115 lines
2.4 KiB
Julia
115 lines
2.4 KiB
Julia
using JuMP
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using SCS
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export Settings, OrbitData
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struct OrbitData{T<:AbstractArray{Float64, 2}}
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orbits::Vector{Vector{Int}}
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Uπs::Vector{T}
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dims::Vector{Int}
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end
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function OrbitData(sett::Settings)
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info("Loading Uπs, dims, orbits...")
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Uπs = load(filename(prepath(sett), :Uπs), "Uπs")
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nzros = [i for i in 1:length(Uπs) if size(Uπs[i],2) !=0]
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Uπs = Uπs[nzros]
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Uπs = map(x -> sparsify!(x, sett.tol/100, verbose=true), Uπs)
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#dimensions of the corresponding πs:
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dims = load(filename(prepath(sett), :Uπs), "dims")[nzros]
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orbits = load(filename(prepath(sett), :orbits), "orbits");
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return OrbitData(orbits, Uπs, dims)
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end
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include("OrbitDecomposition.jl")
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end
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end
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end
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end
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preps = load_preps(filename(prepath(sett), :preps), sett.autS)
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end
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function load_preps(fname::String, G::Group)
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lded_preps = load(fname, "perms_d")
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permG = PermutationGroup(length(first(lded_preps)))
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@assert length(lded_preps) == order(G)
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return Dict(k=>permG(v) for (k,v) in zip(elements(G), lded_preps))
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end
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function save_preps(fname::String, preps)
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autS = parent(first(keys(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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###############################################################################
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#
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# Sparsification
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#
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###############################################################################
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dens(M::SparseMatrixCSC) = nnz(M)/length(M)
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dens(M::AbstractArray) = countnz(M)/length(M)
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function sparsify!{Tv,Ti}(M::SparseMatrixCSC{Tv,Ti}, eps=eps(Tv); verbose=false)
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densM = dens(M)
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for i in eachindex(M.nzval)
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if abs(M.nzval[i]) < eps
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M.nzval[i] = zero(Tv)
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end
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end
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dropzeros!(M)
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if verbose
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info("Sparsified density:", rpad(densM, 20), " → ", rpad(dens(M), 20), " ($(nnz(M)) non-zeros)")
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end
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return M
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end
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function sparsify!{T}(M::AbstractArray{T}, eps=eps(T); verbose=false)
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densM = dens(M)
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if verbose
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info("Sparsifying $(size(M))-matrix... ")
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end
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for n in eachindex(M)
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if abs(M[n]) < eps
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M[n] = zero(T)
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end
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end
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if verbose
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info("$(rpad(densM, 20)) → $(rpad(dens(M),20))), ($(countnz(M)) non-zeros)")
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end
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return sparse(M)
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end
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sparsify{T}(U::AbstractArray{T}, tol=eps(T); verbose=false) = sparsify!(deepcopy(U), tol, verbose=verbose)
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