/*
   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
   SLEPc - Scalable Library for Eigenvalue Problem Computations
   Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

   This file is part of SLEPc.
   SLEPc is distributed under a 2-clause BSD license (see LICENSE).
   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
*/
/*
   EPS routines related to monitors
*/

#include <slepc/private/epsimpl.h>   /*I "slepceps.h" I*/
#include <petscdraw.h>

/*
   Runs the user provided monitor routines, if any.
*/
PetscErrorCode EPSMonitor(EPS eps,PetscInt it,PetscInt nconv,PetscScalar *eigr,PetscScalar *eigi,PetscReal *errest,PetscInt nest)
{
  PetscInt       i,n = eps->numbermonitors;

  PetscFunctionBegin;
  for (i=0;i<n;i++) PetscCall((*eps->monitor[i])(eps,it,nconv,eigr,eigi,errest,nest,eps->monitorcontext[i]));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorSet - Sets an ADDITIONAL function to be called at every
   iteration to monitor the error estimates for each requested eigenpair.

   Logically Collective

   Input Parameters:
+  eps            - the linear eigensolver context
.  monitor        - pointer to function (if this is `NULL`, it turns off monitoring),
                    see `EPSMonitorFn`
.  ctx            - [optional] context for private data for the monitor routine
                    (use `NULL` if no context is desired)
-  monitordestroy - [optional] routine that frees monitor context (may be `NULL`),
                    see `PetscCtxDestroyFn` for the calling sequence

   Options Database Keys:
+  -eps_monitor                    - print only the first error estimate
.  -eps_monitor_all                - print error estimates at each iteration
.  -eps_monitor_conv               - print the eigenvalue approximations only when
                                     convergence has been reached
.  -eps_monitor draw::draw_lg      - sets line graph monitor for the first unconverged
                                     approximate eigenvalue
.  -eps_monitor_all draw::draw_lg  - sets line graph monitor for all unconverged
                                     approximate eigenvalues
.  -eps_monitor_conv draw::draw_lg - sets line graph monitor for convergence history
-  -eps_monitor_cancel             - cancels all monitors that have been hardwired into
                                     a code by calls to `EPSMonitorSet()`, but does not cancel
                                     those set via the options database.

   Notes:
   The options database option `-eps_monitor` and related options are the easiest way
   to turn on `EPS` iteration monitoring.

   `EPSMonitorRegister()` provides a way to associate an options database key with `EPS`
   monitor function.

   Several different monitoring routines may be set by calling `EPSMonitorSet()` multiple
   times; all will be called in the order in which they were set.

   Fortran Note:
   Only a single monitor function can be set for each `EPS` object.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorFirst()`, `EPSMonitorAll()`, `EPSMonitorConverged()`, `EPSMonitorFirstDrawLG()`, `EPSMonitorAllDrawLG()`, `EPSMonitorConvergedDrawLG()`, `EPSMonitorCancel()`
@*/
PetscErrorCode EPSMonitorSet(EPS eps,EPSMonitorFn *monitor,PetscCtx ctx,PetscCtxDestroyFn *monitordestroy)
{
  PetscInt  i;
  PetscBool identical;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  for (i=0;i<eps->numbermonitors;i++) {
    PetscCall(PetscMonitorCompare((PetscErrorCode(*)(void))(PetscVoidFn*)monitor,ctx,monitordestroy,(PetscErrorCode (*)(void))(PetscVoidFn*)eps->monitor[i],eps->monitorcontext[i],eps->monitordestroy[i],&identical));
    if (identical) PetscFunctionReturn(PETSC_SUCCESS);
  }
  PetscCheck(eps->numbermonitors<MAXEPSMONITORS,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"Too many EPS monitors set");
  eps->monitor[eps->numbermonitors]           = monitor;
  eps->monitorcontext[eps->numbermonitors]    = ctx;
  eps->monitordestroy[eps->numbermonitors++]  = monitordestroy;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
   EPSMonitorCancel - Clears all monitors for an `EPS` object.

   Logically Collective

   Input Parameter:
.  eps - the linear eigensolver context

   Options Database Key:
.  -eps_monitor_cancel - cancels all monitors that have been hardwired into a code by calls to
                         `EPSMonitorSet()`, but does not cancel those set via the options database.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`
@*/
PetscErrorCode EPSMonitorCancel(EPS eps)
{
  PetscInt       i;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  for (i=0; i<eps->numbermonitors; i++) {
    if (eps->monitordestroy[i]) PetscCall((*eps->monitordestroy[i])(&eps->monitorcontext[i]));
  }
  eps->numbermonitors = 0;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSGetMonitorContext - Gets the monitor context, as set by
   `EPSMonitorSet()` for the FIRST monitor only.

   Not Collective

   Input Parameter:
.  eps - the linear eigensolver context

   Output Parameter:
.  ctx - monitor context

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`
@*/
PetscErrorCode EPSGetMonitorContext(EPS eps,PetscCtxRt ctx)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  *(void**)ctx = eps->monitorcontext[0];
  PetscFunctionReturn(PETSC_SUCCESS);
}

static inline PetscErrorCode EPSMonitorPrintEval(EPS eps,PetscViewer viewer,PetscScalar er,PetscScalar ei)
{
  PetscFunctionBegin;
  if (eps->problem_type==EPS_HEP || eps->problem_type==EPS_GHEP || eps->problem_type==EPS_BSE) PetscCall(PetscViewerASCIIPrintf(viewer," %g",(double)PetscRealPart(er)));
  else {
#if defined(PETSC_USE_COMPLEX)
    PetscCall(PetscViewerASCIIPrintf(viewer," %g%+gi",(double)PetscRealPart(er),(double)PetscImaginaryPart(er)));
#else
    PetscCall(PetscViewerASCIIPrintf(viewer," %g",(double)er));
    if (ei!=0.0) PetscCall(PetscViewerASCIIPrintf(viewer,"%+gi",(double)ei));
#endif
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorFirst - Print the first unconverged approximate value and
   error estimate at each iteration of the eigensolver.

   Collective

   Input Parameters:
+  eps    - the linear eigensolver context
.  its    - iteration number
.  nconv  - number of converged eigenpairs so far
.  eigr   - real part of the eigenvalues
.  eigi   - imaginary part of the eigenvalues
.  errest - error estimates
.  nest   - number of error estimates to display
-  vf     - viewer and format for monitoring

   Options Database Key:
.  -eps_monitor - activates `EPSMonitorFirst()`

   Note:
   This is not called directly by users, rather one calls `EPSMonitorSet()`, with this
   function as an argument, to cause the monitor to be used during the `EPS` solve.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`, `EPSMonitorAll()`, `EPSMonitorConverged()`
@*/
PetscErrorCode EPSMonitorFirst(EPS eps,PetscInt its,PetscInt nconv,PetscScalar eigr[],PetscScalar eigi[],PetscReal errest[],PetscInt nest,PetscViewerAndFormat *vf)
{
  PetscScalar    er,ei;
  PetscViewer    viewer = vf->viewer;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,8);
  if (its==1 && ((PetscObject)eps)->prefix) PetscCall(PetscViewerASCIIPrintf(viewer,"  Eigenvalue approximations and residual norms for %s solve.\n",((PetscObject)eps)->prefix));
  if (nconv<nest) {
    PetscCall(PetscViewerPushFormat(viewer,vf->format));
    PetscCall(PetscViewerASCIIAddTab(viewer,((PetscObject)eps)->tablevel));
    PetscCall(PetscViewerASCIIPrintf(viewer,"%3" PetscInt_FMT " EPS nconv=%" PetscInt_FMT " first unconverged value (error)",its,nconv));
    PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
    er = eigr[nconv]; ei = eigi[nconv];
    PetscCall(STBackTransform(eps->st,1,&er,&ei));
    PetscCall(EPSMonitorPrintEval(eps,viewer,er,ei));
    PetscCall(PetscViewerASCIIPrintf(viewer," (%10.8e)\n",(double)errest[nconv]));
    PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
    PetscCall(PetscViewerASCIISubtractTab(viewer,((PetscObject)eps)->tablevel));
    PetscCall(PetscViewerPopFormat(viewer));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorAll - Print the current approximate values and
   error estimates at each iteration of the eigensolver.

   Collective

   Input Parameters:
+  eps    - the linear eigensolver context
.  its    - iteration number
.  nconv  - number of converged eigenpairs so far
.  eigr   - real part of the eigenvalues
.  eigi   - imaginary part of the eigenvalues
.  errest - error estimates
.  nest   - number of error estimates to display
-  vf     - viewer and format for monitoring

   Options Database Key:
.  -eps_monitor_all - activates `EPSMonitorAll()`

   Note:
   This is not called directly by users, rather one calls `EPSMonitorSet()`, with this
   function as an argument, to cause the monitor to be used during the `EPS` solve.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`, `EPSMonitorFirst()`, `EPSMonitorConverged()`
@*/
PetscErrorCode EPSMonitorAll(EPS eps,PetscInt its,PetscInt nconv,PetscScalar eigr[],PetscScalar eigi[],PetscReal errest[],PetscInt nest,PetscViewerAndFormat *vf)
{
  PetscInt       i;
  PetscScalar    er,ei;
  PetscViewer    viewer = vf->viewer;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,8);
  PetscCall(PetscViewerPushFormat(viewer,vf->format));
  PetscCall(PetscViewerASCIIAddTab(viewer,((PetscObject)eps)->tablevel));
  if (its==1 && ((PetscObject)eps)->prefix) PetscCall(PetscViewerASCIIPrintf(viewer,"  Eigenvalue approximations and residual norms for %s solve.\n",((PetscObject)eps)->prefix));
  PetscCall(PetscViewerASCIIPrintf(viewer,"%3" PetscInt_FMT " EPS nconv=%" PetscInt_FMT " Values (Errors)",its,nconv));
  PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
  for (i=0;i<nest;i++) {
    er = eigr[i]; ei = eigi[i];
    PetscCall(STBackTransform(eps->st,1,&er,&ei));
    PetscCall(EPSMonitorPrintEval(eps,viewer,er,ei));
    PetscCall(PetscViewerASCIIPrintf(viewer," (%10.8e)",(double)errest[i]));
  }
  PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
  PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
  PetscCall(PetscViewerASCIISubtractTab(viewer,((PetscObject)eps)->tablevel));
  PetscCall(PetscViewerPopFormat(viewer));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorConverged - Print the approximate values and
   error estimates as they converge.

   Collective

   Input Parameters:
+  eps    - the linear eigensolver context
.  its    - iteration number
.  nconv  - number of converged eigenpairs so far
.  eigr   - real part of the eigenvalues
.  eigi   - imaginary part of the eigenvalues
.  errest - error estimates
.  nest   - number of error estimates to display
-  vf     - viewer and format for monitoring

   Options Database Key:
.  -eps_monitor_conv - activates `EPSMonitorConverged()`

   Notes:
   This is not called directly by users, rather one calls `EPSMonitorSet()`, with this
   function as an argument, to cause the monitor to be used during the `EPS` solve.

   Call `EPSMonitorConvergedCreate()` to create the context used with this monitor.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`, `EPSMonitorConvergedCreate()`, `EPSMonitorFirst()`, `EPSMonitorAll()`
@*/
PetscErrorCode EPSMonitorConverged(EPS eps,PetscInt its,PetscInt nconv,PetscScalar eigr[],PetscScalar eigi[],PetscReal errest[],PetscInt nest,PetscViewerAndFormat *vf)
{
  PetscInt       i,*oldnconv;
  PetscScalar    er,ei;
  PetscViewer    viewer = vf->viewer;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,8);
  oldnconv = (PetscInt*)vf->data;
  if (its==1 && ((PetscObject)eps)->prefix) PetscCall(PetscViewerASCIIPrintf(viewer,"  Convergence history for %s solve.\n",((PetscObject)eps)->prefix));
  if (its==1) *oldnconv = 0;
  if (*oldnconv!=nconv) {
    PetscCall(PetscViewerPushFormat(viewer,vf->format));
    PetscCall(PetscViewerASCIIAddTab(viewer,((PetscObject)eps)->tablevel));
    for (i=*oldnconv;i<nconv;i++) {
      PetscCall(PetscViewerASCIIPrintf(viewer,"%3" PetscInt_FMT " EPS converged value (error) #%" PetscInt_FMT,its,i));
      PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
      er = eigr[i]; ei = eigi[i];
      PetscCall(STBackTransform(eps->st,1,&er,&ei));
      PetscCall(EPSMonitorPrintEval(eps,viewer,er,ei));
      PetscCall(PetscViewerASCIIPrintf(viewer," (%10.8e)\n",(double)errest[i]));
      PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
    }
    PetscCall(PetscViewerASCIISubtractTab(viewer,((PetscObject)eps)->tablevel));
    PetscCall(PetscViewerPopFormat(viewer));
    *oldnconv = nconv;
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorConvergedCreate - Creates the context for the convergence history monitor.

   Collective

   Input Parameters:
+  viewer - the viewer
.  format - the viewer format
-  ctx    - an optional user context

   Output Parameter:
.  vf     - the viewer and format context

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`
@*/
PetscErrorCode EPSMonitorConvergedCreate(PetscViewer viewer,PetscViewerFormat format,PetscCtx ctx,PetscViewerAndFormat **vf)
{
  PetscInt *oldnconv;

  PetscFunctionBegin;
  PetscCall(PetscViewerAndFormatCreate(viewer,format,vf));
  PetscCall(PetscNew(&oldnconv));
  (*vf)->data = (void*)oldnconv;
  (*vf)->data_destroy = PetscCtxDestroyDefault;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorFirstDrawLG - Plots the error estimate of the first unconverged
   approximation at each iteration of the eigensolver.

   Collective

   Input Parameters:
+  eps    - the linear eigensolver context
.  its    - iteration number
.  nconv  - number of converged eigenpairs so far
.  eigr   - real part of the eigenvalues
.  eigi   - imaginary part of the eigenvalues
.  errest - error estimates
.  nest   - number of error estimates to display
-  vf     - viewer and format for monitoring

   Options Database Key:
.  -eps_monitor draw::draw_lg - activates `EPSMonitorFirstDrawLG()`

   Notes:
   This is not called directly by users, rather one calls `EPSMonitorSet()`, with this
   function as an argument, to cause the monitor to be used during the `EPS` solve.

   Call `EPSMonitorFirstDrawLGCreate()` to create the context used with this monitor.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`, `EPSMonitorFirstDrawLGCreate()`
@*/
PetscErrorCode EPSMonitorFirstDrawLG(EPS eps,PetscInt its,PetscInt nconv,PetscScalar eigr[],PetscScalar eigi[],PetscReal errest[],PetscInt nest,PetscViewerAndFormat *vf)
{
  PetscViewer    viewer = vf->viewer;
  PetscDrawLG    lg;
  PetscReal      x,y;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,8);
  PetscCall(PetscViewerPushFormat(viewer,vf->format));
  PetscCall(PetscViewerDrawGetDrawLG(viewer,0,&lg));
  if (its==1) {
    PetscCall(PetscDrawLGReset(lg));
    PetscCall(PetscDrawLGSetDimension(lg,1));
    PetscCall(PetscDrawLGSetLimits(lg,1,1,PetscLog10Real(eps->tol)-2,0.0));
  }
  if (nconv<nest) {
    x = (PetscReal)its;
    if (errest[nconv] > 0.0) y = PetscLog10Real(errest[nconv]);
    else y = 0.0;
    PetscCall(PetscDrawLGAddPoint(lg,&x,&y));
    if (its <= 20 || !(its % 5) || eps->reason) {
      PetscCall(PetscDrawLGDraw(lg));
      PetscCall(PetscDrawLGSave(lg));
    }
  }
  PetscCall(PetscViewerPopFormat(viewer));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorFirstDrawLGCreate - Creates the plotter for the first error estimate.

   Collective

   Input Parameters:
+  viewer - the viewer
.  format - the viewer format
-  ctx    - an optional user context

   Output Parameter:
.  vf     - the viewer and format context

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`
@*/
PetscErrorCode EPSMonitorFirstDrawLGCreate(PetscViewer viewer,PetscViewerFormat format,void *ctx,PetscViewerAndFormat **vf)
{
  PetscFunctionBegin;
  PetscCall(PetscViewerAndFormatCreate(viewer,format,vf));
  (*vf)->data = ctx;
  PetscCall(PetscViewerMonitorLGSetUp(viewer,NULL,"First Error Estimate","Log Error Estimate",1,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorAllDrawLG - Plots the error estimate of all unconverged
   approximations at each iteration of the eigensolver.

   Collective

   Input Parameters:
+  eps    - the linear eigensolver context
.  its    - iteration number
.  nconv  - number of converged eigenpairs so far
.  eigr   - real part of the eigenvalues
.  eigi   - imaginary part of the eigenvalues
.  errest - error estimates
.  nest   - number of error estimates to display
-  vf     - viewer and format for monitoring

   Options Database Key:
.  -eps_monitor_all draw::draw_lg - activates `EPSMonitorAllDrawLG()`

   Notes:
   This is not called directly by users, rather one calls `EPSMonitorSet()`, with this
   function as an argument, to cause the monitor to be used during the `EPS` solve.

   Call `EPSMonitorAllDrawLGCreate()` to create the context used with this monitor.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`, `EPSMonitorAllDrawLGCreate()`
@*/
PetscErrorCode EPSMonitorAllDrawLG(EPS eps,PetscInt its,PetscInt nconv,PetscScalar eigr[],PetscScalar eigi[],PetscReal errest[],PetscInt nest,PetscViewerAndFormat *vf)
{
  PetscViewer    viewer = vf->viewer;
  PetscDrawLG    lg;
  PetscInt       i,n = PetscMin(eps->nev,255);
  PetscReal      *x,*y;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,8);
  PetscCall(PetscViewerPushFormat(viewer,vf->format));
  PetscCall(PetscViewerDrawGetDrawLG(viewer,0,&lg));
  if (its==1) {
    PetscCall(PetscDrawLGReset(lg));
    PetscCall(PetscDrawLGSetDimension(lg,n));
    PetscCall(PetscDrawLGSetLimits(lg,1,1,PetscLog10Real(eps->tol)-2,0.0));
  }
  PetscCall(PetscMalloc2(n,&x,n,&y));
  for (i=0;i<n;i++) {
    x[i] = (PetscReal)its;
    if (i < nest && errest[i] > 0.0) y[i] = PetscLog10Real(errest[i]);
    else y[i] = 0.0;
  }
  PetscCall(PetscDrawLGAddPoint(lg,x,y));
  if (its <= 20 || !(its % 5) || eps->reason) {
    PetscCall(PetscDrawLGDraw(lg));
    PetscCall(PetscDrawLGSave(lg));
  }
  PetscCall(PetscFree2(x,y));
  PetscCall(PetscViewerPopFormat(viewer));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorAllDrawLGCreate - Creates the plotter for all the error estimates.

   Collective

   Input Parameters:
+  viewer - the viewer
.  format - the viewer format
-  ctx    - an optional user context

   Output Parameter:
.  vf     - the viewer and format context

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`
@*/
PetscErrorCode EPSMonitorAllDrawLGCreate(PetscViewer viewer,PetscViewerFormat format,void *ctx,PetscViewerAndFormat **vf)
{
  PetscFunctionBegin;
  PetscCall(PetscViewerAndFormatCreate(viewer,format,vf));
  (*vf)->data = ctx;
  PetscCall(PetscViewerMonitorLGSetUp(viewer,NULL,"All Error Estimates","Log Error Estimate",1,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorConvergedDrawLG - Plots the number of converged eigenvalues
   at each iteration of the eigensolver.

   Collective

   Input Parameters:
+  eps    - the linear eigensolver context
.  its    - iteration number
.  nconv  - number of converged eigenpairs so far
.  eigr   - real part of the eigenvalues
.  eigi   - imaginary part of the eigenvalues
.  errest - error estimates
.  nest   - number of error estimates to display
-  vf     - viewer and format for monitoring

   Options Database Key:
.  -eps_monitor_conv draw::draw_lg - activates `EPSMonitorConvergedDrawLG()`

   Notes:
   This is not called directly by users, rather one calls `EPSMonitorSet()`, with this
   function as an argument, to cause the monitor to be used during the `EPS` solve.

   Call `EPSMonitorConvergedDrawLGCreate()` to create the context used with this monitor.

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`, `EPSMonitorConvergedDrawLGCreate()`
@*/
PetscErrorCode EPSMonitorConvergedDrawLG(EPS eps,PetscInt its,PetscInt nconv,PetscScalar eigr[],PetscScalar eigi[],PetscReal errest[],PetscInt nest,PetscViewerAndFormat *vf)
{
  PetscViewer      viewer = vf->viewer;
  PetscDrawLG      lg;
  PetscReal        x,y;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
  PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,8);
  PetscCall(PetscViewerPushFormat(viewer,vf->format));
  PetscCall(PetscViewerDrawGetDrawLG(viewer,0,&lg));
  if (its==1) {
    PetscCall(PetscDrawLGReset(lg));
    PetscCall(PetscDrawLGSetDimension(lg,1));
    PetscCall(PetscDrawLGSetLimits(lg,1,1,0,eps->nev));
  }
  x = (PetscReal)its;
  y = (PetscReal)eps->nconv;
  PetscCall(PetscDrawLGAddPoint(lg,&x,&y));
  if (its <= 20 || !(its % 5) || eps->reason) {
    PetscCall(PetscDrawLGDraw(lg));
    PetscCall(PetscDrawLGSave(lg));
  }
  PetscCall(PetscViewerPopFormat(viewer));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
   EPSMonitorConvergedDrawLGCreate - Creates the plotter for the convergence history.

   Collective

   Input Parameters:
+  viewer - the viewer
.  format - the viewer format
-  ctx    - an optional user context

   Output Parameter:
.  vf     - the viewer and format context

   Level: intermediate

.seealso: [](ch:eps), `EPSMonitorSet()`
@*/
PetscErrorCode EPSMonitorConvergedDrawLGCreate(PetscViewer viewer,PetscViewerFormat format,void *ctx,PetscViewerAndFormat **vf)
{
  PetscInt *oldnconv;

  PetscFunctionBegin;
  PetscCall(PetscViewerAndFormatCreate(viewer,format,vf));
  PetscCall(PetscNew(&oldnconv));
  (*vf)->data = (void*)oldnconv;
  (*vf)->data_destroy = PetscCtxDestroyDefault;
  PetscCall(PetscViewerMonitorLGSetUp(viewer,NULL,"Convergence History","Number Converged",1,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300));
  PetscFunctionReturn(PETSC_SUCCESS);
}
