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Ilya Tokar 231ce21535 Run two independent chains, when reducing tensors. 
Running two chains exposes more instruction level parallelism,
by allowing to execute both chains at the same time.

Results are a bit noisy, but for medium length we almost hit
theoretical upper bound of 2x.

BM_fullReduction_16T/3        [using 16 threads]       17.3ns ±11%        17.4ns ± 9%        ~           (p=0.178 n=18+19)
BM_fullReduction_16T/4        [using 16 threads]       17.6ns ±17%        17.0ns ±18%        ~           (p=0.835 n=20+19)
BM_fullReduction_16T/7        [using 16 threads]       18.9ns ±12%        18.2ns ±10%        ~           (p=0.756 n=20+18)
BM_fullReduction_16T/8        [using 16 threads]       19.8ns ±13%        19.4ns ±21%        ~           (p=0.512 n=20+20)
BM_fullReduction_16T/10       [using 16 threads]       23.5ns ±15%        20.8ns ±24%     -11.37%        (p=0.000 n=20+19)
BM_fullReduction_16T/15       [using 16 threads]       35.8ns ±21%        26.9ns ±17%     -24.76%        (p=0.000 n=20+19)
BM_fullReduction_16T/16       [using 16 threads]       38.7ns ±22%        27.7ns ±18%     -28.40%        (p=0.000 n=20+19)
BM_fullReduction_16T/31       [using 16 threads]        146ns ±17%          74ns ±11%     -49.05%        (p=0.000 n=20+18)
BM_fullReduction_16T/32       [using 16 threads]        154ns ±19%          84ns ±30%     -45.79%        (p=0.000 n=20+19)
BM_fullReduction_16T/64       [using 16 threads]        603ns ± 8%         308ns ±12%     -48.94%        (p=0.000 n=17+17)
BM_fullReduction_16T/128      [using 16 threads]       2.44µs ±13%        1.22µs ± 1%     -50.29%        (p=0.000 n=17+17)
BM_fullReduction_16T/256      [using 16 threads]       9.84µs ±14%        5.13µs ±30%     -47.82%        (p=0.000 n=19+19)
BM_fullReduction_16T/512      [using 16 threads]       78.0µs ± 9%        56.1µs ±17%     -28.02%        (p=0.000 n=18+20)
BM_fullReduction_16T/1k       [using 16 threads]        325µs ± 5%         263µs ± 4%     -19.00%        (p=0.000 n=20+16)
BM_fullReduction_16T/2k       [using 16 threads]       1.09ms ± 3%        0.99ms ± 1%      -9.04%        (p=0.000 n=20+20)
BM_fullReduction_16T/4k       [using 16 threads]       7.66ms ± 3%        7.57ms ± 3%      -1.24%        (p=0.017 n=20+20)
BM_fullReduction_16T/10k      [using 16 threads]       65.3ms ± 4%        65.0ms ± 3%        ~           (p=0.718 n=20+20)
2020-06-16 15:55:11 -04:00
bench Fix #1911: add benchmark for move semantics with fixed-size matrix 2020-06-11 23:43:25 +00:00
blas STYLE: Remove CMake-language block-end command arguments 2019-10-31 11:36:27 -05:00
cmake Update FindComputeCpp.cmake to fix build problems on Windows 2020-06-05 20:51:20 +00:00
debug MIsc. source and comment typos 2018-03-11 10:01:44 -04:00
demos Make file formatting comply with POSIX and Unix standards 2020-03-23 18:09:02 +00:00
doc Possibility to specify user-defined default cache sizes for GEBP kernel 2020-05-08 12:54:36 +02:00
Eigen Fix pscatter and pgather for Altivec Complex double 2020-06-16 16:41:02 -03:00
failtest Make file formatting comply with POSIX and Unix standards 2020-03-23 18:09:02 +00:00
lapack STYLE: Convert CMake-language commands to lower case 2019-10-31 11:36:37 -05:00
scripts Replace calls to "hg" by calls to "git" 2019-12-04 11:24:06 +01:00
test Fix #1911: add benchmark for move semantics with fixed-size matrix 2020-06-11 23:43:25 +00:00
unsupported Run two independent chains, when reducing tensors. 2020-06-16 15:55:11 -04:00
.gitignore Renamed .hgignore to .gitignore (removing hg-specific "syntax" line) 2019-12-13 19:40:57 +01:00
.hgeol Added a pattern which forces LF line endings for *.sh files. 2013-07-31 18:20:58 +02:00
CMakeLists.txt Bug #1767: increase required cmake version to 3.5.0 2020-05-31 00:31:09 +02:00
COPYING.BSD Make file formatting comply with POSIX and Unix standards 2020-03-23 18:09:02 +00:00
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 Make file formatting comply with POSIX and Unix standards 2020-03-23 18:09:02 +00:00
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 STYLE: Convert CMake-language commands to lower case 2019-10-31 11:36:37 -05:00
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 Update old links to bitbucket to point to gitlab.com 2019-12-04 10:57:07 +01:00
signature_of_eigen3_matrix_library improve the scripts for building unit tests: 2009-11-25 21:26:37 -05:00

README.md

Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms.

For more information go to http://eigen.tuxfamily.org/.

For pull request, bug reports, and feature requests, go to https://gitlab.com/libeigen/eigen.