mirror of
https://github.com/kalmarek/Groups.jl.git
synced 2024-12-26 02:20:30 +01:00
72 lines
1.7 KiB
Julia
72 lines
1.7 KiB
Julia
@testset "New.FreeGroup" begin
|
|
|
|
A3 = Alphabet([:a, :b, :c, :A, :B, :C], [4,5,6,1,2,3])
|
|
F3 = New.FreeGroup([:a, :b, :c], A3)
|
|
@test F3 isa New.FreeGroup
|
|
|
|
@test gens(F3) isa Vector
|
|
|
|
@test eltype(F3) <: New.FPGroupElement{<:New.FreeGroup}
|
|
|
|
w = F3([1,2,3,4])
|
|
W = inv(w)
|
|
@test deepcopy(w) !== w
|
|
@test deepcopy(w).word !== w.word
|
|
|
|
@test isone(w*W)
|
|
|
|
@test New.alphabet(w) == A3
|
|
|
|
@testset "generic iteration" begin
|
|
w, s = iterate(F3)
|
|
@test isone(w)
|
|
w, s = iterate(F3, s)
|
|
@test w == gens(F3, 1)
|
|
|
|
a,b,c = gens(F3)
|
|
|
|
function test_iteration(F, n=1000)
|
|
w, s = iterate(F)
|
|
for i in 1:n
|
|
w, s = iterate(F, s)
|
|
end
|
|
return w
|
|
end
|
|
|
|
k = test_iteration(F3, 10)
|
|
@test k == a*b^-1
|
|
|
|
@time k = test_iteration(F3, 1000)
|
|
@test k == (a^2)*c^2*a^-1
|
|
end
|
|
|
|
@testset "wl_ball" begin
|
|
function wl_ball(F; radius::Integer)
|
|
g, state = iterate(F)
|
|
while length(New.word(g)) <= radius
|
|
res = iterate(F, state)
|
|
isnothing(res) && break
|
|
g, state = res
|
|
end
|
|
elts = collect(state.seen)
|
|
elts = resize!(elts, length(elts)-1)
|
|
return elts
|
|
end
|
|
|
|
E4 = wl_ball(F3, radius=4)
|
|
@test length(E4) == 937
|
|
@test New.word(last(E4)) == Word([6])^4
|
|
|
|
E8, t, _ = @timed wl_ball(F3, radius=8)
|
|
@test length(E8) == 585937
|
|
@test New.word(last(E8)) == Word([6])^8
|
|
@test t/10^9 < 1
|
|
end
|
|
|
|
@testset "GroupsCore conformance" begin
|
|
test_Group_interface(F3)
|
|
test_GroupElement_interface(rand(F3, 2)...)
|
|
end
|
|
|
|
end
|