defmodule BSON.Decimal128 do use Bitwise @signed_bit_mask 1 <<< 63 @combination_mask 0x1f @combintation_infinity 30 @combintation_nan 31 @exponent_mask 0x3fff @exponent_bias 6176 def decode(<<_::little-64, high::little-64>> = bits) do is_negative = (high &&& @signed_bit_mask) == (@signed_bit_mask) combination = (high >>> 58 &&& @combination_mask) two_highest_bits_set = combination >>> 3 == 3 is_infinity = two_highest_bits_set && combination == @combintation_infinity is_nan = two_highest_bits_set && combination == @combintation_nan exponent = exponent(high, two_highest_bits_set) value( %{is_negative: is_negative, is_infinity: is_infinity, is_nan: is_nan, two_highest_bits_set: two_highest_bits_set}, coef(bits), exponent ) end defp exponent(high, _two_highest_bits_set = true) do biased_exponent = (high >>> 47) &&& @exponent_mask biased_exponent - @exponent_bias end defp exponent(high, _two_highest_bits_not_set) do biased_exponent = (high >>> 49) &&& @exponent_mask biased_exponent - @exponent_bias end defp value(%{is_negative: true, is_infinity: true}, _, _) do %Decimal{sign: -1, coef: :inf} end defp value(%{is_negative: false, is_infinity: true}, _, _) do %Decimal{coef: :inf} end defp value(%{is_nan: true}, _, _) do %Decimal{coef: :qNaN} end defp value(%{two_highest_bits_set: true}, _, _) do %Decimal{sign: 0, coef: 0, exp: 0} end defp value(%{is_negative: true}, coef, exponent) do %Decimal{sign: -1, coef: coef, exp: exponent} end defp value(_, coef, exponent) do %Decimal{coef: coef, exp: exponent} end defp coef(<>) do bor((high &&& 0x1ffffffffffff) <<< 64, low) end end