xref: /petsc/src/ts/interface/ts.c (revision 1785ff2a9f884cde6728c5f0ed7160c3e86ba976)
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 solution is evaluated allowing to modify it, if need be. The solution can be obtained with TSGetSolution(), the time step with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3294 
3295 .keywords: TS, timestep
3296 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3297 @*/
3298 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3299 {
3300   PetscFunctionBegin;
3301   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3302   ts->postevaluate = func;
3303   PetscFunctionReturn(0);
3304 }
3305 
3306 #undef __FUNCT__
3307 #define __FUNCT__ "TSPreStage"
3308 /*@
3309   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3310 
3311   Collective on TS
3312 
3313   Input Parameters:
3314 . ts          - The TS context obtained from TSCreate()
3315   stagetime   - The absolute time of the current stage
3316 
3317   Notes:
3318   TSPreStage() is typically used within time stepping implementations,
3319   most users would not generally call this routine themselves.
3320 
3321   Level: developer
3322 
3323 .keywords: TS, timestep
3324 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3325 @*/
3326 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3327 {
3328   PetscErrorCode ierr;
3329 
3330   PetscFunctionBegin;
3331   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3332   if (ts->prestage) {
3333     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3334   }
3335   PetscFunctionReturn(0);
3336 }
3337 
3338 #undef __FUNCT__
3339 #define __FUNCT__ "TSPostStage"
3340 /*@
3341   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3342 
3343   Collective on TS
3344 
3345   Input Parameters:
3346 . ts          - The TS context obtained from TSCreate()
3347   stagetime   - The absolute time of the current stage
3348   stageindex  - Stage number
3349   Y           - Array of vectors (of size = total number
3350                 of stages) with the stage solutions
3351 
3352   Notes:
3353   TSPostStage() is typically used within time stepping implementations,
3354   most users would not generally call this routine themselves.
3355 
3356   Level: developer
3357 
3358 .keywords: TS, timestep
3359 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3360 @*/
3361 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3362 {
3363   PetscErrorCode ierr;
3364 
3365   PetscFunctionBegin;
3366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3367   if (ts->poststage) {
3368     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3369   }
3370   PetscFunctionReturn(0);
3371 }
3372 
3373 #undef __FUNCT__
3374 #define __FUNCT__ "TSPostEvaluate"
3375 /*@
3376   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3377 
3378   Collective on TS
3379 
3380   Input Parameters:
3381 . ts          - The TS context obtained from TSCreate()
3382 
3383   Notes:
3384   TSPostEvaluate() is typically used within time stepping implementations,
3385   most users would not generally call this routine themselves.
3386 
3387   Level: developer
3388 
3389 .keywords: TS, timestep
3390 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3391 @*/
3392 PetscErrorCode  TSPostEvaluate(TS ts)
3393 {
3394   PetscErrorCode ierr;
3395 
3396   PetscFunctionBegin;
3397   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3398   if (ts->postevaluate) {
3399     PetscStackCallStandard((*ts->postevaluate),(ts));
3400   }
3401   PetscFunctionReturn(0);
3402 }
3403 
3404 #undef __FUNCT__
3405 #define __FUNCT__ "TSSetPostStep"
3406 /*@C
3407   TSSetPostStep - Sets the general-purpose function
3408   called once at the end of each time step.
3409 
3410   Logically Collective on TS
3411 
3412   Input Parameters:
3413 + ts   - The TS context obtained from TSCreate()
3414 - func - The function
3415 
3416   Calling sequence of func:
3417 $ func (TS ts);
3418 
3419   Notes:
3420   The function set by TSSetPostStep() is called after each successful step. The solution vector X
3421   obtained by TSGetSolution() may be different than that computed at the step end if the event handler
3422   locates an event and TSPostEvent() modifies it. Use TSSetPostEvaluate() if an unmodified solution is needed instead.
3423 
3424   Level: intermediate
3425 
3426 .keywords: TS, timestep
3427 .seealso: TSSetPreStep(), TSSetPreStage(), TSSetPostEvaluate(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3428 @*/
3429 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3430 {
3431   PetscFunctionBegin;
3432   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3433   ts->poststep = func;
3434   PetscFunctionReturn(0);
3435 }
3436 
3437 #undef __FUNCT__
3438 #define __FUNCT__ "TSPostStep"
3439 /*@
3440   TSPostStep - Runs the user-defined post-step function.
3441 
3442   Collective on TS
3443 
3444   Input Parameters:
3445 . ts   - The TS context obtained from TSCreate()
3446 
3447   Notes:
3448   TSPostStep() is typically used within time stepping implementations,
3449   so most users would not generally call this routine themselves.
3450 
3451   Level: developer
3452 
3453 .keywords: TS, timestep
3454 @*/
3455 PetscErrorCode  TSPostStep(TS ts)
3456 {
3457   PetscErrorCode ierr;
3458 
3459   PetscFunctionBegin;
3460   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3461   if (ts->poststep) {
3462     PetscStackCallStandard((*ts->poststep),(ts));
3463   }
3464   PetscFunctionReturn(0);
3465 }
3466 
3467 /* ------------ Routines to set performance monitoring options ----------- */
3468 
3469 #undef __FUNCT__
3470 #define __FUNCT__ "TSMonitorSet"
3471 /*@C
3472    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3473    timestep to display the iteration's  progress.
3474 
3475    Logically Collective on TS
3476 
3477    Input Parameters:
3478 +  ts - the TS context obtained from TSCreate()
3479 .  monitor - monitoring routine
3480 .  mctx - [optional] user-defined context for private data for the
3481              monitor routine (use NULL if no context is desired)
3482 -  monitordestroy - [optional] routine that frees monitor context
3483           (may be NULL)
3484 
3485    Calling sequence of monitor:
3486 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3487 
3488 +    ts - the TS context
3489 .    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)
3490 .    time - current time
3491 .    u - current iterate
3492 -    mctx - [optional] monitoring context
3493 
3494    Notes:
3495    This routine adds an additional monitor to the list of monitors that
3496    already has been loaded.
3497 
3498    Fortran notes: Only a single monitor function can be set for each TS object
3499 
3500    Level: intermediate
3501 
3502 .keywords: TS, timestep, set, monitor
3503 
3504 .seealso: TSMonitorDefault(), TSMonitorCancel()
3505 @*/
3506 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3507 {
3508   PetscErrorCode ierr;
3509   PetscInt       i;
3510   PetscBool      identical;
3511 
3512   PetscFunctionBegin;
3513   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3514   for (i=0; i<ts->numbermonitors;i++) {
3515     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3516     if (identical) PetscFunctionReturn(0);
3517   }
3518   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3519   ts->monitor[ts->numbermonitors]          = monitor;
3520   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3521   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3522   PetscFunctionReturn(0);
3523 }
3524 
3525 #undef __FUNCT__
3526 #define __FUNCT__ "TSMonitorCancel"
3527 /*@C
3528    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3529 
3530    Logically Collective on TS
3531 
3532    Input Parameters:
3533 .  ts - the TS context obtained from TSCreate()
3534 
3535    Notes:
3536    There is no way to remove a single, specific monitor.
3537 
3538    Level: intermediate
3539 
3540 .keywords: TS, timestep, set, monitor
3541 
3542 .seealso: TSMonitorDefault(), TSMonitorSet()
3543 @*/
3544 PetscErrorCode  TSMonitorCancel(TS ts)
3545 {
3546   PetscErrorCode ierr;
3547   PetscInt       i;
3548 
3549   PetscFunctionBegin;
3550   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3551   for (i=0; i<ts->numbermonitors; i++) {
3552     if (ts->monitordestroy[i]) {
3553       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3554     }
3555   }
3556   ts->numbermonitors = 0;
3557   PetscFunctionReturn(0);
3558 }
3559 
3560 #undef __FUNCT__
3561 #define __FUNCT__ "TSMonitorDefault"
3562 /*@C
3563    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3564 
3565    Level: intermediate
3566 
3567 .keywords: TS, set, monitor
3568 
3569 .seealso:  TSMonitorSet()
3570 @*/
3571 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3572 {
3573   PetscErrorCode ierr;
3574   PetscViewer    viewer =  vf->viewer;
3575   PetscBool      iascii,ibinary;
3576 
3577   PetscFunctionBegin;
3578   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3579   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3580   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3581   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3582   if (iascii) {
3583     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3584     if (step == -1){ /* this indicates it is an interpolated solution */
3585       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3586     } else {
3587       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3588     }
3589     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3590   } else if (ibinary) {
3591     PetscMPIInt rank;
3592     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3593     if (!rank) {
3594       PetscBool skipHeader;
3595       PetscInt  classid = REAL_FILE_CLASSID;
3596 
3597       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3598       if (!skipHeader) {
3599          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3600        }
3601       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3602     } else {
3603       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3604     }
3605   }
3606   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3607   PetscFunctionReturn(0);
3608 }
3609 
3610 #undef __FUNCT__
3611 #define __FUNCT__ "TSAdjointMonitorSet"
3612 /*@C
3613    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3614    timestep to display the iteration's  progress.
3615 
3616    Logically Collective on TS
3617 
3618    Input Parameters:
3619 +  ts - the TS context obtained from TSCreate()
3620 .  adjointmonitor - monitoring routine
3621 .  adjointmctx - [optional] user-defined context for private data for the
3622              monitor routine (use NULL if no context is desired)
3623 -  adjointmonitordestroy - [optional] routine that frees monitor context
3624           (may be NULL)
3625 
3626    Calling sequence of monitor:
3627 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3628 
3629 +    ts - the TS context
3630 .    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
3631                                been interpolated to)
3632 .    time - current time
3633 .    u - current iterate
3634 .    numcost - number of cost functionos
3635 .    lambda - sensitivities to initial conditions
3636 .    mu - sensitivities to parameters
3637 -    adjointmctx - [optional] adjoint monitoring context
3638 
3639    Notes:
3640    This routine adds an additional monitor to the list of monitors that
3641    already has been loaded.
3642 
3643    Fortran notes: Only a single monitor function can be set for each TS object
3644 
3645    Level: intermediate
3646 
3647 .keywords: TS, timestep, set, adjoint, monitor
3648 
3649 .seealso: TSAdjointMonitorCancel()
3650 @*/
3651 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3652 {
3653   PetscErrorCode ierr;
3654   PetscInt       i;
3655   PetscBool      identical;
3656 
3657   PetscFunctionBegin;
3658   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3659   for (i=0; i<ts->numbermonitors;i++) {
3660     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3661     if (identical) PetscFunctionReturn(0);
3662   }
3663   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3664   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3665   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3666   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3667   PetscFunctionReturn(0);
3668 }
3669 
3670 #undef __FUNCT__
3671 #define __FUNCT__ "TSAdjointMonitorCancel"
3672 /*@C
3673    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3674 
3675    Logically Collective on TS
3676 
3677    Input Parameters:
3678 .  ts - the TS context obtained from TSCreate()
3679 
3680    Notes:
3681    There is no way to remove a single, specific monitor.
3682 
3683    Level: intermediate
3684 
3685 .keywords: TS, timestep, set, adjoint, monitor
3686 
3687 .seealso: TSAdjointMonitorSet()
3688 @*/
3689 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3690 {
3691   PetscErrorCode ierr;
3692   PetscInt       i;
3693 
3694   PetscFunctionBegin;
3695   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3696   for (i=0; i<ts->numberadjointmonitors; i++) {
3697     if (ts->adjointmonitordestroy[i]) {
3698       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3699     }
3700   }
3701   ts->numberadjointmonitors = 0;
3702   PetscFunctionReturn(0);
3703 }
3704 
3705 #undef __FUNCT__
3706 #define __FUNCT__ "TSAdjointMonitorDefault"
3707 /*@C
3708    TSAdjointMonitorDefault - the default monitor of adjoint computations
3709 
3710    Level: intermediate
3711 
3712 .keywords: TS, set, monitor
3713 
3714 .seealso: TSAdjointMonitorSet()
3715 @*/
3716 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3717 {
3718   PetscErrorCode ierr;
3719   PetscViewer    viewer = vf->viewer;
3720 
3721   PetscFunctionBegin;
3722   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3723   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3724   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3725   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3726   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3727   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3728   PetscFunctionReturn(0);
3729 }
3730 
3731 #undef __FUNCT__
3732 #define __FUNCT__ "TSInterpolate"
3733 /*@
3734    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3735 
3736    Collective on TS
3737 
3738    Input Argument:
3739 +  ts - time stepping context
3740 -  t - time to interpolate to
3741 
3742    Output Argument:
3743 .  U - state at given time
3744 
3745    Level: intermediate
3746 
3747    Developer Notes:
3748    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3749 
3750 .keywords: TS, set
3751 
3752 .seealso: TSSetExactFinalTime(), TSSolve()
3753 @*/
3754 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3755 {
3756   PetscErrorCode ierr;
3757 
3758   PetscFunctionBegin;
3759   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3760   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3761   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);
3762   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3763   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3764   PetscFunctionReturn(0);
3765 }
3766 
3767 #undef __FUNCT__
3768 #define __FUNCT__ "TSStep"
3769 /*@
3770    TSStep - Steps one time step
3771 
3772    Collective on TS
3773 
3774    Input Parameter:
3775 .  ts - the TS context obtained from TSCreate()
3776 
3777    Level: developer
3778 
3779    Notes:
3780    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3781 
3782    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3783    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3784 
3785    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3786    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3787 
3788 .keywords: TS, timestep, solve
3789 
3790 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3791 @*/
3792 PetscErrorCode  TSStep(TS ts)
3793 {
3794   PetscErrorCode   ierr;
3795   static PetscBool cite = PETSC_FALSE;
3796   PetscReal        ptime;
3797 
3798   PetscFunctionBegin;
3799   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3800   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3801                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3802                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3803                                 "  type        = {Preprint},\n"
3804                                 "  number      = {ANL/MCS-P5061-0114},\n"
3805                                 "  institution = {Argonne National Laboratory},\n"
3806                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3807 
3808   ierr = TSSetUp(ts);CHKERRQ(ierr);
3809   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3810 
3811   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()");
3812   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");
3813 
3814   if (!ts->steps) ts->ptime_prev = ts->ptime;
3815   ts->reason = TS_CONVERGED_ITERATING;
3816   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3817   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3818   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3819   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3820   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3821   ts->ptime_prev = ptime;
3822   ts->steps++; ts->total_steps++;
3823   ts->steprollback = PETSC_FALSE;
3824   ts->steprestart  = PETSC_FALSE;
3825 
3826   if (ts->reason < 0) {
3827     if (ts->errorifstepfailed) {
3828       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]);
3829       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3830     }
3831   } else if (!ts->reason) {
3832     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3833     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3834   }
3835   PetscFunctionReturn(0);
3836 }
3837 
3838 #undef __FUNCT__
3839 #define __FUNCT__ "TSAdjointStep"
3840 /*@
3841    TSAdjointStep - Steps one time step backward in the adjoint run
3842 
3843    Collective on TS
3844 
3845    Input Parameter:
3846 .  ts - the TS context obtained from TSCreate()
3847 
3848    Level: intermediate
3849 
3850 .keywords: TS, adjoint, step
3851 
3852 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3853 @*/
3854 PetscErrorCode  TSAdjointStep(TS ts)
3855 {
3856   DM               dm;
3857   PetscErrorCode   ierr;
3858 
3859   PetscFunctionBegin;
3860   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3861   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3862   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3863 
3864   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3865 
3866   ts->reason = TS_CONVERGED_ITERATING;
3867   ts->ptime_prev = ts->ptime;
3868   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);
3869   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3870   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3871   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3872   ts->steps++; ts->total_steps--;
3873 
3874   if (ts->reason < 0) {
3875     if (ts->errorifstepfailed) {
3876       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]);
3877       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]);
3878       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3879     }
3880   } else if (!ts->reason) {
3881     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3882   }
3883   PetscFunctionReturn(0);
3884 }
3885 
3886 #undef __FUNCT__
3887 #define __FUNCT__ "TSEvaluateWLTE"
3888 /*@
3889    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3890    at the end of a time step with a given order of accuracy.
3891 
3892    Collective on TS
3893 
3894    Input Arguments:
3895 +  ts - time stepping context
3896 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3897 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3898 
3899    Output Arguments:
3900 +  order - optional, the actual order of the error evaluation
3901 -  wlte - the weighted local truncation error norm
3902 
3903    Level: advanced
3904 
3905    Notes:
3906    If the timestepper cannot evaluate the error in a particular step
3907    (eg. in the first step or restart steps after event handling),
3908    this routine returns wlte=-1.0 .
3909 
3910 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3911 @*/
3912 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3913 {
3914   PetscErrorCode ierr;
3915 
3916   PetscFunctionBegin;
3917   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3918   PetscValidType(ts,1);
3919   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3920   if (order) PetscValidIntPointer(order,3);
3921   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3922   PetscValidRealPointer(wlte,4);
3923   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3924   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3925   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3926   PetscFunctionReturn(0);
3927 }
3928 
3929 #undef __FUNCT__
3930 #define __FUNCT__ "TSEvaluateStep"
3931 /*@
3932    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3933 
3934    Collective on TS
3935 
3936    Input Arguments:
3937 +  ts - time stepping context
3938 .  order - desired order of accuracy
3939 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3940 
3941    Output Arguments:
3942 .  U - state at the end of the current step
3943 
3944    Level: advanced
3945 
3946    Notes:
3947    This function cannot be called until all stages have been evaluated.
3948    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.
3949 
3950 .seealso: TSStep(), TSAdapt
3951 @*/
3952 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3953 {
3954   PetscErrorCode ierr;
3955 
3956   PetscFunctionBegin;
3957   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3958   PetscValidType(ts,1);
3959   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3960   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3961   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3962   PetscFunctionReturn(0);
3963 }
3964 
3965 #undef __FUNCT__
3966 #define __FUNCT__ "TSForwardCostIntegral"
3967 /*@
3968  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3969 
3970  Collective on TS
3971 
3972  Input Arguments:
3973  .  ts - time stepping context
3974 
3975  Level: advanced
3976 
3977  Notes:
3978  This function cannot be called until TSStep() has been completed.
3979 
3980  .seealso: TSSolve(), TSAdjointCostIntegral()
3981  @*/
3982 PetscErrorCode TSForwardCostIntegral(TS ts)
3983 {
3984     PetscErrorCode ierr;
3985     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3986     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);
3987     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3988     PetscFunctionReturn(0);
3989 }
3990 
3991 #undef __FUNCT__
3992 #define __FUNCT__ "TSSolve"
3993 /*@
3994    TSSolve - Steps the requested number of timesteps.
3995 
3996    Collective on TS
3997 
3998    Input Parameter:
3999 +  ts - the TS context obtained from TSCreate()
4000 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
4001                              otherwise must contain the initial conditions and will contain the solution at the final requested time
4002 
4003    Level: beginner
4004 
4005    Notes:
4006    The final time returned by this function may be different from the time of the internally
4007    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4008    stepped over the final time.
4009 
4010 .keywords: TS, timestep, solve
4011 
4012 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4013 @*/
4014 PetscErrorCode TSSolve(TS ts,Vec u)
4015 {
4016   Vec               solution;
4017   PetscErrorCode    ierr;
4018 
4019   PetscFunctionBegin;
4020   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4021   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4022 
4023   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 */
4024     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4025     if (!ts->vec_sol || u == ts->vec_sol) {
4026       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4027       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4028       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4029     }
4030     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4031   } else if (u) {
4032     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4033   }
4034   ierr = TSSetUp(ts);CHKERRQ(ierr);
4035   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4036 
4037   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()");
4038   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");
4039 
4040   /* reset time step and iteration counters */
4041   ts->steps             = 0;
4042   ts->ksp_its           = 0;
4043   ts->snes_its          = 0;
4044   ts->num_snes_failures = 0;
4045   ts->reject            = 0;
4046   ts->reason            = TS_CONVERGED_ITERATING;
4047 
4048   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4049 
4050   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4051     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4052     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4053     ts->solvetime = ts->ptime;
4054     solution = ts->vec_sol;
4055   } else { /* Step the requested number of timesteps. */
4056     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4057     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4058     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4059     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4060     ts->steprollback = PETSC_FALSE;
4061     ts->steprestart  = PETSC_TRUE;
4062 
4063     while (!ts->reason) {
4064       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4065       if (!ts->steprollback) {
4066         ierr = TSPreStep(ts);CHKERRQ(ierr);
4067       }
4068       ierr = TSStep(ts);CHKERRQ(ierr);
4069       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4070         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4071       }
4072       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. */
4073       if (!ts->steprollback) {
4074         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4075         ierr = TSPostStep(ts);CHKERRQ(ierr);
4076       }
4077     }
4078     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4079 
4080     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4081       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4082       ts->solvetime = ts->max_time;
4083       solution = u;
4084       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4085     } else {
4086       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4087       ts->solvetime = ts->ptime;
4088       solution = ts->vec_sol;
4089     }
4090   }
4091 
4092   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4093   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4094   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4095   if (ts->adjoint_solve) {
4096     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4097   }
4098   PetscFunctionReturn(0);
4099 }
4100 
4101 #undef __FUNCT__
4102 #define __FUNCT__ "TSAdjointCostIntegral"
4103 /*@
4104  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4105 
4106  Collective on TS
4107 
4108  Input Arguments:
4109  .  ts - time stepping context
4110 
4111  Level: advanced
4112 
4113  Notes:
4114  This function cannot be called until TSAdjointStep() has been completed.
4115 
4116  .seealso: TSAdjointSolve(), TSAdjointStep
4117  @*/
4118 PetscErrorCode TSAdjointCostIntegral(TS ts)
4119 {
4120     PetscErrorCode ierr;
4121     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4122     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);
4123     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4124     PetscFunctionReturn(0);
4125 }
4126 
4127 #undef __FUNCT__
4128 #define __FUNCT__ "TSAdjointSolve"
4129 /*@
4130    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4131 
4132    Collective on TS
4133 
4134    Input Parameter:
4135 .  ts - the TS context obtained from TSCreate()
4136 
4137    Options Database:
4138 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4139 
4140    Level: intermediate
4141 
4142    Notes:
4143    This must be called after a call to TSSolve() that solves the forward problem
4144 
4145    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4146 
4147 .keywords: TS, timestep, solve
4148 
4149 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4150 @*/
4151 PetscErrorCode TSAdjointSolve(TS ts)
4152 {
4153   PetscErrorCode    ierr;
4154 
4155   PetscFunctionBegin;
4156   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4157   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4158 
4159   /* reset time step and iteration counters */
4160   ts->steps             = 0;
4161   ts->ksp_its           = 0;
4162   ts->snes_its          = 0;
4163   ts->num_snes_failures = 0;
4164   ts->reject            = 0;
4165   ts->reason            = TS_CONVERGED_ITERATING;
4166 
4167   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4168 
4169   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4170   while (!ts->reason) {
4171     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4172     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4173     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4174     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4175     if (ts->vec_costintegral && !ts->costintegralfwd) {
4176       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4177     }
4178   }
4179   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4180   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4181   ts->solvetime = ts->ptime;
4182   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4183   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4184   PetscFunctionReturn(0);
4185 }
4186 
4187 #undef __FUNCT__
4188 #define __FUNCT__ "TSMonitor"
4189 /*@C
4190    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4191 
4192    Collective on TS
4193 
4194    Input Parameters:
4195 +  ts - time stepping context obtained from TSCreate()
4196 .  step - step number that has just completed
4197 .  ptime - model time of the state
4198 -  u - state at the current model time
4199 
4200    Notes:
4201    TSMonitor() is typically used automatically within the time stepping implementations.
4202    Users would almost never call this routine directly.
4203 
4204    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4205 
4206    Level: developer
4207 
4208 .keywords: TS, timestep
4209 @*/
4210 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4211 {
4212   DM             dm;
4213   PetscInt       i,n = ts->numbermonitors;
4214   PetscErrorCode ierr;
4215 
4216   PetscFunctionBegin;
4217   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4218   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4219 
4220   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4221   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4222 
4223   ierr = VecLockPush(u);CHKERRQ(ierr);
4224   for (i=0; i<n; i++) {
4225     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4226   }
4227   ierr = VecLockPop(u);CHKERRQ(ierr);
4228   PetscFunctionReturn(0);
4229 }
4230 
4231 #undef __FUNCT__
4232 #define __FUNCT__ "TSAdjointMonitor"
4233 /*@C
4234    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4235 
4236    Collective on TS
4237 
4238    Input Parameters:
4239 +  ts - time stepping context obtained from TSCreate()
4240 .  step - step number that has just completed
4241 .  ptime - model time of the state
4242 .  u - state at the current model time
4243 .  numcost - number of cost functions (dimension of lambda  or mu)
4244 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4245 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4246 
4247    Notes:
4248    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4249    Users would almost never call this routine directly.
4250 
4251    Level: developer
4252 
4253 .keywords: TS, timestep
4254 @*/
4255 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4256 {
4257   PetscErrorCode ierr;
4258   PetscInt       i,n = ts->numberadjointmonitors;
4259 
4260   PetscFunctionBegin;
4261   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4262   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4263   ierr = VecLockPush(u);CHKERRQ(ierr);
4264   for (i=0; i<n; i++) {
4265     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4266   }
4267   ierr = VecLockPop(u);CHKERRQ(ierr);
4268   PetscFunctionReturn(0);
4269 }
4270 
4271 /* ------------------------------------------------------------------------*/
4272 #undef __FUNCT__
4273 #define __FUNCT__ "TSMonitorLGCtxCreate"
4274 /*@C
4275    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4276    TS to monitor the solution process graphically in various ways
4277 
4278    Collective on TS
4279 
4280    Input Parameters:
4281 +  host - the X display to open, or null for the local machine
4282 .  label - the title to put in the title bar
4283 .  x, y - the screen coordinates of the upper left coordinate of the window
4284 .  m, n - the screen width and height in pixels
4285 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4286 
4287    Output Parameter:
4288 .  ctx - the context
4289 
4290    Options Database Key:
4291 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4292 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4293 .  -ts_monitor_lg_error -  monitor the error
4294 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4295 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4296 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4297 
4298    Notes:
4299    Use TSMonitorLGCtxDestroy() to destroy.
4300 
4301    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4302 
4303    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4304    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
4305    as the first argument.
4306 
4307    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4308 
4309 
4310    Level: intermediate
4311 
4312 .keywords: TS, monitor, line graph, residual
4313 
4314 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4315            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4316            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4317            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4318            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4319 
4320 @*/
4321 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4322 {
4323   PetscDraw      draw;
4324   PetscErrorCode ierr;
4325 
4326   PetscFunctionBegin;
4327   ierr = PetscNew(ctx);CHKERRQ(ierr);
4328   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4329   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4330   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4331   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4332   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4333   (*ctx)->howoften = howoften;
4334   PetscFunctionReturn(0);
4335 }
4336 
4337 #undef __FUNCT__
4338 #define __FUNCT__ "TSMonitorLGTimeStep"
4339 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4340 {
4341   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4342   PetscReal      x   = ptime,y;
4343   PetscErrorCode ierr;
4344 
4345   PetscFunctionBegin;
4346   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4347   if (!step) {
4348     PetscDrawAxis axis;
4349     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4350     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4351     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4352   }
4353   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4354   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4355   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4356     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4357     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4358   }
4359   PetscFunctionReturn(0);
4360 }
4361 
4362 #undef __FUNCT__
4363 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4364 /*@C
4365    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4366    with TSMonitorLGCtxCreate().
4367 
4368    Collective on TSMonitorLGCtx
4369 
4370    Input Parameter:
4371 .  ctx - the monitor context
4372 
4373    Level: intermediate
4374 
4375 .keywords: TS, monitor, line graph, destroy
4376 
4377 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4378 @*/
4379 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4380 {
4381   PetscErrorCode ierr;
4382 
4383   PetscFunctionBegin;
4384   if ((*ctx)->transformdestroy) {
4385     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4386   }
4387   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4388   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4389   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4390   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4391   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4392   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4393   PetscFunctionReturn(0);
4394 }
4395 
4396 #undef __FUNCT__
4397 #define __FUNCT__ "TSGetTime"
4398 /*@
4399    TSGetTime - Gets the time of the most recently completed step.
4400 
4401    Not Collective
4402 
4403    Input Parameter:
4404 .  ts - the TS context obtained from TSCreate()
4405 
4406    Output Parameter:
4407 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4408 
4409    Level: beginner
4410 
4411    Note:
4412    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4413    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4414 
4415 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4416 
4417 .keywords: TS, get, time
4418 @*/
4419 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4420 {
4421   PetscFunctionBegin;
4422   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4423   PetscValidRealPointer(t,2);
4424   *t = ts->ptime;
4425   PetscFunctionReturn(0);
4426 }
4427 
4428 #undef __FUNCT__
4429 #define __FUNCT__ "TSGetPrevTime"
4430 /*@
4431    TSGetPrevTime - Gets the starting time of the previously completed step.
4432 
4433    Not Collective
4434 
4435    Input Parameter:
4436 .  ts - the TS context obtained from TSCreate()
4437 
4438    Output Parameter:
4439 .  t  - the previous time
4440 
4441    Level: beginner
4442 
4443 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4444 
4445 .keywords: TS, get, time
4446 @*/
4447 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4448 {
4449   PetscFunctionBegin;
4450   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4451   PetscValidRealPointer(t,2);
4452   *t = ts->ptime_prev;
4453   PetscFunctionReturn(0);
4454 }
4455 
4456 #undef __FUNCT__
4457 #define __FUNCT__ "TSSetTime"
4458 /*@
4459    TSSetTime - Allows one to reset the time.
4460 
4461    Logically Collective on TS
4462 
4463    Input Parameters:
4464 +  ts - the TS context obtained from TSCreate()
4465 -  time - the time
4466 
4467    Level: intermediate
4468 
4469 .seealso: TSGetTime(), TSSetDuration()
4470 
4471 .keywords: TS, set, time
4472 @*/
4473 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4474 {
4475   PetscFunctionBegin;
4476   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4477   PetscValidLogicalCollectiveReal(ts,t,2);
4478   ts->ptime = t;
4479   PetscFunctionReturn(0);
4480 }
4481 
4482 #undef __FUNCT__
4483 #define __FUNCT__ "TSSetOptionsPrefix"
4484 /*@C
4485    TSSetOptionsPrefix - Sets the prefix used for searching for all
4486    TS options in the database.
4487 
4488    Logically Collective on TS
4489 
4490    Input Parameter:
4491 +  ts     - The TS context
4492 -  prefix - The prefix to prepend to all option names
4493 
4494    Notes:
4495    A hyphen (-) must NOT be given at the beginning of the prefix name.
4496    The first character of all runtime options is AUTOMATICALLY the
4497    hyphen.
4498 
4499    Level: advanced
4500 
4501 .keywords: TS, set, options, prefix, database
4502 
4503 .seealso: TSSetFromOptions()
4504 
4505 @*/
4506 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4507 {
4508   PetscErrorCode ierr;
4509   SNES           snes;
4510 
4511   PetscFunctionBegin;
4512   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4513   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4514   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4515   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4516   PetscFunctionReturn(0);
4517 }
4518 
4519 
4520 #undef __FUNCT__
4521 #define __FUNCT__ "TSAppendOptionsPrefix"
4522 /*@C
4523    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4524    TS options in the database.
4525 
4526    Logically Collective on TS
4527 
4528    Input Parameter:
4529 +  ts     - The TS context
4530 -  prefix - The prefix to prepend to all option names
4531 
4532    Notes:
4533    A hyphen (-) must NOT be given at the beginning of the prefix name.
4534    The first character of all runtime options is AUTOMATICALLY the
4535    hyphen.
4536 
4537    Level: advanced
4538 
4539 .keywords: TS, append, options, prefix, database
4540 
4541 .seealso: TSGetOptionsPrefix()
4542 
4543 @*/
4544 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4545 {
4546   PetscErrorCode ierr;
4547   SNES           snes;
4548 
4549   PetscFunctionBegin;
4550   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4551   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4552   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4553   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4554   PetscFunctionReturn(0);
4555 }
4556 
4557 #undef __FUNCT__
4558 #define __FUNCT__ "TSGetOptionsPrefix"
4559 /*@C
4560    TSGetOptionsPrefix - Sets the prefix used for searching for all
4561    TS options in the database.
4562 
4563    Not Collective
4564 
4565    Input Parameter:
4566 .  ts - The TS context
4567 
4568    Output Parameter:
4569 .  prefix - A pointer to the prefix string used
4570 
4571    Notes: On the fortran side, the user should pass in a string 'prifix' of
4572    sufficient length to hold the prefix.
4573 
4574    Level: intermediate
4575 
4576 .keywords: TS, get, options, prefix, database
4577 
4578 .seealso: TSAppendOptionsPrefix()
4579 @*/
4580 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4581 {
4582   PetscErrorCode ierr;
4583 
4584   PetscFunctionBegin;
4585   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4586   PetscValidPointer(prefix,2);
4587   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4588   PetscFunctionReturn(0);
4589 }
4590 
4591 #undef __FUNCT__
4592 #define __FUNCT__ "TSGetRHSJacobian"
4593 /*@C
4594    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4595 
4596    Not Collective, but parallel objects are returned if TS is parallel
4597 
4598    Input Parameter:
4599 .  ts  - The TS context obtained from TSCreate()
4600 
4601    Output Parameters:
4602 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4603 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4604 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4605 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4606 
4607    Notes: You can pass in NULL for any return argument you do not need.
4608 
4609    Level: intermediate
4610 
4611 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4612 
4613 .keywords: TS, timestep, get, matrix, Jacobian
4614 @*/
4615 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4616 {
4617   PetscErrorCode ierr;
4618   SNES           snes;
4619   DM             dm;
4620 
4621   PetscFunctionBegin;
4622   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4623   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4624   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4625   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4626   PetscFunctionReturn(0);
4627 }
4628 
4629 #undef __FUNCT__
4630 #define __FUNCT__ "TSGetIJacobian"
4631 /*@C
4632    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4633 
4634    Not Collective, but parallel objects are returned if TS is parallel
4635 
4636    Input Parameter:
4637 .  ts  - The TS context obtained from TSCreate()
4638 
4639    Output Parameters:
4640 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4641 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4642 .  f   - The function to compute the matrices
4643 - ctx - User-defined context for Jacobian evaluation routine
4644 
4645    Notes: You can pass in NULL for any return argument you do not need.
4646 
4647    Level: advanced
4648 
4649 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4650 
4651 .keywords: TS, timestep, get, matrix, Jacobian
4652 @*/
4653 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4654 {
4655   PetscErrorCode ierr;
4656   SNES           snes;
4657   DM             dm;
4658 
4659   PetscFunctionBegin;
4660   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4661   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4662   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4663   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4664   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4665   PetscFunctionReturn(0);
4666 }
4667 
4668 
4669 #undef __FUNCT__
4670 #define __FUNCT__ "TSMonitorDrawSolution"
4671 /*@C
4672    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4673    VecView() for the solution at each timestep
4674 
4675    Collective on TS
4676 
4677    Input Parameters:
4678 +  ts - the TS context
4679 .  step - current time-step
4680 .  ptime - current time
4681 -  dummy - either a viewer or NULL
4682 
4683    Options Database:
4684 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4685 
4686    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4687        will look bad
4688 
4689    Level: intermediate
4690 
4691 .keywords: TS,  vector, monitor, view
4692 
4693 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4694 @*/
4695 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4696 {
4697   PetscErrorCode   ierr;
4698   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4699   PetscDraw        draw;
4700 
4701   PetscFunctionBegin;
4702   if (!step && ictx->showinitial) {
4703     if (!ictx->initialsolution) {
4704       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4705     }
4706     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4707   }
4708   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4709 
4710   if (ictx->showinitial) {
4711     PetscReal pause;
4712     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4713     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4714     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4715     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4716     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4717   }
4718   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4719   if (ictx->showtimestepandtime) {
4720     PetscReal xl,yl,xr,yr,h;
4721     char      time[32];
4722 
4723     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4724     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4725     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4726     h    = yl + .95*(yr - yl);
4727     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4728     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4729   }
4730 
4731   if (ictx->showinitial) {
4732     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4733   }
4734   PetscFunctionReturn(0);
4735 }
4736 
4737 #undef __FUNCT__
4738 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4739 /*@C
4740    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4741    VecView() for the sensitivities to initial states at each timestep
4742 
4743    Collective on TS
4744 
4745    Input Parameters:
4746 +  ts - the TS context
4747 .  step - current time-step
4748 .  ptime - current time
4749 .  u - current state
4750 .  numcost - number of cost functions
4751 .  lambda - sensitivities to initial conditions
4752 .  mu - sensitivities to parameters
4753 -  dummy - either a viewer or NULL
4754 
4755    Level: intermediate
4756 
4757 .keywords: TS,  vector, adjoint, monitor, view
4758 
4759 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4760 @*/
4761 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4762 {
4763   PetscErrorCode   ierr;
4764   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4765   PetscDraw        draw;
4766   PetscReal        xl,yl,xr,yr,h;
4767   char             time[32];
4768 
4769   PetscFunctionBegin;
4770   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4771 
4772   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4773   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4774   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4775   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4776   h    = yl + .95*(yr - yl);
4777   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4778   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4779   PetscFunctionReturn(0);
4780 }
4781 
4782 #undef __FUNCT__
4783 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4784 /*@C
4785    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4786 
4787    Collective on TS
4788 
4789    Input Parameters:
4790 +  ts - the TS context
4791 .  step - current time-step
4792 .  ptime - current time
4793 -  dummy - either a viewer or NULL
4794 
4795    Level: intermediate
4796 
4797 .keywords: TS,  vector, monitor, view
4798 
4799 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4800 @*/
4801 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4802 {
4803   PetscErrorCode    ierr;
4804   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4805   PetscDraw         draw;
4806   PetscDrawAxis     axis;
4807   PetscInt          n;
4808   PetscMPIInt       size;
4809   PetscReal         U0,U1,xl,yl,xr,yr,h;
4810   char              time[32];
4811   const PetscScalar *U;
4812 
4813   PetscFunctionBegin;
4814   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4815   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4816   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4817   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4818 
4819   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4820   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4821   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4822   if (!step) {
4823     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4824     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4825   }
4826 
4827   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4828   U0 = PetscRealPart(U[0]);
4829   U1 = PetscRealPart(U[1]);
4830   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4831   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4832 
4833   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4834   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4835   if (ictx->showtimestepandtime) {
4836     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4837     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4838     h    = yl + .95*(yr - yl);
4839     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4840   }
4841   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4842   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4843   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4844   PetscFunctionReturn(0);
4845 }
4846 
4847 
4848 #undef __FUNCT__
4849 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4850 /*@C
4851    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4852 
4853    Collective on TS
4854 
4855    Input Parameters:
4856 .    ctx - the monitor context
4857 
4858    Level: intermediate
4859 
4860 .keywords: TS,  vector, monitor, view
4861 
4862 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4863 @*/
4864 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4865 {
4866   PetscErrorCode ierr;
4867 
4868   PetscFunctionBegin;
4869   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4870   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4871   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4872   PetscFunctionReturn(0);
4873 }
4874 
4875 #undef __FUNCT__
4876 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4877 /*@C
4878    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4879 
4880    Collective on TS
4881 
4882    Input Parameter:
4883 .    ts - time-step context
4884 
4885    Output Patameter:
4886 .    ctx - the monitor context
4887 
4888    Options Database:
4889 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4890 
4891    Level: intermediate
4892 
4893 .keywords: TS,  vector, monitor, view
4894 
4895 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4896 @*/
4897 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4898 {
4899   PetscErrorCode   ierr;
4900 
4901   PetscFunctionBegin;
4902   ierr = PetscNew(ctx);CHKERRQ(ierr);
4903   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4904   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4905 
4906   (*ctx)->howoften    = howoften;
4907   (*ctx)->showinitial = PETSC_FALSE;
4908   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4909 
4910   (*ctx)->showtimestepandtime = PETSC_FALSE;
4911   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4912   PetscFunctionReturn(0);
4913 }
4914 
4915 #undef __FUNCT__
4916 #define __FUNCT__ "TSMonitorDrawError"
4917 /*@C
4918    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4919    VecView() for the error at each timestep
4920 
4921    Collective on TS
4922 
4923    Input Parameters:
4924 +  ts - the TS context
4925 .  step - current time-step
4926 .  ptime - current time
4927 -  dummy - either a viewer or NULL
4928 
4929    Level: intermediate
4930 
4931 .keywords: TS,  vector, monitor, view
4932 
4933 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4934 @*/
4935 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4936 {
4937   PetscErrorCode   ierr;
4938   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4939   PetscViewer      viewer = ctx->viewer;
4940   Vec              work;
4941 
4942   PetscFunctionBegin;
4943   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4944   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4945   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4946   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4947   ierr = VecView(work,viewer);CHKERRQ(ierr);
4948   ierr = VecDestroy(&work);CHKERRQ(ierr);
4949   PetscFunctionReturn(0);
4950 }
4951 
4952 #include <petsc/private/dmimpl.h>
4953 #undef __FUNCT__
4954 #define __FUNCT__ "TSSetDM"
4955 /*@
4956    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
4957 
4958    Logically Collective on TS and DM
4959 
4960    Input Parameters:
4961 +  ts - the ODE integrator object
4962 -  dm - the dm, cannot be NULL
4963 
4964    Level: intermediate
4965 
4966 
4967 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4968 @*/
4969 PetscErrorCode  TSSetDM(TS ts,DM dm)
4970 {
4971   PetscErrorCode ierr;
4972   SNES           snes;
4973   DMTS           tsdm;
4974 
4975   PetscFunctionBegin;
4976   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4977   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
4978   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4979   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4980     if (ts->dm->dmts && !dm->dmts) {
4981       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4982       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4983       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4984         tsdm->originaldm = dm;
4985       }
4986     }
4987     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4988   }
4989   ts->dm = dm;
4990 
4991   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4992   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4993   PetscFunctionReturn(0);
4994 }
4995 
4996 #undef __FUNCT__
4997 #define __FUNCT__ "TSGetDM"
4998 /*@
4999    TSGetDM - Gets the DM that may be used by some preconditioners
5000 
5001    Not Collective
5002 
5003    Input Parameter:
5004 . ts - the preconditioner context
5005 
5006    Output Parameter:
5007 .  dm - the dm
5008 
5009    Level: intermediate
5010 
5011 
5012 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5013 @*/
5014 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5015 {
5016   PetscErrorCode ierr;
5017 
5018   PetscFunctionBegin;
5019   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5020   if (!ts->dm) {
5021     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5022     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5023   }
5024   *dm = ts->dm;
5025   PetscFunctionReturn(0);
5026 }
5027 
5028 #undef __FUNCT__
5029 #define __FUNCT__ "SNESTSFormFunction"
5030 /*@
5031    SNESTSFormFunction - Function to evaluate nonlinear residual
5032 
5033    Logically Collective on SNES
5034 
5035    Input Parameter:
5036 + snes - nonlinear solver
5037 . U - the current state at which to evaluate the residual
5038 - ctx - user context, must be a TS
5039 
5040    Output Parameter:
5041 . F - the nonlinear residual
5042 
5043    Notes:
5044    This function is not normally called by users and is automatically registered with the SNES used by TS.
5045    It is most frequently passed to MatFDColoringSetFunction().
5046 
5047    Level: advanced
5048 
5049 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5050 @*/
5051 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5052 {
5053   TS             ts = (TS)ctx;
5054   PetscErrorCode ierr;
5055 
5056   PetscFunctionBegin;
5057   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5058   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5059   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5060   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5061   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5062   PetscFunctionReturn(0);
5063 }
5064 
5065 #undef __FUNCT__
5066 #define __FUNCT__ "SNESTSFormJacobian"
5067 /*@
5068    SNESTSFormJacobian - Function to evaluate the Jacobian
5069 
5070    Collective on SNES
5071 
5072    Input Parameter:
5073 + snes - nonlinear solver
5074 . U - the current state at which to evaluate the residual
5075 - ctx - user context, must be a TS
5076 
5077    Output Parameter:
5078 + A - the Jacobian
5079 . B - the preconditioning matrix (may be the same as A)
5080 - flag - indicates any structure change in the matrix
5081 
5082    Notes:
5083    This function is not normally called by users and is automatically registered with the SNES used by TS.
5084 
5085    Level: developer
5086 
5087 .seealso: SNESSetJacobian()
5088 @*/
5089 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5090 {
5091   TS             ts = (TS)ctx;
5092   PetscErrorCode ierr;
5093 
5094   PetscFunctionBegin;
5095   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5096   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5097   PetscValidPointer(A,3);
5098   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5099   PetscValidPointer(B,4);
5100   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5101   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5102   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5103   PetscFunctionReturn(0);
5104 }
5105 
5106 #undef __FUNCT__
5107 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5108 /*@C
5109    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5110 
5111    Collective on TS
5112 
5113    Input Arguments:
5114 +  ts - time stepping context
5115 .  t - time at which to evaluate
5116 .  U - state at which to evaluate
5117 -  ctx - context
5118 
5119    Output Arguments:
5120 .  F - right hand side
5121 
5122    Level: intermediate
5123 
5124    Notes:
5125    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5126    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5127 
5128 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5129 @*/
5130 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5131 {
5132   PetscErrorCode ierr;
5133   Mat            Arhs,Brhs;
5134 
5135   PetscFunctionBegin;
5136   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5137   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5138   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5139   PetscFunctionReturn(0);
5140 }
5141 
5142 #undef __FUNCT__
5143 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5144 /*@C
5145    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5146 
5147    Collective on TS
5148 
5149    Input Arguments:
5150 +  ts - time stepping context
5151 .  t - time at which to evaluate
5152 .  U - state at which to evaluate
5153 -  ctx - context
5154 
5155    Output Arguments:
5156 +  A - pointer to operator
5157 .  B - pointer to preconditioning matrix
5158 -  flg - matrix structure flag
5159 
5160    Level: intermediate
5161 
5162    Notes:
5163    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5164 
5165 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5166 @*/
5167 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5168 {
5169   PetscFunctionBegin;
5170   PetscFunctionReturn(0);
5171 }
5172 
5173 #undef __FUNCT__
5174 #define __FUNCT__ "TSComputeIFunctionLinear"
5175 /*@C
5176    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5177 
5178    Collective on TS
5179 
5180    Input Arguments:
5181 +  ts - time stepping context
5182 .  t - time at which to evaluate
5183 .  U - state at which to evaluate
5184 .  Udot - time derivative of state vector
5185 -  ctx - context
5186 
5187    Output Arguments:
5188 .  F - left hand side
5189 
5190    Level: intermediate
5191 
5192    Notes:
5193    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
5194    user is required to write their own TSComputeIFunction.
5195    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5196    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5197 
5198    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5199 
5200 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5201 @*/
5202 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5203 {
5204   PetscErrorCode ierr;
5205   Mat            A,B;
5206 
5207   PetscFunctionBegin;
5208   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5209   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5210   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5211   PetscFunctionReturn(0);
5212 }
5213 
5214 #undef __FUNCT__
5215 #define __FUNCT__ "TSComputeIJacobianConstant"
5216 /*@C
5217    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5218 
5219    Collective on TS
5220 
5221    Input Arguments:
5222 +  ts - time stepping context
5223 .  t - time at which to evaluate
5224 .  U - state at which to evaluate
5225 .  Udot - time derivative of state vector
5226 .  shift - shift to apply
5227 -  ctx - context
5228 
5229    Output Arguments:
5230 +  A - pointer to operator
5231 .  B - pointer to preconditioning matrix
5232 -  flg - matrix structure flag
5233 
5234    Level: advanced
5235 
5236    Notes:
5237    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5238 
5239    It is only appropriate for problems of the form
5240 
5241 $     M Udot = F(U,t)
5242 
5243   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5244   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5245   an implicit operator of the form
5246 
5247 $    shift*M + J
5248 
5249   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
5250   a copy of M or reassemble it when requested.
5251 
5252 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5253 @*/
5254 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5255 {
5256   PetscErrorCode ierr;
5257 
5258   PetscFunctionBegin;
5259   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5260   ts->ijacobian.shift = shift;
5261   PetscFunctionReturn(0);
5262 }
5263 
5264 #undef __FUNCT__
5265 #define __FUNCT__ "TSGetEquationType"
5266 /*@
5267    TSGetEquationType - Gets the type of the equation that TS is solving.
5268 
5269    Not Collective
5270 
5271    Input Parameter:
5272 .  ts - the TS context
5273 
5274    Output Parameter:
5275 .  equation_type - see TSEquationType
5276 
5277    Level: beginner
5278 
5279 .keywords: TS, equation type
5280 
5281 .seealso: TSSetEquationType(), TSEquationType
5282 @*/
5283 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5284 {
5285   PetscFunctionBegin;
5286   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5287   PetscValidPointer(equation_type,2);
5288   *equation_type = ts->equation_type;
5289   PetscFunctionReturn(0);
5290 }
5291 
5292 #undef __FUNCT__
5293 #define __FUNCT__ "TSSetEquationType"
5294 /*@
5295    TSSetEquationType - Sets the type of the equation that TS is solving.
5296 
5297    Not Collective
5298 
5299    Input Parameter:
5300 +  ts - the TS context
5301 -  equation_type - see TSEquationType
5302 
5303    Level: advanced
5304 
5305 .keywords: TS, equation type
5306 
5307 .seealso: TSGetEquationType(), TSEquationType
5308 @*/
5309 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5310 {
5311   PetscFunctionBegin;
5312   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5313   ts->equation_type = equation_type;
5314   PetscFunctionReturn(0);
5315 }
5316 
5317 #undef __FUNCT__
5318 #define __FUNCT__ "TSGetConvergedReason"
5319 /*@
5320    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5321 
5322    Not Collective
5323 
5324    Input Parameter:
5325 .  ts - the TS context
5326 
5327    Output Parameter:
5328 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5329             manual pages for the individual convergence tests for complete lists
5330 
5331    Level: beginner
5332 
5333    Notes:
5334    Can only be called after the call to TSSolve() is complete.
5335 
5336 .keywords: TS, nonlinear, set, convergence, test
5337 
5338 .seealso: TSSetConvergenceTest(), TSConvergedReason
5339 @*/
5340 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5341 {
5342   PetscFunctionBegin;
5343   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5344   PetscValidPointer(reason,2);
5345   *reason = ts->reason;
5346   PetscFunctionReturn(0);
5347 }
5348 
5349 #undef __FUNCT__
5350 #define __FUNCT__ "TSSetConvergedReason"
5351 /*@
5352    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5353 
5354    Not Collective
5355 
5356    Input Parameter:
5357 +  ts - the TS context
5358 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5359             manual pages for the individual convergence tests for complete lists
5360 
5361    Level: advanced
5362 
5363    Notes:
5364    Can only be called during TSSolve() is active.
5365 
5366 .keywords: TS, nonlinear, set, convergence, test
5367 
5368 .seealso: TSConvergedReason
5369 @*/
5370 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5371 {
5372   PetscFunctionBegin;
5373   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5374   ts->reason = reason;
5375   PetscFunctionReturn(0);
5376 }
5377 
5378 #undef __FUNCT__
5379 #define __FUNCT__ "TSGetSolveTime"
5380 /*@
5381    TSGetSolveTime - Gets the time after a call to TSSolve()
5382 
5383    Not Collective
5384 
5385    Input Parameter:
5386 .  ts - the TS context
5387 
5388    Output Parameter:
5389 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5390 
5391    Level: beginner
5392 
5393    Notes:
5394    Can only be called after the call to TSSolve() is complete.
5395 
5396 .keywords: TS, nonlinear, set, convergence, test
5397 
5398 .seealso: TSSetConvergenceTest(), TSConvergedReason
5399 @*/
5400 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5401 {
5402   PetscFunctionBegin;
5403   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5404   PetscValidPointer(ftime,2);
5405   *ftime = ts->solvetime;
5406   PetscFunctionReturn(0);
5407 }
5408 
5409 #undef __FUNCT__
5410 #define __FUNCT__ "TSGetTotalSteps"
5411 /*@
5412    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5413 
5414    Not Collective
5415 
5416    Input Parameter:
5417 .  ts - the TS context
5418 
5419    Output Parameter:
5420 .  steps - the number of steps
5421 
5422    Level: beginner
5423 
5424    Notes:
5425    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5426 
5427 .keywords: TS, nonlinear, set, convergence, test
5428 
5429 .seealso: TSSetConvergenceTest(), TSConvergedReason
5430 @*/
5431 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5432 {
5433   PetscFunctionBegin;
5434   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5435   PetscValidPointer(steps,2);
5436   *steps = ts->total_steps;
5437   PetscFunctionReturn(0);
5438 }
5439 
5440 #undef __FUNCT__
5441 #define __FUNCT__ "TSGetSNESIterations"
5442 /*@
5443    TSGetSNESIterations - Gets the total number of nonlinear iterations
5444    used by the time integrator.
5445 
5446    Not Collective
5447 
5448    Input Parameter:
5449 .  ts - TS context
5450 
5451    Output Parameter:
5452 .  nits - number of nonlinear iterations
5453 
5454    Notes:
5455    This counter is reset to zero for each successive call to TSSolve().
5456 
5457    Level: intermediate
5458 
5459 .keywords: TS, get, number, nonlinear, iterations
5460 
5461 .seealso:  TSGetKSPIterations()
5462 @*/
5463 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5464 {
5465   PetscFunctionBegin;
5466   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5467   PetscValidIntPointer(nits,2);
5468   *nits = ts->snes_its;
5469   PetscFunctionReturn(0);
5470 }
5471 
5472 #undef __FUNCT__
5473 #define __FUNCT__ "TSGetKSPIterations"
5474 /*@
5475    TSGetKSPIterations - Gets the total number of linear iterations
5476    used by the time integrator.
5477 
5478    Not Collective
5479 
5480    Input Parameter:
5481 .  ts - TS context
5482 
5483    Output Parameter:
5484 .  lits - number of linear iterations
5485 
5486    Notes:
5487    This counter is reset to zero for each successive call to TSSolve().
5488 
5489    Level: intermediate
5490 
5491 .keywords: TS, get, number, linear, iterations
5492 
5493 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5494 @*/
5495 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5496 {
5497   PetscFunctionBegin;
5498   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5499   PetscValidIntPointer(lits,2);
5500   *lits = ts->ksp_its;
5501   PetscFunctionReturn(0);
5502 }
5503 
5504 #undef __FUNCT__
5505 #define __FUNCT__ "TSGetStepRejections"
5506 /*@
5507    TSGetStepRejections - Gets the total number of rejected steps.
5508 
5509    Not Collective
5510 
5511    Input Parameter:
5512 .  ts - TS context
5513 
5514    Output Parameter:
5515 .  rejects - number of steps rejected
5516 
5517    Notes:
5518    This counter is reset to zero for each successive call to TSSolve().
5519 
5520    Level: intermediate
5521 
5522 .keywords: TS, get, number
5523 
5524 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5525 @*/
5526 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5527 {
5528   PetscFunctionBegin;
5529   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5530   PetscValidIntPointer(rejects,2);
5531   *rejects = ts->reject;
5532   PetscFunctionReturn(0);
5533 }
5534 
5535 #undef __FUNCT__
5536 #define __FUNCT__ "TSGetSNESFailures"
5537 /*@
5538    TSGetSNESFailures - Gets the total number of failed SNES solves
5539 
5540    Not Collective
5541 
5542    Input Parameter:
5543 .  ts - TS context
5544 
5545    Output Parameter:
5546 .  fails - number of failed nonlinear solves
5547 
5548    Notes:
5549    This counter is reset to zero for each successive call to TSSolve().
5550 
5551    Level: intermediate
5552 
5553 .keywords: TS, get, number
5554 
5555 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5556 @*/
5557 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5558 {
5559   PetscFunctionBegin;
5560   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5561   PetscValidIntPointer(fails,2);
5562   *fails = ts->num_snes_failures;
5563   PetscFunctionReturn(0);
5564 }
5565 
5566 #undef __FUNCT__
5567 #define __FUNCT__ "TSSetMaxStepRejections"
5568 /*@
5569    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5570 
5571    Not Collective
5572 
5573    Input Parameter:
5574 +  ts - TS context
5575 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5576 
5577    Notes:
5578    The counter is reset to zero for each step
5579 
5580    Options Database Key:
5581  .  -ts_max_reject - Maximum number of step rejections before a step fails
5582 
5583    Level: intermediate
5584 
5585 .keywords: TS, set, maximum, number
5586 
5587 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5588 @*/
5589 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5590 {
5591   PetscFunctionBegin;
5592   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5593   ts->max_reject = rejects;
5594   PetscFunctionReturn(0);
5595 }
5596 
5597 #undef __FUNCT__
5598 #define __FUNCT__ "TSSetMaxSNESFailures"
5599 /*@
5600    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5601 
5602    Not Collective
5603 
5604    Input Parameter:
5605 +  ts - TS context
5606 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5607 
5608    Notes:
5609    The counter is reset to zero for each successive call to TSSolve().
5610 
5611    Options Database Key:
5612  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5613 
5614    Level: intermediate
5615 
5616 .keywords: TS, set, maximum, number
5617 
5618 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5619 @*/
5620 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5621 {
5622   PetscFunctionBegin;
5623   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5624   ts->max_snes_failures = fails;
5625   PetscFunctionReturn(0);
5626 }
5627 
5628 #undef __FUNCT__
5629 #define __FUNCT__ "TSSetErrorIfStepFails"
5630 /*@
5631    TSSetErrorIfStepFails - Error if no step succeeds
5632 
5633    Not Collective
5634 
5635    Input Parameter:
5636 +  ts - TS context
5637 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5638 
5639    Options Database Key:
5640  .  -ts_error_if_step_fails - Error if no step succeeds
5641 
5642    Level: intermediate
5643 
5644 .keywords: TS, set, error
5645 
5646 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5647 @*/
5648 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5649 {
5650   PetscFunctionBegin;
5651   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5652   ts->errorifstepfailed = err;
5653   PetscFunctionReturn(0);
5654 }
5655 
5656 #undef __FUNCT__
5657 #define __FUNCT__ "TSMonitorSolution"
5658 /*@C
5659    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
5660 
5661    Collective on TS
5662 
5663    Input Parameters:
5664 +  ts - the TS context
5665 .  step - current time-step
5666 .  ptime - current time
5667 .  u - current state
5668 -  vf - viewer and its format
5669 
5670    Level: intermediate
5671 
5672 .keywords: TS,  vector, monitor, view
5673 
5674 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5675 @*/
5676 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5677 {
5678   PetscErrorCode ierr;
5679 
5680   PetscFunctionBegin;
5681   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5682   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5683   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5684   PetscFunctionReturn(0);
5685 }
5686 
5687 #undef __FUNCT__
5688 #define __FUNCT__ "TSMonitorSolutionVTK"
5689 /*@C
5690    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5691 
5692    Collective on TS
5693 
5694    Input Parameters:
5695 +  ts - the TS context
5696 .  step - current time-step
5697 .  ptime - current time
5698 .  u - current state
5699 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5700 
5701    Level: intermediate
5702 
5703    Notes:
5704    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.
5705    These are named according to the file name template.
5706 
5707    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5708 
5709 .keywords: TS,  vector, monitor, view
5710 
5711 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5712 @*/
5713 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5714 {
5715   PetscErrorCode ierr;
5716   char           filename[PETSC_MAX_PATH_LEN];
5717   PetscViewer    viewer;
5718 
5719   PetscFunctionBegin;
5720   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5721   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5722   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5723   ierr = VecView(u,viewer);CHKERRQ(ierr);
5724   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5725   PetscFunctionReturn(0);
5726 }
5727 
5728 #undef __FUNCT__
5729 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5730 /*@C
5731    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5732 
5733    Collective on TS
5734 
5735    Input Parameters:
5736 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5737 
5738    Level: intermediate
5739 
5740    Note:
5741    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5742 
5743 .keywords: TS,  vector, monitor, view
5744 
5745 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5746 @*/
5747 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5748 {
5749   PetscErrorCode ierr;
5750 
5751   PetscFunctionBegin;
5752   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5753   PetscFunctionReturn(0);
5754 }
5755 
5756 #undef __FUNCT__
5757 #define __FUNCT__ "TSGetAdapt"
5758 /*@
5759    TSGetAdapt - Get the adaptive controller context for the current method
5760 
5761    Collective on TS if controller has not been created yet
5762 
5763    Input Arguments:
5764 .  ts - time stepping context
5765 
5766    Output Arguments:
5767 .  adapt - adaptive controller
5768 
5769    Level: intermediate
5770 
5771 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5772 @*/
5773 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5774 {
5775   PetscErrorCode ierr;
5776 
5777   PetscFunctionBegin;
5778   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5779   PetscValidPointer(adapt,2);
5780   if (!ts->adapt) {
5781     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5782     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5783     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5784   }
5785   *adapt = ts->adapt;
5786   PetscFunctionReturn(0);
5787 }
5788 
5789 #undef __FUNCT__
5790 #define __FUNCT__ "TSSetTolerances"
5791 /*@
5792    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5793 
5794    Logically Collective
5795 
5796    Input Arguments:
5797 +  ts - time integration context
5798 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5799 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5800 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5801 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5802 
5803    Options Database keys:
5804 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5805 -  -ts_atol <atol> Absolute tolerance for local truncation error
5806 
5807    Notes:
5808    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5809    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5810    computed only for the differential or the algebraic part then this can be done using the vector of
5811    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5812    differential part and infinity for the algebraic part, the LTE calculation will include only the
5813    differential variables.
5814 
5815    Level: beginner
5816 
5817 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5818 @*/
5819 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5820 {
5821   PetscErrorCode ierr;
5822 
5823   PetscFunctionBegin;
5824   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5825   if (vatol) {
5826     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5827     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5828     ts->vatol = vatol;
5829   }
5830   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5831   if (vrtol) {
5832     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5833     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5834     ts->vrtol = vrtol;
5835   }
5836   PetscFunctionReturn(0);
5837 }
5838 
5839 #undef __FUNCT__
5840 #define __FUNCT__ "TSGetTolerances"
5841 /*@
5842    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5843 
5844    Logically Collective
5845 
5846    Input Arguments:
5847 .  ts - time integration context
5848 
5849    Output Arguments:
5850 +  atol - scalar absolute tolerances, NULL to ignore
5851 .  vatol - vector of absolute tolerances, NULL to ignore
5852 .  rtol - scalar relative tolerances, NULL to ignore
5853 -  vrtol - vector of relative tolerances, NULL to ignore
5854 
5855    Level: beginner
5856 
5857 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5858 @*/
5859 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5860 {
5861   PetscFunctionBegin;
5862   if (atol)  *atol  = ts->atol;
5863   if (vatol) *vatol = ts->vatol;
5864   if (rtol)  *rtol  = ts->rtol;
5865   if (vrtol) *vrtol = ts->vrtol;
5866   PetscFunctionReturn(0);
5867 }
5868 
5869 #undef __FUNCT__
5870 #define __FUNCT__ "TSErrorWeightedNorm2"
5871 /*@
5872    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5873 
5874    Collective on TS
5875 
5876    Input Arguments:
5877 +  ts - time stepping context
5878 .  U - state vector, usually ts->vec_sol
5879 -  Y - state vector to be compared to U
5880 
5881    Output Arguments:
5882 .  norm - weighted norm, a value of 1.0 is considered small
5883 
5884    Level: developer
5885 
5886 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5887 @*/
5888 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5889 {
5890   PetscErrorCode    ierr;
5891   PetscInt          i,n,N,rstart;
5892   const PetscScalar *u,*y;
5893   PetscReal         sum,gsum;
5894   PetscReal         tol;
5895 
5896   PetscFunctionBegin;
5897   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5898   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5899   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5900   PetscValidType(U,2);
5901   PetscValidType(Y,3);
5902   PetscCheckSameComm(U,2,Y,3);
5903   PetscValidPointer(norm,4);
5904   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5905 
5906   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5907   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5908   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5909   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5910   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5911   sum  = 0.;
5912   if (ts->vatol && ts->vrtol) {
5913     const PetscScalar *atol,*rtol;
5914     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5915     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5916     for (i=0; i<n; i++) {
5917       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5918       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5919     }
5920     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5921     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5922   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5923     const PetscScalar *atol;
5924     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5925     for (i=0; i<n; i++) {
5926       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5927       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5928     }
5929     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5930   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5931     const PetscScalar *rtol;
5932     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5933     for (i=0; i<n; i++) {
5934       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5935       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5936     }
5937     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5938   } else {                      /* scalar atol, scalar rtol */
5939     for (i=0; i<n; i++) {
5940       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5941       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5942     }
5943   }
5944   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5945   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5946 
5947   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5948   *norm = PetscSqrtReal(gsum / N);
5949 
5950   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5951   PetscFunctionReturn(0);
5952 }
5953 
5954 #undef __FUNCT__
5955 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5956 /*@
5957    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5958 
5959    Collective on TS
5960 
5961    Input Arguments:
5962 +  ts - time stepping context
5963 .  U - state vector, usually ts->vec_sol
5964 -  Y - state vector to be compared to U
5965 
5966    Output Arguments:
5967 .  norm - weighted norm, a value of 1.0 is considered small
5968 
5969    Level: developer
5970 
5971 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5972 @*/
5973 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5974 {
5975   PetscErrorCode    ierr;
5976   PetscInt          i,n,N,rstart,k;
5977   const PetscScalar *u,*y;
5978   PetscReal         max,gmax;
5979   PetscReal         tol;
5980 
5981   PetscFunctionBegin;
5982   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5983   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5984   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5985   PetscValidType(U,2);
5986   PetscValidType(Y,3);
5987   PetscCheckSameComm(U,2,Y,3);
5988   PetscValidPointer(norm,4);
5989   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5990 
5991   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5992   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5993   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5994   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5995   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5996   if (ts->vatol && ts->vrtol) {
5997     const PetscScalar *atol,*rtol;
5998     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5999     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6000     k = 0;
6001     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6002     max = PetscAbsScalar(y[k] - u[k]) / tol;
6003     for (i=1; i<n; i++) {
6004       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6005       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6006     }
6007     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6008     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6009   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6010     const PetscScalar *atol;
6011     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6012     k = 0;
6013     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6014     max = PetscAbsScalar(y[k] - u[k]) / tol;
6015     for (i=1; i<n; i++) {
6016       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6017       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6018     }
6019     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6020   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6021     const PetscScalar *rtol;
6022     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6023     k = 0;
6024     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6025     max = PetscAbsScalar(y[k] - u[k]) / tol;
6026     for (i=1; i<n; i++) {
6027       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6028       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6029     }
6030     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6031   } else {                      /* scalar atol, scalar rtol */
6032     k = 0;
6033     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6034     max = PetscAbsScalar(y[k] - u[k]) / tol;
6035     for (i=1; i<n; i++) {
6036       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6037       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6038     }
6039   }
6040   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6041   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6042 
6043   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6044   *norm = gmax;
6045 
6046   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6047   PetscFunctionReturn(0);
6048 }
6049 
6050 #undef __FUNCT__
6051 #define __FUNCT__ "TSErrorWeightedNorm"
6052 /*@
6053    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6054 
6055    Collective on TS
6056 
6057    Input Arguments:
6058 +  ts - time stepping context
6059 .  U - state vector, usually ts->vec_sol
6060 .  Y - state vector to be compared to U
6061 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6062 
6063    Output Arguments:
6064 .  norm - weighted norm, a value of 1.0 is considered small
6065 
6066 
6067    Options Database Keys:
6068 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6069 
6070    Level: developer
6071 
6072 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6073 @*/
6074 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
6075 {
6076   PetscErrorCode ierr;
6077 
6078   PetscFunctionBegin;
6079   if (wnormtype == NORM_2) {
6080     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6081   } else if(wnormtype == NORM_INFINITY) {
6082     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6083   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6084   PetscFunctionReturn(0);
6085 }
6086 
6087 #undef __FUNCT__
6088 #define __FUNCT__ "TSSetCFLTimeLocal"
6089 /*@
6090    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6091 
6092    Logically Collective on TS
6093 
6094    Input Arguments:
6095 +  ts - time stepping context
6096 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6097 
6098    Note:
6099    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6100 
6101    Level: intermediate
6102 
6103 .seealso: TSGetCFLTime(), TSADAPTCFL
6104 @*/
6105 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6106 {
6107   PetscFunctionBegin;
6108   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6109   ts->cfltime_local = cfltime;
6110   ts->cfltime       = -1.;
6111   PetscFunctionReturn(0);
6112 }
6113 
6114 #undef __FUNCT__
6115 #define __FUNCT__ "TSGetCFLTime"
6116 /*@
6117    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6118 
6119    Collective on TS
6120 
6121    Input Arguments:
6122 .  ts - time stepping context
6123 
6124    Output Arguments:
6125 .  cfltime - maximum stable time step for forward Euler
6126 
6127    Level: advanced
6128 
6129 .seealso: TSSetCFLTimeLocal()
6130 @*/
6131 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6132 {
6133   PetscErrorCode ierr;
6134 
6135   PetscFunctionBegin;
6136   if (ts->cfltime < 0) {
6137     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6138   }
6139   *cfltime = ts->cfltime;
6140   PetscFunctionReturn(0);
6141 }
6142 
6143 #undef __FUNCT__
6144 #define __FUNCT__ "TSVISetVariableBounds"
6145 /*@
6146    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6147 
6148    Input Parameters:
6149 .  ts   - the TS context.
6150 .  xl   - lower bound.
6151 .  xu   - upper bound.
6152 
6153    Notes:
6154    If this routine is not called then the lower and upper bounds are set to
6155    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6156 
6157    Level: advanced
6158 
6159 @*/
6160 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6161 {
6162   PetscErrorCode ierr;
6163   SNES           snes;
6164 
6165   PetscFunctionBegin;
6166   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6167   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6168   PetscFunctionReturn(0);
6169 }
6170 
6171 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6172 #include <mex.h>
6173 
6174 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6175 
6176 #undef __FUNCT__
6177 #define __FUNCT__ "TSComputeFunction_Matlab"
6178 /*
6179    TSComputeFunction_Matlab - Calls the function that has been set with
6180                          TSSetFunctionMatlab().
6181 
6182    Collective on TS
6183 
6184    Input Parameters:
6185 +  snes - the TS context
6186 -  u - input vector
6187 
6188    Output Parameter:
6189 .  y - function vector, as set by TSSetFunction()
6190 
6191    Notes:
6192    TSComputeFunction() is typically used within nonlinear solvers
6193    implementations, so most users would not generally call this routine
6194    themselves.
6195 
6196    Level: developer
6197 
6198 .keywords: TS, nonlinear, compute, function
6199 
6200 .seealso: TSSetFunction(), TSGetFunction()
6201 */
6202 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6203 {
6204   PetscErrorCode  ierr;
6205   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6206   int             nlhs  = 1,nrhs = 7;
6207   mxArray         *plhs[1],*prhs[7];
6208   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6209 
6210   PetscFunctionBegin;
6211   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6212   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6213   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6214   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6215   PetscCheckSameComm(snes,1,u,3);
6216   PetscCheckSameComm(snes,1,y,5);
6217 
6218   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6219   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6220   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6221   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6222 
6223   prhs[0] =  mxCreateDoubleScalar((double)ls);
6224   prhs[1] =  mxCreateDoubleScalar(time);
6225   prhs[2] =  mxCreateDoubleScalar((double)lx);
6226   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6227   prhs[4] =  mxCreateDoubleScalar((double)ly);
6228   prhs[5] =  mxCreateString(sctx->funcname);
6229   prhs[6] =  sctx->ctx;
6230   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6231   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6232   mxDestroyArray(prhs[0]);
6233   mxDestroyArray(prhs[1]);
6234   mxDestroyArray(prhs[2]);
6235   mxDestroyArray(prhs[3]);
6236   mxDestroyArray(prhs[4]);
6237   mxDestroyArray(prhs[5]);
6238   mxDestroyArray(plhs[0]);
6239   PetscFunctionReturn(0);
6240 }
6241 
6242 
6243 #undef __FUNCT__
6244 #define __FUNCT__ "TSSetFunctionMatlab"
6245 /*
6246    TSSetFunctionMatlab - Sets the function evaluation routine and function
6247    vector for use by the TS routines in solving ODEs
6248    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6249 
6250    Logically Collective on TS
6251 
6252    Input Parameters:
6253 +  ts - the TS context
6254 -  func - function evaluation routine
6255 
6256    Calling sequence of func:
6257 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6258 
6259    Level: beginner
6260 
6261 .keywords: TS, nonlinear, set, function
6262 
6263 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6264 */
6265 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6266 {
6267   PetscErrorCode  ierr;
6268   TSMatlabContext *sctx;
6269 
6270   PetscFunctionBegin;
6271   /* currently sctx is memory bleed */
6272   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6273   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6274   /*
6275      This should work, but it doesn't
6276   sctx->ctx = ctx;
6277   mexMakeArrayPersistent(sctx->ctx);
6278   */
6279   sctx->ctx = mxDuplicateArray(ctx);
6280 
6281   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6282   PetscFunctionReturn(0);
6283 }
6284 
6285 #undef __FUNCT__
6286 #define __FUNCT__ "TSComputeJacobian_Matlab"
6287 /*
6288    TSComputeJacobian_Matlab - Calls the function that has been set with
6289                          TSSetJacobianMatlab().
6290 
6291    Collective on TS
6292 
6293    Input Parameters:
6294 +  ts - the TS context
6295 .  u - input vector
6296 .  A, B - the matrices
6297 -  ctx - user context
6298 
6299    Level: developer
6300 
6301 .keywords: TS, nonlinear, compute, function
6302 
6303 .seealso: TSSetFunction(), TSGetFunction()
6304 @*/
6305 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6306 {
6307   PetscErrorCode  ierr;
6308   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6309   int             nlhs  = 2,nrhs = 9;
6310   mxArray         *plhs[2],*prhs[9];
6311   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6312 
6313   PetscFunctionBegin;
6314   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6315   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6316 
6317   /* call Matlab function in ctx with arguments u and y */
6318 
6319   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6320   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6321   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6322   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6323   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6324 
6325   prhs[0] =  mxCreateDoubleScalar((double)ls);
6326   prhs[1] =  mxCreateDoubleScalar((double)time);
6327   prhs[2] =  mxCreateDoubleScalar((double)lx);
6328   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6329   prhs[4] =  mxCreateDoubleScalar((double)shift);
6330   prhs[5] =  mxCreateDoubleScalar((double)lA);
6331   prhs[6] =  mxCreateDoubleScalar((double)lB);
6332   prhs[7] =  mxCreateString(sctx->funcname);
6333   prhs[8] =  sctx->ctx;
6334   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6335   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6336   mxDestroyArray(prhs[0]);
6337   mxDestroyArray(prhs[1]);
6338   mxDestroyArray(prhs[2]);
6339   mxDestroyArray(prhs[3]);
6340   mxDestroyArray(prhs[4]);
6341   mxDestroyArray(prhs[5]);
6342   mxDestroyArray(prhs[6]);
6343   mxDestroyArray(prhs[7]);
6344   mxDestroyArray(plhs[0]);
6345   mxDestroyArray(plhs[1]);
6346   PetscFunctionReturn(0);
6347 }
6348 
6349 
6350 #undef __FUNCT__
6351 #define __FUNCT__ "TSSetJacobianMatlab"
6352 /*
6353    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6354    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
6355 
6356    Logically Collective on TS
6357 
6358    Input Parameters:
6359 +  ts - the TS context
6360 .  A,B - Jacobian matrices
6361 .  func - function evaluation routine
6362 -  ctx - user context
6363 
6364    Calling sequence of func:
6365 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6366 
6367 
6368    Level: developer
6369 
6370 .keywords: TS, nonlinear, set, function
6371 
6372 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6373 */
6374 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6375 {
6376   PetscErrorCode  ierr;
6377   TSMatlabContext *sctx;
6378 
6379   PetscFunctionBegin;
6380   /* currently sctx is memory bleed */
6381   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6382   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6383   /*
6384      This should work, but it doesn't
6385   sctx->ctx = ctx;
6386   mexMakeArrayPersistent(sctx->ctx);
6387   */
6388   sctx->ctx = mxDuplicateArray(ctx);
6389 
6390   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6391   PetscFunctionReturn(0);
6392 }
6393 
6394 #undef __FUNCT__
6395 #define __FUNCT__ "TSMonitor_Matlab"
6396 /*
6397    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6398 
6399    Collective on TS
6400 
6401 .seealso: TSSetFunction(), TSGetFunction()
6402 @*/
6403 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6404 {
6405   PetscErrorCode  ierr;
6406   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6407   int             nlhs  = 1,nrhs = 6;
6408   mxArray         *plhs[1],*prhs[6];
6409   long long int   lx = 0,ls = 0;
6410 
6411   PetscFunctionBegin;
6412   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6413   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6414 
6415   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6416   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6417 
6418   prhs[0] =  mxCreateDoubleScalar((double)ls);
6419   prhs[1] =  mxCreateDoubleScalar((double)it);
6420   prhs[2] =  mxCreateDoubleScalar((double)time);
6421   prhs[3] =  mxCreateDoubleScalar((double)lx);
6422   prhs[4] =  mxCreateString(sctx->funcname);
6423   prhs[5] =  sctx->ctx;
6424   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6425   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6426   mxDestroyArray(prhs[0]);
6427   mxDestroyArray(prhs[1]);
6428   mxDestroyArray(prhs[2]);
6429   mxDestroyArray(prhs[3]);
6430   mxDestroyArray(prhs[4]);
6431   mxDestroyArray(plhs[0]);
6432   PetscFunctionReturn(0);
6433 }
6434 
6435 
6436 #undef __FUNCT__
6437 #define __FUNCT__ "TSMonitorSetMatlab"
6438 /*
6439    TSMonitorSetMatlab - Sets the monitor function from Matlab
6440 
6441    Level: developer
6442 
6443 .keywords: TS, nonlinear, set, function
6444 
6445 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6446 */
6447 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6448 {
6449   PetscErrorCode  ierr;
6450   TSMatlabContext *sctx;
6451 
6452   PetscFunctionBegin;
6453   /* currently sctx is memory bleed */
6454   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6455   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6456   /*
6457      This should work, but it doesn't
6458   sctx->ctx = ctx;
6459   mexMakeArrayPersistent(sctx->ctx);
6460   */
6461   sctx->ctx = mxDuplicateArray(ctx);
6462 
6463   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6464   PetscFunctionReturn(0);
6465 }
6466 #endif
6467 
6468 #undef __FUNCT__
6469 #define __FUNCT__ "TSMonitorLGSolution"
6470 /*@C
6471    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6472        in a time based line graph
6473 
6474    Collective on TS
6475 
6476    Input Parameters:
6477 +  ts - the TS context
6478 .  step - current time-step
6479 .  ptime - current time
6480 .  u - current solution
6481 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6482 
6483    Options Database:
6484 .   -ts_monitor_lg_solution_variables
6485 
6486    Level: intermediate
6487 
6488    Notes: Each process in a parallel run displays its component solutions in a separate window
6489 
6490 .keywords: TS,  vector, monitor, view
6491 
6492 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6493            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6494            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6495            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6496 @*/
6497 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6498 {
6499   PetscErrorCode    ierr;
6500   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6501   const PetscScalar *yy;
6502   Vec               v;
6503 
6504   PetscFunctionBegin;
6505   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6506   if (!step) {
6507     PetscDrawAxis axis;
6508     PetscInt      dim;
6509     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6510     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6511     if (!ctx->names) {
6512       PetscBool flg;
6513       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6514       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6515       if (flg) {
6516         PetscInt i,n;
6517         char     **names;
6518         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6519         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6520         for (i=0; i<n; i++) {
6521           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6522           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6523         }
6524         names[n] = NULL;
6525         ctx->names = names;
6526       }
6527     }
6528     if (ctx->names && !ctx->displaynames) {
6529       char      **displaynames;
6530       PetscBool flg;
6531       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6532       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6533       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6534       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6535       if (flg) {
6536         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6537       }
6538       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6539     }
6540     if (ctx->displaynames) {
6541       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6542       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6543     } else if (ctx->names) {
6544       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6545       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6546       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6547     } else {
6548       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6549       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6550     }
6551     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6552   }
6553 
6554   if (!ctx->transform) v = u;
6555   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6556   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6557   if (ctx->displaynames) {
6558     PetscInt i;
6559     for (i=0; i<ctx->ndisplayvariables; i++)
6560       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6561     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6562   } else {
6563 #if defined(PETSC_USE_COMPLEX)
6564     PetscInt  i,n;
6565     PetscReal *yreal;
6566     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6567     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6568     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6569     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6570     ierr = PetscFree(yreal);CHKERRQ(ierr);
6571 #else
6572     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6573 #endif
6574   }
6575   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6576   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6577 
6578   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6579     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6580     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6581   }
6582   PetscFunctionReturn(0);
6583 }
6584 
6585 
6586 #undef __FUNCT__
6587 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6588 /*@C
6589    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6590 
6591    Collective on TS
6592 
6593    Input Parameters:
6594 +  ts - the TS context
6595 -  names - the names of the components, final string must be NULL
6596 
6597    Level: intermediate
6598 
6599    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6600 
6601 .keywords: TS,  vector, monitor, view
6602 
6603 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6604 @*/
6605 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6606 {
6607   PetscErrorCode    ierr;
6608   PetscInt          i;
6609 
6610   PetscFunctionBegin;
6611   for (i=0; i<ts->numbermonitors; i++) {
6612     if (ts->monitor[i] == TSMonitorLGSolution) {
6613       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6614       break;
6615     }
6616   }
6617   PetscFunctionReturn(0);
6618 }
6619 
6620 #undef __FUNCT__
6621 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6622 /*@C
6623    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6624 
6625    Collective on TS
6626 
6627    Input Parameters:
6628 +  ts - the TS context
6629 -  names - the names of the components, final string must be NULL
6630 
6631    Level: intermediate
6632 
6633 .keywords: TS,  vector, monitor, view
6634 
6635 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6636 @*/
6637 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6638 {
6639   PetscErrorCode    ierr;
6640 
6641   PetscFunctionBegin;
6642   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6643   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6644   PetscFunctionReturn(0);
6645 }
6646 
6647 #undef __FUNCT__
6648 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6649 /*@C
6650    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6651 
6652    Collective on TS
6653 
6654    Input Parameter:
6655 .  ts - the TS context
6656 
6657    Output Parameter:
6658 .  names - the names of the components, final string must be NULL
6659 
6660    Level: intermediate
6661 
6662    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6663 
6664 .keywords: TS,  vector, monitor, view
6665 
6666 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6667 @*/
6668 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6669 {
6670   PetscInt       i;
6671 
6672   PetscFunctionBegin;
6673   *names = NULL;
6674   for (i=0; i<ts->numbermonitors; i++) {
6675     if (ts->monitor[i] == TSMonitorLGSolution) {
6676       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6677       *names = (const char *const *)ctx->names;
6678       break;
6679     }
6680   }
6681   PetscFunctionReturn(0);
6682 }
6683 
6684 #undef __FUNCT__
6685 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6686 /*@C
6687    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6688 
6689    Collective on TS
6690 
6691    Input Parameters:
6692 +  ctx - the TSMonitorLG context
6693 .  displaynames - the names of the components, final string must be NULL
6694 
6695    Level: intermediate
6696 
6697 .keywords: TS,  vector, monitor, view
6698 
6699 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6700 @*/
6701 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6702 {
6703   PetscInt          j = 0,k;
6704   PetscErrorCode    ierr;
6705 
6706   PetscFunctionBegin;
6707   if (!ctx->names) PetscFunctionReturn(0);
6708   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6709   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6710   while (displaynames[j]) j++;
6711   ctx->ndisplayvariables = j;
6712   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6713   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6714   j = 0;
6715   while (displaynames[j]) {
6716     k = 0;
6717     while (ctx->names[k]) {
6718       PetscBool flg;
6719       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6720       if (flg) {
6721         ctx->displayvariables[j] = k;
6722         break;
6723       }
6724       k++;
6725     }
6726     j++;
6727   }
6728   PetscFunctionReturn(0);
6729 }
6730 
6731 
6732 #undef __FUNCT__
6733 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6734 /*@C
6735    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6736 
6737    Collective on TS
6738 
6739    Input Parameters:
6740 +  ts - the TS context
6741 .  displaynames - the names of the components, final string must be NULL
6742 
6743    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6744 
6745    Level: intermediate
6746 
6747 .keywords: TS,  vector, monitor, view
6748 
6749 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6750 @*/
6751 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6752 {
6753   PetscInt          i;
6754   PetscErrorCode    ierr;
6755 
6756   PetscFunctionBegin;
6757   for (i=0; i<ts->numbermonitors; i++) {
6758     if (ts->monitor[i] == TSMonitorLGSolution) {
6759       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6760       break;
6761     }
6762   }
6763   PetscFunctionReturn(0);
6764 }
6765 
6766 #undef __FUNCT__
6767 #define __FUNCT__ "TSMonitorLGSetTransform"
6768 /*@C
6769    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6770 
6771    Collective on TS
6772 
6773    Input Parameters:
6774 +  ts - the TS context
6775 .  transform - the transform function
6776 .  destroy - function to destroy the optional context
6777 -  ctx - optional context used by transform function
6778 
6779    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6780 
6781    Level: intermediate
6782 
6783 .keywords: TS,  vector, monitor, view
6784 
6785 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6786 @*/
6787 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6788 {
6789   PetscInt          i;
6790   PetscErrorCode    ierr;
6791 
6792   PetscFunctionBegin;
6793   for (i=0; i<ts->numbermonitors; i++) {
6794     if (ts->monitor[i] == TSMonitorLGSolution) {
6795       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6796     }
6797   }
6798   PetscFunctionReturn(0);
6799 }
6800 
6801 #undef __FUNCT__
6802 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6803 /*@C
6804    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6805 
6806    Collective on TSLGCtx
6807 
6808    Input Parameters:
6809 +  ts - the TS context
6810 .  transform - the transform function
6811 .  destroy - function to destroy the optional context
6812 -  ctx - optional context used by transform function
6813 
6814    Level: intermediate
6815 
6816 .keywords: TS,  vector, monitor, view
6817 
6818 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6819 @*/
6820 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6821 {
6822   PetscFunctionBegin;
6823   ctx->transform    = transform;
6824   ctx->transformdestroy = destroy;
6825   ctx->transformctx = tctx;
6826   PetscFunctionReturn(0);
6827 }
6828 
6829 #undef __FUNCT__
6830 #define __FUNCT__ "TSMonitorLGError"
6831 /*@C
6832    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6833        in a time based line graph
6834 
6835    Collective on TS
6836 
6837    Input Parameters:
6838 +  ts - the TS context
6839 .  step - current time-step
6840 .  ptime - current time
6841 .  u - current solution
6842 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6843 
6844    Level: intermediate
6845 
6846    Notes: Each process in a parallel run displays its component errors in a separate window
6847 
6848    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6849 
6850    Options Database Keys:
6851 .  -ts_monitor_lg_error - create a graphical monitor of error history
6852 
6853 .keywords: TS,  vector, monitor, view
6854 
6855 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6856 @*/
6857 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6858 {
6859   PetscErrorCode    ierr;
6860   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6861   const PetscScalar *yy;
6862   Vec               y;
6863 
6864   PetscFunctionBegin;
6865   if (!step) {
6866     PetscDrawAxis axis;
6867     PetscInt      dim;
6868     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6869     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6870     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6871     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6872     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6873   }
6874   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6875   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6876   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6877   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6878 #if defined(PETSC_USE_COMPLEX)
6879   {
6880     PetscReal *yreal;
6881     PetscInt  i,n;
6882     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6883     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6884     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6885     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6886     ierr = PetscFree(yreal);CHKERRQ(ierr);
6887   }
6888 #else
6889   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6890 #endif
6891   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6892   ierr = VecDestroy(&y);CHKERRQ(ierr);
6893   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6894     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6895     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6896   }
6897   PetscFunctionReturn(0);
6898 }
6899 
6900 #undef __FUNCT__
6901 #define __FUNCT__ "TSMonitorLGSNESIterations"
6902 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6903 {
6904   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6905   PetscReal      x   = ptime,y;
6906   PetscErrorCode ierr;
6907   PetscInt       its;
6908 
6909   PetscFunctionBegin;
6910   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6911   if (!n) {
6912     PetscDrawAxis axis;
6913     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6914     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6915     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6916     ctx->snes_its = 0;
6917   }
6918   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6919   y    = its - ctx->snes_its;
6920   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6921   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6922     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6923     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6924   }
6925   ctx->snes_its = its;
6926   PetscFunctionReturn(0);
6927 }
6928 
6929 #undef __FUNCT__
6930 #define __FUNCT__ "TSMonitorLGKSPIterations"
6931 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6932 {
6933   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6934   PetscReal      x   = ptime,y;
6935   PetscErrorCode ierr;
6936   PetscInt       its;
6937 
6938   PetscFunctionBegin;
6939   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6940   if (!n) {
6941     PetscDrawAxis axis;
6942     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6943     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6944     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6945     ctx->ksp_its = 0;
6946   }
6947   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6948   y    = its - ctx->ksp_its;
6949   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6950   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6951     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6952     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6953   }
6954   ctx->ksp_its = its;
6955   PetscFunctionReturn(0);
6956 }
6957 
6958 #undef __FUNCT__
6959 #define __FUNCT__ "TSComputeLinearStability"
6960 /*@
6961    TSComputeLinearStability - computes the linear stability function at a point
6962 
6963    Collective on TS and Vec
6964 
6965    Input Parameters:
6966 +  ts - the TS context
6967 -  xr,xi - real and imaginary part of input arguments
6968 
6969    Output Parameters:
6970 .  yr,yi - real and imaginary part of function value
6971 
6972    Level: developer
6973 
6974 .keywords: TS, compute
6975 
6976 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6977 @*/
6978 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6979 {
6980   PetscErrorCode ierr;
6981 
6982   PetscFunctionBegin;
6983   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6984   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6985   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6986   PetscFunctionReturn(0);
6987 }
6988 
6989 /* ------------------------------------------------------------------------*/
6990 #undef __FUNCT__
6991 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6992 /*@C
6993    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6994 
6995    Collective on TS
6996 
6997    Input Parameters:
6998 .  ts  - the ODE solver object
6999 
7000    Output Parameter:
7001 .  ctx - the context
7002 
7003    Level: intermediate
7004 
7005 .keywords: TS, monitor, line graph, residual, seealso
7006 
7007 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7008 
7009 @*/
7010 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7011 {
7012   PetscErrorCode ierr;
7013 
7014   PetscFunctionBegin;
7015   ierr = PetscNew(ctx);CHKERRQ(ierr);
7016   PetscFunctionReturn(0);
7017 }
7018 
7019 #undef __FUNCT__
7020 #define __FUNCT__ "TSMonitorEnvelope"
7021 /*@C
7022    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7023 
7024    Collective on TS
7025 
7026    Input Parameters:
7027 +  ts - the TS context
7028 .  step - current time-step
7029 .  ptime - current time
7030 .  u  - current solution
7031 -  dctx - the envelope context
7032 
7033    Options Database:
7034 .  -ts_monitor_envelope
7035 
7036    Level: intermediate
7037 
7038    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7039 
7040 .keywords: TS,  vector, monitor, view
7041 
7042 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7043 @*/
7044 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7045 {
7046   PetscErrorCode       ierr;
7047   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7048 
7049   PetscFunctionBegin;
7050   if (!ctx->max) {
7051     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7052     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7053     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7054     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7055   } else {
7056     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7057     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7058   }
7059   PetscFunctionReturn(0);
7060 }
7061 
7062 
7063 #undef __FUNCT__
7064 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7065 /*@C
7066    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7067 
7068    Collective on TS
7069 
7070    Input Parameter:
7071 .  ts - the TS context
7072 
7073    Output Parameter:
7074 +  max - the maximum values
7075 -  min - the minimum values
7076 
7077    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7078 
7079    Level: intermediate
7080 
7081 .keywords: TS,  vector, monitor, view
7082 
7083 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7084 @*/
7085 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7086 {
7087   PetscInt i;
7088 
7089   PetscFunctionBegin;
7090   if (max) *max = NULL;
7091   if (min) *min = NULL;
7092   for (i=0; i<ts->numbermonitors; i++) {
7093     if (ts->monitor[i] == TSMonitorEnvelope) {
7094       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7095       if (max) *max = ctx->max;
7096       if (min) *min = ctx->min;
7097       break;
7098     }
7099   }
7100   PetscFunctionReturn(0);
7101 }
7102 
7103 #undef __FUNCT__
7104 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7105 /*@C
7106    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7107 
7108    Collective on TSMonitorEnvelopeCtx
7109 
7110    Input Parameter:
7111 .  ctx - the monitor context
7112 
7113    Level: intermediate
7114 
7115 .keywords: TS, monitor, line graph, destroy
7116 
7117 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7118 @*/
7119 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7120 {
7121   PetscErrorCode ierr;
7122 
7123   PetscFunctionBegin;
7124   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7125   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7126   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7127   PetscFunctionReturn(0);
7128 }
7129 
7130 #undef __FUNCT__
7131 #define __FUNCT__ "TSRollBack"
7132 /*@
7133    TSRollBack - Rolls back one time step
7134 
7135    Collective on TS
7136 
7137    Input Parameter:
7138 .  ts - the TS context obtained from TSCreate()
7139 
7140    Level: advanced
7141 
7142 .keywords: TS, timestep, rollback
7143 
7144 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7145 @*/
7146 PetscErrorCode  TSRollBack(TS ts)
7147 {
7148   PetscErrorCode ierr;
7149 
7150   PetscFunctionBegin;
7151   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7152   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7153   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7154   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7155   ts->time_step = ts->ptime - ts->ptime_prev;
7156   ts->ptime = ts->ptime_prev;
7157   ts->ptime_prev = ts->ptime_prev_rollback;
7158   ts->steps--; ts->total_steps--;
7159   ts->steprollback = PETSC_TRUE;
7160   PetscFunctionReturn(0);
7161 }
7162 
7163 #undef __FUNCT__
7164 #define __FUNCT__ "TSGetStages"
7165 /*@
7166    TSGetStages - Get the number of stages and stage values
7167 
7168    Input Parameter:
7169 .  ts - the TS context obtained from TSCreate()
7170 
7171    Level: advanced
7172 
7173 .keywords: TS, getstages
7174 
7175 .seealso: TSCreate()
7176 @*/
7177 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7178 {
7179   PetscErrorCode ierr;
7180 
7181   PetscFunctionBegin;
7182   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7183   PetscValidPointer(ns,2);
7184 
7185   if (!ts->ops->getstages) *ns=0;
7186   else {
7187     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7188   }
7189   PetscFunctionReturn(0);
7190 }
7191 
7192 #undef __FUNCT__
7193 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7194 /*@C
7195   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7196 
7197   Collective on SNES
7198 
7199   Input Parameters:
7200 + ts - the TS context
7201 . t - current timestep
7202 . U - state vector
7203 . Udot - time derivative of state vector
7204 . shift - shift to apply, see note below
7205 - ctx - an optional user context
7206 
7207   Output Parameters:
7208 + J - Jacobian matrix (not altered in this routine)
7209 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7210 
7211   Level: intermediate
7212 
7213   Notes:
7214   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7215 
7216   dF/dU + shift*dF/dUdot
7217 
7218   Most users should not need to explicitly call this routine, as it
7219   is used internally within the nonlinear solvers.
7220 
7221   This will first try to get the coloring from the DM.  If the DM type has no coloring
7222   routine, then it will try to get the coloring from the matrix.  This requires that the
7223   matrix have nonzero entries precomputed.
7224 
7225 .keywords: TS, finite differences, Jacobian, coloring, sparse
7226 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7227 @*/
7228 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7229 {
7230   SNES           snes;
7231   MatFDColoring  color;
7232   PetscBool      hascolor, matcolor = PETSC_FALSE;
7233   PetscErrorCode ierr;
7234 
7235   PetscFunctionBegin;
7236   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7237   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7238   if (!color) {
7239     DM         dm;
7240     ISColoring iscoloring;
7241 
7242     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7243     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7244     if (hascolor && !matcolor) {
7245       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7246       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7247       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7248       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7249       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7250       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7251     } else {
7252       MatColoring mc;
7253 
7254       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7255       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7256       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7257       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7258       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7259       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7260       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7261       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7262       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7263       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7264       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7265     }
7266     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7267     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7268   }
7269   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7270   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7271   if (J != B) {
7272     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7273     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7274   }
7275   PetscFunctionReturn(0);
7276 }
7277 
7278 #undef __FUNCT__
7279 #define __FUNCT__ "TSSetFunctionDomainError"
7280 /*@
7281     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7282 
7283     Input Parameters:
7284     ts - the TS context
7285     func - function called within TSFunctionDomainError
7286 
7287     Level: intermediate
7288 
7289 .keywords: TS, state, domain
7290 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7291 @*/
7292 
7293 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7294 {
7295   PetscFunctionBegin;
7296   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7297   ts->functiondomainerror = func;
7298   PetscFunctionReturn(0);
7299 }
7300 
7301 #undef __FUNCT__
7302 #define __FUNCT__ "TSFunctionDomainError"
7303 /*@
7304     TSFunctionDomainError - Check if the current state is valid
7305 
7306     Input Parameters:
7307     ts - the TS context
7308     stagetime - time of the simulation
7309     Y - state vector to check.
7310 
7311     Output Parameter:
7312     accept - Set to PETSC_FALSE if the current state vector is valid.
7313 
7314     Note:
7315     This function should be used to ensure the state is in a valid part of the space.
7316     For example, one can ensure here all values are positive.
7317 
7318     Level: advanced
7319 @*/
7320 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7321 {
7322   PetscErrorCode ierr;
7323 
7324   PetscFunctionBegin;
7325 
7326   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7327   *accept = PETSC_TRUE;
7328   if (ts->functiondomainerror) {
7329     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7330   }
7331   PetscFunctionReturn(0);
7332 }
7333 
7334 #undef  __FUNCT__
7335 #define __FUNCT__ "TSClone"
7336 /*@C
7337   TSClone - This function clones a time step object.
7338 
7339   Collective on MPI_Comm
7340 
7341   Input Parameter:
7342 . tsin    - The input TS
7343 
7344   Output Parameter:
7345 . tsout   - The output TS (cloned)
7346 
7347   Notes:
7348   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.
7349 
7350   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);
7351 
7352   Level: developer
7353 
7354 .keywords: TS, clone
7355 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7356 @*/
7357 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7358 {
7359   TS             t;
7360   PetscErrorCode ierr;
7361   SNES           snes_start;
7362   DM             dm;
7363   TSType         type;
7364 
7365   PetscFunctionBegin;
7366   PetscValidPointer(tsin,1);
7367   *tsout = NULL;
7368 
7369   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7370 
7371   /* General TS description */
7372   t->numbermonitors    = 0;
7373   t->setupcalled       = 0;
7374   t->ksp_its           = 0;
7375   t->snes_its          = 0;
7376   t->nwork             = 0;
7377   t->rhsjacobian.time  = -1e20;
7378   t->rhsjacobian.scale = 1.;
7379   t->ijacobian.shift   = 1.;
7380 
7381   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7382   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7383 
7384   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7385   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7386 
7387   t->adapt = tsin->adapt;
7388   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7389 
7390   t->problem_type      = tsin->problem_type;
7391   t->ptime             = tsin->ptime;
7392   t->time_step         = tsin->time_step;
7393   t->max_time          = tsin->max_time;
7394   t->steps             = tsin->steps;
7395   t->max_steps         = tsin->max_steps;
7396   t->equation_type     = tsin->equation_type;
7397   t->atol              = tsin->atol;
7398   t->rtol              = tsin->rtol;
7399   t->max_snes_failures = tsin->max_snes_failures;
7400   t->max_reject        = tsin->max_reject;
7401   t->errorifstepfailed = tsin->errorifstepfailed;
7402 
7403   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7404   ierr = TSSetType(t,type);CHKERRQ(ierr);
7405 
7406   t->vec_sol           = NULL;
7407 
7408   t->cfltime          = tsin->cfltime;
7409   t->cfltime_local    = tsin->cfltime_local;
7410   t->exact_final_time = tsin->exact_final_time;
7411 
7412   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7413 
7414   if (((PetscObject)tsin)->fortran_func_pointers) {
7415     PetscInt i;
7416     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7417     for (i=0; i<10; i++) {
7418       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7419     }
7420   }
7421   *tsout = t;
7422   PetscFunctionReturn(0);
7423 }
7424