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add word length to distance_to_cone

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kalmar 2017-06-04 20:28:45 +02:00
parent 9dfcb49d00
commit e544e94be0
1 changed files with 10 additions and 10 deletions
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20
src/checksolution.jl
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@ -59,7 +59,7 @@ end
ℚ(x, tol::Real) = rationalize(BigInt, x, tol=tol)
function distance_to_cone{T<:Rational}(λ::T, sqrt_matrix::Array{T,2}, Δ::GroupRingElem{T})
function distance_to_cone{T<:Rational}(λ::T, sqrt_matrix::Array{T,2}, Δ::GroupRingElem{T}; len=4)
SOS = compute_SOS(sqrt_matrix, Δ)
SOS_diff = EOI(Δ, λ) - SOS
@ -73,11 +73,11 @@ function distance_to_cone{T<:Rational}(λ::T, sqrt_matrix::Array{T,2}, Δ::Group
info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) = $ɛ_dist")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ = $(@sprintf("%.10f", float(eoi_SOS_L₁_dist)))")
distance_to_cone = λ - 2^3*eoi_SOS_L₁_dist
distance_to_cone = λ - 2^(len-1)*eoi_SOS_L1_dist
return distance_to_cone
end
function distance_to_cone{T<:Rational, S<:Interval}(λ::T, sqrt_matrix::Array{S,2}, Δ::GroupRingElem{T})
function distance_to_cone{T<:Rational, S<:Interval}(λ::T, sqrt_matrix::Array{S,2}, Δ::GroupRingElem{T}; len=4)
SOS = compute_SOS(sqrt_matrix, Δ)
info(logger, "ɛ(∑ξᵢ*ξᵢ) ∈ $(GroupRings.augmentation(SOS))")
λⁱⁿᵗ = @interval(λ)
@ -91,11 +91,11 @@ function distance_to_cone{T<:Rational, S<:Interval}(λ::T, sqrt_matrix::Array{S,
info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ∈ $(ɛ_dist)")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ∈ $(eoi_SOS_L₁_dist)")
distance_to_cone = λ - 2^3*eoi_SOS_L₁_dist
distance_to_cone = λ - 2^(len-1)*eoi_SOS_L₁_dist
return distance_to_cone
end
function distance_to_cone{T<:AbstractFloat}(λ::T, sqrt_matrix::Array{T,2}, Δ::GroupRingElem{T})
function distance_to_cone{T<:AbstractFloat}(λ::T, sqrt_matrix::Array{T,2}, Δ::GroupRingElem{T}; len=4)
SOS = compute_SOS(sqrt_matrix, Δ)
SOS_diff = EOI(Δ, λ) - SOS
@ -106,12 +106,12 @@ function distance_to_cone{T<:AbstractFloat}(λ::T, sqrt_matrix::Array{T,2}, Δ::
info(logger, "ɛ(Δ² - λΔ - ∑ξᵢ*ξᵢ) ≈ $(@sprintf("%.10f", ɛ_dist))")
info(logger, "‖Δ² - λΔ - ∑ξᵢ*ξᵢ‖₁ ≈ $(@sprintf("%.10f", eoi_SOS_L₁_dist))")
distance_to_cone = λ - 2^3*eoi_SOS_L₁_dist
distance_to_cone = λ - 2^(len-1)*eoi_SOS_L₁_dist
return distance_to_cone
end
function check_distance_to_positive_cone(Δ::GroupRingElem, λ, P;
tol=1e-7, rational=false)
tol=1e-7, rational=false, len=4)
isapprox(eigvals(P), abs(eigvals(P)), atol=tol) ||
warn("The solution matrix doesn't seem to be positive definite!")
@ -121,7 +121,7 @@ function check_distance_to_positive_cone(Δ::GroupRingElem, λ, P;
info(logger, "------------------------------------------------------------")
info(logger, "")
info(logger, "Checking in floating-point arithmetic...")
t = @timed fp_distance = distance_to_cone(λ, Q, Δ)
t = @timed fp_distance = distance_to_cone(λ, Q, Δ, len=len)
info(logger, timed_msg(t))
info(logger, "Floating point distance (to positive cone) ≈ $(@sprintf("%.10f", fp_distance))")
info(logger, "------------------------------------------------------------")
@ -140,7 +140,7 @@ function check_distance_to_positive_cone(Δ::GroupRingElem, λ, P;
info(logger, "Checking in interval arithmetic")
Q_ℚωⁱⁿᵗ = Float64.(Q_ℚω) ± δ
t = @timed Interval_dist_to_Σ² = distance_to_cone(λ_ℚ, Q_ℚωⁱⁿᵗ, Δ_ℚ)
t = @timed Interval_dist_to_Σ² = distance_to_cone(λ_ℚ, Q_ℚω_int, Δ_ℚ, len=len)
info(logger, timed_msg(t))
info(logger, "The Augmentation-projected actual distance (to positive cone) ∈ $(Interval_dist_to_Σ²)")
info(logger, "------------------------------------------------------------")
@ -149,7 +149,7 @@ function check_distance_to_positive_cone(Δ::GroupRingElem, λ, P;
return Interval_dist_to_Σ²
else
info(logger, "Checking Projected SOS decomposition in exact rational arithmetic...")
t = @timed ℚ_dist_to_Σ² = distance_to_cone(λ_ℚ, Q_ℚω, Δ_ℚ)
t = @timed ℚ_dist_to_Σ² = distance_to_cone(λ_ℚ, Q_ℚω, Δ_ℚ, len=len)
info(logger, timed_msg(t))
@assert isa(ℚ_dist_to_Σ², Rational)
info(logger, "Augmentation-projected rational distance (to positive cone) ≥ $(Float64(trunc(ℚ_dist_to_Σ²,8)))")