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#' Class for the log-Euclidean Metric on the Manifold of Symmetric Positive
#' Definite Matrices
#'
#' @description An [R6::R6Class] object implementing the
#' [`SPDMetricLogEuclidean`] class. This is the class for the
#' log-Euclidean metric on the SPD manifold.
#'
#' @author Yann Thanwerdas
#'
#' @export
SPDMetricLogEuclidean <- R6::R6Class(
classname = "SPDMetricLogEuclidean",
inherit = RiemannianMetric,
public = list(
#' @field n An integer value specifying the shape of the matrices: \eqn{n
#' \times n}.
n = NULL,
#' @description The [`SPDMetricLogEuclidean`] class constructor.
#'
#' @param n An integer value specifying the shape of the matrices: \eqn{n
#' \times n}.
#' @param py_cls A Python object of class `SPDMetricLogEuclidean`. Defaults
#' to `NULL` in which case it is instantiated on the fly using the other
#' input arguments.
#'
#' @return An object of class [`SPDMetricLogEuclidean`].
#'
#' @examples
#' if (reticulate::py_module_available("geomstats")) {
#' mt <- SPDMetricLogEuclidean$new(n = 3)
#' mt
#' }
initialize = function(n, py_cls = NULL) {
if (is.null(py_cls)) {
n <- as.integer(n)
py_cls <- gs$geometry$spd_matrices$SPDMetricLogEuclidean(n = n)
}
super$set_python_class(py_cls)
private$set_fields()
}
),
private = list(
set_fields = function() {
super$set_fields()
self$n <- super$get_python_class()$n
}
)
)
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