eratosthenes_1sec/C/eratosthenes_1sec.c

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2020-12-25 19:45:17 +01:00
#include <assert.h>
#include <inttypes.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
typedef uint64_t prime_t;
int main(void) {
struct timespec ts;
double t0, t1;
clock_gettime(CLOCK_MONOTONIC, &ts);
t0 = ts.tv_sec + ts.tv_nsec * 1E-9;
// Initialize
uint8_t *is_prime;
prime_t n = 4;
is_prime = malloc(n);
is_prime[0] = 0;
is_prime[1] = 0;
is_prime[2] = 1;
is_prime[3] = 1;
for (;;) {
clock_gettime(CLOCK_MONOTONIC, &ts);
t1 = ts.tv_sec + ts.tv_nsec * 1E-9;
if (t1 - t0 >= 1.0) break;
prime_t n1 = n * 2;
assert(n1 > n);
is_prime = realloc(is_prime, n1);
assert(is_prime);
memset(is_prime + n, 1, n1 - n);
for (prime_t i = 2; i < n1; i++) {
if (!is_prime[i]) continue;
// printf("%ju is prime:", (uintmax_t)i);
prime_t m = (n + (i - 1)) / i * i;
if (m == i) m += i;
for (; m < n1; m += i) {
// printf(" %ju", (uintmax_t)m);
is_prime[m] = 0;
}
// printf("\n");
}
n = n1;
}
prime_t n_primes = 0;
for (prime_t i = 0; i < n; i++) {
if (is_prime[i]) {
// printf("%ju\n", (uintmax_t)i);
n_primes++;
}
}
printf("%ju primes <= %ju in %g seconds\n", (uintmax_t)n_primes, (uintmax_t)n, t1 - t0);
}