fixpoint-fact.lua

--[[
MIT License

Copyright (c) 2017 Gabriel de Quadros Ligneul

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
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The above copyright notice and this permission notice shall be included in all
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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SOFTWARE.
]]
local function prequire(name) local success, result = pcall(require, name); return success and result end
local bench = script and require(script.Parent.bench_support) or prequire("bench_support") or require("../../bench_support")

function test()


-- fixed-point operator
local Z = function (le)
      local a = function (f)
        return le(function (x) return f(f)(x) end)
      end
      return a(a)
    end


-- non-recursive factorial

local F = function (f)
      return function (n)
               if n == 0 then return 1
               else return n*f(n-1) end
             end
    end

local fat = Z(F)

local s = 0
for i = 1, (arg and arg[1]) or 1000 do s = s + fat(i) end
--print(s)


end

bench.runCode(test, "fixpoint-fact")