Generating a sample of points on a pipe — pipe

Points are drawn from a uniform distribution between -1 and 1, the pipe structure is generated by rejecting points if they are not on a circle with radius 1 and thickness t in the last two parameters.

Usage

pipe_data(n, p, t = 0.1)

Arguments

n: number of sample points to generate
p: sample dimensionality
t: thickness of circle, default=0.1

Value

sample points in tibble format

Examples

pipe_data(100, 4)
#> # A tibble: 100 × 4
#>        V1       V2     V3      V4
#>     <dbl>    <dbl>  <dbl>   <dbl>
#>  1 -0.126  0.419    0.381  0.921 
#>  2  0.692 -0.688   -0.948  0.126 
#>  3  0.311  0.991   -0.859 -0.410 
#>  4 -0.802  0.00303  0.257 -0.945 
#>  5  0.337  0.595    0.705 -0.769 
#>  6 -0.860 -0.874   -0.212  0.952 
#>  7  0.468 -0.276    0.110  0.951 
#>  8  0.166 -0.981    0.523  0.822 
#>  9  0.852 -0.0344   0.954 -0.0628
#> 10  0.826  0.303    0.757  0.590 
#> # ℹ 90 more rows
pipe_data(100, 2, 0.5)
#> # A tibble: 100 × 2
#>        V1     V2
#>     <dbl>  <dbl>
#>  1  0.837  0.254
#>  2  0.840 -0.572
#>  3 -0.919  0.723
#>  4  0.610  0.561
#>  5  0.994  0.367
#>  6  0.622 -0.745
#>  7  0.727  0.621
#>  8 -0.640 -0.271
#>  9 -0.584  0.923
#> 10 -0.353 -0.775
#> # ℹ 90 more rows