Heavy hitter algorithm (get top-k token in a possibly infine set of token), in constant space. This version only allows a increments of 1 The design is based on "Efficient Computation of Frequent and Top-k Elements in Data Streams" by Metwally et al, available at www.cs.ucsb.edu/research/tech_reports/reports/2005-23.pdf‎

heavy_hitter.lua

-- Copyright (C) 2013 Matthieu Tourne
-- @author Matthieu Tourne <[email protected]>

local M = {}

--------------------
--- Heavy Hitter ---
--------------------

local obj_mt = { __index = M }

local function init_scores(size)
   local scores = {}

   -- set all scores[card] = (score, token)
   --         scores[token] = (score, card)
   for i=1, size do
      scores[i] = { score = i, token = 'foo' .. i }
      scores['foo' .. i ] = { score = i, card = i }
   end

   return scores
end

local function swap_score(scores, card1, card2)
   local scores = scores
   local t1 = scores[card1]
   local t2 = scores[card2]
   scores[card1] = t2
   scores[card2] = t1

   -- change scores[token]
   scores[t1.token].card = card2
   scores[t2.token].card = card1

   return true
end

function M.new(self, size)

   local obj = {

      scores = init_scores(size),
      overestimates = {},

      size = size,
   }

   return setmetatable(obj, obj_mt)
end


local function incr_score(scores, card, incr)
   local t = scores[card]
   local swap

   local new_score = t.score + incr

   if incr == 1 then
      t.score = new_score
      -- bubble sort with card + 1
      local next_t = scores[card + 1]
      while next_t and new_score > next_t.score do
         swap = swap_score(scores, card, card + 1)
         card = card + 1
         next_t = scores[card + 1]
      end

      return card, swap
   else
      -- TODO (mtourne) bin search between cards
   end

end


function M.insert(self, token, incr)
   -- TODO (support incr)
   local incr = 1
   local scores = self.scores

   local t = scores[token]
   if t then
      -- token already present
      return incr_score(scores, t.card, incr)
   else
      local t1 = scores[1]
      scores[t1.token] = nil
      -- set token for first card in the list
      t1.token = token
      scores[token] = { score = t1.score,
                        card = 1 }
      -- increment 1 token in the cardinal list
      return incr_score(scores, 1, incr)
   end
end

function M.dump_ordered(self)
   return unpack(self.scores)
end

return M