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Automated integer factorization
This project forked from bbuhrow/yafu
Automated integer factorization
------------------------------------------------------------------------------- INTRODUCTION ------------------------------------------------------------------------------- YAFU is the result of an ongoing hobby project to understand how to factor large integers, and how to factor them fast. Various motivations exist for doing this, but mostly it boils down to the facts that A) I like to do it, and B) for some reason factoring integers is cool. The fact that integer factorization is used real world public-key encryption schemes, and lots of people owning black helicopters therefore have a vested interest in it, might have something to do with that. This is not to say that YAFU is useful for factoring public keys, but there are plenty of other numbers out there and it is still fun to do. A community of factorization enthusiasts can be found at mersenneforum.org. ------------------------------------------------------------------------------- OVERVIEW ------------------------------------------------------------------------------- YAFU (with assistance from other free software) uses the most powerful modern algorithms (and implementations of them) to factor input integers in a completely automated way. The automation within YAFU is state-of-the-art, combining factorization algorithms in an intelligent and adaptive methodology that minimizes the time to find the factors of arbitrary input integers. It is most optimized for general inputs up to 160 digits in size, although there is support for inputs much larger than that, if they have a special form. There are also specialized functions for handling lists of inputs and ranges of contiguous smaller inputs. YAFU is primarily a command-line driven tool. You provide the number to factor and, via screen output and log files, YAFU will provide you the factors. But that's not all! You also get an interactive environment similar to MATLAB or PARI/GP, where you can type commands and store results. The functionality of this interface is limited, but perhaps useful, and I have plans to make it better. YAFU also provides a vast amount of flexibility, through many many options and a very capable expression interpreter. If you know what you are doing, or if you read the documentation enough, you can customize the operation of YAFU a great deal. You should have received a copy of docfile.txt, which explains in some detail all of the available functions, how to use them, and how to influence their behavior. ------------------------------------------------------------------------------- INSTALLATION ------------------------------------------------------------------------------- No installation necessary, just put the binary in whatever location you like and run it. Files that YAFU generates are placed alonside the binary, and directories/files that YAFU needs are with respect to the binary location (such as the ggnfs sievers, see below) Support and an active user community can be found here: http://www.mersenneforum.org/forumdisplay.php?f=96 ------------------------------------------------------------------------------- INSTALLATION WITH NUMBER FIELD SIEVE (NFS) SUPPORT ------------------------------------------------------------------------------- To run the general or special number field sieve using YAFU, you will need to provide ggnfs executable files and make the location of these files known to YAFU at runtime. The easiest way to obtain the files is through Jeff Gilchrist's website: http://gilchrist.ca/jeff/factoring/index.html Download the .zip file for your OS and unzip it to a directory on your computer. The easiest way to let yafu know where these are is to create/modify a yafu.ini file (which should appear in the same directory as your YAFU executable) to contain a line specifying ggnfs_dir in the following way: ggnfs_dir=<location relative to yafu executable> For instance, if your ggnfs executables were located adjacent to the yafu folder in the directory tree, in a folder called ggnfs-bin, then the line would be: ggnfs_dir=..\ggnfs-bin\ The ggnfs executables accomplish the sieving portion of NFS. The other phases are all handled internally to YAFU via a supporting library, msieve. Here are some quick references on for more information about the number field sieve or msieve: http://mathworld.wolfram.com/NumberFieldSieve.html http://en.wikipedia.org/wiki/General_number_field_sieve http://sourceforge.net/projects/msieve/ http://www.boo.net/~jasonp/qs.html ------------------------------------------------------------------------------- BUILD INFORMATION ------------------------------------------------------------------------------- Pre-compiled binaries are provided for windows. However, anyone is welcome to compile from source for your own system. If you can make a binary which beats the performance of one of the pre-compiled versions for a particular architecture, I'd love to hear about it! Linux 64 bit OS (including Windows Subsystem for Linux, WSL) ============= make yafu [NFS=1] [USE_SSE41=1] [USE_AVX2=1] [USE_BMI2=1] [SKYLAKEX=1] [ICELAKE=1] I've built and tested with gcc and icc. Enable either by using COMPILER=gcc or COMPILER=icc on the make line. Optionally enable GNFS factorizations by setting NFS=1 during make. This will require the makefile to be edited to point to the libmsieve.a library. By default, it is assumed to be located at ../msieve/ relative to the Makefile. YAFU now requires several other projects to be built before yafu. These are: gmp (https://gmplib.org/) gmp-ecm (http://ecm.gforge.inria.fr/) ytools (https://github.com/bbuhrow/ytools) ysieve (https://github.com/bbuhrow/ysieve) Some support can be had here: http://www.mersenneforum.org/forumdisplay.php?f=96 If your computer supports them, yafu can make use of several modern instruction set extensions, including SSE41, AVX2, and AVX512 (various extensions). SKYLAKEX will add support for AVX512F and AVX512BW. ICELAKE will add support for AVX512F, AVX512BW, and AVX512IFMA. Primarily these are used in SIQS. If you have AVX512 on your cpu, yafu will also use AVX-ECM as the default ECM implementation. For a standalone version of AVX-ECM, please refer to: https://github.com/bbuhrow/avx-ecm WINDOWS MS Visual Studio ============= Build files are available for several versions of MSVC. The directory structure is important for these builds, especially if GMP-ECM or NFS support is desired. The build files expect to see an mpir, msieve, gmp-ecm, ytools, and ysieve folder at the same level as the YAFU folder in the directory tree, with the following structure: msieve build.vc10 common Win32 Release common.lib x64 Release common.lib gnfs Win32 Release gnfs.lib x64 Release gnfs.lib gmp-ecm ecm.h config.h build.vc9 Win32 Release ecm.lib x64 Release ecm.lib build.vc10 Win32 Release libecm.lib x64 Release libecm.lib mpir gmp.h config.h gmp-mparam.h mpir.h build.vc9 Win32 Release mpir.lib x64 Release mpir.lib build.vc10 Win32 Release mpir.lib x64 Release mpir.lib yafu trunk build.vc9 ... build.vc10 ... ytools ytools x64 Release ytools.lib ysieve ysieve_lib x64 Release ysieve_lib.lib The mpir and gmp-ecm libraries will need to be built separately, for either Win32 or x64 targets. To change the target for a yafu build, within MSVC select Build -> Configuration Manger then in the Active Solution Platform pulldown choose x64 or Win32. MINGW-64 ============= YAFU should build in mingw-64 environment. The src zip file should include a Makefile.mingw for this purpose. The build should be similar to a linux build. This option is less-well tested. OTHER ============= If you build yafu on other platforms or using other IDE's or compilers, please let me know about it. ------------------------------------------------------------------------------- HELP INFORMATION ------------------------------------------------------------------------------- Detailed documentation is available in docfile.txt, which can be viewed during an interactive YAFU session by typing 'help'. The default yafu.ini also contains descriptions of available options. If you want to see the docfile from within the program, it needs to be in the same directory as the executable. Check back at https://github.com/bbuhrow/yafu for updates. --------------------------------------------------------------- MISC INFORMATION --------------------------------------------------------------- Here's a fun test case for factor(), which uses many of the algorithms in yafu factor(2056802480868100646375721251575555494408897387375737955882170045672576386016591560879707933101909539325829251496440620798637813) neat example for ecm: 140870298550359924914704160737419905257747544866892632000062896476968602578482966342704
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