findDistanceBetweenTwoPoints3D()

Step 1: Understanding the Problem

To calculate the distance between two points in a 3D space, we need their coordinates in the form (x, y, z). The formula to calculate this distance is derived from Pythagoras' theorem and it's given by d = sqrt[(x2-x1)² + (y2-y1)² + (z2-z1)²].

public class Point {
  private double x;
  private double y;
  private double z;

  // constructor, getters and setters...
}

Step 2: Building the Distance Function

Next, we will write a function calculateDistance that will receive two points and will return their distance. Inside this function, we will apply the formula we discussed before.

public double calculateDistance(Point p1, Point p2) {
  return Math.sqrt(Math.pow(p2.getX() - p1.getX(), 2) + Math.pow(p2.getY() - p1.getY(), 2) + Math.pow(p2.getZ() - p1.getZ(), 2));
}

Step 3: Testing

To make sure our function is working as expected, we'll test it with sample points.

public static void main(String[] args) {
  Point p1 = new Point(1, 2, 3);
  Point p2 = new Point(4, 5, 6);

  System.out.println('Distance: ' + calculateDistance(p1, p2));
}

Step 4: Optimization

There isn't really much you can optimize in this function, as it is a direct implementation of the mathematical formula.

Step 5: Conclusion

In conclusion, by understanding Pythagoras' theorem and applying it to a 3D space, we can easily calculate the distance between two points in 3D. Below is the entire code snippet:

public class Point {
  private double x;
  private double y;
  private double z;

  // constructor, getters and setters...

  public double calculateDistance(Point p1, Point p2) {
    return Math.sqrt(Math.pow(p2.getX() - p1.getX(), 2) + Math.pow(p2.getY() - p1.getY(), 2) + Math.pow(p2.getZ() - p1.getZ(), 2));
  }

  public static void main(String[] args) {
    Point p1 = new Point(1, 2, 3);
    Point p2 = new Point(4, 5, 6);

    System.out.println('Distance: ' + calculateDistance(p1, p2));
  }
}