From 86b81273229106218d45dff7a15a9f717869b420 Mon Sep 17 00:00:00 2001 From: kalmar Date: Tue, 6 Jun 2017 12:03:58 +0200 Subject: [PATCH] Update SL.jl to the newest GroupRings/PropertyT --- SL.jl | 77 +++++++++++++++++++++++------------------------------------ 1 file changed, 30 insertions(+), 47 deletions(-) diff --git a/SL.jl b/SL.jl index bc52037..607614c 100644 --- a/SL.jl +++ b/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 $sizes") - basis = B[1:sizes[radius]] - - product_matrix = PropertyT.create_product_matrix(B, sizes[radius]); - sdp_constraints = PropertyT.constraints_from_pm(product_matrix, length(B)) - L_coeff = PropertyT.splaplacian_coeff(S, basis, length(B)); - Δ = GroupAlgebraElement(L_coeff, product_matrix) - - return Δ, sdp_constraints -end - -#= -To use file property(T).jl (specifically: check_property_T function) -You need to define: - -function ΔandSDPconstraints(identity, S):: (Δ, sdp_constraints) - -=# - function cpuinfo_physicalcores() maxcore = -1 for line in eachline("/proc/cpuinfo") @@ -107,7 +83,7 @@ function parse_commandline() "--radius" help = "Find the decomposition over B_r(e,S)" arg_type = Int - default = 0 + default = 2 end return parse_args(s) @@ -115,38 +91,45 @@ end function main() - parsed_args = parse_commandline() + if parsed_args["cpus"] ≠ nothing + if parsed_args["cpus"] > cpuinfo_physicalcores() + warn("Number of specified cores exceeds the physical core cound. Performance will suffer.") + end + Blas.set_num_threads(parsed_args["cpus"]) + end tol = parsed_args["tol"] iterations = parsed_args["iterations"] - solver = SCSSolver(eps=tol, max_iters=iterations, verbose=true) + solver = SCSSolver(eps=tol, max_iters=iterations, linearsolver=SCS.Direct) N = parsed_args["N"] upper_bound = parsed_args["upper-bound"] p = parsed_args["p"] + if p == 0 name = "SL$(N)Z" else name = "SL$(N)_$p" end - radius = parsed_args["radius"] - if radius == 0 - name = name*"-$(string(upper_bound))" - radius = 2 - else - name = name*"-$(string(upper_bound))-r=$radius" - end - S() = SL_generatingset(N, p) - if parsed_args["cpus"] ≠ nothing - if parsed_args["cpus"] > cpuinfo_physicalcores() - warn("Number of specified cores exceeds the physical core cound. Performance will suffer.") - end - Blas.set_num_threads(parsed_args["cpus"]) - end - @time PropertyT.check_property_T(name, S, solver, upper_bound, tol, radius) + radius = parsed_args["radius"] + + name = "$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