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)
10: {
11: return p ? t * func(p - 1, t) : 1.0;
12: }
13: PetscScalar dfunc(PetscInt p, PetscReal t)
14: {
15: return p > 0 ? (PetscReal)p * func(p - 1, t) : 0.0;
16: }
18: int main(int argc, char **argv)
19: {
20: TS ts;
21: Vec W, W2, Wdot;
22: TSTrajectory tj;
23: PetscReal times[10], tol = PETSC_SMALL;
24: PetscReal TT[10] = {2, 9, 1, 3, 6, 7, 5, 10, 4, 8};
25: PetscInt i, p = 1, Nt = 10;
26: PetscInt II[10] = {1, 4, 9, 2, 3, 6, 5, 8, 0, 7};
27: PetscBool sort, use1, use2, check = PETSC_FALSE;
29: PetscFunctionBeginUser;
30: PetscCall(PetscInitialize(&argc, &argv, (char *)0, help));
31: PetscCall(VecCreate(PETSC_COMM_WORLD, &W));
32: PetscCall(VecSetSizes(W, 1, PETSC_DECIDE));
33: PetscCall(VecSetUp(W));
34: PetscCall(VecDuplicate(W, &Wdot));
35: PetscCall(VecDuplicate(W, &W2));
36: PetscCall(TSCreate(PETSC_COMM_WORLD, &ts));
37: PetscCall(TSSetSolution(ts, W2));
38: PetscCall(TSSetMaxSteps(ts, 10));
39: PetscCall(TSSetSaveTrajectory(ts));
40: PetscCall(TSGetTrajectory(ts, &tj));
41: PetscCall(TSTrajectorySetType(tj, ts, TSTRAJECTORYBASIC));
42: PetscCall(TSTrajectorySetFromOptions(tj, ts));
43: PetscCall(TSTrajectorySetSolutionOnly(tj, PETSC_TRUE));
44: PetscCall(TSTrajectorySetUp(tj, ts));
45: PetscCall(PetscOptionsGetBool(NULL, NULL, "-check", &check, NULL));
46: PetscCall(PetscOptionsGetInt(NULL, NULL, "-p", &p, NULL));
47: PetscCall(PetscOptionsGetRealArray(NULL, NULL, "-interptimes", times, &Nt, NULL));
48: sort = PETSC_FALSE;
49: PetscCall(PetscOptionsGetBool(NULL, NULL, "-sorttimes", &sort, NULL));
50: if (sort) PetscCall(PetscSortReal(10, TT));
51: sort = PETSC_FALSE;
52: PetscCall(PetscOptionsGetBool(NULL, NULL, "-sortkeys", &sort, NULL));
53: if (sort) PetscCall(PetscSortInt(10, II));
54: p = PetscMax(p, -p);
56: /* populate trajectory */
57: for (i = 0; i < 10; i++) {
58: PetscCall(VecSet(W, func(p, TT[i])));
59: PetscCall(TSSetStepNumber(ts, II[i]));
60: PetscCall(TSTrajectorySet(tj, ts, II[i], TT[i], W));
61: }
62: for (i = 0; i < Nt; i++) {
63: PetscReal testtime = times[i], serr, derr;
64: const PetscScalar *aW, *aWdot;
66: PetscCall(TSTrajectoryGetVecs(tj, ts, PETSC_DECIDE, &testtime, W, Wdot));
67: PetscCall(VecGetArrayRead(W, &aW));
68: PetscCall(VecGetArrayRead(Wdot, &aWdot));
69: PetscCall(PetscPrintf(PETSC_COMM_WORLD, " f(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(func(p, testtime)), (double)PetscRealPart(aW[0])));
70: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "df(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(dfunc(p, testtime)), (double)PetscRealPart(aWdot[0])));
71: serr = PetscAbsScalar(func(p, testtime) - aW[0]);
72: derr = PetscAbsScalar(dfunc(p, testtime) - aWdot[0]);
73: PetscCall(VecRestoreArrayRead(W, &aW));
74: PetscCall(VecRestoreArrayRead(Wdot, &aWdot));
75: PetscCheck(!check || serr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state %g > %g", (double)serr, (double)tol);
76: PetscCheck(!check || derr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state derivative %g > %g", (double)derr, (double)tol);
77: }
78: for (i = Nt - 1; i >= 0; i--) {
79: PetscReal testtime = times[i], serr;
80: const PetscScalar *aW;
82: PetscCall(TSTrajectoryGetVecs(tj, ts, PETSC_DECIDE, &testtime, W, NULL));
83: PetscCall(VecGetArrayRead(W, &aW));
84: PetscCall(PetscPrintf(PETSC_COMM_WORLD, " f(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(func(p, testtime)), (double)PetscRealPart(aW[0])));
85: serr = PetscAbsScalar(func(p, testtime) - aW[0]);
86: PetscCall(VecRestoreArrayRead(W, &aW));
87: PetscCheck(!check || serr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state %g > %g", (double)serr, (double)tol);
88: }
89: for (i = Nt - 1; i >= 0; i--) {
90: PetscReal testtime = times[i], derr;
91: const PetscScalar *aWdot;
93: PetscCall(TSTrajectoryGetVecs(tj, ts, PETSC_DECIDE, &testtime, NULL, Wdot));
94: PetscCall(VecGetArrayRead(Wdot, &aWdot));
95: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "df(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(dfunc(p, testtime)), (double)PetscRealPart(aWdot[0])));
96: derr = PetscAbsScalar(dfunc(p, testtime) - aWdot[0]);
97: PetscCall(VecRestoreArrayRead(Wdot, &aWdot));
98: PetscCheck(!check || derr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state derivative %g > %g", (double)derr, (double)tol);
99: }
100: for (i = 0; i < Nt; i++) {
101: PetscReal testtime = times[i], serr, derr;
102: const PetscScalar *aW, *aWdot;
103: Vec hW, hWdot;
105: PetscCall(TSTrajectoryGetUpdatedHistoryVecs(tj, ts, testtime, &hW, &hWdot));
106: PetscCall(VecGetArrayRead(hW, &aW));
107: PetscCall(VecGetArrayRead(hWdot, &aWdot));
108: PetscCall(PetscPrintf(PETSC_COMM_WORLD, " f(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(func(p, testtime)), (double)PetscRealPart(aW[0])));
109: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "df(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(dfunc(p, testtime)), (double)PetscRealPart(aWdot[0])));
110: serr = PetscAbsScalar(func(p, testtime) - aW[0]);
111: derr = PetscAbsScalar(dfunc(p, testtime) - aWdot[0]);
112: PetscCall(VecRestoreArrayRead(hW, &aW));
113: PetscCall(VecRestoreArrayRead(hWdot, &aWdot));
114: PetscCall(TSTrajectoryRestoreUpdatedHistoryVecs(tj, &hW, &hWdot));
115: PetscCheck(!check || serr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state %g > %g", (double)serr, (double)tol);
116: PetscCheck(!check || derr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state derivative %g > %g", (double)derr, (double)tol);
117: }
119: /* Test on-the-fly reconstruction */
120: PetscCall(TSDestroy(&ts));
121: PetscCall(TSCreate(PETSC_COMM_WORLD, &ts));
122: PetscCall(TSSetSolution(ts, W2));
123: PetscCall(TSSetMaxSteps(ts, 10));
124: PetscCall(TSSetSaveTrajectory(ts));
125: PetscCall(TSGetTrajectory(ts, &tj));
126: PetscCall(TSTrajectorySetType(tj, ts, TSTRAJECTORYBASIC));
127: PetscCall(TSTrajectorySetFromOptions(tj, ts));
128: PetscCall(TSTrajectorySetSolutionOnly(tj, PETSC_TRUE));
129: PetscCall(TSTrajectorySetUp(tj, ts));
130: use1 = PETSC_FALSE;
131: use2 = PETSC_TRUE;
132: PetscCall(PetscOptionsGetBool(NULL, NULL, "-use_state", &use1, NULL));
133: PetscCall(PetscOptionsGetBool(NULL, NULL, "-use_der", &use2, NULL));
134: PetscCall(PetscSortReal(10, TT));
135: for (i = 0; i < 10; i++) {
136: PetscCall(TSSetStepNumber(ts, i));
137: PetscCall(VecSet(W, func(p, TT[i])));
138: PetscCall(TSTrajectorySet(tj, ts, i, TT[i], W));
139: if (i) {
140: const PetscScalar *aW, *aWdot;
141: Vec hW, hWdot;
142: PetscReal testtime = TT[i], serr, derr;
144: PetscCall(TSTrajectoryGetUpdatedHistoryVecs(tj, ts, testtime, use1 ? &hW : NULL, use2 ? &hWdot : NULL));
145: if (use1) {
146: PetscCall(VecGetArrayRead(hW, &aW));
147: PetscCall(PetscPrintf(PETSC_COMM_WORLD, " f(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(func(p, testtime)), (double)PetscRealPart(aW[0])));
148: serr = PetscAbsScalar(func(p, testtime) - aW[0]);
149: PetscCall(VecRestoreArrayRead(hW, &aW));
150: PetscCheck(!check || serr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state %g > %g", (double)serr, (double)tol);
151: }
152: if (use2) {
153: PetscCall(VecGetArrayRead(hWdot, &aWdot));
154: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "df(%g) = %g (reconstructed %g)\n", (double)testtime, (double)PetscRealPart(dfunc(p, testtime)), (double)PetscRealPart(aWdot[0])));
155: derr = PetscAbsScalar(dfunc(p, testtime) - aWdot[0]);
156: PetscCall(VecRestoreArrayRead(hWdot, &aWdot));
157: PetscCheck(!check || i < p || derr <= tol, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in state derivative %g > %g", (double)derr, (double)tol);
158: }
159: PetscCall(TSTrajectoryRestoreUpdatedHistoryVecs(tj, use1 ? &hW : NULL, use2 ? &hWdot : NULL));
160: }
161: }
162: PetscCall(TSRemoveTrajectory(ts));
163: PetscCall(TSDestroy(&ts));
164: PetscCall(VecDestroy(&W));
165: PetscCall(VecDestroy(&W2));
166: PetscCall(VecDestroy(&Wdot));
167: PetscCall(PetscFinalize());
168: return 0;
169: }
171: /*TEST
173: test:
174: suffix: 1
175: requires: !single
176: args: -ts_trajectory_monitor -p 3 -ts_trajectory_reconstruction_order 3 -interptimes 1,9.9,3,1.1,1.1,5.6 -check
178: test:
179: suffix: 2
180: requires: !single
181: 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
183: test:
184: suffix: 3
185: requires: !single
186: args: -ts_trajectory_monitor -p 3 -ts_trajectory_reconstruction_order 5 -interptimes 1,9.9,3,1.1,1.1,5.6 -check
188: TEST*/