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work on horner

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
Lev Nachmanson 2019-07-02 10:37:41 -07:00
parent c040a0b9a5
commit e3a8522885
4 changed files with 76 additions and 80 deletions

View file

@ -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&) {

View file

@ -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
} }

View file

@ -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; const lp::lar_solver& intervals::ls() const { return m_core->m_lar_solver; }
m_imanager.set(a, mpq(1));
std::ostream& intervals::print_explanations(const svector<lp::constraint_index> &expl , std::ostream& out) const {
for (lpvar j : vars) { out << "interv expl:\n ";
interval b, c; for (auto ci : expl)
set_var_interval(j, b); m_core->m_lar_solver.print_constraint_indices_only(ci, out);
if (m_imanager.is_zero(b)) { return out;
return b;
}
m_imanager.mul(a, b, c);
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>;

View file

@ -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