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Add multivariate rational interpolation#122

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wegank wants to merge 1 commit intoalgebraic-solving:mainfrom
wegank:cuyt-lee-init
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Add multivariate rational interpolation#122
wegank wants to merge 1 commit intoalgebraic-solving:mainfrom
wegank:cuyt-lee-init

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@wegank
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@wegank wegank commented Feb 12, 2026

This is a PR aimed at adding (multithreaded) multivariate polynomial and rational interpolation schemes to AlgebraicSolving.jl. The implementation follows the description in https://arxiv.org/pdf/1608.01902.

Direct applications of the interpolation schemes include computing

For now, the methods are not exposed at top-level; they can be used either with using AlgebraicSolving.Interpolation, or internally in AlgebraicSolving.jl.

@wegank wegank force-pushed the cuyt-lee-init branch 2 times, most recently from 97fee6f to 7725edc Compare February 13, 2026 15:23
@wegank wegank force-pushed the cuyt-lee-init branch 7 times, most recently from d107d78 to 3f81a9f Compare March 9, 2026 13:57
@wegank wegank changed the title [WIP] Add multivariate rational interpolation Add multivariate rational interpolation Mar 9, 2026
@wegank wegank marked this pull request as ready for review March 9, 2026 13:57
@wegank wegank force-pushed the cuyt-lee-init branch 4 times, most recently from 91bf8eb to 5f89875 Compare March 9, 2026 16:28
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⚠️ Please install the 'codecov app svg image' to ensure uploads and comments are reliably processed by Codecov.

Codecov Report

❌ Patch coverage is 84.02062% with 62 lines in your changes missing coverage. Please review.
✅ Project coverage is 83.52%. Comparing base (374e12d) to head (5f89875).
⚠️ Report is 92 commits behind head on main.

Files with missing lines Patch % Lines
src/progress/main.jl 36.84% 24 Missing ⚠️
src/interp/cuyt_lee.jl 82.81% 22 Missing ⚠️
src/interp/thiele.jl 76.66% 14 Missing ⚠️
src/interp/newton.jl 98.80% 1 Missing ⚠️
src/interp/resultant.jl 98.70% 1 Missing ⚠️
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Additional details and impacted files
@@            Coverage Diff             @@
##             main     #122      +/-   ##
==========================================
+ Coverage   83.02%   83.52%   +0.50%     
==========================================
  Files          25       32       +7     
  Lines        2610     3157     +547     
==========================================
+ Hits         2167     2637     +470     
- Misses        443      520      +77     

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@wegank wegank force-pushed the cuyt-lee-init branch 3 times, most recently from 5335103 to edcc229 Compare March 10, 2026 12:21
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2 participants