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Suppose that f, g , and h are functions whose domains each contain S = (a, c) (c, b) Assume further that g (x) f (x) h(x) for all x S Refer to Figure 24 If

// Use internal using System; class InternalTest { internal int x; } class InternalDemo { static void Main() { InternalTest ob = new InternalTest(); obx = 10; // can access -- in same file ConsoleWriteLine("Here is obx: " + obx); } }

Inside InternalTest, the field x is declared internal This means that it is accessible within the program, as its use in InternalDemo shows, but unavailable outside the program

his chapter discusses three interrelated and powerful features: runtime type identification, reflection, and attributes Runtime type ID is the mechanism that lets you identify a type during the execution of a program Reflection is the feature that enables you to obtain information about a type Using this information, you can construct and use objects at runtime This feature is very powerful because it lets a program add functionality dynamically, during execution An attribute describes a characteristic of some element of a C# program For example, you can specify attributes for classes, methods, and fields, among others Attributes can be interrogated at runtime, and the attribute information obtained Attributes use both runtime type identification and reflection

lim g (x) =

Runtime type identification (RTTI) allows the type of an object to be determined during program execution RTTI is useful for many reasons For example, you can discover precisely what type of object is being referred to by a base-class reference Another use of RTTI is to test in advance whether a cast will succeed, preventing an invalid cast exception Runtime type identification is also a key component of reflection C# includes three keywords that support runtime type identification: is, as, and typeof Each is examined in turn

2 You ve been asked to inform senior managers about your department s progress in reaching a business objective What organizational structure would you select 3 You want to invite your team to your house for a social event What organizational structure would you use

You can determine if an object is of a certain type by using the is operator Its general form is shown here: expr is type Here, expr is an expression that describes an object whose type is being tested against type If the type of expr is the same as, or compatible with, type, then the outcome of this operation is true Otherwise, it is false Thus, if the outcome is true, expr is some form of type As it applies to is, one type is compatible with another if both are the same type, or if a reference, boxing, or unboxing conversion exists

Part I:

Here is an example that uses is:

lim h(x) =

// Demonstrate is using System; class A {} class B : A {} class UseIs { static void Main() { A a = new A(); B b = new B(); if(a is A) ConsoleWriteLine("a is an A"); if(b is A) ConsoleWriteLine("b is an A because it is derived from A"); if(a is B) ConsoleWriteLine("This won t display -- a not derived from B"); if(b is B) ConsoleWriteLine("b is a B"); if(a is object) ConsoleWriteLine("a is an object"); } }

The output is shown here:

Most of the is expressions are self-explanatory, but two may need a little discussion First, notice this statement:

lim f (x) =

if(b is A) ConsoleWriteLine("b is an A because it is derived from A");

The if succeeds because b is an object of type B, which is derived from type A Thus, b is an A However, the reverse is not true When this line is executed,

.

if(a is B) ConsoleWriteLine("This won t display -- a not derived from B");

Sometimes you will want to try a conversion at runtime, but not throw an exception if the conversion fails (which is the case when a cast is used) To do this, use the as operator, which has this general form: expr as type

We may apply Theorem 21(a) repeatedly to see that lim 4x 3 7x 2 + 5x 9 = lim 4x 3 lim 7x 2 + lim 5x lim 9

17: