+ Essay/Term paper: Fractable.cpp
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//FracTable
#include <iostream>
#include <cmath>
#include <conio.h> //required for getch()
#include <iomanip> //required for setw()
using namespace std;
class fraction //fraction class
{
private:
int num,den;
public:
fraction(): num(0),den(0){}
fraction(int n,int d):num(n),den(d) {}
void display() {cout<<num<<"/";cout.setf(ios::left);cout<<setw(4)<<den;}
fraction mult(fraction&, fraction&);
void dispheader()
{cout <<num <<"/";cout.setf(ios::left);cout<<setw(4)<<den;}
void lowterms();
};
//----------------------Source copy from textbook----------------------------
void fraction::lowterms() // Change ourself to lowest terms
{
long tnum, tden, temp, gcd;
tnum = labs(num); // use non-negative copies
tden = labs(den); // (needs cmath)
if(tden == 0) // check for 0/n
{
cout << "Illegal fraction: division by 0"; exit(1);
}
else if(tnum==0) //check for 0/n
{
num = 0; den = 1; return;
}
//This 'while' loop finds the gcd of tnum tden
while(tnum != 0)
{
if(tnum < tden) // ensure numerator larger
{
temp = tnum; tnum = tden; tden = temp; //swam them
}
tnum = tnum - tden; // subtract them
}
gcd = tden; // this is greates comon divisor
num = num / gcd; // divide both num and den by gcd
den = den / gcd; // to reduce frac to lowest terms
}
//-----------------------End of source copy from textbook-------------------
int get_den() //get denominator from user
{
int valid =2;
int denom;
cout<< "Enter a denominator:a ";
cin>>denom; cout<<endl;
if (denom < valid)
do //loop until valid entry
{
cout<< "Invalid entry. Try again."<<endl;
cout<< "Enter a denominator:a " ;
cin>> denom; cout<<endl;
}
while(denom < valid);
return denom;
}
/*----------------------------------------------------------------*/
fraction fraction::mult(fraction& x,fraction& y)
{
fraction temp;
temp.num = x.num * y.num;
temp.den = x.den * y.den;
return temp;
}
/*----------------------------------------------------------------*/
int main()
{
int atemp,btemp,din;
int headmax(8);
int dashmax(7);
din=(get_den());
cout<<setw(headmax)<<" ";
for (atemp=1; atemp < din ; atemp++)
{
fraction x(atemp,din);
x.lowterms();
x.dispheader();
}
cout <<endl;
for (int temp = 1; temp <(din*dashmax); temp++)
{
cout<<"-";
}
for (atemp=1; atemp < din ; atemp++)
{
fraction x(atemp,din);
cout<<endl;
if (atemp < din)
{
x.lowterms();
x.display();
cout<<"| ";
}
for (btemp=1; btemp < din; btemp++)
{
fraction y(btemp,din);
fraction z= z.mult(x,y);
z.lowterms();
z.display();
}
}
cout<< endl<< "Press any key to terminate program.a";
getch(); //keep window open until key pressed
return 0;
}
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