Actual source code: pcmpi.c

  1: /*
  2:     This file creates an MPI parallel KSP from a sequential PC that lives on MPI rank 0.
  3:     It is intended to allow using PETSc MPI parallel linear solvers from non-MPI codes.

  5:     That program may use OpenMP to compute the right-hand side and matrix for the linear system

  7:     The code uses MPI_COMM_WORLD below but maybe it should be PETSC_COMM_WORLD

  9:     The resulting KSP and PC can only be controlled via the options database, though some common commands
 10:     could be passed through the server.

 12: */
 13: #include <petsc/private/pcimpl.h>
 14: #include <petsc/private/kspimpl.h>
 15: #include <petscts.h>
 16: #include <petsctao.h>
 17: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
 18:   #include <pthread.h>
 19: #endif

 21: #define PC_MPI_MAX_RANKS  256
 22: #define PC_MPI_COMM_WORLD MPI_COMM_WORLD

 24: typedef struct {
 25:   KSP       ksps[PC_MPI_MAX_RANKS];                               /* The addresses of the MPI parallel KSP on each process, NULL when not on a process. */
 26:   PetscInt  sendcount[PC_MPI_MAX_RANKS], displ[PC_MPI_MAX_RANKS]; /* For scatter/gather of rhs/solution */
 27:   PetscInt  NZ[PC_MPI_MAX_RANKS], NZdispl[PC_MPI_MAX_RANKS];      /* For scatter of nonzero values in matrix (and nonzero column indices initially */
 28:   PetscInt  mincntperrank;                                        /* minimum number of desired matrix rows per active rank in MPI parallel KSP solve */
 29:   PetscBool alwaysuseserver;                                      /* for debugging use the server infrastructure even if only one MPI process is used for the solve */
 30: } PC_MPI;

 32: typedef enum {
 33:   PCMPI_EXIT, /* exit the PC server loop, means the controlling sequential program is done */
 34:   PCMPI_CREATE,
 35:   PCMPI_SET_MAT,           /* set original matrix (or one with different nonzero pattern) */
 36:   PCMPI_UPDATE_MAT_VALUES, /* update current matrix with new nonzero values */
 37:   PCMPI_SOLVE,
 38:   PCMPI_VIEW,
 39:   PCMPI_DESTROY /* destroy a PC that is no longer needed */
 40: } PCMPICommand;

 42: static MPI_Comm      PCMPIComms[PC_MPI_MAX_RANKS];
 43: static PetscBool     PCMPICommSet = PETSC_FALSE;
 44: static PetscInt      PCMPISolveCounts[PC_MPI_MAX_RANKS], PCMPIKSPCounts[PC_MPI_MAX_RANKS], PCMPIMatCounts[PC_MPI_MAX_RANKS], PCMPISolveCountsSeq = 0, PCMPIKSPCountsSeq = 0;
 45: static PetscInt      PCMPIIterations[PC_MPI_MAX_RANKS], PCMPISizes[PC_MPI_MAX_RANKS], PCMPIIterationsSeq = 0, PCMPISizesSeq = 0;
 46: static PetscLogEvent EventServerDist, EventServerDistMPI;
 47: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
 48: static pthread_mutex_t *PCMPIServerLocks;
 49: #else
 50: static void *PCMPIServerLocks;
 51: #endif

 53: static PetscErrorCode PCMPICommsCreate(void)
 54: {
 55:   MPI_Comm    comm = PC_MPI_COMM_WORLD;
 56:   PetscMPIInt size, rank, i;

 58:   PetscFunctionBegin;
 59:   PetscCallMPI(MPI_Comm_size(comm, &size));
 60:   PetscCheck(size <= PC_MPI_MAX_RANKS, PETSC_COMM_SELF, PETSC_ERR_SUP, "No support for using more than PC_MPI_MAX_RANKS MPI ranks in an MPI linear solver server solve");
 61:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
 62:   /* comm for size 1 is useful only for debugging */
 63:   for (i = 0; i < size; i++) {
 64:     PetscMPIInt color = rank < i + 1 ? 0 : MPI_UNDEFINED;
 65:     PetscCallMPI(MPI_Comm_split(comm, color, 0, &PCMPIComms[i]));
 66:     PCMPISolveCounts[i] = 0;
 67:     PCMPIKSPCounts[i]   = 0;
 68:     PCMPIIterations[i]  = 0;
 69:     PCMPISizes[i]       = 0;
 70:   }
 71:   PCMPICommSet = PETSC_TRUE;
 72:   PetscFunctionReturn(PETSC_SUCCESS);
 73: }

 75: static PetscErrorCode PCMPICommsDestroy(void)
 76: {
 77:   MPI_Comm    comm = PC_MPI_COMM_WORLD;
 78:   PetscMPIInt size, rank, i;

 80:   PetscFunctionBegin;
 81:   if (!PCMPICommSet) PetscFunctionReturn(PETSC_SUCCESS);
 82:   PetscCallMPI(MPI_Comm_size(comm, &size));
 83:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
 84:   for (i = 0; i < size; i++) {
 85:     if (PCMPIComms[i] != MPI_COMM_NULL) PetscCallMPI(MPI_Comm_free(&PCMPIComms[i]));
 86:   }
 87:   PCMPICommSet = PETSC_FALSE;
 88:   PetscFunctionReturn(PETSC_SUCCESS);
 89: }

 91: static PetscErrorCode PCMPICreate(PC pc)
 92: {
 93:   PC_MPI     *km   = pc ? (PC_MPI *)pc->data : NULL;
 94:   MPI_Comm    comm = PC_MPI_COMM_WORLD;
 95:   KSP         ksp;
 96:   PetscInt    N[2], mincntperrank = 0;
 97:   PetscMPIInt size;
 98:   Mat         sA;
 99:   char       *cprefix = NULL;
100:   PetscMPIInt len     = 0;

102:   PetscFunctionBegin;
103:   PCMPIServerInSolve = PETSC_TRUE;
104:   if (!PCMPICommSet) PetscCall(PCMPICommsCreate());
105:   PetscCallMPI(MPI_Comm_size(comm, &size));
106:   if (pc) {
107:     if (size == 1) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Warning: Running KSP type of MPI on a one rank MPI run, this will be less efficient then not using this type\n"));
108:     PetscCall(PCGetOperators(pc, &sA, &sA));
109:     PetscCall(MatGetSize(sA, &N[0], &N[1]));
110:   }
111:   PetscCallMPI(MPI_Bcast(N, 2, MPIU_INT, 0, comm));

113:   /* choose a suitable sized MPI_Comm for the problem to be solved on */
114:   if (km) mincntperrank = km->mincntperrank;
115:   PetscCallMPI(MPI_Bcast(&mincntperrank, 1, MPI_INT, 0, comm));
116:   comm = PCMPIComms[PetscMin(size, PetscMax(1, N[0] / mincntperrank)) - 1];
117:   if (comm == MPI_COMM_NULL) {
118:     ksp                = NULL;
119:     PCMPIServerInSolve = PETSC_FALSE;
120:     PetscFunctionReturn(PETSC_SUCCESS);
121:   }
122:   PetscCall(PetscLogStagePush(PCMPIStage));
123:   PetscCall(KSPCreate(comm, &ksp));
124:   PetscCall(KSPSetNestLevel(ksp, 1));
125:   PetscCall(PetscObjectSetTabLevel((PetscObject)ksp, 1));
126:   PetscCall(PetscLogStagePop());
127:   PetscCallMPI(MPI_Gather(&ksp, 1, MPI_AINT, pc ? km->ksps : NULL, 1, MPI_AINT, 0, comm));
128:   if (pc) {
129:     size_t      slen;
130:     const char *prefix = NULL;
131:     char       *found  = NULL;

133:     PetscCallMPI(MPI_Comm_size(comm, &size));
134:     PCMPIKSPCounts[size - 1]++;
135:     /* Created KSP gets prefix of PC minus the mpi_linear_solver_server_ portion */
136:     PetscCall(PCGetOptionsPrefix(pc, &prefix));
137:     PetscCheck(prefix, PETSC_COMM_SELF, PETSC_ERR_PLIB, "PCMPI missing required prefix");
138:     PetscCall(PetscStrallocpy(prefix, &cprefix));
139:     PetscCall(PetscStrstr(cprefix, "mpi_linear_solver_server_", &found));
140:     PetscCheck(found, PETSC_COMM_SELF, PETSC_ERR_PLIB, "PCMPI missing mpi_linear_solver_server_ portion of prefix");
141:     *found = 0;
142:     PetscCall(PetscStrlen(cprefix, &slen));
143:     PetscCall(PetscMPIIntCast(slen, &len));
144:   }
145:   PetscCallMPI(MPI_Bcast(&len, 1, MPI_INT, 0, comm));
146:   if (len) {
147:     if (!pc) PetscCall(PetscMalloc1(len + 1, &cprefix));
148:     PetscCallMPI(MPI_Bcast(cprefix, len + 1, MPI_CHAR, 0, comm));
149:     PetscCall(KSPSetOptionsPrefix(ksp, cprefix));
150:   }
151:   PetscCall(PetscFree(cprefix));
152:   PCMPIServerInSolve = PETSC_FALSE;
153:   PetscFunctionReturn(PETSC_SUCCESS);
154: }

156: static PetscErrorCode PCMPISetMat(PC pc)
157: {
158:   PC_MPI            *km = pc ? (PC_MPI *)pc->data : NULL;
159:   Mat                A;
160:   PetscInt           m, n, j, bs;
161:   Mat                sA;
162:   MPI_Comm           comm = PC_MPI_COMM_WORLD;
163:   KSP                ksp;
164:   PetscLayout        layout;
165:   const PetscInt    *IA = NULL, *JA = NULL, *ia, *ja;
166:   const PetscInt    *range;
167:   PetscInt          *NZ = NULL, sendcounti[PC_MPI_MAX_RANKS], displi[PC_MPI_MAX_RANKS], *NZdispl = NULL, nz;
168:   PetscMPIInt        size, i;
169:   const PetscScalar *a                = NULL, *sa;
170:   PetscInt           matproperties[8] = {0}, rstart, rend;
171:   char              *cprefix;

173:   PetscFunctionBegin;
174:   PetscCallMPI(MPI_Scatter(pc ? km->ksps : NULL, 1, MPI_AINT, &ksp, 1, MPI_AINT, 0, comm));
175:   if (!ksp) PetscFunctionReturn(PETSC_SUCCESS);
176:   PCMPIServerInSolve = PETSC_TRUE;
177:   PetscCall(PetscLogEventBegin(EventServerDist, NULL, NULL, NULL, NULL));
178:   PetscCall(PetscObjectGetComm((PetscObject)ksp, &comm));
179:   if (pc) {
180:     PetscBool   isset, issymmetric, ishermitian, isspd, isstructurallysymmetric;
181:     const char *prefix;
182:     size_t      clen;

184:     PetscCallMPI(MPI_Comm_size(comm, &size));
185:     PCMPIMatCounts[size - 1]++;
186:     PetscCall(PCGetOperators(pc, &sA, &sA));
187:     PetscCall(MatGetSize(sA, &matproperties[0], &matproperties[1]));
188:     PetscCall(MatGetBlockSize(sA, &bs));
189:     matproperties[2] = bs;
190:     PetscCall(MatIsSymmetricKnown(sA, &isset, &issymmetric));
191:     matproperties[3] = !isset ? 0 : (issymmetric ? 1 : 2);
192:     PetscCall(MatIsHermitianKnown(sA, &isset, &ishermitian));
193:     matproperties[4] = !isset ? 0 : (ishermitian ? 1 : 2);
194:     PetscCall(MatIsSPDKnown(sA, &isset, &isspd));
195:     matproperties[5] = !isset ? 0 : (isspd ? 1 : 2);
196:     PetscCall(MatIsStructurallySymmetricKnown(sA, &isset, &isstructurallysymmetric));
197:     matproperties[6] = !isset ? 0 : (isstructurallysymmetric ? 1 : 2);
198:     /* Created Mat gets prefix of input Mat PLUS the mpi_linear_solver_server_ portion */
199:     PetscCall(MatGetOptionsPrefix(sA, &prefix));
200:     PetscCall(PetscStrallocpy(prefix, &cprefix));
201:     PetscCall(PetscStrlen(cprefix, &clen));
202:     matproperties[7] = (PetscInt)clen;
203:   }
204:   PetscCallMPI(MPI_Bcast(matproperties, PETSC_STATIC_ARRAY_LENGTH(matproperties), MPIU_INT, 0, comm));

206:   /* determine ownership ranges of matrix columns */
207:   PetscCall(PetscLayoutCreate(comm, &layout));
208:   PetscCall(PetscLayoutSetBlockSize(layout, matproperties[2]));
209:   PetscCall(PetscLayoutSetSize(layout, matproperties[1]));
210:   PetscCall(PetscLayoutSetUp(layout));
211:   PetscCall(PetscLayoutGetLocalSize(layout, &n));
212:   PetscCall(PetscLayoutDestroy(&layout));

214:   /* determine ownership ranges of matrix rows */
215:   PetscCall(PetscLayoutCreate(comm, &layout));
216:   PetscCall(PetscLayoutSetBlockSize(layout, matproperties[2]));
217:   PetscCall(PetscLayoutSetSize(layout, matproperties[0]));
218:   PetscCall(PetscLayoutSetUp(layout));
219:   PetscCall(PetscLayoutGetLocalSize(layout, &m));
220:   PetscCall(PetscLayoutGetRange(layout, &rstart, &rend));

222:   PetscCall(PetscLogEventBegin(EventServerDistMPI, NULL, NULL, NULL, NULL));
223:   /* copy over the matrix nonzero structure and values */
224:   if (pc) {
225:     PetscCall(MatGetRowIJ(sA, 0, PETSC_FALSE, PETSC_FALSE, NULL, &IA, &JA, NULL));
226:     if (!PCMPIServerUseShmget) {
227:       NZ      = km->NZ;
228:       NZdispl = km->NZdispl;
229:       PetscCall(PetscLayoutGetRanges(layout, &range));
230:       for (i = 0; i < size; i++) {
231:         sendcounti[i] = 1 + range[i + 1] - range[i];
232:         NZ[i]         = IA[range[i + 1]] - IA[range[i]];
233:       }
234:       displi[0]  = 0;
235:       NZdispl[0] = 0;
236:       for (j = 1; j < size; j++) {
237:         displi[j]  = displi[j - 1] + sendcounti[j - 1] - 1;
238:         NZdispl[j] = NZdispl[j - 1] + NZ[j - 1];
239:       }
240:     }
241:     PetscCall(MatSeqAIJGetArrayRead(sA, &sa));
242:   }
243:   PetscCall(PetscLayoutDestroy(&layout));

245:   PetscCall(MatCreate(comm, &A));
246:   if (matproperties[7] > 0) {
247:     PetscMPIInt ni;

249:     PetscCall(PetscMPIIntCast(matproperties[7] + 1, &ni));
250:     if (!pc) PetscCall(PetscMalloc1(matproperties[7] + 1, &cprefix));
251:     PetscCallMPI(MPI_Bcast(cprefix, ni, MPI_CHAR, 0, comm));
252:     PetscCall(MatSetOptionsPrefix(A, cprefix));
253:     PetscCall(PetscFree(cprefix));
254:   }
255:   PetscCall(MatAppendOptionsPrefix(A, "mpi_linear_solver_server_"));
256:   PetscCall(MatSetSizes(A, m, n, matproperties[0], matproperties[1]));
257:   PetscCall(MatSetType(A, MATMPIAIJ));

259:   if (!PCMPIServerUseShmget) {
260:     PetscCallMPI(MPI_Scatter(NZ, 1, MPIU_INT, &nz, 1, MPIU_INT, 0, comm));
261:     PetscCall(PetscMalloc3(n + 1, &ia, nz, &ja, nz, &a));
262:     PetscCallMPI(MPIU_Scatterv(IA, sendcounti, displi, MPIU_INT, (void *)ia, n + 1, MPIU_INT, 0, comm));
263:     PetscCallMPI(MPIU_Scatterv(JA, NZ, NZdispl, MPIU_INT, (void *)ja, nz, MPIU_INT, 0, comm));
264:     PetscCallMPI(MPIU_Scatterv(sa, NZ, NZdispl, MPIU_SCALAR, (void *)a, nz, MPIU_SCALAR, 0, comm));
265:   } else {
266:     const void           *addr[3] = {(const void **)IA, (const void **)JA, (const void **)sa};
267:     PCMPIServerAddresses *addresses;

269:     PetscCall(PetscNew(&addresses));
270:     addresses->n = 3;
271:     PetscCall(PetscShmgetMapAddresses(comm, addresses->n, addr, addresses->addr));
272:     ia = rstart + (PetscInt *)addresses->addr[0];
273:     ja = ia[0] + (PetscInt *)addresses->addr[1];
274:     a  = ia[0] + (PetscScalar *)addresses->addr[2];
275:     PetscCall(PetscObjectContainerCompose((PetscObject)A, "PCMPIServerAddresses", (void *)addresses, PCMPIServerAddressesDestroy));
276:   }

278:   if (pc) {
279:     PetscCall(MatSeqAIJRestoreArrayRead(sA, &sa));
280:     PetscCall(MatRestoreRowIJ(sA, 0, PETSC_FALSE, PETSC_FALSE, NULL, &IA, &JA, NULL));
281:   }
282:   PetscCall(PetscLogEventEnd(EventServerDistMPI, NULL, NULL, NULL, NULL));

284:   PetscCall(PetscLogStagePush(PCMPIStage));
285:   PetscCall(MatMPIAIJSetPreallocationCSR(A, ia, ja, a));
286:   PetscCall(MatSetBlockSize(A, matproperties[2]));

288:   if (matproperties[3]) PetscCall(MatSetOption(A, MAT_SYMMETRIC, matproperties[3] == 1 ? PETSC_TRUE : PETSC_FALSE));
289:   if (matproperties[4]) PetscCall(MatSetOption(A, MAT_HERMITIAN, matproperties[4] == 1 ? PETSC_TRUE : PETSC_FALSE));
290:   if (matproperties[5]) PetscCall(MatSetOption(A, MAT_SPD, matproperties[5] == 1 ? PETSC_TRUE : PETSC_FALSE));
291:   if (matproperties[6]) PetscCall(MatSetOption(A, MAT_STRUCTURALLY_SYMMETRIC, matproperties[6] == 1 ? PETSC_TRUE : PETSC_FALSE));

293:   if (!PCMPIServerUseShmget) PetscCall(PetscFree3(ia, ja, a));
294:   PetscCall(KSPSetOperators(ksp, A, A));
295:   if (!ksp->vec_sol) PetscCall(MatCreateVecs(A, &ksp->vec_sol, &ksp->vec_rhs));
296:   PetscCall(PetscLogStagePop());
297:   if (pc && !PCMPIServerUseShmget) { /* needed for scatterv/gatherv of rhs and solution */
298:     const PetscInt *range;

300:     PetscCall(VecGetOwnershipRanges(ksp->vec_sol, &range));
301:     for (i = 0; i < size; i++) {
302:       km->sendcount[i] = range[i + 1] - range[i];
303:       km->displ[i]     = range[i];
304:     }
305:   }
306:   PetscCall(MatDestroy(&A));
307:   PetscCall(PetscLogEventEnd(EventServerDist, NULL, NULL, NULL, NULL));
308:   PetscCall(KSPSetFromOptions(ksp));
309:   PCMPIServerInSolve = PETSC_FALSE;
310:   PetscFunctionReturn(PETSC_SUCCESS);
311: }

313: static PetscErrorCode PCMPIUpdateMatValues(PC pc)
314: {
315:   PC_MPI            *km = pc ? (PC_MPI *)pc->data : NULL;
316:   KSP                ksp;
317:   Mat                sA, A;
318:   MPI_Comm           comm = PC_MPI_COMM_WORLD;
319:   const PetscInt    *ia, *IA;
320:   const PetscScalar *a;
321:   PetscCount         nz;
322:   const PetscScalar *sa = NULL;
323:   PetscMPIInt        size;
324:   PetscInt           rstart, matproperties[4] = {0, 0, 0, 0};

326:   PetscFunctionBegin;
327:   if (pc) {
328:     PetscCall(PCGetOperators(pc, &sA, &sA));
329:     PetscCall(MatSeqAIJGetArrayRead(sA, &sa));
330:     PetscCall(MatGetRowIJ(sA, 0, PETSC_FALSE, PETSC_FALSE, NULL, &IA, NULL, NULL));
331:   }
332:   PetscCallMPI(MPI_Scatter(pc ? km->ksps : NULL, 1, MPI_AINT, &ksp, 1, MPI_AINT, 0, comm));
333:   if (!ksp) PetscFunctionReturn(PETSC_SUCCESS);
334:   PCMPIServerInSolve = PETSC_TRUE;
335:   PetscCall(PetscLogEventBegin(EventServerDist, NULL, NULL, NULL, NULL));
336:   PetscCall(PetscObjectGetComm((PetscObject)ksp, &comm));
337:   PetscCallMPI(MPI_Comm_size(comm, &size));
338:   PCMPIMatCounts[size - 1]++;
339:   PetscCall(KSPGetOperators(ksp, NULL, &A));
340:   PetscCall(PetscLogEventBegin(EventServerDistMPI, NULL, NULL, NULL, NULL));
341:   if (!PCMPIServerUseShmget) {
342:     PetscInt petsc_nz;

344:     PetscCall(MatMPIAIJGetNumberNonzeros(A, &nz));
345:     PetscCall(PetscIntCast(nz, &petsc_nz));
346:     PetscCall(PetscMalloc1(nz, &a));
347:     PetscCallMPI(MPIU_Scatterv(sa, pc ? km->NZ : NULL, pc ? km->NZdispl : NULL, MPIU_SCALAR, (void *)a, petsc_nz, MPIU_SCALAR, 0, comm));
348:   } else {
349:     PetscCall(MatGetOwnershipRange(A, &rstart, NULL));
350:     PCMPIServerAddresses *addresses;
351:     PetscCall(PetscObjectContainerQuery((PetscObject)A, "PCMPIServerAddresses", (void **)&addresses));
352:     ia = rstart + (PetscInt *)addresses->addr[0];
353:     a  = ia[0] + (PetscScalar *)addresses->addr[2];
354:   }
355:   PetscCall(PetscLogEventEnd(EventServerDistMPI, NULL, NULL, NULL, NULL));
356:   if (pc) {
357:     PetscBool isset, issymmetric, ishermitian, isspd, isstructurallysymmetric;

359:     PetscCall(MatSeqAIJRestoreArrayRead(sA, &sa));
360:     PetscCall(MatRestoreRowIJ(sA, 0, PETSC_FALSE, PETSC_FALSE, NULL, &IA, NULL, NULL));

362:     PetscCall(MatIsSymmetricKnown(sA, &isset, &issymmetric));
363:     matproperties[0] = !isset ? 0 : (issymmetric ? 1 : 2);
364:     PetscCall(MatIsHermitianKnown(sA, &isset, &ishermitian));
365:     matproperties[1] = !isset ? 0 : (ishermitian ? 1 : 2);
366:     PetscCall(MatIsSPDKnown(sA, &isset, &isspd));
367:     matproperties[2] = !isset ? 0 : (isspd ? 1 : 2);
368:     PetscCall(MatIsStructurallySymmetricKnown(sA, &isset, &isstructurallysymmetric));
369:     matproperties[3] = !isset ? 0 : (isstructurallysymmetric ? 1 : 2);
370:   }
371:   PetscCall(MatUpdateMPIAIJWithArray(A, a));
372:   if (!PCMPIServerUseShmget) PetscCall(PetscFree(a));
373:   PetscCallMPI(MPI_Bcast(matproperties, 4, MPIU_INT, 0, comm));
374:   /* if any of these properties was previously set and is now not set this will result in incorrect properties in A since there is no way to unset a property */
375:   if (matproperties[0]) PetscCall(MatSetOption(A, MAT_SYMMETRIC, matproperties[0] == 1 ? PETSC_TRUE : PETSC_FALSE));
376:   if (matproperties[1]) PetscCall(MatSetOption(A, MAT_HERMITIAN, matproperties[1] == 1 ? PETSC_TRUE : PETSC_FALSE));
377:   if (matproperties[2]) PetscCall(MatSetOption(A, MAT_SPD, matproperties[2] == 1 ? PETSC_TRUE : PETSC_FALSE));
378:   if (matproperties[3]) PetscCall(MatSetOption(A, MAT_STRUCTURALLY_SYMMETRIC, matproperties[3] == 1 ? PETSC_TRUE : PETSC_FALSE));
379:   PetscCall(PetscLogEventEnd(EventServerDist, NULL, NULL, NULL, NULL));
380:   PCMPIServerInSolve = PETSC_FALSE;
381:   PetscFunctionReturn(PETSC_SUCCESS);
382: }

384: static PetscErrorCode PCMPISolve(PC pc, Vec B, Vec X)
385: {
386:   PC_MPI            *km = pc ? (PC_MPI *)pc->data : NULL;
387:   KSP                ksp;
388:   MPI_Comm           comm = PC_MPI_COMM_WORLD;
389:   const PetscScalar *sb   = NULL, *x;
390:   PetscScalar       *b, *sx = NULL;
391:   PetscInt           its, n;
392:   PetscMPIInt        size;
393:   void              *addr[2];

395:   PetscFunctionBegin;
396:   PetscCallMPI(MPI_Scatter(pc ? km->ksps : &ksp, 1, MPI_AINT, &ksp, 1, MPI_AINT, 0, comm));
397:   if (!ksp) PetscFunctionReturn(PETSC_SUCCESS);
398:   PCMPIServerInSolve = PETSC_TRUE;
399:   PetscCall(PetscLogEventBegin(EventServerDist, NULL, NULL, NULL, NULL));
400:   PetscCall(PetscObjectGetComm((PetscObject)ksp, &comm));

402:   /* scatterv rhs */
403:   PetscCallMPI(MPI_Comm_size(comm, &size));
404:   if (pc) {
405:     PetscInt N;

407:     PCMPISolveCounts[size - 1]++;
408:     PetscCall(MatGetSize(pc->pmat, &N, NULL));
409:     PCMPISizes[size - 1] += N;
410:   }
411:   PetscCall(VecGetLocalSize(ksp->vec_rhs, &n));
412:   PetscCall(PetscLogEventBegin(EventServerDistMPI, NULL, NULL, NULL, NULL));
413:   if (!PCMPIServerUseShmget) {
414:     PetscCall(VecGetArray(ksp->vec_rhs, &b));
415:     if (pc) PetscCall(VecGetArrayRead(B, &sb));
416:     PetscCallMPI(MPIU_Scatterv(sb, pc ? km->sendcount : NULL, pc ? km->displ : NULL, MPIU_SCALAR, b, n, MPIU_SCALAR, 0, comm));
417:     if (pc) PetscCall(VecRestoreArrayRead(B, &sb));
418:     PetscCall(VecRestoreArray(ksp->vec_rhs, &b));
419:     // TODO: scatter initial guess if needed
420:   } else {
421:     PetscInt rstart;

423:     if (pc) PetscCall(VecGetArrayRead(B, &sb));
424:     if (pc) PetscCall(VecGetArray(X, &sx));
425:     const void *inaddr[2] = {(const void **)sb, (const void **)sx};
426:     if (pc) PetscCall(VecRestoreArray(X, &sx));
427:     if (pc) PetscCall(VecRestoreArrayRead(B, &sb));

429:     PetscCall(PetscShmgetMapAddresses(comm, 2, inaddr, addr));
430:     PetscCall(VecGetOwnershipRange(ksp->vec_rhs, &rstart, NULL));
431:     PetscCall(VecPlaceArray(ksp->vec_rhs, rstart + (PetscScalar *)addr[0]));
432:     PetscCall(VecPlaceArray(ksp->vec_sol, rstart + (PetscScalar *)addr[1]));
433:   }
434:   PetscCall(PetscLogEventEnd(EventServerDistMPI, NULL, NULL, NULL, NULL));

436:   PetscCall(PetscLogEventEnd(EventServerDist, NULL, NULL, NULL, NULL));
437:   PetscCall(PetscLogStagePush(PCMPIStage));
438:   PetscCall(KSPSolve(ksp, NULL, NULL));
439:   PetscCall(PetscLogStagePop());
440:   PetscCall(PetscLogEventBegin(EventServerDist, NULL, NULL, NULL, NULL));
441:   PetscCall(KSPGetIterationNumber(ksp, &its));
442:   PCMPIIterations[size - 1] += its;
443:   // TODO: send iterations up to outer KSP

445:   if (PCMPIServerUseShmget) PetscCall(PetscShmgetUnmapAddresses(2, addr));

447:   /* gather solution */
448:   PetscCall(PetscLogEventBegin(EventServerDistMPI, NULL, NULL, NULL, NULL));
449:   if (!PCMPIServerUseShmget) {
450:     PetscCall(VecGetArrayRead(ksp->vec_sol, &x));
451:     if (pc) PetscCall(VecGetArray(X, &sx));
452:     PetscCallMPI(MPIU_Gatherv(x, n, MPIU_SCALAR, sx, pc ? km->sendcount : NULL, pc ? km->displ : NULL, MPIU_SCALAR, 0, comm));
453:     if (pc) PetscCall(VecRestoreArray(X, &sx));
454:     PetscCall(VecRestoreArrayRead(ksp->vec_sol, &x));
455:   } else {
456:     PetscCall(VecResetArray(ksp->vec_rhs));
457:     PetscCall(VecResetArray(ksp->vec_sol));
458:   }
459:   PetscCall(PetscLogEventEnd(EventServerDistMPI, NULL, NULL, NULL, NULL));
460:   PetscCall(PetscLogEventEnd(EventServerDist, NULL, NULL, NULL, NULL));
461:   PCMPIServerInSolve = PETSC_FALSE;
462:   PetscFunctionReturn(PETSC_SUCCESS);
463: }

465: static PetscErrorCode PCMPIDestroy(PC pc)
466: {
467:   PC_MPI  *km = pc ? (PC_MPI *)pc->data : NULL;
468:   KSP      ksp;
469:   MPI_Comm comm = PC_MPI_COMM_WORLD;

471:   PetscFunctionBegin;
472:   PetscCallMPI(MPI_Scatter(pc ? km->ksps : NULL, 1, MPI_AINT, &ksp, 1, MPI_AINT, 0, comm));
473:   if (!ksp) PetscFunctionReturn(PETSC_SUCCESS);
474:   PetscCall(PetscLogStagePush(PCMPIStage));
475:   PCMPIServerInSolve = PETSC_TRUE;
476:   PetscCall(KSPDestroy(&ksp));
477:   PetscCall(PetscLogStagePop());
478:   PCMPIServerInSolve = PETSC_FALSE;
479:   PetscFunctionReturn(PETSC_SUCCESS);
480: }

482: static PetscErrorCode PCMPIServerBroadcastRequest(PCMPICommand request)
483: {
484: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
485:   PetscMPIInt dummy1 = 1, dummy2;
486: #endif

488:   PetscFunctionBegin;
489: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
490:   if (PCMPIServerUseShmget) {
491:     for (PetscMPIInt i = 1; i < PetscGlobalSize; i++) pthread_mutex_unlock(&PCMPIServerLocks[i]);
492:   }
493: #endif
494:   PetscCallMPI(MPI_Bcast(&request, 1, MPIU_ENUM, 0, MPI_COMM_WORLD));
495:   /* next line ensures the sender has already taken the lock */
496: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
497:   if (PCMPIServerUseShmget) {
498:     PetscCallMPI(MPI_Reduce(&dummy1, &dummy2, 1, MPI_INT, MPI_SUM, 0, PC_MPI_COMM_WORLD));
499:     for (PetscMPIInt i = 1; i < PetscGlobalSize; i++) pthread_mutex_lock(&PCMPIServerLocks[i]);
500:   }
501: #endif
502:   PetscFunctionReturn(PETSC_SUCCESS);
503: }

505: /*@C
506:   PCMPIServerBegin - starts a server that runs on the `rank != 0` MPI processes waiting to process requests for
507:   parallel `KSP` solves and management of parallel `KSP` objects.

509:   Logically Collective on all MPI processes except rank 0

511:   Options Database Keys:
512: + -mpi_linear_solver_server                   - causes the PETSc program to start in MPI linear solver server mode where only the first MPI rank runs user code
513: . -mpi_linear_solver_server_view              - displays information about all the linear systems solved by the MPI linear solver server at the conclusion of the program
514: - -mpi_linear_solver_server_use_shared_memory - use shared memory when communicating matrices and vectors to server processes (default where supported)

516:   Level: developer

518:   Note:
519:   This is normally started automatically in `PetscInitialize()` when the option is provided

521:   See `PCMPI` for information on using the solver with a `KSP` object

523:   See `PetscShmgetAllocateArray()` for instructions on how to ensure the shared memory is available on your machine.

525:   Developer Notes:
526:   When called on MPI rank 0 this sets `PETSC_COMM_WORLD` to `PETSC_COMM_SELF` to allow a main program
527:   written with `PETSC_COMM_WORLD` to run correctly on the single rank while all the ranks
528:   (that would normally be sharing `PETSC_COMM_WORLD`) to run the solver server.

530:   Can this be integrated into the `PetscDevice` abstraction that is currently being developed?

532:   Conceivably `PCREDISTRIBUTE` could be organized in a similar manner to simplify its usage

534:   This could be implemented directly at the `KSP` level instead of using the `PCMPI` wrapper object

536:   The code could be extended to allow an MPI + OpenMP application to use the linear solver server concept across all shared-memory
537:   nodes with a single MPI process per node for the user application but multiple MPI processes per node for the linear solver.

539:   The concept could also be extended for users's callbacks for `SNES`, `TS`, and `Tao` where the `SNESSolve()` for example, runs on
540:   all MPI processes but the user callback only runs on one MPI process per node.

542:   PETSc could also be extended with an MPI-less API that provides access to PETSc's solvers without any reference to MPI, essentially remove
543:   the `MPI_Comm` argument from PETSc calls.

545: .seealso: [](sec_pcmpi), `PCMPIServerEnd()`, `PCMPI`, `KSPCheckPCMPI()`
546: @*/
547: PetscErrorCode PCMPIServerBegin(void)
548: {
549:   PetscMPIInt rank;

551:   PetscFunctionBegin;
552:   PetscCall(PetscInfo(NULL, "Starting MPI Linear Solver Server\n"));
553:   if (PetscDefined(USE_SINGLE_LIBRARY)) {
554:     PetscCall(VecInitializePackage());
555:     PetscCall(MatInitializePackage());
556:     PetscCall(DMInitializePackage());
557:     PetscCall(PCInitializePackage());
558:     PetscCall(KSPInitializePackage());
559:     PetscCall(SNESInitializePackage());
560:     PetscCall(TSInitializePackage());
561:     PetscCall(TaoInitializePackage());
562:   }
563:   PetscCall(PetscLogStageRegister("PCMPI", &PCMPIStage));
564:   PetscCall(PetscLogEventRegister("ServerDist", PC_CLASSID, &EventServerDist));
565:   PetscCall(PetscLogEventRegister("ServerDistMPI", PC_CLASSID, &EventServerDistMPI));

567:   if (!PetscDefined(HAVE_SHMGET)) PCMPIServerUseShmget = PETSC_FALSE;
568:   PetscCall(PetscOptionsGetBool(NULL, NULL, "-mpi_linear_solver_server_use_shared_memory", &PCMPIServerUseShmget, NULL));

570:   PetscCallMPI(MPI_Comm_rank(PC_MPI_COMM_WORLD, &rank));
571:   if (PCMPIServerUseShmget) {
572: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
573:     PetscMPIInt size;

575:     PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
576:     if (size > 1) {
577:       pthread_mutex_t *locks;

579:       if (rank == 0) {
580:         PCMPIServerActive = PETSC_TRUE;
581:         PetscCall(PetscShmgetAllocateArray(size, sizeof(pthread_mutex_t), (void **)&locks));
582:       }
583:       PetscCall(PetscShmgetMapAddresses(PETSC_COMM_WORLD, 1, (const void **)&locks, (void **)&PCMPIServerLocks));
584:       if (rank == 0) {
585:         pthread_mutexattr_t attr;

587:         pthread_mutexattr_init(&attr);
588:         pthread_mutexattr_setpshared(&attr, PTHREAD_PROCESS_SHARED);

590:         for (int i = 1; i < size; i++) {
591:           pthread_mutex_init(&PCMPIServerLocks[i], &attr);
592:           pthread_mutex_lock(&PCMPIServerLocks[i]);
593:         }
594:       }
595:       PetscCallMPI(MPI_Barrier(PETSC_COMM_WORLD));
596:     }
597: #endif
598:   }
599:   if (rank == 0) {
600:     PETSC_COMM_WORLD  = PETSC_COMM_SELF;
601:     PCMPIServerActive = PETSC_TRUE;
602:     PetscFunctionReturn(PETSC_SUCCESS);
603:   }

605:   while (PETSC_TRUE) {
606:     PCMPICommand request = PCMPI_CREATE;
607: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
608:     PetscMPIInt dummy1 = 1, dummy2;
609: #endif

611:     // TODO: can we broadcast the number of active ranks here so only the correct subset of processes waits on the later scatters?
612: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
613:     if (PCMPIServerUseShmget) pthread_mutex_lock(&PCMPIServerLocks[PetscGlobalRank]);
614: #endif
615:     PetscCallMPI(MPI_Bcast(&request, 1, MPIU_ENUM, 0, PC_MPI_COMM_WORLD));
616: #if defined(PETSC_HAVE_PTHREAD_MUTEX)
617:     if (PCMPIServerUseShmget) {
618:       /* next line ensures PetscGlobalRank has locked before rank 0 can take the lock back */
619:       PetscCallMPI(MPI_Reduce(&dummy1, &dummy2, 1, MPI_INT, MPI_SUM, 0, PC_MPI_COMM_WORLD));
620:       pthread_mutex_unlock(&PCMPIServerLocks[PetscGlobalRank]);
621:     }
622: #endif
623:     switch (request) {
624:     case PCMPI_CREATE:
625:       PetscCall(PCMPICreate(NULL));
626:       break;
627:     case PCMPI_SET_MAT:
628:       PetscCall(PCMPISetMat(NULL));
629:       break;
630:     case PCMPI_UPDATE_MAT_VALUES:
631:       PetscCall(PCMPIUpdateMatValues(NULL));
632:       break;
633:     case PCMPI_VIEW:
634:       // PetscCall(PCMPIView(NULL));
635:       break;
636:     case PCMPI_SOLVE:
637:       PetscCall(PCMPISolve(NULL, NULL, NULL));
638:       break;
639:     case PCMPI_DESTROY:
640:       PetscCall(PCMPIDestroy(NULL));
641:       break;
642:     case PCMPI_EXIT:
643:       if (PCMPIServerUseShmget) PetscCall(PetscShmgetUnmapAddresses(1, (void **)&PCMPIServerLocks));
644:       PetscCall(PetscFinalize());
645:       exit(0); /* not sure if this is a good idea, but cannot return because it will run users main program */
646:       break;
647:     default:
648:       break;
649:     }
650:   }
651:   PetscFunctionReturn(PETSC_SUCCESS);
652: }

654: /*@C
655:   PCMPIServerEnd - ends a server that runs on the rank != 0 MPI processes waiting to process requests for
656:   parallel KSP solves and management of parallel `KSP` objects.

658:   Logically Collective on all MPI ranks except 0

660:   Level: developer

662:   Note:
663:   This is normally called automatically in `PetscFinalize()`

665: .seealso: [](sec_pcmpi), `PCMPIServerBegin()`, `PCMPI`, `KSPCheckPCMPI()`
666: @*/
667: PetscErrorCode PCMPIServerEnd(void)
668: {
669:   PetscFunctionBegin;
670:   if (PetscGlobalRank == 0) {
671:     PetscViewer       viewer = NULL;
672:     PetscViewerFormat format;

674:     PetscCall(PetscShmgetAddressesFinalize());
675:     PetscCall(PCMPIServerBroadcastRequest(PCMPI_EXIT));
676:     if (PCMPIServerUseShmget) PetscCall(PetscShmgetUnmapAddresses(1, (void **)&PCMPIServerLocks));
677:     PETSC_COMM_WORLD = MPI_COMM_WORLD; /* could use PC_MPI_COMM_WORLD */
678:     PetscOptionsBegin(PETSC_COMM_SELF, NULL, "MPI linear solver server options", NULL);
679:     PetscCall(PetscOptionsViewer("-mpi_linear_solver_server_view", "View information about system solved with the server", "PCMPI", &viewer, &format, NULL));
680:     PetscOptionsEnd();
681:     if (viewer) {
682:       PetscBool isascii;

684:       PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
685:       if (isascii) {
686:         PetscMPIInt size;
687:         PetscMPIInt i;

689:         PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
690:         PetscCall(PetscViewerASCIIPrintf(viewer, "MPI linear solver server statistics:\n"));
691:         PetscCall(PetscViewerASCIIPrintf(viewer, "    Ranks        KSPSolve()s     Mats        KSPs       Avg. Size      Avg. Its\n"));
692:         if (PCMPIKSPCountsSeq) {
693:           PetscCall(PetscViewerASCIIPrintf(viewer, "  Sequential         %" PetscInt_FMT "                         %" PetscInt_FMT "            %" PetscInt_FMT "           %" PetscInt_FMT "\n", PCMPISolveCountsSeq, PCMPIKSPCountsSeq, PCMPISizesSeq / PCMPISolveCountsSeq, PCMPIIterationsSeq / PCMPISolveCountsSeq));
694:         }
695:         for (i = 0; i < size; i++) {
696:           if (PCMPIKSPCounts[i]) {
697:             PetscCall(PetscViewerASCIIPrintf(viewer, "     %d               %" PetscInt_FMT "            %" PetscInt_FMT "           %" PetscInt_FMT "            %" PetscInt_FMT "            %" PetscInt_FMT "\n", i + 1, PCMPISolveCounts[i], PCMPIMatCounts[i], PCMPIKSPCounts[i], PCMPISizes[i] / PCMPISolveCounts[i], PCMPIIterations[i] / PCMPISolveCounts[i]));
698:           }
699:         }
700:         PetscCall(PetscViewerASCIIPrintf(viewer, "MPI linear solver server %susing shared memory\n", PCMPIServerUseShmget ? "" : "not "));
701:       }
702:       PetscCall(PetscViewerDestroy(&viewer));
703:     }
704:   }
705:   PetscCall(PCMPICommsDestroy());
706:   PCMPIServerActive = PETSC_FALSE;
707:   PetscFunctionReturn(PETSC_SUCCESS);
708: }

710: /*
711:     This version is used in the trivial case when the MPI parallel solver server is running on just the original MPI rank 0
712:     because, for example, the problem is small. This version is more efficient because it does not require copying any data
713: */
714: static PetscErrorCode PCSetUp_Seq(PC pc)
715: {
716:   PC_MPI     *km = (PC_MPI *)pc->data;
717:   Mat         sA;
718:   const char *prefix;
719:   char       *found = NULL, *cprefix;

721:   PetscFunctionBegin;
722:   PCMPIServerInSolve = PETSC_TRUE;
723:   PetscCall(PCGetOperators(pc, NULL, &sA));
724:   PetscCall(PCGetOptionsPrefix(pc, &prefix));
725:   PetscCall(KSPCreate(PETSC_COMM_SELF, &km->ksps[0]));
726:   PetscCall(KSPSetNestLevel(km->ksps[0], 1));
727:   PetscCall(PetscObjectSetTabLevel((PetscObject)km->ksps[0], 1));

729:   /* Created KSP gets prefix of PC minus the mpi_linear_solver_server_ portion */
730:   PetscCall(PCGetOptionsPrefix(pc, &prefix));
731:   PetscCheck(prefix, PETSC_COMM_SELF, PETSC_ERR_PLIB, "PCMPI missing required prefix");
732:   PetscCall(PetscStrallocpy(prefix, &cprefix));
733:   PetscCall(PetscStrstr(cprefix, "mpi_linear_solver_server_", &found));
734:   PetscCheck(found, PETSC_COMM_SELF, PETSC_ERR_PLIB, "PCMPI missing mpi_linear_solver_server_ portion of prefix");
735:   *found = 0;
736:   PetscCall(KSPSetOptionsPrefix(km->ksps[0], cprefix));
737:   PetscCall(PetscFree(cprefix));

739:   PetscCall(KSPSetOperators(km->ksps[0], sA, sA));
740:   PetscCall(KSPSetFromOptions(km->ksps[0]));
741:   PetscCall(KSPSetUp(km->ksps[0]));
742:   PetscCall(PetscInfo(pc, "MPI parallel linear solver system is being solved directly on rank 0 due to its small size\n"));
743:   PCMPIKSPCountsSeq++;
744:   PCMPIServerInSolve = PETSC_FALSE;
745:   PetscFunctionReturn(PETSC_SUCCESS);
746: }

748: static PetscErrorCode PCApply_Seq(PC pc, Vec b, Vec x)
749: {
750:   PC_MPI  *km = (PC_MPI *)pc->data;
751:   PetscInt its, n;
752:   Mat      A;

754:   PetscFunctionBegin;
755:   PCMPIServerInSolve = PETSC_TRUE;
756:   PetscCall(KSPSolve(km->ksps[0], b, x));
757:   PetscCall(KSPGetIterationNumber(km->ksps[0], &its));
758:   PCMPISolveCountsSeq++;
759:   PCMPIIterationsSeq += its;
760:   PetscCall(KSPGetOperators(km->ksps[0], NULL, &A));
761:   PetscCall(MatGetSize(A, &n, NULL));
762:   PCMPISizesSeq += n;
763:   PCMPIServerInSolve = PETSC_FALSE;
764:   /*
765:     do not keep reference to previous rhs and solution since destroying them in the next KSPSolve()
766:     my use PetscFree() instead of PCMPIArrayDeallocate()
767:   */
768:   PetscCall(VecDestroy(&km->ksps[0]->vec_rhs));
769:   PetscCall(VecDestroy(&km->ksps[0]->vec_sol));
770:   PetscFunctionReturn(PETSC_SUCCESS);
771: }

773: static PetscErrorCode PCView_Seq(PC pc, PetscViewer viewer)
774: {
775:   PC_MPI *km = (PC_MPI *)pc->data;

777:   PetscFunctionBegin;
778:   PetscCall(PetscViewerASCIIPrintf(viewer, "Running MPI linear solver server directly on rank 0 due to its small size\n"));
779:   PetscCall(PetscViewerASCIIPrintf(viewer, "Desired minimum number of nonzeros per rank for MPI parallel solve %" PetscInt_FMT "\n", km->mincntperrank));
780:   PetscCall(PetscViewerASCIIPrintf(viewer, "*** Use -mpi_linear_solver_server_view to statistics on all the solves ***\n"));
781:   PetscFunctionReturn(PETSC_SUCCESS);
782: }

784: static PetscErrorCode PCDestroy_Seq(PC pc)
785: {
786:   PC_MPI *km = (PC_MPI *)pc->data;
787:   Mat     A, B;
788:   Vec     x, b;

790:   PetscFunctionBegin;
791:   PCMPIServerInSolve = PETSC_TRUE;
792:   /* since matrices and vectors are shared with outer KSP we need to ensure they are not destroyed with PetscFree() */
793:   PetscCall(KSPGetOperators(km->ksps[0], &A, &B));
794:   PetscCall(PetscObjectReference((PetscObject)A));
795:   PetscCall(PetscObjectReference((PetscObject)B));
796:   PetscCall(KSPGetSolution(km->ksps[0], &x));
797:   PetscCall(PetscObjectReference((PetscObject)x));
798:   PetscCall(KSPGetRhs(km->ksps[0], &b));
799:   PetscCall(PetscObjectReference((PetscObject)b));
800:   PetscCall(KSPDestroy(&km->ksps[0]));
801:   PetscCall(PetscFree(pc->data));
802:   PCMPIServerInSolve = PETSC_FALSE;
803:   PetscCall(MatDestroy(&A));
804:   PetscCall(MatDestroy(&B));
805:   PetscCall(VecDestroy(&x));
806:   PetscCall(VecDestroy(&b));
807:   PetscFunctionReturn(PETSC_SUCCESS);
808: }

810: /*
811:      PCSetUp_MPI - Trigger the creation of the MPI parallel PC and copy parts of the matrix and
812:      right-hand side to the parallel PC
813: */
814: static PetscErrorCode PCSetUp_MPI(PC pc)
815: {
816:   PC_MPI     *km = (PC_MPI *)pc->data;
817:   PetscMPIInt rank, size;
818:   PetscBool   newmatrix = PETSC_FALSE;

820:   PetscFunctionBegin;
821:   PetscCallMPI(MPI_Comm_rank(MPI_COMM_WORLD, &rank));
822:   PetscCheck(rank == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "PCMPI can only be used from 0th rank of MPI_COMM_WORLD. Perhaps a missing -mpi_linear_solver_server?");
823:   PetscCallMPI(MPI_Comm_size(MPI_COMM_WORLD, &size));

825:   if (!pc->setupcalled) {
826:     if (!km->alwaysuseserver) {
827:       PetscInt n;
828:       Mat      sA;
829:       /* short circuit for small systems */
830:       PetscCall(PCGetOperators(pc, &sA, &sA));
831:       PetscCall(MatGetSize(sA, &n, NULL));
832:       if (n < 2 * km->mincntperrank - 1 || size == 1) {
833:         pc->ops->setup   = NULL;
834:         pc->ops->apply   = PCApply_Seq;
835:         pc->ops->destroy = PCDestroy_Seq;
836:         pc->ops->view    = PCView_Seq;
837:         PetscCall(PCSetUp_Seq(pc));
838:         PetscFunctionReturn(PETSC_SUCCESS);
839:       }
840:     }

842:     PetscCall(PCMPIServerBroadcastRequest(PCMPI_CREATE));
843:     PetscCall(PCMPICreate(pc));
844:     newmatrix = PETSC_TRUE;
845:   }
846:   if (pc->flag == DIFFERENT_NONZERO_PATTERN) newmatrix = PETSC_TRUE;

848:   if (newmatrix) {
849:     PetscCall(PetscInfo(pc, "New matrix or matrix has changed nonzero structure\n"));
850:     PetscCall(PCMPIServerBroadcastRequest(PCMPI_SET_MAT));
851:     PetscCall(PCMPISetMat(pc));
852:   } else {
853:     PetscCall(PetscInfo(pc, "Matrix has only changed nonzero values\n"));
854:     PetscCall(PCMPIServerBroadcastRequest(PCMPI_UPDATE_MAT_VALUES));
855:     PetscCall(PCMPIUpdateMatValues(pc));
856:   }
857:   PetscFunctionReturn(PETSC_SUCCESS);
858: }

860: static PetscErrorCode PCApply_MPI(PC pc, Vec b, Vec x)
861: {
862:   PetscFunctionBegin;
863:   PetscCall(PCMPIServerBroadcastRequest(PCMPI_SOLVE));
864:   PetscCall(PCMPISolve(pc, b, x));
865:   PetscFunctionReturn(PETSC_SUCCESS);
866: }

868: static PetscErrorCode PCDestroy_MPI(PC pc)
869: {
870:   PetscFunctionBegin;
871:   PetscCall(PCMPIServerBroadcastRequest(PCMPI_DESTROY));
872:   PetscCall(PCMPIDestroy(pc));
873:   PetscCall(PetscFree(pc->data));
874:   PetscFunctionReturn(PETSC_SUCCESS);
875: }

877: /*
878:      PCView_MPI - Cannot call view on the MPI parallel KSP because other ranks do not have access to the viewer, use options database
879: */
880: static PetscErrorCode PCView_MPI(PC pc, PetscViewer viewer)
881: {
882:   PC_MPI     *km = (PC_MPI *)pc->data;
883:   MPI_Comm    comm;
884:   PetscMPIInt size;

886:   PetscFunctionBegin;
887:   PetscCall(PetscObjectGetComm((PetscObject)km->ksps[0], &comm));
888:   PetscCallMPI(MPI_Comm_size(comm, &size));
889:   PetscCall(PetscViewerASCIIPrintf(viewer, "Size of MPI communicator used for MPI parallel KSP solve %d\n", size));
890:   PetscCall(PetscViewerASCIIPrintf(viewer, "Desired minimum number of matrix rows on each MPI process for MPI parallel solve %" PetscInt_FMT "\n", km->mincntperrank));
891:   PetscCall(PetscViewerASCIIPrintf(viewer, "*** Use -mpi_linear_solver_server_view to view statistics on all the solves ***\n"));
892:   PetscFunctionReturn(PETSC_SUCCESS);
893: }

895: static PetscErrorCode PCSetFromOptions_MPI(PC pc, PetscOptionItems PetscOptionsObject)
896: {
897:   PC_MPI *km = (PC_MPI *)pc->data;

899:   PetscFunctionBegin;
900:   PetscOptionsHeadBegin(PetscOptionsObject, "MPI linear solver server options");
901:   PetscCall(PetscOptionsInt("-minimum_count_per_rank", "Desired minimum number of nonzeros per rank", "None", km->mincntperrank, &km->mincntperrank, NULL));
902:   PetscCall(PetscOptionsBool("-always_use_server", "Use the server even if only one rank is used for the solve (for debugging)", "None", km->alwaysuseserver, &km->alwaysuseserver, NULL));
903:   PetscOptionsHeadEnd();
904:   PetscFunctionReturn(PETSC_SUCCESS);
905: }

907: /*MC
908:      PCMPI - Calls an MPI parallel `KSP` to solve a linear system from user code running on one process

910:    Options Database Keys for the Server:
911: +  -mpi_linear_solver_server - causes the PETSc program to start in MPI linear solver server mode where only the first MPI rank runs user code
912: .  -mpi_linear_solver_server_view - displays information about all the linear systems solved by the MPI linear solver server
913: -  -mpi_linear_solver_server_use_shared_memory <true, false> - use shared memory to distribute matrix and right hand side, defaults to true

915:    Options Database Keys for a specific `KSP` object
916: +  -[any_ksp_prefix]_mpi_linear_solver_server_minimum_count_per_rank - sets the minimum size of the linear system per MPI rank that the solver will strive for
917: -  -[any_ksp_prefix]_mpi_linear_solver_server_always_use_server - use the server solver code even if the particular system is only solved on the process (for debugging and testing purposes)

919:    Level: developer

921:    Notes:
922:    This cannot be used with vectors or matrices that are created using arrays provided by the user, such as `VecCreateWithArray()` or
923:    `MatCreateSeqAIJWithArrays()`

925:    The options database prefix for the actual solver is any prefix provided before use to the original `KSP` with `KSPSetOptionsPrefix()`, mostly commonly no prefix is used.

927:    It can be particularly useful for user OpenMP code or potentially user GPU code.

929:    When the program is running with a single MPI process then it directly uses the provided matrix and right-hand side
930:    and does not need to distribute the matrix and vector to the various MPI processes; thus it incurs no extra overhead over just using the `KSP` directly.

932:    The solver options for actual solving `KSP` and `PC` must be controlled via the options database, calls to set options directly on the user level `KSP` and `PC` have no effect
933:    because they are not the actual solver objects.

935:    When `-log_view` is used with this solver the events within the parallel solve are logging in their own stage. Some of the logging in the other
936:    stages will be confusing since the event times are only recorded on the 0th MPI rank, thus the percent of time in the events will be misleading.

938:    Developer Note:
939:    This `PCType` is never directly selected by the user, it is set when the option `-mpi_linear_solver_server` is used and the `PC` is at the outer most nesting of
940:    a `KSP`. The outer most `KSP` object is automatically set to `KSPPREONLY` and thus is not directly visible to the user.

942: .seealso: [](sec_pcmpi), `KSPCreate()`, `KSPSetType()`, `KSPType`, `KSP`, `PC`, `PCMPIServerBegin()`, `PCMPIServerEnd()`, `KSPCheckPCMPI()`
943: M*/
944: PETSC_EXTERN PetscErrorCode PCCreate_MPI(PC pc)
945: {
946:   PC_MPI *km;
947:   char   *found = NULL;

949:   PetscFunctionBegin;
950:   PetscCall(PetscStrstr(((PetscObject)pc)->prefix, "mpi_linear_solver_server_", &found));
951:   PetscCheck(found, PETSC_COMM_SELF, PETSC_ERR_PLIB, "PCMPI object prefix does not have mpi_linear_solver_server_");

953:   /* material from PCSetType() */
954:   PetscTryTypeMethod(pc, destroy);
955:   pc->ops->destroy = NULL;
956:   pc->data         = NULL;

958:   PetscCall(PetscFunctionListDestroy(&((PetscObject)pc)->qlist));
959:   PetscCall(PetscMemzero(pc->ops, sizeof(struct _PCOps)));
960:   pc->modifysubmatrices  = NULL;
961:   pc->modifysubmatricesP = NULL;
962:   pc->setupcalled        = 0;

964:   PetscCall(PetscNew(&km));
965:   pc->data = (void *)km;

967:   km->mincntperrank = 10000;

969:   pc->ops->setup          = PCSetUp_MPI;
970:   pc->ops->apply          = PCApply_MPI;
971:   pc->ops->destroy        = PCDestroy_MPI;
972:   pc->ops->view           = PCView_MPI;
973:   pc->ops->setfromoptions = PCSetFromOptions_MPI;
974:   PetscCall(PetscObjectChangeTypeName((PetscObject)pc, PCMPI));
975:   PetscFunctionReturn(PETSC_SUCCESS);
976: }

978: /*@
979:   PCMPIGetKSP - Gets the `KSP` created by the `PCMPI`

981:   Not Collective

983:   Input Parameter:
984: . pc - the preconditioner context

986:   Output Parameter:
987: . innerksp - the inner `KSP`

989:   Level: advanced

991: .seealso: [](ch_ksp), `KSP`, `PCMPI`, `PCREDISTRIBUTE`
992: @*/
993: PetscErrorCode PCMPIGetKSP(PC pc, KSP *innerksp)
994: {
995:   PC_MPI *red = (PC_MPI *)pc->data;

997:   PetscFunctionBegin;
999:   PetscAssertPointer(innerksp, 2);
1000:   *innerksp = red->ksps[0];
1001:   PetscFunctionReturn(PETSC_SUCCESS);
1002: }