Question 1 Draw a Circle 50 points Before starting this ques

Question 1: Draw a Circle (50 points) Before starting this question, we strongly recommend that you complete the last two warm- up exercises if you have not already done so. These warm-up questions will be the best way to start the assignment. For this question, you will write a program called Circle that displays a circle in the upper right quadrant of the Cartesian plane. To do so, write (at a minimum) the following three methods A. A method called onCircle that takes as input five ints. The first three parameters represent (in order) the radius and x,y coordinates of the centre of the circle. The last two parameters represent an x,y position on the grid. This method determines whether or not the circle should be drawn at the grid coordinates given by the method\'s parameters. To get the appropriate thickness for the circle, return whether the following formula holds or not: radius2 s (ar a)2 (y b)2 s radius 1 In the above formula, a and b are the coordinates of the centre of the circle, and x and y are the grid coordinates B. A method called verifyInput that takes as input three ints representing the radius and centre coor- dinates of the circle, and returns nothing. This method should throw an IllegalArgumentException and display a helpful error message if either the circle does not fit in the upper right quadrant, or if the radius is non-positive. Otherwise, the method will not print anything. As a hint, the circle does not fit in the upper-right quadrant if it is too close to the axes C. A method called drawCircle that takes as input an int representing the radius of the circle, another int representing the x coordinate of the centre of the circle, and a third int representing the y

Solution

I\'ve also included the main function, so that you can test the code.

public class Circle {

   public static void main(String[] args)
   {
       // Main function for testing
           drawCircle(1,3,3,\'&\');
           drawCircle(3,3,3,\'&\');
           drawCircle(4,10,5,\'&\');
           drawCircle(5,10,12,\'&\');
          
           //drawCircle(5,2,2,\'&\');
           //drawCircle(-5,7,12,\'&\');
   }
     
  
   /*
   * This function checks whether a point lies on the circle or not. If the point lies on the circle
   * the function returns true, else false
   * Input : radius, x ,y (centre of circle), pt_x, pt_y (point which is checked)
   * Returns : boolean
   */
   public static boolean onCircle(int radius,int x,int y,int pt_x,int pt_y){
              
       int d = ( (pt_x - x) * (pt_x - x) ) + ( (pt_y - y) * (pt_y - y));
       int rad_sq = radius * radius;
       if(d >= rad_sq && d<= rad_sq + 1)
       {
           // point lies on the circle
           return true;
       }
      
       // point does not lie on the circle
       return false;
   }
  
  
public static void verifyInput(int radius,int x,int y){
     
   if(radius < 0 )
       throw new IllegalArgumentException(\"Circle must have positive radius\");
     
     
   //checks if circle fits in first quadrant
   if(radius > x || radius > y)
       throw new IllegalArgumentException(\"Circle must fit in upper right quadrant\");
}



public static void drawCircle(int radius,int x,int y,char c)
{
     
   // check the user input
   verifyInput(radius,x,y);
     
   int y_axis = 9;
   int x_axis = 9;
     
   if(y+radius > 9)
   {
       y_axis = y + radius;
   }
     
   if(x+radius > 9)
   {
       x_axis = x + radius;
   }

     
   for(int i = y_axis; i >= 0 ;i--)
   {
       for(int j=0;j<=x_axis ;j++){
             
           if(i== y_axis && j==0)
               System.out.print(\"^\");
             
           if(onCircle(radius,x,y,j,i))
               System.out.print(c);
             
           else if(i==0 && j==0)
           {
               System.out.print(\'+\');
           }
           else if(j==0 && i!=y_axis){
               System.out.print(\'|\');
           }
           else if(i==0 && j==x_axis){
               System.out.print(\'>\');
           }
           else if(i==0){
               System.out.print(\'-\');
           }
           else
               System.out.print(\" \");
             
       }
         
       System.out.println(); // new line
   }
     
}
  
}