Update SL.jl to the newest GroupRings/PropertyT

SL.jl

@@ -1,12 +1,11 @@
 using ArgParse
-using GroupAlgebras
-using PropertyT
 
 using Nemo
+using GroupRings
+using PropertyT
 
 import SCS.SCSSolver
 
-
 function E(i::Int, j::Int, M::Nemo.MatSpace)
     @assert i≠j
     m = one(M)
@@ -19,8 +18,7 @@ function SL_generatingset(n::Int)
     G = Nemo.MatrixSpace(Nemo.ZZ, n,n)
     S = [E(i,j,G) for (i,j) in indexing];
     S = vcat(S, [transpose(x) for x in S]);
-    S = vcat(S, [inv(x) for x in S]);
-    return unique(S), one(G)
+    return unique(S)
 end
 
 function SLsize(n,p)
@@ -34,37 +32,15 @@ end
 function SL_generatingset(n::Int, p::Int)
     p == 0 && return SL_generatingset(n)
     (p > 1 && n > 0) || throw(ArgumentError("Both n and p should be positive integers!"))
-    println("Size(SL(n,p)) = $(SLsize(n,p))")
+    println("Size(SL($n,$p)) = $(SLsize(n,p))")
     F = Nemo.ResidueRing(Nemo.ZZ, p)
     G = Nemo.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, [transpose(x) for x in S])
-    S = vcat(S, [inv(s) for s in S])
-    return unique(S), one(G)
+    return unique(S)
 end
 
-function ΔandSDPconstraints(Id, S, radius)
-    B, sizes = PropertyT.generate_balls(Id, S, radius=2*radius)
-    println("Generated balls of sizes $sizes")
-    basis = B[1:sizes[radius]]
-
-    product_matrix = PropertyT.create_product_matrix(B, sizes[radius]);
-    sdp_constraints = PropertyT.constraints_from_pm(product_matrix, length(B))
-    L_coeff = PropertyT.splaplacian_coeff(S, basis, length(B));
-    Δ = GroupAlgebraElement(L_coeff, product_matrix)
-
-    return Δ, sdp_constraints
-end
-
-#=
-To use file property(T).jl (specifically: check_property_T function)
-You need to define:
-
-function ΔandSDPconstraints(identity, S):: (Δ, sdp_constraints)
-
-=#
-
 function cpuinfo_physicalcores()
     maxcore = -1
     for line in eachline("/proc/cpuinfo")
@@ -107,7 +83,7 @@ function parse_commandline()
         "--radius"
             help = "Find the decomposition over B_r(e,S)"
             arg_type = Int
-            default = 0
+            default = 2
     end
 
     return parse_args(s)
@@ -115,38 +91,45 @@ end
 
 function main()
 
-
     parsed_args = parse_commandline()
-
-    tol = parsed_args["tol"]
-    iterations = parsed_args["iterations"]
-
-    solver = SCSSolver(eps=tol, max_iters=iterations, verbose=true)
-
-    N = parsed_args["N"]
-    upper_bound = parsed_args["upper-bound"]
-    p = parsed_args["p"]
-    if p == 0
-        name = "SL$(N)Z"
-    else
-        name = "SL$(N)_$p"
-    end
-    radius = parsed_args["radius"]
-    if radius == 0
-        name = name*"-$(string(upper_bound))"
-        radius = 2
-    else
-        name = name*"-$(string(upper_bound))-r=$radius"
-    end
-    S() = SL_generatingset(N, p)
-
     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
-    @time PropertyT.check_property_T(name, S, solver, upper_bound, tol, radius)
+
+    tol = parsed_args["tol"]
+    iterations = parsed_args["iterations"]
+
+    solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct)
+
+    N = parsed_args["N"]
+    upper_bound = parsed_args["upper-bound"]
+    p = parsed_args["p"]
+
+    if p == 0
+        name = "SL$(N)Z"
+    else
+        name = "SL$(N)_$p"
+    end
+
+    radius = parsed_args["radius"]
+
+    name = "$name_$iterations-$(string(upper_bound))-r=$radius"
+
+    logger = PropertyT.setup_logging(name)
+
+    info(logger, "Group:       $name")
+    info(logger, "Iterations:  $iterations")
+    info(logger, "Precision:   $tol")
+    info(logger, "Upper bound: $upper_bound")
+
+    S = SL_generatingset(N, p)
+    S = unique([S; [inv(s) for s in S]])
+    Id = one(parent(S[1]))
+
+    @time PropertyT.check_property_T(name, S, Id, solver, upper_bound, tol, radius)
     return 0
 end