Draw a circle without floating point arithmetic

Given a radius of a circle, draw the circle without using floating point arithmetic.

Following program uses a simple concept. Let the radius of the circle be r. Consider a square of size (2r+1)*(2r+1) around the circle to be drawn. Now walk through every point inside the square. For every every point (x,y), if (x, y) lies inside the circle (or x^2+ y^2 < r^2), then print it, otherwise print space.

C++

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// C++ program to draw a circle without
// floating point arithmetic
#include <stdio.h>
  
void drawCircle(int r)
{
    // Consider a rectangle of size N*N
    int N = 2*r+1;
  
    int x, y;  // Coordinates inside the rectangle
  
    // Draw a square of size N*N.
    for (int i = 0; i < N; i++)
    {
        for (int j = 0; j < N; j++)
        {
            // Start from the left most corner point
            x = i-r;
            y = j-r;
  
            // If this point is inside the circle, print it
            if (x*x + y*y <= r*r+1 )
                printf(".");
            else // If outside the circle, print space
                printf(" ");
            printf(" ");
        }
        printf("\n");
    }
}
  
// Driver Program to test above function
int  main()
{
    drawCircle(8);
    return 0;
}

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Java

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// Java program to draw a circle without
// floating point arithmetic
  
import java.io.*;
  
class GFG {
static void drawCircle(int r) 
    // Consider a rectangle of size N*N 
    int N = (2*r+1); 
  
    int x, y; // Coordinates inside the rectangle 
  
    // Draw a square of size N*N. 
    for (int i = 0; i < N; i++) 
    
        for (int j = 0; j < N; j++) 
        
            // Start from the left most corner point 
            x = i-r; 
            y = j-r; 
  
            // If this point is inside the circle, print it 
            if (x*x + y*y <= r*r+1
                    System.out.print("."); 
            else // If outside the circle, print space 
                    System.out.print(" "); 
                System.out.print(" "); 
        
            System.out.println(); 
    
  
// Driver Program to test above function 
    public static void main (String[] args) {
        drawCircle(8); 
    }
//This code is contributed by ajit. 
}

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C#

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// C#  program to draw a circle without
// floating point arithmetic
  
using System;
  
public class GFG{
    static void drawCircle(int r) 
    // Consider a rectangle of size N*N 
    int N = (2*r+1); 
  
    int x, y; // Coordinates inside the rectangle 
  
    // Draw a square of size N*N. 
    for (int i = 0; i < N; i++) 
    
        for (int j = 0; j < N; j++) 
        
            // Start from the left most corner point 
            x = i-r; 
            y = j-r; 
  
            // If this point is inside the circle, print it 
            if (x*x + y*y <= r*r+1 ) 
                    Console.Write("."); 
            else // If outside the circle, print space 
                    Console.Write(" "); 
                Console.Write(" "); 
        
            Console.WriteLine(); 
    
  
// Driver Program to test above function 
    static public void Main (){
        drawCircle(8); 
    }
//This code is contributed by Sachin. 
}

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PHP

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<?php
// PHP program to draw a circle without
// floating point arithmetic
  
function drawCircle($r)
{
    // Consider a rectangle
    // of size N*N
    $N = 2 * $r + 1;
  
    // Coordinates inside
    // the rectangle
    $x; $y
  
    // Draw a square of size N*N.
    for ($i = 0; $i < $N; $i++)
    {
        for ($j = 0; $j < $N; $j++)
        {
            // Start from the left 
            // most corner point
            $x = $i - $r;
            $y = $j - $r;
  
            // If this point is inside
            // the circle, print it
            if ($x * $x + $y * $y <= $r * $r + 1 )
                echo ".";
              
            // If outside the circle, 
            // print space
            else
                echo " ";
            echo " ";
        }
        echo "\n";
    }
}
  
// Driver Code
drawCircle(8);
  
// This code is contributed by aj_36
?>

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Improved By : jit_t, Sach_Code

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