mirror of
https://github.com/42wim/matterbridge
synced 2024-11-15 06:12:55 +00:00
55 lines
2.1 KiB
Plaintext
55 lines
2.1 KiB
Plaintext
This library is a toy proof-of-concept implementation of the
|
|
well-known Schonhage-Strassen method for multiplying integers.
|
|
It is not expected to have a real life usecase outside number
|
|
theory computations, nor is it expected to be used in any production
|
|
system.
|
|
|
|
If you are using it in your project, you may want to carefully
|
|
examine the actual requirement or problem you are trying to solve.
|
|
|
|
# Comparison with the standard library and GMP
|
|
|
|
Benchmarking math/big vs. bigfft
|
|
|
|
Number size old ns/op new ns/op delta
|
|
1kb 1599 1640 +2.56%
|
|
10kb 61533 62170 +1.04%
|
|
50kb 833693 831051 -0.32%
|
|
100kb 2567995 2693864 +4.90%
|
|
1Mb 105237800 28446400 -72.97%
|
|
5Mb 1272947000 168554600 -86.76%
|
|
10Mb 3834354000 405120200 -89.43%
|
|
20Mb 11514488000 845081600 -92.66%
|
|
50Mb 49199945000 2893950000 -94.12%
|
|
100Mb 147599836000 5921594000 -95.99%
|
|
|
|
Benchmarking GMP vs bigfft
|
|
|
|
Number size GMP ns/op Go ns/op delta
|
|
1kb 536 1500 +179.85%
|
|
10kb 26669 50777 +90.40%
|
|
50kb 252270 658534 +161.04%
|
|
100kb 686813 2127534 +209.77%
|
|
1Mb 12100000 22391830 +85.06%
|
|
5Mb 111731843 133550600 +19.53%
|
|
10Mb 212314000 318595800 +50.06%
|
|
20Mb 490196000 671512800 +36.99%
|
|
50Mb 1280000000 2451476000 +91.52%
|
|
100Mb 2673000000 5228991000 +95.62%
|
|
|
|
Benchmarks were run on a Core 2 Quad Q8200 (2.33GHz).
|
|
FFT is enabled when input numbers are over 200kbits.
|
|
|
|
Scanning large decimal number from strings.
|
|
(math/big [n^2 complexity] vs bigfft [n^1.6 complexity], Core i5-4590)
|
|
|
|
Digits old ns/op new ns/op delta
|
|
1e3 9995 10876 +8.81%
|
|
1e4 175356 243806 +39.03%
|
|
1e5 9427422 6780545 -28.08%
|
|
1e6 1776707489 144867502 -91.85%
|
|
2e6 6865499995 346540778 -94.95%
|
|
5e6 42641034189 1069878799 -97.49%
|
|
10e6 151975273589 2693328580 -98.23%
|
|
|