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> # Tests from Moler and Van Loan, "Nineteen Dubious Ways to Compute
> # the Exponential of a Matrix, Twenty-Fice Years Later"
> 
> suppressPackageStartupMessages(library(rexpokit))
> 
> ### From page 8
> x <- matrix(c(1, 2, 3, 4), 2, 2)
> y <- matrix(c(-1, 0, 0, -17), 2, 2)
> expy <- matrix(c(exp(-1), 0, 0, exp(-17)), 2, 2)
> z <- solve(x)
> A <- x %*% y %*% z
> 
> truth <- x %*% expy %*% z
> 
> # R CMD check --as-cran isn't running rexpokit_expm for some reason, putting
> # by-hand results here:
> #
> # test <- rexpokit::rexpokit_expm(A)
> # dput(test)
> test <- structure(c(-0.735758758144768, -1.47151759908829, 0.551819099658109, 
+ 1.10363824071559), .Dim = c(2L, 2L))
> 
> stopifnot(all.equal(test, truth))
> 
> 
> 
> ### From page 4
> lambda <- 10
> alpha <- 1
> mu <- 5
> 
> x <- matrix(c(lambda, alpha, 0, mu), 2, 2, byrow=TRUE)
> 
> truth <- matrix(c(exp(lambda), alpha*(exp(lambda)-exp(mu))/(lambda-mu), 0, exp(mu)), 2, 2, byrow=TRUE)
> 
> # R CMD check --as-cran isn't running rexpokit_expm for some reason, putting
> # by-hand results here:
> #
> # test <- rexpokit::rexpokit_expm(x)
> # dput(test)
> test <- structure(c(22026.4657948068, 0, 4375.61052714084, 148.413159102577), .Dim = c(2L, 2L))
> 
> stopifnot(all.equal(test, truth))
> 
> proc.time()
   user  system elapsed 
   0.96    0.12    1.03