adapt/interface/tsadapt.c

#include <petsc/private/tsimpl.h> /*I  "petscts.h" I*/

PetscClassId TSADAPT_CLASSID;

static PetscFunctionList TSAdaptList;
static PetscBool         TSAdaptPackageInitialized;
static PetscBool         TSAdaptRegisterAllCalled;

PETSC_EXTERN PetscErrorCode TSAdaptCreate_None(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptCreate_Basic(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptCreate_DSP(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptCreate_CFL(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptCreate_GLEE(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptCreate_History(TSAdapt);

/*@C
  TSAdaptRegister -  adds a TSAdapt implementation

  Not Collective

  Input Parameters:
+ sname    - name of user-defined adaptivity scheme
- function - routine to create method context

  Level: advanced

  Notes:
  `TSAdaptRegister()` may be called multiple times to add several user-defined families.

  Example Usage:
.vb
   TSAdaptRegister("my_scheme", MySchemeCreate);
.ve

  Then, your scheme can be chosen with the procedural interface via
$     TSAdaptSetType(ts, "my_scheme")
  or at runtime via the option
$     -ts_adapt_type my_scheme

.seealso: [](ch_ts), `TSAdaptRegisterAll()`
@*/
PetscErrorCode TSAdaptRegister(const char sname[], PetscErrorCode (*function)(TSAdapt))
{
  PetscFunctionBegin;
  PetscCall(TSAdaptInitializePackage());
  PetscCall(PetscFunctionListAdd(&TSAdaptList, sname, function));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptRegisterAll - Registers all of the adaptivity schemes in `TSAdapt`

  Not Collective

  Level: advanced

.seealso: [](ch_ts), `TSAdaptRegisterDestroy()`
@*/
PetscErrorCode TSAdaptRegisterAll(void)
{
  PetscFunctionBegin;
  if (TSAdaptRegisterAllCalled) PetscFunctionReturn(PETSC_SUCCESS);
  TSAdaptRegisterAllCalled = PETSC_TRUE;
  PetscCall(TSAdaptRegister(TSADAPTNONE, TSAdaptCreate_None));
  PetscCall(TSAdaptRegister(TSADAPTBASIC, TSAdaptCreate_Basic));
  PetscCall(TSAdaptRegister(TSADAPTDSP, TSAdaptCreate_DSP));
  PetscCall(TSAdaptRegister(TSADAPTCFL, TSAdaptCreate_CFL));
  PetscCall(TSAdaptRegister(TSADAPTGLEE, TSAdaptCreate_GLEE));
  PetscCall(TSAdaptRegister(TSADAPTHISTORY, TSAdaptCreate_History));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptFinalizePackage - This function destroys everything in the `TS` package. It is
  called from `PetscFinalize()`.

  Level: developer

.seealso: [](ch_ts), `PetscFinalize()`
@*/
PetscErrorCode TSAdaptFinalizePackage(void)
{
  PetscFunctionBegin;
  PetscCall(PetscFunctionListDestroy(&TSAdaptList));
  TSAdaptPackageInitialized = PETSC_FALSE;
  TSAdaptRegisterAllCalled  = PETSC_FALSE;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptInitializePackage - This function initializes everything in the `TSAdapt` package. It is
  called from `TSInitializePackage()`.

  Level: developer

.seealso: [](ch_ts), `PetscInitialize()`
@*/
PetscErrorCode TSAdaptInitializePackage(void)
{
  PetscFunctionBegin;
  if (TSAdaptPackageInitialized) PetscFunctionReturn(PETSC_SUCCESS);
  TSAdaptPackageInitialized = PETSC_TRUE;
  PetscCall(PetscClassIdRegister("TSAdapt", &TSADAPT_CLASSID));
  PetscCall(TSAdaptRegisterAll());
  PetscCall(PetscRegisterFinalize(TSAdaptFinalizePackage));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptSetType - sets the approach used for the error adapter

  Logicially Collective

  Input Parameters:
+ adapt - the `TS` adapter, most likely obtained with `TSGetAdapt()`
- type  - one of the `TSAdaptType`

  Options Database Key:
. -ts_adapt_type <basic or dsp or none> - to set the adapter type

  Level: intermediate

.seealso: [](ch_ts), `TSGetAdapt()`, `TSAdaptDestroy()`, `TSAdaptType`, `TSAdaptGetType()`
@*/
PetscErrorCode TSAdaptSetType(TSAdapt adapt, TSAdaptType type)
{
  PetscBool match;
  PetscErrorCode (*r)(TSAdapt);

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscAssertPointer(type, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)adapt, type, &match));
  if (match) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCall(PetscFunctionListFind(TSAdaptList, type, &r));
  PetscCheck(r, PetscObjectComm((PetscObject)adapt), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown TSAdapt type \"%s\" given", type);
  PetscTryTypeMethod(adapt, destroy);
  PetscCall(PetscMemzero(adapt->ops, sizeof(struct _TSAdaptOps)));
  PetscCall(PetscObjectChangeTypeName((PetscObject)adapt, type));
  PetscCall((*r)(adapt));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptGetType - gets the `TS` adapter method type (as a string).

  Not Collective

  Input Parameter:
. adapt - The `TS` adapter, most likely obtained with `TSGetAdapt()`

  Output Parameter:
. type - The name of `TS` adapter method

  Level: intermediate

.seealso: `TSAdapt`, `TSAdaptType`, `TSAdaptSetType()`
@*/
PetscErrorCode TSAdaptGetType(TSAdapt adapt, TSAdaptType *type)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscAssertPointer(type, 2);
  *type = ((PetscObject)adapt)->type_name;
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode TSAdaptSetOptionsPrefix(TSAdapt adapt, const char prefix[])
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscCall(PetscObjectSetOptionsPrefix((PetscObject)adapt, prefix));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptLoad - Loads a TSAdapt that has been stored in binary with `TSAdaptView()`.

  Collective

  Input Parameters:
+ adapt  - the newly loaded `TSAdapt`, this needs to have been created with `TSAdaptCreate()` or
           some related function before a call to `TSAdaptLoad()`.
- viewer - binary file viewer, obtained from `PetscViewerBinaryOpen()` or
           HDF5 file viewer, obtained from `PetscViewerHDF5Open()`

  Level: intermediate

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

.seealso: [](ch_ts), `PetscViewerBinaryOpen()`, `TSAdaptView()`, `MatLoad()`, `VecLoad()`, `TSAdapt`
@*/
PetscErrorCode TSAdaptLoad(TSAdapt adapt, PetscViewer viewer)
{
  PetscBool isbinary;
  char      type[256];

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
  PetscCheck(isbinary, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerBinaryOpen()");

  PetscCall(PetscViewerBinaryRead(viewer, type, 256, NULL, PETSC_CHAR));
  PetscCall(TSAdaptSetType(adapt, type));
  PetscTryTypeMethod(adapt, load, viewer);
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode TSAdaptView(TSAdapt adapt, PetscViewer viewer)
{
  PetscBool iascii, isbinary, isnone, isglee;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)adapt), &viewer));
  PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
  PetscCheckSameComm(adapt, 1, viewer, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
  PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
  if (iascii) {
    PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)adapt, viewer));
    PetscCall(PetscObjectTypeCompare((PetscObject)adapt, TSADAPTNONE, &isnone));
    PetscCall(PetscObjectTypeCompare((PetscObject)adapt, TSADAPTGLEE, &isglee));
    if (!isnone) {
      if (adapt->always_accept) PetscCall(PetscViewerASCIIPrintf(viewer, "  always accepting steps\n"));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  safety factor %g\n", (double)adapt->safety));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  extra safety factor after step rejection %g\n", (double)adapt->reject_safety));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  clip fastest increase %g\n", (double)adapt->clip[1]));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  clip fastest decrease %g\n", (double)adapt->clip[0]));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  maximum allowed timestep %g\n", (double)adapt->dt_max));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  minimum allowed timestep %g\n", (double)adapt->dt_min));
      PetscCall(PetscViewerASCIIPrintf(viewer, "  maximum solution absolute value to be ignored %g\n", (double)adapt->ignore_max));
    }
    if (isglee) {
      if (adapt->glee_use_local) {
        PetscCall(PetscViewerASCIIPrintf(viewer, "  GLEE uses local error control\n"));
      } else {
        PetscCall(PetscViewerASCIIPrintf(viewer, "  GLEE uses global error control\n"));
      }
    }
    PetscCall(PetscViewerASCIIPushTab(viewer));
    PetscTryTypeMethod(adapt, view, viewer);
    PetscCall(PetscViewerASCIIPopTab(viewer));
  } else if (isbinary) {
    char type[256];

    /* need to save FILE_CLASS_ID for adapt class */
    PetscCall(PetscStrncpy(type, ((PetscObject)adapt)->type_name, 256));
    PetscCall(PetscViewerBinaryWrite(viewer, type, 256, PETSC_CHAR));
  } else PetscTryTypeMethod(adapt, view, viewer);
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptReset - Resets a `TSAdapt` context to its defaults

  Collective

  Input Parameter:
. adapt - the `TSAdapt` context obtained from `TSGetAdapt()` or `TSAdaptCreate()`

  Level: developer

.seealso: [](ch_ts), `TSGetAdapt()`, `TSAdapt`, `TSAdaptCreate()`, `TSAdaptDestroy()`
@*/
PetscErrorCode TSAdaptReset(TSAdapt adapt)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscTryTypeMethod(adapt, reset);
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode TSAdaptDestroy(TSAdapt *adapt)
{
  PetscFunctionBegin;
  if (!*adapt) PetscFunctionReturn(PETSC_SUCCESS);
  PetscValidHeaderSpecific(*adapt, TSADAPT_CLASSID, 1);
  if (--((PetscObject)(*adapt))->refct > 0) {
    *adapt = NULL;
    PetscFunctionReturn(PETSC_SUCCESS);
  }

  PetscCall(TSAdaptReset(*adapt));

  PetscTryTypeMethod((*adapt), destroy);
  PetscCall(PetscViewerDestroy(&(*adapt)->monitor));
  PetscCall(PetscHeaderDestroy(adapt));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetMonitor - Monitor the choices made by the adaptive controller

  Collective

  Input Parameters:
+ adapt - adaptive controller context
- flg   - `PETSC_TRUE` to active a monitor, `PETSC_FALSE` to disable

  Options Database Key:
. -ts_adapt_monitor - to turn on monitoring

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSGetAdapt()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptSetMonitor(TSAdapt adapt, PetscBool flg)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveBool(adapt, flg, 2);
  if (flg) {
    if (!adapt->monitor) PetscCall(PetscViewerASCIIOpen(PetscObjectComm((PetscObject)adapt), "stdout", &adapt->monitor));
  } else {
    PetscCall(PetscViewerDestroy(&adapt->monitor));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptSetCheckStage - Set a callback to check convergence for a stage

  Logically Collective

  Input Parameters:
+ adapt - adaptive controller context
- func  - stage check function

  Calling sequence:
+ adapt  - adaptive controller context
. ts     - time stepping context
. t      - current time
. Y      - current solution vector
- accept - pending choice of whether to accept, can be modified by this routine

  Level: advanced

.seealso: [](ch_ts), `TSAdapt`, `TSGetAdapt()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptSetCheckStage(TSAdapt adapt, PetscErrorCode (*func)(TSAdapt adapt, TS ts, PetscReal t, Vec Y, PetscBool *accept))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  adapt->checkstage = func;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetAlwaysAccept - Set whether to always accept steps regardless of
  any error or stability condition not meeting the prescribed goal.

  Logically Collective

  Input Parameters:
+ adapt - time step adaptivity context, usually gotten with `TSGetAdapt()`
- flag  - whether to always accept steps

  Options Database Key:
. -ts_adapt_always_accept - to always accept steps

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSGetAdapt()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptSetAlwaysAccept(TSAdapt adapt, PetscBool flag)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveBool(adapt, flag, 2);
  adapt->always_accept = flag;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetSafety - Set safety factors for time step adaptor

  Logically Collective

  Input Parameters:
+ adapt         - adaptive controller context
. safety        - safety factor relative to target error/stability goal
- reject_safety - extra safety factor to apply if the last step was rejected

  Options Database Keys:
+ -ts_adapt_safety <safety>               - to set safety factor
- -ts_adapt_reject_safety <reject_safety> - to set reject safety factor

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptGetSafety()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptSetSafety(TSAdapt adapt, PetscReal safety, PetscReal reject_safety)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveReal(adapt, safety, 2);
  PetscValidLogicalCollectiveReal(adapt, reject_safety, 3);
  PetscCheck(safety == (PetscReal)PETSC_DEFAULT || safety >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Safety factor %g must be non negative", (double)safety);
  PetscCheck(safety == (PetscReal)PETSC_DEFAULT || safety <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Safety factor %g must be less than one", (double)safety);
  PetscCheck(reject_safety == (PetscReal)PETSC_DEFAULT || reject_safety >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Reject safety factor %g must be non negative", (double)reject_safety);
  PetscCheck(reject_safety == (PetscReal)PETSC_DEFAULT || reject_safety <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Reject safety factor %g must be less than one", (double)reject_safety);
  if (safety != (PetscReal)PETSC_DEFAULT) adapt->safety = safety;
  if (reject_safety != (PetscReal)PETSC_DEFAULT) adapt->reject_safety = reject_safety;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptGetSafety - Get safety factors for time step adapter

  Not Collective

  Input Parameter:
. adapt - adaptive controller context

  Output Parameters:
+ safety        - safety factor relative to target error/stability goal
- reject_safety - extra safety factor to apply if the last step was rejected

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptSetSafety()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptGetSafety(TSAdapt adapt, PetscReal *safety, PetscReal *reject_safety)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  if (safety) PetscAssertPointer(safety, 2);
  if (reject_safety) PetscAssertPointer(reject_safety, 3);
  if (safety) *safety = adapt->safety;
  if (reject_safety) *reject_safety = adapt->reject_safety;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetMaxIgnore - Set error estimation threshold. Solution components below this threshold value will not be considered when computing error norms
  for time step adaptivity (in absolute value). A negative value (default) of the threshold leads to considering all solution components.

  Logically Collective

  Input Parameters:
+ adapt      - adaptive controller context
- max_ignore - threshold for solution components that are ignored during error estimation

  Options Database Key:
. -ts_adapt_max_ignore <max_ignore> - to set the threshold

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptGetMaxIgnore()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptSetMaxIgnore(TSAdapt adapt, PetscReal max_ignore)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveReal(adapt, max_ignore, 2);
  adapt->ignore_max = max_ignore;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptGetMaxIgnore - Get error estimation threshold. Solution components below this threshold value will not be considered when computing error norms
  for time step adaptivity (in absolute value).

  Not Collective

  Input Parameter:
. adapt - adaptive controller context

  Output Parameter:
. max_ignore - threshold for solution components that are ignored during error estimation

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptSetMaxIgnore()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptGetMaxIgnore(TSAdapt adapt, PetscReal *max_ignore)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscAssertPointer(max_ignore, 2);
  *max_ignore = adapt->ignore_max;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetClip - Sets the admissible decrease/increase factor in step size in the time step adapter

  Logically collective

  Input Parameters:
+ adapt - adaptive controller context
. low   - admissible decrease factor
- high  - admissible increase factor

  Options Database Key:
. -ts_adapt_clip <low>,<high> - to set admissible time step decrease and increase factors

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptChoose()`, `TSAdaptGetClip()`, `TSAdaptSetScaleSolveFailed()`
@*/
PetscErrorCode TSAdaptSetClip(TSAdapt adapt, PetscReal low, PetscReal high)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveReal(adapt, low, 2);
  PetscValidLogicalCollectiveReal(adapt, high, 3);
  PetscCheck(low == (PetscReal)PETSC_DEFAULT || low >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Decrease factor %g must be non negative", (double)low);
  PetscCheck(low == (PetscReal)PETSC_DEFAULT || low <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Decrease factor %g must be less than one", (double)low);
  PetscCheck(high == (PetscReal)PETSC_DEFAULT || high >= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Increase factor %g must be greater than one", (double)high);
  if (low != (PetscReal)PETSC_DEFAULT) adapt->clip[0] = low;
  if (high != (PetscReal)PETSC_DEFAULT) adapt->clip[1] = high;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptGetClip - Gets the admissible decrease/increase factor in step size in the time step adapter

  Not Collective

  Input Parameter:
. adapt - adaptive controller context

  Output Parameters:
+ low  - optional, admissible decrease factor
- high - optional, admissible increase factor

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptChoose()`, `TSAdaptSetClip()`, `TSAdaptSetScaleSolveFailed()`
@*/
PetscErrorCode TSAdaptGetClip(TSAdapt adapt, PetscReal *low, PetscReal *high)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  if (low) PetscAssertPointer(low, 2);
  if (high) PetscAssertPointer(high, 3);
  if (low) *low = adapt->clip[0];
  if (high) *high = adapt->clip[1];
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetScaleSolveFailed - Scale step size by this factor if solve fails

  Logically Collective

  Input Parameters:
+ adapt - adaptive controller context
- scale - scale

  Options Database Key:
. -ts_adapt_scale_solve_failed <scale> - to set scale step by this factor if solve fails

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptChoose()`, `TSAdaptGetScaleSolveFailed()`, `TSAdaptGetClip()`
@*/
PetscErrorCode TSAdaptSetScaleSolveFailed(TSAdapt adapt, PetscReal scale)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveReal(adapt, scale, 2);
  PetscCheck(scale == (PetscReal)PETSC_DEFAULT || scale > 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Scale factor %g must be positive", (double)scale);
  PetscCheck(scale == (PetscReal)PETSC_DEFAULT || scale <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Scale factor %g must be less than one", (double)scale);
  if (scale != (PetscReal)PETSC_DEFAULT) adapt->scale_solve_failed = scale;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptGetScaleSolveFailed - Gets the admissible decrease/increase factor in step size

  Not Collective

  Input Parameter:
. adapt - adaptive controller context

  Output Parameter:
. scale - scale factor

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptChoose()`, `TSAdaptSetScaleSolveFailed()`, `TSAdaptSetClip()`
@*/
PetscErrorCode TSAdaptGetScaleSolveFailed(TSAdapt adapt, PetscReal *scale)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  if (scale) PetscAssertPointer(scale, 2);
  if (scale) *scale = adapt->scale_solve_failed;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetStepLimits - Set the minimum and maximum step sizes to be considered by the time step controller

  Logically Collective

  Input Parameters:
+ adapt - time step adaptivity context, usually gotten with `TSGetAdapt()`
. hmin  - minimum time step
- hmax  - maximum time step

  Options Database Keys:
+ -ts_adapt_dt_min <min> - to set minimum time step
- -ts_adapt_dt_max <max> - to set maximum time step

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptGetStepLimits()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptSetStepLimits(TSAdapt adapt, PetscReal hmin, PetscReal hmax)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidLogicalCollectiveReal(adapt, hmin, 2);
  PetscValidLogicalCollectiveReal(adapt, hmax, 3);
  PetscCheck(hmin == (PetscReal)PETSC_DEFAULT || hmin >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Minimum time step %g must be non negative", (double)hmin);
  PetscCheck(hmax == (PetscReal)PETSC_DEFAULT || hmax >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Minimum time step %g must be non negative", (double)hmax);
  if (hmin != (PetscReal)PETSC_DEFAULT) adapt->dt_min = hmin;
  if (hmax != (PetscReal)PETSC_DEFAULT) adapt->dt_max = hmax;
  hmin = adapt->dt_min;
  hmax = adapt->dt_max;
  PetscCheck(hmax > hmin, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Maximum time step %g must greater than minimum time step %g", (double)hmax, (double)hmin);
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptGetStepLimits - Get the minimum and maximum step sizes to be considered by the time step controller

  Not Collective

  Input Parameter:
. adapt - time step adaptivity context, usually gotten with `TSGetAdapt()`

  Output Parameters:
+ hmin - minimum time step
- hmax - maximum time step

  Level: intermediate

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptSetStepLimits()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptGetStepLimits(TSAdapt adapt, PetscReal *hmin, PetscReal *hmax)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  if (hmin) PetscAssertPointer(hmin, 2);
  if (hmax) PetscAssertPointer(hmax, 3);
  if (hmin) *hmin = adapt->dt_min;
  if (hmax) *hmax = adapt->dt_max;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptSetFromOptions - Sets various `TSAdapt` parameters from user options.

  Collective

  Input Parameters:
+ adapt              - the `TSAdapt` context
- PetscOptionsObject - object created by `PetscOptionsBegin()`

  Options Database Keys:
+ -ts_adapt_type <type>                - algorithm to use for adaptivity
. -ts_adapt_always_accept              - always accept steps regardless of error/stability goals
. -ts_adapt_safety <safety>            - safety factor relative to target error/stability goal
. -ts_adapt_reject_safety <safety>     - extra safety factor to apply if the last step was rejected
. -ts_adapt_clip <low,high>            - admissible time step decrease and increase factors
. -ts_adapt_dt_min <min>               - minimum timestep to use
. -ts_adapt_dt_max <max>               - maximum timestep to use
. -ts_adapt_scale_solve_failed <scale> - scale timestep by this factor if a solve fails
. -ts_adapt_wnormtype <2 or infinity>  - type of norm for computing error estimates
- -ts_adapt_time_step_increase_delay   - number of timesteps to delay increasing the time step after it has been decreased due to failed solver

  Level: advanced

  Note:
  This function is automatically called by `TSSetFromOptions()`

.seealso: [](ch_ts), `TSAdapt`, `TSGetAdapt()`, `TSAdaptSetType()`, `TSAdaptSetAlwaysAccept()`, `TSAdaptSetSafety()`,
          `TSAdaptSetClip()`, `TSAdaptSetScaleSolveFailed()`, `TSAdaptSetStepLimits()`, `TSAdaptSetMonitor()`
@*/
PetscErrorCode TSAdaptSetFromOptions(TSAdapt adapt, PetscOptionItems *PetscOptionsObject)
{
  char      type[256] = TSADAPTBASIC;
  PetscReal safety, reject_safety, clip[2], scale, hmin, hmax;
  PetscBool set, flg;
  PetscInt  two;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  /* This should use PetscOptionsBegin() if/when this becomes an object used outside of TS, but currently this
   * function can only be called from inside TSSetFromOptions()  */
  PetscOptionsHeadBegin(PetscOptionsObject, "TS Adaptivity options");
  PetscCall(PetscOptionsFList("-ts_adapt_type", "Algorithm to use for adaptivity", "TSAdaptSetType", TSAdaptList, ((PetscObject)adapt)->type_name ? ((PetscObject)adapt)->type_name : type, type, sizeof(type), &flg));
  if (flg || !((PetscObject)adapt)->type_name) PetscCall(TSAdaptSetType(adapt, type));

  PetscCall(PetscOptionsBool("-ts_adapt_always_accept", "Always accept the step", "TSAdaptSetAlwaysAccept", adapt->always_accept, &flg, &set));
  if (set) PetscCall(TSAdaptSetAlwaysAccept(adapt, flg));

  safety        = adapt->safety;
  reject_safety = adapt->reject_safety;
  PetscCall(PetscOptionsReal("-ts_adapt_safety", "Safety factor relative to target error/stability goal", "TSAdaptSetSafety", safety, &safety, &set));
  PetscCall(PetscOptionsReal("-ts_adapt_reject_safety", "Extra safety factor to apply if the last step was rejected", "TSAdaptSetSafety", reject_safety, &reject_safety, &flg));
  if (set || flg) PetscCall(TSAdaptSetSafety(adapt, safety, reject_safety));

  two     = 2;
  clip[0] = adapt->clip[0];
  clip[1] = adapt->clip[1];
  PetscCall(PetscOptionsRealArray("-ts_adapt_clip", "Admissible decrease/increase factor in step size", "TSAdaptSetClip", clip, &two, &set));
  PetscCheck(!set || (two == 2), PetscObjectComm((PetscObject)adapt), PETSC_ERR_ARG_OUTOFRANGE, "Must give exactly two values to -ts_adapt_clip");
  if (set) PetscCall(TSAdaptSetClip(adapt, clip[0], clip[1]));

  hmin = adapt->dt_min;
  hmax = adapt->dt_max;
  PetscCall(PetscOptionsReal("-ts_adapt_dt_min", "Minimum time step considered", "TSAdaptSetStepLimits", hmin, &hmin, &set));
  PetscCall(PetscOptionsReal("-ts_adapt_dt_max", "Maximum time step considered", "TSAdaptSetStepLimits", hmax, &hmax, &flg));
  if (set || flg) PetscCall(TSAdaptSetStepLimits(adapt, hmin, hmax));

  PetscCall(PetscOptionsReal("-ts_adapt_max_ignore", "Adaptor ignores (absolute) solution values smaller than this value", "", adapt->ignore_max, &adapt->ignore_max, &set));
  PetscCall(PetscOptionsBool("-ts_adapt_glee_use_local", "GLEE adaptor uses local error estimation for step control", "", adapt->glee_use_local, &adapt->glee_use_local, &set));

  PetscCall(PetscOptionsReal("-ts_adapt_scale_solve_failed", "Scale step by this factor if solve fails", "TSAdaptSetScaleSolveFailed", adapt->scale_solve_failed, &scale, &set));
  if (set) PetscCall(TSAdaptSetScaleSolveFailed(adapt, scale));

  PetscCall(PetscOptionsEnum("-ts_adapt_wnormtype", "Type of norm computed for error estimation", "", NormTypes, (PetscEnum)adapt->wnormtype, (PetscEnum *)&adapt->wnormtype, NULL));
  PetscCheck(adapt->wnormtype == NORM_2 || adapt->wnormtype == NORM_INFINITY, PetscObjectComm((PetscObject)adapt), PETSC_ERR_SUP, "Only 2-norm and infinite norm supported");

  PetscCall(PetscOptionsInt("-ts_adapt_time_step_increase_delay", "Number of timesteps to delay increasing the time step after it has been decreased due to failed solver", "TSAdaptSetTimeStepIncreaseDelay", adapt->timestepjustdecreased_delay, &adapt->timestepjustdecreased_delay, NULL));

  PetscCall(PetscOptionsBool("-ts_adapt_monitor", "Print choices made by adaptive controller", "TSAdaptSetMonitor", adapt->monitor ? PETSC_TRUE : PETSC_FALSE, &flg, &set));
  if (set) PetscCall(TSAdaptSetMonitor(adapt, flg));

  PetscTryTypeMethod(adapt, setfromoptions, PetscOptionsObject);
  PetscOptionsHeadEnd();
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptCandidatesClear - clear any previously set candidate schemes

  Logically Collective

  Input Parameter:
. adapt - adaptive controller

  Level: developer

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptCreate()`, `TSAdaptCandidateAdd()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptCandidatesClear(TSAdapt adapt)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscCall(PetscMemzero(&adapt->candidates, sizeof(adapt->candidates)));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptCandidateAdd - add a candidate scheme for the adaptive controller to select from

  Logically Collective; No Fortran Support

  Input Parameters:
+ adapt      - time step adaptivity context, obtained with `TSGetAdapt()` or `TSAdaptCreate()`
. name       - name of the candidate scheme to add
. order      - order of the candidate scheme
. stageorder - stage order of the candidate scheme
. ccfl       - stability coefficient relative to explicit Euler, used for CFL constraints
. cost       - relative measure of the amount of work required for the candidate scheme
- inuse      - indicates that this scheme is the one currently in use, this flag can only be set for one scheme

  Level: developer

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptCandidatesClear()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptCandidateAdd(TSAdapt adapt, const char name[], PetscInt order, PetscInt stageorder, PetscReal ccfl, PetscReal cost, PetscBool inuse)
{
  PetscInt c;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscCheck(order >= 1, PetscObjectComm((PetscObject)adapt), PETSC_ERR_ARG_OUTOFRANGE, "Classical order %" PetscInt_FMT " must be a positive integer", order);
  if (inuse) {
    PetscCheck(!adapt->candidates.inuse_set, PetscObjectComm((PetscObject)adapt), PETSC_ERR_ARG_WRONGSTATE, "Cannot set the inuse method twice, maybe forgot to call TSAdaptCandidatesClear()");
    adapt->candidates.inuse_set = PETSC_TRUE;
  }
  /* first slot if this is the current scheme, otherwise the next available slot */
  c = inuse ? 0 : !adapt->candidates.inuse_set + adapt->candidates.n;

  adapt->candidates.name[c]       = name;
  adapt->candidates.order[c]      = order;
  adapt->candidates.stageorder[c] = stageorder;
  adapt->candidates.ccfl[c]       = ccfl;
  adapt->candidates.cost[c]       = cost;
  adapt->candidates.n++;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptCandidatesGet - Get the list of candidate orders of accuracy and cost

  Not Collective

  Input Parameter:
. adapt - time step adaptivity context

  Output Parameters:
+ n          - number of candidate schemes, always at least 1
. order      - the order of each candidate scheme
. stageorder - the stage order of each candidate scheme
. ccfl       - the CFL coefficient of each scheme
- cost       - the relative cost of each scheme

  Level: developer

  Note:
  The current scheme is always returned in the first slot

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptCandidatesClear()`, `TSAdaptCandidateAdd()`, `TSAdaptChoose()`
@*/
PetscErrorCode TSAdaptCandidatesGet(TSAdapt adapt, PetscInt *n, const PetscInt **order, const PetscInt **stageorder, const PetscReal **ccfl, const PetscReal **cost)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  if (n) *n = adapt->candidates.n;
  if (order) *order = adapt->candidates.order;
  if (stageorder) *stageorder = adapt->candidates.stageorder;
  if (ccfl) *ccfl = adapt->candidates.ccfl;
  if (cost) *cost = adapt->candidates.cost;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  TSAdaptChoose - choose which method and step size to use for the next step

  Collective

  Input Parameters:
+ adapt - adaptive controller
. ts    - time stepper
- h     - current step size

  Output Parameters:
+ next_sc - optional, scheme to use for the next step
. next_h  - step size to use for the next step
- accept  - `PETSC_TRUE` to accept the current step, `PETSC_FALSE` to repeat the current step with the new step size

  Level: developer

  Note:
  The input value of parameter accept is retained from the last time step, so it will be `PETSC_FALSE` if the step is
  being retried after an initial rejection.

.seealso: [](ch_ts), `TSAdapt`, `TSAdaptCandidatesClear()`, `TSAdaptCandidateAdd()`
@*/
PetscErrorCode TSAdaptChoose(TSAdapt adapt, TS ts, PetscReal h, PetscInt *next_sc, PetscReal *next_h, PetscBool *accept)
{
  PetscInt  ncandidates = adapt->candidates.n;
  PetscInt  scheme      = 0;
  PetscReal wlte        = -1.0;
  PetscReal wltea       = -1.0;
  PetscReal wlter       = -1.0;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidHeaderSpecific(ts, TS_CLASSID, 2);
  if (next_sc) PetscAssertPointer(next_sc, 4);
  PetscAssertPointer(next_h, 5);
  PetscAssertPointer(accept, 6);
  if (next_sc) *next_sc = 0;

  /* Do not mess with adaptivity while handling events */
  if (ts->event && ts->event->processing) {
    *next_h = h;
    *accept = PETSC_TRUE;
    if (adapt->monitor) {
      PetscCall(PetscViewerASCIIAddTab(adapt->monitor, ((PetscObject)adapt)->tablevel));

      if (ts->event->iterctr == 0) {
        /*
          An event has been found, now finalising the event processing: performing the 1st and 2nd post-event steps.
          Entering this if-branch means both these steps (set to either PETSC_DECIDE or numerical value) are managed
          by the event handler. In this case the 1st post-event step is always accepted, without interference of TSAdapt.
          Note: if the 2nd post-event step is not managed by the event handler (e.g. given 1st = numerical, 2nd = PETSC_DECIDE),
          this if-branch is not entered, and TSAdapt may reject/adjust the proposed 1st post-event step.
        */
        PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt does not interfere, step %3" PetscInt_FMT " accepted. Processing post-event steps: 1-st accepted just now, 2-nd yet to come\n", ts->steps));
      } else PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt does not interfere, step %3" PetscInt_FMT " accepted. Event handling in progress\n", ts->steps));

      PetscCall(PetscViewerASCIISubtractTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
    }
    PetscFunctionReturn(PETSC_SUCCESS);
  }

  PetscUseTypeMethod(adapt, choose, ts, h, &scheme, next_h, accept, &wlte, &wltea, &wlter);
  PetscCheck(scheme >= 0 && (ncandidates <= 0 || scheme < ncandidates), PetscObjectComm((PetscObject)adapt), PETSC_ERR_ARG_OUTOFRANGE, "Chosen scheme %" PetscInt_FMT " not in valid range 0..%" PetscInt_FMT, scheme, ncandidates - 1);
  PetscCheck(*next_h >= 0, PetscObjectComm((PetscObject)adapt), PETSC_ERR_ARG_OUTOFRANGE, "Computed step size %g must be positive", (double)*next_h);
  if (next_sc) *next_sc = scheme;

  if (*accept && ts->exact_final_time == TS_EXACTFINALTIME_MATCHSTEP) {
    /* Increase/reduce step size if end time of next step is close to or overshoots max time */
    PetscReal t   = ts->ptime + ts->time_step, tend, tmax, h1, hmax;
    PetscReal a   = (PetscReal)(1.0 + adapt->matchstepfac[0]);
    PetscReal b   = adapt->matchstepfac[1];
    PetscReal eps = 10 * PETSC_MACHINE_EPSILON;

    /*
      Logic in using 'dt_span_cached':
      1. It always overrides *next_h, except (any of):
         a) the current step was rejected,
         b) the adaptor proposed to decrease the next step,
         c) the adaptor proposed *next_h > dt_span_cached.
      2. If *next_h was adjusted by tspan points (or the final point):
           -- when dt_span_cached is filled (>0), it keeps its value,
           -- when dt_span_cached is clear (==0), it gets the unadjusted version of *next_h.
      3. If *next_h was not adjusted as in (2), dt_span_cached is cleared.
      Note, if a combination (1.b || 1.c) && (3) takes place, this means that
      dt_span_cached remains unused at the moment of clearing.
      If (1.a) takes place, dt_span_cached keeps its value.
      Also, dt_span_cached can be updated by the event handler, see tsevent.c.
    */
    if (h <= *next_h && *next_h <= adapt->dt_span_cached) *next_h = adapt->dt_span_cached; /* try employing the cache */
    h1   = *next_h;
    tend = t + h1;

    if (ts->tspan && ts->tspan->spanctr < ts->tspan->num_span_times) {
      PetscCheck(ts->tspan->worktol == 0, PetscObjectComm((PetscObject)adapt), PETSC_ERR_PLIB, "Unexpected state (tspan->worktol != 0) in TSAdaptChoose()");
      ts->tspan->worktol = ts->tspan->reltol * h1 + ts->tspan->abstol;
      if (PetscIsCloseAtTol(t, ts->tspan->span_times[ts->tspan->spanctr], ts->tspan->worktol, 0)) /* hit a span time point */
        if (ts->tspan->spanctr + 1 < ts->tspan->num_span_times) tmax = ts->tspan->span_times[ts->tspan->spanctr + 1];
        else tmax = ts->max_time; /* hit the last span time point */
      else tmax = ts->tspan->span_times[ts->tspan->spanctr];
    } else tmax = ts->max_time;
    tmax = PetscMin(tmax, ts->max_time);
    hmax = tmax - t;
    PetscCheck((hmax > eps) || (PetscAbsReal(hmax) <= eps && PetscIsCloseAtTol(t, ts->max_time, eps, 0)), PetscObjectComm((PetscObject)adapt), PETSC_ERR_PLIB, "Unexpected state: bad hmax in TSAdaptChoose()");

    if (t < tmax && tend > tmax) *next_h = hmax;
    if (t < tmax && tend < tmax && h1 * b > hmax) *next_h = hmax / 2;
    if (t < tmax && tend < tmax && h1 * a > hmax) *next_h = hmax;
    if (ts->tspan && h1 != *next_h && !adapt->dt_span_cached) adapt->dt_span_cached = h1; /* cache the step size if it is to be changed    */
    if (ts->tspan && h1 == *next_h && adapt->dt_span_cached) adapt->dt_span_cached = 0;   /* clear the cache if the step size is unchanged */
  }
  if (adapt->monitor) {
    const char *sc_name = (scheme < ncandidates) ? adapt->candidates.name[scheme] : "";
    PetscCall(PetscViewerASCIIAddTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
    if (wlte < 0) {
      PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt %s %s %" PetscInt_FMT ":%s step %3" PetscInt_FMT " %s t=%-11g+%10.3e dt=%-10.3e\n", ((PetscObject)adapt)->type_name, ((PetscObject)ts)->type_name, scheme, sc_name, ts->steps, *accept ? "accepted" : "rejected",
                                       (double)ts->ptime, (double)h, (double)*next_h));
    } else {
      PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt %s %s %" PetscInt_FMT ":%s step %3" PetscInt_FMT " %s t=%-11g+%10.3e dt=%-10.3e wlte=%5.3g  wltea=%5.3g wlter=%5.3g\n", ((PetscObject)adapt)->type_name, ((PetscObject)ts)->type_name, scheme, sc_name, ts->steps, *accept ? "accepted" : "rejected",
                                       (double)ts->ptime, (double)h, (double)*next_h, (double)wlte, (double)wltea, (double)wlter));
    }
    PetscCall(PetscViewerASCIISubtractTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptSetTimeStepIncreaseDelay - The number of timesteps to wait after a decrease in the timestep due to failed solver
  before increasing the time step.

  Logicially Collective

  Input Parameters:
+ adapt - adaptive controller context
- cnt   - the number of timesteps

  Options Database Key:
. -ts_adapt_time_step_increase_delay cnt - number of steps to delay the increase

  Level: advanced

  Notes:
  This is to prevent an adaptor from bouncing back and forth between two nearby timesteps. The default is 0.

  The successful use of this option is problem dependent

  Developer Notes:
  There is no theory to support this option

.seealso: [](ch_ts), `TSAdapt`
@*/
PetscErrorCode TSAdaptSetTimeStepIncreaseDelay(TSAdapt adapt, PetscInt cnt)
{
  PetscFunctionBegin;
  adapt->timestepjustdecreased_delay = cnt;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptCheckStage - checks whether to accept a stage, (e.g. reject and change time step size if nonlinear solve fails or solution vector is infeasible)

  Collective

  Input Parameters:
+ adapt - adaptive controller context
. ts    - time stepper
. t     - Current simulation time
- Y     - Current solution vector

  Output Parameter:
. accept - `PETSC_TRUE` to accept the stage, `PETSC_FALSE` to reject

  Level: developer

.seealso: [](ch_ts), `TSAdapt`
@*/
PetscErrorCode TSAdaptCheckStage(TSAdapt adapt, TS ts, PetscReal t, Vec Y, PetscBool *accept)
{
  SNESConvergedReason snesreason = SNES_CONVERGED_ITERATING;
  PetscBool           func_accept, snes_div_func;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(adapt, TSADAPT_CLASSID, 1);
  PetscValidHeaderSpecific(ts, TS_CLASSID, 2);
  PetscAssertPointer(accept, 5);

  PetscCall(TSFunctionDomainError(ts, t, Y, &func_accept));
  if (ts->snes) PetscCall(SNESGetConvergedReason(ts->snes, &snesreason));
  snes_div_func = (PetscBool)(snesreason == SNES_DIVERGED_FUNCTION_DOMAIN);
  if (func_accept && snesreason < 0 && !snes_div_func) {
    *accept = PETSC_FALSE;
    PetscCall(PetscInfo(ts, "Step=%" PetscInt_FMT ", nonlinear solve failure: %s\n", ts->steps, SNESConvergedReasons[snesreason]));
    if (++ts->num_snes_failures >= ts->max_snes_failures && ts->max_snes_failures > 0) {
      ts->reason = TS_DIVERGED_NONLINEAR_SOLVE;
      PetscCall(PetscInfo(ts, "Step=%" PetscInt_FMT ", nonlinear solve failures %" PetscInt_FMT " greater than current TS allowed, stopping solve\n", ts->steps, ts->num_snes_failures));
      if (adapt->monitor) {
        PetscCall(PetscViewerASCIIAddTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
        PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt %s step %3" PetscInt_FMT " stage rejected t=%-11g+%10.3e, nonlinear solve failures %" PetscInt_FMT " greater than current TS allowed\n", ((PetscObject)adapt)->type_name, ts->steps,
                                         (double)ts->ptime, (double)ts->time_step, ts->num_snes_failures));
        PetscCall(PetscViewerASCIISubtractTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
      }
    }
  } else {
    *accept = (PetscBool)(func_accept && !snes_div_func);
    if (*accept && adapt->checkstage) PetscCall((*adapt->checkstage)(adapt, ts, t, Y, accept));
    if (!*accept) {
      const char *user_func = !func_accept ? "TSSetFunctionDomainError()" : "TSAdaptSetCheckStage";
      const char *snes_err  = "SNES invalid function domain";
      const char *err_msg   = snes_div_func && func_accept ? snes_err : user_func;
      PetscCall(PetscInfo(ts, "Step=%" PetscInt_FMT ", solution rejected by %s\n", ts->steps, err_msg));
      if (adapt->monitor) {
        PetscCall(PetscViewerASCIIAddTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
        PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt %s step %3" PetscInt_FMT " stage rejected by %s\n", ((PetscObject)adapt)->type_name, ts->steps, err_msg));
        PetscCall(PetscViewerASCIISubtractTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
      }
    }
  }

  if (!(*accept) && !ts->reason) {
    PetscReal dt, new_dt;
    PetscCall(TSGetTimeStep(ts, &dt));
    new_dt = dt * adapt->scale_solve_failed;
    PetscCall(TSSetTimeStep(ts, new_dt));
    adapt->timestepjustdecreased += adapt->timestepjustdecreased_delay;
    if (adapt->monitor) {
      PetscCall(PetscViewerASCIIAddTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
      PetscCall(PetscViewerASCIIPrintf(adapt->monitor, "    TSAdapt %s step %3" PetscInt_FMT " stage rejected (SNES reason %s) t=%-11g+%10.3e retrying with dt=%-10.3e\n", ((PetscObject)adapt)->type_name, ts->steps, SNESConvergedReasons[snesreason],
                                       (double)ts->ptime, (double)dt, (double)new_dt));
      PetscCall(PetscViewerASCIISubtractTab(adapt->monitor, ((PetscObject)adapt)->tablevel));
    }
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  TSAdaptCreate - create an adaptive controller context for time stepping

  Collective

  Input Parameter:
. comm - The communicator

  Output Parameter:
. inadapt - new `TSAdapt` object

  Level: developer

  Note:
  `TSAdapt` creation is handled by `TS`, so users should not need to call this function.

.seealso: [](ch_ts), `TSAdapt`, `TSGetAdapt()`, `TSAdaptSetType()`, `TSAdaptDestroy()`
@*/
PetscErrorCode TSAdaptCreate(MPI_Comm comm, TSAdapt *inadapt)
{
  TSAdapt adapt;

  PetscFunctionBegin;
  PetscAssertPointer(inadapt, 2);
  *inadapt = NULL;
  PetscCall(TSAdaptInitializePackage());

  PetscCall(PetscHeaderCreate(adapt, TSADAPT_CLASSID, "TSAdapt", "Time stepping adaptivity", "TS", comm, TSAdaptDestroy, TSAdaptView));

  adapt->always_accept      = PETSC_FALSE;
  adapt->safety             = 0.9;
  adapt->reject_safety      = 0.5;
  adapt->clip[0]            = 0.1;
  adapt->clip[1]            = 10.;
  adapt->dt_min             = 1e-20;
  adapt->dt_max             = 1e+20;
  adapt->ignore_max         = -1.0;
  adapt->glee_use_local     = PETSC_TRUE;
  adapt->scale_solve_failed = 0.25;
  /* these two safety factors are not public, and they are used only in the TS_EXACTFINALTIME_MATCHSTEP case
     to prevent from situations were unreasonably small time steps are taken in order to match the final time */
  adapt->matchstepfac[0]             = 0.01; /* allow 1% step size increase in the last step */
  adapt->matchstepfac[1]             = 2.0;  /* halve last step if it is greater than what remains divided this factor */
  adapt->wnormtype                   = NORM_2;
  adapt->timestepjustdecreased_delay = 0;

  *inadapt = adapt;
  PetscFunctionReturn(PETSC_SUCCESS);
}