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### triangular packed
library(Matrix)
cp6 <- chol(Hilbert(6))
tp6 <- as(cp6,"dtpMatrix")
round(tp6, 3)## round() is "Math2" group method
1/tp6 ## "Arith" group : gives 'dgeMatrix'
str(tp6)
## arithmetic with a mix of dimnames / no dimnames
tp <- tp6; dimnames(tp) <- list(LETTERS[1:6], letters[11:16])
## as.matrix() --> "logical" matrix
stopifnot(as.matrix(tp - tp6 == tp6 - tp),
as.matrix(0 == tp - tp6))
stopifnot(validObject(tp6),
all.equal(tp6 %*% diag(6), as(tp6, "dgeMatrix")),
validObject(tp6. <- diag(6) %*% tp6),
class((tt6 <- t(tp6))) == "dtpMatrix",
identical(t(tt6), tp6),
tp6@uplo == "U" && tt6@uplo == "L")
all.equal(as(tp6.,"matrix"),
as(tp6, "matrix"), tol= 1e-15)
(tr6 <- as(tp6, "dtrMatrix")) ## prints using wrong class name
D. <- determinant(tp6)
rc <- rcond(tp6)
stopifnot(all.equal(c(D.$modulus), -6.579251212),
all.equal(rc, 1.791511257e-4),
all.equal(norm(tp6, "I") , 2.45),
all.equal(norm(tp6, "1") , 1),
all.equal(norm(tp6, "F") , 1.37047826623)
)
object.size(tp6)
object.size(as(tp6, "dtrMatrix"))
object.size(as(tp6, "matrix"))
D6 <- as(diag(6), "dgeMatrix")
ge6 <- as(tp6, "dgeMatrix")
stopifnot(all.equal(D6 %*% tp6, ge6),
all.equal(tp6 %*% D6, ge6))
## larger case
set.seed(123)
rl <- new("dtpMatrix", uplo="L", diag="N", Dim = rep.int(1000:1000,2),
x = rnorm(500*1001))
validObject(rl)
str(rl)
sapply(c("I", "1", "F"), function(type) norm(rl, type=type))
rcond(rl)# 0 !
stopifnot(all.equal(as(rl %*% diag(1000),"matrix"),
as(rl, "matrix")))
object.size(rl) ## 4 MB
object.size(as(rl, "dtrMatrix"))# 8 MB
object.size(as(rl, "matrix"))# ditto
determinant(rl)
cat('Time elapsed: ', proc.time(),'\n') # for ``statistical reasons''
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