int rp_operator_newton::reduce(rp_box b)
{
bool proof = true;
for (int i=0; i<_arity; ++i)
{
int v = _v[i];
rp_interval aux, save;
rp_interval_add(aux,rp_ivector_elem(_unknown,i),rp_box_elem(_midpoint,v));
rp_interval_copy(save,rp_box_elem(b,v));
if (!(rp_interval_strictly_included(aux,save))) proof = false;
rp_interval_inter(rp_box_elem(b,v),save,aux);
if (rp_interval_empty(rp_box_elem(b,v)))
{
return( 0 );
}
}
if (proof) rp_box_set_safe(b);
return( 1 );
}
void rp_operator_newton::compute_midpoint(rp_box b)
{
for (int i=0; i<_arity; ++i)
{
rp_interval_set_point(rp_box_elem(_midpoint,_v[i]),
rp_interval_midpoint(rp_box_elem(b,_v[i])));
}
}
void rp_operator_newton::compute_unknown(rp_box b)
{
for (int i=0; i<_arity; ++i)
{
rp_interval_sub(rp_ivector_elem(_unknown,i),
rp_box_elem(b,_v[i]),
rp_box_elem(_midpoint,_v[i]));
}
}
// Application function
// b(x) := hull (b(x) inter initial_domain)
int rp_operator_domain::apply(rp_box b)
{
DREAL_LOG_DEBUG << "rp_operator_domain::apply";
/* Rounding for discrete variables */
if (rp_variable_integer(_x))
{
rp_interval_trunc(rp_box_elem(b,_id));
if (rp_interval_empty(rp_box_elem(b,_id)))
{
return( 0 );
}
}
/* Intersection with initial domain */
return( rp_union_inter_iu(rp_box_elem(b,_id),rp_variable_domain(_x)) );
}
// Application of operator to reduce the box b
int rp_operator_piecewise::apply(rp_box b)
{
DREAL_LOG_DEBUG << "rp_operator_piecewise::apply";
// Check each piece Ij:Cj, if Cj violated then the elements of Ij
// are removed from the domain of the main variable of _c
for (int i=0; i<rp_ctr_piecewise_arity(_c); ++i)
{
int violated = 0, j = 0;
while ((!violated) && (j<rp_ctr_piecewise_elem_size(_c,i)))
{
if (rp_ctr_num_unfeasible(rp_ctr_piecewise_elem_ctrnum(_c,i,j),b))
{
violated = 1;
}
else ++j;
}
if (violated)
{
// domain restriction dom(var) := dom(var) \ Ij
rp_interval aux;
rp_interval_copy(aux,rp_box_elem(b,rp_ctr_piecewise_var(_c)));
rp_interval_setminus(rp_box_elem(b,rp_ctr_piecewise_var(_c)),
aux,
rp_ctr_piecewise_elem_dom(_c,i));
if (rp_interval_empty(rp_box_elem(b,rp_ctr_piecewise_var(_c))))
{
return( 0 );
}
}
}
// Check whether the domain of the main variable of _c
// intersects at least one Ij
int intersect = 0, i = 0;
while ((!intersect) && (i<rp_ctr_piecewise_arity(_c)))
{
if (!rp_interval_disjoint(rp_box_elem(b,rp_ctr_piecewise_var(_c)),
rp_ctr_piecewise_elem_dom(_c,i)))
{
intersect = 1;
}
else ++i;
}
return( intersect );
}
void pprint_vars(FILE* out, rp_problem p, rp_box b)
{
for(int i = 0; i < rp_problem_nvar(p); i++)
{
fprintf(out, "%s", rp_variable_name(rp_problem_var(p, i)));
fprintf(out, " is in: ");
interval_cout_local(rp_box_elem(b,i), 6, RP_INTERVAL_MODE_BOUND);
if (i != rp_problem_nvar(p) - 1)
fprintf(out, ";");
fprintf(out, "\n");
}
}
// Application of operator to reduce the box b
int rp_operator_condvar::apply(rp_box b)
{
DREAL_LOG_DEBUG << "rp_operator_condvar::apply";
// check whether the guard is certainly satisfied
if (rp_interval_included(rp_box_elem(b,_v),_dom))
{
return( _o->apply(b) );
}
else
{
return( 1 );
}
}
// Application of operator to reduce the box b
int rp_operator_3b::apply(rp_box b)
{
DREAL_LOG_DEBUG << "rp_operator_3b::apply";
// domain to be reduced
double u = rp_binf(rp_box_elem(b,_v));
double v = rp_bsup(rp_box_elem(b,_v));
double x;
// Reduction of left bound [a,x]
RP_ROUND_UPWARD();
x = u + _improve * (v-u);
if (x>=v)
{
// reduction of whole domain
return _o->apply(b);
}
else
{
rp_box_copy(_baux,b);
rp_bsup(rp_box_elem(_baux,_v)) = x;
if (!_o->apply(_baux))
{
rp_binf(rp_box_elem(b,_v)) = x;
}
}
// Reduction of right bound [x,b]
RP_ROUND_DOWNWARD();
x = v - _improve * (v-u);
rp_box_copy(_baux,b);
rp_binf(rp_box_elem(_baux,_v)) = x;
if (!_o->apply(_baux))
{
rp_bsup(rp_box_elem(b,_v)) = x;
}
return( !(rp_interval_empty(rp_box_elem(b,_v))) );
}
void rp_splitter_time::apply(rp_box_set& bs, int var) {
rp_interval i1, i2;
rp_box b1 = bs.remove_insert();
this->observe(b1, var);
rp_box b2 = bs.insert(b1);
if (quick_split_vars[&b1] == NULL){
quick_split_vars[&b1] = new std::set<int>();
}
quick_split_vars[&b2] = new std::set<int>(*quick_split_vars[&b1]);
if (is_time_variable(var) && !did_quick_split(&b1, var)){
if (this->real_hole(rp_box_elem(b1, var),
rp_variable_domain(rp_problem_var(*_problem, var)),
i1, i2)){
rp_interval_copy(rp_box_elem(b1, var), i1);
rp_interval_copy(rp_box_elem(b2, var), i2);
} else {
// std::cout << "TIME SPLIT" << std::endl;
rp_interval &vi = rp_box_elem(b1, var);
double split = std::min(rp_binf(vi) + precision, rp_split_point(rp_binf(vi), rp_bsup(vi), 1000, 1));
// Real variable: [a,b] --> [center,b] and [a,center]
rp_binf(rp_box_elem(b1, var)) =
rp_bsup(rp_box_elem(b2, var)) =
split;
quick_split_vars[&b1]->insert(var);
quick_split_vars[&b2]->insert(var);
// rp_interval_midpoint(rp_box_elem(b1,var));
}
} else if (rp_variable_integer(rp_problem_var(*_problem, var))){
if (this->integer_hole(rp_box_elem(b1, var),
rp_variable_domain(rp_problem_var(*_problem, var)),
i1, i2)) {
rp_interval_copy(rp_box_elem(b1, var), i1);
rp_interval_copy(rp_box_elem(b2, var), i2);
} else { // no hole found
// Integer variable: [a,b] --> [a+1,b] and [a,a]
++rp_binf(rp_box_elem(b1, var));
rp_bsup(rp_box_elem(b2, var)) = rp_binf(rp_box_elem(b2, var));
}
} else {
if (this->real_hole(rp_box_elem(b1, var),
rp_variable_domain(rp_problem_var(*_problem, var)),
i1, i2)) {
rp_interval_copy(rp_box_elem(b1, var), i1);
rp_interval_copy(rp_box_elem(b2, var), i2);
} else {
// Real variable: [a,b] --> [center,b] and [a,center]
rp_binf(rp_box_elem(b1, var)) =
rp_bsup(rp_box_elem(b2, var)) =
rp_interval_midpoint(rp_box_elem(b1, var));
}
}
}
void rp_splitter_mixed_hybrid::apply(rp_box_set& bs, int var) {
rp_interval i1, i2;
rp_box b1 = bs.remove_insert();
this->observe(b1, var);
rp_box b2 = bs.insert(b1);
rp_box b1_copy;
rp_box_clone(&b1_copy, b1);
rp_box suggestion = m_ode_sim_heuristic->sim(b1_copy, var);
DREAL_LOG_DEBUG << "rp_splitter_mixed_hybrid::apply() "
<< "suggestion = " << var << " [" << rp_binf(rp_box_elem(suggestion, var)) << ", "
<< rp_bsup(rp_box_elem(suggestion, var))
<< "]";
if (rp_variable_integer(rp_problem_var(*_problem, var))) {
if (this->integer_hole(rp_box_elem(b1, var),
rp_variable_domain(rp_problem_var(*_problem, var)),
i1, i2)){
if (rp_interval_included(i1, rp_box_elem(suggestion, var))){
rp_interval_copy(rp_box_elem(b1, var), i1);
rp_interval_copy(rp_box_elem(b2, var), i2);
} else{
rp_interval_copy(rp_box_elem(b1, var), i2);
rp_interval_copy(rp_box_elem(b2, var), i1);
}
} else { // no hole found
++rp_binf(rp_box_elem(b1, var));
if (rp_interval_included(rp_box_elem(b1, var), rp_box_elem(suggestion, var))){
// Integer variable: [a,b] --> [a+1,b] and [a,a]
rp_bsup(rp_box_elem(b2, var)) = rp_binf(rp_box_elem(b2, var));
} else {
--rp_binf(rp_box_elem(b1, var));
++rp_binf(rp_box_elem(b2, var));
rp_bsup(rp_box_elem(b1, var)) = rp_binf(rp_box_elem(b1, var));
}
}
} else {
if (this->real_hole(rp_box_elem(b1, var),
rp_variable_domain(rp_problem_var(*_problem, var)),
i1, i2)) {
if (rp_interval_included(i1, rp_box_elem(suggestion, var))){
rp_interval_copy(rp_box_elem(b1, var), i1);
rp_interval_copy(rp_box_elem(b2, var), i2);
} else {
rp_interval_copy(rp_box_elem(b1, var), i2);
rp_interval_copy(rp_box_elem(b2, var), i1);
}
} else {
// Real variable: [a,b] --> [center,b] and [a,center]
double mid = rp_interval_midpoint(rp_box_elem(b1, var));
rp_binf(rp_box_elem(b1, var)) =
rp_bsup(rp_box_elem(b2, var)) =
mid;
double b1Intersection =
std::min(rp_bsup(rp_box_elem(b1, var)), rp_bsup(rp_box_elem(suggestion, var))) -
std::max(rp_binf(rp_box_elem(b1, var)), rp_binf(rp_box_elem(suggestion, var)));
double b2Intersection =
std::min(rp_bsup(rp_box_elem(b2, var)), rp_bsup(rp_box_elem(suggestion, var))) -
std::max(rp_binf(rp_box_elem(b2, var)), rp_binf(rp_box_elem(suggestion, var)));
if (b2Intersection > b1Intersection
// rp_interval_included(rp_box_elem(suggestion, var), rp_box_elem(b2, var))
){
// okay
DREAL_LOG_DEBUG << "rp_splitter_mixed_hybrid::apply() "
<< "*[" << rp_binf(rp_box_elem(b2, var)) << ", " << rp_bsup(rp_box_elem(b2, var))
<< "]* [" << rp_binf(rp_box_elem(b1, var)) << ", " << rp_bsup(rp_box_elem(b1, var))
<< "]";
// cout << "*[" << rp_binf(rp_box_elem(b2, var)) << ", " << rp_bsup(rp_box_elem(b2, var))
// << "]* [" << rp_binf(rp_box_elem(b1, var)) << ", " << rp_bsup(rp_box_elem(b1, var))
// << "] \t";
} else if (b2Intersection < b1Intersection){
// rp_interval_included(rp_box_elem(suggestion, var), rp_box_elem(b1, var))){
// reverse
double b2_sup = rp_bsup(rp_box_elem(b1, var));
rp_binf(rp_box_elem(b1, var)) = rp_binf(rp_box_elem(b2, var));
rp_bsup(rp_box_elem(b1, var)) = mid;
rp_binf(rp_box_elem(b2, var)) = mid;
rp_bsup(rp_box_elem(b2, var)) = b2_sup;
DREAL_LOG_DEBUG << "rp_splitter_mixed_hybrid::apply() "
<< "[" << rp_binf(rp_box_elem(b1, var)) << ", " << rp_bsup(rp_box_elem(b1, var))
<< "] *[" << rp_binf(rp_box_elem(b2, var)) << ", " << rp_bsup(rp_box_elem(b2, var))
<< "]*";
// cout << "[" << rp_binf(rp_box_elem(b1, var)) << ", " << rp_bsup(rp_box_elem(b1, var))
// << "] *[" << rp_binf(rp_box_elem(b2, var)) << ", " << rp_bsup(rp_box_elem(b2, var))
// << "]* \t";
} else {
DREAL_LOG_DEBUG << "rp_splitter_mixed_hybrid::apply() suggestion not found";
DREAL_LOG_DEBUG << "rp_splitter_mixed_hybrid::apply() "
<< "-[" << rp_binf(rp_box_elem(b2, var)) << ", " << rp_bsup(rp_box_elem(b2, var))
<< "]- [" << rp_binf(rp_box_elem(b1, var)) << ", " << rp_bsup(rp_box_elem(b1, var))
<< "]";
// cout << "-[" << rp_binf(rp_box_elem(b2, var)) << ", " << rp_bsup(rp_box_elem(b2, var))
// << "]- [" << rp_binf(rp_box_elem(b1, var)) << ", " << rp_bsup(rp_box_elem(b1, var))
// << "] \t";
}
}
}
rp_box_destroy(&b1_copy);
}
