Antonio Sanchez
42acbd5700
Fix numext::arg return type.
...
The cxx11 path for `numext::arg` incorrectly returned the complex type
instead of the real type, leading to compile errors. Fixed this and
added tests.
Related to !477 , which uncovered the issue.
(cherry picked from commit 90e9a33e1ce3e4e7663dd67e6c1f225afaf5c206)
2021-05-07 17:52:07 +00:00
Antonio Sanchez
bde6741641
Improved std::complex sqrt and rsqrt.
...
Replaces `std::sqrt` with `complex_sqrt` for all platforms (previously
`complex_sqrt` was only used for CUDA and MSVC), and implements
custom `complex_rsqrt`.
Also introduces `numext::rsqrt` to simplify implementation, and modified
`numext::hypot` to adhere to IEEE IEC 6059 for special cases.
The `complex_sqrt` and `complex_rsqrt` implementations were found to be
significantly faster than `std::sqrt<std::complex<T>>` and
`1/numext::sqrt<std::complex<T>>`.
Benchmark file attached.
```
GCC 10, Intel Xeon, x86_64:
---------------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------------
BM_Sqrt<std::complex<float>> 9.21 ns 9.21 ns 73225448
BM_StdSqrt<std::complex<float>> 17.1 ns 17.1 ns 40966545
BM_Sqrt<std::complex<double>> 8.53 ns 8.53 ns 81111062
BM_StdSqrt<std::complex<double>> 21.5 ns 21.5 ns 32757248
BM_Rsqrt<std::complex<float>> 10.3 ns 10.3 ns 68047474
BM_DivSqrt<std::complex<float>> 16.3 ns 16.3 ns 42770127
BM_Rsqrt<std::complex<double>> 11.3 ns 11.3 ns 61322028
BM_DivSqrt<std::complex<double>> 16.5 ns 16.5 ns 42200711
Clang 11, Intel Xeon, x86_64:
---------------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------------
BM_Sqrt<std::complex<float>> 7.46 ns 7.45 ns 90742042
BM_StdSqrt<std::complex<float>> 16.6 ns 16.6 ns 42369878
BM_Sqrt<std::complex<double>> 8.49 ns 8.49 ns 81629030
BM_StdSqrt<std::complex<double>> 21.8 ns 21.7 ns 31809588
BM_Rsqrt<std::complex<float>> 8.39 ns 8.39 ns 82933666
BM_DivSqrt<std::complex<float>> 14.4 ns 14.4 ns 48638676
BM_Rsqrt<std::complex<double>> 9.83 ns 9.82 ns 70068956
BM_DivSqrt<std::complex<double>> 15.7 ns 15.7 ns 44487798
Clang 9, Pixel 2, aarch64:
---------------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------------
BM_Sqrt<std::complex<float>> 24.2 ns 24.1 ns 28616031
BM_StdSqrt<std::complex<float>> 104 ns 103 ns 6826926
BM_Sqrt<std::complex<double>> 31.8 ns 31.8 ns 22157591
BM_StdSqrt<std::complex<double>> 128 ns 128 ns 5437375
BM_Rsqrt<std::complex<float>> 31.9 ns 31.8 ns 22384383
BM_DivSqrt<std::complex<float>> 99.2 ns 98.9 ns 7250438
BM_Rsqrt<std::complex<double>> 46.0 ns 45.8 ns 15338689
BM_DivSqrt<std::complex<double>> 119 ns 119 ns 5898944
```
2021-01-17 08:50:57 -08:00
Teng Lu
386d809bde
Support BFloat16 in Eigen
2020-06-20 19:16:24 +00:00
Gael Guennebaud
32d7232aec
fix always true warning with gcc 4.7
2019-01-15 11:18:48 +01:00
Gael Guennebaud
82f0ce2726
Get rid of EIGEN_TEST_FUNC, unit tests must now be declared with EIGEN_DECLARE_TEST(mytest) { /* code */ }.
...
This provide several advantages:
- more flexibility in designing unit tests
- unit tests can be glued to speed up compilation
- unit tests are compiled with same predefined macros, which is a requirement for zapcc
2018-07-17 14:46:15 +02:00
Gael Guennebaud
498aa95a8b
bug #1424 : add numext::abs specialization for unsigned integer types.
2017-06-09 11:53:49 +02:00
