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https://github.com/kalmarek/PropertyT.jl.git
synced 2024-11-14 14:15:28 +01:00
replace Settings.warmstart by force_compute
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@ -16,7 +16,7 @@ struct Naive{El} <: Settings
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upper_bound::Float64
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solver::JuMP.OptimizerFactory
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warmstart::Bool
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force_compute::Bool
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end
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struct Symmetrized{El} <: Settings
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@ -28,19 +28,19 @@ struct Symmetrized{El} <: Settings
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upper_bound::Float64
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solver::JuMP.OptimizerFactory
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warmstart::Bool
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force_compute::Bool
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end
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function Settings(name::String,
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G::Union{Group, NCRing}, S::AbstractVector{El}, solver::JuMP.OptimizerFactory;
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halfradius::Integer=2, upper_bound::Float64=1.0, warmstart=true) where El <: Union{GroupElem, NCRingElem}
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return Naive(name, G, S, halfradius, upper_bound, solver, warmstart)
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halfradius::Integer=2, upper_bound::Float64=1.0, force_compute=false) where El <: Union{GroupElem, NCRingElem}
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return Naive(name, G, S, halfradius, upper_bound, solver, force_compute)
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end
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function Settings(name::String,
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G::Union{Group, NCRing}, S::AbstractVector{El}, autS::Group, solver::JuMP.OptimizerFactory;
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halfradius::Integer=2, upper_bound::Float64=1.0, warmstart=true) where El <: Union{GroupElem, NCRingElem}
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return Symmetrized(name, G, S, autS, halfradius, upper_bound, solver, warmstart)
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halfradius::Integer=2, upper_bound::Float64=1.0, force_compute=false) where El <: Union{GroupElem, NCRingElem}
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return Symmetrized(name, G, S, autS, halfradius, upper_bound, solver, force_compute)
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end
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prefix(s::Naive) = s.name
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@ -81,11 +81,11 @@ end
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function warmstart(sett::Settings)
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warmstart_fname = filename(sett, :warmstart)
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try
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ws = load(filename(sett, :warmstart), "warmstart")
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ws = load(warmstart_fname, "warmstart")
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@info "Loaded $warmstart_fname."
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return ws
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catch ex
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@warn "$(ex.msg). Not providing a warmstart to the solver."
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@warn "$(ex.msg). Could not provide a warmstart to the solver."
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return nothing
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end
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end
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@ -239,23 +239,22 @@ end
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Kazhdan(λ::Number, N::Integer) = sqrt(2*λ/N)
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function check_property_T(sett::Settings)
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print_summary(sett)
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@info sett
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certified_sgap = spectral_gap(sett)
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return interpret_results(sett, certified_sgap)
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end
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function print_summary(sett::Settings)
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separator = "="^76
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info_strs = [separator,
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"Running tests for $(sett.name):",
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function Base.show(io::IO, sett::Settings)
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info_strs = ["PropertyT Settings:",
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"Group: $(sett.name)",
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"Upper bound for λ: $(sett.upper_bound), on halfradius $(sett.halfradius).",
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"Warmstart: $(sett.warmstart)",
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"Results will be stored in ./$(PropertyT.prepath(sett))",
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"Force computations: $(sett.force_compute);",
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"Results will be stored in ./$(PropertyT.prepath(sett));",
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"Solver: $(typeof(sett.solver()))",
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"Solvers options: "]
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append!(info_strs, [rpad(" $k", 30)* "→ \t$v" for (k,v) in sett.solver().options])
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push!(info_strs, separator)
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@info join(info_strs, "\n")
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push!(info_strs, "="^76)
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print(io, join(info_strs, "\n"))
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end
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function interpret_results(sett::Settings, sgap::Number)
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@ -300,7 +299,7 @@ function spectral_gap(sett::Settings)
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return λ, P
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end
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if sett.warmstart
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if sett.force_compute
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λ, P = compute(sett, Δ)
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else
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λ, P =try
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@ -8,7 +8,7 @@
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, with_SCS(20000, accel=20); upper_bound=0.1)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ < 0.0
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@ -23,7 +23,7 @@
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, with_SCS(1000, accel=20); upper_bound=0.1)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ > 0.0999
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@ -39,9 +39,9 @@
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rm("SAut(F$N)", recursive=true, force=true)
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sett = PropertyT.Settings("SAut(F$N)", G, S, with_SCS(10000);
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upper_bound=0.15, warmstart=false)
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upper_bound=0.15)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ < 0.0
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@ -8,22 +8,22 @@
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rm("oSL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, with_SCS(2000, accel=20);
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upper_bound=0.27, warmstart=false)
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upper_bound=0.27, force_compute=false)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ < 0.0
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@test PropertyT.interpret_results(sett, λ) == false
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# second run just checks the solution due to warmstart=false above
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# second run just checks the solution due to force_compute=false above
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@test λ == PropertyT.spectral_gap(sett)
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@test PropertyT.check_property_T(sett) == false
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, with_SCS(2000, accel=20);
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upper_bound=0.27, warmstart=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, with_SCS(4000, accel=20);
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upper_bound=0.27, force_compute=true)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ > 0.269999
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@ -36,10 +36,10 @@
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##########
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# Symmetrizing by PermGroup(3):
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sett = PropertyT.Settings("SL($N,Z)", G, S, PermGroup(N), with_SCS(4000, accel=20);
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upper_bound=0.27, warmstart=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, PermGroup(N), with_SCS(4000, accel=20, warm_start=false);
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upper_bound=0.27, force_compute=true)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ > 0.269999
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@ -54,22 +54,22 @@
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rm("oSL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, with_SCS(2000, accel=20);
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upper_bound=1.3, warmstart=false)
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upper_bound=1.3, force_compute=false)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ < 0.0
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@test PropertyT.interpret_results(sett, λ) == false
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# second run just checks the solution due to warmstart=false above
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# second run just checks the solution due to force_compute=false above
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@test λ == PropertyT.spectral_gap(sett)
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@test PropertyT.check_property_T(sett) == false
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, with_SCS(5000, accel=20);
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upper_bound=1.3, warmstart=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, autS, with_SCS(5000, accel=20, warm_start=true);
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upper_bound=1.3, force_compute=true)
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PropertyT.print_summary(sett)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ > 1.2999
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@ -89,9 +89,9 @@
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rm("oSAut(F$N)", recursive=true, force=true)
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sett = PropertyT.Settings("SAut(F$N)", G, S, autS, with_SCS(1000);
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upper_bound=0.15, warmstart=false)
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upper_bound=0.15)
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PropertyT.print_summary(sett)
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@info sett
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@test PropertyT.check_property_T(sett) == false
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end
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@ -136,7 +136,7 @@ end
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@test 2^2*norm(residual, 1) < λ # i.e. we can certify positivity
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@test 2^2*norm(residual, 1) < λ/100
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@test 2^2*norm(residual, 1) < 2λ/100
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end
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@testset "Adj₃ is SOS" begin
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@ -205,7 +205,7 @@ end
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Base.Libc.flush_cstdio()
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@info "obtained λ and residual" λ norm(residual, 1)
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@test 2^2*norm(residual, 1) > λ # i.e. we can certify positivity
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@test 2^2*norm(residual, 1) > λ # i.e. we can't certify positivity
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end
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@testset "Adj₄ + Op₄ is SOS" begin
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@ -6,10 +6,10 @@ using JLD
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using JuMP, SCS
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with_SCS(iters; accel=1, eps=1e-10) =
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with_SCS(iters; accel=1, eps=1e-10, warm_start=true) =
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with_optimizer(SCS.Optimizer,
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linear_solver=SCS.Direct, max_iters=iters,
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acceleration_lookback=accel, eps=eps, warm_start=true)
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acceleration_lookback=accel, eps=eps, warm_start=warm_start)
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include("1703.09680.jl")
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include("actions.jl")
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