Actual source code: ex13.c
1: static char help[] = "Tests TSTrajectoryGetVecs. \n\n";
2: /*
3: This example tests TSTrajectory and the ability of TSTrajectoryGetVecs
4: to reconstructs states and derivatives via interpolation (if necessary).
5: It also tests TSTrajectory{Get|Restore}UpdatedHistoryVecs
6: */
7: #include <petscts.h>
9: PetscScalar func(PetscInt p, PetscReal t) { return p ? t*func(p-1,t) : 1.0; }
10: PetscScalar dfunc(PetscInt p, PetscReal t) { return p > 0 ? (PetscReal)p*func(p-1,t) : 0.0; }
12: int main(int argc,char **argv)
13: {
14: TS ts;
15: Vec W,W2,Wdot;
16: TSTrajectory tj;
17: PetscReal times[10], tol = PETSC_SMALL;
18: PetscReal TT[10] = { 2, 9, 1, 3, 6, 7, 5, 10, 4, 8 };
19: PetscInt i, p = 1, Nt = 10;
20: PetscInt II[10] = { 1, 4, 9, 2, 3, 6, 5, 8, 0, 7 };
21: PetscBool sort,use1,use2,check = PETSC_FALSE;
23: PetscInitialize(&argc,&argv,(char*)0,help);
24: VecCreate(PETSC_COMM_WORLD,&W);
25: VecSetSizes(W,1,PETSC_DECIDE);
26: VecSetUp(W);
27: VecDuplicate(W,&Wdot);
28: VecDuplicate(W,&W2);
29: TSCreate(PETSC_COMM_WORLD,&ts);
30: TSSetSolution(ts,W2);
31: TSSetMaxSteps(ts,10);
32: TSSetSaveTrajectory(ts);
33: TSGetTrajectory(ts,&tj);
34: TSTrajectorySetType(tj,ts,TSTRAJECTORYBASIC);
35: TSTrajectorySetFromOptions(tj,ts);
36: TSTrajectorySetSolutionOnly(tj,PETSC_TRUE);
37: TSTrajectorySetUp(tj,ts);
38: PetscOptionsGetBool(NULL,NULL,"-check",&check,NULL);
39: PetscOptionsGetInt(NULL,NULL,"-p",&p,NULL);
40: PetscOptionsGetRealArray(NULL,NULL,"-interptimes",times,&Nt,NULL);
41: sort = PETSC_FALSE;
42: PetscOptionsGetBool(NULL,NULL,"-sorttimes",&sort,NULL);
43: if (sort) {
44: PetscSortReal(10,TT);
45: }
46: sort = PETSC_FALSE;
47: PetscOptionsGetBool(NULL,NULL,"-sortkeys",&sort,NULL);
48: if (sort) {
49: PetscSortInt(10,II);
50: }
51: p = PetscMax(p,-p);
53: /* populate trajectory */
54: for (i = 0; i < 10; i++) {
55: VecSet(W,func(p,TT[i]));
56: TSSetStepNumber(ts,II[i]);
57: TSTrajectorySet(tj,ts,II[i],TT[i],W);
58: }
59: for (i = 0; i < Nt; i++) {
60: PetscReal testtime = times[i], serr, derr;
61: const PetscScalar *aW,*aWdot;
63: TSTrajectoryGetVecs(tj,ts,PETSC_DECIDE,&testtime,W,Wdot);
64: VecGetArrayRead(W,&aW);
65: VecGetArrayRead(Wdot,&aWdot);
66: PetscPrintf(PETSC_COMM_WORLD," f(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(func(p,testtime)),(double)PetscRealPart(aW[0]));
67: PetscPrintf(PETSC_COMM_WORLD,"df(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(dfunc(p,testtime)),(double)PetscRealPart(aWdot[0]));
68: serr = PetscAbsScalar(func(p,testtime)-aW[0]);
69: derr = PetscAbsScalar(dfunc(p,testtime)-aWdot[0]);
70: VecRestoreArrayRead(W,&aW);
71: VecRestoreArrayRead(Wdot,&aWdot);
74: }
75: for (i = Nt-1; i >= 0; i--) {
76: PetscReal testtime = times[i], serr;
77: const PetscScalar *aW;
79: TSTrajectoryGetVecs(tj,ts,PETSC_DECIDE,&testtime,W,NULL);
80: VecGetArrayRead(W,&aW);
81: PetscPrintf(PETSC_COMM_WORLD," f(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(func(p,testtime)),(double)PetscRealPart(aW[0]));
82: serr = PetscAbsScalar(func(p,testtime)-aW[0]);
83: VecRestoreArrayRead(W,&aW);
85: }
86: for (i = Nt-1; i >= 0; i--) {
87: PetscReal testtime = times[i], derr;
88: const PetscScalar *aWdot;
90: TSTrajectoryGetVecs(tj,ts,PETSC_DECIDE,&testtime,NULL,Wdot);
91: VecGetArrayRead(Wdot,&aWdot);
92: PetscPrintf(PETSC_COMM_WORLD,"df(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(dfunc(p,testtime)),(double)PetscRealPart(aWdot[0]));
93: derr = PetscAbsScalar(dfunc(p,testtime)-aWdot[0]);
94: VecRestoreArrayRead(Wdot,&aWdot);
96: }
97: for (i = 0; i < Nt; i++) {
98: PetscReal testtime = times[i], serr, derr;
99: const PetscScalar *aW,*aWdot;
100: Vec hW,hWdot;
102: TSTrajectoryGetUpdatedHistoryVecs(tj,ts,testtime,&hW,&hWdot);
103: VecGetArrayRead(hW,&aW);
104: VecGetArrayRead(hWdot,&aWdot);
105: PetscPrintf(PETSC_COMM_WORLD," f(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(func(p,testtime)),(double)PetscRealPart(aW[0]));
106: PetscPrintf(PETSC_COMM_WORLD,"df(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(dfunc(p,testtime)),(double)PetscRealPart(aWdot[0]));
107: serr = PetscAbsScalar(func(p,testtime)-aW[0]);
108: derr = PetscAbsScalar(dfunc(p,testtime)-aWdot[0]);
109: VecRestoreArrayRead(hW,&aW);
110: VecRestoreArrayRead(hWdot,&aWdot);
111: TSTrajectoryRestoreUpdatedHistoryVecs(tj,&hW,&hWdot);
114: }
116: /* Test on-the-fly reconstruction */
117: TSDestroy(&ts);
118: TSCreate(PETSC_COMM_WORLD,&ts);
119: TSSetSolution(ts,W2);
120: TSSetMaxSteps(ts,10);
121: TSSetSaveTrajectory(ts);
122: TSGetTrajectory(ts,&tj);
123: TSTrajectorySetType(tj,ts,TSTRAJECTORYBASIC);
124: TSTrajectorySetFromOptions(tj,ts);
125: TSTrajectorySetSolutionOnly(tj,PETSC_TRUE);
126: TSTrajectorySetUp(tj,ts);
127: use1 = PETSC_FALSE;
128: use2 = PETSC_TRUE;
129: PetscOptionsGetBool(NULL,NULL,"-use_state",&use1,NULL);
130: PetscOptionsGetBool(NULL,NULL,"-use_der",&use2,NULL);
131: PetscSortReal(10,TT);
132: for (i = 0; i < 10; i++) {
134: TSSetStepNumber(ts,i);
135: VecSet(W,func(p,TT[i]));
136: TSTrajectorySet(tj,ts,i,TT[i],W);
137: if (i) {
138: const PetscScalar *aW,*aWdot;
139: Vec hW,hWdot;
140: PetscReal testtime = TT[i], serr, derr;
142: TSTrajectoryGetUpdatedHistoryVecs(tj,ts,testtime,use1 ? &hW : NULL,use2 ? &hWdot : NULL);
143: if (use1) {
144: VecGetArrayRead(hW,&aW);
145: PetscPrintf(PETSC_COMM_WORLD," f(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(func(p,testtime)),(double)PetscRealPart(aW[0]));
146: serr = PetscAbsScalar(func(p,testtime)-aW[0]);
147: VecRestoreArrayRead(hW,&aW);
149: }
150: if (use2) {
151: VecGetArrayRead(hWdot,&aWdot);
152: PetscPrintf(PETSC_COMM_WORLD,"df(%g) = %g (reconstructed %g)\n",(double)testtime,(double)PetscRealPart(dfunc(p,testtime)),(double)PetscRealPart(aWdot[0]));
153: derr = PetscAbsScalar(dfunc(p,testtime)-aWdot[0]);
154: VecRestoreArrayRead(hWdot,&aWdot);
156: }
157: TSTrajectoryRestoreUpdatedHistoryVecs(tj,use1 ? &hW : NULL,use2 ? &hWdot : NULL);
158: }
159: }
160: TSRemoveTrajectory(ts);
161: TSDestroy(&ts);
162: VecDestroy(&W);
163: VecDestroy(&W2);
164: VecDestroy(&Wdot);
165: PetscFinalize();
166: return 0;
167: }
169: /*TEST
171: test:
172: suffix: 1
173: requires: !single
174: args: -ts_trajectory_monitor -p 3 -ts_trajectory_reconstruction_order 3 -interptimes 1,9.9,3,1.1,1.1,5.6 -check
176: test:
177: suffix: 2
178: requires: !single
179: args: -sortkeys -ts_trajectory_monitor -ts_trajectory_type memory -p 3 -ts_trajectory_reconstruction_order 3 -ts_trajectory_adjointmode 0 -interptimes 1,9.9,3,1.1,1.1,5.6 -check
181: test:
182: suffix: 3
183: requires: !single
184: args: -ts_trajectory_monitor -p 3 -ts_trajectory_reconstruction_order 5 -interptimes 1,9.9,3,1.1,1.1,5.6 -check
186: TEST*/