1 static char help[] = "Basic equation for generator stability analysis.\n";
2
3 /*F
4
5 \begin{eqnarray}
6 \frac{d \theta}{dt} = \omega_b (\omega - \omega_s)
7 \frac{2 H}{\omega_s}\frac{d \omega}{dt} & = & P_m - P_max \sin(\theta) -D(\omega - \omega_s)\\
8 \end{eqnarray}
9
10 Ensemble of initial conditions
11 ./ex2 -ensemble -ts_monitor_draw_solution_phase -1,-3,3,3 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly
12
13 Fault at .1 seconds
14 ./ex2 -ts_monitor_draw_solution_phase .42,.95,.6,1.05 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly
15
16 Initial conditions same as when fault is ended
17 ./ex2 -u 0.496792,1.00932 -ts_monitor_draw_solution_phase .42,.95,.6,1.05 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly
18
19 F*/
20
21 /*
22 Include "petscts.h" so that we can use TS solvers. Note that this
23 file automatically includes:
24 petscsys.h - base PETSc routines petscvec.h - vectors
25 petscmat.h - matrices
26 petscis.h - index sets petscksp.h - Krylov subspace methods
27 petscviewer.h - viewers petscpc.h - preconditioners
28 petscksp.h - linear solvers
29 */
30
31 #include <petsctao.h>
32 #include <petscts.h>
33
34 typedef struct {
35 TS ts;
36 PetscScalar H, D, omega_b, omega_s, Pmax, Pm, E, V, X, u_s, c;
37 PetscInt beta;
38 PetscReal tf, tcl, dt;
39 } AppCtx;
40
41 PetscErrorCode FormFunction(Tao, Vec, PetscReal *, void *);
42 PetscErrorCode FormGradient(Tao, Vec, Vec, void *);
43
44 /*
45 Defines the ODE passed to the ODE solver
46 */
RHSFunction(TS ts,PetscReal t,Vec U,Vec F,AppCtx * ctx)47 static PetscErrorCode RHSFunction(TS ts, PetscReal t, Vec U, Vec F, AppCtx *ctx)
48 {
49 PetscScalar *f, Pmax;
50 const PetscScalar *u;
51
52 PetscFunctionBegin;
53 /* The next three lines allow us to access the entries of the vectors directly */
54 PetscCall(VecGetArrayRead(U, &u));
55 PetscCall(VecGetArray(F, &f));
56 if ((t > ctx->tf) && (t < ctx->tcl)) Pmax = 0.0; /* A short-circuit on the generator terminal that drives the electrical power output (Pmax*sin(delta)) to 0 */
57 else Pmax = ctx->Pmax;
58
59 f[0] = ctx->omega_b * (u[1] - ctx->omega_s);
60 f[1] = (-Pmax * PetscSinScalar(u[0]) - ctx->D * (u[1] - ctx->omega_s) + ctx->Pm) * ctx->omega_s / (2.0 * ctx->H);
61
62 PetscCall(VecRestoreArrayRead(U, &u));
63 PetscCall(VecRestoreArray(F, &f));
64 PetscFunctionReturn(PETSC_SUCCESS);
65 }
66
67 /*
68 Defines the Jacobian of the ODE passed to the ODE solver. See TSSetIJacobian() for the meaning of a and the Jacobian.
69 */
RHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B,AppCtx * ctx)70 static PetscErrorCode RHSJacobian(TS ts, PetscReal t, Vec U, Mat A, Mat B, AppCtx *ctx)
71 {
72 PetscInt rowcol[] = {0, 1};
73 PetscScalar J[2][2], Pmax;
74 const PetscScalar *u;
75
76 PetscFunctionBegin;
77 PetscCall(VecGetArrayRead(U, &u));
78 if ((t > ctx->tf) && (t < ctx->tcl)) Pmax = 0.0; /* A short-circuit on the generator terminal that drives the electrical power output (Pmax*sin(delta)) to 0 */
79 else Pmax = ctx->Pmax;
80
81 J[0][0] = 0;
82 J[0][1] = ctx->omega_b;
83 J[1][1] = -ctx->D * ctx->omega_s / (2.0 * ctx->H);
84 J[1][0] = -Pmax * PetscCosScalar(u[0]) * ctx->omega_s / (2.0 * ctx->H);
85
86 PetscCall(MatSetValues(A, 2, rowcol, 2, rowcol, &J[0][0], INSERT_VALUES));
87 PetscCall(VecRestoreArrayRead(U, &u));
88
89 PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
90 PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
91 if (A != B) {
92 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
93 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
94 }
95 PetscFunctionReturn(PETSC_SUCCESS);
96 }
97
RHSJacobianP(TS ts,PetscReal t,Vec X,Mat A,PetscCtx ctx0)98 static PetscErrorCode RHSJacobianP(TS ts, PetscReal t, Vec X, Mat A, PetscCtx ctx0)
99 {
100 PetscInt row[] = {0, 1}, col[] = {0};
101 PetscScalar J[2][1];
102 AppCtx *ctx = (AppCtx *)ctx0;
103
104 PetscFunctionBeginUser;
105 J[0][0] = 0;
106 J[1][0] = ctx->omega_s / (2.0 * ctx->H);
107 PetscCall(MatSetValues(A, 2, row, 1, col, &J[0][0], INSERT_VALUES));
108 PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
109 PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
110 PetscFunctionReturn(PETSC_SUCCESS);
111 }
112
CostIntegrand(TS ts,PetscReal t,Vec U,Vec R,AppCtx * ctx)113 static PetscErrorCode CostIntegrand(TS ts, PetscReal t, Vec U, Vec R, AppCtx *ctx)
114 {
115 PetscScalar *r;
116 const PetscScalar *u;
117
118 PetscFunctionBegin;
119 PetscCall(VecGetArrayRead(U, &u));
120 PetscCall(VecGetArray(R, &r));
121 r[0] = ctx->c * PetscPowScalarInt(PetscMax(0., u[0] - ctx->u_s), ctx->beta);
122 PetscCall(VecRestoreArray(R, &r));
123 PetscCall(VecRestoreArrayRead(U, &u));
124 PetscFunctionReturn(PETSC_SUCCESS);
125 }
126
DRDUJacobianTranspose(TS ts,PetscReal t,Vec U,Mat DRDU,Mat B,AppCtx * ctx)127 static PetscErrorCode DRDUJacobianTranspose(TS ts, PetscReal t, Vec U, Mat DRDU, Mat B, AppCtx *ctx)
128 {
129 PetscScalar ru[1];
130 const PetscScalar *u;
131 PetscInt row[] = {0}, col[] = {0};
132
133 PetscFunctionBegin;
134 PetscCall(VecGetArrayRead(U, &u));
135 ru[0] = ctx->c * ctx->beta * PetscPowScalarInt(PetscMax(0., u[0] - ctx->u_s), ctx->beta - 1);
136 PetscCall(VecRestoreArrayRead(U, &u));
137 PetscCall(MatSetValues(DRDU, 1, row, 1, col, ru, INSERT_VALUES));
138 PetscCall(MatAssemblyBegin(DRDU, MAT_FINAL_ASSEMBLY));
139 PetscCall(MatAssemblyEnd(DRDU, MAT_FINAL_ASSEMBLY));
140 PetscFunctionReturn(PETSC_SUCCESS);
141 }
142
DRDPJacobianTranspose(TS ts,PetscReal t,Vec U,Mat DRDP,AppCtx * ctx)143 static PetscErrorCode DRDPJacobianTranspose(TS ts, PetscReal t, Vec U, Mat DRDP, AppCtx *ctx)
144 {
145 PetscFunctionBegin;
146 PetscCall(MatZeroEntries(DRDP));
147 PetscCall(MatAssemblyBegin(DRDP, MAT_FINAL_ASSEMBLY));
148 PetscCall(MatAssemblyEnd(DRDP, MAT_FINAL_ASSEMBLY));
149 PetscFunctionReturn(PETSC_SUCCESS);
150 }
151
ComputeSensiP(Vec lambda,Vec mu,AppCtx * ctx)152 PetscErrorCode ComputeSensiP(Vec lambda, Vec mu, AppCtx *ctx)
153 {
154 PetscScalar *y, sensip;
155 const PetscScalar *x;
156
157 PetscFunctionBegin;
158 PetscCall(VecGetArrayRead(lambda, &x));
159 PetscCall(VecGetArray(mu, &y));
160 sensip = 1. / PetscSqrtScalar(1. - (ctx->Pm / ctx->Pmax) * (ctx->Pm / ctx->Pmax)) / ctx->Pmax * x[0] + y[0];
161 y[0] = sensip;
162 PetscCall(VecRestoreArray(mu, &y));
163 PetscCall(VecRestoreArrayRead(lambda, &x));
164 PetscFunctionReturn(PETSC_SUCCESS);
165 }
166
main(int argc,char ** argv)167 int main(int argc, char **argv)
168 {
169 Vec p;
170 PetscScalar *x_ptr;
171 PetscMPIInt size;
172 AppCtx ctx;
173 Vec lowerb, upperb;
174 Tao tao;
175 KSP ksp;
176 PC pc;
177 Vec U, lambda[1], mu[1];
178 Mat A; /* Jacobian matrix */
179 Mat Jacp; /* Jacobian matrix */
180 Mat DRDU, DRDP;
181 PetscInt n = 2;
182 TS quadts;
183
184 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
185 Initialize program
186 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
187 PetscFunctionBeginUser;
188 PetscCall(PetscInitialize(&argc, &argv, NULL, help));
189 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
190 PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only!");
191
192 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
193 Set runtime options
194 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
195 PetscOptionsBegin(PETSC_COMM_WORLD, NULL, "Swing equation options", "");
196 {
197 ctx.beta = 2;
198 ctx.c = PetscRealConstant(10000.0);
199 ctx.u_s = PetscRealConstant(1.0);
200 ctx.omega_s = PetscRealConstant(1.0);
201 ctx.omega_b = PetscRealConstant(120.0) * PETSC_PI;
202 ctx.H = PetscRealConstant(5.0);
203 PetscCall(PetscOptionsScalar("-Inertia", "", "", ctx.H, &ctx.H, NULL));
204 ctx.D = PetscRealConstant(5.0);
205 PetscCall(PetscOptionsScalar("-D", "", "", ctx.D, &ctx.D, NULL));
206 ctx.E = PetscRealConstant(1.1378);
207 ctx.V = PetscRealConstant(1.0);
208 ctx.X = PetscRealConstant(0.545);
209 ctx.Pmax = ctx.E * ctx.V / ctx.X;
210 PetscCall(PetscOptionsScalar("-Pmax", "", "", ctx.Pmax, &ctx.Pmax, NULL));
211 ctx.Pm = PetscRealConstant(1.0194);
212 PetscCall(PetscOptionsScalar("-Pm", "", "", ctx.Pm, &ctx.Pm, NULL));
213 ctx.tf = PetscRealConstant(0.1);
214 ctx.tcl = PetscRealConstant(0.2);
215 PetscCall(PetscOptionsReal("-tf", "Time to start fault", "", ctx.tf, &ctx.tf, NULL));
216 PetscCall(PetscOptionsReal("-tcl", "Time to end fault", "", ctx.tcl, &ctx.tcl, NULL));
217 }
218 PetscOptionsEnd();
219
220 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
221 Create necessary matrix and vectors
222 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
223 PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
224 PetscCall(MatSetSizes(A, n, n, PETSC_DETERMINE, PETSC_DETERMINE));
225 PetscCall(MatSetType(A, MATDENSE));
226 PetscCall(MatSetFromOptions(A));
227 PetscCall(MatSetUp(A));
228
229 PetscCall(MatCreateVecs(A, &U, NULL));
230
231 PetscCall(MatCreate(PETSC_COMM_WORLD, &Jacp));
232 PetscCall(MatSetSizes(Jacp, PETSC_DECIDE, PETSC_DECIDE, 2, 1));
233 PetscCall(MatSetFromOptions(Jacp));
234 PetscCall(MatSetUp(Jacp));
235 PetscCall(MatCreateDense(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, 1, 1, NULL, &DRDP));
236 PetscCall(MatSetUp(DRDP));
237 PetscCall(MatCreateDense(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, 1, 2, NULL, &DRDU));
238 PetscCall(MatSetUp(DRDU));
239
240 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
241 Create timestepping solver context
242 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
243 PetscCall(TSCreate(PETSC_COMM_WORLD, &ctx.ts));
244 PetscCall(TSSetProblemType(ctx.ts, TS_NONLINEAR));
245 PetscCall(TSSetEquationType(ctx.ts, TS_EQ_ODE_EXPLICIT)); /* less Jacobian evaluations when adjoint BEuler is used, otherwise no effect */
246 PetscCall(TSSetType(ctx.ts, TSRK));
247 PetscCall(TSSetRHSFunction(ctx.ts, NULL, (TSRHSFunctionFn *)RHSFunction, &ctx));
248 PetscCall(TSSetRHSJacobian(ctx.ts, A, A, (TSRHSJacobianFn *)RHSJacobian, &ctx));
249 PetscCall(TSSetExactFinalTime(ctx.ts, TS_EXACTFINALTIME_MATCHSTEP));
250
251 PetscCall(MatCreateVecs(A, &lambda[0], NULL));
252 PetscCall(MatCreateVecs(Jacp, &mu[0], NULL));
253 PetscCall(TSSetCostGradients(ctx.ts, 1, lambda, mu));
254 PetscCall(TSSetRHSJacobianP(ctx.ts, Jacp, RHSJacobianP, &ctx));
255
256 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
257 Set solver options
258 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
259 PetscCall(TSSetMaxTime(ctx.ts, PetscRealConstant(1.0)));
260 PetscCall(TSSetTimeStep(ctx.ts, PetscRealConstant(0.01)));
261 PetscCall(TSSetFromOptions(ctx.ts));
262
263 PetscCall(TSGetTimeStep(ctx.ts, &ctx.dt)); /* save the stepsize */
264
265 PetscCall(TSCreateQuadratureTS(ctx.ts, PETSC_TRUE, &quadts));
266 PetscCall(TSSetRHSFunction(quadts, NULL, (TSRHSFunctionFn *)CostIntegrand, &ctx));
267 PetscCall(TSSetRHSJacobian(quadts, DRDU, DRDU, (TSRHSJacobianFn *)DRDUJacobianTranspose, &ctx));
268 PetscCall(TSSetRHSJacobianP(quadts, DRDP, (TSRHSJacobianPFn *)DRDPJacobianTranspose, &ctx));
269 PetscCall(TSSetSolution(ctx.ts, U));
270
271 /* Create TAO solver and set desired solution method */
272 PetscCall(TaoCreate(PETSC_COMM_WORLD, &tao));
273 PetscCall(TaoSetType(tao, TAOBLMVM));
274
275 /*
276 Optimization starts
277 */
278 /* Set initial solution guess */
279 PetscCall(VecCreateSeq(PETSC_COMM_WORLD, 1, &p));
280 PetscCall(VecGetArray(p, &x_ptr));
281 x_ptr[0] = ctx.Pm;
282 PetscCall(VecRestoreArray(p, &x_ptr));
283
284 PetscCall(TaoSetSolution(tao, p));
285 /* Set routine for function and gradient evaluation */
286 PetscCall(TaoSetObjective(tao, FormFunction, (void *)&ctx));
287 PetscCall(TaoSetGradient(tao, NULL, FormGradient, (void *)&ctx));
288
289 /* Set bounds for the optimization */
290 PetscCall(VecDuplicate(p, &lowerb));
291 PetscCall(VecDuplicate(p, &upperb));
292 PetscCall(VecGetArray(lowerb, &x_ptr));
293 x_ptr[0] = 0.;
294 PetscCall(VecRestoreArray(lowerb, &x_ptr));
295 PetscCall(VecGetArray(upperb, &x_ptr));
296 x_ptr[0] = PetscRealConstant(1.1);
297 PetscCall(VecRestoreArray(upperb, &x_ptr));
298 PetscCall(TaoSetVariableBounds(tao, lowerb, upperb));
299
300 /* Check for any TAO command line options */
301 PetscCall(TaoSetFromOptions(tao));
302 PetscCall(TaoGetKSP(tao, &ksp));
303 if (ksp) {
304 PetscCall(KSPGetPC(ksp, &pc));
305 PetscCall(PCSetType(pc, PCNONE));
306 }
307
308 /* SOLVE THE APPLICATION */
309 PetscCall(TaoSolve(tao));
310
311 PetscCall(VecView(p, PETSC_VIEWER_STDOUT_WORLD));
312 /* Free TAO data structures */
313 PetscCall(TaoDestroy(&tao));
314 PetscCall(VecDestroy(&p));
315 PetscCall(VecDestroy(&lowerb));
316 PetscCall(VecDestroy(&upperb));
317
318 PetscCall(TSDestroy(&ctx.ts));
319 PetscCall(VecDestroy(&U));
320 PetscCall(MatDestroy(&A));
321 PetscCall(MatDestroy(&Jacp));
322 PetscCall(MatDestroy(&DRDU));
323 PetscCall(MatDestroy(&DRDP));
324 PetscCall(VecDestroy(&lambda[0]));
325 PetscCall(VecDestroy(&mu[0]));
326 PetscCall(PetscFinalize());
327 return 0;
328 }
329
330 /* ------------------------------------------------------------------ */
331 /*
332 FormFunction - Evaluates the function
333
334 Input Parameters:
335 tao - the Tao context
336 X - the input vector
337 ptr - optional user-defined context, as set by TaoSetObjectiveAndGradient()
338
339 Output Parameters:
340 f - the newly evaluated function
341 */
FormFunction(Tao tao,Vec P,PetscReal * f,PetscCtx ctx0)342 PetscErrorCode FormFunction(Tao tao, Vec P, PetscReal *f, PetscCtx ctx0)
343 {
344 AppCtx *ctx = (AppCtx *)ctx0;
345 TS ts = ctx->ts;
346 Vec U; /* solution will be stored here */
347 PetscScalar *u;
348 PetscScalar *x_ptr;
349 Vec q;
350
351 PetscFunctionBeginUser;
352 PetscCall(VecGetArrayRead(P, (const PetscScalar **)&x_ptr));
353 ctx->Pm = x_ptr[0];
354 PetscCall(VecRestoreArrayRead(P, (const PetscScalar **)&x_ptr));
355
356 /* reset time */
357 PetscCall(TSSetTime(ts, 0.0));
358 /* reset step counter, this is critical for adjoint solver */
359 PetscCall(TSSetStepNumber(ts, 0));
360 /* reset step size, the step size becomes negative after TSAdjointSolve */
361 PetscCall(TSSetTimeStep(ts, ctx->dt));
362 /* reinitialize the integral value */
363 PetscCall(TSGetCostIntegral(ts, &q));
364 PetscCall(VecSet(q, 0.0));
365
366 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
367 Set initial conditions
368 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
369 PetscCall(TSGetSolution(ts, &U));
370 PetscCall(VecGetArray(U, &u));
371 u[0] = PetscAsinScalar(ctx->Pm / ctx->Pmax);
372 u[1] = PetscRealConstant(1.0);
373 PetscCall(VecRestoreArray(U, &u));
374
375 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
376 Solve nonlinear system
377 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
378 PetscCall(TSSolve(ts, U));
379 PetscCall(TSGetCostIntegral(ts, &q));
380 PetscCall(VecGetArray(q, &x_ptr));
381 *f = -ctx->Pm + x_ptr[0];
382 PetscCall(VecRestoreArray(q, &x_ptr));
383 PetscFunctionReturn(PETSC_SUCCESS);
384 }
385
FormGradient(Tao tao,Vec P,Vec G,PetscCtx ctx0)386 PetscErrorCode FormGradient(Tao tao, Vec P, Vec G, PetscCtx ctx0)
387 {
388 AppCtx *ctx = (AppCtx *)ctx0;
389 TS ts = ctx->ts;
390 Vec U; /* solution will be stored here */
391 PetscReal ftime;
392 PetscInt steps;
393 PetscScalar *u;
394 PetscScalar *x_ptr, *y_ptr;
395 Vec *lambda, q, *mu;
396
397 PetscFunctionBeginUser;
398 PetscCall(VecGetArrayRead(P, (const PetscScalar **)&x_ptr));
399 ctx->Pm = x_ptr[0];
400 PetscCall(VecRestoreArrayRead(P, (const PetscScalar **)&x_ptr));
401
402 /* reset time */
403 PetscCall(TSSetTime(ts, 0.0));
404 /* reset step counter, this is critical for adjoint solver */
405 PetscCall(TSSetStepNumber(ts, 0));
406 /* reset step size, the step size becomes negative after TSAdjointSolve */
407 PetscCall(TSSetTimeStep(ts, ctx->dt));
408 /* reinitialize the integral value */
409 PetscCall(TSGetCostIntegral(ts, &q));
410 PetscCall(VecSet(q, 0.0));
411
412 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
413 Set initial conditions
414 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
415 PetscCall(TSGetSolution(ts, &U));
416 PetscCall(VecGetArray(U, &u));
417 u[0] = PetscAsinScalar(ctx->Pm / ctx->Pmax);
418 u[1] = PetscRealConstant(1.0);
419 PetscCall(VecRestoreArray(U, &u));
420
421 /* Set up to save trajectory before TSSetFromOptions() so that TSTrajectory options can be captured */
422 PetscCall(TSSetSaveTrajectory(ts));
423 PetscCall(TSSetFromOptions(ts));
424
425 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
426 Solve nonlinear system
427 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
428 PetscCall(TSSolve(ts, U));
429
430 PetscCall(TSGetSolveTime(ts, &ftime));
431 PetscCall(TSGetStepNumber(ts, &steps));
432
433 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
434 Adjoint model starts here
435 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
436 PetscCall(TSGetCostGradients(ts, NULL, &lambda, &mu));
437 /* Set initial conditions for the adjoint integration */
438 PetscCall(VecGetArray(lambda[0], &y_ptr));
439 y_ptr[0] = 0.0;
440 y_ptr[1] = 0.0;
441 PetscCall(VecRestoreArray(lambda[0], &y_ptr));
442 PetscCall(VecGetArray(mu[0], &x_ptr));
443 x_ptr[0] = PetscRealConstant(-1.0);
444 PetscCall(VecRestoreArray(mu[0], &x_ptr));
445
446 PetscCall(TSAdjointSolve(ts));
447 PetscCall(TSGetCostIntegral(ts, &q));
448 PetscCall(ComputeSensiP(lambda[0], mu[0], ctx));
449 PetscCall(VecCopy(mu[0], G));
450 PetscFunctionReturn(PETSC_SUCCESS);
451 }
452
453 /*TEST
454
455 build:
456 requires: !complex !single
457
458 test:
459 args: -viewer_binary_skip_info -ts_adapt_type none -tao_monitor -tao_gatol 0.0 -tao_grtol 1.e-3 -tao_converged_reason
460
461 test:
462 suffix: 2
463 args: -viewer_binary_skip_info -ts_adapt_type none -tao_monitor -tao_gatol 0.0 -tao_grtol 1.e-3 -tao_converged_reason -tao_test_gradient
464
465 TEST*/
466