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add unit test for #2867

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2020-03-24 11:52:41 -07:00
parent 33b644adad
commit a4f668eef0
5 changed files with 98 additions and 31 deletions
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63
src/test/algebraic.cpp
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@ -562,7 +562,70 @@ static void tst_root() {
}
static void tst_sturm() {
reslimit rl;
unsynch_mpq_manager nm;
polynomial::manager m(rl, nm);
polynomial_ref x(m);
x = m.mk_polynomial(m.mk_var());
polynomial_ref p(m);
polynomial_ref q(m);
#define N(s) (rational(#s).to_mpq())
p = N(507962865083498496)*(x^10) +
N(102100535881783197696)*(x^9) -
N(14783112447185507561472)*(x^8) -
N(2001324733200883839555072)*(x^7) +
N(195168383210843217999079936)*(x^6) +
N(38119811955608999164032)*(x^5) +
N(9215524544769908136049956)*(x^4) -
N(733241058456905205563830332)*(x^3) -
N(15888459782104331950227)*(x^2) -
N(10235992917286431461226534)*x +
N(688689757310708660505387921);
q = N(1286741608255488)*(x^6) +
N(129317531629676544)*(x^5) -
N(25384908626459170944)*(x^4) +
N(16014650289587907456)*(x^3) +
N(2042137943326838560)*(x^2) +
N(44729821875714513846)*x -
N(29154410578758924855);
algebraic_numbers::manager am(rl, nm);
scoped_anum_vector rs1(am), rs2(am);
std::cout << "p: " << p << "\n";
am.isolate_roots(p, rs1);
scoped_anum a(am), b(am), c(am);
a = rs1[2];
b = rs1[3];
am.isolate_roots(q, rs2);
c = rs2[3];
am.display_decimal(std::cout << "a:", a) << "\n";
am.display_interval(std::cout << "a:", a) << "\n";
am.display_root(std::cout << "a:", a) << "\n";
am.display_decimal(std::cout << "b:", b) << "\n";
am.display_interval(std::cout << "b:", b) << "\n";
am.display_root(std::cout << "b:", b) << "\n";
am.display_decimal(std::cout << "c:", c) << "\n";
am.display_interval(std::cout << "c:", c) << "\n";
am.display_root(std::cout << "c:", c) << "\n";
std::cout << "b < a " << am.lt(b, a) << "\n";
std::cout << "c < b " << am.lt(c, b) << "\n";
std::cout << "c < a " << am.lt(c, a) << "\n";
// it should not be the case that b < a == 0, c < b == 0 and c < a == 1.
}
void tst_algebraic() {
tst_sturm();
// enable_trace("resultant_bug");
// enable_trace("poly_sign");
disable_trace("algebraic");