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add: tests for oSL(4,Z); global @info
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@ -204,6 +204,12 @@ end
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function check_property_T(sett::Settings)
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fp = PropertyT.fullpath(sett)
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isdir(fp) || mkpath(fp)
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@info("\#"^76)
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@info("Running tests for $(sett.name):"
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@info("Upper bound for λ: $(sett.upper_bound), on radius $(sett.radius).")
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@info("Solver is $(sett.solver)")
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@info("Warmstart: $(sett.warmstart)")
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@info("\#"^76)
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if isfile(filename(sett,:Δ))
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# cached
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@ -10,7 +10,6 @@ function Groups.gens(M::MatSpace)
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E(i,j) = begin g = M(1); g[i,j] = 1; g end
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S = [E(i,j) for (i,j) in indexing(N)]
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S = [S; transpose.(S)]
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S = [S; inv.(S)]
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return S
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end
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@ -20,34 +19,36 @@ solver(iters; accel=1) =
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@testset "1703.09680 Examples" begin
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@testset "SL(2,Z)" begin
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rm("SL(2,Z)", recursive=true, force=true)
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N = 2
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G = MatrixSpace(Nemo.ZZ, N,N)
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S = Groups.gens(G)
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S = [S; inv.(S)]
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, solver(20000, accel=20); upper_bound=0.1)
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@test PropertyT.check_property_T(sett) == false
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end
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@testset "SL(3,Z)" begin
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rm("SL(3,Z)", recursive=true, force=true)
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N = 3
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G = MatrixSpace(Nemo.ZZ, N,N)
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S = Groups.gens(G)
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S = [S; inv.(S)]
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, solver(1000, accel=20); upper_bound=0.1)
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@test PropertyT.check_property_T(sett) == true
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end
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@testset "SAut(F₂)" begin
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rm("SAut(F2)", recursive=true, force=true)
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N = 2
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G = SAut(FreeGroup(N))
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S = Groups.gens(G)
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S = [S; inv.(S)]
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rm("SAut(F$N)", recursive=true, force=true)
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sett = PropertyT.Settings("SAut(F$N)", G, S, solver(20000);
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upper_bound=0.15, warmstart=false)
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@ -55,15 +56,16 @@ solver(iters; accel=1) =
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end
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end
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@testset "17.12.07167 Examples" begin
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@testset "1712.07167 Examples" begin
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@testset "oSL(3,Z)" begin
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rm("oSL(3,Z)", recursive=true, force=true)
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N = 3
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G = MatrixSpace(Nemo.ZZ, N,N)
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S = Groups.gens(G)
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S = [S; inv.(S)]
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autS = WreathProduct(PermGroup(2), PermGroup(N))
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rm("oSL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, solver(2000, accel=20);
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upper_bound=0.27, warmstart=false)
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@ -76,15 +78,37 @@ end
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@test PropertyT.check_property_T(sett) == true
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end
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@testset "oSL(4,Z)" begin
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N = 4
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G = MatrixSpace(Nemo.ZZ, N,N)
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S = Groups.gens(G)
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S = [S; inv.(S)]
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autS = WreathProduct(PermGroup(2), PermGroup(N))
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rm("oSL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, solver(5000, accel=10);
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upper_bound=1.3, warmstart=false)
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@test PropertyT.check_property_T(sett) == false
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#second run just checks the obtained solution
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@test PropertyT.check_property_T(sett) == false
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@testset "SAut(F₂)" begin
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rm("oSAut(F3)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, solver(20000, accel=10);
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upper_bound=1.3, warmstart=true)
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@test PropertyT.check_property_T(sett) == true
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end
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@testset "SAut(F₃)" begin
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N = 3
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G = SAut(FreeGroup(N))
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S = Groups.gens(G)
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S = [S; inv.(S)]
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autS = WreathProduct(PermGroup(2), PermGroup(N))
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rm("oSAut(F$N)", recursive=true, force=true)
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sett = PropertyT.Settings("SAut(F$N)", G, S, autS, solver(10000);
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upper_bound=0.15, warmstart=false)
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