LCOV - code coverage report
Current view: top level - nep/interface - nepview.c (source / functions) Hit Total Coverage
Test: SLEPc Lines: 320 387 82.7 %
Date: 2024-11-21 00:40:22 Functions: 16 17 94.1 %
Legend: Lines: hit not hit

          Line data    Source code
       1             : /*
       2             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       3             :    SLEPc - Scalable Library for Eigenvalue Problem Computations
       4             :    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
       5             : 
       6             :    This file is part of SLEPc.
       7             :    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
       8             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       9             : */
      10             : /*
      11             :    NEP routines related to various viewers
      12             : */
      13             : 
      14             : #include <slepc/private/nepimpl.h>      /*I "slepcnep.h" I*/
      15             : #include <slepc/private/bvimpl.h>
      16             : #include <petscdraw.h>
      17             : 
      18             : /*@
      19             :    NEPView - Prints the NEP data structure.
      20             : 
      21             :    Collective
      22             : 
      23             :    Input Parameters:
      24             : +  nep - the nonlinear eigenproblem solver context
      25             : -  viewer - optional visualization context
      26             : 
      27             :    Options Database Key:
      28             : .  -nep_view -  Calls NEPView() at end of NEPSolve()
      29             : 
      30             :    Note:
      31             :    The available visualization contexts include
      32             : +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
      33             : -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
      34             :          output where only the first processor opens
      35             :          the file.  All other processors send their
      36             :          data to the first processor to print.
      37             : 
      38             :    The user can open an alternative visualization context with
      39             :    PetscViewerASCIIOpen() - output to a specified file.
      40             : 
      41             :    Level: beginner
      42             : 
      43             : .seealso: FNView()
      44             : @*/
      45           5 : PetscErrorCode NEPView(NEP nep,PetscViewer viewer)
      46             : {
      47           5 :   const char     *type=NULL;
      48           5 :   char           str[50];
      49           5 :   PetscInt       i;
      50           5 :   PetscBool      isascii,istrivial;
      51           5 :   PetscViewer    sviewer;
      52           5 :   MPI_Comm       child;
      53             : 
      54           5 :   PetscFunctionBegin;
      55           5 :   PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
      56           5 :   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)nep),&viewer));
      57           5 :   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
      58           5 :   PetscCheckSameComm(nep,1,viewer,2);
      59             : 
      60           5 :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
      61           5 :   if (isascii) {
      62           5 :     PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)nep,viewer));
      63           5 :     PetscCall(PetscViewerASCIIPushTab(viewer));
      64           5 :     PetscTryTypeMethod(nep,view,viewer);
      65           5 :     PetscCall(PetscViewerASCIIPopTab(viewer));
      66           5 :     if (nep->problem_type) {
      67           5 :       switch (nep->problem_type) {
      68           4 :         case NEP_GENERAL:  type = "general nonlinear eigenvalue problem"; break;
      69           1 :         case NEP_RATIONAL: type = "rational eigenvalue problem"; break;
      70             :       }
      71             :     } else type = "not yet set";
      72           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  problem type: %s\n",type));
      73           5 :     if (nep->fui) {
      74           5 :       switch (nep->fui) {
      75           0 :       case NEP_USER_INTERFACE_CALLBACK:
      76           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"  nonlinear operator from user callbacks\n"));
      77             :         break;
      78           5 :       case NEP_USER_INTERFACE_SPLIT:
      79           5 :         PetscCall(PetscViewerASCIIPrintf(viewer,"  nonlinear operator in split form\n"));
      80           5 :         PetscCall(PetscViewerASCIIPrintf(viewer,"    number of terms: %" PetscInt_FMT "\n",nep->nt));
      81           5 :         PetscCall(PetscViewerASCIIPrintf(viewer,"    nonzero pattern of the matrices: %s\n",MatStructures[nep->mstr]));
      82             :         break;
      83             :       }
      84           0 :     } else PetscCall(PetscViewerASCIIPrintf(viewer,"  nonlinear operator not specified yet\n"));
      85           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  selected portion of the spectrum: "));
      86           5 :     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
      87           5 :     PetscCall(SlepcSNPrintfScalar(str,sizeof(str),nep->target,PETSC_FALSE));
      88           5 :     if (!nep->which) PetscCall(PetscViewerASCIIPrintf(viewer,"not yet set\n"));
      89           5 :     else switch (nep->which) {
      90           0 :       case NEP_WHICH_USER:
      91           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"user defined\n"));
      92             :         break;
      93           4 :       case NEP_TARGET_MAGNITUDE:
      94           4 :         PetscCall(PetscViewerASCIIPrintf(viewer,"closest to target: %s (in magnitude)\n",str));
      95             :         break;
      96           0 :       case NEP_TARGET_REAL:
      97           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"closest to target: %s (along the real axis)\n",str));
      98             :         break;
      99           0 :       case NEP_TARGET_IMAGINARY:
     100           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"closest to target: %s (along the imaginary axis)\n",str));
     101             :         break;
     102           0 :       case NEP_LARGEST_MAGNITUDE:
     103           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"largest eigenvalues in magnitude\n"));
     104             :         break;
     105           0 :       case NEP_SMALLEST_MAGNITUDE:
     106           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"smallest eigenvalues in magnitude\n"));
     107             :         break;
     108           0 :       case NEP_LARGEST_REAL:
     109           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"largest real parts\n"));
     110             :         break;
     111           0 :       case NEP_SMALLEST_REAL:
     112           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"smallest real parts\n"));
     113             :         break;
     114           0 :       case NEP_LARGEST_IMAGINARY:
     115           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"largest imaginary parts\n"));
     116             :         break;
     117           0 :       case NEP_SMALLEST_IMAGINARY:
     118           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"smallest imaginary parts\n"));
     119             :         break;
     120           1 :       case NEP_ALL:
     121           1 :         PetscCall(PetscViewerASCIIPrintf(viewer,"all eigenvalues in the region\n"));
     122             :         break;
     123             :     }
     124           5 :     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
     125           5 :     if (nep->twosided) PetscCall(PetscViewerASCIIPrintf(viewer,"  using two-sided variant (for left eigenvectors)\n"));
     126           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  number of eigenvalues (nev): %" PetscInt_FMT "\n",nep->nev));
     127           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  number of column vectors (ncv): %" PetscInt_FMT "\n",nep->ncv));
     128           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  maximum dimension of projected problem (mpd): %" PetscInt_FMT "\n",nep->mpd));
     129           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  maximum number of iterations: %" PetscInt_FMT "\n",nep->max_it));
     130           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  tolerance: %g\n",(double)nep->tol));
     131           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  convergence test: "));
     132           5 :     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
     133           5 :     switch (nep->conv) {
     134           1 :     case NEP_CONV_ABS:
     135           1 :       PetscCall(PetscViewerASCIIPrintf(viewer,"absolute\n"));break;
     136           4 :     case NEP_CONV_REL:
     137           4 :       PetscCall(PetscViewerASCIIPrintf(viewer,"relative to the eigenvalue\n"));break;
     138           0 :     case NEP_CONV_NORM:
     139           0 :       PetscCall(PetscViewerASCIIPrintf(viewer,"relative to the matrix norms\n"));
     140           0 :       if (nep->nrma) {
     141           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"  computed matrix norms: %g",(double)nep->nrma[0]));
     142           0 :         for (i=1;i<nep->nt;i++) PetscCall(PetscViewerASCIIPrintf(viewer,", %g",(double)nep->nrma[i]));
     143           0 :         PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
     144             :       }
     145             :       break;
     146           0 :     case NEP_CONV_USER:
     147           0 :       PetscCall(PetscViewerASCIIPrintf(viewer,"user-defined\n"));break;
     148             :     }
     149           5 :     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
     150           5 :     if (nep->refine) {
     151           1 :       PetscCall(PetscViewerASCIIPrintf(viewer,"  iterative refinement: %s, with %s scheme\n",NEPRefineTypes[nep->refine],NEPRefineSchemes[nep->scheme]));
     152           1 :       PetscCall(PetscViewerASCIIPrintf(viewer,"  refinement stopping criterion: tol=%g, its=%" PetscInt_FMT "\n",(double)nep->rtol,nep->rits));
     153           1 :       if (nep->npart>1) PetscCall(PetscViewerASCIIPrintf(viewer,"  splitting communicator in %" PetscInt_FMT " partitions for refinement\n",nep->npart));
     154             :     }
     155           5 :     if (nep->nini) PetscCall(PetscViewerASCIIPrintf(viewer,"  dimension of user-provided initial space: %" PetscInt_FMT "\n",PetscAbs(nep->nini)));
     156           0 :   } else PetscTryTypeMethod(nep,view,viewer);
     157           5 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO));
     158           5 :   if (!nep->V) PetscCall(NEPGetBV(nep,&nep->V));
     159           5 :   PetscCall(BVView(nep->V,viewer));
     160           5 :   if (!nep->rg) PetscCall(NEPGetRG(nep,&nep->rg));
     161           5 :   PetscCall(RGIsTrivial(nep->rg,&istrivial));
     162           5 :   if (!istrivial) PetscCall(RGView(nep->rg,viewer));
     163           5 :   if (nep->useds) {
     164           5 :     if (!nep->ds) PetscCall(NEPGetDS(nep,&nep->ds));
     165           5 :     PetscCall(DSView(nep->ds,viewer));
     166             :   }
     167           5 :   PetscCall(PetscViewerPopFormat(viewer));
     168           5 :   if (nep->refine!=NEP_REFINE_NONE) {
     169           1 :     PetscCall(PetscViewerASCIIPushTab(viewer));
     170           1 :     if (nep->npart>1) {
     171           0 :       if (nep->refinesubc->color==0) {
     172           0 :         PetscCall(PetscSubcommGetChild(nep->refinesubc,&child));
     173           0 :         PetscCall(PetscViewerASCIIGetStdout(child,&sviewer));
     174           0 :         PetscCall(KSPView(nep->refineksp,sviewer));
     175             :       }
     176           1 :     } else PetscCall(KSPView(nep->refineksp,viewer));
     177           1 :     PetscCall(PetscViewerASCIIPopTab(viewer));
     178             :   }
     179           5 :   PetscFunctionReturn(PETSC_SUCCESS);
     180             : }
     181             : 
     182             : /*@
     183             :    NEPViewFromOptions - View from options
     184             : 
     185             :    Collective
     186             : 
     187             :    Input Parameters:
     188             : +  nep  - the nonlinear eigensolver context
     189             : .  obj  - optional object
     190             : -  name - command line option
     191             : 
     192             :    Level: intermediate
     193             : 
     194             : .seealso: NEPView(), NEPCreate()
     195             : @*/
     196         320 : PetscErrorCode NEPViewFromOptions(NEP nep,PetscObject obj,const char name[])
     197             : {
     198         320 :   PetscFunctionBegin;
     199         320 :   PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
     200         320 :   PetscCall(PetscObjectViewFromOptions((PetscObject)nep,obj,name));
     201         320 :   PetscFunctionReturn(PETSC_SUCCESS);
     202             : }
     203             : 
     204             : /*@
     205             :    NEPConvergedReasonView - Displays the reason a NEP solve converged or diverged.
     206             : 
     207             :    Collective
     208             : 
     209             :    Input Parameters:
     210             : +  nep - the nonlinear eigensolver context
     211             : -  viewer - the viewer to display the reason
     212             : 
     213             :    Options Database Keys:
     214             : .  -nep_converged_reason - print reason for convergence, and number of iterations
     215             : 
     216             :    Note:
     217             :    To change the format of the output call PetscViewerPushFormat(viewer,format) before
     218             :    this call. Use PETSC_VIEWER_DEFAULT for the default, use PETSC_VIEWER_FAILED to only
     219             :    display a reason if it fails. The latter can be set in the command line with
     220             :    -nep_converged_reason ::failed
     221             : 
     222             :    Level: intermediate
     223             : 
     224             : .seealso: NEPSetConvergenceTest(), NEPSetTolerances(), NEPGetIterationNumber(), NEPConvergedReasonViewFromOptions()
     225             : @*/
     226           2 : PetscErrorCode NEPConvergedReasonView(NEP nep,PetscViewer viewer)
     227             : {
     228           2 :   PetscBool         isAscii;
     229           2 :   PetscViewerFormat format;
     230             : 
     231           2 :   PetscFunctionBegin;
     232           2 :   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)nep));
     233           2 :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isAscii));
     234           2 :   if (isAscii) {
     235           2 :     PetscCall(PetscViewerGetFormat(viewer,&format));
     236           2 :     PetscCall(PetscViewerASCIIAddTab(viewer,((PetscObject)nep)->tablevel));
     237           3 :     if (nep->reason > 0 && format != PETSC_VIEWER_FAILED) PetscCall(PetscViewerASCIIPrintf(viewer,"%s Nonlinear eigensolve converged (%" PetscInt_FMT " eigenpair%s) due to %s; iterations %" PetscInt_FMT "\n",((PetscObject)nep)->prefix?((PetscObject)nep)->prefix:"",nep->nconv,(nep->nconv>1)?"s":"",NEPConvergedReasons[nep->reason],nep->its));
     238           0 :     else if (nep->reason <= 0) PetscCall(PetscViewerASCIIPrintf(viewer,"%s Nonlinear eigensolve did not converge due to %s; iterations %" PetscInt_FMT "\n",((PetscObject)nep)->prefix?((PetscObject)nep)->prefix:"",NEPConvergedReasons[nep->reason],nep->its));
     239           2 :     PetscCall(PetscViewerASCIISubtractTab(viewer,((PetscObject)nep)->tablevel));
     240             :   }
     241           2 :   PetscFunctionReturn(PETSC_SUCCESS);
     242             : }
     243             : 
     244             : /*@
     245             :    NEPConvergedReasonViewFromOptions - Processes command line options to determine if/how
     246             :    the NEP converged reason is to be viewed.
     247             : 
     248             :    Collective
     249             : 
     250             :    Input Parameter:
     251             : .  nep - the nonlinear eigensolver context
     252             : 
     253             :    Level: developer
     254             : 
     255             : .seealso: NEPConvergedReasonView()
     256             : @*/
     257         160 : PetscErrorCode NEPConvergedReasonViewFromOptions(NEP nep)
     258             : {
     259         160 :   PetscViewer       viewer;
     260         160 :   PetscBool         flg;
     261         160 :   static PetscBool  incall = PETSC_FALSE;
     262         160 :   PetscViewerFormat format;
     263             : 
     264         160 :   PetscFunctionBegin;
     265         160 :   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
     266         160 :   incall = PETSC_TRUE;
     267         160 :   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)nep),((PetscObject)nep)->options,((PetscObject)nep)->prefix,"-nep_converged_reason",&viewer,&format,&flg));
     268         160 :   if (flg) {
     269           1 :     PetscCall(PetscViewerPushFormat(viewer,format));
     270           1 :     PetscCall(NEPConvergedReasonView(nep,viewer));
     271           1 :     PetscCall(PetscViewerPopFormat(viewer));
     272           1 :     PetscCall(PetscViewerDestroy(&viewer));
     273             :   }
     274         160 :   incall = PETSC_FALSE;
     275         160 :   PetscFunctionReturn(PETSC_SUCCESS);
     276             : }
     277             : 
     278         153 : static PetscErrorCode NEPErrorView_ASCII(NEP nep,NEPErrorType etype,PetscViewer viewer)
     279             : {
     280         153 :   PetscReal      error;
     281         153 :   PetscInt       i,j,k,nvals;
     282             : 
     283         153 :   PetscFunctionBegin;
     284         153 :   nvals = (nep->which==NEP_ALL)? nep->nconv: nep->nev;
     285         153 :   if (nep->which!=NEP_ALL && nep->nconv<nvals) {
     286           0 :     PetscCall(PetscViewerASCIIPrintf(viewer," Problem: less than %" PetscInt_FMT " eigenvalues converged\n\n",nep->nev));
     287           0 :     PetscFunctionReturn(PETSC_SUCCESS);
     288             :   }
     289         153 :   if (nep->which==NEP_ALL && !nvals) {
     290           0 :     PetscCall(PetscViewerASCIIPrintf(viewer," No eigenvalues have been found\n\n"));
     291           0 :     PetscFunctionReturn(PETSC_SUCCESS);
     292             :   }
     293         622 :   for (i=0;i<nvals;i++) {
     294         469 :     PetscCall(NEPComputeError(nep,i,etype,&error));
     295         469 :     if (error>=5.0*nep->tol) {
     296           0 :       PetscCall(PetscViewerASCIIPrintf(viewer," Problem: some of the first %" PetscInt_FMT " relative errors are higher than the tolerance\n\n",nvals));
     297         469 :       PetscFunctionReturn(PETSC_SUCCESS);
     298             :     }
     299             :   }
     300         153 :   if (nep->which==NEP_ALL) PetscCall(PetscViewerASCIIPrintf(viewer," Found %" PetscInt_FMT " eigenvalues, all of them computed up to the required tolerance:",nvals));
     301         113 :   else PetscCall(PetscViewerASCIIPrintf(viewer," All requested eigenvalues computed up to the required tolerance:"));
     302         309 :   for (i=0;i<=(nvals-1)/8;i++) {
     303         156 :     PetscCall(PetscViewerASCIIPrintf(viewer,"\n     "));
     304         625 :     for (j=0;j<PetscMin(8,nvals-8*i);j++) {
     305         469 :       k = nep->perm[8*i+j];
     306         469 :       PetscCall(SlepcPrintEigenvalueASCII(viewer,nep->eigr[k],nep->eigi[k]));
     307         469 :       if (8*i+j+1<nvals) PetscCall(PetscViewerASCIIPrintf(viewer,", "));
     308             :     }
     309             :   }
     310         153 :   PetscCall(PetscViewerASCIIPrintf(viewer,"\n\n"));
     311         153 :   PetscFunctionReturn(PETSC_SUCCESS);
     312             : }
     313             : 
     314           1 : static PetscErrorCode NEPErrorView_DETAIL(NEP nep,NEPErrorType etype,PetscViewer viewer)
     315             : {
     316           1 :   PetscReal      error,re,im;
     317           1 :   PetscScalar    kr,ki;
     318           1 :   PetscInt       i;
     319           1 :   char           ex[30],sep[]=" ---------------------- --------------------\n";
     320             : 
     321           1 :   PetscFunctionBegin;
     322           1 :   if (!nep->nconv) PetscFunctionReturn(PETSC_SUCCESS);
     323           1 :   switch (etype) {
     324           0 :     case NEP_ERROR_ABSOLUTE:
     325           0 :       PetscCall(PetscSNPrintf(ex,sizeof(ex),"    ||T(k)x||"));
     326             :       break;
     327           0 :     case NEP_ERROR_RELATIVE:
     328           0 :       PetscCall(PetscSNPrintf(ex,sizeof(ex)," ||T(k)x||/||kx||"));
     329             :       break;
     330           1 :     case NEP_ERROR_BACKWARD:
     331           1 :       PetscCall(PetscSNPrintf(ex,sizeof(ex),"    eta(x,k)"));
     332             :       break;
     333             :   }
     334           1 :   PetscCall(PetscViewerASCIIPrintf(viewer,"%s            k             %s\n%s",sep,ex,sep));
     335           2 :   for (i=0;i<nep->nconv;i++) {
     336           1 :     PetscCall(NEPGetEigenpair(nep,i,&kr,&ki,NULL,NULL));
     337           1 :     PetscCall(NEPComputeError(nep,i,etype,&error));
     338             : #if defined(PETSC_USE_COMPLEX)
     339           1 :     re = PetscRealPart(kr);
     340           1 :     im = PetscImaginaryPart(kr);
     341             : #else
     342             :     re = kr;
     343             :     im = ki;
     344             : #endif
     345           1 :     if (im!=0.0) PetscCall(PetscViewerASCIIPrintf(viewer,"  % 9f%+9fi      %12g\n",(double)re,(double)im,(double)error));
     346           1 :     else PetscCall(PetscViewerASCIIPrintf(viewer,"    % 12f           %12g\n",(double)re,(double)error));
     347             :   }
     348           1 :   PetscCall(PetscViewerASCIIPrintf(viewer,"%s",sep));
     349           1 :   PetscFunctionReturn(PETSC_SUCCESS);
     350             : }
     351             : 
     352           2 : static PetscErrorCode NEPErrorView_MATLAB(NEP nep,NEPErrorType etype,PetscViewer viewer)
     353             : {
     354           2 :   PetscReal      error;
     355           2 :   PetscInt       i;
     356           2 :   const char     *name;
     357             : 
     358           2 :   PetscFunctionBegin;
     359           2 :   PetscCall(PetscObjectGetName((PetscObject)nep,&name));
     360           2 :   PetscCall(PetscViewerASCIIPrintf(viewer,"Error_%s = [\n",name));
     361           7 :   for (i=0;i<nep->nconv;i++) {
     362           5 :     PetscCall(NEPComputeError(nep,i,etype,&error));
     363           5 :     PetscCall(PetscViewerASCIIPrintf(viewer,"%18.16e\n",(double)error));
     364             :   }
     365           2 :   PetscCall(PetscViewerASCIIPrintf(viewer,"];\n"));
     366           2 :   PetscFunctionReturn(PETSC_SUCCESS);
     367             : }
     368             : 
     369             : /*@
     370             :    NEPErrorView - Displays the errors associated with the computed solution
     371             :    (as well as the eigenvalues).
     372             : 
     373             :    Collective
     374             : 
     375             :    Input Parameters:
     376             : +  nep    - the nonlinear eigensolver context
     377             : .  etype  - error type
     378             : -  viewer - optional visualization context
     379             : 
     380             :    Options Database Keys:
     381             : +  -nep_error_absolute - print absolute errors of each eigenpair
     382             : .  -nep_error_relative - print relative errors of each eigenpair
     383             : -  -nep_error_backward - print backward errors of each eigenpair
     384             : 
     385             :    Notes:
     386             :    By default, this function checks the error of all eigenpairs and prints
     387             :    the eigenvalues if all of them are below the requested tolerance.
     388             :    If the viewer has format=PETSC_VIEWER_ASCII_INFO_DETAIL then a table with
     389             :    eigenvalues and corresponding errors is printed.
     390             : 
     391             :    Level: intermediate
     392             : 
     393             : .seealso: NEPSolve(), NEPValuesView(), NEPVectorsView()
     394             : @*/
     395         156 : PetscErrorCode NEPErrorView(NEP nep,NEPErrorType etype,PetscViewer viewer)
     396             : {
     397         156 :   PetscBool         isascii;
     398         156 :   PetscViewerFormat format;
     399             : 
     400         156 :   PetscFunctionBegin;
     401         156 :   PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
     402         156 :   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)nep),&viewer));
     403         156 :   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,3);
     404         156 :   PetscCheckSameComm(nep,1,viewer,3);
     405         156 :   NEPCheckSolved(nep,1);
     406         156 :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
     407         156 :   if (!isascii) PetscFunctionReturn(PETSC_SUCCESS);
     408             : 
     409         156 :   PetscCall(PetscViewerGetFormat(viewer,&format));
     410         156 :   switch (format) {
     411         153 :     case PETSC_VIEWER_DEFAULT:
     412             :     case PETSC_VIEWER_ASCII_INFO:
     413         153 :       PetscCall(NEPErrorView_ASCII(nep,etype,viewer));
     414             :       break;
     415           1 :     case PETSC_VIEWER_ASCII_INFO_DETAIL:
     416           1 :       PetscCall(NEPErrorView_DETAIL(nep,etype,viewer));
     417             :       break;
     418           2 :     case PETSC_VIEWER_ASCII_MATLAB:
     419           2 :       PetscCall(NEPErrorView_MATLAB(nep,etype,viewer));
     420             :       break;
     421           0 :     default:
     422           0 :       PetscCall(PetscInfo(nep,"Unsupported viewer format %s\n",PetscViewerFormats[format]));
     423             :   }
     424         156 :   PetscFunctionReturn(PETSC_SUCCESS);
     425             : }
     426             : 
     427             : /*@
     428             :    NEPErrorViewFromOptions - Processes command line options to determine if/how
     429             :    the errors of the computed solution are to be viewed.
     430             : 
     431             :    Collective
     432             : 
     433             :    Input Parameter:
     434             : .  nep - the nonlinear eigensolver context
     435             : 
     436             :    Level: developer
     437             : 
     438             : .seealso: NEPErrorView()
     439             : @*/
     440         160 : PetscErrorCode NEPErrorViewFromOptions(NEP nep)
     441             : {
     442         160 :   PetscViewer       viewer;
     443         160 :   PetscBool         flg;
     444         160 :   static PetscBool  incall = PETSC_FALSE;
     445         160 :   PetscViewerFormat format;
     446             : 
     447         160 :   PetscFunctionBegin;
     448         160 :   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
     449         160 :   incall = PETSC_TRUE;
     450         160 :   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)nep),((PetscObject)nep)->options,((PetscObject)nep)->prefix,"-nep_error_absolute",&viewer,&format,&flg));
     451         160 :   if (flg) {
     452           1 :     PetscCall(PetscViewerPushFormat(viewer,format));
     453           1 :     PetscCall(NEPErrorView(nep,NEP_ERROR_ABSOLUTE,viewer));
     454           1 :     PetscCall(PetscViewerPopFormat(viewer));
     455           1 :     PetscCall(PetscViewerDestroy(&viewer));
     456             :   }
     457         160 :   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)nep),((PetscObject)nep)->options,((PetscObject)nep)->prefix,"-nep_error_relative",&viewer,&format,&flg));
     458         160 :   if (flg) {
     459           1 :     PetscCall(PetscViewerPushFormat(viewer,format));
     460           1 :     PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,viewer));
     461           1 :     PetscCall(PetscViewerPopFormat(viewer));
     462           1 :     PetscCall(PetscViewerDestroy(&viewer));
     463             :   }
     464         160 :   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)nep),((PetscObject)nep)->options,((PetscObject)nep)->prefix,"-nep_error_backward",&viewer,&format,&flg));
     465         160 :   if (flg) {
     466           1 :     PetscCall(PetscViewerPushFormat(viewer,format));
     467           1 :     PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,viewer));
     468           1 :     PetscCall(PetscViewerPopFormat(viewer));
     469           1 :     PetscCall(PetscViewerDestroy(&viewer));
     470             :   }
     471         160 :   incall = PETSC_FALSE;
     472         160 :   PetscFunctionReturn(PETSC_SUCCESS);
     473             : }
     474             : 
     475           0 : static PetscErrorCode NEPValuesView_DRAW(NEP nep,PetscViewer viewer)
     476             : {
     477           0 :   PetscDraw      draw;
     478           0 :   PetscDrawSP    drawsp;
     479           0 :   PetscReal      re,im;
     480           0 :   PetscInt       i,k;
     481             : 
     482           0 :   PetscFunctionBegin;
     483           0 :   if (!nep->nconv) PetscFunctionReturn(PETSC_SUCCESS);
     484           0 :   PetscCall(PetscViewerDrawGetDraw(viewer,0,&draw));
     485           0 :   PetscCall(PetscDrawSetTitle(draw,"Computed Eigenvalues"));
     486           0 :   PetscCall(PetscDrawSPCreate(draw,1,&drawsp));
     487           0 :   for (i=0;i<nep->nconv;i++) {
     488           0 :     k = nep->perm[i];
     489             : #if defined(PETSC_USE_COMPLEX)
     490           0 :     re = PetscRealPart(nep->eigr[k]);
     491           0 :     im = PetscImaginaryPart(nep->eigr[k]);
     492             : #else
     493             :     re = nep->eigr[k];
     494             :     im = nep->eigi[k];
     495             : #endif
     496           0 :     PetscCall(PetscDrawSPAddPoint(drawsp,&re,&im));
     497             :   }
     498           0 :   PetscCall(PetscDrawSPDraw(drawsp,PETSC_TRUE));
     499           0 :   PetscCall(PetscDrawSPSave(drawsp));
     500           0 :   PetscCall(PetscDrawSPDestroy(&drawsp));
     501           0 :   PetscFunctionReturn(PETSC_SUCCESS);
     502             : }
     503             : 
     504           1 : static PetscErrorCode NEPValuesView_BINARY(NEP nep,PetscViewer viewer)
     505             : {
     506             : #if defined(PETSC_HAVE_COMPLEX)
     507           1 :   PetscInt       i,k;
     508           1 :   PetscComplex   *ev;
     509             : #endif
     510             : 
     511           1 :   PetscFunctionBegin;
     512             : #if defined(PETSC_HAVE_COMPLEX)
     513           1 :   PetscCall(PetscMalloc1(nep->nconv,&ev));
     514           5 :   for (i=0;i<nep->nconv;i++) {
     515           4 :     k = nep->perm[i];
     516             : #if defined(PETSC_USE_COMPLEX)
     517           4 :     ev[i] = nep->eigr[k];
     518             : #else
     519             :     ev[i] = PetscCMPLX(nep->eigr[k],nep->eigi[k]);
     520             : #endif
     521             :   }
     522           1 :   PetscCall(PetscViewerBinaryWrite(viewer,ev,nep->nconv,PETSC_COMPLEX));
     523           1 :   PetscCall(PetscFree(ev));
     524             : #endif
     525           1 :   PetscFunctionReturn(PETSC_SUCCESS);
     526             : }
     527             : 
     528             : #if defined(PETSC_HAVE_HDF5)
     529             : static PetscErrorCode NEPValuesView_HDF5(NEP nep,PetscViewer viewer)
     530             : {
     531             :   PetscInt       i,k,n,N;
     532             :   PetscMPIInt    rank;
     533             :   Vec            v;
     534             :   char           vname[30];
     535             :   const char     *ename;
     536             : 
     537             :   PetscFunctionBegin;
     538             :   PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)nep),&rank));
     539             :   N = nep->nconv;
     540             :   n = rank? 0: N;
     541             :   /* create a vector containing the eigenvalues */
     542             :   PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)nep),n,N,&v));
     543             :   PetscCall(PetscObjectGetName((PetscObject)nep,&ename));
     544             :   PetscCall(PetscSNPrintf(vname,sizeof(vname),"eigr_%s",ename));
     545             :   PetscCall(PetscObjectSetName((PetscObject)v,vname));
     546             :   if (!rank) {
     547             :     for (i=0;i<nep->nconv;i++) {
     548             :       k = nep->perm[i];
     549             :       PetscCall(VecSetValue(v,i,nep->eigr[k],INSERT_VALUES));
     550             :     }
     551             :   }
     552             :   PetscCall(VecAssemblyBegin(v));
     553             :   PetscCall(VecAssemblyEnd(v));
     554             :   PetscCall(VecView(v,viewer));
     555             : #if !defined(PETSC_USE_COMPLEX)
     556             :   /* in real scalars write the imaginary part as a separate vector */
     557             :   PetscCall(PetscSNPrintf(vname,sizeof(vname),"eigi_%s",ename));
     558             :   PetscCall(PetscObjectSetName((PetscObject)v,vname));
     559             :   if (!rank) {
     560             :     for (i=0;i<nep->nconv;i++) {
     561             :       k = nep->perm[i];
     562             :       PetscCall(VecSetValue(v,i,nep->eigi[k],INSERT_VALUES));
     563             :     }
     564             :   }
     565             :   PetscCall(VecAssemblyBegin(v));
     566             :   PetscCall(VecAssemblyEnd(v));
     567             :   PetscCall(VecView(v,viewer));
     568             : #endif
     569             :   PetscCall(VecDestroy(&v));
     570             :   PetscFunctionReturn(PETSC_SUCCESS);
     571             : }
     572             : #endif
     573             : 
     574           1 : static PetscErrorCode NEPValuesView_ASCII(NEP nep,PetscViewer viewer)
     575             : {
     576           1 :   PetscInt       i,k;
     577             : 
     578           1 :   PetscFunctionBegin;
     579           1 :   PetscCall(PetscViewerASCIIPrintf(viewer,"Eigenvalues = \n"));
     580           2 :   for (i=0;i<nep->nconv;i++) {
     581           1 :     k = nep->perm[i];
     582           1 :     PetscCall(PetscViewerASCIIPrintf(viewer,"   "));
     583           1 :     PetscCall(SlepcPrintEigenvalueASCII(viewer,nep->eigr[k],nep->eigi[k]));
     584           1 :     PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
     585             :   }
     586           1 :   PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
     587           1 :   PetscFunctionReturn(PETSC_SUCCESS);
     588             : }
     589             : 
     590           1 : static PetscErrorCode NEPValuesView_MATLAB(NEP nep,PetscViewer viewer)
     591             : {
     592           1 :   PetscInt       i,k;
     593           1 :   PetscReal      re,im;
     594           1 :   const char     *name;
     595             : 
     596           1 :   PetscFunctionBegin;
     597           1 :   PetscCall(PetscObjectGetName((PetscObject)nep,&name));
     598           1 :   PetscCall(PetscViewerASCIIPrintf(viewer,"Lambda_%s = [\n",name));
     599           2 :   for (i=0;i<nep->nconv;i++) {
     600           1 :     k = nep->perm[i];
     601             : #if defined(PETSC_USE_COMPLEX)
     602           1 :     re = PetscRealPart(nep->eigr[k]);
     603           1 :     im = PetscImaginaryPart(nep->eigr[k]);
     604             : #else
     605             :     re = nep->eigr[k];
     606             :     im = nep->eigi[k];
     607             : #endif
     608           1 :     if (im!=0.0) PetscCall(PetscViewerASCIIPrintf(viewer,"%18.16e%+18.16ei\n",(double)re,(double)im));
     609           1 :     else PetscCall(PetscViewerASCIIPrintf(viewer,"%18.16e\n",(double)re));
     610             :   }
     611           1 :   PetscCall(PetscViewerASCIIPrintf(viewer,"];\n"));
     612           1 :   PetscFunctionReturn(PETSC_SUCCESS);
     613             : }
     614             : 
     615             : /*@
     616             :    NEPValuesView - Displays the computed eigenvalues in a viewer.
     617             : 
     618             :    Collective
     619             : 
     620             :    Input Parameters:
     621             : +  nep    - the nonlinear eigensolver context
     622             : -  viewer - the viewer
     623             : 
     624             :    Options Database Key:
     625             : .  -nep_view_values - print computed eigenvalues
     626             : 
     627             :    Level: intermediate
     628             : 
     629             : .seealso: NEPSolve(), NEPVectorsView(), NEPErrorView()
     630             : @*/
     631           3 : PetscErrorCode NEPValuesView(NEP nep,PetscViewer viewer)
     632             : {
     633           3 :   PetscBool         isascii,isdraw,isbinary;
     634           3 :   PetscViewerFormat format;
     635             : #if defined(PETSC_HAVE_HDF5)
     636             :   PetscBool         ishdf5;
     637             : #endif
     638             : 
     639           3 :   PetscFunctionBegin;
     640           3 :   PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
     641           3 :   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)nep),&viewer));
     642           3 :   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
     643           3 :   PetscCheckSameComm(nep,1,viewer,2);
     644           3 :   NEPCheckSolved(nep,1);
     645           3 :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw));
     646           3 :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary));
     647             : #if defined(PETSC_HAVE_HDF5)
     648             :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERHDF5,&ishdf5));
     649             : #endif
     650           3 :   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
     651           3 :   if (isdraw) PetscCall(NEPValuesView_DRAW(nep,viewer));
     652           3 :   else if (isbinary) PetscCall(NEPValuesView_BINARY(nep,viewer));
     653             : #if defined(PETSC_HAVE_HDF5)
     654             :   else if (ishdf5) PetscCall(NEPValuesView_HDF5(nep,viewer));
     655             : #endif
     656           2 :   else if (isascii) {
     657           2 :     PetscCall(PetscViewerGetFormat(viewer,&format));
     658           2 :     switch (format) {
     659           1 :       case PETSC_VIEWER_DEFAULT:
     660             :       case PETSC_VIEWER_ASCII_INFO:
     661             :       case PETSC_VIEWER_ASCII_INFO_DETAIL:
     662           1 :         PetscCall(NEPValuesView_ASCII(nep,viewer));
     663             :         break;
     664           1 :       case PETSC_VIEWER_ASCII_MATLAB:
     665           1 :         PetscCall(NEPValuesView_MATLAB(nep,viewer));
     666             :         break;
     667           0 :       default:
     668           0 :         PetscCall(PetscInfo(nep,"Unsupported viewer format %s\n",PetscViewerFormats[format]));
     669             :     }
     670             :   }
     671           3 :   PetscFunctionReturn(PETSC_SUCCESS);
     672             : }
     673             : 
     674             : /*@
     675             :    NEPValuesViewFromOptions - Processes command line options to determine if/how
     676             :    the computed eigenvalues are to be viewed.
     677             : 
     678             :    Collective
     679             : 
     680             :    Input Parameter:
     681             : .  nep - the nonlinear eigensolver context
     682             : 
     683             :    Level: developer
     684             : 
     685             : .seealso: NEPValuesView()
     686             : @*/
     687         160 : PetscErrorCode NEPValuesViewFromOptions(NEP nep)
     688             : {
     689         160 :   PetscViewer       viewer;
     690         160 :   PetscBool         flg;
     691         160 :   static PetscBool  incall = PETSC_FALSE;
     692         160 :   PetscViewerFormat format;
     693             : 
     694         160 :   PetscFunctionBegin;
     695         160 :   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
     696         160 :   incall = PETSC_TRUE;
     697         160 :   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)nep),((PetscObject)nep)->options,((PetscObject)nep)->prefix,"-nep_view_values",&viewer,&format,&flg));
     698         160 :   if (flg) {
     699           3 :     PetscCall(PetscViewerPushFormat(viewer,format));
     700           3 :     PetscCall(NEPValuesView(nep,viewer));
     701           3 :     PetscCall(PetscViewerPopFormat(viewer));
     702           3 :     PetscCall(PetscViewerDestroy(&viewer));
     703             :   }
     704         160 :   incall = PETSC_FALSE;
     705         160 :   PetscFunctionReturn(PETSC_SUCCESS);
     706             : }
     707             : 
     708             : /*@
     709             :    NEPVectorsView - Outputs computed eigenvectors to a viewer.
     710             : 
     711             :    Collective
     712             : 
     713             :    Input Parameters:
     714             : +  nep    - the nonlinear eigensolver context
     715             : -  viewer - the viewer
     716             : 
     717             :    Options Database Key:
     718             : .  -nep_view_vectors - output eigenvectors.
     719             : 
     720             :    Notes:
     721             :    If PETSc was configured with real scalars, complex conjugate eigenvectors
     722             :    will be viewed as two separate real vectors, one containing the real part
     723             :    and another one containing the imaginary part.
     724             : 
     725             :    If left eigenvectors were computed with a two-sided eigensolver, the right
     726             :    and left eigenvectors are interleaved, that is, the vectors are output in
     727             :    the following order X0, Y0, X1, Y1, X2, Y2, ...
     728             : 
     729             :    Level: intermediate
     730             : 
     731             : .seealso: NEPSolve(), NEPValuesView(), NEPErrorView()
     732             : @*/
     733           3 : PetscErrorCode NEPVectorsView(NEP nep,PetscViewer viewer)
     734             : {
     735           3 :   PetscInt       i,k;
     736           3 :   Vec            xr,xi=NULL;
     737             : 
     738           3 :   PetscFunctionBegin;
     739           3 :   PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
     740           3 :   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)nep),&viewer));
     741           3 :   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
     742           3 :   PetscCheckSameComm(nep,1,viewer,2);
     743           3 :   NEPCheckSolved(nep,1);
     744           3 :   if (nep->nconv) {
     745           3 :     PetscCall(NEPComputeVectors(nep));
     746           3 :     PetscCall(BVCreateVec(nep->V,&xr));
     747             : #if !defined(PETSC_USE_COMPLEX)
     748             :     PetscCall(BVCreateVec(nep->V,&xi));
     749             : #endif
     750           6 :     for (i=0;i<nep->nconv;i++) {
     751           3 :       k = nep->perm[i];
     752           3 :       PetscCall(BV_GetEigenvector(nep->V,k,nep->eigi[k],xr,xi));
     753           3 :       PetscCall(SlepcViewEigenvector(viewer,xr,xi,"X",i,(PetscObject)nep));
     754           3 :       if (nep->twosided) {
     755           1 :         PetscCall(BV_GetEigenvector(nep->W,k,nep->eigi[k],xr,xi));
     756           3 :         PetscCall(SlepcViewEigenvector(viewer,xr,xi,"Y",i,(PetscObject)nep));
     757             :       }
     758             :     }
     759           3 :     PetscCall(VecDestroy(&xr));
     760             : #if !defined(PETSC_USE_COMPLEX)
     761             :     PetscCall(VecDestroy(&xi));
     762             : #endif
     763             :   }
     764           3 :   PetscFunctionReturn(PETSC_SUCCESS);
     765             : }
     766             : 
     767             : /*@
     768             :    NEPVectorsViewFromOptions - Processes command line options to determine if/how
     769             :    the computed eigenvectors are to be viewed.
     770             : 
     771             :    Collective
     772             : 
     773             :    Input Parameter:
     774             : .  nep - the nonlinear eigensolver context
     775             : 
     776             :    Level: developer
     777             : 
     778             : .seealso: NEPVectorsView()
     779             : @*/
     780         160 : PetscErrorCode NEPVectorsViewFromOptions(NEP nep)
     781             : {
     782         160 :   PetscViewer       viewer;
     783         160 :   PetscBool         flg = PETSC_FALSE;
     784         160 :   static PetscBool  incall = PETSC_FALSE;
     785         160 :   PetscViewerFormat format;
     786             : 
     787         160 :   PetscFunctionBegin;
     788         160 :   if (incall) PetscFunctionReturn(PETSC_SUCCESS);
     789         160 :   incall = PETSC_TRUE;
     790         160 :   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)nep),((PetscObject)nep)->options,((PetscObject)nep)->prefix,"-nep_view_vectors",&viewer,&format,&flg));
     791         160 :   if (flg) {
     792           3 :     PetscCall(PetscViewerPushFormat(viewer,format));
     793           3 :     PetscCall(NEPVectorsView(nep,viewer));
     794           3 :     PetscCall(PetscViewerPopFormat(viewer));
     795           3 :     PetscCall(PetscViewerDestroy(&viewer));
     796             :   }
     797         160 :   incall = PETSC_FALSE;
     798         160 :   PetscFunctionReturn(PETSC_SUCCESS);
     799             : }

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