R Under development (unstable) (2025-05-04 r88189 ucrt) -- "Unsuffered Consequences"
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> set.seed(20250409)
> 
> covprod <- distfreereg:::covprod
> 
> block_dims <- c(7,5,13)
> n <- sum(block_dims)
> 
> Sigma_list <- lapply(seq_along(block_dims),
+                      function(i) rWishart(1, df = block_dims[i], diag(block_dims[i]))[,,1])
> 
> Sigma_mat <- as.matrix(Matrix::bdiag(Sigma_list))
> Sigma_vec <- rnorm(n)
> Sigma_num <- rnorm(1)
> M <- matrix(rnorm(3*n), nrow = n)
> 
> all.equal(covprod(Sigma_list, M),
+           Sigma_mat %*% M)
[1] TRUE
> all.equal(covprod(Sigma_mat, M),
+           Sigma_mat %*% M)
[1] TRUE
> all.equal(covprod(Sigma_vec, M),
+           diag(Sigma_vec) %*% M)
[1] TRUE
> all.equal(covprod(Sigma_num, M),
+           diag(Sigma_num, nrow = n) %*% M)
[1] TRUE
> 
> proc.time()
   user  system elapsed 
   1.85    0.15    2.00