There are a number of ways to normalize, or scale, a set of values. One common normalization technique scales the values so that the minimum value goes to 0, the maximum value goes to 1, and the other values are scaled accordingly. Using this normalization technique, the values of the array below are normalized.

Original Array Values

-1

-2

2

0

Normalized Array Values

0.25

0.0

1.0

0.5

The equation that computes the normalized value from a value x_k in the array is the following

Normalized x_k = (X_k-min_x)/(max_x-min_x)

Where min_x and max_x represent the minimum and maximum values in the array x. If you substitute the minimum value for x_k in the equation, the numerator is zero, thus, the normalized value for the minimum is zero. If you substitute the maximum value for x_k in this equation, the numerator and the denominator are the same value; hence the normalized value for the maximum is 1.0.

Write and test a main program that has a one-dimensional double array. The maximum number of values that this main array can store is 25. The main program should use several programmer-defined functions. Create programmer-defined functions called get_array, display_array, array_max, array_min, and norm. Prompt user to input original array values and print out normalized array values on console.

Programmer-defined function get_array will read elements of and the number of values in the array as its arguments. Normalize the values in the array using the technique describe above. Use the function array_max that was developed in Chapter 5 to find out the maximum values in array x. Create function array_min to find out the minimum values in array x. Assume that the function prototype if the following:

void norm(double x[], int npts) ;