1 // Copyright (c) 2009-2014 The Bitcoin developers
2 // Distributed under the MIT software license, see the accompanying
3 // file COPYING or http://www.opensource.org/licenses/mit-license.php.
10 #include <openssl/bn.h>
11 #include <openssl/ecdsa.h>
12 #include <openssl/obj_mac.h>
17 * Perform ECDSA key recovery (see SEC1 4.1.6) for curves over (mod p)-fields
18 * recid selects which key is recovered
19 * if check is non-zero, additional checks are performed
21 int ECDSA_SIG_recover_key_GFp(EC_KEY *eckey, ECDSA_SIG *ecsig, const unsigned char *msg, int msglen, int recid, int check)
42 const EC_GROUP *group = EC_KEY_get0_group(eckey);
43 if ((ctx = BN_CTX_new()) == NULL) { ret = -1; goto err; }
45 order = BN_CTX_get(ctx);
46 if (!EC_GROUP_get_order(group, order, ctx)) { ret = -2; goto err; }
48 if (!BN_copy(x, order)) { ret=-1; goto err; }
49 if (!BN_mul_word(x, i)) { ret=-1; goto err; }
50 if (!BN_add(x, x, ecsig->r)) { ret=-1; goto err; }
51 field = BN_CTX_get(ctx);
52 if (!EC_GROUP_get_curve_GFp(group, field, NULL, NULL, ctx)) { ret=-2; goto err; }
53 if (BN_cmp(x, field) >= 0) { ret=0; goto err; }
54 if ((R = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
55 if (!EC_POINT_set_compressed_coordinates_GFp(group, R, x, recid % 2, ctx)) { ret=0; goto err; }
58 if ((O = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
59 if (!EC_POINT_mul(group, O, NULL, R, order, ctx)) { ret=-2; goto err; }
60 if (!EC_POINT_is_at_infinity(group, O)) { ret = 0; goto err; }
62 if ((Q = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
63 n = EC_GROUP_get_degree(group);
65 if (!BN_bin2bn(msg, msglen, e)) { ret=-1; goto err; }
66 if (8*msglen > n) BN_rshift(e, e, 8-(n & 7));
67 zero = BN_CTX_get(ctx);
68 if (!BN_zero(zero)) { ret=-1; goto err; }
69 if (!BN_mod_sub(e, zero, e, order, ctx)) { ret=-1; goto err; }
71 if (!BN_mod_inverse(rr, ecsig->r, order, ctx)) { ret=-1; goto err; }
72 sor = BN_CTX_get(ctx);
73 if (!BN_mod_mul(sor, ecsig->s, rr, order, ctx)) { ret=-1; goto err; }
74 eor = BN_CTX_get(ctx);
75 if (!BN_mod_mul(eor, e, rr, order, ctx)) { ret=-1; goto err; }
76 if (!EC_POINT_mul(group, Q, eor, R, sor, ctx)) { ret=-2; goto err; }
77 if (!EC_KEY_set_public_key(eckey, Q)) { ret=-2; goto err; }
86 if (R != NULL) EC_POINT_free(R);
87 if (O != NULL) EC_POINT_free(O);
88 if (Q != NULL) EC_POINT_free(Q);
95 pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
103 void CECKey::GetPubKey(std::vector<unsigned char> &pubkey, bool fCompressed) {
104 EC_KEY_set_conv_form(pkey, fCompressed ? POINT_CONVERSION_COMPRESSED : POINT_CONVERSION_UNCOMPRESSED);
105 int nSize = i2o_ECPublicKey(pkey, NULL);
109 pubkey.resize(nSize);
110 unsigned char *pbegin(begin_ptr(pubkey));
111 int nSize2 = i2o_ECPublicKey(pkey, &pbegin);
112 assert(nSize == nSize2);
115 bool CECKey::SetPubKey(const unsigned char* pubkey, size_t size) {
116 return o2i_ECPublicKey(&pkey, &pubkey, size) != NULL;
119 bool CECKey::Verify(const uint256 &hash, const std::vector<unsigned char>& vchSig) {
120 // -1 = error, 0 = bad sig, 1 = good
121 if (ECDSA_verify(0, (unsigned char*)&hash, sizeof(hash), &vchSig[0], vchSig.size(), pkey) != 1)
126 bool CECKey::Recover(const uint256 &hash, const unsigned char *p64, int rec)
130 ECDSA_SIG *sig = ECDSA_SIG_new();
131 BN_bin2bn(&p64[0], 32, sig->r);
132 BN_bin2bn(&p64[32], 32, sig->s);
133 bool ret = ECDSA_SIG_recover_key_GFp(pkey, sig, (unsigned char*)&hash, sizeof(hash), rec, 0) == 1;
138 bool CECKey::TweakPublic(const unsigned char vchTweak[32]) {
140 BN_CTX *ctx = BN_CTX_new();
142 BIGNUM *bnTweak = BN_CTX_get(ctx);
143 BIGNUM *bnOrder = BN_CTX_get(ctx);
144 BIGNUM *bnOne = BN_CTX_get(ctx);
145 const EC_GROUP *group = EC_KEY_get0_group(pkey);
146 EC_GROUP_get_order(group, bnOrder, ctx); // what a grossly inefficient way to get the (constant) group order...
147 BN_bin2bn(vchTweak, 32, bnTweak);
148 if (BN_cmp(bnTweak, bnOrder) >= 0)
149 ret = false; // extremely unlikely
150 EC_POINT *point = EC_POINT_dup(EC_KEY_get0_public_key(pkey), group);
152 EC_POINT_mul(group, point, bnTweak, point, bnOne, ctx);
153 if (EC_POINT_is_at_infinity(group, point))
154 ret = false; // ridiculously unlikely
155 EC_KEY_set_public_key(pkey, point);
156 EC_POINT_free(point);
162 bool CECKey::SanityCheck()
164 EC_KEY *pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
169 // TODO Is there more EC functionality that could be missing?