
1039 .  pc - the preconditioner context
1040 
1041 
1042    Options Database Key:
1043 .  -pc_gamg_process_eq_limit
1044 
1045    Level: intermediate
1046 
1047    Concepts: Unstructured multrigrid preconditioner
1048 
1049 .seealso: ()
1050 @*/
1051 PetscErrorCode  PCGAMGSetProcEqLim(PC pc, PetscInt n)
1052 {
1053   PetscErrorCode ierr;
1054 
1055   PetscFunctionBegin;
1056   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1057   ierr = PetscTryMethod(pc,"PCGAMGSetProcEqLim_C",(PC,PetscInt),(pc,n));CHKERRQ(ierr);
1058   PetscFunctionReturn(0);
1059 }
1060 
1061 EXTERN_C_BEGIN
1062 #undef __FUNCT__
1063 #define __FUNCT__ "PCGAMGSetProcEqLim_GAMG"
1064 PetscErrorCode PCGAMGSetProcEqLim_GAMG(PC pc, PetscInt n)
1065 {
1066   PC_MG           *mg = (PC_MG*)pc->data;
1067   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1068 
1069   PetscFunctionBegin;
1070   if(n>0) pc_gamg->min_eq_proc = n;
1071   PetscFunctionReturn(0);
1072 }
1073 EXTERN_C_END
1074 
1075 #undef __FUNCT__
1076 #define __FUNCT__ "PCGAMGSetCoarseEqLim"
1077 /*@
1078    PCGAMGSetCoarseEqLim - Set max number of equations on coarse grids.
1079 
1080  Collective on PC
1081 
1082    Input Parameters:
1083 .  pc - the preconditioner context
1084 
1085 
1086    Options Database Key:
1087 .  -pc_gamg_coarse_eq_limit
1088 
1089    Level: intermediate
1090 
1091    Concepts: Unstructured multrigrid preconditioner
1092 
1093 .seealso: ()
1094  @*/
1095 PetscErrorCode PCGAMGSetCoarseEqLim(PC pc, PetscInt n)
1096 {
1097   PetscErrorCode ierr;
1098 
1099   PetscFunctionBegin;
1100   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1101   ierr = PetscTryMethod(pc,"PCGAMGSetCoarseEqLim_C",(PC,PetscInt),(pc,n));CHKERRQ(ierr);
1102   PetscFunctionReturn(0);
1103 }
1104 
1105 EXTERN_C_BEGIN
1106 #undef __FUNCT__
1107 #define __FUNCT__ "PCGAMGSetCoarseEqLim_GAMG"
1108 PetscErrorCode PCGAMGSetCoarseEqLim_GAMG(PC pc, PetscInt n)
1109 {
1110   PC_MG           *mg = (PC_MG*)pc->data;
1111   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1112 
1113   PetscFunctionBegin;
1114   if(n>0) pc_gamg->coarse_eq_limit = n;
1115   PetscFunctionReturn(0);
1116 }
1117 EXTERN_C_END
1118 
1119 #undef __FUNCT__
1120 #define __FUNCT__ "PCGAMGSetRepartitioning"
1121 /*@
1122    PCGAMGSetRepartitioning - Repartition the coarse grids
1123 
1124    Collective on PC
1125 
1126    Input Parameters:
1127 .  pc - the preconditioner context
1128 
1129 
1130    Options Database Key:
1131 .  -pc_gamg_repartition
1132 
1133    Level: intermediate
1134 
1135    Concepts: Unstructured multrigrid preconditioner
1136 
1137 .seealso: ()
1138 @*/
1139 PetscErrorCode PCGAMGSetRepartitioning(PC pc, PetscBool n)
1140 {
1141   PetscErrorCode ierr;
1142 
1143   PetscFunctionBegin;
1144   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1145   ierr = PetscTryMethod(pc,"PCGAMGSetRepartitioning_C",(PC,PetscBool),(pc,n));CHKERRQ(ierr);
1146   PetscFunctionReturn(0);
1147 }
1148 
1149 EXTERN_C_BEGIN
1150 #undef __FUNCT__
1151 #define __FUNCT__ "PCGAMGSetRepartitioning_GAMG"
1152 PetscErrorCode PCGAMGSetRepartitioning_GAMG(PC pc, PetscBool n)
1153 {
1154   PC_MG           *mg = (PC_MG*)pc->data;
1155   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1156 
1157   PetscFunctionBegin;
1158   pc_gamg->repart = n;
1159   PetscFunctionReturn(0);
1160 }
1161 EXTERN_C_END
1162 
1163 #undef __FUNCT__
1164 #define __FUNCT__ "PCGAMGSetUseASMAggs"
1165 /*@
1166    PCGAMGSetUseASMAggs -
1167 
1168    Collective on PC
1169 
1170    Input Parameters:
1171 .  pc - the preconditioner context
1172 
1173 
1174    Options Database Key:
1175 .  -pc_gamg_use_agg_gasm
1176 
1177    Level: intermediate
1178 
1179    Concepts: Unstructured multrigrid preconditioner
1180 
1181 .seealso: ()
1182 @*/
1183 PetscErrorCode PCGAMGSetUseASMAggs(PC pc, PetscBool n)
1184 {
1185   PetscErrorCode ierr;
1186 
1187   PetscFunctionBegin;
1188   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1189   ierr = PetscTryMethod(pc,"PCGAMGSetUseASMAggs_C",(PC,PetscBool),(pc,n));CHKERRQ(ierr);
1190   PetscFunctionReturn(0);
1191 }
1192 
1193 EXTERN_C_BEGIN
1194 #undef __FUNCT__
1195 #define __FUNCT__ "PCGAMGSetUseASMAggs_GAMG"
1196 PetscErrorCode PCGAMGSetUseASMAggs_GAMG(PC pc, PetscBool n)
1197 {
1198   PC_MG           *mg = (PC_MG*)pc->data;
1199   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1200 
1201   PetscFunctionBegin;
1202   pc_gamg->use_aggs_in_gasm = n;
1203   PetscFunctionReturn(0);
1204 }
1205 EXTERN_C_END
1206 
1207 #undef __FUNCT__
1208 #define __FUNCT__ "PCGAMGSetNlevels"
1209 /*@
1210    PCGAMGSetNlevels -
1211 
1212    Not collective on PC
1213 
1214    Input Parameters:
1215 .  pc - the preconditioner context
1216 
1217 
1218    Options Database Key:
1219 .  -pc_mg_levels
1220 
1221    Level: intermediate
1222 
1223    Concepts: Unstructured multrigrid preconditioner
1224 
1225 .seealso: ()
1226 @*/
1227 PetscErrorCode PCGAMGSetNlevels(PC pc, PetscInt n)
1228 {
1229   PetscErrorCode ierr;
1230 
1231   PetscFunctionBegin;
1232   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1233   ierr = PetscTryMethod(pc,"PCGAMGSetNlevels_C",(PC,PetscInt),(pc,n));CHKERRQ(ierr);
1234   PetscFunctionReturn(0);
1235 }
1236 
1237 EXTERN_C_BEGIN
1238 #undef __FUNCT__
1239 #define __FUNCT__ "PCGAMGSetNlevels_GAMG"
1240 PetscErrorCode PCGAMGSetNlevels_GAMG(PC pc, PetscInt n)
1241 {
1242   PC_MG           *mg = (PC_MG*)pc->data;
1243   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1244 
1245   PetscFunctionBegin;
1246   pc_gamg->Nlevels = n;
1247   PetscFunctionReturn(0);
1248 }
1249 EXTERN_C_END
1250 
1251 #undef __FUNCT__
1252 #define __FUNCT__ "PCGAMGSetThreshold"
1253 /*@
1254    PCGAMGSetThreshold - Relative threshold to use for dropping edges in aggregation graph
1255 
1256    Not collective on PC
1257 
1258    Input Parameters:
1259 .  pc - the preconditioner context
1260 
1261 
1262    Options Database Key:
1263 .  -pc_gamg_threshold
1264 
1265    Level: intermediate
1266 
1267    Concepts: Unstructured multrigrid preconditioner
1268 
1269 .seealso: ()
1270 @*/
1271 PetscErrorCode PCGAMGSetThreshold(PC pc, PetscReal n)
1272 {
1273   PetscErrorCode ierr;
1274 
1275   PetscFunctionBegin;
1276   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1277   ierr = PetscTryMethod(pc,"PCGAMGSetThreshold_C",(PC,PetscReal),(pc,n));CHKERRQ(ierr);
1278   PetscFunctionReturn(0);
1279 }
1280 
1281 EXTERN_C_BEGIN
1282 #undef __FUNCT__
1283 #define __FUNCT__ "PCGAMGSetThreshold_GAMG"
1284 PetscErrorCode PCGAMGSetThreshold_GAMG(PC pc, PetscReal n)
1285 {
1286   PC_MG           *mg = (PC_MG*)pc->data;
1287   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1288 
1289   PetscFunctionBegin;
1290   pc_gamg->threshold = n;
1291   PetscFunctionReturn(0);
1292 }
1293 EXTERN_C_END
1294 
1295 #undef __FUNCT__
1296 #define __FUNCT__ "PCGAMGSetType"
1297 /*@
1298    PCGAMGSetType - Set solution method - calls sub create method
1299 
1300    Collective on PC
1301 
1302    Input Parameters:
1303 .  pc - the preconditioner context
1304 
1305 
1306    Options Database Key:
1307 .  -pc_gamg_type
1308 
1309    Level: intermediate
1310 
1311    Concepts: Unstructured multrigrid preconditioner
1312 
1313 .seealso: ()
1314 @*/
1315 PetscErrorCode PCGAMGSetType( PC pc, const PCGAMGType type )
1316 {
1317   PetscErrorCode ierr;
1318 
1319   PetscFunctionBegin;
1320   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1321   ierr = PetscTryMethod(pc,"PCGAMGSetType_C",(PC,const PCGAMGType),(pc,type));
1322   CHKERRQ(ierr);
1323   PetscFunctionReturn(0);
1324 }
1325 
1326 EXTERN_C_BEGIN
1327 #undef __FUNCT__
1328 #define __FUNCT__ "PCGAMGSetType_GAMG"
1329 PetscErrorCode PCGAMGSetType_GAMG( PC pc, const PCGAMGType type )
1330 {
1331   PetscErrorCode ierr,(*r)(PC);
1332 
1333   PetscFunctionBegin;
1334   ierr = PetscFListFind(GAMGList,((PetscObject)pc)->comm,type,PETSC_FALSE,(PetscVoidStarFunction)&r);
1335   CHKERRQ(ierr);
1336 
1337   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown GAMG type %s given",type);
1338 
1339   /* call sub create method */
1340   ierr = (*r)(pc); CHKERRQ(ierr);
1341 
1342   PetscFunctionReturn(0);
1343 }
1344 EXTERN_C_END
1345 
1346 #undef __FUNCT__
1347 #define __FUNCT__ "PCSetFromOptions_GAMG"
1348 PetscErrorCode PCSetFromOptions_GAMG( PC pc )
1349 {
1350   PetscErrorCode  ierr;
1351   PC_MG           *mg = (PC_MG*)pc->data;
1352   PC_GAMG         *pc_gamg = (PC_GAMG*)mg->innerctx;
1353   PetscBool        flag;
1354   MPI_Comm         wcomm = ((PetscObject)pc)->comm;
1355 
1356   PetscFunctionBegin;
1357   ierr = PetscOptionsHead("GAMG options"); CHKERRQ(ierr);
1358   {
1359     /* -pc_gamg_verbose */
1360     ierr = PetscOptionsInt("-pc_gamg_verbose","Verbose (debugging) output for PCGAMG",
1361                            "none", pc_gamg->verbose,
1362                            &pc_gamg->verbose, PETSC_NULL );
1363     CHKERRQ(ierr);
1364 
1365     /* -pc_gamg_repartition */
1366     ierr = PetscOptionsBool("-pc_gamg_repartition",
1367                             "Repartion coarse grids (false)",
1368                             "PCGAMGRepartitioning",
1369                             pc_gamg->repart,
1370                             &pc_gamg->repart,
1371                             &flag);
1372     CHKERRQ(ierr);
1373 
1374     /* -pc_gamg_use_agg_gasm */
1375     ierr = PetscOptionsBool("-pc_gamg_use_agg_gasm",
1376                             "Use aggregation agragates for GASM smoother (false)",
1377                             "PCGAMGUseASMAggs",
1378                             pc_gamg->use_aggs_in_gasm,
1379                             &pc_gamg->use_aggs_in_gasm,
1380                             &flag);
1381     CHKERRQ(ierr);
1382 
1383     /* -pc_gamg_process_eq_limit */
1384     ierr = PetscOptionsInt("-pc_gamg_process_eq_limit",
1385                            "Limit (goal) on number of equations per process on coarse grids",
1386                            "PCGAMGSetProcEqLim",
1387                            pc_gamg->min_eq_proc,
1388                            &pc_gamg->min_eq_proc,
1389                            &flag );
1390     CHKERRQ(ierr);
1391 
1392     /* -pc_gamg_coarse_eq_limit */
1393     ierr = PetscOptionsInt("-pc_gamg_coarse_eq_limit",
1394                            "Limit on number of equations for the coarse grid",
1395                            "PCGAMGSetCoarseEqLim",
1396                            pc_gamg->coarse_eq_limit,
1397                            &pc_gamg->coarse_eq_limit,
1398                            &flag );
1399     CHKERRQ(ierr);
1400 
1401     /* -pc_gamg_threshold */
1402     ierr = PetscOptionsReal("-pc_gamg_threshold",
1403                             "Relative threshold to use for dropping edges in aggregation graph",
1404                             "PCGAMGSetThreshold",
1405                             pc_gamg->threshold,
1406                             &pc_gamg->threshold,
1407                             &flag );
1408     CHKERRQ(ierr);
1409     if(flag && pc_gamg->verbose) PetscPrintf(wcomm,"\t[%d]%s threshold set %e\n",0,__FUNCT__,pc_gamg->threshold);
1410 
1411     ierr = PetscOptionsInt("-pc_mg_levels",
1412                            "Set number of MG levels",
1413                            "PCGAMGSetNlevels",
1414                            pc_gamg->Nlevels,
1415                            &pc_gamg->Nlevels,
1416                            &flag );
1417   }
1418   ierr = PetscOptionsTail();CHKERRQ(ierr);
1419 
1420   PetscFunctionReturn(0);
1421 }
1422 
1423 /* -------------------------------------------------------------------------- */
1424 /*MC
1425      PCGAMG - Geometric algebraic multigrid (AMG) preconditioning framework.
1426        - This is the entry point to GAMG, registered in pcregis.c
1427 
1428    Options Database Keys:
1429    Multigrid options(inherited)
1430 +  -pc_mg_cycles <1>: 1 for V cycle, 2 for W-cycle (PCMGSetCycleType)
1431 .  -pc_mg_smoothup <1>: Number of post-smoothing steps (PCMGSetNumberSmoothUp)
1432 .  -pc_mg_smoothdown <1>: Number of pre-smoothing steps (PCMGSetNumberSmoothDown)
1433 -  -pc_mg_type <multiplicative>: (one of) additive multiplicative full cascade kascade
1434 
1435   Level: intermediate
1436 
1437   Concepts: multigrid
1438 
1439 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC, PCMGType,
1440            PCMGSetLevels(), PCMGGetLevels(), PCMGSetType(), PCMGSetCycleType(), PCMGSetNumberSmoothDown(),
1441            PCMGSetNumberSmoothUp(), PCMGGetCoarseSolve(), PCMGSetResidual(), PCMGSetInterpolation(),
1442            PCMGSetRestriction(), PCMGGetSmoother(), PCMGGetSmootherUp(), PCMGGetSmootherDown(),
1443            PCMGSetCyclesOnLevel(), PCMGSetRhs(), PCMGSetX(), PCMGSetR()
1444 M*/
1445 EXTERN_C_BEGIN
1446 #undef __FUNCT__
1447 #define __FUNCT__ "PCCreate_GAMG"
1448 PetscErrorCode  PCCreate_GAMG( PC pc )
1449 {
1450   PetscErrorCode  ierr;
1451   PC_GAMG         *pc_gamg;
1452   PC_MG           *mg;
1453 #if defined PETSC_GAMG_USE_LOG
1454   static long count = 0;
1455 #endif
1456 
1457   PetscFunctionBegin;
1458 
1459   /* PCGAMG is an inherited class of PCMG. Initialize pc as PCMG */
1460   ierr = PCSetType( pc, PCMG );  CHKERRQ(ierr); /* calls PCCreate_MG() and MGCreate_Private() */
1461   ierr = PetscObjectChangeTypeName( (PetscObject)pc, PCGAMG ); CHKERRQ(ierr);
1462 
1463   /* create a supporting struct and attach it to pc */
1464   ierr = PetscNewLog( pc, PC_GAMG, &pc_gamg ); CHKERRQ(ierr);
1465   mg = (PC_MG*)pc->data;
1466   mg->galerkin = 2;             /* Use Galerkin, but it is computed externally */
1467   mg->innerctx = pc_gamg;
1468 
1469   pc_gamg->setup_count = 0;
1470   /* these should be in subctx but repartitioning needs simple arrays */
1471   pc_gamg->data_sz = 0;
1472   pc_gamg->data = 0;
1473 
1474   /* register AMG type */
1475   if( !GAMGList ){
1476     ierr = PetscFListAdd(&GAMGList,GAMGGEO,"PCCreateGAMG_GEO",(void(*)(void))PCCreateGAMG_GEO);CHKERRQ(ierr);
1477     ierr = PetscFListAdd(&GAMGList,GAMGAGG,"PCCreateGAMG_AGG",(void(*)(void))PCCreateGAMG_AGG);CHKERRQ(ierr);
1478   }
1479 
1480   /* overwrite the pointers of PCMG by the functions of base class PCGAMG */
1481   pc->ops->setfromoptions = PCSetFromOptions_GAMG;
1482   pc->ops->setup          = PCSetUp_GAMG;
1483   pc->ops->reset          = PCReset_GAMG;
1484   pc->ops->destroy        = PCDestroy_GAMG;
1485 
1486   ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc,
1487 					    "PCGAMGSetProcEqLim_C",
1488 					    "PCGAMGSetProcEqLim_GAMG",
1489 					    PCGAMGSetProcEqLim_GAMG);
1490   CHKERRQ(ierr);
1491 
1492   ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc,
1493 					    "PCGAMGSetCoarseEqLim_C",
1494 					    "PCGAMGSetCoarseEqLim_GAMG",
1495 					    PCGAMGSetCoarseEqLim_GAMG);
1496   CHKERRQ(ierr);
1497 
1498   ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc,
1499 					    "PCGAMGSetRepartitioning_C",
1500 					    "PCGAMGSetRepartitioning_GAMG",
1501 					    PCGAMGSetRepartitioning_GAMG);
1502   CHKERRQ(ierr);
1503 
1504   ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc,
1505 					    "PCGAMGSetUseASMAggs_C",
1506 					    "PCGAMGSetUseASMAggs_GAMG",
1507 					    PCGAMGSetUseASMAggs_GAMG);
1508   CHKERRQ(ierr);
1509 
1510   ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc,
1511 					    "PCGAMGSetThreshold_C",
1512 					    "PCGAMGSetThreshold_GAMG",
1513 					    PCGAMGSetThreshold_GAMG);
1514   CHKERRQ(ierr);
1515 
1516   ierr = PetscObjectComposeFunctionDynamic( (PetscObject)pc,
1517 					    "PCGAMGSetType_C",
1518 					    "PCGAMGSetType_GAMG",
1519 					    PCGAMGSetType_GAMG);
1520   CHKERRQ(ierr);
1521 
1522   pc_gamg->repart = PETSC_FALSE;
1523   pc_gamg->use_aggs_in_gasm = PETSC_FALSE;
1524   pc_gamg->min_eq_proc = 100;
1525   pc_gamg->coarse_eq_limit = 800;
1526   pc_gamg->threshold = 0.001;
1527   pc_gamg->Nlevels = GAMG_MAXLEVELS;
1528   pc_gamg->verbose = 0;
1529   pc_gamg->emax_id = -1;
1530 
1531   /* private events */
1532 #if defined PETSC_GAMG_USE_LOG
1533   if( count++ == 0 ) {
1534     PetscLogEventRegister("GAMG: createProl", PC_CLASSID, &petsc_gamg_setup_events[SET1]);
1535     PetscLogEventRegister("  Graph", PC_CLASSID, &petsc_gamg_setup_events[GRAPH]);
1536     /* PetscLogEventRegister("    G.Mat", PC_CLASSID, &petsc_gamg_setup_events[GRAPH_MAT]); */
1537     /* PetscLogEventRegister("    G.Filter", PC_CLASSID, &petsc_gamg_setup_events[GRAPH_FILTER]); */
1538     /* PetscLogEventRegister("    G.Square", PC_CLASSID, &petsc_gamg_setup_events[GRAPH_SQR]); */
1539     PetscLogEventRegister("  MIS/Agg", PC_CLASSID, &petsc_gamg_setup_events[SET4]);
1540     PetscLogEventRegister("  geo: growSupp", PC_CLASSID, &petsc_gamg_setup_events[SET5]);
1541     PetscLogEventRegister("  geo: triangle", PC_CLASSID, &petsc_gamg_setup_events[SET6]);
1542     PetscLogEventRegister("    search&set", PC_CLASSID, &petsc_gamg_setup_events[FIND_V]);
1543     PetscLogEventRegister("  SA: col data", PC_CLASSID, &petsc_gamg_setup_events[SET7]);
1544     PetscLogEventRegister("  SA: frmProl0", PC_CLASSID, &petsc_gamg_setup_events[SET8]);
1545     PetscLogEventRegister("  SA: smooth", PC_CLASSID, &petsc_gamg_setup_events[SET9]);
1546     PetscLogEventRegister("GAMG: partLevel", PC_CLASSID, &petsc_gamg_setup_events[SET2]);
1547     PetscLogEventRegister("  repartition", PC_CLASSID, &petsc_gamg_setup_events[SET12]);
1548     PetscLogEventRegister("  Invert-Sort", PC_CLASSID, &petsc_gamg_setup_events[SET13]);
1549     PetscLogEventRegister("  Move A", PC_CLASSID, &petsc_gamg_setup_events[SET14]);
1550     PetscLogEventRegister("  Move P", PC_CLASSID, &petsc_gamg_setup_events[SET15]);
1551 
1552     /* PetscLogEventRegister(" PL move data", PC_CLASSID, &petsc_gamg_setup_events[SET13]); */
1553     /* PetscLogEventRegister("GAMG: fix", PC_CLASSID, &petsc_gamg_setup_events[SET10]); */
1554     /* PetscLogEventRegister("GAMG: set levels", PC_CLASSID, &petsc_gamg_setup_events[SET11]); */
1555     /* create timer stages */
1556 #if defined GAMG_STAGES
1557     {
1558       char str[32];
1559       sprintf(str,"MG Level %d (finest)",0);
1560       PetscLogStageRegister(str, &gamg_stages[0]);
1561       PetscInt lidx;
1562       for (lidx=1;lidx<9;lidx++){
1563 	sprintf(str,"MG Level %d",lidx);
1564 	PetscLogStageRegister(str, &gamg_stages[lidx]);
1565       }
1566     }
1567 #endif
1568   }
1569 #endif
1570   /* general events */
1571 #if defined PETSC_USE_LOG
1572   PetscLogEventRegister("PCGAMGgraph_AGG", 0, &PC_GAMGGgraph_AGG);
1573   PetscLogEventRegister("PCGAMGgraph_GEO", PC_CLASSID, &PC_GAMGGgraph_GEO);
1574   PetscLogEventRegister("PCGAMGcoarse_AGG", PC_CLASSID, &PC_GAMGCoarsen_AGG);
1575   PetscLogEventRegister("PCGAMGcoarse_GEO", PC_CLASSID, &PC_GAMGCoarsen_GEO);
1576   PetscLogEventRegister("PCGAMGProl_AGG", PC_CLASSID, &PC_GAMGProlongator_AGG);
1577   PetscLogEventRegister("PCGAMGProl_GEO", PC_CLASSID, &PC_GAMGProlongator_GEO);
1578   PetscLogEventRegister("PCGAMGPOpt_AGG", PC_CLASSID, &PC_GAMGOptprol_AGG);
1579   PetscLogEventRegister("GAMGKKTProl_AGG", PC_CLASSID, &PC_GAMGKKTProl_AGG);
1580 #endif
1581 
1582   /* instantiate derived type */
1583   ierr = PetscOptionsHead("GAMG options"); CHKERRQ(ierr);
1584   {
1585     char tname[256] = GAMGAGG;
1586     ierr = PetscOptionsList("-pc_gamg_type","Type of GAMG method","PCGAMGSetType",
1587                             GAMGList, tname, tname, sizeof(tname), PETSC_NULL );
1588     CHKERRQ(ierr);
1589     ierr = PCGAMGSetType( pc, tname ); CHKERRQ(ierr);
1590   }
1591   ierr = PetscOptionsTail();   CHKERRQ(ierr);
1592 
1593   PetscFunctionReturn(0);
1594 }
1595 EXTERN_C_END
1596