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https://github.com/kalmarek/PropertyT.jl.git
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replace rationalise&project with interval&project
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@ -48,16 +48,6 @@ function compute_SOS(Q::AbstractArray, pm::Array{Int,2}, l::Int)
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return result
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end
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function correct_to_augmentation_ideal{T<:Rational}(sqrt_matrix::Array{T,2})
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l = size(sqrt_matrix, 2)
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sqrt_corrected = Array{Interval{Float64}}(l,l)
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Threads.@threads for j in 1:l
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col = sum(view(sqrt_matrix, :,j))//l
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for i in 1:l
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sqrt_corrected[i,j] = (Float64(sqrt_matrix[i,j]) - Float64(col)) ± eps(0.0)
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end
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end
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return sqrt_corrected
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end
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function distance_to_cone{S<:Interval}(elt::GroupRingElem, Q::AbstractArray{S,2}, wlen::Int)
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@ -88,17 +78,21 @@ function distance_to_cone{T}(elt::GroupRingElem, Q::AbstractArray{T,2}, wlen::In
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return dist
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end
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function augIdproj{T, I<:AbstractInterval}(S::Type{I}, Q::AbstractArray{T,2})
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l = size(Q, 2)
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R = zeros(Interval, (l,l))
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Threads.@threads for j in 1:l
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col = sum(view(Q, :,j))/l
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for i in 1:l
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R[i,j] = Q[i,j] - col ± eps(0.0)
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end
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end
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return R
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end
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function rationalize_and_project{T}(Q::AbstractArray{T}, δ::T, logger)
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info(logger, "")
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info(logger, "Rationalizing with accuracy $δ")
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t = @timed Q = ℚ(Q, δ)
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info(logger, timed_msg(t))
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info(logger, "Projecting columns of the rationalized Q to the augmentation ideal...")
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t = @timed Q = correct_to_augmentation_ideal(Q)
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info(logger, timed_msg(t))
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function augIdproj{T}(Q::AbstractArray{T,2}, logger)
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info(logger, "Projecting columns of Q to the augmentation ideal...")
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@logtime logger Q = augIdproj(Interval, Q)
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info(logger, "Checking that sum of every column contains 0.0... ")
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check = all([0.0 in sum(view(Q, :, i)) for i in 1:size(Q, 2)])
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