def saddle_connections(self, connections):
from ipyvue_flatsurf.encoding.saddle_connection_encoding import encode_saddle_connection
self._saddle_connections = connections
self.saddle_connections_prop = [
VueFlatsurfWidget._to_yaml(encode_saddle_connection(connection))
for connection in connections
]
def encoded(self):
r"""
Return an encoded version of this flow component.
"""
start, end = self.in_component
inside = [
halfEdge for halfEdge in self.surface.halfEdges()
if start[halfEdge] and end[halfEdge] and not any(
isinstance(touch, Crossing)
for touch in self.touches[halfEdge])
]
touches = {
halfEdge: [(touch.step, touch.n, i)
for (i, touch) in enumerate(self.touches[halfEdge])]
for halfEdge in self.touches
}
touches = {
step: sorted([(touch[1], halfEdge.id(), touch[2])
for halfEdge in touches
for touch in touches[halfEdge] if touch[0] == step])
for connection in self.perimeter
for step in self.pullback(connection.saddleConnection())
}
from ipyvue_flatsurf.encoding.saddle_connection_encoding import encode_saddle_connection
return {
"cylinder":
bool(self.component.cylinder()),
"perimeter": [
dict(
vertical=connection.vertical(),
boundary=connection.boundary(),
touches=[{
"halfEdge": touch[1],
"index": touch[2],
} for touch in touches[step]],
**encode_saddle_connection(step),
) for connection in self.perimeter
for step in self.pullback(connection.saddleConnection())
],
"inside": [halfEdge.id() for halfEdge in inside],
}
def encode_path(path):
r"""
Return the path encoded as a primitive type.
EXAMPLES::
>>> from flatsurf import translation_surfaces, GL2ROrbitClosure
>>> S = translation_surfaces.square_torus()
>>> O = GL2ROrbitClosure(S)
>>> D = next(O.decompositions(bound=64))
>>> component = D.decomposition.components()[0]
>>> perimeter = component.perimeter()
>>> from pyflatsurf import flatsurf
>>> from flatsurf.geometry.pyflatsurf_conversion import to_pyflatsurf
>>> path = flatsurf.Path[type(to_pyflatsurf(S))]([connection.saddleConnection() for connection in perimeter])
>>> encode_path(path)
{'connections': ...}
"""
return {
'connections': [encode_saddle_connection(connection) for connection in path]
}