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adding nra

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2017-05-24 17:24:36 -07:00
parent 7a809fe4f0
commit b18dc7d052
6 changed files with 61 additions and 22 deletions

View file

@ -36,7 +36,7 @@ def_module_params(module_name='smt',
('bv.reflect', BOOL, True, 'create enode for every bit-vector term'),
('bv.enable_int2bv', BOOL, True, 'enable support for int2bv and bv2int operators'),
('arith.random_initial_value', BOOL, False, 'use random initial values in the simplex-based procedure for linear arithmetic'),
('arith.solver', UINT, 2, 'arithmetic solver: 0 - no solver, 1 - bellman-ford based solver (diff. logic only), 2 - simplex based solver, 3 - floyd-warshall based solver (diff. logic only) and no theory combination'),
('arith.solver', UINT, 2, 'arithmetic solver: 0 - no solver, 1 - bellman-ford based solver (diff. logic only), 2 - simplex based solver, 3 - floyd-warshall based solver (diff. logic only) and no theory combination 4 - utvpi, 5 - infinitary lra, 6 - lra solver'),
('arith.nl', BOOL, True, '(incomplete) nonlinear arithmetic support based on Groebner basis and interval propagation'),
('arith.nl.gb', BOOL, True, 'groebner Basis computation, this option is ignored when arith.nl=false'),
('arith.nl.branching', BOOL, True, 'branching on integer variables in non linear clusters'),

View file

@ -23,12 +23,13 @@ Revision History:
#include"params.h"
enum arith_solver_id {
AS_NO_ARITH,
AS_DIFF_LOGIC,
AS_ARITH,
AS_DENSE_DIFF_LOGIC,
AS_UTVPI,
AS_OPTINF
AS_NO_ARITH, // 0
AS_DIFF_LOGIC, // 1
AS_ARITH, // 2
AS_DENSE_DIFF_LOGIC, // 3
AS_UTVPI, // 4
AS_OPTINF, // 5
AS_LRA // 6
};
enum bound_prop_mode {

View file

@ -724,8 +724,6 @@ namespace smt {
}
void setup::setup_r_arith() {
// to disable theory lra
// m_context.register_plugin(alloc(smt::theory_mi_arith, m_manager, m_params));
m_context.register_plugin(alloc(smt::theory_lra, m_manager, m_params));
}
@ -789,6 +787,9 @@ namespace smt {
case AS_OPTINF:
m_context.register_plugin(alloc(smt::theory_inf_arith, m_manager, m_params));
break;
case AS_LRA:
setup_r_arith();
break;
default:
if (m_params.m_arith_int_only && int_only)
m_context.register_plugin(alloc(smt::theory_i_arith, m_manager, m_params));

View file

@ -366,6 +366,14 @@ namespace smt {
terms[index] = n1;
st.terms_to_internalize().push_back(n2);
}
else if (a.is_mul(n)) {
theory_var v;
internalize_mul(to_app(n), v, r);
coeffs[index] *= r;
coeffs[vars.size()] = coeffs[index];
vars.push_back(v);
++index;
}
else if (a.is_numeral(n, r)) {
coeff += coeffs[index]*r;
++index;
@ -415,10 +423,13 @@ namespace smt {
}
}
void internalize_mul(app* t) {
void internalize_mul(app* t, theory_var& v, rational& r) {
SASSERT(a.is_mul(t));
internalize_args(t);
mk_enode(t);
theory_var v = mk_var(t);
r = rational::one();
rational r1;
v = mk_var(t);
svector<lean::var_index> vars;
ptr_vector<expr> todo;
todo.push_back(t);
@ -430,6 +441,9 @@ namespace smt {
todo.push_back(n1);
todo.push_back(n2);
}
else if (a.is_numeral(n, r1)) {
r *= r1;
}
else {
if (!ctx().e_internalized(n)) {
ctx().internalize(n, false);
@ -437,7 +451,7 @@ namespace smt {
vars.push_back(get_var_index(mk_var(n)));
}
}
// m_solver->add_monomial(get_var_index(v), vars);
m_solver->add_monomial(get_var_index(v), vars);
}
enode * mk_enode(app * n) {
@ -1245,7 +1259,7 @@ namespace smt {
lbool check_nra() {
if (m.canceled()) return l_undef;
return l_true;
// return l_true;
// TBD:
switch (m_solver->check_nra(m_variable_values, m_explanation)) {
case lean::final_check_status::DONE:

View file

@ -21,8 +21,8 @@ namespace nra {
u_map<polynomial::var> m_lp2nl; // map from lar_solver variables to nlsat::solver variables
struct mon_eq {
mon_eq(lean::var_index v, svector<lean::var_index> const& vs):
m_v(v), m_vs(vs) {}
mon_eq(lean::var_index v, unsigned sz, lean::var_index const* vs):
m_v(v), m_vs(sz, vs) {}
lean::var_index m_v;
svector<lean::var_index> m_vs;
};
@ -44,14 +44,14 @@ namespace nra {
}
switch (check_nlsat(m, ex)) {
case l_undef: return lean::final_check_status::GIVEUP;
case l_true: lean::final_check_status::DONE;
case l_false: lean::final_check_status::UNSAT;
case l_true: return lean::final_check_status::DONE;
case l_false: return lean::final_check_status::UNSAT;
}
return lean::final_check_status::DONE;
}
void add(lean::var_index v, unsigned sz, lean::var_index const* vs) {
m_monomials.push_back(mon_eq(v, svector<lean::var_index>(sz, vs)));
m_monomials.push_back(mon_eq(v, sz, vs));
}
void push() {
@ -60,7 +60,6 @@ namespace nra {
void pop(unsigned n) {
if (n == 0) return;
SASSERT(n < m_lim.size());
m_monomials.shrink(m_lim[m_lim.size() - n]);
m_lim.shrink(m_lim.size() - n);
}
@ -112,7 +111,9 @@ namespace nra {
}
// TBD: add variable bounds?
lbool r = solver.check();
TRACE("arith", solver.display(tout << r << "\n"););
switch (r) {
case l_true: {
nlsat::anum_manager& am = solver.am();
@ -143,6 +144,7 @@ namespace nra {
for (auto c : core) {
unsigned idx = static_cast<unsigned>(static_cast<imp*>(c) - this);
ex.push_back(std::pair<rational, unsigned>(rational(1), idx));
TRACE("arith", tout << "ex: " << idx << "\n";);
}
break;
}
@ -172,12 +174,12 @@ namespace nra {
}
void add_constraint(nlsat::solver& solver, unsigned idx) {
lean::lar_base_constraint const& c = s.get_constraint(idx);
polynomial::manager& pm = solver.pm();
auto& c = s.get_constraint(idx);
auto& pm = solver.pm();
auto k = c.m_kind;
auto rhs = c.m_right_side;
auto lhs = c.get_left_side_coefficients();
unsigned sz = lhs.size();
auto sz = lhs.size();
svector<polynomial::var> vars;
rational den = denominator(rhs);
for (auto kv : lhs) {
@ -229,6 +231,17 @@ namespace nra {
return r;
}
std::ostream& display(std::ostream& out) const {
for (auto m : m_monomials) {
out << "v" << m.m_v << " = ";
for (auto v : m.m_vs) {
out << "v" << v << " ";
}
out << "\n";
}
return out;
}
};
solver::solver(lean::lar_solver& s) {
@ -254,4 +267,9 @@ namespace nra {
void solver::pop(unsigned n) {
m_imp->pop(n);
}
std::ostream& solver::display(std::ostream& out) const {
return m_imp->display(out);
}
}

View file

@ -42,5 +42,10 @@ namespace nra {
void push();
void pop(unsigned n);
/*
\brief display state
*/
std::ostream& display(std::ostream& out) const;
};
}