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add tests!

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kalmarek 2019-01-14 17:44:35 +01:00
parent 3e6a1dde51
commit dd5fdc770b
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test/runtests.jl
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using Property(T) using AbstractAlgebra, Nemo, Groups, SCS
using Base.Test using PropertyT
using Test
# write your own tests here # write your own tests here
@test 1 == 2
indexing(n) = [(i,j) for i in 1:n for j in (i+1):n]
function Groups.gens(M::MatSpace)
@assert M.cols == M.rows
N = M.cols
E(i,j) = begin g = M(1); g[i,j] = 1; g end
S = [E(i,j) for (i,j) in indexing(N)]
S = [S; transpose.(S)]
S = [S; inv.(S)]
return S
end
solver(iters; accel=1) =
SCSSolver(max_iters=iters, acceleration_lookback=accel, eps=1e-10)
@testset "SL(2,Z)" begin
N = 2
G = MatrixSpace(Nemo.ZZ, N,N)
S = Groups.gens(G)
sett = PropertyT.Settings("SL($N,Z)", G, S, solver(20000, accel=20); upper_bound=0.1)
@test PropertyT.check_property_T(sett) == false
end
@testset "SL(3,Z)" begin
N = 3
G = MatrixSpace(Nemo.ZZ, N,N)
S = Groups.gens(G)
sett = PropertyT.Settings("SL($N,Z)", G, S, solver(1000, accel=20); upper_bound=0.1)
@test PropertyT.check_property_T(sett) == true
end
@testset "oSL(3,Z)" begin
N = 3
G = MatrixSpace(Nemo.ZZ, N,N)
S = Groups.gens(G)
autS = WreathProduct(PermGroup(2), PermGroup(N))
sett = PropertyT.Settings("SL($N,Z)", G, S, autS, solver(1000, accel=20);
upper_bound=0.27, warmstart=false)
@test PropertyT.check_property_T(sett) == false
#second run just checks the solution
@test PropertyT.check_property_T(sett) == false
sett = PropertyT.Settings("SL($N,Z)", G, S, autS, solver(1000, accel=20);
upper_bound=0.27, warmstart=true)
@test PropertyT.check_property_T(sett) == true
end
@testset "SAut(F₂)" begin
N = 2
G = SAut(FreeGroup(N))
S = Groups.gens(G)
S = [S; inv.(S)]
sett = PropertyT.Settings("SAut(F$N)", G, S, solver(20000, accel=20);
upper_bound=0.15, warmstart=false)
@test PropertyT.check_property_T(sett) == false
end
@testset "SAut(F₂)" begin
N = 3
G = SAut(FreeGroup(N))
S = Groups.gens(G)
S = [S; inv.(S)]
autS = WreathProduct(PermGroup(2), PermGroup(N))
sett = PropertyT.Settings("SAut(F$N)", G, S, autS, solver(20000);
upper_bound=0.15, warmstart=false)
@test PropertyT.check_property_T(sett) == false
end