movingWindowIndex

movingWindowIndex(X, window, [fixed=false])

Returns the elements of X within a sliding window.

X is a vector (including tuple and array vector).

window is an integer no less than 2 indicating the window size.

fixed is a Boolean value, indicating whether the length of each row in the output array vector is fixed to be window. The default value is false. When fixed = true, all rows are of the same length. For the first (window - 1) windows, the indices of missing elements are filled with null values.

Return an array vector indicating the indices of the elements of X within each sliding window.

S = 1 2 3 4 5 6 7 8 9 0;
m = movingWindowIndex(X=S,window=3);
m;
// output: [[0],[0,1],[0,1,2],[1,2,3],[2,3,4],[3,4,5],[4,5,6],[5,6,7],[6,7,8],[7,8,9]]

mi = movingWindowIndex(X=S,window=3,fixed=true);
mi;
// output: [[,,0],[,0,1],[0,1,2],[1,2,3],[2,3,4],[3,4,5],[4,5,6],[5,6,7],[6,7,8],[7,8,9]]

// obtain the first element from each window
S[m[0]]
// output: [1,1,1,2,3,4,5,6,7,8]

S[mi[0]]
// output: [,,1,2,3,4,5,6,7,8]


s = [[-1,1], [0], [3], [5,6], [7], [8,9], [10,13]]
m = movingWindowIndex(X=s,window=3);
m;
// output: [[0], [0,1], [0,1,2], [1,2,3], [2,3,4], [3,4,5], [4,5,6]]