Roughness is an important parameter in mechanical systems.  Among other things, it is used in determining friction between mating surfaces. It generally costs more money to make a surface smoother. 

Mechanical and manufacturing engineers use three principle measures of the roughness of the surface of an object.  

All are based on measurements at evenly spaced intervals along the surface as diagrammed here and labeled a, b, c….

Values above the centerline are positive; values below are negative. 

The three roughness indicators are:

1. Arithemetic mean value:
   R_a =  (|a| + |b| + |c| + ....) / n
                 
2. Root-mean-square average:
   Rq =  sqrt[( a² + b² + c² + ...)/n]
             
3. Maximum roughness height:
   h_max  =  distance from the bottom of deepest trough to top of highest peak
                              

Instructions:

Write a modularized C++ program that does the following:

• Reads data from the input file called surface.txt. 
  This file looks like the one shown below. It contains the roughness data for a particular sample.
• Calculates the three roughness parameters.
• Generates a report.
  This report should be in a file that looks like the output shown below.

• You will need to use a single dimensional array in order to completely modularize your program.
• Your main program should just invoke three functions, not including any functions to open or close files.
  One for input, one for processing and one for output.

To turn in:            

Print out your source code and program output making sure that the formatting is up to C++ standards and professional in appearance.  If this does not fit on one page, delete enough so that it does. (Please do not make font size less than 10 points.) What to delete? What to keep? Make sure that you at least have the header as shown in Lab#1 (your student number, your name, the class identifier, the lab number) and the output from your program. As space permits, include any other essentials as you deem appropriate. Make sure that everything is clearly labeled and easy to read and follow. Have this one page ready to turn in by the due date. 

...

surface.txt  

Roughness Data File

Data values are  in micrometers

-4.1                 

-2.2                 

-0.5

1.2

3.3

4.6

5.1

2.1

0.2

-3.6

-4.1

0.2

0.5

2.2

4.1

-0.2

-1.2

-3.3

-4.6

-5.0

-2.2

-1.1

0.8

3.2

-0.1

-4.8

Output Report Requirements:

Surface Roughness Data (micrometers)

                -4.1        

                -2.2

                 0.5

                  .

                  .

                  .

Roughness Parameters

                 Arithmetic Mean          =    x.x  mm

                 Root-Mean-Square     =    x.x  mm

                 Maximum Roughness   =    x.x  mm

Example program using functions to modularize:

//  This program show the use of arrays to process data. 

#include <iostream>

using namespace std;

const int SIZE = 20;

void requestNumberToProcess(int& numberToProcess);

void readData(double data[], int numberToProcess);

void calculateAverage(double data[], int numberToProcess, double& average);

void findMaximum(double data[], int numberToProcess, double& maximum);

void printReport(double data[], int numberToProcess, double average, double maximum);

int main ()

{

      double   average,

               maximum,    

               data[SIZE];

      int    numberToProcess;

      requestNumberToProcess(numberToProcess);

      readData (data, numberToProcess);

      calculateAverage(data, numberToProcess, average);

      findMaximum(data, numberToProcess, maximum);

      printReport (data, numberToProcess, average,maximum);

      return 0;

}

void requestNumberToProcess(int& numberToProcess)

{

      cout<<"How many numbers do you want to average ";

      cin >>numberToProcess;

      while(numberToProcess <= 0 || numberToProcess>SIZE)

      {     cout<<"\n\nYou must enter a number >= 1 and <= "<<SIZE;

            cout<<"\nHow many numbers do you want to average ";

            cin >>numberToProcess;

      }

}

void readData(double data[],int numberToProcess)

{

      cout<<"Type in "<<numberToProcess<<" data values\n";

      for(int i=0; i<numberToProcess; i++)

            cin>>data[i];

}

void calculateAverage(double data[],int numberToProcess,double& average)

{

      double sum = 0.0;

      for(int i=0;i<numberToProcess;i++)

            sum += data[i];

      average = sum/numberToProcess;

}

void findMaximum(double data[],int numberToProcess,double& maximum)

{

      maximum = data[0];

      for(int i=1;i<numberToProcess;i++)

            if(data[i] > maximum)

                  maximum = data[i];

}

void printReport(double data[],int numberToProcess,

                         double average,double maximum)

{

      cout.setf(ios::showpoint | ios::fixed);

      cout.precision(2);

      cout<<"\n\nReport Results\nData Values\n";

      for(int i=0;i<numberToProcess;i++)

            cout<<data[i]<<"\n";

      cout<<"\n\nAverage = "<<average;

      cout<<"\n\nMaximum = "<<maximum<<"\n\n";

}