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-rw-r--r--src/ringct/bulletproofs.cc6
-rw-r--r--src/ringct/multiexp.cc133
-rw-r--r--src/ringct/multiexp.h2
3 files changed, 138 insertions, 3 deletions
diff --git a/src/ringct/bulletproofs.cc b/src/ringct/bulletproofs.cc
index 884c99537..83005eaa4 100644
--- a/src/ringct/bulletproofs.cc
+++ b/src/ringct/bulletproofs.cc
@@ -72,10 +72,10 @@ static boost::mutex init_mutex;
static inline rct::key multiexp(const std::vector<MultiexpData> &data, bool HiGi)
{
static const size_t STEP = getenv("STRAUS_STEP") ? atoi(getenv("STRAUS_STEP")) : 0;
- if (HiGi || data.size() < 1000)
- return straus(data, HiGi ? HiGi_cache: NULL, STEP);
+ if (HiGi)
+ return data.size() <= 256 ? straus(data, HiGi_cache, STEP) : pippenger(data, get_pippenger_c(data.size()));
else
- return bos_coster_heap_conv_robust(data);
+ return data.size() <= 64 ? straus(data, NULL, STEP) : pippenger(data, get_pippenger_c(data.size()));
}
//addKeys3acc_p3
diff --git a/src/ringct/multiexp.cc b/src/ringct/multiexp.cc
index 52c6feb71..fd2d1cbd7 100644
--- a/src/ringct/multiexp.cc
+++ b/src/ringct/multiexp.cc
@@ -55,6 +55,30 @@ extern "C"
// 1 0 52.7 67 67.1
// 1 1 52.8 70.4 70.2
+// Pippenger:
+// 1 2 3 4 5 6 7 8 9 bestN
+// 2 555 598 621 804 1038 1733 2486 5020 8304 1
+// 4 783 747 800 1006 1428 2132 3285 5185 9806 2
+// 8 1174 1071 1095 1286 1640 2398 3869 6378 12080 2
+// 16 2279 1874 1745 1739 2144 2831 4209 6964 12007 4
+// 32 3910 3706 2588 2477 2782 3467 4856 7489 12618 4
+// 64 7184 5429 4710 4368 4010 4672 6027 8559 13684 5
+// 128 14097 10574 8452 7297 6841 6718 8615 10580 15641 6
+// 256 27715 20800 16000 13550 11875 11400 11505 14090 18460 6
+// 512 55100 41250 31740 26570 22030 19830 20760 21380 25215 6
+// 1024 111520 79000 61080 49720 43080 38320 37600 35040 36750 8
+// 2048 219480 162680 122120 102080 83760 70360 66600 63920 66160 8
+// 4096 453320 323080 247240 210200 180040 150240 132440 114920 110560 9
+
+// 2 4 8 16 32 64 128 256 512 1024 2048 4096
+// Bos Coster 858 994 1316 1949 3183 5512 9865 17830 33485 63160 124280 246320
+// Straus 226 341 548 980 1870 3538 7039 14490 29020 57200 118640 233640
+// Straus/cached 226 315 485 785 1514 2858 5753 11065 22970 45120 98880 194840
+// Pippenger 555 747 1071 1739 2477 4010 6718 11400 19830 35040 63920 110560
+
+// Best/cached Straus Straus Straus Straus Straus Straus Straus Straus Pip Pip Pip Pip
+// Best/uncached Straus Straus Straus Straus Straus Straus Pip Pip Pip Pip Pip Pip
+
namespace rct
{
@@ -91,6 +115,26 @@ static inline rct::key pow2(size_t n)
return res;
}
+static inline int test(const rct::key &k, size_t n)
+{
+ if (n >= 256) return 0;
+ return k[n >> 3] & (1 << (n & 7));
+}
+
+static inline void add(ge_p3 &p3, const ge_cached &other)
+{
+ ge_p1p1 p1;
+ ge_add(&p1, &p3, &other);
+ ge_p1p1_to_p3(&p3, &p1);
+}
+
+static inline void add(ge_p3 &p3, const ge_p3 &other)
+{
+ ge_cached cached;
+ ge_p3_to_cached(&cached, &other);
+ add(p3, cached);
+}
+
rct::key bos_coster_heap_conv(std::vector<MultiexpData> data)
{
MULTIEXP_PERF(PERF_TIMER_START_UNIT(bos_coster, 1000000));
@@ -487,4 +531,93 @@ skipfirst:
return res;
}
+size_t get_pippenger_c(size_t N)
+{
+// 2:1, 4:2, 8:2, 16:3, 32:4, 64:4, 128:5, 256:6, 512:7, 1024:7, 2048:8, 4096:9
+ if (N <= 2) return 1;
+ if (N <= 8) return 2;
+ if (N <= 16) return 3;
+ if (N <= 64) return 4;
+ if (N <= 128) return 5;
+ if (N <= 256) return 6;
+ if (N <= 1024) return 7;
+ if (N <= 2048) return 8;
+ return 9;
+}
+
+rct::key pippenger(const std::vector<MultiexpData> &data, size_t c)
+{
+ CHECK_AND_ASSERT_THROW_MES(c <= 9, "c is too large");
+
+ ge_p3 result = ge_p3_identity;
+ std::unique_ptr<ge_p3[]> buckets{new ge_p3[1<<c]};
+ std::unique_ptr<ge_cached[]> cached_points{new ge_cached[data.size()]};
+
+ for (size_t i = 0; i < data.size(); ++i)
+ {
+ ge_p3_to_cached(&cached_points[i], &data[i].point);
+ }
+
+ rct::key maxscalar = rct::zero();
+ for (size_t i = 0; i < data.size(); ++i)
+ if (maxscalar < data[i].scalar)
+ maxscalar = data[i].scalar;
+ size_t groups = 0;
+ while (groups < 256 && pow2(groups) < maxscalar)
+ ++groups;
+ groups = (groups + c - 1) / c;
+
+ for (size_t k = groups; k-- > 0; )
+ {
+ if (memcmp(&result, &ge_p3_identity, sizeof(ge_p3)))
+ {
+ ge_p2 p2;
+ ge_p3_to_p2(&p2, &result);
+ for (size_t i = 0; i < c; ++i)
+ {
+ ge_p1p1 p1;
+ ge_p2_dbl(&p1, &p2);
+ if (i == c - 1)
+ ge_p1p1_to_p3(&result, &p1);
+ else
+ ge_p1p1_to_p2(&p2, &p1);
+ }
+ }
+ for (size_t i = 0; i < (1u<<c); ++i)
+ buckets[i] = ge_p3_identity;
+
+ // partition scalars into buckets
+ for (size_t i = 0; i < data.size(); ++i)
+ {
+ unsigned int bucket = 0;
+ for (size_t j = 0; j < c; ++j)
+ if (test(data[i].scalar, k*c+j))
+ bucket |= 1<<j;
+ if (bucket == 0)
+ continue;
+ CHECK_AND_ASSERT_THROW_MES(bucket < (1u<<c), "bucket overflow");
+ if (memcmp(&buckets[bucket], &ge_p3_identity, sizeof(ge_p3)))
+ {
+ add(buckets[bucket], cached_points[i]);
+ }
+ else
+ buckets[bucket] = data[i].point;
+ }
+
+ // sum the buckets
+ ge_p3 pail = ge_p3_identity;
+ for (size_t i = (1<<c)-1; i > 0; --i)
+ {
+ if (memcmp(&buckets[i], &ge_p3_identity, sizeof(ge_p3)))
+ add(pail, buckets[i]);
+ if (memcmp(&pail, &ge_p3_identity, sizeof(ge_p3)))
+ add(result, pail);
+ }
+ }
+
+ rct::key res;
+ ge_p3_tobytes(res.bytes, &result);
+ return res;
+}
+
}
diff --git a/src/ringct/multiexp.h b/src/ringct/multiexp.h
index c08c70858..2ed8db279 100644
--- a/src/ringct/multiexp.h
+++ b/src/ringct/multiexp.h
@@ -60,6 +60,8 @@ rct::key bos_coster_heap_conv_robust(std::vector<MultiexpData> data);
std::shared_ptr<straus_cached_data> straus_init_cache(const std::vector<MultiexpData> &data);
size_t straus_get_cache_size(const std::shared_ptr<straus_cached_data> &cache);
rct::key straus(const std::vector<MultiexpData> &data, const std::shared_ptr<straus_cached_data> &cache = NULL, size_t STEP = 0);
+size_t get_pippenger_c(size_t N);
+rct::key pippenger(const std::vector<MultiexpData> &data, size_t c);
}