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https://github.com/Z3Prover/z3
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use offset/length for fixed slices to allow super-slices
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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80184c6ee2
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5 changed files with 33 additions and 24 deletions
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@ -32,28 +32,35 @@ namespace polysat {
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// if x[hi:lo] = value, then
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// 2^(w-hi+1)* x >=
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bool fixed_bits::check(rational const& val, fi_record& fi) {
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unsigned sz = c.size(m_var);
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for (auto const& s : m_fixed_slices) {
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rational bw = rational::power_of_two(s.hi - s.lo + 1);
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if (s.value != mod(machine_div2k(val, s.lo + 1), bw)) {
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rational bw = rational::power_of_two(s.length);
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// slice is properly contained in bit-vector variable
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if (s.length <= sz && s.value != mod(machine_div2k(val, s.offset + 1), bw)) {
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SASSERT(s.offset + s.length <= sz);
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rational hi_val = s.value;
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rational lo_val = mod(s.value + 1, bw);
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unsigned sz = c.size(m_var);
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pdd lo = c.value(rational::power_of_two(sz - s.hi - 1) * lo_val, c.size(m_var));
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pdd hi = c.value(rational::power_of_two(sz - s.hi - 1) * hi_val, c.size(m_var));
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rational lo_val = mod(s.value + 1, bw);
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pdd lo = c.value(rational::power_of_two(sz - s.offset - s.length) * lo_val, c.size(m_var));
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pdd hi = c.value(rational::power_of_two(sz - s.offset - s.length) * hi_val, c.size(m_var));
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fi.reset();
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fi.interval = eval_interval::proper(lo, lo_val, hi, hi_val);
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fi.deps.push_back(dependency({ m_var, s }));
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fi.bit_width = s.hi - s.lo + 1;
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fi.bit_width = s.length;
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fi.coeff = 1;
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return false;
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}
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// slice, properly contains variable.
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// s.offset refers to offset in containing value.
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if (s.length > sz) {
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NOT_IMPLEMENTED_YET();
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}
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}
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return true;
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}
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std::ostream& fixed_bits::display(std::ostream& out) const {
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for (auto const& s : m_fixed_slices)
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out << s.hi << " " << s.lo << " " << s.value << "\n";
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out << s.value << "[" << s.length << "]@" << s.offset << "\n";
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return out;
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}
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@ -80,7 +87,7 @@ namespace polysat {
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if (d.parity(N) < k)
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return false;
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rational const b = machine_div2k(d, k);
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out = fixed_slice(N - k - 1, 0, b);
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out = fixed_slice(b, 0, N - k);
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SASSERT_EQ(d, b * rational::power_of_two(k));
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SASSERT_EQ(p, (p.manager().mk_var(p.var()) - out.value) * rational::power_of_two(k));
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return true;
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@ -148,8 +155,8 @@ namespace polysat {
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rational const c = is_strict ? rhs.val() : (rhs.val() + 1);
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unsigned const k = c.next_power_of_two();
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if (k < N) {
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out.hi = N - 1;
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out.lo = k;
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out.length = N - k;
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out.offset = k;
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out.value = 0;
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return true;
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}
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@ -36,17 +36,17 @@ namespace polysat {
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class signed_constraint;
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struct fixed_slice {
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unsigned hi = 0;
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unsigned lo = 0;
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unsigned offset = 0;
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unsigned length = 0;
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rational value;
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fixed_slice() = default;
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fixed_slice(unsigned hi, unsigned lo, rational value) : hi(hi), lo(lo), value(value) {}
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fixed_slice(rational value, unsigned offset, unsigned length) : offset(offset), length(length), value(value) {}
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};
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struct fixed_claim : public fixed_slice {
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pvar v;
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fixed_claim() = default;
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fixed_claim(pvar v, unsigned hi, unsigned lo, rational value) : fixed_slice(hi, lo, value), v(v) {}
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fixed_claim(pvar v, rational value, unsigned offset, unsigned length) : fixed_slice(value, offset, length), v(v) {}
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fixed_claim(pvar, fixed_slice const& s) : fixed_slice(s), v(v) {}
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};
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@ -100,7 +100,7 @@ namespace polysat {
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}
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else if (d.is_fixed_claim()) {
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auto fixed = d.fixed();
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return out << fixed.value << " == v" << fixed.v << " [" << fixed.hi << ":" << fixed.lo << "]";
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return out << fixed.value << " == v" << fixed.v << " [" << fixed.length << "]@" << fixed.offset;
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}
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else {
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UNREACHABLE();
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@ -94,8 +94,9 @@ namespace polysat {
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// walk the e-graph to retrieve fixed overlaps
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void solver::get_fixed_bits(pvar pv, fixed_bits_vector& out) {
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std::function<bool(euf::enode*, unsigned)> consume_slice = [&](euf::enode* n, unsigned offset) {
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// verbose_stream() << "sub-slice " << ctx.bpp(n) << " " << offset << "\n";
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if (!n->interpreted())
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return true;
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auto w = n->get_root()->get_th_var(get_id());
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@ -104,13 +105,14 @@ namespace polysat {
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auto const& p = m_var2pdd[w];
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if (!p.is_var())
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return true;
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unsigned lo = offset, hi = bv.get_bv_size(n->get_expr());
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unsigned length = bv.get_bv_size(n->get_expr());
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rational value;
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VERIFY(bv.is_numeral(n->get_expr(), value));
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out.push_back({ fixed_slice(lo, hi, value) });
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out.push_back({ fixed_slice(value, offset, length) });
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return false;
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};
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theory_var v = m_pddvar2var[pv];
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// verbose_stream() << "Get fixed_bits " << ctx.bpp(var2enode(v)) << "\n";
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m_bv_plugin->sub_slices(var2enode(v), consume_slice);
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}
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@ -120,12 +122,12 @@ namespace polysat {
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m_bv_plugin->explain_slice(var2enode(v), offset, var2enode(w), consume_eq);
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}
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void solver::explain_fixed(pvar pv, unsigned lo, unsigned hi, rational const& value, std::function<void(euf::enode*, euf::enode*)>& consume_eq) {
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void solver::explain_fixed(pvar pv, fixed_slice const& slice, std::function<void(euf::enode*, euf::enode*)>& consume_eq) {
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euf::theory_var v = m_pddvar2var[pv];
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expr_ref val(bv.mk_numeral(value, hi - lo + 1), m);
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expr_ref val(bv.mk_numeral(slice.value, slice.length), m);
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euf::enode* b = ctx.get_egraph().find(val);
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SASSERT(b);
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m_bv_plugin->explain_slice(var2enode(v), lo, b, consume_eq);
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m_bv_plugin->explain_slice(var2enode(v), slice.offset, b, consume_eq);
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}
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}
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@ -147,7 +147,7 @@ namespace polysat {
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std::function<void(euf::enode*, euf::enode*)> consume = [&](auto* a, auto* b) {
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eqs.push_back({ a, b });
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};
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explain_fixed(o.v, o.lo, o.hi, o.value, consume);
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explain_fixed(o.v, o, consume);
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}
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else if (d.is_offset_claim()) {
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auto const& offs = d.offset();
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@ -112,7 +112,7 @@ namespace polysat {
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sat::check_result intblast();
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void explain_slice(pvar v, pvar w, unsigned offset, std::function<void(euf::enode*, euf::enode*)>& consume);
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void explain_fixed(pvar v, unsigned lo, unsigned hi, rational const& value, std::function<void(euf::enode*, euf::enode*)>& consume_eq);
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void explain_fixed(pvar v, fixed_slice const& s, std::function<void(euf::enode*, euf::enode*)>& consume_eq);
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// internalize
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bool visit(expr* e) override;
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