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Commit | Line | Data |
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21d3294c | 1 | -- the sieve of of Eratosthenes programmed with coroutines |
2 | -- typical usage: lua -e N=1000 sieve.lua | column | |
3 | ||
4 | -- generate all the numbers from 2 to n | |
5 | function gen (n) | |
6 | return coroutine.wrap(function () | |
7 | for i=2,n do coroutine.yield(i) end | |
8 | end) | |
9 | end | |
10 | ||
11 | -- filter the numbers generated by `g', removing multiples of `p' | |
12 | function filter (p, g) | |
13 | return coroutine.wrap(function () | |
14 | while 1 do | |
15 | local n = g() | |
16 | if n == nil then return end | |
17 | if math.mod(n, p) ~= 0 then coroutine.yield(n) end | |
18 | end | |
19 | end) | |
20 | end | |
21 | ||
22 | N=N or 1000 -- from command line | |
23 | x = gen(N) -- generate primes up to N | |
24 | while 1 do | |
25 | local n = x() -- pick a number until done | |
26 | if n == nil then break end | |
27 | print(n) -- must be a prime number | |
28 | x = filter(n, x) -- now remove its multiples | |
29 | end |