# R/dpoMatrix.R In Matrix: Sparse and Dense Matrix Classes and Methods

#### Defines functions mkDet.via.cholto_dpo

```#### Positive-definite Symmetric Matrices -- Coercion and Methods

setAs("dpoMatrix", "dppMatrix",
function(from)
copyClass(.Call(dsyMatrix_as_dspMatrix, from),
"dppMatrix",
sNames = c("x", "Dim", "Dimnames", "uplo", "factors")))#FIXME , check=FALSE

setAs("dpoMatrix", "corMatrix",
function(from) {
if(!is.null(cm <- from@factors\$correlation)) return(cm)
## else
sd <- sqrt(diag(from))
if(is.null(names(sd)) && !is.null(nms <- from@Dimnames[[1]]))
names(sd) <- nms
Is <- Diagonal(x = 1/sd)
.set.factors(from, "correlation",
new("corMatrix", as(forceSymmetric(Is %*% from %*% Is),
"dpoMatrix"),
sd = unname(sd)))
})

setAs("dpoMatrix", "lMatrix",
function(from) as(as(from, "dsyMatrix"), "lMatrix"))
setAs("dpoMatrix", "nMatrix",
function(from) as(as(from, "dsyMatrix"), "nMatrix"))

if(FALSE) # should no longer be needed
setAs("corMatrix", "lMatrix",
function(from) as(as(from, "dpoMatrix"), "lMatrix"))

## Needed *in addition* to the general to_dpo() method below:
setAs("dspMatrix", "dpoMatrix",
function(from) as(as(from,"dsyMatrix"), "dpoMatrix"))

to_dpo <- function(from) # not coercing to "dsy*" explicitly:
as(as(as(as(from, "symmetricMatrix"), "dMatrix"),
"denseMatrix"), "dpoMatrix")
setAs("Matrix", "dpoMatrix", to_dpo)
setAs("matrix", "dpoMatrix", to_dpo)

setMethod("chol", signature(x = "dpoMatrix"),
function(x, pivot, ...) .Call(dpoMatrix_chol, x))

setMethod("rcond", signature(x = "dpoMatrix", norm = "character"),
function(x, norm, ...) .Call(dpoMatrix_rcond, x, norm))

setMethod("rcond", signature(x = "dpoMatrix", norm = "missing"),
function(x, norm, ...) .Call(dpoMatrix_rcond, x, "O"))

setMethod("solve", signature(a = "dpoMatrix", b = "missing"),
function(a, b, ...) .Call(dpoMatrix_solve, a),
valueClass = "dpoMatrix")

setMethod("solve", signature(a = "dpoMatrix", b = "dgeMatrix"),
function(a, b, ...) .Call(dpoMatrix_dgeMatrix_solve, a, b),
valueClass = "dgeMatrix")

setMethod("solve", signature(a = "dpoMatrix", b = "matrix"),
function(a, b, ...) .Call(dpoMatrix_matrix_solve, a, b),
valueClass = "matrix")

mkDet.via.chol <- function(x, logarithm, ...)
mkDet(logarithm, ldet = 2*sum(log(abs(diag(chol(x))))), sig = 1L)

setMethod("determinant", signature(x = "dpoMatrix", logarithm = "logical"), mkDet.via.chol)
setMethod("determinant", signature(x = "dpoMatrix", logarithm = "missing"),
function(x, logarithm, ...) mkDet.via.chol(x, logarithm=TRUE))

## Is this usable / necessary?  -- FIXME!
## setMethod("solve", signature(a = "dpoMatrix", b = "numeric"),
##          function(a, b, ...)
##          as.numeric(.Call(dpoMatrix_matrix_solve,
##                           a, as.matrix(b))),
##          valueClass = "numeric")
```

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Matrix documentation built on Aug. 20, 2018, 3:01 p.m.