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spot/tests/python/word.ipynb
Alexandre Duret-Lutz 774895418a * tests/python/word.ipynb: Add a new test and some comments.
2016-03-08 12:14:14 +01:00

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"source": [
"Let's build a small automaton to use as example."
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"input": [
"aut = spot.translate('G(Fa <-> Xb)'); aut"
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"The call to `couvreur99()` just instanciate the emptiness check, but does not run the check. Calling `check()` will return `None` if no accepting run was found. Otherwise the presence of the accepting run is established, but an accepting run hasn't necessarily been calculated: calling `accepting_run()` on the result will cause this computation to happen.\n",
"\n",
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"In the example below, we do not check the result of `check()` because we know that the input formula is satisfiable, so the automaton has an accepting run."
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"input": [
"run = spot.couvreur99(aut).check().accepting_run(); run"
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"text": [
"Prefix:\n",
" 0\n",
" | !a\n",
"Cycle:\n",
" 1\n",
" | a & b\t{0}\n",
" 2\n",
" | !a & b"
]
}
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"source": [
"Accessing the contents of the run can be done via the `prefix` and `cycle` lists."
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"cell_type": "code",
"collapsed": false,
"input": [
"print(spot.bdd_format_formula(aut.get_dict(), run.prefix[0].label))\n",
"print(run.cycle[0].acc)"
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"stream": "stdout",
"text": [
"!a\n",
"{0}\n"
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}
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"source": [
"To convert the run into a word, using `spot.twa_word()`. Note that our runs are labeled by Boolean formulas that are not necessarily a conjunction of all involved litterals. The word is just the projection of the run on its labels."
]
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"cell_type": "code",
"collapsed": false,
"input": [
"word = spot.twa_word(run); word"
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"output_type": "pyout",
"prompt_number": 5,
"text": [
"!a; cycle{a & b; !a & b}"
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}
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"cell_type": "markdown",
"metadata": {},
"source": [
"Accessing the different formulas (stored as BDDs) can be done again via the `prefix` and `cycle` lists."
]
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"cell_type": "code",
"collapsed": false,
"input": [
"print(spot.bdd_format_formula(aut.get_dict(), word.prefix[0]))\n",
"print(spot.bdd_format_formula(aut.get_dict(), word.cycle[0]))\n",
"print(spot.bdd_format_formula(aut.get_dict(), word.cycle[1]))"
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"output_type": "stream",
"stream": "stdout",
"text": [
"!a\n",
"a & b\n",
"!a & b\n"
]
}
],
"prompt_number": 6
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"cell_type": "markdown",
"metadata": {},
"source": [
"Calling `simplifify()` will produce a shorter word that is compatible with the original word. For instance in the above word, the initial `!a` is compatible with both `a & b` and `!a & b`. The word obtained by restricting `!a` to `!a & b` is therefore still accepted, but it allows removing the prefix by rotating the cycle:"
]
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"collapsed": false,
"input": [
"word.simplify()\n",
"word"
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"language": "python",
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"output_type": "pyout",
"prompt_number": 7,
"text": [
"cycle{!a & b; a & b}"
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"source": [
"Words can be created using the `parse_word` function:"
]
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"collapsed": false,
"input": [
"print(spot.parse_word('a; b; cycle{a&b}'))\n",
"print(spot.parse_word('cycle{a&bb|bac&(aaa|bbb)}'))\n",
"print(spot.parse_word('a; b;b; qiwuei;\"a;b&c;a\" ;cycle{a}'))"
],
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"a; b; cycle{a & b}\n",
"cycle{(a & bb) | (aaa & bac) | (bac & bbb)}\n",
"a; b; b; qiwuei; \"a;b&c;a\"; cycle{a}\n"
]
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"input": [
"# make sure that we can parse a word back after it has been printed\n",
"spot.parse_word(str(spot.parse_word('a;b&a;cycle{!a&!b}')))"
],
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"Words can be easily converted as automata"
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"input": [
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"outputs": [],
"prompt_number": 10
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"cell_type": "code",
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"input": [
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"<path fill=\"none\" stroke=\"black\" d=\"M362.276,-13.9842C349.433,-11.115 331.209,-7.50646 315,-6 299.069,-4.51934 294.922,-4.4234 279,-6 266.86,-7.20214 253.537,-9.74069 242.536,-12.1747\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"235.677,-13.744 241.798,-9.11188 239.089,-12.9632 242.501,-12.1825 242.501,-12.1825 242.501,-12.1825 239.089,-12.9632 243.204,-15.2532 235.677,-13.744 235.677,-13.744\"/>\n",
"<text text-anchor=\"start\" x=\"293.5\" y=\"-9.8\" font-family=\"Lato\" font-size=\"14.00\">a</text>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fcdb40da8d0> >"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Test some syntax errors"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(spot.parse_word('a; b&!a; b'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "\n>>> a; b&!a; b\n ^\nA twa_word must contain a cycle\n (<string>)",
"output_type": "pyerr",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; b&!a; b\n ^\nA twa_word must contain a cycle\n\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(spot.parse_word('a; b; c}'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "\n>>> a; b; c}\n ^\nExpected ';' delimiter: '}' stands for ending a cycle\n (<string>)",
"output_type": "pyerr",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; b; c}\n ^\nExpected ';' delimiter: '}' stands for ending a cycle\n\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(spot.parse_word('a; cycle{}'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "\n>>> a; cycle{}\n ^\nempty input\n\n (<string>)",
"output_type": "pyerr",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; cycle{}\n ^\nempty input\n\n\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(spot.parse_word('a; cycle{!a}; a'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "\n>>> a; cycle{!a}; a\n ^\nInput should be finished after cycle\n (<string>)",
"output_type": "pyerr",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; cycle{!a}; a\n ^\nInput should be finished after cycle\n\n"
]
}
],
"prompt_number": 15
}
],
"metadata": {}
}
]
}
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