Program to Print Mirror Image of Sine-Wave Pattern

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A sine wave is a mathematical curve that oscillates between a maximum and minimum value, smoothly transitioning between positive and negative values. It is commonly used to represent periodic phenomena such as sound, light, and electrical signals.

Examples: Give the Height and Width of a Wave to print the pattern.

Input : wave_height=5
        wave_length=10
Output :

>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>
  >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>  
    >>        >>        >>        >>        >>        >>        >>        >>        >>        >>    
  >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>  
>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach

First, check the row and column where the elements are needed to be printed. Then, use nested for loops to print the elements in the corresponding order. Separate loops are kept to keep track of the wave_height and wave_length.

Java

// Java program to print Mirror
// Image of sign wave pattern.
class GFG
{
// Function to print Mirror
// Image of sign wave pattern
static void printWave(int wave_height,
                      int wave_length)
{
    // for loop for height of wave
    for (int i = 1;
             i <= wave_height; i++) 
    {
        // for loop for wave length
        for (int j = 1; 
                 j <= wave_length; j++)
        {
            // intermediate spaces
            for (int k = 1; 
                     k <= wave_height; k++) 
            {
 
                if (i == k || i + k == wave_height + 1) 
                {
                    // put any symbol
                    System.out.printf(">>");
                }
                else {
                    System.out.printf(" " + " ");
                }
            }
        }
        System.out.printf("\n");
    }
}
 
// Driver code
public static void main(String[] args)
{
    int wave_height = 5;
    int wave_length = 10;
    printWave(wave_height, wave_length);
}
}
 
// This code is contributed 
// by Smitha

Python3

# Python3 program to prMirror
# Image of sign wave pattern.
 
# Function to prMirror Image
# of sign wave pattern
def printWave(wave_height, wave_length):
 
    # for loop for height of wave
    for i in range(1, wave_height + 1, 1):
 
        # for loop for wave length
        for j in range(1, wave_length + 1, 1):
 
            # intermediate spaces
            for k in range(1, wave_height + 1, 1):
 
                if (i == k or
                    i + k == wave_height + 1):
         
                    # put any symbol
                    print(">>", end = "");
 
                else:
                    print(" ", end = " ");
 
        print();
 
# Driver code
if __name__ == '__main__':
    wave_height = 5;
    wave_length = 10;
    printWave(wave_height, wave_length);
 
# This code is contributed by PrinciRaj1992 

C#

// C# program to print Mirror 
// Image of sign wave pattern. 
using System;
class GFG 
{ 
// Function to print Mirror 
// Image of sign wave pattern 
static void printWave(int wave_height, 
                    int wave_length) 
{ 
    // for loop for height of wave 
    for (int i = 1; 
            i <= wave_height; i++) 
    { 
        // for loop for wave length 
        for (int j = 1; 
                j <= wave_length; j++) 
        { 
            // intermediate spaces 
            for (int k = 1; 
                    k <= wave_height; k++) 
            { 
 
                if (i == k || i + k == wave_height + 1) 
                { 
                    // put any symbol 
                    Console.Write(">>"); 
                } 
                else { 
                    Console.Write(" " + " "); 
                } 
            } 
        } 
    Console.Write("\n"); 
    } 
} 
 
// Driver code 
public static void Main() 
{ 
    int wave_height = 5; 
    int wave_length = 10; 
    printWave(wave_height, wave_length); 
} 
} 
 
// This code is contributed 
// by Smitha 

Javascript

<script>
 
// JavaScript program to print Mirror Image of sign wave pattern.
 
// Function to print Mirror Image of sign wave pattern
function printWave(wave_height, wave_length)
{
 
    // for loop for height of wave
    for (let i = 1; i <= wave_height; i++) {
 
        // for loop for wave length
        for (let j = 1; j <= wave_length; j++)
        {
            // intermediate spaces
            for (let k = 1; k <= wave_height; k++) {
 
                if (i == k || i + k == wave_height + 1) {
                    // put any symbol
                    document.write(">>");
                }
                else {
                    document.write(" ",' ');
                }
            }
        }
        document.write("</br>");
    }
}
 
// Driver code
let wave_height = 5;
let wave_length = 10;
printWave(wave_height, wave_length);
 
// This code is contributed by shinjanpatra
 
</script>

C++

// C program to print Mirror Image of sign wave pattern.
#include <stdio.h>
 
// Function to print Mirror Image of sign wave pattern
void printWave(int wave_height, int wave_length)
{
    // for loop for height of wave
    for (int i = 1; i <= wave_height; i++) {
 
        // for loop for wave length
        for (int j = 1; j <= wave_length; j++)
        {
            // intermediate spaces
            for (int k = 1; k <= wave_height; k++) {
 
                if (i == k || i + k == wave_height + 1) {
                    // put any symbol
                    printf(">>");
                }
                else {
                    printf(" "" ");
                }
            }
        }
        printf("\n");
    }
}
 
// Driver code
int main()
{
    int wave_height = 5;
    int wave_length = 10;
    printWave(wave_height, wave_length);
    return 0;
}

Output:

>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>
  >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>  
    >>        >>        >>        >>        >>        >>        >>        >>        >>        >>    
  >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>    >>  >>  
>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>>>      >>

Time complexity: O((wave_height²)*wave_length)

Auxiliary space: O(1)

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