avoid ZeroDivision and LinAlgError for single datapoint - Githubissues

uqfoundation / mystic

constrained nonlinear optimization for scientific machine learning, UQ, and AI

http://mystic.rtfd.io

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avoid ZeroDivision and LinAlgError for single datapoint #231

Closed mmckerns closed 9 months ago

mmckerns commented 9 months ago

Summary

when interpolating with a single datapoint, epsilon should not throw a ZeroDivisionError. then, the interpolations should succeed if:

the interpolation function is non-zero at r=0
the interpolation function is zero at r=0, and smooth is non-zero

Improves on #230

Checklist

Documentation and Tests

[x] Added relevant tests that run with python tests/__main__.py, and pass.
[x] Added relevant documentation that builds in sphinx without error.
[x] Artifacts produced with the main branch work as expected under this PR.

Release Management

[x] Added a comment to issue #NNN, linking back to this PR.
[x] Added rationale for any breakage of backwards compatibility.