2.5. References
A reference serves as an alternative name for an object. In real-world programs, references are primarily used as formal parameters to functions. We'll have more to say about reference parameters in Section 7.2.2 (p. 232). In this section we introduce and illustrate the use of references as independent objects.A reference is a compound type that is defined by preceding a variable name by the & symbol. A compound type is a type that is defined in terms of another type. In the case of references, each reference type "refers to" some other type. We cannot define a reference to a reference type, but can make a reference to any other data type.A reference must be initialized using an object of the same type as the reference:
int ival = 1024;
int &refVal = ival; // ok: refVal refers to ival
int &refVal2; // error: a reference must be initialized
int &refVal3 = 10; // error: initializer must be an object
A Reference Is an Alias
Because a reference is just another name for the object to which it is bound, all operations on a reference are actually operations on the underlying object to which the reference is bound:
adds 2 to ival, the object referred to by refVal. Similarly,
refVal += 2;
assigns to ii the value currently associated with ival.
int ii = refVal;

the effect is to change the value of ival to 5. A consequence of this rule is that you must initialize a reference when you define it; initialization is the only way to say to which object a reference refers.
refVal = 5;
Defining Multiple References
We can define multiple references in a single type definition. Each identifier that is a reference must be preceded by the & symbol:
int i = 1024, i2 = 2048;
int &r = i, r2 = i2; // r is a reference, r2 is an int
int i3 = 1024, &ri = i3; // defines one object, and one reference
int &r3 = i3, &r4 = i2; // defines two references
const References
A const reference is a reference that may refer to a const object:
nonconst reference and so could be used to change the value of the object to which ref2 refers. Assigning to ival through ref2 would result in changing the value of a const object. To prevent such changes, it is illegal to bind a plain reference to a const object.
const int ival = 1024;
const int &refVal = ival; // ok: both reference and object are const
int &ref2 = ival; // error: non const reference to a const object
Terminology: const Reference is a Reference to const
C++ programmers tend to be cavalier in their use of the term const reference. Strictly speaking, what is meant by "const reference" is "reference to const." Similarly, programmers use the term "nonconst reference" when speaking of reference to a nonconst type. This usage is so common that we will follow it in this book as well.A const reference can be initialized to an object of a different type or to an rvalue (Section 2.3.1, p. 45), such as a literal constant:
The same initializations are not legal for nonconst references. Rather, they result in compile-time errors. The reason is subtle and warrants an explanation.This behavior is easiest to understand when we look at what happens when we bind a reference to an object of a different type. If we write
int i = 42;
// legal for const references only
const int &r = 42;
const int &r2 = r + i;
the compiler transforms this code into something like this:
double dval = 3.14;
const int &ri = dval;
If ri were not const, then we could assign a new value to ri. Doing so would not change dval but would instead change temp. To the programmer expecting that assignments to ri would change dval, it would appear that the change did not work. Allowing only const references to be bound to values requiring temporaries avoids the problem entirely because a const reference is read-only.
int temp = dval; // create temporary int from the double
const int &ri = temp; // bind ri to that temporary

Exercises Section 2.5
Exercise 2.24:Which of the following definitions, if any, are invalid? Why? How would you correct them?
Exercise 2.25:Given the preceeding definitions, which, if any, of the following assignments are invalid? If they are valid, explain what they do.
(a) int ival = 1.01; (b) int &rval1 = 1.01;
(c) int &rval2 = ival; (d) const int &rval3 = 1;
Exercise 2.26:What are the differences among the definitions in (a) and the assignments in (b)? Which, if any, are illegal?
(a) rval2 = 3.14159; (b) rval2 = rval3;
(c) ival = rval3; (d) rval3 = ival;
Exercise 2.27:What does the following code print?
(a) int ival = 0; (b) ival = ri;
const int &ri = 0; ri = ival;
int i, &ri = i;
i = 5; ri =10;
std::cout << i << " " << ri << std::endl;