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add feasibility/warmstarting tests
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@ -77,6 +77,17 @@ end
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@test status == JuMP.OPTIMAL
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@test certified
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@test λ > 1
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m = PropertyT.sos_problem_dual(elt, unit)
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PropertyT.solve(m, scs_optimizer(
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eps=1e-10,
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max_iters=5_000,
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accel=50,
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alpha=1.9,
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))
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@test JuMP.termination_status(m) in (JuMP.ALMOST_OPTIMAL, JuMP.OPTIMAL)
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@test JuMP.objective_value(m) ≈ 1.5 atol = 1e-3
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end
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@testset "SAut(F₂)" begin
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@ -95,7 +106,7 @@ end
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status, certified, λ = check_positivity(
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elt,
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unit,
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upper_bound=0.1,
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upper_bound=ub,
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halfradius=2,
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optimizer=scs_optimizer(
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eps=1e-10,
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@ -108,6 +119,32 @@ end
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@test status == JuMP.ALMOST_OPTIMAL
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@test λ < 0
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@test !certified
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@time sos_problem =
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PropertyT.sos_problem_primal(elt, upper_bound=ub)
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status, _ = PropertyT.solve(
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sos_problem,
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cosmo_optimizer(
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eps=1e-7,
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max_iters=10_000,
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accel=0,
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alpha=1.9,
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)
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)
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@test status == JuMP.OPTIMAL
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P = JuMP.value.(sos_problem[:P])
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Q = real.(sqrt(P))
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certified, λ_cert = PropertyT.certify_solution(
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elt,
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zero(elt),
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0.0,
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Q,
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halfradius=2,
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)
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@test !certified
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@test λ_cert < 0
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end
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@testset "SL(3,Z) has (T)" begin
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@ -134,14 +134,29 @@ end
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status, warm = PropertyT.solve(
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model,
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scs_optimizer(
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cosmo_optimizer(
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eps=1e-10,
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max_iters=20_000,
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accel=50,
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alpha=1.9,
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),
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)
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@test status == JuMP.OPTIMAL
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status, _ = PropertyT.solve(
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model,
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scs_optimizer(
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eps=1e-10,
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max_iters=100,
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accel=-20,
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alpha=1.2,
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),
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warm
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)
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@test status == JuMP.OPTIMAL
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Q = @time let varP = varP
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Qs = map(varP) do P
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real.(sqrt(JuMP.value.(P)))
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@ -148,10 +148,21 @@ end
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@test status == JuMP.OPTIMAL
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@test certified
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@test λ_cert > 1585 // 10000
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m, _ = PropertyT.sos_problem_primal(elt, wd)
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PropertyT.solve(
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m,
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scs_optimizer(max_iters=5000, accel=50, alpha=1.9)
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)
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@test JuMP.termination_status(m) in (JuMP.ALMOST_OPTIMAL, JuMP.OPTIMAL, JuMP.ITERATION_LIMIT)
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@test abs(JuMP.objective_value(m)) < 1e-3
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end
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@testset "Op₃ is empty, so can not be certified" begin
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elt = op
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@test iszero(op)
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UB = Inf
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status, certified, λ_cert = check_positivity(
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