Bugs in af.approx1()
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Assessment
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Newbie friendliness
- 30/100
Research direction
Start by running the linked reproduction code and examining af.approx1 with af.INTERP.CUBIC and af.INTERP.CUBIC_SPLINE. Compare the observed convergence rates and error floor with SciPy's interp1d; done means identifying and correcting the interpolation behavior so the expected convergence and accuracy are restored.
Written by the indexing model from the issue text.
Description
Convergence checks performed on the ArrayFire routines for interpolation seem to indicate a few mistakes:
The following plot is generated using af.INTERP.CUBIC
The order of convergence comes out to be 
, while the expected convergence rate is 
. I checked with af.INTERP.CUBIC_SPLINE as well. Even in that case the order of convergence comes out to be 
Another issue is the fact that the error doesn't drop below 1e-7. The SciPy interpolation function interp1d using cubic interpolation gives this:
For your reference - this is the code I'd used to generate the plots.
Also regarding issue #130 - I've realised that the mistake was on my part. I should have added the off-set in the indexing to the normalized interpolant points.
- Dominant language
- Python
- Stars
- 422
- Forks
- 63
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