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Rasmus Munk Larsen 3815aeed7a Parallelize tensor contraction over the inner dimension in cases where where one or both of the outer dimensions (m and n) are small but k is large. This speeds up individual matmul microbenchmarks by up to 85%.
Naming below is BM_Matmul_M_K_N_THREADS, measured on a 2-socket Intel Broadwell-based server.

Benchmark                          Base (ns)  New (ns) Improvement
------------------------------------------------------------------
BM_Matmul_1_80_13522_1                  387457    396013     -2.2%
BM_Matmul_1_80_13522_2                  406487    230789    +43.2%
BM_Matmul_1_80_13522_4                  395821    123211    +68.9%
BM_Matmul_1_80_13522_6                  391625     97002    +75.2%
BM_Matmul_1_80_13522_8                  408986    113828    +72.2%
BM_Matmul_1_80_13522_16                 399988     67600    +83.1%
BM_Matmul_1_80_13522_22                 411546     60044    +85.4%
BM_Matmul_1_80_13522_32                 393528     57312    +85.4%
BM_Matmul_1_80_13522_44                 390047     63525    +83.7%
BM_Matmul_1_80_13522_88                 387876     63592    +83.6%
BM_Matmul_1_1500_500_1                  245359    248119     -1.1%
BM_Matmul_1_1500_500_2                  401833    143271    +64.3%
BM_Matmul_1_1500_500_4                  210519    100231    +52.4%
BM_Matmul_1_1500_500_6                  251582     86575    +65.6%
BM_Matmul_1_1500_500_8                  211499     80444    +62.0%
BM_Matmul_3_250_512_1                    70297     68551     +2.5%
BM_Matmul_3_250_512_2                    70141     52450    +25.2%
BM_Matmul_3_250_512_4                    67872     58204    +14.2%
BM_Matmul_3_250_512_6                    71378     63340    +11.3%
BM_Matmul_3_250_512_8                    69595     41652    +40.2%
BM_Matmul_3_250_512_16                   72055     42549    +40.9%
BM_Matmul_3_250_512_22                   70158     54023    +23.0%
BM_Matmul_3_250_512_32                   71541     56042    +21.7%
BM_Matmul_3_250_512_44                   71843     57019    +20.6%
BM_Matmul_3_250_512_88                   69951     54045    +22.7%
BM_Matmul_3_1500_512_1                  369328    374284     -1.4%
BM_Matmul_3_1500_512_2                  428656    223603    +47.8%
BM_Matmul_3_1500_512_4                  205599    139508    +32.1%
BM_Matmul_3_1500_512_6                  214278    139071    +35.1%
BM_Matmul_3_1500_512_8                  184149    142338    +22.7%
BM_Matmul_3_1500_512_16                 156462    156983     -0.3%
BM_Matmul_3_1500_512_22                 163905    158259     +3.4%
BM_Matmul_3_1500_512_32                 155314    157662     -1.5%
BM_Matmul_3_1500_512_44                 235434    158657    +32.6%
BM_Matmul_3_1500_512_88                 156779    160275     -2.2%
BM_Matmul_1500_4_512_1                  363358    349528     +3.8%
BM_Matmul_1500_4_512_2                  303134    263319    +13.1%
BM_Matmul_1500_4_512_4                  176208    130086    +26.2%
BM_Matmul_1500_4_512_6                  148026    115449    +22.0%
BM_Matmul_1500_4_512_8                  131656     98421    +25.2%
BM_Matmul_1500_4_512_16                 134011     82861    +38.2%
BM_Matmul_1500_4_512_22                 134950     85685    +36.5%
BM_Matmul_1500_4_512_32                 133165     90081    +32.4%
BM_Matmul_1500_4_512_44                 133203     90644    +32.0%
BM_Matmul_1500_4_512_88                 134106    100566    +25.0%
BM_Matmul_4_1500_512_1                  439243    435058     +1.0%
BM_Matmul_4_1500_512_2                  451830    257032    +43.1%
BM_Matmul_4_1500_512_4                  276434    164513    +40.5%
BM_Matmul_4_1500_512_6                  182542    144827    +20.7%
BM_Matmul_4_1500_512_8                  179411    166256     +7.3%
BM_Matmul_4_1500_512_16                 158101    155560     +1.6%
BM_Matmul_4_1500_512_22                 152435    155448     -1.9%
BM_Matmul_4_1500_512_32                 155150    149538     +3.6%
BM_Matmul_4_1500_512_44                 193842    149777    +22.7%
BM_Matmul_4_1500_512_88                 149544    154468     -3.3%
2018-09-26 16:47:13 -07:00
bench Optimize the product of a householder-sequence with the identity, and optimize the evaluation of a HouseholderSequence to a dense matrix using faster blocked product. 2018-07-11 17:16:50 +02:00
blas Fix numerous shadow-warnings for GCC<=4.8 2018-08-28 18:32:39 +02:00
cmake [PATCH] cmake: Support source include with add_subdirectory and 2018-09-07 15:50:19 -04:00
debug MIsc. source and comment typos 2018-03-11 10:01:44 -04:00
demos Fixed compilation error due to obsolete internal::abs and internal::sqrt function calls 2014-03-26 22:02:48 -04:00
doc Fix documentation of reshape to vectors. 2018-09-25 16:35:44 +02:00
Eigen Fix documentation of reshape to vectors. 2018-09-25 16:35:44 +02:00
failtest Add unit tests for bug #981: valid and invalid usage of ternary operator 2015-09-09 11:38:25 +02:00
lapack fix md5sum of lapack_addons 2018-06-15 14:21:29 +02:00
scripts Simplify handling and non-splitted tests and include split_test_helper.h instead of re-generating it. This also allows us to modify it without breaking existing build folder. 2018-07-16 18:55:40 +02:00
test Merge with default. 2018-09-23 21:52:58 +02:00
unsupported Parallelize tensor contraction over the inner dimension in cases where where one or both of the outer dimensions (m and n) are small but k is large. This speeds up individual matmul microbenchmarks by up to 85%. 2018-09-26 16:47:13 -07:00
.hgeol Added a pattern which forces LF line endings for *.sh files. 2013-07-31 18:20:58 +02:00
.hgignore ignore all *build* sub directories 2017-12-14 14:22:14 +01:00
CMakeLists.txt [PATCH] cmake: Support source include with add_subdirectory and 2018-09-07 15:50:19 -04:00
COPYING.BSD Intel(R) MKL support added. 2011-12-05 14:52:21 +07:00
COPYING.GPL there's no reason why we should follow the FSF's stupid recommendation for the naming of these files, right? This could give the wrong impression that Eigen is only GPL-licensed. 2009-11-14 23:26:07 -05:00
COPYING.LGPL Replace COPYING.LGPL by a copy of the LGPL 2.1 (instead of LGPL 3). 2012-09-10 13:27:44 -04:00
COPYING.MINPACK add COPYING.MINPACK 2012-07-15 11:46:22 -04:00
COPYING.MPL2 add COPYING.MPL2 2012-07-15 10:20:59 -04:00
COPYING.README Replace COPYING.LGPL by a copy of the LGPL 2.1 (instead of LGPL 3). 2012-09-10 13:27:44 -04:00
CTestConfig.cmake Optimize the product of a householder-sequence with the identity, and optimize the evaluation of a HouseholderSequence to a dense matrix using faster blocked product. 2018-07-11 17:16:50 +02:00
CTestCustom.cmake.in Allow to filter out build-error messages 2018-07-24 20:12:49 +02:00
eigen3.pc.in Further fixes for CMAKE_INSTALL_PREFIX correctness 2015-11-07 21:29:24 -05:00
INSTALL finally, the right fix: set CTEST_BUILD_TARGET. 2009-10-04 20:27:44 -04:00
README.md Add links where to make PRs and report bugs into README.md 2018-04-13 21:05:28 +00:00
signature_of_eigen3_matrix_library improve the scripts for building unit tests: 2009-11-25 21:26:37 -05:00

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