50 lines
1.7 KiB
Julia
50 lines
1.7 KiB
Julia
using LinearAlgebra, DelimitedFiles
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"Sum over array while minimizing catastrophic cancellation as much as possible"
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function better_sum(arr::Array{Float64})
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pos_arr = arr[arr .> 0]
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neg_arr = arr[arr .< 0]
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sort!(pos_arr)
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sort!(neg_arr, rev=true)
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return sum(pos_arr) + sum(neg_arr)
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end
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better_sum(arr::Array{ComplexF64}) = better_sum(real.(arr)) + 1im * better_sum(imag.(arr))
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"The triangle inequality for angular momenta"
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triangle_ineq(l1, l2, L) = abs(l1 - l2) ≤ L && L ≤ (l1 + l2)
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"Index of the nearest value in a list to a given reference point"
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nearestIndex(list::Array, ref) = argmin(norm.(list .- ref))
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"Nearest value in a list to a given reference point"
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nearest(list::Array, ref) = list[nearestIndex(list, ref)]
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"Simple implementation of the Kronecker sum"
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function kron_sum(A::AbstractMatrix, B::AbstractMatrix)
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@assert size(A, 1) == size(A, 2) && size(B, 1) == size(B, 2) "Matrices should be square"
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return kron(A, I(size(B, 1))) + kron(I(size(A, 1)), B)
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end
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"Flattened vector version of Iterators.product(...) with index hierachy reversed -- leftmost index has the highest hierachy"
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iter_prod(args...) = reverse.(collect(Iterators.product(reverse(args)...))[:])
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"Export CSV data for a scatter plot taking in data as a list of complex vectors (x=Re, y=Im), and a list of corresponding labels, typically used for EC results"
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function exportCSV(file::String, data, labels=nothing)
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columns = ["x" "y" "label"]
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if isnothing(labels)
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columns[end] = ""
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labels = fill("", length(data))
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end
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open(file, "w") do f
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writedlm(f, columns)
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for (d, label) in zip(data, labels)
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l = fill(label, length(d))
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writedlm(f, hcat(reim(d)..., l))
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end
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end
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end |