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model based opt dev

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2016-04-28 09:47:55 -07:00
parent 83d84dcedd
commit 932ef442ae
3 changed files with 239 additions and 133 deletions

View file

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