xref: /petsc/src/ts/interface/ts.c (revision 57df6a1bd76a1afd5f0ff85519718d9a01746aa3)
1 
2 #include <petsc/private/tsimpl.h>        /*I "petscts.h"  I*/
3 #include <petscdmshell.h>
4 #include <petscdmda.h>
5 #include <petscviewer.h>
6 #include <petscdraw.h>
7 
8 /* Logging support */
9 PetscClassId  TS_CLASSID, DMTS_CLASSID;
10 PetscLogEvent TS_AdjointStep, TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"UNSPECIFIED","STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   Vec           initialsolution;
17   PetscBool     showinitial;
18   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
19   PetscBool     showtimestepandtime;
20 };
21 
22 #undef __FUNCT__
23 #define __FUNCT__ "TSMonitorSetFromOptions"
24 /*@C
25    TSMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
26 
27    Collective on TS
28 
29    Input Parameters:
30 +  ts - TS object you wish to monitor
31 .  name - the monitor type one is seeking
32 .  help - message indicating what monitoring is done
33 .  manual - manual page for the monitor
34 .  monitor - the monitor function
35 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
36 
37    Level: developer
38 
39 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
40           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
41           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
42           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
43           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
44           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
45           PetscOptionsFList(), PetscOptionsEList()
46 @*/
47 PetscErrorCode  TSMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
48 {
49   PetscErrorCode    ierr;
50   PetscViewer       viewer;
51   PetscViewerFormat format;
52   PetscBool         flg;
53 
54   PetscFunctionBegin;
55   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
56   if (flg) {
57     PetscViewerAndFormat *vf;
58     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
59     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
60     if (monitorsetup) {
61       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
62     }
63     ierr = TSMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
64   }
65   PetscFunctionReturn(0);
66 }
67 
68 #undef __FUNCT__
69 #define __FUNCT__ "TSAdjointMonitorSetFromOptions"
70 /*@C
71    TSAdjointMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
72 
73    Collective on TS
74 
75    Input Parameters:
76 +  ts - TS object you wish to monitor
77 .  name - the monitor type one is seeking
78 .  help - message indicating what monitoring is done
79 .  manual - manual page for the monitor
80 .  monitor - the monitor function
81 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
82 
83    Level: developer
84 
85 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
86           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
87           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
88           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
89           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
90           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
91           PetscOptionsFList(), PetscOptionsEList()
92 @*/
93 PetscErrorCode  TSAdjointMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
94 {
95   PetscErrorCode    ierr;
96   PetscViewer       viewer;
97   PetscViewerFormat format;
98   PetscBool         flg;
99 
100   PetscFunctionBegin;
101   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
102   if (flg) {
103     PetscViewerAndFormat *vf;
104     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
105     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
106     if (monitorsetup) {
107       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
108     }
109     ierr = TSAdjointMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
110   }
111   PetscFunctionReturn(0);
112 }
113 
114 #undef __FUNCT__
115 #define __FUNCT__ "TSSetFromOptions"
116 /*@
117    TSSetFromOptions - Sets various TS parameters from user options.
118 
119    Collective on TS
120 
121    Input Parameter:
122 .  ts - the TS context obtained from TSCreate()
123 
124    Options Database Keys:
125 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSALPHA, TSGLLE, TSSSP, TSGLEE
126 .  -ts_save_trajectory - checkpoint the solution at each time-step
127 .  -ts_max_steps <maxsteps> - maximum number of time-steps to take
128 .  -ts_final_time <time> - maximum time to compute to
129 .  -ts_dt <dt> - initial time step
130 .  -ts_exact_final_time <stepover,interpolate,matchstep> whether to stop at the exact given final time and how to compute the solution at that ti,e
131 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
132 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
133 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
134 .  -ts_rtol <rtol> - relative tolerance for local truncation error
135 .  -ts_atol <atol> Absolute tolerance for local truncation error
136 .  -ts_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
137 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
138 .  -ts_monitor - print information at each timestep
139 .  -ts_monitor_lg_solution - Monitor solution graphically
140 .  -ts_monitor_lg_error - Monitor error graphically
141 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
142 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
143 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
144 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
145 .  -ts_monitor_draw_solution - Monitor solution graphically
146 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
147 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
148 .  -ts_monitor_solution [ascii binary draw][:filename][:viewerformat] - monitors the solution at each timestep
149 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
150 .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
151 .  -ts_adjoint_monitor - print information at each adjoint time step
152 -  -ts_adjoint_monitor_draw_sensi - monitor the sensitivity of the first cost function wrt initial conditions (lambda[0]) graphically
153 
154    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
155 
156    Level: beginner
157 
158 .keywords: TS, timestep, set, options, database
159 
160 .seealso: TSGetType()
161 @*/
162 PetscErrorCode  TSSetFromOptions(TS ts)
163 {
164   PetscBool              opt,flg,tflg;
165   PetscErrorCode         ierr;
166   char                   monfilename[PETSC_MAX_PATH_LEN];
167   PetscReal              time_step;
168   TSExactFinalTimeOption eftopt;
169   char                   dir[16];
170   TSIFunction            ifun;
171   const char             *defaultType;
172   char                   typeName[256];
173 
174   PetscFunctionBegin;
175   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
176 
177   ierr = TSRegisterAll();CHKERRQ(ierr);
178   ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
179 
180   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
181   if (((PetscObject)ts)->type_name)
182     defaultType = ((PetscObject)ts)->type_name;
183   else
184     defaultType = ifun ? TSBEULER : TSEULER;
185   ierr = PetscOptionsFList("-ts_type","TS method","TSSetType",TSList,defaultType,typeName,256,&opt);CHKERRQ(ierr);
186   if (opt) {
187     ierr = TSSetType(ts,typeName);CHKERRQ(ierr);
188   } else {
189     ierr = TSSetType(ts,defaultType);CHKERRQ(ierr);
190   }
191 
192   /* Handle generic TS options */
193   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
194   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
195   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
196   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
197   if (flg) {ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);}
198   ierr = PetscOptionsEnum("-ts_exact_final_time","Option for handling of final time step","TSSetExactFinalTime",TSExactFinalTimeOptions,(PetscEnum)ts->exact_final_time,(PetscEnum*)&eftopt,&flg);CHKERRQ(ierr);
199   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
200   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
201   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
202   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
203   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
204   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
205 
206 #if defined(PETSC_HAVE_SAWS)
207   {
208   PetscBool set;
209   flg  = PETSC_FALSE;
210   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
211   if (set) {
212     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
213   }
214   }
215 #endif
216 
217   /* Monitor options */
218   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor","Monitor time and timestep size","TSMonitorDefault",TSMonitorDefault,NULL);CHKERRQ(ierr);
219   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor_solution","View the solution at each timestep","TSMonitorSolution",TSMonitorSolution,NULL);CHKERRQ(ierr);
220   ierr = TSAdjointMonitorSetFromOptions(ts,"-ts_adjoint_monitor","Monitor adjoint timestep size","TSAdjointMonitorDefault",TSAdjointMonitorDefault,NULL);CHKERRQ(ierr);
221 
222   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
223   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
224 
225   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
226   if (opt) {
227     TSMonitorLGCtx ctx;
228     PetscInt       howoften = 1;
229 
230     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
231     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
232     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
233   }
234 
235   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorLGCtx ctx;
238     PetscInt       howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
243   }
244 
245   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
246   if (opt) {
247     TSMonitorLGCtx ctx;
248     PetscInt       howoften = 1;
249 
250     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
251     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
252     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
253   }
254   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
255   if (opt) {
256     TSMonitorLGCtx ctx;
257     PetscInt       howoften = 1;
258 
259     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
260     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
261     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
262   }
263   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
264   if (opt) {
265     TSMonitorLGCtx ctx;
266     PetscInt       howoften = 1;
267 
268     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
269     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
270     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
271   }
272   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
273   if (opt) {
274     TSMonitorSPEigCtx ctx;
275     PetscInt          howoften = 1;
276 
277     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
278     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
279     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
280   }
281   opt  = PETSC_FALSE;
282   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
283   if (opt) {
284     TSMonitorDrawCtx ctx;
285     PetscInt         howoften = 1;
286 
287     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
288     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
289     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
290   }
291   opt  = PETSC_FALSE;
292   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
293   if (opt) {
294     TSMonitorDrawCtx ctx;
295     PetscInt         howoften = 1;
296 
297     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
298     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
299     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
300   }
301   opt  = PETSC_FALSE;
302   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
303   if (opt) {
304     TSMonitorDrawCtx ctx;
305     PetscReal        bounds[4];
306     PetscInt         n = 4;
307     PetscDraw        draw;
308     PetscDrawAxis    axis;
309 
310     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
311     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
312     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,1,&ctx);CHKERRQ(ierr);
313     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
314     ierr = PetscViewerDrawGetDrawAxis(ctx->viewer,0,&axis);CHKERRQ(ierr);
315     ierr = PetscDrawAxisSetLimits(axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
316     ierr = PetscDrawAxisSetLabels(axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
317     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
318   }
319   opt  = PETSC_FALSE;
320   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
321   if (opt) {
322     TSMonitorDrawCtx ctx;
323     PetscInt         howoften = 1;
324 
325     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
326     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
327     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
328   }
329 
330   opt  = PETSC_FALSE;
331   ierr = PetscOptionsString("-ts_monitor_solution_vtk","Save each time step to a binary file, use filename-%%03D.vts","TSMonitorSolutionVTK",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
332   if (flg) {
333     const char *ptr,*ptr2;
334     char       *filetemplate;
335     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
336     /* Do some cursory validation of the input. */
337     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
338     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
339     for (ptr++; ptr && *ptr; ptr++) {
340       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
341       if (!ptr2 && (*ptr < '0' || '9' < *ptr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Invalid file template argument to -ts_monitor_solution_vtk, should look like filename-%%03D.vts");
342       if (ptr2) break;
343     }
344     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
345     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
346   }
347 
348   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
349   if (flg) {
350     TSMonitorDMDARayCtx *rayctx;
351     int                  ray = 0;
352     DMDADirection        ddir;
353     DM                   da;
354     PetscMPIInt          rank;
355 
356     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
357     if (dir[0] == 'x') ddir = DMDA_X;
358     else if (dir[0] == 'y') ddir = DMDA_Y;
359     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
360     sscanf(dir+2,"%d",&ray);
361 
362     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
363     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
364     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
365     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
366     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
367     if (!rank) {
368       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
369     }
370     rayctx->lgctx = NULL;
371     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
372   }
373   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
374   if (flg) {
375     TSMonitorDMDARayCtx *rayctx;
376     int                 ray = 0;
377     DMDADirection       ddir;
378     DM                  da;
379     PetscInt            howoften = 1;
380 
381     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
382     if      (dir[0] == 'x') ddir = DMDA_X;
383     else if (dir[0] == 'y') ddir = DMDA_Y;
384     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
385     sscanf(dir+2, "%d", &ray);
386 
387     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
388     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
389     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
390     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
391     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
392     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
393   }
394 
395   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
396   if (opt) {
397     TSMonitorEnvelopeCtx ctx;
398 
399     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
400     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
401   }
402 
403   flg  = PETSC_FALSE;
404   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
405   if (flg) {
406     DM   dm;
407     DMTS tdm;
408 
409     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
410     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
411     tdm->ijacobianctx = NULL;
412     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
413     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
414   }
415 
416   if (ts->adapt) {
417     ierr = TSAdaptSetFromOptions(PetscOptionsObject,ts->adapt);CHKERRQ(ierr);
418   }
419 
420   /* Handle specific TS options */
421   if (ts->ops->setfromoptions) {
422     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
423   }
424 
425   /* TS trajectory must be set after TS, since it may use some TS options above */
426   tflg = ts->trajectory ? PETSC_TRUE : PETSC_FALSE;
427   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
428   if (tflg) {
429     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
430   }
431   tflg = ts->adjoint_solve ? PETSC_TRUE : PETSC_FALSE;
432   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
433   if (flg) {
434     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
435     ts->adjoint_solve = tflg;
436   }
437 
438   /* process any options handlers added with PetscObjectAddOptionsHandler() */
439   ierr = PetscObjectProcessOptionsHandlers(PetscOptionsObject,(PetscObject)ts);CHKERRQ(ierr);
440   ierr = PetscOptionsEnd();CHKERRQ(ierr);
441 
442   if (ts->trajectory) {
443     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
444   }
445 
446   ierr = TSGetSNES(ts,&ts->snes);CHKERRQ(ierr);
447   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);}
448   ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "TSSetSaveTrajectory"
454 /*@
455    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
456 
457    Collective on TS
458 
459    Input Parameters:
460 .  ts - the TS context obtained from TSCreate()
461 
462 Note: This routine should be called after all TS options have been set
463 
464    Level: intermediate
465 
466 .seealso: TSGetTrajectory(), TSAdjointSolve()
467 
468 .keywords: TS, set, checkpoint,
469 @*/
470 PetscErrorCode  TSSetSaveTrajectory(TS ts)
471 {
472   PetscErrorCode ierr;
473 
474   PetscFunctionBegin;
475   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
476   if (!ts->trajectory) {
477     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
478     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "TSComputeRHSJacobian"
485 /*@
486    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
487       set with TSSetRHSJacobian().
488 
489    Collective on TS and Vec
490 
491    Input Parameters:
492 +  ts - the TS context
493 .  t - current timestep
494 -  U - input vector
495 
496    Output Parameters:
497 +  A - Jacobian matrix
498 .  B - optional preconditioning matrix
499 -  flag - flag indicating matrix structure
500 
501    Notes:
502    Most users should not need to explicitly call this routine, as it
503    is used internally within the nonlinear solvers.
504 
505    See KSPSetOperators() for important information about setting the
506    flag parameter.
507 
508    Level: developer
509 
510 .keywords: SNES, compute, Jacobian, matrix
511 
512 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
513 @*/
514 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
515 {
516   PetscErrorCode ierr;
517   PetscObjectState Ustate;
518   DM             dm;
519   DMTS           tsdm;
520   TSRHSJacobian  rhsjacobianfunc;
521   void           *ctx;
522   TSIJacobian    ijacobianfunc;
523   TSRHSFunction  rhsfunction;
524 
525   PetscFunctionBegin;
526   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
527   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
528   PetscCheckSameComm(ts,1,U,3);
529   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
530   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
531   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
532   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
533   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
534   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
535   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
536     PetscFunctionReturn(0);
537   }
538 
539   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
540 
541   if (ts->rhsjacobian.reuse) {
542     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
543     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
544     if (A != B) {
545       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
546       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
547     }
548     ts->rhsjacobian.shift = 0;
549     ts->rhsjacobian.scale = 1.;
550   }
551 
552   if (rhsjacobianfunc) {
553     PetscBool missing;
554     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
555     PetscStackPush("TS user Jacobian function");
556     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
557     PetscStackPop;
558     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
559     if (A) {
560       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
561       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
562     }
563     if (B && B != A) {
564       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
565       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
566     }
567   } else {
568     ierr = MatZeroEntries(A);CHKERRQ(ierr);
569     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
570   }
571   ts->rhsjacobian.time       = t;
572   ts->rhsjacobian.X          = U;
573   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSComputeRHSFunction"
579 /*@
580    TSComputeRHSFunction - Evaluates the right-hand-side function.
581 
582    Collective on TS and Vec
583 
584    Input Parameters:
585 +  ts - the TS context
586 .  t - current time
587 -  U - state vector
588 
589    Output Parameter:
590 .  y - right hand side
591 
592    Note:
593    Most users should not need to explicitly call this routine, as it
594    is used internally within the nonlinear solvers.
595 
596    Level: developer
597 
598 .keywords: TS, compute
599 
600 .seealso: TSSetRHSFunction(), TSComputeIFunction()
601 @*/
602 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
603 {
604   PetscErrorCode ierr;
605   TSRHSFunction  rhsfunction;
606   TSIFunction    ifunction;
607   void           *ctx;
608   DM             dm;
609 
610   PetscFunctionBegin;
611   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
612   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
613   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
614   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
615   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
616   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
617 
618   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
619 
620   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
621   if (rhsfunction) {
622     PetscStackPush("TS user right-hand-side function");
623     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
624     PetscStackPop;
625   } else {
626     ierr = VecZeroEntries(y);CHKERRQ(ierr);
627   }
628 
629   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "TSComputeSolutionFunction"
635 /*@
636    TSComputeSolutionFunction - Evaluates the solution function.
637 
638    Collective on TS and Vec
639 
640    Input Parameters:
641 +  ts - the TS context
642 -  t - current time
643 
644    Output Parameter:
645 .  U - the solution
646 
647    Note:
648    Most users should not need to explicitly call this routine, as it
649    is used internally within the nonlinear solvers.
650 
651    Level: developer
652 
653 .keywords: TS, compute
654 
655 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
656 @*/
657 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
658 {
659   PetscErrorCode     ierr;
660   TSSolutionFunction solutionfunction;
661   void               *ctx;
662   DM                 dm;
663 
664   PetscFunctionBegin;
665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
666   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
669 
670   if (solutionfunction) {
671     PetscStackPush("TS user solution function");
672     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
673     PetscStackPop;
674   }
675   PetscFunctionReturn(0);
676 }
677 #undef __FUNCT__
678 #define __FUNCT__ "TSComputeForcingFunction"
679 /*@
680    TSComputeForcingFunction - Evaluates the forcing function.
681 
682    Collective on TS and Vec
683 
684    Input Parameters:
685 +  ts - the TS context
686 -  t - current time
687 
688    Output Parameter:
689 .  U - the function value
690 
691    Note:
692    Most users should not need to explicitly call this routine, as it
693    is used internally within the nonlinear solvers.
694 
695    Level: developer
696 
697 .keywords: TS, compute
698 
699 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
700 @*/
701 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
702 {
703   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
704   void               *ctx;
705   DM                 dm;
706 
707   PetscFunctionBegin;
708   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
709   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
710   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
711   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
712 
713   if (forcing) {
714     PetscStackPush("TS user forcing function");
715     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
716     PetscStackPop;
717   }
718   PetscFunctionReturn(0);
719 }
720 
721 #undef __FUNCT__
722 #define __FUNCT__ "TSGetRHSVec_Private"
723 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
724 {
725   Vec            F;
726   PetscErrorCode ierr;
727 
728   PetscFunctionBegin;
729   *Frhs = NULL;
730   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
731   if (!ts->Frhs) {
732     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
733   }
734   *Frhs = ts->Frhs;
735   PetscFunctionReturn(0);
736 }
737 
738 #undef __FUNCT__
739 #define __FUNCT__ "TSGetRHSMats_Private"
740 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
741 {
742   Mat            A,B;
743   PetscErrorCode ierr;
744 
745   PetscFunctionBegin;
746   if (Arhs) *Arhs = NULL;
747   if (Brhs) *Brhs = NULL;
748   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
749   if (Arhs) {
750     if (!ts->Arhs) {
751       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
752     }
753     *Arhs = ts->Arhs;
754   }
755   if (Brhs) {
756     if (!ts->Brhs) {
757       if (A != B) {
758         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
759       } else {
760         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
761         ts->Brhs = ts->Arhs;
762       }
763     }
764     *Brhs = ts->Brhs;
765   }
766   PetscFunctionReturn(0);
767 }
768 
769 #undef __FUNCT__
770 #define __FUNCT__ "TSComputeIFunction"
771 /*@
772    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
773 
774    Collective on TS and Vec
775 
776    Input Parameters:
777 +  ts - the TS context
778 .  t - current time
779 .  U - state vector
780 .  Udot - time derivative of state vector
781 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
782 
783    Output Parameter:
784 .  Y - right hand side
785 
786    Note:
787    Most users should not need to explicitly call this routine, as it
788    is used internally within the nonlinear solvers.
789 
790    If the user did did not write their equations in implicit form, this
791    function recasts them in implicit form.
792 
793    Level: developer
794 
795 .keywords: TS, compute
796 
797 .seealso: TSSetIFunction(), TSComputeRHSFunction()
798 @*/
799 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
800 {
801   PetscErrorCode ierr;
802   TSIFunction    ifunction;
803   TSRHSFunction  rhsfunction;
804   void           *ctx;
805   DM             dm;
806 
807   PetscFunctionBegin;
808   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
809   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
810   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
811   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
812 
813   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
814   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
815   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
816 
817   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
818 
819   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
820   if (ifunction) {
821     PetscStackPush("TS user implicit function");
822     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
823     PetscStackPop;
824   }
825   if (imex) {
826     if (!ifunction) {
827       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
828     }
829   } else if (rhsfunction) {
830     if (ifunction) {
831       Vec Frhs;
832       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
833       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
834       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
835     } else {
836       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
837       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
838     }
839   }
840   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
841   PetscFunctionReturn(0);
842 }
843 
844 #undef __FUNCT__
845 #define __FUNCT__ "TSComputeIJacobian"
846 /*@
847    TSComputeIJacobian - Evaluates the Jacobian of the DAE
848 
849    Collective on TS and Vec
850 
851    Input
852       Input Parameters:
853 +  ts - the TS context
854 .  t - current timestep
855 .  U - state vector
856 .  Udot - time derivative of state vector
857 .  shift - shift to apply, see note below
858 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
859 
860    Output Parameters:
861 +  A - Jacobian matrix
862 .  B - optional preconditioning matrix
863 -  flag - flag indicating matrix structure
864 
865    Notes:
866    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
867 
868    dF/dU + shift*dF/dUdot
869 
870    Most users should not need to explicitly call this routine, as it
871    is used internally within the nonlinear solvers.
872 
873    Level: developer
874 
875 .keywords: TS, compute, Jacobian, matrix
876 
877 .seealso:  TSSetIJacobian()
878 @*/
879 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
880 {
881   PetscErrorCode ierr;
882   TSIJacobian    ijacobian;
883   TSRHSJacobian  rhsjacobian;
884   DM             dm;
885   void           *ctx;
886 
887   PetscFunctionBegin;
888   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
889   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
890   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
891   PetscValidPointer(A,6);
892   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
893   PetscValidPointer(B,7);
894   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
895 
896   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
897   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
898   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
899 
900   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
901 
902   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
903   if (ijacobian) {
904     PetscBool missing;
905     PetscStackPush("TS user implicit Jacobian");
906     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
907     PetscStackPop;
908     if (A) {
909       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
910       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
911     }
912     if (B && B != A) {
913       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
914       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
915     }
916   }
917   if (imex) {
918     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
919       ierr = MatZeroEntries(A);CHKERRQ(ierr);
920       ierr = MatShift(A,shift);CHKERRQ(ierr);
921       if (A != B) {
922         ierr = MatZeroEntries(B);CHKERRQ(ierr);
923         ierr = MatShift(B,shift);CHKERRQ(ierr);
924       }
925     }
926   } else {
927     Mat Arhs = NULL,Brhs = NULL;
928     if (rhsjacobian) {
929       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
930       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
931     }
932     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
933       ts->rhsjacobian.scale = -1;
934       ts->rhsjacobian.shift = shift;
935       ierr = MatScale(A,-1);CHKERRQ(ierr);
936       ierr = MatShift(A,shift);CHKERRQ(ierr);
937       if (A != B) {
938         ierr = MatScale(B,-1);CHKERRQ(ierr);
939         ierr = MatShift(B,shift);CHKERRQ(ierr);
940       }
941     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
942       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
943       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
944         ierr = MatZeroEntries(A);CHKERRQ(ierr);
945         ierr = MatShift(A,shift);CHKERRQ(ierr);
946         if (A != B) {
947           ierr = MatZeroEntries(B);CHKERRQ(ierr);
948           ierr = MatShift(B,shift);CHKERRQ(ierr);
949         }
950       }
951       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
952       if (A != B) {
953         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
954       }
955     }
956   }
957   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 #undef __FUNCT__
962 #define __FUNCT__ "TSSetRHSFunction"
963 /*@C
964     TSSetRHSFunction - Sets the routine for evaluating the function,
965     where U_t = G(t,u).
966 
967     Logically Collective on TS
968 
969     Input Parameters:
970 +   ts - the TS context obtained from TSCreate()
971 .   r - vector to put the computed right hand side (or NULL to have it created)
972 .   f - routine for evaluating the right-hand-side function
973 -   ctx - [optional] user-defined context for private data for the
974           function evaluation routine (may be NULL)
975 
976     Calling sequence of func:
977 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
978 
979 +   t - current timestep
980 .   u - input vector
981 .   F - function vector
982 -   ctx - [optional] user-defined function context
983 
984     Level: beginner
985 
986     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
987 
988 .keywords: TS, timestep, set, right-hand-side, function
989 
990 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
991 @*/
992 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
993 {
994   PetscErrorCode ierr;
995   SNES           snes;
996   Vec            ralloc = NULL;
997   DM             dm;
998 
999   PetscFunctionBegin;
1000   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1001   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1002 
1003   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1004   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
1005   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1006   if (!r && !ts->dm && ts->vec_sol) {
1007     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1008     r = ralloc;
1009   }
1010   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1011   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1012   PetscFunctionReturn(0);
1013 }
1014 
1015 #undef __FUNCT__
1016 #define __FUNCT__ "TSSetSolutionFunction"
1017 /*@C
1018     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
1019 
1020     Logically Collective on TS
1021 
1022     Input Parameters:
1023 +   ts - the TS context obtained from TSCreate()
1024 .   f - routine for evaluating the solution
1025 -   ctx - [optional] user-defined context for private data for the
1026           function evaluation routine (may be NULL)
1027 
1028     Calling sequence of func:
1029 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1030 
1031 +   t - current timestep
1032 .   u - output vector
1033 -   ctx - [optional] user-defined function context
1034 
1035     Notes:
1036     This routine is used for testing accuracy of time integration schemes when you already know the solution.
1037     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
1038     create closed-form solutions with non-physical forcing terms.
1039 
1040     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1041 
1042     Level: beginner
1043 
1044 .keywords: TS, timestep, set, right-hand-side, function
1045 
1046 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
1047 @*/
1048 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1049 {
1050   PetscErrorCode ierr;
1051   DM             dm;
1052 
1053   PetscFunctionBegin;
1054   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1055   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1056   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
1057   PetscFunctionReturn(0);
1058 }
1059 
1060 #undef __FUNCT__
1061 #define __FUNCT__ "TSSetForcingFunction"
1062 /*@C
1063     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
1064 
1065     Logically Collective on TS
1066 
1067     Input Parameters:
1068 +   ts - the TS context obtained from TSCreate()
1069 .   f - routine for evaluating the forcing function
1070 -   ctx - [optional] user-defined context for private data for the
1071           function evaluation routine (may be NULL)
1072 
1073     Calling sequence of func:
1074 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1075 
1076 +   t - current timestep
1077 .   u - output vector
1078 -   ctx - [optional] user-defined function context
1079 
1080     Notes:
1081     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
1082     create closed-form solutions with a non-physical forcing term.
1083 
1084     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1085 
1086     Level: beginner
1087 
1088 .keywords: TS, timestep, set, right-hand-side, function
1089 
1090 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1091 @*/
1092 PetscErrorCode  TSSetForcingFunction(TS ts,TSForcingFunction f,void *ctx)
1093 {
1094   PetscErrorCode ierr;
1095   DM             dm;
1096 
1097   PetscFunctionBegin;
1098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1099   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1100   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 #undef __FUNCT__
1105 #define __FUNCT__ "TSSetRHSJacobian"
1106 /*@C
1107    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1108    where U_t = G(U,t), as well as the location to store the matrix.
1109 
1110    Logically Collective on TS
1111 
1112    Input Parameters:
1113 +  ts  - the TS context obtained from TSCreate()
1114 .  Amat - (approximate) Jacobian matrix
1115 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1116 .  f   - the Jacobian evaluation routine
1117 -  ctx - [optional] user-defined context for private data for the
1118          Jacobian evaluation routine (may be NULL)
1119 
1120    Calling sequence of f:
1121 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1122 
1123 +  t - current timestep
1124 .  u - input vector
1125 .  Amat - (approximate) Jacobian matrix
1126 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1127 -  ctx - [optional] user-defined context for matrix evaluation routine
1128 
1129    Notes:
1130    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1131 
1132    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1133    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1134 
1135    Level: beginner
1136 
1137 .keywords: TS, timestep, set, right-hand-side, Jacobian
1138 
1139 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1140 
1141 @*/
1142 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1143 {
1144   PetscErrorCode ierr;
1145   SNES           snes;
1146   DM             dm;
1147   TSIJacobian    ijacobian;
1148 
1149   PetscFunctionBegin;
1150   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1151   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1152   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1153   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1154   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1155 
1156   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1157   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1158   if (f == TSComputeRHSJacobianConstant) {
1159     /* Handle this case automatically for the user; otherwise user should call themselves. */
1160     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1161   }
1162   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1163   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1164   if (!ijacobian) {
1165     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1166   }
1167   if (Amat) {
1168     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1169     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1170     ts->Arhs = Amat;
1171   }
1172   if (Pmat) {
1173     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1174     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1175     ts->Brhs = Pmat;
1176   }
1177   PetscFunctionReturn(0);
1178 }
1179 
1180 
1181 #undef __FUNCT__
1182 #define __FUNCT__ "TSSetIFunction"
1183 /*@C
1184    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1185 
1186    Logically Collective on TS
1187 
1188    Input Parameters:
1189 +  ts  - the TS context obtained from TSCreate()
1190 .  r   - vector to hold the residual (or NULL to have it created internally)
1191 .  f   - the function evaluation routine
1192 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1193 
1194    Calling sequence of f:
1195 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1196 
1197 +  t   - time at step/stage being solved
1198 .  u   - state vector
1199 .  u_t - time derivative of state vector
1200 .  F   - function vector
1201 -  ctx - [optional] user-defined context for matrix evaluation routine
1202 
1203    Important:
1204    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1205 
1206    Level: beginner
1207 
1208 .keywords: TS, timestep, set, DAE, Jacobian
1209 
1210 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1211 @*/
1212 PetscErrorCode  TSSetIFunction(TS ts,Vec r,TSIFunction f,void *ctx)
1213 {
1214   PetscErrorCode ierr;
1215   SNES           snes;
1216   Vec            ralloc = NULL;
1217   DM             dm;
1218 
1219   PetscFunctionBegin;
1220   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1221   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1222 
1223   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1224   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1225 
1226   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1227   if (!r && !ts->dm && ts->vec_sol) {
1228     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1229     r  = ralloc;
1230   }
1231   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1232   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 #undef __FUNCT__
1237 #define __FUNCT__ "TSGetIFunction"
1238 /*@C
1239    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1240 
1241    Not Collective
1242 
1243    Input Parameter:
1244 .  ts - the TS context
1245 
1246    Output Parameter:
1247 +  r - vector to hold residual (or NULL)
1248 .  func - the function to compute residual (or NULL)
1249 -  ctx - the function context (or NULL)
1250 
1251    Level: advanced
1252 
1253 .keywords: TS, nonlinear, get, function
1254 
1255 .seealso: TSSetIFunction(), SNESGetFunction()
1256 @*/
1257 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1258 {
1259   PetscErrorCode ierr;
1260   SNES           snes;
1261   DM             dm;
1262 
1263   PetscFunctionBegin;
1264   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1265   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1266   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1267   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1268   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "TSGetRHSFunction"
1274 /*@C
1275    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1276 
1277    Not Collective
1278 
1279    Input Parameter:
1280 .  ts - the TS context
1281 
1282    Output Parameter:
1283 +  r - vector to hold computed right hand side (or NULL)
1284 .  func - the function to compute right hand side (or NULL)
1285 -  ctx - the function context (or NULL)
1286 
1287    Level: advanced
1288 
1289 .keywords: TS, nonlinear, get, function
1290 
1291 .seealso: TSSetRHSFunction(), SNESGetFunction()
1292 @*/
1293 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1294 {
1295   PetscErrorCode ierr;
1296   SNES           snes;
1297   DM             dm;
1298 
1299   PetscFunctionBegin;
1300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1301   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1302   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1303   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1304   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1305   PetscFunctionReturn(0);
1306 }
1307 
1308 #undef __FUNCT__
1309 #define __FUNCT__ "TSSetIJacobian"
1310 /*@C
1311    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1312         provided with TSSetIFunction().
1313 
1314    Logically Collective on TS
1315 
1316    Input Parameters:
1317 +  ts  - the TS context obtained from TSCreate()
1318 .  Amat - (approximate) Jacobian matrix
1319 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1320 .  f   - the Jacobian evaluation routine
1321 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1322 
1323    Calling sequence of f:
1324 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1325 
1326 +  t    - time at step/stage being solved
1327 .  U    - state vector
1328 .  U_t  - time derivative of state vector
1329 .  a    - shift
1330 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1331 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1332 -  ctx  - [optional] user-defined context for matrix evaluation routine
1333 
1334    Notes:
1335    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1336 
1337    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1338    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1339 
1340    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1341    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1342    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1343    a and vector W depend on the integration method, step size, and past states. For example with
1344    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1345    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1346 
1347    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1348 
1349    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1350    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1351 
1352    Level: beginner
1353 
1354 .keywords: TS, timestep, DAE, Jacobian
1355 
1356 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1357 
1358 @*/
1359 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1360 {
1361   PetscErrorCode ierr;
1362   SNES           snes;
1363   DM             dm;
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1367   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1368   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1369   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1370   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1371 
1372   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1373   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1374 
1375   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1376   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #undef __FUNCT__
1381 #define __FUNCT__ "TSRHSJacobianSetReuse"
1382 /*@
1383    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1384    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1385    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1386    not been changed by the TS.
1387 
1388    Logically Collective
1389 
1390    Input Arguments:
1391 +  ts - TS context obtained from TSCreate()
1392 -  reuse - PETSC_TRUE if the RHS Jacobian
1393 
1394    Level: intermediate
1395 
1396 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1397 @*/
1398 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1399 {
1400   PetscFunctionBegin;
1401   ts->rhsjacobian.reuse = reuse;
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "TSSetI2Function"
1407 /*@C
1408    TSSetI2Function - Set the function to compute F(t,U,U_t,U_tt) where F = 0 is the DAE to be solved.
1409 
1410    Logically Collective on TS
1411 
1412    Input Parameters:
1413 +  ts  - the TS context obtained from TSCreate()
1414 .  F   - vector to hold the residual (or NULL to have it created internally)
1415 .  fun - the function evaluation routine
1416 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1417 
1418    Calling sequence of fun:
1419 $  fun(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,Vec F,ctx);
1420 
1421 +  t    - time at step/stage being solved
1422 .  U    - state vector
1423 .  U_t  - time derivative of state vector
1424 .  U_tt - second time derivative of state vector
1425 .  F    - function vector
1426 -  ctx  - [optional] user-defined context for matrix evaluation routine (may be NULL)
1427 
1428    Level: beginner
1429 
1430 .keywords: TS, timestep, set, ODE, DAE, Function
1431 
1432 .seealso: TSSetI2Jacobian()
1433 @*/
1434 PetscErrorCode TSSetI2Function(TS ts,Vec F,TSI2Function fun,void *ctx)
1435 {
1436   DM             dm;
1437   PetscErrorCode ierr;
1438 
1439   PetscFunctionBegin;
1440   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1441   if (F) PetscValidHeaderSpecific(F,VEC_CLASSID,2);
1442   ierr = TSSetIFunction(ts,F,NULL,NULL);CHKERRQ(ierr);
1443   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1444   ierr = DMTSSetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1445   PetscFunctionReturn(0);
1446 }
1447 
1448 #undef __FUNCT__
1449 #define __FUNCT__ "TSGetI2Function"
1450 /*@C
1451   TSGetI2Function - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1452 
1453   Not Collective
1454 
1455   Input Parameter:
1456 . ts - the TS context
1457 
1458   Output Parameter:
1459 + r - vector to hold residual (or NULL)
1460 . fun - the function to compute residual (or NULL)
1461 - ctx - the function context (or NULL)
1462 
1463   Level: advanced
1464 
1465 .keywords: TS, nonlinear, get, function
1466 
1467 .seealso: TSSetI2Function(), SNESGetFunction()
1468 @*/
1469 PetscErrorCode TSGetI2Function(TS ts,Vec *r,TSI2Function *fun,void **ctx)
1470 {
1471   PetscErrorCode ierr;
1472   SNES           snes;
1473   DM             dm;
1474 
1475   PetscFunctionBegin;
1476   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1477   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1478   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1479   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1480   ierr = DMTSGetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1481   PetscFunctionReturn(0);
1482 }
1483 
1484 #undef __FUNCT__
1485 #define __FUNCT__ "TSSetI2Jacobian"
1486 /*@C
1487    TSSetI2Jacobian - Set the function to compute the matrix dF/dU + v*dF/dU_t  + a*dF/dU_tt
1488         where F(t,U,U_t,U_tt) is the function you provided with TSSetI2Function().
1489 
1490    Logically Collective on TS
1491 
1492    Input Parameters:
1493 +  ts  - the TS context obtained from TSCreate()
1494 .  J   - Jacobian matrix
1495 .  P   - preconditioning matrix for J (may be same as J)
1496 .  jac - the Jacobian evaluation routine
1497 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1498 
1499    Calling sequence of jac:
1500 $  jac(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,PetscReal v,PetscReal a,Mat J,Mat P,void *ctx);
1501 
1502 +  t    - time at step/stage being solved
1503 .  U    - state vector
1504 .  U_t  - time derivative of state vector
1505 .  U_tt - second time derivative of state vector
1506 .  v    - shift for U_t
1507 .  a    - shift for U_tt
1508 .  J    - Jacobian of G(U) = F(t,U,W+v*U,W'+a*U), equivalent to dF/dU + v*dF/dU_t  + a*dF/dU_tt
1509 .  P    - preconditioning matrix for J, may be same as J
1510 -  ctx  - [optional] user-defined context for matrix evaluation routine
1511 
1512    Notes:
1513    The matrices J and P are exactly the matrices that are used by SNES for the nonlinear solve.
1514 
1515    The matrix dF/dU + v*dF/dU_t + a*dF/dU_tt you provide turns out to be
1516    the Jacobian of G(U) = F(t,U,W+v*U,W'+a*U) where F(t,U,U_t,U_tt) = 0 is the DAE to be solved.
1517    The time integrator internally approximates U_t by W+v*U and U_tt by W'+a*U  where the positive "shift"
1518    parameters 'v' and 'a' and vectors W, W' depend on the integration method, step size, and past states.
1519 
1520    Level: beginner
1521 
1522 .keywords: TS, timestep, set, ODE, DAE, Jacobian
1523 
1524 .seealso: TSSetI2Function()
1525 @*/
1526 PetscErrorCode TSSetI2Jacobian(TS ts,Mat J,Mat P,TSI2Jacobian jac,void *ctx)
1527 {
1528   DM             dm;
1529   PetscErrorCode ierr;
1530 
1531   PetscFunctionBegin;
1532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1533   if (J) PetscValidHeaderSpecific(J,MAT_CLASSID,2);
1534   if (P) PetscValidHeaderSpecific(P,MAT_CLASSID,3);
1535   ierr = TSSetIJacobian(ts,J,P,NULL,NULL);CHKERRQ(ierr);
1536   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1537   ierr = DMTSSetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1538   PetscFunctionReturn(0);
1539 }
1540 
1541 #undef __FUNCT__
1542 #define __FUNCT__ "TSGetI2Jacobian"
1543 /*@C
1544   TSGetI2Jacobian - Returns the implicit Jacobian at the present timestep.
1545 
1546   Not Collective, but parallel objects are returned if TS is parallel
1547 
1548   Input Parameter:
1549 . ts  - The TS context obtained from TSCreate()
1550 
1551   Output Parameters:
1552 + J  - The (approximate) Jacobian of F(t,U,U_t,U_tt)
1553 . P - The matrix from which the preconditioner is constructed, often the same as J
1554 . jac - The function to compute the Jacobian matrices
1555 - ctx - User-defined context for Jacobian evaluation routine
1556 
1557   Notes: You can pass in NULL for any return argument you do not need.
1558 
1559   Level: advanced
1560 
1561 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
1562 
1563 .keywords: TS, timestep, get, matrix, Jacobian
1564 @*/
1565 PetscErrorCode  TSGetI2Jacobian(TS ts,Mat *J,Mat *P,TSI2Jacobian *jac,void **ctx)
1566 {
1567   PetscErrorCode ierr;
1568   SNES           snes;
1569   DM             dm;
1570 
1571   PetscFunctionBegin;
1572   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1573   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
1574   ierr = SNESGetJacobian(snes,J,P,NULL,NULL);CHKERRQ(ierr);
1575   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1576   ierr = DMTSGetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1577   PetscFunctionReturn(0);
1578 }
1579 
1580 #undef __FUNCT__
1581 #define __FUNCT__ "TSComputeI2Function"
1582 /*@
1583   TSComputeI2Function - Evaluates the DAE residual written in implicit form F(t,U,U_t,U_tt) = 0
1584 
1585   Collective on TS and Vec
1586 
1587   Input Parameters:
1588 + ts - the TS context
1589 . t - current time
1590 . U - state vector
1591 . V - time derivative of state vector (U_t)
1592 - A - second time derivative of state vector (U_tt)
1593 
1594   Output Parameter:
1595 . F - the residual vector
1596 
1597   Note:
1598   Most users should not need to explicitly call this routine, as it
1599   is used internally within the nonlinear solvers.
1600 
1601   Level: developer
1602 
1603 .keywords: TS, compute, function, vector
1604 
1605 .seealso: TSSetI2Function()
1606 @*/
1607 PetscErrorCode TSComputeI2Function(TS ts,PetscReal t,Vec U,Vec V,Vec A,Vec F)
1608 {
1609   DM             dm;
1610   TSI2Function   I2Function;
1611   void           *ctx;
1612   TSRHSFunction  rhsfunction;
1613   PetscErrorCode ierr;
1614 
1615   PetscFunctionBegin;
1616   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1617   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1618   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1619   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1620   PetscValidHeaderSpecific(F,VEC_CLASSID,6);
1621 
1622   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1623   ierr = DMTSGetI2Function(dm,&I2Function,&ctx);CHKERRQ(ierr);
1624   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
1625 
1626   if (!I2Function) {
1627     ierr = TSComputeIFunction(ts,t,U,A,F,PETSC_FALSE);CHKERRQ(ierr);
1628     PetscFunctionReturn(0);
1629   }
1630 
1631   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1632 
1633   PetscStackPush("TS user implicit function");
1634   ierr = I2Function(ts,t,U,V,A,F,ctx);CHKERRQ(ierr);
1635   PetscStackPop;
1636 
1637   if (rhsfunction) {
1638     Vec Frhs;
1639     ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
1640     ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
1641     ierr = VecAXPY(F,-1,Frhs);CHKERRQ(ierr);
1642   }
1643 
1644   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1645   PetscFunctionReturn(0);
1646 }
1647 
1648 #undef __FUNCT__
1649 #define __FUNCT__ "TSComputeI2Jacobian"
1650 /*@
1651   TSComputeI2Jacobian - Evaluates the Jacobian of the DAE
1652 
1653   Collective on TS and Vec
1654 
1655   Input Parameters:
1656 + ts - the TS context
1657 . t - current timestep
1658 . U - state vector
1659 . V - time derivative of state vector
1660 . A - second time derivative of state vector
1661 . shiftV - shift to apply, see note below
1662 - shiftA - shift to apply, see note below
1663 
1664   Output Parameters:
1665 + J - Jacobian matrix
1666 - P - optional preconditioning matrix
1667 
1668   Notes:
1669   If F(t,U,V,A)=0 is the DAE, the required Jacobian is
1670 
1671   dF/dU + shiftV*dF/dV + shiftA*dF/dA
1672 
1673   Most users should not need to explicitly call this routine, as it
1674   is used internally within the nonlinear solvers.
1675 
1676   Level: developer
1677 
1678 .keywords: TS, compute, Jacobian, matrix
1679 
1680 .seealso:  TSSetI2Jacobian()
1681 @*/
1682 PetscErrorCode TSComputeI2Jacobian(TS ts,PetscReal t,Vec U,Vec V,Vec A,PetscReal shiftV,PetscReal shiftA,Mat J,Mat P)
1683 {
1684   DM             dm;
1685   TSI2Jacobian   I2Jacobian;
1686   void           *ctx;
1687   TSRHSJacobian  rhsjacobian;
1688   PetscErrorCode ierr;
1689 
1690   PetscFunctionBegin;
1691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1692   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1693   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1694   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1695   PetscValidHeaderSpecific(J,MAT_CLASSID,8);
1696   PetscValidHeaderSpecific(P,MAT_CLASSID,9);
1697 
1698   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1699   ierr = DMTSGetI2Jacobian(dm,&I2Jacobian,&ctx);CHKERRQ(ierr);
1700   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
1701 
1702   if (!I2Jacobian) {
1703     ierr = TSComputeIJacobian(ts,t,U,A,shiftA,J,P,PETSC_FALSE);CHKERRQ(ierr);
1704     PetscFunctionReturn(0);
1705   }
1706 
1707   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1708 
1709   PetscStackPush("TS user implicit Jacobian");
1710   ierr = I2Jacobian(ts,t,U,V,A,shiftV,shiftA,J,P,ctx);CHKERRQ(ierr);
1711   PetscStackPop;
1712 
1713   if (rhsjacobian) {
1714     Mat Jrhs,Prhs; MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
1715     ierr = TSGetRHSMats_Private(ts,&Jrhs,&Prhs);CHKERRQ(ierr);
1716     ierr = TSComputeRHSJacobian(ts,t,U,Jrhs,Prhs);CHKERRQ(ierr);
1717     ierr = MatAXPY(J,-1,Jrhs,axpy);CHKERRQ(ierr);
1718     if (P != J) {ierr = MatAXPY(P,-1,Prhs,axpy);CHKERRQ(ierr);}
1719   }
1720 
1721   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1722   PetscFunctionReturn(0);
1723 }
1724 
1725 #undef __FUNCT__
1726 #define __FUNCT__ "TS2SetSolution"
1727 /*@
1728    TS2SetSolution - Sets the initial solution and time derivative vectors
1729    for use by the TS routines handling second order equations.
1730 
1731    Logically Collective on TS and Vec
1732 
1733    Input Parameters:
1734 +  ts - the TS context obtained from TSCreate()
1735 .  u - the solution vector
1736 -  v - the time derivative vector
1737 
1738    Level: beginner
1739 
1740 .keywords: TS, timestep, set, solution, initial conditions
1741 @*/
1742 PetscErrorCode  TS2SetSolution(TS ts,Vec u,Vec v)
1743 {
1744   PetscErrorCode ierr;
1745 
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1748   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
1749   PetscValidHeaderSpecific(v,VEC_CLASSID,3);
1750   ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
1751   ierr = PetscObjectReference((PetscObject)v);CHKERRQ(ierr);
1752   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
1753   ts->vec_dot = v;
1754   PetscFunctionReturn(0);
1755 }
1756 
1757 #undef __FUNCT__
1758 #define __FUNCT__ "TS2GetSolution"
1759 /*@
1760    TS2GetSolution - Returns the solution and time derivative at the present timestep
1761    for second order equations. It is valid to call this routine inside the function
1762    that you are evaluating in order to move to the new timestep. This vector not
1763    changed until the solution at the next timestep has been calculated.
1764 
1765    Not Collective, but Vec returned is parallel if TS is parallel
1766 
1767    Input Parameter:
1768 .  ts - the TS context obtained from TSCreate()
1769 
1770    Output Parameter:
1771 +  u - the vector containing the solution
1772 -  v - the vector containing the time derivative
1773 
1774    Level: intermediate
1775 
1776 .seealso: TS2SetSolution(), TSGetTimeStep(), TSGetTime()
1777 
1778 .keywords: TS, timestep, get, solution
1779 @*/
1780 PetscErrorCode  TS2GetSolution(TS ts,Vec *u,Vec *v)
1781 {
1782   PetscFunctionBegin;
1783   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1784   if (u) PetscValidPointer(u,2);
1785   if (v) PetscValidPointer(v,3);
1786   if (u) *u = ts->vec_sol;
1787   if (v) *v = ts->vec_dot;
1788   PetscFunctionReturn(0);
1789 }
1790 
1791 #undef __FUNCT__
1792 #define __FUNCT__ "TSLoad"
1793 /*@C
1794   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1795 
1796   Collective on PetscViewer
1797 
1798   Input Parameters:
1799 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1800            some related function before a call to TSLoad().
1801 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1802 
1803    Level: intermediate
1804 
1805   Notes:
1806    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1807 
1808   Notes for advanced users:
1809   Most users should not need to know the details of the binary storage
1810   format, since TSLoad() and TSView() completely hide these details.
1811   But for anyone who's interested, the standard binary matrix storage
1812   format is
1813 .vb
1814      has not yet been determined
1815 .ve
1816 
1817 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1818 @*/
1819 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1820 {
1821   PetscErrorCode ierr;
1822   PetscBool      isbinary;
1823   PetscInt       classid;
1824   char           type[256];
1825   DMTS           sdm;
1826   DM             dm;
1827 
1828   PetscFunctionBegin;
1829   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1830   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1831   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1832   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1833 
1834   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1835   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1836   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1837   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1838   if (ts->ops->load) {
1839     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1840   }
1841   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1842   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1843   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1844   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1845   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1846   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1847   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1848   PetscFunctionReturn(0);
1849 }
1850 
1851 #include <petscdraw.h>
1852 #if defined(PETSC_HAVE_SAWS)
1853 #include <petscviewersaws.h>
1854 #endif
1855 #undef __FUNCT__
1856 #define __FUNCT__ "TSView"
1857 /*@C
1858     TSView - Prints the TS data structure.
1859 
1860     Collective on TS
1861 
1862     Input Parameters:
1863 +   ts - the TS context obtained from TSCreate()
1864 -   viewer - visualization context
1865 
1866     Options Database Key:
1867 .   -ts_view - calls TSView() at end of TSStep()
1868 
1869     Notes:
1870     The available visualization contexts include
1871 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1872 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1873          output where only the first processor opens
1874          the file.  All other processors send their
1875          data to the first processor to print.
1876 
1877     The user can open an alternative visualization context with
1878     PetscViewerASCIIOpen() - output to a specified file.
1879 
1880     Level: beginner
1881 
1882 .keywords: TS, timestep, view
1883 
1884 .seealso: PetscViewerASCIIOpen()
1885 @*/
1886 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1887 {
1888   PetscErrorCode ierr;
1889   TSType         type;
1890   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1891   DMTS           sdm;
1892 #if defined(PETSC_HAVE_SAWS)
1893   PetscBool      issaws;
1894 #endif
1895 
1896   PetscFunctionBegin;
1897   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1898   if (!viewer) {
1899     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1900   }
1901   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1902   PetscCheckSameComm(ts,1,viewer,2);
1903 
1904   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1905   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1906   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1907   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1908 #if defined(PETSC_HAVE_SAWS)
1909   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1910 #endif
1911   if (iascii) {
1912     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1913     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1914     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1915     if (ts->problem_type == TS_NONLINEAR) {
1916       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1917       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1918     }
1919     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1920     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1921     if (ts->vrtol) {
1922       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of relative error tolerances, ");CHKERRQ(ierr);
1923     } else {
1924       ierr = PetscViewerASCIIPrintf(viewer,"  using relative error tolerance of %g, ",(double)ts->rtol);CHKERRQ(ierr);
1925     }
1926     if (ts->vatol) {
1927       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of absolute error tolerances\n");CHKERRQ(ierr);
1928     } else {
1929       ierr = PetscViewerASCIIPrintf(viewer,"  using absolute error tolerance of %g\n",(double)ts->atol);CHKERRQ(ierr);
1930     }
1931     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1932     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1933     if (ts->ops->view) {
1934       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1935       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1936       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1937     }
1938   } else if (isstring) {
1939     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1940     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1941   } else if (isbinary) {
1942     PetscInt    classid = TS_FILE_CLASSID;
1943     MPI_Comm    comm;
1944     PetscMPIInt rank;
1945     char        type[256];
1946 
1947     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1948     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1949     if (!rank) {
1950       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1951       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1952       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1953     }
1954     if (ts->ops->view) {
1955       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1956     }
1957     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1958     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1959     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1960     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1961   } else if (isdraw) {
1962     PetscDraw draw;
1963     char      str[36];
1964     PetscReal x,y,bottom,h;
1965 
1966     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1967     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1968     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1969     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1970     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1971     bottom = y - h;
1972     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1973     if (ts->ops->view) {
1974       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1975     }
1976     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1977 #if defined(PETSC_HAVE_SAWS)
1978   } else if (issaws) {
1979     PetscMPIInt rank;
1980     const char  *name;
1981 
1982     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1983     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1984     if (!((PetscObject)ts)->amsmem && !rank) {
1985       char       dir[1024];
1986 
1987       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1988       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1989       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1990       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1991       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1992     }
1993     if (ts->ops->view) {
1994       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1995     }
1996 #endif
1997   }
1998 
1999   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
2000   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
2001   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
2002   PetscFunctionReturn(0);
2003 }
2004 
2005 
2006 #undef __FUNCT__
2007 #define __FUNCT__ "TSSetApplicationContext"
2008 /*@
2009    TSSetApplicationContext - Sets an optional user-defined context for
2010    the timesteppers.
2011 
2012    Logically Collective on TS
2013 
2014    Input Parameters:
2015 +  ts - the TS context obtained from TSCreate()
2016 -  usrP - optional user context
2017 
2018    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2019     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2020 
2021    Level: intermediate
2022 
2023 .keywords: TS, timestep, set, application, context
2024 
2025 .seealso: TSGetApplicationContext()
2026 @*/
2027 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
2028 {
2029   PetscFunctionBegin;
2030   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2031   ts->user = usrP;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "TSGetApplicationContext"
2037 /*@
2038     TSGetApplicationContext - Gets the user-defined context for the
2039     timestepper.
2040 
2041     Not Collective
2042 
2043     Input Parameter:
2044 .   ts - the TS context obtained from TSCreate()
2045 
2046     Output Parameter:
2047 .   usrP - user context
2048 
2049    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2050     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2051 
2052     Level: intermediate
2053 
2054 .keywords: TS, timestep, get, application, context
2055 
2056 .seealso: TSSetApplicationContext()
2057 @*/
2058 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
2059 {
2060   PetscFunctionBegin;
2061   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2062   *(void**)usrP = ts->user;
2063   PetscFunctionReturn(0);
2064 }
2065 
2066 #undef __FUNCT__
2067 #define __FUNCT__ "TSGetTimeStepNumber"
2068 /*@
2069    TSGetTimeStepNumber - Gets the number of time steps completed.
2070 
2071    Not Collective
2072 
2073    Input Parameter:
2074 .  ts - the TS context obtained from TSCreate()
2075 
2076    Output Parameter:
2077 .  iter - number of steps completed so far
2078 
2079    Level: intermediate
2080 
2081 .keywords: TS, timestep, get, iteration, number
2082 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
2083 @*/
2084 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
2085 {
2086   PetscFunctionBegin;
2087   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2088   PetscValidIntPointer(iter,2);
2089   *iter = ts->steps;
2090   PetscFunctionReturn(0);
2091 }
2092 
2093 #undef __FUNCT__
2094 #define __FUNCT__ "TSSetInitialTimeStep"
2095 /*@
2096    TSSetInitialTimeStep - Sets the initial timestep to be used,
2097    as well as the initial time.
2098 
2099    Logically Collective on TS
2100 
2101    Input Parameters:
2102 +  ts - the TS context obtained from TSCreate()
2103 .  initial_time - the initial time
2104 -  time_step - the size of the timestep
2105 
2106    Level: intermediate
2107 
2108 .seealso: TSSetTimeStep(), TSGetTimeStep()
2109 
2110 .keywords: TS, set, initial, timestep
2111 @*/
2112 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
2113 {
2114   PetscErrorCode ierr;
2115 
2116   PetscFunctionBegin;
2117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2118   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
2119   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
2120   PetscFunctionReturn(0);
2121 }
2122 
2123 #undef __FUNCT__
2124 #define __FUNCT__ "TSSetTimeStep"
2125 /*@
2126    TSSetTimeStep - Allows one to reset the timestep at any time,
2127    useful for simple pseudo-timestepping codes.
2128 
2129    Logically Collective on TS
2130 
2131    Input Parameters:
2132 +  ts - the TS context obtained from TSCreate()
2133 -  time_step - the size of the timestep
2134 
2135    Level: intermediate
2136 
2137 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2138 
2139 .keywords: TS, set, timestep
2140 @*/
2141 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
2142 {
2143   PetscFunctionBegin;
2144   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2145   PetscValidLogicalCollectiveReal(ts,time_step,2);
2146   ts->time_step = time_step;
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "TSSetExactFinalTime"
2152 /*@
2153    TSSetExactFinalTime - Determines whether to adapt the final time step to
2154      match the exact final time, interpolate solution to the exact final time,
2155      or just return at the final time TS computed.
2156 
2157   Logically Collective on TS
2158 
2159    Input Parameter:
2160 +   ts - the time-step context
2161 -   eftopt - exact final time option
2162 
2163 $  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
2164 $  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
2165 $  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time
2166 
2167    Options Database:
2168 .   -ts_exact_final_time <stepover,interpolate,matchstep> - select the final step at runtime
2169 
2170    Warning: If you use the option TS_EXACTFINALTIME_STEPOVER the solution may be at a very different time
2171     then the final time you selected.
2172 
2173    Level: beginner
2174 
2175 .seealso: TSExactFinalTimeOption
2176 @*/
2177 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
2178 {
2179   PetscFunctionBegin;
2180   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2181   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
2182   ts->exact_final_time = eftopt;
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 #undef __FUNCT__
2187 #define __FUNCT__ "TSGetTimeStep"
2188 /*@
2189    TSGetTimeStep - Gets the current timestep size.
2190 
2191    Not Collective
2192 
2193    Input Parameter:
2194 .  ts - the TS context obtained from TSCreate()
2195 
2196    Output Parameter:
2197 .  dt - the current timestep size
2198 
2199    Level: intermediate
2200 
2201 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2202 
2203 .keywords: TS, get, timestep
2204 @*/
2205 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
2206 {
2207   PetscFunctionBegin;
2208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2209   PetscValidRealPointer(dt,2);
2210   *dt = ts->time_step;
2211   PetscFunctionReturn(0);
2212 }
2213 
2214 #undef __FUNCT__
2215 #define __FUNCT__ "TSGetSolution"
2216 /*@
2217    TSGetSolution - Returns the solution at the present timestep. It
2218    is valid to call this routine inside the function that you are evaluating
2219    in order to move to the new timestep. This vector not changed until
2220    the solution at the next timestep has been calculated.
2221 
2222    Not Collective, but Vec returned is parallel if TS is parallel
2223 
2224    Input Parameter:
2225 .  ts - the TS context obtained from TSCreate()
2226 
2227    Output Parameter:
2228 .  v - the vector containing the solution
2229 
2230    Note: If you used TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP); this does not return the solution at the requested
2231    final time. It returns the solution at the next timestep.
2232 
2233    Level: intermediate
2234 
2235 .seealso: TSGetTimeStep(), TSGetTime(), TSGetSolveTime(), TSGetSolutionComponents()
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__ "TSGetSolutionComponents"
2250 /*@
2251    TSGetSolutionComponents - Returns any solution components at the present
2252    timestep, if available for the time integration method being used.
2253    Solution components are quantities that share the same size and
2254    structure as the solution vector.
2255 
2256    Not Collective, but Vec returned is parallel if TS is parallel
2257 
2258    Parameters :
2259 .  ts - the TS context obtained from TSCreate() (input parameter).
2260 .  n - If v is PETSC_NULL, then the number of solution components is
2261        returned through n, else the n-th solution component is
2262        returned in v.
2263 .  v - the vector containing the n-th solution component
2264        (may be PETSC_NULL to use this function to find out
2265         the number of solutions components).
2266 
2267    Level: advanced
2268 
2269 .seealso: TSGetSolution()
2270 
2271 .keywords: TS, timestep, get, solution
2272 @*/
2273 PetscErrorCode  TSGetSolutionComponents(TS ts,PetscInt *n,Vec *v)
2274 {
2275   PetscErrorCode ierr;
2276 
2277   PetscFunctionBegin;
2278   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2279   if (!ts->ops->getsolutioncomponents) *n = 0;
2280   else {
2281     ierr = (*ts->ops->getsolutioncomponents)(ts,n,v);CHKERRQ(ierr);
2282   }
2283   PetscFunctionReturn(0);
2284 }
2285 
2286 #undef __FUNCT__
2287 #define __FUNCT__ "TSGetAuxSolution"
2288 /*@
2289    TSGetAuxSolution - Returns an auxiliary solution at the present
2290    timestep, if available for the time integration method being used.
2291 
2292    Not Collective, but Vec returned is parallel if TS is parallel
2293 
2294    Parameters :
2295 .  ts - the TS context obtained from TSCreate() (input parameter).
2296 .  v - the vector containing the auxiliary solution
2297 
2298    Level: intermediate
2299 
2300 .seealso: TSGetSolution()
2301 
2302 .keywords: TS, timestep, get, solution
2303 @*/
2304 PetscErrorCode  TSGetAuxSolution(TS ts,Vec *v)
2305 {
2306   PetscErrorCode ierr;
2307 
2308   PetscFunctionBegin;
2309   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2310   if (ts->ops->getauxsolution) {
2311     ierr = (*ts->ops->getauxsolution)(ts,v);CHKERRQ(ierr);
2312   } else {
2313     ierr = VecZeroEntries(*v); CHKERRQ(ierr);
2314   }
2315   PetscFunctionReturn(0);
2316 }
2317 
2318 #undef __FUNCT__
2319 #define __FUNCT__ "TSGetTimeError"
2320 /*@
2321    TSGetTimeError - Returns the estimated error vector, if the chosen
2322    TSType has an error estimation functionality.
2323 
2324    Not Collective, but Vec returned is parallel if TS is parallel
2325 
2326    Parameters :
2327 .  ts - the TS context obtained from TSCreate() (input parameter).
2328 .  v - the vector containing the error (same size as the solution).
2329 
2330    Level: intermediate
2331 
2332 .seealso: TSGetSolution(), TSSetTimeError()
2333 
2334 .keywords: TS, timestep, get, error
2335 @*/
2336 PetscErrorCode  TSGetTimeError(TS ts,Vec *v)
2337 {
2338   PetscErrorCode ierr;
2339 
2340   PetscFunctionBegin;
2341   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2342   if (ts->ops->gettimeerror) {
2343     ierr = (*ts->ops->gettimeerror)(ts,v);CHKERRQ(ierr);
2344   } else {
2345     ierr = VecZeroEntries(*v);CHKERRQ(ierr);
2346   }
2347   PetscFunctionReturn(0);
2348 }
2349 
2350 #undef __FUNCT__
2351 #define __FUNCT__ "TSSetTimeError"
2352 /*@
2353    TSSetTimeError - Sets the estimated error vector, if the chosen
2354    TSType has an error estimation functionality. This can be used
2355    to restart such a time integrator with a given error vector.
2356 
2357    Not Collective, but Vec returned is parallel if TS is parallel
2358 
2359    Parameters :
2360 .  ts - the TS context obtained from TSCreate() (input parameter).
2361 .  v - the vector containing the error (same size as the solution).
2362 
2363    Level: intermediate
2364 
2365 .seealso: TSSetSolution(), TSGetTimeError)
2366 
2367 .keywords: TS, timestep, get, error
2368 @*/
2369 PetscErrorCode  TSSetTimeError(TS ts,Vec v)
2370 {
2371   PetscErrorCode ierr;
2372 
2373   PetscFunctionBegin;
2374   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2375   if (ts->ops->settimeerror) {
2376     ierr = (*ts->ops->settimeerror)(ts,v);CHKERRQ(ierr);
2377   }
2378   PetscFunctionReturn(0);
2379 }
2380 
2381 #undef __FUNCT__
2382 #define __FUNCT__ "TSGetCostGradients"
2383 /*@
2384    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
2385 
2386    Not Collective, but Vec returned is parallel if TS is parallel
2387 
2388    Input Parameter:
2389 .  ts - the TS context obtained from TSCreate()
2390 
2391    Output Parameter:
2392 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
2393 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
2394 
2395    Level: intermediate
2396 
2397 .seealso: TSGetTimeStep()
2398 
2399 .keywords: TS, timestep, get, sensitivity
2400 @*/
2401 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
2402 {
2403   PetscFunctionBegin;
2404   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2405   if (numcost) *numcost = ts->numcost;
2406   if (lambda)  *lambda  = ts->vecs_sensi;
2407   if (mu)      *mu      = ts->vecs_sensip;
2408   PetscFunctionReturn(0);
2409 }
2410 
2411 /* ----- Routines to initialize and destroy a timestepper ---- */
2412 #undef __FUNCT__
2413 #define __FUNCT__ "TSSetProblemType"
2414 /*@
2415   TSSetProblemType - Sets the type of problem to be solved.
2416 
2417   Not collective
2418 
2419   Input Parameters:
2420 + ts   - The TS
2421 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2422 .vb
2423          U_t - A U = 0      (linear)
2424          U_t - A(t) U = 0   (linear)
2425          F(t,U,U_t) = 0     (nonlinear)
2426 .ve
2427 
2428    Level: beginner
2429 
2430 .keywords: TS, problem type
2431 .seealso: TSSetUp(), TSProblemType, TS
2432 @*/
2433 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
2434 {
2435   PetscErrorCode ierr;
2436 
2437   PetscFunctionBegin;
2438   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2439   ts->problem_type = type;
2440   if (type == TS_LINEAR) {
2441     SNES snes;
2442     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2443     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
2444   }
2445   PetscFunctionReturn(0);
2446 }
2447 
2448 #undef __FUNCT__
2449 #define __FUNCT__ "TSGetProblemType"
2450 /*@C
2451   TSGetProblemType - Gets the type of problem to be solved.
2452 
2453   Not collective
2454 
2455   Input Parameter:
2456 . ts   - The TS
2457 
2458   Output Parameter:
2459 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2460 .vb
2461          M U_t = A U
2462          M(t) U_t = A(t) U
2463          F(t,U,U_t)
2464 .ve
2465 
2466    Level: beginner
2467 
2468 .keywords: TS, problem type
2469 .seealso: TSSetUp(), TSProblemType, TS
2470 @*/
2471 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
2472 {
2473   PetscFunctionBegin;
2474   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2475   PetscValidIntPointer(type,2);
2476   *type = ts->problem_type;
2477   PetscFunctionReturn(0);
2478 }
2479 
2480 #undef __FUNCT__
2481 #define __FUNCT__ "TSSetUp"
2482 /*@
2483    TSSetUp - Sets up the internal data structures for the later use
2484    of a timestepper.
2485 
2486    Collective on TS
2487 
2488    Input Parameter:
2489 .  ts - the TS context obtained from TSCreate()
2490 
2491    Notes:
2492    For basic use of the TS solvers the user need not explicitly call
2493    TSSetUp(), since these actions will automatically occur during
2494    the call to TSStep().  However, if one wishes to control this
2495    phase separately, TSSetUp() should be called after TSCreate()
2496    and optional routines of the form TSSetXXX(), but before TSStep().
2497 
2498    Level: advanced
2499 
2500 .keywords: TS, timestep, setup
2501 
2502 .seealso: TSCreate(), TSStep(), TSDestroy()
2503 @*/
2504 PetscErrorCode  TSSetUp(TS ts)
2505 {
2506   PetscErrorCode ierr;
2507   DM             dm;
2508   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2509   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
2510   TSIFunction    ifun;
2511   TSIJacobian    ijac;
2512   TSI2Jacobian   i2jac;
2513   TSRHSJacobian  rhsjac;
2514 
2515   PetscFunctionBegin;
2516   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2517   if (ts->setupcalled) PetscFunctionReturn(0);
2518 
2519   ts->total_steps = 0;
2520   if (!((PetscObject)ts)->type_name) {
2521     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
2522     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
2523   }
2524 
2525   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2526 
2527   if (ts->rhsjacobian.reuse) {
2528     Mat Amat,Pmat;
2529     SNES snes;
2530     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2531     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2532     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2533      * have displaced the RHS matrix */
2534     if (Amat == ts->Arhs) {
2535       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2536       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2537       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2538     }
2539     if (Pmat == ts->Brhs) {
2540       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2541       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2542       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2543     }
2544   }
2545   if (ts->ops->setup) {
2546     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2547   }
2548 
2549   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2550      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2551    */
2552   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2553   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2554   if (!func) {
2555     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2556   }
2557   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2558      Otherwise, the SNES will use coloring internally to form the Jacobian.
2559    */
2560   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2561   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2562   ierr = DMTSGetI2Jacobian(dm,&i2jac,NULL);CHKERRQ(ierr);
2563   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2564   if (!jac && (ijac || i2jac || rhsjac)) {
2565     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2566   }
2567 
2568   /* if time integration scheme has a starting method, call it */
2569   if (ts->ops->startingmethod) {
2570     ierr = (*ts->ops->startingmethod)(ts);CHKERRQ(ierr);
2571   }
2572 
2573   ts->setupcalled = PETSC_TRUE;
2574   PetscFunctionReturn(0);
2575 }
2576 
2577 #undef __FUNCT__
2578 #define __FUNCT__ "TSAdjointSetUp"
2579 /*@
2580    TSAdjointSetUp - Sets up the internal data structures for the later use
2581    of an adjoint solver
2582 
2583    Collective on TS
2584 
2585    Input Parameter:
2586 .  ts - the TS context obtained from TSCreate()
2587 
2588    Level: advanced
2589 
2590 .keywords: TS, timestep, setup
2591 
2592 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2593 @*/
2594 PetscErrorCode  TSAdjointSetUp(TS ts)
2595 {
2596   PetscErrorCode ierr;
2597 
2598   PetscFunctionBegin;
2599   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2600   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2601   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2602 
2603   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2604     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2605     if (ts->vecs_sensip){
2606       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2607     }
2608   }
2609 
2610   if (ts->ops->adjointsetup) {
2611     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2612   }
2613   ts->adjointsetupcalled = PETSC_TRUE;
2614   PetscFunctionReturn(0);
2615 }
2616 
2617 #undef __FUNCT__
2618 #define __FUNCT__ "TSReset"
2619 /*@
2620    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2621 
2622    Collective on TS
2623 
2624    Input Parameter:
2625 .  ts - the TS context obtained from TSCreate()
2626 
2627    Level: beginner
2628 
2629 .keywords: TS, timestep, reset
2630 
2631 .seealso: TSCreate(), TSSetup(), TSDestroy()
2632 @*/
2633 PetscErrorCode  TSReset(TS ts)
2634 {
2635   PetscErrorCode ierr;
2636 
2637   PetscFunctionBegin;
2638   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2639 
2640   if (ts->ops->reset) {
2641     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2642   }
2643   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2644   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2645 
2646   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2647   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2648   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2649   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2650   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
2651   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2652   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2653   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2654 
2655  if (ts->vec_costintegral) {
2656     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2657     if (ts->vecs_drdp){
2658       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2659     }
2660   }
2661   ts->vecs_sensi  = NULL;
2662   ts->vecs_sensip = NULL;
2663   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2664   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2665   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2666   ts->setupcalled = PETSC_FALSE;
2667   PetscFunctionReturn(0);
2668 }
2669 
2670 #undef __FUNCT__
2671 #define __FUNCT__ "TSDestroy"
2672 /*@
2673    TSDestroy - Destroys the timestepper context that was created
2674    with TSCreate().
2675 
2676    Collective on TS
2677 
2678    Input Parameter:
2679 .  ts - the TS context obtained from TSCreate()
2680 
2681    Level: beginner
2682 
2683 .keywords: TS, timestepper, destroy
2684 
2685 .seealso: TSCreate(), TSSetUp(), TSSolve()
2686 @*/
2687 PetscErrorCode  TSDestroy(TS *ts)
2688 {
2689   PetscErrorCode ierr;
2690 
2691   PetscFunctionBegin;
2692   if (!*ts) PetscFunctionReturn(0);
2693   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2694   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2695 
2696   ierr = TSReset((*ts));CHKERRQ(ierr);
2697 
2698   /* if memory was published with SAWs then destroy it */
2699   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2700   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2701 
2702   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2703 
2704   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2705   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2706 
2707   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2708   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2709   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2710   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2711 
2712   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2713   PetscFunctionReturn(0);
2714 }
2715 
2716 #undef __FUNCT__
2717 #define __FUNCT__ "TSGetSNES"
2718 /*@
2719    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2720    a TS (timestepper) context. Valid only for nonlinear problems.
2721 
2722    Not Collective, but SNES is parallel if TS is parallel
2723 
2724    Input Parameter:
2725 .  ts - the TS context obtained from TSCreate()
2726 
2727    Output Parameter:
2728 .  snes - the nonlinear solver context
2729 
2730    Notes:
2731    The user can then directly manipulate the SNES context to set various
2732    options, etc.  Likewise, the user can then extract and manipulate the
2733    KSP, KSP, and PC contexts as well.
2734 
2735    TSGetSNES() does not work for integrators that do not use SNES; in
2736    this case TSGetSNES() returns NULL in snes.
2737 
2738    Level: beginner
2739 
2740 .keywords: timestep, get, SNES
2741 @*/
2742 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2743 {
2744   PetscErrorCode ierr;
2745 
2746   PetscFunctionBegin;
2747   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2748   PetscValidPointer(snes,2);
2749   if (!ts->snes) {
2750     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2751     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2752     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2753     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2754     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2755     if (ts->problem_type == TS_LINEAR) {
2756       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2757     }
2758   }
2759   *snes = ts->snes;
2760   PetscFunctionReturn(0);
2761 }
2762 
2763 #undef __FUNCT__
2764 #define __FUNCT__ "TSSetSNES"
2765 /*@
2766    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2767 
2768    Collective
2769 
2770    Input Parameter:
2771 +  ts - the TS context obtained from TSCreate()
2772 -  snes - the nonlinear solver context
2773 
2774    Notes:
2775    Most users should have the TS created by calling TSGetSNES()
2776 
2777    Level: developer
2778 
2779 .keywords: timestep, set, SNES
2780 @*/
2781 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2782 {
2783   PetscErrorCode ierr;
2784   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2785 
2786   PetscFunctionBegin;
2787   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2788   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2789   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2790   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2791 
2792   ts->snes = snes;
2793 
2794   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2795   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2796   if (func == SNESTSFormJacobian) {
2797     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2798   }
2799   PetscFunctionReturn(0);
2800 }
2801 
2802 #undef __FUNCT__
2803 #define __FUNCT__ "TSGetKSP"
2804 /*@
2805    TSGetKSP - Returns the KSP (linear solver) associated with
2806    a TS (timestepper) context.
2807 
2808    Not Collective, but KSP is parallel if TS is parallel
2809 
2810    Input Parameter:
2811 .  ts - the TS context obtained from TSCreate()
2812 
2813    Output Parameter:
2814 .  ksp - the nonlinear solver context
2815 
2816    Notes:
2817    The user can then directly manipulate the KSP context to set various
2818    options, etc.  Likewise, the user can then extract and manipulate the
2819    KSP and PC contexts as well.
2820 
2821    TSGetKSP() does not work for integrators that do not use KSP;
2822    in this case TSGetKSP() returns NULL in ksp.
2823 
2824    Level: beginner
2825 
2826 .keywords: timestep, get, KSP
2827 @*/
2828 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2829 {
2830   PetscErrorCode ierr;
2831   SNES           snes;
2832 
2833   PetscFunctionBegin;
2834   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2835   PetscValidPointer(ksp,2);
2836   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2837   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2838   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2839   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2840   PetscFunctionReturn(0);
2841 }
2842 
2843 /* ----------- Routines to set solver parameters ---------- */
2844 
2845 #undef __FUNCT__
2846 #define __FUNCT__ "TSGetDuration"
2847 /*@
2848    TSGetDuration - Gets the maximum number of timesteps to use and
2849    maximum time for iteration.
2850 
2851    Not Collective
2852 
2853    Input Parameters:
2854 +  ts       - the TS context obtained from TSCreate()
2855 .  maxsteps - maximum number of iterations to use, or NULL
2856 -  maxtime  - final time to iterate to, or NULL
2857 
2858    Level: intermediate
2859 
2860 .keywords: TS, timestep, get, maximum, iterations, time
2861 @*/
2862 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2863 {
2864   PetscFunctionBegin;
2865   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2866   if (maxsteps) {
2867     PetscValidIntPointer(maxsteps,2);
2868     *maxsteps = ts->max_steps;
2869   }
2870   if (maxtime) {
2871     PetscValidScalarPointer(maxtime,3);
2872     *maxtime = ts->max_time;
2873   }
2874   PetscFunctionReturn(0);
2875 }
2876 
2877 #undef __FUNCT__
2878 #define __FUNCT__ "TSSetDuration"
2879 /*@
2880    TSSetDuration - Sets the maximum number of timesteps to use and
2881    maximum time for iteration.
2882 
2883    Logically Collective on TS
2884 
2885    Input Parameters:
2886 +  ts - the TS context obtained from TSCreate()
2887 .  maxsteps - maximum number of iterations to use
2888 -  maxtime - final time to iterate to
2889 
2890    Options Database Keys:
2891 .  -ts_max_steps <maxsteps> - Sets maxsteps
2892 .  -ts_final_time <maxtime> - Sets maxtime
2893 
2894    Notes:
2895    The default maximum number of iterations is 5000. Default time is 5.0
2896 
2897    Level: intermediate
2898 
2899 .keywords: TS, timestep, set, maximum, iterations
2900 
2901 .seealso: TSSetExactFinalTime()
2902 @*/
2903 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2904 {
2905   PetscFunctionBegin;
2906   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2907   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2908   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2909   if (maxsteps >= 0) ts->max_steps = maxsteps;
2910   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2911   PetscFunctionReturn(0);
2912 }
2913 
2914 #undef __FUNCT__
2915 #define __FUNCT__ "TSSetSolution"
2916 /*@
2917    TSSetSolution - Sets the initial solution vector
2918    for use by the TS routines.
2919 
2920    Logically Collective on TS and Vec
2921 
2922    Input Parameters:
2923 +  ts - the TS context obtained from TSCreate()
2924 -  u - the solution vector
2925 
2926    Level: beginner
2927 
2928 .keywords: TS, timestep, set, solution, initial conditions
2929 @*/
2930 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2931 {
2932   PetscErrorCode ierr;
2933   DM             dm;
2934 
2935   PetscFunctionBegin;
2936   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2937   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2938   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2939   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2940   ts->vec_sol = u;
2941 
2942   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2943   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2944   PetscFunctionReturn(0);
2945 }
2946 
2947 #undef __FUNCT__
2948 #define __FUNCT__ "TSAdjointSetSteps"
2949 /*@
2950    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2951 
2952    Logically Collective on TS
2953 
2954    Input Parameters:
2955 +  ts - the TS context obtained from TSCreate()
2956 .  steps - number of steps to use
2957 
2958    Level: intermediate
2959 
2960    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2961           so as to integrate back to less than the original timestep
2962 
2963 .keywords: TS, timestep, set, maximum, iterations
2964 
2965 .seealso: TSSetExactFinalTime()
2966 @*/
2967 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2968 {
2969   PetscFunctionBegin;
2970   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2971   PetscValidLogicalCollectiveInt(ts,steps,2);
2972   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2973   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2974   ts->adjoint_max_steps = steps;
2975   PetscFunctionReturn(0);
2976 }
2977 
2978 #undef __FUNCT__
2979 #define __FUNCT__ "TSSetCostGradients"
2980 /*@
2981    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2982       for use by the TSAdjoint routines.
2983 
2984    Logically Collective on TS and Vec
2985 
2986    Input Parameters:
2987 +  ts - the TS context obtained from TSCreate()
2988 .  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
2989 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2990 
2991    Level: beginner
2992 
2993    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2994 
2995 .keywords: TS, timestep, set, sensitivity, initial conditions
2996 @*/
2997 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2998 {
2999   PetscFunctionBegin;
3000   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3001   PetscValidPointer(lambda,2);
3002   ts->vecs_sensi  = lambda;
3003   ts->vecs_sensip = mu;
3004   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");
3005   ts->numcost  = numcost;
3006   PetscFunctionReturn(0);
3007 }
3008 
3009 #undef __FUNCT__
3010 #define __FUNCT__ "TSAdjointSetRHSJacobian"
3011 /*@C
3012   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.
3013 
3014   Logically Collective on TS
3015 
3016   Input Parameters:
3017 + ts   - The TS context obtained from TSCreate()
3018 - func - The function
3019 
3020   Calling sequence of func:
3021 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
3022 +   t - current timestep
3023 .   y - input vector (current ODE solution)
3024 .   A - output matrix
3025 -   ctx - [optional] user-defined function context
3026 
3027   Level: intermediate
3028 
3029   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
3030 
3031 .keywords: TS, sensitivity
3032 .seealso:
3033 @*/
3034 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
3035 {
3036   PetscErrorCode ierr;
3037 
3038   PetscFunctionBegin;
3039   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3040   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
3041 
3042   ts->rhsjacobianp    = func;
3043   ts->rhsjacobianpctx = ctx;
3044   if(Amat) {
3045     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
3046     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
3047     ts->Jacp = Amat;
3048   }
3049   PetscFunctionReturn(0);
3050 }
3051 
3052 #undef __FUNCT__
3053 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
3054 /*@C
3055   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
3056 
3057   Collective on TS
3058 
3059   Input Parameters:
3060 . ts   - The TS context obtained from TSCreate()
3061 
3062   Level: developer
3063 
3064 .keywords: TS, sensitivity
3065 .seealso: TSAdjointSetRHSJacobian()
3066 @*/
3067 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
3068 {
3069   PetscErrorCode ierr;
3070 
3071   PetscFunctionBegin;
3072   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3073   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
3074   PetscValidPointer(Amat,4);
3075 
3076   PetscStackPush("TS user JacobianP function for sensitivity analysis");
3077   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
3078   PetscStackPop;
3079   PetscFunctionReturn(0);
3080 }
3081 
3082 #undef __FUNCT__
3083 #define __FUNCT__ "TSSetCostIntegrand"
3084 /*@C
3085     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
3086 
3087     Logically Collective on TS
3088 
3089     Input Parameters:
3090 +   ts - the TS context obtained from TSCreate()
3091 .   numcost - number of gradients to be computed, this is the number of cost functions
3092 .   rf - routine for evaluating the integrand function
3093 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
3094 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
3095 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
3096 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
3097 
3098     Calling sequence of rf:
3099 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
3100 
3101 +   t - current timestep
3102 .   y - input vector
3103 .   f - function result; one vector entry for each cost function
3104 -   ctx - [optional] user-defined function context
3105 
3106    Calling sequence of drdyf:
3107 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
3108 
3109    Calling sequence of drdpf:
3110 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
3111 
3112     Level: intermediate
3113 
3114     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
3115 
3116 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
3117 
3118 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
3119 @*/
3120 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
3121                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
3122                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
3123                                                           PetscBool fwd,void *ctx)
3124 {
3125   PetscErrorCode ierr;
3126 
3127   PetscFunctionBegin;
3128   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3129   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()");
3130   if (!ts->numcost) ts->numcost=numcost;
3131 
3132   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
3133   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
3134   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
3135   ts->costintegrand    = rf;
3136   ts->costintegrandctx = ctx;
3137   ts->drdyfunction     = drdyf;
3138   ts->drdpfunction     = drdpf;
3139   PetscFunctionReturn(0);
3140 }
3141 
3142 #undef __FUNCT__
3143 #define __FUNCT__ "TSGetCostIntegral"
3144 /*@
3145    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
3146    It is valid to call the routine after a backward run.
3147 
3148    Not Collective
3149 
3150    Input Parameter:
3151 .  ts - the TS context obtained from TSCreate()
3152 
3153    Output Parameter:
3154 .  v - the vector containing the integrals for each cost function
3155 
3156    Level: intermediate
3157 
3158 .seealso: TSSetCostIntegrand()
3159 
3160 .keywords: TS, sensitivity analysis
3161 @*/
3162 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
3163 {
3164   PetscFunctionBegin;
3165   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3166   PetscValidPointer(v,2);
3167   *v = ts->vec_costintegral;
3168   PetscFunctionReturn(0);
3169 }
3170 
3171 #undef __FUNCT__
3172 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
3173 /*@
3174    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
3175 
3176    Input Parameters:
3177 +  ts - the TS context
3178 .  t - current time
3179 -  y - state vector, i.e. current solution
3180 
3181    Output Parameter:
3182 .  q - vector of size numcost to hold the outputs
3183 
3184    Note:
3185    Most users should not need to explicitly call this routine, as it
3186    is used internally within the sensitivity analysis context.
3187 
3188    Level: developer
3189 
3190 .keywords: TS, compute
3191 
3192 .seealso: TSSetCostIntegrand()
3193 @*/
3194 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
3195 {
3196   PetscErrorCode ierr;
3197 
3198   PetscFunctionBegin;
3199   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3200   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3201   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
3202 
3203   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3204   if (ts->costintegrand) {
3205     PetscStackPush("TS user integrand in the cost function");
3206     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
3207     PetscStackPop;
3208   } else {
3209     ierr = VecZeroEntries(q);CHKERRQ(ierr);
3210   }
3211 
3212   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3213   PetscFunctionReturn(0);
3214 }
3215 
3216 #undef __FUNCT__
3217 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
3218 /*@
3219   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
3220 
3221   Collective on TS
3222 
3223   Input Parameters:
3224 . ts   - The TS context obtained from TSCreate()
3225 
3226   Notes:
3227   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
3228   so most users would not generally call this routine themselves.
3229 
3230   Level: developer
3231 
3232 .keywords: TS, sensitivity
3233 .seealso: TSAdjointComputeDRDYFunction()
3234 @*/
3235 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
3236 {
3237   PetscErrorCode ierr;
3238 
3239   PetscFunctionBegin;
3240   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3241   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3242 
3243   PetscStackPush("TS user DRDY function for sensitivity analysis");
3244   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
3245   PetscStackPop;
3246   PetscFunctionReturn(0);
3247 }
3248 
3249 #undef __FUNCT__
3250 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
3251 /*@
3252   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
3253 
3254   Collective on TS
3255 
3256   Input Parameters:
3257 . ts   - The TS context obtained from TSCreate()
3258 
3259   Notes:
3260   TSDRDPFunction() is typically used for sensitivity implementation,
3261   so most users would not generally call this routine themselves.
3262 
3263   Level: developer
3264 
3265 .keywords: TS, sensitivity
3266 .seealso: TSAdjointSetDRDPFunction()
3267 @*/
3268 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
3269 {
3270   PetscErrorCode ierr;
3271 
3272   PetscFunctionBegin;
3273   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3274   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3275 
3276   PetscStackPush("TS user DRDP function for sensitivity analysis");
3277   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
3278   PetscStackPop;
3279   PetscFunctionReturn(0);
3280 }
3281 
3282 #undef __FUNCT__
3283 #define __FUNCT__ "TSSetPreStep"
3284 /*@C
3285   TSSetPreStep - Sets the general-purpose function
3286   called once at the beginning of each time step.
3287 
3288   Logically Collective on TS
3289 
3290   Input Parameters:
3291 + ts   - The TS context obtained from TSCreate()
3292 - func - The function
3293 
3294   Calling sequence of func:
3295 . func (TS ts);
3296 
3297   Level: intermediate
3298 
3299   Note:
3300   If a step is rejected, TSStep() will call this routine again before each attempt.
3301   The last completed time step number can be queried using TSGetTimeStepNumber(), the
3302   size of the step being attempted can be obtained using TSGetTimeStep().
3303 
3304 .keywords: TS, timestep
3305 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
3306 @*/
3307 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
3308 {
3309   PetscFunctionBegin;
3310   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3311   ts->prestep = func;
3312   PetscFunctionReturn(0);
3313 }
3314 
3315 #undef __FUNCT__
3316 #define __FUNCT__ "TSPreStep"
3317 /*@
3318   TSPreStep - Runs the user-defined pre-step function.
3319 
3320   Collective on TS
3321 
3322   Input Parameters:
3323 . ts   - The TS context obtained from TSCreate()
3324 
3325   Notes:
3326   TSPreStep() is typically used within time stepping implementations,
3327   so most users would not generally call this routine themselves.
3328 
3329   Level: developer
3330 
3331 .keywords: TS, timestep
3332 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
3333 @*/
3334 PetscErrorCode  TSPreStep(TS ts)
3335 {
3336   PetscErrorCode ierr;
3337 
3338   PetscFunctionBegin;
3339   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3340   if (ts->prestep) {
3341     PetscStackCallStandard((*ts->prestep),(ts));
3342   }
3343   PetscFunctionReturn(0);
3344 }
3345 
3346 #undef __FUNCT__
3347 #define __FUNCT__ "TSSetPreStage"
3348 /*@C
3349   TSSetPreStage - Sets the general-purpose function
3350   called once at the beginning of each stage.
3351 
3352   Logically Collective on TS
3353 
3354   Input Parameters:
3355 + ts   - The TS context obtained from TSCreate()
3356 - func - The function
3357 
3358   Calling sequence of func:
3359 . PetscErrorCode func(TS ts, PetscReal stagetime);
3360 
3361   Level: intermediate
3362 
3363   Note:
3364   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3365   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3366   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3367 
3368 .keywords: TS, timestep
3369 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3370 @*/
3371 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
3372 {
3373   PetscFunctionBegin;
3374   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3375   ts->prestage = func;
3376   PetscFunctionReturn(0);
3377 }
3378 
3379 #undef __FUNCT__
3380 #define __FUNCT__ "TSSetPostStage"
3381 /*@C
3382   TSSetPostStage - Sets the general-purpose function
3383   called once at the end of each stage.
3384 
3385   Logically Collective on TS
3386 
3387   Input Parameters:
3388 + ts   - The TS context obtained from TSCreate()
3389 - func - The function
3390 
3391   Calling sequence of func:
3392 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
3393 
3394   Level: intermediate
3395 
3396   Note:
3397   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3398   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3399   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3400 
3401 .keywords: TS, timestep
3402 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3403 @*/
3404 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
3405 {
3406   PetscFunctionBegin;
3407   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3408   ts->poststage = func;
3409   PetscFunctionReturn(0);
3410 }
3411 
3412 #undef __FUNCT__
3413 #define __FUNCT__ "TSSetPostEvaluate"
3414 /*@C
3415   TSSetPostEvaluate - Sets the general-purpose function
3416   called once at the end of each step evaluation.
3417 
3418   Logically Collective on TS
3419 
3420   Input Parameters:
3421 + ts   - The TS context obtained from TSCreate()
3422 - func - The function
3423 
3424   Calling sequence of func:
3425 . PetscErrorCode func(TS ts);
3426 
3427   Level: intermediate
3428 
3429   Note:
3430   Semantically, TSSetPostEvaluate() differs from TSSetPostStep() since the function it sets is called before event-handling
3431   thus guaranteeing the same solution (computed by the time-stepper) will be passed to it. On the other hand, TSPostStep()
3432   may be passed a different solution, possibly changed by the event handler. TSPostEvaluate() is called after the next step
3433   solution is evaluated allowing to modify it, if need be. The solution can be obtained with TSGetSolution(), the time step
3434   with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3435 
3436 .keywords: TS, timestep
3437 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3438 @*/
3439 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3440 {
3441   PetscFunctionBegin;
3442   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3443   ts->postevaluate = func;
3444   PetscFunctionReturn(0);
3445 }
3446 
3447 #undef __FUNCT__
3448 #define __FUNCT__ "TSPreStage"
3449 /*@
3450   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3451 
3452   Collective on TS
3453 
3454   Input Parameters:
3455 . ts          - The TS context obtained from TSCreate()
3456   stagetime   - The absolute time of the current stage
3457 
3458   Notes:
3459   TSPreStage() is typically used within time stepping implementations,
3460   most users would not generally call this routine themselves.
3461 
3462   Level: developer
3463 
3464 .keywords: TS, timestep
3465 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3466 @*/
3467 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3468 {
3469   PetscErrorCode ierr;
3470 
3471   PetscFunctionBegin;
3472   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3473   if (ts->prestage) {
3474     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3475   }
3476   PetscFunctionReturn(0);
3477 }
3478 
3479 #undef __FUNCT__
3480 #define __FUNCT__ "TSPostStage"
3481 /*@
3482   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3483 
3484   Collective on TS
3485 
3486   Input Parameters:
3487 . ts          - The TS context obtained from TSCreate()
3488   stagetime   - The absolute time of the current stage
3489   stageindex  - Stage number
3490   Y           - Array of vectors (of size = total number
3491                 of stages) with the stage solutions
3492 
3493   Notes:
3494   TSPostStage() is typically used within time stepping implementations,
3495   most users would not generally call this routine themselves.
3496 
3497   Level: developer
3498 
3499 .keywords: TS, timestep
3500 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3501 @*/
3502 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3503 {
3504   PetscErrorCode ierr;
3505 
3506   PetscFunctionBegin;
3507   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3508   if (ts->poststage) {
3509     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3510   }
3511   PetscFunctionReturn(0);
3512 }
3513 
3514 #undef __FUNCT__
3515 #define __FUNCT__ "TSPostEvaluate"
3516 /*@
3517   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3518 
3519   Collective on TS
3520 
3521   Input Parameters:
3522 . ts          - The TS context obtained from TSCreate()
3523 
3524   Notes:
3525   TSPostEvaluate() is typically used within time stepping implementations,
3526   most users would not generally call this routine themselves.
3527 
3528   Level: developer
3529 
3530 .keywords: TS, timestep
3531 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3532 @*/
3533 PetscErrorCode  TSPostEvaluate(TS ts)
3534 {
3535   PetscErrorCode ierr;
3536 
3537   PetscFunctionBegin;
3538   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3539   if (ts->postevaluate) {
3540     PetscStackCallStandard((*ts->postevaluate),(ts));
3541   }
3542   PetscFunctionReturn(0);
3543 }
3544 
3545 #undef __FUNCT__
3546 #define __FUNCT__ "TSSetPostStep"
3547 /*@C
3548   TSSetPostStep - Sets the general-purpose function
3549   called once at the end of each time step.
3550 
3551   Logically Collective on TS
3552 
3553   Input Parameters:
3554 + ts   - The TS context obtained from TSCreate()
3555 - func - The function
3556 
3557   Calling sequence of func:
3558 $ func (TS ts);
3559 
3560   Notes:
3561   The function set by TSSetPostStep() is called after each successful step. The solution vector X
3562   obtained by TSGetSolution() may be different than that computed at the step end if the event handler
3563   locates an event and TSPostEvent() modifies it. Use TSSetPostEvaluate() if an unmodified solution is needed instead.
3564 
3565   Level: intermediate
3566 
3567 .keywords: TS, timestep
3568 .seealso: TSSetPreStep(), TSSetPreStage(), TSSetPostEvaluate(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3569 @*/
3570 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3571 {
3572   PetscFunctionBegin;
3573   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3574   ts->poststep = func;
3575   PetscFunctionReturn(0);
3576 }
3577 
3578 #undef __FUNCT__
3579 #define __FUNCT__ "TSPostStep"
3580 /*@
3581   TSPostStep - Runs the user-defined post-step function.
3582 
3583   Collective on TS
3584 
3585   Input Parameters:
3586 . ts   - The TS context obtained from TSCreate()
3587 
3588   Notes:
3589   TSPostStep() is typically used within time stepping implementations,
3590   so most users would not generally call this routine themselves.
3591 
3592   Level: developer
3593 
3594 .keywords: TS, timestep
3595 @*/
3596 PetscErrorCode  TSPostStep(TS ts)
3597 {
3598   PetscErrorCode ierr;
3599 
3600   PetscFunctionBegin;
3601   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3602   if (ts->poststep) {
3603     PetscStackCallStandard((*ts->poststep),(ts));
3604   }
3605   PetscFunctionReturn(0);
3606 }
3607 
3608 /* ------------ Routines to set performance monitoring options ----------- */
3609 
3610 #undef __FUNCT__
3611 #define __FUNCT__ "TSMonitorSet"
3612 /*@C
3613    TSMonitorSet - 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 .  monitor - monitoring routine
3621 .  mctx - [optional] user-defined context for private data for the
3622              monitor routine (use NULL if no context is desired)
3623 -  monitordestroy - [optional] routine that frees monitor context
3624           (may be NULL)
3625 
3626    Calling sequence of monitor:
3627 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3628 
3629 +    ts - the TS context
3630 .    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)
3631 .    time - current time
3632 .    u - current iterate
3633 -    mctx - [optional] monitoring context
3634 
3635    Notes:
3636    This routine adds an additional monitor to the list of monitors that
3637    already has been loaded.
3638 
3639    Fortran notes: Only a single monitor function can be set for each TS object
3640 
3641    Level: intermediate
3642 
3643 .keywords: TS, timestep, set, monitor
3644 
3645 .seealso: TSMonitorDefault(), TSMonitorCancel()
3646 @*/
3647 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3648 {
3649   PetscErrorCode ierr;
3650   PetscInt       i;
3651   PetscBool      identical;
3652 
3653   PetscFunctionBegin;
3654   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3655   for (i=0; i<ts->numbermonitors;i++) {
3656     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3657     if (identical) PetscFunctionReturn(0);
3658   }
3659   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3660   ts->monitor[ts->numbermonitors]          = monitor;
3661   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3662   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3663   PetscFunctionReturn(0);
3664 }
3665 
3666 #undef __FUNCT__
3667 #define __FUNCT__ "TSMonitorCancel"
3668 /*@C
3669    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3670 
3671    Logically Collective on TS
3672 
3673    Input Parameters:
3674 .  ts - the TS context obtained from TSCreate()
3675 
3676    Notes:
3677    There is no way to remove a single, specific monitor.
3678 
3679    Level: intermediate
3680 
3681 .keywords: TS, timestep, set, monitor
3682 
3683 .seealso: TSMonitorDefault(), TSMonitorSet()
3684 @*/
3685 PetscErrorCode  TSMonitorCancel(TS ts)
3686 {
3687   PetscErrorCode ierr;
3688   PetscInt       i;
3689 
3690   PetscFunctionBegin;
3691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3692   for (i=0; i<ts->numbermonitors; i++) {
3693     if (ts->monitordestroy[i]) {
3694       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3695     }
3696   }
3697   ts->numbermonitors = 0;
3698   PetscFunctionReturn(0);
3699 }
3700 
3701 #undef __FUNCT__
3702 #define __FUNCT__ "TSMonitorDefault"
3703 /*@C
3704    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3705 
3706    Level: intermediate
3707 
3708 .keywords: TS, set, monitor
3709 
3710 .seealso:  TSMonitorSet()
3711 @*/
3712 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3713 {
3714   PetscErrorCode ierr;
3715   PetscViewer    viewer =  vf->viewer;
3716   PetscBool      iascii,ibinary;
3717 
3718   PetscFunctionBegin;
3719   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3720   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3721   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3722   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3723   if (iascii) {
3724     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3725     if (step == -1){ /* this indicates it is an interpolated solution */
3726       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3727     } else {
3728       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3729     }
3730     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3731   } else if (ibinary) {
3732     PetscMPIInt rank;
3733     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3734     if (!rank) {
3735       PetscBool skipHeader;
3736       PetscInt  classid = REAL_FILE_CLASSID;
3737 
3738       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3739       if (!skipHeader) {
3740          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3741        }
3742       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3743     } else {
3744       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3745     }
3746   }
3747   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3748   PetscFunctionReturn(0);
3749 }
3750 
3751 #undef __FUNCT__
3752 #define __FUNCT__ "TSAdjointMonitorSet"
3753 /*@C
3754    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3755    timestep to display the iteration's  progress.
3756 
3757    Logically Collective on TS
3758 
3759    Input Parameters:
3760 +  ts - the TS context obtained from TSCreate()
3761 .  adjointmonitor - monitoring routine
3762 .  adjointmctx - [optional] user-defined context for private data for the
3763              monitor routine (use NULL if no context is desired)
3764 -  adjointmonitordestroy - [optional] routine that frees monitor context
3765           (may be NULL)
3766 
3767    Calling sequence of monitor:
3768 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3769 
3770 +    ts - the TS context
3771 .    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
3772                                been interpolated to)
3773 .    time - current time
3774 .    u - current iterate
3775 .    numcost - number of cost functionos
3776 .    lambda - sensitivities to initial conditions
3777 .    mu - sensitivities to parameters
3778 -    adjointmctx - [optional] adjoint monitoring context
3779 
3780    Notes:
3781    This routine adds an additional monitor to the list of monitors that
3782    already has been loaded.
3783 
3784    Fortran notes: Only a single monitor function can be set for each TS object
3785 
3786    Level: intermediate
3787 
3788 .keywords: TS, timestep, set, adjoint, monitor
3789 
3790 .seealso: TSAdjointMonitorCancel()
3791 @*/
3792 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3793 {
3794   PetscErrorCode ierr;
3795   PetscInt       i;
3796   PetscBool      identical;
3797 
3798   PetscFunctionBegin;
3799   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3800   for (i=0; i<ts->numbermonitors;i++) {
3801     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3802     if (identical) PetscFunctionReturn(0);
3803   }
3804   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3805   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3806   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3807   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3808   PetscFunctionReturn(0);
3809 }
3810 
3811 #undef __FUNCT__
3812 #define __FUNCT__ "TSAdjointMonitorCancel"
3813 /*@C
3814    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3815 
3816    Logically Collective on TS
3817 
3818    Input Parameters:
3819 .  ts - the TS context obtained from TSCreate()
3820 
3821    Notes:
3822    There is no way to remove a single, specific monitor.
3823 
3824    Level: intermediate
3825 
3826 .keywords: TS, timestep, set, adjoint, monitor
3827 
3828 .seealso: TSAdjointMonitorSet()
3829 @*/
3830 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3831 {
3832   PetscErrorCode ierr;
3833   PetscInt       i;
3834 
3835   PetscFunctionBegin;
3836   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3837   for (i=0; i<ts->numberadjointmonitors; i++) {
3838     if (ts->adjointmonitordestroy[i]) {
3839       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3840     }
3841   }
3842   ts->numberadjointmonitors = 0;
3843   PetscFunctionReturn(0);
3844 }
3845 
3846 #undef __FUNCT__
3847 #define __FUNCT__ "TSAdjointMonitorDefault"
3848 /*@C
3849    TSAdjointMonitorDefault - the default monitor of adjoint computations
3850 
3851    Level: intermediate
3852 
3853 .keywords: TS, set, monitor
3854 
3855 .seealso: TSAdjointMonitorSet()
3856 @*/
3857 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3858 {
3859   PetscErrorCode ierr;
3860   PetscViewer    viewer = vf->viewer;
3861 
3862   PetscFunctionBegin;
3863   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3864   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3865   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3866   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3867   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3868   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3869   PetscFunctionReturn(0);
3870 }
3871 
3872 #undef __FUNCT__
3873 #define __FUNCT__ "TSInterpolate"
3874 /*@
3875    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3876 
3877    Collective on TS
3878 
3879    Input Argument:
3880 +  ts - time stepping context
3881 -  t - time to interpolate to
3882 
3883    Output Argument:
3884 .  U - state at given time
3885 
3886    Level: intermediate
3887 
3888    Developer Notes:
3889    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3890 
3891 .keywords: TS, set
3892 
3893 .seealso: TSSetExactFinalTime(), TSSolve()
3894 @*/
3895 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3896 {
3897   PetscErrorCode ierr;
3898 
3899   PetscFunctionBegin;
3900   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3901   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3902   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);
3903   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3904   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3905   PetscFunctionReturn(0);
3906 }
3907 
3908 #undef __FUNCT__
3909 #define __FUNCT__ "TSStep"
3910 /*@
3911    TSStep - Steps one time step
3912 
3913    Collective on TS
3914 
3915    Input Parameter:
3916 .  ts - the TS context obtained from TSCreate()
3917 
3918    Level: developer
3919 
3920    Notes:
3921    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3922 
3923    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3924    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3925 
3926    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3927    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3928 
3929 .keywords: TS, timestep, solve
3930 
3931 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3932 @*/
3933 PetscErrorCode  TSStep(TS ts)
3934 {
3935   PetscErrorCode   ierr;
3936   static PetscBool cite = PETSC_FALSE;
3937   PetscReal        ptime;
3938 
3939   PetscFunctionBegin;
3940   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3941   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3942                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3943                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3944                                 "  type        = {Preprint},\n"
3945                                 "  number      = {ANL/MCS-P5061-0114},\n"
3946                                 "  institution = {Argonne National Laboratory},\n"
3947                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3948 
3949   ierr = TSSetUp(ts);CHKERRQ(ierr);
3950   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3951 
3952   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()");
3953   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");
3954 
3955   if (!ts->steps) ts->ptime_prev = ts->ptime;
3956   ts->reason = TS_CONVERGED_ITERATING;
3957   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3958   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3959   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3960   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3961   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3962   ts->ptime_prev = ptime;
3963   ts->steps++; ts->total_steps++;
3964   ts->steprollback = PETSC_FALSE;
3965   ts->steprestart  = PETSC_FALSE;
3966 
3967   if (ts->reason < 0) {
3968     if (ts->errorifstepfailed) {
3969       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]);
3970       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3971     }
3972   } else if (!ts->reason) {
3973     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3974     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3975   }
3976   PetscFunctionReturn(0);
3977 }
3978 
3979 #undef __FUNCT__
3980 #define __FUNCT__ "TSAdjointStep"
3981 /*@
3982    TSAdjointStep - Steps one time step backward in the adjoint run
3983 
3984    Collective on TS
3985 
3986    Input Parameter:
3987 .  ts - the TS context obtained from TSCreate()
3988 
3989    Level: intermediate
3990 
3991 .keywords: TS, adjoint, step
3992 
3993 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3994 @*/
3995 PetscErrorCode  TSAdjointStep(TS ts)
3996 {
3997   DM               dm;
3998   PetscErrorCode   ierr;
3999 
4000   PetscFunctionBegin;
4001   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4002   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4003   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4004 
4005   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
4006 
4007   ts->reason = TS_CONVERGED_ITERATING;
4008   ts->ptime_prev = ts->ptime;
4009   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);
4010   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
4011   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
4012   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
4013   ts->steps++; ts->total_steps--;
4014 
4015   if (ts->reason < 0) {
4016     if (ts->errorifstepfailed) {
4017       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]);
4018       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]);
4019       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
4020     }
4021   } else if (!ts->reason) {
4022     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
4023   }
4024   PetscFunctionReturn(0);
4025 }
4026 
4027 #undef __FUNCT__
4028 #define __FUNCT__ "TSEvaluateWLTE"
4029 /*@
4030    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
4031    at the end of a time step with a given order of accuracy.
4032 
4033    Collective on TS
4034 
4035    Input Arguments:
4036 +  ts - time stepping context
4037 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
4038 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
4039 
4040    Output Arguments:
4041 +  order - optional, the actual order of the error evaluation
4042 -  wlte - the weighted local truncation error norm
4043 
4044    Level: advanced
4045 
4046    Notes:
4047    If the timestepper cannot evaluate the error in a particular step
4048    (eg. in the first step or restart steps after event handling),
4049    this routine returns wlte=-1.0 .
4050 
4051 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
4052 @*/
4053 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
4054 {
4055   PetscErrorCode ierr;
4056 
4057   PetscFunctionBegin;
4058   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4059   PetscValidType(ts,1);
4060   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
4061   if (order) PetscValidIntPointer(order,3);
4062   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
4063   PetscValidRealPointer(wlte,4);
4064   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
4065   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
4066   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
4067   PetscFunctionReturn(0);
4068 }
4069 
4070 #undef __FUNCT__
4071 #define __FUNCT__ "TSEvaluateStep"
4072 /*@
4073    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
4074 
4075    Collective on TS
4076 
4077    Input Arguments:
4078 +  ts - time stepping context
4079 .  order - desired order of accuracy
4080 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
4081 
4082    Output Arguments:
4083 .  U - state at the end of the current step
4084 
4085    Level: advanced
4086 
4087    Notes:
4088    This function cannot be called until all stages have been evaluated.
4089    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.
4090 
4091 .seealso: TSStep(), TSAdapt
4092 @*/
4093 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
4094 {
4095   PetscErrorCode ierr;
4096 
4097   PetscFunctionBegin;
4098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4099   PetscValidType(ts,1);
4100   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
4101   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
4102   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
4103   PetscFunctionReturn(0);
4104 }
4105 
4106 #undef __FUNCT__
4107 #define __FUNCT__ "TSForwardCostIntegral"
4108 /*@
4109  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
4110 
4111  Collective on TS
4112 
4113  Input Arguments:
4114  .  ts - time stepping context
4115 
4116  Level: advanced
4117 
4118  Notes:
4119  This function cannot be called until TSStep() has been completed.
4120 
4121  .seealso: TSSolve(), TSAdjointCostIntegral()
4122  @*/
4123 PetscErrorCode TSForwardCostIntegral(TS ts)
4124 {
4125     PetscErrorCode ierr;
4126     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4127     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);
4128     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
4129     PetscFunctionReturn(0);
4130 }
4131 
4132 #undef __FUNCT__
4133 #define __FUNCT__ "TSSolve"
4134 /*@
4135    TSSolve - Steps the requested number of timesteps.
4136 
4137    Collective on TS
4138 
4139    Input Parameter:
4140 +  ts - the TS context obtained from TSCreate()
4141 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
4142                              otherwise must contain the initial conditions and will contain the solution at the final requested time
4143 
4144    Level: beginner
4145 
4146    Notes:
4147    The final time returned by this function may be different from the time of the internally
4148    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4149    stepped over the final time.
4150 
4151 .keywords: TS, timestep, solve
4152 
4153 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4154 @*/
4155 PetscErrorCode TSSolve(TS ts,Vec u)
4156 {
4157   Vec               solution;
4158   PetscErrorCode    ierr;
4159 
4160   PetscFunctionBegin;
4161   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4162   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4163 
4164   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 */
4165     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4166     if (!ts->vec_sol || u == ts->vec_sol) {
4167       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4168       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4169       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4170     }
4171     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4172   } else if (u) {
4173     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4174   }
4175   ierr = TSSetUp(ts);CHKERRQ(ierr);
4176   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4177 
4178   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()");
4179   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");
4180 
4181   /* reset time step and iteration counters */
4182   ts->steps             = 0;
4183   ts->ksp_its           = 0;
4184   ts->snes_its          = 0;
4185   ts->num_snes_failures = 0;
4186   ts->reject            = 0;
4187   ts->reason            = TS_CONVERGED_ITERATING;
4188 
4189   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4190 
4191   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4192     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4193     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4194     ts->solvetime = ts->ptime;
4195     solution = ts->vec_sol;
4196   } else { /* Step the requested number of timesteps. */
4197     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4198     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4199     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4200     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4201     ts->steprollback = PETSC_FALSE;
4202     ts->steprestart  = PETSC_TRUE;
4203 
4204     while (!ts->reason) {
4205       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4206       if (!ts->steprollback) {
4207         ierr = TSPreStep(ts);CHKERRQ(ierr);
4208       }
4209       ierr = TSStep(ts);CHKERRQ(ierr);
4210       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4211         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4212       }
4213       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. */
4214       if (!ts->steprollback) {
4215         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4216         ierr = TSPostStep(ts);CHKERRQ(ierr);
4217       }
4218     }
4219     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4220 
4221     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4222       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4223       ts->solvetime = ts->max_time;
4224       solution = u;
4225       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4226     } else {
4227       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4228       ts->solvetime = ts->ptime;
4229       solution = ts->vec_sol;
4230     }
4231   }
4232 
4233   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4234   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4235   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4236   if (ts->adjoint_solve) {
4237     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4238   }
4239   PetscFunctionReturn(0);
4240 }
4241 
4242 #undef __FUNCT__
4243 #define __FUNCT__ "TSAdjointCostIntegral"
4244 /*@
4245  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4246 
4247  Collective on TS
4248 
4249  Input Arguments:
4250  .  ts - time stepping context
4251 
4252  Level: advanced
4253 
4254  Notes:
4255  This function cannot be called until TSAdjointStep() has been completed.
4256 
4257  .seealso: TSAdjointSolve(), TSAdjointStep
4258  @*/
4259 PetscErrorCode TSAdjointCostIntegral(TS ts)
4260 {
4261     PetscErrorCode ierr;
4262     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4263     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);
4264     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4265     PetscFunctionReturn(0);
4266 }
4267 
4268 #undef __FUNCT__
4269 #define __FUNCT__ "TSAdjointSolve"
4270 /*@
4271    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4272 
4273    Collective on TS
4274 
4275    Input Parameter:
4276 .  ts - the TS context obtained from TSCreate()
4277 
4278    Options Database:
4279 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4280 
4281    Level: intermediate
4282 
4283    Notes:
4284    This must be called after a call to TSSolve() that solves the forward problem
4285 
4286    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4287 
4288 .keywords: TS, timestep, solve
4289 
4290 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4291 @*/
4292 PetscErrorCode TSAdjointSolve(TS ts)
4293 {
4294   PetscErrorCode    ierr;
4295 
4296   PetscFunctionBegin;
4297   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4298   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4299 
4300   /* reset time step and iteration counters */
4301   ts->steps             = 0;
4302   ts->ksp_its           = 0;
4303   ts->snes_its          = 0;
4304   ts->num_snes_failures = 0;
4305   ts->reject            = 0;
4306   ts->reason            = TS_CONVERGED_ITERATING;
4307 
4308   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4309 
4310   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4311   while (!ts->reason) {
4312     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4313     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4314     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4315     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4316     if (ts->vec_costintegral && !ts->costintegralfwd) {
4317       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4318     }
4319   }
4320   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4321   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4322   ts->solvetime = ts->ptime;
4323   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4324   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4325   PetscFunctionReturn(0);
4326 }
4327 
4328 #undef __FUNCT__
4329 #define __FUNCT__ "TSMonitor"
4330 /*@C
4331    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4332 
4333    Collective on TS
4334 
4335    Input Parameters:
4336 +  ts - time stepping context obtained from TSCreate()
4337 .  step - step number that has just completed
4338 .  ptime - model time of the state
4339 -  u - state at the current model time
4340 
4341    Notes:
4342    TSMonitor() is typically used automatically within the time stepping implementations.
4343    Users would almost never call this routine directly.
4344 
4345    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4346 
4347    Level: developer
4348 
4349 .keywords: TS, timestep
4350 @*/
4351 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4352 {
4353   DM             dm;
4354   PetscInt       i,n = ts->numbermonitors;
4355   PetscErrorCode ierr;
4356 
4357   PetscFunctionBegin;
4358   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4359   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4360 
4361   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4362   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4363 
4364   ierr = VecLockPush(u);CHKERRQ(ierr);
4365   for (i=0; i<n; i++) {
4366     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4367   }
4368   ierr = VecLockPop(u);CHKERRQ(ierr);
4369   PetscFunctionReturn(0);
4370 }
4371 
4372 #undef __FUNCT__
4373 #define __FUNCT__ "TSAdjointMonitor"
4374 /*@C
4375    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4376 
4377    Collective on TS
4378 
4379    Input Parameters:
4380 +  ts - time stepping context obtained from TSCreate()
4381 .  step - step number that has just completed
4382 .  ptime - model time of the state
4383 .  u - state at the current model time
4384 .  numcost - number of cost functions (dimension of lambda  or mu)
4385 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4386 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4387 
4388    Notes:
4389    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4390    Users would almost never call this routine directly.
4391 
4392    Level: developer
4393 
4394 .keywords: TS, timestep
4395 @*/
4396 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4397 {
4398   PetscErrorCode ierr;
4399   PetscInt       i,n = ts->numberadjointmonitors;
4400 
4401   PetscFunctionBegin;
4402   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4403   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4404   ierr = VecLockPush(u);CHKERRQ(ierr);
4405   for (i=0; i<n; i++) {
4406     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4407   }
4408   ierr = VecLockPop(u);CHKERRQ(ierr);
4409   PetscFunctionReturn(0);
4410 }
4411 
4412 /* ------------------------------------------------------------------------*/
4413 #undef __FUNCT__
4414 #define __FUNCT__ "TSMonitorLGCtxCreate"
4415 /*@C
4416    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4417    TS to monitor the solution process graphically in various ways
4418 
4419    Collective on TS
4420 
4421    Input Parameters:
4422 +  host - the X display to open, or null for the local machine
4423 .  label - the title to put in the title bar
4424 .  x, y - the screen coordinates of the upper left coordinate of the window
4425 .  m, n - the screen width and height in pixels
4426 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4427 
4428    Output Parameter:
4429 .  ctx - the context
4430 
4431    Options Database Key:
4432 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4433 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4434 .  -ts_monitor_lg_error -  monitor the error
4435 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4436 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4437 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4438 
4439    Notes:
4440    Use TSMonitorLGCtxDestroy() to destroy.
4441 
4442    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4443 
4444    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4445    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
4446    as the first argument.
4447 
4448    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4449 
4450 
4451    Level: intermediate
4452 
4453 .keywords: TS, monitor, line graph, residual
4454 
4455 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4456            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4457            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4458            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4459            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4460 
4461 @*/
4462 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4463 {
4464   PetscDraw      draw;
4465   PetscErrorCode ierr;
4466 
4467   PetscFunctionBegin;
4468   ierr = PetscNew(ctx);CHKERRQ(ierr);
4469   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4470   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4471   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4472   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4473   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4474   (*ctx)->howoften = howoften;
4475   PetscFunctionReturn(0);
4476 }
4477 
4478 #undef __FUNCT__
4479 #define __FUNCT__ "TSMonitorLGTimeStep"
4480 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4481 {
4482   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4483   PetscReal      x   = ptime,y;
4484   PetscErrorCode ierr;
4485 
4486   PetscFunctionBegin;
4487   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4488   if (!step) {
4489     PetscDrawAxis axis;
4490     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4491     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4492     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4493   }
4494   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4495   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4496   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4497     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4498     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4499   }
4500   PetscFunctionReturn(0);
4501 }
4502 
4503 #undef __FUNCT__
4504 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4505 /*@C
4506    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4507    with TSMonitorLGCtxCreate().
4508 
4509    Collective on TSMonitorLGCtx
4510 
4511    Input Parameter:
4512 .  ctx - the monitor context
4513 
4514    Level: intermediate
4515 
4516 .keywords: TS, monitor, line graph, destroy
4517 
4518 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4519 @*/
4520 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4521 {
4522   PetscErrorCode ierr;
4523 
4524   PetscFunctionBegin;
4525   if ((*ctx)->transformdestroy) {
4526     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4527   }
4528   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4529   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4530   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4531   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4532   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4533   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4534   PetscFunctionReturn(0);
4535 }
4536 
4537 #undef __FUNCT__
4538 #define __FUNCT__ "TSGetTime"
4539 /*@
4540    TSGetTime - Gets the time of the most recently completed step.
4541 
4542    Not Collective
4543 
4544    Input Parameter:
4545 .  ts - the TS context obtained from TSCreate()
4546 
4547    Output Parameter:
4548 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4549 
4550    Level: beginner
4551 
4552    Note:
4553    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4554    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4555 
4556 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4557 
4558 .keywords: TS, get, time
4559 @*/
4560 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4561 {
4562   PetscFunctionBegin;
4563   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4564   PetscValidRealPointer(t,2);
4565   *t = ts->ptime;
4566   PetscFunctionReturn(0);
4567 }
4568 
4569 #undef __FUNCT__
4570 #define __FUNCT__ "TSGetPrevTime"
4571 /*@
4572    TSGetPrevTime - Gets the starting time of the previously completed step.
4573 
4574    Not Collective
4575 
4576    Input Parameter:
4577 .  ts - the TS context obtained from TSCreate()
4578 
4579    Output Parameter:
4580 .  t  - the previous time
4581 
4582    Level: beginner
4583 
4584 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4585 
4586 .keywords: TS, get, time
4587 @*/
4588 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4589 {
4590   PetscFunctionBegin;
4591   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4592   PetscValidRealPointer(t,2);
4593   *t = ts->ptime_prev;
4594   PetscFunctionReturn(0);
4595 }
4596 
4597 #undef __FUNCT__
4598 #define __FUNCT__ "TSSetTime"
4599 /*@
4600    TSSetTime - Allows one to reset the time.
4601 
4602    Logically Collective on TS
4603 
4604    Input Parameters:
4605 +  ts - the TS context obtained from TSCreate()
4606 -  time - the time
4607 
4608    Level: intermediate
4609 
4610 .seealso: TSGetTime(), TSSetDuration()
4611 
4612 .keywords: TS, set, time
4613 @*/
4614 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4615 {
4616   PetscFunctionBegin;
4617   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4618   PetscValidLogicalCollectiveReal(ts,t,2);
4619   ts->ptime = t;
4620   PetscFunctionReturn(0);
4621 }
4622 
4623 #undef __FUNCT__
4624 #define __FUNCT__ "TSSetOptionsPrefix"
4625 /*@C
4626    TSSetOptionsPrefix - Sets the prefix used for searching for all
4627    TS options in the database.
4628 
4629    Logically Collective on TS
4630 
4631    Input Parameter:
4632 +  ts     - The TS context
4633 -  prefix - The prefix to prepend to all option names
4634 
4635    Notes:
4636    A hyphen (-) must NOT be given at the beginning of the prefix name.
4637    The first character of all runtime options is AUTOMATICALLY the
4638    hyphen.
4639 
4640    Level: advanced
4641 
4642 .keywords: TS, set, options, prefix, database
4643 
4644 .seealso: TSSetFromOptions()
4645 
4646 @*/
4647 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4648 {
4649   PetscErrorCode ierr;
4650   SNES           snes;
4651 
4652   PetscFunctionBegin;
4653   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4654   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4655   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4656   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4657   PetscFunctionReturn(0);
4658 }
4659 
4660 
4661 #undef __FUNCT__
4662 #define __FUNCT__ "TSAppendOptionsPrefix"
4663 /*@C
4664    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4665    TS options in the database.
4666 
4667    Logically Collective on TS
4668 
4669    Input Parameter:
4670 +  ts     - The TS context
4671 -  prefix - The prefix to prepend to all option names
4672 
4673    Notes:
4674    A hyphen (-) must NOT be given at the beginning of the prefix name.
4675    The first character of all runtime options is AUTOMATICALLY the
4676    hyphen.
4677 
4678    Level: advanced
4679 
4680 .keywords: TS, append, options, prefix, database
4681 
4682 .seealso: TSGetOptionsPrefix()
4683 
4684 @*/
4685 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4686 {
4687   PetscErrorCode ierr;
4688   SNES           snes;
4689 
4690   PetscFunctionBegin;
4691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4692   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4693   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4694   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4695   PetscFunctionReturn(0);
4696 }
4697 
4698 #undef __FUNCT__
4699 #define __FUNCT__ "TSGetOptionsPrefix"
4700 /*@C
4701    TSGetOptionsPrefix - Sets the prefix used for searching for all
4702    TS options in the database.
4703 
4704    Not Collective
4705 
4706    Input Parameter:
4707 .  ts - The TS context
4708 
4709    Output Parameter:
4710 .  prefix - A pointer to the prefix string used
4711 
4712    Notes: On the fortran side, the user should pass in a string 'prifix' of
4713    sufficient length to hold the prefix.
4714 
4715    Level: intermediate
4716 
4717 .keywords: TS, get, options, prefix, database
4718 
4719 .seealso: TSAppendOptionsPrefix()
4720 @*/
4721 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4722 {
4723   PetscErrorCode ierr;
4724 
4725   PetscFunctionBegin;
4726   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4727   PetscValidPointer(prefix,2);
4728   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4729   PetscFunctionReturn(0);
4730 }
4731 
4732 #undef __FUNCT__
4733 #define __FUNCT__ "TSGetRHSJacobian"
4734 /*@C
4735    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4736 
4737    Not Collective, but parallel objects are returned if TS is parallel
4738 
4739    Input Parameter:
4740 .  ts  - The TS context obtained from TSCreate()
4741 
4742    Output Parameters:
4743 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4744 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4745 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4746 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4747 
4748    Notes: You can pass in NULL for any return argument you do not need.
4749 
4750    Level: intermediate
4751 
4752 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4753 
4754 .keywords: TS, timestep, get, matrix, Jacobian
4755 @*/
4756 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4757 {
4758   PetscErrorCode ierr;
4759   SNES           snes;
4760   DM             dm;
4761 
4762   PetscFunctionBegin;
4763   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4764   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4765   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4766   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4767   PetscFunctionReturn(0);
4768 }
4769 
4770 #undef __FUNCT__
4771 #define __FUNCT__ "TSGetIJacobian"
4772 /*@C
4773    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4774 
4775    Not Collective, but parallel objects are returned if TS is parallel
4776 
4777    Input Parameter:
4778 .  ts  - The TS context obtained from TSCreate()
4779 
4780    Output Parameters:
4781 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4782 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4783 .  f   - The function to compute the matrices
4784 - ctx - User-defined context for Jacobian evaluation routine
4785 
4786    Notes: You can pass in NULL for any return argument you do not need.
4787 
4788    Level: advanced
4789 
4790 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4791 
4792 .keywords: TS, timestep, get, matrix, Jacobian
4793 @*/
4794 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4795 {
4796   PetscErrorCode ierr;
4797   SNES           snes;
4798   DM             dm;
4799 
4800   PetscFunctionBegin;
4801   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4802   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4803   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4804   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4805   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4806   PetscFunctionReturn(0);
4807 }
4808 
4809 
4810 #undef __FUNCT__
4811 #define __FUNCT__ "TSMonitorDrawSolution"
4812 /*@C
4813    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4814    VecView() for the solution at each timestep
4815 
4816    Collective on TS
4817 
4818    Input Parameters:
4819 +  ts - the TS context
4820 .  step - current time-step
4821 .  ptime - current time
4822 -  dummy - either a viewer or NULL
4823 
4824    Options Database:
4825 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4826 
4827    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4828        will look bad
4829 
4830    Level: intermediate
4831 
4832 .keywords: TS,  vector, monitor, view
4833 
4834 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4835 @*/
4836 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4837 {
4838   PetscErrorCode   ierr;
4839   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4840   PetscDraw        draw;
4841 
4842   PetscFunctionBegin;
4843   if (!step && ictx->showinitial) {
4844     if (!ictx->initialsolution) {
4845       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4846     }
4847     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4848   }
4849   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4850 
4851   if (ictx->showinitial) {
4852     PetscReal pause;
4853     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4854     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4855     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4856     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4857     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4858   }
4859   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4860   if (ictx->showtimestepandtime) {
4861     PetscReal xl,yl,xr,yr,h;
4862     char      time[32];
4863 
4864     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4865     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4866     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4867     h    = yl + .95*(yr - yl);
4868     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4869     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4870   }
4871 
4872   if (ictx->showinitial) {
4873     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4874   }
4875   PetscFunctionReturn(0);
4876 }
4877 
4878 #undef __FUNCT__
4879 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4880 /*@C
4881    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4882    VecView() for the sensitivities to initial states at each timestep
4883 
4884    Collective on TS
4885 
4886    Input Parameters:
4887 +  ts - the TS context
4888 .  step - current time-step
4889 .  ptime - current time
4890 .  u - current state
4891 .  numcost - number of cost functions
4892 .  lambda - sensitivities to initial conditions
4893 .  mu - sensitivities to parameters
4894 -  dummy - either a viewer or NULL
4895 
4896    Level: intermediate
4897 
4898 .keywords: TS,  vector, adjoint, monitor, view
4899 
4900 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4901 @*/
4902 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4903 {
4904   PetscErrorCode   ierr;
4905   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4906   PetscDraw        draw;
4907   PetscReal        xl,yl,xr,yr,h;
4908   char             time[32];
4909 
4910   PetscFunctionBegin;
4911   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4912 
4913   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4914   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4915   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4916   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4917   h    = yl + .95*(yr - yl);
4918   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4919   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4920   PetscFunctionReturn(0);
4921 }
4922 
4923 #undef __FUNCT__
4924 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4925 /*@C
4926    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4927 
4928    Collective on TS
4929 
4930    Input Parameters:
4931 +  ts - the TS context
4932 .  step - current time-step
4933 .  ptime - current time
4934 -  dummy - either a viewer or NULL
4935 
4936    Level: intermediate
4937 
4938 .keywords: TS,  vector, monitor, view
4939 
4940 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4941 @*/
4942 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4943 {
4944   PetscErrorCode    ierr;
4945   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4946   PetscDraw         draw;
4947   PetscDrawAxis     axis;
4948   PetscInt          n;
4949   PetscMPIInt       size;
4950   PetscReal         U0,U1,xl,yl,xr,yr,h;
4951   char              time[32];
4952   const PetscScalar *U;
4953 
4954   PetscFunctionBegin;
4955   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4956   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4957   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4958   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4959 
4960   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4961   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4962   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4963   if (!step) {
4964     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4965     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4966   }
4967 
4968   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4969   U0 = PetscRealPart(U[0]);
4970   U1 = PetscRealPart(U[1]);
4971   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4972   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4973 
4974   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4975   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4976   if (ictx->showtimestepandtime) {
4977     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4978     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4979     h    = yl + .95*(yr - yl);
4980     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4981   }
4982   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4983   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4984   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4985   PetscFunctionReturn(0);
4986 }
4987 
4988 
4989 #undef __FUNCT__
4990 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4991 /*@C
4992    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4993 
4994    Collective on TS
4995 
4996    Input Parameters:
4997 .    ctx - the monitor context
4998 
4999    Level: intermediate
5000 
5001 .keywords: TS,  vector, monitor, view
5002 
5003 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
5004 @*/
5005 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
5006 {
5007   PetscErrorCode ierr;
5008 
5009   PetscFunctionBegin;
5010   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
5011   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
5012   ierr = PetscFree(*ictx);CHKERRQ(ierr);
5013   PetscFunctionReturn(0);
5014 }
5015 
5016 #undef __FUNCT__
5017 #define __FUNCT__ "TSMonitorDrawCtxCreate"
5018 /*@C
5019    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
5020 
5021    Collective on TS
5022 
5023    Input Parameter:
5024 .    ts - time-step context
5025 
5026    Output Patameter:
5027 .    ctx - the monitor context
5028 
5029    Options Database:
5030 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
5031 
5032    Level: intermediate
5033 
5034 .keywords: TS,  vector, monitor, view
5035 
5036 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
5037 @*/
5038 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
5039 {
5040   PetscErrorCode   ierr;
5041 
5042   PetscFunctionBegin;
5043   ierr = PetscNew(ctx);CHKERRQ(ierr);
5044   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
5045   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
5046 
5047   (*ctx)->howoften    = howoften;
5048   (*ctx)->showinitial = PETSC_FALSE;
5049   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
5050 
5051   (*ctx)->showtimestepandtime = PETSC_FALSE;
5052   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
5053   PetscFunctionReturn(0);
5054 }
5055 
5056 #undef __FUNCT__
5057 #define __FUNCT__ "TSMonitorDrawError"
5058 /*@C
5059    TSMonitorDrawError - Monitors progress of the TS solvers by calling
5060    VecView() for the error at each timestep
5061 
5062    Collective on TS
5063 
5064    Input Parameters:
5065 +  ts - the TS context
5066 .  step - current time-step
5067 .  ptime - current time
5068 -  dummy - either a viewer or NULL
5069 
5070    Level: intermediate
5071 
5072 .keywords: TS,  vector, monitor, view
5073 
5074 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5075 @*/
5076 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5077 {
5078   PetscErrorCode   ierr;
5079   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
5080   PetscViewer      viewer = ctx->viewer;
5081   Vec              work;
5082 
5083   PetscFunctionBegin;
5084   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
5085   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
5086   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
5087   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
5088   ierr = VecView(work,viewer);CHKERRQ(ierr);
5089   ierr = VecDestroy(&work);CHKERRQ(ierr);
5090   PetscFunctionReturn(0);
5091 }
5092 
5093 #include <petsc/private/dmimpl.h>
5094 #undef __FUNCT__
5095 #define __FUNCT__ "TSSetDM"
5096 /*@
5097    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
5098 
5099    Logically Collective on TS and DM
5100 
5101    Input Parameters:
5102 +  ts - the ODE integrator object
5103 -  dm - the dm, cannot be NULL
5104 
5105    Level: intermediate
5106 
5107 
5108 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
5109 @*/
5110 PetscErrorCode  TSSetDM(TS ts,DM dm)
5111 {
5112   PetscErrorCode ierr;
5113   SNES           snes;
5114   DMTS           tsdm;
5115 
5116   PetscFunctionBegin;
5117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5118   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
5119   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
5120   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
5121     if (ts->dm->dmts && !dm->dmts) {
5122       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
5123       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
5124       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
5125         tsdm->originaldm = dm;
5126       }
5127     }
5128     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
5129   }
5130   ts->dm = dm;
5131 
5132   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5133   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
5134   PetscFunctionReturn(0);
5135 }
5136 
5137 #undef __FUNCT__
5138 #define __FUNCT__ "TSGetDM"
5139 /*@
5140    TSGetDM - Gets the DM that may be used by some preconditioners
5141 
5142    Not Collective
5143 
5144    Input Parameter:
5145 . ts - the preconditioner context
5146 
5147    Output Parameter:
5148 .  dm - the dm
5149 
5150    Level: intermediate
5151 
5152 
5153 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5154 @*/
5155 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5156 {
5157   PetscErrorCode ierr;
5158 
5159   PetscFunctionBegin;
5160   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5161   if (!ts->dm) {
5162     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5163     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5164   }
5165   *dm = ts->dm;
5166   PetscFunctionReturn(0);
5167 }
5168 
5169 #undef __FUNCT__
5170 #define __FUNCT__ "SNESTSFormFunction"
5171 /*@
5172    SNESTSFormFunction - Function to evaluate nonlinear residual
5173 
5174    Logically Collective on SNES
5175 
5176    Input Parameter:
5177 + snes - nonlinear solver
5178 . U - the current state at which to evaluate the residual
5179 - ctx - user context, must be a TS
5180 
5181    Output Parameter:
5182 . F - the nonlinear residual
5183 
5184    Notes:
5185    This function is not normally called by users and is automatically registered with the SNES used by TS.
5186    It is most frequently passed to MatFDColoringSetFunction().
5187 
5188    Level: advanced
5189 
5190 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5191 @*/
5192 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5193 {
5194   TS             ts = (TS)ctx;
5195   PetscErrorCode ierr;
5196 
5197   PetscFunctionBegin;
5198   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5199   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5200   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5201   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5202   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5203   PetscFunctionReturn(0);
5204 }
5205 
5206 #undef __FUNCT__
5207 #define __FUNCT__ "SNESTSFormJacobian"
5208 /*@
5209    SNESTSFormJacobian - Function to evaluate the Jacobian
5210 
5211    Collective on SNES
5212 
5213    Input Parameter:
5214 + snes - nonlinear solver
5215 . U - the current state at which to evaluate the residual
5216 - ctx - user context, must be a TS
5217 
5218    Output Parameter:
5219 + A - the Jacobian
5220 . B - the preconditioning matrix (may be the same as A)
5221 - flag - indicates any structure change in the matrix
5222 
5223    Notes:
5224    This function is not normally called by users and is automatically registered with the SNES used by TS.
5225 
5226    Level: developer
5227 
5228 .seealso: SNESSetJacobian()
5229 @*/
5230 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5231 {
5232   TS             ts = (TS)ctx;
5233   PetscErrorCode ierr;
5234 
5235   PetscFunctionBegin;
5236   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5237   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5238   PetscValidPointer(A,3);
5239   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5240   PetscValidPointer(B,4);
5241   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5242   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5243   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5244   PetscFunctionReturn(0);
5245 }
5246 
5247 #undef __FUNCT__
5248 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5249 /*@C
5250    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5251 
5252    Collective on TS
5253 
5254    Input Arguments:
5255 +  ts - time stepping context
5256 .  t - time at which to evaluate
5257 .  U - state at which to evaluate
5258 -  ctx - context
5259 
5260    Output Arguments:
5261 .  F - right hand side
5262 
5263    Level: intermediate
5264 
5265    Notes:
5266    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5267    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5268 
5269 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5270 @*/
5271 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5272 {
5273   PetscErrorCode ierr;
5274   Mat            Arhs,Brhs;
5275 
5276   PetscFunctionBegin;
5277   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5278   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5279   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5280   PetscFunctionReturn(0);
5281 }
5282 
5283 #undef __FUNCT__
5284 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5285 /*@C
5286    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5287 
5288    Collective on TS
5289 
5290    Input Arguments:
5291 +  ts - time stepping context
5292 .  t - time at which to evaluate
5293 .  U - state at which to evaluate
5294 -  ctx - context
5295 
5296    Output Arguments:
5297 +  A - pointer to operator
5298 .  B - pointer to preconditioning matrix
5299 -  flg - matrix structure flag
5300 
5301    Level: intermediate
5302 
5303    Notes:
5304    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5305 
5306 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5307 @*/
5308 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5309 {
5310   PetscFunctionBegin;
5311   PetscFunctionReturn(0);
5312 }
5313 
5314 #undef __FUNCT__
5315 #define __FUNCT__ "TSComputeIFunctionLinear"
5316 /*@C
5317    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5318 
5319    Collective on TS
5320 
5321    Input Arguments:
5322 +  ts - time stepping context
5323 .  t - time at which to evaluate
5324 .  U - state at which to evaluate
5325 .  Udot - time derivative of state vector
5326 -  ctx - context
5327 
5328    Output Arguments:
5329 .  F - left hand side
5330 
5331    Level: intermediate
5332 
5333    Notes:
5334    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
5335    user is required to write their own TSComputeIFunction.
5336    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5337    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5338 
5339    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5340 
5341 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5342 @*/
5343 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5344 {
5345   PetscErrorCode ierr;
5346   Mat            A,B;
5347 
5348   PetscFunctionBegin;
5349   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5350   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5351   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5352   PetscFunctionReturn(0);
5353 }
5354 
5355 #undef __FUNCT__
5356 #define __FUNCT__ "TSComputeIJacobianConstant"
5357 /*@C
5358    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5359 
5360    Collective on TS
5361 
5362    Input Arguments:
5363 +  ts - time stepping context
5364 .  t - time at which to evaluate
5365 .  U - state at which to evaluate
5366 .  Udot - time derivative of state vector
5367 .  shift - shift to apply
5368 -  ctx - context
5369 
5370    Output Arguments:
5371 +  A - pointer to operator
5372 .  B - pointer to preconditioning matrix
5373 -  flg - matrix structure flag
5374 
5375    Level: advanced
5376 
5377    Notes:
5378    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5379 
5380    It is only appropriate for problems of the form
5381 
5382 $     M Udot = F(U,t)
5383 
5384   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5385   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5386   an implicit operator of the form
5387 
5388 $    shift*M + J
5389 
5390   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
5391   a copy of M or reassemble it when requested.
5392 
5393 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5394 @*/
5395 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5396 {
5397   PetscErrorCode ierr;
5398 
5399   PetscFunctionBegin;
5400   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5401   ts->ijacobian.shift = shift;
5402   PetscFunctionReturn(0);
5403 }
5404 
5405 #undef __FUNCT__
5406 #define __FUNCT__ "TSGetEquationType"
5407 /*@
5408    TSGetEquationType - Gets the type of the equation that TS is solving.
5409 
5410    Not Collective
5411 
5412    Input Parameter:
5413 .  ts - the TS context
5414 
5415    Output Parameter:
5416 .  equation_type - see TSEquationType
5417 
5418    Level: beginner
5419 
5420 .keywords: TS, equation type
5421 
5422 .seealso: TSSetEquationType(), TSEquationType
5423 @*/
5424 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5425 {
5426   PetscFunctionBegin;
5427   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5428   PetscValidPointer(equation_type,2);
5429   *equation_type = ts->equation_type;
5430   PetscFunctionReturn(0);
5431 }
5432 
5433 #undef __FUNCT__
5434 #define __FUNCT__ "TSSetEquationType"
5435 /*@
5436    TSSetEquationType - Sets the type of the equation that TS is solving.
5437 
5438    Not Collective
5439 
5440    Input Parameter:
5441 +  ts - the TS context
5442 -  equation_type - see TSEquationType
5443 
5444    Level: advanced
5445 
5446 .keywords: TS, equation type
5447 
5448 .seealso: TSGetEquationType(), TSEquationType
5449 @*/
5450 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5451 {
5452   PetscFunctionBegin;
5453   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5454   ts->equation_type = equation_type;
5455   PetscFunctionReturn(0);
5456 }
5457 
5458 #undef __FUNCT__
5459 #define __FUNCT__ "TSGetConvergedReason"
5460 /*@
5461    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5462 
5463    Not Collective
5464 
5465    Input Parameter:
5466 .  ts - the TS context
5467 
5468    Output Parameter:
5469 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5470             manual pages for the individual convergence tests for complete lists
5471 
5472    Level: beginner
5473 
5474    Notes:
5475    Can only be called after the call to TSSolve() is complete.
5476 
5477 .keywords: TS, nonlinear, set, convergence, test
5478 
5479 .seealso: TSSetConvergenceTest(), TSConvergedReason
5480 @*/
5481 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5482 {
5483   PetscFunctionBegin;
5484   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5485   PetscValidPointer(reason,2);
5486   *reason = ts->reason;
5487   PetscFunctionReturn(0);
5488 }
5489 
5490 #undef __FUNCT__
5491 #define __FUNCT__ "TSSetConvergedReason"
5492 /*@
5493    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5494 
5495    Not Collective
5496 
5497    Input Parameter:
5498 +  ts - the TS context
5499 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5500             manual pages for the individual convergence tests for complete lists
5501 
5502    Level: advanced
5503 
5504    Notes:
5505    Can only be called during TSSolve() is active.
5506 
5507 .keywords: TS, nonlinear, set, convergence, test
5508 
5509 .seealso: TSConvergedReason
5510 @*/
5511 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5512 {
5513   PetscFunctionBegin;
5514   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5515   ts->reason = reason;
5516   PetscFunctionReturn(0);
5517 }
5518 
5519 #undef __FUNCT__
5520 #define __FUNCT__ "TSGetSolveTime"
5521 /*@
5522    TSGetSolveTime - Gets the time after a call to TSSolve()
5523 
5524    Not Collective
5525 
5526    Input Parameter:
5527 .  ts - the TS context
5528 
5529    Output Parameter:
5530 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5531 
5532    Level: beginner
5533 
5534    Notes:
5535    Can only be called after the call to TSSolve() is complete.
5536 
5537 .keywords: TS, nonlinear, set, convergence, test
5538 
5539 .seealso: TSSetConvergenceTest(), TSConvergedReason
5540 @*/
5541 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5542 {
5543   PetscFunctionBegin;
5544   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5545   PetscValidPointer(ftime,2);
5546   *ftime = ts->solvetime;
5547   PetscFunctionReturn(0);
5548 }
5549 
5550 #undef __FUNCT__
5551 #define __FUNCT__ "TSGetTotalSteps"
5552 /*@
5553    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5554 
5555    Not Collective
5556 
5557    Input Parameter:
5558 .  ts - the TS context
5559 
5560    Output Parameter:
5561 .  steps - the number of steps
5562 
5563    Level: beginner
5564 
5565    Notes:
5566    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5567 
5568 .keywords: TS, nonlinear, set, convergence, test
5569 
5570 .seealso: TSSetConvergenceTest(), TSConvergedReason
5571 @*/
5572 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5573 {
5574   PetscFunctionBegin;
5575   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5576   PetscValidPointer(steps,2);
5577   *steps = ts->total_steps;
5578   PetscFunctionReturn(0);
5579 }
5580 
5581 #undef __FUNCT__
5582 #define __FUNCT__ "TSGetSNESIterations"
5583 /*@
5584    TSGetSNESIterations - Gets the total number of nonlinear iterations
5585    used by the time integrator.
5586 
5587    Not Collective
5588 
5589    Input Parameter:
5590 .  ts - TS context
5591 
5592    Output Parameter:
5593 .  nits - number of nonlinear iterations
5594 
5595    Notes:
5596    This counter is reset to zero for each successive call to TSSolve().
5597 
5598    Level: intermediate
5599 
5600 .keywords: TS, get, number, nonlinear, iterations
5601 
5602 .seealso:  TSGetKSPIterations()
5603 @*/
5604 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5605 {
5606   PetscFunctionBegin;
5607   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5608   PetscValidIntPointer(nits,2);
5609   *nits = ts->snes_its;
5610   PetscFunctionReturn(0);
5611 }
5612 
5613 #undef __FUNCT__
5614 #define __FUNCT__ "TSGetKSPIterations"
5615 /*@
5616    TSGetKSPIterations - Gets the total number of linear iterations
5617    used by the time integrator.
5618 
5619    Not Collective
5620 
5621    Input Parameter:
5622 .  ts - TS context
5623 
5624    Output Parameter:
5625 .  lits - number of linear iterations
5626 
5627    Notes:
5628    This counter is reset to zero for each successive call to TSSolve().
5629 
5630    Level: intermediate
5631 
5632 .keywords: TS, get, number, linear, iterations
5633 
5634 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5635 @*/
5636 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5637 {
5638   PetscFunctionBegin;
5639   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5640   PetscValidIntPointer(lits,2);
5641   *lits = ts->ksp_its;
5642   PetscFunctionReturn(0);
5643 }
5644 
5645 #undef __FUNCT__
5646 #define __FUNCT__ "TSGetStepRejections"
5647 /*@
5648    TSGetStepRejections - Gets the total number of rejected steps.
5649 
5650    Not Collective
5651 
5652    Input Parameter:
5653 .  ts - TS context
5654 
5655    Output Parameter:
5656 .  rejects - number of steps rejected
5657 
5658    Notes:
5659    This counter is reset to zero for each successive call to TSSolve().
5660 
5661    Level: intermediate
5662 
5663 .keywords: TS, get, number
5664 
5665 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5666 @*/
5667 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5668 {
5669   PetscFunctionBegin;
5670   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5671   PetscValidIntPointer(rejects,2);
5672   *rejects = ts->reject;
5673   PetscFunctionReturn(0);
5674 }
5675 
5676 #undef __FUNCT__
5677 #define __FUNCT__ "TSGetSNESFailures"
5678 /*@
5679    TSGetSNESFailures - Gets the total number of failed SNES solves
5680 
5681    Not Collective
5682 
5683    Input Parameter:
5684 .  ts - TS context
5685 
5686    Output Parameter:
5687 .  fails - number of failed nonlinear solves
5688 
5689    Notes:
5690    This counter is reset to zero for each successive call to TSSolve().
5691 
5692    Level: intermediate
5693 
5694 .keywords: TS, get, number
5695 
5696 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5697 @*/
5698 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5699 {
5700   PetscFunctionBegin;
5701   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5702   PetscValidIntPointer(fails,2);
5703   *fails = ts->num_snes_failures;
5704   PetscFunctionReturn(0);
5705 }
5706 
5707 #undef __FUNCT__
5708 #define __FUNCT__ "TSSetMaxStepRejections"
5709 /*@
5710    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5711 
5712    Not Collective
5713 
5714    Input Parameter:
5715 +  ts - TS context
5716 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5717 
5718    Notes:
5719    The counter is reset to zero for each step
5720 
5721    Options Database Key:
5722  .  -ts_max_reject - Maximum number of step rejections before a step fails
5723 
5724    Level: intermediate
5725 
5726 .keywords: TS, set, maximum, number
5727 
5728 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5729 @*/
5730 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5731 {
5732   PetscFunctionBegin;
5733   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5734   ts->max_reject = rejects;
5735   PetscFunctionReturn(0);
5736 }
5737 
5738 #undef __FUNCT__
5739 #define __FUNCT__ "TSSetMaxSNESFailures"
5740 /*@
5741    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5742 
5743    Not Collective
5744 
5745    Input Parameter:
5746 +  ts - TS context
5747 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5748 
5749    Notes:
5750    The counter is reset to zero for each successive call to TSSolve().
5751 
5752    Options Database Key:
5753  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5754 
5755    Level: intermediate
5756 
5757 .keywords: TS, set, maximum, number
5758 
5759 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5760 @*/
5761 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5762 {
5763   PetscFunctionBegin;
5764   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5765   ts->max_snes_failures = fails;
5766   PetscFunctionReturn(0);
5767 }
5768 
5769 #undef __FUNCT__
5770 #define __FUNCT__ "TSSetErrorIfStepFails"
5771 /*@
5772    TSSetErrorIfStepFails - Error if no step succeeds
5773 
5774    Not Collective
5775 
5776    Input Parameter:
5777 +  ts - TS context
5778 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5779 
5780    Options Database Key:
5781  .  -ts_error_if_step_fails - Error if no step succeeds
5782 
5783    Level: intermediate
5784 
5785 .keywords: TS, set, error
5786 
5787 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5788 @*/
5789 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5790 {
5791   PetscFunctionBegin;
5792   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5793   ts->errorifstepfailed = err;
5794   PetscFunctionReturn(0);
5795 }
5796 
5797 #undef __FUNCT__
5798 #define __FUNCT__ "TSMonitorSolution"
5799 /*@C
5800    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
5801 
5802    Collective on TS
5803 
5804    Input Parameters:
5805 +  ts - the TS context
5806 .  step - current time-step
5807 .  ptime - current time
5808 .  u - current state
5809 -  vf - viewer and its format
5810 
5811    Level: intermediate
5812 
5813 .keywords: TS,  vector, monitor, view
5814 
5815 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5816 @*/
5817 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5818 {
5819   PetscErrorCode ierr;
5820 
5821   PetscFunctionBegin;
5822   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5823   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5824   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5825   PetscFunctionReturn(0);
5826 }
5827 
5828 #undef __FUNCT__
5829 #define __FUNCT__ "TSMonitorSolutionVTK"
5830 /*@C
5831    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5832 
5833    Collective on TS
5834 
5835    Input Parameters:
5836 +  ts - the TS context
5837 .  step - current time-step
5838 .  ptime - current time
5839 .  u - current state
5840 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5841 
5842    Level: intermediate
5843 
5844    Notes:
5845    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.
5846    These are named according to the file name template.
5847 
5848    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5849 
5850 .keywords: TS,  vector, monitor, view
5851 
5852 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5853 @*/
5854 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5855 {
5856   PetscErrorCode ierr;
5857   char           filename[PETSC_MAX_PATH_LEN];
5858   PetscViewer    viewer;
5859 
5860   PetscFunctionBegin;
5861   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5862   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5863   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5864   ierr = VecView(u,viewer);CHKERRQ(ierr);
5865   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5866   PetscFunctionReturn(0);
5867 }
5868 
5869 #undef __FUNCT__
5870 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5871 /*@C
5872    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5873 
5874    Collective on TS
5875 
5876    Input Parameters:
5877 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5878 
5879    Level: intermediate
5880 
5881    Note:
5882    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5883 
5884 .keywords: TS,  vector, monitor, view
5885 
5886 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5887 @*/
5888 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5889 {
5890   PetscErrorCode ierr;
5891 
5892   PetscFunctionBegin;
5893   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5894   PetscFunctionReturn(0);
5895 }
5896 
5897 #undef __FUNCT__
5898 #define __FUNCT__ "TSGetAdapt"
5899 /*@
5900    TSGetAdapt - Get the adaptive controller context for the current method
5901 
5902    Collective on TS if controller has not been created yet
5903 
5904    Input Arguments:
5905 .  ts - time stepping context
5906 
5907    Output Arguments:
5908 .  adapt - adaptive controller
5909 
5910    Level: intermediate
5911 
5912 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5913 @*/
5914 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5915 {
5916   PetscErrorCode ierr;
5917 
5918   PetscFunctionBegin;
5919   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5920   PetscValidPointer(adapt,2);
5921   if (!ts->adapt) {
5922     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5923     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5924     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5925   }
5926   *adapt = ts->adapt;
5927   PetscFunctionReturn(0);
5928 }
5929 
5930 #undef __FUNCT__
5931 #define __FUNCT__ "TSSetTolerances"
5932 /*@
5933    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5934 
5935    Logically Collective
5936 
5937    Input Arguments:
5938 +  ts - time integration context
5939 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5940 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5941 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5942 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5943 
5944    Options Database keys:
5945 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5946 -  -ts_atol <atol> Absolute tolerance for local truncation error
5947 
5948    Notes:
5949    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5950    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5951    computed only for the differential or the algebraic part then this can be done using the vector of
5952    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5953    differential part and infinity for the algebraic part, the LTE calculation will include only the
5954    differential variables.
5955 
5956    Level: beginner
5957 
5958 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5959 @*/
5960 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5961 {
5962   PetscErrorCode ierr;
5963 
5964   PetscFunctionBegin;
5965   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5966   if (vatol) {
5967     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5968     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5969     ts->vatol = vatol;
5970   }
5971   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5972   if (vrtol) {
5973     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5974     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5975     ts->vrtol = vrtol;
5976   }
5977   PetscFunctionReturn(0);
5978 }
5979 
5980 #undef __FUNCT__
5981 #define __FUNCT__ "TSGetTolerances"
5982 /*@
5983    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5984 
5985    Logically Collective
5986 
5987    Input Arguments:
5988 .  ts - time integration context
5989 
5990    Output Arguments:
5991 +  atol - scalar absolute tolerances, NULL to ignore
5992 .  vatol - vector of absolute tolerances, NULL to ignore
5993 .  rtol - scalar relative tolerances, NULL to ignore
5994 -  vrtol - vector of relative tolerances, NULL to ignore
5995 
5996    Level: beginner
5997 
5998 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5999 @*/
6000 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
6001 {
6002   PetscFunctionBegin;
6003   if (atol)  *atol  = ts->atol;
6004   if (vatol) *vatol = ts->vatol;
6005   if (rtol)  *rtol  = ts->rtol;
6006   if (vrtol) *vrtol = ts->vrtol;
6007   PetscFunctionReturn(0);
6008 }
6009 
6010 #undef __FUNCT__
6011 #define __FUNCT__ "TSErrorWeightedNorm2"
6012 /*@
6013    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
6014 
6015    Collective on TS
6016 
6017    Input Arguments:
6018 +  ts - time stepping context
6019 .  U - state vector, usually ts->vec_sol
6020 -  Y - state vector to be compared to U
6021 
6022    Output Arguments:
6023 .  norm - weighted norm, a value of 1.0 is considered small
6024 
6025    Level: developer
6026 
6027 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
6028 @*/
6029 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
6030 {
6031   PetscErrorCode    ierr;
6032   PetscInt          i,n,N,rstart;
6033   const PetscScalar *u,*y;
6034   PetscReal         sum,gsum;
6035   PetscReal         tol;
6036 
6037   PetscFunctionBegin;
6038   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6039   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
6040   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
6041   PetscValidType(U,2);
6042   PetscValidType(Y,3);
6043   PetscCheckSameComm(U,2,Y,3);
6044   PetscValidPointer(norm,4);
6045   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
6046 
6047   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
6048   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
6049   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
6050   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
6051   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
6052   sum  = 0.;
6053   if (ts->vatol && ts->vrtol) {
6054     const PetscScalar *atol,*rtol;
6055     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6056     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6057     for (i=0; i<n; i++) {
6058       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6059       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
6060     }
6061     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6062     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6063   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6064     const PetscScalar *atol;
6065     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6066     for (i=0; i<n; i++) {
6067       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6068       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
6069     }
6070     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6071   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6072     const PetscScalar *rtol;
6073     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6074     for (i=0; i<n; i++) {
6075       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6076       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
6077     }
6078     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6079   } else {                      /* scalar atol, scalar rtol */
6080     for (i=0; i<n; i++) {
6081       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6082       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
6083     }
6084   }
6085   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6086   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6087 
6088   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6089   *norm = PetscSqrtReal(gsum / N);
6090 
6091   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6092   PetscFunctionReturn(0);
6093 }
6094 
6095 #undef __FUNCT__
6096 #define __FUNCT__ "TSErrorWeightedNormInfinity"
6097 /*@
6098    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
6099 
6100    Collective on TS
6101 
6102    Input Arguments:
6103 +  ts - time stepping context
6104 .  U - state vector, usually ts->vec_sol
6105 -  Y - state vector to be compared to U
6106 
6107    Output Arguments:
6108 .  norm - weighted norm, a value of 1.0 is considered small
6109 
6110    Level: developer
6111 
6112 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
6113 @*/
6114 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
6115 {
6116   PetscErrorCode    ierr;
6117   PetscInt          i,n,N,rstart,k;
6118   const PetscScalar *u,*y;
6119   PetscReal         max,gmax;
6120   PetscReal         tol;
6121 
6122   PetscFunctionBegin;
6123   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6124   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
6125   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
6126   PetscValidType(U,2);
6127   PetscValidType(Y,3);
6128   PetscCheckSameComm(U,2,Y,3);
6129   PetscValidPointer(norm,4);
6130   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
6131 
6132   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
6133   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
6134   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
6135   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
6136   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
6137   if (ts->vatol && ts->vrtol) {
6138     const PetscScalar *atol,*rtol;
6139     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6140     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6141     k = 0;
6142     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6143     max = PetscAbsScalar(y[k] - u[k]) / tol;
6144     for (i=1; i<n; i++) {
6145       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6146       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6147     }
6148     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6149     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6150   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6151     const PetscScalar *atol;
6152     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6153     k = 0;
6154     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6155     max = PetscAbsScalar(y[k] - u[k]) / tol;
6156     for (i=1; i<n; i++) {
6157       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6158       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6159     }
6160     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6161   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6162     const PetscScalar *rtol;
6163     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6164     k = 0;
6165     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6166     max = PetscAbsScalar(y[k] - u[k]) / tol;
6167     for (i=1; i<n; i++) {
6168       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6169       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6170     }
6171     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6172   } else {                      /* scalar atol, scalar rtol */
6173     k = 0;
6174     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6175     max = PetscAbsScalar(y[k] - u[k]) / tol;
6176     for (i=1; i<n; i++) {
6177       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6178       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6179     }
6180   }
6181   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6182   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6183 
6184   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6185   *norm = gmax;
6186 
6187   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6188   PetscFunctionReturn(0);
6189 }
6190 
6191 #undef __FUNCT__
6192 #define __FUNCT__ "TSErrorWeightedNorm"
6193 /*@
6194    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6195 
6196    Collective on TS
6197 
6198    Input Arguments:
6199 +  ts - time stepping context
6200 .  U - state vector, usually ts->vec_sol
6201 .  Y - state vector to be compared to U
6202 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6203 
6204    Output Arguments:
6205 .  norm - weighted norm, a value of 1.0 is considered small
6206 
6207 
6208    Options Database Keys:
6209 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6210 
6211    Level: developer
6212 
6213 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6214 @*/
6215 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
6216 {
6217   PetscErrorCode ierr;
6218 
6219   PetscFunctionBegin;
6220   if (wnormtype == NORM_2) {
6221     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6222   } else if(wnormtype == NORM_INFINITY) {
6223     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6224   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6225   PetscFunctionReturn(0);
6226 }
6227 
6228 #undef __FUNCT__
6229 #define __FUNCT__ "TSSetCFLTimeLocal"
6230 /*@
6231    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6232 
6233    Logically Collective on TS
6234 
6235    Input Arguments:
6236 +  ts - time stepping context
6237 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6238 
6239    Note:
6240    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6241 
6242    Level: intermediate
6243 
6244 .seealso: TSGetCFLTime(), TSADAPTCFL
6245 @*/
6246 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6247 {
6248   PetscFunctionBegin;
6249   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6250   ts->cfltime_local = cfltime;
6251   ts->cfltime       = -1.;
6252   PetscFunctionReturn(0);
6253 }
6254 
6255 #undef __FUNCT__
6256 #define __FUNCT__ "TSGetCFLTime"
6257 /*@
6258    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6259 
6260    Collective on TS
6261 
6262    Input Arguments:
6263 .  ts - time stepping context
6264 
6265    Output Arguments:
6266 .  cfltime - maximum stable time step for forward Euler
6267 
6268    Level: advanced
6269 
6270 .seealso: TSSetCFLTimeLocal()
6271 @*/
6272 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6273 {
6274   PetscErrorCode ierr;
6275 
6276   PetscFunctionBegin;
6277   if (ts->cfltime < 0) {
6278     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6279   }
6280   *cfltime = ts->cfltime;
6281   PetscFunctionReturn(0);
6282 }
6283 
6284 #undef __FUNCT__
6285 #define __FUNCT__ "TSVISetVariableBounds"
6286 /*@
6287    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6288 
6289    Input Parameters:
6290 .  ts   - the TS context.
6291 .  xl   - lower bound.
6292 .  xu   - upper bound.
6293 
6294    Notes:
6295    If this routine is not called then the lower and upper bounds are set to
6296    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6297 
6298    Level: advanced
6299 
6300 @*/
6301 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6302 {
6303   PetscErrorCode ierr;
6304   SNES           snes;
6305 
6306   PetscFunctionBegin;
6307   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6308   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6309   PetscFunctionReturn(0);
6310 }
6311 
6312 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6313 #include <mex.h>
6314 
6315 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6316 
6317 #undef __FUNCT__
6318 #define __FUNCT__ "TSComputeFunction_Matlab"
6319 /*
6320    TSComputeFunction_Matlab - Calls the function that has been set with
6321                          TSSetFunctionMatlab().
6322 
6323    Collective on TS
6324 
6325    Input Parameters:
6326 +  snes - the TS context
6327 -  u - input vector
6328 
6329    Output Parameter:
6330 .  y - function vector, as set by TSSetFunction()
6331 
6332    Notes:
6333    TSComputeFunction() is typically used within nonlinear solvers
6334    implementations, so most users would not generally call this routine
6335    themselves.
6336 
6337    Level: developer
6338 
6339 .keywords: TS, nonlinear, compute, function
6340 
6341 .seealso: TSSetFunction(), TSGetFunction()
6342 */
6343 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6344 {
6345   PetscErrorCode  ierr;
6346   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6347   int             nlhs  = 1,nrhs = 7;
6348   mxArray         *plhs[1],*prhs[7];
6349   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6350 
6351   PetscFunctionBegin;
6352   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6353   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6354   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6355   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6356   PetscCheckSameComm(snes,1,u,3);
6357   PetscCheckSameComm(snes,1,y,5);
6358 
6359   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6360   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6361   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6362   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6363 
6364   prhs[0] =  mxCreateDoubleScalar((double)ls);
6365   prhs[1] =  mxCreateDoubleScalar(time);
6366   prhs[2] =  mxCreateDoubleScalar((double)lx);
6367   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6368   prhs[4] =  mxCreateDoubleScalar((double)ly);
6369   prhs[5] =  mxCreateString(sctx->funcname);
6370   prhs[6] =  sctx->ctx;
6371   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6372   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6373   mxDestroyArray(prhs[0]);
6374   mxDestroyArray(prhs[1]);
6375   mxDestroyArray(prhs[2]);
6376   mxDestroyArray(prhs[3]);
6377   mxDestroyArray(prhs[4]);
6378   mxDestroyArray(prhs[5]);
6379   mxDestroyArray(plhs[0]);
6380   PetscFunctionReturn(0);
6381 }
6382 
6383 
6384 #undef __FUNCT__
6385 #define __FUNCT__ "TSSetFunctionMatlab"
6386 /*
6387    TSSetFunctionMatlab - Sets the function evaluation routine and function
6388    vector for use by the TS routines in solving ODEs
6389    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6390 
6391    Logically Collective on TS
6392 
6393    Input Parameters:
6394 +  ts - the TS context
6395 -  func - function evaluation routine
6396 
6397    Calling sequence of func:
6398 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6399 
6400    Level: beginner
6401 
6402 .keywords: TS, nonlinear, set, function
6403 
6404 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6405 */
6406 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6407 {
6408   PetscErrorCode  ierr;
6409   TSMatlabContext *sctx;
6410 
6411   PetscFunctionBegin;
6412   /* currently sctx is memory bleed */
6413   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6414   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6415   /*
6416      This should work, but it doesn't
6417   sctx->ctx = ctx;
6418   mexMakeArrayPersistent(sctx->ctx);
6419   */
6420   sctx->ctx = mxDuplicateArray(ctx);
6421 
6422   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6423   PetscFunctionReturn(0);
6424 }
6425 
6426 #undef __FUNCT__
6427 #define __FUNCT__ "TSComputeJacobian_Matlab"
6428 /*
6429    TSComputeJacobian_Matlab - Calls the function that has been set with
6430                          TSSetJacobianMatlab().
6431 
6432    Collective on TS
6433 
6434    Input Parameters:
6435 +  ts - the TS context
6436 .  u - input vector
6437 .  A, B - the matrices
6438 -  ctx - user context
6439 
6440    Level: developer
6441 
6442 .keywords: TS, nonlinear, compute, function
6443 
6444 .seealso: TSSetFunction(), TSGetFunction()
6445 @*/
6446 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6447 {
6448   PetscErrorCode  ierr;
6449   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6450   int             nlhs  = 2,nrhs = 9;
6451   mxArray         *plhs[2],*prhs[9];
6452   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6453 
6454   PetscFunctionBegin;
6455   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6456   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6457 
6458   /* call Matlab function in ctx with arguments u and y */
6459 
6460   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6461   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6462   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6463   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6464   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6465 
6466   prhs[0] =  mxCreateDoubleScalar((double)ls);
6467   prhs[1] =  mxCreateDoubleScalar((double)time);
6468   prhs[2] =  mxCreateDoubleScalar((double)lx);
6469   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6470   prhs[4] =  mxCreateDoubleScalar((double)shift);
6471   prhs[5] =  mxCreateDoubleScalar((double)lA);
6472   prhs[6] =  mxCreateDoubleScalar((double)lB);
6473   prhs[7] =  mxCreateString(sctx->funcname);
6474   prhs[8] =  sctx->ctx;
6475   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6476   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6477   mxDestroyArray(prhs[0]);
6478   mxDestroyArray(prhs[1]);
6479   mxDestroyArray(prhs[2]);
6480   mxDestroyArray(prhs[3]);
6481   mxDestroyArray(prhs[4]);
6482   mxDestroyArray(prhs[5]);
6483   mxDestroyArray(prhs[6]);
6484   mxDestroyArray(prhs[7]);
6485   mxDestroyArray(plhs[0]);
6486   mxDestroyArray(plhs[1]);
6487   PetscFunctionReturn(0);
6488 }
6489 
6490 
6491 #undef __FUNCT__
6492 #define __FUNCT__ "TSSetJacobianMatlab"
6493 /*
6494    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6495    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
6496 
6497    Logically Collective on TS
6498 
6499    Input Parameters:
6500 +  ts - the TS context
6501 .  A,B - Jacobian matrices
6502 .  func - function evaluation routine
6503 -  ctx - user context
6504 
6505    Calling sequence of func:
6506 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6507 
6508 
6509    Level: developer
6510 
6511 .keywords: TS, nonlinear, set, function
6512 
6513 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6514 */
6515 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6516 {
6517   PetscErrorCode  ierr;
6518   TSMatlabContext *sctx;
6519 
6520   PetscFunctionBegin;
6521   /* currently sctx is memory bleed */
6522   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6523   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6524   /*
6525      This should work, but it doesn't
6526   sctx->ctx = ctx;
6527   mexMakeArrayPersistent(sctx->ctx);
6528   */
6529   sctx->ctx = mxDuplicateArray(ctx);
6530 
6531   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6532   PetscFunctionReturn(0);
6533 }
6534 
6535 #undef __FUNCT__
6536 #define __FUNCT__ "TSMonitor_Matlab"
6537 /*
6538    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6539 
6540    Collective on TS
6541 
6542 .seealso: TSSetFunction(), TSGetFunction()
6543 @*/
6544 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6545 {
6546   PetscErrorCode  ierr;
6547   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6548   int             nlhs  = 1,nrhs = 6;
6549   mxArray         *plhs[1],*prhs[6];
6550   long long int   lx = 0,ls = 0;
6551 
6552   PetscFunctionBegin;
6553   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6554   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6555 
6556   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6557   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6558 
6559   prhs[0] =  mxCreateDoubleScalar((double)ls);
6560   prhs[1] =  mxCreateDoubleScalar((double)it);
6561   prhs[2] =  mxCreateDoubleScalar((double)time);
6562   prhs[3] =  mxCreateDoubleScalar((double)lx);
6563   prhs[4] =  mxCreateString(sctx->funcname);
6564   prhs[5] =  sctx->ctx;
6565   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6566   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6567   mxDestroyArray(prhs[0]);
6568   mxDestroyArray(prhs[1]);
6569   mxDestroyArray(prhs[2]);
6570   mxDestroyArray(prhs[3]);
6571   mxDestroyArray(prhs[4]);
6572   mxDestroyArray(plhs[0]);
6573   PetscFunctionReturn(0);
6574 }
6575 
6576 
6577 #undef __FUNCT__
6578 #define __FUNCT__ "TSMonitorSetMatlab"
6579 /*
6580    TSMonitorSetMatlab - Sets the monitor function from Matlab
6581 
6582    Level: developer
6583 
6584 .keywords: TS, nonlinear, set, function
6585 
6586 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6587 */
6588 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6589 {
6590   PetscErrorCode  ierr;
6591   TSMatlabContext *sctx;
6592 
6593   PetscFunctionBegin;
6594   /* currently sctx is memory bleed */
6595   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6596   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6597   /*
6598      This should work, but it doesn't
6599   sctx->ctx = ctx;
6600   mexMakeArrayPersistent(sctx->ctx);
6601   */
6602   sctx->ctx = mxDuplicateArray(ctx);
6603 
6604   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6605   PetscFunctionReturn(0);
6606 }
6607 #endif
6608 
6609 #undef __FUNCT__
6610 #define __FUNCT__ "TSMonitorLGSolution"
6611 /*@C
6612    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6613        in a time based line graph
6614 
6615    Collective on TS
6616 
6617    Input Parameters:
6618 +  ts - the TS context
6619 .  step - current time-step
6620 .  ptime - current time
6621 .  u - current solution
6622 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6623 
6624    Options Database:
6625 .   -ts_monitor_lg_solution_variables
6626 
6627    Level: intermediate
6628 
6629    Notes: Each process in a parallel run displays its component solutions in a separate window
6630 
6631 .keywords: TS,  vector, monitor, view
6632 
6633 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6634            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6635            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6636            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6637 @*/
6638 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6639 {
6640   PetscErrorCode    ierr;
6641   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6642   const PetscScalar *yy;
6643   Vec               v;
6644 
6645   PetscFunctionBegin;
6646   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6647   if (!step) {
6648     PetscDrawAxis axis;
6649     PetscInt      dim;
6650     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6651     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6652     if (!ctx->names) {
6653       PetscBool flg;
6654       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6655       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6656       if (flg) {
6657         PetscInt i,n;
6658         char     **names;
6659         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6660         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6661         for (i=0; i<n; i++) {
6662           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6663           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6664         }
6665         names[n] = NULL;
6666         ctx->names = names;
6667       }
6668     }
6669     if (ctx->names && !ctx->displaynames) {
6670       char      **displaynames;
6671       PetscBool flg;
6672       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6673       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6674       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6675       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6676       if (flg) {
6677         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6678       }
6679       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6680     }
6681     if (ctx->displaynames) {
6682       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6683       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6684     } else if (ctx->names) {
6685       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6686       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6687       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6688     } else {
6689       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6690       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6691     }
6692     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6693   }
6694 
6695   if (!ctx->transform) v = u;
6696   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6697   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6698   if (ctx->displaynames) {
6699     PetscInt i;
6700     for (i=0; i<ctx->ndisplayvariables; i++)
6701       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6702     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6703   } else {
6704 #if defined(PETSC_USE_COMPLEX)
6705     PetscInt  i,n;
6706     PetscReal *yreal;
6707     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6708     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6709     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6710     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6711     ierr = PetscFree(yreal);CHKERRQ(ierr);
6712 #else
6713     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6714 #endif
6715   }
6716   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6717   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6718 
6719   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6720     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6721     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6722   }
6723   PetscFunctionReturn(0);
6724 }
6725 
6726 
6727 #undef __FUNCT__
6728 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6729 /*@C
6730    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6731 
6732    Collective on TS
6733 
6734    Input Parameters:
6735 +  ts - the TS context
6736 -  names - the names of the components, final string must be NULL
6737 
6738    Level: intermediate
6739 
6740    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6741 
6742 .keywords: TS,  vector, monitor, view
6743 
6744 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6745 @*/
6746 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6747 {
6748   PetscErrorCode    ierr;
6749   PetscInt          i;
6750 
6751   PetscFunctionBegin;
6752   for (i=0; i<ts->numbermonitors; i++) {
6753     if (ts->monitor[i] == TSMonitorLGSolution) {
6754       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6755       break;
6756     }
6757   }
6758   PetscFunctionReturn(0);
6759 }
6760 
6761 #undef __FUNCT__
6762 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6763 /*@C
6764    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6765 
6766    Collective on TS
6767 
6768    Input Parameters:
6769 +  ts - the TS context
6770 -  names - the names of the components, final string must be NULL
6771 
6772    Level: intermediate
6773 
6774 .keywords: TS,  vector, monitor, view
6775 
6776 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6777 @*/
6778 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6779 {
6780   PetscErrorCode    ierr;
6781 
6782   PetscFunctionBegin;
6783   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6784   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6785   PetscFunctionReturn(0);
6786 }
6787 
6788 #undef __FUNCT__
6789 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6790 /*@C
6791    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6792 
6793    Collective on TS
6794 
6795    Input Parameter:
6796 .  ts - the TS context
6797 
6798    Output Parameter:
6799 .  names - the names of the components, final string must be NULL
6800 
6801    Level: intermediate
6802 
6803    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6804 
6805 .keywords: TS,  vector, monitor, view
6806 
6807 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6808 @*/
6809 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6810 {
6811   PetscInt       i;
6812 
6813   PetscFunctionBegin;
6814   *names = NULL;
6815   for (i=0; i<ts->numbermonitors; i++) {
6816     if (ts->monitor[i] == TSMonitorLGSolution) {
6817       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6818       *names = (const char *const *)ctx->names;
6819       break;
6820     }
6821   }
6822   PetscFunctionReturn(0);
6823 }
6824 
6825 #undef __FUNCT__
6826 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6827 /*@C
6828    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6829 
6830    Collective on TS
6831 
6832    Input Parameters:
6833 +  ctx - the TSMonitorLG context
6834 .  displaynames - the names of the components, final string must be NULL
6835 
6836    Level: intermediate
6837 
6838 .keywords: TS,  vector, monitor, view
6839 
6840 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6841 @*/
6842 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6843 {
6844   PetscInt          j = 0,k;
6845   PetscErrorCode    ierr;
6846 
6847   PetscFunctionBegin;
6848   if (!ctx->names) PetscFunctionReturn(0);
6849   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6850   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6851   while (displaynames[j]) j++;
6852   ctx->ndisplayvariables = j;
6853   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6854   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6855   j = 0;
6856   while (displaynames[j]) {
6857     k = 0;
6858     while (ctx->names[k]) {
6859       PetscBool flg;
6860       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6861       if (flg) {
6862         ctx->displayvariables[j] = k;
6863         break;
6864       }
6865       k++;
6866     }
6867     j++;
6868   }
6869   PetscFunctionReturn(0);
6870 }
6871 
6872 
6873 #undef __FUNCT__
6874 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6875 /*@C
6876    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6877 
6878    Collective on TS
6879 
6880    Input Parameters:
6881 +  ts - the TS context
6882 .  displaynames - the names of the components, final string must be NULL
6883 
6884    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6885 
6886    Level: intermediate
6887 
6888 .keywords: TS,  vector, monitor, view
6889 
6890 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6891 @*/
6892 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6893 {
6894   PetscInt          i;
6895   PetscErrorCode    ierr;
6896 
6897   PetscFunctionBegin;
6898   for (i=0; i<ts->numbermonitors; i++) {
6899     if (ts->monitor[i] == TSMonitorLGSolution) {
6900       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6901       break;
6902     }
6903   }
6904   PetscFunctionReturn(0);
6905 }
6906 
6907 #undef __FUNCT__
6908 #define __FUNCT__ "TSMonitorLGSetTransform"
6909 /*@C
6910    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6911 
6912    Collective on TS
6913 
6914    Input Parameters:
6915 +  ts - the TS context
6916 .  transform - the transform function
6917 .  destroy - function to destroy the optional context
6918 -  ctx - optional context used by transform function
6919 
6920    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6921 
6922    Level: intermediate
6923 
6924 .keywords: TS,  vector, monitor, view
6925 
6926 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6927 @*/
6928 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6929 {
6930   PetscInt          i;
6931   PetscErrorCode    ierr;
6932 
6933   PetscFunctionBegin;
6934   for (i=0; i<ts->numbermonitors; i++) {
6935     if (ts->monitor[i] == TSMonitorLGSolution) {
6936       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6937     }
6938   }
6939   PetscFunctionReturn(0);
6940 }
6941 
6942 #undef __FUNCT__
6943 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6944 /*@C
6945    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6946 
6947    Collective on TSLGCtx
6948 
6949    Input Parameters:
6950 +  ts - the TS context
6951 .  transform - the transform function
6952 .  destroy - function to destroy the optional context
6953 -  ctx - optional context used by transform function
6954 
6955    Level: intermediate
6956 
6957 .keywords: TS,  vector, monitor, view
6958 
6959 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6960 @*/
6961 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6962 {
6963   PetscFunctionBegin;
6964   ctx->transform    = transform;
6965   ctx->transformdestroy = destroy;
6966   ctx->transformctx = tctx;
6967   PetscFunctionReturn(0);
6968 }
6969 
6970 #undef __FUNCT__
6971 #define __FUNCT__ "TSMonitorLGError"
6972 /*@C
6973    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6974        in a time based line graph
6975 
6976    Collective on TS
6977 
6978    Input Parameters:
6979 +  ts - the TS context
6980 .  step - current time-step
6981 .  ptime - current time
6982 .  u - current solution
6983 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6984 
6985    Level: intermediate
6986 
6987    Notes: Each process in a parallel run displays its component errors in a separate window
6988 
6989    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6990 
6991    Options Database Keys:
6992 .  -ts_monitor_lg_error - create a graphical monitor of error history
6993 
6994 .keywords: TS,  vector, monitor, view
6995 
6996 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6997 @*/
6998 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6999 {
7000   PetscErrorCode    ierr;
7001   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
7002   const PetscScalar *yy;
7003   Vec               y;
7004 
7005   PetscFunctionBegin;
7006   if (!step) {
7007     PetscDrawAxis axis;
7008     PetscInt      dim;
7009     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
7010     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
7011     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
7012     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
7013     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
7014   }
7015   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
7016   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
7017   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
7018   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
7019 #if defined(PETSC_USE_COMPLEX)
7020   {
7021     PetscReal *yreal;
7022     PetscInt  i,n;
7023     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
7024     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
7025     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
7026     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
7027     ierr = PetscFree(yreal);CHKERRQ(ierr);
7028   }
7029 #else
7030   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
7031 #endif
7032   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
7033   ierr = VecDestroy(&y);CHKERRQ(ierr);
7034   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
7035     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
7036     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
7037   }
7038   PetscFunctionReturn(0);
7039 }
7040 
7041 #undef __FUNCT__
7042 #define __FUNCT__ "TSMonitorLGSNESIterations"
7043 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
7044 {
7045   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
7046   PetscReal      x   = ptime,y;
7047   PetscErrorCode ierr;
7048   PetscInt       its;
7049 
7050   PetscFunctionBegin;
7051   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
7052   if (!n) {
7053     PetscDrawAxis axis;
7054     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
7055     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
7056     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
7057     ctx->snes_its = 0;
7058   }
7059   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
7060   y    = its - ctx->snes_its;
7061   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
7062   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
7063     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
7064     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
7065   }
7066   ctx->snes_its = its;
7067   PetscFunctionReturn(0);
7068 }
7069 
7070 #undef __FUNCT__
7071 #define __FUNCT__ "TSMonitorLGKSPIterations"
7072 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
7073 {
7074   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
7075   PetscReal      x   = ptime,y;
7076   PetscErrorCode ierr;
7077   PetscInt       its;
7078 
7079   PetscFunctionBegin;
7080   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
7081   if (!n) {
7082     PetscDrawAxis axis;
7083     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
7084     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
7085     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
7086     ctx->ksp_its = 0;
7087   }
7088   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
7089   y    = its - ctx->ksp_its;
7090   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
7091   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
7092     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
7093     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
7094   }
7095   ctx->ksp_its = its;
7096   PetscFunctionReturn(0);
7097 }
7098 
7099 #undef __FUNCT__
7100 #define __FUNCT__ "TSComputeLinearStability"
7101 /*@
7102    TSComputeLinearStability - computes the linear stability function at a point
7103 
7104    Collective on TS and Vec
7105 
7106    Input Parameters:
7107 +  ts - the TS context
7108 -  xr,xi - real and imaginary part of input arguments
7109 
7110    Output Parameters:
7111 .  yr,yi - real and imaginary part of function value
7112 
7113    Level: developer
7114 
7115 .keywords: TS, compute
7116 
7117 .seealso: TSSetRHSFunction(), TSComputeIFunction()
7118 @*/
7119 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
7120 {
7121   PetscErrorCode ierr;
7122 
7123   PetscFunctionBegin;
7124   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7125   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
7126   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
7127   PetscFunctionReturn(0);
7128 }
7129 
7130 /* ------------------------------------------------------------------------*/
7131 #undef __FUNCT__
7132 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
7133 /*@C
7134    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
7135 
7136    Collective on TS
7137 
7138    Input Parameters:
7139 .  ts  - the ODE solver object
7140 
7141    Output Parameter:
7142 .  ctx - the context
7143 
7144    Level: intermediate
7145 
7146 .keywords: TS, monitor, line graph, residual, seealso
7147 
7148 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7149 
7150 @*/
7151 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7152 {
7153   PetscErrorCode ierr;
7154 
7155   PetscFunctionBegin;
7156   ierr = PetscNew(ctx);CHKERRQ(ierr);
7157   PetscFunctionReturn(0);
7158 }
7159 
7160 #undef __FUNCT__
7161 #define __FUNCT__ "TSMonitorEnvelope"
7162 /*@C
7163    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7164 
7165    Collective on TS
7166 
7167    Input Parameters:
7168 +  ts - the TS context
7169 .  step - current time-step
7170 .  ptime - current time
7171 .  u  - current solution
7172 -  dctx - the envelope context
7173 
7174    Options Database:
7175 .  -ts_monitor_envelope
7176 
7177    Level: intermediate
7178 
7179    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7180 
7181 .keywords: TS,  vector, monitor, view
7182 
7183 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7184 @*/
7185 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7186 {
7187   PetscErrorCode       ierr;
7188   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7189 
7190   PetscFunctionBegin;
7191   if (!ctx->max) {
7192     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7193     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7194     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7195     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7196   } else {
7197     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7198     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7199   }
7200   PetscFunctionReturn(0);
7201 }
7202 
7203 
7204 #undef __FUNCT__
7205 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7206 /*@C
7207    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7208 
7209    Collective on TS
7210 
7211    Input Parameter:
7212 .  ts - the TS context
7213 
7214    Output Parameter:
7215 +  max - the maximum values
7216 -  min - the minimum values
7217 
7218    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7219 
7220    Level: intermediate
7221 
7222 .keywords: TS,  vector, monitor, view
7223 
7224 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7225 @*/
7226 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7227 {
7228   PetscInt i;
7229 
7230   PetscFunctionBegin;
7231   if (max) *max = NULL;
7232   if (min) *min = NULL;
7233   for (i=0; i<ts->numbermonitors; i++) {
7234     if (ts->monitor[i] == TSMonitorEnvelope) {
7235       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7236       if (max) *max = ctx->max;
7237       if (min) *min = ctx->min;
7238       break;
7239     }
7240   }
7241   PetscFunctionReturn(0);
7242 }
7243 
7244 #undef __FUNCT__
7245 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7246 /*@C
7247    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7248 
7249    Collective on TSMonitorEnvelopeCtx
7250 
7251    Input Parameter:
7252 .  ctx - the monitor context
7253 
7254    Level: intermediate
7255 
7256 .keywords: TS, monitor, line graph, destroy
7257 
7258 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7259 @*/
7260 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7261 {
7262   PetscErrorCode ierr;
7263 
7264   PetscFunctionBegin;
7265   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7266   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7267   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7268   PetscFunctionReturn(0);
7269 }
7270 
7271 #undef __FUNCT__
7272 #define __FUNCT__ "TSRollBack"
7273 /*@
7274    TSRollBack - Rolls back one time step
7275 
7276    Collective on TS
7277 
7278    Input Parameter:
7279 .  ts - the TS context obtained from TSCreate()
7280 
7281    Level: advanced
7282 
7283 .keywords: TS, timestep, rollback
7284 
7285 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7286 @*/
7287 PetscErrorCode  TSRollBack(TS ts)
7288 {
7289   PetscErrorCode ierr;
7290 
7291   PetscFunctionBegin;
7292   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7293   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7294   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7295   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7296   ts->time_step = ts->ptime - ts->ptime_prev;
7297   ts->ptime = ts->ptime_prev;
7298   ts->ptime_prev = ts->ptime_prev_rollback;
7299   ts->steps--; ts->total_steps--;
7300   ts->steprollback = PETSC_TRUE;
7301   PetscFunctionReturn(0);
7302 }
7303 
7304 #undef __FUNCT__
7305 #define __FUNCT__ "TSGetStages"
7306 /*@
7307    TSGetStages - Get the number of stages and stage values
7308 
7309    Input Parameter:
7310 .  ts - the TS context obtained from TSCreate()
7311 
7312    Level: advanced
7313 
7314 .keywords: TS, getstages
7315 
7316 .seealso: TSCreate()
7317 @*/
7318 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7319 {
7320   PetscErrorCode ierr;
7321 
7322   PetscFunctionBegin;
7323   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7324   PetscValidPointer(ns,2);
7325 
7326   if (!ts->ops->getstages) *ns=0;
7327   else {
7328     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7329   }
7330   PetscFunctionReturn(0);
7331 }
7332 
7333 #undef __FUNCT__
7334 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7335 /*@C
7336   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7337 
7338   Collective on SNES
7339 
7340   Input Parameters:
7341 + ts - the TS context
7342 . t - current timestep
7343 . U - state vector
7344 . Udot - time derivative of state vector
7345 . shift - shift to apply, see note below
7346 - ctx - an optional user context
7347 
7348   Output Parameters:
7349 + J - Jacobian matrix (not altered in this routine)
7350 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7351 
7352   Level: intermediate
7353 
7354   Notes:
7355   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7356 
7357   dF/dU + shift*dF/dUdot
7358 
7359   Most users should not need to explicitly call this routine, as it
7360   is used internally within the nonlinear solvers.
7361 
7362   This will first try to get the coloring from the DM.  If the DM type has no coloring
7363   routine, then it will try to get the coloring from the matrix.  This requires that the
7364   matrix have nonzero entries precomputed.
7365 
7366 .keywords: TS, finite differences, Jacobian, coloring, sparse
7367 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7368 @*/
7369 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7370 {
7371   SNES           snes;
7372   MatFDColoring  color;
7373   PetscBool      hascolor, matcolor = PETSC_FALSE;
7374   PetscErrorCode ierr;
7375 
7376   PetscFunctionBegin;
7377   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7378   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7379   if (!color) {
7380     DM         dm;
7381     ISColoring iscoloring;
7382 
7383     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7384     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7385     if (hascolor && !matcolor) {
7386       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7387       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7388       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7389       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7390       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7391       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7392     } else {
7393       MatColoring mc;
7394 
7395       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7396       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7397       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7398       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7399       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7400       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7401       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7402       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7403       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7404       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7405       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7406     }
7407     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7408     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7409   }
7410   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7411   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7412   if (J != B) {
7413     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7414     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7415   }
7416   PetscFunctionReturn(0);
7417 }
7418 
7419 #undef __FUNCT__
7420 #define __FUNCT__ "TSSetFunctionDomainError"
7421 /*@
7422     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7423 
7424     Input Parameters:
7425     ts - the TS context
7426     func - function called within TSFunctionDomainError
7427 
7428     Level: intermediate
7429 
7430 .keywords: TS, state, domain
7431 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7432 @*/
7433 
7434 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7435 {
7436   PetscFunctionBegin;
7437   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7438   ts->functiondomainerror = func;
7439   PetscFunctionReturn(0);
7440 }
7441 
7442 #undef __FUNCT__
7443 #define __FUNCT__ "TSFunctionDomainError"
7444 /*@
7445     TSFunctionDomainError - Check if the current state is valid
7446 
7447     Input Parameters:
7448     ts - the TS context
7449     stagetime - time of the simulation
7450     Y - state vector to check.
7451 
7452     Output Parameter:
7453     accept - Set to PETSC_FALSE if the current state vector is valid.
7454 
7455     Note:
7456     This function should be used to ensure the state is in a valid part of the space.
7457     For example, one can ensure here all values are positive.
7458 
7459     Level: advanced
7460 @*/
7461 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7462 {
7463   PetscErrorCode ierr;
7464 
7465   PetscFunctionBegin;
7466 
7467   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7468   *accept = PETSC_TRUE;
7469   if (ts->functiondomainerror) {
7470     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7471   }
7472   PetscFunctionReturn(0);
7473 }
7474 
7475 #undef  __FUNCT__
7476 #define __FUNCT__ "TSClone"
7477 /*@C
7478   TSClone - This function clones a time step object.
7479 
7480   Collective on MPI_Comm
7481 
7482   Input Parameter:
7483 . tsin    - The input TS
7484 
7485   Output Parameter:
7486 . tsout   - The output TS (cloned)
7487 
7488   Notes:
7489   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.
7490 
7491   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);
7492 
7493   Level: developer
7494 
7495 .keywords: TS, clone
7496 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7497 @*/
7498 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7499 {
7500   TS             t;
7501   PetscErrorCode ierr;
7502   SNES           snes_start;
7503   DM             dm;
7504   TSType         type;
7505 
7506   PetscFunctionBegin;
7507   PetscValidPointer(tsin,1);
7508   *tsout = NULL;
7509 
7510   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7511 
7512   /* General TS description */
7513   t->numbermonitors    = 0;
7514   t->setupcalled       = 0;
7515   t->ksp_its           = 0;
7516   t->snes_its          = 0;
7517   t->nwork             = 0;
7518   t->rhsjacobian.time  = -1e20;
7519   t->rhsjacobian.scale = 1.;
7520   t->ijacobian.shift   = 1.;
7521 
7522   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7523   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7524 
7525   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7526   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7527 
7528   t->adapt = tsin->adapt;
7529   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7530 
7531   t->problem_type      = tsin->problem_type;
7532   t->ptime             = tsin->ptime;
7533   t->time_step         = tsin->time_step;
7534   t->max_time          = tsin->max_time;
7535   t->steps             = tsin->steps;
7536   t->max_steps         = tsin->max_steps;
7537   t->equation_type     = tsin->equation_type;
7538   t->atol              = tsin->atol;
7539   t->rtol              = tsin->rtol;
7540   t->max_snes_failures = tsin->max_snes_failures;
7541   t->max_reject        = tsin->max_reject;
7542   t->errorifstepfailed = tsin->errorifstepfailed;
7543 
7544   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7545   ierr = TSSetType(t,type);CHKERRQ(ierr);
7546 
7547   t->vec_sol           = NULL;
7548 
7549   t->cfltime          = tsin->cfltime;
7550   t->cfltime_local    = tsin->cfltime_local;
7551   t->exact_final_time = tsin->exact_final_time;
7552 
7553   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7554 
7555   if (((PetscObject)tsin)->fortran_func_pointers) {
7556     PetscInt i;
7557     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7558     for (i=0; i<10; i++) {
7559       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7560     }
7561   }
7562   *tsout = t;
7563   PetscFunctionReturn(0);
7564 }
7565