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\name{Logic}\title{Logical Operators}\usage{! xx & yx && yx | yx || yxor(x, y)}\alias{!}\alias{&}\alias{&&}\alias{|}\alias{||}\alias{xor}\alias{Logic}\description{These operators act on logical vectors.}\arguments{\item{x, y}{logical vectors}}\details{\code{!} indicates logical negation (NOT).\code{&} and \code{&&} indicate logical AND and \code{|} and \code{||}indicate logical OR. The shorter form performs elementwisecomparisons in much the same way as arithmetic operators. The longerform evaluates left to right examining only the first element of eachvector. Evaluation proceeds only until the result is determined. Thelonger form is appropriate for programming control-flow and typicallypreferred in \code{\link{if}} clauses.\code{xor} indicates elementwise exclusive OR.\code{\link{NA}} is a valid logical object. Where a component of\code{x} or \code{y} is \code{NA}, the result will be \code{NA} if theoutcome is ambiguous. In other words \code{NA & TRUE} evaluates to\code{NA}, but \code{NA & FALSE} evaluates to \code{FALSE}. See theexamples below.}\references{Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)\emph{The New S Language}.Wadsworth \& Brooks/Cole.}\seealso{\code{\link{TRUE}} or \code{\link{logical}}.\code{\link{Syntax}} for operator precedence.}\examples{y <- 1 + (x <- rpois(50, lambda=1.5) / 4 - 1)x[(x > 0) & (x < 1)] # all x values between 0 and 1if (any(x == 0) || any(y == 0)) "zero encountered"## construct truth tables :x <- c(NA, FALSE, TRUE)names(x) <- as.character(x)outer(x, x, "&")## AND tableouter(x, x, "|")## OR table}\keyword{logic}