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https://github.com/Z3Prover/z3
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fold functionality into seq_range_collapse
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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9fb2b491d6
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2 changed files with 97 additions and 12 deletions
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@ -21,6 +21,74 @@ Authors:
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namespace seq {
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// Cofactor path condition `pred` (a Boolean over x = (:var 0)) -> the canonical
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// range_predicate (union of ranges) of the characters satisfying it. Returns
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// false on a construct outside {true,false,and,or,not,=,char.<=} over x.
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static bool pred_to_rp(ast_manager &m, seq_util &sq, expr *x, expr *pred,
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seq::range_predicate &out) {
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unsigned maxc = sq.max_char();
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expr *a = nullptr, *b = nullptr;
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unsigned c = 0;
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if (m.is_true(pred)) {
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out = seq::range_predicate::top(maxc);
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return true;
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}
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if (m.is_false(pred)) {
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out = seq::range_predicate::empty(maxc);
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return true;
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}
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if (m.is_eq(pred, a, b)) {
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if (a == x && sq.is_const_char(b, c)) {
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out = seq::range_predicate::singleton(c, maxc);
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return true;
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}
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if (b == x && sq.is_const_char(a, c)) {
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out = seq::range_predicate::singleton(c, maxc);
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return true;
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}
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return false;
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}
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if (sq.is_char_le(pred, a, b)) {
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if (b == x && sq.is_const_char(a, c)) {
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out = seq::range_predicate::range(c, maxc, maxc);
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return true;
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}
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if (a == x && sq.is_const_char(b, c)) {
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out = seq::range_predicate::range(0, c, maxc);
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return true;
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}
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return false;
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}
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if (m.is_not(pred, a)) {
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seq::range_predicate s(maxc);
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if (!pred_to_rp(m, sq, x, a, s))
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return false;
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out = ~s;
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return true;
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}
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if (m.is_and(pred)) {
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out = seq::range_predicate::top(maxc);
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for (expr *arg : *to_app(pred)) {
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seq::range_predicate s(maxc);
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if (!pred_to_rp(m, sq, x, arg, s))
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return false;
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out = out & s;
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}
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return true;
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}
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if (m.is_or(pred)) {
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out = seq::range_predicate::empty(maxc);
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for (expr *arg : *to_app(pred)) {
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seq::range_predicate s(maxc);
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if (!pred_to_rp(m, sq, x, arg, s))
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return false;
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out = out | s;
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}
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return true;
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}
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return false;
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}
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bool regex_to_range_predicate(seq_util& u, expr* r, range_predicate& out) {
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// The range algebra only models sets of single characters over the
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// unsigned character domain [0, max_char]. Guard against any regex
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@ -35,6 +103,7 @@ namespace seq {
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unsigned const max_char = u.max_char();
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auto& re = u.re;
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auto &m = u.get_manager();
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if (re.is_empty(r)) {
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out = range_predicate::empty(max_char);
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@ -72,8 +141,10 @@ namespace seq {
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expr *a = nullptr, *b = nullptr, *c = nullptr;
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if (re.is_union(r, a, b)) {
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range_predicate pa(max_char), pb(max_char);
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if (!regex_to_range_predicate(u, a, pa)) return false;
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if (!regex_to_range_predicate(u, b, pb)) return false;
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if (!regex_to_range_predicate(u, a, pa))
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return false;
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if (!regex_to_range_predicate(u, b, pb))
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return false;
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out = pa | pb;
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return true;
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}
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@ -97,12 +168,22 @@ namespace seq {
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if (re.is_intersection(r, a, b)) {
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range_predicate pa(max_char), pb(max_char);
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if (!regex_to_range_predicate(u, a, pa)) return false;
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if (!regex_to_range_predicate(u, b, pb)) return false;
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if (!regex_to_range_predicate(u, a, pa))
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return false;
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if (!regex_to_range_predicate(u, b, pb))
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return false;
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out = pa & pb;
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return true;
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}
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if (re.is_of_pred(r, a)) {
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sort *char_sort = nullptr;
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VERIFY(u.is_seq(seq_sort, char_sort));
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expr_ref var(m.mk_var(0, char_sort), m);
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if (pred_to_rp(m, u, var, a, out))
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return true;
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}
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// NOTE: re.complement is intentionally NOT handled here.
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// re.complement is the SEQUENCE-level complement: its language
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@ -130,6 +211,8 @@ namespace seq {
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expr_ref range_predicate_to_regex(seq_util& u, range_predicate const& p, sort* seq_sort) {
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ast_manager& m = u.get_manager();
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sort* re_sort = u.re.mk_re(seq_sort);
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sort *char_sort = nullptr;
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VERIFY(u.is_seq(seq_sort, char_sort));
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if (p.is_empty())
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return expr_ref(u.re.mk_empty(re_sort), m);
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unsigned const n = p.num_ranges();
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@ -145,16 +228,15 @@ namespace seq {
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// when it has to combine our materialized output with another
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// (id-sorted) regex set.
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expr_ref_vector ranges(m);
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expr_ref bound(m.mk_var(0, char_sort), m);
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symbol char_sym("ch");
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auto &ch = u.get_char_plugin();
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for (unsigned i = 0; i < n; ++i) {
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auto [lo, hi] = p[i];
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ranges.push_back(mk_single_range_regex(u, lo, hi, re_sort));
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ranges.push_back(m.mk_and(ch.mk_le(ch.mk_char(lo), bound), ch.mk_le(bound, ch.mk_char(hi))));
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}
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std::sort(ranges.data(), ranges.data() + ranges.size(),
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[](expr* a, expr* b) { return a->get_id() < b->get_id(); });
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expr_ref acc(ranges.get(n - 1), m);
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for (unsigned i = n - 1; i-- > 0; )
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acc = expr_ref(u.re.mk_union(ranges.get(i), acc), m);
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return acc;
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expr_ref body(m.mk_or(ranges), m);
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return expr_ref(m.mk_lambda(1, &char_sort, &char_sym, body), m);
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}
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}
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@ -228,6 +228,9 @@ public:
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unsigned max_mul(unsigned x, unsigned y) const;
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ast_manager& get_manager() const { return m; }
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char_decl_plugin &get_char_plugin() const {
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return ch;
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}
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sort* mk_char_sort() const { return seq.char_sort(); }
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sort* mk_string_sort() const { return seq.string_sort(); }
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@ -239,7 +242,7 @@ public:
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bool is_re(sort* s) const { return is_sort_of(s, m_fid, RE_SORT); }
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bool is_re(sort* s, sort*& seq) const { return is_sort_of(s, m_fid, RE_SORT) && (seq = to_sort(s->get_parameter(0).get_ast()), true); }
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bool is_seq(expr* e) const { return is_seq(e->get_sort()); }
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bool is_seq(sort* s, sort*& seq) const { return is_seq(s) && (seq = to_sort(s->get_parameter(0).get_ast()), true); }
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bool is_seq(sort* s, sort*& ch) const { return is_seq(s) && (ch = to_sort(s->get_parameter(0).get_ast()), true); }
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bool is_re(expr* e) const { return is_re(e->get_sort()); }
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bool is_re(expr* e, sort*& seq) const { return is_re(e->get_sort(), seq); }
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bool is_const_char(expr* e, unsigned& c) const;
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