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++
// 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("
"); } } // Driver Program to test above function int main() { drawCircle(8); return 0; } |
Java
// 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. } |
C#
// 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. } |
PHP
<?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 "
"; } } // Driver Code drawCircle(8); // This code is contributed by aj_36 ?> |
Output :
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