tiling(tiling_fn, window_width, data_seq)

tiling(fn, width, data; padding=nopadding)
tiling(fn, width, data; padding, atend=false)

tiling a function over windowed data repeatedly applies that function to each adjacent data subsequence that the moving window provides. The length of each subsequence is given by the width of the window.

The function is applied as if it gathers the data spanned and consumes it all at once. The function is one that summarizes, condeneses, abstracts, characterizes, or explores contiguous subsequences shown by the moving window.

While the window is fully contained within the data, each step (one tile) increments the indices of the current window: (start:finish) ↦ (start+width:finish+width) == (finish+1:finish+width). When advancing the window would carry the end of the window beyond the end of the data, tiling is complete.

With N data values and a window of width W (W<=N), the result from tiling will have no more than div(N, W) values. There will be rem(N, W) left over (untiled) values. Using the keyword padding, will pad the first or final (atend=true) return value when rem(N, W) != 0.

arguments

• fn::Function: summarizes, condenses windowed data
• width::Integer: window breadth, counts covered elements.
• data::Vector: the data over which the window moves.

keywords

• padding::Any=nopadding: the value place as filler.
• atend::Bool=false: where to place the padding.

using tiling

See also: rolling, running padding, atend, weighs, datastreams