xref: /petsc/src/ts/interface/ts.c (revision d07978448ada55d7b14ea464d9e46bae10a9abb6)
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
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()
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__ "TSGetCostGradients"
2250 /*@
2251    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
2252 
2253    Not Collective, but Vec returned is parallel if TS is parallel
2254 
2255    Input Parameter:
2256 .  ts - the TS context obtained from TSCreate()
2257 
2258    Output Parameter:
2259 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
2260 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
2261 
2262    Level: intermediate
2263 
2264 .seealso: TSGetTimeStep()
2265 
2266 .keywords: TS, timestep, get, sensitivity
2267 @*/
2268 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
2269 {
2270   PetscFunctionBegin;
2271   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2272   if (numcost) *numcost = ts->numcost;
2273   if (lambda)  *lambda  = ts->vecs_sensi;
2274   if (mu)      *mu      = ts->vecs_sensip;
2275   PetscFunctionReturn(0);
2276 }
2277 
2278 /* ----- Routines to initialize and destroy a timestepper ---- */
2279 #undef __FUNCT__
2280 #define __FUNCT__ "TSSetProblemType"
2281 /*@
2282   TSSetProblemType - Sets the type of problem to be solved.
2283 
2284   Not collective
2285 
2286   Input Parameters:
2287 + ts   - The TS
2288 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2289 .vb
2290          U_t - A U = 0      (linear)
2291          U_t - A(t) U = 0   (linear)
2292          F(t,U,U_t) = 0     (nonlinear)
2293 .ve
2294 
2295    Level: beginner
2296 
2297 .keywords: TS, problem type
2298 .seealso: TSSetUp(), TSProblemType, TS
2299 @*/
2300 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
2301 {
2302   PetscErrorCode ierr;
2303 
2304   PetscFunctionBegin;
2305   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2306   ts->problem_type = type;
2307   if (type == TS_LINEAR) {
2308     SNES snes;
2309     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2310     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
2311   }
2312   PetscFunctionReturn(0);
2313 }
2314 
2315 #undef __FUNCT__
2316 #define __FUNCT__ "TSGetProblemType"
2317 /*@C
2318   TSGetProblemType - Gets the type of problem to be solved.
2319 
2320   Not collective
2321 
2322   Input Parameter:
2323 . ts   - The TS
2324 
2325   Output Parameter:
2326 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2327 .vb
2328          M U_t = A U
2329          M(t) U_t = A(t) U
2330          F(t,U,U_t)
2331 .ve
2332 
2333    Level: beginner
2334 
2335 .keywords: TS, problem type
2336 .seealso: TSSetUp(), TSProblemType, TS
2337 @*/
2338 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
2339 {
2340   PetscFunctionBegin;
2341   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2342   PetscValidIntPointer(type,2);
2343   *type = ts->problem_type;
2344   PetscFunctionReturn(0);
2345 }
2346 
2347 #undef __FUNCT__
2348 #define __FUNCT__ "TSSetUp"
2349 /*@
2350    TSSetUp - Sets up the internal data structures for the later use
2351    of a timestepper.
2352 
2353    Collective on TS
2354 
2355    Input Parameter:
2356 .  ts - the TS context obtained from TSCreate()
2357 
2358    Notes:
2359    For basic use of the TS solvers the user need not explicitly call
2360    TSSetUp(), since these actions will automatically occur during
2361    the call to TSStep().  However, if one wishes to control this
2362    phase separately, TSSetUp() should be called after TSCreate()
2363    and optional routines of the form TSSetXXX(), but before TSStep().
2364 
2365    Level: advanced
2366 
2367 .keywords: TS, timestep, setup
2368 
2369 .seealso: TSCreate(), TSStep(), TSDestroy()
2370 @*/
2371 PetscErrorCode  TSSetUp(TS ts)
2372 {
2373   PetscErrorCode ierr;
2374   DM             dm;
2375   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2376   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
2377   TSIFunction    ifun;
2378   TSIJacobian    ijac;
2379   TSI2Jacobian   i2jac;
2380   TSRHSJacobian  rhsjac;
2381 
2382   PetscFunctionBegin;
2383   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2384   if (ts->setupcalled) PetscFunctionReturn(0);
2385 
2386   ts->total_steps = 0;
2387   if (!((PetscObject)ts)->type_name) {
2388     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
2389     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
2390   }
2391 
2392   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2393 
2394   if (ts->rhsjacobian.reuse) {
2395     Mat Amat,Pmat;
2396     SNES snes;
2397     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2398     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2399     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2400      * have displaced the RHS matrix */
2401     if (Amat == ts->Arhs) {
2402       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2403       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2404       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2405     }
2406     if (Pmat == ts->Brhs) {
2407       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2408       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2409       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2410     }
2411   }
2412   if (ts->ops->setup) {
2413     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2414   }
2415 
2416   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2417      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2418    */
2419   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2420   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2421   if (!func) {
2422     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2423   }
2424   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2425      Otherwise, the SNES will use coloring internally to form the Jacobian.
2426    */
2427   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2428   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2429   ierr = DMTSGetI2Jacobian(dm,&i2jac,NULL);CHKERRQ(ierr);
2430   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2431   if (!jac && (ijac || i2jac || rhsjac)) {
2432     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2433   }
2434   ts->setupcalled = PETSC_TRUE;
2435   PetscFunctionReturn(0);
2436 }
2437 
2438 #undef __FUNCT__
2439 #define __FUNCT__ "TSAdjointSetUp"
2440 /*@
2441    TSAdjointSetUp - Sets up the internal data structures for the later use
2442    of an adjoint solver
2443 
2444    Collective on TS
2445 
2446    Input Parameter:
2447 .  ts - the TS context obtained from TSCreate()
2448 
2449    Level: advanced
2450 
2451 .keywords: TS, timestep, setup
2452 
2453 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2454 @*/
2455 PetscErrorCode  TSAdjointSetUp(TS ts)
2456 {
2457   PetscErrorCode ierr;
2458 
2459   PetscFunctionBegin;
2460   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2461   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2462   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2463 
2464   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2465     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2466     if (ts->vecs_sensip){
2467       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2468     }
2469   }
2470 
2471   if (ts->ops->adjointsetup) {
2472     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2473   }
2474   ts->adjointsetupcalled = PETSC_TRUE;
2475   PetscFunctionReturn(0);
2476 }
2477 
2478 #undef __FUNCT__
2479 #define __FUNCT__ "TSReset"
2480 /*@
2481    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2482 
2483    Collective on TS
2484 
2485    Input Parameter:
2486 .  ts - the TS context obtained from TSCreate()
2487 
2488    Level: beginner
2489 
2490 .keywords: TS, timestep, reset
2491 
2492 .seealso: TSCreate(), TSSetup(), TSDestroy()
2493 @*/
2494 PetscErrorCode  TSReset(TS ts)
2495 {
2496   PetscErrorCode ierr;
2497 
2498   PetscFunctionBegin;
2499   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2500 
2501   if (ts->ops->reset) {
2502     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2503   }
2504   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2505   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2506 
2507   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2508   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2509   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2510   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2511   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
2512   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2513   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2514   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2515 
2516  if (ts->vec_costintegral) {
2517     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2518     if (ts->vecs_drdp){
2519       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2520     }
2521   }
2522   ts->vecs_sensi  = NULL;
2523   ts->vecs_sensip = NULL;
2524   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2525   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2526   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2527   ts->setupcalled = PETSC_FALSE;
2528   PetscFunctionReturn(0);
2529 }
2530 
2531 #undef __FUNCT__
2532 #define __FUNCT__ "TSDestroy"
2533 /*@
2534    TSDestroy - Destroys the timestepper context that was created
2535    with TSCreate().
2536 
2537    Collective on TS
2538 
2539    Input Parameter:
2540 .  ts - the TS context obtained from TSCreate()
2541 
2542    Level: beginner
2543 
2544 .keywords: TS, timestepper, destroy
2545 
2546 .seealso: TSCreate(), TSSetUp(), TSSolve()
2547 @*/
2548 PetscErrorCode  TSDestroy(TS *ts)
2549 {
2550   PetscErrorCode ierr;
2551 
2552   PetscFunctionBegin;
2553   if (!*ts) PetscFunctionReturn(0);
2554   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2555   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2556 
2557   ierr = TSReset((*ts));CHKERRQ(ierr);
2558 
2559   /* if memory was published with SAWs then destroy it */
2560   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2561   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2562 
2563   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2564 
2565   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2566   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2567 
2568   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2569   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2570   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2571   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2572 
2573   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2574   PetscFunctionReturn(0);
2575 }
2576 
2577 #undef __FUNCT__
2578 #define __FUNCT__ "TSGetSNES"
2579 /*@
2580    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2581    a TS (timestepper) context. Valid only for nonlinear problems.
2582 
2583    Not Collective, but SNES is parallel if TS is parallel
2584 
2585    Input Parameter:
2586 .  ts - the TS context obtained from TSCreate()
2587 
2588    Output Parameter:
2589 .  snes - the nonlinear solver context
2590 
2591    Notes:
2592    The user can then directly manipulate the SNES context to set various
2593    options, etc.  Likewise, the user can then extract and manipulate the
2594    KSP, KSP, and PC contexts as well.
2595 
2596    TSGetSNES() does not work for integrators that do not use SNES; in
2597    this case TSGetSNES() returns NULL in snes.
2598 
2599    Level: beginner
2600 
2601 .keywords: timestep, get, SNES
2602 @*/
2603 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2604 {
2605   PetscErrorCode ierr;
2606 
2607   PetscFunctionBegin;
2608   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2609   PetscValidPointer(snes,2);
2610   if (!ts->snes) {
2611     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2612     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2613     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2614     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2615     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2616     if (ts->problem_type == TS_LINEAR) {
2617       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2618     }
2619   }
2620   *snes = ts->snes;
2621   PetscFunctionReturn(0);
2622 }
2623 
2624 #undef __FUNCT__
2625 #define __FUNCT__ "TSSetSNES"
2626 /*@
2627    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2628 
2629    Collective
2630 
2631    Input Parameter:
2632 +  ts - the TS context obtained from TSCreate()
2633 -  snes - the nonlinear solver context
2634 
2635    Notes:
2636    Most users should have the TS created by calling TSGetSNES()
2637 
2638    Level: developer
2639 
2640 .keywords: timestep, set, SNES
2641 @*/
2642 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2643 {
2644   PetscErrorCode ierr;
2645   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2646 
2647   PetscFunctionBegin;
2648   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2649   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2650   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2651   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2652 
2653   ts->snes = snes;
2654 
2655   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2656   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2657   if (func == SNESTSFormJacobian) {
2658     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2659   }
2660   PetscFunctionReturn(0);
2661 }
2662 
2663 #undef __FUNCT__
2664 #define __FUNCT__ "TSGetKSP"
2665 /*@
2666    TSGetKSP - Returns the KSP (linear solver) associated with
2667    a TS (timestepper) context.
2668 
2669    Not Collective, but KSP is parallel if TS is parallel
2670 
2671    Input Parameter:
2672 .  ts - the TS context obtained from TSCreate()
2673 
2674    Output Parameter:
2675 .  ksp - the nonlinear solver context
2676 
2677    Notes:
2678    The user can then directly manipulate the KSP context to set various
2679    options, etc.  Likewise, the user can then extract and manipulate the
2680    KSP and PC contexts as well.
2681 
2682    TSGetKSP() does not work for integrators that do not use KSP;
2683    in this case TSGetKSP() returns NULL in ksp.
2684 
2685    Level: beginner
2686 
2687 .keywords: timestep, get, KSP
2688 @*/
2689 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2690 {
2691   PetscErrorCode ierr;
2692   SNES           snes;
2693 
2694   PetscFunctionBegin;
2695   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2696   PetscValidPointer(ksp,2);
2697   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2698   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2699   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2700   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2701   PetscFunctionReturn(0);
2702 }
2703 
2704 /* ----------- Routines to set solver parameters ---------- */
2705 
2706 #undef __FUNCT__
2707 #define __FUNCT__ "TSGetDuration"
2708 /*@
2709    TSGetDuration - Gets the maximum number of timesteps to use and
2710    maximum time for iteration.
2711 
2712    Not Collective
2713 
2714    Input Parameters:
2715 +  ts       - the TS context obtained from TSCreate()
2716 .  maxsteps - maximum number of iterations to use, or NULL
2717 -  maxtime  - final time to iterate to, or NULL
2718 
2719    Level: intermediate
2720 
2721 .keywords: TS, timestep, get, maximum, iterations, time
2722 @*/
2723 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2724 {
2725   PetscFunctionBegin;
2726   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2727   if (maxsteps) {
2728     PetscValidIntPointer(maxsteps,2);
2729     *maxsteps = ts->max_steps;
2730   }
2731   if (maxtime) {
2732     PetscValidScalarPointer(maxtime,3);
2733     *maxtime = ts->max_time;
2734   }
2735   PetscFunctionReturn(0);
2736 }
2737 
2738 #undef __FUNCT__
2739 #define __FUNCT__ "TSSetDuration"
2740 /*@
2741    TSSetDuration - Sets the maximum number of timesteps to use and
2742    maximum time for iteration.
2743 
2744    Logically Collective on TS
2745 
2746    Input Parameters:
2747 +  ts - the TS context obtained from TSCreate()
2748 .  maxsteps - maximum number of iterations to use
2749 -  maxtime - final time to iterate to
2750 
2751    Options Database Keys:
2752 .  -ts_max_steps <maxsteps> - Sets maxsteps
2753 .  -ts_final_time <maxtime> - Sets maxtime
2754 
2755    Notes:
2756    The default maximum number of iterations is 5000. Default time is 5.0
2757 
2758    Level: intermediate
2759 
2760 .keywords: TS, timestep, set, maximum, iterations
2761 
2762 .seealso: TSSetExactFinalTime()
2763 @*/
2764 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2765 {
2766   PetscFunctionBegin;
2767   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2768   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2769   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2770   if (maxsteps >= 0) ts->max_steps = maxsteps;
2771   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2772   PetscFunctionReturn(0);
2773 }
2774 
2775 #undef __FUNCT__
2776 #define __FUNCT__ "TSSetSolution"
2777 /*@
2778    TSSetSolution - Sets the initial solution vector
2779    for use by the TS routines.
2780 
2781    Logically Collective on TS and Vec
2782 
2783    Input Parameters:
2784 +  ts - the TS context obtained from TSCreate()
2785 -  u - the solution vector
2786 
2787    Level: beginner
2788 
2789 .keywords: TS, timestep, set, solution, initial conditions
2790 @*/
2791 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2792 {
2793   PetscErrorCode ierr;
2794   DM             dm;
2795 
2796   PetscFunctionBegin;
2797   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2798   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2799   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2800   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2801   ts->vec_sol = u;
2802 
2803   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2804   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2805   PetscFunctionReturn(0);
2806 }
2807 
2808 #undef __FUNCT__
2809 #define __FUNCT__ "TSAdjointSetSteps"
2810 /*@
2811    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2812 
2813    Logically Collective on TS
2814 
2815    Input Parameters:
2816 +  ts - the TS context obtained from TSCreate()
2817 .  steps - number of steps to use
2818 
2819    Level: intermediate
2820 
2821    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2822           so as to integrate back to less than the original timestep
2823 
2824 .keywords: TS, timestep, set, maximum, iterations
2825 
2826 .seealso: TSSetExactFinalTime()
2827 @*/
2828 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2829 {
2830   PetscFunctionBegin;
2831   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2832   PetscValidLogicalCollectiveInt(ts,steps,2);
2833   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2834   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2835   ts->adjoint_max_steps = steps;
2836   PetscFunctionReturn(0);
2837 }
2838 
2839 #undef __FUNCT__
2840 #define __FUNCT__ "TSSetCostGradients"
2841 /*@
2842    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2843       for use by the TSAdjoint routines.
2844 
2845    Logically Collective on TS and Vec
2846 
2847    Input Parameters:
2848 +  ts - the TS context obtained from TSCreate()
2849 .  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
2850 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2851 
2852    Level: beginner
2853 
2854    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2855 
2856 .keywords: TS, timestep, set, sensitivity, initial conditions
2857 @*/
2858 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2859 {
2860   PetscFunctionBegin;
2861   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2862   PetscValidPointer(lambda,2);
2863   ts->vecs_sensi  = lambda;
2864   ts->vecs_sensip = mu;
2865   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");
2866   ts->numcost  = numcost;
2867   PetscFunctionReturn(0);
2868 }
2869 
2870 #undef __FUNCT__
2871 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2872 /*@C
2873   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.
2874 
2875   Logically Collective on TS
2876 
2877   Input Parameters:
2878 + ts   - The TS context obtained from TSCreate()
2879 - func - The function
2880 
2881   Calling sequence of func:
2882 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2883 +   t - current timestep
2884 .   y - input vector (current ODE solution)
2885 .   A - output matrix
2886 -   ctx - [optional] user-defined function context
2887 
2888   Level: intermediate
2889 
2890   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
2891 
2892 .keywords: TS, sensitivity
2893 .seealso:
2894 @*/
2895 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2896 {
2897   PetscErrorCode ierr;
2898 
2899   PetscFunctionBegin;
2900   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2901   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2902 
2903   ts->rhsjacobianp    = func;
2904   ts->rhsjacobianpctx = ctx;
2905   if(Amat) {
2906     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2907     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2908     ts->Jacp = Amat;
2909   }
2910   PetscFunctionReturn(0);
2911 }
2912 
2913 #undef __FUNCT__
2914 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2915 /*@C
2916   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2917 
2918   Collective on TS
2919 
2920   Input Parameters:
2921 . ts   - The TS context obtained from TSCreate()
2922 
2923   Level: developer
2924 
2925 .keywords: TS, sensitivity
2926 .seealso: TSAdjointSetRHSJacobian()
2927 @*/
2928 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2929 {
2930   PetscErrorCode ierr;
2931 
2932   PetscFunctionBegin;
2933   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2934   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2935   PetscValidPointer(Amat,4);
2936 
2937   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2938   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2939   PetscStackPop;
2940   PetscFunctionReturn(0);
2941 }
2942 
2943 #undef __FUNCT__
2944 #define __FUNCT__ "TSSetCostIntegrand"
2945 /*@C
2946     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2947 
2948     Logically Collective on TS
2949 
2950     Input Parameters:
2951 +   ts - the TS context obtained from TSCreate()
2952 .   numcost - number of gradients to be computed, this is the number of cost functions
2953 .   rf - routine for evaluating the integrand function
2954 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2955 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2956 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
2957 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2958 
2959     Calling sequence of rf:
2960 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2961 
2962 +   t - current timestep
2963 .   y - input vector
2964 .   f - function result; one vector entry for each cost function
2965 -   ctx - [optional] user-defined function context
2966 
2967    Calling sequence of drdyf:
2968 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2969 
2970    Calling sequence of drdpf:
2971 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2972 
2973     Level: intermediate
2974 
2975     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2976 
2977 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2978 
2979 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
2980 @*/
2981 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2982                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2983                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
2984                                                           PetscBool fwd,void *ctx)
2985 {
2986   PetscErrorCode ierr;
2987 
2988   PetscFunctionBegin;
2989   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2990   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()");
2991   if (!ts->numcost) ts->numcost=numcost;
2992 
2993   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
2994   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2995   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2996   ts->costintegrand    = rf;
2997   ts->costintegrandctx = ctx;
2998   ts->drdyfunction     = drdyf;
2999   ts->drdpfunction     = drdpf;
3000   PetscFunctionReturn(0);
3001 }
3002 
3003 #undef __FUNCT__
3004 #define __FUNCT__ "TSGetCostIntegral"
3005 /*@
3006    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
3007    It is valid to call the routine after a backward run.
3008 
3009    Not Collective
3010 
3011    Input Parameter:
3012 .  ts - the TS context obtained from TSCreate()
3013 
3014    Output Parameter:
3015 .  v - the vector containing the integrals for each cost function
3016 
3017    Level: intermediate
3018 
3019 .seealso: TSSetCostIntegrand()
3020 
3021 .keywords: TS, sensitivity analysis
3022 @*/
3023 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
3024 {
3025   PetscFunctionBegin;
3026   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3027   PetscValidPointer(v,2);
3028   *v = ts->vec_costintegral;
3029   PetscFunctionReturn(0);
3030 }
3031 
3032 #undef __FUNCT__
3033 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
3034 /*@
3035    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
3036 
3037    Input Parameters:
3038 +  ts - the TS context
3039 .  t - current time
3040 -  y - state vector, i.e. current solution
3041 
3042    Output Parameter:
3043 .  q - vector of size numcost to hold the outputs
3044 
3045    Note:
3046    Most users should not need to explicitly call this routine, as it
3047    is used internally within the sensitivity analysis context.
3048 
3049    Level: developer
3050 
3051 .keywords: TS, compute
3052 
3053 .seealso: TSSetCostIntegrand()
3054 @*/
3055 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
3056 {
3057   PetscErrorCode ierr;
3058 
3059   PetscFunctionBegin;
3060   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3061   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3062   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
3063 
3064   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3065   if (ts->costintegrand) {
3066     PetscStackPush("TS user integrand in the cost function");
3067     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
3068     PetscStackPop;
3069   } else {
3070     ierr = VecZeroEntries(q);CHKERRQ(ierr);
3071   }
3072 
3073   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3074   PetscFunctionReturn(0);
3075 }
3076 
3077 #undef __FUNCT__
3078 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
3079 /*@
3080   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
3081 
3082   Collective on TS
3083 
3084   Input Parameters:
3085 . ts   - The TS context obtained from TSCreate()
3086 
3087   Notes:
3088   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
3089   so most users would not generally call this routine themselves.
3090 
3091   Level: developer
3092 
3093 .keywords: TS, sensitivity
3094 .seealso: TSAdjointComputeDRDYFunction()
3095 @*/
3096 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
3097 {
3098   PetscErrorCode ierr;
3099 
3100   PetscFunctionBegin;
3101   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3102   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3103 
3104   PetscStackPush("TS user DRDY function for sensitivity analysis");
3105   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
3106   PetscStackPop;
3107   PetscFunctionReturn(0);
3108 }
3109 
3110 #undef __FUNCT__
3111 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
3112 /*@
3113   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
3114 
3115   Collective on TS
3116 
3117   Input Parameters:
3118 . ts   - The TS context obtained from TSCreate()
3119 
3120   Notes:
3121   TSDRDPFunction() is typically used for sensitivity implementation,
3122   so most users would not generally call this routine themselves.
3123 
3124   Level: developer
3125 
3126 .keywords: TS, sensitivity
3127 .seealso: TSAdjointSetDRDPFunction()
3128 @*/
3129 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
3130 {
3131   PetscErrorCode ierr;
3132 
3133   PetscFunctionBegin;
3134   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3135   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3136 
3137   PetscStackPush("TS user DRDP function for sensitivity analysis");
3138   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
3139   PetscStackPop;
3140   PetscFunctionReturn(0);
3141 }
3142 
3143 #undef __FUNCT__
3144 #define __FUNCT__ "TSSetPreStep"
3145 /*@C
3146   TSSetPreStep - Sets the general-purpose function
3147   called once at the beginning of each time step.
3148 
3149   Logically Collective on TS
3150 
3151   Input Parameters:
3152 + ts   - The TS context obtained from TSCreate()
3153 - func - The function
3154 
3155   Calling sequence of func:
3156 . func (TS ts);
3157 
3158   Level: intermediate
3159 
3160   Note:
3161   If a step is rejected, TSStep() will call this routine again before each attempt.
3162   The last completed time step number can be queried using TSGetTimeStepNumber(), the
3163   size of the step being attempted can be obtained using TSGetTimeStep().
3164 
3165 .keywords: TS, timestep
3166 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
3167 @*/
3168 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
3169 {
3170   PetscFunctionBegin;
3171   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3172   ts->prestep = func;
3173   PetscFunctionReturn(0);
3174 }
3175 
3176 #undef __FUNCT__
3177 #define __FUNCT__ "TSPreStep"
3178 /*@
3179   TSPreStep - Runs the user-defined pre-step function.
3180 
3181   Collective on TS
3182 
3183   Input Parameters:
3184 . ts   - The TS context obtained from TSCreate()
3185 
3186   Notes:
3187   TSPreStep() is typically used within time stepping implementations,
3188   so most users would not generally call this routine themselves.
3189 
3190   Level: developer
3191 
3192 .keywords: TS, timestep
3193 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
3194 @*/
3195 PetscErrorCode  TSPreStep(TS ts)
3196 {
3197   PetscErrorCode ierr;
3198 
3199   PetscFunctionBegin;
3200   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3201   if (ts->prestep) {
3202     PetscStackCallStandard((*ts->prestep),(ts));
3203   }
3204   PetscFunctionReturn(0);
3205 }
3206 
3207 #undef __FUNCT__
3208 #define __FUNCT__ "TSSetPreStage"
3209 /*@C
3210   TSSetPreStage - Sets the general-purpose function
3211   called once at the beginning of each stage.
3212 
3213   Logically Collective on TS
3214 
3215   Input Parameters:
3216 + ts   - The TS context obtained from TSCreate()
3217 - func - The function
3218 
3219   Calling sequence of func:
3220 . PetscErrorCode func(TS ts, PetscReal stagetime);
3221 
3222   Level: intermediate
3223 
3224   Note:
3225   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3226   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3227   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3228 
3229 .keywords: TS, timestep
3230 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3231 @*/
3232 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
3233 {
3234   PetscFunctionBegin;
3235   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3236   ts->prestage = func;
3237   PetscFunctionReturn(0);
3238 }
3239 
3240 #undef __FUNCT__
3241 #define __FUNCT__ "TSSetPostStage"
3242 /*@C
3243   TSSetPostStage - Sets the general-purpose function
3244   called once at the end of each stage.
3245 
3246   Logically Collective on TS
3247 
3248   Input Parameters:
3249 + ts   - The TS context obtained from TSCreate()
3250 - func - The function
3251 
3252   Calling sequence of func:
3253 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
3254 
3255   Level: intermediate
3256 
3257   Note:
3258   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3259   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3260   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3261 
3262 .keywords: TS, timestep
3263 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3264 @*/
3265 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
3266 {
3267   PetscFunctionBegin;
3268   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3269   ts->poststage = func;
3270   PetscFunctionReturn(0);
3271 }
3272 
3273 #undef __FUNCT__
3274 #define __FUNCT__ "TSSetPostEvaluate"
3275 /*@C
3276   TSSetPostEvaluate - Sets the general-purpose function
3277   called once at the end of each step evaluation.
3278 
3279   Logically Collective on TS
3280 
3281   Input Parameters:
3282 + ts   - The TS context obtained from TSCreate()
3283 - func - The function
3284 
3285   Calling sequence of func:
3286 . PetscErrorCode func(TS ts);
3287 
3288   Level: intermediate
3289 
3290   Note:
3291   Semantically, TSSetPostEvaluate() differs from TSSetPostStep() since the function it sets is called before event-handling
3292   thus guaranteeing the same solution (computed by the time-stepper) will be passed to it. On the other hand, TSPostStep()
3293   may be passed a different solution, possibly changed by the event handler. TSPostEvaluate() is called after the next step
3294   solution is evaluated allowing to modify it, if need be. The solution can be obtained with TSGetSolution(), the time step
3295   with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3296 
3297 .keywords: TS, timestep
3298 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3299 @*/
3300 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3301 {
3302   PetscFunctionBegin;
3303   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3304   ts->postevaluate = func;
3305   PetscFunctionReturn(0);
3306 }
3307 
3308 #undef __FUNCT__
3309 #define __FUNCT__ "TSPreStage"
3310 /*@
3311   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3312 
3313   Collective on TS
3314 
3315   Input Parameters:
3316 . ts          - The TS context obtained from TSCreate()
3317   stagetime   - The absolute time of the current stage
3318 
3319   Notes:
3320   TSPreStage() is typically used within time stepping implementations,
3321   most users would not generally call this routine themselves.
3322 
3323   Level: developer
3324 
3325 .keywords: TS, timestep
3326 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3327 @*/
3328 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3329 {
3330   PetscErrorCode ierr;
3331 
3332   PetscFunctionBegin;
3333   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3334   if (ts->prestage) {
3335     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3336   }
3337   PetscFunctionReturn(0);
3338 }
3339 
3340 #undef __FUNCT__
3341 #define __FUNCT__ "TSPostStage"
3342 /*@
3343   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3344 
3345   Collective on TS
3346 
3347   Input Parameters:
3348 . ts          - The TS context obtained from TSCreate()
3349   stagetime   - The absolute time of the current stage
3350   stageindex  - Stage number
3351   Y           - Array of vectors (of size = total number
3352                 of stages) with the stage solutions
3353 
3354   Notes:
3355   TSPostStage() is typically used within time stepping implementations,
3356   most users would not generally call this routine themselves.
3357 
3358   Level: developer
3359 
3360 .keywords: TS, timestep
3361 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3362 @*/
3363 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3364 {
3365   PetscErrorCode ierr;
3366 
3367   PetscFunctionBegin;
3368   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3369   if (ts->poststage) {
3370     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3371   }
3372   PetscFunctionReturn(0);
3373 }
3374 
3375 #undef __FUNCT__
3376 #define __FUNCT__ "TSPostEvaluate"
3377 /*@
3378   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3379 
3380   Collective on TS
3381 
3382   Input Parameters:
3383 . ts          - The TS context obtained from TSCreate()
3384 
3385   Notes:
3386   TSPostEvaluate() is typically used within time stepping implementations,
3387   most users would not generally call this routine themselves.
3388 
3389   Level: developer
3390 
3391 .keywords: TS, timestep
3392 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3393 @*/
3394 PetscErrorCode  TSPostEvaluate(TS ts)
3395 {
3396   PetscErrorCode ierr;
3397 
3398   PetscFunctionBegin;
3399   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3400   if (ts->postevaluate) {
3401     PetscStackCallStandard((*ts->postevaluate),(ts));
3402   }
3403   PetscFunctionReturn(0);
3404 }
3405 
3406 #undef __FUNCT__
3407 #define __FUNCT__ "TSSetPostStep"
3408 /*@C
3409   TSSetPostStep - Sets the general-purpose function
3410   called once at the end of each time step.
3411 
3412   Logically Collective on TS
3413 
3414   Input Parameters:
3415 + ts   - The TS context obtained from TSCreate()
3416 - func - The function
3417 
3418   Calling sequence of func:
3419 $ func (TS ts);
3420 
3421   Notes:
3422   The function set by TSSetPostStep() is called after each successful step. The solution vector X
3423   obtained by TSGetSolution() may be different than that computed at the step end if the event handler
3424   locates an event and TSPostEvent() modifies it. Use TSSetPostEvaluate() if an unmodified solution is needed instead.
3425 
3426   Level: intermediate
3427 
3428 .keywords: TS, timestep
3429 .seealso: TSSetPreStep(), TSSetPreStage(), TSSetPostEvaluate(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3430 @*/
3431 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3432 {
3433   PetscFunctionBegin;
3434   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3435   ts->poststep = func;
3436   PetscFunctionReturn(0);
3437 }
3438 
3439 #undef __FUNCT__
3440 #define __FUNCT__ "TSPostStep"
3441 /*@
3442   TSPostStep - Runs the user-defined post-step function.
3443 
3444   Collective on TS
3445 
3446   Input Parameters:
3447 . ts   - The TS context obtained from TSCreate()
3448 
3449   Notes:
3450   TSPostStep() is typically used within time stepping implementations,
3451   so most users would not generally call this routine themselves.
3452 
3453   Level: developer
3454 
3455 .keywords: TS, timestep
3456 @*/
3457 PetscErrorCode  TSPostStep(TS ts)
3458 {
3459   PetscErrorCode ierr;
3460 
3461   PetscFunctionBegin;
3462   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3463   if (ts->poststep) {
3464     PetscStackCallStandard((*ts->poststep),(ts));
3465   }
3466   PetscFunctionReturn(0);
3467 }
3468 
3469 /* ------------ Routines to set performance monitoring options ----------- */
3470 
3471 #undef __FUNCT__
3472 #define __FUNCT__ "TSMonitorSet"
3473 /*@C
3474    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3475    timestep to display the iteration's  progress.
3476 
3477    Logically Collective on TS
3478 
3479    Input Parameters:
3480 +  ts - the TS context obtained from TSCreate()
3481 .  monitor - monitoring routine
3482 .  mctx - [optional] user-defined context for private data for the
3483              monitor routine (use NULL if no context is desired)
3484 -  monitordestroy - [optional] routine that frees monitor context
3485           (may be NULL)
3486 
3487    Calling sequence of monitor:
3488 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3489 
3490 +    ts - the TS context
3491 .    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)
3492 .    time - current time
3493 .    u - current iterate
3494 -    mctx - [optional] monitoring context
3495 
3496    Notes:
3497    This routine adds an additional monitor to the list of monitors that
3498    already has been loaded.
3499 
3500    Fortran notes: Only a single monitor function can be set for each TS object
3501 
3502    Level: intermediate
3503 
3504 .keywords: TS, timestep, set, monitor
3505 
3506 .seealso: TSMonitorDefault(), TSMonitorCancel()
3507 @*/
3508 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3509 {
3510   PetscErrorCode ierr;
3511   PetscInt       i;
3512   PetscBool      identical;
3513 
3514   PetscFunctionBegin;
3515   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3516   for (i=0; i<ts->numbermonitors;i++) {
3517     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3518     if (identical) PetscFunctionReturn(0);
3519   }
3520   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3521   ts->monitor[ts->numbermonitors]          = monitor;
3522   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3523   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3524   PetscFunctionReturn(0);
3525 }
3526 
3527 #undef __FUNCT__
3528 #define __FUNCT__ "TSMonitorCancel"
3529 /*@C
3530    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3531 
3532    Logically Collective on TS
3533 
3534    Input Parameters:
3535 .  ts - the TS context obtained from TSCreate()
3536 
3537    Notes:
3538    There is no way to remove a single, specific monitor.
3539 
3540    Level: intermediate
3541 
3542 .keywords: TS, timestep, set, monitor
3543 
3544 .seealso: TSMonitorDefault(), TSMonitorSet()
3545 @*/
3546 PetscErrorCode  TSMonitorCancel(TS ts)
3547 {
3548   PetscErrorCode ierr;
3549   PetscInt       i;
3550 
3551   PetscFunctionBegin;
3552   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3553   for (i=0; i<ts->numbermonitors; i++) {
3554     if (ts->monitordestroy[i]) {
3555       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3556     }
3557   }
3558   ts->numbermonitors = 0;
3559   PetscFunctionReturn(0);
3560 }
3561 
3562 #undef __FUNCT__
3563 #define __FUNCT__ "TSMonitorDefault"
3564 /*@C
3565    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3566 
3567    Level: intermediate
3568 
3569 .keywords: TS, set, monitor
3570 
3571 .seealso:  TSMonitorSet()
3572 @*/
3573 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3574 {
3575   PetscErrorCode ierr;
3576   PetscViewer    viewer =  vf->viewer;
3577   PetscBool      iascii,ibinary;
3578 
3579   PetscFunctionBegin;
3580   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3581   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3582   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3583   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3584   if (iascii) {
3585     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3586     if (step == -1){ /* this indicates it is an interpolated solution */
3587       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3588     } else {
3589       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3590     }
3591     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3592   } else if (ibinary) {
3593     PetscMPIInt rank;
3594     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3595     if (!rank) {
3596       PetscBool skipHeader;
3597       PetscInt  classid = REAL_FILE_CLASSID;
3598 
3599       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3600       if (!skipHeader) {
3601          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3602        }
3603       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3604     } else {
3605       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3606     }
3607   }
3608   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3609   PetscFunctionReturn(0);
3610 }
3611 
3612 #undef __FUNCT__
3613 #define __FUNCT__ "TSAdjointMonitorSet"
3614 /*@C
3615    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3616    timestep to display the iteration's  progress.
3617 
3618    Logically Collective on TS
3619 
3620    Input Parameters:
3621 +  ts - the TS context obtained from TSCreate()
3622 .  adjointmonitor - monitoring routine
3623 .  adjointmctx - [optional] user-defined context for private data for the
3624              monitor routine (use NULL if no context is desired)
3625 -  adjointmonitordestroy - [optional] routine that frees monitor context
3626           (may be NULL)
3627 
3628    Calling sequence of monitor:
3629 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3630 
3631 +    ts - the TS context
3632 .    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
3633                                been interpolated to)
3634 .    time - current time
3635 .    u - current iterate
3636 .    numcost - number of cost functionos
3637 .    lambda - sensitivities to initial conditions
3638 .    mu - sensitivities to parameters
3639 -    adjointmctx - [optional] adjoint monitoring context
3640 
3641    Notes:
3642    This routine adds an additional monitor to the list of monitors that
3643    already has been loaded.
3644 
3645    Fortran notes: Only a single monitor function can be set for each TS object
3646 
3647    Level: intermediate
3648 
3649 .keywords: TS, timestep, set, adjoint, monitor
3650 
3651 .seealso: TSAdjointMonitorCancel()
3652 @*/
3653 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3654 {
3655   PetscErrorCode ierr;
3656   PetscInt       i;
3657   PetscBool      identical;
3658 
3659   PetscFunctionBegin;
3660   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3661   for (i=0; i<ts->numbermonitors;i++) {
3662     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3663     if (identical) PetscFunctionReturn(0);
3664   }
3665   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3666   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3667   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3668   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3669   PetscFunctionReturn(0);
3670 }
3671 
3672 #undef __FUNCT__
3673 #define __FUNCT__ "TSAdjointMonitorCancel"
3674 /*@C
3675    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3676 
3677    Logically Collective on TS
3678 
3679    Input Parameters:
3680 .  ts - the TS context obtained from TSCreate()
3681 
3682    Notes:
3683    There is no way to remove a single, specific monitor.
3684 
3685    Level: intermediate
3686 
3687 .keywords: TS, timestep, set, adjoint, monitor
3688 
3689 .seealso: TSAdjointMonitorSet()
3690 @*/
3691 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3692 {
3693   PetscErrorCode ierr;
3694   PetscInt       i;
3695 
3696   PetscFunctionBegin;
3697   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3698   for (i=0; i<ts->numberadjointmonitors; i++) {
3699     if (ts->adjointmonitordestroy[i]) {
3700       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3701     }
3702   }
3703   ts->numberadjointmonitors = 0;
3704   PetscFunctionReturn(0);
3705 }
3706 
3707 #undef __FUNCT__
3708 #define __FUNCT__ "TSAdjointMonitorDefault"
3709 /*@C
3710    TSAdjointMonitorDefault - the default monitor of adjoint computations
3711 
3712    Level: intermediate
3713 
3714 .keywords: TS, set, monitor
3715 
3716 .seealso: TSAdjointMonitorSet()
3717 @*/
3718 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3719 {
3720   PetscErrorCode ierr;
3721   PetscViewer    viewer = vf->viewer;
3722 
3723   PetscFunctionBegin;
3724   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3725   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3726   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3727   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3728   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3729   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3730   PetscFunctionReturn(0);
3731 }
3732 
3733 #undef __FUNCT__
3734 #define __FUNCT__ "TSInterpolate"
3735 /*@
3736    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3737 
3738    Collective on TS
3739 
3740    Input Argument:
3741 +  ts - time stepping context
3742 -  t - time to interpolate to
3743 
3744    Output Argument:
3745 .  U - state at given time
3746 
3747    Level: intermediate
3748 
3749    Developer Notes:
3750    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3751 
3752 .keywords: TS, set
3753 
3754 .seealso: TSSetExactFinalTime(), TSSolve()
3755 @*/
3756 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3757 {
3758   PetscErrorCode ierr;
3759 
3760   PetscFunctionBegin;
3761   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3762   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3763   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);
3764   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3765   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3766   PetscFunctionReturn(0);
3767 }
3768 
3769 #undef __FUNCT__
3770 #define __FUNCT__ "TSStep"
3771 /*@
3772    TSStep - Steps one time step
3773 
3774    Collective on TS
3775 
3776    Input Parameter:
3777 .  ts - the TS context obtained from TSCreate()
3778 
3779    Level: developer
3780 
3781    Notes:
3782    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3783 
3784    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3785    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3786 
3787    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3788    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3789 
3790 .keywords: TS, timestep, solve
3791 
3792 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3793 @*/
3794 PetscErrorCode  TSStep(TS ts)
3795 {
3796   PetscErrorCode   ierr;
3797   static PetscBool cite = PETSC_FALSE;
3798   PetscReal        ptime;
3799 
3800   PetscFunctionBegin;
3801   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3802   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3803                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3804                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3805                                 "  type        = {Preprint},\n"
3806                                 "  number      = {ANL/MCS-P5061-0114},\n"
3807                                 "  institution = {Argonne National Laboratory},\n"
3808                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3809 
3810   ierr = TSSetUp(ts);CHKERRQ(ierr);
3811   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3812 
3813   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()");
3814   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");
3815 
3816   if (!ts->steps) ts->ptime_prev = ts->ptime;
3817   ts->reason = TS_CONVERGED_ITERATING;
3818   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3819   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3820   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3821   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3822   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3823   ts->ptime_prev = ptime;
3824   ts->steps++; ts->total_steps++;
3825   ts->steprollback = PETSC_FALSE;
3826   ts->steprestart  = PETSC_FALSE;
3827 
3828   if (ts->reason < 0) {
3829     if (ts->errorifstepfailed) {
3830       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]);
3831       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3832     }
3833   } else if (!ts->reason) {
3834     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3835     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3836   }
3837   PetscFunctionReturn(0);
3838 }
3839 
3840 #undef __FUNCT__
3841 #define __FUNCT__ "TSAdjointStep"
3842 /*@
3843    TSAdjointStep - Steps one time step backward in the adjoint run
3844 
3845    Collective on TS
3846 
3847    Input Parameter:
3848 .  ts - the TS context obtained from TSCreate()
3849 
3850    Level: intermediate
3851 
3852 .keywords: TS, adjoint, step
3853 
3854 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3855 @*/
3856 PetscErrorCode  TSAdjointStep(TS ts)
3857 {
3858   DM               dm;
3859   PetscErrorCode   ierr;
3860 
3861   PetscFunctionBegin;
3862   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3863   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3864   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3865 
3866   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3867 
3868   ts->reason = TS_CONVERGED_ITERATING;
3869   ts->ptime_prev = ts->ptime;
3870   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);
3871   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3872   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3873   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3874   ts->steps++; ts->total_steps--;
3875 
3876   if (ts->reason < 0) {
3877     if (ts->errorifstepfailed) {
3878       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]);
3879       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]);
3880       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3881     }
3882   } else if (!ts->reason) {
3883     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3884   }
3885   PetscFunctionReturn(0);
3886 }
3887 
3888 #undef __FUNCT__
3889 #define __FUNCT__ "TSEvaluateWLTE"
3890 /*@
3891    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3892    at the end of a time step with a given order of accuracy.
3893 
3894    Collective on TS
3895 
3896    Input Arguments:
3897 +  ts - time stepping context
3898 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3899 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3900 
3901    Output Arguments:
3902 +  order - optional, the actual order of the error evaluation
3903 -  wlte - the weighted local truncation error norm
3904 
3905    Level: advanced
3906 
3907    Notes:
3908    If the timestepper cannot evaluate the error in a particular step
3909    (eg. in the first step or restart steps after event handling),
3910    this routine returns wlte=-1.0 .
3911 
3912 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3913 @*/
3914 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3915 {
3916   PetscErrorCode ierr;
3917 
3918   PetscFunctionBegin;
3919   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3920   PetscValidType(ts,1);
3921   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3922   if (order) PetscValidIntPointer(order,3);
3923   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3924   PetscValidRealPointer(wlte,4);
3925   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3926   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3927   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3928   PetscFunctionReturn(0);
3929 }
3930 
3931 #undef __FUNCT__
3932 #define __FUNCT__ "TSEvaluateStep"
3933 /*@
3934    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3935 
3936    Collective on TS
3937 
3938    Input Arguments:
3939 +  ts - time stepping context
3940 .  order - desired order of accuracy
3941 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3942 
3943    Output Arguments:
3944 .  U - state at the end of the current step
3945 
3946    Level: advanced
3947 
3948    Notes:
3949    This function cannot be called until all stages have been evaluated.
3950    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.
3951 
3952 .seealso: TSStep(), TSAdapt
3953 @*/
3954 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3955 {
3956   PetscErrorCode ierr;
3957 
3958   PetscFunctionBegin;
3959   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3960   PetscValidType(ts,1);
3961   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3962   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3963   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3964   PetscFunctionReturn(0);
3965 }
3966 
3967 #undef __FUNCT__
3968 #define __FUNCT__ "TSForwardCostIntegral"
3969 /*@
3970  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3971 
3972  Collective on TS
3973 
3974  Input Arguments:
3975  .  ts - time stepping context
3976 
3977  Level: advanced
3978 
3979  Notes:
3980  This function cannot be called until TSStep() has been completed.
3981 
3982  .seealso: TSSolve(), TSAdjointCostIntegral()
3983  @*/
3984 PetscErrorCode TSForwardCostIntegral(TS ts)
3985 {
3986     PetscErrorCode ierr;
3987     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3988     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);
3989     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3990     PetscFunctionReturn(0);
3991 }
3992 
3993 #undef __FUNCT__
3994 #define __FUNCT__ "TSSolve"
3995 /*@
3996    TSSolve - Steps the requested number of timesteps.
3997 
3998    Collective on TS
3999 
4000    Input Parameter:
4001 +  ts - the TS context obtained from TSCreate()
4002 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
4003                              otherwise must contain the initial conditions and will contain the solution at the final requested time
4004 
4005    Level: beginner
4006 
4007    Notes:
4008    The final time returned by this function may be different from the time of the internally
4009    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4010    stepped over the final time.
4011 
4012 .keywords: TS, timestep, solve
4013 
4014 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4015 @*/
4016 PetscErrorCode TSSolve(TS ts,Vec u)
4017 {
4018   Vec               solution;
4019   PetscErrorCode    ierr;
4020 
4021   PetscFunctionBegin;
4022   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4023   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4024 
4025   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 */
4026     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4027     if (!ts->vec_sol || u == ts->vec_sol) {
4028       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4029       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4030       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4031     }
4032     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4033   } else if (u) {
4034     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4035   }
4036   ierr = TSSetUp(ts);CHKERRQ(ierr);
4037   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4038 
4039   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()");
4040   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");
4041 
4042   /* reset time step and iteration counters */
4043   ts->steps             = 0;
4044   ts->ksp_its           = 0;
4045   ts->snes_its          = 0;
4046   ts->num_snes_failures = 0;
4047   ts->reject            = 0;
4048   ts->reason            = TS_CONVERGED_ITERATING;
4049 
4050   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4051 
4052   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4053     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4054     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4055     ts->solvetime = ts->ptime;
4056     solution = ts->vec_sol;
4057   } else { /* Step the requested number of timesteps. */
4058     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4059     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4060     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4061     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4062     ts->steprollback = PETSC_FALSE;
4063     ts->steprestart  = PETSC_TRUE;
4064 
4065     while (!ts->reason) {
4066       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4067       if (!ts->steprollback) {
4068         ierr = TSPreStep(ts);CHKERRQ(ierr);
4069       }
4070       ierr = TSStep(ts);CHKERRQ(ierr);
4071       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4072         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4073       }
4074       ierr = TSPostEvaluate(ts);CHKERRQ(ierr);
4075       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. */
4076       if (!ts->steprollback) {
4077         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4078         ierr = TSPostStep(ts);CHKERRQ(ierr);
4079       }
4080     }
4081     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4082 
4083     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4084       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4085       ts->solvetime = ts->max_time;
4086       solution = u;
4087       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4088     } else {
4089       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4090       ts->solvetime = ts->ptime;
4091       solution = ts->vec_sol;
4092     }
4093   }
4094 
4095   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4096   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4097   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4098   if (ts->adjoint_solve) {
4099     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4100   }
4101   PetscFunctionReturn(0);
4102 }
4103 
4104 #undef __FUNCT__
4105 #define __FUNCT__ "TSAdjointCostIntegral"
4106 /*@
4107  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4108 
4109  Collective on TS
4110 
4111  Input Arguments:
4112  .  ts - time stepping context
4113 
4114  Level: advanced
4115 
4116  Notes:
4117  This function cannot be called until TSAdjointStep() has been completed.
4118 
4119  .seealso: TSAdjointSolve(), TSAdjointStep
4120  @*/
4121 PetscErrorCode TSAdjointCostIntegral(TS ts)
4122 {
4123     PetscErrorCode ierr;
4124     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4125     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);
4126     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4127     PetscFunctionReturn(0);
4128 }
4129 
4130 #undef __FUNCT__
4131 #define __FUNCT__ "TSAdjointSolve"
4132 /*@
4133    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4134 
4135    Collective on TS
4136 
4137    Input Parameter:
4138 .  ts - the TS context obtained from TSCreate()
4139 
4140    Options Database:
4141 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4142 
4143    Level: intermediate
4144 
4145    Notes:
4146    This must be called after a call to TSSolve() that solves the forward problem
4147 
4148    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4149 
4150 .keywords: TS, timestep, solve
4151 
4152 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4153 @*/
4154 PetscErrorCode TSAdjointSolve(TS ts)
4155 {
4156   PetscErrorCode    ierr;
4157 
4158   PetscFunctionBegin;
4159   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4160   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4161 
4162   /* reset time step and iteration counters */
4163   ts->steps             = 0;
4164   ts->ksp_its           = 0;
4165   ts->snes_its          = 0;
4166   ts->num_snes_failures = 0;
4167   ts->reject            = 0;
4168   ts->reason            = TS_CONVERGED_ITERATING;
4169 
4170   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4171 
4172   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4173   while (!ts->reason) {
4174     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4175     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4176     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4177     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4178     if (ts->vec_costintegral && !ts->costintegralfwd) {
4179       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4180     }
4181   }
4182   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4183   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4184   ts->solvetime = ts->ptime;
4185   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4186   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4187   PetscFunctionReturn(0);
4188 }
4189 
4190 #undef __FUNCT__
4191 #define __FUNCT__ "TSMonitor"
4192 /*@C
4193    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4194 
4195    Collective on TS
4196 
4197    Input Parameters:
4198 +  ts - time stepping context obtained from TSCreate()
4199 .  step - step number that has just completed
4200 .  ptime - model time of the state
4201 -  u - state at the current model time
4202 
4203    Notes:
4204    TSMonitor() is typically used automatically within the time stepping implementations.
4205    Users would almost never call this routine directly.
4206 
4207    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4208 
4209    Level: developer
4210 
4211 .keywords: TS, timestep
4212 @*/
4213 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4214 {
4215   DM             dm;
4216   PetscInt       i,n = ts->numbermonitors;
4217   PetscErrorCode ierr;
4218 
4219   PetscFunctionBegin;
4220   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4221   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4222 
4223   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4224   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4225 
4226   ierr = VecLockPush(u);CHKERRQ(ierr);
4227   for (i=0; i<n; i++) {
4228     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4229   }
4230   ierr = VecLockPop(u);CHKERRQ(ierr);
4231   PetscFunctionReturn(0);
4232 }
4233 
4234 #undef __FUNCT__
4235 #define __FUNCT__ "TSAdjointMonitor"
4236 /*@C
4237    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4238 
4239    Collective on TS
4240 
4241    Input Parameters:
4242 +  ts - time stepping context obtained from TSCreate()
4243 .  step - step number that has just completed
4244 .  ptime - model time of the state
4245 .  u - state at the current model time
4246 .  numcost - number of cost functions (dimension of lambda  or mu)
4247 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4248 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4249 
4250    Notes:
4251    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4252    Users would almost never call this routine directly.
4253 
4254    Level: developer
4255 
4256 .keywords: TS, timestep
4257 @*/
4258 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4259 {
4260   PetscErrorCode ierr;
4261   PetscInt       i,n = ts->numberadjointmonitors;
4262 
4263   PetscFunctionBegin;
4264   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4265   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4266   ierr = VecLockPush(u);CHKERRQ(ierr);
4267   for (i=0; i<n; i++) {
4268     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4269   }
4270   ierr = VecLockPop(u);CHKERRQ(ierr);
4271   PetscFunctionReturn(0);
4272 }
4273 
4274 /* ------------------------------------------------------------------------*/
4275 #undef __FUNCT__
4276 #define __FUNCT__ "TSMonitorLGCtxCreate"
4277 /*@C
4278    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4279    TS to monitor the solution process graphically in various ways
4280 
4281    Collective on TS
4282 
4283    Input Parameters:
4284 +  host - the X display to open, or null for the local machine
4285 .  label - the title to put in the title bar
4286 .  x, y - the screen coordinates of the upper left coordinate of the window
4287 .  m, n - the screen width and height in pixels
4288 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4289 
4290    Output Parameter:
4291 .  ctx - the context
4292 
4293    Options Database Key:
4294 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4295 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4296 .  -ts_monitor_lg_error -  monitor the error
4297 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4298 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4299 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4300 
4301    Notes:
4302    Use TSMonitorLGCtxDestroy() to destroy.
4303 
4304    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4305 
4306    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4307    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
4308    as the first argument.
4309 
4310    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4311 
4312 
4313    Level: intermediate
4314 
4315 .keywords: TS, monitor, line graph, residual
4316 
4317 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4318            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4319            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4320            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4321            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4322 
4323 @*/
4324 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4325 {
4326   PetscDraw      draw;
4327   PetscErrorCode ierr;
4328 
4329   PetscFunctionBegin;
4330   ierr = PetscNew(ctx);CHKERRQ(ierr);
4331   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4332   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4333   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4334   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4335   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4336   (*ctx)->howoften = howoften;
4337   PetscFunctionReturn(0);
4338 }
4339 
4340 #undef __FUNCT__
4341 #define __FUNCT__ "TSMonitorLGTimeStep"
4342 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4343 {
4344   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4345   PetscReal      x   = ptime,y;
4346   PetscErrorCode ierr;
4347 
4348   PetscFunctionBegin;
4349   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4350   if (!step) {
4351     PetscDrawAxis axis;
4352     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4353     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4354     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4355   }
4356   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4357   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4358   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4359     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4360     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4361   }
4362   PetscFunctionReturn(0);
4363 }
4364 
4365 #undef __FUNCT__
4366 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4367 /*@C
4368    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4369    with TSMonitorLGCtxCreate().
4370 
4371    Collective on TSMonitorLGCtx
4372 
4373    Input Parameter:
4374 .  ctx - the monitor context
4375 
4376    Level: intermediate
4377 
4378 .keywords: TS, monitor, line graph, destroy
4379 
4380 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4381 @*/
4382 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4383 {
4384   PetscErrorCode ierr;
4385 
4386   PetscFunctionBegin;
4387   if ((*ctx)->transformdestroy) {
4388     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4389   }
4390   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4391   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4392   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4393   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4394   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4395   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4396   PetscFunctionReturn(0);
4397 }
4398 
4399 #undef __FUNCT__
4400 #define __FUNCT__ "TSGetTime"
4401 /*@
4402    TSGetTime - Gets the time of the most recently completed step.
4403 
4404    Not Collective
4405 
4406    Input Parameter:
4407 .  ts - the TS context obtained from TSCreate()
4408 
4409    Output Parameter:
4410 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4411 
4412    Level: beginner
4413 
4414    Note:
4415    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4416    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4417 
4418 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4419 
4420 .keywords: TS, get, time
4421 @*/
4422 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4423 {
4424   PetscFunctionBegin;
4425   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4426   PetscValidRealPointer(t,2);
4427   *t = ts->ptime;
4428   PetscFunctionReturn(0);
4429 }
4430 
4431 #undef __FUNCT__
4432 #define __FUNCT__ "TSGetPrevTime"
4433 /*@
4434    TSGetPrevTime - Gets the starting time of the previously completed step.
4435 
4436    Not Collective
4437 
4438    Input Parameter:
4439 .  ts - the TS context obtained from TSCreate()
4440 
4441    Output Parameter:
4442 .  t  - the previous time
4443 
4444    Level: beginner
4445 
4446 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4447 
4448 .keywords: TS, get, time
4449 @*/
4450 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4451 {
4452   PetscFunctionBegin;
4453   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4454   PetscValidRealPointer(t,2);
4455   *t = ts->ptime_prev;
4456   PetscFunctionReturn(0);
4457 }
4458 
4459 #undef __FUNCT__
4460 #define __FUNCT__ "TSSetTime"
4461 /*@
4462    TSSetTime - Allows one to reset the time.
4463 
4464    Logically Collective on TS
4465 
4466    Input Parameters:
4467 +  ts - the TS context obtained from TSCreate()
4468 -  time - the time
4469 
4470    Level: intermediate
4471 
4472 .seealso: TSGetTime(), TSSetDuration()
4473 
4474 .keywords: TS, set, time
4475 @*/
4476 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4477 {
4478   PetscFunctionBegin;
4479   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4480   PetscValidLogicalCollectiveReal(ts,t,2);
4481   ts->ptime = t;
4482   PetscFunctionReturn(0);
4483 }
4484 
4485 #undef __FUNCT__
4486 #define __FUNCT__ "TSSetOptionsPrefix"
4487 /*@C
4488    TSSetOptionsPrefix - Sets the prefix used for searching for all
4489    TS options in the database.
4490 
4491    Logically Collective on TS
4492 
4493    Input Parameter:
4494 +  ts     - The TS context
4495 -  prefix - The prefix to prepend to all option names
4496 
4497    Notes:
4498    A hyphen (-) must NOT be given at the beginning of the prefix name.
4499    The first character of all runtime options is AUTOMATICALLY the
4500    hyphen.
4501 
4502    Level: advanced
4503 
4504 .keywords: TS, set, options, prefix, database
4505 
4506 .seealso: TSSetFromOptions()
4507 
4508 @*/
4509 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4510 {
4511   PetscErrorCode ierr;
4512   SNES           snes;
4513 
4514   PetscFunctionBegin;
4515   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4516   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4517   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4518   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4519   PetscFunctionReturn(0);
4520 }
4521 
4522 
4523 #undef __FUNCT__
4524 #define __FUNCT__ "TSAppendOptionsPrefix"
4525 /*@C
4526    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4527    TS options in the database.
4528 
4529    Logically Collective on TS
4530 
4531    Input Parameter:
4532 +  ts     - The TS context
4533 -  prefix - The prefix to prepend to all option names
4534 
4535    Notes:
4536    A hyphen (-) must NOT be given at the beginning of the prefix name.
4537    The first character of all runtime options is AUTOMATICALLY the
4538    hyphen.
4539 
4540    Level: advanced
4541 
4542 .keywords: TS, append, options, prefix, database
4543 
4544 .seealso: TSGetOptionsPrefix()
4545 
4546 @*/
4547 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4548 {
4549   PetscErrorCode ierr;
4550   SNES           snes;
4551 
4552   PetscFunctionBegin;
4553   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4554   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4555   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4556   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4557   PetscFunctionReturn(0);
4558 }
4559 
4560 #undef __FUNCT__
4561 #define __FUNCT__ "TSGetOptionsPrefix"
4562 /*@C
4563    TSGetOptionsPrefix - Sets the prefix used for searching for all
4564    TS options in the database.
4565 
4566    Not Collective
4567 
4568    Input Parameter:
4569 .  ts - The TS context
4570 
4571    Output Parameter:
4572 .  prefix - A pointer to the prefix string used
4573 
4574    Notes: On the fortran side, the user should pass in a string 'prifix' of
4575    sufficient length to hold the prefix.
4576 
4577    Level: intermediate
4578 
4579 .keywords: TS, get, options, prefix, database
4580 
4581 .seealso: TSAppendOptionsPrefix()
4582 @*/
4583 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4584 {
4585   PetscErrorCode ierr;
4586 
4587   PetscFunctionBegin;
4588   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4589   PetscValidPointer(prefix,2);
4590   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4591   PetscFunctionReturn(0);
4592 }
4593 
4594 #undef __FUNCT__
4595 #define __FUNCT__ "TSGetRHSJacobian"
4596 /*@C
4597    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4598 
4599    Not Collective, but parallel objects are returned if TS is parallel
4600 
4601    Input Parameter:
4602 .  ts  - The TS context obtained from TSCreate()
4603 
4604    Output Parameters:
4605 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4606 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4607 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4608 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4609 
4610    Notes: You can pass in NULL for any return argument you do not need.
4611 
4612    Level: intermediate
4613 
4614 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4615 
4616 .keywords: TS, timestep, get, matrix, Jacobian
4617 @*/
4618 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4619 {
4620   PetscErrorCode ierr;
4621   SNES           snes;
4622   DM             dm;
4623 
4624   PetscFunctionBegin;
4625   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4626   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4627   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4628   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4629   PetscFunctionReturn(0);
4630 }
4631 
4632 #undef __FUNCT__
4633 #define __FUNCT__ "TSGetIJacobian"
4634 /*@C
4635    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4636 
4637    Not Collective, but parallel objects are returned if TS is parallel
4638 
4639    Input Parameter:
4640 .  ts  - The TS context obtained from TSCreate()
4641 
4642    Output Parameters:
4643 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4644 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4645 .  f   - The function to compute the matrices
4646 - ctx - User-defined context for Jacobian evaluation routine
4647 
4648    Notes: You can pass in NULL for any return argument you do not need.
4649 
4650    Level: advanced
4651 
4652 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4653 
4654 .keywords: TS, timestep, get, matrix, Jacobian
4655 @*/
4656 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4657 {
4658   PetscErrorCode ierr;
4659   SNES           snes;
4660   DM             dm;
4661 
4662   PetscFunctionBegin;
4663   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4664   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4665   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4666   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4667   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4668   PetscFunctionReturn(0);
4669 }
4670 
4671 
4672 #undef __FUNCT__
4673 #define __FUNCT__ "TSMonitorDrawSolution"
4674 /*@C
4675    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4676    VecView() for the solution at each timestep
4677 
4678    Collective on TS
4679 
4680    Input Parameters:
4681 +  ts - the TS context
4682 .  step - current time-step
4683 .  ptime - current time
4684 -  dummy - either a viewer or NULL
4685 
4686    Options Database:
4687 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4688 
4689    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4690        will look bad
4691 
4692    Level: intermediate
4693 
4694 .keywords: TS,  vector, monitor, view
4695 
4696 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4697 @*/
4698 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4699 {
4700   PetscErrorCode   ierr;
4701   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4702   PetscDraw        draw;
4703 
4704   PetscFunctionBegin;
4705   if (!step && ictx->showinitial) {
4706     if (!ictx->initialsolution) {
4707       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4708     }
4709     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4710   }
4711   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4712 
4713   if (ictx->showinitial) {
4714     PetscReal pause;
4715     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4716     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4717     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4718     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4719     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4720   }
4721   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4722   if (ictx->showtimestepandtime) {
4723     PetscReal xl,yl,xr,yr,h;
4724     char      time[32];
4725 
4726     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4727     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4728     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4729     h    = yl + .95*(yr - yl);
4730     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4731     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4732   }
4733 
4734   if (ictx->showinitial) {
4735     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4736   }
4737   PetscFunctionReturn(0);
4738 }
4739 
4740 #undef __FUNCT__
4741 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4742 /*@C
4743    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4744    VecView() for the sensitivities to initial states at each timestep
4745 
4746    Collective on TS
4747 
4748    Input Parameters:
4749 +  ts - the TS context
4750 .  step - current time-step
4751 .  ptime - current time
4752 .  u - current state
4753 .  numcost - number of cost functions
4754 .  lambda - sensitivities to initial conditions
4755 .  mu - sensitivities to parameters
4756 -  dummy - either a viewer or NULL
4757 
4758    Level: intermediate
4759 
4760 .keywords: TS,  vector, adjoint, monitor, view
4761 
4762 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4763 @*/
4764 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4765 {
4766   PetscErrorCode   ierr;
4767   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4768   PetscDraw        draw;
4769   PetscReal        xl,yl,xr,yr,h;
4770   char             time[32];
4771 
4772   PetscFunctionBegin;
4773   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4774 
4775   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4776   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4777   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4778   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4779   h    = yl + .95*(yr - yl);
4780   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4781   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4782   PetscFunctionReturn(0);
4783 }
4784 
4785 #undef __FUNCT__
4786 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4787 /*@C
4788    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4789 
4790    Collective on TS
4791 
4792    Input Parameters:
4793 +  ts - the TS context
4794 .  step - current time-step
4795 .  ptime - current time
4796 -  dummy - either a viewer or NULL
4797 
4798    Level: intermediate
4799 
4800 .keywords: TS,  vector, monitor, view
4801 
4802 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4803 @*/
4804 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4805 {
4806   PetscErrorCode    ierr;
4807   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4808   PetscDraw         draw;
4809   PetscDrawAxis     axis;
4810   PetscInt          n;
4811   PetscMPIInt       size;
4812   PetscReal         U0,U1,xl,yl,xr,yr,h;
4813   char              time[32];
4814   const PetscScalar *U;
4815 
4816   PetscFunctionBegin;
4817   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4818   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4819   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4820   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4821 
4822   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4823   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4824   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4825   if (!step) {
4826     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4827     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4828   }
4829 
4830   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4831   U0 = PetscRealPart(U[0]);
4832   U1 = PetscRealPart(U[1]);
4833   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4834   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4835 
4836   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4837   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4838   if (ictx->showtimestepandtime) {
4839     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4840     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4841     h    = yl + .95*(yr - yl);
4842     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4843   }
4844   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4845   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4846   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4847   PetscFunctionReturn(0);
4848 }
4849 
4850 
4851 #undef __FUNCT__
4852 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4853 /*@C
4854    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4855 
4856    Collective on TS
4857 
4858    Input Parameters:
4859 .    ctx - the monitor context
4860 
4861    Level: intermediate
4862 
4863 .keywords: TS,  vector, monitor, view
4864 
4865 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4866 @*/
4867 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4868 {
4869   PetscErrorCode ierr;
4870 
4871   PetscFunctionBegin;
4872   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4873   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4874   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4875   PetscFunctionReturn(0);
4876 }
4877 
4878 #undef __FUNCT__
4879 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4880 /*@C
4881    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4882 
4883    Collective on TS
4884 
4885    Input Parameter:
4886 .    ts - time-step context
4887 
4888    Output Patameter:
4889 .    ctx - the monitor context
4890 
4891    Options Database:
4892 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4893 
4894    Level: intermediate
4895 
4896 .keywords: TS,  vector, monitor, view
4897 
4898 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4899 @*/
4900 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4901 {
4902   PetscErrorCode   ierr;
4903 
4904   PetscFunctionBegin;
4905   ierr = PetscNew(ctx);CHKERRQ(ierr);
4906   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4907   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4908 
4909   (*ctx)->howoften    = howoften;
4910   (*ctx)->showinitial = PETSC_FALSE;
4911   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4912 
4913   (*ctx)->showtimestepandtime = PETSC_FALSE;
4914   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4915   PetscFunctionReturn(0);
4916 }
4917 
4918 #undef __FUNCT__
4919 #define __FUNCT__ "TSMonitorDrawError"
4920 /*@C
4921    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4922    VecView() for the error at each timestep
4923 
4924    Collective on TS
4925 
4926    Input Parameters:
4927 +  ts - the TS context
4928 .  step - current time-step
4929 .  ptime - current time
4930 -  dummy - either a viewer or NULL
4931 
4932    Level: intermediate
4933 
4934 .keywords: TS,  vector, monitor, view
4935 
4936 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4937 @*/
4938 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4939 {
4940   PetscErrorCode   ierr;
4941   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4942   PetscViewer      viewer = ctx->viewer;
4943   Vec              work;
4944 
4945   PetscFunctionBegin;
4946   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4947   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4948   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4949   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4950   ierr = VecView(work,viewer);CHKERRQ(ierr);
4951   ierr = VecDestroy(&work);CHKERRQ(ierr);
4952   PetscFunctionReturn(0);
4953 }
4954 
4955 #include <petsc/private/dmimpl.h>
4956 #undef __FUNCT__
4957 #define __FUNCT__ "TSSetDM"
4958 /*@
4959    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
4960 
4961    Logically Collective on TS and DM
4962 
4963    Input Parameters:
4964 +  ts - the ODE integrator object
4965 -  dm - the dm, cannot be NULL
4966 
4967    Level: intermediate
4968 
4969 
4970 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4971 @*/
4972 PetscErrorCode  TSSetDM(TS ts,DM dm)
4973 {
4974   PetscErrorCode ierr;
4975   SNES           snes;
4976   DMTS           tsdm;
4977 
4978   PetscFunctionBegin;
4979   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4980   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
4981   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4982   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4983     if (ts->dm->dmts && !dm->dmts) {
4984       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4985       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4986       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4987         tsdm->originaldm = dm;
4988       }
4989     }
4990     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4991   }
4992   ts->dm = dm;
4993 
4994   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4995   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4996   PetscFunctionReturn(0);
4997 }
4998 
4999 #undef __FUNCT__
5000 #define __FUNCT__ "TSGetDM"
5001 /*@
5002    TSGetDM - Gets the DM that may be used by some preconditioners
5003 
5004    Not Collective
5005 
5006    Input Parameter:
5007 . ts - the preconditioner context
5008 
5009    Output Parameter:
5010 .  dm - the dm
5011 
5012    Level: intermediate
5013 
5014 
5015 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5016 @*/
5017 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5018 {
5019   PetscErrorCode ierr;
5020 
5021   PetscFunctionBegin;
5022   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5023   if (!ts->dm) {
5024     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5025     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5026   }
5027   *dm = ts->dm;
5028   PetscFunctionReturn(0);
5029 }
5030 
5031 #undef __FUNCT__
5032 #define __FUNCT__ "SNESTSFormFunction"
5033 /*@
5034    SNESTSFormFunction - Function to evaluate nonlinear residual
5035 
5036    Logically Collective on SNES
5037 
5038    Input Parameter:
5039 + snes - nonlinear solver
5040 . U - the current state at which to evaluate the residual
5041 - ctx - user context, must be a TS
5042 
5043    Output Parameter:
5044 . F - the nonlinear residual
5045 
5046    Notes:
5047    This function is not normally called by users and is automatically registered with the SNES used by TS.
5048    It is most frequently passed to MatFDColoringSetFunction().
5049 
5050    Level: advanced
5051 
5052 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5053 @*/
5054 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5055 {
5056   TS             ts = (TS)ctx;
5057   PetscErrorCode ierr;
5058 
5059   PetscFunctionBegin;
5060   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5061   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5062   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5063   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5064   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5065   PetscFunctionReturn(0);
5066 }
5067 
5068 #undef __FUNCT__
5069 #define __FUNCT__ "SNESTSFormJacobian"
5070 /*@
5071    SNESTSFormJacobian - Function to evaluate the Jacobian
5072 
5073    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 + A - the Jacobian
5082 . B - the preconditioning matrix (may be the same as A)
5083 - flag - indicates any structure change in the matrix
5084 
5085    Notes:
5086    This function is not normally called by users and is automatically registered with the SNES used by TS.
5087 
5088    Level: developer
5089 
5090 .seealso: SNESSetJacobian()
5091 @*/
5092 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5093 {
5094   TS             ts = (TS)ctx;
5095   PetscErrorCode ierr;
5096 
5097   PetscFunctionBegin;
5098   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5099   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5100   PetscValidPointer(A,3);
5101   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5102   PetscValidPointer(B,4);
5103   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5104   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5105   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5106   PetscFunctionReturn(0);
5107 }
5108 
5109 #undef __FUNCT__
5110 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5111 /*@C
5112    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5113 
5114    Collective on TS
5115 
5116    Input Arguments:
5117 +  ts - time stepping context
5118 .  t - time at which to evaluate
5119 .  U - state at which to evaluate
5120 -  ctx - context
5121 
5122    Output Arguments:
5123 .  F - right hand side
5124 
5125    Level: intermediate
5126 
5127    Notes:
5128    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5129    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5130 
5131 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5132 @*/
5133 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5134 {
5135   PetscErrorCode ierr;
5136   Mat            Arhs,Brhs;
5137 
5138   PetscFunctionBegin;
5139   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5140   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5141   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5142   PetscFunctionReturn(0);
5143 }
5144 
5145 #undef __FUNCT__
5146 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5147 /*@C
5148    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5149 
5150    Collective on TS
5151 
5152    Input Arguments:
5153 +  ts - time stepping context
5154 .  t - time at which to evaluate
5155 .  U - state at which to evaluate
5156 -  ctx - context
5157 
5158    Output Arguments:
5159 +  A - pointer to operator
5160 .  B - pointer to preconditioning matrix
5161 -  flg - matrix structure flag
5162 
5163    Level: intermediate
5164 
5165    Notes:
5166    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5167 
5168 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5169 @*/
5170 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5171 {
5172   PetscFunctionBegin;
5173   PetscFunctionReturn(0);
5174 }
5175 
5176 #undef __FUNCT__
5177 #define __FUNCT__ "TSComputeIFunctionLinear"
5178 /*@C
5179    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5180 
5181    Collective on TS
5182 
5183    Input Arguments:
5184 +  ts - time stepping context
5185 .  t - time at which to evaluate
5186 .  U - state at which to evaluate
5187 .  Udot - time derivative of state vector
5188 -  ctx - context
5189 
5190    Output Arguments:
5191 .  F - left hand side
5192 
5193    Level: intermediate
5194 
5195    Notes:
5196    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
5197    user is required to write their own TSComputeIFunction.
5198    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5199    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5200 
5201    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5202 
5203 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5204 @*/
5205 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5206 {
5207   PetscErrorCode ierr;
5208   Mat            A,B;
5209 
5210   PetscFunctionBegin;
5211   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5212   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5213   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5214   PetscFunctionReturn(0);
5215 }
5216 
5217 #undef __FUNCT__
5218 #define __FUNCT__ "TSComputeIJacobianConstant"
5219 /*@C
5220    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5221 
5222    Collective on TS
5223 
5224    Input Arguments:
5225 +  ts - time stepping context
5226 .  t - time at which to evaluate
5227 .  U - state at which to evaluate
5228 .  Udot - time derivative of state vector
5229 .  shift - shift to apply
5230 -  ctx - context
5231 
5232    Output Arguments:
5233 +  A - pointer to operator
5234 .  B - pointer to preconditioning matrix
5235 -  flg - matrix structure flag
5236 
5237    Level: advanced
5238 
5239    Notes:
5240    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5241 
5242    It is only appropriate for problems of the form
5243 
5244 $     M Udot = F(U,t)
5245 
5246   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5247   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5248   an implicit operator of the form
5249 
5250 $    shift*M + J
5251 
5252   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
5253   a copy of M or reassemble it when requested.
5254 
5255 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5256 @*/
5257 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5258 {
5259   PetscErrorCode ierr;
5260 
5261   PetscFunctionBegin;
5262   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5263   ts->ijacobian.shift = shift;
5264   PetscFunctionReturn(0);
5265 }
5266 
5267 #undef __FUNCT__
5268 #define __FUNCT__ "TSGetEquationType"
5269 /*@
5270    TSGetEquationType - Gets the type of the equation that TS is solving.
5271 
5272    Not Collective
5273 
5274    Input Parameter:
5275 .  ts - the TS context
5276 
5277    Output Parameter:
5278 .  equation_type - see TSEquationType
5279 
5280    Level: beginner
5281 
5282 .keywords: TS, equation type
5283 
5284 .seealso: TSSetEquationType(), TSEquationType
5285 @*/
5286 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5287 {
5288   PetscFunctionBegin;
5289   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5290   PetscValidPointer(equation_type,2);
5291   *equation_type = ts->equation_type;
5292   PetscFunctionReturn(0);
5293 }
5294 
5295 #undef __FUNCT__
5296 #define __FUNCT__ "TSSetEquationType"
5297 /*@
5298    TSSetEquationType - Sets the type of the equation that TS is solving.
5299 
5300    Not Collective
5301 
5302    Input Parameter:
5303 +  ts - the TS context
5304 -  equation_type - see TSEquationType
5305 
5306    Level: advanced
5307 
5308 .keywords: TS, equation type
5309 
5310 .seealso: TSGetEquationType(), TSEquationType
5311 @*/
5312 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5313 {
5314   PetscFunctionBegin;
5315   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5316   ts->equation_type = equation_type;
5317   PetscFunctionReturn(0);
5318 }
5319 
5320 #undef __FUNCT__
5321 #define __FUNCT__ "TSGetConvergedReason"
5322 /*@
5323    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5324 
5325    Not Collective
5326 
5327    Input Parameter:
5328 .  ts - the TS context
5329 
5330    Output Parameter:
5331 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5332             manual pages for the individual convergence tests for complete lists
5333 
5334    Level: beginner
5335 
5336    Notes:
5337    Can only be called after the call to TSSolve() is complete.
5338 
5339 .keywords: TS, nonlinear, set, convergence, test
5340 
5341 .seealso: TSSetConvergenceTest(), TSConvergedReason
5342 @*/
5343 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5344 {
5345   PetscFunctionBegin;
5346   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5347   PetscValidPointer(reason,2);
5348   *reason = ts->reason;
5349   PetscFunctionReturn(0);
5350 }
5351 
5352 #undef __FUNCT__
5353 #define __FUNCT__ "TSSetConvergedReason"
5354 /*@
5355    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5356 
5357    Not Collective
5358 
5359    Input Parameter:
5360 +  ts - the TS context
5361 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5362             manual pages for the individual convergence tests for complete lists
5363 
5364    Level: advanced
5365 
5366    Notes:
5367    Can only be called during TSSolve() is active.
5368 
5369 .keywords: TS, nonlinear, set, convergence, test
5370 
5371 .seealso: TSConvergedReason
5372 @*/
5373 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5374 {
5375   PetscFunctionBegin;
5376   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5377   ts->reason = reason;
5378   PetscFunctionReturn(0);
5379 }
5380 
5381 #undef __FUNCT__
5382 #define __FUNCT__ "TSGetSolveTime"
5383 /*@
5384    TSGetSolveTime - Gets the time after a call to TSSolve()
5385 
5386    Not Collective
5387 
5388    Input Parameter:
5389 .  ts - the TS context
5390 
5391    Output Parameter:
5392 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5393 
5394    Level: beginner
5395 
5396    Notes:
5397    Can only be called after the call to TSSolve() is complete.
5398 
5399 .keywords: TS, nonlinear, set, convergence, test
5400 
5401 .seealso: TSSetConvergenceTest(), TSConvergedReason
5402 @*/
5403 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5404 {
5405   PetscFunctionBegin;
5406   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5407   PetscValidPointer(ftime,2);
5408   *ftime = ts->solvetime;
5409   PetscFunctionReturn(0);
5410 }
5411 
5412 #undef __FUNCT__
5413 #define __FUNCT__ "TSGetTotalSteps"
5414 /*@
5415    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5416 
5417    Not Collective
5418 
5419    Input Parameter:
5420 .  ts - the TS context
5421 
5422    Output Parameter:
5423 .  steps - the number of steps
5424 
5425    Level: beginner
5426 
5427    Notes:
5428    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5429 
5430 .keywords: TS, nonlinear, set, convergence, test
5431 
5432 .seealso: TSSetConvergenceTest(), TSConvergedReason
5433 @*/
5434 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5435 {
5436   PetscFunctionBegin;
5437   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5438   PetscValidPointer(steps,2);
5439   *steps = ts->total_steps;
5440   PetscFunctionReturn(0);
5441 }
5442 
5443 #undef __FUNCT__
5444 #define __FUNCT__ "TSGetSNESIterations"
5445 /*@
5446    TSGetSNESIterations - Gets the total number of nonlinear iterations
5447    used by the time integrator.
5448 
5449    Not Collective
5450 
5451    Input Parameter:
5452 .  ts - TS context
5453 
5454    Output Parameter:
5455 .  nits - number of nonlinear iterations
5456 
5457    Notes:
5458    This counter is reset to zero for each successive call to TSSolve().
5459 
5460    Level: intermediate
5461 
5462 .keywords: TS, get, number, nonlinear, iterations
5463 
5464 .seealso:  TSGetKSPIterations()
5465 @*/
5466 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5467 {
5468   PetscFunctionBegin;
5469   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5470   PetscValidIntPointer(nits,2);
5471   *nits = ts->snes_its;
5472   PetscFunctionReturn(0);
5473 }
5474 
5475 #undef __FUNCT__
5476 #define __FUNCT__ "TSGetKSPIterations"
5477 /*@
5478    TSGetKSPIterations - Gets the total number of linear iterations
5479    used by the time integrator.
5480 
5481    Not Collective
5482 
5483    Input Parameter:
5484 .  ts - TS context
5485 
5486    Output Parameter:
5487 .  lits - number of linear iterations
5488 
5489    Notes:
5490    This counter is reset to zero for each successive call to TSSolve().
5491 
5492    Level: intermediate
5493 
5494 .keywords: TS, get, number, linear, iterations
5495 
5496 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5497 @*/
5498 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5499 {
5500   PetscFunctionBegin;
5501   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5502   PetscValidIntPointer(lits,2);
5503   *lits = ts->ksp_its;
5504   PetscFunctionReturn(0);
5505 }
5506 
5507 #undef __FUNCT__
5508 #define __FUNCT__ "TSGetStepRejections"
5509 /*@
5510    TSGetStepRejections - Gets the total number of rejected steps.
5511 
5512    Not Collective
5513 
5514    Input Parameter:
5515 .  ts - TS context
5516 
5517    Output Parameter:
5518 .  rejects - number of steps rejected
5519 
5520    Notes:
5521    This counter is reset to zero for each successive call to TSSolve().
5522 
5523    Level: intermediate
5524 
5525 .keywords: TS, get, number
5526 
5527 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5528 @*/
5529 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5530 {
5531   PetscFunctionBegin;
5532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5533   PetscValidIntPointer(rejects,2);
5534   *rejects = ts->reject;
5535   PetscFunctionReturn(0);
5536 }
5537 
5538 #undef __FUNCT__
5539 #define __FUNCT__ "TSGetSNESFailures"
5540 /*@
5541    TSGetSNESFailures - Gets the total number of failed SNES solves
5542 
5543    Not Collective
5544 
5545    Input Parameter:
5546 .  ts - TS context
5547 
5548    Output Parameter:
5549 .  fails - number of failed nonlinear solves
5550 
5551    Notes:
5552    This counter is reset to zero for each successive call to TSSolve().
5553 
5554    Level: intermediate
5555 
5556 .keywords: TS, get, number
5557 
5558 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5559 @*/
5560 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5561 {
5562   PetscFunctionBegin;
5563   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5564   PetscValidIntPointer(fails,2);
5565   *fails = ts->num_snes_failures;
5566   PetscFunctionReturn(0);
5567 }
5568 
5569 #undef __FUNCT__
5570 #define __FUNCT__ "TSSetMaxStepRejections"
5571 /*@
5572    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5573 
5574    Not Collective
5575 
5576    Input Parameter:
5577 +  ts - TS context
5578 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5579 
5580    Notes:
5581    The counter is reset to zero for each step
5582 
5583    Options Database Key:
5584  .  -ts_max_reject - Maximum number of step rejections before a step fails
5585 
5586    Level: intermediate
5587 
5588 .keywords: TS, set, maximum, number
5589 
5590 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5591 @*/
5592 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5593 {
5594   PetscFunctionBegin;
5595   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5596   ts->max_reject = rejects;
5597   PetscFunctionReturn(0);
5598 }
5599 
5600 #undef __FUNCT__
5601 #define __FUNCT__ "TSSetMaxSNESFailures"
5602 /*@
5603    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5604 
5605    Not Collective
5606 
5607    Input Parameter:
5608 +  ts - TS context
5609 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5610 
5611    Notes:
5612    The counter is reset to zero for each successive call to TSSolve().
5613 
5614    Options Database Key:
5615  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5616 
5617    Level: intermediate
5618 
5619 .keywords: TS, set, maximum, number
5620 
5621 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5622 @*/
5623 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5624 {
5625   PetscFunctionBegin;
5626   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5627   ts->max_snes_failures = fails;
5628   PetscFunctionReturn(0);
5629 }
5630 
5631 #undef __FUNCT__
5632 #define __FUNCT__ "TSSetErrorIfStepFails"
5633 /*@
5634    TSSetErrorIfStepFails - Error if no step succeeds
5635 
5636    Not Collective
5637 
5638    Input Parameter:
5639 +  ts - TS context
5640 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5641 
5642    Options Database Key:
5643  .  -ts_error_if_step_fails - Error if no step succeeds
5644 
5645    Level: intermediate
5646 
5647 .keywords: TS, set, error
5648 
5649 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5650 @*/
5651 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5652 {
5653   PetscFunctionBegin;
5654   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5655   ts->errorifstepfailed = err;
5656   PetscFunctionReturn(0);
5657 }
5658 
5659 #undef __FUNCT__
5660 #define __FUNCT__ "TSMonitorSolution"
5661 /*@C
5662    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
5663 
5664    Collective on TS
5665 
5666    Input Parameters:
5667 +  ts - the TS context
5668 .  step - current time-step
5669 .  ptime - current time
5670 .  u - current state
5671 -  vf - viewer and its format
5672 
5673    Level: intermediate
5674 
5675 .keywords: TS,  vector, monitor, view
5676 
5677 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5678 @*/
5679 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5680 {
5681   PetscErrorCode ierr;
5682 
5683   PetscFunctionBegin;
5684   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5685   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5686   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5687   PetscFunctionReturn(0);
5688 }
5689 
5690 #undef __FUNCT__
5691 #define __FUNCT__ "TSMonitorSolutionVTK"
5692 /*@C
5693    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5694 
5695    Collective on TS
5696 
5697    Input Parameters:
5698 +  ts - the TS context
5699 .  step - current time-step
5700 .  ptime - current time
5701 .  u - current state
5702 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5703 
5704    Level: intermediate
5705 
5706    Notes:
5707    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.
5708    These are named according to the file name template.
5709 
5710    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5711 
5712 .keywords: TS,  vector, monitor, view
5713 
5714 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5715 @*/
5716 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5717 {
5718   PetscErrorCode ierr;
5719   char           filename[PETSC_MAX_PATH_LEN];
5720   PetscViewer    viewer;
5721 
5722   PetscFunctionBegin;
5723   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5724   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5725   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5726   ierr = VecView(u,viewer);CHKERRQ(ierr);
5727   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5728   PetscFunctionReturn(0);
5729 }
5730 
5731 #undef __FUNCT__
5732 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5733 /*@C
5734    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5735 
5736    Collective on TS
5737 
5738    Input Parameters:
5739 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5740 
5741    Level: intermediate
5742 
5743    Note:
5744    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5745 
5746 .keywords: TS,  vector, monitor, view
5747 
5748 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5749 @*/
5750 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5751 {
5752   PetscErrorCode ierr;
5753 
5754   PetscFunctionBegin;
5755   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5756   PetscFunctionReturn(0);
5757 }
5758 
5759 #undef __FUNCT__
5760 #define __FUNCT__ "TSGetAdapt"
5761 /*@
5762    TSGetAdapt - Get the adaptive controller context for the current method
5763 
5764    Collective on TS if controller has not been created yet
5765 
5766    Input Arguments:
5767 .  ts - time stepping context
5768 
5769    Output Arguments:
5770 .  adapt - adaptive controller
5771 
5772    Level: intermediate
5773 
5774 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5775 @*/
5776 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5777 {
5778   PetscErrorCode ierr;
5779 
5780   PetscFunctionBegin;
5781   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5782   PetscValidPointer(adapt,2);
5783   if (!ts->adapt) {
5784     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5785     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5786     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5787   }
5788   *adapt = ts->adapt;
5789   PetscFunctionReturn(0);
5790 }
5791 
5792 #undef __FUNCT__
5793 #define __FUNCT__ "TSSetTolerances"
5794 /*@
5795    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5796 
5797    Logically Collective
5798 
5799    Input Arguments:
5800 +  ts - time integration context
5801 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5802 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5803 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5804 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5805 
5806    Options Database keys:
5807 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5808 -  -ts_atol <atol> Absolute tolerance for local truncation error
5809 
5810    Notes:
5811    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5812    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5813    computed only for the differential or the algebraic part then this can be done using the vector of
5814    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5815    differential part and infinity for the algebraic part, the LTE calculation will include only the
5816    differential variables.
5817 
5818    Level: beginner
5819 
5820 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5821 @*/
5822 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5823 {
5824   PetscErrorCode ierr;
5825 
5826   PetscFunctionBegin;
5827   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5828   if (vatol) {
5829     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5830     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5831     ts->vatol = vatol;
5832   }
5833   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5834   if (vrtol) {
5835     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5836     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5837     ts->vrtol = vrtol;
5838   }
5839   PetscFunctionReturn(0);
5840 }
5841 
5842 #undef __FUNCT__
5843 #define __FUNCT__ "TSGetTolerances"
5844 /*@
5845    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5846 
5847    Logically Collective
5848 
5849    Input Arguments:
5850 .  ts - time integration context
5851 
5852    Output Arguments:
5853 +  atol - scalar absolute tolerances, NULL to ignore
5854 .  vatol - vector of absolute tolerances, NULL to ignore
5855 .  rtol - scalar relative tolerances, NULL to ignore
5856 -  vrtol - vector of relative tolerances, NULL to ignore
5857 
5858    Level: beginner
5859 
5860 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5861 @*/
5862 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5863 {
5864   PetscFunctionBegin;
5865   if (atol)  *atol  = ts->atol;
5866   if (vatol) *vatol = ts->vatol;
5867   if (rtol)  *rtol  = ts->rtol;
5868   if (vrtol) *vrtol = ts->vrtol;
5869   PetscFunctionReturn(0);
5870 }
5871 
5872 #undef __FUNCT__
5873 #define __FUNCT__ "TSErrorWeightedNorm2"
5874 /*@
5875    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5876 
5877    Collective on TS
5878 
5879    Input Arguments:
5880 +  ts - time stepping context
5881 .  U - state vector, usually ts->vec_sol
5882 -  Y - state vector to be compared to U
5883 
5884    Output Arguments:
5885 .  norm - weighted norm, a value of 1.0 is considered small
5886 
5887    Level: developer
5888 
5889 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5890 @*/
5891 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5892 {
5893   PetscErrorCode    ierr;
5894   PetscInt          i,n,N,rstart;
5895   const PetscScalar *u,*y;
5896   PetscReal         sum,gsum;
5897   PetscReal         tol;
5898 
5899   PetscFunctionBegin;
5900   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5901   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5902   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5903   PetscValidType(U,2);
5904   PetscValidType(Y,3);
5905   PetscCheckSameComm(U,2,Y,3);
5906   PetscValidPointer(norm,4);
5907   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5908 
5909   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5910   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5911   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5912   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5913   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5914   sum  = 0.;
5915   if (ts->vatol && ts->vrtol) {
5916     const PetscScalar *atol,*rtol;
5917     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5918     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5919     for (i=0; i<n; i++) {
5920       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5921       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5922     }
5923     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5924     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5925   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5926     const PetscScalar *atol;
5927     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5928     for (i=0; i<n; i++) {
5929       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5930       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5931     }
5932     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5933   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5934     const PetscScalar *rtol;
5935     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5936     for (i=0; i<n; i++) {
5937       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5938       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5939     }
5940     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5941   } else {                      /* scalar atol, scalar rtol */
5942     for (i=0; i<n; i++) {
5943       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5944       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5945     }
5946   }
5947   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5948   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5949 
5950   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5951   *norm = PetscSqrtReal(gsum / N);
5952 
5953   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5954   PetscFunctionReturn(0);
5955 }
5956 
5957 #undef __FUNCT__
5958 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5959 /*@
5960    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5961 
5962    Collective on TS
5963 
5964    Input Arguments:
5965 +  ts - time stepping context
5966 .  U - state vector, usually ts->vec_sol
5967 -  Y - state vector to be compared to U
5968 
5969    Output Arguments:
5970 .  norm - weighted norm, a value of 1.0 is considered small
5971 
5972    Level: developer
5973 
5974 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5975 @*/
5976 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5977 {
5978   PetscErrorCode    ierr;
5979   PetscInt          i,n,N,rstart,k;
5980   const PetscScalar *u,*y;
5981   PetscReal         max,gmax;
5982   PetscReal         tol;
5983 
5984   PetscFunctionBegin;
5985   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5986   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5987   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5988   PetscValidType(U,2);
5989   PetscValidType(Y,3);
5990   PetscCheckSameComm(U,2,Y,3);
5991   PetscValidPointer(norm,4);
5992   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5993 
5994   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5995   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5996   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5997   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5998   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5999   if (ts->vatol && ts->vrtol) {
6000     const PetscScalar *atol,*rtol;
6001     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6002     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6003     k = 0;
6004     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6005     max = PetscAbsScalar(y[k] - u[k]) / tol;
6006     for (i=1; i<n; i++) {
6007       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6008       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6009     }
6010     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6011     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6012   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6013     const PetscScalar *atol;
6014     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6015     k = 0;
6016     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6017     max = PetscAbsScalar(y[k] - u[k]) / tol;
6018     for (i=1; i<n; i++) {
6019       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6020       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6021     }
6022     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6023   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6024     const PetscScalar *rtol;
6025     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6026     k = 0;
6027     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6028     max = PetscAbsScalar(y[k] - u[k]) / tol;
6029     for (i=1; i<n; i++) {
6030       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6031       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6032     }
6033     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6034   } else {                      /* scalar atol, scalar rtol */
6035     k = 0;
6036     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6037     max = PetscAbsScalar(y[k] - u[k]) / tol;
6038     for (i=1; i<n; i++) {
6039       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6040       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6041     }
6042   }
6043   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6044   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6045 
6046   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6047   *norm = gmax;
6048 
6049   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6050   PetscFunctionReturn(0);
6051 }
6052 
6053 #undef __FUNCT__
6054 #define __FUNCT__ "TSErrorWeightedNorm"
6055 /*@
6056    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6057 
6058    Collective on TS
6059 
6060    Input Arguments:
6061 +  ts - time stepping context
6062 .  U - state vector, usually ts->vec_sol
6063 .  Y - state vector to be compared to U
6064 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6065 
6066    Output Arguments:
6067 .  norm - weighted norm, a value of 1.0 is considered small
6068 
6069 
6070    Options Database Keys:
6071 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6072 
6073    Level: developer
6074 
6075 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6076 @*/
6077 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
6078 {
6079   PetscErrorCode ierr;
6080 
6081   PetscFunctionBegin;
6082   if (wnormtype == NORM_2) {
6083     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6084   } else if(wnormtype == NORM_INFINITY) {
6085     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6086   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6087   PetscFunctionReturn(0);
6088 }
6089 
6090 #undef __FUNCT__
6091 #define __FUNCT__ "TSSetCFLTimeLocal"
6092 /*@
6093    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6094 
6095    Logically Collective on TS
6096 
6097    Input Arguments:
6098 +  ts - time stepping context
6099 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6100 
6101    Note:
6102    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6103 
6104    Level: intermediate
6105 
6106 .seealso: TSGetCFLTime(), TSADAPTCFL
6107 @*/
6108 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6109 {
6110   PetscFunctionBegin;
6111   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6112   ts->cfltime_local = cfltime;
6113   ts->cfltime       = -1.;
6114   PetscFunctionReturn(0);
6115 }
6116 
6117 #undef __FUNCT__
6118 #define __FUNCT__ "TSGetCFLTime"
6119 /*@
6120    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6121 
6122    Collective on TS
6123 
6124    Input Arguments:
6125 .  ts - time stepping context
6126 
6127    Output Arguments:
6128 .  cfltime - maximum stable time step for forward Euler
6129 
6130    Level: advanced
6131 
6132 .seealso: TSSetCFLTimeLocal()
6133 @*/
6134 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6135 {
6136   PetscErrorCode ierr;
6137 
6138   PetscFunctionBegin;
6139   if (ts->cfltime < 0) {
6140     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6141   }
6142   *cfltime = ts->cfltime;
6143   PetscFunctionReturn(0);
6144 }
6145 
6146 #undef __FUNCT__
6147 #define __FUNCT__ "TSVISetVariableBounds"
6148 /*@
6149    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6150 
6151    Input Parameters:
6152 .  ts   - the TS context.
6153 .  xl   - lower bound.
6154 .  xu   - upper bound.
6155 
6156    Notes:
6157    If this routine is not called then the lower and upper bounds are set to
6158    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6159 
6160    Level: advanced
6161 
6162 @*/
6163 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6164 {
6165   PetscErrorCode ierr;
6166   SNES           snes;
6167 
6168   PetscFunctionBegin;
6169   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6170   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6171   PetscFunctionReturn(0);
6172 }
6173 
6174 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6175 #include <mex.h>
6176 
6177 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6178 
6179 #undef __FUNCT__
6180 #define __FUNCT__ "TSComputeFunction_Matlab"
6181 /*
6182    TSComputeFunction_Matlab - Calls the function that has been set with
6183                          TSSetFunctionMatlab().
6184 
6185    Collective on TS
6186 
6187    Input Parameters:
6188 +  snes - the TS context
6189 -  u - input vector
6190 
6191    Output Parameter:
6192 .  y - function vector, as set by TSSetFunction()
6193 
6194    Notes:
6195    TSComputeFunction() is typically used within nonlinear solvers
6196    implementations, so most users would not generally call this routine
6197    themselves.
6198 
6199    Level: developer
6200 
6201 .keywords: TS, nonlinear, compute, function
6202 
6203 .seealso: TSSetFunction(), TSGetFunction()
6204 */
6205 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6206 {
6207   PetscErrorCode  ierr;
6208   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6209   int             nlhs  = 1,nrhs = 7;
6210   mxArray         *plhs[1],*prhs[7];
6211   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6212 
6213   PetscFunctionBegin;
6214   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6215   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6216   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6217   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6218   PetscCheckSameComm(snes,1,u,3);
6219   PetscCheckSameComm(snes,1,y,5);
6220 
6221   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6222   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6223   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6224   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6225 
6226   prhs[0] =  mxCreateDoubleScalar((double)ls);
6227   prhs[1] =  mxCreateDoubleScalar(time);
6228   prhs[2] =  mxCreateDoubleScalar((double)lx);
6229   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6230   prhs[4] =  mxCreateDoubleScalar((double)ly);
6231   prhs[5] =  mxCreateString(sctx->funcname);
6232   prhs[6] =  sctx->ctx;
6233   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6234   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6235   mxDestroyArray(prhs[0]);
6236   mxDestroyArray(prhs[1]);
6237   mxDestroyArray(prhs[2]);
6238   mxDestroyArray(prhs[3]);
6239   mxDestroyArray(prhs[4]);
6240   mxDestroyArray(prhs[5]);
6241   mxDestroyArray(plhs[0]);
6242   PetscFunctionReturn(0);
6243 }
6244 
6245 
6246 #undef __FUNCT__
6247 #define __FUNCT__ "TSSetFunctionMatlab"
6248 /*
6249    TSSetFunctionMatlab - Sets the function evaluation routine and function
6250    vector for use by the TS routines in solving ODEs
6251    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6252 
6253    Logically Collective on TS
6254 
6255    Input Parameters:
6256 +  ts - the TS context
6257 -  func - function evaluation routine
6258 
6259    Calling sequence of func:
6260 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6261 
6262    Level: beginner
6263 
6264 .keywords: TS, nonlinear, set, function
6265 
6266 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6267 */
6268 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6269 {
6270   PetscErrorCode  ierr;
6271   TSMatlabContext *sctx;
6272 
6273   PetscFunctionBegin;
6274   /* currently sctx is memory bleed */
6275   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6276   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6277   /*
6278      This should work, but it doesn't
6279   sctx->ctx = ctx;
6280   mexMakeArrayPersistent(sctx->ctx);
6281   */
6282   sctx->ctx = mxDuplicateArray(ctx);
6283 
6284   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6285   PetscFunctionReturn(0);
6286 }
6287 
6288 #undef __FUNCT__
6289 #define __FUNCT__ "TSComputeJacobian_Matlab"
6290 /*
6291    TSComputeJacobian_Matlab - Calls the function that has been set with
6292                          TSSetJacobianMatlab().
6293 
6294    Collective on TS
6295 
6296    Input Parameters:
6297 +  ts - the TS context
6298 .  u - input vector
6299 .  A, B - the matrices
6300 -  ctx - user context
6301 
6302    Level: developer
6303 
6304 .keywords: TS, nonlinear, compute, function
6305 
6306 .seealso: TSSetFunction(), TSGetFunction()
6307 @*/
6308 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6309 {
6310   PetscErrorCode  ierr;
6311   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6312   int             nlhs  = 2,nrhs = 9;
6313   mxArray         *plhs[2],*prhs[9];
6314   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6315 
6316   PetscFunctionBegin;
6317   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6318   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6319 
6320   /* call Matlab function in ctx with arguments u and y */
6321 
6322   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6323   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6324   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6325   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6326   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6327 
6328   prhs[0] =  mxCreateDoubleScalar((double)ls);
6329   prhs[1] =  mxCreateDoubleScalar((double)time);
6330   prhs[2] =  mxCreateDoubleScalar((double)lx);
6331   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6332   prhs[4] =  mxCreateDoubleScalar((double)shift);
6333   prhs[5] =  mxCreateDoubleScalar((double)lA);
6334   prhs[6] =  mxCreateDoubleScalar((double)lB);
6335   prhs[7] =  mxCreateString(sctx->funcname);
6336   prhs[8] =  sctx->ctx;
6337   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6338   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6339   mxDestroyArray(prhs[0]);
6340   mxDestroyArray(prhs[1]);
6341   mxDestroyArray(prhs[2]);
6342   mxDestroyArray(prhs[3]);
6343   mxDestroyArray(prhs[4]);
6344   mxDestroyArray(prhs[5]);
6345   mxDestroyArray(prhs[6]);
6346   mxDestroyArray(prhs[7]);
6347   mxDestroyArray(plhs[0]);
6348   mxDestroyArray(plhs[1]);
6349   PetscFunctionReturn(0);
6350 }
6351 
6352 
6353 #undef __FUNCT__
6354 #define __FUNCT__ "TSSetJacobianMatlab"
6355 /*
6356    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6357    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
6358 
6359    Logically Collective on TS
6360 
6361    Input Parameters:
6362 +  ts - the TS context
6363 .  A,B - Jacobian matrices
6364 .  func - function evaluation routine
6365 -  ctx - user context
6366 
6367    Calling sequence of func:
6368 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6369 
6370 
6371    Level: developer
6372 
6373 .keywords: TS, nonlinear, set, function
6374 
6375 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6376 */
6377 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6378 {
6379   PetscErrorCode  ierr;
6380   TSMatlabContext *sctx;
6381 
6382   PetscFunctionBegin;
6383   /* currently sctx is memory bleed */
6384   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6385   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6386   /*
6387      This should work, but it doesn't
6388   sctx->ctx = ctx;
6389   mexMakeArrayPersistent(sctx->ctx);
6390   */
6391   sctx->ctx = mxDuplicateArray(ctx);
6392 
6393   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6394   PetscFunctionReturn(0);
6395 }
6396 
6397 #undef __FUNCT__
6398 #define __FUNCT__ "TSMonitor_Matlab"
6399 /*
6400    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6401 
6402    Collective on TS
6403 
6404 .seealso: TSSetFunction(), TSGetFunction()
6405 @*/
6406 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6407 {
6408   PetscErrorCode  ierr;
6409   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6410   int             nlhs  = 1,nrhs = 6;
6411   mxArray         *plhs[1],*prhs[6];
6412   long long int   lx = 0,ls = 0;
6413 
6414   PetscFunctionBegin;
6415   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6416   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6417 
6418   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6419   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6420 
6421   prhs[0] =  mxCreateDoubleScalar((double)ls);
6422   prhs[1] =  mxCreateDoubleScalar((double)it);
6423   prhs[2] =  mxCreateDoubleScalar((double)time);
6424   prhs[3] =  mxCreateDoubleScalar((double)lx);
6425   prhs[4] =  mxCreateString(sctx->funcname);
6426   prhs[5] =  sctx->ctx;
6427   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6428   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6429   mxDestroyArray(prhs[0]);
6430   mxDestroyArray(prhs[1]);
6431   mxDestroyArray(prhs[2]);
6432   mxDestroyArray(prhs[3]);
6433   mxDestroyArray(prhs[4]);
6434   mxDestroyArray(plhs[0]);
6435   PetscFunctionReturn(0);
6436 }
6437 
6438 
6439 #undef __FUNCT__
6440 #define __FUNCT__ "TSMonitorSetMatlab"
6441 /*
6442    TSMonitorSetMatlab - Sets the monitor function from Matlab
6443 
6444    Level: developer
6445 
6446 .keywords: TS, nonlinear, set, function
6447 
6448 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6449 */
6450 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6451 {
6452   PetscErrorCode  ierr;
6453   TSMatlabContext *sctx;
6454 
6455   PetscFunctionBegin;
6456   /* currently sctx is memory bleed */
6457   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6458   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6459   /*
6460      This should work, but it doesn't
6461   sctx->ctx = ctx;
6462   mexMakeArrayPersistent(sctx->ctx);
6463   */
6464   sctx->ctx = mxDuplicateArray(ctx);
6465 
6466   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6467   PetscFunctionReturn(0);
6468 }
6469 #endif
6470 
6471 #undef __FUNCT__
6472 #define __FUNCT__ "TSMonitorLGSolution"
6473 /*@C
6474    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6475        in a time based line graph
6476 
6477    Collective on TS
6478 
6479    Input Parameters:
6480 +  ts - the TS context
6481 .  step - current time-step
6482 .  ptime - current time
6483 .  u - current solution
6484 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6485 
6486    Options Database:
6487 .   -ts_monitor_lg_solution_variables
6488 
6489    Level: intermediate
6490 
6491    Notes: Each process in a parallel run displays its component solutions in a separate window
6492 
6493 .keywords: TS,  vector, monitor, view
6494 
6495 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6496            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6497            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6498            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6499 @*/
6500 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6501 {
6502   PetscErrorCode    ierr;
6503   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6504   const PetscScalar *yy;
6505   Vec               v;
6506 
6507   PetscFunctionBegin;
6508   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6509   if (!step) {
6510     PetscDrawAxis axis;
6511     PetscInt      dim;
6512     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6513     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6514     if (!ctx->names) {
6515       PetscBool flg;
6516       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6517       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6518       if (flg) {
6519         PetscInt i,n;
6520         char     **names;
6521         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6522         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6523         for (i=0; i<n; i++) {
6524           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6525           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6526         }
6527         names[n] = NULL;
6528         ctx->names = names;
6529       }
6530     }
6531     if (ctx->names && !ctx->displaynames) {
6532       char      **displaynames;
6533       PetscBool flg;
6534       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6535       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6536       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6537       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6538       if (flg) {
6539         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6540       }
6541       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6542     }
6543     if (ctx->displaynames) {
6544       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6545       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6546     } else if (ctx->names) {
6547       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6548       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6549       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6550     } else {
6551       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6552       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6553     }
6554     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6555   }
6556 
6557   if (!ctx->transform) v = u;
6558   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6559   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6560   if (ctx->displaynames) {
6561     PetscInt i;
6562     for (i=0; i<ctx->ndisplayvariables; i++)
6563       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6564     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6565   } else {
6566 #if defined(PETSC_USE_COMPLEX)
6567     PetscInt  i,n;
6568     PetscReal *yreal;
6569     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6570     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6571     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6572     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6573     ierr = PetscFree(yreal);CHKERRQ(ierr);
6574 #else
6575     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6576 #endif
6577   }
6578   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6579   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6580 
6581   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6582     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6583     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6584   }
6585   PetscFunctionReturn(0);
6586 }
6587 
6588 
6589 #undef __FUNCT__
6590 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6591 /*@C
6592    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6593 
6594    Collective on TS
6595 
6596    Input Parameters:
6597 +  ts - the TS context
6598 -  names - the names of the components, final string must be NULL
6599 
6600    Level: intermediate
6601 
6602    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6603 
6604 .keywords: TS,  vector, monitor, view
6605 
6606 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6607 @*/
6608 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6609 {
6610   PetscErrorCode    ierr;
6611   PetscInt          i;
6612 
6613   PetscFunctionBegin;
6614   for (i=0; i<ts->numbermonitors; i++) {
6615     if (ts->monitor[i] == TSMonitorLGSolution) {
6616       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6617       break;
6618     }
6619   }
6620   PetscFunctionReturn(0);
6621 }
6622 
6623 #undef __FUNCT__
6624 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6625 /*@C
6626    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6627 
6628    Collective on TS
6629 
6630    Input Parameters:
6631 +  ts - the TS context
6632 -  names - the names of the components, final string must be NULL
6633 
6634    Level: intermediate
6635 
6636 .keywords: TS,  vector, monitor, view
6637 
6638 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6639 @*/
6640 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6641 {
6642   PetscErrorCode    ierr;
6643 
6644   PetscFunctionBegin;
6645   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6646   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6647   PetscFunctionReturn(0);
6648 }
6649 
6650 #undef __FUNCT__
6651 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6652 /*@C
6653    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6654 
6655    Collective on TS
6656 
6657    Input Parameter:
6658 .  ts - the TS context
6659 
6660    Output Parameter:
6661 .  names - the names of the components, final string must be NULL
6662 
6663    Level: intermediate
6664 
6665    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6666 
6667 .keywords: TS,  vector, monitor, view
6668 
6669 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6670 @*/
6671 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6672 {
6673   PetscInt       i;
6674 
6675   PetscFunctionBegin;
6676   *names = NULL;
6677   for (i=0; i<ts->numbermonitors; i++) {
6678     if (ts->monitor[i] == TSMonitorLGSolution) {
6679       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6680       *names = (const char *const *)ctx->names;
6681       break;
6682     }
6683   }
6684   PetscFunctionReturn(0);
6685 }
6686 
6687 #undef __FUNCT__
6688 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6689 /*@C
6690    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6691 
6692    Collective on TS
6693 
6694    Input Parameters:
6695 +  ctx - the TSMonitorLG context
6696 .  displaynames - the names of the components, final string must be NULL
6697 
6698    Level: intermediate
6699 
6700 .keywords: TS,  vector, monitor, view
6701 
6702 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6703 @*/
6704 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6705 {
6706   PetscInt          j = 0,k;
6707   PetscErrorCode    ierr;
6708 
6709   PetscFunctionBegin;
6710   if (!ctx->names) PetscFunctionReturn(0);
6711   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6712   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6713   while (displaynames[j]) j++;
6714   ctx->ndisplayvariables = j;
6715   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6716   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6717   j = 0;
6718   while (displaynames[j]) {
6719     k = 0;
6720     while (ctx->names[k]) {
6721       PetscBool flg;
6722       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6723       if (flg) {
6724         ctx->displayvariables[j] = k;
6725         break;
6726       }
6727       k++;
6728     }
6729     j++;
6730   }
6731   PetscFunctionReturn(0);
6732 }
6733 
6734 
6735 #undef __FUNCT__
6736 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6737 /*@C
6738    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6739 
6740    Collective on TS
6741 
6742    Input Parameters:
6743 +  ts - the TS context
6744 .  displaynames - the names of the components, final string must be NULL
6745 
6746    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6747 
6748    Level: intermediate
6749 
6750 .keywords: TS,  vector, monitor, view
6751 
6752 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6753 @*/
6754 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6755 {
6756   PetscInt          i;
6757   PetscErrorCode    ierr;
6758 
6759   PetscFunctionBegin;
6760   for (i=0; i<ts->numbermonitors; i++) {
6761     if (ts->monitor[i] == TSMonitorLGSolution) {
6762       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6763       break;
6764     }
6765   }
6766   PetscFunctionReturn(0);
6767 }
6768 
6769 #undef __FUNCT__
6770 #define __FUNCT__ "TSMonitorLGSetTransform"
6771 /*@C
6772    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6773 
6774    Collective on TS
6775 
6776    Input Parameters:
6777 +  ts - the TS context
6778 .  transform - the transform function
6779 .  destroy - function to destroy the optional context
6780 -  ctx - optional context used by transform function
6781 
6782    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6783 
6784    Level: intermediate
6785 
6786 .keywords: TS,  vector, monitor, view
6787 
6788 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6789 @*/
6790 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6791 {
6792   PetscInt          i;
6793   PetscErrorCode    ierr;
6794 
6795   PetscFunctionBegin;
6796   for (i=0; i<ts->numbermonitors; i++) {
6797     if (ts->monitor[i] == TSMonitorLGSolution) {
6798       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6799     }
6800   }
6801   PetscFunctionReturn(0);
6802 }
6803 
6804 #undef __FUNCT__
6805 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6806 /*@C
6807    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6808 
6809    Collective on TSLGCtx
6810 
6811    Input Parameters:
6812 +  ts - the TS context
6813 .  transform - the transform function
6814 .  destroy - function to destroy the optional context
6815 -  ctx - optional context used by transform function
6816 
6817    Level: intermediate
6818 
6819 .keywords: TS,  vector, monitor, view
6820 
6821 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6822 @*/
6823 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6824 {
6825   PetscFunctionBegin;
6826   ctx->transform    = transform;
6827   ctx->transformdestroy = destroy;
6828   ctx->transformctx = tctx;
6829   PetscFunctionReturn(0);
6830 }
6831 
6832 #undef __FUNCT__
6833 #define __FUNCT__ "TSMonitorLGError"
6834 /*@C
6835    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6836        in a time based line graph
6837 
6838    Collective on TS
6839 
6840    Input Parameters:
6841 +  ts - the TS context
6842 .  step - current time-step
6843 .  ptime - current time
6844 .  u - current solution
6845 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6846 
6847    Level: intermediate
6848 
6849    Notes: Each process in a parallel run displays its component errors in a separate window
6850 
6851    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6852 
6853    Options Database Keys:
6854 .  -ts_monitor_lg_error - create a graphical monitor of error history
6855 
6856 .keywords: TS,  vector, monitor, view
6857 
6858 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6859 @*/
6860 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6861 {
6862   PetscErrorCode    ierr;
6863   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6864   const PetscScalar *yy;
6865   Vec               y;
6866 
6867   PetscFunctionBegin;
6868   if (!step) {
6869     PetscDrawAxis axis;
6870     PetscInt      dim;
6871     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6872     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6873     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6874     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6875     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6876   }
6877   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6878   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6879   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6880   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6881 #if defined(PETSC_USE_COMPLEX)
6882   {
6883     PetscReal *yreal;
6884     PetscInt  i,n;
6885     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6886     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6887     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6888     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6889     ierr = PetscFree(yreal);CHKERRQ(ierr);
6890   }
6891 #else
6892   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6893 #endif
6894   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6895   ierr = VecDestroy(&y);CHKERRQ(ierr);
6896   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6897     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6898     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6899   }
6900   PetscFunctionReturn(0);
6901 }
6902 
6903 #undef __FUNCT__
6904 #define __FUNCT__ "TSMonitorLGSNESIterations"
6905 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6906 {
6907   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6908   PetscReal      x   = ptime,y;
6909   PetscErrorCode ierr;
6910   PetscInt       its;
6911 
6912   PetscFunctionBegin;
6913   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6914   if (!n) {
6915     PetscDrawAxis axis;
6916     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6917     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6918     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6919     ctx->snes_its = 0;
6920   }
6921   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6922   y    = its - ctx->snes_its;
6923   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6924   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6925     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6926     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6927   }
6928   ctx->snes_its = its;
6929   PetscFunctionReturn(0);
6930 }
6931 
6932 #undef __FUNCT__
6933 #define __FUNCT__ "TSMonitorLGKSPIterations"
6934 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6935 {
6936   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6937   PetscReal      x   = ptime,y;
6938   PetscErrorCode ierr;
6939   PetscInt       its;
6940 
6941   PetscFunctionBegin;
6942   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6943   if (!n) {
6944     PetscDrawAxis axis;
6945     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6946     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6947     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6948     ctx->ksp_its = 0;
6949   }
6950   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6951   y    = its - ctx->ksp_its;
6952   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6953   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6954     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6955     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6956   }
6957   ctx->ksp_its = its;
6958   PetscFunctionReturn(0);
6959 }
6960 
6961 #undef __FUNCT__
6962 #define __FUNCT__ "TSComputeLinearStability"
6963 /*@
6964    TSComputeLinearStability - computes the linear stability function at a point
6965 
6966    Collective on TS and Vec
6967 
6968    Input Parameters:
6969 +  ts - the TS context
6970 -  xr,xi - real and imaginary part of input arguments
6971 
6972    Output Parameters:
6973 .  yr,yi - real and imaginary part of function value
6974 
6975    Level: developer
6976 
6977 .keywords: TS, compute
6978 
6979 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6980 @*/
6981 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6982 {
6983   PetscErrorCode ierr;
6984 
6985   PetscFunctionBegin;
6986   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6987   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6988   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6989   PetscFunctionReturn(0);
6990 }
6991 
6992 /* ------------------------------------------------------------------------*/
6993 #undef __FUNCT__
6994 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6995 /*@C
6996    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6997 
6998    Collective on TS
6999 
7000    Input Parameters:
7001 .  ts  - the ODE solver object
7002 
7003    Output Parameter:
7004 .  ctx - the context
7005 
7006    Level: intermediate
7007 
7008 .keywords: TS, monitor, line graph, residual, seealso
7009 
7010 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7011 
7012 @*/
7013 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7014 {
7015   PetscErrorCode ierr;
7016 
7017   PetscFunctionBegin;
7018   ierr = PetscNew(ctx);CHKERRQ(ierr);
7019   PetscFunctionReturn(0);
7020 }
7021 
7022 #undef __FUNCT__
7023 #define __FUNCT__ "TSMonitorEnvelope"
7024 /*@C
7025    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7026 
7027    Collective on TS
7028 
7029    Input Parameters:
7030 +  ts - the TS context
7031 .  step - current time-step
7032 .  ptime - current time
7033 .  u  - current solution
7034 -  dctx - the envelope context
7035 
7036    Options Database:
7037 .  -ts_monitor_envelope
7038 
7039    Level: intermediate
7040 
7041    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7042 
7043 .keywords: TS,  vector, monitor, view
7044 
7045 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7046 @*/
7047 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7048 {
7049   PetscErrorCode       ierr;
7050   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7051 
7052   PetscFunctionBegin;
7053   if (!ctx->max) {
7054     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7055     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7056     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7057     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7058   } else {
7059     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7060     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7061   }
7062   PetscFunctionReturn(0);
7063 }
7064 
7065 
7066 #undef __FUNCT__
7067 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7068 /*@C
7069    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7070 
7071    Collective on TS
7072 
7073    Input Parameter:
7074 .  ts - the TS context
7075 
7076    Output Parameter:
7077 +  max - the maximum values
7078 -  min - the minimum values
7079 
7080    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7081 
7082    Level: intermediate
7083 
7084 .keywords: TS,  vector, monitor, view
7085 
7086 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7087 @*/
7088 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7089 {
7090   PetscInt i;
7091 
7092   PetscFunctionBegin;
7093   if (max) *max = NULL;
7094   if (min) *min = NULL;
7095   for (i=0; i<ts->numbermonitors; i++) {
7096     if (ts->monitor[i] == TSMonitorEnvelope) {
7097       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7098       if (max) *max = ctx->max;
7099       if (min) *min = ctx->min;
7100       break;
7101     }
7102   }
7103   PetscFunctionReturn(0);
7104 }
7105 
7106 #undef __FUNCT__
7107 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7108 /*@C
7109    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7110 
7111    Collective on TSMonitorEnvelopeCtx
7112 
7113    Input Parameter:
7114 .  ctx - the monitor context
7115 
7116    Level: intermediate
7117 
7118 .keywords: TS, monitor, line graph, destroy
7119 
7120 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7121 @*/
7122 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7123 {
7124   PetscErrorCode ierr;
7125 
7126   PetscFunctionBegin;
7127   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7128   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7129   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7130   PetscFunctionReturn(0);
7131 }
7132 
7133 #undef __FUNCT__
7134 #define __FUNCT__ "TSRollBack"
7135 /*@
7136    TSRollBack - Rolls back one time step
7137 
7138    Collective on TS
7139 
7140    Input Parameter:
7141 .  ts - the TS context obtained from TSCreate()
7142 
7143    Level: advanced
7144 
7145 .keywords: TS, timestep, rollback
7146 
7147 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7148 @*/
7149 PetscErrorCode  TSRollBack(TS ts)
7150 {
7151   PetscErrorCode ierr;
7152 
7153   PetscFunctionBegin;
7154   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7155   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7156   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7157   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7158   ts->time_step = ts->ptime - ts->ptime_prev;
7159   ts->ptime = ts->ptime_prev;
7160   ts->ptime_prev = ts->ptime_prev_rollback;
7161   ts->steps--; ts->total_steps--;
7162   ierr = TSPostEvaluate(ts);CHKERRQ(ierr);
7163   ts->steprollback = PETSC_TRUE;
7164   PetscFunctionReturn(0);
7165 }
7166 
7167 #undef __FUNCT__
7168 #define __FUNCT__ "TSGetStages"
7169 /*@
7170    TSGetStages - Get the number of stages and stage values
7171 
7172    Input Parameter:
7173 .  ts - the TS context obtained from TSCreate()
7174 
7175    Level: advanced
7176 
7177 .keywords: TS, getstages
7178 
7179 .seealso: TSCreate()
7180 @*/
7181 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7182 {
7183   PetscErrorCode ierr;
7184 
7185   PetscFunctionBegin;
7186   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7187   PetscValidPointer(ns,2);
7188 
7189   if (!ts->ops->getstages) *ns=0;
7190   else {
7191     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7192   }
7193   PetscFunctionReturn(0);
7194 }
7195 
7196 #undef __FUNCT__
7197 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7198 /*@C
7199   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7200 
7201   Collective on SNES
7202 
7203   Input Parameters:
7204 + ts - the TS context
7205 . t - current timestep
7206 . U - state vector
7207 . Udot - time derivative of state vector
7208 . shift - shift to apply, see note below
7209 - ctx - an optional user context
7210 
7211   Output Parameters:
7212 + J - Jacobian matrix (not altered in this routine)
7213 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7214 
7215   Level: intermediate
7216 
7217   Notes:
7218   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7219 
7220   dF/dU + shift*dF/dUdot
7221 
7222   Most users should not need to explicitly call this routine, as it
7223   is used internally within the nonlinear solvers.
7224 
7225   This will first try to get the coloring from the DM.  If the DM type has no coloring
7226   routine, then it will try to get the coloring from the matrix.  This requires that the
7227   matrix have nonzero entries precomputed.
7228 
7229 .keywords: TS, finite differences, Jacobian, coloring, sparse
7230 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7231 @*/
7232 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7233 {
7234   SNES           snes;
7235   MatFDColoring  color;
7236   PetscBool      hascolor, matcolor = PETSC_FALSE;
7237   PetscErrorCode ierr;
7238 
7239   PetscFunctionBegin;
7240   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7241   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7242   if (!color) {
7243     DM         dm;
7244     ISColoring iscoloring;
7245 
7246     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7247     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7248     if (hascolor && !matcolor) {
7249       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7250       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7251       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7252       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7253       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7254       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7255     } else {
7256       MatColoring mc;
7257 
7258       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7259       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7260       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7261       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7262       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7263       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7264       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7265       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7266       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7267       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7268       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7269     }
7270     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7271     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7272   }
7273   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7274   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7275   if (J != B) {
7276     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7277     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7278   }
7279   PetscFunctionReturn(0);
7280 }
7281 
7282 #undef __FUNCT__
7283 #define __FUNCT__ "TSSetFunctionDomainError"
7284 /*@
7285     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7286 
7287     Input Parameters:
7288     ts - the TS context
7289     func - function called within TSFunctionDomainError
7290 
7291     Level: intermediate
7292 
7293 .keywords: TS, state, domain
7294 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7295 @*/
7296 
7297 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7298 {
7299   PetscFunctionBegin;
7300   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7301   ts->functiondomainerror = func;
7302   PetscFunctionReturn(0);
7303 }
7304 
7305 #undef __FUNCT__
7306 #define __FUNCT__ "TSFunctionDomainError"
7307 /*@
7308     TSFunctionDomainError - Check if the current state is valid
7309 
7310     Input Parameters:
7311     ts - the TS context
7312     stagetime - time of the simulation
7313     Y - state vector to check.
7314 
7315     Output Parameter:
7316     accept - Set to PETSC_FALSE if the current state vector is valid.
7317 
7318     Note:
7319     This function should be used to ensure the state is in a valid part of the space.
7320     For example, one can ensure here all values are positive.
7321 
7322     Level: advanced
7323 @*/
7324 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7325 {
7326   PetscErrorCode ierr;
7327 
7328   PetscFunctionBegin;
7329 
7330   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7331   *accept = PETSC_TRUE;
7332   if (ts->functiondomainerror) {
7333     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7334   }
7335   PetscFunctionReturn(0);
7336 }
7337 
7338 #undef  __FUNCT__
7339 #define __FUNCT__ "TSClone"
7340 /*@C
7341   TSClone - This function clones a time step object.
7342 
7343   Collective on MPI_Comm
7344 
7345   Input Parameter:
7346 . tsin    - The input TS
7347 
7348   Output Parameter:
7349 . tsout   - The output TS (cloned)
7350 
7351   Notes:
7352   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.
7353 
7354   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);
7355 
7356   Level: developer
7357 
7358 .keywords: TS, clone
7359 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7360 @*/
7361 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7362 {
7363   TS             t;
7364   PetscErrorCode ierr;
7365   SNES           snes_start;
7366   DM             dm;
7367   TSType         type;
7368 
7369   PetscFunctionBegin;
7370   PetscValidPointer(tsin,1);
7371   *tsout = NULL;
7372 
7373   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7374 
7375   /* General TS description */
7376   t->numbermonitors    = 0;
7377   t->setupcalled       = 0;
7378   t->ksp_its           = 0;
7379   t->snes_its          = 0;
7380   t->nwork             = 0;
7381   t->rhsjacobian.time  = -1e20;
7382   t->rhsjacobian.scale = 1.;
7383   t->ijacobian.shift   = 1.;
7384 
7385   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7386   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7387 
7388   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7389   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7390 
7391   t->adapt = tsin->adapt;
7392   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7393 
7394   t->problem_type      = tsin->problem_type;
7395   t->ptime             = tsin->ptime;
7396   t->time_step         = tsin->time_step;
7397   t->max_time          = tsin->max_time;
7398   t->steps             = tsin->steps;
7399   t->max_steps         = tsin->max_steps;
7400   t->equation_type     = tsin->equation_type;
7401   t->atol              = tsin->atol;
7402   t->rtol              = tsin->rtol;
7403   t->max_snes_failures = tsin->max_snes_failures;
7404   t->max_reject        = tsin->max_reject;
7405   t->errorifstepfailed = tsin->errorifstepfailed;
7406 
7407   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7408   ierr = TSSetType(t,type);CHKERRQ(ierr);
7409 
7410   t->vec_sol           = NULL;
7411 
7412   t->cfltime          = tsin->cfltime;
7413   t->cfltime_local    = tsin->cfltime_local;
7414   t->exact_final_time = tsin->exact_final_time;
7415 
7416   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7417 
7418   if (((PetscObject)tsin)->fortran_func_pointers) {
7419     PetscInt i;
7420     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7421     for (i=0; i<10; i++) {
7422       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7423     }
7424   }
7425   *tsout = t;
7426   PetscFunctionReturn(0);
7427 }
7428