sieve of eratosthenes
Erlang
% Sieve of Erastosthenes whatever in Erlang
% Written by Robert Hoelz
%
% To run, load the Erlang shell (erl), and type the following:
% c(sieve).
% sieve:main(<num>).
-module(sieve).
-export([main/1, loop/1, initPrimes/1, buildPrimes/2, buildPrimesLoop/5, removeMultiples/3, nextPrime/3, feedRest/3]).
buildPrimes(Limit, Printer) ->
buildPrimesLoop(Limit, Printer, initPrimes(Limit), 0, 2).
buildPrimesLoop(Limit, Printer, Primes, Index, CurrPrime) ->
if
CurrPrime * CurrPrime > Limit ->
feedRest(Printer, Primes, 0);
true ->
Printer ! CurrPrime,
ModPrimes = removeMultiples(Primes, CurrPrime, 0),
buildPrimesLoop(Limit, Printer, ModPrimes, Index + 1, nextPrime(ModPrimes, 0, CurrPrime + 1))
end.
removeMultiples([], _, _) ->
[];
removeMultiples([Head|Tail], Base, Index) ->
if
Index rem Base == 0 ->
[0|removeMultiples(Tail, Base, Index + 1)];
true ->
[Head|removeMultiples(Tail, Base, Index + 1)]
end.
nextPrime([], Index, _) ->
Index;
nextPrime([Head|Tail], Index, CurrPrime) ->
if
CurrPrime == Index ->
if
Head == 1 ->
CurrPrime;
true ->
nextPrime(Tail, CurrPrime + 1, Index + 1)
end;
true ->
nextPrime(Tail, Index + 1, CurrPrime)
end.
feedRest(Printer, [], _) ->
Printer ! stop;
feedRest(Printer, [Head|Tail], Index) ->
if
Head == 1 ->
Printer ! Index;
Head == 0 ->
true
end,
feedRest(Printer, Tail, Index + 1).
initPrimes(Limit) ->
if
Limit == 1 ->
[0, 0];
true ->
lists:append(initPrimes(Limit - 1),[1])
end.
main(Limit) ->
Printer = spawn(sieve, loop, [self()]),
buildPrimes(Limit, Printer),
receive
done ->
true
end.
loop(Pid) ->
receive
stop ->
io:format("~n");
Num ->
io:format("~B ", [Num]),
loop(Pid)
end,
Pid ! done.
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