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#' Fast eigen decomposition using \code{\link[RSpectra]{eigs}}
#'
#' By default uses a random initialization vector that you can make deterministic using
#' \code{\link[base]{set.seed}} or override by specifying \code{opts = list(initvec = ...)}.
#'
#' @param M A matrix (e.g. from the Matrix package) or
#' a function (see \code{\link[RSpectra]{eigs}}).
#' @param n_eigs Number of eigenvectors to return.
#' @param sym defunct and ignored.
#' @param ... Passed to \code{\link[RSpectra]{eigs}}.
#' @param opts Passed to \code{\link[RSpectra]{eigs}}.
#'
#' @return see \code{\link[RSpectra]{eigs}}.
#'
#' @examples
#' eig_decomp(cbind(c(1,0,-1), c(0,1,0), c(-1,0,1)), 2)
#'
#' @importFrom Matrix isSymmetric
#' @importFrom RSpectra eigs eigs_sym
#' @importFrom stats runif
#' @export
eig_decomp <- function(M, n_eigs, sym, ..., opts = list()) {
if (!('initvec' %in% names(opts)))
opts$initvec <- runif(nrow(M)) - .5
# eigs cannot handle symmetricMatrix & sparseMatrix yet
# TODO: low-effort. We can copy the memory and use the `lower = T/F` arg instead
if (is(M, 'dsCMatrix')) M <- as(M, 'dgCMatrix')
if (is(M, 'dsRMatrix')) M <- as(M, 'dgRMatrix')
eigs(M, n_eigs, ..., opts = opts)
}
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