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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2017-02-27 20:41:47 -08:00
parent ba0ec79375
commit 1c7cb87900
3 changed files with 118 additions and 120 deletions

View file

@ -27,7 +27,6 @@ namespace sat {
void local_search::init() {
best_solution.resize(num_vars() + 1, false);
constraint_slack.resize(num_constraints(), 0);
cur_solution.resize(num_vars() + 1, false);
m_index_in_unsat_stack.resize(num_constraints(), 0);
coefficient_in_ob_constraint.resize(num_vars() + 1, 0);
@ -39,22 +38,16 @@ namespace sat {
for (bool_var v = 1; v <= num_vars(); ++v) {
bool_vector is_neighbor(num_vars() + 1, false);
var_neighbor.push_back(bool_var_vector());
for (unsigned i = 0; i < m_vars[v].m_watch[true].size(); ++i) {
unsigned c = m_vars[v].m_watch[true][i];
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
bool_var w = constraint_term[c][j].var_id;
if (w == v || is_neighbor[w]) continue;
is_neighbor[w] = true;
var_neighbor.back().push_back(w);
}
}
for (unsigned i = 0; i < m_vars[v].m_watch[false].size(); ++i) {
unsigned c = m_vars[v].m_watch[false][i];
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
bool_var w = constraint_term[c][j].var_id;
if (w == v || is_neighbor[w]) continue;
is_neighbor[w] = true;
var_neighbor.back().push_back(w);
bool pol = true;
for (unsigned k = 0; k < 2; pol = !pol, k++) {
for (unsigned i = 0; i < m_vars[v].m_watch[pol].size(); ++i) {
constraint const& c = m_constraints[m_vars[v].m_watch[pol][i]];
for (unsigned j = 0; j < c.size(); ++j) {
bool_var w = c[j].var();
if (w == v || is_neighbor[w]) continue;
is_neighbor[w] = true;
var_neighbor.back().push_back(w);
}
}
}
}
@ -78,14 +71,15 @@ namespace sat {
// figure out slack, and init unsat stack
void local_search::init_slack() {
for (unsigned c = 0; c < num_constraints(); ++c) {
for (unsigned i = 0; i < constraint_term[c].size(); ++i) {
unsigned v = constraint_term[c][i].var_id;
if (cur_solution[v] == constraint_term[c][i].sense)
--constraint_slack[c];
constraint & cn = m_constraints[c];
for (unsigned i = 0; i < cn.size(); ++i) {
bool_var v = cn[i].var();
if (cur_solution[v] == is_pos(cn[i]))
--cn.m_slack;
}
// constraint_slack[c] = constraint_k[c] - true_terms_count[c];
// violate the at-most-k constraint
if (constraint_slack[c] < 0)
if (cn.m_slack < 0)
unsat(c);
}
}
@ -98,21 +92,21 @@ namespace sat {
int_vector& falsep = m_vars[v].m_watch[!is_true];
for (unsigned i = 0; i < falsep.size(); ++i) {
int c = falsep[i];
constraint& c = m_constraints[falsep[i]];
// will --slack
if (constraint_slack[c] <= 0) {
if (c.m_slack <= 0) {
dec_slack_score(v);
if (constraint_slack[c] == 0)
if (c.m_slack == 0)
dec_score(v);
}
}
for (unsigned i = 0; i < truep.size(); ++i) {
int c = truep[i];
constraint& c = m_constraints[truep[i]];
// will --true_terms_count[c]
// will ++slack
if (constraint_slack[c] <= -1) {
if (c.m_slack <= -1) {
inc_slack_score(v);
if (constraint_slack[c] == -1)
if (c.m_slack == -1)
inc_score(v);
}
}
@ -131,7 +125,10 @@ namespace sat {
}
void local_search::reinit_orig() {
constraint_slack = constraint_k;
for (unsigned i = 0; i < m_constraints.size(); ++i) {
constraint& c = m_constraints[i];
c.m_slack = c.m_k;
}
// init unsat stack
m_unsat_stack.reset();
@ -142,16 +139,14 @@ namespace sat {
// init varibale information
// variable 0 is the virtual variable
time_stamp.reserve(m_vars.size());
cscc.reserve(m_vars.size());
m_vars[0].m_score = INT_MIN;
m_vars[0].m_conf_change = false;
m_vars[0].m_slack_score = INT_MIN;
cscc[0] = 0;
time_stamp[0] = max_steps + 1;
m_vars[0].m_cscc = 0;
m_vars[0].m_time_stamp = max_steps + 1;
for (unsigned i = 1; i < m_vars.size(); ++i) {
time_stamp[i] = 0;
cscc[i] = 1;
m_vars[i].m_time_stamp = 0;
m_vars[i].m_cscc = 1;
m_vars[i].m_conf_change = true;
m_vars[i].m_in_goodvar_stack = false;
m_vars[i].m_score = 0;
@ -191,17 +186,14 @@ namespace sat {
}
void local_search::add_cardinality(unsigned sz, literal const* c, unsigned k) {
unsigned id = num_constraints();
constraint_term.push_back(svector<term>());
unsigned id = m_constraints.size();
m_constraints.push_back(constraint(k));
for (unsigned i = 0; i < sz; ++i) {
m_vars.reserve(c[i].var() + 1);
term t;
t.var_id = c[i].var();
t.sense = c[i].sign();
m_vars[t.var_id].m_watch[t.sense].push_back(id);
constraint_term[id].push_back(t);
literal t(~c[i]);
m_vars[t.var()].m_watch[is_pos(t)].push_back(id);
m_constraints.back().m_literals.push_back(t);
}
constraint_k.push_back(k);
}
local_search::local_search(solver& s) {
@ -314,7 +306,7 @@ namespace sat {
}
flipvar = pick_var();
flip(flipvar);
time_stamp[flipvar] = step;
m_vars[flipvar].m_time_stamp = step;
}
if (tries % 10 == 0) {
// take a look at watch
@ -344,7 +336,7 @@ namespace sat {
// already changed truth value!!!!
cur_solution[flipvar] = !cur_solution[flipvar];
unsigned v, c;
unsigned v;
int org_flipvar_score = score(flipvar);
int org_flipvar_slack_score = slack_score(flipvar);
@ -354,37 +346,37 @@ namespace sat {
// update related clauses and neighbor vars
for (unsigned i = 0; i < truep.size(); ++i) {
c = truep[i];
constraint & c = m_constraints[truep[i]];
//++true_terms_count[c];
--constraint_slack[c];
switch (constraint_slack[c]) {
--c.m_slack;
switch (c.m_slack) {
case -2: // from -1 to -2
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
v = constraint_term[c][j].var_id;
for (unsigned j = 0; j < c.size(); ++j) {
v = c[j].var();
// flipping the slack increasing var will no long sat this constraint
if (cur_solution[v] == constraint_term[c][j].sense) {
if (cur_solution[v] == is_pos(c[j])) {
//score[v] -= constraint_weight[c];
dec_score(v);
}
}
break;
case -1: // from 0 to -1: sat -> unsat
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
v = constraint_term[c][j].var_id;
++cscc[v];
for (unsigned j = 0; j < c.size(); ++j) {
v = c[j].var();
inc_cscc(v);
//score[v] += constraint_weight[c];
inc_score(v);
// slack increasing var
if (cur_solution[v] == constraint_term[c][j].sense)
if (cur_solution[v] == is_pos(c[j]))
inc_slack_score(v);
}
unsat(c);
unsat(truep[i]);
break;
case 0: // from 1 to 0
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
v = constraint_term[c][j].var_id;
for (unsigned j = 0; j < c.size(); ++j) {
v = c[j].var();
// flip the slack decreasing var will falsify this constraint
if (cur_solution[v] != constraint_term[c][j].sense) {
if (cur_solution[v] != is_pos(c[j])) {
//score[v] -= constraint_weight[c];
dec_score(v);
dec_slack_score(v);
@ -396,15 +388,15 @@ namespace sat {
}
}
for (unsigned i = 0; i < falsep.size(); ++i) {
c = falsep[i];
constraint& c = m_constraints[falsep[i]];
//--true_terms_count[c];
++constraint_slack[c];
switch (constraint_slack[c]) {
++c.m_slack;
switch (c.m_slack) {
case 1: // from 0 to 1
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
v = constraint_term[c][j].var_id;
for (unsigned j = 0; j < c.size(); ++j) {
v = c[j].var();
// flip the slack decreasing var will no long falsify this constraint
if (cur_solution[v] != constraint_term[c][j].sense) {
if (cur_solution[v] != is_pos(c[j])) {
//score[v] += constraint_weight[c];
inc_score(v);
inc_slack_score(v);
@ -412,22 +404,22 @@ namespace sat {
}
break;
case 0: // from -1 to 0: unsat -> sat
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
v = constraint_term[c][j].var_id;
++cscc[v];
for (unsigned j = 0; j < c.size(); ++j) {
v = c[j].var();
inc_cscc(v);
//score[v] -= constraint_weight[c];
dec_score(v);
// slack increasing var no longer sat this var
if (cur_solution[v] == constraint_term[c][j].sense)
if (cur_solution[v] == is_pos(c[j]))
dec_slack_score(v);
}
sat(c);
sat(falsep[i]);
break;
case -1: // from -2 to -1
for (unsigned j = 0; j < constraint_term[c].size(); ++j) {
v = constraint_term[c][j].var_id;
for (unsigned j = 0; j < c.size(); ++j) {
v = c[j].var();
// flip the slack increasing var will satisfy this constraint
if (cur_solution[v] == constraint_term[c][j].sense) {
if (cur_solution[v] == is_pos(c[j])) {
//score[v] += constraint_weight[c];
inc_score(v);
}
@ -440,9 +432,8 @@ namespace sat {
m_vars[flipvar].m_score = -org_flipvar_score;
m_vars[flipvar].m_slack_score = -org_flipvar_slack_score;
m_vars[flipvar].m_conf_change = false;
cscc[flipvar] = 0;
m_vars[flipvar].m_cscc = 0;
/* update CCD */
// remove the vars no longer goodvar in goodvar stack
@ -483,7 +474,7 @@ namespace sat {
((v_imp == b_imp) &&
((conf_change(v) && !conf_change(best_var)) ||
((conf_change(v) == conf_change(best_var)) &&
(time_stamp[v] < time_stamp[best_var]))));
(time_stamp(v) < time_stamp(best_var)))));
}
bool local_search::tie_breaker_ccd(bool_var v, bool_var best_var) {
@ -496,13 +487,13 @@ namespace sat {
((score(v) == score(best_var)) &&
((slack_score(v) > slack_score(best_var)) ||
((slack_score(v) == slack_score(best_var)) &&
((cscc[v] > cscc[best_var]) ||
((cscc[v] == cscc[best_var]) &&
(time_stamp[v] < time_stamp[best_var])))))));
((cscc(v) > cscc(best_var)) ||
((cscc(v) == cscc(best_var)) &&
(time_stamp(v) < time_stamp(best_var))))))));
}
bool_var local_search::pick_var() {
int c, v;
int v;
bool_var best_var = 0;
// SAT Mode
@ -530,12 +521,12 @@ namespace sat {
}
// Diversification Mode
c = m_unsat_stack[rand() % m_unsat_stack.size()]; // a random unsat constraint
constraint const& c = m_constraints[m_unsat_stack[rand() % m_unsat_stack.size()]]; // a random unsat constraint
// Within c, from all slack increasing var, choose the oldest one
unsigned c_size = constraint_term[c].size();
unsigned c_size = c.size();
for (unsigned i = 0; i < c_size; ++i) {
v = constraint_term[c][i].var_id;
if (cur_solution[v] == constraint_term[c][i].sense && time_stamp[v] < time_stamp[best_var])
v = c[i].var();
if (cur_solution[v] == is_pos(c[i]) && time_stamp(v) < time_stamp(best_var))
best_var = v;
}
return best_var;

View file

@ -56,13 +56,13 @@ namespace sat {
// data structure for a term in objective function
struct ob_term {
bool_var var_id; // variable id, begin with 1
bool_var var_id; // variable id, begin with 1
int coefficient; // non-zero integer
};
// data structure for a term in constraint
struct term {
bool_var var_id; // variable id, begin with 1
bool_var var_id; // variable id, begin with 1
bool sense; // 1 for positive, 0 for negative
//int coefficient; // all constraints are cardinality: coefficient=1
};
@ -70,25 +70,17 @@ namespace sat {
// objective function: maximize
svector<ob_term> ob_constraint; // the objective function *constraint*, sorted in decending order
// terms arrays
vector<svector<term> > constraint_term; // constraint_term[i][j] means the j'th term of constraint i
// parameters of the instance
unsigned num_vars() const { return m_vars.size() - 1; } // var index from 1 to num_vars
unsigned num_constraints() const { return constraint_term.size(); } // constraint index from 1 to num_constraint
// information about the variable
int_vector coefficient_in_ob_constraint; // initialized to be 0
// int_vector sscore; // slack score
struct var_info {
bool m_conf_change; // whether its configure changes since its last flip
bool m_in_goodvar_stack;
int m_score;
int m_slack_score;
int m_time_stamp; // the flip time stamp
int m_cscc; // how many times its constraint state configure changes since its last flip
int_vector m_watch[2];
var_info():
m_conf_change(true),
@ -109,17 +101,42 @@ namespace sat {
inline bool already_in_goodvar_stack(unsigned v) const { return m_vars[v].m_in_goodvar_stack; }
inline bool conf_change(unsigned v) const { return m_vars[v].m_conf_change; }
inline int time_stamp(bool_var v) const { return m_vars[v].m_time_stamp; }
inline int cscc(bool_var v) const { return m_vars[v].m_cscc; }
inline void inc_cscc(bool_var v) { m_vars[v].m_cscc++; }
unsigned num_vars() const { return m_vars.size() - 1; } // var index from 1 to num_vars
int_vector time_stamp; // the flip time stamp
int_vector cscc; // how many times its constraint state configure changes since its last flip
vector<bool_var_vector> var_neighbor; // all of its neighborhoods variable
/* TBD: other scores */
struct constraint {
unsigned m_k;
int m_slack;
svector<literal> m_literals;
constraint(unsigned k) : m_k(k), m_slack(0) {}
unsigned size() const { return m_literals.size(); }
literal const& operator[](unsigned idx) const { return m_literals[idx]; }
};
vector<constraint> m_constraints;
// terms arrays
// vector<svector<term> > constraint_term; // constraint_term[i][j] means the j'th term of constraint i
inline bool is_pos(literal t) const { return !t.sign(); }
// parameters of the instance
unsigned num_constraints() const { return m_constraints.size(); } // constraint index from 1 to num_constraint
// information about the constraints
int_vector constraint_k; // the right side k of a constraint
int_vector constraint_slack; // =constraint_k[i]-true_terms[i], if >=0 then sat
//int_vector nb_slack; // constraint_k - ob_var(same in ob) - none_ob_true_terms_count. if < 0: some ob var might be flipped to false, result in an ob decreasing
//bool_vector has_true_ob_terms;
// int_vector constraint_k; // the right side k of a constraint
// int_vector constraint_slack; // =constraint_k[i]-true_terms[i], if >=0 then sat
// int_vector nb_slack; // constraint_k - ob_var(same in ob) - none_ob_true_terms_count. if < 0: some ob var might be flipped to false, result in an ob decreasing
// bool_vector has_true_ob_terms;
// unsat constraint stack
int_vector m_unsat_stack; // store all the unsat constraits
@ -129,28 +146,26 @@ namespace sat {
int_vector goodvar_stack;
// information about solution
bool_vector cur_solution; // the current solution
int objective_value; // the objective function value corresponds to the current solution
bool_vector best_solution; // the best solution so far
bool_vector cur_solution; // the current solution
int objective_value; // the objective function value corresponds to the current solution
bool_vector best_solution; // the best solution so far
int best_objective_value = -1; // the objective value corresponds to the best solution so far
// for non-known instance, set as maximal
int best_known_value = INT_MAX; // best known value for this instance
int best_known_value = INT_MAX; // best known value for this instance
// cutoff
int cutoff_time = 1; // seconds
unsigned max_steps = 2000000000; // < 2147483647
int cutoff_time = 1; // seconds
unsigned max_steps = 2000000000; // < 2147483647
clock_t start, stop;
double best_time;
// for tuning
int s_id = 0; // strategy id
int s_id = 0; // strategy id
void init();
void reinit();
void reinit_orig();
void init_cur_solution();
void init_slack();
void init_scores();

View file

@ -1099,14 +1099,6 @@ namespace sat {
bool inconsistent() { return m_inconsistent; }
void select_variables(literal_vector& P) {
for (unsigned i = 0; i < s.num_vars(); ++i) {
if (value(literal(i,false)) == l_undef) {
P.push_back(literal(i, false));
}
}
}
void do_double(literal l) {
if (!inconsistent() && scope_lvl() > 0 && dl_enabled(l)) {
if (get_wnb(l) > m_delta_trigger) {