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throttle tangent plane lemmas

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
Lev Nachmanson 2025-06-20 07:25:56 -07:00
parent 740c6945c6
commit 521f6a6543
4 changed files with 69 additions and 12 deletions

View file

@ -84,7 +84,7 @@ void order::order_lemma_on_binomial(const monic& ac) {
void order::order_lemma_on_binomial_sign(const monic& xy, lpvar x, lpvar y, int sign) { void order::order_lemma_on_binomial_sign(const monic& xy, lpvar x, lpvar y, int sign) {
if (!c().var_is_int(x) && val(x).is_big()) if (!c().var_is_int(x) && val(x).is_big())
return; return;
if (throttle_monic(xy)) if (throttle_monic(xy, std::string(__FILE__)+ "," + std::to_string(__LINE__)))
return; return;
SASSERT(!_().mon_has_zero(xy.vars())); SASSERT(!_().mon_has_zero(xy.vars()));
@ -95,14 +95,16 @@ void order::order_lemma_on_binomial_sign(const monic& xy, lpvar x, lpvar y, int
lemma |= ineq(term(xy.var(), - val(x), y), sign == 1 ? llc::LE : llc::GE, 0); lemma |= ineq(term(xy.var(), - val(x), y), sign == 1 ? llc::LE : llc::GE, 0);
} }
bool order::throttle_monic(const monic& ac) { bool order::throttle_monic(const monic& ac, std::string const & debug_location ) {
// Check if this monic has already been processed using its variable ID // Check if this monic has already been processed using its variable ID
if (m_processed_binoms.contains(ac.var())) if (m_processed_monics.contains(ac.var())) {
std::cout << "throttled at " << debug_location << "\n";
return true; return true;
}
// Mark this monic as processed and add to trail for backtracking // Mark this monic as processed and add to trail for backtracking
m_processed_binoms.insert(ac.var()); m_processed_monics.insert(ac.var());
c().trail().push(insert_map(m_processed_binoms, ac.var())); c().trail().push(insert_map(m_processed_monics, ac.var()));
return false; return false;
} }
@ -110,10 +112,7 @@ bool order::throttle_monic(const monic& ac) {
void order::order_lemma_on_factor_binomial_explore(const monic& ac, bool k) { void order::order_lemma_on_factor_binomial_explore(const monic& ac, bool k) {
TRACE(nla_solver, tout << "ac = " << pp_mon_with_vars(c(), ac);); TRACE(nla_solver, tout << "ac = " << pp_mon_with_vars(c(), ac););
SASSERT(ac.size() == 2); SASSERT(ac.size() == 2);
if (throttle_monic(ac))
return;
lpvar c_var = ac.vars()[k]; lpvar c_var = ac.vars()[k];
for (monic const& bd : _().emons().get_products_of(c_var)) { for (monic const& bd : _().emons().get_products_of(c_var)) {
@ -363,6 +362,8 @@ void order::order_lemma_on_ab_gt(new_lemma& lemma, const monic& m, const rationa
lemma b != val(b) || sign*m >= a*val(b) lemma b != val(b) || sign*m >= a*val(b)
*/ */
void order::order_lemma_on_ab_lt(new_lemma& lemma, const monic& m, const rational& sign, lpvar a, lpvar b) { void order::order_lemma_on_ab_lt(new_lemma& lemma, const monic& m, const rational& sign, lpvar a, lpvar b) {
if (throttle_monic(m, std::string(__FILE__)+ "," + std::to_string(__LINE__)))
return;
TRACE(nla_solver, tout << "sign = " << sign << ", m = "; c().print_monic(m, tout) << ", a = "; c().print_var(a, tout) << TRACE(nla_solver, tout << "sign = " << sign << ", m = "; c().print_monic(m, tout) << ", a = "; c().print_var(a, tout) <<
", b = "; c().print_var(b, tout) << "\n";); ", b = "; c().print_var(b, tout) << "\n";);
SASSERT(sign * var_val(m) < val(a) * val(b)); SASSERT(sign * var_val(m) < val(a) * val(b));
@ -373,6 +374,8 @@ void order::order_lemma_on_ab_lt(new_lemma& lemma, const monic& m, const rationa
} }
void order::order_lemma_on_ab(new_lemma& lemma, const monic& m, const rational& sign, lpvar a, lpvar b, bool gt) { void order::order_lemma_on_ab(new_lemma& lemma, const monic& m, const rational& sign, lpvar a, lpvar b, bool gt) {
if (throttle_monic(m, std::string(__FILE__)+ "," + std::to_string(__LINE__)))
return;
if (gt) if (gt)
order_lemma_on_ab_gt(lemma, m, sign, a, b); order_lemma_on_ab_gt(lemma, m, sign, a, b);
else else

View file

@ -20,8 +20,8 @@ public:
order(core *c) : common(c) {} order(core *c) : common(c) {}
void order_lemma(); void order_lemma();
int_hashtable<int_hash, default_eq<int>> m_processed_binoms; int_hashtable<int_hash, default_eq<int>> m_processed_monics;
bool throttle_monic(const monic&); bool throttle_monic(const monic&, const std::string & debug_location);
private: private:
bool order_lemma_on_ac_and_bc_and_factors(const monic& ac, bool order_lemma_on_ac_and_bc_and_factors(const monic& ac,

View file

@ -8,6 +8,8 @@
--*/ --*/
#include "math/lp/nla_tangent_lemmas.h" #include "math/lp/nla_tangent_lemmas.h"
#include "math/lp/nla_core.h" #include "math/lp/nla_core.h"
#include "util/trail.h"
#include <iostream>
namespace nla { namespace nla {
@ -70,6 +72,10 @@ private:
} }
void generate_plane(const point & pl) { void generate_plane(const point & pl) {
// Throttle plane generation based on m_xy.var() and m_below
if (m_tang.throttle_plane(m_j, m_below, std::string(__FILE__) + "," + std::to_string(__LINE__)))
return;
new_lemma lemma(c(), "generate tangent plane"); new_lemma lemma(c(), "generate tangent plane");
c().negate_relation(lemma, m_jx, m_x.rat_sign()*pl.x); c().negate_relation(lemma, m_jx, m_x.rat_sign()*pl.x);
c().negate_relation(lemma, m_jy, m_y.rat_sign()*pl.y); c().negate_relation(lemma, m_jy, m_y.rat_sign()*pl.y);
@ -193,5 +199,20 @@ void tangents::tangent_lemma() {
} }
} }
bool tangents::throttle_plane(unsigned var, bool below, std::string const & debug_location) {
tangent_key key(var, below);
// Check if this (var, below) pair has already been processed
if (m_processed_planes.contains(key)) {
std::cout << "throttled plane at " << debug_location << " for var=" << var << ", below=" << below << "\n";
return true;
}
// Mark this (var, below) pair as processed and add to trail for backtracking
m_processed_planes.insert(key);
c().trail().push(insert_map(m_processed_planes, key));
return false;
}
} }

View file

@ -9,10 +9,37 @@
#include "util/rational.h" #include "util/rational.h"
#include "math/lp/factorization.h" #include "math/lp/factorization.h"
#include "math/lp/nla_common.h" #include "math/lp/nla_common.h"
#include "util/hashtable.h"
#include "util/hash.h"
namespace nla { namespace nla {
class core; class core;
// Key for throttling tangent plane generation: (var, below)
struct tangent_key {
unsigned var;
bool below;
tangent_key(unsigned v, bool b) : var(v), below(b) {}
tangent_key() : var(0), below(false) {}
bool operator==(const tangent_key& other) const {
return var == other.var && below == other.below;
}
};
struct tangent_key_hash {
unsigned operator()(const tangent_key& k) const {
return hash_u(k.var) ^ (k.below ? 1 : 0);
}
};
struct tangent_key_eq {
bool operator()(const tangent_key& a, const tangent_key& b) const {
return a == b;
}
};
struct point { struct point {
rational x; rational x;
rational y; rational y;
@ -41,7 +68,13 @@ inline std::ostream& operator<<(std::ostream& out, point const& a) { return out
struct tangents : common { struct tangents : common {
// Hashtable to throttle tangent plane generation
hashtable<tangent_key, tangent_key_hash, tangent_key_eq> m_processed_planes;
tangents(core *core); tangents(core *core);
void tangent_lemma(); void tangent_lemma();
// Throttling function similar to order::throttle_monic
bool throttle_plane(unsigned var, bool below, std::string const & debug_location);
}; // end of tangents }; // end of tangents
} // end of namespace } // end of namespace