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product: optimize product with weak automata

Browse source 
Fixes #350.

* spot/twaalgos/product.cc: Implement this change.
* NEWS, spot/twaalgos/product.hh: Mention it.
* spot/twa/acc.cc, spot/twa/acc.hh (acc_cond::sat_mark): New method.
* tests/python/_product_weak.ipynb: New file.
* tests/Makefile.am: Add it.
* tests/python/automata.ipynb, tests/python/highlighting.ipynb,
tests/python/product.ipynb, tests/core/prodor.test: Adjust test cases.
This commit is contained in:
Alexandre Duret-Lutz 2018-05-23 18:34:31 +02:00
parent b655038803
commit a738801edf
11 changed files with 15348 additions and 1605 deletions
Download patch file Download diff file Expand all files Collapse all files

5
NEWS
View file

@ -89,6 +89,11 @@ New in spot 2.5.3.dev (not yet released)
They are most welcome in Python, since we used to redefine They are most welcome in Python, since we used to redefine
them every now and them. them every now and them.
- spot::product() and spot::product_or() learned so produce an
automaton with a simpler acceptance condition if one of the
argument is a weak automaton. In this case the resulting
acceptance condition is (usually) that of the other argument.
- spot::parity_product() and spot::parity_product_or() were dropped. - spot::parity_product() and spot::parity_product_or() were dropped.
The code was buggy, hard to maintain, and these functions do not The code was buggy, hard to maintain, and these functions do not
seem to be used. seem to be used.

26
spot/twa/acc.cc
View file

@ -1153,12 +1153,22 @@ namespace spot
} }
std::pair<bool, acc_cond::mark_t> std::pair<bool, acc_cond::mark_t>
acc_cond::unsat_mark() const acc_cond::sat_unsat_mark(bool sat) const
{ {
if (is_t()) if (sat)
return {false, mark_t({})}; {
if (!uses_fin_acceptance()) if (is_f())
return {true, mark_t({})}; return {false, mark_t({})};
if (!uses_fin_acceptance())
return {true, all_sets()};
}
else
{
if (is_t())
return {false, mark_t({})};
if (!uses_fin_acceptance())
return {true, mark_t({})};
}
auto used = code_.used_sets(); auto used = code_.used_sets();
unsigned c = used.count(); unsigned c = used.count();
@ -1185,11 +1195,11 @@ namespace spot
bdd res = to_bdd_rec(&code_.back(), &r[0]); bdd res = to_bdd_rec(&code_.back(), &r[0]);
if (res == bddtrue) if (res == bddtrue)
return {false, mark_t({})}; return {sat, mark_t({})};
if (res == bddfalse) if (res == bddfalse)
return {true, mark_t({})}; return {!sat, mark_t({})};
bdd cube = bdd_satone(!res); bdd cube = bdd_satone(sat ? res : !res);
mark_t i = {}; mark_t i = {};
while (cube != bddtrue) while (cube != bddtrue)
{ {

13
spot/twa/acc.hh
View file

@ -1165,10 +1165,21 @@ namespace spot
// Return (true, m) if there exist some acceptance mark m that // Return (true, m) if there exist some acceptance mark m that
// does not satisfy the acceptance condition. Return (false, 0U) // does not satisfy the acceptance condition. Return (false, 0U)
// otherwise. // otherwise.
std::pair<bool, acc_cond::mark_t> unsat_mark() const; std::pair<bool, acc_cond::mark_t> unsat_mark() const
{
return sat_unsat_mark(false);
}
// Return (true, m) if there exist some acceptance mark m that
// does satisfy the acceptance condition. Return (false, 0U)
// otherwise.
std::pair<bool, acc_cond::mark_t> sat_mark() const
{
return sat_unsat_mark(true);
}
protected: protected:
bool check_fin_acceptance() const; bool check_fin_acceptance() const;
std::pair<bool, acc_cond::mark_t> sat_unsat_mark(bool) const;
public: public:
static acc_code inf(mark_t mark) static acc_code inf(mark_t mark)

220
spot/twaalgos/product.cc
View file

@ -40,33 +40,18 @@ namespace spot
} }
}; };
template<typename T>
static static
twa_graph_ptr product_aux(const const_twa_graph_ptr& left, void product_main(const const_twa_graph_ptr& left,
const const_twa_graph_ptr& right, const const_twa_graph_ptr& right,
unsigned left_state, unsigned left_state,
unsigned right_state, unsigned right_state,
bool and_acc) twa_graph_ptr res, T merge_acc)
{ {
if (!(left->is_existential() && right->is_existential()))
throw std::runtime_error
("product() does not support alternating automata");
std::unordered_map<product_state, unsigned, product_state_hash> s2n; std::unordered_map<product_state, unsigned, product_state_hash> s2n;
std::deque<std::pair<product_state, unsigned>> todo; std::deque<std::pair<product_state, unsigned>> todo;
if (left->get_dict() != right->get_dict())
throw std::runtime_error("product: left and right automata should "
"share their bdd_dict");
auto res = make_twa_graph(left->get_dict());
res->copy_ap_of(left);
res->copy_ap_of(right);
auto left_num = left->num_sets();
auto right_acc = right->get_acceptance() << left_num;
if (and_acc)
right_acc &= left->get_acceptance();
else
right_acc |= left->get_acceptance();
res->set_acceptance(left_num + right->num_sets(), right_acc);
auto v = new product_states; auto v = new product_states;
res->set_named_prop("product-states", v); res->set_named_prop("product-states", v);
@ -86,10 +71,10 @@ namespace spot
}; };
res->set_init_state(new_state(left_state, right_state)); res->set_init_state(new_state(left_state, right_state));
if (right_acc.is_f()) if (res->acc().is_f())
// Do not bother doing any work if the resulting acceptance is // Do not bother doing any work if the resulting acceptance is
// false. // false.
return res; return;
while (!todo.empty()) while (!todo.empty())
{ {
auto top = todo.front(); auto top = todo.front();
@ -102,10 +87,192 @@ namespace spot
continue; continue;
auto dst = new_state(l.dst, r.dst); auto dst = new_state(l.dst, r.dst);
res->new_edge(top.second, dst, cond, res->new_edge(top.second, dst, cond,
l.acc | (r.acc << left_num)); merge_acc(l.acc, r.acc));
// If right is deterministic, we can abort immediately! // If right is deterministic, we can abort immediately!
} }
} }
}
static
twa_graph_ptr product_aux(const const_twa_graph_ptr& left,
const const_twa_graph_ptr& right,
unsigned left_state,
unsigned right_state,
bool and_acc)
{
if (SPOT_UNLIKELY(!(left->is_existential() && right->is_existential())))
throw std::runtime_error
("product() does not support alternating automata");
if (SPOT_UNLIKELY(left->get_dict() != right->get_dict()))
throw std::runtime_error("product: left and right automata should "
"share their bdd_dict");
auto res = make_twa_graph(left->get_dict());
res->copy_ap_of(left);
res->copy_ap_of(right);
bool leftweak = left->prop_weak().is_true();
bool rightweak = right->prop_weak().is_true();
// We have optimization to the standard product in case one
// of the arguments is weak. However these optimizations
// are pointless if the said arguments are "t" or "f".
if ((leftweak || rightweak)
&& (left->num_sets() > 0) && (right->num_sets() > 0))
{
// If both automata are weak, we can restrict the result to
// Büchi or co-Büchi. We will favor Büchi unless the two
// operands are co-Büchi.
if (leftweak && rightweak)
{
weak_weak:
acc_cond::mark_t accmark = {0};
acc_cond::mark_t rejmark = {};
if (left->acc().is_co_buchi() && right->acc().is_co_buchi())
{
res->set_co_buchi();
std::swap(accmark, rejmark);
}
else
{
res->set_buchi();
}
res->prop_weak(true);
auto& lacc = left->acc();
auto& racc = right->acc();
if (and_acc)
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
if (lacc.accepting(ml) && racc.accepting(mr))
return accmark;
else
return rejmark;
});
else
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
if (lacc.accepting(ml) || racc.accepting(mr))
return accmark;
else
return rejmark;
});
}
else if (!rightweak)
{
if (and_acc)
{
auto rightunsatmark = right->acc().unsat_mark();
if (!rightunsatmark.first)
{
// Left is weak. Right was not weak, but it is
// always accepting. We can therefore pretend
// that right is weak.
goto weak_weak;
}
res->copy_acceptance_of(right);
acc_cond::mark_t rejmark = rightunsatmark.second;
auto& lacc = left->acc();
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
if (lacc.accepting(ml))
return mr;
else
return rejmark;
});
}
else
{
auto rightsatmark = right->acc().sat_mark();
if (!rightsatmark.first)
{
// Left is weak. Right was not weak, but it is
// always rejecting. We can therefore pretend
// that right is weak.
goto weak_weak;
}
res->copy_acceptance_of(right);
acc_cond::mark_t accmark = rightsatmark.second;
auto& lacc = left->acc();
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
if (!lacc.accepting(ml))
return mr;
else
return accmark;
});
}
}
else
{
assert(!leftweak);
if (and_acc)
{
auto leftunsatmark = left->acc().unsat_mark();
if (!leftunsatmark.first)
{
// Right is weak. Left was not weak, but it is
// always accepting. We can therefore pretend
// that left is weak.
goto weak_weak;
}
res->copy_acceptance_of(left);
acc_cond::mark_t rejmark = leftunsatmark.second;
auto& racc = right->acc();
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
if (racc.accepting(mr))
return ml;
else
return rejmark;
});
}
else
{
auto leftsatmark = left->acc().sat_mark();
if (!leftsatmark.first)
{
// Right is weak. Left was not weak, but it is
// always rejecting. We can therefore pretend
// that left is weak.
goto weak_weak;
}
res->copy_acceptance_of(left);
acc_cond::mark_t accmark = leftsatmark.second;
auto& racc = right->acc();
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
if (!racc.accepting(mr))
return ml;
else
return accmark;
});
}
}
}
else // general case
{
auto left_num = left->num_sets();
auto right_acc = right->get_acceptance() << left_num;
if (and_acc)
right_acc &= left->get_acceptance();
else
right_acc |= left->get_acceptance();
res->set_acceptance(left_num + right->num_sets(), right_acc);
product_main(left, right, left_state, right_state, res,
[&] (acc_cond::mark_t ml, acc_cond::mark_t mr)
{
return ml | (mr << left_num);
});
}
// The product of two non-deterministic automata could be // The product of two non-deterministic automata could be
// deterministic. Likewise for non-complete automata. // deterministic. Likewise for non-complete automata.
@ -147,8 +314,7 @@ namespace spot
unsigned left_state, unsigned left_state,
unsigned right_state) unsigned right_state)
{ {
return product_aux(complete(left), return product_aux(complete(left), complete(right),
complete(right),
left_state, right_state, false); left_state, right_state, false);
} }

22
spot/twaalgos/product.hh
View file

@ -1,5 +1,5 @@
// -*- coding: utf-8 -*- // -*- coding: utf-8 -*-
// Copyright (C) 2014, 2015 Laboratoire de Recherche et // Copyright (C) 2014, 2015, 2018 Laboratoire de Recherche et
// Développement de l'Epita (LRDE). // Développement de l'Epita (LRDE).
// //
// This file is part of Spot, a model checking library. // This file is part of Spot, a model checking library.
@ -36,7 +36,10 @@ namespace spot
/// The resulting automaton will accept the intersection of both /// The resulting automaton will accept the intersection of both
/// languages and have an acceptance condition that is the /// languages and have an acceptance condition that is the
/// conjunction of the acceptance conditions of the two input /// conjunction of the acceptance conditions of the two input
/// automata. /// automata. In case one of the left or right automaton is weak,
/// the acceptance condition of the result is made simpler: it
/// usually is the acceptance condition of the other argument,
/// therefore avoiding the need to introduce new accepting sets.
/// ///
/// The algorithm also defines a named property called /// The algorithm also defines a named property called
/// "product-states" with type spot::product_states. This stores /// "product-states" with type spot::product_states. This stores
@ -56,7 +59,10 @@ namespace spot
/// languages recognized by each input automaton (with its initial /// languages recognized by each input automaton (with its initial
/// state changed) and have an acceptance condition that is the /// state changed) and have an acceptance condition that is the
/// conjunction of the acceptance conditions of the two input /// conjunction of the acceptance conditions of the two input
/// automata. /// automata. In case one of the left or right automaton is weak,
/// the acceptance condition of the result is made simpler: it
/// usually is the acceptance condition of the other argument,
/// therefore avoiding the need to introduce new accepting sets.
/// ///
/// The algorithm also defines a named property called /// The algorithm also defines a named property called
/// "product-states" with type spot::product_states. This stores /// "product-states" with type spot::product_states. This stores
@ -74,7 +80,10 @@ namespace spot
/// The resulting automaton will accept the union of both /// The resulting automaton will accept the union of both
/// languages and have an acceptance condition that is the /// languages and have an acceptance condition that is the
/// disjunction of the acceptance conditions of the two input /// disjunction of the acceptance conditions of the two input
/// automata. /// automata. In case one of the left or right automaton is weak,
/// the acceptance condition of the result is made simpler: it
/// usually is the acceptance condition of the other argument,
/// therefore avoiding the need to introduce new accepting sets.
/// ///
/// The algorithm also defines a named property called /// The algorithm also defines a named property called
/// "product-states" with type spot::product_states. This stores /// "product-states" with type spot::product_states. This stores
@ -94,7 +103,10 @@ namespace spot
/// recognized by each input automaton (with its initial state /// recognized by each input automaton (with its initial state
/// changed) and have an acceptance condition that is the /// changed) and have an acceptance condition that is the
/// disjunction of the acceptance conditions of the two input /// disjunction of the acceptance conditions of the two input
/// automata. /// automata. In case one of the left or right automaton is weak,
/// the acceptance condition of the result is made simpler: it
/// usually is the acceptance condition of the other argument,
/// therefore avoiding the need to introduce new accepting sets.
/// ///
/// The algorithm also defines a named property called /// The algorithm also defines a named property called
/// "product-states" with type spot::product_states. This stores /// "product-states" with type spot::product_states. This stores

1
tests/Makefile.am
View file

@ -383,6 +383,7 @@ TESTS_python = \
python/parsetgba.py \ python/parsetgba.py \
python/parity.py \ python/parity.py \
python/prodexpt.py \ python/prodexpt.py \
python/_product_weak.ipynb \
python/randgen.py \ python/randgen.py \
python/relabel.py \ python/relabel.py \
python/remfin.py \ python/remfin.py \

25
tests/core/prodor.test
View file

@ -1,6 +1,6 @@
#!/bin/sh #!/bin/sh
# -*- coding: utf-8 -*- # -*- coding: utf-8 -*-
# Copyright (C) 2015, 2017 Laboratoire de Recherche et Développement # Copyright (C) 2015, 2017, 2018 Laboratoire de Recherche et Développement
# de l'Epita (LRDE). # de l'Epita (LRDE).
# #
# This file is part of Spot, a model checking library. # This file is part of Spot, a model checking library.
@ -106,6 +106,7 @@ diff pand.hoa exp
test 2 = `autfilt -c --intersect pand.hoa gfa.hoa fgb.hoa` test 2 = `autfilt -c --intersect pand.hoa gfa.hoa fgb.hoa`
# Xb is weak, so the product will still be Büchi
ltl2tgba -BDH 'GFa' > gfa.hoa ltl2tgba -BDH 'GFa' > gfa.hoa
ltl2tgba -BDH 'Xb' > xb.hoa ltl2tgba -BDH 'Xb' > xb.hoa
autfilt --product-or gfa.hoa xb.hoa -H > por.hoa autfilt --product-or gfa.hoa xb.hoa -H > por.hoa
@ -116,14 +117,15 @@ HOA: v1
States: 7 States: 7
Start: 0 Start: 0
AP: 2 "a" "b" AP: 2 "a" "b"
Acceptance: 2 Inf(0) | Inf(1) acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels state-acc complete properties: trans-labels explicit-labels state-acc complete
properties: deterministic properties: deterministic
--BODY-- --BODY--
State: 0 {1} State: 0 {0}
[0] 1 [0] 1
[!0] 2 [!0] 2
State: 1 {1} State: 1 {0}
[0&1] 3 [0&1] 3
[!0&1] 4 [!0&1] 4
[0&!1] 5 [0&!1] 5
@ -133,13 +135,13 @@ State: 2
[!0&1] 4 [!0&1] 4
[0&!1] 5 [0&!1] 5
[!0&!1] 6 [!0&!1] 6
State: 3 {0 1} State: 3 {0}
[0] 3 [0] 3
[!0] 4 [!0] 4
State: 4 {0} State: 4 {0}
[0] 3 [0] 3
[!0] 4 [!0] 4
State: 5 {1} State: 5 {0}
[0] 5 [0] 5
[!0] 6 [!0] 6
State: 6 State: 6
@ -159,14 +161,15 @@ HOA: v1
States: 7 States: 7
Start: 0 Start: 0
AP: 2 "a" "b" AP: 2 "a" "b"
Acceptance: 2 Inf(0) | Inf(1) acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels state-acc complete properties: trans-labels explicit-labels state-acc complete
properties: deterministic properties: deterministic
--BODY-- --BODY--
State: 0 {0 1} State: 0 {0}
[0] 1 [0] 1
[!0] 2 [!0] 2
State: 1 {0 1} State: 1 {0}
[0&1] 3 [0&1] 3
[!0&1] 4 [!0&1] 4
[0&!1] 5 [0&!1] 5
@ -176,13 +179,13 @@ State: 2 {0}
[!0&1] 4 [!0&1] 4
[0&!1] 5 [0&!1] 5
[!0&!1] 6 [!0&!1] 6
State: 3 {0 1} State: 3 {0}
[0] 3 [0] 3
[!0] 4 [!0] 4
State: 4 {0} State: 4 {0}
[0] 3 [0] 3
[!0] 4 [!0] 4
State: 5 {1} State: 5 {0}
[0] 5 [0] 5
[!0] 6 [!0] 6
State: 6 State: 6

13400
tests/python/_product_weak.ipynb Normal file
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File diff suppressed because it is too large Load diff

636
tests/python/automata.ipynb
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@ -8,6 +8,7 @@
"source": [ "source": [
"from IPython.display import display\n", "from IPython.display import display\n",
"import spot\n", "import spot\n",
"from spot.jupyter import display_inline\n",
"spot.setup()" "spot.setup()"
] ]
}, },
@ -163,7 +164,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe2c0c80f0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec60d690> >"
] ]
}, },
"execution_count": 2, "execution_count": 2,
@ -600,7 +601,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efccd80> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec57bc90> >"
] ]
}, },
"execution_count": 6, "execution_count": 6,
@ -676,7 +677,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efdc180> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec58a9f0> >"
] ]
}, },
"execution_count": 7, "execution_count": 7,
@ -759,7 +760,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efdc150> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec58ab10> >"
] ]
}, },
"execution_count": 8, "execution_count": 8,
@ -1278,7 +1279,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efee7e0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59c840> >"
] ]
}, },
"execution_count": 12, "execution_count": 12,
@ -1392,7 +1393,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efee900> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59ca20> >"
] ]
}, },
"execution_count": 13, "execution_count": 13,
@ -1523,7 +1524,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efee7b0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cab0> >"
] ]
}, },
"execution_count": 14, "execution_count": 14,
@ -1635,7 +1636,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efee810> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cb10> >"
] ]
}, },
"execution_count": 15, "execution_count": 15,
@ -2180,7 +2181,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efcc9c0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59c210> >"
] ]
}, },
"execution_count": 16, "execution_count": 16,
@ -2391,7 +2392,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efee2a0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cbd0> >"
] ]
}, },
"metadata": {}, "metadata": {},
@ -2541,7 +2542,7 @@
"</svg>\n" "</svg>\n"
], ],
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@ -3150,7 +3151,7 @@
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@ -3169,123 +3170,151 @@
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"</svg>" "</svg></div>"
], ],
"text/plain": [ "text/plain": [
"<IPython.core.display.SVG object>" "<IPython.core.display.HTML object>"
] ]
}, },
"metadata": {}, "metadata": {},
@ -3563,10 +3648,13 @@
"source": [ "source": [
"# Using +1 in the display options is a convient way to shift the \n", "# Using +1 in the display options is a convient way to shift the \n",
"# set numbers in the output, as an aid in reading the product.\n", "# set numbers in the output, as an aid in reading the product.\n",
"a1 = spot.translate('a W c'); display(a1.show('.t'))\n", "a1 = spot.translate('GF(a <-> Xa)')\n",
"a2 = spot.translate('a U b'); display(a2.show('.t+1'))\n", "print(a1.prop_weak())\n",
"# the product should display pairs of states, unless asked not to (using 1).\n", "a2 = spot.translate('a U b & GFc')\n",
"p = spot.product(a1, a2); display(p.show('.t')); display(p.show('.t1'))" "display_inline(a1.show('.t'), a2.show('.t+1'))\n",
"# the product should display pairs of states, unless asked not to (using '1').\n",
"p = spot.product(a1, a2)\n",
"display_inline(p.show('.t'), p.show('.t1'), per_row=2)"
] ]
}, },
{ {
@ -3578,7 +3666,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 24, "execution_count": 25,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -3643,7 +3731,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1effb4b0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec52abd0> >"
] ]
}, },
"metadata": {}, "metadata": {},
@ -3667,7 +3755,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 25, "execution_count": 26,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -3743,10 +3831,10 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efeec90> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec52ae40> >"
] ]
}, },
"execution_count": 25, "execution_count": 26,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -3764,7 +3852,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 26, "execution_count": 27,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -3816,10 +3904,10 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efee030> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec52ab10> >"
] ]
}, },
"execution_count": 26, "execution_count": 27,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -3837,7 +3925,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 27, "execution_count": 28,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -3905,7 +3993,7 @@
"<IPython.core.display.SVG object>" "<IPython.core.display.SVG object>"
] ]
}, },
"execution_count": 27, "execution_count": 28,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -3923,7 +4011,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 28, "execution_count": 29,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -3980,10 +4068,10 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1effbe10> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec53da50> >"
] ]
}, },
"execution_count": 28, "execution_count": 29,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -4001,7 +4089,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 29, "execution_count": 30,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -4066,7 +4154,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1effb4b0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec52abd0> >"
] ]
}, },
"metadata": {}, "metadata": {},
@ -4134,7 +4222,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1effb4b0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec52abd0> >"
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}, },
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@ -4159,7 +4247,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 30, "execution_count": 31,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -4224,10 +4312,10 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
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] ]
}, },
"execution_count": 30, "execution_count": 31,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }

177
tests/python/highlighting.ipynb
View file

@ -240,7 +240,7 @@
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@ -352,7 +352,7 @@
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"execution_count": 5, "execution_count": 5,
@ -462,7 +462,7 @@
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@ -695,7 +695,7 @@
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"execution_count": 8, "execution_count": 8,
@ -892,7 +892,7 @@
"</svg>\n" "</svg>\n"
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"execution_count": 11, "execution_count": 11,
@ -977,7 +977,7 @@
"</svg>\n" "</svg>\n"
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@ -1032,7 +1032,7 @@
"</svg>\n" "</svg>\n"
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}, },
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@ -1059,80 +1059,74 @@
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@ -1157,9 +1151,7 @@
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], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7c0f0> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d090> >"
] ]
}, },
"metadata": {}, "metadata": {},
@ -1336,7 +1322,7 @@
"</svg>\n" "</svg>\n"
], ],
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] ]
}, },
"metadata": {}, "metadata": {},
@ -1391,7 +1377,7 @@
"</svg>\n" "</svg>\n"
], ],
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] ]
}, },
"metadata": {}, "metadata": {},
@ -1623,7 +1609,7 @@
"</svg>\n" "</svg>\n"
], ],
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] ]
}, },
"metadata": {}, "metadata": {},
@ -1711,7 +1697,7 @@
"</svg>\n" "</svg>\n"
], ],
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"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7ca50> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6dba0> >"
] ]
}, },
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"</svg>\n" "</svg>\n"
], ],
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] ]
}, },
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"</svg>\n" "</svg>\n"
], ],
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] ]
}, },
"execution_count": 18, "execution_count": 18,
@ -2144,7 +2130,7 @@
"</svg>\n" "</svg>\n"
], ],
"text/plain": [ "text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7cb70> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6dc30> >"
] ]
}, },
"execution_count": 19, "execution_count": 19,
@ -2307,7 +2293,7 @@
"</svg>\n" "</svg>\n"
], ],
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"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7cb70> >" "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6dc30> >"
] ]
}, },
"metadata": {}, "metadata": {},
@ -2771,6 +2757,13 @@
"spot.highlight_languages(aut)\n", "spot.highlight_languages(aut)\n",
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] ]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
} }
], ],
"metadata": { "metadata": {

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tests/python/product.ipynb
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