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-rw-r--r--src/ringct/bulletproofs.cc61
1 files changed, 27 insertions, 34 deletions
diff --git a/src/ringct/bulletproofs.cc b/src/ringct/bulletproofs.cc
index ff6fee95c..80ecc5593 100644
--- a/src/ringct/bulletproofs.cc
+++ b/src/ringct/bulletproofs.cc
@@ -27,6 +27,7 @@
// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Adapted from Java code by Sarang Noether
+// Paper references are to https://eprint.iacr.org/2017/1066 (revision 1 July 2018)
#include <stdlib.h>
#include <boost/thread/mutex.hpp>
@@ -521,6 +522,7 @@ Bulletproof bulletproof_PROVE(const rct::keyV &sv, const rct::keyV &gamma)
}
PERF_TIMER_STOP_BP(PROVE_v);
+ // PAPER LINES 41-42
PERF_TIMER_START_BP(PROVE_aLaR);
for (size_t j = 0; j < M; ++j)
{
@@ -566,14 +568,14 @@ try_again:
rct::key hash_cache = rct::hash_to_scalar(V);
PERF_TIMER_START_BP(PROVE_step1);
- // PAPER LINES 38-39
+ // PAPER LINES 43-44
rct::key alpha = rct::skGen();
rct::key ve = vector_exponent(aL8, aR8);
rct::key A;
sc_mul(tmp.bytes, alpha.bytes, INV_EIGHT.bytes);
rct::addKeys(A, ve, rct::scalarmultBase(tmp));
- // PAPER LINES 40-42
+ // PAPER LINES 45-47
rct::keyV sL = rct::skvGen(MN), sR = rct::skvGen(MN);
rct::key rho = rct::skGen();
ve = vector_exponent(sL, sR);
@@ -581,7 +583,7 @@ try_again:
rct::addKeys(S, ve, rct::scalarmultBase(rho));
S = rct::scalarmultKey(S, INV_EIGHT);
- // PAPER LINES 43-45
+ // PAPER LINES 48-50
rct::key y = hash_cache_mash(hash_cache, A, S);
if (y == rct::zero())
{
@@ -598,24 +600,20 @@ try_again:
}
// Polynomial construction by coefficients
+ // PAPER LINES 70-71
rct::keyV l0 = vector_subtract(aL, z);
const rct::keyV &l1 = sL;
- // This computes the ugly sum/concatenation from PAPER LINE 65
rct::keyV zero_twos(MN);
const rct::keyV zpow = vector_powers(z, M+2);
- for (size_t i = 0; i < MN; ++i)
+ for (size_t j = 0; j < M; ++j)
{
- zero_twos[i] = rct::zero();
- for (size_t j = 1; j <= M; ++j)
- {
- if (i >= (j-1)*N && i < j*N)
+ for (size_t i = 0; i < N; ++i)
{
- CHECK_AND_ASSERT_THROW_MES(1+j < zpow.size(), "invalid zpow index");
- CHECK_AND_ASSERT_THROW_MES(i-(j-1)*N < twoN.size(), "invalid twoN index");
- sc_muladd(zero_twos[i].bytes, zpow[1+j].bytes, twoN[i-(j-1)*N].bytes, zero_twos[i].bytes);
+ CHECK_AND_ASSERT_THROW_MES(j+2 < zpow.size(), "invalid zpow index");
+ CHECK_AND_ASSERT_THROW_MES(i < twoN.size(), "invalid twoN index");
+ sc_mul(zero_twos[j*N+i].bytes,zpow[j+2].bytes,twoN[i].bytes);
}
- }
}
rct::keyV r0 = vector_add(aR, z);
@@ -624,7 +622,7 @@ try_again:
r0 = vector_add(r0, zero_twos);
rct::keyV r1 = hadamard(yMN, sR);
- // Polynomial construction before PAPER LINE 46
+ // Polynomial construction before PAPER LINE 51
rct::key t1_1 = inner_product(l0, r1);
rct::key t1_2 = inner_product(l1, r0);
rct::key t1;
@@ -634,7 +632,7 @@ try_again:
PERF_TIMER_STOP_BP(PROVE_step1);
PERF_TIMER_START_BP(PROVE_step2);
- // PAPER LINES 47-48
+ // PAPER LINES 52-53
rct::key tau1 = rct::skGen(), tau2 = rct::skGen();
rct::key T1, T2;
@@ -648,7 +646,7 @@ try_again:
ge_double_scalarmult_base_vartime_p3(&p3, tmp.bytes, &ge_p3_H, tmp2.bytes);
ge_p3_tobytes(T2.bytes, &p3);
- // PAPER LINES 49-51
+ // PAPER LINES 54-56
rct::key x = hash_cache_mash(hash_cache, z, T1, T2);
if (x == rct::zero())
{
@@ -657,7 +655,7 @@ try_again:
goto try_again;
}
- // PAPER LINES 52-53
+ // PAPER LINES 61-63
rct::key taux;
sc_mul(taux.bytes, tau1.bytes, x.bytes);
rct::key xsq;
@@ -671,7 +669,7 @@ try_again:
rct::key mu;
sc_muladd(mu.bytes, x.bytes, rho.bytes, alpha.bytes);
- // PAPER LINES 54-57
+ // PAPER LINES 58-60
rct::keyV l = l0;
l = vector_add(l, vector_scalar(l1, x));
rct::keyV r = r0;
@@ -690,7 +688,7 @@ try_again:
CHECK_AND_ASSERT_THROW_MES(test_t == t, "test_t check failed");
#endif
- // PAPER LINES 32-33
+ // PAPER LINE 6
rct::key x_ip = hash_cache_mash(hash_cache, x, taux, mu, t);
if (x_ip == rct::zero())
{
@@ -725,20 +723,19 @@ try_again:
PERF_TIMER_STOP_BP(PROVE_step3);
PERF_TIMER_START_BP(PROVE_step4);
- // PAPER LINE 13
const rct::keyV *scale = &yinvpow;
while (nprime > 1)
{
- // PAPER LINE 15
+ // PAPER LINE 20
nprime /= 2;
- // PAPER LINES 16-17
+ // PAPER LINES 21-22
PERF_TIMER_START_BP(PROVE_inner_product);
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));
PERF_TIMER_STOP_BP(PROVE_inner_product);
- // PAPER LINES 18-19
+ // PAPER LINES 23-24
PERF_TIMER_START_BP(PROVE_LR);
sc_mul(tmp.bytes, cL.bytes, x_ip.bytes);
L[round] = cross_vector_exponent8(nprime, Gprime, nprime, Hprime, 0, aprime, 0, bprime, nprime, scale, &ge_p3_H, &tmp);
@@ -746,7 +743,7 @@ try_again:
R[round] = cross_vector_exponent8(nprime, Gprime, 0, Hprime, nprime, aprime, nprime, bprime, 0, scale, &ge_p3_H, &tmp);
PERF_TIMER_STOP_BP(PROVE_LR);
- // PAPER LINES 21-22
+ // PAPER LINES 25-27
w[round] = hash_cache_mash(hash_cache, L[round], R[round]);
if (w[round] == rct::zero())
{
@@ -755,7 +752,7 @@ try_again:
goto try_again;
}
- // PAPER LINES 24-25
+ // PAPER LINES 29-30
const rct::key winv = invert(w[round]);
if (nprime > 1)
{
@@ -765,7 +762,7 @@ try_again:
PERF_TIMER_STOP_BP(PROVE_hadamard2);
}
- // PAPER LINES 28-29
+ // PAPER LINES 33-34
PERF_TIMER_START_BP(PROVE_prime);
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]));
@@ -776,7 +773,6 @@ try_again:
}
PERF_TIMER_STOP_BP(PROVE_step4);
- // PAPER LINE 58 (with inclusions from PAPER LINE 8 and PAPER LINE 20)
return Bulletproof(std::move(V), A, S, T1, T2, taux, mu, std::move(L), std::move(R), aprime[0], bprime[0], t);
}
@@ -810,7 +806,10 @@ struct proof_data_t
size_t logM, inv_offset;
};
-/* Given a range proof, determine if it is valid */
+/* Given a range proof, determine if it is valid
+ * This uses the method in PAPER LINES 95-105,
+ * weighted across multiple proofs in a batch
+ */
bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
{
init_exponents();
@@ -871,7 +870,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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
pd.w.resize(rounds);
for (size_t i = 0; i < rounds; ++i)
@@ -929,7 +927,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
rct::key proof8_A = rct::scalarmult8(proof.A);
PERF_TIMER_START_BP(VERIFY_line_61);
- // PAPER LINE 61
sc_mulsub(m_y0.bytes, proof.taux.bytes, weight_y.bytes, m_y0.bytes);
const rct::keyV zpow = vector_powers(pd.z, M+3);
@@ -962,7 +959,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
PERF_TIMER_STOP_BP(VERIFY_line_61rl_new);
PERF_TIMER_START_BP(VERIFY_line_62);
- // PAPER LINE 62
multiexp_data.emplace_back(weight_z, proof8_A);
sc_mul(tmp.bytes, pd.x.bytes, weight_z.bytes);
multiexp_data.emplace_back(tmp, proof8_S);
@@ -973,7 +969,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
CHECK_AND_ASSERT_MES(rounds > 0, false, "Zero rounds");
PERF_TIMER_START_BP(VERIFY_line_24_25);
- // Basically PAPER LINES 24-25
// Compute the curvepoints from G[i] and H[i]
rct::key yinvpow = rct::identity();
rct::key ypow = rct::identity();
@@ -1010,7 +1005,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
sc_mul(g_scalar.bytes, g_scalar.bytes, w_cache[i].bytes);
sc_mul(h_scalar.bytes, h_scalar.bytes, w_cache[(~i) & (MN-1)].bytes);
- // Adjust the scalars using the exponents from PAPER LINE 62
sc_add(g_scalar.bytes, g_scalar.bytes, pd.z.bytes);
CHECK_AND_ASSERT_MES(2+i/N < zpow.size(), false, "invalid zpow index");
CHECK_AND_ASSERT_MES(i%N < twoN.size(), false, "invalid twoN index");
@@ -1043,7 +1037,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
PERF_TIMER_STOP_BP(VERIFY_line_24_25);
- // PAPER LINE 26
PERF_TIMER_START_BP(VERIFY_line_26_new);
sc_muladd(z1.bytes, proof.mu.bytes, weight_z.bytes, z1.bytes);
for (size_t i = 0; i < rounds; ++i)