// Name
// CS201 HW6    
// Problem 1

#include <iostream>
using namespace std;

// class definition
class Counter
{
public:
    // constructor
    Counter(int maximum);

    // member functions
    void reset();
    void incr1();
    void incr10();
    void incr100();
    void incr1000();	
    void output();
    bool overflow();
	
private:
    int count;   //data members
    int max;	
};


//implemention of constructor & member functions
Counter::Counter(int maximum) : max(maximum), count(0)
{
}

void Counter::reset()
{
   count=0;
}

void Counter::incr1()
{
   count++;
   overflow();
}

void Counter::incr10()
{
   count +=10;
   overflow();
}

void Counter::incr100()
{
   count += 100;
   overflow();
}

void Counter::incr1000()
{
   count = count+1000;
   overflow();
}	

void Counter::output()
{
   cout << "The value on the counter is " << count << endl;
}

bool Counter::overflow()
{
   if (count > max)
      cout << "Overflow: The counter has exceeded its maximum of " << max << endl;
   
   return (count > max);
}

//driver
int main()
{
   char choice;
   int num=0, i;
   Counter clicker(9999);
   do
   {
     i = 0;
     cout << "The current amount is ";
     clicker.output();
     cout << endl;
     cout << "Press \"a\" to input a number of cents from 1 to 9.\n"
	  << "Press \"s\" to input a number of dimes from 1 to 9.\n"
   	  << "Press \"d\" to input a number of dollars from 1 to 9.\n"
          << "Press \"f\" to input a number of tens of dollars from 1 to 9.\n"
	  << "Press \"o\" to check for overflow.\n"
  	  << "Press \"r\" to reset the counter.\n"
	  << "Press \"x\" to exit.\n";

     cin >> choice;


     switch (choice)
     {
	case 'a':
	   do
	   {
	      cout << "Enter a number between 1 and 9.\n";
	      cin >> num;
	      if (num<1 || num>9)
		 cout << "You did not enter a number between 1 and 9.\n";
	    }while (num<1 || num>9);
				
            while (i<num)
	    {
	        clicker.incr1();
	    	i++;
	    }
	    cout << endl;
	    break;
        case 's':
	   do
	   {
	       cout << "Enter a number between 1 and 9.\n";
	       cin >> num;
	       if (num<1 || num>9)
		  cout << "You did not enter a number between 1 and 9.\n";
	   }while (num<1 || num>9);
	   
           while (i<num)
	   {				
   	      clicker.incr10();
	      i++;
	    }
	    cout << endl;
	    break;
         case 'd':
	    do
	    {
		cout << "Enter a number between 1 and 9.\n";
		cin >> num;
		if (num<1 || num>9)
		cout << "You did not enter a number between 1 and 9.\n";
	    }while (num<1 || num>9);
				
            while (i<num)
	    {
		clicker.incr100();
		i++;
	    }
	   
            cout << endl;
	    break;
         case 'f':
	    do
	    {
		cout << "Enter a number between 1 and 9.\n";
		cin >> num;
		if (num<1 || num>9)
		    cout << "You did not enter a number between 1 and 9.\n";
	    }while (num<1 || num>9);
	    
            while (i<num)
	    {
		clicker.incr1000();
		i++;
	    }
	    cout << endl;
	    break;
	 case 'o':
	    if (!clicker.overflow())
		cout << "The counter has not exceeded its maximum.\n";
	    cout << endl;
	    break;
	 case 'r':
	    clicker.reset();
	    cout << endl;
	    break;
	 case 'x':
	    cout << "End of Program.\n\n";
	    break;
	 default:
	    cout << "Not a valid choice.\n"
		 << "Choose again.\n\n";
	}
   }while (choice !='x');

   return 0;
}


/*
The current amount is The value on the counter is 0

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
o
The counter has not exceeded its maximum.

The current amount is The value on the counter is 0

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
a
Enter a number between 1 and 9.
9

The current amount is The value on the counter is 9

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
s
Enter a number between 1 and 9.
9

The current amount is The value on the counter is 99

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
9
Not a valid choice.
Choose again.

The current amount is The value on the counter is 99

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
d
Enter a number between 1 and 9.
9

The current amount is The value on the counter is 999

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
f
Enter a number between 1 and 9.
9

The current amount is The value on the counter is 9999

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
a
Enter a number between 1 and 9.
1
Overflow: The counter has exceeded its maximum of 9999

The current amount is The value on the counter is 0

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
o
Overflow: The counter has exceeded its maximum of 9999

The current amount is The value on the counter is 10000

Press "a" to input a number of cents from 1 to 9.
Press "s" to input a number of dimes from 1 to 9.
Press "d" to input a number of dollars from 1 to 9.
Press "f" to input a number of tens of dollars from 1 to 9.
Press "o" to check for overflow.
Press "r" to reset the counter.
Press "x" to exit.
*/



// Name
// CS201 HW6    
// Problem 2     
 
#include <iostream>
using namespace std;

// class definition
class Rational
{
public:
       //construtors
	Rational();
	Rational(int numerator);
	Rational(int numerator, int denominator);

	//member functions
	Rational add(Rational rhs);	
	Rational sub(Rational rhs);
	Rational mul(Rational rhs);
	Rational div(Rational rhs);
	Rational neg();

	bool less(Rational rhs);
	void input(istream& in);
	void output(ostream& out);
	
private:
	int num;
	int den;
};


// Implementation of member functions

Rational::Rational() : num(0), den(1)
{
}

Rational::Rational(int numerator) : num(numerator), den(1)
{
}

Rational::Rational(int numerator, int denominator) :num(numerator), den(denominator)
{		
}

Rational Rational::add(Rational rhs)
{
   return Rational((num*rhs.den + den*rhs.num), (den*rhs.den));
}

Rational Rational::sub(Rational rhs)
{
   return Rational((num*rhs.den - den*rhs.num), (den*rhs.den));
}

Rational Rational::mul(Rational rhs)
{
   return Rational(num*rhs.num, den*rhs.den);
}

Rational Rational::div(Rational rhs)
{
   return Rational(num*rhs.den, den*rhs.num);
}

Rational Rational::neg()
{
   return Rational(num*-1, den);
}

void Rational::input(istream& in)
{
    in >> num  >> den;	
}

bool Rational::less(Rational rhs)
{
    double x=num, y=den, a=rhs.num, b=rhs.den;
    return x/y < a/b;
}

void Rational::output(ostream& out)
{
    out << num << "/" << den;
}

// driver
int main()
{
Rational onehalf(1,2);
Rational five(5);

Rational x=five.mul(onehalf);

cout << "Five times one half is ";
x.output(cout);
cout << endl;

cout << "Five divided by one half is ";
five.div(onehalf).output(cout);  //notice the chained . . operators
cout << endl;

cout << "One half minus five is ";
onehalf.sub(five).output(cout);
cout << endl;

cout << "(1/2 - (-1/3)) * 6 = ";
(Rational(1,2).sub(Rational(1,3).neg())).mul(Rational(6)).output(cout);
cout << endl;

cout << "Test the \"less\" operator where a<b, a=b, and a>b: " << endl;
for(int ii=0;ii<3;++ii)
	{
	Rational a,b;
	cout << "Enter two rational numbers ";
	a.input(cin);
	b.input(cin);
	a.output(cout);
	if (a.less(b))
		cout << " is less than ";
	else
		cout << " is not less than ";
	b.output(cout);
	cout << endl;
	}
return 0;
}

/*
Five times one half is 5/2
Five divided by one half is 10/1
One half minus five is -9/2
(1/2 - (-1/3)) * 6 = 30/6
Test the "less" operator where a<b, a=b, and a>b:
Enter two rational numbers 1 2 3 4
1/2 is less than 3/4
Enter two rational numbers 5 2 5 3
5/2 is not less than 5/3
Enter two rational numbers 5 5 5 5
5/5 is not less than 5/5
Press any key to continue
*/