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Project.toml

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name = "DecomposingPolynomialSystems"
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uuid = "f22b1612-9f73-4f98-889e-ed5396e1a4da"
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authors = ["Viktor Korotynskiy <korotynskiy.viktor@gmail.com> and contributors"]
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version = "1.0.0-DEV"
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version = "1.0.0"
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[deps]
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AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"

README.md

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# DecomposingPolynomialSystems.jl
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[![BasedOn](https://img.shields.io/badge/Based%20On%20-%20HomotopyContinuation.jl%20-%20brightgreen?color=%23B22222%09)](https://www.juliahomotopycontinuation.org/)
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[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://multivariatepolynomialsystems.github.io/DecomposingPolynomialSystems.jl/dev)
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DecomposingPolynomialSystems.jl is a Julia package that computes the symmetries that fix the parameters (specifically, the group of deck transformations) of a parametric polynomial system with finitely many solutions with a view towards decomposing the given polynomial system.

src/DecomposingPolynomialSystems.jl

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using HomotopyContinuation.ModelKit
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export @var, Variable, Expression, System
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# Exports for testing
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# export degree
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using SparseArrays: SparseVector, SparseMatrixCSC, spzeros, AbstractSparseVector, findnz, sparse
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using Combinatorics: partitions, multiset_permutations, combinations
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using LinearAlgebra: nullspace

src/deck_transformations.jl

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logging::Bool=false
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)
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if length(F.deck_permutations) == 1 # trivial group of symmetries
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if length(deck_permutations(F)) == 1 # trivial group of symmetries
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return DeckTransformationGroup(F)
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end
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scalings = _scalings_commuting_with_deck(F, scaling_symmetries(F))
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scalings = param_dep ? scalings : restrict_scalings(scalings, unknowns(F)) # TODO: justify!
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if isempty(scalings.grading)
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if isempty(grading(scalings))
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logging && printstyled("Running dense version...\n", color=:green)
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return symmetries_fixing_parameters_dense!(
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F;
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logging && printstyled("Running graded version...\n", color=:green)
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return symmetries_fixing_parameters_graded!(
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F,
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scalings;
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grading(scalings);
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degree_bound=degree_bound,
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tols=tols,
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logging=logging

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