prime.cpp

RSA加密解密源码

#include "vlong.h"
#include "prime.h"
#include <stdlib.h>

vlong get_prime(int n);
vlong creat_rand(int n);

long is_probable_prime( const vlong &p )
{
	// Test based on Fermats theorem a**(p-1) = 1 mod p for prime p
	// For 1000 bit numbers this can take quite a while
	const rep = 4;
	const DWORD any[rep] =
	{
	2,3, 5, 7,/*11, 13, 17, 19,
	23, 29, 31, 37, 41, 43, 47, 53,
	59, 61, 67, 71, 73, 79, 83, 89,
	97, 101, 103, 107, 109, 113, 127, 131,
	137, 139, 149, 151, 157, 163, 167, 173,
	179, 181, 191, 193, 197, 199, 211, 223,
	227, 229, 233, 239, 241, 251, 257, 263,
	269, 271, 277, 281, 283, 293, 307, 311,
	313, 317, 331, 337, 347, 349, 353, 359,
	367, 373, 379, 383, 389, 397, 401, 409,
	419, 421, 431, 433, 439, 443, 449, 457,
	461, 463, 467, 479, 487, 491, 499, 503,
	509, 521, 523, 541, 547, 557, 563, 569,
	571, 577, 587, 593, 599, 601, 607, 613,
	617, 619, 631, 641, 643, 647, 653, 659,
	661, 673, 677, 683, 691, 701, 709, 719,
	727, 733, 739, 743, 751, 757, 761, 769,
	773, 787, 797, 809, 811, 821, 823, 827,
	829, 839, 853, 857, 859, 863, 877, 881,
	883, 887, 907, 911, 919, 929, 937, 941,
	947, 953, 967, 971, 977, 983, 991, 997,
	1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049,
	1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097,
	1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163,
	1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223,
	1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283,
	1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321,
	1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423,
	1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459,
	1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,
	1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571,
	1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619,
	1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693,
	1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747,
	1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811,
	1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877,
	1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949,
	1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003,
	2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069,
	2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129,
	2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203,
	2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267,
	2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311,
	2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377,
	2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423,
	2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503,
	2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579,
	2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657,
	2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693,
	2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741,
	2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801,
	2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861,
	2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939,
	2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011,
	3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079,
	3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167,
	3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221,
	3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301,
	3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347,
	3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413,
	3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491,
	3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541,
	3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607,
	3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671,
	3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727,
	3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797,
	3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863,
		3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923,
		3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003,
		4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057,
		4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129,
		4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211,
		4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259,
		4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337,
		4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409,
		4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481,
		4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547,
		4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621,
		4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673,
		4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751,
		4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813,
		4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909,
		4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967,
		4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011,
		5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087,
		5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167,
		5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233,
		5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309,
		5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399,
		5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443,
		5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507,
		5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573,
		5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653,
		5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711,
		5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791,
		5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849,
		5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897,
		5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007,
		6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073,
		6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133,
		6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211,
		6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271,
		6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329,
		6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379,
		6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473,
		6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563,
		6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637,
		6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701,
		6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779,
		6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833,
		6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907,
		6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971,
		6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027,
		7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121,
		7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207,
		7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253,
		7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349,
		7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457,
		7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517,
		7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561,
		7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621,
		7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691,
		7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757,
		7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853,
		7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919,
		7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009,
		8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087,
		8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161,
		8167, 8171, 8179, 8191*/
	};
	for ( DWORD i=0; i<rep; i+=1 )
	{
		if ( modexp( any[i], p-1, p ) != 1 )
			return 0;
	}
	return 1;
}



//----------------------------------------------
// 首先对np 和pl 进行初始化
// np 是筛选的个数
// pl 里面放的是需要筛选的具体数据
// 传入的邋MP 表示的筛选的范围，
// 这里设置成了2000 (是不是有点小)
//----------------------------------------------

prime_factory::prime_factory( DWORD MP )
{
	np = 0;
	
	// Initialise pl
	char * b = new char[MP+1]; // one extra to stop search
	for (DWORD i=0;i<=MP;i+=1) b[i] = 1;
	DWORD p = 2;
	while (1)
	{
		// skip composites
		while ( b[p] == 0 ) p += 1;
		if ( p == MP ) break;
		np += 1;
		// p的所有的倍数肯定就不用算了
		DWORD c = p*2;
		while ( c < MP )
		{
			b[c] = 0;
			c += p;
		}
		p += 1;
	}
	pl = new DWORD[np];
	np = 0;
	for (p=2;p<MP;p+=1)
	{
		if ( b[p] )
		{
			pl[np] = p;
			np += 1;
		}
	}
	delete [] b;
}

prime_factory::~prime_factory()
{
	delete [] pl;
}

vlong prime_factory::find_prime( vlong & start )
{

//return get_prime(128);
	DWORD SS = 1000; // should be enough unless we are unlucky
	char * b = new char[SS]; // bitset of candidate primes
	DWORD tested = 0;
	while (1)
	{
		DWORD i;
		for (i=0;i<SS;i+=1)
			b[i] = 1;
		for (i=0;i<np;i+=1)
		{
			DWORD p = pl[i];
			DWORD r = to_unsigned(start % p); // not as fast as it should be - could do with special routine
			if (r) r = p - r;
			// cross off multiples of p
			// 去掉所有能整除的数
			while ( r < SS )
			{
				b[r] = 0;
				r += p;
			}
		}
		// now test candidates
		for (i=0;i<SS;i+=1)
		{
			if ( b[i] )