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https://github.com/kalmarek/PropertyT.jl.git
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replace radius by halfradius where appropriate
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f2311fa975
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@ -12,7 +12,7 @@ struct Naive{El} <: Settings
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name::String
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G::Group
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S::Vector{El}
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radius::Int
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halfradius::Int
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upper_bound::Float64
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solver::JuMP.OptimizerFactory
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@ -24,7 +24,7 @@ struct Symmetrized{El} <: Settings
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G::Group
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S::Vector{El}
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autS::Group
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radius::Int
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halfradius::Int
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upper_bound::Float64
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solver::JuMP.OptimizerFactory
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@ -33,14 +33,14 @@ end
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function Settings(name::String,
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G::Group, S::Vector{<:GroupElem}, solver::JuMP.OptimizerFactory;
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radius::Integer=2, upper_bound::Float64=1.0, warmstart=true)
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return Naive(name, G, S, radius, upper_bound, solver, warmstart)
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halfradius::Integer=2, upper_bound::Float64=1.0, warmstart=true)
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return Naive(name, G, S, halfradius, upper_bound, solver, warmstart)
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end
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function Settings(name::String,
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G::Group, S::Vector{<:GroupElem}, autS::Group, solver::JuMP.OptimizerFactory;
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radius::Integer=2, upper_bound::Float64=1.0, warmstart=true)
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return Symmetrized(name, G, S, autS, radius, upper_bound, solver, warmstart)
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halfradius::Integer=2, upper_bound::Float64=1.0, warmstart=true)
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return Symmetrized(name, G, S, autS, halfradius, upper_bound, solver, warmstart)
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end
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prefix(s::Naive) = s.name
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@ -245,7 +245,7 @@ function print_summary(sett::Settings)
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separator = "="^76
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info_strs = [separator,
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"Running tests for $(sett.name):",
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"Upper bound for λ: $(sett.upper_bound), on radius $(sett.radius).",
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"Upper bound for λ: $(sett.upper_bound), on halfradius $(sett.halfradius).",
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"Warmstart: $(sett.warmstart)",
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"Results will be stored in ./$(PropertyT.prepath(sett))",
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"Solver: $(typeof(sett.solver()))",
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@ -279,7 +279,7 @@ function spectral_gap(sett::Settings)
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loadGRElem(filename(sett,:Δ), sett.G)
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catch
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# compute
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Δ = Laplacian(sett.S, sett.radius)
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Δ = Laplacian(sett.S, sett.halfradius)
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saveGRElem(filename(sett, :Δ), Δ)
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Δ
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end
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@ -307,7 +307,7 @@ function spectral_gap(sett::Settings)
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@warn "The solution matrix doesn't seem to be positive definite!"
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@time Q = real(sqrt(Symmetric( (P.+ P')./2 )))
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certified_sgap = spectral_gap(Δ, λ, Q, R=sett.radius)
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certified_sgap = spectral_gap(Δ, λ, Q, R=sett.halfradius)
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return certified_sgap
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end
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@ -22,24 +22,24 @@ function spLaplacian(RG::GroupRing, S::Vector{REl}, T::Type=Float64) where {REl<
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return result
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end
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function Laplacian(S::Vector{E}, radius) where E<:AbstractAlgebra.ModuleElem
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function Laplacian(S::Vector{E}, halfradius) where E<:AbstractAlgebra.ModuleElem
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R = parent(first(S))
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return Laplacian(S, one(R), radius)
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return Laplacian(S, one(R), halfradius)
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end
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function Laplacian(S::Vector{E}, radius) where E<:AbstractAlgebra.GroupElem
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function Laplacian(S::Vector{E}, halfradius) where E<:AbstractAlgebra.GroupElem
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G = parent(first(S))
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return Laplacian(S, G(), radius)
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return Laplacian(S, G(), halfradius)
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end
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function Laplacian(S, Id, radius)
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@info "Generating metric ball of radius" radius=2radius
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@time E_R, sizes = Groups.generate_balls(S, Id, radius=2radius)
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function Laplacian(S, Id, halfradius)
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@info "Generating metric ball of radius" radius=2halfradius
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@time E_R, sizes = Groups.generate_balls(S, Id, radius=2halfradius)
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@info "Generated balls:" sizes
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@info "Creating product matrix..."
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rdict = GroupRings.reverse_dict(E_R)
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@time pm = GroupRings.create_pm(E_R, rdict, sizes[radius]; twisted=true)
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@time pm = GroupRings.create_pm(E_R, rdict, sizes[halfradius]; twisted=true)
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RG = GroupRing(parent(Id), E_R, rdict, pm)
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Δ = spLaplacian(RG, S)
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