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It is therefore recommended that the functions within a program communicate information through the use of their parameter lists and return values The likelihood of error in passing arguments to a function increases with the size of the parameter list As a general rule, eight parameters should be the maximum As an alternative to a large parameter list, the programmer might declare a parameter to be a class, an array, or one of the container types; such a parameter can be used to contain a group of parameter values Similarly, a function can return only one value If the program's logic requires that multiple values be returned, the programmer might declare some of the function parameters to be references, in which case the function can directly modify the corresponding arguments and thus set the arguments to contain some additional "return" values, or the programmer might declare the function with a return type that is a class or one of the container types to contain a group of return values

vector<string> &readText( ) { vector<string> text; string word; while ( cin >> word ) { textpush_back( word ); // }

(a) 33

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// return text; }

How would you return more than one value from a function Describe the advantages and disadvantages of your approach

A function that calls itself, either directly or indirectly, is referred to as a recursive function The following function rgcd() is a recursive function:

that the advantages of this approach will be ampli ed by larger, more complex scenarios where greedy solutions are likely to be far off from optimality. Furthermore, the objective function can be manipulated to incorporate QoS, fairness, or other desired considerations. As a motivating example, consider the network shown in Figure 7.3. There are three connections between nodes 4 and 15, 19 and 30, and 33 and 36. Consider the routing con guration in Figure 7.3a. The dotted lines denote the interference range of the active nodes. An ideal unit disk interference range is used for illustrative purpose. Let us assume that all the links used by the connection are of the same quality and connections get started in the sequence 4 15, 19 30, and 33 36. The connection 19 30 is able to choose an interference separated path from the connection 4 15. However, when the connection 33 36 starts, the nodes 28, 29, 35, and 36 experience interference from the other connection. The routing con guration shown in Figure 7.3b shows the optimal routes that do not interfere with each other. In the suboptimal route con guration (Figure 7.3a), there is no incentive for the connection

int rgcd( int v1, int v2 ) { if ( v2 != 0 ) return rgcd( v2, v1%v2 ); return v1; }

A recursive function must always define a stopping condition; otherwise, the function will recurse "forever" This is sometimes called an infinite recursion error In the case of rgcd(), the stopping condition is a remainder of 0 The call

A basic square-rooter deduced from Algorithm 16.7 is shown in Figure 16.10. If e1 is even, the square-rooter input is s0 (s1 :B p ):B p 4 s1 :B2:( p 2) , and if e1 is odd s0 (s1 :B p ):B p 3 (s1 =B):B2:( p 2) : (16:32) (16:31)

rgcd( 15, 123 );

Table Trace of rgcd(15,123) value1 15 123 15 3 value2 123 15 3 0 Return rgcd( 123, 15 ) rgcd( 15, 3 ) rgcd( 3, 0 ) 3

The last call,

28 29 to change the route, since any route will be interfered with by either connection 4 15 or 33 36. The connection 4 15 will also not change route because none of the nodes in the connection face interference from the neighboring connection. Hence, in the suboptimal scenario, ideally both the connections 19 30 and 33 36 will have half the throughput of the ones in the optimal scenario. This example illustrates that a greedy local view of the network scenario does not always lead to a globally optimal routing con guration.

rgcd(3,0);

satisfies the stopping condition It returns the greatest common denominator, 3 This value successively becomes the return value of each prior call The value is said to percolate upward until the execution returns to the function that called rgcd() in the first place

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