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Updated paper references
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Sarang Noether
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@ -27,6 +27,7 @@
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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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// Adapted from Java code by Sarang Noether
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// Paper references are to https://eprint.iacr.org/2017/1066 (revision 1 July 2018)
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#include <stdlib.h>
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#include <boost/thread/mutex.hpp>
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@ -521,6 +522,7 @@ Bulletproof bulletproof_PROVE(const rct::keyV &sv, const rct::keyV &gamma)
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}
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PERF_TIMER_STOP_BP(PROVE_v);
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// PAPER LINES 41-42
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PERF_TIMER_START_BP(PROVE_aLaR);
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for (size_t j = 0; j < M; ++j)
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{
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@ -566,14 +568,14 @@ try_again:
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rct::key hash_cache = rct::hash_to_scalar(V);
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PERF_TIMER_START_BP(PROVE_step1);
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// PAPER LINES 38-39
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// PAPER LINES 43-44
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rct::key alpha = rct::skGen();
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rct::key ve = vector_exponent(aL8, aR8);
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rct::key A;
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sc_mul(tmp.bytes, alpha.bytes, INV_EIGHT.bytes);
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rct::addKeys(A, ve, rct::scalarmultBase(tmp));
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// PAPER LINES 40-42
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// PAPER LINES 45-47
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rct::keyV sL = rct::skvGen(MN), sR = rct::skvGen(MN);
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rct::key rho = rct::skGen();
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ve = vector_exponent(sL, sR);
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@ -581,7 +583,7 @@ try_again:
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rct::addKeys(S, ve, rct::scalarmultBase(rho));
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S = rct::scalarmultKey(S, INV_EIGHT);
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// PAPER LINES 43-45
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// PAPER LINES 48-50
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rct::key y = hash_cache_mash(hash_cache, A, S);
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if (y == rct::zero())
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{
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@ -598,6 +600,7 @@ try_again:
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}
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// Polynomial construction by coefficients
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// PAPER LINES 70-71
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rct::keyV l0 = vector_subtract(aL, z);
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const rct::keyV &l1 = sL;
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@ -619,7 +622,7 @@ try_again:
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r0 = vector_add(r0, zero_twos);
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rct::keyV r1 = hadamard(yMN, sR);
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// Polynomial construction before PAPER LINE 46
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// Polynomial construction before PAPER LINE 51
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rct::key t1_1 = inner_product(l0, r1);
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rct::key t1_2 = inner_product(l1, r0);
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rct::key t1;
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@ -629,7 +632,7 @@ try_again:
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PERF_TIMER_STOP_BP(PROVE_step1);
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PERF_TIMER_START_BP(PROVE_step2);
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// PAPER LINES 47-48
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// PAPER LINES 52-53
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rct::key tau1 = rct::skGen(), tau2 = rct::skGen();
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rct::key T1, T2;
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@ -643,7 +646,7 @@ try_again:
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ge_double_scalarmult_base_vartime_p3(&p3, tmp.bytes, &ge_p3_H, tmp2.bytes);
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ge_p3_tobytes(T2.bytes, &p3);
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// PAPER LINES 49-51
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// PAPER LINES 54-56
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rct::key x = hash_cache_mash(hash_cache, z, T1, T2);
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if (x == rct::zero())
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{
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@ -652,7 +655,7 @@ try_again:
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goto try_again;
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}
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// PAPER LINES 52-53
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// PAPER LINES 61-63
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rct::key taux;
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sc_mul(taux.bytes, tau1.bytes, x.bytes);
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rct::key xsq;
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@ -666,7 +669,7 @@ try_again:
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rct::key mu;
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sc_muladd(mu.bytes, x.bytes, rho.bytes, alpha.bytes);
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// PAPER LINES 54-57
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// PAPER LINES 58-60
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rct::keyV l = l0;
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l = vector_add(l, vector_scalar(l1, x));
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rct::keyV r = r0;
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@ -685,7 +688,7 @@ try_again:
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CHECK_AND_ASSERT_THROW_MES(test_t == t, "test_t check failed");
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#endif
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// PAPER LINES 32-33
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// PAPER LINE 6
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rct::key x_ip = hash_cache_mash(hash_cache, x, taux, mu, t);
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if (x_ip == rct::zero())
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{
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@ -720,20 +723,19 @@ try_again:
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PERF_TIMER_STOP_BP(PROVE_step3);
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PERF_TIMER_START_BP(PROVE_step4);
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// PAPER LINE 13
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const rct::keyV *scale = &yinvpow;
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while (nprime > 1)
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{
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// PAPER LINE 15
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// PAPER LINE 20
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nprime /= 2;
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// PAPER LINES 16-17
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// PAPER LINES 21-22
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PERF_TIMER_START_BP(PROVE_inner_product);
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rct::key cL = inner_product(slice(aprime, 0, nprime), slice(bprime, nprime, bprime.size()));
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rct::key cR = inner_product(slice(aprime, nprime, aprime.size()), slice(bprime, 0, nprime));
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PERF_TIMER_STOP_BP(PROVE_inner_product);
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// PAPER LINES 18-19
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// PAPER LINES 23-24
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PERF_TIMER_START_BP(PROVE_LR);
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sc_mul(tmp.bytes, cL.bytes, x_ip.bytes);
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L[round] = cross_vector_exponent8(nprime, Gprime, nprime, Hprime, 0, aprime, 0, bprime, nprime, scale, &ge_p3_H, &tmp);
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@ -741,7 +743,7 @@ try_again:
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R[round] = cross_vector_exponent8(nprime, Gprime, 0, Hprime, nprime, aprime, nprime, bprime, 0, scale, &ge_p3_H, &tmp);
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PERF_TIMER_STOP_BP(PROVE_LR);
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// PAPER LINES 21-22
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// PAPER LINES 25-27
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w[round] = hash_cache_mash(hash_cache, L[round], R[round]);
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if (w[round] == rct::zero())
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{
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@ -750,7 +752,7 @@ try_again:
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goto try_again;
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}
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// PAPER LINES 24-25
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// PAPER LINES 29-30
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const rct::key winv = invert(w[round]);
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if (nprime > 1)
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{
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@ -760,7 +762,7 @@ try_again:
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PERF_TIMER_STOP_BP(PROVE_hadamard2);
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}
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// PAPER LINES 28-29
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// PAPER LINES 33-34
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PERF_TIMER_START_BP(PROVE_prime);
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aprime = vector_add(vector_scalar(slice(aprime, 0, nprime), w[round]), vector_scalar(slice(aprime, nprime, aprime.size()), winv));
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bprime = vector_add(vector_scalar(slice(bprime, 0, nprime), winv), vector_scalar(slice(bprime, nprime, bprime.size()), w[round]));
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@ -771,7 +773,6 @@ try_again:
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}
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PERF_TIMER_STOP_BP(PROVE_step4);
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// PAPER LINE 58 (with inclusions from PAPER LINE 8 and PAPER LINE 20)
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return Bulletproof(std::move(V), A, S, T1, T2, taux, mu, std::move(L), std::move(R), aprime[0], bprime[0], t);
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}
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@ -805,7 +806,10 @@ struct proof_data_t
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size_t logM, inv_offset;
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};
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/* Given a range proof, determine if it is valid */
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/* Given a range proof, determine if it is valid
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* This uses the method in PAPER LINES 95-105,
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* weighted across multiple proofs in a batch
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*/
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bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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{
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init_exponents();
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@ -866,7 +870,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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CHECK_AND_ASSERT_MES(rounds > 0, false, "Zero rounds");
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PERF_TIMER_START_BP(VERIFY_line_21_22);
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// PAPER LINES 21-22
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// The inner product challenges are computed per round
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pd.w.resize(rounds);
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for (size_t i = 0; i < rounds; ++i)
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@ -924,7 +927,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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rct::key proof8_A = rct::scalarmult8(proof.A);
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PERF_TIMER_START_BP(VERIFY_line_61);
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// PAPER LINE 61
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sc_mulsub(m_y0.bytes, proof.taux.bytes, weight_y.bytes, m_y0.bytes);
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const rct::keyV zpow = vector_powers(pd.z, M+3);
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@ -957,7 +959,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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PERF_TIMER_STOP_BP(VERIFY_line_61rl_new);
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PERF_TIMER_START_BP(VERIFY_line_62);
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// PAPER LINE 62
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multiexp_data.emplace_back(weight_z, proof8_A);
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sc_mul(tmp.bytes, pd.x.bytes, weight_z.bytes);
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multiexp_data.emplace_back(tmp, proof8_S);
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@ -968,7 +969,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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CHECK_AND_ASSERT_MES(rounds > 0, false, "Zero rounds");
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PERF_TIMER_START_BP(VERIFY_line_24_25);
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// Basically PAPER LINES 24-25
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// Compute the curvepoints from G[i] and H[i]
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rct::key yinvpow = rct::identity();
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rct::key ypow = rct::identity();
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@ -1005,7 +1005,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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sc_mul(g_scalar.bytes, g_scalar.bytes, w_cache[i].bytes);
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sc_mul(h_scalar.bytes, h_scalar.bytes, w_cache[(~i) & (MN-1)].bytes);
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// Adjust the scalars using the exponents from PAPER LINE 62
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sc_add(g_scalar.bytes, g_scalar.bytes, pd.z.bytes);
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CHECK_AND_ASSERT_MES(2+i/N < zpow.size(), false, "invalid zpow index");
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CHECK_AND_ASSERT_MES(i%N < twoN.size(), false, "invalid twoN index");
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@ -1038,7 +1037,6 @@ bool bulletproof_VERIFY(const std::vector<const Bulletproof*> &proofs)
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PERF_TIMER_STOP_BP(VERIFY_line_24_25);
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// PAPER LINE 26
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PERF_TIMER_START_BP(VERIFY_line_26_new);
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sc_muladd(z1.bytes, proof.mu.bytes, weight_z.bytes, z1.bytes);
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for (size_t i = 0; i < rounds; ++i)
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