// C++ program to rotate an object by // a given angle about a given point #include    #include  using namespace std; // Using macros to convert degree to radian // and call sin() and cos() as these functions // take input in radians #define SIN(x) sin(x * 3.141592653589 / 180) #define COS(x) cos(x * 3.141592653589 / 180) // To rotate an object given as order set of points in a[] // (x_pivot y_pivot) void rotate(float a[][2] int n int x_pivot int y_pivot  int angle) {  int i = 0;  while (i < n) {  // Shifting the pivot point to the origin  // and the given points accordingly  int x_shifted = a[i][0] - x_pivot;  int y_shifted = a[i][1] - y_pivot;  // Calculating the rotated point co-ordinates  // and shifting it back  a[i][0] = x_pivot  + (x_shifted * COS(angle)  - y_shifted * SIN(angle));  a[i][1] = y_pivot  + (x_shifted * SIN(angle)  + y_shifted * COS(angle));  cout << '(' << a[i][0] << ' ' << a[i][1] << ') ';  i++;  } } // Driver Code int main() {  // 1st Example  // The following figure is to be  // rotated about (0 0) by 90 degrees  int size1 = 4; // No. of vertices  // Vertex co-ordinates must be in order  float points_list1[][2] = { { 100 100 }  { 150 200 }  { 200 200 }  { 200 150 } };  rotate(points_list1 size1 0 0 90);  // 2nd Example  // The following figure is to be  // rotated about (50 -50) by -45 degrees  /*int size2 = 3;//No. of vertices  float points_list2[][2] = {{100 100} {100 200}  {200 200}};  rotate(points_list2 size2 50 -50 -45);*/  return 0; } 

// Java program to rotate an object by // a given angle about a given point public class rotation {  static void rotate(double a[][] int n int x_pivot  int y_pivot int angle)  {  int i = 0;  while (i < n)  {    // Shifting the pivot point to the origin  // and the given points accordingly  int x_shifted = (int)a[i][0] - x_pivot;  int y_shifted = (int)a[i][1] - y_pivot;  // Calculating the rotated point co-ordinates  // and shifting it back  double x = Math.toRadians(angle);  a[i][0] = x_pivot  + (x_shifted * Math.cos(x)  - y_shifted * Math.sin(x));  a[i][1] = y_pivot  + (x_shifted * Math.sin(x)  + y_shifted * Math.cos(x));  System.out.printf('(%f %f) ' a[i][0]  a[i][1]);  i++;  }  }  // Driver Code  public static void main(String[] args)  {  // 1st Example  // The following figure is to be  // rotated about (0 0) by 90 degrees  int size1 = 4; // No. of vertices  // Vertex co-ordinates must be in order  double points_list1[][] = { { 100 100 }  { 150 200 }  { 200 200 }  { 200 150 } };  rotate(points_list1 size1 0 0 90);  // 2nd Example  // The following figure is to be  // rotated about (50 -50) by -45 degrees  /*int size2 = 3;//No. of vertices  double points_list2[][2] = {{100 100} {100 200}  {200 200}};  rotate(points_list2 size2 50 -50 -45);*/  } } // This code is contributed by karandeep1234 

# Python3 program to rotate an object by # a given angle about a given point import math SIN=lambda x: int(math.sin(x * 3.141592653589 / 180)) COS=lambda x: int(math.cos(x * 3.141592653589 / 180)) # To rotate an object def rotate(a n x_pivot y_pivot angle): i = 0 while (i < n) : # Shifting the pivot point to the origin # and the given points accordingly x_shifted = a[i][0] - x_pivot y_shifted = a[i][1] - y_pivot # Calculating the rotated point co-ordinates # and shifting it back a[i][0] = x_pivot + (x_shifted * COS(angle) - y_shifted * SIN(angle)) a[i][1] = y_pivot + (x_shifted * SIN(angle) + y_shifted * COS(angle)) print('({} {}) '.format(a[i][0] a[i][1])end=' ') i+=1 # Driver Code if __name__=='__main__': # 1st Example # The following figure is to be # rotated about (0 0) by 90 degrees size1 = 4 # No. of vertices # Vertex co-ordinates must be in order points_list1 = [[ 100 100] [ 150 200] [ 200 200] [ 200 150]] rotate(points_list1 size1 0 0 90) # 2nd Example # The following figure is to be # rotated about (50 -50) by -45 degrees # size2 = 3#No. of vertices # points_list2 = [[100 100] # [100 200] # [200 200]] # rotate(points_list2 size2 50 -50 -45) 

// Javascript program to rotate an object by // a given angle about a given point const SIN = (x) => Math.sin(x * Math.PI / 180); const COS = (x) => Math.cos(x * Math.PI / 180); function rotate(a n x_pivot y_pivot angle) {  let i = 0;  while (i < n) {  // Shifting the pivot point to the origin  // and the given points accordingly  const x_shifted = a[i][0] - x_pivot;  const y_shifted = a[i][1] - y_pivot;  // Calculating the rotated point co-ordinates  // and shifting it back  a[i][0] = x_pivot + (x_shifted * COS(angle) - y_shifted * SIN(angle));  a[i][1] = y_pivot + (x_shifted * SIN(angle) + y_shifted * COS(angle));  console.log(`(${a[i][0]} ${a[i][1]}) `);  i++;  } } // Driver Code // 1st Example // The following figure is to be // rotated about (0 0) by 90 degrees const size1 = 4; // No. of vertices // Vertex co-ordinates must be in order const points_list1 = [[ 100 100]  [ 150 200]  [ 200 200]  [ 200 150]]; rotate(points_list1 size1 0 0 90); // 2nd Example // The following figure is to be // rotated about (50 -50) by -45 degrees // const size2 = 3; // No. of vertices // const points_list2 = [[100 100] // [100 200] // [200 200]]; // rotate(points_list2 size2 50 -50 -45); 

// C# Program to rotate an object by // a given angle about a given point using System;    class rotation  {   // Function to rotate the given points   // about the pivot point by angle   static void rotate(double[] a int n   int x_pivot int y_pivot int angle)   {   int i = 0;   while (i < n)   {   // Shifting the pivot point to the origin   // and the given points accordingly   int x_shifted = (int)a[i 0] - x_pivot;   int y_shifted = (int)a[i 1] - y_pivot;     // Calculating the rotated point co-ordinates   // and shifting it back   double x = Math.PI * angle / 180.0;   a[i 0] = x_pivot + (x_shifted *   Math.Cos(x) - y_shifted *   Math.Sin(x));   a[i 1] = y_pivot + (x_shifted *   Math.Sin(x) + y_shifted *   Math.Cos(x));   Console.Write('({0} {1}) '   a[i 0] a[i 1]);   i++;   }   }     // Driver Code   public static void Main(String[] args)   {   // 1st Example   // The following figure is to be   // rotated about (0 0) by 90 degrees   int size1 = 4; // No. of vertices     // Vertex co-ordinates must be in order   double[] points_list1 = { { 100 100 }   { 150 200 }   { 200 200 }   { 200 150 } };   rotate(points_list1 size1 0 0 90);     // 2nd Example   // The following figure is to be   // rotated about (50 -50) by -45 degrees   /*int size2 = 3;//No. of vertices   double[] points_list2 = { { 100 100 }   { 100 200 }   { 200 200 } };   rotate(points_list2 size2 50 -50 -45);*/   }  }