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https://github.com/Z3Prover/z3
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initial overflow test
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
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99e2247ccb
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6 changed files with 47 additions and 8 deletions
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@ -202,6 +202,9 @@ namespace polysat {
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return ~ule(b, a);
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return ~ule(b, a);
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}
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}
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signed_constraint constraint_manager::mul_ovfl(pdd const& a, pdd const& b) {
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return { dedup(alloc(mul_ovfl_constraint, *this, a, b)), true };
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}
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// To do signed comparison of bitvectors, flip the msb and do unsigned comparison:
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// To do signed comparison of bitvectors, flip the msb and do unsigned comparison:
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@ -94,6 +94,7 @@ namespace polysat {
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signed_constraint ult(pdd const& a, pdd const& b);
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signed_constraint ult(pdd const& a, pdd const& b);
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signed_constraint sle(pdd const& a, pdd const& b);
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signed_constraint sle(pdd const& a, pdd const& b);
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signed_constraint slt(pdd const& a, pdd const& b);
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signed_constraint slt(pdd const& a, pdd const& b);
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signed_constraint mul_ovfl(pdd const& p, pdd const& q);
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constraint *const* begin() const { return m_constraints.data(); }
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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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constraint *const* end() const { return m_constraints.data() + m_constraints.size(); }
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@ -18,7 +18,6 @@ namespace polysat {
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mul_ovfl_constraint::mul_ovfl_constraint(constraint_manager& m, pdd const& p, pdd const& q):
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mul_ovfl_constraint::mul_ovfl_constraint(constraint_manager& m, pdd const& p, pdd const& q):
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constraint(m, ckind_t::mul_ovfl_t), m_p(p), m_q(q) {
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constraint(m, ckind_t::mul_ovfl_t), m_p(p), m_q(q) {
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simplify();
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simplify();
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m_vars.append(m_p.free_vars());
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m_vars.append(m_p.free_vars());
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for (auto v : m_q.free_vars())
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for (auto v : m_q.free_vars())
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@ -33,6 +32,8 @@ namespace polysat {
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m_p = 0;
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m_p = 0;
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return;
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return;
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}
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}
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if (m_p.index() > m_q.index())
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std::swap(m_p, m_q);
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}
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}
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std::ostream& mul_ovfl_constraint::display(std::ostream& out, lbool status) const {
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std::ostream& mul_ovfl_constraint::display(std::ostream& out, lbool status) const {
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@ -104,8 +105,6 @@ namespace polysat {
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* TODO optimizations:
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* TODO optimizations:
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* if p is constant, q variable, update viable for q
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* if p is constant, q variable, update viable for q
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*
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*
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* Use bounds on variables in p instead of current assignment as premise.
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* This is a more general lemma
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*/
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*/
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bool mul_ovfl_constraint::narrow_bound(solver& s, bool is_positive,
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bool mul_ovfl_constraint::narrow_bound(solver& s, bool is_positive,
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pdd const& p0, pdd const& q0, pdd const& p, pdd const& q) {
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pdd const& p0, pdd const& q0, pdd const& p, pdd const& q) {
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@ -118,22 +117,31 @@ namespace polysat {
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// p * q >= max + 1 <=> q >= (max + 1)/p <=> q >= ceil((max+1)/p)
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// p * q >= max + 1 <=> q >= (max + 1)/p <=> q >= ceil((max+1)/p)
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auto bound = ceil((max + 1) / p.val());
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auto bound = ceil((max + 1) / p.val());
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//
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// the clause that explains bound <= q or bound > q
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// the clause that explains bound <= q or bound > q
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//
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//
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// Ovfl(p, q) & p <= p.val() => q >= bound
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// Ovfl(p, q) & p <= p.val() => q >= bound
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// ~Ovfl(p, q) & p >= p.val() => q < bound
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// ~Ovfl(p, q) & p >= p.val() => q < bound
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//
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signed_constraint sc(this, is_positive);
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signed_constraint sc(this, is_positive);
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signed_constraint premise = is_positive ? s.ule(p0, p.val()) : s.ule(p.val(), p0);
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signed_constraint premise = is_positive ? s.ule(p0, p.val()) : s.ule(p.val(), p0);
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signed_constraint conseq = is_positive ? s.ule(bound, q0) : s.ult(q0, bound);
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signed_constraint conseq = is_positive ? s.ule(bound, q0) : s.ult(q0, bound);
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SASSERT(premise.is_currently_false(s));
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//std::cout << premise << "\n";
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//std::cout << sc << "\n";
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//std::cout << conseq << "\n";
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//std::cout << "Already true " << conseq.is_currently_true(s) << "\n";
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SASSERT(premise.is_currently_true(s));
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clause_builder cb(s);
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clause_builder cb(s);
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cb.push_new(~sc);
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cb.push_new(~sc);
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cb.push_new(~premise);
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cb.push_new(~premise);
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cb.push_new(conseq);
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cb.push_new(conseq);
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clause_ref just = cb.build();
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clause_ref just = cb.build();
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s.assign_propagate(conseq.blit(), *just);
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s.add_lemma(*just);
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s.propagate();
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SASSERT(s.m_bvars.is_true(conseq.blit()));
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return true;
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return true;
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}
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}
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@ -289,6 +289,8 @@ namespace polysat {
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signed_constraint ult(rational const& p, pdd const& q) { return ult(q.manager().mk_val(p), q); }
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signed_constraint ult(rational const& p, pdd const& q) { return ult(q.manager().mk_val(p), q); }
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signed_constraint sle(pdd const& p, pdd const& q) { return m_constraints.sle(p, q); }
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signed_constraint sle(pdd const& p, pdd const& q) { return m_constraints.sle(p, q); }
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signed_constraint slt(pdd const& p, pdd const& q) { return m_constraints.slt(p, q); }
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signed_constraint slt(pdd const& p, pdd const& q) { return m_constraints.slt(p, q); }
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signed_constraint mul_ovfl(pdd const& p, pdd const& q) { return m_constraints.mul_ovfl(p, q); }
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signed_constraint mul_ovfl(rational const& p, pdd const& q) { return mul_ovfl(q.manager().mk_val(p), q); }
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/** Create and activate polynomial constraints. */
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/** Create and activate polynomial constraints. */
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@ -298,6 +300,8 @@ namespace polysat {
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void add_ult(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(ult(p, q), dep); }
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void add_ult(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(ult(p, q), dep); }
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void add_sle(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(sle(p, q), dep); }
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void add_sle(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(sle(p, q), dep); }
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void add_slt(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(slt(p, q), dep); }
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void add_slt(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(slt(p, q), dep); }
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void add_noovfl(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(~mul_ovfl(p, q), dep); }
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void add_ovfl(pdd const& p, pdd const& q, unsigned dep = null_dependency) { assign_eh(mul_ovfl(p, q), dep); }
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void add_ule(pdd const& p, rational const& q, unsigned dep = null_dependency) { add_ule(p, p.manager().mk_val(q), dep); }
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void add_ule(pdd const& p, rational const& q, unsigned dep = null_dependency) { add_ule(p, p.manager().mk_val(q), dep); }
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void add_ule(rational const& p, pdd const& q, unsigned dep = null_dependency) { add_ule(q.manager().mk_val(p), q, dep); }
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void add_ule(rational const& p, pdd const& q, unsigned dep = null_dependency) { add_ule(q.manager().mk_val(p), q, dep); }
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@ -307,6 +311,10 @@ namespace polysat {
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void add_ult(rational const& p, pdd const& q, unsigned dep = null_dependency) { add_ult(q.manager().mk_val(p), q, dep); }
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void add_ult(rational const& p, pdd const& q, unsigned dep = null_dependency) { add_ult(q.manager().mk_val(p), q, dep); }
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void add_ult(pdd const& p, unsigned q, unsigned dep = null_dependency) { add_ult(p, rational(q), dep); }
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void add_ult(pdd const& p, unsigned q, unsigned dep = null_dependency) { add_ult(p, rational(q), dep); }
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void add_ult(unsigned p, pdd const& q, unsigned dep = null_dependency) { add_ult(rational(p), q, dep); }
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void add_ult(unsigned p, pdd const& q, unsigned dep = null_dependency) { add_ult(rational(p), q, dep); }
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void add_noovfl(pdd const& p, rational const& q, unsigned dep = null_dependency) { add_noovfl(p, p.manager().mk_val(q), dep); }
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void add_noovfl(rational const& p, pdd const& q, unsigned dep = null_dependency) { add_noovfl(q, p, dep); }
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void add_noovfl(pdd const& p, unsigned q, unsigned dep = null_dependency) { add_noovfl(p, rational(q), dep); }
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void add_noovfl(unsigned p, pdd const& q, unsigned dep = null_dependency) { add_noovfl(q, p, dep); }
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/**
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/**
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* Activate the constraint corresponding to the given boolean variable.
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* Activate the constraint corresponding to the given boolean variable.
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@ -197,8 +197,8 @@ namespace polysat {
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rational lambda_l = floor(coeff_val / e->coeff);
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rational lambda_l = floor(coeff_val / e->coeff);
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lo = val - lambda_l;
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lo = val - lambda_l;
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}
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}
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SASSERT(hi <= s.var2pdd(v).max_value());
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LOG("forbidden interval " << e->interval << " - " << val << " " << coeff_val << " [" << lo << ", " << hi << "[");
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LOG("forbidden interval " << e->interval << " - " << val << " " << coeff_val << " [" << lo << ", " << hi << "[");
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SASSERT(hi <= max_value);
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entry* ne = alloc_entry();
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entry* ne = alloc_entry();
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ne->src = e->src;
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ne->src = e->src;
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ne->side_cond = e->side_cond;
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ne->side_cond = e->side_cond;
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@ -940,6 +940,22 @@ namespace polysat {
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}
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}
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}
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}
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static void test_quot_rem(unsigned bw = 32) {
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scoped_solver s(__func__);
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auto a = s.var(s.add_var(bw));
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auto quot = s.var(s.add_var(bw));
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auto rem = s.var(s.add_var(bw));
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auto x = a * 123;
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auto y = 123;
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// quot = udiv(a*123, 123)
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s.add_eq(quot * y + rem - x);
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s.add_diseq(a - quot);
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s.add_noovfl(quot, y);
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// s.add_ult(rem, x);
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s.check();
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s.expect_sat();
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}
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// Goal: we probably mix up polysat variables and PDD variables at several points; try to uncover such cases
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// Goal: we probably mix up polysat variables and PDD variables at several points; try to uncover such cases
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// NOTE: actually, add_var seems to keep them in sync, so this is not an issue at the moment (but we should still test it later)
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// NOTE: actually, add_var seems to keep them in sync, so this is not an issue at the moment (but we should still test it later)
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@ -1065,6 +1081,9 @@ namespace polysat {
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void tst_polysat() {
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void tst_polysat() {
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polysat::test_quot_rem();
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return;
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polysat::test_ineq_axiom1();
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polysat::test_ineq_axiom1();
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polysat::test_ineq_axiom2();
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polysat::test_ineq_axiom2();
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polysat::test_ineq_axiom3();
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polysat::test_ineq_axiom3();
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