mirror of
https://github.com/Z3Prover/z3
synced 2025-04-24 17:45:32 +00:00
Shared features from polysat branch (#6567)
* Allow setting default debug action * Fix dlist and add iterator * Add var_queue iterator * Add some helpers * rational: machine_div2k and pseudo_inverse * Basic support for non-copyable types in map * tbv helpers * pdd updates * Remove duplicate functions gcc doesn't like having both versions
This commit is contained in:
parent
be44ace995
commit
d69155b9e9
13 changed files with 456 additions and 62 deletions
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@ -165,6 +165,47 @@ namespace dd {
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return true;
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}
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unsigned pdd_manager::min_parity(PDD p) {
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if (m_semantics != mod2N_e)
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return 0;
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if (is_val(p)) {
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rational v = val(p);
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if (v.is_zero())
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return m_power_of_2 + 1;
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unsigned r = 0;
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while (v.is_even() && v > 0)
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r++, v /= 2;
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return r;
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}
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init_mark();
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PDD q = p;
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m_todo.push_back(hi(q));
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while (!is_val(q)) {
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q = lo(q);
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m_todo.push_back(hi(q));
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}
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unsigned p2 = val(q).trailing_zeros();
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init_mark();
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while (p2 != 0 && !m_todo.empty()) {
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PDD r = m_todo.back();
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m_todo.pop_back();
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if (is_marked(r))
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continue;
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set_mark(r);
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if (!is_val(r)) {
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m_todo.push_back(lo(r));
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m_todo.push_back(hi(r));
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}
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else if (val(r).is_zero())
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continue;
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else if (val(r).trailing_zeros() < p2)
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p2 = val(r).trailing_zeros();
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}
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m_todo.reset();
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return p2;
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}
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pdd pdd_manager::subst_val(pdd const& p, pdd const& s) {
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return pdd(apply(p.root, s.root, pdd_subst_val_op), this);
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}
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@ -185,7 +226,20 @@ namespace dd {
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pdd v_val = mk_var(v) + val;
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return pdd(apply(s.root, v_val.root, pdd_subst_add_op), this);
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}
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bool pdd_manager::subst_get(pdd const& s, unsigned v, rational& out_val) {
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unsigned level_v = m_var2level[v];
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PDD p = s.root;
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while (/* !is_val(p) && */ level(p) > level_v) {
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SASSERT(is_val(lo(p)));
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p = hi(p);
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}
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if (!is_val(p) && level(p) == level_v) {
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out_val = val(lo(p));
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return true;
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}
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return false;
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}
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pdd_manager::PDD pdd_manager::apply(PDD arg1, PDD arg2, pdd_op op) {
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bool first = true;
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@ -1154,6 +1208,11 @@ namespace dd {
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return true;
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}
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/** Return true iff p contains no variables other than v. */
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bool pdd_manager::is_univariate_in(PDD p, unsigned v) {
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return (is_val(p) || var(p) == v) && is_univariate(p);
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}
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/**
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* Push coefficients of univariate polynomial in order of ascending degree.
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* Example: a*x^2 + b*x + c ==> [ c, b, a ]
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@ -1532,7 +1591,6 @@ namespace dd {
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}
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void pdd_manager::gc() {
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m_gc_generation++;
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init_dmark();
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m_free_nodes.reset();
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SASSERT(well_formed());
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@ -1617,26 +1675,26 @@ namespace dd {
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std::ostream& pdd_manager::display(std::ostream& out, pdd const& b) {
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auto mons = to_monomials(b);
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bool first = true;
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for (auto& m : mons) {
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for (auto& [a, vs] : mons) {
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if (!first)
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out << " ";
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if (m.first.is_neg())
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if (a.is_neg())
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out << "- ";
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else if (!first)
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out << "+ ";
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first = false;
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rational c = abs(m.first);
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m.second.reverse();
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if (!c.is_one() || m.second.empty()) {
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if (m_semantics == mod2N_e && mod(-c, m_mod2N) < c)
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out << -mod(-c, m_mod2N);
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else
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rational c = abs(a);
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vs.reverse();
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if (!c.is_one() || vs.empty()) {
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if (m_semantics == mod2N_e)
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out << val_pp(*this, c, !vs.empty());
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else
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out << c;
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if (!m.second.empty()) out << "*";
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if (!vs.empty()) out << "*";
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}
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unsigned v_prev = UINT_MAX;
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unsigned pow = 0;
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for (unsigned v : m.second) {
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for (unsigned v : vs) {
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if (v == v_prev) {
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pow++;
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continue;
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@ -1660,6 +1718,23 @@ namespace dd {
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return out;
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}
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std::ostream& val_pp::display(std::ostream& out) const {
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if (m.get_semantics() != pdd_manager::mod2N_e)
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return out << val;
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unsigned pow;
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if (val.is_power_of_two(pow) && pow > 10)
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return out << "2^" << pow;
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for (int offset : {-2, -1, 1, 2})
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if (val < m.max_value() && (val - offset).is_power_of_two(pow) && pow > 10 && pow < m.power_of_2())
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return out << lparen() << "2^" << pow << (offset >= 0 ? "+" : "") << offset << rparen();
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rational neg_val = mod(-val, m.two_to_N());
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if (neg_val < val) { // keep this condition so we don't suddenly print negative values where we wouldn't otherwise
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if (neg_val.is_power_of_two(pow) && pow > 10)
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return out << "-2^" << pow;
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}
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return out << m.normalize(val);
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}
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bool pdd_manager::well_formed() {
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bool ok = true;
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for (unsigned n : m_free_nodes) {
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@ -1737,6 +1812,13 @@ namespace dd {
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return p.val();
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}
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rational const& pdd::offset() const {
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pdd p = *this;
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while (!p.is_val())
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p = p.lo();
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return p.val();
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}
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pdd pdd::shl(unsigned n) const {
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return (*this) * rational::power_of_two(n);
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}
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@ -10,7 +10,7 @@ Abstract:
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Poly DD package
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It is a mild variant of ZDDs.
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In PDDs arithmetic is either standard or using mod 2 (over GF2).
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In PDDs arithmetic is either standard or using mod 2^n.
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Non-leaf nodes are of the form x*hi + lo
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where
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@ -208,7 +208,6 @@ namespace dd {
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rational m_mod2N;
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unsigned m_power_of_2 = 0;
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rational m_max_value;
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unsigned m_gc_generation = 0; ///< will be incremented on each GC
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void reset_op_cache();
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void init_nodes(unsigned_vector const& l2v);
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@ -254,7 +253,9 @@ namespace dd {
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inline bool is_val(PDD p) const { return m_nodes[p].is_val(); }
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inline bool is_internal(PDD p) const { return m_nodes[p].is_internal(); }
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inline bool is_var(PDD p) const { return !is_val(p) && is_zero(lo(p)) && is_one(hi(p)); }
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inline bool is_max(PDD p) const { SASSERT(m_semantics == mod2_e || m_semantics == mod2N_e); return is_val(p) && val(p) == max_value(); }
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bool is_never_zero(PDD p);
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unsigned min_parity(PDD p);
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inline unsigned level(PDD p) const { return m_nodes[p].m_level; }
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inline unsigned var(PDD p) const { return m_level2var[level(p)]; }
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inline PDD lo(PDD p) const { return m_nodes[p].m_lo; }
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@ -315,6 +316,11 @@ namespace dd {
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pdd_manager(unsigned num_vars, semantics s = free_e, unsigned power_of_2 = 0);
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~pdd_manager();
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pdd_manager(pdd_manager const&) = delete;
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pdd_manager(pdd_manager&&) = delete;
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pdd_manager& operator=(pdd_manager const&) = delete;
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pdd_manager& operator=(pdd_manager&&) = delete;
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semantics get_semantics() const { return m_semantics; }
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void reset(unsigned_vector const& level2var);
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@ -343,6 +349,7 @@ namespace dd {
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pdd subst_val(pdd const& a, unsigned v, rational const& val);
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pdd subst_val(pdd const& a, pdd const& s);
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pdd subst_add(pdd const& s, unsigned v, rational const& val);
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bool subst_get(pdd const& s, unsigned v, rational& out_val);
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bool resolve(unsigned v, pdd const& p, pdd const& q, pdd& r);
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pdd reduce(unsigned v, pdd const& a, pdd const& b);
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void quot_rem(pdd const& a, pdd const& b, pdd& q, pdd& r);
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bool is_monomial(PDD p);
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bool is_univariate(PDD p);
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bool is_univariate_in(PDD p, unsigned v);
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void get_univariate_coefficients(PDD p, vector<rational>& coeff);
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// create an spoly r if leading monomials of a and b overlap
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unsigned power_of_2() const { return m_power_of_2; }
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rational const& max_value() const { return m_max_value; }
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rational const& two_to_N() const { return m_mod2N; }
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rational normalize(rational const& n) const { return mod(-n, m_mod2N) < n ? -mod(-n, m_mod2N) : n; }
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unsigned_vector const& free_vars(pdd const& p);
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unsigned var() const { return m.var(root); }
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rational const& val() const { SASSERT(is_val()); return m.val(root); }
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rational const& leading_coefficient() const;
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rational const& offset() const;
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bool is_val() const { return m.is_val(root); }
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bool is_one() const { return m.is_one(root); }
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bool is_zero() const { return m.is_zero(root); }
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bool is_linear() const { return m.is_linear(root); }
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bool is_var() const { return m.is_var(root); }
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/** Polynomial is of the form a * x + b for numerals a, b. */
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bool is_max() const { return m.is_max(root); }
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/** Polynomial is of the form a * x + b for some numerals a, b. */
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bool is_unilinear() const { return !is_val() && lo().is_val() && hi().is_val(); }
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/** Polynomial is of the form a * x for some numeral a. */
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bool is_unary() const { return !is_val() && lo().is_zero() && hi().is_val(); }
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bool is_offset() const { return !is_val() && lo().is_val() && hi().is_one(); }
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bool is_binary() const { return m.is_binary(root); }
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bool is_monomial() const { return m.is_monomial(root); }
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bool is_univariate() const { return m.is_univariate(root); }
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bool is_univariate_in(unsigned v) const { return m.is_univariate_in(root, v); }
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void get_univariate_coefficients(vector<rational>& coeff) const { m.get_univariate_coefficients(root, coeff); }
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vector<rational> get_univariate_coefficients() const { vector<rational> coeff; m.get_univariate_coefficients(root, coeff); return coeff; }
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bool is_never_zero() const { return m.is_never_zero(root); }
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unsigned min_parity() const { return m.min_parity(root); }
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bool var_is_leaf(unsigned v) const { return m.var_is_leaf(root, v); }
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pdd operator-() const { return m.minus(*this); }
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@ -455,7 +470,8 @@ namespace dd {
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pdd subst_val0(vector<std::pair<unsigned, rational>> const& s) const { return m.subst_val0(*this, s); }
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pdd subst_val(pdd const& s) const { return m.subst_val(*this, s); }
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pdd subst_val(unsigned v, rational const& val) const { return m.subst_val(*this, v, val); }
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pdd subst_add(unsigned var, rational const& val) { return m.subst_add(*this, var, val); }
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pdd subst_add(unsigned var, rational const& val) const { return m.subst_add(*this, var, val); }
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bool subst_get(unsigned var, rational& out_val) const { return m.subst_get(*this, var, out_val); }
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/**
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* \brief substitute variable v by r.
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@ -538,6 +554,18 @@ namespace dd {
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bool operator!=(pdd_iterator const& other) const { return m_nodes != other.m_nodes; }
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};
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class val_pp {
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pdd_manager const& m;
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rational const& val;
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bool require_parens;
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char const* lparen() const { return require_parens ? "(" : ""; }
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char const* rparen() const { return require_parens ? ")" : ""; }
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public:
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val_pp(pdd_manager const& m, rational const& val, bool require_parens = false): m(m), val(val), require_parens(require_parens) {}
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std::ostream& display(std::ostream& out) const;
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};
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inline std::ostream& operator<<(std::ostream& out, val_pp const& v) { return v.display(out); }
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}
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@ -571,6 +571,38 @@ public:
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}
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}
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static void subst_get() {
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std::cout << "subst_get\n";
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pdd_manager m(4, pdd_manager::mod2N_e, 32);
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unsigned const va = 0;
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unsigned const vb = 1;
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unsigned const vc = 2;
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unsigned const vd = 3;
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rational val;
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pdd s = m.one();
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std::cout << s << "\n";
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VERIFY(!s.subst_get(va, val));
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VERIFY(!s.subst_get(vb, val));
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VERIFY(!s.subst_get(vc, val));
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VERIFY(!s.subst_get(vd, val));
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s = s.subst_add(va, rational(5));
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std::cout << s << "\n";
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VERIFY(s.subst_get(va, val) && val == 5);
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VERIFY(!s.subst_get(vb, val));
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VERIFY(!s.subst_get(vc, val));
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VERIFY(!s.subst_get(vd, val));
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s = s.subst_add(vc, rational(7));
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std::cout << s << "\n";
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VERIFY(s.subst_get(va, val) && val == 5);
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VERIFY(!s.subst_get(vb, val));
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VERIFY(s.subst_get(vc, val) && val == 7);
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VERIFY(!s.subst_get(vd, val));
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}
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static void univariate() {
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std::cout << "univariate\n";
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pdd_manager m(4, pdd_manager::mod2N_e, 4);
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@ -671,6 +703,7 @@ void tst_pdd() {
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dd::test::binary_resolve();
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dd::test::pow();
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dd::test::subst_val();
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dd::test::subst_get();
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dd::test::univariate();
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dd::test::factors();
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}
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@ -75,32 +75,62 @@ bool is_debug_enabled(const char * tag) {
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return g_enabled_debug_tags->contains(tag);
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}
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atomic<debug_action> g_default_debug_action(debug_action::ask);
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debug_action get_default_debug_action() {
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return g_default_debug_action;
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}
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void set_default_debug_action(debug_action a) {
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g_default_debug_action = a;
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}
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debug_action ask_debug_action(std::istream& in) {
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std::cerr << "(C)ontinue, (A)bort, (S)top, (T)hrow exception, Invoke (G)DB\n";
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char result;
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bool ok = bool(in >> result);
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if (!ok)
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exit(ERR_INTERNAL_FATAL); // happens if std::cin is eof or unattached.
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switch(result) {
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case 'C':
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case 'c':
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return debug_action::cont;
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case 'A':
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case 'a':
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return debug_action::abort;
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case 'S':
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case 's':
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return debug_action::stop;
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case 't':
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case 'T':
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return debug_action::throw_exception;
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case 'G':
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case 'g':
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return debug_action::invoke_debugger;
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default:
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std::cerr << "INVALID COMMAND\n";
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return debug_action::ask;
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}
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}
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#if !defined(_WINDOWS) && !defined(NO_Z3_DEBUGGER)
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void invoke_gdb() {
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std::string buffer;
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int * x = nullptr;
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int *x = nullptr;
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debug_action a = get_default_debug_action();
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for (;;) {
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std::cerr << "(C)ontinue, (A)bort, (S)top, (T)hrow exception, Invoke (G)DB\n";
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char result;
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bool ok = bool(std::cin >> result);
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if (!ok) exit(ERR_INTERNAL_FATAL); // happens if std::cin is eof or unattached.
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switch(result) {
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case 'C':
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case 'c':
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switch (a) {
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case debug_action::cont:
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return;
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case 'A':
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case 'a':
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case debug_action::abort:
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exit(1);
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case 'S':
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case 's':
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case debug_action::stop:
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// force seg fault...
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*x = 0;
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return;
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case 't':
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case 'T':
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case debug_action::throw_exception:
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throw default_exception("assertion violation");
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case 'G':
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case 'g':
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case debug_action::invoke_debugger:
|
||||
buffer = "gdb -nw /proc/" + std::to_string(getpid()) + "/exe " + std::to_string(getpid());
|
||||
std::cerr << "invoking GDB...\n";
|
||||
if (system(buffer.c_str()) == 0) {
|
||||
|
@ -109,12 +139,13 @@ void invoke_gdb() {
|
|||
else {
|
||||
std::cerr << "error starting GDB...\n";
|
||||
// forcing seg fault.
|
||||
int * x = nullptr;
|
||||
int *x = nullptr;
|
||||
*x = 0;
|
||||
}
|
||||
return;
|
||||
case debug_action::ask:
|
||||
default:
|
||||
std::cerr << "INVALID COMMAND\n";
|
||||
a = ask_debug_action(std::cin);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
|
|
@ -19,10 +19,22 @@ Revision History:
|
|||
#pragma once
|
||||
|
||||
#include <stdlib.h>
|
||||
#include <iostream>
|
||||
|
||||
void enable_assertions(bool f);
|
||||
bool assertions_enabled();
|
||||
|
||||
enum class debug_action {
|
||||
ask,
|
||||
cont,
|
||||
abort,
|
||||
stop,
|
||||
throw_exception,
|
||||
invoke_debugger,
|
||||
};
|
||||
debug_action get_default_debug_action();
|
||||
void set_default_debug_action(debug_action a);
|
||||
|
||||
#include "util/error_codes.h"
|
||||
#include "util/warning.h"
|
||||
|
||||
|
|
147
src/util/dlist.h
147
src/util/dlist.h
|
@ -17,20 +17,38 @@ Revision History:
|
|||
|
||||
--*/
|
||||
#pragma once
|
||||
#include <type_traits>
|
||||
#include "util/debug.h"
|
||||
#include "util/util.h"
|
||||
|
||||
#define DLIST_EXTRA_ASSERTIONS 0
|
||||
|
||||
template<typename T>
|
||||
template <typename T> class dll_iterator;
|
||||
|
||||
template <typename T>
|
||||
class dll_base {
|
||||
T* m_next { nullptr };
|
||||
T* m_prev { nullptr };
|
||||
T* m_next = nullptr;
|
||||
T* m_prev = nullptr;
|
||||
|
||||
protected:
|
||||
dll_base() = default;
|
||||
~dll_base() = default;
|
||||
|
||||
public:
|
||||
dll_base(dll_base const&) = delete;
|
||||
dll_base(dll_base&&) = delete;
|
||||
dll_base& operator=(dll_base const&) = delete;
|
||||
dll_base& operator=(dll_base&&) = delete;
|
||||
|
||||
T* prev() { return m_prev; }
|
||||
T* next() { return m_next; }
|
||||
T const* prev() const { return m_prev; }
|
||||
T const* next() const { return m_next; }
|
||||
|
||||
void init(T* t) {
|
||||
m_next = t;
|
||||
m_prev = t;
|
||||
SASSERT(invariant());
|
||||
}
|
||||
|
||||
static T* pop(T*& list) {
|
||||
|
@ -41,23 +59,63 @@ public:
|
|||
return head;
|
||||
}
|
||||
|
||||
void insert_after(T* elem) {
|
||||
void insert_after(T* other) {
|
||||
#if DLIST_EXTRA_ASSERTIONS
|
||||
SASSERT(other);
|
||||
SASSERT(invariant());
|
||||
SASSERT(other->invariant());
|
||||
size_t const old_sz1 = count_if(*static_cast<T*>(this), [](T const&) { return true; });
|
||||
size_t const old_sz2 = count_if(*other, [](T const&) { return true; });
|
||||
#endif
|
||||
// have: this -> next -> ...
|
||||
// insert: other -> ... -> other_end
|
||||
// result: this -> other -> ... -> other_end -> next -> ...
|
||||
T* next = this->m_next;
|
||||
elem->m_prev = next->m_prev;
|
||||
elem->m_next = next;
|
||||
this->m_next = elem;
|
||||
next->m_prev = elem;
|
||||
T* other_end = other->m_prev;
|
||||
this->m_next = other;
|
||||
other->m_prev = static_cast<T*>(this);
|
||||
other_end->m_next = next;
|
||||
next->m_prev = other_end;
|
||||
#if DLIST_EXTRA_ASSERTIONS
|
||||
SASSERT(invariant());
|
||||
SASSERT(other->invariant());
|
||||
size_t const new_sz = count_if(*static_cast<T*>(this), [](T const&) { return true; });
|
||||
SASSERT_EQ(new_sz, old_sz1 + old_sz2);
|
||||
#endif
|
||||
}
|
||||
|
||||
void insert_before(T* elem) {
|
||||
void insert_before(T* other) {
|
||||
#if DLIST_EXTRA_ASSERTIONS
|
||||
SASSERT(other);
|
||||
SASSERT(invariant());
|
||||
SASSERT(other->invariant());
|
||||
size_t const old_sz1 = count_if(*static_cast<T*>(this), [](T const&) { return true; });
|
||||
size_t const old_sz2 = count_if(*other, [](T const&) { return true; });
|
||||
#endif
|
||||
// have: prev -> this -> ...
|
||||
// insert: other -> ... -> other_end
|
||||
// result: prev -> other -> ... -> other_end -> this -> ...
|
||||
T* prev = this->m_prev;
|
||||
elem->m_next = prev->m_next;
|
||||
elem->m_prev = prev;
|
||||
prev->m_next = elem;
|
||||
this->m_prev = elem;
|
||||
T* other_end = other->m_prev;
|
||||
prev->m_next = other;
|
||||
other->m_prev = prev;
|
||||
other_end->m_next = static_cast<T*>(this);
|
||||
this->m_prev = other_end;
|
||||
#if DLIST_EXTRA_ASSERTIONS
|
||||
SASSERT(invariant());
|
||||
SASSERT(other->invariant());
|
||||
size_t const new_sz = count_if(*static_cast<T*>(this), [](T const&) { return true; });
|
||||
SASSERT_EQ(new_sz, old_sz1 + old_sz2);
|
||||
#endif
|
||||
}
|
||||
|
||||
static void remove_from(T*& list, T* elem) {
|
||||
#if DLIST_EXTRA_ASSERTIONS
|
||||
SASSERT(list);
|
||||
SASSERT(elem);
|
||||
SASSERT(list->invariant());
|
||||
SASSERT(elem->invariant());
|
||||
#endif
|
||||
if (list->m_next == list) {
|
||||
SASSERT(elem == list);
|
||||
list = nullptr;
|
||||
|
@ -69,6 +127,9 @@ public:
|
|||
auto* prev = elem->m_prev;
|
||||
prev->m_next = next;
|
||||
next->m_prev = prev;
|
||||
#if DLIST_EXTRA_ASSERTIONS
|
||||
SASSERT(list->invariant());
|
||||
#endif
|
||||
}
|
||||
|
||||
static void push_to_front(T*& list, T* elem) {
|
||||
|
@ -105,11 +166,10 @@ public:
|
|||
return true;
|
||||
}
|
||||
|
||||
|
||||
static bool contains(T* list, T* elem) {
|
||||
static bool contains(T const* list, T const* elem) {
|
||||
if (!list)
|
||||
return false;
|
||||
T* first = list;
|
||||
T const* first = list;
|
||||
do {
|
||||
if (list == elem)
|
||||
return true;
|
||||
|
@ -120,5 +180,60 @@ public:
|
|||
}
|
||||
};
|
||||
|
||||
template <typename T>
|
||||
class dll_iterator {
|
||||
T const* m_elem;
|
||||
bool m_first;
|
||||
|
||||
dll_iterator(T const* elem, bool first): m_elem(elem), m_first(first) { }
|
||||
|
||||
public:
|
||||
static dll_iterator mk_begin(T const* elem) {
|
||||
// Setting first==(bool)elem makes this also work for elem==nullptr;
|
||||
// but we can't implement top-level begin/end for pointers because it clashes with the definition for arrays.
|
||||
return {elem, (bool)elem};
|
||||
}
|
||||
|
||||
static dll_iterator mk_end(T const* elem) {
|
||||
return {elem, false};
|
||||
}
|
||||
|
||||
using value_type = T;
|
||||
using pointer = T const*;
|
||||
using reference = T const&;
|
||||
using iterator_category = std::input_iterator_tag;
|
||||
using difference_type = std::ptrdiff_t;
|
||||
|
||||
dll_iterator& operator++() {
|
||||
m_elem = m_elem->next();
|
||||
m_first = false;
|
||||
return *this;
|
||||
}
|
||||
|
||||
T const& operator*() const {
|
||||
return *m_elem;
|
||||
}
|
||||
|
||||
bool operator==(dll_iterator const& other) const {
|
||||
return m_elem == other.m_elem && m_first == other.m_first;
|
||||
}
|
||||
|
||||
bool operator!=(dll_iterator const& other) const {
|
||||
return !operator==(other);
|
||||
}
|
||||
};
|
||||
|
||||
template < typename T
|
||||
, typename U = std::enable_if_t<std::is_base_of_v<dll_base<T>, T>> // should only match if T actually inherits from dll_base<T>
|
||||
>
|
||||
dll_iterator<T> begin(T const& elem) {
|
||||
return dll_iterator<T>::mk_begin(&elem);
|
||||
}
|
||||
|
||||
template < typename T
|
||||
, typename U = std::enable_if_t<std::is_base_of_v<dll_base<T>, T>> // should only match if T actually inherits from dll_base<T>
|
||||
>
|
||||
dll_iterator<T> end(T const& elem)
|
||||
{
|
||||
return dll_iterator<T>::mk_end(&elem);
|
||||
}
|
||||
|
|
|
@ -33,6 +33,10 @@ struct _key_data {
|
|||
m_key(k),
|
||||
m_value(v) {
|
||||
}
|
||||
_key_data(Key const& k, Value&& v):
|
||||
m_key(k),
|
||||
m_value(std::move(v)) {
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Entry, typename HashProc, typename EqProc>
|
||||
|
@ -106,6 +110,10 @@ public:
|
|||
void insert(key const & k, value const & v) {
|
||||
m_table.insert(key_data(k, v));
|
||||
}
|
||||
|
||||
void insert(key const& k, value&& v) {
|
||||
m_table.insert(key_data(k, std::move(v)));
|
||||
}
|
||||
|
||||
bool insert_if_not_there_core(key const & k, value const & v, entry *& et) {
|
||||
return m_table.insert_if_not_there_core(key_data(k,v), et);
|
||||
|
|
|
@ -487,6 +487,8 @@ public:
|
|||
|
||||
void machine_div_rem(mpz const & a, mpz const & b, mpz & c, mpz & d) { mpz_manager<SYNCH>::machine_div_rem(a, b, c, d); }
|
||||
|
||||
void machine_div2k(mpz const & a, unsigned k, mpz & c) { mpz_manager<SYNCH>::machine_div2k(a, k, c); }
|
||||
|
||||
void div(mpz const & a, mpz const & b, mpz & c) { mpz_manager<SYNCH>::div(a, b, c); }
|
||||
|
||||
void rat_div(mpz const & a, mpz const & b, mpq & c) {
|
||||
|
@ -513,6 +515,12 @@ public:
|
|||
machine_div(a.m_num, b.m_num, c);
|
||||
}
|
||||
|
||||
void machine_idiv2k(mpq const & a, unsigned k, mpq & c) {
|
||||
SASSERT(is_int(a));
|
||||
machine_div2k(a.m_num, k, c.m_num);
|
||||
reset_denominator(c);
|
||||
}
|
||||
|
||||
void idiv(mpq const & a, mpq const & b, mpq & c) {
|
||||
SASSERT(is_int(a) && is_int(b));
|
||||
div(a.m_num, b.m_num, c.m_num);
|
||||
|
|
|
@ -153,3 +153,21 @@ bool rational::mult_inverse(unsigned num_bits, rational & result) const {
|
|||
return true;
|
||||
}
|
||||
|
||||
/**
|
||||
* Compute the smallest multiplicative pseudo-inverse modulo 2^num_bits:
|
||||
*
|
||||
* mod(n * n.pseudo_inverse(bits), 2^bits) == 2^k,
|
||||
* where k is maximal such that 2^k divides n.
|
||||
*
|
||||
* Precondition: number is non-zero.
|
||||
*/
|
||||
rational rational::pseudo_inverse(unsigned num_bits) const {
|
||||
rational result;
|
||||
rational const& n = *this;
|
||||
SASSERT(!n.is_zero()); // TODO: or we define pseudo-inverse of 0 as 0.
|
||||
unsigned const k = n.trailing_zeros();
|
||||
rational const odd = machine_div2k(n, k);
|
||||
VERIFY(odd.mult_inverse(num_bits - k, result));
|
||||
SASSERT_EQ(mod(n * result, rational::power_of_two(num_bits)), rational::power_of_two(k));
|
||||
return result;
|
||||
}
|
||||
|
|
|
@ -56,6 +56,8 @@ public:
|
|||
|
||||
explicit rational(char const * v) { m().set(m_val, v); }
|
||||
|
||||
explicit rational(unsigned const * v, unsigned sz) { m().set(m_val, sz, v); }
|
||||
|
||||
struct i64 {};
|
||||
rational(int64_t i, i64) { m().set(m_val, i); }
|
||||
|
||||
|
@ -227,6 +229,12 @@ public:
|
|||
return r;
|
||||
}
|
||||
|
||||
friend inline rational machine_div2k(rational const & r1, unsigned k) {
|
||||
rational r;
|
||||
rational::m().machine_idiv2k(r1.m_val, k, r.m_val);
|
||||
return r;
|
||||
}
|
||||
|
||||
friend inline rational mod(rational const & r1, rational const & r2) {
|
||||
rational r;
|
||||
rational::m().mod(r1.m_val, r2.m_val, r.m_val);
|
||||
|
@ -353,6 +361,7 @@ public:
|
|||
}
|
||||
|
||||
bool mult_inverse(unsigned num_bits, rational & result) const;
|
||||
rational pseudo_inverse(unsigned num_bits) const;
|
||||
|
||||
static rational const & zero() {
|
||||
return m_zero;
|
||||
|
|
|
@ -27,10 +27,10 @@ Revision History:
|
|||
class tbv;
|
||||
|
||||
enum tbit {
|
||||
BIT_z = 0x0,
|
||||
BIT_0 = 0x1,
|
||||
BIT_1 = 0x2,
|
||||
BIT_x = 0x3
|
||||
BIT_z = 0x0, // unknown
|
||||
BIT_0 = 0x1, // for sure 0
|
||||
BIT_1 = 0x2, // for sure 1
|
||||
BIT_x = 0x3 // don't care
|
||||
};
|
||||
|
||||
inline tbit neg(tbit t) {
|
||||
|
@ -43,6 +43,7 @@ class tbv_manager {
|
|||
ptr_vector<tbv> allocated_tbvs;
|
||||
public:
|
||||
tbv_manager(unsigned n): m(2*n) {}
|
||||
tbv_manager(tbv_manager const& m) = delete;
|
||||
~tbv_manager();
|
||||
void reset();
|
||||
tbv* allocate();
|
||||
|
@ -132,8 +133,9 @@ class tbv_ref {
|
|||
tbv_manager& mgr;
|
||||
tbv* d;
|
||||
public:
|
||||
tbv_ref(tbv_manager& mgr):mgr(mgr),d(nullptr) {}
|
||||
tbv_ref(tbv_manager& mgr, tbv* d):mgr(mgr),d(d) {}
|
||||
tbv_ref(tbv_manager& mgr) : mgr(mgr), d(nullptr) {}
|
||||
tbv_ref(tbv_manager& mgr, tbv* d) : mgr(mgr), d(d) {}
|
||||
tbv_ref(tbv_ref&& d) : mgr(d.mgr), d(d.detach()) {}
|
||||
~tbv_ref() {
|
||||
if (d) mgr.deallocate(d);
|
||||
}
|
||||
|
@ -144,8 +146,17 @@ public:
|
|||
}
|
||||
tbv& operator*() { return *d; }
|
||||
tbv* operator->() { return d; }
|
||||
tbv* get() { return d; }
|
||||
tbit operator[](unsigned idx) const { return (*d)[idx]; }
|
||||
tbv* get() const { return d; }
|
||||
tbv* detach() { tbv* result = d; d = nullptr; return result; }
|
||||
tbv_manager& manager() const { return mgr; }
|
||||
unsigned num_tbits() const { return mgr.num_tbits(); }
|
||||
};
|
||||
|
||||
|
||||
inline std::ostream& operator<<(std::ostream& out, tbv_ref const& c) {
|
||||
char const* names[] = { "z", "0", "1", "x" };
|
||||
for (unsigned i = c.num_tbits(); i-- > 0; ) {
|
||||
out << names[static_cast<unsigned>(c[i])];
|
||||
}
|
||||
return out;
|
||||
}
|
||||
|
|
|
@ -20,12 +20,14 @@ Revision History:
|
|||
|
||||
#include "util/debug.h"
|
||||
#include "util/memory_manager.h"
|
||||
#include<ostream>
|
||||
#include<climits>
|
||||
#include<limits>
|
||||
#include<stdint.h>
|
||||
#include <ostream>
|
||||
#include <climits>
|
||||
#include <limits>
|
||||
#include <stdint.h>
|
||||
#include <string>
|
||||
#include <functional>
|
||||
#include <algorithm>
|
||||
#include <iterator>
|
||||
|
||||
#ifndef SIZE_MAX
|
||||
#define SIZE_MAX std::numeric_limits<std::size_t>::max()
|
||||
|
@ -410,3 +412,36 @@ inline size_t megabytes_to_bytes(unsigned mb) {
|
|||
r = SIZE_MAX;
|
||||
return r;
|
||||
}
|
||||
|
||||
/** Compact version of std::count */
|
||||
template <typename Container, typename Item>
|
||||
std::size_t count(Container const& c, Item x)
|
||||
{
|
||||
using std::begin, std::end; // allows begin(c) to also find c.begin()
|
||||
return std::count(begin(c), end(c), std::forward<Item>(x));
|
||||
}
|
||||
|
||||
/** Compact version of std::count_if */
|
||||
template <typename Container, typename Predicate>
|
||||
std::size_t count_if(Container const& c, Predicate p)
|
||||
{
|
||||
using std::begin, std::end; // allows begin(c) to also find c.begin()
|
||||
return std::count_if(begin(c), end(c), std::forward<Predicate>(p));
|
||||
}
|
||||
|
||||
/** Basic version of https://en.cppreference.com/w/cpp/experimental/scope_exit */
|
||||
template <typename Callable>
|
||||
class on_scope_exit final {
|
||||
Callable m_ef;
|
||||
public:
|
||||
on_scope_exit(Callable&& ef)
|
||||
: m_ef(std::forward<Callable>(ef))
|
||||
{ }
|
||||
~on_scope_exit() {
|
||||
m_ef();
|
||||
}
|
||||
};
|
||||
|
||||
/** Helper type for std::visit, see examples on https://en.cppreference.com/w/cpp/utility/variant/visit */
|
||||
template <typename T>
|
||||
struct always_false : std::false_type {};
|
||||
|
|
|
@ -89,6 +89,10 @@ public:
|
|||
}
|
||||
return out;
|
||||
}
|
||||
|
||||
using const_iterator = decltype(m_queue)::const_iterator;
|
||||
const_iterator begin() const { return m_queue.begin(); }
|
||||
const_iterator end() const { return m_queue.end(); }
|
||||
};
|
||||
|
||||
inline std::ostream& operator<<(std::ostream& out, var_queue const& queue) {
|
||||
|
|
Loading…
Add table
Add a link
Reference in a new issue