bt <- bigarx_boot(USArrests, B = 200, seed = 123, progress = FALSE)

test_that("la estimacion puntual coincide con el biplot original", {
  f <- bigarx(USArrests)
  t <- bt$table
  ine <- t[t$tipo == "inercia", "estimacion"]
  expect_equal(ine, f$inertia$inercia[1:3])
  co <- t[t$tipo == "coordenada" & t$eje == "Eje1", "estimacion"]
  expect_equal(co, unname(f$cols[, 1]))
  cal <- t[t$tipo == "calidad", "estimacion"]
  expect_equal(cal, unname(rowSums(f$quality_cols[, 1:2])))
})

test_that("bootstrap reproducible con semilla y estructura correcta", {
  bt2 <- bigarx_boot(USArrests, B = 200, seed = 123, progress = FALSE)
  expect_equal(bt$table, bt2$table)
  expect_equal(bt$B, 200)
  expect_true(all(bt$table$inferior <= bt$table$superior))
  expect_equal(sum(bt$table$tipo == "angulo_variables"), choose(4, 2))
})

test_that("los angulos estan entre 0 y 180 grados", {
  a <- bt$replicates[, grepl("^angulo", colnames(bt$replicates))]
  expect_true(all(a >= 0 & a <= 180))
})

test_that("la alineacion de signos evita intervalos inflados", {
  # Assault carga fuerte en el eje 1: su intervalo no debe cruzar el cero
  t <- bt$table
  r <- t[t$tipo == "coordenada" & t$elemento == "Assault" & t$eje == "Eje1", ]
  expect_true(r$inferior > 0 || r$superior < 0)
})

test_that("intervalos normales usan el error estandar", {
  bn <- bigarx_boot(USArrests, B = 200, seed = 1, ci = "normal", progress = FALSE)
  t <- bn$table
  expect_equal(t$superior - t$estimacion, qnorm(0.975) * t$ee)
})

test_that("con datos simulados, el intervalo del angulo cubre el valor poblacional", {
  set.seed(42)
  n <- 300
  z1 <- rnorm(n); z2 <- rnorm(n)
  X <- cbind(a = z1, b = z1 + 0.3 * rnorm(n), c = z2, d = z2 + 0.3 * rnorm(n))
  b <- bigarx_boot(X, B = 300, seed = 2, progress = FALSE)
  t <- b$table
  ang_ab <- t[t$tipo == "angulo_variables" & t$elemento == "a-b", ]
  ang_ac <- t[t$tipo == "angulo_variables" & t$elemento == "a-c", ]
  expect_lt(ang_ab$superior, 30)        # muy correlacionadas: angulo pequeno
  expect_true(ang_ac$inferior < 90 + 15 && ang_ac$superior > 90 - 15)  # independientes: ~90
})

test_that("summary, print y graficos del bootstrap", {
  expect_output(print(bt), "bootstrap")
  expect_output(summary(bt, type = "calidad"), "calidad")
  pdf(NULL); on.exit(dev.off())
  expect_invisible(plot(bt))
  expect_invisible(plot(bt, type = "angulo_variables"))
  skip_if_not_installed("ggplot2")
  expect_s3_class(ggplot2::autoplot(bt), "ggplot")
  expect_s3_class(ggplot2::autoplot(bt, type = "calidad"), "ggplot")
})

test_that("errores del bootstrap", {
  expect_error(bigarx_boot(USArrests, B = 10), "al menos 50")
})