kalmar/Groups.jl
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tests of the replacement functions

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kalmar 2017-01-26 12:52:24 +01:00
parent c2e1fa55f3
commit 6f27d39a83
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test/runtests.jl
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@ -80,7 +80,28 @@ 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 "replacements" begin
@test Groups.is_subsymbol(s, Groups.change_pow(s,2)) == true
@test Groups.is_subsymbol(s, Groups.change_pow(s,-2)) == false
@test Groups.is_subsymbol(t, Groups.change_pow(s,-2)) == false
@test Groups.is_subsymbol(inv(t), Groups.change_pow(t,-2)) == true
c = s*t*s^-1*t^-1
@test findfirst(c, s^-1*t^-1) == 3
@test findnext(c*s^-1, s^-1*t^-1,3) == 3
@test findnext(c*s^-1*t^-1, s^-1*t^-1,4) == 5
@test findfirst(c*t, c) == 0
w = s*t*s^-1
subst = Dict{FGWord, FGWord}(w => s^1, s*t^-1 => t^4)
@test Groups.replace(c, 1, s*t, one(FGWord)) == s^-1*t^-1
@test Groups.replace(c, 1, w, subst[w]) == s*t^-1
@test Groups.replace(s*c*t^-1, 1, w, subst[w]) == s^2*t^-2
@test Groups.replace(t*c*t, 2, w, subst[w]) == t*s
@test Groups.replace_all!(s*c*s*c*s, subst) == s*t^4*s*t^4*s
end
end
@testset "Automorphisms" begin
@testset "AutSymbol" begin
@test_throws MethodError AutSymbol("a")