Actual source code: gamg.c

  1: /*
  2:  GAMG geometric-algebric multigrid PC - Mark Adams 2011
  3:  */
  4: #include <../src/ksp/pc/impls/gamg/gamg.h>
  5: #include <../src/ksp/ksp/impls/cheby/chebyshevimpl.h>

  7: #if defined(PETSC_HAVE_CUDA)
  8:   #include <cuda_runtime.h>
  9: #endif

 11: #if defined(PETSC_HAVE_HIP)
 12:   #include <hip/hip_runtime.h>
 13: #endif

 15: PetscLogEvent petsc_gamg_setup_events[GAMG_NUM_SET];
 16: PetscLogEvent petsc_gamg_setup_matmat_events[PETSC_MG_MAXLEVELS][3];

 18: // #define GAMG_STAGES
 19: #if defined(GAMG_STAGES)
 20: static PetscLogStage gamg_stages[PETSC_MG_MAXLEVELS];
 21: #endif

 23: static PetscFunctionList GAMGList = NULL;
 24: static PetscBool         PCGAMGPackageInitialized;

 26: static PetscErrorCode PCReset_GAMG(PC pc)
 27: {
 28:   PC_MG   *mg      = (PC_MG *)pc->data;
 29:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

 31:   PetscFunctionBegin;
 32:   PetscCall(PetscFree(pc_gamg->data));
 33:   pc_gamg->data_sz = 0;
 34:   PetscCall(PetscFree(pc_gamg->orig_data));
 35:   for (PetscInt level = 0; level < PETSC_MG_MAXLEVELS; level++) {
 36:     mg->min_eigen_DinvA[level] = 0;
 37:     mg->max_eigen_DinvA[level] = 0;
 38:   }
 39:   pc_gamg->emin = 0;
 40:   pc_gamg->emax = 0;
 41:   PetscCall(PCReset_MG(pc));
 42:   PetscFunctionReturn(PETSC_SUCCESS);
 43: }

 45: /*
 46:    PCGAMGCreateLevel_GAMG: create coarse op with RAP.  repartition and/or reduce number
 47:      of active processors.

 49:    Input Parameter:
 50:    . pc - parameters + side effect: coarse data in 'pc_gamg->data' and
 51:           'pc_gamg->data_sz' are changed via repartitioning/reduction.
 52:    . Amat_fine - matrix on this fine (k) level
 53:    . cr_bs - coarse block size
 54:    In/Output Parameter:
 55:    . a_P_inout - prolongation operator to the next level (k-->k-1)
 56:    . a_nactive_proc - number of active procs
 57:    Output Parameter:
 58:    . a_Amat_crs - coarse matrix that is created (k-1)
 59: */
 60: static PetscErrorCode PCGAMGCreateLevel_GAMG(PC pc, Mat Amat_fine, PetscInt cr_bs, Mat *a_P_inout, Mat *a_Amat_crs, PetscMPIInt *a_nactive_proc, IS *Pcolumnperm, PetscBool is_last)
 61: {
 62:   PC_MG      *mg      = (PC_MG *)pc->data;
 63:   PC_GAMG    *pc_gamg = (PC_GAMG *)mg->innerctx;
 64:   Mat         Cmat, Pold = *a_P_inout;
 65:   MPI_Comm    comm;
 66:   PetscMPIInt rank, size, new_size, nactive = *a_nactive_proc;
 67:   PetscInt    ncrs_eq, ncrs, f_bs;

 69:   PetscFunctionBegin;
 70:   PetscCall(PetscObjectGetComm((PetscObject)Amat_fine, &comm));
 71:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
 72:   PetscCallMPI(MPI_Comm_size(comm, &size));
 73:   PetscCall(MatGetBlockSize(Amat_fine, &f_bs));
 74:   PetscCall(PetscLogEventBegin(petsc_gamg_setup_events[GAMG_PTAP], 0, 0, 0, 0));
 75:   PetscCall(PetscLogEventBegin(petsc_gamg_setup_matmat_events[pc_gamg->current_level][1], 0, 0, 0, 0));
 76:   PetscCall(MatPtAP(Amat_fine, Pold, MAT_INITIAL_MATRIX, 2.0, &Cmat));
 77:   PetscCall(PetscLogEventEnd(petsc_gamg_setup_matmat_events[pc_gamg->current_level][1], 0, 0, 0, 0));
 78:   PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_PTAP], 0, 0, 0, 0));

 80:   if (Pcolumnperm) *Pcolumnperm = NULL;

 82:   /* set 'ncrs' (nodes), 'ncrs_eq' (equations)*/
 83:   PetscCall(MatGetLocalSize(Cmat, &ncrs_eq, NULL));
 84:   if (pc_gamg->data_cell_rows > 0) {
 85:     ncrs = pc_gamg->data_sz / pc_gamg->data_cell_cols / pc_gamg->data_cell_rows;
 86:   } else {
 87:     PetscInt bs;
 88:     PetscCall(MatGetBlockSize(Cmat, &bs));
 89:     ncrs = ncrs_eq / bs;
 90:   }
 91:   /* get number of PEs to make active 'new_size', reduce, can be any integer 1-P */
 92:   if (pc_gamg->level_reduction_factors[pc_gamg->current_level] == 0 && PetscDefined(HAVE_CUDA) && pc_gamg->current_level == 0) { /* 0 turns reducing to 1 process/device on; do for HIP, etc. */
 93: #if defined(PETSC_HAVE_CUDA)
 94:     PetscShmComm pshmcomm;
 95:     PetscMPIInt  locrank;
 96:     MPI_Comm     loccomm;
 97:     PetscInt     s_nnodes, r_nnodes, new_new_size;
 98:     cudaError_t  cerr;
 99:     int          devCount;
100:     PetscCall(PetscShmCommGet(comm, &pshmcomm));
101:     PetscCall(PetscShmCommGetMpiShmComm(pshmcomm, &loccomm));
102:     PetscCallMPI(MPI_Comm_rank(loccomm, &locrank));
103:     s_nnodes = !locrank;
104:     PetscCall(MPIU_Allreduce(&s_nnodes, &r_nnodes, 1, MPIU_INT, MPI_SUM, comm));
105:     PetscCheck((size % r_nnodes) == 0, PETSC_COMM_SELF, PETSC_ERR_PLIB, "odd number of nodes np=%d nnodes%" PetscInt_FMT, size, r_nnodes);
106:     devCount = 0;
107:     cerr     = cudaGetDeviceCount(&devCount);
108:     cudaGetLastError();                         /* Reset the last error */
109:     if (cerr == cudaSuccess && devCount >= 1) { /* There are devices, else go to heuristic */
110:       new_new_size = r_nnodes * devCount;
111:       new_size     = new_new_size;
112:       PetscCall(PetscInfo(pc, "%s: Fine grid with Cuda. %" PetscInt_FMT " nodes. Change new active set size %d --> %d (devCount=%d #nodes=%" PetscInt_FMT ")\n", ((PetscObject)pc)->prefix, r_nnodes, nactive, new_size, devCount, r_nnodes));
113:     } else {
114:       PetscCall(PetscInfo(pc, "%s: With Cuda but no device. Use heuristics.\n", ((PetscObject)pc)->prefix));
115:       goto HEURISTIC;
116:     }
117: #else
118:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "should not be here");
119: #endif
120:   } else if (pc_gamg->level_reduction_factors[pc_gamg->current_level] > 0) {
121:     if (nactive < pc_gamg->level_reduction_factors[pc_gamg->current_level]) {
122:       new_size = 1;
123:       PetscCall(PetscInfo(pc, "%s: reduction factor too small for %d active processes: reduce to one process\n", ((PetscObject)pc)->prefix, new_size));
124:     } else {
125:       PetscCheck(nactive % pc_gamg->level_reduction_factors[pc_gamg->current_level] == 0, PETSC_COMM_SELF, PETSC_ERR_PLIB, "odd number of active process %d wrt reduction factor %" PetscInt_FMT, nactive, pc_gamg->level_reduction_factors[pc_gamg->current_level]);
126:       new_size = nactive / pc_gamg->level_reduction_factors[pc_gamg->current_level];
127:       PetscCall(PetscInfo(pc, "%s: Manually setting reduction to %d active processes (%d/%" PetscInt_FMT ")\n", ((PetscObject)pc)->prefix, new_size, nactive, pc_gamg->level_reduction_factors[pc_gamg->current_level]));
128:     }
129:   } else if (is_last && !pc_gamg->use_parallel_coarse_grid_solver) {
130:     new_size = 1;
131:     PetscCall(PetscInfo(pc, "%s: Force coarsest grid reduction to %d active processes\n", ((PetscObject)pc)->prefix, new_size));
132:   } else {
133:     PetscInt ncrs_eq_glob;
134: #if defined(PETSC_HAVE_CUDA)
135:   HEURISTIC:
136: #endif
137:     PetscCall(MatGetSize(Cmat, &ncrs_eq_glob, NULL));
138:     new_size = (PetscMPIInt)((float)ncrs_eq_glob / (float)pc_gamg->min_eq_proc + 0.5); /* hardwire min. number of eq/proc */
139:     if (!new_size) new_size = 1;                                                       /* not likely, possible? */
140:     else if (new_size >= nactive) new_size = nactive;                                  /* no change, rare */
141:     PetscCall(PetscInfo(pc, "%s: Coarse grid reduction from %d to %d active processes\n", ((PetscObject)pc)->prefix, nactive, new_size));
142:   }
143:   if (new_size == nactive) {
144:     *a_Amat_crs = Cmat; /* output - no repartitioning or reduction - could bail here */
145:     if (new_size < size) {
146:       /* odd case where multiple coarse grids are on one processor or no coarsening ... */
147:       PetscCall(PetscInfo(pc, "%s: reduced grid using same number of processors (%d) as last grid (use larger coarse grid)\n", ((PetscObject)pc)->prefix, nactive));
148:       if (pc_gamg->cpu_pin_coarse_grids) {
149:         PetscCall(MatBindToCPU(*a_Amat_crs, PETSC_TRUE));
150:         PetscCall(MatBindToCPU(*a_P_inout, PETSC_TRUE));
151:       }
152:     }
153:     /* we know that the grid structure can be reused in MatPtAP */
154:   } else { /* reduce active processors - we know that the grid structure can NOT be reused in MatPtAP */
155:     PetscInt *counts, *newproc_idx, ii, jj, kk, strideNew, *tidx, ncrs_new, ncrs_eq_new, nloc_old, expand_factor = 1, rfactor = 1;
156:     IS        is_eq_newproc, is_eq_num, is_eq_num_prim, new_eq_indices;
157:     PetscCall(PetscLogEventBegin(petsc_gamg_setup_events[GAMG_REDUCE], 0, 0, 0, 0));
158:     nloc_old = ncrs_eq / cr_bs;
159:     PetscCheck(ncrs_eq % cr_bs == 0, PETSC_COMM_SELF, PETSC_ERR_PLIB, "ncrs_eq %" PetscInt_FMT " not divisible by cr_bs %" PetscInt_FMT, ncrs_eq, cr_bs);
160:     /* get new_size and rfactor */
161:     if (pc_gamg->layout_type == PCGAMG_LAYOUT_SPREAD || !pc_gamg->repart) {
162:       /* find factor */
163:       if (new_size == 1) rfactor = size; /* don't modify */
164:       else {
165:         PetscReal best_fact = 0.;
166:         jj                  = -1;
167:         for (kk = 1; kk <= size; kk++) {
168:           if (!(size % kk)) { /* a candidate */
169:             PetscReal nactpe = (PetscReal)size / (PetscReal)kk, fact = nactpe / (PetscReal)new_size;
170:             if (fact > 1.0) fact = 1. / fact; /* keep fact < 1 */
171:             if (fact > best_fact) {
172:               best_fact = fact;
173:               jj        = kk;
174:             }
175:           }
176:         }
177:         if (jj != -1) rfactor = jj;
178:         else rfactor = 1; /* a prime */
179:         if (pc_gamg->layout_type == PCGAMG_LAYOUT_COMPACT) expand_factor = 1;
180:         else expand_factor = rfactor;
181:       }
182:       new_size = size / rfactor; /* make new size one that is factor */
183:       if (new_size == nactive) { /* no repartitioning or reduction, bail out because nested here (rare) */
184:         *a_Amat_crs = Cmat;
185:         PetscCall(PetscInfo(pc, "%s: Finding factorable processor set stopped reduction: new_size=%d, neq(loc)=%" PetscInt_FMT "\n", ((PetscObject)pc)->prefix, new_size, ncrs_eq));
186:         PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_REDUCE], 0, 0, 0, 0));
187:         PetscFunctionReturn(PETSC_SUCCESS);
188:       }
189:     }
190:     /* make 'is_eq_newproc' */
191:     PetscCall(PetscMalloc1(size, &counts));
192:     if (pc_gamg->repart) { /* Repartition Cmat_{k} and move columns of P^{k}_{k-1} and coordinates of primal part accordingly */
193:       Mat adj;
194:       PetscCall(PetscLogEventBegin(petsc_gamg_setup_events[GAMG_REPART], 0, 0, 0, 0));
195:       PetscCall(PetscInfo(pc, "%s: Repartition: size (active): %d --> %d, %" PetscInt_FMT " local equations, using %s process layout\n", ((PetscObject)pc)->prefix, *a_nactive_proc, new_size, ncrs_eq, (pc_gamg->layout_type == PCGAMG_LAYOUT_COMPACT) ? "compact" : "spread"));
196:       /* get 'adj' */
197:       if (cr_bs == 1) {
198:         PetscCall(MatConvert(Cmat, MATMPIADJ, MAT_INITIAL_MATRIX, &adj));
199:       } else {
200:         /* make a scalar matrix to partition (no Stokes here) */
201:         Mat                tMat;
202:         PetscInt           Istart_crs, Iend_crs, ncols, jj, Ii;
203:         const PetscScalar *vals;
204:         const PetscInt    *idx;
205:         PetscInt          *d_nnz, *o_nnz, M, N;
206:         static PetscInt    llev = 0; /* ugly but just used for debugging */
207:         MatType            mtype;

209:         PetscCall(PetscMalloc2(ncrs, &d_nnz, ncrs, &o_nnz));
210:         PetscCall(MatGetOwnershipRange(Cmat, &Istart_crs, &Iend_crs));
211:         PetscCall(MatGetSize(Cmat, &M, &N));
212:         for (Ii = Istart_crs, jj = 0; Ii < Iend_crs; Ii += cr_bs, jj++) {
213:           PetscCall(MatGetRow(Cmat, Ii, &ncols, NULL, NULL));
214:           d_nnz[jj] = ncols / cr_bs;
215:           o_nnz[jj] = ncols / cr_bs;
216:           PetscCall(MatRestoreRow(Cmat, Ii, &ncols, NULL, NULL));
217:           if (d_nnz[jj] > ncrs) d_nnz[jj] = ncrs;
218:           if (o_nnz[jj] > (M / cr_bs - ncrs)) o_nnz[jj] = M / cr_bs - ncrs;
219:         }

221:         PetscCall(MatGetType(Amat_fine, &mtype));
222:         PetscCall(MatCreate(comm, &tMat));
223:         PetscCall(MatSetSizes(tMat, ncrs, ncrs, PETSC_DETERMINE, PETSC_DETERMINE));
224:         PetscCall(MatSetType(tMat, mtype));
225:         PetscCall(MatSeqAIJSetPreallocation(tMat, 0, d_nnz));
226:         PetscCall(MatMPIAIJSetPreallocation(tMat, 0, d_nnz, 0, o_nnz));
227:         PetscCall(PetscFree2(d_nnz, o_nnz));

229:         for (ii = Istart_crs; ii < Iend_crs; ii++) {
230:           PetscInt dest_row = ii / cr_bs;
231:           PetscCall(MatGetRow(Cmat, ii, &ncols, &idx, &vals));
232:           for (jj = 0; jj < ncols; jj++) {
233:             PetscInt    dest_col = idx[jj] / cr_bs;
234:             PetscScalar v        = 1.0;
235:             PetscCall(MatSetValues(tMat, 1, &dest_row, 1, &dest_col, &v, ADD_VALUES));
236:           }
237:           PetscCall(MatRestoreRow(Cmat, ii, &ncols, &idx, &vals));
238:         }
239:         PetscCall(MatAssemblyBegin(tMat, MAT_FINAL_ASSEMBLY));
240:         PetscCall(MatAssemblyEnd(tMat, MAT_FINAL_ASSEMBLY));

242:         if (llev++ == -1) {
243:           PetscViewer viewer;
244:           char        fname[32];
245:           PetscCall(PetscSNPrintf(fname, sizeof(fname), "part_mat_%" PetscInt_FMT ".mat", llev));
246:           PetscCall(PetscViewerBinaryOpen(comm, fname, FILE_MODE_WRITE, &viewer));
247:           PetscCall(MatView(tMat, viewer));
248:           PetscCall(PetscViewerDestroy(&viewer));
249:         }
250:         PetscCall(MatConvert(tMat, MATMPIADJ, MAT_INITIAL_MATRIX, &adj));
251:         PetscCall(MatDestroy(&tMat));
252:       } /* create 'adj' */

254:       { /* partition: get newproc_idx */
255:         char            prefix[256];
256:         const char     *pcpre;
257:         const PetscInt *is_idx;
258:         MatPartitioning mpart;
259:         IS              proc_is;

261:         PetscCall(MatPartitioningCreate(comm, &mpart));
262:         PetscCall(MatPartitioningSetAdjacency(mpart, adj));
263:         PetscCall(PCGetOptionsPrefix(pc, &pcpre));
264:         PetscCall(PetscSNPrintf(prefix, sizeof(prefix), "%spc_gamg_", pcpre ? pcpre : ""));
265:         PetscCall(PetscObjectSetOptionsPrefix((PetscObject)mpart, prefix));
266:         PetscCall(MatPartitioningSetFromOptions(mpart));
267:         PetscCall(MatPartitioningSetNParts(mpart, new_size));
268:         PetscCall(MatPartitioningApply(mpart, &proc_is));
269:         PetscCall(MatPartitioningDestroy(&mpart));

271:         /* collect IS info */
272:         PetscCall(PetscMalloc1(ncrs_eq, &newproc_idx));
273:         PetscCall(ISGetIndices(proc_is, &is_idx));
274:         for (kk = jj = 0; kk < nloc_old; kk++) {
275:           for (ii = 0; ii < cr_bs; ii++, jj++) { newproc_idx[jj] = is_idx[kk] * expand_factor; /* distribution */ }
276:         }
277:         PetscCall(ISRestoreIndices(proc_is, &is_idx));
278:         PetscCall(ISDestroy(&proc_is));
279:       }
280:       PetscCall(MatDestroy(&adj));

282:       PetscCall(ISCreateGeneral(comm, ncrs_eq, newproc_idx, PETSC_COPY_VALUES, &is_eq_newproc));
283:       PetscCall(PetscFree(newproc_idx));
284:       PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_REPART], 0, 0, 0, 0));
285:     } else { /* simple aggregation of parts -- 'is_eq_newproc' */
286:       PetscInt targetPE;
287:       PetscCheck(new_size != nactive, PETSC_COMM_SELF, PETSC_ERR_PLIB, "new_size==nactive. Should not happen");
288:       PetscCall(PetscInfo(pc, "%s: Number of equations (loc) %" PetscInt_FMT " with simple aggregation\n", ((PetscObject)pc)->prefix, ncrs_eq));
289:       targetPE = (rank / rfactor) * expand_factor;
290:       PetscCall(ISCreateStride(comm, ncrs_eq, targetPE, 0, &is_eq_newproc));
291:     } /* end simple 'is_eq_newproc' */

293:     /*
294:       Create an index set from the is_eq_newproc index set to indicate the mapping TO
295:     */
296:     PetscCall(ISPartitioningToNumbering(is_eq_newproc, &is_eq_num));
297:     is_eq_num_prim = is_eq_num;
298:     /*
299:       Determine how many equations/vertices are assigned to each processor
300:     */
301:     PetscCall(ISPartitioningCount(is_eq_newproc, size, counts));
302:     ncrs_eq_new = counts[rank];
303:     PetscCall(ISDestroy(&is_eq_newproc));
304:     ncrs_new = ncrs_eq_new / cr_bs;

306:     PetscCall(PetscFree(counts));
307:     /* data movement scope -- this could be moved to subclasses so that we don't try to cram all auxiliary data into some complex abstracted thing */
308:     {
309:       Vec             src_crd, dest_crd;
310:       const PetscInt *idx, ndata_rows = pc_gamg->data_cell_rows, ndata_cols = pc_gamg->data_cell_cols, node_data_sz = ndata_rows * ndata_cols;
311:       VecScatter      vecscat;
312:       PetscScalar    *array;
313:       IS              isscat;
314:       /* move data (for primal equations only) */
315:       /* Create a vector to contain the newly ordered element information */
316:       PetscCall(VecCreate(comm, &dest_crd));
317:       PetscCall(VecSetSizes(dest_crd, node_data_sz * ncrs_new, PETSC_DECIDE));
318:       PetscCall(VecSetType(dest_crd, VECSTANDARD)); /* this is needed! */
319:       /*
320:         There are 'ndata_rows*ndata_cols' data items per node, (one can think of the vectors of having
321:         a block size of ...).  Note, ISs are expanded into equation space by 'cr_bs'.
322:       */
323:       PetscCall(PetscMalloc1(ncrs * node_data_sz, &tidx));
324:       PetscCall(ISGetIndices(is_eq_num_prim, &idx));
325:       for (ii = 0, jj = 0; ii < ncrs; ii++) {
326:         PetscInt id = idx[ii * cr_bs] / cr_bs; /* get node back */
327:         for (kk = 0; kk < node_data_sz; kk++, jj++) tidx[jj] = id * node_data_sz + kk;
328:       }
329:       PetscCall(ISRestoreIndices(is_eq_num_prim, &idx));
330:       PetscCall(ISCreateGeneral(comm, node_data_sz * ncrs, tidx, PETSC_COPY_VALUES, &isscat));
331:       PetscCall(PetscFree(tidx));
332:       /*
333:         Create a vector to contain the original vertex information for each element
334:       */
335:       PetscCall(VecCreateSeq(PETSC_COMM_SELF, node_data_sz * ncrs, &src_crd));
336:       for (jj = 0; jj < ndata_cols; jj++) {
337:         const PetscInt stride0 = ncrs * pc_gamg->data_cell_rows;
338:         for (ii = 0; ii < ncrs; ii++) {
339:           for (kk = 0; kk < ndata_rows; kk++) {
340:             PetscInt    ix = ii * ndata_rows + kk + jj * stride0, jx = ii * node_data_sz + kk * ndata_cols + jj;
341:             PetscScalar tt = (PetscScalar)pc_gamg->data[ix];
342:             PetscCall(VecSetValues(src_crd, 1, &jx, &tt, INSERT_VALUES));
343:           }
344:         }
345:       }
346:       PetscCall(VecAssemblyBegin(src_crd));
347:       PetscCall(VecAssemblyEnd(src_crd));
348:       /*
349:         Scatter the element vertex information (still in the original vertex ordering)
350:         to the correct processor
351:       */
352:       PetscCall(VecScatterCreate(src_crd, NULL, dest_crd, isscat, &vecscat));
353:       PetscCall(ISDestroy(&isscat));
354:       PetscCall(VecScatterBegin(vecscat, src_crd, dest_crd, INSERT_VALUES, SCATTER_FORWARD));
355:       PetscCall(VecScatterEnd(vecscat, src_crd, dest_crd, INSERT_VALUES, SCATTER_FORWARD));
356:       PetscCall(VecScatterDestroy(&vecscat));
357:       PetscCall(VecDestroy(&src_crd));
358:       /*
359:         Put the element vertex data into a new allocation of the gdata->ele
360:       */
361:       PetscCall(PetscFree(pc_gamg->data));
362:       PetscCall(PetscMalloc1(node_data_sz * ncrs_new, &pc_gamg->data));

364:       pc_gamg->data_sz = node_data_sz * ncrs_new;
365:       strideNew        = ncrs_new * ndata_rows;

367:       PetscCall(VecGetArray(dest_crd, &array));
368:       for (jj = 0; jj < ndata_cols; jj++) {
369:         for (ii = 0; ii < ncrs_new; ii++) {
370:           for (kk = 0; kk < ndata_rows; kk++) {
371:             PetscInt ix = ii * ndata_rows + kk + jj * strideNew, jx = ii * node_data_sz + kk * ndata_cols + jj;
372:             pc_gamg->data[ix] = PetscRealPart(array[jx]);
373:           }
374:         }
375:       }
376:       PetscCall(VecRestoreArray(dest_crd, &array));
377:       PetscCall(VecDestroy(&dest_crd));
378:     }
379:     /* move A and P (columns) with new layout */
380:     /*
381:       Invert for MatCreateSubMatrix
382:     */
383:     PetscCall(ISInvertPermutation(is_eq_num, ncrs_eq_new, &new_eq_indices));
384:     PetscCall(ISSort(new_eq_indices)); /* is this needed? */
385:     PetscCall(ISSetBlockSize(new_eq_indices, cr_bs));
386:     if (is_eq_num != is_eq_num_prim) { PetscCall(ISDestroy(&is_eq_num_prim)); /* could be same as 'is_eq_num' */ }
387:     if (Pcolumnperm) {
388:       PetscCall(PetscObjectReference((PetscObject)new_eq_indices));
389:       *Pcolumnperm = new_eq_indices;
390:     }
391:     PetscCall(ISDestroy(&is_eq_num));

393:     /* 'a_Amat_crs' output */
394:     {
395:       Mat       mat;
396:       PetscBool isset, isspd, isher;
397: #if !defined(PETSC_USE_COMPLEX)
398:       PetscBool issym;
399: #endif

401:       PetscCall(MatCreateSubMatrix(Cmat, new_eq_indices, new_eq_indices, MAT_INITIAL_MATRIX, &mat));
402:       PetscCall(MatIsSPDKnown(Cmat, &isset, &isspd)); // like MatPropagateSymmetryOptions, but should set MAT_STRUCTURALLY_SYMMETRIC ?
403:       if (isset) PetscCall(MatSetOption(mat, MAT_SPD, isspd));
404:       else {
405:         PetscCall(MatIsHermitianKnown(Cmat, &isset, &isher));
406:         if (isset) PetscCall(MatSetOption(mat, MAT_HERMITIAN, isher));
407:         else {
408: #if !defined(PETSC_USE_COMPLEX)
409:           PetscCall(MatIsSymmetricKnown(Cmat, &isset, &issym));
410:           if (isset) PetscCall(MatSetOption(mat, MAT_SYMMETRIC, issym));
411: #endif
412:         }
413:       }
414:       *a_Amat_crs = mat;
415:     }
416:     PetscCall(MatDestroy(&Cmat));

418:     /* prolongator */
419:     {
420:       IS       findices;
421:       PetscInt Istart, Iend;
422:       Mat      Pnew;

424:       PetscCall(MatGetOwnershipRange(Pold, &Istart, &Iend));
425:       PetscCall(ISCreateStride(comm, Iend - Istart, Istart, 1, &findices));
426:       PetscCall(ISSetBlockSize(findices, f_bs));
427:       PetscCall(MatCreateSubMatrix(Pold, findices, new_eq_indices, MAT_INITIAL_MATRIX, &Pnew));
428:       PetscCall(ISDestroy(&findices));
429:       PetscCall(MatSetOption(Pnew, MAT_FORM_EXPLICIT_TRANSPOSE, PETSC_TRUE));

431:       PetscCall(MatDestroy(a_P_inout));

433:       /* output - repartitioned */
434:       *a_P_inout = Pnew;
435:     }
436:     PetscCall(ISDestroy(&new_eq_indices));

438:     *a_nactive_proc = new_size; /* output */

440:     /* pinning on reduced grids, not a bad heuristic and optimization gets folded into process reduction optimization */
441:     if (pc_gamg->cpu_pin_coarse_grids) {
442: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
443:       static PetscInt llev = 2;
444:       PetscCall(PetscInfo(pc, "%s: Pinning level %" PetscInt_FMT " to the CPU\n", ((PetscObject)pc)->prefix, llev++));
445: #endif
446:       PetscCall(MatBindToCPU(*a_Amat_crs, PETSC_TRUE));
447:       PetscCall(MatBindToCPU(*a_P_inout, PETSC_TRUE));
448:       if (1) { /* HACK: move this to MatBindCPU_MPIAIJXXX; lvec is created, need to pin it, this is done in MatSetUpMultiply_MPIAIJ. Hack */
449:         Mat         A = *a_Amat_crs, P = *a_P_inout;
450:         PetscMPIInt size;
451:         PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)A), &size));
452:         if (size > 1) {
453:           Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data, *p = (Mat_MPIAIJ *)P->data;
454:           PetscCall(VecBindToCPU(a->lvec, PETSC_TRUE));
455:           PetscCall(VecBindToCPU(p->lvec, PETSC_TRUE));
456:         }
457:       }
458:     }
459:     PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_REDUCE], 0, 0, 0, 0));
460:   } // processor reduce
461:   PetscFunctionReturn(PETSC_SUCCESS);
462: }

464: // used in GEO
465: PetscErrorCode PCGAMGSquareGraph_GAMG(PC a_pc, Mat Gmat1, Mat *Gmat2)
466: {
467:   const char *prefix;
468:   char        addp[32];
469:   PC_MG      *mg      = (PC_MG *)a_pc->data;
470:   PC_GAMG    *pc_gamg = (PC_GAMG *)mg->innerctx;

472:   PetscFunctionBegin;
473:   PetscCall(PCGetOptionsPrefix(a_pc, &prefix));
474:   PetscCall(PetscInfo(a_pc, "%s: Square Graph on level %" PetscInt_FMT "\n", ((PetscObject)a_pc)->prefix, pc_gamg->current_level + 1));
475:   PetscCall(MatProductCreate(Gmat1, Gmat1, NULL, Gmat2));
476:   PetscCall(MatSetOptionsPrefix(*Gmat2, prefix));
477:   PetscCall(PetscSNPrintf(addp, sizeof(addp), "pc_gamg_square_%" PetscInt_FMT "_", pc_gamg->current_level));
478:   PetscCall(MatAppendOptionsPrefix(*Gmat2, addp));
479:   if ((*Gmat2)->structurally_symmetric == PETSC_BOOL3_TRUE) {
480:     PetscCall(MatProductSetType(*Gmat2, MATPRODUCT_AB));
481:   } else {
482:     PetscCall(MatSetOption(Gmat1, MAT_FORM_EXPLICIT_TRANSPOSE, PETSC_TRUE));
483:     PetscCall(MatProductSetType(*Gmat2, MATPRODUCT_AtB));
484:   }
485:   PetscCall(MatProductSetFromOptions(*Gmat2));
486:   PetscCall(PetscLogEventBegin(petsc_gamg_setup_matmat_events[pc_gamg->current_level][0], 0, 0, 0, 0));
487:   PetscCall(MatProductSymbolic(*Gmat2));
488:   PetscCall(PetscLogEventEnd(petsc_gamg_setup_matmat_events[pc_gamg->current_level][0], 0, 0, 0, 0));
489:   PetscCall(MatProductClear(*Gmat2));
490:   /* we only need the sparsity, cheat and tell PETSc the matrix has been assembled */
491:   (*Gmat2)->assembled = PETSC_TRUE;
492:   PetscFunctionReturn(PETSC_SUCCESS);
493: }

495: /*
496:    PCSetUp_GAMG - Prepares for the use of the GAMG preconditioner
497:                     by setting data structures and options.

499:    Input Parameter:
500: .  pc - the preconditioner context

502: */
503: static PetscErrorCode PCSetUp_GAMG(PC pc)
504: {
505:   PC_MG      *mg      = (PC_MG *)pc->data;
506:   PC_GAMG    *pc_gamg = (PC_GAMG *)mg->innerctx;
507:   Mat         Pmat    = pc->pmat;
508:   PetscInt    fine_level, level, level1, bs, M, N, qq, lidx, nASMBlocksArr[PETSC_MG_MAXLEVELS], cr_bs;
509:   MPI_Comm    comm;
510:   PetscMPIInt rank, size, nactivepe;
511:   Mat         Aarr[PETSC_MG_MAXLEVELS], Parr[PETSC_MG_MAXLEVELS];
512:   IS         *ASMLocalIDsArr[PETSC_MG_MAXLEVELS];
513:   PetscBool   is_last = PETSC_FALSE;
514: #if defined(PETSC_USE_INFO)
515:   PetscLogDouble nnz0 = 0., nnztot = 0.;
516:   MatInfo        info;
517: #endif

519:   PetscFunctionBegin;
520:   PetscCall(PetscObjectGetComm((PetscObject)pc, &comm));
521:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
522:   PetscCallMPI(MPI_Comm_size(comm, &size));
523:   PetscCall(PetscLogEventBegin(petsc_gamg_setup_events[GAMG_SETUP], 0, 0, 0, 0));
524:   if (pc->setupcalled) {
525:     if (!pc_gamg->reuse_prol || pc->flag == DIFFERENT_NONZERO_PATTERN) {
526:       /* reset everything */
527:       PetscCall(PCReset_MG(pc));
528:       pc->setupcalled = 0;
529:     } else {
530:       PC_MG_Levels **mglevels = mg->levels;
531:       /* just do Galerkin grids */
532:       Mat B, dA, dB;
533:       if (pc_gamg->Nlevels > 1) {
534:         PetscInt gl;
535:         /* currently only handle case where mat and pmat are the same on coarser levels */
536:         PetscCall(KSPGetOperators(mglevels[pc_gamg->Nlevels - 1]->smoothd, &dA, &dB));
537:         /* (re)set to get dirty flag */
538:         PetscCall(KSPSetOperators(mglevels[pc_gamg->Nlevels - 1]->smoothd, dA, dB));

540:         for (level = pc_gamg->Nlevels - 2, gl = 0; level >= 0; level--, gl++) {
541:           MatReuse reuse = MAT_INITIAL_MATRIX;
542: #if defined(GAMG_STAGES)
543:           PetscCall(PetscLogStagePush(gamg_stages[gl]));
544: #endif
545:           /* matrix structure can change from repartitioning or process reduction but don't know if we have process reduction here. Should fix */
546:           PetscCall(KSPGetOperators(mglevels[level]->smoothd, NULL, &B));
547:           if (B->product) {
548:             if (B->product->A == dB && B->product->B == mglevels[level + 1]->interpolate) reuse = MAT_REUSE_MATRIX;
549:           }
550:           if (reuse == MAT_INITIAL_MATRIX) PetscCall(MatDestroy(&mglevels[level]->A));
551:           if (reuse == MAT_REUSE_MATRIX) {
552:             PetscCall(PetscInfo(pc, "%s: RAP after initial setup, reuse matrix level %" PetscInt_FMT "\n", ((PetscObject)pc)->prefix, level));
553:           } else {
554:             PetscCall(PetscInfo(pc, "%s: RAP after initial setup, with repartitioning (new matrix) level %" PetscInt_FMT "\n", ((PetscObject)pc)->prefix, level));
555:           }
556:           PetscCall(PetscLogEventBegin(petsc_gamg_setup_matmat_events[gl][1], 0, 0, 0, 0));
557:           PetscCall(MatPtAP(dB, mglevels[level + 1]->interpolate, reuse, PETSC_DEFAULT, &B));
558:           PetscCall(PetscLogEventEnd(petsc_gamg_setup_matmat_events[gl][1], 0, 0, 0, 0));
559:           if (reuse == MAT_INITIAL_MATRIX) mglevels[level]->A = B;
560:           PetscCall(KSPSetOperators(mglevels[level]->smoothd, B, B));
561:           // check for redoing eigen estimates
562:           if (pc_gamg->recompute_esteig) {
563:             PetscBool ischeb;
564:             KSP       smoother;
565:             PetscCall(PCMGGetSmoother(pc, level + 1, &smoother));
566:             PetscCall(PetscObjectTypeCompare((PetscObject)smoother, KSPCHEBYSHEV, &ischeb));
567:             if (ischeb) {
568:               KSP_Chebyshev *cheb = (KSP_Chebyshev *)smoother->data;
569:               cheb->emin_provided = 0;
570:               cheb->emax_provided = 0;
571:             }
572:             /* we could call PetscCall(KSPChebyshevSetEigenvalues(smoother, 0, 0)); but the logic does not work properly */
573:           }
574:           // inc
575:           dB = B;
576: #if defined(GAMG_STAGES)
577:           PetscCall(PetscLogStagePop());
578: #endif
579:         }
580:       }

582:       PetscCall(PCSetUp_MG(pc));
583:       PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_SETUP], 0, 0, 0, 0));
584:       PetscFunctionReturn(PETSC_SUCCESS);
585:     }
586:   }

588:   if (!pc_gamg->data) {
589:     if (pc_gamg->orig_data) {
590:       PetscCall(MatGetBlockSize(Pmat, &bs));
591:       PetscCall(MatGetLocalSize(Pmat, &qq, NULL));

593:       pc_gamg->data_sz        = (qq / bs) * pc_gamg->orig_data_cell_rows * pc_gamg->orig_data_cell_cols;
594:       pc_gamg->data_cell_rows = pc_gamg->orig_data_cell_rows;
595:       pc_gamg->data_cell_cols = pc_gamg->orig_data_cell_cols;

597:       PetscCall(PetscMalloc1(pc_gamg->data_sz, &pc_gamg->data));
598:       for (qq = 0; qq < pc_gamg->data_sz; qq++) pc_gamg->data[qq] = pc_gamg->orig_data[qq];
599:     } else {
600:       PetscCheck(pc_gamg->ops->createdefaultdata, comm, PETSC_ERR_PLIB, "'createdefaultdata' not set(?) need to support NULL data");
601:       PetscCall(pc_gamg->ops->createdefaultdata(pc, Pmat));
602:     }
603:   }

605:   /* cache original data for reuse */
606:   if (!pc_gamg->orig_data && (PetscBool)(!pc_gamg->reuse_prol)) {
607:     PetscCall(PetscMalloc1(pc_gamg->data_sz, &pc_gamg->orig_data));
608:     for (qq = 0; qq < pc_gamg->data_sz; qq++) pc_gamg->orig_data[qq] = pc_gamg->data[qq];
609:     pc_gamg->orig_data_cell_rows = pc_gamg->data_cell_rows;
610:     pc_gamg->orig_data_cell_cols = pc_gamg->data_cell_cols;
611:   }

613:   /* get basic dims */
614:   PetscCall(MatGetBlockSize(Pmat, &bs));
615:   PetscCall(MatGetSize(Pmat, &M, NULL));

617: #if defined(PETSC_USE_INFO)
618:   PetscCall(MatGetInfo(Pmat, MAT_GLOBAL_SUM, &info)); /* global reduction */
619:   nnz0   = info.nz_used;
620:   nnztot = info.nz_used;
621: #endif
622:   PetscCall(PetscInfo(pc, "%s: level %d) N=%" PetscInt_FMT ", n data rows=%" PetscInt_FMT ", n data cols=%" PetscInt_FMT ", nnz/row (ave)=%" PetscInt_FMT ", block size %d, np=%d\n", ((PetscObject)pc)->prefix, 0, M, pc_gamg->data_cell_rows, pc_gamg->data_cell_cols, (PetscInt)(nnz0 / (PetscReal)M + 0.5), (int)bs, size));

624:   /* Get A_i and R_i */
625:   for (level = 0, Aarr[0] = Pmat, nactivepe = size; level < (pc_gamg->Nlevels - 1) && (level == 0 || M > pc_gamg->coarse_eq_limit); level++) {
626:     pc_gamg->current_level = level;
627:     PetscCheck(level < PETSC_MG_MAXLEVELS - 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Too many levels %" PetscInt_FMT, level + 1);
628:     level1 = level + 1;
629: #if defined(GAMG_STAGES)
630:     if (!gamg_stages[level]) {
631:       char str[32];
632:       PetscCall(PetscSNPrintf(str, PETSC_STATIC_ARRAY_LENGTH(str), "GAMG Level %d", (int)level));
633:       PetscCall(PetscLogStageRegister(str, &gamg_stages[level]));
634:     }
635:     PetscCall(PetscLogStagePush(gamg_stages[level]));
636: #endif
637:     /* construct prolongator - Parr[level1] */
638:     if (level == 0 && pc_gamg->injection_index_size > 0) {
639:       Mat      Prol;
640:       MatType  mtype;
641:       PetscInt prol_m, prol_n, Prol_N = (M / bs) * pc_gamg->injection_index_size, Istart, Iend, nn, row;
642:       PetscCall(PetscInfo(pc, "Create fine grid injection space prolongation %" PetscInt_FMT " x %" PetscInt_FMT ". %s\n", M, Prol_N, pc_gamg->data ? "delete null space data" : ""));
643:       PetscCall(MatGetOwnershipRange(Pmat, &Istart, &Iend));
644:       PetscCall(MatGetLocalSize(Pmat, &prol_m, NULL)); // rows m x n
645:       prol_n = (prol_m / bs) * pc_gamg->injection_index_size;
646:       PetscCheck(pc_gamg->injection_index_size < bs, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_INCOMP, "Injection size %d must be less that block size %d", (int)pc_gamg->injection_index_size, (int)bs);
647:       PetscCall(MatGetType(Pmat, &mtype));
648:       PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &Prol));
649:       PetscCall(MatSetBlockSizes(Prol, bs, pc_gamg->injection_index_size));
650:       PetscCall(MatSetSizes(Prol, prol_m, prol_n, M, Prol_N));
651:       PetscCall(MatSetType(Prol, mtype));
652: #if PetscDefined(HAVE_DEVICE)
653:       PetscBool flg;
654:       PetscCall(MatBoundToCPU(Pmat, &flg));
655:       PetscCall(MatBindToCPU(Prol, flg));
656:       if (flg) PetscCall(MatSetBindingPropagates(Prol, PETSC_TRUE));
657: #endif
658:       PetscCall(MatSeqAIJSetPreallocation(Prol, 1, NULL));
659:       PetscCall(MatMPIAIJSetPreallocation(Prol, 1, NULL, 0, NULL));
660:       // set I \kron [1, 1, ... ]^T
661:       for (PetscInt ii = Istart, col = (Istart / bs) * pc_gamg->injection_index_size; ii < Iend; ii += bs) {
662:         const PetscScalar one = 1;
663:         for (PetscInt jj = 0; jj < pc_gamg->injection_index_size; jj++, col++) {
664:           PetscInt row = ii + pc_gamg->injection_index[jj];
665:           PetscCall(MatSetValues(Prol, 1, &row, 1, &col, &one, INSERT_VALUES));
666:         }
667:       }
668:       PetscCall(MatAssemblyBegin(Prol, MAT_FINAL_ASSEMBLY));
669:       PetscCall(MatAssemblyEnd(Prol, MAT_FINAL_ASSEMBLY));
670:       PetscCall(MatViewFromOptions(Prol, NULL, "-mat_view_injection"));
671:       PetscCall(MatGetBlockSizes(Prol, NULL, &cr_bs)); // column size
672:       Parr[level1] = Prol;
673:       // can not deal with null space -- with array of 'injection cols' we could take 'injection rows and 'injection cols' to 'data'
674:       if (pc_gamg->data) {
675:         pc_gamg->data_cell_cols      = pc_gamg->injection_index_size;
676:         pc_gamg->data_cell_rows      = pc_gamg->injection_index_size;
677:         pc_gamg->orig_data_cell_cols = 0;
678:         pc_gamg->orig_data_cell_rows = 0;
679:         PetscCall(PetscFree(pc_gamg->data));
680:         pc_gamg->data_sz = pc_gamg->injection_index_size * prol_n;
681:         PetscCall(PetscMalloc1(pc_gamg->data_sz, &pc_gamg->data));
682:         for (row = nn = 0; row < prol_n; row += pc_gamg->injection_index_size) {
683:           for (int jj = 0; jj < pc_gamg->injection_index_size; jj++) {
684:             int idx = row * pc_gamg->injection_index_size + jj * pc_gamg->injection_index_size;
685:             for (int kk = 0; kk < pc_gamg->injection_index_size; kk++, nn++) { pc_gamg->data[idx + kk] = (jj == kk) ? 1 : 0; }
686:           }
687:         }
688:         PetscCheck(nn == pc_gamg->data_sz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "nn != pc_gamg->data_sz %" PetscInt_FMT " %" PetscInt_FMT, pc_gamg->data_sz, nn);
689:       }
690:     } else {
691:       Mat               Gmat, mat;
692:       PetscCoarsenData *agg_lists;
693:       Mat               Prol11;

695:       PetscCall(PCGAMGCreateGraph(pc, Aarr[level], &Gmat));
696:       PetscCall(pc_gamg->ops->coarsen(pc, &Gmat, &agg_lists)); // Gmat may have ghosts for QR aggregates not in matrix
697:       PetscCall(PetscCDGetMat(agg_lists, &mat));
698:       if (!mat) PetscCall(PetscCDSetMat(agg_lists, Gmat));
699:       PetscCall(pc_gamg->ops->prolongator(pc, Aarr[level], agg_lists, &Prol11));
700:       /* could have failed to create new level */
701:       if (Prol11) {
702:         const char *prefix;
703:         char        addp[32];

705:         /* get new block size of coarse matrices */
706:         PetscCall(MatGetBlockSizes(Prol11, NULL, &cr_bs)); // column size

708:         if (pc_gamg->ops->optprolongator) {
709:           /* smooth */
710:           PetscCall(pc_gamg->ops->optprolongator(pc, Aarr[level], &Prol11));
711:         }

713:         if (pc_gamg->use_aggs_in_asm) {
714:           PetscInt bs;
715:           PetscCall(MatGetBlockSizes(Prol11, &bs, NULL)); // row block size
716:           PetscCall(PetscCDGetASMBlocks(agg_lists, bs, &nASMBlocksArr[level], &ASMLocalIDsArr[level]));
717:           PetscCall(PetscInfo(pc, "%d: %" PetscInt_FMT " ASM local domains,  bs = %d\n", (int)level, nASMBlocksArr[level], (int)bs));
718:         } else if (pc_gamg->asm_hem_aggs) {
719:           MatCoarsen  crs;
720:           const char *prefix;
721:           PetscInt    bs;
722:           PetscCall(PetscCDGetMat(agg_lists, &mat));
723:           if (mat == Gmat) PetscCall(PetscCDClearMat(agg_lists)); // take the Mat away from the list (yuck)
724:           PetscCall(PetscCDDestroy(agg_lists));
725:           PetscCall(PetscInfo(pc, "HEM ASM passes = %d\n", (int)pc_gamg->asm_hem_aggs));
726:           PetscCall(MatCoarsenCreate(PetscObjectComm((PetscObject)pc), &crs));
727:           PetscCall(PetscObjectGetOptionsPrefix((PetscObject)pc, &prefix));
728:           PetscCall(PetscObjectSetOptionsPrefix((PetscObject)crs, prefix));
729:           PetscCall(MatCoarsenSetFromOptions(crs)); // get strength args
730:           PetscCall(MatCoarsenSetType(crs, MATCOARSENHEM));
731:           PetscCall(MatCoarsenSetMaximumIterations(crs, pc_gamg->asm_hem_aggs));
732:           PetscCall(MatCoarsenSetAdjacency(crs, Gmat));
733:           PetscCall(MatCoarsenSetStrictAggs(crs, PETSC_TRUE));
734:           PetscCall(MatCoarsenApply(crs));
735:           PetscCall(MatCoarsenViewFromOptions(crs, NULL, "-agg_hem_mat_coarsen_view"));
736:           PetscCall(MatCoarsenGetData(crs, &agg_lists)); /* output */
737:           PetscCall(MatCoarsenDestroy(&crs));
738:           // create aggregates
739:           PetscCall(MatGetBlockSizes(Aarr[level], &bs, NULL)); // row block size
740:           PetscCall(PetscCDGetASMBlocks(agg_lists, bs, &nASMBlocksArr[level], &ASMLocalIDsArr[level]));
741:         }
742:         PetscCall(PCGetOptionsPrefix(pc, &prefix));
743:         PetscCall(MatSetOptionsPrefix(Prol11, prefix));
744:         PetscCall(PetscSNPrintf(addp, sizeof(addp), "pc_gamg_prolongator_%d_", (int)level));
745:         PetscCall(MatAppendOptionsPrefix(Prol11, addp));
746:         /* Always generate the transpose with CUDA
747:            Such behaviour can be adapted with -pc_gamg_prolongator_ prefixed options */
748:         PetscCall(MatSetOption(Prol11, MAT_FORM_EXPLICIT_TRANSPOSE, PETSC_TRUE));
749:         PetscCall(MatSetFromOptions(Prol11));
750:         Parr[level1] = Prol11;
751:       } else Parr[level1] = NULL; /* failed to coarsen */
752:       PetscCall(PetscCDGetMat(agg_lists, &mat));
753:       if (mat == Gmat) PetscCall(PetscCDClearMat(agg_lists)); // take the Mat away from the list (yuck)
754:       PetscCall(MatDestroy(&Gmat));
755:       PetscCall(PetscCDDestroy(agg_lists));
756:     } /* construct prolongator scope */
757:     if (level == 0) Aarr[0] = Pmat; /* use Pmat for finest level setup */
758:     if (!Parr[level1]) {            /* failed to coarsen */
759:       PetscCall(PetscInfo(pc, "%s: Stop gridding, level %" PetscInt_FMT "\n", ((PetscObject)pc)->prefix, level));
760: #if defined(GAMG_STAGES)
761:       PetscCall(PetscLogStagePop());
762: #endif
763:       break;
764:     }
765:     PetscCall(MatGetSize(Parr[level1], &M, &N)); /* N is next M, a loop test variables */
766:     PetscCheck(!is_last, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Is last ?");
767:     if (N <= pc_gamg->coarse_eq_limit) is_last = PETSC_TRUE;
768:     if (level1 == pc_gamg->Nlevels - 1) is_last = PETSC_TRUE;
769:     PetscCall(PetscLogEventBegin(petsc_gamg_setup_events[GAMG_LEVEL], 0, 0, 0, 0));
770:     PetscCall(pc_gamg->ops->createlevel(pc, Aarr[level], cr_bs, &Parr[level1], &Aarr[level1], &nactivepe, NULL, is_last));
771:     PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_LEVEL], 0, 0, 0, 0));

773:     PetscCall(MatGetSize(Aarr[level1], &M, &N)); /* M is loop test variables */
774: #if defined(PETSC_USE_INFO)
775:     PetscCall(MatGetInfo(Aarr[level1], MAT_GLOBAL_SUM, &info));
776:     nnztot += info.nz_used;
777: #endif
778:     PetscCall(PetscInfo(pc, "%s: %d) N=%" PetscInt_FMT ", n data cols=%" PetscInt_FMT ", nnz/row (ave)=%" PetscInt_FMT ", %d active pes\n", ((PetscObject)pc)->prefix, (int)level1, M, pc_gamg->data_cell_cols, (PetscInt)(info.nz_used / (PetscReal)M), nactivepe));

780: #if defined(GAMG_STAGES)
781:     PetscCall(PetscLogStagePop());
782: #endif
783:     /* stop if one node or one proc -- could pull back for singular problems */
784:     if ((pc_gamg->data_cell_cols && M / pc_gamg->data_cell_cols < 2) || (!pc_gamg->data_cell_cols && M / bs < 2)) {
785:       PetscCall(PetscInfo(pc, "%s: HARD stop of coarsening on level %" PetscInt_FMT ".  Grid too small: %" PetscInt_FMT " block nodes\n", ((PetscObject)pc)->prefix, level, M / bs));
786:       level++;
787:       break;
788:     }
789:   } /* levels */
790:   PetscCall(PetscFree(pc_gamg->data));

792:   PetscCall(PetscInfo(pc, "%s: %" PetscInt_FMT " levels, operator complexity = %g\n", ((PetscObject)pc)->prefix, level + 1, nnztot / nnz0));
793:   pc_gamg->Nlevels = level + 1;
794:   fine_level       = level;
795:   PetscCall(PCMGSetLevels(pc, pc_gamg->Nlevels, NULL));

797:   if (pc_gamg->Nlevels > 1) { /* don't setup MG if one level */

799:     /* set default smoothers & set operators */
800:     for (lidx = 1, level = pc_gamg->Nlevels - 2; lidx <= fine_level; lidx++, level--) {
801:       KSP smoother;
802:       PC  subpc;

804:       PetscCall(PCMGGetSmoother(pc, lidx, &smoother));
805:       PetscCall(KSPGetPC(smoother, &subpc));

807:       PetscCall(KSPSetNormType(smoother, KSP_NORM_NONE));
808:       /* set ops */
809:       PetscCall(KSPSetOperators(smoother, Aarr[level], Aarr[level]));
810:       PetscCall(PCMGSetInterpolation(pc, lidx, Parr[level + 1]));

812:       /* set defaults */
813:       PetscCall(KSPSetType(smoother, KSPCHEBYSHEV));

815:       /* set blocks for ASM smoother that uses the 'aggregates' */
816:       if (pc_gamg->use_aggs_in_asm || pc_gamg->asm_hem_aggs) {
817:         PetscInt sz;
818:         IS      *iss;

820:         sz  = nASMBlocksArr[level];
821:         iss = ASMLocalIDsArr[level];
822:         PetscCall(PCSetType(subpc, PCASM));
823:         PetscCall(PCASMSetOverlap(subpc, 0));
824:         PetscCall(PCASMSetType(subpc, PC_ASM_BASIC));
825:         if (!sz) {
826:           IS is;
827:           PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 0, NULL, PETSC_COPY_VALUES, &is));
828:           PetscCall(PCASMSetLocalSubdomains(subpc, 1, NULL, &is));
829:           PetscCall(ISDestroy(&is));
830:         } else {
831:           PetscInt kk;
832:           PetscCall(PCASMSetLocalSubdomains(subpc, sz, iss, NULL));
833:           for (kk = 0; kk < sz; kk++) PetscCall(ISDestroy(&iss[kk]));
834:           PetscCall(PetscFree(iss));
835:         }
836:         ASMLocalIDsArr[level] = NULL;
837:         nASMBlocksArr[level]  = 0;
838:       } else {
839:         PetscCall(PCSetType(subpc, PCJACOBI));
840:       }
841:     }
842:     {
843:       /* coarse grid */
844:       KSP      smoother, *k2;
845:       PC       subpc, pc2;
846:       PetscInt ii, first;
847:       Mat      Lmat = Aarr[(level = pc_gamg->Nlevels - 1)];
848:       lidx          = 0;

850:       PetscCall(PCMGGetSmoother(pc, lidx, &smoother));
851:       PetscCall(KSPSetOperators(smoother, Lmat, Lmat));
852:       if (!pc_gamg->use_parallel_coarse_grid_solver) {
853:         PetscCall(KSPSetNormType(smoother, KSP_NORM_NONE));
854:         PetscCall(KSPGetPC(smoother, &subpc));
855:         PetscCall(PCSetType(subpc, PCBJACOBI));
856:         PetscCall(PCSetUp(subpc));
857:         PetscCall(PCBJacobiGetSubKSP(subpc, &ii, &first, &k2));
858:         PetscCheck(ii == 1, PETSC_COMM_SELF, PETSC_ERR_PLIB, "ii %" PetscInt_FMT " is not one", ii);
859:         PetscCall(KSPGetPC(k2[0], &pc2));
860:         PetscCall(PCSetType(pc2, PCLU));
861:         PetscCall(PCFactorSetShiftType(pc2, MAT_SHIFT_INBLOCKS));
862:         PetscCall(KSPSetTolerances(k2[0], PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT, 1));
863:         PetscCall(KSPSetType(k2[0], KSPPREONLY));
864:       }
865:     }

867:     /* should be called in PCSetFromOptions_GAMG(), but cannot be called prior to PCMGSetLevels() */
868:     PetscObjectOptionsBegin((PetscObject)pc);
869:     PetscCall(PCSetFromOptions_MG(pc, PetscOptionsObject));
870:     PetscOptionsEnd();
871:     PetscCall(PCMGSetGalerkin(pc, PC_MG_GALERKIN_EXTERNAL));

873:     /* set cheby eigen estimates from SA to use in the solver */
874:     if (pc_gamg->use_sa_esteig) {
875:       for (lidx = 1, level = pc_gamg->Nlevels - 2; level >= 0; lidx++, level--) {
876:         KSP       smoother;
877:         PetscBool ischeb;

879:         PetscCall(PCMGGetSmoother(pc, lidx, &smoother));
880:         PetscCall(PetscObjectTypeCompare((PetscObject)smoother, KSPCHEBYSHEV, &ischeb));
881:         if (ischeb) {
882:           KSP_Chebyshev *cheb = (KSP_Chebyshev *)smoother->data;

884:           // The command line will override these settings because KSPSetFromOptions is called in PCSetUp_MG
885:           if (mg->max_eigen_DinvA[level] > 0) {
886:             // SA uses Jacobi for P; we use SA estimates if the smoother is also Jacobi or if the user explicitly requested it.
887:             // TODO: This should test whether it's the same Jacobi variant (DIAG, ROWSUM, etc.)
888:             PetscReal emax, emin;

890:             emin = mg->min_eigen_DinvA[level];
891:             emax = mg->max_eigen_DinvA[level];
892:             PetscCall(PetscInfo(pc, "%s: PCSetUp_GAMG: call KSPChebyshevSetEigenvalues on level %" PetscInt_FMT " (N=%" PetscInt_FMT ") with emax = %g emin = %g\n", ((PetscObject)pc)->prefix, level, Aarr[level]->rmap->N, (double)emax, (double)emin));
893:             cheb->emin_provided = emin;
894:             cheb->emax_provided = emax;
895:           }
896:         }
897:       }
898:     }

900:     PetscCall(PCSetUp_MG(pc));

902:     /* clean up */
903:     for (level = 1; level < pc_gamg->Nlevels; level++) {
904:       PetscCall(MatDestroy(&Parr[level]));
905:       PetscCall(MatDestroy(&Aarr[level]));
906:     }
907:   } else {
908:     KSP smoother;

910:     PetscCall(PetscInfo(pc, "%s: One level solver used (system is seen as DD). Using default solver.\n", ((PetscObject)pc)->prefix));
911:     PetscCall(PCMGGetSmoother(pc, 0, &smoother));
912:     PetscCall(KSPSetOperators(smoother, Aarr[0], Aarr[0]));
913:     PetscCall(KSPSetType(smoother, KSPPREONLY));
914:     PetscCall(PCSetUp_MG(pc));
915:   }
916:   PetscCall(PetscLogEventEnd(petsc_gamg_setup_events[GAMG_SETUP], 0, 0, 0, 0));
917:   PetscFunctionReturn(PETSC_SUCCESS);
918: }

920: /*
921:  PCDestroy_GAMG - Destroys the private context for the GAMG preconditioner
922:    that was created with PCCreate_GAMG().

924:    Input Parameter:
925: .  pc - the preconditioner context

927:    Application Interface Routine: PCDestroy()
928: */
929: PetscErrorCode PCDestroy_GAMG(PC pc)
930: {
931:   PC_MG   *mg      = (PC_MG *)pc->data;
932:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

934:   PetscFunctionBegin;
935:   PetscCall(PCReset_GAMG(pc));
936:   if (pc_gamg->ops->destroy) PetscCall((*pc_gamg->ops->destroy)(pc));
937:   PetscCall(PetscFree(pc_gamg->ops));
938:   PetscCall(PetscFree(pc_gamg->gamg_type_name));
939:   PetscCall(PetscFree(pc_gamg));
940:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetProcEqLim_C", NULL));
941:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetCoarseEqLim_C", NULL));
942:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetRepartition_C", NULL));
943:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetEigenvalues_C", NULL));
944:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetUseSAEstEig_C", NULL));
945:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetRecomputeEstEig_C", NULL));
946:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetReuseInterpolation_C", NULL));
947:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGASMSetUseAggs_C", NULL));
948:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetParallelCoarseGridSolve_C", NULL));
949:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetCpuPinCoarseGrids_C", NULL));
950:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetCoarseGridLayoutType_C", NULL));
951:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetThreshold_C", NULL));
952:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetRankReductionFactors_C", NULL));
953:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetThresholdScale_C", NULL));
954:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetType_C", NULL));
955:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGGetType_C", NULL));
956:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetNlevels_C", NULL));
957:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGASMSetHEM_C", NULL));
958:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetInjectionIndices_C", NULL));
959:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetInjectionIndex_C", NULL));
960:   PetscCall(PCDestroy_MG(pc));
961:   PetscFunctionReturn(PETSC_SUCCESS);
962: }

964: /*@
965:   PCGAMGSetProcEqLim - Set number of equations to aim for per process on the coarse grids via processor reduction in `PCGAMG`

967:   Logically Collective

969:   Input Parameters:
970: + pc - the preconditioner context
971: - n  - the number of equations

973:   Options Database Key:
974: . -pc_gamg_process_eq_limit <limit> - set the limit

976:   Level: intermediate

978:   Note:
979:   `PCGAMG` will reduce the number of MPI processes used directly on the coarse grids so that there are around <limit> equations on each process
980:   that has degrees of freedom

982: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetCoarseEqLim()`, `PCGAMGSetRankReductionFactors()`, `PCGAMGSetRepartition()`
983: @*/
984: PetscErrorCode PCGAMGSetProcEqLim(PC pc, PetscInt n)
985: {
986:   PetscFunctionBegin;
988:   PetscTryMethod(pc, "PCGAMGSetProcEqLim_C", (PC, PetscInt), (pc, n));
989:   PetscFunctionReturn(PETSC_SUCCESS);
990: }

992: static PetscErrorCode PCGAMGSetProcEqLim_GAMG(PC pc, PetscInt n)
993: {
994:   PC_MG   *mg      = (PC_MG *)pc->data;
995:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

997:   PetscFunctionBegin;
998:   if (n > 0) pc_gamg->min_eq_proc = n;
999:   PetscFunctionReturn(PETSC_SUCCESS);
1000: }

1002: /*@
1003:   PCGAMGSetCoarseEqLim - Set maximum number of equations on the coarsest grid of `PCGAMG`

1005:   Collective

1007:   Input Parameters:
1008: + pc - the preconditioner context
1009: - n  - maximum number of equations to aim for

1011:   Options Database Key:
1012: . -pc_gamg_coarse_eq_limit <limit> - set the limit

1014:   Level: intermediate

1016:   Note:
1017:   For example -pc_gamg_coarse_eq_limit 1000 will stop coarsening once the coarse grid
1018:   has less than 1000 unknowns.

1020: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetProcEqLim()`, `PCGAMGSetRankReductionFactors()`, `PCGAMGSetRepartition()`
1021: @*/
1022: PetscErrorCode PCGAMGSetCoarseEqLim(PC pc, PetscInt n)
1023: {
1024:   PetscFunctionBegin;
1026:   PetscTryMethod(pc, "PCGAMGSetCoarseEqLim_C", (PC, PetscInt), (pc, n));
1027:   PetscFunctionReturn(PETSC_SUCCESS);
1028: }

1030: static PetscErrorCode PCGAMGSetCoarseEqLim_GAMG(PC pc, PetscInt n)
1031: {
1032:   PC_MG   *mg      = (PC_MG *)pc->data;
1033:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1035:   PetscFunctionBegin;
1036:   if (n > 0) pc_gamg->coarse_eq_limit = n;
1037:   PetscFunctionReturn(PETSC_SUCCESS);
1038: }

1040: /*@
1041:   PCGAMGSetRepartition - Repartition the degrees of freedom across the processors on the coarser grids when reducing the number of MPI ranks to use

1043:   Collective

1045:   Input Parameters:
1046: + pc - the preconditioner context
1047: - n  - `PETSC_TRUE` or `PETSC_FALSE`

1049:   Options Database Key:
1050: . -pc_gamg_repartition <true,false> - turn on the repartitioning

1052:   Level: intermediate

1054:   Note:
1055:   This will generally improve the loading balancing of the work on each level

1057: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetProcEqLim()`, `PCGAMGSetRankReductionFactors()`
1058: @*/
1059: PetscErrorCode PCGAMGSetRepartition(PC pc, PetscBool n)
1060: {
1061:   PetscFunctionBegin;
1063:   PetscTryMethod(pc, "PCGAMGSetRepartition_C", (PC, PetscBool), (pc, n));
1064:   PetscFunctionReturn(PETSC_SUCCESS);
1065: }

1067: static PetscErrorCode PCGAMGSetRepartition_GAMG(PC pc, PetscBool n)
1068: {
1069:   PC_MG   *mg      = (PC_MG *)pc->data;
1070:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1072:   PetscFunctionBegin;
1073:   pc_gamg->repart = n;
1074:   PetscFunctionReturn(PETSC_SUCCESS);
1075: }

1077: /*@
1078:   PCGAMGSetUseSAEstEig - Use the eigen estimate from smoothed aggregation for the Chebyshev smoother during the solution process

1080:   Collective

1082:   Input Parameters:
1083: + pc - the preconditioner context
1084: - b  - flag

1086:   Options Database Key:
1087: . -pc_gamg_use_sa_esteig <true,false> - use the eigen estimate

1089:   Level: advanced

1091:   Notes:
1092:   Smoothed aggregation constructs the smoothed prolongator $P = (I - \omega D^{-1} A) T$ where $T$ is the tentative prolongator and $D$ is the diagonal of $A$.
1093:   Eigenvalue estimates (based on a few `PCCG` or `PCGMRES` iterations) are computed to choose $\omega$ so that this is a stable smoothing operation.
1094:   If Chebyshev with Jacobi (diagonal) preconditioning is used for smoothing, then the eigenvalue estimates can be reused during the solution process
1095:   This option is only used when the smoother uses Jacobi, and should be turned off if a different `PCJacobiType` is used.
1096:   It became default in PETSc 3.17.

1098: .seealso: [](ch_ksp), `PCGAMG`, `KSPChebyshevSetEigenvalues()`, `KSPChebyshevEstEigSet()`, `PCGAMGSetRecomputeEstEig()`
1099: @*/
1100: PetscErrorCode PCGAMGSetUseSAEstEig(PC pc, PetscBool b)
1101: {
1102:   PetscFunctionBegin;
1104:   PetscTryMethod(pc, "PCGAMGSetUseSAEstEig_C", (PC, PetscBool), (pc, b));
1105:   PetscFunctionReturn(PETSC_SUCCESS);
1106: }

1108: static PetscErrorCode PCGAMGSetUseSAEstEig_GAMG(PC pc, PetscBool b)
1109: {
1110:   PC_MG   *mg      = (PC_MG *)pc->data;
1111:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1113:   PetscFunctionBegin;
1114:   pc_gamg->use_sa_esteig = b;
1115:   PetscFunctionReturn(PETSC_SUCCESS);
1116: }

1118: /*@
1119:   PCGAMGSetRecomputeEstEig - Set flag for Chebyshev smoothers to recompute the eigen estimates

1121:   Collective

1123:   Input Parameters:
1124: + pc - the preconditioner context
1125: - b  - flag

1127:   Options Database Key:
1128: . -pc_gamg_recompute_esteig <true> - use the eigen estimate

1130:   Level: advanced

1132: .seealso: [](ch_ksp), `PCGAMG`, `KSPChebyshevSetEigenvalues()`, `KSPChebyshevEstEigSet()`
1133: @*/
1134: PetscErrorCode PCGAMGSetRecomputeEstEig(PC pc, PetscBool b)
1135: {
1136:   PetscFunctionBegin;
1138:   PetscTryMethod(pc, "PCGAMGSetRecomputeEstEig_C", (PC, PetscBool), (pc, b));
1139:   PetscFunctionReturn(PETSC_SUCCESS);
1140: }

1142: static PetscErrorCode PCGAMGSetRecomputeEstEig_GAMG(PC pc, PetscBool b)
1143: {
1144:   PC_MG   *mg      = (PC_MG *)pc->data;
1145:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1147:   PetscFunctionBegin;
1148:   pc_gamg->recompute_esteig = b;
1149:   PetscFunctionReturn(PETSC_SUCCESS);
1150: }

1152: /*@
1153:   PCGAMGSetEigenvalues - Set WHAT eigenvalues WHY?

1155:   Collective

1157:   Input Parameters:
1158: + pc   - the preconditioner context
1159: . emax - max eigenvalue
1160: - emin - min eigenvalue

1162:   Options Database Key:
1163: . -pc_gamg_eigenvalues <emin,emax> - estimates of the eigenvalues

1165:   Level: intermediate

1167: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetUseSAEstEig()`
1168: @*/
1169: PetscErrorCode PCGAMGSetEigenvalues(PC pc, PetscReal emax, PetscReal emin)
1170: {
1171:   PetscFunctionBegin;
1173:   PetscTryMethod(pc, "PCGAMGSetEigenvalues_C", (PC, PetscReal, PetscReal), (pc, emax, emin));
1174:   PetscFunctionReturn(PETSC_SUCCESS);
1175: }

1177: static PetscErrorCode PCGAMGSetEigenvalues_GAMG(PC pc, PetscReal emax, PetscReal emin)
1178: {
1179:   PC_MG   *mg      = (PC_MG *)pc->data;
1180:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1182:   PetscFunctionBegin;
1183:   PetscCheck(emax > emin, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_INCOMP, "Maximum eigenvalue must be larger than minimum: max %g min %g", (double)emax, (double)emin);
1184:   PetscCheck(emax * emin > 0.0, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_INCOMP, "Both eigenvalues must be of the same sign: max %g min %g", (double)emax, (double)emin);
1185:   pc_gamg->emax = emax;
1186:   pc_gamg->emin = emin;
1187:   PetscFunctionReturn(PETSC_SUCCESS);
1188: }

1190: /*@
1191:   PCGAMGSetReuseInterpolation - Reuse prolongation when rebuilding a `PCGAMG` algebraic multigrid preconditioner

1193:   Collective

1195:   Input Parameters:
1196: + pc - the preconditioner context
1197: - n  - `PETSC_TRUE` or `PETSC_FALSE`

1199:   Options Database Key:
1200: . -pc_gamg_reuse_interpolation <true,false> - reuse the previous interpolation

1202:   Level: intermediate

1204:   Note:
1205:   May negatively affect the convergence rate of the method on new matrices if the matrix entries change a great deal, but allows
1206:   rebuilding the preconditioner quicker.

1208: .seealso: [](ch_ksp), `PCGAMG`
1209: @*/
1210: PetscErrorCode PCGAMGSetReuseInterpolation(PC pc, PetscBool n)
1211: {
1212:   PetscFunctionBegin;
1214:   PetscTryMethod(pc, "PCGAMGSetReuseInterpolation_C", (PC, PetscBool), (pc, n));
1215:   PetscFunctionReturn(PETSC_SUCCESS);
1216: }

1218: static PetscErrorCode PCGAMGSetReuseInterpolation_GAMG(PC pc, PetscBool n)
1219: {
1220:   PC_MG   *mg      = (PC_MG *)pc->data;
1221:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1223:   PetscFunctionBegin;
1224:   pc_gamg->reuse_prol = n;
1225:   PetscFunctionReturn(PETSC_SUCCESS);
1226: }

1228: /*@
1229:   PCGAMGASMSetUseAggs - Have the `PCGAMG` smoother on each level use the aggregates defined by the coarsening process as the subdomains for the additive Schwarz preconditioner
1230:   used as the smoother

1232:   Collective

1234:   Input Parameters:
1235: + pc  - the preconditioner context
1236: - flg - `PETSC_TRUE` to use aggregates, `PETSC_FALSE` to not

1238:   Options Database Key:
1239: . -pc_gamg_asm_use_agg <true,false> - use aggregates to define the additive Schwarz subdomains

1241:   Level: intermediate

1243: .seealso: [](ch_ksp), `PCGAMG`, `PCASM`, `PCSetType`
1244: @*/
1245: PetscErrorCode PCGAMGASMSetUseAggs(PC pc, PetscBool flg)
1246: {
1247:   PetscFunctionBegin;
1249:   PetscTryMethod(pc, "PCGAMGASMSetUseAggs_C", (PC, PetscBool), (pc, flg));
1250:   PetscFunctionReturn(PETSC_SUCCESS);
1251: }

1253: static PetscErrorCode PCGAMGASMSetUseAggs_GAMG(PC pc, PetscBool flg)
1254: {
1255:   PC_MG   *mg      = (PC_MG *)pc->data;
1256:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1258:   PetscFunctionBegin;
1259:   pc_gamg->use_aggs_in_asm = flg;
1260:   PetscFunctionReturn(PETSC_SUCCESS);
1261: }

1263: /*@
1264:   PCGAMGSetParallelCoarseGridSolve - allow a parallel coarse grid solver

1266:   Collective

1268:   Input Parameters:
1269: + pc  - the preconditioner context
1270: - flg - `PETSC_TRUE` to not force coarse grid onto one processor

1272:   Options Database Key:
1273: . -pc_gamg_parallel_coarse_grid_solver - use a parallel coarse grid direct solver

1275:   Level: intermediate

1277: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetCoarseGridLayoutType()`, `PCGAMGSetCpuPinCoarseGrids()`
1278: @*/
1279: PetscErrorCode PCGAMGSetParallelCoarseGridSolve(PC pc, PetscBool flg)
1280: {
1281:   PetscFunctionBegin;
1283:   PetscTryMethod(pc, "PCGAMGSetParallelCoarseGridSolve_C", (PC, PetscBool), (pc, flg));
1284:   PetscFunctionReturn(PETSC_SUCCESS);
1285: }

1287: static PetscErrorCode PCGAMGSetParallelCoarseGridSolve_GAMG(PC pc, PetscBool flg)
1288: {
1289:   PC_MG   *mg      = (PC_MG *)pc->data;
1290:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1292:   PetscFunctionBegin;
1293:   pc_gamg->use_parallel_coarse_grid_solver = flg;
1294:   PetscFunctionReturn(PETSC_SUCCESS);
1295: }

1297: /*@
1298:   PCGAMGSetCpuPinCoarseGrids - pin the coarse grids created in `PCGAMG` to run only on the CPU since the problems may be too small to run efficiently on the GPUs

1300:   Collective

1302:   Input Parameters:
1303: + pc  - the preconditioner context
1304: - flg - `PETSC_TRUE` to pin coarse grids to the CPU

1306:   Options Database Key:
1307: . -pc_gamg_cpu_pin_coarse_grids - pin the coarse grids to the CPU

1309:   Level: intermediate

1311: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetCoarseGridLayoutType()`, `PCGAMGSetParallelCoarseGridSolve()`
1312: @*/
1313: PetscErrorCode PCGAMGSetCpuPinCoarseGrids(PC pc, PetscBool flg)
1314: {
1315:   PetscFunctionBegin;
1317:   PetscTryMethod(pc, "PCGAMGSetCpuPinCoarseGrids_C", (PC, PetscBool), (pc, flg));
1318:   PetscFunctionReturn(PETSC_SUCCESS);
1319: }

1321: static PetscErrorCode PCGAMGSetCpuPinCoarseGrids_GAMG(PC pc, PetscBool flg)
1322: {
1323:   PC_MG   *mg      = (PC_MG *)pc->data;
1324:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1326:   PetscFunctionBegin;
1327:   pc_gamg->cpu_pin_coarse_grids = flg;
1328:   PetscFunctionReturn(PETSC_SUCCESS);
1329: }

1331: /*@
1332:   PCGAMGSetCoarseGridLayoutType - place coarse grids on processors with natural order (compact type)

1334:   Collective

1336:   Input Parameters:
1337: + pc  - the preconditioner context
1338: - flg - `PCGAMGLayoutType` type, either `PCGAMG_LAYOUT_COMPACT` or `PCGAMG_LAYOUT_SPREAD`

1340:   Options Database Key:
1341: . -pc_gamg_coarse_grid_layout_type - place the coarse grids with natural ordering

1343:   Level: intermediate

1345: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetParallelCoarseGridSolve()`, `PCGAMGSetCpuPinCoarseGrids()`, `PCGAMGLayoutType`, `PCGAMG_LAYOUT_COMPACT`, `PCGAMG_LAYOUT_SPREAD`
1346: @*/
1347: PetscErrorCode PCGAMGSetCoarseGridLayoutType(PC pc, PCGAMGLayoutType flg)
1348: {
1349:   PetscFunctionBegin;
1351:   PetscTryMethod(pc, "PCGAMGSetCoarseGridLayoutType_C", (PC, PCGAMGLayoutType), (pc, flg));
1352:   PetscFunctionReturn(PETSC_SUCCESS);
1353: }

1355: static PetscErrorCode PCGAMGSetCoarseGridLayoutType_GAMG(PC pc, PCGAMGLayoutType flg)
1356: {
1357:   PC_MG   *mg      = (PC_MG *)pc->data;
1358:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1360:   PetscFunctionBegin;
1361:   pc_gamg->layout_type = flg;
1362:   PetscFunctionReturn(PETSC_SUCCESS);
1363: }

1365: /*@
1366:   PCGAMGSetNlevels -  Sets the maximum number of levels `PCGAMG` will use

1368:   Collective

1370:   Input Parameters:
1371: + pc - the preconditioner
1372: - n  - the maximum number of levels to use

1374:   Options Database Key:
1375: . -pc_mg_levels <n> - set the maximum number of levels to allow

1377:   Level: intermediate

1379:   Developer Notes:
1380:   Should be called `PCGAMGSetMaximumNumberlevels()` and possible be shared with `PCMG`

1382: .seealso: [](ch_ksp), `PCGAMG`
1383: @*/
1384: PetscErrorCode PCGAMGSetNlevels(PC pc, PetscInt n)
1385: {
1386:   PetscFunctionBegin;
1388:   PetscTryMethod(pc, "PCGAMGSetNlevels_C", (PC, PetscInt), (pc, n));
1389:   PetscFunctionReturn(PETSC_SUCCESS);
1390: }

1392: static PetscErrorCode PCGAMGSetNlevels_GAMG(PC pc, PetscInt n)
1393: {
1394:   PC_MG   *mg      = (PC_MG *)pc->data;
1395:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1397:   PetscFunctionBegin;
1398:   pc_gamg->Nlevels = n;
1399:   PetscFunctionReturn(PETSC_SUCCESS);
1400: }

1402: /*@
1403:   PCGAMGASMSetHEM -  Sets the number of HEM matching passed

1405:   Collective

1407:   Input Parameters:
1408: + pc - the preconditioner
1409: - n  - number of HEM matching passed to construct ASM subdomains

1411:   Options Database Key:
1412: . -pc_gamg_asm_hem <n> - set the number of HEM matching passed

1414:   Level: intermediate

1416:   Developer Notes:
1417:   Should be called `PCGAMGSetMaximumNumberlevels()` and possible be shared with `PCMG`

1419: .seealso: [](ch_ksp), `PCGAMG`
1420: @*/
1421: PetscErrorCode PCGAMGASMSetHEM(PC pc, PetscInt n)
1422: {
1423:   PetscFunctionBegin;
1425:   PetscTryMethod(pc, "PCGAMGASMSetHEM_C", (PC, PetscInt), (pc, n));
1426:   PetscFunctionReturn(PETSC_SUCCESS);
1427: }

1429: static PetscErrorCode PCGAMGASMSetHEM_GAMG(PC pc, PetscInt n)
1430: {
1431:   PC_MG   *mg      = (PC_MG *)pc->data;
1432:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1434:   PetscFunctionBegin;
1435:   pc_gamg->asm_hem_aggs = n;
1436:   PetscFunctionReturn(PETSC_SUCCESS);
1437: }

1439: /*@
1440:   PCGAMGSetThreshold - Relative threshold to use for dropping edges in aggregation graph

1442:   Not Collective

1444:   Input Parameters:
1445: + pc - the preconditioner context
1446: . v  - array of threshold values for finest n levels; 0.0 means keep all nonzero entries in the graph; negative means keep even zero entries in the graph
1447: - n  - number of threshold values provided in array

1449:   Options Database Key:
1450: . -pc_gamg_threshold <threshold> - the threshold to drop edges

1452:   Level: intermediate

1454:   Notes:
1455:   Increasing the threshold decreases the rate of coarsening. Conversely reducing the threshold increases the rate of coarsening (aggressive coarsening) and thereby reduces the complexity of the coarse grids, and generally results in slower solver converge rates. Reducing coarse grid complexity reduced the complexity of Galerkin coarse grid construction considerably.
1456:   Before coarsening or aggregating the graph, `PCGAMG` removes small values from the graph with this threshold, and thus reducing the coupling in the graph and a different (perhaps better) coarser set of points.

1458:   If `n` is less than the total number of coarsenings (see `PCGAMGSetNlevels()`), then threshold scaling (see `PCGAMGSetThresholdScale()`) is used for each successive coarsening.
1459:   In this case, `PCGAMGSetThresholdScale()` must be called before `PCGAMGSetThreshold()`.
1460:   If `n` is greater than the total number of levels, the excess entries in threshold will not be used.

1462: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetAggressiveLevels()`, `PCGAMGMISkSetAggressive()`, `PCGAMGSetMinDegreeOrderingMISk()`, `PCGAMGSetThresholdScale()`
1463: @*/
1464: PetscErrorCode PCGAMGSetThreshold(PC pc, PetscReal v[], PetscInt n)
1465: {
1466:   PetscFunctionBegin;
1468:   if (n) PetscAssertPointer(v, 2);
1469:   PetscTryMethod(pc, "PCGAMGSetThreshold_C", (PC, PetscReal[], PetscInt), (pc, v, n));
1470:   PetscFunctionReturn(PETSC_SUCCESS);
1471: }

1473: static PetscErrorCode PCGAMGSetThreshold_GAMG(PC pc, PetscReal v[], PetscInt n)
1474: {
1475:   PC_MG   *mg      = (PC_MG *)pc->data;
1476:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;
1477:   PetscInt i;

1479:   PetscFunctionBegin;
1480:   for (i = 0; i < PetscMin(n, PETSC_MG_MAXLEVELS); i++) pc_gamg->threshold[i] = v[i];
1481:   for (; i < PETSC_MG_MAXLEVELS; i++) pc_gamg->threshold[i] = pc_gamg->threshold[i - 1] * pc_gamg->threshold_scale;
1482:   PetscFunctionReturn(PETSC_SUCCESS);
1483: }

1485: /*@
1486:   PCGAMGSetRankReductionFactors - Set a manual schedule for MPI rank reduction on coarse grids

1488:   Collective

1490:   Input Parameters:
1491: + pc - the preconditioner context
1492: . v  - array of reduction factors. 0 for first value forces a reduction to one process/device on first level in CUDA
1493: - n  - number of values provided in array

1495:   Options Database Key:
1496: . -pc_gamg_rank_reduction_factors <factors> - provide the schedule

1498:   Level: intermediate

1500: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetProcEqLim()`, `PCGAMGSetCoarseEqLim()`
1501: @*/
1502: PetscErrorCode PCGAMGSetRankReductionFactors(PC pc, PetscInt v[], PetscInt n)
1503: {
1504:   PetscFunctionBegin;
1506:   if (n) PetscAssertPointer(v, 2);
1507:   PetscTryMethod(pc, "PCGAMGSetRankReductionFactors_C", (PC, PetscInt[], PetscInt), (pc, v, n));
1508:   PetscFunctionReturn(PETSC_SUCCESS);
1509: }

1511: static PetscErrorCode PCGAMGSetRankReductionFactors_GAMG(PC pc, PetscInt v[], PetscInt n)
1512: {
1513:   PC_MG   *mg      = (PC_MG *)pc->data;
1514:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;
1515:   PetscInt i;

1517:   PetscFunctionBegin;
1518:   for (i = 0; i < PetscMin(n, PETSC_MG_MAXLEVELS); i++) pc_gamg->level_reduction_factors[i] = v[i];
1519:   for (; i < PETSC_MG_MAXLEVELS; i++) pc_gamg->level_reduction_factors[i] = -1; /* 0 stop putting one process/device on first level */
1520:   PetscFunctionReturn(PETSC_SUCCESS);
1521: }

1523: /*@
1524:   PCGAMGSetThresholdScale - Relative threshold reduction at each level

1526:   Not Collective

1528:   Input Parameters:
1529: + pc - the preconditioner context
1530: - v  - the threshold value reduction, usually < 1.0

1532:   Options Database Key:
1533: . -pc_gamg_threshold_scale <v> - set the relative threshold reduction on each level

1535:   Level: advanced

1537:   Note:
1538:   The initial threshold (for an arbitrary number of levels starting from the finest) can be set with `PCGAMGSetThreshold()`.
1539:   This scaling is used for each subsequent coarsening, but must be called before `PCGAMGSetThreshold()`.

1541: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetThreshold()`
1542: @*/
1543: PetscErrorCode PCGAMGSetThresholdScale(PC pc, PetscReal v)
1544: {
1545:   PetscFunctionBegin;
1547:   PetscTryMethod(pc, "PCGAMGSetThresholdScale_C", (PC, PetscReal), (pc, v));
1548:   PetscFunctionReturn(PETSC_SUCCESS);
1549: }

1551: static PetscErrorCode PCGAMGSetThresholdScale_GAMG(PC pc, PetscReal v)
1552: {
1553:   PC_MG   *mg      = (PC_MG *)pc->data;
1554:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1556:   PetscFunctionBegin;
1557:   pc_gamg->threshold_scale = v;
1558:   PetscFunctionReturn(PETSC_SUCCESS);
1559: }

1561: /*@C
1562:   PCGAMGSetType - Set the type of algorithm `PCGAMG` should use

1564:   Collective

1566:   Input Parameters:
1567: + pc   - the preconditioner context
1568: - type - `PCGAMGAGG`, `PCGAMGGEO`, or `PCGAMGCLASSICAL`

1570:   Options Database Key:
1571: . -pc_gamg_type <agg,geo,classical> - type of algebraic multigrid to apply - only agg supported

1573:   Level: intermediate

1575: .seealso: [](ch_ksp), `PCGAMGGetType()`, `PCGAMG`, `PCGAMGType`
1576: @*/
1577: PetscErrorCode PCGAMGSetType(PC pc, PCGAMGType type)
1578: {
1579:   PetscFunctionBegin;
1581:   PetscTryMethod(pc, "PCGAMGSetType_C", (PC, PCGAMGType), (pc, type));
1582:   PetscFunctionReturn(PETSC_SUCCESS);
1583: }

1585: /*@C
1586:   PCGAMGGetType - Get the type of algorithm `PCGAMG` will use

1588:   Collective

1590:   Input Parameter:
1591: . pc - the preconditioner context

1593:   Output Parameter:
1594: . type - the type of algorithm used

1596:   Level: intermediate

1598: .seealso: [](ch_ksp), `PCGAMG`, `PCGAMGSetType()`, `PCGAMGType`
1599: @*/
1600: PetscErrorCode PCGAMGGetType(PC pc, PCGAMGType *type)
1601: {
1602:   PetscFunctionBegin;
1604:   PetscUseMethod(pc, "PCGAMGGetType_C", (PC, PCGAMGType *), (pc, type));
1605:   PetscFunctionReturn(PETSC_SUCCESS);
1606: }

1608: static PetscErrorCode PCGAMGGetType_GAMG(PC pc, PCGAMGType *type)
1609: {
1610:   PC_MG   *mg      = (PC_MG *)pc->data;
1611:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1613:   PetscFunctionBegin;
1614:   *type = pc_gamg->type;
1615:   PetscFunctionReturn(PETSC_SUCCESS);
1616: }

1618: static PetscErrorCode PCGAMGSetType_GAMG(PC pc, PCGAMGType type)
1619: {
1620:   PC_MG   *mg      = (PC_MG *)pc->data;
1621:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;
1622:   PetscErrorCode (*r)(PC);

1624:   PetscFunctionBegin;
1625:   pc_gamg->type = type;
1626:   PetscCall(PetscFunctionListFind(GAMGList, type, &r));
1627:   PetscCheck(r, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown GAMG type %s given", type);
1628:   if (pc_gamg->ops->destroy) {
1629:     PetscCall((*pc_gamg->ops->destroy)(pc));
1630:     PetscCall(PetscMemzero(pc_gamg->ops, sizeof(struct _PCGAMGOps)));
1631:     pc_gamg->ops->createlevel = PCGAMGCreateLevel_GAMG;
1632:     /* cleaning up common data in pc_gamg - this should disappear someday */
1633:     pc_gamg->data_cell_cols      = 0;
1634:     pc_gamg->data_cell_rows      = 0;
1635:     pc_gamg->orig_data_cell_cols = 0;
1636:     pc_gamg->orig_data_cell_rows = 0;
1637:     PetscCall(PetscFree(pc_gamg->data));
1638:     pc_gamg->data_sz = 0;
1639:   }
1640:   PetscCall(PetscFree(pc_gamg->gamg_type_name));
1641:   PetscCall(PetscStrallocpy(type, &pc_gamg->gamg_type_name));
1642:   PetscCall((*r)(pc));
1643:   PetscFunctionReturn(PETSC_SUCCESS);
1644: }

1646: static PetscErrorCode PCView_GAMG(PC pc, PetscViewer viewer)
1647: {
1648:   PC_MG    *mg      = (PC_MG *)pc->data;
1649:   PC_GAMG  *pc_gamg = (PC_GAMG *)mg->innerctx;
1650:   PetscReal gc = 0, oc = 0;

1652:   PetscFunctionBegin;
1653:   PetscCall(PetscViewerASCIIPrintf(viewer, "    GAMG specific options\n"));
1654:   PetscCall(PetscViewerASCIIPrintf(viewer, "      Threshold for dropping small values in graph on each level ="));
1655:   for (PetscInt i = 0; i < mg->nlevels; i++) PetscCall(PetscViewerASCIIPrintf(viewer, " %g", (double)pc_gamg->threshold[i]));
1656:   PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
1657:   PetscCall(PetscViewerASCIIPrintf(viewer, "      Threshold scaling factor for each level not specified = %g\n", (double)pc_gamg->threshold_scale));
1658:   if (pc_gamg->use_aggs_in_asm) PetscCall(PetscViewerASCIIPrintf(viewer, "      Using aggregates from coarsening process to define subdomains for PCASM\n")); // this take presedence
1659:   else if (pc_gamg->asm_hem_aggs) PetscCall(PetscViewerASCIIPrintf(viewer, "      Using aggregates made with %d applications of heavy edge matching (HEM) to define subdomains for PCASM\n", (int)pc_gamg->asm_hem_aggs));
1660:   if (pc_gamg->use_parallel_coarse_grid_solver) PetscCall(PetscViewerASCIIPrintf(viewer, "      Using parallel coarse grid solver (all coarse grid equations not put on one process)\n"));
1661:   if (pc_gamg->injection_index_size) {
1662:     PetscCall(PetscViewerASCIIPrintf(viewer, "      Using injection restriction/prolongation on first level, dofs:"));
1663:     for (int i = 0; i < pc_gamg->injection_index_size; i++) PetscCall(PetscViewerASCIIPrintf(viewer, " %d", (int)pc_gamg->injection_index[i]));
1664:     PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
1665:   }
1666:   if (pc_gamg->ops->view) PetscCall((*pc_gamg->ops->view)(pc, viewer));
1667:   PetscCall(PCMGGetGridComplexity(pc, &gc, &oc));
1668:   PetscCall(PetscViewerASCIIPrintf(viewer, "      Complexity:    grid = %g    operator = %g\n", (double)gc, (double)oc));
1669:   PetscFunctionReturn(PETSC_SUCCESS);
1670: }

1672: /*@
1673:   PCGAMGSetInjectionIndex - Array of subset of variables per vertex to inject into coarse grid space

1675:   Logically Collective

1677:   Input Parameters:
1678: + pc  - the coarsen context
1679: . n   - number of indices
1680: - idx - array of indices

1682:   Options Database Key:
1683: . -pc_gamg_injection_index - array of subset of variables per vertex to use for injection coarse grid space

1685:   Level: intermediate

1687: .seealso: `PCGAMG`
1688: @*/
1689: PetscErrorCode PCGAMGSetInjectionIndex(PC pc, PetscInt n, PetscInt idx[])
1690: {
1691:   PetscFunctionBegin;
1694:   PetscTryMethod(pc, "PCGAMGSetInjectionIndex_C", (PC, PetscInt, PetscInt[]), (pc, n, idx));
1695:   PetscFunctionReturn(PETSC_SUCCESS);
1696: }

1698: static PetscErrorCode PCGAMGSetInjectionIndex_GAMG(PC pc, PetscInt n, PetscInt idx[])
1699: {
1700:   PC_MG   *mg      = (PC_MG *)pc->data;
1701:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

1703:   PetscFunctionBegin;
1704:   pc_gamg->injection_index_size = n;
1705:   PetscCheck(n < MAT_COARSEN_STRENGTH_INDEX_SIZE, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_INCOMP, "array size %d larger than max %d", (int)n, MAT_COARSEN_STRENGTH_INDEX_SIZE);
1706:   for (PetscInt i = 0; i < n; i++) pc_gamg->injection_index[i] = idx[i];
1707:   PetscFunctionReturn(PETSC_SUCCESS);
1708: }

1710: static PetscErrorCode PCSetFromOptions_GAMG(PC pc, PetscOptionItems *PetscOptionsObject)
1711: {
1712:   PC_MG             *mg      = (PC_MG *)pc->data;
1713:   PC_GAMG           *pc_gamg = (PC_GAMG *)mg->innerctx;
1714:   PetscBool          flag;
1715:   MPI_Comm           comm;
1716:   char               prefix[256], tname[32];
1717:   PetscInt           i, n;
1718:   const char        *pcpre;
1719:   static const char *LayoutTypes[] = {"compact", "spread", "PCGAMGLayoutType", "PC_GAMG_LAYOUT", NULL};

1721:   PetscFunctionBegin;
1722:   PetscCall(PetscObjectGetComm((PetscObject)pc, &comm));
1723:   PetscOptionsHeadBegin(PetscOptionsObject, "GAMG options");
1724:   PetscCall(PetscOptionsFList("-pc_gamg_type", "Type of AMG method (only 'agg' supported and useful)", "PCGAMGSetType", GAMGList, pc_gamg->gamg_type_name, tname, sizeof(tname), &flag));
1725:   if (flag) PetscCall(PCGAMGSetType(pc, tname));
1726:   PetscCall(PetscOptionsBool("-pc_gamg_repartition", "Repartion coarse grids", "PCGAMGSetRepartition", pc_gamg->repart, &pc_gamg->repart, NULL));
1727:   PetscCall(PetscOptionsBool("-pc_gamg_use_sa_esteig", "Use eigen estimate from smoothed aggregation for smoother", "PCGAMGSetUseSAEstEig", pc_gamg->use_sa_esteig, &pc_gamg->use_sa_esteig, NULL));
1728:   PetscCall(PetscOptionsBool("-pc_gamg_recompute_esteig", "Set flag to recompute eigen estimates for Chebyshev when matrix changes", "PCGAMGSetRecomputeEstEig", pc_gamg->recompute_esteig, &pc_gamg->recompute_esteig, NULL));
1729:   PetscCall(PetscOptionsBool("-pc_gamg_reuse_interpolation", "Reuse prolongation operator", "PCGAMGReuseInterpolation", pc_gamg->reuse_prol, &pc_gamg->reuse_prol, NULL));
1730:   PetscCall(PetscOptionsBool("-pc_gamg_asm_use_agg", "Use aggregation aggregates for ASM smoother", "PCGAMGASMSetUseAggs", pc_gamg->use_aggs_in_asm, &pc_gamg->use_aggs_in_asm, NULL));
1731:   PetscCall(PetscOptionsBool("-pc_gamg_parallel_coarse_grid_solver", "Use parallel coarse grid solver (otherwise put last grid on one process)", "PCGAMGSetParallelCoarseGridSolve", pc_gamg->use_parallel_coarse_grid_solver, &pc_gamg->use_parallel_coarse_grid_solver, NULL));
1732:   PetscCall(PetscOptionsBool("-pc_gamg_cpu_pin_coarse_grids", "Pin coarse grids to the CPU", "PCGAMGSetCpuPinCoarseGrids", pc_gamg->cpu_pin_coarse_grids, &pc_gamg->cpu_pin_coarse_grids, NULL));
1733:   PetscCall(PetscOptionsEnum("-pc_gamg_coarse_grid_layout_type", "compact: place reduced grids on processes in natural order; spread: distribute to whole machine for more memory bandwidth", "PCGAMGSetCoarseGridLayoutType", LayoutTypes,
1734:                              (PetscEnum)pc_gamg->layout_type, (PetscEnum *)&pc_gamg->layout_type, NULL));
1735:   PetscCall(PetscOptionsInt("-pc_gamg_process_eq_limit", "Limit (goal) on number of equations per process on coarse grids", "PCGAMGSetProcEqLim", pc_gamg->min_eq_proc, &pc_gamg->min_eq_proc, NULL));
1736:   PetscCall(PetscOptionsInt("-pc_gamg_coarse_eq_limit", "Limit on number of equations for the coarse grid", "PCGAMGSetCoarseEqLim", pc_gamg->coarse_eq_limit, &pc_gamg->coarse_eq_limit, NULL));
1737:   PetscCall(PetscOptionsInt("-pc_gamg_asm_hem_aggs", "Number of HEM matching passed in aggregates for ASM smoother", "PCGAMGASMSetHEM", pc_gamg->asm_hem_aggs, &pc_gamg->asm_hem_aggs, NULL));
1738:   PetscCall(PetscOptionsReal("-pc_gamg_threshold_scale", "Scaling of threshold for each level not specified", "PCGAMGSetThresholdScale", pc_gamg->threshold_scale, &pc_gamg->threshold_scale, NULL));
1739:   n = PETSC_MG_MAXLEVELS;
1740:   PetscCall(PetscOptionsRealArray("-pc_gamg_threshold", "Relative threshold to use for dropping edges in aggregation graph", "PCGAMGSetThreshold", pc_gamg->threshold, &n, &flag));
1741:   if (!flag || n < PETSC_MG_MAXLEVELS) {
1742:     if (!flag) n = 1;
1743:     i = n;
1744:     do {
1745:       pc_gamg->threshold[i] = pc_gamg->threshold[i - 1] * pc_gamg->threshold_scale;
1746:     } while (++i < PETSC_MG_MAXLEVELS);
1747:   }
1748:   PetscCall(PetscOptionsInt("-pc_mg_levels", "Set number of MG levels (should get from base class)", "PCGAMGSetNlevels", pc_gamg->Nlevels, &pc_gamg->Nlevels, NULL));
1749:   PetscCheck(pc_gamg->Nlevels <= PETSC_MG_MAXLEVELS, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_INCOMP, "-pc_mg_levels (%d) >= PETSC_MG_MAXLEVELS (%d)", (int)pc_gamg->Nlevels, (int)PETSC_MG_MAXLEVELS);
1750:   n = PETSC_MG_MAXLEVELS;
1751:   PetscCall(PetscOptionsIntArray("-pc_gamg_rank_reduction_factors", "Manual schedule of coarse grid reduction factors that overrides internal heuristics (0 for first reduction puts one process/device)", "PCGAMGSetRankReductionFactors", pc_gamg->level_reduction_factors, &n, &flag));
1752:   if (!flag) i = 0;
1753:   else i = n;
1754:   do {
1755:     pc_gamg->level_reduction_factors[i] = -1;
1756:   } while (++i < PETSC_MG_MAXLEVELS);
1757:   {
1758:     PetscReal eminmax[2] = {0., 0.};
1759:     n                    = 2;
1760:     PetscCall(PetscOptionsRealArray("-pc_gamg_eigenvalues", "extreme eigenvalues for smoothed aggregation", "PCGAMGSetEigenvalues", eminmax, &n, &flag));
1761:     if (flag) {
1762:       PetscCheck(n == 2, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_INCOMP, "-pc_gamg_eigenvalues: must specify 2 parameters, min and max eigenvalues");
1763:       PetscCall(PCGAMGSetEigenvalues(pc, eminmax[1], eminmax[0]));
1764:     }
1765:   }
1766:   pc_gamg->injection_index_size = MAT_COARSEN_STRENGTH_INDEX_SIZE;
1767:   PetscCall(PetscOptionsIntArray("-pc_gamg_injection_index", "Array of indices to use to use injection coarse grid space", "PCGAMGSetInjectionIndex", pc_gamg->injection_index, &pc_gamg->injection_index_size, NULL));
1768:   /* set options for subtype */
1769:   PetscCall((*pc_gamg->ops->setfromoptions)(pc, PetscOptionsObject));

1771:   PetscCall(PCGetOptionsPrefix(pc, &pcpre));
1772:   PetscCall(PetscSNPrintf(prefix, sizeof(prefix), "%spc_gamg_", pcpre ? pcpre : ""));
1773:   PetscOptionsHeadEnd();
1774:   PetscFunctionReturn(PETSC_SUCCESS);
1775: }

1777: /*MC
1778:   PCGAMG - Geometric algebraic multigrid (AMG) preconditioner

1780:   Options Database Keys:
1781: + -pc_gamg_type <type,default=agg> - one of agg, geo, or classical (only smoothed aggregation, agg, supported)
1782: . -pc_gamg_repartition  <bool,default=false> - repartition the degrees of freedom across the coarse grids as they are determined
1783: . -pc_gamg_asm_use_agg <bool,default=false> - use the aggregates from the coasening process to defined the subdomains on each level for the PCASM smoother
1784: . -pc_gamg_process_eq_limit <limit, default=50> - `PCGAMG` will reduce the number of MPI ranks used directly on the coarse grids so that there are around <limit>
1785:                                         equations on each process that has degrees of freedom
1786: . -pc_gamg_coarse_eq_limit <limit, default=50> - Set maximum number of equations on coarsest grid to aim for.
1787: . -pc_gamg_reuse_interpolation <bool,default=true> - when rebuilding the algebraic multigrid preconditioner reuse the previously computed interpolations (should always be true)
1788: . -pc_gamg_threshold[] <thresh,default=[-1,...]> - Before aggregating the graph `PCGAMG` will remove small values from the graph on each level (< 0 does no filtering)
1789: - -pc_gamg_threshold_scale <scale,default=1> - Scaling of threshold on each coarser grid if not specified

1791:   Options Database Keys for Aggregation:
1792: + -pc_gamg_agg_nsmooths <nsmooth, default=1> - number of smoothing steps to use with smooth aggregation
1793: . -pc_gamg_aggressive_coarsening <n,default=1> - number of aggressive coarsening (MIS-2) levels from finest.
1794: . -pc_gamg_aggressive_square_graph <bool,default=false> - Use square graph (A'A) or MIS-k (k=2) for aggressive coarsening
1795: . -pc_gamg_mis_k_minimum_degree_ordering <bool,default=true> - Use minimum degree ordering in greedy MIS algorithm
1796: . -pc_gamg_pc_gamg_asm_hem_aggs <n,default=0> - Number of HEM aggregation steps for ASM smoother
1797: - -pc_gamg_aggressive_mis_k <n,default=2> - Number (k) distance in MIS coarsening (>2 is 'aggressive')

1799:   Options Database Keys for Multigrid:
1800: + -pc_mg_cycle_type <v> - v or w, see `PCMGSetCycleType()`
1801: . -pc_mg_distinct_smoothup - configure the up and down (pre and post) smoothers separately, see PCMGSetDistinctSmoothUp()
1802: . -pc_mg_type <multiplicative> - (one of) additive multiplicative full kascade
1803: - -pc_mg_levels <levels> - Number of levels of multigrid to use. GAMG has a heuristic so pc_mg_levels is not usually used with GAMG

1805:   Level: intermediate

1807:   Notes:
1808:   To obtain good performance for `PCGAMG` for vector valued problems you must
1809:   call `MatSetBlockSize()` to indicate the number of degrees of freedom per grid point
1810:   call `MatSetNearNullSpace()` (or `PCSetCoordinates()` if solving the equations of elasticity) to indicate the near null space of the operator

1812:   The many options for `PCMG` also work directly for `PCGAMG` such as controlling the smoothers on each level etc.

1814:   See [the Users Manual section on PCGAMG](sec_amg) and [the Users Manual section on PCMG](sec_mg)for more details.

1816: .seealso: [](ch_ksp), `PCCreate()`, `PCSetType()`, `MatSetBlockSize()`, `PCMGType`, `PCSetCoordinates()`, `MatSetNearNullSpace()`, `PCGAMGSetType()`, `PCGAMGAGG`, `PCGAMGGEO`, `PCGAMGCLASSICAL`, `PCGAMGSetProcEqLim()`,
1817:           `PCGAMGSetCoarseEqLim()`, `PCGAMGSetRepartition()`, `PCGAMGRegister()`, `PCGAMGSetReuseInterpolation()`, `PCGAMGASMSetUseAggs()`, `PCGAMGSetParallelCoarseGridSolve()`, `PCGAMGSetNlevels()`, `PCGAMGSetThreshold()`, `PCGAMGGetType()`, `PCGAMGSetUseSAEstEig()`
1818: M*/
1819: PETSC_EXTERN PetscErrorCode PCCreate_GAMG(PC pc)
1820: {
1821:   PC_GAMG *pc_gamg;
1822:   PC_MG   *mg;

1824:   PetscFunctionBegin;
1825:   /* register AMG type */
1826:   PetscCall(PCGAMGInitializePackage());

1828:   /* PCGAMG is an inherited class of PCMG. Initialize pc as PCMG */
1829:   PetscCall(PCSetType(pc, PCMG));
1830:   PetscCall(PetscObjectChangeTypeName((PetscObject)pc, PCGAMG));

1832:   /* create a supporting struct and attach it to pc */
1833:   PetscCall(PetscNew(&pc_gamg));
1834:   PetscCall(PCMGSetGalerkin(pc, PC_MG_GALERKIN_EXTERNAL));
1835:   mg           = (PC_MG *)pc->data;
1836:   mg->innerctx = pc_gamg;

1838:   PetscCall(PetscNew(&pc_gamg->ops));

1840:   /* these should be in subctx but repartitioning needs simple arrays */
1841:   pc_gamg->data_sz = 0;
1842:   pc_gamg->data    = NULL;

1844:   /* overwrite the pointers of PCMG by the functions of base class PCGAMG */
1845:   pc->ops->setfromoptions = PCSetFromOptions_GAMG;
1846:   pc->ops->setup          = PCSetUp_GAMG;
1847:   pc->ops->reset          = PCReset_GAMG;
1848:   pc->ops->destroy        = PCDestroy_GAMG;
1849:   mg->view                = PCView_GAMG;

1851:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetProcEqLim_C", PCGAMGSetProcEqLim_GAMG));
1852:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetCoarseEqLim_C", PCGAMGSetCoarseEqLim_GAMG));
1853:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetRepartition_C", PCGAMGSetRepartition_GAMG));
1854:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetEigenvalues_C", PCGAMGSetEigenvalues_GAMG));
1855:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetUseSAEstEig_C", PCGAMGSetUseSAEstEig_GAMG));
1856:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetRecomputeEstEig_C", PCGAMGSetRecomputeEstEig_GAMG));
1857:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetReuseInterpolation_C", PCGAMGSetReuseInterpolation_GAMG));
1858:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGASMSetUseAggs_C", PCGAMGASMSetUseAggs_GAMG));
1859:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetParallelCoarseGridSolve_C", PCGAMGSetParallelCoarseGridSolve_GAMG));
1860:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetCpuPinCoarseGrids_C", PCGAMGSetCpuPinCoarseGrids_GAMG));
1861:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetCoarseGridLayoutType_C", PCGAMGSetCoarseGridLayoutType_GAMG));
1862:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetThreshold_C", PCGAMGSetThreshold_GAMG));
1863:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetRankReductionFactors_C", PCGAMGSetRankReductionFactors_GAMG));
1864:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetThresholdScale_C", PCGAMGSetThresholdScale_GAMG));
1865:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetType_C", PCGAMGSetType_GAMG));
1866:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGGetType_C", PCGAMGGetType_GAMG));
1867:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetNlevels_C", PCGAMGSetNlevels_GAMG));
1868:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGASMSetHEM_C", PCGAMGASMSetHEM_GAMG));
1869:   PetscCall(PetscObjectComposeFunction((PetscObject)pc, "PCGAMGSetInjectionIndex_C", PCGAMGSetInjectionIndex_GAMG));
1870:   pc_gamg->repart                          = PETSC_FALSE;
1871:   pc_gamg->reuse_prol                      = PETSC_TRUE;
1872:   pc_gamg->use_aggs_in_asm                 = PETSC_FALSE;
1873:   pc_gamg->use_parallel_coarse_grid_solver = PETSC_FALSE;
1874:   pc_gamg->cpu_pin_coarse_grids            = PETSC_FALSE;
1875:   pc_gamg->layout_type                     = PCGAMG_LAYOUT_SPREAD;
1876:   pc_gamg->min_eq_proc                     = 50;
1877:   pc_gamg->asm_hem_aggs                    = 0;
1878:   pc_gamg->coarse_eq_limit                 = 50;
1879:   for (int i = 0; i < PETSC_MG_MAXLEVELS; i++) pc_gamg->threshold[i] = -1;
1880:   pc_gamg->threshold_scale  = 1.;
1881:   pc_gamg->Nlevels          = PETSC_MG_MAXLEVELS;
1882:   pc_gamg->current_level    = 0; /* don't need to init really */
1883:   pc_gamg->use_sa_esteig    = PETSC_TRUE;
1884:   pc_gamg->recompute_esteig = PETSC_TRUE;
1885:   pc_gamg->emin             = 0;
1886:   pc_gamg->emax             = 0;

1888:   pc_gamg->ops->createlevel = PCGAMGCreateLevel_GAMG;

1890:   /* PCSetUp_GAMG assumes that the type has been set, so set it to the default now */
1891:   PetscCall(PCGAMGSetType(pc, PCGAMGAGG));
1892:   PetscFunctionReturn(PETSC_SUCCESS);
1893: }

1895: /*@C
1896:   PCGAMGInitializePackage - This function initializes everything in the `PCGAMG` package. It is called
1897:   from `PCInitializePackage()`.

1899:   Level: developer

1901: .seealso: [](ch_ksp), `PetscInitialize()`
1902: @*/
1903: PetscErrorCode PCGAMGInitializePackage(void)
1904: {
1905:   PetscInt l;

1907:   PetscFunctionBegin;
1908:   if (PCGAMGPackageInitialized) PetscFunctionReturn(PETSC_SUCCESS);
1909:   PCGAMGPackageInitialized = PETSC_TRUE;
1910:   PetscCall(PetscFunctionListAdd(&GAMGList, PCGAMGGEO, PCCreateGAMG_GEO));
1911:   PetscCall(PetscFunctionListAdd(&GAMGList, PCGAMGAGG, PCCreateGAMG_AGG));
1912:   PetscCall(PetscFunctionListAdd(&GAMGList, PCGAMGCLASSICAL, PCCreateGAMG_Classical));
1913:   PetscCall(PetscRegisterFinalize(PCGAMGFinalizePackage));

1915:   /* general events */
1916:   PetscCall(PetscLogEventRegister("PCSetUp_GAMG+", PC_CLASSID, &petsc_gamg_setup_events[GAMG_SETUP]));
1917:   PetscCall(PetscLogEventRegister(" PCGAMGCreateG", PC_CLASSID, &petsc_gamg_setup_events[GAMG_GRAPH]));
1918:   PetscCall(PetscLogEventRegister(" GAMG Coarsen", PC_CLASSID, &petsc_gamg_setup_events[GAMG_COARSEN]));
1919:   PetscCall(PetscLogEventRegister("  GAMG MIS/Agg", PC_CLASSID, &petsc_gamg_setup_events[GAMG_MIS]));
1920:   PetscCall(PetscLogEventRegister(" PCGAMGProl", PC_CLASSID, &petsc_gamg_setup_events[GAMG_PROL]));
1921:   PetscCall(PetscLogEventRegister("  GAMG Prol-col", PC_CLASSID, &petsc_gamg_setup_events[GAMG_PROLA]));
1922:   PetscCall(PetscLogEventRegister("  GAMG Prol-lift", PC_CLASSID, &petsc_gamg_setup_events[GAMG_PROLB]));
1923:   PetscCall(PetscLogEventRegister(" PCGAMGOptProl", PC_CLASSID, &petsc_gamg_setup_events[GAMG_OPT]));
1924:   PetscCall(PetscLogEventRegister("  GAMG smooth", PC_CLASSID, &petsc_gamg_setup_events[GAMG_OPTSM]));
1925:   PetscCall(PetscLogEventRegister(" PCGAMGCreateL", PC_CLASSID, &petsc_gamg_setup_events[GAMG_LEVEL]));
1926:   PetscCall(PetscLogEventRegister("  GAMG PtAP", PC_CLASSID, &petsc_gamg_setup_events[GAMG_PTAP]));
1927:   PetscCall(PetscLogEventRegister("  GAMG Reduce", PC_CLASSID, &petsc_gamg_setup_events[GAMG_REDUCE]));
1928:   PetscCall(PetscLogEventRegister("   GAMG Repart", PC_CLASSID, &petsc_gamg_setup_events[GAMG_REPART]));
1929:   /* PetscCall(PetscLogEventRegister("   GAMG Inv-Srt", PC_CLASSID, &petsc_gamg_setup_events[SET13])); */
1930:   /* PetscCall(PetscLogEventRegister("   GAMG Move A", PC_CLASSID, &petsc_gamg_setup_events[SET14])); */
1931:   /* PetscCall(PetscLogEventRegister("   GAMG Move P", PC_CLASSID, &petsc_gamg_setup_events[SET15])); */
1932:   for (l = 0; l < PETSC_MG_MAXLEVELS; l++) {
1933:     char ename[32];

1935:     PetscCall(PetscSNPrintf(ename, sizeof(ename), "PCGAMG Squ l%02" PetscInt_FMT, l));
1936:     PetscCall(PetscLogEventRegister(ename, PC_CLASSID, &petsc_gamg_setup_matmat_events[l][0]));
1937:     PetscCall(PetscSNPrintf(ename, sizeof(ename), "PCGAMG Gal l%02" PetscInt_FMT, l));
1938:     PetscCall(PetscLogEventRegister(ename, PC_CLASSID, &petsc_gamg_setup_matmat_events[l][1]));
1939:     PetscCall(PetscSNPrintf(ename, sizeof(ename), "PCGAMG Opt l%02" PetscInt_FMT, l));
1940:     PetscCall(PetscLogEventRegister(ename, PC_CLASSID, &petsc_gamg_setup_matmat_events[l][2]));
1941:   }
1942: #if defined(GAMG_STAGES)
1943:   { /* create timer stages */
1944:     char str[32];
1945:     PetscCall(PetscSNPrintf(str, PETSC_STATIC_ARRAY_LENGTH(str), "GAMG Level %d", 0));
1946:     PetscCall(PetscLogStageRegister(str, &gamg_stages[0]));
1947:   }
1948: #endif
1949:   PetscFunctionReturn(PETSC_SUCCESS);
1950: }

1952: /*@C
1953:   PCGAMGFinalizePackage - This function frees everything from the `PCGAMG` package. It is
1954:   called from `PetscFinalize()` automatically.

1956:   Level: developer

1958: .seealso: [](ch_ksp), `PetscFinalize()`
1959: @*/
1960: PetscErrorCode PCGAMGFinalizePackage(void)
1961: {
1962:   PetscFunctionBegin;
1963:   PCGAMGPackageInitialized = PETSC_FALSE;
1964:   PetscCall(PetscFunctionListDestroy(&GAMGList));
1965:   PetscFunctionReturn(PETSC_SUCCESS);
1966: }

1968: /*@C
1969:   PCGAMGRegister - Register a `PCGAMG` implementation.

1971:   Input Parameters:
1972: + type   - string that will be used as the name of the `PCGAMG` type.
1973: - create - function for creating the gamg context.

1975:   Level: developer

1977: .seealso: [](ch_ksp), `PCGAMGType`, `PCGAMG`, `PCGAMGSetType()`
1978: @*/
1979: PetscErrorCode PCGAMGRegister(PCGAMGType type, PetscErrorCode (*create)(PC))
1980: {
1981:   PetscFunctionBegin;
1982:   PetscCall(PCGAMGInitializePackage());
1983:   PetscCall(PetscFunctionListAdd(&GAMGList, type, create));
1984:   PetscFunctionReturn(PETSC_SUCCESS);
1985: }

1987: /*@C
1988:   PCGAMGCreateGraph - Creates a graph that is used by the ``PCGAMGType`` in the coarsening process

1990:   Input Parameters:
1991: + pc - the `PCGAMG`
1992: - A  - the matrix, for any level

1994:   Output Parameter:
1995: . G - the graph

1997:   Level: advanced

1999: .seealso: [](ch_ksp), `PCGAMGType`, `PCGAMG`, `PCGAMGSetType()`
2000: @*/
2001: PetscErrorCode PCGAMGCreateGraph(PC pc, Mat A, Mat *G)
2002: {
2003:   PC_MG   *mg      = (PC_MG *)pc->data;
2004:   PC_GAMG *pc_gamg = (PC_GAMG *)mg->innerctx;

2006:   PetscFunctionBegin;
2007:   PetscCall(pc_gamg->ops->creategraph(pc, A, G));
2008:   PetscFunctionReturn(PETSC_SUCCESS);
2009: }