xref: /petsc/src/mat/graphops/coarsen/impls/hem/hem.c (revision 834855d6effb0d027771461c8e947ee1ce5a1e17) !
1 #include <petsc/private/matimpl.h> /*I "petscmat.h" I*/
2 #include <../src/mat/impls/aij/seq/aij.h>
3 #include <../src/mat/impls/aij/mpi/mpiaij.h>
4 #include <petscdm.h>
5 
6 /* linked list methods
7  *
8  *  PetscCDCreate
9  */
PetscCDCreate(PetscInt a_size,PetscCoarsenData ** a_out)10 PetscErrorCode PetscCDCreate(PetscInt a_size, PetscCoarsenData **a_out)
11 {
12   PetscCoarsenData *ail;
13 
14   PetscFunctionBegin;
15   /* allocate pool, partially */
16   PetscCall(PetscNew(&ail));
17   *a_out               = ail;
18   ail->pool_list.next  = NULL;
19   ail->pool_list.array = NULL;
20   ail->chk_sz          = 0;
21   /* allocate array */
22   ail->size = a_size;
23   PetscCall(PetscCalloc1(a_size, &ail->array));
24   ail->extra_nodes = NULL;
25   ail->mat         = NULL;
26   PetscFunctionReturn(PETSC_SUCCESS);
27 }
28 
29 /* PetscCDDestroy
30  */
PetscCDDestroy(PetscCoarsenData * ail)31 PetscErrorCode PetscCDDestroy(PetscCoarsenData *ail)
32 {
33   PetscCDArrNd *n = &ail->pool_list;
34 
35   PetscFunctionBegin;
36   n = n->next;
37   while (n) {
38     PetscCDArrNd *lstn = n;
39 
40     n = n->next;
41     PetscCall(PetscFree(lstn));
42   }
43   if (ail->pool_list.array) PetscCall(PetscFree(ail->pool_list.array));
44   PetscCall(PetscFree(ail->array));
45   if (ail->mat) PetscCall(MatDestroy(&ail->mat));
46   /* delete this (+agg+pool array) */
47   PetscCall(PetscFree(ail));
48   PetscFunctionReturn(PETSC_SUCCESS);
49 }
50 
51 /* PetscCDSetChunkSize
52  */
PetscCDSetChunkSize(PetscCoarsenData * ail,PetscInt a_sz)53 PetscErrorCode PetscCDSetChunkSize(PetscCoarsenData *ail, PetscInt a_sz)
54 {
55   PetscFunctionBegin;
56   ail->chk_sz = a_sz;
57   PetscFunctionReturn(PETSC_SUCCESS);
58 }
59 
60 /*  PetscCDGetNewNode
61  */
PetscCDGetNewNode(PetscCoarsenData * ail,PetscCDIntNd ** a_out,PetscInt a_id)62 static PetscErrorCode PetscCDGetNewNode(PetscCoarsenData *ail, PetscCDIntNd **a_out, PetscInt a_id)
63 {
64   PetscFunctionBegin;
65   *a_out = NULL; /* squelch -Wmaybe-uninitialized */
66   if (ail->extra_nodes) {
67     PetscCDIntNd *node = ail->extra_nodes;
68 
69     ail->extra_nodes = node->next;
70     node->gid        = a_id;
71     node->next       = NULL;
72     *a_out           = node;
73   } else {
74     if (!ail->pool_list.array) {
75       if (!ail->chk_sz) ail->chk_sz = 10; /* use a chuck size of ail->size? */
76       PetscCall(PetscMalloc1(ail->chk_sz, &ail->pool_list.array));
77       ail->new_node       = ail->pool_list.array;
78       ail->new_left       = ail->chk_sz;
79       ail->new_node->next = NULL;
80     } else if (!ail->new_left) {
81       PetscCDArrNd *node;
82 
83       PetscCall(PetscMalloc(ail->chk_sz * sizeof(PetscCDIntNd) + sizeof(PetscCDArrNd), &node));
84       node->array         = (PetscCDIntNd *)(node + 1);
85       node->next          = ail->pool_list.next;
86       ail->pool_list.next = node;
87       ail->new_left       = ail->chk_sz;
88       ail->new_node       = node->array;
89     }
90     ail->new_node->gid  = a_id;
91     ail->new_node->next = NULL;
92     *a_out              = ail->new_node++;
93     ail->new_left--;
94   }
95   PetscFunctionReturn(PETSC_SUCCESS);
96 }
97 
98 /* PetscCDIntNdSetID
99  */
PetscCDIntNdSetID(PetscCDIntNd * a_this,PetscInt a_id)100 PetscErrorCode PetscCDIntNdSetID(PetscCDIntNd *a_this, PetscInt a_id)
101 {
102   PetscFunctionBegin;
103   a_this->gid = a_id;
104   PetscFunctionReturn(PETSC_SUCCESS);
105 }
106 
107 /* PetscCDIntNdGetID
108  */
PetscCDIntNdGetID(const PetscCDIntNd * a_this,PetscInt * a_gid)109 PetscErrorCode PetscCDIntNdGetID(const PetscCDIntNd *a_this, PetscInt *a_gid)
110 {
111   PetscFunctionBegin;
112   *a_gid = a_this->gid;
113   PetscFunctionReturn(PETSC_SUCCESS);
114 }
115 
116 /* PetscCDGetHeadPos
117  */
PetscCDGetHeadPos(const PetscCoarsenData * ail,PetscInt a_idx,PetscCDIntNd ** pos)118 PetscErrorCode PetscCDGetHeadPos(const PetscCoarsenData *ail, PetscInt a_idx, PetscCDIntNd **pos)
119 {
120   PetscFunctionBegin;
121   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "a_idx >= ail->size: a_idx=%" PetscInt_FMT ".", a_idx);
122   *pos = ail->array[a_idx];
123   PetscFunctionReturn(PETSC_SUCCESS);
124 }
125 
126 /* PetscCDGetNextPos
127  */
PetscCDGetNextPos(const PetscCoarsenData * ail,PetscInt l_idx,PetscCDIntNd ** pos)128 PetscErrorCode PetscCDGetNextPos(const PetscCoarsenData *ail, PetscInt l_idx, PetscCDIntNd **pos)
129 {
130   PetscFunctionBegin;
131   PetscCheck(*pos, PETSC_COMM_SELF, PETSC_ERR_PLIB, "NULL input position.");
132   *pos = (*pos)->next;
133   PetscFunctionReturn(PETSC_SUCCESS);
134 }
135 
136 /* PetscCDAppendID
137  */
PetscCDAppendID(PetscCoarsenData * ail,PetscInt a_idx,PetscInt a_id)138 PetscErrorCode PetscCDAppendID(PetscCoarsenData *ail, PetscInt a_idx, PetscInt a_id)
139 {
140   PetscCDIntNd *n, *n2;
141 
142   PetscFunctionBegin;
143   PetscCall(PetscCDGetNewNode(ail, &n, a_id));
144   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_idx);
145   if (!(n2 = ail->array[a_idx])) ail->array[a_idx] = n;
146   else {
147     do {
148       if (!n2->next) {
149         n2->next = n;
150         PetscCheck(!n->next, PETSC_COMM_SELF, PETSC_ERR_PLIB, "n should not have a next");
151         break;
152       }
153       n2 = n2->next;
154     } while (n2);
155     PetscCheck(n2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "n2 should be non-null");
156   }
157   PetscFunctionReturn(PETSC_SUCCESS);
158 }
159 
160 /* PetscCDAppendNode
161  */
PetscCDAppendNode(PetscCoarsenData * ail,PetscInt a_idx,PetscCDIntNd * a_n)162 PetscErrorCode PetscCDAppendNode(PetscCoarsenData *ail, PetscInt a_idx, PetscCDIntNd *a_n)
163 {
164   PetscCDIntNd *n2;
165 
166   PetscFunctionBegin;
167   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_idx);
168   if (!(n2 = ail->array[a_idx])) ail->array[a_idx] = a_n;
169   else {
170     do {
171       if (!n2->next) {
172         n2->next  = a_n;
173         a_n->next = NULL;
174         break;
175       }
176       n2 = n2->next;
177     } while (n2);
178     PetscCheck(n2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "n2 should be non-null");
179   }
180   PetscFunctionReturn(PETSC_SUCCESS);
181 }
182 
183 /* PetscCDRemoveNextNode: a_last->next, this exposes single linked list structure to API (not used)
184  */
PetscCDRemoveNextNode(PetscCoarsenData * ail,PetscInt a_idx,PetscCDIntNd * a_last)185 PetscErrorCode PetscCDRemoveNextNode(PetscCoarsenData *ail, PetscInt a_idx, PetscCDIntNd *a_last)
186 {
187   PetscCDIntNd *del;
188 
189   PetscFunctionBegin;
190   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_idx);
191   PetscCheck(a_last->next, PETSC_COMM_SELF, PETSC_ERR_PLIB, "a_last should have a next");
192   del          = a_last->next;
193   a_last->next = del->next;
194   /* del->next = NULL; -- this still used in a iterator so keep it intact -- need to fix this with a double linked list */
195   /* could reuse n2 but PetscCDAppendNode sometimes uses it */
196   PetscFunctionReturn(PETSC_SUCCESS);
197 }
198 
199 /* PetscCDPrint
200  */
PetscCDPrint(const PetscCoarsenData * ail,PetscInt Istart,MPI_Comm comm)201 PetscErrorCode PetscCDPrint(const PetscCoarsenData *ail, PetscInt Istart, MPI_Comm comm)
202 {
203   PetscCDIntNd *n, *n2;
204   PetscInt      ii;
205 
206   PetscFunctionBegin;
207   for (ii = 0; ii < ail->size; ii++) {
208     n2 = n = ail->array[ii];
209     if (n) PetscCall(PetscSynchronizedPrintf(comm, "list %" PetscInt_FMT ":", ii + Istart));
210     while (n) {
211       PetscCall(PetscSynchronizedPrintf(comm, " %" PetscInt_FMT, n->gid));
212       n = n->next;
213     }
214     if (n2) PetscCall(PetscSynchronizedPrintf(comm, "\n"));
215   }
216   PetscCall(PetscSynchronizedFlush(comm, PETSC_STDOUT));
217   PetscFunctionReturn(PETSC_SUCCESS);
218 }
219 
220 /* PetscCDMoveAppend - take list in a_srcidx and appends to destidx
221  */
PetscCDMoveAppend(PetscCoarsenData * ail,PetscInt a_destidx,PetscInt a_srcidx)222 PetscErrorCode PetscCDMoveAppend(PetscCoarsenData *ail, PetscInt a_destidx, PetscInt a_srcidx)
223 {
224   PetscCDIntNd *n;
225 
226   PetscFunctionBegin;
227   PetscCheck(a_srcidx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_srcidx);
228   PetscCheck(a_destidx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_destidx);
229   PetscCheck(a_destidx != a_srcidx, PETSC_COMM_SELF, PETSC_ERR_PLIB, "a_destidx==a_srcidx %" PetscInt_FMT ".", a_destidx);
230   n = ail->array[a_destidx];
231   if (!n) ail->array[a_destidx] = ail->array[a_srcidx];
232   else {
233     do {
234       if (!n->next) {
235         n->next = ail->array[a_srcidx]; // append
236         break;
237       }
238       n = n->next;
239     } while (1);
240   }
241   ail->array[a_srcidx] = NULL; // empty
242   PetscFunctionReturn(PETSC_SUCCESS);
243 }
244 
245 /* PetscCDRemoveAllAt - empty one list and move data to cache
246  */
PetscCDRemoveAllAt(PetscCoarsenData * ail,PetscInt a_idx)247 PetscErrorCode PetscCDRemoveAllAt(PetscCoarsenData *ail, PetscInt a_idx)
248 {
249   PetscCDIntNd *rem, *n1;
250 
251   PetscFunctionBegin;
252   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_idx);
253   rem               = ail->array[a_idx];
254   ail->array[a_idx] = NULL;
255   if (!(n1 = ail->extra_nodes)) ail->extra_nodes = rem;
256   else {
257     while (n1->next) n1 = n1->next;
258     n1->next = rem;
259   }
260   PetscFunctionReturn(PETSC_SUCCESS);
261 }
262 
263 /* PetscCDCountAt
264  */
PetscCDCountAt(const PetscCoarsenData * ail,PetscInt a_idx,PetscInt * a_sz)265 PetscErrorCode PetscCDCountAt(const PetscCoarsenData *ail, PetscInt a_idx, PetscInt *a_sz)
266 {
267   PetscCDIntNd *n1;
268   PetscInt      sz = 0;
269 
270   PetscFunctionBegin;
271   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_idx);
272   n1 = ail->array[a_idx];
273   while (n1) {
274     n1 = n1->next;
275     sz++;
276   }
277   *a_sz = sz;
278   PetscFunctionReturn(PETSC_SUCCESS);
279 }
280 
281 /* PetscCDSize
282  */
PetscCDCount(const PetscCoarsenData * ail,PetscInt * a_sz)283 PetscErrorCode PetscCDCount(const PetscCoarsenData *ail, PetscInt *a_sz)
284 {
285   PetscInt sz = 0;
286 
287   PetscFunctionBegin;
288   for (PetscInt ii = 0; ii < ail->size; ii++) {
289     PetscCDIntNd *n1 = ail->array[ii];
290 
291     while (n1) {
292       n1 = n1->next;
293       sz++;
294     }
295   }
296   *a_sz = sz;
297   PetscFunctionReturn(PETSC_SUCCESS);
298 }
299 
300 /* PetscCDIsEmptyAt - Is the list empty? (not used)
301  */
PetscCDIsEmptyAt(const PetscCoarsenData * ail,PetscInt a_idx,PetscBool * a_e)302 PetscErrorCode PetscCDIsEmptyAt(const PetscCoarsenData *ail, PetscInt a_idx, PetscBool *a_e)
303 {
304   PetscFunctionBegin;
305   PetscCheck(a_idx < ail->size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " out of range.", a_idx);
306   *a_e = (PetscBool)(ail->array[a_idx] == NULL);
307   PetscFunctionReturn(PETSC_SUCCESS);
308 }
309 
310 /* PetscCDGetNonemptyIS - used for C-F methods
311  */
PetscCDGetNonemptyIS(PetscCoarsenData * ail,IS * a_mis)312 PetscErrorCode PetscCDGetNonemptyIS(PetscCoarsenData *ail, IS *a_mis)
313 {
314   PetscCDIntNd *n;
315   PetscInt      ii, kk;
316   PetscInt     *permute;
317 
318   PetscFunctionBegin;
319   for (ii = kk = 0; ii < ail->size; ii++) {
320     n = ail->array[ii];
321     if (n) kk++;
322   }
323   PetscCall(PetscMalloc1(kk, &permute));
324   for (ii = kk = 0; ii < ail->size; ii++) {
325     n = ail->array[ii];
326     if (n) permute[kk++] = ii;
327   }
328   PetscCall(ISCreateGeneral(PETSC_COMM_SELF, kk, permute, PETSC_OWN_POINTER, a_mis));
329   PetscFunctionReturn(PETSC_SUCCESS);
330 }
331 
332 /* PetscCDGetMat
333  */
PetscCDGetMat(PetscCoarsenData * ail,Mat * a_mat)334 PetscErrorCode PetscCDGetMat(PetscCoarsenData *ail, Mat *a_mat)
335 {
336   PetscFunctionBegin;
337   *a_mat = ail->mat;
338   PetscFunctionReturn(PETSC_SUCCESS);
339 }
340 
341 /* PetscCDSetMat
342  */
PetscCDSetMat(PetscCoarsenData * ail,Mat a_mat)343 PetscErrorCode PetscCDSetMat(PetscCoarsenData *ail, Mat a_mat)
344 {
345   PetscFunctionBegin;
346   if (ail->mat) PetscCall(MatDestroy(&ail->mat)); //should not happen
347   ail->mat = a_mat;
348   PetscFunctionReturn(PETSC_SUCCESS);
349 }
350 
351 /* PetscCDClearMat
352  */
PetscCDClearMat(PetscCoarsenData * ail)353 PetscErrorCode PetscCDClearMat(PetscCoarsenData *ail)
354 {
355   PetscFunctionBegin;
356   ail->mat = NULL;
357   PetscFunctionReturn(PETSC_SUCCESS);
358 }
359 
360 /* PetscCDGetASMBlocks - get IS of aggregates for ASM smoothers
361  */
PetscCDGetASMBlocks(const PetscCoarsenData * ail,const PetscInt a_bs,PetscInt * a_sz,IS ** a_local_is)362 PetscErrorCode PetscCDGetASMBlocks(const PetscCoarsenData *ail, const PetscInt a_bs, PetscInt *a_sz, IS **a_local_is)
363 {
364   PetscCDIntNd *n;
365   PetscInt      lsz, ii, kk, *idxs, jj, gid;
366   IS           *is_loc = NULL;
367 
368   PetscFunctionBegin;
369   for (ii = kk = 0; ii < ail->size; ii++) {
370     if (ail->array[ii]) kk++;
371   }
372   *a_sz = kk;
373   PetscCall(PetscMalloc1(kk, &is_loc));
374   for (ii = kk = 0; ii < ail->size; ii++) {
375     for (lsz = 0, n = ail->array[ii]; n; lsz++, n = n->next) /* void */
376       ;
377     if (lsz) {
378       PetscCall(PetscMalloc1(a_bs * lsz, &idxs));
379       for (lsz = 0, n = ail->array[ii]; n; n = n->next) {
380         PetscCall(PetscCDIntNdGetID(n, &gid));
381         for (jj = 0; jj < a_bs; lsz++, jj++) idxs[lsz] = a_bs * gid + jj;
382       }
383       PetscCall(ISCreateGeneral(PETSC_COMM_SELF, lsz, idxs, PETSC_OWN_POINTER, &is_loc[kk++]));
384     }
385   }
386   PetscCheck(*a_sz == kk, PETSC_COMM_SELF, PETSC_ERR_PLIB, "*a_sz %" PetscInt_FMT " != kk %" PetscInt_FMT, *a_sz, kk);
387   *a_local_is = is_loc; /* out */
388   PetscFunctionReturn(PETSC_SUCCESS);
389 }
390 
391 /* edge for priority queue */
392 typedef struct edge_tag {
393   PetscReal weight;
394   PetscInt  lid0, gid1, ghost1_idx;
395 } Edge;
396 
397 #define MY_MEPS (PETSC_MACHINE_EPSILON * 100)
gamg_hem_compare(const void * a,const void * b)398 static int gamg_hem_compare(const void *a, const void *b)
399 {
400   PetscReal va = ((Edge *)a)->weight, vb = ((Edge *)b)->weight;
401   return (va <= vb - MY_MEPS) ? 1 : (va > vb + MY_MEPS) ? -1 : 0; /* 0 for equal */
402 }
403 
404 /*
405   MatCoarsenApply_HEM_private - parallel heavy edge matching
406 
407   Input Parameter:
408    . a_Gmat - global matrix of the graph
409    . n_iter - number of matching iterations
410    . threshold - threshold for filtering graphs
411 
412   Output Parameter:
413    . a_locals_llist - array of list of local nodes rooted at local node
414 */
MatCoarsenApply_HEM_private(Mat a_Gmat,const PetscInt n_iter,const PetscReal threshold,PetscCoarsenData ** a_locals_llist)415 static PetscErrorCode MatCoarsenApply_HEM_private(Mat a_Gmat, const PetscInt n_iter, const PetscReal threshold, PetscCoarsenData **a_locals_llist)
416 {
417 #define REQ_BF_SIZE 100
418   PetscBool         isMPI;
419   MPI_Comm          comm;
420   PetscInt          ix, *ii, *aj, Istart, bc_agg = -1, *rbuff = NULL, rbuff_sz = 0;
421   PetscMPIInt       rank, size, comm_procs[REQ_BF_SIZE], ncomm_procs, *lid_max_pe;
422   const PetscInt    nloc = a_Gmat->rmap->n, request_size = PetscCeilInt((int)sizeof(MPI_Request), (int)sizeof(PetscInt));
423   PetscInt         *lid_cprowID;
424   PetscBool        *lid_matched;
425   Mat_SeqAIJ       *matA, *matB = NULL;
426   Mat_MPIAIJ       *mpimat     = NULL;
427   PetscScalar       one        = 1.;
428   PetscCoarsenData *agg_llists = NULL, *ghost_deleted_list = NULL, *bc_list = NULL;
429   Mat               cMat, tMat, P;
430   MatScalar        *ap;
431   IS                info_is;
432 
433   PetscFunctionBegin;
434   PetscCall(PetscObjectGetComm((PetscObject)a_Gmat, &comm));
435   PetscCallMPI(MPI_Comm_rank(comm, &rank));
436   PetscCallMPI(MPI_Comm_size(comm, &size));
437   PetscCall(MatGetOwnershipRange(a_Gmat, &Istart, NULL));
438   PetscCall(ISCreate(comm, &info_is));
439   PetscCall(PetscInfo(info_is, "Start %" PetscInt_FMT " iterations of HEM.\n", n_iter));
440 
441   PetscCall(PetscMalloc3(nloc, &lid_matched, nloc, &lid_cprowID, nloc, &lid_max_pe));
442   PetscCall(PetscCDCreate(nloc, &agg_llists));
443   PetscCall(PetscCDSetChunkSize(agg_llists, nloc + 1));
444   *a_locals_llist = agg_llists;
445   /* add self to all lists */
446   for (PetscInt kk = 0; kk < nloc; kk++) PetscCall(PetscCDAppendID(agg_llists, kk, Istart + kk));
447   /* make a copy of the graph, this gets destroyed in iterates */
448   PetscCall(MatDuplicate(a_Gmat, MAT_COPY_VALUES, &cMat));
449   PetscCall(MatConvert(cMat, MATAIJ, MAT_INPLACE_MATRIX, &cMat));
450   isMPI = (PetscBool)(size > 1);
451   if (isMPI) {
452     /* list of deleted ghosts, should compress this */
453     PetscCall(PetscCDCreate(size, &ghost_deleted_list));
454     PetscCall(PetscCDSetChunkSize(ghost_deleted_list, 100));
455   }
456   for (PetscInt iter = 0; iter < n_iter; iter++) {
457     const PetscScalar *lghost_max_ew, *lid_max_ew;
458     PetscBool         *lghost_matched;
459     PetscMPIInt       *lghost_pe, *lghost_max_pe;
460     Vec                locMaxEdge, ghostMaxEdge, ghostMaxPE, locMaxPE;
461     PetscInt          *lghost_gid, nEdges, nEdges0, num_ghosts = 0;
462     Edge              *Edges;
463     const PetscInt     n_sub_its = 1000; // in case of a bug, stop at some point
464 
465     /* get submatrices of cMat */
466     for (PetscInt kk = 0; kk < nloc; kk++) lid_cprowID[kk] = -1;
467     if (isMPI) {
468       mpimat = (Mat_MPIAIJ *)cMat->data;
469       matA   = (Mat_SeqAIJ *)mpimat->A->data;
470       matB   = (Mat_SeqAIJ *)mpimat->B->data;
471       if (!matB->compressedrow.use) {
472         /* force construction of compressed row data structure since code below requires it */
473         PetscCall(MatCheckCompressedRow(mpimat->B, matB->nonzerorowcnt, &matB->compressedrow, matB->i, mpimat->B->rmap->n, -1.0));
474       }
475       /* set index into compressed row 'lid_cprowID' */
476       for (ix = 0; ix < matB->compressedrow.nrows; ix++) {
477         PetscInt *ridx = matB->compressedrow.rindex, lid = ridx[ix];
478         if (ridx[ix] >= 0) lid_cprowID[lid] = ix;
479       }
480     } else {
481       matA = (Mat_SeqAIJ *)cMat->data;
482     }
483     /* set matched flags: true for empty list */
484     for (PetscInt kk = 0; kk < nloc; kk++) {
485       PetscCall(PetscCDCountAt(agg_llists, kk, &ix));
486       if (ix > 0) lid_matched[kk] = PETSC_FALSE;
487       else lid_matched[kk] = PETSC_TRUE; // call deleted gids as matched
488     }
489     /* max edge and pe vecs */
490     PetscCall(MatCreateVecs(cMat, &locMaxEdge, NULL));
491     PetscCall(MatCreateVecs(cMat, &locMaxPE, NULL));
492     /* get 'lghost_pe' & 'lghost_gid' & init. 'lghost_matched' using 'mpimat->lvec' */
493     if (isMPI) {
494       Vec                vec;
495       PetscScalar        vval;
496       const PetscScalar *buf;
497 
498       PetscCall(MatCreateVecs(cMat, &vec, NULL));
499       PetscCall(VecGetLocalSize(mpimat->lvec, &num_ghosts));
500       /* lghost_matched */
501       for (PetscInt kk = 0, gid = Istart; kk < nloc; kk++, gid++) {
502         PetscScalar vval = lid_matched[kk] ? 1.0 : 0.0;
503 
504         PetscCall(VecSetValues(vec, 1, &gid, &vval, INSERT_VALUES));
505       }
506       PetscCall(VecAssemblyBegin(vec));
507       PetscCall(VecAssemblyEnd(vec));
508       PetscCall(VecScatterBegin(mpimat->Mvctx, vec, mpimat->lvec, INSERT_VALUES, SCATTER_FORWARD));
509       PetscCall(VecScatterEnd(mpimat->Mvctx, vec, mpimat->lvec, INSERT_VALUES, SCATTER_FORWARD));
510       PetscCall(VecGetArrayRead(mpimat->lvec, &buf)); /* get proc ID in 'buf' */
511       PetscCall(PetscMalloc4(num_ghosts, &lghost_matched, num_ghosts, &lghost_pe, num_ghosts, &lghost_gid, num_ghosts, &lghost_max_pe));
512 
513       for (PetscInt kk = 0; kk < num_ghosts; kk++) lghost_matched[kk] = (PetscBool)(PetscRealPart(buf[kk]) != 0); // the proc of the ghost for now
514       PetscCall(VecRestoreArrayRead(mpimat->lvec, &buf));
515       /* lghost_pe */
516       vval = (PetscScalar)rank;
517       for (PetscInt kk = 0, gid = Istart; kk < nloc; kk++, gid++) PetscCall(VecSetValues(vec, 1, &gid, &vval, INSERT_VALUES)); /* set with GID */
518       PetscCall(VecAssemblyBegin(vec));
519       PetscCall(VecAssemblyEnd(vec));
520       PetscCall(VecScatterBegin(mpimat->Mvctx, vec, mpimat->lvec, INSERT_VALUES, SCATTER_FORWARD));
521       PetscCall(VecScatterEnd(mpimat->Mvctx, vec, mpimat->lvec, INSERT_VALUES, SCATTER_FORWARD));
522       PetscCall(VecGetArrayRead(mpimat->lvec, &buf));                                                   /* get proc ID in 'buf' */
523       for (PetscInt kk = 0; kk < num_ghosts; kk++) lghost_pe[kk] = (PetscMPIInt)PetscRealPart(buf[kk]); // the proc of the ghost for now
524       PetscCall(VecRestoreArrayRead(mpimat->lvec, &buf));
525       /* lghost_gid */
526       for (PetscInt kk = 0, gid = Istart; kk < nloc; kk++, gid++) {
527         vval = (PetscScalar)gid;
528 
529         PetscCall(VecSetValues(vec, 1, &gid, &vval, INSERT_VALUES)); /* set with GID */
530       }
531       PetscCall(VecAssemblyBegin(vec));
532       PetscCall(VecAssemblyEnd(vec));
533       PetscCall(VecScatterBegin(mpimat->Mvctx, vec, mpimat->lvec, INSERT_VALUES, SCATTER_FORWARD));
534       PetscCall(VecScatterEnd(mpimat->Mvctx, vec, mpimat->lvec, INSERT_VALUES, SCATTER_FORWARD));
535       PetscCall(VecDestroy(&vec));
536       PetscCall(VecGetArrayRead(mpimat->lvec, &buf)); /* get proc ID in 'lghost_gid' */
537       for (PetscInt kk = 0; kk < num_ghosts; kk++) lghost_gid[kk] = (PetscInt)PetscRealPart(buf[kk]);
538       PetscCall(VecRestoreArrayRead(mpimat->lvec, &buf));
539     }
540     // get 'comm_procs' (could hoist)
541     for (PetscInt kk = 0; kk < REQ_BF_SIZE; kk++) comm_procs[kk] = -1;
542     for (ix = 0, ncomm_procs = 0; ix < num_ghosts; ix++) {
543       PetscMPIInt proc = lghost_pe[ix], idx = -1;
544 
545       for (PetscMPIInt k = 0; k < ncomm_procs && idx == -1; k++)
546         if (comm_procs[k] == proc) idx = k;
547       if (idx == -1) comm_procs[ncomm_procs++] = proc;
548       PetscCheck(ncomm_procs != REQ_BF_SIZE, PETSC_COMM_SELF, PETSC_ERR_SUP, "Receive request array too small: %d", ncomm_procs);
549     }
550     /* count edges, compute initial 'locMaxEdge', 'locMaxPE' */
551     nEdges0 = 0;
552     for (PetscInt kk = 0, gid = Istart; kk < nloc; kk++, gid++) {
553       PetscReal   max_e = 0., tt;
554       PetscScalar vval;
555       PetscInt    lid = kk, max_pe = rank, pe, n;
556 
557       ii = matA->i;
558       n  = ii[lid + 1] - ii[lid];
559       aj = PetscSafePointerPlusOffset(matA->j, ii[lid]);
560       ap = PetscSafePointerPlusOffset(matA->a, ii[lid]);
561       for (PetscInt jj = 0; jj < n; jj++) {
562         PetscInt lidj = aj[jj];
563 
564         if ((tt = PetscRealPart(ap[jj])) > threshold && lidj != lid) {
565           if (tt > max_e) max_e = tt;
566           if (lidj > lid) nEdges0++;
567         }
568       }
569       if ((ix = lid_cprowID[lid]) != -1) { /* if I have any ghost neighbors */
570         ii = matB->compressedrow.i;
571         n  = ii[ix + 1] - ii[ix];
572         ap = matB->a + ii[ix];
573         aj = matB->j + ii[ix];
574         for (PetscInt jj = 0; jj < n; jj++) {
575           if ((tt = PetscRealPart(ap[jj])) > threshold) {
576             if (tt > max_e) max_e = tt;
577             nEdges0++;
578             if ((pe = lghost_pe[aj[jj]]) > max_pe) max_pe = pe;
579           }
580         }
581       }
582       vval = max_e;
583       PetscCall(VecSetValues(locMaxEdge, 1, &gid, &vval, INSERT_VALUES));
584       vval = (PetscScalar)max_pe;
585       PetscCall(VecSetValues(locMaxPE, 1, &gid, &vval, INSERT_VALUES));
586       if (iter == 0 && max_e <= MY_MEPS) { // add BCs to fake aggregate
587         lid_matched[lid] = PETSC_TRUE;
588         if (bc_agg == -1) {
589           bc_agg = lid;
590           PetscCall(PetscCDCreate(1, &bc_list));
591         }
592         PetscCall(PetscCDRemoveAllAt(agg_llists, lid));
593         PetscCall(PetscCDAppendID(bc_list, 0, Istart + lid));
594       }
595     }
596     PetscCall(VecAssemblyBegin(locMaxEdge));
597     PetscCall(VecAssemblyEnd(locMaxEdge));
598     PetscCall(VecAssemblyBegin(locMaxPE));
599     PetscCall(VecAssemblyEnd(locMaxPE));
600     /* make 'ghostMaxEdge_max_ew', 'lghost_max_pe' */
601     if (isMPI) {
602       const PetscScalar *buf;
603 
604       PetscCall(VecDuplicate(mpimat->lvec, &ghostMaxEdge));
605       PetscCall(VecScatterBegin(mpimat->Mvctx, locMaxEdge, ghostMaxEdge, INSERT_VALUES, SCATTER_FORWARD));
606       PetscCall(VecScatterEnd(mpimat->Mvctx, locMaxEdge, ghostMaxEdge, INSERT_VALUES, SCATTER_FORWARD));
607 
608       PetscCall(VecDuplicate(mpimat->lvec, &ghostMaxPE));
609       PetscCall(VecScatterBegin(mpimat->Mvctx, locMaxPE, ghostMaxPE, INSERT_VALUES, SCATTER_FORWARD));
610       PetscCall(VecScatterEnd(mpimat->Mvctx, locMaxPE, ghostMaxPE, INSERT_VALUES, SCATTER_FORWARD));
611       PetscCall(VecGetArrayRead(ghostMaxPE, &buf));
612       for (PetscInt kk = 0; kk < num_ghosts; kk++) lghost_max_pe[kk] = (PetscMPIInt)PetscRealPart(buf[kk]); // the MAX proc of the ghost now
613       PetscCall(VecRestoreArrayRead(ghostMaxPE, &buf));
614     }
615     { // make lid_max_pe
616       const PetscScalar *buf;
617 
618       PetscCall(VecGetArrayRead(locMaxPE, &buf));
619       for (PetscInt kk = 0; kk < nloc; kk++) lid_max_pe[kk] = (PetscMPIInt)PetscRealPart(buf[kk]); // the MAX proc of the ghost now
620       PetscCall(VecRestoreArrayRead(locMaxPE, &buf));
621     }
622     /* setup sorted list of edges, and make 'Edges' */
623     PetscCall(PetscMalloc1(nEdges0, &Edges));
624     nEdges = 0;
625     for (PetscInt kk = 0, n; kk < nloc; kk++) {
626       const PetscInt lid = kk;
627       PetscReal      tt;
628 
629       ii = matA->i;
630       n  = ii[lid + 1] - ii[lid];
631       aj = PetscSafePointerPlusOffset(matA->j, ii[lid]);
632       ap = PetscSafePointerPlusOffset(matA->a, ii[lid]);
633       for (PetscInt jj = 0; jj < n; jj++) {
634         PetscInt lidj = aj[jj];
635 
636         if ((tt = PetscRealPart(ap[jj])) > threshold && lidj != lid) {
637           if (lidj > lid) {
638             Edges[nEdges].lid0       = lid;
639             Edges[nEdges].gid1       = lidj + Istart;
640             Edges[nEdges].ghost1_idx = -1;
641             Edges[nEdges].weight     = tt;
642             nEdges++;
643           }
644         }
645       }
646       if ((ix = lid_cprowID[lid]) != -1) { /* if I have any ghost neighbor */
647         ii = matB->compressedrow.i;
648         n  = ii[ix + 1] - ii[ix];
649         ap = matB->a + ii[ix];
650         aj = matB->j + ii[ix];
651         for (PetscInt jj = 0; jj < n; jj++) {
652           if ((tt = PetscRealPart(ap[jj])) > threshold) {
653             Edges[nEdges].lid0       = lid;
654             Edges[nEdges].gid1       = lghost_gid[aj[jj]];
655             Edges[nEdges].ghost1_idx = aj[jj];
656             Edges[nEdges].weight     = tt;
657             nEdges++;
658           }
659         }
660       }
661     }
662     PetscCheck(nEdges == nEdges0, PETSC_COMM_SELF, PETSC_ERR_SUP, "nEdges != nEdges0: %" PetscInt_FMT " %" PetscInt_FMT, nEdges0, nEdges);
663     if (Edges) qsort(Edges, nEdges, sizeof(Edge), gamg_hem_compare);
664 
665     PetscCall(PetscInfo(info_is, "[%d] HEM iteration %" PetscInt_FMT " with %" PetscInt_FMT " edges\n", rank, iter, nEdges));
666 
667     /* projection matrix */
668     PetscCall(MatCreate(comm, &P));
669     PetscCall(MatSetType(P, MATAIJ));
670     PetscCall(MatSetSizes(P, nloc, nloc, PETSC_DETERMINE, PETSC_DETERMINE));
671     PetscCall(MatMPIAIJSetPreallocation(P, 1, NULL, 1, NULL));
672     PetscCall(MatSeqAIJSetPreallocation(P, 1, NULL));
673     PetscCall(MatSetUp(P));
674     /* process - communicate - process */
675     for (PetscInt sub_it = 0, old_num_edge = 0; /* sub_it < n_sub_its */; /* sub_it++ */) {
676       PetscInt    nactive_edges = 0, n_act_n[3], gn_act_n[3];
677       PetscMPIInt tag1, tag2;
678 
679       PetscCall(VecGetArrayRead(locMaxEdge, &lid_max_ew));
680       if (isMPI) {
681         PetscCall(VecGetArrayRead(ghostMaxEdge, &lghost_max_ew));
682         PetscCall(PetscCommGetNewTag(comm, &tag1));
683         PetscCall(PetscCommGetNewTag(comm, &tag2));
684       }
685       for (PetscInt kk = 0; kk < nEdges; kk++) {
686         const Edge    *e    = &Edges[kk];
687         const PetscInt lid0 = e->lid0, gid1 = e->gid1, ghost1_idx = e->ghost1_idx, gid0 = lid0 + Istart, lid1 = gid1 - Istart;
688         PetscBool      isOK = PETSC_TRUE, print = PETSC_FALSE;
689 
690         if (print)
691           PetscCall(PetscSynchronizedPrintf(comm, "\t[%d] edge (%" PetscInt_FMT " %" PetscInt_FMT "), %s %s %s\n", rank, gid0, gid1, lid_matched[lid0] ? "true" : "false", (ghost1_idx != -1 && lghost_matched[ghost1_idx]) ? "true" : "false", (ghost1_idx == -1 && lid_matched[lid1]) ? "true" : "false"));
692         /* skip if either vertex is matched already */
693         if (lid_matched[lid0] || (ghost1_idx != -1 && lghost_matched[ghost1_idx]) || (ghost1_idx == -1 && lid_matched[lid1])) continue;
694 
695         nactive_edges++;
696         PetscCheck(PetscRealPart(lid_max_ew[lid0]) >= e->weight - MY_MEPS, PETSC_COMM_SELF, PETSC_ERR_SUP, "edge weight %e > max %e", (double)e->weight, (double)PetscRealPart(lid_max_ew[lid0]));
697         if (print) PetscCall(PetscSynchronizedPrintf(comm, "\t[%d] active edge (%" PetscInt_FMT " %" PetscInt_FMT "), diff0 = %10.4e\n", rank, gid0, gid1, (double)(PetscRealPart(lid_max_ew[lid0]) - e->weight)));
698         // smaller edge, lid_max_ew get updated - e0
699         if (PetscRealPart(lid_max_ew[lid0]) > e->weight + MY_MEPS) {
700           if (print)
701             PetscCall(PetscSynchronizedPrintf(comm, "\t\t[%d] 1) e0 SKIPPING small edge %20.14e edge (%" PetscInt_FMT " %" PetscInt_FMT "), diff = %10.4e to proc %d. max = %20.14e, w = %20.14e\n", rank, (double)e->weight, gid0, gid1, (double)(PetscRealPart(lid_max_ew[lid0]) - e->weight), ghost1_idx != -1 ? lghost_pe[ghost1_idx] : rank, (double)PetscRealPart(lid_max_ew[lid0]),
702                                               (double)e->weight));
703           continue; // we are basically filter edges here
704         }
705         // e1 - local
706         if (ghost1_idx == -1) {
707           if (PetscRealPart(lid_max_ew[lid1]) > e->weight + MY_MEPS) {
708             if (print)
709               PetscCall(PetscSynchronizedPrintf(comm, "\t\t%c[%d] 2) e1 SKIPPING small local edge %20.14e edge (%" PetscInt_FMT " %" PetscInt_FMT "), diff = %10.4e\n", ghost1_idx != -1 ? '\t' : ' ', rank, (double)e->weight, gid0, gid1, (double)(PetscRealPart(lid_max_ew[lid1]) - e->weight)));
710             continue; // we are basically filter edges here
711           }
712         } else { // e1 - ghost
713           /* see if edge might get matched on other proc */
714           PetscReal g_max_e1 = PetscRealPart(lghost_max_ew[ghost1_idx]);
715 
716           if (print)
717             PetscCall(PetscSynchronizedPrintf(comm, "\t\t\t[%d] CHECK GHOST e1, edge (%" PetscInt_FMT " %" PetscInt_FMT "), E0 MAX EDGE WEIGHT = %10.4e, EDGE WEIGHT = %10.4e, diff1 = %10.4e, ghost proc %d with max pe %d on e0 and %d on e1\n", rank, gid0, gid1, (double)PetscRealPart(lid_max_ew[lid0]),
718                                               (double)e->weight, (double)(PetscRealPart(lghost_max_ew[ghost1_idx]) - e->weight), lghost_pe[ghost1_idx], lid_max_pe[lid0], lghost_max_pe[ghost1_idx]));
719           if (g_max_e1 > e->weight + MY_MEPS) {
720             /* PetscCall(PetscSynchronizedPrintf(comm,"\t\t\t\t[%d] 3) ghost e1 SKIPPING small edge (%d %d), diff = %10.4e from proc %d with max pe %d. max = %20.14e, w = %20.14e\n", rank, gid0, gid1, g_max_e1 - e->weight, lghost_pe[ghost1_idx], lghost_max_pe[ghost1_idx], g_max_e1, e->weight )); */
721             continue;
722           } else if (g_max_e1 >= e->weight - MY_MEPS && lghost_pe[ghost1_idx] > rank) { // is 'lghost_max_pe[ghost1_idx] > rank' needed?
723             /* check for max_ea == to this edge and larger processor that will deal with this */
724             if (print)
725               PetscCall(PetscSynchronizedPrintf(comm, "\t\t\t[%d] ghost e1 SKIPPING EQUAL (%" PetscInt_FMT " %" PetscInt_FMT "), diff = %10.4e from larger proc %d with max pe %d. max = %20.14e, w = %20.14e\n", rank, gid0, gid1, (double)(PetscRealPart(lid_max_ew[lid0]) - e->weight), lghost_pe[ghost1_idx], lghost_max_pe[ghost1_idx], (double)g_max_e1,
726                                                 (double)e->weight));
727             continue;
728           } else {
729             /* PetscCall(PetscSynchronizedPrintf(comm,"\t[%d] Edge (%d %d) passes gid0 tests, diff = %10.4e from proc %d with max pe %d. max = %20.14e, w = %20.14e\n", rank, gid0, gid1, g_max_e1 - e->weight, lghost_pe[ghost1_idx], lghost_max_pe[ghost1_idx], g_max_e1, e->weight )); */
730           }
731         }
732         /* check ghost for v0 */
733         if (isOK) {
734           PetscReal max_e, ew;
735 
736           if ((ix = lid_cprowID[lid0]) != -1) { /* if I have any ghost neighbors */
737             PetscInt n;
738 
739             ii = matB->compressedrow.i;
740             n  = ii[ix + 1] - ii[ix];
741             ap = matB->a + ii[ix];
742             aj = matB->j + ii[ix];
743             for (PetscInt jj = 0; jj < n && isOK; jj++) {
744               PetscInt lidj = aj[jj];
745 
746               if (lghost_matched[lidj]) continue;
747               ew = PetscRealPart(ap[jj]);
748               if (ew <= threshold) continue;
749               max_e = PetscRealPart(lghost_max_ew[lidj]);
750 
751               /* check for max_e == to this edge and larger processor that will deal with this */
752               if (ew >= PetscRealPart(lid_max_ew[lid0]) - MY_MEPS && lghost_max_pe[lidj] > rank) isOK = PETSC_FALSE;
753               PetscCheck(ew <= max_e + MY_MEPS, PETSC_COMM_SELF, PETSC_ERR_SUP, "edge weight %e > max %e. ncols = %" PetscInt_FMT ", gid0 = %" PetscInt_FMT ", gid1 = %" PetscInt_FMT, (double)PetscRealPart(ew), (double)PetscRealPart(max_e), n, lid0 + Istart, lghost_gid[lidj]);
754               if (print)
755                 PetscCall(PetscSynchronizedPrintf(comm, "\t\t\t\t[%d] e0: looked at ghost adj (%" PetscInt_FMT " %" PetscInt_FMT "), diff = %10.4e, ghost on proc %d (max %d). isOK = %d, %d %d %d; ew = %e, lid0 max ew = %e, diff = %e, eps = %e\n", rank, gid0, lghost_gid[lidj], (double)(max_e - ew), lghost_pe[lidj], lghost_max_pe[lidj], isOK, (double)ew >= (double)(max_e - MY_MEPS), ew >= PetscRealPart(lid_max_ew[lid0]) - MY_MEPS, lghost_pe[lidj] > rank, (double)ew, (double)PetscRealPart(lid_max_ew[lid0]), (double)(ew - PetscRealPart(lid_max_ew[lid0])), (double)MY_MEPS));
756             }
757             if (!isOK && print) PetscCall(PetscSynchronizedPrintf(comm, "\t\t[%d] skip edge (%" PetscInt_FMT " %" PetscInt_FMT ") from ghost inspection\n", rank, gid0, gid1));
758           }
759           /* check local v1 */
760           if (ghost1_idx == -1) {
761             if ((ix = lid_cprowID[lid1]) != -1) { /* if I have any ghost neighbors */
762               PetscInt n;
763 
764               ii = matB->compressedrow.i;
765               n  = ii[ix + 1] - ii[ix];
766               ap = matB->a + ii[ix];
767               aj = matB->j + ii[ix];
768               for (PetscInt jj = 0; jj < n && isOK; jj++) {
769                 PetscInt lidj = aj[jj];
770 
771                 if (lghost_matched[lidj]) continue;
772                 ew = PetscRealPart(ap[jj]);
773                 if (ew <= threshold) continue;
774                 max_e = PetscRealPart(lghost_max_ew[lidj]);
775                 /* check for max_e == to this edge and larger processor that will deal with this */
776                 if (ew >= PetscRealPart(lid_max_ew[lid1]) - MY_MEPS && lghost_max_pe[lidj] > rank) isOK = PETSC_FALSE;
777                 PetscCheck(ew <= max_e + MY_MEPS, PETSC_COMM_SELF, PETSC_ERR_SUP, "edge weight %e > max %e", (double)PetscRealPart(ew), (double)PetscRealPart(max_e));
778                 if (print)
779                   PetscCall(PetscSynchronizedPrintf(comm, "\t\t\t\t\t[%d] e1: looked at ghost adj (%" PetscInt_FMT " %" PetscInt_FMT "), diff = %10.4e, ghost on proc %d (max %d)\n", rank, gid0, lghost_gid[lidj], (double)(max_e - ew), lghost_pe[lidj], lghost_max_pe[lidj]));
780               }
781             }
782             if (!isOK && print) PetscCall(PetscSynchronizedPrintf(comm, "\t\t[%d] skip edge (%" PetscInt_FMT " %" PetscInt_FMT ") from ghost inspection\n", rank, gid0, gid1));
783           }
784         }
785         PetscReal e1_max_w = (ghost1_idx == -1 ? PetscRealPart(lid_max_ew[lid0]) : PetscRealPart(lghost_max_ew[ghost1_idx]));
786         if (print)
787           PetscCall(PetscSynchronizedPrintf(comm, "\t[%d] MATCHING (%" PetscInt_FMT " %" PetscInt_FMT ") e1 max weight = %e, e1 weight diff %e, %s. isOK = %d\n", rank, gid0, gid1, (double)e1_max_w, (double)(e1_max_w - e->weight), ghost1_idx == -1 ? "local" : "ghost", isOK));
788         /* do it */
789         if (isOK) {
790           if (ghost1_idx == -1) {
791             PetscCheck(!lid_matched[lid1], PETSC_COMM_SELF, PETSC_ERR_SUP, "local %" PetscInt_FMT " is matched", gid1);
792             lid_matched[lid1] = PETSC_TRUE;                       /* keep track of what we've done this round */
793             PetscCall(PetscCDMoveAppend(agg_llists, lid0, lid1)); // takes lid1's list and appends to lid0's
794           } else {
795             /* add gid1 to list of ghost deleted by me -- I need their children */
796             PetscMPIInt proc = lghost_pe[ghost1_idx];
797             PetscCheck(!lghost_matched[ghost1_idx], PETSC_COMM_SELF, PETSC_ERR_SUP, "ghost %" PetscInt_FMT " is matched", lghost_gid[ghost1_idx]);
798             lghost_matched[ghost1_idx] = PETSC_TRUE;
799             PetscCall(PetscCDAppendID(ghost_deleted_list, proc, ghost1_idx)); /* cache to send messages */
800             PetscCall(PetscCDAppendID(ghost_deleted_list, proc, lid0));
801           }
802           lid_matched[lid0] = PETSC_TRUE; /* keep track of what we've done this round */
803           /* set projection */
804           PetscCall(MatSetValues(P, 1, &gid0, 1, &gid0, &one, INSERT_VALUES));
805           PetscCall(MatSetValues(P, 1, &gid1, 1, &gid0, &one, INSERT_VALUES));
806           //PetscCall(PetscPrintf(comm,"\t %" PetscInt_FMT ".%" PetscInt_FMT ") match active EDGE %" PetscInt_FMT " : (%" PetscInt_FMT " %" PetscInt_FMT ")\n",iter,sub_it, nactive_edges, gid0, gid1));
807         } /* matched */
808       } /* edge loop */
809       PetscCall(PetscSynchronizedFlush(comm, PETSC_STDOUT));
810       if (isMPI) PetscCall(VecRestoreArrayRead(ghostMaxEdge, &lghost_max_ew));
811       PetscCall(VecRestoreArrayRead(locMaxEdge, &lid_max_ew));
812       // count active for test, latter, update deleted ghosts
813       n_act_n[0] = nactive_edges;
814       if (ghost_deleted_list) PetscCall(PetscCDCount(ghost_deleted_list, &n_act_n[2]));
815       else n_act_n[2] = 0;
816       PetscCall(PetscCDCount(agg_llists, &n_act_n[1]));
817       PetscCallMPI(MPIU_Allreduce(n_act_n, gn_act_n, 3, MPIU_INT, MPI_SUM, comm));
818       PetscCall(PetscInfo(info_is, "[%d] %" PetscInt_FMT ".%" PetscInt_FMT ") nactive edges=%" PetscInt_FMT ", ncomm_procs=%d, nEdges=%" PetscInt_FMT ", %" PetscInt_FMT " deleted ghosts, N=%" PetscInt_FMT "\n", rank, iter, sub_it, gn_act_n[0], ncomm_procs, nEdges, gn_act_n[2], gn_act_n[1]));
819       /* deal with deleted ghost */
820       if (isMPI) {
821         PetscCDIntNd *pos;
822         PetscInt     *sbuffs1[REQ_BF_SIZE], ndel;
823         PetscInt     *sbuffs2[REQ_BF_SIZE];
824         MPI_Status    status;
825 
826         /* send deleted ghosts */
827         for (PetscInt proc_idx = 0; proc_idx < ncomm_procs; proc_idx++) {
828           const PetscMPIInt proc = comm_procs[proc_idx];
829           PetscInt         *sbuff, *pt, scount;
830           MPI_Request      *request;
831 
832           /* count ghosts */
833           PetscCall(PetscCDCountAt(ghost_deleted_list, proc, &ndel));
834           ndel /= 2; // two entries for each proc
835           scount = 2 + 2 * ndel;
836           PetscCall(PetscMalloc1(scount + request_size, &sbuff));
837           /* save requests */
838           sbuffs1[proc_idx] = sbuff;
839           request           = (MPI_Request *)sbuff;
840           sbuff = pt = sbuff + request_size;
841           /* write [ndel, proc, n*[gid1,gid0] */
842           *pt++ = ndel; // number of deleted to send
843           *pt++ = rank; // proc (not used)
844           PetscCall(PetscCDGetHeadPos(ghost_deleted_list, proc, &pos));
845           while (pos) {
846             PetscInt lid0, ghost_idx, gid1;
847 
848             PetscCall(PetscCDIntNdGetID(pos, &ghost_idx));
849             gid1 = lghost_gid[ghost_idx];
850             PetscCall(PetscCDGetNextPos(ghost_deleted_list, proc, &pos));
851             PetscCall(PetscCDIntNdGetID(pos, &lid0));
852             PetscCall(PetscCDGetNextPos(ghost_deleted_list, proc, &pos));
853             *pt++ = gid1;
854             *pt++ = lid0 + Istart; // gid0
855           }
856           PetscCheck(pt - sbuff == scount, PETSC_COMM_SELF, PETSC_ERR_SUP, "sbuff-pt != scount: %zu", pt - sbuff);
857           /* MPIU_Isend:  tag1 [ndel, proc, n*[gid1,gid0] ] */
858           PetscCallMPI(MPIU_Isend(sbuff, scount, MPIU_INT, proc, tag1, comm, request));
859           PetscCall(PetscCDRemoveAllAt(ghost_deleted_list, proc)); // done with this list
860         }
861         /* receive deleted, send back partial aggregates, clear lists */
862         for (PetscInt proc_idx = 0; proc_idx < ncomm_procs; proc_idx++) {
863           PetscCallMPI(MPI_Probe(comm_procs[proc_idx] /* MPI_ANY_SOURCE */, tag1, comm, &status));
864           {
865             PetscInt         *pt, *pt2, *pt3, *sbuff, tmp;
866             MPI_Request      *request;
867             PetscMPIInt       rcount, scount;
868             const PetscMPIInt proc = status.MPI_SOURCE;
869 
870             PetscCallMPI(MPI_Get_count(&status, MPIU_INT, &rcount));
871             if (rcount > rbuff_sz) {
872               if (rbuff) PetscCall(PetscFree(rbuff));
873               PetscCall(PetscMalloc1(rcount, &rbuff));
874               rbuff_sz = rcount;
875             }
876             /* MPI_Recv: tag1 [ndel, proc, ndel*[gid1,gid0] ] */
877             PetscCallMPI(MPI_Recv(rbuff, rcount, MPIU_INT, proc, tag1, comm, &status));
878             /* read and count sends *[lid0, n, n*[gid] ] */
879             pt     = rbuff;
880             scount = 0;
881             ndel   = *pt++; // number of deleted to recv
882             tmp    = *pt++; // proc (not used)
883             while (ndel--) {
884               PetscInt gid1 = *pt++, lid1 = gid1 - Istart;
885               PetscInt gh_gid0 = *pt++; // gid on other proc (not used here to count)
886 
887               PetscCheck(lid1 >= 0 && lid1 < nloc, PETSC_COMM_SELF, PETSC_ERR_SUP, "received ghost deleted %" PetscInt_FMT, gid1);
888               PetscCheck(!lid_matched[lid1], PETSC_COMM_SELF, PETSC_ERR_PLIB, "%" PetscInt_FMT ") received matched local gid %" PetscInt_FMT ",%" PetscInt_FMT ", with ghost (lid) %" PetscInt_FMT " from proc %d", sub_it, gid1, gh_gid0, tmp, proc);
889               lid_matched[lid1] = PETSC_TRUE;                    /* keep track of what we've done this round */
890               PetscCall(PetscCDCountAt(agg_llists, lid1, &tmp)); // n
891               scount += tmp + 2;                                 // lid0, n, n*[gid]
892             }
893             PetscCheck((pt - rbuff) == (ptrdiff_t)rcount, PETSC_COMM_SELF, PETSC_ERR_SUP, "receive buffer size != num read: %zu; rcount: %d", pt - rbuff, rcount);
894             /* send tag2: *[gid0, n, n*[gid] ] */
895             PetscCall(PetscMalloc1(scount + request_size, &sbuff));
896             sbuffs2[proc_idx] = sbuff; /* cache request */
897             request           = (MPI_Request *)sbuff;
898             pt2 = sbuff = sbuff + request_size;
899             // read again: n, proc, n*[gid1,gid0]
900             pt   = rbuff;
901             ndel = *pt++;
902             tmp  = *pt++; // proc (not used)
903             while (ndel--) {
904               PetscInt gid1 = *pt++, lid1 = gid1 - Istart, gh_gid0 = *pt++;
905 
906               /* write [gid0, aggSz, aggSz[gid] ] */
907               *pt2++ = gh_gid0;
908               pt3    = pt2++; /* save pointer for later */
909               PetscCall(PetscCDGetHeadPos(agg_llists, lid1, &pos));
910               while (pos) {
911                 PetscInt gid;
912 
913                 PetscCall(PetscCDIntNdGetID(pos, &gid));
914                 PetscCall(PetscCDGetNextPos(agg_llists, lid1, &pos));
915                 *pt2++ = gid;
916               }
917               PetscCall(PetscIntCast(pt2 - pt3 - 1, pt3));
918               /* clear list */
919               PetscCall(PetscCDRemoveAllAt(agg_llists, lid1));
920             }
921             PetscCheck((pt2 - sbuff) == (ptrdiff_t)scount, PETSC_COMM_SELF, PETSC_ERR_SUP, "buffer size != num write: %zu %d", pt2 - sbuff, scount);
922             /* MPIU_Isend: requested data tag2 *[lid0, n, n*[gid1] ] */
923             PetscCallMPI(MPIU_Isend(sbuff, scount, MPIU_INT, proc, tag2, comm, request));
924           }
925         } // proc_idx
926         /* receive tag2 *[gid0, n, n*[gid] ] */
927         for (PetscMPIInt proc_idx = 0; proc_idx < ncomm_procs; proc_idx++) {
928           PetscMPIInt proc;
929           PetscInt   *pt;
930           int         rcount;
931 
932           PetscCallMPI(MPI_Probe(comm_procs[proc_idx] /* MPI_ANY_SOURCE */, tag2, comm, &status));
933           PetscCallMPI(MPI_Get_count(&status, MPIU_INT, &rcount));
934           if (rcount > rbuff_sz) {
935             if (rbuff) PetscCall(PetscFree(rbuff));
936             PetscCall(PetscMalloc1(rcount, &rbuff));
937             rbuff_sz = rcount;
938           }
939           proc = status.MPI_SOURCE;
940           /* MPI_Recv:  tag1 [n, proc, n*[gid1,lid0] ] */
941           PetscCallMPI(MPI_Recv(rbuff, rcount, MPIU_INT, proc, tag2, comm, &status));
942           pt = rbuff;
943           while (pt - rbuff < rcount) {
944             PetscInt gid0 = *pt++, n = *pt++;
945 
946             while (n--) {
947               PetscInt gid1 = *pt++;
948 
949               PetscCall(PetscCDAppendID(agg_llists, gid0 - Istart, gid1));
950             }
951           }
952           PetscCheck((pt - rbuff) == (ptrdiff_t)rcount, PETSC_COMM_SELF, PETSC_ERR_SUP, "recv buffer size != num read: %zu %d", pt - rbuff, rcount);
953         }
954         /* wait for tag1 isends */
955         for (PetscMPIInt proc_idx = 0; proc_idx < ncomm_procs; proc_idx++) {
956           MPI_Request *request = (MPI_Request *)sbuffs1[proc_idx];
957 
958           PetscCallMPI(MPI_Wait(request, &status));
959           PetscCall(PetscFree(sbuffs1[proc_idx]));
960         }
961         /* wait for tag2 isends */
962         for (PetscMPIInt proc_idx = 0; proc_idx < ncomm_procs; proc_idx++) {
963           MPI_Request *request = (MPI_Request *)sbuffs2[proc_idx];
964 
965           PetscCallMPI(MPI_Wait(request, &status));
966           PetscCall(PetscFree(sbuffs2[proc_idx]));
967         }
968       } /* MPI */
969       /* set 'lghost_matched' - use locMaxEdge, ghostMaxEdge (recomputed next) */
970       if (isMPI) {
971         const PetscScalar *sbuff;
972 
973         for (PetscInt kk = 0, gid = Istart; kk < nloc; kk++, gid++) {
974           PetscScalar vval = lid_matched[kk] ? 1.0 : 0.0;
975 
976           PetscCall(VecSetValues(locMaxEdge, 1, &gid, &vval, INSERT_VALUES)); /* set with GID */
977         }
978         PetscCall(VecAssemblyBegin(locMaxEdge));
979         PetscCall(VecAssemblyEnd(locMaxEdge));
980         PetscCall(VecScatterBegin(mpimat->Mvctx, locMaxEdge, ghostMaxEdge, INSERT_VALUES, SCATTER_FORWARD));
981         PetscCall(VecScatterEnd(mpimat->Mvctx, locMaxEdge, ghostMaxEdge, INSERT_VALUES, SCATTER_FORWARD));
982         PetscCall(VecGetArrayRead(ghostMaxEdge, &sbuff));
983         for (PetscInt kk = 0; kk < num_ghosts; kk++) lghost_matched[kk] = (PetscBool)(PetscRealPart(sbuff[kk]) != 0.0);
984         PetscCall(VecRestoreArrayRead(ghostMaxEdge, &sbuff));
985       }
986       /* compute 'locMaxEdge' inside sub iteration b/c max weight can drop as neighbors are matched */
987       for (PetscInt kk = 0, gid = Istart; kk < nloc; kk++, gid++) {
988         PetscReal      max_e = 0., tt;
989         PetscScalar    vval;
990         const PetscInt lid    = kk;
991         PetscMPIInt    max_pe = rank, pe, n;
992 
993         ii = matA->i;
994         PetscCall(PetscMPIIntCast(ii[lid + 1] - ii[lid], &n));
995         aj = PetscSafePointerPlusOffset(matA->j, ii[lid]);
996         ap = PetscSafePointerPlusOffset(matA->a, ii[lid]);
997         for (PetscMPIInt jj = 0; jj < n; jj++) {
998           PetscInt lidj = aj[jj];
999 
1000           if (lid_matched[lidj]) continue; /* this is new - can change local max */
1001           if (lidj != lid && PetscRealPart(ap[jj]) > max_e) max_e = PetscRealPart(ap[jj]);
1002         }
1003         if (lid_cprowID && (ix = lid_cprowID[lid]) != -1) { /* if I have any ghost neighbors */
1004           ii = matB->compressedrow.i;
1005           PetscCall(PetscMPIIntCast(ii[ix + 1] - ii[ix], &n));
1006           ap = matB->a + ii[ix];
1007           aj = matB->j + ii[ix];
1008           for (PetscMPIInt jj = 0; jj < n; jj++) {
1009             PetscInt lidj = aj[jj];
1010 
1011             if (lghost_matched[lidj]) continue;
1012             if ((tt = PetscRealPart(ap[jj])) > max_e) max_e = tt;
1013           }
1014         }
1015         vval = max_e;
1016         PetscCall(VecSetValues(locMaxEdge, 1, &gid, &vval, INSERT_VALUES)); /* set with GID */
1017         // max PE with max edge
1018         if (lid_cprowID && (ix = lid_cprowID[lid]) != -1) { /* if I have any ghost neighbors */
1019           ii = matB->compressedrow.i;
1020           PetscCall(PetscMPIIntCast(ii[ix + 1] - ii[ix], &n));
1021           ap = matB->a + ii[ix];
1022           aj = matB->j + ii[ix];
1023           for (PetscInt jj = 0; jj < n; jj++) {
1024             PetscInt lidj = aj[jj];
1025 
1026             if (lghost_matched[lidj]) continue;
1027             if ((pe = lghost_pe[aj[jj]]) > max_pe && PetscRealPart(ap[jj]) >= max_e - MY_MEPS) max_pe = pe;
1028           }
1029         }
1030         vval = max_pe;
1031         PetscCall(VecSetValues(locMaxPE, 1, &gid, &vval, INSERT_VALUES));
1032       }
1033       PetscCall(VecAssemblyBegin(locMaxEdge));
1034       PetscCall(VecAssemblyEnd(locMaxEdge));
1035       PetscCall(VecAssemblyBegin(locMaxPE));
1036       PetscCall(VecAssemblyEnd(locMaxPE));
1037       /* compute 'lghost_max_ew' and 'lghost_max_pe' to get ready for next iteration*/
1038       if (isMPI) {
1039         const PetscScalar *buf;
1040 
1041         PetscCall(VecScatterBegin(mpimat->Mvctx, locMaxEdge, ghostMaxEdge, INSERT_VALUES, SCATTER_FORWARD));
1042         PetscCall(VecScatterEnd(mpimat->Mvctx, locMaxEdge, ghostMaxEdge, INSERT_VALUES, SCATTER_FORWARD));
1043         PetscCall(VecScatterBegin(mpimat->Mvctx, locMaxPE, ghostMaxPE, INSERT_VALUES, SCATTER_FORWARD));
1044         PetscCall(VecScatterEnd(mpimat->Mvctx, locMaxPE, ghostMaxPE, INSERT_VALUES, SCATTER_FORWARD));
1045         PetscCall(VecGetArrayRead(ghostMaxPE, &buf));
1046         for (PetscInt kk = 0; kk < num_ghosts; kk++) lghost_max_pe[kk] = (PetscMPIInt)PetscRealPart(buf[kk]); // the MAX proc of the ghost now
1047         PetscCall(VecRestoreArrayRead(ghostMaxPE, &buf));
1048       }
1049       // if no active edges, stop
1050       if (gn_act_n[0] < 1) break;
1051       // inc and check (self stopping iteration
1052       PetscCheck(old_num_edge != gn_act_n[0], PETSC_COMM_SELF, PETSC_ERR_SUP, "HEM stalled step %" PetscInt_FMT "/%" PetscInt_FMT, sub_it + 1, n_sub_its);
1053       sub_it++;
1054       PetscCheck(sub_it < n_sub_its, PETSC_COMM_SELF, PETSC_ERR_SUP, "failed to finish HEM step %" PetscInt_FMT "/%" PetscInt_FMT, sub_it + 1, n_sub_its);
1055       old_num_edge = gn_act_n[0];
1056     } /* sub_it loop */
1057     /* clean up iteration */
1058     PetscCall(PetscFree(Edges));
1059     if (isMPI) { // can be hoisted
1060       PetscCall(VecRestoreArrayRead(ghostMaxEdge, &lghost_max_ew));
1061       PetscCall(VecDestroy(&ghostMaxEdge));
1062       PetscCall(VecDestroy(&ghostMaxPE));
1063       PetscCall(PetscFree4(lghost_matched, lghost_pe, lghost_gid, lghost_max_pe));
1064     }
1065     PetscCall(VecDestroy(&locMaxEdge));
1066     PetscCall(VecDestroy(&locMaxPE));
1067     /* create next graph */
1068     {
1069       Vec diag;
1070 
1071       /* add identity for unmatched vertices so they stay alive */
1072       for (PetscInt kk = 0, gid1, gid = Istart; kk < nloc; kk++, gid++) {
1073         if (!lid_matched[kk]) {
1074           const PetscInt lid = kk;
1075           PetscCDIntNd  *pos;
1076 
1077           PetscCall(PetscCDGetHeadPos(agg_llists, lid, &pos));
1078           PetscCheck(pos, PETSC_COMM_SELF, PETSC_ERR_PLIB, "empty list in singleton: %" PetscInt_FMT, gid);
1079           PetscCall(PetscCDIntNdGetID(pos, &gid1));
1080           PetscCheck(gid1 == gid, PETSC_COMM_SELF, PETSC_ERR_PLIB, "first in list (%" PetscInt_FMT ") in singleton not %" PetscInt_FMT, gid1, gid);
1081           PetscCall(MatSetValues(P, 1, &gid, 1, &gid, &one, INSERT_VALUES));
1082         }
1083       }
1084       PetscCall(MatAssemblyBegin(P, MAT_FINAL_ASSEMBLY));
1085       PetscCall(MatAssemblyEnd(P, MAT_FINAL_ASSEMBLY));
1086 
1087       /* project to make new graph with collapsed edges */
1088       PetscCall(MatPtAP(cMat, P, MAT_INITIAL_MATRIX, 1.0, &tMat));
1089       PetscCall(MatDestroy(&P));
1090       PetscCall(MatDestroy(&cMat));
1091       cMat = tMat;
1092       PetscCall(MatCreateVecs(cMat, &diag, NULL));
1093       PetscCall(MatGetDiagonal(cMat, diag));
1094       PetscCall(VecReciprocal(diag));
1095       PetscCall(VecSqrtAbs(diag));
1096       PetscCall(MatDiagonalScale(cMat, diag, diag));
1097       PetscCall(VecDestroy(&diag));
1098     }
1099   } /* coarsen iterator */
1100 
1101   /* make fake matrix with Mat->B only for smoothed agg QR. Need this if we make an aux graph (ie, PtAP) with k > 1 */
1102   if (size > 1) {
1103     Mat           mat;
1104     PetscCDIntNd *pos;
1105     PetscInt      NN, MM, jj = 0, mxsz = 0;
1106 
1107     for (PetscInt kk = 0; kk < nloc; kk++) {
1108       PetscCall(PetscCDCountAt(agg_llists, kk, &jj));
1109       if (jj > mxsz) mxsz = jj;
1110     }
1111     PetscCall(MatGetSize(a_Gmat, &MM, &NN));
1112     if (mxsz > MM - nloc) mxsz = MM - nloc;
1113     /* matrix of ghost adj for square graph */
1114     PetscCall(MatCreateAIJ(comm, nloc, nloc, PETSC_DETERMINE, PETSC_DETERMINE, 0, NULL, mxsz, NULL, &mat));
1115     for (PetscInt lid = 0, gid = Istart; lid < nloc; lid++, gid++) {
1116       PetscCall(PetscCDGetHeadPos(agg_llists, lid, &pos));
1117       while (pos) {
1118         PetscInt gid1;
1119 
1120         PetscCall(PetscCDIntNdGetID(pos, &gid1));
1121         PetscCall(PetscCDGetNextPos(agg_llists, lid, &pos));
1122         if (gid1 < Istart || gid1 >= Istart + nloc) PetscCall(MatSetValues(mat, 1, &gid, 1, &gid1, &one, ADD_VALUES));
1123       }
1124     }
1125     PetscCall(MatAssemblyBegin(mat, MAT_FINAL_ASSEMBLY));
1126     PetscCall(MatAssemblyEnd(mat, MAT_FINAL_ASSEMBLY));
1127     PetscCall(PetscCDSetMat(agg_llists, mat));
1128     PetscCall(PetscCDDestroy(ghost_deleted_list));
1129     if (rbuff_sz) PetscCall(PetscFree(rbuff)); // always true
1130   }
1131   // move BCs into some node
1132   if (bc_list) {
1133     PetscCDIntNd *pos;
1134 
1135     PetscCall(PetscCDGetHeadPos(bc_list, 0, &pos));
1136     while (pos) {
1137       PetscInt gid1;
1138 
1139       PetscCall(PetscCDIntNdGetID(pos, &gid1));
1140       PetscCall(PetscCDGetNextPos(bc_list, 0, &pos));
1141       PetscCall(PetscCDAppendID(agg_llists, bc_agg, gid1));
1142     }
1143     PetscCall(PetscCDRemoveAllAt(bc_list, 0));
1144     PetscCall(PetscCDDestroy(bc_list));
1145   }
1146   {
1147     // check sizes -- all vertices must get in graph
1148     PetscInt sz, globalsz, MM;
1149 
1150     PetscCall(MatGetSize(a_Gmat, &MM, NULL));
1151     PetscCall(PetscCDCount(agg_llists, &sz));
1152     PetscCallMPI(MPIU_Allreduce(&sz, &globalsz, 1, MPIU_INT, MPI_SUM, comm));
1153     PetscCheck(MM == globalsz, comm, PETSC_ERR_SUP, "lost %" PetscInt_FMT " equations ?", MM - globalsz);
1154   }
1155   // cleanup
1156   PetscCall(MatDestroy(&cMat));
1157   PetscCall(PetscFree3(lid_matched, lid_cprowID, lid_max_pe));
1158   PetscCall(ISDestroy(&info_is));
1159   PetscFunctionReturn(PETSC_SUCCESS);
1160 }
1161 
1162 /*
1163    HEM coarsen, simple greedy.
1164 */
MatCoarsenApply_HEM(MatCoarsen coarse)1165 static PetscErrorCode MatCoarsenApply_HEM(MatCoarsen coarse)
1166 {
1167   Mat mat = coarse->graph;
1168 
1169   PetscFunctionBegin;
1170   PetscCall(MatCoarsenApply_HEM_private(mat, coarse->max_it, coarse->threshold, &coarse->agg_lists));
1171   PetscFunctionReturn(PETSC_SUCCESS);
1172 }
1173 
MatCoarsenView_HEM(MatCoarsen coarse,PetscViewer viewer)1174 static PetscErrorCode MatCoarsenView_HEM(MatCoarsen coarse, PetscViewer viewer)
1175 {
1176   PetscMPIInt rank;
1177   PetscBool   isascii;
1178 
1179   PetscFunctionBegin;
1180   PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)coarse), &rank));
1181   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
1182   if (isascii) {
1183     PetscCDIntNd     *pos, *pos2;
1184     PetscViewerFormat format;
1185 
1186     PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " matching steps with threshold = %g\n", coarse->max_it, (double)coarse->threshold));
1187     PetscCall(PetscViewerGetFormat(viewer, &format));
1188     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1189       if (coarse->agg_lists) {
1190         PetscCall(PetscViewerASCIIPushSynchronized(viewer));
1191         for (PetscInt kk = 0; kk < coarse->agg_lists->size; kk++) {
1192           PetscCall(PetscCDGetHeadPos(coarse->agg_lists, kk, &pos));
1193           if ((pos2 = pos)) PetscCall(PetscViewerASCIISynchronizedPrintf(viewer, "selected local %" PetscInt_FMT ": ", kk));
1194           while (pos) {
1195             PetscInt gid1;
1196 
1197             PetscCall(PetscCDIntNdGetID(pos, &gid1));
1198             PetscCall(PetscCDGetNextPos(coarse->agg_lists, kk, &pos));
1199             PetscCall(PetscViewerASCIISynchronizedPrintf(viewer, " %" PetscInt_FMT " ", gid1));
1200           }
1201           if (pos2) PetscCall(PetscViewerASCIISynchronizedPrintf(viewer, "\n"));
1202         }
1203         PetscCall(PetscViewerFlush(viewer));
1204         PetscCall(PetscViewerASCIIPopSynchronized(viewer));
1205       } else {
1206         PetscCall(PetscViewerASCIIPrintf(viewer, "  HEM aggregator lists are not available\n"));
1207       }
1208     }
1209   }
1210   PetscFunctionReturn(PETSC_SUCCESS);
1211 }
1212 
1213 /*MC
1214    MATCOARSENHEM - A coarsener that uses HEM a simple greedy coarsener
1215 
1216    Level: beginner
1217 
1218 .seealso: `MatCoarsen`, `MatCoarsenMISKSetDistance()`, `MatCoarsenApply()`, `MatCoarsenSetType()`, `MatCoarsenType`, `MatCoarsenCreate()`, `MATCOARSENMISK`, `MATCOARSENMIS`
1219 M*/
1220 
MatCoarsenCreate_HEM(MatCoarsen coarse)1221 PETSC_EXTERN PetscErrorCode MatCoarsenCreate_HEM(MatCoarsen coarse)
1222 {
1223   PetscFunctionBegin;
1224   coarse->ops->apply = MatCoarsenApply_HEM;
1225   coarse->ops->view  = MatCoarsenView_HEM;
1226   coarse->max_it     = 4;
1227   PetscFunctionReturn(PETSC_SUCCESS);
1228 }
1229