Interleave Write a function interleave to interleave two row arrays of equal length. For example for the row arrays arrayOne and arrayTwo, the output row array is arrayThree = [arrayOne(1), arrayTwo(1), arrayOne(2), arrayTwo1(2), …]. The function should work for rows of any length. Hint: Create a new array by concatinating arrayOne and arrayTwo (the details of what type of concatenation is needed, you need to determine), flatten the array, and to finally end up with the desired row array. Restrictions: You may not use a for or a while loop. For example:: arrayOne = [2, 4, 8]; arrayTwo = [3, 9, 27]; will produce arrayThree = [2, 3, 4, 9, 8, 27] Your Function Save CReset MATLAB Documentation 1 function ( arrayThree ) = interleave (arrayOne, arrayTwo) 2 3 % Your code goes here % 4 5 end
The Correct Answer and Explanation is:
Here’s the correct MATLAB function that interleaves two row arrays without using loops:
matlabCopyEditfunction arrayThree = interleave(arrayOne, arrayTwo)
% Interleave two row arrays of equal length without using loops
arrayThree = reshape([arrayOne; arrayTwo], 1, []);
end
Explanation
The goal of the interleave function is to merge two row arrays of equal length such that the elements alternate between the two arrays. For instance, given:
matlabCopyEditarrayOne = [2, 4, 8];
arrayTwo = [3, 9, 27];
We want the output to be:
matlabCopyEditarrayThree = [2, 3, 4, 9, 8, 27];
To achieve this without using for or while loops (as restricted), we take advantage of MATLAB’s array concatenation and reshaping functionalities.
Step-by-Step Breakdown:
- Concatenate Vertically:
The two input row arrays are vertically concatenated using square brackets with a semicolon: matlabCopyEdit[arrayOne; arrayTwo]This forms a 2-row matrix where the first row isarrayOneand the second isarrayTwo. For the example, it looks like this: csharpCopyEdit[2 4 8 3 9 27] - Reshape:
The matrix is then reshaped into a single row using MATLAB’sreshapefunction: matlabCopyEditreshape([arrayOne; arrayTwo], 1, [])- The
1indicates that we want a single row. - The
[]tells MATLAB to automatically compute the appropriate number of columns based on the total number of elements. - MATLAB stores matrices column-wise, so this reshaping effectively interleaves the values from the two rows.
- The
- Final Output:
The result is a 1D row array interleaving values from both input arrays.
This method is efficient and elegant because it eliminates the need for manual looping, leverages MATLAB’s built-in vectorization capabilities, and works for any row arrays of equal length.
