Logic
Logical Operators
These operators act on raw, logical and numberlike vectors.
 Keywords
 logic
Usage
! x
x & y
x && y
x  y
x  y
xor(x, y)
isTRUE(x)
Arguments
Details
!
indicates logical negation (NOT).
&
and &&
indicate logical AND and 
and 
indicate logical OR. The shorter form performs elementwise
comparisons in much the same way as arithmetic operators. The longer
form evaluates left to right examining only the first element of each
vector. Evaluation proceeds only until the result is determined. The
longer form is appropriate for programming controlflow and typically
preferred in if
clauses.
xor
indicates elementwise exclusive OR.
isTRUE(x)
is an abbreviation of identical(TRUE, x)
, and
so is true if and only if x
is a lengthone logical vector
whose only element is TRUE
and which has no attributes (not even
names).
Numeric and complex vectors will be coerced to logical values, with
zero being false and all nonzero values being true. Raw vectors are
handled without any coercion for !
, &
, 
and
xor
, with these operators being applied bitwise (so !
is
the 1scomplement).
The operators !
, &
and 
are generic functions:
methods can be written for them individually or via the
Ops
(or S4 Logic
, see below)
group generic function. (See Ops
for
how dispatch is computed.)
NA
is a valid logical object. Where a component of
x
or y
is NA
, the result will be NA
if the
outcome is ambiguous. In other words NA & TRUE
evaluates to
NA
, but NA & FALSE
evaluates to FALSE
. See the
examples below.
See Syntax for the precedence of these operators: unlike many other languages (including S) the AND and OR operators do not have the same precedence (the AND operators have higher precedence than the OR operators).
Value

For
!
, a logical or raw vector(for raw x
) of the same
length as x
: names, dims and dimnames are copied from x
,
and all other attributes (including class) if no coercion is done.For 
, &
and xor
a logical or raw vector. If
involving a zerolength vector the result has length zero. Otherwise,
the elements of shorter vectors are recycled as necessary (with a
warning
when they are recycled only fractionally).
The rules for determining the attributes of the result are rather
complicated. Most attributes are taken from the longer argument, the
first if they are of the same length. Names will be copied from the
first if it is the same length as the answer, otherwise from the
second if that is. For time series, these operations are allowed only
if the series are compatible, when the class and tsp
attribute of whichever is a time series (the same, if both are) are
used. For arrays (and an array result) the dimensions and dimnames
are taken from first argument if it is an array, otherwise the second.For 
, &&
and isTRUE
, a lengthone logical vector.
Note
The elementwise operators are sometimes called as functions as
e.g.\ifelse{latex}{\out{~}}{ } `&`(x, y)
: see the description of how
argumentmatching is done in Ops
.
S4 methods
!
, &
and 
are S4 generics, the latter two part
of the Logic
group generic (and
hence methods need argument names e1, e2
).
References
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.
See Also
any
and all
for OR and AND on many scalar
arguments.
Syntax
for operator precedence.
bitwAnd
for bitwise versions for integer vectors.
Examples
library(base)
y < 1 + (x < stats::rpois(50, lambda = 1.5) / 4  1)
x[(x > 0) & (x < 1)] # all x values between 0 and 1
if (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 table
outer(x, x, "") ## OR table