fftpos_demo.jl

### A Pluto.jl notebook ###
# v0.17.2

using Markdown
using InteractiveUtils

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using Pkg

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Pkg.develop(path="../.")

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using Plots, FourierTools, NDTools

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x = 2π .* fftpos(1,5,3)

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f(x) = sin(x)

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collect(fftpos(1, 5, 3))

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collect(fftpos(1, 101, 51))

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collect(fftpos(1, 100, 51))

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md"
The even interpolation somehow extrapolates (!) only the left tail. the right tail
"

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plot(fftpos(1, 20, 11), circshift(resample(circshift(f.(x), -2), 20), 10))

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plot(fftpos(1, 21, 11), circshift(resample(circshift(f.(x), -2), 21), 10))

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