Manipulation of array selections
NOTE: The tools documented in this man page are primarily intended for developers or advanced users curious about the internals of the DelayedArray package. End users typically don't need them for their regular use of DelayedArray objects.
An array selection is just an index into an array-like object that contains the information of which array elements are selected. This index can take various forms but 3 special forms are particularly useful and extensively used thoughout the DelayedArray framework: linear index (also referred to as L-index or Lindex), matrix index (also referred to as M-index or Mindex), N-dimensional index (also referred to as N-index or Nindex). See Details section below for more information.
Two utility functions are provided at the moment to convert back and forth between L-indices and M-indices. More will be added in the future to convert between other types of array indices.
## Convert back and forth between L-indices and M-indices: Lindex2Mindex(Lindex, dim, use.names=FALSE) Mindex2Lindex(Mindex, dim, use.names=FALSE, as.integer=FALSE)
Lindex |
An L-index. See Details section below. |
Mindex |
An M-index. See Details section below. For convenience, |
dim |
An integer vector containing the dimensions of the underlying array. Note that |
use.names |
Should the names (or rownames) on the input be propagated to the output? |
as.integer |
Set to By default, i.e. when
Note that with these rules, Use |
The 3 special forms of array indices extensively used thoughout the DelayedArray framework:
Linear index (or L-index or Lindex): A numeric vector with no NAs where each value is >= 1 and <= the length of the array-like object. When using an L-index to subset an array-like object, the returned value is a vector-like object (i.e. no dimensions) of the same length as the L-index.
Example:
a <- array(101:124, 4:2) Lindex <- c(7, 2, 24, 2) a[Lindex]
Matrix index (or M-index or Mindex): An integer matrix with one column per dimension in the array-like object and one row per array element in the selection. No NAs. The values in each column must be >= 1 and <= the extent of the array-like object along the corresponding dimension. When using an M-index to subset an array-like object, the returned value is a vector-like object (i.e. no dimensions) of length the number of rows in the M-index.
Example:
a <- array(101:124, 4:2) Mindex <- rbind(c(3, 2, 1), c(2, 1, 1), c(4, 3, 2), c(2, 1, 1)) a[Mindex]
Note that this is the type of index returned by
base::arrayInd
.
N-dimensional (or N-index or Nindex):
A list with one list element per dimension in the array-like object.
Each list element must be a subscript describing the selection along
the corresponding dimension of the array-like object.
IMPORTANT: A NULL
subscript is interpreted as a missing
subscript ("missing" like in a[ , , 1:2]
), that is, as a
subscript that runs along the full extend of the corresponding
dimension of the array-like object. This means that before an
N-index can be used in a call to [
, [<-
, [[
or [[<-
, the NULL
list elements in it must be
replaced with objects of class "name"
.
When using an N-index to subset an array-like object, the returned
value is another array-like object of dimensions the lengths of the
selections along each dimensions.
Examples:
a <- array(101:124, 4:2) ## Normalized N-index: Nindex <- list(c(1, 4, 1), NULL, 1) ## Same as a[c(1, 4, 1), , 1, drop=FALSE]: DelayedArray:::subset_by_Nindex(a, Nindex) Nindex <- list(integer(0), NULL, 1) ## Same as a[integer(0), , 1, drop=FALSE]: DelayedArray:::subset_by_Nindex(a, Nindex) ## Non-normalized N-index: Nindex <- list(-3, NULL, 1) Nindex <- DelayedArray:::normalizeNindex(Nindex, a) ## Same as a[-3, , 1, drop=FALSE]: DelayedArray:::subset_by_Nindex(a, Nindex) Nindex <- list(IRanges(2, 4), NULL, 1) Nindex <- DelayedArray:::normalizeNindex(Nindex, a) ## Same as a[2:4, , 1, drop=FALSE]: DelayedArray:::subset_by_Nindex(a, Nindex) dimnames(a)[[1]] <- LETTERS[1:4] Nindex <- list(c("D", "B"), NULL, 1) Nindex <- DelayedArray:::normalizeNindex(Nindex, a) ## Same as a[c("D", "B"), , 1, drop=FALSE]: DelayedArray:::subset_by_Nindex(a, Nindex)
Lindex2Mindex
returns an M-index.
Mindex2Lindex
returns an L-index.
arrayInd
in the base package.
dim <- 4:2 Mindex2Lindex(c(4, 3, 1), dim) Mindex2Lindex(c(4, 3, 2), dim) Mindex <- rbind(c(1, 1, 1), c(2, 1, 1), c(3, 1, 1), c(4, 1, 1), c(1, 2, 1), c(1, 1, 2), c(4, 3, 2)) Mindex2Lindex(Mindex, dim) ## With a matrix of dimensions: dims <- rbind(c(4L, 3L), c(5L, 3L), c(6L, 3L)) Mindex <- rbind(c(1, 2), c(1, 2), c(1, 2)) Mindex2Lindex(Mindex, dims) ## Sanity checks: dim <- c(33:30, 45L, 30L) stopifnot(Mindex2Lindex(rep(1, 6), dim) == 1) stopifnot(Mindex2Lindex(dim, dim) == prod(dim)) stopifnot(identical(Mindex2Lindex(arrayInd(1:120, 6:4), 6:4), 1:120)) stopifnot(identical(Mindex2Lindex(arrayInd(840:1, 4:7), 4:7), 840:1))
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