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% File src/library/stats/man/diffinv.Rd
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% Part of the R package, https://www.R-project.org
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% Copyright 1995-2007 R Core Team
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% Distributed under GPL 2 or later
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\name{diffinv}
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\alias{diffinv}
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\alias{diffinv.default}
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\alias{diffinv.ts}
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\title{Discrete Integration: Inverse of Differencing}
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\description{
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  Computes the inverse function of the lagged differences function
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  \code{\link{diff}}.
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}
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\usage{
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diffinv(x, ...)
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\method{diffinv}{default}(x, lag = 1, differences = 1, xi, \dots)
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\method{diffinv}{ts}(x, lag = 1, differences = 1, xi, \dots)
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}
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\arguments{
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  \item{x}{a numeric vector, matrix, or time series.}
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  \item{lag}{a scalar lag parameter.}
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  \item{differences}{an integer representing the order of the
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    difference.}
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  \item{xi}{a numeric vector, matrix, or time series containing the
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    initial values for the integrals.  If missing, zeros are used.}
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  \item{\dots}{arguments passed to or from other methods.}
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}
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\details{
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  \code{diffinv} is a generic function with methods for class \code{"ts"}
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  and \code{default} for vectors and matrices.
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  Missing values are not handled.
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}
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\value{
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  A numeric vector, matrix, or time series (the latter for the
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  \code{"ts"} method) representing the discrete integral of \code{x}.
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}
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\author{A. Trapletti}
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\seealso{
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  \code{\link{diff}}
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}
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\examples{
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s <- 1:10
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d <- diff(s)
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diffinv(d, xi = 1)
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}
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\keyword{ts}