test_that("npcdensbw NOMAD degree search backend improves over the baseline", {
  skip_if_not_installed("crs")

  old_opts <- options(np.messages = FALSE, np.tree = FALSE)
  on.exit(options(old_opts), add = TRUE)

  set.seed(20260319)
  dat <- data.frame(x = sort(runif(14)))
  dat$y <- dat$x + rnorm(nrow(dat), sd = 0.08)

  bw <- np::npcdensbw(
    y ~ x,
    data = dat,
    regtype = "lp",
    degree.select = "coordinate",
    search.engine = "nomad",
    degree.min = 0L,
    degree.max = 1L,
    bwtype = "fixed",
    bwmethod = "cv.ls",
    nmulti = 1L
  )

  expect_s3_class(bw, "conbandwidth")
  expect_identical(bw$degree.search$mode, "nomad")
  expect_true(isTRUE(bw$degree.search$completed))
  expect_gte(bw$degree.search$n.unique, 1L)
  expect_gte(bw$degree.search$best.fval, bw$degree.search$baseline.fval - 1e-10)
})
