xref: /petsc/src/ts/interface/ts.c (revision a44bcdf57b2bdc3efd71d40abec79a20d8d3f002)
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_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   PetscDrawAxis axis;
17   Vec           initialsolution;
18   PetscBool     showinitial;
19   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
20   PetscBool     showtimestepandtime;
21   int           color;
22 };
23 
24 #undef __FUNCT__
25 #define __FUNCT__ "TSSetFromOptions"
26 /*@
27    TSSetFromOptions - Sets various TS parameters from user options.
28 
29    Collective on TS
30 
31    Input Parameter:
32 .  ts - the TS context obtained from TSCreate()
33 
34    Options Database Keys:
35 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSGL, TSSSP
36 .  -ts_save_trajectory - checkpoint the solution at each time-step
37 .  -ts_max_steps <maxsteps> - maximum number of time-steps to take
38 .  -ts_final_time <time> - maximum time to compute to
39 .  -ts_dt <dt> - initial time step
40 .  -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
41 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
42 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
43 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
44 .  -ts_rtol <rtol> - relative tolerance for local truncation error
45 .  -ts_atol <atol> Absolute tolerance for local truncation error
46 .  -ts_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
47 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
48 .  -ts_monitor - print information at each timestep
49 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
50 .  -ts_monitor_lg_solution - Monitor solution graphically
51 .  -ts_monitor_lg_error - Monitor error graphically
52 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
53 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
54 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
55 .  -ts_monitor_draw_solution - Monitor solution graphically
56 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
57 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
58 .  -ts_monitor_solution_binary <filename> - Save each solution to a binary file
59 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
60 .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
61 .  -ts_adjoint_monitor - print information at each adjoint time step
62 -  -ts_adjoint_monitor_draw_sensi - monitor the sensitivity of the first cost function wrt initial conditions (lambda[0]) graphically
63 
64    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
65 
66    Level: beginner
67 
68 .keywords: TS, timestep, set, options, database
69 
70 .seealso: TSGetType()
71 @*/
72 PetscErrorCode  TSSetFromOptions(TS ts)
73 {
74   PetscBool              opt,flg,tflg;
75   PetscErrorCode         ierr;
76   PetscViewer            monviewer;
77   char                   monfilename[PETSC_MAX_PATH_LEN];
78   SNES                   snes;
79   TSAdapt                adapt;
80   PetscReal              time_step;
81   TSExactFinalTimeOption eftopt;
82   char                   dir[16];
83   const char             *defaultType;
84   char                   typeName[256];
85 
86   PetscFunctionBegin;
87   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
88   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
89   if (((PetscObject)ts)->type_name) defaultType = ((PetscObject)ts)->type_name;
90   else defaultType = TSEULER;
91 
92   ierr = TSRegisterAll();CHKERRQ(ierr);
93   ierr = PetscOptionsFList("-ts_type", "TS method"," TSSetType", TSList, defaultType, typeName, 256, &opt);CHKERRQ(ierr);
94   if (opt) {
95     ierr = TSSetType(ts, typeName);CHKERRQ(ierr);
96   } else {
97     ierr = TSSetType(ts, defaultType);CHKERRQ(ierr);
98   }
99 
100   /* Handle generic TS options */
101   if (ts->trajectory) tflg = PETSC_TRUE;
102   else tflg = PETSC_FALSE;
103   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
104   if (tflg) {ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);}
105   if (ts->adjoint_solve) tflg = PETSC_TRUE;
106   else tflg = PETSC_FALSE;
107   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
108   if (flg) {
109     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
110     ts->adjoint_solve = tflg;
111   }
112   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
113   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
114   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
115   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
116   if (flg) {
117     ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
118   }
119   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);
120   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
121   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
122   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
123   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
124   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
125   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
126 
127 #if defined(PETSC_HAVE_SAWS)
128   {
129   PetscBool set;
130   flg  = PETSC_FALSE;
131   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
132   if (set) {
133     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
134   }
135   }
136 #endif
137 
138   /* Monitor options */
139   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
140   if (flg) {
141     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
142     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
143   }
144   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
145   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
146 
147   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
148   if (opt) {
149     TSMonitorLGCtx ctx;
150     PetscInt       howoften = 1;
151 
152     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
153     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
154     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
155   }
156   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
157   if (opt) {
158     TSMonitorLGCtx ctx;
159     PetscInt       howoften = 1;
160 
161     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
162     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
163     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
164   }
165   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
166   if (opt) {
167     TSMonitorLGCtx ctx;
168     PetscInt       howoften = 1;
169 
170     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
171     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
172     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
173   }
174   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
175   if (opt) {
176     TSMonitorLGCtx ctx;
177     PetscInt       howoften = 1;
178 
179     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
180     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
181     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
182   }
183   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
184   if (opt) {
185     TSMonitorLGCtx ctx;
186     PetscInt       howoften = 1;
187 
188     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
189     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
190     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
191   }
192   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
193   if (opt) {
194     TSMonitorSPEigCtx ctx;
195     PetscInt          howoften = 1;
196 
197     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
198     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
199     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
200   }
201   opt  = PETSC_FALSE;
202   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
203   if (opt) {
204     TSMonitorDrawCtx ctx;
205     PetscInt         howoften = 1;
206 
207     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
208     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
209     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
210   }
211   opt  = PETSC_FALSE;
212   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
213   if (opt) {
214     TSMonitorDrawCtx ctx;
215     PetscInt         howoften = 1;
216 
217     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
218     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
219     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
220   }
221   opt  = PETSC_FALSE;
222   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
223   if (opt) {
224     TSMonitorDrawCtx ctx;
225     PetscReal        bounds[4];
226     PetscInt         n = 4;
227     PetscDraw        draw;
228 
229     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
230     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
231     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
232     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
233     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
234     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
235     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
236     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
237     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
238     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
239     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
240   }
241   opt  = PETSC_FALSE;
242   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
243   if (opt) {
244     TSMonitorDrawCtx ctx;
245     PetscInt         howoften = 1;
246 
247     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
248     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
249     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
250   }
251   opt  = PETSC_FALSE;
252   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
253   if (flg) {
254     PetscViewer ctx;
255     if (monfilename[0]) {
256       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
257       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
258     } else {
259       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
260       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
261     }
262   }
263   opt  = PETSC_FALSE;
264   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);
265   if (flg) {
266     const char *ptr,*ptr2;
267     char       *filetemplate;
268     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
269     /* Do some cursory validation of the input. */
270     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
271     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
272     for (ptr++; ptr && *ptr; ptr++) {
273       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
274       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");
275       if (ptr2) break;
276     }
277     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
278     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
279   }
280 
281   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
282   if (flg) {
283     TSMonitorDMDARayCtx *rayctx;
284     int                  ray = 0;
285     DMDADirection        ddir;
286     DM                   da;
287     PetscMPIInt          rank;
288 
289     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
290     if (dir[0] == 'x') ddir = DMDA_X;
291     else if (dir[0] == 'y') ddir = DMDA_Y;
292     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
293     sscanf(dir+2,"%d",&ray);
294 
295     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
296     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
297     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
298     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
299     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
300     if (!rank) {
301       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
302     }
303     rayctx->lgctx = NULL;
304     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
305   }
306   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
307   if (flg) {
308     TSMonitorDMDARayCtx *rayctx;
309     int                 ray = 0;
310     DMDADirection       ddir;
311     DM                  da;
312     PetscInt            howoften = 1;
313 
314     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
315     if      (dir[0] == 'x') ddir = DMDA_X;
316     else if (dir[0] == 'y') ddir = DMDA_Y;
317     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
318     sscanf(dir+2, "%d", &ray);
319 
320     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
321     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
322     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
323     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
324     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
325     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
326   }
327 
328   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
329   if (opt) {
330     TSMonitorEnvelopeCtx ctx;
331 
332     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
333     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
334   }
335 
336   flg  = PETSC_FALSE;
337   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
338   if (flg) {
339     DM   dm;
340     DMTS tdm;
341 
342     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
343     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
344     tdm->ijacobianctx = NULL;
345     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
346     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
347   }
348 
349   ierr = PetscOptionsString("-ts_adjoint_monitor","Monitor adjoint timestep size","TSAdjointMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
350   if (flg) {
351     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
352     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
353   }
354 
355   /*
356      This code is all wrong. One is creating objects inside the TSSetFromOptions() so if run with the options gui
357      will bleed memory. Also one is using a PetscOptionsBegin() inside a PetscOptionsBegin()
358   */
359   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
360   ierr = TSAdaptSetFromOptions(PetscOptionsObject,adapt);CHKERRQ(ierr);
361 
362     /* Handle specific TS options */
363   if (ts->ops->setfromoptions) {
364     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
365   }
366   ierr = PetscOptionsEnd();CHKERRQ(ierr);
367 
368   /* process any options handlers added with PetscObjectAddOptionsHandler() */
369   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
370 
371   if (ts->trajectory) {
372     ierr = TSTrajectorySetFromOptions(ts->trajectory);CHKERRQ(ierr);
373   }
374 
375   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
376   if (snes) {
377     if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
378     ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
379   }
380   PetscFunctionReturn(0);
381 }
382 
383 #undef __FUNCT__
384 #define __FUNCT__ "TSSetSaveTrajectory"
385 /*@
386    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
387 
388    Collective on TS
389 
390    Input Parameters:
391 .  ts - the TS context obtained from TSCreate()
392 
393 
394    Level: intermediate
395 
396 .seealso: TSGetTrajectory(), TSAdjointSolve()
397 
398 .keywords: TS, set, checkpoint,
399 @*/
400 PetscErrorCode  TSSetSaveTrajectory(TS ts)
401 {
402   PetscErrorCode ierr;
403 
404   PetscFunctionBegin;
405   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
406   if (!ts->trajectory) {
407     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
408     ierr = TSTrajectorySetType(ts->trajectory,TSTRAJECTORYBASIC);CHKERRQ(ierr);
409     ierr = TSTrajectorySetFromOptions(ts->trajectory);CHKERRQ(ierr);
410   }
411   PetscFunctionReturn(0);
412 }
413 
414 #undef __FUNCT__
415 #define __FUNCT__ "TSComputeRHSJacobian"
416 /*@
417    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
418       set with TSSetRHSJacobian().
419 
420    Collective on TS and Vec
421 
422    Input Parameters:
423 +  ts - the TS context
424 .  t - current timestep
425 -  U - input vector
426 
427    Output Parameters:
428 +  A - Jacobian matrix
429 .  B - optional preconditioning matrix
430 -  flag - flag indicating matrix structure
431 
432    Notes:
433    Most users should not need to explicitly call this routine, as it
434    is used internally within the nonlinear solvers.
435 
436    See KSPSetOperators() for important information about setting the
437    flag parameter.
438 
439    Level: developer
440 
441 .keywords: SNES, compute, Jacobian, matrix
442 
443 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
444 @*/
445 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
446 {
447   PetscErrorCode ierr;
448   PetscObjectState Ustate;
449   DM             dm;
450   DMTS           tsdm;
451   TSRHSJacobian  rhsjacobianfunc;
452   void           *ctx;
453   TSIJacobian    ijacobianfunc;
454   TSRHSFunction  rhsfunction;
455 
456   PetscFunctionBegin;
457   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
458   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
459   PetscCheckSameComm(ts,1,U,3);
460   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
461   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
462   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
463   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
464   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
465   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
466   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
467     PetscFunctionReturn(0);
468   }
469 
470   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
471 
472   if (ts->rhsjacobian.reuse) {
473     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
474     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
475     if (A != B) {
476       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
477       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
478     }
479     ts->rhsjacobian.shift = 0;
480     ts->rhsjacobian.scale = 1.;
481   }
482 
483   if (rhsjacobianfunc) {
484     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
485     PetscStackPush("TS user Jacobian function");
486     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
487     PetscStackPop;
488     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
489     /* make sure user returned a correct Jacobian and preconditioner */
490     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
491     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
492   } else {
493     ierr = MatZeroEntries(A);CHKERRQ(ierr);
494     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
495   }
496   ts->rhsjacobian.time       = t;
497   ts->rhsjacobian.X          = U;
498   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
499   PetscFunctionReturn(0);
500 }
501 
502 #undef __FUNCT__
503 #define __FUNCT__ "TSComputeRHSFunction"
504 /*@
505    TSComputeRHSFunction - Evaluates the right-hand-side function.
506 
507    Collective on TS and Vec
508 
509    Input Parameters:
510 +  ts - the TS context
511 .  t - current time
512 -  U - state vector
513 
514    Output Parameter:
515 .  y - right hand side
516 
517    Note:
518    Most users should not need to explicitly call this routine, as it
519    is used internally within the nonlinear solvers.
520 
521    Level: developer
522 
523 .keywords: TS, compute
524 
525 .seealso: TSSetRHSFunction(), TSComputeIFunction()
526 @*/
527 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
528 {
529   PetscErrorCode ierr;
530   TSRHSFunction  rhsfunction;
531   TSIFunction    ifunction;
532   void           *ctx;
533   DM             dm;
534 
535   PetscFunctionBegin;
536   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
537   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
538   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
539   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
540   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
541   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
542 
543   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
544 
545   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
546   if (rhsfunction) {
547     PetscStackPush("TS user right-hand-side function");
548     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
549     PetscStackPop;
550   } else {
551     ierr = VecZeroEntries(y);CHKERRQ(ierr);
552   }
553 
554   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
555   PetscFunctionReturn(0);
556 }
557 
558 #undef __FUNCT__
559 #define __FUNCT__ "TSComputeSolutionFunction"
560 /*@
561    TSComputeSolutionFunction - Evaluates the solution function.
562 
563    Collective on TS and Vec
564 
565    Input Parameters:
566 +  ts - the TS context
567 -  t - current time
568 
569    Output Parameter:
570 .  U - the solution
571 
572    Note:
573    Most users should not need to explicitly call this routine, as it
574    is used internally within the nonlinear solvers.
575 
576    Level: developer
577 
578 .keywords: TS, compute
579 
580 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
581 @*/
582 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
583 {
584   PetscErrorCode     ierr;
585   TSSolutionFunction solutionfunction;
586   void               *ctx;
587   DM                 dm;
588 
589   PetscFunctionBegin;
590   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
591   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
592   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
593   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
594 
595   if (solutionfunction) {
596     PetscStackPush("TS user solution function");
597     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
598     PetscStackPop;
599   }
600   PetscFunctionReturn(0);
601 }
602 #undef __FUNCT__
603 #define __FUNCT__ "TSComputeForcingFunction"
604 /*@
605    TSComputeForcingFunction - Evaluates the forcing function.
606 
607    Collective on TS and Vec
608 
609    Input Parameters:
610 +  ts - the TS context
611 -  t - current time
612 
613    Output Parameter:
614 .  U - the function value
615 
616    Note:
617    Most users should not need to explicitly call this routine, as it
618    is used internally within the nonlinear solvers.
619 
620    Level: developer
621 
622 .keywords: TS, compute
623 
624 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
625 @*/
626 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
627 {
628   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
629   void               *ctx;
630   DM                 dm;
631 
632   PetscFunctionBegin;
633   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
634   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
635   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
636   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
637 
638   if (forcing) {
639     PetscStackPush("TS user forcing function");
640     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
641     PetscStackPop;
642   }
643   PetscFunctionReturn(0);
644 }
645 
646 #undef __FUNCT__
647 #define __FUNCT__ "TSGetRHSVec_Private"
648 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
649 {
650   Vec            F;
651   PetscErrorCode ierr;
652 
653   PetscFunctionBegin;
654   *Frhs = NULL;
655   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
656   if (!ts->Frhs) {
657     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
658   }
659   *Frhs = ts->Frhs;
660   PetscFunctionReturn(0);
661 }
662 
663 #undef __FUNCT__
664 #define __FUNCT__ "TSGetRHSMats_Private"
665 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
666 {
667   Mat            A,B;
668   PetscErrorCode ierr;
669 
670   PetscFunctionBegin;
671   if (Arhs) *Arhs = NULL;
672   if (Brhs) *Brhs = NULL;
673   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
674   if (Arhs) {
675     if (!ts->Arhs) {
676       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
677     }
678     *Arhs = ts->Arhs;
679   }
680   if (Brhs) {
681     if (!ts->Brhs) {
682       if (A != B) {
683         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
684       } else {
685         ts->Brhs = ts->Arhs;
686         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
687       }
688     }
689     *Brhs = ts->Brhs;
690   }
691   PetscFunctionReturn(0);
692 }
693 
694 #undef __FUNCT__
695 #define __FUNCT__ "TSComputeIFunction"
696 /*@
697    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
698 
699    Collective on TS and Vec
700 
701    Input Parameters:
702 +  ts - the TS context
703 .  t - current time
704 .  U - state vector
705 .  Udot - time derivative of state vector
706 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
707 
708    Output Parameter:
709 .  Y - right hand side
710 
711    Note:
712    Most users should not need to explicitly call this routine, as it
713    is used internally within the nonlinear solvers.
714 
715    If the user did did not write their equations in implicit form, this
716    function recasts them in implicit form.
717 
718    Level: developer
719 
720 .keywords: TS, compute
721 
722 .seealso: TSSetIFunction(), TSComputeRHSFunction()
723 @*/
724 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
725 {
726   PetscErrorCode ierr;
727   TSIFunction    ifunction;
728   TSRHSFunction  rhsfunction;
729   void           *ctx;
730   DM             dm;
731 
732   PetscFunctionBegin;
733   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
734   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
735   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
736   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
737 
738   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
739   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
740   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
741 
742   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
743 
744   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
745   if (ifunction) {
746     PetscStackPush("TS user implicit function");
747     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
748     PetscStackPop;
749   }
750   if (imex) {
751     if (!ifunction) {
752       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
753     }
754   } else if (rhsfunction) {
755     if (ifunction) {
756       Vec Frhs;
757       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
758       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
759       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
760     } else {
761       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
762       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
763     }
764   }
765   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
766   PetscFunctionReturn(0);
767 }
768 
769 #undef __FUNCT__
770 #define __FUNCT__ "TSComputeIJacobian"
771 /*@
772    TSComputeIJacobian - Evaluates the Jacobian of the DAE
773 
774    Collective on TS and Vec
775 
776    Input
777       Input Parameters:
778 +  ts - the TS context
779 .  t - current timestep
780 .  U - state vector
781 .  Udot - time derivative of state vector
782 .  shift - shift to apply, see note below
783 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
784 
785    Output Parameters:
786 +  A - Jacobian matrix
787 .  B - optional preconditioning matrix
788 -  flag - flag indicating matrix structure
789 
790    Notes:
791    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
792 
793    dF/dU + shift*dF/dUdot
794 
795    Most users should not need to explicitly call this routine, as it
796    is used internally within the nonlinear solvers.
797 
798    Level: developer
799 
800 .keywords: TS, compute, Jacobian, matrix
801 
802 .seealso:  TSSetIJacobian()
803 @*/
804 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
805 {
806   PetscErrorCode ierr;
807   TSIJacobian    ijacobian;
808   TSRHSJacobian  rhsjacobian;
809   DM             dm;
810   void           *ctx;
811 
812   PetscFunctionBegin;
813   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
814   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
815   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
816   PetscValidPointer(A,6);
817   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
818   PetscValidPointer(B,7);
819   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
820 
821   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
822   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
823   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
824 
825   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
826 
827   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
828   if (ijacobian) {
829     PetscStackPush("TS user implicit Jacobian");
830     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
831     PetscStackPop;
832     /* make sure user returned a correct Jacobian and preconditioner */
833     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
834     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
835   }
836   if (imex) {
837     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
838       ierr = MatZeroEntries(A);CHKERRQ(ierr);
839       ierr = MatShift(A,shift);CHKERRQ(ierr);
840       if (A != B) {
841         ierr = MatZeroEntries(B);CHKERRQ(ierr);
842         ierr = MatShift(B,shift);CHKERRQ(ierr);
843       }
844     }
845   } else {
846     Mat Arhs = NULL,Brhs = NULL;
847     if (rhsjacobian) {
848       if (ijacobian) {
849         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
850       } else {
851         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
852       }
853       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
854     }
855     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
856       ts->rhsjacobian.scale = -1;
857       ts->rhsjacobian.shift = shift;
858       ierr = MatScale(A,-1);CHKERRQ(ierr);
859       ierr = MatShift(A,shift);CHKERRQ(ierr);
860       if (A != B) {
861         ierr = MatScale(B,-1);CHKERRQ(ierr);
862         ierr = MatShift(B,shift);CHKERRQ(ierr);
863       }
864     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
865       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
866       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
867         ierr = MatZeroEntries(A);CHKERRQ(ierr);
868         ierr = MatShift(A,shift);CHKERRQ(ierr);
869         if (A != B) {
870           ierr = MatZeroEntries(B);CHKERRQ(ierr);
871           ierr = MatShift(B,shift);CHKERRQ(ierr);
872         }
873       }
874       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
875       if (A != B) {
876         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
877       }
878     }
879   }
880   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
881   PetscFunctionReturn(0);
882 }
883 
884 #undef __FUNCT__
885 #define __FUNCT__ "TSSetRHSFunction"
886 /*@C
887     TSSetRHSFunction - Sets the routine for evaluating the function,
888     where U_t = G(t,u).
889 
890     Logically Collective on TS
891 
892     Input Parameters:
893 +   ts - the TS context obtained from TSCreate()
894 .   r - vector to put the computed right hand side (or NULL to have it created)
895 .   f - routine for evaluating the right-hand-side function
896 -   ctx - [optional] user-defined context for private data for the
897           function evaluation routine (may be NULL)
898 
899     Calling sequence of func:
900 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
901 
902 +   t - current timestep
903 .   u - input vector
904 .   F - function vector
905 -   ctx - [optional] user-defined function context
906 
907     Level: beginner
908 
909     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
910 
911 .keywords: TS, timestep, set, right-hand-side, function
912 
913 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
914 @*/
915 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
916 {
917   PetscErrorCode ierr;
918   SNES           snes;
919   Vec            ralloc = NULL;
920   DM             dm;
921 
922   PetscFunctionBegin;
923   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
924   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
925 
926   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
927   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
928   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
929   if (!r && !ts->dm && ts->vec_sol) {
930     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
931     r    = ralloc;
932   }
933   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
934   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
935   PetscFunctionReturn(0);
936 }
937 
938 #undef __FUNCT__
939 #define __FUNCT__ "TSSetSolutionFunction"
940 /*@C
941     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
942 
943     Logically Collective on TS
944 
945     Input Parameters:
946 +   ts - the TS context obtained from TSCreate()
947 .   f - routine for evaluating the solution
948 -   ctx - [optional] user-defined context for private data for the
949           function evaluation routine (may be NULL)
950 
951     Calling sequence of func:
952 $     func (TS ts,PetscReal t,Vec u,void *ctx);
953 
954 +   t - current timestep
955 .   u - output vector
956 -   ctx - [optional] user-defined function context
957 
958     Notes:
959     This routine is used for testing accuracy of time integration schemes when you already know the solution.
960     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
961     create closed-form solutions with non-physical forcing terms.
962 
963     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
964 
965     Level: beginner
966 
967 .keywords: TS, timestep, set, right-hand-side, function
968 
969 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
970 @*/
971 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
972 {
973   PetscErrorCode ierr;
974   DM             dm;
975 
976   PetscFunctionBegin;
977   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
978   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
979   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
980   PetscFunctionReturn(0);
981 }
982 
983 #undef __FUNCT__
984 #define __FUNCT__ "TSSetForcingFunction"
985 /*@C
986     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
987 
988     Logically Collective on TS
989 
990     Input Parameters:
991 +   ts - the TS context obtained from TSCreate()
992 .   f - routine for evaluating the forcing function
993 -   ctx - [optional] user-defined context for private data for the
994           function evaluation routine (may be NULL)
995 
996     Calling sequence of func:
997 $     func (TS ts,PetscReal t,Vec u,void *ctx);
998 
999 +   t - current timestep
1000 .   u - output vector
1001 -   ctx - [optional] user-defined function context
1002 
1003     Notes:
1004     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
1005     create closed-form solutions with a non-physical forcing term.
1006 
1007     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1008 
1009     Level: beginner
1010 
1011 .keywords: TS, timestep, set, right-hand-side, function
1012 
1013 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1014 @*/
1015 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1016 {
1017   PetscErrorCode ierr;
1018   DM             dm;
1019 
1020   PetscFunctionBegin;
1021   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1022   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1023   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1024   PetscFunctionReturn(0);
1025 }
1026 
1027 #undef __FUNCT__
1028 #define __FUNCT__ "TSSetRHSJacobian"
1029 /*@C
1030    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1031    where U_t = G(U,t), as well as the location to store the matrix.
1032 
1033    Logically Collective on TS
1034 
1035    Input Parameters:
1036 +  ts  - the TS context obtained from TSCreate()
1037 .  Amat - (approximate) Jacobian matrix
1038 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1039 .  f   - the Jacobian evaluation routine
1040 -  ctx - [optional] user-defined context for private data for the
1041          Jacobian evaluation routine (may be NULL)
1042 
1043    Calling sequence of f:
1044 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1045 
1046 +  t - current timestep
1047 .  u - input vector
1048 .  Amat - (approximate) Jacobian matrix
1049 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1050 -  ctx - [optional] user-defined context for matrix evaluation routine
1051 
1052 
1053    Level: beginner
1054 
1055 .keywords: TS, timestep, set, right-hand-side, Jacobian
1056 
1057 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1058 
1059 @*/
1060 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1061 {
1062   PetscErrorCode ierr;
1063   SNES           snes;
1064   DM             dm;
1065   TSIJacobian    ijacobian;
1066 
1067   PetscFunctionBegin;
1068   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1069   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1070   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1071   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1072   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1073 
1074   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1075   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1076   if (f == TSComputeRHSJacobianConstant) {
1077     /* Handle this case automatically for the user; otherwise user should call themselves. */
1078     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1079   }
1080   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1081   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1082   if (!ijacobian) {
1083     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1084   }
1085   if (Amat) {
1086     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1087     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1088 
1089     ts->Arhs = Amat;
1090   }
1091   if (Pmat) {
1092     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1093     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1094 
1095     ts->Brhs = Pmat;
1096   }
1097   PetscFunctionReturn(0);
1098 }
1099 
1100 
1101 #undef __FUNCT__
1102 #define __FUNCT__ "TSSetIFunction"
1103 /*@C
1104    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1105 
1106    Logically Collective on TS
1107 
1108    Input Parameters:
1109 +  ts  - the TS context obtained from TSCreate()
1110 .  r   - vector to hold the residual (or NULL to have it created internally)
1111 .  f   - the function evaluation routine
1112 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1113 
1114    Calling sequence of f:
1115 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1116 
1117 +  t   - time at step/stage being solved
1118 .  u   - state vector
1119 .  u_t - time derivative of state vector
1120 .  F   - function vector
1121 -  ctx - [optional] user-defined context for matrix evaluation routine
1122 
1123    Important:
1124    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1125 
1126    Level: beginner
1127 
1128 .keywords: TS, timestep, set, DAE, Jacobian
1129 
1130 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1131 @*/
1132 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1133 {
1134   PetscErrorCode ierr;
1135   SNES           snes;
1136   Vec            resalloc = NULL;
1137   DM             dm;
1138 
1139   PetscFunctionBegin;
1140   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1141   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1142 
1143   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1144   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1145 
1146   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1147   if (!res && !ts->dm && ts->vec_sol) {
1148     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1149     res  = resalloc;
1150   }
1151   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1152   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1153   PetscFunctionReturn(0);
1154 }
1155 
1156 #undef __FUNCT__
1157 #define __FUNCT__ "TSGetIFunction"
1158 /*@C
1159    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1160 
1161    Not Collective
1162 
1163    Input Parameter:
1164 .  ts - the TS context
1165 
1166    Output Parameter:
1167 +  r - vector to hold residual (or NULL)
1168 .  func - the function to compute residual (or NULL)
1169 -  ctx - the function context (or NULL)
1170 
1171    Level: advanced
1172 
1173 .keywords: TS, nonlinear, get, function
1174 
1175 .seealso: TSSetIFunction(), SNESGetFunction()
1176 @*/
1177 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1178 {
1179   PetscErrorCode ierr;
1180   SNES           snes;
1181   DM             dm;
1182 
1183   PetscFunctionBegin;
1184   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1185   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1186   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1187   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1188   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1189   PetscFunctionReturn(0);
1190 }
1191 
1192 #undef __FUNCT__
1193 #define __FUNCT__ "TSGetRHSFunction"
1194 /*@C
1195    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1196 
1197    Not Collective
1198 
1199    Input Parameter:
1200 .  ts - the TS context
1201 
1202    Output Parameter:
1203 +  r - vector to hold computed right hand side (or NULL)
1204 .  func - the function to compute right hand side (or NULL)
1205 -  ctx - the function context (or NULL)
1206 
1207    Level: advanced
1208 
1209 .keywords: TS, nonlinear, get, function
1210 
1211 .seealso: TSSetRHSFunction(), SNESGetFunction()
1212 @*/
1213 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1214 {
1215   PetscErrorCode ierr;
1216   SNES           snes;
1217   DM             dm;
1218 
1219   PetscFunctionBegin;
1220   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1221   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1222   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1223   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1224   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1225   PetscFunctionReturn(0);
1226 }
1227 
1228 #undef __FUNCT__
1229 #define __FUNCT__ "TSSetIJacobian"
1230 /*@C
1231    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1232         provided with TSSetIFunction().
1233 
1234    Logically Collective on TS
1235 
1236    Input Parameters:
1237 +  ts  - the TS context obtained from TSCreate()
1238 .  Amat - (approximate) Jacobian matrix
1239 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1240 .  f   - the Jacobian evaluation routine
1241 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1242 
1243    Calling sequence of f:
1244 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1245 
1246 +  t    - time at step/stage being solved
1247 .  U    - state vector
1248 .  U_t  - time derivative of state vector
1249 .  a    - shift
1250 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1251 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1252 -  ctx  - [optional] user-defined context for matrix evaluation routine
1253 
1254    Notes:
1255    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1256 
1257    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1258    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1259 
1260    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1261    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1262    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1263    a and vector W depend on the integration method, step size, and past states. For example with
1264    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1265    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1266 
1267    Level: beginner
1268 
1269 .keywords: TS, timestep, DAE, Jacobian
1270 
1271 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1272 
1273 @*/
1274 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1275 {
1276   PetscErrorCode ierr;
1277   SNES           snes;
1278   DM             dm;
1279 
1280   PetscFunctionBegin;
1281   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1282   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1283   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1284   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1285   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1286 
1287   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1288   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1289 
1290   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1291   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1292   PetscFunctionReturn(0);
1293 }
1294 
1295 #undef __FUNCT__
1296 #define __FUNCT__ "TSRHSJacobianSetReuse"
1297 /*@
1298    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1299    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1300    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1301    not been changed by the TS.
1302 
1303    Logically Collective
1304 
1305    Input Arguments:
1306 +  ts - TS context obtained from TSCreate()
1307 -  reuse - PETSC_TRUE if the RHS Jacobian
1308 
1309    Level: intermediate
1310 
1311 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1312 @*/
1313 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1314 {
1315   PetscFunctionBegin;
1316   ts->rhsjacobian.reuse = reuse;
1317   PetscFunctionReturn(0);
1318 }
1319 
1320 #undef __FUNCT__
1321 #define __FUNCT__ "TSLoad"
1322 /*@C
1323   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1324 
1325   Collective on PetscViewer
1326 
1327   Input Parameters:
1328 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1329            some related function before a call to TSLoad().
1330 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1331 
1332    Level: intermediate
1333 
1334   Notes:
1335    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1336 
1337   Notes for advanced users:
1338   Most users should not need to know the details of the binary storage
1339   format, since TSLoad() and TSView() completely hide these details.
1340   But for anyone who's interested, the standard binary matrix storage
1341   format is
1342 .vb
1343      has not yet been determined
1344 .ve
1345 
1346 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1347 @*/
1348 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1349 {
1350   PetscErrorCode ierr;
1351   PetscBool      isbinary;
1352   PetscInt       classid;
1353   char           type[256];
1354   DMTS           sdm;
1355   DM             dm;
1356 
1357   PetscFunctionBegin;
1358   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1359   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1360   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1361   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1362 
1363   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1364   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1365   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1366   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1367   if (ts->ops->load) {
1368     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1369   }
1370   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1371   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1372   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1373   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1374   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1375   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1376   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #include <petscdraw.h>
1381 #if defined(PETSC_HAVE_SAWS)
1382 #include <petscviewersaws.h>
1383 #endif
1384 #undef __FUNCT__
1385 #define __FUNCT__ "TSView"
1386 /*@C
1387     TSView - Prints the TS data structure.
1388 
1389     Collective on TS
1390 
1391     Input Parameters:
1392 +   ts - the TS context obtained from TSCreate()
1393 -   viewer - visualization context
1394 
1395     Options Database Key:
1396 .   -ts_view - calls TSView() at end of TSStep()
1397 
1398     Notes:
1399     The available visualization contexts include
1400 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1401 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1402          output where only the first processor opens
1403          the file.  All other processors send their
1404          data to the first processor to print.
1405 
1406     The user can open an alternative visualization context with
1407     PetscViewerASCIIOpen() - output to a specified file.
1408 
1409     Level: beginner
1410 
1411 .keywords: TS, timestep, view
1412 
1413 .seealso: PetscViewerASCIIOpen()
1414 @*/
1415 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1416 {
1417   PetscErrorCode ierr;
1418   TSType         type;
1419   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1420   DMTS           sdm;
1421 #if defined(PETSC_HAVE_SAWS)
1422   PetscBool      issaws;
1423 #endif
1424 
1425   PetscFunctionBegin;
1426   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1427   if (!viewer) {
1428     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1429   }
1430   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1431   PetscCheckSameComm(ts,1,viewer,2);
1432 
1433   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1434   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1435   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1436   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1437 #if defined(PETSC_HAVE_SAWS)
1438   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1439 #endif
1440   if (iascii) {
1441     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1442     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1443     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1444     if (ts->problem_type == TS_NONLINEAR) {
1445       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1446       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1447     }
1448     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1449     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1450     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1451     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1452     if (ts->ops->view) {
1453       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1454       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1455       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1456     }
1457   } else if (isstring) {
1458     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1459     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1460   } else if (isbinary) {
1461     PetscInt    classid = TS_FILE_CLASSID;
1462     MPI_Comm    comm;
1463     PetscMPIInt rank;
1464     char        type[256];
1465 
1466     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1467     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1468     if (!rank) {
1469       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1470       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1471       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1472     }
1473     if (ts->ops->view) {
1474       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1475     }
1476     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1477     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1478     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1479     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1480   } else if (isdraw) {
1481     PetscDraw draw;
1482     char      str[36];
1483     PetscReal x,y,bottom,h;
1484 
1485     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1486     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1487     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1488     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1489     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1490     bottom = y - h;
1491     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1492     if (ts->ops->view) {
1493       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1494     }
1495     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1496 #if defined(PETSC_HAVE_SAWS)
1497   } else if (issaws) {
1498     PetscMPIInt rank;
1499     const char  *name;
1500 
1501     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1502     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1503     if (!((PetscObject)ts)->amsmem && !rank) {
1504       char       dir[1024];
1505 
1506       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1507       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1508       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1509       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1510       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1511     }
1512     if (ts->ops->view) {
1513       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1514     }
1515 #endif
1516   }
1517 
1518   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1519   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1520   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 
1525 #undef __FUNCT__
1526 #define __FUNCT__ "TSSetApplicationContext"
1527 /*@
1528    TSSetApplicationContext - Sets an optional user-defined context for
1529    the timesteppers.
1530 
1531    Logically Collective on TS
1532 
1533    Input Parameters:
1534 +  ts - the TS context obtained from TSCreate()
1535 -  usrP - optional user context
1536 
1537    Level: intermediate
1538 
1539 .keywords: TS, timestep, set, application, context
1540 
1541 .seealso: TSGetApplicationContext()
1542 @*/
1543 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1544 {
1545   PetscFunctionBegin;
1546   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1547   ts->user = usrP;
1548   PetscFunctionReturn(0);
1549 }
1550 
1551 #undef __FUNCT__
1552 #define __FUNCT__ "TSGetApplicationContext"
1553 /*@
1554     TSGetApplicationContext - Gets the user-defined context for the
1555     timestepper.
1556 
1557     Not Collective
1558 
1559     Input Parameter:
1560 .   ts - the TS context obtained from TSCreate()
1561 
1562     Output Parameter:
1563 .   usrP - user context
1564 
1565     Level: intermediate
1566 
1567 .keywords: TS, timestep, get, application, context
1568 
1569 .seealso: TSSetApplicationContext()
1570 @*/
1571 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1572 {
1573   PetscFunctionBegin;
1574   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1575   *(void**)usrP = ts->user;
1576   PetscFunctionReturn(0);
1577 }
1578 
1579 #undef __FUNCT__
1580 #define __FUNCT__ "TSGetTimeStepNumber"
1581 /*@
1582    TSGetTimeStepNumber - Gets the number of time steps completed.
1583 
1584    Not Collective
1585 
1586    Input Parameter:
1587 .  ts - the TS context obtained from TSCreate()
1588 
1589    Output Parameter:
1590 .  iter - number of steps completed so far
1591 
1592    Level: intermediate
1593 
1594 .keywords: TS, timestep, get, iteration, number
1595 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1596 @*/
1597 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1598 {
1599   PetscFunctionBegin;
1600   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1601   PetscValidIntPointer(iter,2);
1602   *iter = ts->steps;
1603   PetscFunctionReturn(0);
1604 }
1605 
1606 #undef __FUNCT__
1607 #define __FUNCT__ "TSSetInitialTimeStep"
1608 /*@
1609    TSSetInitialTimeStep - Sets the initial timestep to be used,
1610    as well as the initial time.
1611 
1612    Logically Collective on TS
1613 
1614    Input Parameters:
1615 +  ts - the TS context obtained from TSCreate()
1616 .  initial_time - the initial time
1617 -  time_step - the size of the timestep
1618 
1619    Level: intermediate
1620 
1621 .seealso: TSSetTimeStep(), TSGetTimeStep()
1622 
1623 .keywords: TS, set, initial, timestep
1624 @*/
1625 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1626 {
1627   PetscErrorCode ierr;
1628 
1629   PetscFunctionBegin;
1630   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1631   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1632   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1633   PetscFunctionReturn(0);
1634 }
1635 
1636 #undef __FUNCT__
1637 #define __FUNCT__ "TSSetTimeStep"
1638 /*@
1639    TSSetTimeStep - Allows one to reset the timestep at any time,
1640    useful for simple pseudo-timestepping codes.
1641 
1642    Logically Collective on TS
1643 
1644    Input Parameters:
1645 +  ts - the TS context obtained from TSCreate()
1646 -  time_step - the size of the timestep
1647 
1648    Level: intermediate
1649 
1650 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1651 
1652 .keywords: TS, set, timestep
1653 @*/
1654 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1655 {
1656   PetscFunctionBegin;
1657   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1658   PetscValidLogicalCollectiveReal(ts,time_step,2);
1659   ts->time_step      = time_step;
1660   ts->time_step_orig = time_step;
1661   PetscFunctionReturn(0);
1662 }
1663 
1664 #undef __FUNCT__
1665 #define __FUNCT__ "TSSetExactFinalTime"
1666 /*@
1667    TSSetExactFinalTime - Determines whether to adapt the final time step to
1668      match the exact final time, interpolate solution to the exact final time,
1669      or just return at the final time TS computed.
1670 
1671   Logically Collective on TS
1672 
1673    Input Parameter:
1674 +   ts - the time-step context
1675 -   eftopt - exact final time option
1676 
1677    Level: beginner
1678 
1679 .seealso: TSExactFinalTimeOption
1680 @*/
1681 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1682 {
1683   PetscFunctionBegin;
1684   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1685   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1686   ts->exact_final_time = eftopt;
1687   PetscFunctionReturn(0);
1688 }
1689 
1690 #undef __FUNCT__
1691 #define __FUNCT__ "TSGetTimeStep"
1692 /*@
1693    TSGetTimeStep - Gets the current timestep size.
1694 
1695    Not Collective
1696 
1697    Input Parameter:
1698 .  ts - the TS context obtained from TSCreate()
1699 
1700    Output Parameter:
1701 .  dt - the current timestep size
1702 
1703    Level: intermediate
1704 
1705 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1706 
1707 .keywords: TS, get, timestep
1708 @*/
1709 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1710 {
1711   PetscFunctionBegin;
1712   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1713   PetscValidRealPointer(dt,2);
1714   *dt = ts->time_step;
1715   PetscFunctionReturn(0);
1716 }
1717 
1718 #undef __FUNCT__
1719 #define __FUNCT__ "TSGetSolution"
1720 /*@
1721    TSGetSolution - Returns the solution at the present timestep. It
1722    is valid to call this routine inside the function that you are evaluating
1723    in order to move to the new timestep. This vector not changed until
1724    the solution at the next timestep has been calculated.
1725 
1726    Not Collective, but Vec returned is parallel if TS is parallel
1727 
1728    Input Parameter:
1729 .  ts - the TS context obtained from TSCreate()
1730 
1731    Output Parameter:
1732 .  v - the vector containing the solution
1733 
1734    Level: intermediate
1735 
1736 .seealso: TSGetTimeStep()
1737 
1738 .keywords: TS, timestep, get, solution
1739 @*/
1740 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1741 {
1742   PetscFunctionBegin;
1743   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1744   PetscValidPointer(v,2);
1745   *v = ts->vec_sol;
1746   PetscFunctionReturn(0);
1747 }
1748 
1749 #undef __FUNCT__
1750 #define __FUNCT__ "TSGetCostGradients"
1751 /*@
1752    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
1753 
1754    Not Collective, but Vec returned is parallel if TS is parallel
1755 
1756    Input Parameter:
1757 .  ts - the TS context obtained from TSCreate()
1758 
1759    Output Parameter:
1760 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
1761 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
1762 
1763    Level: intermediate
1764 
1765 .seealso: TSGetTimeStep()
1766 
1767 .keywords: TS, timestep, get, sensitivity
1768 @*/
1769 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
1770 {
1771   PetscFunctionBegin;
1772   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1773   if (numcost) *numcost = ts->numcost;
1774   if (lambda)  *lambda  = ts->vecs_sensi;
1775   if (mu)      *mu      = ts->vecs_sensip;
1776   PetscFunctionReturn(0);
1777 }
1778 
1779 /* ----- Routines to initialize and destroy a timestepper ---- */
1780 #undef __FUNCT__
1781 #define __FUNCT__ "TSSetProblemType"
1782 /*@
1783   TSSetProblemType - Sets the type of problem to be solved.
1784 
1785   Not collective
1786 
1787   Input Parameters:
1788 + ts   - The TS
1789 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1790 .vb
1791          U_t - A U = 0      (linear)
1792          U_t - A(t) U = 0   (linear)
1793          F(t,U,U_t) = 0     (nonlinear)
1794 .ve
1795 
1796    Level: beginner
1797 
1798 .keywords: TS, problem type
1799 .seealso: TSSetUp(), TSProblemType, TS
1800 @*/
1801 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1802 {
1803   PetscErrorCode ierr;
1804 
1805   PetscFunctionBegin;
1806   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1807   ts->problem_type = type;
1808   if (type == TS_LINEAR) {
1809     SNES snes;
1810     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1811     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1812   }
1813   PetscFunctionReturn(0);
1814 }
1815 
1816 #undef __FUNCT__
1817 #define __FUNCT__ "TSGetProblemType"
1818 /*@C
1819   TSGetProblemType - Gets the type of problem to be solved.
1820 
1821   Not collective
1822 
1823   Input Parameter:
1824 . ts   - The TS
1825 
1826   Output Parameter:
1827 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1828 .vb
1829          M U_t = A U
1830          M(t) U_t = A(t) U
1831          F(t,U,U_t)
1832 .ve
1833 
1834    Level: beginner
1835 
1836 .keywords: TS, problem type
1837 .seealso: TSSetUp(), TSProblemType, TS
1838 @*/
1839 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1840 {
1841   PetscFunctionBegin;
1842   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1843   PetscValidIntPointer(type,2);
1844   *type = ts->problem_type;
1845   PetscFunctionReturn(0);
1846 }
1847 
1848 #undef __FUNCT__
1849 #define __FUNCT__ "TSSetUp"
1850 /*@
1851    TSSetUp - Sets up the internal data structures for the later use
1852    of a timestepper.
1853 
1854    Collective on TS
1855 
1856    Input Parameter:
1857 .  ts - the TS context obtained from TSCreate()
1858 
1859    Notes:
1860    For basic use of the TS solvers the user need not explicitly call
1861    TSSetUp(), since these actions will automatically occur during
1862    the call to TSStep().  However, if one wishes to control this
1863    phase separately, TSSetUp() should be called after TSCreate()
1864    and optional routines of the form TSSetXXX(), but before TSStep().
1865 
1866    Level: advanced
1867 
1868 .keywords: TS, timestep, setup
1869 
1870 .seealso: TSCreate(), TSStep(), TSDestroy()
1871 @*/
1872 PetscErrorCode  TSSetUp(TS ts)
1873 {
1874   PetscErrorCode ierr;
1875   DM             dm;
1876   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1877   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1878   TSIJacobian    ijac;
1879   TSRHSJacobian  rhsjac;
1880 
1881   PetscFunctionBegin;
1882   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1883   if (ts->setupcalled) PetscFunctionReturn(0);
1884 
1885   ts->total_steps = 0;
1886   if (!((PetscObject)ts)->type_name) {
1887     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1888   }
1889 
1890   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1891 
1892 
1893   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1894 
1895   if (ts->rhsjacobian.reuse) {
1896     Mat Amat,Pmat;
1897     SNES snes;
1898     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1899     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1900     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1901      * have displaced the RHS matrix */
1902     if (Amat == ts->Arhs) {
1903       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1904       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1905       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1906     }
1907     if (Pmat == ts->Brhs) {
1908       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1909       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1910       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1911     }
1912   }
1913   if (ts->ops->setup) {
1914     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1915   }
1916 
1917   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1918    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1919    */
1920   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1921   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1922   if (!func) {
1923     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1924   }
1925   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1926      Otherwise, the SNES will use coloring internally to form the Jacobian.
1927    */
1928   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1929   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1930   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1931   if (!jac && (ijac || rhsjac)) {
1932     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1933   }
1934   ts->setupcalled = PETSC_TRUE;
1935   PetscFunctionReturn(0);
1936 }
1937 
1938 #undef __FUNCT__
1939 #define __FUNCT__ "TSAdjointSetUp"
1940 /*@
1941    TSAdjointSetUp - Sets up the internal data structures for the later use
1942    of an adjoint solver
1943 
1944    Collective on TS
1945 
1946    Input Parameter:
1947 .  ts - the TS context obtained from TSCreate()
1948 
1949    Level: advanced
1950 
1951 .keywords: TS, timestep, setup
1952 
1953 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
1954 @*/
1955 PetscErrorCode  TSAdjointSetUp(TS ts)
1956 {
1957   PetscErrorCode ierr;
1958 
1959   PetscFunctionBegin;
1960   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1961   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
1962   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
1963 
1964   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
1965     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
1966     if (ts->vecs_sensip){
1967       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
1968     }
1969   }
1970 
1971   if (ts->ops->adjointsetup) {
1972     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
1973   }
1974   ts->adjointsetupcalled = PETSC_TRUE;
1975   PetscFunctionReturn(0);
1976 }
1977 
1978 #undef __FUNCT__
1979 #define __FUNCT__ "TSReset"
1980 /*@
1981    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1982 
1983    Collective on TS
1984 
1985    Input Parameter:
1986 .  ts - the TS context obtained from TSCreate()
1987 
1988    Level: beginner
1989 
1990 .keywords: TS, timestep, reset
1991 
1992 .seealso: TSCreate(), TSSetup(), TSDestroy()
1993 @*/
1994 PetscErrorCode  TSReset(TS ts)
1995 {
1996   PetscErrorCode ierr;
1997 
1998   PetscFunctionBegin;
1999   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2000 
2001   if (ts->ops->reset) {
2002     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2003   }
2004   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2005   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2006 
2007   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2008   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2009   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2010   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2011   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2012   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2013   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2014 
2015  if (ts->vec_costintegral) {
2016     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2017     if (ts->vecs_drdp){
2018       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2019     }
2020   }
2021   ts->vecs_sensi  = NULL;
2022   ts->vecs_sensip = NULL;
2023   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2024   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2025   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2026   ts->setupcalled = PETSC_FALSE;
2027   PetscFunctionReturn(0);
2028 }
2029 
2030 #undef __FUNCT__
2031 #define __FUNCT__ "TSDestroy"
2032 /*@
2033    TSDestroy - Destroys the timestepper context that was created
2034    with TSCreate().
2035 
2036    Collective on TS
2037 
2038    Input Parameter:
2039 .  ts - the TS context obtained from TSCreate()
2040 
2041    Level: beginner
2042 
2043 .keywords: TS, timestepper, destroy
2044 
2045 .seealso: TSCreate(), TSSetUp(), TSSolve()
2046 @*/
2047 PetscErrorCode  TSDestroy(TS *ts)
2048 {
2049   PetscErrorCode ierr;
2050 
2051   PetscFunctionBegin;
2052   if (!*ts) PetscFunctionReturn(0);
2053   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2054   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2055 
2056   ierr = TSReset((*ts));CHKERRQ(ierr);
2057 
2058   /* if memory was published with SAWs then destroy it */
2059   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2060   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2061 
2062   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2063 
2064   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2065   if ((*ts)->event) {
2066     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2067   }
2068   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2069   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2070   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2071   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2072 
2073   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2074   PetscFunctionReturn(0);
2075 }
2076 
2077 #undef __FUNCT__
2078 #define __FUNCT__ "TSGetSNES"
2079 /*@
2080    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2081    a TS (timestepper) context. Valid only for nonlinear problems.
2082 
2083    Not Collective, but SNES is parallel if TS is parallel
2084 
2085    Input Parameter:
2086 .  ts - the TS context obtained from TSCreate()
2087 
2088    Output Parameter:
2089 .  snes - the nonlinear solver context
2090 
2091    Notes:
2092    The user can then directly manipulate the SNES context to set various
2093    options, etc.  Likewise, the user can then extract and manipulate the
2094    KSP, KSP, and PC contexts as well.
2095 
2096    TSGetSNES() does not work for integrators that do not use SNES; in
2097    this case TSGetSNES() returns NULL in snes.
2098 
2099    Level: beginner
2100 
2101 .keywords: timestep, get, SNES
2102 @*/
2103 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2104 {
2105   PetscErrorCode ierr;
2106 
2107   PetscFunctionBegin;
2108   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2109   PetscValidPointer(snes,2);
2110   if (!ts->snes) {
2111     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2112     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2113     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2114     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2115     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2116     if (ts->problem_type == TS_LINEAR) {
2117       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2118     }
2119   }
2120   *snes = ts->snes;
2121   PetscFunctionReturn(0);
2122 }
2123 
2124 #undef __FUNCT__
2125 #define __FUNCT__ "TSSetSNES"
2126 /*@
2127    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2128 
2129    Collective
2130 
2131    Input Parameter:
2132 +  ts - the TS context obtained from TSCreate()
2133 -  snes - the nonlinear solver context
2134 
2135    Notes:
2136    Most users should have the TS created by calling TSGetSNES()
2137 
2138    Level: developer
2139 
2140 .keywords: timestep, set, SNES
2141 @*/
2142 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2143 {
2144   PetscErrorCode ierr;
2145   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2146 
2147   PetscFunctionBegin;
2148   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2149   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2150   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2151   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2152 
2153   ts->snes = snes;
2154 
2155   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2156   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2157   if (func == SNESTSFormJacobian) {
2158     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2159   }
2160   PetscFunctionReturn(0);
2161 }
2162 
2163 #undef __FUNCT__
2164 #define __FUNCT__ "TSGetKSP"
2165 /*@
2166    TSGetKSP - Returns the KSP (linear solver) associated with
2167    a TS (timestepper) context.
2168 
2169    Not Collective, but KSP is parallel if TS is parallel
2170 
2171    Input Parameter:
2172 .  ts - the TS context obtained from TSCreate()
2173 
2174    Output Parameter:
2175 .  ksp - the nonlinear solver context
2176 
2177    Notes:
2178    The user can then directly manipulate the KSP context to set various
2179    options, etc.  Likewise, the user can then extract and manipulate the
2180    KSP and PC contexts as well.
2181 
2182    TSGetKSP() does not work for integrators that do not use KSP;
2183    in this case TSGetKSP() returns NULL in ksp.
2184 
2185    Level: beginner
2186 
2187 .keywords: timestep, get, KSP
2188 @*/
2189 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2190 {
2191   PetscErrorCode ierr;
2192   SNES           snes;
2193 
2194   PetscFunctionBegin;
2195   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2196   PetscValidPointer(ksp,2);
2197   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2198   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2199   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2200   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2201   PetscFunctionReturn(0);
2202 }
2203 
2204 /* ----------- Routines to set solver parameters ---------- */
2205 
2206 #undef __FUNCT__
2207 #define __FUNCT__ "TSGetDuration"
2208 /*@
2209    TSGetDuration - Gets the maximum number of timesteps to use and
2210    maximum time for iteration.
2211 
2212    Not Collective
2213 
2214    Input Parameters:
2215 +  ts       - the TS context obtained from TSCreate()
2216 .  maxsteps - maximum number of iterations to use, or NULL
2217 -  maxtime  - final time to iterate to, or NULL
2218 
2219    Level: intermediate
2220 
2221 .keywords: TS, timestep, get, maximum, iterations, time
2222 @*/
2223 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2224 {
2225   PetscFunctionBegin;
2226   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2227   if (maxsteps) {
2228     PetscValidIntPointer(maxsteps,2);
2229     *maxsteps = ts->max_steps;
2230   }
2231   if (maxtime) {
2232     PetscValidScalarPointer(maxtime,3);
2233     *maxtime = ts->max_time;
2234   }
2235   PetscFunctionReturn(0);
2236 }
2237 
2238 #undef __FUNCT__
2239 #define __FUNCT__ "TSSetDuration"
2240 /*@
2241    TSSetDuration - Sets the maximum number of timesteps to use and
2242    maximum time for iteration.
2243 
2244    Logically Collective on TS
2245 
2246    Input Parameters:
2247 +  ts - the TS context obtained from TSCreate()
2248 .  maxsteps - maximum number of iterations to use
2249 -  maxtime - final time to iterate to
2250 
2251    Options Database Keys:
2252 .  -ts_max_steps <maxsteps> - Sets maxsteps
2253 .  -ts_final_time <maxtime> - Sets maxtime
2254 
2255    Notes:
2256    The default maximum number of iterations is 5000. Default time is 5.0
2257 
2258    Level: intermediate
2259 
2260 .keywords: TS, timestep, set, maximum, iterations
2261 
2262 .seealso: TSSetExactFinalTime()
2263 @*/
2264 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2265 {
2266   PetscFunctionBegin;
2267   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2268   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2269   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2270   if (maxsteps >= 0) ts->max_steps = maxsteps;
2271   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2272   PetscFunctionReturn(0);
2273 }
2274 
2275 #undef __FUNCT__
2276 #define __FUNCT__ "TSSetSolution"
2277 /*@
2278    TSSetSolution - Sets the initial solution vector
2279    for use by the TS routines.
2280 
2281    Logically Collective on TS and Vec
2282 
2283    Input Parameters:
2284 +  ts - the TS context obtained from TSCreate()
2285 -  u - the solution vector
2286 
2287    Level: beginner
2288 
2289 .keywords: TS, timestep, set, solution, initial conditions
2290 @*/
2291 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2292 {
2293   PetscErrorCode ierr;
2294   DM             dm;
2295 
2296   PetscFunctionBegin;
2297   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2298   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2299   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2300   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2301 
2302   ts->vec_sol = u;
2303 
2304   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2305   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2306   PetscFunctionReturn(0);
2307 }
2308 
2309 #undef __FUNCT__
2310 #define __FUNCT__ "TSAdjointSetSteps"
2311 /*@
2312    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2313 
2314    Logically Collective on TS
2315 
2316    Input Parameters:
2317 +  ts - the TS context obtained from TSCreate()
2318 .  steps - number of steps to use
2319 
2320    Level: intermediate
2321 
2322    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2323           so as to integrate back to less than the original timestep
2324 
2325 .keywords: TS, timestep, set, maximum, iterations
2326 
2327 .seealso: TSSetExactFinalTime()
2328 @*/
2329 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2330 {
2331   PetscFunctionBegin;
2332   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2333   PetscValidLogicalCollectiveInt(ts,steps,2);
2334   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2335   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2336   ts->adjoint_max_steps = steps;
2337   PetscFunctionReturn(0);
2338 }
2339 
2340 #undef __FUNCT__
2341 #define __FUNCT__ "TSSetCostGradients"
2342 /*@
2343    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2344       for use by the TSAdjoint routines.
2345 
2346    Logically Collective on TS and Vec
2347 
2348    Input Parameters:
2349 +  ts - the TS context obtained from TSCreate()
2350 .  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
2351 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2352 
2353    Level: beginner
2354 
2355    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2356 
2357 .keywords: TS, timestep, set, sensitivity, initial conditions
2358 @*/
2359 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2360 {
2361   PetscFunctionBegin;
2362   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2363   PetscValidPointer(lambda,2);
2364   ts->vecs_sensi  = lambda;
2365   ts->vecs_sensip = mu;
2366   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");
2367   ts->numcost  = numcost;
2368   PetscFunctionReturn(0);
2369 }
2370 
2371 #undef __FUNCT__
2372 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2373 /*@C
2374   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.
2375 
2376   Logically Collective on TS
2377 
2378   Input Parameters:
2379 + ts   - The TS context obtained from TSCreate()
2380 - func - The function
2381 
2382   Calling sequence of func:
2383 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2384 +   t - current timestep
2385 .   y - input vector (current ODE solution)
2386 .   A - output matrix
2387 -   ctx - [optional] user-defined function context
2388 
2389   Level: intermediate
2390 
2391   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
2392 
2393 .keywords: TS, sensitivity
2394 .seealso:
2395 @*/
2396 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2397 {
2398   PetscErrorCode ierr;
2399 
2400   PetscFunctionBegin;
2401   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2402   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2403 
2404   ts->rhsjacobianp    = func;
2405   ts->rhsjacobianpctx = ctx;
2406   if(Amat) {
2407     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2408     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2409     ts->Jacp = Amat;
2410   }
2411   PetscFunctionReturn(0);
2412 }
2413 
2414 #undef __FUNCT__
2415 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2416 /*@C
2417   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2418 
2419   Collective on TS
2420 
2421   Input Parameters:
2422 . ts   - The TS context obtained from TSCreate()
2423 
2424   Level: developer
2425 
2426 .keywords: TS, sensitivity
2427 .seealso: TSAdjointSetRHSJacobian()
2428 @*/
2429 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2430 {
2431   PetscErrorCode ierr;
2432 
2433   PetscFunctionBegin;
2434   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2435   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2436   PetscValidPointer(Amat,4);
2437 
2438   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2439   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2440   PetscStackPop;
2441   PetscFunctionReturn(0);
2442 }
2443 
2444 #undef __FUNCT__
2445 #define __FUNCT__ "TSSetCostIntegrand"
2446 /*@C
2447     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2448 
2449     Logically Collective on TS
2450 
2451     Input Parameters:
2452 +   ts - the TS context obtained from TSCreate()
2453 .   numcost - number of gradients to be computed, this is the number of cost functions
2454 .   rf - routine for evaluating the integrand function
2455 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2456 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2457 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2458 
2459     Calling sequence of rf:
2460 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2461 
2462 +   t - current timestep
2463 .   y - input vector
2464 .   f - function result; one vector entry for each cost function
2465 -   ctx - [optional] user-defined function context
2466 
2467    Calling sequence of drdyf:
2468 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2469 
2470    Calling sequence of drdpf:
2471 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2472 
2473     Level: intermediate
2474 
2475     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2476 
2477 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2478 
2479 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
2480 @*/
2481 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost, PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2482                                                                   PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2483                                                                   PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2484 {
2485   PetscErrorCode ierr;
2486 
2487   PetscFunctionBegin;
2488   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2489   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()");
2490   if (!ts->numcost) ts->numcost=numcost;
2491 
2492   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2493   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2494   ts->costintegrand    = rf;
2495   ts->costintegrandctx = ctx;
2496   ts->drdyfunction     = drdyf;
2497   ts->drdpfunction     = drdpf;
2498   PetscFunctionReturn(0);
2499 }
2500 
2501 #undef __FUNCT__
2502 #define __FUNCT__ "TSGetCostIntegral"
2503 /*@
2504    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
2505    It is valid to call the routine after a backward run.
2506 
2507    Not Collective
2508 
2509    Input Parameter:
2510 .  ts - the TS context obtained from TSCreate()
2511 
2512    Output Parameter:
2513 .  v - the vector containing the integrals for each cost function
2514 
2515    Level: intermediate
2516 
2517 .seealso: TSSetCostIntegrand()
2518 
2519 .keywords: TS, sensitivity analysis
2520 @*/
2521 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
2522 {
2523   PetscFunctionBegin;
2524   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2525   PetscValidPointer(v,2);
2526   *v = ts->vec_costintegral;
2527   PetscFunctionReturn(0);
2528 }
2529 
2530 #undef __FUNCT__
2531 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2532 /*@
2533    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
2534 
2535    Input Parameters:
2536 +  ts - the TS context
2537 .  t - current time
2538 -  y - state vector, i.e. current solution
2539 
2540    Output Parameter:
2541 .  q - vector of size numcost to hold the outputs
2542 
2543    Note:
2544    Most users should not need to explicitly call this routine, as it
2545    is used internally within the sensitivity analysis context.
2546 
2547    Level: developer
2548 
2549 .keywords: TS, compute
2550 
2551 .seealso: TSSetCostIntegrand()
2552 @*/
2553 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
2554 {
2555   PetscErrorCode ierr;
2556 
2557   PetscFunctionBegin;
2558   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2559   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2560   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2561 
2562   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2563   if (ts->costintegrand) {
2564     PetscStackPush("TS user integrand in the cost function");
2565     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
2566     PetscStackPop;
2567   } else {
2568     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2569   }
2570 
2571   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2572   PetscFunctionReturn(0);
2573 }
2574 
2575 #undef __FUNCT__
2576 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2577 /*@
2578   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2579 
2580   Collective on TS
2581 
2582   Input Parameters:
2583 . ts   - The TS context obtained from TSCreate()
2584 
2585   Notes:
2586   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2587   so most users would not generally call this routine themselves.
2588 
2589   Level: developer
2590 
2591 .keywords: TS, sensitivity
2592 .seealso: TSAdjointComputeDRDYFunction()
2593 @*/
2594 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
2595 {
2596   PetscErrorCode ierr;
2597 
2598   PetscFunctionBegin;
2599   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2600   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2601 
2602   PetscStackPush("TS user DRDY function for sensitivity analysis");
2603   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
2604   PetscStackPop;
2605   PetscFunctionReturn(0);
2606 }
2607 
2608 #undef __FUNCT__
2609 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2610 /*@
2611   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2612 
2613   Collective on TS
2614 
2615   Input Parameters:
2616 . ts   - The TS context obtained from TSCreate()
2617 
2618   Notes:
2619   TSDRDPFunction() is typically used for sensitivity implementation,
2620   so most users would not generally call this routine themselves.
2621 
2622   Level: developer
2623 
2624 .keywords: TS, sensitivity
2625 .seealso: TSAdjointSetDRDPFunction()
2626 @*/
2627 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
2628 {
2629   PetscErrorCode ierr;
2630 
2631   PetscFunctionBegin;
2632   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2633   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2634 
2635   PetscStackPush("TS user DRDP function for sensitivity analysis");
2636   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
2637   PetscStackPop;
2638   PetscFunctionReturn(0);
2639 }
2640 
2641 #undef __FUNCT__
2642 #define __FUNCT__ "TSSetPreStep"
2643 /*@C
2644   TSSetPreStep - Sets the general-purpose function
2645   called once at the beginning of each time step.
2646 
2647   Logically Collective on TS
2648 
2649   Input Parameters:
2650 + ts   - The TS context obtained from TSCreate()
2651 - func - The function
2652 
2653   Calling sequence of func:
2654 . func (TS ts);
2655 
2656   Level: intermediate
2657 
2658   Note:
2659   If a step is rejected, TSStep() will call this routine again before each attempt.
2660   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2661   size of the step being attempted can be obtained using TSGetTimeStep().
2662 
2663 .keywords: TS, timestep
2664 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2665 @*/
2666 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2667 {
2668   PetscFunctionBegin;
2669   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2670   ts->prestep = func;
2671   PetscFunctionReturn(0);
2672 }
2673 
2674 #undef __FUNCT__
2675 #define __FUNCT__ "TSPreStep"
2676 /*@
2677   TSPreStep - Runs the user-defined pre-step function.
2678 
2679   Collective on TS
2680 
2681   Input Parameters:
2682 . ts   - The TS context obtained from TSCreate()
2683 
2684   Notes:
2685   TSPreStep() is typically used within time stepping implementations,
2686   so most users would not generally call this routine themselves.
2687 
2688   Level: developer
2689 
2690 .keywords: TS, timestep
2691 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2692 @*/
2693 PetscErrorCode  TSPreStep(TS ts)
2694 {
2695   PetscErrorCode ierr;
2696 
2697   PetscFunctionBegin;
2698   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2699   if (ts->prestep) {
2700     PetscStackCallStandard((*ts->prestep),(ts));
2701   }
2702   PetscFunctionReturn(0);
2703 }
2704 
2705 #undef __FUNCT__
2706 #define __FUNCT__ "TSSetPreStage"
2707 /*@C
2708   TSSetPreStage - Sets the general-purpose function
2709   called once at the beginning of each stage.
2710 
2711   Logically Collective on TS
2712 
2713   Input Parameters:
2714 + ts   - The TS context obtained from TSCreate()
2715 - func - The function
2716 
2717   Calling sequence of func:
2718 . PetscErrorCode func(TS ts, PetscReal stagetime);
2719 
2720   Level: intermediate
2721 
2722   Note:
2723   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2724   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2725   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2726 
2727 .keywords: TS, timestep
2728 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2729 @*/
2730 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2731 {
2732   PetscFunctionBegin;
2733   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2734   ts->prestage = func;
2735   PetscFunctionReturn(0);
2736 }
2737 
2738 #undef __FUNCT__
2739 #define __FUNCT__ "TSSetPostStage"
2740 /*@C
2741   TSSetPostStage - Sets the general-purpose function
2742   called once at the end of each stage.
2743 
2744   Logically Collective on TS
2745 
2746   Input Parameters:
2747 + ts   - The TS context obtained from TSCreate()
2748 - func - The function
2749 
2750   Calling sequence of func:
2751 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2752 
2753   Level: intermediate
2754 
2755   Note:
2756   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2757   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2758   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2759 
2760 .keywords: TS, timestep
2761 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2762 @*/
2763 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2764 {
2765   PetscFunctionBegin;
2766   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2767   ts->poststage = func;
2768   PetscFunctionReturn(0);
2769 }
2770 
2771 #undef __FUNCT__
2772 #define __FUNCT__ "TSPreStage"
2773 /*@
2774   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2775 
2776   Collective on TS
2777 
2778   Input Parameters:
2779 . ts          - The TS context obtained from TSCreate()
2780   stagetime   - The absolute time of the current stage
2781 
2782   Notes:
2783   TSPreStage() is typically used within time stepping implementations,
2784   most users would not generally call this routine themselves.
2785 
2786   Level: developer
2787 
2788 .keywords: TS, timestep
2789 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2790 @*/
2791 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2792 {
2793   PetscErrorCode ierr;
2794 
2795   PetscFunctionBegin;
2796   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2797   if (ts->prestage) {
2798     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2799   }
2800   PetscFunctionReturn(0);
2801 }
2802 
2803 #undef __FUNCT__
2804 #define __FUNCT__ "TSPostStage"
2805 /*@
2806   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2807 
2808   Collective on TS
2809 
2810   Input Parameters:
2811 . ts          - The TS context obtained from TSCreate()
2812   stagetime   - The absolute time of the current stage
2813   stageindex  - Stage number
2814   Y           - Array of vectors (of size = total number
2815                 of stages) with the stage solutions
2816 
2817   Notes:
2818   TSPostStage() is typically used within time stepping implementations,
2819   most users would not generally call this routine themselves.
2820 
2821   Level: developer
2822 
2823 .keywords: TS, timestep
2824 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2825 @*/
2826 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2827 {
2828   PetscErrorCode ierr;
2829 
2830   PetscFunctionBegin;
2831   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2832   if (ts->poststage) {
2833     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2834   }
2835   PetscFunctionReturn(0);
2836 }
2837 
2838 #undef __FUNCT__
2839 #define __FUNCT__ "TSSetPostStep"
2840 /*@C
2841   TSSetPostStep - Sets the general-purpose function
2842   called once at the end of each time step.
2843 
2844   Logically Collective on TS
2845 
2846   Input Parameters:
2847 + ts   - The TS context obtained from TSCreate()
2848 - func - The function
2849 
2850   Calling sequence of func:
2851 $ func (TS ts);
2852 
2853   Level: intermediate
2854 
2855 .keywords: TS, timestep
2856 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2857 @*/
2858 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2859 {
2860   PetscFunctionBegin;
2861   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2862   ts->poststep = func;
2863   PetscFunctionReturn(0);
2864 }
2865 
2866 #undef __FUNCT__
2867 #define __FUNCT__ "TSPostStep"
2868 /*@
2869   TSPostStep - Runs the user-defined post-step function.
2870 
2871   Collective on TS
2872 
2873   Input Parameters:
2874 . ts   - The TS context obtained from TSCreate()
2875 
2876   Notes:
2877   TSPostStep() is typically used within time stepping implementations,
2878   so most users would not generally call this routine themselves.
2879 
2880   Level: developer
2881 
2882 .keywords: TS, timestep
2883 @*/
2884 PetscErrorCode  TSPostStep(TS ts)
2885 {
2886   PetscErrorCode ierr;
2887 
2888   PetscFunctionBegin;
2889   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2890   if (ts->poststep) {
2891     PetscStackCallStandard((*ts->poststep),(ts));
2892   }
2893   PetscFunctionReturn(0);
2894 }
2895 
2896 /* ------------ Routines to set performance monitoring options ----------- */
2897 
2898 #undef __FUNCT__
2899 #define __FUNCT__ "TSMonitorSet"
2900 /*@C
2901    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2902    timestep to display the iteration's  progress.
2903 
2904    Logically Collective on TS
2905 
2906    Input Parameters:
2907 +  ts - the TS context obtained from TSCreate()
2908 .  monitor - monitoring routine
2909 .  mctx - [optional] user-defined context for private data for the
2910              monitor routine (use NULL if no context is desired)
2911 -  monitordestroy - [optional] routine that frees monitor context
2912           (may be NULL)
2913 
2914    Calling sequence of monitor:
2915 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2916 
2917 +    ts - the TS context
2918 .    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
2919                                been interpolated to)
2920 .    time - current time
2921 .    u - current iterate
2922 -    mctx - [optional] monitoring context
2923 
2924    Notes:
2925    This routine adds an additional monitor to the list of monitors that
2926    already has been loaded.
2927 
2928    Fortran notes: Only a single monitor function can be set for each TS object
2929 
2930    Level: intermediate
2931 
2932 .keywords: TS, timestep, set, monitor
2933 
2934 .seealso: TSMonitorDefault(), TSMonitorCancel()
2935 @*/
2936 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2937 {
2938   PetscFunctionBegin;
2939   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2940   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2941   ts->monitor[ts->numbermonitors]          = monitor;
2942   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2943   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2944   PetscFunctionReturn(0);
2945 }
2946 
2947 #undef __FUNCT__
2948 #define __FUNCT__ "TSMonitorCancel"
2949 /*@C
2950    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2951 
2952    Logically Collective on TS
2953 
2954    Input Parameters:
2955 .  ts - the TS context obtained from TSCreate()
2956 
2957    Notes:
2958    There is no way to remove a single, specific monitor.
2959 
2960    Level: intermediate
2961 
2962 .keywords: TS, timestep, set, monitor
2963 
2964 .seealso: TSMonitorDefault(), TSMonitorSet()
2965 @*/
2966 PetscErrorCode  TSMonitorCancel(TS ts)
2967 {
2968   PetscErrorCode ierr;
2969   PetscInt       i;
2970 
2971   PetscFunctionBegin;
2972   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2973   for (i=0; i<ts->numbermonitors; i++) {
2974     if (ts->monitordestroy[i]) {
2975       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2976     }
2977   }
2978   ts->numbermonitors = 0;
2979   PetscFunctionReturn(0);
2980 }
2981 
2982 #undef __FUNCT__
2983 #define __FUNCT__ "TSMonitorDefault"
2984 /*@
2985    TSMonitorDefault - Sets the Default monitor
2986 
2987    Level: intermediate
2988 
2989 .keywords: TS, set, monitor
2990 
2991 .seealso: TSMonitorDefault(), TSMonitorSet()
2992 @*/
2993 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2994 {
2995   PetscErrorCode ierr;
2996   PetscViewer    viewer =  (PetscViewer) dummy;
2997 
2998   PetscFunctionBegin;
2999   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3000   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3001   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3002   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3003   PetscFunctionReturn(0);
3004 }
3005 
3006 #undef __FUNCT__
3007 #define __FUNCT__ "TSAdjointMonitorSet"
3008 /*@C
3009    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3010    timestep to display the iteration's  progress.
3011 
3012    Logically Collective on TS
3013 
3014    Input Parameters:
3015 +  ts - the TS context obtained from TSCreate()
3016 .  adjointmonitor - monitoring routine
3017 .  adjointmctx - [optional] user-defined context for private data for the
3018              monitor routine (use NULL if no context is desired)
3019 -  adjointmonitordestroy - [optional] routine that frees monitor context
3020           (may be NULL)
3021 
3022    Calling sequence of monitor:
3023 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3024 
3025 +    ts - the TS context
3026 .    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
3027                                been interpolated to)
3028 .    time - current time
3029 .    u - current iterate
3030 .    numcost - number of cost functionos
3031 .    lambda - sensitivities to initial conditions
3032 .    mu - sensitivities to parameters
3033 -    adjointmctx - [optional] adjoint monitoring context
3034 
3035    Notes:
3036    This routine adds an additional monitor to the list of monitors that
3037    already has been loaded.
3038 
3039    Fortran notes: Only a single monitor function can be set for each TS object
3040 
3041    Level: intermediate
3042 
3043 .keywords: TS, timestep, set, adjoint, monitor
3044 
3045 .seealso: TSAdjointMonitorCancel()
3046 @*/
3047 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3048 {
3049   PetscFunctionBegin;
3050   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3051   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3052   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3053   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3054   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3055   PetscFunctionReturn(0);
3056 }
3057 
3058 #undef __FUNCT__
3059 #define __FUNCT__ "TSAdjointMonitorCancel"
3060 /*@C
3061    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3062 
3063    Logically Collective on TS
3064 
3065    Input Parameters:
3066 .  ts - the TS context obtained from TSCreate()
3067 
3068    Notes:
3069    There is no way to remove a single, specific monitor.
3070 
3071    Level: intermediate
3072 
3073 .keywords: TS, timestep, set, adjoint, monitor
3074 
3075 .seealso: TSAdjointMonitorSet()
3076 @*/
3077 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3078 {
3079   PetscErrorCode ierr;
3080   PetscInt       i;
3081 
3082   PetscFunctionBegin;
3083   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3084   for (i=0; i<ts->numberadjointmonitors; i++) {
3085     if (ts->adjointmonitordestroy[i]) {
3086       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3087     }
3088   }
3089   ts->numberadjointmonitors = 0;
3090   PetscFunctionReturn(0);
3091 }
3092 
3093 #undef __FUNCT__
3094 #define __FUNCT__ "TSAdjointMonitorDefault"
3095 /*@
3096    TSAdjointMonitorDefault - Sets the Default monitor
3097 
3098    Level: intermediate
3099 
3100 .keywords: TS, set, monitor
3101 
3102 .seealso: TSAdjointMonitorSet()
3103 @*/
3104 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
3105 {
3106   PetscErrorCode ierr;
3107   PetscViewer    viewer =  (PetscViewer) dummy;
3108 
3109   PetscFunctionBegin;
3110   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3111   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3112   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3113   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3114   PetscFunctionReturn(0);
3115 }
3116 
3117 #undef __FUNCT__
3118 #define __FUNCT__ "TSSetRetainStages"
3119 /*@
3120    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
3121 
3122    Logically Collective on TS
3123 
3124    Input Argument:
3125 .  ts - time stepping context
3126 
3127    Output Argument:
3128 .  flg - PETSC_TRUE or PETSC_FALSE
3129 
3130    Level: intermediate
3131 
3132 .keywords: TS, set
3133 
3134 .seealso: TSInterpolate(), TSSetPostStep()
3135 @*/
3136 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
3137 {
3138   PetscFunctionBegin;
3139   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3140   ts->retain_stages = flg;
3141   PetscFunctionReturn(0);
3142 }
3143 
3144 #undef __FUNCT__
3145 #define __FUNCT__ "TSInterpolate"
3146 /*@
3147    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3148 
3149    Collective on TS
3150 
3151    Input Argument:
3152 +  ts - time stepping context
3153 -  t - time to interpolate to
3154 
3155    Output Argument:
3156 .  U - state at given time
3157 
3158    Notes:
3159    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
3160 
3161    Level: intermediate
3162 
3163    Developer Notes:
3164    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3165 
3166 .keywords: TS, set
3167 
3168 .seealso: TSSetRetainStages(), TSSetPostStep()
3169 @*/
3170 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3171 {
3172   PetscErrorCode ierr;
3173 
3174   PetscFunctionBegin;
3175   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3176   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3177   if (t < ts->ptime - ts->time_step_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-ts->time_step_prev),(double)ts->ptime);
3178   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3179   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3180   PetscFunctionReturn(0);
3181 }
3182 
3183 #undef __FUNCT__
3184 #define __FUNCT__ "TSStep"
3185 /*@
3186    TSStep - Steps one time step
3187 
3188    Collective on TS
3189 
3190    Input Parameter:
3191 .  ts - the TS context obtained from TSCreate()
3192 
3193    Level: developer
3194 
3195    Notes:
3196    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3197 
3198    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3199    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3200 
3201    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3202    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3203 
3204 .keywords: TS, timestep, solve
3205 
3206 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3207 @*/
3208 PetscErrorCode  TSStep(TS ts)
3209 {
3210   DM               dm;
3211   PetscErrorCode   ierr;
3212   static PetscBool cite = PETSC_FALSE;
3213 
3214   PetscFunctionBegin;
3215   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3216   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3217                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3218                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3219                                 "  type        = {Preprint},\n"
3220                                 "  number      = {ANL/MCS-P5061-0114},\n"
3221                                 "  institution = {Argonne National Laboratory},\n"
3222                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3223 
3224   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3225   ierr = TSSetUp(ts);CHKERRQ(ierr);
3226 
3227   ts->reason = TS_CONVERGED_ITERATING;
3228   ts->ptime_prev = ts->ptime;
3229   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3230 
3231   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3232   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3233   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3234   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3235 
3236   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3237   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3238 
3239   if (ts->reason < 0) {
3240     if (ts->errorifstepfailed) {
3241       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]);
3242       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3243     }
3244   } else if (!ts->reason) {
3245     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3246     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3247   }
3248   ts->total_steps++;
3249   ts->steprollback = PETSC_FALSE;
3250   PetscFunctionReturn(0);
3251 }
3252 
3253 #undef __FUNCT__
3254 #define __FUNCT__ "TSAdjointStep"
3255 /*@
3256    TSAdjointStep - Steps one time step backward in the adjoint run
3257 
3258    Collective on TS
3259 
3260    Input Parameter:
3261 .  ts - the TS context obtained from TSCreate()
3262 
3263    Level: intermediate
3264 
3265 .keywords: TS, adjoint, step
3266 
3267 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3268 @*/
3269 PetscErrorCode  TSAdjointStep(TS ts)
3270 {
3271   DM               dm;
3272   PetscErrorCode   ierr;
3273 
3274   PetscFunctionBegin;
3275   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3276   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3277   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3278 
3279   ts->reason = TS_CONVERGED_ITERATING;
3280   ts->ptime_prev = ts->ptime;
3281   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3282   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts, "-ts_view_solution");CHKERRQ(ierr);
3283 
3284   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3285   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);
3286   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3287   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3288 
3289   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3290   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3291 
3292   if (ts->reason < 0) {
3293     if (ts->errorifstepfailed) {
3294       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
3295         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]);
3296       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
3297         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]);
3298       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3299     }
3300   } else if (!ts->reason) {
3301     if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3302     else if (ts->ptime >= ts->max_time)         ts->reason = TS_CONVERGED_TIME;
3303   }
3304   ts->total_steps--;
3305   PetscFunctionReturn(0);
3306 }
3307 
3308 #undef __FUNCT__
3309 #define __FUNCT__ "TSEvaluateStep"
3310 /*@
3311    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3312 
3313    Collective on TS
3314 
3315    Input Arguments:
3316 +  ts - time stepping context
3317 .  order - desired order of accuracy
3318 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3319 
3320    Output Arguments:
3321 .  U - state at the end of the current step
3322 
3323    Level: advanced
3324 
3325    Notes:
3326    This function cannot be called until all stages have been evaluated.
3327    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.
3328 
3329 .seealso: TSStep(), TSAdapt
3330 @*/
3331 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3332 {
3333   PetscErrorCode ierr;
3334 
3335   PetscFunctionBegin;
3336   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3337   PetscValidType(ts,1);
3338   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3339   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3340   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3341   PetscFunctionReturn(0);
3342 }
3343 
3344 
3345 #undef __FUNCT__
3346 #define __FUNCT__ "TSSolve"
3347 /*@
3348    TSSolve - Steps the requested number of timesteps.
3349 
3350    Collective on TS
3351 
3352    Input Parameter:
3353 +  ts - the TS context obtained from TSCreate()
3354 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
3355 
3356    Level: beginner
3357 
3358    Notes:
3359    The final time returned by this function may be different from the time of the internally
3360    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3361    stepped over the final time.
3362 
3363 .keywords: TS, timestep, solve
3364 
3365 .seealso: TSCreate(), TSSetSolution(), TSStep()
3366 @*/
3367 PetscErrorCode TSSolve(TS ts,Vec u)
3368 {
3369   Vec               solution;
3370   PetscErrorCode    ierr;
3371 
3372   PetscFunctionBegin;
3373   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3374   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3375   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 */
3376     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3377     if (!ts->vec_sol || u == ts->vec_sol) {
3378       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3379       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3380       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3381     }
3382     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3383   } else if (u) {
3384     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3385   }
3386   ierr = TSSetUp(ts);CHKERRQ(ierr);
3387   /* reset time step and iteration counters */
3388   ts->steps             = 0;
3389   ts->ksp_its           = 0;
3390   ts->snes_its          = 0;
3391   ts->num_snes_failures = 0;
3392   ts->reject            = 0;
3393   ts->reason            = TS_CONVERGED_ITERATING;
3394 
3395   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3396   {
3397     DM dm;
3398     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3399     ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3400   }
3401 
3402   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
3403     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3404     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
3405     ts->solvetime = ts->ptime;
3406   } else {
3407     /* steps the requested number of timesteps. */
3408     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3409     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3410     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3411     if (ts->vec_costintegral) ts->costintegralfwd=PETSC_TRUE;
3412     if(ts->event) {
3413       ierr = TSEventMonitorInitialize(ts);CHKERRQ(ierr);
3414     }
3415     while (!ts->reason) {
3416       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3417       ierr = TSStep(ts);CHKERRQ(ierr);
3418       if (ts->event) {
3419 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3420       }
3421       if(!ts->steprollback) {
3422 	ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3423 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3424       }
3425     }
3426     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3427       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3428       ts->solvetime = ts->max_time;
3429       solution = u;
3430     } else {
3431       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3432       ts->solvetime = ts->ptime;
3433       solution = ts->vec_sol;
3434     }
3435     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3436     ierr = VecViewFromOptions(solution,(PetscObject) ts,"-ts_view_solution");CHKERRQ(ierr);
3437   }
3438 
3439   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3440   ierr = VecViewFromOptions(ts->vec_sol,NULL,"-ts_view_solution");CHKERRQ(ierr);
3441   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3442   if (ts->adjoint_solve) {
3443     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
3444   }
3445   PetscFunctionReturn(0);
3446 }
3447 
3448 #undef __FUNCT__
3449 #define __FUNCT__ "TSAdjointSolve"
3450 /*@
3451    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
3452 
3453    Collective on TS
3454 
3455    Input Parameter:
3456 .  ts - the TS context obtained from TSCreate()
3457 
3458    Options Database:
3459 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
3460 
3461    Level: intermediate
3462 
3463    Notes:
3464    This must be called after a call to TSSolve() that solves the forward problem
3465 
3466    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
3467 
3468 .keywords: TS, timestep, solve
3469 
3470 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
3471 @*/
3472 PetscErrorCode TSAdjointSolve(TS ts)
3473 {
3474   PetscErrorCode    ierr;
3475 
3476   PetscFunctionBegin;
3477   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3478   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3479   /* reset time step and iteration counters */
3480   ts->steps             = 0;
3481   ts->ksp_its           = 0;
3482   ts->snes_its          = 0;
3483   ts->num_snes_failures = 0;
3484   ts->reject            = 0;
3485   ts->reason            = TS_CONVERGED_ITERATING;
3486 
3487   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
3488 
3489   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3490   while (!ts->reason) {
3491     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
3492     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
3493     if (ts->event) {
3494       ierr = TSAdjointEventMonitor(ts);CHKERRQ(ierr);
3495     }
3496     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
3497   }
3498   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
3499   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
3500   ts->solvetime = ts->ptime;
3501   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
3502   PetscFunctionReturn(0);
3503 }
3504 
3505 #undef __FUNCT__
3506 #define __FUNCT__ "TSMonitor"
3507 /*@
3508    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3509 
3510    Collective on TS
3511 
3512    Input Parameters:
3513 +  ts - time stepping context obtained from TSCreate()
3514 .  step - step number that has just completed
3515 .  ptime - model time of the state
3516 -  u - state at the current model time
3517 
3518    Notes:
3519    TSMonitor() is typically used within the time stepping implementations.
3520    Users might call this function when using the TSStep() interface instead of TSSolve().
3521 
3522    Level: advanced
3523 
3524 .keywords: TS, timestep
3525 @*/
3526 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3527 {
3528   PetscErrorCode ierr;
3529   PetscInt       i,n = ts->numbermonitors;
3530 
3531   PetscFunctionBegin;
3532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3533   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3534   ierr = VecLockPush(u);CHKERRQ(ierr);
3535   for (i=0; i<n; i++) {
3536     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3537   }
3538   ierr = VecLockPop(u);CHKERRQ(ierr);
3539   PetscFunctionReturn(0);
3540 }
3541 
3542 #undef __FUNCT__
3543 #define __FUNCT__ "TSAdjointMonitor"
3544 /*@
3545    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
3546 
3547    Collective on TS
3548 
3549    Input Parameters:
3550 +  ts - time stepping context obtained from TSCreate()
3551 .  step - step number that has just completed
3552 .  ptime - model time of the state
3553 .  u - state at the current model time
3554 .  numcost - number of cost functions (dimension of lambda  or mu)
3555 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
3556 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
3557 
3558    Notes:
3559    TSAdjointMonitor() is typically used within the adjoint implementations.
3560    Users might call this function when using the TSAdjointStep() interface instead of TSAdjointSolve().
3561 
3562    Level: advanced
3563 
3564 .keywords: TS, timestep
3565 @*/
3566 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
3567 {
3568   PetscErrorCode ierr;
3569   PetscInt       i,n = ts->numberadjointmonitors;
3570 
3571   PetscFunctionBegin;
3572   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3573   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3574   ierr = VecLockPush(u);CHKERRQ(ierr);
3575   for (i=0; i<n; i++) {
3576     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3577   }
3578   ierr = VecLockPop(u);CHKERRQ(ierr);
3579   PetscFunctionReturn(0);
3580 }
3581 
3582 /* ------------------------------------------------------------------------*/
3583 #undef __FUNCT__
3584 #define __FUNCT__ "TSMonitorLGCtxCreate"
3585 /*@C
3586    TSMonitorLGCtxCreate - Creates a line graph context for use with
3587    TS to monitor the solution process graphically in various ways
3588 
3589    Collective on TS
3590 
3591    Input Parameters:
3592 +  host - the X display to open, or null for the local machine
3593 .  label - the title to put in the title bar
3594 .  x, y - the screen coordinates of the upper left coordinate of the window
3595 .  m, n - the screen width and height in pixels
3596 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3597 
3598    Output Parameter:
3599 .  ctx - the context
3600 
3601    Options Database Key:
3602 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3603 .  -ts_monitor_lg_solution -
3604 .  -ts_monitor_lg_error -
3605 .  -ts_monitor_lg_ksp_iterations -
3606 .  -ts_monitor_lg_snes_iterations -
3607 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
3608 
3609    Notes:
3610    Use TSMonitorLGCtxDestroy() to destroy.
3611 
3612    Level: intermediate
3613 
3614 .keywords: TS, monitor, line graph, residual, seealso
3615 
3616 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3617 
3618 @*/
3619 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3620 {
3621   PetscDraw      win;
3622   PetscErrorCode ierr;
3623 
3624   PetscFunctionBegin;
3625   ierr = PetscNew(ctx);CHKERRQ(ierr);
3626   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3627   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3628   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3629   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3630   ierr = PetscDrawLGSetUseMarkers((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3631   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3632   (*ctx)->howoften = howoften;
3633   PetscFunctionReturn(0);
3634 }
3635 
3636 #undef __FUNCT__
3637 #define __FUNCT__ "TSMonitorLGTimeStep"
3638 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3639 {
3640   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3641   PetscReal      x   = ptime,y;
3642   PetscErrorCode ierr;
3643 
3644   PetscFunctionBegin;
3645   if (!step) {
3646     PetscDrawAxis axis;
3647     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3648     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3649     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3650   }
3651   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3652   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3653   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3654     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3655   }
3656   PetscFunctionReturn(0);
3657 }
3658 
3659 #undef __FUNCT__
3660 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3661 /*@C
3662    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3663    with TSMonitorLGCtxCreate().
3664 
3665    Collective on TSMonitorLGCtx
3666 
3667    Input Parameter:
3668 .  ctx - the monitor context
3669 
3670    Level: intermediate
3671 
3672 .keywords: TS, monitor, line graph, destroy
3673 
3674 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3675 @*/
3676 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3677 {
3678   PetscDraw      draw;
3679   PetscErrorCode ierr;
3680 
3681   PetscFunctionBegin;
3682   if ((*ctx)->transformdestroy) {
3683     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
3684   }
3685   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3686   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3687   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3688   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
3689   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
3690   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
3691   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
3692   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3693   PetscFunctionReturn(0);
3694 }
3695 
3696 #undef __FUNCT__
3697 #define __FUNCT__ "TSGetTime"
3698 /*@
3699    TSGetTime - Gets the time of the most recently completed step.
3700 
3701    Not Collective
3702 
3703    Input Parameter:
3704 .  ts - the TS context obtained from TSCreate()
3705 
3706    Output Parameter:
3707 .  t  - the current time
3708 
3709    Level: beginner
3710 
3711    Note:
3712    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3713    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3714 
3715 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3716 
3717 .keywords: TS, get, time
3718 @*/
3719 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3720 {
3721   PetscFunctionBegin;
3722   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3723   PetscValidRealPointer(t,2);
3724   *t = ts->ptime;
3725   PetscFunctionReturn(0);
3726 }
3727 
3728 #undef __FUNCT__
3729 #define __FUNCT__ "TSGetPrevTime"
3730 /*@
3731    TSGetPrevTime - Gets the starting time of the previously completed step.
3732 
3733    Not Collective
3734 
3735    Input Parameter:
3736 .  ts - the TS context obtained from TSCreate()
3737 
3738    Output Parameter:
3739 .  t  - the previous time
3740 
3741    Level: beginner
3742 
3743 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3744 
3745 .keywords: TS, get, time
3746 @*/
3747 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3748 {
3749   PetscFunctionBegin;
3750   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3751   PetscValidRealPointer(t,2);
3752   *t = ts->ptime_prev;
3753   PetscFunctionReturn(0);
3754 }
3755 
3756 #undef __FUNCT__
3757 #define __FUNCT__ "TSSetTime"
3758 /*@
3759    TSSetTime - Allows one to reset the time.
3760 
3761    Logically Collective on TS
3762 
3763    Input Parameters:
3764 +  ts - the TS context obtained from TSCreate()
3765 -  time - the time
3766 
3767    Level: intermediate
3768 
3769 .seealso: TSGetTime(), TSSetDuration()
3770 
3771 .keywords: TS, set, time
3772 @*/
3773 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3774 {
3775   PetscFunctionBegin;
3776   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3777   PetscValidLogicalCollectiveReal(ts,t,2);
3778   ts->ptime = t;
3779   PetscFunctionReturn(0);
3780 }
3781 
3782 #undef __FUNCT__
3783 #define __FUNCT__ "TSSetOptionsPrefix"
3784 /*@C
3785    TSSetOptionsPrefix - Sets the prefix used for searching for all
3786    TS options in the database.
3787 
3788    Logically Collective on TS
3789 
3790    Input Parameter:
3791 +  ts     - The TS context
3792 -  prefix - The prefix to prepend to all option names
3793 
3794    Notes:
3795    A hyphen (-) must NOT be given at the beginning of the prefix name.
3796    The first character of all runtime options is AUTOMATICALLY the
3797    hyphen.
3798 
3799    Level: advanced
3800 
3801 .keywords: TS, set, options, prefix, database
3802 
3803 .seealso: TSSetFromOptions()
3804 
3805 @*/
3806 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3807 {
3808   PetscErrorCode ierr;
3809   SNES           snes;
3810 
3811   PetscFunctionBegin;
3812   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3813   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3814   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3815   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3816   PetscFunctionReturn(0);
3817 }
3818 
3819 
3820 #undef __FUNCT__
3821 #define __FUNCT__ "TSAppendOptionsPrefix"
3822 /*@C
3823    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3824    TS options in the database.
3825 
3826    Logically Collective on TS
3827 
3828    Input Parameter:
3829 +  ts     - The TS context
3830 -  prefix - The prefix to prepend to all option names
3831 
3832    Notes:
3833    A hyphen (-) must NOT be given at the beginning of the prefix name.
3834    The first character of all runtime options is AUTOMATICALLY the
3835    hyphen.
3836 
3837    Level: advanced
3838 
3839 .keywords: TS, append, options, prefix, database
3840 
3841 .seealso: TSGetOptionsPrefix()
3842 
3843 @*/
3844 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3845 {
3846   PetscErrorCode ierr;
3847   SNES           snes;
3848 
3849   PetscFunctionBegin;
3850   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3851   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3852   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3853   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3854   PetscFunctionReturn(0);
3855 }
3856 
3857 #undef __FUNCT__
3858 #define __FUNCT__ "TSGetOptionsPrefix"
3859 /*@C
3860    TSGetOptionsPrefix - Sets the prefix used for searching for all
3861    TS options in the database.
3862 
3863    Not Collective
3864 
3865    Input Parameter:
3866 .  ts - The TS context
3867 
3868    Output Parameter:
3869 .  prefix - A pointer to the prefix string used
3870 
3871    Notes: On the fortran side, the user should pass in a string 'prifix' of
3872    sufficient length to hold the prefix.
3873 
3874    Level: intermediate
3875 
3876 .keywords: TS, get, options, prefix, database
3877 
3878 .seealso: TSAppendOptionsPrefix()
3879 @*/
3880 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3881 {
3882   PetscErrorCode ierr;
3883 
3884   PetscFunctionBegin;
3885   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3886   PetscValidPointer(prefix,2);
3887   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3888   PetscFunctionReturn(0);
3889 }
3890 
3891 #undef __FUNCT__
3892 #define __FUNCT__ "TSGetRHSJacobian"
3893 /*@C
3894    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3895 
3896    Not Collective, but parallel objects are returned if TS is parallel
3897 
3898    Input Parameter:
3899 .  ts  - The TS context obtained from TSCreate()
3900 
3901    Output Parameters:
3902 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3903 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3904 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3905 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3906 
3907    Notes: You can pass in NULL for any return argument you do not need.
3908 
3909    Level: intermediate
3910 
3911 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3912 
3913 .keywords: TS, timestep, get, matrix, Jacobian
3914 @*/
3915 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3916 {
3917   PetscErrorCode ierr;
3918   SNES           snes;
3919   DM             dm;
3920 
3921   PetscFunctionBegin;
3922   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3923   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3924   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3925   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3926   PetscFunctionReturn(0);
3927 }
3928 
3929 #undef __FUNCT__
3930 #define __FUNCT__ "TSGetIJacobian"
3931 /*@C
3932    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3933 
3934    Not Collective, but parallel objects are returned if TS is parallel
3935 
3936    Input Parameter:
3937 .  ts  - The TS context obtained from TSCreate()
3938 
3939    Output Parameters:
3940 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3941 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3942 .  f   - The function to compute the matrices
3943 - ctx - User-defined context for Jacobian evaluation routine
3944 
3945    Notes: You can pass in NULL for any return argument you do not need.
3946 
3947    Level: advanced
3948 
3949 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3950 
3951 .keywords: TS, timestep, get, matrix, Jacobian
3952 @*/
3953 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3954 {
3955   PetscErrorCode ierr;
3956   SNES           snes;
3957   DM             dm;
3958 
3959   PetscFunctionBegin;
3960   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3961   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3962   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3963   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3964   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3965   PetscFunctionReturn(0);
3966 }
3967 
3968 
3969 #undef __FUNCT__
3970 #define __FUNCT__ "TSMonitorDrawSolution"
3971 /*@C
3972    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3973    VecView() for the solution at each timestep
3974 
3975    Collective on TS
3976 
3977    Input Parameters:
3978 +  ts - the TS context
3979 .  step - current time-step
3980 .  ptime - current time
3981 -  dummy - either a viewer or NULL
3982 
3983    Options Database:
3984 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3985 
3986    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3987        will look bad
3988 
3989    Level: intermediate
3990 
3991 .keywords: TS,  vector, monitor, view
3992 
3993 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3994 @*/
3995 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3996 {
3997   PetscErrorCode   ierr;
3998   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3999   PetscDraw        draw;
4000 
4001   PetscFunctionBegin;
4002   if (!step && ictx->showinitial) {
4003     if (!ictx->initialsolution) {
4004       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4005     }
4006     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4007   }
4008   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4009 
4010   if (ictx->showinitial) {
4011     PetscReal pause;
4012     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4013     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4014     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4015     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4016     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4017   }
4018   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4019   if (ictx->showtimestepandtime) {
4020     PetscReal xl,yl,xr,yr,h;
4021     char      time[32];
4022 
4023     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4024     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4025     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4026     h    = yl + .95*(yr - yl);
4027     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4028     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4029   }
4030 
4031   if (ictx->showinitial) {
4032     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4033   }
4034   PetscFunctionReturn(0);
4035 }
4036 
4037 #undef __FUNCT__
4038 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4039 /*@C
4040    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4041    VecView() for the sensitivities to initial states at each timestep
4042 
4043    Collective on TS
4044 
4045    Input Parameters:
4046 +  ts - the TS context
4047 .  step - current time-step
4048 .  ptime - current time
4049 .  u - current state
4050 .  numcost - number of cost functions
4051 .  lambda - sensitivities to initial conditions
4052 .  mu - sensitivities to parameters
4053 -  dummy - either a viewer or NULL
4054 
4055    Level: intermediate
4056 
4057 .keywords: TS,  vector, adjoint, monitor, view
4058 
4059 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4060 @*/
4061 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4062 {
4063   PetscErrorCode   ierr;
4064   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4065   PetscDraw        draw;
4066   PetscReal        xl,yl,xr,yr,h;
4067   char             time[32];
4068 
4069   PetscFunctionBegin;
4070   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4071 
4072   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4073   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4074   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4075   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4076   h    = yl + .95*(yr - yl);
4077   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4078   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4079 
4080   PetscFunctionReturn(0);
4081 }
4082 
4083 #undef __FUNCT__
4084 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4085 /*@C
4086    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4087 
4088    Collective on TS
4089 
4090    Input Parameters:
4091 +  ts - the TS context
4092 .  step - current time-step
4093 .  ptime - current time
4094 -  dummy - either a viewer or NULL
4095 
4096    Level: intermediate
4097 
4098 .keywords: TS,  vector, monitor, view
4099 
4100 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4101 @*/
4102 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4103 {
4104   PetscErrorCode    ierr;
4105   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4106   PetscDraw         draw;
4107   MPI_Comm          comm;
4108   PetscInt          n;
4109   PetscMPIInt       size;
4110   PetscReal         xl,yl,xr,yr,h;
4111   char              time[32];
4112   const PetscScalar *U;
4113 
4114   PetscFunctionBegin;
4115   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
4116   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4117   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
4118   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4119   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4120 
4121   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4122 
4123   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4124   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4125   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
4126       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4127       PetscFunctionReturn(0);
4128   }
4129   if (!step) ictx->color++;
4130   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
4131   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4132 
4133   if (ictx->showtimestepandtime) {
4134     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4135     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4136     h    = yl + .95*(yr - yl);
4137     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4138   }
4139   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4140   PetscFunctionReturn(0);
4141 }
4142 
4143 
4144 #undef __FUNCT__
4145 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4146 /*@C
4147    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4148 
4149    Collective on TS
4150 
4151    Input Parameters:
4152 .    ctx - the monitor context
4153 
4154    Level: intermediate
4155 
4156 .keywords: TS,  vector, monitor, view
4157 
4158 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4159 @*/
4160 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4161 {
4162   PetscErrorCode ierr;
4163 
4164   PetscFunctionBegin;
4165   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
4166   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4167   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4168   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4169   PetscFunctionReturn(0);
4170 }
4171 
4172 #undef __FUNCT__
4173 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4174 /*@C
4175    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4176 
4177    Collective on TS
4178 
4179    Input Parameter:
4180 .    ts - time-step context
4181 
4182    Output Patameter:
4183 .    ctx - the monitor context
4184 
4185    Options Database:
4186 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4187 
4188    Level: intermediate
4189 
4190 .keywords: TS,  vector, monitor, view
4191 
4192 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4193 @*/
4194 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4195 {
4196   PetscErrorCode   ierr;
4197 
4198   PetscFunctionBegin;
4199   ierr = PetscNew(ctx);CHKERRQ(ierr);
4200   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4201   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4202 
4203   (*ctx)->howoften    = howoften;
4204   (*ctx)->showinitial = PETSC_FALSE;
4205   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4206 
4207   (*ctx)->showtimestepandtime = PETSC_FALSE;
4208   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4209   (*ctx)->color = PETSC_DRAW_WHITE;
4210   PetscFunctionReturn(0);
4211 }
4212 
4213 #undef __FUNCT__
4214 #define __FUNCT__ "TSMonitorDrawError"
4215 /*@C
4216    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4217    VecView() for the error at each timestep
4218 
4219    Collective on TS
4220 
4221    Input Parameters:
4222 +  ts - the TS context
4223 .  step - current time-step
4224 .  ptime - current time
4225 -  dummy - either a viewer or NULL
4226 
4227    Level: intermediate
4228 
4229 .keywords: TS,  vector, monitor, view
4230 
4231 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4232 @*/
4233 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4234 {
4235   PetscErrorCode   ierr;
4236   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4237   PetscViewer      viewer = ctx->viewer;
4238   Vec              work;
4239 
4240   PetscFunctionBegin;
4241   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4242   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4243   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4244   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4245   ierr = VecView(work,viewer);CHKERRQ(ierr);
4246   ierr = VecDestroy(&work);CHKERRQ(ierr);
4247   PetscFunctionReturn(0);
4248 }
4249 
4250 #include <petsc/private/dmimpl.h>
4251 #undef __FUNCT__
4252 #define __FUNCT__ "TSSetDM"
4253 /*@
4254    TSSetDM - Sets the DM that may be used by some preconditioners
4255 
4256    Logically Collective on TS and DM
4257 
4258    Input Parameters:
4259 +  ts - the preconditioner context
4260 -  dm - the dm
4261 
4262    Level: intermediate
4263 
4264 
4265 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4266 @*/
4267 PetscErrorCode  TSSetDM(TS ts,DM dm)
4268 {
4269   PetscErrorCode ierr;
4270   SNES           snes;
4271   DMTS           tsdm;
4272 
4273   PetscFunctionBegin;
4274   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4275   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4276   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4277     if (ts->dm->dmts && !dm->dmts) {
4278       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4279       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4280       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4281         tsdm->originaldm = dm;
4282       }
4283     }
4284     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4285   }
4286   ts->dm = dm;
4287 
4288   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4289   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4290   PetscFunctionReturn(0);
4291 }
4292 
4293 #undef __FUNCT__
4294 #define __FUNCT__ "TSGetDM"
4295 /*@
4296    TSGetDM - Gets the DM that may be used by some preconditioners
4297 
4298    Not Collective
4299 
4300    Input Parameter:
4301 . ts - the preconditioner context
4302 
4303    Output Parameter:
4304 .  dm - the dm
4305 
4306    Level: intermediate
4307 
4308 
4309 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4310 @*/
4311 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4312 {
4313   PetscErrorCode ierr;
4314 
4315   PetscFunctionBegin;
4316   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4317   if (!ts->dm) {
4318     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4319     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4320   }
4321   *dm = ts->dm;
4322   PetscFunctionReturn(0);
4323 }
4324 
4325 #undef __FUNCT__
4326 #define __FUNCT__ "SNESTSFormFunction"
4327 /*@
4328    SNESTSFormFunction - Function to evaluate nonlinear residual
4329 
4330    Logically Collective on SNES
4331 
4332    Input Parameter:
4333 + snes - nonlinear solver
4334 . U - the current state at which to evaluate the residual
4335 - ctx - user context, must be a TS
4336 
4337    Output Parameter:
4338 . F - the nonlinear residual
4339 
4340    Notes:
4341    This function is not normally called by users and is automatically registered with the SNES used by TS.
4342    It is most frequently passed to MatFDColoringSetFunction().
4343 
4344    Level: advanced
4345 
4346 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4347 @*/
4348 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4349 {
4350   TS             ts = (TS)ctx;
4351   PetscErrorCode ierr;
4352 
4353   PetscFunctionBegin;
4354   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4355   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4356   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4357   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4358   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4359   PetscFunctionReturn(0);
4360 }
4361 
4362 #undef __FUNCT__
4363 #define __FUNCT__ "SNESTSFormJacobian"
4364 /*@
4365    SNESTSFormJacobian - Function to evaluate the Jacobian
4366 
4367    Collective on SNES
4368 
4369    Input Parameter:
4370 + snes - nonlinear solver
4371 . U - the current state at which to evaluate the residual
4372 - ctx - user context, must be a TS
4373 
4374    Output Parameter:
4375 + A - the Jacobian
4376 . B - the preconditioning matrix (may be the same as A)
4377 - flag - indicates any structure change in the matrix
4378 
4379    Notes:
4380    This function is not normally called by users and is automatically registered with the SNES used by TS.
4381 
4382    Level: developer
4383 
4384 .seealso: SNESSetJacobian()
4385 @*/
4386 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4387 {
4388   TS             ts = (TS)ctx;
4389   PetscErrorCode ierr;
4390 
4391   PetscFunctionBegin;
4392   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4393   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4394   PetscValidPointer(A,3);
4395   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4396   PetscValidPointer(B,4);
4397   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4398   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4399   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4400   PetscFunctionReturn(0);
4401 }
4402 
4403 #undef __FUNCT__
4404 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4405 /*@C
4406    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
4407 
4408    Collective on TS
4409 
4410    Input Arguments:
4411 +  ts - time stepping context
4412 .  t - time at which to evaluate
4413 .  U - state at which to evaluate
4414 -  ctx - context
4415 
4416    Output Arguments:
4417 .  F - right hand side
4418 
4419    Level: intermediate
4420 
4421    Notes:
4422    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4423    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4424 
4425 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4426 @*/
4427 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4428 {
4429   PetscErrorCode ierr;
4430   Mat            Arhs,Brhs;
4431 
4432   PetscFunctionBegin;
4433   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4434   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4435   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4436   PetscFunctionReturn(0);
4437 }
4438 
4439 #undef __FUNCT__
4440 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4441 /*@C
4442    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4443 
4444    Collective on TS
4445 
4446    Input Arguments:
4447 +  ts - time stepping context
4448 .  t - time at which to evaluate
4449 .  U - state at which to evaluate
4450 -  ctx - context
4451 
4452    Output Arguments:
4453 +  A - pointer to operator
4454 .  B - pointer to preconditioning matrix
4455 -  flg - matrix structure flag
4456 
4457    Level: intermediate
4458 
4459    Notes:
4460    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4461 
4462 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4463 @*/
4464 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4465 {
4466   PetscFunctionBegin;
4467   PetscFunctionReturn(0);
4468 }
4469 
4470 #undef __FUNCT__
4471 #define __FUNCT__ "TSComputeIFunctionLinear"
4472 /*@C
4473    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4474 
4475    Collective on TS
4476 
4477    Input Arguments:
4478 +  ts - time stepping context
4479 .  t - time at which to evaluate
4480 .  U - state at which to evaluate
4481 .  Udot - time derivative of state vector
4482 -  ctx - context
4483 
4484    Output Arguments:
4485 .  F - left hand side
4486 
4487    Level: intermediate
4488 
4489    Notes:
4490    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
4491    user is required to write their own TSComputeIFunction.
4492    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4493    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4494 
4495 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
4496 @*/
4497 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4498 {
4499   PetscErrorCode ierr;
4500   Mat            A,B;
4501 
4502   PetscFunctionBegin;
4503   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4504   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4505   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4506   PetscFunctionReturn(0);
4507 }
4508 
4509 #undef __FUNCT__
4510 #define __FUNCT__ "TSComputeIJacobianConstant"
4511 /*@C
4512    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4513 
4514    Collective on TS
4515 
4516    Input Arguments:
4517 +  ts - time stepping context
4518 .  t - time at which to evaluate
4519 .  U - state at which to evaluate
4520 .  Udot - time derivative of state vector
4521 .  shift - shift to apply
4522 -  ctx - context
4523 
4524    Output Arguments:
4525 +  A - pointer to operator
4526 .  B - pointer to preconditioning matrix
4527 -  flg - matrix structure flag
4528 
4529    Level: advanced
4530 
4531    Notes:
4532    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4533 
4534    It is only appropriate for problems of the form
4535 
4536 $     M Udot = F(U,t)
4537 
4538   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4539   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4540   an implicit operator of the form
4541 
4542 $    shift*M + J
4543 
4544   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
4545   a copy of M or reassemble it when requested.
4546 
4547 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4548 @*/
4549 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4550 {
4551   PetscErrorCode ierr;
4552 
4553   PetscFunctionBegin;
4554   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4555   ts->ijacobian.shift = shift;
4556   PetscFunctionReturn(0);
4557 }
4558 
4559 #undef __FUNCT__
4560 #define __FUNCT__ "TSGetEquationType"
4561 /*@
4562    TSGetEquationType - Gets the type of the equation that TS is solving.
4563 
4564    Not Collective
4565 
4566    Input Parameter:
4567 .  ts - the TS context
4568 
4569    Output Parameter:
4570 .  equation_type - see TSEquationType
4571 
4572    Level: beginner
4573 
4574 .keywords: TS, equation type
4575 
4576 .seealso: TSSetEquationType(), TSEquationType
4577 @*/
4578 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4579 {
4580   PetscFunctionBegin;
4581   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4582   PetscValidPointer(equation_type,2);
4583   *equation_type = ts->equation_type;
4584   PetscFunctionReturn(0);
4585 }
4586 
4587 #undef __FUNCT__
4588 #define __FUNCT__ "TSSetEquationType"
4589 /*@
4590    TSSetEquationType - Sets the type of the equation that TS is solving.
4591 
4592    Not Collective
4593 
4594    Input Parameter:
4595 +  ts - the TS context
4596 -  equation_type - see TSEquationType
4597 
4598    Level: advanced
4599 
4600 .keywords: TS, equation type
4601 
4602 .seealso: TSGetEquationType(), TSEquationType
4603 @*/
4604 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4605 {
4606   PetscFunctionBegin;
4607   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4608   ts->equation_type = equation_type;
4609   PetscFunctionReturn(0);
4610 }
4611 
4612 #undef __FUNCT__
4613 #define __FUNCT__ "TSGetConvergedReason"
4614 /*@
4615    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4616 
4617    Not Collective
4618 
4619    Input Parameter:
4620 .  ts - the TS context
4621 
4622    Output Parameter:
4623 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4624             manual pages for the individual convergence tests for complete lists
4625 
4626    Level: beginner
4627 
4628    Notes:
4629    Can only be called after the call to TSSolve() is complete.
4630 
4631 .keywords: TS, nonlinear, set, convergence, test
4632 
4633 .seealso: TSSetConvergenceTest(), TSConvergedReason
4634 @*/
4635 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4636 {
4637   PetscFunctionBegin;
4638   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4639   PetscValidPointer(reason,2);
4640   *reason = ts->reason;
4641   PetscFunctionReturn(0);
4642 }
4643 
4644 #undef __FUNCT__
4645 #define __FUNCT__ "TSSetConvergedReason"
4646 /*@
4647    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4648 
4649    Not Collective
4650 
4651    Input Parameter:
4652 +  ts - the TS context
4653 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4654             manual pages for the individual convergence tests for complete lists
4655 
4656    Level: advanced
4657 
4658    Notes:
4659    Can only be called during TSSolve() is active.
4660 
4661 .keywords: TS, nonlinear, set, convergence, test
4662 
4663 .seealso: TSConvergedReason
4664 @*/
4665 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4666 {
4667   PetscFunctionBegin;
4668   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4669   ts->reason = reason;
4670   PetscFunctionReturn(0);
4671 }
4672 
4673 #undef __FUNCT__
4674 #define __FUNCT__ "TSGetSolveTime"
4675 /*@
4676    TSGetSolveTime - Gets the time after a call to TSSolve()
4677 
4678    Not Collective
4679 
4680    Input Parameter:
4681 .  ts - the TS context
4682 
4683    Output Parameter:
4684 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4685 
4686    Level: beginner
4687 
4688    Notes:
4689    Can only be called after the call to TSSolve() is complete.
4690 
4691 .keywords: TS, nonlinear, set, convergence, test
4692 
4693 .seealso: TSSetConvergenceTest(), TSConvergedReason
4694 @*/
4695 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4696 {
4697   PetscFunctionBegin;
4698   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4699   PetscValidPointer(ftime,2);
4700   *ftime = ts->solvetime;
4701   PetscFunctionReturn(0);
4702 }
4703 
4704 #undef __FUNCT__
4705 #define __FUNCT__ "TSGetTotalSteps"
4706 /*@
4707    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
4708 
4709    Not Collective
4710 
4711    Input Parameter:
4712 .  ts - the TS context
4713 
4714    Output Parameter:
4715 .  steps - the number of steps
4716 
4717    Level: beginner
4718 
4719    Notes:
4720    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
4721 
4722 .keywords: TS, nonlinear, set, convergence, test
4723 
4724 .seealso: TSSetConvergenceTest(), TSConvergedReason
4725 @*/
4726 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
4727 {
4728   PetscFunctionBegin;
4729   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4730   PetscValidPointer(steps,2);
4731   *steps = ts->total_steps;
4732   PetscFunctionReturn(0);
4733 }
4734 
4735 #undef __FUNCT__
4736 #define __FUNCT__ "TSGetSNESIterations"
4737 /*@
4738    TSGetSNESIterations - Gets the total number of nonlinear iterations
4739    used by the time integrator.
4740 
4741    Not Collective
4742 
4743    Input Parameter:
4744 .  ts - TS context
4745 
4746    Output Parameter:
4747 .  nits - number of nonlinear iterations
4748 
4749    Notes:
4750    This counter is reset to zero for each successive call to TSSolve().
4751 
4752    Level: intermediate
4753 
4754 .keywords: TS, get, number, nonlinear, iterations
4755 
4756 .seealso:  TSGetKSPIterations()
4757 @*/
4758 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4759 {
4760   PetscFunctionBegin;
4761   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4762   PetscValidIntPointer(nits,2);
4763   *nits = ts->snes_its;
4764   PetscFunctionReturn(0);
4765 }
4766 
4767 #undef __FUNCT__
4768 #define __FUNCT__ "TSGetKSPIterations"
4769 /*@
4770    TSGetKSPIterations - Gets the total number of linear iterations
4771    used by the time integrator.
4772 
4773    Not Collective
4774 
4775    Input Parameter:
4776 .  ts - TS context
4777 
4778    Output Parameter:
4779 .  lits - number of linear iterations
4780 
4781    Notes:
4782    This counter is reset to zero for each successive call to TSSolve().
4783 
4784    Level: intermediate
4785 
4786 .keywords: TS, get, number, linear, iterations
4787 
4788 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4789 @*/
4790 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4791 {
4792   PetscFunctionBegin;
4793   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4794   PetscValidIntPointer(lits,2);
4795   *lits = ts->ksp_its;
4796   PetscFunctionReturn(0);
4797 }
4798 
4799 #undef __FUNCT__
4800 #define __FUNCT__ "TSGetStepRejections"
4801 /*@
4802    TSGetStepRejections - Gets the total number of rejected steps.
4803 
4804    Not Collective
4805 
4806    Input Parameter:
4807 .  ts - TS context
4808 
4809    Output Parameter:
4810 .  rejects - number of steps rejected
4811 
4812    Notes:
4813    This counter is reset to zero for each successive call to TSSolve().
4814 
4815    Level: intermediate
4816 
4817 .keywords: TS, get, number
4818 
4819 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4820 @*/
4821 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4822 {
4823   PetscFunctionBegin;
4824   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4825   PetscValidIntPointer(rejects,2);
4826   *rejects = ts->reject;
4827   PetscFunctionReturn(0);
4828 }
4829 
4830 #undef __FUNCT__
4831 #define __FUNCT__ "TSGetSNESFailures"
4832 /*@
4833    TSGetSNESFailures - Gets the total number of failed SNES solves
4834 
4835    Not Collective
4836 
4837    Input Parameter:
4838 .  ts - TS context
4839 
4840    Output Parameter:
4841 .  fails - number of failed nonlinear solves
4842 
4843    Notes:
4844    This counter is reset to zero for each successive call to TSSolve().
4845 
4846    Level: intermediate
4847 
4848 .keywords: TS, get, number
4849 
4850 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4851 @*/
4852 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4853 {
4854   PetscFunctionBegin;
4855   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4856   PetscValidIntPointer(fails,2);
4857   *fails = ts->num_snes_failures;
4858   PetscFunctionReturn(0);
4859 }
4860 
4861 #undef __FUNCT__
4862 #define __FUNCT__ "TSSetMaxStepRejections"
4863 /*@
4864    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4865 
4866    Not Collective
4867 
4868    Input Parameter:
4869 +  ts - TS context
4870 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4871 
4872    Notes:
4873    The counter is reset to zero for each step
4874 
4875    Options Database Key:
4876  .  -ts_max_reject - Maximum number of step rejections before a step fails
4877 
4878    Level: intermediate
4879 
4880 .keywords: TS, set, maximum, number
4881 
4882 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4883 @*/
4884 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4885 {
4886   PetscFunctionBegin;
4887   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4888   ts->max_reject = rejects;
4889   PetscFunctionReturn(0);
4890 }
4891 
4892 #undef __FUNCT__
4893 #define __FUNCT__ "TSSetMaxSNESFailures"
4894 /*@
4895    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4896 
4897    Not Collective
4898 
4899    Input Parameter:
4900 +  ts - TS context
4901 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4902 
4903    Notes:
4904    The counter is reset to zero for each successive call to TSSolve().
4905 
4906    Options Database Key:
4907  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4908 
4909    Level: intermediate
4910 
4911 .keywords: TS, set, maximum, number
4912 
4913 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4914 @*/
4915 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4916 {
4917   PetscFunctionBegin;
4918   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4919   ts->max_snes_failures = fails;
4920   PetscFunctionReturn(0);
4921 }
4922 
4923 #undef __FUNCT__
4924 #define __FUNCT__ "TSSetErrorIfStepFails"
4925 /*@
4926    TSSetErrorIfStepFails - Error if no step succeeds
4927 
4928    Not Collective
4929 
4930    Input Parameter:
4931 +  ts - TS context
4932 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4933 
4934    Options Database Key:
4935  .  -ts_error_if_step_fails - Error if no step succeeds
4936 
4937    Level: intermediate
4938 
4939 .keywords: TS, set, error
4940 
4941 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4942 @*/
4943 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4944 {
4945   PetscFunctionBegin;
4946   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4947   ts->errorifstepfailed = err;
4948   PetscFunctionReturn(0);
4949 }
4950 
4951 #undef __FUNCT__
4952 #define __FUNCT__ "TSMonitorSolutionBinary"
4953 /*@C
4954    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4955 
4956    Collective on TS
4957 
4958    Input Parameters:
4959 +  ts - the TS context
4960 .  step - current time-step
4961 .  ptime - current time
4962 .  u - current state
4963 -  viewer - binary viewer
4964 
4965    Level: intermediate
4966 
4967 .keywords: TS,  vector, monitor, view
4968 
4969 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4970 @*/
4971 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4972 {
4973   PetscErrorCode ierr;
4974   PetscViewer    v = (PetscViewer)viewer;
4975 
4976   PetscFunctionBegin;
4977   ierr = VecView(u,v);CHKERRQ(ierr);
4978   PetscFunctionReturn(0);
4979 }
4980 
4981 #undef __FUNCT__
4982 #define __FUNCT__ "TSMonitorSolutionVTK"
4983 /*@C
4984    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4985 
4986    Collective on TS
4987 
4988    Input Parameters:
4989 +  ts - the TS context
4990 .  step - current time-step
4991 .  ptime - current time
4992 .  u - current state
4993 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4994 
4995    Level: intermediate
4996 
4997    Notes:
4998    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.
4999    These are named according to the file name template.
5000 
5001    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5002 
5003 .keywords: TS,  vector, monitor, view
5004 
5005 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5006 @*/
5007 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5008 {
5009   PetscErrorCode ierr;
5010   char           filename[PETSC_MAX_PATH_LEN];
5011   PetscViewer    viewer;
5012 
5013   PetscFunctionBegin;
5014   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5015   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5016   ierr = VecView(u,viewer);CHKERRQ(ierr);
5017   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5018   PetscFunctionReturn(0);
5019 }
5020 
5021 #undef __FUNCT__
5022 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5023 /*@C
5024    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5025 
5026    Collective on TS
5027 
5028    Input Parameters:
5029 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5030 
5031    Level: intermediate
5032 
5033    Note:
5034    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5035 
5036 .keywords: TS,  vector, monitor, view
5037 
5038 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5039 @*/
5040 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5041 {
5042   PetscErrorCode ierr;
5043 
5044   PetscFunctionBegin;
5045   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5046   PetscFunctionReturn(0);
5047 }
5048 
5049 #undef __FUNCT__
5050 #define __FUNCT__ "TSGetAdapt"
5051 /*@
5052    TSGetAdapt - Get the adaptive controller context for the current method
5053 
5054    Collective on TS if controller has not been created yet
5055 
5056    Input Arguments:
5057 .  ts - time stepping context
5058 
5059    Output Arguments:
5060 .  adapt - adaptive controller
5061 
5062    Level: intermediate
5063 
5064 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5065 @*/
5066 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5067 {
5068   PetscErrorCode ierr;
5069 
5070   PetscFunctionBegin;
5071   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5072   PetscValidPointer(adapt,2);
5073   if (!ts->adapt) {
5074     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5075     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5076     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5077   }
5078   *adapt = ts->adapt;
5079   PetscFunctionReturn(0);
5080 }
5081 
5082 #undef __FUNCT__
5083 #define __FUNCT__ "TSSetTolerances"
5084 /*@
5085    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5086 
5087    Logically Collective
5088 
5089    Input Arguments:
5090 +  ts - time integration context
5091 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5092 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5093 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5094 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5095 
5096    Options Database keys:
5097 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5098 -  -ts_atol <atol> Absolute tolerance for local truncation error
5099 
5100    Notes:
5101    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5102    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5103    computed only for the differential or the algebraic part then this can be done using the vector of
5104    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5105    differential part and infinity for the algebraic part, the LTE calculation will include only the
5106    differential variables.
5107 
5108    Level: beginner
5109 
5110 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5111 @*/
5112 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5113 {
5114   PetscErrorCode ierr;
5115 
5116   PetscFunctionBegin;
5117   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5118   if (vatol) {
5119     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5120     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5121 
5122     ts->vatol = vatol;
5123   }
5124   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5125   if (vrtol) {
5126     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5127     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5128 
5129     ts->vrtol = vrtol;
5130   }
5131   PetscFunctionReturn(0);
5132 }
5133 
5134 #undef __FUNCT__
5135 #define __FUNCT__ "TSGetTolerances"
5136 /*@
5137    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5138 
5139    Logically Collective
5140 
5141    Input Arguments:
5142 .  ts - time integration context
5143 
5144    Output Arguments:
5145 +  atol - scalar absolute tolerances, NULL to ignore
5146 .  vatol - vector of absolute tolerances, NULL to ignore
5147 .  rtol - scalar relative tolerances, NULL to ignore
5148 -  vrtol - vector of relative tolerances, NULL to ignore
5149 
5150    Level: beginner
5151 
5152 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5153 @*/
5154 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5155 {
5156   PetscFunctionBegin;
5157   if (atol)  *atol  = ts->atol;
5158   if (vatol) *vatol = ts->vatol;
5159   if (rtol)  *rtol  = ts->rtol;
5160   if (vrtol) *vrtol = ts->vrtol;
5161   PetscFunctionReturn(0);
5162 }
5163 
5164 #undef __FUNCT__
5165 #define __FUNCT__ "TSErrorWeightedNorm2"
5166 /*@
5167    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5168 
5169    Collective on TS
5170 
5171    Input Arguments:
5172 +  ts - time stepping context
5173 .  U - state vector, usually ts->vec_sol
5174 -  Y - state vector to be compared to U
5175 
5176    Output Arguments:
5177 .  norm - weighted norm, a value of 1.0 is considered small
5178 
5179    Level: developer
5180 
5181 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5182 @*/
5183 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5184 {
5185   PetscErrorCode    ierr;
5186   PetscInt          i,n,N,rstart;
5187   const PetscScalar *u,*y;
5188   PetscReal         sum,gsum;
5189   PetscReal         tol;
5190 
5191   PetscFunctionBegin;
5192   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5193   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5194   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5195   PetscValidType(U,2);
5196   PetscValidType(Y,3);
5197   PetscCheckSameComm(U,2,Y,3);
5198   PetscValidPointer(norm,4);
5199   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5200 
5201   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5202   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5203   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5204   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5205   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5206   sum  = 0.;
5207   if (ts->vatol && ts->vrtol) {
5208     const PetscScalar *atol,*rtol;
5209     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5210     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5211     for (i=0; i<n; i++) {
5212       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5213       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5214     }
5215     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5216     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5217   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5218     const PetscScalar *atol;
5219     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5220     for (i=0; i<n; i++) {
5221       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5222       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5223     }
5224     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5225   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5226     const PetscScalar *rtol;
5227     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5228     for (i=0; i<n; i++) {
5229       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5230       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5231     }
5232     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5233   } else {                      /* scalar atol, scalar rtol */
5234     for (i=0; i<n; i++) {
5235       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5236       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5237     }
5238   }
5239   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5240   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5241 
5242   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5243   *norm = PetscSqrtReal(gsum / N);
5244 
5245   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5246   PetscFunctionReturn(0);
5247 }
5248 
5249 #undef __FUNCT__
5250 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5251 /*@
5252    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5253 
5254    Collective on TS
5255 
5256    Input Arguments:
5257 +  ts - time stepping context
5258 .  U - state vector, usually ts->vec_sol
5259 -  Y - state vector to be compared to U
5260 
5261    Output Arguments:
5262 .  norm - weighted norm, a value of 1.0 is considered small
5263 
5264    Level: developer
5265 
5266 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5267 @*/
5268 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5269 {
5270   PetscErrorCode    ierr;
5271   PetscInt          i,n,N,rstart,k;
5272   const PetscScalar *u,*y;
5273   PetscReal         max,gmax;
5274   PetscReal         tol;
5275 
5276   PetscFunctionBegin;
5277   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5278   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5279   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5280   PetscValidType(U,2);
5281   PetscValidType(Y,3);
5282   PetscCheckSameComm(U,2,Y,3);
5283   PetscValidPointer(norm,4);
5284   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5285 
5286   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5287   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5288   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5289   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5290   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5291   if (ts->vatol && ts->vrtol) {
5292     const PetscScalar *atol,*rtol;
5293     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5294     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5295     k = 0;
5296     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5297     max = PetscAbsScalar(y[k] - u[k]) / tol;
5298     for (i=1; i<n; i++) {
5299       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5300       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5301     }
5302     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5303     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5304   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5305     const PetscScalar *atol;
5306     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5307     k = 0;
5308     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5309     max = PetscAbsScalar(y[k] - u[k]) / tol;
5310     for (i=1; i<n; i++) {
5311       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5312       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5313     }
5314     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5315   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5316     const PetscScalar *rtol;
5317     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5318     k = 0;
5319     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5320     max = PetscAbsScalar(y[k] - u[k]) / tol;
5321     for (i=1; i<n; i++) {
5322       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5323       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5324     }
5325     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5326   } else {                      /* scalar atol, scalar rtol */
5327     k = 0;
5328     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5329     max = PetscAbsScalar(y[k] - u[k]) / tol;
5330     for (i=1; i<n; i++) {
5331       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5332       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5333     }
5334   }
5335   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5336   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5337 
5338   ierr  = MPI_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5339   *norm = gmax;
5340 
5341   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5342   PetscFunctionReturn(0);
5343 }
5344 
5345 #undef __FUNCT__
5346 #define __FUNCT__ "TSErrorWeightedNorm"
5347 /*@
5348    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
5349 
5350    Collective on TS
5351 
5352    Input Arguments:
5353 +  ts - time stepping context
5354 .  U - state vector, usually ts->vec_sol
5355 .  Y - state vector to be compared to U
5356 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
5357 
5358    Output Arguments:
5359 .  norm - weighted norm, a value of 1.0 is considered small
5360 
5361 
5362    Options Database Keys:
5363 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
5364 
5365    Level: developer
5366 
5367 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
5368 @*/
5369 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
5370 {
5371   PetscErrorCode ierr;
5372 
5373   PetscFunctionBegin;
5374   if (wnormtype == NORM_2) {
5375     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
5376   } else if(wnormtype == NORM_INFINITY) {
5377     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
5378   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
5379   PetscFunctionReturn(0);
5380 }
5381 
5382 #undef __FUNCT__
5383 #define __FUNCT__ "TSSetCFLTimeLocal"
5384 /*@
5385    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
5386 
5387    Logically Collective on TS
5388 
5389    Input Arguments:
5390 +  ts - time stepping context
5391 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
5392 
5393    Note:
5394    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
5395 
5396    Level: intermediate
5397 
5398 .seealso: TSGetCFLTime(), TSADAPTCFL
5399 @*/
5400 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
5401 {
5402   PetscFunctionBegin;
5403   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5404   ts->cfltime_local = cfltime;
5405   ts->cfltime       = -1.;
5406   PetscFunctionReturn(0);
5407 }
5408 
5409 #undef __FUNCT__
5410 #define __FUNCT__ "TSGetCFLTime"
5411 /*@
5412    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
5413 
5414    Collective on TS
5415 
5416    Input Arguments:
5417 .  ts - time stepping context
5418 
5419    Output Arguments:
5420 .  cfltime - maximum stable time step for forward Euler
5421 
5422    Level: advanced
5423 
5424 .seealso: TSSetCFLTimeLocal()
5425 @*/
5426 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
5427 {
5428   PetscErrorCode ierr;
5429 
5430   PetscFunctionBegin;
5431   if (ts->cfltime < 0) {
5432     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5433   }
5434   *cfltime = ts->cfltime;
5435   PetscFunctionReturn(0);
5436 }
5437 
5438 #undef __FUNCT__
5439 #define __FUNCT__ "TSVISetVariableBounds"
5440 /*@
5441    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
5442 
5443    Input Parameters:
5444 .  ts   - the TS context.
5445 .  xl   - lower bound.
5446 .  xu   - upper bound.
5447 
5448    Notes:
5449    If this routine is not called then the lower and upper bounds are set to
5450    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
5451 
5452    Level: advanced
5453 
5454 @*/
5455 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5456 {
5457   PetscErrorCode ierr;
5458   SNES           snes;
5459 
5460   PetscFunctionBegin;
5461   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5462   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5463   PetscFunctionReturn(0);
5464 }
5465 
5466 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5467 #include <mex.h>
5468 
5469 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5470 
5471 #undef __FUNCT__
5472 #define __FUNCT__ "TSComputeFunction_Matlab"
5473 /*
5474    TSComputeFunction_Matlab - Calls the function that has been set with
5475                          TSSetFunctionMatlab().
5476 
5477    Collective on TS
5478 
5479    Input Parameters:
5480 +  snes - the TS context
5481 -  u - input vector
5482 
5483    Output Parameter:
5484 .  y - function vector, as set by TSSetFunction()
5485 
5486    Notes:
5487    TSComputeFunction() is typically used within nonlinear solvers
5488    implementations, so most users would not generally call this routine
5489    themselves.
5490 
5491    Level: developer
5492 
5493 .keywords: TS, nonlinear, compute, function
5494 
5495 .seealso: TSSetFunction(), TSGetFunction()
5496 */
5497 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5498 {
5499   PetscErrorCode  ierr;
5500   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5501   int             nlhs  = 1,nrhs = 7;
5502   mxArray         *plhs[1],*prhs[7];
5503   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5504 
5505   PetscFunctionBegin;
5506   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5507   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5508   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5509   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5510   PetscCheckSameComm(snes,1,u,3);
5511   PetscCheckSameComm(snes,1,y,5);
5512 
5513   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5514   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5515   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5516   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5517 
5518   prhs[0] =  mxCreateDoubleScalar((double)ls);
5519   prhs[1] =  mxCreateDoubleScalar(time);
5520   prhs[2] =  mxCreateDoubleScalar((double)lx);
5521   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5522   prhs[4] =  mxCreateDoubleScalar((double)ly);
5523   prhs[5] =  mxCreateString(sctx->funcname);
5524   prhs[6] =  sctx->ctx;
5525   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5526   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5527   mxDestroyArray(prhs[0]);
5528   mxDestroyArray(prhs[1]);
5529   mxDestroyArray(prhs[2]);
5530   mxDestroyArray(prhs[3]);
5531   mxDestroyArray(prhs[4]);
5532   mxDestroyArray(prhs[5]);
5533   mxDestroyArray(plhs[0]);
5534   PetscFunctionReturn(0);
5535 }
5536 
5537 
5538 #undef __FUNCT__
5539 #define __FUNCT__ "TSSetFunctionMatlab"
5540 /*
5541    TSSetFunctionMatlab - Sets the function evaluation routine and function
5542    vector for use by the TS routines in solving ODEs
5543    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5544 
5545    Logically Collective on TS
5546 
5547    Input Parameters:
5548 +  ts - the TS context
5549 -  func - function evaluation routine
5550 
5551    Calling sequence of func:
5552 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5553 
5554    Level: beginner
5555 
5556 .keywords: TS, nonlinear, set, function
5557 
5558 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5559 */
5560 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5561 {
5562   PetscErrorCode  ierr;
5563   TSMatlabContext *sctx;
5564 
5565   PetscFunctionBegin;
5566   /* currently sctx is memory bleed */
5567   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5568   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5569   /*
5570      This should work, but it doesn't
5571   sctx->ctx = ctx;
5572   mexMakeArrayPersistent(sctx->ctx);
5573   */
5574   sctx->ctx = mxDuplicateArray(ctx);
5575 
5576   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5577   PetscFunctionReturn(0);
5578 }
5579 
5580 #undef __FUNCT__
5581 #define __FUNCT__ "TSComputeJacobian_Matlab"
5582 /*
5583    TSComputeJacobian_Matlab - Calls the function that has been set with
5584                          TSSetJacobianMatlab().
5585 
5586    Collective on TS
5587 
5588    Input Parameters:
5589 +  ts - the TS context
5590 .  u - input vector
5591 .  A, B - the matrices
5592 -  ctx - user context
5593 
5594    Level: developer
5595 
5596 .keywords: TS, nonlinear, compute, function
5597 
5598 .seealso: TSSetFunction(), TSGetFunction()
5599 @*/
5600 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5601 {
5602   PetscErrorCode  ierr;
5603   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5604   int             nlhs  = 2,nrhs = 9;
5605   mxArray         *plhs[2],*prhs[9];
5606   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5607 
5608   PetscFunctionBegin;
5609   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5610   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5611 
5612   /* call Matlab function in ctx with arguments u and y */
5613 
5614   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5615   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5616   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5617   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5618   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5619 
5620   prhs[0] =  mxCreateDoubleScalar((double)ls);
5621   prhs[1] =  mxCreateDoubleScalar((double)time);
5622   prhs[2] =  mxCreateDoubleScalar((double)lx);
5623   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5624   prhs[4] =  mxCreateDoubleScalar((double)shift);
5625   prhs[5] =  mxCreateDoubleScalar((double)lA);
5626   prhs[6] =  mxCreateDoubleScalar((double)lB);
5627   prhs[7] =  mxCreateString(sctx->funcname);
5628   prhs[8] =  sctx->ctx;
5629   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5630   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5631   mxDestroyArray(prhs[0]);
5632   mxDestroyArray(prhs[1]);
5633   mxDestroyArray(prhs[2]);
5634   mxDestroyArray(prhs[3]);
5635   mxDestroyArray(prhs[4]);
5636   mxDestroyArray(prhs[5]);
5637   mxDestroyArray(prhs[6]);
5638   mxDestroyArray(prhs[7]);
5639   mxDestroyArray(plhs[0]);
5640   mxDestroyArray(plhs[1]);
5641   PetscFunctionReturn(0);
5642 }
5643 
5644 
5645 #undef __FUNCT__
5646 #define __FUNCT__ "TSSetJacobianMatlab"
5647 /*
5648    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5649    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
5650 
5651    Logically Collective on TS
5652 
5653    Input Parameters:
5654 +  ts - the TS context
5655 .  A,B - Jacobian matrices
5656 .  func - function evaluation routine
5657 -  ctx - user context
5658 
5659    Calling sequence of func:
5660 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5661 
5662 
5663    Level: developer
5664 
5665 .keywords: TS, nonlinear, set, function
5666 
5667 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5668 */
5669 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5670 {
5671   PetscErrorCode  ierr;
5672   TSMatlabContext *sctx;
5673 
5674   PetscFunctionBegin;
5675   /* currently sctx is memory bleed */
5676   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5677   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5678   /*
5679      This should work, but it doesn't
5680   sctx->ctx = ctx;
5681   mexMakeArrayPersistent(sctx->ctx);
5682   */
5683   sctx->ctx = mxDuplicateArray(ctx);
5684 
5685   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5686   PetscFunctionReturn(0);
5687 }
5688 
5689 #undef __FUNCT__
5690 #define __FUNCT__ "TSMonitor_Matlab"
5691 /*
5692    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5693 
5694    Collective on TS
5695 
5696 .seealso: TSSetFunction(), TSGetFunction()
5697 @*/
5698 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5699 {
5700   PetscErrorCode  ierr;
5701   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5702   int             nlhs  = 1,nrhs = 6;
5703   mxArray         *plhs[1],*prhs[6];
5704   long long int   lx = 0,ls = 0;
5705 
5706   PetscFunctionBegin;
5707   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5708   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5709 
5710   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5711   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5712 
5713   prhs[0] =  mxCreateDoubleScalar((double)ls);
5714   prhs[1] =  mxCreateDoubleScalar((double)it);
5715   prhs[2] =  mxCreateDoubleScalar((double)time);
5716   prhs[3] =  mxCreateDoubleScalar((double)lx);
5717   prhs[4] =  mxCreateString(sctx->funcname);
5718   prhs[5] =  sctx->ctx;
5719   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5720   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5721   mxDestroyArray(prhs[0]);
5722   mxDestroyArray(prhs[1]);
5723   mxDestroyArray(prhs[2]);
5724   mxDestroyArray(prhs[3]);
5725   mxDestroyArray(prhs[4]);
5726   mxDestroyArray(plhs[0]);
5727   PetscFunctionReturn(0);
5728 }
5729 
5730 
5731 #undef __FUNCT__
5732 #define __FUNCT__ "TSMonitorSetMatlab"
5733 /*
5734    TSMonitorSetMatlab - Sets the monitor function from Matlab
5735 
5736    Level: developer
5737 
5738 .keywords: TS, nonlinear, set, function
5739 
5740 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5741 */
5742 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5743 {
5744   PetscErrorCode  ierr;
5745   TSMatlabContext *sctx;
5746 
5747   PetscFunctionBegin;
5748   /* currently sctx is memory bleed */
5749   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5750   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5751   /*
5752      This should work, but it doesn't
5753   sctx->ctx = ctx;
5754   mexMakeArrayPersistent(sctx->ctx);
5755   */
5756   sctx->ctx = mxDuplicateArray(ctx);
5757 
5758   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5759   PetscFunctionReturn(0);
5760 }
5761 #endif
5762 
5763 #undef __FUNCT__
5764 #define __FUNCT__ "TSMonitorLGSolution"
5765 /*@C
5766    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5767        in a time based line graph
5768 
5769    Collective on TS
5770 
5771    Input Parameters:
5772 +  ts - the TS context
5773 .  step - current time-step
5774 .  ptime - current time
5775 -  lg - a line graph object
5776 
5777    Options Database:
5778 .   -ts_monitor_lg_solution_variables
5779 
5780    Level: intermediate
5781 
5782     Notes: each process in a parallel run displays its component solutions in a separate window
5783 
5784 .keywords: TS,  vector, monitor, view
5785 
5786 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5787 @*/
5788 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5789 {
5790   PetscErrorCode    ierr;
5791   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5792   const PetscScalar *yy;
5793   PetscInt          dim;
5794   Vec               v;
5795 
5796   PetscFunctionBegin;
5797   if (!step) {
5798     PetscDrawAxis axis;
5799     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5800     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5801     if (ctx->names && !ctx->displaynames) {
5802       char      **displaynames;
5803       PetscBool flg;
5804 
5805       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5806       ierr = PetscMalloc((dim+1)*sizeof(char*),&displaynames);CHKERRQ(ierr);
5807       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
5808       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
5809       if (flg) {
5810         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
5811       }
5812       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
5813     }
5814     if (ctx->displaynames) {
5815       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
5816       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
5817     } else if (ctx->names) {
5818       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5819       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5820       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
5821     }
5822     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5823   }
5824   if (ctx->transform) {
5825     ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);
5826   } else {
5827     v = u;
5828   }
5829   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
5830 #if defined(PETSC_USE_COMPLEX)
5831   {
5832     PetscReal *yreal;
5833     PetscInt  i,n;
5834     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
5835     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5836     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5837     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5838     ierr = PetscFree(yreal);CHKERRQ(ierr);
5839   }
5840 #else
5841   if (ctx->displaynames) {
5842     PetscInt i;
5843     for (i=0; i<ctx->ndisplayvariables; i++) {
5844       ctx->displayvalues[i] = yy[ctx->displayvariables[i]];
5845     }
5846     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
5847   } else {
5848     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5849   }
5850 #endif
5851   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
5852   if (ctx->transform) {
5853     ierr = VecDestroy(&v);CHKERRQ(ierr);
5854   }
5855   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5856     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5857   }
5858   PetscFunctionReturn(0);
5859 }
5860 
5861 
5862 #undef __FUNCT__
5863 #define __FUNCT__ "TSMonitorLGSetVariableNames"
5864 /*@C
5865    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
5866 
5867    Collective on TS
5868 
5869    Input Parameters:
5870 +  ts - the TS context
5871 -  names - the names of the components, final string must be NULL
5872 
5873    Level: intermediate
5874 
5875 .keywords: TS,  vector, monitor, view
5876 
5877 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
5878 @*/
5879 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
5880 {
5881   PetscErrorCode    ierr;
5882   PetscInt          i;
5883 
5884   PetscFunctionBegin;
5885   for (i=0; i<ts->numbermonitors; i++) {
5886     if (ts->monitor[i] == TSMonitorLGSolution) {
5887       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
5888       break;
5889     }
5890   }
5891   PetscFunctionReturn(0);
5892 }
5893 
5894 #undef __FUNCT__
5895 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
5896 /*@C
5897    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
5898 
5899    Collective on TS
5900 
5901    Input Parameters:
5902 +  ts - the TS context
5903 -  names - the names of the components, final string must be NULL
5904 
5905    Level: intermediate
5906 
5907 .keywords: TS,  vector, monitor, view
5908 
5909 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
5910 @*/
5911 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
5912 {
5913   PetscErrorCode    ierr;
5914 
5915   PetscFunctionBegin;
5916   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
5917   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
5918   PetscFunctionReturn(0);
5919 }
5920 
5921 #undef __FUNCT__
5922 #define __FUNCT__ "TSMonitorLGGetVariableNames"
5923 /*@C
5924    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
5925 
5926    Collective on TS
5927 
5928    Input Parameter:
5929 .  ts - the TS context
5930 
5931    Output Parameter:
5932 .  names - the names of the components, final string must be NULL
5933 
5934    Level: intermediate
5935 
5936 .keywords: TS,  vector, monitor, view
5937 
5938 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
5939 @*/
5940 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
5941 {
5942   PetscInt       i;
5943 
5944   PetscFunctionBegin;
5945   *names = NULL;
5946   for (i=0; i<ts->numbermonitors; i++) {
5947     if (ts->monitor[i] == TSMonitorLGSolution) {
5948       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
5949       *names = (const char *const *)ctx->names;
5950       break;
5951     }
5952   }
5953   PetscFunctionReturn(0);
5954 }
5955 
5956 #undef __FUNCT__
5957 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
5958 /*@C
5959    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
5960 
5961    Collective on TS
5962 
5963    Input Parameters:
5964 +  ctx - the TSMonitorLG context
5965 .  displaynames - the names of the components, final string must be NULL
5966 
5967    Level: intermediate
5968 
5969 .keywords: TS,  vector, monitor, view
5970 
5971 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
5972 @*/
5973 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
5974 {
5975   PetscInt          j = 0,k;
5976   PetscErrorCode    ierr;
5977 
5978   PetscFunctionBegin;
5979   if (!ctx->names) PetscFunctionReturn(0);
5980   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
5981   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
5982   while (displaynames[j]) j++;
5983   ctx->ndisplayvariables = j;
5984   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
5985   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
5986   j = 0;
5987   while (displaynames[j]) {
5988     k = 0;
5989     while (ctx->names[k]) {
5990       PetscBool flg;
5991       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
5992       if (flg) {
5993         ctx->displayvariables[j] = k;
5994         break;
5995       }
5996       k++;
5997     }
5998     j++;
5999   }
6000   PetscFunctionReturn(0);
6001 }
6002 
6003 
6004 #undef __FUNCT__
6005 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6006 /*@C
6007    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6008 
6009    Collective on TS
6010 
6011    Input Parameters:
6012 +  ts - the TS context
6013 .  displaynames - the names of the components, final string must be NULL
6014 
6015    Level: intermediate
6016 
6017 .keywords: TS,  vector, monitor, view
6018 
6019 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6020 @*/
6021 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6022 {
6023   PetscInt          i;
6024   PetscErrorCode    ierr;
6025 
6026   PetscFunctionBegin;
6027   for (i=0; i<ts->numbermonitors; i++) {
6028     if (ts->monitor[i] == TSMonitorLGSolution) {
6029       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6030       break;
6031     }
6032   }
6033   PetscFunctionReturn(0);
6034 }
6035 
6036 #undef __FUNCT__
6037 #define __FUNCT__ "TSMonitorLGSetTransform"
6038 /*@C
6039    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6040 
6041    Collective on TS
6042 
6043    Input Parameters:
6044 +  ts - the TS context
6045 .  transform - the transform function
6046 .  destroy - function to destroy the optional context
6047 -  ctx - optional context used by transform function
6048 
6049    Level: intermediate
6050 
6051 .keywords: TS,  vector, monitor, view
6052 
6053 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6054 @*/
6055 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6056 {
6057   PetscInt          i;
6058   PetscErrorCode    ierr;
6059 
6060   PetscFunctionBegin;
6061   for (i=0; i<ts->numbermonitors; i++) {
6062     if (ts->monitor[i] == TSMonitorLGSolution) {
6063       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6064     }
6065   }
6066   PetscFunctionReturn(0);
6067 }
6068 
6069 #undef __FUNCT__
6070 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6071 /*@C
6072    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6073 
6074    Collective on TSLGCtx
6075 
6076    Input Parameters:
6077 +  ts - the TS context
6078 .  transform - the transform function
6079 .  destroy - function to destroy the optional context
6080 -  ctx - optional context used by transform function
6081 
6082    Level: intermediate
6083 
6084 .keywords: TS,  vector, monitor, view
6085 
6086 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6087 @*/
6088 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6089 {
6090   PetscFunctionBegin;
6091   ctx->transform    = transform;
6092   ctx->transformdestroy = destroy;
6093   ctx->transformctx = tctx;
6094   PetscFunctionReturn(0);
6095 }
6096 
6097 #undef __FUNCT__
6098 #define __FUNCT__ "TSMonitorLGError"
6099 /*@C
6100    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6101        in a time based line graph
6102 
6103    Collective on TS
6104 
6105    Input Parameters:
6106 +  ts - the TS context
6107 .  step - current time-step
6108 .  ptime - current time
6109 -  lg - a line graph object
6110 
6111    Level: intermediate
6112 
6113    Notes:
6114    Only for sequential solves.
6115 
6116    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6117 
6118    Options Database Keys:
6119 .  -ts_monitor_lg_error - create a graphical monitor of error history
6120 
6121 .keywords: TS,  vector, monitor, view
6122 
6123 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6124 @*/
6125 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6126 {
6127   PetscErrorCode    ierr;
6128   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6129   const PetscScalar *yy;
6130   Vec               y;
6131   PetscInt          dim;
6132 
6133   PetscFunctionBegin;
6134   if (!step) {
6135     PetscDrawAxis axis;
6136     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6137     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6138     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6139     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6140     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6141   }
6142   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6143   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6144   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6145   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6146 #if defined(PETSC_USE_COMPLEX)
6147   {
6148     PetscReal *yreal;
6149     PetscInt  i,n;
6150     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6151     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6152     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6153     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6154     ierr = PetscFree(yreal);CHKERRQ(ierr);
6155   }
6156 #else
6157   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6158 #endif
6159   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6160   ierr = VecDestroy(&y);CHKERRQ(ierr);
6161   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6162     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6163   }
6164   PetscFunctionReturn(0);
6165 }
6166 
6167 #undef __FUNCT__
6168 #define __FUNCT__ "TSMonitorLGSNESIterations"
6169 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6170 {
6171   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6172   PetscReal      x   = ptime,y;
6173   PetscErrorCode ierr;
6174   PetscInt       its;
6175 
6176   PetscFunctionBegin;
6177   if (!n) {
6178     PetscDrawAxis axis;
6179 
6180     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6181     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6182     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6183 
6184     ctx->snes_its = 0;
6185   }
6186   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6187   y    = its - ctx->snes_its;
6188   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6189   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6190     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6191   }
6192   ctx->snes_its = its;
6193   PetscFunctionReturn(0);
6194 }
6195 
6196 #undef __FUNCT__
6197 #define __FUNCT__ "TSMonitorLGKSPIterations"
6198 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6199 {
6200   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6201   PetscReal      x   = ptime,y;
6202   PetscErrorCode ierr;
6203   PetscInt       its;
6204 
6205   PetscFunctionBegin;
6206   if (!n) {
6207     PetscDrawAxis axis;
6208 
6209     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6210     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6211     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6212 
6213     ctx->ksp_its = 0;
6214   }
6215   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6216   y    = its - ctx->ksp_its;
6217   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6218   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6219     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6220   }
6221   ctx->ksp_its = its;
6222   PetscFunctionReturn(0);
6223 }
6224 
6225 #undef __FUNCT__
6226 #define __FUNCT__ "TSComputeLinearStability"
6227 /*@
6228    TSComputeLinearStability - computes the linear stability function at a point
6229 
6230    Collective on TS and Vec
6231 
6232    Input Parameters:
6233 +  ts - the TS context
6234 -  xr,xi - real and imaginary part of input arguments
6235 
6236    Output Parameters:
6237 .  yr,yi - real and imaginary part of function value
6238 
6239    Level: developer
6240 
6241 .keywords: TS, compute
6242 
6243 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6244 @*/
6245 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6246 {
6247   PetscErrorCode ierr;
6248 
6249   PetscFunctionBegin;
6250   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6251   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6252   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6253   PetscFunctionReturn(0);
6254 }
6255 
6256 /* ------------------------------------------------------------------------*/
6257 #undef __FUNCT__
6258 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6259 /*@C
6260    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6261 
6262    Collective on TS
6263 
6264    Input Parameters:
6265 .  ts  - the ODE solver object
6266 
6267    Output Parameter:
6268 .  ctx - the context
6269 
6270    Level: intermediate
6271 
6272 .keywords: TS, monitor, line graph, residual, seealso
6273 
6274 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
6275 
6276 @*/
6277 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
6278 {
6279   PetscErrorCode ierr;
6280 
6281   PetscFunctionBegin;
6282   ierr = PetscNew(ctx);CHKERRQ(ierr);
6283   PetscFunctionReturn(0);
6284 }
6285 
6286 #undef __FUNCT__
6287 #define __FUNCT__ "TSMonitorEnvelope"
6288 /*@C
6289    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
6290 
6291    Collective on TS
6292 
6293    Input Parameters:
6294 +  ts - the TS context
6295 .  step - current time-step
6296 .  ptime - current time
6297 -  ctx - the envelope context
6298 
6299    Options Database:
6300 .  -ts_monitor_envelope
6301 
6302    Level: intermediate
6303 
6304    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
6305 
6306 .keywords: TS,  vector, monitor, view
6307 
6308 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds()
6309 @*/
6310 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6311 {
6312   PetscErrorCode       ierr;
6313   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dummy;
6314 
6315   PetscFunctionBegin;
6316   if (!ctx->max) {
6317     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
6318     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
6319     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
6320     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
6321   } else {
6322     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
6323     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
6324   }
6325   PetscFunctionReturn(0);
6326 }
6327 
6328 
6329 #undef __FUNCT__
6330 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
6331 /*@C
6332    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
6333 
6334    Collective on TS
6335 
6336    Input Parameter:
6337 .  ts - the TS context
6338 
6339    Output Parameter:
6340 +  max - the maximum values
6341 -  min - the minimum values
6342 
6343    Level: intermediate
6344 
6345 .keywords: TS,  vector, monitor, view
6346 
6347 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6348 @*/
6349 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
6350 {
6351   PetscInt i;
6352 
6353   PetscFunctionBegin;
6354   if (max) *max = NULL;
6355   if (min) *min = NULL;
6356   for (i=0; i<ts->numbermonitors; i++) {
6357     if (ts->monitor[i] == TSMonitorEnvelope) {
6358       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
6359       if (max) *max = ctx->max;
6360       if (min) *min = ctx->min;
6361       break;
6362     }
6363   }
6364   PetscFunctionReturn(0);
6365 }
6366 
6367 #undef __FUNCT__
6368 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
6369 /*@C
6370    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
6371 
6372    Collective on TSMonitorEnvelopeCtx
6373 
6374    Input Parameter:
6375 .  ctx - the monitor context
6376 
6377    Level: intermediate
6378 
6379 .keywords: TS, monitor, line graph, destroy
6380 
6381 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
6382 @*/
6383 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
6384 {
6385   PetscErrorCode ierr;
6386 
6387   PetscFunctionBegin;
6388   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
6389   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
6390   ierr = PetscFree(*ctx);CHKERRQ(ierr);
6391   PetscFunctionReturn(0);
6392 }
6393 
6394 #undef __FUNCT__
6395 #define __FUNCT__ "TSRollBack"
6396 /*@
6397    TSRollBack - Rolls back one time step
6398 
6399    Collective on TS
6400 
6401    Input Parameter:
6402 .  ts - the TS context obtained from TSCreate()
6403 
6404    Level: advanced
6405 
6406 .keywords: TS, timestep, rollback
6407 
6408 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
6409 @*/
6410 PetscErrorCode  TSRollBack(TS ts)
6411 {
6412   PetscErrorCode ierr;
6413 
6414   PetscFunctionBegin;
6415   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6416 
6417   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
6418   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
6419   ts->time_step = ts->ptime - ts->ptime_prev;
6420   ts->ptime = ts->ptime_prev;
6421   ts->steprollback = PETSC_TRUE; /* Flag to indicate that the step is rollbacked */
6422   PetscFunctionReturn(0);
6423 }
6424 
6425 #undef __FUNCT__
6426 #define __FUNCT__ "TSGetStages"
6427 /*@
6428    TSGetStages - Get the number of stages and stage values
6429 
6430    Input Parameter:
6431 .  ts - the TS context obtained from TSCreate()
6432 
6433    Level: advanced
6434 
6435 .keywords: TS, getstages
6436 
6437 .seealso: TSCreate()
6438 @*/
6439 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
6440 {
6441   PetscErrorCode ierr;
6442 
6443   PetscFunctionBegin;
6444   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6445   PetscValidPointer(ns,2);
6446 
6447   if (!ts->ops->getstages) *ns=0;
6448   else {
6449     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
6450   }
6451   PetscFunctionReturn(0);
6452 }
6453 
6454 #undef __FUNCT__
6455 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
6456 /*@C
6457   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
6458 
6459   Collective on SNES
6460 
6461   Input Parameters:
6462 + ts - the TS context
6463 . t - current timestep
6464 . U - state vector
6465 . Udot - time derivative of state vector
6466 . shift - shift to apply, see note below
6467 - ctx - an optional user context
6468 
6469   Output Parameters:
6470 + J - Jacobian matrix (not altered in this routine)
6471 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
6472 
6473   Level: intermediate
6474 
6475   Notes:
6476   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
6477 
6478   dF/dU + shift*dF/dUdot
6479 
6480   Most users should not need to explicitly call this routine, as it
6481   is used internally within the nonlinear solvers.
6482 
6483   This will first try to get the coloring from the DM.  If the DM type has no coloring
6484   routine, then it will try to get the coloring from the matrix.  This requires that the
6485   matrix have nonzero entries precomputed.
6486 
6487 .keywords: TS, finite differences, Jacobian, coloring, sparse
6488 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
6489 @*/
6490 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
6491 {
6492   SNES           snes;
6493   MatFDColoring  color;
6494   PetscBool      hascolor, matcolor = PETSC_FALSE;
6495   PetscErrorCode ierr;
6496 
6497   PetscFunctionBegin;
6498   ierr = PetscOptionsGetBool(((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
6499   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
6500   if (!color) {
6501     DM         dm;
6502     ISColoring iscoloring;
6503 
6504     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
6505     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
6506     if (hascolor && !matcolor) {
6507       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
6508       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
6509       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
6510       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
6511       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
6512       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
6513     } else {
6514       MatColoring mc;
6515 
6516       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
6517       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
6518       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
6519       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
6520       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
6521       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
6522       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
6523       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
6524       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
6525       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
6526       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
6527     }
6528     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
6529     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
6530   }
6531   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
6532   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
6533   if (J != B) {
6534     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
6535     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
6536   }
6537   PetscFunctionReturn(0);
6538 }
6539 
6540 #undef  __FUNCT__
6541 #define __FUNCT__ "TSClone"
6542 /*@C
6543   TSClone - This function clones a time step object.
6544 
6545   Collective on MPI_Comm
6546 
6547   Input Parameter:
6548 . tsin    - The input TS
6549 
6550   Output Parameter:
6551 . tsout   - The output TS (cloned)
6552 
6553   Notes:
6554   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.
6555 
6556   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);
6557 
6558   Level: developer
6559 
6560 .keywords: TS, clone
6561 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
6562 @*/
6563 PetscErrorCode  TSClone(TS tsin, TS *tsout)
6564 {
6565   TS             t;
6566   PetscErrorCode ierr;
6567   SNES           snes_start;
6568   DM             dm;
6569   TSType         type;
6570 
6571   PetscFunctionBegin;
6572   PetscValidPointer(tsin,1);
6573   *tsout = NULL;
6574 
6575   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
6576 
6577   /* General TS description */
6578   t->numbermonitors    = 0;
6579   t->setupcalled       = 0;
6580   t->ksp_its           = 0;
6581   t->snes_its          = 0;
6582   t->nwork             = 0;
6583   t->rhsjacobian.time  = -1e20;
6584   t->rhsjacobian.scale = 1.;
6585   t->ijacobian.shift   = 1.;
6586 
6587   ierr = TSGetSNES(tsin,&snes_start);                   CHKERRQ(ierr);
6588   ierr = TSSetSNES(t,snes_start);                       CHKERRQ(ierr);
6589 
6590   ierr = TSGetDM(tsin,&dm);                             CHKERRQ(ierr);
6591   ierr = TSSetDM(t,dm);                                 CHKERRQ(ierr);
6592 
6593   t->adapt=tsin->adapt;
6594   PetscObjectReference((PetscObject)t->adapt);
6595 
6596   t->problem_type      = tsin->problem_type;
6597   t->ptime             = tsin->ptime;
6598   t->time_step         = tsin->time_step;
6599   t->time_step_orig    = tsin->time_step_orig;
6600   t->max_time          = tsin->max_time;
6601   t->steps             = tsin->steps;
6602   t->max_steps         = tsin->max_steps;
6603   t->equation_type     = tsin->equation_type;
6604   t->atol              = tsin->atol;
6605   t->rtol              = tsin->rtol;
6606   t->max_snes_failures = tsin->max_snes_failures;
6607   t->max_reject        = tsin->max_reject;
6608   t->errorifstepfailed = tsin->errorifstepfailed;
6609 
6610   ierr = TSGetType(tsin,&type); CHKERRQ(ierr);
6611   ierr = TSSetType(t,type);     CHKERRQ(ierr);
6612 
6613   t->vec_sol           = NULL;
6614 
6615   t->cfltime          = tsin->cfltime;
6616   t->cfltime_local    = tsin->cfltime_local;
6617   t->exact_final_time = tsin->exact_final_time;
6618 
6619   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
6620 
6621   *tsout = t;
6622   PetscFunctionReturn(0);
6623 }
6624