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rework OrbitData

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kalmarek 2018-09-05 09:56:04 +02:00
parent b9de894fb1
commit bc7118f41d
2 changed files with 78 additions and 62 deletions
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111
src/Orbit-wise.jl
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@ -3,54 +3,99 @@ using SCS
export Settings, OrbitData
###############################################################################
#
# OrbitData
#
###############################################################################
struct OrbitData{T<:AbstractArray{Float64, 2}}
struct OrbitData{T<:AbstractArray{Float64, 2}, GEl<:GroupElem, P<:perm}
orbits::Vector{Vector{Int}}
preps::Dict{GEl, P}
Uπs::Vector{T}
dims::Vector{Int}
end
function OrbitData(sett::Settings)
function OrbitData(RG::GroupRing, autS::Group)
orbs = orbit_decomposition(autS, RG.basis, RG.basis_dict)
@assert sum(length(o) for o in orbs) == length(RG.basis)
autS_mps = Projections.rankOne_projections(GroupRing(autS))
preps = perm_reps(autS, RG.basis[1:size(RG.pm,1)], RG.basis_dict)
mreps = matrix_reps(preps)
Uπs = [orthSVD(matrix_repr(p, mreps)) for p in autS_mps]
multiplicities = size.(Uπs,2)
dimensions = [Int(p[autS()]*Int(order(autS))) for p in autS_mps]
@assert dot(multiplicities, dimensions) == size(RG.pm,1)
nzros = [i for i in 1:length(Uπs) if size(Uπs[i],2) !=0]
return OrbitData(orbs, preps, Uπs[nzros], dims[nzros])
end
function compute_OrbitData(RG::GroupRing, autS::Group)
info("Decomposing E into orbits of $(autS)")
@time orbs = orbit_decomposition(autS, RG.basis, RG.basis_dict)
@assert sum(length(o) for o in orbs) == length(RG.basis)
info("E consists of $(length(orbs)) orbits!")
info("Action matrices")
@time preps = perm_reps(autS, RG.basis[1:size(RG.pm,1)], RG.basis_dict)
mreps = matrix_reps(preps)
info("Projections")
@time autS_mps = Projections.rankOne_projections(GroupRing(autS));
info("Uπs...")
@time Uπs = [orthSVD(matrix_repr(p, mreps)) for p in autS_mps]
multiplicities = size.(Uπs,2)
info("multiplicities = $multiplicities")
dimensions = [Int(p[autS()]*Int(order(autS))) for p in autS_mps];
info("dimensions = $dimensions")
@assert dot(multiplicities, dimensions) == size(RG.pm,1)
return OrbitData(orbs, preps, Uπs, dimensions)
end
function decimate(od::OrbitData)
nzros = [i for i in 1:length(od.Uπs) if size(od.Uπs[i],2) !=0]
Us = map(x -> PropertyT.sparsify!(x, eps(Float64)*1e3, verbose=true), od.Uπs[nzros])
#dimensions of the corresponding πs:
dims = od.dims[nzros]
return OrbitData(od.orbits, od.preps, full.(Us), dims);
end
function save_OrbitData(sett::Settings, data::OrbitData)
save_preps(filename(prepath(sett), :preps), data.preps)
save(filename(prepath(sett), :orbits),
"orbits", data.orbits)
save(filename(prepath(sett), :Uπs),
"Uπs", data.Uπs,
"dims", data.dims)
end
function load_OrbitData(sett::Settings)
info("Loading Uπs, dims, orbits...")
Uπs = load(filename(prepath(sett), :Uπs), "Uπs")
nzros = [i for i in 1:length(Uπs) if size(Uπs[i],2) !=0]
Uπs = Uπs[nzros]
Uπs = map(x -> sparsify!(x, sett.tol/100, verbose=true), Uπs)
#dimensions of the corresponding πs:
dims = load(filename(prepath(sett), :Uπs), "dims")[nzros]
orbits = load(filename(prepath(sett), :orbits), "orbits");
return OrbitData(orbits, Uπs, dims)
end
include("OrbitDecomposition.jl")
end
end
end
end
dims = load(filename(prepath(sett), :Uπs), "dims")
orbits = load(filename(prepath(sett), :orbits), "orbits")
preps = load_preps(filename(prepath(sett), :preps), sett.autS)
return OrbitData(orbits, preps, Uπs, dims)
end
function load_preps(fname::String, G::Group)

29
src/OrbitDecomposition.jl
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@ -108,33 +108,4 @@ function orthSVD(M::AbstractMatrix{T}) where {T<:AbstractFloat}
return fact[:U][:,1:M_rank]
end
function compute_orbit_data(name::String, RG::GroupRing, autS::Group)
info("Decomposing E into orbits of $(autS)")
@time orbs = orbit_decomposition(autS, RG.basis, RG.basis_dict)
@assert sum(length(o) for o in orbs) == length(RG.basis)
info("E consists of $(length(orbs)) orbits!")
info("Action matrices")
@time preps = perm_reps(autS, RG.basis[1:size(RG.pm,1)], RG.basis_dict)
mreps = matrix_reps(preps)
info("Projections")
@time autS_mps = Projections.rankOne_projections(GroupRing(autS));
@time π_E_projections = [Cstar_repr(p, mreps) for p in autS_mps]
info("Uπs...")
@time Uπs = orthSVD.(π_E_projections)
multiplicities = size.(Uπs,2)
info("multiplicities = $multiplicities")
dimensions = [Int(p[autS()]*Int(order(autS))) for p in autS_mps];
info("dimensions = $dimensions")
@assert dot(multiplicities, dimensions) == size(RG.pm,1)
save(filename(name, :orbits), "orbits", orbs)
save_preps(filename(name, :preps), preps)
save(filename(name, :Uπs), "Uπs", Uπs, "dims", dimensions)
return 0
end