mirror of
https://github.com/ruby/ruby.git
synced 2022-11-09 12:17:21 -05:00
1866d483dc
Miller Rabin algorithm can be used to test primality for integers smaller than a max value "MaxMR" (~3e24) It can be much faster than previous implementation: ~100x faster for numbers with 13 digits, at least 5 orders of magnitude for even larger numbers (previous implementation is so slow that it requires more patience than I have for more precise estimate). Miller Rabin test becomes faster than previous implementation at somewhere in the range 1e5-1e6. It seems that the range 62000..66000 is where Miller Rabin starts being always faster, so I picked 0xffff arbitrarily; before that, or above "MaxMR", the previous implementation remains. I compared the `faster_prime` gem too. It is slower than previous implementation up to ~1e4. After that it becomes faster and faster compared to previous implementation, but is still slower than Miller Rabin starting at ~1e5 and up to MaxMR. Thus, after this commit, builtin `Integer#prime?` will be similar or faster than `faster_prime` up to "MaxMR". Adapted from patch of Stephen Blackstone [Feature #16468] Benchmark results and code: https://gist.github.com/marcandre/b263bdae488e76dabdda84daf73733b9 Co-authored-by: Stephen Blackstone <sblackstone@gmail.com> |
||
|---|---|---|
| .. | ||
| -ext- | ||
| base64 | ||
| benchmark | ||
| bigdecimal | ||
| cgi | ||
| coverage | ||
| csv | ||
| date | ||
| dbm | ||
| did_you_mean | ||
| digest | ||
| drb | ||
| dtrace | ||
| erb | ||
| etc | ||
| excludes | ||
| fiber | ||
| fiddle | ||
| fileutils | ||
| gdbm | ||
| io | ||
| irb | ||
| json | ||
| lib | ||
| logger | ||
| matrix | ||
| mkmf | ||
| monitor | ||
| net | ||
| nkf | ||
| objspace | ||
| open-uri | ||
| openssl | ||
| optparse | ||
| ostruct | ||
| pathname | ||
| psych | ||
| racc | ||
| rdoc | ||
| readline | ||
| reline | ||
| resolv | ||
| rinda | ||
| ripper | ||
| ruby | ||
| rubygems | ||
| socket | ||
| stringio | ||
| strscan | ||
| syslog | ||
| uri | ||
| webrick | ||
| win32ole | ||
| yaml | ||
| zlib | ||
| runner.rb | ||
| test_abbrev.rb | ||
| test_delegate.rb | ||
| test_extlibs.rb | ||
| test_find.rb | ||
| test_forwardable.rb | ||
| test_ipaddr.rb | ||
| test_mutex_m.rb | ||
| test_observer.rb | ||
| test_open3.rb | ||
| test_pp.rb | ||
| test_prettyprint.rb | ||
| test_prime.rb | ||
| test_pstore.rb | ||
| test_pty.rb | ||
| test_rbconfig.rb | ||
| test_securerandom.rb | ||
| test_set.rb | ||
| test_shellwords.rb | ||
| test_singleton.rb | ||
| test_syslog.rb | ||
| test_tempfile.rb | ||
| test_time.rb | ||
| test_timeout.rb | ||
| test_tmpdir.rb | ||
| test_tracer.rb | ||
| test_tsort.rb | ||
| test_unicode_normalize.rb | ||
| test_weakref.rb | ||