R Under development (unstable) (2026-01-25 r89330 ucrt) -- "Unsuffered Consequences"
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> # Tests for a few edge cases
> require("irlba")
Loading required package: irlba
Loading required package: Matrix
> loc <- ""
> 
> test <- function()
+ {
+   on.exit(message("Error occured in: ", loc))
+   # Dense matrix
+   loc <<- "dense"
+   set.seed(1)
+   A <- matrix(rnorm(16), 4)
+   L <- irlba(A, nu=1, nv=1, tol=1e-9, fastpath=FALSE)
+   L1 <- irlba(A, nu=1, nv=1, tol=1e-9, fastpath=TRUE)
+   S <- svd(A, nu=1, nv=1)
+   if (!isTRUE(all.equal(L$d, S$d[1])))
+   {
+     stop("Failed tiny reference example ")
+   }
+   if (!isTRUE(all.equal(L1$d, S$d[1])))
+   {
+     stop("Failed tiny fastpath example")
+   }
+ 
+   # Tickle misc. checks
+   loc <<- "misc"
+   set.seed(1)
+   A <- matrix(rnorm(100), 10)
+   L <- tryCatch(irlba(A, nv=3, tol=1e-9, fastpath=FALSE, work=2, v=rep(0, nrow(A))), error=function(e) "NULLSPACE")
+   S <- svd(A)
+   L <- irlba(A, nv=3, tol=1e-9, fastpath=FALSE, work=2, v=S$v[, 1])
+   A <- S$u %*% diag(c(1, 1, 1, 1, 1, 1, 1, 1, 1, 1e-12)) %*% t(S$v)
+   L <- irlba(A, nv=3, tol=1e-9, fastpath=FALSE, work=2, reorth=FALSE)
+ 
+   # Convergence
+   loc <<- "convergence"
+   A <- S$u %*% (c(1e-5, rep(1e-9, 9)) * t(S$v))
+   for (tol in 10 ^ - (7:11))
+   {
+     L <- irlba(A, 3, tol=tol, svtol=Inf)
+     converged <- svd(A %*% L$v - L$u  %*% diag(L$d))$d[1] < tol * L$d[1]
+     stopifnot(converged)
+   }
+ 
+   # Sparse but not dgCMatrix (issue #6)
+   loc <<- "misc sparse"
+   A <- Matrix(matrix(rnorm(100), 10))
+   L <- irlba(A, nv=1)
+   S <- svd(A, nu=1, nv=1)
+   if (!isTRUE(all.equal(L$d, S$d[1])))
+   {
+     stop("Failed general sparse matrix example ")
+   }
+ 
+   A <- Matrix(sample(c(FALSE, TRUE), 100, replace=TRUE), 10, 10)
+   L <- irlba(A, nv=1)
+   S <- svd(A, nu=1, nv=1)
+   if (!isTRUE(all.equal(L$d, S$d[1])))
+   {
+     stop("Failed logical sparse matrix example ")
+   }
+ 
+   # Test for issue #7, a really dumb bug.
+   loc <<- "issue 7"
+   mx <- matrix(sample(1:10, 10 * 100, replace=TRUE), nrow=10)
+   S <- irlba(mx, nv=2, verbose=TRUE, center=colMeans(mx), right_only=TRUE)
+ 
+   # test for issue #9
+   loc <<- "issue 9"
+   set.seed(2)
+   s1 <- irlba(diag(c(1, 2, 3, 4, 5, 0, 0, 0, 0)), 4, fastpath=FALSE)
+   set.seed(2)
+   s2 <- irlba(diag(c(1, 2, 3, 4, 5, 0, 0, 0, 0)), 4, fastpath=TRUE)
+   stopifnot(all.equal(s1$d, s2$d))
+   # Repeat this test with different seed
+   set.seed(3)
+   s2 <- irlba(diag(c(1, 2, 3, 4, 5, 0, 0, 0, 0)), 4, fastpath=TRUE)
+   stopifnot(all.equal(s1$d, s2$d))
+ 
+   loc <<- "issue 26"
+   set.seed(1)
+   r <- 10
+   n <- 1000
+   X1 <- matrix(rnorm(n * r), n)
+   X2 <- matrix(rnorm(n * r), n)
+   X <- X1 %*% t(X2)
+   l <- irlba(X, 20, fastpath=TRUE)$d
+   stopifnot(all.equal(tail(l, 10), rep(0, 10)))
+   l <- irlba(X, 20, fastpath=FALSE)$d
+   stopifnot(all.equal(tail(l, 10), rep(0, 10)))
+ 
+   on.exit()
+ }
> 
> test()
Warning in irlba(A, nv = 3, tol = 1e-09, fastpath = FALSE, work = 2, reorth = FALSE) :
  The matrix is ill-conditioned. Basis will be reorthogonalized.
Warning in irlba(A, 3, tol = tol, svtol = Inf) :
  convergence criterion below machine epsilon
Working dimension size 9
iter= 1, mprod= 18, sv[2]=3.18e+01, %change=, k=2
iter= 2, mprod= 32, sv[2]=3.18e+01, %change=6.90e-05, k=4
iter= 3, mprod= 42, sv[2]=3.18e+01, %change=2.37e-12, k=4
> 
> proc.time()
   user  system elapsed 
   1.79    0.20    1.93