A data file contains a series of integer values (positive, negative, and zero). The maximum number of values in the file that are greater than or equal to 0 will be 30. Please note, there may be more than 30 numbers in the file. Each value will be separated by at least one blank space and the last value in the file will be followed by a linefeed. Design a C++ program (using functions to modularize the code) that will

interactively prompt the user for the name of the input file and read it

open the file for reading, using a C++ filestream

read the integer values from the file

count and sum the negative values, compute the average if possible

store the other values (>=0) in an array, counting them as they are read

interactively prompt the user for the name of the output file and read it

open the file for writing using a C++ filestream

write the following to the output file you created - leave at least one blank line between each set of outputs and clearly label all output

your name, lecture section #, assignment #

if there were no negative values in the file, display an appropriate message

if there were negative values in the file display

the sum and count of the negative values

the average of the negative values (set precision to 5 decimal places)

if there were no values >= 0 in the file, display an appropriate message

if there are values >= 0 stored in the array

use bubblesort to arrange the values in the array into ascending order

list the values sorted values one per line, right justified, values may have up to 7 digits

display the number of values stored in the array, the average of the values, the variance and the standard deviation of the values (set precision to 5 decimal places)

list all the values in the array that are prime (one per line, right justified) or an appropriate message if there are none

list each nonprime numbers greater than 0 found in the array along with how many factors each has (arrange in 2 columns - right justified) or an appropriate message if there are none

Definitions and Formulas

A prime number is a positive, nonzero integer that has exactly 2 different factors.

if n=# values stored in the array and data_i represents the ith value in the array,

average = (data₁ + data₂ + ... + data_n) / n

variance = [(data₁-average)² + (data₂-average)² + ... + (data_n-average)²] / (n-1)

standard_deviation = sqrt(variance)

Assumptions

The input file will not be empty. Each line in the file will be terminated by a linefeed (' ').

All values in the file will be integers and they will be separated by whitespace.

Maximum number of values in the file greater than or equal to 0 will be 30.

Maximum number of columns needed to display an integer will be 7.

All values in the file could be negative.

All values in the file could be greater than or equal to 0.

If the file contains values greater than or equal to 0, there will be at least 2 of them (so that variance can be computed).

Requirements

The program MUST make use of functions (at least 4 meaningful functions in addition to main).

The program MUST PASS PARAMETERS to communicate values. No global variables are allowed.

No goto statements may be used.

Program must make use of filestream variables to represent the input and output files. The input file may only be read one time.

The program must prompt for the name of the input file first. Then prompt for the name of the output file.

Failure to adhere to the 5 previous requirements will result in up to a 60% deduction of assignment's point value.

Data values read from the input file and factor counts must be displayed as integers. Averages, variance, and standard deviation must be displayed with 5 digits to the right of the decimal.

Program must include preprocessor directives for all header files used.

Program must use a static array (do not use a variable for the size of the array).

Write your own code - reread the CS 135 academic integrity policy (see syllabus) if necessary.

Test your program adequately! Documentation When the program compiles and runs correctly, add the following documentation (comments) to your source file (.cpp file).

At the start of the program file,

Place a comment with your name, lecture section#, and assignment # at the beginning of the file.

List the expected input to the program. Be specific. Describe the content of any input files.

List the expected output of the program. Be specific. (If the input values are supposed to be displayed, include them in the output list.)

When a named constant and/or major variable is declared, provide a meaningful description of what it represents in the program.

For each function, clearly state what will be passed into the function and what will be passed out or returned by the function. Document important local variables. (See function documentation handout.)

Sample terminal session: [lee@bobby keys]$ more data4four 17 35 -8 12 24 0 23 428 -34 144 -7 [lee@bobby keys]$ g++ assign04.cpp [lee@bobby keys]$ ./a.out Please enter the name of the input file: data4four Please enter the name of the output file: results4four [lee@bobby keys]$ more results4four Lee Misch Sec# 10__ Assignment #4 Negative Number Data ==================== Count: 3 Sum: -49 Average: -16.33333 Numbers >= 0 Data ================= Positive #'s in File 0 12 17 23 24 35 144 428 Average: 85.37500 Variance: 21195.98214 Standard deviation: 145.58840 Prime Numbers 17 23 Nonprime Numbers and Factor Counts 12 6 24 8 35 4 144 15 428 6 [lee@bobby keys]$ more data4four2 26 1 9 42 [lee@bobby keys]$ ./a.out Please enter the name of the input file: data4four2 Please enter the name of the output file: results2 [lee@bobby keys]$ more results2 Lee Misch Sec# 10__ Assignment #4 Negative Number Data ==================== No negative values found in the file. Numbers >= 0 Data ================= Positive #'s in File 1 9 26 42 Average: 19.50000 Variance: 333.66667 Standard deviation: 18.26655 Prime Numbers No prime numbers found. Nonprime Numbers and Factor Counts 1 1 9 3 26 4 42 8