Actual source code: itfunc.c

  2: /*
  3:       Interface KSP routines that the user calls.
  4: */

  6: #include <private/kspimpl.h>   /*I "petscksp.h" I*/

 10: /*@
 11:    KSPComputeExtremeSingularValues - Computes the extreme singular values
 12:    for the preconditioned operator. Called after or during KSPSolve().

 14:    Not Collective

 16:    Input Parameter:
 17: .  ksp - iterative context obtained from KSPCreate()

 19:    Output Parameters:
 20: .  emin, emax - extreme singular values

 22:    Notes:
 23:    One must call KSPSetComputeSingularValues() before calling KSPSetUp() 
 24:    (or use the option -ksp_compute_eigenvalues) in order for this routine to work correctly.

 26:    Many users may just want to use the monitoring routine
 27:    KSPMonitorSingularValue() (which can be set with option -ksp_monitor_singular_value)
 28:    to print the extreme singular values at each iteration of the linear solve.

 30:    Level: advanced

 32: .keywords: KSP, compute, extreme, singular, values

 34: .seealso: KSPSetComputeSingularValues(), KSPMonitorSingularValue(), KSPComputeEigenvalues()
 35: @*/
 36: PetscErrorCode  KSPComputeExtremeSingularValues(KSP ksp,PetscReal *emax,PetscReal *emin)
 37: {

 44:   if (!ksp->calc_sings) SETERRQ(((PetscObject)ksp)->comm,4,"Singular values not requested before KSPSetUp()");

 46:   if (ksp->ops->computeextremesingularvalues) {
 47:     (*ksp->ops->computeextremesingularvalues)(ksp,emax,emin);
 48:   } else {
 49:     *emin = -1.0;
 50:     *emax = -1.0;
 51:   }
 52:   return(0);
 53: }

 57: /*@
 58:    KSPComputeEigenvalues - Computes the extreme eigenvalues for the
 59:    preconditioned operator. Called after or during KSPSolve().

 61:    Not Collective

 63:    Input Parameter:
 64: +  ksp - iterative context obtained from KSPCreate()
 65: -  n - size of arrays r and c. The number of eigenvalues computed (neig) will, in 
 66:        general, be less than this.

 68:    Output Parameters:
 69: +  r - real part of computed eigenvalues
 70: .  c - complex part of computed eigenvalues
 71: -  neig - number of eigenvalues computed (will be less than or equal to n)

 73:    Options Database Keys:
 74: +  -ksp_compute_eigenvalues - Prints eigenvalues to stdout
 75: -  -ksp_plot_eigenvalues - Plots eigenvalues in an x-window display

 77:    Notes:
 78:    The number of eigenvalues estimated depends on the size of the Krylov space
 79:    generated during the KSPSolve() ; for example, with 
 80:    CG it corresponds to the number of CG iterations, for GMRES it is the number 
 81:    of GMRES iterations SINCE the last restart. Any extra space in r[] and c[]
 82:    will be ignored.

 84:    KSPComputeEigenvalues() does not usually provide accurate estimates; it is
 85:    intended only for assistance in understanding the convergence of iterative 
 86:    methods, not for eigenanalysis. 

 88:    One must call KSPSetComputeEigenvalues() before calling KSPSetUp() 
 89:    in order for this routine to work correctly.

 91:    Many users may just want to use the monitoring routine
 92:    KSPMonitorSingularValue() (which can be set with option -ksp_monitor_singular_value)
 93:    to print the singular values at each iteration of the linear solve.

 95:    Level: advanced

 97: .keywords: KSP, compute, extreme, singular, values

 99: .seealso: KSPSetComputeSingularValues(), KSPMonitorSingularValue(), KSPComputeExtremeSingularValues()
100: @*/
101: PetscErrorCode  KSPComputeEigenvalues(KSP ksp,PetscInt n,PetscReal *r,PetscReal *c,PetscInt *neig)
102: {

110:   if (!ksp->calc_sings) SETERRQ(((PetscObject)ksp)->comm,4,"Eigenvalues not requested before KSPSetUp()");

112:   if (ksp->ops->computeeigenvalues) {
113:     (*ksp->ops->computeeigenvalues)(ksp,n,r,c,neig);
114:   } else {
115:     *neig = 0;
116:   }
117:   return(0);
118: }

122: /*@
123:    KSPSetUpOnBlocks - Sets up the preconditioner for each block in
124:    the block Jacobi, block Gauss-Seidel, and overlapping Schwarz 
125:    methods.

127:    Collective on KSP

129:    Input Parameter:
130: .  ksp - the KSP context

132:    Notes:
133:    KSPSetUpOnBlocks() is a routine that the user can optinally call for
134:    more precise profiling (via -log_summary) of the setup phase for these
135:    block preconditioners.  If the user does not call KSPSetUpOnBlocks(),
136:    it will automatically be called from within KSPSolve().
137:    
138:    Calling KSPSetUpOnBlocks() is the same as calling PCSetUpOnBlocks()
139:    on the PC context within the KSP context.

141:    Level: advanced

143: .keywords: KSP, setup, blocks

145: .seealso: PCSetUpOnBlocks(), KSPSetUp(), PCSetUp()
146: @*/
147: PetscErrorCode  KSPSetUpOnBlocks(KSP ksp)
148: {

153:   if (!ksp->pc) {KSPGetPC(ksp,&ksp->pc);}
154:   PCSetUpOnBlocks(ksp->pc);
155:   return(0);
156: }

160: /*@
161:    KSPSetUp - Sets up the internal data structures for the
162:    later use of an iterative solver.

164:    Collective on KSP

166:    Input Parameter:
167: .  ksp   - iterative context obtained from KSPCreate()

169:    Level: developer

171: .keywords: KSP, setup

173: .seealso: KSPCreate(), KSPSolve(), KSPDestroy()
174: @*/
175: PetscErrorCode  KSPSetUp(KSP ksp)
176: {
178:   PetscBool      ir = PETSC_FALSE,ig = PETSC_FALSE;
179:   Mat            A;
180:   MatStructure   stflg = SAME_NONZERO_PATTERN;

182:   /* PetscBool      im = PETSC_FALSE; */


187:   /* reset the convergence flag from the previous solves */
188:   ksp->reason = KSP_CONVERGED_ITERATING;

190:   if (!((PetscObject)ksp)->type_name){
191:     KSPSetType(ksp,KSPGMRES);
192:   }
193:   KSPSetUpNorms_Private(ksp);

195:   if (ksp->dmActive && !ksp->setupstage) {
196:     /* first time in so build matrix and vector data structures using DM */
197:     if (!ksp->vec_rhs) {DMCreateGlobalVector(ksp->dm,&ksp->vec_rhs);}
198:     if (!ksp->vec_sol) {DMCreateGlobalVector(ksp->dm,&ksp->vec_sol);}
199:     DMCreateMatrix(ksp->dm,MATAIJ,&A);
200:     KSPSetOperators(ksp,A,A,stflg);
201:     PetscObjectDereference((PetscObject)A);
202:   }

204:   if (ksp->dmActive) {
205:     DMHasInitialGuess(ksp->dm,&ig);
206:     if (ig && ksp->setupstage != KSP_SETUP_NEWRHS) {
207:       /* only computes initial guess the first time through */
208:       DMComputeInitialGuess(ksp->dm,ksp->vec_sol);
209:       KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);
210:     }
211:     DMHasFunction(ksp->dm,&ir);
212:     if (ir) {
213:       DMComputeFunction(ksp->dm,PETSC_NULL,ksp->vec_rhs);
214:     }

216:     if (ksp->setupstage != KSP_SETUP_NEWRHS) {
217:       KSPGetOperators(ksp,&A,&A,PETSC_NULL);
218:       DMComputeJacobian(ksp->dm,PETSC_NULL,A,A,&stflg);
219:       KSPSetOperators(ksp,A,A,stflg);
220:     }
221:   }

223:   if (ksp->setupstage == KSP_SETUP_NEWRHS) return(0);
224:   PetscLogEventBegin(KSP_SetUp,ksp,ksp->vec_rhs,ksp->vec_sol,0);

226:   if (!ksp->setupstage) {
227:     (*ksp->ops->setup)(ksp);
228:   }

230:   /* scale the matrix if requested */
231:   if (ksp->dscale) {
232:     Mat         mat,pmat;
233:     PetscScalar *xx;
234:     PetscInt    i,n;
235:     PetscBool   zeroflag = PETSC_FALSE;
236:     if (!ksp->pc) {KSPGetPC(ksp,&ksp->pc);}
237:     PCGetOperators(ksp->pc,&mat,&pmat,PETSC_NULL);
238:     if (!ksp->diagonal) { /* allocate vector to hold diagonal */
239:       MatGetVecs(pmat,&ksp->diagonal,0);
240:     }
241:     MatGetDiagonal(pmat,ksp->diagonal);
242:     VecGetLocalSize(ksp->diagonal,&n);
243:     VecGetArray(ksp->diagonal,&xx);
244:     for (i=0; i<n; i++) {
245:       if (xx[i] != 0.0) xx[i] = 1.0/PetscSqrtReal(PetscAbsScalar(xx[i]));
246:       else {
247:         xx[i]     = 1.0;
248:         zeroflag  = PETSC_TRUE;
249:       }
250:     }
251:     VecRestoreArray(ksp->diagonal,&xx);
252:     if (zeroflag) {
253:       PetscInfo(ksp,"Zero detected in diagonal of matrix, using 1 at those locations\n");
254:     }
255:     MatDiagonalScale(pmat,ksp->diagonal,ksp->diagonal);
256:     if (mat != pmat) {MatDiagonalScale(mat,ksp->diagonal,ksp->diagonal);}
257:     ksp->dscalefix2 = PETSC_FALSE;
258:   }
259:   PetscLogEventEnd(KSP_SetUp,ksp,ksp->vec_rhs,ksp->vec_sol,0);
260:   if (!ksp->pc) {KSPGetPC(ksp,&ksp->pc);}
261:   PCSetUp(ksp->pc);
262:   if (ksp->nullsp) {
263:     PetscBool  test = PETSC_FALSE;
264:     PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_test_null_space",&test,PETSC_NULL);
265:     if (test) {
266:       Mat mat;
267:       PCGetOperators(ksp->pc,&mat,PETSC_NULL,PETSC_NULL);
268:       MatNullSpaceTest(ksp->nullsp,mat,PETSC_NULL);
269:     }
270:   }
271:   ksp->setupstage = KSP_SETUP_NEWRHS;
272:   return(0);
273: }

277: /*@
278:    KSPSolve - Solves linear system.

280:    Collective on KSP

282:    Parameter:
283: +  ksp - iterative context obtained from KSPCreate()
284: .  b - the right hand side vector
285: -  x - the solution  (this may be the same vector as b, then b will be overwritten with answer)

287:    Options Database Keys:
288: +  -ksp_compute_eigenvalues - compute preconditioned operators eigenvalues
289: .  -ksp_plot_eigenvalues - plot the computed eigenvalues in an X-window
290: .  -ksp_compute_eigenvalues_explicitly - compute the eigenvalues by forming the dense operator and useing LAPACK
291: .  -ksp_plot_eigenvalues_explicitly - plot the explicitly computing eigenvalues
292: .  -ksp_view_binary - save matrix and right hand side that define linear system to the default binary viewer (can be
293:                                 read later with src/ksp/examples/tutorials/ex10.c for testing solvers)
294: .  -ksp_converged_reason - print reason for converged or diverged, also prints number of iterations
295: .  -ksp_final_residual - print 2-norm of true linear system residual at the end of the solution process
296: -  -ksp_view - print the ksp data structure at the end of the system solution

298:    Notes:

300:    If one uses KSPSetDM() then x or b need not be passed. Use KSPGetSolution() to access the solution in this case. 

302:    The operator is specified with KSPSetOperators().

304:    Call KSPGetConvergedReason() to determine if the solver converged or failed and 
305:    why. The number of iterations can be obtained from KSPGetIterationNumber().
306:    
307:    If using a direct method (e.g., via the KSP solver
308:    KSPPREONLY and a preconditioner such as PCLU/PCILU),
309:    then its=1.  See KSPSetTolerances() and KSPDefaultConverged()
310:    for more details.

312:    Understanding Convergence:
313:    The routines KSPMonitorSet(), KSPComputeEigenvalues(), and
314:    KSPComputeEigenvaluesExplicitly() provide information on additional
315:    options to monitor convergence and print eigenvalue information.

317:    Level: beginner

319: .keywords: KSP, solve, linear system

321: .seealso: KSPCreate(), KSPSetUp(), KSPDestroy(), KSPSetTolerances(), KSPDefaultConverged(),
322:           KSPSolveTranspose(), KSPGetIterationNumber()
323: @*/
324: PetscErrorCode  KSPSolve(KSP ksp,Vec b,Vec x)
325: {
327:   PetscMPIInt    rank;
328:   PetscBool      flag1,flag2,flg = PETSC_FALSE,inXisinB=PETSC_FALSE,guess_zero;
329:   char           view[10];
330:   char           filename[PETSC_MAX_PATH_LEN];
331:   PetscViewer    viewer;
332: 


339:   if (x && x == b) {
340:     if (!ksp->guess_zero) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_ARG_INCOMP,"Cannot use x == b with nonzero initial guess");
341:     VecDuplicate(b,&x);
342:     inXisinB = PETSC_TRUE;
343:   }
344:   if (b) {
345:     PetscObjectReference((PetscObject)b);
346:     VecDestroy(&ksp->vec_rhs);
347:     ksp->vec_rhs = b;
348:   }
349:   if (x) {
350:     PetscObjectReference((PetscObject)x);
351:     VecDestroy(&ksp->vec_sol);
352:     ksp->vec_sol = x;
353:   }

355:   flag1 = flag2 = PETSC_FALSE;
356:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_view_binary",&flag1,PETSC_NULL);
357:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_view_binary_pre",&flag2,PETSC_NULL);
358:   if (flag1 || flag2) {
359:     Mat         mat,premat;
360:     PetscViewer viewer = PETSC_VIEWER_BINARY_(((PetscObject)ksp)->comm);
361:     PCGetOperators(ksp->pc,&mat,&premat,PETSC_NULL);
362:     if (flag1) {MatView(mat,viewer);}
363:     if (flag2) {MatView(premat,viewer);}
364:     VecView(ksp->vec_rhs,viewer);
365:   }
366:   PetscLogEventBegin(KSP_Solve,ksp,ksp->vec_rhs,ksp->vec_sol,0);

368:   /* reset the residual history list if requested */
369:   if (ksp->res_hist_reset) ksp->res_hist_len = 0;

371:   PetscOptionsGetString(((PetscObject)ksp)->prefix,"-ksp_view_before",view,10,&flg);
372:   if (flg) {
373:     PetscViewer viewer;
374:     PetscViewerASCIIGetStdout(((PetscObject)ksp)->comm,&viewer);
375:     KSPView(ksp,viewer);
376:   }

378:   ksp->transpose_solve = PETSC_FALSE;

380:   if (ksp->guess) {
381:     KSPFischerGuessFormGuess(ksp->guess,ksp->vec_rhs,ksp->vec_sol);
382:     ksp->guess_zero = PETSC_FALSE;
383:   }
384:   /* KSPSetUp() scales the matrix if needed */
385:   KSPSetUp(ksp);
386:   KSPSetUpOnBlocks(ksp);

388:   /* diagonal scale RHS if called for */
389:   if (ksp->dscale) {
390:     VecPointwiseMult(ksp->vec_rhs,ksp->vec_rhs,ksp->diagonal);
391:     /* second time in, but matrix was scaled back to original */
392:     if (ksp->dscalefix && ksp->dscalefix2) {
393:       Mat mat,pmat;

395:       PCGetOperators(ksp->pc,&mat,&pmat,PETSC_NULL);
396:       MatDiagonalScale(pmat,ksp->diagonal,ksp->diagonal);
397:       if (mat != pmat) {MatDiagonalScale(mat,ksp->diagonal,ksp->diagonal);}
398:     }

400:     /*  scale initial guess */
401:     if (!ksp->guess_zero) {
402:       if (!ksp->truediagonal) {
403:         VecDuplicate(ksp->diagonal,&ksp->truediagonal);
404:         VecCopy(ksp->diagonal,ksp->truediagonal);
405:         VecReciprocal(ksp->truediagonal);
406:       }
407:       VecPointwiseMult(ksp->vec_sol,ksp->vec_sol,ksp->truediagonal);
408:     }
409:   }
410:   PCPreSolve(ksp->pc,ksp);

412:   if (ksp->guess_zero) { VecSet(ksp->vec_sol,0.0);}
413:   if (ksp->guess_knoll) {
414:     PCApply(ksp->pc,ksp->vec_rhs,ksp->vec_sol);
415:     KSP_RemoveNullSpace(ksp,ksp->vec_sol);
416:     ksp->guess_zero = PETSC_FALSE;
417:   }

419:   /* can we mark the initial guess as zero for this solve? */
420:   guess_zero = ksp->guess_zero;
421:   if (!ksp->guess_zero) {
422:     PetscReal norm;

424:     VecNormAvailable(ksp->vec_sol,NORM_2,&flg,&norm);
425:     if (flg && !norm) {
426:       ksp->guess_zero = PETSC_TRUE;
427:     }
428:   }
429:   (*ksp->ops->solve)(ksp);
430:   ksp->guess_zero = guess_zero;

432:   if (!ksp->reason) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_PLIB,"Internal error, solver returned without setting converged reason");
433:   if (ksp->printreason) {
434:     PetscViewerASCIIAddTab(PETSC_VIEWER_STDOUT_(((PetscObject)ksp)->comm),((PetscObject)ksp)->tablevel);
435:     if (ksp->reason > 0) {
436:       PetscViewerASCIIPrintf(PETSC_VIEWER_STDOUT_(((PetscObject)ksp)->comm),"Linear solve converged due to %s iterations %D\n",KSPConvergedReasons[ksp->reason],ksp->its);
437:     } else {
438:       PetscViewerASCIIPrintf(PETSC_VIEWER_STDOUT_(((PetscObject)ksp)->comm),"Linear solve did not converge due to %s iterations %D\n",KSPConvergedReasons[ksp->reason],ksp->its);
439:     }
440:     PetscViewerASCIISubtractTab(PETSC_VIEWER_STDOUT_(((PetscObject)ksp)->comm),((PetscObject)ksp)->tablevel);
441:   }
442:   PCPostSolve(ksp->pc,ksp);

444:   /* diagonal scale solution if called for */
445:   if (ksp->dscale) {
446:     VecPointwiseMult(ksp->vec_sol,ksp->vec_sol,ksp->diagonal);
447:     /* unscale right hand side and matrix */
448:     if (ksp->dscalefix) {
449:       Mat mat,pmat;

451:       VecReciprocal(ksp->diagonal);
452:       VecPointwiseMult(ksp->vec_rhs,ksp->vec_rhs,ksp->diagonal);
453:       PCGetOperators(ksp->pc,&mat,&pmat,PETSC_NULL);
454:       MatDiagonalScale(pmat,ksp->diagonal,ksp->diagonal);
455:       if (mat != pmat) {MatDiagonalScale(mat,ksp->diagonal,ksp->diagonal);}
456:       VecReciprocal(ksp->diagonal);
457:       ksp->dscalefix2 = PETSC_TRUE;
458:     }
459:   }
460:   PetscLogEventEnd(KSP_Solve,ksp,ksp->vec_rhs,ksp->vec_sol,0);

462:   if (ksp->guess) {
463:     KSPFischerGuessUpdate(ksp->guess,ksp->vec_sol);
464:   }

466:   MPI_Comm_rank(((PetscObject)ksp)->comm,&rank);

468:   flag1 = PETSC_FALSE;
469:   flag2 = PETSC_FALSE;
470:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_compute_eigenvalues",&flag1,PETSC_NULL);
471:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_plot_eigenvalues",&flag2,PETSC_NULL);
472:   if (flag1 || flag2) {
473:     PetscInt   nits,n,i,neig;
474:     PetscReal *r,*c;
475: 
476:     KSPGetIterationNumber(ksp,&nits);
477:     n = nits+2;

479:     if (!nits) {
480:       PetscPrintf(((PetscObject)ksp)->comm,"Zero iterations in solver, cannot approximate any eigenvalues\n");
481:     } else {
482:       PetscMalloc(2*n*sizeof(PetscReal),&r);
483:       c = r + n;
484:       KSPComputeEigenvalues(ksp,n,r,c,&neig);
485:       if (flag1) {
486:         PetscPrintf(((PetscObject)ksp)->comm,"Iteratively computed eigenvalues\n");
487:         for (i=0; i<neig; i++) {
488:           if (c[i] >= 0.0) {PetscPrintf(((PetscObject)ksp)->comm,"%G + %Gi\n",r[i],c[i]);}
489:           else             {PetscPrintf(((PetscObject)ksp)->comm,"%G - %Gi\n",r[i],-c[i]);}
490:         }
491:       }
492:       if (flag2 && !rank) {
493:         PetscDraw   draw;
494:         PetscDrawSP drawsp;

496:         PetscViewerDrawOpen(PETSC_COMM_SELF,0,"Iteratively Computed Eigenvalues",PETSC_DECIDE,PETSC_DECIDE,300,300,&viewer);
497:         PetscViewerDrawGetDraw(viewer,0,&draw);
498:         PetscDrawSPCreate(draw,1,&drawsp);
499:         for (i=0; i<neig; i++) {
500:           PetscDrawSPAddPoint(drawsp,r+i,c+i);
501:         }
502:         PetscDrawSPDraw(drawsp);
503:         PetscDrawSPDestroy(&drawsp);
504:         PetscViewerDestroy(&viewer);
505:       }
506:       PetscFree(r);
507:     }
508:   }

510:   flag1 = PETSC_FALSE;
511:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_compute_singularvalues",&flag1,PETSC_NULL);
512:   if (flag1) {
513:     PetscInt   nits;

515:     KSPGetIterationNumber(ksp,&nits);
516:     if (!nits) {
517:       PetscPrintf(((PetscObject)ksp)->comm,"Zero iterations in solver, cannot approximate any singular values\n");
518:     } else {
519:       PetscReal emax,emin;

521:       KSPComputeExtremeSingularValues(ksp,&emax,&emin);
522:       PetscPrintf(((PetscObject)ksp)->comm,"Iteratively computed extreme singular values: max %G min %G max/min %G\n",emax,emin,emax/emin);
523:     }
524:   }


527:   flag1 = PETSC_FALSE;
528:   flag2 = PETSC_FALSE;
529:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_compute_eigenvalues_explicitly",&flag1,PETSC_NULL);
530:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_plot_eigenvalues_explicitly",&flag2,PETSC_NULL);
531:   if (flag1 || flag2) {
532:     PetscInt  n,i;
533:     PetscReal *r,*c;
534:     VecGetSize(ksp->vec_sol,&n);
535:     PetscMalloc2(n,PetscReal,&r,n,PetscReal,&c);
536:     KSPComputeEigenvaluesExplicitly(ksp,n,r,c);
537:     if (flag1) {
538:       PetscPrintf(((PetscObject)ksp)->comm,"Explicitly computed eigenvalues\n");
539:       for (i=0; i<n; i++) {
540:         if (c[i] >= 0.0) {PetscPrintf(((PetscObject)ksp)->comm,"%G + %Gi\n",r[i],c[i]);}
541:         else             {PetscPrintf(((PetscObject)ksp)->comm,"%G - %Gi\n",r[i],-c[i]);}
542:       }
543:     }
544:     if (flag2 && !rank) {
545:       PetscDraw   draw;
546:       PetscDrawSP drawsp;

548:       PetscViewerDrawOpen(PETSC_COMM_SELF,0,"Explicitly Computed Eigenvalues",0,320,300,300,&viewer);
549:       PetscViewerDrawGetDraw(viewer,0,&draw);
550:       PetscDrawSPCreate(draw,1,&drawsp);
551:       for (i=0; i<n; i++) {
552:         PetscDrawSPAddPoint(drawsp,r+i,c+i);
553:       }
554:       PetscDrawSPDraw(drawsp);
555:       PetscDrawSPDestroy(&drawsp);
556:       PetscViewerDestroy(&viewer);
557:     }
558:     PetscFree2(r,c);
559:   }

561:   flag2 = PETSC_FALSE;
562:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_view_operator",&flag2,PETSC_NULL);
563:   if (flag2) {
564:     Mat         A,B;
565:     PetscViewer viewer;

567:     PCGetOperators(ksp->pc,&A,PETSC_NULL,PETSC_NULL);
568:     MatComputeExplicitOperator(A,&B);
569:     PetscViewerASCIIGetStdout(((PetscObject)ksp)->comm,&viewer);
570:     PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);
571:     MatView(B,viewer);
572:     PetscViewerPopFormat(viewer);
573:     MatDestroy(&B);
574:   }
575:   flag2 = PETSC_FALSE;
576:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_view_operator_binary",&flag2,PETSC_NULL);
577:   if (flag2) {
578:     Mat A,B;
579:     PCGetOperators(ksp->pc,&A,PETSC_NULL,PETSC_NULL);
580:     MatComputeExplicitOperator(A,&B);
581:     MatView(B,PETSC_VIEWER_BINARY_(((PetscObject)ksp)->comm));
582:     MatDestroy(&B);
583:   }
584:   flag2 = PETSC_FALSE;
585:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_view_preconditioned_operator_binary",&flag2,PETSC_NULL);
586:   if (flag2) {
587:     Mat B;
588:     KSPComputeExplicitOperator(ksp,&B);
589:     MatView(B,PETSC_VIEWER_BINARY_(((PetscObject)ksp)->comm));
590:     MatDestroy(&B);
591:   }
592:   flag2 = PETSC_FALSE;
593:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_view_preconditioner_binary",&flag2,PETSC_NULL);
594:   if (flag2) {
595:     Mat B;
596:     PCComputeExplicitOperator(ksp->pc,&B);
597:     MatView(B,PETSC_VIEWER_BINARY_(((PetscObject)ksp)->comm));
598:     MatDestroy(&B);
599:   }
600:   PetscOptionsGetString(((PetscObject)ksp)->prefix,"-ksp_view",filename,PETSC_MAX_PATH_LEN,&flg);
601:   if (flg && !PetscPreLoadingOn) {
602:     PetscViewerASCIIOpen(((PetscObject)ksp)->comm,filename,&viewer);
603:     KSPView(ksp,viewer);
604:     PetscViewerDestroy(&viewer);
605:   }
606:   flg  = PETSC_FALSE;
607:   PetscOptionsGetBool(((PetscObject)ksp)->prefix,"-ksp_final_residual",&flg,PETSC_NULL);
608:   if (flg) {
609:     Mat         A;
610:     Vec         t;
611:     PetscReal   norm;
612:     if (ksp->dscale && !ksp->dscalefix) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_ARG_WRONGSTATE,"Cannot compute final scale with -ksp_diagonal_scale except also with -ksp_diagonal_scale_fix");
613:     PCGetOperators(ksp->pc,&A,0,0);
614:     VecDuplicate(ksp->vec_sol,&t);
615:     KSP_MatMult(ksp,A,ksp->vec_sol,t);
616:     VecAYPX(t, -1.0, ksp->vec_rhs);
617:     VecNorm(t,NORM_2,&norm);
618:     VecDestroy(&t);
619:     PetscPrintf(((PetscObject)ksp)->comm,"KSP final norm of residual %G\n",norm);
620:   }
621:   if (inXisinB) {
622:     VecCopy(x,b);
623:     VecDestroy(&x);
624:   }
625:   if (ksp->errorifnotconverged && ksp->reason < 0) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_NOT_CONVERGED,"KSPSolve has not converged");
626:   return(0);
627: }

631: /*@
632:    KSPSolveTranspose - Solves the transpose of a linear system. 

634:    Collective on KSP

636:    Input Parameter:
637: +  ksp - iterative context obtained from KSPCreate()
638: .  b - right hand side vector
639: -  x - solution vector

641:    Notes: For complex numbers this solve the non-Hermitian transpose system.

643:    Developer Notes: We need to implement a KSPSolveHermitianTranspose()

645:    Level: developer

647: .keywords: KSP, solve, linear system

649: .seealso: KSPCreate(), KSPSetUp(), KSPDestroy(), KSPSetTolerances(), KSPDefaultConverged(),
650:           KSPSolve()
651: @*/

653: PetscErrorCode  KSPSolveTranspose(KSP ksp,Vec b,Vec x)
654: {
656:   PetscBool      inXisinB=PETSC_FALSE;

662:   if (x == b) {
663:     VecDuplicate(b,&x);
664:     inXisinB = PETSC_TRUE;
665:   }
666:   PetscObjectReference((PetscObject)b);
667:   PetscObjectReference((PetscObject)x);
668:   VecDestroy(&ksp->vec_rhs);
669:   VecDestroy(&ksp->vec_sol);
670:   ksp->vec_rhs = b;
671:   ksp->vec_sol = x;
672:   ksp->transpose_solve = PETSC_TRUE;
673:   KSPSetUp(ksp);
674:   if (ksp->guess_zero) { VecSet(ksp->vec_sol,0.0);}
675:   (*ksp->ops->solve)(ksp);
676:   if (!ksp->reason) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_PLIB,"Internal error, solver returned without setting converged reason");
677:   if (ksp->printreason) {
678:     if (ksp->reason > 0) {
679:       PetscPrintf(((PetscObject)ksp)->comm,"Linear solve converged due to %s iterations %D\n",KSPConvergedReasons[ksp->reason],ksp->its);
680:     } else {
681:       PetscPrintf(((PetscObject)ksp)->comm,"Linear solve did not converge due to %s iterations %D\n",KSPConvergedReasons[ksp->reason],ksp->its);
682:     }
683:   }
684:   if (inXisinB) {
685:     VecCopy(x,b);
686:     VecDestroy(&x);
687:   }
688:   if (ksp->errorifnotconverged && ksp->reason < 0) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_NOT_CONVERGED,"KSPSolve has not converged");
689:   return(0);
690: }

694: /*@
695:    KSPReset - Resets a KSP context to the kspsetupcalled = 0 state and removes any allocated Vecs and Mats

697:    Collective on KSP

699:    Input Parameter:
700: .  ksp - iterative context obtained from KSPCreate()

702:    Level: beginner

704: .keywords: KSP, destroy

706: .seealso: KSPCreate(), KSPSetUp(), KSPSolve()
707: @*/
708: PetscErrorCode  KSPReset(KSP ksp)
709: {

714:   if (!ksp) return(0);
715:   if (ksp->ops->reset) {
716:     (*ksp->ops->reset)(ksp);
717:   }
718:   if (ksp->pc) {PCReset(ksp->pc);}
719:   KSPFischerGuessDestroy(&ksp->guess);
720:   VecDestroyVecs(ksp->nwork,&ksp->work);
721:   VecDestroy(&ksp->vec_rhs);
722:   VecDestroy(&ksp->vec_sol);
723:   VecDestroy(&ksp->diagonal);
724:   VecDestroy(&ksp->truediagonal);
725:   MatNullSpaceDestroy(&ksp->nullsp);
726:   ksp->setupstage = KSP_SETUP_NEW;
727:   return(0);
728: }

732: /*@
733:    KSPDestroy - Destroys KSP context.

735:    Collective on KSP

737:    Input Parameter:
738: .  ksp - iterative context obtained from KSPCreate()

740:    Level: beginner

742: .keywords: KSP, destroy

744: .seealso: KSPCreate(), KSPSetUp(), KSPSolve()
745: @*/
746: PetscErrorCode  KSPDestroy(KSP *ksp)
747: {

751:   if (!*ksp) return(0);
753:   if (--((PetscObject)(*ksp))->refct > 0) {*ksp = 0; return(0);}

755:   KSPReset((*ksp));

757:   PetscObjectDepublish((*ksp));
758:   if ((*ksp)->ops->destroy) {(*(*ksp)->ops->destroy)(*ksp);}

760:   DMDestroy(&(*ksp)->dm);
761:   PCDestroy(&(*ksp)->pc);
762:   PetscFree((*ksp)->res_hist_alloc);
763:   if ((*ksp)->convergeddestroy) {
764:     (*(*ksp)->convergeddestroy)((*ksp)->cnvP);
765:   }
766:   KSPMonitorCancel((*ksp));
767:   PetscHeaderDestroy(ksp);
768:   return(0);
769: }

773: /*@
774:     KSPSetPCSide - Sets the preconditioning side.

776:     Logically Collective on KSP

778:     Input Parameter:
779: .   ksp - iterative context obtained from KSPCreate()

781:     Output Parameter:
782: .   side - the preconditioning side, where side is one of
783: .vb
784:       PC_LEFT - left preconditioning (default)
785:       PC_RIGHT - right preconditioning
786:       PC_SYMMETRIC - symmetric preconditioning
787: .ve

789:     Options Database Keys:
790: .   -ksp_pc_side <right,left,symmetric>

792:     Notes:
793:     Left preconditioning is used by default for most Krylov methods except KSPFGMRES which only supports right preconditioning.
794:     Symmetric preconditioning is currently available only for the KSPQCG method. Note, however, that
795:     symmetric preconditioning can be emulated by using either right or left
796:     preconditioning and a pre or post processing step.

798:     Level: intermediate

800: .keywords: KSP, set, right, left, symmetric, side, preconditioner, flag

802: .seealso: KSPGetPCSide()
803: @*/
804: PetscErrorCode  KSPSetPCSide(KSP ksp,PCSide side)
805: {
809:   ksp->pc_side = side;
810:   return(0);
811: }

815: /*@
816:     KSPGetPCSide - Gets the preconditioning side.

818:     Not Collective

820:     Input Parameter:
821: .   ksp - iterative context obtained from KSPCreate()

823:     Output Parameter:
824: .   side - the preconditioning side, where side is one of
825: .vb
826:       PC_LEFT - left preconditioning (default)
827:       PC_RIGHT - right preconditioning
828:       PC_SYMMETRIC - symmetric preconditioning
829: .ve

831:     Level: intermediate

833: .keywords: KSP, get, right, left, symmetric, side, preconditioner, flag

835: .seealso: KSPSetPCSide()
836: @*/
837: PetscErrorCode  KSPGetPCSide(KSP ksp,PCSide *side)
838: {

844:   KSPSetUpNorms_Private(ksp);
845:   *side = ksp->pc_side;
846:   return(0);
847: }

851: /*@
852:    KSPGetTolerances - Gets the relative, absolute, divergence, and maximum
853:    iteration tolerances used by the default KSP convergence tests. 

855:    Not Collective

857:    Input Parameter:
858: .  ksp - the Krylov subspace context
859:   
860:    Output Parameters:
861: +  rtol - the relative convergence tolerance
862: .  abstol - the absolute convergence tolerance
863: .  dtol - the divergence tolerance
864: -  maxits - maximum number of iterations

866:    Notes:
867:    The user can specify PETSC_NULL for any parameter that is not needed.

869:    Level: intermediate

871: .keywords: KSP, get, tolerance, absolute, relative, divergence, convergence,
872:            maximum, iterations

874: .seealso: KSPSetTolerances()
875: @*/
876: PetscErrorCode  KSPGetTolerances(KSP ksp,PetscReal *rtol,PetscReal *abstol,PetscReal *dtol,PetscInt *maxits)
877: {
880:   if (abstol)   *abstol   = ksp->abstol;
881:   if (rtol)   *rtol   = ksp->rtol;
882:   if (dtol)   *dtol   = ksp->divtol;
883:   if (maxits) *maxits = ksp->max_it;
884:   return(0);
885: }

889: /*@
890:    KSPSetTolerances - Sets the relative, absolute, divergence, and maximum
891:    iteration tolerances used by the default KSP convergence testers. 

893:    Logically Collective on KSP

895:    Input Parameters:
896: +  ksp - the Krylov subspace context
897: .  rtol - the relative convergence tolerance
898:    (relative decrease in the residual norm)
899: .  abstol - the absolute convergence tolerance 
900:    (absolute size of the residual norm)
901: .  dtol - the divergence tolerance
902:    (amount residual can increase before KSPDefaultConverged()
903:    concludes that the method is diverging)
904: -  maxits - maximum number of iterations to use

906:    Options Database Keys:
907: +  -ksp_atol <abstol> - Sets abstol
908: .  -ksp_rtol <rtol> - Sets rtol
909: .  -ksp_divtol <dtol> - Sets dtol
910: -  -ksp_max_it <maxits> - Sets maxits

912:    Notes:
913:    Use PETSC_DEFAULT to retain the default value of any of the tolerances.

915:    See KSPDefaultConverged() for details on the use of these parameters
916:    in the default convergence test.  See also KSPSetConvergenceTest() 
917:    for setting user-defined stopping criteria.

919:    Level: intermediate

921: .keywords: KSP, set, tolerance, absolute, relative, divergence, 
922:            convergence, maximum, iterations

924: .seealso: KSPGetTolerances(), KSPDefaultConverged(), KSPSetConvergenceTest()
925: @*/
926: PetscErrorCode  KSPSetTolerances(KSP ksp,PetscReal rtol,PetscReal abstol,PetscReal dtol,PetscInt maxits)
927: {

935:   if (rtol != PETSC_DEFAULT) {
936:     if (rtol < 0.0 || 1.0 <= rtol) SETERRQ1(((PetscObject)ksp)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Relative tolerance %G must be non-negative and less than 1.0",rtol);        ksp->rtol = rtol;
937:   }
938:   if (abstol != PETSC_DEFAULT) {
939:     if (abstol < 0.0) SETERRQ1(((PetscObject)ksp)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Absolute tolerance %G must be non-negative",abstol);
940:     ksp->abstol = abstol;
941:   }
942:   if (dtol != PETSC_DEFAULT) {
943:     if (dtol < 0.0) SETERRQ1(((PetscObject)ksp)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Divergence tolerance %G must be larger than 1.0",dtol);
944:     ksp->divtol = dtol;
945:   }
946:   if (maxits != PETSC_DEFAULT) {
947:     if (maxits < 0) SETERRQ1(((PetscObject)ksp)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Maximum number of iterations %D must be non-negative",maxits);
948:     ksp->max_it = maxits;
949:   }
950:   return(0);
951: }

955: /*@
956:    KSPSetInitialGuessNonzero - Tells the iterative solver that the 
957:    initial guess is nonzero; otherwise KSP assumes the initial guess
958:    is to be zero (and thus zeros it out before solving).

960:    Logically Collective on KSP

962:    Input Parameters:
963: +  ksp - iterative context obtained from KSPCreate()
964: -  flg - PETSC_TRUE indicates the guess is non-zero, PETSC_FALSE indicates the guess is zero

966:    Options database keys:
967: .  -ksp_initial_guess_nonzero : use nonzero initial guess; this takes an optional truth value (0/1/no/yes/true/false)

969:    Level: beginner

971:    Notes:
972:     If this is not called the X vector is zeroed in the call to KSPSolve().

974: .keywords: KSP, set, initial guess, nonzero

976: .seealso: KSPGetInitialGuessNonzero(), KSPSetInitialGuessKnoll(), KSPGetInitialGuessKnoll()
977: @*/
978: PetscErrorCode  KSPSetInitialGuessNonzero(KSP ksp,PetscBool  flg)
979: {
983:   ksp->guess_zero   = (PetscBool)!(int)flg;
984:   return(0);
985: }

989: /*@
990:    KSPGetInitialGuessNonzero - Determines whether the KSP solver is using
991:    a zero initial guess.

993:    Not Collective

995:    Input Parameter:
996: .  ksp - iterative context obtained from KSPCreate()

998:    Output Parameter:
999: .  flag - PETSC_TRUE if guess is nonzero, else PETSC_FALSE

1001:    Level: intermediate

1003: .keywords: KSP, set, initial guess, nonzero

1005: .seealso: KSPSetInitialGuessNonzero(), KSPSetInitialGuessKnoll(), KSPGetInitialGuessKnoll()
1006: @*/
1007: PetscErrorCode  KSPGetInitialGuessNonzero(KSP ksp,PetscBool  *flag)
1008: {
1012:   if (ksp->guess_zero) *flag = PETSC_FALSE;
1013:   else                 *flag = PETSC_TRUE;
1014:   return(0);
1015: }

1019: /*@
1020:    KSPSetErrorIfNotConverged - Causes KSPSolve() to generate an error if the solver has not converged.

1022:    Logically Collective on KSP

1024:    Input Parameters:
1025: +  ksp - iterative context obtained from KSPCreate()
1026: -  flg - PETSC_TRUE indicates you want the error generated

1028:    Options database keys:
1029: .  -ksp_error_if_not_converged : this takes an optional truth value (0/1/no/yes/true/false)

1031:    Level: intermediate

1033:    Notes:
1034:     Normally PETSc continues if a linear solver fails to converge, you can call KSPGetConvergedReason() after a KSPSolve() 
1035:     to determine if it has converged.

1037: .keywords: KSP, set, initial guess, nonzero

1039: .seealso: KSPGetInitialGuessNonzero(), KSPSetInitialGuessKnoll(), KSPGetInitialGuessKnoll(), KSPGetErrorIfNotConverged()
1040: @*/
1041: PetscErrorCode  KSPSetErrorIfNotConverged(KSP ksp,PetscBool  flg)
1042: {
1046:   ksp->errorifnotconverged = flg;
1047:   return(0);
1048: }

1052: /*@
1053:    KSPGetErrorIfNotConverged - Will KSPSolve() generate an error if the solver does not converge?

1055:    Not Collective

1057:    Input Parameter:
1058: .  ksp - iterative context obtained from KSPCreate()

1060:    Output Parameter:
1061: .  flag - PETSC_TRUE if it will generate an error, else PETSC_FALSE

1063:    Level: intermediate

1065: .keywords: KSP, set, initial guess, nonzero

1067: .seealso: KSPSetInitialGuessNonzero(), KSPSetInitialGuessKnoll(), KSPGetInitialGuessKnoll(), KSPSetErrorIfNotConverged()
1068: @*/
1069: PetscErrorCode  KSPGetErrorIfNotConverged(KSP ksp,PetscBool  *flag)
1070: {
1074:   *flag = ksp->errorifnotconverged;
1075:   return(0);
1076: }

1080: /*@
1081:    KSPSetInitialGuessKnoll - Tells the iterative solver to use PCApply(pc,b,..) to compute the initial guess (The Knoll trick)

1083:    Logically Collective on KSP

1085:    Input Parameters:
1086: +  ksp - iterative context obtained from KSPCreate()
1087: -  flg - PETSC_TRUE or PETSC_FALSE

1089:    Level: advanced


1092: .keywords: KSP, set, initial guess, nonzero

1094: .seealso: KSPGetInitialGuessKnoll(), KSPSetInitialGuessNonzero(), KSPGetInitialGuessNonzero()
1095: @*/
1096: PetscErrorCode  KSPSetInitialGuessKnoll(KSP ksp,PetscBool  flg)
1097: {
1101:   ksp->guess_knoll   = flg;
1102:   return(0);
1103: }

1107: /*@
1108:    KSPGetInitialGuessKnoll - Determines whether the KSP solver is using the Knoll trick (using PCApply(pc,b,...) to compute
1109:      the initial guess

1111:    Not Collective

1113:    Input Parameter:
1114: .  ksp - iterative context obtained from KSPCreate()

1116:    Output Parameter:
1117: .  flag - PETSC_TRUE if using Knoll trick, else PETSC_FALSE

1119:    Level: advanced

1121: .keywords: KSP, set, initial guess, nonzero

1123: .seealso: KSPSetInitialGuessKnoll(), KSPSetInitialGuessNonzero(), KSPGetInitialGuessNonzero()
1124: @*/
1125: PetscErrorCode  KSPGetInitialGuessKnoll(KSP ksp,PetscBool  *flag)
1126: {
1130:   *flag = ksp->guess_knoll;
1131:   return(0);
1132: }

1136: /*@
1137:    KSPGetComputeSingularValues - Gets the flag indicating whether the extreme singular 
1138:    values will be calculated via a Lanczos or Arnoldi process as the linear 
1139:    system is solved.

1141:    Not Collective

1143:    Input Parameter:
1144: .  ksp - iterative context obtained from KSPCreate()

1146:    Output Parameter:
1147: .  flg - PETSC_TRUE or PETSC_FALSE

1149:    Options Database Key:
1150: .  -ksp_monitor_singular_value - Activates KSPSetComputeSingularValues()

1152:    Notes:
1153:    Currently this option is not valid for all iterative methods.

1155:    Many users may just want to use the monitoring routine
1156:    KSPMonitorSingularValue() (which can be set with option -ksp_monitor_singular_value)
1157:    to print the singular values at each iteration of the linear solve.

1159:    Level: advanced

1161: .keywords: KSP, set, compute, singular values

1163: .seealso: KSPComputeExtremeSingularValues(), KSPMonitorSingularValue()
1164: @*/
1165: PetscErrorCode  KSPGetComputeSingularValues(KSP ksp,PetscBool  *flg)
1166: {
1170:   *flg = ksp->calc_sings;
1171:   return(0);
1172: }

1176: /*@
1177:    KSPSetComputeSingularValues - Sets a flag so that the extreme singular 
1178:    values will be calculated via a Lanczos or Arnoldi process as the linear 
1179:    system is solved.

1181:    Logically Collective on KSP

1183:    Input Parameters:
1184: +  ksp - iterative context obtained from KSPCreate()
1185: -  flg - PETSC_TRUE or PETSC_FALSE

1187:    Options Database Key:
1188: .  -ksp_monitor_singular_value - Activates KSPSetComputeSingularValues()

1190:    Notes:
1191:    Currently this option is not valid for all iterative methods.

1193:    Many users may just want to use the monitoring routine
1194:    KSPMonitorSingularValue() (which can be set with option -ksp_monitor_singular_value)
1195:    to print the singular values at each iteration of the linear solve.

1197:    Level: advanced

1199: .keywords: KSP, set, compute, singular values

1201: .seealso: KSPComputeExtremeSingularValues(), KSPMonitorSingularValue()
1202: @*/
1203: PetscErrorCode  KSPSetComputeSingularValues(KSP ksp,PetscBool  flg)
1204: {
1208:   ksp->calc_sings  = flg;
1209:   return(0);
1210: }

1214: /*@
1215:    KSPGetComputeEigenvalues - Gets the flag indicating that the extreme eigenvalues
1216:    values will be calculated via a Lanczos or Arnoldi process as the linear 
1217:    system is solved.

1219:    Not Collective

1221:    Input Parameter:
1222: .  ksp - iterative context obtained from KSPCreate()

1224:    Output Parameter:
1225: .  flg - PETSC_TRUE or PETSC_FALSE

1227:    Notes:
1228:    Currently this option is not valid for all iterative methods.

1230:    Level: advanced

1232: .keywords: KSP, set, compute, eigenvalues

1234: .seealso: KSPComputeEigenvalues(), KSPComputeEigenvaluesExplicitly()
1235: @*/
1236: PetscErrorCode  KSPGetComputeEigenvalues(KSP ksp,PetscBool  *flg)
1237: {
1241:   *flg = ksp->calc_sings;
1242:   return(0);
1243: }

1247: /*@
1248:    KSPSetComputeEigenvalues - Sets a flag so that the extreme eigenvalues
1249:    values will be calculated via a Lanczos or Arnoldi process as the linear 
1250:    system is solved.

1252:    Logically Collective on KSP

1254:    Input Parameters:
1255: +  ksp - iterative context obtained from KSPCreate()
1256: -  flg - PETSC_TRUE or PETSC_FALSE

1258:    Notes:
1259:    Currently this option is not valid for all iterative methods.

1261:    Level: advanced

1263: .keywords: KSP, set, compute, eigenvalues

1265: .seealso: KSPComputeEigenvalues(), KSPComputeEigenvaluesExplicitly()
1266: @*/
1267: PetscErrorCode  KSPSetComputeEigenvalues(KSP ksp,PetscBool  flg)
1268: {
1272:   ksp->calc_sings  = flg;
1273:   return(0);
1274: }

1278: /*@
1279:    KSPGetRhs - Gets the right-hand-side vector for the linear system to
1280:    be solved.

1282:    Not Collective

1284:    Input Parameter:
1285: .  ksp - iterative context obtained from KSPCreate()

1287:    Output Parameter:
1288: .  r - right-hand-side vector

1290:    Level: developer

1292: .keywords: KSP, get, right-hand-side, rhs

1294: .seealso: KSPGetSolution(), KSPSolve()
1295: @*/
1296: PetscErrorCode  KSPGetRhs(KSP ksp,Vec *r)
1297: {
1301:   *r = ksp->vec_rhs;
1302:   return(0);
1303: }

1307: /*@
1308:    KSPGetSolution - Gets the location of the solution for the 
1309:    linear system to be solved.  Note that this may not be where the solution
1310:    is stored during the iterative process; see KSPBuildSolution().

1312:    Not Collective

1314:    Input Parameters:
1315: .  ksp - iterative context obtained from KSPCreate()

1317:    Output Parameters:
1318: .  v - solution vector

1320:    Level: developer

1322: .keywords: KSP, get, solution

1324: .seealso: KSPGetRhs(),  KSPBuildSolution(), KSPSolve()
1325: @*/
1326: PetscErrorCode  KSPGetSolution(KSP ksp,Vec *v)
1327: {
1331:   *v = ksp->vec_sol;
1332:   return(0);
1333: }

1337: /*@
1338:    KSPSetPC - Sets the preconditioner to be used to calculate the 
1339:    application of the preconditioner on a vector. 

1341:    Collective on KSP

1343:    Input Parameters:
1344: +  ksp - iterative context obtained from KSPCreate()
1345: -  pc   - the preconditioner object

1347:    Notes:
1348:    Use KSPGetPC() to retrieve the preconditioner context (for example,
1349:    to free it at the end of the computations).

1351:    Level: developer

1353: .keywords: KSP, set, precondition, Binv

1355: .seealso: KSPGetPC()
1356: @*/
1357: PetscErrorCode  KSPSetPC(KSP ksp,PC pc)
1358: {

1365:   PetscObjectReference((PetscObject)pc);
1366:   PCDestroy(&ksp->pc);
1367:   ksp->pc = pc;
1368:   PetscLogObjectParent(ksp,ksp->pc);
1369:   return(0);
1370: }

1374: /*@
1375:    KSPGetPC - Returns a pointer to the preconditioner context
1376:    set with KSPSetPC().

1378:    Not Collective

1380:    Input Parameters:
1381: .  ksp - iterative context obtained from KSPCreate()

1383:    Output Parameter:
1384: .  pc - preconditioner context

1386:    Level: developer

1388: .keywords: KSP, get, preconditioner, Binv

1390: .seealso: KSPSetPC()
1391: @*/
1392: PetscErrorCode  KSPGetPC(KSP ksp,PC *pc)
1393: {

1399:   if (!ksp->pc) {
1400:     PCCreate(((PetscObject)ksp)->comm,&ksp->pc);
1401:     PetscObjectIncrementTabLevel((PetscObject)ksp->pc,(PetscObject)ksp,0);
1402:     PetscLogObjectParent(ksp,ksp->pc);
1403:   }
1404:   *pc = ksp->pc;
1405:   return(0);
1406: }

1410: /*@
1411:    KSPMonitor - runs the user provided monitor routines, if they exist

1413:    Collective on KSP

1415:    Input Parameters:
1416: +  ksp - iterative context obtained from KSPCreate()
1417: .  it - iteration number
1418: -  rnorm - relative norm of the residual

1420:    Notes:
1421:    This routine is called by the KSP implementations.
1422:    It does not typically need to be called by the user.

1424:    Level: developer

1426: .seealso: KSPMonitorSet()
1427: @*/
1428: PetscErrorCode KSPMonitor(KSP ksp,PetscInt it,PetscReal rnorm)
1429: {
1430:   PetscInt       i, n = ksp->numbermonitors;

1434:   for (i=0; i<n; i++) {
1435:     (*ksp->monitor[i])(ksp,it,rnorm,ksp->monitorcontext[i]);
1436:   }
1437:   return(0);
1438: }

1442: /*@C
1443:    KSPMonitorSet - Sets an ADDITIONAL function to be called at every iteration to monitor 
1444:    the residual/error etc.
1445:       
1446:    Logically Collective on KSP

1448:    Input Parameters:
1449: +  ksp - iterative context obtained from KSPCreate()
1450: .  monitor - pointer to function (if this is PETSC_NULL, it turns off monitoring
1451: .  mctx    - [optional] context for private data for the
1452:              monitor routine (use PETSC_NULL if no context is desired)
1453: -  monitordestroy - [optional] routine that frees monitor context
1454:           (may be PETSC_NULL)

1456:    Calling Sequence of monitor:
1457: $     monitor (KSP ksp, int it, PetscReal rnorm, void *mctx)

1459: +  ksp - iterative context obtained from KSPCreate()
1460: .  it - iteration number
1461: .  rnorm - (estimated) 2-norm of (preconditioned) residual
1462: -  mctx  - optional monitoring context, as set by KSPMonitorSet()

1464:    Options Database Keys:
1465: +    -ksp_monitor        - sets KSPMonitorDefault()
1466: .    -ksp_monitor_true_residual    - sets KSPMonitorTrueResidualNorm()
1467: .    -ksp_monitor_draw    - sets line graph monitor,
1468:                            uses KSPMonitorLGCreate()
1469: .    -ksp_monitor_draw_true_residual   - sets line graph monitor,
1470:                            uses KSPMonitorLGCreate()
1471: .    -ksp_monitor_singular_value    - sets KSPMonitorSingularValue()
1472: -    -ksp_monitor_cancel - cancels all monitors that have
1473:                           been hardwired into a code by 
1474:                           calls to KSPMonitorSet(), but
1475:                           does not cancel those set via
1476:                           the options database.

1478:    Notes:  
1479:    The default is to do nothing.  To print the residual, or preconditioned 
1480:    residual if KSPSetNormType(ksp,KSP_NORM_PRECONDITIONED) was called, use 
1481:    KSPMonitorDefault() as the monitoring routine, with a null monitoring 
1482:    context. 

1484:    Several different monitoring routines may be set by calling
1485:    KSPMonitorSet() multiple times; all will be called in the 
1486:    order in which they were set. 

1488:    Fortran notes: Only a single monitor function can be set for each KSP object

1490:    Level: beginner

1492: .keywords: KSP, set, monitor

1494: .seealso: KSPMonitorDefault(), KSPMonitorLGCreate(), KSPMonitorCancel()
1495: @*/
1496: PetscErrorCode  KSPMonitorSet(KSP ksp,PetscErrorCode (*monitor)(KSP,PetscInt,PetscReal,void*),void *mctx,PetscErrorCode (*monitordestroy)(void**))
1497: {
1498:   PetscInt       i;

1503:   if (ksp->numbermonitors >= MAXKSPMONITORS) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many KSP monitors set");
1504:   for (i=0; i<ksp->numbermonitors;i++) {
1505:     if (monitor == ksp->monitor[i] && monitordestroy == ksp->monitordestroy[i] && mctx == ksp->monitorcontext[i]) {
1506:       if (monitordestroy) {
1507:         (*monitordestroy)(&mctx);
1508:       }
1509:       return(0);
1510:     }
1511:   }
1512:   ksp->monitor[ksp->numbermonitors]           = monitor;
1513:   ksp->monitordestroy[ksp->numbermonitors]    = monitordestroy;
1514:   ksp->monitorcontext[ksp->numbermonitors++]  = (void*)mctx;
1515:   return(0);
1516: }

1520: /*@
1521:    KSPMonitorCancel - Clears all monitors for a KSP object.

1523:    Logically Collective on KSP

1525:    Input Parameters:
1526: .  ksp - iterative context obtained from KSPCreate()

1528:    Options Database Key:
1529: .  -ksp_monitor_cancel - Cancels all monitors that have
1530:     been hardwired into a code by calls to KSPMonitorSet(), 
1531:     but does not cancel those set via the options database.

1533:    Level: intermediate

1535: .keywords: KSP, set, monitor

1537: .seealso: KSPMonitorDefault(), KSPMonitorLGCreate(), KSPMonitorSet()
1538: @*/
1539: PetscErrorCode  KSPMonitorCancel(KSP ksp)
1540: {
1542:   PetscInt       i;

1546:   for (i=0; i<ksp->numbermonitors; i++) {
1547:     if (ksp->monitordestroy[i]) {
1548:       (*ksp->monitordestroy[i])(&ksp->monitorcontext[i]);
1549:     }
1550:   }
1551:   ksp->numbermonitors = 0;
1552:   return(0);
1553: }

1557: /*@C
1558:    KSPGetMonitorContext - Gets the monitoring context, as set by 
1559:    KSPMonitorSet() for the FIRST monitor only.

1561:    Not Collective

1563:    Input Parameter:
1564: .  ksp - iterative context obtained from KSPCreate()

1566:    Output Parameter:
1567: .  ctx - monitoring context

1569:    Level: intermediate

1571: .keywords: KSP, get, monitor, context

1573: .seealso: KSPMonitorDefault(), KSPMonitorLGCreate()
1574: @*/
1575: PetscErrorCode  KSPGetMonitorContext(KSP ksp,void **ctx)
1576: {
1579:   *ctx =      (ksp->monitorcontext[0]);
1580:   return(0);
1581: }

1585: /*@
1586:    KSPSetResidualHistory - Sets the array used to hold the residual history.
1587:    If set, this array will contain the residual norms computed at each
1588:    iteration of the solver.

1590:    Not Collective

1592:    Input Parameters:
1593: +  ksp - iterative context obtained from KSPCreate()
1594: .  a   - array to hold history
1595: .  na  - size of a
1596: -  reset - PETSC_TRUE indicates the history counter is reset to zero
1597:            for each new linear solve

1599:    Level: advanced

1601:    Notes: The array is NOT freed by PETSc so the user needs to keep track of 
1602:            it and destroy once the KSP object is destroyed.

1604:    If 'a' is PETSC_NULL then space is allocated for the history. If 'na' PETSC_DECIDE or PETSC_DEFAULT then a
1605:    default array of length 10000 is allocated.

1607: .keywords: KSP, set, residual, history, norm

1609: .seealso: KSPGetResidualHistory()

1611: @*/
1612: PetscErrorCode  KSPSetResidualHistory(KSP ksp,PetscReal a[],PetscInt na,PetscBool  reset)
1613: {


1619:   PetscFree(ksp->res_hist_alloc);
1620:   if (na != PETSC_DECIDE && na != PETSC_DEFAULT && a) {
1621:     ksp->res_hist        = a;
1622:     ksp->res_hist_max    = na;
1623:   } else {
1624:     if (na != PETSC_DECIDE && na != PETSC_DEFAULT)
1625:       ksp->res_hist_max = na;
1626:     else
1627:       ksp->res_hist_max = 10000; /* like default ksp->max_it */
1628:     PetscMalloc(ksp->res_hist_max*sizeof(PetscReal),&ksp->res_hist_alloc);
1629:     ksp->res_hist = ksp->res_hist_alloc;
1630:   }
1631:   ksp->res_hist_len    = 0;
1632:   ksp->res_hist_reset  = reset;

1634:   return(0);
1635: }

1639: /*@C
1640:    KSPGetResidualHistory - Gets the array used to hold the residual history
1641:    and the number of residuals it contains.

1643:    Not Collective

1645:    Input Parameter:
1646: .  ksp - iterative context obtained from KSPCreate()

1648:    Output Parameters:
1649: +  a   - pointer to array to hold history (or PETSC_NULL)
1650: -  na  - number of used entries in a (or PETSC_NULL)

1652:    Level: advanced

1654:    Notes:
1655:      Can only be called after a KSPSetResidualHistory() otherwise a and na are set to zero

1657:      The Fortran version of this routine has a calling sequence
1658: $   call KSPGetResidualHistory(KSP ksp, integer na, integer ierr)
1659:     note that you have passed a Fortran array into KSPSetResidualHistory() and you need
1660:     to access the residual values from this Fortran array you provided. Only the na (number of
1661:     residual norms currently held) is set.

1663: .keywords: KSP, get, residual, history, norm

1665: .seealso: KSPGetResidualHistory()

1667: @*/
1668: PetscErrorCode  KSPGetResidualHistory(KSP ksp,PetscReal *a[],PetscInt *na)
1669: {
1672:   if (a)  *a  = ksp->res_hist;
1673:   if (na) *na = ksp->res_hist_len;
1674:   return(0);
1675: }

1679: /*@C
1680:    KSPSetConvergenceTest - Sets the function to be used to determine
1681:    convergence.  

1683:    Logically Collective on KSP

1685:    Input Parameters:
1686: +  ksp - iterative context obtained from KSPCreate()
1687: .  converge - pointer to int function
1688: .  cctx    - context for private data for the convergence routine (may be null)
1689: -  destroy - a routine for destroying the context (may be null)

1691:    Calling sequence of converge:
1692: $     converge (KSP ksp, int it, PetscReal rnorm, KSPConvergedReason *reason,void *mctx)

1694: +  ksp - iterative context obtained from KSPCreate()
1695: .  it - iteration number
1696: .  rnorm - (estimated) 2-norm of (preconditioned) residual
1697: .  reason - the reason why it has converged or diverged
1698: -  cctx  - optional convergence context, as set by KSPSetConvergenceTest()


1701:    Notes:
1702:    Must be called after the KSP type has been set so put this after
1703:    a call to KSPSetType(), or KSPSetFromOptions().

1705:    The default convergence test, KSPDefaultConverged(), aborts if the 
1706:    residual grows to more than 10000 times the initial residual.

1708:    The default is a combination of relative and absolute tolerances.  
1709:    The residual value that is tested may be an approximation; routines 
1710:    that need exact values should compute them.

1712:    In the default PETSc convergence test, the precise values of reason
1713:    are macros such as KSP_CONVERGED_RTOL, which are defined in petscksp.h.

1715:    Level: advanced

1717: .keywords: KSP, set, convergence, test, context

1719: .seealso: KSPDefaultConverged(), KSPGetConvergenceContext(), KSPSetTolerances()
1720: @*/
1721: PetscErrorCode  KSPSetConvergenceTest(KSP ksp,PetscErrorCode (*converge)(KSP,PetscInt,PetscReal,KSPConvergedReason*,void*),void *cctx,PetscErrorCode (*destroy)(void*))
1722: {

1727:   if (ksp->convergeddestroy) {
1728:     (*ksp->convergeddestroy)(ksp->cnvP);
1729:   }
1730:   ksp->converged        = converge;
1731:   ksp->convergeddestroy = destroy;
1732:   ksp->cnvP             = (void*)cctx;
1733:   return(0);
1734: }

1738: /*@C
1739:    KSPGetConvergenceContext - Gets the convergence context set with 
1740:    KSPSetConvergenceTest().  

1742:    Not Collective

1744:    Input Parameter:
1745: .  ksp - iterative context obtained from KSPCreate()

1747:    Output Parameter:
1748: .  ctx - monitoring context

1750:    Level: advanced

1752: .keywords: KSP, get, convergence, test, context

1754: .seealso: KSPDefaultConverged(), KSPSetConvergenceTest()
1755: @*/
1756: PetscErrorCode  KSPGetConvergenceContext(KSP ksp,void **ctx)
1757: {
1760:   *ctx = ksp->cnvP;
1761:   return(0);
1762: }

1766: /*@C
1767:    KSPBuildSolution - Builds the approximate solution in a vector provided.
1768:    This routine is NOT commonly needed (see KSPSolve()).

1770:    Collective on KSP

1772:    Input Parameter:
1773: .  ctx - iterative context obtained from KSPCreate()

1775:    Output Parameter: 
1776:    Provide exactly one of
1777: +  v - location to stash solution.   
1778: -  V - the solution is returned in this location. This vector is created 
1779:        internally. This vector should NOT be destroyed by the user with
1780:        VecDestroy().

1782:    Notes:
1783:    This routine can be used in one of two ways
1784: .vb
1785:       KSPBuildSolution(ksp,PETSC_NULL,&V);
1786:    or
1787:       KSPBuildSolution(ksp,v,PETSC_NULL); or KSPBuildSolution(ksp,v,&v);
1788: .ve
1789:    In the first case an internal vector is allocated to store the solution
1790:    (the user cannot destroy this vector). In the second case the solution
1791:    is generated in the vector that the user provides. Note that for certain 
1792:    methods, such as KSPCG, the second case requires a copy of the solution,
1793:    while in the first case the call is essentially free since it simply 
1794:    returns the vector where the solution already is stored. For some methods
1795:    like GMRES this is a reasonably expensive operation and should only be
1796:    used in truly needed.

1798:    Level: advanced

1800: .keywords: KSP, build, solution

1802: .seealso: KSPGetSolution(), KSPBuildResidual()
1803: @*/
1804: PetscErrorCode  KSPBuildSolution(KSP ksp,Vec v,Vec *V)
1805: {

1810:   if (!V && !v) SETERRQ(((PetscObject)ksp)->comm,PETSC_ERR_ARG_WRONG,"Must provide either v or V");
1811:   if (!V) V = &v;
1812:   (*ksp->ops->buildsolution)(ksp,v,V);
1813:   return(0);
1814: }

1818: /*@C
1819:    KSPBuildResidual - Builds the residual in a vector provided.

1821:    Collective on KSP

1823:    Input Parameter:
1824: .  ksp - iterative context obtained from KSPCreate()

1826:    Output Parameters:
1827: +  v - optional location to stash residual.  If v is not provided,
1828:        then a location is generated.
1829: .  t - work vector.  If not provided then one is generated.
1830: -  V - the residual

1832:    Notes:
1833:    Regardless of whether or not v is provided, the residual is 
1834:    returned in V.

1836:    Level: advanced

1838: .keywords: KSP, build, residual

1840: .seealso: KSPBuildSolution()
1841: @*/
1842: PetscErrorCode  KSPBuildResidual(KSP ksp,Vec t,Vec v,Vec *V)
1843: {
1845:   PetscBool      flag = PETSC_FALSE;
1846:   Vec            w = v,tt = t;

1850:   if (!w) {
1851:     VecDuplicate(ksp->vec_rhs,&w);
1852:     PetscLogObjectParent((PetscObject)ksp,w);
1853:   }
1854:   if (!tt) {
1855:     VecDuplicate(ksp->vec_sol,&tt); flag = PETSC_TRUE;
1856:     PetscLogObjectParent((PetscObject)ksp,tt);
1857:   }
1858:   (*ksp->ops->buildresidual)(ksp,tt,w,V);
1859:   if (flag) {VecDestroy(&tt);}
1860:   return(0);
1861: }

1865: /*@
1866:    KSPSetDiagonalScale - Tells KSP to symmetrically diagonally scale the system
1867:      before solving. This actually CHANGES the matrix (and right hand side).

1869:    Logically Collective on KSP

1871:    Input Parameter:
1872: +  ksp - the KSP context
1873: -  scale - PETSC_TRUE or PETSC_FALSE

1875:    Options Database Key:
1876: +   -ksp_diagonal_scale - 
1877: -   -ksp_diagonal_scale_fix - scale the matrix back AFTER the solve 


1880:     BE CAREFUL with this routine: it actually scales the matrix and right 
1881:     hand side that define the system. After the system is solved the matrix
1882:     and right hand side remain scaled.

1884:     This routine is only used if the matrix and preconditioner matrix are
1885:     the same thing.

1887:     This should NOT be used within the SNES solves if you are using a line
1888:     search.
1889:  
1890:     If you use this with the PCType Eisenstat preconditioner than you can 
1891:     use the PCEisenstatNoDiagonalScaling() option, or -pc_eisenstat_no_diagonal_scaling
1892:     to save some unneeded, redundant flops.

1894:    Level: intermediate

1896: .keywords: KSP, set, options, prefix, database

1898: .seealso: KSPGetDiagonalScale(), KSPSetDiagonalScaleFix()
1899: @*/
1900: PetscErrorCode  KSPSetDiagonalScale(KSP ksp,PetscBool  scale)
1901: {
1905:   ksp->dscale = scale;
1906:   return(0);
1907: }

1911: /*@
1912:    KSPGetDiagonalScale - Checks if KSP solver scales the matrix and
1913:                           right hand side

1915:    Not Collective

1917:    Input Parameter:
1918: .  ksp - the KSP context

1920:    Output Parameter:
1921: .  scale - PETSC_TRUE or PETSC_FALSE

1923:    Notes:
1924:     BE CAREFUL with this routine: it actually scales the matrix and right 
1925:     hand side that define the system. After the system is solved the matrix
1926:     and right hand side remain scaled.

1928:     This routine is only used if the matrix and preconditioner matrix are
1929:     the same thing.

1931:    Level: intermediate

1933: .keywords: KSP, set, options, prefix, database

1935: .seealso: KSPSetDiagonalScale(), KSPSetDiagonalScaleFix()
1936: @*/
1937: PetscErrorCode  KSPGetDiagonalScale(KSP ksp,PetscBool  *scale)
1938: {
1942:   *scale = ksp->dscale;
1943:   return(0);
1944: }

1948: /*@
1949:    KSPSetDiagonalScaleFix - Tells KSP to diagonally scale the system
1950:      back after solving.

1952:    Logically Collective on KSP

1954:    Input Parameter:
1955: +  ksp - the KSP context
1956: -  fix - PETSC_TRUE to scale back after the system solve, PETSC_FALSE to not 
1957:          rescale (default)

1959:    Notes:
1960:      Must be called after KSPSetDiagonalScale()

1962:      Using this will slow things down, because it rescales the matrix before and
1963:      after each linear solve. This is intended mainly for testing to allow one
1964:      to easily get back the original system to make sure the solution computed is
1965:      accurate enough.

1967:     This routine is only used if the matrix and preconditioner matrix are
1968:     the same thing.

1970:    Level: intermediate

1972: .keywords: KSP, set, options, prefix, database

1974: .seealso: KSPGetDiagonalScale(), KSPSetDiagonalScale(), KSPGetDiagonalScaleFix()
1975: @*/
1976: PetscErrorCode  KSPSetDiagonalScaleFix(KSP ksp,PetscBool  fix)
1977: {
1981:   ksp->dscalefix = fix;
1982:   return(0);
1983: }

1987: /*@
1988:    KSPGetDiagonalScaleFix - Determines if KSP diagonally scales the system
1989:      back after solving.

1991:    Not Collective

1993:    Input Parameter:
1994: .  ksp - the KSP context

1996:    Output Parameter:
1997: .  fix - PETSC_TRUE to scale back after the system solve, PETSC_FALSE to not 
1998:          rescale (default)

2000:    Notes:
2001:      Must be called after KSPSetDiagonalScale()

2003:      If PETSC_TRUE will slow things down, because it rescales the matrix before and
2004:      after each linear solve. This is intended mainly for testing to allow one
2005:      to easily get back the original system to make sure the solution computed is
2006:      accurate enough.

2008:     This routine is only used if the matrix and preconditioner matrix are
2009:     the same thing.

2011:    Level: intermediate

2013: .keywords: KSP, set, options, prefix, database

2015: .seealso: KSPGetDiagonalScale(), KSPSetDiagonalScale(), KSPSetDiagonalScaleFix()
2016: @*/
2017: PetscErrorCode  KSPGetDiagonalScaleFix(KSP ksp,PetscBool  *fix)
2018: {
2022:   *fix = ksp->dscalefix;
2023:   return(0);
2024: }