Mercurial > repos > public > sbplib_julia
diff src/Grids/parameter_space.jl @ 1992:ca6d898d3a38 feature/grids/parameter_spaces/in
Implement Base.in(x, ::Simplex)
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Thu, 24 Apr 2025 09:23:12 +0200 |
parents | 7ead7a87af18 |
children | 2912975ddc2f |
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--- a/src/Grids/parameter_space.jl Thu Apr 24 09:05:30 2025 +0200 +++ b/src/Grids/parameter_space.jl Thu Apr 24 09:23:12 2025 +0200 @@ -165,6 +165,26 @@ return Simplex(Tuple(convert(T,v) for v ∈ verticies)) end + +function Base.in(x, s::Simplex) + v₁ = s.verticies[1] + V = map(s.verticies) do v + v - v₁ + end + + A = hcat(V[2:end]...) # matrix with edge vectors as columns + b = x - v₁ + + # Solve Aλ = b + λ = A \ b + + # Compute full barycentric coordinates: first is 1 - sum(λ), then λ + λ_full = (1 - sum(λ), λ...) # Tuple of length NV + + all(λᵢ -> zero(λᵢ) ≤ λᵢ ≤ one(λᵢ), λ_full) +end + + """ verticies(s::Simplex)