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* introduce int_solver.h

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* add int_solver class

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* track which var is an integer

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add queries for integrality of vars

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* resurrect lp_tst in its own director lp

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add file

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add_constraint has got a body

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* fix add_constraint and substitute_terms_in_linear_expression

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* after merge with Z3Prover

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* adding stub check_int_feasibility()

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* Dev (#50)

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* small fix in lar_solver.cpp

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* adding some content to the new check_int_feasibility()

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* Dev (#51)

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding more nlsat

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* nlsat integration

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding constraints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* add missing initialization

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* test

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* Dev (#53)

* change in a comment

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* Disabled debug output

* removing FOCI2 interface from interp

* remove foci reference from cmakelist.txt

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding more nlsat

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* nlsat integration

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding constraints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* add missing initialization

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* debugging nra

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* updates to nra_solver integration to call it directly from theory_lra instead of over lar_solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* n/a

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* integrate nlsat

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* tidy

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* preserve is_int flag

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* remove a debug printout

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* Dev (#54)

* change in a comment

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* Disabled debug output

* removing FOCI2 interface from interp

* remove foci reference from cmakelist.txt

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* initial skeletons for nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding more nlsat

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* nlsat integration

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding constraints

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* add missing initialization

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* adding nra

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* debugging nra

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* updates to nra_solver integration to call it directly from theory_lra instead of over lar_solver

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* n/a

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* integrate nlsat

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* tidy

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* use integer test from lra solver, updated it to work on term variables

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix equality check in assume-eq

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* fix model_is_int_feasible

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* untested gcd_test()

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* call fill_explanation_from_fixed_columns()

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add the call to pivot_fixed_vars_from_basis() to int_solver.cpp::check()

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* port more of theory_arith_int.h

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* use statistics of lar_solver by theory_lra.cpp

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* port more code to int_solver.cpp

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add an assert

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* more int porting

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* fix a bug in pivot_fixed_vars_from_basis

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* small change

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

* implement find_inf_int_base_column()

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* catch unregistered vars in add_var_bound

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add a file

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* compile for vs2012

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* fix asserts in add_var_bound

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* fix the lp_solver init when workig on an mps file

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* towards int_solver::check()

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* change in int_solver::check() signature

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add handlers for lia moves

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* spacing

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* return branch from int_solver::check()

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* add a stub for mk_gomory_cut

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* Dev (#59)

* add handlers for lia moves

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* spacing

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* Dev (#60)

* add handlers for lia moves

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* spacing

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* Dev (#61)

* add handlers for lia moves

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* spacing

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* more TRACE(arith_int)

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* fix the build

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* Dev (#62)

* add handlers for lia moves

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* spacing

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* loops

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>

* build fix

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2017-07-06 08:53:08 -07:00 committed by Lev Nachmanson
parent a28a8304b7
commit 4c23527974
5 changed files with 291 additions and 57 deletions

View file

@ -101,6 +101,186 @@ int int_solver::find_inf_int_boxed_base_column_with_smallest_range() {
}
bool int_solver::mk_gomory_cut(unsigned row_index, explanation & ex) {
lean_assert(false);
return true;
/*
const auto & row = m_lar_solver->A_r().m_rows[row_index];
// The following assertion is wrong. It may be violated in mixed-integer problems.
// SASSERT(!all_coeff_int(r));
theory_var x_i = r.get_base_var();
SASSERT(is_int(x_i));
// The following assertion is wrong. It may be violated in mixed-real-interger problems.
// The check is_gomory_cut_target will discard rows where any variable contains infinitesimals.
// SASSERT(m_value[x_i].is_rational()); // infinitesimals are not used for integer variables
SASSERT(!m_value[x_i].is_int()); // the base variable is not assigned to an integer value.
if (constrain_free_vars(r) || !is_gomory_cut_target(r)) {
TRACE("gomory_cut", tout << "failed to apply gomory cut:\n";
tout << "constrain_free_vars(r): " << constrain_free_vars(r) << "\n";);
return false;
}
TRACE("gomory_cut", tout << "applying cut at:\n"; display_row_info(tout, r););
antecedents ante(*this);
m_stats.m_gomory_cuts++;
// gomory will be pol >= k
numeral k(1);
buffer<row_entry> pol;
numeral f_0 = Ext::fractional_part(m_value[x_i]);
numeral one_minus_f_0 = numeral(1) - f_0;
SASSERT(!f_0.is_zero());
SASSERT(!one_minus_f_0.is_zero());
numeral lcm_den(1);
unsigned num_ints = 0;
typename vector<row_entry>::const_iterator it = r.begin_entries();
typename vector<row_entry>::const_iterator end = r.end_entries();
for (; it != end; ++it) {
if (!it->is_dead() && it->m_var != x_i) {
theory_var x_j = it->m_var;
numeral a_ij = it->m_coeff;
a_ij.neg(); // make the used format compatible with the format used in: Integrating Simplex with DPLL(T)
if (is_real(x_j)) {
numeral new_a_ij;
if (at_lower(x_j)) {
if (a_ij.is_pos()) {
new_a_ij = a_ij / one_minus_f_0;
}
else {
new_a_ij = a_ij / f_0;
new_a_ij.neg();
}
k.addmul(new_a_ij, lower_bound(x_j).get_rational());
lower(x_j)->push_justification(ante, new_a_ij, coeffs_enabled());
}
else {
SASSERT(at_upper(x_j));
if (a_ij.is_pos()) {
new_a_ij = a_ij / f_0;
new_a_ij.neg(); // the upper terms are inverted.
}
else {
new_a_ij = a_ij / one_minus_f_0;
}
k.addmul(new_a_ij, upper_bound(x_j).get_rational());
upper(x_j)->push_justification(ante, new_a_ij, coeffs_enabled());
}
TRACE("gomory_cut_detail", tout << a_ij << "*v" << x_j << " k: " << k << "\n";);
pol.push_back(row_entry(new_a_ij, x_j));
}
else {
++num_ints;
SASSERT(is_int(x_j));
numeral f_j = Ext::fractional_part(a_ij);
TRACE("gomory_cut_detail",
tout << a_ij << "*v" << x_j << "\n";
tout << "fractional_part: " << Ext::fractional_part(a_ij) << "\n";
tout << "f_j: " << f_j << "\n";
tout << "f_0: " << f_0 << "\n";
tout << "one_minus_f_0: " << one_minus_f_0 << "\n";);
if (!f_j.is_zero()) {
numeral new_a_ij;
if (at_lower(x_j)) {
if (f_j <= one_minus_f_0) {
new_a_ij = f_j / one_minus_f_0;
}
else {
new_a_ij = (numeral(1) - f_j) / f_0;
}
k.addmul(new_a_ij, lower_bound(x_j).get_rational());
lower(x_j)->push_justification(ante, new_a_ij, coeffs_enabled());
}
else {
SASSERT(at_upper(x_j));
if (f_j <= f_0) {
new_a_ij = f_j / f_0;
}
else {
new_a_ij = (numeral(1) - f_j) / one_minus_f_0;
}
new_a_ij.neg(); // the upper terms are inverted
k.addmul(new_a_ij, upper_bound(x_j).get_rational());
upper(x_j)->push_justification(ante, new_a_ij, coeffs_enabled());
}
TRACE("gomory_cut_detail", tout << "new_a_ij: " << new_a_ij << " k: " << k << "\n";);
pol.push_back(row_entry(new_a_ij, x_j));
lcm_den = lcm(lcm_den, denominator(new_a_ij));
}
}
}
}
CTRACE("empty_pol", pol.empty(), display_row_info(tout, r););
expr_ref bound(get_manager());
if (pol.empty()) {
SASSERT(k.is_pos());
// conflict 0 >= k where k is positive
set_conflict(ante, ante, "gomory-cut");
return true;
}
else if (pol.size() == 1) {
theory_var v = pol[0].m_var;
k /= pol[0].m_coeff;
bool is_lower = pol[0].m_coeff.is_pos();
if (is_int(v) && !k.is_int()) {
k = is_lower?ceil(k):floor(k);
}
rational _k = k.to_rational();
if (is_lower)
bound = m_util.mk_ge(get_enode(v)->get_owner(), m_util.mk_numeral(_k, is_int(v)));
else
bound = m_util.mk_le(get_enode(v)->get_owner(), m_util.mk_numeral(_k, is_int(v)));
}
else {
if (num_ints > 0) {
lcm_den = lcm(lcm_den, denominator(k));
TRACE("gomory_cut_detail", tout << "k: " << k << " lcm_den: " << lcm_den << "\n";
for (unsigned i = 0; i < pol.size(); i++) {
tout << pol[i].m_coeff << " " << pol[i].m_var << "\n";
}
tout << "k: " << k << "\n";);
SASSERT(lcm_den.is_pos());
if (!lcm_den.is_one()) {
// normalize coefficients of integer parameters to be integers.
unsigned n = pol.size();
for (unsigned i = 0; i < n; i++) {
pol[i].m_coeff *= lcm_den;
SASSERT(!is_int(pol[i].m_var) || pol[i].m_coeff.is_int());
}
k *= lcm_den;
}
TRACE("gomory_cut_detail", tout << "after *lcm\n";
for (unsigned i = 0; i < pol.size(); i++) {
tout << pol[i].m_coeff << " * v" << pol[i].m_var << "\n";
}
tout << "k: " << k << "\n";);
}
mk_polynomial_ge(pol.size(), pol.c_ptr(), k.to_rational(), bound);
}
TRACE("gomory_cut", tout << "new cut:\n" << bound << "\n"; ante.display(tout););
literal l = null_literal;
context & ctx = get_context();
ctx.internalize(bound, true);
l = ctx.get_literal(bound);
ctx.mark_as_relevant(l);
dump_lemmas(l, ante);
ctx.assign(l, ctx.mk_justification(
gomory_cut_justification(
get_id(), ctx.get_region(),
ante.lits().size(), ante.lits().c_ptr(),
ante.eqs().size(), ante.eqs().c_ptr(), ante, l)));
return true;
*/
}
lia_move int_solver::check(lar_term& t, mpq& k, explanation& ex) {
lean_assert(is_feasible());
init_inf_int_set();
@ -129,32 +309,35 @@ lia_move int_solver::check(lar_term& t, mpq& k, explanation& ex) {
if ((++m_branch_cut_counter) % settings().m_int_branch_cut_threshold == 0) {
move_non_base_vars_to_bounds();
/*
if (!make_feasible()) {
TRACE("arith_int", tout << "failed to move variables to bounds.\n";);
failed();
return FC_CONTINUE;
lp_status st = m_lar_solver->find_feasible_solution();
if (st != lp_status::FEASIBLE && st != lp_status::OPTIMAL) {
return lia_move::give_up;
}
int int_var = find_inf_int_base_var();
if (int_var != null_int) {
TRACE("arith_int", tout << "v" << int_var << " does not have an integer assignment: " << get_value(int_var) << "\n";);
SASSERT(is_base(int_var));
row const & r = m_rows[get_var_row(int_var)];
if (!mk_gomory_cut(r)) {
int j = find_inf_int_base_column();
if (j != -1) {
TRACE("arith_int", tout << "j = " << j << " does not have an integer assignment: " << get_value(j) << "\n";);
unsigned row_index = m_lar_solver->m_mpq_lar_core_solver.m_r_heading[j];
if (!mk_gomory_cut(row_index, ex)) {
return lia_move::give_up;
// silent failure
}
return FC_CONTINUE;
}*/
return lia_move::cut;
}
}
else {
int j = find_inf_int_base_column();
/*
if (j != -1) {
TRACE("arith_int", tout << "v" << j << " does not have an integer assignment: " << get_value(j) << "\n";);
// apply branching
branch_infeasible_int_var(int_var);
return false;
}*/
TRACE("arith_int", tout << "j" << j << " does not have an integer assignment: " << get_value(j) << "\n";);
lean_assert(t.is_empty());
t.add_to_map(j, mpq(1));
k = floor(get_value(j));
TRACE("arith_int", tout << "branching v" << j << " = " << get_value(j) << "\n";
display_column(tout, j);
tout << "k = " << k << std::endl;
);
return lia_move::branch;
}
}
// return true;
return lia_move::give_up;
@ -259,7 +442,6 @@ mpq get_denominators_lcm(iterator_on_row<mpq> &it) {
bool int_solver::gcd_test_for_row(static_matrix<mpq, numeric_pair<mpq>> & A, unsigned i, explanation & ex) {
iterator_on_row<mpq> it(A.m_rows[i]);
std::cout << "gcd_test_for_row(" << i << ")\n";
mpq lcm_den = get_denominators_lcm(it);
mpq consts(0);
mpq gcds(0);
@ -350,8 +532,6 @@ bool int_solver::ext_gcd_test(iterator_on_row<mpq> & it,
mpq const & least_coeff,
mpq const & lcm_den,
mpq const & consts, explanation& ex) {
std::cout << "calling ext_gcd_test" << std::endl;
mpq gcds(0);
mpq l(consts);
mpq u(consts);

View file

@ -96,5 +96,7 @@ private:
int find_inf_int_boxed_base_column_with_smallest_range();
lp_settings& settings();
void move_non_base_vars_to_bounds();
void branch_infeasible_int_var(unsigned);
bool mk_gomory_cut(unsigned row_index, explanation & ex);
};
}

View file

@ -21,6 +21,10 @@ struct lar_term {
}
}
bool is_empty() const {
return m_coeffs.size() == 0 && is_zero(m_v);
}
unsigned size() const { return static_cast<unsigned>(m_coeffs.size()); }
const std::unordered_map<unsigned, mpq> & coeffs() const {