#### Permutation Matrices -- Coercion and Methods
### NB "pMatrix" extends "indMatrix" and inherits methods --> indMatrix.R
## The typical 'constructor' : coerce from 'index'
setAs("integer", "pMatrix",
function(from) {
nn <- names(from)
new("pMatrix", Dim = rep.int(length(from), 2L), Dimnames = list(nn,nn),
perm = from)
})
setAs("numeric", "pMatrix",
function(from)
if(all(from == (i <- as.integer(from)))) as(i, "pMatrix")
else stop("coercion to \"pMatrix\" only works from integer numeric"))
setAs("nMatrix", "pMatrix",
function(from) {
from <- as(as(from, "TsparseMatrix"), "ngTMatrix")
n <- (d <- from@Dim)[1]
if(n != d[2]) stop("not a square matrix")
if(length(i <- from@i) != n)
stop("the number of non-zero entries differs from nrow(.)")
if((need.sort <- is.unsorted(i))) {
ii <- sort.list(i)
i <- i[ii]
}
if(n >= 1 && !identical(i, 0:(n - 1)))
stop("must have exactly one non-zero entry per row")
new("pMatrix", ## validity checking checks the 'perm' slot:
perm = 1L + if(need.sort) from@j[ii] else from@j,
Dim = d, Dimnames = from@Dimnames)
})
setAs("matrix", "pMatrix", function(from) as(as(from, "nMatrix"), "pMatrix"))
setMethod("solve", signature(a = "pMatrix", b = "missing"),
function(a, b, ...) {
a@perm <- invPerm(a@perm)
a@Dimnames <- a@Dimnames[2:1]
a
})
setMethod("solve", signature(a = "pMatrix", b = "Matrix"),
function(a, b, ...) crossprod(a, b))
setMethod("solve", signature(a = "pMatrix", b = "matrix"),
function(a, b, ...) crossprod(a, b))
setMethod("solve", signature(a = "Matrix", b = "pMatrix"),
function(a, b, ...)
## Or alternatively solve(a, as(b, "CsparseMatrix"))
solve(a)[, invPerm(b@perm)])
setMethod("determinant", signature(x = "pMatrix", logarithm = "logical"),
function(x, logarithm, ...) {
if(any(x@Dim == 0)) mkDet(numeric(0))
else mkDet(logarithm=logarithm, ldet = 0, sig = signPerm(x@perm))
})
## t(pM) is == the inverse pM^(-1):
setMethod("t", signature(x = "pMatrix"), function(x) solve(x))
setMethod("%*%", signature(x = "matrix", y = "pMatrix"),
function(x, y) { mmultCheck(x,y); x[, invPerm(y@perm)] })
setMethod("%*%", signature(x = "Matrix", y = "pMatrix"),
function(x, y) { mmultCheck(x,y); x[, invPerm(y@perm)] })
setMethod("%*%", signature(x = "pMatrix", y = "pMatrix"),
function(x, y) {
stopifnot(identical(x@Dim, y@Dim))
## FIXME: dimnames dealing: as with S3 matrix's %*%
x@perm <- x@perm[y@perm]
x
})
setMethod("crossprod", signature(x = "pMatrix", y = "matrix"),
function(x, y) { mmultCheck(x,y, 2L); y[invPerm(x@perm) ,]})
setMethod("crossprod", signature(x = "pMatrix", y = "Matrix"),
function(x, y) { mmultCheck(x,y, 2L); y[invPerm(x@perm) ,]})
setMethod("crossprod", signature(x = "pMatrix", y = "pMatrix"),
function(x, y) {
stopifnot(identical(x@Dim, y@Dim))
x@perm <- invPerm(x@perm)[y@perm]
x
})
setMethod("tcrossprod", signature(x = "pMatrix", y = "pMatrix"),
function(x, y) {
stopifnot(identical(x@Dim, y@Dim))
x@perm <- x@perm[invPerm(y@perm)]
x
})
setMethod("crossprod", signature(x = "pMatrix", y = "missing"),
function(x, y=NULL) Diagonal(nrow(x)))
setMethod("tcrossprod", signature(x = "pMatrix", y = "missing"),
function(x, y=NULL) Diagonal(nrow(x)))
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.