mirror of
https://github.com/Z3Prover/z3
synced 2026-06-01 14:47:51 +00:00
Merge branch 'parallel' into param-tuning
This commit is contained in:
commit
39ec6764b6
2 changed files with 122 additions and 189 deletions
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@ -412,17 +412,7 @@ namespace smt {
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switch (m_state) {
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switch (m_state) {
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case state::is_running: // batch manager is still running, but all threads have processed their cubes, which
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case state::is_running: // batch manager is still running, but all threads have processed their cubes, which
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// means all cubes were unsat
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// means all cubes were unsat
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if (!m_search_tree.is_closed())
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throw default_exception("inconsistent end state");
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throw default_exception("inconsistent end state");
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// case when all cubes were unsat, but depend on nonempty asms, so we need to add these asms to final unsat core
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// these asms are stored in the cube tree, at the root node
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if (p.ctx.m_unsat_core.empty()) {
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SASSERT(root && root->is_closed());
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for (auto a : m_search_tree.get_core_from_root())
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p.ctx.m_unsat_core.push_back(a);
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}
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return l_false;
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case state::is_unsat:
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case state::is_unsat:
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return l_false;
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return l_false;
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case state::is_sat:
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case state::is_sat:
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@ -14,7 +14,7 @@ Abstract:
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- Closed nodes are fully explored (both children are closed).
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- Closed nodes are fully explored (both children are closed).
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- Active nodes have no children and are currently being explored.
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- Active nodes have no children and are currently being explored.
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- Open nodes either have children that are open or are leaves.
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- Open nodes either have children that are open or are leaves.
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A node can be split if it is active. After splitting, it becomes open and has two open children.
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A node can be split if it is active. After splitting, it becomes open and has two open children.
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Backtracking on a conflict closes all nodes below the last node whose atom is in the conflict set.
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Backtracking on a conflict closes all nodes below the last node whose atom is in the conflict set.
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@ -35,26 +35,33 @@ namespace search_tree {
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enum class status { open, closed, active };
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enum class status { open, closed, active };
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template<typename Config>
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template <typename Config> class node {
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class node {
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typedef typename Config::literal literal;
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typedef typename Config::literal literal;
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literal m_literal;
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literal m_literal;
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node* m_left = nullptr, * m_right = nullptr, * m_parent = nullptr;
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node *m_left = nullptr, *m_right = nullptr, *m_parent = nullptr;
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status m_status;
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status m_status;
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vector<literal> m_core;
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vector<literal> m_core;
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public:
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public:
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node(literal const& l, node* parent) :
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node(literal const &l, node *parent) : m_literal(l), m_parent(parent), m_status(status::open) {}
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m_literal(l), m_parent(parent), m_status(status::open) {}
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~node() {
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~node() {
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dealloc(m_left);
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dealloc(m_left);
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dealloc(m_right);
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dealloc(m_right);
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}
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}
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status get_status() const { return m_status; }
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status get_status() const {
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void set_status(status s) { m_status = s; }
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return m_status;
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literal const& get_literal() const { return m_literal; }
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}
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bool literal_is_null() const { return Config::is_null(m_literal); }
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void set_status(status s) {
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void split(literal const& a, literal const& b) {
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m_status = s;
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}
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literal const &get_literal() const {
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return m_literal;
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}
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bool literal_is_null() const {
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return Config::is_null(m_literal);
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}
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void split(literal const &a, literal const &b) {
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SASSERT(!Config::literal_is_null(a));
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SASSERT(!Config::literal_is_null(a));
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SASSERT(!Config::literal_is_null(b));
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SASSERT(!Config::literal_is_null(b));
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if (m_status != status::active)
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if (m_status != status::active)
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@ -66,16 +73,22 @@ namespace search_tree {
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m_status = status::open;
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m_status = status::open;
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}
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}
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node* left() const { return m_left; }
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node *left() const {
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node* right() const { return m_right; }
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return m_left;
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node* parent() const { return m_parent; }
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}
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node *right() const {
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return m_right;
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}
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node *parent() const {
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return m_parent;
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}
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node* find_active_node() {
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node *find_active_node() {
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if (m_status == status::active)
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if (m_status == status::active)
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return this;
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return this;
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if (m_status != status::open)
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if (m_status != status::open)
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return nullptr;
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return nullptr;
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node* nodes[2] = { m_left, m_right };
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node *nodes[2] = {m_left, m_right};
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for (unsigned i = 0; i < 2; ++i) {
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for (unsigned i = 0; i < 2; ++i) {
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auto res = nodes[i] ? nodes[i]->find_active_node() : nullptr;
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auto res = nodes[i] ? nodes[i]->find_active_node() : nullptr;
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if (res)
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if (res)
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@ -86,7 +99,7 @@ namespace search_tree {
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return nullptr;
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return nullptr;
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}
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}
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void display(std::ostream& out, unsigned indent) const {
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void display(std::ostream &out, unsigned indent) const {
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for (unsigned i = 0; i < indent; ++i)
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for (unsigned i = 0; i < indent; ++i)
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out << " ";
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out << " ";
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Config::display_literal(out, m_literal);
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Config::display_literal(out, m_literal);
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@ -98,16 +111,18 @@ namespace search_tree {
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m_right->display(out, indent + 2);
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m_right->display(out, indent + 2);
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}
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}
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bool has_core() const { return !m_core.empty(); }
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void set_core(vector<literal> const &core) {
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void set_core(vector<literal> const &core) {
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m_core = core;
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m_core = core;
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}
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}
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vector<literal> const & get_core() const { return m_core; }
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vector<literal> const &get_core() const {
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void clear_core() { m_core.clear(); }
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return m_core;
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}
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void clear_core() {
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m_core.clear();
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}
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};
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};
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template<typename Config>
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template <typename Config> class tree {
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class tree {
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typedef typename Config::literal literal;
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typedef typename Config::literal literal;
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scoped_ptr<node<Config>> m_root = nullptr;
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scoped_ptr<node<Config>> m_root = nullptr;
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literal m_null_literal;
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literal m_null_literal;
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@ -115,7 +130,7 @@ namespace search_tree {
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// return an active node in the subtree rooted at n, or nullptr if there is none
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// return an active node in the subtree rooted at n, or nullptr if there is none
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// close nodes that are fully explored (whose children are all closed)
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// close nodes that are fully explored (whose children are all closed)
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node<Config>* activate_from_root(node<Config>* n) {
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node<Config> *activate_from_root(node<Config> *n) {
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if (!n)
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if (!n)
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return nullptr;
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return nullptr;
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if (n->get_status() != status::open)
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if (n->get_status() != status::open)
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@ -126,7 +141,7 @@ namespace search_tree {
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n->set_status(status::active);
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n->set_status(status::active);
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return n;
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return n;
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}
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}
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node<Config>* nodes[2] = { left, right };
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node<Config> *nodes[2] = {left, right};
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unsigned index = m_rand(2);
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unsigned index = m_rand(2);
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auto child = activate_from_root(nodes[index]);
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auto child = activate_from_root(nodes[index]);
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if (child)
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if (child)
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@ -134,145 +149,75 @@ namespace search_tree {
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child = activate_from_root(nodes[1 - index]);
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child = activate_from_root(nodes[1 - index]);
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if (child)
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if (child)
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return child;
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return child;
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if (left && right && left->get_status() == status::closed && right->get_status() == status::closed)
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if (left && right && left->get_status() == status::closed && right->get_status() == status::closed)
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n->set_status(status::closed);
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n->set_status(status::closed);
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return nullptr;
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return nullptr;
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}
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}
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// Invariants:
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void close(node<Config> *n) {
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// Cores labeling nodes are subsets of the literals on the path to the node and the (external) assumption literals.
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if (!n || n->get_status() == status::closed)
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// If a parent is open, then the one of the children is open.
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return;
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void close_with_core(node<Config>* n, vector<literal> const &C, bool allow_resolve = true) {
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n->set_status(status::closed);
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if (!n || n->get_status() == status::closed)
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close(n->left());
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return;
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close(n->right());
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}
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n->set_core(C);
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// Invariants:
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n->set_status(status::closed);
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// Cores labeling nodes are subsets of the literals on the path to the node and the (external) assumption
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// literals. If a parent is open, then the one of the children is open.
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void close_with_core(node<Config> *n, vector<literal> const &C) {
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if (!n || n->get_status() == status::closed)
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return;
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node<Config> *p = n->parent();
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if (p && all_of(C, [n](auto const &l) { return l != n->get_literal(); })) {
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close_with_core(p, C);
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return;
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}
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close(n->left());
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close(n->right());
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n->set_core(C);
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n->set_status(status::closed);
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close_with_core(n->left(), C, false);
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if (!p)
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close_with_core(n->right(), C, false);
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return;
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auto left = p->left();
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auto right = p->right();
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if (!left || !right)
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return;
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// stop at root
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// only attempt when both children are closed and each has a core
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if (!n->parent()) return;
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if (left->get_status() != status::closed || right->get_status() != status::closed)
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return;
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node<Config>* p = n->parent();
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auto resolvent = compute_sibling_resolvent(left, right);
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if (!p) return; // root reached
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close_with_core(p, resolvent);
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}
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auto is_literal_in_core = [](literal const& l, vector<literal> const& C) {
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// Given complementary sibling nodes for literals x and ¬x, sibling resolvent = (core_left ∪ core_right) \ {x,
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for (unsigned i = 0; i < C.size(); ++i)
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// ¬x}
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if (C[i] == l) return true;
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vector<literal> compute_sibling_resolvent(node<Config> *left, node<Config> *right) {
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return false;
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vector<literal> res;
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};
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// case 1: current splitting literal not in the conflict core
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auto &core_l = left->get_core();
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if (!is_literal_in_core(n->get_literal(), C)) {
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auto &core_r = right->get_core();
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close_with_core(p, C);
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// case 2: both siblings closed -> resolve
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} else if (allow_resolve && p->left()->get_status() == status::closed && p->right()->get_status() == status::closed) {
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try_resolve_upwards(p);
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}
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}
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// Given complementary sibling nodes for literals x and ¬x, sibling resolvent = (core_left ∪ core_right) \ {x, ¬x}
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if (core_l.empty() || core_r.empty() || left->parent() != right->parent())
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vector<literal> compute_sibling_resolvent(node<Config>* left, node<Config>* right) {
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return res;
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vector<literal> res;
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if (!left->has_core() || !right->has_core()) return res;
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auto lit_l = left->get_literal();
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auto lit_r = right->get_literal();
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bool are_sibling_complements = left->parent() == right->parent();
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for (auto const &lit : core_l)
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if (!are_sibling_complements)
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if (lit != lit_l && !res.contains(lit))
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return res;
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res.push_back(lit);
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for (auto const &lit : core_r)
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auto &core_l = left->get_core();
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if (lit != lit_l && !res.contains(lit))
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auto &core_r = right->get_core();
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res.push_back(lit);
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||||||
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return res;
|
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auto contains = [](vector<literal> const &v, literal const &l) {
|
}
|
||||||
for (unsigned i = 0; i < v.size(); ++i)
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|
||||||
if (v[i] == l) return true;
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|
||||||
return false;
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|
||||||
};
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||||||
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|
||||||
auto lit_l = left->get_literal();
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|
||||||
auto lit_r = right->get_literal();
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|
||||||
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||||||
// Add literals from left core, skipping lit_l
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|
||||||
for (unsigned i = 0; i < core_l.size(); ++i) {
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|
||||||
if (core_l[i] != lit_l && !contains(res, core_l[i]))
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|
||||||
res.push_back(core_l[i]);
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|
||||||
}
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|
||||||
|
|
||||||
// Add literals from right core, skipping lit_r
|
|
||||||
for (unsigned i = 0; i < core_r.size(); ++i) {
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|
||||||
if (core_r[i] != lit_r && !contains(res, core_r[i]))
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|
||||||
res.push_back(core_r[i]);
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|
||||||
}
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|
||||||
|
|
||||||
return res;
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|
||||||
}
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|
||||||
|
|
||||||
void try_resolve_upwards(node<Config>* p) {
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|
||||||
while (p) {
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|
||||||
auto left = p->left();
|
|
||||||
auto right = p->right();
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|
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if (!left || !right) return;
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|
||||||
|
|
||||||
// only attempt when both children are closed and each has a core
|
|
||||||
if (left->get_status() != status::closed || right->get_status() != status::closed) return;
|
|
||||||
if (!left->has_core() || !right->has_core()) return;
|
|
||||||
|
|
||||||
auto resolvent = compute_sibling_resolvent(left, right);
|
|
||||||
|
|
||||||
// empty resolvent of sibling complement (i.e. tautology) -> global UNSAT
|
|
||||||
if (resolvent.empty()) {
|
|
||||||
close_with_core(m_root.get(), resolvent, false);
|
|
||||||
return;
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|
||||||
}
|
|
||||||
|
|
||||||
// if p already has the same core, nothing more to do
|
|
||||||
if (p->has_core() && resolvent == p->get_core())
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|
||||||
return;
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|
||||||
|
|
||||||
// Bubble to the highest ancestor where ALL literals in the resolvent
|
|
||||||
// are present somewhere on the path from that ancestor to root
|
|
||||||
node<Config>* candidate = p;
|
|
||||||
node<Config>* attach_here = p; // fallback
|
|
||||||
|
|
||||||
while (candidate) {
|
|
||||||
bool all_found = true;
|
|
||||||
|
|
||||||
for (auto const& r : resolvent) {
|
|
||||||
bool found = false;
|
|
||||||
for (node<Config>* q = candidate; q; q = q->parent()) {
|
|
||||||
if (q->get_literal() == r) {
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|
||||||
found = true;
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
if (!found) {
|
|
||||||
all_found = false;
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
if (all_found) {
|
|
||||||
attach_here = candidate; // bubble up to this node
|
|
||||||
}
|
|
||||||
|
|
||||||
candidate = candidate->parent();
|
|
||||||
}
|
|
||||||
|
|
||||||
// attach the resolvent and close the subtree at attach_here
|
|
||||||
if (!attach_here->has_core() || attach_here->get_core() != resolvent) {
|
|
||||||
close_with_core(attach_here, resolvent, false);
|
|
||||||
}
|
|
||||||
|
|
||||||
// continue upward from parent of attach_here
|
|
||||||
p = attach_here->parent();
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
public:
|
public:
|
||||||
tree(literal const& null_literal) : m_null_literal(null_literal) {
|
tree(literal const &null_literal) : m_null_literal(null_literal) {
|
||||||
reset();
|
reset();
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
@ -284,38 +229,37 @@ namespace search_tree {
|
||||||
m_root = alloc(node<Config>, m_null_literal, nullptr);
|
m_root = alloc(node<Config>, m_null_literal, nullptr);
|
||||||
m_root->set_status(status::active);
|
m_root->set_status(status::active);
|
||||||
}
|
}
|
||||||
|
|
||||||
// Split current node if it is active.
|
// Split current node if it is active.
|
||||||
// After the call, n is open and has two children.
|
// After the call, n is open and has two children.
|
||||||
void split(node<Config>* n, literal const& a, literal const& b) {
|
void split(node<Config> *n, literal const &a, literal const &b) {
|
||||||
n->split(a, b);
|
n->split(a, b);
|
||||||
}
|
}
|
||||||
|
|
||||||
// conflict is given by a set of literals.
|
// conflict is given by a set of literals.
|
||||||
// they are subsets of the literals on the path from root to n AND the external assumption literals
|
// they are subsets of the literals on the path from root to n AND the external assumption literals
|
||||||
void backtrack(node<Config>* n, vector<literal> const& conflict) {
|
void backtrack(node<Config> *n, vector<literal> const &conflict) {
|
||||||
if (conflict.empty()) {
|
if (conflict.empty()) {
|
||||||
close_with_core(m_root.get(), conflict);
|
close_with_core(m_root.get(), conflict);
|
||||||
return;
|
return;
|
||||||
}
|
}
|
||||||
SASSERT(n != m_root.get());
|
SASSERT(n != m_root.get());
|
||||||
// all literals in conflict are on the path from root to n
|
// all literals in conflict are on the path from root to n
|
||||||
// remove assumptions from conflict to ensure this.
|
// remove assumptions from conflict to ensure this.
|
||||||
DEBUG_CODE(
|
DEBUG_CODE(auto on_path =
|
||||||
auto on_path = [&](literal const& a) {
|
[&](literal const &a) {
|
||||||
node<Config>* p = n;
|
node<Config> *p = n;
|
||||||
while (p) {
|
while (p) {
|
||||||
if (p->get_literal() == a)
|
if (p->get_literal() == a)
|
||||||
return true;
|
return true;
|
||||||
p = p->parent();
|
p = p->parent();
|
||||||
}
|
}
|
||||||
return false;
|
return false;
|
||||||
};
|
};
|
||||||
SASSERT(all_of(conflict, [&](auto const& a) { return on_path(a); }));
|
SASSERT(all_of(conflict, [&](auto const &a) { return on_path(a); })););
|
||||||
);
|
|
||||||
|
|
||||||
while (n) {
|
while (n) {
|
||||||
if (any_of(conflict, [&](auto const& a) { return a == n->get_literal(); })) {
|
if (any_of(conflict, [&](auto const &a) { return a == n->get_literal(); })) {
|
||||||
// close the subtree under n (preserves core attached to n), and attempt to resolve upwards
|
// close the subtree under n (preserves core attached to n), and attempt to resolve upwards
|
||||||
close_with_core(n, conflict);
|
close_with_core(n, conflict);
|
||||||
return;
|
return;
|
||||||
|
|
@ -327,9 +271,9 @@ namespace search_tree {
|
||||||
}
|
}
|
||||||
|
|
||||||
// return an active node in the tree, or nullptr if there is none
|
// return an active node in the tree, or nullptr if there is none
|
||||||
// first check if there is a node to activate under n,
|
// first check if there is a node to activate under n,
|
||||||
// if not, go up the tree and try to activate a sibling subtree
|
// if not, go up the tree and try to activate a sibling subtree
|
||||||
node<Config>* activate_node(node<Config>* n) {
|
node<Config> *activate_node(node<Config> *n) {
|
||||||
if (!n) {
|
if (!n) {
|
||||||
if (m_root->get_status() == status::active)
|
if (m_root->get_status() == status::active)
|
||||||
return m_root.get();
|
return m_root.get();
|
||||||
|
|
@ -341,10 +285,10 @@ namespace search_tree {
|
||||||
|
|
||||||
auto p = n->parent();
|
auto p = n->parent();
|
||||||
while (p) {
|
while (p) {
|
||||||
if (p->left() && p->left()->get_status() == status::closed &&
|
if (p->left() && p->left()->get_status() == status::closed && p->right() &&
|
||||||
p->right() && p->right()->get_status() == status::closed) {
|
p->right()->get_status() == status::closed) {
|
||||||
p->set_status(status::closed);
|
p->set_status(status::closed);
|
||||||
n = p;
|
n = p;
|
||||||
p = n->parent();
|
p = n->parent();
|
||||||
continue;
|
continue;
|
||||||
}
|
}
|
||||||
|
|
@ -358,18 +302,18 @@ namespace search_tree {
|
||||||
res = activate_from_root(p->left());
|
res = activate_from_root(p->left());
|
||||||
if (res)
|
if (res)
|
||||||
return res;
|
return res;
|
||||||
}
|
}
|
||||||
n = p;
|
n = p;
|
||||||
p = n->parent();
|
p = n->parent();
|
||||||
}
|
}
|
||||||
return nullptr;
|
return nullptr;
|
||||||
}
|
}
|
||||||
|
|
||||||
node<Config>* find_active_node() {
|
node<Config> *find_active_node() {
|
||||||
return m_root->find_active_node();
|
return m_root->find_active_node();
|
||||||
}
|
}
|
||||||
|
|
||||||
vector<literal> const& get_core_from_root() const {
|
vector<literal> const &get_core_from_root() const {
|
||||||
return m_root->get_core();
|
return m_root->get_core();
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
@ -377,10 +321,9 @@ namespace search_tree {
|
||||||
return m_root->get_status() == status::closed;
|
return m_root->get_status() == status::closed;
|
||||||
}
|
}
|
||||||
|
|
||||||
std::ostream& display(std::ostream& out) const {
|
std::ostream &display(std::ostream &out) const {
|
||||||
m_root->display(out, 0);
|
m_root->display(out, 0);
|
||||||
return out;
|
return out;
|
||||||
}
|
}
|
||||||
|
|
||||||
};
|
};
|
||||||
}
|
} // namespace search_tree
|
||||||
|
|
|
||||||
Loading…
Add table
Add a link
Reference in a new issue