JuliaApproximation / JuliaApproximation/ContinuumArrays.jl

Split out transform from factorize

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Dominant language
Julia
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31
Forks
6
Avg merge
9d 22h
Merged PRs (30d)
2

Description

At the moment factorize plays the role of both a transform (a Plan) and a coordinate transformation. But sometimes its convenient to work directly with transforms. For example, at the moment I'm trying to do the analogue of fft(randn(3,3,3), 1) for a Chebyshev() basis but factorizations are inherently matrix/vec.

My plan is to add an extra function plan_transform(basis, array, dim) to support this functionality.

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Research direction

Start by tracing how factorize currently serves both as a Plan transform and a coordinate transformation, then examine the Chebyshev() use case described by the fft(randn(3,3,3), 1) analogue. Done means a plan_transform(basis, array, dim) entry point supports direct transforms without requiring the matrix/vec form inherent to factorizations.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
backend-api-design
Issue type
Feature
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
38/100

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