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wherever it is needed, instead of storing and updating the value. The function would be declared as int length () ; whereas the variable would be declared as int length; The only difference is that the function declaration includes the parentheses ( ). In reality, the two alternatives are quite different, but syntactically they are nearly the same when they are used. In cases like this one can regard a function as a kind of ''active variable''; i.e., a variable that can do things. Separate Compilation Function definitions are often compiled independently in separate files. For example, all the functions declared in the Standard C Library are compiled separately. One reason for separate compilation is "information hiding" that is, information that is necessary for the complete compilation of the program but not essential to the programmer's understanding of the program is hidden. Experience shows that information hiding facilitates the understanding and thus success of large software projects. Example 4.7 The max() Function Compiled Separately // file test_max.cc max(int, int); // driver for max: void main() { int m, n; do { cin >>m >>n; cout <<max(m,n) <<endl; } while (m != 0); }
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// file max.cc // max=larger of two ints int max(int x, int y) { return x<y y : x; }
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max() (max.cc) and its test driver (max_driver.cc) are in separate files and could be compiled separately. The actual commands that you would use to compile these files will depend upon your local system. Another advantage of compiling functions separately is that they can be tested separately before the program(s) that call them are written. Once you know that the max function works properly, you can forget about how it works and save it to be used whenever it is needed.
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Yet another advantage of separate compilation is the ease with which one module can be replaced by another equivalent module. If you happen to discover a better way to implement max(), you can compile and test that function, and then link that module with whatever programs were using the previous version of the max() function. Local Variables and Functions A local variable is one declared inside a block. It is accessible only from within that block. Since the body of a function itself is a block, variables declared within a function are local to that function; they exist only while the function is executing. A function's formal parameters (arguments) are also regarded as being local to the function. int factorial(int n) { if (n < 0) return 0; int f = 1; while (n > 1) f *= n-; return f; }
Example 4.8 The factorial() Function The factorial of a positive integer n (n!) is obtained by multiplying n by all the positive integers less than n: n! = (n) (n - 1) . . . (3)(2)(1). This function has two local variables: n and f. The parameter n is local because it is declared in the function's parameter list. The variable f is local because it is declared within the function body.
Note! The use of local variables within functions is another example of information hiding. The user of a function need not know what variables are used within the function.
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void Functions
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A function need not return a value. In other programming languages, such a function is called a procedure or subroutine. In C++, such a function is identified by placing the keyword void as the function's return type. A void function is one that returns no value. Since a void function does not return a value, it need not include a return statement. If it does have a return statement, then it appears simply as return; with no expression following the keyword return. In this case, the return statement is simply terminates the function. A function with no return value is an action. Accordingly, it is usually best to use a verb phrase for its name. Boolean Functions Sometimes it is helpful to use a function to evaluate a condition, typically within an if or while statement. Such functions are called Boolean functions, after the British logician George Boole (1815-1864). Example 4.9 A Function to Test Primality This Boolean function tests whether a given integer is a prime number. // returns 1 if p is prime, 0 otherwise int isPrime (int p) { float sqrtp = sqrt(p); if (p<2) return 0; // 2 is the first prime if (p==2) return 1; if (p%2 == O) return 0; // 2 is the only even prime for (int d=3; d<=sqrtp; d+=2) if (p%d == O) return 0; return 1; } It works by looking for a divisor d of the given n. It tests divisibility with the condition (n%d==0). This is true when d is a divisor of n. In that case, n is not a prime number and the function returns 0. If the for loop finishes without finding any divisor it returns 1. Once we get past the square root of n we stop because if n is a product d*a. one of the factors must be less than or equal to the square root of n. We define that to be a constant so that it is only evaluated once; if
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