Find if given matrix is Toeplitz or not
Here given code implementation process.
/*
C Program
+ Find if given matrix is Toeplitz or not
*/
#include<stdio.h>
#define ROW 5
#define COL 5
//Function which is check diagonal element values are similar or not
int diagonal(int matrix[ROW][COL],int start_row,int start_col)
{
int status = 1;
int element = matrix[start_row][start_col];
for (int i = start_row+1,j=start_col+1; i < ROW && j<COL; ++i,++j)
{
if(matrix[i][j]!=element)
{
return 0;
}
}
return 1;
}
//Determine whether matrix is Toeplitz matrix or not
void is_toeplitz(int matrix[ROW][COL])
{
int result=1;
for (int i = 0; i < COL && result==1; ++i)
{
//check upper triangular
result = diagonal(matrix,0,i);
}
for (int i = 1; i < ROW && result==1; ++i)
{
//check lower triangular
result = diagonal(matrix,i,0);
}
if(result==1)
{
printf("Toeplitz matrix\n");
}
else
{
printf("Not a Toeplitz matrix\n");
}
}
int main(){
int arr[ROW][COL]={
{1, 2, 3, 4, 5},
{6, 1, 2, 3, 4},
{8, 6, 1, 2, 3},
{7, 8, 6, 1, 2},
{9, 7, 8, 6, 1}
};
is_toeplitz(arr);
return 0;
}
Output
Toeplitz matrix/*
C++ Program
Find if given matrix is Toeplitz or not
*/
#include<iostream>
#define ROW 5
#define COL 5
using namespace std;
class MyMatrix {
public:
int rows;
int cols;
MyMatrix() {
//Get matrix size
this->rows = ROW;
this->cols = COL;
}
//Function which is check diagonal element values are similar or not
bool diagonal(int matrix[][COL], int start_row, int start_col) {
int status = 1;
int element = matrix[start_row][start_col];
for (int i = start_row + 1, j = start_col + 1; i < this->rows && j < this->cols; ++i, ++j) {
if (matrix[i][j] != element) {
return false;
}
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
void is_toeplitz(int matrix[][COL]) {
bool result = true;
for (int i = 0; i < this->cols && result == true; ++i) {
//check upper triangular
result = this->diagonal(matrix, 0, i);
}
for (int i = 1; i < this->rows && result == true; ++i) {
//check lower triangular
result = this->diagonal(matrix, i, 0);
}
if (result == true) {
cout << "Toeplitz matrix\n";
} else {
cout << "Not a Toeplitz matrix\n";
}
}
};
int main() {
int matrix[][COL] = {
{
1,
2,
3,
4,
5
},
{
6,
1,
2,
3,
4
},
{
8,
6,
1,
2,
3
},
{
7,
8,
6,
1,
2
},
{
9,
7,
8,
6,
1
}
};
MyMatrix obj ;
obj.is_toeplitz(matrix);
return 0;
}
Output
Toeplitz matrixusing System;
/*
C# Program
Find if given matrix is Toeplitz or not
*/
public class MyMatrix {
int rows;
int cols;
MyMatrix(int[,] matrix) {
//Get matrix size
this.rows = matrix.GetLength(0);
this.cols = matrix.GetLength(1);
}
//Function which is check diagonal element values are similar or not
public Boolean diagonal(int[,] matrix, int start_row, int start_col) {
int element = matrix[start_row,start_col];
for (int i = start_row + 1, j = start_col + 1; i < this.rows && j < this.cols; ++i, ++j) {
if (matrix[i,j] != element) {
return false;
}
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
public void is_toeplitz(int[,] matrix) {
Boolean result = true;
for (int i = 0; i < this.cols && result == true; ++i) {
//check upper triangular
result = diagonal(matrix, 0, i);
}
for (int i = 1; i < this.rows && result == true; ++i) {
//check lower triangular
result = diagonal(matrix, i, 0);
}
if (result == true) {
Console.Write("Toeplitz matrix\n");
} else {
Console.Write("Not a Toeplitz matrix\n");
}
}
public static void Main(String[] args) {
int[,]
//Define matrix element
matrix = {
{
1,
2,
3,
4,
5
},
{
6,
1,
2,
3,
4
},
{
8,
6,
1,
2,
3
},
{
7,
8,
6,
1,
2
},
{
9,
7,
8,
6,
1
}
};
MyMatrix obj = new MyMatrix(matrix);
obj.is_toeplitz(matrix);
}
}
Output
Toeplitz matrix<?php
/*
Php Program
Find if given matrix is Toeplitz or not
*/
class MyMatrix {
public $rows;
public $cols;
function __construct($matrix) {
//Get matrix size
$this->rows = count($matrix);
$this->cols = count($matrix[0]);
}
//Function which is check diagonal element values are similar or not
public function diagonal($matrix, $start_row, $start_col) {
$element = $matrix[$start_row][$start_col];
for ($i = $start_row + 1, $j = $start_col + 1; $i < $this->rows && $j < $this->cols; ++$i, ++$j) {
if ($matrix[$i][$j] != $element) {
return false;
}
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
public function is_toeplitz($matrix) {
$result = true;
for ($i = 0; $i < $this->cols && $result == true; ++$i) {
//check upper triangular
$result = $this->diagonal($matrix, 0, $i);
}
for ($i = 1; $i < $this->rows && $result == true; ++$i) {
//check lower triangular
$result = $this->diagonal($matrix, $i, 0);
}
if ($result == true) {
echo("Toeplitz matrix\n");
} else {
echo("Not a Toeplitz matrix\n");
}
}
}
function main() {
//Define matrix element
$matrix = array(array(1, 2, 3, 4, 5), array(6, 1, 2, 3, 4), array(8, 6, 1, 2, 3), array(7, 8, 6, 1, 2), array(9, 7, 8, 6, 1));
$obj = new MyMatrix($matrix);
$obj->is_toeplitz($matrix);
}
main();
Output
Toeplitz matrix/*
Node Js Program
Find if given matrix is Toeplitz or not
*/
class MyMatrix {
constructor(matrix) {
//Get matrix size
this.rows = matrix.length;
this.cols = matrix[0].length;
}
//Function which is check diagonal element values are similar or not
diagonal(matrix, start_row, start_col) {
var element = matrix[start_row][start_col];
for (var i = start_row + 1, j = start_col + 1; i < this.rows && j < this.cols; ++i, ++j) {
if (matrix[i][j] != element) {
return false;
}
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
is_toeplitz(matrix) {
var result = true;
for (var i = 0; i < this.cols && result == true; ++i) {
//check upper triangular
result = this.diagonal(matrix, 0, i);
}
for (var i = 1; i < this.rows && result == true; ++i) {
//check lower triangular
result = this.diagonal(matrix, i, 0);
}
if (result == true) {
process.stdout.write("Toeplitz matrix\n");
} else {
process.stdout.write("Not a Toeplitz matrix\n");
}
}
}
function main(args) {
//Define matrix element
var matrix = [
[1, 2, 3, 4, 5],
[6, 1, 2, 3, 4],
[8, 6, 1, 2, 3],
[7, 8, 6, 1, 2],
[9, 7, 8, 6, 1]
];
var obj = new MyMatrix(matrix);
obj.is_toeplitz(matrix);
}
main();
Output
Toeplitz matrix# Python 3 Program
# Find if given matrix is Toeplitz or not
class MyMatrix :
def __init__(self, matrix) :
# Get matrix size
self.rows = len(matrix)
self.cols = len(matrix[0])
# Function which is check diagonal element values are similar or not
def diagonal(self, matrix, start_row, start_col) :
element = matrix[start_row][start_col]
i = start_row + 1
j = start_col + 1
while (i < self.rows and j < self.cols) :
if (matrix[i][j] != element) :
return False
i += 1
j += 1
return True
# Determine whether matrix is Toeplitz matrix or not
def is_toeplitz(self, matrix) :
result = True
i = 0
while (i < self.cols and result == True) :
# check upper triangular
result = self.diagonal(matrix, 0, i)
i += 1
i = 1
while (i < self.rows and result == True) :
# check lower triangular
result = self.diagonal(matrix, i, 0)
i += 1
if (result == True) :
print("Toeplitz matrix\n", end = "")
else :
print("Not a Toeplitz matrix\n", end = "")
def main() :
matrix = [
[1, 2, 3, 4, 5],
[6, 1, 2, 3, 4],
[8, 6, 1, 2, 3],
[7, 8, 6, 1, 2],
[9, 7, 8, 6, 1]
]
obj = MyMatrix(matrix)
obj.is_toeplitz(matrix)
if __name__ == "__main__":
main()
Output
Toeplitz matrix# Ruby Program
# Find if given matrix is Toeplitz or not
class MyMatrix
# Define the accessor and reader of class MyMatrix
attr_reader :rows, :cols
attr_accessor :rows, :cols
def initialize(matrix)
# Get matrix size
self.rows = matrix.length
self.cols = matrix[0].length
end
# Function which is check diagonal element values are similar or not
def diagonal(matrix, start_row, start_col)
element = matrix[start_row][start_col]
i = start_row + 1
j = start_col + 1
while (i < self.rows && j < self.cols)
if (matrix[i][j] != element)
return false
end
i += 1
j += 1
end
return true
end
# Determine whether matrix is Toeplitz matrix or not
def is_toeplitz(matrix)
result = true
i = 0
while (i < self.cols && result == true)
# check upper triangular
result = self.diagonal(matrix, 0, i)
i += 1
end
i = 1
while (i < self.rows && result == true)
# check lower triangular
result = self.diagonal(matrix, i, 0)
i += 1
end
if (result == true)
print("Toeplitz matrix\n")
else
print("Not a Toeplitz matrix\n")
end
end
end
def main()
matrix = [
[1, 2, 3, 4, 5],
[6, 1, 2, 3, 4],
[8, 6, 1, 2, 3],
[7, 8, 6, 1, 2],
[9, 7, 8, 6, 1]
]
obj = MyMatrix.new(matrix)
obj.is_toeplitz(matrix)
end
main()
Output
Toeplitz matrix
/*
Scala Program
Find if given matrix is Toeplitz or not
*/
class MyMatrix(var rows: Int,
var cols: Int) {
def this(matrix: Array[Array[Int]]) {
//Get matrix size
this(matrix.length,matrix(0).length);
}
//Function which is check diagonal element values are similar or not
def diagonal(matrix: Array[Array[Int]], start_row: Int, start_col: Int): Boolean = {
val element: Int = matrix(start_row)(start_col);
var i: Int = start_row + 1;
var j: Int = start_col + 1;
while (i < this.rows && j < this.cols) {
if (matrix(i)(j) != element) {
return false;
}
i += 1;
j += 1;
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
def is_toeplitz(matrix: Array[Array[Int]]): Unit = {
var result: Boolean = true;
var i: Int = 0;
while (i < this.cols && result == true) {
//check upper triangular
result = this.diagonal(matrix, 0, i);
i += 1;
}
i = 1;
while (i < this.rows && result == true) {
//check lower triangular
result = this.diagonal(matrix, i, 0);
i += 1;
}
if (result == true) {
print("Toeplitz matrix\n");
} else {
print("Not a Toeplitz matrix\n");
}
}
}
object Main {
def main(args: Array[String]): Unit = {
val matrix: Array[Array[Int]] = Array(
Array(1, 2, 3, 4, 5),
Array(6, 1, 2, 3, 4),
Array(8, 6, 1, 2, 3),
Array(7, 8, 6, 1, 2),
Array(9, 7, 8, 6, 1));
val obj: MyMatrix = new MyMatrix(matrix);
obj.is_toeplitz(matrix);
}
}
Output
Toeplitz matrix/*
Swift Program
Find if given matrix is Toeplitz or not
*/
class MyMatrix {
var rows: Int;
var cols: Int;
init(_ matrix: [
[Int]
]) {
//Get matrix size
self.rows = matrix.count;
self.cols = matrix[0].count;
}
//Function which is check diagonal element values are similar or not
func diagonal(_ matrix: [
[Int]
], _ start_row: Int, _ start_col: Int) -> Bool {
let element: Int = matrix[start_row][start_col];
var i: Int = start_row + 1;
var j: Int = start_col + 1;
while (i < self.rows && j < self.cols) {
if (matrix[i][j] != element) {
return false;
}
i += 1;
j += 1;
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
func is_toeplitz(_ matrix: [
[Int]
]) {
var result: Bool = true;
var i: Int = 0;
while (i < self.cols && result == true) {
//check upper triangular
result = self.diagonal(matrix, 0, i);
i += 1;
}
i = 1;
while (i < self.rows && result == true) {
//check lower triangular
result = self.diagonal(matrix, i, 0);
i += 1;
}
if (result == true) {
print("Toeplitz matrix\n", terminator: "");
} else {
print("Not a Toeplitz matrix\n", terminator: "");
}
}
}
func main() {
let matrix: [
[Int]
] = [
[1, 2, 3, 4, 5],
[6, 1, 2, 3, 4],
[8, 6, 1, 2, 3],
[7, 8, 6, 1, 2],
[9, 7, 8, 6, 1]
];
let obj: MyMatrix = MyMatrix(matrix);
obj.is_toeplitz(matrix);
}
main();
Output
Toeplitz matrix/*
Java Program
Find if given matrix is Toeplitz or not
*/
public class MyMatrix {
public int rows;
public int cols;
public MyMatrix(int [][]matrix)
{
//Get matrix size
this.rows = matrix.length;
this.cols = matrix[0].length;
}
//Function which is check diagonal element values are similar or not
public boolean diagonal(int [][]matrix,int start_row,int start_col)
{
int element = matrix[start_row][start_col];
for (int i = start_row+1,j=start_col+1; i < this.rows && j<this.cols; ++i,++j)
{
if(matrix[i][j]!=element)
{
return false;
}
}
return true;
}
// Determine whether matrix is Toeplitz matrix or not
public void is_toeplitz(int [][]matrix)
{
boolean result=true;
for (int i = 0; i < this.cols && result==true; ++i)
{
//check upper triangular
result=diagonal(matrix,0,i);
}
for (int i = 1; i < this.rows && result==true; ++i)
{
//check lower triangular
result=diagonal(matrix,i,0);
}
if(result==true)
{
System.out.print("Toeplitz matrix\n");
}
else
{
System.out.print("Not a Toeplitz matrix\n");
}
}
public static void main(String[] args)
{
//Define matrix element
int [][]matrix ={
{1, 2, 3, 4, 5},
{6, 1, 2, 3, 4},
{8, 6, 1, 2, 3},
{7, 8, 6, 1, 2},
{9, 7, 8, 6, 1}
};
MyMatrix obj = new MyMatrix(matrix);
obj.is_toeplitz(matrix);
}
}
Output
Toeplitz matrix
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