Actual source code: precon.c

  1: /*
  2:     The PC (preconditioner) interface routines, callable by users.
  3: */
  4: #include <petsc/private/pcimpl.h>
  5: #include <petscdm.h>

  7: /* Logging support */
  8: PetscClassId  PC_CLASSID;
  9: PetscLogEvent PC_SetUp, PC_SetUpOnBlocks, PC_Apply, PC_MatApply, PC_ApplyCoarse, PC_ApplySymmetricLeft;
 10: PetscLogEvent PC_ApplySymmetricRight, PC_ModifySubMatrices, PC_ApplyOnBlocks, PC_ApplyTransposeOnBlocks;
 11: PetscInt      PetscMGLevelId;
 12: PetscLogStage PCMPIStage;

 14: PETSC_INTERN PetscErrorCode PCGetDefaultType_Private(PC pc, const char *type[])
 15: {
 16:   PetscMPIInt size;
 17:   PetscBool   hasopblock, hasopsolve, flg1, flg2, set, flg3, isnormal;

 19:   PetscFunctionBegin;
 20:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc), &size));
 21:   if (pc->pmat) {
 22:     PetscCall(MatHasOperation(pc->pmat, MATOP_GET_DIAGONAL_BLOCK, &hasopblock));
 23:     PetscCall(MatHasOperation(pc->pmat, MATOP_SOLVE, &hasopsolve));
 24:     if (size == 1) {
 25:       PetscCall(MatGetFactorAvailable(pc->pmat, "petsc", MAT_FACTOR_ICC, &flg1));
 26:       PetscCall(MatGetFactorAvailable(pc->pmat, "petsc", MAT_FACTOR_ILU, &flg2));
 27:       PetscCall(MatIsSymmetricKnown(pc->pmat, &set, &flg3));
 28:       PetscCall(PetscObjectTypeCompareAny((PetscObject)pc->pmat, &isnormal, MATNORMAL, MATNORMALHERMITIAN, NULL));
 29:       if (flg1 && (!flg2 || (set && flg3))) {
 30:         *type = PCICC;
 31:       } else if (flg2) {
 32:         *type = PCILU;
 33:       } else if (isnormal) {
 34:         *type = PCNONE;
 35:       } else if (hasopblock) { /* likely is a parallel matrix run on one processor */
 36:         if (pc->kspnestlevel > 0) {
 37:           Mat D;

 39:           PetscCall(MatGetDiagonalBlock(pc->pmat, &D));
 40:           PetscCall(PetscObjectTypeCompare((PetscObject)D, ((PetscObject)pc->pmat)->type_name, &flg1)); /* make sure there is no recursive call to PCGetDefaultType_Private() */
 41:         } else flg1 = PETSC_FALSE;
 42:         if (!flg1) *type = PCBJACOBI;
 43:         else *type = PCNONE;
 44:       } else if (hasopsolve) {
 45:         *type = PCMAT;
 46:       } else {
 47:         *type = PCNONE;
 48:       }
 49:     } else {
 50:       if (hasopblock) {
 51:         *type = PCBJACOBI;
 52:       } else if (hasopsolve) {
 53:         *type = PCMAT;
 54:       } else {
 55:         *type = PCNONE;
 56:       }
 57:     }
 58:   } else *type = NULL;
 59:   PetscFunctionReturn(PETSC_SUCCESS);
 60: }

 62: /* do not log solves, setup and applications of preconditioners while constructing preconditioners; perhaps they should be logged separately from the regular solves */
 63: PETSC_EXTERN PetscLogEvent KSP_Solve, KSP_SetUp;

 65: static PetscErrorCode PCLogEventsDeactivatePush(void)
 66: {
 67:   PetscFunctionBegin;
 68:   PetscCall(KSPInitializePackage());
 69:   PetscCall(PetscLogEventDeactivatePush(KSP_Solve));
 70:   PetscCall(PetscLogEventDeactivatePush(KSP_SetUp));
 71:   PetscCall(PetscLogEventDeactivatePush(PC_Apply));
 72:   PetscCall(PetscLogEventDeactivatePush(PC_SetUp));
 73:   PetscCall(PetscLogEventDeactivatePush(PC_SetUpOnBlocks));
 74:   PetscFunctionReturn(PETSC_SUCCESS);
 75: }

 77: static PetscErrorCode PCLogEventsDeactivatePop(void)
 78: {
 79:   PetscFunctionBegin;
 80:   PetscCall(KSPInitializePackage());
 81:   PetscCall(PetscLogEventDeactivatePop(KSP_Solve));
 82:   PetscCall(PetscLogEventDeactivatePop(KSP_SetUp));
 83:   PetscCall(PetscLogEventDeactivatePop(PC_Apply));
 84:   PetscCall(PetscLogEventDeactivatePop(PC_SetUp));
 85:   PetscCall(PetscLogEventDeactivatePop(PC_SetUpOnBlocks));
 86:   PetscFunctionReturn(PETSC_SUCCESS);
 87: }

 89: /*@
 90:   PCReset - Resets a `PC` context to the state it was in before `PCSetUp()` was called, and removes any allocated `Vec` and `Mat` from its data structure

 92:   Collective

 94:   Input Parameter:
 95: . pc - the `PC` preconditioner context

 97:   Level: developer

 99:   Notes:
100:   Any options set, including those set with `KSPSetFromOptions()` remain.

102:   This allows a `PC` to be reused for a different sized linear system but using the same options that have been previously set in `pc`

104: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCSetUp()`
105: @*/
106: PetscErrorCode PCReset(PC pc)
107: {
108:   PetscFunctionBegin;
110:   PetscTryTypeMethod(pc, reset);
111:   PetscCall(VecDestroy(&pc->diagonalscaleright));
112:   PetscCall(VecDestroy(&pc->diagonalscaleleft));
113:   PetscCall(MatDestroy(&pc->pmat));
114:   PetscCall(MatDestroy(&pc->mat));

116:   pc->setupcalled = PETSC_FALSE;
117:   PetscFunctionReturn(PETSC_SUCCESS);
118: }

120: /*@
121:   PCDestroy - Destroys `PC` context that was created with `PCCreate()`.

123:   Collective

125:   Input Parameter:
126: . pc - the `PC` preconditioner context

128:   Level: developer

130: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCSetUp()`
131: @*/
132: PetscErrorCode PCDestroy(PC *pc)
133: {
134:   PetscFunctionBegin;
135:   if (!*pc) PetscFunctionReturn(PETSC_SUCCESS);
137:   if (--((PetscObject)*pc)->refct > 0) {
138:     *pc = NULL;
139:     PetscFunctionReturn(PETSC_SUCCESS);
140:   }

142:   PetscCall(PCReset(*pc));

144:   /* if memory was published with SAWs then destroy it */
145:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*pc));
146:   PetscTryTypeMethod(*pc, destroy);
147:   PetscCall(DMDestroy(&(*pc)->dm));
148:   PetscCall(PetscHeaderDestroy(pc));
149:   PetscFunctionReturn(PETSC_SUCCESS);
150: }

152: /*@
153:   PCGetDiagonalScale - Indicates if the preconditioner applies an additional left and right
154:   scaling as needed by certain time-stepping codes.

156:   Logically Collective

158:   Input Parameter:
159: . pc - the `PC` preconditioner context

161:   Output Parameter:
162: . flag - `PETSC_TRUE` if it applies the scaling

164:   Level: developer

166:   Note:
167:   If this returns `PETSC_TRUE` then the system solved via the Krylov method is, for left and right preconditioning,

169:   $$
170:   \begin{align*}
171:   D M A D^{-1} y = D M b  \\
172:   D A M D^{-1} z = D b.
173:   \end{align*}
174:   $$

176: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCSetUp()`, `PCDiagonalScaleLeft()`, `PCDiagonalScaleRight()`, `PCSetDiagonalScale()`
177: @*/
178: PetscErrorCode PCGetDiagonalScale(PC pc, PetscBool *flag)
179: {
180:   PetscFunctionBegin;
182:   PetscAssertPointer(flag, 2);
183:   *flag = pc->diagonalscale;
184:   PetscFunctionReturn(PETSC_SUCCESS);
185: }

187: /*@
188:   PCSetDiagonalScale - Indicates the left scaling to use to apply an additional left and right
189:   scaling as needed by certain time-stepping codes.

191:   Logically Collective

193:   Input Parameters:
194: + pc - the `PC` preconditioner context
195: - s  - scaling vector

197:   Level: intermediate

199:   Notes:
200:   The system solved via the Krylov method is, for left and right preconditioning,
201:   $$
202:   \begin{align*}
203:   D M A D^{-1} y = D M b \\
204:   D A M D^{-1} z = D b.
205:   \end{align*}
206:   $$

208:   `PCDiagonalScaleLeft()` scales a vector by $D$. `PCDiagonalScaleRight()` scales a vector by $D^{-1}$.

210: .seealso: [](ch_ksp), `PCCreate()`, `PCSetUp()`, `PCDiagonalScaleLeft()`, `PCDiagonalScaleRight()`, `PCGetDiagonalScale()`
211: @*/
212: PetscErrorCode PCSetDiagonalScale(PC pc, Vec s)
213: {
214:   PetscFunctionBegin;
217:   pc->diagonalscale = PETSC_TRUE;

219:   PetscCall(PetscObjectReference((PetscObject)s));
220:   PetscCall(VecDestroy(&pc->diagonalscaleleft));

222:   pc->diagonalscaleleft = s;

224:   PetscCall(VecDuplicate(s, &pc->diagonalscaleright));
225:   PetscCall(VecCopy(s, pc->diagonalscaleright));
226:   PetscCall(VecReciprocal(pc->diagonalscaleright));
227:   PetscFunctionReturn(PETSC_SUCCESS);
228: }

230: /*@
231:   PCDiagonalScaleLeft - Scales a vector by the left scaling as needed by certain time-stepping codes.

233:   Logically Collective

235:   Input Parameters:
236: + pc  - the `PC` preconditioner context
237: . in  - input vector
238: - out - scaled vector (maybe the same as in)

240:   Level: intermediate

242:   Notes:
243:   The system solved via the Krylov method is, for left and right preconditioning,

245:   $$
246:   \begin{align*}
247:   D M A D^{-1} y = D M b  \\
248:   D A M D^{-1} z = D b.
249:   \end{align*}
250:   $$

252:   `PCDiagonalScaleLeft()` scales a vector by $D$. `PCDiagonalScaleRight()` scales a vector by $D^{-1}$.

254:   If diagonal scaling is turned off and `in` is not `out` then `in` is copied to `out`

256: .seealso: [](ch_ksp), `PCCreate()`, `PCSetUp()`, `PCSetDiagonalScale()`, `PCDiagonalScaleRight()`, `MatDiagonalScale()`
257: @*/
258: PetscErrorCode PCDiagonalScaleLeft(PC pc, Vec in, Vec out)
259: {
260:   PetscFunctionBegin;
264:   if (pc->diagonalscale) PetscCall(VecPointwiseMult(out, pc->diagonalscaleleft, in));
265:   else if (in != out) PetscCall(VecCopy(in, out));
266:   PetscFunctionReturn(PETSC_SUCCESS);
267: }

269: /*@
270:   PCDiagonalScaleRight - Scales a vector by the right scaling as needed by certain time-stepping codes.

272:   Logically Collective

274:   Input Parameters:
275: + pc  - the `PC` preconditioner context
276: . in  - input vector
277: - out - scaled vector (maybe the same as in)

279:   Level: intermediate

281:   Notes:
282:   The system solved via the Krylov method is, for left and right preconditioning,

284:   $$
285:   \begin{align*}
286:   D M A D^{-1} y = D M b  \\
287:   D A M D^{-1} z = D b.
288:   \end{align*}
289:   $$

291:   `PCDiagonalScaleLeft()` scales a vector by $D$. `PCDiagonalScaleRight()` scales a vector by $D^{-1}$.

293:   If diagonal scaling is turned off and `in` is not `out` then `in` is copied to `out`

295: .seealso: [](ch_ksp), `PCCreate()`, `PCSetUp()`, `PCDiagonalScaleLeft()`, `PCSetDiagonalScale()`, `MatDiagonalScale()`
296: @*/
297: PetscErrorCode PCDiagonalScaleRight(PC pc, Vec in, Vec out)
298: {
299:   PetscFunctionBegin;
303:   if (pc->diagonalscale) {
304:     PetscCall(VecPointwiseMult(out, pc->diagonalscaleright, in));
305:   } else if (in != out) {
306:     PetscCall(VecCopy(in, out));
307:   }
308:   PetscFunctionReturn(PETSC_SUCCESS);
309: }

311: /*@
312:   PCSetUseAmat - Sets a flag to indicate that when the preconditioner needs to apply (part of) the
313:   operator during the preconditioning process it applies the Amat provided to `TSSetRHSJacobian()`,
314:   `TSSetIJacobian()`, `SNESSetJacobian()`, `KSPSetOperators()` or `PCSetOperators()` not the Pmat.

316:   Logically Collective

318:   Input Parameters:
319: + pc  - the `PC` preconditioner context
320: - flg - `PETSC_TRUE` to use the Amat, `PETSC_FALSE` to use the Pmat (default is false)

322:   Options Database Key:
323: . -pc_use_amat (true|false) - use the amat argument to `KSPSetOperators()` or `PCSetOperators()` to apply the operator

325:   Level: intermediate

327:   Note:
328:   For the common case in which the linear system matrix and the matrix used to construct the
329:   preconditioner are identical, this routine has no affect.

331: .seealso: [](ch_ksp), `PC`, `PCGetUseAmat()`, `PCBJACOBI`, `PCMG`, `PCFIELDSPLIT`, `PCCOMPOSITE`,
332:           `KSPSetOperators()`, `PCSetOperators()`
333: @*/
334: PetscErrorCode PCSetUseAmat(PC pc, PetscBool flg)
335: {
336:   PetscFunctionBegin;
338:   pc->useAmat = flg;
339:   PetscFunctionReturn(PETSC_SUCCESS);
340: }

342: /*@
343:   PCSetErrorIfFailure - Causes `PC` to generate an error if a floating point exception, for example a zero pivot, is detected.

345:   Logically Collective

347:   Input Parameters:
348: + pc  - iterative context obtained from `PCCreate()`
349: - flg - `PETSC_TRUE` indicates you want the error generated

351:   Level: advanced

353:   Notes:
354:   Normally PETSc continues if a linear solver fails due to a failed setup of a preconditioner, you can call `KSPGetConvergedReason()` after a `KSPSolve()`
355:   to determine if it has converged or failed. Or use -ksp_error_if_not_converged to cause the program to terminate as soon as lack of convergence is
356:   detected.

358:   This is propagated into `KSP`s used by this `PC`, which then propagate it into `PC`s used by those `KSP`s

360: .seealso: [](ch_ksp), `PC`, `KSPSetErrorIfNotConverged()`, `PCGetInitialGuessNonzero()`, `PCSetInitialGuessKnoll()`, `PCGetInitialGuessKnoll()`
361: @*/
362: PetscErrorCode PCSetErrorIfFailure(PC pc, PetscBool flg)
363: {
364:   PetscFunctionBegin;
367:   pc->erroriffailure = flg;
368:   PetscFunctionReturn(PETSC_SUCCESS);
369: }

371: /*@
372:   PCGetUseAmat - Gets a flag to indicate that when the preconditioner needs to apply (part of) the
373:   operator during the preconditioning process it applies the Amat provided to `TSSetRHSJacobian()`,
374:   `TSSetIJacobian()`, `SNESSetJacobian()`, `KSPSetOperators()` or `PCSetOperators()` not the Pmat.

376:   Logically Collective

378:   Input Parameter:
379: . pc - the `PC` preconditioner context

381:   Output Parameter:
382: . flg - `PETSC_TRUE` to use the Amat, `PETSC_FALSE` to use the Pmat (default is false)

384:   Level: intermediate

386:   Note:
387:   For the common case in which the linear system matrix and the matrix used to construct the
388:   preconditioner are identical, this routine is does nothing.

390: .seealso: [](ch_ksp), `PC`, `PCSetUseAmat()`, `PCBJACOBI`, `PCMG`, `PCFIELDSPLIT`, `PCCOMPOSITE`
391: @*/
392: PetscErrorCode PCGetUseAmat(PC pc, PetscBool *flg)
393: {
394:   PetscFunctionBegin;
396:   *flg = pc->useAmat;
397:   PetscFunctionReturn(PETSC_SUCCESS);
398: }

400: /*@
401:   PCSetKSPNestLevel - sets the amount of nesting the `KSP` that contains this `PC` has

403:   Collective

405:   Input Parameters:
406: + pc    - the `PC`
407: - level - the nest level

409:   Level: developer

411: .seealso: [](ch_ksp), `KSPSetUp()`, `KSPSolve()`, `KSPDestroy()`, `KSP`, `KSPGMRES`, `KSPType`, `KSPGetNestLevel()`, `PCGetKSPNestLevel()`, `KSPSetNestLevel()`
412: @*/
413: PetscErrorCode PCSetKSPNestLevel(PC pc, PetscInt level)
414: {
415:   PetscFunctionBegin;
418:   pc->kspnestlevel = level;
419:   PetscFunctionReturn(PETSC_SUCCESS);
420: }

422: /*@
423:   PCGetKSPNestLevel - gets the amount of nesting the `KSP` that contains this `PC` has

425:   Not Collective

427:   Input Parameter:
428: . pc - the `PC`

430:   Output Parameter:
431: . level - the nest level

433:   Level: developer

435: .seealso: [](ch_ksp), `KSPSetUp()`, `KSPSolve()`, `KSPDestroy()`, `KSP`, `KSPGMRES`, `KSPType`, `KSPSetNestLevel()`, `PCSetKSPNestLevel()`, `KSPGetNestLevel()`
436: @*/
437: PetscErrorCode PCGetKSPNestLevel(PC pc, PetscInt *level)
438: {
439:   PetscFunctionBegin;
441:   PetscAssertPointer(level, 2);
442:   *level = pc->kspnestlevel;
443:   PetscFunctionReturn(PETSC_SUCCESS);
444: }

446: /*@
447:   PCCreate - Creates a preconditioner context, `PC`

449:   Collective

451:   Input Parameter:
452: . comm - MPI communicator

454:   Output Parameter:
455: . newpc - location to put the `PC` preconditioner context

457:   Level: developer

459:   Notes:
460:   This is rarely called directly by users since `KSP` manages the `PC` objects it uses. Use `KSPGetPC()` to access the `PC` used by a `KSP`.

462:   Use `PCSetType()` or `PCSetFromOptions()` with the option `-pc_type pctype` to set the `PCType` for this `PC`

464:   The default preconditioner type `PCType` for sparse matrices is `PCILU` or `PCICC` with 0 fill on one process and block Jacobi (`PCBJACOBI`) with `PCILU` or `PCICC`
465:   in parallel. For dense matrices it is always `PCNONE`.

467: .seealso: [](ch_ksp), `PC`, `PCType`, `PCSetType`, `PCSetUp()`, `PCApply()`, `PCDestroy()`, `KSP`, `KSPGetPC()`
468: @*/
469: PetscErrorCode PCCreate(MPI_Comm comm, PC *newpc)
470: {
471:   PC pc;

473:   PetscFunctionBegin;
474:   PetscAssertPointer(newpc, 2);
475:   PetscCall(PCInitializePackage());

477:   PetscCall(PetscHeaderCreate(pc, PC_CLASSID, "PC", "Preconditioner", "PC", comm, PCDestroy, PCView));
478:   pc->mat                  = NULL;
479:   pc->pmat                 = NULL;
480:   pc->setupcalled          = PETSC_FALSE;
481:   pc->setfromoptionscalled = 0;
482:   pc->data                 = NULL;
483:   pc->diagonalscale        = PETSC_FALSE;
484:   pc->diagonalscaleleft    = NULL;
485:   pc->diagonalscaleright   = NULL;

487:   pc->modifysubmatrices  = NULL;
488:   pc->modifysubmatricesP = NULL;

490:   *newpc = pc;
491:   PetscFunctionReturn(PETSC_SUCCESS);
492: }

494: /*@
495:   PCApply - Applies the preconditioner to a vector.

497:   Collective

499:   Input Parameters:
500: + pc - the `PC` preconditioner context
501: - x  - input vector

503:   Output Parameter:
504: . y - output vector

506:   Level: developer

508: .seealso: [](ch_ksp), `PC`, `PCApplyTranspose()`, `PCApplyBAorAB()`
509: @*/
510: PetscErrorCode PCApply(PC pc, Vec x, Vec y)
511: {
512:   PetscInt m, n, mv, nv;

514:   PetscFunctionBegin;
518:   PetscCheck(x != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "x and y must be different vectors");
519:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));
520:   /* use pmat to check vector sizes since for KSPLSQR the pmat may be of a different size than mat */
521:   PetscCall(MatGetLocalSize(pc->pmat, &m, &n));
522:   PetscCall(VecGetLocalSize(x, &mv));
523:   PetscCall(VecGetLocalSize(y, &nv));
524:   /* check pmat * y = x is feasible */
525:   PetscCheck(mv == m, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Preconditioner number of local rows %" PetscInt_FMT " does not equal input vector size %" PetscInt_FMT, m, mv);
526:   PetscCheck(nv == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Preconditioner number of local columns %" PetscInt_FMT " does not equal output vector size %" PetscInt_FMT, n, nv);
527:   PetscCall(VecSetErrorIfLocked(y, 3));

529:   PetscCall(PCSetUp(pc));
530:   PetscCall(VecLockReadPush(x));
531:   PetscCall(PetscLogEventBegin(PC_Apply, pc, x, y, 0));
532:   PetscUseTypeMethod(pc, apply, x, y);
533:   PetscCall(PetscLogEventEnd(PC_Apply, pc, x, y, 0));
534:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 3, PETSC_FALSE));
535:   PetscCall(VecLockReadPop(x));
536:   PetscFunctionReturn(PETSC_SUCCESS);
537: }

539: static PetscErrorCode PCMatApplyTranspose_Private(PC pc, Mat X, Mat Y, PetscBool transpose)
540: {
541:   Mat       A;
542:   Vec       cy, cx;
543:   PetscInt  m1, M1, m2, M2, n1, N1, n2, N2, m3, M3, n3, N3;
544:   PetscBool match;

546:   PetscFunctionBegin;
550:   PetscCheckSameComm(pc, 1, X, 2);
551:   PetscCheckSameComm(pc, 1, Y, 3);
552:   PetscCheck(Y != X, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "Y and X must be different matrices");
553:   PetscCall(PCGetOperators(pc, NULL, &A));
554:   PetscCall(MatGetLocalSize(A, &m3, &n3));
555:   PetscCall(MatGetLocalSize(X, &m2, &n2));
556:   PetscCall(MatGetLocalSize(Y, &m1, &n1));
557:   PetscCall(MatGetSize(A, &M3, &N3));
558:   PetscCall(MatGetSize(X, &M2, &N2));
559:   PetscCall(MatGetSize(Y, &M1, &N1));
560:   PetscCheck(n1 == n2 && N1 == N2, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Incompatible number of columns between block of input vectors (n,N) = (%" PetscInt_FMT ",%" PetscInt_FMT ") and block of output vectors (n,N) = (%" PetscInt_FMT ",%" PetscInt_FMT ")", n2, N2, n1, N1);
561:   PetscCheck(m2 == m3 && M2 == M3, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Incompatible layout between block of input vectors (m,M) = (%" PetscInt_FMT ",%" PetscInt_FMT ") and Pmat (m,M)x(n,N) = (%" PetscInt_FMT ",%" PetscInt_FMT ")x(%" PetscInt_FMT ",%" PetscInt_FMT ")", m2, M2, m3, M3, n3, N3);
562:   PetscCheck(m1 == n3 && M1 == N3, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Incompatible layout between block of output vectors (m,M) = (%" PetscInt_FMT ",%" PetscInt_FMT ") and Pmat (m,M)x(n,N) = (%" PetscInt_FMT ",%" PetscInt_FMT ")x(%" PetscInt_FMT ",%" PetscInt_FMT ")", m1, M1, m3, M3, n3, N3);
563:   PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)Y, &match, MATSEQDENSE, MATMPIDENSE, ""));
564:   PetscCheck(match, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Provided block of output vectors not stored in a dense Mat");
565:   PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)X, &match, MATSEQDENSE, MATMPIDENSE, ""));
566:   PetscCheck(match, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Provided block of input vectors not stored in a dense Mat");
567:   PetscCall(PCSetUp(pc));
568:   if (!transpose && pc->ops->matapply) {
569:     PetscCall(PetscLogEventBegin(PC_MatApply, pc, X, Y, 0));
570:     PetscUseTypeMethod(pc, matapply, X, Y);
571:     PetscCall(PetscLogEventEnd(PC_MatApply, pc, X, Y, 0));
572:   } else if (transpose && pc->ops->matapplytranspose) {
573:     PetscCall(PetscLogEventBegin(PC_MatApply, pc, X, Y, 0));
574:     PetscUseTypeMethod(pc, matapplytranspose, X, Y);
575:     PetscCall(PetscLogEventEnd(PC_MatApply, pc, X, Y, 0));
576:   } else {
577:     PetscCall(PetscInfo(pc, "PC type %s applying column by column\n", ((PetscObject)pc)->type_name));
578:     for (n1 = 0; n1 < N1; ++n1) {
579:       PetscCall(MatDenseGetColumnVecRead(X, n1, &cx));
580:       PetscCall(MatDenseGetColumnVecWrite(Y, n1, &cy));
581:       if (!transpose) PetscCall(PCApply(pc, cx, cy));
582:       else PetscCall(PCApplyTranspose(pc, cx, cy));
583:       PetscCall(MatDenseRestoreColumnVecWrite(Y, n1, &cy));
584:       PetscCall(MatDenseRestoreColumnVecRead(X, n1, &cx));
585:     }
586:   }
587:   PetscFunctionReturn(PETSC_SUCCESS);
588: }

590: /*@
591:   PCMatApply - Applies the preconditioner to multiple vectors stored as a `MATDENSE`. Like `PCApply()`, `Y` and `X` must be different matrices.

593:   Collective

595:   Input Parameters:
596: + pc - the `PC` preconditioner context
597: - X  - block of input vectors

599:   Output Parameter:
600: . Y - block of output vectors

602:   Level: developer

604: .seealso: [](ch_ksp), `PC`, `PCApply()`, `KSPMatSolve()`
605: @*/
606: PetscErrorCode PCMatApply(PC pc, Mat X, Mat Y)
607: {
608:   PetscFunctionBegin;
609:   PetscCall(PCMatApplyTranspose_Private(pc, X, Y, PETSC_FALSE));
610:   PetscFunctionReturn(PETSC_SUCCESS);
611: }

613: /*@
614:   PCMatApplyTranspose - Applies the transpose of preconditioner to multiple vectors stored as a `MATDENSE`. Like `PCApplyTranspose()`, `Y` and `X` must be different matrices.

616:   Collective

618:   Input Parameters:
619: + pc - the `PC` preconditioner context
620: - X  - block of input vectors

622:   Output Parameter:
623: . Y - block of output vectors

625:   Level: developer

627: .seealso: [](ch_ksp), `PC`, `PCApplyTranspose()`, `KSPMatSolveTranspose()`
628: @*/
629: PetscErrorCode PCMatApplyTranspose(PC pc, Mat X, Mat Y)
630: {
631:   PetscFunctionBegin;
632:   PetscCall(PCMatApplyTranspose_Private(pc, X, Y, PETSC_TRUE));
633:   PetscFunctionReturn(PETSC_SUCCESS);
634: }

636: /*@
637:   PCApplySymmetricLeft - Applies the left part of a symmetric preconditioner to a vector.

639:   Collective

641:   Input Parameters:
642: + pc - the `PC` preconditioner context
643: - x  - input vector

645:   Output Parameter:
646: . y - output vector

648:   Level: developer

650:   Note:
651:   Currently, this routine is implemented only for `PCICC` and `PCJACOBI` preconditioners.

653: .seealso: [](ch_ksp), `PC`, `PCApply()`, `PCApplySymmetricRight()`
654: @*/
655: PetscErrorCode PCApplySymmetricLeft(PC pc, Vec x, Vec y)
656: {
657:   PetscFunctionBegin;
661:   PetscCheck(x != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "x and y must be different vectors");
662:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));
663:   PetscCall(PCSetUp(pc));
664:   PetscCall(VecLockReadPush(x));
665:   PetscCall(PetscLogEventBegin(PC_ApplySymmetricLeft, pc, x, y, 0));
666:   PetscUseTypeMethod(pc, applysymmetricleft, x, y);
667:   PetscCall(PetscLogEventEnd(PC_ApplySymmetricLeft, pc, x, y, 0));
668:   PetscCall(VecLockReadPop(x));
669:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 3, PETSC_FALSE));
670:   PetscFunctionReturn(PETSC_SUCCESS);
671: }

673: /*@
674:   PCApplySymmetricRight - Applies the right part of a symmetric preconditioner to a vector.

676:   Collective

678:   Input Parameters:
679: + pc - the `PC` preconditioner context
680: - x  - input vector

682:   Output Parameter:
683: . y - output vector

685:   Level: developer

687:   Note:
688:   Currently, this routine is implemented only for `PCICC` and `PCJACOBI` preconditioners.

690: .seealso: [](ch_ksp), `PC`, `PCApply()`, `PCApplySymmetricLeft()`
691: @*/
692: PetscErrorCode PCApplySymmetricRight(PC pc, Vec x, Vec y)
693: {
694:   PetscFunctionBegin;
698:   PetscCheck(x != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "x and y must be different vectors");
699:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));
700:   PetscCall(PCSetUp(pc));
701:   PetscCall(VecLockReadPush(x));
702:   PetscCall(PetscLogEventBegin(PC_ApplySymmetricRight, pc, x, y, 0));
703:   PetscUseTypeMethod(pc, applysymmetricright, x, y);
704:   PetscCall(PetscLogEventEnd(PC_ApplySymmetricRight, pc, x, y, 0));
705:   PetscCall(VecLockReadPop(x));
706:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 3, PETSC_FALSE));
707:   PetscFunctionReturn(PETSC_SUCCESS);
708: }

710: /*@
711:   PCApplyTranspose - Applies the transpose of preconditioner to a vector.

713:   Collective

715:   Input Parameters:
716: + pc - the `PC` preconditioner context
717: - x  - input vector

719:   Output Parameter:
720: . y - output vector

722:   Level: developer

724:   Note:
725:   For complex numbers this applies the non-Hermitian transpose.

727:   Developer Note:
728:   We need to implement a `PCApplyHermitianTranspose()`

730: .seealso: [](ch_ksp), `PC`, `PCApply()`, `PCApplyBAorAB()`, `PCApplyBAorABTranspose()`, `PCApplyTransposeExists()`
731: @*/
732: PetscErrorCode PCApplyTranspose(PC pc, Vec x, Vec y)
733: {
734:   PetscFunctionBegin;
738:   PetscCheck(x != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "x and y must be different vectors");
739:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(x, 2, PETSC_TRUE));
740:   PetscCall(PCSetUp(pc));
741:   PetscCall(VecLockReadPush(x));
742:   PetscCall(PetscLogEventBegin(PC_Apply, pc, x, y, 0));
743:   PetscUseTypeMethod(pc, applytranspose, x, y);
744:   PetscCall(PetscLogEventEnd(PC_Apply, pc, x, y, 0));
745:   PetscCall(VecLockReadPop(x));
746:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 3, PETSC_FALSE));
747:   PetscFunctionReturn(PETSC_SUCCESS);
748: }

750: /*@
751:   PCApplyTransposeExists - Test whether the preconditioner has a transpose apply operation

753:   Collective

755:   Input Parameter:
756: . pc - the `PC` preconditioner context

758:   Output Parameter:
759: . flg - `PETSC_TRUE` if a transpose operation is defined

761:   Level: developer

763: .seealso: [](ch_ksp), `PC`, `PCApplyTranspose()`
764: @*/
765: PetscErrorCode PCApplyTransposeExists(PC pc, PetscBool *flg)
766: {
767:   PetscFunctionBegin;
769:   PetscAssertPointer(flg, 2);
770:   if (pc->ops->applytranspose) *flg = PETSC_TRUE;
771:   else *flg = PETSC_FALSE;
772:   PetscFunctionReturn(PETSC_SUCCESS);
773: }

775: /*@
776:   PCApplyBAorAB - Applies the preconditioner and operator to a vector. $y = B*A*x $ or $ y = A*B*x$.

778:   Collective

780:   Input Parameters:
781: + pc   - the `PC` preconditioner context
782: . side - indicates the preconditioner side, one of `PC_LEFT`, `PC_RIGHT`, or `PC_SYMMETRIC`
783: . x    - input vector
784: - work - work vector

786:   Output Parameter:
787: . y - output vector

789:   Level: developer

791:   Note:
792:   If the `PC` has had `PCSetDiagonalScale()` set then $ D M A D^{-1} $ for left preconditioning or $ D A M D^{-1} $ is actually applied.
793:   The specific `KSPSolve()` method must also be written to handle the post-solve "correction" for the diagonal scaling.

795: .seealso: [](ch_ksp), `PC`, `PCApply()`, `PCApplyTranspose()`, `PCApplyBAorABTranspose()`
796: @*/
797: PetscErrorCode PCApplyBAorAB(PC pc, PCSide side, Vec x, Vec y, Vec work)
798: {
799:   PetscFunctionBegin;
805:   PetscCheckSameComm(pc, 1, x, 3);
806:   PetscCheckSameComm(pc, 1, y, 4);
807:   PetscCheckSameComm(pc, 1, work, 5);
808:   PetscCheck(x != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "x and y must be different vectors");
809:   PetscCheck(side == PC_LEFT || side == PC_SYMMETRIC || side == PC_RIGHT, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_OUTOFRANGE, "Side must be right, left, or symmetric");
810:   PetscCheck(!pc->diagonalscale || side != PC_SYMMETRIC, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Cannot include diagonal scaling with symmetric preconditioner application");
811:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(x, 3, PETSC_TRUE));

813:   PetscCall(PCSetUp(pc));
814:   if (pc->diagonalscale) {
815:     if (pc->ops->applyBA) {
816:       Vec work2; /* this is expensive, but to fix requires a second work vector argument to PCApplyBAorAB() */
817:       PetscCall(VecDuplicate(x, &work2));
818:       PetscCall(PCDiagonalScaleRight(pc, x, work2));
819:       PetscUseTypeMethod(pc, applyBA, side, work2, y, work);
820:       PetscCall(PCDiagonalScaleLeft(pc, y, y));
821:       PetscCall(VecDestroy(&work2));
822:     } else if (side == PC_RIGHT) {
823:       PetscCall(PCDiagonalScaleRight(pc, x, y));
824:       PetscCall(PCApply(pc, y, work));
825:       PetscCall(MatMult(pc->mat, work, y));
826:       PetscCall(PCDiagonalScaleLeft(pc, y, y));
827:     } else if (side == PC_LEFT) {
828:       PetscCall(PCDiagonalScaleRight(pc, x, y));
829:       PetscCall(MatMult(pc->mat, y, work));
830:       PetscCall(PCApply(pc, work, y));
831:       PetscCall(PCDiagonalScaleLeft(pc, y, y));
832:     } else PetscCheck(side != PC_SYMMETRIC, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Cannot provide diagonal scaling with symmetric application of preconditioner");
833:   } else {
834:     if (pc->ops->applyBA) {
835:       PetscUseTypeMethod(pc, applyBA, side, x, y, work);
836:     } else if (side == PC_RIGHT) {
837:       PetscCall(PCApply(pc, x, work));
838:       PetscCall(MatMult(pc->mat, work, y));
839:     } else if (side == PC_LEFT) {
840:       PetscCall(MatMult(pc->mat, x, work));
841:       PetscCall(PCApply(pc, work, y));
842:     } else if (side == PC_SYMMETRIC) {
843:       /* There's an extra copy here; maybe should provide 2 work vectors instead? */
844:       PetscCall(PCApplySymmetricRight(pc, x, work));
845:       PetscCall(MatMult(pc->mat, work, y));
846:       PetscCall(VecCopy(y, work));
847:       PetscCall(PCApplySymmetricLeft(pc, work, y));
848:     }
849:   }
850:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 4, PETSC_FALSE));
851:   PetscFunctionReturn(PETSC_SUCCESS);
852: }

854: /*@
855:   PCApplyBAorABTranspose - Applies the transpose of the preconditioner
856:   and operator to a vector. That is, applies $B^T * A^T$ with left preconditioning,
857:   NOT $(B*A)^T = A^T*B^T$.

859:   Collective

861:   Input Parameters:
862: + pc   - the `PC` preconditioner context
863: . side - indicates the preconditioner side, one of `PC_LEFT`, `PC_RIGHT`, or `PC_SYMMETRIC`
864: . x    - input vector
865: - work - work vector

867:   Output Parameter:
868: . y - output vector

870:   Level: developer

872:   Note:
873:   This routine is used internally so that the same Krylov code can be used to solve $A x = b$ and $A^T x = b$, with a preconditioner
874:   defined by $B^T$. This is why this has the funny form that it computes $B^T * A^T$

876: .seealso: [](ch_ksp), `PC`, `PCApply()`, `PCApplyTranspose()`, `PCApplyBAorAB()`
877: @*/
878: PetscErrorCode PCApplyBAorABTranspose(PC pc, PCSide side, Vec x, Vec y, Vec work)
879: {
880:   PetscFunctionBegin;
885:   PetscCheck(x != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "x and y must be different vectors");
886:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(x, 3, PETSC_TRUE));
887:   if (pc->ops->applyBAtranspose) {
888:     PetscUseTypeMethod(pc, applyBAtranspose, side, x, y, work);
889:     if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 4, PETSC_FALSE));
890:     PetscFunctionReturn(PETSC_SUCCESS);
891:   }
892:   PetscCheck(side == PC_LEFT || side == PC_RIGHT, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_OUTOFRANGE, "Side must be right or left");

894:   PetscCall(PCSetUp(pc));
895:   if (side == PC_RIGHT) {
896:     PetscCall(PCApplyTranspose(pc, x, work));
897:     PetscCall(MatMultTranspose(pc->mat, work, y));
898:   } else if (side == PC_LEFT) {
899:     PetscCall(MatMultTranspose(pc->mat, x, work));
900:     PetscCall(PCApplyTranspose(pc, work, y));
901:   }
902:   /* add support for PC_SYMMETRIC */
903:   if (pc->erroriffailure) PetscCall(VecValidValues_Internal(y, 4, PETSC_FALSE));
904:   PetscFunctionReturn(PETSC_SUCCESS);
905: }

907: /*@
908:   PCApplyRichardsonExists - Determines whether a particular preconditioner has a
909:   built-in fast application of Richardson's method.

911:   Not Collective

913:   Input Parameter:
914: . pc - the preconditioner

916:   Output Parameter:
917: . exists - `PETSC_TRUE` or `PETSC_FALSE`

919:   Level: developer

921: .seealso: [](ch_ksp), `PC`, `KSPRICHARDSON`, `PCApplyRichardson()`
922: @*/
923: PetscErrorCode PCApplyRichardsonExists(PC pc, PetscBool *exists)
924: {
925:   PetscFunctionBegin;
927:   PetscAssertPointer(exists, 2);
928:   if (pc->ops->applyrichardson) *exists = PETSC_TRUE;
929:   else *exists = PETSC_FALSE;
930:   PetscFunctionReturn(PETSC_SUCCESS);
931: }

933: /*@
934:   PCApplyRichardson - Applies several steps of Richardson iteration with
935:   the particular preconditioner. This routine is usually used by the
936:   Krylov solvers and not the application code directly.

938:   Collective

940:   Input Parameters:
941: + pc        - the `PC` preconditioner context
942: . b         - the right-hand side
943: . w         - one work vector
944: . rtol      - relative decrease in residual norm convergence criteria
945: . abstol    - absolute residual norm convergence criteria
946: . dtol      - divergence residual norm increase criteria
947: . its       - the number of iterations to apply.
948: - guesszero - if the input x contains nonzero initial guess

950:   Output Parameters:
951: + outits - number of iterations actually used (for SOR this always equals its)
952: . reason - the reason the apply terminated
953: - y      - the solution (also contains initial guess if guesszero is `PETSC_FALSE`

955:   Level: developer

957:   Notes:
958:   Most preconditioners do not support this function. Use the command
959:   `PCApplyRichardsonExists()` to determine if one does.

961:   Except for the `PCMG` this routine ignores the convergence tolerances
962:   and always runs for the number of iterations

964: .seealso: [](ch_ksp), `PC`, `PCApplyRichardsonExists()`
965: @*/
966: PetscErrorCode PCApplyRichardson(PC pc, Vec b, Vec y, Vec w, PetscReal rtol, PetscReal abstol, PetscReal dtol, PetscInt its, PetscBool guesszero, PetscInt *outits, PCRichardsonConvergedReason *reason)
967: {
968:   PetscFunctionBegin;
973:   PetscCheck(b != y, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_IDN, "b and y must be different vectors");
974:   PetscCall(PCSetUp(pc));
975:   PetscUseTypeMethod(pc, applyrichardson, b, y, w, rtol, abstol, dtol, its, guesszero, outits, reason);
976:   PetscFunctionReturn(PETSC_SUCCESS);
977: }

979: /*@
980:   PCSetFailedReason - Sets the reason a `PCSetUp()` failed or `PC_NOERROR` if it did not fail

982:   Logically Collective

984:   Input Parameters:
985: + pc     - the `PC` preconditioner context
986: - reason - the reason it failed

988:   Level: advanced

990: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCApply()`, `PCDestroy()`, `PCFailedReason`
991: @*/
992: PetscErrorCode PCSetFailedReason(PC pc, PCFailedReason reason)
993: {
994:   PetscFunctionBegin;
996:   pc->failedreason = reason;
997:   PetscFunctionReturn(PETSC_SUCCESS);
998: }

1000: /*@
1001:   PCGetFailedReason - Gets the reason a `PCSetUp()` failed or `PC_NOERROR` if it did not fail

1003:   Not Collective

1005:   Input Parameter:
1006: . pc - the `PC` preconditioner context

1008:   Output Parameter:
1009: . reason - the reason it failed

1011:   Level: advanced

1013:   Note:
1014:   After a call to `KSPCheckDot()` or  `KSPCheckNorm()` inside a `KSPSolve()` or a call to `PCReduceFailedReason()`
1015:   this is the maximum reason over all MPI processes in the `PC` communicator and hence logically collective.
1016:   Otherwise it returns the local value.

1018: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCApply()`, `PCDestroy()`, `PCSetFailedReason()`, `PCFailedReason`
1019: @*/
1020: PetscErrorCode PCGetFailedReason(PC pc, PCFailedReason *reason)
1021: {
1022:   PetscFunctionBegin;
1024:   *reason = pc->failedreason;
1025:   PetscFunctionReturn(PETSC_SUCCESS);
1026: }

1028: /*@
1029:   PCReduceFailedReason - Reduce the failed reason among the MPI processes that share the `PC`

1031:   Collective

1033:   Input Parameter:
1034: . pc - the `PC` preconditioner context

1036:   Level: advanced

1038:   Note:
1039:   Different MPI processes may have different reasons or no reason, see `PCGetFailedReason()`. This routine
1040:   makes them have a common value (failure if any MPI process had a failure).

1042: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCApply()`, `PCDestroy()`, `PCGetFailedReason()`, `PCSetFailedReason()`, `PCFailedReason`
1043: @*/
1044: PetscErrorCode PCReduceFailedReason(PC pc)
1045: {
1046:   PetscInt buf;

1048:   PetscFunctionBegin;
1050:   buf = (PetscInt)pc->failedreason;
1051:   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &buf, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)pc)));
1052:   pc->failedreason = (PCFailedReason)buf;
1053:   PetscFunctionReturn(PETSC_SUCCESS);
1054: }

1056: /*
1057:       a setupcall of 0 indicates never setup,
1058:                      1 indicates has been previously setup
1059:                     -1 indicates a PCSetUp() was attempted and failed
1060: */
1061: /*@
1062:   PCSetUp - Prepares for the use of a preconditioner. Performs all the one-time operations needed before the preconditioner
1063:   can be used with `PCApply()`

1065:   Collective

1067:   Input Parameter:
1068: . pc - the `PC` preconditioner context

1070:   Level: developer

1072:   Notes:
1073:   For example, for `PCLU` this will compute the factorization.

1075:   This is called automatically by `KSPSetUp()` or `PCApply()` so rarely needs to be called directly.

1077:   For nested preconditioners, such as `PCFIELDSPLIT` or `PCBJACOBI` this may not finish the construction of the preconditioner
1078:   on the inner levels, the routine `PCSetUpOnBlocks()` may compute more of the preconditioner in those situations.

1080: .seealso: [](ch_ksp), `PC`, `PCCreate()`, `PCApply()`, `PCDestroy()`, `KSPSetUp()`, `PCSetUpOnBlocks()`
1081: @*/
1082: PetscErrorCode PCSetUp(PC pc)
1083: {
1084:   const char      *def;
1085:   PetscObjectState matstate, matnonzerostate;

1087:   PetscFunctionBegin;
1089:   PetscCheck(pc->mat, PetscObjectComm((PetscObject)pc), PETSC_ERR_ARG_WRONGSTATE, "Matrix must be set first");

1091:   if (pc->setupcalled && pc->reusepreconditioner) {
1092:     PetscCall(PetscInfo(pc, "Leaving PC with identical preconditioner since reuse preconditioner is set\n"));
1093:     PetscFunctionReturn(PETSC_SUCCESS);
1094:   }

1096:   PetscCall(PetscObjectStateGet((PetscObject)pc->pmat, &matstate));
1097:   PetscCall(MatGetNonzeroState(pc->pmat, &matnonzerostate));
1098:   if (!pc->setupcalled) {
1099:     //PetscCall(PetscInfo(pc, "Setting up PC for first time\n"));
1100:     pc->flag = DIFFERENT_NONZERO_PATTERN;
1101:   } else if (matstate == pc->matstate) PetscFunctionReturn(PETSC_SUCCESS);
1102:   else {
1103:     if (matnonzerostate != pc->matnonzerostate) {
1104:       PetscCall(PetscInfo(pc, "Setting up PC with different nonzero pattern\n"));
1105:       pc->flag = DIFFERENT_NONZERO_PATTERN;
1106:     } else {
1107:       //PetscCall(PetscInfo(pc, "Setting up PC with same nonzero pattern\n"));
1108:       pc->flag = SAME_NONZERO_PATTERN;
1109:     }
1110:   }
1111:   pc->matstate        = matstate;
1112:   pc->matnonzerostate = matnonzerostate;

1114:   if (!((PetscObject)pc)->type_name) {
1115:     PetscCall(PCGetDefaultType_Private(pc, &def));
1116:     PetscCall(PCSetType(pc, def));
1117:   }

1119:   PetscCall(MatSetErrorIfFailure(pc->pmat, pc->erroriffailure));
1120:   PetscCall(MatSetErrorIfFailure(pc->mat, pc->erroriffailure));
1121:   PetscCall(PetscLogEventBegin(PC_SetUp, pc, 0, 0, 0));
1122:   if (pc->ops->setup) {
1123:     PetscCall(PCLogEventsDeactivatePush());
1124:     PetscUseTypeMethod(pc, setup);
1125:     PetscCall(PCLogEventsDeactivatePop());
1126:   }
1127:   PetscCall(PetscLogEventEnd(PC_SetUp, pc, 0, 0, 0));
1128:   if (pc->postsetup) PetscCall((*pc->postsetup)(pc));
1129:   if (!pc->setupcalled) pc->setupcalled = PETSC_TRUE;
1130:   PetscFunctionReturn(PETSC_SUCCESS);
1131: }

1133: /*@
1134:   PCSetUpOnBlocks - Sets up the preconditioner for each block in
1135:   the block Jacobi, overlapping Schwarz, and fieldsplit methods.

1137:   Collective

1139:   Input Parameter:
1140: . pc - the `PC` preconditioner context

1142:   Level: developer

1144:   Notes:
1145:   For nested preconditioners such as `PCBJACOBI`, `PCSetUp()` is not called on each sub-`KSP` when `PCSetUp()` is
1146:   called on the outer `PC`, this routine ensures it is called.

1148:   It calls `PCSetUp()` if not yet called.

1150: .seealso: [](ch_ksp), `PC`, `PCSetUp()`, `PCCreate()`, `PCApply()`, `PCDestroy()`
1151: @*/
1152: PetscErrorCode PCSetUpOnBlocks(PC pc)
1153: {
1154:   PetscFunctionBegin;
1156:   if (!pc->setupcalled) PetscCall(PCSetUp(pc)); /* "if" to prevent -info extra prints */
1157:   if (!pc->ops->setuponblocks) PetscFunctionReturn(PETSC_SUCCESS);
1158:   PetscCall(MatSetErrorIfFailure(pc->pmat, pc->erroriffailure));
1159:   PetscCall(PetscLogEventBegin(PC_SetUpOnBlocks, pc, 0, 0, 0));
1160:   PetscCall(PCLogEventsDeactivatePush());
1161:   PetscUseTypeMethod(pc, setuponblocks);
1162:   PetscCall(PCLogEventsDeactivatePop());
1163:   PetscCall(PetscLogEventEnd(PC_SetUpOnBlocks, pc, 0, 0, 0));
1164:   PetscFunctionReturn(PETSC_SUCCESS);
1165: }

1167: /*@C
1168:   PCSetModifySubMatrices - Sets a user-defined routine for modifying the
1169:   submatrices that arise within certain subdomain-based preconditioners such as `PCASM`

1171:   Logically Collective

1173:   Input Parameters:
1174: + pc   - the `PC` preconditioner context
1175: . func - routine for modifying the submatrices, see `PCModifySubMatricesFn`
1176: - ctx  - optional user-defined context (may be `NULL`)

1178:   Level: advanced

1180:   Notes:
1181:   The basic submatrices are extracted from the matrix used to construct the preconditioner as
1182:   usual; the user can then alter these (for example, to set different boundary
1183:   conditions for each submatrix) before they are used for the local solves.

1185:   `PCSetModifySubMatrices()` MUST be called before `KSPSetUp()` and
1186:   `KSPSolve()`.

1188:   A routine set by `PCSetModifySubMatrices()` is currently called within
1189:   `PCBJACOBI`, `PCASM`, `PCGASM`, and `PCHPDDM`.
1190:   All other preconditioners ignore this routine.

1192: .seealso: [](ch_ksp), `PC`, `PCModifySubMatricesFn`, `PCBJACOBI`, `PCASM`, `PCModifySubMatrices()`
1193: @*/
1194: PetscErrorCode PCSetModifySubMatrices(PC pc, PCModifySubMatricesFn *func, PetscCtx ctx)
1195: {
1196:   PetscFunctionBegin;
1198:   pc->modifysubmatrices  = func;
1199:   pc->modifysubmatricesP = ctx;
1200:   PetscFunctionReturn(PETSC_SUCCESS);
1201: }

1203: /*@C
1204:   PCModifySubMatrices - Calls an optional user-defined routine within
1205:   certain preconditioners if one has been set with `PCSetModifySubMatrices()`.

1207:   Collective

1209:   Input Parameters:
1210: + pc     - the `PC` preconditioner context
1211: . nsub   - the number of local submatrices
1212: . row    - an array of index sets that contain the global row numbers
1213:          that comprise each local submatrix
1214: . col    - an array of index sets that contain the global column numbers
1215:          that comprise each local submatrix
1216: . submat - array of local submatrices
1217: - ctx    - optional user-defined context for private data for the
1218:          user-defined routine (may be `NULL`)

1220:   Output Parameter:
1221: . submat - array of local submatrices (the entries of which may
1222:             have been modified)

1224:   Level: developer

1226:   Note:
1227:   The user should NOT generally call this routine, as it will
1228:   automatically be called within certain preconditioners.

1230: .seealso: [](ch_ksp), `PC`, `PCModifySubMatricesFn`, `PCSetModifySubMatrices()`
1231: @*/
1232: PetscErrorCode PCModifySubMatrices(PC pc, PetscInt nsub, const IS row[], const IS col[], Mat submat[], PetscCtx ctx)
1233: {
1234:   PetscFunctionBegin;
1236:   if (!pc->modifysubmatrices) PetscFunctionReturn(PETSC_SUCCESS);
1237:   PetscCall(PetscLogEventBegin(PC_ModifySubMatrices, pc, 0, 0, 0));
1238:   PetscCall((*pc->modifysubmatrices)(pc, nsub, row, col, submat, ctx));
1239:   PetscCall(PetscLogEventEnd(PC_ModifySubMatrices, pc, 0, 0, 0));
1240:   PetscFunctionReturn(PETSC_SUCCESS);
1241: }

1243: /*@
1244:   PCSetOperators - Sets the matrix associated with the linear system and
1245:   a (possibly) different one from which the preconditioner will be constructed.

1247:   Logically Collective

1249:   Input Parameters:
1250: + pc   - the `PC` preconditioner context
1251: . Amat - the matrix that defines the linear system
1252: - Pmat - the matrix to be used in constructing the preconditioner, usually the same as Amat.

1254:   Level: advanced

1256:   Notes:
1257:   Using this routine directly is rarely needed, the preferred, and equivalent, usage is `KSPSetOperators()`.

1259:   Passing a `NULL` for `Amat` or `Pmat` removes the matrix that is currently used.

1261:   If you wish to replace either `Amat` or `Pmat` but leave the other one untouched then
1262:   first call `KSPGetOperators()` to get the one you wish to keep, call `PetscObjectReference()`
1263:   on it and then pass it back in in your call to `KSPSetOperators()`.

1265:   More Notes about Repeated Solution of Linear Systems:
1266:   PETSc does NOT reset the matrix entries of either `Amat` or `Pmat`
1267:   to zero after a linear solve; the user is completely responsible for
1268:   matrix assembly.  See the routine `MatZeroEntries()` if desiring to
1269:   zero all elements of a matrix.

1271: .seealso: [](ch_ksp), `PC`, `PCGetOperators()`, `MatZeroEntries()`
1272:  @*/
1273: PetscErrorCode PCSetOperators(PC pc, Mat Amat, Mat Pmat)
1274: {
1275:   PetscInt m1, n1, m2, n2;

1277:   PetscFunctionBegin;
1281:   if (Amat) PetscCheckSameComm(pc, 1, Amat, 2);
1282:   if (Pmat) PetscCheckSameComm(pc, 1, Pmat, 3);
1283:   if (pc->setupcalled && pc->mat && pc->pmat && Amat && Pmat) {
1284:     PetscCall(MatGetLocalSize(Amat, &m1, &n1));
1285:     PetscCall(MatGetLocalSize(pc->mat, &m2, &n2));
1286:     PetscCheck(m1 == m2 && n1 == n2, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Cannot change local size of Amat after use old sizes %" PetscInt_FMT " %" PetscInt_FMT " new sizes %" PetscInt_FMT " %" PetscInt_FMT, m2, n2, m1, n1);
1287:     PetscCall(MatGetLocalSize(Pmat, &m1, &n1));
1288:     PetscCall(MatGetLocalSize(pc->pmat, &m2, &n2));
1289:     PetscCheck(m1 == m2 && n1 == n2, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Cannot change local size of Pmat after use old sizes %" PetscInt_FMT " %" PetscInt_FMT " new sizes %" PetscInt_FMT " %" PetscInt_FMT, m2, n2, m1, n1);
1290:   }

1292:   if (Pmat != pc->pmat) {
1293:     /* changing the operator that defines the preconditioner thus reneed to clear current states so new preconditioner is built */
1294:     pc->matnonzerostate = -1;
1295:     pc->matstate        = -1;
1296:   }

1298:   /* reference first in case the matrices are the same */
1299:   PetscCall(PetscObjectReference((PetscObject)Amat));
1300:   PetscCall(MatDestroy(&pc->mat));
1301:   PetscCall(PetscObjectReference((PetscObject)Pmat));
1302:   PetscCall(MatDestroy(&pc->pmat));
1303:   pc->mat  = Amat;
1304:   pc->pmat = Pmat;
1305:   PetscFunctionReturn(PETSC_SUCCESS);
1306: }

1308: /*@
1309:   PCSetReusePreconditioner - reuse the current preconditioner even if the operator in the preconditioner `PC` has changed.

1311:   Logically Collective

1313:   Input Parameters:
1314: + pc   - the `PC` preconditioner context
1315: - flag - `PETSC_TRUE` do not compute a new preconditioner, `PETSC_FALSE` do compute a new preconditioner

1317:   Level: intermediate

1319:   Note:
1320:   Normally if a matrix inside a `PC` changes the `PC` automatically updates itself using information from the changed matrix. This option
1321:   prevents this.

1323: .seealso: [](ch_ksp), `PC`, `PCGetOperators()`, `MatZeroEntries()`, `PCGetReusePreconditioner()`, `KSPSetReusePreconditioner()`
1324:  @*/
1325: PetscErrorCode PCSetReusePreconditioner(PC pc, PetscBool flag)
1326: {
1327:   PetscFunctionBegin;
1330:   pc->reusepreconditioner = flag;
1331:   PetscTryMethod(pc, "PCSetReusePreconditioner_C", (PC, PetscBool), (pc, flag));
1332:   PetscFunctionReturn(PETSC_SUCCESS);
1333: }

1335: /*@
1336:   PCGetReusePreconditioner - Determines if the `PC` reuses the current preconditioner even if the operator in the preconditioner has changed.

1338:   Not Collective

1340:   Input Parameter:
1341: . pc - the `PC` preconditioner context

1343:   Output Parameter:
1344: . flag - `PETSC_TRUE` do not compute a new preconditioner, `PETSC_FALSE` do compute a new preconditioner

1346:   Level: intermediate

1348: .seealso: [](ch_ksp), `PC`, `PCGetOperators()`, `MatZeroEntries()`, `PCSetReusePreconditioner()`
1349:  @*/
1350: PetscErrorCode PCGetReusePreconditioner(PC pc, PetscBool *flag)
1351: {
1352:   PetscFunctionBegin;
1354:   PetscAssertPointer(flag, 2);
1355:   *flag = pc->reusepreconditioner;
1356:   PetscFunctionReturn(PETSC_SUCCESS);
1357: }

1359: /*@
1360:   PCGetOperators - Gets the matrix associated with the linear system and
1361:   possibly a different one which is used to construct the preconditioner.

1363:   Not Collective, though parallel `Mat`s are returned if `pc` is parallel

1365:   Input Parameter:
1366: . pc - the `PC` preconditioner context

1368:   Output Parameters:
1369: + Amat - the matrix defining the linear system
1370: - Pmat - the matrix from which the preconditioner is constructed, usually the same as Amat.

1372:   Level: intermediate

1374:   Note:
1375:   Does not increase the reference count of the matrices, so you should not destroy them

1377:   Alternative usage: If the operators have NOT been set with `KSPSetOperators()`/`PCSetOperators()` then the operators
1378:   are created in `PC` and returned to the user. In this case, if both operators
1379:   mat and pmat are requested, two DIFFERENT operators will be returned. If
1380:   only one is requested both operators in the PC will be the same (i.e. as
1381:   if one had called `KSPSetOperators()`/`PCSetOperators()` with the same argument for both Mats).
1382:   The user must set the sizes of the returned matrices and their type etc just
1383:   as if the user created them with `MatCreate()`. For example,

1385: .vb
1386:          KSP/PCGetOperators(ksp/pc,&Amat,NULL); is equivalent to
1387:            set size, type, etc of Amat

1389:          MatCreate(comm,&mat);
1390:          KSP/PCSetOperators(ksp/pc,Amat,Amat);
1391:          PetscObjectDereference((PetscObject)mat);
1392:            set size, type, etc of Amat
1393: .ve

1395:   and

1397: .vb
1398:          KSP/PCGetOperators(ksp/pc,&Amat,&Pmat); is equivalent to
1399:            set size, type, etc of Amat and Pmat

1401:          MatCreate(comm,&Amat);
1402:          MatCreate(comm,&Pmat);
1403:          KSP/PCSetOperators(ksp/pc,Amat,Pmat);
1404:          PetscObjectDereference((PetscObject)Amat);
1405:          PetscObjectDereference((PetscObject)Pmat);
1406:            set size, type, etc of Amat and Pmat
1407: .ve

1409:   The rationale for this support is so that when creating a `TS`, `SNES`, or `KSP` the hierarchy
1410:   of underlying objects (i.e. `SNES`, `KSP`, `PC`, `Mat`) and their lifespans can be completely
1411:   managed by the top most level object (i.e. the `TS`, `SNES`, or `KSP`). Another way to look
1412:   at this is when you create a `SNES` you do not NEED to create a `KSP` and attach it to
1413:   the `SNES` object (the `SNES` object manages it for you). Similarly when you create a KSP
1414:   you do not need to attach a `PC` to it (the `KSP` object manages the `PC` object for you).
1415:   Thus, why should YOU have to create the `Mat` and attach it to the `SNES`/`KSP`/`PC`, when
1416:   it can be created for you?

1418: .seealso: [](ch_ksp), `PC`, `PCSetOperators()`, `KSPGetOperators()`, `KSPSetOperators()`, `PCGetOperatorsSet()`
1419: @*/
1420: PetscErrorCode PCGetOperators(PC pc, Mat *Amat, Mat *Pmat)
1421: {
1422:   PetscFunctionBegin;
1424:   if (Amat) {
1425:     if (!pc->mat) {
1426:       if (pc->pmat && !Pmat) { /* Pmat has been set, but user did not request it, so use for Amat */
1427:         pc->mat = pc->pmat;
1428:         PetscCall(PetscObjectReference((PetscObject)pc->mat));
1429:       } else { /* both Amat and Pmat are empty */
1430:         PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pc->mat));
1431:         if (!Pmat) { /* user did NOT request Pmat, so make same as Amat */
1432:           pc->pmat = pc->mat;
1433:           PetscCall(PetscObjectReference((PetscObject)pc->pmat));
1434:         }
1435:       }
1436:     }
1437:     *Amat = pc->mat;
1438:   }
1439:   if (Pmat) {
1440:     if (!pc->pmat) {
1441:       if (pc->mat && !Amat) { /* Amat has been set but was not requested, so use for pmat */
1442:         pc->pmat = pc->mat;
1443:         PetscCall(PetscObjectReference((PetscObject)pc->pmat));
1444:       } else {
1445:         PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pc->pmat));
1446:         if (!Amat) { /* user did NOT request Amat, so make same as Pmat */
1447:           pc->mat = pc->pmat;
1448:           PetscCall(PetscObjectReference((PetscObject)pc->mat));
1449:         }
1450:       }
1451:     }
1452:     *Pmat = pc->pmat;
1453:   }
1454:   PetscFunctionReturn(PETSC_SUCCESS);
1455: }

1457: /*@
1458:   PCGetOperatorsSet - Determines if the matrix associated with the linear system and
1459:   possibly a different one associated with the preconditioner have been set in the `PC`.

1461:   Not Collective, though the results on all processes should be the same

1463:   Input Parameter:
1464: . pc - the `PC` preconditioner context

1466:   Output Parameters:
1467: + mat  - the matrix associated with the linear system was set
1468: - pmat - matrix associated with the preconditioner was set, usually the same

1470:   Level: intermediate

1472: .seealso: [](ch_ksp), `PC`, `PCSetOperators()`, `KSPGetOperators()`, `KSPSetOperators()`, `PCGetOperators()`
1473: @*/
1474: PetscErrorCode PCGetOperatorsSet(PC pc, PetscBool *mat, PetscBool *pmat)
1475: {
1476:   PetscFunctionBegin;
1478:   if (mat) *mat = (pc->mat) ? PETSC_TRUE : PETSC_FALSE;
1479:   if (pmat) *pmat = (pc->pmat) ? PETSC_TRUE : PETSC_FALSE;
1480:   PetscFunctionReturn(PETSC_SUCCESS);
1481: }

1483: /*@
1484:   PCFactorGetMatrix - Gets the factored matrix from the
1485:   preconditioner context.  This routine is valid only for the `PCLU`,
1486:   `PCILU`, `PCCHOLESKY`, and `PCICC` methods.

1488:   Not Collective though `mat` is parallel if `pc` is parallel

1490:   Input Parameter:
1491: . pc - the `PC` preconditioner context

1493:   Output Parameters:
1494: . mat - the factored matrix

1496:   Level: advanced

1498:   Note:
1499:   Does not increase the reference count for `mat` so DO NOT destroy it

1501: .seealso: [](ch_ksp), `PC`, `PCLU`, `PCILU`, `PCCHOLESKY`, `PCICC`
1502: @*/
1503: PetscErrorCode PCFactorGetMatrix(PC pc, Mat *mat)
1504: {
1505:   PetscFunctionBegin;
1507:   PetscAssertPointer(mat, 2);
1508:   PetscCall(PCFactorSetUpMatSolverType(pc));
1509:   PetscUseTypeMethod(pc, getfactoredmatrix, mat);
1510:   PetscFunctionReturn(PETSC_SUCCESS);
1511: }

1513: /*@
1514:   PCSetOptionsPrefix - Sets the prefix used for searching for all
1515:   `PC` options in the database.

1517:   Logically Collective

1519:   Input Parameters:
1520: + pc     - the `PC` preconditioner context
1521: - prefix - the prefix string to prepend to all `PC` option requests

1523:   Note:
1524:   A hyphen (-) must NOT be given at the beginning of the prefix name.
1525:   The first character of all runtime options is AUTOMATICALLY the
1526:   hyphen.

1528:   Level: advanced

1530: .seealso: [](ch_ksp), `PC`, `PCSetFromOptions`, `PCAppendOptionsPrefix()`, `PCGetOptionsPrefix()`
1531: @*/
1532: PetscErrorCode PCSetOptionsPrefix(PC pc, const char prefix[])
1533: {
1534:   PetscFunctionBegin;
1536:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)pc, prefix));
1537:   PetscFunctionReturn(PETSC_SUCCESS);
1538: }

1540: /*@
1541:   PCAppendOptionsPrefix - Appends to the prefix used for searching for all
1542:   `PC` options in the database.

1544:   Logically Collective

1546:   Input Parameters:
1547: + pc     - the `PC` preconditioner context
1548: - prefix - the prefix string to prepend to all `PC` option requests

1550:   Note:
1551:   A hyphen (-) must NOT be given at the beginning of the prefix name.
1552:   The first character of all runtime options is AUTOMATICALLY the
1553:   hyphen.

1555:   Level: advanced

1557: .seealso: [](ch_ksp), `PC`, `PCSetFromOptions`, `PCSetOptionsPrefix()`, `PCGetOptionsPrefix()`
1558: @*/
1559: PetscErrorCode PCAppendOptionsPrefix(PC pc, const char prefix[])
1560: {
1561:   PetscFunctionBegin;
1563:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)pc, prefix));
1564:   PetscFunctionReturn(PETSC_SUCCESS);
1565: }

1567: /*@
1568:   PCGetOptionsPrefix - Gets the prefix used for searching for all
1569:   PC options in the database.

1571:   Not Collective

1573:   Input Parameter:
1574: . pc - the `PC` preconditioner context

1576:   Output Parameter:
1577: . prefix - pointer to the prefix string used, is returned

1579:   Level: advanced

1581: .seealso: [](ch_ksp), `PC`, `PCSetFromOptions`, `PCSetOptionsPrefix()`, `PCAppendOptionsPrefix()`
1582: @*/
1583: PetscErrorCode PCGetOptionsPrefix(PC pc, const char *prefix[])
1584: {
1585:   PetscFunctionBegin;
1587:   PetscAssertPointer(prefix, 2);
1588:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)pc, prefix));
1589:   PetscFunctionReturn(PETSC_SUCCESS);
1590: }

1592: /*
1593:    Indicates the right-hand side will be changed by KSPSolve(), this occurs for a few
1594:   preconditioners including BDDC and Eisentat that transform the equations before applying
1595:   the Krylov methods
1596: */
1597: PETSC_INTERN PetscErrorCode PCPreSolveChangeRHS(PC pc, PetscBool *change)
1598: {
1599:   PetscFunctionBegin;
1601:   PetscAssertPointer(change, 2);
1602:   *change = PETSC_FALSE;
1603:   PetscTryMethod(pc, "PCPreSolveChangeRHS_C", (PC, PetscBool *), (pc, change));
1604:   PetscFunctionReturn(PETSC_SUCCESS);
1605: }

1607: /*@
1608:   PCPreSolve - Optional pre-solve phase, intended for any preconditioner-specific actions that must be performed before
1609:   the iterative solve itself. Used in conjunction with `PCPostSolve()`

1611:   Collective

1613:   Input Parameters:
1614: + pc  - the `PC` preconditioner context
1615: - ksp - the Krylov subspace context

1617:   Level: developer

1619:   Notes:
1620:   `KSPSolve()` calls this directly, so is rarely called by the user.

1622:   Certain preconditioners, such as the `PCType` of `PCEISENSTAT`, change the formulation of the linear system to be solved iteratively.
1623:   This function performs that transformation. `PCPostSolve()` then transforms the system back to its original form after the solve.
1624:   `PCPostSolve()` also transforms the resulting solution of the transformed system to the solution of the original problem.

1626:   `KSPSetPostSolve()` provides an alternative way to provide such transformations.

1628: .seealso: [](ch_ksp), `PC`, `PCPostSolve()`, `KSP`, `PCSetPostSetUp()`, `KSPSetPreSolve()`, `KSPSetPostSolve()`
1629: @*/
1630: PetscErrorCode PCPreSolve(PC pc, KSP ksp)
1631: {
1632:   Vec x, rhs;

1634:   PetscFunctionBegin;
1637:   pc->presolvedone++;
1638:   PetscCheck(pc->presolvedone <= 2, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Cannot embed PCPreSolve() more than twice");
1639:   PetscCall(KSPGetSolution(ksp, &x));
1640:   PetscCall(KSPGetRhs(ksp, &rhs));
1641:   PetscTryTypeMethod(pc, presolve, ksp, rhs, x);
1642:   PetscFunctionReturn(PETSC_SUCCESS);
1643: }

1645: /*@C
1646:   PCSetPostSetUp - Sets function called at the end of `PCSetUp()` to adjust the computed preconditioner

1648:   Logically Collective

1650:   Input Parameters:
1651: + pc        - the preconditioner object
1652: - postsetup - the function to call after `PCSetUp()`

1654:   Calling sequence of `postsetup`:
1655: . pc - the `PC` context

1657:   Level: developer

1659: .seealso: [](ch_ksp), `PC`, `PCSetUp()`
1660: @*/
1661: PetscErrorCode PCSetPostSetUp(PC pc, PetscErrorCode (*postsetup)(PC pc))
1662: {
1663:   PetscFunctionBegin;
1665:   pc->postsetup = postsetup;
1666:   PetscFunctionReturn(PETSC_SUCCESS);
1667: }

1669: /*@
1670:   PCPostSolve - Optional post-solve phase, intended for any
1671:   preconditioner-specific actions that must be performed after
1672:   the iterative solve itself.

1674:   Collective

1676:   Input Parameters:
1677: + pc  - the `PC` preconditioner context
1678: - ksp - the `KSP` Krylov subspace context

1680:   Example Usage:
1681: .vb
1682:     PCPreSolve(pc,ksp);
1683:     KSPSolve(ksp,b,x);
1684:     PCPostSolve(pc,ksp);
1685: .ve

1687:   Level: developer

1689:   Note:
1690:   `KSPSolve()` calls this routine directly, so it is rarely called by the user.

1692: .seealso: [](ch_ksp), `PC`, `KSPSetPostSolve()`, `KSPSetPreSolve()`, `PCPreSolve()`, `KSPSolve()`
1693: @*/
1694: PetscErrorCode PCPostSolve(PC pc, KSP ksp)
1695: {
1696:   Vec x, rhs;

1698:   PetscFunctionBegin;
1701:   pc->presolvedone--;
1702:   PetscCall(KSPGetSolution(ksp, &x));
1703:   PetscCall(KSPGetRhs(ksp, &rhs));
1704:   PetscTryTypeMethod(pc, postsolve, ksp, rhs, x);
1705:   PetscFunctionReturn(PETSC_SUCCESS);
1706: }

1708: /*@
1709:   PCLoad - Loads a `PC` that has been stored in binary  with `PCView()`.

1711:   Collective

1713:   Input Parameters:
1714: + newdm  - the newly loaded `PC`, this needs to have been created with `PCCreate()` or
1715:            some related function before a call to `PCLoad()`.
1716: - viewer - binary file viewer `PETSCVIEWERBINARY`, obtained from `PetscViewerBinaryOpen()`

1718:   Level: intermediate

1720:   Note:
1721:   The type is determined by the data in the file, any `PCType` set into the `PC` before this call is ignored.

1723: .seealso: [](ch_ksp), `PC`, `PetscViewerBinaryOpen()`, `PCView()`, `MatLoad()`, `VecLoad()`, `PETSCVIEWERBINARY`
1724: @*/
1725: PetscErrorCode PCLoad(PC newdm, PetscViewer viewer)
1726: {
1727:   PetscBool isbinary;
1728:   PetscInt  classid;
1729:   char      type[256];

1731:   PetscFunctionBegin;
1734:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
1735:   PetscCheck(isbinary, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerBinaryOpen()");

1737:   PetscCall(PetscViewerBinaryRead(viewer, &classid, 1, NULL, PETSC_INT));
1738:   PetscCheck(classid == PC_FILE_CLASSID, PetscObjectComm((PetscObject)newdm), PETSC_ERR_ARG_WRONG, "Not PC next in file");
1739:   PetscCall(PetscViewerBinaryRead(viewer, type, 256, NULL, PETSC_CHAR));
1740:   PetscCall(PCSetType(newdm, type));
1741:   PetscTryTypeMethod(newdm, load, viewer);
1742:   PetscFunctionReturn(PETSC_SUCCESS);
1743: }

1745: #include <petscdraw.h>
1746: #if defined(PETSC_HAVE_SAWS)
1747: #include <petscviewersaws.h>
1748: #endif

1750: /*@
1751:   PCViewFromOptions - View (print or provide information about) the `PC`, based on options in the options database

1753:   Collective

1755:   Input Parameters:
1756: + A    - the `PC` context
1757: . obj  - Optional object that provides the options prefix
1758: - name - command line option name

1760:   Options Database Key:
1761: . -name [viewertype][:...] - option name and values. See `PetscObjectViewFromOptions()` for the possible arguments

1763:   Level: developer

1765: .seealso: [](ch_ksp), `PC`, `PCView`, `PetscObjectViewFromOptions()`, `PCCreate()`
1766: @*/
1767: PetscErrorCode PCViewFromOptions(PC A, PetscObject obj, const char name[])
1768: {
1769:   PetscFunctionBegin;
1771:   PetscCall(PetscObjectViewFromOptions((PetscObject)A, obj, name));
1772:   PetscFunctionReturn(PETSC_SUCCESS);
1773: }

1775: /*@
1776:   PCView - Prints information about the `PC`

1778:   Collective

1780:   Input Parameters:
1781: + pc     - the `PC` preconditioner context
1782: - viewer - optional `PetscViewer` visualization context

1784:   Level: intermediate

1786:   Notes:
1787:   The available visualization contexts include
1788: +     `PETSC_VIEWER_STDOUT_SELF` - standard output (default)
1789: -     `PETSC_VIEWER_STDOUT_WORLD` - synchronized standard
1790:   output where only the first processor opens
1791:   the file. All other processors send their
1792:   data to the first processor to print.

1794:   The user can open an alternative visualization contexts with
1795:   `PetscViewerASCIIOpen()` (output to a specified file).

1797: .seealso: [](ch_ksp), `PC`, `PetscViewer`, `PetscViewerType`, `KSPView()`, `PetscViewerASCIIOpen()`
1798: @*/
1799: PetscErrorCode PCView(PC pc, PetscViewer viewer)
1800: {
1801:   PCType            cstr;
1802:   PetscViewerFormat format;
1803:   PetscBool         isascii, isstring, isbinary, isdraw, pop = PETSC_FALSE;
1804: #if defined(PETSC_HAVE_SAWS)
1805:   PetscBool issaws;
1806: #endif

1808:   PetscFunctionBegin;
1810:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pc), &viewer));
1812:   PetscCheckSameComm(pc, 1, viewer, 2);

1814:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
1815:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSTRING, &isstring));
1816:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
1817:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
1818: #if defined(PETSC_HAVE_SAWS)
1819:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERSAWS, &issaws));
1820: #endif

1822:   if (isascii) {
1823:     PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)pc, viewer));
1824:     if (!pc->setupcalled) PetscCall(PetscViewerASCIIPrintf(viewer, "  PC has not been set up so information may be incomplete\n"));
1825:     PetscCall(PetscViewerASCIIPushTab(viewer));
1826:     PetscTryTypeMethod(pc, view, viewer);
1827:     PetscCall(PetscViewerASCIIPopTab(viewer));
1828:     if (pc->mat) {
1829:       PetscCall(PetscViewerGetFormat(viewer, &format));
1830:       if (format != PETSC_VIEWER_ASCII_INFO_DETAIL) {
1831:         PetscCall(PetscViewerPushFormat(viewer, PETSC_VIEWER_ASCII_INFO));
1832:         pop = PETSC_TRUE;
1833:       }
1834:       if (pc->pmat == pc->mat) {
1835:         PetscCall(PetscViewerASCIIPrintf(viewer, "  linear system matrix, which is also used to construct the preconditioner:\n"));
1836:         PetscCall(PetscViewerASCIIPushTab(viewer));
1837:         PetscCall(MatView(pc->mat, viewer));
1838:         PetscCall(PetscViewerASCIIPopTab(viewer));
1839:       } else {
1840:         if (pc->pmat) {
1841:           PetscCall(PetscViewerASCIIPrintf(viewer, "  linear system matrix, followed by the matrix used to construct the preconditioner:\n"));
1842:         } else {
1843:           PetscCall(PetscViewerASCIIPrintf(viewer, "  linear system matrix:\n"));
1844:         }
1845:         PetscCall(PetscViewerASCIIPushTab(viewer));
1846:         PetscCall(MatView(pc->mat, viewer));
1847:         if (pc->pmat) PetscCall(MatView(pc->pmat, viewer));
1848:         PetscCall(PetscViewerASCIIPopTab(viewer));
1849:       }
1850:       if (pop) PetscCall(PetscViewerPopFormat(viewer));
1851:     }
1852:   } else if (isstring) {
1853:     PetscCall(PCGetType(pc, &cstr));
1854:     PetscCall(PetscViewerStringSPrintf(viewer, " PCType: %-7.7s", cstr));
1855:     PetscTryTypeMethod(pc, view, viewer);
1856:     if (pc->mat) PetscCall(MatView(pc->mat, viewer));
1857:     if (pc->pmat && pc->pmat != pc->mat) PetscCall(MatView(pc->pmat, viewer));
1858:   } else if (isbinary) {
1859:     PetscInt    classid = PC_FILE_CLASSID;
1860:     MPI_Comm    comm;
1861:     PetscMPIInt rank;
1862:     char        type[256];

1864:     PetscCall(PetscObjectGetComm((PetscObject)pc, &comm));
1865:     PetscCallMPI(MPI_Comm_rank(comm, &rank));
1866:     if (rank == 0) {
1867:       PetscCall(PetscViewerBinaryWrite(viewer, &classid, 1, PETSC_INT));
1868:       PetscCall(PetscStrncpy(type, ((PetscObject)pc)->type_name, 256));
1869:       PetscCall(PetscViewerBinaryWrite(viewer, type, 256, PETSC_CHAR));
1870:     }
1871:     PetscTryTypeMethod(pc, view, viewer);
1872:   } else if (isdraw) {
1873:     PetscDraw draw;
1874:     char      str[25];
1875:     PetscReal x, y, bottom, h;
1876:     PetscInt  n;

1878:     PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
1879:     PetscCall(PetscDrawGetCurrentPoint(draw, &x, &y));
1880:     if (pc->mat) {
1881:       PetscCall(MatGetSize(pc->mat, &n, NULL));
1882:       PetscCall(PetscSNPrintf(str, 25, "PC: %s (%" PetscInt_FMT ")", ((PetscObject)pc)->type_name, n));
1883:     } else {
1884:       PetscCall(PetscSNPrintf(str, 25, "PC: %s", ((PetscObject)pc)->type_name));
1885:     }
1886:     PetscCall(PetscDrawStringBoxed(draw, x, y, PETSC_DRAW_RED, PETSC_DRAW_BLACK, str, NULL, &h));
1887:     bottom = y - h;
1888:     PetscCall(PetscDrawPushCurrentPoint(draw, x, bottom));
1889:     PetscTryTypeMethod(pc, view, viewer);
1890:     PetscCall(PetscDrawPopCurrentPoint(draw));
1891: #if defined(PETSC_HAVE_SAWS)
1892:   } else if (issaws) {
1893:     PetscMPIInt rank;

1895:     PetscCall(PetscObjectName((PetscObject)pc));
1896:     PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
1897:     if (!((PetscObject)pc)->amsmem && rank == 0) PetscCall(PetscObjectViewSAWs((PetscObject)pc, viewer));
1898:     if (pc->mat) PetscCall(MatView(pc->mat, viewer));
1899:     if (pc->pmat && pc->pmat != pc->mat) PetscCall(MatView(pc->pmat, viewer));
1900: #endif
1901:   }
1902:   PetscFunctionReturn(PETSC_SUCCESS);
1903: }

1905: /*@C
1906:   PCRegister -  Adds a method (`PCType`) to the PETSc preconditioner package.

1908:   Not collective. No Fortran Support

1910:   Input Parameters:
1911: + sname    - name of a new user-defined solver
1912: - function - routine to create the method context which will be stored in a `PC` when `PCSetType()` is called

1914:   Example Usage:
1915: .vb
1916:    PCRegister("my_solver", MySolverCreate);
1917: .ve

1919:   Then, your solver can be chosen with the procedural interface via
1920: .vb
1921:   PCSetType(pc, "my_solver")
1922: .ve
1923:   or at runtime via the option
1924: .vb
1925:   -pc_type my_solver
1926: .ve

1928:   Level: advanced

1930:   Note:
1931:   A simpler alternative to using `PCRegister()` for an application specific preconditioner is to use a `PC` of `PCType` `PCSHELL` and
1932:   provide your customizations with `PCShellSetContext()` and `PCShellSetApply()`

1934:   `PCRegister()` may be called multiple times to add several user-defined preconditioners.

1936: .seealso: [](ch_ksp), `PC`, `PCType`, `PCRegisterAll()`, `PCSetType()`, `PCShellSetContext()`, `PCShellSetApply()`, `PCSHELL`
1937: @*/
1938: PetscErrorCode PCRegister(const char sname[], PetscErrorCode (*function)(PC))
1939: {
1940:   PetscFunctionBegin;
1941:   PetscCall(PCInitializePackage());
1942:   PetscCall(PetscFunctionListAdd(&PCList, sname, function));
1943:   PetscFunctionReturn(PETSC_SUCCESS);
1944: }

1946: static PetscErrorCode MatMult_PC(Mat A, Vec X, Vec Y)
1947: {
1948:   PC pc;

1950:   PetscFunctionBegin;
1951:   PetscCall(MatShellGetContext(A, &pc));
1952:   PetscCall(PCApply(pc, X, Y));
1953:   PetscFunctionReturn(PETSC_SUCCESS);
1954: }

1956: /*@
1957:   PCComputeOperator - Computes the explicit preconditioned operator as a matrix `Mat`.

1959:   Collective

1961:   Input Parameters:
1962: + pc      - the `PC` preconditioner object
1963: - mattype - the `MatType` to be used for the operator

1965:   Output Parameter:
1966: . mat - the explicit preconditioned operator

1968:   Level: advanced

1970:   Note:
1971:   This computation is done by applying the operators to columns of the identity matrix.
1972:   This routine is costly in general, and is recommended for use only with relatively small systems.
1973:   Currently, this routine uses a dense matrix format when `mattype` == `NULL`

1975:   Developer Note:
1976:   This should be called `PCCreateExplicitOperator()`

1978: .seealso: [](ch_ksp), `PC`, `KSPComputeOperator()`, `MatType`
1979: @*/
1980: PetscErrorCode PCComputeOperator(PC pc, MatType mattype, Mat *mat)
1981: {
1982:   PetscInt N, M, m, n;
1983:   Mat      A, Apc;

1985:   PetscFunctionBegin;
1987:   PetscAssertPointer(mat, 3);
1988:   PetscCall(PCGetOperators(pc, &A, NULL));
1989:   PetscCall(MatGetLocalSize(A, &m, &n));
1990:   PetscCall(MatGetSize(A, &M, &N));
1991:   PetscCall(MatCreateShell(PetscObjectComm((PetscObject)pc), m, n, M, N, pc, &Apc));
1992:   PetscCall(MatShellSetOperation(Apc, MATOP_MULT, (PetscErrorCodeFn *)MatMult_PC));
1993:   PetscCall(MatComputeOperator(Apc, mattype, mat));
1994:   PetscCall(MatDestroy(&Apc));
1995:   PetscFunctionReturn(PETSC_SUCCESS);
1996: }

1998: /*@
1999:   PCSetCoordinates - sets the coordinates of all the nodes (degrees of freedom in the vector) on the local process

2001:   Collective

2003:   Input Parameters:
2004: + pc     - the `PC` preconditioner context
2005: . dim    - the dimension of the coordinates 1, 2, or 3
2006: . nloc   - the blocked size of the coordinates array
2007: - coords - the coordinates array

2009:   Level: intermediate

2011:   Notes:
2012:   `coords` is an array of the dim coordinates for the nodes on
2013:   the local processor, of size `dim`*`nloc`.
2014:   If there are 108 equations (dofs) on a processor
2015:   for a 3d displacement finite element discretization of elasticity (so
2016:   that there are nloc = 36 = 108/3 nodes) then the array must have 108
2017:   double precision values (ie, 3 * 36).  These x y z coordinates
2018:   should be ordered for nodes 0 to N-1 like so: [ 0.x, 0.y, 0.z, 1.x,
2019:   ... , N-1.z ].

2021:   The information provided here can be used by some preconditioners, such as `PCGAMG`, to produce a better preconditioner.
2022:   See also  `MatSetNearNullSpace()`.

2024: .seealso: [](ch_ksp), `PC`, `MatSetNearNullSpace()`
2025: @*/
2026: PetscErrorCode PCSetCoordinates(PC pc, PetscInt dim, PetscInt nloc, PetscReal coords[])
2027: {
2028:   PetscFunctionBegin;
2031:   PetscTryMethod(pc, "PCSetCoordinates_C", (PC, PetscInt, PetscInt, PetscReal[]), (pc, dim, nloc, coords));
2032:   PetscFunctionReturn(PETSC_SUCCESS);
2033: }

2035: /*@
2036:   PCGetInterpolations - Gets interpolation matrices for all levels (except level 0)

2038:   Logically Collective

2040:   Input Parameter:
2041: . pc - the precondition context

2043:   Output Parameters:
2044: + num_levels     - the number of levels
2045: - interpolations - the interpolation matrices (size of `num_levels`-1)

2047:   Level: advanced

2049:   Developer Note:
2050:   Why is this here instead of in `PCMG` etc?

2052: .seealso: [](ch_ksp), `PC`, `PCMG`, `PCMGGetRestriction()`, `PCMGSetInterpolation()`, `PCMGGetInterpolation()`, `PCGetCoarseOperators()`
2053: @*/
2054: PetscErrorCode PCGetInterpolations(PC pc, PetscInt *num_levels, Mat *interpolations[])
2055: {
2056:   PetscFunctionBegin;
2058:   PetscAssertPointer(num_levels, 2);
2059:   PetscAssertPointer(interpolations, 3);
2060:   PetscUseMethod(pc, "PCGetInterpolations_C", (PC, PetscInt *, Mat *[]), (pc, num_levels, interpolations));
2061:   PetscFunctionReturn(PETSC_SUCCESS);
2062: }

2064: /*@
2065:   PCGetCoarseOperators - Gets coarse operator matrices for all levels (except the finest level)

2067:   Logically Collective

2069:   Input Parameter:
2070: . pc - the precondition context

2072:   Output Parameters:
2073: + num_levels      - the number of levels
2074: - coarseOperators - the coarse operator matrices (size of `num_levels`-1)

2076:   Level: advanced

2078:   Developer Note:
2079:   Why is this here instead of in `PCMG` etc?

2081: .seealso: [](ch_ksp), `PC`, `PCMG`, `PCMGGetRestriction()`, `PCMGSetInterpolation()`, `PCMGGetRScale()`, `PCMGGetInterpolation()`, `PCGetInterpolations()`
2082: @*/
2083: PetscErrorCode PCGetCoarseOperators(PC pc, PetscInt *num_levels, Mat *coarseOperators[])
2084: {
2085:   PetscFunctionBegin;
2087:   PetscAssertPointer(num_levels, 2);
2088:   PetscAssertPointer(coarseOperators, 3);
2089:   PetscUseMethod(pc, "PCGetCoarseOperators_C", (PC, PetscInt *, Mat *[]), (pc, num_levels, coarseOperators));
2090:   PetscFunctionReturn(PETSC_SUCCESS);
2091: }