** Preface for mfakto 0.15pre6 **
This is a developmental version of mfakto. It has been verified to produce
correct results. However, performance has not been optimized and there may be
bugs and incomplete features. Please help improve mfakto by doing tests,
providing feedback and reporting issues. Of course, code contributions are
always welcome too.
You can get support via the following means:
- the official thread at the GIMPS forum:
https://mersenneforum.org/showthread.php?t=15646
- opening a ticket on GitHub: https://github.com/Bdot42/mfakto/issues
- contacting Bertram Franz at [email protected]
#################
# mfakto README #
#################
Contents
0 What is mfakto?
1 Compilation
1.1 Linux
1.2.1 Windows: MSVC
1.2.2 Windows: MinGW
1.3 macOS
2 Running mfakto
2.1 Supported GPUs
2.2 Linux
2.3 Windows
2.4 macOS
3 Getting work and reporting results
4 Known issues
4.1 Non-issues
5 Tuning
6 FAQ
7 Plans
#####################
# 0 What is mfakto? #
#####################
mfakto is an OpenCL port of mfaktc that aims to have the same features and
functions. mfaktc is a program that trial factors Mersenne numbers. It stands
for "Mersenne faktorisation* with CUDA" and was written for Nvidia GPUs. mfakto
is used primarily in the Great Internet Mersenne Prime Search.
Primality tests are computationally intensive, but we can save time by finding
small factors. GPUs are very efficient at this task due to their parallel
nature. Only one factor is needed to prove a number composite.
Using a modified Sieve of Eratosthenes, mfakto generates a list of possible
factors for a given Mersenne number. It then uses modular exponentiation to
test these factors. Although this step is only done on the GPU in practice,
mfakto can perform both steps on either the CPU or GPU. You can find more
details at the GIMPS website:
https://mersenne.org/various/math.php#trial_factoring
* portmanteau of the English word "factorisation" and the German word
"Faktorisierung"
#################
# 1 Compilation #
#################
General requirements:
- C and C++ development tools
- an OpenCL SDK
Please note: the AMD APP SDK has been discontinued. If you still decide to use
it to compile mfakto, make sure you have version 2.5 or later. You can download
the AMD APP SDK here: https://community.amd.com/thread/227948
#############
# 1.1 Linux #
#############
Requires:
- ROCm
Steps:
- install ROCm
- navigate to the mfakto folder
- cd src
- verify that the AMD_APP_DIR variable in the makefile points to the SDK
installation directory
- make
- mfakto should compile without errors in its root folder
#######################
# 1.2.1 Windows: MSVC #
#######################
Requires:
- Microsoft Visual Studio 2012
- GPUOpen OpenCL SDK
Steps:
- install the GPUOpen OpenCL SDK
- launch Visual Studio and open the mfaktoVS12.sln file. You can use a later
version as Visual Studio will automatically convert your projects. If the
option does not appear, then right-click the solution and select "Retarget
solution" from the menu.
- open the project properties and select the configuration and platform
- go to C/C++ > General > Additional Include Directories and add the path to
the OpenCL headers:
%OCL_ROOT%\include
- then go to Linker > General > Additional Library Directories and add the path
to the appropriate library folder:
32-bit -> %OCL_ROOT%\lib\x86
64-bit -> %OCL_ROOT%\lib\x86_64
- select Build > Build Solution to compile mfakto
########################
# 1.2.2 Windows: MinGW #
########################
Requires:
- MinGW
- GPUOpen OpenCL SDK
- optional: MSYS2
Initial steps:
- install the GPUOpen OpenCL SDK
- add the "bin" folder in the MinGW directory to your system Path variable
- verify that the AMD_APP_DIR variable in the makefile points to the SDK
installation directory (see note)
MinGW can be used with or without MSYS to compile mfakto. In the latter case:
- navigate to the mfakto folder
- cd src
- mingw32-make
Otherwise:
- install MSYS2 using the instructions at the home page: https://www.msys2.org
- launch the MSYS2 shell and install the required packages:
pacman -S mingw-w64-x86_64-gcc make
- launch the 32-bit or 64-bit MinGW shell and navigate to the mfakto folder
- cd src
- make (cross your fingers)
Important note: make does not support spaces in file names. If your OpenCL SDK
installation directory contains spaces, then you will need to either create a
symbolic link or copy the files to another folder.
#############
# 1.3 macOS #
#############
Requires:
- Command Line Tools
Steps:
- cd src
- make -f Makefile.macOS
- mfakto should compile out of the box as macOS contains a native OpenCL
implementation
####################
# 2 Running mfakto #
####################
General requirements:
- AMD Catalyst 11.4 or higher. Consider using 11.10 or above as the AMD APP SDK
has been discontinued.
- otherwise: AMD APP SDK 2.5 or higher
- for Intel integrated GPUs: Compute Runtime for OpenCL
macOS users do not need any additional software as OpenCL is already part of
the system.
Open a terminal window and run 'mfakto -h' for possible parameters. You may
also want to check mfakto.ini for additional settings. mfakto typically fetches
work from worktodo.txt as specified in the INI file. See section 3 on how to
obtain assignments and report results.
A typical worktodo.txt file looks like this:
-- begin example --
Factor=[...],66362159,64,68
Factor=[...],3321932899,76,77
-- end example --
You can launch mfakto after getting assignments. It should trial factor
M66362159 from 64 to 68 bits, followed by M3321932899 from 76 to 77 bits.
mfakto has a built-in self-test that automatically optimizes parameters. Please
run 'mfakto -st' each time you:
- Recompile the code
- Download a new binary from somewhere
- Change the graphics driver
- Change your hardware
######################
# 2.1 Supported GPUs #
######################
AMD:
- all devices that support OpenCL 1.1 or later
- all APUs
- OpenCL 1.0 devices, such as the FireStream 9250 / 9270 and Radeon HD 4000
series, can also run mfakto but do not support atomic operations*
- not supported: FireStream 9170 and Radeon HD 2000 / 3000 series (as kernel
compilation fails)
Other:
- Intel HD Graphics 4000 and later. Self-tests currently fail on macOS.
- OpenCL-enabled CPUs via the '-d c' option
- not currently supported: Nvidia devices
* without atomics, mfakto does not correctly process multiple factors found in
the same block / grid. Tests have shown that it will report only one factor. It
may even return a scrambled factor due to a mix of bytes from multiple factors.
PrimeNet will automatically reject factors that do not divide a Mersenne
number. If this happens, rerun the exponent and bit level on the CPU with
either the '-d c' option or Prime95 / mprime.
#############
# 2.2 Linux #
#############
- build mfakto using the above instructions
- run mfakto
###############
# 2.3 Windows #
###############
Requirements:
- AMD Catalyst 11.4 is the minimum required version. Consider using 11.10 or
above as the AMD APP SDK has been discontinued.
- otherwise: AMD APP SDK 2.5 or higher. In this case, make sure the path to the
appropriate library folder is in the system Path variable:
32-bit -> %AMDAPPSDKROOT%\lib\x86
64-bit -> %AMDAPPSDKROOT%\lib\x86_64
- you may need the Microsoft Visual C++ 2010 Redistributable Package for your
platform and language:
32-bit -> https://microsoft.com/en-us/download/details.aspx?id=5555
64-bit -> https://microsoft.com/en-us/download/details.aspx?id=14632
Steps:
- build mfakto using the above instructions or download a stable version. Only
the 64-bit binary is currently distributed.
- go to the mfakto folder and launch the executable
- mfakto defaults to the first AMD GPU it finds. To use the Intel integrated
GPU, you may need to specify it using the -d option.
#############
# 2.4 macOS #
#############
- build mfakto using the above instructions
- mfakto should run without any additional software
########################################
# 3 Getting work and reporting results #
########################################
You must have a PrimeNet account to participate. Simply visit the GIMPS website
at https://mersenne.org to create one. Once you've signed up, you can get
assignments in several ways.
From the GIMPS website:
Step 1) log in to the GIMPS website with your username and password
Step 2) on the menu bar, select Manual Testing > Assignments
Step 3) open the link to the manual GPU assignment request form
Step 4) enter the number of assignments or GHz-days you want
Step 5) click "Get Assignments"
Users with older GPUs may want to use the regular form.
Using the GPU to 72 tool:
GPU to 72 is a website that "subcontracts" assignments from the PrimeNet
server. It was previously the only means to obtain work at high bit levels.
Although the manual GPU assignment form now serves this purpose, GPU to 72
remains the more popular option.
GPU to 72 website: https://gpu72.com
Using the MISFIT tool:
MISFIT is a Windows tool that automatically requests assignments and
submits results. You can get it here: https://mersenneforum.org/misfit
From mersenne.ca:
James Heinrich's website mersenne.ca offers assignments for exponents up
to 32 bits. You can get such work here: https://mersenne.ca/tf1G
Be aware that mfakto currently does not work below 60 bits.
Advanced usage:
As mfakto works best on long-running jobs, you may want to manually extend
your assignments. Let's assume you've received an assignment like this:
Factor=[...],78467119,65,66
This means the PrimeNet server has assigned you to trial factor M78467119
from 65 to 66 bits. However, take a look at the factoring limits:
http://mersenne.org/various/math.php
According to the table, the exponent is factored to 71 bits before being
tested. Because mfakto runs very fast on modern GPUs, you might want to go
directly to 71 or even 72 bits. Simply edit the ending bit level before
starting mfakto. For example:
Factor=[...],78467119,65,72
It is important to submit the results once you're done. Do not report
partial results as the exponent may be reassigned to someone else in the
interim, resulting in duplicate work and wasted cycles.
Please do not manually extend assignments from GPU to 72 as users are
requested not to "trial factor past the level you've pledged."
Once you have your assignments, copy the "Factor=..." lines directly into
your worktodo.txt file. Start mfakto, sit back and let it do its job.
Running mfakto is also a great way to stress test your GPU. ;-)
Submitting results:
mfakto currently cannot communicate with the PrimeNet server, so you must
manually submit the results. To prevent abuse, admin approval is required
for manual submissions. You can request approval by contacting George
Woltman at [email protected] or posting on the GIMPS forum:
https://mersenneforum.org/forumdisplay.php?f=38
Step 1) log in to the GIMPS website with your username and password
Step 2) on the menu bar, select Manual Testing > Results
Step 3) upload the results.txt file produced by mfakto. You may archive or
delete the file after it has been processed.
There are several tools that can automate this process. You can find a
complete list here:
https://mersenneforum.org/showpost.php?p=465293&postcount=24
##################
# 4 Known issues #
##################
- On some devices, such as the Radeon HD 7700 - 7900 series, mfakto may be very
slow at full GPU load. It will warn about this during startup.
This is due to fewer registers being available to the kernels.
Set VectorSize=2 in mfakto.ini and restart mfakto to resolve this.
- The user interface has not been extensively tested against invalid inputs.
Although there are some checks, they are not foolproof by any means.
- Your GUI may lag while running mfakto. In severe cases, Windows may restart
the driver or even throw a BSoD.
Try lowering GridSize or NumStreams in your mfakto.ini file. Smaller grids
should have better responsiveness at a slight performance loss. To prevent
graphics driver crashes on Windows, another option is to increase the GPU
processing time: https://support.microsoft.com/en-us/help/2665946
- SievePrimesAdjust is not always optimal. Test it out to find the best
SievePrimes value and set SievePrimesAdjust to 0 in your mfakto.ini file.
- GPU is not found, fallback to CPU
This happens on Linux when there is no X server. It can also happen on
Windows when the GPU is not the primary display adapter. Try running mfakto
on the main display rather than remotely. If that fails, then your graphics
driver may be too old. It's also possible that the first GPU is not an AMD
one. In this case, use the -d switch to specify a different device number.
You can run clinfo to get a list of devices.
##################
# 4.1 Non-issues #
##################
- mfakto runs slower on small ranges. Usually it doesn't make much sense to
run mfakto with an upper limit below 64 bits. mfaktc is designed to find
factors between 64 and 92 bits and is best suited for long-running jobs.
- mfakto can find factors outside the given range.
This is because mfakto works on huge factor blocks, controlled by GridSize in
the INI file. The default value GridSize=3 means mfakto runs up to 1048576
factor candidates at once, per class. So the last block of each class is
filled with factor candidates above the upper limit. This is a huge overhead
for small ranges but can be safely ignored for larger ranges. For example,
the average overhead is 0.5% for a class with 100 blocks but only 0.05% for
one with 1000 blocks.
############
# 5 Tuning #
############
You can find additional settings in the mfakto.ini file. Read it carefully
before making changes. ;-)
#########
# 6 FAQ #
#########
Q: Does mfakto support multiple GPUs?
A: No, but you can use the -d option to tell an instance to run on a specific
device. Please also read the next question.
Q: Can I run multiple instances of mfakto on the same computer?
A: Yes. In most cases, this is necessary to make full use of a GPU when sieving
on the CPU. Otherwise, one instance should fully utilize a single GPU.
Q: What tasks should I assign to mfakto?
A: The 73-bit Barrett kernel is currently the fastest and works for factors
between 60 to 73 bits. Selecting tasks for this kernel will give best
results. However, the 79-bit Barrett kernel is quite fast too.
Q: I modified something in the kernel files, but my changes are not picked up
by mfakto. How come?
A: mfakto tries to load the pre-compiled kernel files in version 0.14 and
later. The INI file parameter UseBinfile defines the name of the file
containing the pre-compiled kernels. You can force mfakto to recompile the
kernels by deleting the file and restarting mfakto.
###########
# 7 Plans #
###########
- keep features/changes in sync with mfaktc
- performance improvements whenever I find them ;)
- documentation and comments in code
- full 95-bit implementation
- perftest modes for kernel speed.
- build a GCN-assembler-kernel