Files
linguist/samples/PLSQL/prime#.plsql
2015-03-14 19:59:25 +00:00

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create or replace package prime#
is
invalid_argument_error exception;
function nth (
i_num pls_integer
) return number;
end prime#;
/
create or replace package body prime#
is
type t_primes is table of number index by pls_integer;
b_primes t_primes;
function is_prime(
i_candidate number
) return boolean
is
l_num number := 1;
l_prime number;
l_result number;
begin
if i_candidate < 2 then
return false;
end if;
loop
l_prime := nth(l_num);
if l_prime = i_candidate then
return true;
end if;
l_result := i_candidate / l_prime;
if l_result = ceil(l_result) then
return false;
end if;
l_num := l_num + 1;
exit when l_result <= l_prime;
end loop;
return true;
end is_prime;
function next (
i_prime pls_integer
) return number
is
l_next number;
begin
l_next := i_prime + case mod(i_prime, 2) when 0 then 1 else 2 end;
while not is_prime(l_next) loop
l_next := l_next + 2;
end loop;
return l_next;
end next;
function nth (
i_num pls_integer
) return number
is
l_index number := 2;
l_prime number := 3;
begin
if i_num < 1
or ceil(i_num) != i_num
then
raise invalid_argument_error;
end if;
case i_num
when 1 then return 2;
else
if b_primes.exists(i_num) then
return b_primes(i_num);
end if;
while l_index < i_num loop
l_index := l_index + 1;
if b_primes.exists(l_index) then
l_prime := b_primes(l_index);
else
l_prime := next(l_prime);
b_primes(l_index) := l_prime;
end if;
end loop;
return l_prime;
end case;
end nth;
end prime#;
/