go-ethereum/core/vm/contracts.go
Marius van der Wijden b381804eb1
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core/vm: switch modexp gas computation to uint64 (#32527)
supersedes https://github.com/ethereum/go-ethereum/pull/32508/files
and builts on top of https://github.com/ethereum/go-ethereum/pull/32184

looks like a ~60% decrease in allocations / op and ~20% speed increase
(very variable, between 2-200%)

```
goos: linux
goarch: amd64
pkg: github.com/ethereum/go-ethereum/core/vm
cpu: Intel(R) Core(TM) Ultra 7 155U
                                                             │ /tmp/old.txt  │             /tmp/new.txt             │
                                                             │    sec/op     │    sec/op     vs base                │
PrecompiledModExp/eip_example1-Gas=13056-14                     23.70µ ±  3%   22.31µ ±  6%   -5.89% (p=0.004 n=10)
PrecompiledModExp/eip_example2-Gas=13056-14                     566.2n ± 12%   267.0n ±  3%  -52.85% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-square-Gas=204-14                 1285.5n ±  3%   995.8n ±  3%  -22.54% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-qube-Gas=204-14                    1.757µ ± 30%   1.410µ ± 16%  -19.75% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14             8.897µ ± 14%   6.664µ ±  2%  -25.10% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-square-Gas=665-14                  2.107µ ±  8%   1.470µ ± 11%  -30.24% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-qube-Gas=665-14                    3.142µ ±  3%   2.289µ ±  7%  -27.16% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14            14.76µ ±  3%   13.59µ ±  4%   -7.94% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-square-Gas=1894-14                 3.984µ ±  3%   3.211µ ±  3%  -19.42% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-qube-Gas=1894-14                   7.572µ ± 12%   6.153µ ±  3%  -18.74% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14            39.07µ ±  7%   37.76µ ±  5%        ~ (p=0.123 n=10)
PrecompiledModExp/nagydani-4-square-Gas=5580-14                 9.613µ ±  2%   9.221µ ±  2%   -4.08% (p=0.003 n=10)
PrecompiledModExp/nagydani-4-qube-Gas=5580-14                   21.66µ ±  5%   21.48µ ± 17%        ~ (p=0.971 n=10)
PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14            120.7µ ±  8%   116.0µ ±  3%   -3.93% (p=0.043 n=10)
PrecompiledModExp/nagydani-5-square-Gas=17868-14                23.93µ ±  3%   24.82µ ±  3%   +3.73% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-qube-Gas=17868-14                  54.98µ ±  1%   58.08µ ±  4%   +5.64% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14           340.3µ ±  2%   341.2µ ±  3%        ~ (p=0.529 n=10)
PrecompiledModExpEip2565/eip_example1-Gas=1360-14               21.99µ ±  3%   21.24µ ±  2%   -3.43% (p=0.000 n=10)
PrecompiledModExpEip2565/eip_example2-Gas=1360-14               568.1n ± 12%   221.1n ±  2%  -61.07% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14          1272.0n ±  2%   822.3n ± 13%  -35.35% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14             1.633µ ±  3%   1.397µ ± 21%  -14.45% (p=0.023 n=10)
PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14       7.276µ ±  3%   6.703µ ±  5%   -7.88% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14           1.959µ ±  3%   1.618µ ±  2%  -17.43% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14             2.959µ ±  6%   2.611µ ±  5%  -11.78% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14      14.99µ ±  5%   13.76µ ±  4%   -8.17% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14           3.870µ ±  4%   3.521µ ±  2%   -9.04% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14             6.871µ ±  3%   6.454µ ±  3%   -6.07% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14      40.18µ ±  7%   35.55µ ±  3%  -11.52% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14          9.694µ ±  3%   8.427µ ±  3%  -13.08% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14            21.45µ ±  2%   19.48µ ±  7%   -9.18% (p=0.001 n=10)
PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14     118.1µ ±  2%   113.7µ ±  2%   -3.76% (p=0.003 n=10)
PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14          25.80µ ±  5%   24.05µ ±  3%   -6.76% (p=0.001 n=10)
PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14            57.28µ ±  8%   55.76µ ±  6%        ~ (p=0.796 n=10)
PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14     335.2µ ±  2%   346.2µ ±  3%   +3.28% (p=0.000 n=10)
PrecompiledModExpEip2565/marius-1-even-Gas=2057-14              56.24µ ±  3%   55.53µ ±  1%        ~ (p=0.280 n=10)
PrecompiledModExpEip2565/guido-1-even-Gas=2298-14               38.74µ ±  3%   38.63µ ±  6%        ~ (p=0.631 n=10)
PrecompiledModExpEip2565/guido-2-even-Gas=2300-14               61.94µ ±  2%   61.38µ ± 11%        ~ (p=0.529 n=10)
PrecompiledModExpEip2565/guido-3-even-Gas=5400-14               20.27µ ±  2%   20.19µ ±  5%        ~ (p=0.853 n=10)
PrecompiledModExpEip2565/guido-4-even-Gas=1026-14               805.8n ±  3%   359.1n ±  2%  -55.44% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14         4.717µ ±  5%   3.925µ ±  5%  -16.79% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14          15.51µ ±  3%   14.77µ ±  2%   -4.76% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14           10.42µ ±  2%   10.01µ ±  5%   -3.94% (p=0.011 n=10)
PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14         15.99µ ±  4%   15.65µ ±  4%        ~ (p=0.190 n=10)
PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14          24.45µ ±  2%   23.36µ ±  3%   -4.47% (p=0.002 n=10)
PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14           34.59µ ± 29%   32.90µ ±  1%   -4.90% (p=0.001 n=10)
PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14         12.45µ ±  2%   12.00µ ± 16%        ~ (p=0.105 n=10)
PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14          16.21µ ±  3%   15.58µ ±  6%        ~ (p=0.063 n=10)
PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14          23.03µ ±  3%   21.34µ ±  2%   -7.35% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14               17.44µ ±  3%   16.03µ ±  1%   -8.07% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14               21.00µ ±  5%   19.52µ ±  2%   -7.04% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14               9.549µ ±  2%   9.322µ ±  2%   -2.38% (p=0.005 n=10)
PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14               10.74µ ±  1%   10.31µ ±  2%   -4.06% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14               11.95µ ±  2%   11.43µ ±  2%   -4.33% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14               18.77µ ±  3%   18.10µ ±  2%   -3.54% (p=0.002 n=10)
PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14               13.58µ ±  1%   13.47µ ±  1%        ~ (p=0.280 n=10)
PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14              13.61µ ±  3%   13.36µ ±  1%   -1.83% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14               6.984µ ±  2%   6.053µ ±  3%  -13.33% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14               7.126µ ±  5%   6.344µ ±  7%  -10.97% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14             52.41µ ± 22%   49.85µ ±  4%        ~ (p=0.089 n=10)
PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14           20.93µ ± 32%   20.15µ ±  2%   -3.69% (p=0.001 n=10)
PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14           19.32µ ± 17%   14.46µ ±  4%  -25.16% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14           20.22µ ± 15%   14.30µ ±  3%  -29.27% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14           14.33µ ±  3%   13.93µ ±  2%   -2.80% (p=0.001 n=10)
PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14       24.30µ ± 16%   16.94µ ± 18%  -30.30% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14          1477.5n ±  5%   872.8n ±  9%  -40.93% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14             2.099µ ±  8%   1.131µ ±  2%  -46.13% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14      8.920µ ±  4%   6.356µ ±  2%  -28.74% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14           2.227µ ±  4%   1.396µ ±  2%  -37.34% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14             3.507µ ±  8%   2.421µ ± 13%  -30.97% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14      17.53µ ±  4%   14.17µ ±  5%  -19.20% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14          4.801µ ± 12%   3.498µ ±  3%  -27.15% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14            8.284µ ±  4%   6.536µ ±  2%  -21.10% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14     44.82µ ±  6%   37.01µ ± 24%  -17.43% (p=0.007 n=10)
PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14         11.742µ ±  4%   9.000µ ±  4%  -23.35% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14            27.49µ ± 10%   21.34µ ±  5%  -22.35% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14    141.4µ ± 11%   113.4µ ±  3%  -19.80% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14         31.46µ ±  5%   23.53µ ±  1%  -25.21% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14           78.12µ ± 20%   53.74µ ±  4%  -31.20% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14    446.3µ ±  6%   338.5µ ±  2%  -24.15% (p=0.000 n=10)
PrecompiledModExpEip7883/marius-1-even-Gas=45296-14             71.25µ ±  4%   55.33µ ±  1%  -22.34% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-1-even-Gas=51136-14              51.06µ ± 14%   38.19µ ±  3%  -25.20% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-2-even-Gas=51152-14              86.12µ ± 20%   60.65µ ±  2%  -29.57% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-3-even-Gas=32400-14              27.53µ ± 32%   20.37µ ±  2%  -26.02% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-4-even-Gas=94448-14              950.4n ±  5%   354.8n ± 28%  -62.67% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14        5.619µ ±  7%   4.440µ ±  5%  -20.98% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14        19.03µ ± 19%   15.67µ ± 22%  -17.63% (p=0.003 n=10)
PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14          13.83µ ± 19%   10.91µ ± 10%  -21.16% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14        23.69µ ±  9%   17.79µ ± 13%  -24.91% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14        38.86µ ± 12%   25.69µ ± 14%  -33.89% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14          51.47µ ± 28%   33.67µ ± 15%  -34.58% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14        16.69µ ± 17%   12.08µ ±  2%  -27.60% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14         19.75µ ±  5%   16.13µ ± 11%  -18.36% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14          28.66µ ±  9%   22.47µ ±  4%  -21.59% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14             20.78µ ± 14%   16.38µ ±  2%  -21.17% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14             24.35µ ± 10%   19.62µ ±  1%  -19.43% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14              10.312µ ±  4%   9.293µ ±  3%   -9.88% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14               11.69µ ± 18%   10.37µ ±  3%  -11.27% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14               14.17µ ± 24%   11.60µ ±  6%  -18.13% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14              22.03µ ±  8%   18.22µ ±  2%  -17.28% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14              16.48µ ± 11%   13.34µ ±  1%  -19.04% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14             17.03µ ±  9%   13.44µ ±  1%  -21.03% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14              8.123µ ± 14%   5.962µ ±  3%  -26.61% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14              8.155µ ± 28%   6.799µ ±  4%  -16.64% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14            62.32µ ±  4%   49.82µ ±  1%  -20.06% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14         26.90µ ±  7%   20.30µ ±  2%  -24.55% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14          17.67µ ±  2%   15.61µ ± 11%  -11.66% (p=0.001 n=10)
PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14          17.50µ ±  3%   14.88µ ±  8%  -14.98% (p=0.002 n=10)
PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14          17.32µ ±  2%   14.14µ ±  5%  -18.39% (p=0.000 n=10)
PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14      21.68µ ± 24%   17.07µ ±  3%  -21.25% (p=0.000 n=10)
geomean                                                         14.64µ         12.02µ        -17.89%

                                                             │ /tmp/old.txt │             /tmp/new.txt             │
                                                             │    gas/op    │   gas/op     vs base                 │
PrecompiledModExp/eip_example1-Gas=13056-14                     13.06k ± 0%   13.06k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/eip_example2-Gas=13056-14                     13.06k ± 0%   13.06k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-1-square-Gas=204-14                   204.0 ± 0%    204.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-1-qube-Gas=204-14                     204.0 ± 0%    204.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14             3.276k ± 0%   3.276k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-2-square-Gas=665-14                   665.0 ± 0%    665.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-2-qube-Gas=665-14                     665.0 ± 0%    665.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14            10.65k ± 0%   10.65k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-3-square-Gas=1894-14                 1.894k ± 0%   1.894k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-3-qube-Gas=1894-14                   1.894k ± 0%   1.894k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14            30.31k ± 0%   30.31k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-4-square-Gas=5580-14                 5.580k ± 0%   5.580k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-4-qube-Gas=5580-14                   5.580k ± 0%   5.580k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14            89.29k ± 0%   89.29k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-5-square-Gas=17868-14                17.87k ± 0%   17.87k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-5-qube-Gas=17868-14                  17.87k ± 0%   17.87k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14           285.9k ± 0%   285.9k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/eip_example1-Gas=1360-14               1.360k ± 0%   1.360k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/eip_example2-Gas=1360-14               1.360k ± 0%   1.360k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14            200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14              200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14        341.0 ± 0%    341.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14            200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14              200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14      1.365k ± 0%   1.365k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14            341.0 ± 0%    341.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14              341.0 ± 0%    341.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14      5.461k ± 0%   5.461k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14          1.365k ± 0%   1.365k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14            1.365k ± 0%   1.365k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14     21.84k ± 0%   21.84k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14          5.461k ± 0%   5.461k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14            5.461k ± 0%   5.461k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14     87.38k ± 0%   87.38k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marius-1-even-Gas=2057-14              2.057k ± 0%   2.057k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/guido-1-even-Gas=2298-14               2.298k ± 0%   2.298k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/guido-2-even-Gas=2300-14               2.300k ± 0%   2.300k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/guido-3-even-Gas=5400-14               5.400k ± 0%   5.400k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/guido-4-even-Gas=1026-14               1.026k ± 0%   1.026k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14          200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14           215.0 ± 0%    215.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14            200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14          867.0 ± 0%    867.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14           852.0 ± 0%    852.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14            996.0 ± 0%    996.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14          677.0 ± 0%    677.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14           765.0 ± 0%    765.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14          1.360k ± 0%   1.360k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14                215.0 ± 0%    215.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14                298.0 ± 0%    298.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14                200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14                200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14                208.0 ± 0%    208.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14                336.0 ± 0%    336.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14                341.0 ± 0%    341.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14               677.0 ± 0%    677.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14                341.0 ± 0%    341.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14                363.0 ± 0%    363.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14             5.461k ± 0%   5.461k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14            298.0 ± 0%    298.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14            425.0 ± 0%    425.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14            501.0 ± 0%    501.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14            506.0 ± 0%    506.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14        200.0 ± 0%    200.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14            500.0 ± 0%    500.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14              500.0 ± 0%    500.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14      2.048k ± 0%   2.048k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14            512.0 ± 0%    512.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14              512.0 ± 0%    512.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14      8.192k ± 0%   8.192k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14          2.048k ± 0%   2.048k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14            2.048k ± 0%   2.048k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14     32.77k ± 0%   32.77k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14          8.192k ± 0%   8.192k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14            8.192k ± 0%   8.192k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14    131.1k ± 0%   131.1k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14         32.77k ± 0%   32.77k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14           32.77k ± 0%   32.77k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14    524.3k ± 0%   524.3k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marius-1-even-Gas=45296-14             45.30k ± 0%   45.30k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/guido-1-even-Gas=51136-14              51.14k ± 0%   51.14k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/guido-2-even-Gas=51152-14              51.15k ± 0%   51.15k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/guido-3-even-Gas=32400-14              32.40k ± 0%   32.40k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/guido-4-even-Gas=94448-14              94.45k ± 0%   94.45k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14        1.152k ± 0%   1.152k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14        16.62k ± 0%   16.62k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14          1.200k ± 0%   1.200k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14        5.202k ± 0%   5.202k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14        16.37k ± 0%   16.37k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14          5.978k ± 0%   5.978k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14        2.032k ± 0%   2.032k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14         4.080k ± 0%   4.080k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14          4.080k ± 0%   4.080k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14             16.62k ± 0%   16.62k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14             24.56k ± 0%   24.56k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14                500.0 ± 0%    500.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14                560.0 ± 0%    560.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14                624.0 ± 0%    624.0 ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14              1.008k ± 0%   1.008k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14              1.024k ± 0%   1.024k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14             2.032k ± 0%   2.032k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14              2.048k ± 0%   2.048k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14              2.178k ± 0%   2.178k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14            32.77k ± 0%   32.77k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14         24.56k ± 0%   24.56k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14          6.128k ± 0%   6.128k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14          2.672k ± 0%   2.672k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14          1.520k ± 0%   1.520k ± 0%       ~ (p=1.000 n=10) ¹
PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14      1.008k ± 0%   1.008k ± 0%       ~ (p=1.000 n=10) ¹
geomean                                                         2.342k        2.342k       +0.00%
¹ all samples are equal

                                                             │ /tmp/old.txt │              /tmp/new.txt              │
                                                             │    mgas/s    │    mgas/s      vs base                 │
PrecompiledModExp/eip_example1-Gas=13056-14                     550.8 ±  4%     585.3 ±  5%    +6.26% (p=0.004 n=10)
PrecompiledModExp/eip_example2-Gas=13056-14                    23.06k ± 11%    48.91k ±  3%  +112.09% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-square-Gas=204-14                  158.7 ±  3%     204.8 ±  3%   +29.08% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-qube-Gas=204-14                    116.3 ± 23%     144.6 ± 14%   +24.33% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14             368.3 ± 16%     491.5 ±  2%   +33.45% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-square-Gas=665-14                  315.7 ±  7%     452.9 ± 10%   +43.47% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-qube-Gas=665-14                    211.6 ±  3%     290.6 ±  7%   +37.28% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14            721.6 ±  3%     783.8 ±  4%    +8.62% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-square-Gas=1894-14                 475.4 ±  3%     590.0 ±  3%   +24.10% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-qube-Gas=1894-14                   250.1 ± 11%     307.8 ±  3%   +23.05% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14            776.1 ±  6%     802.7 ±  5%         ~ (p=0.123 n=10)
PrecompiledModExp/nagydani-4-square-Gas=5580-14                 580.5 ±  2%     605.1 ±  2%    +4.25% (p=0.003 n=10)
PrecompiledModExp/nagydani-4-qube-Gas=5580-14                   257.6 ±  5%     259.8 ± 15%         ~ (p=0.971 n=10)
PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14            739.7 ±  9%     770.0 ±  3%    +4.09% (p=0.043 n=10)
PrecompiledModExp/nagydani-5-square-Gas=17868-14                746.6 ±  3%     719.8 ±  3%    -3.60% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-qube-Gas=17868-14                  325.0 ±  1%     307.6 ±  4%    -5.35% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14           840.1 ±  2%     838.0 ±  3%         ~ (p=0.529 n=10)
PrecompiledModExpEip2565/eip_example1-Gas=1360-14               61.84 ±  3%     64.03 ±  2%    +3.56% (p=0.000 n=10)
PrecompiledModExpEip2565/eip_example2-Gas=1360-14              2.394k ± 11%    6.150k ±  2%  +156.89% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14           157.2 ±  2%     243.2 ± 11%   +54.66% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14             122.4 ±  3%     143.2 ± 17%   +16.90% (p=0.023 n=10)
PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14       46.86 ±  3%     50.87 ±  4%    +8.55% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14           102.1 ±  3%     123.7 ±  2%   +21.17% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14             67.59 ±  5%     76.60 ±  5%   +13.34% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14      91.06 ±  5%     99.16 ±  4%    +8.90% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14           88.09 ±  4%     96.86 ±  2%    +9.96% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14             49.62 ±  3%     52.84 ±  3%    +6.48% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14      136.0 ±  6%     153.6 ±  3%   +12.94% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14          140.8 ±  3%     161.9 ±  3%   +15.02% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14            63.62 ±  2%     70.05 ±  6%   +10.12% (p=0.001 n=10)
PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14     184.9 ±  2%     192.2 ±  2%    +3.92% (p=0.003 n=10)
PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14          211.7 ±  5%     227.0 ±  3%    +7.25% (p=0.001 n=10)
PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14            95.34 ±  9%     97.93 ±  6%         ~ (p=0.796 n=10)
PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14     260.7 ±  2%     252.4 ±  3%    -3.18% (p=0.000 n=10)
PrecompiledModExpEip2565/marius-1-even-Gas=2057-14              36.57 ±  3%     37.03 ±  1%         ~ (p=0.280 n=10)
PrecompiledModExpEip2565/guido-1-even-Gas=2298-14               59.31 ±  3%     59.48 ±  5%         ~ (p=0.631 n=10)
PrecompiledModExpEip2565/guido-2-even-Gas=2300-14               37.13 ±  2%     37.47 ± 10%         ~ (p=0.529 n=10)
PrecompiledModExpEip2565/guido-3-even-Gas=5400-14               266.4 ±  2%     267.5 ±  5%         ~ (p=0.838 n=10)
PrecompiledModExpEip2565/guido-4-even-Gas=1026-14              1.274k ±  3%    2.857k ±  3%  +124.34% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14         42.39 ±  5%     50.95 ±  5%   +20.18% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14          13.86 ±  3%     14.55 ±  2%    +5.02% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14           19.19 ±  2%     19.98 ±  5%    +4.09% (p=0.011 n=10)
PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14         54.23 ±  4%     55.39 ±  4%         ~ (p=0.197 n=10)
PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14          34.84 ±  2%     36.47 ±  2%    +4.68% (p=0.002 n=10)
PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14           28.79 ± 23%     30.27 ±  1%    +5.16% (p=0.001 n=10)
PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14         54.37 ±  2%     56.42 ± 14%         ~ (p=0.093 n=10)
PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14          47.19 ±  3%     49.11 ±  6%         ~ (p=0.063 n=10)
PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14          59.05 ±  3%     63.73 ±  2%    +7.94% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14               12.32 ±  3%     13.41 ±  1%    +8.81% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14               14.19 ±  5%     15.26 ±  2%    +7.58% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14               20.94 ±  2%     21.45 ±  2%    +2.41% (p=0.005 n=10)
PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14               18.61 ±  1%     19.40 ±  2%    +4.25% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14               17.40 ±  2%     18.19 ±  2%    +4.54% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14               17.90 ±  3%     18.55 ±  2%    +3.66% (p=0.002 n=10)
PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14               25.10 ±  1%     25.30 ±  1%         ~ (p=0.306 n=10)
PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14              49.74 ±  3%     50.66 ±  1%    +1.86% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14               48.82 ±  2%     56.33 ±  3%   +15.38% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14               50.94 ±  5%     57.22 ±  6%   +12.33% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14             104.2 ± 18%     109.5 ±  4%         ~ (p=0.085 n=10)
PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14           14.23 ± 24%     14.78 ±  2%    +3.83% (p=0.001 n=10)
PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14           22.01 ± 20%     29.39 ±  4%   +33.55% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14           24.78 ± 17%     35.03 ±  3%   +41.38% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14           35.30 ±  3%     36.31 ±  2%    +2.88% (p=0.001 n=10)
PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14       8.250 ± 14%    11.805 ± 15%   +43.09% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14           338.4 ±  5%     574.2 ±  9%   +69.72% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14             238.3 ±  7%     442.1 ±  2%   +85.54% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14      229.6 ±  4%     322.2 ±  2%   +40.32% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14           229.9 ±  4%     366.8 ±  2%   +59.55% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14             146.1 ±  7%     211.8 ± 11%   +44.98% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14      467.2 ±  4%     578.3 ±  5%   +23.77% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14          426.6 ± 11%     585.5 ±  3%   +37.26% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14            247.2 ±  4%     313.4 ±  2%   +26.76% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14     731.1 ±  5%     885.5 ± 19%   +21.11% (p=0.007 n=10)
PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14          697.7 ±  4%     910.3 ±  4%   +30.47% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14            298.0 ±  9%     383.8 ±  5%   +28.75% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14    926.6 ± 10%    1155.5 ±  3%   +24.70% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14        1.042k ±  5%    1.393k ±  1%   +33.64% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14           419.5 ± 16%     609.7 ±  4%   +45.33% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14   1.175k ±  5%    1.549k ±  2%   +31.89% (p=0.000 n=10)
PrecompiledModExpEip7883/marius-1-even-Gas=45296-14             635.8 ±  4%     818.6 ±  1%   +28.76% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-1-even-Gas=51136-14             1.002k ± 13%    1.339k ±  3%   +33.66% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-2-even-Gas=51152-14              594.0 ± 17%     843.3 ±  2%   +41.97% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-3-even-Gas=32400-14             1.177k ± 24%    1.591k ±  2%   +35.17% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-4-even-Gas=94448-14             99.37k ±  5%   266.13k ± 22%  +167.81% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14        205.0 ±  7%     259.5 ±  5%   +26.56% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14        873.8 ± 16%    1061.0 ± 18%   +21.43% (p=0.003 n=10)
PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14          86.77 ± 16%    110.00 ±  9%   +26.77% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14        219.6 ±  8%     293.5 ± 12%   +33.67% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14        421.2 ± 14%     637.2 ± 13%   +51.28% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14          116.2 ± 22%     177.6 ± 13%   +52.86% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14        121.8 ± 14%     168.1 ±  2%   +38.11% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14         206.6 ±  5%     253.0 ± 10%   +22.49% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14          142.4 ±  8%     181.6 ±  4%   +27.57% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14             799.9 ± 12%    1014.5 ±  2%   +26.84% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14            1.009k ±  9%    1.252k ±  1%   +24.05% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14               48.48 ±  4%     53.80 ±  3%   +10.96% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14               47.91 ± 15%     53.99 ±  3%   +12.70% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14               44.05 ± 19%     53.80 ±  6%   +22.12% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14              45.75 ±  8%     55.31 ±  2%   +20.90% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14              62.24 ± 12%     76.77 ±  1%   +23.34% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14             119.3 ±  8%     151.1 ±  1%   +26.66% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14              252.2 ± 12%     343.6 ±  3%   +36.25% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14              267.1 ± 22%     320.4 ±  5%   +19.91% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14            525.9 ±  3%     657.7 ±  1%   +25.07% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14         913.0 ±  7%    1210.0 ±  1%   +32.52% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14          346.8 ±  2%     392.7 ± 10%   +13.24% (p=0.001 n=10)
PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14          152.7 ±  3%     179.7 ±  8%   +17.65% (p=0.002 n=10)
PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14          87.73 ±  2%    107.55 ±  4%   +22.59% (p=0.000 n=10)
PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14      46.50 ± 20%     59.03 ±  3%   +26.97% (p=0.000 n=10)
geomean                                                         159.9           194.8         +21.79%

                                                             │ /tmp/old.txt │             /tmp/new.txt             │
                                                             │     B/op     │     B/op      vs base                │
PrecompiledModExp/eip_example1-Gas=13056-14                    2.595Ki ± 0%   2.282Ki ± 0%  -12.04% (p=0.000 n=10)
PrecompiledModExp/eip_example2-Gas=13056-14                      672.0 ± 0%     352.0 ± 0%  -47.62% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-square-Gas=204-14                  1160.0 ± 0%     888.0 ± 0%  -23.45% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-qube-Gas=204-14                   1.414Ki ± 0%   1.148Ki ± 0%  -18.78% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14            1.898Ki ± 0%   1.633Ki ± 0%  -13.99% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-square-Gas=665-14                 1.789Ki ± 0%   1.383Ki ± 0%  -22.71% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-qube-Gas=665-14                   2.321Ki ± 0%   1.915Ki ± 0%  -17.50% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14           3.196Ki ± 0%   2.790Ki ± 0%  -12.71% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-square-Gas=1894-14                2.821Ki ± 0%   2.415Ki ± 0%  -14.40% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-qube-Gas=1894-14                  4.010Ki ± 0%   3.604Ki ± 0%  -10.13% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14           5.698Ki ± 0%   5.292Ki ± 0%   -7.13% (p=0.000 n=10)
PrecompiledModExp/nagydani-4-square-Gas=5580-14                5.042Ki ± 0%   4.636Ki ± 0%   -8.06% (p=0.000 n=10)
PrecompiledModExp/nagydani-4-qube-Gas=5580-14                  11.93Ki ± 0%   11.52Ki ± 0%   -3.42% (p=0.000 n=10)
PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14           15.30Ki ± 0%   14.89Ki ± 0%   -2.66% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-square-Gas=17868-14               9.616Ki ± 0%   9.208Ki ± 0%   -4.24% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-qube-Gas=17868-14                 23.26Ki ± 0%   22.85Ki ± 0%   -1.77% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14          31.90Ki ± 0%   31.49Ki ± 0%   -1.29% (p=0.000 n=10)
PrecompiledModExpEip2565/eip_example1-Gas=1360-14              2.595Ki ± 0%   2.282Ki ± 0%  -12.04% (p=0.000 n=10)
PrecompiledModExpEip2565/eip_example2-Gas=1360-14                672.0 ± 0%     352.0 ± 0%  -47.62% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14           1160.0 ± 0%     888.0 ± 0%  -23.45% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14            1.414Ki ± 0%   1.148Ki ± 0%  -18.78% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14      1.898Ki ± 0%   1.633Ki ± 0%  -13.99% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14          1.648Ki ± 0%   1.383Ki ± 0%  -16.11% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14            2.181Ki ± 0%   1.914Ki ± 0%  -12.23% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14     3.056Ki ± 0%   2.790Ki ± 0%   -8.69% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14          2.681Ki ± 0%   2.415Ki ± 0%   -9.91% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14            3.869Ki ± 0%   3.604Ki ± 0%   -6.87% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14     5.558Ki ± 0%   5.292Ki ± 0%   -4.78% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14         4.901Ki ± 0%   4.636Ki ± 0%   -5.42% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14           11.78Ki ± 0%   11.52Ki ± 0%   -2.25% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14    15.16Ki ± 0%   14.89Ki ± 0%   -1.76% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14         9.475Ki ± 0%   9.209Ki ± 0%   -2.80% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14           23.12Ki ± 0%   22.85Ki ± 0%   -1.15% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14    31.75Ki ± 0%   31.49Ki ± 0%   -0.83% (p=0.000 n=10)
PrecompiledModExpEip2565/marius-1-even-Gas=2057-14             2.501Ki ± 0%   2.134Ki ± 0%  -14.68% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-1-even-Gas=2298-14              2.470Ki ± 0%   2.103Ki ± 0%  -14.87% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-2-even-Gas=2300-14              2.587Ki ± 0%   2.228Ki ± 0%  -13.89% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-3-even-Gas=5400-14              8.271Ki ± 0%   8.014Ki ± 0%   -3.12% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-4-even-Gas=1026-14               1056.0 ± 0%     680.0 ± 0%  -35.61% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14        2.954Ki ± 0%   2.696Ki ± 0%   -8.73% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14         1.641Ki ± 0%   1.273Ki ± 0%  -22.38% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14          1.266Ki ± 0%   1.008Ki ± 0%  -20.37% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14        9.555Ki ± 0%   9.296Ki ± 0%   -2.71% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14         2.047Ki ± 0%   1.688Ki ± 0%  -17.56% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14          1.993Ki ± 0%   1.727Ki ± 0%  -13.38% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14        2.587Ki ± 0%   2.282Ki ± 0%  -11.78% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14         2.313Ki ± 0%   2.000Ki ± 0%  -13.55% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14         2.610Ki ± 0%   2.298Ki ± 0%  -11.97% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14              1.860Ki ± 0%   1.492Ki ± 0%  -19.79% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14              1.876Ki ± 0%   1.508Ki ± 0%  -19.60% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14               1192.0 ± 0%     920.0 ± 0%  -22.82% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14              1.305Ki ± 0%   1.039Ki ± 0%  -20.36% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14               1184.0 ± 0%     920.0 ± 0%  -22.30% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14               1184.0 ± 0%     920.0 ± 0%  -22.30% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14              3.071Ki ± 0%   2.767Ki ± 0%   -9.92% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14             3.071Ki ± 0%   2.767Ki ± 0%   -9.92% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14              3.869Ki ± 0%   3.604Ki ± 0%   -6.87% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14              3.986Ki ± 0%   3.729Ki ± 0%   -6.47% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14            24.12Ki ± 0%   23.85Ki ± 0%   -1.10% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14          1.931Ki ± 0%   1.563Ki ± 0%  -19.02% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14          2.438Ki ± 0%   2.071Ki ± 0%  -15.06% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14          2.798Ki ± 0%   2.485Ki ± 0%  -11.17% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14          3.080Ki ± 0%   2.774Ki ± 0%   -9.92% (p=0.000 n=10)
PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14       1064.0 ± 0%     800.0 ± 0%  -24.81% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14           1152.0 ± 0%     888.0 ± 0%  -22.92% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14            1.406Ki ± 0%   1.148Ki ± 0%  -18.33% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14     1.891Ki ± 0%   1.633Ki ± 0%  -13.64% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14          1.641Ki ± 0%   1.383Ki ± 0%  -15.71% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14            2.173Ki ± 0%   1.915Ki ± 0%  -11.87% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14     3.048Ki ± 0%   2.790Ki ± 0%   -8.46% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14         2.673Ki ± 0%   2.415Ki ± 0%   -9.65% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14           3.861Ki ± 0%   3.604Ki ± 0%   -6.68% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14    5.550Ki ± 0%   5.292Ki ± 0%   -4.65% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14         4.894Ki ± 0%   4.636Ki ± 0%   -5.27% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14           11.78Ki ± 0%   11.52Ki ± 0%   -2.20% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14   15.15Ki ± 0%   14.89Ki ± 0%   -1.71% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14        9.468Ki ± 0%   9.208Ki ± 0%   -2.74% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14          23.11Ki ± 0%   22.85Ki ± 0%   -1.13% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14   31.75Ki ± 0%   31.49Ki ± 0%   -0.81% (p=0.000 n=10)
PrecompiledModExpEip7883/marius-1-even-Gas=45296-14            2.548Ki ± 0%   2.134Ki ± 0%  -16.25% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-1-even-Gas=51136-14             2.517Ki ± 0%   2.103Ki ± 0%  -16.45% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-2-even-Gas=51152-14             2.642Ki ± 0%   2.228Ki ± 0%  -15.67% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-3-even-Gas=32400-14             8.271Ki ± 0%   8.014Ki ± 0%   -3.12% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-4-even-Gas=94448-14              1104.0 ± 0%     680.0 ± 0%  -38.41% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14       2.954Ki ± 0%   2.696Ki ± 0%   -8.73% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14       1.688Ki ± 0%   1.273Ki ± 0%  -24.54% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14         1.266Ki ± 0%   1.008Ki ± 0%  -20.37% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14       9.554Ki ± 0%   9.296Ki ± 0%   -2.70% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14       2.102Ki ± 0%   1.688Ki ± 0%  -19.72% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14         1.985Ki ± 0%   1.727Ki ± 0%  -13.03% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14       2.634Ki ± 0%   2.282Ki ± 0%  -13.35% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14        2.368Ki ± 0%   2.000Ki ± 0%  -15.55% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14         2.665Ki ± 0%   2.298Ki ± 0%  -13.78% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14            1.907Ki ± 0%   1.492Ki ± 0%  -21.76% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14            1.923Ki ± 0%   1.508Ki ± 0%  -21.58% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14               1240.0 ± 0%     920.0 ± 0%  -25.81% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14              1.352Ki ± 0%   1.039Ki ± 0%  -23.12% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14               1240.0 ± 0%     920.0 ± 0%  -25.81% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14              1240.0 ± 0%     920.0 ± 0%  -25.81% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14             3.118Ki ± 0%   2.767Ki ± 0%  -11.27% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14            3.118Ki ± 0%   2.767Ki ± 0%  -11.27% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14             3.861Ki ± 0%   3.604Ki ± 0%   -6.68% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14             3.986Ki ± 0%   3.729Ki ± 0%   -6.47% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14           24.12Ki ± 0%   23.85Ki ± 0%   -1.09% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14        1.978Ki ± 0%   1.562Ki ± 0%  -20.99% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14         2.485Ki ± 0%   2.071Ki ± 0%  -16.66% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14         2.853Ki ± 0%   2.485Ki ± 0%  -12.87% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14         3.127Ki ± 0%   2.774Ki ± 0%  -11.27% (p=0.000 n=10)
PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14      1120.0 ± 0%     800.0 ± 0%  -28.57% (p=0.000 n=10)
geomean                                                        3.164Ki        2.718Ki       -14.08%

                                                             │ /tmp/old.txt │            /tmp/new.txt            │
                                                             │  allocs/op   │ allocs/op   vs base                │
PrecompiledModExp/eip_example1-Gas=13056-14                      37.00 ± 0%   30.00 ± 0%  -18.92% (p=0.000 n=10)
PrecompiledModExp/eip_example2-Gas=13056-14                     13.000 ± 0%   6.000 ± 0%  -53.85% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-square-Gas=204-14                   18.00 ± 0%   10.00 ± 0%  -44.44% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-qube-Gas=204-14                     19.00 ± 0%   11.00 ± 0%  -42.11% (p=0.000 n=10)
PrecompiledModExp/nagydani-1-pow0x10001-Gas=3276-14              22.00 ± 0%   14.00 ± 0%  -36.36% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-square-Gas=665-14                   23.00 ± 0%   10.00 ± 0%  -56.52% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-qube-Gas=665-14                     24.00 ± 0%   11.00 ± 0%  -54.17% (p=0.000 n=10)
PrecompiledModExp/nagydani-2-pow0x10001-Gas=10649-14             27.00 ± 0%   14.00 ± 0%  -48.15% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-square-Gas=1894-14                  23.00 ± 0%   10.00 ± 0%  -56.52% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-qube-Gas=1894-14                    24.00 ± 0%   11.00 ± 0%  -54.17% (p=0.000 n=10)
PrecompiledModExp/nagydani-3-pow0x10001-Gas=30310-14             27.00 ± 0%   14.00 ± 0%  -48.15% (p=0.000 n=10)
PrecompiledModExp/nagydani-4-square-Gas=5580-14                  23.00 ± 0%   10.00 ± 0%  -56.52% (p=0.000 n=10)
PrecompiledModExp/nagydani-4-qube-Gas=5580-14                    25.00 ± 0%   12.00 ± 0%  -52.00% (p=0.000 n=10)
PrecompiledModExp/nagydani-4-pow0x10001-Gas=89292-14             28.00 ± 0%   15.00 ± 0%  -46.43% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-square-Gas=17868-14                 24.00 ± 0%   11.00 ± 0%  -54.17% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-qube-Gas=17868-14                   26.00 ± 0%   13.00 ± 0%  -50.00% (p=0.000 n=10)
PrecompiledModExp/nagydani-5-pow0x10001-Gas=285900-14            44.00 ± 0%   31.00 ± 0%  -29.55% (p=0.000 n=10)
PrecompiledModExpEip2565/eip_example1-Gas=1360-14                37.00 ± 0%   30.00 ± 0%  -18.92% (p=0.000 n=10)
PrecompiledModExpEip2565/eip_example2-Gas=1360-14               13.000 ± 0%   6.000 ± 0%  -53.85% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-square-Gas=200-14            18.00 ± 0%   10.00 ± 0%  -44.44% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-qube-Gas=200-14              19.00 ± 0%   11.00 ± 0%  -42.11% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-1-pow0x10001-Gas=341-14        22.00 ± 0%   14.00 ± 0%  -36.36% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-square-Gas=200-14            18.00 ± 0%   10.00 ± 0%  -44.44% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-qube-Gas=200-14              19.00 ± 0%   11.00 ± 0%  -42.11% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-2-pow0x10001-Gas=1365-14       22.00 ± 0%   14.00 ± 0%  -36.36% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-square-Gas=341-14            18.00 ± 0%   10.00 ± 0%  -44.44% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-qube-Gas=341-14              19.00 ± 0%   11.00 ± 0%  -42.11% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-3-pow0x10001-Gas=5461-14       22.00 ± 0%   14.00 ± 0%  -36.36% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-square-Gas=1365-14           18.00 ± 0%   10.00 ± 0%  -44.44% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-qube-Gas=1365-14             20.00 ± 0%   12.00 ± 0%  -40.00% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-4-pow0x10001-Gas=21845-14      23.00 ± 0%   15.00 ± 0%  -34.78% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-5-square-Gas=5461-14           19.00 ± 0%   11.00 ± 0%  -42.11% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-5-qube-Gas=5461-14             21.00 ± 0%   13.00 ± 0%  -38.10% (p=0.000 n=10)
PrecompiledModExpEip2565/nagydani-5-pow0x10001-Gas=87381-14      39.00 ± 0%   31.00 ± 0%  -20.51% (p=0.000 n=10)
PrecompiledModExpEip2565/marius-1-even-Gas=2057-14               52.00 ± 0%   43.00 ± 0%  -17.31% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-1-even-Gas=2298-14                55.00 ± 0%   46.00 ± 0%  -16.36% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-2-even-Gas=2300-14                52.00 ± 0%   44.00 ± 0%  -15.38% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-3-even-Gas=5400-14                19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip2565/guido-4-even-Gas=1026-14               18.000 ± 0%   9.000 ± 0%  -50.00% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-base-heavy-Gas=200-14          18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-exp-heavy-Gas=215-14           37.00 ± 0%   28.00 ± 0%  -24.32% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-1-balanced-Gas=200-14            19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-2-base-heavy-Gas=867-14          19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-2-exp-heavy-Gas=852-14           36.00 ± 0%   28.00 ± 0%  -22.22% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-2-balanced-Gas=996-14            23.00 ± 0%   15.00 ± 0%  -34.78% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-3-base-heavy-Gas=677-14          36.00 ± 0%   28.00 ± 0%  -22.22% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-3-exp-heavy-Gas=765-14           35.00 ± 0%   28.00 ± 0%  -20.00% (p=0.000 n=10)
PrecompiledModExpEip2565/marcin-3-balanced-Gas=1360-14           35.00 ± 0%   28.00 ± 0%  -20.00% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-648-Gas=215-14                50.00 ± 0%   41.00 ± 0%  -18.00% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-8-exp-896-Gas=298-14                50.00 ± 0%   41.00 ± 0%  -18.00% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-32-Gas=200-14                21.00 ± 0%   13.00 ± 0%  -38.10% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-36-Gas=200-14                22.00 ± 0%   14.00 ± 0%  -36.36% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-40-Gas=208-14                20.00 ± 0%   13.00 ± 0%  -35.00% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-64-Gas=336-14                20.00 ± 0%   13.00 ± 0%  -35.00% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-65-Gas=341-14                52.00 ± 0%   44.00 ± 0%  -15.38% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-32-exp-128-Gas=677-14               52.00 ± 0%   44.00 ± 0%  -15.38% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-256-exp-2-Gas=341-14                19.00 ± 0%   11.00 ± 0%  -42.11% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-264-exp-2-Gas=363-14                18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip2565/mod-1024-exp-2-Gas=5461-14              22.00 ± 0%   14.00 ± 0%  -36.36% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-1-exp-heavy-Gas=298-14            52.00 ± 0%   43.00 ± 0%  -17.31% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-2-exp-heavy-Gas=425-14            54.00 ± 0%   45.00 ± 0%  -16.67% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-3-exp-heavy-Gas=501-14            52.00 ± 0%   45.00 ± 0%  -13.46% (p=0.000 n=10)
PrecompiledModExpEip2565/pawel-4-exp-heavy-Gas=506-14            53.00 ± 0%   45.00 ± 0%  -15.09% (p=0.000 n=10)
PrecompiledModExpEip2565/mod_vul_pawel_3_exp_8-Gas=200-14        19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-square-Gas=500-14            17.00 ± 0%   10.00 ± 0%  -41.18% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-qube-Gas=500-14              18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-1-pow0x10001-Gas=2048-14       21.00 ± 0%   14.00 ± 0%  -33.33% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-square-Gas=512-14            17.00 ± 0%   10.00 ± 0%  -41.18% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-qube-Gas=512-14              18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-2-pow0x10001-Gas=8192-14       21.00 ± 0%   14.00 ± 0%  -33.33% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-square-Gas=2048-14           17.00 ± 0%   10.00 ± 0%  -41.18% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-qube-Gas=2048-14             18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-3-pow0x10001-Gas=32768-14      21.00 ± 0%   14.00 ± 0%  -33.33% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-square-Gas=8192-14           17.00 ± 0%   10.00 ± 0%  -41.18% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-qube-Gas=8192-14             19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-4-pow0x10001-Gas=131072-14     22.00 ± 0%   15.00 ± 0%  -31.82% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-square-Gas=32768-14          18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-qube-Gas=32768-14            20.00 ± 0%   13.00 ± 0%  -35.00% (p=0.000 n=10)
PrecompiledModExpEip7883/nagydani-5-pow0x10001-Gas=524288-14     38.00 ± 0%   31.00 ± 0%  -18.42% (p=0.000 n=10)
PrecompiledModExpEip7883/marius-1-even-Gas=45296-14              53.00 ± 0%   43.00 ± 0%  -18.87% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-1-even-Gas=51136-14               56.00 ± 0%   46.00 ± 0%  -17.86% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-2-even-Gas=51152-14               54.00 ± 0%   44.00 ± 0%  -18.52% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-3-even-Gas=32400-14               19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip7883/guido-4-even-Gas=94448-14              19.000 ± 0%   9.000 ± 0%  -52.63% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-base-heavy-Gas=1152-14         18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-exp-heavy-Gas=16624-14         38.00 ± 0%   28.00 ± 0%  -26.32% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-1-balanced-Gas=1200-14           19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-base-heavy-Gas=5202-14         19.00 ± 0%   12.00 ± 0%  -36.84% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-exp-heavy-Gas=16368-14         38.00 ± 0%   28.00 ± 0%  -26.32% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-2-balanced-Gas=5978-14           22.00 ± 0%   15.00 ± 0%  -31.82% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-base-heavy-Gas=2032-14         37.00 ± 0%   28.00 ± 0%  -24.32% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-exp-heavy-Gas=4080-14          37.00 ± 0%   28.00 ± 0%  -24.32% (p=0.000 n=10)
PrecompiledModExpEip7883/marcin-3-balanced-Gas=4080-14           37.00 ± 0%   28.00 ± 0%  -24.32% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-648-Gas=16624-14              51.00 ± 0%   41.00 ± 0%  -19.61% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-8-exp-896-Gas=24560-14              51.00 ± 0%   41.00 ± 0%  -19.61% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-32-Gas=500-14                22.00 ± 0%   13.00 ± 0%  -40.91% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-36-Gas=560-14                23.00 ± 0%   14.00 ± 0%  -39.13% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-40-Gas=624-14                22.00 ± 0%   13.00 ± 0%  -40.91% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-64-Gas=1008-14               22.00 ± 0%   13.00 ± 0%  -40.91% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-65-Gas=1024-14               53.00 ± 0%   44.00 ± 0%  -16.98% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-32-exp-128-Gas=2032-14              53.00 ± 0%   44.00 ± 0%  -16.98% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-256-exp-2-Gas=2048-14               18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-264-exp-2-Gas=2178-14               18.00 ± 0%   11.00 ± 0%  -38.89% (p=0.000 n=10)
PrecompiledModExpEip7883/mod-1024-exp-2-Gas=32768-14             21.00 ± 0%   14.00 ± 0%  -33.33% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-1-exp-heavy-Gas=24560-14          53.00 ± 0%   43.00 ± 0%  -18.87% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-2-exp-heavy-Gas=6128-14           55.00 ± 0%   45.00 ± 0%  -18.18% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-3-exp-heavy-Gas=2672-14           54.00 ± 0%   45.00 ± 0%  -16.67% (p=0.000 n=10)
PrecompiledModExpEip7883/pawel-4-exp-heavy-Gas=1520-14           54.00 ± 0%   45.00 ± 0%  -16.67% (p=0.000 n=10)
PrecompiledModExpEip7883/mod_vul_pawel_3_exp_8-Gas=1008-14       21.00 ± 0%   12.00 ± 0%  -42.86% (p=0.000 n=10)
geomean                                                          26.59        17.27       -35.03%
```

Co-authored-by: @kevaundray
Co-authored-by: Felix Lange <fjl@twurst.com>
2025-09-08 13:33:10 +02:00

1447 lines
45 KiB
Go

// Copyright 2014 The go-ethereum Authors
// This file is part of the go-ethereum library.
//
// The go-ethereum library is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// The go-ethereum library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
package vm
import (
"crypto/sha256"
"encoding/binary"
"errors"
"fmt"
"maps"
"math"
"math/big"
"math/bits"
"github.com/consensys/gnark-crypto/ecc"
bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381"
"github.com/consensys/gnark-crypto/ecc/bls12-381/fp"
"github.com/consensys/gnark-crypto/ecc/bls12-381/fr"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/common/bitutil"
"github.com/ethereum/go-ethereum/core/tracing"
"github.com/ethereum/go-ethereum/crypto"
"github.com/ethereum/go-ethereum/crypto/blake2b"
"github.com/ethereum/go-ethereum/crypto/bn256"
"github.com/ethereum/go-ethereum/crypto/kzg4844"
"github.com/ethereum/go-ethereum/crypto/secp256r1"
"github.com/ethereum/go-ethereum/params"
"github.com/holiman/uint256"
"golang.org/x/crypto/ripemd160"
)
// PrecompiledContract is the basic interface for native Go contracts. The implementation
// requires a deterministic gas count based on the input size of the Run method of the
// contract.
type PrecompiledContract interface {
RequiredGas(input []byte) uint64 // RequiredPrice calculates the contract gas use
Run(input []byte) ([]byte, error) // Run runs the precompiled contract
Name() string
}
// PrecompiledContracts contains the precompiled contracts supported at the given fork.
type PrecompiledContracts map[common.Address]PrecompiledContract
// PrecompiledContractsHomestead contains the default set of pre-compiled Ethereum
// contracts used in the Frontier and Homestead releases.
var PrecompiledContractsHomestead = PrecompiledContracts{
common.BytesToAddress([]byte{0x1}): &ecrecover{},
common.BytesToAddress([]byte{0x2}): &sha256hash{},
common.BytesToAddress([]byte{0x3}): &ripemd160hash{},
common.BytesToAddress([]byte{0x4}): &dataCopy{},
}
// PrecompiledContractsByzantium contains the default set of pre-compiled Ethereum
// contracts used in the Byzantium release.
var PrecompiledContractsByzantium = PrecompiledContracts{
common.BytesToAddress([]byte{0x1}): &ecrecover{},
common.BytesToAddress([]byte{0x2}): &sha256hash{},
common.BytesToAddress([]byte{0x3}): &ripemd160hash{},
common.BytesToAddress([]byte{0x4}): &dataCopy{},
common.BytesToAddress([]byte{0x5}): &bigModExp{eip2565: false, eip7823: false, eip7883: false},
common.BytesToAddress([]byte{0x6}): &bn256AddByzantium{},
common.BytesToAddress([]byte{0x7}): &bn256ScalarMulByzantium{},
common.BytesToAddress([]byte{0x8}): &bn256PairingByzantium{},
}
// PrecompiledContractsIstanbul contains the default set of pre-compiled Ethereum
// contracts used in the Istanbul release.
var PrecompiledContractsIstanbul = PrecompiledContracts{
common.BytesToAddress([]byte{0x1}): &ecrecover{},
common.BytesToAddress([]byte{0x2}): &sha256hash{},
common.BytesToAddress([]byte{0x3}): &ripemd160hash{},
common.BytesToAddress([]byte{0x4}): &dataCopy{},
common.BytesToAddress([]byte{0x5}): &bigModExp{eip2565: false, eip7823: false, eip7883: false},
common.BytesToAddress([]byte{0x6}): &bn256AddIstanbul{},
common.BytesToAddress([]byte{0x7}): &bn256ScalarMulIstanbul{},
common.BytesToAddress([]byte{0x8}): &bn256PairingIstanbul{},
common.BytesToAddress([]byte{0x9}): &blake2F{},
}
// PrecompiledContractsBerlin contains the default set of pre-compiled Ethereum
// contracts used in the Berlin release.
var PrecompiledContractsBerlin = PrecompiledContracts{
common.BytesToAddress([]byte{0x1}): &ecrecover{},
common.BytesToAddress([]byte{0x2}): &sha256hash{},
common.BytesToAddress([]byte{0x3}): &ripemd160hash{},
common.BytesToAddress([]byte{0x4}): &dataCopy{},
common.BytesToAddress([]byte{0x5}): &bigModExp{eip2565: true, eip7823: false, eip7883: false},
common.BytesToAddress([]byte{0x6}): &bn256AddIstanbul{},
common.BytesToAddress([]byte{0x7}): &bn256ScalarMulIstanbul{},
common.BytesToAddress([]byte{0x8}): &bn256PairingIstanbul{},
common.BytesToAddress([]byte{0x9}): &blake2F{},
}
// PrecompiledContractsCancun contains the default set of pre-compiled Ethereum
// contracts used in the Cancun release.
var PrecompiledContractsCancun = PrecompiledContracts{
common.BytesToAddress([]byte{0x1}): &ecrecover{},
common.BytesToAddress([]byte{0x2}): &sha256hash{},
common.BytesToAddress([]byte{0x3}): &ripemd160hash{},
common.BytesToAddress([]byte{0x4}): &dataCopy{},
common.BytesToAddress([]byte{0x5}): &bigModExp{eip2565: true, eip7823: false, eip7883: false},
common.BytesToAddress([]byte{0x6}): &bn256AddIstanbul{},
common.BytesToAddress([]byte{0x7}): &bn256ScalarMulIstanbul{},
common.BytesToAddress([]byte{0x8}): &bn256PairingIstanbul{},
common.BytesToAddress([]byte{0x9}): &blake2F{},
common.BytesToAddress([]byte{0xa}): &kzgPointEvaluation{},
}
// PrecompiledContractsPrague contains the set of pre-compiled Ethereum
// contracts used in the Prague release.
var PrecompiledContractsPrague = PrecompiledContracts{
common.BytesToAddress([]byte{0x01}): &ecrecover{},
common.BytesToAddress([]byte{0x02}): &sha256hash{},
common.BytesToAddress([]byte{0x03}): &ripemd160hash{},
common.BytesToAddress([]byte{0x04}): &dataCopy{},
common.BytesToAddress([]byte{0x05}): &bigModExp{eip2565: true, eip7823: false, eip7883: false},
common.BytesToAddress([]byte{0x06}): &bn256AddIstanbul{},
common.BytesToAddress([]byte{0x07}): &bn256ScalarMulIstanbul{},
common.BytesToAddress([]byte{0x08}): &bn256PairingIstanbul{},
common.BytesToAddress([]byte{0x09}): &blake2F{},
common.BytesToAddress([]byte{0x0a}): &kzgPointEvaluation{},
common.BytesToAddress([]byte{0x0b}): &bls12381G1Add{},
common.BytesToAddress([]byte{0x0c}): &bls12381G1MultiExp{},
common.BytesToAddress([]byte{0x0d}): &bls12381G2Add{},
common.BytesToAddress([]byte{0x0e}): &bls12381G2MultiExp{},
common.BytesToAddress([]byte{0x0f}): &bls12381Pairing{},
common.BytesToAddress([]byte{0x10}): &bls12381MapG1{},
common.BytesToAddress([]byte{0x11}): &bls12381MapG2{},
}
var PrecompiledContractsBLS = PrecompiledContractsPrague
var PrecompiledContractsVerkle = PrecompiledContractsBerlin
// PrecompiledContractsOsaka contains the set of pre-compiled Ethereum
// contracts used in the Osaka release.
var PrecompiledContractsOsaka = PrecompiledContracts{
common.BytesToAddress([]byte{0x01}): &ecrecover{},
common.BytesToAddress([]byte{0x02}): &sha256hash{},
common.BytesToAddress([]byte{0x03}): &ripemd160hash{},
common.BytesToAddress([]byte{0x04}): &dataCopy{},
common.BytesToAddress([]byte{0x05}): &bigModExp{eip2565: true, eip7823: true, eip7883: true},
common.BytesToAddress([]byte{0x06}): &bn256AddIstanbul{},
common.BytesToAddress([]byte{0x07}): &bn256ScalarMulIstanbul{},
common.BytesToAddress([]byte{0x08}): &bn256PairingIstanbul{},
common.BytesToAddress([]byte{0x09}): &blake2F{},
common.BytesToAddress([]byte{0x0a}): &kzgPointEvaluation{},
common.BytesToAddress([]byte{0x0b}): &bls12381G1Add{},
common.BytesToAddress([]byte{0x0c}): &bls12381G1MultiExp{},
common.BytesToAddress([]byte{0x0d}): &bls12381G2Add{},
common.BytesToAddress([]byte{0x0e}): &bls12381G2MultiExp{},
common.BytesToAddress([]byte{0x0f}): &bls12381Pairing{},
common.BytesToAddress([]byte{0x10}): &bls12381MapG1{},
common.BytesToAddress([]byte{0x11}): &bls12381MapG2{},
common.BytesToAddress([]byte{0x1, 0x00}): &p256Verify{},
}
// PrecompiledContractsP256Verify contains the precompiled Ethereum
// contract specified in EIP-7212. This is exported for testing purposes.
var PrecompiledContractsP256Verify = PrecompiledContracts{
common.BytesToAddress([]byte{0x1, 0x00}): &p256Verify{},
}
var (
PrecompiledAddressesOsaka []common.Address
PrecompiledAddressesPrague []common.Address
PrecompiledAddressesCancun []common.Address
PrecompiledAddressesBerlin []common.Address
PrecompiledAddressesIstanbul []common.Address
PrecompiledAddressesByzantium []common.Address
PrecompiledAddressesHomestead []common.Address
)
func init() {
for k := range PrecompiledContractsHomestead {
PrecompiledAddressesHomestead = append(PrecompiledAddressesHomestead, k)
}
for k := range PrecompiledContractsByzantium {
PrecompiledAddressesByzantium = append(PrecompiledAddressesByzantium, k)
}
for k := range PrecompiledContractsIstanbul {
PrecompiledAddressesIstanbul = append(PrecompiledAddressesIstanbul, k)
}
for k := range PrecompiledContractsBerlin {
PrecompiledAddressesBerlin = append(PrecompiledAddressesBerlin, k)
}
for k := range PrecompiledContractsCancun {
PrecompiledAddressesCancun = append(PrecompiledAddressesCancun, k)
}
for k := range PrecompiledContractsPrague {
PrecompiledAddressesPrague = append(PrecompiledAddressesPrague, k)
}
for k := range PrecompiledContractsOsaka {
PrecompiledAddressesOsaka = append(PrecompiledAddressesOsaka, k)
}
}
func activePrecompiledContracts(rules params.Rules) PrecompiledContracts {
switch {
case rules.IsVerkle:
return PrecompiledContractsVerkle
case rules.IsOsaka:
return PrecompiledContractsOsaka
case rules.IsPrague:
return PrecompiledContractsPrague
case rules.IsCancun:
return PrecompiledContractsCancun
case rules.IsBerlin:
return PrecompiledContractsBerlin
case rules.IsIstanbul:
return PrecompiledContractsIstanbul
case rules.IsByzantium:
return PrecompiledContractsByzantium
default:
return PrecompiledContractsHomestead
}
}
// ActivePrecompiledContracts returns a copy of precompiled contracts enabled with the current configuration.
func ActivePrecompiledContracts(rules params.Rules) PrecompiledContracts {
return maps.Clone(activePrecompiledContracts(rules))
}
// ActivePrecompiles returns the precompile addresses enabled with the current configuration.
func ActivePrecompiles(rules params.Rules) []common.Address {
switch {
case rules.IsOsaka:
return PrecompiledAddressesOsaka
case rules.IsPrague:
return PrecompiledAddressesPrague
case rules.IsCancun:
return PrecompiledAddressesCancun
case rules.IsBerlin:
return PrecompiledAddressesBerlin
case rules.IsIstanbul:
return PrecompiledAddressesIstanbul
case rules.IsByzantium:
return PrecompiledAddressesByzantium
default:
return PrecompiledAddressesHomestead
}
}
// RunPrecompiledContract runs and evaluates the output of a precompiled contract.
// It returns
// - the returned bytes,
// - the _remaining_ gas,
// - any error that occurred
func RunPrecompiledContract(p PrecompiledContract, input []byte, suppliedGas uint64, logger *tracing.Hooks) (ret []byte, remainingGas uint64, err error) {
gasCost := p.RequiredGas(input)
if suppliedGas < gasCost {
return nil, 0, ErrOutOfGas
}
if logger != nil && logger.OnGasChange != nil {
logger.OnGasChange(suppliedGas, suppliedGas-gasCost, tracing.GasChangeCallPrecompiledContract)
}
suppliedGas -= gasCost
output, err := p.Run(input)
return output, suppliedGas, err
}
// ecrecover implemented as a native contract.
type ecrecover struct{}
func (c *ecrecover) RequiredGas(input []byte) uint64 {
return params.EcrecoverGas
}
func (c *ecrecover) Run(input []byte) ([]byte, error) {
const ecRecoverInputLength = 128
input = common.RightPadBytes(input, ecRecoverInputLength)
// "input" is (hash, v, r, s), each 32 bytes
// but for ecrecover we want (r, s, v)
r := new(big.Int).SetBytes(input[64:96])
s := new(big.Int).SetBytes(input[96:128])
v := input[63] - 27
// tighter sig s values input homestead only apply to tx sigs
if bitutil.TestBytes(input[32:63]) || !crypto.ValidateSignatureValues(v, r, s, false) {
return nil, nil
}
// We must make sure not to modify the 'input', so placing the 'v' along with
// the signature needs to be done on a new allocation
sig := make([]byte, 65)
copy(sig, input[64:128])
sig[64] = v
// v needs to be at the end for libsecp256k1
pubKey, err := crypto.Ecrecover(input[:32], sig)
// make sure the public key is a valid one
if err != nil {
return nil, nil
}
// the first byte of pubkey is bitcoin heritage
return common.LeftPadBytes(crypto.Keccak256(pubKey[1:])[12:], 32), nil
}
func (c *ecrecover) Name() string {
return "ECREC"
}
// SHA256 implemented as a native contract.
type sha256hash struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
//
// This method does not require any overflow checking as the input size gas costs
// required for anything significant is so high it's impossible to pay for.
func (c *sha256hash) RequiredGas(input []byte) uint64 {
return uint64(len(input)+31)/32*params.Sha256PerWordGas + params.Sha256BaseGas
}
func (c *sha256hash) Run(input []byte) ([]byte, error) {
h := sha256.Sum256(input)
return h[:], nil
}
func (c *sha256hash) Name() string {
return "SHA256"
}
// RIPEMD160 implemented as a native contract.
type ripemd160hash struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
//
// This method does not require any overflow checking as the input size gas costs
// required for anything significant is so high it's impossible to pay for.
func (c *ripemd160hash) RequiredGas(input []byte) uint64 {
return uint64(len(input)+31)/32*params.Ripemd160PerWordGas + params.Ripemd160BaseGas
}
func (c *ripemd160hash) Run(input []byte) ([]byte, error) {
ripemd := ripemd160.New()
ripemd.Write(input)
return common.LeftPadBytes(ripemd.Sum(nil), 32), nil
}
func (c *ripemd160hash) Name() string {
return "RIPEMD160"
}
// data copy implemented as a native contract.
type dataCopy struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
//
// This method does not require any overflow checking as the input size gas costs
// required for anything significant is so high it's impossible to pay for.
func (c *dataCopy) RequiredGas(input []byte) uint64 {
return uint64(len(input)+31)/32*params.IdentityPerWordGas + params.IdentityBaseGas
}
func (c *dataCopy) Run(in []byte) ([]byte, error) {
return common.CopyBytes(in), nil
}
func (c *dataCopy) Name() string {
return "ID"
}
// bigModExp implements a native big integer exponential modular operation.
type bigModExp struct {
eip2565 bool
eip7823 bool
eip7883 bool
}
// byzantiumMultComplexity implements the bigModexp multComplexity formula, as defined in EIP-198.
//
// def mult_complexity(x):
// if x <= 64: return x ** 2
// elif x <= 1024: return x ** 2 // 4 + 96 * x - 3072
// else: return x ** 2 // 16 + 480 * x - 199680
//
// where is x is max(length_of_MODULUS, length_of_BASE)
// returns MaxUint64 if an overflow occurred.
func byzantiumMultComplexity(x uint64) uint64 {
switch {
case x <= 64:
return x * x
case x <= 1024:
// x^2 / 4 + 96*x - 3072
return x*x/4 + 96*x - 3072
default:
// For large x, use uint256 arithmetic to avoid overflow
// x^2 / 16 + 480*x - 199680
// xSqr = x^2 / 16
carry, xSqr := bits.Mul64(x, x)
if carry != 0 {
return math.MaxUint64
}
xSqr = xSqr >> 4
// Calculate 480 * x (can't overflow if x^2 didn't overflow)
x480 := x * 480
// Calculate 480 * x - 199680 (will not underflow, since x > 1024)
x480 = x480 - 199680
// xSqr + x480
sum, carry := bits.Add64(xSqr, x480, 0)
if carry != 0 {
return math.MaxUint64
}
return sum
}
}
// berlinMultComplexity implements the multiplication complexity formula for Berlin.
//
// def mult_complexity(x):
//
// ceiling(x/8)^2
//
// where is x is max(length_of_MODULUS, length_of_BASE)
func berlinMultComplexity(x uint64) uint64 {
// x = (x + 7) / 8
x, carry := bits.Add64(x, 7, 0)
if carry != 0 {
return math.MaxUint64
}
x /= 8
// x^2
carry, x = bits.Mul64(x, x)
if carry != 0 {
return math.MaxUint64
}
return x
}
// osakaMultComplexity implements the multiplication complexity formula for Osaka.
//
// For x <= 32: returns 16
// For x > 32: returns 2 * ceiling(x/8)^2
func osakaMultComplexity(x uint64) uint64 {
if x <= 32 {
return 16
}
// For x > 32, return 2 * berlinMultComplexity(x)
result := berlinMultComplexity(x)
carry, result := bits.Mul64(result, 2)
if carry != 0 {
return math.MaxUint64
}
return result
}
// modexpIterationCount calculates the number of iterations for the modexp precompile.
// This is the adjusted exponent length used in gas calculation.
func modexpIterationCount(expLen uint64, expHead uint256.Int, multiplier uint64) uint64 {
var iterationCount uint64
// For large exponents (expLen > 32), add (expLen - 32) * multiplier
if expLen > 32 {
iterationCount = (expLen - 32) * multiplier
}
// Add the MSB position - 1 if expHead is non-zero
if bitLen := expHead.BitLen(); bitLen > 0 {
iterationCount += uint64(bitLen - 1)
}
return max(iterationCount, 1)
}
// byzantiumModexpGas calculates the gas cost for the modexp precompile using Byzantium rules.
func byzantiumModexpGas(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
const (
multiplier = 8
divisor = 20
)
maxLen := max(baseLen, modLen)
multComplexity := byzantiumMultComplexity(maxLen)
if multComplexity == math.MaxUint64 {
return math.MaxUint64
}
iterationCount := modexpIterationCount(expLen, expHead, multiplier)
// Calculate gas: (multComplexity * iterationCount) / divisor
carry, gas := bits.Mul64(iterationCount, multComplexity)
gas /= divisor
if carry != 0 {
return math.MaxUint64
}
return gas
}
// berlinModexpGas calculates the gas cost for the modexp precompile using Berlin rules.
func berlinModexpGas(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
const (
multiplier = 8
divisor = 3
minGas = 200
)
maxLen := max(baseLen, modLen)
multComplexity := berlinMultComplexity(maxLen)
if multComplexity == math.MaxUint64 {
return math.MaxUint64
}
iterationCount := modexpIterationCount(expLen, expHead, multiplier)
// Calculate gas: (multComplexity * iterationCount) / divisor
carry, gas := bits.Mul64(iterationCount, multComplexity)
gas /= divisor
if carry != 0 {
return math.MaxUint64
}
return max(gas, minGas)
}
// osakaModexpGas calculates the gas cost for the modexp precompile using Osaka rules.
func osakaModexpGas(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
const (
multiplier = 16
divisor = 3
minGas = 500
)
maxLen := max(baseLen, modLen)
multComplexity := osakaMultComplexity(maxLen)
if multComplexity == math.MaxUint64 {
return math.MaxUint64
}
iterationCount := modexpIterationCount(expLen, expHead, multiplier)
// Calculate gas: (multComplexity * iterationCount) / osakaDivisor
carry, gas := bits.Mul64(iterationCount, multComplexity)
if carry != 0 {
return math.MaxUint64
}
return max(gas, minGas)
}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bigModExp) RequiredGas(input []byte) uint64 {
// Parse input lengths
baseLenBig := new(uint256.Int).SetBytes(getData(input, 0, 32))
expLenBig := new(uint256.Int).SetBytes(getData(input, 32, 32))
modLenBig := new(uint256.Int).SetBytes(getData(input, 64, 32))
// Convert to uint64, capping at max value
baseLen := baseLenBig.Uint64()
if !baseLenBig.IsUint64() {
baseLen = math.MaxUint64
}
expLen := expLenBig.Uint64()
if !expLenBig.IsUint64() {
expLen = math.MaxUint64
}
modLen := modLenBig.Uint64()
if !modLenBig.IsUint64() {
modLen = math.MaxUint64
}
// Skip the header
if len(input) > 96 {
input = input[96:]
} else {
input = input[:0]
}
// Retrieve the head 32 bytes of exp for the adjusted exponent length
var expHead uint256.Int
if uint64(len(input)) > baseLen {
if expLen > 32 {
expHead.SetBytes(getData(input, baseLen, 32))
} else {
// TODO: Check that if expLen < baseLen, then getData will return an empty slice
expHead.SetBytes(getData(input, baseLen, expLen))
}
}
// Choose the appropriate gas calculation based on the EIP flags
if c.eip7883 {
return osakaModexpGas(baseLen, expLen, modLen, expHead)
} else if c.eip2565 {
return berlinModexpGas(baseLen, expLen, modLen, expHead)
} else {
return byzantiumModexpGas(baseLen, expLen, modLen, expHead)
}
}
func (c *bigModExp) Run(input []byte) ([]byte, error) {
var (
baseLenBig = new(big.Int).SetBytes(getData(input, 0, 32))
expLenBig = new(big.Int).SetBytes(getData(input, 32, 32))
modLenBig = new(big.Int).SetBytes(getData(input, 64, 32))
baseLen = baseLenBig.Uint64()
expLen = expLenBig.Uint64()
modLen = modLenBig.Uint64()
inputLenOverflow = max(baseLenBig.BitLen(), expLenBig.BitLen(), modLenBig.BitLen()) > 64
)
if len(input) > 96 {
input = input[96:]
} else {
input = input[:0]
}
// enforce size cap for inputs
if c.eip7823 && (inputLenOverflow || max(baseLen, expLen, modLen) > 1024) {
return nil, errors.New("one or more of base/exponent/modulus length exceeded 1024 bytes")
}
// Handle a special case when both the base and mod length is zero
if baseLen == 0 && modLen == 0 {
return []byte{}, nil
}
// Retrieve the operands and execute the exponentiation
var (
base = new(big.Int).SetBytes(getData(input, 0, baseLen))
exp = new(big.Int).SetBytes(getData(input, baseLen, expLen))
mod = new(big.Int).SetBytes(getData(input, baseLen+expLen, modLen))
v []byte
)
switch {
case mod.BitLen() == 0:
// Modulo 0 is undefined, return zero
return common.LeftPadBytes([]byte{}, int(modLen)), nil
case base.BitLen() == 1: // a bit length of 1 means it's 1 (or -1).
//If base == 1, then we can just return base % mod (if mod >= 1, which it is)
v = base.Mod(base, mod).Bytes()
default:
v = base.Exp(base, exp, mod).Bytes()
}
return common.LeftPadBytes(v, int(modLen)), nil
}
func (c *bigModExp) Name() string {
return "MODEXP"
}
// newCurvePoint unmarshals a binary blob into a bn256 elliptic curve point,
// returning it, or an error if the point is invalid.
func newCurvePoint(blob []byte) (*bn256.G1, error) {
p := new(bn256.G1)
if _, err := p.Unmarshal(blob); err != nil {
return nil, err
}
return p, nil
}
// newTwistPoint unmarshals a binary blob into a bn256 elliptic curve point,
// returning it, or an error if the point is invalid.
func newTwistPoint(blob []byte) (*bn256.G2, error) {
p := new(bn256.G2)
if _, err := p.Unmarshal(blob); err != nil {
return nil, err
}
return p, nil
}
// runBn256Add implements the Bn256Add precompile, referenced by both
// Byzantium and Istanbul operations.
func runBn256Add(input []byte) ([]byte, error) {
x, err := newCurvePoint(getData(input, 0, 64))
if err != nil {
return nil, err
}
y, err := newCurvePoint(getData(input, 64, 64))
if err != nil {
return nil, err
}
res := new(bn256.G1)
res.Add(x, y)
return res.Marshal(), nil
}
// bn256AddIstanbul implements a native elliptic curve point addition conforming to
// Istanbul consensus rules.
type bn256AddIstanbul struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bn256AddIstanbul) RequiredGas(input []byte) uint64 {
return params.Bn256AddGasIstanbul
}
func (c *bn256AddIstanbul) Run(input []byte) ([]byte, error) {
return runBn256Add(input)
}
func (c *bn256AddIstanbul) Name() string {
return "BN254_ADD"
}
// bn256AddByzantium implements a native elliptic curve point addition
// conforming to Byzantium consensus rules.
type bn256AddByzantium struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bn256AddByzantium) RequiredGas(input []byte) uint64 {
return params.Bn256AddGasByzantium
}
func (c *bn256AddByzantium) Run(input []byte) ([]byte, error) {
return runBn256Add(input)
}
func (c *bn256AddByzantium) Name() string {
return "BN254_ADD"
}
// runBn256ScalarMul implements the Bn256ScalarMul precompile, referenced by
// both Byzantium and Istanbul operations.
func runBn256ScalarMul(input []byte) ([]byte, error) {
p, err := newCurvePoint(getData(input, 0, 64))
if err != nil {
return nil, err
}
res := new(bn256.G1)
res.ScalarMult(p, new(big.Int).SetBytes(getData(input, 64, 32)))
return res.Marshal(), nil
}
// bn256ScalarMulIstanbul implements a native elliptic curve scalar
// multiplication conforming to Istanbul consensus rules.
type bn256ScalarMulIstanbul struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bn256ScalarMulIstanbul) RequiredGas(input []byte) uint64 {
return params.Bn256ScalarMulGasIstanbul
}
func (c *bn256ScalarMulIstanbul) Run(input []byte) ([]byte, error) {
return runBn256ScalarMul(input)
}
func (c *bn256ScalarMulIstanbul) Name() string {
return "BN254_MUL"
}
// bn256ScalarMulByzantium implements a native elliptic curve scalar
// multiplication conforming to Byzantium consensus rules.
type bn256ScalarMulByzantium struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bn256ScalarMulByzantium) RequiredGas(input []byte) uint64 {
return params.Bn256ScalarMulGasByzantium
}
func (c *bn256ScalarMulByzantium) Run(input []byte) ([]byte, error) {
return runBn256ScalarMul(input)
}
func (c *bn256ScalarMulByzantium) Name() string {
return "BN254_MUL"
}
var (
// true32Byte is returned if the bn256 pairing check succeeds.
true32Byte = []byte{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
// false32Byte is returned if the bn256 pairing check fails.
false32Byte = make([]byte, 32)
// errBadPairingInput is returned if the bn256 pairing input is invalid.
errBadPairingInput = errors.New("bad elliptic curve pairing size")
)
// runBn256Pairing implements the Bn256Pairing precompile, referenced by both
// Byzantium and Istanbul operations.
func runBn256Pairing(input []byte) ([]byte, error) {
// Handle some corner cases cheaply
if len(input)%192 > 0 {
return nil, errBadPairingInput
}
// Convert the input into a set of coordinates
var (
cs []*bn256.G1
ts []*bn256.G2
)
for i := 0; i < len(input); i += 192 {
c, err := newCurvePoint(input[i : i+64])
if err != nil {
return nil, err
}
t, err := newTwistPoint(input[i+64 : i+192])
if err != nil {
return nil, err
}
cs = append(cs, c)
ts = append(ts, t)
}
// Execute the pairing checks and return the results
if bn256.PairingCheck(cs, ts) {
return true32Byte, nil
}
return false32Byte, nil
}
// bn256PairingIstanbul implements a pairing pre-compile for the bn256 curve
// conforming to Istanbul consensus rules.
type bn256PairingIstanbul struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bn256PairingIstanbul) RequiredGas(input []byte) uint64 {
return params.Bn256PairingBaseGasIstanbul + uint64(len(input)/192)*params.Bn256PairingPerPointGasIstanbul
}
func (c *bn256PairingIstanbul) Run(input []byte) ([]byte, error) {
return runBn256Pairing(input)
}
func (c *bn256PairingIstanbul) Name() string {
return "BN254_PAIRING"
}
// bn256PairingByzantium implements a pairing pre-compile for the bn256 curve
// conforming to Byzantium consensus rules.
type bn256PairingByzantium struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bn256PairingByzantium) RequiredGas(input []byte) uint64 {
return params.Bn256PairingBaseGasByzantium + uint64(len(input)/192)*params.Bn256PairingPerPointGasByzantium
}
func (c *bn256PairingByzantium) Run(input []byte) ([]byte, error) {
return runBn256Pairing(input)
}
func (c *bn256PairingByzantium) Name() string {
return "BN254_PAIRING"
}
type blake2F struct{}
func (c *blake2F) RequiredGas(input []byte) uint64 {
// If the input is malformed, we can't calculate the gas, return 0 and let the
// actual call choke and fault.
if len(input) != blake2FInputLength {
return 0
}
return uint64(binary.BigEndian.Uint32(input[0:4]))
}
const (
blake2FInputLength = 213
blake2FFinalBlockBytes = byte(1)
blake2FNonFinalBlockBytes = byte(0)
)
var (
errBlake2FInvalidInputLength = errors.New("invalid input length")
errBlake2FInvalidFinalFlag = errors.New("invalid final flag")
)
func (c *blake2F) Run(input []byte) ([]byte, error) {
// Make sure the input is valid (correct length and final flag)
if len(input) != blake2FInputLength {
return nil, errBlake2FInvalidInputLength
}
if input[212] != blake2FNonFinalBlockBytes && input[212] != blake2FFinalBlockBytes {
return nil, errBlake2FInvalidFinalFlag
}
// Parse the input into the Blake2b call parameters
var (
rounds = binary.BigEndian.Uint32(input[0:4])
final = input[212] == blake2FFinalBlockBytes
h [8]uint64
m [16]uint64
t [2]uint64
)
for i := 0; i < 8; i++ {
offset := 4 + i*8
h[i] = binary.LittleEndian.Uint64(input[offset : offset+8])
}
for i := 0; i < 16; i++ {
offset := 68 + i*8
m[i] = binary.LittleEndian.Uint64(input[offset : offset+8])
}
t[0] = binary.LittleEndian.Uint64(input[196:204])
t[1] = binary.LittleEndian.Uint64(input[204:212])
// Execute the compression function, extract and return the result
blake2b.F(&h, m, t, final, rounds)
output := make([]byte, 64)
for i := 0; i < 8; i++ {
offset := i * 8
binary.LittleEndian.PutUint64(output[offset:offset+8], h[i])
}
return output, nil
}
func (c *blake2F) Name() string {
return "BLAKE2F"
}
var (
errBLS12381InvalidInputLength = errors.New("invalid input length")
errBLS12381InvalidFieldElementTopBytes = errors.New("invalid field element top bytes")
errBLS12381G1PointSubgroup = errors.New("g1 point is not on correct subgroup")
errBLS12381G2PointSubgroup = errors.New("g2 point is not on correct subgroup")
)
// bls12381G1Add implements EIP-2537 G1Add precompile.
type bls12381G1Add struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381G1Add) RequiredGas(input []byte) uint64 {
return params.Bls12381G1AddGas
}
func (c *bls12381G1Add) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 G1Add precompile.
// > G1 addition call expects `256` bytes as an input that is interpreted as byte concatenation of two G1 points (`128` bytes each).
// > Output is an encoding of addition operation result - single G1 point (`128` bytes).
if len(input) != 256 {
return nil, errBLS12381InvalidInputLength
}
var err error
var p0, p1 *bls12381.G1Affine
// Decode G1 point p_0
if p0, err = decodePointG1(input[:128]); err != nil {
return nil, err
}
// Decode G1 point p_1
if p1, err = decodePointG1(input[128:]); err != nil {
return nil, err
}
// No need to check the subgroup here, as specified by EIP-2537
// Compute r = p_0 + p_1
p0.Add(p0, p1)
// Encode the G1 point result into 128 bytes
return encodePointG1(p0), nil
}
func (c *bls12381G1Add) Name() string {
return "BLS12_G1ADD"
}
// bls12381G1MultiExp implements EIP-2537 G1MultiExp precompile.
type bls12381G1MultiExp struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381G1MultiExp) RequiredGas(input []byte) uint64 {
// Calculate G1 point, scalar value pair length
k := len(input) / 160
if k == 0 {
// Return 0 gas for small input length
return 0
}
// Lookup discount value for G1 point, scalar value pair length
var discount uint64
if dLen := len(params.Bls12381G1MultiExpDiscountTable); k < dLen {
discount = params.Bls12381G1MultiExpDiscountTable[k-1]
} else {
discount = params.Bls12381G1MultiExpDiscountTable[dLen-1]
}
// Calculate gas and return the result
return (uint64(k) * params.Bls12381G1MulGas * discount) / 1000
}
func (c *bls12381G1MultiExp) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 G1MultiExp precompile.
// G1 multiplication call expects `160*k` bytes as an input that is interpreted as byte concatenation of `k` slices each of them being a byte concatenation of encoding of G1 point (`128` bytes) and encoding of a scalar value (`32` bytes).
// Output is an encoding of multiexponentiation operation result - single G1 point (`128` bytes).
k := len(input) / 160
if len(input) == 0 || len(input)%160 != 0 {
return nil, errBLS12381InvalidInputLength
}
points := make([]bls12381.G1Affine, k)
scalars := make([]fr.Element, k)
// Decode point scalar pairs
for i := 0; i < k; i++ {
off := 160 * i
t0, t1, t2 := off, off+128, off+160
// Decode G1 point
p, err := decodePointG1(input[t0:t1])
if err != nil {
return nil, err
}
// 'point is on curve' check already done,
// Here we need to apply subgroup checks.
if !p.IsInSubGroup() {
return nil, errBLS12381G1PointSubgroup
}
points[i] = *p
// Decode scalar value
scalars[i] = *new(fr.Element).SetBytes(input[t1:t2])
}
// Compute r = e_0 * p_0 + e_1 * p_1 + ... + e_(k-1) * p_(k-1)
r := new(bls12381.G1Affine)
r.MultiExp(points, scalars, ecc.MultiExpConfig{})
// Encode the G1 point to 128 bytes
return encodePointG1(r), nil
}
func (c *bls12381G1MultiExp) Name() string {
return "BLS12_G1MSM"
}
// bls12381G2Add implements EIP-2537 G2Add precompile.
type bls12381G2Add struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381G2Add) RequiredGas(input []byte) uint64 {
return params.Bls12381G2AddGas
}
func (c *bls12381G2Add) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 G2Add precompile.
// > G2 addition call expects `512` bytes as an input that is interpreted as byte concatenation of two G2 points (`256` bytes each).
// > Output is an encoding of addition operation result - single G2 point (`256` bytes).
if len(input) != 512 {
return nil, errBLS12381InvalidInputLength
}
var err error
var p0, p1 *bls12381.G2Affine
// Decode G2 point p_0
if p0, err = decodePointG2(input[:256]); err != nil {
return nil, err
}
// Decode G2 point p_1
if p1, err = decodePointG2(input[256:]); err != nil {
return nil, err
}
// No need to check the subgroup here, as specified by EIP-2537
// Compute r = p_0 + p_1
r := new(bls12381.G2Affine)
r.Add(p0, p1)
// Encode the G2 point into 256 bytes
return encodePointG2(r), nil
}
func (c *bls12381G2Add) Name() string {
return "BLS12_G2ADD"
}
// bls12381G2MultiExp implements EIP-2537 G2MultiExp precompile.
type bls12381G2MultiExp struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381G2MultiExp) RequiredGas(input []byte) uint64 {
// Calculate G2 point, scalar value pair length
k := len(input) / 288
if k == 0 {
// Return 0 gas for small input length
return 0
}
// Lookup discount value for G2 point, scalar value pair length
var discount uint64
if dLen := len(params.Bls12381G2MultiExpDiscountTable); k < dLen {
discount = params.Bls12381G2MultiExpDiscountTable[k-1]
} else {
discount = params.Bls12381G2MultiExpDiscountTable[dLen-1]
}
// Calculate gas and return the result
return (uint64(k) * params.Bls12381G2MulGas * discount) / 1000
}
func (c *bls12381G2MultiExp) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 G2MultiExp precompile logic
// > G2 multiplication call expects `288*k` bytes as an input that is interpreted as byte concatenation of `k` slices each of them being a byte concatenation of encoding of G2 point (`256` bytes) and encoding of a scalar value (`32` bytes).
// > Output is an encoding of multiexponentiation operation result - single G2 point (`256` bytes).
k := len(input) / 288
if len(input) == 0 || len(input)%288 != 0 {
return nil, errBLS12381InvalidInputLength
}
points := make([]bls12381.G2Affine, k)
scalars := make([]fr.Element, k)
// Decode point scalar pairs
for i := 0; i < k; i++ {
off := 288 * i
t0, t1, t2 := off, off+256, off+288
// Decode G2 point
p, err := decodePointG2(input[t0:t1])
if err != nil {
return nil, err
}
// 'point is on curve' check already done,
// Here we need to apply subgroup checks.
if !p.IsInSubGroup() {
return nil, errBLS12381G2PointSubgroup
}
points[i] = *p
// Decode scalar value
scalars[i] = *new(fr.Element).SetBytes(input[t1:t2])
}
// Compute r = e_0 * p_0 + e_1 * p_1 + ... + e_(k-1) * p_(k-1)
r := new(bls12381.G2Affine)
r.MultiExp(points, scalars, ecc.MultiExpConfig{})
// Encode the G2 point to 256 bytes.
return encodePointG2(r), nil
}
func (c *bls12381G2MultiExp) Name() string {
return "BLS12_G2MSM"
}
// bls12381Pairing implements EIP-2537 Pairing precompile.
type bls12381Pairing struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381Pairing) RequiredGas(input []byte) uint64 {
return params.Bls12381PairingBaseGas + uint64(len(input)/384)*params.Bls12381PairingPerPairGas
}
func (c *bls12381Pairing) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 Pairing precompile logic.
// > Pairing call expects `384*k` bytes as an inputs that is interpreted as byte concatenation of `k` slices. Each slice has the following structure:
// > - `128` bytes of G1 point encoding
// > - `256` bytes of G2 point encoding
// > Output is a `32` bytes where last single byte is `0x01` if pairing result is equal to multiplicative identity in a pairing target field and `0x00` otherwise
// > (which is equivalent of Big Endian encoding of Solidity values `uint256(1)` and `uin256(0)` respectively).
k := len(input) / 384
if len(input) == 0 || len(input)%384 != 0 {
return nil, errBLS12381InvalidInputLength
}
var (
p []bls12381.G1Affine
q []bls12381.G2Affine
)
// Decode pairs
for i := 0; i < k; i++ {
off := 384 * i
t0, t1, t2 := off, off+128, off+384
// Decode G1 point
p1, err := decodePointG1(input[t0:t1])
if err != nil {
return nil, err
}
// Decode G2 point
p2, err := decodePointG2(input[t1:t2])
if err != nil {
return nil, err
}
// 'point is on curve' check already done,
// Here we need to apply subgroup checks.
if !p1.IsInSubGroup() {
return nil, errBLS12381G1PointSubgroup
}
if !p2.IsInSubGroup() {
return nil, errBLS12381G2PointSubgroup
}
p = append(p, *p1)
q = append(q, *p2)
}
// Prepare 32 byte output
out := make([]byte, 32)
// Compute pairing and set the result
ok, err := bls12381.PairingCheck(p, q)
if err == nil && ok {
out[31] = 1
}
return out, nil
}
func (c *bls12381Pairing) Name() string {
return "BLS12_PAIRING_CHECK"
}
func decodePointG1(in []byte) (*bls12381.G1Affine, error) {
if len(in) != 128 {
return nil, errors.New("invalid g1 point length")
}
// decode x
x, err := decodeBLS12381FieldElement(in[:64])
if err != nil {
return nil, err
}
// decode y
y, err := decodeBLS12381FieldElement(in[64:])
if err != nil {
return nil, err
}
elem := bls12381.G1Affine{X: x, Y: y}
if !elem.IsOnCurve() {
return nil, errors.New("invalid point: not on curve")
}
return &elem, nil
}
// decodePointG2 given encoded (x, y) coordinates in 256 bytes returns a valid G2 Point.
func decodePointG2(in []byte) (*bls12381.G2Affine, error) {
if len(in) != 256 {
return nil, errors.New("invalid g2 point length")
}
x0, err := decodeBLS12381FieldElement(in[:64])
if err != nil {
return nil, err
}
x1, err := decodeBLS12381FieldElement(in[64:128])
if err != nil {
return nil, err
}
y0, err := decodeBLS12381FieldElement(in[128:192])
if err != nil {
return nil, err
}
y1, err := decodeBLS12381FieldElement(in[192:])
if err != nil {
return nil, err
}
p := bls12381.G2Affine{X: bls12381.E2{A0: x0, A1: x1}, Y: bls12381.E2{A0: y0, A1: y1}}
if !p.IsOnCurve() {
return nil, errors.New("invalid point: not on curve")
}
return &p, err
}
// decodeBLS12381FieldElement decodes BLS12-381 elliptic curve field element.
// Removes top 16 bytes of 64 byte input.
func decodeBLS12381FieldElement(in []byte) (fp.Element, error) {
if len(in) != 64 {
return fp.Element{}, errors.New("invalid field element length")
}
// check top bytes
for i := 0; i < 16; i++ {
if in[i] != byte(0x00) {
return fp.Element{}, errBLS12381InvalidFieldElementTopBytes
}
}
var res [48]byte
copy(res[:], in[16:])
return fp.BigEndian.Element(&res)
}
// encodePointG1 encodes a point into 128 bytes.
func encodePointG1(p *bls12381.G1Affine) []byte {
out := make([]byte, 128)
fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[16:]), p.X)
fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[64+16:]), p.Y)
return out
}
// encodePointG2 encodes a point into 256 bytes.
func encodePointG2(p *bls12381.G2Affine) []byte {
out := make([]byte, 256)
// encode x
fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[16:16+48]), p.X.A0)
fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[80:80+48]), p.X.A1)
// encode y
fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[144:144+48]), p.Y.A0)
fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[208:208+48]), p.Y.A1)
return out
}
// bls12381MapG1 implements EIP-2537 MapG1 precompile.
type bls12381MapG1 struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381MapG1) RequiredGas(input []byte) uint64 {
return params.Bls12381MapG1Gas
}
func (c *bls12381MapG1) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 Map_To_G1 precompile.
// > Field-to-curve call expects an `64` bytes input that is interpreted as an element of the base field.
// > Output of this call is `128` bytes and is G1 point following respective encoding rules.
if len(input) != 64 {
return nil, errBLS12381InvalidInputLength
}
// Decode input field element
fe, err := decodeBLS12381FieldElement(input)
if err != nil {
return nil, err
}
// Compute mapping
r := bls12381.MapToG1(fe)
// Encode the G1 point to 128 bytes
return encodePointG1(&r), nil
}
func (c *bls12381MapG1) Name() string {
return "BLS12_MAP_FP_TO_G1"
}
// bls12381MapG2 implements EIP-2537 MapG2 precompile.
type bls12381MapG2 struct{}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bls12381MapG2) RequiredGas(input []byte) uint64 {
return params.Bls12381MapG2Gas
}
func (c *bls12381MapG2) Run(input []byte) ([]byte, error) {
// Implements EIP-2537 Map_FP2_TO_G2 precompile logic.
// > Field-to-curve call expects an `128` bytes input that is interpreted as an element of the quadratic extension field.
// > Output of this call is `256` bytes and is G2 point following respective encoding rules.
if len(input) != 128 {
return nil, errBLS12381InvalidInputLength
}
// Decode input field element
c0, err := decodeBLS12381FieldElement(input[:64])
if err != nil {
return nil, err
}
c1, err := decodeBLS12381FieldElement(input[64:])
if err != nil {
return nil, err
}
// Compute mapping
r := bls12381.MapToG2(bls12381.E2{A0: c0, A1: c1})
// Encode the G2 point to 256 bytes
return encodePointG2(&r), nil
}
func (c *bls12381MapG2) Name() string {
return "BLS12_MAP_FP2_TO_G2"
}
// kzgPointEvaluation implements the EIP-4844 point evaluation precompile.
type kzgPointEvaluation struct{}
// RequiredGas estimates the gas required for running the point evaluation precompile.
func (b *kzgPointEvaluation) RequiredGas(input []byte) uint64 {
return params.BlobTxPointEvaluationPrecompileGas
}
const (
blobVerifyInputLength = 192 // Max input length for the point evaluation precompile.
blobCommitmentVersionKZG uint8 = 0x01 // Version byte for the point evaluation precompile.
blobPrecompileReturnValue = "000000000000000000000000000000000000000000000000000000000000100073eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001"
)
var (
errBlobVerifyInvalidInputLength = errors.New("invalid input length")
errBlobVerifyMismatchedVersion = errors.New("mismatched versioned hash")
errBlobVerifyKZGProof = errors.New("error verifying kzg proof")
)
// Run executes the point evaluation precompile.
func (b *kzgPointEvaluation) Run(input []byte) ([]byte, error) {
if len(input) != blobVerifyInputLength {
return nil, errBlobVerifyInvalidInputLength
}
// versioned hash: first 32 bytes
var versionedHash common.Hash
copy(versionedHash[:], input[:])
var (
point kzg4844.Point
claim kzg4844.Claim
)
// Evaluation point: next 32 bytes
copy(point[:], input[32:])
// Expected output: next 32 bytes
copy(claim[:], input[64:])
// input kzg point: next 48 bytes
var commitment kzg4844.Commitment
copy(commitment[:], input[96:])
if kZGToVersionedHash(commitment) != versionedHash {
return nil, errBlobVerifyMismatchedVersion
}
// Proof: next 48 bytes
var proof kzg4844.Proof
copy(proof[:], input[144:])
if err := kzg4844.VerifyProof(commitment, point, claim, proof); err != nil {
return nil, fmt.Errorf("%w: %v", errBlobVerifyKZGProof, err)
}
return common.Hex2Bytes(blobPrecompileReturnValue), nil
}
func (b *kzgPointEvaluation) Name() string {
return "KZG_POINT_EVALUATION"
}
// kZGToVersionedHash implements kzg_to_versioned_hash from EIP-4844
func kZGToVersionedHash(kzg kzg4844.Commitment) common.Hash {
h := sha256.Sum256(kzg[:])
h[0] = blobCommitmentVersionKZG
return h
}
// P256VERIFY (secp256r1 signature verification)
// implemented as a native contract
type p256Verify struct{}
// RequiredGas returns the gas required to execute the precompiled contract
func (c *p256Verify) RequiredGas(input []byte) uint64 {
return params.P256VerifyGas
}
// Run executes the precompiled contract with given 160 bytes of param, returning the output and the used gas
func (c *p256Verify) Run(input []byte) ([]byte, error) {
const p256VerifyInputLength = 160
if len(input) != p256VerifyInputLength {
return nil, nil
}
// Extract hash, r, s, x, y from the input.
hash := input[0:32]
r, s := new(big.Int).SetBytes(input[32:64]), new(big.Int).SetBytes(input[64:96])
x, y := new(big.Int).SetBytes(input[96:128]), new(big.Int).SetBytes(input[128:160])
// Verify the signature.
if secp256r1.Verify(hash, r, s, x, y) {
return true32Byte, nil
}
return nil, nil
}
func (c *p256Verify) Name() string {
return "P256VERIFY"
}