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nla review (#4321)

* simplify the nla_solver interface

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

* more simplifications

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

* init m_use_nra_model

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

* work on NSB comments

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

* work on NSB comments

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

Co-authored-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Lev Nachmanson 2020-05-13 13:52:42 -07:00 committed by GitHub
parent 16aec328f1
commit 6b28973799
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10 changed files with 71 additions and 118 deletions

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@ -346,10 +346,7 @@ public:
if (some_int_columns)
adjust_term_and_k_for_some_ints_case_gomory();
TRACE("gomory_cut_detail", dump_cut_and_constraints_as_smt_lemma(tout););
lp_assert(lia.current_solution_is_inf_on_cut());
// NSB code review: this is also used in nla_core.
// but it isn't consistent: when theory_lra accesses lar_solver::get_term, the term that is returned uses
// column indices, not terms.
lp_assert(lia.current_solution_is_inf_on_cut()); // checks that indices are columns
TRACE("gomory_cut", print_linear_combination_of_column_indices_only(m_t.coeffs_as_vector(), tout << "gomory cut:"); tout << " <= " << m_k << std::endl;);
return lia_move::cut;
}

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@ -189,7 +189,16 @@ std::ostream& int_solver::display_inf_rows(std::ostream& out) const {
return out;
}
bool int_solver::cut_indices_are_columns() const {
for (const auto & p: m_t) {
if (p.column().index() >= lra.A_r().column_count())
return false;
}
return true;
}
bool int_solver::current_solution_is_inf_on_cut() const {
SASSERT(cut_indices_are_columns());
const auto & x = lrac.m_r_x;
impq v = m_t.apply(x);
mpq sign = m_upper ? one_of_type<mpq>() : -one_of_type<mpq>();

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@ -109,8 +109,8 @@ private:
bool has_upper(unsigned j) const;
unsigned row_of_basic_column(unsigned j) const;
bool non_basic_columns_are_at_bounds() const;
bool cut_indices_are_columns() const;
public:
std::ostream& display_column(std::ostream & out, unsigned j) const;
constraint_index column_upper_bound_constraint(unsigned j) const;

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@ -220,10 +220,11 @@ void basics::negate_strict_sign(new_lemma& lemma, lpvar j) {
// here we use the fact
// xy = 0 -> x = 0 or y = 0
bool basics::basic_lemma_for_mon_zero(const monic& rm, const factorization& f) {
// NSB review: how is the code-path calling this function disabled?
NOT_IMPLEMENTED_YET();
return true;
#if 0
// it seems this code is never exercised
for (auto j : f) {
if (val(j).is_zero())
return false;
}
TRACE("nla_solver", c().trace_print_monic_and_factorization(rm, f, tout););
new_lemma lemma(c(), "xy = 0 -> x = 0 or y = 0");
lemma.explain_fixed(var(rm));
@ -235,7 +236,6 @@ bool basics::basic_lemma_for_mon_zero(const monic& rm, const factorization& f) {
lemma &= rm;
lemma &= f;
return true;
#endif
}
// use basic multiplication properties to create a lemma
@ -285,8 +285,6 @@ bool basics::basic_lemma_for_mon_derived(const monic& rm) {
return true;
if (basic_lemma_for_mon_neutral_derived(rm, factorization))
return true;
if (proportion_lemma_derived(rm, factorization))
return true;
}
}
return false;
@ -375,65 +373,36 @@ void basics::proportion_lemma_model_based(const monic& rm, const factorization&
factor_index++;
}
}
// x != 0 or y = 0 => |xy| >= |y|
bool basics::proportion_lemma_derived(const monic& rm, const factorization& factorization) {
// NSB review: why return false?
return false;
if (c().has_real(factorization))
return false;
rational rmv = abs(var_val(rm));
if (rmv.is_zero()) {
SASSERT(c().has_zero_factor(factorization));
return false;
}
int factor_index = 0;
for (factor f : factorization) {
if (abs(val(f)) > rmv) {
generate_pl(rm, factorization, factor_index);
return true;
}
factor_index++;
}
return false;
}
/**
if there are no zero factors then |m| >= |m[factor_index]|
m := f_1*...*f_n
sign_m*m < 0 or f_j = 0 or \/_{i != j} sign_j*f_j < 0 or sign_m*m >= sign_j*f_j
k is the index of such that |m| < |val(m[k]|
If for all 1 <= j <= n, j != k we have f_j != 0 then |m| >= |f_k|
The lemma looks like
sign_m*m < 0 or \/_{i != k} f_i = 0 or sign_m*m >= sign_k*f_k
NSB review:
- This rule cannot be applied for reals
For example 1/4 = 1/2*1/2 and each factor is bigger than product.
- Stronger rule is possible for integers:
sign_m*m < 0 or f_j = 0 or \/_{i != j} sign_m*m >= sign_i*f_i
*/
void basics::generate_pl_on_mon(const monic& m, unsigned factor_index) {
void basics::generate_pl_on_mon(const monic& m, unsigned k) {
SASSERT(!c().has_real(m));
new_lemma lemma(c(), "generate_pl_on_mon");
unsigned mon_var = m.var();
rational mv = val(mon_var);
SASSERT(abs(mv) < abs(val(m.vars()[k])));
rational sm = rational(nla::rat_sign(mv));
lemma |= ineq(term(sm, mon_var), llc::LT, 0);
for (unsigned fi = 0; fi < m.size(); fi ++) {
lpvar j = m.vars()[fi];
if (fi != factor_index) {
if (fi != k) {
lemma |= ineq(j, llc::EQ, 0);
} else {
rational jv = val(j);
rational sj = rational(nla::rat_sign(jv));
// NSB review: what is the justification for this assert: SASSERT(sm*mv < sj*jv);
// NSB review: removed c().mk_ineq(sj, j, llc::LT);
rational sj = rational(nla::rat_sign(val(j)));
lemma |= ineq(term(sm, mon_var, -sj, j), llc::GE, 0);
}
}
lemma &= m;
// lemma &= m; // no need to "explain" monomial m here
}
/**
@ -467,13 +436,11 @@ void basics::generate_pl(const monic& m, const factorization& fc, int factor_ind
lpvar j = var(f);
rational jv = val(j);
rational sj = rational(nla::rat_sign(jv));
// NSB review: removed SASSERT(sm*mv < sj*jv);
// NSB review: removed lemma |= ineq(term(sj, j), llc::LT, 0);
lemma |= ineq(term(sm, mon_var, -sj, j), llc::GE, 0);
}
}
lemma &= fc;
lemma &= m;
lemma &= m;
}
bool basics::is_separated_from_zero(const factorization& f) const {
@ -539,37 +506,10 @@ void basics::basic_lemma_for_mon_model_based(const monic& rm) {
or
- /\_j f_j = val(f_j) => m = sign
*/
// NSB code review: can't we just use basic_lemma_for_mon_neutral_from_factors_to_model_based?
// then the factorization is the same as the monomial.
// then the only difference is to omit adding some explanations.
bool basics::basic_lemma_for_mon_neutral_from_factors_to_monic_model_based_fm(const monic& m) {
lpvar not_one = null_lpvar;
rational sign(1);
TRACE("nla_solver_bl", tout << "m = "; c().print_monic(m, tout););
for (auto j : m.vars()) {
auto v = val(j);
if (v == rational(1)) {
continue;
}
if (v == -rational(1)) {
sign = -sign;
continue;
}
if (not_one == null_lpvar) {
not_one = j;
continue;
}
// if we are here then there are at least two factors with values different from one and minus one: cannot create the lemma
lpvar not_one; rational sign;
if (!can_create_lemma_for_mon_neutral_from_factors_to_monic_model_based(m, m, not_one, sign))
return false;
}
if (not_one != null_lpvar) { // we found the only not_one
if (var_val(m) == val(not_one) * sign) {
TRACE("nla_solver", tout << "the whole equal to the factor" << std::endl;);
return false;
}
}
new_lemma lemma(c(), __FUNCTION__);
for (auto j : m.vars()) {
@ -621,7 +561,8 @@ bool basics::basic_lemma_for_mon_neutral_monic_to_factor_model_based(const monic
lemma |= ineq(term(u, rational(val(u) == -val(mon_var) ? 1 : -1), mon_var), llc::NE, 0);
lemma |= ineq(v, llc::EQ, 1);
lemma |= ineq(v, llc::EQ, -1);
lemma &= rm; // NSB review: is this dependency required?
lemma &= rm; // NSB review: is this dependency required? - it does because it explains how monomial is equivalent
// to the rooted monomial
lemma &= f;
return true;
@ -637,24 +578,11 @@ void basics::basic_lemma_for_mon_neutral_model_based(const monic& rm, const fact
basic_lemma_for_mon_neutral_from_factors_to_monic_model_based(rm, f);
}
}
/**
- m := f1*f2*..
- f_i are factors of m
- at most one variable among f_i evaluates to something else than -1, +1.
- m = sign * f_i
- sign = sign of f_1 * .. * f_{i-1} * f_{i+1} ... = +/- 1
- lemma:
/\_{j != i} f_j = val(f_j) => m = sign * f_i
or
/\ f_j = val(f_j) => m = sign if all factors evaluate to +/- 1
*/
bool basics::basic_lemma_for_mon_neutral_from_factors_to_monic_model_based(const monic& m, const factorization& f) {
rational sign(1);
SASSERT(m.rsign() == canonize_sign(f));
TRACE("nla_solver_bl", tout << pp_mon_with_vars(_(), m) <<"\nf = " << c().pp(f) << "sign = " << sign << '\n';);
lpvar not_one = null_lpvar;
template <typename T>
bool basics::can_create_lemma_for_mon_neutral_from_factors_to_monic_model_based(const monic& m, const T& f, lpvar &not_one, rational& sign) {
sign = rational(1);
// TRACE("nla_solver_bl", tout << pp_mon_with_vars(_(), m) <<"\nf = " << c().pp(f) << "sign = " << sign << '\n';);
not_one = null_lpvar;
for (auto j : f) {
TRACE("nla_solver_bl", tout << "j = "; c().print_factor_with_vars(j, tout););
auto v = val(j);
@ -685,6 +613,25 @@ bool basics::basic_lemma_for_mon_neutral_from_factors_to_monic_model_based(const
return false;
}
return true;
}
/**
- m := f1*f2*..
- f_i are factors of m
- at most one variable among f_i evaluates to something else than -1, +1.
- m = sign * f_i
- sign = sign of f_1 * .. * f_{i-1} * f_{i+1} ... = +/- 1
- lemma:
/\_{j != i} f_j = val(f_j) => m = sign * f_i
or
/\ f_j = val(f_j) => m = sign if all factors evaluate to +/- 1
*/
bool basics::basic_lemma_for_mon_neutral_from_factors_to_monic_model_based(const monic& m, const factorization& f) {
lpvar not_one; rational sign;
if (!can_create_lemma_for_mon_neutral_from_factors_to_monic_model_based(m, f, not_one, sign))
return false;
TRACE("nla_solver_bl", tout << "not_one = " << not_one << "\n";);
new_lemma lemma(c(), __FUNCTION__);

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@ -48,6 +48,10 @@ struct basics: common {
// bool basic_lemma_for_mon_neutral_monic_to_factor_model_based_fm(const monic& m);
bool basic_lemma_for_mon_neutral_monic_to_factor_derived(const monic& rm, const factorization& f);
// use the fact
// 1 * 1 ... * 1 * x * 1 ... * 1 = x
template <typename T>
bool can_create_lemma_for_mon_neutral_from_factors_to_monic_model_based(const monic& rm, const T&, lpvar&, rational&);
// use the fact
// 1 * 1 ... * 1 * x * 1 ... * 1 = x
bool basic_lemma_for_mon_neutral_from_factors_to_monic_model_based(const monic& rm, const factorization& f);
@ -83,8 +87,6 @@ struct basics: common {
void negate_strict_sign(new_lemma& lemma, lpvar j);
// x != 0 or y = 0 => |xy| >= |y|
void proportion_lemma_model_based(const monic& rm, const factorization& factorization);
// x != 0 or y = 0 => |xy| >= |y|
bool proportion_lemma_derived(const monic& rm, const factorization& factorization);
// if there are no zero factors then |m| >= |m[factor_index]|
void generate_pl_on_mon(const monic& m, unsigned factor_index);

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@ -49,6 +49,9 @@ struct common {
rational var_val(monic const& m) const; // value obtained from variable representing monomial
rational mul_val(monic const& m) const; // value obtained from multiplying variables of monomial
template <typename T> lpvar var(T const& t) const;
// this needed in can_create_lemma_for_mon_neutral_from_factors_to_monic_model_based when iterating
// over a monic
lpvar var(lpvar j) const { return j; }
bool done() const;
template <typename T> bool canonize_sign(const T&) const;

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@ -1476,21 +1476,16 @@ lbool core::check(vector<lemma>& l_vec) {
patch_monomials_with_real_vars();
if (m_to_refine.is_empty()) { return l_true; }
init_search();
set_use_nra_model(false);
if (need_to_call_algebraic_methods() && m_horner.horner_lemmas())
goto finish_up;
if (!done()) {
clear_and_resize_active_var_set(); // NSB code review: why is this independent of whether Grobner is run?
if (m_nla_settings.run_grobner()) {
if (need_to_call_algebraic_methods()) {
if (!m_horner.horner_lemmas() && m_nla_settings.run_grobner() && !done()) {
clear_and_resize_active_var_set();
find_nl_cluster();
run_grobner();
run_grobner();
}
}
TRACE("nla_solver_details", print_terms(tout); tout << m_lar_solver.constraints(););
if (!done())
m_basics.basic_lemma(true);
@ -1511,6 +1506,7 @@ lbool core::check(vector<lemma>& l_vec) {
m_tangents.tangent_lemma();
}
if (!m_reslim.inc())
return l_undef;

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@ -404,7 +404,6 @@ public:
bool rm_check(const monic&) const;
std::unordered_map<unsigned, unsigned_vector> get_rm_by_arity();
// NSB code review: these could be methods on new_lemma
void add_abs_bound(new_lemma& lemma, lpvar v, llc cmp);
void add_abs_bound(new_lemma& lemma, lpvar v, llc cmp, rational const& bound);
void negate_relation(new_lemma& lemma, unsigned j, const rational& a);

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@ -28,7 +28,6 @@ bool solver::is_monic_var(lpvar v) const {
bool solver::need_check() { return true; }
lbool solver::check(vector<lemma>& l) {
return m_core->check(l);
}

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@ -2158,6 +2158,7 @@ public:
}
lbool check_nla_continue() {
m_a1 = nullptr; m_a2 = nullptr;
lbool r = m_nla->check(m_nla_lemma_vector);
if (use_nra_model()) m_stats.m_nra_calls ++;