These statements turn the bit off, regardless of its prior state. First, the operator ~bit produces an integer with all its bits set to 1 except the bit that originally was set to 1; that bit becomes 0. ANDing a 0 with any bit results in 0, thus turning that bit off. All other bits in lottabits are unchanged. That’s because ANDing a 1 with any bit produces the value that bit had before.

Here’s a briefer way of doing the same thing:

lottabits &= ~bit;

Testing a Bit Value

Suppose you want to determine whether the bit corresponding to bit is set to 1 in lottabits. The following test does not necessarily work:

if (lottabits == bit)             // no good

That’s because even if the corresponding bit in lottabits is set to 1, other bits might also be set to 1. The equality above is true only when the corresponding bit is 1. The fix is to first AND lottabits with bit. This produces a value that is 0 in all the other bit positions because 0 AND any value is 0. Only the bit corresponding to the bit value is left unchanged because 1 AND any value is that value. Thus the proper test is this:

if (lottabits & bit == bit)       // testing a bit

Real-world programmers often simplify this test to the following:

if (lottabits & bit)       // testing a bit

Because bit consists of one bit set to 1 and the rest set to 0, the value of lottabits & bit is either 0 (which tests as false) or bit, which, being nonzero, tests as true.

Member Dereferencing Operators

C++ lets you define pointers to members of a class. These pointers involve special notations to declare them and to dereference them. To see what’s involved, let’s start with a sample class:

class Example

{

private:

    int feet;

    int inches;

public:

    Example();

    Example(int ft);

    ~Example();

    void show_in() const;

    void show_ft() const;

    void use_ptr() const;

};

Consider the inches member. Without a specific object, inches is a label. That is, the class defines inches as a member identifier, but you need an object before you actually have memory allocated:

Example ob;  // now ob.inches exists

Thus, you specify an actual memory location by using the identifier inches in conjunction with a specific object. (In a member function, you can omit the name of the object, but then the object is understood to be the one pointed to by the pointer.)

C++ lets you define a member pointer to the identifier inches like this:

int Example::*pt = &Example::inches;

This pointer is a bit different from a regular pointer. A regular pointer points to a specific memory location. But the pt pointer doesn’t point to a specific memory location because the declaration doesn’t identify a specific object. Instead, the pointer pt identifies the location of inches member within any Example object. Like the identifier inches, pt is designed to be used in conjunction with an object identifier. In essence, the expression *pt assumes the role of the identifier inches. Therefore, you can use an object identifier to specify which object to access and the pt pointer to specify the inches member of that object. For example, a class method could use this code:

int Example::*pt = &Example::inches;

Example ob1;

Example ob2;

Example *pq = new Example;

cout << ob1.*pt << endl; // display inches member of ob1

cout << ob2.*pt << endl; // display inches member of ob2

cout << po->*pt << endl; // display inches member of *po

Here .* and ->* are member dereferencing operators. When you have a particular object, such as ob1, then ob1.*pi identifies the inches member of the ob1 object. Similarly, pq->*pt identifies the inches member of an object pointed to by pq.

Changing the object in the preceding example changes which inches member is used. But you can also change the pt pointer itself. Because feet is of the same type as inches, you can reset pt to point to the feet member instead of the inches member; then ob1.*pt will refer to the feet member of ob1:

pt = &Example::feet;      // reset pt

cout << ob1.*pt << endl;  // display feet member of ob1

In essence, the combination *pt takes the place of a member name and can be used to identify different member names (of the same type).

You can also use member pointers to identify member functions. The syntax for this is relatively involved. Recall that declaring a pointer to an ordinary type void function with no arguments looks like this:

void (*pf)();  // pf points to a function

Declaring a pointer to a member function has to indicate that the function belongs to a particular class. Here, for instance, is how to declare a pointer to an Example class method:

void (Example::*pf)() const;  // pf points to an Example member function

This indicates that pf can be used the same places that Example method can be used. Note that the term Example: :*pf has to be in parentheses. You can assign the address of a particular member function to this pointer:

pf = &Example::show_inches;

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