bulletproofs: speedup prover
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@ -146,13 +146,14 @@ static rct::key vector_exponent(const rct::keyV &a, const rct::keyV &b)
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}
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/* Compute a custom vector-scalar commitment */
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static rct::key cross_vector_exponent8(size_t size, const std::vector<ge_p3> &A, size_t Ao, const std::vector<ge_p3> &B, size_t Bo, const rct::keyV &a, size_t ao, const rct::keyV &b, size_t bo, const ge_p3 *extra_point, const rct::key *extra_scalar)
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static rct::key cross_vector_exponent8(size_t size, const std::vector<ge_p3> &A, size_t Ao, const std::vector<ge_p3> &B, size_t Bo, const rct::keyV &a, size_t ao, const rct::keyV &b, size_t bo, const rct::keyV *scale, const ge_p3 *extra_point, const rct::key *extra_scalar)
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{
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CHECK_AND_ASSERT_THROW_MES(size + Ao <= A.size(), "Incompatible size for A");
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CHECK_AND_ASSERT_THROW_MES(size + Bo <= B.size(), "Incompatible size for B");
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CHECK_AND_ASSERT_THROW_MES(size + ao <= a.size(), "Incompatible size for a");
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CHECK_AND_ASSERT_THROW_MES(size + bo <= b.size(), "Incompatible size for b");
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CHECK_AND_ASSERT_THROW_MES(size <= maxN*maxM, "size is too large");
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CHECK_AND_ASSERT_THROW_MES(!scale || size == scale->size() / 2, "Incompatible size for scale");
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CHECK_AND_ASSERT_THROW_MES(!!extra_point == !!extra_scalar, "only one of extra point/scalar present");
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std::vector<MultiexpData> multiexp_data;
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@ -162,6 +163,8 @@ static rct::key cross_vector_exponent8(size_t size, const std::vector<ge_p3> &A,
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sc_mul(multiexp_data[i*2].scalar.bytes, a[ao+i].bytes, INV_EIGHT.bytes);;
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multiexp_data[i*2].point = A[Ao+i];
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sc_mul(multiexp_data[i*2+1].scalar.bytes, b[bo+i].bytes, INV_EIGHT.bytes);
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if (scale)
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sc_mul(multiexp_data[i*2+1].scalar.bytes, multiexp_data[i*2+1].scalar.bytes, (*scale)[Bo+i].bytes);
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multiexp_data[i*2+1].point = B[Bo+i];
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}
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if (extra_point)
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@ -232,7 +235,7 @@ static rct::keyV hadamard(const rct::keyV &a, const rct::keyV &b)
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}
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/* folds a curvepoint array using a two way scaled Hadamard product */
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static void hadamard_fold(std::vector<ge_p3> &v, const rct::key &a, const rct::key &b)
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static void hadamard_fold(std::vector<ge_p3> &v, const rct::keyV *scale, const rct::key &a, const rct::key &b)
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{
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CHECK_AND_ASSERT_THROW_MES((v.size() & 1) == 0, "Vector size should be even");
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const size_t sz = v.size() / 2;
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@ -241,7 +244,10 @@ static void hadamard_fold(std::vector<ge_p3> &v, const rct::key &a, const rct::k
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ge_dsmp c[2];
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ge_dsm_precomp(c[0], &v[n]);
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ge_dsm_precomp(c[1], &v[sz + n]);
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ge_double_scalarmult_precomp_vartime2_p3(&v[n], a.bytes, c[0], b.bytes, c[1]);
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rct::key sa, sb;
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if (scale) sc_mul(sa.bytes, a.bytes, (*scale)[n].bytes); else sa = a;
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if (scale) sc_mul(sb.bytes, b.bytes, (*scale)[sz + n].bytes); else sb = b;
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ge_double_scalarmult_precomp_vartime2_p3(&v[n], sa.bytes, c[0], sb.bytes, c[1]);
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}
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v.resize(sz);
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}
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@ -258,14 +264,24 @@ static rct::keyV vector_add(const rct::keyV &a, const rct::keyV &b)
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return res;
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}
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/* Subtract two vectors */
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static rct::keyV vector_subtract(const rct::keyV &a, const rct::keyV &b)
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/* Add a scalar to all elements of a vector */
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static rct::keyV vector_add(const rct::keyV &a, const rct::key &b)
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{
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CHECK_AND_ASSERT_THROW_MES(a.size() == b.size(), "Incompatible sizes of a and b");
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rct::keyV res(a.size());
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for (size_t i = 0; i < a.size(); ++i)
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{
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sc_sub(res[i].bytes, a[i].bytes, b[i].bytes);
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sc_add(res[i].bytes, a[i].bytes, b.bytes);
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}
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return res;
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}
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/* Subtract a scalar from all elements of a vector */
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static rct::keyV vector_subtract(const rct::keyV &a, const rct::key &b)
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{
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rct::keyV res(a.size());
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for (size_t i = 0; i < a.size(); ++i)
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{
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sc_sub(res[i].bytes, a[i].bytes, b.bytes);
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}
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return res;
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}
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@ -549,8 +565,7 @@ try_again:
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}
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// Polynomial construction by coefficients
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const auto zMN = vector_dup(z, MN);
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rct::keyV l0 = vector_subtract(aL, zMN);
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rct::keyV l0 = vector_subtract(aL, z);
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const rct::keyV &l1 = sL;
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// This computes the ugly sum/concatenation from PAPER LINE 65
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@ -570,7 +585,7 @@ try_again:
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}
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}
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rct::keyV r0 = vector_add(aR, zMN);
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rct::keyV r0 = vector_add(aR, z);
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const auto yMN = vector_powers(y, MN);
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r0 = hadamard(r0, yMN);
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r0 = vector_add(r0, zero_twos);
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@ -658,12 +673,15 @@ try_again:
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rct::keyV aprime(MN);
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rct::keyV bprime(MN);
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const rct::key yinv = invert(y);
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rct::key yinvpow = rct::identity();
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rct::keyV yinvpow(MN);
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yinvpow[0] = rct::identity();
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yinvpow[1] = yinv;
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for (size_t i = 0; i < MN; ++i)
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{
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Gprime[i] = Gi_p3[i];
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ge_scalarmult_p3(&Hprime[i], yinvpow.bytes, &Hi_p3[i]);
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sc_mul(yinvpow.bytes, yinvpow.bytes, yinv.bytes);
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Hprime[i] = Hi_p3[i];
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if (i > 1)
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sc_mul(yinvpow[i].bytes, yinvpow[i-1].bytes, yinv.bytes);
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aprime[i] = l[i];
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bprime[i] = r[i];
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}
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@ -675,6 +693,7 @@ try_again:
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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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@ -689,9 +708,9 @@ try_again:
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// PAPER LINES 18-19
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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, &ge_p3_H, &tmp);
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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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sc_mul(tmp.bytes, cR.bytes, x_ip.bytes);
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R[round] = cross_vector_exponent8(nprime, Gprime, 0, Hprime, nprime, aprime, nprime, bprime, 0, &ge_p3_H, &tmp);
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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(PROVE_LR);
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// PAPER LINES 21-22
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@ -708,8 +727,8 @@ try_again:
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if (nprime > 1)
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{
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PERF_TIMER_START_BP(PROVE_hadamard2);
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hadamard_fold(Gprime, winv, w[round]);
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hadamard_fold(Hprime, w[round], winv);
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hadamard_fold(Gprime, NULL, winv, w[round]);
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hadamard_fold(Hprime, scale, w[round], winv);
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PERF_TIMER_STOP(PROVE_hadamard2);
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}
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@ -719,6 +738,7 @@ try_again:
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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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PERF_TIMER_STOP(PROVE_prime);
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scale = NULL;
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++round;
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}
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PERF_TIMER_STOP(PROVE_step4);
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