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Rewriting prime module

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This commit is contained in:
Daniil Gentili 2016-07-19 22:30:42 +02:00
parent 4f02410de0
commit 2cc6300bb5
2 changed files with 35 additions and 1 deletions
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33
prime.php
View File

@ -8,9 +8,40 @@ class PrimeModule
{
$this->smallprimeset = array_unique($this->primesbelow(100000));
$this->_smallprimeset = 100000;
$this->primesbelowtwo(10000);
$this->smallprimes = $this->primesbelow(10000);
}
/*
def primesbelow(N):
# http://stackoverflow.com/questions/2068372/fastest-way-to-list-all-primes-below-n-in-python/3035188#3035188
#""" Input N>=6, Returns a list of primes, 2 <= p < N """
correction = N % 6 > 1
N = {0:N, 1:N-1, 2:N+4, 3:N+3, 4:N+2, 5:N+1}[N%6]
sieve = [True] * (N // 3)
sieve[0] = False
for i in range(int(N ** .5) // 3 + 1):
if sieve[i]:
k = (3 * i + 1) | 1
print(len(sieve[k*k // 3::2*k]))
print(((N // 6 - (k*k)//6 - 1)//k +1))
sieve[k*k // 3::2*k] = [False] * ((N//6 - (k*k)//6 - 1)//k + 1)
sieve[(k*k + 4*k - 2*k*(i%2)) // 3::2*k] = [False] * ((N // 6 - (k*k + 4*k - 2*k*(i%2))//6 - 1) // k + 1)
return [2, 3] + [(3 * i + 1) | 1 for i in range(1, N//3 - correction) if sieve[i]]
*/
public function primesbelowtwo($N) {
$correction = posmod($N, 6) > 1;
$N = [$N, $N - 1, $N + 4, $N + 3, $N + 2, $N + 1][$N%6];
$sieve = array_fill(0, floor($N/3), true);
$sieve[0] = false;
foreach (range(0, floor(floor(pow($N, 0.5)) / 3) + 1) as $i) {
if($sieve[$i]) {
$k = (3 * $i + 1) | 1;
array_walk($sieve, function (&$val, $key, $range) { if(in_array($key, $range)) $val = false; }, pyjslib_range(floor(($k*$k) / 3), count($sieve), 2*$k));
array_walk($sieve, function (&$val, $key, $range) { if(in_array($key, $range)) $val = false; }, pyjslib_range(floor((($k*$k) + (4*$k) - (2*$k*posmod($i, 2))) / 3), count($sieve), 2*$k));
}
}
var_dump($sieve);
}
public function primesbelow($N)
{
$res = [];

3
prime.py
View File

@ -7,11 +7,14 @@ def primesbelow(N):
#""" Input N>=6, Returns a list of primes, 2 <= p < N """
correction = N % 6 > 1
N = {0:N, 1:N-1, 2:N+4, 3:N+3, 4:N+2, 5:N+1}[N%6]
print(N)
sieve = [True] * (N // 3)
sieve[0] = False
for i in range(int(N ** .5) // 3 + 1):
if sieve[i]:
k = (3 * i + 1) | 1
print(len(sieve[k*k // 3::2*k]))
print(((N // 6 - (k*k)//6 - 1)//k +1))
sieve[k*k // 3::2*k] = [False] * ((N//6 - (k*k)//6 - 1)//k + 1)
sieve[(k*k + 4*k - 2*k*(i%2)) // 3::2*k] = [False] * ((N // 6 - (k*k + 4*k - 2*k*(i%2))//6 - 1) // k + 1)
return [2, 3] + [(3 * i + 1) | 1 for i in range(1, N//3 - correction) if sieve[i]]