z3-z3-4.13.0.src.test.doc.cpp Maven / Gradle / Ivy
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/*++
Copyright (c) 2015 Microsoft Corporation
--*/
#include "muz/rel/doc.h"
#include "util/trace.h"
#include "util/vector.h"
#include "ast/ast.h"
#include "ast/ast_pp.h"
#include "ast/reg_decl_plugins.h"
#include "util/sorting_network.h"
#include "smt/smt_kernel.h"
#include "model/model_smt2_pp.h"
#include "smt/params/smt_params.h"
#include "ast/ast_util.h"
#include "ast/rewriter/expr_safe_replace.h"
#include "ast/rewriter/th_rewriter.h"
#include
static void tst_doc1(unsigned n) {
doc_manager m(n);
doc_ref d(m, m.allocate());
doc_ref d1(m, m.allocate1());
doc_ref d0(m, m.allocate0());
doc_ref dX(m, m.allocateX());
doc_ref dXc(m, m.allocate(*dX));
doc_ref d10(m, m.allocate(10));
doc_ref d20(m, m.allocate(rational(20)));
m.display(std::cout, *d1) << "\n";
m.display(std::cout, *d0) << "\n";
m.display(std::cout, *dX) << "\n";
m.display(std::cout, *d10) << "\n";
m.display(std::cout, *d20) << "\n";
if (n < 64) {
unsigned hi = 3, lo = 1;
ENSURE(hi <= n);
doc_ref d111X(m, m.allocate(0xFF, hi, lo));
}
m.copy(*d, *d10);
ENSURE(m.equals(*d, *d10));
m.reset(*d);
ENSURE(!m.equals(*d, *d10));
m.fill0(*d10);
ENSURE(m.equals(*d, *d10));
m.fill1(*d);
d10 = m.allocate(10);
ENSURE(!m.equals(*d, *d10));
ENSURE(m.equals(*d, *d1));
m.fillX(*d);
ENSURE(m.equals(*d, *dX));
ENSURE(m.is_full(*dX));
ENSURE(!m.is_full(*d1));
VERIFY(m.set_and(*dX,*dX));
ENSURE(m.equals(*dXc,*dX));
VERIFY(m.set_and(*dX,*d1));
ENSURE(!m.equals(*dXc,*dX));
ENSURE(m.equals(*dX,*d1));
VERIFY(m.fold_neg(*dX));
ptr_vector result;
// VERIFY(!m.intersect(*d1,*d0, result));
// m.subtract(*d1,*d0, result);
ENSURE(result.empty());
dX = m.allocateX();
m.display(std::cout, *d0) << "\n";
m.display(std::cout, *dX) << "\n";
ENSURE(m.contains(*dX,*d1));
ENSURE(m.contains(*dX,*d0));
ENSURE(!m.contains(*d0,*d1));
ENSURE(!m.contains(*d1,*d0));
d1->neg().push_back(m.tbvm().allocate0());
m.display(std::cout, *d1) << " -> ";
VERIFY(m.fold_neg(*d1));
m.display(std::cout, *d1) << "\n";
bit_vector to_delete;
to_delete.resize(n, false);
to_delete.set(1);
to_delete.set(3);
doc_manager m1(n-2);
doc_ref d1_1(m1, m.project(m1, to_delete, *d1));
doc_ref d1_2(m1, m1.allocate1());
m.display(std::cout, *d1) << " -> ";
m1.display(std::cout, *d1_1) << "\n";
ENSURE(m1.equals(*d1_1,*d1_2));
m.set(*d1,2,BIT_x);
m.set(*d1,4,BIT_x);
d1_1 = m.project(m1, to_delete, *d1);
m.display(std::cout, *d1) << " -> ";
m1.display(std::cout, *d1_1) << "\n";
d1->neg().push_back(m.tbvm().allocate1());
ENSURE(m.well_formed(*d1));
d1_1 = m.project(m1, to_delete, *d1);
m.display(std::cout, *d1) << " -> ";
m1.display(std::cout, *d1_1) << "\n";
}
// generate "all" clauses over num_vars
// create XXXX \ clauses
// project 0, 1, 2, 3 variables
// check that result is the same as QE over those clauses.
class test_doc_cls {
random_gen m_ran;
ast_manager m;
doc_manager dm;
expr_ref_vector m_vars;
tbit choose_tbit() {
switch (m_ran(3)) {
case 0: return BIT_0;
case 1: return BIT_1;
default : return BIT_x;
}
}
tbv* mk_rand_tbv() {
tbv* result = dm.tbvm().allocate();
for (unsigned i = 0; i < dm.num_tbits(); ++i) {
dm.tbvm().set(*result, i, choose_tbit());
}
return result;
}
tbv* mk_rand_tbv(tbv const& pos) {
tbv* result = dm.tbvm().allocate();
for (unsigned i = 0; i < dm.num_tbits(); ++i) {
if (pos[i] == BIT_x) {
dm.tbvm().set(*result, i, choose_tbit());
}
else {
dm.tbvm().set(*result, i, pos[i]);
}
}
return result;
}
doc* mk_rand_doc(unsigned num_diff) {
tbv_ref t(dm.tbvm());
t = mk_rand_tbv();
doc* result = dm.allocate(*t);
ENSURE(dm.tbvm().equals(*t, result->pos()));
for (unsigned i = 0; i < num_diff; ++i) {
result->neg().push_back(mk_rand_tbv(result->pos()));
}
ENSURE(dm.well_formed(*result));
return result;
}
void mk_rand_udoc(unsigned num_elems, unsigned num_diff, udoc& result) {
result.reset(dm);
for (unsigned i = 0; i < num_elems; ++i) {
result.push_back(mk_rand_doc(num_diff));
}
}
expr_ref mk_conj(tbv& t) {
expr_ref result(m);
expr_ref_vector conjs(m);
for (unsigned i = 0; i < m_vars.size(); ++i) {
tbit b = choose_tbit();
dm.tbvm().set(t, i, b);
switch (b) {
case BIT_1: conjs.push_back(m_vars[i].get()); break;
case BIT_0: conjs.push_back(m.mk_not(m_vars[i].get())); break;
default: break;
}
}
result = mk_and(m, conjs.size(), conjs.data());
return result;
}
expr_ref to_formula(tbv const& t, doc_manager& m2) {
expr_ref result(m);
expr_ref_vector conjs(m);
unsigned n = m2.num_tbits();
ENSURE(n <= m_vars.size());
for (unsigned i = 0; i < n; ++i) {
switch (t[i]) {
case BIT_x:
break;
case BIT_1:
conjs.push_back(m_vars[i].get());
break;
case BIT_0:
conjs.push_back(m.mk_not(m_vars[i].get()));
break;
default:
UNREACHABLE();
break;
}
}
result = mk_and(m, conjs.size(), conjs.data());
return result;
}
expr_ref to_formula(doc const& d, doc_manager& m2) {
expr_ref result(m);
expr_ref_vector conjs(m);
conjs.push_back(to_formula(d.pos(), m2));
for (unsigned i = 0; i < d.neg().size(); ++i) {
conjs.push_back(m.mk_not(to_formula(d.neg()[i], m2)));
}
result = mk_and(m, conjs.size(), conjs.data());
return result;
}
expr_ref to_formula(udoc const& ud, doc_manager& m2) {
expr_ref result(m);
expr_ref_vector disjs(m);
for (unsigned i = 0; i < ud.size(); ++i) {
disjs.push_back(to_formula(ud[i], m2));
}
result = mk_or(m, disjs.size(), disjs.data());
return result;
}
void project(doc const& d, doc_manager& m2, const bit_vector& to_delete, doc_ref& result) {
result = dm.project(m2, to_delete, d);
TRACE("doc",
for (unsigned i = 0; i < m_vars.size(); ++i) {
tout << (to_delete.get(i)?"0":"1");
}
tout << " ";
dm.display(tout, d) << " -> ";
m2.display(tout, *result) << "\n";
);
}
void test_project(unsigned num_clauses) {
doc_ref d(dm);
d = mk_rand_doc(3);
expr_ref fml1(m), fml2(m), fml3(m), tmp1(m), tmp2(m), fml(m);
fml1 = to_formula(*d, dm);
bit_vector to_delete;
to_delete.reserve(m_vars.size(), false);
unsigned num_bits = 1;
for (unsigned i = 1; i < to_delete.size(); ++i) {
to_delete.set(i, m_ran(2) == 0);
if (!to_delete.get(i)) ++num_bits;
}
doc_manager m2(num_bits);
doc_ref result(m2);
project(*d, m2, to_delete, result);
TRACE("doc",
dm.display(tout, *d) << "\n";
m2.display(tout, *result) << "\n";);
fml2 = to_formula(*result, m2);
project_expand(fml1, to_delete);
project_rename(fml2, to_delete);
check_equiv(fml1, fml2);
}
void project_expand(expr_ref& fml, bit_vector const& to_delete) {
expr_ref tmp1(m), tmp2(m);
for (unsigned i = 0; i < m_vars.size(); ++i) {
if (to_delete.get(i)) {
expr_safe_replace rep1(m), rep2(m);
rep1.insert(m_vars[i].get(), m.mk_true());
rep1(fml, tmp1);
rep2.insert(m_vars[i].get(), m.mk_false());
rep2(fml, tmp2);
if (tmp1 == tmp2) {
fml = tmp1;
}
else {
fml = m.mk_or(tmp1, tmp2);
}
}
}
}
void project_rename(expr_ref& fml, bit_vector const& to_delete) {
expr_safe_replace rep(m);
for (unsigned i = 0, j = 0; i < m_vars.size(); ++i) {
if (!to_delete.get(i)) {
rep.insert(m_vars[j].get(), m_vars[i].get());
++j;
}
}
rep(fml);
}
void test_merge(unsigned num_clauses) {
doc_ref d(dm, dm.allocateX());
expr_ref_vector fmls(m), eqs(m);
unsigned N = m_vars.size();
expr_ref fml1(m), fml2(m), fml3(m), tmp1(m), tmp2(m), fml(m);
for (unsigned i = 0; i < num_clauses; ++i) {
tbv* t = dm.tbvm().allocate();
fmls.push_back(m.mk_not(mk_conj(*t)));
d->neg().push_back(t);
}
fml1 = mk_and(m, fmls.size(), fmls.data());
bool_vector to_merge(N, false);
bit_vector discard_cols;
discard_cols.resize(N, false);
unsigned num_bits = 1;
union_find_default_ctx union_ctx;
subset_ints equalities(union_ctx);
unsigned lo = N;
equalities.mk_var();
for (unsigned i = 1; i < N; ++i) {
to_merge[i] = (m_ran(2) == 0);
if (!to_merge[i]) ++num_bits; else lo = i;
equalities.mk_var();
}
if (lo == N) return;
for (unsigned i = 0; i < N; ++i) {
if (to_merge[i] && i != lo) {
equalities.merge(i, lo);
eqs.push_back(m.mk_eq(m_vars[i].get(), m_vars[lo].get()));
}
}
eqs.push_back(to_formula(*d, dm));
fml1 = mk_and(m, eqs.size(), eqs.data());
if (dm.merge(*d, lo, 1, equalities, discard_cols)) {
fml2 = to_formula(*d, dm);
}
else {
fml2 = m.mk_false();
}
check_equiv(fml1, fml2);
}
void check_equiv(expr_ref& fml1, expr_ref& fml2) {
th_rewriter rw(m);
rw(fml1);
rw(fml2);
smt_params fp;
smt::kernel solver(m, fp);
expr_ref fml(m);
fml = m.mk_not(m.mk_eq(fml1, fml2));
solver.assert_expr(fml);
lbool res = solver.check();
if (res != l_false) {
TRACE("doc",
tout << mk_pp(fml1, m) << "\n";
tout << mk_pp(fml2, m) << "\n";
);
}
ENSURE(res == l_false);
}
public:
test_doc_cls(unsigned num_vars): dm(num_vars), m_vars(m) {
reg_decl_plugins(m);
for (unsigned i = 0; i < num_vars; ++i) {
m_vars.push_back(m.mk_fresh_const("b", m.mk_bool_sort()));
}
}
void test_project(unsigned num_rounds, unsigned num_clauses) {
for (unsigned i = 0; i < num_rounds; ++i) {
test_project(num_clauses);
}
}
void test_merge(unsigned num_rounds, unsigned num_clauses) {
for (unsigned i = 0; i < num_rounds; ++i) {
test_merge(num_clauses);
}
}
void test_project1() {
expr_ref fml1(m), fml2(m);
doc_ref d(dm, dm.allocateX());
tbv_ref t(dm.tbvm(), dm.tbvm().allocateX());
dm.tbvm().set(*t, 0, BIT_0);
d->neg().push_back(t.detach());
unsigned num_bits = dm.num_tbits();
bit_vector to_delete;
to_delete.reserve(num_bits, false);
fml1 = to_formula(*d, dm);
to_delete.set(0, true);
doc_manager m2(num_bits-1);
doc_ref result(m2);
project(*d, m2, to_delete, result);
dm.display(std::cout, *d) << "\n";
m2.display(std::cout, *result) << "\n";
fml2 = to_formula(*result, m2);
project_rename(fml2, to_delete);
project_expand(fml1, to_delete);
std::cout << fml1 << " " << fml2 << "\n";
check_equiv(fml1, fml2);
}
void test_subtract() {
doc_ref d1(dm);
doc_ref d2(dm);
doc_ref d3(dm);
udoc ds1, ds2;
d1 = dm.allocateX();
d2 = dm.allocateX();
d3 = dm.allocateX();
dm.set(*d1, 0, BIT_1);
dm.set(*d1, 1, BIT_0);
dm.set(*d2, 0, BIT_0);
dm.set(*d2, 1, BIT_1);
//ds1.push_back(d1.detach());
ds1.push_back(d2.detach());
// ds1 = {10x, 01x}
d1 = dm.allocateX();
tbv_ref t1(dm.tbvm());
tbv_ref t2(dm.tbvm());
t1 = dm.tbvm().allocateX();
t2 = dm.tbvm().allocateX();
dm.tbvm().set(*t1, 0, BIT_1);
dm.tbvm().set(*t1, 2, BIT_0);
dm.tbvm().set(*t2, 0, BIT_0);
dm.tbvm().set(*t2, 2, BIT_1);
d1->neg().push_back(t1.detach());
d1->neg().push_back(t2.detach());
ds2.push_back(d1.detach());
ds1.display(dm, std::cout) << "\n";
ds2.display(dm, std::cout) << "\n";
expr_ref fml1 = to_formula(ds1, dm);
expr_ref fml2 = to_formula(ds2, dm);
ds1.subtract(dm, ds2);
ds1.display(dm, std::cout) << "\n";
expr_ref fml3 = to_formula(ds1, dm);
fml1 = m.mk_and(fml1, m.mk_not(fml2));
check_equiv(fml1, fml3);
ds1.reset(dm);
ds2.reset(dm);
//sub:{xxx \ {1x0, 0x1}}
//result:{100}
for (unsigned i = 0; i < 1000; ++i) {
udoc d1, d2;
mk_rand_udoc(3, 3, d1);
mk_rand_udoc(3, 3, d2);
fml1 = to_formula(d1, dm);
fml2 = to_formula(d2, dm);
d1.subtract(dm, d2);
fml3 = to_formula(d1, dm);
fml1 = m.mk_and(fml1, m.mk_not(fml2));
check_equiv(fml1, fml3);
d1.reset(dm);
d2.reset(dm);
}
}
void test_intersect() {
expr_ref fml1(m), fml2(m), fml3(m);
for (unsigned i = 0; i < 10000; ++i) {
udoc d1, d2;
mk_rand_udoc(3, 3, d1);
mk_rand_udoc(3, 3, d2);
fml1 = to_formula(d1, dm);
fml2 = to_formula(d2, dm);
TRACE("doc",
d1.display(dm, tout) << "\n";
d2.display(dm, tout) << "\n";);
d1.intersect(dm, d2);
TRACE("doc", d1.display(dm, tout) << "\n";);
ENSURE(d1.well_formed(dm));
fml3 = to_formula(d1, dm);
fml1 = m.mk_and(fml1, fml2);
check_equiv(fml1, fml3);
d1.reset(dm);
d2.reset(dm);
}
}
};
void tst_doc() {
test_doc_cls tp(4);
tp.test_project1();
tp.test_project(200,7);
tp.test_intersect();
tp.test_subtract();
tp.test_merge(200,7);
tst_doc1(5);
tst_doc1(10);
tst_doc1(70);
}