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PropertyT.jl
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rename computeλandP → approximate_by_SOS

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kalmarek 2019-04-02 18:57:21 +02:00
parent bb42538ee5
commit ed910ccde5
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1 changed files with 23 additions and 19 deletions
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src/1712.07167.jl
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@ -74,7 +74,7 @@ end
###############################################################################
#
# λandP
# Approximation by SOS (logged & warmstarted)
#
###############################################################################
@ -87,16 +87,19 @@ function warmstart(sett::Settings)
return ws
end
function computeλandP(sett::Naive, Δ::GroupRingElem;
function approximate_by_SOS(sett::Naive,
elt::GroupRingElem, orderunit::GroupRingElem;
solverlog=tempname()*".log")
@info "Creating SDP problem..."
SDP_problem = SOS_problem(Δ^2, Δ, upper_bound=sett.upper_bound)
@info(Base.repr(SDP_problem))
SDP_problem = SOS_problem(elt, orderunit, upper_bound=sett.upper_bound)
@info Base.repr(SDP_problem)
@info "Logging solver's progress into $solverlog"
ws = warmstart(sett)
@time status, ws = PropertyT.solve(solverlog, SDP_problem, sett.solver, ws)
@info "Optimization has finished:" status
@info "Optimization finished:" status
P = value.(SDP_problem[:P])
λ = value(SDP_problem[:λ])
@ -113,24 +116,27 @@ function computeλandP(sett::Naive, Δ::GroupRingElem;
return λ, P
end
function computeλandP(sett::Symmetrized, Δ::GroupRingElem;
function approximate_by_SOS(sett::Symmetrized,
elt::GroupRingElem, orderunit::GroupRingElem;
solverlog=tempname()*".log")
if !isfile(filename(sett, :OrbitData))
isdefined(parent(Δ), :basis) || throw("You need to define basis of Group Ring to compute orbit decomposition!")
orbit_data = OrbitData(parent(Δ), sett.autS)
isdefined(parent(orderunit), :basis) || throw("You need to define basis of Group Ring to compute orbit decomposition!")
orbit_data = OrbitData(parent(orderunit), sett.autS)
save(filename(sett, :OrbitData), "OrbitData", orbit_data)
end
orbit_data = load(filename(sett, :OrbitData), "OrbitData")
orbit_data = decimate(orbit_data)
@info "Creating SDP problem..."
SDP_problem, varP = SOS_problem(Δ^2, Δ, orbit_data, upper_bound=sett.upper_bound)
@info(Base.repr(SDP_problem))
SDP_problem, varP = SOS_problem(elt, orderunit, orbit_data, upper_bound=sett.upper_bound)
@info Base.repr(SDP_problem)
@info "Logging solver's progress into $solverlog"
ws = warmstart(sett)
@time status, ws = PropertyT.solve(solverlog, SDP_problem, sett.solver, ws)
@info "Optimization has finished:" status
@info "Optimization finished:" status
λ = value(SDP_problem[:λ])
Ps = [value.(P) for P in varP]
@ -148,7 +154,7 @@ function computeλandP(sett::Symmetrized, Δ::GroupRingElem;
@time P = reconstruct(Ps, orbit_data)
return λ, P
end
end
###############################################################################
#
@ -270,14 +276,12 @@ function spectral_gap(sett::Settings)
if !sett.warmstart && isfile(filename(sett, :solution))
λ, P = load(filename(sett, :solution), "λ", "P")
else
λ, P = computeλandP(sett, Δ,
λ, P = approximate_by_SOS(sett, Δ^2, Δ;
solverlog=filename(sett, :solverlog))
save(filename(sett, :solution), "λ", λ, "P", P)
if λ < 0
@warn "Solver did not produce a valid solution!"
end
λ < 0 && @warn "Solver did not produce a valid solution!"
end
info_strs = ["Numerical metrics of matrix solution:",