PiecewiseLinearFunctionND

(class from pyomo.core.kernel.piecewise_library.transforms_nd)

class pyomo.core.kernel.piecewise_library.transforms_nd.PiecewiseLinearFunctionND(tri, values, validate=True, **kwds)

Bases: object

A multi-variate piecewise linear function

Multi-varite piecewise linear functions are defined by a triangulation over a finite domain and a list of function values associated with the points of the triangulation. The function value between points in the triangulation is implied through linear interpolation.

Parameters:

• tri (scipy.spatial.Delaunay) –

  A triangulation over the discretized variable domain. Can be generated using a list of variables using the utility function util.generate_delaunay(). Required attributes:

  • points: An (npoints, D) shaped array listing the D-dimensional coordinates of the discretization points.

  • simplices: An (nsimplices, D+1) shaped array of integers specifying the D+1 indices of the points vector that define each simplex of the triangulation.

• values (numpy.array) – An (npoints,) shaped array of the values of the piecewise function at each of coordinates in the triangulation points array.

__init__(tri, values, validate=True, **kwds)

Methods

__init__(tri, values[, validate])

Attributes

triangulation	The triangulation over the domain of this function
values	The set of values used to defined this function

Member Documentation

property triangulation

The triangulation over the domain of this function

property values

The set of values used to defined this function