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https://github.com/Z3Prover/z3
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build dependencies, invariant annotation
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
5e0799225d
commit
469f618742
6 changed files with 108 additions and 29 deletions
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@ -4,4 +4,5 @@ z3_add_component(grobner
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pdd_grobner.cpp
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COMPONENT_DEPENDENCIES
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ast
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dd
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)
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@ -43,8 +43,14 @@ namespace dd {
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}
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void grobner::compute_basis() {
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while (!done() && compute_basis_step()) {
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TRACE("grobner", display(tout););
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try {
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while (!done() && compute_basis_step()) {
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TRACE("grobner", display(tout););
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DEBUG_CODE(invariant(););
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}
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}
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catch (pdd_manager::mem_out) {
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// don't reduce further
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}
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}
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@ -85,6 +91,9 @@ namespace dd {
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}
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}
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/*
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Use a set of equations to simplify eq
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*/
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bool grobner::simplify_using(equation& eq, equation_set const& eqs) {
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bool simplified, changed_leading_term;
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TRACE("grobner", tout << "simplifying: "; display_equation(tout, eq); tout << "using equalities of size " << eqs.size() << "\n";);
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@ -134,8 +143,12 @@ namespace dd {
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toggle_processed(*eq);
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return true;
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}
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// return true iff simplified
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/*
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simplify target using source.
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return true if the target was simplified.
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set changed_leading_term if the target is in the m_processed set and the leading term changed.
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*/
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bool grobner::simplify_source_target(equation const& source, equation& target, bool& changed_leading_term) {
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TRACE("grobner", tout << "simplifying: " << target.poly() << "\nusing: " << source.poly() << "\n";);
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m_stats.m_simplified++;
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@ -152,7 +165,9 @@ namespace dd {
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return true;
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}
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// let eq1: ab+q=0, and eq2: ac+e=0, then qc - eb = 0
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/*
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let eq1: ab+q=0, and eq2: ac+e=0, then qc - eb = 0
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*/
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void grobner::superpose(equation const& eq1, equation const& eq2) {
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TRACE("grobner_d", tout << "eq1="; display_equation(tout, eq1) << "eq2="; display_equation(tout, eq2););
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pdd r(m);
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@ -226,15 +241,16 @@ namespace dd {
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}
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void grobner::update_stats_max_degree_and_size(const equation& e) {
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// TBD m_stats.m_max_expr_size = std::max(m_stats.m_max_expr_size, e.poly().size());
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// TBD m_stats.m_max_expr_degree = std::max(m_stats.m_max_expr_degree, e.poly.degree());
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m_stats.m_max_expr_size = std::max(m_stats.m_max_expr_size, e.poly().tree_size());
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m_stats.m_max_expr_degree = std::max(m_stats.m_max_expr_degree, e.poly().degree());
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}
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std::ostream& grobner::print_stats(std::ostream & out) const {
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return out << "stats:\nsteps = " << m_stats.m_compute_steps << "\nsimplified: " <<
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m_stats.m_simplified << "\nsuperposed: " <<
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m_stats.m_superposed << "\nexpr degree: " << m_stats.m_max_expr_degree <<
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"\nexpr size: " << m_stats.m_max_expr_size << "\n";
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void grobner::collect_statistics(statistics& st) const {
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st.update("steps", m_stats.m_compute_steps);
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st.update("simplified", m_stats.m_simplified);
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st.update("superposed", m_stats.m_superposed);
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st.update("degree", m_stats.m_max_expr_degree);
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st.update("size", m_stats.m_max_expr_size);
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}
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std::ostream& grobner::display_equation(std::ostream & out, const equation & eq) const {
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@ -246,8 +262,28 @@ namespace dd {
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std::ostream& grobner::display(std::ostream& out) const {
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out << "processed\n"; for (auto e : m_processed) display_equation(out, *e);
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out << "to_simplify\n"; for (auto e : m_to_simplify) display_equation(out, *e);
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statistics st;
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collect_statistics(st);
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st.display(out);
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return out;
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}
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void grobner::invariant() const {
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for (auto* e : m_processed) {
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SASSERT(e->is_processed());
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}
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for (auto* e : m_to_simplify) {
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SASSERT(!e->is_processed());
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}
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for (auto* e : m_equations) {
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if (e) {
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SASSERT(!e->is_processed() || m_processed.contains(e));
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SASSERT(e->is_processed() || m_to_simplify.contains(e));
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SASSERT(!is_trivial(*e));
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}
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}
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}
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}
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@ -19,11 +19,12 @@
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--*/
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#pragma once
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#include "math/dd/dd_pdd.h"
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#include "util/dependency.h"
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#include "util/obj_hashtable.h"
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#include "util/region.h"
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#include "util/rlimit.h"
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#include "util/statistics.h"
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#include "math/dd/dd_pdd.h"
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namespace dd {
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@ -31,7 +32,7 @@ class grobner {
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public:
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struct stats {
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unsigned m_simplified;
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unsigned m_max_expr_size;
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double m_max_expr_size;
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unsigned m_max_expr_degree;
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unsigned m_superposed;
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unsigned m_compute_steps;
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@ -40,13 +41,14 @@ public:
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struct config {
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unsigned m_eqs_threshold;
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unsigned m_expr_size_limit;
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};
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private:
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class equation {
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bool m_processed; //!< state
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unsigned m_idx; //!< position at m_equations
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pdd m_poly; // simplified expressionted monomials
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pdd m_poly; //!< polynomial in pdd form
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u_dependency * m_dep; //!< justification for the equality
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public:
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equation(pdd const& p, u_dependency* d, unsigned idx):
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@ -89,10 +91,14 @@ public:
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void operator=(config const& c) { m_config = c; }
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void reset();
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void compute_basis();
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void add(pdd const&, u_dependency * dep);
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void compute_basis();
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equation_set const& equations();
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u_dependency_manager& dep() const { return m_dep_manager; }
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void collect_statistics(statistics & st) const;
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std::ostream& display_equation(std::ostream& out, const equation& eq) const;
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std::ostream& display(std::ostream& out) const;
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@ -117,10 +123,9 @@ private:
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void del_equations(unsigned old_size);
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void del_equation(equation* eq);
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void invariant() const;
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void update_stats_max_degree_and_size(const equation& e);
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std::ostream& print_stats(std::ostream&) const;
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};
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}
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