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distence_to_cone(...) where {T<:...} does all the logging

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kalmarek 2018-01-01 23:49:27 +01:00
parent 5918e20569
commit b2f4360ef4
1 changed files with 32 additions and 4 deletions
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36
src/CheckSolution.jl
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@ -79,14 +79,42 @@ function augIdproj{T}(Q::AbstractArray{T,2}, logger)
return Q return Q
end end
function distance_to_positive_cone(Δ::GroupRingElem, λ, Q, wlen::Int, logger) function distance_to_cone(elt::GroupRingElem, λ::T, Q::AbstractArray{T,2}, wlen::Int, logger) where {T<:AbstractFloat}
info(logger, "------------------------------------------------------------") info(logger, "------------------------------------------------------------")
info(logger, "λ = $λ") info(logger, "λ = $λ")
info(logger, "Checking in floating-point arithmetic...") info(logger, "Checking in floating-point arithmetic...")
Δ²_λΔ = EOI(Δ, λ) @logtime logger SOS_diff = elt - compute_SOS(Q, parent(elt), length(elt.coeffs))
@logtime logger fp_distance = λ - distance_to_cone(Δ²_λΔ, Q, wlen) dist, ɛ_dist, eoi_SOS_L1_dist = distances_to_cone(SOS_diff, wlen)
info(logger, "Floating point distance (to positive cone) ≈ $(@sprintf("%.10f", fp_distance))") info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ≈ $(@sprintf("%.10f", ɛ_dist))")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ≈ $(@sprintf("%.10f", eoi_SOS_L1_dist))")
fp_distance = λ - dist
info(logger, "Floating point distance (to positive cone) ≈")
info(logger, "$(@sprintf("%.10f", fp_distance))")
info(logger, "")
return fp_distance
end
function distance_to_cone(elt::GroupRingElem, λ::T, Q::AbstractArray{T,2}, wlen::Int, logger) where {T<:AbstractInterval}
info(logger, "------------------------------------------------------------") info(logger, "------------------------------------------------------------")
info(logger, "λ = $λ")
info(logger, "Checking in interval arithmetic...")
@logtime logger SOS_diff = elt - compute_SOS(Q, parent(elt), length(elt.coeffs))
dist, ɛ_dist, eoi_SOS_L1_dist = distances_to_cone(SOS_diff, wlen)
info(logger, "ɛ(∑ξᵢ*ξᵢ) ∈ $(ɛ_dist)")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ∈ $(eoi_SOS_L1_dist)")
int_distance = λ - dist
info(logger, "The Augmentation-projected actual distance (to positive cone) ∈")
info(logger, "$(int_distance)")
info(logger, "")
return int_distance
end
if fp_distance ≤ 0 if fp_distance ≤ 0
return fp_distance return fp_distance