safeweights(<:AbstractVector{T})::AbstractVector{T}

ensures that the sum of the weights

• does not exceed 1
• approaches or is equal to 1

one(T) >= safesum > prevfloat(one(T), k)

• safesum = sum(safeweights(weights))
• k <= ceil(1 + log10(wlength) + wlength^(5/16))
• wlength = length(weights)

note: This normalization is not the same as calling LinearAlgebra.normalize(weights); that divides each weight by their 2-norm (the sqrt of the sum of squares). If your application expects weights to be normalized using something other the 1-norm, do the normalization yourself.

See also: weights