xref: /petsc/src/ts/tutorials/power_grid/ex9opt.c (revision 9371c9d470a9602b6d10a8bf50c9b2280a79e45a)
1 
2 static char help[] = "Basic equation for generator stability analysis.\n";
3 
4 /*F
5 
6 \begin{eqnarray}
7                  \frac{d \theta}{dt} = \omega_b (\omega - \omega_s)
8                  \frac{2 H}{\omega_s}\frac{d \omega}{dt} & = & P_m - P_max \sin(\theta) -D(\omega - \omega_s)\\
9 \end{eqnarray}
10 
11   Ensemble of initial conditions
12    ./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
13 
14   Fault at .1 seconds
15    ./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
16 
17   Initial conditions same as when fault is ended
18    ./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
19 
20 F*/
21 
22 /*
23    Include "petscts.h" so that we can use TS solvers.  Note that this
24    file automatically includes:
25      petscsys.h       - base PETSc routines   petscvec.h - vectors
26      petscmat.h - matrices
27      petscis.h     - index sets            petscksp.h - Krylov subspace methods
28      petscviewer.h - viewers               petscpc.h  - preconditioners
29      petscksp.h   - linear solvers
30 */
31 
32 #include <petsctao.h>
33 #include <petscts.h>
34 
35 typedef struct {
36   TS          ts;
37   PetscScalar H, D, omega_b, omega_s, Pmax, Pm, E, V, X, u_s, c;
38   PetscInt    beta;
39   PetscReal   tf, tcl, dt;
40 } AppCtx;
41 
42 PetscErrorCode FormFunction(Tao, Vec, PetscReal *, void *);
43 PetscErrorCode FormGradient(Tao, Vec, Vec, void *);
44 
45 /*
46      Defines the ODE passed to the ODE solver
47 */
48 static PetscErrorCode RHSFunction(TS ts, PetscReal t, Vec U, Vec F, AppCtx *ctx) {
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(0);
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 */
70 static PetscErrorCode RHSJacobian(TS ts, PetscReal t, Vec U, Mat A, Mat B, AppCtx *ctx) {
71   PetscInt           rowcol[] = {0, 1};
72   PetscScalar        J[2][2], Pmax;
73   const PetscScalar *u;
74 
75   PetscFunctionBegin;
76   PetscCall(VecGetArrayRead(U, &u));
77   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 */
78   else Pmax = ctx->Pmax;
79 
80   J[0][0] = 0;
81   J[0][1] = ctx->omega_b;
82   J[1][1] = -ctx->D * ctx->omega_s / (2.0 * ctx->H);
83   J[1][0] = -Pmax * PetscCosScalar(u[0]) * ctx->omega_s / (2.0 * ctx->H);
84 
85   PetscCall(MatSetValues(A, 2, rowcol, 2, rowcol, &J[0][0], INSERT_VALUES));
86   PetscCall(VecRestoreArrayRead(U, &u));
87 
88   PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
89   PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
90   if (A != B) {
91     PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
92     PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
93   }
94   PetscFunctionReturn(0);
95 }
96 
97 static PetscErrorCode RHSJacobianP(TS ts, PetscReal t, Vec X, Mat A, void *ctx0) {
98   PetscInt    row[] = {0, 1}, col[] = {0};
99   PetscScalar J[2][1];
100   AppCtx     *ctx = (AppCtx *)ctx0;
101 
102   PetscFunctionBeginUser;
103   J[0][0] = 0;
104   J[1][0] = ctx->omega_s / (2.0 * ctx->H);
105   PetscCall(MatSetValues(A, 2, row, 1, col, &J[0][0], INSERT_VALUES));
106   PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
107   PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
108   PetscFunctionReturn(0);
109 }
110 
111 static PetscErrorCode CostIntegrand(TS ts, PetscReal t, Vec U, Vec R, AppCtx *ctx) {
112   PetscScalar       *r;
113   const PetscScalar *u;
114 
115   PetscFunctionBegin;
116   PetscCall(VecGetArrayRead(U, &u));
117   PetscCall(VecGetArray(R, &r));
118   r[0] = ctx->c * PetscPowScalarInt(PetscMax(0., u[0] - ctx->u_s), ctx->beta);
119   PetscCall(VecRestoreArray(R, &r));
120   PetscCall(VecRestoreArrayRead(U, &u));
121   PetscFunctionReturn(0);
122 }
123 
124 static PetscErrorCode DRDUJacobianTranspose(TS ts, PetscReal t, Vec U, Mat DRDU, Mat B, AppCtx *ctx) {
125   PetscScalar        ru[1];
126   const PetscScalar *u;
127   PetscInt           row[] = {0}, col[] = {0};
128 
129   PetscFunctionBegin;
130   PetscCall(VecGetArrayRead(U, &u));
131   ru[0] = ctx->c * ctx->beta * PetscPowScalarInt(PetscMax(0., u[0] - ctx->u_s), ctx->beta - 1);
132   PetscCall(VecRestoreArrayRead(U, &u));
133   PetscCall(MatSetValues(DRDU, 1, row, 1, col, ru, INSERT_VALUES));
134   PetscCall(MatAssemblyBegin(DRDU, MAT_FINAL_ASSEMBLY));
135   PetscCall(MatAssemblyEnd(DRDU, MAT_FINAL_ASSEMBLY));
136   PetscFunctionReturn(0);
137 }
138 
139 static PetscErrorCode DRDPJacobianTranspose(TS ts, PetscReal t, Vec U, Mat DRDP, AppCtx *ctx) {
140   PetscFunctionBegin;
141   PetscCall(MatZeroEntries(DRDP));
142   PetscCall(MatAssemblyBegin(DRDP, MAT_FINAL_ASSEMBLY));
143   PetscCall(MatAssemblyEnd(DRDP, MAT_FINAL_ASSEMBLY));
144   PetscFunctionReturn(0);
145 }
146 
147 PetscErrorCode ComputeSensiP(Vec lambda, Vec mu, AppCtx *ctx) {
148   PetscScalar       *y, sensip;
149   const PetscScalar *x;
150 
151   PetscFunctionBegin;
152   PetscCall(VecGetArrayRead(lambda, &x));
153   PetscCall(VecGetArray(mu, &y));
154   sensip = 1. / PetscSqrtScalar(1. - (ctx->Pm / ctx->Pmax) * (ctx->Pm / ctx->Pmax)) / ctx->Pmax * x[0] + y[0];
155   y[0]   = sensip;
156   PetscCall(VecRestoreArray(mu, &y));
157   PetscCall(VecRestoreArrayRead(lambda, &x));
158   PetscFunctionReturn(0);
159 }
160 
161 int main(int argc, char **argv) {
162   Vec          p;
163   PetscScalar *x_ptr;
164   PetscMPIInt  size;
165   AppCtx       ctx;
166   Vec          lowerb, upperb;
167   Tao          tao;
168   KSP          ksp;
169   PC           pc;
170   Vec          U, lambda[1], mu[1];
171   Mat          A;    /* Jacobian matrix */
172   Mat          Jacp; /* Jacobian matrix */
173   Mat          DRDU, DRDP;
174   PetscInt     n = 2;
175   TS           quadts;
176 
177   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
178      Initialize program
179      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
180   PetscFunctionBeginUser;
181   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
182   PetscFunctionBeginUser;
183   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
184   PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only!");
185 
186   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
187     Set runtime options
188     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
189   PetscOptionsBegin(PETSC_COMM_WORLD, NULL, "Swing equation options", "");
190   {
191     ctx.beta    = 2;
192     ctx.c       = PetscRealConstant(10000.0);
193     ctx.u_s     = PetscRealConstant(1.0);
194     ctx.omega_s = PetscRealConstant(1.0);
195     ctx.omega_b = PetscRealConstant(120.0) * PETSC_PI;
196     ctx.H       = PetscRealConstant(5.0);
197     PetscCall(PetscOptionsScalar("-Inertia", "", "", ctx.H, &ctx.H, NULL));
198     ctx.D = PetscRealConstant(5.0);
199     PetscCall(PetscOptionsScalar("-D", "", "", ctx.D, &ctx.D, NULL));
200     ctx.E    = PetscRealConstant(1.1378);
201     ctx.V    = PetscRealConstant(1.0);
202     ctx.X    = PetscRealConstant(0.545);
203     ctx.Pmax = ctx.E * ctx.V / ctx.X;
204     PetscCall(PetscOptionsScalar("-Pmax", "", "", ctx.Pmax, &ctx.Pmax, NULL));
205     ctx.Pm = PetscRealConstant(1.0194);
206     PetscCall(PetscOptionsScalar("-Pm", "", "", ctx.Pm, &ctx.Pm, NULL));
207     ctx.tf  = PetscRealConstant(0.1);
208     ctx.tcl = PetscRealConstant(0.2);
209     PetscCall(PetscOptionsReal("-tf", "Time to start fault", "", ctx.tf, &ctx.tf, NULL));
210     PetscCall(PetscOptionsReal("-tcl", "Time to end fault", "", ctx.tcl, &ctx.tcl, NULL));
211   }
212   PetscOptionsEnd();
213 
214   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
215     Create necessary matrix and vectors
216     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
217   PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
218   PetscCall(MatSetSizes(A, n, n, PETSC_DETERMINE, PETSC_DETERMINE));
219   PetscCall(MatSetType(A, MATDENSE));
220   PetscCall(MatSetFromOptions(A));
221   PetscCall(MatSetUp(A));
222 
223   PetscCall(MatCreateVecs(A, &U, NULL));
224 
225   PetscCall(MatCreate(PETSC_COMM_WORLD, &Jacp));
226   PetscCall(MatSetSizes(Jacp, PETSC_DECIDE, PETSC_DECIDE, 2, 1));
227   PetscCall(MatSetFromOptions(Jacp));
228   PetscCall(MatSetUp(Jacp));
229   PetscCall(MatCreateDense(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, 1, 1, NULL, &DRDP));
230   PetscCall(MatSetUp(DRDP));
231   PetscCall(MatCreateDense(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, 1, 2, NULL, &DRDU));
232   PetscCall(MatSetUp(DRDU));
233 
234   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
235      Create timestepping solver context
236      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
237   PetscCall(TSCreate(PETSC_COMM_WORLD, &ctx.ts));
238   PetscCall(TSSetProblemType(ctx.ts, TS_NONLINEAR));
239   PetscCall(TSSetEquationType(ctx.ts, TS_EQ_ODE_EXPLICIT)); /* less Jacobian evaluations when adjoint BEuler is used, otherwise no effect */
240   PetscCall(TSSetType(ctx.ts, TSRK));
241   PetscCall(TSSetRHSFunction(ctx.ts, NULL, (TSRHSFunction)RHSFunction, &ctx));
242   PetscCall(TSSetRHSJacobian(ctx.ts, A, A, (TSRHSJacobian)RHSJacobian, &ctx));
243   PetscCall(TSSetExactFinalTime(ctx.ts, TS_EXACTFINALTIME_MATCHSTEP));
244 
245   PetscCall(MatCreateVecs(A, &lambda[0], NULL));
246   PetscCall(MatCreateVecs(Jacp, &mu[0], NULL));
247   PetscCall(TSSetCostGradients(ctx.ts, 1, lambda, mu));
248   PetscCall(TSSetRHSJacobianP(ctx.ts, Jacp, RHSJacobianP, &ctx));
249 
250   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
251      Set solver options
252    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
253   PetscCall(TSSetMaxTime(ctx.ts, PetscRealConstant(1.0)));
254   PetscCall(TSSetTimeStep(ctx.ts, PetscRealConstant(0.01)));
255   PetscCall(TSSetFromOptions(ctx.ts));
256 
257   PetscCall(TSGetTimeStep(ctx.ts, &ctx.dt)); /* save the stepsize */
258 
259   PetscCall(TSCreateQuadratureTS(ctx.ts, PETSC_TRUE, &quadts));
260   PetscCall(TSSetRHSFunction(quadts, NULL, (TSRHSFunction)CostIntegrand, &ctx));
261   PetscCall(TSSetRHSJacobian(quadts, DRDU, DRDU, (TSRHSJacobian)DRDUJacobianTranspose, &ctx));
262   PetscCall(TSSetRHSJacobianP(quadts, DRDP, (TSRHSJacobianP)DRDPJacobianTranspose, &ctx));
263   PetscCall(TSSetSolution(ctx.ts, U));
264 
265   /* Create TAO solver and set desired solution method */
266   PetscCall(TaoCreate(PETSC_COMM_WORLD, &tao));
267   PetscCall(TaoSetType(tao, TAOBLMVM));
268 
269   /*
270      Optimization starts
271   */
272   /* Set initial solution guess */
273   PetscCall(VecCreateSeq(PETSC_COMM_WORLD, 1, &p));
274   PetscCall(VecGetArray(p, &x_ptr));
275   x_ptr[0] = ctx.Pm;
276   PetscCall(VecRestoreArray(p, &x_ptr));
277 
278   PetscCall(TaoSetSolution(tao, p));
279   /* Set routine for function and gradient evaluation */
280   PetscCall(TaoSetObjective(tao, FormFunction, (void *)&ctx));
281   PetscCall(TaoSetGradient(tao, NULL, FormGradient, (void *)&ctx));
282 
283   /* Set bounds for the optimization */
284   PetscCall(VecDuplicate(p, &lowerb));
285   PetscCall(VecDuplicate(p, &upperb));
286   PetscCall(VecGetArray(lowerb, &x_ptr));
287   x_ptr[0] = 0.;
288   PetscCall(VecRestoreArray(lowerb, &x_ptr));
289   PetscCall(VecGetArray(upperb, &x_ptr));
290   x_ptr[0] = PetscRealConstant(1.1);
291   PetscCall(VecRestoreArray(upperb, &x_ptr));
292   PetscCall(TaoSetVariableBounds(tao, lowerb, upperb));
293 
294   /* Check for any TAO command line options */
295   PetscCall(TaoSetFromOptions(tao));
296   PetscCall(TaoGetKSP(tao, &ksp));
297   if (ksp) {
298     PetscCall(KSPGetPC(ksp, &pc));
299     PetscCall(PCSetType(pc, PCNONE));
300   }
301 
302   /* SOLVE THE APPLICATION */
303   PetscCall(TaoSolve(tao));
304 
305   PetscCall(VecView(p, PETSC_VIEWER_STDOUT_WORLD));
306   /* Free TAO data structures */
307   PetscCall(TaoDestroy(&tao));
308   PetscCall(VecDestroy(&p));
309   PetscCall(VecDestroy(&lowerb));
310   PetscCall(VecDestroy(&upperb));
311 
312   PetscCall(TSDestroy(&ctx.ts));
313   PetscCall(VecDestroy(&U));
314   PetscCall(MatDestroy(&A));
315   PetscCall(MatDestroy(&Jacp));
316   PetscCall(MatDestroy(&DRDU));
317   PetscCall(MatDestroy(&DRDP));
318   PetscCall(VecDestroy(&lambda[0]));
319   PetscCall(VecDestroy(&mu[0]));
320   PetscCall(PetscFinalize());
321   return 0;
322 }
323 
324 /* ------------------------------------------------------------------ */
325 /*
326    FormFunction - Evaluates the function
327 
328    Input Parameters:
329    tao - the Tao context
330    X   - the input vector
331    ptr - optional user-defined context, as set by TaoSetObjectiveAndGradient()
332 
333    Output Parameters:
334    f   - the newly evaluated function
335 */
336 PetscErrorCode FormFunction(Tao tao, Vec P, PetscReal *f, void *ctx0) {
337   AppCtx      *ctx = (AppCtx *)ctx0;
338   TS           ts  = ctx->ts;
339   Vec          U; /* solution will be stored here */
340   PetscScalar *u;
341   PetscScalar *x_ptr;
342   Vec          q;
343 
344   PetscCall(VecGetArrayRead(P, (const PetscScalar **)&x_ptr));
345   ctx->Pm = x_ptr[0];
346   PetscCall(VecRestoreArrayRead(P, (const PetscScalar **)&x_ptr));
347 
348   /* reset time */
349   PetscCall(TSSetTime(ts, 0.0));
350   /* reset step counter, this is critical for adjoint solver */
351   PetscCall(TSSetStepNumber(ts, 0));
352   /* reset step size, the step size becomes negative after TSAdjointSolve */
353   PetscCall(TSSetTimeStep(ts, ctx->dt));
354   /* reinitialize the integral value */
355   PetscCall(TSGetCostIntegral(ts, &q));
356   PetscCall(VecSet(q, 0.0));
357 
358   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
359      Set initial conditions
360    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
361   PetscCall(TSGetSolution(ts, &U));
362   PetscCall(VecGetArray(U, &u));
363   u[0] = PetscAsinScalar(ctx->Pm / ctx->Pmax);
364   u[1] = PetscRealConstant(1.0);
365   PetscCall(VecRestoreArray(U, &u));
366 
367   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
368      Solve nonlinear system
369      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
370   PetscCall(TSSolve(ts, U));
371   PetscCall(TSGetCostIntegral(ts, &q));
372   PetscCall(VecGetArray(q, &x_ptr));
373   *f = -ctx->Pm + x_ptr[0];
374   PetscCall(VecRestoreArray(q, &x_ptr));
375   return 0;
376 }
377 
378 PetscErrorCode FormGradient(Tao tao, Vec P, Vec G, void *ctx0) {
379   AppCtx      *ctx = (AppCtx *)ctx0;
380   TS           ts  = ctx->ts;
381   Vec          U; /* solution will be stored here */
382   PetscReal    ftime;
383   PetscInt     steps;
384   PetscScalar *u;
385   PetscScalar *x_ptr, *y_ptr;
386   Vec         *lambda, q, *mu;
387 
388   PetscCall(VecGetArrayRead(P, (const PetscScalar **)&x_ptr));
389   ctx->Pm = x_ptr[0];
390   PetscCall(VecRestoreArrayRead(P, (const PetscScalar **)&x_ptr));
391 
392   /* reset time */
393   PetscCall(TSSetTime(ts, 0.0));
394   /* reset step counter, this is critical for adjoint solver */
395   PetscCall(TSSetStepNumber(ts, 0));
396   /* reset step size, the step size becomes negative after TSAdjointSolve */
397   PetscCall(TSSetTimeStep(ts, ctx->dt));
398   /* reinitialize the integral value */
399   PetscCall(TSGetCostIntegral(ts, &q));
400   PetscCall(VecSet(q, 0.0));
401 
402   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
403      Set initial conditions
404    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
405   PetscCall(TSGetSolution(ts, &U));
406   PetscCall(VecGetArray(U, &u));
407   u[0] = PetscAsinScalar(ctx->Pm / ctx->Pmax);
408   u[1] = PetscRealConstant(1.0);
409   PetscCall(VecRestoreArray(U, &u));
410 
411   /* Set up to save trajectory before TSSetFromOptions() so that TSTrajectory options can be captured */
412   PetscCall(TSSetSaveTrajectory(ts));
413   PetscCall(TSSetFromOptions(ts));
414 
415   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
416      Solve nonlinear system
417      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
418   PetscCall(TSSolve(ts, U));
419 
420   PetscCall(TSGetSolveTime(ts, &ftime));
421   PetscCall(TSGetStepNumber(ts, &steps));
422 
423   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
424      Adjoint model starts here
425      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
426   PetscCall(TSGetCostGradients(ts, NULL, &lambda, &mu));
427   /*   Set initial conditions for the adjoint integration */
428   PetscCall(VecGetArray(lambda[0], &y_ptr));
429   y_ptr[0] = 0.0;
430   y_ptr[1] = 0.0;
431   PetscCall(VecRestoreArray(lambda[0], &y_ptr));
432   PetscCall(VecGetArray(mu[0], &x_ptr));
433   x_ptr[0] = PetscRealConstant(-1.0);
434   PetscCall(VecRestoreArray(mu[0], &x_ptr));
435 
436   PetscCall(TSAdjointSolve(ts));
437   PetscCall(TSGetCostIntegral(ts, &q));
438   PetscCall(ComputeSensiP(lambda[0], mu[0], ctx));
439   PetscCall(VecCopy(mu[0], G));
440   return 0;
441 }
442 
443 /*TEST
444 
445    build:
446       requires: !complex
447 
448    test:
449       args: -viewer_binary_skip_info -ts_adapt_type none -tao_monitor -tao_gatol 0.0 -tao_grtol 1.e-3 -tao_converged_reason
450 
451    test:
452       suffix: 2
453       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
454 
455 TEST*/
456