Actual source code: ex1.c
1: /* Program usage: mpiexec -n 2 ./ex1 [-help] [all TAO options] */
3: /* ----------------------------------------------------------------------
4: min f(x) = (x0 - 2)^2 + (x1 - 2)^2 - 2*(x0 + x1)
5: s.t. x0^2 + x1 - 2 = 0
6: 0 <= x0^2 - x1 <= 1
7: -1 <= x0, x1 <= 2
8: -->
9: g(x) = 0
10: h(x) >= 0
11: -1 <= x0, x1 <= 2
12: where
13: g(x) = x0^2 + x1 - 2
14: h(x) = [x0^2 - x1
15: 1 -(x0^2 - x1)]
16: ---------------------------------------------------------------------- */
18: #include <petsctao.h>
20: static char help[] = "Solves constrained optimization problem using pdipm.\n\
21: Input parameters include:\n\
22: -tao_type pdipm : sets Tao solver\n\
23: -no_eq : removes the equaility constraints from the problem\n\
24: -no_bound : removes the bound constraints from the problem\n\
25: -init_view : view initial object setup\n\
26: -snes_fd : snes with finite difference Jacobian (needed for pdipm)\n\
27: -snes_compare_explicit : compare user Jacobian with finite difference Jacobian \n\
28: -tao_monitor_constraint_norm : convergence monitor with constraint norm \n\
29: -tao_monitor_solution : view exact solution at each iteration\n\
30: Note: external package MUMPS is required to run pdipm in parallel. This is designed for a maximum of 2 processors, the code will error if size > 2.\n";
32: /*
33: User-defined application context - contains data needed by the application
34: */
35: typedef struct {
36: PetscInt n; /* Global length of x */
37: PetscInt ne; /* Global number of equality constraints */
38: PetscInt ni; /* Global number of inequality constraints */
39: PetscBool noeqflag, noboundflag, initview;
40: Vec x, xl, xu;
41: Vec ce, ci, bl, bu, Xseq;
42: Mat Ae, Ai, H;
43: VecScatter scat;
44: } AppCtx;
46: /* -------- User-defined Routines --------- */
47: PetscErrorCode InitializeProblem(AppCtx *);
48: PetscErrorCode DestroyProblem(AppCtx *);
49: PetscErrorCode FormFunctionGradient(Tao, Vec, PetscReal *, Vec, void *);
50: PetscErrorCode FormPDIPMHessian(Tao, Vec, Mat, Mat, void *);
51: PetscErrorCode FormInequalityConstraints(Tao, Vec, Vec, void *);
52: PetscErrorCode FormEqualityConstraints(Tao, Vec, Vec, void *);
53: PetscErrorCode FormInequalityJacobian(Tao, Vec, Mat, Mat, void *);
54: PetscErrorCode FormEqualityJacobian(Tao, Vec, Mat, Mat, void *);
56: int main(int argc, char **argv)
57: {
58: Tao tao;
59: KSP ksp;
60: PC pc;
61: AppCtx user; /* application context */
62: Vec x, G, CI, CE;
63: PetscMPIInt size;
64: PetscReal f;
65: PetscBool pdipm;
67: PetscFunctionBeginUser;
68: PetscCall(PetscInitialize(&argc, &argv, NULL, help));
69: PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
70: PetscCheck(size <= 2, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "More than 2 processes detected. Example written to use at most 2 processes.");
72: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "---- Constrained Problem -----\n"));
73: PetscCall(InitializeProblem(&user)); /* sets up problem, function below */
75: PetscCall(TaoCreate(PETSC_COMM_WORLD, &tao));
76: PetscCall(TaoSetType(tao, TAOALMM));
77: PetscCall(TaoSetSolution(tao, user.x));
78: if (!user.noboundflag) PetscCall(TaoSetVariableBounds(tao, user.xl, user.xu));
79: PetscCall(TaoSetObjectiveAndGradient(tao, NULL, FormFunctionGradient, (void *)&user));
80: PetscCall(TaoSetTolerances(tao, 1.e-4, 0.0, 0.0));
81: PetscCall(TaoSetConstraintTolerances(tao, 1.e-4, 0.0));
82: PetscCall(TaoSetMaximumFunctionEvaluations(tao, 1e6));
83: PetscCall(TaoSetFromOptions(tao));
85: if (!user.noeqflag) {
86: PetscCall(TaoSetEqualityConstraintsRoutine(tao, user.ce, FormEqualityConstraints, (void *)&user));
87: PetscCall(TaoSetJacobianEqualityRoutine(tao, user.Ae, user.Ae, FormEqualityJacobian, (void *)&user));
88: }
89: PetscCall(TaoSetInequalityConstraintsRoutine(tao, user.ci, FormInequalityConstraints, (void *)&user));
90: PetscCall(TaoSetJacobianInequalityRoutine(tao, user.Ai, user.Ai, FormInequalityJacobian, (void *)&user));
92: PetscCall(PetscObjectTypeCompare((PetscObject)tao, TAOPDIPM, &pdipm));
93: if (pdipm) {
94: /*
95: PDIPM produces an indefinite KKT matrix with some zeros along the diagonal
96: Inverting this indefinite matrix requires PETSc to be configured with MUMPS
97: */
98: PetscCheck(PetscDefined(HAVE_MUMPS), PetscObjectComm((PetscObject)tao), PETSC_ERR_SUP, "TAOPDIPM requires PETSc to be configured with MUMPS (--download-mumps)");
99: PetscCall(TaoGetKSP(tao, &ksp));
100: PetscCall(KSPGetPC(ksp, &pc));
101: PetscCall(PCFactorSetMatSolverType(pc, MATSOLVERMUMPS));
102: PetscCall(KSPSetType(ksp, KSPPREONLY));
103: PetscCall(PCSetType(pc, PCCHOLESKY));
104: PetscCall(KSPSetFromOptions(ksp));
105: PetscCall(TaoSetHessian(tao, user.H, user.H, FormPDIPMHessian, (void *)&user));
106: }
108: /* Print out an initial view of the problem */
109: if (user.initview) {
110: PetscCall(TaoSetUp(tao));
111: PetscCall(VecDuplicate(user.x, &G));
112: PetscCall(FormFunctionGradient(tao, user.x, &f, G, (void *)&user));
113: if (pdipm) PetscCall(FormPDIPMHessian(tao, user.x, user.H, user.H, (void *)&user));
114: PetscCall(PetscViewerASCIIPushTab(PETSC_VIEWER_STDOUT_WORLD));
115: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\nInitial point X:\n"));
116: PetscCall(VecView(user.x, PETSC_VIEWER_STDOUT_WORLD));
117: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\nInitial objective f(x) = %g\n", (double)f));
118: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\nInitial gradient and Hessian:\n"));
119: PetscCall(VecView(G, PETSC_VIEWER_STDOUT_WORLD));
120: if (pdipm) PetscCall(MatView(user.H, PETSC_VIEWER_STDOUT_WORLD));
121: PetscCall(VecDestroy(&G));
122: PetscCall(FormInequalityJacobian(tao, user.x, user.Ai, user.Ai, (void *)&user));
123: PetscCall(MatCreateVecs(user.Ai, NULL, &CI));
124: PetscCall(FormInequalityConstraints(tao, user.x, CI, (void *)&user));
125: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\nInitial inequality constraints and Jacobian:\n"));
126: PetscCall(VecView(CI, PETSC_VIEWER_STDOUT_WORLD));
127: PetscCall(MatView(user.Ai, PETSC_VIEWER_STDOUT_WORLD));
128: PetscCall(VecDestroy(&CI));
129: if (!user.noeqflag) {
130: PetscCall(FormEqualityJacobian(tao, user.x, user.Ae, user.Ae, (void *)&user));
131: PetscCall(MatCreateVecs(user.Ae, NULL, &CE));
132: PetscCall(FormEqualityConstraints(tao, user.x, CE, (void *)&user));
133: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\nInitial equality constraints and Jacobian:\n"));
134: PetscCall(VecView(CE, PETSC_VIEWER_STDOUT_WORLD));
135: PetscCall(MatView(user.Ae, PETSC_VIEWER_STDOUT_WORLD));
136: PetscCall(VecDestroy(&CE));
137: }
138: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\n"));
139: PetscCall(PetscViewerASCIIPopTab(PETSC_VIEWER_STDOUT_WORLD));
140: }
142: PetscCall(TaoSolve(tao));
143: PetscCall(TaoGetSolution(tao, &x));
144: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Found solution:\n"));
145: PetscCall(VecView(x, PETSC_VIEWER_STDOUT_WORLD));
147: /* Free objects */
148: PetscCall(DestroyProblem(&user));
149: PetscCall(TaoDestroy(&tao));
150: PetscCall(PetscFinalize());
151: return PETSC_SUCCESS;
152: }
154: PetscErrorCode InitializeProblem(AppCtx *user)
155: {
156: PetscMPIInt size;
157: PetscMPIInt rank;
158: PetscInt nloc, neloc, niloc;
160: PetscFunctionBegin;
161: PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
162: PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
163: user->noeqflag = PETSC_FALSE;
164: user->noboundflag = PETSC_FALSE;
165: PetscCall(PetscOptionsGetBool(NULL, NULL, "-no_eq", &user->noeqflag, NULL));
166: PetscCall(PetscOptionsGetBool(NULL, NULL, "-no_bound", &user->noboundflag, NULL));
167: user->initview = PETSC_FALSE;
168: PetscCall(PetscOptionsGetBool(NULL, NULL, "-init_view", &user->initview, NULL));
170: /* Tell user the correct solution, not an error checking */
171: if (!user->noeqflag) {
172: /* With equality constraint, bound or no bound makes no different to the solution */
173: PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Expected solution: f(1, 1) = -2\n"));
174: } else {
175: if (user->noboundflag) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Expected solution (-no_eq, -no_bound): f(2.05655, 3.22938) = -9.05728\n"));
176: else PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Expected solution (-no_eq): f(1.73205, 2) = -7.3923\n"));
177: }
179: /* create vector x and set initial values */
180: user->n = 2; /* global length */
181: nloc = (size == 1) ? user->n : 1;
182: PetscCall(VecCreate(PETSC_COMM_WORLD, &user->x));
183: PetscCall(VecSetSizes(user->x, nloc, user->n));
184: PetscCall(VecSetFromOptions(user->x));
186: /* create and set lower and upper bound vectors */
187: PetscCall(VecDuplicate(user->x, &user->xl));
188: PetscCall(VecDuplicate(user->x, &user->xu));
189: PetscCall(VecSet(user->xl, -1.0));
190: PetscCall(VecSet(user->xu, 2.0));
192: /* create scater to zero */
193: PetscCall(VecScatterCreateToZero(user->x, &user->scat, &user->Xseq));
195: user->ne = 1;
196: user->ni = 2;
197: neloc = (rank == 0) ? user->ne : 0;
198: niloc = (size == 1) ? user->ni : 1;
200: if (!user->noeqflag) {
201: PetscCall(VecCreate(PETSC_COMM_WORLD, &user->ce)); /* a 1x1 vec for equality constraints */
202: PetscCall(VecSetSizes(user->ce, neloc, user->ne));
203: PetscCall(VecSetFromOptions(user->ce));
204: PetscCall(VecSetUp(user->ce));
205: }
207: PetscCall(VecCreate(PETSC_COMM_WORLD, &user->ci)); /* a 2x1 vec for inequality constraints */
208: PetscCall(VecSetSizes(user->ci, niloc, user->ni));
209: PetscCall(VecSetFromOptions(user->ci));
210: PetscCall(VecSetUp(user->ci));
212: /* nexn & nixn matrices for equally and inequalty constraints */
213: if (!user->noeqflag) {
214: PetscCall(MatCreate(PETSC_COMM_WORLD, &user->Ae));
215: PetscCall(MatSetSizes(user->Ae, neloc, nloc, user->ne, user->n));
216: PetscCall(MatSetFromOptions(user->Ae));
217: PetscCall(MatSetUp(user->Ae));
218: }
220: PetscCall(MatCreate(PETSC_COMM_WORLD, &user->Ai));
221: PetscCall(MatSetSizes(user->Ai, niloc, nloc, user->ni, user->n));
222: PetscCall(MatSetFromOptions(user->Ai));
223: PetscCall(MatSetUp(user->Ai));
225: PetscCall(MatCreate(PETSC_COMM_WORLD, &user->H));
226: PetscCall(MatSetSizes(user->H, nloc, nloc, user->n, user->n));
227: PetscCall(MatSetFromOptions(user->H));
228: PetscCall(MatSetUp(user->H));
229: PetscFunctionReturn(PETSC_SUCCESS);
230: }
232: PetscErrorCode DestroyProblem(AppCtx *user)
233: {
234: PetscFunctionBegin;
235: if (!user->noeqflag) PetscCall(MatDestroy(&user->Ae));
236: PetscCall(MatDestroy(&user->Ai));
237: PetscCall(MatDestroy(&user->H));
239: PetscCall(VecDestroy(&user->x));
240: if (!user->noeqflag) PetscCall(VecDestroy(&user->ce));
241: PetscCall(VecDestroy(&user->ci));
242: PetscCall(VecDestroy(&user->xl));
243: PetscCall(VecDestroy(&user->xu));
244: PetscCall(VecDestroy(&user->Xseq));
245: PetscCall(VecScatterDestroy(&user->scat));
246: PetscFunctionReturn(PETSC_SUCCESS);
247: }
249: /* Evaluate
250: f(x) = (x0 - 2)^2 + (x1 - 2)^2 - 2*(x0 + x1)
251: G = grad f = [2*(x0 - 2) - 2, 2*(x1 - 2) - 2] = 2*X - 6
252: */
253: PetscErrorCode FormFunctionGradient(Tao tao, Vec X, PetscReal *f, Vec G, PetscCtx ctx)
254: {
255: const PetscScalar *x;
256: MPI_Comm comm;
257: PetscMPIInt rank;
258: PetscReal fin;
259: AppCtx *user = (AppCtx *)ctx;
260: Vec Xseq = user->Xseq;
261: VecScatter scat = user->scat;
263: PetscFunctionBegin;
264: /* f = (x0 - 2)^2 + (x1 - 2)^2 - 2*(x0 + x1) */
265: PetscCall(PetscObjectGetComm((PetscObject)tao, &comm));
266: PetscCallMPI(MPI_Comm_rank(comm, &rank));
268: PetscCall(VecScatterBegin(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
269: PetscCall(VecScatterEnd(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
271: fin = 0.0;
272: if (rank == 0) {
273: PetscCall(VecGetArrayRead(Xseq, &x));
274: fin = (x[0] - 2.0) * (x[0] - 2.0) + (x[1] - 2.0) * (x[1] - 2.0) - 2.0 * (x[0] + x[1]);
275: PetscCall(VecRestoreArrayRead(Xseq, &x));
276: }
277: PetscCallMPI(MPIU_Allreduce(&fin, f, 1, MPIU_REAL, MPIU_SUM, comm));
279: /* G = 2*X - 6 */
280: PetscCall(VecSet(G, -6.0));
281: PetscCall(VecAXPY(G, 2.0, X));
282: PetscFunctionReturn(PETSC_SUCCESS);
283: }
285: /* Evaluate PDIPM Hessian, see Eqn(22) in http://doi.org/10.1049/gtd2.12708
286: H = Wxx = fxx + Jacobian(grad g^T*DE) - Jacobian(grad h^T*DI)]
287: = fxx + Jacobin([2*x0; 1]de[0]) - Jacobian([2*x0, -2*x0; -1, 1][di[0] di[1]]^T)
288: = [2 0; 0 2] + [2*de[0] 0; 0 0] - [2*di[0]-2*di[1], 0; 0, 0]
289: = [ 2*(1+de[0]-di[0]+di[1]), 0;
290: 0, 2]
291: */
292: PetscErrorCode FormPDIPMHessian(Tao tao, Vec x, Mat H, Mat Hpre, PetscCtx ctx)
293: {
294: AppCtx *user = (AppCtx *)ctx;
295: Vec DE, DI;
296: const PetscScalar *de, *di;
297: PetscInt zero = 0, one = 1;
298: PetscScalar two = 2.0;
299: PetscScalar val = 0.0;
300: Vec Deseq, Diseq;
301: VecScatter Descat, Discat;
302: PetscMPIInt rank;
303: MPI_Comm comm;
305: PetscFunctionBegin;
306: PetscCall(TaoGetDualVariables(tao, &DE, &DI));
308: PetscCall(PetscObjectGetComm((PetscObject)tao, &comm));
309: PetscCallMPI(MPI_Comm_rank(comm, &rank));
311: if (!user->noeqflag) {
312: PetscCall(VecScatterCreateToZero(DE, &Descat, &Deseq));
313: PetscCall(VecScatterBegin(Descat, DE, Deseq, INSERT_VALUES, SCATTER_FORWARD));
314: PetscCall(VecScatterEnd(Descat, DE, Deseq, INSERT_VALUES, SCATTER_FORWARD));
315: }
316: PetscCall(VecScatterCreateToZero(DI, &Discat, &Diseq));
317: PetscCall(VecScatterBegin(Discat, DI, Diseq, INSERT_VALUES, SCATTER_FORWARD));
318: PetscCall(VecScatterEnd(Discat, DI, Diseq, INSERT_VALUES, SCATTER_FORWARD));
320: if (rank == 0) {
321: if (!user->noeqflag) PetscCall(VecGetArrayRead(Deseq, &de)); /* places equality constraint dual into array */
322: PetscCall(VecGetArrayRead(Diseq, &di)); /* places inequality constraint dual into array */
324: if (!user->noeqflag) {
325: val = 2.0 * (1 + de[0] - di[0] + di[1]);
326: PetscCall(VecRestoreArrayRead(Deseq, &de));
327: PetscCall(VecRestoreArrayRead(Diseq, &di));
328: } else {
329: val = 2.0 * (1 - di[0] + di[1]);
330: }
331: PetscCall(VecRestoreArrayRead(Diseq, &di));
332: PetscCall(MatSetValues(H, 1, &zero, 1, &zero, &val, INSERT_VALUES));
333: PetscCall(MatSetValues(H, 1, &one, 1, &one, &two, INSERT_VALUES));
334: }
335: PetscCall(MatAssemblyBegin(H, MAT_FINAL_ASSEMBLY));
336: PetscCall(MatAssemblyEnd(H, MAT_FINAL_ASSEMBLY));
337: if (!user->noeqflag) {
338: PetscCall(VecScatterDestroy(&Descat));
339: PetscCall(VecDestroy(&Deseq));
340: }
341: PetscCall(VecScatterDestroy(&Discat));
342: PetscCall(VecDestroy(&Diseq));
343: PetscFunctionReturn(PETSC_SUCCESS);
344: }
346: /* Evaluate
347: h = [ x0^2 - x1;
348: 1 -(x0^2 - x1)]
349: */
350: PetscErrorCode FormInequalityConstraints(Tao tao, Vec X, Vec CI, PetscCtx ctx)
351: {
352: const PetscScalar *x;
353: PetscScalar ci;
354: MPI_Comm comm;
355: PetscMPIInt rank;
356: AppCtx *user = (AppCtx *)ctx;
357: Vec Xseq = user->Xseq;
358: VecScatter scat = user->scat;
360: PetscFunctionBegin;
361: PetscCall(PetscObjectGetComm((PetscObject)tao, &comm));
362: PetscCallMPI(MPI_Comm_rank(comm, &rank));
364: PetscCall(VecScatterBegin(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
365: PetscCall(VecScatterEnd(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
367: if (rank == 0) {
368: PetscCall(VecGetArrayRead(Xseq, &x));
369: ci = x[0] * x[0] - x[1];
370: PetscCall(VecSetValue(CI, 0, ci, INSERT_VALUES));
371: ci = -x[0] * x[0] + x[1] + 1.0;
372: PetscCall(VecSetValue(CI, 1, ci, INSERT_VALUES));
373: PetscCall(VecRestoreArrayRead(Xseq, &x));
374: }
375: PetscCall(VecAssemblyBegin(CI));
376: PetscCall(VecAssemblyEnd(CI));
377: PetscFunctionReturn(PETSC_SUCCESS);
378: }
380: /* Evaluate
381: g = [ x0^2 + x1 - 2]
382: */
383: PetscErrorCode FormEqualityConstraints(Tao tao, Vec X, Vec CE, PetscCtx ctx)
384: {
385: const PetscScalar *x;
386: PetscScalar ce;
387: MPI_Comm comm;
388: PetscMPIInt rank;
389: AppCtx *user = (AppCtx *)ctx;
390: Vec Xseq = user->Xseq;
391: VecScatter scat = user->scat;
393: PetscFunctionBegin;
394: PetscCall(PetscObjectGetComm((PetscObject)tao, &comm));
395: PetscCallMPI(MPI_Comm_rank(comm, &rank));
397: PetscCall(VecScatterBegin(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
398: PetscCall(VecScatterEnd(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
400: if (rank == 0) {
401: PetscCall(VecGetArrayRead(Xseq, &x));
402: ce = x[0] * x[0] + x[1] - 2.0;
403: PetscCall(VecSetValue(CE, 0, ce, INSERT_VALUES));
404: PetscCall(VecRestoreArrayRead(Xseq, &x));
405: }
406: PetscCall(VecAssemblyBegin(CE));
407: PetscCall(VecAssemblyEnd(CE));
408: PetscFunctionReturn(PETSC_SUCCESS);
409: }
411: /*
412: grad h = [ 2*x0, -1;
413: -2*x0, 1]
414: */
415: PetscErrorCode FormInequalityJacobian(Tao tao, Vec X, Mat JI, Mat JIpre, PetscCtx ctx)
416: {
417: AppCtx *user = (AppCtx *)ctx;
418: PetscInt zero = 0, one = 1, cols[2];
419: PetscScalar vals[2];
420: const PetscScalar *x;
421: Vec Xseq = user->Xseq;
422: VecScatter scat = user->scat;
423: MPI_Comm comm;
424: PetscMPIInt rank;
426: PetscFunctionBegin;
427: PetscCall(PetscObjectGetComm((PetscObject)tao, &comm));
428: PetscCallMPI(MPI_Comm_rank(comm, &rank));
429: PetscCall(VecScatterBegin(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
430: PetscCall(VecScatterEnd(scat, X, Xseq, INSERT_VALUES, SCATTER_FORWARD));
432: PetscCall(VecGetArrayRead(Xseq, &x));
433: if (rank == 0) {
434: cols[0] = 0;
435: cols[1] = 1;
436: vals[0] = 2 * x[0];
437: vals[1] = -1.0;
438: PetscCall(MatSetValues(JI, 1, &zero, 2, cols, vals, INSERT_VALUES));
439: vals[0] = -2 * x[0];
440: vals[1] = 1.0;
441: PetscCall(MatSetValues(JI, 1, &one, 2, cols, vals, INSERT_VALUES));
442: }
443: PetscCall(VecRestoreArrayRead(Xseq, &x));
444: PetscCall(MatAssemblyBegin(JI, MAT_FINAL_ASSEMBLY));
445: PetscCall(MatAssemblyEnd(JI, MAT_FINAL_ASSEMBLY));
446: PetscFunctionReturn(PETSC_SUCCESS);
447: }
449: /*
450: grad g = [2*x0, 1.0]
451: */
452: PetscErrorCode FormEqualityJacobian(Tao tao, Vec X, Mat JE, Mat JEpre, PetscCtx ctx)
453: {
454: PetscInt zero = 0, cols[2];
455: PetscScalar vals[2];
456: const PetscScalar *x;
457: PetscMPIInt rank;
458: MPI_Comm comm;
460: PetscFunctionBegin;
461: PetscCall(PetscObjectGetComm((PetscObject)tao, &comm));
462: PetscCallMPI(MPI_Comm_rank(comm, &rank));
464: if (rank == 0) {
465: PetscCall(VecGetArrayRead(X, &x));
466: cols[0] = 0;
467: cols[1] = 1;
468: vals[0] = 2 * x[0];
469: vals[1] = 1.0;
470: PetscCall(MatSetValues(JE, 1, &zero, 2, cols, vals, INSERT_VALUES));
471: PetscCall(VecRestoreArrayRead(X, &x));
472: }
473: PetscCall(MatAssemblyBegin(JE, MAT_FINAL_ASSEMBLY));
474: PetscCall(MatAssemblyEnd(JE, MAT_FINAL_ASSEMBLY));
475: PetscFunctionReturn(PETSC_SUCCESS);
476: }
478: /*TEST
480: build:
481: requires: !complex !defined(PETSC_USE_CXX)
483: test:
484: args: -tao_converged_reason -tao_gatol 1.e-6 -tao_type pdipm -tao_pdipm_kkt_shift_pd
485: requires: mumps !single
486: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
488: test:
489: suffix: pdipm_2
490: requires: mumps
491: nsize: 2
492: args: -tao_converged_reason -tao_gatol 1.e-6 -tao_type pdipm
493: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
495: test:
496: suffix: 2
497: args: -tao_converged_reason
498: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
500: test:
501: suffix: 3
502: args: -tao_converged_reason -no_eq
503: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
505: test:
506: suffix: 4
507: args: -tao_converged_reason -tao_almm_type classic
508: requires: !single
509: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
511: test:
512: suffix: 5
513: args: -tao_converged_reason -tao_almm_type classic -no_eq
514: requires: !single
515: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
517: test:
518: suffix: 6
519: args: -tao_converged_reason -tao_almm_subsolver_tao_type bqnktr
520: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
522: test:
523: suffix: 7
524: args: -tao_converged_reason -tao_almm_subsolver_tao_type bncg
525: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
527: test:
528: suffix: 8
529: nsize: 2
530: args: -tao_converged_reason
531: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
533: test:
534: suffix: 9
535: nsize: 2
536: args: -tao_converged_reason -vec_type cuda -mat_type aijcusparse
537: requires: cuda
538: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
540: test:
541: suffix: 10
542: args: -tao_converged_reason -tao_almm_type classic -no_eq -no_bound
543: requires: !single
544: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
546: test:
547: suffix: 11
548: args: -tao_converged_reason -tao_almm_type classic -no_bound
549: requires: !single
550: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
552: test:
553: suffix: 12
554: args: -tao_converged_reason -tao_almm_type phr -no_eq -no_bound
555: requires: !single
556: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
558: test:
559: suffix: 13
560: args: -tao_converged_reason -tao_almm_type phr -no_bound
561: requires: !single
562: filter: sed -e "s/CONVERGED_GATOL iterations *[0-9]\{1,\}/CONVERGED_GATOL/g"
564: TEST*/