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📄 des.h

📁 RSA公钥加密的基本实现 bmp灰度图片加解密操作包括 RSA 的加减密算法; 素数检测算法;RSA 密钥生成算法; 应用该 RSA 密码体制加、解密; BMP 灰度图的算法; Pollard p-1
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#include <string>
#include <stdio.h>
//#include <ctime>
#include <stdlib.h>#include <string.h>
#include <iostream>
//Used by Copy BMP FileHeader
#define HEAD_LEN 65536
//Used by Test Mode
#define PLAINT_SIZE 64
//////////////////////////////////////////////////////////////////////////
using namespace std;
// ECB方式——加,解密
void ECB_Des_ENrun(char Out[8], char In[8]);
void ECB_Des_DErun(char Out[8], char In[8]);
// 设置密钥
void GetKey(void);

//////////////////////////////////////////////////////////////////////////
void F_func(bool In[32], const bool Ki[48]);// f 函数
void S_func(bool Out[32], const bool In[48]);// S 盒代替
void Transform(bool *Out, bool *In, const char *Table, int len);// 变换
void Xor(bool *InA, const bool *InB, int len);// 异或
void RotateL(bool *In, int len, int loop);// 循环左移
void ByteToBit(bool *Out, const char *In, int bits);// 字节组转换成位组
void BitToByte(char *Out, const bool *In, int bits);// 位组转换成字节组
//////////////////////////////////////////////////////////////////////////

/*
//Build S-Box
void GetRandSBox(void);
void GetLineSBox(void);
void MySBox(void);
*/
//////////////////////////////////////////////////////////////////////////
//CBC Mode
void CBC_Des_ENrun(char Out[8], char In[8]);
void CBC_Des_DErun(char Out[8], char In[8]);
///////////////////////////////////////////////////////////////////////////
//Test Mode
void Snowslip_Test(bool Plaint1[64],bool Plaint2[64]);
void GetRandPlaint_Snowslip(bool PlaintBits1[64],bool PlaintBits2[64]);
void Completeness_Test(bool Text[PLAINT_SIZE][64]);
void GetRandPlaint_Complete(bool PlaintBits[PLAINT_SIZE][64]);

void Differential_Analysis(void);
void int2bin(int var,bool *bin,int bin_size);
int bin2int(bool bin[],int bin_size);
void S_Box_single(bool In[6],bool Out[4],int num);

////////////////////////////////////////////////////////////////////

const static char IP[64] =
    {
        58, 50, 42, 34, 26, 18, 10, 2,
        60, 52, 44, 36, 28, 20, 12, 4,
        62, 54, 46, 38, 30, 22, 14, 6,
        64, 56, 48, 40, 32, 24, 16, 8,
        57, 49, 41, 33, 25, 17, 9, 1,
        59, 51, 43, 35, 27, 19, 11, 3,
        61, 53, 45, 37, 29, 21, 13, 5,
        63, 55, 47, 39, 31, 23, 15, 7
    };

const static char IPR[64] =
    {
        40, 8, 48, 16, 56, 24, 64, 32,
        39, 7, 47, 15, 55, 23, 63, 31,
        38, 6, 46, 14, 54, 22, 62, 30,
        37, 5, 45, 13, 53, 21, 61, 29,
        36, 4, 44, 12, 52, 20, 60, 28,
        35, 3, 43, 11, 51, 19, 59, 27,
        34, 2, 42, 10, 50, 18, 58, 26,
        33, 1, 41, 9, 49, 17, 57, 25
    };

static const char E[48] =
    {
        32, 1, 2, 3, 4, 5,
        4, 5, 6, 7, 8, 9,
        8, 9, 10, 11, 12, 13,
        12, 13, 14, 15, 16, 17,
        16, 17, 18, 19, 20, 21,
        20, 21, 22, 23, 24, 25,
        24, 25, 26, 27, 28, 29,
        28, 29, 30, 31, 32, 1
    };

const static char P[32] =
    {
        16, 7, 20, 21,
        29, 12, 28, 17,
        1, 15, 23, 26,
        5, 18, 31, 10,
        2, 8, 24, 14,
        32, 27, 3, 9,
        19, 13, 30, 6,
        22, 11, 4, 25
    };

const static char PC1[56] =
    {
        57, 49, 41, 33, 25, 17, 9,
        1, 58, 50, 42, 34, 26, 18,
        10, 2, 59, 51, 43, 35, 27,
        19, 11, 3, 60, 52, 44, 36,
        63, 55, 47, 39, 31, 23, 15,
        7, 62, 54, 46, 38, 30, 22,
        14, 6, 61, 53, 45, 37, 29,
        21, 13, 5, 28, 20, 12, 4
    };

const static char PC2[48] =
    {
        14, 17, 11, 24, 1, 5,
        3, 28, 15, 6, 21, 10,
        23, 19, 12, 4, 26, 8,
        16, 7, 27, 20, 13, 2,
        41, 52, 31, 37, 47, 55,
        30, 40, 51, 45, 33, 48,
        44, 49, 39, 56, 34, 53,
        46, 42, 50, 36, 29, 32
    };

const static char LOOP[16] =
    {
        1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1
    };

//extern char S_Box[8][4][16];
// The (in)famous S-boxes
static char S_Box[8][4][16] =
//static char S_Box[8][4][16] =
    {        {
        // S1
        {14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7},
        {0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8},
        {4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0},
        {15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13}        },
        // S2        {
        {15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10},
        {3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5},
        {0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15},
        {13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9}        },
        // S3        {
        {10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8},
        {13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1},
        {13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7},
        {1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12}
        },        // S4
        {        {7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15},
        {13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9},
        {10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4},
        {3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14}
        },        // S5
        {        {2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9},
        {14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6},
        {4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14},
        {11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3}
        },        // S6
        {        {12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11},
        {10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8},
        {9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6},
        {4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13}
        },        // S7
        {        {4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1},
        {13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6},
        {1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2},
        {6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12}
        },        // S8
        {        {13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7},
        {1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2},
        {7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8},
        {2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11}
        }    };

//////////////////////////////////////////////////////////////////////////

static bool SubKey[16][48];// 16轮子密钥

//////////////////////////////////////////////////////////////////////////
void ECB_Des_ENrun(char Out[8], char In[8])
{
    static bool M[64], Tmp[32], *Li = &M[0], *Ri = &M[32];
    ByteToBit(M, In, 64);
    Transform(M, M, IP, 64);
    for (int i=0; i<16; i++)
    {
        memcpy(Tmp, Ri, 32);
        F_func(Ri, SubKey[i]);
        Xor(Ri, Li, 32);
        memcpy(Li, Tmp, 32);
    }
    Transform(M, M, IPR, 64);
    BitToByte(Out, M, 64);
}
void ECB_Des_DErun(char Out[8], char In[8])
{
    static bool M[64], Tmp[32], *Li = &M[0], *Ri = &M[32];
    ByteToBit(M, In, 64);
    Transform(M, M, IP, 64);
    for (int i=15; i>=0; i--)
    {
        memcpy(Tmp, Li, 32);
        F_func(Li, SubKey[i]);
        Xor(Li, Ri, 32);
        memcpy(Ri, Tmp, 32);
    }
    Transform(M, M, IPR, 64);
    BitToByte(Out, M, 64);
}
void CBC_Des_ENrun(char Out[8], char In[8])
{
    static bool M[64],N[64], Tmp[32], *Li = &M[0], *Ri = &M[32];
    ByteToBit(M, In, 64);
    ByteToBit(N, Out, 64);
    Xor(M,N, 64);
    Transform(M, M, IP, 64);
//fk(L,R) = (L^F(R,SK),R)
    for (int i=0; i<16; i++)
    {
        memcpy(Tmp, Ri, 32);
        F_func(Ri, SubKey[i]);
        Xor(Ri, Li, 32);
        memcpy(Li, Tmp, 32);
    }
    Transform(M, M, IPR, 64);
    BitToByte(Out, M, 64);
//BitToByte(In, N, 64);
}
void CBC_Des_DErun(char Out[8], char In[8])
{
    static bool M[64],N[64], Tmp[32], *Li = &M[0], *Ri = &M[32];
    ByteToBit(M, In, 64);
    ByteToBit(N, Out, 64);
    Transform(M, M, IP, 64);
    for (int i=15; i>=0; i--)
    {
        memcpy(Tmp, Li, 32);
        F_func(Li, SubKey[i]);
        Xor(Li, Ri, 32);
        memcpy(Ri, Tmp, 32);
    }
    Transform(M, M, IPR, 64);
    Xor(M,N, 64);
    BitToByte(Out, M, 64);
//BitToByte(In, N, 64);
}

void GetKey(void)
{
    char Key[9]="hekailyf";
    static bool K[64], *KL = &K[0], *KR = &K[28];
    ByteToBit(K, Key, 64);
//pc_1
    Transform(K, K, PC1, 56);
    for (int i=0; i<16; i++)
    {
        RotateL(KL, 28, LOOP[i]);
        RotateL(KR, 28, LOOP[i]);
//pc_2
        Transform(SubKey[i], K, PC2, 48);
    }
}

//A Round of DES
void F_func(bool In[32], const bool Ki[48])
{
    static bool MR[48];
//E Transform
    Transform(MR, In, E, 48);
    Xor(MR, Ki, 48);
    S_func(In, MR); //S BOX
//P Transform
    Transform(In, In, P, 32);
}

void S_func(bool Out[32], const bool In[48])
{
//i<8 <==> 8's S-BOX;In(6)==>Out(4)
    for (char i=0,j,k; i<8; i++,In+=6,Out+=4)
    {
        j = (In[0]<<1) + In[5];
        k = (In[1]<<3) + (In[2]<<2) + (In[3]<<1) + In[4];
        ByteToBit(Out, &S_Box[i][j][k], 4);
    }
}

//Trabsform through TABLE
void Transform(bool *Out, bool *In, const char *Table, int len)
{
    static bool Tmp[256];
    for (int i=0; i<len; i++)
        Tmp[i] = In[ Table[i]-1 ];
    memcpy(Out, Tmp, len);
}
void Xor(bool *InA, const bool *InB, int len)
{
    for (int i=0; i<len; i++)
        InA[i] ^= InB[i];
}
void RotateL(bool *In, int len, int loop)
{
    static bool Tmp[256];
//Store the first (loop) bits to Tmp
    memcpy(Tmp, In, loop);
//Copy the end of the (len-loop) bits to the front of In
    memcpy(In, In+loop, len-loop);
//Move the Stored (loop) bits to the end of Nes In
    memcpy(In+len-loop, Tmp, loop);
}
void ByteToBit(bool *Out, const char *In, int bits)
{
    for (int i=0; i<bits; i++)
        Out[i] = (In[i/8]>>(i%8)) & 1;
//Get the last of the Byte
}
void BitToByte(char *Out, const bool *In, int bits)
{
    memset(Out, 0, (bits+7)/8);
    for (int i=0; i<bits; i++)
        Out[i/8] |= In[i]<<(i%8);
}

/*
void GetRandSBox()
{
    int Temp[16]={0},MaxIndex=15;
    for (int i=0;i<16;i++)
        Temp[i] = i;
    srand((unsigned)time(NULL));
    for (int i = 0;i<8;i++)
    {
        for (int j=0;j<4;j++)
        {
            for (int k=0;k<16;k++)
            {
                int temp = rand()%(MaxIndex+1);
                S_Box[i][j][k] = Temp[temp];
                if (MaxIndex > temp)
                    Temp[temp] = Temp[MaxIndex];
                MaxIndex--;
            }
            MaxIndex = 15;
            for (int l=0;l<16;l++)
                Temp[l] = l;
        }
    }
}
*/

//Input:(a,b,c,d,e,f)
//Output:(b,c,d,e)
//(a,b,c,d,e,f)==>(b,c,d,e)
//Also can be: (a,b,c,d,e,f)==>(b,c,a^d,e^f)

/*
void GetLineSBox(void)
{
    for (int j=0;j<4;j++)
        for (int k=0;k<16;k++)
            for (int i = 0;i<8;i++)
                S_Box[i][j][k] = k;
}


//////////////////////////////////////////////////////////////////////////
*/
//Test Mode Method
void Snowslip_Test(bool Plaint1[64],bool Plaint2[64])
{
    static bool Tmp[32], *Li1 = &Plaint1[0], *Ri1 = &Plaint1[32];
    static bool *Li2 = &Plaint2[0], *Ri2 = &Plaint2[32];
//fk(L,R) = (L^F(R,SK),R)
    for (int i=0; i<16; i++)
    {
        memcpy(Tmp, Ri1, 32);
        F_func(Ri1, SubKey[i]);
        Xor(Ri1, Li1, 32);
        memcpy(Li1, Tmp, 32);

        memcpy(Tmp, Ri2, 32);
        F_func(Ri2, SubKey[i]);
        Xor(Ri2, Li2, 32);
        memcpy(Li2, Tmp, 32);

        int count = 0;
        for (int j=0;j<64;j++)
            if (Plaint1[j] != Plaint2[j])
                count++;
//cout<<"The "<<i+1<<" Round's Different Bits: "<<Count_Snowslip(Plaint1,Plaint2)<<endl;
        cout<<"The "<<i+1<<" Round's Different Bits: "<<count<<endl;
    }
}

void Completeness_Test(bool Text[PLAINT_SIZE][64])
{
    static bool Tmp[32], *Li , *Ri;
    int i,j,k;
    int count[64][2]={0};

    for (i=0;i<PLAINT_SIZE;i++)
    {
        Li = &Text[i][0];
        Ri = &Text[i][32];
//fk(L,R) = (L^F(R,SK),R)
        for (j=0; j<16; j++)
        {
            memcpy(Tmp, Ri, 32);
            F_func(Ri, SubKey[i]);
            Xor(Ri, Li, 32);
            memcpy(Li, Tmp, 32);
        }
        for (k = 0;k < 64;k++)
        {
            if (Text[i][k] == 0)
                count[k][0]++;
            else
                count[k][1]++;
        }
    }
//Get the frequency
    cout<<"Every bit is 1's frequency: "<<endl;
    for (int i=0;i<64;i++)
        cout<<"The "<<i+1<<" bit: "<<(float)100*count[i][1]/PLAINT_SIZE<<"%"<<endl;
}

void GetRandPlaint_Snowslip(bool PlaintBits1[64],bool PlaintBits2[64])
{
    int i;
    srand((unsigned)time(NULL));
    int timebits = rand()%64;
    int timevalue = rand()%2;
    PlaintBits1[timebits] = timevalue;
    PlaintBits2[timebits] = timevalue ^1;
    for (i = 0;i<64;i++)
        if (i != timebits)
        {
            timevalue = rand()%2;
            PlaintBits1[i] = timevalue;
            PlaintBits2[i] = timevalue;
        }
}

void GetRandPlaint_Complete(bool PlaintBits[PLAINT_SIZE][64])
{
    int i;
    srand((unsigned)time(NULL));
    int timebits = rand()%64;
    int timevalue = rand()%2;
    for (i=0;i<PLAINT_SIZE;i++)
    {
        PlaintBits[i][timebits] = timevalue;
        for (int j = 0;j<64;j++)
            if (j != timebits)
            {
                int timevalue1 = rand()%2;
                PlaintBits[i][j] = timevalue1;
            }
    }
}

void Differential_Analysis(void)
{
    int count[8][64][16]={0};//Count Differential Distributing
    int i,j,l;
    for (i= 0;i<8;i++)
    {
        cout<<"The "<<i+1<<" S-Box Difference Distributing Table:\n ";
        for (l=0;l<16;l++)
            cout<<" "<<l+1;
        cout<<endl;
        for (j = 0;j<64;j++)
        {
            bool In[6]={0};
            int2bin(j,In,6);
            for (int k=0;k<64;k++)
            {
                bool In1[6]={0},In2[6]={0},Out1[4]={0},Out2[4]={0};
                int2bin(k,In1,6);
                S_Box_single(In1,Out1,i);
                int2bin(j^k,In2,6); // Xor(In,In1,6);
                S_Box_single(In2,Out2,i);

                Xor(Out1,Out2,4); //Out1 <== Out1 ^ Out2 (Out == Out1)
                count[i][j][bin2int(Out1,4)] ++;
            }
            cout<<j<<": ";
            for (int l=0;l<16;l++)
                cout<<count[i][j][l]<<" ";
            cout<<endl;
        }
        cout<<endl;
        system("pause");
    }
}

void S_Box_single(bool In[6],bool Out[4],int num)
{
    int Line = 2*In[0] + In[5];
    int Row = 8*In[1]+4*In[2]+2*In[3]+In[4];

    int2bin(S_Box[num][Line][Row],Out,4);
}

void int2bin(int var,bool *bin,int bin_size)
{
    int i;
    char temp = (unsigned char)var;
    for (i=0;i<bin_size;i++)
    {
        bin[i] = temp & 0x01;
        temp >>= 1;
    }
}

int bin2int(bool bin[],int bin_size)
{
    int var = 0;

    for (int i=0;i<bin_size;i++)
        var = 2*var + bin[bin_size-1-i];

    return var;
}


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