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You can tell that the second output 0x3 f f f d14 is an address by the OX prefix for hexadecimal format. This address is equal to the decimal number 67,10&l 16. (See Appendix G.) Displaying the address of a variable this way is not very useful. The address operator SC has other more important uses. We saw one use in 4: designating reference parameters in a function declaration. That use is closely tied to another: declaring reference variables.

4.1. In each part of Fig. 4-60, find x and y. (4.1)

A reference is an alias, a synonym for another variable. It is declared by using the reference operator SC appended to the reference s type.

Fig. 4-60

Here r is declared to be a reference for n:

In each part of Fig. 4-61, find x and y. (4.3)

// r is a reference for n U -CC n -KC 'I, r = ' << r << endl; H -K-C n << ', r = ' << r << endl; ", r = ' << r CC endl;

Fig. 4-61

The two identifiers n and r are different names for the same variable: they always have the same value. Decrementing n changes both n and r to 32. Doubling r increases both n and r to 64.

CHAP. 4]

This shows that r and n have the same memory address:

If two parallel lines are cut by a transversal, find (a) Two alternate interior angles represented by 3x and 5x 70 (b) Two corresponding angles represented by 2x 10 and 4x 50

main0 int n = 33; int& r = n; tout << "&n = ' -CC &n << ', &r = ' CC &r C-K endl; &n = 0x3fffdl.4, &r = 0x3EEfdl4 ,. . . _.

(4.3)

The following diagram illustrates how references work:

(c) Two interior angles on the same side of the transversal represented by 2x and 3x 4.4. Provide the proofs requested in Fig. 4-62 (4.4)

r33)

Fig. 4-62

The value 33 is stored only once. The identifiers n and r are both symbolic names for the same memorylocation 0~3fffd14. Like a cons t, a reference must be initialized when it is declared. That requirement should seem reasonable: a synonym must have a something for which it is an alias. In other words, every reference must have a referent. Reference parameters were defined for functions in 4. We see now that they work the same way as reference variables: they are merely synonyms for other variables. Indeed, a reference parameter for a function is really just a reference variable whose scope is limited to the function. We have seen that the ampersand character 6c has several uses in C++: when used as a prefix to a variable name, it returns the address of that variable; when used as a suffix to a type in a variable declaration, it declares the variable to be a synonym for the variable to which it is initialized; and when used as a suffix to a type in a function s parameter declaration, it declares the parameter to be a reference parameter for the variable that is passed to it. All of these uses are variations on the same theme: the ampersand refers to the address at which the value is stored. 6.3 POINTERS The reference operator SC returns the memory address of the variable to which it is applied. We used this in Example 6.1 to print the address. We can also store the address in another variable. The type of the variable that stores an address is called a pointer. If the variable has type int, then the pointer variable must have type pointer to in t , denoted by in t * :

Provide the proofs requested in Fig. 4-63

EXAMPLE 6.4 Pointer Values Are Addresses main0 int n = 33; int* p = &n; // p holds the address of n tout -KC "n = H -CC n << ", &n = ' << &n << ", p = " -C-C tout << "scp = ' -cc &p << endl;