kalmar/PropertyT.jl
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func to check solution for particular k, A_sqrt, Delta

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kalmar 2017-02-11 13:45:56 +01:00
parent 604aa3a6b5
commit aedec8d564
1 changed files with 21 additions and 6 deletions
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27
property(T).jl
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@ -121,13 +121,28 @@ function correct_to_augmentation_ideal{T<:Rational}(sqrt_matrix::Array{T,2})
return sqrt_corrected
end
function check_solution{T<:Number}(κ::T,
sqrt_matrix::Array{T,2},
Δ::GroupAlgebraElement{T})
eoi = EOI(Δ, κ)
function check_solution(κ, sqrt_matrix, Δ; verbose=true, augmented=false)
result = compute_SOS(sqrt_matrix, Δ)
L₁_dist = norm(result - eoi,1)
return eoi - result, L₁_dist
if augmented
@assert GroupAlgebras.ɛ(result) == 0//1
end
SOS_diff = EOI(Δ, κ) - result
eoi_SOS_L₁_dist = norm(SOS_diff,1)
if verbose
if augmented
println("ɛ(Δ² - κΔ - ∑ξᵢ*ξᵢ) = ", GroupAlgebras.ɛ(SOS_diff))
else
ɛ_dist = Float64(round(GroupAlgebras.ɛ(SOS_diff),12))
println("ɛ(Δ² - κΔ - ∑ξᵢ*ξᵢ) ≈ $ɛ_dist")
end
L₁_dist = Float64(round(eoi_SOS_L₁_dist, 12))
println("‖Δ² - κΔ - ∑ξᵢ*ξᵢ‖₁ ≈ $L₁_dist")
end
distance_to_cone = 2^3*eoi_SOS_L₁_dist - κ
return distance_to_cone
end
function rationalize{T<:Integer, S<:Real}(::Type{T},