Question

Programming Concepts

• cin/cout

• variables/types

• Functions

• Reference

• structs

Task Summary:

For this first Quest you I have set up a program in Visual Studio that will use operation between fractions. I have written a basic code example that does all the resources that you need to follow. Your job is to complete the exercises presented below in quest2.cpp.

For this assignment you will learn and demonstrate how to:

1. Work with functions

2. use Past-by-Value and Past-by-Reference.

3. use structs.

4. use cin to get user input from the keyboard

5. use Header/Object Files.

Base Code Functionality

The instructor has provided all the necessary

• base main source code (quest2.cpp),

Required Code Functionality

This program will allow basic operations between fractions, for example, addition, subtraction, multiplication, division and other basic functions that can be performed in fractions.To achieve a seamless integration of the struct fraction into the C++ type system its operations need to be overloaded and you are required to provide such implementation.

Your task is to implement code that:  

1. Create a fraction [50 points] // (implemented)

2. Implement the Add two fractions [50 points] //(implemented)

3. Implement the Add fraction and integer [50 points] //(overload function)

4. Implement the negation operator for fractions. [50 points]

5. Implement support for division operations for the new fraction type [100 points]

6. Implement Multiply fractions [50 points]

7. Implement Subtract fraction [100 points]

8. Implement rational::reduce, which will be used to reduce fractions. [100 points]

Follow guidelines in your code. [50 points]

Finally, separate the struct definition with method declarations and function declarations (in a header file), the function and method definitions (in a source file) and the main function in the quest2.cpp file. [100 points].

Note: Use test cases to ensure they actually do work. Create a Test for every function that you implemented.

Task 0: Create project

You will create a project in visual studio that contain the following files:

• quest2.cpp,

• rationals.cpp,

• rationals.h

The quest2.cpp file contains the int main function. The rationals.cpp and rational.h files contain the functions required in the program. The rationals.h file contain the structs and constants you will be using for your program.

Task 1: Test that your code runs

After you create your program, add the next base code to your quest2.cpp

#include <iostream>

using namespace std;

struct Fraction {

int numerator_;

int denominator_;

};

Fraction newFraction() {

Fraction f;

f.numerator_ = 1;

f.denominator_ = 2;

return f;

}

Fraction newFraction(int num, int den) {

Fraction f;

f.numerator_ = num;

f.denominator_ = den;

return f;

}

//Examples input and output  

//Input -> (1\2)+(1/2)

//Output -> (4/4)

void addToFraction(Fraction& f1, const Fraction& f2) {

int denominador = f1.denominator_*f2.denominator_;

Fraction tmp_lhs = newFraction(f1.numerator_*f2.denominator_, denominador);

Fraction tmp_rhs = newFraction(f2.numerator_*f1.denominator_, denominador);

f1.numerator_ = tmp_lhs.numerator_ + tmp_rhs.numerator_;

f1.denominator_ = denominador;

}

//Examples input and output  

//Input -> (1\2)+2

//Output -> (5/2)

void addToFraction(Fraction& f1, int number) {

   

}

void printFraction(Fraction& f) {

cout<< '(' << f.numerator_ << '/' << f.denominator_ << ')' << endl;

}

int main() {

//Creating fraction a and b

Fraction a = newFraction(3,2);

Fraction b = newFraction(4,2);

//Printing fraction a and b

printFraction(a);

printFraction(b);

//Adding two fractions

addToFraction(a,b);

printFraction(a);

//Adding fraction to number

addToFraction(a, 12);

cin.get();

return 0;

}

Then, when you compile and run the program, a test example of add operation is provided, make sure that is working properly.

Task 2: Complete the program

1. Create a function for each operation between fraction required.

2. In the main function, you need to create test for every operation that is required.

Task 3: Record your results

Now you want to make a video where you present how each function works. Run each test separately. Every operation that is not presented in the video will not receive points.

Task 4: Submit Completed Assignment

Create a zip file that include your visual studio project and a 5 minute video explaining your results in Blackboard!

Answer 1

rationals.h

struct Fraction {
int numerator_;
int denominator_;
};

Fraction newFraction();
Fraction newFraction(int num, int den) ;
void addToFraction(Fraction& f1, int number);
void addToFraction(Fraction& f1, const Fraction& f2) ;
void printFraction(Fraction& f) ;
void negationFraction(Fraction& f);///f=-f
void operator-(Fraction &f); /// f1=-f1
void multiplyFraction(Fraction& f1,const Fraction& f2); /// f1=f1*f2
void divideFraction(Fraction& f1,const Fraction& f2); /// f1=f1/f2
void substractFraction(Fraction& f1, const Fraction& f2); ///f1=f1-f2
void rationalReduce(Fraction &f); /// reduce f
-----------------------------------------------------------------------------------------------------------

rationals.cpp

/// the function and method definitions (in a source file = rationals.cpp)
#include <iostream>
#include "rationals.h"
using namespace std;

Fraction newFraction() {

Fraction f;

f.numerator_ = 1;

f.denominator_ = 2;

return f;

}

Fraction newFraction(int num, int den) {

Fraction f;

f.numerator_ = num;

f.denominator_ = den;

return f;

}

//Examples input and output

//Input -> (1\2)+(1/2)

//Output -> (4/4)

void addToFraction(Fraction& f1, const Fraction& f2) {

int denominador = f1.denominator_*f2.denominator_;

Fraction tmp_lhs = newFraction(f1.numerator_*f2.denominator_, denominador);

Fraction tmp_rhs = newFraction(f2.numerator_*f1.denominator_, denominador);

f1.numerator_ = tmp_lhs.numerator_ + tmp_rhs.numerator_;

f1.denominator_ = denominador;

}

//Examples input and output

//Input -> (1\2)+2

//Output -> (5/2)

void addToFraction(Fraction& f1, int number) {
/// multiply number by f1's denominator &
/// divide number by f1's denominator

Fraction temp=newFraction(number * f1.denominator_ , f1.denominator_);
// printFraction(temp);
///now add numerator
f1.numerator_=f1.numerator_ + temp.numerator_;
/// f1 denominator will remain same

}

///Implement the negation operator for fractions.
///input : 4/3
/// output -4/3
///input : 5/4
///output :-5/4
void negationFraction(Fraction &f){
f.numerator_= - (f.numerator_);
}
///Implement the negation operator for fractions. by OVERLOADING - (minus) operator
void operator-(Fraction &f){
f.numerator_= - (f.numerator_);
}

///In multiply of two fractions, simply multiply the two numerators && multiply the two denominators
///input : (4/3) * (5/2)
///output:(20/6)
void multiplyFraction(Fraction &f1,const Fraction &f2){
f1.numerator_ = f1.numerator_ * f2.numerator_;
f1.denominator_=f1.denominator_ * f2.denominator_;
}
///In division of two fractions, the first fraction must
/// be multiplied by the reciprocal of the second fraction.
void divideFraction(Fraction &f1,const Fraction &f2){
f1.numerator_ = f1.numerator_ * f2.denominator_;
f1.denominator_=f1.denominator_ * f2.numerator_;
}
///input = (2/3)-(1/2)
///output =1/6
void substractFraction(Fraction &f1,const Fraction &f2){
int denominador = f1.denominator_*f2.denominator_;

Fraction tmp_lhs = newFraction(f1.numerator_*f2.denominator_, denominador);

Fraction tmp_rhs = newFraction(f2.numerator_*f1.denominator_, denominador);

f1.numerator_ = tmp_lhs.numerator_ - tmp_rhs.numerator_;

f1.denominator_ = denominador;
}
///function to find GCD common divisor
int GCD(int num1, int num2)
{
if (num1 == 0)
return num2;
return GCD(num2 % num1, num1);
}

///input : 20/5 GCD(20,5)=5 output=4/1
///input : 22/5 GCD (22, 5) =
void rationalReduce(Fraction &f){
///If both numerator and denominator of fraction
/// is divisible by their greatest common divisor then fraction can be reduce
///hence we divide numerator and denominator by gcd

int gcd=GCD(f.numerator_, f.denominator_);
f.numerator_ =f.numerator_/gcd;
f.denominator_ = f.denominator_/gcd;

}

void printFraction(Fraction& f) {
cout<< '(' << f.numerator_ << '/' << f.denominator_ << ')'<<endl;
}

//--------------------------------------------------------------------------------------------------------------------

/// quest2.cpp

#include <iostream>
#include "rationals.h"
using namespace std;

int main() {
/*
//Creating fraction a and b

Fraction a = newFraction(3,2);

Fraction b = newFraction(4,2);

//Printing fraction a and b

printFraction(a);

printFraction(b);

//Adding two fractions

addToFraction(a,b);

printFraction(a);

//Adding fraction to number

int num=15;
addToFraction(a, num);
cin.get();
*/

int choice=0;
do{

cout<<"\nEnter choice :";
cout<<"\n1.Add Two Fractions\n2.Add Fraction and Number\n3. Subtract fraction";
cout<<"\n4.Multiply Fractions\n5.Division of Fractions\n6.Negation of Fraction";
cout<<"\n7.Reduce Fraction to simple form\n0.exit \t";
cin>>choice;

switch(choice){

case 1:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);

cout<<"\nEnter second fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f2=newFraction(num,den);

addToFraction(f1,f2);
cout<<"\nAnswer = ";
printFraction(f1);
cout<<endl;

break;
}

case 2:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);
cout<<"\nEnter second fraction";
cin>>num;
addToFraction(f1,num);
printFraction(f1);
break;
}

case 3:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);

cout<<"\nEnter second fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f2=newFraction(num,den);

substractFraction(f1,f2);
cout<<"\nSubtract = ";
printFraction(f1);
cout<<endl;

break;
}

case 4:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);

cout<<"\nEnter second fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f2=newFraction(num,den);

multiplyFraction(f1,f2);
cout<<"\nMultiply = ";
printFraction(f1);
cout<<endl;

break;
}

case 5:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);

cout<<"\nEnter second fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f2=newFraction(num,den);

divideFraction(f1,f2);
cout<<"\nDivide = ";
printFraction(f1);
cout<<endl;

break;
}

case 6:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);
-f1;
cout<<"\nAfter negation = ";
printFraction(f1);
negationFraction(f1);
cout<<"\nAgain another After negation = ";
printFraction(f1);

cout<<endl;

break;
}

case 7:
{
int num,den;
cout<<"\nEnter first fraction";
cout<<"\nNumerator = ";
cin>>num;
cout<<"\nDenominator = ";
cin>>den;
Fraction f1=newFraction(num,den);
cout<<"\nAfter reduce \n";
rationalReduce(f1);
printFraction(f1);
cout<<endl;

break;
}

}

}while(choice!=0);

return 0;

}

/*

output

*/