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https://github.com/Z3Prover/z3
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hook up nla_solver it lp bound propagation
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
parent
33cbd29ed0
commit
9c18ede687
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@ -21,7 +21,7 @@ Revision History:
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#include "util/vector.h"
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#include "implied_bound.h"
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#include "test_bound_analyzer.h"
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#include "math/lp/bound_propagator.h"
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#include "math/lp/lp_bound_propagator.h"
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// We have an equality : sum by j of row[j]*x[j] = rs
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// We try to pin a var by pushing the total by using the variable bounds
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// In a loop we drive the partial sum down, denoting the variables of this process by _u.
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@ -30,7 +30,7 @@ namespace lp {
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template <typename C> // C plays a role of a container
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class bound_analyzer_on_row {
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const C& m_row;
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bound_propagator & m_bp;
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lp_bound_propagator & m_bp;
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unsigned m_row_or_term_index;
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int m_column_of_u; // index of an unlimited from above monoid
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// -1 means that such a value is not found, -2 means that at least two of such monoids were found
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@ -44,7 +44,7 @@ public :
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unsigned bj, // basis column for the row
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const numeric_pair<mpq>& rs,
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unsigned row_or_term_index,
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bound_propagator & bp
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lp_bound_propagator & bp
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)
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:
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m_row(it),
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@ -55,8 +55,6 @@ public :
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m_rs(rs)
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{}
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unsigned j;
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void analyze() {
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for (const auto & c : m_row) {
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if ((m_column_of_l == -2) && (m_column_of_u == -2))
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@ -80,86 +78,53 @@ public :
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}
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bool upper_bound_is_available(unsigned j) const {
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switch (m_bp.get_column_type(j))
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{
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case column_type::fixed:
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case column_type::boxed:
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case column_type::upper_bound:
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return true;
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default:
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return false;
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}
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return m_bp.upper_bound_is_available(j);
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}
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bool lower_bound_is_available(unsigned j) const {
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switch (m_bp.get_column_type(j))
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{
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case column_type::fixed:
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case column_type::boxed:
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case column_type::lower_bound:
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return true;
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default:
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return false;
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}
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return m_bp.lower_bound_is_available(j);
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}
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const impq & ub(unsigned j) const {
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impq ub(unsigned j) const {
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lp_assert(upper_bound_is_available(j));
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return m_bp.get_upper_bound(j);
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}
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const impq & lb(unsigned j) const {
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impq lb(unsigned j) const {
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lp_assert(lower_bound_is_available(j));
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return m_bp.get_lower_bound(j);
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}
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mpq u_strict(unsigned j, bool & strict) const {
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const impq u = ub(j);
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strict = !is_zero(u.y);
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return u.x;
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}
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const mpq & monoid_max_no_mult(bool a_is_pos, unsigned j, bool & strict) const {
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if (a_is_pos) {
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strict = !is_zero(ub(j).y);
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return ub(j).x;
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}
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strict = !is_zero(lb(j).y);
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return lb(j).x;
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mpq l_strict(unsigned j, bool & strict) const {
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const impq l = lb(j);
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strict = !is_zero(l.y);
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return l.x;
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}
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mpq monoid_max_no_mult(bool a_is_pos, unsigned j, bool & strict) const {
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return a_is_pos? u_strict(j, strict) : l_strict(j, strict);
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}
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mpq monoid_max(const mpq & a, unsigned j) const {
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if (is_pos(a)) {
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return a * ub(j).x;
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}
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return a * lb(j).x;
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return a * (is_pos(a) ? ub(j).x : lb(j).x);
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}
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mpq monoid_max(const mpq & a, unsigned j, bool & strict) const {
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if (is_pos(a)) {
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strict = !is_zero(ub(j).y);
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return a * ub(j).x;
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}
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strict = !is_zero(lb(j).y);
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return a * lb(j).x;
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return a * (is_pos(a)? u_strict(j, strict) : l_strict(j, strict));
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}
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const mpq & monoid_min_no_mult(bool a_is_pos, unsigned j, bool & strict) const {
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if (!a_is_pos) {
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strict = !is_zero(ub(j).y);
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return ub(j).x;
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}
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strict = !is_zero(lb(j).y);
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return lb(j).x;
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mpq monoid_min_no_mult(bool a_is_pos, unsigned j, bool & strict) const {
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return a_is_pos? l_strict(j, strict) : u_strict(j, strict);
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}
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mpq monoid_min(const mpq & a, unsigned j, bool& strict) const {
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if (is_neg(a)) {
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strict = !is_zero(ub(j).y);
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return a * ub(j).x;
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}
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strict = !is_zero(lb(j).y);
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return a * lb(j).x;
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return a * (is_neg(a)? u_strict(j, strict) : l_strict(j, strict));
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}
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mpq monoid_min(const mpq & a, unsigned j) const {
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if (is_neg(a)) {
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return a * ub(j).x;
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}
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return a * lb(j).x;
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return a * (is_neg(a)? ub(j).x : lb(j).x );
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}
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@ -338,7 +303,7 @@ public :
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unsigned bj, // basis column for the row
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const numeric_pair<mpq>& rs,
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unsigned row_or_term_index,
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bound_propagator & bp
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lp_bound_propagator & bp
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) {
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bound_analyzer_on_row a(row, bj, rs, row_or_term_index, bp);
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a.analyze();
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@ -282,6 +282,7 @@ bool emonomials::is_visited(monomial const& m) const {
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class of equal up-to var_eqs monomials.
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*/
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void emonomials::add(lpvar v, unsigned sz, lpvar const* vs) {
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TRACE("nla_solver", tout << "v = " << v << "\n";);
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unsigned idx = m_monomials.size();
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m_monomials.push_back(monomial(v, sz, vs, idx));
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lpvar last_var = UINT_MAX;
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@ -158,7 +158,7 @@ bool lar_solver::implied_bound_is_correctly_explained(implied_bound const & be,
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void lar_solver::analyze_new_bounds_on_row(
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unsigned row_index,
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bound_propagator & bp) {
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lp_bound_propagator & bp) {
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lp_assert(!use_tableau());
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unsigned j = m_mpq_lar_core_solver.m_r_basis[row_index]; // basis column for the row
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bound_analyzer_on_row<indexed_vector<mpq>>
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@ -173,7 +173,7 @@ void lar_solver::analyze_new_bounds_on_row(
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void lar_solver::analyze_new_bounds_on_row_tableau(
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unsigned row_index,
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bound_propagator & bp ) {
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lp_bound_propagator & bp ) {
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if (A_r().m_rows[row_index].size() > settings().max_row_length_for_bound_propagation)
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return;
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@ -199,7 +199,7 @@ void lar_solver::substitute_basis_var_in_terms_for_row(unsigned i) {
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}
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}
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void lar_solver::calculate_implied_bounds_for_row(unsigned i, bound_propagator & bp) {
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void lar_solver::calculate_implied_bounds_for_row(unsigned i, lp_bound_propagator & bp) {
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if(use_tableau()) {
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analyze_new_bounds_on_row_tableau(i, bp);
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} else {
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@ -219,12 +219,12 @@ unsigned lar_solver::map_term_index_to_column_index(unsigned j) const {
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return m_var_register.external_to_local(j);
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}
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void lar_solver::propagate_bounds_on_a_term(const lar_term& t, bound_propagator & bp, unsigned term_offset) {
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void lar_solver::propagate_bounds_on_a_term(const lar_term& t, lp_bound_propagator & bp, unsigned term_offset) {
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lp_assert(false); // not implemented
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}
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void lar_solver::explain_implied_bound(implied_bound & ib, bound_propagator & bp) {
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void lar_solver::explain_implied_bound(implied_bound & ib, lp_bound_propagator & bp) {
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unsigned i = ib.m_row_or_term_index;
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int bound_sign = ib.m_is_lower_bound? 1: -1;
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int j_sign = (ib.m_coeff_before_j_is_pos ? 1 :-1) * bound_sign;
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@ -252,7 +252,7 @@ bool lar_solver::term_is_used_as_row(unsigned term) const {
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return m_var_register.external_is_used(term);
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}
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void lar_solver::propagate_bounds_on_terms(bound_propagator & bp) {
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void lar_solver::propagate_bounds_on_terms(lp_bound_propagator & bp) {
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for (unsigned i = 0; i < m_terms.size(); i++) {
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if (term_is_used_as_row(i + m_terms_start_index))
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continue; // this term is used a left side of a constraint,
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// goes over touched rows and tries to induce bounds
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void lar_solver::propagate_bounds_for_touched_rows(bound_propagator & bp) {
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void lar_solver::propagate_bounds_for_touched_rows(lp_bound_propagator & bp) {
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if (!use_tableau())
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return; // todo: consider to remove the restriction
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@ -41,7 +41,7 @@ Revision History:
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#include "math/lp/conversion_helper.h"
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#include "math/lp/int_solver.h"
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#include "math/lp/nra_solver.h"
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#include "math/lp/bound_propagator.h"
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#include "math/lp/lp_bound_propagator.h"
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namespace lp {
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@ -264,16 +264,16 @@ public:
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void analyze_new_bounds_on_row(
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unsigned row_index,
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bound_propagator & bp);
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lp_bound_propagator & bp);
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void analyze_new_bounds_on_row_tableau(
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unsigned row_index,
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bound_propagator & bp);
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lp_bound_propagator & bp);
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void substitute_basis_var_in_terms_for_row(unsigned i);
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void calculate_implied_bounds_for_row(unsigned i, bound_propagator & bp);
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void calculate_implied_bounds_for_row(unsigned i, lp_bound_propagator & bp);
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unsigned adjust_column_index_to_term_index(unsigned j) const;
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}
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void propagate_bounds_on_a_term(const lar_term& t, bound_propagator & bp, unsigned term_offset);
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void propagate_bounds_on_a_term(const lar_term& t, lp_bound_propagator & bp, unsigned term_offset);
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void explain_implied_bound(implied_bound & ib, bound_propagator & bp);
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void explain_implied_bound(implied_bound & ib, lp_bound_propagator & bp);
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bool term_is_used_as_row(unsigned term) const;
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void propagate_bounds_on_terms(bound_propagator & bp);
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void propagate_bounds_on_terms(lp_bound_propagator & bp);
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// goes over touched rows and tries to induce bounds
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void propagate_bounds_for_touched_rows(bound_propagator & bp);
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void propagate_bounds_for_touched_rows(lp_bound_propagator & bp);
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lp_status get_status() const;
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@ -3,19 +3,79 @@
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Author: Lev Nachmanson
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*/
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#include "math/lp/lar_solver.h"
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#include "math/lp/nla_solver.h"
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namespace lp {
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bound_propagator::bound_propagator(lar_solver & ls):
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m_lar_solver(ls) {}
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column_type bound_propagator::get_column_type(unsigned j) const {
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lp_bound_propagator::lp_bound_propagator(lar_solver & ls, nla::solver* nla):
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m_lar_solver(ls), m_nla_solver(nla) {}
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column_type lp_bound_propagator::get_column_type(unsigned j) const {
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return m_lar_solver.m_mpq_lar_core_solver.m_column_types()[j];
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}
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const impq & bound_propagator::get_lower_bound(unsigned j) const {
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return m_lar_solver.m_mpq_lar_core_solver.m_r_lower_bounds()[j];
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bool lp_bound_propagator::lower_bound_is_available(unsigned j) const {
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if (lower_bound_is_available_for_column(j))
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return true;
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if (!m_nla_solver->is_monomial_var(j))
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return false;
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return m_nla_solver->monomial_has_lower_bound(j);
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}
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const impq & bound_propagator::get_upper_bound(unsigned j) const {
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return m_lar_solver.m_mpq_lar_core_solver.m_r_upper_bounds()[j];
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bool lp_bound_propagator::upper_bound_is_available_for_column(unsigned j) const {
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switch (get_column_type(j)) {
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case column_type::fixed:
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case column_type::boxed:
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case column_type::upper_bound:
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return true;
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default:
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return false;
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}
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}
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void bound_propagator::try_add_bound(mpq v, unsigned j, bool is_low, bool coeff_before_j_is_pos, unsigned row_or_term_index, bool strict) {
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bool lp_bound_propagator::lower_bound_is_available_for_column(unsigned j) const {
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switch (get_column_type(j)) {
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case column_type::fixed:
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case column_type::boxed:
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case column_type::lower_bound:
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return true;
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default:
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return false;
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}
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}
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bool lp_bound_propagator::upper_bound_is_available(unsigned j) const {
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if (upper_bound_is_available_for_column(j))
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return true;
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if (!m_nla_solver->is_monomial_var(j))
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return false;
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return m_nla_solver->monomial_has_upper_bound(j);
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}
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impq lp_bound_propagator::get_lower_bound(unsigned j) const {
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lp_assert(lower_bound_is_available(j));
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if (lower_bound_is_available_for_column(j)) {
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const impq& l = m_lar_solver.m_mpq_lar_core_solver.m_r_lower_bounds()[j];
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if (!(m_nla_solver && m_nla_solver->is_monomial_var(j)))
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return l;
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if (! m_nla_solver->monomial_has_lower_bound(j))
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return std::max(l, m_nla_solver->get_lower_bound(j));
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}
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return m_nla_solver->get_lower_bound(j);
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}
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impq lp_bound_propagator::get_upper_bound(unsigned j) const {
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lp_assert(upper_bound_is_available(j));
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if (upper_bound_is_available_for_column(j)) {
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const impq& l = m_lar_solver.m_mpq_lar_core_solver.m_r_upper_bounds()[j];
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if (!(m_nla_solver && m_nla_solver->is_monomial_var(j)))
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return l;
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if (! m_nla_solver->monomial_has_upper_bound(j))
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return std::min(l, m_nla_solver->get_upper_bound(j));
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}
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return m_nla_solver->get_upper_bound(j);
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}
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void lp_bound_propagator::try_add_bound(mpq v, unsigned j, bool is_low, bool coeff_before_j_is_pos, unsigned row_or_term_index, bool strict) {
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CTRACE("nla_solver", m_nla_solver && m_nla_solver->is_monomial_var(j), tout << "mon_var = " << j << "\n"; );
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j = m_lar_solver.adjust_column_index_to_term_index(j);
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lconstraint_kind kind = is_low? GE : LE;
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@ -4,19 +4,29 @@
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*/
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#pragma once
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#include "math/lp/lp_settings.h"
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namespace nla {
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// forward definition
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class solver;
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}
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namespace lp {
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class lar_solver;
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class bound_propagator {
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class lp_bound_propagator {
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std::unordered_map<unsigned, unsigned> m_improved_lower_bounds; // these maps map a column index to the corresponding index in ibounds
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std::unordered_map<unsigned, unsigned> m_improved_upper_bounds;
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lar_solver & m_lar_solver;
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nla::solver * m_nla_solver;
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public:
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vector<implied_bound> m_ibounds;
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public:
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bound_propagator(lar_solver & ls);
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lp_bound_propagator(lar_solver & ls, nla::solver * nla);
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column_type get_column_type(unsigned) const;
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const impq & get_lower_bound(unsigned) const;
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const impq & get_upper_bound(unsigned) const;
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bool lower_bound_is_available_for_column(unsigned) const;
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bool upper_bound_is_available_for_column(unsigned) const;
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bool lower_bound_is_available(unsigned) const;
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bool upper_bound_is_available(unsigned) const;
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impq get_lower_bound(unsigned) const;
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impq get_upper_bound(unsigned) const;
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void try_add_bound(mpq v, unsigned j, bool is_low, bool coeff_before_j_is_pos, unsigned row_or_term_index, bool strict);
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virtual bool bound_is_interesting(unsigned vi,
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lp::lconstraint_kind kind,
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@ -1331,6 +1331,21 @@ lbool core::test_check(
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return check(l);
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}
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lp::impq core::get_upper_bound_of_monomial(lpvar j) const {
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||||
SASSERT(false);
|
||||
}
|
||||
|
||||
lp::impq core::get_lower_bound_of_monomial(lpvar j) const {
|
||||
SASSERT(false);
|
||||
}
|
||||
|
||||
bool core::monomial_has_lower_bound(lpvar j) const {
|
||||
SASSERT(false);
|
||||
}
|
||||
|
||||
bool core::monomial_has_upper_bound(lpvar j) const {
|
||||
SASSERT(false);
|
||||
}
|
||||
} // end of nla
|
||||
|
||||
|
||||
|
|
|
@ -96,7 +96,7 @@ public:
|
|||
lp::lar_term subs_terms_to_columns(const lp::lar_term& t) const;
|
||||
bool ineq_holds(const ineq& n) const;
|
||||
bool lemma_holds(const lemma& l) const;
|
||||
|
||||
bool is_monomial_var(lpvar j) const { return m_emons.is_monomial_var(j); }
|
||||
rational val(lpvar j) const { return m_lar_solver.get_column_value_rational(j); }
|
||||
|
||||
rational val(const monomial& m) const { return m_lar_solver.get_column_value_rational(m.var()); }
|
||||
|
@ -338,6 +338,10 @@ public:
|
|||
|
||||
lbool test_check(vector<lemma>& l);
|
||||
lpvar map_to_root(lpvar) const;
|
||||
lp::impq get_upper_bound_of_monomial(lpvar j) const;
|
||||
lp::impq get_lower_bound_of_monomial(lpvar j) const;
|
||||
bool monomial_has_lower_bound(lpvar j) const;
|
||||
bool monomial_has_upper_bound(lpvar j) const;
|
||||
}; // end of core
|
||||
|
||||
struct pp_mon {
|
||||
|
|
|
@ -31,6 +31,10 @@ void solver::add_monomial(lpvar v, unsigned sz, lpvar const* vs) {
|
|||
m_core->add(v, sz, vs);
|
||||
}
|
||||
|
||||
bool solver::is_monomial_var(lpvar v) const {
|
||||
return m_core->is_monomial_var(v);
|
||||
}
|
||||
|
||||
bool solver::need_check() { return true; }
|
||||
|
||||
lbool solver::check(vector<lemma>& l) {
|
||||
|
@ -57,5 +61,21 @@ solver::solver(lp::lar_solver& s) {
|
|||
solver::~solver() {
|
||||
dealloc(m_core);
|
||||
}
|
||||
lp::impq solver::get_upper_bound(lpvar j) const {
|
||||
SASSERT(is_monomial_var(j) && m_core->monomial_has_upper_bound(j));
|
||||
return m_core->get_upper_bound_of_monomial(j);
|
||||
}
|
||||
|
||||
lp::impq solver::get_lower_bound(lpvar j) const {
|
||||
SASSERT(is_monomial_var(j) && m_core->monomial_has_lower_bound(j));
|
||||
return m_core->get_lower_bound_of_monomial(j);
|
||||
}
|
||||
|
||||
bool solver::monomial_has_lower_bound(lpvar j) const {
|
||||
return m_core->monomial_has_lower_bound(j);
|
||||
}
|
||||
bool solver::monomial_has_upper_bound(lpvar j) const {
|
||||
return m_core->monomial_has_upper_bound(j);
|
||||
}
|
||||
|
||||
}
|
||||
|
|
|
@ -32,7 +32,7 @@ namespace nla {
|
|||
class solver {
|
||||
core* m_core;
|
||||
public:
|
||||
void add_monomial(lp::var_index v, unsigned sz, lp::var_index const* vs);
|
||||
void add_monomial(lpvar v, unsigned sz, lpvar const* vs);
|
||||
|
||||
solver(lp::lar_solver& s);
|
||||
~solver();
|
||||
|
@ -42,5 +42,10 @@ public:
|
|||
bool need_check();
|
||||
lbool check(vector<lemma>&);
|
||||
std::ostream& display(std::ostream& out);
|
||||
bool is_monomial_var(lpvar) const;
|
||||
lp::impq get_lower_bound(lpvar j) const;
|
||||
lp::impq get_upper_bound(lpvar j) const;
|
||||
bool monomial_has_lower_bound(lpvar j) const;
|
||||
bool monomial_has_upper_bound(lpvar j) const;
|
||||
};
|
||||
}
|
||||
|
|
|
@ -2321,9 +2321,13 @@ public:
|
|||
return false;
|
||||
}
|
||||
|
||||
struct local_bound_propagator: public lp::bound_propagator {
|
||||
nla::solver* get_nla_solver() {
|
||||
return m_switcher.m_nla ? m_switcher.m_nla->get() : nullptr;
|
||||
}
|
||||
|
||||
struct local_bound_propagator: public lp::lp_bound_propagator {
|
||||
imp & m_imp;
|
||||
local_bound_propagator(imp& i) : bound_propagator(*i.m_solver), m_imp(i) {}
|
||||
local_bound_propagator(imp& i) : lp_bound_propagator(*i.m_solver, i.get_nla_solver()), m_imp(i) {}
|
||||
|
||||
bool bound_is_interesting(unsigned j, lp::lconstraint_kind kind, const rational & v) override {
|
||||
return m_imp.bound_is_interesting(j, kind, v);
|
||||
|
|
Loading…
Reference in a new issue