Commit Graph

343 Commits

Author SHA1 Message Date
Charles Schlosser
e5af9f87f2 Vectorize pow for integer base / exponent types 2022-08-29 19:23:54 +00:00
Rasmus Munk Larsen
7064ed1345 Specialize psign<Packet8i> for AVX2, don't vectorize psign<bool>. 2022-08-26 17:02:37 +00:00
Rasmus Munk Larsen
6aad0f821b Fix psign for unsigned integer types, such as bool. 2022-08-22 20:19:35 +00:00
Rasmus Munk Larsen
97e0784dc6 Vectorize the sign operator in Eigen. 2022-08-09 19:54:57 +00:00
aaraujom
d49ede4dc4 Add AVX512 s/dgemm optimizations for compute kernel (2nd try) 2022-05-28 02:00:21 +00:00
Eisuke Kawashima
ac5c83a3f5 unset executable flag 2022-05-22 22:47:43 +09:00
Antonio Sánchez
9b9496ad98 Revert "Add AVX512 optimizations for matrix multiply"
This reverts commit 25db0b4a82
2022-05-13 18:50:33 +00:00
aaraujom
25db0b4a82 Add AVX512 optimizations for matrix multiply 2022-05-12 23:41:19 +00:00
Sean McBride
f1b9692d63 Removed EIGEN_UNUSED decorations from many functions that are in fact used 2022-03-03 20:19:33 +00:00
Rasmus Munk Larsen
8b875dbef1 Changes to fast SQRT/RSQRT 2022-02-23 17:32:21 +00:00
Ramil Sattarov
f9b7564faa E2K: initial support of LCC MCST compiler for the Elbrus 2000 CPU architecture 2022-02-23 17:07:34 +00:00
Rasmus Munk Larsen
979fdd58a4 Add generic fast psqrt and prsqrt impls and make them correct for 0, +Inf, NaN, and negative arguments. 2022-02-05 00:20:13 +00:00
Antonio Sánchez
4bffbe84f9 Restrict GCC<6.3 maxpd workaround to only gcc. 2022-02-04 22:47:34 +00:00
Rasmus Munk Larsen
8f2c6f0aa6 Make preciprocal IEEE compliant w.r.t. 1/0 and 1/inf. 2022-01-26 20:38:05 +00:00
Rasmus Munk Larsen
51311ec651 Remove inline assembly for FMA (AVX) and add remaining extensions as packet ops: pmsub, pnmadd, and pnmsub. 2022-01-26 04:25:41 +00:00
Rasmus Munk Larsen
ea2c02060c Add reciprocal packet op and fast specializations for float with SSE, AVX, and AVX512. 2022-01-21 23:49:18 +00:00
Kolja Brix
8d81a2339c Reduce usage of reserved names 2022-01-10 20:53:29 +00:00
Rasmus Munk Larsen
96dc37a03b Some fixes/cleanups for numeric_limits & fix for related bug in psqrt 2022-01-07 01:10:17 +00:00
Erik Schultheis
dee6428a71 fixed clang warnings about alignment change and floating point precision 2021-12-18 17:18:16 +00:00
Erik Schultheis
cc11e240ac Some further cleanup 2021-12-06 18:01:15 +00:00
Erik Schultheis
ec2fd0f7ed Require recent GCC and MSCV and removed EIGEN_HAS_CXX14 and some other feature test macros 2021-12-01 00:48:34 +00:00
Ilya Tokar
e1cb6369b0 Add AVX vector path to float2half/half2float
Makes e. g. matrix multiplication 2x faster:
name         old cpu/op  new cpu/op  delta
BM_convers   181ms ± 1%    62ms ± 9%  -65.82%  (p=0.016 n=4+5)

Tested on all possible input values (not adding tests, since they
take a long time).
2021-10-28 13:59:01 -04:00
sciencewhiz
4b6036e276 fix various typos 2021-09-22 16:15:06 +00:00
Antonio Sanchez
3c724c44cf Fix strict aliasing bug causing product_small failure.
Packet loading is skipped due to aliasing violation, leading to nullopt matrix
multiplication.

Fixes #2327.
2021-09-17 21:09:34 +00:00
Rasmus Munk Larsen
d7d0bf832d Issue an error in case of direct inclusion of internal headers. 2021-09-10 19:12:26 +00:00
Jakub Lichman
dc5b1f7d75 AVX512 and AVX2 support for Packet16i and Packet8i added 2021-08-25 19:38:23 +00:00
Rasmus Munk Larsen
9312a5bf5c Implement a generic vectorized version of Smith's algorithms for complex division. 2021-07-01 23:31:12 +00:00
Rasmus Munk Larsen
52a5f98212 Get rid of code duplication for conj_helper. For packets where LhsType=RhsType a single generic implementation suffices. For scalars, the generic implementation of pconj automatically forwards to numext::conj, so much of the existing specialization can be avoided. For mixed types we still need specializations. 2021-06-24 15:47:48 -07:00
guoqiangqi
3d9051ea84 Changing the storage of the SSE complex packets to that of the wrapper. This should fix #2242 . 2021-05-10 23:53:16 +00:00
Christoph Hertzberg
722ca0b665 Revert addition of unused paddsub<Packet2cf>. This fixes #2242 2021-05-06 18:36:47 +02:00
Christoph Hertzberg
9357feedc7 Avoid using uninitialized inputs and if available, use slightly more efficient movsd instruction for pset1<Packet2cf>. 2021-04-13 01:36:59 +02:00
David Tellenbach
eb71e5db98 Fix another warning on missing commas 2021-03-17 03:07:04 +01:00
David Tellenbach
9fb7062440 Silence warning on comma at end of enumerator list 2021-03-17 01:46:52 +01:00
Antonio Sanchez
82d61af3a4 Fix rint SSE/NEON again, using optimization barrier.
This is a new version of !423, which failed for MSVC.

Defined `EIGEN_OPTIMIZATION_BARRIER(X)` that uses inline assembly to
prevent operations involving `X` from crossing that barrier. Should
work on most `GNUC` compatible compilers (MSVC doesn't seem to need
this). This is a modified version adapted from what was used in
`psincos_float` and tested on more platforms
(see #1674, https://godbolt.org/z/73ezTG).

Modified `rint` to use the barrier to prevent the add/subtract rounding
trick from being optimized away.

Also fixed an edge case for large inputs that get bumped up a power of two
and ends up rounding away more than just the fractional part.  If we are
over `2^digits` then just return the input.  This edge case was missed in
the test since the test was comparing approximate equality, which was still
satisfied.  Adding a strict equality option catches it.
2021-03-05 08:54:12 -08:00
Antonio Sánchez
9a663973b4 Revert "Fix rint for SSE/NEON."
This reverts commit e72dfeb8b9
2021-03-03 18:51:51 +00:00
Antonio Sanchez
e72dfeb8b9 Fix rint for SSE/NEON.
It seems *sometimes* with aggressive optimizations the combination
`psub(padd(a, b), b)` trick to force rounding is compiled away. Here
we replace with inline assembly to prevent this (I tried `volatile`,
but that leads to additional loads from memory).

Also fixed an edge case for large inputs `a` where adding `b` bumps
the value up a power of two and ends up rounding away more than
just the fractional part.  If we are over `2^digits` then just return
the input.  This edge case was missed in the test since the test was
comparing approximate equality, which was still satisfied.  Adding
a strict equality option catches it.
2021-03-03 09:41:46 -08:00
Antonio Sanchez
1e0c7d4f49 Add print for SSE/NEON, use NEON rounding intrinsics if available.
In SSE, by adding/subtracting 2^MantissaBits, we force rounding according to the
current rounding mode.

For NEON, we use the provided intrinsics for rint/floor/ceil if
available (armv8).

Related to #1969.
2021-02-27 22:42:07 +00:00
Antonio Sanchez
5529db7524 Fix SSE/NEON pfloor/pceil for saturated values.
The original will saturate if the input does not fit into an integer
type.  Here we fix this, returning the input if it doesn't have
enough precision to have a fractional part.

Also added `pceil` for NEON.

Fixes #1969.
2021-02-25 14:39:26 -08:00
Christoph Hertzberg
73922b0174 Fixes Bug #1925. Packets should be passed by const reference, even to inline functions. 2021-02-20 18:56:42 +01:00
Antonio Sanchez
7ff0b7a980 Updated pfrexp implementation.
The original implementation fails for 0, denormals, inf, and NaN.

See #2150
2021-02-17 02:23:24 +00:00
Antonio Sanchez
4cb563a01e Fix ldexp implementations.
The previous implementations produced garbage values if the exponent did
not fit within the exponent bits.  See #2131 for a complete discussion,
and !375 for other possible implementations.

Here we implement the 4-factor version. See `pldexp_impl` in
`GenericPacketMathFunctions.h` for a full description.

The SSE `pcmp*` methods were moved down since `pcmp_le<Packet4i>`
requires `por`.

Left as a "TODO" is to delegate to a faster version if we know the
exponent does fit within the exponent bits.

Fixes #2131.
2021-02-10 22:45:41 +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
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
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
Antonio Sanchez
e82722a4a7 Fix MSVC SSE casts.
MSVC doesn't like __m128(__m128i) c-style casts, so packets need to be
converted using intrinsic methods.
2020-12-11 08:52:59 -08:00
Rasmus Munk Larsen
125cc9a5df Implement vectorized complex square root.
Closes #1905

Measured speedup for sqrt of `complex<float>` on Skylake:

SSE:
```
name                      old time/op             new time/op  delta
BM_eigen_sqrt_ctype/1     49.4ns ± 0%             54.3ns ± 0%  +10.01%
BM_eigen_sqrt_ctype/8      332ns ± 0%               50ns ± 1%  -84.97%
BM_eigen_sqrt_ctype/64    2.81µs ± 1%             0.38µs ± 0%  -86.49%
BM_eigen_sqrt_ctype/512   23.8µs ± 0%              3.0µs ± 0%  -87.32%
BM_eigen_sqrt_ctype/4k     202µs ± 0%               24µs ± 2%  -88.03%
BM_eigen_sqrt_ctype/32k   1.63ms ± 0%             0.19ms ± 0%  -88.18%
BM_eigen_sqrt_ctype/256k  13.0ms ± 0%              1.5ms ± 1%  -88.20%
BM_eigen_sqrt_ctype/1M    52.1ms ± 0%              6.2ms ± 0%  -88.18%
```

AVX2:
```
name                      old cpu/op  new cpu/op  delta
BM_eigen_sqrt_ctype/1     53.6ns ± 0%  55.6ns ± 0%   +3.71%
BM_eigen_sqrt_ctype/8      334ns ± 0%    27ns ± 0%  -91.86%
BM_eigen_sqrt_ctype/64    2.79µs ± 0%  0.22µs ± 2%  -92.28%
BM_eigen_sqrt_ctype/512   23.8µs ± 1%   1.7µs ± 1%  -92.81%
BM_eigen_sqrt_ctype/4k     201µs ± 0%    14µs ± 1%  -93.24%
BM_eigen_sqrt_ctype/32k   1.62ms ± 0%  0.11ms ± 1%  -93.29%
BM_eigen_sqrt_ctype/256k  13.0ms ± 0%   0.9ms ± 1%  -93.31%
BM_eigen_sqrt_ctype/1M    52.0ms ± 0%   3.5ms ± 1%  -93.31%
```

AVX512:
```
name                      old cpu/op  new cpu/op  delta
BM_eigen_sqrt_ctype/1     53.7ns ± 0%  56.2ns ± 1%   +4.75%
BM_eigen_sqrt_ctype/8      334ns ± 0%    18ns ± 2%  -94.63%
BM_eigen_sqrt_ctype/64    2.79µs ± 0%  0.12µs ± 1%  -95.54%
BM_eigen_sqrt_ctype/512   23.9µs ± 1%   1.0µs ± 1%  -95.89%
BM_eigen_sqrt_ctype/4k     202µs ± 0%     8µs ± 1%  -96.13%
BM_eigen_sqrt_ctype/32k   1.63ms ± 0%  0.06ms ± 1%  -96.15%
BM_eigen_sqrt_ctype/256k  13.0ms ± 0%   0.5ms ± 4%  -96.11%
BM_eigen_sqrt_ctype/1M    52.1ms ± 0%   2.0ms ± 1%  -96.13%
```
2020-12-08 18:13:35 -08:00
Rasmus Munk Larsen
f9fac1d5b0 Add log2() to Eigen. 2020-12-04 21:45:09 +00:00
Rasmus Munk Larsen
f23dc5b971 Revert "Add log2() operator to Eigen"
This reverts commit 4d91519a9b.
2020-12-03 14:32:45 -08:00
Rasmus Munk Larsen
4d91519a9b Add log2() operator to Eigen 2020-12-03 22:31:44 +00:00