mirror of
https://github.com/Z3Prover/z3
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Reorganized the SLS code.
Signed-off-by: Christoph M. Wintersteiger <cwinter@microsoft.com>
This commit is contained in:
parent
8a44766382
commit
4be468d312
5 changed files with 1374 additions and 1281 deletions
675
src/tactic/sls/sls_tracker.h
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675
src/tactic/sls/sls_tracker.h
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/*++
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Copyright (c) 2012 Microsoft Corporation
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Module Name:
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sls_score_tracker.h
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Abstract:
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Score and value tracking module for SLS
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Author:
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Christoph (cwinter) 2012-02-29
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Notes:
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--*/
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#ifndef _SLS_TRACKER_H_
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#define _SLS_TRACKER_H_
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class sls_tracker {
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ast_manager & m_manager;
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unsynch_mpz_manager & m_mpz_manager;
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bv_util & m_bv_util;
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powers & m_powers;
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random_gen m_rng;
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unsigned m_random_bits;
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unsigned m_random_bits_cnt;
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mpz m_zero, m_one, m_two;
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struct value_score {
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value_score() : m(0), value(unsynch_mpz_manager::mk_z(0)), score(0.0), distance(0) { };
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~value_score() { if (m) m->del(value); }
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unsynch_mpz_manager * m;
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mpz value;
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double score;
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unsigned distance; // max distance from any root
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value_score & operator=(const value_score & other) {
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SASSERT(m == 0 || m == other.m);
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if (m) m->set(value, 0); else m = other.m;
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m->set(value, other.value);
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score = other.score;
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distance = other.distance;
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return *this;
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}
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};
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public:
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typedef obj_map<func_decl, expr* > entry_point_type;
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private:
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typedef obj_map<expr, value_score> scores_type;
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typedef obj_map<expr, ptr_vector<expr> > uplinks_type;
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typedef obj_map<expr, ptr_vector<func_decl> > occ_type;
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scores_type m_scores;
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uplinks_type m_uplinks;
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entry_point_type m_entry_points;
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ptr_vector<func_decl> m_constants;
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ptr_vector<func_decl> m_temp_constants;
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occ_type m_constants_occ;
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public:
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sls_tracker(ast_manager & m, bv_util & bvu, unsynch_mpz_manager & mm, powers & p) :
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m_manager(m),
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m_mpz_manager(mm),
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m_bv_util(bvu),
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m_powers(p),
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m_random_bits_cnt(0),
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m_zero(m_mpz_manager.mk_z(0)),
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m_one(m_mpz_manager.mk_z(1)),
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m_two(m_mpz_manager.mk_z(2)) {
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}
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~sls_tracker() {
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m_mpz_manager.del(m_zero);
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m_mpz_manager.del(m_one);
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m_mpz_manager.del(m_two);
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}
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inline void set_value(expr * n, const mpz & r) {
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SASSERT(m_scores.contains(n));
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m_mpz_manager.set(m_scores.find(n).value, r);
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}
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inline void set_value(func_decl * fd, const mpz & r) {
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SASSERT(m_entry_points.contains(fd));
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expr * ep = get_entry_point(fd);
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set_value(ep, r);
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}
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inline mpz & get_value(expr * n) {
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SASSERT(m_scores.contains(n));
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return m_scores.find(n).value;
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}
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inline mpz & get_value(func_decl * fd) {
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SASSERT(m_entry_points.contains(fd));
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expr * ep = get_entry_point(fd);
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return get_value(ep);
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}
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inline void set_score(expr * n, double score) {
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SASSERT(m_scores.contains(n));
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m_scores.find(n).score = score;
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}
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inline void set_score(func_decl * fd, double score) {
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SASSERT(m_entry_points.contains(fd));
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expr * ep = get_entry_point(fd);
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set_score(ep, score);
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}
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inline double & get_score(expr * n) {
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SASSERT(m_scores.contains(n));
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return m_scores.find(n).score;
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}
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inline double & get_score(func_decl * fd) {
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SASSERT(m_entry_points.contains(fd));
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expr * ep = get_entry_point(fd);
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return get_score(ep);
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}
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inline unsigned get_distance(expr * n) {
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SASSERT(m_scores.contains(n));
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return m_scores.find(n).distance;
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}
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inline void set_distance(expr * n, unsigned d) {
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SASSERT(m_scores.contains(n));
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m_scores.find(n).distance = d;
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}
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inline expr * get_entry_point(func_decl * fd) {
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SASSERT(m_entry_points.contains(fd));
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return m_entry_points.find(fd);
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}
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inline entry_point_type const & get_entry_points() {
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return m_entry_points;
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}
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inline bool has_uplinks(expr * n) {
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return m_uplinks.contains(n);
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}
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inline ptr_vector<expr> & get_uplinks(expr * n) {
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SASSERT(m_uplinks.contains(n));
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return m_uplinks.find(n);
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}
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void initialize(app * n) {
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// Build score table
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if (!m_scores.contains(n)) {
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value_score vs;
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vs.m = & m_mpz_manager;
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m_scores.insert(n, vs);
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}
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// Update uplinks
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unsigned na = n->get_num_args();
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for (unsigned i = 0; i < na; i++) {
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expr * c = n->get_arg(i);
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uplinks_type::obj_map_entry * entry = m_uplinks.insert_if_not_there2(c, ptr_vector<expr>());
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entry->get_data().m_value.push_back(n);
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}
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func_decl * d = n->get_decl();
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if (n->get_num_args() == 0) {
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if (d->get_family_id() != null_family_id) {
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// Interpreted constant
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mpz t;
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value2mpz(n, t);
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set_value(n, t);
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m_mpz_manager.del(t);
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}
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else {
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// Uninterpreted constant
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m_entry_points.insert_if_not_there(d, n);
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m_constants.push_back(d);
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}
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}
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}
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struct init_proc {
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ast_manager & m_manager;
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sls_tracker & m_tracker;
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init_proc(ast_manager & m, sls_tracker & tracker):
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m_manager(m),
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m_tracker(tracker) {
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}
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void operator()(var * n) {}
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void operator()(quantifier * n) {}
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void operator()(app * n) {
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m_tracker.initialize(n);
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}
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};
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struct find_func_decls_proc {
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ast_manager & m_manager;
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ptr_vector<func_decl> & m_occs;
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find_func_decls_proc (ast_manager & m, ptr_vector<func_decl> & occs):
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m_manager(m),
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m_occs(occs) {
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}
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void operator()(var * n) {}
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void operator()(quantifier * n) {}
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void operator()(app * n) {
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if (n->get_num_args() != 0)
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return;
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func_decl * d = n->get_decl();
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if (d->get_family_id() != null_family_id)
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return;
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m_occs.push_back(d);
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}
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};
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void calculate_expr_distances(goal_ref const & g) {
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// precondition: m_scores is set up.
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unsigned sz = g->size();
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ptr_vector<app> stack;
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for (unsigned i = 0; i < sz; i++)
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stack.push_back(to_app(g->form(i)));
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while (!stack.empty()) {
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app * cur = stack.back();
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stack.pop_back();
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unsigned d = get_distance(cur);
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for (unsigned i = 0; i < cur->get_num_args(); i++) {
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app * child = to_app(cur->get_arg(i));
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unsigned d_child = get_distance(child);
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if (d >= d_child) {
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set_distance(child, d+1);
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stack.push_back(child);
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}
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}
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}
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}
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void initialize(goal_ref const & g) {
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init_proc proc(m_manager, *this);
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expr_mark visited;
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unsigned sz = g->size();
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for (unsigned i = 0; i < sz; i++) {
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expr * e = g->form(i);
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for_each_expr(proc, visited, e);
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}
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visited.reset();
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for (unsigned i = 0; i < sz; i++) {
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expr * e = g->form(i);
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ptr_vector<func_decl> t;
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m_constants_occ.insert_if_not_there(e, t);
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find_func_decls_proc ffd_proc(m_manager, m_constants_occ.find(e));
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expr_fast_mark1 visited;
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quick_for_each_expr(ffd_proc, visited, e);
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}
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calculate_expr_distances(g);
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TRACE("sls", tout << "Initial model:" << std::endl; show_model(tout); );
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}
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void show_model(std::ostream & out) {
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unsigned sz = get_num_constants();
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for (unsigned i = 0; i < sz; i++) {
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func_decl * fd = get_constant(i);
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out << fd->get_name() << " = " << m_mpz_manager.to_string(get_value(fd)) << std::endl;
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}
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}
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model_ref get_model() {
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model_ref res = alloc(model, m_manager);
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unsigned sz = get_num_constants();
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for (unsigned i = 0; i < sz; i++) {
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func_decl * fd = get_constant(i);
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res->register_decl(fd, mpz2value(fd->get_range(), get_value(fd)));
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}
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return res;
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}
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unsigned get_num_constants() {
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return m_constants.size();
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}
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ptr_vector<func_decl> & get_constants() {
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return m_constants;
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}
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func_decl * get_constant(unsigned i) {
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return m_constants[i];
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}
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void set_random_seed(unsigned s) {
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m_rng.set_seed(s);
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}
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mpz get_random_bv(sort * s) {
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SASSERT(m_bv_util.is_bv_sort(s));
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unsigned bv_size = m_bv_util.get_bv_size(s);
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mpz r; m_mpz_manager.set(r, 0);
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mpz temp;
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do
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{
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m_mpz_manager.mul(r, m_two, temp);
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m_mpz_manager.add(temp, get_random_bool(), r);
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} while (--bv_size > 0);
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m_mpz_manager.del(temp);
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return r;
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}
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mpz & get_random_bool() {
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if (m_random_bits_cnt == 0) {
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m_random_bits = m_rng();
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m_random_bits_cnt = 15; // random_gen produces 15 bits of randomness.
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}
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bool val = (m_random_bits & 0x01) != 0;
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m_random_bits = m_random_bits >> 1;
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m_random_bits_cnt--;
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return (val) ? m_one : m_zero;
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}
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unsigned get_random_uint(unsigned bits) {
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if (m_random_bits_cnt == 0) {
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m_random_bits = m_rng();
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m_random_bits_cnt = 15; // random_gen produces 15 bits of randomness.
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}
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unsigned val = 0;
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while (bits-- > 0) {
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if ((m_random_bits & 0x01) != 0) val++;
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val <<= 1;
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m_random_bits >>= 1;
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m_random_bits_cnt--;
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if (m_random_bits_cnt == 0) {
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m_random_bits = m_rng();
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m_random_bits_cnt = 15; // random_gen produces 15 bits of randomness.
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}
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}
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return val;
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}
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mpz get_random(sort * s) {
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if (m_bv_util.is_bv_sort(s))
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return get_random_bv(s);
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else if (m_manager.is_bool(s))
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return get_random_bool();
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else
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NOT_IMPLEMENTED_YET(); // This only works for bit-vectors for now.
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}
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void randomize() {
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TRACE("sls", tout << "Abandoned model:" << std::endl; show_model(tout); );
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for (entry_point_type::iterator it = m_entry_points.begin(); it != m_entry_points.end(); it++) {
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func_decl * fd = it->m_key;
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sort * s = fd->get_range();
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mpz temp = get_random(s);
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set_value(it->m_value, temp);
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m_mpz_manager.del(temp);
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}
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TRACE("sls", tout << "Randomized model:" << std::endl; show_model(tout); );
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}
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#define _SCORE_AND_MIN
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double score_bool(expr * n, bool negated = false) {
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TRACE("sls_score", tout << ((negated)?"NEG ":"") << "BOOL: " << mk_ismt2_pp(n, m_manager) << std::endl; );
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double res = 0.0;
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if (is_uninterp_const(n)) {
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const mpz & r = get_value(n);
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if (negated)
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res = (m_mpz_manager.is_one(r)) ? 0.0 : 1.0;
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else
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res = (m_mpz_manager.is_one(r)) ? 1.0 : 0.0;
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}
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else if (m_manager.is_and(n)) {
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SASSERT(!negated);
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app * a = to_app(n);
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expr * const * args = a->get_args();
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#ifdef _SCORE_AND_MIN
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double min = 1.0;
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for (unsigned i = 0; i < a->get_num_args(); i++) {
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double cur = get_score(args[i]);
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if (cur < min) min = cur;
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}
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res = min;
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#else
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double sum = 0.0;
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for (unsigned i = 0; i < a->get_num_args(); i++)
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sum += get_score(args[i]);
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res = sum / (double) a->get_num_args();
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#endif
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}
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else if (m_manager.is_or(n)) {
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SASSERT(!negated);
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app * a = to_app(n);
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expr * const * args = a->get_args();
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double max = 0.0;
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for (unsigned i = 0; i < a->get_num_args(); i++) {
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double cur = get_score(args[i]);
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if (cur > max) max = cur;
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}
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res = max;
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}
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else if (m_manager.is_ite(n)) {
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SASSERT(!negated);
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app * a = to_app(n);
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SASSERT(a->get_num_args() == 3);
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const mpz & cond = get_value(a->get_arg(0));
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double s_t = get_score(a->get_arg(1));
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double s_f = get_score(a->get_arg(2));
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res = (m_mpz_manager.is_one(cond)) ? s_t : s_f;
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}
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else if (m_manager.is_eq(n) || m_manager.is_iff(n)) {
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app * a = to_app(n);
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SASSERT(a->get_num_args() == 2);
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expr * arg0 = a->get_arg(0);
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expr * arg1 = a->get_arg(1);
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const mpz & v0 = get_value(arg0);
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const mpz & v1 = get_value(arg1);
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if (negated) {
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res = (m_mpz_manager.eq(v0, v1)) ? 0.0 : 1.0;
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TRACE("sls_score", tout << "V0 = " << m_mpz_manager.to_string(v0) << " ; V1 = " <<
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m_mpz_manager.to_string(v1) << std::endl; );
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}
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else if (m_manager.is_bool(arg0)) {
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res = m_mpz_manager.eq(v0, v1) ? 1.0 : 0.0;
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TRACE("sls_score", tout << "V0 = " << m_mpz_manager.to_string(v0) << " ; V1 = " <<
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m_mpz_manager.to_string(v1) << std::endl; );
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}
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else if (m_bv_util.is_bv(arg0)) {
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mpz diff, diff_m1;
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m_mpz_manager.bitwise_xor(v0, v1, diff);
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unsigned hamming_distance = 0;
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unsigned bv_sz = m_bv_util.get_bv_size(arg0);
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#if 1 // unweighted hamming distance
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while (!m_mpz_manager.is_zero(diff)) {
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//m_mpz_manager.set(diff_m1, diff);
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//m_mpz_manager.dec(diff_m1);
|
||||
//m_mpz_manager.bitwise_and(diff, diff_m1, diff);
|
||||
//hamming_distance++;
|
||||
if (!m_mpz_manager.is_even(diff)) {
|
||||
hamming_distance++;
|
||||
}
|
||||
m_mpz_manager.machine_div(diff, m_two, diff);
|
||||
}
|
||||
res = 1.0 - (hamming_distance / (double) bv_sz);
|
||||
#else
|
||||
rational r(diff);
|
||||
r /= m_powers(bv_sz);
|
||||
double dbl = r.get_double();
|
||||
res = (dbl < 0.0) ? 1.0 : (dbl > 1.0) ? 0.0 : 1.0 - dbl;
|
||||
#endif
|
||||
TRACE("sls_score", tout << "V0 = " << m_mpz_manager.to_string(v0) << " ; V1 = " <<
|
||||
m_mpz_manager.to_string(v1) << " ; HD = " << hamming_distance <<
|
||||
" ; SZ = " << bv_sz << std::endl; );
|
||||
m_mpz_manager.del(diff);
|
||||
m_mpz_manager.del(diff_m1);
|
||||
}
|
||||
else
|
||||
NOT_IMPLEMENTED_YET();
|
||||
}
|
||||
else if (m_bv_util.is_bv_ule(n)) { // x <= y
|
||||
app * a = to_app(n);
|
||||
SASSERT(a->get_num_args() == 2);
|
||||
const mpz & x = get_value(a->get_arg(0));
|
||||
const mpz & y = get_value(a->get_arg(1));
|
||||
unsigned bv_sz = m_bv_util.get_bv_size(a->get_decl()->get_domain()[0]);
|
||||
|
||||
if (negated) {
|
||||
if (m_mpz_manager.gt(x, y))
|
||||
res = 1.0;
|
||||
else {
|
||||
mpz diff;
|
||||
m_mpz_manager.sub(y, x, diff);
|
||||
m_mpz_manager.inc(diff);
|
||||
rational n(diff);
|
||||
n /= rational(m_powers(bv_sz));
|
||||
double dbl = n.get_double();
|
||||
// In extreme cases, n is 0.9999 but to_double returns something > 1.0
|
||||
res = (dbl > 1.0) ? 0.0 : (dbl < 0.0) ? 1.0 : 1.0 - dbl;
|
||||
m_mpz_manager.del(diff);
|
||||
}
|
||||
}
|
||||
else {
|
||||
if (m_mpz_manager.le(x, y))
|
||||
res = 1.0;
|
||||
else {
|
||||
mpz diff;
|
||||
m_mpz_manager.sub(x, y, diff);
|
||||
rational n(diff);
|
||||
n /= rational(m_powers(bv_sz));
|
||||
double dbl = n.get_double();
|
||||
res = (dbl > 1.0) ? 1.0 : (dbl < 0.0) ? 0.0 : dbl;
|
||||
m_mpz_manager.del(diff);
|
||||
}
|
||||
}
|
||||
TRACE("sls_score", tout << "x = " << m_mpz_manager.to_string(x) << " ; y = " <<
|
||||
m_mpz_manager.to_string(y) << " ; SZ = " << bv_sz << std::endl; );
|
||||
}
|
||||
else if (m_bv_util.is_bv_sle(n)) { // x <= y
|
||||
app * a = to_app(n);
|
||||
SASSERT(a->get_num_args() == 2);
|
||||
mpz x; m_mpz_manager.set(x, get_value(a->get_arg(0)));
|
||||
mpz y; m_mpz_manager.set(y, get_value(a->get_arg(1)));
|
||||
unsigned bv_sz = m_bv_util.get_bv_size(a->get_decl()->get_domain()[0]);
|
||||
const mpz & p = m_powers(bv_sz);
|
||||
const mpz & p_half = m_powers(bv_sz-1);
|
||||
if (x >= p_half) { m_mpz_manager.sub(x, p, x); }
|
||||
if (y >= p_half) { m_mpz_manager.sub(y, p, y); }
|
||||
|
||||
if (negated) {
|
||||
if (x > y)
|
||||
res = 1.0;
|
||||
else {
|
||||
mpz diff;
|
||||
m_mpz_manager.sub(y, x, diff);
|
||||
m_mpz_manager.inc(diff);
|
||||
rational n(diff);
|
||||
n /= p;
|
||||
double dbl = n.get_double();
|
||||
res = (dbl > 1.0) ? 0.0 : (dbl < 0.0) ? 1.0 : 1.0 - dbl;
|
||||
m_mpz_manager.del(diff);
|
||||
}
|
||||
TRACE("sls_score", tout << "x = " << m_mpz_manager.to_string(x) << " ; y = " <<
|
||||
m_mpz_manager.to_string(y) << " ; SZ = " << bv_sz << std::endl; );
|
||||
}
|
||||
else {
|
||||
if (x <= y)
|
||||
res = 1.0;
|
||||
else {
|
||||
mpz diff;
|
||||
m_mpz_manager.sub(x, y, diff);
|
||||
rational n(diff);
|
||||
n /= p;
|
||||
double dbl = n.get_double();
|
||||
res = (dbl > 1.0) ? 1.0 : (dbl < 0.0) ? 0.0 : dbl;
|
||||
m_mpz_manager.del(diff);
|
||||
}
|
||||
TRACE("sls_score", tout << "x = " << m_mpz_manager.to_string(x) << " ; y = " <<
|
||||
m_mpz_manager.to_string(y) << " ; SZ = " << bv_sz << std::endl; );
|
||||
}
|
||||
m_mpz_manager.del(x);
|
||||
m_mpz_manager.del(y);
|
||||
}
|
||||
else if (m_manager.is_not(n)) {
|
||||
SASSERT(!negated);
|
||||
app * a = to_app(n);
|
||||
SASSERT(a->get_num_args() == 1);
|
||||
expr * child = a->get_arg(0);
|
||||
if (m_manager.is_and(child) || m_manager.is_or(child)) // Precondition: Assertion set is in NNF.
|
||||
NOT_IMPLEMENTED_YET();
|
||||
res = score_bool(child, true);
|
||||
}
|
||||
else if (m_manager.is_distinct(n)) {
|
||||
app * a = to_app(n);
|
||||
unsigned pairs = 0, distinct_pairs = 0;
|
||||
unsigned sz = a->get_num_args();
|
||||
for (unsigned i = 0; i < sz; i++) {
|
||||
for (unsigned j = i+1; j < sz; j++) {
|
||||
// pair i/j
|
||||
const mpz & v0 = get_value(a->get_arg(0));
|
||||
const mpz & v1 = get_value(a->get_arg(1));
|
||||
pairs++;
|
||||
if (v0 != v1)
|
||||
distinct_pairs++;
|
||||
}
|
||||
}
|
||||
res = (distinct_pairs/(double)pairs);
|
||||
if (negated) res = 1.0 - res;
|
||||
}
|
||||
else
|
||||
NOT_IMPLEMENTED_YET();
|
||||
|
||||
SASSERT(res >= 0.0 && res <= 1.0);
|
||||
|
||||
TRACE("sls_score", tout << "SCORE = " << res << std::endl; );
|
||||
return res;
|
||||
}
|
||||
|
||||
double score_bv(expr * n) {
|
||||
return 0.0; // a bv-expr is always scored as 0.0; we won't use those scores.
|
||||
}
|
||||
|
||||
void value2mpz(expr * n, mpz & result) {
|
||||
m_mpz_manager.set(result, m_zero);
|
||||
|
||||
if (m_manager.is_bool(n)) {
|
||||
m_mpz_manager.set(result, m_manager.is_true(n) ? m_one : m_zero);
|
||||
}
|
||||
else if (m_bv_util.is_bv(n)) {
|
||||
unsigned bv_sz = m_bv_util.get_bv_size(n);
|
||||
rational q;
|
||||
if (!m_bv_util.is_numeral(n, q, bv_sz))
|
||||
NOT_IMPLEMENTED_YET();
|
||||
mpq temp = q.to_mpq();
|
||||
SASSERT(m_mpz_manager.is_one(temp.denominator()));
|
||||
m_mpz_manager.set(result, temp.numerator());
|
||||
}
|
||||
else
|
||||
NOT_IMPLEMENTED_YET();
|
||||
}
|
||||
|
||||
expr_ref mpz2value(sort * s, const mpz & r) {
|
||||
expr_ref res(m_manager);
|
||||
if (m_manager.is_bool(s))
|
||||
res = (m_mpz_manager.is_zero(r)) ? m_manager.mk_false() : m_manager.mk_true();
|
||||
else if (m_bv_util.is_bv_sort(s)) {
|
||||
rational rat(r);
|
||||
res = m_bv_util.mk_numeral(rat, s);
|
||||
}
|
||||
else
|
||||
NOT_IMPLEMENTED_YET();
|
||||
return res;
|
||||
}
|
||||
|
||||
double score(expr * n) {
|
||||
if (m_manager.is_bool(n))
|
||||
return score_bool(n);
|
||||
else if (m_bv_util.is_bv(n))
|
||||
return score_bv(n);
|
||||
else
|
||||
NOT_IMPLEMENTED_YET();
|
||||
}
|
||||
|
||||
ptr_vector<func_decl> & get_unsat_constants(goal_ref const & g) {
|
||||
unsigned sz = g->size();
|
||||
|
||||
if (sz == 1) {
|
||||
return get_constants();
|
||||
}
|
||||
else {
|
||||
m_temp_constants.reset();
|
||||
for (unsigned i = 0; i < sz; i++) {
|
||||
expr * q = g->form(i);
|
||||
if (m_mpz_manager.eq(get_value(q), m_one))
|
||||
continue;
|
||||
ptr_vector<func_decl> const & this_decls = m_constants_occ.find(q);
|
||||
unsigned sz2 = this_decls.size();
|
||||
for (unsigned j = 0; j < sz2; j++) {
|
||||
func_decl * fd = this_decls[j];
|
||||
if (!m_temp_constants.contains(fd))
|
||||
m_temp_constants.push_back(fd);
|
||||
}
|
||||
}
|
||||
return m_temp_constants;
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
#endif
|
Loading…
Add table
Add a link
Reference in a new issue