/* Copyright 2002-2004 by Aidant Systems, Inc., and by Jason Smith. */
using System;
using System.Collections;
using System.Collections.Generic;
namespace Iesi.Collections.Generic{
/// <summary><p>A collection that contains no duplicate elements. This class models the mathematical
/// <c>Set</c> abstraction, and is the base class for all other <c>Set</c> implementations.
/// The order of elements in a set is dependant on (a)the data-structure implementation, and
/// (b)the implementation of the various <c>Set</c> methods, and thus is not guaranteed.</p>
///
/// <p>None of the <c>Set</c> implementations in this library are guranteed to be thread-safe
/// in any way unless wrapped in a <c>SynchronizedSet</c>.</p>
///
/// <p>The following table summarizes the binary operators that are supported by the <c>Set</c> class.</p>
/// <list type="table">
/// <listheader>
/// <term>Operation</term>
/// <term>Description</term>
/// <term>Method</term>
/// <term>Operator</term>
/// </listheader>
/// <item>
/// <term>Union (OR)</term>
/// <term>Element included in result if it exists in either <c>A</c> OR <c>B</c>.</term>
/// <term><c>Union()</c></term>
/// <term><c>|</c></term>
/// </item>
/// <item>
/// <term>Intersection (AND)</term>
/// <term>Element included in result if it exists in both <c>A</c> AND <c>B</c>.</term>
/// <term><c>InterSect()</c></term>
/// <term><c>&</c></term>
/// </item>
/// <item>
/// <term>Exclusive Or (XOR)</term>
/// <term>Element included in result if it exists in one, but not both, of <c>A</c> and <c>B</c>.</term>
/// <term><c>ExclusiveOr()</c></term>
/// <term><c>^</c></term>
/// </item>
/// <item>
/// <term>Minus (n/a)</term>
/// <term>Take all the elements in <c>A</c>. Now, if any of them exist in <c>B</c>, remove
/// them. Note that unlike the other operators, <c>A - B</c> is not the same as <c>B - A</c>.</term>
/// <term><c>Minus()</c></term>
/// <term><c>-</c></term>
/// </item>
/// </list>
/// </summary>
[Serializable]
public abstract class Set<T> : ISet<T>, ICollection<T>, IEnumerable<T>,
ISet, ICollection, IEnumerable, ICloneable
{
/// <summary>
/// Performs a "union" of the two sets, where all the elements
/// in both sets are present. That is, the element is included if it is in either <c>a</c> or <c>b</c>.
/// Neither this set nor the input set are modified during the operation. The return value
/// is a <c>Clone()</c> of this set with the extra elements added in.
/// </summary>
/// <param name="a">A collection of elements.</param>
/// <returns>A new <c>Set</c> containing the union of this <c>Set</c> with the specified collection.
/// Neither of the input objects is modified by the union.</returns>
public virtual ISet<T> Union(ISet<T> a)
{
ISet<T> resultSet = (ISet<T>) this.Clone();
if (a != null)
{
resultSet.AddAll(a);
}
return resultSet;
}
/// <summary>
/// Performs a "union" of two sets, where all the elements
/// in both are present. That is, the element is included if it is in either <c>a</c> or <c>b</c>.
/// The return value is a <c>Clone()</c> of one of the sets (<c>a</c> if it is not <see langword="null" />) with elements of the other set
/// added in. Neither of the input sets is modified by the operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>A set containing the union of the input sets. <see langword="null" /> if both sets are <see langword="null" />.</returns>
public static ISet<T> Union(ISet<T> a, ISet<T> b)
{
if (a == null && b == null)
return null;
else if (a == null)
return (ISet<T>) b.Clone();
else if (b == null)
return (ISet<T>) a.Clone();
else
return a.Union(b);
}
/// <summary>
/// Performs a "union" of two sets, where all the elements
/// in both are present. That is, the element is included if it is in either <c>a</c> or <c>b</c>.
/// The return value is a <c>Clone()</c> of one of the sets (<c>a</c> if it is not <see langword="null" />) with elements of the other set
/// added in. Neither of the input sets is modified by the operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>A set containing the union of the input sets. <see langword="null" /> if both sets are <see langword="null" />.</returns>
public static Set<T> operator |(Set<T> a, Set<T> b)
{
return (Set<T>) Union(a, b);
}
/// <summary>
/// Performs an "intersection" of the two sets, where only the elements
/// that are present in both sets remain. That is, the element is included if it exists in
/// both sets. The <c>Intersect()</c> operation does not modify the input sets. It returns
/// a <c>Clone()</c> of this set with the appropriate elements removed.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <returns>The intersection of this set with <c>a</c>.</returns>
public virtual ISet<T> Intersect(ISet<T> a)
{
ISet<T> resultSet = (ISet<T>) this.Clone();
if (a != null)
resultSet.RetainAll(a);
else
resultSet.Clear();
return resultSet;
}
/// <summary>
/// Performs an "intersection" of the two sets, where only the elements
/// that are present in both sets remain. That is, the element is included only if it exists in
/// both <c>a</c> and <c>b</c>. Neither input object is modified by the operation.
/// The result object is a <c>Clone()</c> of one of the input objects (<c>a</c> if it is not <see langword="null" />) containing the
/// elements from the intersect operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>The intersection of the two input sets. <see langword="null" /> if both sets are <see langword="null" />.</returns>
public static ISet<T> Intersect(ISet<T> a, ISet<T> b)
{
if (a == null && b == null)
return null;
else if (a == null)
{
return b.Intersect(a);
}
else
return a.Intersect(b);
}
/// <summary>
/// Performs an "intersection" of the two sets, where only the elements
/// that are present in both sets remain. That is, the element is included only if it exists in
/// both <c>a</c> and <c>b</c>. Neither input object is modified by the operation.
/// The result object is a <c>Clone()</c> of one of the input objects (<c>a</c> if it is not <see langword="null" />) containing the
/// elements from the intersect operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>The intersection of the two input sets. <see langword="null" /> if both sets are <see langword="null" />.</returns>
public static Set<T> operator &(Set<T> a, Set<T> b)
{
return (Set<T>) Intersect(a, b);
}
/// <summary>
/// Performs a "minus" of set <c>b</c> from set <c>a</c>. This returns a set of all
/// the elements in set <c>a</c>, removing the elements that are also in set <c>b</c>.
/// The original sets are not modified during this operation. The result set is a <c>Clone()</c>
/// of this <c>Set</c> containing the elements from the operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <returns>A set containing the elements from this set with the elements in <c>a</c> removed.</returns>
public virtual ISet<T> Minus(ISet<T> a)
{
ISet<T> resultSet = (ISet<T>) this.Clone();
if (a != null)
resultSet.RemoveAll(a);
return resultSet;
}
/// <summary>
/// Performs a "minus" of set <c>b</c> from set <c>a</c>. This returns a set of all
/// the elements in set <c>a</c>, removing the elements that are also in set <c>b</c>.
/// The original sets are not modified during this operation. The result set is a <c>Clone()</c>
/// of set <c>a</c> containing the elements from the operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>A set containing <c>A - B</c> elements. <see langword="null" /> if <c>a</c> is <see langword="null" />.</returns>
public static ISet<T> Minus(ISet<T> a, ISet<T> b)
{
if (a == null)
return null;
else
return a.Minus(b);
}
/// <summary>
/// Performs a "minus" of set <c>b</c> from set <c>a</c>. This returns a set of all
/// the elements in set <c>a</c>, removing the elements that are also in set <c>b</c>.
/// The original sets are not modified during this operation. The result set is a <c>Clone()</c>
/// of set <c>a</c> containing the elements from the operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>A set containing <c>A - B</c> elements. <see langword="null" /> if <c>a</c> is <see langword="null" />.</returns>
public static Set<T> operator -(Set<T> a, Set<T> b)
{
return (Set<T>) Minus(a, b);
}
/// <summary>
/// Performs an "exclusive-or" of the two sets, keeping only the elements that
/// are in one of the sets, but not in both. The original sets are not modified
/// during this operation. The result set is a <c>Clone()</c> of this set containing
/// the elements from the exclusive-or operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <returns>A set containing the result of <c>a ^ b</c>.</returns>
public virtual ISet<T> ExclusiveOr(ISet<T> a)
{
ISet<T> resultSet = (ISet<T>) this.Clone();
foreach (T element in a)
{
if (resultSet.Contains(element))
resultSet.Remove(element);
else
resultSet.Add(element);
}
return resultSet;
}
/// <summary>
/// Performs an "exclusive-or" of the two sets, keeping only the elements that
/// are in one of the sets, but not in both. The original sets are not modified
/// during this operation. The result set is a <c>Clone()</c> of one of the sets
/// (<c>a</c> if it is not <see langword="null" />) containing
/// the elements from the exclusive-or operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>A set containing the result of <c>a ^ b</c>. <see langword="null" /> if both sets are <see langword="null" />.</returns>
public static ISet<T> ExclusiveOr(ISet<T> a, ISet<T> b)
{
if (a == null && b == null)
return null;
else if (a == null)
return (ISet<T>) b.Clone();
else if (b == null)
return (ISet<T>) a.Clone();
else
return a.ExclusiveOr(b);
}
/// <summary>
/// Performs an "exclusive-or" of the two sets, keeping only the elements that
/// are in one of the sets, but not in both. The original sets are not modified
/// during this operation. The result set is a <c>Clone()</c> of one of the sets
/// (<c>a</c> if it is not <see langword="null" />) containing
/// the elements from the exclusive-or operation.
/// </summary>
/// <param name="a">A set of elements.</param>
/// <param name="b">A set of elements.</param>
/// <returns>A set containing the result of <c>a ^ b</c>. <see langword="null" /> if both sets are <see langword="null" />.</returns>
public static Set<T> operator ^(Set<T> a, Set<T> b)
{
return (Set<T>) ExclusiveOr(a, b);
}
/// <summary>
/// Adds the specified element to this set if it is not already present.
/// </summary>
/// <param name="o">The object to add to the set.</param>
/// <returns><see langword="true" /> is the object was added, <see langword="false" /> if it was already present.</returns>
public abstract bool Add(T o);
/// <summary>
/// Adds all the elements in the specified collection to the set if they are not already present.
/// </summary>
/// <param name="c">A collection of objects to add to the set.</param>
/// <returns><see langword="true" /> is the set changed as a result of this operation, <see langword="false" /> if not.</returns>
public abstract bool AddAll(ICollection<T> c);
/// <summary>
/// Removes all objects from the set.
/// </summary>
public abstract void Clear();
/// <summary>
/// Returns <see langword="true" /> if this set contains the specified element.
/// </summary>
/// <param name="o">The element to look for.</param>
/// <returns><see langword="true" /> if this set contains the specified element, <see langword="false" /> otherwise.</returns>
public abstract bool Contains(T o);
/// <summary>
/// Returns <see langword="true" /> if the set contains all the elements in the specified collection.
/// </summary>
/// <param name="c">A collection of objects.</param>
/// <returns><see langword="true" /> if the set contains all the elements in the specified collection, <see langword="false" /> otherwise.</returns>
public abstract bool ContainsAll(ICollection<T> c);
/// <summary>
/// Returns <see langword="true" /> if this set contains no elements.
/// </summary>
public abstract bool IsEmpty { get; }
/// <summary>
/// Removes the specified element from the set.
/// </summary>
/// <param name="o">The element to be removed.</param>
/// <returns><see langword="true" /> if the set contained the specified element, <see langword="false" /> otherwise.</returns>
public abstract bool Remove(T o);
/// <summary>
/// Remove all the specified elements from this set, if they exist in this set.
/// </summary>
/// <param name="c">A collection of elements to remove.</param>
/// <returns><see langword="true" /> if the set was modified as a result of this operation.</returns>
public abstract bool RemoveAll(ICollection<T> c);
/// <summary>
/// Retains only the elements in this set that are contained in the specified collection.
/// </summary>
/// <param name="c">Collection that defines the set of elements to be retained.</param>
/// <returns><see langword="true" /> if this set changed as a result of this operation.</returns>
public abstract bool RetainAll(ICollection<T> c);
/// <summary>
/// Returns a clone of the <c>Set</c> instance. This will work for derived <c>Set</c>
/// classes if the derived class implements a constructor that takes no arguments.
/// </summary>
/// <returns>A clone of this object.</returns>
public virtual object Clone()
{
Set<T> newSet = (Set<T>) Activator.CreateInstance(this.GetType());
newSet.AddAll(this);
return newSet;
}
/// <summary>
/// Copies the elements in the <c>Set</c> to an array. The type of array needs
/// to be compatible with the objects in the <c>Set</c>, obviously.
/// </summary>
/// <param name="array">An array that will be the target of the copy operation.</param>
/// <param name="index">The zero-based index where copying will start.</param>
public abstract void CopyTo(T[] array, int index);
/// <summary>
/// The number of elements currently contained in this collection.
/// </summary>
public abstract int Count { get; }
/// <summary>
/// Returns <see langword="true" /> if the <c>Set</c> is synchronized across threads. Note that
/// enumeration is inherently not thread-safe. Use the <c>SyncRoot</c> to lock the
/// object during enumeration.
/// </summary>
public abstract bool IsSynchronized { get; }
/// <summary>
/// An object that can be used to synchronize this collection to make it thread-safe.
/// When implementing this, if your object uses a base object, like an <c>IDictionary</c>,
/// or anything that has a <c>SyncRoot</c>, return that object instead of "<c>this</c>".
/// </summary>
public abstract object SyncRoot { get; }
/// <summary>
/// Gets an enumerator for the elements in the <c>Set</c>.
/// </summary>
/// <returns>An <c>IEnumerator</c> over the elements in the <c>Set</c>.</returns>
public abstract IEnumerator<T> GetEnumerator();
/// <summary>
/// Indicates whether the given instance is read-only or not
/// </summary>
/// <value>
/// <see langword="true" /> if the ISet is read-only; otherwise, <see langword="false" />.
/// In the default implementation of Set, this property always returns false.
/// </value>
public virtual bool IsReadOnly
{
get { return false; }
}
IEnumerator IEnumerable.GetEnumerator()
{
return GetEnumerator();
}
void ICollection<T>.Add(T item)
{
this.Add(item);
}
#region Protected helpers
/// <summary>
/// Performs CopyTo when called trhough non-generic ISet (ICollection) interface
/// </summary>
/// <param name="array"></param>
/// <param name="index"></param>
protected abstract void NonGenericCopyTo(Array array, int index);
/// <summary>
/// Performs Union when called trhough non-generic ISet interface
/// </summary>
/// <param name="a"></param>
/// <returns></returns>
protected virtual ISet NonGenericUnion(ISet a)
{
ISet resultSet = (ISet) this.Clone();
if (a != null)
resultSet.AddAll(a);
return resultSet;
}
/// <summary>
/// Performs Minus when called trhough non-generic ISet interface
/// </summary>
/// <param name="a"></param>
/// <returns></returns>
protected virtual ISet NonGenericMinus(ISet a)
{
ISet resultSet = (ISet) this.Clone();
if (a != null)
resultSet.RemoveAll(a);
return resultSet;
}
/// <summary>
/// Performs Intersect when called trhough non-generic ISet interface
/// </summary>
/// <param name="a"></param>
/// <returns></returns>
protected virtual ISet NonGenericIntersect(ISet a)
{
ISet resultSet = (ISet) this.Clone();
if (a != null)
resultSet.RetainAll(a);
else
resultSet.Clear();
return resultSet;
}
/// <summary>
/// Performs ExclusiveOr when called trhough non-generic ISet interface
/// </summary>
/// <param name="a"></param>
/// <returns></returns>
protected virtual ISet NonGenericExclusiveOr(ISet a)
{
ISet resultSet = (ISet) this.Clone();
foreach (object element in a)
{
if (resultSet.Contains(element))
resultSet.Remove(element);
else
resultSet.Add(element);
}
return resultSet;
}
#endregion Protected helpers
#region ISet implementation
void ICollection.CopyTo(Array array, int index)
{
this.NonGenericCopyTo(array, index);
}
ISet ISet.Union(ISet a)
{
return this.NonGenericUnion(a);
}
ISet ISet.Intersect(ISet a)
{
return NonGenericIntersect(a);
}
ISet ISet.Minus(ISet a)
{
return NonGenericMinus(a);
}
ISet ISet.ExclusiveOr(ISet a)
{
return NonGenericExclusiveOr(a);
}
bool ISet.Contains(object o)
{
if (o is T)
return this.Contains((T) o);
else
return false;
}
bool ISet.ContainsAll(ICollection c)
{
ICollection<T> col = new List<T>(c.Count);
foreach (object o in c)
{
if (o is T)
col.Add((T) o);
else
return false;
}
return this.ContainsAll(col);
}
bool ISet.Add(object o)
{
return this.Add((T) o);
}
bool ISet.AddAll(ICollection c)
{
bool changed = false;
foreach (T obj in c)
changed |= this.Add(obj);
return changed;
}
bool ISet.Remove(object o)
{
if (o is T)
return this.Remove((T) o);
else
return false;
}
bool ISet.RemoveAll(ICollection c)
{
ICollection<T> col = new List<T>(c.Count);
foreach (object o in c)
{
if (o is T)
col.Add((T) o);
}
return this.RemoveAll(col);
}
bool ISet.RetainAll(ICollection c)
{
ICollection<T> col = new List<T>(c.Count);
foreach (object o in c)
{
if (o is T)
col.Add((T) o);
}
return this.RetainAll(col);
}
#endregion ISet implementation
}
}
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