Apply the $3$ file format: $1$ header file and $2$ source files. Implement guard code in a header file

Write a program that processes numbers, corresponding to student records read in from a file, and writes the required results to an output file $($see main $()).$ Your program should define the following functions:

$(5$ pts$)$ double read$\_$double $($FILE $*$infile$)$ Reads one double precision number from the input file. Note: You may assume that the file only contains real numbers.

$(5$ pts$)$ int read$\_$integer $($FILE $*$infile$)-$ Reads one integer number from the input file.$(5$ pts$)$ double calculate$\_$sum $($double number$1,$ double number$2,$ double number$3,$ double number$4,$ double number$5)-$ Finds the sum of number$1,$ number$2,$ number$3,$ number$4,$ and number$5$ and returns the result.

$(5$ pts$)$ double calculate$\_$mean $($double sum, int number$)-$ Determines the mean through the calculation sum $/$ number and returns the result. You need to check to make sure that number is not $0.$ If it is $0$ the function returns $-1\mathrm{.}0($we will assume that we are calculating the mean of positive numbers$),$ otherwise it returns the mean.

$(5$ pts$)$ double calculate$\_$deviation $($double number, double mean$)-$ Determines the deviation of number from the mean and returns the result. The deviation may be calculated as number $-$ mean.

$(10$ pts$)$ double calculate$\_$variance $($double deviation$1,$ double deviation$2,$ double deviation$3,$ double deviation$4,$ double deviation$5,$ int number$)-$ Determines the variance through the calculation: $(($deviation$1)^2+($deviation$2)^2+($deviation$3)^2+($deviation$4)^2+($deviation$5)^2)/$ number and returns the result. Hint: you may call your calculate$\_$mean $()$ function to determine the result.

$(5$ pts$)$ double calculate$\_$standard$\_$deviation $($double variance$)-$ Calculates the standard deviation as sqrt $($variance$)$ and returns the result. Recall that you may use the sqrt $()$ function that is found in math.h$.$

$(10$ pts$)$ double find$\_$max $($double number$1,$ double number$2,$ double number$3,$ double number$4,$ double number$5)$ Determines the maximum number out of the five input parameters passed into the function, returning the max.

$(10$ pts$)$ double find$\_$min $($double number$1,$ double number$2,$ double number$3,$ double number$4,$ double number$5)$ Determines the minimum number out of the five input parameters passed into the function, returning the min.

$(5$ pts$)$ void print$\_$double $($FILE $*$outfile$,$ double number$)$ Prints a double precision number $($to the hundredths place$)$ to an output file.

$(20$ pts$)$ A main $()$ function that does the following $($this is what the program

does!!!$)$:

Opens an input file "input.dat" for reading; Opens an output file "output.dat" for writing;

Reads five records from the input file $($input$.$dat$)$; You will need to use a combination of read$\_$double $()$ and read$\_$integer $()$ function calls here!

Calculates the sum of the GPAs; Calculates the sum of the class standings; Calculates the sum of the ages;Calculates the mean of the GPAs, writing the result to the output file $($output$.$dat$)$; Calculates the mean of the class standings, writing the result to the output file $($output$.$dat$)$;

Calculates the mean of the ages, writing the result to the output file $($output$.$dat$)$;

Calculates the deviation of each GPA from the mean $($Hint: need to call calculate$\_$deviation $()5$ times$)$

Calculates the variance of the GPAs

Calculates the standard deviation of the GPAs, writing the result to the output file $($output$.$dat$)$;

Determines the min of the GPAs, writing the result to the output file $($output$.$dat$)$; Determines the max of the GPAs, writing the result to the output file $($output$.$dat$)$;

Closes the input and output files $($i$.$e$.$ input.dat and output.dat$)$

Expected Input File Format $($real numbers only$)$:

For this assignment you will be required to read five records from the "input.dat" file. Each record will have the following form:

Student ID# $($an $8$ digit integer number$)$

GPA $($a floating$-$point value to the hundredths place$)$

Class Standing $(1-4,$ where $1$ is a freshmen, $2$ is a sophomore, $3$ is a junior, and $4$

is a senior $-->$ all integers$)$ Age $($a floating$-$point value$)$

Example data for $1$ student record in the file could be as follows: $12345678$

$3\mathrm{.}78320\mathrm{.}5$

IV$.$ Expected Results:

The following sample session demonstrates how your program should work.

Assuming input.dat stores the following records:

$123456783\mathrm{.}78$

$3$

$20\mathrm{.}5$

$876543212\mathrm{.}65$

$2$

$19\mathrm{.}25$

$086512343\mathrm{.}10118\mathrm{.}0$

$111122223\mathrm{.}95$

$4$

$22\mathrm{.}5$

$222232342\mathrm{.}45$

$319\mathrm{.}3333$

Your program should write the following to output.dat: NOTE: you only need to output the numbers, the text is for demonstration purposes only.

$3\mathrm{.}19--$ GPA Mean

$2\mathrm{.}60--$ Class Standing Mean $19\mathrm{.}92--$ Age Mean

$0\mathrm{.}60--$ GPA Standard Deviation $2\mathrm{.}45--$ GPA Min

$3\mathrm{.}95--$ GPA Max