package test3;

import java.util.HashMap;
import java.util.Map;

/**
 * A class that represents an interval of values on the integer number line. An
 * interval has two properties: a <code>minimum</code> value and a
 * <code>maximum</code> value. Interval instances always ensure that the
 * following class invariant is true:
 * 
 * <p>
 * <code>minimum <= maximum</code>
 * 
 * <p>
 * Clients request <code>Interval</code> instances using the static method
 * <code>Interval.getInstance</code>. The class ensures that only one
 * <code>Interval</code> instance exists for each unique minimum-maximum pair.
 * Repeated calls to <code>Interval.getInstance</code> using the same minimum
 * and maximum values always return a reference to the same object; that is to
 * say:
 * 
 * <p>
 * <code>Interval.getInstance(1, 10) == Interval.getInstance(1, 10)</code> is
 * always <code>true</code>.
 * 
 * @author EECS1030Z_2014_15W
 * 
 */
public class Interval {

  // YOU NEED TO ADD A FIELD TO COMPLETE THE MULTITON IMPLEMENTATION

  private int min;
  private int max;

  /**
   * Create an interval with the specified minimum and maximum values.
   * 
   * @param min
   *          the minimum value of the interval
   * @param max
   *          the maximum value of the interval
   * @throws IllegalArgumentException
   *           if <code>min > max</code>
   */
  private Interval(int min, int max) {
    
  }

  /**
   * Get the interval having the desired minimum and maximum values.
   * 
   * @param min
   *          the minimum value of the interval
   * @param max
   *          the maximum value of the interval
   * @return the interval (min, max)
   * @throws IllegalArgumentException
   *           if <code>min > max</code>
   */
  public static Interval getInstance(int min, int max) {
    
  }

  /**
   * Returns the minimum value of the interval
   * 
   * @return the minimum value of the interval
   */
  public int getMinimum() {
    
  }

  /**
   * Returns the maximum value of the interval
   * 
   * @return the maximum value of the interval
   */
  public int getMaximum() {
    
  }

  /**
   * Checks if <code>value</code> is inside this interval. A value is considered
   * inside this interval if both
   * 
   * <p>
   * <code>value >= minimum</code> and <code>value <= maximum</code>
   * 
   * <p>
   * are true.
   * 
   * @param value
   *          the value to check
   * @return <code>true</code> if <code>value</code> is inside this interval,
   *         <code>false</code> otherwise
   */
  public boolean contains(int value) {
    
  }

  /**
   * Return the width of this interval. The width of an interval is defined as
   * the maximum value of the interval minus the minimum value of the interval.
   * 
   * @return the width of this interval
   */
  public long width() {
    
  }

  /**
   * Return a new interval that contains the two given intervals. The width of
   * the new interval will be as small as possible. For example, if the two
   * intervals to be contained are: <code>[-1, 1]</code> and
   * <code>[10, 12]</code> then the new interval returned by this method is
   * <code>[-1, 12]</code>.
   * 
   * 
   * @param a
   *          an interval to be contained by the new interval
   * @param b
   *          the other interval to be contained by the new interval
   * @return a new interval that contains both intervals <code>a</code> and
   *         <code>b</code>
   */
  public static Interval containingInterval(Interval a, Interval b) {
    
  }

  /**
   * Returns the string representation of this interval. The string contains the
   * minimum and maximum values separated by a comma and space all inside of a
   * pair of square brackets. For example, the string
   * 
   * <p>
   * <code>[-5, 8]</code>
   * 
   * <p>
   * represents the interval whose minimum value is <code>-5</code> and whose
   * maximum value is <code>8</code>
   * 
   * @return a string representation of the interval
   * @see java.lang.Object#toString()
   */
  @Override
  public String toString() {
    return "(" + this.getMinimum() + ", " + this.getMaximum() + ")";
  }
}