defmodule Ratio.FloatConversion do
  @doc """
  Converts a float to a rational number.
  Because base-2 floats cannot represent all base-10 fractions properly, the results might be different from what you might expect.
  See [The Perils of Floating Point](http://www.lahey.com/float.htm) for more information about this.

  ## Examples

      iex> Ratio.FloatConversion.float_to_rational(10.0)
      Ratio.new(10, 1)
      iex> Ratio.FloatConversion.float_to_rational(13.5)
      Ratio.new(27, 2)
      iex> Ratio.FloatConversion.float_to_rational(1.1)
      Ratio.new(2476979795053773, 2251799813685248)
  """

  def float_to_rational(float) do
    {numerator, denominator} = Float.ratio(float)
    Ratio.new(numerator, denominator)
  end
end