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rename to AlgebraicInterpolation + add DecomposingGroupRepresentations dep
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‎.github/workflows/CI.yml‎

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shell: julia --project=docs --color=yes {0}
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run: |
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using Documenter: DocMeta, doctest
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using MultivariateInterpolation
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DocMeta.setdocmeta!(MultivariateInterpolation, :DocTestSetup, :(using MultivariateInterpolation); recursive=true)
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doctest(MultivariateInterpolation)
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using AlgebraicInterpolation
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DocMeta.setdocmeta!(AlgebraicInterpolation, :DocTestSetup, :(using AlgebraicInterpolation); recursive=true)
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doctest(AlgebraicInterpolation)

‎.github/workflows/TagBot.yml‎

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workflow_dispatch:
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inputs:
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lookback:
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default: 3
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default: "3"
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permissions:
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actions: read
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checks: read

‎Project.toml‎

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name = "MultivariateInterpolation"
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name = "AlgebraicInterpolation"
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uuid = "ecbe6ef4-d24e-415b-8de2-e861e2a17b74"
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authors = ["Viktor Korotynskiy <[email protected]> and contributors"]
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version = "1.0.0-DEV"
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[deps]
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AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
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Combinatorics = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
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DecomposingGroupRepresentations = "3934549d-b4b9-4a85-8fa6-9c281fbf1a3e"
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HomotopyContinuation = "f213a82b-91d6-5c5d-acf7-10f1c761b327"
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LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
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SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
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[compat]
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AbstractAlgebra = "0.44.11"
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DecomposingGroupRepresentations = "0.1.0"
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HomotopyContinuation = "2.13.0"
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julia = "1.10"

‎README.md‎

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# MultivariateInterpolation.jl
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# AlgebraicInterpolation.jl
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[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://multivariatepolynomialsystems.github.io/MultivariateInterpolation.jl/dev)
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[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://multivariatepolynomialsystems.github.io/AlgebraicInterpolation.jl/dev)
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MultivariateInterpolation.jl is a Julia package that provides methods for interpolating sparse and dense multivariate polynomial and rational functions from samples taken either from an algebraic variety or an affine space.
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AlgebraicInterpolation.jl is a Julia package that provides methods for interpolating sparse and dense multivariate polynomial and rational functions from samples taken either from an algebraic variety or an affine space.
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## Installation
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Enter the Pkg REPL by pressing `]` from the Julia REPL and then type
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```julia
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add https://github.com/MultivariatePolynomialSystems/MultivariateInterpolation.jl.git
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add https://github.com/MultivariatePolynomialSystems/AlgebraicInterpolation.jl.git
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```
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To get back to the Julia REPL, press backspace.
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‎docs/Project.toml‎

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[deps]
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Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
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MultivariateInterpolation = "ecbe6ef4-d24e-415b-8de2-e861e2a17b74"
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AlgebraicInterpolation = "ecbe6ef4-d24e-415b-8de2-e861e2a17b74"

‎docs/make.jl‎

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push!(LOAD_PATH,"../src/")
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using MultivariateInterpolation
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using AlgebraicInterpolation
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using Documenter
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DocMeta.setdocmeta!(MultivariateInterpolation, :DocTestSetup, :(using MultivariateInterpolation); recursive=true)
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DocMeta.setdocmeta!(AlgebraicInterpolation, :DocTestSetup, :(using AlgebraicInterpolation); recursive=true)
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makedocs(;
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modules=[MultivariateInterpolation],
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modules=[AlgebraicInterpolation],
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authors="Viktor Korotynskiy <[email protected]> and contributors",
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repo="https://github.com/MultivariatePolynomialSystems/MultivariateInterpolation.jl/blob/{commit}{path}#{line}",
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sitename="MultivariateInterpolation.jl",
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repo="https://github.com/MultivariatePolynomialSystems/AlgebraicInterpolation.jl/blob/{commit}{path}#{line}",
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sitename="AlgebraicInterpolation.jl",
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format=Documenter.HTML(;
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prettyurls=get(ENV, "CI", "false") == "true",
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canonical="https://multivariatepolynomialsystems.github.io/MultivariateInterpolation.jl",
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canonical="https://multivariatepolynomialsystems.github.io/AlgebraicInterpolation.jl",
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edit_link="main",
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assets=["assets/custom.css"],
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collapselevel=2
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)
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deploydocs(;
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repo="github.com/MultivariatePolynomialSystems/MultivariateInterpolation.jl.git",
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repo="github.com/MultivariatePolynomialSystems/AlgebraicInterpolation.jl.git",
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devbranch="main",
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)

‎docs/src/index.md‎

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# Introduction
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MultivariateInterpolation.jl is a Julia package that provides methods for interpolating sparse and dense multivariate polynomial and rational functions from samples taken either from an algebraic variety or an affine space.
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AlgebraicInterpolation.jl is a Julia package that provides methods for interpolating sparse and dense multivariate polynomial and rational functions from samples taken either from an algebraic variety or an affine space.
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## Quick start
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```@repl
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using MultivariateInterpolation
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using AlgebraicInterpolation
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@var R[1:3,1:3] t[1:3] E[1:3,1:3]
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X = AlgebraicVariety([R'*R-I, det(R)-1]; variables=[R, t]);
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tₓ = [0 -t[3] t[2]; t[3] 0 -t[1]; -t[2] t[1] 0] # skew-symmetric matrix
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Γ = MapGraph(φ)
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```
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## Contents
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## Contents
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‎src/MultivariateInterpolation.jl‎ renamed to ‎src/AlgebraicInterpolation.jl‎

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module MultivariateInterpolation
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module AlgebraicInterpolation
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import HomotopyContinuation
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const HC = HomotopyContinuation
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include("on_varieties/expression_map.jl")
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include("on_varieties/varieties/map_graph.jl")
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# 5. Lie Symmetries
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# 5.1. Weights
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include("on_varieties/lie-symmetries/weights.jl")
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# 5.2. Lie algebras
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include("on_varieties/lie-symmetries/lie-algebras/algebras.jl")
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include("on_varieties/lie-symmetries/lie-algebras/elements.jl")
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include("on_varieties/lie-symmetries/lie-algebras/actions.jl")
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# 5.3. Lie algebra representations
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include("on_varieties/lie-symmetries/lie-reprs/vector-space.jl")
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include("on_varieties/lie-symmetries/lie-reprs/irreducible.jl")
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include("on_varieties/lie-symmetries/lie-reprs/isotypic.jl")
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include("on_varieties/lie-symmetries/lie-reprs/representation.jl")
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# 5.4. Scaling symmetries
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include("on_varieties/lie-symmetries/scalings.jl")
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# 5. Scaling symmetries
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include("on_varieties/scalings.jl")
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# 6. Interpolation
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include("on_varieties/interpolation.jl")

‎src/on_varieties/lie-symmetries/lie-algebras/actions.jl‎

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