#'
#' @title Generate a Basis Matrix for Natural Cubic Splines
#' @description This function is based on the native R function \code{ns} from the
#' \code{splines} package. This function generate the B-spline basis matrix for a natural
#' cubic spline.
#' @details \code{ns} is native R is based on the function \code{splineDesign}. It generates
#' a basis matrix for representing the family of piecewise-cubic splines with the specified
#' sequence of interior knots, and the natural boundary conditions. These enforce the constraint
#' that the function is linear beyond the boundary knots, which can either be supplied or default
#' to the extremes of the data.
#' A primary use is in modeling formula to directly specify a natural spline term in a model.
#' @param x the predictor variable. Missing values are allowed.
#' @param df degrees of freedom. One can supply df rather than knots; ns() then chooses
#' df - 1 - intercept knots at suitably chosen quantiles of x (which will ignore missing values).
#' The default, df = NULL, sets the number of inner knots as length(knots).
#' @param knots breakpoints that define the spline. The default is no knots; together with the
#' natural boundary conditions this results in a basis for linear regression on x. Typical values
#' are the mean or median for one knot, quantiles for more knots. See also Boundary.knots.
#' @param intercept if TRUE, an intercept is included in the basis; default is FALSE.
#' @param Boundary.knots boundary points at which to impose the natural boundary conditions and
#' anchor the B-spline basis (default the range of the data). If both knots and Boundary.knots
#' are supplied, the basis parameters do not depend on x. Data can extend beyond Boundary.knots.
#' @param newobj a character string that provides the name for the output
#' variable that is stored on the data servers. Default \code{ns.newobj}.
#' @param datasources a list of \code{\link{DSConnection-class}}
#' objects obtained after login. If the \code{datasources} argument is not specified
#' the default set of connections will be used: see \code{\link{datashield.connections_default}}.
#' @return A matrix of dimension length(x) * df where either df was supplied or if knots were
#' supplied, df = length(knots) + 1 + intercept. Attributes are returned that correspond to the
#' arguments to ns, and explicitly give the knots, Boundary.knots etc for use by predict.ns().
#' The object is assigned at each serverside.
#' @author Demetris Avraam for DataSHIELD Development Team
#' @export
#'
ds.ns <- function(x, df = NULL, knots = NULL, intercept = FALSE, Boundary.knots = NULL,
newobj=NULL, datasources=NULL){
# look for DS connections
if(is.null(datasources)){
datasources <- datashield.connections_find()
}
# ensure datasources is a list of DSConnection-class
if(!(is.list(datasources) && all(unlist(lapply(datasources, function(d) {methods::is(d,"DSConnection")}))))){
stop("The 'datasources' were expected to be a list of DSConnection-class objects", call.=FALSE)
}
# create a name by default if user did not provide a name for the new variable
if(is.null(newobj)){
newobj <- "ns.newobj"
}
# now do the business
calltext <- call("nsDS", x, df, knots, intercept, Boundary.knots)
DSI::datashield.assign(datasources, newobj, calltext)
}
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