deftrait Ordering as: ->
  # This trait defines ordering comparisons for types.

  def <Ordering::Result> compare_with other: Any

  def equals? other: Any, as: ->
    Huia::Primitive.match(self.compare_with(other), {
      Ordering::Equal: true,
      Any: false
    })
  end

  def greater_than? other: Any, as: ->
    Huia::Primitive.match(self.compare_with(other), {
      Ordering::Greater: true,
      Any: false
    })
  end

  def greater_than_or_equal_to? other: Any, as: ->
    Huia::Primitive.match(self.compare_with(other), {
      Ordering::Greater: true,
      Ordering::Equal: true,
      Any: false
    })
  end

  def less_than? other: Any, as: ->
    Huia::Primitive.match(self.compare_with(other), {
      Ordering::Less: true,
      Any: false
    })
  end

  def less_than_or_equal_to? other: Any, as: ->
    Huia::Primitive.match(self.compare_with(other), {
      Ordering::Less: true,
      Ordering::Equal: true,
      Any: false
    })
  end
end