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FUNCTIONS
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It is also more efficient to check for even numbers (n = = 2 > first. This way, once we get to the for loop, we need only check for odd divisors. This is done by incrementing the divider d by 2 on each iteration. Here is a test driver and a test run for the isPrime
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int main0 for (int n = 1; n < 50; n++) if (isPrime( tout << n << tout << endl; isPrime(int);
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Notice that, like the c-type functions in the previous example, a verb phrase is used for the name of this function. The name i s Prime" makes the function s use more readable for humans. For example, the code
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if (isPrime( . . .
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is almost the same as the ordinary English phrase if n is prime. It should be clear that this function is not optimal. In searching for divisors, we need only check prime numbers, because every composite (non-prime) number is a unique product of primes. But how can we use only prime values for d The answer is to store the primes as we find them. But that requires using an array, so we ll have to wait until 5 to do that.
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EXAMPLE 4.13 A Leap Year Function
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A leap year is a year in which one extra day (February 29) is added to the regular calendar. Most of us know that the leap years are the years that are divisible by 4. For example, 1992 and 1996 are leap years. Most people, however, do not know that there is an exception to this rule: centennial years are not leap years. For example, 1800 and 1900 were not leap years. Furthermore, there is an exception to the exception: centennial years which are divisible by 400 are leap years. Thus, the year 2000 will be a leap year. Here is a boolean function that implements this definition:
// Returns 1 if y is a leap year, 0 otherwise: int isLeapYear(int y) return > y % 4 = = 0 &SC y % 100 != 0 II y % 400 == 0;
The compound condition y % 4 == 0 && y % 100 ! = 0 I I y % 400 == 0 will be trueprecisely when y is divisible by 4 but not by 100 unless it is also divisible by 400. In these cases the function returns 1; in all other cases it returns 0.
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FUNCTIONS
Here is a test driver and test run for the function:
int isLeapYear(int); // Test driver for the isLeapYear main0 -t int n; function:
tin >> n; if (isLeapYear(n)) tout << n << H is a leap year.\n"; else tout << n << ' is not a leap year.\n"; } while (n > 1);
4.9 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 can encapsulate the details needed to ensure correct data entry without distracting the main program. We have already seen examples of output functions. The only purpose the printDate function in Example 4.10 was to print the date represented by its input parameters. Instead of sending information back to the calling function, it sends its information to the standard output (i.e., the computer screen). An input function like the one described above is analogous. Instead of receiving its information through its parameters, it reads it from standard input (Le., the keyboard).
Example 4.14 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 not only terminates the loop but also terminates the function.
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