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

```### triangular packed
library(Matrix)
source(system.file("test-tools.R", package = "Matrix"))# identical3() etc

cp6 <- chol(H6 <- Hilbert(6))
(tp6 <- as(cp6, "packedMatrix"))
stopifnot(exprs = {
grepl("^6 x 6 Matrix .*Cholesky\"", capture.output(cp6)[[1]])
grepl("^6 x 6 Matrix .*Cholesky\"", capture.output(tp6)[[1]])
})
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),
identical(as(tp6,"CsparseMatrix"),
as(cp6,"CsparseMatrix")))

stopifnot(validObject(tp6),
all.equal(tp6 %*% diag(6), as(tp6, "generalMatrix")),
validObject(tp6. <- diag(6) %*% tp6),
class((tt6 <- t(tp6))) == "pCholesky",
identical(t(tt6), tp6),
tp6@uplo == "U" && tt6@uplo == "L")

all.equal(as(tp6.,"matrix"),
as(tp6, "matrix"), tolerance= 1e-15)
dH6 <- determinant(H6)
D. <- determinant(tp6)
rc <- rcond(tp6)
stopifnot(all.equal(dH6\$modulus, determinant(as.matrix(H6))\$modulus),
is.all.equal3(c(D.\$modulus), c(dH6\$modulus) / 2, -19.883103353),
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, "unpackedMatrix"))
object.size(as(tp6, "matrix"))
D6 <- as(diag(6), "generalMatrix")
ge6 <- as(tp6, "generalMatrix")
stopifnot(all.equal(D6 %*% tp6, ge6),
all.equal(tp6 %*% D6, ge6))

## larger case
RNGversion("3.6.0")# future proof
set.seed(123)
rl <- new("dtpMatrix", uplo="L", diag="N", Dim = c(1000L, 1000L),
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, "unpackedMatrix"))# 8 MB
object.size(as(rl, "matrix"))# ditto
print(drl <- determinant(rl), digits = 12)
stopifnot(all.equal(c(drl\$modulus), -638.257312422))

cat('Time elapsed: ', proc.time(),'\n') # for ``statistical reasons''
```

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Matrix documentation built on Nov. 11, 2022, 9:06 a.m.