code: public class SafeAddition {
      private static double stepDown(double d) {
          return Math.nextAfter(d, Double.NEGATIVE_INFINITY);
      }
  
      private static double stepUp(double d) {
          return Math.nextUp(d);
      }
  
      private static double[] safeAdd(double a, double b) {
          return new double[]{stepDown(a + b), stepUp(a + b)};
      }
  
      public static void main(String[] args) {
          double a = 1.2;
          double b = 0.03;
          double[] result = safeAdd(a, b);
          System.out.printf("(%.2f + %.2f) is in the range %.16f..%.16f", a, b, result[0], result[1]);
      }
  }
  