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// Copyright (c) 2009-2014 The Bitcoin developers
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// Distributed under the MIT software license, see the accompanying
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// file COPYING or http://www.opensource.org/licenses/mit-license.php.
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#include "ecwrapper.h"
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#include "serialize.h"
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#include "uint256.h"
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#include <openssl/bn.h>
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#include <openssl/ecdsa.h>
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#include <openssl/obj_mac.h>
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namespace {
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// Generate a private key from just the secret parameter
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int EC_KEY_regenerate_key(EC_KEY *eckey, BIGNUM *priv_key)
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{
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int ok = 0;
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BN_CTX *ctx = NULL;
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EC_POINT *pub_key = NULL;
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if (!eckey) return 0;
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const EC_GROUP *group = EC_KEY_get0_group(eckey);
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if ((ctx = BN_CTX_new()) == NULL)
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goto err;
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pub_key = EC_POINT_new(group);
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if (pub_key == NULL)
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goto err;
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if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, ctx))
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goto err;
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EC_KEY_set_private_key(eckey,priv_key);
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EC_KEY_set_public_key(eckey,pub_key);
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ok = 1;
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err:
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if (pub_key)
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EC_POINT_free(pub_key);
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if (ctx != NULL)
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BN_CTX_free(ctx);
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return(ok);
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}
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// Perform ECDSA key recovery (see SEC1 4.1.6) for curves over (mod p)-fields
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// recid selects which key is recovered
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// if check is non-zero, additional checks are performed
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int ECDSA_SIG_recover_key_GFp(EC_KEY *eckey, ECDSA_SIG *ecsig, const unsigned char *msg, int msglen, int recid, int check)
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{
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if (!eckey) return 0;
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int ret = 0;
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BN_CTX *ctx = NULL;
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BIGNUM *x = NULL;
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BIGNUM *e = NULL;
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BIGNUM *order = NULL;
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BIGNUM *sor = NULL;
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BIGNUM *eor = NULL;
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BIGNUM *field = NULL;
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EC_POINT *R = NULL;
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EC_POINT *O = NULL;
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EC_POINT *Q = NULL;
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BIGNUM *rr = NULL;
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BIGNUM *zero = NULL;
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int n = 0;
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int i = recid / 2;
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const EC_GROUP *group = EC_KEY_get0_group(eckey);
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if ((ctx = BN_CTX_new()) == NULL) { ret = -1; goto err; }
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BN_CTX_start(ctx);
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order = BN_CTX_get(ctx);
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if (!EC_GROUP_get_order(group, order, ctx)) { ret = -2; goto err; }
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x = BN_CTX_get(ctx);
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if (!BN_copy(x, order)) { ret=-1; goto err; }
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if (!BN_mul_word(x, i)) { ret=-1; goto err; }
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if (!BN_add(x, x, ecsig->r)) { ret=-1; goto err; }
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field = BN_CTX_get(ctx);
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if (!EC_GROUP_get_curve_GFp(group, field, NULL, NULL, ctx)) { ret=-2; goto err; }
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if (BN_cmp(x, field) >= 0) { ret=0; goto err; }
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if ((R = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
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if (!EC_POINT_set_compressed_coordinates_GFp(group, R, x, recid % 2, ctx)) { ret=0; goto err; }
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if (check)
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{
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if ((O = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
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if (!EC_POINT_mul(group, O, NULL, R, order, ctx)) { ret=-2; goto err; }
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if (!EC_POINT_is_at_infinity(group, O)) { ret = 0; goto err; }
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}
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if ((Q = EC_POINT_new(group)) == NULL) { ret = -2; goto err; }
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n = EC_GROUP_get_degree(group);
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e = BN_CTX_get(ctx);
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if (!BN_bin2bn(msg, msglen, e)) { ret=-1; goto err; }
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if (8*msglen > n) BN_rshift(e, e, 8-(n & 7));
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zero = BN_CTX_get(ctx);
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if (!BN_zero(zero)) { ret=-1; goto err; }
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if (!BN_mod_sub(e, zero, e, order, ctx)) { ret=-1; goto err; }
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rr = BN_CTX_get(ctx);
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if (!BN_mod_inverse(rr, ecsig->r, order, ctx)) { ret=-1; goto err; }
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sor = BN_CTX_get(ctx);
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if (!BN_mod_mul(sor, ecsig->s, rr, order, ctx)) { ret=-1; goto err; }
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eor = BN_CTX_get(ctx);
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if (!BN_mod_mul(eor, e, rr, order, ctx)) { ret=-1; goto err; }
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if (!EC_POINT_mul(group, Q, eor, R, sor, ctx)) { ret=-2; goto err; }
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if (!EC_KEY_set_public_key(eckey, Q)) { ret=-2; goto err; }
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ret = 1;
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err:
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if (ctx) {
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BN_CTX_end(ctx);
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BN_CTX_free(ctx);
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}
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if (R != NULL) EC_POINT_free(R);
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if (O != NULL) EC_POINT_free(O);
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if (Q != NULL) EC_POINT_free(Q);
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return ret;
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}
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} // anon namespace
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CECKey::CECKey() {
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pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
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assert(pkey != NULL);
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}
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CECKey::~CECKey() {
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EC_KEY_free(pkey);
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}
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void CECKey::GetSecretBytes(unsigned char vch[32]) const {
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const BIGNUM *bn = EC_KEY_get0_private_key(pkey);
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assert(bn);
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int nBytes = BN_num_bytes(bn);
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int n=BN_bn2bin(bn,&vch[32 - nBytes]);
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assert(n == nBytes);
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memset(vch, 0, 32 - nBytes);
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}
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void CECKey::SetSecretBytes(const unsigned char vch[32]) {
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bool ret;
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BIGNUM bn;
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BN_init(&bn);
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ret = BN_bin2bn(vch, 32, &bn) != NULL;
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assert(ret);
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ret = EC_KEY_regenerate_key(pkey, &bn) != 0;
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assert(ret);
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BN_clear_free(&bn);
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}
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int CECKey::GetPrivKeySize(bool fCompressed) {
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EC_KEY_set_conv_form(pkey, fCompressed ? POINT_CONVERSION_COMPRESSED : POINT_CONVERSION_UNCOMPRESSED);
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return i2d_ECPrivateKey(pkey, NULL);
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}
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int CECKey::GetPrivKey(unsigned char* privkey, bool fCompressed) {
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EC_KEY_set_conv_form(pkey, fCompressed ? POINT_CONVERSION_COMPRESSED : POINT_CONVERSION_UNCOMPRESSED);
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return i2d_ECPrivateKey(pkey, &privkey);
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}
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bool CECKey::SetPrivKey(const unsigned char* privkey, size_t size, bool fSkipCheck) {
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if (d2i_ECPrivateKey(&pkey, &privkey, size)) {
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if(fSkipCheck)
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return true;
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// d2i_ECPrivateKey returns true if parsing succeeds.
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// This doesn't necessarily mean the key is valid.
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if (EC_KEY_check_key(pkey))
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return true;
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}
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return false;
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}
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void CECKey::GetPubKey(std::vector<unsigned char> &pubkey, bool fCompressed) {
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EC_KEY_set_conv_form(pkey, fCompressed ? POINT_CONVERSION_COMPRESSED : POINT_CONVERSION_UNCOMPRESSED);
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int nSize = i2o_ECPublicKey(pkey, NULL);
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assert(nSize);
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assert(nSize <= 65);
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pubkey.clear();
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pubkey.resize(nSize);
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unsigned char *pbegin(begin_ptr(pubkey));
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int nSize2 = i2o_ECPublicKey(pkey, &pbegin);
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assert(nSize == nSize2);
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}
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bool CECKey::SetPubKey(const unsigned char* pubkey, size_t size) {
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return o2i_ECPublicKey(&pkey, &pubkey, size) != NULL;
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}
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bool CECKey::Sign(const uint256 &hash, std::vector<unsigned char>& vchSig, bool lowS) {
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vchSig.clear();
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ECDSA_SIG *sig = ECDSA_do_sign((unsigned char*)&hash, sizeof(hash), pkey);
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if (sig == NULL)
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return false;
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BN_CTX *ctx = BN_CTX_new();
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BN_CTX_start(ctx);
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const EC_GROUP *group = EC_KEY_get0_group(pkey);
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BIGNUM *order = BN_CTX_get(ctx);
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BIGNUM *halforder = BN_CTX_get(ctx);
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EC_GROUP_get_order(group, order, ctx);
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BN_rshift1(halforder, order);
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if (lowS && BN_cmp(sig->s, halforder) > 0) {
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// enforce low S values, by negating the value (modulo the order) if above order/2.
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BN_sub(sig->s, order, sig->s);
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}
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BN_CTX_end(ctx);
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BN_CTX_free(ctx);
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unsigned int nSize = ECDSA_size(pkey);
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vchSig.resize(nSize); // Make sure it is big enough
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unsigned char *pos = &vchSig[0];
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nSize = i2d_ECDSA_SIG(sig, &pos);
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ECDSA_SIG_free(sig);
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vchSig.resize(nSize); // Shrink to fit actual size
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return true;
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}
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bool CECKey::Verify(const uint256 &hash, const std::vector<unsigned char>& vchSig) {
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// -1 = error, 0 = bad sig, 1 = good
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if (ECDSA_verify(0, (unsigned char*)&hash, sizeof(hash), &vchSig[0], vchSig.size(), pkey) != 1)
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return false;
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return true;
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}
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bool CECKey::SignCompact(const uint256 &hash, unsigned char *p64, int &rec) {
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bool fOk = false;
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ECDSA_SIG *sig = ECDSA_do_sign((unsigned char*)&hash, sizeof(hash), pkey);
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if (sig==NULL)
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return false;
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memset(p64, 0, 64);
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int nBitsR = BN_num_bits(sig->r);
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int nBitsS = BN_num_bits(sig->s);
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if (nBitsR <= 256 && nBitsS <= 256) {
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std::vector<unsigned char> pubkey;
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GetPubKey(pubkey, true);
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for (int i=0; i<4; i++) {
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CECKey keyRec;
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if (ECDSA_SIG_recover_key_GFp(keyRec.pkey, sig, (unsigned char*)&hash, sizeof(hash), i, 1) == 1) {
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std::vector<unsigned char> pubkeyRec;
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keyRec.GetPubKey(pubkeyRec, true);
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if (pubkeyRec == pubkey) {
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rec = i;
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fOk = true;
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break;
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}
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}
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}
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assert(fOk);
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BN_bn2bin(sig->r,&p64[32-(nBitsR+7)/8]);
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BN_bn2bin(sig->s,&p64[64-(nBitsS+7)/8]);
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}
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ECDSA_SIG_free(sig);
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return fOk;
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}
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bool CECKey::Recover(const uint256 &hash, const unsigned char *p64, int rec)
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{
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if (rec<0 || rec>=3)
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return false;
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ECDSA_SIG *sig = ECDSA_SIG_new();
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BN_bin2bn(&p64[0], 32, sig->r);
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BN_bin2bn(&p64[32], 32, sig->s);
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bool ret = ECDSA_SIG_recover_key_GFp(pkey, sig, (unsigned char*)&hash, sizeof(hash), rec, 0) == 1;
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ECDSA_SIG_free(sig);
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return ret;
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}
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bool CECKey::TweakSecret(unsigned char vchSecretOut[32], const unsigned char vchSecretIn[32], const unsigned char vchTweak[32])
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{
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bool ret = true;
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BN_CTX *ctx = BN_CTX_new();
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BN_CTX_start(ctx);
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BIGNUM *bnSecret = BN_CTX_get(ctx);
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BIGNUM *bnTweak = BN_CTX_get(ctx);
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BIGNUM *bnOrder = BN_CTX_get(ctx);
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EC_GROUP *group = EC_GROUP_new_by_curve_name(NID_secp256k1);
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EC_GROUP_get_order(group, bnOrder, ctx); // what a grossly inefficient way to get the (constant) group order...
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BN_bin2bn(vchTweak, 32, bnTweak);
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if (BN_cmp(bnTweak, bnOrder) >= 0)
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ret = false; // extremely unlikely
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BN_bin2bn(vchSecretIn, 32, bnSecret);
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BN_add(bnSecret, bnSecret, bnTweak);
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BN_nnmod(bnSecret, bnSecret, bnOrder, ctx);
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if (BN_is_zero(bnSecret))
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ret = false; // ridiculously unlikely
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int nBits = BN_num_bits(bnSecret);
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memset(vchSecretOut, 0, 32);
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BN_bn2bin(bnSecret, &vchSecretOut[32-(nBits+7)/8]);
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EC_GROUP_free(group);
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BN_CTX_end(ctx);
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BN_CTX_free(ctx);
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return ret;
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}
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bool CECKey::TweakPublic(const unsigned char vchTweak[32]) {
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bool ret = true;
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BN_CTX *ctx = BN_CTX_new();
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BN_CTX_start(ctx);
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BIGNUM *bnTweak = BN_CTX_get(ctx);
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BIGNUM *bnOrder = BN_CTX_get(ctx);
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BIGNUM *bnOne = BN_CTX_get(ctx);
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const EC_GROUP *group = EC_KEY_get0_group(pkey);
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EC_GROUP_get_order(group, bnOrder, ctx); // what a grossly inefficient way to get the (constant) group order...
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BN_bin2bn(vchTweak, 32, bnTweak);
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if (BN_cmp(bnTweak, bnOrder) >= 0)
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ret = false; // extremely unlikely
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EC_POINT *point = EC_POINT_dup(EC_KEY_get0_public_key(pkey), group);
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BN_one(bnOne);
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EC_POINT_mul(group, point, bnTweak, point, bnOne, ctx);
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if (EC_POINT_is_at_infinity(group, point))
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ret = false; // ridiculously unlikely
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EC_KEY_set_public_key(pkey, point);
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EC_POINT_free(point);
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BN_CTX_end(ctx);
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BN_CTX_free(ctx);
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return ret;
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}
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bool CECKey::SanityCheck()
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{
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EC_KEY *pkey = EC_KEY_new_by_curve_name(NID_secp256k1);
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if(pkey == NULL)
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return false;
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EC_KEY_free(pkey);
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// TODO Is there more EC functionality that could be missing?
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return true;
|
|
|
|
}
|