* src/tgbaalgos/magic.cc: rewrite to externalize the heap and
prepare it to a bit state hashing version. * src/tgbaalgos/magic.hh: adapt to the new interface of magic_search and se05_search. * src/tgbaalgos/se05.cc: new file. * src/tgbaalgos/Makefile.am: Add it. * src/tgbatest/ltl2tgba.cc: Add new emptiness check. * src/tgbatest/emptchk.test: more tests. * src/tgbatest/dfs.test: new file. * src/tgbatest/Makefile.am: Add it.
This commit is contained in:
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9 changed files with 1226 additions and 254 deletions
483
src/tgbaalgos/se05.cc
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483
src/tgbaalgos/se05.cc
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// Copyright (C) 2003, 2004 Laboratoire d'Informatique de Paris 6 (LIP6),
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// département Systèmes Répartis Coopératifs (SRC), Université Pierre
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// et Marie Curie.
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//
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// This file is part of Spot, a model checking library.
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//
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// Spot is free software; you can redistribute it and/or modify it
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// under the terms of the GNU General Public License as published by
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// the Free Software Foundation; either version 2 of the License, or
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// (at your option) any later version.
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//
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// Spot is distributed in the hope that it will be useful, but WITHOUT
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// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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// or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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// License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with Spot; see the file COPYING. If not, write to the Free
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// Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA
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// 02111-1307, USA.
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#include <iostream>
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#include "misc/hash.hh"
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#include <list>
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#include <iterator>
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#include <cassert>
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#include "magic.hh"
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namespace spot
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{
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namespace
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{
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enum color {WHITE, CYAN, BLUE, RED};
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/// \brief Emptiness checker on spot::tgba automata having at most one
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/// accepting condition (i.e. a TBA).
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template <typename heap>
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class se05_search : public emptiness_check
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{
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public:
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/// \brief Initialize the Magic Search algorithm on the automaton \a a
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///
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/// \pre The automaton \a a must have at most one accepting
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/// condition (i.e. it is a TBA).
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se05_search(const tgba *a)
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: current_weight(0), a(a), all_cond(a->all_acceptance_conditions())
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{
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assert(a->number_of_acceptance_conditions() <= 1);
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}
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virtual ~se05_search()
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{
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// Release all iterators on the stacks.
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while (!st_blue.empty())
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{
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h.pop_notify(st_blue.front().s);
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delete st_blue.front().it;
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st_blue.pop_front();
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}
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while (!st_red.empty())
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{
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h.pop_notify(st_red.front().s);
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delete st_red.front().it;
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st_red.pop_front();
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}
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}
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/// \brief Perform a Magic Search.
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///
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/// \return non null pointer iff the algorithm has found a
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/// new accepting path.
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///
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/// check() can be called several times (until it returns a null
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/// pointer) to enumerate all the visited accepting paths. The method
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/// visits only a finite set of accepting paths.
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virtual emptiness_check_result* check()
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{
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nbn = nbt = 0;
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sts = mdp = st_blue.size() + st_red.size();
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if (st_red.empty())
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{
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assert(st_blue.empty());
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const state* s0 = a->get_init_state();
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++nbn;
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h.add_new_state(s0, CYAN);
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push(st_blue, s0, bddfalse, bddfalse);
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if (dfs_blue())
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return new result(*this);
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}
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else
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{
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h.pop_notify(st_red.front().s);
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delete st_red.front().it;
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st_red.pop_front();
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if (!st_red.empty() && dfs_red())
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return new result(*this);
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else
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if (dfs_blue())
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return new result(*this);
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}
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return 0;
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}
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virtual std::ostream& print_stats(std::ostream &os) const
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{
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os << nbn << " distinct nodes visited" << std::endl;
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os << nbt << " transitions explored" << std::endl;
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os << mdp << " nodes for the maximal stack depth" << std::endl;
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if (!st_red.empty())
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{
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assert(!st_blue.empty());
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os << st_blue.size() + st_red.size() - 1
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<< " nodes for the counter example" << std::endl;
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}
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return os;
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}
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private:
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/// \brief counters for statistics (number of distinct nodes, of
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/// transitions and maximal stacks size.
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int nbn, nbt, mdp, sts;
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struct stack_item
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{
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stack_item(const state* n, tgba_succ_iterator* i, bdd l, bdd a)
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: s(n), it(i), label(l), acc(a) {};
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/// The visited state.
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const state* s;
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/// Design the next successor of \a s which has to be visited.
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tgba_succ_iterator* it;
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/// The label of the transition followed to reach \a s
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/// (false for the first one).
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bdd label;
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/// The acc set of the transition followed to reach \a s
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/// (false for the first one).
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bdd acc;
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};
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typedef std::list<stack_item> stack_type;
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void push(stack_type& st, const state* s,
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const bdd& label, const bdd& acc)
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{
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++sts;
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if (sts>mdp)
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mdp = sts;
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tgba_succ_iterator* i = a->succ_iter(s);
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i->first();
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st.push_front(stack_item(s, i, label, acc));
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}
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/// \brief Stack of the blue dfs.
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stack_type st_blue;
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/// \brief number of visited accepting arcs
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/// in the blue stack.
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int current_weight;
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/// \brief Stack of the red dfs.
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stack_type st_red;
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/// \brief Map where each visited state is colored
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/// by the last dfs visiting it.
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heap h;
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/// The automata to check.
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const tgba* a;
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/// The automata to check.
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bdd all_cond;
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bool dfs_blue()
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{
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while (!st_blue.empty())
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{
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stack_item& f = st_blue.front();
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if (!f.it->done())
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{
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++nbt;
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const state *s_prime = f.it->current_state();
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bdd label = f.it->current_condition();
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bdd acc = f.it->current_acceptance_conditions();
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f.it->next();
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typename heap::color_ref c = h.get_color_ref(s_prime);
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if (c.is_null())
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// Go down the edge (f.s, <label, acc>, s_prime)
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{
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if (acc == all_cond)
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++current_weight;
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++nbn;
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h.add_new_state(s_prime, CYAN, current_weight);
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push(st_blue, s_prime, label, acc);
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}
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else // Backtrack the edge (f.s, <label, acc>, s_prime)
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{
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if (c.get() == CYAN &&
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(acc == all_cond || current_weight > c.get_weight()))
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{
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c.set(RED);
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push(st_red, s_prime, label, acc);
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return true;
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}
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else if (c.get() == BLUE && acc == all_cond)
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{
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// the test 'c.get() == BLUE' is added to limit
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// the number of runs reported by successive
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// calls to the check method. Without this
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// functionnality, the test can be ommited.
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c.set(RED);
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push(st_red, s_prime, label, acc);
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if (dfs_red())
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return true;
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}
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}
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}
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else
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// Backtrack the edge
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// (predecessor of f.s in st_blue, <f.label, f.acc>, f.s)
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{
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--sts;
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stack_item f_dest(f);
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delete f.it;
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st_blue.pop_front();
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if (f_dest.acc == all_cond)
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--current_weight;
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typename heap::color_ref c = h.get_color_ref(f_dest.s);
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assert(!c.is_null());
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if (c.get() == BLUE && f_dest.acc == all_cond
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&& !st_blue.empty())
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// the test 'c.get() == BLUE' is added to limit
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// the number of runs reported by successive
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// calls to the check method. Without this
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// functionnality, the test can be ommited.
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{
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c.set(RED);
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push(st_red, f_dest.s, f_dest.label, f_dest.acc);
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if (dfs_red())
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return true;
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}
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else
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{
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c.set(BLUE);
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h.pop_notify(f_dest.s);
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}
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}
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}
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return false;
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}
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bool dfs_red()
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{
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assert(!st_red.empty());
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while (!st_red.empty())
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{
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stack_item& f = st_red.front();
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if (!f.it->done())
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{
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++nbt;
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const state *s_prime = f.it->current_state();
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bdd label = f.it->current_condition();
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bdd acc = f.it->current_acceptance_conditions();
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f.it->next();
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typename heap::color_ref c = h.get_color_ref(s_prime);
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if (c.is_null())
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// Notice that this case is taken into account only to
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// support successive calls to the check method. Without
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// this functionnality => assert(c.is_null())
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// Go down the edge (f.s, <label, acc>, s_prime)
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{
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++nbn;
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h.add_new_state(s_prime, RED);
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push(st_red, s_prime, label, acc);
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}
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else // Go down the edge (f.s, <label, acc>, s_prime)
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{
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if (c.get() == CYAN)
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{
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c.set(RED);
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push(st_red, s_prime, label, acc);
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return true;
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}
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if (c.get() == BLUE)
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{
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c.set(RED);
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push(st_red, s_prime, label, acc);
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}
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}
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}
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else // Backtrack
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{
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--sts;
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h.pop_notify(f.s);
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delete f.it;
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st_red.pop_front();
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}
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}
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return false;
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}
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class result: public emptiness_check_result
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{
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public:
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result(se05_search& ms)
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: ms_(ms)
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{
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}
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virtual tgba_run* accepting_run()
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{
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assert(!ms_.st_blue.empty());
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assert(!ms_.st_red.empty());
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tgba_run* run = new tgba_run;
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typename stack_type::const_reverse_iterator i, j, end;
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tgba_run::steps* l;
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const state* target = ms_.st_red.front().s;
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l = &run->prefix;
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i = ms_.st_blue.rbegin();
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end = ms_.st_blue.rend(); --end;
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j = i; ++j;
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for (; i != end; ++i, ++j)
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{
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if (l == &run->prefix && i->s->compare(target) == 0)
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l = &run->cycle;
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tgba_run::step s = { i->s->clone(), j->label, j->acc };
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l->push_back(s);
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}
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if (l == &run->prefix && i->s->compare(target) == 0)
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l = &run->cycle;
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assert(l == &run->cycle);
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j = ms_.st_red.rbegin();
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tgba_run::step s = { i->s->clone(), j->label, j->acc };
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l->push_back(s);
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i = j; ++j;
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end = ms_.st_red.rend(); --end;
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for (; i != end; ++i, ++j)
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{
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tgba_run::step s = { i->s->clone(), j->label, j->acc };
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l->push_back(s);
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}
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return run;
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}
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private:
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se05_search& ms_;
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};
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};
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class explicit_se05_search_heap
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{
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typedef Sgi::hash_map<const state*, int,
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state_ptr_hash, state_ptr_equal> hcyan_type;
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typedef Sgi::hash_map<const state*, color,
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state_ptr_hash, state_ptr_equal> hash_type;
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public:
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class color_ref
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{
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public:
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color_ref(hash_type* h, hcyan_type* hc, const state* s, int w)
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: is_cyan(true), weight(w), ph(h), phc(hc), ps(s), pc(0)
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{
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}
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color_ref(color* c)
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: is_cyan(false), weight(0), ph(0), phc(0), ps(0), pc(c)
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{
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}
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int get() const
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{
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if (is_cyan)
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return CYAN; // the color cyan is fixed to 0
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return *pc;
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}
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int get_weight() const
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{
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assert(is_cyan);
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return weight;
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}
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void set(color c)
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{
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assert(!is_null());
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if (is_cyan)
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{
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phc->erase(ps);
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ph->insert(std::make_pair(ps, c));
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}
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else
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{
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*pc=c;
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}
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}
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bool is_null() const
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{
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return !is_cyan && pc==0;
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}
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private:
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bool is_cyan;
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int weight; // weight of a cyan node
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hash_type* ph; //point to the main hash table
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hcyan_type* phc; // point to the hash table hcyan
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const state* ps; // point to the state in hcyan
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color *pc; // point to the color of a state stored in main hash table
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};
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explicit_se05_search_heap()
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{
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}
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~explicit_se05_search_heap()
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{
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hcyan_type::const_iterator sc = hc.begin();
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while (sc != hc.end())
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{
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const state* ptr = sc->first;
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++sc;
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delete ptr;
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}
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hash_type::const_iterator s = h.begin();
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while (s != h.end())
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{
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const state* ptr = s->first;
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++s;
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delete ptr;
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}
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}
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color_ref get_color_ref(const state*& s)
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{
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hcyan_type::iterator ic = hc.find(s);
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if (ic==hc.end())
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{
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hash_type::iterator it = h.find(s);
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if (it==h.end())
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return color_ref(0); // unknown state
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if (s!=it->first)
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{
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delete s;
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s = it->first;
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}
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return color_ref(&(it->second)); // blue or red state
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}
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if (s!=ic->first)
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{
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delete s;
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s = ic->first;
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}
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return color_ref(&h, &hc, ic->first, ic->second); // cyan state
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}
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void add_new_state(const state* s, color c, int w=0)
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{
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assert(hc.find(s)==hc.end() && h.find(s)==h.end());
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if (c == CYAN)
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hc.insert(std::make_pair(s, w));
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else
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h.insert(std::make_pair(s, c));
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}
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void pop_notify(const state*)
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{
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}
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private:
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hash_type h;
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hcyan_type hc;
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};
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} // anonymous
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emptiness_check* explicit_se05_search(const tgba *a)
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{
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return new se05_search<explicit_se05_search_heap>(a);
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}
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}
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