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https://github.com/Z3Prover/z3
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debug refactor of smon
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
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9411911cf3
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11e3e1b463
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@ -311,23 +311,23 @@ namespace nla {
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// yes, assume that monomials are non-empty.
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emonomials::pf_iterator::pf_iterator(emonomials const& m, monomial & mon, bool at_end):
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m(m), m_mon(&mon), m_it(iterator(m, m.head(mon.vars()[0]), at_end)), m_end(iterator(m, m.head(mon.vars()[0]), true)) {
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m_em(m), m_mon(&mon), m_it(iterator(m, m.head(mon.vars()[0]), at_end)), m_end(iterator(m, m.head(mon.vars()[0]), true)) {
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fast_forward();
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}
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emonomials::pf_iterator::pf_iterator(emonomials const& m, lpvar v, bool at_end):
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m(m), m_mon(nullptr), m_it(iterator(m, m.head(v), at_end)), m_end(iterator(m, m.head(v), true)) {
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m_em(m), m_mon(nullptr), m_it(iterator(m, m.head(v), at_end)), m_end(iterator(m, m.head(v), true)) {
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fast_forward();
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}
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void emonomials::pf_iterator::fast_forward() {
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for (; m_it != m_end; ++m_it) {
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if (m_mon && m_mon->var() != (*m_it).var() && m.canonize_divides(*m_mon, *m_it) && !m.is_visited(*m_it)) {
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m.set_visited(*m_it);
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if (m_mon && m_mon->var() != (*m_it).var() && m_em.canonize_divides(*m_mon, *m_it) && !m_em.is_visited(*m_it)) {
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m_em.set_visited(*m_it);
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break;
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}
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if (!m_mon && !m.is_visited(*m_it)) {
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m.set_visited(*m_it);
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if (!m_mon && !m_em.is_visited(*m_it)) {
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m_em.set_visited(*m_it);
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break;
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}
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}
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@ -141,7 +141,7 @@ public:
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monomial & operator[](lpvar v) { return m_monomials[m_var2index[v]]; }
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/**
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\brief obtain the representative canonized monomial up to sign.
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\brief obtain the representative canonized monomial
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*/
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monomial const& rep(monomial const& sv) const {
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@ -193,9 +193,9 @@ public:
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\brief retrieve monomials m' where m is a proper factor of modulo current equalities.
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*/
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class pf_iterator {
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emonomials const& m;
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emonomials const& m_em;
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monomial * m_mon; // monomial
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iterator m_it; // iterator over the first variable occurs list, ++ filters out elements that are not factors.
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iterator m_it; // iterator over the first variable occurs list, ++ filters out elements that do not have m as a factor
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iterator m_end;
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void fast_forward();
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@ -209,19 +209,19 @@ public:
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bool operator!=(pf_iterator const& other) const { return m_it != other.m_it; }
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};
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class factors_of {
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class products_of {
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emonomials const& m;
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monomial * mon;
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lpvar m_var;
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public:
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factors_of(emonomials const& m, monomial & mon): m(m), mon(&mon), m_var(UINT_MAX) {}
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factors_of(emonomials const& m, lpvar v): m(m), mon(nullptr), m_var(v) {}
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products_of(emonomials const& m, monomial & mon): m(m), mon(&mon), m_var(UINT_MAX) {}
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products_of(emonomials const& m, lpvar v): m(m), mon(nullptr), m_var(v) {}
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pf_iterator begin() { if (mon) return pf_iterator(m, *mon, false); return pf_iterator(m, m_var, false); }
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pf_iterator end() { if (mon) return pf_iterator(m, *mon, true); return pf_iterator(m, m_var, true); }
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};
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factors_of get_factors_of(monomial& m) const { inc_visited(); return factors_of(*this, m); }
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factors_of get_factors_of(lpvar v) const { inc_visited(); return factors_of(*this, v); }
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products_of get_products_of(monomial& m) const { inc_visited(); return products_of(*this, m); }
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products_of get_products_of(lpvar v) const { inc_visited(); return products_of(*this, v); }
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monomial const* find_canonical(svector<lpvar> const& vars) const;
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@ -24,9 +24,11 @@
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namespace nla {
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// The order lemma is
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// a > b && c > 0 => ac > bc
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void order::order_lemma() {
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TRACE("nla_solver", );
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const auto& rm_ref = c().m_to_refine;
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const auto& rm_ref = c().m_to_refine; // todo : run on the rooted subset or m_to_refine
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unsigned start = random();
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unsigned sz = rm_ref.size();
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for (unsigned i = 0; i < sz && !done(); ++i) {
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@ -35,11 +37,15 @@ void order::order_lemma() {
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}
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}
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// The order lemma is
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// a > b && c > 0 => ac > bc
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// Consider here some binary factorizations of m=ac and
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// try create order lemmas with either factor playing the role of c.
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void order::order_lemma_on_rmonomial(const monomial& m) {
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TRACE("nla_solver_details",
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tout << "m = " << pp_mon(c(), m););
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for (auto ac : factorization_factory_imp(m, c())) {
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for (auto ac : factorization_factory_imp(m, _())) {
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if (ac.size() != 2)
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continue;
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if (ac.is_mon())
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@ -50,17 +56,22 @@ void order::order_lemma_on_rmonomial(const monomial& m) {
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break;
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}
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}
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// Here ac is a monomial of size 2
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// Trying to get an order lemma is
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// a > b && c > 0 => ac > bc,
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// with either variable of ac playing the role of c
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void order::order_lemma_on_binomial(const monomial& ac) {
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TRACE("nla_solver", tout << pp_mon(c(), ac););
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SASSERT(!check_monomial(ac) && ac.size() == 2);
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const rational mult_val = vvr(ac.vars()[0]) * vvr(ac.vars()[1]);
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const rational acv = vvr(ac);
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bool gt = acv > mult_val;
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for (unsigned k = 0; k < 2; k++) {
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order_lemma_on_binomial_k(ac, k == 1, gt);
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order_lemma_on_factor_binomial_explore(ac, k == 1);
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}
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bool k = false;
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do {
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order_lemma_on_binomial_k(ac, k, gt);
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order_lemma_on_factor_binomial_explore(ac, k);
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k = !k;
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} while (k);
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}
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void order::order_lemma_on_binomial_k(const monomial& m, bool k, bool gt) {
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@ -86,12 +97,14 @@ void order::order_lemma_on_binomial_sign(const monomial& xy, lpvar x, lpvar y, i
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mk_ineq(xy.var(), - vvr(x), y, sign == 1 ? llc::LE : llc::GE);
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TRACE("nla_solver", print_lemma(tout););
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}
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void order::order_lemma_on_factor_binomial_explore(const monomial& m1, bool k) {
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SASSERT(m1.size() == 2);
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lpvar c = m1.vars()[k];
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for (monomial const& m2 : _().m_emons.get_factors_of(c)) {
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order_lemma_on_factor_binomial_rm(m1, k, m2);
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// m's size is 2 and m = m[k]a[!k] if k is false and m = m[!k]a[k] if k is true
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// We look for monomials of form m[k]d and see if we can create an order lemma for
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// m and m[k]d
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void order::order_lemma_on_factor_binomial_explore(const monomial& m, bool k) {
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SASSERT(m.size() == 2);
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lpvar c = m.vars()[k];
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for (monomial const& m2 : _().m_emons.get_products_of(c)) {
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order_lemma_on_factor_binomial_rm(m, k, m2);
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if (done()) {
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break;
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}
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@ -99,6 +112,7 @@ void order::order_lemma_on_factor_binomial_explore(const monomial& m1, bool k) {
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}
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void order::order_lemma_on_factor_binomial_rm(const monomial& ac, bool k, const monomial& bd) {
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TRACE("nla_solver", tout << "bd=" << pp_mon(_(), bd) << "\n";);
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factor d(_().m_evars.find(ac.vars()[k]).var(), factor_type::VAR);
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factor b;
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if (c().divide(bd, d, b)) {
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@ -208,7 +222,7 @@ bool order::order_lemma_on_ac_explore(const monomial& rm, const factorization& a
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}
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}
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else {
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for (monomial const& bc : _().m_emons.get_factors_of(c.var())) {
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for (monomial const& bc : _().m_emons.get_products_of(c.var())) {
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if (order_lemma_on_ac_and_bc(rm , ac, k, bc)) {
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return true;
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}
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