int process_main(OpenSMTContext & ctx,
config const & config,
vector<Enode *> const & costs,
unordered_map<string, Enode*> var_map,
vector<Enode *> const & ctrs_X) {
// minimize cost_i(x)
// satisfying ctr_j(x)
//
// exists x. ctr(x) /\ forall y. [ctr(y) -> (cost(x) <= cost(y))]
// exists x. ctr(x) /\ forall y. [!ctr(y) \/ (cost(x) <= cost(y))]
// exists x, min_1, ..., min_n.
// /\ cost_i(x) = min_i
// i
//
// /\ ctr_j(x)
// j
//
// /\ forall y. [\/ !ctr_j(y) \/ min_i <= cost_i(y))]
// j i
vector<Enode *> or_ctrs;
for (Enode * ctr_X : ctrs_X) {
Enode * ctr_not_Y = ctx.mkNot(ctx.mkCons(subst_exist_vars_to_univerally_quantified(ctx, var_map, ctr_X))); // ctr(y)
or_ctrs.push_back(ctr_not_Y);
}
vector<Enode*> eq_costs;
for (unsigned i = 0; i < costs.size(); ++i) {
Enode * min_var_i = make_min_var(ctx, var_map, i); // min
Enode * eq_cost = make_eq_cost(ctx, costs[i], min_var_i); // cost_i(x) = min_i
Enode * leq_cost = make_leq_cost(ctx, var_map, costs[i], min_var_i); // min <= costs[0](y)
eq_costs.push_back(eq_cost);
or_ctrs.push_back(leq_cost);
}
// !ctr_1(y) \/ ... \/ !ctr_m(y) \/ (min_1 <= costs_1(y) ... \/ (min_n <= costs_n(y)
Enode * or_term = ctx.mkOr(make_vec_to_list(ctx, or_ctrs));
vector<pair<string, Snode *>> sorted_var_list;
for (Enode * e : or_term->get_forall_vars()) {
pair<string, Snode *> p = make_pair(e->getCar()->getName(), e->getSort());
sorted_var_list.push_back(p);
}
Enode * quantified = ctx.mkForall(sorted_var_list, or_term);
cout << "Precision : " << ctx.getPrecision() << endl;
for (auto var : var_map) {
cout << "Variable : " << var.first
<< " in [" << var.second->getDomainLowerBound() << ", "
<< var.second->getDomainUpperBound() << "]" << endl;
}
for (Enode * cost : costs) {
cout << "Minimize : " << cost << endl;
}
for (Enode * ctr_X : ctrs_X) {
cout << "Constraint : " << ctr_X << endl;
}
for (Enode * eq_cost : eq_costs) {
ctx.Assert(eq_cost);
}
for (Enode * ctr_X : ctrs_X) {
ctx.Assert(ctr_X);
}
ctx.Assert(quantified);
auto result = ctx.CheckSAT();
cout << "Result : ";
if (result == l_True) {
cout << "delta-sat" << endl;
print_result(var_map);
if (config.get_save_visualization()) {
string vis_filename = config.get_filename() + ".py";
ofstream of(vis_filename);
// TODO(soonhok): generalize for a multi-obj case
save_visualization_code(of, costs[0], var_map, config.get_vis_cell(), "min_0");
cout << "Visualization Code is saved at " << vis_filename << endl;
}
if (config.get_run_visualization()) {
// TODO(soonhok): generalize for a multi-obj case
run_visualization(costs[0], var_map, config.get_vis_cell(), "min_0");
}
} else {
cout << "unsat" << endl;
}
return 0;
}
