xref: /petsc/src/ts/interface/ts.c (revision 03fe5f5e114e4f28839bf06adf0a8583e01d577d) !
1 
2 #include <petsc/private/tsimpl.h>        /*I "petscts.h"  I*/
3 #include <petscdmshell.h>
4 #include <petscdmda.h>
5 #include <petscviewer.h>
6 #include <petscdraw.h>
7 
8 /* Logging support */
9 PetscClassId  TS_CLASSID, DMTS_CLASSID;
10 PetscLogEvent TS_AdjointStep, TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"UNSPECIFIED","STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   Vec           initialsolution;
17   PetscBool     showinitial;
18   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
19   PetscBool     showtimestepandtime;
20 };
21 
22 #undef __FUNCT__
23 #define __FUNCT__ "TSMonitorSetFromOptions"
24 /*@C
25    TSMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
26 
27    Collective on TS
28 
29    Input Parameters:
30 +  ts - TS object you wish to monitor
31 .  name - the monitor type one is seeking
32 .  help - message indicating what monitoring is done
33 .  manual - manual page for the monitor
34 .  monitor - the monitor function
35 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
36 
37    Level: developer
38 
39 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
40           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
41           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
42           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
43           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
44           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
45           PetscOptionsFList(), PetscOptionsEList()
46 @*/
47 PetscErrorCode  TSMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
48 {
49   PetscErrorCode    ierr;
50   PetscViewer       viewer;
51   PetscViewerFormat format;
52   PetscBool         flg;
53 
54   PetscFunctionBegin;
55   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
56   if (flg) {
57     PetscViewerAndFormat *vf;
58     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
59     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
60     if (monitorsetup) {
61       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
62     }
63     ierr = TSMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
64   }
65   PetscFunctionReturn(0);
66 }
67 
68 #undef __FUNCT__
69 #define __FUNCT__ "TSAdjointMonitorSetFromOptions"
70 /*@C
71    TSAdjointMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
72 
73    Collective on TS
74 
75    Input Parameters:
76 +  ts - TS object you wish to monitor
77 .  name - the monitor type one is seeking
78 .  help - message indicating what monitoring is done
79 .  manual - manual page for the monitor
80 .  monitor - the monitor function
81 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
82 
83    Level: developer
84 
85 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
86           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
87           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
88           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
89           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
90           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
91           PetscOptionsFList(), PetscOptionsEList()
92 @*/
93 PetscErrorCode  TSAdjointMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
94 {
95   PetscErrorCode    ierr;
96   PetscViewer       viewer;
97   PetscViewerFormat format;
98   PetscBool         flg;
99 
100   PetscFunctionBegin;
101   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
102   if (flg) {
103     PetscViewerAndFormat *vf;
104     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
105     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
106     if (monitorsetup) {
107       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
108     }
109     ierr = TSAdjointMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
110   }
111   PetscFunctionReturn(0);
112 }
113 
114 #undef __FUNCT__
115 #define __FUNCT__ "TSSetFromOptions"
116 /*@
117    TSSetFromOptions - Sets various TS parameters from user options.
118 
119    Collective on TS
120 
121    Input Parameter:
122 .  ts - the TS context obtained from TSCreate()
123 
124    Options Database Keys:
125 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSALPHA, TSGLLE, TSSSP, TSGLEE
126 .  -ts_save_trajectory - checkpoint the solution at each time-step
127 .  -ts_max_steps <maxsteps> - maximum number of time-steps to take
128 .  -ts_final_time <time> - maximum time to compute to
129 .  -ts_dt <dt> - initial time step
130 .  -ts_exact_final_time <stepover,interpolate,matchstep> whether to stop at the exact given final time and how to compute the solution at that ti,e
131 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
132 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
133 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
134 .  -ts_rtol <rtol> - relative tolerance for local truncation error
135 .  -ts_atol <atol> Absolute tolerance for local truncation error
136 .  -ts_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
137 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
138 .  -ts_monitor - print information at each timestep
139 .  -ts_monitor_lg_solution - Monitor solution graphically
140 .  -ts_monitor_lg_error - Monitor error graphically
141 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
142 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
143 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
144 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
145 .  -ts_monitor_draw_solution - Monitor solution graphically
146 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
147 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
148 .  -ts_monitor_solution [ascii binary draw][:filename][:viewerformat] - monitors the solution at each timestep
149 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
150 .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
151 .  -ts_adjoint_monitor - print information at each adjoint time step
152 -  -ts_adjoint_monitor_draw_sensi - monitor the sensitivity of the first cost function wrt initial conditions (lambda[0]) graphically
153 
154    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
155 
156    Level: beginner
157 
158 .keywords: TS, timestep, set, options, database
159 
160 .seealso: TSGetType()
161 @*/
162 PetscErrorCode  TSSetFromOptions(TS ts)
163 {
164   PetscBool              opt,flg,tflg;
165   PetscErrorCode         ierr;
166   char                   monfilename[PETSC_MAX_PATH_LEN];
167   PetscReal              time_step;
168   TSExactFinalTimeOption eftopt;
169   char                   dir[16];
170   TSIFunction            ifun;
171   const char             *defaultType;
172   char                   typeName[256];
173 
174   PetscFunctionBegin;
175   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
176 
177   ierr = TSRegisterAll();CHKERRQ(ierr);
178   ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
179 
180   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
181   if (((PetscObject)ts)->type_name)
182     defaultType = ((PetscObject)ts)->type_name;
183   else
184     defaultType = ifun ? TSBEULER : TSEULER;
185   ierr = PetscOptionsFList("-ts_type","TS method","TSSetType",TSList,defaultType,typeName,256,&opt);CHKERRQ(ierr);
186   if (opt) {
187     ierr = TSSetType(ts,typeName);CHKERRQ(ierr);
188   } else {
189     ierr = TSSetType(ts,defaultType);CHKERRQ(ierr);
190   }
191 
192   /* Handle generic TS options */
193   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
194   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
195   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
196   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
197   if (flg) {ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);}
198   ierr = PetscOptionsEnum("-ts_exact_final_time","Option for handling of final time step","TSSetExactFinalTime",TSExactFinalTimeOptions,(PetscEnum)ts->exact_final_time,(PetscEnum*)&eftopt,&flg);CHKERRQ(ierr);
199   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
200   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
201   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
202   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
203   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
204   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
205 
206 #if defined(PETSC_HAVE_SAWS)
207   {
208   PetscBool set;
209   flg  = PETSC_FALSE;
210   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
211   if (set) {
212     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
213   }
214   }
215 #endif
216 
217   /* Monitor options */
218   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor","Monitor time and timestep size","TSMonitorDefault",TSMonitorDefault,NULL);CHKERRQ(ierr);
219   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor_solution","View the solution at each timestep","TSMonitorSolution",TSMonitorSolution,NULL);CHKERRQ(ierr);
220   ierr = TSAdjointMonitorSetFromOptions(ts,"-ts_adjoint_monitor","Monitor adjoint timestep size","TSAdjointMonitorDefault",TSAdjointMonitorDefault,NULL);CHKERRQ(ierr);
221 
222   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
223   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
224 
225   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
226   if (opt) {
227     TSMonitorLGCtx ctx;
228     PetscInt       howoften = 1;
229 
230     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
231     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
232     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
233   }
234 
235   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorLGCtx ctx;
238     PetscInt       howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
243   }
244 
245   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
246   if (opt) {
247     TSMonitorLGCtx ctx;
248     PetscInt       howoften = 1;
249 
250     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
251     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
252     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
253   }
254   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
255   if (opt) {
256     TSMonitorLGCtx ctx;
257     PetscInt       howoften = 1;
258 
259     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
260     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
261     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
262   }
263   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
264   if (opt) {
265     TSMonitorLGCtx ctx;
266     PetscInt       howoften = 1;
267 
268     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
269     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
270     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
271   }
272   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
273   if (opt) {
274     TSMonitorSPEigCtx ctx;
275     PetscInt          howoften = 1;
276 
277     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
278     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
279     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
280   }
281   opt  = PETSC_FALSE;
282   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
283   if (opt) {
284     TSMonitorDrawCtx ctx;
285     PetscInt         howoften = 1;
286 
287     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
288     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
289     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
290   }
291   opt  = PETSC_FALSE;
292   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
293   if (opt) {
294     TSMonitorDrawCtx ctx;
295     PetscInt         howoften = 1;
296 
297     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
298     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
299     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
300   }
301   opt  = PETSC_FALSE;
302   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
303   if (opt) {
304     TSMonitorDrawCtx ctx;
305     PetscReal        bounds[4];
306     PetscInt         n = 4;
307     PetscDraw        draw;
308     PetscDrawAxis    axis;
309 
310     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
311     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
312     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,1,&ctx);CHKERRQ(ierr);
313     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
314     ierr = PetscViewerDrawGetDrawAxis(ctx->viewer,0,&axis);CHKERRQ(ierr);
315     ierr = PetscDrawAxisSetLimits(axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
316     ierr = PetscDrawAxisSetLabels(axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
317     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
318   }
319   opt  = PETSC_FALSE;
320   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
321   if (opt) {
322     TSMonitorDrawCtx ctx;
323     PetscInt         howoften = 1;
324 
325     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
326     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
327     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
328   }
329 
330   opt  = PETSC_FALSE;
331   ierr = PetscOptionsString("-ts_monitor_solution_vtk","Save each time step to a binary file, use filename-%%03D.vts","TSMonitorSolutionVTK",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
332   if (flg) {
333     const char *ptr,*ptr2;
334     char       *filetemplate;
335     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
336     /* Do some cursory validation of the input. */
337     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
338     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
339     for (ptr++; ptr && *ptr; ptr++) {
340       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
341       if (!ptr2 && (*ptr < '0' || '9' < *ptr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Invalid file template argument to -ts_monitor_solution_vtk, should look like filename-%%03D.vts");
342       if (ptr2) break;
343     }
344     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
345     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
346   }
347 
348   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
349   if (flg) {
350     TSMonitorDMDARayCtx *rayctx;
351     int                  ray = 0;
352     DMDADirection        ddir;
353     DM                   da;
354     PetscMPIInt          rank;
355 
356     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
357     if (dir[0] == 'x') ddir = DMDA_X;
358     else if (dir[0] == 'y') ddir = DMDA_Y;
359     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
360     sscanf(dir+2,"%d",&ray);
361 
362     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
363     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
364     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
365     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
366     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
367     if (!rank) {
368       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
369     }
370     rayctx->lgctx = NULL;
371     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
372   }
373   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
374   if (flg) {
375     TSMonitorDMDARayCtx *rayctx;
376     int                 ray = 0;
377     DMDADirection       ddir;
378     DM                  da;
379     PetscInt            howoften = 1;
380 
381     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
382     if      (dir[0] == 'x') ddir = DMDA_X;
383     else if (dir[0] == 'y') ddir = DMDA_Y;
384     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
385     sscanf(dir+2, "%d", &ray);
386 
387     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
388     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
389     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
390     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
391     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
392     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
393   }
394 
395   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
396   if (opt) {
397     TSMonitorEnvelopeCtx ctx;
398 
399     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
400     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
401   }
402 
403   flg  = PETSC_FALSE;
404   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
405   if (flg) {
406     DM   dm;
407     DMTS tdm;
408 
409     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
410     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
411     tdm->ijacobianctx = NULL;
412     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
413     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
414   }
415 
416   if (ts->adapt) {
417     ierr = TSAdaptSetFromOptions(PetscOptionsObject,ts->adapt);CHKERRQ(ierr);
418   }
419 
420   /* Handle specific TS options */
421   if (ts->ops->setfromoptions) {
422     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
423   }
424 
425   /* TS trajectory must be set after TS, since it may use some TS options above */
426   tflg = ts->trajectory ? PETSC_TRUE : PETSC_FALSE;
427   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
428   if (tflg) {
429     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
430   }
431   tflg = ts->adjoint_solve ? PETSC_TRUE : PETSC_FALSE;
432   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
433   if (flg) {
434     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
435     ts->adjoint_solve = tflg;
436   }
437 
438   /* process any options handlers added with PetscObjectAddOptionsHandler() */
439   ierr = PetscObjectProcessOptionsHandlers(PetscOptionsObject,(PetscObject)ts);CHKERRQ(ierr);
440   ierr = PetscOptionsEnd();CHKERRQ(ierr);
441 
442   if (ts->trajectory) {
443     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
444   }
445 
446   ierr = TSGetSNES(ts,&ts->snes);CHKERRQ(ierr);
447   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);}
448   ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "TSSetSaveTrajectory"
454 /*@
455    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
456 
457    Collective on TS
458 
459    Input Parameters:
460 .  ts - the TS context obtained from TSCreate()
461 
462 Note: This routine should be called after all TS options have been set
463 
464    Level: intermediate
465 
466 .seealso: TSGetTrajectory(), TSAdjointSolve()
467 
468 .keywords: TS, set, checkpoint,
469 @*/
470 PetscErrorCode  TSSetSaveTrajectory(TS ts)
471 {
472   PetscErrorCode ierr;
473 
474   PetscFunctionBegin;
475   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
476   if (!ts->trajectory) {
477     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
478     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "TSComputeRHSJacobian"
485 /*@
486    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
487       set with TSSetRHSJacobian().
488 
489    Collective on TS and Vec
490 
491    Input Parameters:
492 +  ts - the TS context
493 .  t - current timestep
494 -  U - input vector
495 
496    Output Parameters:
497 +  A - Jacobian matrix
498 .  B - optional preconditioning matrix
499 -  flag - flag indicating matrix structure
500 
501    Notes:
502    Most users should not need to explicitly call this routine, as it
503    is used internally within the nonlinear solvers.
504 
505    See KSPSetOperators() for important information about setting the
506    flag parameter.
507 
508    Level: developer
509 
510 .keywords: SNES, compute, Jacobian, matrix
511 
512 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
513 @*/
514 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
515 {
516   PetscErrorCode ierr;
517   PetscObjectState Ustate;
518   DM             dm;
519   DMTS           tsdm;
520   TSRHSJacobian  rhsjacobianfunc;
521   void           *ctx;
522   TSIJacobian    ijacobianfunc;
523   TSRHSFunction  rhsfunction;
524 
525   PetscFunctionBegin;
526   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
527   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
528   PetscCheckSameComm(ts,1,U,3);
529   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
530   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
531   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
532   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
533   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
534   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
535   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
536     PetscFunctionReturn(0);
537   }
538 
539   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
540 
541   if (ts->rhsjacobian.reuse) {
542     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
543     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
544     if (A != B) {
545       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
546       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
547     }
548     ts->rhsjacobian.shift = 0;
549     ts->rhsjacobian.scale = 1.;
550   }
551 
552   if (rhsjacobianfunc) {
553     PetscBool missing;
554     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
555     PetscStackPush("TS user Jacobian function");
556     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
557     PetscStackPop;
558     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
559     if (A) {
560       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
561       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
562     }
563     if (B && B != A) {
564       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
565       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
566     }
567   } else {
568     ierr = MatZeroEntries(A);CHKERRQ(ierr);
569     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
570   }
571   ts->rhsjacobian.time       = t;
572   ts->rhsjacobian.X          = U;
573   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSComputeRHSFunction"
579 /*@
580    TSComputeRHSFunction - Evaluates the right-hand-side function.
581 
582    Collective on TS and Vec
583 
584    Input Parameters:
585 +  ts - the TS context
586 .  t - current time
587 -  U - state vector
588 
589    Output Parameter:
590 .  y - right hand side
591 
592    Note:
593    Most users should not need to explicitly call this routine, as it
594    is used internally within the nonlinear solvers.
595 
596    Level: developer
597 
598 .keywords: TS, compute
599 
600 .seealso: TSSetRHSFunction(), TSComputeIFunction()
601 @*/
602 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
603 {
604   PetscErrorCode ierr;
605   TSRHSFunction  rhsfunction;
606   TSIFunction    ifunction;
607   void           *ctx;
608   DM             dm;
609 
610   PetscFunctionBegin;
611   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
612   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
613   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
614   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
615   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
616   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
617 
618   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
619 
620   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
621   if (rhsfunction) {
622     PetscStackPush("TS user right-hand-side function");
623     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
624     PetscStackPop;
625   } else {
626     ierr = VecZeroEntries(y);CHKERRQ(ierr);
627   }
628 
629   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "TSComputeSolutionFunction"
635 /*@
636    TSComputeSolutionFunction - Evaluates the solution function.
637 
638    Collective on TS and Vec
639 
640    Input Parameters:
641 +  ts - the TS context
642 -  t - current time
643 
644    Output Parameter:
645 .  U - the solution
646 
647    Note:
648    Most users should not need to explicitly call this routine, as it
649    is used internally within the nonlinear solvers.
650 
651    Level: developer
652 
653 .keywords: TS, compute
654 
655 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
656 @*/
657 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
658 {
659   PetscErrorCode     ierr;
660   TSSolutionFunction solutionfunction;
661   void               *ctx;
662   DM                 dm;
663 
664   PetscFunctionBegin;
665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
666   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
669 
670   if (solutionfunction) {
671     PetscStackPush("TS user solution function");
672     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
673     PetscStackPop;
674   }
675   PetscFunctionReturn(0);
676 }
677 #undef __FUNCT__
678 #define __FUNCT__ "TSComputeForcingFunction"
679 /*@
680    TSComputeForcingFunction - Evaluates the forcing function.
681 
682    Collective on TS and Vec
683 
684    Input Parameters:
685 +  ts - the TS context
686 -  t - current time
687 
688    Output Parameter:
689 .  U - the function value
690 
691    Note:
692    Most users should not need to explicitly call this routine, as it
693    is used internally within the nonlinear solvers.
694 
695    Level: developer
696 
697 .keywords: TS, compute
698 
699 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
700 @*/
701 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
702 {
703   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
704   void               *ctx;
705   DM                 dm;
706 
707   PetscFunctionBegin;
708   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
709   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
710   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
711   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
712 
713   if (forcing) {
714     PetscStackPush("TS user forcing function");
715     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
716     PetscStackPop;
717   }
718   PetscFunctionReturn(0);
719 }
720 
721 #undef __FUNCT__
722 #define __FUNCT__ "TSGetRHSVec_Private"
723 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
724 {
725   Vec            F;
726   PetscErrorCode ierr;
727 
728   PetscFunctionBegin;
729   *Frhs = NULL;
730   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
731   if (!ts->Frhs) {
732     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
733   }
734   *Frhs = ts->Frhs;
735   PetscFunctionReturn(0);
736 }
737 
738 #undef __FUNCT__
739 #define __FUNCT__ "TSGetRHSMats_Private"
740 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
741 {
742   Mat            A,B;
743   PetscErrorCode ierr;
744 
745   PetscFunctionBegin;
746   if (Arhs) *Arhs = NULL;
747   if (Brhs) *Brhs = NULL;
748   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
749   if (Arhs) {
750     if (!ts->Arhs) {
751       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
752     }
753     *Arhs = ts->Arhs;
754   }
755   if (Brhs) {
756     if (!ts->Brhs) {
757       if (A != B) {
758         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
759       } else {
760         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
761         ts->Brhs = ts->Arhs;
762       }
763     }
764     *Brhs = ts->Brhs;
765   }
766   PetscFunctionReturn(0);
767 }
768 
769 #undef __FUNCT__
770 #define __FUNCT__ "TSComputeIFunction"
771 /*@
772    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
773 
774    Collective on TS and Vec
775 
776    Input Parameters:
777 +  ts - the TS context
778 .  t - current time
779 .  U - state vector
780 .  Udot - time derivative of state vector
781 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
782 
783    Output Parameter:
784 .  Y - right hand side
785 
786    Note:
787    Most users should not need to explicitly call this routine, as it
788    is used internally within the nonlinear solvers.
789 
790    If the user did did not write their equations in implicit form, this
791    function recasts them in implicit form.
792 
793    Level: developer
794 
795 .keywords: TS, compute
796 
797 .seealso: TSSetIFunction(), TSComputeRHSFunction()
798 @*/
799 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
800 {
801   PetscErrorCode ierr;
802   TSIFunction    ifunction;
803   TSRHSFunction  rhsfunction;
804   void           *ctx;
805   DM             dm;
806 
807   PetscFunctionBegin;
808   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
809   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
810   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
811   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
812 
813   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
814   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
815   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
816 
817   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
818 
819   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
820   if (ifunction) {
821     PetscStackPush("TS user implicit function");
822     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
823     PetscStackPop;
824   }
825   if (imex) {
826     if (!ifunction) {
827       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
828     }
829   } else if (rhsfunction) {
830     if (ifunction) {
831       Vec Frhs;
832       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
833       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
834       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
835     } else {
836       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
837       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
838     }
839   }
840   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
841   PetscFunctionReturn(0);
842 }
843 
844 #undef __FUNCT__
845 #define __FUNCT__ "TSComputeIJacobian"
846 /*@
847    TSComputeIJacobian - Evaluates the Jacobian of the DAE
848 
849    Collective on TS and Vec
850 
851    Input
852       Input Parameters:
853 +  ts - the TS context
854 .  t - current timestep
855 .  U - state vector
856 .  Udot - time derivative of state vector
857 .  shift - shift to apply, see note below
858 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
859 
860    Output Parameters:
861 +  A - Jacobian matrix
862 .  B - optional preconditioning matrix
863 -  flag - flag indicating matrix structure
864 
865    Notes:
866    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
867 
868    dF/dU + shift*dF/dUdot
869 
870    Most users should not need to explicitly call this routine, as it
871    is used internally within the nonlinear solvers.
872 
873    Level: developer
874 
875 .keywords: TS, compute, Jacobian, matrix
876 
877 .seealso:  TSSetIJacobian()
878 @*/
879 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
880 {
881   PetscErrorCode ierr;
882   TSIJacobian    ijacobian;
883   TSRHSJacobian  rhsjacobian;
884   DM             dm;
885   void           *ctx;
886 
887   PetscFunctionBegin;
888   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
889   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
890   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
891   PetscValidPointer(A,6);
892   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
893   PetscValidPointer(B,7);
894   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
895 
896   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
897   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
898   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
899 
900   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
901 
902   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
903   if (ijacobian) {
904     PetscBool missing;
905     PetscStackPush("TS user implicit Jacobian");
906     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
907     PetscStackPop;
908     if (A) {
909       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
910       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
911     }
912     if (B && B != A) {
913       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
914       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
915     }
916   }
917   if (imex) {
918     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
919       ierr = MatZeroEntries(A);CHKERRQ(ierr);
920       ierr = MatShift(A,shift);CHKERRQ(ierr);
921       if (A != B) {
922         ierr = MatZeroEntries(B);CHKERRQ(ierr);
923         ierr = MatShift(B,shift);CHKERRQ(ierr);
924       }
925     }
926   } else {
927     Mat Arhs = NULL,Brhs = NULL;
928     if (rhsjacobian) {
929       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
930       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
931     }
932     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
933       ts->rhsjacobian.scale = -1;
934       ts->rhsjacobian.shift = shift;
935       ierr = MatScale(A,-1);CHKERRQ(ierr);
936       ierr = MatShift(A,shift);CHKERRQ(ierr);
937       if (A != B) {
938         ierr = MatScale(B,-1);CHKERRQ(ierr);
939         ierr = MatShift(B,shift);CHKERRQ(ierr);
940       }
941     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
942       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
943       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
944         ierr = MatZeroEntries(A);CHKERRQ(ierr);
945         ierr = MatShift(A,shift);CHKERRQ(ierr);
946         if (A != B) {
947           ierr = MatZeroEntries(B);CHKERRQ(ierr);
948           ierr = MatShift(B,shift);CHKERRQ(ierr);
949         }
950       }
951       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
952       if (A != B) {
953         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
954       }
955     }
956   }
957   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 #undef __FUNCT__
962 #define __FUNCT__ "TSSetRHSFunction"
963 /*@C
964     TSSetRHSFunction - Sets the routine for evaluating the function,
965     where U_t = G(t,u).
966 
967     Logically Collective on TS
968 
969     Input Parameters:
970 +   ts - the TS context obtained from TSCreate()
971 .   r - vector to put the computed right hand side (or NULL to have it created)
972 .   f - routine for evaluating the right-hand-side function
973 -   ctx - [optional] user-defined context for private data for the
974           function evaluation routine (may be NULL)
975 
976     Calling sequence of func:
977 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
978 
979 +   t - current timestep
980 .   u - input vector
981 .   F - function vector
982 -   ctx - [optional] user-defined function context
983 
984     Level: beginner
985 
986     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
987 
988 .keywords: TS, timestep, set, right-hand-side, function
989 
990 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
991 @*/
992 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
993 {
994   PetscErrorCode ierr;
995   SNES           snes;
996   Vec            ralloc = NULL;
997   DM             dm;
998 
999   PetscFunctionBegin;
1000   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1001   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1002 
1003   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1004   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
1005   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1006   if (!r && !ts->dm && ts->vec_sol) {
1007     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1008     r = ralloc;
1009   }
1010   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1011   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1012   PetscFunctionReturn(0);
1013 }
1014 
1015 #undef __FUNCT__
1016 #define __FUNCT__ "TSSetSolutionFunction"
1017 /*@C
1018     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
1019 
1020     Logically Collective on TS
1021 
1022     Input Parameters:
1023 +   ts - the TS context obtained from TSCreate()
1024 .   f - routine for evaluating the solution
1025 -   ctx - [optional] user-defined context for private data for the
1026           function evaluation routine (may be NULL)
1027 
1028     Calling sequence of func:
1029 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1030 
1031 +   t - current timestep
1032 .   u - output vector
1033 -   ctx - [optional] user-defined function context
1034 
1035     Notes:
1036     This routine is used for testing accuracy of time integration schemes when you already know the solution.
1037     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
1038     create closed-form solutions with non-physical forcing terms.
1039 
1040     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1041 
1042     Level: beginner
1043 
1044 .keywords: TS, timestep, set, right-hand-side, function
1045 
1046 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
1047 @*/
1048 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1049 {
1050   PetscErrorCode ierr;
1051   DM             dm;
1052 
1053   PetscFunctionBegin;
1054   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1055   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1056   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
1057   PetscFunctionReturn(0);
1058 }
1059 
1060 #undef __FUNCT__
1061 #define __FUNCT__ "TSSetForcingFunction"
1062 /*@C
1063     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
1064 
1065     Logically Collective on TS
1066 
1067     Input Parameters:
1068 +   ts - the TS context obtained from TSCreate()
1069 .   f - routine for evaluating the forcing function
1070 -   ctx - [optional] user-defined context for private data for the
1071           function evaluation routine (may be NULL)
1072 
1073     Calling sequence of func:
1074 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1075 
1076 +   t - current timestep
1077 .   u - output vector
1078 -   ctx - [optional] user-defined function context
1079 
1080     Notes:
1081     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
1082     create closed-form solutions with a non-physical forcing term.
1083 
1084     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1085 
1086     Level: beginner
1087 
1088 .keywords: TS, timestep, set, right-hand-side, function
1089 
1090 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1091 @*/
1092 PetscErrorCode  TSSetForcingFunction(TS ts,TSForcingFunction f,void *ctx)
1093 {
1094   PetscErrorCode ierr;
1095   DM             dm;
1096 
1097   PetscFunctionBegin;
1098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1099   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1100   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 #undef __FUNCT__
1105 #define __FUNCT__ "TSSetRHSJacobian"
1106 /*@C
1107    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1108    where U_t = G(U,t), as well as the location to store the matrix.
1109 
1110    Logically Collective on TS
1111 
1112    Input Parameters:
1113 +  ts  - the TS context obtained from TSCreate()
1114 .  Amat - (approximate) Jacobian matrix
1115 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1116 .  f   - the Jacobian evaluation routine
1117 -  ctx - [optional] user-defined context for private data for the
1118          Jacobian evaluation routine (may be NULL)
1119 
1120    Calling sequence of f:
1121 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1122 
1123 +  t - current timestep
1124 .  u - input vector
1125 .  Amat - (approximate) Jacobian matrix
1126 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1127 -  ctx - [optional] user-defined context for matrix evaluation routine
1128 
1129    Notes:
1130    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1131 
1132    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1133    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1134 
1135    Level: beginner
1136 
1137 .keywords: TS, timestep, set, right-hand-side, Jacobian
1138 
1139 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1140 
1141 @*/
1142 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1143 {
1144   PetscErrorCode ierr;
1145   SNES           snes;
1146   DM             dm;
1147   TSIJacobian    ijacobian;
1148 
1149   PetscFunctionBegin;
1150   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1151   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1152   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1153   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1154   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1155 
1156   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1157   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1158   if (f == TSComputeRHSJacobianConstant) {
1159     /* Handle this case automatically for the user; otherwise user should call themselves. */
1160     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1161   }
1162   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1163   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1164   if (!ijacobian) {
1165     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1166   }
1167   if (Amat) {
1168     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1169     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1170     ts->Arhs = Amat;
1171   }
1172   if (Pmat) {
1173     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1174     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1175     ts->Brhs = Pmat;
1176   }
1177   PetscFunctionReturn(0);
1178 }
1179 
1180 
1181 #undef __FUNCT__
1182 #define __FUNCT__ "TSSetIFunction"
1183 /*@C
1184    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1185 
1186    Logically Collective on TS
1187 
1188    Input Parameters:
1189 +  ts  - the TS context obtained from TSCreate()
1190 .  r   - vector to hold the residual (or NULL to have it created internally)
1191 .  f   - the function evaluation routine
1192 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1193 
1194    Calling sequence of f:
1195 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1196 
1197 +  t   - time at step/stage being solved
1198 .  u   - state vector
1199 .  u_t - time derivative of state vector
1200 .  F   - function vector
1201 -  ctx - [optional] user-defined context for matrix evaluation routine
1202 
1203    Important:
1204    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1205 
1206    Level: beginner
1207 
1208 .keywords: TS, timestep, set, DAE, Jacobian
1209 
1210 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1211 @*/
1212 PetscErrorCode  TSSetIFunction(TS ts,Vec r,TSIFunction f,void *ctx)
1213 {
1214   PetscErrorCode ierr;
1215   SNES           snes;
1216   Vec            ralloc = NULL;
1217   DM             dm;
1218 
1219   PetscFunctionBegin;
1220   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1221   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1222 
1223   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1224   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1225 
1226   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1227   if (!r && !ts->dm && ts->vec_sol) {
1228     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1229     r  = ralloc;
1230   }
1231   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1232   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 #undef __FUNCT__
1237 #define __FUNCT__ "TSGetIFunction"
1238 /*@C
1239    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1240 
1241    Not Collective
1242 
1243    Input Parameter:
1244 .  ts - the TS context
1245 
1246    Output Parameter:
1247 +  r - vector to hold residual (or NULL)
1248 .  func - the function to compute residual (or NULL)
1249 -  ctx - the function context (or NULL)
1250 
1251    Level: advanced
1252 
1253 .keywords: TS, nonlinear, get, function
1254 
1255 .seealso: TSSetIFunction(), SNESGetFunction()
1256 @*/
1257 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1258 {
1259   PetscErrorCode ierr;
1260   SNES           snes;
1261   DM             dm;
1262 
1263   PetscFunctionBegin;
1264   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1265   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1266   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1267   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1268   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "TSGetRHSFunction"
1274 /*@C
1275    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1276 
1277    Not Collective
1278 
1279    Input Parameter:
1280 .  ts - the TS context
1281 
1282    Output Parameter:
1283 +  r - vector to hold computed right hand side (or NULL)
1284 .  func - the function to compute right hand side (or NULL)
1285 -  ctx - the function context (or NULL)
1286 
1287    Level: advanced
1288 
1289 .keywords: TS, nonlinear, get, function
1290 
1291 .seealso: TSSetRHSFunction(), SNESGetFunction()
1292 @*/
1293 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1294 {
1295   PetscErrorCode ierr;
1296   SNES           snes;
1297   DM             dm;
1298 
1299   PetscFunctionBegin;
1300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1301   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1302   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1303   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1304   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1305   PetscFunctionReturn(0);
1306 }
1307 
1308 #undef __FUNCT__
1309 #define __FUNCT__ "TSSetIJacobian"
1310 /*@C
1311    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1312         provided with TSSetIFunction().
1313 
1314    Logically Collective on TS
1315 
1316    Input Parameters:
1317 +  ts  - the TS context obtained from TSCreate()
1318 .  Amat - (approximate) Jacobian matrix
1319 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1320 .  f   - the Jacobian evaluation routine
1321 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1322 
1323    Calling sequence of f:
1324 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1325 
1326 +  t    - time at step/stage being solved
1327 .  U    - state vector
1328 .  U_t  - time derivative of state vector
1329 .  a    - shift
1330 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1331 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1332 -  ctx  - [optional] user-defined context for matrix evaluation routine
1333 
1334    Notes:
1335    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1336 
1337    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1338    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1339 
1340    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1341    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1342    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1343    a and vector W depend on the integration method, step size, and past states. For example with
1344    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1345    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1346 
1347    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1348 
1349    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1350    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1351 
1352    Level: beginner
1353 
1354 .keywords: TS, timestep, DAE, Jacobian
1355 
1356 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1357 
1358 @*/
1359 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1360 {
1361   PetscErrorCode ierr;
1362   SNES           snes;
1363   DM             dm;
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1367   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1368   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1369   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1370   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1371 
1372   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1373   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1374 
1375   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1376   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #undef __FUNCT__
1381 #define __FUNCT__ "TSRHSJacobianSetReuse"
1382 /*@
1383    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1384    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1385    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1386    not been changed by the TS.
1387 
1388    Logically Collective
1389 
1390    Input Arguments:
1391 +  ts - TS context obtained from TSCreate()
1392 -  reuse - PETSC_TRUE if the RHS Jacobian
1393 
1394    Level: intermediate
1395 
1396 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1397 @*/
1398 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1399 {
1400   PetscFunctionBegin;
1401   ts->rhsjacobian.reuse = reuse;
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "TSSetI2Function"
1407 /*@C
1408    TSSetI2Function - Set the function to compute F(t,U,U_t,U_tt) where F = 0 is the DAE to be solved.
1409 
1410    Logically Collective on TS
1411 
1412    Input Parameters:
1413 +  ts  - the TS context obtained from TSCreate()
1414 .  F   - vector to hold the residual (or NULL to have it created internally)
1415 .  fun - the function evaluation routine
1416 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1417 
1418    Calling sequence of fun:
1419 $  fun(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,Vec F,ctx);
1420 
1421 +  t    - time at step/stage being solved
1422 .  U    - state vector
1423 .  U_t  - time derivative of state vector
1424 .  U_tt - second time derivative of state vector
1425 .  F    - function vector
1426 -  ctx  - [optional] user-defined context for matrix evaluation routine (may be NULL)
1427 
1428    Level: beginner
1429 
1430 .keywords: TS, timestep, set, ODE, DAE, Function
1431 
1432 .seealso: TSSetI2Jacobian()
1433 @*/
1434 PetscErrorCode TSSetI2Function(TS ts,Vec F,TSI2Function fun,void *ctx)
1435 {
1436   DM             dm;
1437   PetscErrorCode ierr;
1438 
1439   PetscFunctionBegin;
1440   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1441   if (F) PetscValidHeaderSpecific(F,VEC_CLASSID,2);
1442   ierr = TSSetIFunction(ts,F,NULL,NULL);CHKERRQ(ierr);
1443   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1444   ierr = DMTSSetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1445   PetscFunctionReturn(0);
1446 }
1447 
1448 #undef __FUNCT__
1449 #define __FUNCT__ "TSGetI2Function"
1450 /*@C
1451   TSGetI2Function - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1452 
1453   Not Collective
1454 
1455   Input Parameter:
1456 . ts - the TS context
1457 
1458   Output Parameter:
1459 + r - vector to hold residual (or NULL)
1460 . fun - the function to compute residual (or NULL)
1461 - ctx - the function context (or NULL)
1462 
1463   Level: advanced
1464 
1465 .keywords: TS, nonlinear, get, function
1466 
1467 .seealso: TSSetI2Function(), SNESGetFunction()
1468 @*/
1469 PetscErrorCode TSGetI2Function(TS ts,Vec *r,TSI2Function *fun,void **ctx)
1470 {
1471   PetscErrorCode ierr;
1472   SNES           snes;
1473   DM             dm;
1474 
1475   PetscFunctionBegin;
1476   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1477   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1478   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1479   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1480   ierr = DMTSGetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1481   PetscFunctionReturn(0);
1482 }
1483 
1484 #undef __FUNCT__
1485 #define __FUNCT__ "TSSetI2Jacobian"
1486 /*@C
1487    TSSetI2Jacobian - Set the function to compute the matrix dF/dU + v*dF/dU_t  + a*dF/dU_tt
1488         where F(t,U,U_t,U_tt) is the function you provided with TSSetI2Function().
1489 
1490    Logically Collective on TS
1491 
1492    Input Parameters:
1493 +  ts  - the TS context obtained from TSCreate()
1494 .  J   - Jacobian matrix
1495 .  P   - preconditioning matrix for J (may be same as J)
1496 .  jac - the Jacobian evaluation routine
1497 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1498 
1499    Calling sequence of jac:
1500 $  jac(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,PetscReal v,PetscReal a,Mat J,Mat P,void *ctx);
1501 
1502 +  t    - time at step/stage being solved
1503 .  U    - state vector
1504 .  U_t  - time derivative of state vector
1505 .  U_tt - second time derivative of state vector
1506 .  v    - shift for U_t
1507 .  a    - shift for U_tt
1508 .  J    - Jacobian of G(U) = F(t,U,W+v*U,W'+a*U), equivalent to dF/dU + v*dF/dU_t  + a*dF/dU_tt
1509 .  P    - preconditioning matrix for J, may be same as J
1510 -  ctx  - [optional] user-defined context for matrix evaluation routine
1511 
1512    Notes:
1513    The matrices J and P are exactly the matrices that are used by SNES for the nonlinear solve.
1514 
1515    The matrix dF/dU + v*dF/dU_t + a*dF/dU_tt you provide turns out to be
1516    the Jacobian of G(U) = F(t,U,W+v*U,W'+a*U) where F(t,U,U_t,U_tt) = 0 is the DAE to be solved.
1517    The time integrator internally approximates U_t by W+v*U and U_tt by W'+a*U  where the positive "shift"
1518    parameters 'v' and 'a' and vectors W, W' depend on the integration method, step size, and past states.
1519 
1520    Level: beginner
1521 
1522 .keywords: TS, timestep, set, ODE, DAE, Jacobian
1523 
1524 .seealso: TSSetI2Function()
1525 @*/
1526 PetscErrorCode TSSetI2Jacobian(TS ts,Mat J,Mat P,TSI2Jacobian jac,void *ctx)
1527 {
1528   DM             dm;
1529   PetscErrorCode ierr;
1530 
1531   PetscFunctionBegin;
1532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1533   if (J) PetscValidHeaderSpecific(J,MAT_CLASSID,2);
1534   if (P) PetscValidHeaderSpecific(P,MAT_CLASSID,3);
1535   ierr = TSSetIJacobian(ts,J,P,NULL,NULL);CHKERRQ(ierr);
1536   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1537   ierr = DMTSSetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1538   PetscFunctionReturn(0);
1539 }
1540 
1541 #undef __FUNCT__
1542 #define __FUNCT__ "TSGetI2Jacobian"
1543 /*@C
1544   TSGetI2Jacobian - Returns the implicit Jacobian at the present timestep.
1545 
1546   Not Collective, but parallel objects are returned if TS is parallel
1547 
1548   Input Parameter:
1549 . ts  - The TS context obtained from TSCreate()
1550 
1551   Output Parameters:
1552 + J  - The (approximate) Jacobian of F(t,U,U_t,U_tt)
1553 . P - The matrix from which the preconditioner is constructed, often the same as J
1554 . jac - The function to compute the Jacobian matrices
1555 - ctx - User-defined context for Jacobian evaluation routine
1556 
1557   Notes: You can pass in NULL for any return argument you do not need.
1558 
1559   Level: advanced
1560 
1561 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
1562 
1563 .keywords: TS, timestep, get, matrix, Jacobian
1564 @*/
1565 PetscErrorCode  TSGetI2Jacobian(TS ts,Mat *J,Mat *P,TSI2Jacobian *jac,void **ctx)
1566 {
1567   PetscErrorCode ierr;
1568   SNES           snes;
1569   DM             dm;
1570 
1571   PetscFunctionBegin;
1572   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1573   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
1574   ierr = SNESGetJacobian(snes,J,P,NULL,NULL);CHKERRQ(ierr);
1575   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1576   ierr = DMTSGetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1577   PetscFunctionReturn(0);
1578 }
1579 
1580 #undef __FUNCT__
1581 #define __FUNCT__ "TSComputeI2Function"
1582 /*@
1583   TSComputeI2Function - Evaluates the DAE residual written in implicit form F(t,U,U_t,U_tt) = 0
1584 
1585   Collective on TS and Vec
1586 
1587   Input Parameters:
1588 + ts - the TS context
1589 . t - current time
1590 . U - state vector
1591 . V - time derivative of state vector (U_t)
1592 - A - second time derivative of state vector (U_tt)
1593 
1594   Output Parameter:
1595 . F - the residual vector
1596 
1597   Note:
1598   Most users should not need to explicitly call this routine, as it
1599   is used internally within the nonlinear solvers.
1600 
1601   Level: developer
1602 
1603 .keywords: TS, compute, function, vector
1604 
1605 .seealso: TSSetI2Function()
1606 @*/
1607 PetscErrorCode TSComputeI2Function(TS ts,PetscReal t,Vec U,Vec V,Vec A,Vec F)
1608 {
1609   DM             dm;
1610   TSI2Function   I2Function;
1611   void           *ctx;
1612   TSRHSFunction  rhsfunction;
1613   PetscErrorCode ierr;
1614 
1615   PetscFunctionBegin;
1616   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1617   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1618   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1619   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1620   PetscValidHeaderSpecific(F,VEC_CLASSID,6);
1621 
1622   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1623   ierr = DMTSGetI2Function(dm,&I2Function,&ctx);CHKERRQ(ierr);
1624   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
1625 
1626   if (!I2Function) {
1627     ierr = TSComputeIFunction(ts,t,U,A,F,PETSC_FALSE);CHKERRQ(ierr);
1628     PetscFunctionReturn(0);
1629   }
1630 
1631   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1632 
1633   PetscStackPush("TS user implicit function");
1634   ierr = I2Function(ts,t,U,V,A,F,ctx);CHKERRQ(ierr);
1635   PetscStackPop;
1636 
1637   if (rhsfunction) {
1638     Vec Frhs;
1639     ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
1640     ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
1641     ierr = VecAXPY(F,-1,Frhs);CHKERRQ(ierr);
1642   }
1643 
1644   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1645   PetscFunctionReturn(0);
1646 }
1647 
1648 #undef __FUNCT__
1649 #define __FUNCT__ "TSComputeI2Jacobian"
1650 /*@
1651   TSComputeI2Jacobian - Evaluates the Jacobian of the DAE
1652 
1653   Collective on TS and Vec
1654 
1655   Input Parameters:
1656 + ts - the TS context
1657 . t - current timestep
1658 . U - state vector
1659 . V - time derivative of state vector
1660 . A - second time derivative of state vector
1661 . shiftV - shift to apply, see note below
1662 - shiftA - shift to apply, see note below
1663 
1664   Output Parameters:
1665 + J - Jacobian matrix
1666 - P - optional preconditioning matrix
1667 
1668   Notes:
1669   If F(t,U,V,A)=0 is the DAE, the required Jacobian is
1670 
1671   dF/dU + shiftV*dF/dV + shiftA*dF/dA
1672 
1673   Most users should not need to explicitly call this routine, as it
1674   is used internally within the nonlinear solvers.
1675 
1676   Level: developer
1677 
1678 .keywords: TS, compute, Jacobian, matrix
1679 
1680 .seealso:  TSSetI2Jacobian()
1681 @*/
1682 PetscErrorCode TSComputeI2Jacobian(TS ts,PetscReal t,Vec U,Vec V,Vec A,PetscReal shiftV,PetscReal shiftA,Mat J,Mat P)
1683 {
1684   DM             dm;
1685   TSI2Jacobian   I2Jacobian;
1686   void           *ctx;
1687   TSRHSJacobian  rhsjacobian;
1688   PetscErrorCode ierr;
1689 
1690   PetscFunctionBegin;
1691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1692   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1693   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1694   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1695   PetscValidHeaderSpecific(J,MAT_CLASSID,8);
1696   PetscValidHeaderSpecific(P,MAT_CLASSID,9);
1697 
1698   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1699   ierr = DMTSGetI2Jacobian(dm,&I2Jacobian,&ctx);CHKERRQ(ierr);
1700   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
1701 
1702   if (!I2Jacobian) {
1703     ierr = TSComputeIJacobian(ts,t,U,A,shiftA,J,P,PETSC_FALSE);CHKERRQ(ierr);
1704     PetscFunctionReturn(0);
1705   }
1706 
1707   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1708 
1709   PetscStackPush("TS user implicit Jacobian");
1710   ierr = I2Jacobian(ts,t,U,V,A,shiftV,shiftA,J,P,ctx);CHKERRQ(ierr);
1711   PetscStackPop;
1712 
1713   if (rhsjacobian) {
1714     Mat Jrhs,Prhs; MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
1715     ierr = TSGetRHSMats_Private(ts,&Jrhs,&Prhs);CHKERRQ(ierr);
1716     ierr = TSComputeRHSJacobian(ts,t,U,Jrhs,Prhs);CHKERRQ(ierr);
1717     ierr = MatAXPY(J,-1,Jrhs,axpy);CHKERRQ(ierr);
1718     if (P != J) {ierr = MatAXPY(P,-1,Prhs,axpy);CHKERRQ(ierr);}
1719   }
1720 
1721   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1722   PetscFunctionReturn(0);
1723 }
1724 
1725 #undef __FUNCT__
1726 #define __FUNCT__ "TS2SetSolution"
1727 /*@
1728    TS2SetSolution - Sets the initial solution and time derivative vectors
1729    for use by the TS routines handling second order equations.
1730 
1731    Logically Collective on TS and Vec
1732 
1733    Input Parameters:
1734 +  ts - the TS context obtained from TSCreate()
1735 .  u - the solution vector
1736 -  v - the time derivative vector
1737 
1738    Level: beginner
1739 
1740 .keywords: TS, timestep, set, solution, initial conditions
1741 @*/
1742 PetscErrorCode  TS2SetSolution(TS ts,Vec u,Vec v)
1743 {
1744   PetscErrorCode ierr;
1745 
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1748   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
1749   PetscValidHeaderSpecific(v,VEC_CLASSID,3);
1750   ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
1751   ierr = PetscObjectReference((PetscObject)v);CHKERRQ(ierr);
1752   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
1753   ts->vec_dot = v;
1754   PetscFunctionReturn(0);
1755 }
1756 
1757 #undef __FUNCT__
1758 #define __FUNCT__ "TS2GetSolution"
1759 /*@
1760    TS2GetSolution - Returns the solution and time derivative at the present timestep
1761    for second order equations. It is valid to call this routine inside the function
1762    that you are evaluating in order to move to the new timestep. This vector not
1763    changed until the solution at the next timestep has been calculated.
1764 
1765    Not Collective, but Vec returned is parallel if TS is parallel
1766 
1767    Input Parameter:
1768 .  ts - the TS context obtained from TSCreate()
1769 
1770    Output Parameter:
1771 +  u - the vector containing the solution
1772 -  v - the vector containing the time derivative
1773 
1774    Level: intermediate
1775 
1776 .seealso: TS2SetSolution(), TSGetTimeStep(), TSGetTime()
1777 
1778 .keywords: TS, timestep, get, solution
1779 @*/
1780 PetscErrorCode  TS2GetSolution(TS ts,Vec *u,Vec *v)
1781 {
1782   PetscFunctionBegin;
1783   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1784   if (u) PetscValidPointer(u,2);
1785   if (v) PetscValidPointer(v,3);
1786   if (u) *u = ts->vec_sol;
1787   if (v) *v = ts->vec_dot;
1788   PetscFunctionReturn(0);
1789 }
1790 
1791 #undef __FUNCT__
1792 #define __FUNCT__ "TSLoad"
1793 /*@C
1794   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1795 
1796   Collective on PetscViewer
1797 
1798   Input Parameters:
1799 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1800            some related function before a call to TSLoad().
1801 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1802 
1803    Level: intermediate
1804 
1805   Notes:
1806    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1807 
1808   Notes for advanced users:
1809   Most users should not need to know the details of the binary storage
1810   format, since TSLoad() and TSView() completely hide these details.
1811   But for anyone who's interested, the standard binary matrix storage
1812   format is
1813 .vb
1814      has not yet been determined
1815 .ve
1816 
1817 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1818 @*/
1819 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1820 {
1821   PetscErrorCode ierr;
1822   PetscBool      isbinary;
1823   PetscInt       classid;
1824   char           type[256];
1825   DMTS           sdm;
1826   DM             dm;
1827 
1828   PetscFunctionBegin;
1829   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1830   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1831   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1832   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1833 
1834   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1835   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1836   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1837   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1838   if (ts->ops->load) {
1839     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1840   }
1841   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1842   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1843   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1844   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1845   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1846   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1847   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1848   PetscFunctionReturn(0);
1849 }
1850 
1851 #include <petscdraw.h>
1852 #if defined(PETSC_HAVE_SAWS)
1853 #include <petscviewersaws.h>
1854 #endif
1855 #undef __FUNCT__
1856 #define __FUNCT__ "TSView"
1857 /*@C
1858     TSView - Prints the TS data structure.
1859 
1860     Collective on TS
1861 
1862     Input Parameters:
1863 +   ts - the TS context obtained from TSCreate()
1864 -   viewer - visualization context
1865 
1866     Options Database Key:
1867 .   -ts_view - calls TSView() at end of TSStep()
1868 
1869     Notes:
1870     The available visualization contexts include
1871 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1872 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1873          output where only the first processor opens
1874          the file.  All other processors send their
1875          data to the first processor to print.
1876 
1877     The user can open an alternative visualization context with
1878     PetscViewerASCIIOpen() - output to a specified file.
1879 
1880     Level: beginner
1881 
1882 .keywords: TS, timestep, view
1883 
1884 .seealso: PetscViewerASCIIOpen()
1885 @*/
1886 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1887 {
1888   PetscErrorCode ierr;
1889   TSType         type;
1890   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1891   DMTS           sdm;
1892 #if defined(PETSC_HAVE_SAWS)
1893   PetscBool      issaws;
1894 #endif
1895 
1896   PetscFunctionBegin;
1897   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1898   if (!viewer) {
1899     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1900   }
1901   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1902   PetscCheckSameComm(ts,1,viewer,2);
1903 
1904   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1905   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1906   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1907   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1908 #if defined(PETSC_HAVE_SAWS)
1909   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1910 #endif
1911   if (iascii) {
1912     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1913     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1914     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1915     if (ts->problem_type == TS_NONLINEAR) {
1916       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1917       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1918     }
1919     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1920     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1921     if (ts->vrtol) {
1922       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of relative error tolerances, ");CHKERRQ(ierr);
1923     } else {
1924       ierr = PetscViewerASCIIPrintf(viewer,"  using relative error tolerance of %g, ",(double)ts->rtol);CHKERRQ(ierr);
1925     }
1926     if (ts->vatol) {
1927       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of absolute error tolerances\n");CHKERRQ(ierr);
1928     } else {
1929       ierr = PetscViewerASCIIPrintf(viewer,"  using absolute error tolerance of %g\n",(double)ts->atol);CHKERRQ(ierr);
1930     }
1931     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1932     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1933     if (ts->ops->view) {
1934       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1935       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1936       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1937     }
1938   } else if (isstring) {
1939     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1940     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1941   } else if (isbinary) {
1942     PetscInt    classid = TS_FILE_CLASSID;
1943     MPI_Comm    comm;
1944     PetscMPIInt rank;
1945     char        type[256];
1946 
1947     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1948     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1949     if (!rank) {
1950       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1951       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1952       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1953     }
1954     if (ts->ops->view) {
1955       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1956     }
1957     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1958     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1959     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1960     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1961   } else if (isdraw) {
1962     PetscDraw draw;
1963     char      str[36];
1964     PetscReal x,y,bottom,h;
1965 
1966     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1967     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1968     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1969     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1970     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1971     bottom = y - h;
1972     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1973     if (ts->ops->view) {
1974       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1975     }
1976     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1977 #if defined(PETSC_HAVE_SAWS)
1978   } else if (issaws) {
1979     PetscMPIInt rank;
1980     const char  *name;
1981 
1982     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1983     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1984     if (!((PetscObject)ts)->amsmem && !rank) {
1985       char       dir[1024];
1986 
1987       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1988       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1989       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1990       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1991       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1992     }
1993     if (ts->ops->view) {
1994       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1995     }
1996 #endif
1997   }
1998 
1999   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
2000   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
2001   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
2002   PetscFunctionReturn(0);
2003 }
2004 
2005 
2006 #undef __FUNCT__
2007 #define __FUNCT__ "TSSetApplicationContext"
2008 /*@
2009    TSSetApplicationContext - Sets an optional user-defined context for
2010    the timesteppers.
2011 
2012    Logically Collective on TS
2013 
2014    Input Parameters:
2015 +  ts - the TS context obtained from TSCreate()
2016 -  usrP - optional user context
2017 
2018    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2019     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2020 
2021    Level: intermediate
2022 
2023 .keywords: TS, timestep, set, application, context
2024 
2025 .seealso: TSGetApplicationContext()
2026 @*/
2027 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
2028 {
2029   PetscFunctionBegin;
2030   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2031   ts->user = usrP;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "TSGetApplicationContext"
2037 /*@
2038     TSGetApplicationContext - Gets the user-defined context for the
2039     timestepper.
2040 
2041     Not Collective
2042 
2043     Input Parameter:
2044 .   ts - the TS context obtained from TSCreate()
2045 
2046     Output Parameter:
2047 .   usrP - user context
2048 
2049    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2050     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2051 
2052     Level: intermediate
2053 
2054 .keywords: TS, timestep, get, application, context
2055 
2056 .seealso: TSSetApplicationContext()
2057 @*/
2058 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
2059 {
2060   PetscFunctionBegin;
2061   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2062   *(void**)usrP = ts->user;
2063   PetscFunctionReturn(0);
2064 }
2065 
2066 #undef __FUNCT__
2067 #define __FUNCT__ "TSGetTimeStepNumber"
2068 /*@
2069    TSGetTimeStepNumber - Gets the number of time steps completed.
2070 
2071    Not Collective
2072 
2073    Input Parameter:
2074 .  ts - the TS context obtained from TSCreate()
2075 
2076    Output Parameter:
2077 .  iter - number of steps completed so far
2078 
2079    Level: intermediate
2080 
2081 .keywords: TS, timestep, get, iteration, number
2082 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
2083 @*/
2084 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
2085 {
2086   PetscFunctionBegin;
2087   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2088   PetscValidIntPointer(iter,2);
2089   *iter = ts->steps;
2090   PetscFunctionReturn(0);
2091 }
2092 
2093 #undef __FUNCT__
2094 #define __FUNCT__ "TSSetInitialTimeStep"
2095 /*@
2096    TSSetInitialTimeStep - Sets the initial timestep to be used,
2097    as well as the initial time.
2098 
2099    Logically Collective on TS
2100 
2101    Input Parameters:
2102 +  ts - the TS context obtained from TSCreate()
2103 .  initial_time - the initial time
2104 -  time_step - the size of the timestep
2105 
2106    Level: intermediate
2107 
2108 .seealso: TSSetTimeStep(), TSGetTimeStep()
2109 
2110 .keywords: TS, set, initial, timestep
2111 @*/
2112 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
2113 {
2114   PetscErrorCode ierr;
2115 
2116   PetscFunctionBegin;
2117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2118   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
2119   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
2120   PetscFunctionReturn(0);
2121 }
2122 
2123 #undef __FUNCT__
2124 #define __FUNCT__ "TSSetTimeStep"
2125 /*@
2126    TSSetTimeStep - Allows one to reset the timestep at any time,
2127    useful for simple pseudo-timestepping codes.
2128 
2129    Logically Collective on TS
2130 
2131    Input Parameters:
2132 +  ts - the TS context obtained from TSCreate()
2133 -  time_step - the size of the timestep
2134 
2135    Level: intermediate
2136 
2137 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2138 
2139 .keywords: TS, set, timestep
2140 @*/
2141 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
2142 {
2143   PetscFunctionBegin;
2144   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2145   PetscValidLogicalCollectiveReal(ts,time_step,2);
2146   ts->time_step = time_step;
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "TSSetExactFinalTime"
2152 /*@
2153    TSSetExactFinalTime - Determines whether to adapt the final time step to
2154      match the exact final time, interpolate solution to the exact final time,
2155      or just return at the final time TS computed.
2156 
2157   Logically Collective on TS
2158 
2159    Input Parameter:
2160 +   ts - the time-step context
2161 -   eftopt - exact final time option
2162 
2163 $  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
2164 $  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
2165 $  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time
2166 
2167    Options Database:
2168 .   -ts_exact_final_time <stepover,interpolate,matchstep> - select the final step at runtime
2169 
2170    Warning: If you use the option TS_EXACTFINALTIME_STEPOVER the solution may be at a very different time
2171     then the final time you selected.
2172 
2173    Level: beginner
2174 
2175 .seealso: TSExactFinalTimeOption
2176 @*/
2177 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
2178 {
2179   PetscFunctionBegin;
2180   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2181   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
2182   ts->exact_final_time = eftopt;
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 #undef __FUNCT__
2187 #define __FUNCT__ "TSGetTimeStep"
2188 /*@
2189    TSGetTimeStep - Gets the current timestep size.
2190 
2191    Not Collective
2192 
2193    Input Parameter:
2194 .  ts - the TS context obtained from TSCreate()
2195 
2196    Output Parameter:
2197 .  dt - the current timestep size
2198 
2199    Level: intermediate
2200 
2201 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2202 
2203 .keywords: TS, get, timestep
2204 @*/
2205 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
2206 {
2207   PetscFunctionBegin;
2208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2209   PetscValidRealPointer(dt,2);
2210   *dt = ts->time_step;
2211   PetscFunctionReturn(0);
2212 }
2213 
2214 #undef __FUNCT__
2215 #define __FUNCT__ "TSGetSolution"
2216 /*@
2217    TSGetSolution - Returns the solution at the present timestep. It
2218    is valid to call this routine inside the function that you are evaluating
2219    in order to move to the new timestep. This vector not changed until
2220    the solution at the next timestep has been calculated.
2221 
2222    Not Collective, but Vec returned is parallel if TS is parallel
2223 
2224    Input Parameter:
2225 .  ts - the TS context obtained from TSCreate()
2226 
2227    Output Parameter:
2228 .  v - the vector containing the solution
2229 
2230    Note: If you used TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP); this does not return the solution at the requested
2231    final time. It returns the solution at the next timestep.
2232 
2233    Level: intermediate
2234 
2235 .seealso: TSGetTimeStep(), TSGetTime(), TSGetSolveTime(), TSGetAuxSolution()
2236 
2237 .keywords: TS, timestep, get, solution
2238 @*/
2239 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
2240 {
2241   PetscFunctionBegin;
2242   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2243   PetscValidPointer(v,2);
2244   *v = ts->vec_sol;
2245   PetscFunctionReturn(0);
2246 }
2247 
2248 #undef __FUNCT__
2249 #define __FUNCT__ "TSGetAuxSolution"
2250 /*@
2251    TSGetAuxSolution - Returns any auxiliary solutions at the present
2252    timestep, if available for the time integration method being used.
2253    Auxiliary solutions are quantities that share the same size and
2254    structure as the solution vector.
2255 
2256    Not Collective, but Vec returned is parallel if TS is parallel
2257 
2258    Parameters :
2259 .  ts - the TS context obtained from TSCreate() (input parameter).
2260 .  n - If v is PETSC_NULL, then the number of auxiliary solutions is
2261        returned through n, else the n-th auxiliary solution is
2262        returned in v.
2263 .  v - the vector containing the n-th auxiliary solution
2264        (may be PETSC_NULL to use this function to find out
2265         the number of auxiliary solutions).
2266 
2267    Level: intermediate
2268 
2269 .seealso: TSGetSolution()
2270 
2271 .keywords: TS, timestep, get, solution
2272 @*/
2273 PetscErrorCode  TSGetAuxSolution(TS ts,PetscInt *n,Vec *v)
2274 {
2275   PetscErrorCode ierr;
2276 
2277   PetscFunctionBegin;
2278   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2279   if (!ts->ops->getauxsolution) *n = 0;
2280   else {
2281     ierr = (*ts->ops->getauxsolution)(ts,n,v);CHKERRQ(ierr);
2282   }
2283   PetscFunctionReturn(0);
2284 }
2285 
2286 #undef __FUNCT__
2287 #define __FUNCT__ "TSGetCostGradients"
2288 /*@
2289    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
2290 
2291    Not Collective, but Vec returned is parallel if TS is parallel
2292 
2293    Input Parameter:
2294 .  ts - the TS context obtained from TSCreate()
2295 
2296    Output Parameter:
2297 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
2298 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
2299 
2300    Level: intermediate
2301 
2302 .seealso: TSGetTimeStep()
2303 
2304 .keywords: TS, timestep, get, sensitivity
2305 @*/
2306 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
2307 {
2308   PetscFunctionBegin;
2309   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2310   if (numcost) *numcost = ts->numcost;
2311   if (lambda)  *lambda  = ts->vecs_sensi;
2312   if (mu)      *mu      = ts->vecs_sensip;
2313   PetscFunctionReturn(0);
2314 }
2315 
2316 /* ----- Routines to initialize and destroy a timestepper ---- */
2317 #undef __FUNCT__
2318 #define __FUNCT__ "TSSetProblemType"
2319 /*@
2320   TSSetProblemType - Sets the type of problem to be solved.
2321 
2322   Not collective
2323 
2324   Input Parameters:
2325 + ts   - The TS
2326 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2327 .vb
2328          U_t - A U = 0      (linear)
2329          U_t - A(t) U = 0   (linear)
2330          F(t,U,U_t) = 0     (nonlinear)
2331 .ve
2332 
2333    Level: beginner
2334 
2335 .keywords: TS, problem type
2336 .seealso: TSSetUp(), TSProblemType, TS
2337 @*/
2338 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
2339 {
2340   PetscErrorCode ierr;
2341 
2342   PetscFunctionBegin;
2343   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2344   ts->problem_type = type;
2345   if (type == TS_LINEAR) {
2346     SNES snes;
2347     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2348     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
2349   }
2350   PetscFunctionReturn(0);
2351 }
2352 
2353 #undef __FUNCT__
2354 #define __FUNCT__ "TSGetProblemType"
2355 /*@C
2356   TSGetProblemType - Gets the type of problem to be solved.
2357 
2358   Not collective
2359 
2360   Input Parameter:
2361 . ts   - The TS
2362 
2363   Output Parameter:
2364 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2365 .vb
2366          M U_t = A U
2367          M(t) U_t = A(t) U
2368          F(t,U,U_t)
2369 .ve
2370 
2371    Level: beginner
2372 
2373 .keywords: TS, problem type
2374 .seealso: TSSetUp(), TSProblemType, TS
2375 @*/
2376 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
2377 {
2378   PetscFunctionBegin;
2379   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2380   PetscValidIntPointer(type,2);
2381   *type = ts->problem_type;
2382   PetscFunctionReturn(0);
2383 }
2384 
2385 #undef __FUNCT__
2386 #define __FUNCT__ "TSSetUp"
2387 /*@
2388    TSSetUp - Sets up the internal data structures for the later use
2389    of a timestepper.
2390 
2391    Collective on TS
2392 
2393    Input Parameter:
2394 .  ts - the TS context obtained from TSCreate()
2395 
2396    Notes:
2397    For basic use of the TS solvers the user need not explicitly call
2398    TSSetUp(), since these actions will automatically occur during
2399    the call to TSStep().  However, if one wishes to control this
2400    phase separately, TSSetUp() should be called after TSCreate()
2401    and optional routines of the form TSSetXXX(), but before TSStep().
2402 
2403    Level: advanced
2404 
2405 .keywords: TS, timestep, setup
2406 
2407 .seealso: TSCreate(), TSStep(), TSDestroy()
2408 @*/
2409 PetscErrorCode  TSSetUp(TS ts)
2410 {
2411   PetscErrorCode ierr;
2412   DM             dm;
2413   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2414   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
2415   TSIFunction    ifun;
2416   TSIJacobian    ijac;
2417   TSI2Jacobian   i2jac;
2418   TSRHSJacobian  rhsjac;
2419 
2420   PetscFunctionBegin;
2421   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2422   if (ts->setupcalled) PetscFunctionReturn(0);
2423 
2424   ts->total_steps = 0;
2425   if (!((PetscObject)ts)->type_name) {
2426     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
2427     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
2428   }
2429 
2430   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2431 
2432   if (ts->rhsjacobian.reuse) {
2433     Mat Amat,Pmat;
2434     SNES snes;
2435     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2436     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2437     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2438      * have displaced the RHS matrix */
2439     if (Amat == ts->Arhs) {
2440       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2441       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2442       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2443     }
2444     if (Pmat == ts->Brhs) {
2445       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2446       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2447       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2448     }
2449   }
2450   if (ts->ops->setup) {
2451     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2452   }
2453 
2454   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2455      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2456    */
2457   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2458   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2459   if (!func) {
2460     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2461   }
2462   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2463      Otherwise, the SNES will use coloring internally to form the Jacobian.
2464    */
2465   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2466   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2467   ierr = DMTSGetI2Jacobian(dm,&i2jac,NULL);CHKERRQ(ierr);
2468   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2469   if (!jac && (ijac || i2jac || rhsjac)) {
2470     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2471   }
2472   ts->setupcalled = PETSC_TRUE;
2473   PetscFunctionReturn(0);
2474 }
2475 
2476 #undef __FUNCT__
2477 #define __FUNCT__ "TSAdjointSetUp"
2478 /*@
2479    TSAdjointSetUp - Sets up the internal data structures for the later use
2480    of an adjoint solver
2481 
2482    Collective on TS
2483 
2484    Input Parameter:
2485 .  ts - the TS context obtained from TSCreate()
2486 
2487    Level: advanced
2488 
2489 .keywords: TS, timestep, setup
2490 
2491 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2492 @*/
2493 PetscErrorCode  TSAdjointSetUp(TS ts)
2494 {
2495   PetscErrorCode ierr;
2496 
2497   PetscFunctionBegin;
2498   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2499   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2500   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2501 
2502   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2503     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2504     if (ts->vecs_sensip){
2505       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2506     }
2507   }
2508 
2509   if (ts->ops->adjointsetup) {
2510     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2511   }
2512   ts->adjointsetupcalled = PETSC_TRUE;
2513   PetscFunctionReturn(0);
2514 }
2515 
2516 #undef __FUNCT__
2517 #define __FUNCT__ "TSReset"
2518 /*@
2519    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2520 
2521    Collective on TS
2522 
2523    Input Parameter:
2524 .  ts - the TS context obtained from TSCreate()
2525 
2526    Level: beginner
2527 
2528 .keywords: TS, timestep, reset
2529 
2530 .seealso: TSCreate(), TSSetup(), TSDestroy()
2531 @*/
2532 PetscErrorCode  TSReset(TS ts)
2533 {
2534   PetscErrorCode ierr;
2535 
2536   PetscFunctionBegin;
2537   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2538 
2539   if (ts->ops->reset) {
2540     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2541   }
2542   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2543   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2544 
2545   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2546   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2547   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2548   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2549   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
2550   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2551   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2552   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2553 
2554  if (ts->vec_costintegral) {
2555     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2556     if (ts->vecs_drdp){
2557       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2558     }
2559   }
2560   ts->vecs_sensi  = NULL;
2561   ts->vecs_sensip = NULL;
2562   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2563   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2564   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2565   ts->setupcalled = PETSC_FALSE;
2566   PetscFunctionReturn(0);
2567 }
2568 
2569 #undef __FUNCT__
2570 #define __FUNCT__ "TSDestroy"
2571 /*@
2572    TSDestroy - Destroys the timestepper context that was created
2573    with TSCreate().
2574 
2575    Collective on TS
2576 
2577    Input Parameter:
2578 .  ts - the TS context obtained from TSCreate()
2579 
2580    Level: beginner
2581 
2582 .keywords: TS, timestepper, destroy
2583 
2584 .seealso: TSCreate(), TSSetUp(), TSSolve()
2585 @*/
2586 PetscErrorCode  TSDestroy(TS *ts)
2587 {
2588   PetscErrorCode ierr;
2589 
2590   PetscFunctionBegin;
2591   if (!*ts) PetscFunctionReturn(0);
2592   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2593   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2594 
2595   ierr = TSReset((*ts));CHKERRQ(ierr);
2596 
2597   /* if memory was published with SAWs then destroy it */
2598   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2599   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2600 
2601   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2602 
2603   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2604   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2605 
2606   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2607   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2608   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2609   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2610 
2611   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2612   PetscFunctionReturn(0);
2613 }
2614 
2615 #undef __FUNCT__
2616 #define __FUNCT__ "TSGetSNES"
2617 /*@
2618    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2619    a TS (timestepper) context. Valid only for nonlinear problems.
2620 
2621    Not Collective, but SNES is parallel if TS is parallel
2622 
2623    Input Parameter:
2624 .  ts - the TS context obtained from TSCreate()
2625 
2626    Output Parameter:
2627 .  snes - the nonlinear solver context
2628 
2629    Notes:
2630    The user can then directly manipulate the SNES context to set various
2631    options, etc.  Likewise, the user can then extract and manipulate the
2632    KSP, KSP, and PC contexts as well.
2633 
2634    TSGetSNES() does not work for integrators that do not use SNES; in
2635    this case TSGetSNES() returns NULL in snes.
2636 
2637    Level: beginner
2638 
2639 .keywords: timestep, get, SNES
2640 @*/
2641 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2642 {
2643   PetscErrorCode ierr;
2644 
2645   PetscFunctionBegin;
2646   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2647   PetscValidPointer(snes,2);
2648   if (!ts->snes) {
2649     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2650     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2651     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2652     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2653     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2654     if (ts->problem_type == TS_LINEAR) {
2655       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2656     }
2657   }
2658   *snes = ts->snes;
2659   PetscFunctionReturn(0);
2660 }
2661 
2662 #undef __FUNCT__
2663 #define __FUNCT__ "TSSetSNES"
2664 /*@
2665    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2666 
2667    Collective
2668 
2669    Input Parameter:
2670 +  ts - the TS context obtained from TSCreate()
2671 -  snes - the nonlinear solver context
2672 
2673    Notes:
2674    Most users should have the TS created by calling TSGetSNES()
2675 
2676    Level: developer
2677 
2678 .keywords: timestep, set, SNES
2679 @*/
2680 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2681 {
2682   PetscErrorCode ierr;
2683   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2684 
2685   PetscFunctionBegin;
2686   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2687   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2688   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2689   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2690 
2691   ts->snes = snes;
2692 
2693   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2694   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2695   if (func == SNESTSFormJacobian) {
2696     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2697   }
2698   PetscFunctionReturn(0);
2699 }
2700 
2701 #undef __FUNCT__
2702 #define __FUNCT__ "TSGetKSP"
2703 /*@
2704    TSGetKSP - Returns the KSP (linear solver) associated with
2705    a TS (timestepper) context.
2706 
2707    Not Collective, but KSP is parallel if TS is parallel
2708 
2709    Input Parameter:
2710 .  ts - the TS context obtained from TSCreate()
2711 
2712    Output Parameter:
2713 .  ksp - the nonlinear solver context
2714 
2715    Notes:
2716    The user can then directly manipulate the KSP context to set various
2717    options, etc.  Likewise, the user can then extract and manipulate the
2718    KSP and PC contexts as well.
2719 
2720    TSGetKSP() does not work for integrators that do not use KSP;
2721    in this case TSGetKSP() returns NULL in ksp.
2722 
2723    Level: beginner
2724 
2725 .keywords: timestep, get, KSP
2726 @*/
2727 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2728 {
2729   PetscErrorCode ierr;
2730   SNES           snes;
2731 
2732   PetscFunctionBegin;
2733   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2734   PetscValidPointer(ksp,2);
2735   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2736   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2737   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2738   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2739   PetscFunctionReturn(0);
2740 }
2741 
2742 /* ----------- Routines to set solver parameters ---------- */
2743 
2744 #undef __FUNCT__
2745 #define __FUNCT__ "TSGetDuration"
2746 /*@
2747    TSGetDuration - Gets the maximum number of timesteps to use and
2748    maximum time for iteration.
2749 
2750    Not Collective
2751 
2752    Input Parameters:
2753 +  ts       - the TS context obtained from TSCreate()
2754 .  maxsteps - maximum number of iterations to use, or NULL
2755 -  maxtime  - final time to iterate to, or NULL
2756 
2757    Level: intermediate
2758 
2759 .keywords: TS, timestep, get, maximum, iterations, time
2760 @*/
2761 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2762 {
2763   PetscFunctionBegin;
2764   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2765   if (maxsteps) {
2766     PetscValidIntPointer(maxsteps,2);
2767     *maxsteps = ts->max_steps;
2768   }
2769   if (maxtime) {
2770     PetscValidScalarPointer(maxtime,3);
2771     *maxtime = ts->max_time;
2772   }
2773   PetscFunctionReturn(0);
2774 }
2775 
2776 #undef __FUNCT__
2777 #define __FUNCT__ "TSSetDuration"
2778 /*@
2779    TSSetDuration - Sets the maximum number of timesteps to use and
2780    maximum time for iteration.
2781 
2782    Logically Collective on TS
2783 
2784    Input Parameters:
2785 +  ts - the TS context obtained from TSCreate()
2786 .  maxsteps - maximum number of iterations to use
2787 -  maxtime - final time to iterate to
2788 
2789    Options Database Keys:
2790 .  -ts_max_steps <maxsteps> - Sets maxsteps
2791 .  -ts_final_time <maxtime> - Sets maxtime
2792 
2793    Notes:
2794    The default maximum number of iterations is 5000. Default time is 5.0
2795 
2796    Level: intermediate
2797 
2798 .keywords: TS, timestep, set, maximum, iterations
2799 
2800 .seealso: TSSetExactFinalTime()
2801 @*/
2802 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2803 {
2804   PetscFunctionBegin;
2805   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2806   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2807   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2808   if (maxsteps >= 0) ts->max_steps = maxsteps;
2809   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2810   PetscFunctionReturn(0);
2811 }
2812 
2813 #undef __FUNCT__
2814 #define __FUNCT__ "TSSetSolution"
2815 /*@
2816    TSSetSolution - Sets the initial solution vector
2817    for use by the TS routines.
2818 
2819    Logically Collective on TS and Vec
2820 
2821    Input Parameters:
2822 +  ts - the TS context obtained from TSCreate()
2823 -  u - the solution vector
2824 
2825    Level: beginner
2826 
2827 .keywords: TS, timestep, set, solution, initial conditions
2828 @*/
2829 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2830 {
2831   PetscErrorCode ierr;
2832   DM             dm;
2833 
2834   PetscFunctionBegin;
2835   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2836   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2837   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2838   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2839   ts->vec_sol = u;
2840 
2841   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2842   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2843   PetscFunctionReturn(0);
2844 }
2845 
2846 #undef __FUNCT__
2847 #define __FUNCT__ "TSAdjointSetSteps"
2848 /*@
2849    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2850 
2851    Logically Collective on TS
2852 
2853    Input Parameters:
2854 +  ts - the TS context obtained from TSCreate()
2855 .  steps - number of steps to use
2856 
2857    Level: intermediate
2858 
2859    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2860           so as to integrate back to less than the original timestep
2861 
2862 .keywords: TS, timestep, set, maximum, iterations
2863 
2864 .seealso: TSSetExactFinalTime()
2865 @*/
2866 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2867 {
2868   PetscFunctionBegin;
2869   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2870   PetscValidLogicalCollectiveInt(ts,steps,2);
2871   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2872   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2873   ts->adjoint_max_steps = steps;
2874   PetscFunctionReturn(0);
2875 }
2876 
2877 #undef __FUNCT__
2878 #define __FUNCT__ "TSSetCostGradients"
2879 /*@
2880    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2881       for use by the TSAdjoint routines.
2882 
2883    Logically Collective on TS and Vec
2884 
2885    Input Parameters:
2886 +  ts - the TS context obtained from TSCreate()
2887 .  lambda - gradients with respect to the initial condition variables, the dimension and parallel layout of these vectors is the same as the ODE solution vector
2888 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2889 
2890    Level: beginner
2891 
2892    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2893 
2894 .keywords: TS, timestep, set, sensitivity, initial conditions
2895 @*/
2896 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2897 {
2898   PetscFunctionBegin;
2899   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2900   PetscValidPointer(lambda,2);
2901   ts->vecs_sensi  = lambda;
2902   ts->vecs_sensip = mu;
2903   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSSetCostIntegrand()) is inconsistent with the one set by TSSetCostIntegrand");
2904   ts->numcost  = numcost;
2905   PetscFunctionReturn(0);
2906 }
2907 
2908 #undef __FUNCT__
2909 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2910 /*@C
2911   TSAdjointSetRHSJacobian - Sets the function that computes the Jacobian of G w.r.t. the parameters p where y_t = G(y,p,t), as well as the location to store the matrix.
2912 
2913   Logically Collective on TS
2914 
2915   Input Parameters:
2916 + ts   - The TS context obtained from TSCreate()
2917 - func - The function
2918 
2919   Calling sequence of func:
2920 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2921 +   t - current timestep
2922 .   y - input vector (current ODE solution)
2923 .   A - output matrix
2924 -   ctx - [optional] user-defined function context
2925 
2926   Level: intermediate
2927 
2928   Notes: Amat has the same number of rows and the same row parallel layout as u, Amat has the same number of columns and parallel layout as p
2929 
2930 .keywords: TS, sensitivity
2931 .seealso:
2932 @*/
2933 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2934 {
2935   PetscErrorCode ierr;
2936 
2937   PetscFunctionBegin;
2938   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2939   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2940 
2941   ts->rhsjacobianp    = func;
2942   ts->rhsjacobianpctx = ctx;
2943   if(Amat) {
2944     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2945     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2946     ts->Jacp = Amat;
2947   }
2948   PetscFunctionReturn(0);
2949 }
2950 
2951 #undef __FUNCT__
2952 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2953 /*@C
2954   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2955 
2956   Collective on TS
2957 
2958   Input Parameters:
2959 . ts   - The TS context obtained from TSCreate()
2960 
2961   Level: developer
2962 
2963 .keywords: TS, sensitivity
2964 .seealso: TSAdjointSetRHSJacobian()
2965 @*/
2966 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2967 {
2968   PetscErrorCode ierr;
2969 
2970   PetscFunctionBegin;
2971   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2972   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2973   PetscValidPointer(Amat,4);
2974 
2975   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2976   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2977   PetscStackPop;
2978   PetscFunctionReturn(0);
2979 }
2980 
2981 #undef __FUNCT__
2982 #define __FUNCT__ "TSSetCostIntegrand"
2983 /*@C
2984     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2985 
2986     Logically Collective on TS
2987 
2988     Input Parameters:
2989 +   ts - the TS context obtained from TSCreate()
2990 .   numcost - number of gradients to be computed, this is the number of cost functions
2991 .   rf - routine for evaluating the integrand function
2992 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2993 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2994 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
2995 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2996 
2997     Calling sequence of rf:
2998 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2999 
3000 +   t - current timestep
3001 .   y - input vector
3002 .   f - function result; one vector entry for each cost function
3003 -   ctx - [optional] user-defined function context
3004 
3005    Calling sequence of drdyf:
3006 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
3007 
3008    Calling sequence of drdpf:
3009 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
3010 
3011     Level: intermediate
3012 
3013     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
3014 
3015 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
3016 
3017 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
3018 @*/
3019 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
3020                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
3021                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
3022                                                           PetscBool fwd,void *ctx)
3023 {
3024   PetscErrorCode ierr;
3025 
3026   PetscFunctionBegin;
3027   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3028   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSSetCostIntegrand()) is inconsistent with the one set by TSSetCostGradients()");
3029   if (!ts->numcost) ts->numcost=numcost;
3030 
3031   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
3032   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
3033   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
3034   ts->costintegrand    = rf;
3035   ts->costintegrandctx = ctx;
3036   ts->drdyfunction     = drdyf;
3037   ts->drdpfunction     = drdpf;
3038   PetscFunctionReturn(0);
3039 }
3040 
3041 #undef __FUNCT__
3042 #define __FUNCT__ "TSGetCostIntegral"
3043 /*@
3044    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
3045    It is valid to call the routine after a backward run.
3046 
3047    Not Collective
3048 
3049    Input Parameter:
3050 .  ts - the TS context obtained from TSCreate()
3051 
3052    Output Parameter:
3053 .  v - the vector containing the integrals for each cost function
3054 
3055    Level: intermediate
3056 
3057 .seealso: TSSetCostIntegrand()
3058 
3059 .keywords: TS, sensitivity analysis
3060 @*/
3061 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
3062 {
3063   PetscFunctionBegin;
3064   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3065   PetscValidPointer(v,2);
3066   *v = ts->vec_costintegral;
3067   PetscFunctionReturn(0);
3068 }
3069 
3070 #undef __FUNCT__
3071 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
3072 /*@
3073    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
3074 
3075    Input Parameters:
3076 +  ts - the TS context
3077 .  t - current time
3078 -  y - state vector, i.e. current solution
3079 
3080    Output Parameter:
3081 .  q - vector of size numcost to hold the outputs
3082 
3083    Note:
3084    Most users should not need to explicitly call this routine, as it
3085    is used internally within the sensitivity analysis context.
3086 
3087    Level: developer
3088 
3089 .keywords: TS, compute
3090 
3091 .seealso: TSSetCostIntegrand()
3092 @*/
3093 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
3094 {
3095   PetscErrorCode ierr;
3096 
3097   PetscFunctionBegin;
3098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3099   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3100   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
3101 
3102   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3103   if (ts->costintegrand) {
3104     PetscStackPush("TS user integrand in the cost function");
3105     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
3106     PetscStackPop;
3107   } else {
3108     ierr = VecZeroEntries(q);CHKERRQ(ierr);
3109   }
3110 
3111   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3112   PetscFunctionReturn(0);
3113 }
3114 
3115 #undef __FUNCT__
3116 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
3117 /*@
3118   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
3119 
3120   Collective on TS
3121 
3122   Input Parameters:
3123 . ts   - The TS context obtained from TSCreate()
3124 
3125   Notes:
3126   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
3127   so most users would not generally call this routine themselves.
3128 
3129   Level: developer
3130 
3131 .keywords: TS, sensitivity
3132 .seealso: TSAdjointComputeDRDYFunction()
3133 @*/
3134 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
3135 {
3136   PetscErrorCode ierr;
3137 
3138   PetscFunctionBegin;
3139   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3140   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3141 
3142   PetscStackPush("TS user DRDY function for sensitivity analysis");
3143   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
3144   PetscStackPop;
3145   PetscFunctionReturn(0);
3146 }
3147 
3148 #undef __FUNCT__
3149 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
3150 /*@
3151   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
3152 
3153   Collective on TS
3154 
3155   Input Parameters:
3156 . ts   - The TS context obtained from TSCreate()
3157 
3158   Notes:
3159   TSDRDPFunction() is typically used for sensitivity implementation,
3160   so most users would not generally call this routine themselves.
3161 
3162   Level: developer
3163 
3164 .keywords: TS, sensitivity
3165 .seealso: TSAdjointSetDRDPFunction()
3166 @*/
3167 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
3168 {
3169   PetscErrorCode ierr;
3170 
3171   PetscFunctionBegin;
3172   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3173   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3174 
3175   PetscStackPush("TS user DRDP function for sensitivity analysis");
3176   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
3177   PetscStackPop;
3178   PetscFunctionReturn(0);
3179 }
3180 
3181 #undef __FUNCT__
3182 #define __FUNCT__ "TSSetPreStep"
3183 /*@C
3184   TSSetPreStep - Sets the general-purpose function
3185   called once at the beginning of each time step.
3186 
3187   Logically Collective on TS
3188 
3189   Input Parameters:
3190 + ts   - The TS context obtained from TSCreate()
3191 - func - The function
3192 
3193   Calling sequence of func:
3194 . func (TS ts);
3195 
3196   Level: intermediate
3197 
3198   Note:
3199   If a step is rejected, TSStep() will call this routine again before each attempt.
3200   The last completed time step number can be queried using TSGetTimeStepNumber(), the
3201   size of the step being attempted can be obtained using TSGetTimeStep().
3202 
3203 .keywords: TS, timestep
3204 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
3205 @*/
3206 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
3207 {
3208   PetscFunctionBegin;
3209   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3210   ts->prestep = func;
3211   PetscFunctionReturn(0);
3212 }
3213 
3214 #undef __FUNCT__
3215 #define __FUNCT__ "TSPreStep"
3216 /*@
3217   TSPreStep - Runs the user-defined pre-step function.
3218 
3219   Collective on TS
3220 
3221   Input Parameters:
3222 . ts   - The TS context obtained from TSCreate()
3223 
3224   Notes:
3225   TSPreStep() is typically used within time stepping implementations,
3226   so most users would not generally call this routine themselves.
3227 
3228   Level: developer
3229 
3230 .keywords: TS, timestep
3231 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
3232 @*/
3233 PetscErrorCode  TSPreStep(TS ts)
3234 {
3235   PetscErrorCode ierr;
3236 
3237   PetscFunctionBegin;
3238   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3239   if (ts->prestep) {
3240     PetscStackCallStandard((*ts->prestep),(ts));
3241   }
3242   PetscFunctionReturn(0);
3243 }
3244 
3245 #undef __FUNCT__
3246 #define __FUNCT__ "TSSetPreStage"
3247 /*@C
3248   TSSetPreStage - Sets the general-purpose function
3249   called once at the beginning of each stage.
3250 
3251   Logically Collective on TS
3252 
3253   Input Parameters:
3254 + ts   - The TS context obtained from TSCreate()
3255 - func - The function
3256 
3257   Calling sequence of func:
3258 . PetscErrorCode func(TS ts, PetscReal stagetime);
3259 
3260   Level: intermediate
3261 
3262   Note:
3263   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3264   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3265   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3266 
3267 .keywords: TS, timestep
3268 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3269 @*/
3270 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
3271 {
3272   PetscFunctionBegin;
3273   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3274   ts->prestage = func;
3275   PetscFunctionReturn(0);
3276 }
3277 
3278 #undef __FUNCT__
3279 #define __FUNCT__ "TSSetPostStage"
3280 /*@C
3281   TSSetPostStage - Sets the general-purpose function
3282   called once at the end of each stage.
3283 
3284   Logically Collective on TS
3285 
3286   Input Parameters:
3287 + ts   - The TS context obtained from TSCreate()
3288 - func - The function
3289 
3290   Calling sequence of func:
3291 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
3292 
3293   Level: intermediate
3294 
3295   Note:
3296   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3297   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3298   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3299 
3300 .keywords: TS, timestep
3301 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3302 @*/
3303 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
3304 {
3305   PetscFunctionBegin;
3306   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3307   ts->poststage = func;
3308   PetscFunctionReturn(0);
3309 }
3310 
3311 #undef __FUNCT__
3312 #define __FUNCT__ "TSSetPostEvaluate"
3313 /*@C
3314   TSSetPostEvaluate - Sets the general-purpose function
3315   called once at the end of each step evaluation.
3316 
3317   Logically Collective on TS
3318 
3319   Input Parameters:
3320 + ts   - The TS context obtained from TSCreate()
3321 - func - The function
3322 
3323   Calling sequence of func:
3324 . PetscErrorCode func(TS ts);
3325 
3326   Level: intermediate
3327 
3328   Note:
3329   Semantically, TSSetPostEvaluate() differs from TSSetPostStep() since the function it sets is called before event-handling
3330   thus guaranteeing the same solution (computed by the time-stepper) will be passed to it. On the other hand, TSPostStep()
3331   may be passed a different solution, possibly changed by the event handler. TSPostEvaluate() is called after the next step
3332   solution is evaluated allowing to modify it, if need be. The solution can be obtained with TSGetSolution(), the time step
3333   with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3334 
3335 .keywords: TS, timestep
3336 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3337 @*/
3338 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3339 {
3340   PetscFunctionBegin;
3341   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3342   ts->postevaluate = func;
3343   PetscFunctionReturn(0);
3344 }
3345 
3346 #undef __FUNCT__
3347 #define __FUNCT__ "TSPreStage"
3348 /*@
3349   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3350 
3351   Collective on TS
3352 
3353   Input Parameters:
3354 . ts          - The TS context obtained from TSCreate()
3355   stagetime   - The absolute time of the current stage
3356 
3357   Notes:
3358   TSPreStage() is typically used within time stepping implementations,
3359   most users would not generally call this routine themselves.
3360 
3361   Level: developer
3362 
3363 .keywords: TS, timestep
3364 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3365 @*/
3366 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3367 {
3368   PetscErrorCode ierr;
3369 
3370   PetscFunctionBegin;
3371   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3372   if (ts->prestage) {
3373     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3374   }
3375   PetscFunctionReturn(0);
3376 }
3377 
3378 #undef __FUNCT__
3379 #define __FUNCT__ "TSPostStage"
3380 /*@
3381   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3382 
3383   Collective on TS
3384 
3385   Input Parameters:
3386 . ts          - The TS context obtained from TSCreate()
3387   stagetime   - The absolute time of the current stage
3388   stageindex  - Stage number
3389   Y           - Array of vectors (of size = total number
3390                 of stages) with the stage solutions
3391 
3392   Notes:
3393   TSPostStage() is typically used within time stepping implementations,
3394   most users would not generally call this routine themselves.
3395 
3396   Level: developer
3397 
3398 .keywords: TS, timestep
3399 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3400 @*/
3401 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3402 {
3403   PetscErrorCode ierr;
3404 
3405   PetscFunctionBegin;
3406   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3407   if (ts->poststage) {
3408     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3409   }
3410   PetscFunctionReturn(0);
3411 }
3412 
3413 #undef __FUNCT__
3414 #define __FUNCT__ "TSPostEvaluate"
3415 /*@
3416   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3417 
3418   Collective on TS
3419 
3420   Input Parameters:
3421 . ts          - The TS context obtained from TSCreate()
3422 
3423   Notes:
3424   TSPostEvaluate() is typically used within time stepping implementations,
3425   most users would not generally call this routine themselves.
3426 
3427   Level: developer
3428 
3429 .keywords: TS, timestep
3430 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3431 @*/
3432 PetscErrorCode  TSPostEvaluate(TS ts)
3433 {
3434   PetscErrorCode ierr;
3435 
3436   PetscFunctionBegin;
3437   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3438   if (ts->postevaluate) {
3439     PetscStackCallStandard((*ts->postevaluate),(ts));
3440   }
3441   PetscFunctionReturn(0);
3442 }
3443 
3444 #undef __FUNCT__
3445 #define __FUNCT__ "TSSetPostStep"
3446 /*@C
3447   TSSetPostStep - Sets the general-purpose function
3448   called once at the end of each time step.
3449 
3450   Logically Collective on TS
3451 
3452   Input Parameters:
3453 + ts   - The TS context obtained from TSCreate()
3454 - func - The function
3455 
3456   Calling sequence of func:
3457 $ func (TS ts);
3458 
3459   Notes:
3460   The function set by TSSetPostStep() is called after each successful step. The solution vector X
3461   obtained by TSGetSolution() may be different than that computed at the step end if the event handler
3462   locates an event and TSPostEvent() modifies it. Use TSSetPostEvaluate() if an unmodified solution is needed instead.
3463 
3464   Level: intermediate
3465 
3466 .keywords: TS, timestep
3467 .seealso: TSSetPreStep(), TSSetPreStage(), TSSetPostEvaluate(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3468 @*/
3469 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3470 {
3471   PetscFunctionBegin;
3472   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3473   ts->poststep = func;
3474   PetscFunctionReturn(0);
3475 }
3476 
3477 #undef __FUNCT__
3478 #define __FUNCT__ "TSPostStep"
3479 /*@
3480   TSPostStep - Runs the user-defined post-step function.
3481 
3482   Collective on TS
3483 
3484   Input Parameters:
3485 . ts   - The TS context obtained from TSCreate()
3486 
3487   Notes:
3488   TSPostStep() is typically used within time stepping implementations,
3489   so most users would not generally call this routine themselves.
3490 
3491   Level: developer
3492 
3493 .keywords: TS, timestep
3494 @*/
3495 PetscErrorCode  TSPostStep(TS ts)
3496 {
3497   PetscErrorCode ierr;
3498 
3499   PetscFunctionBegin;
3500   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3501   if (ts->poststep) {
3502     PetscStackCallStandard((*ts->poststep),(ts));
3503   }
3504   PetscFunctionReturn(0);
3505 }
3506 
3507 /* ------------ Routines to set performance monitoring options ----------- */
3508 
3509 #undef __FUNCT__
3510 #define __FUNCT__ "TSMonitorSet"
3511 /*@C
3512    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3513    timestep to display the iteration's  progress.
3514 
3515    Logically Collective on TS
3516 
3517    Input Parameters:
3518 +  ts - the TS context obtained from TSCreate()
3519 .  monitor - monitoring routine
3520 .  mctx - [optional] user-defined context for private data for the
3521              monitor routine (use NULL if no context is desired)
3522 -  monitordestroy - [optional] routine that frees monitor context
3523           (may be NULL)
3524 
3525    Calling sequence of monitor:
3526 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3527 
3528 +    ts - the TS context
3529 .    steps - iteration number (after the final time step the monitor routine may be called with a step of -1, this indicates the solution has been interpolated to this time)
3530 .    time - current time
3531 .    u - current iterate
3532 -    mctx - [optional] monitoring context
3533 
3534    Notes:
3535    This routine adds an additional monitor to the list of monitors that
3536    already has been loaded.
3537 
3538    Fortran notes: Only a single monitor function can be set for each TS object
3539 
3540    Level: intermediate
3541 
3542 .keywords: TS, timestep, set, monitor
3543 
3544 .seealso: TSMonitorDefault(), TSMonitorCancel()
3545 @*/
3546 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3547 {
3548   PetscErrorCode ierr;
3549   PetscInt       i;
3550   PetscBool      identical;
3551 
3552   PetscFunctionBegin;
3553   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3554   for (i=0; i<ts->numbermonitors;i++) {
3555     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3556     if (identical) PetscFunctionReturn(0);
3557   }
3558   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3559   ts->monitor[ts->numbermonitors]          = monitor;
3560   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3561   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3562   PetscFunctionReturn(0);
3563 }
3564 
3565 #undef __FUNCT__
3566 #define __FUNCT__ "TSMonitorCancel"
3567 /*@C
3568    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3569 
3570    Logically Collective on TS
3571 
3572    Input Parameters:
3573 .  ts - the TS context obtained from TSCreate()
3574 
3575    Notes:
3576    There is no way to remove a single, specific monitor.
3577 
3578    Level: intermediate
3579 
3580 .keywords: TS, timestep, set, monitor
3581 
3582 .seealso: TSMonitorDefault(), TSMonitorSet()
3583 @*/
3584 PetscErrorCode  TSMonitorCancel(TS ts)
3585 {
3586   PetscErrorCode ierr;
3587   PetscInt       i;
3588 
3589   PetscFunctionBegin;
3590   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3591   for (i=0; i<ts->numbermonitors; i++) {
3592     if (ts->monitordestroy[i]) {
3593       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3594     }
3595   }
3596   ts->numbermonitors = 0;
3597   PetscFunctionReturn(0);
3598 }
3599 
3600 #undef __FUNCT__
3601 #define __FUNCT__ "TSMonitorDefault"
3602 /*@C
3603    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3604 
3605    Level: intermediate
3606 
3607 .keywords: TS, set, monitor
3608 
3609 .seealso:  TSMonitorSet()
3610 @*/
3611 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3612 {
3613   PetscErrorCode ierr;
3614   PetscViewer    viewer =  vf->viewer;
3615   PetscBool      iascii,ibinary;
3616 
3617   PetscFunctionBegin;
3618   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3619   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3620   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3621   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3622   if (iascii) {
3623     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3624     if (step == -1){ /* this indicates it is an interpolated solution */
3625       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3626     } else {
3627       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3628     }
3629     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3630   } else if (ibinary) {
3631     PetscMPIInt rank;
3632     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3633     if (!rank) {
3634       PetscBool skipHeader;
3635       PetscInt  classid = REAL_FILE_CLASSID;
3636 
3637       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3638       if (!skipHeader) {
3639          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3640        }
3641       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3642     } else {
3643       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3644     }
3645   }
3646   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3647   PetscFunctionReturn(0);
3648 }
3649 
3650 #undef __FUNCT__
3651 #define __FUNCT__ "TSAdjointMonitorSet"
3652 /*@C
3653    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3654    timestep to display the iteration's  progress.
3655 
3656    Logically Collective on TS
3657 
3658    Input Parameters:
3659 +  ts - the TS context obtained from TSCreate()
3660 .  adjointmonitor - monitoring routine
3661 .  adjointmctx - [optional] user-defined context for private data for the
3662              monitor routine (use NULL if no context is desired)
3663 -  adjointmonitordestroy - [optional] routine that frees monitor context
3664           (may be NULL)
3665 
3666    Calling sequence of monitor:
3667 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3668 
3669 +    ts - the TS context
3670 .    steps - iteration number (after the final time step the monitor routine is called with a step of -1, this is at the final time which may have
3671                                been interpolated to)
3672 .    time - current time
3673 .    u - current iterate
3674 .    numcost - number of cost functionos
3675 .    lambda - sensitivities to initial conditions
3676 .    mu - sensitivities to parameters
3677 -    adjointmctx - [optional] adjoint monitoring context
3678 
3679    Notes:
3680    This routine adds an additional monitor to the list of monitors that
3681    already has been loaded.
3682 
3683    Fortran notes: Only a single monitor function can be set for each TS object
3684 
3685    Level: intermediate
3686 
3687 .keywords: TS, timestep, set, adjoint, monitor
3688 
3689 .seealso: TSAdjointMonitorCancel()
3690 @*/
3691 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3692 {
3693   PetscErrorCode ierr;
3694   PetscInt       i;
3695   PetscBool      identical;
3696 
3697   PetscFunctionBegin;
3698   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3699   for (i=0; i<ts->numbermonitors;i++) {
3700     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3701     if (identical) PetscFunctionReturn(0);
3702   }
3703   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3704   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3705   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3706   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3707   PetscFunctionReturn(0);
3708 }
3709 
3710 #undef __FUNCT__
3711 #define __FUNCT__ "TSAdjointMonitorCancel"
3712 /*@C
3713    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3714 
3715    Logically Collective on TS
3716 
3717    Input Parameters:
3718 .  ts - the TS context obtained from TSCreate()
3719 
3720    Notes:
3721    There is no way to remove a single, specific monitor.
3722 
3723    Level: intermediate
3724 
3725 .keywords: TS, timestep, set, adjoint, monitor
3726 
3727 .seealso: TSAdjointMonitorSet()
3728 @*/
3729 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3730 {
3731   PetscErrorCode ierr;
3732   PetscInt       i;
3733 
3734   PetscFunctionBegin;
3735   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3736   for (i=0; i<ts->numberadjointmonitors; i++) {
3737     if (ts->adjointmonitordestroy[i]) {
3738       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3739     }
3740   }
3741   ts->numberadjointmonitors = 0;
3742   PetscFunctionReturn(0);
3743 }
3744 
3745 #undef __FUNCT__
3746 #define __FUNCT__ "TSAdjointMonitorDefault"
3747 /*@C
3748    TSAdjointMonitorDefault - the default monitor of adjoint computations
3749 
3750    Level: intermediate
3751 
3752 .keywords: TS, set, monitor
3753 
3754 .seealso: TSAdjointMonitorSet()
3755 @*/
3756 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3757 {
3758   PetscErrorCode ierr;
3759   PetscViewer    viewer = vf->viewer;
3760 
3761   PetscFunctionBegin;
3762   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3763   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3764   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3765   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3766   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3767   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3768   PetscFunctionReturn(0);
3769 }
3770 
3771 #undef __FUNCT__
3772 #define __FUNCT__ "TSInterpolate"
3773 /*@
3774    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3775 
3776    Collective on TS
3777 
3778    Input Argument:
3779 +  ts - time stepping context
3780 -  t - time to interpolate to
3781 
3782    Output Argument:
3783 .  U - state at given time
3784 
3785    Level: intermediate
3786 
3787    Developer Notes:
3788    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3789 
3790 .keywords: TS, set
3791 
3792 .seealso: TSSetExactFinalTime(), TSSolve()
3793 @*/
3794 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3795 {
3796   PetscErrorCode ierr;
3797 
3798   PetscFunctionBegin;
3799   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3800   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3801   if (t < ts->ptime_prev || t > ts->ptime) SETERRQ3(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Requested time %g not in last time steps [%g,%g]",t,(double)ts->ptime_prev,(double)ts->ptime);
3802   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3803   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3804   PetscFunctionReturn(0);
3805 }
3806 
3807 #undef __FUNCT__
3808 #define __FUNCT__ "TSStep"
3809 /*@
3810    TSStep - Steps one time step
3811 
3812    Collective on TS
3813 
3814    Input Parameter:
3815 .  ts - the TS context obtained from TSCreate()
3816 
3817    Level: developer
3818 
3819    Notes:
3820    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3821 
3822    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3823    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3824 
3825    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3826    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3827 
3828 .keywords: TS, timestep, solve
3829 
3830 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3831 @*/
3832 PetscErrorCode  TSStep(TS ts)
3833 {
3834   PetscErrorCode   ierr;
3835   static PetscBool cite = PETSC_FALSE;
3836   PetscReal        ptime;
3837 
3838   PetscFunctionBegin;
3839   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3840   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3841                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3842                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3843                                 "  type        = {Preprint},\n"
3844                                 "  number      = {ANL/MCS-P5061-0114},\n"
3845                                 "  institution = {Argonne National Laboratory},\n"
3846                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3847 
3848   ierr = TSSetUp(ts);CHKERRQ(ierr);
3849   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3850 
3851   if (ts->exact_final_time == TS_EXACTFINALTIME_UNSPECIFIED) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"You must call TSSetExactFinalTime() or use -ts_exact_final_time <stepover,interpolate,matchstep> before calling TSStep()");
3852   if (ts->exact_final_time == TS_EXACTFINALTIME_MATCHSTEP && !ts->adapt) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Since TS is not adaptive you cannot use TS_EXACTFINALTIME_MATCHSTEP, suggest TS_EXACTFINALTIME_INTERPOLATE");
3853 
3854   if (!ts->steps) ts->ptime_prev = ts->ptime;
3855   ts->reason = TS_CONVERGED_ITERATING;
3856   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3857   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3858   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3859   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3860   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3861   ts->ptime_prev = ptime;
3862   ts->steps++; ts->total_steps++;
3863   ts->steprollback = PETSC_FALSE;
3864   ts->steprestart  = PETSC_FALSE;
3865 
3866   if (ts->reason < 0) {
3867     if (ts->errorifstepfailed) {
3868       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s, increase -ts_max_snes_failures or make negative to attempt recovery",TSConvergedReasons[ts->reason]);
3869       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3870     }
3871   } else if (!ts->reason) {
3872     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3873     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3874   }
3875   PetscFunctionReturn(0);
3876 }
3877 
3878 #undef __FUNCT__
3879 #define __FUNCT__ "TSAdjointStep"
3880 /*@
3881    TSAdjointStep - Steps one time step backward in the adjoint run
3882 
3883    Collective on TS
3884 
3885    Input Parameter:
3886 .  ts - the TS context obtained from TSCreate()
3887 
3888    Level: intermediate
3889 
3890 .keywords: TS, adjoint, step
3891 
3892 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3893 @*/
3894 PetscErrorCode  TSAdjointStep(TS ts)
3895 {
3896   DM               dm;
3897   PetscErrorCode   ierr;
3898 
3899   PetscFunctionBegin;
3900   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3901   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3902   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3903 
3904   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3905 
3906   ts->reason = TS_CONVERGED_ITERATING;
3907   ts->ptime_prev = ts->ptime;
3908   if (!ts->ops->adjointstep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed because the adjoint of  %s has not been implemented, try other time stepping methods for adjoint sensitivity analysis",((PetscObject)ts)->type_name);
3909   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3910   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3911   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3912   ts->steps++; ts->total_steps--;
3913 
3914   if (ts->reason < 0) {
3915     if (ts->errorifstepfailed) {
3916       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s, increase -ts_max_snes_failures or make negative to attempt recovery",TSConvergedReasons[ts->reason]);
3917       else if (ts->reason == TS_DIVERGED_STEP_REJECTED) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s, increase -ts_max_reject or make negative to attempt recovery",TSConvergedReasons[ts->reason]);
3918       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3919     }
3920   } else if (!ts->reason) {
3921     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3922   }
3923   PetscFunctionReturn(0);
3924 }
3925 
3926 #undef __FUNCT__
3927 #define __FUNCT__ "TSEvaluateWLTE"
3928 /*@
3929    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3930    at the end of a time step with a given order of accuracy.
3931 
3932    Collective on TS
3933 
3934    Input Arguments:
3935 +  ts - time stepping context
3936 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3937 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3938 
3939    Output Arguments:
3940 +  order - optional, the actual order of the error evaluation
3941 -  wlte - the weighted local truncation error norm
3942 
3943    Level: advanced
3944 
3945    Notes:
3946    If the timestepper cannot evaluate the error in a particular step
3947    (eg. in the first step or restart steps after event handling),
3948    this routine returns wlte=-1.0 .
3949 
3950 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3951 @*/
3952 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3953 {
3954   PetscErrorCode ierr;
3955 
3956   PetscFunctionBegin;
3957   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3958   PetscValidType(ts,1);
3959   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3960   if (order) PetscValidIntPointer(order,3);
3961   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3962   PetscValidRealPointer(wlte,4);
3963   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3964   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3965   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3966   PetscFunctionReturn(0);
3967 }
3968 
3969 #undef __FUNCT__
3970 #define __FUNCT__ "TSEvaluateStep"
3971 /*@
3972    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3973 
3974    Collective on TS
3975 
3976    Input Arguments:
3977 +  ts - time stepping context
3978 .  order - desired order of accuracy
3979 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3980 
3981    Output Arguments:
3982 .  U - state at the end of the current step
3983 
3984    Level: advanced
3985 
3986    Notes:
3987    This function cannot be called until all stages have been evaluated.
3988    It is normally called by adaptive controllers before a step has been accepted and may also be called by the user after TSStep() has returned.
3989 
3990 .seealso: TSStep(), TSAdapt
3991 @*/
3992 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3993 {
3994   PetscErrorCode ierr;
3995 
3996   PetscFunctionBegin;
3997   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3998   PetscValidType(ts,1);
3999   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
4000   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
4001   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
4002   PetscFunctionReturn(0);
4003 }
4004 
4005 #undef __FUNCT__
4006 #define __FUNCT__ "TSForwardCostIntegral"
4007 /*@
4008  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
4009 
4010  Collective on TS
4011 
4012  Input Arguments:
4013  .  ts - time stepping context
4014 
4015  Level: advanced
4016 
4017  Notes:
4018  This function cannot be called until TSStep() has been completed.
4019 
4020  .seealso: TSSolve(), TSAdjointCostIntegral()
4021  @*/
4022 PetscErrorCode TSForwardCostIntegral(TS ts)
4023 {
4024     PetscErrorCode ierr;
4025     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4026     if (!ts->ops->forwardintegral) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide integral evaluation in the forward run",((PetscObject)ts)->type_name);
4027     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
4028     PetscFunctionReturn(0);
4029 }
4030 
4031 #undef __FUNCT__
4032 #define __FUNCT__ "TSSolve"
4033 /*@
4034    TSSolve - Steps the requested number of timesteps.
4035 
4036    Collective on TS
4037 
4038    Input Parameter:
4039 +  ts - the TS context obtained from TSCreate()
4040 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
4041                              otherwise must contain the initial conditions and will contain the solution at the final requested time
4042 
4043    Level: beginner
4044 
4045    Notes:
4046    The final time returned by this function may be different from the time of the internally
4047    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4048    stepped over the final time.
4049 
4050 .keywords: TS, timestep, solve
4051 
4052 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4053 @*/
4054 PetscErrorCode TSSolve(TS ts,Vec u)
4055 {
4056   Vec               solution;
4057   PetscErrorCode    ierr;
4058 
4059   PetscFunctionBegin;
4060   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4061   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4062 
4063   if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE) {   /* Need ts->vec_sol to be distinct so it is not overwritten when we interpolate at the end */
4064     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4065     if (!ts->vec_sol || u == ts->vec_sol) {
4066       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4067       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4068       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4069     }
4070     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4071   } else if (u) {
4072     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4073   }
4074   ierr = TSSetUp(ts);CHKERRQ(ierr);
4075   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4076 
4077   if (ts->exact_final_time == TS_EXACTFINALTIME_UNSPECIFIED) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"You must call TSSetExactFinalTime() or use -ts_exact_final_time <stepover,interpolate,matchstep> before calling TSSolve()");
4078   if (ts->exact_final_time == TS_EXACTFINALTIME_MATCHSTEP && !ts->adapt) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Since TS is not adaptive you cannot use TS_EXACTFINALTIME_MATCHSTEP, suggest TS_EXACTFINALTIME_INTERPOLATE");
4079 
4080   /* reset time step and iteration counters */
4081   ts->steps             = 0;
4082   ts->ksp_its           = 0;
4083   ts->snes_its          = 0;
4084   ts->num_snes_failures = 0;
4085   ts->reject            = 0;
4086   ts->reason            = TS_CONVERGED_ITERATING;
4087 
4088   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4089 
4090   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4091     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4092     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4093     ts->solvetime = ts->ptime;
4094     solution = ts->vec_sol;
4095   } else { /* Step the requested number of timesteps. */
4096     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4097     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4098     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4099     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4100     ts->steprollback = PETSC_FALSE;
4101     ts->steprestart  = PETSC_TRUE;
4102 
4103     while (!ts->reason) {
4104       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4105       if (!ts->steprollback) {
4106         ierr = TSPreStep(ts);CHKERRQ(ierr);
4107       }
4108       ierr = TSStep(ts);CHKERRQ(ierr);
4109       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4110         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4111       }
4112       ierr = TSEventHandler(ts);CHKERRQ(ierr); /* The right-hand side may be changed due to event. Be careful with Any computation using the RHS information after this point. */
4113       if (!ts->steprollback) {
4114         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4115         ierr = TSPostStep(ts);CHKERRQ(ierr);
4116       }
4117     }
4118     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4119 
4120     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4121       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4122       ts->solvetime = ts->max_time;
4123       solution = u;
4124       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4125     } else {
4126       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4127       ts->solvetime = ts->ptime;
4128       solution = ts->vec_sol;
4129     }
4130   }
4131 
4132   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4133   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4134   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4135   if (ts->adjoint_solve) {
4136     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4137   }
4138   PetscFunctionReturn(0);
4139 }
4140 
4141 #undef __FUNCT__
4142 #define __FUNCT__ "TSAdjointCostIntegral"
4143 /*@
4144  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4145 
4146  Collective on TS
4147 
4148  Input Arguments:
4149  .  ts - time stepping context
4150 
4151  Level: advanced
4152 
4153  Notes:
4154  This function cannot be called until TSAdjointStep() has been completed.
4155 
4156  .seealso: TSAdjointSolve(), TSAdjointStep
4157  @*/
4158 PetscErrorCode TSAdjointCostIntegral(TS ts)
4159 {
4160     PetscErrorCode ierr;
4161     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4162     if (!ts->ops->adjointintegral) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide integral evaluation in the adjoint run",((PetscObject)ts)->type_name);
4163     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4164     PetscFunctionReturn(0);
4165 }
4166 
4167 #undef __FUNCT__
4168 #define __FUNCT__ "TSAdjointSolve"
4169 /*@
4170    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4171 
4172    Collective on TS
4173 
4174    Input Parameter:
4175 .  ts - the TS context obtained from TSCreate()
4176 
4177    Options Database:
4178 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4179 
4180    Level: intermediate
4181 
4182    Notes:
4183    This must be called after a call to TSSolve() that solves the forward problem
4184 
4185    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4186 
4187 .keywords: TS, timestep, solve
4188 
4189 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4190 @*/
4191 PetscErrorCode TSAdjointSolve(TS ts)
4192 {
4193   PetscErrorCode    ierr;
4194 
4195   PetscFunctionBegin;
4196   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4197   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4198 
4199   /* reset time step and iteration counters */
4200   ts->steps             = 0;
4201   ts->ksp_its           = 0;
4202   ts->snes_its          = 0;
4203   ts->num_snes_failures = 0;
4204   ts->reject            = 0;
4205   ts->reason            = TS_CONVERGED_ITERATING;
4206 
4207   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4208 
4209   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4210   while (!ts->reason) {
4211     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4212     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4213     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4214     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4215     if (ts->vec_costintegral && !ts->costintegralfwd) {
4216       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4217     }
4218   }
4219   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4220   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4221   ts->solvetime = ts->ptime;
4222   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4223   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4224   PetscFunctionReturn(0);
4225 }
4226 
4227 #undef __FUNCT__
4228 #define __FUNCT__ "TSMonitor"
4229 /*@C
4230    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4231 
4232    Collective on TS
4233 
4234    Input Parameters:
4235 +  ts - time stepping context obtained from TSCreate()
4236 .  step - step number that has just completed
4237 .  ptime - model time of the state
4238 -  u - state at the current model time
4239 
4240    Notes:
4241    TSMonitor() is typically used automatically within the time stepping implementations.
4242    Users would almost never call this routine directly.
4243 
4244    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4245 
4246    Level: developer
4247 
4248 .keywords: TS, timestep
4249 @*/
4250 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4251 {
4252   DM             dm;
4253   PetscInt       i,n = ts->numbermonitors;
4254   PetscErrorCode ierr;
4255 
4256   PetscFunctionBegin;
4257   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4258   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4259 
4260   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4261   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4262 
4263   ierr = VecLockPush(u);CHKERRQ(ierr);
4264   for (i=0; i<n; i++) {
4265     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4266   }
4267   ierr = VecLockPop(u);CHKERRQ(ierr);
4268   PetscFunctionReturn(0);
4269 }
4270 
4271 #undef __FUNCT__
4272 #define __FUNCT__ "TSAdjointMonitor"
4273 /*@C
4274    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4275 
4276    Collective on TS
4277 
4278    Input Parameters:
4279 +  ts - time stepping context obtained from TSCreate()
4280 .  step - step number that has just completed
4281 .  ptime - model time of the state
4282 .  u - state at the current model time
4283 .  numcost - number of cost functions (dimension of lambda  or mu)
4284 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4285 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4286 
4287    Notes:
4288    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4289    Users would almost never call this routine directly.
4290 
4291    Level: developer
4292 
4293 .keywords: TS, timestep
4294 @*/
4295 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4296 {
4297   PetscErrorCode ierr;
4298   PetscInt       i,n = ts->numberadjointmonitors;
4299 
4300   PetscFunctionBegin;
4301   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4302   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4303   ierr = VecLockPush(u);CHKERRQ(ierr);
4304   for (i=0; i<n; i++) {
4305     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4306   }
4307   ierr = VecLockPop(u);CHKERRQ(ierr);
4308   PetscFunctionReturn(0);
4309 }
4310 
4311 /* ------------------------------------------------------------------------*/
4312 #undef __FUNCT__
4313 #define __FUNCT__ "TSMonitorLGCtxCreate"
4314 /*@C
4315    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4316    TS to monitor the solution process graphically in various ways
4317 
4318    Collective on TS
4319 
4320    Input Parameters:
4321 +  host - the X display to open, or null for the local machine
4322 .  label - the title to put in the title bar
4323 .  x, y - the screen coordinates of the upper left coordinate of the window
4324 .  m, n - the screen width and height in pixels
4325 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4326 
4327    Output Parameter:
4328 .  ctx - the context
4329 
4330    Options Database Key:
4331 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4332 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4333 .  -ts_monitor_lg_error -  monitor the error
4334 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4335 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4336 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4337 
4338    Notes:
4339    Use TSMonitorLGCtxDestroy() to destroy.
4340 
4341    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4342 
4343    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4344    first argument (if that TS object does not have a TSMonitorLGCtx associated with it the function call is ignored) and the second takes a TSMonitorLGCtx object
4345    as the first argument.
4346 
4347    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4348 
4349 
4350    Level: intermediate
4351 
4352 .keywords: TS, monitor, line graph, residual
4353 
4354 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4355            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4356            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4357            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4358            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4359 
4360 @*/
4361 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4362 {
4363   PetscDraw      draw;
4364   PetscErrorCode ierr;
4365 
4366   PetscFunctionBegin;
4367   ierr = PetscNew(ctx);CHKERRQ(ierr);
4368   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4369   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4370   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4371   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4372   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4373   (*ctx)->howoften = howoften;
4374   PetscFunctionReturn(0);
4375 }
4376 
4377 #undef __FUNCT__
4378 #define __FUNCT__ "TSMonitorLGTimeStep"
4379 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4380 {
4381   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4382   PetscReal      x   = ptime,y;
4383   PetscErrorCode ierr;
4384 
4385   PetscFunctionBegin;
4386   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4387   if (!step) {
4388     PetscDrawAxis axis;
4389     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4390     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4391     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4392   }
4393   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4394   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4395   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4396     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4397     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4398   }
4399   PetscFunctionReturn(0);
4400 }
4401 
4402 #undef __FUNCT__
4403 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4404 /*@C
4405    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4406    with TSMonitorLGCtxCreate().
4407 
4408    Collective on TSMonitorLGCtx
4409 
4410    Input Parameter:
4411 .  ctx - the monitor context
4412 
4413    Level: intermediate
4414 
4415 .keywords: TS, monitor, line graph, destroy
4416 
4417 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4418 @*/
4419 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4420 {
4421   PetscErrorCode ierr;
4422 
4423   PetscFunctionBegin;
4424   if ((*ctx)->transformdestroy) {
4425     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4426   }
4427   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4428   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4429   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4430   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4431   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4432   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4433   PetscFunctionReturn(0);
4434 }
4435 
4436 #undef __FUNCT__
4437 #define __FUNCT__ "TSGetTime"
4438 /*@
4439    TSGetTime - Gets the time of the most recently completed step.
4440 
4441    Not Collective
4442 
4443    Input Parameter:
4444 .  ts - the TS context obtained from TSCreate()
4445 
4446    Output Parameter:
4447 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4448 
4449    Level: beginner
4450 
4451    Note:
4452    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4453    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4454 
4455 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4456 
4457 .keywords: TS, get, time
4458 @*/
4459 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4460 {
4461   PetscFunctionBegin;
4462   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4463   PetscValidRealPointer(t,2);
4464   *t = ts->ptime;
4465   PetscFunctionReturn(0);
4466 }
4467 
4468 #undef __FUNCT__
4469 #define __FUNCT__ "TSGetPrevTime"
4470 /*@
4471    TSGetPrevTime - Gets the starting time of the previously completed step.
4472 
4473    Not Collective
4474 
4475    Input Parameter:
4476 .  ts - the TS context obtained from TSCreate()
4477 
4478    Output Parameter:
4479 .  t  - the previous time
4480 
4481    Level: beginner
4482 
4483 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4484 
4485 .keywords: TS, get, time
4486 @*/
4487 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4488 {
4489   PetscFunctionBegin;
4490   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4491   PetscValidRealPointer(t,2);
4492   *t = ts->ptime_prev;
4493   PetscFunctionReturn(0);
4494 }
4495 
4496 #undef __FUNCT__
4497 #define __FUNCT__ "TSSetTime"
4498 /*@
4499    TSSetTime - Allows one to reset the time.
4500 
4501    Logically Collective on TS
4502 
4503    Input Parameters:
4504 +  ts - the TS context obtained from TSCreate()
4505 -  time - the time
4506 
4507    Level: intermediate
4508 
4509 .seealso: TSGetTime(), TSSetDuration()
4510 
4511 .keywords: TS, set, time
4512 @*/
4513 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4514 {
4515   PetscFunctionBegin;
4516   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4517   PetscValidLogicalCollectiveReal(ts,t,2);
4518   ts->ptime = t;
4519   PetscFunctionReturn(0);
4520 }
4521 
4522 #undef __FUNCT__
4523 #define __FUNCT__ "TSSetOptionsPrefix"
4524 /*@C
4525    TSSetOptionsPrefix - Sets the prefix used for searching for all
4526    TS options in the database.
4527 
4528    Logically Collective on TS
4529 
4530    Input Parameter:
4531 +  ts     - The TS context
4532 -  prefix - The prefix to prepend to all option names
4533 
4534    Notes:
4535    A hyphen (-) must NOT be given at the beginning of the prefix name.
4536    The first character of all runtime options is AUTOMATICALLY the
4537    hyphen.
4538 
4539    Level: advanced
4540 
4541 .keywords: TS, set, options, prefix, database
4542 
4543 .seealso: TSSetFromOptions()
4544 
4545 @*/
4546 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4547 {
4548   PetscErrorCode ierr;
4549   SNES           snes;
4550 
4551   PetscFunctionBegin;
4552   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4553   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4554   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4555   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4556   PetscFunctionReturn(0);
4557 }
4558 
4559 
4560 #undef __FUNCT__
4561 #define __FUNCT__ "TSAppendOptionsPrefix"
4562 /*@C
4563    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4564    TS options in the database.
4565 
4566    Logically Collective on TS
4567 
4568    Input Parameter:
4569 +  ts     - The TS context
4570 -  prefix - The prefix to prepend to all option names
4571 
4572    Notes:
4573    A hyphen (-) must NOT be given at the beginning of the prefix name.
4574    The first character of all runtime options is AUTOMATICALLY the
4575    hyphen.
4576 
4577    Level: advanced
4578 
4579 .keywords: TS, append, options, prefix, database
4580 
4581 .seealso: TSGetOptionsPrefix()
4582 
4583 @*/
4584 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4585 {
4586   PetscErrorCode ierr;
4587   SNES           snes;
4588 
4589   PetscFunctionBegin;
4590   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4591   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4592   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4593   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4594   PetscFunctionReturn(0);
4595 }
4596 
4597 #undef __FUNCT__
4598 #define __FUNCT__ "TSGetOptionsPrefix"
4599 /*@C
4600    TSGetOptionsPrefix - Sets the prefix used for searching for all
4601    TS options in the database.
4602 
4603    Not Collective
4604 
4605    Input Parameter:
4606 .  ts - The TS context
4607 
4608    Output Parameter:
4609 .  prefix - A pointer to the prefix string used
4610 
4611    Notes: On the fortran side, the user should pass in a string 'prifix' of
4612    sufficient length to hold the prefix.
4613 
4614    Level: intermediate
4615 
4616 .keywords: TS, get, options, prefix, database
4617 
4618 .seealso: TSAppendOptionsPrefix()
4619 @*/
4620 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4621 {
4622   PetscErrorCode ierr;
4623 
4624   PetscFunctionBegin;
4625   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4626   PetscValidPointer(prefix,2);
4627   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4628   PetscFunctionReturn(0);
4629 }
4630 
4631 #undef __FUNCT__
4632 #define __FUNCT__ "TSGetRHSJacobian"
4633 /*@C
4634    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4635 
4636    Not Collective, but parallel objects are returned if TS is parallel
4637 
4638    Input Parameter:
4639 .  ts  - The TS context obtained from TSCreate()
4640 
4641    Output Parameters:
4642 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4643 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4644 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4645 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4646 
4647    Notes: You can pass in NULL for any return argument you do not need.
4648 
4649    Level: intermediate
4650 
4651 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4652 
4653 .keywords: TS, timestep, get, matrix, Jacobian
4654 @*/
4655 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4656 {
4657   PetscErrorCode ierr;
4658   SNES           snes;
4659   DM             dm;
4660 
4661   PetscFunctionBegin;
4662   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4663   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4664   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4665   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4666   PetscFunctionReturn(0);
4667 }
4668 
4669 #undef __FUNCT__
4670 #define __FUNCT__ "TSGetIJacobian"
4671 /*@C
4672    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4673 
4674    Not Collective, but parallel objects are returned if TS is parallel
4675 
4676    Input Parameter:
4677 .  ts  - The TS context obtained from TSCreate()
4678 
4679    Output Parameters:
4680 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4681 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4682 .  f   - The function to compute the matrices
4683 - ctx - User-defined context for Jacobian evaluation routine
4684 
4685    Notes: You can pass in NULL for any return argument you do not need.
4686 
4687    Level: advanced
4688 
4689 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4690 
4691 .keywords: TS, timestep, get, matrix, Jacobian
4692 @*/
4693 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4694 {
4695   PetscErrorCode ierr;
4696   SNES           snes;
4697   DM             dm;
4698 
4699   PetscFunctionBegin;
4700   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4701   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4702   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4703   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4704   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4705   PetscFunctionReturn(0);
4706 }
4707 
4708 
4709 #undef __FUNCT__
4710 #define __FUNCT__ "TSMonitorDrawSolution"
4711 /*@C
4712    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4713    VecView() for the solution at each timestep
4714 
4715    Collective on TS
4716 
4717    Input Parameters:
4718 +  ts - the TS context
4719 .  step - current time-step
4720 .  ptime - current time
4721 -  dummy - either a viewer or NULL
4722 
4723    Options Database:
4724 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4725 
4726    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4727        will look bad
4728 
4729    Level: intermediate
4730 
4731 .keywords: TS,  vector, monitor, view
4732 
4733 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4734 @*/
4735 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4736 {
4737   PetscErrorCode   ierr;
4738   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4739   PetscDraw        draw;
4740 
4741   PetscFunctionBegin;
4742   if (!step && ictx->showinitial) {
4743     if (!ictx->initialsolution) {
4744       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4745     }
4746     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4747   }
4748   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4749 
4750   if (ictx->showinitial) {
4751     PetscReal pause;
4752     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4753     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4754     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4755     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4756     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4757   }
4758   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4759   if (ictx->showtimestepandtime) {
4760     PetscReal xl,yl,xr,yr,h;
4761     char      time[32];
4762 
4763     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4764     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4765     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4766     h    = yl + .95*(yr - yl);
4767     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4768     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4769   }
4770 
4771   if (ictx->showinitial) {
4772     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4773   }
4774   PetscFunctionReturn(0);
4775 }
4776 
4777 #undef __FUNCT__
4778 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4779 /*@C
4780    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4781    VecView() for the sensitivities to initial states at each timestep
4782 
4783    Collective on TS
4784 
4785    Input Parameters:
4786 +  ts - the TS context
4787 .  step - current time-step
4788 .  ptime - current time
4789 .  u - current state
4790 .  numcost - number of cost functions
4791 .  lambda - sensitivities to initial conditions
4792 .  mu - sensitivities to parameters
4793 -  dummy - either a viewer or NULL
4794 
4795    Level: intermediate
4796 
4797 .keywords: TS,  vector, adjoint, monitor, view
4798 
4799 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4800 @*/
4801 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4802 {
4803   PetscErrorCode   ierr;
4804   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4805   PetscDraw        draw;
4806   PetscReal        xl,yl,xr,yr,h;
4807   char             time[32];
4808 
4809   PetscFunctionBegin;
4810   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4811 
4812   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4813   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4814   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4815   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4816   h    = yl + .95*(yr - yl);
4817   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4818   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4819   PetscFunctionReturn(0);
4820 }
4821 
4822 #undef __FUNCT__
4823 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4824 /*@C
4825    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4826 
4827    Collective on TS
4828 
4829    Input Parameters:
4830 +  ts - the TS context
4831 .  step - current time-step
4832 .  ptime - current time
4833 -  dummy - either a viewer or NULL
4834 
4835    Level: intermediate
4836 
4837 .keywords: TS,  vector, monitor, view
4838 
4839 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4840 @*/
4841 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4842 {
4843   PetscErrorCode    ierr;
4844   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4845   PetscDraw         draw;
4846   PetscDrawAxis     axis;
4847   PetscInt          n;
4848   PetscMPIInt       size;
4849   PetscReal         U0,U1,xl,yl,xr,yr,h;
4850   char              time[32];
4851   const PetscScalar *U;
4852 
4853   PetscFunctionBegin;
4854   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4855   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4856   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4857   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4858 
4859   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4860   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4861   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4862   if (!step) {
4863     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4864     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4865   }
4866 
4867   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4868   U0 = PetscRealPart(U[0]);
4869   U1 = PetscRealPart(U[1]);
4870   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4871   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4872 
4873   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4874   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4875   if (ictx->showtimestepandtime) {
4876     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4877     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4878     h    = yl + .95*(yr - yl);
4879     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4880   }
4881   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4882   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4883   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4884   PetscFunctionReturn(0);
4885 }
4886 
4887 
4888 #undef __FUNCT__
4889 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4890 /*@C
4891    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4892 
4893    Collective on TS
4894 
4895    Input Parameters:
4896 .    ctx - the monitor context
4897 
4898    Level: intermediate
4899 
4900 .keywords: TS,  vector, monitor, view
4901 
4902 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4903 @*/
4904 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4905 {
4906   PetscErrorCode ierr;
4907 
4908   PetscFunctionBegin;
4909   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4910   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4911   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4912   PetscFunctionReturn(0);
4913 }
4914 
4915 #undef __FUNCT__
4916 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4917 /*@C
4918    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4919 
4920    Collective on TS
4921 
4922    Input Parameter:
4923 .    ts - time-step context
4924 
4925    Output Patameter:
4926 .    ctx - the monitor context
4927 
4928    Options Database:
4929 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4930 
4931    Level: intermediate
4932 
4933 .keywords: TS,  vector, monitor, view
4934 
4935 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4936 @*/
4937 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4938 {
4939   PetscErrorCode   ierr;
4940 
4941   PetscFunctionBegin;
4942   ierr = PetscNew(ctx);CHKERRQ(ierr);
4943   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4944   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4945 
4946   (*ctx)->howoften    = howoften;
4947   (*ctx)->showinitial = PETSC_FALSE;
4948   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4949 
4950   (*ctx)->showtimestepandtime = PETSC_FALSE;
4951   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4952   PetscFunctionReturn(0);
4953 }
4954 
4955 #undef __FUNCT__
4956 #define __FUNCT__ "TSMonitorDrawError"
4957 /*@C
4958    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4959    VecView() for the error at each timestep
4960 
4961    Collective on TS
4962 
4963    Input Parameters:
4964 +  ts - the TS context
4965 .  step - current time-step
4966 .  ptime - current time
4967 -  dummy - either a viewer or NULL
4968 
4969    Level: intermediate
4970 
4971 .keywords: TS,  vector, monitor, view
4972 
4973 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4974 @*/
4975 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4976 {
4977   PetscErrorCode   ierr;
4978   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4979   PetscViewer      viewer = ctx->viewer;
4980   Vec              work;
4981 
4982   PetscFunctionBegin;
4983   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4984   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4985   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4986   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4987   ierr = VecView(work,viewer);CHKERRQ(ierr);
4988   ierr = VecDestroy(&work);CHKERRQ(ierr);
4989   PetscFunctionReturn(0);
4990 }
4991 
4992 #include <petsc/private/dmimpl.h>
4993 #undef __FUNCT__
4994 #define __FUNCT__ "TSSetDM"
4995 /*@
4996    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
4997 
4998    Logically Collective on TS and DM
4999 
5000    Input Parameters:
5001 +  ts - the ODE integrator object
5002 -  dm - the dm, cannot be NULL
5003 
5004    Level: intermediate
5005 
5006 
5007 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
5008 @*/
5009 PetscErrorCode  TSSetDM(TS ts,DM dm)
5010 {
5011   PetscErrorCode ierr;
5012   SNES           snes;
5013   DMTS           tsdm;
5014 
5015   PetscFunctionBegin;
5016   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5017   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
5018   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
5019   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
5020     if (ts->dm->dmts && !dm->dmts) {
5021       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
5022       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
5023       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
5024         tsdm->originaldm = dm;
5025       }
5026     }
5027     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
5028   }
5029   ts->dm = dm;
5030 
5031   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5032   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
5033   PetscFunctionReturn(0);
5034 }
5035 
5036 #undef __FUNCT__
5037 #define __FUNCT__ "TSGetDM"
5038 /*@
5039    TSGetDM - Gets the DM that may be used by some preconditioners
5040 
5041    Not Collective
5042 
5043    Input Parameter:
5044 . ts - the preconditioner context
5045 
5046    Output Parameter:
5047 .  dm - the dm
5048 
5049    Level: intermediate
5050 
5051 
5052 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5053 @*/
5054 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5055 {
5056   PetscErrorCode ierr;
5057 
5058   PetscFunctionBegin;
5059   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5060   if (!ts->dm) {
5061     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5062     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5063   }
5064   *dm = ts->dm;
5065   PetscFunctionReturn(0);
5066 }
5067 
5068 #undef __FUNCT__
5069 #define __FUNCT__ "SNESTSFormFunction"
5070 /*@
5071    SNESTSFormFunction - Function to evaluate nonlinear residual
5072 
5073    Logically Collective on SNES
5074 
5075    Input Parameter:
5076 + snes - nonlinear solver
5077 . U - the current state at which to evaluate the residual
5078 - ctx - user context, must be a TS
5079 
5080    Output Parameter:
5081 . F - the nonlinear residual
5082 
5083    Notes:
5084    This function is not normally called by users and is automatically registered with the SNES used by TS.
5085    It is most frequently passed to MatFDColoringSetFunction().
5086 
5087    Level: advanced
5088 
5089 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5090 @*/
5091 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5092 {
5093   TS             ts = (TS)ctx;
5094   PetscErrorCode ierr;
5095 
5096   PetscFunctionBegin;
5097   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5098   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5099   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5100   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5101   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5102   PetscFunctionReturn(0);
5103 }
5104 
5105 #undef __FUNCT__
5106 #define __FUNCT__ "SNESTSFormJacobian"
5107 /*@
5108    SNESTSFormJacobian - Function to evaluate the Jacobian
5109 
5110    Collective on SNES
5111 
5112    Input Parameter:
5113 + snes - nonlinear solver
5114 . U - the current state at which to evaluate the residual
5115 - ctx - user context, must be a TS
5116 
5117    Output Parameter:
5118 + A - the Jacobian
5119 . B - the preconditioning matrix (may be the same as A)
5120 - flag - indicates any structure change in the matrix
5121 
5122    Notes:
5123    This function is not normally called by users and is automatically registered with the SNES used by TS.
5124 
5125    Level: developer
5126 
5127 .seealso: SNESSetJacobian()
5128 @*/
5129 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5130 {
5131   TS             ts = (TS)ctx;
5132   PetscErrorCode ierr;
5133 
5134   PetscFunctionBegin;
5135   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5136   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5137   PetscValidPointer(A,3);
5138   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5139   PetscValidPointer(B,4);
5140   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5141   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5142   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5143   PetscFunctionReturn(0);
5144 }
5145 
5146 #undef __FUNCT__
5147 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5148 /*@C
5149    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5150 
5151    Collective on TS
5152 
5153    Input Arguments:
5154 +  ts - time stepping context
5155 .  t - time at which to evaluate
5156 .  U - state at which to evaluate
5157 -  ctx - context
5158 
5159    Output Arguments:
5160 .  F - right hand side
5161 
5162    Level: intermediate
5163 
5164    Notes:
5165    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5166    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5167 
5168 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5169 @*/
5170 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5171 {
5172   PetscErrorCode ierr;
5173   Mat            Arhs,Brhs;
5174 
5175   PetscFunctionBegin;
5176   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5177   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5178   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5179   PetscFunctionReturn(0);
5180 }
5181 
5182 #undef __FUNCT__
5183 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5184 /*@C
5185    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5186 
5187    Collective on TS
5188 
5189    Input Arguments:
5190 +  ts - time stepping context
5191 .  t - time at which to evaluate
5192 .  U - state at which to evaluate
5193 -  ctx - context
5194 
5195    Output Arguments:
5196 +  A - pointer to operator
5197 .  B - pointer to preconditioning matrix
5198 -  flg - matrix structure flag
5199 
5200    Level: intermediate
5201 
5202    Notes:
5203    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5204 
5205 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5206 @*/
5207 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5208 {
5209   PetscFunctionBegin;
5210   PetscFunctionReturn(0);
5211 }
5212 
5213 #undef __FUNCT__
5214 #define __FUNCT__ "TSComputeIFunctionLinear"
5215 /*@C
5216    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5217 
5218    Collective on TS
5219 
5220    Input Arguments:
5221 +  ts - time stepping context
5222 .  t - time at which to evaluate
5223 .  U - state at which to evaluate
5224 .  Udot - time derivative of state vector
5225 -  ctx - context
5226 
5227    Output Arguments:
5228 .  F - left hand side
5229 
5230    Level: intermediate
5231 
5232    Notes:
5233    The assumption here is that the left hand side is of the form A*Udot (and not A*Udot + B*U). For other cases, the
5234    user is required to write their own TSComputeIFunction.
5235    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5236    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5237 
5238    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5239 
5240 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5241 @*/
5242 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5243 {
5244   PetscErrorCode ierr;
5245   Mat            A,B;
5246 
5247   PetscFunctionBegin;
5248   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5249   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5250   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5251   PetscFunctionReturn(0);
5252 }
5253 
5254 #undef __FUNCT__
5255 #define __FUNCT__ "TSComputeIJacobianConstant"
5256 /*@C
5257    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5258 
5259    Collective on TS
5260 
5261    Input Arguments:
5262 +  ts - time stepping context
5263 .  t - time at which to evaluate
5264 .  U - state at which to evaluate
5265 .  Udot - time derivative of state vector
5266 .  shift - shift to apply
5267 -  ctx - context
5268 
5269    Output Arguments:
5270 +  A - pointer to operator
5271 .  B - pointer to preconditioning matrix
5272 -  flg - matrix structure flag
5273 
5274    Level: advanced
5275 
5276    Notes:
5277    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5278 
5279    It is only appropriate for problems of the form
5280 
5281 $     M Udot = F(U,t)
5282 
5283   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5284   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5285   an implicit operator of the form
5286 
5287 $    shift*M + J
5288 
5289   where J is the Jacobian of -F(U).  Support may be added in a future version of PETSc, but for now, the user must store
5290   a copy of M or reassemble it when requested.
5291 
5292 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5293 @*/
5294 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5295 {
5296   PetscErrorCode ierr;
5297 
5298   PetscFunctionBegin;
5299   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5300   ts->ijacobian.shift = shift;
5301   PetscFunctionReturn(0);
5302 }
5303 
5304 #undef __FUNCT__
5305 #define __FUNCT__ "TSGetEquationType"
5306 /*@
5307    TSGetEquationType - Gets the type of the equation that TS is solving.
5308 
5309    Not Collective
5310 
5311    Input Parameter:
5312 .  ts - the TS context
5313 
5314    Output Parameter:
5315 .  equation_type - see TSEquationType
5316 
5317    Level: beginner
5318 
5319 .keywords: TS, equation type
5320 
5321 .seealso: TSSetEquationType(), TSEquationType
5322 @*/
5323 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5324 {
5325   PetscFunctionBegin;
5326   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5327   PetscValidPointer(equation_type,2);
5328   *equation_type = ts->equation_type;
5329   PetscFunctionReturn(0);
5330 }
5331 
5332 #undef __FUNCT__
5333 #define __FUNCT__ "TSSetEquationType"
5334 /*@
5335    TSSetEquationType - Sets the type of the equation that TS is solving.
5336 
5337    Not Collective
5338 
5339    Input Parameter:
5340 +  ts - the TS context
5341 -  equation_type - see TSEquationType
5342 
5343    Level: advanced
5344 
5345 .keywords: TS, equation type
5346 
5347 .seealso: TSGetEquationType(), TSEquationType
5348 @*/
5349 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5350 {
5351   PetscFunctionBegin;
5352   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5353   ts->equation_type = equation_type;
5354   PetscFunctionReturn(0);
5355 }
5356 
5357 #undef __FUNCT__
5358 #define __FUNCT__ "TSGetConvergedReason"
5359 /*@
5360    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5361 
5362    Not Collective
5363 
5364    Input Parameter:
5365 .  ts - the TS context
5366 
5367    Output Parameter:
5368 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5369             manual pages for the individual convergence tests for complete lists
5370 
5371    Level: beginner
5372 
5373    Notes:
5374    Can only be called after the call to TSSolve() is complete.
5375 
5376 .keywords: TS, nonlinear, set, convergence, test
5377 
5378 .seealso: TSSetConvergenceTest(), TSConvergedReason
5379 @*/
5380 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5381 {
5382   PetscFunctionBegin;
5383   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5384   PetscValidPointer(reason,2);
5385   *reason = ts->reason;
5386   PetscFunctionReturn(0);
5387 }
5388 
5389 #undef __FUNCT__
5390 #define __FUNCT__ "TSSetConvergedReason"
5391 /*@
5392    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5393 
5394    Not Collective
5395 
5396    Input Parameter:
5397 +  ts - the TS context
5398 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5399             manual pages for the individual convergence tests for complete lists
5400 
5401    Level: advanced
5402 
5403    Notes:
5404    Can only be called during TSSolve() is active.
5405 
5406 .keywords: TS, nonlinear, set, convergence, test
5407 
5408 .seealso: TSConvergedReason
5409 @*/
5410 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5411 {
5412   PetscFunctionBegin;
5413   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5414   ts->reason = reason;
5415   PetscFunctionReturn(0);
5416 }
5417 
5418 #undef __FUNCT__
5419 #define __FUNCT__ "TSGetSolveTime"
5420 /*@
5421    TSGetSolveTime - Gets the time after a call to TSSolve()
5422 
5423    Not Collective
5424 
5425    Input Parameter:
5426 .  ts - the TS context
5427 
5428    Output Parameter:
5429 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5430 
5431    Level: beginner
5432 
5433    Notes:
5434    Can only be called after the call to TSSolve() is complete.
5435 
5436 .keywords: TS, nonlinear, set, convergence, test
5437 
5438 .seealso: TSSetConvergenceTest(), TSConvergedReason
5439 @*/
5440 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5441 {
5442   PetscFunctionBegin;
5443   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5444   PetscValidPointer(ftime,2);
5445   *ftime = ts->solvetime;
5446   PetscFunctionReturn(0);
5447 }
5448 
5449 #undef __FUNCT__
5450 #define __FUNCT__ "TSGetTotalSteps"
5451 /*@
5452    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5453 
5454    Not Collective
5455 
5456    Input Parameter:
5457 .  ts - the TS context
5458 
5459    Output Parameter:
5460 .  steps - the number of steps
5461 
5462    Level: beginner
5463 
5464    Notes:
5465    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5466 
5467 .keywords: TS, nonlinear, set, convergence, test
5468 
5469 .seealso: TSSetConvergenceTest(), TSConvergedReason
5470 @*/
5471 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5472 {
5473   PetscFunctionBegin;
5474   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5475   PetscValidPointer(steps,2);
5476   *steps = ts->total_steps;
5477   PetscFunctionReturn(0);
5478 }
5479 
5480 #undef __FUNCT__
5481 #define __FUNCT__ "TSGetSNESIterations"
5482 /*@
5483    TSGetSNESIterations - Gets the total number of nonlinear iterations
5484    used by the time integrator.
5485 
5486    Not Collective
5487 
5488    Input Parameter:
5489 .  ts - TS context
5490 
5491    Output Parameter:
5492 .  nits - number of nonlinear iterations
5493 
5494    Notes:
5495    This counter is reset to zero for each successive call to TSSolve().
5496 
5497    Level: intermediate
5498 
5499 .keywords: TS, get, number, nonlinear, iterations
5500 
5501 .seealso:  TSGetKSPIterations()
5502 @*/
5503 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5504 {
5505   PetscFunctionBegin;
5506   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5507   PetscValidIntPointer(nits,2);
5508   *nits = ts->snes_its;
5509   PetscFunctionReturn(0);
5510 }
5511 
5512 #undef __FUNCT__
5513 #define __FUNCT__ "TSGetKSPIterations"
5514 /*@
5515    TSGetKSPIterations - Gets the total number of linear iterations
5516    used by the time integrator.
5517 
5518    Not Collective
5519 
5520    Input Parameter:
5521 .  ts - TS context
5522 
5523    Output Parameter:
5524 .  lits - number of linear iterations
5525 
5526    Notes:
5527    This counter is reset to zero for each successive call to TSSolve().
5528 
5529    Level: intermediate
5530 
5531 .keywords: TS, get, number, linear, iterations
5532 
5533 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5534 @*/
5535 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5536 {
5537   PetscFunctionBegin;
5538   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5539   PetscValidIntPointer(lits,2);
5540   *lits = ts->ksp_its;
5541   PetscFunctionReturn(0);
5542 }
5543 
5544 #undef __FUNCT__
5545 #define __FUNCT__ "TSGetStepRejections"
5546 /*@
5547    TSGetStepRejections - Gets the total number of rejected steps.
5548 
5549    Not Collective
5550 
5551    Input Parameter:
5552 .  ts - TS context
5553 
5554    Output Parameter:
5555 .  rejects - number of steps rejected
5556 
5557    Notes:
5558    This counter is reset to zero for each successive call to TSSolve().
5559 
5560    Level: intermediate
5561 
5562 .keywords: TS, get, number
5563 
5564 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5565 @*/
5566 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5567 {
5568   PetscFunctionBegin;
5569   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5570   PetscValidIntPointer(rejects,2);
5571   *rejects = ts->reject;
5572   PetscFunctionReturn(0);
5573 }
5574 
5575 #undef __FUNCT__
5576 #define __FUNCT__ "TSGetSNESFailures"
5577 /*@
5578    TSGetSNESFailures - Gets the total number of failed SNES solves
5579 
5580    Not Collective
5581 
5582    Input Parameter:
5583 .  ts - TS context
5584 
5585    Output Parameter:
5586 .  fails - number of failed nonlinear solves
5587 
5588    Notes:
5589    This counter is reset to zero for each successive call to TSSolve().
5590 
5591    Level: intermediate
5592 
5593 .keywords: TS, get, number
5594 
5595 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5596 @*/
5597 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5598 {
5599   PetscFunctionBegin;
5600   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5601   PetscValidIntPointer(fails,2);
5602   *fails = ts->num_snes_failures;
5603   PetscFunctionReturn(0);
5604 }
5605 
5606 #undef __FUNCT__
5607 #define __FUNCT__ "TSSetMaxStepRejections"
5608 /*@
5609    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5610 
5611    Not Collective
5612 
5613    Input Parameter:
5614 +  ts - TS context
5615 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5616 
5617    Notes:
5618    The counter is reset to zero for each step
5619 
5620    Options Database Key:
5621  .  -ts_max_reject - Maximum number of step rejections before a step fails
5622 
5623    Level: intermediate
5624 
5625 .keywords: TS, set, maximum, number
5626 
5627 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5628 @*/
5629 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5630 {
5631   PetscFunctionBegin;
5632   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5633   ts->max_reject = rejects;
5634   PetscFunctionReturn(0);
5635 }
5636 
5637 #undef __FUNCT__
5638 #define __FUNCT__ "TSSetMaxSNESFailures"
5639 /*@
5640    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5641 
5642    Not Collective
5643 
5644    Input Parameter:
5645 +  ts - TS context
5646 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5647 
5648    Notes:
5649    The counter is reset to zero for each successive call to TSSolve().
5650 
5651    Options Database Key:
5652  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5653 
5654    Level: intermediate
5655 
5656 .keywords: TS, set, maximum, number
5657 
5658 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5659 @*/
5660 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5661 {
5662   PetscFunctionBegin;
5663   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5664   ts->max_snes_failures = fails;
5665   PetscFunctionReturn(0);
5666 }
5667 
5668 #undef __FUNCT__
5669 #define __FUNCT__ "TSSetErrorIfStepFails"
5670 /*@
5671    TSSetErrorIfStepFails - Error if no step succeeds
5672 
5673    Not Collective
5674 
5675    Input Parameter:
5676 +  ts - TS context
5677 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5678 
5679    Options Database Key:
5680  .  -ts_error_if_step_fails - Error if no step succeeds
5681 
5682    Level: intermediate
5683 
5684 .keywords: TS, set, error
5685 
5686 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5687 @*/
5688 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5689 {
5690   PetscFunctionBegin;
5691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5692   ts->errorifstepfailed = err;
5693   PetscFunctionReturn(0);
5694 }
5695 
5696 #undef __FUNCT__
5697 #define __FUNCT__ "TSMonitorSolution"
5698 /*@C
5699    TSMonitorSolution - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file or a PetscDraw object
5700 
5701    Collective on TS
5702 
5703    Input Parameters:
5704 +  ts - the TS context
5705 .  step - current time-step
5706 .  ptime - current time
5707 .  u - current state
5708 -  vf - viewer and its format
5709 
5710    Level: intermediate
5711 
5712 .keywords: TS,  vector, monitor, view
5713 
5714 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5715 @*/
5716 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5717 {
5718   PetscErrorCode ierr;
5719 
5720   PetscFunctionBegin;
5721   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5722   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5723   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5724   PetscFunctionReturn(0);
5725 }
5726 
5727 #undef __FUNCT__
5728 #define __FUNCT__ "TSMonitorSolutionVTK"
5729 /*@C
5730    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5731 
5732    Collective on TS
5733 
5734    Input Parameters:
5735 +  ts - the TS context
5736 .  step - current time-step
5737 .  ptime - current time
5738 .  u - current state
5739 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5740 
5741    Level: intermediate
5742 
5743    Notes:
5744    The VTK format does not allow writing multiple time steps in the same file, therefore a different file will be written for each time step.
5745    These are named according to the file name template.
5746 
5747    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5748 
5749 .keywords: TS,  vector, monitor, view
5750 
5751 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5752 @*/
5753 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5754 {
5755   PetscErrorCode ierr;
5756   char           filename[PETSC_MAX_PATH_LEN];
5757   PetscViewer    viewer;
5758 
5759   PetscFunctionBegin;
5760   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5761   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5762   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5763   ierr = VecView(u,viewer);CHKERRQ(ierr);
5764   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5765   PetscFunctionReturn(0);
5766 }
5767 
5768 #undef __FUNCT__
5769 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5770 /*@C
5771    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5772 
5773    Collective on TS
5774 
5775    Input Parameters:
5776 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5777 
5778    Level: intermediate
5779 
5780    Note:
5781    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5782 
5783 .keywords: TS,  vector, monitor, view
5784 
5785 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5786 @*/
5787 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5788 {
5789   PetscErrorCode ierr;
5790 
5791   PetscFunctionBegin;
5792   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5793   PetscFunctionReturn(0);
5794 }
5795 
5796 #undef __FUNCT__
5797 #define __FUNCT__ "TSGetAdapt"
5798 /*@
5799    TSGetAdapt - Get the adaptive controller context for the current method
5800 
5801    Collective on TS if controller has not been created yet
5802 
5803    Input Arguments:
5804 .  ts - time stepping context
5805 
5806    Output Arguments:
5807 .  adapt - adaptive controller
5808 
5809    Level: intermediate
5810 
5811 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5812 @*/
5813 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5814 {
5815   PetscErrorCode ierr;
5816 
5817   PetscFunctionBegin;
5818   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5819   PetscValidPointer(adapt,2);
5820   if (!ts->adapt) {
5821     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5822     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5823     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5824   }
5825   *adapt = ts->adapt;
5826   PetscFunctionReturn(0);
5827 }
5828 
5829 #undef __FUNCT__
5830 #define __FUNCT__ "TSSetTolerances"
5831 /*@
5832    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5833 
5834    Logically Collective
5835 
5836    Input Arguments:
5837 +  ts - time integration context
5838 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5839 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5840 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5841 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5842 
5843    Options Database keys:
5844 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5845 -  -ts_atol <atol> Absolute tolerance for local truncation error
5846 
5847    Notes:
5848    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5849    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5850    computed only for the differential or the algebraic part then this can be done using the vector of
5851    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5852    differential part and infinity for the algebraic part, the LTE calculation will include only the
5853    differential variables.
5854 
5855    Level: beginner
5856 
5857 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5858 @*/
5859 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5860 {
5861   PetscErrorCode ierr;
5862 
5863   PetscFunctionBegin;
5864   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5865   if (vatol) {
5866     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5867     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5868     ts->vatol = vatol;
5869   }
5870   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5871   if (vrtol) {
5872     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5873     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5874     ts->vrtol = vrtol;
5875   }
5876   PetscFunctionReturn(0);
5877 }
5878 
5879 #undef __FUNCT__
5880 #define __FUNCT__ "TSGetTolerances"
5881 /*@
5882    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5883 
5884    Logically Collective
5885 
5886    Input Arguments:
5887 .  ts - time integration context
5888 
5889    Output Arguments:
5890 +  atol - scalar absolute tolerances, NULL to ignore
5891 .  vatol - vector of absolute tolerances, NULL to ignore
5892 .  rtol - scalar relative tolerances, NULL to ignore
5893 -  vrtol - vector of relative tolerances, NULL to ignore
5894 
5895    Level: beginner
5896 
5897 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5898 @*/
5899 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5900 {
5901   PetscFunctionBegin;
5902   if (atol)  *atol  = ts->atol;
5903   if (vatol) *vatol = ts->vatol;
5904   if (rtol)  *rtol  = ts->rtol;
5905   if (vrtol) *vrtol = ts->vrtol;
5906   PetscFunctionReturn(0);
5907 }
5908 
5909 #undef __FUNCT__
5910 #define __FUNCT__ "TSErrorWeightedNorm2"
5911 /*@
5912    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5913 
5914    Collective on TS
5915 
5916    Input Arguments:
5917 +  ts - time stepping context
5918 .  U - state vector, usually ts->vec_sol
5919 -  Y - state vector to be compared to U
5920 
5921    Output Arguments:
5922 .  norm - weighted norm, a value of 1.0 is considered small
5923 
5924    Level: developer
5925 
5926 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5927 @*/
5928 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5929 {
5930   PetscErrorCode    ierr;
5931   PetscInt          i,n,N,rstart;
5932   const PetscScalar *u,*y;
5933   PetscReal         sum,gsum;
5934   PetscReal         tol;
5935 
5936   PetscFunctionBegin;
5937   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5938   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5939   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5940   PetscValidType(U,2);
5941   PetscValidType(Y,3);
5942   PetscCheckSameComm(U,2,Y,3);
5943   PetscValidPointer(norm,4);
5944   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5945 
5946   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5947   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5948   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5949   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5950   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5951   sum  = 0.;
5952   if (ts->vatol && ts->vrtol) {
5953     const PetscScalar *atol,*rtol;
5954     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5955     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5956     for (i=0; i<n; i++) {
5957       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5958       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5959     }
5960     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5961     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5962   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5963     const PetscScalar *atol;
5964     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5965     for (i=0; i<n; i++) {
5966       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5967       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5968     }
5969     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5970   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5971     const PetscScalar *rtol;
5972     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5973     for (i=0; i<n; i++) {
5974       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5975       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5976     }
5977     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5978   } else {                      /* scalar atol, scalar rtol */
5979     for (i=0; i<n; i++) {
5980       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5981       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5982     }
5983   }
5984   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5985   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5986 
5987   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5988   *norm = PetscSqrtReal(gsum / N);
5989 
5990   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5991   PetscFunctionReturn(0);
5992 }
5993 
5994 #undef __FUNCT__
5995 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5996 /*@
5997    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5998 
5999    Collective on TS
6000 
6001    Input Arguments:
6002 +  ts - time stepping context
6003 .  U - state vector, usually ts->vec_sol
6004 -  Y - state vector to be compared to U
6005 
6006    Output Arguments:
6007 .  norm - weighted norm, a value of 1.0 is considered small
6008 
6009    Level: developer
6010 
6011 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
6012 @*/
6013 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
6014 {
6015   PetscErrorCode    ierr;
6016   PetscInt          i,n,N,rstart,k;
6017   const PetscScalar *u,*y;
6018   PetscReal         max,gmax;
6019   PetscReal         tol;
6020 
6021   PetscFunctionBegin;
6022   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6023   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
6024   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
6025   PetscValidType(U,2);
6026   PetscValidType(Y,3);
6027   PetscCheckSameComm(U,2,Y,3);
6028   PetscValidPointer(norm,4);
6029   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
6030 
6031   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
6032   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
6033   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
6034   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
6035   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
6036   if (ts->vatol && ts->vrtol) {
6037     const PetscScalar *atol,*rtol;
6038     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6039     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6040     k = 0;
6041     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6042     max = PetscAbsScalar(y[k] - u[k]) / tol;
6043     for (i=1; i<n; i++) {
6044       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6045       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6046     }
6047     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6048     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6049   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6050     const PetscScalar *atol;
6051     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6052     k = 0;
6053     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6054     max = PetscAbsScalar(y[k] - u[k]) / tol;
6055     for (i=1; i<n; i++) {
6056       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6057       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6058     }
6059     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6060   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6061     const PetscScalar *rtol;
6062     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6063     k = 0;
6064     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6065     max = PetscAbsScalar(y[k] - u[k]) / tol;
6066     for (i=1; i<n; i++) {
6067       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6068       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6069     }
6070     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6071   } else {                      /* scalar atol, scalar rtol */
6072     k = 0;
6073     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6074     max = PetscAbsScalar(y[k] - u[k]) / tol;
6075     for (i=1; i<n; i++) {
6076       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6077       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6078     }
6079   }
6080   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6081   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6082 
6083   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6084   *norm = gmax;
6085 
6086   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6087   PetscFunctionReturn(0);
6088 }
6089 
6090 #undef __FUNCT__
6091 #define __FUNCT__ "TSErrorWeightedNorm"
6092 /*@
6093    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6094 
6095    Collective on TS
6096 
6097    Input Arguments:
6098 +  ts - time stepping context
6099 .  U - state vector, usually ts->vec_sol
6100 .  Y - state vector to be compared to U
6101 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6102 
6103    Output Arguments:
6104 .  norm - weighted norm, a value of 1.0 is considered small
6105 
6106 
6107    Options Database Keys:
6108 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6109 
6110    Level: developer
6111 
6112 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6113 @*/
6114 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
6115 {
6116   PetscErrorCode ierr;
6117 
6118   PetscFunctionBegin;
6119   if (wnormtype == NORM_2) {
6120     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6121   } else if(wnormtype == NORM_INFINITY) {
6122     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6123   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6124   PetscFunctionReturn(0);
6125 }
6126 
6127 #undef __FUNCT__
6128 #define __FUNCT__ "TSSetCFLTimeLocal"
6129 /*@
6130    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6131 
6132    Logically Collective on TS
6133 
6134    Input Arguments:
6135 +  ts - time stepping context
6136 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6137 
6138    Note:
6139    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6140 
6141    Level: intermediate
6142 
6143 .seealso: TSGetCFLTime(), TSADAPTCFL
6144 @*/
6145 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6146 {
6147   PetscFunctionBegin;
6148   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6149   ts->cfltime_local = cfltime;
6150   ts->cfltime       = -1.;
6151   PetscFunctionReturn(0);
6152 }
6153 
6154 #undef __FUNCT__
6155 #define __FUNCT__ "TSGetCFLTime"
6156 /*@
6157    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6158 
6159    Collective on TS
6160 
6161    Input Arguments:
6162 .  ts - time stepping context
6163 
6164    Output Arguments:
6165 .  cfltime - maximum stable time step for forward Euler
6166 
6167    Level: advanced
6168 
6169 .seealso: TSSetCFLTimeLocal()
6170 @*/
6171 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6172 {
6173   PetscErrorCode ierr;
6174 
6175   PetscFunctionBegin;
6176   if (ts->cfltime < 0) {
6177     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6178   }
6179   *cfltime = ts->cfltime;
6180   PetscFunctionReturn(0);
6181 }
6182 
6183 #undef __FUNCT__
6184 #define __FUNCT__ "TSVISetVariableBounds"
6185 /*@
6186    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6187 
6188    Input Parameters:
6189 .  ts   - the TS context.
6190 .  xl   - lower bound.
6191 .  xu   - upper bound.
6192 
6193    Notes:
6194    If this routine is not called then the lower and upper bounds are set to
6195    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6196 
6197    Level: advanced
6198 
6199 @*/
6200 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6201 {
6202   PetscErrorCode ierr;
6203   SNES           snes;
6204 
6205   PetscFunctionBegin;
6206   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6207   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6208   PetscFunctionReturn(0);
6209 }
6210 
6211 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6212 #include <mex.h>
6213 
6214 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6215 
6216 #undef __FUNCT__
6217 #define __FUNCT__ "TSComputeFunction_Matlab"
6218 /*
6219    TSComputeFunction_Matlab - Calls the function that has been set with
6220                          TSSetFunctionMatlab().
6221 
6222    Collective on TS
6223 
6224    Input Parameters:
6225 +  snes - the TS context
6226 -  u - input vector
6227 
6228    Output Parameter:
6229 .  y - function vector, as set by TSSetFunction()
6230 
6231    Notes:
6232    TSComputeFunction() is typically used within nonlinear solvers
6233    implementations, so most users would not generally call this routine
6234    themselves.
6235 
6236    Level: developer
6237 
6238 .keywords: TS, nonlinear, compute, function
6239 
6240 .seealso: TSSetFunction(), TSGetFunction()
6241 */
6242 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6243 {
6244   PetscErrorCode  ierr;
6245   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6246   int             nlhs  = 1,nrhs = 7;
6247   mxArray         *plhs[1],*prhs[7];
6248   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6249 
6250   PetscFunctionBegin;
6251   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6252   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6253   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6254   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6255   PetscCheckSameComm(snes,1,u,3);
6256   PetscCheckSameComm(snes,1,y,5);
6257 
6258   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6259   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6260   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6261   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6262 
6263   prhs[0] =  mxCreateDoubleScalar((double)ls);
6264   prhs[1] =  mxCreateDoubleScalar(time);
6265   prhs[2] =  mxCreateDoubleScalar((double)lx);
6266   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6267   prhs[4] =  mxCreateDoubleScalar((double)ly);
6268   prhs[5] =  mxCreateString(sctx->funcname);
6269   prhs[6] =  sctx->ctx;
6270   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6271   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6272   mxDestroyArray(prhs[0]);
6273   mxDestroyArray(prhs[1]);
6274   mxDestroyArray(prhs[2]);
6275   mxDestroyArray(prhs[3]);
6276   mxDestroyArray(prhs[4]);
6277   mxDestroyArray(prhs[5]);
6278   mxDestroyArray(plhs[0]);
6279   PetscFunctionReturn(0);
6280 }
6281 
6282 
6283 #undef __FUNCT__
6284 #define __FUNCT__ "TSSetFunctionMatlab"
6285 /*
6286    TSSetFunctionMatlab - Sets the function evaluation routine and function
6287    vector for use by the TS routines in solving ODEs
6288    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6289 
6290    Logically Collective on TS
6291 
6292    Input Parameters:
6293 +  ts - the TS context
6294 -  func - function evaluation routine
6295 
6296    Calling sequence of func:
6297 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6298 
6299    Level: beginner
6300 
6301 .keywords: TS, nonlinear, set, function
6302 
6303 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6304 */
6305 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6306 {
6307   PetscErrorCode  ierr;
6308   TSMatlabContext *sctx;
6309 
6310   PetscFunctionBegin;
6311   /* currently sctx is memory bleed */
6312   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6313   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6314   /*
6315      This should work, but it doesn't
6316   sctx->ctx = ctx;
6317   mexMakeArrayPersistent(sctx->ctx);
6318   */
6319   sctx->ctx = mxDuplicateArray(ctx);
6320 
6321   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6322   PetscFunctionReturn(0);
6323 }
6324 
6325 #undef __FUNCT__
6326 #define __FUNCT__ "TSComputeJacobian_Matlab"
6327 /*
6328    TSComputeJacobian_Matlab - Calls the function that has been set with
6329                          TSSetJacobianMatlab().
6330 
6331    Collective on TS
6332 
6333    Input Parameters:
6334 +  ts - the TS context
6335 .  u - input vector
6336 .  A, B - the matrices
6337 -  ctx - user context
6338 
6339    Level: developer
6340 
6341 .keywords: TS, nonlinear, compute, function
6342 
6343 .seealso: TSSetFunction(), TSGetFunction()
6344 @*/
6345 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6346 {
6347   PetscErrorCode  ierr;
6348   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6349   int             nlhs  = 2,nrhs = 9;
6350   mxArray         *plhs[2],*prhs[9];
6351   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6352 
6353   PetscFunctionBegin;
6354   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6355   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6356 
6357   /* call Matlab function in ctx with arguments u and y */
6358 
6359   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6360   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6361   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6362   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6363   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6364 
6365   prhs[0] =  mxCreateDoubleScalar((double)ls);
6366   prhs[1] =  mxCreateDoubleScalar((double)time);
6367   prhs[2] =  mxCreateDoubleScalar((double)lx);
6368   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6369   prhs[4] =  mxCreateDoubleScalar((double)shift);
6370   prhs[5] =  mxCreateDoubleScalar((double)lA);
6371   prhs[6] =  mxCreateDoubleScalar((double)lB);
6372   prhs[7] =  mxCreateString(sctx->funcname);
6373   prhs[8] =  sctx->ctx;
6374   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6375   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6376   mxDestroyArray(prhs[0]);
6377   mxDestroyArray(prhs[1]);
6378   mxDestroyArray(prhs[2]);
6379   mxDestroyArray(prhs[3]);
6380   mxDestroyArray(prhs[4]);
6381   mxDestroyArray(prhs[5]);
6382   mxDestroyArray(prhs[6]);
6383   mxDestroyArray(prhs[7]);
6384   mxDestroyArray(plhs[0]);
6385   mxDestroyArray(plhs[1]);
6386   PetscFunctionReturn(0);
6387 }
6388 
6389 
6390 #undef __FUNCT__
6391 #define __FUNCT__ "TSSetJacobianMatlab"
6392 /*
6393    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6394    vector for use by the TS routines in solving ODEs from MATLAB. Here the function is a string containing the name of a MATLAB function
6395 
6396    Logically Collective on TS
6397 
6398    Input Parameters:
6399 +  ts - the TS context
6400 .  A,B - Jacobian matrices
6401 .  func - function evaluation routine
6402 -  ctx - user context
6403 
6404    Calling sequence of func:
6405 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6406 
6407 
6408    Level: developer
6409 
6410 .keywords: TS, nonlinear, set, function
6411 
6412 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6413 */
6414 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6415 {
6416   PetscErrorCode  ierr;
6417   TSMatlabContext *sctx;
6418 
6419   PetscFunctionBegin;
6420   /* currently sctx is memory bleed */
6421   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6422   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6423   /*
6424      This should work, but it doesn't
6425   sctx->ctx = ctx;
6426   mexMakeArrayPersistent(sctx->ctx);
6427   */
6428   sctx->ctx = mxDuplicateArray(ctx);
6429 
6430   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6431   PetscFunctionReturn(0);
6432 }
6433 
6434 #undef __FUNCT__
6435 #define __FUNCT__ "TSMonitor_Matlab"
6436 /*
6437    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6438 
6439    Collective on TS
6440 
6441 .seealso: TSSetFunction(), TSGetFunction()
6442 @*/
6443 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6444 {
6445   PetscErrorCode  ierr;
6446   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6447   int             nlhs  = 1,nrhs = 6;
6448   mxArray         *plhs[1],*prhs[6];
6449   long long int   lx = 0,ls = 0;
6450 
6451   PetscFunctionBegin;
6452   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6453   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6454 
6455   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6456   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6457 
6458   prhs[0] =  mxCreateDoubleScalar((double)ls);
6459   prhs[1] =  mxCreateDoubleScalar((double)it);
6460   prhs[2] =  mxCreateDoubleScalar((double)time);
6461   prhs[3] =  mxCreateDoubleScalar((double)lx);
6462   prhs[4] =  mxCreateString(sctx->funcname);
6463   prhs[5] =  sctx->ctx;
6464   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6465   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6466   mxDestroyArray(prhs[0]);
6467   mxDestroyArray(prhs[1]);
6468   mxDestroyArray(prhs[2]);
6469   mxDestroyArray(prhs[3]);
6470   mxDestroyArray(prhs[4]);
6471   mxDestroyArray(plhs[0]);
6472   PetscFunctionReturn(0);
6473 }
6474 
6475 
6476 #undef __FUNCT__
6477 #define __FUNCT__ "TSMonitorSetMatlab"
6478 /*
6479    TSMonitorSetMatlab - Sets the monitor function from Matlab
6480 
6481    Level: developer
6482 
6483 .keywords: TS, nonlinear, set, function
6484 
6485 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6486 */
6487 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6488 {
6489   PetscErrorCode  ierr;
6490   TSMatlabContext *sctx;
6491 
6492   PetscFunctionBegin;
6493   /* currently sctx is memory bleed */
6494   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6495   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6496   /*
6497      This should work, but it doesn't
6498   sctx->ctx = ctx;
6499   mexMakeArrayPersistent(sctx->ctx);
6500   */
6501   sctx->ctx = mxDuplicateArray(ctx);
6502 
6503   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6504   PetscFunctionReturn(0);
6505 }
6506 #endif
6507 
6508 #undef __FUNCT__
6509 #define __FUNCT__ "TSMonitorLGSolution"
6510 /*@C
6511    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6512        in a time based line graph
6513 
6514    Collective on TS
6515 
6516    Input Parameters:
6517 +  ts - the TS context
6518 .  step - current time-step
6519 .  ptime - current time
6520 .  u - current solution
6521 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6522 
6523    Options Database:
6524 .   -ts_monitor_lg_solution_variables
6525 
6526    Level: intermediate
6527 
6528    Notes: Each process in a parallel run displays its component solutions in a separate window
6529 
6530 .keywords: TS,  vector, monitor, view
6531 
6532 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6533            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6534            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6535            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6536 @*/
6537 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6538 {
6539   PetscErrorCode    ierr;
6540   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6541   const PetscScalar *yy;
6542   Vec               v;
6543 
6544   PetscFunctionBegin;
6545   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6546   if (!step) {
6547     PetscDrawAxis axis;
6548     PetscInt      dim;
6549     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6550     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6551     if (!ctx->names) {
6552       PetscBool flg;
6553       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6554       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6555       if (flg) {
6556         PetscInt i,n;
6557         char     **names;
6558         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6559         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6560         for (i=0; i<n; i++) {
6561           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6562           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6563         }
6564         names[n] = NULL;
6565         ctx->names = names;
6566       }
6567     }
6568     if (ctx->names && !ctx->displaynames) {
6569       char      **displaynames;
6570       PetscBool flg;
6571       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6572       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6573       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6574       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6575       if (flg) {
6576         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6577       }
6578       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6579     }
6580     if (ctx->displaynames) {
6581       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6582       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6583     } else if (ctx->names) {
6584       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6585       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6586       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6587     } else {
6588       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6589       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6590     }
6591     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6592   }
6593 
6594   if (!ctx->transform) v = u;
6595   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6596   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6597   if (ctx->displaynames) {
6598     PetscInt i;
6599     for (i=0; i<ctx->ndisplayvariables; i++)
6600       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6601     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6602   } else {
6603 #if defined(PETSC_USE_COMPLEX)
6604     PetscInt  i,n;
6605     PetscReal *yreal;
6606     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6607     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6608     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6609     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6610     ierr = PetscFree(yreal);CHKERRQ(ierr);
6611 #else
6612     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6613 #endif
6614   }
6615   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6616   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6617 
6618   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6619     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6620     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6621   }
6622   PetscFunctionReturn(0);
6623 }
6624 
6625 
6626 #undef __FUNCT__
6627 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6628 /*@C
6629    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6630 
6631    Collective on TS
6632 
6633    Input Parameters:
6634 +  ts - the TS context
6635 -  names - the names of the components, final string must be NULL
6636 
6637    Level: intermediate
6638 
6639    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6640 
6641 .keywords: TS,  vector, monitor, view
6642 
6643 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6644 @*/
6645 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6646 {
6647   PetscErrorCode    ierr;
6648   PetscInt          i;
6649 
6650   PetscFunctionBegin;
6651   for (i=0; i<ts->numbermonitors; i++) {
6652     if (ts->monitor[i] == TSMonitorLGSolution) {
6653       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6654       break;
6655     }
6656   }
6657   PetscFunctionReturn(0);
6658 }
6659 
6660 #undef __FUNCT__
6661 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6662 /*@C
6663    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6664 
6665    Collective on TS
6666 
6667    Input Parameters:
6668 +  ts - the TS context
6669 -  names - the names of the components, final string must be NULL
6670 
6671    Level: intermediate
6672 
6673 .keywords: TS,  vector, monitor, view
6674 
6675 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6676 @*/
6677 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6678 {
6679   PetscErrorCode    ierr;
6680 
6681   PetscFunctionBegin;
6682   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6683   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6684   PetscFunctionReturn(0);
6685 }
6686 
6687 #undef __FUNCT__
6688 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6689 /*@C
6690    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6691 
6692    Collective on TS
6693 
6694    Input Parameter:
6695 .  ts - the TS context
6696 
6697    Output Parameter:
6698 .  names - the names of the components, final string must be NULL
6699 
6700    Level: intermediate
6701 
6702    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6703 
6704 .keywords: TS,  vector, monitor, view
6705 
6706 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6707 @*/
6708 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6709 {
6710   PetscInt       i;
6711 
6712   PetscFunctionBegin;
6713   *names = NULL;
6714   for (i=0; i<ts->numbermonitors; i++) {
6715     if (ts->monitor[i] == TSMonitorLGSolution) {
6716       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6717       *names = (const char *const *)ctx->names;
6718       break;
6719     }
6720   }
6721   PetscFunctionReturn(0);
6722 }
6723 
6724 #undef __FUNCT__
6725 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6726 /*@C
6727    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6728 
6729    Collective on TS
6730 
6731    Input Parameters:
6732 +  ctx - the TSMonitorLG context
6733 .  displaynames - the names of the components, final string must be NULL
6734 
6735    Level: intermediate
6736 
6737 .keywords: TS,  vector, monitor, view
6738 
6739 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6740 @*/
6741 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6742 {
6743   PetscInt          j = 0,k;
6744   PetscErrorCode    ierr;
6745 
6746   PetscFunctionBegin;
6747   if (!ctx->names) PetscFunctionReturn(0);
6748   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6749   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6750   while (displaynames[j]) j++;
6751   ctx->ndisplayvariables = j;
6752   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6753   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6754   j = 0;
6755   while (displaynames[j]) {
6756     k = 0;
6757     while (ctx->names[k]) {
6758       PetscBool flg;
6759       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6760       if (flg) {
6761         ctx->displayvariables[j] = k;
6762         break;
6763       }
6764       k++;
6765     }
6766     j++;
6767   }
6768   PetscFunctionReturn(0);
6769 }
6770 
6771 
6772 #undef __FUNCT__
6773 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6774 /*@C
6775    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6776 
6777    Collective on TS
6778 
6779    Input Parameters:
6780 +  ts - the TS context
6781 .  displaynames - the names of the components, final string must be NULL
6782 
6783    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6784 
6785    Level: intermediate
6786 
6787 .keywords: TS,  vector, monitor, view
6788 
6789 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6790 @*/
6791 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6792 {
6793   PetscInt          i;
6794   PetscErrorCode    ierr;
6795 
6796   PetscFunctionBegin;
6797   for (i=0; i<ts->numbermonitors; i++) {
6798     if (ts->monitor[i] == TSMonitorLGSolution) {
6799       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6800       break;
6801     }
6802   }
6803   PetscFunctionReturn(0);
6804 }
6805 
6806 #undef __FUNCT__
6807 #define __FUNCT__ "TSMonitorLGSetTransform"
6808 /*@C
6809    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6810 
6811    Collective on TS
6812 
6813    Input Parameters:
6814 +  ts - the TS context
6815 .  transform - the transform function
6816 .  destroy - function to destroy the optional context
6817 -  ctx - optional context used by transform function
6818 
6819    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6820 
6821    Level: intermediate
6822 
6823 .keywords: TS,  vector, monitor, view
6824 
6825 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6826 @*/
6827 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6828 {
6829   PetscInt          i;
6830   PetscErrorCode    ierr;
6831 
6832   PetscFunctionBegin;
6833   for (i=0; i<ts->numbermonitors; i++) {
6834     if (ts->monitor[i] == TSMonitorLGSolution) {
6835       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6836     }
6837   }
6838   PetscFunctionReturn(0);
6839 }
6840 
6841 #undef __FUNCT__
6842 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6843 /*@C
6844    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6845 
6846    Collective on TSLGCtx
6847 
6848    Input Parameters:
6849 +  ts - the TS context
6850 .  transform - the transform function
6851 .  destroy - function to destroy the optional context
6852 -  ctx - optional context used by transform function
6853 
6854    Level: intermediate
6855 
6856 .keywords: TS,  vector, monitor, view
6857 
6858 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6859 @*/
6860 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6861 {
6862   PetscFunctionBegin;
6863   ctx->transform    = transform;
6864   ctx->transformdestroy = destroy;
6865   ctx->transformctx = tctx;
6866   PetscFunctionReturn(0);
6867 }
6868 
6869 #undef __FUNCT__
6870 #define __FUNCT__ "TSMonitorLGError"
6871 /*@C
6872    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6873        in a time based line graph
6874 
6875    Collective on TS
6876 
6877    Input Parameters:
6878 +  ts - the TS context
6879 .  step - current time-step
6880 .  ptime - current time
6881 .  u - current solution
6882 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6883 
6884    Level: intermediate
6885 
6886    Notes: Each process in a parallel run displays its component errors in a separate window
6887 
6888    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6889 
6890    Options Database Keys:
6891 .  -ts_monitor_lg_error - create a graphical monitor of error history
6892 
6893 .keywords: TS,  vector, monitor, view
6894 
6895 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6896 @*/
6897 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6898 {
6899   PetscErrorCode    ierr;
6900   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6901   const PetscScalar *yy;
6902   Vec               y;
6903 
6904   PetscFunctionBegin;
6905   if (!step) {
6906     PetscDrawAxis axis;
6907     PetscInt      dim;
6908     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6909     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6910     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6911     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6912     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6913   }
6914   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6915   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6916   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6917   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6918 #if defined(PETSC_USE_COMPLEX)
6919   {
6920     PetscReal *yreal;
6921     PetscInt  i,n;
6922     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6923     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6924     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6925     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6926     ierr = PetscFree(yreal);CHKERRQ(ierr);
6927   }
6928 #else
6929   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6930 #endif
6931   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6932   ierr = VecDestroy(&y);CHKERRQ(ierr);
6933   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6934     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6935     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6936   }
6937   PetscFunctionReturn(0);
6938 }
6939 
6940 #undef __FUNCT__
6941 #define __FUNCT__ "TSMonitorLGSNESIterations"
6942 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6943 {
6944   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6945   PetscReal      x   = ptime,y;
6946   PetscErrorCode ierr;
6947   PetscInt       its;
6948 
6949   PetscFunctionBegin;
6950   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6951   if (!n) {
6952     PetscDrawAxis axis;
6953     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6954     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6955     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6956     ctx->snes_its = 0;
6957   }
6958   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6959   y    = its - ctx->snes_its;
6960   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6961   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6962     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6963     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6964   }
6965   ctx->snes_its = its;
6966   PetscFunctionReturn(0);
6967 }
6968 
6969 #undef __FUNCT__
6970 #define __FUNCT__ "TSMonitorLGKSPIterations"
6971 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6972 {
6973   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6974   PetscReal      x   = ptime,y;
6975   PetscErrorCode ierr;
6976   PetscInt       its;
6977 
6978   PetscFunctionBegin;
6979   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6980   if (!n) {
6981     PetscDrawAxis axis;
6982     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6983     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6984     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6985     ctx->ksp_its = 0;
6986   }
6987   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6988   y    = its - ctx->ksp_its;
6989   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6990   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6991     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6992     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6993   }
6994   ctx->ksp_its = its;
6995   PetscFunctionReturn(0);
6996 }
6997 
6998 #undef __FUNCT__
6999 #define __FUNCT__ "TSComputeLinearStability"
7000 /*@
7001    TSComputeLinearStability - computes the linear stability function at a point
7002 
7003    Collective on TS and Vec
7004 
7005    Input Parameters:
7006 +  ts - the TS context
7007 -  xr,xi - real and imaginary part of input arguments
7008 
7009    Output Parameters:
7010 .  yr,yi - real and imaginary part of function value
7011 
7012    Level: developer
7013 
7014 .keywords: TS, compute
7015 
7016 .seealso: TSSetRHSFunction(), TSComputeIFunction()
7017 @*/
7018 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
7019 {
7020   PetscErrorCode ierr;
7021 
7022   PetscFunctionBegin;
7023   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7024   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
7025   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
7026   PetscFunctionReturn(0);
7027 }
7028 
7029 /* ------------------------------------------------------------------------*/
7030 #undef __FUNCT__
7031 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
7032 /*@C
7033    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
7034 
7035    Collective on TS
7036 
7037    Input Parameters:
7038 .  ts  - the ODE solver object
7039 
7040    Output Parameter:
7041 .  ctx - the context
7042 
7043    Level: intermediate
7044 
7045 .keywords: TS, monitor, line graph, residual, seealso
7046 
7047 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7048 
7049 @*/
7050 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7051 {
7052   PetscErrorCode ierr;
7053 
7054   PetscFunctionBegin;
7055   ierr = PetscNew(ctx);CHKERRQ(ierr);
7056   PetscFunctionReturn(0);
7057 }
7058 
7059 #undef __FUNCT__
7060 #define __FUNCT__ "TSMonitorEnvelope"
7061 /*@C
7062    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7063 
7064    Collective on TS
7065 
7066    Input Parameters:
7067 +  ts - the TS context
7068 .  step - current time-step
7069 .  ptime - current time
7070 .  u  - current solution
7071 -  dctx - the envelope context
7072 
7073    Options Database:
7074 .  -ts_monitor_envelope
7075 
7076    Level: intermediate
7077 
7078    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7079 
7080 .keywords: TS,  vector, monitor, view
7081 
7082 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7083 @*/
7084 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7085 {
7086   PetscErrorCode       ierr;
7087   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7088 
7089   PetscFunctionBegin;
7090   if (!ctx->max) {
7091     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7092     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7093     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7094     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7095   } else {
7096     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7097     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7098   }
7099   PetscFunctionReturn(0);
7100 }
7101 
7102 
7103 #undef __FUNCT__
7104 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7105 /*@C
7106    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7107 
7108    Collective on TS
7109 
7110    Input Parameter:
7111 .  ts - the TS context
7112 
7113    Output Parameter:
7114 +  max - the maximum values
7115 -  min - the minimum values
7116 
7117    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7118 
7119    Level: intermediate
7120 
7121 .keywords: TS,  vector, monitor, view
7122 
7123 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7124 @*/
7125 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7126 {
7127   PetscInt i;
7128 
7129   PetscFunctionBegin;
7130   if (max) *max = NULL;
7131   if (min) *min = NULL;
7132   for (i=0; i<ts->numbermonitors; i++) {
7133     if (ts->monitor[i] == TSMonitorEnvelope) {
7134       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7135       if (max) *max = ctx->max;
7136       if (min) *min = ctx->min;
7137       break;
7138     }
7139   }
7140   PetscFunctionReturn(0);
7141 }
7142 
7143 #undef __FUNCT__
7144 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7145 /*@C
7146    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7147 
7148    Collective on TSMonitorEnvelopeCtx
7149 
7150    Input Parameter:
7151 .  ctx - the monitor context
7152 
7153    Level: intermediate
7154 
7155 .keywords: TS, monitor, line graph, destroy
7156 
7157 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7158 @*/
7159 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7160 {
7161   PetscErrorCode ierr;
7162 
7163   PetscFunctionBegin;
7164   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7165   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7166   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7167   PetscFunctionReturn(0);
7168 }
7169 
7170 #undef __FUNCT__
7171 #define __FUNCT__ "TSRollBack"
7172 /*@
7173    TSRollBack - Rolls back one time step
7174 
7175    Collective on TS
7176 
7177    Input Parameter:
7178 .  ts - the TS context obtained from TSCreate()
7179 
7180    Level: advanced
7181 
7182 .keywords: TS, timestep, rollback
7183 
7184 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7185 @*/
7186 PetscErrorCode  TSRollBack(TS ts)
7187 {
7188   PetscErrorCode ierr;
7189 
7190   PetscFunctionBegin;
7191   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7192   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7193   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7194   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7195   ts->time_step = ts->ptime - ts->ptime_prev;
7196   ts->ptime = ts->ptime_prev;
7197   ts->ptime_prev = ts->ptime_prev_rollback;
7198   ts->steps--; ts->total_steps--;
7199   ts->steprollback = PETSC_TRUE;
7200   PetscFunctionReturn(0);
7201 }
7202 
7203 #undef __FUNCT__
7204 #define __FUNCT__ "TSGetStages"
7205 /*@
7206    TSGetStages - Get the number of stages and stage values
7207 
7208    Input Parameter:
7209 .  ts - the TS context obtained from TSCreate()
7210 
7211    Level: advanced
7212 
7213 .keywords: TS, getstages
7214 
7215 .seealso: TSCreate()
7216 @*/
7217 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7218 {
7219   PetscErrorCode ierr;
7220 
7221   PetscFunctionBegin;
7222   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7223   PetscValidPointer(ns,2);
7224 
7225   if (!ts->ops->getstages) *ns=0;
7226   else {
7227     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7228   }
7229   PetscFunctionReturn(0);
7230 }
7231 
7232 #undef __FUNCT__
7233 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7234 /*@C
7235   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7236 
7237   Collective on SNES
7238 
7239   Input Parameters:
7240 + ts - the TS context
7241 . t - current timestep
7242 . U - state vector
7243 . Udot - time derivative of state vector
7244 . shift - shift to apply, see note below
7245 - ctx - an optional user context
7246 
7247   Output Parameters:
7248 + J - Jacobian matrix (not altered in this routine)
7249 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7250 
7251   Level: intermediate
7252 
7253   Notes:
7254   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7255 
7256   dF/dU + shift*dF/dUdot
7257 
7258   Most users should not need to explicitly call this routine, as it
7259   is used internally within the nonlinear solvers.
7260 
7261   This will first try to get the coloring from the DM.  If the DM type has no coloring
7262   routine, then it will try to get the coloring from the matrix.  This requires that the
7263   matrix have nonzero entries precomputed.
7264 
7265 .keywords: TS, finite differences, Jacobian, coloring, sparse
7266 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7267 @*/
7268 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7269 {
7270   SNES           snes;
7271   MatFDColoring  color;
7272   PetscBool      hascolor, matcolor = PETSC_FALSE;
7273   PetscErrorCode ierr;
7274 
7275   PetscFunctionBegin;
7276   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7277   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7278   if (!color) {
7279     DM         dm;
7280     ISColoring iscoloring;
7281 
7282     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7283     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7284     if (hascolor && !matcolor) {
7285       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7286       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7287       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7288       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7289       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7290       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7291     } else {
7292       MatColoring mc;
7293 
7294       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7295       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7296       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7297       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7298       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7299       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7300       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7301       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7302       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7303       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7304       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7305     }
7306     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7307     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7308   }
7309   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7310   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7311   if (J != B) {
7312     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7313     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7314   }
7315   PetscFunctionReturn(0);
7316 }
7317 
7318 #undef __FUNCT__
7319 #define __FUNCT__ "TSSetFunctionDomainError"
7320 /*@
7321     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7322 
7323     Input Parameters:
7324     ts - the TS context
7325     func - function called within TSFunctionDomainError
7326 
7327     Level: intermediate
7328 
7329 .keywords: TS, state, domain
7330 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7331 @*/
7332 
7333 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7334 {
7335   PetscFunctionBegin;
7336   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7337   ts->functiondomainerror = func;
7338   PetscFunctionReturn(0);
7339 }
7340 
7341 #undef __FUNCT__
7342 #define __FUNCT__ "TSFunctionDomainError"
7343 /*@
7344     TSFunctionDomainError - Check if the current state is valid
7345 
7346     Input Parameters:
7347     ts - the TS context
7348     stagetime - time of the simulation
7349     Y - state vector to check.
7350 
7351     Output Parameter:
7352     accept - Set to PETSC_FALSE if the current state vector is valid.
7353 
7354     Note:
7355     This function should be used to ensure the state is in a valid part of the space.
7356     For example, one can ensure here all values are positive.
7357 
7358     Level: advanced
7359 @*/
7360 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7361 {
7362   PetscErrorCode ierr;
7363 
7364   PetscFunctionBegin;
7365 
7366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7367   *accept = PETSC_TRUE;
7368   if (ts->functiondomainerror) {
7369     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7370   }
7371   PetscFunctionReturn(0);
7372 }
7373 
7374 #undef  __FUNCT__
7375 #define __FUNCT__ "TSClone"
7376 /*@C
7377   TSClone - This function clones a time step object.
7378 
7379   Collective on MPI_Comm
7380 
7381   Input Parameter:
7382 . tsin    - The input TS
7383 
7384   Output Parameter:
7385 . tsout   - The output TS (cloned)
7386 
7387   Notes:
7388   This function is used to create a clone of a TS object. It is used in ARKIMEX for initializing the slope for first stage explicit methods. It will likely be replaced in the future with a mechanism of switching methods on the fly.
7389 
7390   When using TSDestroy() on a clone the user has to first reset the correct TS reference in the embedded SNES object: e.g.: by running SNES snes_dup=NULL; TSGetSNES(ts,&snes_dup); ierr = TSSetSNES(ts,snes_dup);
7391 
7392   Level: developer
7393 
7394 .keywords: TS, clone
7395 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7396 @*/
7397 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7398 {
7399   TS             t;
7400   PetscErrorCode ierr;
7401   SNES           snes_start;
7402   DM             dm;
7403   TSType         type;
7404 
7405   PetscFunctionBegin;
7406   PetscValidPointer(tsin,1);
7407   *tsout = NULL;
7408 
7409   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7410 
7411   /* General TS description */
7412   t->numbermonitors    = 0;
7413   t->setupcalled       = 0;
7414   t->ksp_its           = 0;
7415   t->snes_its          = 0;
7416   t->nwork             = 0;
7417   t->rhsjacobian.time  = -1e20;
7418   t->rhsjacobian.scale = 1.;
7419   t->ijacobian.shift   = 1.;
7420 
7421   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7422   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7423 
7424   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7425   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7426 
7427   t->adapt = tsin->adapt;
7428   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7429 
7430   t->problem_type      = tsin->problem_type;
7431   t->ptime             = tsin->ptime;
7432   t->time_step         = tsin->time_step;
7433   t->max_time          = tsin->max_time;
7434   t->steps             = tsin->steps;
7435   t->max_steps         = tsin->max_steps;
7436   t->equation_type     = tsin->equation_type;
7437   t->atol              = tsin->atol;
7438   t->rtol              = tsin->rtol;
7439   t->max_snes_failures = tsin->max_snes_failures;
7440   t->max_reject        = tsin->max_reject;
7441   t->errorifstepfailed = tsin->errorifstepfailed;
7442 
7443   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7444   ierr = TSSetType(t,type);CHKERRQ(ierr);
7445 
7446   t->vec_sol           = NULL;
7447 
7448   t->cfltime          = tsin->cfltime;
7449   t->cfltime_local    = tsin->cfltime_local;
7450   t->exact_final_time = tsin->exact_final_time;
7451 
7452   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7453 
7454   if (((PetscObject)tsin)->fortran_func_pointers) {
7455     PetscInt i;
7456     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7457     for (i=0; i<10; i++) {
7458       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7459     }
7460   }
7461   *tsout = t;
7462   PetscFunctionReturn(0);
7463 }
7464