Mean arc angle in degrees

Usage

mean_degree_arc(x, use_range = FALSE, use_median = FALSE, do_plot = FALSE, ...)

Arguments

x: numeric vector of angles in degrees.
use_range: logical indicating whether to return the mean degree angle across the range, which therefore only uses the first and last angular values.
use_median: logical indicating whether to use median() instead of mean(), included here for convenience.
do_plot: logical whether to plot the result, default FALSE.
...: additional arguments are ignored.

Details

This function differs from mean_degrees() in that it finds the mean angle in degrees from angles along an arc, guaranteeing that the mean angle is along that numeric arc. It is intended that the arc does not cover more than 360 degrees, and for angles whose numeric values are increasing.

The specific purpose is to enable supplying two angles like c(12, 45) to imply the arc "from 12 to 45 degrees", for which the mean is 28.5. Or one could supply c(45, 12) and imply "from 45, around 360, back to 12 degrees" and the mean of this large arc would be 208.5.

Examples

set.seed(1);
steps <- sample((1:12)^1.5, size=14, replace=TRUE);
steps <- sort(steps);
x <- cumsum(steps);
x;
#>  [1]   1.000000   2.000000   4.828427   7.656854  12.853007  20.853007
#>  [7]  32.033347  43.213686  61.733946  80.254205 107.254205 138.876981
#> [13] 175.359854 211.842727

withr::with_par(list("mfrow"=c(2, 3)), {
   mean_degree_arc(x, do_plot=TRUE);
   mean_degree_arc(x, use_median=TRUE, do_plot=TRUE);
   mean_degree_arc(x, use_range=TRUE, do_plot=TRUE);
})

#> [1] 106.4214
#> attr(,"radius")
#> [1] 1

x <- x + 235;
mean_degree_arc(x, do_plot=TRUE);

#> [1] 299.2686
#> attr(,"radius")
#> [1] 1
mean_degree_arc(x, use_median=TRUE, do_plot=TRUE);

#> [1] 272.6235
#> attr(,"radius")
#> [1] 1
mean_degree_arc(x, use_range=TRUE, do_plot=TRUE);

#> [1] 341.4214
#> attr(,"radius")
#> [1] 1

Mean arc angle in degrees

Usage

Arguments

Details

See also

Examples