2017-02-21 17:38:18 +00:00
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// Copyright (c) 2014-2017, The Monero Project
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2014-07-23 13:03:52 +00:00
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//
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// All rights reserved.
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//
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// Redistribution and use in source and binary forms, with or without modification, are
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// permitted provided that the following conditions are met:
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//
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// 1. Redistributions of source code must retain the above copyright notice, this list of
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// conditions and the following disclaimer.
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//
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// 2. Redistributions in binary form must reproduce the above copyright notice, this list
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// of conditions and the following disclaimer in the documentation and/or other
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// materials provided with the distribution.
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//
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// 3. Neither the name of the copyright holder nor the names of its contributors may be
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// used to endorse or promote products derived from this software without specific
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// prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
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// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
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// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
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// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
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// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers
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2014-03-03 22:07:58 +00:00
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2013-11-14 22:28:17 +00:00
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#include <cassert>
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#include <cstddef>
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#include <cstdint>
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#include <cstdlib>
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#include <cstring>
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#include <memory>
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2016-03-11 12:25:28 +00:00
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#include <boost/thread/mutex.hpp>
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#include <boost/thread/lock_guard.hpp>
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2017-08-20 20:19:29 +00:00
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#include <boost/shared_ptr.hpp>
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2013-11-14 22:28:17 +00:00
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2014-03-03 22:07:58 +00:00
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#include "common/varint.h"
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#include "warnings.h"
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2013-11-14 22:28:17 +00:00
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#include "crypto.h"
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2014-03-03 22:07:58 +00:00
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#include "hash.h"
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2013-11-14 22:28:17 +00:00
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namespace crypto {
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using std::abort;
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using std::int32_t;
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using std::int64_t;
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using std::size_t;
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using std::uint32_t;
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using std::uint64_t;
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extern "C" {
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#include "crypto-ops.h"
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2014-03-03 22:07:58 +00:00
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#include "random.h"
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2013-11-14 22:28:17 +00:00
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}
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2016-03-11 12:25:28 +00:00
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boost::mutex random_lock;
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2014-03-03 22:07:58 +00:00
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2013-11-14 22:28:17 +00:00
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static inline unsigned char *operator &(ec_point &point) {
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return &reinterpret_cast<unsigned char &>(point);
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}
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static inline const unsigned char *operator &(const ec_point &point) {
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return &reinterpret_cast<const unsigned char &>(point);
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}
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static inline unsigned char *operator &(ec_scalar &scalar) {
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return &reinterpret_cast<unsigned char &>(scalar);
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}
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static inline const unsigned char *operator &(const ec_scalar &scalar) {
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return &reinterpret_cast<const unsigned char &>(scalar);
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}
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2014-06-04 22:59:47 +00:00
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/* generate a random 32-byte (256-bit) integer and copy it to res */
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2017-06-19 23:27:31 +00:00
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static inline void random_scalar_not_thread_safe(ec_scalar &res) {
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2013-11-14 22:28:17 +00:00
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unsigned char tmp[64];
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2016-05-14 21:08:10 +00:00
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generate_random_bytes_not_thread_safe(64, tmp);
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2013-11-14 22:28:17 +00:00
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sc_reduce(tmp);
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memcpy(&res, tmp, 32);
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}
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2017-06-19 23:27:31 +00:00
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static inline void random_scalar(ec_scalar &res) {
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boost::lock_guard<boost::mutex> lock(random_lock);
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random_scalar_not_thread_safe(res);
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}
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2013-11-14 22:28:17 +00:00
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static inline void hash_to_scalar(const void *data, size_t length, ec_scalar &res) {
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2014-03-03 22:07:58 +00:00
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cn_fast_hash(data, length, reinterpret_cast<hash &>(res));
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2013-11-14 22:28:17 +00:00
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sc_reduce32(&res);
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}
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2014-06-04 22:59:47 +00:00
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/*
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* generate public and secret keys from a random 256-bit integer
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* TODO: allow specifiying random value (for wallet recovery)
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*
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*/
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2014-06-06 18:18:11 +00:00
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secret_key crypto_ops::generate_keys(public_key &pub, secret_key &sec, const secret_key& recovery_key, bool recover) {
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2013-11-14 22:28:17 +00:00
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ge_p3 point;
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2014-06-06 18:18:11 +00:00
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secret_key rng;
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if (recover)
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{
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rng = recovery_key;
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}
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else
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{
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random_scalar(rng);
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}
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sec = rng;
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sc_reduce32(&sec); // reduce in case second round of keys (sendkeys)
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2013-11-14 22:28:17 +00:00
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ge_scalarmult_base(&point, &sec);
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ge_p3_tobytes(&pub, &point);
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2014-06-06 18:18:11 +00:00
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return rng;
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2013-11-14 22:28:17 +00:00
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}
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bool crypto_ops::check_key(const public_key &key) {
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ge_p3 point;
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return ge_frombytes_vartime(&point, &key) == 0;
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}
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2014-03-03 22:07:58 +00:00
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bool crypto_ops::secret_key_to_public_key(const secret_key &sec, public_key &pub) {
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ge_p3 point;
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if (sc_check(&sec) != 0) {
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return false;
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}
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ge_scalarmult_base(&point, &sec);
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ge_p3_tobytes(&pub, &point);
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return true;
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}
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bool crypto_ops::generate_key_derivation(const public_key &key1, const secret_key &key2, key_derivation &derivation) {
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ge_p3 point;
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ge_p2 point2;
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ge_p1p1 point3;
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assert(sc_check(&key2) == 0);
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if (ge_frombytes_vartime(&point, &key1) != 0) {
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return false;
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}
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ge_scalarmult(&point2, &key2, &point);
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ge_mul8(&point3, &point2);
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ge_p1p1_to_p2(&point2, &point3);
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ge_tobytes(&derivation, &point2);
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return true;
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}
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2016-08-10 11:48:20 +00:00
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void crypto_ops::derivation_to_scalar(const key_derivation &derivation, size_t output_index, ec_scalar &res) {
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2014-03-03 22:07:58 +00:00
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struct {
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key_derivation derivation;
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char output_index[(sizeof(size_t) * 8 + 6) / 7];
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} buf;
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char *end = buf.output_index;
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buf.derivation = derivation;
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tools::write_varint(end, output_index);
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assert(end <= buf.output_index + sizeof buf.output_index);
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hash_to_scalar(&buf, end - reinterpret_cast<char *>(&buf), res);
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}
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bool crypto_ops::derive_public_key(const key_derivation &derivation, size_t output_index,
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const public_key &base, public_key &derived_key) {
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ec_scalar scalar;
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ge_p3 point1;
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ge_p3 point2;
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ge_cached point3;
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ge_p1p1 point4;
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ge_p2 point5;
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if (ge_frombytes_vartime(&point1, &base) != 0) {
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return false;
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}
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derivation_to_scalar(derivation, output_index, scalar);
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ge_scalarmult_base(&point2, &scalar);
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ge_p3_to_cached(&point3, &point2);
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ge_add(&point4, &point1, &point3);
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ge_p1p1_to_p2(&point5, &point4);
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ge_tobytes(&derived_key, &point5);
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return true;
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}
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void crypto_ops::derive_secret_key(const key_derivation &derivation, size_t output_index,
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const secret_key &base, secret_key &derived_key) {
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ec_scalar scalar;
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assert(sc_check(&base) == 0);
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derivation_to_scalar(derivation, output_index, scalar);
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sc_add(&derived_key, &base, &scalar);
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}
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2013-11-14 22:28:17 +00:00
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struct s_comm {
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hash h;
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ec_point key;
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ec_point comm;
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};
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2017-03-29 23:22:16 +00:00
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struct s_comm_2 {
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hash msg;
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ec_point D;
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ec_point X;
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ec_point Y;
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};
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2014-03-03 22:07:58 +00:00
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void crypto_ops::generate_signature(const hash &prefix_hash, const public_key &pub, const secret_key &sec, signature &sig) {
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2013-11-14 22:28:17 +00:00
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ge_p3 tmp3;
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ec_scalar k;
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s_comm buf;
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#if !defined(NDEBUG)
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{
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ge_p3 t;
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public_key t2;
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assert(sc_check(&sec) == 0);
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ge_scalarmult_base(&t, &sec);
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ge_p3_tobytes(&t2, &t);
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assert(pub == t2);
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}
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#endif
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2014-03-03 22:07:58 +00:00
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buf.h = prefix_hash;
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2013-11-14 22:28:17 +00:00
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buf.key = pub;
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random_scalar(k);
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ge_scalarmult_base(&tmp3, &k);
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ge_p3_tobytes(&buf.comm, &tmp3);
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hash_to_scalar(&buf, sizeof(s_comm), sig.c);
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sc_mulsub(&sig.r, &sig.c, &sec, &k);
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}
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2014-03-03 22:07:58 +00:00
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bool crypto_ops::check_signature(const hash &prefix_hash, const public_key &pub, const signature &sig) {
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2013-11-14 22:28:17 +00:00
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ge_p2 tmp2;
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ge_p3 tmp3;
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ec_scalar c;
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s_comm buf;
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assert(check_key(pub));
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2014-03-03 22:07:58 +00:00
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buf.h = prefix_hash;
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2013-11-14 22:28:17 +00:00
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buf.key = pub;
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if (ge_frombytes_vartime(&tmp3, &pub) != 0) {
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2016-08-28 20:24:19 +00:00
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return false;
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2013-11-14 22:28:17 +00:00
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}
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if (sc_check(&sig.c) != 0 || sc_check(&sig.r) != 0) {
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return false;
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}
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ge_double_scalarmult_base_vartime(&tmp2, &sig.c, &tmp3, &sig.r);
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ge_tobytes(&buf.comm, &tmp2);
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hash_to_scalar(&buf, sizeof(s_comm), c);
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sc_sub(&c, &c, &sig.c);
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return sc_isnonzero(&c) == 0;
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}
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2017-03-29 23:22:16 +00:00
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void crypto_ops::generate_tx_proof(const hash &prefix_hash, const public_key &R, const public_key &A, const public_key &D, const secret_key &r, signature &sig) {
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// sanity check
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ge_p3 R_p3;
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ge_p3 A_p3;
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ge_p3 D_p3;
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if (ge_frombytes_vartime(&R_p3, &R) != 0) throw std::runtime_error("tx pubkey is invalid");
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if (ge_frombytes_vartime(&A_p3, &A) != 0) throw std::runtime_error("recipient view pubkey is invalid");
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if (ge_frombytes_vartime(&D_p3, &D) != 0) throw std::runtime_error("key derivation is invalid");
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#if !defined(NDEBUG)
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{
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assert(sc_check(&r) == 0);
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// check R == r*G
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ge_p3 dbg_R_p3;
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ge_scalarmult_base(&dbg_R_p3, &r);
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public_key dbg_R;
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ge_p3_tobytes(&dbg_R, &dbg_R_p3);
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assert(R == dbg_R);
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// check D == r*A
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ge_p2 dbg_D_p2;
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ge_scalarmult(&dbg_D_p2, &r, &A_p3);
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public_key dbg_D;
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ge_tobytes(&dbg_D, &dbg_D_p2);
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assert(D == dbg_D);
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}
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#endif
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// pick random k
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ec_scalar k;
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random_scalar(k);
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// compute X = k*G
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ge_p3 X_p3;
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ge_scalarmult_base(&X_p3, &k);
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// compute Y = k*A
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ge_p2 Y_p2;
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ge_scalarmult(&Y_p2, &k, &A_p3);
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// sig.c = Hs(Msg || D || X || Y)
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s_comm_2 buf;
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buf.msg = prefix_hash;
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buf.D = D;
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ge_p3_tobytes(&buf.X, &X_p3);
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ge_tobytes(&buf.Y, &Y_p2);
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hash_to_scalar(&buf, sizeof(s_comm_2), sig.c);
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// sig.r = k - sig.c*r
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sc_mulsub(&sig.r, &sig.c, &r, &k);
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}
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bool crypto_ops::check_tx_proof(const hash &prefix_hash, const public_key &R, const public_key &A, const public_key &D, const signature &sig) {
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// sanity check
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ge_p3 R_p3;
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ge_p3 A_p3;
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ge_p3 D_p3;
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if (ge_frombytes_vartime(&R_p3, &R) != 0) return false;
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if (ge_frombytes_vartime(&A_p3, &A) != 0) return false;
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if (ge_frombytes_vartime(&D_p3, &D) != 0) return false;
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if (sc_check(&sig.c) != 0 || sc_check(&sig.r) != 0) return false;
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// compute sig.c*R
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ge_p2 cR_p2;
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ge_scalarmult(&cR_p2, &sig.c, &R_p3);
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// compute sig.r*G
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ge_p3 rG_p3;
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ge_scalarmult_base(&rG_p3, &sig.r);
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// compute sig.c*D
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ge_p2 cD_p2;
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ge_scalarmult(&cD_p2, &sig.c, &D_p3);
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|
// compute sig.r*A
|
|
|
|
ge_p2 rA_p2;
|
|
|
|
ge_scalarmult(&rA_p2, &sig.r, &A_p3);
|
|
|
|
|
|
|
|
// compute X = sig.c*R + sig.r*G
|
|
|
|
public_key cR;
|
|
|
|
ge_tobytes(&cR, &cR_p2);
|
|
|
|
ge_p3 cR_p3;
|
|
|
|
if (ge_frombytes_vartime(&cR_p3, &cR) != 0) return false;
|
|
|
|
ge_cached rG_cached;
|
|
|
|
ge_p3_to_cached(&rG_cached, &rG_p3);
|
|
|
|
ge_p1p1 X_p1p1;
|
|
|
|
ge_add(&X_p1p1, &cR_p3, &rG_cached);
|
|
|
|
ge_p2 X_p2;
|
|
|
|
ge_p1p1_to_p2(&X_p2, &X_p1p1);
|
|
|
|
|
|
|
|
// compute Y = sig.c*D + sig.r*A
|
|
|
|
public_key cD;
|
|
|
|
public_key rA;
|
|
|
|
ge_tobytes(&cD, &cD_p2);
|
|
|
|
ge_tobytes(&rA, &rA_p2);
|
|
|
|
ge_p3 cD_p3;
|
|
|
|
ge_p3 rA_p3;
|
|
|
|
if (ge_frombytes_vartime(&cD_p3, &cD) != 0) return false;
|
|
|
|
if (ge_frombytes_vartime(&rA_p3, &rA) != 0) return false;
|
|
|
|
ge_cached rA_cached;
|
|
|
|
ge_p3_to_cached(&rA_cached, &rA_p3);
|
|
|
|
ge_p1p1 Y_p1p1;
|
|
|
|
ge_add(&Y_p1p1, &cD_p3, &rA_cached);
|
|
|
|
ge_p2 Y_p2;
|
|
|
|
ge_p1p1_to_p2(&Y_p2, &Y_p1p1);
|
|
|
|
|
|
|
|
// compute c2 = Hs(Msg || D || X || Y)
|
|
|
|
s_comm_2 buf;
|
|
|
|
buf.msg = prefix_hash;
|
|
|
|
buf.D = D;
|
|
|
|
ge_tobytes(&buf.X, &X_p2);
|
|
|
|
ge_tobytes(&buf.Y, &Y_p2);
|
|
|
|
ec_scalar c2;
|
|
|
|
hash_to_scalar(&buf, sizeof(s_comm_2), c2);
|
|
|
|
|
|
|
|
// test if c2 == sig.c
|
|
|
|
sc_sub(&c2, &c2, &sig.c);
|
|
|
|
return sc_isnonzero(&c2) == 0;
|
|
|
|
}
|
|
|
|
|
2013-11-14 22:28:17 +00:00
|
|
|
static void hash_to_ec(const public_key &key, ge_p3 &res) {
|
|
|
|
hash h;
|
|
|
|
ge_p2 point;
|
|
|
|
ge_p1p1 point2;
|
2014-03-03 22:07:58 +00:00
|
|
|
cn_fast_hash(std::addressof(key), sizeof(public_key), h);
|
2013-11-14 22:28:17 +00:00
|
|
|
ge_fromfe_frombytes_vartime(&point, reinterpret_cast<const unsigned char *>(&h));
|
|
|
|
ge_mul8(&point2, &point);
|
|
|
|
ge_p1p1_to_p3(&res, &point2);
|
|
|
|
}
|
|
|
|
|
|
|
|
void crypto_ops::generate_key_image(const public_key &pub, const secret_key &sec, key_image &image) {
|
|
|
|
ge_p3 point;
|
|
|
|
ge_p2 point2;
|
|
|
|
assert(sc_check(&sec) == 0);
|
|
|
|
hash_to_ec(pub, point);
|
|
|
|
ge_scalarmult(&point2, &sec, &point);
|
|
|
|
ge_tobytes(&image, &point2);
|
|
|
|
}
|
|
|
|
|
2014-03-03 22:07:58 +00:00
|
|
|
PUSH_WARNINGS
|
|
|
|
DISABLE_VS_WARNINGS(4200)
|
2016-05-18 04:52:01 +00:00
|
|
|
struct ec_point_pair {
|
|
|
|
ec_point a, b;
|
|
|
|
};
|
2013-11-14 22:28:17 +00:00
|
|
|
struct rs_comm {
|
|
|
|
hash h;
|
2016-05-18 04:52:01 +00:00
|
|
|
struct ec_point_pair ab[];
|
2013-11-14 22:28:17 +00:00
|
|
|
};
|
2014-03-03 22:07:58 +00:00
|
|
|
POP_WARNINGS
|
2013-11-14 22:28:17 +00:00
|
|
|
|
|
|
|
static inline size_t rs_comm_size(size_t pubs_count) {
|
2016-05-18 04:52:01 +00:00
|
|
|
return sizeof(rs_comm) + pubs_count * sizeof(ec_point_pair);
|
2013-11-14 22:28:17 +00:00
|
|
|
}
|
|
|
|
|
2014-03-03 22:07:58 +00:00
|
|
|
void crypto_ops::generate_ring_signature(const hash &prefix_hash, const key_image &image,
|
2013-11-14 22:28:17 +00:00
|
|
|
const public_key *const *pubs, size_t pubs_count,
|
|
|
|
const secret_key &sec, size_t sec_index,
|
|
|
|
signature *sig) {
|
|
|
|
size_t i;
|
|
|
|
ge_p3 image_unp;
|
|
|
|
ge_dsmp image_pre;
|
|
|
|
ec_scalar sum, k, h;
|
2017-08-20 20:19:29 +00:00
|
|
|
boost::shared_ptr<rs_comm> buf(reinterpret_cast<rs_comm *>(malloc(rs_comm_size(pubs_count))), free);
|
|
|
|
if (!buf)
|
|
|
|
abort();
|
2013-11-14 22:28:17 +00:00
|
|
|
assert(sec_index < pubs_count);
|
|
|
|
#if !defined(NDEBUG)
|
|
|
|
{
|
|
|
|
ge_p3 t;
|
|
|
|
public_key t2;
|
|
|
|
key_image t3;
|
|
|
|
assert(sc_check(&sec) == 0);
|
|
|
|
ge_scalarmult_base(&t, &sec);
|
|
|
|
ge_p3_tobytes(&t2, &t);
|
|
|
|
assert(*pubs[sec_index] == t2);
|
|
|
|
generate_key_image(*pubs[sec_index], sec, t3);
|
|
|
|
assert(image == t3);
|
|
|
|
for (i = 0; i < pubs_count; i++) {
|
|
|
|
assert(check_key(*pubs[i]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
if (ge_frombytes_vartime(&image_unp, &image) != 0) {
|
|
|
|
abort();
|
|
|
|
}
|
|
|
|
ge_dsm_precomp(image_pre, &image_unp);
|
|
|
|
sc_0(&sum);
|
2014-03-03 22:07:58 +00:00
|
|
|
buf->h = prefix_hash;
|
2013-11-14 22:28:17 +00:00
|
|
|
for (i = 0; i < pubs_count; i++) {
|
|
|
|
ge_p2 tmp2;
|
|
|
|
ge_p3 tmp3;
|
|
|
|
if (i == sec_index) {
|
|
|
|
random_scalar(k);
|
|
|
|
ge_scalarmult_base(&tmp3, &k);
|
|
|
|
ge_p3_tobytes(&buf->ab[i].a, &tmp3);
|
|
|
|
hash_to_ec(*pubs[i], tmp3);
|
|
|
|
ge_scalarmult(&tmp2, &k, &tmp3);
|
|
|
|
ge_tobytes(&buf->ab[i].b, &tmp2);
|
|
|
|
} else {
|
|
|
|
random_scalar(sig[i].c);
|
|
|
|
random_scalar(sig[i].r);
|
|
|
|
if (ge_frombytes_vartime(&tmp3, &*pubs[i]) != 0) {
|
|
|
|
abort();
|
|
|
|
}
|
|
|
|
ge_double_scalarmult_base_vartime(&tmp2, &sig[i].c, &tmp3, &sig[i].r);
|
|
|
|
ge_tobytes(&buf->ab[i].a, &tmp2);
|
|
|
|
hash_to_ec(*pubs[i], tmp3);
|
|
|
|
ge_double_scalarmult_precomp_vartime(&tmp2, &sig[i].r, &tmp3, &sig[i].c, image_pre);
|
|
|
|
ge_tobytes(&buf->ab[i].b, &tmp2);
|
|
|
|
sc_add(&sum, &sum, &sig[i].c);
|
|
|
|
}
|
|
|
|
}
|
2017-08-20 20:19:29 +00:00
|
|
|
hash_to_scalar(buf.get(), rs_comm_size(pubs_count), h);
|
2013-11-14 22:28:17 +00:00
|
|
|
sc_sub(&sig[sec_index].c, &h, &sum);
|
|
|
|
sc_mulsub(&sig[sec_index].r, &sig[sec_index].c, &sec, &k);
|
|
|
|
}
|
|
|
|
|
2014-03-03 22:07:58 +00:00
|
|
|
bool crypto_ops::check_ring_signature(const hash &prefix_hash, const key_image &image,
|
2013-11-14 22:28:17 +00:00
|
|
|
const public_key *const *pubs, size_t pubs_count,
|
|
|
|
const signature *sig) {
|
|
|
|
size_t i;
|
|
|
|
ge_p3 image_unp;
|
|
|
|
ge_dsmp image_pre;
|
|
|
|
ec_scalar sum, h;
|
2017-08-20 20:19:29 +00:00
|
|
|
boost::shared_ptr<rs_comm> buf(reinterpret_cast<rs_comm *>(malloc(rs_comm_size(pubs_count))), free);
|
|
|
|
if (!buf)
|
|
|
|
return false;
|
2013-11-14 22:28:17 +00:00
|
|
|
#if !defined(NDEBUG)
|
|
|
|
for (i = 0; i < pubs_count; i++) {
|
|
|
|
assert(check_key(*pubs[i]));
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
if (ge_frombytes_vartime(&image_unp, &image) != 0) {
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
ge_dsm_precomp(image_pre, &image_unp);
|
|
|
|
sc_0(&sum);
|
2014-03-03 22:07:58 +00:00
|
|
|
buf->h = prefix_hash;
|
2013-11-14 22:28:17 +00:00
|
|
|
for (i = 0; i < pubs_count; i++) {
|
|
|
|
ge_p2 tmp2;
|
|
|
|
ge_p3 tmp3;
|
|
|
|
if (sc_check(&sig[i].c) != 0 || sc_check(&sig[i].r) != 0) {
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
if (ge_frombytes_vartime(&tmp3, &*pubs[i]) != 0) {
|
2016-08-28 20:24:19 +00:00
|
|
|
return false;
|
2013-11-14 22:28:17 +00:00
|
|
|
}
|
|
|
|
ge_double_scalarmult_base_vartime(&tmp2, &sig[i].c, &tmp3, &sig[i].r);
|
|
|
|
ge_tobytes(&buf->ab[i].a, &tmp2);
|
|
|
|
hash_to_ec(*pubs[i], tmp3);
|
|
|
|
ge_double_scalarmult_precomp_vartime(&tmp2, &sig[i].r, &tmp3, &sig[i].c, image_pre);
|
|
|
|
ge_tobytes(&buf->ab[i].b, &tmp2);
|
|
|
|
sc_add(&sum, &sum, &sig[i].c);
|
|
|
|
}
|
2017-08-20 20:19:29 +00:00
|
|
|
hash_to_scalar(buf.get(), rs_comm_size(pubs_count), h);
|
2013-11-14 22:28:17 +00:00
|
|
|
sc_sub(&h, &h, &sum);
|
|
|
|
return sc_isnonzero(&h) == 0;
|
|
|
|
}
|
2014-03-03 22:07:58 +00:00
|
|
|
}
|