GroupsWithPropertyT/MCG.jl

using ArgParse

function parse_commandline()
   args = ArgParseSettings()

    @add_arg_table args begin
    "--tol"
        help = "set numerical tolerance for the SDP solver"
        arg_type = Float64
        default = 1e-14
    "--iterations"
        help = "set maximal number of iterations for the SDP solver (default: 20000)"
        arg_type = Int
        default = 60000
    "--upper-bound"
        help = "Set an upper bound for the spectral gap"
        arg_type = Float64
        default = Inf
    "--cpus"
        help = "Set number of cpus used by solver (default: auto)"
        arg_type = Int
        required = false
    "-N"
        help = "Consider mapping class group of surface of genus N"
        arg_type = Int
        default = 2
    "--radius"
        help = "Radius of ball B_r(e,S) to find solution over"
        arg_type = Int
        default = 2
    "--warmstart"
        help = "Use warmstart.jl as the initial guess for SCS"
        action = :store_true
    end

    return parse_args(args)
end
const PARSEDARGS = parse_commandline()

include("CPUselect.jl")
set_parallel_mthread(PARSEDARGS, workers=false)

using Nemo
using SCS.SCSSolver
using PropertyT
using Groups

include("FPGroups_GAP.jl")
include("groups/mappingclassgroup.jl")

function main(GROUP, parsed_args)

    radius = parsed_args["radius"]
    tol = parsed_args["tol"]
    iterations = parsed_args["iterations"]
    upper_bound = parsed_args["upper-bound"]
    warm = parsed_args["warmstart"]

    name, N = GROUP.groupname(parsed_args)
    isdir(name) || mkdir(name)

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

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

    Id = G()

    logger = PropertyT.setup_logging(joinpath(name, "$(upper_bound)"))

    info(logger, "Group:       $name")
    info(logger, "Iterations:  $iterations")
    info(logger, "Precision:   $tol")
    info(logger, "Upper bound: $upper_bound")
    info(logger, "Radius:      $radius")
    info(logger, G)
    info(logger, "Symmetric generating set of size $(length(S))")
    info(logger, "Threads:     $(Threads.nthreads())")
    info(logger, "Workers:     $(workers())")

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

    PropertyT.check_property_T(name, S, Id, solver, upper_bound, tol, radius, warm)
    return 0
end

main(MappingClassGroups, PARSEDARGS)