outer: Outer Product of Sets (Tuples)

In sets: Sets, Generalized Sets, Customizable Sets and Intervals

Outer Product of Sets (Tuples)

Description

Outer “product” of (g)sets (tuples).

Usage

set_outer(X, Y, FUN = "*", ..., SIMPLIFY = TRUE, quote = FALSE)
gset_outer(X, Y, FUN = "*", ..., SIMPLIFY = TRUE, quote = FALSE)
cset_outer(X, Y, FUN = "*", ..., SIMPLIFY = TRUE, quote = FALSE)
tuple_outer(X, Y, FUN = "*", ..., SIMPLIFY = TRUE, quote = FALSE)

Arguments

X, Y	Set (tuple) objects or vectors. If Y is omitted, X will be used instead. In this case, FUN can also be specified as Y for convenience.
FUN	A function or function name (character string).
SIMPLIFY	Logical. If TRUE and all return values of FUN are atomic and of length 1, the result will be an atomic matrix; otherwise, a recursive one (a list with dim attribute).
quote	logical indicating whether the character strings used for the row and column names of the returned matrix should be quoted.
...	Additional arguments passed to the FUN.

Details

This function applies FUN to all pairs of elements specified in X and Y. Basically intended as a replacement for outer for sets (tuples), it will also accept any vector for X and Y. The return value will be a matrix of dimension length(X) times length(Y), atomic or recursive depending on the complexity of FUN's return type and the SIMPLIFY argument.

See Also

set, tuple, outer.

Examples

set_outer(set(1,2), set(1,2,3), "/")
X <- set_outer(set(1,2), set(1,2,3), pair)
X[[1,1]]
Y <- set_outer(set(1,2), set(1,2,3), set)
Y[[1,1]]
set_outer(2 ^ set(1,2,3), set_is_subset)

tuple_outer(pair(1,2), triple(1,2,3))
tuple_outer(1:5, 1:4, "^")

sets documentation built on May 29, 2024, 10:09 a.m.