```
#' Procedural Ring
#'
#' Generates data from a contrived algorithm in which a point continuously moves around
#' the circumference of a circle and offsets randomly from the circle boundary based on
#' user-set parameters such as eps.
#' @param seed The seed number
#' @param n The number of steps to make around the circumference of the circle
#' @param n_circles The number of times to repeat the algorithm (results are overlaid and interpolated)
#' @param r_0 The radius of the circle
#' @param eps The base amount to offset from the circumference of the circle
#' @param eps_big If there is a 'defect', the point jumps to this large radius + eps + noise
#' @param p_defect The probability of a defect (an unusualy high offset)
#' @param delta The angle (in degrees) between successive radial movements around the circumference (+/-1 deg is added)
#' @keywords procedural ring algorithm
#' @export
#' @examples
#' procedural_ring()
procedural_ring <- function(seed = 3, n = 400, n_circles = 4, r_0 = 5000,
eps = 500, eps_big = 5000, p_defect = 0.1, delta = 2.02) {
set.seed(seed)
theta <- 0
r <- r_0
r_last <- r
make_circle <- function() {
df <- data.frame(x = numeric(0), y = numeric(0))
for(i in 1:n) {
df[i, c("x", "y")] <- c(r * cos(theta), r * sin(theta))
theta <- theta + (delta + runif(1, -1, 1)) * pi / 180
defect <- runif(1)
r <- ifelse(defect < p_defect, eps_big + runif(1, 0, eps), r_last + runif(1, -eps, eps))
r_last <- ifelse(defect < p_defect / 10, r_last, r)
}
df %>% dplyr::mutate(xend = lead(x), yend = lead(y)) %>% dplyr::filter(!is.na(xend))
}
1:n_circles %>% purrr::map(~make_circle()) %>%
tweenr::tween_states(tweenlength = 2, statelength = 1, ease = "linear", nframes = 10000)
}
```

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