GroupsWithPropertyT/main.jl

using AbstractAlgebra
using Nemo
using PropertyT
using Groups

using SCS.SCSSolver
# using Mosek
# using CSDP
# using SDPA

include("groups/Allgroups.jl")
using PropertyTGroups

struct Symmetrize end
struct Standard end

function summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)
    info(logger, "Group:       $groupdir")
    info(logger, "Iterations:  $iterations")
    info(logger, "Precision:   $tol")
    info(logger, "Upper bound: $upper_bound")
    info(logger, "Radius:      $radius")
    info(logger, "Threads:     $(Threads.nthreads())")
    info(logger, "Workers:     $(workers())")
    info(logger, string(G))
    info(logger, "with generating set of size $(length(S))")
end

function params(Gr::SymmetricGroup)
    radius = Gr.args["radius"]
    tol = Gr.args["tol"]
    iterations = Gr.args["iterations"]
    upper_bound = Gr.args["upper-bound"]
    warm = Gr.args["warmstart"]
    N = Gr.args["N"]
    return radius, tol, iterations, upper_bound, warm, N
end

function params(Gr::PropertyTGroup)
    radius = Gr.args["radius"]
    tol = Gr.args["tol"]
    iterations = Gr.args["iterations"]
    upper_bound = Gr.args["upper-bound"]
    warm = Gr.args["warmstart"]
    return radius, tol, iterations, upper_bound, warm
end

main(G::SymmetricGroup) = main(Symmetrize, G)

function main(::Type{Symmetrize}, Gr::SymmetricGroup)

    radius, tol, iterations, upper_bound, warm, N = params(Gr)

    groupdir = "$(PropertyTGroups.name(Gr))_r$radius"
    isdir(groupdir) || mkdir(groupdir)
    logger = PropertyT.setup_logging(joinpath(groupdir, "$(upper_bound)"), :fulllog)

    G = PropertyTGroups.group(Gr)
    S = PropertyTGroups.generatingset(Gr)

    summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)

    autS = PropertyTGroups.autS(Gr)
    info(logger, "Symmetrising with $(autS)")

    solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.95, acceleration_lookback=1)

    # solver = Mosek.MosekSolver(
    #    MSK_DPAR_INTPNT_CO_TOL_REL_GAP=tol,
    #    MSK_IPAR_INTPNT_MAX_ITERATIONS=iterations,
    #    QUIET=false)

    # solver = CSDP.CSDPSolver(axtol=tol, atytol=tol, objtol=tol, minstepp=tol*10.0^-1, minstepd=tol*10.0^-1)

    # solver = SDPA.SDPASolver(epsilonStar=tol, epsilonDash=tol)

    sett = Settings(groupdir, N, G, S, autS,
        radius, solver, upper_bound, tol, warm, logger)
    return PropertyT.check_property_T(sett)
end

function main(::Type{Standard}, Gr::SymmetricGroup)

    radius, tol, iterations, upper_bound, warm, _ = params(Gr)

    groupdir = "$(PropertyTGroups.name(Gr))_r$radius"
    isdir(groupdir) || mkdir(groupdir)
    logger = PropertyT.setup_logging(joinpath(groupdir, "$(upper_bound)"), :fulllog)

    G = PropertyTGroups.group(Gr)
    S = PropertyTGroups.generatingset(Gr)

    summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)

    solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.95, acceleration_lookback=1)

    return PropertyT.check_property_T(groupdir, S, G(),
        solver, upper_bound, tol, radius, warm)

end


function main(Gr::GAPGroup)

    include("FPGroups_GAP.jl")

    radius, tol, iterations, upper_bound, warm = params(Gr)

    groupdir = groupname(Gr)
    isdir(groupdir) || mkdir(groupdir)
    logger = PropertyT.setup_logging(joinpath(groupdir, "$(upper_bound)"), :fulllog)

    G = PropertyTGroups.group(Gr)
    S = PropertyTGroups.generatingset(Gr)

    relations = [k*inv(v) for (k,v) in G.rels]
    prepare_pm_delta(groupdir, GAP_groupcode(S, relations), radius)

    S = unique([S; inv.(S)])

    summarize(logger, groupdir, iterations, tol, upper_bound, radius, G, S)

    solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.95, acceleration_lookback=1)

    return PropertyT.check_property_T(groupdir, S, G(),
        solver, upper_bound, tol, radius, warm)
end