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parity: add spot::colorize_parity()

Browse source 
These functions colorize automata with parity acceptance. They output
parity automata.

* spot/twaalgos/parity.cc, spot/twaalgos/parity.hh: Here
* tests/core/parity.cc: Add tests for spot::colorize_parity()
* tests/python/parity.ipynb: Add documentation about
spot::colorize_parity()
This commit is contained in:
Laurent XU 2016-06-01 14:34:19 +02:00
parent 27982fb80f
commit 0bf0a99d6d
4 changed files with 767 additions and 2 deletions
Download patch file Download diff file Expand all files Collapse all files

56
spot/twaalgos/parity.cc
View file

@ -146,4 +146,60 @@ namespace spot
change_style, output_max, current_max);
return aut;
}
twa_graph_ptr
colorize_parity(const const_twa_graph_ptr& aut, bool keep_style)
{
return colorize_parity_here(make_twa_graph(aut, twa::prop_set::all()),
keep_style);
}
twa_graph_ptr
colorize_parity_here(twa_graph_ptr aut, bool keep_style)
{
bool current_max;
bool current_odd;
if (!aut->acc().is_parity(current_max, current_odd, true))
throw new std::invalid_argument("colorize_parity: input "
"must have a parity acceptance.");
bool has_empty = false;
for (const auto& e: aut->edges())
if (!e.acc)
{
has_empty = true;
break;
}
auto num_sets = aut->num_sets();
int incr = 0;
if (has_empty)
{
// If the automaton has a transition that belong to any set, we need to
// introduce a new acceptance set.
// We may want to add a second acceptance set to keep the style of
// the parity acceptance
incr = 1 + (keep_style && current_max);
num_sets += incr;
bool new_style = current_odd == (keep_style || !current_max);
auto new_acc = acc_cond::acc_code::parity(current_max,
new_style, num_sets);
aut->set_acceptance(num_sets, new_acc);
}
if (current_max)
{
--incr;
for (auto& e: aut->edges())
{
auto maxset = e.acc.max_set();
e.acc = acc_cond::mark_t{maxset ? maxset + incr : incr};
}
}
else
{
auto unused_mark = num_sets - incr;
for (auto& e: aut->edges())
e.acc = e.acc ? e.acc.lowest() : acc_cond::mark_t{unused_mark};
}
return aut;
}
}

22
spot/twaalgos/parity.hh
View file

@ -87,5 +87,27 @@ namespace spot
SPOT_API twa_graph_ptr
change_parity_here(twa_graph_ptr aut, parity_kind kind, parity_style style);
/// @}
/// \brief Colorize an automaton with parity acceptance
///
/// An automaton is said colored iff all the transitions belong to exactly one
/// acceptance set. The algorithm achieves thiat by removing superfluous
/// acceptance marks. It may introduce a new set to mark the transitions with
/// no acceptance sets and a second set may be introduced to keep the style.
/// The input must be an automaton with a parity acceptance, otherwise an
/// invalid_argument exception is thrown.
///
/// \param aut the input automaton
///
/// \param keep_style whether the style of the parity acc is kept.
///
/// \return the colorized automaton
/// @{
SPOT_API twa_graph_ptr
colorize_parity(const const_twa_graph_ptr& aut, bool keep_style = false);
SPOT_API twa_graph_ptr
colorize_parity_here(twa_graph_ptr aut, bool keep_style = false);
/// @}
/// @}
}

42
tests/core/parity.cc
View file

@ -22,6 +22,7 @@
#include <vector>
#include <spot/twaalgos/dualize.hh>
#include <spot/twaalgos/hoa.hh>
#include <spot/twaalgos/iscolored.hh>
#include <spot/twaalgos/parity.hh>
#include <spot/twaalgos/product.hh>
#include <spot/twaalgos/randomgraph.hh>
@ -269,6 +270,32 @@ static bool is_almost_colored(spot::const_twa_graph_ptr aut)
return true;
}
static bool is_colored_printerr(spot::const_twa_graph_ptr aut)
{
bool result = is_colored(aut);
if (!result)
{
std::cerr << "======Not colored======" << std::endl;
spot::print_hoa(std::cerr, aut);
std::cerr << std::endl;
}
return result;
}
static spot::parity_kind to_parity_kind(bool is_max)
{
if (is_max)
return spot::parity_kind_max;
return spot::parity_kind_min;
}
static spot::parity_style to_parity_style(bool is_odd)
{
if (is_odd)
return spot::parity_style_odd;
return spot::parity_style_even;
}
int main()
{
auto current_bdd = spot::make_bdd_dict();
@ -323,6 +350,21 @@ int main()
assert(is_almost_colored(output)
&& "change_parity: too many acc on a transition");
}
// Check colorize_parity
for (auto keep_style: { true, false })
{
auto output = spot::colorize_parity(aut, keep_style);
assert(is_colored_printerr(output)
&& "colorize_parity: not colored.");
assert(are_equiv(aut, output)
&& "colorize_parity: not equivalent.");
auto target_kind = to_parity_kind(is_max);
auto target_style = keep_style ? to_parity_style(is_odd)
: spot::parity_style_any;
assert(is_right_parity(output, target_kind, target_style,
is_max, is_odd, acc_num_sets)
&& "change_parity: wrong acceptance.");
}
}
}
return 0;

645
tests/python/parity.ipynb
View file

@ -1303,6 +1303,651 @@
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Colorize parity\n",
"An automaton with a parity acceptance is not necessarily a parity automaton. It must be colored to be qualified like this.\n",
"## Parity max\n",
"Transitions with multiple acceptance sets are purified by keeping only the set with the greatest index.\n",
"<br>\n",
"If there is a transition that do not belong to any acceptance set, a new acceptance set is introduced at the least significant place.\n",
"<br>\n",
"The least significant place of a parity max acceptance is where the indexes are the lowest, so all the existing acceptance sets' indexes will be shifted.\n",
"#### Colorize parity max odd 4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aut_max_odd4 = tuple(spot.automata(\"randaut -A 'parity max odd 4' -Q4 2|\"))[0]\n",
"display(aut_max_odd4.show(\".a\"))"
],
"language": "python",
"metadata": {},
"outputs": [
{
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},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The new acceptance sets are:\n",
"+ \u2205 -> 0\n",
"+ 0 -> 1\n",
"+ 1 -> 2\n",
"+ 2 -> 3\n",
"+ 3 -> 4\n",
"\n",
"#### The result of colorizing the given parity max odd 4 is"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aut_max_odd4_colored = spot.colorize_parity(aut_max_odd4, False)\n",
"display(aut_max_odd4_colored.show(\".a\"))"
],
"language": "python",
"metadata": {},
"outputs": [
{
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"You can notice that the **style** has been toggled.\n",
"<br>\n",
"To prevent colorize_parity from this we can add one extra acceptance set in the acceptance condition.\n",
"\n",
"The new acceptance sets are now:\n",
"+ \u2205 -> 1\n",
"+ 0 -> 2\n",
"+ 1 -> 3\n",
"+ 2 -> 4\n",
"+ 3 -> 5\n",
"#### The result of colorizing the given parity max odd 4 without changing the style is"
]
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"## Parity min\n",
"Transitions with multiple acceptance sets are purified by keeping only the set with the lowest index.\n",
"<br>\n",
"If there is a transition that do not belong to any acceptance set, a new acceptance set is introduced at the least significant place.\n",
"<br>\n",
"The least significant place of a parity min acceptance is where the indexes are the greatest.\n",
"#### Colorize parity min odd 4"
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"The new acceptance sets are:\n",
"+ \u2205 -> 4\n",
"+ 0 -> 0\n",
"+ 1 -> 1\n",
"+ 2 -> 2\n",
"+ 3 -> 3\n",
"\n",
"#### The result of colorizing the given parity max odd 4 is"
]
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"aut_min_odd4_colored_bis = spot.colorize_parity(aut_min_odd4, True)\n",
"display(aut_min_odd4_colored_bis.show(\".a\"))"
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"Remark: colorizing a parity min won't change the **style** of the acceptance."
]
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