算法过程

程序实现

///************************************************************************

//  File name:    SM9_enc_dec.c

//  Version:      SM9_enc_dec_V1.0

//  Date:         Dec 29,2016

//  Description:  implementation of SM9 encryption algorithm and decryption algorithm

//                all operations based on BN curve line function

//  Function List:

//        1.bytes128_to_ecn2        //convert 128 bytes into ecn2

//        2.zzn12_ElementPrint      //print all element of struct zzn12

//        3.ecn2_Bytes128_Print     //print 128 bytes of ecn2

//        4.LinkCharZzn12           //link two different types(unsigned char and zzn12)to one(unsigned char)

//        5.Test_Point              //test if the given point is on SM9 curve

//        6.SM4_Block_Encrypt       //encrypt the message with padding,according to PKS#5

//        7.SM4_Block_Decrypt       //decrypt the cipher with padding,according to PKS#5

//        8.SM9_H1                  //function H1 in SM9 standard 5.4.2.2

//        9.SM9_Enc_MAC             //MAC in SM9 standard 5.4.5

//        10.SM9_Init               //initiate SM9 curve

//        11.SM9_GenerateEncryptKey //generate encrypted private and public key

//        12.SM9_Encrypt            //SM9 encryption algorithm

//        13.SM9_Decrypt            //SM9 decryption algorithm

//        14.SM9_SelfCheck()        //SM9 slef-check 

//

// Notes:

// This SM9 implementation source code can be used for academic, non-profit making or non-commercial use only.

// This SM9 implementation is created on MIRACL. SM9 implementation source code provider does not provide MIRACL library, MIRACL license or any permission to use MIRACL library. Any commercial use of MIRACL requires a license which may be obtained from Shamus Software Ltd. 

//**************************************************************************/

#include "SM9_enc_dec.h"

#include "kdf.h"

#include "SM4.h" 

/****************************************************************

Function:       bytes128_to_ecn2

Description:    convert 128 bytes into ecn2

Calls:          MIRACL functions

Called By:      SM9_Init,SM9_Decrypt

Input:          Ppubs[]

Output:         ecn2 *res

Return:         FALSE: execution error

TRUE: execute correctly

Others:

****************************************************************/

BOOL bytes128_to_ecn2(unsigned char Ppubs[], ecn2 *res)

{

	zzn2 x, y;

	big a, b;

	ecn2 r;

	r.x.a = mirvar(0); r.x.b = mirvar(0);

	r.y.a = mirvar(0); r.y.b = mirvar(0);

	r.z.a = mirvar(0); r.z.b = mirvar(0);

	r.marker = MR_EPOINT_INFINITY;

	x.a = mirvar(0); x.b = mirvar(0);

	y.a = mirvar(0); y.b = mirvar(0);

	a = mirvar(0); b = mirvar(0);

	bytes_to_big(BNLEN, Ppubs, b);

	bytes_to_big(BNLEN, Ppubs + BNLEN, a);

	zzn2_from_bigs(a, b, &x);

	bytes_to_big(BNLEN, Ppubs + BNLEN * 2, b);

	bytes_to_big(BNLEN, Ppubs + BNLEN * 3, a);

	zzn2_from_bigs(a, b, &y);

	return ecn2_set(&x, &y, res);

}

/****************************************************************

Function:       zzn12_ElementPrint

Description:    print all element of struct zzn12

Calls:          MIRACL functions

Called By:      SM9_Encrypt,SM9_Decrypt

Input:          zzn12 x

Output:         NULL

Return:         NULL

Others:

****************************************************************/

void zzn12_ElementPrint(zzn12 x)

{

	big tmp;

	tmp = mirvar(0);

	redc(x.c.b.b, tmp); cotnum(tmp, stdout);

	redc(x.c.b.a, tmp); cotnum(tmp, stdout);

	redc(x.c.a.b, tmp); cotnum(tmp, stdout);

	redc(x.c.a.a, tmp); cotnum(tmp, stdout);

	redc(x.b.b.b, tmp); cotnum(tmp, stdout);

	redc(x.b.b.a, tmp); cotnum(tmp, stdout);

	redc(x.b.a.b, tmp); cotnum(tmp, stdout);

	redc(x.b.a.a, tmp); cotnum(tmp, stdout);

	redc(x.a.b.b, tmp); cotnum(tmp, stdout);

	redc(x.a.b.a, tmp); cotnum(tmp, stdout);

	redc(x.a.a.b, tmp); cotnum(tmp, stdout);

	redc(x.a.a.a, tmp); cotnum(tmp, stdout);

}

/****************************************************************

Function:       ecn2_Bytes128_Print

Description:    print 128 bytes of ecn2

Calls:          MIRACL functions

Called By:      SM9_Encrypt,SM9_Decrypt

Input:          ecn2 x

Output:         NULL

Return:         NULL

Others:

****************************************************************/

void ecn2_Bytes128_Print(ecn2 x)

{

	big tmp;

	tmp = mirvar(0);

	redc(x.x.b, tmp); cotnum(tmp, stdout);

	redc(x.x.a, tmp); cotnum(tmp, stdout);

	redc(x.y.b, tmp); cotnum(tmp, stdout);

	redc(x.y.a, tmp); cotnum(tmp, stdout);

}

/****************************************************************

Function:       LinkCharZzn12

Description:    link two different types(unsigned char and zzn12)to one(unsigned char)

Calls:          MIRACL functions

Called By:      SM9_Encrypt,SM9_Decrypt

Input:          message:

len:    length of message

w:      zzn12 element

Output:         Z:      the characters array stored message and w

Zlen:   length of Z

Return:         NULL

Others:

****************************************************************/

void LinkCharZzn12(unsigned char *message, int len, zzn12 w, unsigned char *Z, int Zlen)

{

	big tmp;

	tmp = mirvar(0);

	memcpy(Z, message, len);

	redc(w.c.b.b, tmp); big_to_bytes(BNLEN, tmp, Z + len, 1);

	redc(w.c.b.a, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN, 1);

	redc(w.c.a.b, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 2, 1);

	redc(w.c.a.a, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 3, 1);

	redc(w.b.b.b, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 4, 1);

	redc(w.b.b.a, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 5, 1);

	redc(w.b.a.b, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 6, 1);

	redc(w.b.a.a, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 7, 1);

	redc(w.a.b.b, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 8, 1);

	redc(w.a.b.a, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 9, 1);

	redc(w.a.a.b, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 10, 1);

	redc(w.a.a.a, tmp); big_to_bytes(BNLEN, tmp, Z + len + BNLEN * 11, 1);

}

/****************************************************************

Function:       Test_Point

Description:    test if the given point is on SM9 curve

Calls:

Called By:      SM9_Decrypt

Input:          point

Output:         null

Return:         0: success

1: not a valid point on curve

Others:

****************************************************************/

int Test_Point(epoint* point)

{

	big x, y, x_3, tmp;

	epoint *buf;

	x = mirvar(0); y = mirvar(0);

	x_3 = mirvar(0);

	tmp = mirvar(0);

	buf = epoint_init();

	//test if y^2=x^3+b

	epoint_get(point, x, y);

	power(x, 3, para_q, x_3);     //x_3=x^3 mod p

	multiply(x, para_a, x);

	divide(x, para_q, tmp);

	add(x_3, x, x);                  //x=x^3+ax+b

	add(x, para_b, x);

	divide(x, para_q, tmp);          //x=x^3+ax+b mod p

	power(y, 2, para_q, y);        //y=y^2 mod p

	if (mr_compare(x, y) != 0)

		return 1;

	//test infinity

	ecurve_mult(N, point, buf);

	if (point_at_infinity(buf) == FALSE)

		return 1;

	return 0;

}

/***************************************************************

Function:       SM4_Block_Encrypt

Description:    encrypt the message with padding,according to PKS#5

Calls:          SM4_Encrypt

Called By:      SM9_Encrypt

Input:

key:the key of SM4

message:data to be encrypted

mlen:   the length of message

Output:

cipher: ciphertext

cipher_len:the length of ciphertext

Return:         NULL

Others:

****************************************************************/

void SM4_Block_Encrypt(unsigned char key[], unsigned char * message, int mlen, unsigned char *cipher, int * cipher_len)

{

	unsigned char mess[16];

	int i, rem = mlen % 16;

	for (i = 0; i<mlen / 16; i++)

		SM4_Encrypt(key, &message[i * 16], &cipher[i * 16]);

	//encrypt the last block

	memset(mess, 16 - rem, 16);

	if (rem)

		memcpy(mess, &message[i * 16], rem);

	SM4_Encrypt(key, mess, &cipher[i * 16]);

}

/***************************************************************

Function:       SM4_Block_Decrypt

Description:    decrypt the cipher with padding,according to PKS#5

Calls:          SM4_Decrypt

Called By:      SM9_Decrypt

Input:

key:the key of SM4

cipher: ciphertext

mlen:   the length of ciphertext

Output:

plain: plaintext

plain_len:the length of plaintext

Return:         NULL

Others:

****************************************************************/

void SM4_Block_Decrypt(unsigned char key[], unsigned char *cipher, int len, unsigned char *plain, int *plain_len)

{

	int i;

	for (i = 0; i<len / 16; i++)

		SM4_Decrypt(key, cipher + i * 16, plain + i * 16);

	*plain_len = len - plain[len - 1];

}

/****************************************************************

Function:       SM9_H1

Description:    function H1 in SM9 standard 5.4.2.2

Calls:          MIRACL functions,SM3_KDF

Called By:      SM9_Encrypt

Input:          Z:

Zlen:the length of Z

n:Frobniues constant X

Output:         h1=H1(Z,Zlen)

Return:         0: success;

1: asking for memory error

Others:

****************************************************************/

int SM9_H1(unsigned char Z[], int Zlen, big n, big h1)

{

	int hlen, i, ZHlen;

	big hh, i256, tmp, n1;

	unsigned char *ZH = NULL, *ha = NULL;

	hh = mirvar(0); i256 = mirvar(0);

	tmp = mirvar(0); n1 = mirvar(0);

	convert(1, i256);

	ZHlen = Zlen + 1;

	hlen = (int)ceil((5.0*logb2(n)) / 32.0);

	decr(n, 1, n1);

	ZH = (char *)malloc(sizeof(char)*(ZHlen + 1));

	if (ZH == NULL) return SM9_ASK_MEMORY_ERR;

	memcpy(ZH + 1, Z, Zlen);

	ZH[0] = 0x01;

	ha = (char *)malloc(sizeof(char)*(hlen + 1));

	if (ha == NULL) return SM9_ASK_MEMORY_ERR;

	SM3_KDF(ZH, ZHlen, hlen, ha);

	for (i = hlen - 1; i >= 0; i--)//key[从大到小]

	{

		premult(i256, ha[i], tmp);

		add(hh, tmp, hh);

		premult(i256, 256, i256);

		divide(i256, n1, tmp);

		divide(hh, n1, tmp);

	}

	incr(hh, 1, h1);

	free(ZH); free(ha);

	return 0;

}

/****************************************************************

Function:       SM9_Enc_MAC

Description:    MAC in SM9 standard 5.4.5

Calls:          SM3_256

Called By:      SM9_Encrypt,SM9_Decrypt

Input:

K:key

Klen:the length of K

M:message

Mlen:the length of message

Output:         C=MAC(K,Z)

Return:         0: success;

1: asking for memory error

Others:

****************************************************************/

int SM9_Enc_MAC(unsigned char *K, int Klen, unsigned char *M, int Mlen, unsigned char C[])

{

	unsigned char *Z = NULL;

	int len = Klen + Mlen;

	Z = (char *)malloc(sizeof(char)*(len + 1));

	if (Z == NULL) return SM9_ASK_MEMORY_ERR;

	memcpy(Z, M, Mlen);

	memcpy(Z + Mlen, K, Klen);

	SM3_256(Z, len, C);

	free(Z);

	return 0;

}

/****************************************************************

Function:       SM9_Init

Description:    Initiate SM9 curve

Calls:          MIRACL functions

Called By:      SM9_SelfCheck

Input:          null

Output:         null

Return:         0: success;

5: base point P1 error

6: base point P2 error

Others:

****************************************************************/

int SM9_Init()

{

	big P1_x, P1_y;

	mip = mirsys(1000, 16);;

	mip->IOBASE = 16;

	para_q = mirvar(0); N = mirvar(0);

	P1_x = mirvar(0);  P1_y = mirvar(0);

	para_a = mirvar(0);

	para_b = mirvar(0); para_t = mirvar(0);

	X.a = mirvar(0);  X.b = mirvar(0);

	P2.x.a = mirvar(0); P2.x.b = mirvar(0);

	P2.y.a = mirvar(0); P2.y.b = mirvar(0);

	P2.z.a = mirvar(0); P2.z.b = mirvar(0);

	P2.marker = MR_EPOINT_INFINITY;

	P1 = epoint_init();

	bytes_to_big(BNLEN, SM9_q, para_q);

	bytes_to_big(BNLEN, SM9_P1x, P1_x);

	bytes_to_big(BNLEN, SM9_P1y, P1_y);

	bytes_to_big(BNLEN, SM9_a, para_a);

	bytes_to_big(BNLEN, SM9_b, para_b);

	bytes_to_big(BNLEN, SM9_N, N);

	bytes_to_big(BNLEN, SM9_t, para_t);

	mip->TWIST = MR_SEXTIC_M;

	ecurve_init(para_a, para_b, para_q, MR_PROJECTIVE);  //Initialises GF(q) elliptic curve

														 //MR_PROJECTIVE specifying  projective coordinates 

	if (!epoint_set(P1_x, P1_y, 0, P1)) return SM9_G1BASEPOINT_SET_ERR;

	if (!(bytes128_to_ecn2(SM9_P2, &P2)))   return SM9_G2BASEPOINT_SET_ERR;

	set_frobenius_constant(&X);

	return 0;

}

/***************************************************************

Function:       SM9_GenerateEncryptKey

Description:    Generate encryption keys(public key and private key)

Calls:          MIRACL functions,SM9_H1,xgcd,ecn2_Bytes128_Print

Called By:      SM9_SelfCheck

Input:          hid:0x03

ID:identification

IDlen:the length of ID

ke:master private key used to generate encryption public key and private key

Output:         Ppubs:encryption public key

deB: encryption private key

Return:         0: success;

1: asking for memory error

Others:

****************************************************************/

int SM9_GenerateEncryptKey(unsigned char hid[], unsigned char *ID, int IDlen, big ke, unsigned char Ppubs[], unsigned char deB[])

{

	big h1, t1, t2, rem, xPpub, yPpub, tmp;

	unsigned char *Z = NULL;

	int Zlen = IDlen + 1, buf;

	ecn2 dEB;

	epoint *Ppub;

	h1 = mirvar(0); t1 = mirvar(0);

	t2 = mirvar(0); rem = mirvar(0); tmp = mirvar(0);

	xPpub = mirvar(0); yPpub = mirvar(0);

	Ppub = epoint_init();

	dEB.x.a = mirvar(0); dEB.x.b = mirvar(0); dEB.y.a = mirvar(0); dEB.y.b = mirvar(0);

	dEB.z.a = mirvar(0); dEB.z.b = mirvar(0); dEB.marker = MR_EPOINT_INFINITY;

	Z = (char *)malloc(sizeof(char)*(Zlen + 1));

	memcpy(Z, ID, IDlen);

	memcpy(Z + IDlen, hid, 1);

	buf = SM9_H1(Z, Zlen, N, h1);

	if (buf != 0)    return buf;

	add(h1, ke, t1);//t1=H1(IDA||hid,N)+ks

	xgcd(t1, N, t1, t1, t1);//t1=t1(-1)

	multiply(ke, t1, t2); divide(t2, N, rem);//t2=ks*t1(-1) 

											 //Ppub=[ke]P2

	ecurve_mult(ke, P1, Ppub);

	//deB=[t2]P2

	ecn2_copy(&P2, &dEB);

	ecn2_mul(t2, &dEB);

	printf("\n**************用户B私钥 deB = (xdeB, ydeB)：*********************\n");

	ecn2_Bytes128_Print(dEB);

	printf("\n*******************加密主公钥 Ppubs=[ke]P1：**********************\n");

	epoint_get(Ppub, xPpub, yPpub);

	cotnum(xPpub, stdout); cotnum(yPpub, stdout);

	epoint_get(Ppub, xPpub, yPpub);

	big_to_bytes(BNLEN, xPpub, Ppubs, 1);

	big_to_bytes(BNLEN, yPpub, Ppubs + BNLEN, 1);

	redc(dEB.x.b, tmp); big_to_bytes(BNLEN, tmp, deB, 1);

	redc(dEB.x.a, tmp); big_to_bytes(BNLEN, tmp, deB + BNLEN, 1);

	redc(dEB.y.b, tmp); big_to_bytes(BNLEN, tmp, deB + BNLEN * 2, 1);

	redc(dEB.y.a, tmp); big_to_bytes(BNLEN, tmp, deB + BNLEN * 3, 1);

	free(Z);

	return 0;

}

/****************************************************************

Function:       SM9_Encrypt

Description:    SM9 encryption algorithm

Calls:          MIRACL functions,zzn12_init(),ecap(),member(),zzn12_ElementPrint(),

zzn12_pow(),LinkCharZzn12(),SM3_KDF(),SM9_Enc_MAC(),SM4_Block_Encrypt()

Called By:      SM9_SelfCheck()

Input:

hid:0x03

IDB          //identification of userB

message      //the message to be encrypted

len          //the length of message

rand         //a random number K lies in [1,N-1]

EncID        //encryption identification,0:stream cipher  1:block cipher

k1_len       //the byte length of K1 in block cipher algorithm

k2_len       //the byte length of K2 in MAC algorithm

Ppubs        //encrtption public key

Output:         C            //cipher C1||C3||C2

Clen         //the byte length of C

Return:

0: success

1: asking for memory error

2: element is out of order q

3: R-ate calculation error

A: K1 equals 0

Others:

****************************************************************/

int SM9_Encrypt(unsigned char hid[], unsigned char *IDB, unsigned char *message, int mlen, unsigned char rand[],int EncID, int k1_len, int k2_len, unsigned char Ppub[], unsigned char C[], int *C_len)

{

	big h, x, y, r;

	zzn12 g, w;

	epoint *Ppube, *QB, *C1;

	unsigned char *Z = NULL, *K = NULL, *C2 = NULL, C3[SM3_len / 8];

	int i = 0, j = 0, Zlen, buf, klen, C2_len;

	//initiate

	h = mirvar(0); r = mirvar(0); x = mirvar(0); y = mirvar(0);

	QB = epoint_init(); Ppube = epoint_init(); C1 = epoint_init();

	zzn12_init(&g); zzn12_init(&w);

	bytes_to_big(BNLEN, Ppub, x);

	bytes_to_big(BNLEN, Ppub + BNLEN, y);

	epoint_set(x, y, 0, Ppube);

	//Step1:calculate QB=[H1(IDB||hid,N)]P1+Ppube

	Zlen = strlen(IDB) + 1;

	Z = (char *)malloc(sizeof(char)*(Zlen + 1));

	if (Z == NULL) return SM9_ASK_MEMORY_ERR;

	memcpy(Z, IDB, strlen(IDB));

	memcpy(Z + strlen(IDB), hid, 1);

	buf = SM9_H1(Z, Zlen, N, h);

	if (buf) return buf;

	ecurve_mult(h, P1, QB);

	ecurve_add(Ppube, QB);

	printf("\n*******************QB:=[H1(IDB||hid,N)]P1+Ppube*****************\n");

	epoint_get(QB, x, y);

	cotnum(x, stdout); cotnum(y, stdout);

	//Step2:randnom

	bytes_to_big(BNLEN, rand, r);

	printf("\n***********************随机数 r:********************************\n");

	cotnum(r, stdout);

	//Step3:C1=[r]QB

	ecurve_mult(r, QB, C1);

	printf("\n*************************:C1=[r]QB*******************************\n");

	epoint_get(C1, x, y);

	cotnum(x, stdout); cotnum(y, stdout);

	big_to_bytes(BNLEN, x, C, 1); big_to_bytes(BNLEN, y, C + BNLEN, 1);

	//Step4:g = e(P2, Ppub-e)

	if (!ecap(P2, Ppube, para_t, X, &g)) return SM9_MY_ECAP_12A_ERR;

	//test if a ZZn12 element is of order q

	if (!member(g, para_t, X)) return SM9_MEMBER_ERR;

	printf("\n***********************g=e(P2,Ppube):****************************\n");

	zzn12_ElementPrint(g);

	//Step5:calculate w=g^r

	w = zzn12_pow(g, r);

	printf("\n***************************w=g^r:**********************************\n");

	zzn12_ElementPrint(w);

	free(Z);

	//Step6:calculate C2

	if (EncID == 0)

	{

		//基于密钥派生函数的序列密码算法

		//加密时间: 0.739000 seconds

		//解密时间: 0.156000 seconds

		C2_len = mlen;

		*C_len = BNLEN * 2 + SM3_len / 8 + C2_len;

		//Step:6-1: calculate K=KDF(C1||w||IDB,klen)

		klen = mlen + k2_len;

		Zlen = strlen(IDB) + BNLEN * 14;

		Z = (char *)malloc(sizeof(char)*(Zlen + 1));

		K = (char *)malloc(sizeof(char)*(klen + 1));

		C2 = (char *)malloc(sizeof(char)*(mlen + 1));

		if (Z == NULL || K == NULL || C2 == NULL) return SM9_ASK_MEMORY_ERR;

		LinkCharZzn12(C, BNLEN * 2, w, Z, (Zlen - strlen(IDB)));

		memcpy(Z + BNLEN * 14, IDB, strlen(IDB));

		SM3_KDF(Z, Zlen, klen, K);

		printf("\n*****************K=KDF(C1||w||IDB,klen):***********************\n");

		for (i = 0; i<klen; i++) printf("%02x", K[i]);

		//Step:6-2: calculate C2=M^K1,and test if K1==0?

		for (i = 0; i<mlen; i++)

		{

			if (K[i] == 0) j = j + 1;

			C2[i] = message[i] ^ K[i];

		}

		if (j == mlen) return SM9_ERR_K1_ZERO;

		printf("\n************************* C2=M^K1 :***************************\n");

		for (i = 0; i<C2_len; i++) printf("%02x", C2[i]);

		//Step7:calculate C3=MAC(K2,C2)

		SM9_Enc_MAC(K + mlen, k2_len, C2, mlen, C3);

		printf("\n********************** C3=MAC(K2,C2):*************************\n");

		for (i = 0; i<32; i++) printf("%02x", C3[i]);

		memcpy(C + BNLEN * 2, C3, SM3_len / 8);

		memcpy(C + BNLEN * 2 + SM3_len / 8, C2, C2_len);

		free(Z); free(K); free(C2);

	}

	else

	{

		//结合0密钥派生函数的分组密码算法（SM4）

		//加密时间: 0.303000 seconds

		//解密时间: 0.149000 seconds

		C2_len = (mlen / 16 + 1) * 16;

		*C_len = BNLEN * 2 + SM3_len / 8 + C2_len;

		//Step:6-1: calculate K=KDF(C1||w||IDB,klen)

		klen = k1_len + k2_len;

		Zlen = strlen(IDB) + BNLEN * 14;

		Z = (char *)malloc(sizeof(char)*(Zlen + 1));

		K = (char *)malloc(sizeof(char)*(klen + 1));

		C2 = (char *)malloc(sizeof(char)*(C2_len + 1));

		if (Z == NULL || K == NULL || C2 == NULL) return SM9_ASK_MEMORY_ERR;

		LinkCharZzn12(C, BNLEN * 2, w, Z, Zlen - strlen(IDB));

		memcpy(Z + BNLEN * 14, IDB, strlen(IDB));

		SM3_KDF(Z, Zlen, klen, K);

		printf("\n*****************K=KDF(C1||w||IDB,klen):***********************\n");

		for (i = 0; i<klen; i++) printf("%02x", K[i]);

		//Step:6-2: calculate C2=Enc(K1,M),and also test if K1==0?

		for (i = 0; i<k1_len; i++)

		{

			if (K[i] == 0) j = j + 1;

		}

		if (j == k1_len) return SM9_ERR_K1_ZERO;

		SM4_Block_Encrypt(K, message, mlen, C2, &C2_len);

		printf("\n*********************** C2=Enc(K1,M) :*************************\n");

		for (i = 0; i<C2_len; i++) printf("%02x", C2[i]);

		//Step7:calculate C3=MAC(K2,C2)

		SM9_Enc_MAC(K + k1_len, k2_len, C2, C2_len, C3);

		printf("\n********************** C3=MAC(K2,C2):*************************\n");

		for (i = 0; i<32; i++) printf("%02x", C3[i]);

		memcpy(C + BNLEN * 2, C3, SM3_len / 8);

		memcpy(C + BNLEN * 2 + SM3_len / 8, C2, C2_len);

		free(Z); free(K); free(C2);

	}

	return 0;

}

/****************************************************************

Function:       SM9_Decrypt

Description:    SM9 Decryption algorithm

Calls:          MIRACL functions,zzn12_init(),Test_Point(), ecap(),

member(),zzn12_ElementPrint(),LinkCharZzn12(),SM3_KDF(),

SM9_Enc_MAC(),SM4_Block_Decrypt(),bytes128_to_ecn2()

Called By:      SM9_SelfCheck()

Input:

C            //cipher C1||C3||C2

C_len        //the byte length of C

deB          //private key of user B

IDB          //identification of userB

EncID        //encryption identification,0:stream cipher  1:block cipher

k1_len       //the byte length of K1 in block cipher algorithm

k2_len       //the byte length of K2 in MAC algorithm

Output:

M            //message

Mlen:        //the length of message

Return:

0: success

1: asking for memory error

2: element is out of order q

3: R-ate calculation error

4: test if C1 is on G1

A: K1 equals 0

B: compare error of C3

Others:

****************************************************************/

int SM9_Decrypt(unsigned char C[], int C_len, unsigned char deB[], unsigned char *IDB, int EncID,

	int k1_len, int k2_len, unsigned char M[], int * Mlen)

{

	big x, y;

	epoint *C1;

	zzn12 w;

	ecn2 dEB;

	int mlen, klen, Zlen, i, number = 0;

	unsigned char *Z = NULL, *K = NULL, *K1 = NULL, u[SM3_len / 8];

	x = mirvar(0); y = mirvar(0);

	dEB.x.a = mirvar(0); dEB.x.b = mirvar(0); dEB.y.a = mirvar(0); dEB.y.b = mirvar(0);

	dEB.z.a = mirvar(0); dEB.z.b = mirvar(0); dEB.marker = MR_EPOINT_INFINITY;

	C1 = epoint_init(); zzn12_init(&w);

	bytes_to_big(BNLEN, C, x); bytes_to_big(BNLEN, C + BNLEN, y);

	bytes128_to_ecn2(deB, &dEB);

	//Step1:get C1,and test if C1 is on G1

	epoint_set(x, y, 1, C1);

	if (Test_Point(C1)) return SM9_C1_NOT_VALID_G1;

	//Step2:w = e(C1, deB)

	if (!ecap(dEB, C1, para_t, X, &w)) return SM9_MY_ECAP_12A_ERR;

	//test if a ZZn12 element is of order q

	if (!member(w, para_t, X)) return SM9_MEMBER_ERR;

	printf("\n*********************** w = e(C1, deB):****************************\n");

	zzn12_ElementPrint(w);

	//Step3:Calculate plaintext

	mlen = C_len - BNLEN * 2 - SM3_len / 8;

	if (EncID == 0)

	{

		//Step3-1:calculate K=KDF(C1||w||IDB,klen)

		klen = mlen + k2_len;

		Zlen = strlen(IDB) + BNLEN * 14;

		Z = (char *)malloc(sizeof(char)*(Zlen + 1));

		K = (char *)malloc(sizeof(char)*(klen + 1));

		if (Z == NULL || K == NULL)  return SM9_ASK_MEMORY_ERR;

		LinkCharZzn12(C, BNLEN * 2, w, Z, Zlen - strlen(IDB));

		memcpy(Z + BNLEN * 14, IDB, strlen(IDB));

		SM3_KDF(Z, Zlen, klen, K);

		printf("\n*****************K=KDF(C1||w||IDB,klen):***********************\n");

		for (i = 0; i<klen; i++) printf("%02x", K[i]);

		//Step:3-2: calculate M=C2^K1,and test if K1==0?

		for (i = 0; i<mlen; i++)

		{

			if (K[i] == 0) number += 1;

			M[i] = C[i + C_len - mlen] ^ K[i];

		}

		if (number == mlen) return SM9_ERR_K1_ZERO;

		*Mlen = mlen;

		//Step4:calculate u=MAC(K2,C2)

		SM9_Enc_MAC(K + mlen, k2_len, &C[C_len - mlen], mlen, u);

		if (memcmp(u, &C[BNLEN * 2], SM3_len / 8)) return SM9_C3_MEMCMP_ERR;

		printf("\n****************************** M:******************************\n");

		for (i = 0; i<mlen; i++) printf("%02x", M[i]);

		free(Z); free(K);

	}

	else

	{

		//Step:3-1: calculate K=KDF(C1||w||IDB,klen)

		klen = k1_len + k2_len;

		Zlen = strlen(IDB) + BNLEN * 14;

		Z = (char *)malloc(sizeof(char)*(Zlen + 1));

		K = (char *)malloc(sizeof(char)*(klen + 1));

		K1 = (char *)malloc(sizeof(char)*(k1_len + 1));

		if (Z == NULL || K == NULL || K1 == NULL) return SM9_ASK_MEMORY_ERR;

		LinkCharZzn12(C, BNLEN * 2, w, Z, Zlen - strlen(IDB));

		memcpy(Z + BNLEN * 14, IDB, strlen(IDB));

		SM3_KDF(Z, Zlen, klen, K);

		printf("\n*****************K=KDF(C1||w||IDB,klen):***********************\n");

		for (i = 0; i<klen; i++) printf("%02x", K[i]);

		//Step:3-2: calculate M=dec(K1,C2),and test if K1==0?

		for (i = 0; i<k1_len; i++)

		{

			if (K[i] == 0) number += 1;

			K1[i] = K[i];

		}

		if (number == k1_len) return SM9_ERR_K1_ZERO;

		SM4_Block_Decrypt(K1, &C[C_len - mlen], mlen, M, Mlen);

		//Step4:calculate u=MAC(K2,C2)

		SM9_Enc_MAC(K + k1_len, k2_len, &C[C_len - mlen], mlen, u);

		if (memcmp(u, &C[BNLEN * 2], SM3_len / 8)) return SM9_C3_MEMCMP_ERR;

		free(Z); free(K); free(K1);

	}

	return 0;

}

/****************************************************************

Function:       SM9_SelfCheck

Description:    SM9 self check

Calls:          MIRACL functions,SM9_Init(),SM9_GenerateEncryptKey(),

SM9_Encrypt,SM9_Decrypt

Called By:

Input:

Output:

Return:         0: self-check success

1: asking for memory error

2: element is out of order q

3: R-ate calculation error

4: test if C1 is on G1

5: base point P1 error

6: base point P2 error

7: Encryption public key generated error

8: Encryption private key generated error

9: encryption error

A: K1 equals 0

B: compare error of C3

C: decryption error

Others:

****************************************************************/

int SM9_SelfCheck()

{

	int MAX_LEN=1024;

	//时间定义

	time_t begin, end;

	//the master private key

	unsigned char KE[32] = { 0x00,0x01,0xED,0xEE,0x37,0x78,0xF4,0x41,0xF8,0xDE,0xA3,0xD9,0xFA,0x0A,0xCC,0x4E,

		0x07,0xEE,0x36,0xC9,0x3F,0x9A,0x08,0x61,0x8A,0xF4,0xAD,0x85,0xCE,0xDE,0x1C,0x22 };

	unsigned char rand[32] = {0x00,0x00,0xAA,0xC0,0x54,0x17,0x79,0xC8,0xFC,0x45,0xE3,0xE2,0xCB,0x25,0xC1,0x2B,

		0x5D,0x25,0x76,0xB2,0x12,0x9A,0xE8,0xBB,0x5E,0xE2,0xCB,0xE5,0xEC,0x9E,0x78,0x5C };

	//standard datas

	unsigned char std_Ppub[64] = { 0x78,0x7E,0xD7,0xB8,0xA5,0x1F,0x3A,0xB8,0x4E,0x0A,0x66,0x00,0x3F,0x32,0xDA,0x5C,

		0x72,0x0B,0x17,0xEC,0xA7,0x13,0x7D,0x39,0xAB,0xC6,0x6E,0x3C,0x80,0xA8,0x92,0xFF,

		0x76,0x9D,0xE6,0x17,0x91,0xE5,0xAD,0xC4,0xB9,0xFF,0x85,0xA3,0x13,0x54,0x90,0x0B,

		0x20,0x28,0x71,0x27,0x9A,0x8C,0x49,0xDC,0x3F,0x22,0x0F,0x64,0x4C,0x57,0xA7,0xB1 };

	unsigned char std_deB[128] = { 0x94,0x73,0x6A,0xCD,0x2C,0x8C,0x87,0x96,0xCC,0x47,0x85,0xE9,0x38,0x30,0x1A,0x13,

		0x9A,0x05,0x9D,0x35,0x37,0xB6,0x41,0x41,0x40,0xB2,0xD3,0x1E,0xEC,0xF4,0x16,0x83,

		0x11,0x5B,0xAE,0x85,0xF5,0xD8,0xBC,0x6C,0x3D,0xBD,0x9E,0x53,0x42,0x97,0x9A,0xCC,

		0xCF,0x3C,0x2F,0x4F,0x28,0x42,0x0B,0x1C,0xB4,0xF8,0xC0,0xB5,0x9A,0x19,0xB1,0x58,

		0x7A,0xA5,0xE4,0x75,0x70,0xDA,0x76,0x00,0xCD,0x76,0x0A,0x0C,0xF7,0xBE,0xAF,0x71,

		0xC4,0x47,0xF3,0x84,0x47,0x53,0xFE,0x74,0xFA,0x7B,0xA9,0x2C,0xA7,0xD3,0xB5,0x5F,

		0x27,0x53,0x8A,0x62,0xE7,0xF7,0xBF,0xB5,0x1D,0xCE,0x08,0x70,0x47,0x96,0xD9,0x4C,

		0x9D,0x56,0x73,0x4F,0x11,0x9E,0xA4,0x47,0x32,0xB5,0x0E,0x31,0xCD,0xEB,0x75,0xC1 };

	unsigned char std_C_stream[116] = { 0x24,0x45,0x47,0x11,0x64,0x49,0x06,0x18,0xE1,0xEE,0x20,0x52,0x8F,0xF1,0xD5,0x45,

		0xB0,0xF1,0x4C,0x8B,0xCA,0xA4,0x45,0x44,0xF0,0x3D,0xAB,0x5D,0xAC,0x07,0xD8,0xFF,

		0x42,0xFF,0xCA,0x97,0xD5,0x7C,0xDD,0xC0,0x5E,0xA4,0x05,0xF2,0xE5,0x86,0xFE,0xB3,

		0xA6,0x93,0x07,0x15,0x53,0x2B,0x80,0x00,0x75,0x9F,0x13,0x05,0x9E,0xD5,0x9A,0xC0,

		0xBA,0x67,0x23,0x87,0xBC,0xD6,0xDE,0x50,0x16,0xA1,0x58,0xA5,0x2B,0xB2,0xE7,0xFC,

		0x42,0x91,0x97,0xBC,0xAB,0x70,0xB2,0x5A,0xFE,0xE3,0x7A,0x2B,0x9D,0xB9,0xF3,0x67,

		0x1B,0x5F,0x5B,0x0E,0x95,0x14,0x89,0x68,0x2F,0x3E,0x64,0xE1,0x37,0x8C,0xDD,0x5D,

		0xA9,0x51,0x3B,0x1C };

	unsigned char std_C_cipher[128] = { 0x24,0x45,0x47,0x11,0x64,0x49,0x06,0x18,0xE1,0xEE,0x20,0x52,0x8F,0xF1,0xD5,0x45,

		0xB0,0xF1,0x4C,0x8B,0xCA,0xA4,0x45,0x44,0xF0,0x3D,0xAB,0x5D,0xAC,0x07,0xD8,0xFF,

		0x42,0xFF,0xCA,0x97,0xD5,0x7C,0xDD,0xC0,0x5E,0xA4,0x05,0xF2,0xE5,0x86,0xFE,0xB3,

		0xA6,0x93,0x07,0x15,0x53,0x2B,0x80,0x00,0x75,0x9F,0x13,0x05,0x9E,0xD5,0x9A,0xC0,

		0xFD,0x3C,0x98,0xDD,0x92,0xC4,0x4C,0x68,0x33,0x26,0x75,0xA3,0x70,0xCC,0xEE,0xDE,

		0x31,0xE0,0xC5,0xCD,0x20,0x9C,0x25,0x76,0x01,0x14,0x9D,0x12,0xB3,0x94,0xA2,0xBE,

		0xE0,0x5B,0x6F,0xAC,0x6F,0x11,0xB9,0x65,0x26,0x8C,0x99,0x4F,0x00,0xDB,0xA7,0xA8,

		0xBB,0x00,0xFD,0x60,0x58,0x35,0x46,0xCB,0xDF,0x46,0x49,0x25,0x08,0x63,0xF1,0x0A };

	unsigned char *std_message = "Chinese IBE standard";

	unsigned char hid[] = { 0x03 };

	unsigned char *IDA = "Alice", *IDB = "Bob";

	unsigned char Ppub[64], deB[128];

	unsigned char message[1000], C[1000];

	int M_len, C_len;//M_len the length of message //C_len the length of C

	int k1_len = 16, k2_len = 32;

	int EncID = 1;//0,stream  //1 block

	int tmp, i;

	big ke;

	tmp = SM9_Init();

	if (tmp != 0) return tmp;

	ke = mirvar(0);

	bytes_to_big(32, KE, ke);

	printf("\n***********************SM9 密钥生成***************************\n");

	printf("用户A的ID号为：%s\n用户B的ID号为：%s\n",IDA,IDB);

	tmp = SM9_GenerateEncryptKey(hid, IDB, strlen(IDB), ke, Ppub, deB);

	if (tmp != 0)  return tmp;

	if (memcmp(Ppub, std_Ppub, 64) != 0)

		return SM9_GEPUB_ERR;

	if (memcmp(deB, std_deB, 128) != 0)

		return SM9_GEPRI_ERR;

	printf("\n***********************SM9 加密算法**************************\n");

	printf("要加密的明文消息为：%s\n",std_message);

	begin = clock();

	tmp = SM9_Encrypt(hid, IDB, std_message, strlen(std_message), rand, EncID, k1_len, k2_len, Ppub, C, &C_len);

	end = clock();

	printf("\n\n\t\t\t加密时间: %f seconds\n", (double)(end - begin) / CLOCKS_PER_SEC);

	if (tmp != 0) return tmp;

	printf("\n******************************密文为:************************************\n");

		for (i = 0; i<C_len; i++) printf("%02x", C[i]);

	if (EncID == 0) tmp = memcmp(C, std_C_stream,C_len); else tmp=memcmp(C,std_C_cipher,C_len);

	if (tmp) return SM9_ENCRYPT_ERR;

	printf("\n\n");

	printf("\n**********************SM9 解密算法**************************\n");

	begin = clock();

	tmp = SM9_Decrypt(std_C_cipher, 128, deB, IDB, 2, k1_len, k2_len, message, &M_len);

	end = clock();

	printf("\n");

	message[M_len] = '\0';

	printf("明文：%s\n",message);

	if (tmp != 0)

		return tmp;

	if (memcmp(message, std_message, M_len) != 0)

		return SM9_DECRYPT_ERR;

	printf("\n\n\t\t\t解密时间: %f seconds\n", (double)(end - begin) / CLOCKS_PER_SEC);

	printf("\n");

	return 0;

}

完整代码见github

参考文献

1、国标—SM9-加解密

2、密码学-基础理论与应用（李子臣著）

3、商用密码检测中心-源码下载

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