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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
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.
The code was buggy, hard to maintain, and these functions do not
seem to be used.

26
spot/twa/acc.cc
View file

@ -1153,12 +1153,22 @@ namespace spot
}
std::pair<bool, acc_cond::mark_t>
acc_cond::unsat_mark() const
acc_cond::sat_unsat_mark(bool sat) const
{
if (is_t())
return {false, mark_t({})};
if (!uses_fin_acceptance())
return {true, mark_t({})};
if (sat)
{
if (is_f())
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();
unsigned c = used.count();
@ -1185,11 +1195,11 @@ namespace spot
bdd res = to_bdd_rec(&code_.back(), &r[0]);
if (res == bddtrue)
return {false, mark_t({})};
return {sat, mark_t({})};
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 = {};
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
// does not satisfy the acceptance condition. Return (false, 0U)
// 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:
bool check_fin_acceptance() const;
std::pair<bool, acc_cond::mark_t> sat_unsat_mark(bool) const;
public:
static acc_code inf(mark_t mark)

220
spot/twaalgos/product.cc
View file

@ -40,33 +40,18 @@ namespace spot
}
};
template<typename T>
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)
void product_main(const const_twa_graph_ptr& left,
const const_twa_graph_ptr& right,
unsigned left_state,
unsigned right_state,
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::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;
res->set_named_prop("product-states", v);
@ -86,10 +71,10 @@ namespace spot
};
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
// false.
return res;
return;
while (!todo.empty())
{
auto top = todo.front();
@ -102,10 +87,192 @@ namespace spot
continue;
auto dst = new_state(l.dst, r.dst);
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!
}
}
}
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
// deterministic. Likewise for non-complete automata.
@ -147,8 +314,7 @@ namespace spot
unsigned left_state,
unsigned right_state)
{
return product_aux(complete(left),
complete(right),
return product_aux(complete(left), complete(right),
left_state, right_state, false);
}

22
spot/twaalgos/product.hh
View file

@ -1,5 +1,5 @@
// -*- 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).
//
// 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
/// languages and have an acceptance condition that is the
/// 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
/// "product-states" with type spot::product_states. This stores
@ -56,7 +59,10 @@ namespace spot
/// languages recognized by each input automaton (with its initial
/// state changed) and have an acceptance condition that is the
/// 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
/// "product-states" with type spot::product_states. This stores
@ -74,7 +80,10 @@ namespace spot
/// The resulting automaton will accept the union of both
/// languages and have an acceptance condition that is the
/// 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
/// "product-states" with type spot::product_states. This stores
@ -94,7 +103,10 @@ namespace spot
/// recognized by each input automaton (with its initial state
/// changed) and have an acceptance condition that is the
/// 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
/// "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/parity.py \
python/prodexpt.py \
python/_product_weak.ipynb \
python/randgen.py \
python/relabel.py \
python/remfin.py \

25
tests/core/prodor.test
View file

@ -1,6 +1,6 @@
#!/bin/sh
# -*- 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).
#
# 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`
# Xb is weak, so the product will still be Büchi
ltl2tgba -BDH 'GFa' > gfa.hoa
ltl2tgba -BDH 'Xb' > xb.hoa
autfilt --product-or gfa.hoa xb.hoa -H > por.hoa
@ -116,14 +117,15 @@ HOA: v1
States: 7
Start: 0
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: deterministic
--BODY--
State: 0 {1}
State: 0 {0}
[0] 1
[!0] 2
State: 1 {1}
State: 1 {0}
[0&1] 3
[!0&1] 4
[0&!1] 5
@ -133,13 +135,13 @@ State: 2
[!0&1] 4
[0&!1] 5
[!0&!1] 6
State: 3 {0 1}
State: 3 {0}
[0] 3
[!0] 4
State: 4 {0}
[0] 3
[!0] 4
State: 5 {1}
State: 5 {0}
[0] 5
[!0] 6
State: 6
@ -159,14 +161,15 @@ HOA: v1
States: 7
Start: 0
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: deterministic
--BODY--
State: 0 {0 1}
State: 0 {0}
[0] 1
[!0] 2
State: 1 {0 1}
State: 1 {0}
[0&1] 3
[!0&1] 4
[0&!1] 5
@ -176,13 +179,13 @@ State: 2 {0}
[!0&1] 4
[0&!1] 5
[!0&!1] 6
State: 3 {0 1}
State: 3 {0}
[0] 3
[!0] 4
State: 4 {0}
[0] 3
[!0] 4
State: 5 {1}
State: 5 {0}
[0] 5
[!0] 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
View file

@ -8,6 +8,7 @@
"source": [
"from IPython.display import display\n",
"import spot\n",
"from spot.jupyter import display_inline\n",
"spot.setup()"
]
},
@ -163,7 +164,7 @@
"</svg>\n"
],
"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,
@ -600,7 +601,7 @@
"</svg>\n"
],
"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,
@ -676,7 +677,7 @@
"</svg>\n"
],
"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,
@ -759,7 +760,7 @@
"</svg>\n"
],
"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,
@ -1278,7 +1279,7 @@
"</svg>\n"
],
"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,
@ -1392,7 +1393,7 @@
"</svg>\n"
],
"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,
@ -1523,7 +1524,7 @@
"</svg>\n"
],
"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,
@ -1635,7 +1636,7 @@
"</svg>\n"
],
"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,
@ -2180,7 +2181,7 @@
"</svg>\n"
],
"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,
@ -2391,7 +2392,7 @@
"</svg>\n"
],
"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": {},
@ -2541,7 +2542,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efcce40> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec57b9c0> >"
]
},
"metadata": {},
@ -2713,7 +2714,7 @@
"</svg>\n"
],
"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 0x7f16ec59ce40> >"
]
},
"metadata": {},
@ -2888,7 +2889,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efeeba0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cc90> >"
]
},
"metadata": {},
@ -3074,7 +3075,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efeee40> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cf00> >"
]
},
"execution_count": 21,
@ -3150,7 +3151,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fbe1efeef30> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59c8d0> >"
]
},
"execution_count": 22,
@ -3169,123 +3170,151 @@
"outputs": [
{
"data": {
"image/svg+xml": [
"<svg height=\"128pt\" viewBox=\"0.00 0.00 170.00 128.00\" width=\"170pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
"<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 124)\">\n",
"<polygon fill=\"#ffffff\" points=\"-4,4 -4,-124 166,-124 166,4 -4,4\" stroke=\"transparent\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"60\" y=\"-105.8\">Inf(</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"82\" y=\"-105.8\">⓿</text>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"98\" y=\"-105.8\">)</text>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"58\" y=\"-91.8\">[Büchi]</text>\n",
"text/plain": [
"True"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spot.formula('(a W c) & FGa').is_syntactic_persistence()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"171.5\" y=\"-172.8\">a &amp; !b</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"182\" y=\"-157.8\">⓿</text>\n",
"<path d=\"M156.2674,-44.0198C153.6685,-54.387 156.7461,-64.4783 165.5,-64.4783 172.2022,-64.4783 175.577,-58.563 175.6245,-51.1374\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"174.7326,-44.0198 178.7286,-50.5738 175.1678,-47.4926 175.603,-50.9654 175.603,-50.9654 175.603,-50.9654 175.1678,-47.4926 172.4775,-51.3571 174.7326,-44.0198 174.7326,-44.0198\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"147\" y=\"-83.2783\">a &amp; !b</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"157.5\" y=\"-68.2783\">⓿</text>\n",
"</g>\n",
"<!-- 2&#45;&gt;3 -->\n",
"<g class=\"edge\" id=\"edge11\">\n",
"<title>2-&gt;3</title>\n",
"<path d=\"M183.594,-27.7587C217.9351,-27.0979 294.2023,-29.0444 351,-55.4783 357.8232,-58.6539 364.2983,-63.5517 369.8268,-68.5683\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"375.0175,-73.5652 367.7898,-70.9798 372.496,-71.1378 369.9744,-68.7105 369.9744,-68.7105 369.9744,-68.7105 372.496,-71.1378 372.1591,-66.4411 375.0175,-73.5652 375.0175,-73.5652\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"258\" y=\"-56.2783\">a &amp; b</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"267\" y=\"-41.2783\">⓿</text>\n",
"</g>\n",
"<!-- 3&#45;&gt;1 -->\n",
"<g class=\"edge\" id=\"edge9\">\n",
"<g class=\"edge\" id=\"edge12\">\n",
"<title>3-&gt;1</title>\n",
"<path d=\"M203.1717,-30.6651C221.5355,-48.3226 254.9095,-80.413 275.6867,-100.3911\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"280.9353,-105.4378 273.7061,-102.8566 278.4123,-103.0119 275.8894,-100.586 275.8894,-100.586 275.8894,-100.586 278.4123,-103.0119 278.0727,-98.3153 280.9353,-105.4378 280.9353,-105.4378\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"238.5\" y=\"-99.8\">c</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"226\" y=\"-85.8\">⓿</text>\n",
"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-85.8\">❶</text>\n",
"<path d=\"M369.6229,-92.9087C350.7682,-98.8008 320.5243,-108.252 299.3164,-114.8795\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"292.5,-117.0096 298.2418,-111.915 295.8407,-115.9656 299.1814,-114.9216 299.1814,-114.9216 299.1814,-114.9216 295.8407,-115.9656 300.121,-117.9282 292.5,-117.0096 292.5,-117.0096\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-114.2783\">!a &amp; !c</text>\n",
"</g>\n",
"<!-- 3&#45;&gt;1 -->\n",
"<g class=\"edge\" id=\"edge13\">\n",
"<title>3-&gt;1</title>\n",
"<path d=\"M372.8693,-75.8011C366.5789,-71.3346 358.8309,-66.7663 351,-64.4783 333.9357,-59.4925 326.5358,-55.8361 311,-64.4783 297.9795,-71.7213 289.0654,-85.8382 283.3646,-98.3307\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"280.5224,-105.05 280.3484,-97.3758 281.886,-101.8265 283.2495,-98.603 283.2495,-98.603 283.2495,-98.603 281.886,-101.8265 286.1506,-99.8302 280.5224,-105.05 280.5224,-105.05\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"313\" y=\"-83.2783\">!a &amp; c</text>\n",
"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"323\" y=\"-68.2783\">❶</text>\n",
"</g>\n",
"<!-- 3&#45;&gt;3 -->\n",
"<g class=\"edge\" id=\"edge10\">\n",
"<g class=\"edge\" id=\"edge14\">\n",
"<title>3-&gt;3</title>\n",
"<path d=\"M181.0212,-33.916C178.679,-44.1504 181.6719,-54 190,-54 196.3762,-54 199.625,-48.2263 199.7465,-40.9268\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"198.9788,-33.916 202.8721,-40.5315 199.3598,-37.3952 199.7408,-40.8744 199.7408,-40.8744 199.7408,-40.8744 199.3598,-37.3952 196.6095,-41.2174 198.9788,-33.916 198.9788,-33.916\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"172\" y=\"-71.8\">a &amp; !c</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"174\" y=\"-57.8\">⓿</text>\n",
"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"190\" y=\"-57.8\">❶</text>\n",
"<path d=\"M382.0012,-104.8882C381.0681,-114.5662 382.7344,-123.4783 387,-123.4783 390.1326,-123.4783 391.8633,-118.6719 392.1921,-112.2856\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"391.9988,-104.8882 395.3307,-111.8035 392.0903,-108.387 392.1818,-111.8858 392.1818,-111.8858 392.1818,-111.8858 392.0903,-108.387 389.0329,-111.9682 391.9988,-104.8882 391.9988,-104.8882\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"369\" y=\"-142.2783\">a &amp; !c</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"379\" y=\"-127.2783\">⓿</text>\n",
"</g>\n",
"<!-- 3&#45;&gt;3 -->\n",
"<g class=\"edge\" id=\"edge15\">\n",
"<title>3-&gt;3</title>\n",
"<path d=\"M379.4634,-104.0742C373.769,-125.3416 376.2813,-153.4783 387,-153.4783 396.5883,-153.4783 399.6098,-130.9637 396.0645,-110.9915\" fill=\"none\" stroke=\"#000000\"/>\n",
"<polygon fill=\"#000000\" points=\"394.5366,-104.0742 399.1223,-110.23 395.2915,-107.4918 396.0464,-110.9094 396.0464,-110.9094 396.0464,-110.9094 395.2915,-107.4918 392.9706,-111.5889 394.5366,-104.0742 394.5366,-104.0742\" stroke=\"#000000\"/>\n",
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"371\" y=\"-171.2783\">a &amp; c</text>\n",
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"371\" y=\"-157.2783\">⓿</text>\n",
"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"387\" y=\"-157.2783\">❶</text>\n",
"</g>\n",
"</g>\n",
"</svg>"
"</svg></div>"
],
"text/plain": [
"<IPython.core.display.SVG object>"
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
@ -3563,10 +3648,13 @@
"source": [
"# 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",
"a1 = spot.translate('a W c'); display(a1.show('.t'))\n",
"a2 = spot.translate('a U b'); display(a2.show('.t+1'))\n",
"# the product should display pairs of states, unless asked not to (using 1).\n",
"p = spot.product(a1, a2); display(p.show('.t')); display(p.show('.t1'))"
"a1 = spot.translate('GF(a <-> Xa)')\n",
"print(a1.prop_weak())\n",
"a2 = spot.translate('a U b & GFc')\n",
"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",
"execution_count": 24,
"execution_count": 25,
"metadata": {},
"outputs": [
{
@ -3643,7 +3731,7 @@
"</svg>\n"
],
"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": {},
@ -3667,7 +3755,7 @@
},
{
"cell_type": "code",
"execution_count": 25,
"execution_count": 26,
"metadata": {},
"outputs": [
{
@ -3743,10 +3831,10 @@
"</svg>\n"
],
"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": {},
"output_type": "execute_result"
}
@ -3764,7 +3852,7 @@
},
{
"cell_type": "code",
"execution_count": 26,
"execution_count": 27,
"metadata": {},
"outputs": [
{
@ -3816,10 +3904,10 @@
"</svg>\n"
],
"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": {},
"output_type": "execute_result"
}
@ -3837,7 +3925,7 @@
},
{
"cell_type": "code",
"execution_count": 27,
"execution_count": 28,
"metadata": {},
"outputs": [
{
@ -3905,7 +3993,7 @@
"<IPython.core.display.SVG object>"
]
},
"execution_count": 27,
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
@ -3923,7 +4011,7 @@
},
{
"cell_type": "code",
"execution_count": 28,
"execution_count": 29,
"metadata": {},
"outputs": [
{
@ -3980,10 +4068,10 @@
"</svg>\n"
],
"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": {},
"output_type": "execute_result"
}
@ -4001,7 +4089,7 @@
},
{
"cell_type": "code",
"execution_count": 29,
"execution_count": 30,
"metadata": {},
"outputs": [
{
@ -4066,7 +4154,7 @@
"</svg>\n"
],
"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": {},
@ -4134,7 +4222,7 @@
"</svg>\n"
],
"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": {},
@ -4159,7 +4247,7 @@
},
{
"cell_type": "code",
"execution_count": 30,
"execution_count": 31,
"metadata": {},
"outputs": [
{
@ -4224,10 +4312,10 @@
"</svg>\n"
],
"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> >"
]
},
"execution_count": 30,
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}

177
tests/python/highlighting.ipynb
View file

@ -240,7 +240,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4c3f0c0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128edca50> >"
]
},
"execution_count": 4,
@ -352,7 +352,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa; proxy of <Swig Object of type 'std::shared_ptr< spot::twa > *' at 0x7f65e4c3f0f0> >"
"<spot.twa; proxy of <Swig Object of type 'std::shared_ptr< spot::twa > *' at 0x7f0128e4cd50> >"
]
},
"execution_count": 5,
@ -462,7 +462,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4c3f0c0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128edca50> >"
]
},
"execution_count": 6,
@ -695,7 +695,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b5acc0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e4cab0> >"
]
},
"execution_count": 8,
@ -892,7 +892,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b5acc0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e4cab0> >"
]
},
"execution_count": 11,
@ -977,7 +977,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7c6f0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d8a0> >"
]
},
"metadata": {},
@ -1032,7 +1032,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7c2a0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d780> >"
]
},
"metadata": {},
@ -1059,80 +1059,74 @@
"<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
" -->\n",
"<!-- Pages: 1 -->\n",
"<svg width=\"227pt\" height=\"188pt\"\n",
" viewBox=\"0.00 0.00 227.00 188.48\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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" viewBox=\"0.00 0.00 227.00 164.45\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<text text-anchor=\"start\" x=\"55\" y=\"-28.7822\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1,0</text>\n",
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"<text text-anchor=\"start\" x=\"55\" y=\"-17.7473\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1,0</text>\n",
"</g>\n",
"<!-- I&#45;&gt;0 -->\n",
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"<title>I&#45;&gt;0</title>\n",
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"</g>\n",
"<!-- 0&#45;&gt;0 -->\n",
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"<title>0&#45;&gt;0</title>\n",
"<path fill=\"none\" stroke=\"#000000\" d=\"M57.1448,-49.8921C55.6785,-59.5701 58.2969,-68.4822 65,-68.4822 69.9226,-68.4822 72.6423,-63.6758 73.1591,-57.2894\"/>\n",
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"<path fill=\"none\" stroke=\"#e31a1c\" stroke-width=\"2\" d=\"M182.9293,-38.5891C177.5936,-56.0323 180.6172,-75.4473 192,-75.4473 201.871,-75.4473 205.4558,-60.8469 202.7543,-45.5934\"/>\n",
"<polygon fill=\"#e31a1c\" stroke=\"#e31a1c\" stroke-width=\"2\" points=\"201.0707,-38.5891 205.7695,-44.659 202.3749,-41.8753 203.1929,-45.2784 202.7067,-45.3952 202.2206,-45.5121 201.4025,-42.109 199.644,-46.1315 201.0707,-38.5891 201.0707,-38.5891\"/>\n",
"<text text-anchor=\"start\" x=\"188.5\" y=\"-94.2473\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
"<text text-anchor=\"start\" x=\"184\" y=\"-79.2473\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"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": {},
@ -1336,7 +1322,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7c6f0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d8a0> >"
]
},
"metadata": {},
@ -1391,7 +1377,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7c2a0> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d780> >"
]
},
"metadata": {},
@ -1623,7 +1609,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7f65e4b7c9f0> >"
"<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7f0128e6db40> >"
]
},
"metadata": {},
@ -1711,7 +1697,7 @@
"</svg>\n"
],
"text/plain": [
"<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> >"
]
},
"metadata": {},
@ -1808,7 +1794,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f65e4b7c510> >"
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d180> >"
]
},
"metadata": {},
@ -1976,7 +1962,7 @@
"</svg>\n"
],
"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": 18,
@ -2144,7 +2130,7 @@
"</svg>\n"
],
"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,
@ -2307,7 +2293,7 @@
"</svg>\n"
],
"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> >"
]
},
"metadata": {},
@ -2771,6 +2757,13 @@
"spot.highlight_languages(aut)\n",
"aut.show('.bas')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {

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tests/python/product.ipynb
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