commit f7da49b0c0241b05d6bccb7bf68838763a899637 Author: Peter J. Holzer Date: Fri Dec 25 19:45:17 2020 +0100 Compute primes for 1 second in C diff --git a/C/Makefile b/C/Makefile new file mode 100644 index 0000000..8835bd5 --- /dev/null +++ b/C/Makefile @@ -0,0 +1,3 @@ +CFLAGS = -O9 -Wall + +all: eratosthenes_1sec diff --git a/C/eratosthenes_1sec.c b/C/eratosthenes_1sec.c new file mode 100644 index 0000000..1527abf --- /dev/null +++ b/C/eratosthenes_1sec.c @@ -0,0 +1,63 @@ +#include +#include +#include +#include +#include +#include + +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); + +}