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https://github.com/Z3Prover/z3
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resource-limit related fixes in src/test
This commit is contained in:
Christoph M. Wintersteiger
parent
e91b1e1da4
commit
c2ab9b72dc
11 changed files with 672 additions and 569 deletions
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@ -19,35 +19,37 @@ Notes:
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#include"algebraic_numbers.h"
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#include"polynomial_var2value.h"
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#include"mpbq.h"
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#include"rlimit.h"
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static void display_anums(std::ostream & out, scoped_anum_vector const & rs) {
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out << "numbers in decimal:\n";
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algebraic_numbers::manager & m = rs.m();
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for (unsigned i = 0; i < rs.size(); i++) {
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m.display_decimal(out, rs[i], 10);
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m.display_decimal(out, rs[i], 10);
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out << "\n";
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}
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out << "numbers as root objects\n";
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for (unsigned i = 0; i < rs.size(); i++) {
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m.display_root(out, rs[i]);
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m.display_root(out, rs[i]);
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out << "\n";
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}
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}
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out << "numbers as intervals\n";
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for (unsigned i = 0; i < rs.size(); i++) {
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m.display_interval(out, rs[i]);
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m.display_interval(out, rs[i]);
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out << "\n";
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}
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}
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}
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static void tst1() {
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reslimit rl;
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unsynch_mpq_manager nm;
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polynomial::manager m(nm);
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polynomial::manager m(rl, nm);
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polynomial_ref x(m);
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x = m.mk_polynomial(m.mk_var());
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polynomial_ref p(m);
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p = 3*x - 2;
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algebraic_numbers::manager am(nm);
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algebraic_numbers::manager am(rl, nm);
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scoped_anum_vector rs1(am);
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std::cout << "p: " << p << "\n";
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am.isolate_roots(p, rs1);
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@ -69,16 +71,16 @@ static void tst1() {
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nm.set(q, 1, 3);
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scoped_anum aq(am);
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am.set(aq, q); // create algebraic number representing 1/3
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am.add(sqrt2, aq, aq);
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std::cout << "sqrt(2) + 1/3: ";
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am.display_decimal(std::cout, aq, 10); std::cout << " "; am.display_interval(std::cout, aq);
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std::cout << "sqrt(2) + 1/3: ";
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am.display_decimal(std::cout, aq, 10); std::cout << " "; am.display_interval(std::cout, aq);
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std::cout << " "; am.display_root(std::cout, aq); std::cout << "\n";
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am.set(aq, q);
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am.set(aq, q);
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am.add(rs1[0], aq, aq);
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std::cout << "-sqrt(2) + 1/3: ";
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am.display_decimal(std::cout, aq, 10); std::cout << " "; am.display_interval(std::cout, aq);
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std::cout << "-sqrt(2) + 1/3: ";
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am.display_decimal(std::cout, aq, 10); std::cout << " "; am.display_interval(std::cout, aq);
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std::cout << " "; am.display_root(std::cout, aq); std::cout << "\n";
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p = ((x^5) - x - 1)*(x-1)*(x-2);
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@ -92,7 +94,7 @@ static void tst1() {
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am.set(gauss, rs1[1]);
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std::cout << "compare(" << sqrt2 << ", " << gauss << "): " << am.compare(sqrt2, gauss) << "\n";
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statistics st;
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am.collect_statistics(st);
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st.display_smt2(std::cout);
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@ -103,7 +105,7 @@ static void tst1() {
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am.isolate_roots(p, rs1);
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display_anums(std::cout, rs1);
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SASSERT(rs1.size() == 4);
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scoped_anum hidden_sqrt2(am);
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am.set(hidden_sqrt2, rs1[2]);
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@ -116,7 +118,7 @@ static void tst1() {
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SASSERT(is_int(power(sqrt2, 4)));
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SASSERT(power(sqrt2, 4) == 4);
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scoped_anum sqrt2_gauss(am);
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am.add(sqrt2, gauss, sqrt2_gauss);
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std::cout << "sqrt2 + gauss: " << sqrt2_gauss << " "; am.display_root(std::cout, sqrt2_gauss); std::cout << "\n";
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@ -151,22 +153,22 @@ static void tst1() {
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am.mul(tmp, sqrt2, tmp);
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std::cout << "sqrt(2)*4*(1/sqrt2): " << tmp << " " << root_obj_pp(tmp) << "\n";
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std::cout << "is_int(sqrt(2)*4*(1/sqrt2)): " << am.is_int(tmp) << ", after is-int: " << tmp << "\n";
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p = (998*x - 1414)*((x^2) - 15);
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std::cout << "p: " << p << "\n";
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rs1.reset();
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am.isolate_roots(p, rs1);
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std::cout << "is-rational(sqrt2): " << am.is_rational(sqrt2) << "\n";
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scoped_anum qr(am);
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am.set(qr, rs1[1]);
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std::cout << "qr: " << root_obj_pp(qr);
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std::cout << ", is-rational: " << am.is_rational(qr) << ", val: " << root_obj_pp(qr) << "\n";
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return;
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std::cout << "compare(" << sqrt2 << ", " << gauss << "): " << am.compare(sqrt2, gauss) << "\n";
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p = (x^16) - 136*(x^14) + 6476*(x^12) - 141912*(x^10) + 1513334*(x^8) - 7453176*(x^6) + 13950764*(x^4) - 5596840*(x^2) + 46225;
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@ -216,25 +218,26 @@ void tst_mpbq_root() {
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mpbq_manager bqm(qm);
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// scoped_mpbq q(bqm);
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// q.set(q1, 1.4142135 , 7);
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}
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static void tst_wilkinson() {
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// Test Wilkinson Polynomial
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reslimit rl;
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unsynch_mpq_manager nm;
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polynomial::manager m(nm);
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polynomial::manager m(rl, nm);
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polynomial_ref x(m);
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x = m.mk_polynomial(m.mk_var());
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polynomial_ref p(m);
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for (int i = 1; i <= 20; i++) {
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if (i > 1)
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if (i > 1)
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p = p*(x - i);
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else
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else
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p = (x - i);
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}
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std::cout << "Wilkinson's polynomial: " << p << "\n";
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algebraic_numbers::manager am(nm);
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algebraic_numbers::manager am(rl, nm);
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scoped_anum_vector rs1(am);
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std::cout << "p: " << p << "\n";
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am.isolate_roots(p, rs1);
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@ -246,9 +249,10 @@ static void tst_wilkinson() {
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}
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static void tst_dejan() {
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reslimit rl;
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unsynch_mpq_manager qm;
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algebraic_numbers::manager am(qm);
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algebraic_numbers::manager am(rl, qm);
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scoped_anum two101(am);
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am.set(two101, 2);
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am.root(two101, 11, two101);
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@ -256,7 +260,7 @@ static void tst_dejan() {
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scoped_anum two103(am);
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am.set(two103, 2);
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am.root(two103, 7, two103);
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std::cout << "two101: " << two101 << " " << root_obj_pp(two101) << std::endl;
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std::cout << "two103: " << two103 << " " << root_obj_pp(two103) << std::endl;
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@ -332,9 +336,10 @@ static void tst_eval_sign(polynomial_ref const & p, anum_manager & am,
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static void tst_eval_sign() {
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enable_trace("anum_eval_sign");
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reslimit rl;
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unsynch_mpq_manager qm;
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polynomial::manager pm(qm);
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algebraic_numbers::manager am(qm);
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polynomial::manager pm(rl, qm);
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algebraic_numbers::manager am(rl, qm);
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polynomial_ref x0(pm);
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polynomial_ref x1(pm);
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polynomial_ref x2(pm);
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@ -351,7 +356,7 @@ static void tst_eval_sign() {
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am.set(v1, 1);
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am.set(v0, -3);
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tst_eval_sign(p, am, 0, v0, 1, v1, 2, v2, -1);
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am.set(v0, 2);
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am.root(v0, 2, v0);
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am.set(v1, 0);
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@ -412,9 +417,10 @@ static void tst_isolate_roots(polynomial_ref const & p, anum_manager & am,
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static void tst_isolate_roots() {
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enable_trace("isolate_roots");
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reslimit rl;
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unsynch_mpq_manager qm;
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polynomial::manager pm(qm);
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algebraic_numbers::manager am(qm);
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polynomial::manager pm(rl, qm);
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algebraic_numbers::manager am(rl, qm);
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polynomial_ref x0(pm);
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polynomial_ref x1(pm);
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polynomial_ref x2(pm);
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@ -423,7 +429,7 @@ static void tst_isolate_roots() {
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x1 = pm.mk_polynomial(pm.mk_var());
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x2 = pm.mk_polynomial(pm.mk_var());
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x3 = pm.mk_polynomial(pm.mk_var());
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polynomial_ref p(pm);
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p = x3*x1 + 1;
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@ -432,44 +438,44 @@ static void tst_isolate_roots() {
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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am.set(v1, 1);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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am.set(v1, 2);
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am.root(v1, 2, v1);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x1 + x2)*x3 + 1;
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am.set(v2, v1);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x1 + x2)*x3 + x1*x2 + 2;
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x1 + x2)*(x3^3) + x1*x2 + 2;
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x1 + x2)*(x3^2) - x1*x2 - 2;
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = x0*(x1 + x2)*(x3^2) - x0*x1*x2 - 2;
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x1 - x2)*x3 + x1*x2 - 2;
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x1 - x2)*(x3^3) + x1*x2 - 2;
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x3 - x0)*(x3 - x0 - x1);
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am.set(v0, 2);
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am.root(v0, 2, v0); // x2 -> sqrt(2)
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am.set(v1, 3);
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am.root(v1, 2, v1); // x1 -> sqrt(3)
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am.reset(v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x3 - x0)*((x3 - x0 - x1)^2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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p = (x3 - x0)*(x3 - 2)*((x3 - 1)^2)*(x3 - x1);
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tst_isolate_roots(p, am, 0, v0, 1, v1, 2, v2);
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@ -485,7 +491,8 @@ static void pp(polynomial_ref const & p, polynomial::var x) {
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static void ex1() {
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unsynch_mpq_manager qm;
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polynomial::manager pm(qm);
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reslimit rl;
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polynomial::manager pm(rl, qm);
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polynomial_ref x(pm);
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polynomial_ref a(pm);
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polynomial_ref b(pm);
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@ -508,7 +515,7 @@ static void ex1() {
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std::cout << "d: " << d << "\n";
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std::cout << "h3: "; pp(h3, 0); std::cout << "\n";
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algebraic_numbers::manager am(qm);
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algebraic_numbers::manager am(rl, qm);
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scoped_anum v1(am), v2(am);
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am.set(v1, 2);
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am.root(v1, 3, v1);
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@ -542,8 +549,9 @@ static void ex1() {
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}
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static void tst_root() {
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reslimit rl;
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unsynch_mpq_manager qm;
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algebraic_numbers::manager am(qm);
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algebraic_numbers::manager am(rl, qm);
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scoped_anum v1(am), v2(am);
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am.set(v1, 4);
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am.root(v1, 2, v2);
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@ -551,7 +559,7 @@ static void tst_root() {
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am.set(v1, 4);
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am.root(v1, 4, v2);
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std::cout << "root: " << root_obj_pp(v2) << "\n";
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}
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void tst_algebraic() {
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