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mirror of https://github.com/kalmarek/PropertyT.jl.git synced 2024-12-25 18:25:30 +01:00

remove old functions

This commit is contained in:
kalmar 2017-03-13 11:43:25 +01:00
parent 62ba245c89
commit b0f273ce45

70
SL3Z.jl
View File

@ -96,84 +96,14 @@ function prepare_Δ_sdp_constraints(identity, S)
return Δ, sdp_constraints
end
function load_Δ_sdp_constraints(name::String;cached=true)
pm_filename = "$name.product_matrix.jld"
Δ_coeff_filename = "$name.delta.coefficients.jld"
f₁ = isfile(pm_filename)
f₂ = isfile(Δ_coeff_filename)
if cached && f₁ && f₂
println("Loading precomputed pm, Δ, sdp_constraints...")
product_matrix = load(pm_filename, "pm")
L = load(Δ_coeff_filename, "Δ")[:, 1]
Δ = GroupAlgebraElement(L, Array{Int,2}(product_matrix))
sdp_constraints = constraints_from_pm(product_matrix)
else
println("Computing pm, Δ, sdp_constraints...")
ID = eye(Int, 3)
S = SL₃_generatingset()
Δ, sdp_constraints = prepare_Δ_sdp_constraints(ID, S)
save(pm_filename, "pm", Δ.product_matrix)
save(Δ_coeff_filename, "Δ", Δ.coefficients)
end
return Δ, sdp_constraints
end
function compute_κ_A(name::String, Δ, sdp_constraints;
cached = true,
tol = 1e-7,
verbose = false,
# solver = MosekSolver(INTPNT_CO_TOL_REL_GAP=tol, QUIET=!verbose))
solver = SCSSolver(eps=tol, max_iters=20000, cg_rate=3, verbose=verbose))
f₁ = isfile("$name.kappa")
f₂ = isfile("$name.SDPmatrixA")
if cached && f₁ && f₂
println("Loading precomputed κ, A...")
A = readdlm("$name.SDPmatrixA")
κ = readdlm("$name.kappa")[1]
else
println("Solving SDP problem maximizing κ...")
κ, A = solve_SDP(sdp_constraints, Δ, solver, verbose=verbose)
# writedlm("$name.kappa", kappa)
# writedlm("$name.SDPmatrixA", A)
end
return κ, A
end
function main()
const NAME = "SL3Z"
const VERBOSE = true
const TOL=1e-7
const Δ, sdp_constraints = load_Δ_sdp_constraints(NAME)
const κ, A = compute_κ_A(NAME, Δ, sdp_constraints, cached=false, verbose=VERBOSE)
if maximum(A) < 1e-2
warn("Solver might not solved the problem successfully and the positive solution is due to floating-point error, proceeding anyway...")
end
if κ > 0
@assert A == Symmetric(A)
const A_sqrt = real(sqrtm(A))
T = _distance_to_positive_cone(Δ, κ, A, tol=TOL, verbose=VERBOSE)
if T < 0
println("$NAME HAS property (T)!")
else
println("$NAME may NOT HAVE property (T)!")
end
else
println(" < 0: $NAME may NOT HAVE property (T)!")
end
end
@everywhere push!(LOAD_PATH, "./")
using GroupAlgebras
include("property(T).jl")
main()