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          The ideal way to optimize the constants would be to have a carefully-tuned
          lookup-table instead of the get_max_count
          function, but 4 tuning variables is simpler, get_max_count
          enforces worst-case performance minimization rules, and such a lookup table
          would be difficult to optimize for cross-platform performance.
        
          Alternatively, get_max_count
          could be used to generate a static lookup table. This hasn't been done
          due to concerns about cross-platform compatibility and flexibility.