Actual source code: ssils.c

  1: #include <../src/tao/complementarity/impls/ssls/ssls.h>

  3: static PetscErrorCode TaoSetUp_SSILS(Tao tao)
  4: {
  5:   TAO_SSLS *ssls = (TAO_SSLS *)tao->data;

  7:   PetscFunctionBegin;
  8:   PetscCall(VecDuplicate(tao->solution, &tao->gradient));
  9:   PetscCall(VecDuplicate(tao->solution, &tao->stepdirection));
 10:   PetscCall(VecDuplicate(tao->solution, &ssls->ff));
 11:   PetscCall(VecDuplicate(tao->solution, &ssls->dpsi));
 12:   PetscCall(VecDuplicate(tao->solution, &ssls->da));
 13:   PetscCall(VecDuplicate(tao->solution, &ssls->db));
 14:   PetscCall(VecDuplicate(tao->solution, &ssls->t1));
 15:   PetscCall(VecDuplicate(tao->solution, &ssls->t2));
 16:   PetscFunctionReturn(PETSC_SUCCESS);
 17: }

 19: static PetscErrorCode TaoDestroy_SSILS(Tao tao)
 20: {
 21:   TAO_SSLS *ssls = (TAO_SSLS *)tao->data;

 23:   PetscFunctionBegin;
 24:   PetscCall(VecDestroy(&ssls->ff));
 25:   PetscCall(VecDestroy(&ssls->dpsi));
 26:   PetscCall(VecDestroy(&ssls->da));
 27:   PetscCall(VecDestroy(&ssls->db));
 28:   PetscCall(VecDestroy(&ssls->t1));
 29:   PetscCall(VecDestroy(&ssls->t2));
 30:   PetscCall(KSPDestroy(&tao->ksp));
 31:   PetscCall(PetscFree(tao->data));
 32:   PetscFunctionReturn(PETSC_SUCCESS);
 33: }

 35: static PetscErrorCode TaoSolve_SSILS(Tao tao)
 36: {
 37:   TAO_SSLS                    *ssls = (TAO_SSLS *)tao->data;
 38:   PetscReal                    psi, ndpsi, normd, innerd, t = 0;
 39:   PetscReal                    delta, rho;
 40:   TaoLineSearchConvergedReason ls_reason;

 42:   PetscFunctionBegin;
 43:   /* Assume that Setup has been called!
 44:      Set the structure for the Jacobian and create a linear solver. */
 45:   delta = ssls->delta;
 46:   rho   = ssls->rho;

 48:   PetscCall(TaoComputeVariableBounds(tao));
 49:   PetscCall(VecMedian(tao->XL, tao->solution, tao->XU, tao->solution));
 50:   PetscCall(TaoLineSearchSetObjectiveAndGradientRoutine(tao->linesearch, Tao_SSLS_FunctionGradient, tao));
 51:   PetscCall(TaoLineSearchSetObjectiveRoutine(tao->linesearch, Tao_SSLS_Function, tao));

 53:   /* Calculate the function value and fischer function value at the
 54:      current iterate */
 55:   PetscCall(TaoLineSearchComputeObjectiveAndGradient(tao->linesearch, tao->solution, &psi, ssls->dpsi));
 56:   PetscCall(VecNorm(ssls->dpsi, NORM_2, &ndpsi));

 58:   tao->reason = TAO_CONTINUE_ITERATING;
 59:   while (PETSC_TRUE) {
 60:     PetscCall(PetscInfo(tao, "iter: %" PetscInt_FMT ", merit: %g, ndpsi: %g\n", tao->niter, (double)ssls->merit, (double)ndpsi));
 61:     /* Check the termination criteria */
 62:     PetscCall(TaoLogConvergenceHistory(tao, ssls->merit, ndpsi, 0.0, tao->ksp_its));
 63:     PetscCall(TaoMonitor(tao, tao->niter, ssls->merit, ndpsi, 0.0, t));
 64:     PetscUseTypeMethod(tao, convergencetest, tao->cnvP);
 65:     if (tao->reason != TAO_CONTINUE_ITERATING) break;

 67:     /* Call general purpose update function */
 68:     PetscTryTypeMethod(tao, update, tao->niter, tao->user_update);
 69:     tao->niter++;

 71:     /* Calculate direction.  (Really negative of newton direction.  Therefore,
 72:        rest of the code uses -d.) */
 73:     PetscCall(KSPSetOperators(tao->ksp, tao->jacobian, tao->jacobian_pre));
 74:     PetscCall(KSPSolve(tao->ksp, ssls->ff, tao->stepdirection));
 75:     PetscCall(KSPGetIterationNumber(tao->ksp, &tao->ksp_its));
 76:     tao->ksp_tot_its += tao->ksp_its;
 77:     PetscCall(VecNorm(tao->stepdirection, NORM_2, &normd));
 78:     PetscCall(VecDot(tao->stepdirection, ssls->dpsi, &innerd));

 80:     /* Make sure that we have a descent direction */
 81:     if (innerd <= delta * PetscPowReal(normd, rho)) {
 82:       PetscCall(PetscInfo(tao, "newton direction not descent\n"));
 83:       PetscCall(VecCopy(ssls->dpsi, tao->stepdirection));
 84:       PetscCall(VecDot(tao->stepdirection, ssls->dpsi, &innerd));
 85:     }

 87:     PetscCall(VecScale(tao->stepdirection, -1.0));
 88:     innerd = -innerd;

 90:     PetscCall(TaoLineSearchSetInitialStepLength(tao->linesearch, 1.0));
 91:     PetscCall(TaoLineSearchApply(tao->linesearch, tao->solution, &psi, ssls->dpsi, tao->stepdirection, &t, &ls_reason));
 92:     PetscCall(VecNorm(ssls->dpsi, NORM_2, &ndpsi));
 93:   }
 94:   PetscFunctionReturn(PETSC_SUCCESS);
 95: }

 97: /* ---------------------------------------------------------- */
 98: /*MC
 99:    TAOSSILS - semi-smooth infeasible linesearch algorithm for solving
100:        complementarity constraints

102:    Options Database Keys:
103: + -tao_ssls_delta - descent test fraction
104: - -tao_ssls_rho - descent test power

106:    Level: beginner
107: M*/
108: PETSC_EXTERN PetscErrorCode TaoCreate_SSILS(Tao tao)
109: {
110:   TAO_SSLS   *ssls;
111:   const char *armijo_type = TAOLINESEARCHARMIJO;

113:   PetscFunctionBegin;
114:   PetscCall(PetscNew(&ssls));
115:   tao->data                = (void *)ssls;
116:   tao->ops->solve          = TaoSolve_SSILS;
117:   tao->ops->setup          = TaoSetUp_SSILS;
118:   tao->ops->view           = TaoView_SSLS;
119:   tao->ops->setfromoptions = TaoSetFromOptions_SSLS;
120:   tao->ops->destroy        = TaoDestroy_SSILS;

122:   ssls->delta = 1e-10;
123:   ssls->rho   = 2.1;

125:   PetscCall(TaoLineSearchCreate(((PetscObject)tao)->comm, &tao->linesearch));
126:   PetscCall(PetscObjectIncrementTabLevel((PetscObject)tao->linesearch, (PetscObject)tao, 1));
127:   PetscCall(TaoLineSearchSetType(tao->linesearch, armijo_type));
128:   PetscCall(TaoLineSearchSetOptionsPrefix(tao->linesearch, tao->hdr.prefix));
129:   PetscCall(TaoLineSearchSetFromOptions(tao->linesearch));
130:   /* Note: linesearch objective and objectivegradient routines are set in solve routine */
131:   PetscCall(KSPCreate(((PetscObject)tao)->comm, &tao->ksp));
132:   PetscCall(PetscObjectIncrementTabLevel((PetscObject)tao->ksp, (PetscObject)tao, 1));
133:   PetscCall(KSPSetOptionsPrefix(tao->ksp, tao->hdr.prefix));

135:   /* Override default settings (unless already changed) */
136:   if (!tao->max_it_changed) tao->max_it = 2000;
137:   if (!tao->max_funcs_changed) tao->max_funcs = 4000;
138:   if (!tao->gttol_changed) tao->gttol = 0;
139:   if (!tao->grtol_changed) tao->grtol = 0;
140: #if defined(PETSC_USE_REAL_SINGLE)
141:   if (!tao->gatol_changed) tao->gatol = 1.0e-6;
142:   if (!tao->fmin_changed) tao->fmin = 1.0e-4;
143: #else
144:   if (!tao->gatol_changed) tao->gatol = 1.0e-16;
145:   if (!tao->fmin_changed) tao->fmin = 1.0e-8;
146: #endif
147:   PetscFunctionReturn(PETSC_SUCCESS);
148: }