49 lines
1.1 KiB
Julia
49 lines
1.1 KiB
Julia
function check_positivity(
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elt,
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unit;
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upper_bound = Inf,
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halfradius = 2,
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optimizer,
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)
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@time sos_problem =
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PropertyT.sos_problem_primal(elt, unit; upper_bound = upper_bound)
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status, _ = PropertyT.solve(sos_problem, optimizer)
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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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unit,
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JuMP.objective_value(sos_problem),
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Q;
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halfradius = halfradius,
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)
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return status, certified, λ_cert
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end
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function check_positivity(
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elt,
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unit,
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wd;
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upper_bound = Inf,
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halfradius = 2,
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optimizer,
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)
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@assert SA.aug(elt) == SA.aug(unit) == 0
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@time sos_problem, Ps =
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PropertyT.sos_problem_primal(elt, unit, wd; upper_bound = upper_bound)
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@time status, _ = PropertyT.solve(sos_problem, optimizer)
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Q = let Ps = Ps
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Qs = [real.(sqrt(JuMP.value.(P))) for P in Ps]
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PropertyT.reconstruct(Qs, wd)
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end
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λ = JuMP.value(sos_problem[:λ])
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certified, λ_cert =
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PropertyT.certify_solution(elt, unit, λ, Q; halfradius = halfradius)
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return status, certified, λ_cert
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end
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