Plot the polytope (bounded convex set) of a linear mathematical program

Usage

plotPolytope3D(
  A,
  b,
  obj = NULL,
  type = rep("c", ncol(A)),
  nonneg = rep(TRUE, ncol(A)),
  crit = "max",
  faces = rep("c", ncol(A)),
  plotFaces = TRUE,
  plotFeasible = TRUE,
  plotOptimum = FALSE,
  latex = FALSE,
  labels = NULL,
  ...
)

Arguments

A

The constraint matrix.

b

Right hand side.

obj

A vector with objective coefficients.

type

A character vector of same length as number of variables. If entry k is 'i' variable \(k\) must be integer and if 'c' continuous.

nonneg

A boolean vector of same length as number of variables. If entry k is TRUE then variable k must be non-negative.

crit

Either max or min (only used if add the iso-profit line)

faces

A character vector of same length as number of variables. If entry k is 'i' variable \(k\) must be integer and if 'c' continuous. Useful if e.g. want to show the linear relaxation of an IP.

plotFaces

If True then plot the faces.

plotFeasible

If True then plot the feasible points/segments (relevant for ILP/MILP).

plotOptimum

Show the optimum corner solution point (if alternative solutions only one is shown) and add the iso-profit line.

latex

If True make latex math labels for TikZ.

labels

If NULL don't add any labels. If 'n' no labels but show the points. If equal coord add coordinates to the points. Otherwise number all points from one.

...

Further arguments passed on the the RGL plotting functions. This must be done as lists. Currently the following arguments are supported:

argsAxes3d: A list of arguments for rgl::axes3d.
argsPlot3d: A list of arguments for rgl::plot3d to open the RGL window.
argsTitle3d: A list of arguments for rgl::title3d.
argsFaces: A list of arguments for plotHull3D.
argsFeasible: A list of arguments for RGL functions:
- points3d: A list of arguments for rgl::points3d.
- segments3d: A list of arguments for rgl::segments3d.
- triangles3d: A list of arguments for rgl::triangles3d.
argsLabels: A list of arguments for RGL functions:
- points3d: A list of arguments for rgl::points3d.
- text3d: A list of arguments for rgl::text3d.
argsOptimum: A list of arguments for RGL functions:
- points3d: A list of arguments for rgl::points3d.

Value

A RGL window with 3D plot.

Note

In general use plotPolytope() instead of this function. The feasible region defined by the constraints must be bounded otherwise you may see strange results.

Author