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add defs to arith solver

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2018-06-12 12:41:01 -07:00 • committed by Arie Gurfinkel
parent 5fce4a1d1a
commit 0ae246ad2b
14 changed files with 326 additions and 225 deletions
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278
src/math/simplex/model_based_opt.cpp
View file

@ -35,11 +35,113 @@ std::ostream& operator<<(std::ostream& out, opt::ineq_type ie) {
namespace opt {
/**
* Convert a row ax + coeffs + coeff = 0 into a definition for x
* x = -(coeffs + coeff)/a
* For rows ax + coeffs + coeff < 0 convert into
* x = -(coeffs + coeff - a)/a
*/
model_based_opt::def::def(row const& r, unsigned x) {
rational c = r.get_coefficient(x);
bool is_pos = c.is_pos();
for (var const & v : r.m_vars) {
if (v.m_id != x) {
m_vars.push_back(v);
if (is_pos) m_vars.back().m_coeff.neg();
}
}
m_coeff = r.m_coeff;
if (is_pos) m_coeff.neg();
if (r.m_type == opt::t_lt) m_coeff += abs(c);
m_div = abs(c);
normalize();
SASSERT(m_div.is_pos());
}
model_based_opt::def model_based_opt::def::operator+(def const& other) const {
def result;
vector<var> const& vs1 = m_vars;
vector<var> const& vs2 = other.m_vars;
vector<var> & vs = result.m_vars;
rational c1(1), c2(1);
if (m_div != other.m_div) {
c1 = other.m_div;
c2 = m_div;
}
unsigned i = 0, j = 0;
while (i < vs1.size() || j < vs2.size()) {
unsigned v1 = UINT_MAX, v2 = UINT_MAX;
if (i < vs1.size()) v1 = vs1[i].m_id;
if (j < vs2.size()) v2 = vs2[j].m_id;
if (v1 == v2) {
vs.push_back(vs1[i]);
vs.back().m_coeff *= c1;
vs.back().m_coeff += c2 * vs2[j].m_coeff;
++i; ++j;
if (vs.back().m_coeff.is_zero()) {
vs.pop_back();
}
}
else if (v1 < v2) {
vs.push_back(vs1[i]);
vs.back().m_coeff *= c1;
}
else {
vs.push_back(vs2[j]);
vs.back().m_coeff *= c2;
}
}
result.m_div = c1*m_div;
result.m_coeff = (m_coeff*c1) + (other.m_coeff*c2);
result.normalize();
return result;
}
model_based_opt::def model_based_opt::def::operator/(rational const& r) const {
def result(*this);
result.m_div *= r;
result.normalize();
return result;
}
model_based_opt::def model_based_opt::def::operator*(rational const& n) const {
def result(*this);
for (var& v : result.m_vars) {
v.m_coeff *= n;
}
result.m_coeff *= n;
result.normalize();
return result;
}
model_based_opt::def model_based_opt::def::operator+(rational const& n) const {
def result(*this);
result.m_coeff += n * result.m_div;
result.normalize();
return result;
}
void model_based_opt::def::normalize() {
if (m_div.is_one()) return;
rational g(m_div);
g = gcd(g, m_coeff);
for (var const& v : m_vars) {
g = gcd(g, abs(v.m_coeff));
if (g.is_one()) break;
}
if (!g.is_one()) {
for (var& v : m_vars) {
v.m_coeff /= g;
}
m_coeff /= g;
m_div /= g;
}
}
model_based_opt::model_based_opt() {
m_rows.push_back(row());
}
bool model_based_opt::invariant() {
for (unsigned i = 0; i < m_rows.size(); ++i) {
@ -105,14 +207,14 @@ namespace opt {
if (find_bound(x, bound_row_index, bound_coeff, coeff.is_pos())) {
SASSERT(!bound_coeff.is_zero());
TRACE("opt", display(tout << "update: " << v << " ", objective());
for (unsigned i = 0; i < m_above.size(); ++i) {
display(tout << "resolve: ", m_rows[m_above[i]]);
for (unsigned above : m_above) {
display(tout << "resolve: ", m_rows[above]);
});
for (unsigned i = 0; i < m_above.size(); ++i) {
resolve(bound_row_index, bound_coeff, m_above[i], x);
for (unsigned above : m_above) {
resolve(bound_row_index, bound_coeff, above, x);
}
for (unsigned i = 0; i < m_below.size(); ++i) {
resolve(bound_row_index, bound_coeff, m_below[i], x);
for (unsigned below : m_below) {
resolve(bound_row_index, bound_coeff, below, x);
}
// coeff*x + objective <= ub
// a2*x + t2 <= 0
@ -151,8 +253,7 @@ namespace opt {
rational old_val = m_var2value[x];
m_var2value[x] = val;
unsigned_vector const& row_ids = m_var2row_ids[x];
for (unsigned i = 0; i < row_ids.size(); ++i) {
unsigned row_id = row_ids[i];
for (unsigned row_id : row_ids) {
rational coeff = get_coefficient(row_id, x);
if (coeff.is_zero()) {
continue;
@ -166,8 +267,7 @@ namespace opt {
void model_based_opt::update_values(unsigned_vector const& bound_vars, unsigned_vector const& bound_trail) {
for (unsigned i = bound_trail.size(); i > 0; ) {
--i;
for (unsigned i = bound_trail.size(); i-- > 0; ) {
unsigned x = bound_vars[i];
row& r = m_rows[bound_trail[i]];
rational val = r.m_coeff;
@ -222,8 +322,7 @@ namespace opt {
}
// update and check bounds for all other affected rows.
for (unsigned i = bound_trail.size(); i > 0; ) {
--i;
for (unsigned i = bound_trail.size(); i-- > 0; ) {
unsigned x = bound_vars[i];
unsigned_vector const& row_ids = m_var2row_ids[x];
for (unsigned row_id : row_ids) {
@ -243,8 +342,7 @@ namespace opt {
uint_set visited;
m_above.reset();
m_below.reset();
for (unsigned i = 0; i < row_ids.size(); ++i) {
unsigned row_id = row_ids[i];
for (unsigned row_id : row_ids) {
SASSERT(row_id != m_objective_id);
if (visited.contains(row_id)) {
continue;
@ -291,8 +389,7 @@ namespace opt {
rational model_based_opt::get_row_value(row const& r) const {
vector<var> const& vars = r.m_vars;
rational val = r.m_coeff;
for (unsigned i = 0; i < vars.size(); ++i) {
var const& v = vars[i];
for (var const& v : vars) {
val += v.m_coeff * m_var2value[v.m_id];
}
return val;
@ -300,14 +397,18 @@ namespace opt {
rational model_based_opt::get_coefficient(unsigned row_id, unsigned var_id) const {
row const& r = m_rows[row_id];
if (r.m_vars.empty()) {
return r.get_coefficient(var_id);
}
rational model_based_opt::row::get_coefficient(unsigned var_id) const {
if (m_vars.empty()) {
return rational::zero();
}
unsigned lo = 0, hi = r.m_vars.size();
unsigned lo = 0, hi = m_vars.size();
while (lo < hi) {
unsigned mid = lo + (hi - lo)/2;
SASSERT(mid < hi);
unsigned id = r.m_vars[mid].m_id;
unsigned id = m_vars[mid].m_id;
if (id == var_id) {
lo = mid;
break;
@ -319,12 +420,12 @@ namespace opt {
hi = mid;
}
}
if (lo == r.m_vars.size()) {
if (lo == m_vars.size()) {
return rational::zero();
}
unsigned id = r.m_vars[lo].m_id;
unsigned id = m_vars[lo].m_id;
if (id == var_id) {
return r.m_vars[lo].m_coeff;
return m_vars[lo].m_coeff;
}
else {
return rational::zero();
@ -386,7 +487,6 @@ namespace opt {
SASSERT(a1 == get_coefficient(row_src, x));
SASSERT(a1.is_pos());
SASSERT(row_src != row_dst);
SASSERT(m_rows[row_src].m_type == t_eq);
if (!m_rows[row_dst].m_alive) return;
rational a2 = get_coefficient(row_dst, x);
mul(row_dst, a1);
@ -593,40 +693,52 @@ namespace opt {
}
void model_based_opt::display(std::ostream& out) const {
for (unsigned i = 0; i < m_rows.size(); ++i) {
display(out, m_rows[i]);
for (auto const& r : m_rows) {
display(out, r);
}
for (unsigned i = 0; i < m_var2row_ids.size(); ++i) {
unsigned_vector const& rows = m_var2row_ids[i];
out << i << ": ";
for (unsigned j = 0; j < rows.size(); ++j) {
out << rows[j] << " ";
for (auto const& r : rows) {
out << r << " ";
}
out << "\n";
}
}
void model_based_opt::display(std::ostream& out, row const& r) const {
vector<var> const& vars = r.m_vars;
out << (r.m_alive?"+":"-") << " ";
void model_based_opt::display(std::ostream& out, vector<var> const& vars, rational const& coeff) {
for (unsigned i = 0; i < vars.size(); ++i) {
if (i > 0 && vars[i].m_coeff.is_pos()) {
out << "+ ";
}
out << vars[i].m_coeff << "* v" << vars[i].m_id << " ";
}
if (r.m_coeff.is_pos()) {
out << " + " << r.m_coeff << " ";
if (coeff.is_pos()) {
out << " + " << coeff << " ";
}
else if (r.m_coeff.is_neg()) {
out << r.m_coeff << " ";
}
else if (coeff.is_neg()) {
out << coeff << " ";
}
}
std::ostream& model_based_opt::display(std::ostream& out, row const& r) {
out << (r.m_alive?"+":"-") << " ";
display(out, r.m_vars, r.m_coeff);
if (r.m_type == opt::t_mod) {
out << r.m_type << " " << r.m_mod << " = 0; value: " << r.m_value << "\n";
}
else {
out << r.m_type << " 0; value: " << r.m_value << "\n";
}
return out;
}
std::ostream& model_based_opt::display(std::ostream& out, def const& r) {
display(out, r.m_vars, r.m_coeff);
if (!r.m_div.is_one()) {
out << " / " << r.m_div;
}
return out;
}
unsigned model_based_opt::add_var(rational const& value, bool is_int) {
@ -648,10 +760,10 @@ namespace opt {
r.m_vars.append(coeffs.size(), coeffs.c_ptr());
bool is_int_row = true;
std::sort(r.m_vars.begin(), r.m_vars.end(), var::compare());
for (unsigned i = 0; i < coeffs.size(); ++i) {
val += m_var2value[coeffs[i].m_id] * coeffs[i].m_coeff;
SASSERT(!is_int(coeffs[i].m_id) || coeffs[i].m_coeff.is_int());
is_int_row &= is_int(coeffs[i].m_id);
for (auto const& c : coeffs) {
val += m_var2value[c.m_id] * c.m_coeff;
SASSERT(!is_int(c.m_id) || c.m_coeff.is_int());
is_int_row &= is_int(c.m_id);
}
r.m_alive = true;
r.m_coeff = c;
@ -738,7 +850,7 @@ namespace opt {
// t0 <= s for each s (M inequalities).
// If N >= M the construction is symmetric.
//
void model_based_opt::project(unsigned x) {
model_based_opt::def model_based_opt::project(unsigned x, bool compute_def) {
unsigned_vector& lub_rows = m_lub;
unsigned_vector& glb_rows = m_glb;
unsigned_vector& mod_rows = m_mod;
@ -802,28 +914,41 @@ namespace opt {
}
if (!mod_rows.empty()) {
solve_mod(x, mod_rows);
return;
return solve_mod(x, mod_rows, compute_def);
}
if (eq_row != UINT_MAX) {
solve_for(eq_row, x);
return;
return solve_for(eq_row, x, compute_def);
}
def result;
unsigned lub_size = lub_rows.size();
unsigned glb_size = glb_rows.size();
unsigned row_index = (lub_size <= glb_size) ? lub_index : glb_index;
glb_rows.append(lub_rows);
// There are only upper or only lower bounds.
if (row_index == UINT_MAX) {
for (unsigned row_id : glb_rows) {
SASSERT(m_rows[row_id].m_alive);
SASSERT(!get_coefficient(row_id, x).is_zero());
retire_row(row_id);
if (compute_def) {
if (lub_index != UINT_MAX) {
result = solve_for(lub_index, x, true);
}
else if (glb_index != UINT_MAX) {
result = solve_for(glb_index, x, true);
}
}
return;
else {
for (unsigned row_id : lub_rows) retire_row(row_id);
for (unsigned row_id : glb_rows) retire_row(row_id);
}
return result;
}
SASSERT(lub_index != UINT_MAX);
SASSERT(glb_index != UINT_MAX);
if (compute_def) {
def d1(m_rows[lub_index], x);
def d2(m_rows[lub_index], x);
result = (d1 + d2)/2;
}
// The number of matching lower and upper bounds is small.
@ -832,10 +957,9 @@ namespace opt {
(!is_int(x) || lub_is_unit || glb_is_unit)) {
for (unsigned i = 0; i < lub_size; ++i) {
unsigned row_id1 = lub_rows[i];
bool last = i + 1 == lub_rows.size();
bool last = i + 1 == lub_size;
rational coeff = get_coefficient(row_id1, x);
for (unsigned j = 0; j < glb_size; ++j) {
unsigned row_id2 = glb_rows[j];
for (unsigned row_id2 : glb_rows) {
if (last) {
resolve(row_id1, coeff, row_id2, x);
}
@ -845,20 +969,25 @@ namespace opt {
}
}
}
for (unsigned i = 0; i < lub_size; ++i) {
retire_row(lub_rows[i]);
}
return;
for (unsigned row_id : lub_rows) retire_row(row_id);
return result;
}
// General case.
rational coeff = get_coefficient(row_index, x);
for (unsigned row_id : lub_rows) {
if (row_id != row_index) {
resolve(row_index, coeff, row_id, x);
}
}
for (unsigned row_id : glb_rows) {
if (row_id != row_index) {
resolve(row_index, coeff, row_id, x);
}
}
retire_row(row_index);
return result;
}
//
@ -876,7 +1005,7 @@ namespace opt {
// x := D*x' + u
//
void model_based_opt::solve_mod(unsigned x, unsigned_vector const& mod_rows) {
model_based_opt::def model_based_opt::solve_mod(unsigned x, unsigned_vector const& mod_rows, bool compute_def) {
SASSERT(!mod_rows.empty());
rational D(1);
for (unsigned idx : mod_rows) {
@ -914,7 +1043,11 @@ namespace opt {
visited.insert(row_id);
}
}
project(y);
def result = project(y, compute_def);
if (compute_def) {
result = (result * D) + u;
}
return result;
}
// update row with: x |-> C
@ -961,16 +1094,21 @@ namespace opt {
// 3x + t = 0 & 7 | (c*x + s) & ax <= u
// 3 | -t & 21 | (-ct + 3s) & a-t <= 3u
void model_based_opt::solve_for(unsigned row_id1, unsigned x) {
model_based_opt::def model_based_opt::solve_for(unsigned row_id1, unsigned x, bool compute_def) {
TRACE("opt", tout << "v" << x << "\n" << m_rows[row_id1] << "\n";);
rational a = get_coefficient(row_id1, x), b;
ineq_type ty = m_rows[row_id1].m_type;
SASSERT(!a.is_zero());
SASSERT(m_rows[row_id1].m_type == t_eq);
SASSERT(m_rows[row_id1].m_alive);
if (a.is_neg()) {
a.neg();
m_rows[row_id1].neg();
}
SASSERT(a.is_pos());
if (ty == t_lt) {
SASSERT(compute_def);
m_rows[row_id1].m_coeff += a;
}
if (m_var2is_int[x] && !a.is_one()) {
row& r1 = m_rows[row_id1];
vector<var> coeffs;
@ -983,8 +1121,7 @@ namespace opt {
visited.insert(row_id1);
for (unsigned row_id2 : row_ids) {
if (!visited.contains(row_id2)) {
visited.insert(row_id2);
visited.insert(row_id2);
b = get_coefficient(row_id2, x);
if (!b.is_zero()) {
row& dst = m_rows[row_id2];
@ -1002,14 +1139,19 @@ namespace opt {
}
}
}
// TBD: -t div a
def result(m_rows[row_id1], x);
retire_row(row_id1);
return result;
}
void model_based_opt::project(unsigned num_vars, unsigned const* vars) {
vector<model_based_opt::def> model_based_opt::project(unsigned num_vars, unsigned const* vars, bool compute_def) {
vector<def> result;
for (unsigned i = 0; i < num_vars; ++i) {
project(vars[i]);
result.push_back(project(vars[i], compute_def));
TRACE("opt", display(tout << "After projecting: v" << vars[i] << "\n"););
}
return result;
}
}

33
src/math/simplex/model_based_opt.h
View file

@ -60,6 +60,23 @@ namespace opt {
void reset() { m_vars.reset(); m_coeff.reset(); m_value.reset(); }
void neg() { for (var & v : m_vars) v.m_coeff.neg(); m_coeff.neg(); m_value.neg(); }
rational get_coefficient(unsigned x) const;
};
// A definition is a linear term of the form (vars + coeff) / div
struct def {
def(): m_div(1) {}
def(row const& r, unsigned x);
def(def const& other): m_vars(other.m_vars), m_coeff(other.m_coeff), m_div(other.m_div) {}
vector<var> m_vars;
rational m_coeff;
rational m_div;
def operator+(def const& other) const;
def operator/(unsigned n) const { return *this / rational(n); }
def operator/(rational const& n) const;
def operator*(rational const& n) const;
def operator+(rational const& n) const;
void normalize();
};
private:
@ -121,12 +138,12 @@ namespace opt {
void update_value(unsigned x, rational const& val);
void project(unsigned var);
def project(unsigned var, bool compute_def);
void solve_for(unsigned row_id, unsigned x);
void solve_mod(unsigned x, unsigned_vector const& mod_rows);
def solve_for(unsigned row_id, unsigned x, bool compute_def);
def solve_mod(unsigned x, unsigned_vector const& mod_rows, bool compute_def);
bool is_int(unsigned x) const { return m_var2is_int[x]; }
void retire_row(unsigned row_id);
@ -163,7 +180,7 @@ namespace opt {
//
// Project set of variables from inequalities.
//
void project(unsigned num_vars, unsigned const* vars);
vector<def> project(unsigned num_vars, unsigned const* vars, bool compute_def);
//
// Extract current rows (after projection).
@ -171,13 +188,17 @@ namespace opt {
void get_live_rows(vector<row>& rows);
void display(std::ostream& out) const;
void display(std::ostream& out, row const& r) const;
static std::ostream& display(std::ostream& out, row const& r);
static std::ostream& display(std::ostream& out, def const& r);
static void display(std::ostream& out, vector<var> const& vars, rational const& coeff);
};
}
std::ostream& operator<<(std::ostream& out, opt::ineq_type ie);
inline std::ostream& operator<<(std::ostream& out, opt::model_based_opt::def const& d) { return opt::model_based_opt::display(out, d); }
inline std::ostream& operator<<(std::ostream& out, opt::model_based_opt::row const& r) { return opt::model_based_opt::display(out, r); }
inline std::ostream& operator<<(std::ostream& out, opt::model_based_opt::var const v) { return out << "v" << v.m_id; }

51
src/qe/qe_arith.cpp
View file

@ -283,14 +283,29 @@ namespace qe {
typedef opt::model_based_opt::row row;
typedef vector<var> vars;
vector<def> project(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
return project(model, vars, lits, true);
}
void operator()(model& model, app_ref_vector& vars, expr_ref_vector& fmls) {
project(model, vars, fmls, false);
}
expr_ref var2expr(ptr_vector<expr> const& index2expr, var const& v) {
expr_ref t(index2expr[v.m_id], m);
if (!v.m_coeff.is_one()) {
t = a.mk_mul(a.mk_numeral(v.m_coeff, a.is_int(t)), t);
}
return t;
}
vector<def> project(model& model, app_ref_vector& vars, expr_ref_vector& fmls, bool compute_def) {
bool has_arith = false;
for (unsigned i = 0; !has_arith && i < vars.size(); ++i) {
expr* v = vars[i].get();
for (expr* v : vars) {
has_arith |= is_arith(v);
}
if (!has_arith) {
return;
return vector<def>();
}
model_evaluator eval(model);
// eval.set_model_completion(true);
@ -359,7 +374,7 @@ namespace qe {
tout << "v" << v << " " << mk_pp(index2expr[v], m) << "\n";
}
mbo.display(tout););
mbo.project(real_vars.size(), real_vars.c_ptr());
vector<opt::model_based_opt::def> defs = mbo.project(real_vars.size(), real_vars.c_ptr(), compute_def);
TRACE("qe", mbo.display(tout););
vector<row> rows;
mbo.get_live_rows(rows);
@ -419,6 +434,30 @@ namespace qe {
val = eval(t);
CTRACE("qe", !m.is_true(val), tout << "Evaluated " << t << " to " << val << "\n";);
}
vector<def> result;
if (compute_def) {
SASSERT(defs.size() == real_vars.size());
for (unsigned i = 0; i < defs.size(); ++i) {
auto const& d = defs[i];
expr* x = index2expr[real_vars[i]];
bool is_int = a.is_int(x);
expr_ref_vector ts(m);
expr_ref t(m);
for (var const& v : d.m_vars) {
ts.push_back(var2expr(index2expr, v));
}
ts.push_back(a.mk_numeral(d.m_coeff, is_int));
t = a.mk_add(ts.size(), ts.c_ptr());
if (!d.m_div.is_one() && is_int) {
t = a.mk_idiv(t, a.mk_numeral(d.m_div, is_int));
}
else if (!d.m_div.is_one() && !is_int) {
t = a.mk_div(t, a.mk_numeral(d.m_div, is_int));
}
result.push_back(def(expr_ref(x, m), t));
}
}
return result;
}
opt::inf_eps maximize(expr_ref_vector const& fmls0, model& mdl, app* t, expr_ref& ge, expr_ref& gt) {
@ -534,6 +573,10 @@ namespace qe {
(*m_imp)(model, vars, lits);
}
vector<def> arith_project_plugin::project(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
return m_imp->project(model, vars, lits);
}
bool arith_project_plugin::solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
return m_imp->solve(model, vars, lits);
}

2
src/qe/qe_arith.h
View file

@ -30,7 +30,7 @@ namespace qe {
bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
family_id get_family_id() override;
void operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
vector<def> project(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
opt::inf_eps maximize(expr_ref_vector const& fmls, model& mdl, app* t, expr_ref& ge, expr_ref& gt);
};

4
src/qe/qe_arrays.cpp
View file

@ -1419,7 +1419,9 @@ namespace qe {
);
}
vector<def> array_project_plugin::project(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
return vector<def>();
}
};

1
src/qe/qe_arrays.h
View file

@ -36,6 +36,7 @@ namespace qe {
bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects);
family_id get_family_id() override;
vector<def> project(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
};
};

3
src/qe/qe_datatypes.cpp
View file

@ -300,6 +300,9 @@ namespace qe {
return m_imp->solve(model, vars, lits);
}
vector<def> datatype_project_plugin::project(model& model, app_ref_vector& vars, expr_ref_vector& lits) {
return vector<def>();
}
family_id datatype_project_plugin::get_family_id() {
return m_imp->dt.get_family_id();

1
src/qe/qe_datatypes.h
View file

@ -35,6 +35,7 @@ namespace qe {
bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) override;
bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
family_id get_family_id() override;
vector<def> project(model& model, app_ref_vector& vars, expr_ref_vector& lits) override;
};
};

18
src/qe/qe_mbp.h
View file

@ -31,14 +31,32 @@ namespace qe {
struct cant_project {};
struct def {
expr_ref var, term;
def(expr_ref& v, expr_ref& t): var(v), term(t) {}
};
class project_plugin {
public:
virtual ~project_plugin() {}
virtual bool operator()(model& model, app* var, app_ref_vector& vars, expr_ref_vector& lits) = 0;
/**
\brief partial solver.
*/
virtual bool solve(model& model, app_ref_vector& vars, expr_ref_vector& lits) = 0;
virtual family_id get_family_id() = 0;
virtual void operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { };
/**
\brief project vars modulo model, return set of definitions for eliminated variables.
- vars in/out: returns variables that were not eliminated
- lits in/out: returns projected literals
- returns set of definitions
(TBD: in triangular form, the last definition can be substituted into definitions that come before)
*/
virtual vector<def> project(model& model, app_ref_vector& vars, expr_ref_vector& lits) = 0;
static expr_ref pick_equality(ast_manager& m, model& model, expr* t);
static void erase(expr_ref_vector& lits, unsigned& i);
static void push_back(expr_ref_vector& lits, expr* lit);

1
src/test/CMakeLists.txt
View file

@ -81,7 +81,6 @@ add_executable(test-z3
optional.cpp
parray.cpp
pb2bv.cpp
pdr.cpp
permutation.cpp
polynomial.cpp
polynorm.cpp

5
src/test/arith_rewriter.cpp
View file

@ -10,7 +10,6 @@ Copyright (c) 2015 Microsoft Corporation
#include "ast/reg_decl_plugins.h"
#include "ast/rewriter/th_rewriter.h"
#include "model/model.h"
#include "muz/pdr/pdr_util.h"
#include "parsers/smt2/smt2parser.h"
@ -53,13 +52,9 @@ void tst_arith_rewriter() {
expr_ref fml = parse_fml(m, example1);
rw(fml);
std::cout << mk_pp(fml, m) << "\n";
pdr::normalize_arithmetic(fml);
std::cout << mk_pp(fml, m) << "\n";
fml = parse_fml(m, example2);
rw(fml);
std::cout << mk_pp(fml, m) << "\n";
pdr::normalize_arithmetic(fml);
std::cout << mk_pp(fml, m) << "\n";
}

1
src/test/main.cpp
View file

@ -239,7 +239,6 @@ int main(int argc, char ** argv) {
TST(theory_pb);
TST(simplex);
TST(sat_user_scope);
TST(pdr);
TST_ARGV(ddnf);
TST(ddnf1);
TST(model_evaluator);

25
src/test/model_based_opt.cpp
View file

@ -218,6 +218,12 @@ static void test4() {
std::cout << "u: " << mbo.get_value(u) << "\n";
}
static void display_project(vector<opt::model_based_opt::def> const& defs) {
for (auto const& d : defs) {
std::cout << d << "\n";
}
}
static void test5() {
opt::model_based_opt mbo;
unsigned x = mbo.add_var(rational(2));
@ -231,13 +237,13 @@ static void test5() {
add_ineq(mbo, z, 1, u, -1, 1, opt::t_le);
unsigned vars[2] = { y, z };
mbo.project(1, vars);
display_project(mbo.project(1, vars, true));
mbo.display(std::cout);
mbo.project(1, vars);
display_project(mbo.project(1, vars, true));
mbo.display(std::cout);
mbo.project(1, vars+1);
display_project(mbo.project(1, vars+1, true));
mbo.display(std::cout);
vector<opt::model_based_opt::row> rows;
@ -263,7 +269,7 @@ static void test6() {
add_ineq(mbo, y, 1, w, -1, 1, opt::t_le);
mbo.display(std::cout);
mbo.project(1, &y);
display_project(mbo.project(1, &y, true));
mbo.display(std::cout);
}
@ -285,7 +291,7 @@ static void test7() {
add_ineq(mbo, y, 1, w, -1, 1, opt::t_lt);
mbo.display(std::cout);
mbo.project(1, &y);
display_project(mbo.project(1, &y, true));
mbo.display(std::cout);
}
@ -306,7 +312,7 @@ static void test8() {
add_ineq(mbo, y, 1, v, -1, 1, opt::t_le);
mbo.display(std::cout);
mbo.project(1, &y);
display_project(mbo.project(1, &y, true));
mbo.display(std::cout);
}
@ -327,7 +333,7 @@ static void test9() {
add_ineq(mbo, y, 1, v, -1, 1, opt::t_le);
mbo.display(std::cout);
mbo.project(1, &y);
display_project(mbo.project(1, &y, true));
mbo.display(std::cout);
}
@ -348,9 +354,9 @@ static void test10() {
add_ineq(mbo, y, 3, v, -6, 1, opt::t_le);
mbo.display(std::cout);
mbo.project(1, &y);
display_project(mbo.project(1, &y, true));
mbo.display(std::cout);
mbo.project(1, &x0);
display_project(mbo.project(1, &x0, true));
mbo.display(std::cout);
}
@ -358,7 +364,6 @@ static void test10() {
void tst_model_based_opt() {
test10();
return;
check_random_ineqs();
test1();
test2();

128
src/test/pdr.cpp
View file

@ -1,128 +0,0 @@
/*++
Copyright (c) 2015 Microsoft Corporation
--*/
#include "muz/pdr/pdr_context.h"
#include "ast/reg_decl_plugins.h"
using namespace pdr;
static expr_ref mk_state(expr_ref_vector const& states, random_gen& rand) {
expr_ref result(states.get_manager());
result = states[rand(states.size())];
return result;
}
struct test_model_search {
struct init_test {
init_test(func_decl_ref& fn) {
ast_manager& m = fn.get_manager();
reg_decl_plugins(m);
fn = m.mk_const_decl(symbol("f"), m.mk_bool_sort());
}
};
ast_manager m;
smt_params m_smt_params;
fixedpoint_params fp_params;
context ctx;
manager pm;
func_decl_ref fn;
init_test initt;
pred_transformer pt;
random_gen rand;
model_search search;
expr_ref_vector states;
test_model_search():
ctx(m_smt_params, fp_params, m),
pm(m_smt_params, 10, m),
fn(m),
initt(fn),
pt(ctx, pm, fn),
rand(10),
search(true),
states(m) {
}
void add_tree(model_node* parent, bool force_goal) {
unsigned level = parent->level();
search.add_leaf(*parent);
expr_ref state(m);
if (level > 0 && (force_goal || parent->is_goal())) {
search.remove_goal(*parent);
state = mk_state(states, rand);
add_tree(alloc(model_node, parent, state, pt, level-1), false);
state = mk_state(states, rand);
add_tree(alloc(model_node, parent, state, pt, level-1), false);
parent->check_pre_closed();
}
}
bool mutate() {
model_node* leaf = search.next();
if (!leaf) return false;
unsigned level = leaf->level();
if (level == 0) {
if (rand(2) == 0) {
leaf->display(std::cout << "backtrack to grandparent\n", 1);
search.backtrack_level(false, *leaf->parent());
}
else {
leaf->display(std::cout << "backtrack to parent\n", 1);
search.backtrack_level(false, *leaf);
}
}
else {
leaf->display(std::cout << "grow tree\n", 1);
add_tree(leaf, true);
}
return true;
}
void init() {
std::cout << "pdr state-hash search tree\n";
expr_ref state(m);
func_decl_ref fn(m);
for (unsigned i = 0; i < 10; ++i) {
std::ostringstream strm;
strm << "s" << i;
state = m.mk_const(symbol(strm.str().c_str()), m.mk_bool_sort());
fn = to_app(state)->get_decl();
states.push_back(state);
}
state = states[0].get();
unsigned level = 4;
for(unsigned n = 0; n < 100; ++n) {
state = mk_state(states, rand);
model_node* root = alloc(model_node, nullptr, state, pt, level);
search.set_root(root);
add_tree(root, false);
search.display(std::cout);
while (true) {
search.well_formed();
if (!mutate()) break;
search.display(std::cout);
}
search.reset();
//++level;
}
search.reset();
}
};
void tst_pdr() {
test_model_search test;
test.init();
}