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https://github.com/Z3Prover/z3
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work on Grobner
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
parent
7d13bcb18e
commit
2c1d68e163
3 changed files with 47 additions and 42 deletions
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@ -581,6 +581,45 @@ grobner::equation * grobner::copy_equation(equation const * eq) {
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return r;
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}
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bool grobner::simplify_for_loop(equation const * source, equation * target, bool & result, unsigned& j ) {
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bool simplified = false;
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unsigned i = 0;
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j = 0;
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unsigned sz = target->m_monomials.size();
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monomial const * LT = source->get_monomial(0);
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ptr_vector<monomial> & new_monomials = m_tmp_monomials;
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new_monomials.reset();
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ptr_vector<expr> & rest = m_tmp_vars1;
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for (; i < sz; i++) {
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monomial * curr = target->m_monomials[i];
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rest.reset();
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if (is_subset(LT, curr, rest)) {
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if (i == 0)
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m_changed_leading_term = true;
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if (!result) {
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// first time that source is being applied.
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target->m_dep = m_dep_manager.mk_join(target->m_dep, source->m_dep);
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}
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simplified = true;
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result = true;
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rational coeff = curr->m_coeff;
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coeff /= LT->m_coeff;
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coeff.neg();
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if (!rest.empty())
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target->m_lc = false;
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mul_append(1, source, coeff, rest, new_monomials);
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del_monomial(curr);
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target->m_monomials[i] = 0;
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}
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else {
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target->m_monomials[j] = curr;
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j++;
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}
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}
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return simplified;
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}
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/**
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\brief Simplify the target equation using the source as a rewrite rule.
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Return 0 if target was not simplified.
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@ -593,49 +632,18 @@ grobner::equation * grobner::simplify(equation const * source, equation * target
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return nullptr;
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m_stats.m_simplify++;
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bool result = false;
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bool simplified;
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do {
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simplified = false;
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unsigned i = 0;
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unsigned j = 0;
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unsigned sz = target->m_monomials.size();
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monomial const * LT = source->get_monomial(0);
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ptr_vector<monomial> & new_monomials = m_tmp_monomials;
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new_monomials.reset();
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ptr_vector<expr> & rest = m_tmp_vars1;
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for (; i < sz; i++) {
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monomial * curr = target->m_monomials[i];
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rest.reset();
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if (is_subset(LT, curr, rest)) {
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if (i == 0)
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m_changed_leading_term = true;
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if (!result) {
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// first time that source is being applied.
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target->m_dep = m_dep_manager.mk_join(target->m_dep, source->m_dep);
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}
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simplified = true;
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result = true;
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rational coeff = curr->m_coeff;
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coeff /= LT->m_coeff;
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coeff.neg();
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if (!rest.empty())
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target->m_lc = false;
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mul_append(1, source, coeff, rest, new_monomials);
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del_monomial(curr);
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target->m_monomials[i] = 0;
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}
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else {
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target->m_monomials[j] = curr;
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j++;
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}
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}
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if (simplified) {
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unsigned j;
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if( simplify_for_loop(source, target, result, j)) {
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target->m_monomials.shrink(j);
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target->m_monomials.append(new_monomials.size(), new_monomials.c_ptr());
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target->m_monomials.append(m_tmp_monomials.size(), m_tmp_monomials.c_ptr());
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simplify(target);
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} else {
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break;
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}
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}
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while (simplified && !m_manager.canceled());
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while (!m_manager.canceled());
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TRACE("grobner", tout << "result: "; display_equation(tout, *target););
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return result ? target : nullptr;
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}
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@ -166,6 +166,7 @@ protected:
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equation * copy_equation(equation const * eq);
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equation * simplify(equation const * source, equation * target);
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bool simplify_for_loop(equation const * source, equation * target, bool&, unsigned &);
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equation * simplify_using_processed(equation * eq);
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@ -344,8 +344,4 @@ public:
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}
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}
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}; // end of var_eqs
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// template <typename T>
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// std::ostream& operator<<(var_eqs<T> const& ve, std::ostream& out) { return ve.display(out); }
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}
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