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https://github.com/Z3Prover/z3
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fix zero/sign extension
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parent
e7c9112beb
commit
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4 changed files with 20 additions and 17 deletions
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@ -640,14 +640,16 @@ namespace polysat {
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return s.var(v);
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}
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pdd constraint_manager::zero_ext(pdd const& p, unsigned bit_width) {
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SASSERT(bit_width > p.power_of_2());
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pdd constraint_manager::zero_ext(pdd const& p, unsigned extra_bits) {
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SASSERT(extra_bits > 0);
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unsigned const p_sz = p.power_of_2();
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unsigned const v_sz = p_sz + extra_bits;
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pdd const q = s.var(s.m_names.mk_name(p));
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constraint_dedup::bv_ext_args const args = {false, q.var(), bit_width};
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constraint_dedup::bv_ext_args const args = {false, q.var(), extra_bits};
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auto const it = m_dedup.m_bv_ext_expr.find_iterator(args);
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if (it != m_dedup.m_bv_ext_expr.end())
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return s.var(it->m_value);
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pdd const v = s.var(s.add_var(bit_width));
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pdd const v = s.var(s.add_var(v_sz));
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m_dedup.m_bv_ext_expr.insert(args, v.var());
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// (1) v[|p|-1:0] = p
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s.add_eq(q, extract(v, p.power_of_2() - 1, 0));
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@ -656,20 +658,21 @@ namespace polysat {
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return v;
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}
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pdd constraint_manager::sign_ext(pdd const& p, unsigned bit_width) {
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pdd constraint_manager::sign_ext(pdd const& p, unsigned extra_bits) {
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SASSERT(extra_bits > 0);
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unsigned const p_sz = p. power_of_2();
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SASSERT(bit_width > p_sz);
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unsigned const v_sz = p_sz + extra_bits;
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pdd const q = s.var(s.m_names.mk_name(p));
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constraint_dedup::bv_ext_args const args = {true, q.var(), bit_width};
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constraint_dedup::bv_ext_args const args = {true, q.var(), extra_bits};
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auto const it = m_dedup.m_bv_ext_expr.find_iterator(args);
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if (it != m_dedup.m_bv_ext_expr.end())
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return s.var(it->m_value);
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pdd const v = s.var(s.add_var(bit_width));
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pdd const v = s.var(s.add_var(v_sz));
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m_dedup.m_bv_ext_expr.insert(args, v.var());
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// (1) v[|p|-1:0] = p
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s.add_eq(q, extract(v, p_sz - 1, 0));
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// (2) Let h := v[bit_width-1:|p|]
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pdd const h = extract(v, bit_width - 1, p_sz);
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// (2) Let h := v[|v|-1:|p|]
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pdd const h = extract(v, v_sz - 1, p_sz);
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signed_constraint p_negative = s.uge(p, rational::power_of_two(p_sz - 1));
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// (3) p < 2^(|p|-1) ==> h = 0
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s.add_clause(p_negative, s.eq(h), false);
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@ -172,8 +172,8 @@ namespace polysat {
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pdd concat(pdd const& p, pdd const& q);
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pdd concat(unsigned num_args, pdd const* args);
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pdd zero_ext(pdd const& p, unsigned bit_width);
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pdd sign_ext(pdd const& p, unsigned bit_width);
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pdd zero_ext(pdd const& p, unsigned extra_bits);
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pdd sign_ext(pdd const& p, unsigned extra_bits);
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constraint* const* begin() const { return m_constraints.data(); }
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constraint* const* end() const { return m_constraints.data() + m_constraints.size(); }
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@ -419,10 +419,10 @@ namespace polysat {
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pdd concat(unsigned num_args, pdd const* args) { return m_constraints.concat(num_args, args); }
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/** Create expression for zero-extension of p */
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pdd zero_ext(pdd const& p, unsigned bit_width) { return m_constraints.zero_ext(p, bit_width); }
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pdd zero_ext(pdd const& p, unsigned extra_bits) { return m_constraints.zero_ext(p, extra_bits); }
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/** Create expression for signed-extension of p */
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pdd sign_ext(pdd const& p, unsigned bit_width) { return m_constraints.sign_ext(p, bit_width); }
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pdd sign_ext(pdd const& p, unsigned extra_bits) { return m_constraints.sign_ext(p, extra_bits); }
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/**
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* Create terms for unsigned quot-rem
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@ -89,10 +89,10 @@ namespace bv {
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case OP_BSREM0: break;
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case OP_BUREM0: break;
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case OP_BSMOD0: break;
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// TODO: what about those naked breaks above? is this handled elsewhere?
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case OP_EXTRACT: polysat_extract(a); break;
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case OP_CONCAT: polysat_concat(a); break;
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case OP_ZERO_EXT: polysat_par_unary(a, [&](pdd const& p, unsigned sz) { return m_polysat.zero_ext(p, sz); }); break;
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case OP_SIGN_EXT: polysat_par_unary(a, [&](pdd const& p, unsigned sz) { return m_polysat.sign_ext(p, sz); }); break;
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@ -199,8 +199,8 @@ namespace bv {
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void solver::polysat_par_unary(app* e, std::function<polysat::pdd(polysat::pdd,unsigned)> const& fn) {
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pdd const p = expr2pdd(e->get_arg(0));
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unsigned const sz = e->get_parameter(0).get_int();
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polysat_set(e, fn(p, sz));
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unsigned const par = e->get_parameter(0).get_int();
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polysat_set(e, fn(p, par));
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}
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void solver::polysat_binary(app* e, std::function<polysat::pdd(polysat::pdd, polysat::pdd)> const& fn) {
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