mirror of
https://github.com/kalmarek/PropertyT.jl.git
synced 2024-11-27 01:10:28 +01:00
rename reduce! -> freegroup_reduce!
This commit is contained in:
parent
31fe54b75b
commit
57a54843d4
23
Groups.jl
23
Groups.jl
@ -78,11 +78,11 @@ function inv{T}(W::GWord{T})
|
|||||||
if length(W) == 0
|
if length(W) == 0
|
||||||
return W
|
return W
|
||||||
else
|
else
|
||||||
return reduceGWord{T}(reverse([inv(s) for s in W.symbols]))
|
return freegroup_reduce!(GWord{T}(reverse([inv(s) for s in W.symbols])))
|
||||||
end
|
end
|
||||||
end
|
end
|
||||||
|
|
||||||
function free_group_reduction!(W::GWord)
|
function join_free_symbols!(W::GWord)
|
||||||
reduced = true
|
reduced = true
|
||||||
for i in 1:length(W.symbols) - 1
|
for i in 1:length(W.symbols) - 1
|
||||||
if W.symbols[i].gen == W.symbols[i+1].gen
|
if W.symbols[i].gen == W.symbols[i+1].gen
|
||||||
@ -96,14 +96,13 @@ function free_group_reduction!(W::GWord)
|
|||||||
return reduced
|
return reduced
|
||||||
end
|
end
|
||||||
|
|
||||||
function reduce!{T}(W::GWord{T}, reduce_func::Function=free_group_reduction!)
|
function freegroup_reduce!{T}(W::GWord{T})
|
||||||
if length(W) < 2
|
if length(W) < 2
|
||||||
deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
|
deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
|
||||||
else
|
else
|
||||||
|
|
||||||
reduced = false
|
reduced = false
|
||||||
while !reduced
|
while !reduced
|
||||||
reduced = reduce_func(W)
|
reduced = join_free_symbols!(W)
|
||||||
deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
|
deleteat!(W.symbols, find(x -> x.pow == 0, W.symbols))
|
||||||
end
|
end
|
||||||
end
|
end
|
||||||
@ -113,13 +112,13 @@ function reduce!{T}(W::GWord{T}, reduce_func::Function=free_group_reduction!)
|
|||||||
return W
|
return W
|
||||||
end
|
end
|
||||||
|
|
||||||
reduce(W::GWord) = reduce!(deepcopy(W))
|
freegroup_reduce(W::GWord) = freegroup_reduce!(deepcopy(W))
|
||||||
|
|
||||||
hash{T}(W::GWord{T}) = (W.modified && reduce!(W); W.savedhash)
|
hash{T}(W::GWord{T}) = (W.modified && freegroup_reduce!(W); W.savedhash)
|
||||||
|
|
||||||
function (==){T}(W::GWord{T}, Z::GWord{T})
|
function (==){T}(W::GWord{T}, Z::GWord{T})
|
||||||
W.modified && reduce!(W) # reduce could actually clear the flag and recalculate the hash
|
W.modified && freegroup_reduce!(W) # reduce could actually clear the flag and recalculate the hash
|
||||||
Z.modified && reduce!(Z)
|
Z.modified && freegroup_reduce!(Z)
|
||||||
return W.savedhash == Z.savedhash && W.symbols == Z.symbols
|
return W.savedhash == Z.savedhash && W.symbols == Z.symbols
|
||||||
end
|
end
|
||||||
|
|
||||||
@ -136,7 +135,7 @@ function r_multiply!(W::GWord, x; reduced::Bool=true)
|
|||||||
push!(W.symbols, x...)
|
push!(W.symbols, x...)
|
||||||
end
|
end
|
||||||
if reduced
|
if reduced
|
||||||
reduce!(W)
|
freegroup_reduce!(W)
|
||||||
end
|
end
|
||||||
return W
|
return W
|
||||||
end
|
end
|
||||||
@ -146,7 +145,7 @@ function l_multiply!(W::GWord, x; reduced::Bool=true)
|
|||||||
unshift!(W.symbols, reverse(x)...)
|
unshift!(W.symbols, reverse(x)...)
|
||||||
end
|
end
|
||||||
if reduced
|
if reduced
|
||||||
reduce!(W)
|
freegroup_reduce!(W)
|
||||||
end
|
end
|
||||||
return W
|
return W
|
||||||
end
|
end
|
||||||
@ -184,7 +183,7 @@ function power_by_squaring{T}(x::GWord{T}, p::Integer)
|
|||||||
end
|
end
|
||||||
y *= x
|
y *= x
|
||||||
end
|
end
|
||||||
return reduce!(y)
|
return freegroup_reduce!(y)
|
||||||
end
|
end
|
||||||
|
|
||||||
(^)(x::GWord, n::Integer) = power_by_squaring(x,n)
|
(^)(x::GWord, n::Integer) = power_by_squaring(x,n)
|
||||||
|
Loading…
Reference in New Issue
Block a user