Gael Guennebaud
44b54fa4a3
Protect c++11 type alias with Eigen's macro, and add respective unit test.
2019-02-20 14:43:05 +01:00
Gael Guennebaud
7195f008ce
Merged in ra_bauke/eigen (pull request PR-180)
...
alias template for matrix and array classes, see also bug #864
Approved-by: Heiko Bauke <heiko.bauke@mail.de>
2019-02-20 13:22:39 +00:00
Gael Guennebaud
edd413c184
bug #1409 : make EIGEN_MAKE_ALIGNED_OPERATOR_NEW* macros empty in c++17 mode:
...
- this helps clang 5 and 6 to support alignas in STL's containers.
- this makes the public API of our (and users) classes cleaner
2019-02-20 13:52:11 +01:00
Gael Guennebaud
482c5fb321
bug #899 : remove "rank-revealing" qualifier for SparseQR and warn that it is not always rank-revealing.
2019-02-19 22:52:15 +01:00
Christoph Hertzberg
a1646fc960
Commas at the end of enumerator lists are not allowed in C++03
2019-02-19 14:32:25 +01:00
Gael Guennebaud
ab78cabd39
Add C++17 detection macro, and make sure throw(xpr) is not used if the compiler is in c++17 mode.
2019-02-19 14:04:35 +01:00
Gael Guennebaud
115da6a1ea
Fix conversion warnings
2019-02-19 14:00:15 +01:00
Gael Guennebaud
7580112c31
Fix harmless Scalar vs RealScalar cast.
2019-02-18 22:12:28 +01:00
Gael Guennebaud
796db94e6e
bug #1194 : implement slightly faster and SIMD friendly 4x4 determinant.
2019-02-18 16:21:27 +01:00
Gael Guennebaud
31b6e080a9
Fix regression: .conjugate() was popped out but not re-introduced.
2019-02-18 14:45:55 +01:00
Gael Guennebaud
c69d0d08d0
Set cost of conjugate to 0 (in practice it boils down to a no-op).
...
This is also important to make sure that A.conjugate() * B.conjugate() does not evaluate
its arguments into temporaries (e.g., if A and B are fixed and small, or * fall back to lazyProduct)
2019-02-18 14:43:07 +01:00
Gael Guennebaud
512b74aaa1
GEMM: catch all scalar-multiple variants when falling-back to a coeff-based product.
...
Before only s*A*B was caught which was both inconsistent with GEMM, sub-optimal,
and could even lead to compilation-errors (https://stackoverflow.com/questions/54738495 ).
2019-02-18 11:47:54 +01:00
Christoph Hertzberg
ec032ac03b
Guard C++11-style default constructor. Also, this is only needed for MSVC
2019-02-16 09:44:05 +01:00
Gael Guennebaud
83309068b4
bug #1680 : improve MSVC inlining by declaring many triavial constructors and accessors as STRONG_INLINE.
2019-02-15 16:35:35 +01:00
Gael Guennebaud
0505248f25
bug #1680 : make all "block" methods strong-inline and device-functions (some were missing EIGEN_DEVICE_FUNC)
2019-02-15 16:33:56 +01:00
Gael Guennebaud
559320745e
bug #1678 : Fix lack of __FMA__ macro on MSVC with AVX512
2019-02-15 10:30:28 +01:00
Gael Guennebaud
d85ae650bf
bug #1678 : workaround MSVC compilation issues with AVX512
2019-02-15 10:24:17 +01:00
Gael Guennebaud
f2970819a2
bug #1679 : avoid possible division by 0 in complex-schur
2019-02-15 09:39:25 +01:00
Rasmus Munk Larsen
65e23ca7e9
Revert b55b5c7280
...
.
2019-02-14 13:46:13 -08:00
Gael Guennebaud
bdcb5f3304
Let's properly use Score instead of std::abs, and remove deprecated FIXME ( a /= b does a/b and not a * (1/b) as it was a long time ago...)
2019-02-11 22:56:19 +01:00
Gael Guennebaud
2edfc6807d
Fix compilation of empty products of the form: Mx0 * 0xN
2019-02-11 18:24:07 +01:00
Gael Guennebaud
eb46f34a8c
Speed up 2x2 LU by a factor 2, and other small fixed sizes by about 10%.
...
Not sure that's so critical, but this does not complexify the code base much.
2019-02-11 17:59:35 +01:00
Gael Guennebaud
ab6e6edc32
Speedup PartialPivLU for small matrices by passing compile-time sizes when available.
...
This change set also makes a better use of Map<>+OuterStride and Ref<> yielding surprising speed up for small dynamic sizes as well.
The table below reports times in micro seconds for 10 random matrices:
| ------ float --------- | ------- double ------- |
size | before after ratio | before after ratio |
fixed 1 | 0.34 0.11 2.93 | 0.35 0.11 3.06 |
fixed 2 | 0.81 0.24 3.38 | 0.91 0.25 3.60 |
fixed 3 | 1.49 0.49 3.04 | 1.68 0.55 3.01 |
fixed 4 | 2.31 0.70 3.28 | 2.45 1.08 2.27 |
fixed 5 | 3.49 1.11 3.13 | 3.84 2.24 1.71 |
fixed 6 | 4.76 1.64 2.88 | 4.87 2.84 1.71 |
dyn 1 | 0.50 0.40 1.23 | 0.51 0.40 1.26 |
dyn 2 | 1.08 0.85 1.27 | 1.04 0.69 1.49 |
dyn 3 | 1.76 1.26 1.40 | 1.84 1.14 1.60 |
dyn 4 | 2.57 1.75 1.46 | 2.67 1.66 1.60 |
dyn 5 | 3.80 2.64 1.43 | 4.00 2.48 1.61 |
dyn 6 | 5.06 3.43 1.47 | 5.15 3.21 1.60 |
2019-02-11 13:58:24 +01:00
Gael Guennebaud
013cc3a6b3
Make GEMM fallback to GEMV for runtime vectors.
...
This is a more general and simpler version of changeset 4c0fa6ce0f
2019-02-07 16:24:09 +01:00
Gael Guennebaud
fa2fcb4895
Backed out changeset 4c0fa6ce0f
2019-02-07 16:07:08 +01:00
Gael Guennebaud
b3c4344a68
bug #1676 : workaround GCC's bug in c++17 mode.
2019-02-07 15:21:35 +01:00
Eugene Zhulenev
6d0f6265a9
Remove duplicated comment line
2019-02-04 10:30:25 -08:00
Eugene Zhulenev
690b2c45b1
Fix GeneralBlockPanelKernel Android compilation
2019-02-04 10:29:15 -08:00
Gael Guennebaud
871e2e5339
bug #1674 : disable GCC's unsafe-math-optimizations in sin/cos vectorization (results are completely wrong otherwise)
2019-02-03 08:54:47 +01:00
Rasmus Larsen
e7b481ea74
Merged in rmlarsen/eigen (pull request PR-578)
...
Speed up Eigen matrix*vector and vector*matrix multiplication.
Approved-by: Eugene Zhulenev <ezhulenev@google.com>
2019-02-02 01:53:44 +00:00
Sameer Agarwal
b55b5c7280
Speed up row-major matrix-vector product on ARM
...
The row-major matrix-vector multiplication code uses a threshold to
check if processing 8 rows at a time would thrash the cache.
This change introduces two modifications to this logic.
1. A smaller threshold for ARM and ARM64 devices.
The value of this threshold was determined empirically using a Pixel2
phone, by benchmarking a large number of matrix-vector products in the
range [1..4096]x[1..4096] and measuring performance separately on
small and little cores with frequency pinning.
On big (out-of-order) cores, this change has little to no impact. But
on the small (in-order) cores, the matrix-vector products are up to
700% faster. Especially on large matrices.
The motivation for this change was some internal code at Google which
was using hand-written NEON for implementing similar functionality,
processing the matrix one row at a time, which exhibited substantially
better performance than Eigen.
With the current change, Eigen handily beats that code.
2. Make the logic for choosing number of simultaneous rows apply
unifiormly to 8, 4 and 2 rows instead of just 8 rows.
Since the default threshold for non-ARM devices is essentially
unchanged (32000 -> 32 * 1024), this change has no impact on non-ARM
performance. This was verified by running the same set of benchmarks
on a Xeon desktop.
2019-02-01 15:23:53 -08:00
Rasmus Munk Larsen
4c0fa6ce0f
Speed up Eigen matrix*vector and vector*matrix multiplication.
...
This change speeds up Eigen matrix * vector and vector * matrix multiplication for dynamic matrices when it is known at runtime that one of the factors is a vector.
The benchmarks below test
c.noalias()= n_by_n_matrix * n_by_1_matrix;
c.noalias()= 1_by_n_matrix * n_by_n_matrix;
respectively.
Benchmark measurements:
SSE:
Run on *** (72 X 2992 MHz CPUs); 2019-01-28T17:51:44.452697457-08:00
CPU: Intel Skylake Xeon with HyperThreading (36 cores) dL1:32KB dL2:1024KB dL3:24MB
Benchmark Base (ns) New (ns) Improvement
------------------------------------------------------------------
BM_MatVec/64 1096 312 +71.5%
BM_MatVec/128 4581 1464 +68.0%
BM_MatVec/256 18534 5710 +69.2%
BM_MatVec/512 118083 24162 +79.5%
BM_MatVec/1k 704106 173346 +75.4%
BM_MatVec/2k 3080828 742728 +75.9%
BM_MatVec/4k 25421512 4530117 +82.2%
BM_VecMat/32 352 130 +63.1%
BM_VecMat/64 1213 425 +65.0%
BM_VecMat/128 4640 1564 +66.3%
BM_VecMat/256 17902 5884 +67.1%
BM_VecMat/512 70466 24000 +65.9%
BM_VecMat/1k 340150 161263 +52.6%
BM_VecMat/2k 1420590 645576 +54.6%
BM_VecMat/4k 8083859 4364327 +46.0%
AVX2:
Run on *** (72 X 2993 MHz CPUs); 2019-01-28T17:45:11.508545307-08:00
CPU: Intel Skylake Xeon with HyperThreading (36 cores) dL1:32KB dL2:1024KB dL3:24MB
Benchmark Base (ns) New (ns) Improvement
------------------------------------------------------------------
BM_MatVec/64 619 120 +80.6%
BM_MatVec/128 9693 752 +92.2%
BM_MatVec/256 38356 2773 +92.8%
BM_MatVec/512 69006 12803 +81.4%
BM_MatVec/1k 443810 160378 +63.9%
BM_MatVec/2k 2633553 646594 +75.4%
BM_MatVec/4k 16211095 4327148 +73.3%
BM_VecMat/64 925 227 +75.5%
BM_VecMat/128 3438 830 +75.9%
BM_VecMat/256 13427 2936 +78.1%
BM_VecMat/512 53944 12473 +76.9%
BM_VecMat/1k 302264 157076 +48.0%
BM_VecMat/2k 1396811 675778 +51.6%
BM_VecMat/4k 8962246 4459010 +50.2%
AVX512:
Run on *** (72 X 2993 MHz CPUs); 2019-01-28T17:35:17.239329863-08:00
CPU: Intel Skylake Xeon with HyperThreading (36 cores) dL1:32KB dL2:1024KB dL3:24MB
Benchmark Base (ns) New (ns) Improvement
------------------------------------------------------------------
BM_MatVec/64 401 111 +72.3%
BM_MatVec/128 1846 513 +72.2%
BM_MatVec/256 36739 1927 +94.8%
BM_MatVec/512 54490 9227 +83.1%
BM_MatVec/1k 487374 161457 +66.9%
BM_MatVec/2k 2016270 643824 +68.1%
BM_MatVec/4k 13204300 4077412 +69.1%
BM_VecMat/32 324 106 +67.3%
BM_VecMat/64 1034 246 +76.2%
BM_VecMat/128 3576 802 +77.6%
BM_VecMat/256 13411 2561 +80.9%
BM_VecMat/512 58686 10037 +82.9%
BM_VecMat/1k 320862 163750 +49.0%
BM_VecMat/2k 1406719 651397 +53.7%
BM_VecMat/4k 7785179 4124677 +47.0%
Currently watchingStop watching
2019-01-31 14:24:08 -08:00
Gael Guennebaud
7ef879f6bf
GEBP: improves pipelining in the 1pX4 path with FMA.
...
Prior to this change, a product with a LHS having 8 rows was faster with AVX-only than with AVX+FMA.
With AVX+FMA I measured a speed up of about x1.25 in such cases.
2019-01-30 23:45:12 +01:00
Gael Guennebaud
de77bf5d6c
Fix compilation with ARM64.
2019-01-30 16:48:20 +01:00
Gael Guennebaud
eb4c6bb22d
Fix conflicts and merge
2019-01-30 15:57:08 +01:00
Gael Guennebaud
df12fae8b8
According to https://gcc.gnu.org/bugzilla/show_bug.cgi?id=89101 , the previous GCC issue is fixed in GCC trunk (will be gcc 9).
2019-01-30 11:52:28 +01:00
Gael Guennebaud
3775926bba
ARM64 & GEBP: add specialization for double +30% speed up
2019-01-30 11:49:06 +01:00
Gael Guennebaud
be5b0f664a
ARM64 & GEBP: Make use of vfmaq_laneq_f32 and workaround GCC's issue in generating good ASM
2019-01-30 11:48:25 +01:00
Gael Guennebaud
8a06c699d0
bug #1669 : fix PartialPivLU/inverse with zero-sized matrices.
2019-01-29 10:27:13 +01:00
Gael Guennebaud
a2a07e62b9
Fix compilation with c++03 (local class cannot be template arguments), and make SparseMatrix::assignDiagonal truly protected.
2019-01-29 10:10:07 +01:00
Gael Guennebaud
f489f44519
bug #1574 : implement "sparse_matrix =,+=,-= diagonal_matrix" with smart insertion strategies of missing diagonal coeffs.
2019-01-28 17:29:50 +01:00
Gael Guennebaud
803fa79767
Move evaluator<SparseCompressedBase>::find(i,j) to a more general and reusable SparseCompressedBase::lower_bound(i,j) functiion
2019-01-28 17:24:44 +01:00
Christoph Hertzberg
5a52e35f9a
Renaming some more I
identifiers
2019-01-26 13:18:21 +01:00
Rasmus Munk Larsen
71429883ee
Fix compilation error in NEON GEBP specializaition of madd.
2019-01-25 17:00:21 -08:00
Gael Guennebaud
ec8a387972
cleanup
2019-01-24 10:24:45 +01:00
David Tellenbach
237b03b372
PR 574: use variadic template instead of initializer_list to implement fixed-size vector ctor from coefficients.
2019-01-23 00:07:19 +01:00
Gael Guennebaud
80f81f9c4b
Cleanup SFINAE in Array/Matrix(initializer_list) ctors and minor doc editing.
2019-01-22 17:08:47 +01:00
David Tellenbach
db152b9ee6
PR 572: Add initializer list constructors to Matrix and Array (include unit tests and doc)
...
- {1,2,3,4,5,...} for fixed-size vectors only
- {{1,2,3},{4,5,6}} for the general cases
- {{1,2,3,4,5,....}} is allowed for both row and column-vector
2019-01-21 16:25:57 +01:00
nluehr
92774f0275
Replace host_define.h with cuda_runtime_api.h
2019-01-18 16:10:09 -06:00
Christoph Hertzberg
da0a41b9ce
Mask unused-parameter warnings, when building with NDEBUG
2019-01-18 10:41:14 +01:00
Rasmus Munk Larsen
2eccbaf3f7
Add missing logical packet ops for GPU and NEON.
2019-01-17 17:45:08 -08:00
Gael Guennebaud
ee3662abc5
Remove some useless const_cast
2019-01-17 18:27:49 +01:00
Gael Guennebaud
0fe6b7d687
Make nestByValue works again (broken since 3.3) and add unit tests.
2019-01-17 18:27:25 +01:00
Gael Guennebaud
4b7cf7ff82
Extend reshaped unit tests and remove useless const_cast
2019-01-17 17:35:32 +01:00
Gael Guennebaud
b57c9787b1
Cleanup useless const_cast and add missing broadcast assignment tests
2019-01-17 16:55:42 +01:00
Gael Guennebaud
be05d0030d
Make FullPivLU use conjugateIf<>
2019-01-17 12:01:00 +01:00
Patrick Peltzer
15e53d5d93
PR 567: makes all dense solvers inherit SoverBase (LU,Cholesky,QR,SVD).
...
This changeset also includes:
* add HouseholderSequence::conjugateIf
* define int as the StorageIndex type for all dense solvers
* dedicated unit tests, including assertion checking
* _check_solve_assertion(): this method can be implemented in derived solver classes to implement custom checks
* CompleteOrthogonalDecompositions: add applyZOnTheLeftInPlace, fix scalar type in applyZAdjointOnTheLeftInPlace(), add missing assertions
* Cholesky: add missing assertions
* FullPivHouseholderQR: Corrected Scalar type in _solve_impl()
* BDCSVD: Unambiguous return type for ternary operator
* SVDBase: Corrected Scalar type in _solve_impl()
2019-01-17 01:17:39 +01:00
Gael Guennebaud
7f32109c11
Add conjugateIf<bool> members to DesneBase, TriangularView, SelfadjointView, and make PartialPivLU use it.
2019-01-17 11:33:43 +01:00
Gael Guennebaud
562985bac4
bug #1646 : fix false aliasing detection for A.row(0) = A.col(0);
...
This changeset completely disable the detection for vectors for which are current mechanism cannot detect any positive aliasing anyway.
2019-01-17 00:14:27 +01:00
Rasmus Munk Larsen
7401e2541d
Fix compilation error for logical packet ops with older compilers.
2019-01-16 14:43:33 -08:00
Gael Guennebaud
0f028f61cb
GEBP: fix swapped kernel mode with AVX512 and complex scalars
2019-01-16 22:26:38 +01:00
Gael Guennebaud
e118ce86fd
GEBP: cleanup logic to choose between a 4 packets of 1 packet
2019-01-16 21:47:42 +01:00
Gael Guennebaud
70e133333d
bug #1661 : fix regression in GEBP and AVX512
2019-01-16 21:22:20 +01:00
Gael Guennebaud
502f717980
bug #1646 : disable aliasing detection for empty and 1x1 expression
2019-01-16 14:33:45 +01:00
Gael Guennebaud
0b466b6933
bug #1633 : use proper type for madd temporaries, factorize RhsPacketx4.
2019-01-16 13:50:13 +01:00
Renjie Liu
dbfcceabf5
Bug: 1633: refactor gebp kernel and optimize for neon
2019-01-16 12:51:36 +08:00
Gael Guennebaud
2b70b2f570
Make Transform::rotation() an alias to Transform::linear() in the case of an Isometry
2019-01-15 22:50:42 +01:00
Gael Guennebaud
2c2c114995
Silent maybe-uninitialized warnings by gcc
2019-01-15 16:53:15 +01:00
Gael Guennebaud
6ec6bf0b0d
Enable visitor on empty matrices (the visitor is left unchanged), and protect min/maxCoeff(Index*,Index*) on empty matrices by an assertion (+ doc & unit tests)
2019-01-15 15:21:14 +01:00
Gael Guennebaud
027e44ed24
bug #1592 : makes partial min/max reductions trigger an assertion on inputs with a zero reduction length (+doc and tests)
2019-01-15 15:13:24 +01:00
Gael Guennebaud
f8bc5cb39e
Fix detection of vector-at-time: use Rows/Cols instead of MaxRow/MaxCols.
...
This fix VectorXd(n).middleCol(0,0).outerSize() which was equal to 1.
2019-01-15 15:09:49 +01:00
Gael Guennebaud
6cf7afa3d9
Typo
2019-01-15 11:04:37 +01:00
Rasmus Larsen
7b3aab0936
Merged in rmlarsen/eigen (pull request PR-570)
...
Add support for inverse hyperbolic functions. Fix cost of division.
2019-01-14 21:31:33 +00:00
Gael Guennebaud
250dcd1fdb
bug #1652 : fix position of EIGEN_ALIGN16 attributes in Neon and Altivec
2019-01-14 21:45:56 +01:00
Rasmus Larsen
5a59452aae
Merged eigen/eigen into default
2019-01-14 10:23:23 -08:00
Gael Guennebaud
3c9e6d206d
AVX512: fix pgather/pscatter for Packet4cd and unaligned pointers
2019-01-14 17:57:28 +01:00
Gael Guennebaud
61b6eb05fe
AVX512 (r)sqrt(double) was mistakenly disabled with clang and others
2019-01-14 17:28:47 +01:00
Gael Guennebaud
ccddeaad90
fix warning
2019-01-14 16:51:16 +01:00
Gael Guennebaud
d4881751d3
Doc: add Isometry in the list of supported Mode of Transform<>
2019-01-14 16:38:26 +01:00
Greg Coombe
9d988a1e1a
Initialize isometric transforms like affine transforms.
...
The isometric transform, like the affine transform, has an implicit last
row of [0, 0, 0, 1]. This was not being properly initialized, as verified
by a new test function.
2019-01-11 23:14:35 -08:00
Gael Guennebaud
4356a55a61
PR 571: Implements an accurate argument reduction algorithm for huge inputs of sin/cos and call it instead of falling back to std::sin/std::cos.
...
This makes both the small and huge argument cases faster because:
- for small inputs this removes the last pselect
- for large inputs only the reduction part follows a scalar path,
the rest use the same SIMD path as the small-argument case.
2019-01-14 13:54:01 +01:00
Gael Guennebaud
f566724023
Fix StorageIndex FIXME in dense LU solvers
2019-01-13 17:54:30 +01:00
Rasmus Munk Larsen
1c6e6e2c3f
Merge.
2019-01-11 17:47:11 -08:00
Rasmus Munk Larsen
28ba1b2c32
Add support for inverse hyperbolic functions.
...
Fix cost of division.
2019-01-11 17:45:37 -08:00
Rasmus Munk Larsen
89c4001d6f
Fix warnings in ptrue for complex and half types.
2019-01-11 14:10:57 -08:00
Rasmus Munk Larsen
a49d01edba
Fix warnings in ptrue for complex and half types.
2019-01-11 13:18:17 -08:00
Rasmus Munk Larsen
df29511ac0
Fix merge.
2019-01-11 10:36:36 -08:00
Rasmus Munk Larsen
9396ace46b
Merge.
2019-01-11 10:28:52 -08:00
Rasmus Larsen
74882471d0
Merged eigen/eigen into default
2019-01-11 10:20:55 -08:00
Gael Guennebaud
9005f0111f
Replace compiler's alignas/alignof extension by respective c++11 keywords when available. This also fix a compilation issue with gcc-4.7.
2019-01-11 17:10:54 +01:00
Mark D Ryan
3c9add6598
Remove reinterpret_cast from AVX512 complex implementation
...
The reinterpret_casts used in ptranspose(PacketBlock<Packet8cf,4>&)
ptranspose(PacketBlock<Packet8cf,8>&) don't appear to be working
correctly. They're used to convert the kernel parameters to
PacketBlock<Packet8d,T>& so that the complex number versions of
ptranspose can be written using the existing double implementations.
Unfortunately, they don't seem to work and are responsible for 9 unit
test failures in the AVX512 build of tensorflow master. This commit
fixes the issue by manually initialising PacketBlock<Packet8d,T>
variables with the contents of the kernel parameter before calling
the double version of ptranspose, and then copying the resulting
values back into the kernel parameter before returning.
2019-01-11 14:02:09 +01:00
Rasmus Munk Larsen
fcfced13ed
Rename pones -> ptrue. Use _CMP_TRUE_UQ where appropriate.
2019-01-09 17:20:33 -08:00
Rasmus Munk Larsen
e15bb785ad
Collapsed revision
...
* Add packet up "pones". Write pnot(a) as pxor(pones(a), a).
* Collapsed revision
* Simplify a bit.
* Undo useless diffs.
* Fix typo.
2019-01-09 16:34:23 -08:00
Rasmus Munk Larsen
f6ba6071c5
Fix typo.
2019-01-09 16:34:23 -08:00
Rasmus Munk Larsen
8f04442526
Collapsed revision
...
* Collapsed revision
* Add packet up "pones". Write pnot(a) as pxor(pones(a), a).
* Collapsed revision
* Simplify a bit.
* Undo useless diffs.
* Fix typo.
2019-01-09 16:34:23 -08:00
Rasmus Munk Larsen
e00521b514
Undo useless diffs.
2019-01-09 16:32:53 -08:00
Rasmus Munk Larsen
f2767112c8
Simplify a bit.
2019-01-09 16:29:18 -08:00
Rasmus Munk Larsen
cb955df9a6
Add packet up "pones". Write pnot(a) as pxor(pones(a), a).
2019-01-09 16:17:08 -08:00
Rasmus Larsen
cb3c059fa4
Merged eigen/eigen into default
2019-01-09 15:04:17 -08:00
Gael Guennebaud
d812f411c3
bug #1654 : fix compilation with cuda and no c++11
2019-01-09 18:00:05 +01:00