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Antonio Sanchez 5b83d3c4bc Make inverse 3x3 faster and avoid gcc bug. 
There seems to be a gcc 4.7 bug that incorrectly flags the current
3x3 inverse as using uninitialized memory.  I'm *pretty* sure it's
a false positive, but it's hard to trigger.  The same warning
does not trigger with clang or later compiler versions.

In trying to find a work-around, this implementation turns out to be
faster anyways for static-sized matrices.

```
name                                            old cpu/op  new cpu/op  delta
BM_Inverse3x3<DynamicMatrix3T<float>>            423ns ± 2%   433ns ± 3%   +2.32%    (p=0.000 n=98+96)
BM_Inverse3x3<DynamicMatrix3T<double>>           425ns ± 2%   427ns ± 3%   +0.48%    (p=0.003 n=99+96)
BM_Inverse3x3<StaticMatrix3T<float>>            7.10ns ± 2%  0.80ns ± 1%  -88.67%  (p=0.000 n=114+112)
BM_Inverse3x3<StaticMatrix3T<double>>           7.45ns ± 2%  1.34ns ± 1%  -82.01%  (p=0.000 n=105+111)
BM_AliasedInverse3x3<DynamicMatrix3T<float>>     409ns ± 3%   419ns ± 3%   +2.40%   (p=0.000 n=100+98)
BM_AliasedInverse3x3<DynamicMatrix3T<double>>    414ns ± 3%   413ns ± 2%     ~       (p=0.322 n=98+98)
BM_AliasedInverse3x3<StaticMatrix3T<float>>     7.57ns ± 1%  0.80ns ± 1%  -89.37%  (p=0.000 n=111+114)
BM_AliasedInverse3x3<StaticMatrix3T<double>>    9.09ns ± 1%  2.58ns ±41%  -71.60%  (p=0.000 n=113+116)
```


(cherry picked from commit 5ad8b9bfe2)
2021-08-04 22:06:52 +00:00
.gitlab Add GitLab templates for issues and merge requests 2021-03-31 16:01:12 +00:00
bench Compilation of basicbenchmark fixed 2021-04-21 12:09:42 +02:00
blas Replace language_support module with builtin CheckLanguage 2021-01-27 13:26:40 +00:00
ci Add CI infrastructure for pre-merge smoke tests. 2021-04-01 00:08:37 +00:00
cmake Fix MPReal detection and support. 2021-08-03 18:13:12 +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 Fixed typo in TutorialSparse.dox 2021-07-26 14:33:10 +00:00
Eigen Make inverse 3x3 faster and avoid gcc bug. 2021-08-04 22:06:52 +00:00
failtest Make file formatting comply with POSIX and Unix standards 2020-03-23 18:09:02 +00:00
lapack Replace language_support module with builtin CheckLanguage 2021-01-27 13:26:40 +00:00
scripts Replace calls to "hg" by calls to "git" 2019-12-04 11:24:06 +01:00
test Modify scalar pzero, ptrue, pselect, and p<binary> operations to avoid memset. 2021-08-03 16:32:59 +00:00
unsupported Fix MPReal detection and support. 2021-08-03 18:13:12 +00:00
.gitignore New CI infrastructure, including AArch64 runners 2020-09-11 18:11:49 +00:00
.gitlab-ci.yml Add CI infrastructure for pre-merge smoke tests. 2021-04-01 00:08:37 +00:00
.hgeol Added a pattern which forces LF line endings for *.sh files. 2013-07-31 18:20:58 +02:00
CMakeLists.txt Fix CMake directory issues. 2021-07-07 17:44:00 +00:00
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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
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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.