RosettaCodeData/Task/Left-factorials/Lua/left-factorials.lua

29 lines
695 B
Lua

-- Lua bindings for GNU bc
require("bc")
-- Return table of factorials from 0 to n
function facsUpTo (n)
local f, fList = bc.number(1), {}
fList[0] = 1
for i = 1, n do
f = bc.mul(f, i)
fList[i] = f
end
return fList
end
-- Return left factorial of n
function leftFac (n)
local sum = bc.number(0)
for k = 0, n - 1 do sum = bc.add(sum, facList[k]) end
return bc.tostring(sum)
end
-- Main procedure
facList = facsUpTo(10000)
for i = 0, 10 do print("!" .. i .. " = " .. leftFac(i)) end
for i = 20, 110, 10 do print("!" .. i .. " = " .. leftFac(i)) end
for i = 1000, 10000, 1000 do
print("!" .. i .. " contains " .. #leftFac(i) .. " digits")
end