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