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https://github.com/Z3Prover/z3
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updates to invertible tactic
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
76417fa3b6
commit
e027622886
1 changed files with 47 additions and 20 deletions
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@ -173,7 +173,6 @@ private:
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return true;
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}
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if (m_bv.is_bv_mul(p)) {
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expr_ref rest(m);
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for (expr* arg : *to_app(p)) {
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if (arg != v)
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@ -184,14 +183,24 @@ private:
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}
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if (!rest) return false;
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// if multiplier by odd number, then just return division.
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// if general multiplier, then create case split on
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// create case split on
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// divisbility of 2
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// v * t -> if (t & 0x1) v / t (if (!(t & 0x1) && (t & 0x3)) ..
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// v * t ->
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// def for v:
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// if t is odd -> v / t
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// if t/2 is odd -> 2*(v/t)
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// if t/4 is odd -> 4*(v/t)
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// .. if t = 0 -> 0
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unsigned sz = m_bv.get_bv_size(p);
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expr_ref bit1(m_bv.mk_numeral(1, 1), m);
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new_v = m_bv.mk_numeral(0, sz);
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expr_ref div(m), def(m);
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if (mc) {
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ensure_mc(mc);
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div = m.mk_app(m_bv.get_fid(), OP_BUDIV_I, v, rest);
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def = new_v;
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}
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for (unsigned i = sz; i-- > 0; ) {
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expr_ref extr_i(m_bv.mk_extract(i, i, rest), m);
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expr_ref cond(m.mk_eq(extr_i, bit1), m);
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@ -200,11 +209,14 @@ private:
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part = m_bv.mk_concat(m_bv.mk_extract(sz-1, i, v), m_bv.mk_numeral(0, i));
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}
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new_v = m.mk_ite(cond, part, new_v);
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if (def) {
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expr_ref shl = div;
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if (i > 0) shl = m_bv.mk_bv_shl(div, m_bv.mk_numeral(i, sz));
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def = m.mk_ite(cond, shl, def);
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}
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}
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if (mc) {
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ensure_mc(mc);
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// TBD: represent inverse
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if (def) {
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(*mc)->add(v, def);
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}
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return true;
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}
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@ -217,32 +229,34 @@ private:
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return true;
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}
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if (m_bv.is_bv_sub(p)) {
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// TBD
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}
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if (m_bv.is_bv_neg(p)) {
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// TBD
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}
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if (m_bv.is_bv_udivi(p)) {
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// TBD
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}
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// sdivi, sremi, uremi, smodi
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// TBD
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expr* e1 = nullptr, *e2 = nullptr;
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if (m.is_eq(p, e1, e2)) {
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if (mc && m_bv.is_bv(e1)) {
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if (!is_ground(p)) return false;
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if (mc && has_diagonal(e1)) {
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ensure_mc(mc);
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new_v = m.mk_fresh_const("eq", m.mk_bool_sort());
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SASSERT(v == e1 || v == e2);
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expr* other = (v == e1) ? e2 : e1;
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(*mc)->hide(new_v);
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(*mc)->add(v, m.mk_ite(new_v, other, m_bv.mk_bv_neg(other)));
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(*mc)->add(v, m.mk_ite(new_v, other, mk_diagonal(other)));
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return true;
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}
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else if (mc) {
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// diagonal functions for other types depend on theory.
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return false;
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}
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else if (is_var(v) && non_singleton_sort(m.get_sort(v))) {
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else if (is_var(v) && is_non_singleton_sort(m.get_sort(v))) {
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new_v = m.mk_var(to_var(v)->get_idx(), m.mk_bool_sort());
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return true;
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}
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@ -250,11 +264,24 @@ private:
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return false;
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}
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bool non_singleton_sort(sort* s) {
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if (m_bv.is_bv_sort(s) && m_bv.get_bv_size(s) > 0) return true;
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if (m.is_bool(s)) return true;
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// TBD: add arithmetic and other relevant theories.
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return false;
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bool has_diagonal(expr* e) {
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return
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m_bv.is_bv(e) ||
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m.is_bool(e);
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}
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expr * mk_diagonal(expr* e) {
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if (m_bv.is_bv(e)) return m_bv.mk_bv_neg(e);
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if (m.is_bool(e)) return m.mk_not(e);
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UNREACHABLE();
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return e;
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}
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bool is_non_singleton_sort(sort* s) {
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if (m.is_uninterp(s)) return false;
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sort_size sz = s->get_num_elements();
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if (sz.is_finite() && sz.size() == 1) return false;
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return true;
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}
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struct reduce_q_rw_cfg : public default_rewriter_cfg {
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