Geometry

General geometry functions associated with unstructured triangular meshes and functions used within the WaveVal package.

Dependencies [External]:

numpy

Dependencies [Internal]:

Geometry.cart2cmplx(x, y)[source]

Coordinate conversion: Cartesian to Complex

Parameters:

  • x – Cartesian x-coord

  • y – Cartesian y-coord

Returns:

cmplx

Geometry.cart2pol(x, y)[source]

Coordinate conversion: Cartesian to Polar

Parameters:

  • x – Cartesian x-coord

  • y – Cartesian y-coord

Returns:

r

Returns:

theta (in degrees)

Geometry.cmplx2cart(c)[source]

Coordinate conversion: Complex to Cartesian

Parameters:

c – complex numbers (x + jy)

Returns:

x

Returns:

y

Geometry.cmplx2pol(x, angularUnits=0)[source]

Coordinate conversion: Complex to Polar

Parameters:

  • x – complex numbers (x + jy)

  • anglularUnits – 0 = degress [default], 1 = radians

Returns:

radii

Returns:

angles

Geometry.getBarycentricWeights(p1, p2, p3, p)[source]

Calculate Barycentric weights for interpolating data from the triangle node points p1, p2, p3 onto the point p.

Geometry.getCentroidWeights(p1, p2, p3, Centroid)[source]
Geometry.getNearestNode(X, Y, LocX, LocY)[source]
Geometry.getNodesWeights(Mesh, LocX, LocY)[source]
Geometry.getTriangle(Mesh, LocX, LocY)[source]
Geometry.getTriangleArea(p1, p2, p3)[source]

Calculate the area of a triangle defined by the points p1, p2, p3.

Geometry.getTriangleCentroid(p1, p2, p3)[source]

Calculate the position of the centroid for a triangle defined by the points p1, p2, p3.

Geometry.getWgtsMatrix(NWghts, nstps)[source]
Geometry.interpTriangle(p1, p2, p3, p, v1, v2, v3)[source]

Interpolate the values v1, v2, v3 from the triangle nodes defined by the points p1, p2, p3 onto the location p using the Barycentric wighting method.

Geometry.isInsideTriangle(p1, p2, p3, p)[source]

Determine whether the point p lies within the triangle defined by the points p1, p2, p3.

Geometry.pol2cart(r, theta)[source]

Coordinate conversion: Polar to Cartesian

Parameters:

  • r – radial distance

  • theta – angle in degrees

Returns:

x

Returns:

y

Geometry.pol2cmplx(radii, angles, angularUnits=0)[source]

Coordinate conversion: Polar to Complex

Parameters:

  • radii – radial distance

  • angles – angle

  • anglularUnits – 0 = degress [default], 1 = radians

Returns:

cmplx

Geometry.rotateVectorField(U, V, W, Theta)[source]
class Geometry.spatialCoverage(lat_min, lat_max, lon_min, lon_max)[source]

Bases: object

Base class for setting spatial coverage of data in lat/lon ranges.