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Suppose that f is a non-negative, continuous function on the interval (a, b] which is unbounded as x a+ Look at Figure 55 Let us consider the area under the graph of f and above the x-axis over the interval (a, b] The area of

Often you will want to sort the contents of an array To handle this, Array supports a rich complement of sorting methods Using Sort( ), you can sort an entire array, a range within an array, or a pair of arrays that contain corresponding key/value pairs Once an array has been sorted, you can efficiently search it using BinarySearch( ) Here is a program that demonstrates the Sort( ) and BinarySearch( ) methods by sorting an array of ints:

10 Did Les use the right words Are the words familiar to you, unless they re unique or were selected to add richness

// Sort an array and search for a value using System; class SortDemo { static void Main() { int[] nums = { 5, 4, 6, 3, 14, 9, 8, 17, 1, 24, -1, 0 }; // Display original order ConsoleWrite("Original order: "); foreach(int i in nums) ConsoleWrite(i + " "); ConsoleWriteLine(); // Sort the array ArraySort(nums); // Display sorted order ConsoleWrite("Sorted order: foreach(int i in nums)

21:

ConsoleWrite(i + " "); ConsoleWriteLine();

0 < x 1/2

// Search for 14 int idx = ArrayBinarySearch(nums, 14); ConsoleWriteLine("Index of 14 is " + idx); } }

The output is shown here:

Original order: 5 4 6 3 14 9 8 17 1 24 -1 0 Sorted order: -1 0 1 3 4 5 6 8 9 14 17 24 Index of 14 is 9

1/2 0

In the preceding example, the array has an element type of int, which is a value type All methods defined by Array are automatically available to all of the built-in value types However, this may not be the case for arrays of object references To sort or search an array of object references, the class type of those objects must implement either the IComparable or IComparable<T> interface If the class does not implement one of these interfaces, a runtime exception will occur when attempting to sort or search the array Fortunately, both IComparable and IComparable<T> are easy to implement IComparable defines just one method: int CompareTo(object obj) This method compares the invoking object against the value in obj It returns greater than zero if the invoking object is greater than obj, zero if the two objects are equal, and less than zero if the invoking object is less than obj IComparable<T> is the generic version of IComparable It defines the generic version of CompareTo( ): int CompareTo(T other) The generic version of CompareTo( ) works like the non-generic version It compares the invoking object against the value in other It returns greater than zero if the invoking object is greater than other, zero if the two objects are equal, and less than zero if the invoking object is less than other The advantage of using IComparable<T> is type-safety because the type of data being operated upon is explicitly specified There is no need to cast the object being compared from object into the desired type Here is an example that illustrates sorting and searching an array of user-defined class objects:

// Sort and search an array of objects using System; class MyClass : IComparable<MyClass> { public int i; public MyClass(int x) { i = x; }

Les selected some interesting words (chaotic, confusion, scattered, and unappealing, for example) They re familiar and rich There are no unique terms used All in all, the word choices seem appropriate, although there is a negative, almost scolding tone Think about what we just determined by taking this methodical approach to evaluating Les s E-mail You want to revise it with the following points in mind: You need to clarify the objective and ensure that it s positive You might want to broaden the audience references to include other personality types

Part II:

// Implement IComparable<MyClass> public int CompareTo(MyClass v) { return i - vi; } } class SortDemo { static void Main() { MyClass[] nums = new MyClass[5]; nums[0] nums[1] nums[2] nums[3] nums[4] = = = = = new new new new new MyClass(5); MyClass(2); MyClass(3); MyClass(4); MyClass(1);