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rename reduce! -> freegroup_reduce!
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31fe54b75b
commit
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23
Groups.jl
23
Groups.jl
@ -78,11 +78,11 @@ function inv{T}(W::GWord{T})
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if length(W) == 0
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if length(W) == 0
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return W
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return W
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else
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else
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return reduceGWord{T}(reverse([inv(s) for s in W.symbols]))
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return freegroup_reduce!(GWord{T}(reverse([inv(s) for s in W.symbols])))
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end
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end
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end
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end
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function free_group_reduction!(W::GWord)
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function join_free_symbols!(W::GWord)
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reduced = true
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reduced = true
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for i in 1:length(W.symbols) - 1
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for i in 1:length(W.symbols) - 1
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if W.symbols[i].gen == W.symbols[i+1].gen
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if W.symbols[i].gen == W.symbols[i+1].gen
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@ -96,14 +96,13 @@ function free_group_reduction!(W::GWord)
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return reduced
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return reduced
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end
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end
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function reduce!{T}(W::GWord{T}, reduce_func::Function=free_group_reduction!)
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function freegroup_reduce!{T}(W::GWord{T})
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if length(W) < 2
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if length(W) < 2
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deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
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deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
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else
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else
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reduced = false
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reduced = false
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while !reduced
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while !reduced
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reduced = reduce_func(W)
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reduced = join_free_symbols!(W)
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deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
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deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
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end
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end
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end
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end
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@ -113,13 +112,13 @@ function reduce!{T}(W::GWord{T}, reduce_func::Function=free_group_reduction!)
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return W
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return W
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end
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end
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reduce(W::GWord) = reduce!(deepcopy(W))
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freegroup_reduce(W::GWord) = freegroup_reduce!(deepcopy(W))
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hash{T}(W::GWord{T}) = (W.modified && reduce!(W); W.savedhash)
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hash{T}(W::GWord{T}) = (W.modified && freegroup_reduce!(W); W.savedhash)
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function (==){T}(W::GWord{T}, Z::GWord{T})
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function (==){T}(W::GWord{T}, Z::GWord{T})
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W.modified && reduce!(W) # reduce could actually clear the flag and recalculate the hash
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W.modified && freegroup_reduce!(W) # reduce could actually clear the flag and recalculate the hash
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Z.modified && reduce!(Z)
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Z.modified && freegroup_reduce!(Z)
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return W.savedhash == Z.savedhash && W.symbols == Z.symbols
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return W.savedhash == Z.savedhash && W.symbols == Z.symbols
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end
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end
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@ -136,7 +135,7 @@ function r_multiply!(W::GWord, x; reduced::Bool=true)
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push!(W.symbols, x...)
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push!(W.symbols, x...)
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end
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end
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if reduced
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if reduced
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reduce!(W)
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freegroup_reduce!(W)
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end
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end
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return W
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return W
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end
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end
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@ -146,7 +145,7 @@ function l_multiply!(W::GWord, x; reduced::Bool=true)
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unshift!(W.symbols, reverse(x)...)
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unshift!(W.symbols, reverse(x)...)
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end
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end
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if reduced
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if reduced
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reduce!(W)
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freegroup_reduce!(W)
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end
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end
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return W
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return W
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end
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end
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@ -184,7 +183,7 @@ function power_by_squaring{T}(x::GWord{T}, p::Integer)
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end
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end
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y *= x
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y *= x
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end
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end
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return reduce!(y)
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return freegroup_reduce!(y)
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end
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end
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(^)(x::GWord, n::Integer) = power_by_squaring(x,n)
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(^)(x::GWord, n::Integer) = power_by_squaring(x,n)
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