Commit Graph

11258 Commits

Author SHA1 Message Date
David Tellenbach
54589635ad Replace nullptr by NULL in SparseLU.h to be C++03 compliant. 2021-02-09 09:08:06 +01:00
Ralf Hannemann-Tamas
984d010b7b add specialization of check_sparse_solving() for SuperLU solver, in order to test adjoint and transpose solves 2021-02-08 22:00:31 +00:00
Nikolaus Demmel
b578930657 Fix documentation typos in LDLT.h 2021-02-08 21:07:29 +00:00
Antonio Sanchez
66841ea070 Enable bdcsvd on host.
Currently if compiled by NVCC, the `MatrixBase::bdcSvd()` implementation
is skipped, leading to a linker error.  This prevents it from running on
the host as well.

Seems it was disabled 6 years ago (5384e891) to match `jacobiSvd`, but
`jacobiSvd` is now enabled on host.  Tested and runs fine on host, but
will not compile/run for device (though it's not labelled as a device
function, so this should be fine).

Fixes #2139
2021-02-08 12:56:23 -08:00
Rasmus Munk Larsen
6e3b795f81 Add more tests for pow and fix a corner case for huge exponent where the result is always zero or infinite unless x is one. 2021-02-05 16:58:49 -08:00
Antonio Sanchez
abcde69a79 Disable vectorized pow for half/bfloat16.
We are potentially seeing some accuracy issues with these.  Ideally we
would hand off to `float`, but that's not trivial with the current
setup.

We may want to consider adding `ppow<Packet>` and `HasPow`, so
implementations can more easily specialize this.
2021-02-05 12:17:34 -08:00
Antonio Sanchez
f85038b7f3 Fix excessive GEBP register spilling for 32-bit NEON.
Clang does a poor job of optimizing the GEBP microkernel on 32-bit ARM,
leading to excessive 16-byte register spills, slowing down basic f32
matrix multiplication by approx 50%.

By specializing `gebp_traits`, we can eliminate the register spills.
Volatile inline ASM both acts as a barrier to prevent reordering and
enforces strict register use. In a simple f32 matrix multiply example,
this modification reduces 16-byte spills from 109 instances to zero,
leading to a 1.5x speed increase (search for `16-byte Spill` in the
assembly in https://godbolt.org/z/chsPbE).

This is a replacement of !379.  See there for further discussion.

Also moved `gebp_traits` specializations for NEON to
`Eigen/src/Core/arch/NEON/GeneralBlockPanelKernel.h` to be alongside
other NEON-specific code.

Fixes #2138.
2021-02-03 09:01:48 -08:00
Antonio Sanchez
56c8b14d87 Eliminate implicit conversions from float to double. 2021-02-01 15:31:01 -08:00
Antonio Sanchez
fb4548e27b Implement bit_* for device.
Unfortunately `std::bit_and` and the like are host-only functions prior
to c++14 (since they are not `constexpr`).  They also never exist in the
global namespace, so the current implementation  always fails to compile via
NVCC - since `EIGEN_USING_STD` tries to import the symbol from the global
namespace on device.

To overcome these limitations, we implement these functionals here.
2021-02-01 13:27:45 -08:00
Antonio Sanchez
1615a27993 Fix altivec packetmath.
Allows the altivec packetmath tests to pass.  There were a few issues:
- `pstoreu` was missing MSQ on `_BIG_ENDIAN` systems
- `cmp_*` didn't properly handle conversion of bool flags (0x7FC instead
of 0xFFFF)
- `pfrexp` needed to set the `exponent` argument.

Related to !370, #2128

cc: @ChipKerchner @pdrocaldeira

Tested on `_BIG_ENDIAN` running on QEMU with VSX.  Couldn't figure out build
flags to get it to work for little endian.
2021-01-28 18:37:09 +00:00
Chip Kerchner
1414e2212c Fix clang compilation for AltiVec from previous check-in 2021-01-28 18:36:40 +00:00
David Tellenbach
170a504c2f Add the following functions
DenseBase::setConstant(NoChange_t, Index, const Scalar&)
  DenseBase::setConstant(Index, NoChange_t, const Scalar&)

to close #663.
2021-01-28 15:13:07 +01:00
David Tellenbach
598e1b6e54 Add the following functions:
DenseBase::setZero(NoChange_t, Index)
  DenseBase::setZero(Index, NoChange_t)
  DenseBase::setOnes(NoChange_t, Index)
  DenseBase::setOnes(Index, NoChange_t)
  DenseBase::setRandom(NoChange_t, Index)
  DenseBase::setRandom(Index, NoChange_t)

This closes #663.
2021-01-28 01:10:36 +01:00
Gael Guennebaud
0668c68b03 Allow for negative strides.
Note that using a stride of -1 is still not possible because it would
clash with the definition of Eigen::Dynamic.

This fixes #747.
2021-01-27 23:32:12 +01:00
Samir Benmendil
288d456c29 Replace language_support module with builtin CheckLanguage
The workaround_9220 function was introduced a long time ago to
workaround a CMake issue with enable_language(OPTIONAL). Since then
CMake has clarified that the OPTIONAL keywords has not been
implemented[0].

A CheckLanguage module is now provided with CMake to check if a language
can be enabled. Use that instead.

[0] https://cmake.org/cmake/help/v3.18/command/enable_language.html
2021-01-27 13:26:40 +00:00
Antonio Sanchez
3f4684f87d Include <cstdint> in one place, remove custom typedefs
Originating from
[this SO issue](https://stackoverflow.com/questions/65901014/how-to-solve-this-all-error-2-in-this-case),
some win32 compilers define `__int32` as a `long`, but MinGW defines
`std::int32_t` as an `int`, leading to a type conflict.

To avoid this, we remove the custom `typedef` definitions for win32.  The
Tensor module requires C++11 anyways, so we are guaranteed to have
included `<cstdint>` already in `Eigen/Core`.

Also re-arranged the headers to only include `<cstdint>` in one place to
avoid this type of error again.
2021-01-26 14:23:05 -08:00
Chip Kerchner
0784d9f87b Fix sqrt, ldexp and frexp compilation errors. 2021-01-25 15:22:19 -06:00
Gmc2
a4edb1079c fix test of ExtractVolumePatchesOp 2021-01-25 03:23:46 +00:00
Antonio Sanchez
4c42d5ee41 Eliminate implicit conversion warning in test/array_cwise.cpp 2021-01-23 11:54:00 -08:00
Antonio Sanchez
e0d13ead90 Replace std::isnan with numext::isnan for c++03 2021-01-23 11:02:35 -08:00
Florian Maurin
c35965b381 Remove unused variable in SparseLU.h 2021-01-22 22:24:11 +00:00
Antonio Sanchez
f0e46ed5d4 Fix pow and other cwise ops for half/bfloat16.
The new `generic_pow` implementation was failing for half/bfloat16 since
their construction from int/float is not `constexpr`. Modified
in `GenericPacketMathFunctions` to remove `constexpr`.

While adding tests for half/bfloat16, found other issues related to
implicit conversions.

Also needed to implement `numext::arg` for non-integer, non-complex,
non-float/double/long double types.  These seem to be  implicitly
converted to `std::complex<T>`, which then fails for half/bfloat16.
2021-01-22 11:10:54 -08:00
Antonio Sanchez
f19bcffee6 Specialize std::complex operators for use on GPU device.
NVCC and older versions of clang do not fully support `std::complex` on device,
leading to either compile errors (Cannot call `__host__` function) or worse,
runtime errors (Illegal instruction).  For most functions, we can
implement specialized `numext` versions. Here we specialize the standard
operators (with the exception of stream operators and member function operators
with a scalar that are already specialized in `<complex>`) so they can be used
in device code as well.

To import these operators into the current scope, use
`EIGEN_USING_STD_COMPLEX_OPERATORS`. By default, these are imported into
the `Eigen`, `Eigen:internal`, and `Eigen::numext` namespaces.

This allow us to remove specializations of the
sum/difference/product/quotient ops, and allow us to treat complex
numbers like most other scalars (e.g. in tests).
2021-01-22 18:19:19 +00:00
David Tellenbach
65e2169c45 Add support for Arm SVE
This patch adds support for Arm's new vector extension SVE (Scalable Vector Extension). In contrast to other vector extensions that are supported by Eigen, SVE types are inherently *sizeless*. For the use in Eigen we fix their size at compile-time (note that this is not necessary in general, SVE is *length agnostic*).

During compilation the flag `-msve-vector-bits=N` has to be set where `N` is a power of two in the range of `128`to `2048`, indicating the length of an SVE vector.

Since SVE is rather young, we decided to disable it by default even if it would be available. A user has to enable it explicitly by defining `EIGEN_ARM64_USE_SVE`.

This patch introduces the packet types `PacketXf` and `PacketXi` for packets of `float` and `int32_t` respectively. The size of these packets depends on the SVE vector length. E.g. if `-msve-vector-bits=512` is set, `PacketXf` will contain `512/32 = 16` elements.

This MR is joint work with Miguel Tairum <miguel.tairum@arm.com>.
2021-01-21 21:11:57 +00:00
Antonio Sanchez
b2126fd6b5 Fix pfrexp/pldexp for half.
The recent addition of vectorized pow (!330) relies on `pfrexp` and
`pldexp`.  This was missing for `Eigen::half` and `Eigen::bfloat16`.
Adding tests for these packet ops also exposed an issue with handling
negative values in `pfrexp`, returning an incorrect exponent.

Added the missing implementations, corrected the exponent in `pfrexp1`,
and added `packetmath` tests.
2021-01-21 19:32:28 +00:00
Antonio Sanchez
25d8498f8b Fix stable_norm_1 test.
Test enters an infinite loop if size is 1x1 when choosing to select
unique indices for adding `inf` and `NaN` to the input. Here we
revert to non-unique indices, and split the `hypotNorm` check into
two cases: one where both `inf` and `NaN` are added, and one where
only `NaN` is added.
2021-01-21 09:44:42 -08:00
David Tellenbach
660c6b857c Remove std::cerr in iterative solver since we don't have iostream.
This fixes #2123
2021-01-21 11:40:05 +01:00
Antonio Sanchez
d5b7981119 Fix signed-unsigned comparison.
Hex literals are interpreted as unsigned, leading to a comparison between
signed max supported function `abcd[0]`  (which was negative) to the unsigned
literal `0x80000006`.  Should not change result since signed is
implicitly converted to unsigned for the comparison, but eliminates the
warning.
2021-01-20 08:34:00 -08:00
Ivan Popivanov
e409795d6b Proper CPUID 2021-01-18 17:10:11 +00:00
Rasmus Munk Larsen
cdd8fdc32e Vectorize pow(x, y). This closes https://gitlab.com/libeigen/eigen/-/issues/2085, which also contains a description of the algorithm.
I ran some testing (comparing to `std::pow(double(x), double(y)))` for `x` in the set of all (positive) floats in the interval `[std::sqrt(std::numeric_limits<float>::min()), std::sqrt(std::numeric_limits<float>::max())]`, and `y` in `{2, sqrt(2), -sqrt(2)}` I get the following error statistics:

```
max_rel_error = 8.34405e-07
rms_rel_error = 2.76654e-07
```

If I widen the range to all normal float I see lower accuracy for arguments where the result is subnormal, e.g. for `y = sqrt(2)`:

```
max_rel_error = 0.666667
rms = 6.8727e-05
count = 1335165689
argmax = 2.56049e-32, 2.10195e-45 != 1.4013e-45
```

which seems reasonable, since these results are subnormals with only couple of significant bits left.
2021-01-18 13:25:16 +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
Maozhou, Ge
21a8a2487c fix paddings of TensorVolumePatchOp 2021-01-15 11:51:49 +08:00
Guoqiang QI
38ae5353ab 1)provide a better generic paddsub op implementation
2)make paddsub op support the Packet2cf/Packet4f/Packet2f in NEON
3)make paddsub op support the Packet2cf/Packet4f in SSE
2021-01-13 22:54:03 +00:00
Antonio Sanchez
352f1422d3 Remove inf local variable.
Apparently `inf` is a macro on iOS for `std::numeric_limits<T>::infinity()`,
causing a compile error here. We don't need the local anyways since it's
only used in one spot.
2021-01-12 10:33:15 -08:00
Antonio Sanchez
2044084979 Remove TODO from Transform::computeScaleRotation()
Upon investigation, `JacobiSVD` is significantly faster than `BDCSVD`
for small matrices (twice as fast for 2x2, 20% faster for 3x3,
1% faster for 10x10).  Since the majority of cases will be small,
let's stick with `JacobiSVD`.  See !361.
2021-01-11 11:30:01 -08:00
Antonio Sanchez
3daf92c7a5 Transform::computeScalingRotation flush determinant to +/- 1.
In the previous code, in attempting to correct for a negative
determinant, we end up multiplying and dividing by a number that
is often very near, but not exactly +/-1.  By flushing to +/-1,
we can replace a division with a multiplication, and results
are more numerically consistent.
2021-01-11 10:13:38 -08:00
Antonio Sanchez
587fd6ab70 Only specialize complex sqrt_impl for CUDA if not MSVC.
We already specialize `sqrt_impl` on windows due to MSVC's mishandling
of `inf` (!355).
2021-01-11 09:15:45 -08:00
Deven Desai
2a6addb4f9 Fix for breakage in ROCm support - 210108
The following commit breaks ROCm support for Eigen
f149e0ebc3

All unit tests fail with the following error

```
Building HIPCC object test/CMakeFiles/gpu_basic.dir/gpu_basic_generated_gpu_basic.cu.o
In file included from /home/rocm-user/eigen/test/gpu_basic.cu:19:
In file included from /home/rocm-user/eigen/test/main.h:356:
In file included from /home/rocm-user/eigen/Eigen/QR:11:
In file included from /home/rocm-user/eigen/Eigen/Core:166:
/home/rocm-user/eigen/Eigen/src/Core/MathFunctionsImpl.h:105:35: error: __host__ __device__ function 'complex_sqrt' cannot overload __host__ function 'complex_sqrt'
EIGEN_DEVICE_FUNC std::complex<T> complex_sqrt(const std::complex<T>& z) {
                                  ^
/home/rocm-user/eigen/Eigen/src/Core/MathFunctions.h:342:38: note: previous declaration is here
template<typename T> std::complex<T> complex_sqrt(const std::complex<T>& a_x);
                                     ^
1 error generated when compiling for gfx900.
CMake Error at gpu_basic_generated_gpu_basic.cu.o.cmake:192 (message):
  Error generating file
  /home/rocm-user/eigen/build/test/CMakeFiles/gpu_basic.dir//./gpu_basic_generated_gpu_basic.cu.o

test/CMakeFiles/gpu_basic.dir/build.make:63: recipe for target 'test/CMakeFiles/gpu_basic.dir/gpu_basic_generated_gpu_basic.cu.o' failed
make[3]: *** [test/CMakeFiles/gpu_basic.dir/gpu_basic_generated_gpu_basic.cu.o] Error 1
CMakeFiles/Makefile2:16618: recipe for target 'test/CMakeFiles/gpu_basic.dir/all' failed
make[2]: *** [test/CMakeFiles/gpu_basic.dir/all] Error 2
CMakeFiles/Makefile2:16625: recipe for target 'test/CMakeFiles/gpu_basic.dir/rule' failed
make[1]: *** [test/CMakeFiles/gpu_basic.dir/rule] Error 2
Makefile:5401: recipe for target 'gpu_basic' failed
make: *** [gpu_basic] Error 2

```

The error message is accurate, and the fix (provided in thsi commit) is trivial.
2021-01-08 18:04:40 +00:00
Antonio Sanchez
f149e0ebc3 Fix MSVC complex sqrt and packetmath test.
MSVC incorrectly handles `inf` cases for `std::sqrt<std::complex<T>>`.
Here we replace it with a custom version (currently used on GPU).

Also fixed the `packetmath` test, which previously skipped several
corner cases since `CHECK_CWISE1` only tests the first `PacketSize`
elements.
2021-01-08 01:17:19 +00:00
Antonio Sanchez
8d9cfba799 Fix rand test for MSVC.
MSVC's uniform random number generator is not quite as uniform as
others, requiring a slightly wider threshold on the histogram test.
After inspecting histograms for several runs, there's no obvious
bias -- just some bins end up having slightly more less elements
(often > 2% but less than 2.5%).
2021-01-07 12:48:40 -08:00
Essex Edwards
e741b43668 Make Transform::computeRotationScaling(0,&S) continuous 2021-01-07 17:45:14 +00:00
David Tellenbach
0bdc0dba20 Add missing #endif directive in Macros.h 2021-01-07 12:32:41 +01:00
shrek1402
cb654b1c45 #define was defined incorrectly because the result_of function was deprecated in c++17 and removed in c++20. Also, EIGEN_COMP_MSVC (which is _MSC_VER) only affects result_of indirectly, which can cause errors. 2021-01-07 10:12:25 +00:00
Antonio Sanchez
52d1dd979a Fix Ref initialization.
Since `eigen_assert` is a macro, the statements can become noops (e.g.
when compiling for GPU), so they may not execute the contained logic -- which
in this case is the entire `Ref` construction.  We need to separate the assert
from statements which have consequences.

Fixes #2113
2021-01-06 13:14:20 -08:00
Antonio Sanchez
166fcdecdb Allow CwiseUnaryView to be used on device.
Added `EIGEN_DEVICE_FUNC` to methods.
2021-01-06 09:16:52 -08:00
Antonio Sanchez
bb1de9dbde Fix Ref Stride checks.
The existing `Ref` class failed to consider cases where the Ref's
`Stride` setting *could* match the underlying referred object's stride,
but **didn't** at runtime.  This led to trying to set invalid stride values,
causing runtime failures in some cases, and garbage due to mismatched
strides in others.

Here we add the missing runtime checks.  This involves computing the
strides necessary to align with the referred object's storage, and
verifying we can actually set those strides at runtime.

In the `const` case, if it *may* be possible to refer to the original
storage at compile-time but fails at runtime, then we defer to the
`construct(...)` method that makes a copy.

Added more tests to check these cases.

Fixes #2093.
2021-01-05 10:41:25 -08:00
Christoph Hertzberg
12dda34b15 Eliminate boolean product warnings by factoring out a
`combine_scalar_factors` helper function.
2021-01-05 18:15:30 +00:00
Antonio Sanchez
070d303d56 Add CUDA complex sqrt.
This is to support scalar `sqrt` of complex numbers `std::complex<T>` on
device, requested by Tensorflow folks.

Technically `std::complex` is not supported by NVCC on device
(though it is by clang), so the default `sqrt(std::complex<T>)` function only
works on the host. Here we create an overload to add back the
functionality.

Also modified the CMake file to add `--relaxed-constexpr` (or
equivalent) flag for NVCC to allow calling constexpr functions from
device functions, and added support for specifying compute architecture for
NVCC (was already available for clang).
2020-12-22 23:25:23 -08:00
rgreenblatt
fdf2ee62c5 Fix missing EIGEN_DEVICE_FUNC 2020-12-20 23:22:53 -05:00
Rasmus Munk Larsen
05754100fe * Add iterative psqrt<double> for AVX and SSE when FMA is available. This provides a ~10% speedup.
* Write iterative sqrt explicitly in terms of pmadd. This gives up to 7% speedup for psqrt<float> with AVX & SSE with FMA.
* Remove iterative psqrt<double> for NEON, because the initial rsqrt apprimation is not accurate enough for convergence in 2 Newton-Raphson steps and with 3 steps, just calling the builtin sqrt insn is faster.

The following benchmarks were compiled with clang "-O2 -fast-math -mfma" and with and without -mavx.

AVX+FMA (float)

name                      old cpu/op  new cpu/op  delta
BM_eigen_sqrt_float/1     1.08ns ± 0%  1.09ns ± 1%    ~
BM_eigen_sqrt_float/8     2.07ns ± 0%  2.08ns ± 1%    ~
BM_eigen_sqrt_float/64    12.4ns ± 0%  12.4ns ± 1%    ~
BM_eigen_sqrt_float/512   95.7ns ± 0%  95.5ns ± 0%    ~
BM_eigen_sqrt_float/4k     776ns ± 0%   763ns ± 0%  -1.67%
BM_eigen_sqrt_float/32k   6.57µs ± 1%  6.13µs ± 0%  -6.69%
BM_eigen_sqrt_float/256k  83.7µs ± 3%  83.3µs ± 2%    ~
BM_eigen_sqrt_float/1M     335µs ± 2%   332µs ± 2%    ~

SSE+FMA (float)
name                      old cpu/op  new cpu/op  delta
BM_eigen_sqrt_float/1     1.08ns ± 0%  1.09ns ± 0%    ~
BM_eigen_sqrt_float/8     2.07ns ± 0%  2.06ns ± 0%    ~
BM_eigen_sqrt_float/64    12.4ns ± 0%  12.4ns ± 1%    ~
BM_eigen_sqrt_float/512   95.7ns ± 0%  96.3ns ± 4%    ~
BM_eigen_sqrt_float/4k     774ns ± 0%   763ns ± 0%  -1.50%
BM_eigen_sqrt_float/32k   6.58µs ± 2%  6.11µs ± 0%  -7.06%
BM_eigen_sqrt_float/256k  82.7µs ± 1%  82.6µs ± 1%    ~
BM_eigen_sqrt_float/1M     330µs ± 1%   329µs ± 2%    ~

SSE+FMA (double)
BM_eigen_sqrt_double/1      1.63ns ± 0%  1.63ns ± 0%     ~
BM_eigen_sqrt_double/8      6.51ns ± 0%  6.08ns ± 0%   -6.68%
BM_eigen_sqrt_double/64     52.1ns ± 0%  46.5ns ± 1%  -10.65%
BM_eigen_sqrt_double/512     417ns ± 0%   374ns ± 1%  -10.29%
BM_eigen_sqrt_double/4k     3.33µs ± 0%  2.97µs ± 1%  -11.00%
BM_eigen_sqrt_double/32k    26.7µs ± 0%  23.7µs ± 0%  -11.07%
BM_eigen_sqrt_double/256k    213µs ± 0%   206µs ± 1%   -3.31%
BM_eigen_sqrt_double/1M      862µs ± 0%   870µs ± 2%   +0.96%

AVX+FMA (double)
name                        old cpu/op  new cpu/op  delta
BM_eigen_sqrt_double/1      1.63ns ± 0%  1.63ns ± 0%     ~
BM_eigen_sqrt_double/8      6.51ns ± 0%  6.06ns ± 0%   -6.95%
BM_eigen_sqrt_double/64     52.1ns ± 0%  46.5ns ± 1%  -10.80%
BM_eigen_sqrt_double/512     417ns ± 0%   373ns ± 1%  -10.59%
BM_eigen_sqrt_double/4k     3.33µs ± 0%  2.97µs ± 1%  -10.79%
BM_eigen_sqrt_double/32k    26.7µs ± 0%  23.8µs ± 0%  -10.94%
BM_eigen_sqrt_double/256k    214µs ± 0%   208µs ± 2%   -2.76%
BM_eigen_sqrt_double/1M      866µs ± 3%   923µs ± 7%     ~
2020-12-16 18:16:11 +00:00