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#' A dependence tour path.
#'
#' The dependence tour combines a set of independent 1d tours to produce
#' a nd tour. For the special case of 2d, this is known as a correlation
#' tour. This tour corresponds to the multivariate method known as
#' generalised canonical correlation, and is used to investigate dependence
#' between groups of variables.
#'
#' Usually, you will not call this function directly, but will pass it to
#' a method that works with tour paths like \code{\link{animate}},
#' \code{\link{save_history}} or \code{\link{render}}.
#'
#' @param pos a numeric vector describing which variables are mapped to
#' which dimensions: 1 corresponds to first, 2 to second etc.
#' @export
#' @examples
#' animate_xy(flea[, 1:3], dependence_tour(c(1, 2, 2)))
#' animate_xy(flea[, 1:4], dependence_tour(c(1, 2, 1, 2)))
#' animate_pcp(flea[, 1:6], dependence_tour(c(1, 2, 3, 2, 1, 3)))
dependence_tour <- function(pos) {
stopifnot(is.numeric(pos))
stopifnot(all.equal(pos, trunc(pos)))
d <- max(pos)
generator <- function(current, data, ...) {
if (is.null(current)) {
return(basis_init(ncol(data), d))
}
mat <- matrix(0, ncol = d, nrow = length(pos))
for (i in seq_len(d)) {
mat[pos == i, i] <- basis_random(sum(pos == i), 1)
}
target <- mat
list(target = target)
}
new_geodesic_path("independent", generator)
}
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