#include #include <../src/tao/linesearch/impls/gpcglinesearch/gpcglinesearch.h> /* ---------------------------------------------------------- */ #undef __FUNCT__ #define __FUNCT__ "TaoLineSearchDestroy_GPCG" static PetscErrorCode TaoLineSearchDestroy_GPCG(TaoLineSearch ls) { PetscErrorCode ierr; TaoLineSearch_GPCG *ctx = (TaoLineSearch_GPCG *)ls->data; PetscFunctionBegin; ierr = VecDestroy(&ctx->W1);CHKERRQ(ierr); ierr = VecDestroy(&ctx->W2);CHKERRQ(ierr); ierr = VecDestroy(&ctx->Gold);CHKERRQ(ierr); ierr = VecDestroy(&ctx->x);CHKERRQ(ierr); ierr = PetscFree(ls->data);CHKERRQ(ierr); PetscFunctionReturn(0); } /*------------------------------------------------------------*/ #undef __FUNCT__ #define __FUNCT__ "TaoLineSearchView_GPCG" static PetscErrorCode TaoLineSearchView_GPCG(TaoLineSearch ls, PetscViewer viewer) { PetscBool isascii; PetscErrorCode ierr; PetscFunctionBegin; ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr); if (isascii) { ierr = PetscViewerASCIIPrintf(viewer," GPCG Line search");CHKERRQ(ierr); } PetscFunctionReturn(0); } /*------------------------------------------------------------*/ #undef __FUNCT__ #define __FUNCT__ "TaoLineSearchApply_GPCG" static PetscErrorCode TaoLineSearchApply_GPCG(TaoLineSearch ls, Vec x, PetscReal *f, Vec g, Vec s) { TaoLineSearch_GPCG *neP = (TaoLineSearch_GPCG *)ls->data; PetscErrorCode ierr; PetscInt i; PetscBool g_computed=PETSC_FALSE; /* to prevent extra gradient computation */ PetscReal d1,finit,actred,prered,rho, gdx; PetscFunctionBegin; /* ls->stepmin - lower bound for step */ /* ls->stepmax - upper bound for step */ /* ls->rtol - relative tolerance for an acceptable step */ /* ls->ftol - tolerance for sufficient decrease condition */ /* ls->gtol - tolerance for curvature condition */ /* ls->nfeval - number of function evaluations */ /* ls->nfeval - number of function/gradient evaluations */ /* ls->max_funcs - maximum number of function evaluations */ ls->reason = TAOLINESEARCH_CONTINUE_ITERATING; ls->step = ls->initstep; if (!neP->W2) { ierr = VecDuplicate(x,&neP->W2);CHKERRQ(ierr); ierr = VecDuplicate(x,&neP->W1);CHKERRQ(ierr); ierr = VecDuplicate(x,&neP->Gold);CHKERRQ(ierr); neP->x = x; ierr = PetscObjectReference((PetscObject)neP->x);CHKERRQ(ierr); } else if (x != neP->x) { ierr = VecDestroy(&neP->x);CHKERRQ(ierr); ierr = VecDestroy(&neP->W1);CHKERRQ(ierr); ierr = VecDestroy(&neP->W2);CHKERRQ(ierr); ierr = VecDestroy(&neP->Gold);CHKERRQ(ierr); ierr = VecDuplicate(x,&neP->W1);CHKERRQ(ierr); ierr = VecDuplicate(x,&neP->W2);CHKERRQ(ierr); ierr = VecDuplicate(x,&neP->Gold);CHKERRQ(ierr); ierr = PetscObjectDereference((PetscObject)neP->x);CHKERRQ(ierr); neP->x = x; ierr = PetscObjectReference((PetscObject)neP->x);CHKERRQ(ierr); } ierr = VecDot(g,s,&gdx);CHKERRQ(ierr); if (gdx > 0) { ierr = PetscInfo1(ls,"Line search error: search direction is not descent direction. dot(g,s) = %g\n",(double)gdx);CHKERRQ(ierr); ls->reason = TAOLINESEARCH_FAILED_ASCENT; PetscFunctionReturn(0); } ierr = VecCopy(x,neP->W2);CHKERRQ(ierr); ierr = VecCopy(g,neP->Gold);CHKERRQ(ierr); if (ls->bounded) { /* Compute the smallest steplength that will make one nonbinding variable equal the bound */ ierr = VecStepBoundInfo(x,s,ls->lower,ls->upper,&rho,&actred,&d1);CHKERRQ(ierr); ls->step = PetscMin(ls->step,d1); } rho=0; actred=0; if (ls->step < 0) { ierr = PetscInfo1(ls,"Line search error: initial step parameter %g< 0\n",(double)ls->step);CHKERRQ(ierr); ls->reason = TAOLINESEARCH_HALTED_OTHER; PetscFunctionReturn(0); } /* Initialization */ finit = *f; for (i=0; i< ls->max_funcs; i++) { /* Force the step to be within the bounds */ ls->step = PetscMax(ls->step,ls->stepmin); ls->step = PetscMin(ls->step,ls->stepmax); ierr = VecCopy(x,neP->W2);CHKERRQ(ierr); ierr = VecAXPY(neP->W2,ls->step,s);CHKERRQ(ierr); if (ls->bounded) { /* Make sure new vector is numerically within bounds */ ierr = VecMedian(neP->W2,ls->lower,ls->upper,neP->W2);CHKERRQ(ierr); } /* Gradient is not needed here. Unless there is a separate gradient routine, compute it here anyway to prevent recomputing at the end of the line search */ if (ls->hasobjective) { ierr = TaoLineSearchComputeObjective(ls,neP->W2,f);CHKERRQ(ierr); g_computed=PETSC_FALSE; } else if (ls->usegts){ ierr = TaoLineSearchComputeObjectiveAndGTS(ls,neP->W2,f,&gdx);CHKERRQ(ierr); g_computed=PETSC_FALSE; } else { ierr = TaoLineSearchComputeObjectiveAndGradient(ls,neP->W2,f,g);CHKERRQ(ierr); g_computed=PETSC_TRUE; } if (0 == i) { ls->f_fullstep = *f; } actred = *f - finit; ierr = VecCopy(neP->W2,neP->W1);CHKERRQ(ierr); ierr = VecAXPY(neP->W1,-1.0,x);CHKERRQ(ierr); /* W1 = W2 - X */ ierr = VecDot(neP->W1,neP->Gold,&prered);CHKERRQ(ierr); if (fabs(prered)<1.0e-100) prered=1.0e-12; rho = actred/prered; /* If sufficient progress has been obtained, accept the point. Otherwise, backtrack. */ if (actred > 0) { ierr = PetscInfo(ls,"Step resulted in ascent, rejecting.\n");CHKERRQ(ierr); ls->step = (ls->step)/2; } else if (rho > ls->ftol){ break; } else{ ls->step = (ls->step)/2; } /* Convergence testing */ if (ls->step <= ls->stepmin || ls->step >= ls->stepmax) { ls->reason = TAOLINESEARCH_HALTED_OTHER; ierr = PetscInfo(ls,"Rounding errors may prevent further progress. May not be a step satisfying\n");CHKERRQ(ierr); ierr = PetscInfo(ls,"sufficient decrease and curvature conditions. Tolerances may be too small.\n");CHKERRQ(ierr); break; } if (ls->step == ls->stepmax) { ierr = PetscInfo1(ls,"Step is at the upper bound, stepmax (%g)\n",(double)ls->stepmax);CHKERRQ(ierr); ls->reason = TAOLINESEARCH_HALTED_UPPERBOUND; break; } if (ls->step == ls->stepmin) { ierr = PetscInfo1(ls,"Step is at the lower bound, stepmin (%g)\n",(double)ls->stepmin);CHKERRQ(ierr); ls->reason = TAOLINESEARCH_HALTED_LOWERBOUND; break; } if ((ls->nfeval+ls->nfgeval) >= ls->max_funcs) { ierr = PetscInfo2(ls,"Number of line search function evals (%D) > maximum (%D)\n",ls->nfeval+ls->nfgeval,ls->max_funcs);CHKERRQ(ierr); ls->reason = TAOLINESEARCH_HALTED_MAXFCN; break; } if ((neP->bracket) && (ls->stepmax - ls->stepmin <= ls->rtol*ls->stepmax)){ ierr = PetscInfo1(ls,"Relative width of interval of uncertainty is at most rtol (%g)\n",(double)ls->rtol);CHKERRQ(ierr); ls->reason = TAOLINESEARCH_HALTED_RTOL; break; } } ierr = PetscInfo2(ls,"%D function evals in line search, step = %g\n",ls->nfeval+ls->nfgeval,(double)ls->step);CHKERRQ(ierr); /* set new solution vector and compute gradient if necessary */ ierr = VecCopy(neP->W2, x);CHKERRQ(ierr); if (!g_computed) { ierr = TaoLineSearchComputeGradient(ls,x,g);CHKERRQ(ierr); } PetscFunctionReturn(0); } /* ---------------------------------------------------------- */ #undef __FUNCT__ #define __FUNCT__ "TaoLineSearchCreate_GPCG" PETSC_EXTERN PetscErrorCode TaoLineSearchCreate_GPCG(TaoLineSearch ls) { PetscErrorCode ierr; TaoLineSearch_GPCG *neP; PetscFunctionBegin; ls->ftol = 0.05; ls->rtol = 0.0; ls->gtol = 0.0; ls->stepmin = 1.0e-20; ls->stepmax = 1.0e+20; ls->nfeval = 0; ls->max_funcs = 30; ls->step = 1.0; ierr = PetscNewLog(ls,&neP);CHKERRQ(ierr); neP->bracket = 0; neP->infoc = 1; ls->data = (void*)neP; ls->ops->setup = 0; ls->ops->reset = 0; ls->ops->apply=TaoLineSearchApply_GPCG; ls->ops->view =TaoLineSearchView_GPCG; ls->ops->destroy=TaoLineSearchDestroy_GPCG; ls->ops->setfromoptions=0; PetscFunctionReturn(0); }