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.enmalladoFernando(lx: float, ly: float, nex: int, ney: int) numpy.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.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