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Support arbitrary precision calculations#93

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arbitrary-precision
Jun 2, 2026
Merged

Support arbitrary precision calculations#93
3 commits merged into
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arbitrary-precision

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@langestefan langestefan commented Jun 2, 2026

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Benchmark Results (Julia vlts)

Time benchmarks
main e6ceed5... main / e6ceed5...
ours/n=100/NOAA 0.03 ± 0.0016 ms 0.0314 ± 0.00032 ms 0.953 ± 0.052
ours/n=100/PSA 0.0151 ± 0.0017 ms 0.0135 ± 8e-05 ms 1.12 ± 0.13
ours/n=100/SPA 0.231 ± 0.0049 ms 0.227 ± 0.0037 ms 1.02 ± 0.027
ours/n=100/USNO 0.0285 ± 0.00019 ms 0.0299 ± 0.0017 ms 0.955 ± 0.054
ours/n=100/Walraven 0.0162 ± 0.00035 ms 0.0177 ± 0.0016 ms 0.919 ± 0.085
ours/n=1000/NOAA 0.293 ± 0.0067 ms 0.293 ± 0.0067 ms 1 ± 0.033
ours/n=1000/PSA 0.136 ± 0.0086 ms 0.137 ± 0.0088 ms 0.989 ± 0.089
ours/n=1000/SPA 2.34 ± 0.018 ms 2.34 ± 0.017 ms 1 ± 0.011
ours/n=1000/USNO 0.278 ± 0.0067 ms 0.277 ± 0.0066 ms 1 ± 0.034
ours/n=1000/Walraven 0.168 ± 0.009 ms 0.169 ± 0.0096 ms 0.998 ± 0.078
ours/n=10000/NOAA 2.96 ± 0.014 ms 2.96 ± 0.019 ms 1 ± 0.008
ours/n=10000/PSA 1.33 ± 0.0094 ms 1.33 ± 0.0089 ms 1 ± 0.0098
ours/n=10000/SPA 23.7 ± 0.13 ms 23.7 ± 0.061 ms 1 ± 0.006
ours/n=10000/USNO 2.83 ± 0.017 ms 2.82 ± 0.017 ms 1.01 ± 0.0086
ours/n=10000/Walraven 1.62 ± 0.0086 ms 1.63 ± 0.0083 ms 0.997 ± 0.0073
ours/n=100000/NOAA 30.5 ± 0.074 ms 30.5 ± 0.1 ms 1 ± 0.0041
ours/n=100000/PSA 13.4 ± 0.034 ms 13.4 ± 0.033 ms 1 ± 0.0036
ours/n=100000/SPA 238 ± 1.6 ms 238 ± 1.3 ms 0.999 ± 0.0088
ours/n=100000/USNO 28.9 ± 0.075 ms 28.8 ± 0.071 ms 1 ± 0.0036
ours/n=100000/Walraven 16.3 ± 0.046 ms 16.3 ± 0.079 ms 0.997 ± 0.0056
refraction/ARCHER 0.0002 ± 1e-05 ms 0.0002 ± 9e-06 ms 1 ± 0.067
refraction/BENNETT 0.00019 ± 1e-06 ms 0.00019 ± 1e-06 ms 1 ± 0.0074
refraction/MICHALSKY 0.000161 ± 1e-05 ms 0.00017 ± 1e-05 ms 0.947 ± 0.081
refraction/NoRefraction 0.00016 ± 1e-06 ms 0.00016 ± 1e-06 ms 1 ± 0.0088
refraction/SG2 0.0002 ± 1e-06 ms 0.0002 ± 1e-06 ms 1 ± 0.0071
single/NOAA 0.000331 ± 1e-05 ms 0.00034 ± 1e-05 ms 0.974 ± 0.041
single/PSA 0.00016 ± 1e-06 ms 0.00016 ± 1e-06 ms 1 ± 0.0088
single/SPA 0.00236 ± 1e-05 ms 0.00236 ± 1e-05 ms 1 ± 0.006
single/USNO 0.00031 ± 1e-05 ms 0.00031 ± 1e-05 ms 1 ± 0.046
single/Walraven 0.000191 ± 1e-05 ms 0.000191 ± 1e-05 ms 1 ± 0.074
solposx/n=100/NOAA 2.27 ± 0.024 ms 2.23 ± 0.026 ms 1.02 ± 0.016
solposx/n=100/PSA 1.57 ± 0.025 ms 1.61 ± 0.021 ms 0.975 ± 0.02
solposx/n=100/SPA 2.19 ± 0.023 ms 2.2 ± 0.025 ms 0.995 ± 0.015
solposx/n=100/USNO 1.88 ± 0.019 ms 1.87 ± 0.021 ms 1.01 ± 0.015
solposx/n=100/Walraven 0.664 ± 0.018 ms 0.653 ± 0.016 ms 1.02 ± 0.037
solposx/n=1000/NOAA 2.82 ± 0.025 ms 2.79 ± 0.027 ms 1.01 ± 0.013
solposx/n=1000/PSA 1.81 ± 0.02 ms 1.85 ± 0.019 ms 0.98 ± 0.015
solposx/n=1000/SPA 5.29 ± 0.074 ms 5.26 ± 0.078 ms 1.01 ± 0.02
solposx/n=1000/USNO 5.02 ± 0.05 ms 5.04 ± 0.049 ms 0.996 ± 0.014
solposx/n=1000/Walraven 0.863 ± 0.019 ms 0.857 ± 0.019 ms 1.01 ± 0.031
solposx/n=10000/NOAA 7.82 ± 0.17 ms 7.84 ± 0.19 ms 0.998 ± 0.032
solposx/n=10000/PSA 4.17 ± 0.12 ms 4.22 ± 0.11 ms 0.989 ± 0.037
solposx/n=10000/SPA 32.3 ± 0.13 ms 32.7 ± 0.19 ms 0.987 ± 0.007
solposx/n=10000/USNO 36 ± 0.48 ms 36.8 ± 0.49 ms 0.98 ± 0.019
solposx/n=10000/Walraven 2.73 ± 0.074 ms 2.72 ± 0.078 ms 1 ± 0.04
solposx/n=100000/NOAA 57.2 ± 0.64 ms 57.6 ± 0.54 ms 0.994 ± 0.015
solposx/n=100000/PSA 27.6 ± 0.83 ms 28.2 ± 0.8 ms 0.98 ± 0.04
solposx/n=100000/SPA 302 ± 1.4 ms 303 ± 0.71 ms 0.998 ± 0.0051
solposx/n=100000/USNO 354 ± 32 ms 358 ± 39 ms 0.988 ± 0.14
solposx/n=100000/Walraven 20.8 ± 0.82 ms 21.2 ± 0.7 ms 0.981 ± 0.05
time_to_load 0.131 ± 0.0015 s 0.131 ± 0.00032 s 1 ± 0.012
Memory benchmarks
main e6ceed5... main / e6ceed5...
ours/n=100/NOAA 5 allocs: 4.38 kB 5 allocs: 4.38 kB 1
ours/n=100/PSA 3 allocs: 2.62 kB 3 allocs: 2.62 kB 1
ours/n=100/SPA 5 allocs: 4.38 kB 5 allocs: 4.38 kB 1
ours/n=100/USNO 3 allocs: 2.62 kB 3 allocs: 2.62 kB 1
ours/n=100/Walraven 3 allocs: 2.62 kB 3 allocs: 2.62 kB 1
ours/n=1000/NOAA 5 allocs: 0.0388 MB 5 allocs: 0.0388 MB 1
ours/n=1000/PSA 3 allocs: 23.8 kB 3 allocs: 23.8 kB 1
ours/n=1000/SPA 5 allocs: 0.0388 MB 5 allocs: 0.0388 MB 1
ours/n=1000/USNO 3 allocs: 23.8 kB 3 allocs: 23.8 kB 1
ours/n=1000/Walraven 3 allocs: 23.8 kB 3 allocs: 23.8 kB 1
ours/n=10000/NOAA 10 allocs: 0.382 MB 10 allocs: 0.382 MB 1
ours/n=10000/PSA 6 allocs: 0.229 MB 6 allocs: 0.229 MB 1
ours/n=10000/SPA 10 allocs: 0.382 MB 10 allocs: 0.382 MB 1
ours/n=10000/USNO 6 allocs: 0.229 MB 6 allocs: 0.229 MB 1
ours/n=10000/Walraven 6 allocs: 0.229 MB 6 allocs: 0.229 MB 1
ours/n=100000/NOAA 10 allocs: 3.81 MB 10 allocs: 3.81 MB 1
ours/n=100000/PSA 6 allocs: 2.29 MB 6 allocs: 2.29 MB 1
ours/n=100000/SPA 10 allocs: 3.81 MB 10 allocs: 3.81 MB 1
ours/n=100000/USNO 6 allocs: 2.29 MB 6 allocs: 2.29 MB 1
ours/n=100000/Walraven 6 allocs: 2.29 MB 6 allocs: 2.29 MB 1
refraction/ARCHER 0 allocs: 0 B 0 allocs: 0 B
refraction/BENNETT 0 allocs: 0 B 0 allocs: 0 B
refraction/MICHALSKY 0 allocs: 0 B 0 allocs: 0 B
refraction/NoRefraction 0 allocs: 0 B 0 allocs: 0 B
refraction/SG2 0 allocs: 0 B 0 allocs: 0 B
single/NOAA 0 allocs: 0 B 0 allocs: 0 B
single/PSA 0 allocs: 0 B 0 allocs: 0 B
single/SPA 0 allocs: 0 B 0 allocs: 0 B
single/USNO 0 allocs: 0 B 0 allocs: 0 B
single/Walraven 0 allocs: 0 B 0 allocs: 0 B
solposx/n=100/NOAA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100/PSA 0.06 k allocs: 1.66 kB 0.06 k allocs: 1.66 kB 1
solposx/n=100/SPA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100/USNO 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100/Walraven 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=1000/NOAA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=1000/PSA 0.06 k allocs: 1.66 kB 0.06 k allocs: 1.66 kB 1
solposx/n=1000/SPA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=1000/USNO 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=1000/Walraven 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=10000/NOAA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=10000/PSA 0.06 k allocs: 1.66 kB 0.06 k allocs: 1.66 kB 1
solposx/n=10000/SPA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=10000/USNO 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=10000/Walraven 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100000/NOAA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100000/PSA 0.06 k allocs: 1.66 kB 0.06 k allocs: 1.66 kB 1
solposx/n=100000/SPA 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100000/USNO 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
solposx/n=100000/Walraven 22 allocs: 0.781 kB 22 allocs: 0.781 kB 1
time_to_load 0.153 k allocs: 14.5 kB 0.153 k allocs: 14.5 kB 1

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Benchmark Results (Julia v1)

Time benchmarks
main e6ceed5... main / e6ceed5...
ours/n=100/NOAA 0.0401 ± 0.00028 ms 0.04 ± 0.00027 ms 1 ± 0.0097
ours/n=100/PSA 0.0173 ± 0.00015 ms 0.0173 ± 0.00015 ms 1 ± 0.012
ours/n=100/SPA 0.309 ± 0.0086 ms 0.308 ± 0.0085 ms 1 ± 0.039
ours/n=100/USNO 0.0381 ± 0.00018 ms 0.0376 ± 0.00021 ms 1.01 ± 0.0074
ours/n=100/Walraven 0.0207 ± 0.00027 ms 0.0208 ± 0.00027 ms 0.994 ± 0.018
ours/n=1000/NOAA 0.394 ± 0.0089 ms 0.394 ± 0.0091 ms 1 ± 0.032
ours/n=1000/PSA 0.173 ± 0.009 ms 0.173 ± 0.0087 ms 1 ± 0.072
ours/n=1000/SPA 3.18 ± 0.023 ms 3.17 ± 0.023 ms 1 ± 0.01
ours/n=1000/USNO 0.372 ± 0.0091 ms 0.368 ± 0.0092 ms 1.01 ± 0.035
ours/n=1000/Walraven 0.207 ± 0.01 ms 0.207 ± 0.011 ms 1 ± 0.071
ours/n=10000/NOAA 3.99 ± 0.023 ms 3.98 ± 0.022 ms 1 ± 0.0079
ours/n=10000/PSA 1.7 ± 0.0088 ms 1.7 ± 0.0089 ms 1 ± 0.0074
ours/n=10000/SPA 32.4 ± 0.084 ms 32.3 ± 0.061 ms 1 ± 0.0032
ours/n=10000/USNO 3.76 ± 0.023 ms 3.72 ± 0.021 ms 1.01 ± 0.0084
ours/n=10000/Walraven 2.08 ± 0.01 ms 2.08 ± 0.012 ms 1 ± 0.0077
ours/n=100000/NOAA 41 ± 0.73 ms 41 ± 0.72 ms 1 ± 0.025
ours/n=100000/PSA 17.5 ± 0.31 ms 17.2 ± 0.1 ms 1.02 ± 0.019
ours/n=100000/SPA 326 ± 1.2 ms 325 ± 0.57 ms 1 ± 0.0042
ours/n=100000/USNO 38.4 ± 0.2 ms 38 ± 0.22 ms 1.01 ± 0.0078
ours/n=100000/Walraven 20.9 ± 0.59 ms 20.9 ± 0.5 ms 1 ± 0.037
refraction/ARCHER 0.000251 ± 1e-05 ms 0.000251 ± 1e-05 ms 1 ± 0.056
refraction/BENNETT 0.000251 ± 1e-05 ms 0.000251 ± 1e-05 ms 1 ± 0.056
refraction/MICHALSKY 0.000211 ± 1e-05 ms 0.000211 ± 1e-05 ms 1 ± 0.067
refraction/NoRefraction 0.00021 ± 1e-06 ms 0.00021 ± 9e-06 ms 1 ± 0.043
refraction/SG2 0.00027 ± 1e-06 ms 0.00027 ± 1e-06 ms 1 ± 0.0052
single/NOAA 0.00045 ± 1e-05 ms 0.000441 ± 1e-05 ms 1.02 ± 0.032
single/PSA 0.00021 ± 1e-06 ms 0.00021 ± 1e-06 ms 1 ± 0.0067
single/SPA 0.00321 ± 1e-05 ms 0.0032 ± 1.1e-05 ms 1 ± 0.0046
single/USNO 0.000401 ± 1e-05 ms 0.000401 ± 1e-05 ms 1 ± 0.035
single/Walraven 0.00026 ± 1e-06 ms 0.00026 ± 1e-06 ms 1 ± 0.0054
solposx/n=100/NOAA 2.89 ± 0.028 ms 2.88 ± 0.03 ms 1 ± 0.014
solposx/n=100/PSA 2 ± 0.022 ms 2.02 ± 0.027 ms 0.989 ± 0.017
solposx/n=100/SPA 2.91 ± 0.027 ms 2.93 ± 0.028 ms 0.995 ± 0.013
solposx/n=100/USNO 2.43 ± 0.029 ms 2.43 ± 0.032 ms 1 ± 0.018
solposx/n=100/Walraven 0.85 ± 0.016 ms 0.856 ± 0.016 ms 0.992 ± 0.027
solposx/n=1000/NOAA 3.5 ± 0.036 ms 3.5 ± 0.035 ms 1 ± 0.014
solposx/n=1000/PSA 2.33 ± 0.027 ms 2.34 ± 0.03 ms 0.995 ± 0.017
solposx/n=1000/SPA 7.27 ± 0.067 ms 7.26 ± 0.074 ms 1 ± 0.014
solposx/n=1000/USNO 6.54 ± 0.064 ms 6.49 ± 0.061 ms 1.01 ± 0.014
solposx/n=1000/Walraven 1.12 ± 0.025 ms 1.13 ± 0.026 ms 0.994 ± 0.032
solposx/n=10000/NOAA 9.51 ± 0.2 ms 9.5 ± 0.2 ms 1 ± 0.03
solposx/n=10000/PSA 5.72 ± 0.16 ms 5.72 ± 0.13 ms 1 ± 0.036
solposx/n=10000/SPA 48 ± 0.34 ms 48.2 ± 0.12 ms 0.995 ± 0.0074
solposx/n=10000/USNO 46.7 ± 0.53 ms 46.5 ± 0.6 ms 1 ± 0.017
solposx/n=10000/Walraven 3.75 ± 0.062 ms 3.75 ± 0.086 ms 1 ± 0.028
solposx/n=100000/NOAA 68.1 ± 0.44 ms 68.2 ± 0.35 ms 0.999 ± 0.0082
solposx/n=100000/PSA 38.8 ± 0.94 ms 38.9 ± 0.98 ms 0.997 ± 0.035
solposx/n=100000/SPA 456 ± 0.79 ms 455 ± 1.3 ms 1 ± 0.0033
solposx/n=100000/USNO 457 ± 35 ms 451 ± 37 ms 1.01 ± 0.11
solposx/n=100000/Walraven 29.3 ± 0.79 ms 29.3 ± 0.77 ms 0.999 ± 0.038
time_to_load 0.174 ± 0.001 s 0.174 ± 0.0008 s 1 ± 0.0075
Memory benchmarks
main e6ceed5... main / e6ceed5...
ours/n=100/NOAA 10 allocs: 4.53 kB 10 allocs: 4.53 kB 1
ours/n=100/PSA 6 allocs: 2.72 kB 6 allocs: 2.72 kB 1
ours/n=100/SPA 10 allocs: 4.53 kB 10 allocs: 4.53 kB 1
ours/n=100/USNO 6 allocs: 2.72 kB 6 allocs: 2.72 kB 1
ours/n=100/Walraven 6 allocs: 2.72 kB 6 allocs: 2.72 kB 1
ours/n=1000/NOAA 15 allocs: 0.0385 MB 15 allocs: 0.0385 MB 1
ours/n=1000/PSA 9 allocs: 23.6 kB 9 allocs: 23.6 kB 1
ours/n=1000/SPA 15 allocs: 0.0385 MB 15 allocs: 0.0385 MB 1
ours/n=1000/USNO 9 allocs: 23.6 kB 9 allocs: 23.6 kB 1
ours/n=1000/Walraven 9 allocs: 23.6 kB 9 allocs: 23.6 kB 1
ours/n=10000/NOAA 15 allocs: 0.382 MB 15 allocs: 0.382 MB 1
ours/n=10000/PSA 9 allocs: 0.229 MB 9 allocs: 0.229 MB 1
ours/n=10000/SPA 15 allocs: 0.382 MB 15 allocs: 0.382 MB 1
ours/n=10000/USNO 9 allocs: 0.229 MB 9 allocs: 0.229 MB 1
ours/n=10000/Walraven 9 allocs: 0.229 MB 9 allocs: 0.229 MB 1
ours/n=100000/NOAA 15 allocs: 3.82 MB 15 allocs: 3.82 MB 1
ours/n=100000/PSA 9 allocs: 2.29 MB 9 allocs: 2.29 MB 1
ours/n=100000/SPA 15 allocs: 3.82 MB 15 allocs: 3.82 MB 1
ours/n=100000/USNO 9 allocs: 2.29 MB 9 allocs: 2.29 MB 1
ours/n=100000/Walraven 9 allocs: 2.29 MB 9 allocs: 2.29 MB 1
refraction/ARCHER 0 allocs: 0 B 0 allocs: 0 B
refraction/BENNETT 0 allocs: 0 B 0 allocs: 0 B
refraction/MICHALSKY 0 allocs: 0 B 0 allocs: 0 B
refraction/NoRefraction 0 allocs: 0 B 0 allocs: 0 B
refraction/SG2 0 allocs: 0 B 0 allocs: 0 B
single/NOAA 0 allocs: 0 B 0 allocs: 0 B
single/PSA 0 allocs: 0 B 0 allocs: 0 B
single/SPA 0 allocs: 0 B 0 allocs: 0 B
single/USNO 0 allocs: 0 B 0 allocs: 0 B
single/Walraven 0 allocs: 0 B 0 allocs: 0 B
solposx/n=100/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=100/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=1000/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=10000/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=100000/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
time_to_load 0.145 k allocs: 11 kB 0.145 k allocs: 11 kB 1

@langestefan langestefan closed this pull request by merging all changes into main in 701f158 Jun 2, 2026
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Benchmark Results (Julia vpre)

Time benchmarks
main e6ceed5... main / e6ceed5...
ours/n=100/NOAA 0.0421 ± 0.00041 ms 0.0417 ± 0.00028 ms 1.01 ± 0.012
ours/n=100/PSA 0.0165 ± 0.00013 ms 0.0165 ± 0.00012 ms 1 ± 0.011
ours/n=100/SPA 0.432 ± 0.017 ms 0.415 ± 0.0088 ms 1.04 ± 0.046
ours/n=100/USNO 0.0393 ± 0.00025 ms 0.0392 ± 0.00025 ms 1 ± 0.0091
ours/n=100/Walraven 0.0192 ± 0.00048 ms 0.0193 ± 0.00043 ms 0.995 ± 0.033
ours/n=1000/NOAA 0.412 ± 0.0092 ms 0.411 ± 0.0092 ms 1 ± 0.032
ours/n=1000/PSA 0.165 ± 0.0029 ms 0.164 ± 0.0017 ms 1 ± 0.02
ours/n=1000/SPA 4.46 ± 0.1 ms 4.34 ± 0.096 ms 1.03 ± 0.033
ours/n=1000/USNO 0.388 ± 0.01 ms 0.384 ± 0.009 ms 1.01 ± 0.035
ours/n=1000/Walraven 0.193 ± 0.008 ms 0.193 ± 0.0083 ms 0.998 ± 0.06
ours/n=10000/NOAA 4.12 ± 0.024 ms 4.12 ± 0.033 ms 1 ± 0.0099
ours/n=10000/PSA 1.66 ± 0.014 ms 1.65 ± 0.011 ms 1 ± 0.011
ours/n=10000/SPA 43.7 ± 0.77 ms 43.5 ± 0.28 ms 1 ± 0.019
ours/n=10000/USNO 3.88 ± 0.032 ms 3.87 ± 0.024 ms 1 ± 0.01
ours/n=10000/Walraven 1.95 ± 0.01 ms 1.95 ± 0.011 ms 0.999 ± 0.0076
ours/n=100000/NOAA 42.1 ± 1.4 ms 42.1 ± 1.6 ms 1 ± 0.049
ours/n=100000/PSA 16.7 ± 0.59 ms 16.6 ± 0.53 ms 1 ± 0.048
ours/n=100000/SPA 448 ± 8.7 ms 439 ± 7.1 ms 1.02 ± 0.026
ours/n=100000/USNO 39.5 ± 1 ms 39.3 ± 0.99 ms 1.01 ± 0.036
ours/n=100000/Walraven 19.5 ± 0.16 ms 19.5 ± 0.58 ms 1 ± 0.031
refraction/ARCHER 0.00023 ± 1e-06 ms 0.00023 ± 1e-05 ms 1 ± 0.044
refraction/BENNETT 0.00023 ± 1e-06 ms 0.00023 ± 1e-06 ms 1 ± 0.0061
refraction/MICHALSKY 0.00019 ± 1e-06 ms 0.00019 ± 1e-06 ms 1 ± 0.0074
refraction/NoRefraction 0.00019 ± 1e-06 ms 0.00019 ± 1e-05 ms 1 ± 0.053
refraction/SG2 0.000241 ± 1e-05 ms 0.000241 ± 1e-05 ms 1 ± 0.059
single/NOAA 0.000441 ± 9e-06 ms 0.000441 ± 9e-06 ms 1 ± 0.029
single/PSA 0.00019 ± 1e-05 ms 0.00019 ± 1e-05 ms 1 ± 0.074
single/SPA 0.00391 ± 9e-05 ms 0.00387 ± 4.1e-05 ms 1.01 ± 0.026
single/USNO 0.000401 ± 1e-06 ms 0.000401 ± 1e-06 ms 1 ± 0.0035
single/Walraven 0.000231 ± 1e-06 ms 0.000231 ± 1e-06 ms 1 ± 0.0061
solposx/n=100/NOAA 4.06 ± 0.095 ms 4.1 ± 0.096 ms 0.99 ± 0.033
solposx/n=100/PSA 2.9 ± 0.062 ms 2.92 ± 0.057 ms 0.994 ± 0.029
solposx/n=100/SPA 3.15 ± 0.057 ms 3.15 ± 0.046 ms 1 ± 0.023
solposx/n=100/USNO 3.11 ± 0.055 ms 3.15 ± 0.057 ms 0.986 ± 0.025
solposx/n=100/Walraven 1.16 ± 0.03 ms 1.18 ± 0.03 ms 0.987 ± 0.035
solposx/n=1000/NOAA 4.72 ± 0.096 ms 4.77 ± 0.093 ms 0.989 ± 0.028
solposx/n=1000/PSA 3.27 ± 0.071 ms 3.31 ± 0.056 ms 0.989 ± 0.027
solposx/n=1000/SPA 7.81 ± 0.15 ms 7.87 ± 0.21 ms 0.993 ± 0.032
solposx/n=1000/USNO 7.41 ± 0.11 ms 7.37 ± 0.11 ms 1 ± 0.021
solposx/n=1000/Walraven 1.46 ± 0.04 ms 1.47 ± 0.041 ms 0.989 ± 0.039
solposx/n=10000/NOAA 10.7 ± 0.15 ms 10.8 ± 0.21 ms 0.994 ± 0.023
solposx/n=10000/PSA 6.72 ± 0.14 ms 6.8 ± 0.19 ms 0.988 ± 0.035
solposx/n=10000/SPA 51.2 ± 0.33 ms 51.8 ± 0.42 ms 0.988 ± 0.01
solposx/n=10000/USNO 50.2 ± 0.73 ms 50 ± 0.64 ms 1 ± 0.019
solposx/n=10000/Walraven 3.99 ± 0.071 ms 4.03 ± 0.079 ms 0.99 ± 0.026
solposx/n=100000/NOAA 67.4 ± 0.65 ms 67.3 ± 0.46 ms 1 ± 0.012
solposx/n=100000/PSA 39.5 ± 0.51 ms 39.7 ± 0.53 ms 0.994 ± 0.019
solposx/n=100000/SPA 509 ± 2.6 ms 511 ± 6.5 ms 0.996 ± 0.014
solposx/n=100000/USNO 478 ± 36 ms 471 ± 33 ms 1.01 ± 0.1
solposx/n=100000/Walraven 29.3 ± 0.42 ms 29.4 ± 0.45 ms 0.998 ± 0.021
time_to_load 0.132 ± 0.0036 s 0.133 ± 0.0049 s 0.995 ± 0.046
Memory benchmarks
main e6ceed5... main / e6ceed5...
ours/n=100/NOAA 10 allocs: 4.53 kB 10 allocs: 4.53 kB 1
ours/n=100/PSA 6 allocs: 2.72 kB 6 allocs: 2.72 kB 1
ours/n=100/SPA 10 allocs: 4.53 kB 10 allocs: 4.53 kB 1
ours/n=100/USNO 6 allocs: 2.72 kB 6 allocs: 2.72 kB 1
ours/n=100/Walraven 6 allocs: 2.72 kB 6 allocs: 2.72 kB 1
ours/n=1000/NOAA 15 allocs: 0.0385 MB 15 allocs: 0.0385 MB 1
ours/n=1000/PSA 9 allocs: 23.6 kB 9 allocs: 23.6 kB 1
ours/n=1000/SPA 15 allocs: 0.0385 MB 15 allocs: 0.0385 MB 1
ours/n=1000/USNO 9 allocs: 23.6 kB 9 allocs: 23.6 kB 1
ours/n=1000/Walraven 9 allocs: 23.6 kB 9 allocs: 23.6 kB 1
ours/n=10000/NOAA 15 allocs: 0.382 MB 15 allocs: 0.382 MB 1
ours/n=10000/PSA 9 allocs: 0.229 MB 9 allocs: 0.229 MB 1
ours/n=10000/SPA 15 allocs: 0.382 MB 15 allocs: 0.382 MB 1
ours/n=10000/USNO 9 allocs: 0.229 MB 9 allocs: 0.229 MB 1
ours/n=10000/Walraven 9 allocs: 0.229 MB 9 allocs: 0.229 MB 1
ours/n=100000/NOAA 15 allocs: 3.82 MB 15 allocs: 3.82 MB 1
ours/n=100000/PSA 9 allocs: 2.29 MB 9 allocs: 2.29 MB 1
ours/n=100000/SPA 15 allocs: 3.82 MB 15 allocs: 3.82 MB 1
ours/n=100000/USNO 9 allocs: 2.29 MB 9 allocs: 2.29 MB 1
ours/n=100000/Walraven 9 allocs: 2.29 MB 9 allocs: 2.29 MB 1
refraction/ARCHER 0 allocs: 0 B 0 allocs: 0 B
refraction/BENNETT 0 allocs: 0 B 0 allocs: 0 B
refraction/MICHALSKY 0 allocs: 0 B 0 allocs: 0 B
refraction/NoRefraction 0 allocs: 0 B 0 allocs: 0 B
refraction/SG2 0 allocs: 0 B 0 allocs: 0 B
single/NOAA 0 allocs: 0 B 0 allocs: 0 B
single/PSA 0 allocs: 0 B 0 allocs: 0 B
single/SPA 0 allocs: 0 B 0 allocs: 0 B
single/USNO 0 allocs: 0 B 0 allocs: 0 B
single/Walraven 0 allocs: 0 B 0 allocs: 0 B
solposx/n=100/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=100/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=1000/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=1000/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=10000/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=10000/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/NOAA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/PSA 0.039 k allocs: 1.2 kB 0.039 k allocs: 1.2 kB 1
solposx/n=100000/SPA 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/USNO 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
solposx/n=100000/Walraven 10 allocs: 0.531 kB 10 allocs: 0.531 kB 1
time_to_load 0.205 k allocs: 11.9 kB 0.205 k allocs: 11.9 kB 1

@langestefan langestefan deleted the arbitrary-precision branch June 2, 2026 13:32
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