ClosestPair (Algorithms 4/e)

Object
- edu.princeton.cs.algs4.ClosestPair

```
public class ClosestPair
extends Object
```
The ClosestPair data type computes a closest pair of points in a set of n points in the plane and provides accessor methods for getting the closest pair of points and the distance between them. The distance between two points is their Euclidean distance.
This implementation uses a divide-and-conquer algorithm. It runs in O(n log n) time in the worst case and uses O(n) extra space.
See also FarthestPair.
For additional documentation, see Section 9.9 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

Author:

Robert Sedgewick, Kevin Wayne

Constructor Summary

Constructors
Constructor and Description

ClosestPair(Point2D[] points)
Computes the closest pair of points in the specified array of points.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`double`	`distance()` Returns the Euclidean distance between the closest pair of points.
`Point2D`	`either()` Returns one of the points in the closest pair of points.
`static void`	`main(String[] args)` Unit tests the `ClosestPair` data type.
`Point2D`	`other()` Returns the other point in the closest pair of points.

Methods inherited from class Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - ClosestPair
```
public ClosestPair(Point2D[] points)
```
    Computes the closest pair of points in the specified array of points.
    
    Parameters:
    
    points - the array of points
    
    Throws:
    
    IllegalArgumentException - if points is null or if any entry in points[] is null
- Method Detail
  - either
```
public Point2D either()
```
    Returns one of the points in the closest pair of points.
    
    Returns:
    
    one of the two points in the closest pair of points; null if no such point (because there are fewer than 2 points)
  - other
```
public Point2D other()
```
    Returns the other point in the closest pair of points.
    
    Returns:
    
    the other point in the closest pair of points null if no such point (because there are fewer than 2 points)
  - distance
```
public double distance()
```
    Returns the Euclidean distance between the closest pair of points.
    
    Returns:
    
    the Euclidean distance between the closest pair of points Double.POSITIVE_INFINITY if no such pair of points exist (because there are fewer than 2 points)
  - main
```
public static void main(String[] args)
```
    Unit tests the ClosestPair data type. Reads in an integer n and n points (specified by their x- and y-coordinates) from standard input; computes a closest pair of points; and prints the pair to standard output.
    
    Parameters:
    
    args - the command-line arguments