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https://github.com/Z3Prover/z3
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preparing for inf extension of arithmetic
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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@ -43,9 +43,11 @@ Notes:
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#include "optimize_objectives.h"
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#include "opt_solver.h"
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#include "arith_decl_plugin.h"
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#include "smt_context.h"
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namespace opt {
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void optimize_objectives::set_cancel(bool f) {
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m_cancel = true;
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}
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@ -62,50 +64,29 @@ namespace opt {
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/*
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Enumerate locally optimal assignments until fixedpoint.
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*/
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lbool optimize_objectives::basic_opt(app_ref_vector& objectives, vector<inf_eps>& values)
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{
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ast_manager& m = objectives.get_manager();
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lbool optimize_objectives::basic_opt(app_ref_vector& objectives) {
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arith_util autil(m);
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s->reset_objectives();
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values.reset();
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m_lower.reset();
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m_upper.reset();
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// First check_sat call to initialize theories
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lbool is_sat = s->check_sat(0, 0);
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if (is_sat == l_false) {
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if (is_sat != l_true) {
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return is_sat;
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}
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opt_solver::scoped_push _push(*s);
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opt_solver::toggle_objective _t(*s, true);
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for (unsigned i = 0; i < objectives.size(); ++i) {
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s->add_objective(objectives[i].get());
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values.push_back(inf_eps(rational(-1),inf_rational(0)));
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m_lower.push_back(inf_eps(rational(-1),inf_rational(0)));
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m_upper.push_back(inf_eps(rational(1), inf_rational(0)));
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}
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is_sat = s->check_sat(0, 0);
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while (is_sat == l_true && !m_cancel) {
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set_max(values, s->get_objective_values());
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IF_VERBOSE(1,
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for (unsigned i = 0; i < values.size(); ++i) {
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verbose_stream() << values[i] << " ";
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}
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verbose_stream() << "\n";);
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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 < objectives.size(); ++i) {
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inf_eps const& v = values[i];
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disj.push_back(s->block_lower_bound(i, v));
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}
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constraint = m.mk_or(disj.size(), disj.c_ptr());
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s->assert_expr(constraint);
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is_sat = s->check_sat(0, 0);
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is_sat = update_lower();
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}
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if (m_cancel || is_sat == l_undef) {
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return l_undef;
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@ -113,13 +94,40 @@ namespace opt {
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return l_true;
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}
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lbool optimize_objectives::update_lower() {
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lbool is_sat = s->check_sat(0, 0);
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set_max(m_lower, s->get_objective_values());
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IF_VERBOSE(1,
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for (unsigned i = 0; i < m_lower.size(); ++i) {
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verbose_stream() << m_lower[i] << " ";
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}
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verbose_stream() << "\n";);
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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(s->block_lower_bound(i, v));
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}
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constraint = m.mk_or(disj.size(), disj.c_ptr());
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s->assert_expr(constraint);
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return is_sat;
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}
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lbool optimize_objectives::update_upper() {
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return l_undef;
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}
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/**
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Takes solver with hard constraints added.
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Returns an optimal assignment to objective functions.
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*/
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lbool optimize_objectives::operator()(opt_solver& solver, app_ref_vector& objectives, vector<inf_eps>& values) {
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s = &solver;
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return basic_opt(objectives, values);
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lbool result = basic_opt(objectives);
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values.reset();
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values.append(m_lower);
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return result;
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}
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}
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@ -31,6 +31,8 @@ namespace opt {
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ast_manager& m;
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opt_solver* s;
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volatile bool m_cancel;
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vector<inf_eps> m_lower;
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vector<inf_eps> m_upper;
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public:
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optimize_objectives(ast_manager& m): m(m), s(0), m_cancel(false) {}
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@ -40,10 +42,14 @@ namespace opt {
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private:
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lbool basic_opt(app_ref_vector& objectives, vector<inf_eps>& values);
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lbool basic_opt(app_ref_vector& objectives);
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void set_max(vector<inf_eps>& dst, vector<inf_eps> const& src);
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lbool update_lower();
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lbool update_upper();
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};
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};
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@ -25,5 +25,6 @@ namespace smt {
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template class theory_arith<i_ext>;
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// template class theory_arith<si_ext>;
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// template class theory_arith<smi_ext>;
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// TBD: template class smt::theory_arith<inf_ext>;
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};
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@ -1121,11 +1121,33 @@ namespace smt {
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}
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smi_ext() : m_int_epsilon(s_integer(1)), m_real_epsilon(s_integer(0), true) {}
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};
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class inf_ext {
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public:
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typedef rational numeral;
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typedef inf_eps_rational<inf_rational> inf_numeral;
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inf_numeral m_int_epsilon;
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inf_numeral m_real_epsilon;
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numeral fractional_part(inf_numeral const& n) {
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SASSERT(n.is_rational());
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return n.get_rational() - floor(n);
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}
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static numeral fractional_part(numeral const & n) {
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return n - floor(n);
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}
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static inf_numeral mk_inf_numeral(numeral const & n, numeral const & r) {
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return inf_numeral(inf_rational(n, r));
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}
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inf_ext() : m_int_epsilon(inf_rational(rational(1))), m_real_epsilon(inf_rational(rational(0), true)) {}
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};
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typedef theory_arith<mi_ext> theory_mi_arith;
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typedef theory_arith<i_ext> theory_i_arith;
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typedef smt::theory_arith<inf_ext> theory_inf_arith;
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// typedef theory_arith<si_ext> theory_si_arith;
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// typedef theory_arith<smi_ext> theory_smi_arith;
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};
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@ -143,16 +143,28 @@ class inf_eps_rational {
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return m_infty;
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}
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static const inf_eps_rational & zero() {
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return inf_eps_rational(Numeral::zero());
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}
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static const inf_eps_rational & one() {
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return inf_eps_rational(Numeral::one());
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}
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static const inf_eps_rational & minus_one() {
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return inf_eps_rational(Numeral::minus_one());
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}
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inf_eps_rational & operator=(const inf_eps_rational & r) {
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m_infty = r.m_infty;
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m_r = r.m_r;
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return *this;
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}
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inf_eps_rational & operator=(const rational & r) {
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inf_eps_rational & operator=(const Numeral & r) {
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m_infty.reset();
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m_r = r;
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return *this;
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return *this;
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}
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inf_eps_rational & operator+=(const inf_eps_rational & r) {
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@ -88,7 +88,7 @@ class inf_rational {
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m_second(pos_inf?rational(1):rational(-1))
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{}
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explicit inf_rational(rational const& r):
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inf_rational(rational const& r):
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m_first(r)
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{
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m_second.reset();
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