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package com.xenoamess.commons.primitive.comparators;

import com.xenoamess.commons.primitive.Primitive;

import java.util.*;


/**
 * A comparison function, which imposes a total ordering on some
 * collection of objects.  Comparators can be passed to a sort method (such
 * as {@link java.util.Collections#sort(List, Comparator) Collections.sort} or {@link
 * Arrays#sort(Object[], Comparator) Arrays.sort}) to allow precise control
 * over the sort order.  Comparators can also be used to control the order of
 * certain data structures (such as {@link SortedSet sorted sets} or {@link
 * SortedMap sorted maps}), or to provide an ordering for collections of
 * objects that don't have a {@link Comparable natural ordering}.
 * 

* The ordering imposed by a comparator {@code c} on a set of elements * {@code S} is said to be consistent with equals if and only if * {@code c.compare(e1, e2)==0} has the same boolean value as * {@code e1.equals(e2)} for every {@code e1} and {@code e2} in * {@code S}. *

* Caution should be exercised when using a comparator capable of imposing an * ordering inconsistent with equals to order a sorted set (or sorted map). * Suppose a sorted set (or sorted map) with an explicit comparator {@code c} * is used with elements (or keys) drawn from a set {@code S}. If the * ordering imposed by {@code c} on {@code S} is inconsistent with equals, * the sorted set (or sorted map) will behave "strangely." In particular the * sorted set (or sorted map) will violate the general contract for set (or * map), which is defined in terms of {@code equals}. *

* For example, suppose one adds two elements {@code a} and {@code b} such that * {@code (a.equals(b) && c.compare(a, b) != 0)} * to an empty {@code TreeSet} with comparator {@code c}. * The second {@code add} operation will return * true (and the size of the tree set will increase) because {@code a} and * {@code b} are not equivalent from the tree set's perspective, even though * this is contrary to the specification of the * {@link java.util.Set#add Set.add} method. *

* Note: It is generally a good idea for comparators to also implement * {@code java.io.Serializable}, as they may be used as ordering methods in * serializable data structures (like {@link java.util.TreeSet}, {@link java.util.TreeMap}). In * order for the data structure to serialize successfully, the comparator (if * provided) must implement {@code Serializable}. *

* For the mathematically inclined, the relation that defines the * imposed ordering that a given comparator {@code c} imposes on a * given set of objects {@code S} is:

 *       {(x, y) such that c.compare(x, y) <= 0}.
 * 
The quotient for this total order is:
 *       {(x, y) such that c.compare(x, y) == 0}.
 * 
*

* It follows immediately from the contract for {@code compare} that the * quotient is an equivalence relation on {@code S}, and that the * imposed ordering is a total order on {@code S}. When we say that * the ordering imposed by {@code c} on {@code S} is consistent with * equals, we mean that the quotient for the ordering is the equivalence * relation defined by the objects' {@link java.lang.Object#equals(Object) * equals(Object)} method(s):

 *     {(x, y) such that x.equals(y)}. 
* *

Unlike {@code Comparable}, a comparator may optionally permit * comparison of null arguments, while maintaining the requirements for * an equivalence relation. * *

This interface is a member of the * * Java Collections Framework. * * @author Josh Bloch * @author Neal Gafter * @author XenoAmess * @version 0.6.0 * @see Comparable * @see java.io.Serializable * @see java.util.Comparator * @since 1.2 */ @FunctionalInterface public interface IntComparator extends Comparator, Primitive { /** * {@inheritDoc} *

* Compares its two arguments for order. Returns a negative integer, * zero, or a positive integer as the first argument is less than, equal * to, or greater than the second. *

* The implementor must ensure that {@code sgn(compare(x, y)) == * -sgn(compare(y, x))} for all {@code x} and {@code y}. (This * implies that {@code compare(x, y)} must throw an exception if and only * if {@code compare(y, x)} throws an exception.) *

* The implementor must also ensure that the relation is transitive: * {@code ((compare(x, y)>0) && (compare(y, z)>0))} implies * {@code compare(x, z)>0}. *

* Finally, the implementor must ensure that {@code compare(x, y)==0} * implies that {@code sgn(compare(x, z))==sgn(compare(y, z))} for all * {@code z}. *

* It is generally the case, but not strictly required that * {@code (compare(x, y)==0) == (x.equals(y))}. Generally speaking, * any comparator that violates this condition should clearly indicate * this fact. The recommended language is "Note: this comparator * imposes orderings that are inconsistent with equals."

*

* In the foregoing description, the notation * {@code sgn(}expression{@code )} designates the mathematical * signum function, which is defined to return one of {@code -1}, * {@code 0}, or {@code 1} according to whether the value of * expression is negative, zero, or positive, respectively. */ @Override default int compare(Integer o1, Integer o2) { return comparePrimitive(o1, o2); } /** * Primitive replacement of {@code IntComparator.compare(Integer o1, Integer o2)} * * @param p1 the first int to be compared. * @param p2 the second int to be compared. * @return a negative integer, zero, or a positive integer as the * first argument is less than, equal to, or greater than the * second. * @see IntComparator#compare(Integer o1, Integer o2) */ int compare(int p1, int p2); /** * Primitive replacement of {@code IntComparator.compare(Integer o1, Integer o2)} * * @param p1 the first int to be compared. * @param p2 the second int to be compared. * @return a negative integer, zero, or a positive integer as the * first argument is less than, equal to, or greater than the * second. * @see IntComparator#compare(Integer o1, Integer o2) */ default int comparePrimitive(int p1, int p2) { return compare(p1, p2); } }





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