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📄 main.c

📁 用C语言编写的RSA加密算法
💻 C
字号:
#include "windows.h"
#define MAXSIZE 0x10000
#define MAXLEN 160
#define DEC 10
#define HEX 16
//#define system 10
#pragma comment( lib, "xmlParser4Etri.lib" )
char *srcfile="c:\\test.xml";
char *resfile="c:\\result.xml";
#pragma warning(disable:4700)//局矾皋矫瘤甫 唱鸥唱瘤 臼霸 窃
#pragma warning(disable:4101)
typedef struct BInt{
	int Length;
	int Value[MAXLEN];
}BInt;
BInt Q,*Qp,P,*Pp,N,*Np,N2,*N2p,D,*Dp,E,*Ep,F1,F2,F3,*F1P,*F2P,*F3P;


char word[1000];


const static int PrimeTable[550]=
{   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
};

//**************************************************************************
BInt* init(BInt *x);
int comp(BInt *x, BInt *y);
BInt addi(BInt *x, int b);
BInt adds(BInt *x, BInt *y);
BInt subi(BInt *x, int y);
BInt subs(BInt *x, BInt *y);
BInt muli(BInt *x, int y);
BInt muls(BInt *x, BInt *y);
BInt divi(BInt *x,int y);
BInt divs(BInt *x, BInt *y);
int modi(BInt *x,int y);
BInt mods(BInt *x, BInt *y);
//**************************************************************************
int RaMe(BInt *x);
BInt Mongmery(BInt *m, BInt *e, BInt *n);
BInt get();
void put(BInt *x);
BInt getprime(int k);
BInt euc(BInt *x, BInt *y);
BInt euc2(BInt *x, BInt *y);
//**************************************************************************
BInt euc2(BInt *x, BInt *y)
{
	BInt A,B,C,*Ap,*Bp,*Cp;
	Ap=&A;Bp=&B;Cp=&C;
	A=*x;
	B=*y;
	while(!(B.Length==1 && B.Value[0]==0))
	{
		C=mods(Ap,Bp);
		A=B;
		B=C;
	}
	return A;
}
BInt euc(BInt *x, BInt *y)
{
	BInt M,E,X,Y,I,J,*Mp,*Ep,*Xp,*Yp,*Ip,*Jp;
	int a,b;
	Mp=&M;Ep=&E;Xp=&X;Yp=&Y;Ip=&I;Jp=&J;
	Xp=init(Xp);Yp=init(Yp);Ip=init(Ip);Jp=init(Jp);
	M=*y;E=*x;
	Y.Value[0]=1;
	a=b=1;
	while((E.Length!=1)||(E.Value[0]!=0))
	{
		I=divs(Mp,Ep);
		J=mods(Mp,Ep);
		M=E;
		E=J;
		J=Y;
		Y=muls(Yp,Ip);
		if(a==b)
		{
			if(comp(Xp,Yp)!=2)Y=subs(Xp,Yp);
			else{Y=subs(Yp,Xp);b=0;}
		}
		else{Y=adds(Xp,Yp);a=1-a;b=1-b;}
		X=J;
		
	}
	if(a==0)X=subs(y,Xp);
	return X;
}
BInt getprime(int k)
{
	BInt x,*xp,y,*yp,zero,*zerop;
	int a,b,size;
	unsigned c;
	xp=&x;yp=&y;zerop=&zero;zerop=init(zerop);yp=init(yp);
	a=b=c=0;
	size=40;
	if(k==1)c=(unsigned)time(NULL);
	else c=(unsigned)(time(NULL)*2);
first:
	
	srand(c);
	xp=init(xp);
	for(a=1;a<size-1;a++) x.Value[a]=abs((rand()*rand())%MAXSIZE);
	x.Value[0]=(rand()%1000)*10+1;
	x.Value[size-1]=rand()%MAXSIZE;
	
	xp->Length=size; 
	//ViewBInt(xp);
	for(a=0;a<100;a++)
	{
		b=modi(xp,PrimeTable[a]);
		if(b==0){ c=c+100;goto first;}
	}
	//put(xp);
	b=RaMe(xp);
	//printf("%d\n",b);
	if(b==0) {c=c+1000;goto first;}
	//put(xp);
	return x;		
}
void put(BInt *x)
{
	int a,b,system;
	char t[16]="0123456789ABCDEF",ch;
	BInt X,*Xp;
	Xp=&X;
	Xp=init(Xp);
	X=*x;
	system=16;
	for(a=0;a<1000;a++)word[a]='\0';
	a=0;
	while(X.Value[X.Length-1]>0)
	{
		b=modi(Xp,system);
		ch=t[b];
		word[a]=ch;
		X=divi(Xp,system);
		a++;
	}
	strrev(word);
	printf("\n");
	printf("%s\n", word);

}
BInt get()
{
	BInt x,*xp;
	char word[1000],*prime="17475243319617581867";
	int a,len,system,k;
	xp=&x;
	system=16;
	for(a=0;a<1000;a++)word[a]='\0';
	//printf("Input Big Integer!\n");
	//scanf("%s",word);
	len=strlen(word);
	
	xp=init(xp);
	for(a=0;a<len;a++)
	{
		x=muli(xp,system);
		if((word[a]>='0')&&(word[a]<='9'))k=word[a]-48;
		else if((word[a]>='A')&&(word[a]<='F'))k=word[a]-55;
		else if((word[a]>='a')&&(word[a]<='f'))k=word[a]-87;
		else k=0;
		x=addi(xp,k);
	}
	//printf("%s\n",word);
	return x;
}
BInt Mongmery(BInt *m, BInt *e, BInt *n)
{
	BInt x,y,z,*xp,*yp,*zp,res,*resp,two,*twop,zero,*zerop;
	int com1,com2;
	xp=&x;yp=&y;zp=&z,resp=&res,twop=&two,zerop=&zero;
	x=*m;y=*e;z=*n;
	twop=init(twop);
	resp=init(resp);
	zerop=init(zerop);
	res.Value[0]=1;
	two.Value[0]=2; 
	//printf("矫累!\n");
	
	com1=comp(yp,zerop);
	while(com1!=0)
	{
		while(y.Value[0]%2==0)
		{
			y=divs(yp,twop);
			x=muls(xp,xp);
			x=mods(xp,zp);
			if(y.Length==1 && y.Value[0]==1)break;   
		}
		y=subi(yp,1);
		res=muls(resp,xp);
		res=mods(resp,zp);

		//put(yp);
		com1=comp(yp,zerop);
	}
	return res;
}
int RaMe(BInt *x)
{
	BInt b,m,j,v,i,zero;
	BInt a,c;
	BInt *pb,*pm,*pj,*pv,*pi,*pzero,*pa,*pc,test,*ptest;
	int czero,rn,com1,com2,com3;

	pb=&b;
	pm=&m;
	pj=&j;
	pv=&v;
	pi=&i;
	ptest=&test;
	pzero=&zero;
	pa=&a;
	pc=&c;

	ptest=init(ptest);

	
	pzero=init(pzero);

	pc=init(pc);
	pa=init(pa);
	pb=init(pb);
	pm=init(pm);
	pj=init(pj);
	pv=init(pv);
	pi=init(pi);

	a.Value[0]=2; 
	c.Value[0]=1; 
	
	m=subi(x,1);

	test=divi(pm,2);
	czero=comp(ptest,pzero);//函拳且鳖?


	while(czero==0)
	{
		j=addi(pj,1);
		m=divs(pm,pa);
		test=divi(pm,2);
		czero=comp(ptest,pzero);
	}

	rn=2;  
	b.Value[0]=rn; 

	v=Mongmery(pb,pm,x);

	//put(pv);
 
	com1=comp(&v,&c);

	if(com1==0)
	{
		return 1;
	}

	i.Value[0]=1;
	test=subi(x,1);
	com2=comp(pv,ptest);
	
	while(com2!=0)
	{
		if(i.Value[0]==1)
		com3=comp(pi,pj);
		
		if(com3==0)
		{
			return 0;
		}

		if(i.Value[0]==10)
			return 0;

		v=Mongmery(pv,pa,x);
		i=addi(&i,1);
		test=subi(x,1);
		com2=comp(pv,ptest);
	}
	return 1;
}
//**************************************************************************
BInt mods(BInt *x, BInt *y)
{
	BInt X,Y,*Xp,*Yp;
	int i,div,num,carry=0,len;
	Xp=&X;Yp=&Y;
	X=*x;
	Yp=init(Yp);
	while(comp(Xp,y)!=2)
	{
		div=X.Value[X.Length-1];
		num=y->Value[y->Length-1];
		len=X.Length-y->Length;
		if((div==num)&&(len==0)){X=subs(Xp,y);break;}
		if((div<=num)&&len){len--;div=div*MAXSIZE+X.Value[X.Length-2];}
		div=div/(num+1);
		Yp=init(Yp);
		Y.Value[0]=div; 
		Y=muls(y,Yp);
		if(len)
		{
			Y.Length+=len;
			for(i=Y.Length-1;i>=len;i--)Y.Value[i]=Y.Value[i-len];
			for(i=0;i<len;i++)Y.Value[i]=0; 
		}
		X=subs(Xp,Yp);
	}
	return X;
}
int modi(BInt *x,int y)
{
	int i;
	unsigned div,carry=0;
	if(x->Length==1)return(x->Value[0]%y);
	for(i=x->Length-1;i>=0;i--)
	{
		div=x->Value[i];
		div+=carry*MAXSIZE;
		carry=div%y;
	}
	return carry;
}
BInt divs(BInt *x, BInt *y)
{
	BInt X,Y,Z,*Xp,*Yp,*Zp,m,*mp;
	int i,len,num,div;
	Xp=&X;Yp=&Y;Zp=&Z;mp=&m;
	if(y->Length==1)return divi(x,y->Value[0]);
	Y=*x;
	Xp=init(Xp);
	while(comp(Yp,y)!=2)
	{
		div=Y.Value[Y.Length-1];
		num=y->Value[y->Length-1];
		len=Y.Length-y->Length;
		if((div==num)&&(len==0)){X=addi(Xp,1);break;}
		if((div<=num)&&len){len--;div=(div*MAXSIZE)+Y.Value[Y.Length-2];}
		div=div/(num+1);
		Zp=init(Zp);
		Z.Value[0]=div;
		if(len)
		{
			Z.Length+=len;
			for(i=Z.Length-1;i>=len;i--)Z.Value[i]=Z.Value[i-len];
			for(i=0;i<len;i++)Z.Value[i]=0;
		}
		X=adds(Xp,Zp);
		m=muls(y,Zp);
		Y=subs(Yp,mp);
	}
	return X;
}
BInt divi(BInt *x,int y)
{
	BInt res,*resp;
	unsigned div,mul,carry=0;
	int i;
	resp=&res;
	resp=init(resp);
	res=*x;
	if(res.Length==1){res.Value[0]=res.Value[0]/y;return res;}
	for(i=res.Length-1;i>=0;i--)
	{
		div=carry;
		div=(div*MAXSIZE)+res.Value[i];
		res.Value[i]=(div/y);
		mul=(div/y)*y;
		carry=div-mul;
	}
	if(res.Value[res.Length-1]==0)res.Length--;
	return res;
}
BInt muli(BInt *x, int y)
{
	BInt res,*resp;
	unsigned mul,carry;
	int i;
	resp=&res;
	resp=init(resp);
	res=*x;
	carry=0;
	for(i=0;i<x->Length;i++)
	{
		mul=x->Value[i];
		mul=mul*y+carry;
		res.Value[i]=mul%MAXSIZE;
		carry=mul>>16;
	}
	if(carry){res.Length++;res.Value[res.Length-1]=carry;}
	return res;
}
BInt muls(BInt *x, BInt *y)
{
	BInt res,*resp;
	unsigned i,j,sum,mul=0,carry=0;
	if(y->Length==1)return muli(x,y->Value[0]);
	resp=&res;
	resp=init(resp);
	res.Length=x->Length+y->Length-1;
	for(i=0;i<res.Length;i++)
	{
		sum=carry;
		carry=0;
		for(j=0;j<y->Length;j++)
		{
			if(((i-j)>=0)&&((i-j)<x->Length))
			{
				mul=x->Value[i-j];
				mul*=(y->Value[j]);
				carry+=mul>>16;
				mul=mul%MAXSIZE;
				sum+=mul;
			}
		}
		carry+=sum>>16;
		res.Value[i]=sum%MAXSIZE;
	}
	if(carry){res.Length++;res.Value[res.Length-1]=carry;}   
	return res;
}
BInt subs(BInt *x, BInt *y)
{
	int carry=0,num,i;
	BInt res,*resp;

	resp=&res;
	resp=init(resp);
	i=comp(x,y);
	if(i!=1)return res;
	res=*x;
	for(i=0;i<res.Length;i++)
	{
		if((x->Value[i]>y->Value[i])||((x->Value[i]==y->Value[i])&&(carry==0)))
		{
			res.Value[i]=x->Value[i]-carry-y->Value[i];
			carry=0;
		}
		else
		{
			num=MAXSIZE+x->Value[i];
			res.Value[i]=num-carry-y->Value[i];
			carry=1;
		}
	}
	while(res.Value[res.Length-1]==0)res.Length--;   
	return res;
}
BInt subi(BInt *x, int y)
{
	BInt res,*resp;
	int num,i;
	resp=&res;
	resp=init(resp);
	res=*x;
	if(res.Value[0]>=y){res.Value[0]=res.Value[0]-y;return res;}
	if(res.Length==1){res.Value[0]=0;return res;}
	num=MAXSIZE+res.Value[0];
	res.Value[0]=num-y; 
	i=1;
	while(res.Value[i]==0){res.Value[i]=MAXSIZE-1;i++;}
	res.Value[i]--;
	if(res.Value[i]==0)res.Length--;  
	return res;
}
BInt adds(BInt *x, BInt *y)
{
	unsigned carry,middle,sum; 
	int a;
	BInt res,*resp;

	carry=middle=0;
	resp=&res;
	resp=init(resp);
	res=*x;
	if(res.Length<y->Length)res.Length=y->Length;
	for(a=0;a<res.Length;a++)
	{
		sum=y->Value[a];
		sum=sum+res.Value[a]+carry;
		res.Value[a]=sum%MAXSIZE;
		carry=sum>>16;
	}
	res.Value[res.Length]=carry;
	res.Length=res.Length+carry;  
	return res;
}
BInt addi(BInt *x, int b)
{
	BInt res, *resp;
	int a,sum;

	resp=&res;
	resp=init(resp);
	res=*x;
	sum=res.Value[0];
	sum=sum+b;
	res.Value[0]=sum;
	if(res.Value[0]>MAXSIZE-1)
	{
		res.Value[0]=res.Value[0]%MAXSIZE;
		a=1;
		while(res.Value[a]==MAXSIZE-1){res.Value[a]=0;a++;}
		res.Value[a]++;
		if(res.Length==a)res.Length++;
	}
	return res;
}
int comp(BInt *x, BInt *y)
{
	int i=0;
	if(x->Length>y->Length)return 1;
	if(x->Length<y->Length)return 2;
	for(i=x->Length; i>=0; i--)
	{
		if(x->Value[i]>y->Value[i])return 1;
		if(x->Value[i]<y->Value[i])return 2;  
	}
	return 0;
}

BInt* init(BInt *x)
{
	int length;
	for(length=0;length<MAXLEN;length++)
		x->Value[length]=0;
	x->Length=1;//辨捞绰 攫力唱 硅凯狼 辨捞 +1
	return x;
}
/*
unsigned char* DecryptRSAKey(XMLNode* docNode, char* RSAKey1, char* RSAKey2)
{
	FILE *Df, *Ff;
	unsigned char* buf;
	int i;

	Df=fopen("c:\\D.txt", "rb");
	fseek(Df,0,2);
	i=ftell(Df);

	buf=(unsigned char*)malloc(i);
	fread(buf, i, 1, Df);
	printf("%s, \n", buf);
	fclose(Dg);

}
*/
void main()
{
	char* hello="hello";
	char* dec;
	int a,e;
	int len,i,k;

	Qp=&Q;Pp=&P;Np=&N;N2p=&N2;Dp=&D,Ep=&E;F1P=&F1;F2P=&F2;F3P=&F3;

	Qp=init(Qp);
	Q=getprime(1);
	put(Qp);


	dec=(char*)malloc(160);
	memset(dec, '\0', 160);

	Pp=init(Pp);
	P=getprime(2);
	put(Pp);
/*-------------------------------------------------------------------------------------*/
	
	Np=init(Np);
	N=muls(Qp,Pp);
	put(Np);

	P=subi(Pp,1);
	Q=subi(Qp,1);

	N2p=init(N2p);
	N2=muls(Pp,Qp);
	put(N2p);

	a=100;

	do
	{
		if(modi(N2p,PrimeTable[a])!=0){e=PrimeTable[a];break;}
		a++;
	}while(1);

	Ep=init(Ep);
	E.Value[0]=e; 
	put(Ep);


	Dp=init(Dp);
	D=euc(Ep,N2p);
	put(Dp);

	Pp=init(Pp);
	P=euc2(Np,Dp);
	put(Pp);

	F1P=init(F1P);

	//printf(" Input key! \n");
	//scanf("%s, hello", hello);

	len=strlen(hello);
	for(i=0;i<len;i++)
	{
		F1.Value[i]=(unsigned int)hello[i];
	}

	F1.Length=len;

	F2P=init(F2P);
	F3P=init(F3P);
	F2=Mongmery(F1P,Ep,Np);

	put(F1P);

	printf("鞠龋拳等 巩辑!\n");
	put(F2P);

	F3=Mongmery(F2P,Dp,Np);
	k=160;

	for(i=159;i>=0;i--)
	{
		if(F3.Value[i]!=0)k=k-1;
		else break;
	}
	for(i=0;i<k;i++)
	{
		dec[i]=(char)F3.Value[i]; 
	}

	put(F3P);
	printf("汗龋拳等 巩辑!\n");
	printf("%s \n", dec);

}

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