This function generates a “systematic random” pattern
of points in the window win
. The pattern consists of a
rectangular grid of points with a random common displacement.
The grid spacing in the \(x\) direction is determined
either by the number of columns nx
or by the
horizontal spacing dx
.
The grid spacing in the \(y\) direction is determined
either by the number of rows ny
or by the
vertical spacing dy
.
The grid is then given a random displacement (the common displacement
of the grid points is a uniformly distributed random vector in the
tile of dimensions dx, dy
).
Some of the resulting grid points may lie outside the window
win
: if they do, they are deleted. The result is a point
pattern inside the window win
.
This function is useful in creating dummy points for quadrature
schemes (see quadscheme
) as well as in simulating
random point patterns.