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we had used d<=sqrt(n) to control the for loop, it would be reevaluated at the end of each iteration. It is also more efficient to check for even numbers (n==2) first. This way, the for loop need only check odd divisors by incrementing the divider d by 2 each iteration. We have used name "isPrime" as its name to make its use more readable. if (isPrime (n)) . . . is almost the same as "if n is prime." I/O Functions Functions are particularly useful for encapsulating tasks that require messy details that are not very germane to the primary task of the program. For example, in processing personnel records, you might have a program that requires interactive input of a user's age. By relegating this task to a separate function, you encapsulate the details needed to ensure correct data entry without distracting the main program. Ex. 4.10 illustrates an input function. The while (1) control of the loop in this example makes it look like an infinite loop: the condition (1) is always "true." But the loop is actually controlled by the return statement which terminates both the loop and the function. Example 4.10 A Function for Reading the User's Age This function that prompts the user for his/her age and then returns it. It is "robust" in the sense that it rejects unreasonable input. It repeatedly requests input until it receives an integer in the range 1 to 120: int age ( ) { int n; while(1) { cout <<"How old are you "; cin >> n; if (n<0) cout <<"\a\tAge can't be negative."; else if (n>120) cout <<"\a\tNot over 120."; else return n; cout << "\n\tTry again. \n"; } } When acceptable input is received from cin, the function terminates with a return statement, sending the input back to the calling function. For unacceptable input (n<0 or n>120), the system beep ('\a') is sounded, and a comment is printed and the user is asked to "Try again."
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This is an example of a function whose return statement is not at the end of the function. Passing by Reference So far, the parameters we have seen in functions have been passed by value. The expression used in the function call is evaluated first and the resulting value is assigned to the corresponding parameter in the parameter list before function execution. For example, in cube (x), if x is 4, then the value 4 is passed to the local variable n before the function executes. Since the value 4 is used locally inside the function, x is unaffected by the function. Thus, x is a read-only parameter. The pass-by-value mechanism allows expressions to be passed to the function. For example, cube() could be called as cube(2*x-3) or even as cube(2*sqrt(x)-cube(3)). In each case, the expression is evaluated to a single value that is passed to the function. Read-only, pass-by-value communication is usually what we want. It makes the function self-contained, protecting against accidental side effects. There are situations where a function must change the value of the parameter passed to it. This is done by passing it by reference. To pass a parameter by reference, simply append an ampersand & to the type specifier in the parameter list. This makes the local variable a reference to the actual parameter passed to it. Therefore, the actual parameter is readwrite, not read-only. Any change to the local variable inside the function will cause the same change to the actual parameter.
Parameters passed by value are called value parameters, and those passed by reference are called reference parameters.
Example 4.11 The swap() Function Swaps x and y so that each ends up with the other's value: void swap(float& x, float& y) { float temp = x; x = y;
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