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tests for automorphism_groups

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kalmar 2017-01-24 12:23:25 +01:00
parent ee3be65fb2
commit 7b208584a2
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test/runtests.jl
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@ -80,5 +80,44 @@ end
@test (t*s*t^-1)^10 == t*s^10*t^-1
@test (t*s*t^-1)^-10 == t*s^-10*t^-1
end
@testset "Automorphisms" begin
@testset "AutSymbol" begin
@test_throws MethodError AutSymbol("a")
@test_throws MethodError AutSymbol("a", 1)
f = AutSymbol("a", 1, :(a(0)))
@test isa(f, GSymbol)
@test isa(f, AutSymbol)
@test isa(symmetric_AutSymbol([1,2,3,4]), AutSymbol)
@test isa(rmul_AutSymbol(1,2), AutSymbol)
@test isa(lmul_AutSymbol(3,4), AutSymbol)
@test isa(flip_AutSymbol(3), AutSymbol)
end
@testset "AutWords" begin
f = AutSymbol("a", 1, :(a(0)))
@test isa(GWord(f), GWord)
@test isa(GWord(f), AutWord)
@test isa(AutWord(f), AutWord)
@test isa(f*f, AutWord)
@test isa(f^2, AutWord)
@test isa(f^-1, AutWord)
end
@testset "eltary functions" begin
f = symmetric_AutSymbol([2,1,4,3])
@test isa(inv(f), AutSymbol)
@test isa(f^-1, AutWord)
@test f^-1 == GWord(inv(f))
@test inv(f) == f
end
@testset "reductions/arithmetic" begin
f = symmetric_AutSymbol([2,1,4,3])
f² = Groups.r_multiply(AutWord(f), [f], reduced=false)
@test Groups.simplify_perms!(f²) == false
@test f² == one(typeof(f*f))
a = rmul_AutSymbol(1,2)*flip_AutSymbol(2)
b = flip_AutSymbol(2)*inv(rmul_AutSymbol(1,2))
@test a*b == b*a
@test a^3 * b^3 == one(a)
end
end