Date: 2022-08-02T03:15:14+00:00

Actual source code: ssfls.c

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

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

      7:   VecDuplicate(tao->solution,&tao->gradient);
      8:   VecDuplicate(tao->solution,&tao->stepdirection);
      9:   VecDuplicate(tao->solution,&ssls->w);
     10:   VecDuplicate(tao->solution,&ssls->ff);
     11:   VecDuplicate(tao->solution,&ssls->dpsi);
     12:   VecDuplicate(tao->solution,&ssls->da);
     13:   VecDuplicate(tao->solution,&ssls->db);
     14:   VecDuplicate(tao->solution,&ssls->t1);
     15:   VecDuplicate(tao->solution,&ssls->t2);
     16:   if (!tao->XL) {
     17:     VecDuplicate(tao->solution,&tao->XL);
     18:   }
     19:   if (!tao->XU) {
     20:     VecDuplicate(tao->solution,&tao->XU);
     21:   }
     22:   TaoLineSearchSetVariableBounds(tao->linesearch,tao->XL,tao->XU);
     23:   return 0;
     24: }

     26: static PetscErrorCode TaoSolve_SSFLS(Tao tao)
     27: {
     28:   TAO_SSLS                     *ssls = (TAO_SSLS *)tao->data;
     29:   PetscReal                    psi, ndpsi, normd, innerd, t=0;
     30:   PetscReal                    delta, rho;
     31:   TaoLineSearchConvergedReason ls_reason;

     33:   /* Assume that Setup has been called!
     34:      Set the structure for the Jacobian and create a linear solver. */
     35:   delta = ssls->delta;
     36:   rho = ssls->rho;

     38:   TaoComputeVariableBounds(tao);
     39:   /* Project solution inside bounds */
     40:   VecMedian(tao->XL,tao->solution,tao->XU,tao->solution);
     41:   TaoLineSearchSetObjectiveAndGradientRoutine(tao->linesearch,Tao_SSLS_FunctionGradient,tao);
     42:   TaoLineSearchSetObjectiveRoutine(tao->linesearch,Tao_SSLS_Function,tao);

     44:   /* Calculate the function value and fischer function value at the
     45:      current iterate */
     46:   TaoLineSearchComputeObjectiveAndGradient(tao->linesearch,tao->solution,&psi,ssls->dpsi);
     47:   VecNorm(ssls->dpsi,NORM_2,&ndpsi);

     49:   tao->reason = TAO_CONTINUE_ITERATING;
     50:   while (PETSC_TRUE) {
     51:     PetscInfo(tao, "iter: %D, merit: %g, ndpsi: %g\n",tao->niter, (double)ssls->merit, (double)ndpsi);
     52:     /* Check the termination criteria */
     53:     TaoLogConvergenceHistory(tao,ssls->merit,ndpsi,0.0,tao->ksp_its);
     54:     TaoMonitor(tao,tao->niter,ssls->merit,ndpsi,0.0,t);
     55:     (*tao->ops->convergencetest)(tao,tao->cnvP);
     56:     if (tao->reason!=TAO_CONTINUE_ITERATING) break;

     58:     /* Call general purpose update function */
     59:     if (tao->ops->update) {
     60:       (*tao->ops->update)(tao, tao->niter, tao->user_update);
     61:     }
     62:     tao->niter++;

     64:     /* Calculate direction.  (Really negative of newton direction.  Therefore,
     65:        rest of the code uses -d.) */
     66:     KSPSetOperators(tao->ksp,tao->jacobian,tao->jacobian_pre);
     67:     KSPSolve(tao->ksp,ssls->ff,tao->stepdirection);
     68:     KSPGetIterationNumber(tao->ksp,&tao->ksp_its);
     69:     tao->ksp_tot_its+=tao->ksp_its;

     71:     VecCopy(tao->stepdirection,ssls->w);
     72:     VecScale(ssls->w,-1.0);
     73:     VecBoundGradientProjection(ssls->w,tao->solution,tao->XL,tao->XU,ssls->w);

     75:     VecNorm(ssls->w,NORM_2,&normd);
     76:     VecDot(ssls->w,ssls->dpsi,&innerd);

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

     85:     VecScale(tao->stepdirection, -1.0);
     86:     innerd = -innerd;

     88:     TaoLineSearchSetInitialStepLength(tao->linesearch,1.0);
     89:     TaoLineSearchApply(tao->linesearch,tao->solution,&psi,ssls->dpsi,tao->stepdirection,&t,&ls_reason);
     90:     VecNorm(ssls->dpsi,NORM_2,&ndpsi);
     91:   }
     92:   return 0;
     93: }

     95: PetscErrorCode TaoDestroy_SSFLS(Tao tao)
     96: {
     97:   TAO_SSLS       *ssls = (TAO_SSLS *)tao->data;

     99:   VecDestroy(&ssls->ff);
    100:   VecDestroy(&ssls->w);
    101:   VecDestroy(&ssls->dpsi);
    102:   VecDestroy(&ssls->da);
    103:   VecDestroy(&ssls->db);
    104:   VecDestroy(&ssls->t1);
    105:   VecDestroy(&ssls->t2);
    106:   PetscFree(tao->data);
    107:   return 0;
    108: }

    110: /* ---------------------------------------------------------- */
    111: /*MC
    112:    TAOSSFLS - Semi-smooth feasible linesearch algorithm for solving
    113:        complementarity constraints

    115:    Options Database Keys:
    116: + -tao_ssls_delta - descent test fraction
    117: - -tao_ssls_rho - descent test power

    119:    Level: beginner
    120: M*/

    122: PETSC_EXTERN PetscErrorCode TaoCreate_SSFLS(Tao tao)
    123: {
    124:   TAO_SSLS       *ssls;
    125:   const char     *armijo_type = TAOLINESEARCHARMIJO;

    127:   PetscNewLog(tao,&ssls);
    128:   tao->data = (void*)ssls;
    129:   tao->ops->solve=TaoSolve_SSFLS;
    130:   tao->ops->setup=TaoSetUp_SSFLS;
    131:   tao->ops->view=TaoView_SSLS;
    132:   tao->ops->setfromoptions = TaoSetFromOptions_SSLS;
    133:   tao->ops->destroy = TaoDestroy_SSFLS;

    135:   ssls->delta = 1e-10;
    136:   ssls->rho = 2.1;

    138:   TaoLineSearchCreate(((PetscObject)tao)->comm,&tao->linesearch);
    139:   PetscObjectIncrementTabLevel((PetscObject)tao->linesearch, (PetscObject)tao, 1);
    140:   TaoLineSearchSetType(tao->linesearch,armijo_type);
    141:   TaoLineSearchSetOptionsPrefix(tao->linesearch,tao->hdr.prefix);
    142:   TaoLineSearchSetFromOptions(tao->linesearch);
    143:   /* Linesearch objective and objectivegradient routines are  set in solve routine */
    144:   KSPCreate(((PetscObject)tao)->comm,&tao->ksp);
    145:   PetscObjectIncrementTabLevel((PetscObject)tao->ksp, (PetscObject)tao, 1);
    146:   KSPSetOptionsPrefix(tao->ksp,tao->hdr.prefix);

    148:   /* Override default settings (unless already changed) */
    149:   if (!tao->max_it_changed) tao->max_it = 2000;
    150:   if (!tao->max_funcs_changed) tao->max_funcs = 4000;
    151:   if (!tao->gttol_changed) tao->gttol = 0;
    152:   if (!tao->grtol_changed) tao->grtol = 0;
    153: #if defined(PETSC_USE_REAL_SINGLE)
    154:   if (!tao->gatol_changed) tao->gatol = 1.0e-6;
    155:   if (!tao->fmin_changed)  tao->fmin = 1.0e-4;
    156: #else
    157:   if (!tao->gatol_changed) tao->gatol = 1.0e-16;
    158:   if (!tao->fmin_changed)  tao->fmin = 1.0e-8;
    159: #endif
    160:   return 0;
    161: }