Move Orbit related functions to OrbitDecomposition.jl
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Orb_AutFN.jl
23
Orb_AutFN.jl
@ -31,29 +31,6 @@ sparsify{T}(U::AbstractArray{T}, eps=eps(T)) = sparsify!(deepcopy(U), eps)
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small_to_zero!{T}(A::AbstractArray{T}, eps=eps(T)) = A[abs(A) .< eps] = zero(T)
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small_to_zero!{T}(A::AbstractArray{T}, eps=eps(T)) = A[abs(A) .< eps] = zero(T)
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function orbit_spvector(vect::AbstractVector, orbits)
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orb_vector = spzeros(length(orbits))
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for (i,o) in enumerate(orbits)
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k = vect[collect(o)]
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val = k[1]
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@assert all(k .== val)
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orb_vector[i] = val
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end
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return orb_vector
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end
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function orbit_constraint(cnstrs::Vector{Vector{Vector{Int64}}}, n)
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result = spzeros(n,n)
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for cnstr in cnstrs
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for p in cnstr
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result[p[1],p[2]] += 1.0
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end
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end
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return 1/length(cnstrs)*result
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end
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function init_model(Uπs)
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function init_model(Uπs)
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m = JuMP.Model();
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m = JuMP.Model();
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l = size(Uπs,1)
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l = size(Uπs,1)
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@ -65,6 +65,11 @@ function (p::Nemo.perm)(A::Nemo.MatElem)
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return R(Nemo.matrix_repr(p))*A*R(Nemo.matrix_repr(inv_p))
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return R(Nemo.matrix_repr(p))*A*R(Nemo.matrix_repr(inv_p))
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end
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end
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###############################################################################
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#
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# Orbit stuff
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#
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###############################################################################
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function orbit_decomposition(G::Nemo.Group, E::Vector, rdict=GroupRings.reverse_dict(E))
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function orbit_decomposition(G::Nemo.Group, E::Vector, rdict=GroupRings.reverse_dict(E))
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@ -88,11 +93,27 @@ function orbit_decomposition(G::Nemo.Group, E::Vector, rdict=GroupRings.reverse_
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return orbits
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return orbits
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end
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end
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function orbit_spvector(vect::AbstractVector, orbits)
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orb_vector = spzeros(length(orbits))
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for (i,o) in enumerate(orbits)
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k = vect[collect(o)]
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val = k[1]
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@assert all(k .== val)
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orb_vector[i] = val
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end
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return orb_vector
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end
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end
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function orbit_constraint(cnstrs::Vector{Vector{Vector{Int64}}}, n)
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result = spzeros(n,n)
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for cnstr in cnstrs
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for p in cnstr
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result[p[1],p[2]] += 1.0
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end
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end
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end
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return 1/length(cnstrs)*result
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end
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end
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###############################################################################
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###############################################################################
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