16.5: Comparable and Comparator
- Page ID
- 12831
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)The repository for this book includes Card.java, which demonstrates two ways to sort a list of Card objects. Here’s the beginning of the class definition:
public class Card implements Comparable<Card> { private final int rank; private final int suit; public Card(int rank, int suit) { this.rank = rank; this.suit = suit; }
A Card object has two integer fields, rank and suit. Card implements Comparable<Card>, which means that it provides compareTo:
public int compareTo(Card that) { if (this.suit < that.suit) { return -1; } if (this.suit > that.suit) { return 1; } if (this.rank < that.rank) { return -1; } if (this.rank > that.rank) { return 1; } return 0; }
The specification of compareTo indicates that it should return a negative number if this
is considered less than that, a positive number if it is considered greater, and 0 if they are considered equal.
If you use the one-parameter version of Collections.sort, it uses the compareTo method provided by the elements to sort them. To demonstrate, we can make a list of 52 cards like this:
public static List<Card> makeDeck() { List<Card> cards = new ArrayList<Card>(); for (int suit = 0; suit <= 3; suit++) { for (int rank = 1; rank <= 13; rank++) { Card card = new Card(rank, suit); cards.add(card); } } return cards; }
And sort them like this:
Collections.sort(cards);
This version of sort puts the elements in what’s called their “natural order” because it’s determined by the objects themselves.
But it is possible to impose a different ordering by providing a Comparator object. For example, the natural order of Card objects treats Aces as the lowest rank, but in some card games they have the highest rank. We can define a Comparator that considers “Aces high”, like this:
Comparator<Card> comparator = new Comparator<Card>() { @Override public int compare(Card card1, Card card2) { if (card1.getSuit() < card2.getSuit()) { return -1; } if (card1.getSuit() > card2.getSuit()) { return 1; } int rank1 = getRankAceHigh(card1); int rank2 = getRankAceHigh(card2); if (rank1 < rank2) { return -1; } if (rank1 > rank2) { return 1; } return 0; } private int getRankAceHigh(Card card) { int rank = card.getRank(); if (rank == 1) { return 14; } else { return rank; } } };
This code defines an anonymous class that implements compare, as required. Then it creates an instance of the newly-defined, unnamed class. If you are not familiar with anonymous classes in Java, you can read about them at thinkdast.com/anonclass.
Using this Comparator, we can invoke sort like this:
Collections.sort(cards, comparator);
In this ordering, the Ace of Spades is considered the highest class in the deck; the two of Clubs is the lowest.
The code in this section is in Card.java if you want to experiment with it. As an exercise, you might want to write a comparator that sorts by rank first and then by suit, so all the Aces should be together, and all the twos, etc.