test_that("log_sum_exp() works", {
  set.seed(1)
  x <- rnorm(10)
  x[[2]] <- -Inf

  expect_equal(log(sum(exp(x))), log_sum_exp(x))

  x[[1]] <- NA_real_
  expect_equal(NA_real_, log_sum_exp(x))

  expect_equal(log(sum(exp(x), na.rm = TRUE)), log_sum_exp(x, na.rm = TRUE))

  expect_equal(log_sum_exp(c(-Inf, -Inf, -Inf)), -Inf)

})

test_that("logit/expit are inverses", {
  set.seed(1)
  pvec <- stats::runif(100)
  expect_equal(expit(logit(pvec)), pvec)
  expect_equal(logit(expit(pvec)), pvec)
})

test_that("simplex transform works", {
  set.seed(1)

  ## Check they are inverses ----
  x <- stats::runif(5)
  x <- x / sum(x)
  expect_equal(real_to_simplex(simplex_to_real(x)), x)

  y <- stats::rnorm(5)
  x <- real_to_simplex(y)
  expect_equal(sum(x), 1)
  expect_equal(simplex_to_real(x), y)

  ## Check two and one case works
  x <- c(0.3, 0.7)
  expect_equal(real_to_simplex(simplex_to_real(x)), x)

})

test_that("aggfun works", {
  expect_equal(
    aggfun(c(TRUE, TRUE, TRUE)),
    aggfun(c(TRUE, FALSE, TRUE))
  )

  expect_equal(
    aggfun(c(TRUE, FALSE, FALSE)),
    matrix(c(1, 0 , 0,
             0, 1, 1),
           nrow = 2,
           byrow = TRUE)
  )
})

test_that("projme() and ginv() provides same results", {
  set.seed(1)
  r <- 3
  n <- 10
  A <- matrix(rnorm(n = n * r), nrow = n)
  B <- tcrossprod(A)

  pout <- projme(Q = B, df = r)
  gout <- ginv(omega = B)

  expect_equal(
    gout$mat,
    pout
  )
})