/* * Copyright 2014-2024 The GmSSL Project. All Rights Reserved. * * Licensed under the Apache License, Version 2.0 (the License); you may * not use this file except in compliance with the License. * * http://www.apache.org/licenses/LICENSE-2.0 */ #include #include #include #include #include #include #include #include #include int sm2_do_sign(const SM2_KEY *key, const uint8_t dgst[32], SM2_SIGNATURE *sig) { SM2_Z256_POINT P; sm2_z256_t d_inv; sm2_z256_t e; sm2_z256_t k; sm2_z256_t x; sm2_z256_t t; sm2_z256_t r; sm2_z256_t s; // compute (d + 1)^-1 (mod n) sm2_z256_modn_add(d_inv, key->private_key, sm2_z256_one()); if (sm2_z256_is_zero(d_inv)) { error_print(); return -1; } sm2_z256_modn_to_mont(d_inv, d_inv); sm2_z256_modn_mont_inv(d_inv, d_inv); // e = H(M) sm2_z256_from_bytes(e, dgst); retry: // rand k in [1, n - 1] do { if (sm2_z256_rand_range(k, sm2_z256_order()) != 1) { error_print(); return -1; } } while (sm2_z256_is_zero(k)); // (x, y) = kG sm2_z256_point_mul_generator(&P, k); sm2_z256_point_get_xy(&P, x, NULL); // r = e + x (mod n) if (sm2_z256_cmp(e, sm2_z256_order()) >= 0) { sm2_z256_sub(e, e, sm2_z256_order()); } if (sm2_z256_cmp(x, sm2_z256_order()) >= 0) { sm2_z256_sub(x, x, sm2_z256_order()); } sm2_z256_modn_add(r, e, x); // if r == 0 or r + k == n re-generate k sm2_z256_add(t, r, k); if (sm2_z256_is_zero(r) || sm2_z256_cmp(t, sm2_z256_order()) == 0) { goto retry; } // s = ((1 + d)^-1 * (k - r * d)) mod n sm2_z256_modn_to_mont(r, t); sm2_z256_modn_mont_mul(t, t, key->private_key); sm2_z256_modn_sub(k, k, t); sm2_z256_modn_mont_mul(s, d_inv, k); // check s != 0 if (sm2_z256_is_zero(s)) { goto retry; } sm2_z256_to_bytes(r, sig->r); sm2_z256_to_bytes(s, sig->s); gmssl_secure_clear(d_inv, sizeof(d_inv)); gmssl_secure_clear(k, sizeof(k)); gmssl_secure_clear(t, sizeof(t)); return 1; } // d' = (d + 1)^-1 (mod n) int sm2_fast_sign_compute_key(const SM2_KEY *key, sm2_z256_t fast_private) { if (sm2_z256_cmp(key->private_key, sm2_z256_order_minus_one()) >= 0) { error_print(); return -1; } sm2_z256_modn_add(fast_private, key->private_key, sm2_z256_one()); sm2_z256_modn_inv(fast_private, fast_private); return 1; } // use Montgomery's Trick to inverse Z coordinates on multiple (x1, y1) = [k]G int sm2_fast_sign_pre_compute(SM2_SIGN_PRE_COMP pre_comp[32]) { SM2_Z256_POINT P[32]; sm2_z256_t f[32]; sm2_z256_t g[32]; int i; for (i = 0; i < 32; i++) { // rand k in [1, n - 1] do { if (sm2_z256_rand_range(pre_comp[i].k, sm2_z256_order()) != 1) { error_print(); return -1; } } while (sm2_z256_is_zero(pre_comp[i].k)); // (x1, y1) = kG sm2_z256_point_mul_generator(&P[i], pre_comp[i].k); } // f[0] = Z[0] // f[1] = Z[0] * Z[1] // ... // f[31] = Z[0] * Z[1] * ... * Z[31] sm2_z256_copy(f[0], P[0].Z); for (i = 1; i < 32; i++) { sm2_z256_modp_mont_mul(f[i], f[i - 1], P[i].Z); } // f[31]^-1 = (Z[0] * ... * Z[31])^-1 sm2_z256_modp_mont_inv(f[31], f[31]); // g[31] = Z[31] // g[30] = Z[30] * Z[31] // ... // g[1] = Z[1] * Z[2] * ... * Z[31] // sm2_z256_copy(g[31], P[31].Z); for (i = 30; i >= 1; i--) { sm2_z256_modp_mont_mul(g[i], g[i + 1], P[i].Z); } // Z[0]^-1 = g[1] * f[31]^-1 // Z[1]^-1 = g[2] * f[0] * f[31]^-1 // Z[2]^-1 = g[3] * f[1] * f[31]^-1 // ... // Z[30]^-1 = g[31] * f[29] * f[31]^-1 // Z[31]^-1 = f[30] * f[31]^-1 sm2_z256_modp_mont_mul(P[0].Z, g[1], f[31]); for (i = 1; i <= 30; i++) { sm2_z256_modp_mont_mul(P[i].Z, g[i + 1], f[i - 1]); sm2_z256_modp_mont_mul(P[i].Z, P[i].Z, f[31]); } sm2_z256_modp_mont_mul(P[31].Z, f[30], f[31]); // x[i] = X[i] * Z[i]^-2 (mod n) for (i = 0; i < 32; i++) { sm2_z256_modp_mont_sqr(P[i].Z, P[i].Z); sm2_z256_modp_mont_mul(pre_comp[i].x1_modn, P[i].X, P[i].Z); sm2_z256_modp_from_mont(pre_comp[i].x1_modn, pre_comp[i].x1_modn); if (sm2_z256_cmp(pre_comp[i].x1_modn, sm2_z256_order()) >= 0) { sm2_z256_sub(pre_comp[i].x1_modn, pre_comp[i].x1_modn, sm2_z256_order()); } } return 1; } // s = (k - r * d)/(1 + d) // = -r + (k + r)*(1 + d)^-1 // = -r + (k + r) * d' int sm2_fast_sign(const sm2_z256_t fast_private, SM2_SIGN_PRE_COMP *pre_comp, const uint8_t dgst[32], SM2_SIGNATURE *sig) { sm2_z256_t e; sm2_z256_t r; sm2_z256_t s; // e = H(M) sm2_z256_from_bytes(e, dgst); if (sm2_z256_cmp(e, sm2_z256_order()) >= 0) { sm2_z256_sub(e, e, sm2_z256_order()); } // r = e + x1 (mod n) sm2_z256_modn_add(r, e, pre_comp->x1_modn); // s = (k + r) * d' - r sm2_z256_modn_add(s, pre_comp->k, r); sm2_z256_modn_to_mont(s, s); sm2_z256_modn_mont_mul(s, s, fast_private); // mont(s) * d = s * R^-1 * d * R = s * d sm2_z256_modn_sub(s, s, r); sm2_z256_to_bytes(r, sig->r); sm2_z256_to_bytes(s, sig->s); return 1; } int sm2_fast_verify(const SM2_Z256_POINT point_table[16], const uint8_t dgst[32], const SM2_SIGNATURE *sig) { SM2_Z256_POINT R; SM2_Z256_POINT T; sm2_z256_t r; sm2_z256_t s; sm2_z256_t e; sm2_z256_t x; sm2_z256_t t; // check r, s in [1, n-1] sm2_z256_from_bytes(r, sig->r); if (sm2_z256_is_zero(r) == 1) { error_print(); return -1; } if (sm2_z256_cmp(r, sm2_z256_order()) >= 0) { error_print(); return -1; } sm2_z256_from_bytes(s, sig->s); if (sm2_z256_is_zero(s) == 1) { error_print(); return -1; } if (sm2_z256_cmp(s, sm2_z256_order()) >= 0) { error_print(); return -1; } // t = r + s (mod n), check t != 0 sm2_z256_modn_add(t, r, s); if (sm2_z256_is_zero(t)) { error_print(); return -1; } // Q(x,y) = s * G + t * P sm2_z256_point_mul_generator(&R, s); sm2_z256_point_mul_ex(&T, t, point_table); sm2_z256_point_add(&R, &R, &T); sm2_z256_point_get_xy(&R, x, NULL); // e = H(M) sm2_z256_from_bytes(e, dgst); if (sm2_z256_cmp(e, sm2_z256_order()) >= 0) { sm2_z256_sub(e, e, sm2_z256_order()); } // r' = e + x (mod n) if (sm2_z256_cmp(x, sm2_z256_order()) >= 0) { sm2_z256_sub(x, x, sm2_z256_order()); } sm2_z256_modn_add(e, e, x); // check if r == r' if (sm2_z256_cmp(e, r) != 0) { error_print(); return -1; } return 1; } int sm2_do_verify(const SM2_KEY *key, const uint8_t dgst[32], const SM2_SIGNATURE *sig) { SM2_Z256_POINT R; SM2_Z256_POINT T; sm2_z256_t r; sm2_z256_t s; sm2_z256_t e; sm2_z256_t x; sm2_z256_t t; // check r, s in [1, n-1] sm2_z256_from_bytes(r, sig->r); if (sm2_z256_is_zero(r) == 1) { error_print(); return -1; } if (sm2_z256_cmp(r, sm2_z256_order()) >= 0) { error_print(); return -1; } sm2_z256_from_bytes(s, sig->s); if (sm2_z256_is_zero(s) == 1) { error_print(); return -1; } if (sm2_z256_cmp(s, sm2_z256_order()) >= 0) { error_print(); return -1; } // t = r + s (mod n), check t != 0 sm2_z256_modn_add(t, r, s); if (sm2_z256_is_zero(t)) { error_print(); return -1; } // Q(x,y) = s * G + t * P sm2_z256_point_mul_generator(&R, s); sm2_z256_point_mul(&T, t, &key->public_key); sm2_z256_point_add(&R, &R, &T); sm2_z256_point_get_xy(&R, x, NULL); // e = H(M) sm2_z256_from_bytes(e, dgst); if (sm2_z256_cmp(e, sm2_z256_order()) >= 0) { sm2_z256_sub(e, e, sm2_z256_order()); } // r' = e + x (mod n) if (sm2_z256_cmp(x, sm2_z256_order()) >= 0) { sm2_z256_sub(x, x, sm2_z256_order()); } sm2_z256_modn_add(e, e, x); // check if r == r' if (sm2_z256_cmp(e, r) != 0) { error_print(); return -1; } return 1; } int sm2_signature_to_der(const SM2_SIGNATURE *sig, uint8_t **out, size_t *outlen) { size_t len = 0; if (!sig) { return 0; } if (asn1_integer_to_der(sig->r, 32, NULL, &len) != 1 || asn1_integer_to_der(sig->s, 32, NULL, &len) != 1 || asn1_sequence_header_to_der(len, out, outlen) != 1 || asn1_integer_to_der(sig->r, 32, out, outlen) != 1 || asn1_integer_to_der(sig->s, 32, out, outlen) != 1) { error_print(); return -1; } return 1; } int sm2_signature_from_der(SM2_SIGNATURE *sig, const uint8_t **in, size_t *inlen) { int ret; const uint8_t *d; size_t dlen; const uint8_t *r; size_t rlen; const uint8_t *s; size_t slen; if ((ret = asn1_sequence_from_der(&d, &dlen, in, inlen)) != 1) { if (ret < 0) error_print(); return ret; } if (asn1_integer_from_der(&r, &rlen, &d, &dlen) != 1 || asn1_integer_from_der(&s, &slen, &d, &dlen) != 1 || asn1_length_le(rlen, 32) != 1 || asn1_length_le(slen, 32) != 1 || asn1_length_is_zero(dlen) != 1) { error_print(); return -1; } memset(sig, 0, sizeof(*sig)); memcpy(sig->r + 32 - rlen, r, rlen); memcpy(sig->s + 32 - slen, s, slen); return 1; } int sm2_signature_print(FILE *fp, int fmt, int ind, const char *label, const uint8_t *a, size_t alen) { SM2_SIGNATURE sig; format_print(fp, fmt, ind, "%s\n", label); ind += 4; if (sm2_signature_from_der(&sig, &a, &alen) != 1 || asn1_length_is_zero(alen) != 1) { error_print(); return -1; } format_bytes(fp, fmt, ind, "r", sig.r, 32); format_bytes(fp, fmt, ind, "s", sig.s, 32); return 1; } int sm2_sign(const SM2_KEY *key, const uint8_t dgst[32], uint8_t *sigbuf, size_t *siglen) { SM2_SIGNATURE sig; if (!key || !dgst || !sigbuf || !siglen) { error_print(); return -1; } if (sm2_do_sign(key, dgst, &sig) != 1) { error_print(); return -1; } *siglen = 0; if (sm2_signature_to_der(&sig, &sigbuf, siglen) != 1) { error_print(); return -1; } return 1; } int sm2_sign_fixlen(const SM2_KEY *key, const uint8_t dgst[32], size_t siglen, uint8_t *sig) { unsigned int trys = 200; // 200 trys is engouh uint8_t buf[SM2_MAX_SIGNATURE_SIZE]; size_t len; switch (siglen) { case SM2_signature_compact_size: case SM2_signature_typical_size: case SM2_signature_max_size: break; default: error_print(); return -1; } while (trys--) { if (sm2_sign(key, dgst, buf, &len) != 1) { error_print(); return -1; } if (len == siglen) { memcpy(sig, buf, len); return 1; } } // might caused by bad randomness error_print(); return -1; } int sm2_verify(const SM2_KEY *key, const uint8_t dgst[32], const uint8_t *sigbuf, size_t siglen) { SM2_SIGNATURE sig; if (!key || !dgst || !sigbuf || !siglen) { error_print(); return -1; } if (sm2_signature_from_der(&sig, &sigbuf, &siglen) != 1 || asn1_length_is_zero(siglen) != 1) { error_print(); return -1; } if (sm2_do_verify(key, dgst, &sig) != 1) { error_print(); return -1; } return 1; } int sm2_compute_z(uint8_t z[32], const SM2_Z256_POINT *pub, const char *id, size_t idlen) { SM3_CTX ctx; uint8_t zin[18 + 32 * 6] = { 0x00, 0x80, 0x31,0x32,0x33,0x34,0x35,0x36,0x37,0x38,0x31,0x32,0x33,0x34,0x35,0x36,0x37,0x38, 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFC, 0x28,0xE9,0xFA,0x9E,0x9D,0x9F,0x5E,0x34,0x4D,0x5A,0x9E,0x4B,0xCF,0x65,0x09,0xA7, 0xF3,0x97,0x89,0xF5,0x15,0xAB,0x8F,0x92,0xDD,0xBC,0xBD,0x41,0x4D,0x94,0x0E,0x93, 0x32,0xC4,0xAE,0x2C,0x1F,0x19,0x81,0x19,0x5F,0x99,0x04,0x46,0x6A,0x39,0xC9,0x94, 0x8F,0xE3,0x0B,0xBF,0xF2,0x66,0x0B,0xE1,0x71,0x5A,0x45,0x89,0x33,0x4C,0x74,0xC7, 0xBC,0x37,0x36,0xA2,0xF4,0xF6,0x77,0x9C,0x59,0xBD,0xCE,0xE3,0x6B,0x69,0x21,0x53, 0xD0,0xA9,0x87,0x7C,0xC6,0x2A,0x47,0x40,0x02,0xDF,0x32,0xE5,0x21,0x39,0xF0,0xA0, }; if (!z || !pub || !id) { error_print(); return -1; } sm2_z256_point_to_bytes(pub, &zin[18 + 32 * 4]); sm3_init(&ctx); if (idlen == SM2_DEFAULT_ID_LENGTH && memcmp(id, SM2_DEFAULT_ID, idlen) == 0) { sm3_update(&ctx, zin, sizeof(zin)); } else { uint8_t idbits[2]; idbits[0] = (uint8_t)(idlen >> 5); idbits[1] = (uint8_t)(idlen << 3); sm3_update(&ctx, idbits, 2); sm3_update(&ctx, (uint8_t *)id, idlen); sm3_update(&ctx, zin + 18, 32 * 6); } sm3_finish(&ctx, z); return 1; } int sm2_sign_init(SM2_SIGN_CTX *ctx, const SM2_KEY *key, const char *id, size_t idlen) { if (!ctx || !key) { error_print(); return -1; } sm3_init(&ctx->sm3_ctx); if (id) { uint8_t z[SM3_DIGEST_SIZE]; if (idlen <= 0 || idlen > SM2_MAX_ID_LENGTH) { error_print(); return -1; } sm2_compute_z(z, &key->public_key, id, idlen); sm3_update(&ctx->sm3_ctx, z, sizeof(z)); } ctx->saved_sm3_ctx = ctx->sm3_ctx; if (sm2_fast_sign_pre_compute(ctx->pre_comp) != 1) { error_print(); return -1; } ctx->num_pre_comp = SM2_SIGN_PRE_COMP_COUNT; // copy private key at last ctx->key = *key; sm2_fast_sign_compute_key(key, ctx->fast_sign_private); return 1; } int sm2_sign_reset(SM2_SIGN_CTX *ctx) { ctx->sm3_ctx = ctx->saved_sm3_ctx; return 1; } int sm2_sign_update(SM2_SIGN_CTX *ctx, const uint8_t *data, size_t datalen) { if (!ctx) { error_print(); return -1; } if (data && datalen > 0) { sm3_update(&ctx->sm3_ctx, data, datalen); } return 1; } int sm2_sign_finish(SM2_SIGN_CTX *ctx, uint8_t *sig, size_t *siglen) { uint8_t dgst[SM3_DIGEST_SIZE]; SM2_SIGNATURE signature; if (!ctx || !sig || !siglen) { error_print(); return -1; } sm3_finish(&ctx->sm3_ctx, dgst); if (ctx->num_pre_comp == 0) { if (sm2_fast_sign_pre_compute(ctx->pre_comp) != 1) { error_print(); return -1; } ctx->num_pre_comp = SM2_SIGN_PRE_COMP_COUNT; } ctx->num_pre_comp--; if (sm2_fast_sign(ctx->fast_sign_private, &ctx->pre_comp[ctx->num_pre_comp], dgst, &signature) != 1) { error_print(); return -1; } *siglen = 0; if (sm2_signature_to_der(&signature, &sig, siglen) != 1) { error_print(); return -1; } return 1; } int sm2_sign_finish_fixlen(SM2_SIGN_CTX *ctx, size_t siglen, uint8_t *sig) { uint8_t dgst[SM3_DIGEST_SIZE]; if (!ctx || !sig || !siglen) { error_print(); return -1; } sm3_finish(&ctx->sm3_ctx, dgst); format_bytes(stderr, 0, 4, "signed dgst", dgst, 32); if (sm2_sign_fixlen(&ctx->key, dgst, siglen, sig) != 1) { error_print(); return -1; } return 1; } int sm2_verify_init(SM2_VERIFY_CTX *ctx, const SM2_KEY *key, const char *id, size_t idlen) { if (!ctx || !key) { error_print(); return -1; } sm3_init(&ctx->sm3_ctx); if (id) { uint8_t z[SM3_DIGEST_SIZE]; if (idlen <= 0 || idlen > SM2_MAX_ID_LENGTH) { error_print(); return -1; } sm2_compute_z(z, &key->public_key, id, idlen); sm3_update(&ctx->sm3_ctx, z, sizeof(z)); } ctx->saved_sm3_ctx = ctx->sm3_ctx; if (sm2_key_set_public_key(&ctx->key, &key->public_key) != 1) { error_print(); return -1; } sm2_z256_point_mul_pre_compute(&key->public_key, ctx->public_point_table); return 1; } int sm2_verify_update(SM2_VERIFY_CTX *ctx, const uint8_t *data, size_t datalen) { if (!ctx) { error_print(); return -1; } if (data && datalen > 0) { sm3_update(&ctx->sm3_ctx, data, datalen); } return 1; } int sm2_verify_finish(SM2_VERIFY_CTX *ctx, const uint8_t *sigbuf, size_t siglen) { uint8_t dgst[SM3_DIGEST_SIZE]; SM2_SIGNATURE sig; if (!ctx || !sigbuf) { error_print(); return -1; } if (sm2_signature_from_der(&sig, &sigbuf, &siglen) != 1 || asn1_length_is_zero(siglen) != 1) { error_print(); return -1; } sm3_finish(&ctx->sm3_ctx, dgst); if (sm2_fast_verify(ctx->public_point_table, dgst, &sig) != 1) { error_print(); return -1; } return 1; } int sm2_verify_reset(SM2_VERIFY_CTX *ctx) { ctx->sm3_ctx = ctx->saved_sm3_ctx; return 1; }