I need some help understanding what a partial order interface with one method greaterThan(). I am working on an exercise to compare the volume of three boxes and this statement is the next step. Thank you,

Well, here's a link to the Wikipedia article about it: Partially ordered set. I must say, I don't really see how to implement a partial ordering over a domain in Java; perhaps you throw a runtime exception if you try to compare a pair of incomparable elements?

But anyway if you're just going to compare the volume of boxes, then that's really a Total order. In that case it's much easier to implement a greaterThan method.

Craig Warnick
Greenhorn

Joined: Feb 24, 2012
Posts: 8

posted

0

class BoxVolSort implements Comparator<Box> {
public int compare(Box b1, Box b2, Box b3) {
if(b1.getVolume() == b2.getVolume()==b3.get volume)
return 0;
else if (b1.getVolume() < b2.getVolume() > b3.getVolume)
return -1;
else
return 1;

This is what I came up with off the top of my head, but the statement that caused my helmet fire is:

box b > box c returns 1 whenever box c fits inside box box b. Note that c fits inside b if there is a way to arrange the dimensions of each box so
the corresponding dimensions of b are each larger than c.

No clue how to do that. Thanks for your earlier reply Saloon Keeper.

Craig Warnick
Greenhorn

Joined: Feb 24, 2012
Posts: 8

posted

0

Its just a programming exercise I was given from a coworker. to help me learn Java. I am not in the programming business but trying to learn. Thanks

Craig Warnick wrote:box b > box c returns 1 whenever box c fits inside box box b. Note that c fits inside b if there is a way to arrange the dimensions of each box so
the corresponding dimensions of b are each larger than c.

No clue how to do that. Thanks for your earlier reply Saloon Keeper.

Well, first off, java.util.Comparator works on two objects, not three, so I'd start off by amending your class accordingly.

Second, as you said yourself:

Note that c fits inside b if there is a way to arrange the dimensions of each box so the corresponding dimensions of b are each larger than c.

So, in terms of a "fits inside" order, I would say that if Box a fits inside Box b, then
compare(a, b) should return a negative number, and
compare(b, a) should return a positive one; otherwise, your comparator should return 0 because the two objects have no 'order' with respect to each other in terms of "fitting in".

Then it's just a matter of calling the method for combinations of pairs for larger numbers of boxes.

[Edit] Note that while the above would work for providing a rudimentary "fits in" ordering, I suspect there's quite a bit more logic required to actually create a POS for these boxes. In terms of structure, I think I might look at an array of linked lists, but I suspect you're also going to need to come up with a heuristic to ensure that as many boxes are "fitted" as possible.

HIH

Winston

Isn't it funny how there's always time and money enough to do it WRONG?
Artlicles by Winston can be found here

Craig Warnick wrote:I need some help understanding what a partial order interface with one method greaterThan(). I am working on an exercise to compare the volume of three boxes and this statement is the next step. Thank you,

It sounds like the exercise is to define an interface with one method, greaterThan(). You can do that in just 3 lines of code or so.