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work on horner

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Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
Lev Nachmanson 2019-07-10 16:22:28 -07:00
parent d0ab508619
commit ee4da1affd
5 changed files with 57 additions and 41 deletions
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80
src/math/lp/horner.cpp
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@ -21,7 +21,6 @@
#include "math/lp/horner.h"
#include "math/lp/nla_core.h"
#include "math/lp/lp_utils.h"
namespace nla {
typedef nla_expr<rational> nex;
typedef intervals::interval interv;
@ -39,48 +38,59 @@ bool horner::row_is_interesting(const T& row) const {
}
void horner::lemmas_on_expr(nex& e) {
TRACE("nla_cn", tout << "e = " << e << "\n";);
vector<nex*> front;
front.push_back(&e);
cross_nested_of_expr(e, front);
}
void horner::cross_nested_of_expr(nex& e, vector<nex*> front) {
TRACE("nla_cn", tout << "e = " << e << ", front has " << front.size() << "\n";);
while (!front.empty()) {
nex& c = *front.back();
front.pop_back();
cross_nested_of_expr_on_front_elem(e, c, front);
}
TRACE("nla_cn", tout << "empty front: e=" << "\n";);
nex* pop_back(vector<nex*>& front) {
nex* c = front.back();
front.pop_back();
return c;
}
void horner::cross_nested_of_expr_on_front_elem(nex& e, nex& c, vector<nex*> front) {
TRACE("nla_cn", tout << "e=" << e << "\nc=" << c << "\n";);
SASSERT(c.is_sum());
auto occurences = get_mult_occurences(c);
if (occurences.empty() && front.empty()) {
TRACE("nla_cn", tout << "empty front: e=" << e << "\n";);
auto i = interval_of_expr(e);
m_intervals.check_interval_for_conflict_on_zero(i);
void horner::cross_nested_of_expr(nex& e, vector<nex*>& front) {
TRACE("nla_cn", tout << "e = " << e << ", front:"; print_vector_of_ptrs(front, tout) << "\n";);
while (!front.empty()) {
nex* c = pop_back(front);
cross_nested_of_expr_on_front_elem(e, c, front);
}
}
void horner::cross_nested_of_expr_on_front_elem(nex& e, nex* c, vector<nex*>& front) {
SASSERT(c->is_sum());
vector<lpvar> occurences = get_mult_occurences(*c);
TRACE("nla_cn", tout << "e=" << e << "\nc=" << *c << "\noccurences="; print_vector(occurences, tout) << "\nfront:"; print_vector_of_ptrs(front, tout) << "\n";);
if (occurences.empty()) {
if(front.empty()) {
TRACE("nla_cn", tout << "empty front: e=" << e << "\n";);
auto i = interval_of_expr(e);
m_intervals.check_interval_for_conflict_on_zero(i);
} else {
nex* c = pop_back(front);
cross_nested_of_expr_on_front_elem(e, c, front);
}
} else {
nex copy_of_c = c;
TRACE("nla_cn", tout << "save c=" << *c << "front:"; print_vector_of_ptrs(front, tout) << "\n";);
nex copy_of_c = *c;
for(lpvar j : occurences) {
cross_nested_of_expr_on_sum_and_var(e, c, j, front);
c = copy_of_c;
*c = copy_of_c;
TRACE("nla_cn", tout << "restore c=" << *c << ", e=" << e << "\n";);
}
}
TRACE("nla_cn", tout << "exit\n";);
}
// e is the global expression, c is the sub expressiond which is going to changed from sum to the cross nested form
void horner::cross_nested_of_expr_on_sum_and_var(nex& e, nex& c, lpvar j, vector<nex*> front) {
TRACE("nla_cn", tout << "e=" << e << "\nc=" << c << "\nj = v" << j << "\n";);
split_with_var(c, j, front);
TRACE("nla_cn", tout << "after split c=" << c << "\n";);
void horner::cross_nested_of_expr_on_sum_and_var(nex& e, nex* c, lpvar j, vector<nex*>& front) {
TRACE("nla_cn", tout << "e=" << e << "\nc=" << *c << "\nj = v" << j << "\nfront="; print_vector_of_ptrs(front, tout) << "\n";);
split_with_var(*c, j, front);
TRACE("nla_cn", tout << "after split c=" << *c << "\nfront="; print_vector_of_ptrs(front, tout) << "\n";);
do {
nex& c = *front.back();
front.pop_back();
cross_nested_of_expr_on_front_elem(e, c, front);
nex* n = pop_back(front);
cross_nested_of_expr_on_front_elem(e, n, front);
} while (!front.empty());
}
@ -166,7 +176,7 @@ vector<lpvar> horner::get_mult_occurences(const nex& e) const {
SASSERT(false);
}
}
TRACE("nla_cn",
TRACE("nla_cn_details",
tout << "{";
for(auto p: occurences) {
tout << "(v" << p.first << "->" << p.second << ")";
@ -181,7 +191,7 @@ vector<lpvar> horner::get_mult_occurences(const nex& e) const {
}
void horner::split_with_var(nex& e, lpvar j, vector<nex*> & front) {
TRACE("nla_cn", tout << "e = " << e << ", j = v" << j << "\n";);
TRACE("nla_cn_details", tout << "e = " << e << ", j = v" << j << "\n";);
if (!e.is_sum())
return;
nex a, b;
@ -193,7 +203,7 @@ void horner::split_with_var(nex& e, lpvar j, vector<nex*> & front) {
}
}
a.type() = expr_type::SUM;
TRACE("nla_cn", tout << "a = " << a << "\n";);
TRACE("nla_cn_details", tout << "a = " << a << "\n";);
SASSERT(a.children().size() >= 2);
if (b.children().size() == 1) {
@ -210,20 +220,20 @@ void horner::split_with_var(nex& e, lpvar j, vector<nex*> & front) {
e.add_child(a);
if (a.size() > 1) {
front.push_back(&e.children().back());
TRACE("nla_cn", tout << "push to front " << e.children().back() << "\n";);
TRACE("nla_cn_details", tout << "push to front " << e.children().back() << "\n";);
}
} else {
TRACE("nla_cn", tout << "b = " << b << "\n";);
TRACE("nla_cn_details", tout << "b = " << b << "\n";);
e = nex::sum(nex::mul(nex::var(j), a), b);
if (a.is_sum()) {
front.push_back(&(e.children()[0].children()[1]));
TRACE("nla_cn", tout << "push to front " << e.children()[0].children()[1] << "\n";);
TRACE("nla_cn_details", tout << "push to front " << e.children()[0].children()[1] << "\n";);
}
if (b.is_sum()) {
front.push_back(&(e.children()[1]));
TRACE("nla_cn", tout << "push to front " << e.children()[1] << "\n";);
}
TRACE("nla_cn_details", tout << "push to front " << e.children()[1] << "\n";);
}
}
}