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Added prime number offset generation
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bin_PROGRAMS = namescan | ||
namescan_SOURCES = main.c radar.c scanner.c sock.c dns.c fingerprint.c log.c cmdline.c cmdline.h config.h dns.h fingerprint.h log.h radar.h scanner.h sock.h list.c list.h | ||
namescan_SOURCES = main.c radar.c scanner.c sock.c dns.c fingerprint.c log.c cmdline.c cmdline.h config.h dns.h fingerprint.h log.h radar.h scanner.h sock.h list.c list.h millerrabin.c millerrabin.h | ||
AM_CPPFLAGS = -Wall -Werror |
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#include <millerrabin.h> | ||
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/* | ||
Code taken from | ||
http://rosettacode.org/wiki/Miller-Rabin_primality_test#Deterministic_up_to_341.2C550.2C071.2C728.2C321 | ||
*/ | ||
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// calcul a^n%mod | ||
size_t power(size_t a, size_t n, size_t mod) | ||
{ | ||
size_t power = a; | ||
size_t result = 1; | ||
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while (n) | ||
{ | ||
if (n & 1) | ||
result = (result * power) % mod; | ||
power = (power * power) % mod; | ||
n >>= 1; | ||
} | ||
return result; | ||
} | ||
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// n−1 = 2^s * d with d odd by factoring powers of 2 from n−1 | ||
bool witness(size_t n, size_t s, size_t d, size_t a) | ||
{ | ||
size_t x = power(a, d, n); | ||
size_t y = 0; | ||
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while (s) { | ||
y = (x * x) % n; | ||
if (y == 1 && x != 1 && x != n-1) | ||
return false; | ||
x = y; | ||
--s; | ||
} | ||
if (y != 1) | ||
return false; | ||
return true; | ||
} | ||
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/* | ||
* if n < 1,373,653, it is enough to test a = 2 and 3; | ||
* if n < 9,080,191, it is enough to test a = 31 and 73; | ||
* if n < 4,759,123,141, it is enough to test a = 2, 7, and 61; | ||
* if n < 1,122,004,669,633, it is enough to test a = 2, 13, 23, and 1662803; | ||
* if n < 2,152,302,898,747, it is enough to test a = 2, 3, 5, 7, and 11; | ||
* if n < 3,474,749,660,383, it is enough to test a = 2, 3, 5, 7, 11, and 13; | ||
* if n < 341,550,071,728,321, it is enough to test a = 2, 3, 5, 7, 11, 13, and 17. | ||
*/ | ||
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bool is_prime_mr(size_t n) | ||
{ | ||
if (((!(n & 1)) && n != 2 ) || (n < 2) || (n % 3 == 0 && n != 3)) | ||
return false; | ||
if (n <= 3) | ||
return true; | ||
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size_t d = n / 2; | ||
size_t s = 1; | ||
while (!(d & 1)) { | ||
d /= 2; | ||
++s; | ||
} | ||
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if (n < 1373653) | ||
return witness(n, s, d, 2) && witness(n, s, d, 3); | ||
if (n < 9080191) | ||
return witness(n, s, d, 31) && witness(n, s, d, 73); | ||
if (n < 4759123141) | ||
return witness(n, s, d, 2) && witness(n, s, d, 7) && witness(n, s, d, 61); | ||
if (n < 1122004669633) | ||
return witness(n, s, d, 2) && witness(n, s, d, 13) && witness(n, s, d, 23) && witness(n, s, d, 1662803); | ||
if (n < 2152302898747) | ||
return witness(n, s, d, 2) && witness(n, s, d, 3) && witness(n, s, d, 5) && witness(n, s, d, 7) && witness(n, s, d, 11); | ||
if (n < 3474749660383) | ||
return witness(n, s, d, 2) && witness(n, s, d, 3) && witness(n, s, d, 5) && witness(n, s, d, 7) && witness(n, s, d, 11) && witness(n, s, d, 13); | ||
return witness(n, s, d, 2) && witness(n, s, d, 3) && witness(n, s, d, 5) && witness(n, s, d, 7) && witness(n, s, d, 11) && witness(n, s, d, 13) && witness(n, s, d, 17); | ||
} |
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#ifndef __MILLERRABIN_H__ | ||
#define __MILLERRABIN_H__ | ||
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#include <stdbool.h> | ||
#include <unistd.h> | ||
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/* Returns true is n is prime, using the Miller-Rabin algorhytm */ | ||
bool is_prime_mr(size_t n); | ||
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#endif |
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