use ArgParse for command line interface

SL.jl

@@ -1,6 +1,11 @@
-import Primes: isprime
+using ArgParse
+using GroupAlgebras
+using PropertyT
 
 using Mods
+import Primes: isprime
+
+import SCS.SCSSolver
 
 function SL_generatingset(n::Int)
 
@@ -72,14 +77,14 @@ function inv(M::Array{Mod,2})
 end
 
 function SL_generatingset(n::Int, p::Int)
-    (p > 1 && n > 1) || throw(ArgumentError("Both n and p should be integers!"))
+    p == 0 && return SL_generatingset(n)
+    (p > 1 && n > 0) || throw(ArgumentError("Both n and p should be positive integers!"))
     isprime(p) || throw(ArgumentError("p should be a prime number!"))
 
     indexing = [(i,j) for i in 1:n for j in 1:n if i≠j]
     S = [E(i,j, N=n, mod=p) for (i,j) in indexing]
     S = vcat(S, [inv(s) for s in S])
     S = vcat(S, [permutedims(x, [2,1]) for x in S]);
-
     return unique(S)
 end
 
@@ -108,6 +113,12 @@ function ΔandSDPconstraints{T<:Number}(identity::Array{T,2}, S::Vector{Array{T,
     return Δ, sdp_constraints
 end
 
+ID(n::Int) = eye(Int, n)
+
+function ID(n::Int, p::Int)
+    p==0 && return ID(n)
+    return [Mod(x,p) for x in eye(Int,N)]
+end
 
 
 #=
@@ -118,24 +129,89 @@ function ΔandSDPconstraints(identity, S):: (Δ, sdp_constraints)
 
 =#
 
-using GroupAlgebras
+function cpuinfo_physicalcores()
-using PropertyT
+    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
 
-const N = 3
+function parse_commandline()
+    s = ArgParseSettings()
 
-# const name = "SL$(N)Z"
+    @add_arg_table s begin
-const name = "SL3Z-0.279"
+        "--tol"
-const ID = eye(Int, N)
+            help = "set numerical tolerance for the SDP solver"
-S() = SL_generatingset(N)
+            arg_type = Float64
-const upper_bound=0.27
+            default = 1e-9
+        "--iterations"
+            help = "set maximal number of iterations for the SDP solver"
+            arg_type = Int
+            default = 100000
+        "--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"
+            arg_type = Int
+            required = false
+        "-N"
+            help = "Consider matrices of size N"
+            arg_type = Int
+            default = 3
+        "-p"
+            help = "Matrices over filed of p-elements (0 = over ZZ)"
+            arg_type = Int
+            default = 0
+    end
 
+    return parse_args(s)
+end
 
-# const p = 7
+function main()
-# const upper_bound=0.738 # (N,p) = (3,7)
+    parsed_args = parse_commandline()
+    println("Parsed args:")
 
-# const name = "SL($N,$p)"
+    # SL(3,Z)
-# const ID = [Mod(x,p) for x in eye(Int,N)]
+    # upper_bound = 0.28-1e-5
-# S() = SL_generatingset(N, p)
+    # tol = 1e-12
+    # iterations = 500000
 
-BLAS.set_num_threads(4)
+    # SL(4,Z)
-@time PropertyT.check_property_T(name, ID, S; verbose=true, tol=1e-8, upper_bound=upper_bound)
+    # upper_bound = 1.31
+    # tol = 3e-11
+
+    # upper_bound=0.738 # (N,p) = (3,7)
+
+    tol = parsed_args["tol"]
+    iterations = parsed_args["iterations"]
+
+    # solver = MosekSolver(INTPNT_CO_TOL_REL_GAP=tol, QUIET=false)
+    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
+
+    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, ID(N,p), S, solver, upper_bound, tol)
+end
+
+main()