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remove old (unported) SOS_correctness tests

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Marek Kaluba 2022-11-14 19:51:38 +01:00
parent e6bd862e7a
commit fca7733280
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test/SOS_correctness.jl
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@testset "Correctness of HPC SOS computation" begin
function prepare(G_name, λ, S_size)
pm = load("$G_name/delta.jld", "pm")
P = load("$G_name/$λ/solution.jld", "P")
@time Q = real(sqrt(P))
Δ_coeff = SparseVector(maximum(pm), collect(1:1+S_size), [S_size; ((-1.0) for i in 1:S_size)...])
Δ²_coeff = GroupRings.GRmul!(spzeros(length(Δ_coeff)), Δ_coeff, Δ_coeff, pm)
eoi = Δ²_coeff - λ*Δ_coeff
Q = PropertyT.augIdproj(Q)
return eoi, pm, Q
end
#########################################################
NAME = "SL(3,Z)"
eoi, pm, Q = prepare(NAME, 0.1, 3*2*2)
@time sos_sqr = PropertyT.compute_SOS_square(pm, Q)
@time sos_hpc = PropertyT.compute_SOS(pm, Q)
@test norm(sos_sqr - sos_hpc, 1) < 3e-12
@info "$NAME:\nDifference in l₁-norm between square and hpc sos decompositions:" norm(eoi-sos_sqr,1) norm(eoi-sos_hpc,1) norm(sos_sqr - sos_hpc, 1)
#########################################################
NAME = "SL(3,Z)_orbit"
eoi, pm, Q = prepare(NAME, 0.27, 3*2*2)
@time sos_sqr = PropertyT.compute_SOS_square(pm, Q)
@time sos_hpc = PropertyT.compute_SOS(pm, Q)
@test norm(sos_sqr - sos_hpc, 1) < 5e-12
@info "$NAME:\nDifference in l₁-norm between square and hpc sos decompositions:" norm(eoi-sos_sqr,1) norm(eoi-sos_hpc,1) norm(sos_sqr - sos_hpc, 1)
#########################################################
NAME = "SL(4,Z)_orbit"
eoi, pm, Q = prepare(NAME, 1.3, 4*3*2)
@time sos_sqr = PropertyT.compute_SOS_square(pm, Q)
@time sos_hpc = PropertyT.compute_SOS(pm, Q)
@test norm(sos_sqr - sos_hpc, 1) < 2e-10
@info "$NAME:\nDifference in l₁-norm between square and hpc sos decompositions:" norm(eoi-sos_sqr,1) norm(eoi-sos_hpc,1) norm(sos_sqr - sos_hpc, 1)
#########################################################
NAME = "SAut(F3)_orbit"
eoi, pm, Q = prepare(NAME, 0.15, 4*3*2*2)
@time sos_sqr = PropertyT.compute_SOS_square(pm, Q)
@time sos_hpc = PropertyT.compute_SOS(pm, Q)
@test norm(sos_sqr - sos_hpc, 1) < 6e-11
@info "$NAME:\nDifference in l₁-norm between square and hpc sos decompositions:" norm(eoi-sos_sqr,1) norm(eoi-sos_hpc,1) norm(sos_sqr - sos_hpc, 1)
end