integrate with SLNs.jl

SL.jl

@@ -1,72 +1,11 @@
 using ArgParse
 
-using Nemo
-import SCS.SCSSolver
-using PropertyT
-
-
-###############################################################################
-#
-#  Generating set
-#
-###############################################################################
-
-function E(i::Int, j::Int, M::MatSpace, val=one(M.base_ring))
-    @assert i≠j
-    m = one(M)
-    m[i,j] = val
-    return m
-end
-
-function SLsize(n,p)
-    result = BigInt(1)
-    for k in 0:n-1
-        result *= p^n - p^k
-    end
-    return div(result, p-1)
-end
-
-function SL_generatingset(n::Int, X::Bool=false)
-   indexing = [(i,j) for i in 1:n for j in 1:n if i≠j]
-   G = MatrixSpace(ZZ, n, n)
-   if X
-      S = [E(i,j,G,v) for (i,j) in indexing for v in [1, 100]]
-   else
-      S = [E(i,j,G,v) for (i,j) in indexing for v in [1]]
-   end
-   S = vcat(S, [inv(x) for x in S])
-   return G, unique(S)
-end
-
-function SL_generatingset(n::Int, p::Int, X::Bool=false)
-    p == 0 && return SL_generatingset(n, X)
-    (p > 1 && n > 1) || throw("Both n and p should be positive integers!")
-    info("Size(SL($n,$p)) = $(SLsize(n,p))")
-    F = ResidueRing(ZZ, p)
-    G = MatrixSpace(F, n, n)
-    indexing = [(i,j) for i in 1:n for j in 1:n if i≠j]
-    S = [E(i, j, G) for (i,j) in indexing]
-    S = vcat(S, [inv(x) for x in S])
-    return G, unique(S)
-end
-
 ###############################################################################
 #
 #  Parsing command line
 #
 ###############################################################################
 
-function cpuinfo_physicalcores()
-    maxcore = -1
-    for line in eachline("/proc/cpuinfo")
-        if startswith(line, "core id")
-            maxcore = max(maxcore, parse(Int, split(line, ':')[2]))
-        end
-    end
-    maxcore < 0 && error("failure to read core ids from /proc/cpuinfo")
-    return maxcore + 1
-end
-
 function parse_commandline()
     settings = ArgParseSettings()
 
@@ -99,53 +38,61 @@ function parse_commandline()
             help = "Radius of ball B_r(e,S) to find solution over"
             arg_type = Int
             default = 2
+        "-X"
+            help = "Consider EL(N, ZZ⟨X⟩)"
+            action = :store_true
+        "--warmstart"
+            help = "Use warmstart.jl as the initial guess for SCS"
+            action = :store_true
     end
 
     return parse_args(settings)
 end
 
-function main()
+const PARSEDARGS = parse_commandline()
 
-    parsed_args = parse_commandline()
-    if parsed_args["cpus"] ≠ nothing
-       if parsed_args["cpus"] > cpuinfo_physicalcores()
-           warn("Number of specified cores exceeds the physical core cound. Performance will suffer.")
-        end
-        BLAS.set_num_threads(parsed_args["cpus"])
-    end
+include("CPUselect.jl")
 
-    N = parsed_args["N"]
-    p = parsed_args["p"]
+# set_parallel_mthread(PARSEDARGS, workers=true)
 
-    if p == 0
-        dirname = "SL$(N)Z"
-    else
-        dirname = "SL$(N)_$p"
-    end
+using SCS.SCSSolver
+using Nemo
+using PropertyT
+using Groups
 
-    radius = parsed_args["radius"]
+include("SLNs.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"]
 
-    dirname = "$(dirname)_$(upper_bound)_r=$radius"
+    name, N = GROUP.groupname(parsed_args)
+    G, S = G, S = GROUP.generatingset(parsed_args)
 
-    logger = PropertyT.setup_logging(dirname)
+    name = "$(name)_r$radius"
+    isdir(name) || mkdir(name)
 
-    info(logger, "Group:       $dirname")
+    logger = PropertyT.setup_logging(joinpath(name, "$(upper_bound)"))
+
+    info(logger, "Group:       $name")
     info(logger, "Iterations:  $iterations")
     info(logger, "Precision:   $tol")
     info(logger, "Upper bound: $upper_bound")
-
-    G, S = SL_generatingset(N, p)
+    info(logger, "Threads:     $(Threads.nthreads())")
+    info(logger, "Workers:     $(workers())")
     info(logger, G)
     info(logger, "Symmetric generating set of size $(length(S))")
+
     Id = one(G)
 
-    solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct)
+    solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct, alpha=1.9, acceleration_lookback=1)
 
-    @time PropertyT.check_property_T(dirname, S, Id, solver, upper_bound, tol, radius)
+    PropertyT.check_property_T(name, S, Id, solver, upper_bound, tol, radius)
     return 0
 end
 
-main()
+main(SLNs, PARSEDARGS)