Add built-in interpolation scheme using Bernstein polynomials#80
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maltezfaria merged 3 commits intomainfrom Mar 12, 2026
Merged
Add built-in interpolation scheme using Bernstein polynomials#80maltezfaria merged 3 commits intomainfrom
maltezfaria merged 3 commits intomainfrom
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…ation - Add `src/interpolation.jl` with `PiecewisePolynomialInterpolation` using Bernstein basis polynomials, supporting allocation-free evaluation, gradient, and Hessian via ForwardDiff - Add `cell_extrema` and `proven_empty` for interval arithmetic-based cell screening - Remove `InterpolationsExt.jl` extension and `Interpolations.jl` dependency - Update `ReinitializationExt` to use the new built-in interpolation; improve Newton solver with backtracking and best-candidate tracking - Add interpolation docs and mass conservation example - Update tests accordingly
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## main #80 +/- ##
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- Coverage 83.29% 62.23% -21.06%
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Files 16 16
Lines 1161 1279 +118
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Instead of using a global interpolation through splines (powered by
Interpolations.jlas an extension), create an internal interpolation scheme based on piecewise polynomial interpolation. Summary of changes include:src/interpolation.jlwithPiecewisePolynomialInterpolationusing Bernstein basis polynomials, supporting allocation-free evaluation, gradient, and Hessian via ForwardDiffcell_extremaandproven_emptyfor interval arithmetic-based cell screeningInterpolationsExt.jlextension andInterpolations.jldependencyReinitializationExtto use the new built-in interpolation; improve Newton solver with backtracking and best-candidate trackingPut together with the help of copilot and Claude based on the Bernstein polynomials present in
ImplicitIntegration.jl.