Rotate array clockwise
I have a two dimensional array that I need to rotate 90 degrees clockwise, however I keep getting arrayindexoutofbounds...
public int[][] rotateArray(int[][] arr) {
// first change the dimensions vertical length
// for horizontal length and vice versa
int[][] newArray = new int[arr[0].length][arr.length];
// invert values 90 degrees clockwise by starting
// from button of array to top and from left to right
int ii = 0;
int jj = 0;
for (int i = 0; i < arr[0].length; i++) {
for (int j = arr.length - 1; j >= 0; j--) {
newArray[ii][jj] = arr[i][j];
jj++;
}
ii++;
}
return newArray;
}
开发者_C百科
Here's a standard matrix clockwise rotation code:
static int[][] rotateCW(int[][] mat) {
final int M = mat.length;
final int N = mat[0].length;
int[][] ret = new int[N][M];
for (int r = 0; r < M; r++) {
for (int c = 0; c < N; c++) {
ret[c][M-1-r] = mat[r][c];
}
}
return ret;
}
Note a few things:
- It improves readability to refer to the dimensions of a MxN matrix as
M
andN
- It's traditional to use
r, c
instead ofi, j
to index row and column of a matrix - This is not the most robust implementation:
- Does not ensure that
mat
is a valid MxN matrix,M>0, N>0
- Does not ensure that
- Use an explicit mapping formula instead of extraneous local variables
- Makes program less complex and more readable
Here's a test harness:
import java.util.Arrays;
//...
static void printMatrix(int[][] mat) {
System.out.println("Matrix = ");
for (int[] row : mat) {
System.out.println(Arrays.toString(row));
}
}
public static void main(String[] args){
int[][] mat = {
{ 1, 2, 3 },
{ 4, 5, 6 }
};
printMatrix(mat);
// Matrix =
// [1, 2, 3]
// [4, 5, 6]
int[][] matCW = rotateCW(mat);
printMatrix(matCW);
// Matrix =
// [4, 1]
// [5, 2]
// [6, 3]
}
Note the use of the for-each loop and java.util.Arrays
in printMatrix
. You should definitely familiarize yourself with them if you're working with arrays a lot in Java.
Links to Java matrix libraries
If you're working with matrices a lot, you may want to consider using a specialized matrix library instead.
- JAMA: http://math.nist.gov/javanumerics/jama/
- UJMP: http://www.ujmp.org/
Related questions
Technically, Java has array of arrays. Make sure you understand all the implications.
- Performance comparison of array of arrays vs multidimensional arrays
- Java
Arrays.equals()
returnsfalse
for two dimensional arrays.
I don't understand your loops' logic -- shouldn't it be
for (int i = 0; i < arr[0].length; i++) {
for (int j = arr.length - 1; j >= 0; j--) {
newArray[i][j] = arr[j][i];
}
}
Net of whether each index goes up, like i
here, or down, like j
here (and of whether either or both need to be "flipped" in the assignment, e.g using arr.length-1-j
in lieu of plain j
on one side of the =
in the assignment;-), since arr
dimensions are arr.length
by arr[0].length
, and vice versa for newArray
, it seems to me that the first index on arr
(second on newArray
) must be the one spanning the range from 0 to arr.length-1
included, and the other range for the other index.
This is a kind of "basic dimensional analysis" (except that "dimension" is used in a different sense than normally goes with "dimensional analysis" which refers to physical dimensions, i.e., time, mass, length, &c;-). The issue of "flipping" and having each loop go up or down depend on visualizing exactly what you mean and I'm not the greatest "mental visualizer" so I think, in real life, I'd try the various variants of this "axis transposition" until I hit the one that's meant;-).
jj++
is run i*j
times, and that can't be good at all.
Try to reset jj
in the outer loop.
Solution for generic objects:
public static <T> T[][] rotateArray90clockwise(Class<T> clas, T[][] array) {
T[][] target = (T[][]) java.lang.reflect.Array.newInstance(
clas, array[0].length, array.length);
for (int i = 0; i < target.length; i++) {
for (int j = 0; j < target[i].length; j++) {
target[i][j] = array[(target[i].length - 1) - j][i];
}
}
return target;
}
usage:
rotateArray90clockwise(Some.class,array);
static int[][] rotateClockwise(int[][] matrix) {
int rowNum = matrix.length;
int colNum = matrix[0].length;
int[][] temp = new int[rowNum][colNum];
for (int i = 0; i < rowNum; i++) {
for (int j = 0; j < colNum; j++) {
temp[i][j] = matrix[rowNum - j - 1][i];
}
}
return temp;
}
public class RotateMatrix {
static int index_of_rows;
static int index_of_columns;
static int number_of_rows;
static int number_of_columns;
public static void main(String[] args) {
int[][] matrix={{1 ,2 ,3 ,4 ,5 },
{6 ,7 ,8 ,9 ,10},
{11,12,13,14,15},
{16,17,18,19,20},
{21,22,23,24,25}};
index_of_rows = matrix.length -1;
index_of_columns = matrix[0].length -1;
number_of_rows = matrix.length;
number_of_columns = matrix[0].length;
RotateMatrix rm = new RotateMatrix();
rm.printGrid(matrix);//before rotation
rm.rotate360CW(matrix,rm);
}
public int[][] rotate90CW(int[][] matrix, RotateMatrix rm) {
int[][] newMatrix = new int[number_of_rows][number_of_columns];
int totalNumber = (number_of_rows) * (number_of_columns);
int[] intArray = createSingleArray(matrix,totalNumber);
int a =0;
// kept index from out-of-bounds error; mod to:
// number_of_columns-1
// number_of_rows-1
for(int c=number_of_columns-1; c>=0; c--) {
for(int r=0; r<=number_of_rows-1; r++) {
newMatrix[r][c] = intArray[a];
a++;
}
}
rm.printGrid(newMatrix);
return newMatrix;
}
public int[] createSingleArray(int[][] matrix, int totalNumber) {
int a=0;
int[] intArray = new int[totalNumber];
for(int b=0;b<=index_of_rows; b++) {
for(int c=0; c<=index_of_columns;c++) {
intArray[a] = matrix[b][c];
a++;
}
}
return intArray;
}
public void printGrid(int[][] matrix) {
StringBuilder sb = new StringBuilder("--------------------------");
for(int i =0; i<=index_of_rows; i++) {
System.out.println(sb.toString());//print each row
sb.delete(0, sb.length());//Then clear the row and build the next
for(int j=0; j<=index_of_columns;j++) {
sb.append(matrix[i][j]+",");
}
}
System.out.println(sb.toString());
}
public int[][] rotate180CW(int[][] matrix, RotateMatrix rm) {
return rm.rotate90CW(rm.rotate90CW(matrix, rm), rm);
}
public int[][] rotate270CW(int[][] matrix, RotateMatrix rm) {
return rm.rotate90CW(rm.rotate90CW(rm.rotate90CW(matrix, rm), rm),rm);
}
public int[][] rotate360CW(int[][] matrix, RotateMatrix rm) {
return rm.rotate90CW(rm.rotate90CW(rm.rotate90CW(rm.rotate90CW(matrix, rm),
rm),rm),rm);
}
}
I completely understand that this question has nothing to do with Swift, but here's some verbose Swift 4:
func clockwise(num:Int, square:[[Int]]) -> [[Int]] {
var s = square
if num == 0 {
return s
}
for x in 0...(square.count - 1) {
for y in 0...(square.count - 1) {
s[x][y] = square[(square.count - 1) - y][x]
}
}
return clockwise(num: num - 1, square: s)
}
func counterClockwise(num:Int, square:[[Int]]) -> [[Int]] {
var s = square
if num == 0 {
return s
}
for x in 0...(square.count - 1) {
for y in 0...(square.count - 1) {
s[x][y] = square[y][(square.count - 1) - x]
}
}
return counterClockwise(num: num - 1, square: s)
}
This thread or whatever popped up when I searched for the question in Swift.
Steps to Rotate a matrix clockwise or Anti-Clockwise:
- Take Transpose of Given Matrix
- Swap columns vertical (if you want Clockwise Rotation) (OR)
Swap Columns Horizontal (if You want Anti-Clockwise Rotation)
Program For Clockwise Rotation:
//Program For Clockwise Rotation
import java.util.Scanner;
public class ClockWiseRotation {
public static void main(String[] args) {
int i, j, sw, n = 4;
int a[][] = new int[6][6];
int b[][] = new int[6][6];
System.out.println("Enter the elements for matrix\n");
Scanner input = new Scanner(System.in);
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
a[i][j] = input.nextInt();
}
}
System.out.println("The Matrix\n");
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
System.out.print(a[i][j] + "\t");
}
System.out.println("\n");
}
System.out.println("Transformation of given matrix\n");
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
b[i][j] = a[j][i];
}
}
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
System.out.print(b[i][j] + "\t");
}
System.out.println("\n");
}
System.out.println("Clockwise Rotation of given matrix\n");
for (i = 0; i < n / 2; i++) {
for (j = 0; j < n; j++) {
sw = b[j][i];
b[j][i] = b[j][n - 1 - i];
b[j][n - 1 - i] = sw;
}
System.out.println("\n");
}
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
System.out.print(b[i][j] + "\t");
}
System.out.println("\n");
}
}
}
Program For Anti-Clockwise Rotation
//Anti-Clockwise Rotation
import java.util.Scanner;
public class Anti_ClockWiseRotation {
public static void main(String[] args) {
int i, j, sw, n = 6;
int a[][] = new int[6][6];
int b[][] = new int[6][6];
System.out.println("Enter the elements for matrix\n");
Scanner input = new Scanner(System.in);
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
a[i][j] = input.nextInt();
}
}
System.out.println("The Matrix\n");
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
System.out.print(a[i][j] + "\t");
}
System.out.println("\n");
}
System.out.println("Transformation of given matrix\n");
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
b[i][j] = a[j][i];
}
}
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
System.out.print(b[i][j] + "\t");
}
System.out.println("\n");
}
System.out.println("Anti-Clockwise Rotation of given matrix\n");
for (i = 0; i < n; i++) {
for (j = 0; j < n / 2; j++) {
sw = b[j][i];
b[j][i] = b[n - 1 - j][i];
b[n - 1 - j][i] = sw;
}
System.out.println("\n");
}
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
System.out.print(b[i][j] + "\t");
}
System.out.println("\n");
}
}
}
n
= Number of rows or Number of Columns
Where We can change the n
, The above are worked only for square Matrix
Tested and Worked Well
Here my verified solution:
public int[][] rotateImage(int[][] a) {
int colLenght = a[0].length;
int rowLength = a.length;
int[][] r = new int[rowLength][colLenght];
for (int i = 0; i < a.length; i++) {
for (int j = a.length - 1, rc = 0; j >= 0 && rc < a.length; j--, rc++) {
r[i][rc] = a[j][i];
}
}
return r;
}
int[] a = new int[]{10, 20, 30, 40, 50};
int temp = a[a.length - 1];
for (int i = a.length - 1; i > 0; i--) {
a[i] = a[i - 1];
}
for (int i = 0; i < a.length; i++) {
a[0] = temp;
System.out.println("" + a[i]);
}
public class Sample {
/**
* @param args
*/
public static void main(String[] args) {
// TODO Auto-generated method stub
int mat[][] = { { 1, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 }, { 10, 11, 12 } };
printMatrix(mat);
int antiClockwiseMatrix[][] = rotateAntiClockwiseMatrix(mat);
printMatrix(antiClockwiseMatrix);
int clockwiseMatrix[][] = rotateClockwiseMatrix(mat);
printMatrix(clockwiseMatrix);
// rotateAntiMatrix(mat);
}
public static void printMatrix(int mat[][]) {
for (int i = 0; i < mat.length; i++) {
for (int j = 0; j < mat[0].length; j++) {
System.out.print(mat[i][j] + "\t");
}
System.out.print("\n");
}
System.out.print("\n");
}
static public int[][] rotateAntiClockwiseMatrix(int mat[][]) {
int rows = mat.length;
int cols = mat[0].length;
int newMat[][] = new int[cols][rows];
for (int i = 0; i < rows; i++) {
for (int j = 0; j < cols; j++) {
newMat[j][i] = mat[i][j];
}
}
return newMat;
}
static public int[][] rotateClockwiseMatrix(int mat[][]) {
int newMat[][] = rotateAntiClockwiseMatrix(mat);
int finMat[][] = new int[newMat.length][newMat[0].length];
for (int i = 0; i < newMat.length; i++) {
int n = 0;
for (int j = newMat[0].length - 1; j >= 0; j--) {
finMat[i][n] = newMat[i][j];
n++;
}
}
return finMat;
}
}
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