Arithmetic {base} R Documentation

Arithmetic Operators

Description

These binary operators perform arithmetic on numeric or complex vectors (or objects which can be coerced to them).

```x + y
x - y
x * y
x / y
x ^ y
x %% y
x %/% y
```

Arguments

 `x, y` numeric or complex vectors or objects which can be coerced to such, or other objects for which methods have been written.

Details

The binary arithmetic operators are generic functions: methods can be written for them individually or via the `Ops`) group generic function.

If applied to arrays the result will be an array if this is sensible (for example it will not if the recycling rule has been invoked).

Logical vectors will be coerced to numeric vectors, `FALSE` having value 0 and `TRUE` having value one.

`1 ^ y` and `y ^ 0` are `1`, always. `x ^ y` should also give the proper “limit” result when either argument is infinite (i.e., `+- Inf`).

Objects such as arrays or time-series can be operated on this way provided they are conformable.

For real arguments, `%%` can be subject to catastrophic loss of accuracy if `x` is much larger than `y`, and a warning is given if this is detected.

Value

They return numeric vectors containing the result of the element by element operations. The elements of shorter vectors are recycled as necessary (with a `warning` when they are recycled only fractionally). The operators are `+` for addition, `-` for subtraction, `*` for multiplication, `/` for division and `^` for exponentiation.
`%%` indicates `x mod y` and `%/%` indicates integer division. It is guaranteed that ```x == (x %% y) + y * ( x %/% y )``` (up to rounding error) unless `y == 0` where the result is `NA` or `NaN` (depending on the `typeof` of the arguments).

References

Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.

`sqrt` for miscellaneous and `Special` for special mathematical functions.

`Syntax` for operator precedence.

Examples

```x <- -1:12
x + 1
2 * x + 3
x %% 2 #-- is periodic
x %/% 5
```

[Package base version 2.1.0 Index]