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-rw-r--r--src/ringct/CMakeLists.txt2
-rw-r--r--src/ringct/bulletproofs.cc205
-rw-r--r--src/ringct/multiexp.cc239
-rw-r--r--src/ringct/multiexp.h60
4 files changed, 455 insertions, 51 deletions
diff --git a/src/ringct/CMakeLists.txt b/src/ringct/CMakeLists.txt
index c8dcdca26..29f166a3b 100644
--- a/src/ringct/CMakeLists.txt
+++ b/src/ringct/CMakeLists.txt
@@ -30,11 +30,13 @@ set(ringct_basic_sources
rctOps.cpp
rctTypes.cpp
rctCryptoOps.c
+ multiexp.cc
bulletproofs.cc)
set(ringct_basic_private_headers
rctOps.h
rctTypes.h
+ multiexp.h
bulletproofs.h)
monero_private_headers(ringct_basic
diff --git a/src/ringct/bulletproofs.cc b/src/ringct/bulletproofs.cc
index aa56b0589..057f19029 100644
--- a/src/ringct/bulletproofs.cc
+++ b/src/ringct/bulletproofs.cc
@@ -38,6 +38,7 @@ extern "C"
#include "crypto/crypto-ops.h"
}
#include "rctOps.h"
+#include "multiexp.h"
#include "bulletproofs.h"
#undef MONERO_DEFAULT_LOG_CATEGORY
@@ -58,6 +59,7 @@ static rct::key inner_product(const rct::keyV &a, const rct::keyV &b);
static constexpr size_t maxN = 64;
static constexpr size_t maxM = 16;
static rct::key Hi[maxN*maxM], Gi[maxN*maxM];
+static ge_p3 Hi_p3[maxN*maxM], Gi_p3[maxN*maxM];
static ge_dsmp Gprecomp[maxN*maxM], Hprecomp[maxN*maxM];
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_dup(rct::identity(), maxN);
@@ -110,9 +112,12 @@ static void init_exponents()
{
Hi[i] = get_exponent(rct::H, i * 2);
rct::precomp(Hprecomp[i], Hi[i]);
+ CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&Hi_p3[i], Hi[i].bytes) == 0, "ge_frombytes_vartime failed");
Gi[i] = get_exponent(rct::H, i * 2 + 1);
rct::precomp(Gprecomp[i], Gi[i]);
+ CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&Gi_p3[i], Gi[i].bytes) == 0, "ge_frombytes_vartime failed");
}
+ MINFO("cache size: " << (sizeof(Hi)+sizeof(Hprecomp)+sizeof(Hi_p3))*2/1024 << " kB");
init_done = true;
}
@@ -121,6 +126,26 @@ 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*maxM, "Incompatible sizes of a and maxN");
+#if 1
+ std::vector<MultiexpData> multiexp_data;
+ multiexp_data.reserve(a.size()*2);
+ for (size_t i = 0; i < a.size(); ++i)
+ {
+ if (!(a[i] == rct::zero()))
+ {
+ multiexp_data.resize(multiexp_data.size() + 1);
+ multiexp_data.back().scalar = a[i];
+ multiexp_data.back().point = Gi_p3[i];
+ }
+ if (!(b[i] == rct::zero()))
+ {
+ multiexp_data.resize(multiexp_data.size() + 1);
+ multiexp_data.back().scalar = b[i];
+ multiexp_data.back().point = Hi_p3[i];
+ }
+ }
+ return bos_coster_heap_conv_robust(multiexp_data);
+#else
ge_p3 res_p3 = ge_p3_identity;
for (size_t i = 0; i < a.size(); ++i)
{
@@ -129,6 +154,7 @@ static rct::key vector_exponent(const rct::keyV &a, const rct::keyV &b)
rct::key res;
ge_p3_tobytes(res.bytes, &res_p3);
return res;
+#endif
}
/* Compute a custom vector-scalar commitment */
@@ -138,6 +164,26 @@ static rct::key vector_exponent_custom(const rct::keyV &A, const rct::keyV &B, c
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*maxM, "Incompatible sizes of a and maxN");
+#if 1
+ std::vector<MultiexpData> multiexp_data;
+ multiexp_data.reserve(a.size()*2);
+ for (size_t i = 0; i < a.size(); ++i)
+ {
+ if (!(a[i] == rct::zero()))
+ {
+ multiexp_data.resize(multiexp_data.size() + 1);
+ multiexp_data.back().scalar = a[i];
+ CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&multiexp_data.back().point, A[i].bytes) == 0, "ge_frombytes_vartime failed");
+ }
+ if (!(b[i] == rct::zero()))
+ {
+ multiexp_data.resize(multiexp_data.size() + 1);
+ multiexp_data.back().scalar = b[i];
+ CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&multiexp_data.back().point, B[i].bytes) == 0, "ge_frombytes_vartime failed");
+ }
+ }
+ return bos_coster_heap_conv_robust(multiexp_data);
+#else
ge_p3 res_p3 = ge_p3_identity;
for (size_t i = 0; i < a.size(); ++i)
{
@@ -174,6 +220,7 @@ static rct::key vector_exponent_custom(const rct::keyV &A, const rct::keyV &B, c
rct::key res;
ge_p3_tobytes(res.bytes, &res_p3);
return res;
+#endif
}
/* Given a scalar, construct a vector of powers */
@@ -924,7 +971,7 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
PERF_TIMER_START_BP(VERIFY_line_61);
// PAPER LINE 61
- rct::key L61Left;
+ rct::key L61Left, L61Right;
rct::addKeys2(L61Left, proof.taux, proof.t, rct::H);
const rct::keyV zpow = vector_powers(z, M+3);
@@ -939,36 +986,61 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
}
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::scalarmultKey(rct::H, tmp);
- ge_p3 L61Right_p3;
- CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&L61Right_p3, L61Right.bytes) == 0, "ge_frombytes_vartime failed");
- for (size_t j = 0; j+1 < proof.V.size(); j += 2)
+ // multiexp is slower for small numbers of calcs
+ if (M >= 16)
{
- CHECK_AND_ASSERT_MES(j+2+1 < zpow.size(), false, "invalid zpow index");
- ge_dsmp precomp0, precomp1;
- rct::precomp(precomp0, j < proof.V.size() ? proof.V[j] : rct::identity());
- rct::precomp(precomp1, j+1 < proof.V.size() ? proof.V[j+1] : rct::identity());
- rct::addKeys3acc_p3(&L61Right_p3, zpow[j+2], precomp0, zpow[j+2+1], precomp1);
+ PERF_TIMER_START_BP(VERIFY_line_61rl_new);
+ sc_muladd(tmp.bytes, z.bytes, ip1y.bytes, k.bytes);
+ std::vector<MultiexpData> multiexp_data;
+ multiexp_data.reserve(3+M);
+ multiexp_data.push_back({tmp, rct::H});
+ for (size_t j = 0; j < M; j++)
+ {
+ if (!(zpow[j+2] == rct::zero()))
+ multiexp_data.push_back({zpow[j+2], j < proof.V.size() ? proof.V[j] : rct::identity()});
+ }
+ if (!(x == rct::zero()))
+ multiexp_data.push_back({x, proof.T1});
+ rct::key xsq;
+ sc_mul(xsq.bytes, x.bytes, x.bytes);
+ if (!(xsq == rct::zero()))
+ multiexp_data.push_back({xsq, proof.T2});
+ L61Right = bos_coster_heap_conv_robust(multiexp_data);
+ PERF_TIMER_STOP(VERIFY_line_61rl_new);
}
- for (size_t j = proof.V.size() & 0xfffffffe; j < M; j++)
+ else
{
- CHECK_AND_ASSERT_MES(j+2 < zpow.size(), false, "invalid zpow index");
- // faster equivalent to:
- // tmp = rct::scalarmultKey(j < proof.V.size() ? proof.V[j] : rct::identity(), zpow[j+2]);
- // rct::addKeys(L61Right, L61Right, tmp);
- if (j < proof.V.size())
- addKeys_acc_p3(&L61Right_p3, zpow[j+2], proof.V[j]);
- }
+ PERF_TIMER_START_BP(VERIFY_line_61rl_old);
+ sc_muladd(tmp.bytes, z.bytes, ip1y.bytes, k.bytes);
+ L61Right = rct::scalarmultKey(rct::H, tmp);
+ ge_p3 L61Right_p3;
+ CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&L61Right_p3, L61Right.bytes) == 0, "ge_frombytes_vartime failed");
+ for (size_t j = 0; j+1 < proof.V.size(); j += 2)
+ {
+ CHECK_AND_ASSERT_MES(j+2+1 < zpow.size(), false, "invalid zpow index");
+ ge_dsmp precomp0, precomp1;
+ rct::precomp(precomp0, j < proof.V.size() ? proof.V[j] : rct::identity());
+ rct::precomp(precomp1, j+1 < proof.V.size() ? proof.V[j+1] : rct::identity());
+ rct::addKeys3acc_p3(&L61Right_p3, zpow[j+2], precomp0, zpow[j+2+1], precomp1);
+ }
+ for (size_t j = proof.V.size() & 0xfffffffe; j < M; j++)
+ {
+ CHECK_AND_ASSERT_MES(j+2 < zpow.size(), false, "invalid zpow index");
+ // faster equivalent to:
+ // tmp = rct::scalarmultKey(j < proof.V.size() ? proof.V[j] : rct::identity(), zpow[j+2]);
+ // rct::addKeys(L61Right, L61Right, tmp);
+ if (j < proof.V.size())
+ addKeys_acc_p3(&L61Right_p3, zpow[j+2], proof.V[j]);
+ }
- addKeys_acc_p3(&L61Right_p3, x, proof.T1);
+ addKeys_acc_p3(&L61Right_p3, x, proof.T1);
- rct::key xsq;
- sc_mul(xsq.bytes, x.bytes, x.bytes);
- addKeys_acc_p3(&L61Right_p3, xsq, proof.T2);
- ge_p3_tobytes(L61Right.bytes, &L61Right_p3);
- PERF_TIMER_STOP(VERIFY_line_61rl);
+ rct::key xsq;
+ sc_mul(xsq.bytes, x.bytes, x.bytes);
+ addKeys_acc_p3(&L61Right_p3, xsq, proof.T2);
+ ge_p3_tobytes(L61Right.bytes, &L61Right_p3);
+ PERF_TIMER_STOP(VERIFY_line_61rl_old);
+ }
if (!(L61Right == L61Left))
{
@@ -998,7 +1070,6 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
PERF_TIMER_START_BP(VERIFY_line_24_25);
// Basically PAPER LINES 24-25
// Compute the curvepoints from G[i] and H[i]
- ge_p3 inner_prod_p3 = ge_p3_identity;
rct::key yinvpow = rct::identity();
rct::key ypow = rct::identity();
@@ -1009,6 +1080,9 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
winv[i] = invert(w[i]);
PERF_TIMER_STOP(VERIFY_line_24_25_invert);
+ std::vector<MultiexpData> multiexp_data;
+ multiexp_data.clear();
+ multiexp_data.reserve(MN*2);
for (size_t i = 0; i < MN; ++i)
{
// Convert the index to binary IN REVERSE and construct the scalar exponent
@@ -1040,9 +1114,10 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
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
- addKeys3acc_p3(&inner_prod_p3, g_scalar, Gprecomp[i], h_scalar, Hprecomp[i]);
+ if (!(g_scalar == rct::zero()))
+ multiexp_data.push_back({g_scalar, Gi_p3[i]});
+ if (!(h_scalar == rct::zero()))
+ multiexp_data.push_back({h_scalar, Hi_p3[i]});
if (i != MN-1)
{
@@ -1050,36 +1125,64 @@ bool bulletproof_VERIFY(const Bulletproof &proof)
sc_mul(ypow.bytes, ypow.bytes, y.bytes);
}
}
- rct::key inner_prod;
- ge_p3_tobytes(inner_prod.bytes, &inner_prod_p3);
+
+ rct::key inner_prod = bos_coster_heap_conv_robust(multiexp_data);
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::scalarmultBase(tmp));
- ge_p3 pprime_p3;
- CHECK_AND_ASSERT_MES(ge_frombytes_vartime(&pprime_p3, pprime.bytes) == 0, false, "ge_frombytes_vartime failed");
+ // multiexp does not seem to give any speedup here
+ if(0)
+ {
+ PERF_TIMER_START_BP(VERIFY_line_26_new);
+ // PAPER LINE 26
+ std::vector<MultiexpData> multiexp_data;
+ multiexp_data.reserve(1+2*rounds);
+
+ sc_sub(tmp.bytes, rct::zero().bytes, proof.mu.bytes);
+ rct::addKeys(pprime, P, rct::scalarmultBase(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 (!(tmp == rct::zero()))
+ multiexp_data.push_back({tmp, proof.L[i]});
+ if (!(tmp2 == rct::zero()))
+ multiexp_data.push_back({tmp2, proof.R[i]});
+ }
+ sc_mul(tmp.bytes, proof.t.bytes, x_ip.bytes);
+ if (!(tmp == rct::zero()))
+ multiexp_data.push_back({tmp, rct::H});
+ addKeys(pprime, pprime, bos_coster_heap_conv_robust(multiexp_data));
+ PERF_TIMER_STOP(VERIFY_line_26_new);
+ }
- 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);
+ PERF_TIMER_START_BP(VERIFY_line_26_old);
+ // PAPER LINE 26
+ sc_sub(tmp.bytes, rct::zero().bytes, proof.mu.bytes);
+ rct::addKeys(pprime, P, rct::scalarmultBase(tmp));
+ ge_p3 pprime_p3;
+ CHECK_AND_ASSERT_MES(ge_frombytes_vartime(&pprime_p3, pprime.bytes) == 0, false, "ge_frombytes_vartime failed");
+
+ 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]);
- addKeys3acc_p3(&pprime_p3, tmp, cacheL, tmp2, cacheR);
+ ge_dsmp cacheL, cacheR;
+ rct::precomp(cacheL, proof.L[i]);
+ rct::precomp(cacheR, proof.R[i]);
+ addKeys3acc_p3(&pprime_p3, tmp, cacheL, tmp2, cacheR);
#else
- rct::addKeys(pprime, pprime, rct::scalarmultKey(proof.L[i], tmp));
- rct::addKeys(pprime, pprime, rct::scalarmultKey(proof.R[i], tmp2));
+ 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);
+ addKeys_acc_p3(&pprime_p3, tmp, rct::H);
+ ge_p3_tobytes(pprime.bytes, &pprime_p3);
+ PERF_TIMER_STOP(VERIFY_line_26_old);
}
- sc_mul(tmp.bytes, proof.t.bytes, x_ip.bytes);
- addKeys_acc_p3(&pprime_p3, tmp, rct::H);
- ge_p3_tobytes(pprime.bytes, &pprime_p3);
- PERF_TIMER_STOP(VERIFY_line_26);
PERF_TIMER_START_BP(VERIFY_step2_check);
sc_mul(tmp.bytes, proof.a.bytes, proof.b.bytes);
diff --git a/src/ringct/multiexp.cc b/src/ringct/multiexp.cc
new file mode 100644
index 000000000..2545325ae
--- /dev/null
+++ b/src/ringct/multiexp.cc
@@ -0,0 +1,239 @@
+// 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 Python code by Sarang Noether
+
+#include "misc_log_ex.h"
+#include "common/perf_timer.h"
+extern "C"
+{
+#include "crypto/crypto-ops.h"
+}
+#include "rctOps.h"
+#include "multiexp.h"
+
+#undef MONERO_DEFAULT_LOG_CATEGORY
+#define MONERO_DEFAULT_LOG_CATEGORY "multiexp.boscoster"
+
+//#define MULTIEXP_PERF(x) x
+#define MULTIEXP_PERF(x)
+
+namespace rct
+{
+
+static inline bool operator<(const rct::key &k0, const rct::key&k1)
+{
+ for (int n = 31; n >= 0; --n)
+ {
+ if (k0.bytes[n] < k1.bytes[n])
+ return true;
+ if (k0.bytes[n] > k1.bytes[n])
+ return false;
+ }
+ return false;
+}
+
+static inline rct::key div2(const rct::key &k)
+{
+ rct::key res;
+ int carry = 0;
+ for (int n = 31; n >= 0; --n)
+ {
+ int new_carry = (k.bytes[n] & 1) << 7;
+ res.bytes[n] = k.bytes[n] / 2 + carry;
+ carry = new_carry;
+ }
+ return res;
+}
+
+rct::key bos_coster_heap_conv(std::vector<MultiexpData> &data)
+{
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(bos_coster, 1000000));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(setup, 1000000));
+ size_t points = data.size();
+ CHECK_AND_ASSERT_THROW_MES(points > 1, "Not enough points");
+ std::vector<size_t> heap(points);
+ for (size_t n = 0; n < points; ++n)
+ heap[n] = n;
+
+ auto Comp = [&](size_t e0, size_t e1) { return data[e0].scalar < data[e1].scalar; };
+ std::make_heap(heap.begin(), heap.end(), Comp);
+ MULTIEXP_PERF(PERF_TIMER_STOP(setup));
+
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(loop, 1000000));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(pop, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(pop));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(add, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(add));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(sub, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(sub));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(push, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(push));
+ while (heap.size() > 1)
+ {
+ MULTIEXP_PERF(PERF_TIMER_RESUME(pop));
+ std::pop_heap(heap.begin(), heap.end(), Comp);
+ size_t index1 = heap.back();
+ heap.pop_back();
+ std::pop_heap(heap.begin(), heap.end(), Comp);
+ size_t index2 = heap.back();
+ heap.pop_back();
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(pop));
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(add));
+ ge_cached cached;
+ ge_p3_to_cached(&cached, &data[index1].point);
+ ge_p1p1 p1;
+ ge_add(&p1, &data[index2].point, &cached);
+ ge_p1p1_to_p3(&data[index2].point, &p1);
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(add));
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(sub));
+ sc_sub(data[index1].scalar.bytes, data[index1].scalar.bytes, data[index2].scalar.bytes);
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(sub));
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(push));
+ if (!(data[index1].scalar == rct::zero()))
+ {
+ heap.push_back(index1);
+ std::push_heap(heap.begin(), heap.end(), Comp);
+ }
+
+ heap.push_back(index2);
+ std::push_heap(heap.begin(), heap.end(), Comp);
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(push));
+ }
+ MULTIEXP_PERF(PERF_TIMER_STOP(push));
+ MULTIEXP_PERF(PERF_TIMER_STOP(sub));
+ MULTIEXP_PERF(PERF_TIMER_STOP(add));
+ MULTIEXP_PERF(PERF_TIMER_STOP(pop));
+ MULTIEXP_PERF(PERF_TIMER_STOP(loop));
+
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(end, 1000000));
+ //return rct::scalarmultKey(data[index1].point, data[index1].scalar);
+ std::pop_heap(heap.begin(), heap.end(), Comp);
+ size_t index1 = heap.back();
+ heap.pop_back();
+ ge_p2 p2;
+ ge_scalarmult(&p2, data[index1].scalar.bytes, &data[index1].point);
+ rct::key res;
+ ge_tobytes(res.bytes, &p2);
+ return res;
+}
+
+rct::key bos_coster_heap_conv_robust(std::vector<MultiexpData> &data)
+{
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(bos_coster, 1000000));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(setup, 1000000));
+ size_t points = data.size();
+ CHECK_AND_ASSERT_THROW_MES(points > 1, "Not enough points");
+ std::vector<size_t> heap(points);
+ for (size_t n = 0; n < points; ++n)
+ heap[n] = n;
+
+ auto Comp = [&](size_t e0, size_t e1) { return data[e0].scalar < data[e1].scalar; };
+ std::make_heap(heap.begin(), heap.end(), Comp);
+ MULTIEXP_PERF(PERF_TIMER_STOP(setup));
+
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(loop, 1000000));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(pop, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(pop));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(div, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(div));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(add, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(add));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(sub, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(sub));
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(push, 1000000)); MULTIEXP_PERF(PERF_TIMER_PAUSE(push));
+ while (heap.size() > 1)
+ {
+ MULTIEXP_PERF(PERF_TIMER_RESUME(pop));
+ std::pop_heap(heap.begin(), heap.end(), Comp);
+ size_t index1 = heap.back();
+ heap.pop_back();
+ std::pop_heap(heap.begin(), heap.end(), Comp);
+ size_t index2 = heap.back();
+ heap.pop_back();
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(pop));
+
+ ge_cached cached;
+ ge_p1p1 p1;
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(div));
+ while (1)
+ {
+ rct::key s1_2 = div2(data[index1].scalar);
+ if (!(data[index2].scalar < s1_2))
+ break;
+ if (data[index1].scalar.bytes[0] & 1)
+ {
+ data.resize(data.size()+1);
+ data.back().scalar = rct::identity();
+ data.back().point = data[index1].point;
+ heap.push_back(data.size() - 1);
+ std::push_heap(heap.begin(), heap.end(), Comp);
+ }
+ data[index1].scalar = div2(data[index1].scalar);
+ ge_p3_to_cached(&cached, &data[index1].point);
+ ge_add(&p1, &data[index1].point, &cached);
+ ge_p1p1_to_p3(&data[index1].point, &p1);
+ }
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(div));
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(add));
+ ge_p3_to_cached(&cached, &data[index1].point);
+ ge_add(&p1, &data[index2].point, &cached);
+ ge_p1p1_to_p3(&data[index2].point, &p1);
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(add));
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(sub));
+ sc_sub(data[index1].scalar.bytes, data[index1].scalar.bytes, data[index2].scalar.bytes);
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(sub));
+
+ MULTIEXP_PERF(PERF_TIMER_RESUME(push));
+ if (!(data[index1].scalar == rct::zero()))
+ {
+ heap.push_back(index1);
+ std::push_heap(heap.begin(), heap.end(), Comp);
+ }
+
+ heap.push_back(index2);
+ std::push_heap(heap.begin(), heap.end(), Comp);
+ MULTIEXP_PERF(PERF_TIMER_PAUSE(push));
+ }
+ MULTIEXP_PERF(PERF_TIMER_STOP(push));
+ MULTIEXP_PERF(PERF_TIMER_STOP(sub));
+ MULTIEXP_PERF(PERF_TIMER_STOP(add));
+ MULTIEXP_PERF(PERF_TIMER_STOP(pop));
+ MULTIEXP_PERF(PERF_TIMER_STOP(loop));
+
+ MULTIEXP_PERF(PERF_TIMER_START_UNIT(end, 1000000));
+ //return rct::scalarmultKey(data[index1].point, data[index1].scalar);
+ std::pop_heap(heap.begin(), heap.end(), Comp);
+ size_t index1 = heap.back();
+ heap.pop_back();
+ ge_p2 p2;
+ ge_scalarmult(&p2, data[index1].scalar.bytes, &data[index1].point);
+ rct::key res;
+ ge_tobytes(res.bytes, &p2);
+ return res;
+}
+
+}
diff --git a/src/ringct/multiexp.h b/src/ringct/multiexp.h
new file mode 100644
index 000000000..108db7c39
--- /dev/null
+++ b/src/ringct/multiexp.h
@@ -0,0 +1,60 @@
+// 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 Python code by Sarang Noether
+
+#pragma once
+
+#ifndef MULTIEXP_H
+#define MULTIEXP_H
+
+#include <vector>
+#include "crypto/crypto.h"
+#include "rctTypes.h"
+
+namespace rct
+{
+
+struct MultiexpData {
+ rct::key scalar;
+ ge_p3 point;
+
+ MultiexpData() {}
+ MultiexpData(const rct::key &s, const ge_p3 &p): scalar(s), point(p) {}
+ MultiexpData(const rct::key &s, const rct::key &p): scalar(s)
+ {
+ CHECK_AND_ASSERT_THROW_MES(ge_frombytes_vartime(&point, p.bytes) == 0, "ge_frombytes_vartime failed");
+ }
+};
+
+rct::key bos_coster_heap_conv(std::vector<MultiexpData> &data);
+rct::key bos_coster_heap_conv_robust(std::vector<MultiexpData> &data);
+
+}
+
+#endif