dispatch main on SymmetricGroup, GAPGroup
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15
AutFn.jl
15
AutFn.jl
@ -55,16 +55,15 @@ Moreover, due to work of Potapchik and Rapinchuk [1] every real representation o
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We need a different approach: Here we actually compute in (S)Aut(𝔽ₙ)
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=#
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include("CPUselect.jl")
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set_parallel_mthread(PARSEDARGS, workers=true)
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using AbstractAlgebra
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using PropertyT
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using Groups
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include("groups/autfreegroup.jl")
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include("main.jl")
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main(SpecialAutomorphisms, PARSEDARGS)
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G = PropertyTGroups.SpecialAutomorphismGroup(PARSEDARGS)
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if PARSEDARGS["nosymmetry"]
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main(Standard, G)
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else
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main(Symmetrize, G)
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end
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13
SLn.jl
13
SLn.jl
@ -55,11 +55,12 @@ const PARSEDARGS = parse_commandline()
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include("CPUselect.jl")
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set_parallel_mthread(PARSEDARGS, workers=true)
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using PropertyT
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using Groups
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include("groups/speciallinear.jl")
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include("main.jl")
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main(SpecialLinear, PARSEDARGS)
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G = PropertyTGroups.SpecialLinearGroup(PARSEDARGS)
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if PARSEDARGS["nosymmetry"]
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main(Standard, G)
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else
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main(Symmetrize, G)
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end
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73
main.jl
73
main.jl
@ -45,6 +45,24 @@ function params(Gr::PropertyTGroup)
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return radius, tol, iterations, upper_bound, warm
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end
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main(G::SymmetricGroup) = main(Symmetrize, G)
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function main(::Type{Symmetrize}, Gr::SymmetricGroup)
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radius, tol, iterations, upper_bound, warm, N = params(Gr)
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groupdir = "$(PropertyTGroups.name(Gr))_r$radius"
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isdir(groupdir) || mkdir(groupdir)
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logger = PropertyT.setup_logging(joinpath(groupdir, "$(upper_bound)"), :fulllog)
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G = PropertyTGroups.group(Gr)
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S = PropertyTGroups.generatingset(Gr)
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summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)
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autS = PropertyTGroups.autS(Gr)
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info(logger, "Symmetrising with $(autS)")
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solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.95, acceleration_lookback=1)
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# solver = Mosek.MosekSolver(
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@ -56,11 +74,54 @@ end
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# solver = SDPA.SDPASolver(epsilonStar=tol, epsilonDash=tol)
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if !PARSEDARGS["nosymmetry"]
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sett = Settings(name, N, G, S, autS, radius, solver, upper_bound, tol, warm, logger)
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sett = Settings(groupdir, N, G, S, autS,
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radius, solver, upper_bound, tol, warm, logger)
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return PropertyT.check_property_T(sett)
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else
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return PropertyT.check_property_T(name, S, G(), solver, upper_bound, tol, radius, warm)
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end
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end
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function main(::Type{Standard}, Gr::SymmetricGroup)
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radius, tol, iterations, upper_bound, warm, _ = params(Gr)
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groupdir = "$(PropertyTGroups.name(Gr))_r$radius"
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isdir(groupdir) || mkdir(groupdir)
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logger = PropertyT.setup_logging(joinpath(groupdir, "$(upper_bound)"), :fulllog)
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G = PropertyTGroups.group(Gr)
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S = PropertyTGroups.generatingset(Gr)
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summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)
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solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.95, acceleration_lookback=1)
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return PropertyT.check_property_T(groupdir, S, G(),
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solver, upper_bound, tol, radius, warm)
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end
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function main(Gr::GAPGroup)
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include("FPGroups_GAP.jl")
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radius, tol, iterations, upper_bound, warm = params(Gr)
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groupdir = groupname(Gr)
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isdir(groupdir) || mkdir(groupdir)
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logger = PropertyT.setup_logging(joinpath(groupdir, "$(upper_bound)"), :fulllog)
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G = PropertyTGroups.group(Gr)
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S = PropertyTGroups.generatingset(Gr)
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relations = [k*inv(v) for (k,v) in G.rels]
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prepare_pm_delta(groupdir, GAP_groupcode(S, relations), radius)
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S = unique([S; inv.(S)])
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summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)
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solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.95, acceleration_lookback=1)
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return PropertyT.check_property_T(groupdir, S, G(),
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solver, upper_bound, tol, radius, warm)
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end
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