大数运算库源文件.docx
《大数运算库源文件.docx》由会员分享，可在线阅读，更多相关《大数运算库源文件.docx（29页珍藏版）》请在冰点文库上搜索。
大数运算库源文件
/*****************************************************************
大数运算库源文件：
BigInt.cpp
说明：
适用于MFC，1024位RSA运算
*****************************************************************/
//#include"stdafx.h"
#include"BigInt.h"
//小素数表
conststaticintPrimeTable[1230]=
{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,
8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,
8231,8233,8237,8243,8263,8269,8273,8287,8291,8293,
8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,
8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,
8521,8527,8537,8539,8543,8563,8573,8581,8597,8599,
8609,8623,8627,8629,8641,8647,8663,8669,8677,8681,
8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,
8753,8761,8779,8783,8803,8807,8819,8821,8831,8837,
8839,8849,8861,8863,8867,8887,8893,8923,8929,8933,
8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,
9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,
9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,
9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,
9311,9319,9323,9337,9341,9343,9349,9371,9377,9391,
9397,9403,9413,9419,9421,9431,9433,9437,9439,9461,
9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,
9547,9551,9587,9601,9613,9619,9623,9629,9631,9643,
9649,9661,9677,9679,9689,9697,9719,9721,9733,9739,
9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,
9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,
9907,9923,9929,9931,9941,9949,9967,9973,10007,10009,
};
//构造大数对象并初始化为零
CBigInt:
:
CBigInt（）
{
m_nLength=1;
for（inti=0;i}
//解构大数对象
CBigInt:
:
~CBigInt（）
{
}
/****************************************************************************************
大数比较
调用方式：
N.Cmp（A）
返回值：
若NA返回1
****************************************************************************************/
intCBigInt:
:
Cmp（CBigInt&A）
{
if（m_nLength>A.m_nLength）return1;
if（m_nLengthfor（inti=m_nLength-1;i>=0;i--）
{
if（m_ulValue[i]>A.m_ulValue[i]）return1;
if（m_ulValue[i]}
return0;
}
/****************************************************************************************
大数赋值
调用方式：
N.Mov（A）
返回值：
无，N被赋值为A
****************************************************************************************/
voidCBigInt:
:
Mov（CBigInt&A）
{
m_nLength=A.m_nLength;
for（inti=0;i}
voidCBigInt:
:
Mov（unsigned__int64A）
{
if（A>0xffffffff）
{
m_nLength=2;
m_ulValue[1]=（unsignedlong）（A>>32）;
m_ulValue[0]=（unsignedlong）A;
}
else
{
m_nLength=1;
m_ulValue[0]=（unsignedlong）A;
}
for（inti=m_nLength;i}
/****************************************************************************************
大数相加
调用形式：
N.Add（A）
返回值：
N+A
****************************************************************************************/
CBigIntCBigInt:
:
Add（CBigInt&A）
{
CBigIntX;
X.Mov（*this）;
unsignedcarry=0;
unsigned__int64sum=0;
if（X.m_nLengthfor（unsignedi=0;i{
sum=A.m_ulValue[i];
sum=sum+X.m_ulValue[i]+carry;
X.m_ulValue[i]=（unsignedlong）sum;
carry=（unsigned）（sum>>32）;
}
X.m_ulValue[X.m_nLength]=carry;
X.m_nLength+=carry;
returnX;
}
CBigIntCBigInt:
:
Add（unsignedlongA）
{
CBigIntX;
X.Mov（*this）;
unsigned__int64sum;
sum=X.m_ulValue[0];
sum+=A;
X.m_ulValue[0]=（unsignedlong）sum;
if（sum>0xffffffff）
{
unsignedi=1;
while（X.m_ulValue[i]==0xffffffff）
{
X.m_ulValue[i]=0;
i++;
}
X.m_ulValue[i]++;
if（m_nLength==i）m_nL
升级会员 