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Developer manual
OpenBLAS/
├── benchmark Benchmark codes for BLAS
├── cmake CMakefiles
├── ctest Test codes for CBLAS interfaces
├── driver Implemented in C
│ ├── level2
│ ├── level3
│ ├── mapper
│ └── others Memory management, threading, etc
├── exports Generate shared library
├── interface Implement BLAS and CBLAS interfaces (calling driver or kernel)
│ ├── lapack
│ └── netlib
├── kernel Optimized assembly kernels for CPU architectures
│ ├── alpha Original GotoBLAS kernels for DEC Alpha
│ ├── arm ARMV5,V6,V7 kernels (including generic C codes used by other architectures)
│ ├── arm64 ARMV8
│ ├── generic General kernel codes written in plain C, parts used by many architectures.
│ ├── ia64 Original GotoBLAS kernels for Intel Itanium
│ ├── mips
│ ├── mips64
│ ├── power
| ├── riscv64
| ├── simd Common code for Universal Intrinsics, used by some x86_64 and arm64 kernels
│ ├── sparc
│ ├── x86
│ ├── x86_64
│ └── zarch
├── lapack Optimized LAPACK codes (replacing those in regular LAPACK)
│ ├── getf2
│ ├── getrf
│ ├── getrs
│ ├── laswp
│ ├── lauu2
│ ├── lauum
│ ├── potf2
│ ├── potrf
│ ├── trti2
│ ├── trtri
│ └── trtrs
├── lapack-netlib LAPACK codes from netlib reference implementation
├── reference BLAS Fortran reference implementation (unused)
├── relapack Elmar Peise's recursive LAPACK (implemented on top of regular LAPACK)
├── test Test codes for BLAS
└── utest Regression test
A call tree for dgemm
is as following.
interface/gemm.c
│
driver/level3/level3.c
│
gemm assembly kernels at kernel/
To find the kernel currently used for a particular supported cpu, please check the corresponding kernel/$(ARCH)/KERNEL.$(CPU)
file.
Here is an example for kernel/x86_64/KERNEL.HASWELL
...
DTRMMKERNEL = dtrmm_kernel_4x8_haswell.c
DGEMMKERNEL = dgemm_kernel_4x8_haswell.S
...
According to the above KERNEL.HASWELL
, OpenBLAS Haswell dgemm kernel file is dgemm_kernel_4x8_haswell.S
.
Read the Goto paper to understand the algorithm.
Goto, Kazushige; van de Geijn, Robert A. (2008). "Anatomy of High-Performance Matrix Multiplication". ACM Transactions on Mathematical Software 34 (3): Article 12 (The above link is available only to ACM members, but this and many related papers is also available on the pages of van de Geijn's FLAME project, http://www.cs.utexas.edu/~flame/web/FLAMEPublications.html )
The driver/level3/level3.c
is the implementation of Goto's algorithm. Meanwhile, you can look at kernel/generic/gemmkernel_2x2.c
, which is a naive 2x2
register blocking gemm kernel in C.
Then,
- Write optimized assembly kernels. consider instruction pipeline, available registers, memory/cache accessing
- Tuning cache block size,
Mc
,Kc
, andNc
Note that not all of the cpu-specific parameters in param.h are actively used in algorithms. DNUMOPT only appears as a scale factor in profiling output of the level3 syrk interface code, while its counterpart SNUMOPT (aliased as NUMOPT in common.h) is not used anywhere at all. SYMV_P is only used in the generic kernels for the symv and chemv/zhemv functions - at least some of those are usually overridden by cpu-specific implementations, so if you start by cloning the existing implementation for a related cpu you need to check its KERNEL file to see if tuning SYMV_P would have any effect at all. GEMV_UNROLL is only used by some older x86_64 kernels, so not all sections in param.h define it. Similarly, not all of the cpu parameters like L2 or L3 cache sizes are necessarily used in current kernels for a given model - by all indications the cpu identification code was imported from some other project originally.
We use netlib blas test, cblas test, and LAPACK test. Meanwhile, we use BLAS-Tester, a modified test tool from ATLAS.
- Run
test
andctest
at OpenBLAS. e.g.make test
ormake ctest
. - Run regression test
utest
at OpenBLAS. - Run LAPACK test. e.g.
make lapack-test
. - Clone BLAS-Tester, which can compare the OpenBLAS result with netlib reference BLAS.
The project makes use of several Continuous Integration (CI) services conveniently interfaced with github to automatically check compilability on a number of platforms. Lastly, the testsuites included with "numerically heavy" projects like Julia, NumPy, Octave or QuantumEspresso can be used for regression testing.
Several simple C benchmarks for performance testing individual BLAS functions are available in the benchmark
folder, and its scripts
subdirectory contains corresponding versions for Python, Octave and R.
Other options include
- https://github.com/RoyiAvital/MatlabJuliaMatrixOperationsBenchmark (various matrix operations in Julia and Matlab)
- https://github.com/mmperf/mmperf/ (single-core matrix multiplication)
Especially relevant for x86_64, a new cpu model may be a "refresh" (die shrink and/or different number of cores) within an existing model family without significant changes to its instruction set. (e.g. Intel Skylake, Kaby Lake etc. still are fundamentally Haswell, low end Goldmont etc. are Nehalem). In this case, compilation with the appropriate older TARGET will already lead to a satisfactory build.
To achieve autodetection of the new model, its CPUID (or an equivalent identifier) needs to be added in the cpuid_<architecture>.c
relevant for its general architecture, with the returned name for the new type set appropriately. For x86 which has the most complex
cpuid file, there are two functions that need to be edited - get_cpuname() to return e.g. CPUTYPE_HASWELL and get_corename() for the (broader)
core family returning e.g. CORE_HASWELL. (This information ends up in the Makefile.conf and config.h files generated by getarch
. Failure to
set either will typically lead to a missing definition of the GEMM_UNROLL parameters later in the build, as getarch_2nd
will be unable to
find a matching parameter section in param.h.)
For architectures where "DYNAMIC_ARCH" builds are supported, a similar but simpler code section for the corresponding runtime detection of the cpu exists in driver/others/dynamic.c
(for x86) and driver/others/dynamic_<arch>.c
for other architectures.
Note that for x86 the CPUID is compared after splitting it into its family, extended family, model and extended model parts, so the single decimal
number returned by Linux in /proc/cpuinfo for the model has to be converted back to hexadecimal before splitting into its constituent
digits, e.g. 142 = 8E , translates to extended model 8, model 14.
Usually it will be possible to start from an existing model, clone its KERNEL configuration file to the new name to use for this TARGET and eventually replace individual kernels with versions better suited for peculiarities of the new cpu model. In addition, it is necessary to add
(or clone at first) the corresponding section of GEMM_UNROLL parameters in the toplevel param.h, and possibly to add definitions such as USE_TRMM
(governing whether TRMM functions use the respective GEMM kernel or a separate source file) to the Makefiles (and CMakeLists.txt) in the kernel
directory. The new cpu name needs to be added to TargetLists.txt and the cpu autodetection code used by the getarch
helper program - contained in
the cpuid_<architecture>.c
file amended to include the CPUID (or equivalent) information processing required (see preceding section).
This endeavour is best started by cloning the entire support structure for 32bit ARM, and within that the ARMV5 cpu in particular as this is implemented through plain C kernels only. An example providing a convenient "shopping list" can be seen in pull request #1526.