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#include <iostream>
#include <cstdlib>
using namespace std;
class Fraction // Class for fraction values
{
private:
int WholeNumber;
int Numerator;
int Denominator;
public: // Prototypes for MEMBER functions
Fraction() // Default constructor
{
this->WholeNumber = 0;
this->Numerator = 0;
this->Denominator = 1;
}
Fraction(int w, int n, int d): WholeNumber(w), Numerator(n), Denominator(d)
{
}
Fraction(const Fraction & rhs)// Copy constructor
{
this->WholeNumber = rhs.WholeNumber;
this->Numerator = rhs.Numerator;
this->Denominator = rhs.Denominator;
}
// Accessor Functions
int getWholeNumber() const;
int getNumerator() const;
int getDenominator() const;
void getFraction() const // Show the Fraction values
{
cout << this->WholeNumber;
if (this->Numerator) // If numerator is NOT 0
cout << " " << this->Numerator
<< "/"
<< this->Denominator;
return;
}
void setFraction(int w, int n, int d)
{
this->WholeNumber = w;
this->Numerator = n;
this->Denominator = d;
}
void setFraction() // Set Fraction values
{
// Parse the input stream...
char Temp[] = " "; //EXACTLY 16 character positions (shown as SPACES
//in the literal).
char *pChr; // Pointer to the END of the Temp array
char w[8], n[8], d[8]; // Some temporary storage arrays for the fraction
// components
// Set arrays to blanks
int count;
for(count=0;count < 7; count++)
{
w[count] = ' ';
n[count] = ' ';
d[count] = ' ';
}
d[count] = '\0'; // Store null at the end of the arrays
n[count] = '\0';
w[count] = '\0';
pChr = &Temp[15]; // Start at the 'end' of the input array
cin.getline(Temp,15); // Get the fraction value
while (*pChr == ' ')
{
pChr--; // Find the last digit position
} // Put a null character there to end the 'string'
*pChr = '\0';
int NullLocation = (pChr - Temp); // Save character count of where null
// was stored
pChr--; // Skip the null
// Create three pointers to the last character position in each component part
char *pDen = &d[6];
char *pNum = &n[6];
char *pWhole = &w[6];
for(count=0;count < NullLocation; count++)
{
if (Temp[count] == '/')
break; // Found the separator in fraction, otherwise it's
// a whole number only
}
if (count >= NullLocation)
{
this->Denominator = 1;// There is no fraction
this->Numerator = 0;
} // End if
else
{ // There is a '/' separator in the fraction value
while (*pChr != '/')
{
*pDen = *pChr; // Store the digit
pDen--;
pChr--;
}
this->Denominator = atoi(d);
pChr--; // Skip the '/' character
while (*pChr != ' ')
{
*pNum = *pChr; // Store the digit
pNum--;
pChr--;
}
this->Numerator = atoi(n); // Store the numerator
} // End else
while (pChr >= &Temp[0]) // Parse the wholenumber
{
*pWhole = *pChr; // Store the digit
pWhole--;
pChr--;
}
this->WholeNumber = atoi(w); // Store the wholenumber
return;
}
void AddFractions(Fraction &, Fraction &); // Add two objects of Fraction type
void ReduceFractions();
void SubFractions(Fraction & , Fraction & ); // Reduce fraction to lowest terms
Fraction operator + (const Fraction &);
Fraction operator - (const Fraction & );
}; // End of Fraction class declaration/definition
// AddFractions - member function of the Fraction class
void Fraction::AddFractions(Fraction & One, Fraction & Two)
{
int New1;
int New2;
int NewNumerator;
int CarryOut;
this->WholeNumber = One.WholeNumber + Two.WholeNumber;
this->Denominator = One.Denominator * Two.Denominator;
New1 = One.Numerator * Two.Denominator;
New2 = Two.Numerator * One.Denominator;
NewNumerator = New1 + New2;
CarryOut = NewNumerator / this->Denominator;
this->WholeNumber += CarryOut;
this->Numerator = NewNumerator % this->Denominator;
return;
}
void Fraction::SubFractions(Fraction & One, Fraction & Two)
{
int New1;
int New2;
int NewNumerator;
int CarryOut;
this->WholeNumber = One.WholeNumber - Two.WholeNumber;
this->Denominator = One.Denominator * Two.Denominator;
New1 = One.Numerator * Two.Denominator;
New2 = Two.Numerator * One.Denominator;
NewNumerator = New1 - New2;
CarryOut = NewNumerator / this->Denominator;
this->WholeNumber -= CarryOut;
this->Numerator = NewNumerator % this->Denominator;
return;
}
// ReduceFraction - member function of Fraction class
void Fraction::ReduceFractions()
{
int First = this->Numerator;
int Second = this->Denominator;
int Temp;
if(this->Numerator == 0) // Check for 0 numerator
{
this->Denominator = 1;
return;
}
// Find greatest common denominator
while (First != Second)
{
if (First < Second) // First is not larger
{
Temp = First; // Swap values
First = Second;
Second = Temp;
}
First -= Second;
} // End while
this->Numerator /= First;
this->Denominator /= First;
return;
}
Fraction Fraction::operator + (const Fraction & rhs)
{
int New1;
int New2;
int NewNumerator;
int CarryOut;
Fraction temp;
temp.WholeNumber = WholeNumber + rhs.WholeNumber;
temp.Denominator = Denominator * rhs.Denominator;
New1 = Numerator * rhs.Denominator;
New2 = rhs.Numerator * Denominator;
NewNumerator = New1 + New2;
CarryOut = NewNumerator / this->Denominator;
temp.WholeNumber += CarryOut;
temp.Numerator = NewNumerator % this->Denominator;
return temp;
}
int main()
{
Fraction FirstOne; // A fraction value
Fraction SecondOne; // Another fraction value
Fraction Sum; // Sum of two fractions
cout << "Enter the first fraction value: ";
FirstOne.setFraction();
cout << "Enter the second fraction value: ";
SecondOne.setFraction();
Sum.AddFractions(FirstOne, SecondOne);
Sum.ReduceFractions();
cout << endl << "The sum of ";
FirstOne.getFraction();
cout << " and ";
SecondOne.getFraction();
cout << " is ";
Sum.getFraction();
cout << endl << endl;
Fraction NewSum = FirstOne + SecondOne;
cout << endl << "The sum of ";
FirstOne.getFraction();
cout << " and ";
SecondOne.getFraction();
cout << " is ";
NewSum.getFraction();
cout << endl << endl;
return 0;
}
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