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https://github.com/Z3Prover/z3
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integrating diff opt
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
80ba830091
commit
99b4ce037d
10 changed files with 67 additions and 59 deletions
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@ -312,18 +312,17 @@ namespace opt {
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mk_simplify_tactic(m));
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tactic_ref tac2 = mk_elim01_tactic(m);
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tactic_ref tac3 = mk_lia2card_tactic(m);
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tactic_ref tac;
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opt_params optp(m_params);
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if (optp.elim_01()) {
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tac = and_then(tac0.get(), tac2.get(), tac3.get());
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m_simplify = and_then(tac0.get(), tac2.get(), tac3.get());
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}
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else {
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tac = tac0.get();
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m_simplify = tac0.get();
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}
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proof_converter_ref pc;
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expr_dependency_ref core(m);
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goal_ref_buffer result;
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(*tac)(g, result, m_model_converter, pc, core); // TBD: have this an attribute so we can cancel.
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(*m_simplify)(g, result, m_model_converter, pc, core);
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SASSERT(result.size() == 1);
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goal* r = result[0];
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fmls.reset();
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@ -708,6 +707,9 @@ namespace opt {
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if (m_solver) {
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m_solver->set_cancel(f);
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}
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if (m_simplify) {
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m_simplify->set_cancel(f);
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}
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m_optsmt.set_cancel(f);
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map_t::iterator it = m_maxsmts.begin(), end = m_maxsmts.end();
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for (; it != end; ++it) {
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@ -719,6 +721,9 @@ namespace opt {
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if (m_solver) {
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m_solver->collect_statistics(stats);
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}
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if (m_simplify) {
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m_simplify->collect_statistics(stats);
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}
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map_t::iterator it = m_maxsmts.begin(), end = m_maxsmts.end();
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for (; it != end; ++it) {
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it->m_value->collect_statistics(stats);
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@ -30,6 +30,7 @@ Notes:
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#include "optsmt.h"
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#include "maxsmt.h"
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#include "model_converter.h"
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#include "tactic.h"
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namespace opt {
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@ -89,6 +90,7 @@ namespace opt {
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obj_map<func_decl, unsigned> m_objective_fns;
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obj_map<func_decl, expr*> m_objective_orig;
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func_decl_ref_vector m_objective_refs;
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tactic_ref m_simplify;
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public:
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context(ast_manager& m);
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~context();
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@ -133,15 +133,17 @@ namespace opt {
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return r;
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}
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void opt_solver::maximize_objectives() {
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void opt_solver::maximize_objectives(expr_ref_vector& blockers) {
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expr_ref blocker(m);
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for (unsigned i = 0; i < m_objective_vars.size(); ++i) {
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maximize_objective(i);
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maximize_objective(i, blocker);
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blockers.push_back(blocker);
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}
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}
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void opt_solver::maximize_objective(unsigned i) {
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void opt_solver::maximize_objective(unsigned i, expr_ref& blocker) {
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smt::theory_var v = m_objective_vars[i];
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m_objective_values[i] = get_optimizer().maximize(v);
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m_objective_values[i] = get_optimizer().maximize(v, blocker);
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m_context.get_context().update_model();
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TRACE("opt", { model_ref mdl; get_model(mdl); model_smt2_pp(tout << "update model: ", m, *mdl, 0); });
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}
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@ -231,20 +233,7 @@ namespace opt {
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// difference logic?
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return expr_ref(m.mk_true(), m);
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}
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expr_ref opt_solver::mk_gt(unsigned var, inf_eps const& val) {
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if (val.get_infinity().is_pos()) {
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return expr_ref(m.mk_false(), m);
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}
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else if (val.get_infinity().is_neg()) {
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return expr_ref(m.mk_true(), m);
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}
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else {
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inf_rational n = val.get_numeral();
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return expr_ref(get_optimizer().mk_gt(m_objective_vars[var], n), m);
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}
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}
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}
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void opt_solver::reset_objectives() {
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m_objective_vars.reset();
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@ -75,12 +75,11 @@ namespace opt {
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smt::theory_var add_objective(app* term);
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void reset_objectives();
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void maximize_objective(unsigned i);
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void maximize_objectives();
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void maximize_objective(unsigned i, expr_ref& blocker);
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void maximize_objectives(expr_ref_vector& blockers);
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vector<inf_eps> const& get_objective_values();
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inf_eps const & get_objective_value(unsigned obj_index);
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expr_ref mk_gt(unsigned obj_index, inf_eps const& val);
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expr_ref mk_ge(unsigned obj_index, inf_eps const& val);
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filter_model_converter& mc() { return m_fm; }
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@ -124,7 +124,8 @@ namespace opt {
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}
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void optsmt::update_lower() {
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m_s->maximize_objectives();
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expr_ref_vector disj(m);
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m_s->maximize_objectives(disj);
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m_s->get_model(m_model);
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set_max(m_lower, m_s->get_objective_values());
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IF_VERBOSE(1,
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@ -134,13 +135,7 @@ namespace opt {
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verbose_stream() << "\n";
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model_pp(verbose_stream(), *m_model);
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);
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expr_ref_vector disj(m);
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expr_ref constraint(m);
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for (unsigned i = 0; i < m_lower.size(); ++i) {
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inf_eps const& v = m_lower[i];
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disj.push_back(m_s->mk_gt(i, v));
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}
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expr_ref constraint(m);
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constraint = m.mk_or(disj.size(), disj.c_ptr());
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m_s->assert_expr(constraint);
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}
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@ -237,25 +232,23 @@ namespace opt {
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lbool optsmt::basic_lex(unsigned obj_index) {
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lbool is_sat = l_true;
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expr_ref block(m);
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expr_ref block(m), tmp(m);
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while (is_sat == l_true && !m_cancel) {
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is_sat = m_s->check_sat(0, 0);
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if (is_sat != l_true) break;
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m_s->maximize_objective(obj_index);
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m_s->maximize_objective(obj_index, block);
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m_s->get_model(m_model);
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inf_eps obj = m_s->get_objective_value(obj_index);
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if (obj > m_lower[obj_index]) {
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m_lower[obj_index] = obj;
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IF_VERBOSE(1, verbose_stream() << "(optsmt lower bound: " << obj << ")\n";);
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for (unsigned i = obj_index+1; i < m_vars.size(); ++i) {
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m_s->maximize_objective(i);
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m_s->maximize_objective(i, tmp);
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m_lower[i] = m_s->get_objective_value(i);
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}
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}
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block = m_s->mk_gt(obj_index, obj);
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m_s->assert_expr(block);
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// TBD: only works for simplex
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@ -289,14 +282,13 @@ namespace opt {
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is_sat = m_s->check_sat(0, 0);
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if (is_sat != l_true) break;
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was_sat = true;
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m_s->maximize_objective(obj_index);
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m_s->maximize_objective(obj_index, block);
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m_s->get_model(m_model);
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inf_eps obj = m_s->get_objective_value(obj_index);
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if (obj > m_lower[obj_index]) {
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m_lower[obj_index] = obj;
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IF_VERBOSE(1, verbose_stream() << "(optsmt lower bound: " << obj << ")\n";);
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}
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block = m_s->mk_gt(obj_index, obj);
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m_s->assert_expr(block);
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}
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@ -347,10 +339,12 @@ namespace opt {
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inf_eps optsmt::get_lower(unsigned i) const {
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if (i >= m_lower.size()) return inf_eps();
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return m_lower[i];
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}
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inf_eps optsmt::get_upper(unsigned i) const {
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if (i >= m_upper.size()) return inf_eps();
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return m_upper[i];
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}
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@ -998,9 +998,8 @@ namespace smt {
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// Optimization
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//
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// -----------------------------------
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virtual inf_eps_rational<inf_rational> maximize(theory_var v);
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virtual inf_eps_rational<inf_rational> maximize(theory_var v, expr_ref& blocker);
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virtual theory_var add_objective(app* term);
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virtual expr* mk_gt(theory_var v, inf_rational const& val);
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virtual expr* mk_ge(filter_model_converter& fm, theory_var v, inf_numeral const& val);
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void enable_record_conflict(expr* bound);
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void record_conflict(unsigned num_lits, literal const * lits,
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@ -1008,6 +1007,8 @@ namespace smt {
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unsigned num_params, parameter* params);
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inf_eps_rational<inf_rational> conflict_minimize();
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private:
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virtual expr_ref mk_gt(theory_var v);
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bool_var m_bound_watch;
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inf_eps_rational<inf_rational> m_upper_bound;
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bool get_theory_vars(expr * n, uint_set & vars);
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@ -1065,13 +1065,17 @@ namespace smt {
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}
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template<typename Ext>
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inf_eps_rational<inf_rational> theory_arith<Ext>::maximize(theory_var v) {
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inf_eps_rational<inf_rational> theory_arith<Ext>::maximize(theory_var v, expr_ref& blocker) {
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TRACE("opt", tout << "data-size: " << m_data.size() << "\n";);
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max_min_t r = max_min(v, true);
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if (r == UNBOUNDED) {
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blocker = get_manager().mk_false();
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return inf_eps_rational<inf_rational>::infinity();
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}
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return inf_eps_rational<inf_rational>(get_value(v));
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else {
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blocker = mk_gt(v);
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return inf_eps_rational<inf_rational>(get_value(v));
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}
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}
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@ -1081,8 +1085,9 @@ namespace smt {
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for the theory of aritmetic.
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*/
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template<typename Ext>
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expr* theory_arith<Ext>::mk_gt(theory_var v, inf_rational const& val) {
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expr_ref theory_arith<Ext>::mk_gt(theory_var v) {
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ast_manager& m = get_manager();
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inf_numeral const& val = get_value(v);
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expr* obj = get_enode(v)->get_owner();
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expr_ref e(m);
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rational r = val.get_rational();
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r = ceil(r);
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}
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e = m_util.mk_numeral(r, m.get_sort(obj));
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return m_util.mk_ge(obj, e);
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e = m_util.mk_ge(obj, e);
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}
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else {
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// obj is over the reals.
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e = m_util.mk_numeral(r, m.get_sort(obj));
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if (val.get_infinitesimal().is_neg()) {
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return m_util.mk_ge(obj, e);
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e = m_util.mk_ge(obj, e);
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}
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else {
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return m_util.mk_gt(obj, e);
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e = m_util.mk_gt(obj, e);
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}
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}
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return e;
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}
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/**
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@ -308,9 +308,9 @@ namespace smt {
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//
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// -----------------------------------
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virtual inf_eps_rational<inf_rational> maximize(theory_var v);
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virtual inf_eps_rational<inf_rational> maximize(theory_var v, expr_ref& blocker);
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virtual theory_var add_objective(app* term);
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virtual expr* mk_gt(theory_var v, inf_rational const& val);
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virtual expr_ref mk_gt(theory_var v, inf_rational const& val);
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virtual expr* mk_ge(theory_var v, inf_rational const& val) { return 0; }
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bool internalize_objective(expr * n, rational const& m, rational& r, objective_term & objective);
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@ -999,10 +999,11 @@ void theory_diff_logic<Ext>::get_implied_bound_antecedents(edge_id bridge_edge,
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}
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template<typename Ext>
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inf_eps_rational<inf_rational> theory_diff_logic<Ext>::maximize(theory_var v) {
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inf_eps_rational<inf_rational> theory_diff_logic<Ext>::maximize(theory_var v, expr_ref& blocker) {
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typedef simplex::simplex<simplex::mpq_ext> Simplex;
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Simplex S;
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ast_manager& m = get_manager();
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objective_term const& objective = m_objectives[v];
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IF_VERBOSE(1,
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// optimize
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lbool is_sat = S.make_feasible();
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if (is_sat == l_undef) {
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blocker = m.mk_false();
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return inf_eps_rational<inf_rational>::infinity();
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}
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TRACE("opt", S.display(tout); );
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TRACE("opt", S.display(tout); );
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SASSERT(is_sat != l_false);
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lbool is_fin = S.minimize(w);
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switch (is_fin) {
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case l_true: {
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simplex::mpq_ext::eps_numeral const& val = S.get_value(w);
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inf_rational r(-rational(val.first), -rational(val.second));
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TRACE("opt", tout << r << " " << "\n"; );
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TRACE("opt", tout << r << " " << "\n";
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S.display_row(tout, row, true););
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Simplex::row_iterator it = S.row_begin(row), end = S.row_end(row);
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S.display_row(std::cout, row, true);
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expr_ref_vector& core = m_objective_assignments[v];
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expr_ref tmp(m);
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core.reset();
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for (; it != end; ++it) {
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unsigned v = it->m_var;
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if (num_nodes <= v && v < num_nodes + num_edges) {
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unsigned edge_id = v - num_nodes;
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literal lit = m_graph.get_explanation(edge_id);
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std::cout << lit << "\n";
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get_context().literal2expr(lit, tmp);
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core.push_back(tmp);
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}
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}
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blocker = mk_gt(v, r);
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return inf_eps_rational<inf_rational>(rational(0), r);
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}
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default:
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TRACE("opt", tout << "unbounded\n"; );
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blocker = m.mk_false();
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return inf_eps_rational<inf_rational>::infinity();
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}
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}
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@ -1135,7 +1143,9 @@ expr_ref theory_diff_logic<Ext>::block_objective(theory_var v, inf_rational cons
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}
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else {
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//
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f = m.mk_true();
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expr_ref_vector const& core = m_objective_assignments[v];
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f = m.mk_not(m.mk_and(core.size(), core.c_ptr()));
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TRACE("arith", tout << "block: " << f << "\n";);
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return f;
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}
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@ -1152,8 +1162,10 @@ expr_ref theory_diff_logic<Ext>::block_objective(theory_var v, inf_rational cons
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}
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template<typename Ext>
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expr* theory_diff_logic<Ext>::mk_gt(theory_var v, inf_rational const& val) {
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expr_ref theory_diff_logic<Ext>::mk_gt(theory_var v, inf_rational const& val) {
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expr_ref o = block_objective(v, val);
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return o;
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#if 0
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context & ctx = get_context();
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model_ref mdl;
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ctx.get_model(mdl);
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@ -1162,6 +1174,7 @@ expr* theory_diff_logic<Ext>::mk_gt(theory_var v, inf_rational const& val) {
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model_implicant impl_extractor(m);
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expr_ref_vector implicants = impl_extractor.minimize_literals(formulas, mdl);
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return m.mk_and(o, m.mk_not(m.mk_and(implicants.size(), implicants.c_ptr())));
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#endif
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}
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template<typename Ext>
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@ -29,9 +29,8 @@ namespace smt {
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class theory_opt {
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public:
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typedef inf_eps_rational<inf_rational> inf_eps;
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virtual inf_eps maximize(theory_var v) { UNREACHABLE(); return inf_eps::infinity(); }
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virtual inf_eps maximize(theory_var v, expr_ref& blocker) = 0; // { UNREACHABLE(); return inf_eps::infinity(); }
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virtual theory_var add_objective(app* term) { UNREACHABLE(); return null_theory_var; }
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virtual expr* mk_gt(theory_var v, inf_rational const& val) { UNREACHABLE(); return 0; }
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virtual expr* mk_ge(filter_model_converter& fm, theory_var v, inf_eps const& val) { UNREACHABLE(); return 0; }
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};
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}
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