mirror of
https://git.wownero.com/wownero/wownero.git
synced 2024-08-15 01:03:23 +00:00
add bulletproofs to the build, with basic unit tests
Based on Java code from Sarang Noether
This commit is contained in:
parent
fe1202646c
commit
90b8d9f271
5 changed files with 914 additions and 2 deletions
|
@ -30,14 +30,16 @@ set(ringct_sources
|
|||
rctOps.cpp
|
||||
rctSigs.cpp
|
||||
rctTypes.cpp
|
||||
rctCryptoOps.c)
|
||||
rctCryptoOps.c
|
||||
bulletproofs.cc)
|
||||
|
||||
set(ringct_headers)
|
||||
|
||||
set(ringct_private_headers
|
||||
rctOps.h
|
||||
rctSigs.h
|
||||
rctTypes.h)
|
||||
rctTypes.h
|
||||
bulletproofs.h)
|
||||
|
||||
monero_private_headers(ringct
|
||||
${crypto_private_headers})
|
||||
|
@ -51,4 +53,5 @@ target_link_libraries(ringct
|
|||
cncrypto
|
||||
cryptonote_basic
|
||||
PRIVATE
|
||||
${OPENSSL_LIBRARIES}
|
||||
${EXTRA_LIBRARIES})
|
||||
|
|
760
src/ringct/bulletproofs.cc
Normal file
760
src/ringct/bulletproofs.cc
Normal file
|
@ -0,0 +1,760 @@
|
|||
// 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.
|
||||
//
|
||||
// Adapted from Java code by Sarang Noether
|
||||
|
||||
#include <stdlib.h>
|
||||
#include <openssl/ssl.h>
|
||||
#include <boost/thread/mutex.hpp>
|
||||
#include "misc_log_ex.h"
|
||||
#include "common/perf_timer.h"
|
||||
extern "C"
|
||||
{
|
||||
#include "crypto/crypto-ops.h"
|
||||
}
|
||||
#include "rctOps.h"
|
||||
#include "bulletproofs.h"
|
||||
|
||||
#undef MONERO_DEFAULT_LOG_CATEGORY
|
||||
#define MONERO_DEFAULT_LOG_CATEGORY "bulletproofs"
|
||||
|
||||
//#define DEBUG_BP
|
||||
|
||||
#define PERF_TIMER_START_BP(x) PERF_TIMER_START_UNIT(x, 1000000)
|
||||
|
||||
namespace rct
|
||||
{
|
||||
|
||||
static rct::key vector_exponent(const rct::keyV &a, const rct::keyV &b);
|
||||
static rct::keyV vector_powers(rct::key x, size_t n);
|
||||
static rct::key inner_product(const rct::keyV &a, const rct::keyV &b);
|
||||
|
||||
static constexpr size_t maxN = 64;
|
||||
static rct::key Hi[maxN], Gi[maxN];
|
||||
static ge_dsmp Gprecomp[64], Hprecomp[64];
|
||||
static const rct::key TWO = { {0x02, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 } };
|
||||
static const rct::keyV oneN = vector_powers(rct::identity(), maxN);
|
||||
static const rct::keyV twoN = vector_powers(TWO, maxN);
|
||||
static const rct::key ip12 = inner_product(oneN, twoN);
|
||||
static boost::mutex init_mutex;
|
||||
|
||||
static rct::key get_exponent(const rct::key &base, size_t idx)
|
||||
{
|
||||
static const std::string salt("bulletproof");
|
||||
std::string hashed = std::string((const char*)base.bytes, sizeof(base)) + salt + tools::get_varint_data(idx);
|
||||
return rct::hashToPoint(rct::hash2rct(crypto::cn_fast_hash(hashed.data(), hashed.size())));
|
||||
}
|
||||
|
||||
static void init_exponents()
|
||||
{
|
||||
boost::lock_guard<boost::mutex> lock(init_mutex);
|
||||
|
||||
static bool init_done = false;
|
||||
if (init_done)
|
||||
return;
|
||||
for (size_t i = 0; i < maxN; ++i)
|
||||
{
|
||||
Hi[i] = get_exponent(rct::H, i * 2);
|
||||
rct::precomp(Hprecomp[i], Hi[i]);
|
||||
Gi[i] = get_exponent(rct::H, i * 2 + 1);
|
||||
rct::precomp(Gprecomp[i], Gi[i]);
|
||||
}
|
||||
init_done = true;
|
||||
}
|
||||
|
||||
/* Given two scalar arrays, construct a vector commitment */
|
||||
static rct::key vector_exponent(const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() <= maxN, "Incompatible sizes of a and maxN");
|
||||
rct::key res = rct::identity();
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
rct::key term;
|
||||
rct::addKeys3(term, a[i], Gprecomp[i], b[i], Hprecomp[i]);
|
||||
rct::addKeys(res, res, term);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Compute a custom vector-scalar commitment */
|
||||
static rct::key vector_exponent_custom(const rct::keyV &A, const rct::keyV &B, const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(A.size() == B.size(), "Incompatible sizes of A and B");
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == A.size(), "Incompatible sizes of a and A");
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() <= maxN, "Incompatible sizes of a and maxN");
|
||||
rct::key res = rct::identity();
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
rct::key term;
|
||||
#if 0
|
||||
// we happen to know where A and B might fall, so don't bother checking the rest
|
||||
ge_dsmp *Acache = NULL, *Bcache = NULL;
|
||||
ge_dsmp Acache_custom[1], Bcache_custom[1];
|
||||
if (Gi[i] == A[i])
|
||||
Acache = Gprecomp + i;
|
||||
else if (i<32 && Gi[i+32] == A[i])
|
||||
Acache = Gprecomp + i + 32;
|
||||
else
|
||||
{
|
||||
rct::precomp(Acache_custom[0], A[i]);
|
||||
Acache = Acache_custom;
|
||||
}
|
||||
if (i == 0 && B[i] == Hi[0])
|
||||
Bcache = Hprecomp;
|
||||
else
|
||||
{
|
||||
rct::precomp(Bcache_custom[0], B[i]);
|
||||
Bcache = Bcache_custom;
|
||||
}
|
||||
rct::addKeys3(term, a[i], *Acache, b[i], *Bcache);
|
||||
#else
|
||||
ge_dsmp Acache, Bcache;
|
||||
rct::precomp(Bcache, B[i]);
|
||||
rct::addKeys3(term, a[i], A[i], b[i], Bcache);
|
||||
#endif
|
||||
rct::addKeys(res, res, term);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Given a scalar, construct a vector of powers */
|
||||
static rct::keyV vector_powers(rct::key x, size_t n)
|
||||
{
|
||||
rct::keyV res(n);
|
||||
if (n == 0)
|
||||
return res;
|
||||
res[0] = rct::identity();
|
||||
if (n == 1)
|
||||
return res;
|
||||
res[1] = x;
|
||||
for (size_t i = 2; i < n; ++i)
|
||||
{
|
||||
sc_mul(res[i].bytes, res[i-1].bytes, x.bytes);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Given two scalar arrays, construct the inner product */
|
||||
static rct::key inner_product(const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
rct::key res = rct::zero();
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
sc_muladd(res.bytes, a[i].bytes, b[i].bytes, res.bytes);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Given two scalar arrays, construct the Hadamard product */
|
||||
static rct::keyV hadamard(const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
rct::keyV res(a.size());
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
sc_mul(res[i].bytes, a[i].bytes, b[i].bytes);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Given two curvepoint arrays, construct the Hadamard product */
|
||||
static rct::keyV hadamard2(const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
rct::keyV res(a.size());
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
rct::addKeys(res[i], a[i], b[i]);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Add two vectors */
|
||||
static rct::keyV vector_add(const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
rct::keyV res(a.size());
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
sc_add(res[i].bytes, a[i].bytes, b[i].bytes);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Subtract two vectors */
|
||||
static rct::keyV vector_subtract(const rct::keyV &a, const rct::keyV &b)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
|
||||
rct::keyV res(a.size());
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
sc_sub(res[i].bytes, a[i].bytes, b[i].bytes);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Multiply a scalar and a vector */
|
||||
static rct::keyV vector_scalar(const rct::keyV &a, const rct::key &x)
|
||||
{
|
||||
rct::keyV res(a.size());
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
sc_mul(res[i].bytes, a[i].bytes, x.bytes);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Exponentiate a curve vector by a scalar */
|
||||
static rct::keyV vector_scalar2(const rct::keyV &a, const rct::key &x)
|
||||
{
|
||||
rct::keyV res(a.size());
|
||||
for (size_t i = 0; i < a.size(); ++i)
|
||||
{
|
||||
rct::scalarmultKey(res[i], a[i], x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
static rct::key switch_endianness(rct::key k)
|
||||
{
|
||||
std::reverse(k.bytes, k.bytes + sizeof(k));
|
||||
return k;
|
||||
}
|
||||
|
||||
/* Compute the inverse of a scalar, the stupid way */
|
||||
static rct::key invert(const rct::key &x)
|
||||
{
|
||||
rct::key inv;
|
||||
|
||||
BN_CTX *ctx = BN_CTX_new();
|
||||
BIGNUM *X = BN_new();
|
||||
BIGNUM *L = BN_new();
|
||||
BIGNUM *I = BN_new();
|
||||
|
||||
BN_bin2bn(switch_endianness(x).bytes, sizeof(rct::key), X);
|
||||
BN_bin2bn(switch_endianness(rct::curveOrder()).bytes, sizeof(rct::key), L);
|
||||
|
||||
CHECK_AND_ASSERT_THROW_MES(BN_mod_inverse(I, X, L, ctx), "Failed to invert");
|
||||
|
||||
const int len = BN_num_bytes(I);
|
||||
CHECK_AND_ASSERT_THROW_MES((size_t)len <= sizeof(rct::key), "Invalid number length");
|
||||
inv = rct::zero();
|
||||
BN_bn2bin(I, inv.bytes);
|
||||
std::reverse(inv.bytes, inv.bytes + len);
|
||||
|
||||
BN_free(I);
|
||||
BN_free(L);
|
||||
BN_free(X);
|
||||
BN_CTX_free(ctx);
|
||||
|
||||
#ifdef DEBUG_BP
|
||||
rct::key tmp;
|
||||
sc_mul(tmp.bytes, inv.bytes, x.bytes);
|
||||
CHECK_AND_ASSERT_THROW_MES(tmp == rct::identity(), "invert failed");
|
||||
#endif
|
||||
return inv;
|
||||
}
|
||||
|
||||
/* Compute the slice of a vector */
|
||||
static rct::keyV slice(const rct::keyV &a, size_t start, size_t stop)
|
||||
{
|
||||
CHECK_AND_ASSERT_THROW_MES(start < a.size(), "Invalid start index");
|
||||
CHECK_AND_ASSERT_THROW_MES(stop <= a.size(), "Invalid stop index");
|
||||
CHECK_AND_ASSERT_THROW_MES(start < stop, "Invalid start/stop indices");
|
||||
rct::keyV res(stop - start);
|
||||
for (size_t i = start; i < stop; ++i)
|
||||
{
|
||||
res[i - start] = a[i];
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* Given a value v (0..2^N-1) and a mask gamma, construct a range proof */
|
||||
Bulletproof bulletproof_PROVE(const rct::key &sv, const rct::key &gamma)
|
||||
{
|
||||
init_exponents();
|
||||
|
||||
PERF_TIMER_UNIT(PROVE, 1000000);
|
||||
|
||||
constexpr size_t logN = 6; // log2(64)
|
||||
constexpr size_t N = 1<<logN;
|
||||
|
||||
rct::key V;
|
||||
rct::keyV aL(N), aR(N);
|
||||
|
||||
PERF_TIMER_START_BP(PROVE_v);
|
||||
rct::addKeys2(V, sv, gamma, rct::H);
|
||||
PERF_TIMER_STOP(PROVE_v);
|
||||
|
||||
PERF_TIMER_START_BP(PROVE_aLaR);
|
||||
for (size_t i = N; i-- > 0; )
|
||||
{
|
||||
if (sv[i/8] & (((uint64_t)1)<<(i%8)))
|
||||
{
|
||||
aL[i] = rct::identity();
|
||||
}
|
||||
else
|
||||
{
|
||||
aL[i] = rct::zero();
|
||||
}
|
||||
sc_sub(aR[i].bytes, aL[i].bytes, rct::identity().bytes);
|
||||
}
|
||||
PERF_TIMER_STOP(PROVE_aLaR);
|
||||
|
||||
|
||||
// DEBUG: Test to ensure this recovers the value
|
||||
#ifdef DEBUG_BP
|
||||
uint64_t test_aL = 0, test_aR = 0;
|
||||
for (size_t i = 0; i < N; ++i)
|
||||
{
|
||||
if (aL[i] == rct::identity())
|
||||
test_aL += ((uint64_t)1)<<i;
|
||||
if (aR[i] == rct::zero())
|
||||
test_aR += ((uint64_t)1)<<i;
|
||||
}
|
||||
uint64_t v_test = 0;
|
||||
for (int n = 0; n < 8; ++n) v_test |= (((uint64_t)sv[n]) << (8*n));
|
||||
CHECK_AND_ASSERT_THROW_MES(test_aL == v_test, "test_aL failed");
|
||||
CHECK_AND_ASSERT_THROW_MES(test_aR == v_test, "test_aR failed");
|
||||
#endif
|
||||
|
||||
PERF_TIMER_START_BP(PROVE_step1);
|
||||
// PAPER LINES 38-39
|
||||
rct::key alpha = rct::skGen();
|
||||
rct::key ve = vector_exponent(aL, aR);
|
||||
rct::key A;
|
||||
rct::addKeys(A, ve, rct::scalarmultKey(rct::H, alpha));
|
||||
|
||||
// PAPER LINES 40-42
|
||||
rct::keyV sL = rct::skvGen(N), sR = rct::skvGen(N);
|
||||
rct::key rho = rct::skGen();
|
||||
ve = vector_exponent(sL, sR);
|
||||
rct::key S;
|
||||
rct::addKeys(S, ve, rct::scalarmultKey(rct::H, rho));
|
||||
|
||||
// PAPER LINES 43-45
|
||||
rct::keyV hashed;
|
||||
hashed.push_back(A);
|
||||
hashed.push_back(S);
|
||||
rct::key y = rct::hash_to_scalar(hashed);
|
||||
rct::key z = rct::hash_to_scalar(y);
|
||||
|
||||
// Polynomial construction before PAPER LINE 46
|
||||
rct::key t0 = rct::zero();
|
||||
rct::key t1 = rct::zero();
|
||||
rct::key t2 = rct::zero();
|
||||
|
||||
const auto yN = vector_powers(y, N);
|
||||
|
||||
rct::key ip1y = inner_product(oneN, yN);
|
||||
rct::key tmp;
|
||||
sc_muladd(t0.bytes, z.bytes, ip1y.bytes, t0.bytes);
|
||||
|
||||
rct::key zsq;
|
||||
sc_mul(zsq.bytes, z.bytes, z.bytes);
|
||||
sc_muladd(t0.bytes, zsq.bytes, sv.bytes, t0.bytes);
|
||||
|
||||
rct::key k = rct::zero();
|
||||
sc_mulsub(k.bytes, zsq.bytes, ip1y.bytes, k.bytes);
|
||||
|
||||
rct::key zcu;
|
||||
sc_mul(zcu.bytes, zsq.bytes, z.bytes);
|
||||
sc_mulsub(k.bytes, zcu.bytes, ip12.bytes, k.bytes);
|
||||
sc_add(t0.bytes, t0.bytes, k.bytes);
|
||||
|
||||
// DEBUG: Test the value of t0 has the correct form
|
||||
#ifdef DEBUG_BP
|
||||
rct::key test_t0 = rct::zero();
|
||||
rct::key iph = inner_product(aL, hadamard(aR, yN));
|
||||
sc_add(test_t0.bytes, test_t0.bytes, iph.bytes);
|
||||
rct::key ips = inner_product(vector_subtract(aL, aR), yN);
|
||||
sc_muladd(test_t0.bytes, z.bytes, ips.bytes, test_t0.bytes);
|
||||
rct::key ipt = inner_product(twoN, aL);
|
||||
sc_muladd(test_t0.bytes, zsq.bytes, ipt.bytes, test_t0.bytes);
|
||||
sc_add(test_t0.bytes, test_t0.bytes, k.bytes);
|
||||
CHECK_AND_ASSERT_THROW_MES(t0 == test_t0, "t0 check failed");
|
||||
#endif
|
||||
PERF_TIMER_STOP(PROVE_step1);
|
||||
|
||||
PERF_TIMER_START_BP(PROVE_step2);
|
||||
const auto HyNsR = hadamard(yN, sR);
|
||||
const auto vpIz = vector_scalar(oneN, z);
|
||||
const auto vp2zsq = vector_scalar(twoN, zsq);
|
||||
const auto aL_vpIz = vector_subtract(aL, vpIz);
|
||||
const auto aR_vpIz = vector_add(aR, vpIz);
|
||||
|
||||
rct::key ip1 = inner_product(aL_vpIz, HyNsR);
|
||||
sc_add(t1.bytes, t1.bytes, ip1.bytes);
|
||||
|
||||
rct::key ip2 = inner_product(sL, vector_add(hadamard(yN, aR_vpIz), vp2zsq));
|
||||
sc_add(t1.bytes, t1.bytes, ip2.bytes);
|
||||
|
||||
rct::key ip3 = inner_product(sL, HyNsR);
|
||||
sc_add(t2.bytes, t2.bytes, ip3.bytes);
|
||||
|
||||
// PAPER LINES 47-48
|
||||
rct::key tau1 = rct::skGen(), tau2 = rct::skGen();
|
||||
|
||||
rct::key T1 = rct::addKeys(rct::scalarmultBase(t1), rct::scalarmultKey(rct::H, tau1));
|
||||
rct::key T2 = rct::addKeys(rct::scalarmultBase(t2), rct::scalarmultKey(rct::H, tau2));
|
||||
|
||||
// PAPER LINES 49-51
|
||||
hashed.clear();
|
||||
hashed.push_back(z);
|
||||
hashed.push_back(T1);
|
||||
hashed.push_back(T2);
|
||||
rct::key x = rct::hash_to_scalar(hashed);
|
||||
|
||||
// PAPER LINES 52-53
|
||||
rct::key taux = rct::zero();
|
||||
sc_mul(taux.bytes, tau1.bytes, x.bytes);
|
||||
rct::key xsq;
|
||||
sc_mul(xsq.bytes, x.bytes, x.bytes);
|
||||
sc_muladd(taux.bytes, tau2.bytes, xsq.bytes, taux.bytes);
|
||||
sc_muladd(taux.bytes, gamma.bytes, zsq.bytes, taux.bytes);
|
||||
rct::key mu;
|
||||
sc_muladd(mu.bytes, x.bytes, rho.bytes, alpha.bytes);
|
||||
|
||||
// PAPER LINES 54-57
|
||||
rct::keyV l = vector_add(aL_vpIz, vector_scalar(sL, x));
|
||||
rct::keyV r = vector_add(hadamard(yN, vector_add(aR_vpIz, vector_scalar(sR, x))), vp2zsq);
|
||||
PERF_TIMER_STOP(PROVE_step2);
|
||||
|
||||
PERF_TIMER_START_BP(PROVE_step3);
|
||||
rct::key t = inner_product(l, r);
|
||||
|
||||
// DEBUG: Test if the l and r vectors match the polynomial forms
|
||||
#ifdef DEBUG_BP
|
||||
rct::key test_t;
|
||||
sc_muladd(test_t.bytes, t1.bytes, x.bytes, t0.bytes);
|
||||
sc_muladd(test_t.bytes, t2.bytes, xsq.bytes, test_t.bytes);
|
||||
CHECK_AND_ASSERT_THROW_MES(test_t == t, "test_t check failed");
|
||||
#endif
|
||||
|
||||
// PAPER LINES 32-33
|
||||
hashed.clear();
|
||||
hashed.push_back(x);
|
||||
hashed.push_back(taux);
|
||||
hashed.push_back(mu);
|
||||
hashed.push_back(t);
|
||||
rct::key x_ip = rct::hash_to_scalar(hashed);
|
||||
|
||||
// These are used in the inner product rounds
|
||||
size_t nprime = N;
|
||||
rct::keyV Gprime(N);
|
||||
rct::keyV Hprime(N);
|
||||
rct::keyV aprime(N);
|
||||
rct::keyV bprime(N);
|
||||
const rct::key yinv = invert(y);
|
||||
rct::key yinvpow = rct::identity();
|
||||
for (size_t i = 0; i < N; ++i)
|
||||
{
|
||||
Gprime[i] = Gi[i];
|
||||
Hprime[i] = scalarmultKey(Hi[i], yinvpow);
|
||||
sc_mul(yinvpow.bytes, yinvpow.bytes, yinv.bytes);
|
||||
aprime[i] = l[i];
|
||||
bprime[i] = r[i];
|
||||
}
|
||||
rct::keyV L(logN);
|
||||
rct::keyV R(logN);
|
||||
int round = 0;
|
||||
rct::keyV w(logN); // this is the challenge x in the inner product protocol
|
||||
PERF_TIMER_STOP(PROVE_step3);
|
||||
|
||||
PERF_TIMER_START_BP(PROVE_step4);
|
||||
// PAPER LINE 13
|
||||
while (nprime > 1)
|
||||
{
|
||||
// PAPER LINE 15
|
||||
nprime /= 2;
|
||||
|
||||
// PAPER LINES 16-17
|
||||
rct::key cL = inner_product(slice(aprime, 0, nprime), slice(bprime, nprime, bprime.size()));
|
||||
rct::key cR = inner_product(slice(aprime, nprime, aprime.size()), slice(bprime, 0, nprime));
|
||||
|
||||
// PAPER LINES 18-19
|
||||
L[round] = vector_exponent_custom(slice(Gprime, nprime, Gprime.size()), slice(Hprime, 0, nprime), slice(aprime, 0, nprime), slice(bprime, nprime, bprime.size()));
|
||||
sc_mul(tmp.bytes, cL.bytes, x_ip.bytes);
|
||||
rct::addKeys(L[round], L[round], rct::scalarmultBase(tmp));
|
||||
R[round] = vector_exponent_custom(slice(Gprime, 0, nprime), slice(Hprime, nprime, Hprime.size()), slice(aprime, nprime, aprime.size()), slice(bprime, 0, nprime));
|
||||
sc_mul(tmp.bytes, cR.bytes, x_ip.bytes);
|
||||
rct::addKeys(R[round], R[round], rct::scalarmultBase(tmp));
|
||||
|
||||
// PAPER LINES 21-22
|
||||
hashed.clear();
|
||||
if (round == 0)
|
||||
{
|
||||
hashed.push_back(L[0]);
|
||||
hashed.push_back(R[0]);
|
||||
w[0] = rct::hash_to_scalar(hashed);
|
||||
}
|
||||
else
|
||||
{
|
||||
hashed.push_back(w[round - 1]);
|
||||
hashed.push_back(L[round]);
|
||||
hashed.push_back(R[round]);
|
||||
w[round] = rct::hash_to_scalar(hashed);
|
||||
}
|
||||
|
||||
// PAPER LINES 24-25
|
||||
const rct::key winv = invert(w[round]);
|
||||
Gprime = hadamard2(vector_scalar2(slice(Gprime, 0, nprime), winv), vector_scalar2(slice(Gprime, nprime, Gprime.size()), w[round]));
|
||||
Hprime = hadamard2(vector_scalar2(slice(Hprime, 0, nprime), w[round]), vector_scalar2(slice(Hprime, nprime, Hprime.size()), winv));
|
||||
|
||||
// PAPER LINES 28-29
|
||||
aprime = vector_add(vector_scalar(slice(aprime, 0, nprime), w[round]), vector_scalar(slice(aprime, nprime, aprime.size()), winv));
|
||||
bprime = vector_add(vector_scalar(slice(bprime, 0, nprime), winv), vector_scalar(slice(bprime, nprime, bprime.size()), w[round]));
|
||||
|
||||
++round;
|
||||
}
|
||||
PERF_TIMER_STOP(PROVE_step4);
|
||||
|
||||
// PAPER LINE 58 (with inclusions from PAPER LINE 8 and PAPER LINE 20)
|
||||
return Bulletproof(V, A, S, T1, T2, taux, mu, L, R, aprime[0], bprime[0], t);
|
||||
}
|
||||
|
||||
Bulletproof bulletproof_PROVE(uint64_t v, const rct::key &gamma)
|
||||
{
|
||||
// vG + gammaH
|
||||
PERF_TIMER_START_BP(PROVE_v);
|
||||
rct::key sv = rct::zero();
|
||||
sv.bytes[0] = v & 255;
|
||||
sv.bytes[1] = (v >> 8) & 255;
|
||||
sv.bytes[2] = (v >> 16) & 255;
|
||||
sv.bytes[3] = (v >> 24) & 255;
|
||||
sv.bytes[4] = (v >> 32) & 255;
|
||||
sv.bytes[5] = (v >> 40) & 255;
|
||||
sv.bytes[6] = (v >> 48) & 255;
|
||||
sv.bytes[7] = (v >> 56) & 255;
|
||||
PERF_TIMER_STOP(PROVE_v);
|
||||
return bulletproof_PROVE(sv, gamma);
|
||||
}
|
||||
|
||||
/* Given a range proof, determine if it is valid */
|
||||
bool bulletproof_VERIFY(const Bulletproof &proof)
|
||||
{
|
||||
init_exponents();
|
||||
|
||||
CHECK_AND_ASSERT_MES(proof.L.size() == proof.R.size(), false, "Mismatched L and R sizes");
|
||||
CHECK_AND_ASSERT_MES(proof.L.size() > 0, false, "Empty proof");
|
||||
CHECK_AND_ASSERT_MES(proof.L.size() == 6, false, "Proof is not for 64 bits");
|
||||
|
||||
const size_t logN = proof.L.size();
|
||||
const size_t N = 1 << logN;
|
||||
|
||||
// Reconstruct the challenges
|
||||
PERF_TIMER_START_BP(VERIFY);
|
||||
PERF_TIMER_START_BP(VERIFY_start);
|
||||
rct::keyV hashed;
|
||||
hashed.push_back(proof.A);
|
||||
hashed.push_back(proof.S);
|
||||
rct::key y = rct::hash_to_scalar(hashed);
|
||||
rct::key z = rct::hash_to_scalar(y);
|
||||
hashed.clear();
|
||||
hashed.push_back(z);
|
||||
hashed.push_back(proof.T1);
|
||||
hashed.push_back(proof.T2);
|
||||
rct::key x = rct::hash_to_scalar(hashed);
|
||||
PERF_TIMER_STOP(VERIFY_start);
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_60);
|
||||
// Reconstruct the challenges
|
||||
hashed.clear();
|
||||
hashed.push_back(x);
|
||||
hashed.push_back(proof.taux);
|
||||
hashed.push_back(proof.mu);
|
||||
hashed.push_back(proof.t);
|
||||
rct::key x_ip = hash_to_scalar(hashed);
|
||||
PERF_TIMER_STOP(VERIFY_line_60);
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_61);
|
||||
// PAPER LINE 61
|
||||
rct::key L61Left = rct::addKeys(rct::scalarmultKey(rct::H, proof.taux), rct::scalarmultBase(proof.t));
|
||||
|
||||
rct::key k = rct::zero();
|
||||
const auto yN = vector_powers(y, N);
|
||||
rct::key ip1y = inner_product(oneN, yN);
|
||||
rct::key zsq;
|
||||
sc_mul(zsq.bytes, z.bytes, z.bytes);
|
||||
rct::key tmp, tmp2;
|
||||
sc_mulsub(k.bytes, zsq.bytes, ip1y.bytes, k.bytes);
|
||||
rct::key zcu;
|
||||
sc_mul(zcu.bytes, zsq.bytes, z.bytes);
|
||||
sc_mulsub(k.bytes, zcu.bytes, ip12.bytes, k.bytes);
|
||||
PERF_TIMER_STOP(VERIFY_line_61);
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_61rl);
|
||||
sc_muladd(tmp.bytes, z.bytes, ip1y.bytes, k.bytes);
|
||||
rct::key L61Right = rct::scalarmultBase(tmp);
|
||||
|
||||
tmp = rct::scalarmultKey(proof.V, zsq);
|
||||
rct::addKeys(L61Right, L61Right, tmp);
|
||||
|
||||
tmp = rct::scalarmultKey(proof.T1, x);
|
||||
rct::addKeys(L61Right, L61Right, tmp);
|
||||
|
||||
rct::key xsq;
|
||||
sc_mul(xsq.bytes, x.bytes, x.bytes);
|
||||
tmp = rct::scalarmultKey(proof.T2, xsq);
|
||||
rct::addKeys(L61Right, L61Right, tmp);
|
||||
PERF_TIMER_STOP(VERIFY_line_61rl);
|
||||
|
||||
if (!(L61Right == L61Left))
|
||||
{
|
||||
MERROR("Verification failure at step 1");
|
||||
return false;
|
||||
}
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_62);
|
||||
// PAPER LINE 62
|
||||
rct::key P = rct::addKeys(proof.A, rct::scalarmultKey(proof.S, x));
|
||||
PERF_TIMER_STOP(VERIFY_line_62);
|
||||
|
||||
// Compute the number of rounds for the inner product
|
||||
const size_t rounds = proof.L.size();
|
||||
CHECK_AND_ASSERT_MES(rounds > 0, false, "Zero rounds");
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_21_22);
|
||||
// PAPER LINES 21-22
|
||||
// The inner product challenges are computed per round
|
||||
rct::keyV w(rounds);
|
||||
hashed.clear();
|
||||
hashed.push_back(proof.L[0]);
|
||||
hashed.push_back(proof.R[0]);
|
||||
w[0] = rct::hash_to_scalar(hashed);
|
||||
for (size_t i = 1; i < rounds; ++i)
|
||||
{
|
||||
hashed.clear();
|
||||
hashed.push_back(w[i-1]);
|
||||
hashed.push_back(proof.L[i]);
|
||||
hashed.push_back(proof.R[i]);
|
||||
w[i] = rct::hash_to_scalar(hashed);
|
||||
}
|
||||
PERF_TIMER_STOP(VERIFY_line_21_22);
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_24_25);
|
||||
// Basically PAPER LINES 24-25
|
||||
// Compute the curvepoints from G[i] and H[i]
|
||||
rct::key inner_prod = rct::identity();
|
||||
rct::key yinvpow = rct::identity();
|
||||
rct::key ypow = rct::identity();
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_24_25_invert);
|
||||
const rct::key yinv = invert(y);
|
||||
rct::keyV winv(rounds);
|
||||
for (size_t i = 0; i < rounds; ++i)
|
||||
winv[i] = invert(w[i]);
|
||||
PERF_TIMER_STOP(VERIFY_line_24_25_invert);
|
||||
|
||||
for (size_t i = 0; i < N; ++i)
|
||||
{
|
||||
// Convert the index to binary IN REVERSE and construct the scalar exponent
|
||||
rct::key g_scalar = proof.a;
|
||||
rct::key h_scalar;
|
||||
sc_mul(h_scalar.bytes, proof.b.bytes, yinvpow.bytes);
|
||||
|
||||
for (size_t j = rounds; j-- > 0; )
|
||||
{
|
||||
size_t J = w.size() - j - 1;
|
||||
|
||||
if ((i & (((size_t)1)<<j)) == 0)
|
||||
{
|
||||
sc_mul(g_scalar.bytes, g_scalar.bytes, winv[J].bytes);
|
||||
sc_mul(h_scalar.bytes, h_scalar.bytes, w[J].bytes);
|
||||
}
|
||||
else
|
||||
{
|
||||
sc_mul(g_scalar.bytes, g_scalar.bytes, w[J].bytes);
|
||||
sc_mul(h_scalar.bytes, h_scalar.bytes, winv[J].bytes);
|
||||
}
|
||||
}
|
||||
|
||||
// Adjust the scalars using the exponents from PAPER LINE 62
|
||||
sc_add(g_scalar.bytes, g_scalar.bytes, z.bytes);
|
||||
sc_mul(tmp.bytes, zsq.bytes, twoN[i].bytes);
|
||||
sc_muladd(tmp.bytes, z.bytes, ypow.bytes, tmp.bytes);
|
||||
sc_mulsub(h_scalar.bytes, tmp.bytes, yinvpow.bytes, h_scalar.bytes);
|
||||
|
||||
// Now compute the basepoint's scalar multiplication
|
||||
// Each of these could be written as a multiexp operation instead
|
||||
rct::addKeys3(tmp, g_scalar, Gprecomp[i], h_scalar, Hprecomp[i]);
|
||||
rct::addKeys(inner_prod, inner_prod, tmp);
|
||||
|
||||
if (i != N-1)
|
||||
{
|
||||
sc_mul(yinvpow.bytes, yinvpow.bytes, yinv.bytes);
|
||||
sc_mul(ypow.bytes, ypow.bytes, y.bytes);
|
||||
}
|
||||
}
|
||||
PERF_TIMER_STOP(VERIFY_line_24_25);
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_line_26);
|
||||
// PAPER LINE 26
|
||||
rct::key pprime;
|
||||
sc_sub(tmp.bytes, rct::zero().bytes, proof.mu.bytes);
|
||||
rct::addKeys(pprime, P, rct::scalarmultKey(rct::H, tmp));
|
||||
|
||||
for (size_t i = 0; i < rounds; ++i)
|
||||
{
|
||||
sc_mul(tmp.bytes, w[i].bytes, w[i].bytes);
|
||||
sc_mul(tmp2.bytes, winv[i].bytes, winv[i].bytes);
|
||||
#if 1
|
||||
ge_dsmp cacheL, cacheR;
|
||||
rct::precomp(cacheL, proof.L[i]);
|
||||
rct::precomp(cacheR, proof.R[i]);
|
||||
rct::addKeys3(tmp, tmp, cacheL, tmp2, cacheR);
|
||||
rct::addKeys(pprime, pprime, tmp);
|
||||
#else
|
||||
rct::addKeys(pprime, pprime, rct::scalarmultKey(proof.L[i], tmp));
|
||||
rct::addKeys(pprime, pprime, rct::scalarmultKey(proof.R[i], tmp2));
|
||||
#endif
|
||||
}
|
||||
sc_mul(tmp.bytes, proof.t.bytes, x_ip.bytes);
|
||||
rct::addKeys(pprime, pprime, rct::scalarmultBase(tmp));
|
||||
PERF_TIMER_STOP(VERIFY_line_26);
|
||||
|
||||
PERF_TIMER_START_BP(VERIFY_step2_check);
|
||||
sc_mul(tmp.bytes, proof.a.bytes, proof.b.bytes);
|
||||
sc_mul(tmp.bytes, tmp.bytes, x_ip.bytes);
|
||||
tmp = rct::scalarmultBase(tmp);
|
||||
rct::addKeys(tmp, tmp, inner_prod);
|
||||
PERF_TIMER_STOP(VERIFY_step2_check);
|
||||
if (!(pprime == tmp))
|
||||
{
|
||||
MERROR("Verification failure at step 2");
|
||||
return false;
|
||||
}
|
||||
|
||||
PERF_TIMER_STOP(VERIFY);
|
||||
return true;
|
||||
}
|
||||
|
||||
}
|
78
src/ringct/bulletproofs.h
Normal file
78
src/ringct/bulletproofs.h
Normal file
|
@ -0,0 +1,78 @@
|
|||
// 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.
|
||||
//
|
||||
// Adapted from Java code by Sarang Noether
|
||||
|
||||
#pragma once
|
||||
|
||||
#ifndef BULLETPROOFS_H
|
||||
#define BULLETPROOFS_H
|
||||
|
||||
#include "serialization/serialization.h"
|
||||
#include "ringct/rctOps.h"
|
||||
|
||||
namespace rct
|
||||
{
|
||||
|
||||
struct Bulletproof
|
||||
{
|
||||
rct::key V, A, S, T1, T2;
|
||||
rct::key taux, mu;
|
||||
rct::keyV L, R;
|
||||
rct::key a, b, t;
|
||||
|
||||
Bulletproof() {}
|
||||
Bulletproof(const rct::key &V, const rct::key &A, const rct::key &S, const rct::key &T1, const rct::key &T2, const rct::key &taux, const rct::key &mu, const rct::keyV &L, const rct::keyV &R, const rct::key &a, const rct::key &b, const rct::key &t):
|
||||
V(V), A(A), S(S), T1(T1), T2(T2), taux(taux), mu(mu), L(L), R(R), a(a), b(b), t(t) {}
|
||||
|
||||
BEGIN_SERIALIZE_OBJECT()
|
||||
FIELD(V)
|
||||
FIELD(A)
|
||||
FIELD(S)
|
||||
FIELD(T1)
|
||||
FIELD(T2)
|
||||
FIELD(taux)
|
||||
FIELD(mu)
|
||||
FIELD(L)
|
||||
FIELD(R)
|
||||
FIELD(a)
|
||||
FIELD(b)
|
||||
FIELD(t)
|
||||
|
||||
if (L.empty() || L.size() != R.size())
|
||||
return false;
|
||||
END_SERIALIZE()
|
||||
};
|
||||
|
||||
Bulletproof bulletproof_PROVE(const rct::key &v, const rct::key &gamma);
|
||||
Bulletproof bulletproof_PROVE(uint64_t v, const rct::key &gamma);
|
||||
bool bulletproof_VERIFY(const Bulletproof &proof);
|
||||
|
||||
}
|
||||
|
||||
#endif
|
|
@ -34,6 +34,7 @@ set(unit_tests_sources
|
|||
blockchain_db.cpp
|
||||
block_queue.cpp
|
||||
block_reward.cpp
|
||||
bulletproofs.cpp
|
||||
canonical_amounts.cpp
|
||||
chacha8.cpp
|
||||
checkpoints.cpp
|
||||
|
|
70
tests/unit_tests/bulletproofs.cpp
Normal file
70
tests/unit_tests/bulletproofs.cpp
Normal file
|
@ -0,0 +1,70 @@
|
|||
// 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.
|
||||
//
|
||||
// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers
|
||||
|
||||
#include "gtest/gtest.h"
|
||||
|
||||
#include "ringct/bulletproofs.h"
|
||||
|
||||
TEST(bulletproofs, valid_zero)
|
||||
{
|
||||
rct::Bulletproof proof = bulletproof_PROVE(0, rct::skGen());
|
||||
ASSERT_TRUE(rct::bulletproof_VERIFY(proof));
|
||||
}
|
||||
|
||||
TEST(bulletproofs, valid_max)
|
||||
{
|
||||
rct::Bulletproof proof = bulletproof_PROVE(0xffffffffffffffff, rct::skGen());
|
||||
ASSERT_TRUE(rct::bulletproof_VERIFY(proof));
|
||||
}
|
||||
|
||||
TEST(bulletproofs, valid_random)
|
||||
{
|
||||
for (int n = 0; n < 8; ++n)
|
||||
{
|
||||
rct::Bulletproof proof = bulletproof_PROVE(crypto::rand<uint64_t>(), rct::skGen());
|
||||
ASSERT_TRUE(rct::bulletproof_VERIFY(proof));
|
||||
}
|
||||
}
|
||||
|
||||
TEST(bulletproofs, invalid_8)
|
||||
{
|
||||
rct::key invalid_amount = rct::zero();
|
||||
invalid_amount[8] = 1;
|
||||
rct::Bulletproof proof = bulletproof_PROVE(invalid_amount, rct::skGen());
|
||||
ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
|
||||
}
|
||||
|
||||
TEST(bulletproofs, invalid_31)
|
||||
{
|
||||
rct::key invalid_amount = rct::zero();
|
||||
invalid_amount[31] = 1;
|
||||
rct::Bulletproof proof = bulletproof_PROVE(invalid_amount, rct::skGen());
|
||||
ASSERT_FALSE(rct::bulletproof_VERIFY(proof));
|
||||
}
|
Loading…
Reference in a new issue