mirror of
https://github.com/Z3Prover/z3
synced 2025-06-29 01:18:45 +00:00
work on horner
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
parent
c040a0b9a5
commit
e3a8522885
4 changed files with 76 additions and 80 deletions
|
@ -24,7 +24,7 @@
|
||||||
namespace nla {
|
namespace nla {
|
||||||
typedef nla_expr<rational> nex;
|
typedef nla_expr<rational> nex;
|
||||||
typedef intervals::interval interv;
|
typedef intervals::interval interv;
|
||||||
horner::horner(core * c) : common(c), m_intervals(c->reslim()) {}
|
horner::horner(core * c) : common(c), m_intervals(c, c->reslim()) {}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
bool horner::row_is_interesting(const T& row) const {
|
bool horner::row_is_interesting(const T& row) const {
|
||||||
|
@ -209,7 +209,9 @@ template <typename T> nex horner::create_expr_from_row(const T& row) {
|
||||||
return nex::mul(p.coeff(), nexvar(p.var()));
|
return nex::mul(p.coeff(), nexvar(p.var()));
|
||||||
}
|
}
|
||||||
SASSERT(false);
|
SASSERT(false);
|
||||||
|
return e;
|
||||||
}
|
}
|
||||||
|
|
||||||
intervals::interval horner::interval_of_expr(const nex& e) {
|
intervals::interval horner::interval_of_expr(const nex& e) {
|
||||||
interv a;
|
interv a;
|
||||||
switch (e.type()) {
|
switch (e.type()) {
|
||||||
|
@ -222,37 +224,47 @@ intervals::interval horner::interval_of_expr(const nex& e) {
|
||||||
case expr_type::MUL:
|
case expr_type::MUL:
|
||||||
return interval_of_mul(e.children());
|
return interval_of_mul(e.children());
|
||||||
case expr_type::VAR:
|
case expr_type::VAR:
|
||||||
return interval_of_var(e.var());
|
set_var_interval(e.var(), a);
|
||||||
|
return a;
|
||||||
default:
|
default:
|
||||||
TRACE("nla_cn", tout << e.type() << "\n";);
|
TRACE("nla_cn", tout << e.type() << "\n";);
|
||||||
SASSERT(false);
|
SASSERT(false);
|
||||||
return e;
|
return interv();
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
template <typename T>
|
||||||
|
interv horner::interval_of_mul(const vector<nla_expr<T>>& es) {
|
||||||
|
interv a = interval_of_expr(es[0]);
|
||||||
|
for (unsigned k = 1; k < es.size(); k++) {
|
||||||
|
interv b = interval_of_expr(es[k]);
|
||||||
|
if (m_intervals.is_zero(b)) {
|
||||||
|
return b;
|
||||||
|
}
|
||||||
|
interv c;
|
||||||
|
interval_deps deps;
|
||||||
|
m_intervals.mul(a, b, c, deps);
|
||||||
|
m_intervals.set(a, c);
|
||||||
|
m_intervals.add_deps(a, b, deps, a);
|
||||||
|
if (m_intervals.is_zero(a))
|
||||||
|
return a;
|
||||||
|
}
|
||||||
|
return a;
|
||||||
|
}
|
||||||
|
|
||||||
|
template <typename T>
|
||||||
|
interv horner::interval_of_sum(const vector<nla_expr<T>>& es) {
|
||||||
|
interv a = interval_of_expr(es[0]);
|
||||||
|
for (unsigned k = 1; k < es.size(); k++) {
|
||||||
|
interv b = interval_of_expr(es[k]);
|
||||||
|
interv c;
|
||||||
|
m_intervals.add(a, b, c);
|
||||||
|
m_intervals.set(a, c);
|
||||||
|
}
|
||||||
|
return a;
|
||||||
|
}
|
||||||
|
// sets the dependencies also
|
||||||
void horner::set_var_interval(lpvar v, interv& b) {
|
void horner::set_var_interval(lpvar v, interv& b) {
|
||||||
const auto& ls = c().m_lar_solver;
|
m_intervals.set_var_interval_with_deps(v, b);
|
||||||
lp::constraint_index ci;
|
|
||||||
rational val;
|
|
||||||
bool is_strict;
|
|
||||||
if (ls.has_lower_bound(v, ci, val, is_strict)) {
|
|
||||||
m_intervals.set_lower(b, val);
|
|
||||||
m_intervals.set_lower_is_open(b, is_strict);
|
|
||||||
m_intervals.set_lower_is_inf(b, false);
|
|
||||||
}
|
|
||||||
else {
|
|
||||||
m_intervals.set_lower_is_open(b, true);
|
|
||||||
m_intervals.set_lower_is_inf(b, true);
|
|
||||||
}
|
|
||||||
if (ls.has_upper_bound(v, ci, val, is_strict)) {
|
|
||||||
m_intervals.set_upper(b, val);
|
|
||||||
m_intervals.set_upper_is_open(b, is_strict);
|
|
||||||
m_intervals.set_upper_is_inf(b, false);
|
|
||||||
}
|
|
||||||
else {
|
|
||||||
m_intervals.set_upper_is_open(b, true);
|
|
||||||
m_intervals.set_upper_is_inf(b, true);
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
|
|
||||||
void horner::check_interval_for_conflict(const intervals::interval&) {
|
void horner::check_interval_for_conflict(const intervals::interval&) {
|
||||||
|
|
|
@ -47,5 +47,9 @@ public:
|
||||||
unsigned random_most_occured_var(std::unordered_map<lpvar, unsigned>& occurences);
|
unsigned random_most_occured_var(std::unordered_map<lpvar, unsigned>& occurences);
|
||||||
nla_expr<rational> split_with_var(const nla_expr<rational> &, lpvar);
|
nla_expr<rational> split_with_var(const nla_expr<rational> &, lpvar);
|
||||||
void set_var_interval(lpvar j, intervals::interval&);
|
void set_var_interval(lpvar j, intervals::interval&);
|
||||||
|
template <typename T>
|
||||||
|
intervals::interval interval_of_sum(const vector<nla_expr<T>>&);
|
||||||
|
template <typename T>
|
||||||
|
intervals::interval interval_of_mul(const vector<nla_expr<T>>&);
|
||||||
}; // end of horner
|
}; // end of horner
|
||||||
}
|
}
|
||||||
|
|
|
@ -45,13 +45,13 @@ void intervals::set_var_interval_signs(lpvar v, interval& b) const {
|
||||||
m_config.set_upper_is_inf(b, true);
|
m_config.set_upper_is_inf(b, true);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
*/
|
||||||
void intervals::set_var_interval_signs_with_deps(lpvar v, interval& b) const {
|
void intervals::set_var_interval_with_deps(lpvar v, interval& b) {
|
||||||
lp::constraint_index ci;
|
lp::constraint_index ci;
|
||||||
rational val;
|
rational val;
|
||||||
bool is_strict;
|
bool is_strict;
|
||||||
if (ls().has_lower_bound(v, ci, val, is_strict)) {
|
if (ls().has_lower_bound(v, ci, val, is_strict)) {
|
||||||
m_config.set_lower(b, sign(val));
|
m_config.set_lower(b, val);
|
||||||
m_config.set_lower_is_open(b, is_strict);
|
m_config.set_lower_is_open(b, is_strict);
|
||||||
m_config.set_lower_is_inf(b, false);
|
m_config.set_lower_is_inf(b, false);
|
||||||
b.m_lower_dep = mk_dep(ci);
|
b.m_lower_dep = mk_dep(ci);
|
||||||
|
@ -62,7 +62,7 @@ void intervals::set_var_interval_signs_with_deps(lpvar v, interval& b) const {
|
||||||
b.m_lower_dep = nullptr;
|
b.m_lower_dep = nullptr;
|
||||||
}
|
}
|
||||||
if (ls().has_upper_bound(v, ci, val, is_strict)) {
|
if (ls().has_upper_bound(v, ci, val, is_strict)) {
|
||||||
m_config.set_upper(b, sign(val));
|
m_config.set_upper(b, val);
|
||||||
m_config.set_upper_is_open(b, is_strict);
|
m_config.set_upper_is_open(b, is_strict);
|
||||||
m_config.set_upper_is_inf(b, false);
|
m_config.set_upper_is_inf(b, false);
|
||||||
b.m_upper_dep = mk_dep(ci);
|
b.m_upper_dep = mk_dep(ci);
|
||||||
|
@ -78,7 +78,7 @@ intervals::ci_dependency *intervals::mk_dep(lp::constraint_index ci) const {
|
||||||
return m_dep_manager.mk_leaf(ci);
|
return m_dep_manager.mk_leaf(ci);
|
||||||
}
|
}
|
||||||
|
|
||||||
*/
|
|
||||||
std::ostream& intervals::display(std::ostream& out, const interval& i) const {
|
std::ostream& intervals::display(std::ostream& out, const interval& i) const {
|
||||||
if (m_imanager.lower_is_inf(i)) {
|
if (m_imanager.lower_is_inf(i)) {
|
||||||
out << "(-oo";
|
out << "(-oo";
|
||||||
|
@ -94,46 +94,18 @@ std::ostream& intervals::display(std::ostream& out, const interval& i) const {
|
||||||
return out;
|
return out;
|
||||||
}
|
}
|
||||||
|
|
||||||
/*
|
lp::lar_solver& intervals::ls() { return m_core->m_lar_solver; }
|
||||||
intervals::interval intervals::mul(const svector<lpvar>& vars) const {
|
|
||||||
interval a;
|
|
||||||
m_imanager.set(a, mpq(1));
|
|
||||||
|
|
||||||
for (lpvar j : vars) {
|
const lp::lar_solver& intervals::ls() const { return m_core->m_lar_solver; }
|
||||||
interval b, c;
|
|
||||||
set_var_interval(j, b);
|
std::ostream& intervals::print_explanations(const svector<lp::constraint_index> &expl , std::ostream& out) const {
|
||||||
if (m_imanager.is_zero(b)) {
|
out << "interv expl:\n ";
|
||||||
return b;
|
for (auto ci : expl)
|
||||||
}
|
m_core->m_lar_solver.print_constraint_indices_only(ci, out);
|
||||||
m_imanager.mul(a, b, c);
|
return out;
|
||||||
m_imanager.set(a, c);
|
|
||||||
}
|
|
||||||
return a;
|
|
||||||
}
|
}
|
||||||
|
|
||||||
intervals::interval intervals::mul_signs(const svector<lpvar>& vars) const {
|
} // end of nla namespace
|
||||||
interval a;
|
|
||||||
m_imanager.set(a, mpq(1));
|
|
||||||
|
|
||||||
for (lpvar j : vars) {
|
|
||||||
interval b, c;
|
|
||||||
set_var_interval_signs(j, b);
|
|
||||||
if (m_imanager.is_zero(b)) {
|
|
||||||
return b;
|
|
||||||
}
|
|
||||||
m_imanager.mul(a, b, c);
|
|
||||||
m_imanager.set(a, c);
|
|
||||||
}
|
|
||||||
return a;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool intervals::product_has_upper_bound(int sign, const svector<lpvar>& vars) const {
|
|
||||||
interval a = mul_signs(vars);
|
|
||||||
SASSERT(sign == 1 || sign == -1);
|
|
||||||
return sign == 1 ? !m_imanager.upper_is_inf(a) : !m_imanager.lower_is_inf(a);
|
|
||||||
}
|
|
||||||
*/
|
|
||||||
}
|
|
||||||
|
|
||||||
// instantiate the template
|
// instantiate the template
|
||||||
template class interval_manager<nla::intervals::im_config>;
|
template class interval_manager<nla::intervals::im_config>;
|
||||||
|
|
|
@ -20,12 +20,15 @@
|
||||||
#pragma once
|
#pragma once
|
||||||
#include "util/dependency.h"
|
#include "util/dependency.h"
|
||||||
#include "util/small_object_allocator.h"
|
#include "util/small_object_allocator.h"
|
||||||
|
#include "math/lp/nla_common.h"
|
||||||
|
#include "math/lp/lar_solver.h"
|
||||||
#include "math/interval/interval.h"
|
#include "math/interval/interval.h"
|
||||||
|
|
||||||
|
|
||||||
namespace nla {
|
namespace nla {
|
||||||
|
class core;
|
||||||
|
|
||||||
class intervals {
|
class intervals : common {
|
||||||
class ci_value_manager {
|
class ci_value_manager {
|
||||||
public:
|
public:
|
||||||
void inc_ref(lp::constraint_index const & v) {
|
void inc_ref(lp::constraint_index const & v) {
|
||||||
|
@ -86,8 +89,8 @@ class intervals {
|
||||||
|
|
||||||
// Getters
|
// Getters
|
||||||
mpq const & lower(interval const & a) const { return a.m_lower; }
|
mpq const & lower(interval const & a) const { return a.m_lower; }
|
||||||
mpq & lower(interval & a) { return a.m_lower; }
|
|
||||||
mpq const & upper(interval const & a) const { return a.m_upper; }
|
mpq const & upper(interval const & a) const { return a.m_upper; }
|
||||||
|
mpq & lower(interval & a) { return a.m_lower; }
|
||||||
mpq & upper(interval & a) { return a.m_upper; }
|
mpq & upper(interval & a) { return a.m_upper; }
|
||||||
bool lower_is_open(interval const & a) const { return a.m_lower_open; }
|
bool lower_is_open(interval const & a) const { return a.m_lower_open; }
|
||||||
bool upper_is_open(interval const & a) const { return a.m_upper_open; }
|
bool upper_is_open(interval const & a) const { return a.m_upper_open; }
|
||||||
|
@ -145,24 +148,21 @@ private:
|
||||||
|
|
||||||
void set_var_interval_signs(lpvar v, interval & b) const;
|
void set_var_interval_signs(lpvar v, interval & b) const;
|
||||||
|
|
||||||
void set_var_interval_signs_with_deps(lpvar v, interval & b) const;
|
void set_var_interval_deps(lpvar v, interval & b) const;
|
||||||
|
|
||||||
ci_dependency* mk_dep(lp::constraint_index ci) const;
|
ci_dependency* mk_dep(lp::constraint_index ci) const;
|
||||||
|
|
||||||
|
lp::lar_solver& ls();
|
||||||
|
const lp::lar_solver& ls() const;
|
||||||
public:
|
public:
|
||||||
intervals(reslimit& lim) :
|
intervals(core* c, reslimit& lim) :
|
||||||
|
common(c),
|
||||||
m_alloc("intervals"),
|
m_alloc("intervals"),
|
||||||
m_dep_manager(m_val_manager, m_alloc),
|
m_dep_manager(m_val_manager, m_alloc),
|
||||||
m_config(m_num_manager, m_dep_manager),
|
m_config(m_num_manager, m_dep_manager),
|
||||||
m_imanager(lim, im_config(m_num_manager, m_dep_manager))
|
m_imanager(lim, im_config(m_num_manager, m_dep_manager))
|
||||||
{}
|
{}
|
||||||
bool monomial_has_lower_bound(lpvar j) const;
|
|
||||||
bool monomial_has_upper_bound(lpvar j) const;
|
|
||||||
bool product_has_upper_bound(int sign, const svector<lpvar>&) const;
|
|
||||||
lp::impq get_upper_bound_of_monomial(lpvar j) const;
|
|
||||||
lp::impq get_lower_bound_of_monomial(lpvar j) const;
|
|
||||||
interval mul(const svector<lpvar>&) const;
|
interval mul(const svector<lpvar>&) const;
|
||||||
|
|
||||||
interval mul_signs(const svector<lpvar>&) const;
|
interval mul_signs(const svector<lpvar>&) const;
|
||||||
interval mul_signs_with_deps(const svector<lpvar>&) const;
|
interval mul_signs_with_deps(const svector<lpvar>&) const;
|
||||||
void get_explanation_of_upper_bound_for_monomial(lpvar j, svector<lp::constraint_index>& expl) const;
|
void get_explanation_of_upper_bound_for_monomial(lpvar j, svector<lp::constraint_index>& expl) const;
|
||||||
|
@ -175,6 +175,14 @@ public:
|
||||||
void set_lower_is_inf(interval & a, bool inf) { m_config.set_lower_is_inf(a, inf); }
|
void set_lower_is_inf(interval & a, bool inf) { m_config.set_lower_is_inf(a, inf); }
|
||||||
void set_upper_is_open(interval & a, bool strict) { m_config.set_upper_is_open(a, strict); }
|
void set_upper_is_open(interval & a, bool strict) { m_config.set_upper_is_open(a, strict); }
|
||||||
void set_upper_is_inf(interval & a, bool inf) { m_config.set_upper_is_inf(a, inf); }
|
void set_upper_is_inf(interval & a, bool inf) { m_config.set_upper_is_inf(a, inf); }
|
||||||
};
|
bool is_zero(const interval& a) const { return m_config.is_zero(a); }
|
||||||
|
void mul(const interval& a, const interval& b, interval& c) { m_imanager.mul(a, b, c); }
|
||||||
|
void add(const interval& a, const interval& b, interval& c) { m_imanager.add(a, b, c); }
|
||||||
|
void set(interval& a, const interval& b) { m_imanager.set(a, b); }
|
||||||
|
void mul(const interval& a, const interval& b, interval& c, interval_deps& deps) { m_imanager.mul(a, b, c, deps); }
|
||||||
|
void add_deps(interval const& a, interval const& b, interval_deps const& deps, interval& i) const {
|
||||||
|
m_config.add_deps(a, b, deps, i);
|
||||||
|
}
|
||||||
|
void set_var_interval_with_deps(lpvar, interval &);
|
||||||
|
}; // end of intervals
|
||||||
} // end of namespace nla
|
} // end of namespace nla
|
||||||
|
|
Loading…
Add table
Add a link
Reference in a new issue