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PropertyT.jl
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rename \epsilon -> augmentation

This commit is contained in:
kalmar 2017-05-28 20:01:03 +02:00
parent b589fb9844
commit 347c09c598
1 changed files with 4 additions and 4 deletions
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8
src/checksolution.jl
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@ -66,7 +66,7 @@ function distance_to_cone{T<:Rational}(λ::T, sqrt_matrix::Array{T,2}, Δ::Group
eoi_SOS_L₁_dist = norm(SOS_diff,1)
info(logger, "λ = $λ (≈$(@sprintf("%.10f", float(λ)))")
ɛ_dist = GroupAlgebras.ɛ(SOS_diff)
ɛ_dist = GroupRings.augmentation(SOS_diff)
if ɛ_dist ≠ 0//1
warn(logger, "The SOS is not in the augmentation ideal, number below are meaningless!")
end
@ -79,14 +79,14 @@ end
function distance_to_cone{T<:Rational, S<:Interval}(λ::T, sqrt_matrix::Array{S,2}, Δ::GroupRingElem{T})
SOS = compute_SOS(sqrt_matrix, Δ)
info(logger, "ɛ(∑ξᵢ*ξᵢ) ∈ $(GroupAlgebras.ɛ(SOS))")
info(logger, "ɛ(∑ξᵢ*ξᵢ) ∈ $(GroupRings.augmentation(SOS))")
λⁱⁿᵗ = @interval(λ)
Δⁱⁿᵗ = GroupRingElem([@interval(c) for c in Δ.coeffs], parent(Δ).pm)
SOS_diff = EOI(Δⁱⁿᵗ, λⁱⁿᵗ) - SOS
eoi_SOS_L₁_dist = norm(SOS_diff,1)
info(logger, "λ = $λ (≈≥$(@sprintf("%.10f",float(λ))))")
ɛ_dist = GroupAlgebras.ɛ(SOS_diff)
ɛ_dist = GroupRings.augmentation(SOS_diff)
info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ∈ $(ɛ_dist)")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ∈ $(eoi_SOS_L₁_dist)")
@ -102,7 +102,7 @@ function distance_to_cone{T<:AbstractFloat}(λ::T, sqrt_matrix::Array{T,2}, Δ::
eoi_SOS_L₁_dist = norm(SOS_diff,1)
info(logger, "λ = $λ")
ɛ_dist = GroupAlgebras.ɛ(SOS_diff)
ɛ_dist = GroupRings.augmentation(SOS_diff)
info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ≈ $(@sprintf("%.10f", ɛ_dist))")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ≈ $(@sprintf("%.10f", eoi_SOS_L₁_dist))")