mirror of
https://github.com/Z3Prover/z3
synced 2025-11-04 05:19:11 +00:00
fixes to ho-matcher
This commit is contained in:
Nikolaj Bjorner
parent
3ccf7a695b
commit
2d1a42d53f
2 changed files with 136 additions and 168 deletions
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@ -245,6 +245,11 @@ public:
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return mk_select(2, args);
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}
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app* mk_select(expr* a, expr* i, expr* j) const {
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expr* args[3] = { a, i, j };
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return mk_select(3, args);
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}
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app * mk_select(unsigned num_args, expr * const * args) const {
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return m_manager.mk_app(m_fid, OP_SELECT, 0, nullptr, num_args, args);
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}
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@ -29,7 +29,7 @@ namespace euf {
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bool m_in_scope = false;
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public:
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void initialize_backtrack() {
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void set_init() {
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m_state = state::init_s;
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m_index = 0;
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m_in_scope = false;
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@ -42,6 +42,7 @@ namespace euf {
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void set_app() { m_state = state::app_s; m_index = 0; }
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void set_done() { m_state = state::done_s; }
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void inc_index() { ++m_index; }
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void set_index(unsigned i) { m_index = i; }
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unsigned index() const { return m_index; }
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bool in_scope() const { return m_in_scope; }
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void set_in_scope(bool f = true) { m_in_scope = f; }
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@ -70,26 +71,14 @@ namespace euf {
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return !(*this == other);
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}
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match_goal(unsigned level, unsigned offset, expr_ref const& pat, expr_ref const& t) noexcept : base_offset(offset), pat(pat), t(t), level(level) {}
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match_goal(match_goal const& other) noexcept :
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pat(other.pat), t(other.t), delta_offset(other.delta_offset),
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base_offset(other.base_offset), level(other.level) {}
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match_goal& operator=(match_goal const& other) noexcept {
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if (this != &other) {
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pat = other.pat;
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t = other.t;
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level = other.level;
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base_offset = other.base_offset;
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delta_offset = other.delta_offset;
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}
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return *this;
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}
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match_goal(unsigned level, unsigned offset, expr_ref const& pat, expr_ref const& t) noexcept :
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base_offset(offset), pat(pat), t(t), level(level) {}
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unsigned term_offset() const { return base_offset + delta_offset; }
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unsigned pat_offset() const { return delta_offset; }
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unsigned pat_offset() const { return base_offset + delta_offset; }
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std::ostream& display(std::ostream& out) const {
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return out << "[" << level << ":" << delta_offset << "] " << pat << " ~ " << t << "\n";
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return out << "[" << level << ":" << base_offset + delta_offset << "] " << pat << " ~ " << t << "\n";
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}
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};
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@ -327,8 +316,6 @@ namespace euf {
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void add_binding(var* v, unsigned offset, expr* t);
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expr_ref mk_project(unsigned i, sort* array_sort);
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expr_ref mk_project(unsigned num_lambdas, unsigned xi, sort* array_sort);
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void bind_lambdas(unsigned j, sort* s, expr_ref& body);
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@ -358,6 +345,8 @@ namespace euf {
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void operator()(expr *pat, expr *t, unsigned num_vars);
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void operator()(expr* pat, expr* t, unsigned num_bound, unsigned num_vars);
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void reduce(match_goal& wi);
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trail_stack& trail() { return m_trail; }
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@ -407,15 +396,19 @@ namespace euf {
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namespace euf {
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void ho_matcher::operator()(expr* pat, expr* t, unsigned num_vars) {
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void ho_matcher::operator()(expr* pat, expr* t, unsigned num_vars) {
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(*this)(pat, t, 0, num_vars);
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}
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void ho_matcher::operator()(expr* pat, expr* t, unsigned num_bound, unsigned num_vars) {
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m_trail.push_scope();
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m_subst.resize(num_vars);
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m_goals.reset();
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m_goals.push(0, 0, pat, t);
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m_goals.push(0, num_bound, pat, t);
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IF_VERBOSE(1, display(verbose_stream()));
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while (true) {
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while (m.inc()) {
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// Q, B -> Q', B'. Push work on the backtrack stack and new work items
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// e, Bw -> Q', B'. Consume backtrack stack
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if (!m_goals.empty())
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@ -442,10 +435,8 @@ namespace euf {
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auto& wi = *m_backtrack.back();
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if (consume_work(wi)) {
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IF_VERBOSE(3, display(verbose_stream() << "ho_matcher::consume_work: " << wi.pat << " =?= " << wi.t << " -> true\n"););
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if (m_goals.empty()) {
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m_on_match(m_subst);
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backtrack();
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}
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if (m_goals.empty())
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m_on_match(m_subst);
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break;
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}
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else {
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@ -480,26 +471,28 @@ namespace euf {
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auto p1 = m_subst.get(to_var(p)->get_idx() - o1);
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if (p1)
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return are_equal(0, p1, o2, t);
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return l_undef;
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}
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if (is_meta_var(t, o2)) {
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auto t1 = m_subst.get(to_var(t)->get_idx() - o2);
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if (t1)
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return are_equal(o1, p, 0, t1);
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return l_undef;
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}
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if (is_bound_var(p, o1) || is_bound_var(t, o2))
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return to_lbool(p == t);
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if (m_unitary.is_flex(o1, p)) {
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expr_ref h = whnf(p, o1);
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if (h != p)
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return are_equal(o1, h, o2, t);
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return l_undef;
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}
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if (m_unitary.is_flex(o2, t)) {
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expr_ref h = whnf(t, o2);
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if (h != t)
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return are_equal(o1, p, o2, h);
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return l_undef;
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}
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if (m_array.is_select(p))
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return l_undef; // TODO: interleave check with whnf expansion
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@ -518,6 +511,9 @@ namespace euf {
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}
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return l_true;
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}
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if (is_bound_var(p, o1) || is_bound_var(t, o2))
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return to_lbool(p == t);
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return l_undef;
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}
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@ -588,29 +584,25 @@ namespace euf {
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// We assume that m_rewriter should produce
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// something amounting to weak-head normal form WHNF
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// TODO: also unfold binding
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void ho_matcher::reduce(match_goal& wi) {
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bool change = true;
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while (change) {
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change = false;
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while (true) {
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expr_ref r = whnf(wi.pat, wi.pat_offset());
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if (r != wi.pat) {
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IF_VERBOSE(3, verbose_stream() << "ho_matcher::reduce: " << wi.pat << " -> " << r << "\n";);
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wi.pat = r;
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change = true;
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}
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r = whnf(wi.t, wi.term_offset());
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if (r != wi.t) {
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IF_VERBOSE(3, verbose_stream() << "ho_matcher::reduce: " << wi.t << " -> " << r << "\n";);
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wi.t = r;
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change = true;
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}
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}
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if (r == wi.pat)
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break;
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IF_VERBOSE(3, verbose_stream() << "ho_matcher::reduce: " << wi.pat << " -> " << r << "\n";);
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wi.pat = r;
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}
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while (true) {
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expr_ref r = whnf(wi.t, wi.term_offset());
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if (r == wi.t)
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break;
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IF_VERBOSE(3, verbose_stream() << "ho_matcher::reduce: " << wi.t << " -> " << r << "\n";);
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wi.t = r;
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}
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}
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bool ho_matcher::consume_work(match_goal &wi) {
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// IF_VERBOSE(1, display(verbose_stream() << "ho_matcher::consume_work: " << wi.pat << " =?= " << wi.t << "\n"););
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@ -645,8 +637,7 @@ namespace euf {
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if (is_meta_var(p, wi.pat_offset()) && is_closed(t, 0, wi.term_offset())) {
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auto v = to_var(p);
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auto idx = v->get_idx() - wi.pat_offset();
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if (m_subst.get(idx))
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return to_lbool(m_subst.get(idx) == t);
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SASSERT(!m_subst.get(idx)); // reduce ensures meta variables are not in substitutions
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add_binding(v, wi.pat_offset(), t);
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wi.set_done();
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return true;
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@ -676,7 +667,6 @@ namespace euf {
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if (m_array.is_select(p) && m_unitary.is_flex(wi.pat_offset(), p) && is_pattern(p, wi.pat_offset(), t)) {
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auto lam = abstract_pattern(p, wi.pat_offset(), t);
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expr* v = p;
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while (m_array.is_select(p))
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p = to_app(p)->get_arg(0);
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SASSERT(is_meta_var(p, wi.pat_offset()));
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@ -686,6 +676,7 @@ namespace euf {
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}
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// Flex head general case
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if (m_array.is_select(p) && m_unitary.is_flex(wi.pat_offset(), p)) {
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ptr_vector<app> pats;
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auto p1 = p;
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@ -703,15 +694,17 @@ namespace euf {
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unsigned i = 0;
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for (auto pa : pats) {
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for (auto pi : array_select_indices(pa)) {
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if (start <= i && pi->get_sort() == t->get_sort()) {
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if (start <= i && pi->get_sort() == t->get_sort()) {
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auto eq = are_equal(wi.pat_offset(), pi, wi.term_offset(), t);
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if (eq == l_false)
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if (eq == l_false) {
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++i;
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continue;
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}
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auto e = mk_project(pats.size(), i, v->get_sort());
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add_binding(v, wi.pat_offset(), e);
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if (eq == l_undef)
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m_goals.push(wi.level, wi.pat_offset(), pi, t);
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wi.inc_index();
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wi.set_index(i + 1);
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return true;
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}
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++i;
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@ -719,7 +712,7 @@ namespace euf {
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}
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}
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// TBD: H p1 p2 = \x . t not handled
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SASSERT(!is_lambda(t));
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if (!is_app(t))
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return false;
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@ -736,36 +729,44 @@ namespace euf {
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m_trail.push(undo_resize(m_subst));
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}
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// H (p1) (p2) = f(t1, .., tn)
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// H -> \x1 \x2 f(H1(x1, x2), .., Hn(x1, x2))
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// H1(p1, p2) = t1, .., Hn(p1, p2) = tn
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ptr_vector<sort> domain;
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ptr_vector<sort> domain, pat_domain;
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ptr_vector<expr> pat_args;
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expr_ref_vector args(m), pat_vars(m), bound_args(m);
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vector<symbol> names;
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pat_args.push_back(nullptr);
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pat_vars.push_back(nullptr);
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unsigned num_bound = 0;
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expr_mark seen;
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for (auto pat : pats) {
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for (auto pi : array_select_indices(pat)) {
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++num_bound;
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domain.push_back(pi->get_sort());
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pat_args.push_back(pi);
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names.push_back(symbol(num_bound++));
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names.push_back(symbol(num_bound));
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if (seen.is_marked(pi))
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continue;
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pat_domain.push_back(pi->get_sort());
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pat_args.push_back(pi);
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seen.mark(pi);
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}
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}
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unsigned i = 0;
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for (auto pat : pats)
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for (auto pi : array_select_indices(pat))
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pat_vars.push_back(m.mk_var(num_bound - (--i), pi->get_sort()));
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for (unsigned i = pat_args.size(); i-- > 1; ) {
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auto pi = pat_args.get(i);
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pat_vars.push_back(m.mk_var(pat_args.size() - i - 1, pi->get_sort()));
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}
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for (auto ti : *ta) {
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auto v = m.mk_var(m_subst.size() + wi.pat_offset(), m_array.mk_array_sort(domain.size(), domain.data(), ti->get_sort()));
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sort* v_sort = m_array.mk_array_sort(pat_domain.size(), pat_domain.data(), ti->get_sort());
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auto v = m.mk_var(m_subst.size() + wi.pat_offset(), v_sort);
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auto w = m.mk_var(m_subst.size() + wi.pat_offset() + num_bound, v_sort); // shifted by number of bound
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m_subst.resize(m_subst.size() + 1);
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pat_args[0] = v;
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auto sel = m_array.mk_select(pat_args.size(), pat_args.data());
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m_goals.push(wi.level, wi.term_offset(), sel, ti);
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pat_vars[0] = v;
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pat_vars[0] = w;
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sel = m_array.mk_select(pat_vars.size(), pat_vars.data());
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bound_args.push_back(sel);
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}
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@ -780,6 +781,7 @@ namespace euf {
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lam = m.mk_lambda(sz, domain.data() + num_bound, names.data() + num_bound, lam);
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}
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add_binding(v, wi.pat_offset(), lam);
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wi.set_done();
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return true;
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}
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return false;
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@ -903,8 +905,7 @@ namespace euf {
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}
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var_subst sub(m, false);
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expr_ref lam = sub(t, pat2bound);
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unsigned j = 0;
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for (unsigned i = pats.size(); i-- > 0; ) {
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for (unsigned i = pats.size(), j = 0; i-- > 0; ) {
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vector<symbol> names;
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ptr_vector<sort> sorts;
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for (unsigned k = 1; k < pats[i]->get_num_args(); ++k) {
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@ -934,31 +935,15 @@ namespace euf {
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return false;
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}
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// T1,.., Ti, .., Tn -> Ti => lambda x1, .., xn . xi
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expr_ref ho_matcher::mk_project(unsigned i, sort* s) {
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SASSERT(m_array.is_array(s));
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unsigned sz = get_array_arity(s);
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expr_ref body(m);
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ptr_vector<sort> decl_sorts;
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vector<symbol> decl_names;
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SASSERT(i < sz);
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for (unsigned j = 0; j < sz; ++j) {
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decl_sorts.push_back(get_array_domain(s, j));
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decl_names.push_back(symbol(j));
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}
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body = m.mk_var(sz - i - 1, get_array_domain(s, i));
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return expr_ref(m.mk_lambda(sz, decl_sorts.data(), decl_names.data(), body), m);
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}
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// (T1, T2,.., Tn) -> (Tn+1,.., Ti,.., Tm) -> Ti => lambda x1...xn . lambda x_n+1,..x_m . x_i
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expr_ref ho_matcher::mk_project(unsigned num_lambdas, unsigned i, sort* s) {
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SASSERT(num_lambdas > 1);
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SASSERT(num_lambdas > 0);
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SASSERT(m_array.is_array(s));
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unsigned num_binders = 0;
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expr_ref body(m);
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sort* a = s, * var_sort = nullptr;
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unsigned j = i;
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for (unsigned j = 0; j < num_lambdas; ++j) {
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for (unsigned k = 0; k < num_lambdas; ++k) {
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auto arity = get_array_arity(a);
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if (j >= arity)
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j -= arity;
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@ -967,13 +952,14 @@ namespace euf {
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num_binders += arity;
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a = get_array_range(a);
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}
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SASSERT(var_sort);
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body = m.mk_var(num_binders - i - 1, var_sort);
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bind_lambdas(num_lambdas, s, body);
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return body;
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}
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void ho_matcher::bind_lambdas(unsigned j, sort* s, expr_ref& body) {
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if (j > 0)
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if (j > 1)
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bind_lambdas(j - 1, get_array_range(s), body);
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unsigned sz = get_array_arity(s);
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ptr_vector<sort> decl_sorts;
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@ -985,7 +971,6 @@ namespace euf {
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body = m.mk_lambda(sz, decl_sorts.data(), decl_names.data(), body);
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}
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void ho_matcher::add_binding(var* v, unsigned offset, expr* t) {
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SASSERT(v->get_idx() >= offset);
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m_subst.set(v->get_idx() - offset, t);
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@ -1031,19 +1016,20 @@ namespace euf {
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}
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}
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match_goal* match_goals::pop() {
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SASSERT(!empty());
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if (m_cheap)
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return pop(m_cheap);
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auto* wi = m_expensive;
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do {
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match_goal save_wi(wi->level, wi->term_offset(), wi->pat, wi->t);
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expr_ref pat(wi->pat), t(wi->t);
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ho.reduce(*wi);
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if (*wi == save_wi)
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if (pat == wi->pat && t == wi->t)
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continue;
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ho.trail().push(update_value(*wi, save_wi));
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if (pat != wi->pat)
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ho.trail().push(update_value(wi->pat, pat));
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if (t != wi->t)
|
||||
ho.trail().push(update_value(wi->t, t));
|
||||
if (ho.is_cheap(*wi)) {
|
||||
dll_base<match_goal>::remove_from(m_expensive, wi);
|
||||
match_goal::push_to_front(m_cheap, wi);
|
||||
|
|
@ -1063,7 +1049,7 @@ namespace euf {
|
|||
SASSERT(ws);
|
||||
auto* wi = ws->pop(ws);
|
||||
ho.trail().push(insert_dll(ws, wi)); // insert wi into ws
|
||||
wi->initialize_backtrack();
|
||||
wi->set_init();
|
||||
return wi;
|
||||
}
|
||||
|
||||
|
|
@ -1119,6 +1105,7 @@ namespace euf {
|
|||
args.push_back(zero);
|
||||
expr_ref t(m.mk_app(m_f, args), m);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
IF_VERBOSE(0, verbose_stream() << "test2 " << pat << " ~ " << t << "\n");
|
||||
m_matcher(pat, t, 2);
|
||||
}
|
||||
|
||||
|
|
@ -1137,6 +1124,7 @@ namespace euf {
|
|||
args.push_back(zero);
|
||||
expr_ref t(m.mk_app(m_f, args), m);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
IF_VERBOSE(0, verbose_stream() << "test2 " << pat << " ~ " << t << "\n");
|
||||
m_matcher(pat, t, 1);
|
||||
}
|
||||
|
||||
|
|
@ -1148,6 +1136,7 @@ namespace euf {
|
|||
expr_ref one(m_arith.mk_int(1), m);
|
||||
expr_ref p(m_array.mk_select(v0, one), m);
|
||||
m_matcher.add_pattern(p.get());
|
||||
IF_VERBOSE(0, verbose_stream() << "test3 " << p << " ~ " << zero << "\n");
|
||||
m_matcher(p, zero, 1);
|
||||
}
|
||||
|
||||
|
|
@ -1158,6 +1147,7 @@ namespace euf {
|
|||
expr_ref one(m_arith.mk_int(1), m);
|
||||
expr_ref p(m_array.mk_select(v0, one), m);
|
||||
m_matcher.add_pattern(p.get());
|
||||
IF_VERBOSE(0, verbose_stream() << "test4 " << p << " ~ " << one << "\n");
|
||||
m_matcher(p, one, 1);
|
||||
}
|
||||
|
||||
|
|
@ -1193,96 +1183,69 @@ namespace euf {
|
|||
m_matcher(pat, s, 4);
|
||||
}
|
||||
|
||||
//
|
||||
// test patterns
|
||||
// H (2, 0) = f(2)
|
||||
// G (1) (2, 0) = f(1, 2)
|
||||
// G (1) (2, 1) = f(1, 2) // not unitary
|
||||
// H (0, 1) = f(2) // fail
|
||||
void test6() {
|
||||
sort_ref intint2int(m_array.mk_array_sort(m_int, m_int, m_int), m);
|
||||
func_decl_ref f1(m.mk_func_decl(symbol("f"), m_int, m_int), m);
|
||||
func_decl_ref f2(m.mk_func_decl(symbol("f"), m_int, m_int, m_int), m);
|
||||
expr_ref v0(m.mk_var(0, m_int), m);
|
||||
expr_ref v1(m.mk_var(1, m_int), m);
|
||||
expr_ref v2(m.mk_var(2, m_int), m);
|
||||
expr_ref H(m.mk_var(3, intint2int), m);
|
||||
expr* args[3] = { H.get(), v2, v0 };
|
||||
expr_ref pat(m_array.mk_select(3, args), m);
|
||||
expr_ref t(m.mk_app(f1.get(), v2), m);
|
||||
IF_VERBOSE(0, verbose_stream() << "test6a: " << pat << " =?= " << t << "\n";);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
m_matcher(pat, t, 3, 1);
|
||||
|
||||
expr* args2[3] = { H.get(), v1, v0 };
|
||||
pat = m_array.mk_select(3, args2);
|
||||
t = m.mk_app(f2.get(), v0, v1);
|
||||
IF_VERBOSE(0, verbose_stream() << "test6b: " << pat << " =?= " << t << "\n";);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
m_matcher(pat, t, 3, 1);
|
||||
|
||||
sort_ref int2intt(m_array.mk_array_sort(m_int, intint2int), m);
|
||||
expr_ref(m.mk_var(3, int2intt), m);
|
||||
expr_ref G(m.mk_var(3, int2intt), m);
|
||||
pat = m_array.mk_select(G.get(), v1);
|
||||
pat = m_array.mk_select(pat.get(), v2, v0);
|
||||
t = m.mk_app(f2.get(), v1, v2);
|
||||
IF_VERBOSE(0, verbose_stream() << "test6c: " << pat << " =?= " << t << "\n";);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
m_matcher(pat, t, 3, 1);
|
||||
|
||||
pat = m_array.mk_select(G, v1);
|
||||
pat = m_array.mk_select(pat, v2, v1);
|
||||
IF_VERBOSE(0, verbose_stream() << "test6d: " << pat << " =?= " << t << "\n";);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
m_matcher(pat, t, 3, 1);
|
||||
|
||||
pat = m_array.mk_select(H, v0, v2);
|
||||
IF_VERBOSE(0, verbose_stream() << "test6e: " << pat << " =?= " << t << "\n";);
|
||||
m_matcher.add_pattern(pat.get());
|
||||
m_matcher(pat, t, 3, 1);
|
||||
}
|
||||
};
|
||||
|
||||
#if 0
|
||||
void ho_matcher::apps(unsigned sz, sort* const* domain, expr_ref_vector& ts,
|
||||
vector<expr_ref_vector>& sts, unsigned_vector& sts_start, unsigned_vector& sts_end) {
|
||||
vector<unsigned_vector> starts, ends;
|
||||
for (unsigned i = 0; i < sz; ++i) {
|
||||
unsigned_vector sts_start_i, sts_end_i;
|
||||
expr_ref_vector sts_i(m);
|
||||
expr* t = nullptr; // TODO
|
||||
apps(domain[sz - i - 1], t, sz - i - 1, ts, sts_i, sts_start_i, sts_end_i);
|
||||
starts.push_back(sts_start_i);
|
||||
ends.push_back(sts_end_i);
|
||||
sts.push_back(sts_i);
|
||||
}
|
||||
// perform another level of blend helper.
|
||||
}
|
||||
|
||||
// all possible abstactions for subterms of type s in t.
|
||||
void ho_matcher::apps(sort* s, expr* t, unsigned i, expr_ref_vector& ts, expr_ref_vector& sts, unsigned_vector& sts_start, unsigned_vector& sts_end) {
|
||||
var_ref v(m.mk_var(i, s), m);
|
||||
for (auto st : subterms::all(expr_ref(t, m))) { // ground vs non-ground?
|
||||
if (st->get_sort() == s) {
|
||||
sts.push_back(st);
|
||||
unsigned start = ts.size();
|
||||
// abstract st in t
|
||||
abstract(st, t, v.get(), ts, start);
|
||||
sts_start.push_back(start);
|
||||
sts_end.push_back(ts.size());
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// abstract 1, 2, .. occurrences of s in t
|
||||
// return list of ts
|
||||
void ho_matcher::abstract(expr* s, expr* t, var* v, expr_ref_vector& ts, unsigned& start) {
|
||||
|
||||
if (is_app(t) && get_depth(s) > get_depth(t)) {
|
||||
auto ta = to_app(t);
|
||||
unsigned_vector pos;
|
||||
for (auto arg : *ta) {
|
||||
pos.push_back(ts.size());
|
||||
// abstract(s, arg, v, ts);
|
||||
}
|
||||
pos.push_back(ts.size());
|
||||
//
|
||||
// now merge the sub-intervals ts_1, .., ts_n
|
||||
// where each sub-interval starts at pos_1, ., pos_n
|
||||
// into terms f(ts_1[i], .., ts_n[j]) for i, j
|
||||
// remove intermediary terms from ts after the merge.
|
||||
//
|
||||
expr_ref_vector args(m);
|
||||
blend_helper(ts, pos, ta->get_decl(), 0, args);
|
||||
start = pos.back();
|
||||
return;
|
||||
}
|
||||
|
||||
ts.push_back(t);
|
||||
if (s == t)
|
||||
ts.push_back(v);
|
||||
}
|
||||
|
||||
void ho_matcher::blend_helper(expr_ref_vector& ts, unsigned_vector const& pos, func_decl* f, unsigned i, expr_ref_vector& args) {
|
||||
if (i == pos.size() - 1) {
|
||||
ts.push_back(m.mk_app(f, args));
|
||||
return;
|
||||
}
|
||||
for (unsigned j = pos[i]; j < pos[i + 1]; ++j) {
|
||||
args.push_back(ts.get(j));
|
||||
blend_helper(ts, pos, f, i + 1, args);
|
||||
args.pop_back();
|
||||
}
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
}
|
||||
|
||||
void tst_ho_matcher() {
|
||||
euf::test_ho_matcher tm;
|
||||
try {
|
||||
try {
|
||||
tm.test1();
|
||||
tm.test2();
|
||||
tm.test3();
|
||||
tm.test4();
|
||||
tm.test5();
|
||||
tm.test6();
|
||||
}
|
||||
catch (std::exception const& ex) {
|
||||
std::cout << ex.what() << "\n";
|
||||
}
|
||||
}
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue