From 5d7c2316045e416d0152dd5cd3a941be3843c67c Mon Sep 17 00:00:00 2001 From: moneromooo-monero Date: Sun, 4 Nov 2018 15:38:59 +0000 Subject: rct: add a zeroCommit cache for common pre-rct case This is called for every pre-rct output at blockchain sync time, and a lot of them wil hit the cache, saving a scalarmult each. --- src/ringct/rctOps.cpp | 186 +++++++++++++++++++++++++++++++++++ tests/performance_tests/crypto_ops.h | 4 + tests/performance_tests/main.cpp | 2 + tests/unit_tests/ringct.cpp | 19 ++++ 4 files changed, 211 insertions(+) diff --git a/src/ringct/rctOps.cpp b/src/ringct/rctOps.cpp index 41bbf6ca3..c64ee4daf 100644 --- a/src/ringct/rctOps.cpp +++ b/src/ringct/rctOps.cpp @@ -30,6 +30,7 @@ #include #include "misc_log_ex.h" +#include "cryptonote_basic/cryptonote_format_utils.h" #include "rctOps.h" using namespace crypto; using namespace std; @@ -39,6 +40,183 @@ using namespace std; #define CHECK_AND_ASSERT_THROW_MES_L1(expr, message) {if(!(expr)) {MWARNING(message); throw std::runtime_error(message);}} +struct zero_commitment { uint64_t amount; rct::key commitment; }; +static const zero_commitment zero_commitments[] = { + { (uint64_t)0ull, {0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66} }, + { (uint64_t)1ull, {0x17, 0x38, 0xeb, 0x7a, 0x67, 0x7c, 0x61, 0x49, 0x22, 0x8a, 0x2b, 0xea, 0xa2, 0x1b, 0xea, 0x9e, 0x33, 0x70, 0x80, 0x2d, 0x72, 0xa3, 0xee, 0xc7, 0x90, 0x11, 0x95, 0x80, 0xe0, 0x2b, 0xd5, 0x22} }, + { (uint64_t)2ull, {0x76, 0x24, 0x84, 0x63, 0xa, 0x6, 0x17, 0x17, 0x8d, 0xe, 0x33, 0xf3, 0x2e, 0xe, 0x11, 0x3e, 0xa8, 0x46, 0x86, 0x9d, 0x46, 0x4b, 0xb, 0x6f, 0xf1, 0x3b, 0x29, 0x97, 0x4, 0x9c, 0xda, 0x7d} }, + { (uint64_t)3ull, {0xcf, 0xf7, 0x7b, 0x56, 0x62, 0x1c, 0x4f, 0xef, 0x74, 0xcf, 0x37, 0xc1, 0x78, 0xd4, 0xb5, 0x8a, 0xf4, 0xad, 0x8c, 0xd4, 0x35, 0xfc, 0xb9, 0x62, 0x76, 0xbc, 0x15, 0x9c, 0x7c, 0x6a, 0x28, 0x8c} }, + { (uint64_t)4ull, {0x9a, 0xb8, 0x6c, 0x31, 0xf4, 0x22, 0xd8, 0x21, 0xb5, 0x22, 0x57, 0x30, 0xd1, 0xbf, 0x73, 0xa, 0x9b, 0x91, 0xd2, 0xee, 0xe3, 0x14, 0xb8, 0x4e, 0xbd, 0x4b, 0x93, 0xa6, 0x81, 0x61, 0x82, 0x66} }, + { (uint64_t)5ull, {0x32, 0xee, 0x2f, 0x65, 0x9a, 0xf6, 0x38, 0x58, 0xc2, 0xf7, 0xdc, 0x11, 0x1b, 0x3b, 0xb8, 0xfe, 0xc0, 0x2c, 0xac, 0x42, 0x38, 0x3b, 0xb7, 0x36, 0xde, 0x1, 0x8, 0x6f, 0x38, 0xf0, 0x12, 0x3c} }, + { (uint64_t)6ull, {0x47, 0x26, 0x2b, 0x1e, 0xa6, 0x43, 0x1, 0x6e, 0x38, 0x24, 0x17, 0x53, 0xa4, 0xfb, 0x39, 0x92, 0x9e, 0x31, 0xea, 0x9b, 0xd3, 0x41, 0x1a, 0xb1, 0x7f, 0x16, 0x6e, 0x61, 0xf6, 0xc, 0xe5, 0xa7} }, + { (uint64_t)7ull, {0xc6, 0x32, 0x93, 0x68, 0x79, 0x9a, 0xd, 0xed, 0x4c, 0x20, 0x25, 0x6b, 0xff, 0xe6, 0x45, 0x47, 0xf1, 0x7b, 0xc4, 0x23, 0x95, 0x4, 0xbe, 0x82, 0x4d, 0xff, 0x8a, 0x2b, 0xe1, 0xaf, 0xe3, 0xcd} }, + { (uint64_t)8ull, {0xd5, 0xf1, 0x50, 0x74, 0x33, 0x46, 0x19, 0xf, 0x84, 0x2b, 0x6, 0xb8, 0xfa, 0xe1, 0x20, 0xeb, 0x85, 0x24, 0x7e, 0x9f, 0x6d, 0xec, 0x88, 0xff, 0xa2, 0x23, 0xbf, 0x69, 0x94, 0xe9, 0xc8, 0xc2} }, + { (uint64_t)9ull, {0x56, 00, 0x23, 0x32, 0x9e, 0xc0, 0xfa, 0xf3, 0x3b, 0x5e, 0x3a, 0x5c, 0xb4, 0xea, 0xef, 0xee, 0x38, 0xf8, 0x96, 0x1c, 0x88, 0xb6, 0x6a, 0x2f, 0x19, 0xd4, 0x59, 0x51, 0x96, 0x9c, 0x6d, 0x1f} }, + { (uint64_t)10ull, {0x3, 0x80, 0xdc, 0x24, 0xcc, 0x97, 0xcc, 0xe6, 0x58, 0xc3, 0xa9, 0x47, 0xc5, 0x10, 0x25, 0xde, 0x1a, 0x69, 0x80, 0x3b, 0xdb, 0x50, 0x5, 0xe3, 0xb7, 0xdd, 0xa9, 0xd, 0x68, 0x59, 0xb0, 0x1c} }, + { (uint64_t)20ull, {0x9, 0x3, 0xf6, 0x2e, 0x97, 0x76, 0x47, 0x58, 0xfe, 0xf8, 0x9e, 0x5b, 0xec, 0x29, 0xef, 0x4f, 0xc5, 0xe6, 0x45, 0x4b, 0x2d, 0x47, 0x44, 0x47, 0x36, 0x4, 0x4c, 0x25, 0x2e, 0xe2, 0x8e, 0xba} }, + { (uint64_t)30ull, {0xa2, 0x8b, 0x89, 0xe0, 0xb, 0xed, 0x62, 0x31, 0x68, 0x5b, 0xf9, 0x74, 0x36, 0xf2, 0xba, 0x51, 0xa2, 0x51, 0x55, 0x7f, 0x8d, 0x17, 0xa, 0x78, 0xe3, 0x12, 0xd6, 0x24, 0xbf, 0x60, 0xff, 0xfe} }, + { (uint64_t)40ull, {0xb5, 0xc6, 0x95, 0x55, 0x6a, 0x28, 0x47, 0xb2, 0xe, 0x1c, 0xbb, 0x26, 0xe6, 0xa9, 0xc6, 0x8a, 0x61, 0xc5, 0x50, 0xce, 0xb7, 0xc3, 0x4, 0xfe, 0x92, 0x28, 0x3d, 0x29, 0xa9, 0xb2, 0x43, 0xcb} }, + { (uint64_t)50ull, {0x12, 0x8e, 0xc6, 0xcd, 0xc0, 0x6b, 0x43, 0xc5, 0xd0, 0x9c, 0x3f, 0x65, 0x2a, 0xe3, 0x44, 0x7f, 0x9b, 0x3f, 0x2c, 0x30, 0x91, 0x2d, 0xf0, 0x80, 0x37, 00, 0x85, 0xbc, 0xc, 0x9, 0xef, 0x78} }, + { (uint64_t)60ull, {0x1f, 0x9f, 0x40, 0x3a, 0xae, 0xa7, 0x16, 0xfb, 0xe2, 0x98, 0xa8, 0x14, 0xf1, 0xee, 0xbc, 0x1b, 0x73, 0x16, 0x8c, 0x37, 0xfa, 0xe3, 0x16, 0xeb, 0x65, 0x5, 0x81, 0x6f, 0xc2, 0x20, 0xeb, 0xfb} }, + { (uint64_t)70ull, {0x10, 0xa2, 0x38, 0xc5, 0xe4, 0x8e, 0x4b, 0x93, 0x99, 0xdb, 0xa6, 0xcb, 0xd9, 0x8e, 0x63, 0x54, 0x41, 0x59, 0xe9, 0x8c, 0x93, 0x5a, 0xc0, 0x60, 0x3d, 0x72, 0xde, 0xf, 0xff, 0x31, 0x53, 0xbb} }, + { (uint64_t)80ull, {0x75, 0xab, 0x78, 0xc7, 0x28, 0x1f, 0x69, 0x28, 0xf0, 0x94, 0x86, 0x5, 0x7a, 0x63, 0x64, 0x18, 0x27, 0xc5, 0x74, 0x84, 0xe3, 0xe9, 0x9a, 0x39, 0xf3, 0x12, 0xa4, 0x3a, 0x51, 0x9b, 0xda, 0x8} }, + { (uint64_t)90ull, {0xe9, 0x56, 0x7b, 0xa7, 0x88, 0xb8, 0x5b, 0x82, 0xc8, 0x65, 0x7a, 0x15, 0xa5, 0x48, 0x99, 0x5c, 0xf6, 0xb0, 0xbd, 0xd1, 0xc6, 0x2a, 0xda, 0x77, 0x55, 0xf2, 0x32, 0x3a, 0xd8, 0xa4, 0x8, 0x51} }, + { (uint64_t)100ull, {0xb6, 0x17, 0x36, 0xd5, 0xf2, 0x8d, 0xef, 0x28, 0x61, 0x6a, 0xfc, 0x47, 0x93, 0xe9, 0x9b, 0x27, 0xcd, 0x3e, 0x89, 0xfb, 0x91, 0xc1, 0x13, 0xd4, 0x30, 0x73, 0x65, 0xfb, 0x75, 0xde, 0xdf, 0x88} }, + { (uint64_t)200ull, {0x71, 0x3, 0xeb, 0x72, 0x19, 0x28, 0xd7, 0x91, 0x99, 0x87, 0xf3, 0x50, 0xca, 0xa5, 0x7a, 0xe7, 0xb0, 0x81, 0x57, 0x15, 0x3b, 0x4c, 0x43, 0xd, 0x3e, 0xde, 0xc0, 0xc2, 0x3, 0x7, 0x97, 0x44} }, + { (uint64_t)300ull, {0x24, 0x40, 0x9e, 0x92, 0x2e, 0xce, 0xd1, 0xa0, 0x5e, 0x4e, 0xac, 0xa3, 0xdf, 0x91, 0x19, 0xc3, 0x8a, 0x92, 0x2e, 0xb, 0x66, 0xd0, 0x2d, 0x9d, 0xd2, 0xfb, 0x1d, 0xcc, 0x20, 0xb9, 0xaf, 0xc7} }, + { (uint64_t)400ull, {0xa7, 0x72, 0x9f, 0xa9, 0x32, 0x81, 0x82, 0x99, 0x34, 0x11, 0x5d, 0x47, 0x5a, 0x67, 0x86, 0xa, 0x14, 0x12, 0xc5, 0xe5, 0x95, 0x12, 0x20, 0xd9, 0x60, 0xc2, 0x41, 0xa0, 0x19, 0x1a, 0x9e, 0x65} }, + { (uint64_t)500ull, {0x2e, 0x53, 0xc, 0x6, 0x1c, 0x6d, 0x9e, 0x97, 0xab, 0xaf, 0x46, 0x8c, 0x32, 0xb0, 0xad, 0xa7, 0x49, 0x22, 0x57, 0x72, 0xfc, 0xd1, 0x17, 0x41, 0xcb, 0x5c, 0x3, 0x5c, 0xdd, 0x26, 0x14, 0xe} }, + { (uint64_t)600ull, {0xa5, 0xb, 0x91, 0x9, 0x9d, 0xf1, 0xb1, 0x69, 0x4f, 0x30, 0xb5, 0x8f, 0xe6, 0x77, 0x68, 0x50, 0xdb, 0xdb, 0xf4, 0x6c, 0xed, 0x99, 0x7f, 0x52, 0x62, 0xa8, 0x51, 0x59, 0x40, 0x74, 0xa5, 0x9d} }, + { (uint64_t)700ull, {0x51, 0x2c, 0xf, 0xae, 0xcc, 0xbe, 0xf2, 0xfe, 0xe5, 0x75, 0x4c, 0x6a, 0x45, 0xfd, 0xc0, 0x75, 0x2d, 0x4f, 0x15, 0x22, 0xe7, 0x7f, 0xf0, 0xc4, 0x8d, 0xcb, 0x19, 0x91, 0x8a, 0x68, 0x84, 0xe0} }, + { (uint64_t)800ull, {0xda, 0xa9, 0xf9, 0xa5, 0xb9, 0x71, 0x33, 0x33, 0xe9, 0x8c, 0x5, 0xac, 0xe7, 0x27, 0xcc, 0xe, 0x7d, 0xc3, 0xf1, 0x59, 0x49, 0xe1, 0xef, 0x4d, 0x94, 0xfa, 0x47, 0xd6, 0x8a, 0x34, 0xc6, 0x75} }, + { (uint64_t)900ull, {0xc7, 0x2b, 0x18, 0xc9, 0x17, 0xcd, 0x43, 0xee, 0x78, 0x40, 0x5e, 0x39, 0x83, 0x98, 0xb8, 0x3a, 0xc0, 0x97, 0x7b, 0x25, 0x19, 0x90, 0xd8, 0x13, 0xc, 0x38, 0xba, 0x53, 0xb6, 0x3d, 0xb4, 0xf7} }, + { (uint64_t)1000ull, {0x1, 0xdf, 0x60, 0x91, 0xeb, 0x6a, 0x48, 0xe9, 0xe4, 0x22, 0x25, 0xb, 0xe3, 0x83, 0x88, 0xc8, 0x61, 0xb6, 0x55, 0x55, 0xa7, 0x20, 0xad, 0x15, 0x35, 0x86, 0xfe, 0x2b, 0xd2, 0x2f, 0xa2, 0x3d} }, + { (uint64_t)2000ull, {0x24, 0xf5, 0xb1, 0x34, 0x78, 0x46, 0xaf, 0x22, 0xb5, 0x6f, 0x41, 0x25, 0xb3, 0xe7, 0x67, 0x8c, 0xf8, 0x4b, 0x4f, 0xd2, 0xf9, 0x2e, 0x1c, 0x40, 0xaa, 0x3a, 0x1b, 0xe0, 0xc7, 0x4d, 0x95, 0xe6} }, + { (uint64_t)3000ull, {0xa7, 0x1c, 0x9a, 0x8f, 0x40, 0xc1, 0x25, 0x9c, 0x36, 0x26, 0x27, 0x73, 0xe0, 0x8, 0x20, 0x18, 0x3e, 0x6b, 0x59, 0xe0, 0x71, 0xc9, 0x9b, 0x34, 0x9b, 0xef, 0x8f, 0x7e, 0xd2, 0xc6, 0xad, 0xb9} }, + { (uint64_t)4000ull, {0x98, 0xdc, 0x74, 0xaf, 0x19, 0x89, 0xd3, 0x4b, 0x64, 0x2e, 0xb3, 0x6, 0x2d, 0xbc, 0x9d, 0xca, 0xd8, 0x1, 0xc5, 0x65, 0x27, 0x6, 0x93, 0x99, 0xe7, 0xc4, 0x11, 0xad, 0x14, 0x28, 0x82, 0xf6} }, + { (uint64_t)5000ull, {0x61, 0x76, 0xac, 0x4a, 0xc0, 0x6, 0x5e, 0x49, 0xd6, 0xc4, 0x41, 0xcf, 0x40, 0x4f, 0xad, 0xda, 0xad, 0x44, 0x93, 0xe, 0xf0, 0x3c, 0x68, 0x9, 0xad, 0xd7, 0x77, 0xe4, 0x2f, 0xee, 0x7f, 0x10} }, + { (uint64_t)6000ull, {0x78, 0x79, 0x4, 0x65, 0xf6, 0x60, 0x5b, 0x5a, 0x84, 0x77, 0x36, 0x5a, 0xa6, 0xc2, 0xa4, 0xa5, 0x84, 0x91, 0xc, 0x23, 0x95, 0x2, 0x92, 0x97, 0x52, 0x49, 0xa1, 0xad, 0x7d, 0xf0, 0xf7, 0xe8} }, + { (uint64_t)7000ull, {0x20, 0xa5, 0x60, 0x6b, 0x60, 0x23, 0x95, 0xd6, 0x8e, 0x2f, 0xad, 0x8e, 0xc6, 0x7f, 0x92, 0xde, 0x89, 0xc6, 0x3e, 0x1e, 0x7f, 0xc1, 0xdd, 0x7f, 0x92, 0xff, 0xed, 0xb8, 0xf6, 0x55, 0xfb, 0xd} }, + { (uint64_t)8000ull, {0x9a, 0x78, 0x97, 0x43, 0x98, 0x65, 0x17, 0xd9, 0x5f, 0x4e, 0x80, 0x8b, 0xeb, 0xe6, 0x52, 0xd, 0xe6, 0xcf, 0x8c, 0x51, 0x35, 0xab, 0x36, 0x8, 0x7e, 0x87, 0xe2, 0x76, 0xac, 0x6a, 0x34, 0x1} }, + { (uint64_t)9000ull, {0x5f, 0xc7, 0xaa, 0x48, 0xbb, 0x19, 0x13, 0x58, 0xc7, 0xe3, 0x4d, 0x24, 0xcf, 0x9c, 0x31, 0x16, 0x74, 0x12, 0x7a, 0xb2, 0x45, 0xd0, 0x8f, 0x4e, 0x2c, 0xfd, 0xbf, 0x8f, 0x5, 0xc9, 0x5b, 0xf5} }, + { (uint64_t)10000ull, {0x61, 0x20, 0xe7, 0x76, 0xe9, 0x12, 0xab, 0x10, 0x5a, 0x49, 0xf9, 0xda, 0x2, 0xa6, 0x75, 0x17, 0xc0, 0xa9, 0xb, 0x2b, 0x3e, 0x2d, 0xa3, 0xd, 0xff, 0x34, 0x39, 0x93, 0xdb, 0xec, 0x95, 0x97} }, + { (uint64_t)20000ull, {0x77, 0xbf, 0xb5, 0x37, 0xac, 0xa, 0xbc, 0x41, 0xaa, 0x21, 0xd0, 0xec, 0xd9, 0x18, 0x13, 0x34, 0xd8, 0x6b, 0xa7, 0x86, 0x5a, 0x94, 0x47, 0xf5, 0xc1, 0x58, 0x9a, 0x81, 0xd7, 0xef, 0xb3, 0xbb} }, + { (uint64_t)30000ull, {0x35, 0xf4, 0x5, 0xa9, 0x5f, 0x75, 0x19, 0x2a, 0xe9, 0xc0, 0xd4, 0xf5, 0x88, 0x84, 0x47, 0x14, 0xf6, 0x85, 0x1b, 0x97, 0xce, 0xbd, 0x9f, 0x7c, 0x2, 0xc5, 0xdd, 0xd7, 0xbf, 0x58, 0xff, 0x31} }, + { (uint64_t)40000ull, {0x77, 0x55, 0xbb, 0x3f, 0x38, 0x7c, 0x21, 0xb8, 0xa0, 0xf4, 0x48, 0x1f, 0xbf, 0xa8, 0x8a, 0xbe, 0xee, 0xce, 0xc7, 0x56, 0x53, 0xfc, 0xa1, 0x89, 0x58, 0x39, 0xc1, 0xba, 0x6, 0x47, 0x9f, 0x96} }, + { (uint64_t)50000ull, {0x8b, 0x7e, 0x84, 0xa3, 0x37, 0xb7, 0xb9, 0xcd, 0x5d, 0xb3, 0x63, 0x33, 0x8, 0xad, 0x51, 0x86, 0xa3, 0x59, 0xd, 0xff, 0xb8, 0x23, 0x1e, 0x2f, 0x31, 0xfd, 0x20, 0x42, 0x54, 0x9f, 0xfb, 0xe2} }, + { (uint64_t)60000ull, {0xef, 0xfd, 0xa6, 0x25, 0x15, 0xea, 0xb1, 0xbc, 0x1e, 0xbd, 0x74, 0x92, 0x94, 0x9b, 0x1, 0x22, 0xc3, 0x9f, 0x71, 0xa, 0x65, 0x16, 0xec, 0x66, 0x8c, 0x37, 0x61, 0xe6, 0xcc, 0x36, 0x1f, 0x25} }, + { (uint64_t)70000ull, {0x16, 0xba, 0x89, 00, 0xf3, 0x6f, 0xf, 0x6c, 0x46, 0x1c, 0xb, 0xe7, 0x64, 0xae, 0xee, 0x48, 0x86, 0x6, 0xb0, 0x53, 0xed, 0xdc, 0x10, 0xb5, 0x9a, 0x3e, 0xde, 0xcd, 0x23, 0xd4, 0x4f, 0xc0} }, + { (uint64_t)80000ull, {0x4d, 0xd4, 0x70, 0x3b, 0x7b, 0x7f, 0xcf, 0xe7, 0x2a, 0x2e, 0x4f, 0x31, 0xa4, 0x34, 0x17, 0xf9, 0xc0, 0xda, 0x64, 0x2f, 0xd0, 0xa9, 0x29, 0xb8, 0xf5, 0xed, 0xd8, 0x3, 0x7f, 0x93, 0xc5, 0xb3} }, + { (uint64_t)90000ull, {0x8e, 0xfc, 0x3, 0x20, 0x40, 0xbd, 0x90, 0x41, 0xda, 0x3d, 0xb0, 0x9b, 0xa1, 0x3d, 0xa2, 0xa5, 0xd1, 0xb8, 0x12, 0x3, 0xa, 0x5a, 0x36, 0x7c, 0x58, 0x94, 0xbd, 0x54, 0x11, 0x9, 0xe7, 0x30} }, + { (uint64_t)100000ull, {0xbd, 0x2e, 0xb1, 0x97, 0x83, 0x57, 0x1c, 0xf2, 0x22, 0x2c, 0x81, 0xb, 0x69, 0xf, 0xc7, 0x66, 0x64, 0x57, 0xae, 0x20, 0x92, 0x5b, 0x90, 0x5, 0xce, 0xe6, 0x1d, 0xf2, 0x66, 0x6f, 0xdc, 0xb7} }, + { (uint64_t)200000ull, {0x83, 0xd4, 0xcd, 0xdd, 0xc1, 0x44, 0x87, 0x32, 0xf2, 0x97, 0x7c, 0x41, 0xaa, 0xa7, 0x1f, 0xe6, 0xde, 0x9c, 0x17, 0x6d, 0xa8, 0x99, 0xee, 0xbf, 0xfc, 0x1b, 0xb, 0xa9, 0xea, 0x92, 0x97, 0x90} }, + { (uint64_t)300000ull, {0xcc, 0xc0, 0x6b, 0x44, 0xc3, 0x1, 0x38, 0x6, 0x30, 0x45, 0xed, 0x1, 0xd2, 0x45, 0xd8, 0x14, 0x3, 0xb6, 0x36, 0x52, 0xeb, 0xc4, 0xf9, 0x96, 0x7f, 0xd, 0x7f, 0x38, 0x69, 0x7f, 0x46, 0x16} }, + { (uint64_t)400000ull, {0x1b, 0xbf, 0xe7, 0xe, 0xca, 0xf1, 0xdd, 0xd7, 0xf1, 0x2, 0x36, 0xf6, 0x8a, 0x41, 00, 0xb, 0x5d, 0xab, 0x2d, 0x47, 0x5c, 0xb9, 0x2f, 0x62, 0xc2, 0xd6, 0x84, 0xcf, 0x57, 0x69, 0xfb, 0x84} }, + { (uint64_t)500000ull, {0xf1, 0xb1, 0xcd, 0xaa, 0x78, 0x14, 0x95, 0x36, 0xf, 0x53, 0x31, 0x81, 0xaa, 0x58, 0xc8, 0xbd, 0xae, 0x6a, 0x77, 0x98, 0xd0, 0x2d, 0xab, 0x6d, 0x56, 0x26, 0x81, 0x27, 0x67, 0x9, 0xe7, 0x1} }, + { (uint64_t)600000ull, {0xd5, 0x26, 0x7d, 0x60, 0xd4, 0xfe, 0x9b, 0xc5, 0xfe, 0xfa, 0x7d, 0x3f, 0xe0, 0x7c, 0xd1, 0xfa, 0xd4, 0x55, 0x73, 0xd5, 0xae, 0x19, 0x10, 0xda, 0x7, 0x3e, 0x6d, 0x2d, 0xf9, 0xe2, 0x4, 0x39} }, + { (uint64_t)700000ull, {0xb, 0x58, 0x11, 0x25, 0xc2, 0xc4, 0x83, 0xc9, 0xa3, 0xd8, 0xbc, 0x8, 0x32, 0x2f, 0x26, 0xaa, 0x1f, 0xc5, 0xe, 0x41, 0x53, 0x2c, 0x1b, 0x9d, 0xf6, 0x26, 0xb0, 0x9, 0xd7, 0x88, 0x67, 0xcf} }, + { (uint64_t)800000ull, {0xf5, 0xb3, 0xd1, 0x8f, 0x66, 0xd0, 0xf9, 0x17, 0x5c, 0x30, 0x83, 0xb5, 0xf8, 0x7, 0x8e, 0xaf, 0xa8, 0x9e, 0xf8, 0x1d, 0xe7, 0x15, 0x8, 0xbc, 0x25, 0x1f, 0x5c, 0x5f, 0xe7, 0x25, 0x2e, 0x6} }, + { (uint64_t)900000ull, {0x1, 0xde, 0x40, 0x2c, 0x4b, 00, 0x43, 0x4, 0x2e, 0xae, 0x9e, 0xde, 0xa1, 0x49, 0x2b, 0x9d, 0x82, 0xb7, 0xbc, 0x36, 0x68, 0xe9, 0xb5, 0x84, 0xb0, 0x31, 0x3d, 0x44, 0x50, 0x53, 0x40, 0x74} }, + { (uint64_t)1000000ull, {0x53, 0x4b, 0x85, 0xc7, 0x89, 0x3f, 0x66, 0xf0, 0x26, 0xb6, 0x5e, 0xd7, 0xe7, 0xa4, 0xb8, 0xc9, 0xf4, 0xb, 0xe3, 0x1b, 0xcd, 0xa, 0x3d, 0xcd, 0x27, 0xc4, 0x71, 0x2, 0x56, 0x51, 0x65, 0x3} }, + { (uint64_t)2000000ull, {0xcd, 0xb5, 0xda, 0xfa, 0x53, 0x10, 0xf5, 0x26, 0x2f, 0xfc, 0x9, 0x26, 0xd0, 0xdf, 0x6e, 0xeb, 0xee, 0x2d, 0x52, 0xa9, 0x8d, 0xc6, 0x9f, 0xd, 0xc5, 0xe4, 0xeb, 0xf0, 0xc1, 0xa8, 0x77, 0x2e} }, + { (uint64_t)3000000ull, {0x9e, 0x75, 0x63, 0xf0, 0x33, 0x59, 0xea, 0x31, 0xe2, 0x91, 0xe7, 0xf0, 0xb8, 0x74, 0x17, 0xbc, 0xf5, 0xb2, 0x34, 0xee, 0x8b, 0x7e, 0x5b, 0x4, 0x41, 0x73, 0xbf, 00, 0x46, 0x86, 0x7c, 0x57} }, + { (uint64_t)4000000ull, {0xfd, 0x2a, 0xeb, 0xd, 0x5e, 0xe5, 0x3b, 0x77, 0xf2, 0xb1, 0xe3, 0xac, 0x75, 0x2d, 0x19, 0x38, 0x9f, 0xc5, 0xba, 0xa0, 0xf8, 0xd7, 0x64, 0x48, 0xa5, 0x9f, 0x99, 0x85, 0xa4, 0x8d, 0xa, 0x25} }, + { (uint64_t)5000000ull, {0xc0, 0xbe, 0x4f, 0xb8, 0x77, 0xb9, 0xce, 0x50, 0x87, 0x71, 0x32, 0x3b, 0xcf, 0x1f, 0xb9, 0x48, 0x47, 0x10, 0xee, 0x23, 0x2, 00, 0x6, 0xc3, 0xe8, 0xca, 0xac, 0x6e, 0x4f, 0x2, 0xfa, 0xbf} }, + { (uint64_t)6000000ull, {0xfc, 0x44, 0x5c, 0xa3, 0x84, 0xf3, 0x3e, 0x55, 0x8d, 0xc1, 0x56, 0x44, 0x9d, 0x3f, 0xba, 0x6a, 0xfd, 0x54, 0xc3, 0x42, 0xe6, 0x35, 0x11, 0xf, 0xe7, 0x9c, 0x16, 0xc7, 0x17, 0xf7, 0xd4, 0xf7} }, + { (uint64_t)7000000ull, {0xd8, 0x9, 0x2b, 0x8d, 0x45, 0xdb, 0x54, 0xa5, 0x6d, 0x64, 0xe8, 0x9, 0x4a, 0x6, 0x22, 0xe2, 0x6e, 0x8a, 0x2e, 0xec, 0xb9, 0x3, 0xb2, 0xe1, 0xf7, 0x5a, 0x83, 0x7b, 0x3a, 0xd8, 0x55, 0x4a} }, + { (uint64_t)8000000ull, {0x10, 0x4, 0x5c, 0x91, 0xdb, 0xad, 0x8a, 0x6a, 0x81, 0x62, 0x4a, 0xe0, 0xcf, 0x20, 0x5d, 0xb9, 0x97, 0x3e, 0xe8, 0x42, 0x3e, 0x97, 0xaf, 0x58, 0xa6, 0x1c, 0xfa, 0x7a, 0x78, 0x66, 0xf4, 0x1} }, + { (uint64_t)9000000ull, {0x11, 0x5c, 0x20, 0x9e, 0xe1, 0xde, 0xf3, 0x10, 0xce, 0xc9, 0xa6, 0xd1, 0x6c, 0xe6, 0x27, 0xec, 0xbd, 0xb9, 0xff, 0x2c, 0x23, 0x9, 0x3c, 0x24, 0xc8, 0x6c, 0x1b, 0xf2, 0x50, 0xd4, 0xb5, 0x85} }, + { (uint64_t)10000000ull, {0x2f, 0x99, 0xd9, 0x74, 0x44, 0x18, 0x66, 0x9, 0x49, 0xba, 0x43, 0x35, 0x61, 0xc6, 0x5, 0xb6, 0xf7, 0xbe, 0x8f, 0x82, 0xa, 0x93, 0xcb, 0x2a, 0xed, 0xa9, 0x7c, 0x87, 0x32, 0x92, 0x56, 0x49} }, + { (uint64_t)20000000ull, {0xc6, 0x77, 0x1f, 0xab, 0x14, 0xb, 0x75, 0xf4, 0xef, 0xd0, 0x97, 0xfc, 0xe1, 0x82, 0x6b, 0x80, 0xba, 0xe3, 0x16, 0xbc, 0xec, 0x28, 0x86, 0x9b, 0x3a, 0x1b, 0xf1, 0xbc, 0x6e, 0x4d, 0x20, 0x43} }, + { (uint64_t)30000000ull, {0xa1, 0xe9, 0xed, 0x3e, 0xf6, 0x5a, 0x9d, 0x52, 0x6c, 0xc2, 0x62, 0x5, 0x88, 0x12, 0x1, 0xd8, 0xa8, 0xf2, 0xc4, 0x40, 0x9f, 0xa3, 0x64, 0x10, 0x72, 0x96, 0xb9, 0xf9, 0x6a, 0x61, 0xb3, 0x58} }, + { (uint64_t)40000000ull, {0xb5, 0x31, 0x2d, 0xc7, 0x72, 0x94, 0xab, 0x9b, 0xc8, 0xbf, 0xd1, 0x39, 0x1e, 0x9a, 0xca, 0x92, 0x45, 0xe2, 0x28, 0xf7, 0x4b, 0x49, 0x74, 0xfc, 0x29, 0xad, 0x1c, 0x31, 0xcb, 0xe3, 0xe6, 0xa3} }, + { (uint64_t)50000000ull, {0xb8, 0xab, 0xc9, 0xff, 0xf6, 0x84, 0x1d, 0x2e, 0xa0, 0x13, 0x5a, 0x21, 0x72, 0xd3, 0xa7, 0xb, 0xfc, 0x2b, 0x70, 0x22, 0x8, 0xcd, 0x4a, 0x43, 0xc6, 0x30, 0xbe, 0xb1, 0xb8, 0xa0, 0x32, 0x8b} }, + { (uint64_t)60000000ull, {0x63, 0x90, 0xe1, 0xdb, 0x81, 0xb0, 0xea, 0x5c, 0xe2, 0x73, 0x94, 0x14, 0xe5, 0x2b, 0x7, 0x98, 0xd8, 0x2e, 0xb8, 0xe9, 0xae, 0xc5, 0x6d, 0xfe, 0x7e, 0x2c, 0x64, 0x11, 0xab, 0x79, 0x41, 0x87} }, + { (uint64_t)70000000ull, {0x7e, 0x51, 0xaf, 0xee, 0x5b, 0xc9, 0x71, 0x52, 0x9d, 0x64, 0x4d, 0xcd, 0x7f, 0x2a, 0x2a, 0xb0, 0x26, 0x69, 0xce, 0x2c, 0xb5, 0x7, 0xa6, 0x2d, 0xfc, 0x93, 0x17, 0x6c, 0xb6, 0xdf, 0x41, 0x38} }, + { (uint64_t)80000000ull, {0xf3, 0x7b, 0x94, 0x6b, 0x8b, 0x24, 0x88, 0xeb, 0xee, 0x1c, 0x6, 0xc1, 0x27, 0xfb, 0xe5, 0xfa, 0x5e, 0xfd, 0x62, 0x36, 0x9d, 0xd5, 0xaa, 0xda, 0xed, 0xd8, 0x88, 0x50, 0x1d, 0x3b, 0x7e, 0x3b} }, + { (uint64_t)90000000ull, {0x46, 0xcb, 0x76, 0x57, 0xf6, 0x1c, 0x83, 0x7c, 0xec, 0x80, 0x74, 0xbb, 0xb0, 0xf5, 0x2e, 0x7f, 0xc5, 0x9a, 0xd, 0x94, 0xe0, 0x17, 00, 0x9a, 0xbe, 0x25, 0x65, 0x2e, 0x4a, 0xd2, 0xe5, 0x3d} }, + { (uint64_t)100000000ull, {0x66, 0x7b, 0x8e, 0x6f, 0x6a, 0x4b, 0x91, 0x89, 0x76, 0xd9, 0x73, 0x5a, 0x43, 0x36, 0x7d, 0xc7, 0x59, 0x2c, 0x87, 0xd0, 0xa1, 0xf8, 0x15, 0xc6, 0xe8, 0x7d, 0xf1, 0x1a, 0x13, 0x50, 0x9f, 0xb2} }, + { (uint64_t)200000000ull, {0x3b, 0xcb, 0x51, 0x48, 0x1, 0x64, 0x1b, 0x62, 0x55, 0x93, 0x8c, 0xc5, 0x3, 0x76, 0x2d, 0x35, 0xce, 0x6, 0xd7, 0x5f, 0xe9, 0x50, 0x95, 0x9a, 0x1a, 0xab, 0x21, 0x4b, 0x50, 0x9b, 0x10, 0xb} }, + { (uint64_t)300000000ull, {0xa5, 0x92, 0x6f, 0x3, 0x1e, 0x6b, 0x15, 0xeb, 0x86, 0x23, 0x51, 0x8, 0xab, 0xb1, 0xaf, 0x90, 0xc5, 0xb1, 0x62, 0xc3, 0x99, 0x8c, 0x8b, 0xbb, 0x3f, 0xfb, 0xb0, 0x72, 0x9d, 0xa9, 0x45, 0x7b} }, + { (uint64_t)400000000ull, {0xfe, 0x35, 0xb6, 0x99, 0x44, 0x41, 0xe, 0xaf, 0x81, 0x5b, 0xdc, 0xd0, 0xa4, 0xd7, 0x1e, 0xf9, 0xfc, 0x66, 0x86, 0x48, 0xad, 0x43, 0x74, 0x3b, 0x3, 0x5a, 0xed, 0x2c, 0x17, 0xc1, 0x38, 0x7a} }, + { (uint64_t)500000000ull, {0x22, 0x22, 0xd6, 0x70, 0xb8, 0x7d, 0x9b, 0x47, 0xb8, 0xb9, 0x5c, 0x8c, 0x39, 0x7b, 0xc5, 0x2e, 0x2b, 0x46, 0xa6, 0x48, 0xb0, 0x2, 0xa0, 0x48, 0x5a, 0x37, 0x5c, 0xd8, 0x1f, 0x4a, 0x54, 0x5f} }, + { (uint64_t)600000000ull, {0xd3, 0x23, 0x8a, 0x4a, 0x8b, 0x71, 0xab, 0x46, 0xd1, 0x53, 0x4, 0xac, 0xfa, 0x2f, 0x40, 0xbf, 0x5e, 0xa6, 0x3b, 0x3d, 0x86, 0x4a, 0x79, 0xfa, 0x84, 0x25, 0xd2, 0x65, 0x5a, 0xe7, 0x7, 0x6f} }, + { (uint64_t)700000000ull, {0xa8, 0xff, 0x28, 0x3f, 0xcf, 0xf0, 0x53, 0xd3, 0x44, 0xc8, 0xf7, 0x56, 0x4f, 0x40, 0x24, 0xb6, 0x6b, 0xfa, 0x45, 0x9f, 0x47, 0x6f, 0xd, 0x73, 0xc, 0x91, 0x39, 0x90, 0x8b, 0x2d, 0x64, 0x7e} }, + { (uint64_t)800000000ull, {0xf2, 0xda, 0xf8, 0x88, 0xc4, 0x46, 0x57, 0x1, 0xc0, 0xe6, 0x1e, 0x12, 0xc3, 0xfb, 0xd4, 0xea, 0x79, 0xc7, 0xec, 0xb4, 0xf0, 0xc4, 0xb1, 0x54, 0xc5, 0x1a, 0x24, 0xd1, 0xe9, 0x21, 0x28, 0xba} }, + { (uint64_t)900000000ull, {0x11, 0x6a, 0xe5, 0xd2, 0x9c, 0xec, 0x72, 0xaa, 0xc5, 0x57, 0xcb, 0x14, 0xe2, 0xcd, 0xd5, 0x53, 0xe5, 0x88, 0xff, 0x8b, 0x81, 0x78, 0x26, 0x1, 0x99, 0xc4, 0xc, 0xae, 0xa2, 0x12, 0xcb, 0x63} }, + { (uint64_t)1000000000ull, {0x8c, 0xe6, 0x48, 0x33, 0xce, 0xc9, 00, 0xcb, 0x6d, 0x5a, 0xc4, 0x6f, 0xc0, 0x23, 0x7d, 0x8f, 0x24, 0x39, 0xc3, 0xdf, 0xa2, 0x38, 0xba, 0xf9, 0xcc, 0x94, 0x16, 0x6a, 0xd2, 0xe8, 0x98, 0x87} }, + { (uint64_t)2000000000ull, {0x37, 0x8d, 0x3c, 0x5d, 0xbb, 0xa4, 0x82, 0x3d, 0x33, 0x12, 0xbb, 0x61, 0xfc, 0x6, 0x75, 0xa1, 0xbb, 0x39, 0x89, 0xf3, 0x97, 0x1, 0xeb, 0xd, 0x5c, 0xe4, 0xde, 0x5b, 0xd, 0x90, 0x74, 0x72} }, + { (uint64_t)3000000000ull, {0x7f, 0xa2, 0xd0, 0xa5, 0x99, 0xe7, 0x97, 0x2e, 0x74, 0xcb, 0x75, 0xf9, 0x8a, 0xf4, 0x84, 0xfc, 0x85, 0x19, 0xcb, 0x7e, 0x25, 0xb9, 0x84, 0xa7, 0x6d, 0x8b, 0xc2, 0xba, 0x8d, 0xaf, 0xde, 0xd8} }, + { (uint64_t)4000000000ull, {0xda, 0x3a, 0xcb, 00, 0xab, 0x2d, 0x8d, 0xcc, 0xac, 0xec, 0x8f, 0x77, 0x59, 0x21, 0xc4, 0xe, 0x26, 0xb1, 0xff, 0xbe, 0xca, 0x9e, 0xb7, 0xe6, 0x57, 0x25, 0x6f, 0x59, 0x68, 0xf2, 0x34, 0x1c} }, + { (uint64_t)5000000000ull, {0x34, 0x6, 0xd7, 0x9a, 0x50, 0xd8, 0x14, 0xa9, 0xcc, 0xed, 0x3b, 0x24, 0x4, 0xed, 0x3e, 0x1b, 0x8d, 0xa6, 0x21, 0x98, 0x8c, 0x43, 0xb1, 0x93, 0x69, 0x42, 0xf4, 0x94, 0xa, 0xc5, 0xbf, 0x6a} }, + { (uint64_t)6000000000ull, {0xf8, 0x3e, 0xe8, 0xc1, 0x62, 0xfc, 0x52, 0xa0, 0x8, 0x9f, 0x46, 0xe8, 0x29, 0xc2, 0xea, 0xf6, 0xa1, 0x9f, 0xd5, 0x96, 0xcd, 0x12, 0xb3, 0xe8, 0x19, 0xd5, 0x67, 0x69, 0x44, 0xf, 0x7b, 0x4e} }, + { (uint64_t)7000000000ull, {0x8c, 0x72, 0x7d, 0x24, 0x57, 0xf3, 0x4b, 0x2f, 0xdb, 0x6a, 0xdf, 0x69, 0x1a, 0xb3, 0x5f, 0xaa, 0xe4, 0xff, 0x23, 0x4c, 0x28, 0xb4, 0x4e, 0x9f, 0xd3, 0x71, 0x8e, 0xef, 0xec, 0x41, 0x75, 0x80} }, + { (uint64_t)8000000000ull, {0x4a, 0x2e, 0x2f, 0x76, 0xe3, 0x5d, 0xcb, 0xa8, 0x97, 0xa3, 0xae, 0x72, 0xc4, 0x27, 0xd, 0x9c, 0x13, 0x17, 0x14, 0xed, 0x19, 0x1b, 0x55, 0x5c, 0x5e, 0x1, 0xe4, 0x75, 0x7c, 0xba, 0xe7, 0x2c} }, + { (uint64_t)9000000000ull, {0x3f, 0x9f, 0xc, 0x4, 0xc0, 0xb9, 0xec, 0x9b, 0x4d, 0x11, 0x7c, 0x5f, 0xc9, 0xf1, 0x8a, 0x20, 0xf2, 0xb3, 0xfa, 0xcc, 0xa4, 0xc8, 0xae, 0x41, 0xaf, 0x7c, 0x8, 0xe9, 0xe0, 0xef, 0xb9, 0x81} }, + { (uint64_t)10000000000ull, {0x97, 0xc9, 0x2a, 0x29, 0x1, 0x5e, 0xcb, 0x49, 0xf8, 0x9, 0x5, 0x45, 0xe0, 0x1f, 0xf9, 0x78, 0x6c, 0xae, 0x40, 0x57, 0x73, 0x47, 0x61, 0x18, 0x24, 0xf4, 0xb6, 0x59, 0x9f, 0xf5, 0xd3, 0x64} }, + { (uint64_t)20000000000ull, {0x9, 0xba, 0xed, 0x9a, 0x3c, 0x44, 0xb2, 0x22, 0x85, 0xa0, 0xae, 0xa4, 0x14, 0x8c, 0xa7, 0xde, 0x9b, 0xea, 0x96, 0x3c, 0xf6, 0x96, 0x23, 0xb6, 0x83, 0x44, 0x5c, 0xa, 0x10, 0xa5, 0x86, 0x77} }, + { (uint64_t)30000000000ull, {0x45, 0xac, 0xaf, 0x1d, 0xe2, 0x89, 0x6d, 0xe8, 0x72, 0x84, 0xff, 0xed, 0x57, 0x8b, 0x77, 0x14, 0xf5, 0x18, 0xa6, 0x18, 0xe2, 0xae, 0x6f, 0x90, 0xae, 0x4f, 0x70, 0x13, 0xa2, 0x8e, 0x99, 0xe0} }, + { (uint64_t)40000000000ull, {0x8, 0xb8, 0x47, 0x36, 0x42, 0x24, 0xe2, 0x9c, 0xe3, 0x36, 0x63, 0x93, 0xc2, 0xe1, 0x1e, 0xfc, 0x75, 0x55, 0xde, 0xe1, 0xa0, 0x5f, 0x91, 0xa7, 0x2e, 0x61, 0x11, 0x76, 0x84, 0xdd, 0xbe, 0x29} }, + { (uint64_t)50000000000ull, {0x6c, 0x8e, 0xe, 0x4a, 0x63, 0x4f, 0x85, 0x9a, 0x31, 0xab, 0x2f, 0x7a, 0x78, 0xc0, 0xc4, 0xa5, 0x93, 0x8c, 0xb7, 0x7f, 0x3, 0x35, 0x50, 0xa4, 0x7d, 0x7e, 0x31, 0x81, 0xb6, 0xb2, 0x6e, 0xc0} }, + { (uint64_t)60000000000ull, {0x66, 0xc2, 0xa0, 0x9, 0x65, 0xf9, 0xbf, 0xcb, 0xb1, 0x1e, 0xa0, 0x3c, 0xf1, 0xd6, 0x31, 0xb0, 0xe, 0x8a, 0x1e, 0xf7, 0xa6, 0xb, 0x1b, 0xe4, 0xa5, 0xac, 0x9, 0x23, 0xb, 0xf8, 0x17, 0x3f} }, + { (uint64_t)70000000000ull, {0x63, 0x51, 0xd7, 0x74, 0xc0, 0x2c, 0x5a, 0x9d, 0xee, 0xcf, 0xdb, 0xab, 0x70, 0x96, 0x68, 0x59, 0x8c, 0x47, 0xe4, 0xb1, 0x78, 0x2c, 0xe5, 0xae, 0x31, 0x6a, 0xf7, 0x40, 0xa6, 0x6f, 0x7e, 0x30} }, + { (uint64_t)80000000000ull, {0x5a, 0xcc, 0xfd, 0x16, 0x22, 0x79, 0xa5, 0x1c, 0x8b, 0x3b, 0xd5, 0xd3, 0x67, 0x9e, 0x91, 0x89, 0x67, 0xa2, 0x64, 0xea, 0x6, 0x3d, 0x37, 0xdf, 0xf5, 0xe3, 0x45, 0x7e, 0xc3, 0x7, 0xd4, 0x57} }, + { (uint64_t)90000000000ull, {0xb7, 0x47, 0xfc, 0x1, 0xc6, 0xf0, 0xc7, 0x49, 0x67, 0x3a, 0x29, 0x10, 0x25, 0xc, 0x2e, 0x23, 0xcb, 0x38, 0x27, 0x4d, 0x63, 0xb4, 0x2f, 0x52, 0x1b, 0x84, 0x63, 0x56, 0xe4, 0x13, 0x61, 0x8f} }, + { (uint64_t)100000000000ull, {0x9, 0x42, 0x84, 0x3d, 0x6f, 0x69, 0xe1, 0xcf, 0x3d, 0x99, 0xc9, 0x9f, 0xc, 0x97, 0xc0, 0xe6, 0xe5, 0x78, 0x93, 0x5a, 0xf6, 0xa8, 0xbd, 0xb8, 0xf8, 0x1d, 0x5b, 0x90, 0xbd, 0xe7, 0xcc, 0x10} }, + { (uint64_t)200000000000ull, {0x56, 0x4c, 0x64, 0xea, 0x50, 0xe4, 0xbd, 0x20, 0xdb, 0x58, 0x5d, 0xb5, 0x87, 0xb1, 0xf7, 0x64, 0xa2, 0x62, 0xd8, 0x46, 0xa6, 0xb0, 0xa2, 0x4b, 0x43, 0x27, 0x60, 0xd2, 0xf9, 0xde, 0x66, 0x5b} }, + { (uint64_t)300000000000ull, {0xac, 0x65, 0x83, 0x41, 0x5b, 0xd6, 0x4c, 0x3, 0x35, 0x97, 0xf9, 0x28, 0xa4, 0xb5, 0xd4, 0xf4, 0x78, 0x9e, 0xa8, 0xb2, 0x87, 0x82, 0x73, 0x89, 0xa8, 0x1e, 0xb6, 0x62, 0x9e, 0xc5, 0xb8, 0x50} }, + { (uint64_t)400000000000ull, {0x52, 0xf4, 0x9d, 0x89, 0xcf, 0x74, 0x13, 0x2f, 0xc7, 0x43, 0x2e, 0x6a, 0x6b, 0xef, 0xcf, 0xf3, 0xfd, 0x13, 0xd6, 0x3b, 0x51, 0x60, 0xab, 0x1c, 0xe6, 0x4a, 0xb0, 0xd1, 0x21, 0xcd, 0xa9, 0x9a} }, + { (uint64_t)500000000000ull, {0xe9, 0xaa, 0x7c, 0x81, 0xcd, 0xb5, 0xb3, 0x14, 0x8f, 0xb7, 0x62, 0x80, 0x63, 0xcd, 0x7a, 0x7, 0xd1, 0xad, 0xd1, 0x64, 0x3c, 0xed, 0xd3, 0xfa, 0x34, 0x47, 0x9d, 0x85, 0x9c, 0xc5, 0x62, 0x65} }, + { (uint64_t)600000000000ull, {0x98, 0x27, 0xae, 0x31, 0xe5, 0xc2, 0xa7, 0x78, 0x39, 0xf6, 0xb, 0x83, 0xab, 0x45, 0x78, 0xe2, 0xa0, 0x1e, 0xfa, 0x4b, 0x3b, 0x14, 0xcc, 0x72, 0x73, 0x14, 0xff, 0xd7, 0x15, 0x53, 0x63, 0xbf} }, + { (uint64_t)700000000000ull, {0x72, 0x91, 0x6a, 0x79, 0x27, 0xff, 0x13, 0x24, 0xd4, 0x98, 0x40, 0xec, 0xc0, 0x98, 0x68, 0xb8, 0xf3, 0x15, 0xe4, 0xf1, 0xf6, 0xd4, 0x45, 0x8d, 0x37, 0x5e, 0xc7, 0x45, 0xfc, 0x2e, 0x63, 0x53} }, + { (uint64_t)800000000000ull, {0x66, 0x76, 0xe0, 0x4, 0xf, 0xa4, 0xb8, 0x22, 0x9c, 0x61, 0x69, 0xc, 0x71, 0x32, 0x22, 0xcf, 0x3d, 0x37, 0xb9, 0x49, 0x3b, 0x49, 0x6, 0x80, 0xbb, 0x48, 0xd8, 0xd5, 0x1a, 0xde, 0x95, 0xf2} }, + { (uint64_t)900000000000ull, {0x41, 0x54, 0xb3, 0x46, 0x5a, 0x43, 0x72, 0x67, 0x1e, 0xa9, 0xe0, 0x64, 0xa7, 0xca, 0xa6, 0x6e, 0x14, 0xb4, 0x98, 0x6a, 0x46, 0x68, 0x91, 0x8a, 0xfa, 0x57, 0x9b, 0xf1, 0xed, 0x25, 0x6, 0xdd} }, + { (uint64_t)1000000000000ull, {0xbb, 0x6f, 0x70, 0x62, 0xca, 0x30, 0x6d, 0x67, 0x2a, 0x73, 0xe, 0x2a, 0x2f, 0x21, 0x9b, 0xdb, 0xe4, 0xc, 0x9f, 0xb3, 0xfe, 0x4d, 0x60, 0x13, 0x69, 0x2a, 0xf9, 0x3c, 0xdb, 0x2e, 0xc, 0xd1} }, + { (uint64_t)2000000000000ull, {0xbc, 0xe, 0xae, 0x5b, 0x9c, 0x6a, 0xd6, 0x38, 0x7a, 0x41, 0x19, 0x3c, 0x46, 0xf3, 0xc1, 0xd0, 0x71, 0x6d, 0x77, 0xd6, 0x4e, 0x22, 0xb2, 0xe0, 0x7b, 0x4b, 0xce, 0x75, 0x67, 0x65, 0xa2, 0xb} }, + { (uint64_t)3000000000000ull, {0x10, 0xc, 0x6f, 0x13, 0x42, 0xb7, 0x1b, 0x73, 0xed, 0xdd, 0xc5, 0x49, 0x2b, 0xe9, 0x23, 0x18, 0x2f, 00, 0xa6, 0x83, 0x48, 0x8e, 0xc3, 0xa2, 0xa1, 0xc7, 0xa9, 0x49, 0xcb, 0xe5, 0x77, 0x68} }, + { (uint64_t)4000000000000ull, {0x41, 0x9f, 0x7c, 0x94, 0x91, 0x4, 0x34, 0xf, 0xd3, 0xce, 0x85, 0x94, 0x8d, 0x2e, 0xf9, 0xf0, 0xdd, 0x4b, 0xb3, 0xd9, 0x2f, 0x5a, 0x78, 0x2c, 0x5f, 0x78, 0x4, 0xb7, 0x52, 0x9a, 0x13, 0xc6} }, + { (uint64_t)5000000000000ull, {0x40, 0x65, 0x34, 0x98, 0xbe, 0xa0, 0x22, 0xe3, 0x36, 0x5a, 0x3, 0xe5, 0x75, 0x25, 0xba, 0x65, 0x96, 0x53, 0x76, 0x24, 0x4f, 0xff, 0x10, 0x73, 0xe, 0xd9, 0x7a, 0x73, 0xb7, 0x53, 0x1, 0x91} }, + { (uint64_t)6000000000000ull, {0xdb, 0x1c, 0x7c, 0xf6, 0x8, 0x91, 0xf9, 0x65, 0xeb, 0xa9, 0xc6, 0x2, 0x24, 00, 0x63, 0xe, 00, 0x47, 0x95, 0x34, 0xe6, 0xf5, 0xb5, 0x33, 0xdc, 0xfc, 0x83, 0x19, 0x38, 0x52, 0x2c, 0x78} }, + { (uint64_t)7000000000000ull, {0x59, 0xa0, 0x3a, 0x31, 0x53, 0xa9, 0x94, 0xd7, 0x23, 0x27, 0xe4, 0xd9, 0x24, 0x21, 0xd3, 0xe3, 0x29, 0x1b, 0x1f, 0xa1, 0xb2, 0x40, 0xde, 0x44, 0xb9, 0x2d, 0x7f, 0x62, 0xec, 0x1, 0x28, 0xf1} }, + { (uint64_t)8000000000000ull, {0xb2, 0x80, 0xb9, 0x3b, 0x1e, 0x43, 0x88, 00, 0x73, 0xea, 0x4a, 0xa0, 0xef, 0x11, 0x4, 0xf8, 0x24, 0xbd, 0x12, 0x7a, 0x4a, 0x3d, 0xa2, 0x13, 0x92, 0x65, 0xf, 0xe8, 0xc6, 0x55, 0xb6, 0xc5} }, + { (uint64_t)9000000000000ull, {0xda, 0xf0, 0xd3, 0xe9, 0x32, 0x17, 0xd8, 0xe9, 0x5a, 0xbf, 0xdd, 0xf1, 0x3b, 0x7f, 0xd4, 0x8e, 0x34, 0x47, 0xad, 0x9, 0x23, 0x26, 0xb8, 0x99, 0xed, 0x58, 0x1f, 0xd5, 0xf8, 0x6, 0xc5, 0x6} }, + { (uint64_t)10000000000000ull, {0x16, 0x3d, 0xd6, 0x82, 0xec, 0x97, 0x7c, 0xdd, 0xa5, 0x95, 0x31, 0xda, 0x3f, 0xfa, 0x72, 0x99, 0x8a, 0x6f, 0x88, 0x37, 0xab, 0xad, 0xc6, 0x36, 0xaa, 0xed, 0xc8, 0xbe, 0x19, 0xb2, 0xd7, 0xc7} }, + { (uint64_t)20000000000000ull, {0x2, 0xfa, 0x35, 0x3a, 0xa8, 0x4e, 0xa8, 0xc4, 0x4c, 0x80, 0x23, 0x6, 0x5d, 0x79, 0x41, 0x60, 0x6b, 0x1f, 0xa5, 0xc2, 0x64, 0xdc, 0xcf, 0x46, 0xdc, 0x64, 0x94, 0xeb, 0xe9, 0x60, 0x6f, 0x20} }, + { (uint64_t)30000000000000ull, {0x87, 0x5, 0xd, 0xab, 0xf5, 0xb2, 0x3e, 0x8b, 0x79, 0x81, 0x3f, 0x4e, 0xd7, 0x6a, 0xa4, 0xad, 0xd2, 0x25, 0xdd, 0x2a, 0x50, 0x89, 0xaf, 0x6, 0x7d, 0xa7, 0x7c, 0xcb, 0x6e, 0xc5, 0x59, 0x46} }, + { (uint64_t)40000000000000ull, {0xaa, 0xe6, 0xb2, 0xc8, 0xa2, 0x9e, 0x4d, 0xbc, 0x63, 0x76, 0xc1, 0x72, 0x5, 0xfb, 0x2, 0x85, 0xe7, 0xd7, 0xd3, 0x25, 0x32, 0x3c, 0xd5, 0x26, 0xf, 0x98, 0xad, 0xff, 0xf7, 0xd4, 0xd4, 0xfb} }, + { (uint64_t)50000000000000ull, {0x9d, 0x79, 0x28, 0x82, 0x12, 0xa1, 0xe2, 0x3c, 0x9, 0x9f, 0xb2, 0xd8, 0xf0, 0xd0, 0xdb, 0xd3, 0xc2, 0xec, 0xd7, 0x58, 0xb9, 0xe6, 0xb5, 0xb4, 0xf2, 0x90, 0x60, 0x7, 0x9f, 0x19, 0x66, 0x9f} }, + { (uint64_t)60000000000000ull, {0x18, 0x90, 0x10, 0x6f, 0x1b, 0x97, 0xbc, 0x2d, 0xa, 0xe3, 0x96, 0xe5, 0xe5, 0x5e, 0xbf, 0xcc, 0x8e, 0xf6, 0x91, 0x7f, 0xb1, 0x96, 0xcb, 0x2b, 0x1e, 0x80, 0x25, 0x5d, 0x54, 0xb6, 0x87, 0x10} }, + { (uint64_t)70000000000000ull, {0x57, 0xd3, 0x4e, 0xf7, 0x54, 0x3b, 0xe4, 0x7b, 0x7b, 0xf4, 0x97, 0xce, 0x4a, 0x17, 0x6e, 0x78, 0xc6, 0xd6, 0x5c, 0xd3, 0x27, 0xf6, 0x4b, 0xa7, 0x5c, 0x27, 0xd1, 0x57, 0xb3, 0x37, 0x12, 0x5d} }, + { (uint64_t)80000000000000ull, {0x5e, 0xcb, 0x10, 0x15, 0x4b, 0x96, 0xca, 0xb5, 0x5e, 0x9, 0x46, 0x83, 0xf8, 0xdb, 0xff, 0x7f, 0x56, 0x63, 0x5f, 0xa6, 0x64, 0x97, 0xee, 0x9e, 0x24, 0xe, 0x83, 0x63, 0x7c, 0x7c, 0x87, 0x72} }, + { (uint64_t)90000000000000ull, {0x42, 0x32, 0x69, 0x98, 0x51, 0x30, 0xf1, 0x66, 0x51, 0x6a, 0x5b, 0xa8, 0x61, 0x9, 0x6d, 0x72, 0xec, 0xcc, 0x67, 0xad, 0xab, 0xa4, 0x5e, 0xb3, 0x73, 0x9a, 0xe, 0xbc, 0x61, 0xa3, 0x20, 0xae} }, + { (uint64_t)100000000000000ull, {0xa8, 0xd1, 0x60, 0x95, 0x91, 0x49, 0x8f, 0xa7, 0xc2, 0x94, 0x27, 0xad, 0x89, 0x31, 0xaf, 0x36, 0xc5, 0x2d, 0xc9, 0x7b, 0x4a, 0x11, 0xe7, 0x47, 0xa9, 0x56, 0xc2, 0x8c, 0x42, 0x54, 0xcf, 0xd4} }, + { (uint64_t)200000000000000ull, {0x23, 0x14, 0x49, 00, 0xa8, 0x66, 0xe8, 0xc1, 0xbf, 0x40, 0x98, 0xda, 0xa9, 0x48, 0xb9, 0x86, 0xf3, 0x84, 0xe, 0x5a, 0x7d, 0x21, 0x5e, 0xf0, 0xd5, 0x64, 0xef, 0xd8, 0xbe, 0xc6, 0x83, 0x15} }, + { (uint64_t)300000000000000ull, {0x6a, 0x51, 0x47, 0x3c, 0x86, 0xed, 0xad, 0x53, 0x51, 0x4b, 0x3f, 0x95, 0x97, 0xed, 0x21, 0xae, 00, 0x81, 0x51, 0xa0, 0x9e, 0x43, 0xad, 0xdd, 0x45, 0xd1, 0x74, 0x63, 0xc5, 0x34, 0x3, 0x97} }, + { (uint64_t)400000000000000ull, {0x8, 0xbd, 0xd4, 0xc3, 0xe4, 0x53, 0x1b, 0x29, 0x7a, 0x70, 00, 0x1e, 0xb8, 0xa4, 0xf1, 0x98, 0xdc, 0x3b, 0xd4, 0xf1, 0xf5, 0x60, 0x9a, 0xda, 0x98, 0xf6, 0xd9, 0x5f, 0x9a, 0x1a, 0x30, 0x2e} }, + { (uint64_t)500000000000000ull, {0x97, 0x55, 0x70, 0xea, 0x12, 0xde, 0x5a, 0xf5, 0xc5, 0x36, 0xbd, 0xb6, 0x83, 0x54, 0xfb, 0xc8, 0x32, 0x21, 0x50, 0xfc, 0x56, 0x83, 0x7c, 0x4b, 0x78, 0xa9, 0x85, 0x76, 0x5d, 0x2a, 0x70, 0x99} }, + { (uint64_t)600000000000000ull, {0xa7, 0xa6, 0x39, 0x93, 0x41, 0xcb, 0x4d, 0x67, 0x76, 0xcd, 0x94, 0xd, 0x1d, 0x6a, 0xb0, 0xac, 0xa, 0xbf, 0x56, 0x93, 0x6a, 0x35, 0x31, 0xdf, 0xe9, 0x6c, 0x23, 0x69, 0x97, 0x8e, 0x49, 0xfa} }, + { (uint64_t)700000000000000ull, {0x55, 0x9, 0x3e, 0x5e, 0xeb, 0xca, 0x3, 0x88, 0x48, 0xdc, 0x99, 0x7e, 0x31, 0x95, 0xec, 0xc5, 0x8f, 0xb4, 0xa5, 0x71, 0xb9, 0x52, 0x56, 0xc0, 0xff, 0x49, 0xbe, 0xd0, 0xf1, 0x65, 0x22, 0xbd} }, + { (uint64_t)800000000000000ull, {0xbb, 0xc6, 0x18, 0x2, 0x24, 0xaf, 0xd3, 0x38, 0xa6, 0xf4, 0xa0, 0x6b, 0x11, 0x98, 0x40, 0x68, 0xeb, 0x36, 0x35, 0xe7, 0xe5, 0x47, 0x66, 0x69, 0x78, 0x83, 0xaf, 0xbd, 0xce, 0xad, 0x2f, 0x31} }, + { (uint64_t)900000000000000ull, {0x61, 0x3a, 0xa1, 0x2c, 0xc0, 0xa1, 0x9b, 0xc8, 0x43, 0x63, 0x50, 0xbb, 0xc0, 0xf6, 0x16, 0x32, 0x6e, 0x64, 0x85, 0x83, 0x33, 0x4a, 0x32, 0x65, 0x16, 0x29, 0xe9, 0x5, 0xc5, 0x20, 0x62, 0x69} }, + { (uint64_t)1000000000000000ull, {0x52, 0xdd, 0xf8, 0x81, 0x13, 0xa0, 0xfc, 0xf2, 0x12, 0x90, 0x95, 0xc6, 0x18, 0x91, 0xbe, 0x88, 0x5c, 0x9, 0x30, 0x8, 0xeb, 0xc4, 0x65, 0xc, 0xb0, 0xee, 0xa5, 0x60, 0xcd, 0x4d, 0x75, 0x1b} }, + { (uint64_t)2000000000000000ull, {0x75, 0xbd, 0xfc, 0x35, 0xa6, 0xdf, 0x76, 0xe5, 0x98, 0x8e, 0xd9, 0xe3, 0x10, 0xa5, 0x89, 0x16, 0xae, 0xf0, 0xc5, 0xf0, 0x5b, 0x89, 0x22, 0xea, 0xae, 0x2c, 0xf9, 0x8f, 0x58, 0x42, 0x3c, 0xe3} }, + { (uint64_t)3000000000000000ull, {0x88, 0x98, 0x93, 0xe8, 0x7d, 0x56, 0x9f, 0x14, 0xb2, 0x48, 0xd1, 0xed, 0x93, 0xe8, 0xce, 0x60, 0xbb, 0xe3, 0x73, 0x69, 0xb0, 0xd6, 0xc7, 0xa1, 0x86, 0x89, 0x33, 0xd3, 0xc3, 0xda, 0x9a, 0x72} }, + { (uint64_t)4000000000000000ull, {0x88, 0x3e, 0xf3, 0x4b, 0xa2, 0xc1, 0x91, 0xf4, 0x9d, 0x3c, 0xc6, 0xad, 0xa0, 0xaf, 0xf1, 0xcf, 0xb1, 0x77, 0xbd, 0x9e, 0xd4, 0xb3, 0xa5, 0x37, 0x84, 0xb7, 0xf1, 0x62, 0x9b, 0xed, 0x17, 0x41} }, + { (uint64_t)5000000000000000ull, {0xa2, 0x90, 0x7c, 0x39, 0x84, 0xb1, 0x4a, 0xb1, 0xf4, 0xda, 0x58, 0xc2, 0xc8, 0x2d, 0x6b, 0x24, 0xf1, 0x29, 0x49, 0x9, 0x75, 0xfc, 0x4a, 0x33, 0x3d, 0x25, 0xa1, 0xf9, 0x2b, 0xc4, 0x32, 0xb6} }, + { (uint64_t)6000000000000000ull, {0xa0, 0x7d, 0x9f, 0x18, 0x95, 0x1f, 0xf2, 0x32, 0xcf, 0x4e, 0xc0, 0xee, 0x2f, 0xbc, 0xc3, 0xe1, 0x1b, 0x2c, 0xaf, 0xc9, 0x57, 0x65, 0x82, 0x10, 0x38, 0x1e, 0x3e, 0xe4, 0xed, 0xec, 0x2e, 0x7a} }, + { (uint64_t)7000000000000000ull, {0x66, 0x80, 0x21, 0xd5, 0xde, 0x8c, 0xa4, 0xc1, 0x8f, 0x5a, 0x74, 0xf2, 0x78, 0x69, 0xc4, 0xd6, 0xd4, 0x93, 0xa3, 0x30, 0x39, 0x3c, 0xf0, 0x26, 0x41, 0xff, 0xa8, 0x56, 0x7b, 0xa5, 0x36, 0x20} }, + { (uint64_t)8000000000000000ull, {0xe0, 0x48, 0x7a, 0xc4, 0x5a, 0x82, 0x59, 0xe3, 0xe5, 0xf2, 0xd9, 0xb8, 0xf6, 0xb8, 0xfa, 0x26, 0x9a, 0x63, 0x49, 0x71, 0xa2, 0xf7, 0xc2, 0x1a, 0x54, 0x17, 0x76, 0x81, 0xeb, 0x2, 0xbd, 0x4a} }, + { (uint64_t)9000000000000000ull, {0x98, 0x92, 0x6a, 0x3a, 0xf0, 0x5b, 0xf4, 0xa9, 0x8d, 0xf9, 0xf6, 0x4a, 0xe7, 0xb9, 0xda, 0x45, 0xa7, 0x6, 0xc3, 0xf8, 0x39, 0x5e, 0x47, 0x1f, 0x96, 0xed, 0x3c, 0x6, 0x6, 0xbe, 0xbb, 0x71} }, + { (uint64_t)10000000000000000ull, {0x80, 0xad, 0xb7, 0xd, 0x46, 0xf6, 0x3a, 0x75, 0x64, 0xa3, 0xf6, 0x71, 0xd9, 0xba, 0x95, 0x71, 0xb7, 0xf7, 0x95, 0xa9, 0x63, 0x38, 0x2a, 0x4d, 0x9f, 0xaf, 0x2d, 0x54, 0xf6, 0xc6, 0x84, 0x29} }, + { (uint64_t)20000000000000000ull, {0xae, 0xbd, 0x97, 0x42, 0x1f, 0x3f, 0xca, 0xe8, 0x95, 0x18, 0x60, 0xe6, 0xd9, 0xd1, 0xf3, 0xec, 0x59, 0x73, 0xa2, 0xf7, 0x66, 0x88, 0x4b, 0xfe, 0x17, 0x50, 0x79, 0x51, 0xe4, 0x62, 0xc6, 0x63} }, + { (uint64_t)30000000000000000ull, {0x61, 0x2, 0x6c, 0x84, 0x2a, 0x6a, 0x22, 0x25, 0x74, 0x6b, 0x19, 0x6b, 0x56, 0x89, 0xe1, 0x18, 0xf5, 0x41, 0x34, 0x15, 0x98, 0x1d, 0x7, 0x73, 0x62, 0xb2, 0xe7, 0xb9, 0xac, 0xa5, 0x28, 0x16} }, + { (uint64_t)40000000000000000ull, {0x52, 0x54, 0xb5, 0x78, 0xe8, 0x57, 0x9a, 0x27, 0x3b, 0x89, 0x8e, 0x65, 0x9d, 0xd3, 0xe1, 0xa1, 0xcf, 0xba, 0x12, 0x47, 0x26, 0x64, 0xbd, 0x4e, 0x7f, 0x9a, 0x13, 0xb1, 0xfc, 0xee, 0x2, 0x93} }, + { (uint64_t)50000000000000000ull, {0x7b, 0x2a, 0xb, 00, 0xcf, 0xdc, 0xa9, 0x51, 0x46, 0xcf, 0x80, 0x95, 0xdd, 0x2b, 0x82, 0x90, 0x91, 0xb0, 0xf2, 0xd5, 0xbb, 0xc, 0x33, 0x82, 0x2d, 0x8b, 0x43, 0x42, 0x69, 0xcd, 0x2a, 0x42} }, + { (uint64_t)60000000000000000ull, {0x21, 0x57, 0x4f, 0xed, 0x15, 0x1a, 0x2f, 0x9f, 0x64, 0xa4, 0x5b, 0xe2, 0x8a, 0x3a, 0xf5, 0x88, 0xe9, 0xf2, 0xd1, 0x71, 0x35, 0xa3, 0x53, 0x7f, 0x7, 0xfd, 0x6a, 0xef, 0xa2, 0x9f, 0x2, 0xaf} }, + { (uint64_t)70000000000000000ull, {0x1a, 0xf2, 0x41, 0xe1, 0x38, 0x27, 0x98, 0x29, 0xac, 0x6a, 0xe6, 0x2f, 0xf, 0x33, 0x20, 0x4b, 0xb2, 0x8a, 0xfd, 0x6, 0x5c, 0x42, 0x59, 0x3b, 0xdc, 0x79, 0x14, 0x85, 0x97, 0x5b, 0x26, 0x95} }, + { (uint64_t)80000000000000000ull, {0xa8, 0xc8, 0xb8, 0x7b, 0x51, 0x2d, 0xef, 0x9b, 0x5e, 0x50, 0xe, 0xb4, 0x98, 0xaf, 0x86, 0xaa, 0xd2, 0x46, 0x4a, 0xea, 0xe7, 0x6d, 0xb1, 0xf6, 0x5d, 0x23, 0x26, 0xce, 0x90, 0x26, 0xec, 0x69} }, + { (uint64_t)90000000000000000ull, {0x3d, 0x78, 0x73, 0x63, 0x95, 0xf1, 0xd7, 0xde, 0x8e, 0x16, 0xc0, 0xb5, 0xa9, 0x9f, 0x4d, 0xc4, 0xeb, 0x8f, 0x22, 0xac, 0xc1, 0x5b, 0x21, 0x42, 0x44, 0x1d, 0xbd, 0x8d, 0x2c, 0x31, 0xb9, 0xce} }, + { (uint64_t)100000000000000000ull, {0x27, 0x27, 0xd4, 0x93, 0x2f, 0x98, 0x39, 0xe4, 0x3b, 0x6b, 0xf5, 0xfb, 0x29, 0xa3, 0xbe, 0x4c, 0x9, 0xb, 0x6e, 0xb9, 0x31, 00, 0xbb, 0x92, 0x58, 0x1a, 0xdb, 0x8d, 0xd2, 0xb6, 0x61, 0x54} }, + { (uint64_t)200000000000000000ull, {0xae, 0x96, 0x78, 0x2e, 0xf2, 0xc4, 0xdf, 0x7d, 0x2e, 0x4, 0xcc, 0xf9, 0xef, 0x76, 0x23, 0x7f, 0x17, 0xc, 0x97, 0x3, 0xb4, 0x92, 0xc0, 0x78, 0x52, 0x6e, 0xb1, 0xf6, 0x85, 0x3d, 0xb1, 0x33} }, + { (uint64_t)300000000000000000ull, {0x17, 0x43, 0xfe, 0xab, 0x12, 0xad, 0xe5, 0xfe, 0x12, 0x53, 0x22, 0x27, 0x2f, 0xd1, 0x40, 0x6b, 0x74, 0xe8, 0x19, 0x70, 0x32, 0x68, 0x46, 0x22, 0xee, 0x79, 0xab, 0xcd, 0x94, 0x93, 0x66, 0x4c} }, + { (uint64_t)400000000000000000ull, {0x7, 0x9b, 0xf2, 0xa9, 0x6e, 0x16, 0x6e, 0xf9, 0xe6, 0xb2, 0x23, 0x1d, 0xb9, 0x85, 0x8b, 0x99, 0x98, 0x7f, 0x49, 0x33, 0x87, 0xde, 0xeb, 0xd5, 0x17, 0x48, 0x54, 0x9a, 0xd, 0xf7, 0xdc, 0x44} }, + { (uint64_t)500000000000000000ull, {0xca, 0xba, 0x97, 0x98, 0x51, 0x6d, 0xad, 0x3, 0x38, 0xd0, 0x6e, 0x10, 0x6d, 0x76, 0xa2, 0x1, 0x93, 0x7a, 0xce, 0x4c, 0x91, 0x53, 0x9e, 0x61, 0x7d, 0x89, 0x28, 0x73, 0x6, 0xa3, 0x92, 0xb1} }, + { (uint64_t)600000000000000000ull, {0x6b, 0x8, 0x7f, 0x48, 0xb3, 0xd7, 0xaa, 0xc9, 0x57, 0xc4, 0x52, 0xe5, 0x1a, 0x18, 0xd7, 0x26, 0xb, 0xf8, 0xc8, 0x56, 0xc4, 0xc7, 0x1e, 0x48, 0xf6, 0x49, 0xae, 00, 0x4a, 0xf6, 0x8f, 0x13} }, + { (uint64_t)700000000000000000ull, {0x9e, 0xed, 0x8b, 0x23, 0x1f, 0x79, 0x4c, 0x46, 0x5c, 0xbe, 0x88, 0x40, 0xd0, 0xf1, 0x6f, 0x7b, 0x9f, 0x9c, 0x6e, 0xb4, 0x9c, 0x20, 0x7d, 0xe9, 0xd8, 0x55, 0x11, 0x83, 0xd0, 0xc7, 0x6e, 0x43} }, + { (uint64_t)800000000000000000ull, {0x58, 0x4a, 0x78, 0x93, 0x13, 0x7e, 0xbd, 0x2, 0x8b, 0xa7, 0x59, 0x82, 0xc3, 0x39, 0xb7, 0x66, 0xaa, 0xda, 0xad, 0xf9, 0x14, 0x50, 0xf9, 0x40, 0x7d, 0x2a, 0x97, 0xd7, 0xf6, 0xb1, 0x93, 0x5e} }, + { (uint64_t)900000000000000000ull, {0x7, 0xce, 0x54, 0xb1, 0x18, 0x26, 0xa1, 0x75, 0x23, 0x13, 0x55, 0x1a, 00, 0x20, 0xfd, 0x79, 0x8a, 00, 0x9e, 0x20, 0xcd, 0xb2, 0x40, 0x1d, 0x52, 0x51, 0xc1, 0x55, 0x8e, 0xea, 0xd2, 0x6c} }, + { (uint64_t)1000000000000000000ull, {0x39, 0x80, 0x7f, 0x3d, 0xce, 0xb0, 0xa6, 0xfe, 0x34, 0xa7, 0xa1, 0xed, 0xc6, 0x9b, 0x78, 0xff, 0xbe, 0xd5, 0xa7, 0x8c, 0x6c, 0x87, 0x5d, 0xda, 0x96, 0x69, 0xdb, 0xb2, 0x95, 0x70, 0xf0, 0xf4} }, + { (uint64_t)2000000000000000000ull, {0xda, 0x74, 00, 0x86, 0xf1, 0x5c, 0xe8, 0x21, 0xe9, 0xd, 0x50, 0xaf, 0xcf, 0x80, 0x9c, 0x7e, 0x18, 0x51, 0x90, 0x1b, 0xa3, 0x5f, 0x9f, 0x63, 0x78, 0xd6, 0x40, 0x7c, 0xb9, 0xc7, 0xa2, 0x75} }, + { (uint64_t)3000000000000000000ull, {0x7, 0xa1, 0x75, 0x63, 0xae, 0xf5, 0xcf, 0xd0, 0x36, 0xfa, 0x64, 0xd4, 0xb1, 0x97, 0xa9, 0x51, 0xc0, 0xd2, 0x87, 0x2b, 0xd, 0xb6, 0xf9, 0xbe, 0x47, 0xe6, 0x7c, 0xa6, 0xb5, 0x35, 0xe2, 0x6e} }, + { (uint64_t)4000000000000000000ull, {0xe3, 0x49, 0xf7, 0xeb, 0xe5, 0x11, 0x39, 0xfe, 0xd5, 0x69, 0x40, 0x37, 0xd1, 0x14, 0xb7, 0xbd, 0x45, 0xdd, 0xa, 0x6a, 0xf0, 0x4b, 0x62, 0xec, 0xa4, 0xd8, 0xcd, 0x55, 0x2a, 0x14, 0xe3, 0xfb} }, + { (uint64_t)5000000000000000000ull, {0x8d, 0x59, 0x7e, 0xa9, 0xf5, 0x79, 0x9a, 0x4d, 0x15, 0x3d, 0x82, 0xd6, 0xf7, 0xbe, 0xa0, 0x2e, 0x52, 0x40, 0xa2, 0xc8, 0x9b, 0x4, 0x1e, 0x6, 0x2f, 0x37, 0xbc, 0x7b, 0x82, 0xa0, 0xac, 0x55} }, + { (uint64_t)6000000000000000000ull, {0xa3, 0x43, 0xa7, 0xe1, 0x14, 0x4d, 0x33, 0x50, 0xf, 0x3e, 0xfd, 0x38, 0x15, 0x82, 0xdd, 0xc5, 0xd0, 0x18, 0x3e, 0x5d, 0xcf, 0x8a, 0xfa, 0x64, 0xbb, 0x67, 0x6c, 0x97, 0x3e, 0x3d, 0x1a, 0xb1} }, + { (uint64_t)7000000000000000000ull, {0x89, 0xe9, 0x3e, 0xe9, 0xf2, 0x4d, 0x72, 0x61, 0xe5, 0x44, 0xca, 0x8f, 0x9, 0xa7, 0x40, 0x4e, 0xe3, 0xa9, 0xe, 0xe2, 0x50, 0x7d, 0xda, 0xcf, 0x41, 0x2a, 0x58, 0xc, 0x9, 0x65, 0x1c, 0x53} }, + { (uint64_t)8000000000000000000ull, {0xc5, 0x94, 0x10, 0x81, 0x54, 0x69, 0xf4, 0x59, 0xd1, 0x5a, 0x6f, 0xe3, 0xf2, 0xa1, 0x1b, 0xa6, 0x31, 0x12, 0xfa, 0xaa, 0xc5, 0x3d, 0xbc, 0x52, 0x5d, 0x3c, 0xfa, 0xb1, 0xfa, 0x9c, 0x3d, 0xdb} }, + { (uint64_t)9000000000000000000ull, {0x9d, 0xe7, 0xcb, 0xb, 0x8d, 0x7b, 0xac, 0x47, 0xff, 0xd3, 0x93, 0x1b, 0xcd, 0x82, 0xcd, 0xd5, 0x35, 0xc, 0x29, 0x34, 0xb1, 0x6e, 0xb, 0x64, 0x32, 0xab, 0xf7, 0xcb, 0x4b, 0x5c, 0x37, 0x6d} }, + { (uint64_t)10000000000000000000ull, {0x65, 0x8d, 0x1, 0x37, 0x6d, 0x18, 0x63, 0xe7, 0x7b, 0x9, 0x6f, 0x98, 0xe6, 0xe5, 0x13, 0xc2, 0x4, 0x10, 0xf5, 0xc7, 0xfb, 0x18, 0xa6, 0xe5, 0x9a, 0x52, 0x66, 0x84, 0x5c, 0xd9, 0xb1, 0xe3} }, +}; + namespace rct { //Various key initialization functions @@ -143,6 +321,14 @@ namespace rct { } key zeroCommit(xmr_amount amount) { + const zero_commitment *begin = zero_commitments; + const zero_commitment *end = zero_commitments + sizeof(zero_commitments) / sizeof(zero_commitments[0]); + const zero_commitment value{amount, rct::zero()}; + const auto it = std::lower_bound(begin, end, value, [](const zero_commitment &e0, const zero_commitment &e1){ return e0.amount < e1.amount; }); + if (it != end && it->amount == amount) + { + return it->commitment; + } key am = d2h(amount); key bH = scalarmultH(am); return addKeys(G, bH); diff --git a/tests/performance_tests/crypto_ops.h b/tests/performance_tests/crypto_ops.h index 3c68583c5..25ab008db 100644 --- a/tests/performance_tests/crypto_ops.h +++ b/tests/performance_tests/crypto_ops.h @@ -40,6 +40,7 @@ enum test_op op_sc_mul, op_ge_add_raw, op_ge_add_p3_p3, + op_zeroCommitCached, ops_fast, op_addKeys, @@ -54,6 +55,7 @@ enum test_op op_addKeys3, op_addKeys3_2, op_isInMainSubgroup, + op_zeroCommitUncached, }; template @@ -108,6 +110,8 @@ public: case op_addKeys3: rct::addKeys3(key, scalar0, point0, scalar1, precomp1); break; case op_addKeys3_2: rct::addKeys3(key, scalar0, precomp0, scalar1, precomp1); break; case op_isInMainSubgroup: rct::isInMainSubgroup(point0); break; + case op_zeroCommitUncached: rct::zeroCommit(9001); break; + case op_zeroCommitCached: rct::zeroCommit(9000); break; default: return false; } return true; diff --git a/tests/performance_tests/main.cpp b/tests/performance_tests/main.cpp index 87a1573c2..3c71cb99f 100644 --- a/tests/performance_tests/main.cpp +++ b/tests/performance_tests/main.cpp @@ -256,6 +256,8 @@ int main(int argc, char** argv) TEST_PERFORMANCE1(filter, p, test_crypto_ops, op_addKeys3); TEST_PERFORMANCE1(filter, p, test_crypto_ops, op_addKeys3_2); TEST_PERFORMANCE1(filter, p, test_crypto_ops, op_isInMainSubgroup); + TEST_PERFORMANCE1(filter, p, test_crypto_ops, op_zeroCommitUncached); + TEST_PERFORMANCE1(filter, p, test_crypto_ops, op_zeroCommitCached); TEST_PERFORMANCE2(filter, p, test_multiexp, multiexp_bos_coster, 2); TEST_PERFORMANCE2(filter, p, test_multiexp, multiexp_bos_coster, 4); diff --git a/tests/unit_tests/ringct.cpp b/tests/unit_tests/ringct.cpp index 3877ef785..52bdb00cf 100644 --- a/tests/unit_tests/ringct.cpp +++ b/tests/unit_tests/ringct.cpp @@ -1086,6 +1086,25 @@ TEST(ringct, zeroCommmit) ASSERT_EQ(z, manual); } +static rct::key uncachedZeroCommit(uint64_t amount) +{ + const rct::key am = rct::d2h(amount); + const rct::key bH = rct::scalarmultH(am); + return rct::addKeys(rct::G, bH); +} + +TEST(ringct, zeroCommitCache) +{ + ASSERT_EQ(rct::zeroCommit(0), uncachedZeroCommit(0)); + ASSERT_EQ(rct::zeroCommit(1), uncachedZeroCommit(1)); + ASSERT_EQ(rct::zeroCommit(2), uncachedZeroCommit(2)); + ASSERT_EQ(rct::zeroCommit(10), uncachedZeroCommit(10)); + ASSERT_EQ(rct::zeroCommit(200), uncachedZeroCommit(200)); + ASSERT_EQ(rct::zeroCommit(1000000000), uncachedZeroCommit(1000000000)); + ASSERT_EQ(rct::zeroCommit(3000000000000), uncachedZeroCommit(3000000000000)); + ASSERT_EQ(rct::zeroCommit(900000000000000), uncachedZeroCommit(900000000000000)); +} + TEST(ringct, H) { ge_p3 p3; -- cgit v1.2.3