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https://github.com/kalmarek/PropertyT.jl.git
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single definition o check_property_T
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@ -149,54 +149,15 @@ function save_preps(fname::String, preps)
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save(fname, "perms_d", [preps[elt].d for elt in elements(autS)])
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end
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function check_property_T(sett::Settings)
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ex(s::Symbol) = exists(filename(prepath(sett), s))
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if ex(:pm) && ex(:Δ)
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# cached
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Δ = loadLaplacian(prepath(sett), parent(sett.S[1]))
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else
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# compute
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Δ = computeLaplacian(sett.S, sett.radius)
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save(filename(prepath(sett), :pm), "pm", parent(Δ).pm)
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save(filename(prepath(sett), :Δ), "Δ", Δ.coeffs)
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end
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files_exist = ex.([:Uπs, :orbits, :preps])
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if !all(files_exist)
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compute_orbit_data(prepath(sett), parent(Δ), sett.autS)
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end
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files_exist = exists(filename(fullpath(sett), :λ)) &&
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exists(filename(fullpath(sett), :P))
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if !sett.warmstart && files_exist
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λ, P = loadλandP(fullpath(sett))
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else
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warmfile = filename(fullpath(sett), :warm)
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if sett.warmstart && exists(warmfile)
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ws = load(warmfile, "warmstart")
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else
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ws = nothing
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end
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λ, P, ws = computeλandP(Δ, sett, ws,
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solverlog=filename(fullpath(sett), :solverlog))
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saveλandP(fullpath(sett), λ, P, ws)
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if λ < 0
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warn("Solver did not produce a valid solution!")
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end
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end
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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, Δ, sett.radius, length(sett.S), λ, P)
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end
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@ -18,6 +18,8 @@ import MathProgBase.SolverInterface.AbstractMathProgSolver
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#
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###############################################################################
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struct Symmetrize end
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struct Naive end
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mutable struct Settings{Gr<:Group, GEl<:GroupElem, Sol<:AbstractMathProgSolver}
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name::String
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@ -78,16 +80,6 @@ exists(fname::String) = isfile(fname) || islink(fname)
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Kazhdan(λ::Number,N::Integer) = sqrt(2*λ/N)
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function check_property_T(name::String, S, solver, upper_bound, tol, radius, warm::Bool=false)
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if exists(filename(name, :pm)) && exists(filename(name, :Δ))
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# cached
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Δ = loadLaplacian(name, parent(S[1]))
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else
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# compute
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Δ = computeLaplacian(S, 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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filename(prefix, s::Symbol) = filename(prefix, Val{s})
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@eval begin
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@ -108,38 +100,57 @@ filename(prefix, s::Symbol) = filename(prefix, Val{s})
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end
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end
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fullpath = joinpath(name, string(upper_bound))
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isdir(fullpath) || mkdir(fullpath)
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for T in [:Naive, :Symmetrize]
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@eval begin
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function check_property_T(::Type{$T}, sett::Settings)
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files_exist = exists(filename(fullpath, :λ)) && exists(filename(fullpath, :P))
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if exists(filename(prepath(sett),:pm)) &&
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exists(filename(prepath(sett),:Δ))
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# cached
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Δ = loadLaplacian(prepath(sett), parent(sett.S[1]))
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else
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# compute
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Δ = computeLaplacian(sett.S, sett.radius)
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save(filename(prepath(sett), :pm), "pm", parent(Δ).pm)
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save(filename(prepath(sett), :Δ), "Δ", Δ.coeffs)
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end
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if !(warm) && files_exist
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λ, P = loadλandP(fullpath)
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else
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warmfile = filename(fullpath, :warm)
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if warm && isfile(warmfile)
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ws = load(warmfile, "warmstart")
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else
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ws = nothing
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end
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files_exist = exists(filename(fullpath(sett), :λ)) &&
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exists(filename(fullpath(sett), :P))
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λ, P, ws = computeλandP(Δ, upper_bound, solver, ws,
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solverlog=filename(fullpath, :solverlog))
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saveλandP(fullpath, λ, P, ws)
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if λ < 0
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warn("Solver did not produce a valid solution!")
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if !sett.warmstart && files_exist
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λ, P = loadλandP(fullpath(sett))
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else
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warmfile = filename(fullpath(sett), :warm)
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if sett.warmstart && exists(warmfile)
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ws = load(warmfile, "warmstart")
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else
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ws = nothing
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end
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λ, P, ws = computeλandP($T, Δ, sett,
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solverlog=filename(fullpath(sett), :solverlog))
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saveλandP(fullpath(sett), λ, P, ws)
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if λ < 0
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warn("Solver did not produce a valid solution!")
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end
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end
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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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@time Q = real(sqrtm((P+P')/2))
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sgap = distance_to_cone(Δ, λ, Q, wlen=2*sett.radius)
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return interpret_results(sett, sgap)
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end
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end
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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=tol) ||
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warn("The solution matrix doesn't seem to be positive definite!")
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return interpret_results(name, Δ, radius,length(S), λ, P)
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end
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function interpret_results(name::String, Δ::GroupRingElem, radius::Integer, length_S::Integer, λ::AbstractFloat, P)
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