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#' Class for the Euclidean Metric on the Manifold of Symmetric Positive Definite
#' Matrices
#'
#' @description An [R6::R6Class] object implementing the [`SPDMetricEuclidean`]
#' class. This is the class for the Euclidean metric on the SPD manifold.
#'
#' @author Yann Thanwerdas
#'
#' @export
SPDMetricEuclidean <- R6::R6Class(
classname = "SPDMetricEuclidean",
inherit = RiemannianMetric,
public = list(
#' @field n An integer value specifying the shape of the matrices: \eqn{n
#' \times n}.
n = NULL,
#' @field power_euclidean An integer value specifying the power
#' transformation of the classical SPD metric.
power_euclidean = NULL,
#' @description The [`SPDMetricEuclidean`] class constructor.
#'
#' @param n An integer value specifying the shape of the matrices: \eqn{n
#' \times n}.
#' @param power_euclidean An integer value specifying the power
#' transformation of the classical SPD metric. Defaults to `1L`.
#' @param py_cls A Python object of class `SPDMetricEuclidean`. Defaults to
#' `NULL` in which case it is instantiated on the fly using the other
#' input arguments.
#'
#' @return An object of class [`SPDMetricEuclidean`].
initialize = function(n, power_euclidean = 1, py_cls = NULL) {
if (is.null(py_cls)) {
n <- as.integer(n)
power_euclidean <- as.integer(power_euclidean)
py_cls <- gs$geometry$spd_matrices$SPDMetricEuclidean(
n = n,
power_euclidean = power_euclidean
)
}
super$set_python_class(py_cls)
private$set_fields()
}
),
private = list(
set_fields = function() {
super$set_fields()
self$n <- super$get_python_class()$n
self$power_euclidean <- super$get_python_class()$power_euclidean
}
)
)
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