FEM.Utils package#
Utilities
Submodules#
FEM.Utils.polygonal module#
Polygonal help functions
- FEM.Utils.polygonal.angleBetweenAngles(start: float, end: float, mid: float) bool#
Evaluates if a angle is between 2 angles
- Parameters:
start (float) – Start angle
end (float) – End angle
mid (float) – Angle to be evaluated
- Returns:
Tru if mid is between start-end
- Return type:
bool
- FEM.Utils.polygonal.clip(x: float, mi: float, ma: float) float#
Clip 1D
- Parameters:
x (float) – Point x
mi (float) – min
ma (float) – max
- Returns:
idk
- Return type:
float
- FEM.Utils.polygonal.dist(a: list, b: list) float#
Calculate the distancie between 2 points
- Parameters:
a (list) – point a
b (list) – point b
- Returns:
Distance between a and b
- Return type:
float
- FEM.Utils.polygonal.enmalladoEsferaFernando(L: float, n: float) Tuple[ndarray, list]#
- Crea el enmallado de una esfera de diámetro L con n numero de elementos
por lado. Para crear el enmallado se deforma un cubo a la forma de una esfera.
Autor: Fernando Ramirez Rodriguez Traducido de Matlab.
- Parameters:
L (float) – Diametro de la esfera
n (float) – Número de elementos por lado. El numero deelemtnos final es n^3
- Returns:
Matriz de coordenadas y conectividad
- Return type:
Tuple[np.ndarray,list]
- FEM.Utils.polygonal.enmalladoFernando(lx: float, ly: float, nex: int, ney: int) ndarray#
Crea un enmallado 2D de un rectangulo
- Parameters:
lx (floar) – Base del rectángulo
ly (float) – Altura del rectámgulo
nex (int) – Numero de elementos en el eje x
ney (int) – Numero de elementos en el eje y
- Returns:
coordinates matrix (np.ndarray) and element dictionary (list)
- Return type:
np.ndarray
- FEM.Utils.polygonal.generatePolygon(ctrX: float = 10, ctrY: float = 10, aveRadius: float = 5, irregularity: float = 0.5, spikeyness: float = 0.5, numVerts: float = 6) list#
Generate a random polygon.
- Parameters:
ctrX (float, optional) – X centroid. Defaults to 10.
ctrY (float, optional) – Y centroid. Defaults to 10.
aveRadius (float, optional) – Average radious. Defaults to 5.
irregularity (float, optional) – Irregularity. Defaults to 0.5.
spikeyness (float, optional) – Spikeyness. Defaults to 0.5.
numVerts (float, optional) – Number of vertices. Defaults to 6.
- Returns:
Poligon coordinates matrix.
- Return type:
list
- FEM.Utils.polygonal.giveCoordsCircle(O: list, r: float, sa: float = 0, a: float = 6.283185307179586, n: int = 10, isFillet: bool = False) Tuple[list, list]#
Calculates the coordinates of a circle
- Parameters:
O (list) – Center coordinates of circle
r (float) – Circle radius
sa (float) – Start angle. Defaults to 0
a (float) – End angle. Defaults to \(2\pi\)
n (int, optional) – Number of coords to calculate. Defaults to 10.
isFillet (bool, optional) – If the circle will be used as fillet. Defaults to False.
- Returns:
Circle coordinates and regions
- Return type:
list and list
- FEM.Utils.polygonal.isBetween(a: list, b: list, c: list, tol: float = 1e-05) bool#
Test if a point is between a line in a given tolerance. Works in 2D and 3D.
- Parameters:
a (list) – Start point of line
b (list) – End point of line
c (list) – Point to be tested between line
tol (float) – Tolerance. Defaults to 1*10**-5
- Returns:
True if point is in line
- Return type:
bool
- FEM.Utils.polygonal.plot_list_elements(l, c='k', acum=False)#
- FEM.Utils.polygonal.roundCorner(P1: list, P2: list, P: list, r: float) tuple#
Calculates the origin, start angle and sweep angle of a given corner with a given radius Source: https://stackoverflow.com/questions/24771828/algorithm-for-creating-rounded-corners-in-a-polygon
- Parameters:
P1 (list) – First point
P2 (list) – Second Point
P (list) – Center point
r (float) – Radius of corner
- Returns:
Circle center coordinates, start angle, sweep angle
- Return type:
tuple
- FEM.Utils.polygonal.testNeighborg(e1, e2)#