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import numpy as np
class Dart:
_mesh_type: type = None
def __init__(self, m: _mesh_type, dart_id: int):
"""
A dart is defined from the mesh_struct it belongs to, and an id, which is the index
in the mesh_struct container where the dart is stored. In this container, the dart d may be
defined by 5 fields:
- the id of the dart
- the id of the beta1(d),
- the id of beta2(d)
- the id of the node d is coming from
- the id of the face d it belongs to
When a dart is created, it doesn't know any node or face
:param m: a mesh_struct
:param id: a index, that corresponds to the location of the dart data in the mesh_struct dart container
"""
self.mesh = m
if not isinstance(dart_id, (int, np.integer)):
raise ValueError(f"The id must be an integer, {dart_id} is type {type(dart_id)}.")
self.id = dart_id
def __eq__(self, a_dart: Dart) -> bool:
"""
Equality operator between two darts. It is only based on the mesh_struct and dart info
:param a_dart: another dart
:return: true if the darts are equal, false otherwise
"""
if a_dart is None:
return False
else:
return self.mesh == a_dart.mesh and self.id == a_dart.id
def get_beta(self, i: int) -> Dart:
"""
Get the dart connected to by alpha_i
:param i: alpha dimension
:return: the id of the dart alpha_i(self)
"""
if i < 1 or i > 2:
raise ValueError("Wrong alpha dimension")
if self.mesh.dart_info[self.id, i] == -1:
return None
d2_id = self.mesh.dart_info[self.id, i]
if self.mesh.dart_info[d2_id, 0] <0 :
raise ValueError("Dart deleted")
return Dart(self.mesh, self.mesh.dart_info[self.id, i])
def set_beta(self, i: int, dart_to: Dart) -> None:
"""
Set the dart connected to by alpha_i
:param i: dimension of the beta function
:param dart_to: dart to connect to
:raises ValueError: if the dimension is not valid
"""
if i < 1 or i > 2:
raise ValueError("Wrong alpha dimension")
elif dart_to is None:
self.mesh.dart_info[self.id, i] = -1
else:
self.mesh.dart_info[self.id, i] = dart_to.id
def get_node(self) -> Node:
"""
:return: the embedded node of the dart. It is the node
the dart comes from
:raises ValueError: if there is no embedded node
"""
node_id = self.mesh.dart_info[self.id, 3]
if node_id == -1:
raise ValueError("No associated node found")
elif self.mesh.nodes[node_id, 2] < -1:
raise ValueError("Node deleted")
return Node(self.mesh, node_id)
def set_node(self, node: Node) -> None:
"""
Set the embedded node to the given value
:param node: the embedded node
"""
self.mesh.dart_info[self.id, 3] = node.id
def get_face(self) -> Face:
"""
:return: the embedded face of the dart.
:raises ValueError: if there is no embedded face
"""
face_id = self.mesh.dart_info[self.id, 4]
if face_id == -1:
raise ValueError("No associated face found")
return Face(self.mesh, face_id)
def set_face(self, face: Face) -> None:
"""
Set the embedded face of the dart to the given value
:param face: the face we want embed the dart on
"""
self.mesh.dart_info[self.id, 4] = face.id
def get_quality(self) -> int:
"""
Get the geometric quality around a given dart.
:return: the geometric quality around the dart.
:raises ValueError: if there is no quality dimension
"""
dart_quality = self.mesh.dart_info[self.id, 5]
if dart_quality == -99:
raise ValueError("No quality dimension")
return dart_quality
def is_starred(self) -> int:
"""
Get the geometric quality around a given dart.
:return: the geometric quality around the dart.
:raises ValueError: if there is no quality dimension
"""
is_starred_dart = self.mesh.dart_info[self.id, 6]
if is_starred_dart == -99:
raise ValueError("No starred dimension")
elif is_starred_dart == -1:
return False
elif is_starred_dart == 0:
return False
elif is_starred_dart == 1:
return True
else:
raise ValueError("Not defined starred value")
def set_quality(self, quality: int) -> None:
"""
Set the geometric quality around a given dart. Automatically set the same quality for the twin dart
The quality is a parameter used to determine whether applying an operation to the dart would flip a face.
* For triangular meshes:
The dart's surrounding quality is determined by analyzing the quadrilateral formed by the two adjacent triangles.
The configuration is classified as convex, crossed, or concave.
* For quadrilateral meshes:
The dart's surrounding quality is determined based on whether the associated node forms a "star-shaped" (étoilé) configuration.
:param quality: calculated quality
"""
d2_id = self.mesh.dart_info[self.id, 2]
self.mesh.dart_info[self.id, 5] = quality
if d2_id >=0: # inner dart
self.mesh.dart_info[d2_id, 5] = quality
def set_starred(self, is_starred: int) -> None:
"""
Set if the surrounding nodes form a "star-shaped" polygon. Automatically set the same quality for the twin dart
The starred is a parameter used to determine whether applying an operation to the dart would flip a face.
:param is_starred: 1 if it forms a "star-shaped" polygon, 0 otherwise
"""
d2_id = self.mesh.dart_info[self.id, 2]
self.mesh.dart_info[self.id, 6] = is_starred
if d2_id >=0: # inner dart
self.mesh.dart_info[d2_id, 6] = is_starred
class Node:
_mesh_type: type = None
def __init__(self, m: _mesh_type, node_id: int):
"""
A node is defined by the mesh_struct it belongs to and its id in this
mesh_struct. Node data are stored in an array owned by its mesh_struct. A node
can be understood as a handler to access data in a more abstract
way
:param m: mesh_struct the node belongs to
:param id: node id
"""
self.mesh = m
self.id = node_id
def __eq__(self, a_node: Node) -> bool:
"""
Equality operator between two nodes. It is only based on the mesh_struct and node info and
not on the node coordinate
:param a_node: another node
:return: true if the nodes are equal, false otherwise
"""
return self.mesh == a_node.mesh and self.id == a_node.id
def set_dart(self, dart: Dart) -> None:
"""
Update the dart value associated with this node
:param dart: the dart to be associated to the node
"""
if dart is None:
raise ValueError("Try to connect a node to a non-existing dart")
self.mesh.nodes[self.id, 2] = dart.id
def get_dart(self) -> Dart:
"""
Get the dart value associated with this node
:return: a dart
"""
return Dart(self.mesh, int(self.mesh.nodes[self.id, 2]))
def x(self) -> float:
"""
Return the x coordinate of this node
:return: the x coordinate of this node
"""
return self.mesh.nodes[self.id, 0]
def y(self) -> float:
"""
Return the y coordinate of this node
:return: the y coordinate of this node
"""
return self.mesh.nodes[self.id, 1]
def set_x(self, x: float) -> None:
"""
Set the x coordinate of this node
:param x: a float value
"""
self.mesh.nodes[self.id, 0] = x
def set_y(self, y: float) -> None:
"""
Set the y coordinate of this node
:param y: a float value
"""
self.mesh.nodes[self.id, 1] = y
def set_xy(self, x: float, y: float) -> None:
"""
Set the node coordinates
:param x: new x coordinate value
:param y: new y coordinate value
"""
self.set_x(x)
self.set_y(y)
def set_ideal_adjacency(self, i: int) -> None:
"""
Set the ideal adjacency of this node.
:param i: calculated ideal adjacency
"""
self.mesh.nodes[self.id,3] = i
def get_ideal_adjacency(self) -> int:
"""
Get the ideal adjacency of this node.
:return: ideal adjacency
:raises ValueError: if there is no ideal adjacency
"""
ideal_adjacency = self.mesh.nodes[self.id,3]
if ideal_adjacency == -1:
raise ValueError("No ideal adjacency")
return ideal_adjacency
def set_score(self, s: int) -> None:
"""
Set the score of a node.
:param s: calculated score
"""
self.mesh.nodes[self.id,4] = s
def get_score(self) -> int:
"""
Get the score of this node.
:return: score
:raises ValueError: if there is no score defined
"""
score = self.mesh.nodes[self.id,4]
if score == -99:
raise ValueError("No score")
return score
class Face:
_mesh_type: type = None
def __init__(self, m: _mesh_type, face_id: int):
"""
A face is defined by the mesh_struct it belongs to and its id in this
mesh_struct. Face data are stored in an array owned by its mesh_struct. A face
can be understood as a handler to access data in a more abstract
way
:param m: mesh_struct the node belongs to
:param id: face id
"""
self.mesh = m
self.id = face_id
def __eq__(self, a_face: Face) -> bool:
"""
Equality operator between two faces. It is only based on the mesh_struct and node info and
not on the node coordinate
:param a_face: another face
:return: true if the faces are equal, false otherwise
"""
if a_face is None:
return False
else:
return self.mesh == a_face.mesh and self.id == a_face.id
def get_nodes(self) -> list[Node]:
"""
Gives access to the list of nodes that bounds the faces. To get
this list of nodes, the algorithm starts from the dart owned by the face,
and traverse the face using beta_1. For each dart, we store the corresponding
node.
:return: a list of nodes
"""
start = self.get_dart()
nodes_list = []
do_loop = False
while not do_loop:
nodes_list.append(start.get_node())
if start.get_beta(1) == self.get_dart():
do_loop = True
start = start.get_beta(1)
return nodes_list
def get_dart(self) -> Dart:
"""
Returns the unique dart of the mesh_struct, the face point to
:return: a dart
"""
return Dart(self.mesh, self.mesh.faces[self.id])
def set_dart(self, d: Dart) -> None:
"""
Update the dart the face is defined by in the mesh_struct
:param d: a new dart to connect to
"""
if d is None:
raise ValueError("Try to connect a face to a non-existing dart")
self.mesh.faces[self.id] = d.id
def get_surrounding_triangle(self) -> [Dart, Dart, Dart, Node, Node, Node]:
d = self.get_dart()
d1 = d.get_beta(1)
d11 = d1.get_beta(1)
A = d.get_node()
B = d1.get_node()
C = d11.get_node()
return d, d1, d11, A, B, C
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