R Under development (unstable) (2024-09-01 r87083 ucrt) -- "Unsuffered Consequences" Copyright (C) 2024 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > > library("mvtnorm") > > chk <- function(...) isTRUE(all.equal(...)) > > m <- 1:3 > > s <- diag(1:3) > s[2,1] <- 1 > s[3,1] <- 2 > s[3,2] <- 3 > s <- s+t(s) > > set.seed(1) > > x <- rmvnorm(10000, m, s) > stopifnot(chk(m, colMeans(x), tolerance=0.01)) > stopifnot(chk(s, var(x), tolerance=0.1)) > > x <- rmvnorm(10000, m, s, method="svd") > stopifnot(chk(m, colMeans(x), tolerance=0.01)) > stopifnot(chk(s, var(x), tolerance=0.1)) > > x <- rmvnorm(10000, m, s, method="chol") > stopifnot(chk(m, colMeans(x), tolerance=0.01)) > stopifnot(chk(s, var(x), tolerance=0.1)) > > ### suggested by Paul Johnson > set.seed(29) > x <- rmvnorm(2, sigma = diag(2)) > set.seed(29) > y <- rmvnorm(3, sigma = diag(2))[1:2,] > stopifnot(chk(x, y)) > > ### Speed > p <- 200 > set.seed(17) > rcond(Sig <- cov(matrix(rnorm((p+p)*p), ncol = p))) # 0.00286, ok [1] 0.002862034 > mu <- 1:p > > set.seed(101) > system.time(x <- rmvnorm(10000, mu, Sig)) user system elapsed 0.62 0.00 0.63 > stopifnot(chk(mu, colMeans(x), tolerance= 0.001), + chk(Sig, cov(x), tolerance= 0.2)) > > set.seed(101) > system.time(x <- rmvnorm(10000, mu, Sig, method="svd")) user system elapsed 0.58 0.05 0.63 > stopifnot(chk(mu, colMeans(x), tolerance= 0.001), + chk(Sig, cov(x), tolerance= 0.2)) > > set.seed(101) > system.time(x <- rmvnorm(10000, mu, Sig, method="chol")) user system elapsed 0.48 0.05 0.53 > ## 'chol' is 5-10 % faster than the other two > stopifnot(chk(mu, colMeans(x), tolerance= 0.001), + chk(Sig, cov(x), tolerance= 0.2)) > > proc.time() user system elapsed 3.43 0.20 3.62