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testing qe_arith

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2013-09-12 15:27:09 -07:00
parent 1741671a9c
commit 8ab04fb05b
3 changed files with 107 additions and 16 deletions
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53
src/qe/qe_arith.cpp
View file

@ -67,7 +67,7 @@ namespace qe {
ts.push_back(a.mk_numeral(mul*mul1, m.get_sort(t)));
}
else if ((*m_var)(t)) {
IF_VERBOSE(1, verbose_stream() << mk_pp(t, m) << "\n";);
IF_VERBOSE(1, verbose_stream() << "can't project:" << mk_pp(t, m) << "\n";);
throw cant_project();
}
else if (mul.is_one()) {
@ -111,6 +111,7 @@ namespace qe {
is_strict = false;
}
else {
IF_VERBOSE(1, verbose_stream() << "can't project:" << mk_pp(lit, m) << "\n";);
throw cant_project();
}
if (ts.empty()) {
@ -125,6 +126,9 @@ namespace qe {
void project(model& model, expr_ref_vector& lits) {
unsigned num_pos = 0;
unsigned num_neg = 0;
m_ineq_terms.reset();
m_ineq_coeffs.reset();
m_ineq_strict.reset();
expr_ref_vector new_lits(m);
for (unsigned i = 0; i < lits.size(); ++i) {
rational c(0);
@ -134,12 +138,16 @@ namespace qe {
m_ineq_coeffs.push_back(c);
m_ineq_terms.push_back(t);
m_ineq_strict.push_back(is_strict);
if (c.is_pos()) {
if (c.is_zero()) {
m_rw(lits[i].get(), t);
new_lits.push_back(t);
}
else if (c.is_pos()) {
++num_pos;
}
else {
++num_neg;
}
}
}
else {
new_lits.push_back(lits[i].get());
@ -208,14 +216,15 @@ namespace qe {
expr_ref as = mk_mul(abs(ac), s);
expr_ref ts = mk_add(bt, as);
expr* z = a.mk_numeral(rational(0), m.get_sort(t));
expr_ref result(m);
expr_ref result1(m), result2(m);
if (m_ineq_strict[i] || m_ineq_strict[j]) {
result = a.mk_lt(ts, z);
result1 = a.mk_lt(ts, z);
}
else {
result = a.mk_le(ts, z);
result1 = a.mk_le(ts, z);
}
return result;
m_rw(result1, result2);
return result2;
}
// ax + t <= 0
@ -232,12 +241,15 @@ namespace qe {
expr* s = m_ineq_terms[j].get();
expr_ref bt = mk_mul(abs(bc), t);
expr_ref as = mk_mul(abs(ac), s);
expr_ref result1(m), result2(m);
if (m_ineq_strict[j] && !m_ineq_strict[i]) {
return expr_ref(a.mk_lt(bt, as), m);
result1 = a.mk_lt(bt, as);
}
else {
return expr_ref(a.mk_le(bt, as), m);
result1 = a.mk_le(bt, as);
}
m_rw(result1, result2);
return result2;
}
@ -257,20 +269,23 @@ namespace qe {
app_ref_vector new_vars(m);
expr_ref_vector result(lits);
for (unsigned i = 0; i < vars.size(); ++i) {
m_var = alloc(contains_app, m, vars[i].get());
app* v = vars[i].get();
m_var = alloc(contains_app, m, v);
try {
project(model, result);
TRACE("qe", tout << "projected: " << mk_pp(v, m) << " ";
for (unsigned i = 0; i < result.size(); ++i) {
tout << mk_pp(result[i].get(), m) << "\n";
});
}
catch (cant_project) {
new_vars.push_back(vars[i].get());
IF_VERBOSE(1, verbose_stream() << "can't project:" << mk_pp(v, m) << "\n";);
new_vars.push_back(v);
}
}
vars.reset();
vars.append(new_vars);
expr_ref res1(m);
expr_ref tmp = qe::mk_and(result);
m_rw(tmp, res1);
return res1;
return qe::mk_and(result);
}
};
@ -280,4 +295,12 @@ namespace qe {
return ap(model, vars, lits);
}
expr_ref arith_project(model& model, app_ref_vector& vars, expr* fml) {
ast_manager& m = vars.get_manager();
arith_project_util ap(m);
expr_ref_vector lits(m);
qe::flatten_and(fml, lits);
return ap(model, vars, lits);
}
}

2
src/qe/qe_arith.h
View file

@ -11,6 +11,8 @@ namespace qe {
return vector of variables that could not be projected.
*/
expr_ref arith_project(model& model, app_ref_vector& vars, expr_ref_vector const& lits);
expr_ref arith_project(model& model, app_ref_vector& vars, expr* fml);
};
#endif

68
src/test/qe_arith.cpp
View file

@ -1,4 +1,5 @@
#include "qe_arith.h"
#include "qe.h"
#include "th_rewriter.h"
#include "smt2parser.h"
#include "arith_decl_plugin.h"
@ -7,7 +8,7 @@
#include "ast_pp.h"
#include "qe_util.h"
#include "smt_context.h"
#include "expr_abstract.h"
static expr_ref parse_fml(ast_manager& m, char const* str) {
expr_ref result(m);
@ -36,6 +37,15 @@ static char const* example3 = "(and (<= z x) (<= x 3.0) (< (* 3.0 x) y) (<= z y)
static char const* example4 = "(and (<= z x) (<= x 3.0) (not (>= (* 3.0 x) y)) (<= z y))";
static char const* example5 = "(and (<= y x) (<= z x) (<= x u) (<= x v) (<= x t))";
static char const* example6 = "(and (<= 0 (+ x z))\
(>= y x) \
(<= y x)\
(<= (- u y) 0.0)\
(>= x (+ v z))\
(>= x 0.0)\
(<= x 1.0))";
static void test(char const *ex) {
smt_params params;
params.m_model = true;
@ -58,9 +68,65 @@ static void test(char const *ex) {
std::cout << mk_pp(fml, m) << "\n";
std::cout << mk_pp(pr, m) << "\n";
}
static void test2(char const *ex) {
smt_params params;
params.m_model = true;
ast_manager m;
reg_decl_plugins(m);
arith_util a(m);
expr_ref fml = parse_fml(m, ex);
app_ref_vector vars(m);
expr_ref_vector lits(m);
vars.push_back(m.mk_const(symbol("x"), a.mk_real()));
vars.push_back(m.mk_const(symbol("y"), a.mk_real()));
vars.push_back(m.mk_const(symbol("z"), a.mk_real()));
qe::flatten_and(fml, lits);
smt::context ctx(m, params);
ctx.push();
ctx.assert_expr(fml);
lbool result = ctx.check();
SASSERT(result == l_true);
ref<model> md;
ctx.get_model(md);
ctx.pop(1);
std::cout << mk_pp(fml, m) << "\n";
expr_ref pr2(m), fml2(m);
expr_ref_vector bound(m);
ptr_vector<sort> sorts;
svector<symbol> names;
for (unsigned i = 0; i < vars.size(); ++i) {
bound.push_back(vars[i].get());
names.push_back(vars[i]->get_decl()->get_name());
sorts.push_back(m.get_sort(vars[i].get()));
}
expr_abstract(m, 0, 3, bound.c_ptr(), fml, fml2);
fml2 = m.mk_exists(3, sorts.c_ptr(), names.c_ptr(), fml2);
qe::expr_quant_elim qe(m, params);
expr_ref pr1 = qe::arith_project(*md, vars, lits);
qe(m.mk_true(), fml2, pr2);
std::cout << mk_pp(pr1, m) << "\n";
std::cout << mk_pp(pr2, m) << "\n";
expr_ref npr2(m);
npr2 = m.mk_not(pr2);
ctx.push();
ctx.assert_expr(pr1);
ctx.assert_expr(npr2);
VERIFY(l_false == ctx.check());
ctx.pop(1);
}
void tst_qe_arith() {
test2(example6);
return;
test(example1);
test(example2);
test(example3);