2022-9: An Average Window (or a Windowed Average)
Write a function that:
- takes a right argument Y that is a numeric scalar or non-empty vector.
- takes a left argument X that represents the number of neighboring elements on either side of each element in Y.
- returns a numeric vector or scalar where each element is the average (mean) of the corresponding element in Y and its X neighbors on either side. If an element has fewer than X neighbors on either side, replicate the first and last values as necessary to make X neighbors.
Hint: The Reduce N-Wise operator Xf/Y could help with solving this problem.
Examples:
0 (your_function) 1 2 3 4 5 6 ⍝ 0 neighbors on each side
1 2 3 4 5 6
1 (your_function) 1 2 3 4 5 6 ⍝ 1 neighbors on each side
1.333333333 2 3 4 5 5.666666667
2 (your_function) 1 2 3 4 5 6 ⍝ 2 neighbors on each side
1.6 2.2 3 4 4.8 5.4
6 (your_function) 1 2 3 4 5 6
2.538461538 2.923076923 3.307692308 3.692307692 4.076923077 4.461538462
10 (your_function) 42
42
your_function ←
Solutions
