// Example with functions

// These #include statements also declare information at "file scope" 
#include <iostream>
#include <cstdlib>
#include <cmath>

// function definition - include the code for the function
// calculate the root of the polyinomial equation ax^2+bx+c = 0
//
// root1 = (-b + sqrt(b^2 - 4ac))/2a
// root2 = (-b - sqrt(b^2 - 4ac))/2a
//
// returns a value of false if the equation has imaginary roots
//  otherwise return a value of true.

bool getRoots(int a, int b, int c, float &rt1, float &rt2)
{
 float t1, t2;

 t1 = pow(b, 2) - 4*a*c;

 // check for imaginary root
 if (t1 < 0)
    {
     // cout << "Imaginary roots" << endl;
     rt1 = -1.0;
     rt2 = -1.0;
     return false;
    }
 else
    {
     rt1 = (-b + sqrt(t1)) / 2*a;
     rt2 = (-b - sqrt(t1)) / 2*a;
     return true;
    }
}

int main()
{
 int c1, c2, c3;
 float root1, root2;
 int number1 = 7;
 bool result; 

 cout << "Number1: " << number1 << endl;

 cout << "Starting Main" << endl;
 cout << "Enter in the 3 coeffiecients: ";

 cin >> c1 >> c2 >> c3;
 
 // function call
 result = getRoots (c1, c2, c3, root1, root2);

 if (result == true)
    {
     cout << "The first root is: " << root1 << endl;
     cout << "The second root is: " << root2 << endl;
    }
 else
    {
     cout << "The equation has imaginary roots." << endl;
    }

 cout << "Ending Main" << endl;

}