z3-z3-4.13.0.src.test.pdd.cpp Maven / Gradle / Ivy
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#include "math/dd/dd_pdd.h"
#include
namespace dd {
class test {
public:
static void hello_world() {
pdd_manager m(3);
pdd v0 = m.mk_var(0);
pdd v1 = m.mk_var(1);
pdd v2 = m.mk_var(2);
std::cout << v0 << "\n";
std::cout << v1 << "\n";
std::cout << v2 << "\n";
pdd c1 = v0 * v1 * v2;
pdd c2 = v2 * v0 * v1;
std::cout << c1 << "\n";
VERIFY(c1 == c2);
c1 = v0 + v1 + v2;
c2 = v2 + v1 + v0;
std::cout << c1 << "\n";
VERIFY(c1 == c2);
c1 = (v0+v1) * v2;
c2 = (v0*v2) + (v1*v2);
std::cout << c1 << "\n";
VERIFY(c1 == c2);
c1 = (c1 + 3) + 1;
c2 = (c2 + 1) + 3;
std::cout << c1 << "\n";
VERIFY(c1 == c2);
c1 = v0 - v1;
c2 = v1 - v0;
std::cout << c1 << " " << c2 << "\n";
c1 = v1*v2;
c2 = (v0*v2) + (v2*v2);
pdd c3 = m.zero();
VERIFY(m.try_spoly(c1, c2, c3));
std::cout << c1 << " " << c2 << " spoly: " << c3 << "\n";
c1 = v1*v2;
c2 = (v0*v2) + (v1*v1);
VERIFY(m.try_spoly(c1, c2, c3));
std::cout << c1 << " " << c2 << " spoly: " << c3 << "\n";
c1 = (v0*v1) - (v0*v0);
c2 = (v0*v1*(v2 + v0)) + v2;
c3 = c2.reduce(c1);
std::cout << c1 << " " << c2 << " reduce: " << c3 << "\n";
VERIFY(c3 == c3.reduce(c1));
}
static void reduce() {
std::cout << "\nreduce\n";
// a(b^2)cd + abc + bcd + bc + cd + 3 reduce by bc
pdd_manager m(4);
pdd a = m.mk_var(0);
pdd b = m.mk_var(1);
pdd c = m.mk_var(2);
pdd d = m.mk_var(3);
pdd e = (a * b * b * c * d) + (2*a*b*c) + (b*c*d) + (b*c) + (c*d) + 3;
std::cout << e << "\n";
pdd f = b * c;
pdd r_ef = m.reduce(e, f);
m.display(std::cout);
std::cout << "result of reduce " << e << " by " << f << " is " << r_ef << "\n";
VERIFY(r_ef == (c*d) + 3);
pdd r_fe = m.reduce(f, e);
std::cout << "result of reduce " << f << " by " << e << " is " << r_fe << "\n" ;
VERIFY(r_fe == f);
// test that b*c*d is treated as the leading monomial
f = b*c*d - d*d;
r_ef = m.reduce(e, f);
std::cout << "result of reduce " << e << " by " << f << " is " << r_ef << "\n";
VERIFY(r_ef == (a*b*d*d) + (2*a*b*c) + (d*d) + (b*c) + (c*d) + 3);
pdd k = d*d + 3*b;
VERIFY(m.reduce(f, k) == b*c*d + 3*b);
}
static void large_product() {
std::cout << "\nlarge_product\n";
pdd_manager m(4);
pdd a = m.mk_var(0);
pdd b = m.mk_var(1);
pdd c = m.mk_var(2);
pdd d = m.mk_var(3);
pdd e = a + c;
for (unsigned i = 0; i < 5; i++) {
e = e * e;
}
e = e * b;
std::cout << e << "\n";
}
static void reset() {
std::cout << "\ntest reset\n";
pdd_manager m(4);
pdd a = m.mk_var(0);
pdd b = m.mk_var(1);
pdd c = m.mk_var(2);
pdd d = m.mk_var(3);
std::cout << (a + b)*(c + d) << "\n";
unsigned_vector l2v;
for (unsigned i = 0; i < 4; ++i)
l2v.push_back(3 - i);
m.reset(l2v);
a = m.mk_var(0);
b = m.mk_var(1);
c = m.mk_var(2);
d = m.mk_var(3);
std::cout << (a + b)*(c + d) << "\n";
}
static void canonize() {
std::cout << "\ncanonize\n";
pdd_manager m(2);
pdd a = m.mk_var(0);
pdd b = m.mk_var(1);
pdd e = (a - b) * ( a + b);
pdd f = a * a - b * b;
VERIFY(e == f);
e = (a - b)* (a - b);
f = a * a - 2 * a * b + b * b;
VERIFY(e == f);
e = a - 3;
e = e * e;
f = a * a - 6 * a + 9;
VERIFY(e == f);
e = 2 * a - 3;
e = e * e;
f = 4 * a * a - 12 * a + 9;
VERIFY(e == f);
}
static void iterator() {
std::cout << "test iterator\n";
pdd_manager m(4);
pdd a = m.mk_var(0);
pdd b = m.mk_var(1);
pdd c = m.mk_var(2);
pdd d = m.mk_var(3);
auto const check = [](unsigned const expected_num_monomials, pdd const& p) {
unsigned count = 0;
std::cout << p << "\n";
for (auto const& m : p) {
std::cout << " " << m << "\n";
++count;
}
VERIFY_EQ(expected_num_monomials, count);
};
check(9, (a + b + 2)*(c + 3*d + 5) + 2);
check(5, (a + b)*(c + 3*d) + 2);
check(1, a);
check(2, a + 5);
check(1, m.mk_val(5));
check(0, m.mk_val(0));
}
static void linear_iterator() {
std::cout << "test linear iterator\n";
pdd_manager m(4);
pdd a = m.mk_var(0);
pdd b = m.mk_var(1);
pdd c = m.mk_var(2);
pdd d = m.mk_var(3);
pdd p = (a + b + 2)*(c + 3*d + 5) + 2;
std::cout << p << "\n";
for (auto const& m : p.linear_monomials())
std::cout << " " << m << "\n";
std::cout << a << "\n";
for (auto const& m : a.linear_monomials())
std::cout << " " << m << "\n";
pdd one = m.mk_val(5);
std::cout << one << "\n";
for (auto const& m : one.linear_monomials())
std::cout << " " << m << "\n";
pdd zero = m.mk_val(0);
std::cout << zero << "\n";
for (auto const& m : zero.linear_monomials())
std::cout << " " << m << "\n";
}
static void order() {
std::cout << "order\n";
pdd_manager m(4);
unsigned va = 0;
unsigned vb = 1;
unsigned vc = 2;
unsigned vd = 3;
pdd a = m.mk_var(va);
pdd b = m.mk_var(vb);
pdd c = m.mk_var(vc);
pdd d = m.mk_var(vd);
pdd p = a + b;
std::cout << p << "\n";
unsigned i = 0;
for (auto const& m : p) {
std::cout << m << "\n";
VERIFY(i != 0 ||( m.vars.size() == 1 && m.vars[0] == vb));
VERIFY(i != 1 ||( m.vars.size() == 1 && m.vars[0] == va));
i++;
}
pdd ccbbaa = c*c*b*b*a*a;
pdd ccbbba = c*c*b*b*b*a;
p = ccbbaa + ccbbba;
i = 0;
std::cout << "p = " << p << "\n";
for (auto const& m : p) {
std::cout << m << "\n";
VERIFY(i != 0 ||( m.vars.size() == 6 && m.vars[4] == vb)); // the first one has to be ccbbba
VERIFY(i != 1 ||( m.vars.size() == 6 && m.vars[4] == va)); // the second one has to be ccbbaa
i++;
}
pdd dcbba = d*c*b*b*a;
pdd dd = d * d;
p = dcbba + ccbbba + dd;
vector v;
std::cout << "p = " << p << "\n";
unsigned k = p.index();
std::cout << "pdd(k) = " << pdd(k, m) << "\n";
k = m.first_leading(k);
do {
if (m.is_val(k)) {
VERIFY(m.val(k).is_one());
break;
}
v.push_back(m.var(k));
std::cout << "pdd(k) = " << pdd(k, m) << "\n";
std::cout << "push v" << m.var(k) << "\n";
k = m.next_leading(k);
} while(true);
auto it = v.begin();
std::cout << "v" << *it;
it++;
for( ; it != v.end(); it ++) {
std::cout << "*v" << *it;
}
VERIFY(v.size() == 6);
VERIFY(v[0] == vc);
std::cout << "\n";
v.reset();
p = d*c*c*d + b*c*c*b + d*d*d;
k = p.index();
std::cout << "pdd(k) = " << pdd(k, m) << "\n";
k = m.first_leading(k);
do {
if (m.is_val(k)) {
VERIFY(m.val(k).is_one());
break;
}
v.push_back(m.var(k));
std::cout << "pdd(k) = " << pdd(k, m) << "\n";
std::cout << "push v" << m.var(k) << "\n";
k = m.next_leading(k);
} while(true);
it = v.begin();
std::cout << "v" << *it;
it++;
for( ; it != v.end(); it ++) {
std::cout << "*v" << *it;
}
VERIFY(v.size() == 4);
VERIFY(v[0] == vd);
std::cout << "\n";
}
static void order_lm() {
std::cout << "order_lm\n";
pdd_manager m(4);
unsigned va = 0;
unsigned vb = 1;
unsigned vc = 2;
unsigned vd = 3;
pdd a = m.mk_var(va);
pdd b = m.mk_var(vb);
pdd c = m.mk_var(vc);
pdd d = m.mk_var(vd);
pdd p = a + b;
std::cout << p << "\n";
unsigned i = 0;
for (auto const& m : p) {
std::cout << m << "\n";
VERIFY(i != 0 ||( m.vars.size() == 1 && m.vars[0] == vb));
VERIFY(i != 1 ||( m.vars.size() == 1 && m.vars[0] == va));
i++;
}
pdd ccbbaa = c*c*b*b*a*a;
pdd ccbbba = c*c*b*b*b*a;
p = ccbbaa + ccbbba;
i = 0;
std::cout << "p = " << p << "\n";
for (auto const& m : p) {
std::cout << m << "\n";
VERIFY(i != 0 ||( m.vars.size() == 6 && m.vars[4] == vb)); // the first one has to be ccbbba
VERIFY(i != 1 ||( m.vars.size() == 6 && m.vars[4] == va)); // the second one has to be ccbbaa
i++;
}
pdd dcbba = d*c*b*b*a;
pdd dd = d * d;
pdd p0 = p + dd;
std::cout << p0 << " > " << p << "\n";
VERIFY(m.lm_lt(p, p0));
VERIFY(m.lm_lt(p0 + a * b, p0 + b * b));
}
/**
* Test polynomials mod 2^2
*/
static void mod4_operations() {
std::cout << "operations mod4\n";
pdd_manager m(4, pdd_manager::mod2N_e, 2);
unsigned va = 0;
unsigned vb = 1;
unsigned vc = 2;
unsigned vd = 3;
pdd a = m.mk_var(va);
pdd b = m.mk_var(vb);
pdd c = m.mk_var(vc);
pdd d = m.mk_var(vd);
pdd p = a - b;
std::cout << p << "\n";
// should be reduced to 0:
p = a*a*(a*a - 1);
std::cout << p << "\n";
vector> sub0, sub1, sub2, sub3;
sub0.push_back(std::make_pair(va, rational(0)));
sub1.push_back(std::make_pair(va, rational(1)));
sub2.push_back(std::make_pair(va, rational(2)));
sub3.push_back(std::make_pair(va, rational(3)));
std::cout << "sub 0 " << p.subst_val0(sub0) << "\n";
std::cout << "sub 1 " << p.subst_val0(sub1) << "\n";
std::cout << "sub 2 " << p.subst_val0(sub2) << "\n";
std::cout << "sub 3 " << p.subst_val0(sub3) << "\n";
std::cout << "expect 1 " << (2*a + 1).is_never_zero() << "\n";
std::cout << "expect 1 " << (2*a*b + 2*b + 1).is_never_zero() << "\n";
std::cout << "expect 0 " << (2*a + 2).is_never_zero() << "\n";
VERIFY((2*a + 1).is_never_zero());
VERIFY((2*a + 2*b + 1).is_never_zero());
VERIFY(!(2*a*b + 3*b + 2).is_never_zero());
}
static void degree_of_variables() {
std::cout << "degree of variables\n";
pdd_manager m(4, pdd_manager::mod2N_e, 3);
unsigned va = 0;
unsigned vb = 1;
unsigned vc = 2;
pdd a = m.mk_var(va);
pdd b = m.mk_var(vb);
pdd c = m.mk_var(vc);
VERIFY(a.var() == va);
VERIFY(b.var() == vb);
VERIFY(a.degree(va) == 1);
VERIFY(a.degree(vb) == 0);
VERIFY(a.degree(vc) == 0);
VERIFY(c.degree(vc) == 1);
VERIFY(c.degree(vb) == 0);
VERIFY(c.degree(va) == 0);
{
pdd p = a * a * a;
VERIFY(p.degree(va) == 3);
VERIFY(p.degree(vb) == 0);
}
{
pdd p = b * a;
VERIFY(p.degree(va) == 1);
VERIFY(p.degree(vb) == 1);
VERIFY(p.degree(vc) == 0);
}
{
pdd p = (a*a*b + b*a*b + b + a*c)*a + b*b*c;
VERIFY(p.degree(va) == 3);
VERIFY(p.degree(vb) == 2);
VERIFY(p.degree(vc) == 1);
}
{
// check that skipping marked nodes works (1)
pdd p = b*a + c*a*a*a;
VERIFY(p.degree(va) == 3);
}
{
// check that skipping marked nodes works (2)
pdd p = (b+c)*(a*a*a);
VERIFY(p.degree(va) == 3);
}
{
// check that skipping marked nodes works (3)
pdd p = a*a*a*b*b*b*c + a*a*a*b*b*b;
VERIFY(p.degree(va) == 3);
}
}
static void factor() {
std::cout << "factor\n";
pdd_manager m(4, pdd_manager::mod2N_e, 3);
unsigned const va = 0;
unsigned const vb = 1;
unsigned const vc = 2;
unsigned const vd = 3;
pdd const a = m.mk_var(va);
pdd const b = m.mk_var(vb);
pdd const c = m.mk_var(vc);
pdd const d = m.mk_var(vd);
auto test_one = [&m](pdd const& p, unsigned v, unsigned d) {
pdd lc = m.zero();
pdd rest = m.zero();
std::cout << "Factoring p = " << p << " by v" << v << "^" << d << "\n";
p.factor(v, d, lc, rest);
std::cout << " lc = " << lc << "\n";
std::cout << " rest = " << rest << "\n";
pdd x = m.mk_var(v);
pdd x_pow_d = m.one();
for (unsigned i = 0; i < d; ++i) {
x_pow_d *= x;
}
VERIFY( p == lc * x_pow_d + rest );
VERIFY( d == 0 || rest.degree(v) < d );
VERIFY( d != 0 || lc.is_zero() );
};
auto test_multiple = [=](pdd const& p) {
for (auto v : {va, vb, vc, vd}) {
for (unsigned d = 0; d <= 5; ++d) {
test_one(p, v, d);
}
}
};
test_multiple( b );
test_multiple( b*b*b );
test_multiple( b + c );
test_multiple( a*a*a*a*a + a*a*a*b + a*a*b*b + c );
test_multiple( c*c*c*c*c + b*b*b*c + 3*b*c*c + a );
test_multiple( (a + b) * (b + c) * (c + d) * (d + a) );
}
static void max_pow2_divisor() {
std::cout << "max_pow2_divisor\n";
pdd_manager m(4, pdd_manager::mod2N_e, 256);
unsigned const va = 0;
unsigned const vb = 1;
pdd const a = m.mk_var(va);
pdd const b = m.mk_var(vb);
VERIFY(m.zero().max_pow2_divisor() == UINT_MAX);
VERIFY(m.one().max_pow2_divisor() == 0);
pdd p = (1 << 20)*a*b + 1024*b*b*b;
std::cout << p << " divided by 2^" << p.max_pow2_divisor() << "\n";
VERIFY(p.max_pow2_divisor() == 10);
VERIFY(p.div(rational::power_of_two(10)) == 1024*a*b + b*b*b);
VERIFY((p + p).max_pow2_divisor() == 11);
VERIFY((p * p).max_pow2_divisor() == 20);
VERIFY((p + 2*b).max_pow2_divisor() == 1);
VERIFY((p + b*b*b).max_pow2_divisor() == 0);
}
static void try_div() {
std::cout << "try_div\n";
pdd_manager m(4, pdd_manager::mod2N_e, 256);
pdd const a = m.mk_var(0);
pdd const b = m.mk_var(1);
pdd const p = 5*a + 15*a*b;
VERIFY_EQ(p.div(rational(5)), a + 3*a*b);
pdd res = a;
VERIFY(!p.try_div(rational(3), res));
}
static void binary_resolve() {
std::cout << "binary resolve\n";
pdd_manager m(4, pdd_manager::mod2N_e, 4);
unsigned const va = 0;
unsigned const vb = 1;
unsigned const vc = 2;
pdd const a = m.mk_var(va);
pdd const b = m.mk_var(vb);
pdd const c = m.mk_var(vc);
pdd r = m.zero();
pdd p = a*a*b - a*a;
pdd q = a*b*b - b*b;
VERIFY(m.resolve(va, p, q, r));
VERIFY(r == a*b*b*b - a*b*b);
VERIFY(!m.resolve(va, q, p, r));
VERIFY(!m.resolve(vb, p, q, r));
VERIFY(m.resolve(vb, q, p, r));
VERIFY(r == a*a*a*b - a*a*b);
VERIFY(!m.resolve(vc, p, q, r));
p = 2*a*a*b + 13*a*a;
q = 6*a*b*b*b + 14*b*b*b;
VERIFY(m.resolve(va, p, q, r));
VERIFY(r == (2*b+13)*2*b*b*b*a);
VERIFY(!m.resolve(va, q, p, r));
VERIFY(!m.resolve(vb, p, q, r));
VERIFY(m.resolve(vb, q, p, r));
VERIFY(r == 9*a*a*a*b*b + 5*a*a*b*b);
p = a*a*b - a*a + 4*a*c + 2;
q = 3*b*b - b*b*b + 8*b*c;
VERIFY(!m.resolve(va, p, q, r));
VERIFY(!m.resolve(va, q, p, r));
VERIFY(!m.resolve(vb, p, q, r));
VERIFY(m.resolve(vb, q, p, r));
VERIFY(r == 2*a*a*b*b + 8*a*a*b*c + 4*a*b*b*c + 2*b*b);
VERIFY(m.resolve(vc, p, q, r));
VERIFY(r == 2*a*a*b*b - 2*a*a*b - 3*a*b*b + a*b*b*b + 4*b);
VERIFY(m.resolve(vc, q, p, r));
VERIFY(r == -(2*a*a*b*b - 2*a*a*b - 3*a*b*b + a*b*b*b + 4*b));
}
static void pow() {
std::cout << "pow\n";
pdd_manager m(4, pdd_manager::mod2N_e, 5);
unsigned const va = 0;
unsigned const vb = 1;
pdd const a = m.mk_var(va);
pdd const b = m.mk_var(vb);
VERIFY(a.pow(0) == m.one());
VERIFY(a.pow(1) == a);
VERIFY(a.pow(2) == a*a);
VERIFY(a.pow(7) == a*a*a*a*a*a*a);
VERIFY((3*a*b).pow(3) == 27*a*a*a*b*b*b);
}
static void subst_val() {
std::cout << "subst_val\n";
pdd_manager m(4, pdd_manager::mod2N_e, 2);
unsigned const va = 0;
unsigned const vb = 1;
unsigned const vc = 2;
unsigned const vd = 3;
pdd const a = m.mk_var(va);
pdd const b = m.mk_var(vb);
pdd const c = m.mk_var(vc);
pdd const d = m.mk_var(vd);
{
pdd const p = 2*a + b + 1;
VERIFY(p.subst_val(va, rational(0)) == b + 1);
}
{
pdd const p = a + 2*b;
VERIFY(p.subst_val(va, rational(0)) == 2*b);
VERIFY(p.subst_val(va, rational(2)) == 2*b + 2);
VERIFY(p.subst_val(vb, rational(0)) == a);
VERIFY(p.subst_val(vb, rational(1)) == a + 2);
VERIFY(p.subst_val(vb, rational(2)) == a);
VERIFY(p.subst_val(vb, rational(3)) == a + 2);
VERIFY(p.subst_val(va, rational(0)).subst_val(vb, rational(3)) == 2*m.one());
}
{
pdd const p = a + b + c + d;
vector> sub;
sub.push_back({vb, rational(2)});
sub.push_back({vc, rational(3)});
VERIFY(p.subst_val0(sub) == a + d + 1);
}
{
pdd const p = (a + b) * (b + c) * (c + d);
vector> sub;
sub.push_back({vb, rational(2)});
sub.push_back({vc, rational(3)});
VERIFY(p.subst_val0(sub) == (a + 2) * (d + 3));
sub.push_back({va, rational(3)});
sub.push_back({vd, rational(2)});
VERIFY(p.subst_val0(sub) == m.one());
}
}
static void subst_get() {
std::cout << "subst_get\n";
pdd_manager m(4, pdd_manager::mod2N_e, 32);
unsigned const va = 0;
unsigned const vb = 1;
unsigned const vc = 2;
unsigned const vd = 3;
rational val;
pdd s = m.one();
std::cout << s << "\n";
VERIFY(!s.subst_get(va, val));
VERIFY(!s.subst_get(vb, val));
VERIFY(!s.subst_get(vc, val));
VERIFY(!s.subst_get(vd, val));
s = s.subst_add(va, rational(5));
std::cout << s << "\n";
VERIFY(s.subst_get(va, val) && val == 5);
VERIFY(!s.subst_get(vb, val));
VERIFY(!s.subst_get(vc, val));
VERIFY(!s.subst_get(vd, val));
s = s.subst_add(vc, rational(7));
std::cout << s << "\n";
VERIFY(s.subst_get(va, val) && val == 5);
VERIFY(!s.subst_get(vb, val));
VERIFY(s.subst_get(vc, val) && val == 7);
VERIFY(!s.subst_get(vd, val));
}
static void univariate() {
std::cout << "univariate\n";
pdd_manager m(4, pdd_manager::mod2N_e, 4);
unsigned const va = 0;
unsigned const vb = 1;
pdd const a = m.mk_var(va);
pdd const b = m.mk_var(vb);
pdd p = a*a*b - a*a;
VERIFY(!p.is_univariate());
pdd q = 3*a*a*a + 1*a + 2;
VERIFY(q.is_univariate());
vector coeff;
q.get_univariate_coefficients(coeff);
VERIFY_EQ(coeff.size(), 4);
VERIFY_EQ(coeff[0], 2);
VERIFY_EQ(coeff[1], 1);
VERIFY_EQ(coeff[2], 0);
VERIFY_EQ(coeff[3], 3);
}
static void factors() {
pdd_manager m(3);
pdd v0 = m.mk_var(0);
pdd v1 = m.mk_var(1);
pdd v2 = m.mk_var(2);
pdd v3 = m.mk_var(3);
pdd v4 = m.mk_var(4);
pdd c1 = v0 * v1 * v2 + v2 * v0 + v1 + 1;
{
auto [vars, p] = c1.var_factors();
VERIFY(p == c1 && vars.empty());
}
{
auto q = c1 * v4;
auto [vars, p] = q.var_factors();
std::cout << p << " " << vars << "\n";
VERIFY(p == c1 && vars.size() == 1 && vars[0] == 4);
}
for (unsigned i = 0; i < 5; ++i) {
auto v = m.mk_var(i);
auto q = c1 * v;
std::cout << i << ": " << q << "\n";
auto [vars, p] = q.var_factors();
std::cout << p << " " << vars << "\n";
VERIFY(p == c1 && vars.size() == 1 && vars[0] == i);
}
for (unsigned i = 0; i < 5; ++i) {
for (unsigned j = 0; j < 5; ++j) {
auto vi = m.mk_var(i);
auto vj = m.mk_var(j);
auto q = c1 * vi * vj;
auto [vars, p] = q.var_factors();
std::cout << p << " " << vars << "\n";
VERIFY(p == c1 && vars.size() == 2);
VERIFY(vars[0] == i || vars[1] == i);
VERIFY(vars[0] == j || vars[1] == j);
}
}
for (unsigned i = 0; i < 5; ++i) {
for (unsigned j = i; j < 5; ++j) {
for (unsigned k = j; k < 5; ++k) {
auto vi = m.mk_var(i);
auto vj = m.mk_var(j);
auto vk = m.mk_var(k);
auto q = c1 * vi * vj * vk;
auto [vars, p] = q.var_factors();
std::cout << p << " " << vars << "\n";
VERIFY(p == c1 && vars.size() == 3);
VERIFY(vars[0] == i || vars[1] == i || vars[2] == i);
VERIFY(vars[0] == j || vars[1] == j || vars[2] == j);
VERIFY(vars[0] == k || vars[1] == k || vars[2] == k);
}
}
}
}
};
}
void tst_pdd() {
dd::test::hello_world();
dd::test::reduce();
dd::test::large_product();
dd::test::canonize();
dd::test::reset();
dd::test::iterator();
dd::test::linear_iterator();
dd::test::order();
dd::test::order_lm();
dd::test::mod4_operations();
dd::test::degree_of_variables();
dd::test::factor();
dd::test::max_pow2_divisor();
dd::test::try_div();
dd::test::binary_resolve();
dd::test::pow();
dd::test::subst_val();
dd::test::subst_get();
dd::test::univariate();
dd::test::factors();
}