Use a widened interval width, so the arithmetic also handles endpoints near the limits of Int:
final class Uniform(l: Int, u: Int) extends FiniteDist[Int] {
  require(l <= u)
  private val width = u.toLong - l.toLong + 1L

  def getDom: List[Int] = {
    val builder = List.newBuilder[Int]
    var value = l.toLong
    while (value <= u.toLong) {
      builder += value.toInt
      value += 1L
    }
    builder.result()
  }

  def getProb(x: Int): Double =
    if (l <= x && x <= u) 1.0 / width.toDouble else 0.0
}
The support lists every integer in the inclusive interval once. Its cardinality is width, so assigning each atom mass gives total mass one. The loop counter is also widened, preventing an increment past Int.MaxValue from wrapping to a negative value. Returning the full support takes time and space proportional to its width and can be impractical for a very large interval; the mass query itself is constant-time. The full integer interval has width , which fits Long but not positive Int.

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