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Property bool IsFixedSize { get; } bool IsReadOnly { get; } ICollection Keys { get; } ICollection Values { get; } Description Is true if the dictionary is of fixed size Is true if the dictionary is read-only Obtains a collection of the keys Obtains a collection of the values

Notice that the keys and values contained within the collection are available as separate lists through the Keys and Values properties IDictionary defines the following indexer: object this[object key] { get; set; } You can use this indexer to get or set the value of an element You can also use it to add a new element to the collection Notice that the index is not actually an index, but rather the key of the item

By inspection of the graph we see that f is one-to-one (ie, takes different domain values to different range values) and onto (ie, takes on all values in the range) from S = [ 2, 3] to T = [1, 5] Therefore f has an inverse The graph of f 1 is exhibited in Figure 150

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IEnumerable is the non-generic interface that a class must implement if it is to support enumerators As explained, all of the non-generic collection classes implement IEnumerable because it is inherited by ICollection The sole method defined by IEnumerable is GetEnumerator( ), which is shown here: IEnumerator GetEnumerator( ) It returns the enumerator for the collection Also, implementing IEnumerable allows the contents of a collection to be obtained by a foreach loop IEnumerator is the interface that defines the functionality of an enumerator Using its methods, you can cycle through the contents of a collection For collections that store key/value pairs (dictionaries), GetEnumerator( ) returns an object of type IDictionaryEnumerator, rather than IEnumerator IDictionaryEnumerator inherits IEnumerator and adds functionality to facilitate the enumeration of dictionaries

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IEnumerator defines the methods MoveNext( ) and Reset( ) and the Current property These methods and the techniques needed to use them are described in detail later in this chapter Briefly, Current obtains the element currently being obtained MoveNext( ) moves to the next element Reset( ) restarts the enumeration from the start

Another useful fact is this: Since an invertible function must be one-to-one, two different x values cannot correspond to (that is, be sent by the function to ) the same y value Looking at Figures 151 and 152, we see that this means:

The IComparer interface defines a method called Compare( ), which defines the way two objects are compared It is shown here: int Compare(object x, object y) It must return greater than zero if x is greater than y, less than zero if x is less than y, and zero if the two values are the same This interface can be used to specify how the elements of a collection should be sorted IEqualityComparer defines these two methods: bool Equals(object x, object y) int GetHashCode(object obj) Equals( ) must return true if x and y are equal GetHashCode( ) must return the hash code for obj

The IStructuralComparable and IStructuralEquatable interfaces were added by NET 40 The IStructuralComparable interface defines a method called CompareTo( ), which defines the way two objects are structurally compared for purposes of sorting (In other words, CompareTo( ) compares the contents of the object, not the references) It is shown here: int CompareTo(object other, IComparer comparer) It must return 1 if the invoking object precedes other, 1 if the invoking object follows other, and zero if the two values are the same for the purposes of sorting The object passed to comparer provides the comparison IStructuralEquatable is used to determine structural equality Thus, it compares the contents of two objects It defines the following methods bool Equals(object other, IEqualityComparer comparer) int GetHashCode(IEqualityComparer comparer) Equals( ) must return true if the invoking object and other are equal GetHashCode( ) must return the hash code for the invoking object The results of these two methods must be compatible The object passed to comparer provides the comparison

SystemCollections defines one structure type called DictionaryEntry Non-generic collections that hold key/value pairs store those pairs in a DictionaryEntry object This structure defines the following two properties: public object Key { get; set; } public object Value { get; set; }

Part II: