patrick-kidger / patrick-kidger/diffrax

Support weakly increasing times in global interpolation routines

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feature
Dominant language
Python
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Merged PRs (30d)
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Description

At the moment all global interpolation routines require that the sequence of times be strictly increasing. In practice it's often helpful to admit weakly increasing times as well, e.g. to pad variable-length time series.

In particular this is in contrast to dense interpolation (generated by diffeqsolve(saveat=SaveAt(dense=True))) which will sometimes use weakly increasing times. (Although this is a detail that is hidden from the user.)

Operations that need addressing:

  • linear_interpolation
  • rectilinear_interpolation
  • backward_hermite_coeffs

(The corresponding classes should already handle this.)

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Research direction

Start by reading the implementations of linear_interpolation, rectilinear_interpolation, and backward_hermite_coeffs, then compare their handling with the corresponding classes, which should already accept weakly increasing times. Done means these routines accept repeated adjacent times, including the variable-length time-series case, without changing strict-increasing behavior.

Written by the indexing model from the issue text.

Assessment

Tech stack
python
Domain
data
Issue type
Feature
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
48/100

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