dyret_enum dy_hotstart (lpprob_struct *orig_lp) /* This routine is responsible for handling a hot start. The assumption is that all data structures are in place, and that the user is allowed to change the bounds on variables and any of the rhs and objective coefficients. See the comments at the head of the file. Changes to the rhs and bounds are handled first. We reinstall the rhs array, then scan the variables, updating bounds and status and making the rhs corrections required for inactive variables. If the bounds or rhs change, we need new primals. After we calculate new primals, we'll need to scan the basic variables and make sure their final status is correct. If the objective or bounds change, we need to recalculate the contribution to the objective from inactive variables. If the objective changes, we need new duals. (It's also true that if the objective changes, we need new reduced costs, but that's handled in commonstart.) The most likely situation is that we haven't pivoted since refactoring as part of the preoptimality sequence, so we shouldn't need to refactor here. Instead, we leave it to dy_duenna to pick this up with the next pivot, as well as any possible accuracy check. Once all the changes have been incorporated, calculate primals and duals to determine primal and dual feasibility, and select the appropriate simplex phase in dy_lp->simplex.next. Parameters: orig_lp: The original lp problem structure Returns: dyrOK if the setup completes without error, dyrINV or dyrFATAL otherwise. */ { int oxkndx,xkndx,oaindx,aindx ; double *ogvlb,*dyvlb,*ogvub,*dyvub,*ogobj,*dyobj,*dyrhs,*ogrhs ; double lbj,ubj ; consys_struct *orig_sys ; flags *ogstatus,calcflgs,statk ; dyret_enum retval ; lpret_enum lpret ; dyphase_enum phase ; const char *rtnnme = "dy_hotstart" ; /* dy_scaling.c */ extern void dy_refreshlclsystem(flags what) ; /* dy_force.c */ extern dyphase_enum dy_forceFull(consys_struct *orig_sys) ; /* It could happen that there are no changes, in which case there's no point in going through the motions. */ if (flgoff(orig_lp->ctlopts, lpctlLBNDCHG|lpctlUBNDCHG|lpctlOBJCHG|lpctlRHSCHG)) { # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 1) dyio_outfmt(dy_logchn,dy_gtxecho, "\n no data structure changes at hot start.") ; # endif hot_updateMiscState(lpINV) ; return (dyrOK) ; } /* But it's far more likely there are changes, and we need to get on with them. */ # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n updating data structures at hot start ...") ; if (dy_opts->print.crash >= 2) { dyio_outfmt(dy_logchn,dy_gtxecho,"\n scanning changes to") ; if (flgon(orig_lp->ctlopts,lpctlRHSCHG)) dyio_outfmt(dy_logchn,dy_gtxecho," rhs") ; if (flgon(orig_lp->ctlopts,lpctlLBNDCHG)) dyio_outfmt(dy_logchn,dy_gtxecho," vlb") ; if (flgon(orig_lp->ctlopts,lpctlUBNDCHG)) dyio_outfmt(dy_logchn,dy_gtxecho," vub") ; if (flgon(orig_lp->ctlopts,lpctlOBJCHG)) dyio_outfmt(dy_logchn,dy_gtxecho," obj") ; dyio_outfmt(dy_logchn,dy_gtxecho," ...") ; } } # endif /* Transfer any changes from the client's system to the scaled local copy, if it exists. Then set up convenient handles for the various vectors. */ dy_refreshlclsystem(orig_lp->ctlopts) ; orig_sys = orig_lp->consys ; dyrhs = dy_sys->rhs ; ogrhs = orig_sys->rhs ; ogvlb = orig_sys->vlb ; dyvlb = dy_sys->vlb ; ogvub = orig_sys->vub ; dyvub = dy_sys->vub ; ogobj = orig_sys->obj ; dyobj = dy_sys->obj ; ogstatus = orig_lp->status ; /* If any of the rhs or bounds have been changed, we need to reinstall the rhs and bounds. Begin by scanning the orig_sys rhs array, updating the dy_sys entries for the active constraints. If a range constraint comes by, we also need to set the upper bound of the associated logical. */ if (flgon(orig_lp->ctlopts,lpctlLBNDCHG|lpctlUBNDCHG|lpctlRHSCHG)) { for (aindx = 1 ; aindx <= dy_sys->concnt ; aindx++) { oaindx = dy_actcons[aindx] ; if (oaindx > 0) { dyrhs[aindx] = ogrhs[oaindx] ; if (dy_sys->ctyp[aindx] == contypRNG) { dy_sys->rhslow[aindx] = orig_sys->rhslow[oaindx] ; dyvub[aindx] = dyrhs[aindx]-dy_sys->rhslow[aindx] ; } } } } /* We need to scan the columns no matter what changed. Objective coefficient changes are just copied into the active system as needed. The real action is updating bounds and dealing with the side effects of bounded variables. * Recalculate the contribution to inactzcorr for each inactive variable. * Update dy_sys->vlb, dy_sys->vub, and dy_sys->obj for each active variable. * Update dy_status for each active variable. * Update dy_x for each nonbasic active variable. * Update loadable/unloadable accounting. */ dy_lp->inactzcorr = 0 ; lpret = lpINV ; dy_lp->sys.vars.loadable = 0 ; dy_lp->sys.vars.unloadable = 0 ; for (oxkndx = 1 ; oxkndx <= orig_sys->varcnt ; oxkndx++) { xkndx = dy_origvars[oxkndx] ; lbj = ogvlb[oxkndx] ; ubj = ogvub[oxkndx] ; if (ogvlb[oxkndx] > ogvub[oxkndx]) { lpret = lpINFEAS ; # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tTrivial infeasibility for %s (%d), lb = %g > ub = %g.", consys_nme(orig_sys,'v',oxkndx,0,0),oxkndx, ogvlb[oxkndx],ogvub[oxkndx]) ; } # endif } /* Inactive variables: update the status in dy_origvars and calculate the contribution to inactzcorr. If we've reloaded rhs and rhslow, correct them to account for the value of the variable. Active variables: touch up bounds for fixed variables, update vlb, vub, and obj arrays for dy_sys, update dy_status, and update dy_x for nonbasic variables. */ if (xkndx < 0) { if (process_inactive(orig_lp,oxkndx) == FALSE) return (dyrFATAL) ; statk = (flags) -dy_origvars[oxkndx] ; if (flgon(statk,vstatNOLOAD)) { dy_lp->sys.vars.unloadable++ ; } else { dy_lp->sys.vars.loadable++ ; } } else { process_active(orig_lp,oxkndx) ; } } /* Now, what do we need? Calculate primal values first. If we calculate new primal variables, we need to reset the status of the basic variables, which means we need to do a quick scan of the logicals to reset their status. Arguably this is not necessary if only the objective changed, but overall it's a good investment of our time. */ if (dy_calcprimals() == FALSE) { errmsg(316,rtnnme,dy_sys->nme) ; return (dyrFATAL) ; } for (xkndx = 1 ; xkndx <= dy_sys->concnt ; xkndx++) { if (dy_var2basis[xkndx] != 0) { if (dyvub[xkndx] == dyvlb[xkndx]) dy_status[xkndx] = vstatBFX ; else dy_status[xkndx] = vstatB ; } } dy_setfinalstatus() ; /* Is the phase I objective installed? If so, remove it. This hurts a bit, particularly if we ultimately end up targetting primal phase I as the starting simplex, but it's the only way to test for a dual feasible start. And if we have dual feasibility, it's a big win. */ if (dy_lp->p1obj.installed == TRUE) { if (dy_swapobjs(dyPRIMAL2) == FALSE) { errmsg(318,rtnnme,dy_sys->nme,dy_prtlpphase(dy_lp->phase,TRUE), dy_lp->tot.iters,"remove") ; return (dyrFATAL) ; } } /* Calculate duals and reduced costs and see if we're primal or dual feasible. Calculate the objective just for kicks. */ dy_calcduals() ; if (dy_calccbar() == FALSE) { errmsg(384,rtnnme,dy_sys->nme, dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters) ; return (dyrFATAL) ; } dy_lp->z = dy_calcobj() ; calcflgs = ladPRIMFEAS|ladPFQUIET|ladDUALFEAS|ladDFQUIET ; retval = dy_accchk(&calcflgs) ; if (retval != dyrOK) { errmsg(304,rtnnme,dy_sys->nme, dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters) ; return (retval) ; } if (flgoff(calcflgs,ladPRIMFEAS)) { dy_lp->simplex.next = dyPRIMAL2 ; } else if (flgoff(calcflgs,ladDUALFEAS)) { dy_lp->simplex.next = dyDUAL ; } else { dy_lp->simplex.next = dyPRIMAL1 ; } /* Reset a few control variables and counts in dy_lp. */ hot_updateMiscState(lpret) ; /* And that should do it. Let's make a paranoid check or two, then we're off and running. */ # ifdef DYLP_PARANOIA if (dy_chkdysys(orig_sys) == FALSE) return (dyrFATAL) ; # endif /* Now, is the client forcing the full system on top of the hot start? If so, do it here. We're up and running at this point, so dy_forceFull can do its thing. Normally, dy_forceFull is called when we've failed at primal simplex with a partial system, then tried and failed to force dual feasibility. Make it look like this while we're working. Reset phase to dyINIT and dy_lp->lpret to dyrINV when we're done so that dylp() sees the codes it expects. This is an exceptional activity, so I'm not going out of my way to do this in the most efficient manner. There really isn't a legitimate reason for this --- it's most likely careless coding on the part of the client, but we can cope without too much trouble. TODO (100817) I might want to rethink this, because I'm going to take the attitude that the OsiSimplex interface will force the full system from enableFactorization and enableSimplexInterface. */ if (dy_opts->fullsys == TRUE && (dy_lp->sys.cons.loadable > 0 || dy_lp->sys.vars.loadable > 0)) { # ifndef DYLP_NDEBUG if (dy_opts->print.force >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho,"\n Forcing full system.") ; } # endif dy_lp->lpret = lpFORCEDUAL ; dy_lp->phase = dyFORCEFULL ; phase = dy_forceFull(orig_sys) ; if (phase == dyINV) { retval = dyrFATAL ; } else { dy_lp->lpret = lpINV ; dy_lp->phase = dyINIT ; retval = dyrOK ; } } else { retval = dyrOK ; } return (retval) ; }
dyret_enum dy_warmstart (lpprob_struct *orig_lp) /* This routine is responsible for recreating the active constraint system, basis, and status specified by the user in orig_lp. It will handle even the pathological case of 0 active constraints and 0 active variables. If the user has supplied an active variable vector, only those variables will be activated. Clearly, the supplied basis, status, and active variable vector should be consistent, or bad things will happen. If we're operating in fullsys mode, we need to check here for additions to the constraint system. << In the very near future, this routine should also be upgraded to cope with the possibility that constraints specified in the warm start basis have disappeared. >> Parameters: orig_lp: The original lp problem structure Returns: dyrOK if the setup completes without error, any of a number of error codes otherwise (dyrFATAL, dyrINV, or a code from dy_factor) */ { int vndx,dyvndx,bpos,cndx,dycndx,dycsze,dyvsze,nbfxcnt ; double *vlb,*vub,vlbj,vubj,obj ; consys_struct *orig_sys ; flags *orig_status,vstat,calcflgs ; dyret_enum retval ; basisel_struct *orig_basis ; bool *orig_actvars,rngseen,noactvarspec ; pkvec_struct *pkcol ; char nmebuf[50] ; flags parts = CONSYS_OBJ|CONSYS_VUB|CONSYS_VLB|CONSYS_RHS|CONSYS_RHSLOW| CONSYS_VTYP|CONSYS_CTYP, opts = CONSYS_LVARS|CONSYS_WRNATT ; const char *rtnnme = "dy_warmstart" ; extern void dy_setfinalstatus(void) ; /* dy_hotstart.c */ # if defined(DYLP_PARANOIA) || !defined(DYLP_NDEBUG) double xi ; # endif retval = dyrINV ; nbfxcnt = -1 ; /* Do a little unpacking. */ orig_sys = orig_lp->consys ; orig_status = orig_lp->status ; orig_basis = orig_lp->basis->el ; if (flgon(orig_lp->ctlopts,lpctlACTVARSIN) && dy_opts->fullsys == FALSE) { orig_actvars = orig_lp->actvars ; noactvarspec = FALSE ; } else { orig_actvars = NULL ; noactvarspec = TRUE ; } /* Initialise the statistics on loadable/unloadable variables and constraints. */ dy_lp->sys.forcedfull = FALSE ; dy_lp->sys.vars.loadable = orig_sys->varcnt ; dy_lp->sys.vars.unloadable = 0 ; dy_lp->sys.cons.loadable = orig_sys->concnt ; dy_lp->sys.cons.unloadable = 0 ; /* Create the dy_sys constraint system to match the user's basis and active variables (if specified). We'll create the system with logicals enabled. For variables, if there is an active variable vector, skim it for a count. Otherwise, skim the status array and count the number of nonbasic fixed variables (which will never become active). For constraints, we need to consider the possibility that the user has added cuts and is trusting dylp to deal with it. If we're operating in the usual dynamic mode, this will be picked up automatically, and we can size the constraint system to the active constraints of the basis. But if we're operating in fullsys mode, we need to add them here. In this case, the number of constraints is the current size of the constraint system. Take this opportunity to clean the bounds arrays, making sure that bounds within the feasibility tolerance of one another are set to be exactly equal. (This simplifies handling fixed variables.) For nonbasic variables, force the status to NBFX and cancel activation if actvars is present. Basic variables which need BFX are picked up later, after the basis is established. */ vub = orig_sys->vub ; vlb = orig_sys->vlb ; dyio_outfxd(nmebuf,-((int) (sizeof(nmebuf)-1)), 'l',"%s[actv]",orig_sys->nme) ; if (noactvarspec == FALSE) { dyvsze = 0 ; for (vndx = 1 ; vndx <= orig_sys->varcnt ; vndx++) { vlbj = vlb[vndx] ; vubj = vub[vndx] ; if (atbnd(vlbj,vubj)) { if (vlbj != vubj) { # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 3) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tForcing equal bound %g for %s (%d)", (vlbj+vubj)/2,consys_nme(orig_sys,'v',vndx,0,0),vndx) ; dyio_outfmt(dy_logchn,dy_gtxecho, "\n\t original lb = %g, ub = %g, diff = %g, tol = %g", vlbj,vubj,vubj-vlbj,dy_tols->pfeas) ; } # endif vlb[vndx] = (vlbj+vubj)/2 ; vub[vndx] = vlb[vndx] ; } if (((int) orig_status[vndx]) > 0) { orig_status[vndx] = vstatNBFX ; orig_actvars[vndx] = FALSE ; } } if (vlb[vndx] > vub[vndx]) { dy_lp->lpret = lpINFEAS ; # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tTrivial infeasibility for %s (%d), lb = %g > ub = %g.", consys_nme(orig_sys,'v',vndx,0,0),vndx,vlb[vndx],vub[vndx]) ; } # endif } if (orig_actvars[vndx] == TRUE) dyvsze++ ; } } else { nbfxcnt = 0 ; for (vndx = 1 ; vndx <= orig_sys->varcnt ; vndx++) { vlbj = vlb[vndx] ; vubj = vub[vndx] ; if (atbnd(vlbj,vubj)) { if (vlbj != vubj) { # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 3) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tForcing equal bound %g for %s (g)", (vlbj+vubj)/2,consys_nme(orig_sys,'v',vndx,0,0),vndx) ; dyio_outfmt(dy_logchn,dy_gtxecho, "\n\t original lb = %g, ub = %g, diff = %g, tol = %g", vlbj,vubj,vubj-vlbj,dy_tols->pfeas) ; } # endif vlb[vndx] = (vlbj+vubj)/2 ; vub[vndx] = vlb[vndx] ; } if (((int) orig_status[vndx]) > 0) { orig_status[vndx] = vstatNBFX ; } } if (vlb[vndx] > vub[vndx]) { dy_lp->lpret = lpINFEAS ; } if ((((int) orig_status[vndx]) > 0) && flgon(orig_status[vndx],vstatNBFX)) { nbfxcnt++ ; } } dyvsze = orig_sys->varcnt-nbfxcnt ; } if (dy_opts->fullsys == TRUE) dycsze = orig_sys->concnt ; else dycsze = orig_lp->basis->len ; dyvsze += dycsze ; # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n creating constraint system %s (%d x %d+%d)", nmebuf,dycsze,dyvsze-dycsze,dycsze) ; if (dy_opts->print.setup >= 3) { if (flgoff(orig_lp->ctlopts,lpctlACTVARSIN)) dyio_outfmt(dy_logchn,dy_gtxecho, "\n %d nonbasic fixed variables excluded.", nbfxcnt) ; } } # endif dy_sys = consys_create(nmebuf,parts,opts,dycsze,dyvsze,dy_tols->inf) ; if (dy_sys == NULL) { errmsg(152,rtnnme,nmebuf) ; return (dyrFATAL) ; } /* Hang a set of translation vectors onto each system: origcons and origvars on orig_sys, and actcons and actvars on dy_sys. */ if (consys_attach(dy_sys,CONSYS_ROW, sizeof(int),(void **) &dy_actvars) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"active -> original variable map") ; return (dyrFATAL) ; } if (consys_attach(dy_sys,CONSYS_COL, sizeof(int),(void **) &dy_actcons) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"active -> original constraint map") ; return (dyrFATAL) ; } if (consys_attach(orig_sys,CONSYS_ROW, sizeof(int),(void **) &dy_origvars) == FALSE) { errmsg(100,rtnnme,orig_sys->nme,"original -> active variable map") ; return (dyrFATAL) ; } if (consys_attach(orig_sys,CONSYS_COL, sizeof(int),(void **) &dy_origcons) == FALSE) { errmsg(100,rtnnme,orig_sys->nme,"original -> active constraint map") ; return (dyrFATAL) ; } /* dy_origvars is cleared to 0 as it's attached, indicating that the original variables have no predefined status. We need to correct this. If the caller's supplied an active variable vector, we can use it to activate variables prior to adding constraints. (But in any case don't activate nonbasic fixed variables.) It's illegal to declare a formerly basic variable to be inactive by the simple expedient of setting actvars[vndx] = FALSE, hence the paranoid check. Otherwise, we'll need to depend on dy_loadcon to activate the variables referenced in the active constraints. We'll still fill in origvars, with two purposes: * We can avoid activating nonbasic fixed variables. * We can use dy_origvars == 0 as a paranoid check from here on out. Inactive variables are required to be nonbasic, so in this case the proper status for formerly basic variables is SB. */ if (noactvarspec == FALSE) { # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n processing active variable list ...") ; } # endif pkcol = pkvec_new(0) ; for (vndx = 1 ; vndx <= orig_sys->varcnt ; vndx++) { if (((int) orig_status[vndx]) > 0) vstat = orig_status[vndx] ; else vstat = vstatB ; if (orig_actvars[vndx] == TRUE && flgoff(vstat,vstatNBFX)) { if (consys_getcol_pk(orig_sys,vndx,&pkcol) == FALSE) { errmsg(122,rtnnme,orig_sys->nme,"variable", consys_nme(orig_sys,'v',vndx,TRUE,NULL),vndx) ; retval = dyrFATAL ; break ; } if (consys_addcol_pk(dy_sys,vartypCON,pkcol, orig_sys->obj[vndx],vlb[vndx],vub[vndx]) == FALSE) { errmsg(156,rtnnme,"variable",dy_sys->nme,pkcol->nme) ; retval = dyrFATAL ; break ; } dyvndx = pkcol->ndx ; dy_origvars[vndx] = dyvndx ; dy_actvars[dyvndx] = vndx ; # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 3) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tactivating %s variable %s (%d) to index %d.", consys_prtvartyp(orig_sys->vtyp[vndx]), consys_nme(orig_sys,'v',vndx,FALSE,NULL),vndx,dyvndx) ; } # endif } else { # ifdef DYLP_PARANOIA if (flgon(vstat,vstatBASIC)) { errmsg(380,rtnnme,orig_sys->nme, consys_nme(orig_sys,'v',vndx,FALSE,NULL),vndx, dy_prtvstat(vstat),"non-basic") ; retval = dyrFATAL ; break ; } # endif dy_origvars[vndx] = -((int) vstat) ; } } pkvec_free(pkcol) ; if (retval != dyrINV) return (retval) ; } else { for (vndx = 1 ; vndx <= orig_sys->varcnt ; vndx++) { if (((int) orig_status[vndx]) > 0) vstat = orig_status[vndx] ; else vstat = vstatSB ; MARK_INACTIVE_VAR(vndx,-((int) vstat)) ; } } /* Walk the basis and install the constraints in order. When we're finished with this, the active system will be up and about. In the case where there's no active variable specification, some of the status information written into dy_origvars may have been overwritten; only variables with vstatNBFX are guaranteed to remain inactive. */ rngseen = FALSE ; for (bpos = 1 ; bpos <= orig_lp->basis->len ; bpos++) { cndx = orig_basis[bpos].cndx ; # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 2) dyio_outfmt(dy_logchn,dy_gtxecho, "\n activating %s %s (%d) in pos'n %d", consys_prtcontyp(orig_sys->ctyp[cndx]), consys_nme(orig_sys,'c',cndx,FALSE,NULL),cndx,bpos) ; # endif # ifdef DYLP_STATISTICS if (dy_stats != NULL) dy_stats->cons.init[cndx] = TRUE ; # endif if (dy_loadcon(orig_sys,cndx,noactvarspec,NULL) == FALSE) { errmsg(430,rtnnme, dy_sys->nme,dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters, "activate","constraint", consys_nme(orig_sys,'c',cndx,TRUE,NULL),cndx) ; return (dyrFATAL) ; } if (orig_sys->ctyp[cndx] == contypRNG) rngseen = TRUE ; } /* If we're in fullsys mode, repeat constraint installation actions for any cuts added after this basis was assembled. */ if (dy_opts->fullsys == TRUE) { for (cndx = orig_lp->basis->len+1 ; cndx <= orig_sys->concnt ; cndx++) { # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 2) dyio_outfmt(dy_logchn,dy_gtxecho, "\n activating %s %s (%d) in pos'n %d", consys_prtcontyp(orig_sys->ctyp[cndx]), consys_nme(orig_sys,'c',cndx,FALSE,NULL),cndx,cndx) ; # endif # ifdef DYLP_STATISTICS if (dy_stats != NULL) dy_stats->cons.init[cndx] = TRUE ; # endif if (dy_loadcon(orig_sys,cndx,noactvarspec,NULL) == FALSE) { errmsg(430,rtnnme, dy_sys->nme,dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters, "activate","constraint", consys_nme(orig_sys,'c',cndx,TRUE,NULL),cndx) ; return (dyrFATAL) ; } if (orig_sys->ctyp[cndx] == contypRNG) rngseen = TRUE ; } } # ifdef DYLP_PARANOIA /* Paranoid checks and informational print statements. */ if (dy_chkdysys(orig_sys) == FALSE) return (dyrINV) ; # endif # ifndef DYLP_NDEBUG if (dy_opts->print.setup >= 1) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n system %s has %d constraints, %d+%d variables", dy_sys->nme,dy_sys->concnt,dy_sys->archvcnt,dy_sys->logvcnt) ; dyio_outfmt(dy_logchn,dy_gtxecho, "\n %d constraints, %d variables remain inactive in system %s.", orig_sys->concnt-dy_sys->concnt,orig_sys->archvcnt-dy_sys->archvcnt, orig_sys->nme) ; if (dy_opts->print.setup >= 4) { nbfxcnt = 0 ; for (vndx = 1 ; vndx <= orig_sys->varcnt ; vndx++) { if (INACTIVE_VAR(vndx)) { vstat = (flags) (-dy_origvars[vndx]) ; switch (getflg(vstat,vstatSTATUS)) { case vstatNBUB: { xi = orig_sys->vub[vndx] ; break ; } case vstatNBLB: case vstatNBFX: { xi = orig_sys->vlb[vndx] ; break ; } case vstatNBFR: { xi = 0 ; break ; } default: { errmsg(433,rtnnme,dy_sys->nme, dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters, "inactive",consys_nme(orig_sys,'v',vndx,TRUE,NULL), vndx,dy_prtvstat(vstat)) ; return (dyrINV) ; } } if (xi != 0) { if (nbfxcnt == 0) dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tinactive variables with nonzero values:") ; nbfxcnt++ ; dyio_outfmt(dy_logchn,dy_gtxecho,"\n\t%s (%d) = %g, status %s", consys_nme(orig_sys,'v',vndx,FALSE,NULL),vndx,xi, dy_prtvstat(vstat)) ; } } } if (nbfxcnt == 0) dyio_outfmt(dy_logchn,dy_gtxecho, "\n\tall inactive variables are zero.") ; } } # endif /* Time to assemble the basis. Attach the basis and inverse basis vectors to the constraint system. consys_attach will initialise them to 0. */ if (consys_attach(dy_sys,CONSYS_COL, sizeof(int),(void **) &dy_basis) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"basis vector") ; return (dyrFATAL) ; } if (consys_attach(dy_sys,CONSYS_ROW, sizeof(int),(void **) &dy_var2basis) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"inverse basis vector") ; return (dyrFATAL) ; } # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 1) { if (dy_opts->print.setup == 0) dyio_outfmt(dy_logchn,dy_gtxecho, "\n %s: regenerating the basis ...",rtnnme) ; else dyio_outfmt(dy_logchn,dy_gtxecho, "\n regenerating the basis.",rtnnme) ; } # endif /* Load the basis. For variables, we need to translate architecturals using dy_origvars, and watch out for logicals (vndx = negative of associated constraint index). After all the paranoia, we finally update dy_basis and dy_var2basis. Because we loaded the constraints in the order they were listed in the basis, we should have that dycndx = bpos, hence dy_actcons[bpos] = cndx. If we're installing a basic variable, it should be active already. For architectural variables, the check is made in dy_origvars. For a logical, the associated constraint should be active, hence a non-zero entry in dy_origcons. For architecturals, we also check if there are any non-zero coefficients remaining in the column (who knows what the user has done to the constraint system). This rates a message if the print level is high enough, but the basis pacakge is capable of patching the basis. (Indeed, it's hard to do it correctly here.) */ # ifdef DYLP_PARANOIA pkcol = pkvec_new(0) ; retval = dyrOK ; # endif for (bpos = 1 ; bpos <= orig_lp->basis->len ; bpos++) { cndx = orig_basis[bpos].cndx ; dycndx = dy_origcons[cndx] ; vndx = orig_basis[bpos].vndx ; if (vndx < 0) { dyvndx = dy_origcons[-vndx] ; } else { dyvndx = dy_origvars[vndx] ; } # ifdef DYLP_PARANOIA if (dycndx <= 0) { errmsg(369,rtnnme,orig_sys->nme,"constraint", consys_nme(orig_sys,'c',cndx,FALSE,NULL),cndx, "cons",cndx,dycndx) ; retval = dyrINV ; break ; } if (dy_actcons[bpos] != cndx) { errmsg(370,rtnnme,dy_sys->nme, consys_nme(orig_sys,'c',cndx,FALSE,NULL),cndx,bpos, consys_nme(orig_sys,'c',dy_actcons[bpos],FALSE,NULL), dy_actcons[bpos]) ; if (dycndx != bpos) { errmsg(1,rtnnme,__LINE__) ; } retval = dyrINV ; break ; } if (vndx < 0) { if (dyvndx <= 0) { errmsg(369,rtnnme,orig_sys->nme,"constraint", consys_nme(orig_sys,'c',-vndx,FALSE,NULL),-vndx, "cons",-vndx,dyvndx) ; retval = dyrINV ; break ; } } else { if (dyvndx <= 0) { errmsg(369,rtnnme,orig_sys->nme,"variable", consys_nme(orig_sys,'v',vndx,FALSE,NULL),vndx, "vars",vndx,dyvndx) ; retval = dyrINV ; break ; } if (consys_getcol_pk(dy_sys,dyvndx,&pkcol) == FALSE) { errmsg(122,rtnnme,orig_sys->nme,"variable", consys_nme(orig_sys,'v',vndx,TRUE,NULL),vndx) ; retval = dyrFATAL ; break ; } if (pkcol->cnt == 0 && dy_opts->print.crash >= 4) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n %s (%d) has no non-zeros in active constraints.", consys_nme(dy_sys,'v',dyvndx,TRUE,NULL),dyvndx) ; } } # endif dy_basis[dycndx] = dyvndx ; dy_var2basis[dyvndx] = dycndx ; } /* If we're in fullsys mode, make the logical basic for any remaining constraints. */ if (dy_opts->fullsys == TRUE) { for ( ; bpos <= dy_sys->concnt ; bpos++) { dy_basis[bpos] = bpos ; dy_var2basis[bpos] = bpos ; } } # ifdef DYLP_PARANOIA pkvec_free(pkcol) ; if (retval != dyrOK) return (retval) ; # endif # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 4) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\t Pos'n Variable Constraint") ; for (bpos = 1 ; bpos <= orig_lp->basis->len ; bpos++) { vndx = dy_basis[bpos] ; dyio_outfmt(dy_logchn,dy_gtxecho,"\n\t %3d (%3d) %-15s",bpos,vndx, consys_nme(dy_sys,'v',vndx,FALSE,NULL)) ; dyio_outfmt(dy_logchn,dy_gtxecho,"%-15s", consys_nme(dy_sys,'c',bpos,FALSE,NULL)) ; } } # endif /* Factor the basis. We don't want any of the primal or dual variables calculated just yet. If this fails we're in deep trouble. Don't do this if we're dealing with a constraint system with no constraints! */ if (dy_sys->concnt > 0) { # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 2) dyio_outfmt(dy_logchn,dy_gtxecho,"\n factoring ...") ; # endif calcflgs = 0 ; retval = dy_factor(&calcflgs) ; switch (retval) { case dyrOK: case dyrPATCHED: { break ; } default: { errmsg(309,rtnnme,dy_sys->nme) ; return (retval) ; } } } /* Attach and clear the vectors which will hold the status, values of primal and dual variables, and reduced costs. */ if (consys_attach(dy_sys,CONSYS_ROW, sizeof(flags),(void **) &dy_status) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"status vector") ; return (dyrFATAL) ; } if (consys_attach(dy_sys,CONSYS_COL, sizeof(double),(void **) &dy_xbasic) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"basic variable vector") ; return (dyrFATAL) ; } if (consys_attach(dy_sys,CONSYS_ROW, sizeof(double),(void **) &dy_x) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"primal variable vector") ; return (dyrFATAL) ; } if (consys_attach(dy_sys,CONSYS_COL, sizeof(double),(void **) &dy_y) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"dual variable vector") ; return (dyrFATAL) ; } if (consys_attach(dy_sys,CONSYS_ROW, sizeof(double),(void **) &dy_cbar) == FALSE) { errmsg(100,rtnnme,dy_sys->nme,"reduced cost vector") ; return (dyrFATAL) ; } /* Calculate dual variables and reduced costs. Might as well make a try for a dual feasible start, eh? */ # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 2) dyio_outfmt(dy_logchn,dy_gtxecho,"\n calculating dual values ...") ; # endif dy_calcduals() ; if (dy_calccbar() == FALSE) { errmsg(384,rtnnme,dy_sys->nme, dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters) ; return (dyrFATAL) ; } /* Initialise dy_status for logicals, using dy_var2basis and dy_cbar as guides. We have to consider the type of constraint so that we can give artificials NBFX status (thus avoiding the issue of whether NBLB or NBUB gives dual feasibility), and so that we can check the sign of the associated reduced cost to determine the proper bound for the logical associated with a range constraint. */ vlb = dy_sys->vlb ; vub = dy_sys->vub ; # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 2) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n establishing initial status and reference frame ...") ; dyio_outfmt(dy_logchn,dy_gtxecho,"\n logicals ...") ; } # endif for (dyvndx = 1 ; dyvndx <= dy_sys->concnt ; dyvndx++) { if (dy_var2basis[dyvndx] != 0) { if (vub[dyvndx] == vlb[dyvndx]) dy_status[dyvndx] = vstatBFX ; else dy_status[dyvndx] = vstatB ; } else { switch (dy_sys->ctyp[dyvndx]) { case contypLE: case contypGE: { dy_status[dyvndx] = vstatNBLB ; dy_x[dyvndx] = 0 ; break ; } case contypEQ: { dy_status[dyvndx] = vstatNBFX ; dy_x[dyvndx] = 0 ; break ; } case contypRNG: { if (vub[dyvndx] == vlb[dyvndx]) { dy_status[dyvndx] = vstatNBFX ; dy_x[dyvndx] = vub[dyvndx] ; } else if (dy_cbar[dyvndx] < 0) { dy_status[dyvndx] = vstatNBUB ; dy_x[dyvndx] = vub[dyvndx] ; } else { dy_status[dyvndx] = vstatNBLB ; dy_x[dyvndx] = vlb[dyvndx] ; } break ; } default: { errmsg(1,rtnnme,__LINE__) ; return (dyrFATAL) ; } } } # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 4) { dyio_outfmt(dy_logchn,dy_gtxecho,"\n\t %s (%d) %s", consys_nme(dy_sys,'v',dyvndx,FALSE,NULL),dyvndx, dy_prtvstat(dy_status[dyvndx])) ; if (flgon(dy_status[dyvndx],vstatNONBASIC|vstatNBFR)) dyio_outfmt(dy_logchn,dy_gtxecho," with value %g.",dy_x[dyvndx]) ; else dyio_outchr(dy_logchn,dy_gtxecho,'.') ; } # endif } /* Scan dy_origvars, with two purposes in mind: * For active architectural variables, initialise dy_status from orig_status, using the actual status for nonbasic variables, and vstatB, vstatBFX, or vstatBFR for basic variables. (We'll tune this once we have the values of the basic variables.) Initialise dy_x to the proper value for nonbasic variables. We shouldn't see NBFX here, as those variables should have been left inactive. * For inactive architectural variables, accumulate the objective function correction. Nonbasic free variables are assumed to have value 0. */ # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 2) dyio_outfmt(dy_logchn,dy_gtxecho,"\n architecturals ...") ; # endif dy_lp->inactzcorr = 0 ; for (vndx = 1 ; vndx <= orig_sys->varcnt ; vndx++) { dyvndx = dy_origvars[vndx] ; if (dyvndx < 0) { obj = orig_sys->obj[vndx] ; switch ((flags) (-dyvndx)) { case vstatNBFX: case vstatNBLB: { dy_lp->inactzcorr += obj*orig_sys->vlb[vndx] ; break ; } case vstatNBUB: { dy_lp->inactzcorr += obj*orig_sys->vub[vndx] ; break ; } # ifdef DYLP_PARANOIA case vstatNBFR: { break ; } default: { errmsg(1,rtnnme,__LINE__) ; return (dyrINV) ; } # endif } } else { if (((int) orig_status[vndx]) < 0) { if (vlb[dyvndx] == vub[dyvndx]) dy_status[dyvndx] = vstatBFX ; else if (vlb[dyvndx] <= -dy_tols->inf && vub[dyvndx] >= dy_tols->inf) dy_status[dyvndx] = vstatBFR ; else dy_status[dyvndx] = vstatB ; } else { dy_status[dyvndx] = orig_status[vndx] ; switch (dy_status[dyvndx]) { case vstatNBLB: { dy_x[dyvndx] = vlb[dyvndx] ; break ; } case vstatNBUB: { dy_x[dyvndx] = vub[dyvndx] ; break ; } case vstatNBFR: { dy_x[dyvndx] = 0 ; break ; } # ifdef DYLP_PARANOIA default: { errmsg(1,rtnnme,__LINE__) ; return (dyrINV) ; } # endif } } # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 4) { dyio_outfmt(dy_logchn,dy_gtxecho,"\n\t %s (%d) %s", consys_nme(dy_sys,'v',dyvndx,FALSE,NULL),dyvndx, dy_prtvstat(dy_status[dyvndx])) ; if (flgon(dy_status[dyvndx],vstatNONBASIC|vstatNBFR)) dyio_outfmt(dy_logchn,dy_gtxecho," with value %g.",dy_x[dyvndx]) ; else dyio_outchr(dy_logchn,dy_gtxecho,'.') ; } # endif } } /* Did we patch the basis? If so, we need to scan the status array and correct the entries for the architectural variables that were booted out during the patch. */ if (retval == dyrPATCHED) correct_for_patch() ; /* Ok, status is set. Now it's time to calculate initial values for the primal variables and objective. Arguably we don't need the true objective for phase I, but it's cheap to calculate. Once we have the primal variables, adjust the status for any that are pinned against a bound or out of bounds, and see how it looks, in terms of primal infeasibility. */ # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 2) dyio_outfmt(dy_logchn,dy_gtxecho,"\n calculating primal values ...") ; # endif if (dy_calcprimals() == FALSE) { errmsg(316,rtnnme,dy_sys->nme) ; return (dyrFATAL) ; } dy_lp->z = dy_calcobj() ; dy_setfinalstatus() ; /* Make the check for primal and/or dual feasibility, and set the initial simplex phase accordingly. */ calcflgs = ladPRIMFEAS|ladPFQUIET|ladDUALFEAS|ladDFQUIET ; retval = dy_accchk(&calcflgs) ; if (retval != dyrOK) { errmsg(304,rtnnme,dy_sys->nme, dy_prtlpphase(dy_lp->phase,TRUE),dy_lp->tot.iters) ; return (retval) ; } if (flgoff(calcflgs,ladPRIMFEAS)) { dy_lp->simplex.next = dyPRIMAL2 ; } else if (flgoff(calcflgs,ladDUALFEAS)) { dy_lp->simplex.next = dyDUAL ; } else { dy_lp->simplex.next = dyPRIMAL1 ; } # ifndef DYLP_NDEBUG if (dy_opts->print.crash >= 2) { dyio_outfmt(dy_logchn,dy_gtxecho,"\n phase %s, initial objective %g", dy_prtlpphase(dy_lp->simplex.next,FALSE),dy_lp->z) ; if (dy_lp->infeascnt != 0) dyio_outfmt(dy_logchn,dy_gtxecho,", %d infeasible vars, infeas = %g", dy_lp->infeascnt,dy_lp->infeas) ; dyio_outchr(dy_logchn,dy_gtxecho,'.') ; } if (dy_opts->print.crash >= 3) { dyio_outfmt(dy_logchn,dy_gtxecho, "\n\nPos'n\tConstraint\tDual\t\tPrimal\n") ; for (bpos = 1 ; bpos <= dy_sys->concnt; bpos++) { cndx = dy_actcons[bpos] ; dyvndx = dy_basis[bpos] ; if (dyvndx <= dy_sys->concnt) vndx = orig_sys->varcnt+dyvndx ; else vndx = dy_actvars[dyvndx] ; dyio_outfmt(dy_logchn,dy_gtxecho, "\n%5d\t(%4d) %-8s\t%12.4g\t(%4d) %-8s %12.4g", bpos,cndx, consys_nme(dy_sys,'c',bpos,FALSE,NULL),dy_y[bpos],vndx, consys_nme(dy_sys,'v',dyvndx,FALSE,NULL),dy_x[dyvndx]) ; } } # endif return (dyrOK) ; }