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replace! and replace_all! for GWords
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@ -199,6 +199,36 @@ function Base.findnext(W::GWord, Z::GWord, i::Integer)
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end
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Base.findfirst(W::GWord, Z::GWord) = findnext(W, Z, 1)
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function replace!(W::GWord, index, toreplace::GWord, replacement::GWord; asserts=true)
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n = length(toreplace.symbols)
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if asserts
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@assert is_subsymbol(toreplace.symbols[1], W.symbols[index])
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@assert W.symbols[index+1:index+n-2] == toreplace.symbols[2:end-1]
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@assert is_subsymbol(toreplace.symbols[end], W.symbols[index+n-1])
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end
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first = W.symbols[index]*inv(toreplace.symbols[1])
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last = W.symbols[index+n-1]*inv(toreplace.symbols[end])
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replacement = first*replacement*last
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splice!(W.symbols, index:index+n-1, replacement.symbols)
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Groups.freegroup_reduce!(W)
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return W
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end
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function replace_all!{T}(W::GWord{T}, subst_dict::Dict{GWord{T}, GWord{T}})
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reduced = true
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for toreplace in reverse!(sort!(collect(keys(subst_dict))))
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replacement = subst_dict[toreplace]
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i = findfirst(W, toreplace)
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while i ≠ 0
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replace!(W,i,toreplace, replacement)
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i = findnext(W, toreplace, i-1)
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end
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end
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return W
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end
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include("free_groups.jl")
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include("automorphism_groups.jl")
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