mirror of
https://github.com/Z3Prover/z3
synced 2025-04-10 19:27:06 +00:00
v2 of dual maxres engine
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
622d8b5cd1
commit
d429e72e92
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@ -89,7 +89,7 @@ public:
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m_solver.pop_to_base_level();
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dep2asm_t dep2asm;
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m_model.reset();
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m_model = 0;
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lbool r = internalize_formulas();
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if (r != l_true) return r;
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r = internalize_assumptions(num_assumptions, assumptions, dep2asm);
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@ -161,7 +161,7 @@ public:
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r.append(m_core.size(), m_core.c_ptr());
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}
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virtual void get_model(model_ref & m) {
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if (!m_model) {
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if (!m_model.get()) {
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extract_model();
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}
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m = m_model;
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@ -275,6 +275,7 @@ private:
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// bit-blasting model converter.
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void extract_model() {
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TRACE("sat", tout << "retrieve model\n";);
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model_ref md = alloc(model, m);
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sat::model const & ll_m = m_solver.get_model();
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atom2bool_var::iterator it = m_map.begin();
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@ -300,6 +301,7 @@ private:
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if (m_mc) {
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(*m_mc)(m_model);
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}
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SASSERT(m_model);
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// IF_VERBOSE(0, model_smt2_pp(verbose_stream(), m, *(m_model.get()), 0););
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}
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@ -58,10 +58,10 @@ Notes:
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#include "maxres.h"
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#include "ast_pp.h"
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#include "mus.h"
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#include "mss.h"
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using namespace opt;
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class maxres : public maxsmt_solver_base {
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public:
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enum strategy_t {
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@ -75,8 +75,10 @@ private:
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obj_map<expr, rational> m_asm2weight;
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ptr_vector<expr> m_new_core;
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mus m_mus;
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mss m_mss;
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expr_ref_vector m_trail;
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strategy_t m_st;
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rational m_max_upper;
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public:
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maxres(ast_manager& m, opt_solver* s, params_ref& p,
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@ -85,6 +87,7 @@ public:
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maxsmt_solver_base(s, m, p, ws, soft),
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m_B(m), m_asms(m),
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m_mus(m_s, m),
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m_mss(m_s, m),
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m_trail(m),
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m_st(st)
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{
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@ -168,7 +171,6 @@ public:
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default:
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break;
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}
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IF_VERBOSE(1, verbose_stream() << "(opt.max_res [" << m_lower << ":" << m_upper << "])\n";);
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}
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return l_true;
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}
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@ -179,8 +181,7 @@ public:
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init_local();
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enable_bvsat();
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enable_sls();
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lbool was_sat = l_false;
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ptr_vector<expr> soft_compl;
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ptr_vector<expr> mcs;
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vector<ptr_vector<expr> > cores;
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while (m_lower < m_upper) {
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TRACE("opt",
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@ -189,37 +190,38 @@ public:
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tout << "\n";
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display(tout);
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);
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lbool is_sat = m_s->check_sat(0, 0);
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lbool is_sat = try_improve_bound(cores, mcs);
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if (m_cancel) {
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return l_undef;
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}
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if (is_sat == l_true) {
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was_sat = l_true;
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is_sat = extend_model(soft_compl);
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switch (is_sat) {
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case l_undef:
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break;
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case l_false:
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is_sat = process_unsat();
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break;
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case l_true:
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is_sat = process_sat(soft_compl);
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break;
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}
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}
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switch (is_sat) {
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case l_undef:
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return l_undef;
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case l_false:
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SASSERT(cores.empty() && mcs.empty());
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m_lower = m_upper;
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return was_sat;
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case l_true:
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return l_true;
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case l_true:
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SASSERT(cores.empty() || mcs.empty());
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SASSERT(!cores.empty() || !mcs.empty());
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for (unsigned i = 0; is_sat == l_true && i < cores.size(); ++i) {
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is_sat = process_unsat(cores[i]);
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}
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if (is_sat == l_true && !mcs.empty()) {
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is_sat = process_sat(mcs);
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}
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if (is_sat != l_true) {
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return is_sat;
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}
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break;
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}
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}
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return was_sat;
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m_lower = m_lower;
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return l_true;
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}
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lbool mss_solver() {
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NOT_IMPLEMENTED_YET();
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return l_undef;
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@ -314,6 +316,7 @@ public:
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fml = m.mk_not(m.mk_and(m_B.size(), m_B.c_ptr()));
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m_s->assert_expr(fml);
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m_lower += w;
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IF_VERBOSE(1, verbose_stream() << "(opt.maxres [" << m_lower << ":" << m_upper << "])\n";);
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return l_true;
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}
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@ -422,6 +425,7 @@ public:
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// cs is a correction set (a complement of a (maximal) satisfying assignment).
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void cs_max_resolve(ptr_vector<expr>& cs, rational const& w) {
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TRACE("opt", display_vec(tout << "correction set: ", cs.size(), cs.c_ptr()););
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SASSERT(!cs.empty());
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expr_ref fml(m), asum(m);
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app_ref cls(m), d(m), dd(m);
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// asm => b_i
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// asm => d_{i-1} or b_{i-1}
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// d_i => d_{i-1} or b_{i-1}
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//
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for (unsigned i = 1; i < cs.size(); ++i) {
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expr* b_i = m_B[i-1].get();
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expr* b_i1 = m_B[i].get();
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@ -460,82 +465,89 @@ public:
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m_s->assert_expr(fml);
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}
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//
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// The hard constraints are satisfiable.
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// Extend the current model to satisfy as many
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// soft constraints as possible until either
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// hitting an unsatisfiable subset of size < 1/2*#assumptions,
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// or producing a maximal satisfying assignment exceeding
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// number of soft constraints >= 1/2*#assumptions.
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// In both cases, soft constraints that are not satisfied
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// is <= 1/2*#assumptions. In this way, the new modified assumptions
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// account for at most 1/2 of the current assumptions.
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// The core reduction algorithms also need to take into account
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// at most 1/2 of the assumptions for minimization.
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//
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lbool extend_model(ptr_vector<expr>& soft_compl) {
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ptr_vector<expr> asms;
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model_ref mdl;
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expr_ref tmp(m);
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m_s->get_model(mdl);
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unsigned num_true = update_model(mdl, asms, soft_compl);
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for (unsigned j = 0; j < m_asms.size(); ++j) {
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expr* fml = m_asms[j].get();
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VERIFY(mdl->eval(fml, tmp));
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if (m.is_false(tmp)) {
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asms.push_back(fml);
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lbool is_sat = m_s->check_sat(asms.size(), asms.c_ptr());
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asms.pop_back();
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switch (is_sat) {
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case l_false:
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if (num_true*2 < m_asms.size()) {
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return l_false;
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}
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break;
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case l_true:
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m_s->get_model(mdl);
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num_true = update_model(mdl, asms, soft_compl);
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break;
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case l_undef:
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return l_undef;
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lbool try_improve_bound(vector<ptr_vector<expr> >& cores, ptr_vector<expr>& mcs) {
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cores.reset();
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mcs.reset();
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ptr_vector<expr> core;
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expr_ref_vector asms(m_asms);
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while (true) {
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rational upper = m_max_upper;
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unsigned sz = 0;
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for (unsigned i = 0; m_upper <= upper && i < asms.size(); ++i, ++sz) {
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upper -= get_weight(asms[i].get());
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}
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lbool is_sat = m_s->check_sat(sz, asms.c_ptr());
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switch (is_sat) {
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case l_true: {
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ptr_vector<expr> lits;
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lits.append(asms.size(), asms.c_ptr());
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set_mus(false);
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is_sat = m_mss(cores, lits);
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set_mus(true);
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if (is_sat != l_true) {
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return is_sat;
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}
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m_mss.get_model(m_model); // last model is best way to reduce search space.
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update_assignment();
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if (cores.empty() || asms.size() < cores.back().size()) {
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cores.reset();
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mcs.append(asms.size(), asms.c_ptr());
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}
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return l_true;
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}
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case l_undef:
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return l_undef;
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case l_false:
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core.reset();
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m_s->get_unsat_core(core);
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is_sat = minimize_core(core);
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if (is_sat != l_true) {
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break;
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}
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if (core.empty()) {
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cores.reset();
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mcs.reset();
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return l_false;
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}
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cores.push_back(core);
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if (core.size() >= 3) {
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return l_true;
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}
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//
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// check arithmetic: cannot improve upper bound
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//
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if (m_upper <= upper) {
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return l_true;
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}
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remove_soft(core, asms);
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break;
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}
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}
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return l_true;
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return l_undef;
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}
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unsigned update_model(model_ref& mdl, ptr_vector<expr>& asms, ptr_vector<expr>& soft_compl) {
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expr_ref tmp(m);
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asms.reset();
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soft_compl.reset();
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rational weight = m_lower;
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unsigned num_true = 0;
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for (unsigned i = 0; i < m_asms.size(); ++i) {
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expr* fml = m_asms[i].get();
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VERIFY(mdl->eval(fml, tmp));
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SASSERT(m.is_false(tmp) || m.is_true(tmp));
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if (m.is_false(tmp)) {
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weight += get_weight(fml);
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soft_compl.push_back(fml);
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}
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else {
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++num_true;
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asms.push_back(fml);
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void update_assignment() {
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rational upper(0);
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for (unsigned i = 0; i < m_soft.size(); ++i) {
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expr_ref tmp(m);
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expr* n = m_soft[i].get();
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VERIFY(m_model->eval(n, tmp));
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CTRACE("opt", !m.is_true(tmp) && !m.is_false(tmp),
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tout << mk_pp(n, m) << " |-> " << mk_pp(tmp, m) << "\n";);
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m_assignment[i] = m.is_true(tmp);
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if (!m_assignment[i]) {
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upper += m_weights[i];
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}
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}
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if (weight < m_upper) {
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m_upper = weight;
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m_model = mdl;
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for (unsigned i = 0; i < m_soft.size(); ++i) {
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expr_ref tmp(m);
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VERIFY(m_model->eval(m_soft[i].get(), tmp));
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m_assignment[i] = m.is_true(tmp);
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}
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IF_VERBOSE(1, verbose_stream() <<
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"(opt.mus-mss_max_res [" << m_lower << ":" << m_upper << "])\n";);
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}
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return num_true;
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SASSERT(upper <= m_upper);
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m_upper = upper;
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IF_VERBOSE(1, verbose_stream() <<
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"(opt.maxres [" << m_lower << ":" << m_upper << "])\n";);
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}
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void remove_soft(ptr_vector<expr> const& core, expr_ref_vector& asms) {
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@ -564,6 +576,7 @@ public:
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for (unsigned i = 0; i < m_soft.size(); ++i) {
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add_soft(m_soft[i].get(), m_weights[i]);
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}
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m_max_upper = m_upper;
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}
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};
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@ -138,8 +138,6 @@ namespace opt {
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m_s = sat_solver;
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}
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void maxsmt_solver_base::enable_bvsat() {
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if (m_enable_sat && !m_sat_enabled && probe_bv()) {
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enable_inc_bvsat();
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@ -159,6 +157,12 @@ namespace opt {
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}
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}
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void maxsmt_solver_base::set_mus(bool f) {
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params_ref p;
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p.set_bool("minimize_core", f);
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m_s->updt_params(p);
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}
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app* maxsmt_solver_base::mk_fresh_bool(char const* name) {
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app* result = m.mk_fresh_const(name, m.mk_bool_sort());
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m_mc->insert(result->get_decl());
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@ -94,6 +94,7 @@ namespace opt {
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void init();
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expr* mk_not(expr* e);
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bool probe_bv();
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void set_mus(bool f);
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void enable_bvsat();
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void enable_sls();
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app* mk_fresh_bool(char const* name);
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166
src/opt/mss.cpp
166
src/opt/mss.cpp
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namespace opt {
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mss::mss(solver& s, ast_manager& m): s(s), m(m), m_cancel(false) {
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mss::mss(ref<solver>& s, ast_manager& m): m_s(s), m(m), m_cancel(false) {
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}
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mss::~mss() {
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}
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}
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void mss::check_parameters(vector<exprs > const& cores, exprs& literals) {
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bool mss::check_result() {
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lbool is_sat = m_s->check_sat(m_mss.size(), m_mss.c_ptr());
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if (is_sat == l_undef) return true;
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SASSERT(is_sat == l_true);
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if (is_sat == l_false) return false;
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expr_set::iterator it = m_mcs.begin(), end = m_mcs.end();
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for (; it != end; ++it) {
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m_mss.push_back(*it);
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is_sat = m_s->check_sat(m_mss.size(), m_mss.c_ptr());
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m_mss.pop_back();
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if (is_sat == l_undef) return true;
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SASSERT(is_sat == l_false);
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if (is_sat == l_true) return false;
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}
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return true;
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}
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void mss::initialize(vector<exprs>& cores, exprs& literals) {
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expr* n;
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expr_set lits, core_lits;
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for (unsigned i = 0; i < literals.size(); ++i) {
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n = literals[i];
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lits.insert(n);
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m.is_not(n, n);
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if (!is_uninterp_const(n)) {
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throw default_exception("arguments have to be uninterpreted literals");
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}
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}
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// cores are disjoint
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// cores are a subset of literals
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// literals not in cores evaluate to true in current model
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}
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/**
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\brief Move literals satisfied in todo into mss.
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Precondition: the solver state is satisfiable.
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*/
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void mss::update_model() {
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exprs rest_core;
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expr_ref tmp(m);
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s.get_model(m_model);
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update_set(m_todo);
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//
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// the last core is a dummy core. It contains literals that
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// did not occur in previous cores and did not evaluate to true
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// in the current model.
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//
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for (unsigned i = 0; i < cores.size(); ++i) {
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exprs const& core = cores[i];
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for (unsigned j = 0; j < core.size(); ++j) {
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expr* n = core[j];
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if (!core_lits.contains(n)) {
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core_lits.insert(n);
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VERIFY(m_model->eval(n, tmp));
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if (m.is_true(tmp)) {
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m_mss.push_back(n);
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}
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}
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}
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}
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for (unsigned i = 0; i < literals.size(); ++i) {
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expr* n = literals[i];
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if (!core_lits.contains(n)) {
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VERIFY(m_model->eval(n, tmp));
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if (m.is_true(tmp)) {
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m_mss.push_back(n);
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}
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else {
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rest_core.push_back(n);
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core_lits.insert(n);
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}
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}
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}
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cores.push_back(rest_core);
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}
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void mss::update_set(exprs& lits) {
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@ -69,7 +108,7 @@ namespace opt {
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continue;
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}
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VERIFY(m_model->eval(n, tmp));
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if (m.is_false(tmp)) {
|
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if (!m.is_true(tmp)) {
|
||||
if (j != i) {
|
||||
lits[j] = lits[i];
|
||||
}
|
||||
|
@ -83,33 +122,44 @@ namespace opt {
|
|||
}
|
||||
|
||||
|
||||
lbool mss::operator()(vector<exprs> const& cores, exprs& literals) {
|
||||
lbool mss::operator()(vector<exprs> const& _cores, exprs& literals) {
|
||||
m_mss.reset();
|
||||
m_mcs.reset();
|
||||
m_todo.reset();
|
||||
m_todo.append(literals);
|
||||
check_parameters(cores, literals);
|
||||
update_model();
|
||||
m_s->get_model(m_model);
|
||||
SASSERT(m_model);
|
||||
vector<exprs> cores(_cores);
|
||||
TRACE("opt",
|
||||
for (unsigned i = 0; i < cores.size(); ++i) {
|
||||
display_vec(tout << "core: ", cores[i].size(), cores[i].c_ptr());
|
||||
}
|
||||
display_vec(tout << "lits: ", literals.size(), literals.c_ptr());
|
||||
);
|
||||
initialize(cores, literals);
|
||||
TRACE("opt", display(tout););
|
||||
lbool is_sat = l_true;
|
||||
for (unsigned i = 0; is_sat == l_true && i < cores.size(); ++i) {
|
||||
is_sat = process_core(cores[i]);
|
||||
bool has_mcs = false;
|
||||
bool is_last = i + 1 < cores.size();
|
||||
SASSERT(check_invariant());
|
||||
update_set(cores[i]);
|
||||
is_sat = process_core(1, cores[i], has_mcs, is_last);
|
||||
}
|
||||
if (is_sat == l_true) {
|
||||
SASSERT(check_invariant());
|
||||
TRACE("opt", display(tout););
|
||||
literals.reset();
|
||||
literals.append(m_mss);
|
||||
SASSERT(check_result());
|
||||
}
|
||||
return is_sat;
|
||||
}
|
||||
|
||||
|
||||
lbool mss::process_core(exprs const& _core) {
|
||||
// at least one literal in core is false in current model.
|
||||
// pick literals in core that are not yet in mss.
|
||||
exprs core(_core);
|
||||
update_set(core);
|
||||
return process_core(1, core);
|
||||
}
|
||||
|
||||
lbool mss::process_core(unsigned sz, exprs& core) {
|
||||
//
|
||||
// at least one literal in core is false in current model.
|
||||
// pick literals in core that are not yet in mss.
|
||||
//
|
||||
lbool mss::process_core(unsigned sz, exprs& core, bool& has_mcs, bool is_last) {
|
||||
TRACE("opt", tout << "process: " << sz << " out of " << core.size() << " literals\n";);
|
||||
SASSERT(sz > 0);
|
||||
if (core.empty()) {
|
||||
|
@ -118,18 +168,25 @@ namespace opt {
|
|||
if (m_cancel) {
|
||||
return l_undef;
|
||||
}
|
||||
if (sz == 1 && is_last && !has_mcs) {
|
||||
// there has to be at least one false
|
||||
// literal in the core.
|
||||
m_mcs.insert(core[0]);
|
||||
return l_true;
|
||||
}
|
||||
sz = std::min(sz, core.size());
|
||||
unsigned sz_save = m_mss.size();
|
||||
m_mss.append(sz, core.c_ptr());
|
||||
lbool is_sat = s.check_sat(m_mss.size(), m_mss.c_ptr());
|
||||
lbool is_sat = m_s->check_sat(m_mss.size(), m_mss.c_ptr());
|
||||
m_mss.resize(sz_save);
|
||||
switch (is_sat) {
|
||||
case l_true:
|
||||
update_model();
|
||||
m_s->get_model(m_model);
|
||||
update_set(core);
|
||||
return process_core(2*sz, core);
|
||||
return process_core(2*sz, core, has_mcs, is_last);
|
||||
case l_false:
|
||||
if (sz == 1) {
|
||||
has_mcs = true;
|
||||
m_mcs.insert(core[0]);
|
||||
core[0] = core.back();
|
||||
core.pop_back();
|
||||
|
@ -138,12 +195,12 @@ namespace opt {
|
|||
exprs core2;
|
||||
core2.append(core.size()-sz, core.c_ptr()+sz);
|
||||
core.resize(sz);
|
||||
is_sat = process_core(sz, core2);
|
||||
is_sat = process_core(sz, core2, has_mcs, false);
|
||||
if (is_sat != l_true) {
|
||||
return is_sat;
|
||||
}
|
||||
}
|
||||
return process_core(1, core);
|
||||
return process_core(1, core, has_mcs, is_last);
|
||||
case l_undef:
|
||||
return l_undef;
|
||||
}
|
||||
|
@ -151,8 +208,41 @@ namespace opt {
|
|||
return l_true;
|
||||
}
|
||||
|
||||
void mss::display_vec(std::ostream& out, unsigned sz, expr* const* args) const {
|
||||
for (unsigned i = 0; i < sz; ++i) {
|
||||
out << mk_pp(args[i], m) << " ";
|
||||
}
|
||||
out << "\n";
|
||||
}
|
||||
|
||||
void mss::display(std::ostream& out) const {
|
||||
|
||||
expr_set::iterator it = m_mcs.begin(), end = m_mcs.end();
|
||||
out << "mcs:\n";
|
||||
for (; it != end; ++it) {
|
||||
out << mk_pp(*it, m) << "\n";
|
||||
}
|
||||
out << "\n";
|
||||
out << "mss:\n";
|
||||
for (unsigned i = 0; i < m_mss.size(); ++i) {
|
||||
out << mk_pp(m_mss[i], m) << "\n";
|
||||
}
|
||||
out << "\n";
|
||||
if (m_model) {
|
||||
model_smt2_pp(out, m, *(m_model.get()), 0);
|
||||
}
|
||||
}
|
||||
|
||||
bool mss::check_invariant() const {
|
||||
if (!m_model) return true;
|
||||
expr_ref tmp(m);
|
||||
for (unsigned i = 0; i < m_mss.size(); ++i) {
|
||||
expr* n = m_mss[i];
|
||||
VERIFY(m_model->eval(n, tmp));
|
||||
CTRACE("opt", !m.is_true(tmp), tout << mk_pp(n, m) << " |-> " << mk_pp(tmp, m) << "\n";);
|
||||
SASSERT(!m.is_false(tmp));
|
||||
}
|
||||
|
||||
return true;
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
@ -21,30 +21,34 @@ Notes:
|
|||
|
||||
namespace opt {
|
||||
class mss {
|
||||
solver& s;
|
||||
ref<solver>& m_s;
|
||||
ast_manager& m;
|
||||
volatile bool m_cancel;
|
||||
typedef ptr_vector<expr> exprs;
|
||||
typedef obj_hashtable<expr> expr_set;
|
||||
exprs m_mss;
|
||||
expr_set m_mcs;
|
||||
exprs m_todo;
|
||||
model_ref m_model;
|
||||
public:
|
||||
mss(solver& s, ast_manager& m);
|
||||
mss(ref<solver>& s, ast_manager& m);
|
||||
~mss();
|
||||
|
||||
lbool operator()(vector<ptr_vector<expr> > const& cores, ptr_vector<expr>& literals);
|
||||
lbool operator()(vector<exprs> const& cores, exprs& literals);
|
||||
|
||||
void set_cancel(bool f) { m_cancel = f; }
|
||||
|
||||
void get_model(model_ref& mdl) { mdl = m_model; }
|
||||
|
||||
private:
|
||||
void check_parameters(vector<exprs > const& cores, exprs& literals);
|
||||
void initialize(vector<exprs>& cores, exprs& literals);
|
||||
bool check_result();
|
||||
void update_model();
|
||||
void update_set(exprs& lits);
|
||||
lbool process_core(exprs const& _core);
|
||||
lbool process_core(unsigned sz, exprs& core);
|
||||
lbool process_core(unsigned sz, exprs& core, bool& has_mcs, bool is_last);
|
||||
void display(std::ostream& out) const;
|
||||
void display_vec(std::ostream& out, unsigned sz, expr* const* args) const;
|
||||
bool check_invariant() const;
|
||||
};
|
||||
|
||||
};
|
||||
|
|
Loading…
Reference in a new issue