63 lines
2.0 KiB
Julia
63 lines
2.0 KiB
Julia
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"""
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wlmetric_ball(S::AbstractVector{<:GroupElem}
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[, center=one(first(S)); 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 the 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 wlmetric_ball_serial(S::AbstractVector{T}; radius = 2, op = *) where {T}
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@assert radius > 0
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old = unique!([one(first(S)), S...])
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sizes = [1, length(old)]
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for i in 2:radius
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new = collect(op(o, s) for o in @view(old[sizes[end-1]:end]) for s in S)
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append!(old, new)
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resize!(new, 0)
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old = unique!(old)
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push!(sizes, length(old))
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end
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return old, sizes[2:end]
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end
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function wlmetric_ball_thr(S::AbstractVector{T}; radius = 2, op = *) where {T}
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@assert radius > 0
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old = unique!([one(first(S)), S...])
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sizes = [1, length(old)]
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for r in 2:radius
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begin
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new =
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ThreadsX.collect(op(o, s) for o in @view(old[sizes[end-1]:end]) for s in S)
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ThreadsX.foreach(hash, new)
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end
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append!(old, new)
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resize!(new, 0)
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old = ThreadsX.unique(old)
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push!(sizes, length(old))
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end
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return old, sizes[2:end]
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end
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function wlmetric_ball_serial(S::AbstractVector{T}, center::T; radius = 2, op = *) where {T}
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E, sizes = wlmetric_ball_serial(S, radius = radius, op = op)
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isone(center) && return E, sizes
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return c .* E, sizes
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end
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function wlmetric_ball_thr(S::AbstractVector{T}, center::T; radius = 2, op = *) where {T}
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E, sizes = wlmetric_ball_thr(S, radius = radius, op = op)
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isone(center) && return E, sizes
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return c .* E, sizes
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end
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function wlmetric_ball(
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S::AbstractVector{T},
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center::T = one(first(S));
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radius = 2,
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op = *,
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threading = true,
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) where {T}
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threading && return wlmetric_ball_thr(S, center, radius = radius, op = op)
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return wlmetric_ball_serial(S, center, radius = radius, op = op)
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end
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