How to make a Set of real values based on rtol?

General Usage
3

Or for the simple,

function filter_approx!(cur_vector; atol=5e-2)
  delete_indices = []

  for (cur_index, cur_value) in enumerate(cur_vector)
    is_duplicate = any(
      tmp_value -> isapprox(tmp_value, cur_value, atol=atol),
      cur_vector[1:cur_index-1]
    )

    is_duplicate || continue
    push!(delete_indices, cur_index)
  end

  deleteat!(cur_vector, delete_indices)

  cur_vector
end

With,

tmp_vector = [1.0 .+ i * 5e7 * eps() for i in 0:2]
filter_approx!(tmp_vector)

println(tmp_vector)

>> [1.0]

Further convenience methods,

function approx_push!(cur_vector, cur_value; atol=5e-2)
  is_duplicate = any(
    tmp_value -> isapprox(tmp_value, cur_value, atol=atol),
    cur_vector
  )

  is_duplicate && return cur_vector
  push!(cur_vector, cur_value)  
end

function approx_append!(cur_vector, other_vector; atol=5e-2)
  append!(cur_vector, other_vector)  
  filter_approx!(cur_vector; atol=atol)

  cur_vector
end