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print_dot: improve aiger rendering

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* spot/twaalgos/dot.cc: Improve the aiger printer by using a more
traditional dot syntax, indenting the output, adding some hard-coded
colors, fixing a bug in the negation of latch inputs, and rotating the
triangles for horizontal output.
* tests/python/synthesis.ipynb: Adjust expected output, and add
an example of horizontal layout.
This commit is contained in:
Alexandre Duret-Lutz 2021-10-29 23:06:45 +02:00
parent 753d572e4d
commit 3be79ea476
2 changed files with 333 additions and 302 deletions
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177
spot/twaalgos/dot.cc
View file

@ -1196,11 +1196,6 @@ namespace spot
{
if (!circuit)
return;
auto is_input = [nb_in = circuit->num_inputs()](unsigned val)
{
return (val & ~1) <= (2 * nb_in);
};
const auto& in_names = circuit->input_names();
const auto& out_names = circuit->output_names();
@ -1212,56 +1207,92 @@ namespace spot
auto num_gates = circuit->num_gates();
auto gates = circuit->gates();
// If a circuit doesn't use an input, we need a special placement
bool uses_in = false;
auto add_edge = [](std::ostream &stream, const unsigned src,
const unsigned dst) {
auto src_gate = src & ~1;
stream << src_gate;
stream << " -> " << dst;
stream << " " << src_gate << " -> " << dst;
if (src & 1)
stream << " [arrowhead=dot]";
stream << '\n';
};
if (vertical)
os_ << "digraph \"\" {\nrankdir = BT;\n";
os_ << "digraph \"\" {\n rankdir = BT\n";
else
os_ << "digraph \"\" {\nrankdir = LR;\n";
os_ << "digraph \"\" {\n rankdir = LR\n";
os_ << "# latches left\n";
os_ << " {\n rank = same\n"
" node [shape=box,style=filled,fillcolor=\"#ffe6cc\"]\n";
for (unsigned i = 0; i < num_latches; ++i)
{
auto first = circuit->latch_var(i);
auto first_m_mod = first & ~1;
os_ << "node[shape=box, label=\"L" << i << "_out\"] "
<< first_m_mod << ";\n";
auto first_m_mod = circuit->latch_var(i) & ~1;
os_ << " " << first_m_mod << " [label=\"L" << i << "_out\"]\n";
}
//Predefine all nodes
os_ << "# input nodes\n";
for (unsigned i = 0; i < num_inputs; ++i)
os_ << "node [shape=triangle, label=\""
<< in_names[i] << "\"] "
<< circuit->input_var(i) << ";\n";
os_ << "# latch nodes\n";
for (unsigned i = 0; i < num_latches; ++i)
os_ << "node[shape=box, label=\"L" << i << "\"] L" << i << ";\n";
os_ << "# gate nodes\n";
os_ << " }\n";
if (num_gates)
{
os_ << " node [shape=circle,style=solid]\n";
for (unsigned i = 0; i < num_gates; ++i)
if ((gates[i].first != 0) && (gates[i].second != 0))
{
uses_in |= is_input(gates[i].first) | is_input(gates[i].second);
auto gate_var = circuit->gate_var(i);
os_ << "node [shape=circle, label=\"" << gate_var
<< "\"] " << gate_var << ";\n";
os_ << " " << circuit->gate_var(i) << '\n';
}
bool has_false = false;
if (num_latches)
{
os_ << " {\n rank=same\n"
" node [shape=box,style=filled,"
"fillcolor=\"#ffe6cc\",label=\"\\N_in\"]\n";
for (unsigned i = 0; i < num_latches; ++i)
{
os_ << " L" << i << '\n';
if (latches[i] <= 1)
has_false = true;
}
os_ << " }\n";
}
const char* out_pos = vertical ? ":s" : ":w";
const char* rotate = vertical ? "" : ",orientation=-90";
if (num_outputs)
{
os_ << " {\n rank = sink\n "
"node [shape=invtriangle,style=filled,fillcolor=\"#ffe5f1\""
<< rotate << "]\n";
for (unsigned i = 0; i < num_outputs; ++i)
{
os_ << " o" << i << " [label=\"" << out_names[i] << "\"]\n";
if (outputs[i] <= 1)
has_false = true;
}
os_ << " }\n";
}
if (num_inputs | has_false)
{
os_ << " {\n rank=source\n"
" node [shape=triangle,style=filled,fillcolor=\"#e9f4fb\""
<< rotate << "]\n";
for (unsigned i = 0; i < num_inputs; ++i)
os_ << " " << circuit->input_var(i)
<< " [label=\"" << in_names[i] << "\"]\n";
if (has_false)
os_ <<
" 0 [shape=box,fillcolor=\"#ffe6cc\",label=\"False\"]\n";
os_ << " }\n";
}
for (unsigned i = 0; i < num_outputs; ++i)
{
auto z = outputs[i];
os_ << " " << (z & ~1) << " -> o" << i << out_pos;
if (z & 1)
os_ << " [arrowhead=dot]";
os_ << '\n';
}
for (unsigned i = 0; i < num_latches; ++i)
{
os_ << " " << (latches[i] & ~1) << " -> L" << i;
if (latches[i] & 1)
os_ << " [arrowhead=dot]";
os_ << '\n';
}
os_ << "# and ins\n";
for (unsigned i = 0; i < num_gates; ++i)
if ((gates[i].first != 0) && (gates[i].second != 0))
{
@ -1269,76 +1300,6 @@ namespace spot
add_edge(os_, gates[i].first, gate_var);
add_edge(os_, gates[i].second, gate_var);
}
bool has_alone_gate = false;
os_ << "# Latches\n";
for (unsigned i = 0; i < num_latches; ++i)
{
auto second = latches[i];
os_ << "node[shape=box, label=\"L" << i << "_in\"] L" << i << ";\n";
if (second <= 1 && !has_alone_gate)
{
os_ << "node[shape=box, label=\"Const\"] 0" << std::endl;
has_alone_gate = true;
}
os_ << (second & ~1) << " -> L" << i;
if (i & 1)
os_ << "[arrowhead=dot]";
os_ << '\n';
}
// Outs can be defined after everything else
os_ << "# Outs\n";
const char* out_pos = vertical ? ":s" : ":w";
for (unsigned i = 0; i < num_outputs; ++i)
{
os_ << "node [shape=triangle, orientation=180, label=\""
<< out_names[i] << "\"] o" << i
<< out_names[i] << ";\n";
auto z = outputs[i];
uses_in |= is_input(z);
if (z <= 1 && !has_alone_gate)
{
os_ << "node[shape=box, label=\"Const\"] 0" << std::endl;
has_alone_gate = true;
}
os_ << (z & ~1) << "->" << 'o' << i << out_names[i] << out_pos;
if (outputs[i] & 1)
os_ << " [arrowhead=dot]";
os_ << '\n';
}
if (has_alone_gate || num_inputs > 0)
{
os_ << (uses_in ? "{rank = source; " : "{rank = same; ");
for (unsigned i = 0; i < num_inputs; ++i)
os_ << circuit->input_var(i) << "; ";
if (has_alone_gate)
os_ << "0; ";
os_ << "}\n";
}
if (num_outputs > 0)
{
os_ << "{rank = sink; ";
for (unsigned i = 0; i < num_outputs; ++i)
os_ << 'o' << i << out_names[i] << "; ";
os_ << "}\n";
}
if (num_latches > 0)
{
os_ << "{rank = same; ";
for (unsigned i = 0; i < num_latches; ++i)
os_ << 'L' << i << "; ";
os_ << "}\n{rank = same; ";
for (unsigned i = 0; i < num_latches; ++i)
{
auto first = circuit->latch_var(i);
auto first_m_mod = first & ~1;
os_ << first_m_mod << "; ";
}
os_ << "}\n";
}
os_ << "}\n";
}
};

458
tests/python/synthesis.ipynb
View file

@ -696,7 +696,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4e7018b5a0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6c003de2a0> >"
]
},
"metadata": {},
@ -2713,7 +2713,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4e700b8150> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6c005968d0> >"
]
},
"execution_count": 5,
@ -3039,7 +3039,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4e700b87b0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6c003de630> >"
]
},
"execution_count": 6,
@ -3060,7 +3060,7 @@
"\n",
"A strategy can be converted to a circuit in the [AIGER format](http://fmv.jku.at/aiger/FORMAT.aiger) using `strategy_to_aig()`. This takes a second argument specifying what type of encoding to use (exactly like `ltlsynt`'s `--aiger=...` option). \n",
"\n",
"In this case, the circuit is quite simple: `o0` should be the negation of previous value of `i1`. This is done by storing the value of `i1` in a latch. And the value if `i0` can be ignored."
"In this case, the circuit is quite simple: `o0` should be the negation of previous value of `i1`. This is done by storing the value of `i1` in a latch. And the value of `i0` can be ignored."
]
},
{
@ -3085,74 +3085,144 @@
"<!-- 6 -->\n",
"<g id=\"node1\" class=\"node\">\n",
"<title>6</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"76.7,-118 11.7,-118 11.7,-82 76.7,-82 76.7,-118\"/>\n",
"<polygon fill=\"#ffe6cc\" stroke=\"black\" points=\"76.7,-118 11.7,-118 11.7,-82 76.7,-82 76.7,-118\"/>\n",
"<text text-anchor=\"middle\" x=\"44.2\" y=\"-96.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_out</text>\n",
"</g>\n",
"<!-- o0o0 -->\n",
"<g id=\"node5\" class=\"node\">\n",
"<title>o0o0</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"44.2,-154 88.59,-188.5 -0.2,-188.5 44.2,-154\"/>\n",
"<!-- o0 -->\n",
"<g id=\"node3\" class=\"node\">\n",
"<title>o0</title>\n",
"<polygon fill=\"#ffe5f1\" stroke=\"black\" points=\"44.2,-154 88.59,-188.5 -0.2,-188.5 44.2,-154\"/>\n",
"<text text-anchor=\"middle\" x=\"44.2\" y=\"-173.3\" font-family=\"Times,serif\" font-size=\"14.00\">o0</text>\n",
"</g>\n",
"<!-- 6&#45;&gt;o0o0 -->\n",
"<g id=\"edge2\" class=\"edge\">\n",
"<title>6&#45;&gt;o0o0:s</title>\n",
"<!-- 6&#45;&gt;o0 -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<title>6&#45;&gt;o0:s</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M44.2,-118.19C44.2,-126.29 44.2,-136.29 44.2,-145.98\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"44.2\" cy=\"-150\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"<!-- 2 -->\n",
"<!-- L0 -->\n",
"<g id=\"node2\" class=\"node\">\n",
"<title>L0</title>\n",
"<polygon fill=\"#ffe6cc\" stroke=\"black\" points=\"149.7,-118 94.7,-118 94.7,-82 149.7,-82 149.7,-118\"/>\n",
"<text text-anchor=\"middle\" x=\"122.2\" y=\"-96.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_in</text>\n",
"</g>\n",
"<!-- 2 -->\n",
"<g id=\"node4\" class=\"node\">\n",
"<title>2</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"122.2,-46 83.2,-11.5 161.19,-11.5 122.2,-46\"/>\n",
"<polygon fill=\"#e9f4fb\" stroke=\"black\" points=\"122.2,-46 83.2,-11.5 161.19,-11.5 122.2,-46\"/>\n",
"<text text-anchor=\"middle\" x=\"122.2\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">i1</text>\n",
"</g>\n",
"<!-- L0 -->\n",
"<g id=\"node4\" class=\"node\">\n",
"<title>L0</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"149.2,-118 95.2,-118 95.2,-82 149.2,-82 149.2,-118\"/>\n",
"<text text-anchor=\"middle\" x=\"122.2\" y=\"-96.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0</text>\n",
"</g>\n",
"<!-- 2&#45;&gt;L0 -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<g id=\"edge2\" class=\"edge\">\n",
"<title>2&#45;&gt;L0</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M122.2,-46.1C122.2,-54.12 122.2,-63.28 122.2,-71.69\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"118.7,-71.82 122.2,-81.82 125.7,-71.82 118.7,-71.82\"/>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M122.2,-46.1C122.2,-54.74 122.2,-64.71 122.2,-73.64\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"122.2\" cy=\"-77.82\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"<!-- 4 -->\n",
"<g id=\"node3\" class=\"node\">\n",
"<g id=\"node5\" class=\"node\">\n",
"<title>4</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"218.2,-46 179.2,-11.5 257.19,-11.5 218.2,-46\"/>\n",
"<polygon fill=\"#e9f4fb\" stroke=\"black\" points=\"218.2,-46 179.2,-11.5 257.19,-11.5 218.2,-46\"/>\n",
"<text text-anchor=\"middle\" x=\"218.2\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">i0</text>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text/plain": [
"<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7f4e700b8390> >"
"<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7f6c004d8870> >"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"aag 3 2 1 1 0\n",
"2\n",
"4\n",
"6 3\n",
"7\n",
"i0 i1\n",
"i1 i0\n",
"o0 o0\n"
]
}
],
"source": [
"aig = spot.strategy_to_aig(strat, \"isop\")\n",
"display(aig)\n",
"print(aig.to_str())"
"display(aig)"
]
},
{
"cell_type": "markdown",
"id": "a7100505",
"metadata": {},
"source": [
"While we are at it, let us mention that you can render those circuits horizontally as follows:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "8272357d",
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
"<!-- Generated by graphviz version 2.43.0 (0)\n",
" -->\n",
"<!-- Pages: 1 -->\n",
"<svg width=\"311pt\" height=\"172pt\"\n",
" viewBox=\"0.00 0.00 311.39 172.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
"<g id=\"graph0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 168)\">\n",
"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-168 307.39,-168 307.39,4 -4,4\"/>\n",
"<!-- 6 -->\n",
"<g id=\"node1\" class=\"node\">\n",
"<title>6</title>\n",
"<polygon fill=\"#ffe6cc\" stroke=\"black\" points=\"178.99,-41 113.99,-41 113.99,-5 178.99,-5 178.99,-41\"/>\n",
"<text text-anchor=\"middle\" x=\"146.49\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_out</text>\n",
"</g>\n",
"<!-- o0 -->\n",
"<g id=\"node3\" class=\"node\">\n",
"<title>o0</title>\n",
"<polygon fill=\"#ffe5f1\" stroke=\"black\" points=\"214.8,-23 281.39,0 281.39,-46 214.8,-23\"/>\n",
"<text text-anchor=\"middle\" x=\"259.19\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">o0</text>\n",
"</g>\n",
"<!-- 6&#45;&gt;o0 -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<title>6&#45;&gt;o0:w</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M179.09,-23C187.85,-23 197.52,-23 206.88,-23\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"210.99\" cy=\"-23\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"<!-- L0 -->\n",
"<g id=\"node2\" class=\"node\">\n",
"<title>L0</title>\n",
"<polygon fill=\"#ffe6cc\" stroke=\"black\" points=\"173.99,-95 118.99,-95 118.99,-59 173.99,-59 173.99,-95\"/>\n",
"<text text-anchor=\"middle\" x=\"146.49\" y=\"-73.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_in</text>\n",
"</g>\n",
"<!-- 2 -->\n",
"<g id=\"node4\" class=\"node\">\n",
"<title>2</title>\n",
"<polygon fill=\"#e9f4fb\" stroke=\"black\" points=\"77.99,-77 19.5,-100 19.5,-54 77.99,-77\"/>\n",
"<text text-anchor=\"middle\" x=\"39\" y=\"-73.3\" font-family=\"Times,serif\" font-size=\"14.00\">i1</text>\n",
"</g>\n",
"<!-- 2&#45;&gt;L0 -->\n",
"<g id=\"edge2\" class=\"edge\">\n",
"<title>2&#45;&gt;L0</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M78.08,-77C88.7,-77 100.18,-77 110.6,-77\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"114.7\" cy=\"-77\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"<!-- 4 -->\n",
"<g id=\"node5\" class=\"node\">\n",
"<title>4</title>\n",
"<polygon fill=\"#e9f4fb\" stroke=\"black\" points=\"77.99,-141 19.5,-164 19.5,-118 77.99,-141\"/>\n",
"<text text-anchor=\"middle\" x=\"39\" y=\"-137.3\" font-family=\"Times,serif\" font-size=\"14.00\">i0</text>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text/plain": [
"<spot.jupyter.SVG object>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aig.show('h')"
]
},
{
@ -3176,7 +3246,7 @@
},
{
"cell_type": "code",
"execution_count": 8,
"execution_count": 9,
"id": "efc7c557",
"metadata": {},
"outputs": [
@ -3346,7 +3416,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4e700b8cc0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6c003dec90> >"
]
},
"metadata": {},
@ -3368,62 +3438,62 @@
"<!-- 4 -->\n",
"<g id=\"node1\" class=\"node\">\n",
"<title>4</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"65,-118 0,-118 0,-82 65,-82 65,-118\"/>\n",
"<polygon fill=\"#ffe6cc\" stroke=\"black\" points=\"65,-118 0,-118 0,-82 65,-82 65,-118\"/>\n",
"<text text-anchor=\"middle\" x=\"32.5\" y=\"-96.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_out</text>\n",
"</g>\n",
"<!-- 6 -->\n",
"<g id=\"node4\" class=\"node\">\n",
"<g id=\"node2\" class=\"node\">\n",
"<title>6</title>\n",
"<ellipse fill=\"none\" stroke=\"black\" cx=\"62.5\" cy=\"-172\" rx=\"18\" ry=\"18\"/>\n",
"<text text-anchor=\"middle\" x=\"62.5\" y=\"-168.3\" font-family=\"Times,serif\" font-size=\"14.00\">6</text>\n",
"</g>\n",
"<!-- 4&#45;&gt;6 -->\n",
"<g id=\"edge2\" class=\"edge\">\n",
"<g id=\"edge4\" class=\"edge\">\n",
"<title>4&#45;&gt;6</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M39.92,-118.3C43.66,-127.03 48.25,-137.76 52.32,-147.25\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"54.01\" cy=\"-151.18\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"<!-- 2 -->\n",
"<g id=\"node2\" class=\"node\">\n",
"<title>2</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"93.5,-46 54.51,-11.5 132.49,-11.5 93.5,-46\"/>\n",
"<text text-anchor=\"middle\" x=\"93.5\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">i0</text>\n",
"</g>\n",
"<!-- 2&#45;&gt;6 -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<title>2&#45;&gt;6</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M89.77,-43.11C86.03,-62.12 80.05,-92.11 74.5,-118 72.67,-126.56 70.58,-135.88 68.68,-144.29\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"65.2,-143.78 66.38,-154.31 72.02,-145.34 65.2,-143.78\"/>\n",
"</g>\n",
"<!-- L0 -->\n",
"<g id=\"node3\" class=\"node\">\n",
"<title>L0</title>\n",
"<polygon fill=\"none\" stroke=\"black\" points=\"62.5,-262 8.5,-262 8.5,-226 62.5,-226 62.5,-262\"/>\n",
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"<polygon fill=\"#ffe6cc\" stroke=\"black\" points=\"62,-262 7,-262 7,-226 62,-226 62,-262\"/>\n",
"<text text-anchor=\"middle\" x=\"34.5\" y=\"-240.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_in</text>\n",
"</g>\n",
"<!-- 6&#45;&gt;L0 -->\n",
"<g id=\"edge3\" class=\"edge\">\n",
"<g id=\"edge2\" class=\"edge\">\n",
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"<title>2&#45;&gt;6</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M56.74,-35.07C70.27,-47 92.03,-66.21 108.18,-80.46\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"106.23,-83.4 116.04,-87.39 110.86,-78.15 106.23,-83.4\"/>\n",
"</g>\n",
"<!-- 2&#45;&gt;8 -->\n",
"<g id=\"edge5\" class=\"edge\">\n",
"<title>2&#45;&gt;8</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M49.17,-41.77C51.92,-51.58 55.37,-63.89 58.36,-74.59\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"59.46\" cy=\"-78.53\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"<!-- 4 -->\n",
"<g id=\"node7\" class=\"node\">\n",
"<title>4</title>\n",
"<polygon fill=\"#e9f4fb\" stroke=\"black\" points=\"140.2,-46 101.2,-11.5 179.19,-11.5 140.2,-46\"/>\n",
"<text text-anchor=\"middle\" x=\"140.2\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">i1</text>\n",
"</g>\n",
"<!-- 4&#45;&gt;6 -->\n",
"<g id=\"edge4\" class=\"edge\">\n",
"<title>4&#45;&gt;6</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M137.31,-43.71C136.05,-52.28 134.55,-62.48 133.19,-71.76\"/>\n",
"<polygon fill=\"black\" stroke=\"black\" points=\"129.72,-71.32 131.73,-81.72 136.64,-72.34 129.72,-71.32\"/>\n",
"</g>\n",
"<!-- 4&#45;&gt;8 -->\n",
"<g id=\"edge6\" class=\"edge\">\n",
"<title>4&#45;&gt;8</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M128.48,-35.72C116.36,-47.83 97.3,-66.9 83.26,-80.94\"/>\n",
"<ellipse fill=\"black\" stroke=\"black\" cx=\"80.41\" cy=\"-83.79\" rx=\"4\" ry=\"4\"/>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text/plain": [
"<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7f4e700b8e40> >"
"<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7f6c00530750> >"
]
},
"metadata": {},
@ -3722,7 +3792,7 @@
},
{
"cell_type": "code",
"execution_count": 12,
"execution_count": 13,
"id": "000f3948",
"metadata": {},
"outputs": [
@ -3751,7 +3821,7 @@
},
{
"cell_type": "code",
"execution_count": 13,
"execution_count": 14,
"id": "60e8b21a",
"metadata": {},
"outputs": [
@ -3777,7 +3847,7 @@
},
{
"cell_type": "code",
"execution_count": 14,
"execution_count": 15,
"id": "f5d49a9e",
"metadata": {},
"outputs": [
@ -3820,10 +3890,10 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4e700b8cf0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6c003c2300> >"
]
},
"execution_count": 14,
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}