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a better (iterative) reduce

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kalmar 2017-01-18 17:50:29 +01:00
parent 9c06c9b161
commit 4aa92cda36
1 changed files with 16 additions and 11 deletions
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27
FreeGroups.jl
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@ -101,7 +101,21 @@ function inv{T}(W::GWord{T})
end
end
function reduce!(W::GWord{FGSymbol})
function free_group_reduction!(W::GWord)
reduced = true
for i in 1:length(W.symbols) - 1
if W.symbols[i].gen == W.symbols[i+1].gen
reduced = false
p1 = W.symbols[i].pow
p2 = W.symbols[i+1].pow
W.symbols[i+1] = change_pow(W.symbols[i], p1 + p2)
W.symbols[i] = one(W.symbols[i])
end
end
return reduced
end
function reduce!{T}(W::GWord{T}, reduce_func::Function=free_group_reduction!)
if length(W) < 2
deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
return W
@ -109,16 +123,7 @@ function reduce!(W::GWord{FGSymbol})
reduced = false
while !reduced
reduced = true
for i in 1:length(W.symbols) - 1
if W.symbols[i].gen == W.symbols[i+1].gen
reduced = false
p1 = W.symbols[i].pow
p2 = W.symbols[i+1].pow
W.symbols[i+1] = change_pow(W.symbols[i], p1 + p2)
W.symbols[i] = one(W.symbols[i])
end
end
reduced = reduce_func(W)
deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
end
return W