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euf
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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23 changed files with 1338 additions and 39 deletions
302
src/ast/euf/euf_egraph.cpp
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302
src/ast/euf/euf_egraph.cpp
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/*++
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Copyright (c) 2020 Microsoft Corporation
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Module Name:
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euf_egraph.cpp
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Abstract:
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E-graph layer
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Author:
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Nikolaj Bjorner (nbjorner) 2020-08-23
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--*/
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#include "ast/euf/euf_egraph.h"
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namespace euf {
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void egraph::undo_eq(enode* r1, enode* n1, unsigned r2_num_parents) {
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enode* r2 = r1->get_root();
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r2->dec_class_size(r1->class_size());
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std::swap(r1->m_next, r2->m_next);
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auto begin = r2->begin_parents() + r2_num_parents, end = r2->end_parents();
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for (auto it = begin; it != end; ++it)
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m_table.erase(*it);
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for (enode* c : enode_class(r1))
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c->m_root = r1;
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for (auto it = begin; it != end; ++it)
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m_table.insert(*it);
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r2->m_parents.shrink(r2_num_parents);
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unmerge_justification(n1);
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}
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enode* egraph::mk_enode(expr* f, enode * const* args) {
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unsigned num_args = is_app(f) ? to_app(f)->get_num_args() : 0;
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enode* n = enode::mk(m_region, f, num_args, args);
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m_nodes.push_back(n);
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m_exprs.push_back(f);
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return n;
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}
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void egraph::reinsert(enode* n) {
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unsigned num_parents = n->m_parents.size();
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for (unsigned i = 0; i < num_parents; ++i) {
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enode* p = n->m_parents[i];
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if (is_equality(p)) {
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reinsert_equality(p);
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}
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else {
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auto rc = m_table.insert(p);
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merge(rc.first, p, justification::congruence(rc.second));
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if (inconsistent())
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break;
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}
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}
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}
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void egraph::reinsert_equality(enode* p) {
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if (p->get_arg(0)->get_root() == p->get_arg(1)->get_root())
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m_new_eqs.push_back(p);
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}
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bool egraph::is_equality(enode* p) const {
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return m.is_eq(p->get_owner());
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}
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void egraph::dedup_equalities() {
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unsigned j = 0;
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for (enode* p : m_new_eqs) {
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if (!p->is_marked1())
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m_new_eqs[j++] = p;
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p->mark1();
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}
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for (enode* p : m_new_eqs)
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p->unmark1();
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m_new_eqs.shrink(j);
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}
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void egraph::force_push() {
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for (; m_num_scopes > 0; --m_num_scopes) {
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scope s;
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s.m_inconsistent = m_inconsistent;
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s.m_num_eqs = m_eqs.size();
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s.m_num_nodes = m_nodes.size();
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m_scopes.push_back(s);
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m_region.push_scope();
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}
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}
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void egraph::update_children(enode* n) {
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for (enode* child : enode_args(n))
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child->get_root()->add_parent(n);
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n->set_update_children();
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}
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enode* egraph::mk(expr* f, enode *const* args) {
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SASSERT(!find(f));
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force_push();
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enode *n = mk_enode(f, args);
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SASSERT(n->class_size() == 1);
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m_expr2enode.setx(f->get_id(), n, nullptr);
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if (n->num_args() == 0 && m.is_unique_value(f))
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n->mark_interpreted();
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if (n->num_args() == 0)
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return n;
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if (is_equality(n)) {
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update_children(n);
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return n;
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}
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enode_bool_pair p = m_table.insert(n);
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enode* r = p.first;
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if (r == n) {
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update_children(n);
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}
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else {
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SASSERT(r->get_owner() != n->get_owner());
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merge_justification(n, r, justification::congruence(p.second));
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std::swap(n->m_next, r->m_next);
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n->m_root = r;
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r->inc_class_size(n->class_size());
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push_eq(n, n, r->num_parents());
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}
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return n;
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}
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void egraph::pop(unsigned num_scopes) {
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if (num_scopes <= m_num_scopes) {
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m_num_scopes -= num_scopes;
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return;
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}
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num_scopes -= m_num_scopes;
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unsigned old_lim = m_scopes.size() - num_scopes;
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scope s = m_scopes[old_lim];
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for (unsigned i = m_eqs.size(); i-- > s.m_num_eqs; ) {
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auto const& p = m_eqs[i];
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undo_eq(p.r1, p.n1, p.r2_num_parents);
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}
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for (unsigned i = m_nodes.size(); i-- > s.m_num_nodes; ) {
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enode* n = m_nodes[i];
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if (n->num_args() > 1)
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m_table.erase(n);
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m_expr2enode[n->get_owner_id()] = nullptr;
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n->~enode();
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}
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m_inconsistent = s.m_inconsistent;
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m_eqs.shrink(s.m_num_eqs);
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m_nodes.shrink(s.m_num_nodes);
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m_exprs.shrink(s.m_num_nodes);
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m_scopes.shrink(old_lim);
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m_region.pop_scope(num_scopes);
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}
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void egraph::merge(enode* n1, enode* n2, justification j) {
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SASSERT(m.get_sort(n1->get_owner()) == m.get_sort(n2->get_owner()));
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TRACE("euf", tout << n1->get_owner_id() << " == " << n2->get_owner_id() << "\n";);
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force_push();
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enode* r1 = n1->get_root();
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enode* r2 = n2->get_root();
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if (r1 == r2)
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return;
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if (r1->interpreted() && r2->interpreted()) {
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set_conflict(r1, r2, j);
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return;
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}
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if ((r1->class_size() > r2->class_size() && !r1->interpreted()) || r2->interpreted()) {
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std::swap(r1, r2);
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std::swap(n1, n2);
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}
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for (enode* p : enode_parents(n1))
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m_table.erase(p);
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for (enode* p : enode_parents(n2))
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m_table.erase(p);
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push_eq(r1, n1, r2->num_parents());
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merge_justification(n1, n2, j);
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for (enode* c : enode_class(n1))
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c->m_root = r2;
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std::swap(r1->m_next, r2->m_next);
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r2->inc_class_size(r1->class_size());
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r2->m_parents.append(r1->m_parents);
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m_worklist.push_back(r2);
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}
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void egraph::propagate() {
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m_new_eqs.reset();
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SASSERT(m_num_scopes == 0 || m_worklist.empty());
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unsigned head = 0, tail = m_worklist.size();
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while (head < tail && m.limit().inc() && !inconsistent()) {
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TRACE("euf", tout << "iterate: " << head << " " << tail << "\n";);
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for (unsigned i = head; i < tail && !inconsistent(); ++i) {
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enode* n = m_worklist[i]->get_root();
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if (!n->is_marked1()) {
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n->mark1();
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m_worklist[i] = n;
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reinsert(n);
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}
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}
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for (unsigned i = head; i < tail; ++i)
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m_worklist[i]->unmark1();
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head = tail;
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tail = m_worklist.size();
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}
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m_worklist.reset();
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dedup_equalities();
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}
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void egraph::set_conflict(enode* n1, enode* n2, justification j) {
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if (m_inconsistent)
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return;
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m_inconsistent = true;
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m_n1 = n1;
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m_n2 = n2;
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m_justification = j;
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}
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void egraph::merge_justification(enode* n1, enode* n2, justification j) {
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SASSERT(n1->reaches(n1->get_root()));
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n1->reverse_justification();
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n1->m_target = n2;
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n1->m_justification = j;
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SASSERT(n1->get_root()->reaches(n1));
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}
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void egraph::unmerge_justification(enode* n1) {
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// r1 -> .. -> n1 -> n2 -> ... -> r2
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// where n2 = n1->m_target
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SASSERT(n1->get_root()->reaches(n1));
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n1->m_target = nullptr;
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n1->m_justification = justification::axiom();
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n1->get_root()->reverse_justification();
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// ---------------
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// n1 -> ... -> r1
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// n2 -> ... -> r2
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SASSERT(n1->reaches(n1->get_root()));
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SASSERT(n1->get_root()->m_target == nullptr);
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}
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template <typename T>
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void egraph::explain(ptr_vector<T>& justifications) {
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SASSERT(m_inconsistent);
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SASSERT(m_todo.empty());
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m_todo.push_back(m_n1);
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m_todo.push_back(m_n2);
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auto push_congruence = [&](enode* p, enode* q) {
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SASSERT(p->get_decl() == q->get_decl());
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for (enode* arg : enode_args(p))
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m_todo.push_back(arg);
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for (enode* arg : enode_args(q))
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m_todo.push_back(arg);
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};
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auto explain_node = [&](enode* n) {
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if (!n->m_target)
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return;
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if (n->is_marked1())
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return;
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n->mark1();
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if (n->m_justification.is_external())
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justifications.push_back(n->m_justification.ext<T>());
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else if (n->m_justification.is_congruence())
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push_congruence(n, n->m_target);
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n = n->m_target;
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if (!n->is_marked1())
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m_todo.push_back(n);
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};
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if (m_justification.is_external())
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justifications.push_back(m_justification.ext<T>());
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for (unsigned i = 0; i < m_todo.size(); ++i)
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explain_node(m_todo[i]);
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for (enode* n : m_todo)
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n->unmark1();
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}
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void egraph::invariant() {
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for (enode* n : m_nodes)
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n->invariant();
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}
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std::ostream& egraph::display(std::ostream& out) const {
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m_table.display(out);
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for (enode* n : m_nodes) {
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out << std::setw(5)
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<< n->get_owner_id() << " := ";
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out << n->get_root()->get_owner_id() << " ";
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expr* f = n->get_owner();
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if (is_app(f))
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out << to_app(f)->get_decl()->get_name() << " ";
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else if (is_quantifier(f))
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out << "q ";
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else
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out << "v ";
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for (enode* arg : enode_args(n))
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out << arg->get_owner_id() << " ";
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out << std::setw(20) << " parents: ";
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for (enode* p : enode_parents(n))
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out << p->get_owner_id() << " ";
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out << "\n";
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}
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return out;
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}
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}
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