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diff --git a/src/multisig/multisig.cpp b/src/multisig/multisig.cpp
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+// Copyright (c) 2017, The Monero Project
+//
+// All rights reserved.
+//
+// Redistribution and use in source and binary forms, with or without modification, are
+// permitted provided that the following conditions are met:
+//
+// 1. Redistributions of source code must retain the above copyright notice, this list of
+// conditions and the following disclaimer.
+//
+// 2. Redistributions in binary form must reproduce the above copyright notice, this list
+// of conditions and the following disclaimer in the documentation and/or other
+// materials provided with the distribution.
+//
+// 3. Neither the name of the copyright holder nor the names of its contributors may be
+// used to endorse or promote products derived from this software without specific
+// prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
+// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
+// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
+// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+#include <unordered_set>
+#include "include_base_utils.h"
+#include "crypto/crypto.h"
+#include "ringct/rctOps.h"
+#include "cryptonote_basic/account.h"
+#include "cryptonote_basic/cryptonote_format_utils.h"
+#include "multisig.h"
+
+#undef MONERO_DEFAULT_LOG_CATEGORY
+#define MONERO_DEFAULT_LOG_CATEGORY "multisig"
+
+using namespace std;
+
+static const rct::key multisig_salt = { {'M', 'u', 'l', 't' , 'i', 's', 'i', 'g', 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } };
+
+namespace cryptonote
+{
+ //-----------------------------------------------------------------
+ crypto::secret_key get_multisig_blinded_secret_key(const crypto::secret_key &key)
+ {
+ rct::keyV data;
+ data.push_back(rct::sk2rct(key));
+ data.push_back(multisig_salt);
+ return rct::rct2sk(rct::hash_to_scalar(data));
+ }
+ //-----------------------------------------------------------------
+ void generate_multisig_N_N(const account_keys &keys, const std::vector<crypto::public_key> &spend_keys, std::vector<crypto::secret_key> &multisig_keys, rct::key &spend_skey, rct::key &spend_pkey)
+ {
+ // the multisig spend public key is the sum of all spend public keys
+ multisig_keys.clear();
+ const crypto::secret_key spend_secret_key = get_multisig_blinded_secret_key(keys.m_spend_secret_key);
+ CHECK_AND_ASSERT_THROW_MES(crypto::secret_key_to_public_key(spend_secret_key, (crypto::public_key&)spend_pkey), "Failed to derive public key");
+ for (const auto &k: spend_keys)
+ rct::addKeys(spend_pkey, spend_pkey, rct::pk2rct(k));
+ multisig_keys.push_back(spend_secret_key);
+ spend_skey = rct::sk2rct(spend_secret_key);
+ }
+ //-----------------------------------------------------------------
+ void generate_multisig_N1_N(const account_keys &keys, const std::vector<crypto::public_key> &spend_keys, std::vector<crypto::secret_key> &multisig_keys, rct::key &spend_skey, rct::key &spend_pkey)
+ {
+ multisig_keys.clear();
+ spend_pkey = rct::identity();
+ spend_skey = rct::zero();
+
+ // create all our composite private keys
+ crypto::secret_key blinded_skey = get_multisig_blinded_secret_key(keys.m_spend_secret_key);
+ for (const auto &k: spend_keys)
+ {
+ rct::key sk = rct::scalarmultKey(rct::pk2rct(k), rct::sk2rct(blinded_skey));
+ crypto::secret_key msk = get_multisig_blinded_secret_key(rct::rct2sk(sk));
+ multisig_keys.push_back(msk);
+ sc_add(spend_skey.bytes, spend_skey.bytes, (const unsigned char*)msk.data);
+ }
+ }
+ //-----------------------------------------------------------------
+ crypto::secret_key generate_multisig_view_secret_key(const crypto::secret_key &skey, const std::vector<crypto::secret_key> &skeys)
+ {
+ rct::key view_skey = rct::sk2rct(get_multisig_blinded_secret_key(skey));
+ for (const auto &k: skeys)
+ sc_add(view_skey.bytes, view_skey.bytes, rct::sk2rct(k).bytes);
+ return rct::rct2sk(view_skey);
+ }
+ //-----------------------------------------------------------------
+ crypto::public_key generate_multisig_N1_N_spend_public_key(const std::vector<crypto::public_key> &pkeys)
+ {
+ rct::key spend_public_key = rct::identity();
+ for (const auto &pk: pkeys)
+ {
+ rct::addKeys(spend_public_key, spend_public_key, rct::pk2rct(pk));
+ }
+ return rct::rct2pk(spend_public_key);
+ }
+ //-----------------------------------------------------------------
+ bool generate_multisig_key_image(const account_keys &keys, size_t multisig_key_index, const crypto::public_key& out_key, crypto::key_image& ki)
+ {
+ if (multisig_key_index >= keys.m_multisig_keys.size())
+ return false;
+ crypto::generate_key_image(out_key, keys.m_multisig_keys[multisig_key_index], ki);
+ return true;
+ }
+ //-----------------------------------------------------------------
+ void generate_multisig_LR(const crypto::public_key pkey, const crypto::secret_key &k, crypto::public_key &L, crypto::public_key &R)
+ {
+ rct::scalarmultBase((rct::key&)L, rct::sk2rct(k));
+ crypto::generate_key_image(pkey, k, (crypto::key_image&)R);
+ }
+ //-----------------------------------------------------------------
+ bool generate_multisig_composite_key_image(const account_keys &keys, const std::unordered_map<crypto::public_key, subaddress_index>& subaddresses, const crypto::public_key& out_key, const crypto::public_key &tx_public_key, const std::vector<crypto::public_key>& additional_tx_public_keys, size_t real_output_index, const std::vector<crypto::key_image> &pkis, crypto::key_image &ki)
+ {
+ cryptonote::keypair in_ephemeral;
+ if (!cryptonote::generate_key_image_helper(keys, subaddresses, out_key, tx_public_key, additional_tx_public_keys, real_output_index, in_ephemeral, ki))
+ return false;
+ std::unordered_set<crypto::key_image> used;
+ for (size_t m = 0; m < keys.m_multisig_keys.size(); ++m)
+ {
+ crypto::key_image pki;
+ bool r = cryptonote::generate_multisig_key_image(keys, m, out_key, pki);
+ if (!r)
+ return false;
+ used.insert(pki);
+ }
+ for (const auto &pki: pkis)
+ {
+ if (used.find(pki) == used.end())
+ {
+ used.insert(pki);
+ rct::addKeys((rct::key&)ki, rct::ki2rct(ki), rct::ki2rct(pki));
+ }
+ }
+ return true;
+ }
+ //-----------------------------------------------------------------
+}