parity: add spot::parity_product_or()
parity_product_or constructs the sum of two parity automata and it keeps the parity. * spot/twaalgos/parity.cc, spot/twaalgos/parity.hh: Here. * tests/core/parity.cc: Add tests here.
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3 changed files with 81 additions and 22 deletions
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@ -20,6 +20,7 @@
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#include <spot/twaalgos/parity.hh>
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#include <spot/twa/twagraph.hh>
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#include <spot/twaalgos/product.hh>
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#include <spot/twaalgos/complete.hh>
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#include <vector>
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#include <utility>
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#include <functional>
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@ -336,7 +337,7 @@ namespace spot
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return right_num_sets_;
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}
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value_t get_max_acc_set() const
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value_t get_max_acc_set(bool and_cond) const
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{
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// i is the index of the resulting automaton acceptance set
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// If i is even, it means that the according set is a set with
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@ -347,7 +348,7 @@ namespace spot
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while (l-- > 0)
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{
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auto k = get_left(l);
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bool can_jump = (k & l & 1) != 1;
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bool can_jump = and_cond ? (k & l & 1) != 1 : ((k | l) & 1) != 0;
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if (!can_jump)
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--k;
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auto new_l = get_right(k);
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@ -454,25 +455,26 @@ namespace spot
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std::pair<sh_label_t, value_t>
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push_state_history(sh_label_t label, value_t left_acc_set,
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value_t right_acc_set)
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value_t right_acc_set, bool and_cond)
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{
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state_history new_sh = l2sh_[label]->first;
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auto succ = new_sh.make_succ(left_acc_set, right_acc_set);
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auto max_acc_set = succ.get_max_acc_set();
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auto max_acc_set = succ.get_max_acc_set(and_cond);
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succ.clean_here();
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return std::make_pair(push_state_history(succ), max_acc_set);
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}
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std::pair<sh_label_t, value_t>
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get_succ(sh_label_t current_sh, value_t left_acc_set,
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value_t right_acc_set)
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value_t right_acc_set, bool and_cond)
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{
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auto f_args = std::make_tuple(current_sh, left_acc_set, right_acc_set);
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auto p = succ_.emplace(f_args, std::make_pair(0, 0));
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if (p.second)
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{
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p.first->second =
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push_state_history(current_sh, left_acc_set, right_acc_set);
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push_state_history(current_sh, left_acc_set,
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right_acc_set, and_cond);
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}
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return p.first->second;
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}
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@ -512,8 +514,21 @@ namespace spot
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twa_graph_ptr
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parity_product_aux(twa_graph_ptr& left, twa_graph_ptr& right)
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parity_product_aux(const const_twa_graph_ptr& first,
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const const_twa_graph_ptr& second,
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bool and_cond)
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{
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auto left = change_parity(first, parity_kind_max, parity_style_even);
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auto right = change_parity(second, parity_kind_max, parity_style_even);
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if (!and_cond)
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{
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complete_here(left);
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complete_here(right);
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}
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cleanup_parity_here(left, true);
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cleanup_parity_here(right, true);
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colorize_parity_here(left, true);
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colorize_parity_here(right, true);
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std::unordered_map<product_state_t, unsigned, product_state_hash> s2n;
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state_history_set sh_set;
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std::queue<std::pair<product_state_t, unsigned>> todo;
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@ -523,7 +538,7 @@ namespace spot
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unsigned left_num_sets = left->num_sets();
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unsigned right_num_sets = right->num_sets();
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unsigned z_size = left_num_sets + right_num_sets - 1;
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auto z = acc_cond::acc_code::parity(true, false, z_size);
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auto z = acc_cond::acc_code::parity(true, !and_cond, z_size);
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res->set_acceptance(z_size, z);
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auto v = new product_states;
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@ -535,7 +550,8 @@ namespace spot
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unsigned left_acc_set, unsigned right_acc_set)
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-> std::pair<unsigned, unsigned>
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{
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auto succ = sh_set.get_succ(sh_label, left_acc_set, right_acc_set);
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auto succ = sh_set.get_succ(sh_label, left_acc_set, right_acc_set,
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and_cond);
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product_state_t x(left_state, right_state, succ.first);
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auto p = s2n.emplace(x, 0);
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if (p.second) // This is a new state
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@ -605,12 +621,19 @@ namespace spot
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if (!(left->is_existential() && right->is_existential()))
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throw std::runtime_error("parity_product() does not support alternating "
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"automata");
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auto first = change_parity(left, parity_kind_max, parity_style_even);
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auto second = change_parity(right, parity_kind_max, parity_style_even);
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cleanup_parity_here(first, true);
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cleanup_parity_here(second, true);
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colorize_parity_here(first, true);
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colorize_parity_here(second, true);
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return parity_product_aux(first, second);
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return parity_product_aux(left, right, true);
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}
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twa_graph_ptr
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parity_product_or(const const_twa_graph_ptr& left,
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const const_twa_graph_ptr& right)
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{
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if (left->get_dict() != right->get_dict())
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throw std::runtime_error("parity_product_or: left and right automata "
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"should share their bdd_dict");
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if (!(left->is_existential() && right->is_existential()))
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throw std::runtime_error("parity_product_or() does not support "
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"alternating automata");
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return parity_product_aux(left, right, false);
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}
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}
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@ -147,5 +147,22 @@ namespace spot
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SPOT_API twa_graph_ptr
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parity_product(const const_twa_graph_ptr& left,
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const const_twa_graph_ptr& right);
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/// \brief Construct a product performing the union of two automata
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/// with parity acceptance and keeping their parity acceptance
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///
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/// This is based on an algorithm introduced by Olivier Carton (Theoretical
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/// Computer Science 161, 1-2 (1996)). The output is a parity max even
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/// automaton. The inputs must be automata with a parity acceptance, otherwise
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/// an invalid_argument exception is thrown.
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///
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/// \param left the first automaton
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///
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/// \param right the second automaton
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///
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/// \result the sum which is a parity automaton
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SPOT_API twa_graph_ptr
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parity_product_or(const const_twa_graph_ptr& left,
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const const_twa_graph_ptr& right);
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/// @}
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}
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@ -27,6 +27,7 @@
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#include <spot/twaalgos/product.hh>
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#include <spot/twaalgos/randomgraph.hh>
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#include <spot/misc/random.hh>
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#include <spot/twaalgos/complete.hh>
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#include <spot/twa/twagraph.hh>
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#include <spot/twa/fwd.hh>
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#include <spot/twa/acc.hh>
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@ -389,7 +390,7 @@ int main()
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unsigned acc_index = 0;
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unsigned nb = 0;
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// Parity product
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// Parity product and sum
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for (unsigned left_index = 0; left_index < num_left; ++left_index)
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{
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auto& aut_tuple_first = automata_tuples[left_index % num_automata];
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@ -415,9 +416,9 @@ int main()
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auto acc_second = std::get<0>(acc_tuple_second);
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auto acc_num_sets_second = std::get<3>(acc_tuple_second);
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right->set_acceptance(acc_num_sets_second, acc_second);
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auto result = spot::parity_product(left, right);
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auto ref = spot::product(left, right);
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if (!are_equiv(result, ref))
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auto result_prod = spot::parity_product(left, right);
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auto ref_prod = spot::product(left, right);
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if (!are_equiv(result_prod, ref_prod))
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{
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std::cerr << nb << ": parity_product: Not equivalent.\n"
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<< "=====First Automaton=====\n";
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@ -426,12 +427,30 @@ int main()
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spot::print_hoa(std::cerr, right);
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assert(false && "parity_product: Not equivalent.\n");
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}
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assert(is_colored_printerr(result)
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assert(is_colored_printerr(result_prod)
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&& "parity_product: not colored.");
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assert(is_right_parity(result, spot::parity_kind_any,
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assert(is_right_parity(result_prod, spot::parity_kind_any,
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spot::parity_style_any,
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true, true, 2)
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&& "parity_product: not a parity acceptance condition");
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auto result_sum = spot::parity_product_or(left, right);
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auto ref_sum = spot::product_or(left, right);
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if (!are_equiv(result_sum, ref_sum))
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{
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std::cerr << nb << ": parity_product_or: Not equivalent.\n"
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<< "=====First Automaton=====\n";
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spot::print_hoa(std::cerr, left);
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std::cerr << "=====Second Automaton=====\n";
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spot::print_hoa(std::cerr, right);
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assert(false && "parity_product_or: Not equivalent.\n");
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}
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assert(is_colored_printerr(result_sum)
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&& "parity_product_or: not colored.");
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assert(is_right_parity(result_sum, spot::parity_kind_any,
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spot::parity_style_any,
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true, true, 2)
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&& "parity_product_or: not a parity acceptance condition");
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++nb;
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}
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}
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