Compare, order, tabulate vector-like objects
Generic functions and methods for comparing, ordering, and tabulating vector-like objects.
## Element-wise (aka "parallel") comparison of 2 Vector objects ## ------------------------------------------------------------ pcompare(x, y) ## S4 method for signature 'Vector,Vector' e1 == e2 ## S4 method for signature 'Vector,ANY' e1 == e2 ## S4 method for signature 'ANY,Vector' e1 == e2 ## S4 method for signature 'Vector,Vector' e1 <= e2 ## S4 method for signature 'Vector,ANY' e1 <= e2 ## S4 method for signature 'ANY,Vector' e1 <= e2 ## S4 method for signature 'Vector,Vector' e1 != e2 ## S4 method for signature 'Vector,ANY' e1 != e2 ## S4 method for signature 'ANY,Vector' e1 != e2 ## S4 method for signature 'Vector,Vector' e1 >= e2 ## S4 method for signature 'Vector,ANY' e1 >= e2 ## S4 method for signature 'ANY,Vector' e1 >= e2 ## S4 method for signature 'Vector,Vector' e1 < e2 ## S4 method for signature 'Vector,ANY' e1 < e2 ## S4 method for signature 'ANY,Vector' e1 < e2 ## S4 method for signature 'Vector,Vector' e1 > e2 ## S4 method for signature 'Vector,ANY' e1 > e2 ## S4 method for signature 'ANY,Vector' e1 > e2 ## sameAsPreviousROW() ## ------------------- sameAsPreviousROW(x) ## match() ## ------- ## S4 method for signature 'Vector,Vector' match(x, table, nomatch = NA_integer_, incomparables = NULL, ...) ## selfmatch() ## ----------- selfmatch(x, ...) ## duplicated() & unique() ## ----------------------- ## S4 method for signature 'Vector' duplicated(x, incomparables=FALSE, ...) ## S4 method for signature 'Vector' unique(x, incomparables=FALSE, ...) ## %in% ## ---- ## S4 method for signature 'Vector,Vector' x %in% table ## S4 method for signature 'Vector,ANY' x %in% table ## S4 method for signature 'ANY,Vector' x %in% table ## findMatches() & countMatches() ## ------------------------------ findMatches(x, table, select=c("all", "first", "last"), ...) countMatches(x, table, ...) ## sort() ## ------ ## S4 method for signature 'Vector' sort(x, decreasing=FALSE, na.last=NA, by) ## rank() ## ------ ## S4 method for signature 'Vector' rank(x, na.last = TRUE, ties.method = c("average", "first", "last", "random", "max", "min"), by) ## xtfrm() ## ------- ## S4 method for signature 'Vector' xtfrm(x) ## table() ## ------- ## S4 method for signature 'Vector' table(...)
x, y, e1, e2, table |
Vector-like objects. |
nomatch |
See |
incomparables |
The The See The |
select |
Only |
ties.method |
See |
decreasing, na.last |
See |
by |
A formula referencing the metadata columns by which to sort,
e.g., |
... |
A Vector object for Otherwise, extra arguments supported by specific methods. In particular:
|
Doing pcompare(x, y)
on 2 vector-like objects x
and y
of length 1 must return an integer less than, equal to, or greater than zero
if the single element in x
is considered to be respectively less than,
equal to, or greater than the single element in y
.
If x
or y
have a length != 1, then they are typically expected
to have the same length so pcompare(x, y)
can operate element-wise,
that is, in that case it returns an integer vector of the same length
as x
and y
where the i-th element is the result of compairing
x[i]
and y[i]
. If x
and y
don't have the same
length and are not zero-length vectors, then the shortest is first
recycled to the length of the longest. If one of them is a zero-length
vector then pcompare(x, y)
returns a zero-length integer vector.
selfmatch(x, ...)
is equivalent to match(x, x, ...)
. This
is actually how the default ANY
method is implemented. However note
that the default selfmatch(x, ...)
for Vector x
will
typically be more efficient than match(x, x, ...)
, and can be made
even more so if a specific selfmatch
method is implemented for a
given subclass.
findMatches
is an enhanced version of match
which, by default
(i.e. if select="all"
), returns all the matches in a Hits
object.
countMatches
returns an integer vector of the length of x
containing the number of matches in table
for each element
in x
.
For pcompare
: see Details section above.
For sameAsPreviousROW
: a logical vector of length equal to x
,
indicating whether each entry of x
is equal to the previous entry.
The first entry is always FALSE
for a non-zero-length x
.
For match
and selfmatch
: an integer vector of the
same length as x
.
For duplicated
, unique
, and %in%
: see
?BiocGenerics::duplicated
,
?BiocGenerics::unique
,
and ?`%in%`
.
For findMatches
: a Hits object by default (i.e. if
select="all"
).
For countMatches
: an integer vector of the length of x
containing the number of matches in table
for each element
in x
.
For sort
: see ?BiocGenerics::sort
.
For xtfrm
: see ?base::xtfrm
.
For table
: a 1D array of integer values promoted to the
"table"
class. See ?BiocGeneric::table
for more information.
The following notes are for developers who want to implement comparing, ordering, and tabulating methods for their own Vector subclass.
Subclass comparison methods can be split into various categories. The first category must be implemented for each subclass, as these do not have sensible defaults for arbitrary Vector objects:
The S4Vectors package provides no order
method for
Vector objects. So calling order
on a Vector
derivative for which no specific order
method is defined
will use base::order
, which calls xtfrm
, with in
turn calls order
, which calls xtfrm
, and so on.
This infinite recursion of S4 dispatch eventually results in an
error about reaching the stack limit.
To avoid this behavior, a specialized order
method needs
to be implemented for specific Vector subclasses (e.g.
for Hits and IntegerRanges objects).
sameAsPreviousROW
is default implemented on top of the
==
method, so will work out-of-the-box on Vector
objects for which ==
works as expected. However, ==
is default implemented on top of pcompare
, which itself has
a default implementation that relies on sameAsPreviousROW
!
This again leads to infinite recursion and an error about the stack
limit.
To avoid this behavior, a specialized sameAsPreviousROW
method
must be implemented for specific Vector subclasses.
The second category contains methods that have default implementations provided for all Vector objects and their derivatives. These methods rely on the first category to provide sensible default behaviour without further work from the developer. However, it is often the case that greater efficiency can be achieved for a specific data structure by writing a subclass-specific version of these methods.
The pcompare
method for Vector objects is implemented
on top of order
and sameAsPreviousROW
, and so will
work out-of-the-box on Vector derivatives for which
order
and sameAsPreviousROW
work as expected.
The xtfrm
method for Vector objects is also implemented
on top of order
and sameAsPreviousROW
, and so will
also work out-of-the-box on Vector derivatives for which
order
and sameAsPreviousROW
work as expected.
selfmatch
is itself implemented on top of xtfrm
(indirectly, via grouping
) so it will work
out-of-the-box on Vector objects for which xtfrm
works as expected.
The match
method for Vector objects is
implemented on top of selfmatch
, so works out-of-the-box
on Vector objects for which selfmatch
works as expected.
(A careful reader may notice that xtfrm
and order
could be
swapped between categories to achieve the same effect. Similarly,
sameAsPreviousROW
and pcompare
could also be swapped. The exact
categorization of these methods is left to the discretion of the developer,
though this is mostly academic if both choices are specialized.)
The third category also contains methods that have default implementations, but unlike the second category, these defaults are straightforward and generally do not require any specialization for efficiency purposes.
The 6 traditional binary comparison operators are: ==
,
!=
, <=
, >=
, <
, and >
.
The S4Vectors package provides the following methods for
these operators:
setMethod("==", c("Vector", "Vector"), function(e1, e2) { pcompare(e1, e2) == 0L } ) setMethod("<=", c("Vector", "Vector"), function(e1, e2) { pcompare(e1, e2) <= 0L } ) setMethod("!=", c("Vector", "Vector"), function(e1, e2) { !(e1 == e2) } ) setMethod(">=", c("Vector", "Vector"), function(e1, e2) { e2 <= e1 } ) setMethod("<", c("Vector", "Vector"), function(e1, e2) { !(e2 <= e1) } ) setMethod(">", c("Vector", "Vector"), function(e1, e2) { !(e1 <= e2) } )
With these definitions, the 6 binary operators work out-of-the-box
on Vector objects for which pcompare
works the
expected way. If pcompare
is not implemented, then it's
enough to implement ==
and <=
methods to have the
4 remaining operators (!=
, >=
, <
, and
>
) work out-of-the-box.
The duplicated
, unique
, and %in%
methods for
Vector objects are implemented on top of selfmatch
,
duplicated
, and match
, respectively, so they work
out-of-the-box on Vector objects for which selfmatch
,
duplicated
, and match
work the expected way.
Also the default findMatches
and countMatches
methods
are implemented on top of match
and selfmatch
so they
work out-of-the-box on Vector objects for which those things
work the expected way.
The sort
method for Vector objects is implemented on
top of order
, so it works out-of-the-box on Vector
objects for which order
works the expected way.
The table
method for Vector objects is implemented on
top of selfmatch
, order
, and as.character
, so
it works out-of-the-box on a Vector object for which those
things work the expected way.
Hervé Pagès, with contributions from Aaron Lun
The Vector class.
Hits-comparison for comparing and ordering hits.
Vector-setops for set operations on vector-like objects.
Vector-merge for merging vector-like objects.
IntegerRanges-comparison in the IRanges package for comparing and ordering ranges.
==
and %in%
in the base package,
and BiocGenerics::match
,
BiocGenerics::duplicated
,
BiocGenerics::unique
,
BiocGenerics::order
,
BiocGenerics::sort
,
BiocGenerics::rank
in the
BiocGenerics package for general information about
the comparison/ordering operators and functions.
The Hits class.
BiocGeneric::table
in the
BiocGenerics package.
## --------------------------------------------------------------------- ## A. SIMPLE EXAMPLES ## --------------------------------------------------------------------- y <- c(16L, -3L, -2L, 15L, 15L, 0L, 8L, 15L, -2L) selfmatch(y) x <- c(unique(y), 999L) findMatches(x, y) countMatches(x, y) ## See ?`IntegerRanges-comparison` for more examples (on IntegerRanges ## objects). You might need to load the IRanges package first. ## --------------------------------------------------------------------- ## B. FOR DEVELOPERS: HOW TO IMPLEMENT THE BINARY COMPARISON OPERATORS ## FOR YOUR Vector SUBCLASS ## --------------------------------------------------------------------- ## The answer is: don't implement them. Just implement pcompare() and the ## binary comparison operators will work out-of-the-box. Here is an ## example: ## (1) Implement a simple Vector subclass. setClass("Raw", contains="Vector", representation(data="raw")) setMethod("length", "Raw", function(x) length(x@data)) setMethod("[", "Raw", function(x, i, j, ..., drop) { x@data <- x@data[i]; x } ) x <- new("Raw", data=charToRaw("AB.x0a-BAA+C")) stopifnot(identical(length(x), 12L)) stopifnot(identical(x[7:3], new("Raw", data=charToRaw("-a0x.")))) ## (2) Implement a "pcompare" method for Raw objects. setMethod("pcompare", c("Raw", "Raw"), function(x, y) {as.integer(x@data) - as.integer(y@data)} ) stopifnot(identical(which(x == x[1]), c(1L, 9L, 10L))) stopifnot(identical(x[x < x[5]], new("Raw", data=charToRaw(".-+"))))
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