mirror of
https://github.com/kalmarek/Groups.jl.git
synced 2024-08-26 20:26:22 +02:00
37 lines
1.0 KiB
Julia
37 lines
1.0 KiB
Julia
using Groups.MatrixGroups
|
||
|
||
@testset "Matrix Groups" begin
|
||
@testset "SL(n, ℤ)" begin
|
||
SL3Z = SpecialLinearGroup{3}(Int8)
|
||
|
||
S = gens(SL3Z); union!(S, inv.(S))
|
||
|
||
E, sizes = Groups.wlmetric_ball(S, radius=4)
|
||
|
||
@test sizes == [13, 121, 883, 5455]
|
||
|
||
E(i,j) = SL3Z([A[MatrixGroups.ElementaryMatrix{3}(i,j, Int8(1))]])
|
||
|
||
A = alphabet(SL3Z)
|
||
w = E(1,2)
|
||
r = E(2,3)^-3
|
||
s = E(1,3)^2*E(3,2)^-1
|
||
|
||
S = [w,r,s]; S = unique([S; inv.(S)]);
|
||
_, sizes = Groups.wlmetric_ball(S, radius=4);
|
||
@test sizes == [7, 33, 141, 561]
|
||
_, sizes = Groups.wlmetric_ball_serial(S, radius=4);
|
||
@test sizes == [7, 33, 141, 561]
|
||
|
||
Logging.with_logger(Logging.NullLogger()) do
|
||
@testset "GroupsCore conformance" begin
|
||
test_Group_interface(SL3Z)
|
||
g = SL3Z(rand(1:length(alphabet(SL3Z)), 10))
|
||
h = SL3Z(rand(1:length(alphabet(SL3Z)), 10))
|
||
|
||
test_GroupElement_interface(g, h)
|
||
end
|
||
end
|
||
end
|
||
end
|