mirror of
https://github.com/Z3Prover/z3
synced 2025-10-30 19:22:28 +00:00
include more qsat features
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner
parent
f175f864ec
commit
c4472ce717
15 changed files with 2197 additions and 190 deletions
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@ -64,6 +64,13 @@ namespace nlsat {
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for (unsigned i = 0; i < sz; i++)
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push_back(ls[i]);
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}
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void append(scoped_literal_vector const& ls) {
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append(ls.size(), ls.c_ptr());
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}
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void swap(scoped_literal_vector& other) {
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SASSERT(&m_solver == &other.m_solver);
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m_lits.swap(other.m_lits);
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}
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};
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@ -30,6 +30,8 @@ Notes:
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#include"arith_decl_plugin.h"
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#include"tactic.h"
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#include"ast_smt2_pp.h"
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#include"polynomial.h"
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#include"algebraic_numbers.h"
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struct goal2nlsat::imp {
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struct nlsat_expr2polynomial : public expr2polynomial {
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@ -257,6 +259,7 @@ struct goal2nlsat::imp {
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process(g.form(i), g.dep(i));
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}
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}
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};
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struct goal2nlsat::scoped_set_imp {
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@ -290,3 +293,153 @@ void goal2nlsat::operator()(goal const & g, params_ref const & p, nlsat::solver
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local_imp(g);
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}
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struct nlsat2goal::imp {
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ast_manager& m;
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arith_util a;
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u_map<expr*> const* m_x2t;
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public:
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imp(ast_manager& m):m(m),a(m) {}
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expr_ref operator()(nlsat::solver& s, u_map<expr*> const& b2a, u_map<expr*> const& x2t, nlsat::literal l) {
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m_x2t = &x2t;
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expr_ref result(m);
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expr* t;
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if (b2a.find(l.var(), t)) {
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result = t;
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}
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else {
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nlsat::atom const* at = s.bool_var2atom(l.var());
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SASSERT(at != 0);
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if (at->is_ineq_atom()) {
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nlsat::ineq_atom const* ia = to_ineq_atom(at);
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unsigned sz = ia->size();
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expr_ref_vector ps(m);
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bool is_int = true;
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for (unsigned i = 0; is_int && i < sz; ++i) {
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is_int = poly_is_int(ia->p(i));
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}
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for (unsigned i = 0; i < sz; ++i) {
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polynomial::polynomial* p = ia->p(i);
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expr_ref t = poly2expr(s, p, is_int);
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if (ia->is_even(i)) {
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t = a.mk_power(t, a.mk_numeral(rational(2), a.is_int(t)));
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}
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ps.push_back(t);
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}
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result = a.mk_mul_simplify(ps);
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expr_ref zero(m);
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zero = a.mk_numeral(rational(0), a.is_int(result));
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switch (ia->get_kind()) {
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case nlsat::atom::EQ:
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result = m.mk_eq(result, zero);
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break;
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case nlsat::atom::LT:
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if (l.sign()) {
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l.neg();
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result = a.mk_ge(result, zero);
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}
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else {
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result = a.mk_lt(result, zero);
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}
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break;
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case nlsat::atom::GT:
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if (l.sign()) {
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l.neg();
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result = a.mk_le(result, zero);
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}
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else {
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result = a.mk_gt(result, zero);
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}
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break;
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default:
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UNREACHABLE();
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}
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}
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else {
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//nlsat::root_atom const* ra = nlsat::to_root_atom(at);
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//ra->i();
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//expr_ref p = poly2expr(s, ra->p());
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//expr* x = m_x2t->find(ra->x());
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std::ostringstream strm;
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s.display(strm, l.sign()?~l:l);
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result = m.mk_const(symbol(strm.str().c_str()), m.mk_bool_sort());
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}
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}
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if (l.sign()) {
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result = m.mk_not(result);
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}
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return result;
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}
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expr_ref poly2expr(nlsat::solver& s, polynomial::polynomial* p, bool is_int) {
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expr_ref result(m);
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unsigned sz = polynomial::manager::size(p);
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expr_ref_vector args(m);
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for (unsigned i = 0; i < sz; ++i) {
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args.push_back(mono2expr(s,
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polynomial::manager::coeff(p, i),
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polynomial::manager::get_monomial(p, i), is_int));
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}
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result = a.mk_add_simplify(args);
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return result;
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}
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expr_ref mono2expr(nlsat::solver& s, polynomial::numeral const& c, polynomial::monomial* mon, bool is_int) {
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expr_ref result(m);
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expr_ref_vector args(m);
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unsigned sz = polynomial::manager::size(mon);
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for (unsigned i = 0; i < sz; ++i) {
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unsigned d = polynomial::manager::degree(mon, i);
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expr* t = m_x2t->find(polynomial::manager::get_var(mon, i));
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SASSERT(d >= 1);
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if (d == 1) {
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args.push_back(t);
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}
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else {
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args.push_back(a.mk_power(t, a.mk_numeral(rational(d), a.is_int(t))));
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}
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}
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if (!s.pm().m().is_one(c)) {
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args.push_back(a.mk_numeral(c, is_int));
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}
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result = a.mk_mul_simplify(args);
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return result;
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}
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bool poly_is_int(polynomial::polynomial* p) {
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bool is_int = true;
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unsigned sz = polynomial::manager::size(p);
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for (unsigned i = 0; is_int && i < sz; ++i) {
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is_int = mono_is_int(polynomial::manager::get_monomial(p, i));
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}
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return is_int;
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}
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bool mono_is_int(polynomial::monomial* mon) {
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bool is_int = true;
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unsigned sz = polynomial::manager::size(mon);
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for (unsigned i = 0; is_int && i < sz; ++i) {
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is_int = a.is_int(m_x2t->find(polynomial::manager::get_var(mon, i)));
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}
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return is_int;
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}
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};
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nlsat2goal::nlsat2goal(ast_manager& m) {
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m_imp = alloc(imp, m);
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}
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nlsat2goal::~nlsat2goal() {
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dealloc(m_imp);
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}
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expr_ref nlsat2goal::operator()(nlsat::solver& s, u_map<expr*> const& b2a, u_map<expr*> const& x2t, nlsat::literal l) {
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return (*m_imp)(s, b2a, x2t, l);
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}
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@ -57,16 +57,15 @@ class nlsat2goal {
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struct imp;
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imp * m_imp;
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public:
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nlsat2goal();
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nlsat2goal(ast_manager& m);
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~nlsat2goal();
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static void collect_param_descrs(param_descrs & r);
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/**
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\brief Translate the state of the nlsat engine back into a goal.
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\brief Translate a literal into a formula.
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*/
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void operator()(nlsat::solver const & s, expr2var const & a2b, expr2var const & t2x,
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params_ref const & p, goal & g, model_converter_ref & mc);
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expr_ref operator()(nlsat::solver& s, u_map<expr*> const& b2a, u_map<expr*> const& x2t, nlsat::literal l);
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};
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@ -36,7 +36,6 @@ Revision History:
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#include "expr_functors.h"
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#include "quant_hoist.h"
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#include "bool_rewriter.h"
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#include "qe_util.h"
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#include "th_rewriter.h"
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#include "smt_kernel.h"
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#include "model_evaluator.h"
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@ -2281,7 +2280,7 @@ namespace qe {
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}
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}
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static void extract_vars(quantifier* q, expr_ref& new_body, app_ref_vector& vars) {
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void extract_vars(quantifier* q, expr_ref& new_body, app_ref_vector& vars) {
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ast_manager& m = new_body.get_manager();
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expr_ref tmp(m);
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unsigned nd = q->get_num_decls();
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@ -223,6 +223,8 @@ namespace qe {
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qe_solver_plugin* mk_arith_plugin(i_solver_context& ctx, bool produce_models, smt_params& p);
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void extract_vars(quantifier* q, expr_ref& new_body, app_ref_vector& vars);
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class def_vector {
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func_decl_ref_vector m_vars;
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expr_ref_vector m_defs;
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File diff suppressed because it is too large
Load diff
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@ -9,16 +9,33 @@ Copyright (c) 2015 Microsoft Corporation
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#define QE_ARITH_H_
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#include "model.h"
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#include "arith_decl_plugin.h"
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#include "qe_mbp.h"
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namespace qe {
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/**
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Loos-Weispfenning model-based projection for a basic conjunction.
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Lits is a vector of literals.
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return vector of variables that could not be projected.
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*/
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expr_ref arith_project(model& model, app_ref_vector& vars, expr_ref_vector const& lits);
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expr_ref arith_project(model& model, app_ref_vector& vars, expr* fml);
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class arith_project_plugin : public project_plugin {
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struct imp;
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imp* m_imp;
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public:
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arith_project_plugin(ast_manager& m);
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virtual ~arith_project_plugin();
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virtual bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits);
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virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits);
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virtual family_id get_family_id();
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};
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bool arith_project(model& model, app* var, expr_ref_vector& lits);
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// match e := t mod k = 0.
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bool is_divides(arith_util& a, expr* e, rational& k, expr_ref& t);
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};
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#endif
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@ -32,6 +32,7 @@ Revision History:
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#include "nlarith_util.h"
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#include "model_evaluator.h"
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#include "smt_kernel.h"
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#include "qe_arith.h"
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namespace qe {
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@ -266,23 +267,8 @@ namespace qe {
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//
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// match 0 == p mod k, p mod k == 0
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//
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bool is_divides(app* e, numeral& k, expr_ref& p) {
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expr* e1, *e2;
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if (!m.is_eq(e, e1, e2)) {
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return false;
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}
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return is_divides(e1, e2, k, p) || is_divides(e2, e1, k, p);
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}
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bool is_divides(expr* e1, expr* e2, numeral& k, expr_ref& p) {
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if (m_arith.is_mod(e2) &&
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m_arith.is_numeral(e1, k) &&
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k.is_zero() &&
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m_arith.is_numeral(to_app(e2)->get_arg(1), k)) {
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p = to_app(e2)->get_arg(0);
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return true;
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}
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return false;
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bool is_divides(expr* e, numeral& k, expr_ref& p) {
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return qe::is_divides(m_arith, e, k, p);
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}
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bool is_not_divides(app* e, app_ref& n, numeral& k, expr_ref& p) {
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427
src/qe/qe_arrays.cpp
Normal file
427
src/qe/qe_arrays.cpp
Normal file
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@ -0,0 +1,427 @@
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/*++
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Copyright (c) 2015 Microsoft Corporation
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Module Name:
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qe_arrays.cpp
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Abstract:
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Model based projection for arrays
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Author:
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Nikolaj Bjorner (nbjorner) 2015-06-13
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Revision History:
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--*/
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#include "qe_arrays.h"
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#include "rewriter_def.h"
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#include "expr_functors.h"
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#include "expr_safe_replace.h"
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#include "lbool.h"
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#include "ast_util.h"
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#include "ast_pp.h"
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namespace qe {
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struct array_project_plugin::imp {
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// rewriter or direct procedure.
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struct rw_cfg : public default_rewriter_cfg {
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ast_manager& m;
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array_util& a;
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expr_ref_vector m_lits;
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model* m_model;
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imp* m_imp;
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rw_cfg(ast_manager& m, array_util& a):
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m(m), a(a), m_lits(m), m_model(0) {}
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br_status reduce_app(func_decl* f, unsigned n, expr* const* args, expr_ref& result, proof_ref & pr) {
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if (a.is_select(f) && a.is_store(args[0])) {
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expr_ref val1(m), val2(m);
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app* b = to_app(args[0]);
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SASSERT(b->get_num_args() == n + 1);
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for (unsigned i = 1; i < n; ++i) {
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expr* arg1 = args[i];
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expr* arg2 = b->get_arg(i);
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if (arg1 == arg2) {
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val1 = val2 = arg1;
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}
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else {
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VERIFY(m_model->eval(arg1, val1));
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VERIFY(m_model->eval(arg2, val2));
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}
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switch(compare(val1, val2)) {
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case l_true:
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if (arg1 != arg2) {
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m_lits.push_back(m.mk_eq(arg1, arg2));
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}
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break;
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case l_false: {
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ptr_vector<expr> new_args;
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if (i > 0) {
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m_lits.resize(m_lits.size() - i);
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}
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m_lits.push_back(m.mk_not(m.mk_eq(arg1, arg2)));
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new_args.push_back(b->get_arg(0));
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new_args.append(n-1, args+1);
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result = m.mk_app(f, n, new_args.c_ptr());
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return BR_REWRITE1;
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}
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case l_undef:
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return BR_FAILED;
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}
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}
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result = b->get_arg(n);
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return BR_DONE;
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}
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return BR_FAILED;
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}
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lbool compare(expr* x, expr* y) {
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NOT_IMPLEMENTED_YET();
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return l_undef;
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}
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};
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struct indices {
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expr_ref_vector m_values;
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expr* const* m_vars;
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indices(ast_manager& m, model& model, unsigned n, expr* const* vars):
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m_values(m), m_vars(vars) {
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expr_ref val(m);
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for (unsigned i = 0; i < n; ++i) {
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VERIFY(model.eval(vars[i], val));
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m_values.push_back(val);
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}
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}
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};
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ast_manager& m;
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array_util a;
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scoped_ptr<contains_app> m_var;
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imp(ast_manager& m): m(m), a(m) {}
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~imp() {}
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virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
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return false;
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}
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bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) {
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TRACE("qe", tout << mk_pp(var, m) << "\n" << lits;);
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m_var = alloc(contains_app, m, var);
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// reduce select-store redeces based on model.
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// rw_cfg rw(m);
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// rw(lits);
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// try first to solve for var.
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if (solve_eq(model, vars, lits)) {
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return true;
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}
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app_ref_vector selects(m);
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// check that only non-select occurrences are in disequalities.
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if (!check_diseqs(lits, selects)) {
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TRACE("qe", tout << "Could not project " << mk_pp(var, m) << " for:\n" << lits << "\n";);
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return false;
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}
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// remove disequalities.
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elim_diseqs(lits);
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// Ackerman reduction on remaining select occurrences
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// either replace occurrences by model value or other node
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// that is congruent to model value.
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ackermanize_select(model, selects, vars, lits);
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TRACE("qe", tout << selects << "\n" << lits << "\n";);
|
||||
return true;
|
||||
}
|
||||
|
||||
void ackermanize_select(model& model, app_ref_vector const& selects, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
expr_ref_vector vals(m), reps(m);
|
||||
expr_ref val(m);
|
||||
expr_safe_replace sub(m);
|
||||
|
||||
if (selects.empty()) {
|
||||
return;
|
||||
}
|
||||
|
||||
app_ref sel(m);
|
||||
for (unsigned i = 0; i < selects.size(); ++i) {
|
||||
sel = m.mk_fresh_const("sel", m.get_sort(selects[i]));
|
||||
VERIFY (model.eval(selects[i], val));
|
||||
model.register_decl(sel->get_decl(), val);
|
||||
vals.push_back(to_app(val));
|
||||
reps.push_back(val); // TODO: direct pass could handle nested selects.
|
||||
vars.push_back(sel);
|
||||
sub.insert(selects[i], val);
|
||||
}
|
||||
|
||||
sub(lits);
|
||||
remove_true(lits);
|
||||
project_plugin::partition_args(model, selects, lits);
|
||||
project_plugin::partition_values(model, reps, lits);
|
||||
}
|
||||
|
||||
void remove_true(expr_ref_vector& lits) {
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
if (m.is_true(lits[i].get())) {
|
||||
project_plugin::erase(lits, i);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
bool contains_x(expr* e) {
|
||||
return (*m_var)(e);
|
||||
}
|
||||
|
||||
void mk_eq(indices& x, indices y, expr_ref_vector& lits) {
|
||||
unsigned n = x.m_values.size();
|
||||
for (unsigned j = 0; j < n; ++j) {
|
||||
lits.push_back(m.mk_eq(x.m_vars[j], y.m_vars[j]));
|
||||
}
|
||||
}
|
||||
|
||||
// check that x occurs only under selects or in disequalities.
|
||||
bool check_diseqs(expr_ref_vector const& lits, app_ref_vector& selects) {
|
||||
expr_mark mark;
|
||||
ptr_vector<app> todo;
|
||||
app* e;
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
e = to_app(lits[i]);
|
||||
if (is_diseq_x(e)) {
|
||||
continue;
|
||||
}
|
||||
if (contains_x(e)) {
|
||||
todo.push_back(e);
|
||||
}
|
||||
}
|
||||
while (!todo.empty()) {
|
||||
e = todo.back();
|
||||
todo.pop_back();
|
||||
if (mark.is_marked(e)) {
|
||||
continue;
|
||||
}
|
||||
mark.mark(e);
|
||||
if (m_var->x() == e) {
|
||||
return false;
|
||||
}
|
||||
unsigned start = 0;
|
||||
if (a.is_select(e)) {
|
||||
if (e->get_arg(0) == m_var->x()) {
|
||||
start = 1;
|
||||
selects.push_back(e);
|
||||
}
|
||||
}
|
||||
for (unsigned i = start; i < e->get_num_args(); ++i) {
|
||||
todo.push_back(to_app(e->get_arg(i)));
|
||||
}
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
void elim_diseqs(expr_ref_vector& lits) {
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
if (is_diseq_x(lits[i].get())) {
|
||||
project_plugin::erase(lits, i);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
bool is_update_x(app* e) {
|
||||
do {
|
||||
if (m_var->x() == e) {
|
||||
return true;
|
||||
}
|
||||
if (a.is_store(e) && contains_x(e->get_arg(0))) {
|
||||
for (unsigned i = 1; i < e->get_num_args(); ++i) {
|
||||
if (contains_x(e->get_arg(i))) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
e = to_app(e->get_arg(0));
|
||||
continue;
|
||||
}
|
||||
}
|
||||
while (false);
|
||||
return false;
|
||||
}
|
||||
|
||||
bool is_diseq_x(expr* e) {
|
||||
expr *f, * s, *t;
|
||||
if (m.is_not(e, f) && m.is_eq(f, s, t)) {
|
||||
if (contains_x(s) && !contains_x(t) && is_update_x(to_app(s))) return true;
|
||||
if (contains_x(t) && !contains_x(s) && is_update_x(to_app(t))) return true;
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
bool solve_eq(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
// find an equality to solve for.
|
||||
expr* s, *t;
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
if (m.is_eq(lits[i].get(), s, t)) {
|
||||
vector<indices> idxs;
|
||||
expr_ref save(m), back(m);
|
||||
save = lits[i].get();
|
||||
back = lits.back();
|
||||
lits[i] = back;
|
||||
lits.pop_back();
|
||||
unsigned sz = lits.size();
|
||||
if (contains_x(s) && !contains_x(t) && is_app(s)) {
|
||||
if (solve(model, to_app(s), t, idxs, vars, lits)) {
|
||||
return true;
|
||||
}
|
||||
}
|
||||
else if (contains_x(t) && !contains_x(s) && is_app(t)) {
|
||||
if (solve(model, to_app(t), s, idxs, vars, lits)) {
|
||||
return true;
|
||||
}
|
||||
}
|
||||
// put back the equality literal.
|
||||
lits.resize(sz);
|
||||
lits.push_back(back);
|
||||
lits[i] = save;
|
||||
}
|
||||
// TBD: not distinct?
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
bool solve(model& model, app* s, expr* t, vector<indices>& idxs, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
SASSERT(contains_x(s));
|
||||
SASSERT(!contains_x(t));
|
||||
|
||||
if (s == m_var->x()) {
|
||||
expr_ref result(s, m);
|
||||
expr_ref_vector args(m);
|
||||
sort* range = get_array_range(m.get_sort(s));
|
||||
for (unsigned i = 0; i < idxs.size(); ++i) {
|
||||
app_ref var(m);
|
||||
var = m.mk_fresh_const("value", range);
|
||||
vars.push_back(var);
|
||||
args.reset();
|
||||
args.push_back(result);
|
||||
args.append(idxs[i].m_values.size(), idxs[i].m_vars);
|
||||
args.push_back(var);
|
||||
result = a.mk_store(args.size(), args.c_ptr());
|
||||
}
|
||||
expr_safe_replace sub(m);
|
||||
sub.insert(s, result);
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
sub(lits[i].get(), result);
|
||||
lits[i] = result;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
if (a.is_store(s)) {
|
||||
unsigned n = s->get_num_args()-2;
|
||||
indices idx(m, model, n, s->get_args()+1);
|
||||
for (unsigned i = 1; i < n; ++i) {
|
||||
if (contains_x(s->get_arg(i))) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
unsigned i;
|
||||
expr_ref_vector args(m);
|
||||
switch (contains(idx, idxs, i)) {
|
||||
case l_true:
|
||||
mk_eq(idx, idxs[i], lits);
|
||||
return solve(model, to_app(s->get_arg(0)), t, idxs, vars, lits);
|
||||
case l_false:
|
||||
for (unsigned i = 0; i < idxs.size(); ++i) {
|
||||
expr_ref_vector eqs(m);
|
||||
mk_eq(idx, idxs[i], eqs);
|
||||
lits.push_back(m.mk_not(mk_and(eqs))); // TBD: extract single index of difference based on model.
|
||||
}
|
||||
args.push_back(t);
|
||||
args.append(n, s->get_args()+1);
|
||||
lits.push_back(m.mk_eq(a.mk_select(args.size(), args.c_ptr()), s->get_arg(n+1)));
|
||||
idxs.push_back(idx);
|
||||
return solve(model, to_app(s->get_arg(0)), t, idxs, vars, lits);
|
||||
case l_undef:
|
||||
return false;
|
||||
}
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
lbool contains(indices const& idx, vector<indices> const& idxs, unsigned& j) {
|
||||
for (unsigned i = 0; i < idxs.size(); ++i) {
|
||||
switch (compare(idx, idxs[i])) {
|
||||
case l_true:
|
||||
j = i;
|
||||
return l_true;
|
||||
case l_false:
|
||||
break;
|
||||
case l_undef:
|
||||
return l_undef;
|
||||
}
|
||||
}
|
||||
return l_false;
|
||||
}
|
||||
|
||||
lbool compare(indices const& idx1, indices const& idx2) {
|
||||
unsigned n = idx1.m_values.size();
|
||||
for (unsigned i = 0; i < n; ++i) {
|
||||
switch (compare(idx1.m_values[i], idx2.m_values[i])) {
|
||||
case l_true:
|
||||
break;
|
||||
case l_false:
|
||||
return l_false;
|
||||
case l_undef:
|
||||
return l_undef;
|
||||
}
|
||||
}
|
||||
return l_true;
|
||||
}
|
||||
|
||||
lbool compare(expr* val1, expr* val2) {
|
||||
if (val1 == val2) {
|
||||
return l_true;
|
||||
}
|
||||
if (is_uninterp(val1) ||
|
||||
is_uninterp(val2)) {
|
||||
// TBD chase definition of nested array.
|
||||
return l_undef;
|
||||
}
|
||||
return l_true;
|
||||
}
|
||||
};
|
||||
|
||||
|
||||
array_project_plugin::array_project_plugin(ast_manager& m) {
|
||||
m_imp = alloc(imp, m);
|
||||
}
|
||||
|
||||
array_project_plugin::~array_project_plugin() {
|
||||
dealloc(m_imp);
|
||||
}
|
||||
|
||||
bool array_project_plugin::operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
return (*m_imp)(model, var, vars, lits);
|
||||
}
|
||||
|
||||
bool array_project_plugin::solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
return m_imp->solve(model, vars, lits);
|
||||
}
|
||||
|
||||
family_id array_project_plugin::get_family_id() {
|
||||
return m_imp->a.get_family_id();
|
||||
}
|
||||
|
||||
};
|
||||
|
||||
42
src/qe/qe_arrays.h
Normal file
42
src/qe/qe_arrays.h
Normal file
|
|
@ -0,0 +1,42 @@
|
|||
/*++
|
||||
Copyright (c) 2015 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
qe_arrays.h
|
||||
|
||||
Abstract:
|
||||
|
||||
Model based projection for arrays
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2015-06-13
|
||||
|
||||
Revision History:
|
||||
|
||||
--*/
|
||||
|
||||
|
||||
#ifndef __QE_ARRAYS_H_
|
||||
#define __QE_ARRAYS_H_
|
||||
|
||||
#include "array_decl_plugin.h"
|
||||
#include "qe_mbp.h"
|
||||
|
||||
namespace qe {
|
||||
|
||||
class array_project_plugin : public project_plugin {
|
||||
struct imp;
|
||||
imp* m_imp;
|
||||
public:
|
||||
array_project_plugin(ast_manager& m);
|
||||
virtual ~array_project_plugin();
|
||||
virtual bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits);
|
||||
virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits);
|
||||
virtual family_id get_family_id();
|
||||
};
|
||||
|
||||
};
|
||||
|
||||
#endif
|
||||
312
src/qe/qe_datatypes.cpp
Normal file
312
src/qe/qe_datatypes.cpp
Normal file
|
|
@ -0,0 +1,312 @@
|
|||
/*++
|
||||
Copyright (c) 2015 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
qe_datatypes.cpp
|
||||
|
||||
Abstract:
|
||||
|
||||
Simple projection function for algebraic datatypes.
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2015-06-13
|
||||
|
||||
Revision History:
|
||||
|
||||
--*/
|
||||
|
||||
#include "qe_arith.h"
|
||||
#include "ast_pp.h"
|
||||
#include "th_rewriter.h"
|
||||
#include "expr_functors.h"
|
||||
#include "model_v2_pp.h"
|
||||
#include "expr_safe_replace.h"
|
||||
#include "obj_pair_hashtable.h"
|
||||
#include "qe_datatypes.h"
|
||||
|
||||
namespace qe {
|
||||
|
||||
struct datatype_project_plugin::imp {
|
||||
ast_manager& m;
|
||||
datatype_util dt;
|
||||
app_ref m_val;
|
||||
scoped_ptr<contains_app> m_var;
|
||||
|
||||
imp(ast_manager& m):
|
||||
m(m), dt(m), m_val(m) {}
|
||||
|
||||
virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
return lift_foreign(vars, lits);
|
||||
}
|
||||
|
||||
bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
expr_ref val(m);
|
||||
VERIFY(model.eval(var, val));
|
||||
SASSERT(is_app(val));
|
||||
TRACE("qe", tout << mk_pp(var, m) << " := " << val << "\n";);
|
||||
m_val = to_app(val);
|
||||
if (!dt.is_constructor(m_val)) {
|
||||
// assert: var does not occur in lits.
|
||||
return true;
|
||||
}
|
||||
m_var = alloc(contains_app, m, var);
|
||||
|
||||
|
||||
try {
|
||||
if (dt.is_recursive(m.get_sort(var))) {
|
||||
project_rec(model, vars, lits);
|
||||
}
|
||||
else {
|
||||
project_nonrec(model, vars, lits);
|
||||
}
|
||||
}
|
||||
catch (cant_project) {
|
||||
TRACE("qe", tout << "can't project:" << mk_pp(var, m) << "\n";);
|
||||
return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
void project_nonrec(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
expr_ref tmp(m), val(m);
|
||||
expr_ref_vector args(m);
|
||||
app_ref arg(m);
|
||||
SASSERT(dt.is_constructor(m_val));
|
||||
func_decl* f = m_val->get_decl();
|
||||
ptr_vector<func_decl> const& acc = *dt.get_constructor_accessors(f);
|
||||
for (unsigned i = 0; i < acc.size(); ++i) {
|
||||
arg = m.mk_fresh_const(acc[i]->get_name().str().c_str(), acc[i]->get_range());
|
||||
model.register_decl(arg->get_decl(), m_val->get_arg(i));
|
||||
args.push_back(arg);
|
||||
}
|
||||
val = m.mk_app(f, args.size(), args.c_ptr());
|
||||
TRACE("qe", tout << mk_pp(m_var->x(), m) << " |-> " << val << "\n";);
|
||||
reduce(val, lits);
|
||||
}
|
||||
|
||||
void project_rec(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
func_decl* f = m_val->get_decl();
|
||||
expr_ref rhs(m);
|
||||
expr_ref_vector eqs(m);
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
if (solve(model, vars, lits[i].get(), rhs, eqs)) {
|
||||
project_plugin::erase(lits, i);
|
||||
reduce(rhs, lits);
|
||||
lits.append(eqs);
|
||||
return;
|
||||
}
|
||||
}
|
||||
|
||||
// otherwise, unfold the constructor associated with m_var
|
||||
// once according to the model. In this way, selector-constructor
|
||||
// redexes are reduced and disequalities are eventually solved
|
||||
// by virtue of the constructors being different.
|
||||
project_nonrec(model, vars, lits);
|
||||
}
|
||||
|
||||
void reduce(expr* val, expr_ref_vector& lits) {
|
||||
expr_safe_replace sub(m);
|
||||
th_rewriter rw(m);
|
||||
expr_ref tmp(m);
|
||||
sub.insert(m_var->x(), val);
|
||||
TRACE("qe", tout << mk_pp(m_var->x(), m) << " = " << mk_pp(val, m) << "\n";
|
||||
tout << lits << "\n";);
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
sub(lits[i].get(), tmp);
|
||||
rw(tmp);
|
||||
lits[i] = tmp;
|
||||
}
|
||||
}
|
||||
|
||||
bool contains_x(expr* e) {
|
||||
return (*m_var)(e);
|
||||
}
|
||||
|
||||
bool solve(model& model, app_ref_vector& vars, expr* fml, expr_ref& t, expr_ref_vector& eqs) {
|
||||
expr* t1, *t2;
|
||||
if (m.is_eq(fml, t1, t2)) {
|
||||
if (contains_x(t1) && !contains_x(t2) && is_app(t1)) {
|
||||
return solve(model, vars, to_app(t1), t2, t, eqs);
|
||||
}
|
||||
if (contains_x(t2) && !contains_x(t1) && is_app(t2)) {
|
||||
return solve(model, vars, to_app(t2), t1, t, eqs);
|
||||
}
|
||||
}
|
||||
if (m.is_not(fml, t1) && m.is_distinct(t1)) {
|
||||
expr_ref eq = project_plugin::pick_equality(m, model, t1);
|
||||
return solve(model, vars, eq, t, eqs);
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
bool solve(model& model, app_ref_vector& vars, app* a, expr* b, expr_ref& t, expr_ref_vector& eqs) {
|
||||
SASSERT(contains_x(a));
|
||||
SASSERT(!contains_x(b));
|
||||
if (m_var->x() == a) {
|
||||
t = b;
|
||||
return true;
|
||||
}
|
||||
if (!dt.is_constructor(a)) {
|
||||
return false;
|
||||
}
|
||||
func_decl* c = a->get_decl();
|
||||
func_decl* rec = dt.get_constructor_recognizer(c);
|
||||
ptr_vector<func_decl> const & acc = *dt.get_constructor_accessors(c);
|
||||
SASSERT(acc.size() == a->get_num_args());
|
||||
//
|
||||
// It suffices to solve just the first available equality.
|
||||
// The others are determined by the first.
|
||||
//
|
||||
for (unsigned i = 0; i < a->get_num_args(); ++i) {
|
||||
expr* l = a->get_arg(i);
|
||||
if (is_app(l) && contains_x(l)) {
|
||||
expr_ref r(m);
|
||||
r = access(c, i, acc, b);
|
||||
if (solve(model, vars, to_app(l), r, t, eqs)) {
|
||||
for (unsigned j = 0; j < c->get_arity(); ++j) {
|
||||
if (i != j) {
|
||||
eqs.push_back(m.mk_eq(access(c, j, acc, b), a->get_arg(j)));
|
||||
}
|
||||
}
|
||||
if (!is_app_of(b, c)) {
|
||||
eqs.push_back(m.mk_app(rec, b));
|
||||
}
|
||||
|
||||
return true;
|
||||
}
|
||||
}
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
|
||||
expr* access(func_decl* c, unsigned i, ptr_vector<func_decl> const& acc, expr* e) {
|
||||
if (is_app_of(e,c)) {
|
||||
return to_app(e)->get_arg(i);
|
||||
}
|
||||
else {
|
||||
return m.mk_app(acc[i], e);
|
||||
}
|
||||
}
|
||||
|
||||
bool lift_foreign(app_ref_vector const& vars, expr_ref_vector& lits) {
|
||||
|
||||
bool reduced = false;
|
||||
expr_mark visited;
|
||||
expr_mark has_var;
|
||||
bool inserted = false;
|
||||
for (unsigned i = 0; i < vars.size(); ++i) {
|
||||
if (m.is_bool(vars[i])) continue;
|
||||
if (dt.is_datatype(m.get_sort(vars[i]))) continue;
|
||||
inserted = true;
|
||||
has_var.mark(vars[i]);
|
||||
visited.mark(vars[i]);
|
||||
}
|
||||
if (inserted) {
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
expr* e = lits[i].get(), *l, *r;
|
||||
if (m.is_eq(e, l, r) && reduce_eq(visited, has_var, l, r, lits)) {
|
||||
project_plugin::erase(lits, i);
|
||||
reduced = true;
|
||||
}
|
||||
}
|
||||
CTRACE("qe", reduced, tout << vars << "\n" << lits << "\n";);
|
||||
}
|
||||
return reduced;
|
||||
}
|
||||
|
||||
bool reduce_eq(expr_mark& has_var, expr_mark& visited, expr* l, expr* r, expr_ref_vector& lits) {
|
||||
if (!is_app(l) || !is_app(r)) {
|
||||
return false;
|
||||
}
|
||||
bool reduce = false;
|
||||
if (dt.is_constructor(to_app(r)) && contains_foreign(has_var, visited, r)) {
|
||||
std::swap(l, r);
|
||||
reduce = true;
|
||||
}
|
||||
reduce |= dt.is_constructor(to_app(l)) && contains_foreign(has_var, visited, l);
|
||||
if (!reduce) {
|
||||
return false;
|
||||
}
|
||||
func_decl* c = to_app(l)->get_decl();
|
||||
ptr_vector<func_decl> const& acc = *dt.get_constructor_accessors(c);
|
||||
if (!is_app_of(r, c)) {
|
||||
lits.push_back(m.mk_app(dt.get_constructor_recognizer(c), r));
|
||||
}
|
||||
for (unsigned i = 0; i < acc.size(); ++i) {
|
||||
lits.push_back(m.mk_eq(to_app(l)->get_arg(i), access(c, i, acc, r)));
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
|
||||
ptr_vector<expr> todo;
|
||||
|
||||
bool contains_foreign(expr_mark& has_var, expr_mark& visited, expr* e) {
|
||||
todo.push_back(e);
|
||||
while (!todo.empty()) {
|
||||
expr* _f = todo.back();
|
||||
if (visited.is_marked(_f)) {
|
||||
todo.pop_back();
|
||||
continue;
|
||||
}
|
||||
if (!is_app(_f)) {
|
||||
visited.mark(_f);
|
||||
todo.pop_back();
|
||||
continue;
|
||||
}
|
||||
app* f = to_app(_f);
|
||||
bool has_new = false, has_v = false;
|
||||
for (unsigned i = 0; i < f->get_num_args(); ++i) {
|
||||
expr* arg = f->get_arg(i);
|
||||
if (!visited.is_marked(arg)) {
|
||||
todo.push_back(arg);
|
||||
has_new = true;
|
||||
}
|
||||
else {
|
||||
has_v |= has_var.is_marked(arg);
|
||||
}
|
||||
}
|
||||
if (has_new) {
|
||||
continue;
|
||||
}
|
||||
todo.pop_back();
|
||||
if (has_v) {
|
||||
has_var.mark(f);
|
||||
}
|
||||
TRACE("qe", tout << "contains: " << mk_pp(f, m) << " " << has_var.is_marked(f) << "\n";);
|
||||
visited.mark(f);
|
||||
}
|
||||
TRACE("qe", tout << "contains: " << mk_pp(e, m) << " " << has_var.is_marked(e) << "\n";);
|
||||
return has_var.is_marked(e);
|
||||
}
|
||||
|
||||
};
|
||||
|
||||
datatype_project_plugin::datatype_project_plugin(ast_manager& m) {
|
||||
m_imp = alloc(imp, m);
|
||||
}
|
||||
|
||||
datatype_project_plugin::~datatype_project_plugin() {
|
||||
dealloc(m_imp);
|
||||
}
|
||||
|
||||
bool datatype_project_plugin::operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
return (*m_imp)(model, var, vars, lits);
|
||||
}
|
||||
|
||||
bool datatype_project_plugin::solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
return m_imp->solve(model, vars, lits);
|
||||
}
|
||||
|
||||
|
||||
family_id datatype_project_plugin::get_family_id() {
|
||||
return m_imp->dt.get_family_id();
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
42
src/qe/qe_datatypes.h
Normal file
42
src/qe/qe_datatypes.h
Normal file
|
|
@ -0,0 +1,42 @@
|
|||
/*++
|
||||
Copyright (c) 2015 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
qe_datatypes.h
|
||||
|
||||
Abstract:
|
||||
|
||||
Model based projection for algebraic datatypes
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2015-06-13
|
||||
|
||||
Revision History:
|
||||
|
||||
--*/
|
||||
|
||||
|
||||
#ifndef __QE_DATATYPES_H_
|
||||
#define __QE_DATATYPES_H_
|
||||
|
||||
#include "datatype_decl_plugin.h"
|
||||
#include "qe_mbp.h"
|
||||
|
||||
namespace qe {
|
||||
|
||||
class datatype_project_plugin : public project_plugin {
|
||||
struct imp;
|
||||
imp* m_imp;
|
||||
public:
|
||||
datatype_project_plugin(ast_manager& m);
|
||||
virtual ~datatype_project_plugin();
|
||||
virtual bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits);
|
||||
virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits);
|
||||
virtual family_id get_family_id();
|
||||
};
|
||||
|
||||
};
|
||||
|
||||
#endif
|
||||
|
|
@ -31,7 +31,6 @@ Revision History:
|
|||
#include "var_subst.h"
|
||||
#include "uint_set.h"
|
||||
#include "ast_util.h"
|
||||
#include "qe_util.h"
|
||||
#include "th_rewriter.h"
|
||||
#include "for_each_expr.h"
|
||||
#include "expr_safe_replace.h"
|
||||
|
|
|
|||
369
src/qe/qe_mbp.cpp
Normal file
369
src/qe/qe_mbp.cpp
Normal file
|
|
@ -0,0 +1,369 @@
|
|||
/*++
|
||||
Copyright (c) 2015 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
qe_mbp.cpp
|
||||
|
||||
Abstract:
|
||||
|
||||
Model-based projection utilities
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2015-5-29
|
||||
|
||||
Revision History:
|
||||
|
||||
|
||||
--*/
|
||||
|
||||
#include "qe_mbp.h"
|
||||
#include "qe_arith.h"
|
||||
#include "qe_arrays.h"
|
||||
#include "qe_datatypes.h"
|
||||
#include "expr_safe_replace.h"
|
||||
#include "ast_pp.h"
|
||||
#include "ast_util.h"
|
||||
#include "th_rewriter.h"
|
||||
#include "model_v2_pp.h"
|
||||
#include "expr_functors.h"
|
||||
|
||||
|
||||
using namespace qe;
|
||||
|
||||
|
||||
/**
|
||||
\brief return two terms that are equal in the model.
|
||||
The distinct term t is false in model, so there
|
||||
are at least two arguments of t that are equal in the model.
|
||||
*/
|
||||
expr_ref project_plugin::pick_equality(ast_manager& m, model& model, expr* t) {
|
||||
SASSERT(m.is_distinct(t));
|
||||
expr_ref val(m);
|
||||
expr_ref_vector vals(m);
|
||||
obj_map<expr, expr*> val2expr;
|
||||
app* alit = to_app(t);
|
||||
for (unsigned i = 0; i < alit->get_num_args(); ++i) {
|
||||
expr* e1 = alit->get_arg(i), *e2;
|
||||
VERIFY(model.eval(e1, val));
|
||||
if (val2expr.find(val, e2)) {
|
||||
return expr_ref(m.mk_eq(e1, e2), m);
|
||||
}
|
||||
val2expr.insert(val, e1);
|
||||
vals.push_back(val);
|
||||
}
|
||||
UNREACHABLE();
|
||||
return expr_ref(0, m);
|
||||
}
|
||||
|
||||
void project_plugin::partition_values(model& model, expr_ref_vector const& vals, expr_ref_vector& lits) {
|
||||
ast_manager& m = vals.get_manager();
|
||||
expr_ref val(m);
|
||||
expr_ref_vector trail(m), reps(m);
|
||||
obj_map<expr, expr*> roots;
|
||||
for (unsigned i = 0; i < vals.size(); ++i) {
|
||||
expr* v = vals[i], *root;
|
||||
VERIFY (model.eval(v, val));
|
||||
if (roots.find(val, root)) {
|
||||
lits.push_back(m.mk_eq(v, root));
|
||||
}
|
||||
else {
|
||||
roots.insert(val, v);
|
||||
trail.push_back(val);
|
||||
reps.push_back(v);
|
||||
}
|
||||
}
|
||||
if (reps.size() > 1) {
|
||||
lits.push_back(mk_distinct(reps));
|
||||
}
|
||||
}
|
||||
|
||||
void project_plugin::partition_args(model& model, app_ref_vector const& selects, expr_ref_vector& lits) {
|
||||
ast_manager& m = selects.get_manager();
|
||||
if (selects.empty()) return;
|
||||
unsigned num_args = selects[0]->get_decl()->get_arity();
|
||||
for (unsigned j = 1; j < num_args; ++j) {
|
||||
expr_ref_vector args(m);
|
||||
for (unsigned i = 0; i < selects.size(); ++i) {
|
||||
args.push_back(selects[i]->get_arg(j));
|
||||
}
|
||||
project_plugin::partition_values(model, args, lits);
|
||||
}
|
||||
}
|
||||
|
||||
void project_plugin::erase(expr_ref_vector& lits, unsigned& i) {
|
||||
lits[i] = lits.back();
|
||||
lits.pop_back();
|
||||
--i;
|
||||
}
|
||||
|
||||
void project_plugin::push_back(expr_ref_vector& lits, expr* e) {
|
||||
if (lits.get_manager().is_true(e)) return;
|
||||
lits.push_back(e);
|
||||
}
|
||||
|
||||
|
||||
class mbp::impl {
|
||||
ast_manager& m;
|
||||
ptr_vector<project_plugin> m_plugins;
|
||||
|
||||
void add_plugin(project_plugin* p) {
|
||||
family_id fid = p->get_family_id();
|
||||
SASSERT(!m_plugins.get(fid, 0));
|
||||
m_plugins.setx(fid, p, 0);
|
||||
}
|
||||
|
||||
project_plugin* get_plugin(app* var) {
|
||||
family_id fid = m.get_sort(var)->get_family_id();
|
||||
return m_plugins.get(fid, 0);
|
||||
}
|
||||
|
||||
bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
|
||||
expr_mark is_var, is_rem;
|
||||
if (vars.empty()) {
|
||||
return false;
|
||||
}
|
||||
bool reduced = false;
|
||||
for (unsigned i = 0; i < vars.size(); ++i) {
|
||||
is_var.mark(vars[i].get());
|
||||
}
|
||||
expr_ref tmp(m), t(m), v(m);
|
||||
th_rewriter rw(m);
|
||||
for (unsigned i = 0; i < lits.size(); ++i) {
|
||||
expr* e = lits[i].get(), *l, *r;
|
||||
if (m.is_eq(e, l, r) && reduce_eq(is_var, l, r, v, t)) {
|
||||
reduced = true;
|
||||
lits[i] = lits.back();
|
||||
lits.pop_back();
|
||||
--i;
|
||||
expr_safe_replace sub(m);
|
||||
sub.insert(v, t);
|
||||
is_rem.mark(v);
|
||||
for (unsigned j = 0; j < lits.size(); ++j) {
|
||||
sub(lits[j].get(), tmp);
|
||||
rw(tmp);
|
||||
lits[j] = tmp;
|
||||
}
|
||||
}
|
||||
}
|
||||
if (reduced) {
|
||||
for (unsigned i = 0; i < vars.size(); ++i) {
|
||||
if (is_rem.is_marked(vars[i].get())) {
|
||||
vars[i] = vars.back();
|
||||
vars.pop_back();
|
||||
}
|
||||
}
|
||||
}
|
||||
return reduced;
|
||||
}
|
||||
|
||||
bool reduce_eq(expr_mark& is_var, expr* l, expr* r, expr_ref& v, expr_ref& t) {
|
||||
if (is_var.is_marked(r)) {
|
||||
std::swap(l, r);
|
||||
}
|
||||
if (is_var.is_marked(l)) {
|
||||
contains_app cont(m, to_app(l));
|
||||
if (!cont(r)) {
|
||||
v = to_app(l);
|
||||
t = r;
|
||||
return true;
|
||||
}
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
public:
|
||||
|
||||
void extract_literals(model& model, expr_ref_vector& fmls) {
|
||||
expr_ref val(m);
|
||||
for (unsigned i = 0; i < fmls.size(); ++i) {
|
||||
expr* fml = fmls[i].get(), *nfml, *f1, *f2, *f3;
|
||||
if (m.is_not(fml, nfml) && m.is_distinct(nfml)) {
|
||||
fmls[i] = project_plugin::pick_equality(m, model, nfml);
|
||||
--i;
|
||||
}
|
||||
else if (m.is_or(fml)) {
|
||||
for (unsigned j = 0; j < to_app(fml)->get_num_args(); ++j) {
|
||||
VERIFY (model.eval(to_app(fml)->get_arg(j), val));
|
||||
if (m.is_true(val)) {
|
||||
fmls[i] = to_app(fml)->get_arg(j);
|
||||
--i;
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
else if (m.is_and(fml)) {
|
||||
fmls.append(to_app(fml)->get_num_args(), to_app(fml)->get_args());
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_iff(fml, f1, f2) || (m.is_not(fml, nfml) && m.is_xor(nfml, f1, f2))) {
|
||||
VERIFY (model.eval(f1, val));
|
||||
if (m.is_false(val)) {
|
||||
f1 = mk_not(m, f1);
|
||||
f2 = mk_not(m, f2);
|
||||
}
|
||||
project_plugin::push_back(fmls, f1);
|
||||
project_plugin::push_back(fmls, f2);
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_implies(fml, f1, f2)) {
|
||||
VERIFY (model.eval(f2, val));
|
||||
if (m.is_true(val)) {
|
||||
project_plugin::push_back(fmls, f2);
|
||||
}
|
||||
else {
|
||||
project_plugin::push_back(fmls, mk_not(m, f1));
|
||||
}
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_ite(fml, f1, f2, f3)) {
|
||||
VERIFY (model.eval(f1, val));
|
||||
if (m.is_true(val)) {
|
||||
project_plugin::push_back(fmls, f2);
|
||||
}
|
||||
else {
|
||||
project_plugin::push_back(fmls, f3);
|
||||
}
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_not(fml, nfml) && m.is_not(nfml, nfml)) {
|
||||
project_plugin::push_back(fmls, nfml);
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_not(fml, nfml) && m.is_and(nfml)) {
|
||||
for (unsigned j = 0; j < to_app(nfml)->get_num_args(); ++j) {
|
||||
VERIFY (model.eval(to_app(nfml)->get_arg(j), val));
|
||||
if (m.is_false(val)) {
|
||||
fmls[i] = mk_not(m, to_app(nfml)->get_arg(j));
|
||||
--i;
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
else if (m.is_not(fml, nfml) && m.is_or(nfml)) {
|
||||
for (unsigned j = 0; j < to_app(nfml)->get_num_args(); ++j) {
|
||||
project_plugin::push_back(fmls, mk_not(m, to_app(nfml)->get_arg(j)));
|
||||
}
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if ((m.is_not(fml, nfml) && m.is_iff(nfml, f1, f2)) || m.is_xor(fml, f1, f2)) {
|
||||
VERIFY (model.eval(f1, val));
|
||||
if (m.is_true(val)) {
|
||||
f2 = mk_not(m, f2);
|
||||
}
|
||||
else {
|
||||
f1 = mk_not(m, f1);
|
||||
}
|
||||
project_plugin::push_back(fmls, f1);
|
||||
project_plugin::push_back(fmls, f2);
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_not(fml, nfml) && m.is_implies(nfml, f1, f2)) {
|
||||
project_plugin::push_back(fmls, f1);
|
||||
project_plugin::push_back(fmls, mk_not(m, f2));
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else if (m.is_not(fml, nfml) && m.is_ite(nfml, f1, f2, f3)) {
|
||||
VERIFY (model.eval(f1, val));
|
||||
if (m.is_true(val)) {
|
||||
project_plugin::push_back(fmls, mk_not(m, f2));
|
||||
}
|
||||
else {
|
||||
project_plugin::push_back(fmls, mk_not(m, f3));
|
||||
}
|
||||
project_plugin::erase(fmls, i);
|
||||
}
|
||||
else {
|
||||
// TBD other Boolean operations.
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
impl(ast_manager& m):m(m) {
|
||||
add_plugin(alloc(arith_project_plugin, m));
|
||||
add_plugin(alloc(datatype_project_plugin, m));
|
||||
add_plugin(alloc(array_project_plugin, m));
|
||||
}
|
||||
|
||||
~impl() {
|
||||
std::for_each(m_plugins.begin(), m_plugins.end(), delete_proc<project_plugin>());
|
||||
}
|
||||
|
||||
void preprocess_solve(model& model, app_ref_vector& vars, expr_ref_vector& fmls) {
|
||||
extract_literals(model, fmls);
|
||||
bool change = true;
|
||||
while (change && !vars.empty()) {
|
||||
change = solve(model, vars, fmls);
|
||||
for (unsigned i = 0; i < m_plugins.size(); ++i) {
|
||||
if (m_plugins[i] && m_plugins[i]->solve(model, vars, fmls)) {
|
||||
change = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void operator()(bool force_elim, app_ref_vector& vars, model& model, expr_ref_vector& fmls) {
|
||||
expr_ref val(m), tmp(m);
|
||||
app_ref var(m);
|
||||
th_rewriter rw(m);
|
||||
bool progress = true;
|
||||
while (progress && !vars.empty()) {
|
||||
preprocess_solve(model, vars, fmls);
|
||||
app_ref_vector new_vars(m);
|
||||
progress = false;
|
||||
while (!vars.empty()) {
|
||||
var = vars.back();
|
||||
vars.pop_back();
|
||||
project_plugin* p = get_plugin(var);
|
||||
if (p && (*p)(model, var, vars, fmls)) {
|
||||
progress = true;
|
||||
}
|
||||
else {
|
||||
new_vars.push_back(var);
|
||||
}
|
||||
}
|
||||
if (!progress && !new_vars.empty() && force_elim) {
|
||||
var = new_vars.back();
|
||||
new_vars.pop_back();
|
||||
expr_safe_replace sub(m);
|
||||
VERIFY(model.eval(var, val));
|
||||
sub.insert(var, val);
|
||||
for (unsigned i = 0; i < fmls.size(); ++i) {
|
||||
sub(fmls[i].get(), tmp);
|
||||
rw(tmp);
|
||||
if (m.is_true(tmp)) {
|
||||
fmls[i] = fmls.back();
|
||||
fmls.pop_back();
|
||||
--i;
|
||||
}
|
||||
else {
|
||||
fmls[i] = tmp;
|
||||
}
|
||||
}
|
||||
progress = true;
|
||||
}
|
||||
vars.append(new_vars);
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
mbp::mbp(ast_manager& m) {
|
||||
m_impl = alloc(impl, m);
|
||||
}
|
||||
|
||||
mbp::~mbp() {
|
||||
dealloc(m_impl);
|
||||
}
|
||||
|
||||
void mbp::operator()(bool force_elim, app_ref_vector& vars, model& mdl, expr_ref_vector& fmls) {
|
||||
(*m_impl)(force_elim, vars, mdl, fmls);
|
||||
}
|
||||
|
||||
void mbp::solve(model& model, app_ref_vector& vars, expr_ref_vector& fmls) {
|
||||
m_impl->preprocess_solve(model, vars, fmls);
|
||||
}
|
||||
|
||||
void mbp::extract_literals(model& model, expr_ref_vector& lits) {
|
||||
m_impl->extract_literals(model, lits);
|
||||
}
|
||||
76
src/qe/qe_mbp.h
Normal file
76
src/qe/qe_mbp.h
Normal file
|
|
@ -0,0 +1,76 @@
|
|||
/*++
|
||||
Copyright (c) 2015 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
qe_mbp.h
|
||||
|
||||
Abstract:
|
||||
|
||||
Model-based projection utilities
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2015-5-28
|
||||
|
||||
Revision History:
|
||||
|
||||
|
||||
--*/
|
||||
|
||||
#ifndef __QE_MBP_H__
|
||||
#define __QE_MBP_H__
|
||||
|
||||
#include "ast.h"
|
||||
#include "params.h"
|
||||
#include "model.h"
|
||||
|
||||
|
||||
namespace qe {
|
||||
|
||||
struct cant_project {};
|
||||
|
||||
class project_plugin {
|
||||
public:
|
||||
virtual ~project_plugin() {}
|
||||
virtual bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) = 0;
|
||||
virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) = 0;
|
||||
virtual family_id get_family_id() = 0;
|
||||
|
||||
static expr_ref pick_equality(ast_manager& m, model& model, expr* t);
|
||||
static void partition_values(model& model, expr_ref_vector const& vals, expr_ref_vector& lits);
|
||||
static void partition_args(model& model, app_ref_vector const& sels, expr_ref_vector& lits);
|
||||
static void erase(expr_ref_vector& lits, unsigned& i);
|
||||
static void push_back(expr_ref_vector& lits, expr* lit);
|
||||
};
|
||||
|
||||
class mbp {
|
||||
class impl;
|
||||
impl * m_impl;
|
||||
public:
|
||||
mbp(ast_manager& m);
|
||||
|
||||
~mbp();
|
||||
|
||||
/**
|
||||
\brief
|
||||
Apply model-based qe on constants provided as vector of variables.
|
||||
Return the updated formula and updated set of variables that were not eliminated.
|
||||
*/
|
||||
void operator()(bool force_elim, app_ref_vector& vars, model& mdl, expr_ref_vector& fmls);
|
||||
|
||||
/**
|
||||
\brief
|
||||
Solve as many variables as possible using "cheap" quantifier elimination"
|
||||
*/
|
||||
void solve(model& model, app_ref_vector& vars, expr_ref_vector& lits);
|
||||
|
||||
/**
|
||||
\brief
|
||||
Extract literals from formulas based on model.
|
||||
*/
|
||||
void extract_literals(model& model, expr_ref_vector& lits);
|
||||
};
|
||||
}
|
||||
|
||||
#endif
|
||||
Loading…
Add table
Add a link
Reference in a new issue