xref: /petsc/include/petscts.h (revision 800f99ff9e85495c69e9e5819c0be0dbd8cbc57c)

/*
   User interface for the timestepping package. This package
   is for use in solving time-dependent PDEs.
*/
#if !defined(PETSCTS_H)
#define PETSCTS_H

#include <petscsnes.h>
#include <petscconvest.h>

/* SUBMANSEC = TS */

/*S
     TS - Abstract PETSc object that manages all time-steppers (ODE integrators)

   Level: beginner

.seealso: `TSCreate()`, `TSSetType()`, `TSType`, `SNES`, `KSP`, `PC`, `TSDestroy()`
S*/
typedef struct _p_TS* TS;

/*J
    TSType - String with the name of a PETSc TS method.

   Level: beginner

.seealso: `TSSetType()`, `TS`, `TSRegister()`
J*/
typedef const char* TSType;
#define TSEULER           "euler"
#define TSBEULER          "beuler"
#define TSBASICSYMPLECTIC "basicsymplectic"
#define TSPSEUDO          "pseudo"
#define TSCN              "cn"
#define TSSUNDIALS        "sundials"
#define TSRK              "rk"
#define TSPYTHON          "python"
#define TSTHETA           "theta"
#define TSALPHA           "alpha"
#define TSALPHA2          "alpha2"
#define TSGLLE            "glle"
#define TSGLEE            "glee"
#define TSSSP             "ssp"
#define TSARKIMEX         "arkimex"
#define TSROSW            "rosw"
#define TSEIMEX           "eimex"
#define TSMIMEX           "mimex"
#define TSBDF             "bdf"
#define TSRADAU5          "radau5"
#define TSMPRK            "mprk"
#define TSDISCGRAD        "discgrad"
#define TSIRK             "irk"

/*E
    TSProblemType - Determines the type of problem this TS object is to be used to solve

   Level: beginner

.seealso: `TSCreate()`
E*/
typedef enum {TS_LINEAR,TS_NONLINEAR} TSProblemType;

/*E
   TSEquationType - type of TS problem that is solved

   Level: beginner

   Developer Notes:
    this must match petsc/finclude/petscts.h

   Supported types are:
     TS_EQ_UNSPECIFIED (default)
     TS_EQ_EXPLICIT {ODE and DAE index 1, 2, 3, HI}: F(t,U,U_t) := M(t) U_t - G(U,t) = 0
     TS_EQ_IMPLICIT {ODE and DAE index 1, 2, 3, HI}: F(t,U,U_t) = 0

.seealso: `TSGetEquationType()`, `TSSetEquationType()`
E*/
typedef enum {
  TS_EQ_UNSPECIFIED               = -1,
  TS_EQ_EXPLICIT                  = 0,
  TS_EQ_ODE_EXPLICIT              = 1,
  TS_EQ_DAE_SEMI_EXPLICIT_INDEX1  = 100,
  TS_EQ_DAE_SEMI_EXPLICIT_INDEX2  = 200,
  TS_EQ_DAE_SEMI_EXPLICIT_INDEX3  = 300,
  TS_EQ_DAE_SEMI_EXPLICIT_INDEXHI = 500,
  TS_EQ_IMPLICIT                  = 1000,
  TS_EQ_ODE_IMPLICIT              = 1001,
  TS_EQ_DAE_IMPLICIT_INDEX1       = 1100,
  TS_EQ_DAE_IMPLICIT_INDEX2       = 1200,
  TS_EQ_DAE_IMPLICIT_INDEX3       = 1300,
  TS_EQ_DAE_IMPLICIT_INDEXHI      = 1500
} TSEquationType;
PETSC_EXTERN const char *const*TSEquationTypes;

/*E
   TSConvergedReason - reason a TS method has converged or not

   Level: beginner

   Developer Notes:
    this must match petsc/finclude/petscts.h

   Each reason has its own manual page.

.seealso: `TSGetConvergedReason()`
E*/
typedef enum {
  TS_CONVERGED_ITERATING          = 0,
  TS_CONVERGED_TIME               = 1,
  TS_CONVERGED_ITS                = 2,
  TS_CONVERGED_USER               = 3,
  TS_CONVERGED_EVENT              = 4,
  TS_CONVERGED_PSEUDO_FATOL       = 5,
  TS_CONVERGED_PSEUDO_FRTOL       = 6,
  TS_DIVERGED_NONLINEAR_SOLVE     = -1,
  TS_DIVERGED_STEP_REJECTED       = -2,
  TSFORWARD_DIVERGED_LINEAR_SOLVE = -3,
  TSADJOINT_DIVERGED_LINEAR_SOLVE = -4
} TSConvergedReason;
PETSC_EXTERN const char *const*TSConvergedReasons;

/*MC
   TS_CONVERGED_ITERATING - this only occurs if TSGetConvergedReason() is called during the TSSolve()

   Level: beginner

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSGetAdapt()`
M*/

/*MC
   TS_CONVERGED_TIME - the final time was reached

   Level: beginner

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSGetAdapt()`, `TSSetMaxTime()`, `TSGetMaxTime()`, `TSGetSolveTime()`
M*/

/*MC
   TS_CONVERGED_ITS - the maximum number of iterations (time-steps) was reached prior to the final time

   Level: beginner

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSGetAdapt()`, `TSSetMaxSteps()`, `TSGetMaxSteps()`
M*/

/*MC
   TS_CONVERGED_USER - user requested termination

   Level: beginner

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSSetConvergedReason()`
M*/

/*MC
   TS_CONVERGED_EVENT - user requested termination on event detection

   Level: beginner

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSSetConvergedReason()`
M*/

/*MC
   TS_CONVERGED_PSEUDO_FRTOL - stops when function norm decreased by a set amount, used only for TSPSEUDO

   Level: beginner

   Options Database:
.   -ts_pseudo_frtol <rtol> - use sepcified rtol

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSSetConvergedReason()`, `TS_CONVERGED_PSEUDO_FATOL`
M*/

/*MC
   TS_CONVERGED_PSEUDO_FATOL - stops when function norm decreases below a set amount, used only for TSPSEUDO

   Level: beginner

   Options Database:
.   -ts_pseudo_fatol <atol> - use specified atol

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSSetConvergedReason()`, `TS_CONVERGED_PSEUDO_FRTOL`
M*/

/*MC
   TS_DIVERGED_NONLINEAR_SOLVE - too many nonlinear solves failed

   Level: beginner

   Notes:
    See TSSetMaxSNESFailures() for how to allow more nonlinear solver failures.

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSGetAdapt()`, `TSGetSNES()`, `SNESGetConvergedReason()`, `TSSetMaxSNESFailures()`
M*/

/*MC
   TS_DIVERGED_STEP_REJECTED - too many steps were rejected

   Level: beginner

   Notes:
    See TSSetMaxStepRejections() for how to allow more step rejections.

.seealso: `TSSolve()`, `TSGetConvergedReason()`, `TSGetAdapt()`, `TSSetMaxStepRejections()`
M*/

/*E
   TSExactFinalTimeOption - option for handling of final time step

   Level: beginner

   Developer Notes:
    this must match petsc/finclude/petscts.h

$  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
$  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
$  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time

.seealso: `TSGetConvergedReason()`, `TSSetExactFinalTime()`, `TSGetExactFinalTime()`

E*/
typedef enum {TS_EXACTFINALTIME_UNSPECIFIED=0,TS_EXACTFINALTIME_STEPOVER=1,TS_EXACTFINALTIME_INTERPOLATE=2,TS_EXACTFINALTIME_MATCHSTEP=3} TSExactFinalTimeOption;
PETSC_EXTERN const char *const TSExactFinalTimeOptions[];

/* Logging support */
PETSC_EXTERN PetscClassId TS_CLASSID;
PETSC_EXTERN PetscClassId DMTS_CLASSID;
PETSC_EXTERN PetscClassId TSADAPT_CLASSID;

PETSC_EXTERN PetscErrorCode TSInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSFinalizePackage(void);

PETSC_EXTERN PetscErrorCode TSCreate(MPI_Comm,TS*);
PETSC_EXTERN PetscErrorCode TSClone(TS,TS*);
PETSC_EXTERN PetscErrorCode TSDestroy(TS*);

PETSC_EXTERN PetscErrorCode TSSetProblemType(TS,TSProblemType);
PETSC_EXTERN PetscErrorCode TSGetProblemType(TS,TSProblemType*);
PETSC_EXTERN PetscErrorCode TSMonitor(TS,PetscInt,PetscReal,Vec);
PETSC_EXTERN PetscErrorCode TSMonitorSet(TS,PetscErrorCode(*)(TS,PetscInt,PetscReal,Vec,void*),void *,PetscErrorCode (*)(void**));
PETSC_EXTERN PetscErrorCode TSMonitorSetFromOptions(TS,const char[],const char[],const char[],PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*)(TS,PetscViewerAndFormat*));
PETSC_EXTERN PetscErrorCode TSMonitorCancel(TS);

PETSC_EXTERN PetscErrorCode TSSetOptionsPrefix(TS,const char[]);
PETSC_EXTERN PetscErrorCode TSAppendOptionsPrefix(TS,const char[]);
PETSC_EXTERN PetscErrorCode TSGetOptionsPrefix(TS,const char *[]);
PETSC_EXTERN PetscErrorCode TSSetFromOptions(TS);
PETSC_EXTERN PetscErrorCode TSSetUp(TS);
PETSC_EXTERN PetscErrorCode TSReset(TS);

PETSC_EXTERN PetscErrorCode TSSetSolution(TS,Vec);
PETSC_EXTERN PetscErrorCode TSGetSolution(TS,Vec*);

PETSC_EXTERN PetscErrorCode TS2SetSolution(TS,Vec,Vec);
PETSC_EXTERN PetscErrorCode TS2GetSolution(TS,Vec*,Vec*);

PETSC_EXTERN PetscErrorCode TSGetSolutionComponents(TS,PetscInt*,Vec*);
PETSC_EXTERN PetscErrorCode TSGetAuxSolution(TS,Vec*);
PETSC_EXTERN PetscErrorCode TSGetTimeError(TS,PetscInt,Vec*);
PETSC_EXTERN PetscErrorCode TSSetTimeError(TS,Vec);

PETSC_EXTERN PetscErrorCode TSSetRHSJacobianP(TS,Mat,PetscErrorCode(*)(TS,PetscReal,Vec,Mat,void*),void*);
PETSC_EXTERN PetscErrorCode TSGetRHSJacobianP(TS,Mat*,PetscErrorCode(**)(TS,PetscReal,Vec,Mat,void*),void**);
PETSC_EXTERN PetscErrorCode TSComputeRHSJacobianP(TS,PetscReal,Vec,Mat);
PETSC_EXTERN PetscErrorCode TSSetIJacobianP(TS,Mat,PetscErrorCode(*)(TS,PetscReal,Vec,Vec,PetscReal,Mat,void*),void*);
PETSC_EXTERN PetscErrorCode TSComputeIJacobianP(TS,PetscReal,Vec,Vec,PetscReal,Mat,PetscBool);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetQuadratureTS then TSComputeRHSJacobianP") PetscErrorCode TSComputeDRDPFunction(TS,PetscReal,Vec,Vec*);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetQuadratureTS then TSComputeRHSJacobian") PetscErrorCode TSComputeDRDUFunction(TS,PetscReal,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSSetIHessianProduct(TS,Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    void*);
PETSC_EXTERN PetscErrorCode TSComputeIHessianProductFunctionUU(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeIHessianProductFunctionUP(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeIHessianProductFunctionPU(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeIHessianProductFunctionPP(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSSetRHSHessianProduct(TS,Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    Vec*,PetscErrorCode(*)(TS,PetscReal,Vec,Vec*,Vec,Vec*,void*),
                                                    void*);
PETSC_EXTERN PetscErrorCode TSComputeRHSHessianProductFunctionUU(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeRHSHessianProductFunctionUP(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeRHSHessianProductFunctionPU(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeRHSHessianProductFunctionPP(TS,PetscReal,Vec,Vec*,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSSetCostHessianProducts(TS,PetscInt,Vec*,Vec*,Vec);
PETSC_EXTERN PetscErrorCode TSGetCostHessianProducts(TS,PetscInt*,Vec**,Vec**,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeSNESJacobian(TS,Vec,Mat,Mat);

/*S
     TSTrajectory - Abstract PETSc object that stores the trajectory (solution of ODE/DAE at each time step)

   Level: advanced

.seealso: `TSSetSaveTrajectory()`, `TSTrajectoryCreate()`, `TSTrajectorySetType()`, `TSTrajectoryDestroy()`, `TSTrajectoryReset()`
S*/
typedef struct _p_TSTrajectory* TSTrajectory;

/*J
    TSTrajectorySetType - String with the name of a PETSc TS trajectory storage method

   Level: intermediate

.seealso: `TSSetSaveTrajectory()`, `TSTrajectoryCreate()`, `TSTrajectoryDestroy()`
J*/
typedef const char* TSTrajectoryType;
#define TSTRAJECTORYBASIC         "basic"
#define TSTRAJECTORYSINGLEFILE    "singlefile"
#define TSTRAJECTORYMEMORY        "memory"
#define TSTRAJECTORYVISUALIZATION "visualization"

PETSC_EXTERN PetscFunctionList TSTrajectoryList;
PETSC_EXTERN PetscClassId      TSTRAJECTORY_CLASSID;
PETSC_EXTERN PetscBool         TSTrajectoryRegisterAllCalled;

PETSC_EXTERN PetscErrorCode TSSetSaveTrajectory(TS);
PETSC_EXTERN PetscErrorCode TSResetTrajectory(TS);
PETSC_EXTERN PetscErrorCode TSRemoveTrajectory(TS);

PETSC_EXTERN PetscErrorCode TSTrajectoryCreate(MPI_Comm,TSTrajectory*);
PETSC_EXTERN PetscErrorCode TSTrajectoryReset(TSTrajectory);
PETSC_EXTERN PetscErrorCode TSTrajectoryDestroy(TSTrajectory*);
PETSC_EXTERN PetscErrorCode TSTrajectoryView(TSTrajectory,PetscViewer);
PETSC_EXTERN PetscErrorCode TSTrajectorySetType(TSTrajectory,TS,TSTrajectoryType);
PETSC_EXTERN PetscErrorCode TSTrajectoryGetType(TSTrajectory,TS,TSTrajectoryType*);
PETSC_EXTERN PetscErrorCode TSTrajectorySet(TSTrajectory,TS,PetscInt,PetscReal,Vec);
PETSC_EXTERN PetscErrorCode TSTrajectoryGet(TSTrajectory,TS,PetscInt,PetscReal*);
PETSC_EXTERN PetscErrorCode TSTrajectoryGetVecs(TSTrajectory,TS,PetscInt,PetscReal*,Vec,Vec);
PETSC_EXTERN PetscErrorCode TSTrajectoryGetUpdatedHistoryVecs(TSTrajectory,TS,PetscReal,Vec*,Vec*);
PETSC_EXTERN PetscErrorCode TSTrajectoryGetNumSteps(TSTrajectory,PetscInt*);
PETSC_EXTERN PetscErrorCode TSTrajectoryRestoreUpdatedHistoryVecs(TSTrajectory,Vec*,Vec*);
PETSC_EXTERN PetscErrorCode TSTrajectorySetFromOptions(TSTrajectory,TS);
PETSC_EXTERN PetscErrorCode TSTrajectoryRegister(const char[],PetscErrorCode (*)(TSTrajectory,TS));
PETSC_EXTERN PetscErrorCode TSTrajectoryRegisterAll(void);
PETSC_EXTERN PetscErrorCode TSTrajectorySetUp(TSTrajectory,TS);
PETSC_EXTERN PetscErrorCode TSTrajectorySetUseHistory(TSTrajectory,PetscBool);
PETSC_EXTERN PetscErrorCode TSTrajectorySetMonitor(TSTrajectory,PetscBool);
PETSC_EXTERN PetscErrorCode TSTrajectorySetVariableNames(TSTrajectory,const char * const*);
PETSC_EXTERN PetscErrorCode TSTrajectorySetTransform(TSTrajectory,PetscErrorCode (*)(void*,Vec,Vec*),PetscErrorCode (*)(void*),void*);
PETSC_EXTERN PetscErrorCode TSTrajectorySetSolutionOnly(TSTrajectory,PetscBool);
PETSC_EXTERN PetscErrorCode TSTrajectoryGetSolutionOnly(TSTrajectory,PetscBool*);
PETSC_EXTERN PetscErrorCode TSTrajectorySetKeepFiles(TSTrajectory,PetscBool);
PETSC_EXTERN PetscErrorCode TSTrajectorySetDirname(TSTrajectory,const char[]);
PETSC_EXTERN PetscErrorCode TSTrajectorySetFiletemplate(TSTrajectory,const char[]);
PETSC_EXTERN PetscErrorCode TSGetTrajectory(TS,TSTrajectory*);

PETSC_EXTERN PetscErrorCode TSSetCostGradients(TS,PetscInt,Vec*,Vec*);
PETSC_EXTERN PetscErrorCode TSGetCostGradients(TS,PetscInt*,Vec**,Vec**);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSCreateQuadratureTS() then set up the sub-TS (since version 3.12)") PetscErrorCode TSSetCostIntegrand(TS,PetscInt,Vec,PetscErrorCode (*)(TS,PetscReal,Vec,Vec,void*),PetscErrorCode (*)(TS,PetscReal,Vec,Vec*,void*),PetscErrorCode (*)(TS,PetscReal,Vec,Vec*,void*),PetscBool,void*);
PETSC_EXTERN PetscErrorCode TSGetCostIntegral(TS,Vec*);
PETSC_EXTERN PetscErrorCode TSComputeCostIntegrand(TS,PetscReal,Vec,Vec);
PETSC_EXTERN PetscErrorCode TSCreateQuadratureTS(TS,PetscBool,TS*);
PETSC_EXTERN PetscErrorCode TSGetQuadratureTS(TS,PetscBool*,TS*);

PETSC_EXTERN PetscErrorCode TSAdjointSetFromOptions(PetscOptionItems*,TS);
PETSC_EXTERN PetscErrorCode TSAdjointMonitor(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*);
PETSC_EXTERN PetscErrorCode TSAdjointMonitorSet(TS,PetscErrorCode(*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *,PetscErrorCode (*)(void**));
PETSC_EXTERN PetscErrorCode TSAdjointMonitorCancel(TS);
PETSC_EXTERN PetscErrorCode TSAdjointMonitorSetFromOptions(TS,const char[],const char[],const char[],PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat*),PetscErrorCode (*)(TS,PetscViewerAndFormat*));

PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSSetRHSJacobianP()")     PetscErrorCode TSAdjointSetRHSJacobian(TS,Mat,PetscErrorCode(*)(TS,PetscReal,Vec,Mat,void*),void*);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSComputeRHSJacobianP()") PetscErrorCode TSAdjointComputeRHSJacobian(TS,PetscReal,Vec,Mat);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetQuadratureTS then TSComputeRHSJacobianP") PetscErrorCode TSAdjointComputeDRDPFunction(TS,PetscReal,Vec,Vec*);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetQuadratureTS then TSComputeRHSJacobian") PetscErrorCode TSAdjointComputeDRDYFunction(TS,PetscReal,Vec,Vec*);
PETSC_EXTERN PetscErrorCode TSAdjointSolve(TS);
PETSC_EXTERN PetscErrorCode TSAdjointSetSteps(TS,PetscInt);

PETSC_EXTERN PetscErrorCode TSAdjointStep(TS);
PETSC_EXTERN PetscErrorCode TSAdjointSetUp(TS);
PETSC_EXTERN PetscErrorCode TSAdjointReset(TS);
PETSC_EXTERN PetscErrorCode TSAdjointCostIntegral(TS);
PETSC_EXTERN PetscErrorCode TSAdjointSetForward(TS,Mat);
PETSC_EXTERN PetscErrorCode TSAdjointResetForward(TS);

PETSC_EXTERN PetscErrorCode TSForwardSetSensitivities(TS,PetscInt,Mat);
PETSC_EXTERN PetscErrorCode TSForwardGetSensitivities(TS,PetscInt*,Mat*);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSCreateQuadratureTS() and TSForwardSetSensitivities() (since version 3.12)") PetscErrorCode TSForwardSetIntegralGradients(TS,PetscInt,Vec *);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSForwardGetSensitivities()")                          PetscErrorCode TSForwardGetIntegralGradients(TS,PetscInt*,Vec **);
PETSC_EXTERN PetscErrorCode TSForwardSetUp(TS);
PETSC_EXTERN PetscErrorCode TSForwardReset(TS);
PETSC_EXTERN PetscErrorCode TSForwardCostIntegral(TS);
PETSC_EXTERN PetscErrorCode TSForwardStep(TS);
PETSC_EXTERN PetscErrorCode TSForwardSetInitialSensitivities(TS,Mat);
PETSC_EXTERN PetscErrorCode TSForwardGetStages(TS,PetscInt*,Mat*[]);

PETSC_EXTERN PetscErrorCode TSSetMaxSteps(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSGetMaxSteps(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSSetMaxTime(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSGetMaxTime(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSSetExactFinalTime(TS,TSExactFinalTimeOption);
PETSC_EXTERN PetscErrorCode TSGetExactFinalTime(TS,TSExactFinalTimeOption*);
PETSC_EXTERN PetscErrorCode TSSetTimeSpan(TS,PetscInt,PetscReal*);
PETSC_EXTERN PetscErrorCode TSGetTimeSpan(TS,PetscInt*,const PetscReal**);
PETSC_EXTERN PetscErrorCode TSGetTimeSpanSolutions(TS,PetscInt*,Vec**);

PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSSetTime[Step]() (since version 3.8)")      PetscErrorCode TSSetInitialTimeStep(TS,PetscReal,PetscReal);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSSetMax{Steps|Time}() (since version 3.8)") PetscErrorCode TSSetDuration(TS,PetscInt,PetscReal);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetMax{Steps|Time}() (since version 3.8)") PetscErrorCode TSGetDuration(TS,PetscInt*,PetscReal*);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetStepNumber() (since version 3.8)")      PetscErrorCode TSGetTimeStepNumber(TS,PetscInt*);
PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use TSGetStepNumber() (since version 3.8)")      PetscErrorCode TSGetTotalSteps(TS,PetscInt*);

PETSC_EXTERN PetscErrorCode TSMonitorDefault(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*);
PETSC_EXTERN PetscErrorCode TSMonitorExtreme(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*);

typedef struct _n_TSMonitorDrawCtx*  TSMonitorDrawCtx;
PETSC_EXTERN PetscErrorCode TSMonitorDrawCtxCreate(MPI_Comm,const char[],const char[],int,int,int,int,PetscInt,TSMonitorDrawCtx *);
PETSC_EXTERN PetscErrorCode TSMonitorDrawCtxDestroy(TSMonitorDrawCtx*);
PETSC_EXTERN PetscErrorCode TSMonitorDrawSolution(TS,PetscInt,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSMonitorDrawSolutionPhase(TS,PetscInt,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSMonitorDrawError(TS,PetscInt,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSMonitorDrawSolutionFunction(TS,PetscInt,PetscReal,Vec,void*);

PETSC_EXTERN PetscErrorCode TSAdjointMonitorDefault(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat *);
PETSC_EXTERN PetscErrorCode TSAdjointMonitorDrawSensi(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*);

PETSC_EXTERN PetscErrorCode TSMonitorSolution(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*);
PETSC_EXTERN PetscErrorCode TSMonitorSolutionVTK(TS,PetscInt,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSMonitorSolutionVTKDestroy(void*);

PETSC_EXTERN PetscErrorCode TSStep(TS);
PETSC_EXTERN PetscErrorCode TSEvaluateWLTE(TS,NormType,PetscInt*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSEvaluateStep(TS,PetscInt,Vec,PetscBool*);
PETSC_EXTERN PetscErrorCode TSSolve(TS,Vec);
PETSC_EXTERN PetscErrorCode TSGetEquationType(TS,TSEquationType*);
PETSC_EXTERN PetscErrorCode TSSetEquationType(TS,TSEquationType);
PETSC_EXTERN PetscErrorCode TSGetConvergedReason(TS,TSConvergedReason*);
PETSC_EXTERN PetscErrorCode TSSetConvergedReason(TS,TSConvergedReason);
PETSC_EXTERN PetscErrorCode TSGetSolveTime(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSGetSNESIterations(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSGetKSPIterations(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSGetStepRejections(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSSetMaxStepRejections(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSGetSNESFailures(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSSetMaxSNESFailures(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSSetErrorIfStepFails(TS,PetscBool);
PETSC_EXTERN PetscErrorCode TSRestartStep(TS);
PETSC_EXTERN PetscErrorCode TSRollBack(TS);

PETSC_EXTERN PetscErrorCode TSGetStages(TS,PetscInt*,Vec*[]);

PETSC_EXTERN PetscErrorCode TSGetTime(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSSetTime(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSGetPrevTime(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSGetTimeStep(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSSetTimeStep(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSGetStepNumber(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSSetStepNumber(TS,PetscInt);

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSRHSFunction)(TS,PetscReal,Vec,Vec,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSRHSJacobian)(TS,PetscReal,Vec,Mat,Mat,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSRHSJacobianP)(TS,PetscReal,Vec,Mat,void*);
PETSC_EXTERN PetscErrorCode TSSetRHSFunction(TS,Vec,TSRHSFunction,void*);
PETSC_EXTERN PetscErrorCode TSGetRHSFunction(TS,Vec*,TSRHSFunction*,void**);
PETSC_EXTERN PetscErrorCode TSSetRHSJacobian(TS,Mat,Mat,TSRHSJacobian,void*);
PETSC_EXTERN PetscErrorCode TSGetRHSJacobian(TS,Mat*,Mat*,TSRHSJacobian*,void**);
PETSC_EXTERN PetscErrorCode TSRHSJacobianSetReuse(TS,PetscBool);

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSSolutionFunction)(TS,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSSetSolutionFunction(TS,TSSolutionFunction,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSForcingFunction)(TS,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSSetForcingFunction(TS,TSForcingFunction,void*);

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSIFunction)(TS,PetscReal,Vec,Vec,Vec,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSIJacobian)(TS,PetscReal,Vec,Vec,PetscReal,Mat,Mat,void*);
PETSC_EXTERN PetscErrorCode TSSetIFunction(TS,Vec,TSIFunction,void*);
PETSC_EXTERN PetscErrorCode TSGetIFunction(TS,Vec*,TSIFunction*,void**);
PETSC_EXTERN PetscErrorCode TSSetIJacobian(TS,Mat,Mat,TSIJacobian,void*);
PETSC_EXTERN PetscErrorCode TSGetIJacobian(TS,Mat*,Mat*,TSIJacobian*,void**);

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSI2Function)(TS,PetscReal,Vec,Vec,Vec,Vec,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSI2Jacobian)(TS,PetscReal,Vec,Vec,Vec,PetscReal,PetscReal,Mat,Mat,void*);
PETSC_EXTERN PetscErrorCode TSSetI2Function(TS,Vec,TSI2Function,void*);
PETSC_EXTERN PetscErrorCode TSGetI2Function(TS,Vec*,TSI2Function*,void**);
PETSC_EXTERN PetscErrorCode TSSetI2Jacobian(TS,Mat,Mat,TSI2Jacobian,void*);
PETSC_EXTERN PetscErrorCode TSGetI2Jacobian(TS,Mat*,Mat*,TSI2Jacobian*,void**);

PETSC_EXTERN PetscErrorCode TSRHSSplitSetIS(TS,const char[],IS);
PETSC_EXTERN PetscErrorCode TSRHSSplitGetIS(TS,const char[],IS*);
PETSC_EXTERN PetscErrorCode TSRHSSplitSetRHSFunction(TS,const char[],Vec,TSRHSFunction,void*);
PETSC_EXTERN PetscErrorCode TSRHSSplitGetSubTS(TS,const char[],TS*);
PETSC_EXTERN PetscErrorCode TSRHSSplitGetSubTSs(TS,PetscInt*,TS*[]);
PETSC_EXTERN PetscErrorCode TSSetUseSplitRHSFunction(TS, PetscBool);
PETSC_EXTERN PetscErrorCode TSGetUseSplitRHSFunction(TS, PetscBool*);

PETSC_EXTERN PetscErrorCode TSComputeRHSFunctionLinear(TS,PetscReal,Vec,Vec,void*);
PETSC_EXTERN PetscErrorCode TSComputeRHSJacobianConstant(TS,PetscReal,Vec,Mat,Mat,void*);
PETSC_EXTERN PetscErrorCode TSComputeIFunctionLinear(TS,PetscReal,Vec,Vec,Vec,void*);
PETSC_EXTERN PetscErrorCode TSComputeIJacobianConstant(TS,PetscReal,Vec,Vec,PetscReal,Mat,Mat,void*);
PETSC_EXTERN PetscErrorCode TSComputeSolutionFunction(TS,PetscReal,Vec);
PETSC_EXTERN PetscErrorCode TSComputeForcingFunction(TS,PetscReal,Vec);
PETSC_EXTERN PetscErrorCode TSComputeIJacobianDefaultColor(TS,PetscReal,Vec,Vec,PetscReal,Mat,Mat,void*);

PETSC_EXTERN PetscErrorCode TSSetPreStep(TS, PetscErrorCode (*)(TS));
PETSC_EXTERN PetscErrorCode TSSetPreStage(TS, PetscErrorCode (*)(TS,PetscReal));
PETSC_EXTERN PetscErrorCode TSSetPostStage(TS, PetscErrorCode (*)(TS,PetscReal,PetscInt,Vec*));
PETSC_EXTERN PetscErrorCode TSSetPostEvaluate(TS, PetscErrorCode(*)(TS));
PETSC_EXTERN PetscErrorCode TSSetPostStep(TS, PetscErrorCode (*)(TS));
PETSC_EXTERN PetscErrorCode TSPreStep(TS);
PETSC_EXTERN PetscErrorCode TSPreStage(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSPostStage(TS,PetscReal,PetscInt,Vec*);
PETSC_EXTERN PetscErrorCode TSPostEvaluate(TS);
PETSC_EXTERN PetscErrorCode TSPostStep(TS);
PETSC_EXTERN PetscErrorCode TSInterpolate(TS,PetscReal,Vec);
PETSC_EXTERN PetscErrorCode TSSetTolerances(TS,PetscReal,Vec,PetscReal,Vec);
PETSC_EXTERN PetscErrorCode TSGetTolerances(TS,PetscReal*,Vec*,PetscReal*,Vec*);
PETSC_EXTERN PetscErrorCode TSErrorWeightedNormInfinity(TS,Vec,Vec,PetscReal*,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSErrorWeightedNorm2(TS,Vec,Vec,PetscReal*,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSErrorWeightedNorm(TS,Vec,Vec,NormType,PetscReal*,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSErrorWeightedENormInfinity(TS,Vec,Vec,Vec,PetscReal*,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSErrorWeightedENorm2(TS,Vec,Vec,Vec,PetscReal*,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSErrorWeightedENorm(TS,Vec,Vec,Vec,NormType,PetscReal*,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSSetCFLTimeLocal(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSGetCFLTime(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSSetFunctionDomainError(TS, PetscErrorCode (*)(TS,PetscReal,Vec,PetscBool*));
PETSC_EXTERN PetscErrorCode TSFunctionDomainError(TS,PetscReal,Vec,PetscBool*);

PETSC_EXTERN PetscErrorCode TSPseudoSetTimeStep(TS,PetscErrorCode(*)(TS,PetscReal*,void*),void*);
PETSC_EXTERN PetscErrorCode TSPseudoTimeStepDefault(TS,PetscReal*,void*);
PETSC_EXTERN PetscErrorCode TSPseudoComputeTimeStep(TS,PetscReal *);
PETSC_EXTERN PetscErrorCode TSPseudoSetMaxTimeStep(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSPseudoSetVerifyTimeStep(TS,PetscErrorCode(*)(TS,Vec,void*,PetscReal*,PetscBool *),void*);
PETSC_EXTERN PetscErrorCode TSPseudoVerifyTimeStepDefault(TS,Vec,void*,PetscReal*,PetscBool *);
PETSC_EXTERN PetscErrorCode TSPseudoVerifyTimeStep(TS,Vec,PetscReal*,PetscBool *);
PETSC_EXTERN PetscErrorCode TSPseudoSetTimeStepIncrement(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSPseudoIncrementDtFromInitialDt(TS);

PETSC_EXTERN PetscErrorCode TSPythonSetType(TS,const char[]);
PETSC_EXTERN PetscErrorCode TSPythonGetType(TS,const char*[]);

PETSC_EXTERN PetscErrorCode TSComputeRHSFunction(TS,PetscReal,Vec,Vec);
PETSC_EXTERN PetscErrorCode TSComputeRHSJacobian(TS,PetscReal,Vec,Mat,Mat);
PETSC_EXTERN PetscErrorCode TSComputeIFunction(TS,PetscReal,Vec,Vec,Vec,PetscBool);
PETSC_EXTERN PetscErrorCode TSComputeIJacobian(TS,PetscReal,Vec,Vec,PetscReal,Mat,Mat,PetscBool);
PETSC_EXTERN PetscErrorCode TSComputeI2Function(TS,PetscReal,Vec,Vec,Vec,Vec);
PETSC_EXTERN PetscErrorCode TSComputeI2Jacobian(TS,PetscReal,Vec,Vec,Vec,PetscReal,PetscReal,Mat,Mat);
PETSC_EXTERN PetscErrorCode TSComputeLinearStability(TS,PetscReal,PetscReal,PetscReal*,PetscReal*);

PETSC_EXTERN PetscErrorCode TSVISetVariableBounds(TS,Vec,Vec);

PETSC_EXTERN PetscErrorCode DMTSSetBoundaryLocal(DM, PetscErrorCode (*)(DM, PetscReal, Vec, Vec, void *), void *);
PETSC_EXTERN PetscErrorCode DMTSSetRHSFunction(DM,TSRHSFunction,void*);
PETSC_EXTERN PetscErrorCode DMTSGetRHSFunction(DM,TSRHSFunction*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetRHSFunctionContextDestroy(DM,PetscErrorCode(*)(void*));
PETSC_EXTERN PetscErrorCode DMTSSetRHSJacobian(DM,TSRHSJacobian,void*);
PETSC_EXTERN PetscErrorCode DMTSGetRHSJacobian(DM,TSRHSJacobian*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetRHSJacobianContextDestroy(DM,PetscErrorCode(*)(void*));
PETSC_EXTERN PetscErrorCode DMTSSetIFunction(DM,TSIFunction,void*);
PETSC_EXTERN PetscErrorCode DMTSGetIFunction(DM,TSIFunction*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetIFunctionContextDestroy(DM,PetscErrorCode(*)(void*));
PETSC_EXTERN PetscErrorCode DMTSSetIJacobian(DM,TSIJacobian,void*);
PETSC_EXTERN PetscErrorCode DMTSGetIJacobian(DM,TSIJacobian*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetIJacobianContextDestroy(DM,PetscErrorCode(*)(void*));
PETSC_EXTERN PetscErrorCode DMTSSetI2Function(DM,TSI2Function,void*);
PETSC_EXTERN PetscErrorCode DMTSGetI2Function(DM,TSI2Function*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetI2FunctionContextDestroy(DM,PetscErrorCode(*)(void*));
PETSC_EXTERN PetscErrorCode DMTSSetI2Jacobian(DM,TSI2Jacobian,void*);
PETSC_EXTERN PetscErrorCode DMTSGetI2Jacobian(DM,TSI2Jacobian*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetI2JacobianContextDestroy(DM,PetscErrorCode(*)(void*));

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSTransientVariable)(TS,Vec,Vec,void*);
PETSC_EXTERN PetscErrorCode TSSetTransientVariable(TS,TSTransientVariable,void*);
PETSC_EXTERN PetscErrorCode DMTSSetTransientVariable(DM,TSTransientVariable,void*);
PETSC_EXTERN PetscErrorCode DMTSGetTransientVariable(DM,TSTransientVariable*,void*);
PETSC_EXTERN PetscErrorCode TSComputeTransientVariable(TS,Vec,Vec);
PETSC_EXTERN PetscErrorCode TSHasTransientVariable(TS,PetscBool*);

PETSC_EXTERN PetscErrorCode DMTSSetSolutionFunction(DM,TSSolutionFunction,void*);
PETSC_EXTERN PetscErrorCode DMTSGetSolutionFunction(DM,TSSolutionFunction*,void**);
PETSC_EXTERN PetscErrorCode DMTSSetForcingFunction(DM,TSForcingFunction,void*);
PETSC_EXTERN PetscErrorCode DMTSGetForcingFunction(DM,TSForcingFunction*,void**);
PETSC_EXTERN PetscErrorCode DMTSCheckResidual(TS, DM, PetscReal, Vec, Vec, PetscReal, PetscReal *);
PETSC_EXTERN PetscErrorCode DMTSCheckJacobian(TS, DM, PetscReal, Vec, Vec, PetscReal, PetscBool *, PetscReal *);
PETSC_EXTERN PetscErrorCode DMTSCheckFromOptions(TS, Vec);

PETSC_EXTERN PetscErrorCode DMTSGetIFunctionLocal(DM,PetscErrorCode (**)(DM,PetscReal,Vec,Vec,Vec,void*),void**);
PETSC_EXTERN PetscErrorCode DMTSSetIFunctionLocal(DM,PetscErrorCode (*)(DM,PetscReal,Vec,Vec,Vec,void*),void*);
PETSC_EXTERN PetscErrorCode DMTSGetIJacobianLocal(DM,PetscErrorCode (**)(DM,PetscReal,Vec,Vec,PetscReal,Mat,Mat,void*),void**);
PETSC_EXTERN PetscErrorCode DMTSSetIJacobianLocal(DM,PetscErrorCode (*)(DM,PetscReal,Vec,Vec,PetscReal,Mat,Mat,void*),void*);
PETSC_EXTERN PetscErrorCode DMTSGetRHSFunctionLocal(DM,PetscErrorCode (**)(DM,PetscReal,Vec,Vec,void*),void**);
PETSC_EXTERN PetscErrorCode DMTSSetRHSFunctionLocal(DM,PetscErrorCode (*)(DM,PetscReal,Vec,Vec,void*),void*);
PETSC_EXTERN PetscErrorCode DMTSCreateRHSMassMatrix(DM);
PETSC_EXTERN PetscErrorCode DMTSCreateRHSMassMatrixLumped(DM);
PETSC_EXTERN PetscErrorCode DMTSDestroyRHSMassMatrix(DM);

PETSC_EXTERN PetscErrorCode DMTSSetIFunctionSerialize(DM,PetscErrorCode (*)(void*,PetscViewer),PetscErrorCode (*)(void**,PetscViewer));
PETSC_EXTERN PetscErrorCode DMTSSetIJacobianSerialize(DM,PetscErrorCode (*)(void*,PetscViewer),PetscErrorCode (*)(void**,PetscViewer));

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDATSRHSFunctionLocal)(DMDALocalInfo*,PetscReal,void*,void*,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDATSRHSJacobianLocal)(DMDALocalInfo*,PetscReal,void*,Mat,Mat,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDATSIFunctionLocal)(DMDALocalInfo*,PetscReal,void*,void*,void*,void*);
PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDATSIJacobianLocal)(DMDALocalInfo*,PetscReal,void*,void*,PetscReal,Mat,Mat,void*);

PETSC_EXTERN PetscErrorCode DMDATSSetRHSFunctionLocal(DM,InsertMode,PetscErrorCode (*)(DMDALocalInfo*,PetscReal,void*,void*,void*),void *);
PETSC_EXTERN PetscErrorCode DMDATSSetRHSJacobianLocal(DM,PetscErrorCode (*)(DMDALocalInfo*,PetscReal,void*,Mat,Mat,void*),void *);
PETSC_EXTERN PetscErrorCode DMDATSSetIFunctionLocal(DM,InsertMode,PetscErrorCode (*)(DMDALocalInfo*,PetscReal,void*,void*,void*,void*),void *);
PETSC_EXTERN PetscErrorCode DMDATSSetIJacobianLocal(DM,PetscErrorCode (*)(DMDALocalInfo*,PetscReal,void*,void*,PetscReal,Mat,Mat,void*),void *);

PETSC_EXTERN PetscErrorCode DMPlexTSGetGeometryFVM(DM,Vec*,Vec*,PetscReal*);

typedef struct _n_TSMonitorLGCtx*  TSMonitorLGCtx;
typedef struct {
  Vec            ray;
  VecScatter     scatter;
  PetscViewer    viewer;
  TSMonitorLGCtx lgctx;
} TSMonitorDMDARayCtx;
PETSC_EXTERN PetscErrorCode TSMonitorDMDARayDestroy(void**);
PETSC_EXTERN PetscErrorCode TSMonitorDMDARay(TS,PetscInt,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSMonitorLGDMDARay(TS,PetscInt,PetscReal,Vec,void*);

/* Dynamic creation and loading functions */
PETSC_EXTERN PetscFunctionList TSList;
PETSC_EXTERN PetscErrorCode TSGetType(TS,TSType*);
PETSC_EXTERN PetscErrorCode TSSetType(TS,TSType);
PETSC_EXTERN PetscErrorCode TSRegister(const char[], PetscErrorCode (*)(TS));

PETSC_EXTERN PetscErrorCode TSGetSNES(TS,SNES*);
PETSC_EXTERN PetscErrorCode TSSetSNES(TS,SNES);
PETSC_EXTERN PetscErrorCode TSGetKSP(TS,KSP*);

PETSC_EXTERN PetscErrorCode TSView(TS,PetscViewer);
PETSC_EXTERN PetscErrorCode TSLoad(TS,PetscViewer);
PETSC_EXTERN PetscErrorCode TSViewFromOptions(TS,PetscObject,const char[]);
PETSC_EXTERN PetscErrorCode TSTrajectoryViewFromOptions(TSTrajectory,PetscObject,const char[]);

#define TS_FILE_CLASSID 1211225

PETSC_EXTERN PetscErrorCode TSSetApplicationContext(TS,void *);
PETSC_EXTERN PetscErrorCode TSGetApplicationContext(TS,void *);

PETSC_EXTERN PetscErrorCode TSMonitorLGCtxCreate(MPI_Comm,const char[],const char[],int,int,int,int,PetscInt,TSMonitorLGCtx *);
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxDestroy(TSMonitorLGCtx*);
PETSC_EXTERN PetscErrorCode TSMonitorLGTimeStep(TS,PetscInt,PetscReal,Vec,void *);
PETSC_EXTERN PetscErrorCode TSMonitorLGSolution(TS,PetscInt,PetscReal,Vec,void *);
PETSC_EXTERN PetscErrorCode TSMonitorLGSetVariableNames(TS,const char * const*);
PETSC_EXTERN PetscErrorCode TSMonitorLGGetVariableNames(TS,const char *const **);
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx,const char * const *);
PETSC_EXTERN PetscErrorCode TSMonitorLGSetDisplayVariables(TS,const char * const*);
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx,const char * const*);
PETSC_EXTERN PetscErrorCode TSMonitorLGSetTransform(TS,PetscErrorCode (*)(void*,Vec,Vec*),PetscErrorCode (*)(void*),void*);
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxSetTransform(TSMonitorLGCtx,PetscErrorCode (*)(void*,Vec,Vec*),PetscErrorCode (*)(void*),void *);
PETSC_EXTERN PetscErrorCode TSMonitorLGError(TS,PetscInt,PetscReal,Vec,void *);
PETSC_EXTERN PetscErrorCode TSMonitorLGSNESIterations(TS,PetscInt,PetscReal,Vec,void *);
PETSC_EXTERN PetscErrorCode TSMonitorLGKSPIterations(TS,PetscInt,PetscReal,Vec,void *);
PETSC_EXTERN PetscErrorCode TSMonitorError(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat *);
PETSC_EXTERN PetscErrorCode TSDMSwarmMonitorMoments(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat *);

struct _n_TSMonitorLGCtxNetwork {
  PetscInt       nlg;
  PetscDrawLG    *lg;
  PetscBool      semilogy;
  PetscInt       howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
};
typedef struct _n_TSMonitorLGCtxNetwork*  TSMonitorLGCtxNetwork;
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxNetworkDestroy(TSMonitorLGCtxNetwork*);
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxNetworkCreate(TS,const char[],const char[],int,int,int,int,PetscInt,TSMonitorLGCtxNetwork*);
PETSC_EXTERN PetscErrorCode TSMonitorLGCtxNetworkSolution(TS,PetscInt,PetscReal,Vec,void*);

typedef struct _n_TSMonitorEnvelopeCtx*  TSMonitorEnvelopeCtx;
PETSC_EXTERN PetscErrorCode TSMonitorEnvelopeCtxCreate(TS,TSMonitorEnvelopeCtx*);
PETSC_EXTERN PetscErrorCode TSMonitorEnvelope(TS,PetscInt,PetscReal,Vec,void*);
PETSC_EXTERN PetscErrorCode TSMonitorEnvelopeGetBounds(TS,Vec*,Vec*);
PETSC_EXTERN PetscErrorCode TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx*);

typedef struct _n_TSMonitorSPEigCtx*  TSMonitorSPEigCtx;
PETSC_EXTERN PetscErrorCode TSMonitorSPEigCtxCreate(MPI_Comm,const char[],const char[],int,int,int,int,PetscInt,TSMonitorSPEigCtx *);
PETSC_EXTERN PetscErrorCode TSMonitorSPEigCtxDestroy(TSMonitorSPEigCtx*);
PETSC_EXTERN PetscErrorCode TSMonitorSPEig(TS,PetscInt,PetscReal,Vec,void *);

typedef struct _n_TSMonitorSPCtx* TSMonitorSPCtx;
PETSC_EXTERN PetscErrorCode TSMonitorSPCtxCreate(MPI_Comm,const char[],const char[],int,int,int,int,PetscInt,PetscInt,PetscBool,TSMonitorSPCtx*);
PETSC_EXTERN PetscErrorCode TSMonitorSPCtxDestroy(TSMonitorSPCtx*);
PETSC_EXTERN PetscErrorCode TSMonitorSPSwarmSolution(TS,PetscInt,PetscReal,Vec,void*);

PETSC_EXTERN PetscErrorCode TSSetEventHandler(TS,PetscInt,PetscInt[],PetscBool[],PetscErrorCode (*)(TS,PetscReal,Vec,PetscScalar[],void*),PetscErrorCode (*)(TS,PetscInt,PetscInt[],PetscReal,Vec,PetscBool,void*),void*);
PETSC_EXTERN PetscErrorCode TSSetPostEventIntervalStep(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSSetEventTolerances(TS,PetscReal,PetscReal[]);
PETSC_EXTERN PetscErrorCode TSGetNumEvents(TS,PetscInt*);

/*J
   TSSSPType - string with the name of TSSSP scheme.

   Level: beginner

.seealso: `TSSSPSetType()`, `TS`
J*/
typedef const char* TSSSPType;
#define TSSSPRKS2  "rks2"
#define TSSSPRKS3  "rks3"
#define TSSSPRK104 "rk104"

PETSC_EXTERN PetscErrorCode TSSSPSetType(TS,TSSSPType);
PETSC_EXTERN PetscErrorCode TSSSPGetType(TS,TSSSPType*);
PETSC_EXTERN PetscErrorCode TSSSPSetNumStages(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSSSPGetNumStages(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSSSPInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSSSPFinalizePackage(void);
PETSC_EXTERN PetscFunctionList TSSSPList;

/*S
   TSAdapt - Abstract object that manages time-step adaptivity

   Level: beginner

.seealso: `TS`, `TSAdaptCreate()`, `TSAdaptType`
S*/
typedef struct _p_TSAdapt *TSAdapt;

/*J
    TSAdaptType - String with the name of TSAdapt scheme.

   Level: beginner

.seealso: `TSAdaptSetType()`, `TS`
J*/
typedef const char *TSAdaptType;
#define TSADAPTNONE    "none"
#define TSADAPTBASIC   "basic"
#define TSADAPTDSP     "dsp"
#define TSADAPTCFL     "cfl"
#define TSADAPTGLEE    "glee"
#define TSADAPTHISTORY "history"

PETSC_EXTERN PetscErrorCode TSGetAdapt(TS,TSAdapt*);
PETSC_EXTERN PetscErrorCode TSAdaptRegister(const char[],PetscErrorCode (*)(TSAdapt));
PETSC_EXTERN PetscErrorCode TSAdaptInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSAdaptFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSAdaptCreate(MPI_Comm,TSAdapt*);
PETSC_EXTERN PetscErrorCode TSAdaptSetType(TSAdapt,TSAdaptType);
PETSC_EXTERN PetscErrorCode TSAdaptGetType(TSAdapt,TSAdaptType*);
PETSC_EXTERN PetscErrorCode TSAdaptSetOptionsPrefix(TSAdapt,const char[]);
PETSC_EXTERN PetscErrorCode TSAdaptCandidatesClear(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptCandidateAdd(TSAdapt,const char[],PetscInt,PetscInt,PetscReal,PetscReal,PetscBool);
PETSC_EXTERN PetscErrorCode TSAdaptCandidatesGet(TSAdapt,PetscInt*,const PetscInt**,const PetscInt**,const PetscReal**,const PetscReal**);
PETSC_EXTERN PetscErrorCode TSAdaptChoose(TSAdapt,TS,PetscReal,PetscInt*,PetscReal*,PetscBool*);
PETSC_EXTERN PetscErrorCode TSAdaptCheckStage(TSAdapt,TS,PetscReal,Vec,PetscBool*);
PETSC_EXTERN PetscErrorCode TSAdaptView(TSAdapt,PetscViewer);
PETSC_EXTERN PetscErrorCode TSAdaptLoad(TSAdapt,PetscViewer);
PETSC_EXTERN PetscErrorCode TSAdaptSetFromOptions(PetscOptionItems*,TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptReset(TSAdapt);
PETSC_EXTERN PetscErrorCode TSAdaptDestroy(TSAdapt*);
PETSC_EXTERN PetscErrorCode TSAdaptSetMonitor(TSAdapt,PetscBool);
PETSC_EXTERN PetscErrorCode TSAdaptSetAlwaysAccept(TSAdapt,PetscBool);
PETSC_EXTERN PetscErrorCode TSAdaptSetSafety(TSAdapt,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSAdaptGetSafety(TSAdapt,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSAdaptSetMaxIgnore(TSAdapt,PetscReal);
PETSC_EXTERN PetscErrorCode TSAdaptGetMaxIgnore(TSAdapt,PetscReal*);
PETSC_EXTERN PetscErrorCode TSAdaptSetClip(TSAdapt,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSAdaptGetClip(TSAdapt,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSAdaptSetScaleSolveFailed(TSAdapt,PetscReal);
PETSC_EXTERN PetscErrorCode TSAdaptGetScaleSolveFailed(TSAdapt,PetscReal*);
PETSC_EXTERN PetscErrorCode TSAdaptSetStepLimits(TSAdapt,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSAdaptGetStepLimits(TSAdapt,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSAdaptSetCheckStage(TSAdapt,PetscErrorCode(*)(TSAdapt,TS,PetscReal,Vec,PetscBool*));
PETSC_EXTERN PetscErrorCode TSAdaptHistorySetHistory(TSAdapt,PetscInt n,PetscReal hist[],PetscBool);
PETSC_EXTERN PetscErrorCode TSAdaptHistorySetTrajectory(TSAdapt,TSTrajectory,PetscBool);
PETSC_EXTERN PetscErrorCode TSAdaptHistoryGetStep(TSAdapt,PetscInt,PetscReal*,PetscReal*);
PETSC_EXTERN PetscErrorCode TSAdaptSetTimeStepIncreaseDelay(TSAdapt,PetscInt);
PETSC_EXTERN PetscErrorCode TSAdaptDSPSetFilter(TSAdapt,const char *);
PETSC_EXTERN PetscErrorCode TSAdaptDSPSetPID(TSAdapt,PetscReal,PetscReal,PetscReal);

/*S
   TSGLLEAdapt - Abstract object that manages time-step adaptivity

   Level: beginner

   Developer Notes:
   This functionality should be replaced by the TSAdapt.

.seealso: `TSGLLE`, `TSGLLEAdaptCreate()`, `TSGLLEAdaptType`
S*/
typedef struct _p_TSGLLEAdapt *TSGLLEAdapt;

/*J
    TSGLLEAdaptType - String with the name of TSGLLEAdapt scheme

   Level: beginner

.seealso: `TSGLLEAdaptSetType()`, `TS`
J*/
typedef const char *TSGLLEAdaptType;
#define TSGLLEADAPT_NONE "none"
#define TSGLLEADAPT_SIZE "size"
#define TSGLLEADAPT_BOTH "both"

PETSC_EXTERN PetscErrorCode TSGLLEAdaptRegister(const char[],PetscErrorCode (*)(TSGLLEAdapt));
PETSC_EXTERN PetscErrorCode TSGLLEAdaptInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptCreate(MPI_Comm,TSGLLEAdapt*);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptSetType(TSGLLEAdapt,TSGLLEAdaptType);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptSetOptionsPrefix(TSGLLEAdapt,const char[]);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptChoose(TSGLLEAdapt,PetscInt,const PetscInt[],const PetscReal[],const PetscReal[],PetscInt,PetscReal,PetscReal,PetscInt*,PetscReal*,PetscBool *);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptView(TSGLLEAdapt,PetscViewer);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptSetFromOptions(PetscOptionItems*,TSGLLEAdapt);
PETSC_EXTERN PetscErrorCode TSGLLEAdaptDestroy(TSGLLEAdapt*);

/*J
    TSGLLEAcceptType - String with the name of TSGLLEAccept scheme

   Level: beginner

.seealso: `TSGLLESetAcceptType()`, `TS`
J*/
typedef const char *TSGLLEAcceptType;
#define TSGLLEACCEPT_ALWAYS "always"

PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*TSGLLEAcceptFunction)(TS,PetscReal,PetscReal,const PetscReal[],PetscBool *);
PETSC_EXTERN PetscErrorCode TSGLLEAcceptRegister(const char[],TSGLLEAcceptFunction);

/*J
  TSGLLEType - family of time integration method within the General Linear class

  Level: beginner

.seealso: `TSGLLESetType()`, `TSGLLERegister()`
J*/
typedef const char* TSGLLEType;
#define TSGLLE_IRKS   "irks"

PETSC_EXTERN PetscErrorCode TSGLLERegister(const char[],PetscErrorCode(*)(TS));
PETSC_EXTERN PetscErrorCode TSGLLEInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSGLLEFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSGLLESetType(TS,TSGLLEType);
PETSC_EXTERN PetscErrorCode TSGLLEGetAdapt(TS,TSGLLEAdapt*);
PETSC_EXTERN PetscErrorCode TSGLLESetAcceptType(TS,TSGLLEAcceptType);

/*J
    TSEIMEXType - String with the name of an Extrapolated IMEX method.

   Level: beginner

.seealso: `TSEIMEXSetType()`, `TS`, `TSEIMEX`, `TSEIMEXRegister()`
J*/
#define TSEIMEXType   char*

PETSC_EXTERN PetscErrorCode TSEIMEXSetMaxRows(TS ts,PetscInt);
PETSC_EXTERN PetscErrorCode TSEIMEXSetRowCol(TS ts,PetscInt,PetscInt);
PETSC_EXTERN PetscErrorCode TSEIMEXSetOrdAdapt(TS,PetscBool);

/*J
    TSRKType - String with the name of a Runge-Kutta method.

   Level: beginner

.seealso: `TSRKSetType()`, `TS`, `TSRK`, `TSRKRegister()`
J*/
typedef const char* TSRKType;
#define TSRK1FE   "1fe"
#define TSRK2A    "2a"
#define TSRK2B    "2b"
#define TSRK3     "3"
#define TSRK3BS   "3bs"
#define TSRK4     "4"
#define TSRK5F    "5f"
#define TSRK5DP   "5dp"
#define TSRK5BS   "5bs"
#define TSRK6VR   "6vr"
#define TSRK7VR   "7vr"
#define TSRK8VR   "8vr"

PETSC_EXTERN PetscErrorCode TSRKGetOrder(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSRKGetType(TS,TSRKType*);
PETSC_EXTERN PetscErrorCode TSRKSetType(TS,TSRKType);
PETSC_EXTERN PetscErrorCode TSRKGetTableau(TS,PetscInt*,const PetscReal**,const PetscReal**,const PetscReal**,const PetscReal**,PetscInt*,const PetscReal**,PetscBool*);
PETSC_EXTERN PetscErrorCode TSRKSetMultirate(TS,PetscBool);
PETSC_EXTERN PetscErrorCode TSRKGetMultirate(TS,PetscBool*);
PETSC_EXTERN PetscErrorCode TSRKRegister(TSRKType,PetscInt,PetscInt,const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],PetscInt,const PetscReal[]);
PETSC_EXTERN PetscErrorCode TSRKInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSRKFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSRKRegisterDestroy(void);

/*J
   TSMPRKType - String with the name of a Partitioned Runge-Kutta method

   Level: beginner

.seealso: `TSMPRKSetType()`, `TS`, `TSMPRK`, `TSMPRKRegister()`
J*/
typedef const char* TSMPRKType;
#define TSMPRK2A22  "2a22"
#define TSMPRK2A23  "2a23"
#define TSMPRK2A32  "2a32"
#define TSMPRK2A33  "2a33"
#define TSMPRKP2    "p2"
#define TSMPRKP3    "p3"

PETSC_EXTERN PetscErrorCode TSMPRKGetType(TS ts,TSMPRKType*);
PETSC_EXTERN PetscErrorCode TSMPRKSetType(TS ts,TSMPRKType);
PETSC_EXTERN PetscErrorCode TSMPRKRegister(TSMPRKType,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],const PetscReal[],const PetscReal[],const PetscInt[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscInt [],const PetscReal[],const PetscReal[],const PetscReal[]);
PETSC_EXTERN PetscErrorCode TSMPRKInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSMPRKFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSMPRKRegisterDestroy(void);

/*J
    TSIRKType - String with the name of an implicit Runge-Kutta method.

   Level: beginner

.seealso: `TSIRKSetType()`, `TS`, `TSIRK`, `TSIRKRegister()`
J*/
typedef const char* TSIRKType;
#define TSIRKGAUSS   "gauss"

PETSC_EXTERN PetscErrorCode TSIRKGetOrder(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSIRKGetType(TS,TSIRKType*);
PETSC_EXTERN PetscErrorCode TSIRKSetType(TS,TSIRKType);
PETSC_EXTERN PetscErrorCode TSIRKGetNumStages(TS,PetscInt*);
PETSC_EXTERN PetscErrorCode TSIRKSetNumStages(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSIRKRegister(const char[],PetscErrorCode (*function)(TS));
PETSC_EXTERN PetscErrorCode TSIRKTableauCreate(TS,PetscInt,const PetscReal*,const PetscReal*,const PetscReal*,const PetscReal*,const PetscScalar*,const PetscScalar*,const PetscScalar*);
PETSC_EXTERN PetscErrorCode TSIRKInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSIRKFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSIRKRegisterDestroy(void);

/*J
    TSGLEEType - String with the name of a General Linear with Error Estimation method.

   Level: beginner

.seealso: `TSGLEESetType()`, `TS`, `TSGLEE`, `TSGLEERegister()`
J*/
typedef const char* TSGLEEType;
#define TSGLEEi1      "BE1"
#define TSGLEE23      "23"
#define TSGLEE24      "24"
#define TSGLEE25I     "25i"
#define TSGLEE35      "35"
#define TSGLEEEXRK2A  "exrk2a"
#define TSGLEERK32G1  "rk32g1"
#define TSGLEERK285EX "rk285ex"
/*J
    TSGLEEMode - String with the mode of error estimation for a General Linear with Error Estimation method.

   Level: beginner

.seealso: `TSGLEESetMode()`, `TS`, `TSGLEE`, `TSGLEERegister()`
J*/
PETSC_EXTERN PetscErrorCode TSGLEEGetType(TS ts,TSGLEEType*);
PETSC_EXTERN PetscErrorCode TSGLEESetType(TS ts,TSGLEEType);
PETSC_EXTERN PetscErrorCode TSGLEERegister(TSGLEEType,PetscInt,PetscInt,PetscInt,PetscReal,const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],PetscInt,const PetscReal[]);
PETSC_EXTERN PetscErrorCode TSGLEEFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSGLEEInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSGLEERegisterDestroy(void);

/*J
    TSARKIMEXType - String with the name of an Additive Runge-Kutta IMEX method.

   Level: beginner

.seealso: `TSARKIMEXSetType()`, `TS`, `TSARKIMEX`, `TSARKIMEXRegister()`
J*/
typedef const char* TSARKIMEXType;
#define TSARKIMEX1BEE   "1bee"
#define TSARKIMEXA2     "a2"
#define TSARKIMEXL2     "l2"
#define TSARKIMEXARS122 "ars122"
#define TSARKIMEX2C     "2c"
#define TSARKIMEX2D     "2d"
#define TSARKIMEX2E     "2e"
#define TSARKIMEXPRSSP2 "prssp2"
#define TSARKIMEX3      "3"
#define TSARKIMEXBPR3   "bpr3"
#define TSARKIMEXARS443 "ars443"
#define TSARKIMEX4      "4"
#define TSARKIMEX5      "5"
PETSC_EXTERN PetscErrorCode TSARKIMEXGetType(TS ts,TSARKIMEXType*);
PETSC_EXTERN PetscErrorCode TSARKIMEXSetType(TS ts,TSARKIMEXType);
PETSC_EXTERN PetscErrorCode TSARKIMEXSetFullyImplicit(TS,PetscBool);
PETSC_EXTERN PetscErrorCode TSARKIMEXGetFullyImplicit(TS,PetscBool*);
PETSC_EXTERN PetscErrorCode TSARKIMEXRegister(TSARKIMEXType,PetscInt,PetscInt,const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],PetscInt,const PetscReal[],const PetscReal[]);
PETSC_EXTERN PetscErrorCode TSARKIMEXInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSARKIMEXFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSARKIMEXRegisterDestroy(void);

/*J
    TSRosWType - String with the name of a Rosenbrock-W method.

   Level: beginner

.seealso: `TSRosWSetType()`, `TS`, `TSROSW`, `TSRosWRegister()`
J*/
typedef const char* TSRosWType;
#define TSROSW2M          "2m"
#define TSROSW2P          "2p"
#define TSROSWRA3PW       "ra3pw"
#define TSROSWRA34PW2     "ra34pw2"
#define TSROSWRODAS3      "rodas3"
#define TSROSWSANDU3      "sandu3"
#define TSROSWASSP3P3S1C  "assp3p3s1c"
#define TSROSWLASSP3P4S2C "lassp3p4s2c"
#define TSROSWLLSSP3P4S2C "llssp3p4s2c"
#define TSROSWARK3        "ark3"
#define TSROSWTHETA1      "theta1"
#define TSROSWTHETA2      "theta2"
#define TSROSWGRK4T       "grk4t"
#define TSROSWSHAMP4      "shamp4"
#define TSROSWVELDD4      "veldd4"
#define TSROSW4L          "4l"

PETSC_EXTERN PetscErrorCode TSRosWGetType(TS,TSRosWType*);
PETSC_EXTERN PetscErrorCode TSRosWSetType(TS,TSRosWType);
PETSC_EXTERN PetscErrorCode TSRosWSetRecomputeJacobian(TS,PetscBool);
PETSC_EXTERN PetscErrorCode TSRosWRegister(TSRosWType,PetscInt,PetscInt,const PetscReal[],const PetscReal[],const PetscReal[],const PetscReal[],PetscInt,const PetscReal[]);
PETSC_EXTERN PetscErrorCode TSRosWRegisterRos4(TSRosWType,PetscReal,PetscReal,PetscReal,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSRosWInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSRosWFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSRosWRegisterDestroy(void);

PETSC_EXTERN PetscErrorCode TSBDFSetOrder(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSBDFGetOrder(TS,PetscInt*);

/*J
  TSBasicSymplecticType - String with the name of a basic symplectic integration method.

  Level: beginner

  .seealso: `TSBasicSymplecticSetType()`, `TS`, `TSBASICSYMPLECTIC`, `TSBasicSymplecticRegister()`
J*/
typedef const char* TSBasicSymplecticType;
#define TSBASICSYMPLECTICSIEULER   "1"
#define TSBASICSYMPLECTICVELVERLET "2"
#define TSBASICSYMPLECTIC3         "3"
#define TSBASICSYMPLECTIC4         "4"
PETSC_EXTERN PetscErrorCode TSBasicSymplecticSetType(TS,TSBasicSymplecticType);
PETSC_EXTERN PetscErrorCode TSBasicSymplecticGetType(TS,TSBasicSymplecticType*);
PETSC_EXTERN PetscErrorCode TSBasicSymplecticRegister(TSBasicSymplecticType,PetscInt,PetscInt,PetscReal[],PetscReal[]);
PETSC_EXTERN PetscErrorCode TSBasicSymplecticInitializePackage(void);
PETSC_EXTERN PetscErrorCode TSBasicSymplecticFinalizePackage(void);
PETSC_EXTERN PetscErrorCode TSBasicSymplecticRegisterDestroy(void);

/*J
  TSDiscreteGradient - The Discrete Gradient integrator is a timestepper for hamiltonian systems designed to conserve the first integral (energy), but also has the property for some systems of monotonicity in a functional.

  Level: beginner

  .seealso: `TS`, `TSDISCGRAD`, `TSDiscGradSetFormulation()`, `TSDiscGradGetFormulation`
J*/
PETSC_EXTERN PetscErrorCode TSDiscGradSetFormulation(TS, PetscErrorCode(*)(TS, PetscReal, Vec, Mat, void *), PetscErrorCode(*)(TS, PetscReal, Vec, PetscScalar *, void *), PetscErrorCode(*)(TS, PetscReal, Vec, Vec, void *), void *);
PETSC_EXTERN PetscErrorCode TSDiscGradIsGonzalez(TS,PetscBool*);
PETSC_EXTERN PetscErrorCode TSDiscGradUseGonzalez(TS,PetscBool);

/*
       PETSc interface to Sundials
*/
#ifdef PETSC_HAVE_SUNDIALS2
typedef enum { SUNDIALS_ADAMS=1,SUNDIALS_BDF=2} TSSundialsLmmType;
PETSC_EXTERN const char *const TSSundialsLmmTypes[];
typedef enum { SUNDIALS_MODIFIED_GS = 1,SUNDIALS_CLASSICAL_GS = 2 } TSSundialsGramSchmidtType;
PETSC_EXTERN const char *const TSSundialsGramSchmidtTypes[];
PETSC_EXTERN PetscErrorCode TSSundialsSetType(TS,TSSundialsLmmType);
PETSC_EXTERN PetscErrorCode TSSundialsGetPC(TS,PC*);
PETSC_EXTERN PetscErrorCode TSSundialsSetTolerance(TS,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSSundialsSetMinTimeStep(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSSundialsSetMaxTimeStep(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSSundialsGetIterations(TS,PetscInt *,PetscInt *);
PETSC_EXTERN PetscErrorCode TSSundialsSetGramSchmidtType(TS,TSSundialsGramSchmidtType);
PETSC_EXTERN PetscErrorCode TSSundialsSetGMRESRestart(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSSundialsSetLinearTolerance(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSSundialsMonitorInternalSteps(TS,PetscBool);
PETSC_EXTERN PetscErrorCode TSSundialsGetParameters(TS,PetscInt *,long*[],double*[]);
PETSC_EXTERN PetscErrorCode TSSundialsSetMaxl(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSSundialsSetMaxord(TS,PetscInt);
PETSC_EXTERN PetscErrorCode TSSundialsSetUseDense(TS,PetscBool);
#endif

PETSC_EXTERN PetscErrorCode TSThetaSetTheta(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSThetaGetTheta(TS,PetscReal*);
PETSC_EXTERN PetscErrorCode TSThetaGetEndpoint(TS,PetscBool*);
PETSC_EXTERN PetscErrorCode TSThetaSetEndpoint(TS,PetscBool);

PETSC_EXTERN PetscErrorCode TSAlphaSetRadius(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSAlphaSetParams(TS,PetscReal,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSAlphaGetParams(TS,PetscReal*,PetscReal*,PetscReal*);

PETSC_EXTERN PetscErrorCode TSAlpha2SetRadius(TS,PetscReal);
PETSC_EXTERN PetscErrorCode TSAlpha2SetParams(TS,PetscReal,PetscReal,PetscReal,PetscReal);
PETSC_EXTERN PetscErrorCode TSAlpha2GetParams(TS,PetscReal*,PetscReal*,PetscReal*,PetscReal*);

PETSC_EXTERN PetscErrorCode TSSetDM(TS,DM);
PETSC_EXTERN PetscErrorCode TSGetDM(TS,DM*);

PETSC_EXTERN PetscErrorCode SNESTSFormFunction(SNES,Vec,Vec,void*);
PETSC_EXTERN PetscErrorCode SNESTSFormJacobian(SNES,Vec,Mat,Mat,void*);

PETSC_EXTERN PetscErrorCode TSRHSJacobianTest(TS,PetscBool*);
PETSC_EXTERN PetscErrorCode TSRHSJacobianTestTranspose(TS,PetscBool*);

PETSC_EXTERN PetscErrorCode TSGetComputeInitialCondition(TS, PetscErrorCode (**)(TS, Vec));
PETSC_EXTERN PetscErrorCode TSSetComputeInitialCondition(TS, PetscErrorCode (*)(TS, Vec));
PETSC_EXTERN PetscErrorCode TSComputeInitialCondition(TS, Vec);
PETSC_EXTERN PetscErrorCode TSGetComputeExactError(TS, PetscErrorCode (**)(TS, Vec, Vec));
PETSC_EXTERN PetscErrorCode TSSetComputeExactError(TS, PetscErrorCode (*)(TS, Vec, Vec));
PETSC_EXTERN PetscErrorCode TSComputeExactError(TS, Vec, Vec);
PETSC_EXTERN PetscErrorCode PetscConvEstUseTS(PetscConvEst, PetscBool);

PETSC_EXTERN PetscErrorCode TSSetMatStructure(TS,MatStructure);
#endif