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unify the two definitions of generate_balls; rename to metric_ball
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@ -75,45 +75,31 @@ end
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#
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#
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# Misc
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# Misc
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#
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#
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###############################################################################
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function generate_balls(S::AbstractVector{T}, Id::T=one(parent(first(S)));
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@doc doc"""
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radius=2, op=*) where T<:GroupElem
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gens(G::AbstractFPGroups)
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> returns vector of generators of `G`, as its elements.
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"""
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AbstractAlgebra.gens(G::AbstractFPGroup) = G.(G.gens)
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@doc doc"""
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metric_ball(S::Vector{GroupElem}, center=Id; radius=2, op=*)
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Compute metric ball as a list of elements of non-decreasing length, given the
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word-length metric on group generated by `S`. The ball is centered at `center`
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(by default: the identity element). `radius` and `op` keywords specify the
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radius and multiplication operation to be used.
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"""
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function generate_balls(S::AbstractVector{T}, center::T=one(first(S));
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radius=2, op=*) where T<:Union{GroupElem, NCRingElem}
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sizes = Int[]
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sizes = Int[]
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B = [Id]
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B = [one(first(S))]
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for i in 1:radius
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for i in 1:radius
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BB = [op(i,j) for (i,j) in Base.product(B,S)]
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BB = [op(i,j) for (i,j) in Base.product(B,S)]
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B = unique([B; vec(BB)])
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B = unique([B; vec(BB)])
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push!(sizes, length(B))
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push!(sizes, length(B))
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end
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end
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return B, sizes
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isone(center) && return B, sizes
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return c.*B, sizes
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end
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end
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function generate_balls(S::AbstractVector{T}, Id::T=one(parent(first(S)));
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radius=2, op=*) where {T<:NCRingElem}
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sizes = Int[]
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B = [Id]
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for i in 1:radius
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BB = [op(i,j) for (i,j) in Base.product(B,S)]
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B = unique([B; vec(BB)])
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push!(sizes, length(B))
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end
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return B, sizes
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end
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########### iteration for GFField
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length(F::AbstractAlgebra.GFField) = order(F)
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function iterate(F::AbstractAlgebra.GFField, s=0)
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if s >= order(F)
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return nothing
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else
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return F(s), s+1
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end
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end
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eltype(::Type{AbstractAlgebra.GFField{I}}) where I = AbstractAlgebra.gfelem{I}
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end # of module Groups
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end # of module Groups
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