LLint-class {S4Vectors} | R Documentation

## LLint vectors

### Description

The LLint class is a container for storing a vector of large integers (i.e. long long int values at the C level).

### Usage

    LLint(length=0L)
    as.LLint(x)
    is.LLint(x)

### Arguments

`length` | A non-negative number (i.e. integer, double, or LLint value) specifying the desired length.
`x` | Object to be coerced or tested.

### Details

LLint vectors aim to provide the same functionality as integer vectors in base R but their values are stored as long long int values at the C level vs int values for integer vectors. Note that on Intel platforms long long int values are 64-bit and int values 32-bit only. Therefore LLint vectors can hold values in the +/-9.223e18 range (approximately) vs +/-2.147e9 only for integer vectors.

NAs are supported and the `NA_LLint_` constant is predefined for convenience as `as(NA, "LLint")`.

Names are not supported for now.

Coercions from/to logical, integer, double, and character are supported.

Operations from the `Arith`, `Compare` and `Summary` groups are supported.

More operations coming soon...

### Author(s)

Hervé Pagès

### See Also

- integer vectors in base R.

- The `Arith`, `Compare` and `Summary` group generics in the methods package.

### Examples

    ## A long long int uses 8 bytes (i.e. 64 bits) in C:
    .Machine$sizeof.longlong

    ## ---------------------------------------------------------------------
    ## SIMPLE EXAMPLES
    ## ---------------------------------------------------------------------

    LLint()
    LLint(10)

    as.LLint(3e9)
    as.LLint("3000000000")

    x <- as.LLint(1:10 * 111111111)
    x * x
    5 * x   # result as vector of doubles (i.e. 'x' coerced to double)
    5L * x  # result as LLint vector (i.e. 5L coerced to LLint vector)
    max(x)
    min(x)
    range(x)
    sum(x)

    x <- as.LLint(1:20)
    prod(x)
    x <- as.LLint(1:21)
    prod(x)  # result is out of LLint range (+/-9.223e18)
    prod(as.numeric(x))

    x <- as.LLint(1:75000)
    sum(x * x * x) == sum(x) * sum(x)

    ## Note that max(), min() and range() *always* return an LLint vector
    ## when called on an LLint vector, even when the vector is empty:
    max(LLint())  # NA with no warning
    min(LLint())  # NA with no warning

    ## This differs from how max(), min() and range() behave on an empty
    ## integer vector:
    max(integer())  # -Inf with a warning
    min(integer())  #  Inf with a warning

    ## ---------------------------------------------------------------------
    ## GOING FROM STRINGS TO INTEGERS
    ## ---------------------------------------------------------------------

    ## as.integer() behaves like as.integer(as.double()) on a character
    ## vector. With the following consequence:
    s <- "-2.9999999999999999"
    as.integer(s)   # -3

    ## as.LLint() converts the string *directly* to LLint, without
    ## coercing to double first:
    as.LLint(s)  # decimal part ignored

    ## ---------------------------------------------------------------------
    ## GOING FROM DOUBLE-PRECISION VALUES TO INTEGERS AND VICE-VERSA
    ## ---------------------------------------------------------------------

    ## Be aware that a double-precision value is not guaranteed to represent
    ## exactly an integer > 2^53. This can cause some surprises:
    2^53 == 2^53 + 1  # TRUE, yep!

    ## And therefore:
    as.LLint(2^53) == as.LLint(2^53 + 1)  # also TRUE

    ## This can be even more disturbing when passing a big literal integer
    ## value because the R parser will turn it into a double-precision value
    ## before passing it to as.LLint():
    x1 <- as.LLint(9007199254740992)  # same as as.LLint(2^53)
    x1
    x2 <- as.LLint(9007199254740993)  # same as as.LLint(2^53 + 1)
    x2
    x1 == x2  # still TRUE

    ## However, no precision is lost if a string literal is used instead:
    x1 <- as.LLint("9007199254740992")
    x1
    x2 <- as.LLint("9007199254740993")
    x2
    x1 == x2  # FALSE
    x2 - x1

    d1 <- as.double(x1)
    d2 <- as.double(x2)  # warning!
    d1 == d2  # TRUE

    ## ---------------------------------------------------------------------
    ## LLint IS IMPLEMENTED AS AN S4 CLASS
    ## ---------------------------------------------------------------------

    class(LLint(10))
    typeof(LLint(10))        # S4
    storage.mode(LLint(10))  # S4
    is.vector(LLint(10))     # FALSE
    is.atomic(LLint(10))     # FALSE

    ## This means that an LLint vector cannot go in an ordinary data
    ## frame:
    ## Not run:
    data.frame(id=as.LLint(1:5))  # error!

    ## End(Not run)
    ## A DataFrame needs to be used instead:
    DataFrame(id=as.LLint(1:5))

    ## ---------------------------------------------------------------------
    ## SANITY CHECKS
    ## ---------------------------------------------------------------------

    x <- as.integer(c(0, 1, -1, -3, NA, -99))
    y <- as.integer(c(-6, NA, -4:3, 0, 1999, 6:10, NA))
    xx <- as.LLint(x)
    yy <- as.LLint(y)

    ## Operations from "Arith" group:
    stopifnot(identical(x + y, as.integer(xx + yy)))
    stopifnot(identical(as.LLint(y + x), yy + xx))
    stopifnot(identical(x - y, as.integer(xx - yy)))
    stopifnot(identical(as.LLint(y - x), yy - xx))
    stopifnot(identical(x * y, as.integer(xx * yy)))
    stopifnot(identical(as.LLint(y * x), yy * xx))
    stopifnot(identical(x / y, xx / yy))
    stopifnot(identical(y / x, yy / xx))
    stopifnot(identical(x %/% y, as.integer(xx %/% yy)))
    stopifnot(identical(as.LLint(y %/% x), yy %/% xx))
    stopifnot(identical(x %% y, as.integer(xx %% yy)))
    stopifnot(identical(as.LLint(y %% x), yy %% xx))
    stopifnot(identical(x ^ y, xx ^ yy))
    stopifnot(identical(y ^ x, yy ^ xx))

    ## Operations from "Compare" group:
    stopifnot(identical(x == y, xx == yy))
    stopifnot(identical(y == x, yy == xx))
    stopifnot(identical(x != y, xx != yy))
    stopifnot(identical(y != x, yy != xx))
    stopifnot(identical(x <= y, xx <= yy))
    stopifnot(identical(y <= x, yy <= xx))
    stopifnot(identical(x >= y, xx >= yy))
    stopifnot(identical(y >= x, yy >= xx))
    stopifnot(identical(x < y, xx < yy))
    stopifnot(identical(y < x, yy < xx))
    stopifnot(identical(x > y, xx > yy))
    stopifnot(identical(y > x, yy > xx))

    ## Operations from "Summary" group:
    stopifnot(identical(max(y), as.integer(max(yy))))
    stopifnot(identical(max(y, na.rm=TRUE), as.integer(max(yy, na.rm=TRUE))))
    stopifnot(identical(min(y), as.integer(min(yy))))
    stopifnot(identical(min(y, na.rm=TRUE), as.integer(min(yy, na.rm=TRUE))))
    stopifnot(identical(range(y), as.integer(range(yy))))
    stopifnot(identical(range(y, na.rm=TRUE), as.integer(range(yy, na.rm=TRUE))))
    stopifnot(identical(sum(y), as.integer(sum(yy))))
    stopifnot(identical(sum(y, na.rm=TRUE), as.integer(sum(yy, na.rm=TRUE))))
    stopifnot(identical(prod(y), as.double(prod(yy))))
    stopifnot(identical(prod(y, na.rm=TRUE), as.double(prod(yy, na.rm=TRUE))))

[Package S4Vectors version 0.28.1 Index]