mirror of
https://github.com/kalmarek/PropertyT.jl.git
synced 2024-12-24 18:10:29 +01:00
remove references to logger!
This commit is contained in:
parent
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commit
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9
REQUIRE
9
REQUIRE
@ -1,9 +1,8 @@
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julia
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JuMP 0.18.0
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SCS
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IntervalArithmetic
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JLD
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Memento
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AbstractAlgebra
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Groups
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GroupRings
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IntervalArithmetic
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JuMP 0.18.0
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JLD
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SCS
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@ -43,56 +43,52 @@ function augIdproj(Q::AbstractArray{T,2}) where {T<:Real}
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return R
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end
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function augIdproj(Q::AbstractArray{T,2}, logger) where {T<:Real}
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info(logger, "Projecting columns of Q to the augmentation ideal...")
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@logtime logger Q = augIdproj(Q)
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info(logger, "Checking that sum of every column contains 0.0... ")
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check = all([zero(T) in sum(view(Q, :, i)) for i in 1:size(Q, 2)])
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info(logger, (check? "They do." : "FAILED!"))
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@assert check
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return Q
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end
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function distance_to_cone(Δ::GroupRingElem, λ, Q; wlen::Int=4, logger=getlogger())
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info(logger, "------------------------------------------------------------")
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info(logger, "Checking in floating-point arithmetic...")
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info(logger, "λ = $λ")
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@logtime logger sos = compute_SOS(parent(Δ), Q)
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function distance_to_cone(Δ::GroupRingElem, λ, Q; wlen::Int=4)
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info("------------------------------------------------------------")
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info("Checking in floating-point arithmetic...")
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info("λ = $λ")
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@time sos = compute_SOS(parent(Δ), Q)
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residue = Δ^2-λ*Δ - sos
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info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ≈ $(@sprintf("%.10f", aug(residue)))")
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info("ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ≈ $(@sprintf("%.10f", aug(residue)))")
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L1_norm = norm(residue,1)
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info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ≈ $(@sprintf("%.10f", L1_norm))")
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info("‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ≈ $(@sprintf("%.10f", L1_norm))")
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distance = λ - 2^(wlen-1)*L1_norm
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info(logger, "Floating point distance (to positive cone) ≈")
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info(logger, "$(@sprintf("%.10f", distance))")
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info(logger, "")
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info("Floating point distance (to positive cone) ≈")
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info("$(@sprintf("%.10f", distance))")
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info("")
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if distance ≤ 0
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return distance
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end
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info("------------------------------------------------------------")
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info("Checking in interval arithmetic...")
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info("λ ∈ $λ")
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λ = @interval(λ)
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eoi = Δ^2 - λ*Δ
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Q = augIdproj(Q, logger)
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info("Projecting columns of Q to the augmentation ideal...")
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T = eltype(Q)
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@time Q = augIdproj(Q)
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info(logger, "------------------------------------------------------------")
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info(logger, "Checking in interval arithmetic...")
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info(logger, "λ ∈ $λ")
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@logtime logger sos = compute_SOS(parent(Δ), Q)
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info("Checking that sum of every column contains 0.0... ")
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check = all([zero(T) in sum(view(Q, :, i)) for i in 1:size(Q, 2)])
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info((check? "They do." : "FAILED!"))
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@assert check
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@time sos = compute_SOS(parent(Δ), Q)
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residue = Δ^2-λ*Δ - sos
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info(logger, "ɛ(∑ξᵢ*ξᵢ) ∈ $(aug(residue))")
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info("ɛ(∑ξᵢ*ξᵢ) ∈ $(aug(residue))")
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L1_norm = norm(residue,1)
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info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ∈ $(L1_norm)")
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info("‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ∈ $(L1_norm)")
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distance = λ - 2^(wlen-1)*L1_norm
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info(logger, "The Augmentation-projected distance (to positive cone) ∈")
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info(logger, "$(distance)")
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info(logger, "")
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info("The Augmentation-projected distance (to positive cone) ∈")
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info("$(distance)")
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info("")
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return distance.lo
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end
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@ -14,7 +14,6 @@ immutable Settings{T<:AbstractMathProgSolver}
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upper_bound::Float64
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tol::Float64
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warmstart::Bool
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logger
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end
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prefix(s::Settings) = s.name
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@ -167,8 +166,8 @@ function init_model(n, sizes)
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end
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function create_SDP_problem(sett::Settings)
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info(sett.logger, "Loading orbit data....")
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@logtime sett.logger SDP_problem, orb_data = OrbitData(sett);
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info("Loading orbit data....")
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@time SDP_problem, orb_data = OrbitData(sett);
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if sett.upper_bound < Inf
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λ = JuMP.getvariable(SDP_problem, :λ)
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@ -176,8 +175,8 @@ function create_SDP_problem(sett::Settings)
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end
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t = length(orb_data.laplacian)
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info(sett.logger, "Adding $t constraints ... ")
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@logtime sett.logger addconstraints!(SDP_problem, orb_data)
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info("Adding $t constraints ... ")
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@time addconstraints!(SDP_problem, orb_data)
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return SDP_problem, orb_data
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end
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@ -190,14 +189,14 @@ function λandP(m::JuMP.Model, data::OrbitData, warmstart=true)
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end
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function λandP(m::JuMP.Model, data::OrbitData, sett::Settings)
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info(sett.logger, "Solving SDP problem...")
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@logtime sett.logger λ, Ps = λandP(m, data, sett.warmstart)
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info("Solving SDP problem...")
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@time λ, Ps = λandP(m, data, sett.warmstart)
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info(sett.logger, "Reconstructing P...")
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info("Reconstructing P...")
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preps = load_preps(filename(prepath(sett), :preps), sett.autS)
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@logtime sett.logger recP = reconstruct_sol(preps, data.Us, Ps, data.dims)
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@time recP = reconstruct_sol(preps, data.Us, Ps, data.dims)
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fname = filename(fullpath(sett), :P)
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save(fname, "origP", Ps, "P", recP)
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@ -223,7 +222,7 @@ function check_property_T(sett::Settings)
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files_exists = ex.([:pm, :Δ, :Uπs, :orb, :preps])
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if !all(files_exists)
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compute_orbit_data(sett.logger, prepath(sett), sett.S, sett.autS, radius=sett.radius)
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compute_orbit_data(prepath(sett), sett.S, sett.autS, radius=sett.radius)
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end
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cond1 = exists(filename(fullpath(sett), :λ))
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@ -232,21 +231,21 @@ function check_property_T(sett::Settings)
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if !sett.warmstart && cond1 && cond2
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λ, P = λandP(fullpath(sett))
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else
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info(sett.logger, "Creating SDP problem...")
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info("Creating SDP problem...")
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SDP_problem, orb_data = create_SDP_problem(sett)
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JuMP.setsolver(SDP_problem, sett.solver)
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info(sett.logger, Base.repr(SDP_problem))
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info(Base.repr(SDP_problem))
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λ, P = λandP(SDP_problem, orb_data, sett)
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end
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info(sett.logger, "λ = $λ")
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info(sett.logger, "sum(P) = $(sum(P))")
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info(sett.logger, "maximum(P) = $(maximum(P))")
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info(sett.logger, "minimum(P) = $(minimum(P))")
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info("λ = $λ")
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info("sum(P) = $(sum(P))")
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info("maximum(P) = $(maximum(P))")
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info("minimum(P) = $(minimum(P))")
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isapprox(eigvals(P), abs.(eigvals(P)), atol=sett.tol) ||
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warn("The solution matrix doesn't seem to be positive definite!")
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return interpret_results(sett.name, sett.S, sett.radius, λ, P, sett.logger)
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return interpret_results(sett.name, sett.S, sett.radius, λ, P)
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end
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@ -128,51 +128,51 @@ function orthSVD{T}(M::AbstractMatrix{T})
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return fact[:U][:,1:M_rank]
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end
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function compute_orbit_data{T<:GroupElem}(logger, name::String, S::Vector{T}, autS::Group; radius=2)
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function compute_orbit_data{T<:GroupElem}(name::String, S::Vector{T}, autS::Group; radius=2)
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isdir(name) || mkdir(name)
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info(logger, "Generating ball of radius $(2*radius)")
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info("Generating ball of radius $(2*radius)")
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# TODO: Fix that by multiple dispatch?
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G = parent(first(S))
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Id = (isa(G, Ring) ? one(G) : G())
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@logtime logger E_2R, sizes = Groups.generate_balls(S, Id, radius=2*radius);
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info(logger, "Balls of sizes $sizes.")
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info(logger, "Reverse dict")
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@logtime logger E_rdict = GroupRings.reverse_dict(E_2R)
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@time E_2R, sizes = Groups.generate_balls(S, Id, radius=2*radius);
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info("Balls of sizes $sizes.")
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info("Reverse dict")
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@time E_rdict = GroupRings.reverse_dict(E_2R)
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info(logger, "Product matrix")
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@logtime logger pm = GroupRings.create_pm(E_2R, E_rdict, sizes[radius], twisted=true)
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info("Product matrix")
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@time pm = GroupRings.create_pm(E_2R, E_rdict, sizes[radius], twisted=true)
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RG = GroupRing(G, E_2R, E_rdict, pm)
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Δ = PropertyT.spLaplacian(RG, S)
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@assert GroupRings.aug(Δ) == 0
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save(filename(name, :Δ), "Δ", Δ.coeffs)
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save(filename(name, :pm), "pm", pm)
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info(logger, "Decomposing E into orbits of $(autS)")
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@logtime logger orbs = orbit_decomposition(autS, E_2R, E_rdict)
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info("Decomposing E into orbits of $(autS)")
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@time orbs = orbit_decomposition(autS, E_2R, E_rdict)
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@assert sum(length(o) for o in orbs) == length(E_2R)
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info(logger, "E consists of $(length(orbs)) orbits!")
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info("E consists of $(length(orbs)) orbits!")
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save(joinpath(name, "orbits.jld"), "orbits", orbs)
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info(logger, "Action matrices")
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@logtime logger reps = perm_reps(autS, E_2R[1:sizes[radius]], E_rdict)
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info("Action matrices")
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@time reps = perm_reps(autS, E_2R[1:sizes[radius]], E_rdict)
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save_preps(filename(name, :preps), reps)
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reps = matrix_reps(reps)
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info(logger, "Projections")
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@logtime logger autS_mps = Projections.rankOne_projections(GroupRing(autS));
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info("Projections")
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@time autS_mps = Projections.rankOne_projections(GroupRing(autS));
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@logtime logger π_E_projections = [Cstar_repr(p, reps) for p in autS_mps]
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@time π_E_projections = [Cstar_repr(p, reps) for p in autS_mps]
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info(logger, "Uπs...")
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@logtime logger Uπs = orthSVD.(π_E_projections)
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info("Uπs...")
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@time Uπs = orthSVD.(π_E_projections)
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multiplicities = size.(Uπs,2)
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info(logger, "multiplicities = $multiplicities")
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info("multiplicities = $multiplicities")
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dimensions = [Int(p[autS()]*Int(order(autS))) for p in autS_mps];
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info(logger, "dimensions = $dimensions")
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info("dimensions = $dimensions")
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@assert dot(multiplicities, dimensions) == sizes[radius]
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save(joinpath(name, "U_pis.jld"),
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115
src/PropertyT.jl
115
src/PropertyT.jl
@ -1,3 +1,4 @@
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__precompile__()
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module PropertyT
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using AbstractAlgebra
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@ -10,55 +11,6 @@ using JLD
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using JuMP
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using MathProgBase
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using Memento
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function setup_logging(name::String, handlername::Symbol)
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isdir(name) || mkdir(name)
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logger = Memento.config!("info", fmt="{date}| {msg}")
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handler = DefaultHandler(filename(name, Symbol(handlername)), DefaultFormatter("{date}| {msg}"))
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logger.handlers[String(handlername)] = handler
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return logger
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end
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macro logtime(logger, ex)
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quote
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local stats = Base.gc_num()
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local elapsedtime = Base.time_ns()
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local val = $(esc(ex))
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elapsedtime = Base.time_ns() - elapsedtime
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local diff = Base.GC_Diff(Base.gc_num(), stats)
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local ts = time_string(elapsedtime, diff.allocd, diff.total_time,
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Base.gc_alloc_count(diff))
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$(esc(info))($(esc(logger)), ts)
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val
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end
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end
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function time_string(elapsedtime, bytes, gctime, allocs)
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str = @sprintf("%10.6f seconds", elapsedtime/1e9)
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if bytes != 0 || allocs != 0
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bytes, mb = Base.prettyprint_getunits(bytes, length(Base._mem_units), Int64(1024))
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allocs, ma = Base.prettyprint_getunits(allocs, length(Base._cnt_units), Int64(1000))
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if ma == 1
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str*= @sprintf(" (%d%s allocation%s: ", allocs, Base._cnt_units[ma], allocs==1 ? "" : "s")
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else
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str*= @sprintf(" (%.2f%s allocations: ", allocs, Base._cnt_units[ma])
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end
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if mb == 1
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str*= @sprintf("%d %s%s", bytes, Base._mem_units[mb], bytes==1 ? "" : "s")
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else
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str*= @sprintf("%.3f %s", bytes, Base._mem_units[mb])
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end
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if gctime > 0
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str*= @sprintf(", %.2f%% gc time", 100*gctime/elapsedtime)
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end
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str*=")"
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elseif gctime > 0
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str*= @sprintf(", %.2f%% gc time", 100*gctime/elapsedtime)
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end
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return str
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end
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exists(fname::String) = isfile(fname) || islink(fname)
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filename(prefix, s::Symbol) = filename(prefix, Val{s})
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@ -92,15 +44,14 @@ function Laplacian(name::String, G::Group)
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return Δ
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end
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function Laplacian{T<:GroupElem}(S::Vector{T}, Id::T,
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logger=getlogger(); radius::Int=2)
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function Laplacian{T<:GroupElem}(S::Vector{T}, Id::T; radius::Int=2)
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info(logger, "Generating metric ball of radius $radius...")
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@logtime logger E_R, sizes = Groups.generate_balls(S, Id, radius=2*radius)
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info(logger, "Generated balls of sizes $sizes.")
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info("Generating metric ball of radius $radius...")
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@time E_R, sizes = Groups.generate_balls(S, Id, radius=2*radius)
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info("Generated balls of sizes $sizes.")
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info(logger, "Creating product matrix...")
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@logtime logger pm = GroupRings.create_pm(E_R, GroupRings.reverse_dict(E_R), sizes[radius]; twisted=true)
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info("Creating product matrix...")
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@time pm = GroupRings.create_pm(E_R, GroupRings.reverse_dict(E_R), sizes[radius]; twisted=true)
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RG = GroupRing(parent(Id), E_R, pm)
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@ -155,15 +106,14 @@ Kazhdan(λ::Number,N::Integer) = sqrt(2*λ/N)
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function check_property_T(name::String, S, Id, solver, upper_bound, tol, radius, warm::Bool=false)
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isdir(name) || mkdir(name)
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logger = Memento.getlogger()
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if exists(filename(name, :pm)) && exists(filename(name, :Δ))
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# cached
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info(logger, "Loading precomputed Δ...")
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info("Loading precomputed Δ...")
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Δ = Laplacian(name, parent(S[1]))
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else
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# compute
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Δ = Laplacian(S, Id, logger, radius=radius)
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Δ = Laplacian(S, Id, radius=radius)
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save(filename(name, :pm), "pm", parent(Δ).pm)
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save(filename(name, :Δ), "Δ", Δ.coeffs)
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end
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@ -171,48 +121,61 @@ function check_property_T(name::String, S, Id, solver, upper_bound, tol, radius,
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fullpath = joinpath(name, string(upper_bound))
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isdir(fullpath) || mkdir(fullpath)
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cond1 = exists(filename(fullpath, :λ))
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cond2 = exists(filename(fullpath, :P))
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files_exist = exists(filename(fullpath, :λ)) && exists(filename(fullpath, :P))
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if !(warm) && cond1 && cond2
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info(logger, "Loading precomputed λ, P...")
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if !(warm) && files_exist
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info("Loading precomputed λ, P...")
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λ, P = λandP(fullpath)
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else
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info(logger, "Creating SDP problem...")
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info("Creating SDP problem...")
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SDP_problem, varλ, varP = create_SDP_problem(Δ, constraints(parent(Δ).pm), upper_bound=upper_bound)
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JuMP.setsolver(SDP_problem, solver)
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info(logger, Base.repr(SDP_problem))
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info(Base.repr(SDP_problem))
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@logtime logger λ, P = λandP(fullpath, SDP_problem, varλ, varP)
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if warm && isfile(filename(name, :warm))
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ws = load(filename(name, :warm), "warmstart")
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else
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ws = nothing
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end
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@time λ, P, ws = λandP(SDP_problem, varλ, varP, warmstart=ws, solverlog=filename(name, :solverlog))
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if λ > 0
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save(filename(name, :λ), "λ", λ)
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save(filename(name, :P), "P", P)
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save(filename(name, :warm), "warmstart", ws)
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else
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throw(ErrorException("Solver did not produce a valid solution: λ = $λ"))
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end
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end
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info(logger, "λ = $λ")
|
||||
info(logger, "sum(P) = $(sum(P))")
|
||||
info(logger, "maximum(P) = $(maximum(P))")
|
||||
info(logger, "minimum(P) = $(minimum(P))")
|
||||
info("λ = $λ")
|
||||
info("sum(P) = $(sum(P))")
|
||||
info("maximum(P) = $(maximum(P))")
|
||||
info("minimum(P) = $(minimum(P))")
|
||||
|
||||
isapprox(eigvals(P), abs.(eigvals(P)), atol=tol) ||
|
||||
warn("The solution matrix doesn't seem to be positive definite!")
|
||||
|
||||
return interpret_results(name, S, radius, λ, P, logger)
|
||||
return interpret_results(name, S, radius, λ, P)
|
||||
end
|
||||
|
||||
function interpret_results(name, S, radius, λ, P, logger)
|
||||
function interpret_results(name, S, radius, λ, P)
|
||||
|
||||
RG = GroupRing(parent(first(S)), load(filename(name, :pm), "pm"))
|
||||
Δ = GroupRingElem(load(filename(name, :Δ), "Δ")[:, 1], RG)
|
||||
@logtime logger Q = real(sqrtm(Symmetric(P)))
|
||||
@time Q = real(sqrtm(Symmetric(P)))
|
||||
|
||||
sgap = distance_to_cone(Δ, λ, Q, wlen=2*radius, logger=logger)
|
||||
sgap = distance_to_cone(Δ, λ, Q, wlen=2*radius)
|
||||
|
||||
if sgap > 0
|
||||
Kazhdan_κ = Kazhdan(sgap, length(S))
|
||||
if Kazhdan_κ > 0
|
||||
info(logger, "κ($name, S) ≥ $Kazhdan_κ: Group HAS property (T)!")
|
||||
info("κ($name, S) ≥ $Kazhdan_κ: Group HAS property (T)!")
|
||||
return true
|
||||
end
|
||||
end
|
||||
info(logger, "λ($name, S) ≥ $sgap < 0: Tells us nothing about property (T)")
|
||||
info("λ($name, S) ≥ $sgap < 0: Tells us nothing about property (T)")
|
||||
return false
|
||||
end
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user