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model based opt dev
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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3 changed files with 239 additions and 133 deletions
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@ -1,49 +1,120 @@
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#include "model_based_opt.h"
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typedef opt::model_based_opt::var var;
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static void add_ineq(opt::model_based_opt& mbo, unsigned x, int a, unsigned y, int b, int k, opt::ineq_type rel) {
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vector<var> vars;
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vars.push_back(var(x, rational(a)));
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vars.push_back(var(y, rational(b)));
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mbo.add_constraint(vars, rational(k), rel);
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}
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static void add_ineq(opt::model_based_opt& mbo, unsigned x, int a, int k, opt::ineq_type rel) {
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vector<var> vars;
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vars.push_back(var(x, rational(a)));
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mbo.add_constraint(vars, rational(k), rel);
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}
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// test with upper bounds
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static void test1() {
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opt::model_based_opt mbo;
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typedef opt::model_based_opt::var var;
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vector<var> vars;
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unsigned x = mbo.add_var(rational(2));
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unsigned y = mbo.add_var(rational(3));
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unsigned z = mbo.add_var(rational(4));
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unsigned u = mbo.add_var(rational(5));
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vars.reset();
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vars.push_back(var(x, rational(1)));
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vars.push_back(var(y, rational(-1)));
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mbo.add_constraint(vars, rational(0), opt::t_le);
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vars.reset();
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vars.push_back(var(x, rational(1)));
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vars.push_back(var(z, rational(-1)));
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mbo.add_constraint(vars, rational(0), opt::t_le);
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vars.reset();
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vars.push_back(var(y, rational(1)));
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vars.push_back(var(u, rational(-1)));
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mbo.add_constraint(vars, rational(0), opt::t_le);
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vars.reset();
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vars.push_back(var(z, rational(1)));
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vars.push_back(var(u, rational(-1)));
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mbo.add_constraint(vars, rational(-1), opt::t_le);
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vars.reset();
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vars.push_back(var(u, rational(1)));
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mbo.add_constraint(vars, rational(4), opt::t_le);
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add_ineq(mbo, x, 1, y, -1, 0, opt::t_le);
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add_ineq(mbo, x, 1, z, -1, 0, opt::t_le);
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add_ineq(mbo, y, 1, u, -1, 0, opt::t_le);
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add_ineq(mbo, z, 1, u, -1, 1, opt::t_le);
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add_ineq(mbo, u, 1, -6, opt::t_le);
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vars.reset();
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vars.push_back(var(x, rational(2)));
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mbo.set_objective(vars, rational(0));
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rational value;
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opt::bound_type bound = mbo.maximize(value);
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opt::bound_type bound = mbo.maximize(value);
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std::cout << bound << ": " << value << "\n";
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}
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// test with lower bounds
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static void test2() {
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opt::model_based_opt mbo;
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vector<var> vars;
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unsigned x = mbo.add_var(rational(5));
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unsigned y = mbo.add_var(rational(4));
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unsigned z = mbo.add_var(rational(3));
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unsigned u = mbo.add_var(rational(2));
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add_ineq(mbo, x, -1, y, 1, 0, opt::t_le);
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add_ineq(mbo, x, -1, z, 1, 0, opt::t_le);
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add_ineq(mbo, y, -1, u, 1, 0, opt::t_le);
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add_ineq(mbo, z, -1, u, 1, 1, opt::t_le);
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add_ineq(mbo, u, -1, -6, opt::t_le);
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vars.reset();
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vars.push_back(var(x, rational(-2)));
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mbo.set_objective(vars, rational(0));
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rational value;
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opt::bound_type bound = mbo.maximize(value);
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std::cout << bound << ": " << value << "\n";
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}
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// test unbounded
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static void test3() {
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opt::model_based_opt mbo;
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vector<var> vars;
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unsigned x = mbo.add_var(rational(2));
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unsigned y = mbo.add_var(rational(3));
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unsigned z = mbo.add_var(rational(4));
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unsigned u = mbo.add_var(rational(5));
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add_ineq(mbo, x, 1, y, -1, 0, opt::t_le);
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add_ineq(mbo, x, 1, z, -1, 0, opt::t_le);
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add_ineq(mbo, y, 1, u, -1, 0, opt::t_le);
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add_ineq(mbo, z, 1, u, -1, 1, opt::t_le);
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vars.reset();
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vars.push_back(var(x, rational(2)));
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mbo.set_objective(vars, rational(0));
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rational value;
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opt::bound_type bound = mbo.maximize(value);
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std::cout << bound << ": " << value << "\n";
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}
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// test strict
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static void test4() {
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opt::model_based_opt mbo;
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vector<var> vars;
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unsigned x = mbo.add_var(rational(2));
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unsigned y = mbo.add_var(rational(3));
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unsigned z = mbo.add_var(rational(4));
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unsigned u = mbo.add_var(rational(5));
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add_ineq(mbo, x, 1, y, -1, 0, opt::t_lt);
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add_ineq(mbo, x, 1, z, -1, 0, opt::t_lt);
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add_ineq(mbo, y, 1, u, -1, 0, opt::t_le);
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add_ineq(mbo, z, 1, u, -1, 1, opt::t_le);
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add_ineq(mbo, u, 1, -6, opt::t_le);
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vars.reset();
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vars.push_back(var(x, rational(2)));
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mbo.set_objective(vars, rational(0));
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rational value;
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opt::bound_type bound = mbo.maximize(value);
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std::cout << bound << ": " << value << "\n";
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}
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// test with mix of upper and lower bounds
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void tst_model_based_opt() {
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test1();
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test2();
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test3();
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test4();
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}
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