mirror of
https://github.com/kalmarek/Groups.jl.git
synced 2024-11-19 14:35:28 +01:00
85 lines
2.6 KiB
Julia
85 lines
2.6 KiB
Julia
using Groups
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using Base.Test
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# write your own tests here
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s = FGSymbol("s")
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t = FGSymbol("t")
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@testset "FGSymbols" begin
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@testset "defines" begin
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@test isa(FGSymbol(string(Char(rand(50:2000)))), Groups.GSymbol)
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@test FGSymbol("abc").pow == 1
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@test isa(s, FGSymbol)
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@test isa(t, FGSymbol)
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end
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@testset "eltary functions" begin
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@test length(s) == 1
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@test one(s) == s^0
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@test one(s) == one(FGSymbol)
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@test Groups.change_pow(s,0) == one(s)
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@test length(one(s)) == 0
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@test inv(s).pow == -1
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@test FGSymbol("s", 3) == Groups.change_pow(s,3)
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@test s^2 ≠ t^2
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end
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@testset "powers" begin
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s⁴ = Groups.change_pow(s,4)
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@test s⁴.pow == 4
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@test (s^4).symbols[1] == Groups.change_pow(s,4)
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@test s*s == s^2
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@test inv(s*s) == inv(s^2)
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@test inv(s)^2 == inv(s^2)
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@test inv(s)*inv(s) == inv(s^2)
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@test inv(s*s) == inv(s)*inv(s)
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end
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end
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@testset "GWords" begin
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@testset "defines" begin
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@test isa(Groups.GWord(s), Groups.GWord)
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@test isa(Groups.GWord(s), FGWord)
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@test isa(FGWord(s), Groups.GWord)
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@test isa(s*s, FGWord)
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@test s*s == s^2
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@test t*s ≠ s*t
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end
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@testset "eltary functions" begin
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@test length(FGWord(s)) == 1
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@test length(s*s) == 2
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@test length(s*s^-1) == 0
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@test length(s*t^-1) == 2
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@test isa(one(FGWord), FGWord)
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@test one(FGWord).symbols == Vector{FGSymbol}([one(FGSymbol)])
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@test isa(one(Groups.GWord{FGSymbol}), Groups.GWord{FGSymbol})
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w = s*t*s^-1
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@test isa(one(w), FGWord)
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@test inv(s*t) == t^-1*s^-1
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@test inv(w) == s*t^-1*s^-1
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end
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@testset "reductions" begin
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@test one(FGWord) == one(s)*one(s)
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w = GWord{FGSymbol}([s])
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push!(w.symbols, (s^-1).symbols[1])
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@test Groups.freegroup_reduce!(w) == one(FGWord)
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o = (t*s)^3
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@test o == t*s*t*s*t*s
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p = (t*s)^-3
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@test p == s^-1*t^-1*s^-1*t^-1*s^-1*t^-1
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@test o*p == one(FGWord)
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w = FGWord([o.symbols..., p.symbols...])
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@test Groups.freegroup_reduce!(w).symbols ==Vector{FGSymbol}([])
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end
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@testset "arithmetic" begin
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@test Groups.r_multiply!(FGWord(t),[s,t]; reduced=true) == t*s*t
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@test Groups.r_multiply!(FGWord(t),[s,t]; reduced=false) == t*s*t
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@test Groups.l_multiply!(FGWord(t),[s,t]; reduced=true) == t*s*t
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@test Groups.l_multiply!(FGWord(t),[s,t]; reduced=false) == t*s*t
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@test (t*s*t^-1)^10 == t*s^10*t^-1
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@test (t*s*t^-1)^-10 == t*s^-10*t^-1
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end
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end
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