rework OrbitData

src/Orbit-wise.jl

@@ -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]
+    dims = load(filename(prepath(sett), :Uπs), "dims")
-
-    orbits = load(filename(prepath(sett), :orbits), "orbits");
-
-    return OrbitData(orbits, Uπs, dims)
-end
-
-include("OrbitDecomposition.jl")
-
-
-
-end
-
-
-
-
-
-
-
-end
-
-
-
-end
-
-
-
-end
-
-
 
+    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)

src/OrbitDecomposition.jl

@@ -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