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Rasmus Munk Larsen ec93a6d098 Add a generic Eigen backend based on clang vector extensions 
The goal of this MR is to implement a generic SIMD backend (packet ops) for Eigen that uses clang vector extensions instead of platform-dependent intrinsics. Ideally, this should make it possible to build Eigen and achieve reasonable speed on any platform that has a recent clang compiler, without having to write any inline assembly or intrinsics.

Caveats:

* The current implementation is a proof of concept and supports vectorization for float, double, int32_t, and int64_t using fixed-size 512-bit vectors (a somewhat arbitrary choice). I have not done much to tune this for speed yet.
* For now, there is no way to enable this other than setting -DEIGEN_VECTORIZE_GENERIC on the command line.
* This only compiles with newer versions of clang. I have tested that it compiles and all tests pass with clang 19.1.7.

https://clang.llvm.org/docs/LanguageExtensions.html#vectors-and-extended-vectors

Closes #2998 and #2997

See merge request libeigen/eigen!2051

Co-authored-by: Rasmus Munk Larsen <rmlarsen@google.com>
Co-authored-by: Antonio Sánchez <cantonios@google.com>
2025-11-06 21:52:19 +00:00
..
accelerate_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
adjoint.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
AnnoyingScalar.h
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00
array_cwise.cpp
Fix select: return typed comparisons if vectorized
2025-09-24 05:38:12 +00:00
array_for_matrix.cpp
Remove select class
2025-08-10 17:44:09 +00:00
array_of_string.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
array_replicate.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
array_reverse.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
assignment_threaded.cpp
Fix warnings about repeated deinitions of macros.
2024-05-29 13:38:00 -07:00
bandmatrix.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
basicstuff.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
bdcsvd.cpp
Fix deflation in BDCSVD.
2024-02-15 23:53:59 +00:00
bfloat16_float.cpp
add nextafter for bfloat16
2024-10-26 00:08:25 +00:00
bicgstab.cpp
Initialize matrix in bicgstab test
2025-02-21 10:27:29 -08:00
blasutil.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
block.cpp
optimize setConstant, setZero
2024-11-22 03:39:19 +00:00
boostmultiprec.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
bug1213_main.cpp
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bug1213.cpp
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bug1213.h
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2023-12-05 21:22:55 +00:00
cholesky.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
cholmod_support.cpp
Fix segfault in CholmodBase::factorize() for zero matrix
2024-02-12 03:27:56 +00:00
clz.cpp
Add internal ctz/clz implementation.
2023-12-11 21:03:09 +00:00
CMakeLists.txt
ComplexQZ
2025-10-13 17:35:03 +00:00
commainitializer.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
complex_qz.cpp
Fix a benign bug in ComplexQZ
2025-10-24 20:54:54 +00:00
conjugate_gradient.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
conservative_resize.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
constexpr.cpp
Specify constructor template arguments for ConstexprTest struct
2025-02-25 19:38:47 +00:00
constructor.cpp
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2023-12-05 21:22:55 +00:00
corners.cpp
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2023-12-05 21:22:55 +00:00
ctorleak.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
CustomComplex.h
Remove assumption of std::complex for complex scalar types.
2025-02-12 15:44:32 -08:00
dense_storage.cpp
Ensure that destructor's needed by lldb make it into binary in non-inlined fashion
2024-11-15 17:15:09 +00:00
denseLM.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
determinant.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
diagonal_matrix_variadic_ctor.cpp
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2023-12-05 21:22:55 +00:00
diagonal.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
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diagonalmatrices.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
dontalign.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
dynalloc.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
eigen2support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
eigensolver_complex.cpp
Remove assumption of std::complex for complex scalar types.
2025-02-12 15:44:32 -08:00
eigensolver_generalized_real.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
eigensolver_generic.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
eigensolver_selfadjoint.cpp
Add a method to SelfAdjointEigenSolver for computing the matrix exponential
2025-10-05 15:06:04 +00:00
evaluator_common.h
bug #99: refactor assignment and compound assignment mechanism through "assignment functors" and "assignement kernels".
2013-11-06 18:17:59 +01:00
evaluators.cpp
Remove select class
2025-08-10 17:44:09 +00:00
exceptions.cpp
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00
fastmath.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
first_aligned.cpp
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2023-12-05 21:22:55 +00:00
float_conversion.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
geo_alignedbox.cpp
Return 0 volume for empty AlignedBox
2024-03-04 17:32:44 +00:00
geo_eulerangles.cpp
Fix "unary minus operator applied to unsigned type, result still unsigned" on MSVC and other stupid warnings
2024-04-12 19:35:04 +00:00
geo_homogeneous.cpp
fix errors in windows builds and tests
2025-10-07 22:47:35 +00:00
geo_hyperplane.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
geo_orthomethods.cpp
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2023-12-05 21:22:55 +00:00
geo_parametrizedline.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
geo_quaternion.cpp
Add factory/getters for quat coeffs in both orders
2025-05-28 18:39:55 -04:00
geo_transformations.cpp
Fix preshear transformation.
2024-01-30 06:37:33 +00:00
gpu_basic.cu
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
gpu_common.h
Protect kernel launch syntax from clang-format
2023-12-05 14:26:44 -08:00
gpu_example.cu
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
gpu_test_helper.h
Remove deprecated CUDA device properties.
2025-11-05 17:12:33 +00:00
half_float.cpp
Faster emulated half comparisons
2025-06-17 17:05:58 +00:00
hessenberg.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
householder.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
incomplete_cholesky.cpp
Fix incomplete cholesky.
2024-03-08 19:18:10 +00:00
incomplete_LUT.cpp
added functions to fetch L and U Factors from IncompleteLUT
2025-01-31 18:32:38 +00:00
indexed_view.cpp
Fix direct index aliased assignment.
2025-08-25 18:17:18 +00:00
initializer_list_construction.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
inplace_decomposition.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
integer_types.cpp
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inverse.cpp
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io.cpp
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is_same_dense.cpp
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2023-12-05 21:22:55 +00:00
jacobi.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
jacobisvd.cpp
Fix jacobi svd for TriangularBase
2025-10-10 00:10:50 +00:00
klu_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
linearstructure.cpp
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2023-12-05 21:22:55 +00:00
lscg.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
lu.cpp
Returns condition number of zero if matrix is not invertible.
2025-02-12 07:09:20 +00:00
main.h
CI enhancements: visual indication of flaky tests
2025-10-22 04:51:51 +00:00
mapped_matrix.cpp
optimize setConstant, setZero
2024-11-22 03:39:19 +00:00
mapstaticmethods.cpp
Fix "unary minus operator applied to unsigned type, result still unsigned" on MSVC and other stupid warnings
2024-04-12 19:35:04 +00:00
mapstride.cpp
optimize setConstant, setZero
2024-11-22 03:39:19 +00:00
matrix_cwise.cpp
Add missing cwiseSquare, tests for cwise matrix ops.
2024-03-28 04:26:55 +00:00
maxsizevector.cpp
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00
meta.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
metis_support.cpp
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miscmatrices.cpp
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2023-12-05 21:22:55 +00:00
mixingtypes.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
MovableScalar.h
make fixed_size matrices conform to std::is_standard_layout
2024-11-12 23:34:26 +00:00
nestbyvalue.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
nesting_ops.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
nomalloc.cpp
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2023-12-05 21:22:55 +00:00
nullary.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
num_dimensions.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
numext.cpp
Bit shifting functions
2024-05-03 18:55:02 +00:00
OffByOneScalar.h
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
packet_segment.cpp
Suppress Warray-bounds warning in generic ploaduSegment, fix edge case for vectorized cast
2025-07-23 22:26:40 +00:00
packetmath_test_shared.h
Modify pselect and various masks to use Scalar(1) for true.
2025-06-20 22:40:46 +00:00
packetmath.cpp
Add a generic Eigen backend based on clang vector extensions
2025-11-06 21:52:19 +00:00
pardiso_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
pastix_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
permutationmatrices.cpp
Make permutation products aliasing by default.
2025-08-25 18:39:06 +00:00
prec_inverse_4x4.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
product_extra.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
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product_large.cpp
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product_mmtr.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
product_notemporary.cpp
make fixed size matrices and arrays trivially_default_constructible
2024-10-21 17:10:15 +00:00
product_selfadjoint.cpp
Fix 1x1 selfadjoint matrix-vector product bug
2025-07-07 17:32:54 +00:00
product_small.cpp
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2023-12-05 21:22:55 +00:00
product_symm.cpp
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product_syrk.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
product_threaded.cpp
A few cleanups to threaded product code and test.
2024-08-09 09:35:23 -07:00
product_trmm.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
product_trmv.cpp
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2023-12-05 21:22:55 +00:00
product_trsolve.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
product.h
Replace calls to numext::fma with numext:madd.
2025-08-28 21:40:19 +00:00
qr_colpivoting.cpp
Fix QR colpivoting warnings and test failure.
2024-02-28 15:00:13 +00:00
qr_fullpivoting.cpp
Add method signDeterminant() to QR and related decompositions.
2024-02-20 23:44:28 +00:00
qr.cpp
Add method signDeterminant() to QR and related decompositions.
2024-02-20 23:44:28 +00:00
qtvector.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
rand.cpp
Fix random again
2024-03-29 21:49:27 +00:00
random_matrix_helper.h
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
random_matrix.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
random_without_cast_overflow.h
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
real_qz.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
realview.cpp
add RealView api
2025-08-12 16:55:05 +00:00
redux.cpp
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00
ref.cpp
fix errors in windows builds and tests
2025-10-07 22:47:35 +00:00
reshape.cpp
Don't pass matrices by value.
2024-10-29 18:19:02 +00:00
resize.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
rvalue_types.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
SafeScalar.h
Fix random again
2024-03-29 21:49:27 +00:00
schur_complex.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
schur_real.cpp
Fix real schur and polynomial solver.
2024-02-17 15:22:11 +00:00
selfadjoint.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
serializer.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
simplicial_cholesky.cpp
Add SimplicialNonHermitianLLT and SimplicialNonHermitianLDLT
2024-03-28 00:22:27 +00:00
sizeof.cpp
Add tests for sizeof() with one dynamic dimension.
2024-10-28 13:48:53 -07:00
sizeoverflow.cpp
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00
skew_symmetric_matrix3.cpp
fix skew symmetric test
2024-02-04 21:13:06 -05:00
smallvectors.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
solverbase.h
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparse_basic.cpp
Sparse move
2024-03-27 17:44:50 +00:00
sparse_block.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparse_permutations.cpp
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sparse_product.cpp
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2023-12-05 21:22:55 +00:00
sparse_ref.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparse_solver.h
Add SimplicialNonHermitianLLT and SimplicialNonHermitianLDLT
2024-03-28 00:22:27 +00:00
sparse_solvers.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparse_vector.cpp
Fix "unary minus operator applied to unsigned type, result still unsigned" on MSVC and other stupid warnings
2024-04-12 19:35:04 +00:00
sparse.h
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparseLM.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparselu.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
sparseqr.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
special_numbers.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
split_test_helper.h
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2023-12-05 21:22:55 +00:00
spqr_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
stable_norm.cpp
Revert "Clean up stableNorm"
2024-01-19 20:22:47 +00:00
stddeque_overload.cpp
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2023-12-05 21:22:55 +00:00
stddeque.cpp
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2023-12-05 21:22:55 +00:00
stdlist_overload.cpp
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2023-12-05 21:22:55 +00:00
stdlist.cpp
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2023-12-05 21:22:55 +00:00
stdvector_overload.cpp
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2023-12-05 21:22:55 +00:00
stdvector.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
stl_iterators.cpp
fix tests when scalar is bfloat16, half
2024-02-07 04:50:11 +00:00
superlu_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
svd_common.h
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00
svd_fill.h
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
swap.cpp
Add free-function swap.
2024-10-14 15:51:40 +00:00
sycl_basic.cpp
[SYCL-2020] Add test to validate SYCL in Eigen core.
2023-07-28 15:45:08 +00:00
symbolic_index.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
threads_eventcount.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
threads_fork_join.cpp
Slightly simplify ForkJoin code, and make sure the test is actually run.
2025-02-25 17:22:43 +00:00
threads_non_blocking_thread_pool.cpp
Fix various asan errors.
2024-01-08 00:13:17 +00:00
threads_runqueue.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
triangular.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
tuple_test.cpp
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2023-12-05 21:22:55 +00:00
type_alias.cpp
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2023-12-05 21:22:55 +00:00
umeyama.cpp
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2023-12-05 21:22:55 +00:00
umfpack_support.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
unalignedcount.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
unaryview.cpp
Fix CwiseUnaryView.
2024-03-11 19:08:30 +00:00
upperbidiagonalization.cpp
Clang-format tests, examples, libraries, benchmarks, etc.
2023-12-05 21:22:55 +00:00
vectorization_logic.cpp
Fix Warray-bounds warning for fixed-size assignments
2025-02-18 19:23:14 +00:00
vectorwiseop.cpp
Fixes #2952
2025-08-07 16:58:22 +00:00
visitor.cpp
Add missing bool SSE2 PacketMath comparison
2025-09-22 21:28:45 +02:00
zerosized.cpp
Fix a collection of random failures encountered when testing with Bazel.
2025-06-26 16:58:24 +00:00