return isPowerOfTwo(x) ? logFloor : logFloor + 1;

      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:
        if (logFloor < SQRT2_PRECOMPUTE_THRESHOLD) {
          BigInteger halfPower =
              SQRT2_PRECOMPUTED_BITS.shiftRight(SQRT2_PRECOMPUTE_THRESHOLD - logFloor);
          if (x.compareTo(halfPower) <= 0) {
            return logFloor;
          } else {
            return logFloor + 1;