runif.circ: Generation of Uniform Points in a Circle

In elvanceyhan/nnspat: Nearest Neighbor Methods for Spatial Patterns

Generation of Uniform Points in a Circle

Description

An object of class "SpatPatterns".

Generates n 2D points uniformly in the circle with center=cent and radius=rad using the rejection sampling approach (i.e., the function generates points in the smallest square containing the circle, keeping only the points inside the circle until n points are generated). The defaults for cent=c(0,0) and rad=1.

Usage

runif.circ(n, cent = c(0, 0), rad = 1)

Arguments

n	A positive integer representing the number of points to be generated uniformly in the circle
cent	A 2D point representing the center of the circle, with default=c(0,0)
rad	A positive real number representing the radius of the circle.

Value

A list with the elements

pat.type	"1c" for the 1-class pattern of the uniform data in the circle
type	The type of the point pattern
parameters	center of the circle, cent, and the radius of the circle, rad
lab	The class labels of the generated points, NULL for this function, since points belong to the same class
init.cases	The initial points, NULL for this function
gen.points	The output set of generated points uniform in the circle.
ref.points	The input set of reference points, it is NULL for this function.
desc.pat	Description of the point pattern
mtitle	The "main" title for the plot of the point pattern
num.points	The number of generated points.
xlimit,ylimit	The possible ranges of the x- and y-coordinates of the generated points

Author(s)

Elvan Ceyhan

See Also

runif

Examples

n<-20  #or try sample(1:20,1);  #try also 10, 100, or 1000;
r<-.1; #try also r<-.3 or .5
cent<-c(1,2)

#data generation
Xdat<-runif.circ(n,cent,r) #generated data
Xdat

summary(Xdat)
plot(Xdat,asp=1)
plot(Xdat)

elvanceyhan/nnspat documentation built on Sept. 4, 2022, 10:28 a.m.