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Most useful programs are much larger than the programs that we have considered so far. To make large programs manageable, programmers modularize them into subprograms. These subprograms are called functions. They can be compiled and tested separately and reused in different programs. This modularization is characteristic of successful object-oriented software. 4.1 STANDARD C LIBRARY FUNCTIONS The Standard C Library is a collection of pre-defined functions and other program elements which are accessed through header files. We have used some of these already: the INTJAX constant defined in -C 1 imi t s . h> (Example 1.19, the rand ( > function defined in <S tdl ib . h> (Example 3.21), and the time ( > function defined in <time. h> (Example 3.22). The common mathematical functions are defined in the <math. h> header file. Our first example illustrates the use of one of these mathematical functions.

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Space needs are different according to the platform: allow at least 100 MB Provide read write access to the directory The installation directory will be referred as <INSTDIR> For example:.

EXAMPLE 4.1 The Square Root Function sqrt ( )

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The square root of a given positive number is the number whose square is the given number. The square root of 9 is 3 because the square of 3 is 9. We can think of the square root function as a black box. When you put in a 9, out comes a 3. When the number 2 is input, the number 1.41421 is output. This function has the same input-process-output nature that complete programs have. However, the processing step is hidden: we do not need to know what the function does to 2 to produce 1.41421. All we need to know is that the output 1.41421 does have the square root property: its square is the input 2. Here is a simple program that uses the predefined square root function: #include <iostream.h> #include <math.h> // Test-driver for the sqrt function: main0 { for (int i = 0; i < 6; i++) tout C-C "\t" -CC i C-C "\t" C-C sqrt(i) << endl; >

This program prints the square roots of the numbers 0 through 5. Each time the expression sqr t ( i > is evaluated in the for loop, the sqr t function is executed. Its actual code is hidden away within the Standard C Library. In using it, we may confidently assume that the expression sqrt ( i ) will be replaced by the actual square root of whatever value i has at that moment. Notice the directive # inc lude <math . h> on the second line. This is necessary for the compiler to find the definition of the sqr t function. It tells the compiler that the function is declared in the <math. h> header file.

Mount the SAP kernel CD. The way to do this depends on your UNIX variant. Actual instructions are provided in the OS Dependencies guide. You will need a mount point directory, usually /sapcd, for that. The mount point directory for the CD will be referred to as <CD MOUNT>. Run the shell script:

A function like sqr t ( ) is executed by using its name as a variable in a statement, like this:

y = sqrt(x);

For example:

This is called invoking or calling the function. Thus in Example 4.1, the code sqrt ( i ) caZZs the sqrt function. The expression i in the parentheses is called the argument or actual parameter of the function call, and we say that it is passed by vaZue to the function. So when i is 3, the value 3 is passed to the sqr t function by the call sqr t ( i ) . This process is illustrated by the following diagram:

1.73205 /

sqrt()

The shell script will automatically copy the installation components from the CD to the installation directory on the local disk. 74

The variable i is declared in main ( ) . During the fourth iteration of the for loop, its value is 3. That value is passed to the sqrt ( ) function which then returns the value 1.73205.

Here is another program that uses the <math . h> header file. Its purpose is to allow an empirical verification of the standard trigonometric identity sir-h = 2 sinxcosx :

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