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   residuals are available from the result.}
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   residuals are available from the result.}
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 \item{df.offset}{allows the degrees of freedom to be increased by
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 \item{df.offset}{allows the degrees of freedom to be increased by
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   \code{df.offset} in the GCV criterion.}
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   \code{df.offset} in the GCV criterion.}
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 \item{penalty}{the coefficient of the penalty for degrees of freedom
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 \item{penalty}{the coefficient of the penalty for degrees of freedom
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   in the GCV criterion.}
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   in the GCV criterion.}
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 \item{control.spar}{optional list with named components controlling the
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 \item{control.spar}{optional list with named components controlling the
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   root finding when the smoothing parameter \code{spar} is computed,
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   root finding when the smoothing parameter \code{spar} is computed,
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   i.e., missing or \code{NULL}, see below.
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   i.e., missing or \code{NULL}, see below.
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   \bold{Note} that this is partly \emph{experimental} and may change
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   \bold{Note} that this is partly \emph{experimental} and may change
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       defaults to 500.}
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       defaults to 500.}
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   }
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   }
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   Note that \code{spar} is only searched for in the interval
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   Note that \code{spar} is only searched for in the interval
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   \eqn{[low, high]}.
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   \eqn{[low, high]}.
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   }
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   }
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   \item{tol}{A tolerance for same-ness of the \code{x} values.  The
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   \item{tol}{A tolerance for same-ness of the \code{x} values.  The
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     values are binned into bins of size \code{tol} and values which
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     values are binned into bins of size \code{tol} and values which
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     fall into the same bin are regarded as the same.
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     fall into the same bin are regarded as the same.
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     Must be strictly positive (and finite).}
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     Must be strictly positive (and finite).}
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}
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}
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\details{
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\details{
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  Neither \code{x} nor \code{y} are allowed to containing missing or
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  Neither \code{x} nor \code{y} are allowed to containing missing or
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  infinite values.
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  infinite values.
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  The \code{x} vector should contain at least four distinct values.
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  The \code{x} vector should contain at least four distinct values.
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  \sQuote{Distinct} here is controlled by \code{tol}: values which are
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  \sQuote{Distinct} here is controlled by \code{tol}: values which are
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  regarded as the same are replaced by the first of their values and the
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  regarded as the same are replaced by the first of their values and the
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  corresponding \code{y} and \code{w} are pooled accordingly.
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  corresponding \code{y} and \code{w} are pooled accordingly.
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