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favour append! and prepend! in place of rmul! and lmul!
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@ -65,12 +65,14 @@ parent_type(::Automorphism{N}) where N = AutGroup{N}
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###############################################################################
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function (ϱ::RTransvect)(v, pow::Integer=1)
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@inbounds Groups.r_multiply!(v[ϱ.i], (v[ϱ.j]^pow).symbols, reduced=false)
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append!(v[ϱ.i], v[ϱ.j]^pow)
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freereduce!(v[ϱ.i])
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return v
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end
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function (λ::LTransvect)(v, pow::Integer=1)
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@inbounds Groups.l_multiply!(v[λ.i], (v[λ.j]^pow).symbols, reduced=false)
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prepend!(v[λ.i], v[λ.j]^pow)
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freereduce!(v[λ.i])
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return v
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end
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@ -234,44 +234,32 @@ end
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#
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###############################################################################
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function AbstractAlgebra.mul!(out::GWord, x::GWord, y::GWord; reduced::Bool=true)
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resize!(out.symbols, length(x.symbols)+length(y.symbols))
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for i in eachindex(x.symbols)
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out.symbols[i] = x.symbols[i]
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end
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for i in eachindex(y.symbols)
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out.symbols[length(x.symbols)+i] = y.symbols[i]
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end
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if reduced
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reduce!(out)
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end
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return out
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function Base.append!(w::GWord{T}, v::AbstractVector{T}) where T
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append!(syllables(w), v)
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return w
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end
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function r_multiply!(W::GWord, x; reduced::Bool=true)
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if length(x) > 0
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append!(W.symbols, x)
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end
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if reduced
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reduce!(W)
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end
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return W
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function Base.prepend!(w::GWord{T}, v::AbstractVector{T}) where T
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prepend!(syllables(w), v)
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return w
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end
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function l_multiply!(W::GWord, x; reduced::Bool=true)
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if length(x) > 0
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prepend!(W.symbols, x)
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Base.append!(w::T, v::T) where T <: GWord = append!(w, syllables(v))
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Base.prepend!(w::T, v::T) where T <: GWord = prepend!(w, syllables(v))
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for (mul, f) in ((:rmul!, :push!), (:lmul!, :pushfirst!))
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@eval begin
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function $mul(out::T, w::T, s::GSymbol) where T <:GWord
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$f(syllables(out), s)
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return freereduce!(out)
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end
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end
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end
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end
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end
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if reduced
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reduce!(W)
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end
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return W
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end
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r_multiply(W::GWord, x; reduced=true) =
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r_multiply!(deepcopy(W),x, reduced=reduced)
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l_multiply(W::GWord, x; reduced=true) =
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l_multiply!(deepcopy(W),x, reduced=reduced)
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(*)(W::GWord, Z::GWord) = r_multiply(W, Z.symbols)
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(*)(W::GWord, s::GSymbol) = r_multiply(W, [s])
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