Eigen::internal Namespace Reference

template <class> class MakePointer_ is added to convert the host pointer to the device pointer. More...

Classes
struct	Abs
struct	Abs< Num, false >
struct	abs_knowing_score
struct	abs_knowing_score< Scalar, typename scalar_score_coeff_op< Scalar >::Score_is_abs >
struct	accessors_level
struct	add_assign_op
struct	add_const
struct	add_const< T & >
struct	add_const_on_value_type
struct	add_const_on_value_type< T & >
struct	add_const_on_value_type< T * >
struct	add_const_on_value_type< T *const >
struct	add_const_on_value_type< T const *const >
struct	add_const_on_value_type_if_arithmetic
class	aligned_stack_memory_handler
struct	all_indices_known_statically_impl
struct	all_indices_known_statically_impl< const DimensionList< Index, Rank > >
struct	all_indices_known_statically_impl< DimensionList< Index, Rank > >
struct	all_unroller
struct	all_unroller< Derived, 0 >
struct	all_unroller< Derived, Dynamic >
class	AmbiVector
struct	AndReducer
struct	any_unroller
struct	any_unroller< Derived, 0 >
struct	any_unroller< Derived, Dynamic >
struct	are_inner_most_dims
struct	arg_prod
struct	arg_prod< empty_list >
struct	ArgMaxTupleReducer
struct	ArgMinTupleReducer
struct	arpack_wrapper
struct	arpack_wrapper< double, double >
struct	arpack_wrapper< float, float >
struct	array_size
struct	array_size< array< T, N > &>
struct	array_size< array< T, N > >
struct	array_size< const array< T, N > &>
struct	array_size< const array< T, N > >
struct	array_size< const DimensionList< Index, Rank > >
struct	array_size< const DSizes< DenseIndex, NumDims > >
struct	array_size< const Sizes< Indices... > >
struct	array_size< DimensionList< Index, Rank > >
struct	array_size< DSizes< DenseIndex, NumDims > >
struct	array_size< Sizes< Indices... > >
struct	ArrayApplyAndReduce
struct	ArrayApplyAndReduce< Reducer, Op, A, 1 >
struct	ArrayZipAndReduce
struct	ArrayZipAndReduce< Reducer, Op, A, B, 1 >
struct	assign_op
struct	assign_op< DstScalar, void >
struct	Assignment
struct	Assignment< DstXprType, CwiseBinaryOp< internal::scalar_product_op< ScalarBis, Scalar >, const CwiseNullaryOp< internal::scalar_constant_op< ScalarBis >, Plain >, const Product< Lhs, Rhs, DefaultProduct > >, AssignFunc, Dense2Dense >
struct	Assignment< DstXprType, Homogeneous< ArgType, Horizontal >, internal::assign_op< Scalar, typename ArgType::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Homogeneous< ArgType, Vertical >, internal::assign_op< Scalar, typename ArgType::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Inverse< ColPivHouseholderQR< MatrixType > >, internal::assign_op< typename DstXprType::Scalar, typename ColPivHouseholderQR< MatrixType >::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Inverse< CompleteOrthogonalDecomposition< MatrixType > >, internal::assign_op< typename DstXprType::Scalar, typename CompleteOrthogonalDecomposition< MatrixType >::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Inverse< FullPivHouseholderQR< MatrixType > >, internal::assign_op< typename DstXprType::Scalar, typename FullPivHouseholderQR< MatrixType >::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Inverse< FullPivLU< MatrixType > >, internal::assign_op< typename DstXprType::Scalar, typename FullPivLU< MatrixType >::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Inverse< PartialPivLU< MatrixType > >, internal::assign_op< typename DstXprType::Scalar, typename PartialPivLU< MatrixType >::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Inverse< XprType >, internal::assign_op< typename DstXprType::Scalar, typename XprType::Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Product< Lhs, Rhs, AliasFreeProduct >, internal::add_assign_op< typename DstXprType::Scalar, typename Product< Lhs, Rhs, AliasFreeProduct >::Scalar >, Sparse2Dense >
struct	Assignment< DstXprType, Product< Lhs, Rhs, AliasFreeProduct >, internal::assign_op< typename DstXprType::Scalar, typename Product< Lhs, Rhs, AliasFreeProduct >::Scalar >, Sparse2Dense >
struct	Assignment< DstXprType, Product< Lhs, Rhs, AliasFreeProduct >, internal::sub_assign_op< typename DstXprType::Scalar, typename Product< Lhs, Rhs, AliasFreeProduct >::Scalar >, Sparse2Dense >
struct	Assignment< DstXprType, Product< Lhs, Rhs, DefaultProduct >, internal::add_assign_op< Scalar, typename Product< Lhs, Rhs, DefaultProduct >::Scalar >, Dense2Triangular >
struct	Assignment< DstXprType, Product< Lhs, Rhs, DefaultProduct >, internal::assign_op< Scalar, typename Product< Lhs, Rhs, DefaultProduct >::Scalar >, Dense2Triangular >
struct	Assignment< DstXprType, Product< Lhs, Rhs, DefaultProduct >, internal::sub_assign_op< Scalar, typename Product< Lhs, Rhs, DefaultProduct >::Scalar >, Dense2Triangular >
struct	Assignment< DstXprType, Product< Lhs, Rhs, Options >, internal::add_assign_op< Scalar, Scalar >, Dense2Dense, typename enable_if<(Options==DefaultProduct||Options==AliasFreeProduct)>::type >
struct	Assignment< DstXprType, Product< Lhs, Rhs, Options >, internal::assign_op< Scalar, Scalar >, Dense2Dense, typename enable_if<(Options==DefaultProduct||Options==AliasFreeProduct)>::type >
struct	Assignment< DstXprType, Product< Lhs, Rhs, Options >, internal::sub_assign_op< Scalar, Scalar >, Dense2Dense, typename enable_if<(Options==DefaultProduct||Options==AliasFreeProduct)>::type >
struct	Assignment< DstXprType, Solve< CwiseUnaryOp< internal::scalar_conjugate_op< typename DecType::Scalar >, const Transpose< const DecType > >, RhsType >, internal::assign_op< Scalar, Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Solve< DecType, RhsType >, internal::assign_op< Scalar, Scalar >, Dense2Dense >
struct	Assignment< DstXprType, Solve< DecType, RhsType >, internal::assign_op< Scalar, Scalar >, Sparse2Sparse >
struct	Assignment< DstXprType, Solve< Transpose< const DecType >, RhsType >, internal::assign_op< Scalar, Scalar >, Dense2Dense >
struct	Assignment< DstXprType, SolveWithGuess< DecType, RhsType, GuessType >, internal::assign_op< Scalar, Scalar >, Dense2Dense >
struct	Assignment< DstXprType, SparseQRMatrixQReturnType< SparseQRType >, internal::assign_op< typename DstXprType::Scalar, typename DstXprType::Scalar >, Sparse2Dense >
struct	Assignment< DstXprType, SparseQRMatrixQReturnType< SparseQRType >, internal::assign_op< typename DstXprType::Scalar, typename DstXprType::Scalar >, Sparse2Sparse >
struct	Assignment< DstXprType, SparseSymmetricPermutationProduct< MatrixType, Mode >, internal::assign_op< Scalar, typename MatrixType::Scalar >, Sparse2Sparse >
struct	Assignment< DstXprType, SrcXprType, Functor, Dense2Dense, Weak >
struct	Assignment< DstXprType, SrcXprType, Functor, Dense2Triangular >
struct	Assignment< DstXprType, SrcXprType, Functor, Diagonal2Dense >
struct	Assignment< DstXprType, SrcXprType, Functor, Diagonal2Sparse >
struct	Assignment< DstXprType, SrcXprType, Functor, EigenBase2EigenBase, Weak >
struct	Assignment< DstXprType, SrcXprType, Functor, Sparse2Dense >
struct	Assignment< DstXprType, SrcXprType, Functor, Sparse2Sparse >
struct	Assignment< DstXprType, SrcXprType, Functor, SparseSelfAdjoint2Sparse >
struct	Assignment< DstXprType, SrcXprType, Functor, Triangular2Dense >
struct	Assignment< DstXprType, SrcXprType, Functor, Triangular2Triangular >
struct	assignment_from_xpr_op_product
struct	AssignmentKind
struct	AssignmentKind< DenseShape, BandShape >
struct	AssignmentKind< DenseShape, DenseShape >
struct	AssignmentKind< DenseShape, DiagonalShape >
struct	AssignmentKind< DenseShape, HomogeneousShape >
struct	AssignmentKind< DenseShape, PermutationShape >
struct	AssignmentKind< DenseShape, SparseShape >
struct	AssignmentKind< DenseShape, SparseTriangularShape >
struct	AssignmentKind< DenseShape, TriangularShape >
struct	AssignmentKind< SparseSelfAdjointShape, SparseShape >
struct	AssignmentKind< SparseShape, DiagonalShape >
struct	AssignmentKind< SparseShape, SparseSelfAdjointShape >
struct	AssignmentKind< SparseShape, SparseShape >
struct	AssignmentKind< SparseShape, SparseTriangularShape >
struct	AssignmentKind< TriangularShape, DenseShape >
struct	AssignmentKind< TriangularShape, TriangularShape >
struct	auto_diff_special_op
struct	auto_diff_special_op< _DerType, false >
struct	auto_diff_special_op< _DerType, true >
struct	band_solve_triangular_selector
struct	band_solve_triangular_selector< Index, Mode, LhsScalar, ConjLhs, RhsScalar, ColMajor >
struct	band_solve_triangular_selector< Index, Mode, LhsScalar, ConjLhs, RhsScalar, RowMajor >
class	BandMatrix
	Represents a rectangular matrix with a banded storage. More...
class	BandMatrixBase
class	BandMatrixWrapper
struct	BandShape
class	BaseTensorContractionMapper
class	BaseTensorContractionMapper< Scalar, Index, side, Tensor, nocontract_t, contract_t, 1, inner_dim_contiguous, inner_dim_reordered, Alignment >
struct	betainc_impl
struct	betainc_retval
struct	binary_evaluator
struct	binary_evaluator< CwiseBinaryOp< BinaryOp, Lhs, Rhs >, IndexBased, IndexBased >
struct	binary_evaluator< CwiseBinaryOp< BinaryOp, Lhs, Rhs >, IndexBased, IteratorBased >
struct	binary_evaluator< CwiseBinaryOp< BinaryOp, Lhs, Rhs >, IteratorBased, IndexBased >
struct	binary_evaluator< CwiseBinaryOp< BinaryOp, Lhs, Rhs >, IteratorBased, IteratorBased >
struct	binary_evaluator< CwiseBinaryOp< scalar_boolean_and_op, Lhs, Rhs >, IndexBased, IteratorBased >
struct	binary_evaluator< CwiseBinaryOp< scalar_boolean_and_op, Lhs, Rhs >, IteratorBased, IndexBased >
struct	binary_evaluator< CwiseBinaryOp< scalar_boolean_and_op, Lhs, Rhs >, IteratorBased, IteratorBased >
struct	binary_evaluator< CwiseBinaryOp< scalar_product_op< T1, T2 >, Lhs, Rhs >, IndexBased, IteratorBased >
struct	binary_evaluator< CwiseBinaryOp< scalar_product_op< T1, T2 >, Lhs, Rhs >, IteratorBased, IndexBased >
struct	binary_evaluator< CwiseBinaryOp< scalar_product_op< T1, T2 >, Lhs, Rhs >, IteratorBased, IteratorBased >
struct	binary_op_base
struct	binary_result_of_select
struct	binary_result_of_select< Func, ArgType0, ArgType1, sizeof(has_std_result_type)>
struct	binary_result_of_select< Func, ArgType0, ArgType1, sizeof(has_tr1_result)>
struct	binary_sparse_evaluator
struct	bind1st_op
struct	bind2nd_op
class	blas_data_mapper
struct	blas_traits
struct	blas_traits< const T >
struct	blas_traits< CwiseBinaryOp< scalar_product_op< Scalar >, const CwiseNullaryOp< scalar_constant_op< Scalar >, Plain >, NestedXpr > >
struct	blas_traits< CwiseBinaryOp< scalar_product_op< Scalar >, const CwiseNullaryOp< scalar_constant_op< Scalar >, Plain1 >, const CwiseNullaryOp< scalar_constant_op< Scalar >, Plain2 > > >
struct	blas_traits< CwiseBinaryOp< scalar_product_op< Scalar >, NestedXpr, const CwiseNullaryOp< scalar_constant_op< Scalar >, Plain > > >
struct	blas_traits< CwiseUnaryOp< scalar_conjugate_op< Scalar >, NestedXpr > >
struct	blas_traits< CwiseUnaryOp< scalar_opposite_op< Scalar >, NestedXpr > >
struct	blas_traits< Transpose< NestedXpr > >
class	BlasLinearMapper
class	BlasVectorMapper
struct	block_evaluator
struct	block_evaluator< ArgType, BlockRows, BlockCols, InnerPanel, false >
struct	block_evaluator< ArgType, BlockRows, BlockCols, InnerPanel, true >
class	BlockImpl_dense
class	BlockImpl_dense< XprType, BlockRows, BlockCols, InnerPanel, true >
struct	CacheSizes
struct	cast_impl< Real, NewType >
struct	cast_impl< Real, std::complex< Real > >
struct	cast_return_type
struct	cephes_helper
struct	cephes_helper< double >
struct	cephes_helper< float >
struct	check_rows_cols_for_overflow
struct	check_rows_cols_for_overflow< Dynamic >
struct	check_transpose_aliasing_compile_time_selector
struct	check_transpose_aliasing_compile_time_selector< DestIsTransposed, CwiseBinaryOp< BinOp, DerivedA, DerivedB > >
struct	check_transpose_aliasing_run_time_selector
struct	check_transpose_aliasing_run_time_selector< Scalar, DestIsTransposed, CwiseBinaryOp< BinOp, DerivedA, DerivedB > >
struct	checkTransposeAliasing_impl
struct	checkTransposeAliasing_impl< Derived, OtherDerived, false >
struct	cholmod_configure_matrix
struct	cholmod_configure_matrix< double >
struct	cholmod_configure_matrix< std::complex< double > >
struct	coeff_visitor
struct	CoeffLoader
struct	CoeffLoader< Tensor, true >
struct	colamd_col
struct	Colamd_Row
struct	column_dfs_traits
class	companion
struct	complex_schur_reduce_to_hessenberg
struct	complex_schur_reduce_to_hessenberg< MatrixType, false >
class	CompressedStorage
struct	compute_default_alignment
struct	compute_default_alignment< T, Dynamic >
struct	compute_default_alignment_helper
struct	compute_inverse
struct	compute_inverse< MatrixType, ResultType, 1 >
struct	compute_inverse< MatrixType, ResultType, 2 >
struct	compute_inverse< MatrixType, ResultType, 3 >
struct	compute_inverse< MatrixType, ResultType, 4 >
struct	compute_inverse_and_det_with_check
struct	compute_inverse_and_det_with_check< MatrixType, ResultType, 1 >
struct	compute_inverse_and_det_with_check< MatrixType, ResultType, 2 >
struct	compute_inverse_and_det_with_check< MatrixType, ResultType, 3 >
struct	compute_inverse_and_det_with_check< MatrixType, ResultType, 4 >
struct	compute_inverse_size4
struct	compute_inverse_size4< Architecture::SSE, double, MatrixType, ResultType >
struct	compute_inverse_size4< Architecture::SSE, float, MatrixType, ResultType >
class	compute_matrix_flags
class	compute_tensor_flags
struct	conditional
struct	conditional< false, Then, Else >
struct	conj_expr_if
struct	conj_helper
struct	conj_helper< Packet1cd, Packet1cd, false, true >
struct	conj_helper< Packet1cd, Packet1cd, true, false >
struct	conj_helper< Packet1cd, Packet1cd, true, true >
struct	conj_helper< Packet1cd, Packet2d, false, false >
struct	conj_helper< Packet2cd, Packet2cd, false, true >
struct	conj_helper< Packet2cd, Packet2cd, true, false >
struct	conj_helper< Packet2cd, Packet2cd, true, true >
struct	conj_helper< Packet2cd, Packet4d, false, false >
struct	conj_helper< Packet2cf, Packet2cf, false, true >
struct	conj_helper< Packet2cf, Packet2cf, true, false >
struct	conj_helper< Packet2cf, Packet2cf, true, true >
struct	conj_helper< Packet2cf, Packet4f, false, false >
struct	conj_helper< Packet2d, Packet1cd, false, false >
struct	conj_helper< Packet4cf, Packet4cf, false, true >
struct	conj_helper< Packet4cf, Packet4cf, true, false >
struct	conj_helper< Packet4cf, Packet4cf, true, true >
struct	conj_helper< Packet4cf, Packet8f, false, false >
struct	conj_helper< Packet4d, Packet2cd, false, false >
struct	conj_helper< Packet4f, Packet2cf, false, false >
struct	conj_helper< Packet8f, Packet4cf, false, false >
struct	conj_helper< RealScalar, std::complex< RealScalar >, false, Conj >
struct	conj_helper< Scalar, Scalar, false, false >
struct	conj_helper< std::complex< RealScalar >, RealScalar, Conj, false >
struct	conj_helper< std::complex< RealScalar >, std::complex< RealScalar >, false, true >
struct	conj_helper< std::complex< RealScalar >, std::complex< RealScalar >, true, false >
struct	conj_helper< std::complex< RealScalar >, std::complex< RealScalar >, true, true >
struct	conj_if
struct	conj_if< false >
struct	conj_if< true >
struct	conservative_resize_like_impl
struct	conservative_resize_like_impl< Derived, OtherDerived, true >
struct	conservative_sparse_sparse_product_selector
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, ColMajor, ColMajor, ColMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, ColMajor, ColMajor, RowMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, ColMajor, RowMajor, ColMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, ColMajor, RowMajor, RowMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, RowMajor, ColMajor, ColMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, RowMajor, ColMajor, RowMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, RowMajor, RowMajor, ColMajor >
struct	conservative_sparse_sparse_product_selector< Lhs, Rhs, ResultType, RowMajor, RowMajor, RowMajor >
class	const_blas_data_mapper
struct	constructor_without_unaligned_array_assert
struct	copy_using_evaluator_DefaultTraversal_CompleteUnrolling
struct	copy_using_evaluator_DefaultTraversal_CompleteUnrolling< Kernel, Stop, Stop >
struct	copy_using_evaluator_DefaultTraversal_InnerUnrolling
struct	copy_using_evaluator_DefaultTraversal_InnerUnrolling< Kernel, Stop, Stop >
struct	copy_using_evaluator_innervec_CompleteUnrolling
struct	copy_using_evaluator_innervec_CompleteUnrolling< Kernel, Stop, Stop >
struct	copy_using_evaluator_innervec_InnerUnrolling
struct	copy_using_evaluator_innervec_InnerUnrolling< Kernel, Stop, Stop, SrcAlignment, DstAlignment >
struct	copy_using_evaluator_LinearTraversal_CompleteUnrolling
struct	copy_using_evaluator_LinearTraversal_CompleteUnrolling< Kernel, Stop, Stop >
struct	copy_using_evaluator_traits
struct	cross3_impl
struct	cross3_impl< Architecture::SSE, VectorLhs, VectorRhs, float, true >
struct	cwise_promote_storage_type
struct	cwise_promote_storage_type< A, A, Functor >
struct	cwise_promote_storage_type< A, Dense, Functor >
struct	cwise_promote_storage_type< Dense, B, Functor >
struct	cwise_promote_storage_type< Dense, Dense, Functor >
struct	cwise_promote_storage_type< Dense, Sparse, Functor >
struct	cwise_promote_storage_type< Sparse, Dense, Functor >
struct	decrement_if_fixed_size
struct	decrement_size
struct	default_digits10_impl
struct	default_digits10_impl< T, false, false >
struct	default_digits10_impl< T, false, true >
struct	default_packet_traits
struct	Dense2Dense
struct	Dense2Triangular
struct	dense_assignment_loop
struct	dense_assignment_loop< Kernel, DefaultTraversal, CompleteUnrolling >
struct	dense_assignment_loop< Kernel, DefaultTraversal, InnerUnrolling >
struct	dense_assignment_loop< Kernel, DefaultTraversal, NoUnrolling >
struct	dense_assignment_loop< Kernel, InnerVectorizedTraversal, CompleteUnrolling >
struct	dense_assignment_loop< Kernel, InnerVectorizedTraversal, InnerUnrolling >
struct	dense_assignment_loop< Kernel, InnerVectorizedTraversal, NoUnrolling >
struct	dense_assignment_loop< Kernel, LinearTraversal, CompleteUnrolling >
struct	dense_assignment_loop< Kernel, LinearTraversal, NoUnrolling >
struct	dense_assignment_loop< Kernel, LinearVectorizedTraversal, CompleteUnrolling >
struct	dense_assignment_loop< Kernel, LinearVectorizedTraversal, NoUnrolling >
struct	dense_assignment_loop< Kernel, SliceVectorizedTraversal, NoUnrolling >
class	dense_product_base
class	dense_product_base< Lhs, Rhs, Option, InnerProduct >
	Convertion to scalar for inner-products. More...
struct	dense_xpr_base
struct	dense_xpr_base< Derived, ArrayXpr >
struct	dense_xpr_base< Derived, MatrixXpr >
struct	determinant_impl
struct	determinant_impl< Derived, 1 >
struct	determinant_impl< Derived, 2 >
struct	determinant_impl< Derived, 3 >
struct	determinant_impl< Derived, 4 >
struct	dget
struct	Diagonal2Dense
struct	Diagonal2Sparse
struct	diagonal_product_evaluator_base
struct	digamma_impl
struct	digamma_impl_maybe_poly
struct	digamma_impl_maybe_poly< double >
struct	digamma_impl_maybe_poly< float >
struct	digamma_retval
struct	DimensionId
struct	DimensionId< Dynamic >
struct	DimInitializer
struct	DimInitializer< Sizes<> >
struct	direct_selfadjoint_eigenvalues
struct	direct_selfadjoint_eigenvalues< SolverType, 2, false >
struct	direct_selfadjoint_eigenvalues< SolverType, 3, false >
struct	div_assign_op
struct	dot_nocheck
struct	dot_nocheck< T, U, true >
struct	DoublePacket
struct	EigenBase2EigenBase
struct	eigenvalues_selector
struct	eigenvalues_selector< Derived, false >
struct	empty_list
struct	enable_if
struct	enable_if< true, T >
struct	enable_if_ref
struct	enable_if_ref< Ref< T >, Derived >
struct	EnableIf
struct	equal_op
struct	erf_impl
struct	erf_retval
struct	erfc_impl
struct	erfc_retval
struct	etor_product_coeff_impl
struct	etor_product_packet_impl
struct	etor_product_packet_impl< ColMajor, 0, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< ColMajor, 1, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< ColMajor, Dynamic, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< ColMajor, UnrollingIndex, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< RowMajor, 0, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< RowMajor, 1, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< RowMajor, Dynamic, Lhs, Rhs, Packet, LoadMode >
struct	etor_product_packet_impl< RowMajor, UnrollingIndex, Lhs, Rhs, Packet, LoadMode >
struct	eval
struct	eval< Array< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Dense >
struct	eval< const Tensor< _Scalar, NumIndices_, Options, IndexType_ >, Eigen::Dense >
struct	eval< const TensorFixedSize< Scalar_, Dimensions, Options, IndexType_ >, Eigen::Dense >
struct	eval< const TensorMap< PlainObjectType, Options, MakePointer >, Eigen::Dense >
struct	eval< const TensorRef< PlainObjectType >, Eigen::Dense >
struct	eval< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Dense >
struct	eval< T, Dense >
struct	eval< T, DiagonalShape >
class	eval< T, IsSkyline >
struct	eval< T, Sparse >
struct	eval< Tensor< _Scalar, NumIndices_, Options, IndexType_ >, Eigen::Dense >
struct	eval< TensorAssignOp< LhsXprType, RhsXprType >, Eigen::Dense >
struct	eval< TensorBroadcastingOp< Broadcast, XprType >, Eigen::Dense >
struct	eval< TensorChippingOp< DimId, XprType >, Eigen::Dense >
struct	eval< TensorConcatenationOp< Axis, LhsXprType, RhsXprType >, Eigen::Dense >
struct	eval< TensorContractionOp< Dimensions, LhsXprType, RhsXprType >, Eigen::Dense >
struct	eval< TensorConversionOp< TargetType, XprType >, Eigen::Dense >
struct	eval< TensorConvolutionOp< Dimensions, InputXprType, KernelXprType >, Eigen::Dense >
struct	eval< TensorCustomBinaryOp< CustomBinaryFunc, LhsXprType, RhsXprType >, Eigen::Dense >
struct	eval< TensorCustomUnaryOp< CustomUnaryFunc, XprType >, Eigen::Dense >
struct	eval< TensorCwiseBinaryOp< BinaryOp, LhsXprType, RhsXprType >, Eigen::Dense >
struct	eval< TensorCwiseTernaryOp< TernaryOp, Arg1XprType, Arg2XprType, Arg3XprType >, Eigen::Dense >
struct	eval< TensorCwiseUnaryOp< UnaryOp, XprType >, Eigen::Dense >
struct	eval< TensorEvalToOp< XprType, MakePointer_ >, Eigen::Dense >
struct	eval< TensorFixedSize< Scalar_, Dimensions, Options, IndexType_ >, Eigen::Dense >
struct	eval< TensorForcedEvalOp< XprType, MakePointer_ >, Eigen::Dense >
struct	eval< TensorGeneratorOp< Generator, XprType >, Eigen::Dense >
struct	eval< TensorImagePatchOp< Rows, Cols, XprType >, Eigen::Dense >
struct	eval< TensorIndexTupleOp< XprType >, Eigen::Dense >
struct	eval< TensorInflationOp< Strides, XprType >, Eigen::Dense >
struct	eval< TensorLayoutSwapOp< XprType >, Eigen::Dense >
struct	eval< TensorMap< PlainObjectType, Options, MakePointer >, Eigen::Dense >
struct	eval< TensorPaddingOp< PaddingDimensions, XprType >, Eigen::Dense >
struct	eval< TensorPatchOp< PatchDim, XprType >, Eigen::Dense >
struct	eval< TensorReductionOp< Op, Dims, XprType, MakePointer_ >, Eigen::Dense >
struct	eval< TensorRef< PlainObjectType >, Eigen::Dense >
struct	eval< TensorReshapingOp< NewDimensions, XprType >, Eigen::Dense >
struct	eval< TensorReverseOp< ReverseDimensions, XprType >, Eigen::Dense >
struct	eval< TensorScanOp< Op, XprType >, Eigen::Dense >
struct	eval< TensorSelectOp< IfXprType, ThenXprType, ElseXprType >, Eigen::Dense >
struct	eval< TensorShufflingOp< Shuffle, XprType >, Eigen::Dense >
struct	eval< TensorSlicingOp< StartIndices, Sizes, XprType >, Eigen::Dense >
struct	eval< TensorStridingOp< Strides, XprType >, Eigen::Dense >
struct	eval< TensorStridingSlicingOp< StartIndices, StopIndices, Strides, XprType >, Eigen::Dense >
struct	eval< TensorTupleReducerOp< ReduceOp, Dims, XprType >, Eigen::Dense >
struct	eval< TensorVolumePatchOp< Planes, Rows, Cols, XprType >, Eigen::Dense >
class	EvalToTemp
struct	evaluator
struct	evaluator< Array< Scalar, Rows, Cols, Options, MaxRows, MaxCols > >
struct	evaluator< Block< ArgType, BlockRows, BlockCols, InnerPanel > >
struct	evaluator< const T >
struct	evaluator< CwiseBinaryOp< BinaryOp, Lhs, Rhs > >
struct	evaluator< CwiseBinaryOp< internal::scalar_product_op< Scalar1, Scalar2 >, const CwiseNullaryOp< internal::scalar_constant_op< Scalar1 >, Plain1 >, const Product< Lhs, Rhs, DefaultProduct > > >
struct	evaluator< CwiseNullaryOp< NullaryOp, PlainObjectType > >
struct	evaluator< CwiseTernaryOp< TernaryOp, Arg1, Arg2, Arg3 > >
struct	evaluator< Diagonal< ArgType, DiagIndex > >
struct	evaluator< Diagonal< const Product< Lhs, Rhs, DefaultProduct >, DiagIndex > >
struct	evaluator< DynamicSparseMatrix< _Scalar, _Options, _StorageIndex > >
struct	evaluator< EvalToTemp< ArgType > >
struct	evaluator< Map< const SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	evaluator< Map< PlainObjectType, MapOptions, StrideType > >
struct	evaluator< Map< SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	evaluator< MappedSparseMatrix< _Scalar, _Options, _StorageIndex > >
struct	evaluator< Matrix< Scalar, Rows, Cols, Options, MaxRows, MaxCols > >
struct	evaluator< PartialReduxExpr< ArgType, MemberOp, Direction > >
struct	evaluator< PlainObjectBase< Derived > >
struct	evaluator< Product< Lhs, Rhs, Options > >
struct	evaluator< Ref< const SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	evaluator< Ref< const SparseVector< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	evaluator< Ref< PlainObjectType, RefOptions, StrideType > >
struct	evaluator< Ref< SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	evaluator< Ref< SparseVector< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	evaluator< ReturnByValue< Derived > >
struct	evaluator< Select< ConditionMatrixType, ThenMatrixType, ElseMatrixType > >
struct	evaluator< Solve< Decomposition, RhsType > >
struct	evaluator< SolveWithGuess< Decomposition, RhsType, GuessType > >
struct	evaluator< SparseCompressedBase< Derived > >
struct	evaluator< SparseMatrix< _Scalar, _Options, _Index > >
struct	evaluator< SparseVector< _Scalar, _Options, _Index > >
struct	evaluator_assume_aliasing
struct	evaluator_assume_aliasing< CwiseBinaryOp< internal::scalar_product_op< Scalar1, Scalar2 >, const CwiseNullaryOp< internal::scalar_constant_op< Scalar1 >, Plain1 >, const Product< Lhs, Rhs, DefaultProduct > > >
struct	evaluator_assume_aliasing< CwiseBinaryOp< internal::scalar_sum_op< typename OtherXpr::Scalar, typename Product< Lhs, Rhs, DefaultProduct >::Scalar >, const OtherXpr, const Product< Lhs, Rhs, DefaultProduct > >, DenseShape >
struct	evaluator_assume_aliasing< Product< Lhs, Rhs, DefaultProduct > >
struct	evaluator_base
struct	evaluator_traits
struct	evaluator_traits< BandMatrix< _Scalar, _Rows, _Cols, _Supers, _Subs, _Options > >
struct	evaluator_traits< BandMatrixWrapper< _CoefficientsType, _Rows, _Cols, _Supers, _Subs, _Options > >
struct	evaluator_traits< Homogeneous< ArgType, Direction > >
struct	evaluator_traits< HouseholderSequence< VectorsType, CoeffsType, Side > >
struct	evaluator_traits< SelfAdjointView< MatrixType, Mode > >
struct	evaluator_traits< SparseQRMatrixQReturnType< SparseQRType > >
struct	evaluator_traits< SparseSelfAdjointView< MatrixType, Mode > >
struct	evaluator_traits< TriangularView< MatrixType, Mode > >
struct	evaluator_traits_base
struct	evaluator_wrapper_base
struct	extract_data_selector
struct	extract_data_selector< T, false >
struct	false_type
struct	fftw_impl
struct	fftw_plan
struct	fftw_plan< double >
struct	fftw_plan< float >
struct	fftw_plan< long double >
struct	find_best_packet
struct	find_best_packet_helper
struct	find_best_packet_helper< Size, PacketType, false >
struct	find_best_packet_helper< Size, PacketType, true >
struct	first_aligned_impl
struct	first_aligned_impl< Alignment, Derived, false >
struct	fixed_size_tensor_index_extraction_helper
struct	fixed_size_tensor_index_extraction_helper< Index, 0 >
struct	fixed_size_tensor_index_linearization_helper
struct	fixed_size_tensor_index_linearization_helper< Index, NumIndices, 0, RowMajor >
struct	FullPivHouseholderQRMatrixQReturnType
	Expression type for return value of FullPivHouseholderQR::matrixQ() More...
struct	FullReducer
struct	FullReducer< Self, Op, const Eigen::SyclDevice, Vectorizable >
	For now let's start with a full reducer Self is useless here because in expression construction we are going to treat reduction as a leafnode. More...
struct	functor_has_linear_access
struct	functor_traits
struct	functor_traits< add_assign_op< DstScalar, SrcScalar > >
struct	functor_traits< assign_op< DstScalar, SrcScalar > >
struct	functor_traits< bind1st_op< BinaryOp > >
struct	functor_traits< bind2nd_op< BinaryOp > >
struct	functor_traits< div_assign_op< DstScalar, SrcScalar > >
struct	functor_traits< GaussianGenerator< T, Index, NumDims > >
struct	functor_traits< linspaced_op< Scalar, PacketType > >
struct	functor_traits< max_coeff_visitor< Scalar > >
struct	functor_traits< min_coeff_visitor< Scalar > >
struct	functor_traits< mul_assign_op< DstScalar, SrcScalar > >
struct	functor_traits< NormalRandomGenerator< Scalar > >
struct	functor_traits< scalar_abs2_op< Scalar > >
struct	functor_traits< scalar_abs_op< Scalar > >
struct	functor_traits< scalar_acos_op< Scalar > >
struct	functor_traits< scalar_arg_op< Scalar > >
struct	functor_traits< scalar_asin_op< Scalar > >
struct	functor_traits< scalar_atan_op< Scalar > >
struct	functor_traits< scalar_betainc_op< Scalar > >
struct	functor_traits< scalar_boolean_and_op >
struct	functor_traits< scalar_boolean_not_op< Scalar > >
struct	functor_traits< scalar_boolean_or_op >
struct	functor_traits< scalar_boolean_xor_op >
struct	functor_traits< scalar_cast_op< Eigen::half, float > >
struct	functor_traits< scalar_cast_op< float, Eigen::half > >
struct	functor_traits< scalar_cast_op< int, Eigen::half > >
struct	functor_traits< scalar_cast_op< Scalar, NewType > >
struct	functor_traits< scalar_ceil_op< Scalar > >
struct	functor_traits< scalar_cmp_op< LhsScalar, RhsScalar, cmp > >
struct	functor_traits< scalar_conj_product_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_conjugate_op< Scalar > >
struct	functor_traits< scalar_constant_op< Scalar > >
struct	functor_traits< scalar_cos_op< Scalar > >
struct	functor_traits< scalar_cosh_op< Scalar > >
struct	functor_traits< scalar_cube_op< Scalar > >
struct	functor_traits< scalar_difference_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_digamma_op< Scalar > >
struct	functor_traits< scalar_erf_op< Scalar > >
struct	functor_traits< scalar_erfc_op< Scalar > >
struct	functor_traits< scalar_exp_op< Scalar > >
struct	functor_traits< scalar_floor_op< Scalar > >
struct	functor_traits< scalar_fmod_op< Scalar > >
struct	functor_traits< scalar_hypot_op< Scalar, Scalar > >
struct	functor_traits< scalar_identity_op< Scalar > >
struct	functor_traits< scalar_igamma_op< Scalar > >
struct	functor_traits< scalar_igammac_op< Scalar > >
struct	functor_traits< scalar_imag_op< Scalar > >
struct	functor_traits< scalar_imag_ref_op< Scalar > >
struct	functor_traits< scalar_inverse_op< Scalar > >
struct	functor_traits< scalar_isfinite_op< Scalar > >
struct	functor_traits< scalar_isinf_op< Scalar > >
struct	functor_traits< scalar_isnan_op< Scalar > >
struct	functor_traits< scalar_lgamma_op< Scalar > >
struct	functor_traits< scalar_log10_op< Scalar > >
struct	functor_traits< scalar_log1p_op< Scalar > >
struct	functor_traits< scalar_log_op< Scalar > >
struct	functor_traits< scalar_max_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_min_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_mod2_op< Scalar > >
struct	functor_traits< scalar_mod_op< Scalar > >
struct	functor_traits< scalar_norm1_op >
struct	functor_traits< scalar_opposite_op< Scalar > >
struct	functor_traits< scalar_polygamma_op< Scalar > >
struct	functor_traits< scalar_pow_op< Scalar, Exponent > >
struct	functor_traits< scalar_product_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_quotient_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_random_op< Scalar > >
struct	functor_traits< scalar_real_op< Scalar > >
struct	functor_traits< scalar_real_ref_op< Scalar > >
struct	functor_traits< scalar_round_op< Scalar > >
struct	functor_traits< scalar_rsqrt_op< Scalar > >
struct	functor_traits< scalar_score_coeff_op< Scalar > >
struct	functor_traits< scalar_sigmoid_op< T > >
struct	functor_traits< scalar_sign_op< Scalar > >
struct	functor_traits< scalar_sin_op< Scalar > >
struct	functor_traits< scalar_sinh_op< Scalar > >
struct	functor_traits< scalar_sqrt_op< Scalar > >
struct	functor_traits< scalar_square_op< Scalar > >
struct	functor_traits< scalar_sum_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_tan_op< Scalar > >
struct	functor_traits< scalar_tanh_op< Scalar > >
struct	functor_traits< scalar_zeta_op< Scalar > >
struct	functor_traits< std::binary_negate< T > >
struct	functor_traits< std::binder1st< T > >
struct	functor_traits< std::binder2nd< T > >
struct	functor_traits< std::divides< T > >
struct	functor_traits< std::equal_to< T > >
struct	functor_traits< std::greater< T > >
struct	functor_traits< std::greater_equal< T > >
struct	functor_traits< std::less< T > >
struct	functor_traits< std::less_equal< T > >
struct	functor_traits< std::logical_and< T > >
struct	functor_traits< std::logical_not< T > >
struct	functor_traits< std::logical_or< T > >
struct	functor_traits< std::minus< T > >
struct	functor_traits< std::multiplies< T > >
struct	functor_traits< std::negate< T > >
struct	functor_traits< std::not_equal_to< T > >
struct	functor_traits< std::plus< T > >
struct	functor_traits< std::unary_negate< T > >
struct	functor_traits< sub_assign_op< DstScalar, SrcScalar > >
struct	functor_traits< swap_assign_op< Scalar > >
struct	functor_traits< UniformRandomGenerator< Scalar > >
class	GaussianGenerator
struct	gebp_kernel
struct	gebp_madd_selector
struct	gebp_madd_selector< CJ, T, T, T, T >
class	gebp_traits
class	gebp_traits< RealScalar, std::complex< RealScalar >, false, _ConjRhs >
class	gebp_traits< std::complex< RealScalar >, RealScalar, _ConjLhs, false >
class	gebp_traits< std::complex< RealScalar >, std::complex< RealScalar >, _ConjLhs, _ConjRhs >
class	gemm_blocking_space
class	gemm_blocking_space< StorageOrder, _LhsScalar, _RhsScalar, MaxRows, MaxCols, MaxDepth, KcFactor, false >
class	gemm_blocking_space< StorageOrder, _LhsScalar, _RhsScalar, MaxRows, MaxCols, MaxDepth, KcFactor, true >
struct	gemm_functor
struct	gemm_pack_lhs
struct	gemm_pack_lhs< Scalar, Index, DataMapper, Pack1, Pack2, ColMajor, Conjugate, PanelMode >
struct	gemm_pack_lhs< Scalar, Index, DataMapper, Pack1, Pack2, RowMajor, Conjugate, PanelMode >
struct	gemm_pack_rhs
struct	gemm_pack_rhs< Scalar, Index, DataMapper, nr, ColMajor, Conjugate, PanelMode >
struct	gemm_pack_rhs< Scalar, Index, DataMapper, nr, RowMajor, Conjugate, PanelMode >
struct	GemmParallelInfo
struct	gemv_dense_selector
struct	gemv_dense_selector< OnTheLeft, StorageOrder, BlasCompatible >
struct	gemv_dense_selector< OnTheRight, ColMajor, false >
struct	gemv_dense_selector< OnTheRight, ColMajor, true >
struct	gemv_dense_selector< OnTheRight, RowMajor, false >
struct	gemv_dense_selector< OnTheRight, RowMajor, true >
struct	gemv_static_vector_if
struct	gemv_static_vector_if< Scalar, Size, Dynamic, true >
struct	gemv_static_vector_if< Scalar, Size, MaxSize, false >
struct	gemv_static_vector_if< Scalar, Size, MaxSize, true >
struct	gen_numeric_list_repeated
struct	gen_numeric_list_repeated< T, 1, V >
struct	gen_numeric_list_repeated< T, 2, V >
struct	gen_numeric_list_repeated< T, 3, V >
struct	gen_numeric_list_repeated< T, 4, V >
struct	gen_numeric_list_repeated< T, 5, V >
struct	gen_numeric_list_repeated< T, 6, V >
struct	gen_numeric_list_repeated< T, 7, V >
struct	gen_numeric_list_repeated< T, 8, V >
struct	general_matrix_matrix_product
struct	general_matrix_matrix_product< Index, LhsScalar, LhsStorageOrder, ConjugateLhs, RhsScalar, RhsStorageOrder, ConjugateRhs, ColMajor >
struct	general_matrix_matrix_product< Index, LhsScalar, LhsStorageOrder, ConjugateLhs, RhsScalar, RhsStorageOrder, ConjugateRhs, RowMajor >
struct	general_matrix_matrix_rankupdate
struct	general_matrix_matrix_triangular_product
struct	general_matrix_matrix_triangular_product< Index, LhsScalar, LhsStorageOrder, ConjugateLhs, RhsScalar, RhsStorageOrder, ConjugateRhs, ColMajor, UpLo, Version >
struct	general_matrix_matrix_triangular_product< Index, LhsScalar, LhsStorageOrder, ConjugateLhs, RhsScalar, RhsStorageOrder, ConjugateRhs, RowMajor, UpLo, Version >
struct	general_matrix_vector_product
struct	general_matrix_vector_product< Index, LhsScalar, LhsMapper, ColMajor, ConjugateLhs, RhsScalar, RhsMapper, ConjugateRhs, Version >
struct	general_matrix_vector_product< Index, LhsScalar, LhsMapper, RowMajor, ConjugateLhs, RhsScalar, RhsMapper, ConjugateRhs, Version >
struct	general_matrix_vector_product_gemv
struct	general_rank1_update
struct	general_rank1_update< Scalar, Index, ColMajor, ConjLhs, ConjRhs >
struct	general_rank1_update< Scalar, Index, RowMajor, ConjLhs, ConjRhs >
class	generic_dense_assignment_kernel
class	generic_dense_assignment_kernel< DstEvaluatorTypeT, SrcEvaluatorTypeT, swap_assign_op< typename DstEvaluatorTypeT::Scalar >, Specialized >
class	generic_matrix_wrapper
class	generic_matrix_wrapper< MatrixType, false >
class	generic_matrix_wrapper< MatrixType, true >
struct	generic_product_impl
struct	generic_product_impl< Homogeneous< LhsArg, Horizontal >, Rhs, HomogeneousShape, DenseShape, ProductTag >
struct	generic_product_impl< Inverse< Lhs >, Rhs, PermutationShape, MatrixShape, ProductTag >
struct	generic_product_impl< Lhs, Homogeneous< RhsArg, Vertical >, DenseShape, HomogeneousShape, ProductTag >
struct	generic_product_impl< Lhs, Homogeneous< RhsArg, Vertical >, TriangularShape, HomogeneousShape, ProductTag >
struct	generic_product_impl< Lhs, Inverse< Rhs >, MatrixShape, PermutationShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, DenseShape, DenseShape, CoeffBasedProductMode >
struct	generic_product_impl< Lhs, Rhs, DenseShape, DenseShape, GemmProduct >
struct	generic_product_impl< Lhs, Rhs, DenseShape, DenseShape, GemvProduct >
struct	generic_product_impl< Lhs, Rhs, DenseShape, DenseShape, InnerProduct >
struct	generic_product_impl< Lhs, Rhs, DenseShape, DenseShape, LazyCoeffBasedProductMode >
struct	generic_product_impl< Lhs, Rhs, DenseShape, DenseShape, OuterProduct >
struct	generic_product_impl< Lhs, Rhs, DenseShape, SelfAdjointShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, DenseShape, SparseShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, DenseShape, SparseTriangularShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, DenseShape, TriangularShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, MatrixShape, PermutationShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, MatrixShape, TranspositionsShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, PermutationShape, MatrixShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, SelfAdjointShape, DenseShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, SparseShape, DenseShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, SparseShape, SparseShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, SparseShape, SparseTriangularShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, SparseTriangularShape, DenseShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, SparseTriangularShape, SparseShape, ProductType >
struct	generic_product_impl< Lhs, Rhs, TranspositionsShape, MatrixShape, ProductTag >
struct	generic_product_impl< Lhs, Rhs, TriangularShape, DenseShape, ProductTag >
struct	generic_product_impl< Lhs, RhsView, DenseShape, SparseSelfAdjointShape, ProductType >
struct	generic_product_impl< Lhs, Transpose< Rhs >, MatrixShape, TranspositionsShape, ProductTag >
struct	generic_product_impl< LhsView, Rhs, SparseSelfAdjointShape, DenseShape, ProductType >
struct	generic_product_impl< MatrixReplacement, Rhs, SparseShape, DenseShape, GemvProduct >
struct	generic_product_impl< Transform< Scalar, Dim, Mode, Options >, Homogeneous< RhsArg, Vertical >, DenseShape, HomogeneousShape, ProductTag >
struct	generic_product_impl< Transpose< Lhs >, Rhs, TranspositionsShape, MatrixShape, ProductTag >
struct	generic_product_impl_base
struct	generic_xpr_base
struct	generic_xpr_base< Derived, MatrixXpr, SolverStorage >
struct	generic_xpr_base< Derived, MatrixXpr, Sparse >
struct	generic_xpr_base< Derived, XprKind, Dense >
struct	GenericDimReducer
struct	GenericDimReducer< 0, Self, Op >
struct	GenericDimReducer<-1, Self, Op >
struct	get
struct	get< 0, type_list< Head, empty_list > >
struct	get< 0, type_list< Head, Tail > >
struct	get< i, empty_list >
struct	get< i, type_list< Head, empty_list > >
struct	get< i, type_list< Head, Tail > >
struct	get_boxes_helper
struct	get_boxes_helper< ObjectList, VolumeList, int >
struct	get_factor
struct	get_factor< Scalar, typename NumTraits< Scalar >::Real >
struct	get_type
struct	get_type< 0, type_list< Head, Tail > >
struct	get_type< i, type_list< Head, Tail > >
struct	glue_shapes
struct	glue_shapes< DenseShape, TriangularShape >
struct	glue_shapes< SparseShape, SelfAdjointShape >
struct	glue_shapes< SparseShape, TriangularShape >
struct	greater_equal_op
struct	greater_equal_zero_op
struct	greater_op
struct	has_binary_operator
struct	has_binary_operator< linspaced_op< Scalar, PacketType >, IndexType >
struct	has_binary_operator< scalar_constant_op< Scalar >, IndexType >
struct	has_binary_operator< scalar_identity_op< Scalar >, IndexType >
struct	has_binary_operator< scalar_random_op< Scalar >, IndexType >
struct	has_direct_access
struct	has_none
struct	has_nullary_operator
struct	has_nullary_operator< linspaced_op< Scalar, PacketType >, IndexType >
struct	has_nullary_operator< scalar_constant_op< Scalar >, IndexType >
struct	has_nullary_operator< scalar_identity_op< Scalar >, IndexType >
struct	has_nullary_operator< scalar_random_op< Scalar >, IndexType >
struct	has_ReturnType
struct	has_std_result_type
struct	has_tr1_result
struct	has_unary_operator
struct	has_unary_operator< linspaced_op< Scalar, PacketType >, IndexType >
struct	has_unary_operator< scalar_constant_op< Scalar >, IndexType >
struct	has_unary_operator< scalar_identity_op< Scalar >, IndexType >
struct	has_unary_operator< scalar_random_op< Scalar >, IndexType >
struct	HessenbergDecompositionMatrixHReturnType
struct	homogeneous_left_product_impl
struct	homogeneous_left_product_impl< Homogeneous< MatrixType, Vertical >, Lhs >
struct	homogeneous_left_product_refactoring_helper
struct	homogeneous_right_product_impl
struct	homogeneous_right_product_impl< Homogeneous< MatrixType, Horizontal >, Rhs >
struct	homogeneous_right_product_refactoring_helper
struct	householder_qr_inplace_blocked
struct	HouseholderSequenceShape
struct	hseq_side_dependent_impl
struct	hseq_side_dependent_impl< VectorsType, CoeffsType, OnTheRight >
struct	igamma_impl
struct	igamma_retval
struct	igammac_impl
struct	igammac_retval
struct	image_retval
struct	image_retval< FullPivLU< _MatrixType > >
class	image_retval_base
struct	increment_if_fixed_size
struct	index_known_statically_impl
struct	index_known_statically_impl< const DimensionList< Index, Rank > >
struct	index_known_statically_impl< DimensionList< Index, Rank > >
struct	index_pair_first_statically_eq_impl
struct	index_pair_second_statically_eq_impl
struct	index_statically_eq_impl
struct	index_statically_eq_impl< const DimensionList< Index, Rank > >
struct	index_statically_eq_impl< DimensionList< Index, Rank > >
struct	index_statically_gt_impl
struct	index_statically_gt_impl< const DimensionList< Index, Rank > >
struct	index_statically_gt_impl< DimensionList< Index, Rank > >
struct	index_statically_lt_impl
struct	index_statically_lt_impl< const DimensionList< Index, Rank > >
struct	index_statically_lt_impl< DimensionList< Index, Rank > >
struct	index_statically_ne_impl
struct	index_statically_ne_impl< const DimensionList< Index, Rank > >
struct	index_statically_ne_impl< DimensionList< Index, Rank > >
struct	IndexBased
class	IndexMapper
struct	indices_statically_known_to_increase_impl
struct	indices_statically_known_to_increase_impl< const DimensionList< Index, Rank > >
struct	indices_statically_known_to_increase_impl< DimensionList< Index, Rank > >
class	inner_iterator_selector
class	inner_iterator_selector< XprType, IndexBased >
class	inner_iterator_selector< XprType, IteratorBased >
struct	inner_stride_at_compile_time
struct	inner_stride_at_compile_time< Derived, false >
struct	InnerMostDimPreserver
struct	InnerMostDimPreserver< 0, Self, Op, true >
struct	InnerMostDimPreserver< DimIndex, Self, Op, true >
struct	InnerMostDimPreserver<-1, Self, Op, true >
struct	InnerMostDimReducer
struct	InnerMostDimReducer< Self, Op, true >
struct	InnerReducer
struct	InnerReducer< Self, Op, const Eigen::SyclDevice >
struct	inplace_transpose_selector
struct	inplace_transpose_selector< MatrixType, false, MatchPacketSize >
struct	inplace_transpose_selector< MatrixType, true, false >
struct	inplace_transpose_selector< MatrixType, true, true >
struct	intersector_helper1
struct	intersector_helper2
struct	inverse_impl
struct	is_arithmetic
struct	is_arithmetic< __m128 >
struct	is_arithmetic< __m128d >
struct	is_arithmetic< __m128i >
struct	is_arithmetic< __m256 >
struct	is_arithmetic< __m256d >
struct	is_arithmetic< __m256i >
struct	is_arithmetic< __m512 >
struct	is_arithmetic< __m512d >
struct	is_arithmetic< __m512i >
struct	is_arithmetic< bool >
struct	is_arithmetic< char >
struct	is_arithmetic< double >
struct	is_arithmetic< float >
struct	is_arithmetic< half >
struct	is_arithmetic< long double >
struct	is_arithmetic< signed char >
struct	is_arithmetic< signed int >
struct	is_arithmetic< signed long >
struct	is_arithmetic< signed short >
struct	is_arithmetic< unsigned char >
struct	is_arithmetic< unsigned int >
struct	is_arithmetic< unsigned long >
struct	is_arithmetic< unsigned short >
struct	is_const
struct	is_const< T const >
struct	is_convertible
struct	is_convertible_impl
struct	is_diagonal
struct	is_diagonal< DiagonalBase< T > >
struct	is_diagonal< DiagonalMatrix< T, S > >
struct	is_diagonal< DiagonalWrapper< T > >
struct	is_input_scalar
struct	is_input_scalar< Sizes< Indices... > >
struct	is_input_scalar< Sizes<> >
struct	is_integral
struct	is_integral< bool >
struct	is_integral< char >
struct	is_integral< signed char >
struct	is_integral< signed int >
struct	is_integral< signed long >
struct	is_integral< signed short >
struct	is_integral< unsigned char >
struct	is_integral< unsigned int >
struct	is_integral< unsigned long >
struct	is_integral< unsigned short >
struct	is_lvalue
struct	is_ref_compatible
struct	is_ref_compatible_impl
struct	is_same
struct	is_same< T, T >
struct	isApprox_selector
struct	isApprox_selector< Derived, OtherDerived, true >
struct	isMuchSmallerThan_object_selector
struct	isMuchSmallerThan_object_selector< Derived, OtherDerived, true >
struct	isMuchSmallerThan_scalar_selector
struct	isMuchSmallerThan_scalar_selector< Derived, true >
struct	IsValidAxis
struct	IsVectorizable
struct	IsVectorizable< GpuDevice, Expression >
struct	IteratorBased
struct	kernel_retval
struct	kernel_retval< FullPivLU< _MatrixType > >
class	kernel_retval_base
struct	kiss_cpx_fft
struct	kissfft_impl
struct	lapacke_llt
struct	ldlt_inplace
struct	ldlt_inplace< Lower >
struct	ldlt_inplace< Upper >
struct	LDLT_Traits
struct	LDLT_Traits< MatrixType, Lower >
struct	LDLT_Traits< MatrixType, Upper >
struct	lesser_equal_op
struct	lesser_op
class	level3_blocking
struct	lgamma_impl
struct	lgamma_retval
struct	linspaced_op
struct	linspaced_op_impl
struct	linspaced_op_impl< Scalar, Packet, false >
struct	linspaced_op_impl< Scalar, Packet, true >
struct	llt_inplace
struct	llt_inplace< Scalar, Lower >
struct	llt_inplace< Scalar, Upper >
struct	LLT_Traits
struct	LLT_Traits< MatrixType, Lower >
struct	LLT_Traits< MatrixType, Upper >
struct	logical_and_op
struct	logical_or_op
struct	lpNorm_selector
struct	lpNorm_selector< Derived, 1 >
struct	lpNorm_selector< Derived, 2 >
struct	lpNorm_selector< Derived, Infinity >
struct	LU_GlobalLU_t
struct	LU_kernel_bmod
struct	LU_kernel_bmod< 1 >
struct	make_coherent_impl
struct	make_coherent_impl< A, Matrix< B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols > >
struct	make_coherent_impl< Matrix< A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols >, B >
struct	make_coherent_impl< Matrix< A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols >, Matrix< B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols > >
class	make_proper_matrix_type
struct	make_type_list
struct	make_type_list<>
struct	mapbase_evaluator
class	MappedSuperNodalMatrix
	a class to manipulate the L supernodal factor from the SparseLU factorization More...
struct	matrix_exp_computeUV
	Compute the (17,17)-Padé approximant to the exponential. More...
struct	matrix_exp_computeUV< MatrixType, double >
struct	matrix_exp_computeUV< MatrixType, float >
struct	matrix_exp_computeUV< MatrixType, long double >
struct	matrix_function_compute
	Class for computing matrix functions. More...
struct	matrix_function_compute< MatrixType, 0 >
struct	matrix_function_compute< MatrixType, 1 >
struct	matrix_log_max_pade_degree
struct	matrix_log_min_pade_degree
struct	matrix_sqrt_compute
	Helper struct for computing matrix square roots of general matrices. More...
struct	matrix_sqrt_compute< MatrixType, 0 >
struct	matrix_sqrt_compute< MatrixType, 1 >
struct	matrix_swap_impl
struct	matrix_swap_impl< MatrixTypeA, MatrixTypeB, true >
struct	matrix_type_times_scalar_type
struct	MatrixExponentialScalingOp
	Scaling operator. More...
class	MatrixFunctionAtomic
	Helper class for computing matrix functions of atomic matrices. More...
class	MatrixLogarithmAtomic
	Helper class for computing matrix logarithm of atomic matrices. More...
struct	max_coeff_visitor
struct	MaxReducer
struct	MeanReducer
struct	member_lpnorm
struct	member_redux
struct	meta_least_common_multiple
struct	meta_least_common_multiple< A, B, K, true >
struct	meta_no
class	meta_sqrt
class	meta_sqrt< Y, InfX, SupX, true >
struct	meta_yes
struct	min_coeff_visitor
struct	minimizer_helper1
struct	minimizer_helper2
struct	MinMaxBottomValue
struct	MinMaxBottomValue< T, false, false >
struct	MinMaxBottomValue< T, false, true >
struct	MinMaxBottomValue< T, true, false >
struct	MinReducer
struct	mul_assign_op
struct	negation_op
struct	nested
struct	nested< const Tensor< Scalar_, NumIndices_, Options_, IndexType_ > >
struct	nested< const TensorFixedSize< Scalar_, Dimensions, Options, IndexType_ > >
struct	nested< const TensorMap< PlainObjectType, Options, MakePointer > >
struct	nested< const TensorRef< PlainObjectType > >
struct	nested< Tensor< Scalar_, NumIndices_, Options_, IndexType_ > >
struct	nested< TensorAssignOp< LhsXprType, RhsXprType >, 1, typename eval< TensorAssignOp< LhsXprType, RhsXprType > >::type >
struct	nested< TensorBroadcastingOp< Broadcast, XprType >, 1, typename eval< TensorBroadcastingOp< Broadcast, XprType > >::type >
struct	nested< TensorChippingOp< DimId, XprType >, 1, typename eval< TensorChippingOp< DimId, XprType > >::type >
struct	nested< TensorConcatenationOp< Axis, LhsXprType, RhsXprType >, 1, typename eval< TensorConcatenationOp< Axis, LhsXprType, RhsXprType > >::type >
struct	nested< TensorContractionOp< Dimensions, LhsXprType, RhsXprType >, 1, typename eval< TensorContractionOp< Dimensions, LhsXprType, RhsXprType > >::type >
struct	nested< TensorConversionOp< TargetType, XprType >, 1, typename eval< TensorConversionOp< TargetType, XprType > >::type >
struct	nested< TensorConvolutionOp< Dimensions, InputXprType, KernelXprType >, 1, typename eval< TensorConvolutionOp< Dimensions, InputXprType, KernelXprType > >::type >
struct	nested< TensorCustomBinaryOp< CustomBinaryFunc, LhsXprType, RhsXprType > >
struct	nested< TensorCustomUnaryOp< CustomUnaryFunc, XprType > >
struct	nested< TensorCwiseBinaryOp< BinaryOp, LhsXprType, RhsXprType >, 1, typename eval< TensorCwiseBinaryOp< BinaryOp, LhsXprType, RhsXprType > >::type >
struct	nested< TensorCwiseTernaryOp< TernaryOp, Arg1XprType, Arg2XprType, Arg3XprType >, 1, typename eval< TensorCwiseTernaryOp< TernaryOp, Arg1XprType, Arg2XprType, Arg3XprType > >::type >
struct	nested< TensorCwiseUnaryOp< UnaryOp, XprType >, 1, typename eval< TensorCwiseUnaryOp< UnaryOp, XprType > >::type >
struct	nested< TensorEvalToOp< XprType, MakePointer_ >, 1, typename eval< TensorEvalToOp< XprType, MakePointer_ > >::type >
struct	nested< TensorFixedSize< Scalar_, Dimensions, Options, IndexType_ > >
struct	nested< TensorForcedEvalOp< XprType, MakePointer_ >, 1, typename eval< TensorForcedEvalOp< XprType, MakePointer_ > >::type >
struct	nested< TensorGeneratorOp< Generator, XprType >, 1, typename eval< TensorGeneratorOp< Generator, XprType > >::type >
struct	nested< TensorImagePatchOp< Rows, Cols, XprType >, 1, typename eval< TensorImagePatchOp< Rows, Cols, XprType > >::type >
struct	nested< TensorIndexTupleOp< XprType >, 1, typename eval< TensorIndexTupleOp< XprType > >::type >
struct	nested< TensorInflationOp< Strides, XprType >, 1, typename eval< TensorInflationOp< Strides, XprType > >::type >
struct	nested< TensorLayoutSwapOp< XprType >, 1, typename eval< TensorLayoutSwapOp< XprType > >::type >
struct	nested< TensorMap< PlainObjectType, Options, MakePointer > >
struct	nested< TensorPaddingOp< PaddingDimensions, XprType >, 1, typename eval< TensorPaddingOp< PaddingDimensions, XprType > >::type >
struct	nested< TensorPatchOp< PatchDim, XprType >, 1, typename eval< TensorPatchOp< PatchDim, XprType > >::type >
struct	nested< TensorReductionOp< Op, Dims, XprType, MakePointer_ >, 1, typename eval< TensorReductionOp< Op, Dims, XprType, MakePointer_ > >::type >
struct	nested< TensorRef< PlainObjectType > >
struct	nested< TensorReshapingOp< NewDimensions, XprType >, 1, typename eval< TensorReshapingOp< NewDimensions, XprType > >::type >
struct	nested< TensorReverseOp< ReverseDimensions, XprType >, 1, typename eval< TensorReverseOp< ReverseDimensions, XprType > >::type >
struct	nested< TensorScanOp< Op, XprType >, 1, typename eval< TensorScanOp< Op, XprType > >::type >
struct	nested< TensorSelectOp< IfXprType, ThenXprType, ElseXprType >, 1, typename eval< TensorSelectOp< IfXprType, ThenXprType, ElseXprType > >::type >
struct	nested< TensorShufflingOp< Shuffle, XprType >, 1, typename eval< TensorShufflingOp< Shuffle, XprType > >::type >
struct	nested< TensorSlicingOp< StartIndices, Sizes, XprType >, 1, typename eval< TensorSlicingOp< StartIndices, Sizes, XprType > >::type >
struct	nested< TensorStridingOp< Strides, XprType >, 1, typename eval< TensorStridingOp< Strides, XprType > >::type >
struct	nested< TensorStridingSlicingOp< StartIndices, StopIndices, Strides, XprType >, 1, typename eval< TensorStridingSlicingOp< StartIndices, StopIndices, Strides, XprType > >::type >
struct	nested< TensorTupleReducerOp< ReduceOp, Dims, XprType >, 1, typename eval< TensorTupleReducerOp< ReduceOp, Dims, XprType > >::type >
struct	nested< TensorVolumePatchOp< Planes, Rows, Cols, XprType >, 1, typename eval< TensorVolumePatchOp< Planes, Rows, Cols, XprType > >::type >
struct	nested_eval
struct	nested_eval< ReturnByValue< Derived >, n, PlainObject >
class	no_assignment_operator
class	noncopyable
class	NormalRandomGenerator
struct	not_equal_op
struct	not_op
struct	null_type
struct	nullary_wrapper
struct	nullary_wrapper< Scalar, NullaryOp, false, false, false >
struct	nullary_wrapper< Scalar, NullaryOp, false, false, true >
struct	nullary_wrapper< Scalar, NullaryOp, false, true, false >
struct	nullary_wrapper< Scalar, NullaryOp, true, false, false >
struct	OP
struct	OP< MatrixSolver, MatrixType, Scalar, false >
struct	OP< MatrixSolver, MatrixType, Scalar, true >
struct	OrReducer
struct	outer_stride_at_compile_time
struct	outer_stride_at_compile_time< Derived, false >
struct	OuterReducer
struct	packed_rank2_update_selector
struct	packed_triangular_matrix_vector_product
struct	packed_triangular_matrix_vector_product< Index, Mode, LhsScalar, ConjLhs, RhsScalar, ConjRhs, ColMajor >
struct	packed_triangular_matrix_vector_product< Index, Mode, LhsScalar, ConjLhs, RhsScalar, ConjRhs, RowMajor >
struct	packed_triangular_solve_vector
struct	packed_triangular_solve_vector< LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Conjugate, ColMajor >
struct	packed_triangular_solve_vector< LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Conjugate, RowMajor >
struct	packed_triangular_solve_vector< LhsScalar, RhsScalar, Index, OnTheRight, Mode, Conjugate, StorageOrder >
union	Packet
struct	Packet1cd
struct	Packet2cd
struct	Packet2cf
struct	Packet4cf
struct	Packet4f
struct	packet_traits
struct	packet_traits< const T >
struct	packet_traits< double >
struct	packet_traits< float >
struct	packet_traits< int >
struct	packet_traits< std::complex< double > >
struct	packet_traits< std::complex< float > >
struct	PacketBlock
struct	palign_impl
struct	palign_impl< Offset, Packet16f >
struct	palign_impl< Offset, Packet1cd >
struct	palign_impl< Offset, Packet2cd >
struct	palign_impl< Offset, Packet2cf >
struct	palign_impl< Offset, Packet2d >
struct	palign_impl< Offset, Packet4cf >
struct	palign_impl< Offset, Packet4d >
struct	palign_impl< Offset, Packet4f >
struct	palign_impl< Offset, Packet4i >
struct	palign_impl< Offset, Packet8d >
struct	palign_impl< Offset, Packet8f >
struct	panel_dfs_traits
struct	pardiso_run_selector
struct	pardiso_run_selector< long long int >
struct	pardiso_traits
struct	pardiso_traits< PardisoLDLT< _MatrixType, Options > >
struct	pardiso_traits< PardisoLLT< _MatrixType, Options > >
struct	pardiso_traits< PardisoLU< _MatrixType > >
struct	partial_lu_impl
struct	pastix_traits
struct	pastix_traits< PastixLDLT< _MatrixType, Options > >
struct	pastix_traits< PastixLLT< _MatrixType, Options > >
struct	pastix_traits< PastixLU< _MatrixType > >
struct	perfvalues
struct	permutation_matrix_product
struct	permutation_matrix_product< ExpressionType, Side, Transposed, DenseShape >
struct	permutation_matrix_product< ExpressionType, Side, Transposed, HomogeneousShape >
struct	permutation_matrix_product< ExpressionType, Side, Transposed, SparseShape >
struct	plain_array
struct	plain_array< T, 0, MatrixOrArrayOptions, Alignment >
struct	plain_array< T, Size, MatrixOrArrayOptions, 16 >
struct	plain_array< T, Size, MatrixOrArrayOptions, 32 >
struct	plain_array< T, Size, MatrixOrArrayOptions, 64 >
struct	plain_array< T, Size, MatrixOrArrayOptions, 8 >
struct	plain_col_type
struct	plain_constant_type
struct	plain_diag_type
struct	plain_matrix_type
struct	plain_matrix_type< T, Dense >
struct	plain_matrix_type< T, DiagonalShape >
struct	plain_matrix_type< T, Sparse >
struct	plain_matrix_type_column_major
struct	plain_matrix_type_dense
struct	plain_matrix_type_dense< T, ArrayXpr, Flags >
struct	plain_matrix_type_dense< T, MatrixXpr, Flags >
struct	plain_matrix_type_row_major
struct	plain_object_eval
struct	plain_object_eval< T, Dense >
struct	plain_object_eval< T, Sparse >
struct	plain_row_type
struct	polygamma_impl
struct	polygamma_retval
struct	preserve_inner_most_dims
struct	ProdReducer
struct	product_evaluator
struct	product_evaluator< Product< Lhs, Rhs, AliasFreeProduct >, ProductTag, PermutationShape, SparseShape >
struct	product_evaluator< Product< Lhs, Rhs, AliasFreeProduct >, ProductTag, SparseShape, PermutationShape >
struct	product_evaluator< Product< Lhs, Rhs, DefaultProduct >, LazyCoeffBasedProductMode, DenseShape, DenseShape >
struct	product_evaluator< Product< Lhs, Rhs, DefaultProduct >, OuterProduct, DenseShape, SparseShape >
struct	product_evaluator< Product< Lhs, Rhs, DefaultProduct >, OuterProduct, SparseShape, DenseShape >
struct	product_evaluator< Product< Lhs, Rhs, DefaultProduct >, ProductTag, DiagonalShape, SparseShape >
struct	product_evaluator< Product< Lhs, Rhs, DefaultProduct >, ProductTag, SparseShape, DiagonalShape >
struct	product_evaluator< Product< Lhs, Rhs, LazyProduct >, ProductTag, DenseShape, DenseShape >
struct	product_evaluator< Product< Lhs, Rhs, LazyProduct >, ProductTag, DenseShape, HomogeneousShape >
struct	product_evaluator< Product< Lhs, Rhs, LazyProduct >, ProductTag, HomogeneousShape, DenseShape >
struct	product_evaluator< Product< Lhs, Rhs, Options >, ProductTag, LhsShape, RhsShape >
struct	product_evaluator< Product< Lhs, Rhs, ProductKind >, ProductTag, DenseShape, DiagonalShape >
struct	product_evaluator< Product< Lhs, Rhs, ProductKind >, ProductTag, DiagonalShape, DenseShape >
struct	product_evaluator< Product< Lhs, RhsView, DefaultProduct >, ProductTag, SparseShape, SparseSelfAdjointShape >
struct	product_evaluator< Product< LhsView, Rhs, DefaultProduct >, ProductTag, SparseSelfAdjointShape, SparseShape >
struct	product_op
struct	product_promote_storage_type
struct	product_promote_storage_type< A, A, ProductTag >
struct	product_promote_storage_type< A, Dense, ProductTag >
struct	product_promote_storage_type< A, DiagonalShape, ProductTag >
struct	product_promote_storage_type< A, PermutationStorage, ProductTag >
struct	product_promote_storage_type< Dense, B, ProductTag >
struct	product_promote_storage_type< Dense, Dense, ProductTag >
struct	product_promote_storage_type< Dense, DiagonalShape, ProductTag >
struct	product_promote_storage_type< Dense, PermutationStorage, ProductTag >
struct	product_promote_storage_type< Dense, Sparse, OuterProduct >
struct	product_promote_storage_type< DiagonalShape, B, ProductTag >
struct	product_promote_storage_type< DiagonalShape, Dense, ProductTag >
struct	product_promote_storage_type< PermutationStorage, B, ProductTag >
struct	product_promote_storage_type< PermutationStorage, Dense, ProductTag >
struct	product_promote_storage_type< PermutationStorage, Sparse, ProductTag >
struct	product_promote_storage_type< Sparse, Dense, OuterProduct >
struct	product_promote_storage_type< Sparse, PermutationStorage, ProductTag >
struct	product_selfadjoint_matrix
struct	product_selfadjoint_matrix< Scalar, Index, LhsStorageOrder, false, ConjugateLhs, RhsStorageOrder, true, ConjugateRhs, ColMajor >
struct	product_selfadjoint_matrix< Scalar, Index, LhsStorageOrder, LhsSelfAdjoint, ConjugateLhs, RhsStorageOrder, RhsSelfAdjoint, ConjugateRhs, RowMajor >
struct	product_selfadjoint_matrix< Scalar, Index, LhsStorageOrder, true, ConjugateLhs, RhsStorageOrder, false, ConjugateRhs, ColMajor >
struct	product_size_category
struct	product_triangular_matrix_matrix
struct	product_triangular_matrix_matrix< Scalar, Index, Mode, false, LhsStorageOrder, ConjugateLhs, RhsStorageOrder, ConjugateRhs, ColMajor, Version >
struct	product_triangular_matrix_matrix< Scalar, Index, Mode, LhsIsTriangular, LhsStorageOrder, ConjugateLhs, RhsStorageOrder, ConjugateRhs, RowMajor, Version >
struct	product_triangular_matrix_matrix< Scalar, Index, Mode, true, LhsStorageOrder, ConjugateLhs, RhsStorageOrder, ConjugateRhs, ColMajor, Version >
struct	product_triangular_matrix_matrix_trmm
struct	product_type
struct	product_type_selector
struct	product_type_selector< 1, 1, 1 >
struct	product_type_selector< 1, 1, Depth >
struct	product_type_selector< 1, Large, Large >
struct	product_type_selector< 1, Large, Small >
struct	product_type_selector< 1, N, 1 >
struct	product_type_selector< 1, Small, Large >
struct	product_type_selector< 1, Small, Small >
struct	product_type_selector< Large, 1, Large >
struct	product_type_selector< Large, 1, Small >
struct	product_type_selector< Large, Large, Large >
struct	product_type_selector< Large, Large, Small >
struct	product_type_selector< Large, Small, 1 >
struct	product_type_selector< Large, Small, Large >
struct	product_type_selector< Large, Small, Small >
struct	product_type_selector< M, 1, 1 >
struct	product_type_selector< M, N, 1 >
struct	product_type_selector< Small, 1, Large >
struct	product_type_selector< Small, 1, Small >
struct	product_type_selector< Small, Large, 1 >
struct	product_type_selector< Small, Large, Large >
struct	product_type_selector< Small, Large, Small >
struct	product_type_selector< Small, Small, 1 >
struct	product_type_selector< Small, Small, Large >
struct	product_type_selector< Small, Small, Small >
struct	projective_transform_inverse
struct	projective_transform_inverse< TransformType, Projective >
struct	promote_index_type
struct	promote_scalar_arg
struct	promote_scalar_arg< S, T, false >
struct	promote_scalar_arg< S, T, true >
struct	promote_scalar_arg_unsupported
struct	promote_scalar_arg_unsupported< ExprScalar, T, PromotedType, false, true >
struct	promote_scalar_arg_unsupported< S, T, PromotedType, ConvertibleToLiteral, false >
struct	promote_scalar_arg_unsupported< S, T, PromotedType, true, true >
struct	promote_scalar_arg_unsupported< S, T, S, false, true >
struct	promote_storage_type
struct	promote_storage_type< A, A >
struct	promote_storage_type< A, const A >
struct	promote_storage_type< const A, A >
struct	qr_preconditioner_impl
class	qr_preconditioner_impl< MatrixType, ColPivHouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true >
class	qr_preconditioner_impl< MatrixType, ColPivHouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true >
class	qr_preconditioner_impl< MatrixType, FullPivHouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true >
class	qr_preconditioner_impl< MatrixType, FullPivHouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true >
class	qr_preconditioner_impl< MatrixType, HouseholderQRPreconditioner, PreconditionIfMoreColsThanRows, true >
class	qr_preconditioner_impl< MatrixType, HouseholderQRPreconditioner, PreconditionIfMoreRowsThanCols, true >
class	qr_preconditioner_impl< MatrixType, QRPreconditioner, Case, false >
struct	qr_preconditioner_should_do_anything
struct	quat_conj
struct	quat_conj< Architecture::SSE, Derived, double, Alignment >
struct	quat_conj< Architecture::SSE, Derived, float, Alignment >
struct	quat_product
struct	quat_product< Architecture::SSE, Derived, OtherDerived, double, Alignment >
struct	quat_product< Architecture::SSE, Derived, OtherDerived, float, Aligned16 >
struct	quaternionbase_assign_impl
struct	quaternionbase_assign_impl< Other, 3, 3 >
struct	quaternionbase_assign_impl< Other, 4, 1 >
struct	random_default_impl< half, false, false >
struct	rank2_update_selector
struct	rcond_compute_sign
struct	rcond_compute_sign< Vector, Vector, false >
struct	reducer_traits
struct	reducer_traits< AndReducer, Device >
struct	reducer_traits< ArgMaxTupleReducer< T >, Device >
struct	reducer_traits< ArgMinTupleReducer< T >, Device >
struct	reducer_traits< MaxReducer< T >, Device >
struct	reducer_traits< MeanReducer< T >, Device >
struct	reducer_traits< MinReducer< T >, Device >
struct	reducer_traits< OrReducer, Device >
struct	reducer_traits< ProdReducer< T >, Device >
struct	reducer_traits< SumReducer< T >, Device >
class	redux_evaluator
struct	redux_impl
struct	redux_impl< Func, Derived, DefaultTraversal, CompleteUnrolling >
struct	redux_impl< Func, Derived, DefaultTraversal, NoUnrolling >
struct	redux_impl< Func, Derived, LinearVectorizedTraversal, CompleteUnrolling >
struct	redux_impl< Func, Derived, LinearVectorizedTraversal, NoUnrolling >
struct	redux_impl< Func, Derived, SliceVectorizedTraversal, Unrolling >
struct	redux_novec_unroller
struct	redux_novec_unroller< Func, Derived, Start, 0 >
struct	redux_novec_unroller< Func, Derived, Start, 1 >
struct	redux_traits
struct	redux_vec_unroller
struct	redux_vec_unroller< Func, Derived, Start, 1 >
struct	ref_selector
struct	remove_all
struct	remove_all< const T >
struct	remove_all< T & >
struct	remove_all< T * >
struct	remove_all< T const & >
struct	remove_all< T const * >
struct	remove_const
struct	remove_const< const T >
struct	remove_const< const T[]>
struct	remove_const< const T[Size]>
struct	remove_pointer
struct	remove_pointer< T * >
struct	remove_pointer< T *const >
struct	remove_reference
struct	remove_reference< T & >
struct	result_of
struct	result_of< Func(ArgType)>
struct	result_of< Func(ArgType0, ArgType1)>
struct	result_of< Func(ArgType0, ArgType1, ArgType2)>
struct	result_of< scalar_cmp_op< LhsScalar, RhsScalar, Cmp >(LhsScalar, RhsScalar)>
struct	reverse_packet_cond
struct	reverse_packet_cond< PacketType, false >
struct	rotation_base_generic_product_selector
struct	rotation_base_generic_product_selector< RotationDerived, DiagonalMatrix< Scalar, Dim, MaxDim >, false >
struct	rotation_base_generic_product_selector< RotationDerived, MatrixType, false >
struct	rotation_base_generic_product_selector< RotationDerived, OtherVectorType, true >
struct	scalar_abs2_op
struct	scalar_abs_op
struct	scalar_acos_op
struct	scalar_arg_op
struct	scalar_asin_op
struct	scalar_atan_op
struct	scalar_betainc_op
struct	scalar_boolean_and_op
struct	scalar_boolean_not_op
struct	scalar_boolean_or_op
struct	scalar_boolean_xor_op
struct	scalar_cast_op
struct	scalar_cast_op< Eigen::half, float >
struct	scalar_cast_op< float, Eigen::half >
struct	scalar_cast_op< int, Eigen::half >
struct	scalar_ceil_op
struct	scalar_cmp_op
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_EQ >
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_GE >
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_GT >
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_LE >
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_LT >
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_NEQ >
struct	scalar_cmp_op< LhsScalar, RhsScalar, cmp_UNORD >
struct	scalar_conj_product_op
struct	scalar_conjugate_op
struct	scalar_constant_op
struct	scalar_cos_op
struct	scalar_cosh_op
struct	scalar_cube_op
struct	scalar_difference_op
struct	scalar_digamma_op
struct	scalar_div_cost
struct	scalar_div_cost< double, true >
struct	scalar_div_cost< float, true >
struct	scalar_div_cost< signed long, Vectorized, typename conditional< sizeof(long)==8, void, false_type >::type >
struct	scalar_div_cost< std::complex< T >, Vectorized >
struct	scalar_div_cost< unsigned long, Vectorized, typename conditional< sizeof(long)==8, void, false_type >::type >
struct	scalar_erf_op
struct	scalar_erfc_op
struct	scalar_exp_op
struct	scalar_floor_op
struct	scalar_fmod_op
struct	scalar_hypot_op
struct	scalar_hypot_op< Scalar, Scalar >
struct	scalar_identity_op
struct	scalar_igamma_op
struct	scalar_igammac_op
struct	scalar_imag_op
struct	scalar_imag_ref_op
struct	scalar_inverse_op
struct	scalar_isfinite_op
struct	scalar_isinf_op
struct	scalar_isnan_op
struct	scalar_lgamma_op
struct	scalar_log10_op
struct	scalar_log1p_op
struct	scalar_log_op
struct	scalar_max_op
struct	scalar_min_op
struct	scalar_mod2_op
struct	scalar_mod_op
struct	scalar_opposite_op
struct	scalar_polygamma_op
struct	scalar_pow_op
struct	scalar_product_op
struct	scalar_product_traits
struct	scalar_quotient_op
struct	scalar_random_op
struct	scalar_real_op
struct	scalar_real_ref_op
struct	scalar_round_op
struct	scalar_rsqrt_op
struct	scalar_score_coeff_op
struct	scalar_sigmoid_op
struct	scalar_sign_op
struct	scalar_sign_op< Scalar, false >
struct	scalar_sign_op< Scalar, true >
struct	scalar_sin_op
struct	scalar_sinh_op
struct	scalar_sqrt_op
struct	scalar_square_op
struct	scalar_sum_op
struct	scalar_sum_op< bool, bool >
struct	scalar_tan_op
struct	scalar_tanh_op
struct	scalar_zeta_op
class	scoped_array
struct	Selector
struct	selfadjoint_matrix_vector_product
struct	selfadjoint_matrix_vector_product_symv
struct	selfadjoint_packed_rank1_update
struct	selfadjoint_packed_rank1_update< Scalar, Index, ColMajor, UpLo, ConjLhs, ConjRhs >
struct	selfadjoint_packed_rank1_update< Scalar, Index, RowMajor, UpLo, ConjLhs, ConjRhs >
struct	selfadjoint_product_impl
struct	selfadjoint_product_impl< Lhs, 0, true, Rhs, RhsMode, false >
struct	selfadjoint_product_impl< Lhs, LhsMode, false, Rhs, 0, true >
struct	selfadjoint_product_impl< Lhs, LhsMode, false, Rhs, RhsMode, false >
struct	selfadjoint_rank2_update_selector
struct	selfadjoint_rank2_update_selector< Scalar, Index, UType, VType, Lower >
struct	selfadjoint_rank2_update_selector< Scalar, Index, UType, VType, Upper >
struct	setIdentity_impl
struct	setIdentity_impl< Derived, true >
struct	significant_decimals_impl
class	SimpleTensorContractionMapper
struct	simplicial_cholesky_grab_input
struct	simplicial_cholesky_grab_input< MatrixType, MatrixType >
struct	size_at_compile_time
struct	size_of_xpr_at_compile_time
struct	sizes_match_below_dim
struct	sizes_match_below_dim< Dims1, Dims2, 0, 0 >
struct	sizes_match_below_dim< Dims1, Dims2, n, n >
struct	skyline_product_mode
struct	skyline_product_selector
struct	skyline_product_selector< Lhs, Rhs, ResultType, ColMajor >
struct	skyline_product_selector< Lhs, Rhs, ResultType, RowMajor >
class	SkylineProduct
struct	SkylineProductReturnType
struct	smart_copy_helper
struct	smart_copy_helper< T, false >
struct	smart_copy_helper< T, true >
struct	smart_memmove_helper
struct	smart_memmove_helper< T, false >
struct	smart_memmove_helper< T, true >
struct	solve_traits
struct	solve_traits< Decomposition, RhsType, Dense >
struct	solve_traits< Decomposition, RhsType, Sparse >
struct	Sparse2Dense
struct	Sparse2Sparse
struct	sparse_conjunction_evaluator
struct	sparse_conjunction_evaluator< XprType, IndexBased, IteratorBased >
struct	sparse_conjunction_evaluator< XprType, IteratorBased, IndexBased >
struct	sparse_conjunction_evaluator< XprType, IteratorBased, IteratorBased >
struct	sparse_dense_outer_product_evaluator
struct	sparse_diagonal_product_evaluator
struct	sparse_diagonal_product_evaluator< SparseXprType, DiagCoeffType, SDP_AsCwiseProduct >
struct	sparse_diagonal_product_evaluator< SparseXprType, DiagonalCoeffType, SDP_AsScalarProduct >
struct	sparse_eval
struct	sparse_eval< T, 1, 1, Flags >
struct	sparse_eval< T, 1, Cols, Flags >
struct	sparse_eval< T, Rows, 1, Flags >
class	sparse_matrix_block_impl
struct	sparse_solve_triangular_selector
struct	sparse_solve_triangular_selector< Lhs, Rhs, Mode, Lower, ColMajor >
struct	sparse_solve_triangular_selector< Lhs, Rhs, Mode, Lower, RowMajor >
struct	sparse_solve_triangular_selector< Lhs, Rhs, Mode, Upper, ColMajor >
struct	sparse_solve_triangular_selector< Lhs, Rhs, Mode, Upper, RowMajor >
struct	sparse_solve_triangular_sparse_selector
struct	sparse_solve_triangular_sparse_selector< Lhs, Rhs, Mode, UpLo, ColMajor >
struct	sparse_sparse_product_with_pruning_selector
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, ColMajor, ColMajor, ColMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, ColMajor, ColMajor, RowMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, ColMajor, RowMajor, ColMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, ColMajor, RowMajor, RowMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, RowMajor, ColMajor, ColMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, RowMajor, ColMajor, RowMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, RowMajor, RowMajor, ColMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, RowMajor, RowMajor, RowMajor >
struct	sparse_sparse_to_dense_product_selector
struct	sparse_sparse_to_dense_product_selector< Lhs, Rhs, ResultType, ColMajor, ColMajor >
struct	sparse_sparse_to_dense_product_selector< Lhs, Rhs, ResultType, ColMajor, RowMajor >
struct	sparse_sparse_to_dense_product_selector< Lhs, Rhs, ResultType, RowMajor, ColMajor >
struct	sparse_sparse_to_dense_product_selector< Lhs, Rhs, ResultType, RowMajor, RowMajor >
struct	sparse_time_dense_product_impl
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, AlphaType, ColMajor, true >
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, typename DenseResType::Scalar, ColMajor, false >
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, typename DenseResType::Scalar, RowMajor, false >
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, typename DenseResType::Scalar, RowMajor, true >
struct	sparse_vector_assign_selector
struct	sparse_vector_assign_selector< Dest, Src, SVA_Inner >
struct	sparse_vector_assign_selector< Dest, Src, SVA_Outer >
struct	sparse_vector_assign_selector< Dest, Src, SVA_RuntimeSwitch >
class	SparseLUImpl
	Base class for sparseLU. More...
class	SparseRefBase
struct	SparseSelfAdjoint2Sparse
struct	SparseSelfAdjointShape
class	SparseTransposeImpl
class	SparseTransposeImpl< MatrixType, CompressedAccessBit >
struct	SparseTriangularShape
struct	static_assertion
struct	static_assertion< true >
struct	static_val
struct	stem_function
struct	storage_kind_to_evaluator_kind
struct	storage_kind_to_evaluator_kind< Sparse >
struct	storage_kind_to_shape
struct	storage_kind_to_shape< Dense >
struct	storage_kind_to_shape< DiagonalShape >
struct	storage_kind_to_shape< PermutationStorage >
struct	storage_kind_to_shape< SolverStorage >
struct	storage_kind_to_shape< Sparse >
struct	storage_kind_to_shape< TranspositionsStorage >
struct	sub_assign_op
struct	sum_op
struct	SumReducer
struct	svd_precondition_2x2_block_to_be_real
struct	svd_precondition_2x2_block_to_be_real< MatrixType, QRPreconditioner, false >
struct	svd_precondition_2x2_block_to_be_real< MatrixType, QRPreconditioner, true >
struct	swap_assign_op
struct	syclGenericBufferReducer
struct	symm_pack_lhs
struct	symm_pack_rhs
struct	take_matrix_for_product
struct	take_matrix_for_product< Transform< Scalar, Dim, Mode, Options > >
struct	take_matrix_for_product< Transform< Scalar, Dim, Projective, Options > >
struct	tensor_index_linearization_helper
struct	tensor_index_linearization_helper< Index, NumIndices, 0, RowMajor >
struct	tensor_static_symgroup
struct	tensor_static_symgroup_do_apply
struct	tensor_static_symgroup_do_apply< internal::type_list< EIGEN_TPL_PP_SPEC_HACK_USE(empty)> >
struct	tensor_static_symgroup_do_apply< internal::type_list< first, next... > >
struct	tensor_static_symgroup_element
struct	tensor_static_symgroup_element_ctor
struct	tensor_static_symgroup_equality
struct	tensor_static_symgroup_identity_ctor
struct	tensor_static_symgroup_if
struct	tensor_static_symgroup_if< true, NumIndices, Gens... >
struct	tensor_static_symgroup_multiply
struct	tensor_static_symgroup_multiply_helper
struct	tensor_static_symgroup_permutate
struct	tensor_static_symgroup_permutate< numeric_list< int, nn... > >
struct	tensor_symmetry_assign_value
struct	tensor_symmetry_calculate_flags
struct	tensor_symmetry_num_indices
struct	tensor_symmetry_num_indices< AntiHermiticity< One_, Two_ >, Sym... >
struct	tensor_symmetry_num_indices< AntiSymmetry< One_, Two_ >, Sym... >
struct	tensor_symmetry_num_indices< Hermiticity< One_, Two_ >, Sym... >
struct	tensor_symmetry_num_indices< Symmetry< One_, Two_ >, Sym... >
struct	tensor_symmetry_pre_analysis
struct	tensor_symmetry_pre_analysis< NumIndices >
struct	tensor_symmetry_pre_analysis< NumIndices, Gen_, Gens_... >
class	tensor_symmetry_value_setter
struct	tensor_vsize_index_linearization_helper
struct	tensor_vsize_index_linearization_helper< Index, NumIndices, 0, RowMajor >
class	TensorContractionBlocking
class	TensorContractionInputMapper
class	TensorContractionSubMapper
class	TensorExecutor
class	TensorExecutor< Expression, DefaultDevice, true >
struct	TensorIntDivisor
class	TensorIntDivisor< int32_t, true >
class	TensorLazyBaseEvaluator
class	TensorLazyEvaluator
class	TensorLazyEvaluatorReadOnly
class	TensorLazyEvaluatorWritable
struct	TensorPrinter
struct	TensorPrinter< Tensor, 0 >
struct	TensorPrinter< Tensor, 1 >
struct	TensorUInt128
struct	ternary_evaluator
struct	ternary_evaluator< CwiseTernaryOp< TernaryOp, Arg1, Arg2, Arg3 >, IndexBased, IndexBased >
struct	ternary_result_of_select
struct	ternary_result_of_select< Func, ArgType0, ArgType1, ArgType2, sizeof(has_std_result_type)>
struct	ternary_result_of_select< Func, ArgType0, ArgType1, ArgType2, sizeof(has_tr1_result)>
struct	traits
struct	traits< AngleAxis< _Scalar > >
struct	traits< Array< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >
struct	traits< ArrayWrapper< ExpressionType > >
struct	traits< BandMatrix< _Scalar, _Rows, _Cols, _Supers, _Subs, _Options > >
struct	traits< BandMatrixWrapper< _CoefficientsType, _Rows, _Cols, _Supers, _Subs, _Options > >
struct	traits< BDCSVD< _MatrixType > >
struct	traits< BiCGSTAB< _MatrixType, _Preconditioner > >
struct	traits< Block< XprType, BlockRows, BlockCols, InnerPanel > >
struct	traits< BlockSparseMatrix< _Scalar, _BlockAtCompileTime, _Options, _Index > >
struct	traits< BlockSparseMatrixView< BlockSparseMatrixT > >
struct	traits< BlockSparseTimeDenseProduct< BlockSparseMatrixT, VecType > >
struct	traits< ColPivHouseholderQR< _MatrixType > >
struct	traits< CompleteOrthogonalDecomposition< _MatrixType > >
struct	traits< ConjugateGradient< _MatrixType, _UpLo, _Preconditioner > >
struct	traits< const T >
struct	traits< CwiseBinaryOp< BinaryOp, Lhs, Rhs > >
struct	traits< CwiseNullaryOp< NullaryOp, PlainObjectType > >
struct	traits< CwiseTernaryOp< TernaryOp, Arg1, Arg2, Arg3 > >
struct	traits< CwiseUnaryOp< UnaryOp, XprType > >
struct	traits< CwiseUnaryView< ViewOp, MatrixType > >
struct	traits< DGMRES< _MatrixType, _Preconditioner > >
struct	traits< Diagonal< const SparseMatrix< _Scalar, _Options, _Index >, DiagIndex > >
struct	traits< Diagonal< MatrixType, DiagIndex > >
struct	traits< Diagonal< SparseMatrix< _Scalar, _Options, _Index >, DiagIndex > >
struct	traits< DiagonalMatrix< _Scalar, SizeAtCompileTime, MaxSizeAtCompileTime > >
struct	traits< DiagonalWrapper< _DiagonalVectorType > >
struct	traits< DynamicSparseMatrix< _Scalar, _Options, _StorageIndex > >
struct	traits< EulerAngles< _Scalar, _System > >
struct	traits< EvalToTemp< ArgType > >
struct	traits< ForceAlignedAccess< ExpressionType > >
struct	traits< FullPivHouseholderQR< _MatrixType > >
struct	traits< FullPivHouseholderQRMatrixQReturnType< MatrixType > >
struct	traits< FullPivLU< _MatrixType > >
struct	traits< GMRES< _MatrixType, _Preconditioner > >
struct	traits< HessenbergDecompositionMatrixHReturnType< MatrixType > >
struct	traits< Homogeneous< MatrixType, Direction > >
struct	traits< homogeneous_left_product_impl< Homogeneous< MatrixType, Vertical >, Lhs > >
struct	traits< homogeneous_right_product_impl< Homogeneous< MatrixType, Horizontal >, Rhs > >
struct	traits< HouseholderSequence< VectorsType, CoeffsType, Side > >
struct	traits< image_retval_base< DecompositionType > >
struct	traits< Inverse< XprType > >
struct	traits< JacobiSVD< _MatrixType, QRPreconditioner > >
struct	traits< kernel_retval_base< DecompositionType > >
struct	traits< KroneckerProduct< _Lhs, _Rhs > >
struct	traits< KroneckerProductSparse< _Lhs, _Rhs > >
struct	traits< LeastSquaresConjugateGradient< _MatrixType, _Preconditioner > >
struct	traits< Map< const Quaternion< _Scalar >, _Options > >
struct	traits< Map< const SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	traits< Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, _StorageIndex >, _PacketAccess > >
struct	traits< Map< PlainObjectType, MapOptions, StrideType > >
struct	traits< Map< Quaternion< _Scalar >, _Options > >
struct	traits< Map< SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType > >
struct	traits< Map< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, _StorageIndex >, _PacketAccess > >
struct	traits< MappedSparseMatrix< _Scalar, _Flags, _StorageIndex > >
struct	traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >
struct	traits< MatrixComplexPowerReturnValue< Derived > >
struct	traits< MatrixExponentialReturnValue< Derived > >
struct	traits< MatrixFunctionReturnValue< Derived > >
struct	traits< MatrixLogarithmReturnValue< Derived > >
struct	traits< MatrixPowerParenthesesReturnValue< MatrixPowerType > >
struct	traits< MatrixPowerReturnValue< Derived > >
struct	traits< MatrixReplacement >
struct	traits< MatrixSquareRootReturnValue< Derived > >
struct	traits< MatrixWrapper< ExpressionType > >
struct	traits< MINRES< _MatrixType, _UpLo, _Preconditioner > >
struct	traits< NestByValue< ExpressionType > >
struct	traits< PartialPivLU< _MatrixType > >
struct	traits< PartialReduxExpr< MatrixType, MemberOp, Direction > >
struct	traits< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, _StorageIndex > >
struct	traits< PermutationWrapper< _IndicesType > >
struct	traits< Product< Lhs, Rhs, Option > >
struct	traits< Quaternion< _Scalar, _Options > >
struct	traits< Ref< _PlainObjectType, _Options, _StrideType > >
struct	traits< Ref< const SparseMatrix< MatScalar, MatOptions, MatIndex >, _Options, _StrideType > >
struct	traits< Ref< const SparseVector< MatScalar, MatOptions, MatIndex >, _Options, _StrideType > >
struct	traits< Ref< SparseMatrix< MatScalar, MatOptions, MatIndex >, _Options, _StrideType > >
struct	traits< Ref< SparseVector< MatScalar, MatOptions, MatIndex >, _Options, _StrideType > >
struct	traits< RefBase< Derived > >
struct	traits< Replicate< MatrixType, RowFactor, ColFactor > >
struct	traits< ReturnByValue< Derived > >
struct	traits< Reverse< MatrixType, Direction > >
struct	traits< Rotation2D< _Scalar > >
struct	traits< Select< ConditionMatrixType, ThenMatrixType, ElseMatrixType > >
struct	traits< SelfAdjointView< MatrixType, UpLo > >
struct	traits< SimplicialCholesky< _MatrixType, _UpLo, _Ordering > >
struct	traits< SimplicialLDLT< _MatrixType, _UpLo, _Ordering > >
struct	traits< SimplicialLLT< _MatrixType, _UpLo, _Ordering > >
struct	traits< SkylineMatrix< _Scalar, _Options > >
struct	traits< SkylineProduct< LhsNested, RhsNested, ProductMode > >
struct	traits< Solve< Decomposition, RhsType > >
struct	traits< SolveWithGuess< Decomposition, RhsType, GuessType > >
struct	traits< SparseCompressedBase< Derived > >
struct	traits< SparseMatrix< _Scalar, _Options, _Index > >
struct	traits< SparseQR_QProduct< SparseQRType, Derived > >
struct	traits< SparseQRMatrixQReturnType< SparseQRType > >
struct	traits< SparseQRMatrixQTransposeReturnType< SparseQRType > >
struct	traits< SparseRefBase< Derived > >
struct	traits< SparseSelfAdjointView< MatrixType, Mode > >
struct	traits< SparseSymmetricPermutationProduct< MatrixType, Mode > >
struct	traits< SparseVector< _Scalar, _Options, _StorageIndex > >
struct	traits< SparseView< MatrixType > >
struct	traits< SPQR_QProduct< SPQRType, Derived > >
struct	traits< SPQRMatrixQReturnType< SPQRType > >
struct	traits< SPQRMatrixQTransposeReturnType< SPQRType > >
struct	traits< Tensor< Scalar_, NumIndices_, Options_, IndexType_ > >
struct	traits< TensorAssignOp< LhsXprType, RhsXprType > >
struct	traits< TensorBroadcastingOp< Broadcast, XprType > >
struct	traits< TensorChippingOp< DimId, XprType > >
struct	traits< TensorConcatenationOp< Axis, LhsXprType, RhsXprType > >
struct	traits< TensorContractionOp< Dimensions, LhsXprType, RhsXprType > >
struct	traits< TensorConversionOp< TargetType, XprType > >
struct	traits< TensorConvolutionOp< Dimensions, InputXprType, KernelXprType > >
struct	traits< TensorCustomBinaryOp< CustomBinaryFunc, LhsXprType, RhsXprType > >
struct	traits< TensorCustomUnaryOp< CustomUnaryFunc, XprType > >
struct	traits< TensorCwiseBinaryOp< BinaryOp, LhsXprType, RhsXprType > >
struct	traits< TensorCwiseNullaryOp< NullaryOp, XprType > >
struct	traits< TensorCwiseTernaryOp< TernaryOp, Arg1XprType, Arg2XprType, Arg3XprType > >
struct	traits< TensorCwiseUnaryOp< UnaryOp, XprType > >
struct	traits< TensorEvalToOp< XprType, MakePointer_ > >
struct	traits< TensorEvaluator< const TensorContractionOp< Indices_, LeftArgType_, RightArgType_ >, Device_ > >
struct	traits< TensorFixedSize< Scalar_, Dimensions, Options_, IndexType_ > >
struct	traits< TensorForcedEvalOp< XprType, MakePointer_ > >
struct	traits< TensorGeneratorOp< Generator, XprType > >
struct	traits< TensorImagePatchOp< Rows, Cols, XprType > >
struct	traits< TensorIndexTupleOp< XprType > >
struct	traits< TensorInflationOp< Strides, XprType > >
struct	traits< TensorLayoutSwapOp< XprType > >
struct	traits< TensorMap< PlainObjectType, Options_, MakePointer_ > >
struct	traits< TensorPaddingOp< PaddingDimensions, XprType > >
struct	traits< TensorPatchOp< PatchDim, XprType > >
struct	traits< TensorReductionOp< Op, Dims, XprType, MakePointer_ > >
struct	traits< TensorRef< PlainObjectType > >
struct	traits< TensorReshapingOp< NewDimensions, XprType > >
struct	traits< TensorReverseOp< ReverseDimensions, XprType > >
struct	traits< TensorScanOp< Op, XprType > >
struct	traits< TensorSelectOp< IfXprType, ThenXprType, ElseXprType > >
struct	traits< TensorShufflingOp< Shuffle, XprType > >
struct	traits< TensorSlicingOp< StartIndices, Sizes, XprType > >
struct	traits< TensorStridingOp< Strides, XprType > >
struct	traits< TensorStridingSlicingOp< StartIndices, StopIndices, Strides, XprType > >
struct	traits< TensorTupleReducerOp< ReduceOp, Dims, XprType > >
struct	traits< TensorVolumePatchOp< Planes, Rows, Cols, XprType > >
struct	traits< Transform< _Scalar, _Dim, _Mode, _Options > >
struct	traits< Transpose< MatrixType > >
struct	traits< Transpose< TranspositionsBase< Derived > > >
struct	traits< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, _StorageIndex > >
struct	traits< TranspositionsWrapper< _IndicesType > >
struct	traits< triangular_solve_retval< Side, TriangularType, Rhs > >
struct	traits< TriangularView< MatrixType, _Mode > >
struct	traits< TridiagonalizationMatrixTReturnType< MatrixType > >
struct	traits< VectorBlock< VectorType, Size > >
struct	transfer_constness
struct	transform_construct_from_matrix
struct	transform_construct_from_matrix< Other, AffineCompact, Options, Dim, HDim, HDim, HDim >
struct	transform_construct_from_matrix< Other, Mode, Options, Dim, HDim, Dim, Dim >
struct	transform_construct_from_matrix< Other, Mode, Options, Dim, HDim, Dim, HDim >
struct	transform_construct_from_matrix< Other, Mode, Options, Dim, HDim, HDim, HDim >
struct	transform_left_product_impl
struct	transform_left_product_impl< Other, AffineCompact, Options, Dim, HDim, Dim, HDim >
struct	transform_left_product_impl< Other, AffineCompact, Options, Dim, HDim, HDim, HDim >
struct	transform_left_product_impl< Other, Mode, Options, Dim, HDim, Dim, Dim >
struct	transform_left_product_impl< Other, Mode, Options, Dim, HDim, Dim, HDim >
struct	transform_left_product_impl< Other, Mode, Options, Dim, HDim, HDim, HDim >
struct	transform_make_affine
struct	transform_make_affine< AffineCompact >
struct	transform_product_result
struct	transform_right_product_impl
struct	transform_right_product_impl< TransformType, MatrixType, 0, RhsCols >
struct	transform_right_product_impl< TransformType, MatrixType, 1, RhsCols >
struct	transform_right_product_impl< TransformType, MatrixType, 2, 1 >
struct	transform_right_product_impl< TransformType, MatrixType, 2, RhsCols >
struct	transform_take_affine_part
struct	transform_take_affine_part< Transform< Scalar, Dim, AffineCompact, Options > >
struct	transform_traits
struct	transform_transform_product_impl
struct	transform_transform_product_impl< Transform< Scalar, Dim, AffineCompact, LhsOptions >, Transform< Scalar, Dim, Projective, RhsOptions >, true >
struct	transform_transform_product_impl< Transform< Scalar, Dim, LhsMode, LhsOptions >, Transform< Scalar, Dim, RhsMode, RhsOptions >, false >
struct	transform_transform_product_impl< Transform< Scalar, Dim, LhsMode, LhsOptions >, Transform< Scalar, Dim, RhsMode, RhsOptions >, true >
struct	transform_transform_product_impl< Transform< Scalar, Dim, Projective, LhsOptions >, Transform< Scalar, Dim, AffineCompact, RhsOptions >, true >
struct	TransposeImpl_base
struct	TransposeImpl_base< MatrixType, false >
struct	transposition_matrix_product
struct	Triangular2Dense
struct	Triangular2Triangular
struct	triangular_assignment_loop
struct	triangular_assignment_loop< Kernel, Mode, 0, SetOpposite >
struct	triangular_assignment_loop< Kernel, Mode, Dynamic, SetOpposite >
class	triangular_dense_assignment_kernel
class	triangular_dense_assignment_kernel< UpLo, SelfAdjoint, SetOpposite, DstEvaluatorTypeT, SrcEvaluatorTypeT, Functor, Version >
struct	triangular_matrix_vector_product
struct	triangular_matrix_vector_product< Index, Mode, LhsScalar, ConjLhs, RhsScalar, ConjRhs, ColMajor, Version >
struct	triangular_matrix_vector_product< Index, Mode, LhsScalar, ConjLhs, RhsScalar, ConjRhs, RowMajor, Version >
struct	triangular_matrix_vector_product_trmv
struct	triangular_product_impl
struct	triangular_product_impl< Mode, false, Lhs, true, Rhs, false >
struct	triangular_product_impl< Mode, LhsIsTriangular, Lhs, false, Rhs, false >
struct	triangular_product_impl< Mode, true, Lhs, false, Rhs, true >
struct	triangular_solve_matrix
struct	triangular_solve_matrix< Scalar, Index, OnTheLeft, Mode, Conjugate, TriStorageOrder, ColMajor >
struct	triangular_solve_matrix< Scalar, Index, OnTheRight, Mode, Conjugate, TriStorageOrder, ColMajor >
struct	triangular_solve_matrix< Scalar, Index, Side, Mode, Conjugate, TriStorageOrder, RowMajor >
struct	triangular_solve_retval
struct	triangular_solve_vector
struct	triangular_solve_vector< LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Conjugate, ColMajor >
struct	triangular_solve_vector< LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Conjugate, RowMajor >
struct	triangular_solve_vector< LhsScalar, RhsScalar, Index, OnTheRight, Mode, Conjugate, StorageOrder >
struct	triangular_solver_selector
struct	triangular_solver_selector< Lhs, Rhs, OnTheLeft, Mode, CompleteUnrolling, 1 >
struct	triangular_solver_selector< Lhs, Rhs, OnTheRight, Mode, CompleteUnrolling, 1 >
struct	triangular_solver_selector< Lhs, Rhs, Side, Mode, NoUnrolling, 1 >
struct	triangular_solver_selector< Lhs, Rhs, Side, Mode, NoUnrolling, Dynamic >
struct	triangular_solver_unroller
struct	triangular_solver_unroller< Lhs, Rhs, Mode, LoopIndex, Size, false >
struct	triangular_solver_unroller< Lhs, Rhs, Mode, LoopIndex, Size, true >
struct	tribb_kernel
struct	tridiagonalization_inplace_selector
struct	tridiagonalization_inplace_selector< MatrixType, 1, IsComplex >
struct	tridiagonalization_inplace_selector< MatrixType, 3, false >
struct	TridiagonalizationMatrixTReturnType
class	TridiagonalMatrix
	Represents a tridiagonal matrix with a compact banded storage. More...
struct	TripletComp
struct	trmv_selector
struct	trmv_selector< Mode, ColMajor >
struct	trmv_selector< Mode, RowMajor >
class	trsolve_traits
struct	true_type
struct	type2val
struct	type_casting_traits
struct	type_casting_traits< double, float >
struct	type_casting_traits< float, double >
struct	type_casting_traits< float, int >
struct	type_casting_traits< int, float >
struct	type_list
struct	umeyama_transform_matrix_type
struct	unaligned_dense_assignment_loop
struct	unaligned_dense_assignment_loop< false >
struct	unary_evaluator
struct	unary_evaluator< ArrayWrapper< TArgType > >
struct	unary_evaluator< Block< ArgType, BlockRows, BlockCols, InnerPanel >, IndexBased >
struct	unary_evaluator< Block< ArgType, BlockRows, BlockCols, InnerPanel >, IteratorBased >
struct	unary_evaluator< Block< const SparseMatrix< _Scalar, _Options, _StorageIndex >, BlockRows, BlockCols, true >, IteratorBased >
struct	unary_evaluator< Block< SparseMatrix< _Scalar, _Options, _StorageIndex >, BlockRows, BlockCols, true >, IteratorBased >
struct	unary_evaluator< CwiseUnaryOp< UnaryOp, ArgType >, IndexBased >
struct	unary_evaluator< CwiseUnaryOp< UnaryOp, ArgType >, IteratorBased >
struct	unary_evaluator< CwiseUnaryView< UnaryOp, ArgType >, IndexBased >
struct	unary_evaluator< CwiseUnaryView< ViewOp, ArgType >, IteratorBased >
struct	unary_evaluator< Homogeneous< ArgType, Direction >, IndexBased >
struct	unary_evaluator< Inverse< ArgType > >
struct	unary_evaluator< MatrixWrapper< TArgType > >
struct	unary_evaluator< Replicate< ArgType, RowFactor, ColFactor > >
struct	unary_evaluator< Reverse< ArgType, Direction > >
struct	unary_evaluator< SparseView< ArgType >, IndexBased >
struct	unary_evaluator< SparseView< ArgType >, IteratorBased >
struct	unary_evaluator< SparseView< Product< Lhs, Rhs, Options > >, IteratorBased >
struct	unary_evaluator< Transpose< ArgType >, IndexBased >
struct	unary_evaluator< Transpose< ArgType >, IteratorBased >
struct	unary_evaluator< TriangularView< ArgType, Mode >, IteratorBased >
struct	unary_evaluator< TriangularView< MatrixType, Mode >, IndexBased >
struct	unary_result_of_select
struct	unary_result_of_select< Func, ArgType, sizeof(has_std_result_type)>
struct	unary_result_of_select< Func, ArgType, sizeof(has_tr1_result)>
class	UniformRandomGenerator
struct	unitOrthogonal_selector
struct	unitOrthogonal_selector< Derived, 2 >
struct	unitOrthogonal_selector< Derived, 3 >
struct	unpacket_traits
struct	unpacket_traits< DoublePacket< Packet > >
struct	unpacket_traits< Packet16f >
struct	unpacket_traits< Packet16i >
struct	unpacket_traits< Packet1cd >
struct	unpacket_traits< Packet2cd >
struct	unpacket_traits< Packet2cf >
struct	unpacket_traits< Packet2d >
struct	unpacket_traits< Packet4cf >
struct	unpacket_traits< Packet4d >
struct	unpacket_traits< Packet4f >
struct	unpacket_traits< Packet4i >
struct	unpacket_traits< Packet8d >
struct	unpacket_traits< Packet8f >
struct	unpacket_traits< Packet8i >
class	UpperBidiagonalization
class	variable_if_dynamic
class	variable_if_dynamic< T, Dynamic >
class	variable_if_dynamicindex
class	variable_if_dynamicindex< T, DynamicIndex >
struct	vector_int_pair
struct	vectorwise_reverse_inplace_impl
struct	vectorwise_reverse_inplace_impl< Horizontal >
struct	vectorwise_reverse_inplace_impl< Vertical >
class	visitor_evaluator
struct	visitor_impl
struct	visitor_impl< Visitor, Derived, 1 >
struct	visitor_impl< Visitor, Derived, Dynamic >
class	vml_assign_traits
struct	zeta_impl
struct	zeta_impl_series
struct	zeta_impl_series< double >
struct	zeta_impl_series< float >
struct	zeta_retval

Typedefs
typedef __vector float	Packet4f
typedef __vector int	Packet4i
typedef __vector unsigned int	Packet4ui
typedef __vector __bool int	Packet4bi
typedef __vector short int	Packet8i
typedef __vector unsigned char	Packet16uc
typedef __m256	Packet8f
typedef __m256d	Packet4d
typedef __m512	Packet16f
typedef __m512i	Packet16i
typedef __m512d	Packet8d
typedef float32x2_t	Packet2f
typedef int32x2_t	Packet2i
typedef __m128d	Packet2d
typedef __vector unsigned long long	Packet2ul
typedef __vector long long	Packet2l
typedef std::ptrdiff_t	IntPtr
typedef std::size_t	UIntPtr

Enumerations
enum	SignMatrix { PositiveSemiDef, NegativeSemiDef, ZeroSign, Indefinite }
enum	PermPermProduct_t { PermPermProduct }
enum	ComparisonName {   cmp_EQ = 0, cmp_LT = 1, cmp_LE = 2, cmp_UNORD = 3,   cmp_NEQ = 4, cmp_GT = 5, cmp_GE = 6 }
enum	{ SDP_AsScalarProduct, SDP_AsCwiseProduct }
enum	{ SVA_RuntimeSwitch, SVA_Inner, SVA_Outer }
enum	{ LUNoMarker = 3 }
enum	{ emptyIdxLU = -1 }
enum	MemType {   LUSUP, UCOL, LSUB, USUB,   LLVL, ULVL }
enum	{ PreconditionIfMoreColsThanRows, PreconditionIfMoreRowsThanCols }
enum	{ ShardByRow = 0, ShardByCol = 1 }
enum	{ Rhs = 0, Lhs = 1 }

Functions
template<>
EIGEN_STRONG_INLINE Packet2cf	pset1< Packet2cf > (const std::complex< float > &from)
template<>
EIGEN_STRONG_INLINE Packet2cf	pload< Packet2cf > (const std::complex< float > *from)
template<>
EIGEN_STRONG_INLINE Packet2cf	ploadu< Packet2cf > (const std::complex< float > *from)
template<>
EIGEN_STRONG_INLINE Packet2cf	ploaddup< Packet2cf > (const std::complex< float > *from)
template<>
EIGEN_STRONG_INLINE void	pstore< std::complex< float > > (std::complex< float > *to, const Packet2cf &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< std::complex< float > > (std::complex< float > *to, const Packet2cf &from)
template<>
EIGEN_DEVICE_FUNC Packet2cf	pgather< std::complex< float >, Packet2cf > (const std::complex< float > *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< std::complex< float >, Packet2cf > (std::complex< float > *to, const Packet2cf &from, Index stride)
template<>
EIGEN_STRONG_INLINE Packet2cf	padd< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	psub< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	pnegate (const Packet2cf &a)
template<>
EIGEN_STRONG_INLINE Packet2cf	pconj (const Packet2cf &a)
template<>
EIGEN_STRONG_INLINE Packet2cf	pmul< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	pand< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	por< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	pxor< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	pandnot< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE void	prefetch< std::complex< float > > (const std::complex< float > *addr)
template<>
EIGEN_STRONG_INLINE std::complex< float >	pfirst< Packet2cf > (const Packet2cf &a)
template<>
EIGEN_STRONG_INLINE Packet2cf	preverse (const Packet2cf &a)
template<>
EIGEN_STRONG_INLINE std::complex< float >	predux< Packet2cf > (const Packet2cf &a)
template<>
EIGEN_STRONG_INLINE Packet2cf	preduxp< Packet2cf > (const Packet2cf *vecs)
template<>
EIGEN_STRONG_INLINE std::complex< float >	predux_mul< Packet2cf > (const Packet2cf &a)
template<>
EIGEN_STRONG_INLINE Packet2cf	pdiv< Packet2cf > (const Packet2cf &a, const Packet2cf &b)
template<>
EIGEN_STRONG_INLINE Packet2cf	pcplxflip< Packet2cf > (const Packet2cf &x)
EIGEN_STRONG_INLINE void	ptranspose (PacketBlock< Packet2cf, 2 > &kernel)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	plog< Packet4f > (const Packet4f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	pexp< Packet4f > (const Packet4f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	prsqrt< Packet4f > (const Packet4f &x)
std::ostream &	operator<< (std::ostream &s, const Packet16uc &v)
std::ostream &	operator<< (std::ostream &s, const Packet4f &v)
std::ostream &	operator<< (std::ostream &s, const Packet4i &v)
std::ostream &	operator<< (std::ostream &s, const Packet4ui &v)
template<>
EIGEN_STRONG_INLINE Packet4f	pload< Packet4f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4i	pload< Packet4i > (const int *from)
template<>
EIGEN_STRONG_INLINE void	pstore< float > (float *to, const Packet4f &from)
template<>
EIGEN_STRONG_INLINE void	pstore< int > (int *to, const Packet4i &from)
template<>
EIGEN_STRONG_INLINE Packet4f	pset1< Packet4f > (const float &from)
template<>
EIGEN_STRONG_INLINE Packet4i	pset1< Packet4i > (const int &from)
template<>
EIGEN_STRONG_INLINE void	pbroadcast4< Packet4f > (const float *a, Packet4f &a0, Packet4f &a1, Packet4f &a2, Packet4f &a3)
template<>
EIGEN_STRONG_INLINE void	pbroadcast4< Packet4i > (const int *a, Packet4i &a0, Packet4i &a1, Packet4i &a2, Packet4i &a3)
template<>
EIGEN_DEVICE_FUNC Packet4f	pgather< float, Packet4f > (const float *from, Index stride)
template<>
EIGEN_DEVICE_FUNC Packet4i	pgather< int, Packet4i > (const int *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< float, Packet4f > (float *to, const Packet4f &from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< int, Packet4i > (int *to, const Packet4i &from, Index stride)
template<>
EIGEN_STRONG_INLINE Packet4f	plset< Packet4f > (const float &a)
template<>
EIGEN_STRONG_INLINE Packet4i	plset< Packet4i > (const int &a)
template<>
EIGEN_STRONG_INLINE Packet4f	padd< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	padd< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	psub< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	psub< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pnegate (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4i	pnegate (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pconj (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4i	pconj (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pmul< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pmul< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pdiv< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pdiv< Packet4i > (const Packet4i &, const Packet4i &)
template<>
EIGEN_STRONG_INLINE Packet4f	pmadd (const Packet4f &a, const Packet4f &b, const Packet4f &c)
template<>
EIGEN_STRONG_INLINE Packet4i	pmadd (const Packet4i &a, const Packet4i &b, const Packet4i &c)
template<>
EIGEN_STRONG_INLINE Packet4f	pmin< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pmin< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pmax< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pmax< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pand< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pand< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	por< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	por< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pxor< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pxor< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pandnot< Packet4f > (const Packet4f &a, const Packet4f &b)
template<>
EIGEN_STRONG_INLINE Packet4i	pandnot< Packet4i > (const Packet4i &a, const Packet4i &b)
template<>
EIGEN_STRONG_INLINE Packet4f	pround< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pceil< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pfloor< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4i	ploadu< Packet4i > (const int *from)
template<>
EIGEN_STRONG_INLINE Packet4f	ploadu< Packet4f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4f	ploaddup< Packet4f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4i	ploaddup< Packet4i > (const int *from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< int > (int *to, const Packet4i &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< float > (float *to, const Packet4f &from)
template<>
EIGEN_STRONG_INLINE void	prefetch< float > (const float *addr)
template<>
EIGEN_STRONG_INLINE void	prefetch< int > (const int *addr)
template<>
EIGEN_STRONG_INLINE float	pfirst< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE int	pfirst< Packet4i > (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet4f	preverse (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4i	preverse (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pabs (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4i	pabs (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE float	predux< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4f	preduxp< Packet4f > (const Packet4f *vecs)
template<>
EIGEN_STRONG_INLINE int	predux< Packet4i > (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet4i	preduxp< Packet4i > (const Packet4i *vecs)
template<>
EIGEN_STRONG_INLINE float	predux_mul< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE int	predux_mul< Packet4i > (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE float	predux_min< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE int	predux_min< Packet4i > (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE float	predux_max< Packet4f > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE int	predux_max< Packet4i > (const Packet4i &a)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet4f, 4 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet4i, 4 > &kernel)
template<>
EIGEN_STRONG_INLINE Packet4i	pblend (const Selector< 4 > &ifPacket, const Packet4i &thenPacket, const Packet4i &elsePacket)
template<>
EIGEN_STRONG_INLINE Packet4f	pblend (const Selector< 4 > &ifPacket, const Packet4f &thenPacket, const Packet4f &elsePacket)
template<>
EIGEN_STRONG_INLINE Packet4cf	padd< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	psub< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pnegate (const Packet4cf &a)
template<>
EIGEN_STRONG_INLINE Packet4cf	pconj (const Packet4cf &a)
template<>
EIGEN_STRONG_INLINE Packet4cf	pmul< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pand< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	por< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pxor< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pandnot< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pload< Packet4cf > (const std::complex< float > *from)
template<>
EIGEN_STRONG_INLINE Packet4cf	ploadu< Packet4cf > (const std::complex< float > *from)
template<>
EIGEN_STRONG_INLINE Packet4cf	pset1< Packet4cf > (const std::complex< float > &from)
template<>
EIGEN_STRONG_INLINE Packet4cf	ploaddup< Packet4cf > (const std::complex< float > *from)
template<>
EIGEN_STRONG_INLINE void	pstore< std::complex< float > > (std::complex< float > *to, const Packet4cf &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< std::complex< float > > (std::complex< float > *to, const Packet4cf &from)
template<>
EIGEN_DEVICE_FUNC Packet4cf	pgather< std::complex< float >, Packet4cf > (const std::complex< float > *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< std::complex< float >, Packet4cf > (std::complex< float > *to, const Packet4cf &from, Index stride)
template<>
EIGEN_STRONG_INLINE std::complex< float >	pfirst< Packet4cf > (const Packet4cf &a)
template<>
EIGEN_STRONG_INLINE Packet4cf	preverse (const Packet4cf &a)
template<>
EIGEN_STRONG_INLINE std::complex< float >	predux< Packet4cf > (const Packet4cf &a)
template<>
EIGEN_STRONG_INLINE Packet4cf	preduxp< Packet4cf > (const Packet4cf *vecs)
template<>
EIGEN_STRONG_INLINE std::complex< float >	predux_mul< Packet4cf > (const Packet4cf &a)
template<>
EIGEN_STRONG_INLINE Packet4cf	pdiv< Packet4cf > (const Packet4cf &a, const Packet4cf &b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pcplxflip< Packet4cf > (const Packet4cf &x)
template<>
EIGEN_STRONG_INLINE Packet2cd	padd< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	psub< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pnegate (const Packet2cd &a)
template<>
EIGEN_STRONG_INLINE Packet2cd	pconj (const Packet2cd &a)
template<>
EIGEN_STRONG_INLINE Packet2cd	pmul< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pand< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	por< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pxor< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pandnot< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pload< Packet2cd > (const std::complex< double > *from)
template<>
EIGEN_STRONG_INLINE Packet2cd	ploadu< Packet2cd > (const std::complex< double > *from)
template<>
EIGEN_STRONG_INLINE Packet2cd	pset1< Packet2cd > (const std::complex< double > &from)
template<>
EIGEN_STRONG_INLINE Packet2cd	ploaddup< Packet2cd > (const std::complex< double > *from)
template<>
EIGEN_STRONG_INLINE void	pstore< std::complex< double > > (std::complex< double > *to, const Packet2cd &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< std::complex< double > > (std::complex< double > *to, const Packet2cd &from)
template<>
EIGEN_DEVICE_FUNC Packet2cd	pgather< std::complex< double >, Packet2cd > (const std::complex< double > *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< std::complex< double >, Packet2cd > (std::complex< double > *to, const Packet2cd &from, Index stride)
template<>
EIGEN_STRONG_INLINE std::complex< double >	pfirst< Packet2cd > (const Packet2cd &a)
template<>
EIGEN_STRONG_INLINE Packet2cd	preverse (const Packet2cd &a)
template<>
EIGEN_STRONG_INLINE std::complex< double >	predux< Packet2cd > (const Packet2cd &a)
template<>
EIGEN_STRONG_INLINE Packet2cd	preduxp< Packet2cd > (const Packet2cd *vecs)
template<>
EIGEN_STRONG_INLINE std::complex< double >	predux_mul< Packet2cd > (const Packet2cd &a)
template<>
EIGEN_STRONG_INLINE Packet2cd	pdiv< Packet2cd > (const Packet2cd &a, const Packet2cd &b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pcplxflip< Packet2cd > (const Packet2cd &x)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet4cf, 4 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet2cd, 2 > &kernel)
template<>
EIGEN_STRONG_INLINE Packet4cf	pinsertfirst (const Packet4cf &a, std::complex< float > b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pinsertfirst (const Packet2cd &a, std::complex< double > b)
template<>
EIGEN_STRONG_INLINE Packet4cf	pinsertlast (const Packet4cf &a, std::complex< float > b)
template<>
EIGEN_STRONG_INLINE Packet2cd	pinsertlast (const Packet2cd &a, std::complex< double > b)
Packet8i	pshiftleft (Packet8i v, int n)
Packet8f	pshiftright (Packet8f v, int n)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f	psin< Packet8f > (const Packet8f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f	plog< Packet8f > (const Packet8f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f	pexp< Packet8f > (const Packet8f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f	ptanh< Packet8f > (const Packet8f &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4d	pexp< Packet4d > (const Packet4d &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f	psqrt< Packet8f > (const Packet8f &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4d	psqrt< Packet4d > (const Packet4d &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f	prsqrt< Packet8f > (const Packet8f &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4d	prsqrt< Packet4d > (const Packet4d &x)
template<>
EIGEN_STRONG_INLINE Packet8f	pset1< Packet8f > (const float &from)
template<>
EIGEN_STRONG_INLINE Packet4d	pset1< Packet4d > (const double &from)
template<>
EIGEN_STRONG_INLINE Packet8i	pset1< Packet8i > (const int &from)
template<>
EIGEN_STRONG_INLINE Packet8f	pload1< Packet8f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4d	pload1< Packet4d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet8f	plset< Packet8f > (const float &a)
template<>
EIGEN_STRONG_INLINE Packet4d	plset< Packet4d > (const double &a)
template<>
EIGEN_STRONG_INLINE Packet8f	padd< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	padd< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	psub< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	psub< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pnegate (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	pnegate (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pconj (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	pconj (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8i	pconj (const Packet8i &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pmul< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pmul< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pdiv< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pdiv< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8i	pdiv< Packet8i > (const Packet8i &, const Packet8i &)
template<>
EIGEN_STRONG_INLINE Packet8f	pmin< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pmin< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pmax< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pmax< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pround< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	pround< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pceil< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	pceil< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pfloor< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	pfloor< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pand< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pand< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	por< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	por< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pxor< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pxor< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pandnot< Packet8f > (const Packet8f &a, const Packet8f &b)
template<>
EIGEN_STRONG_INLINE Packet4d	pandnot< Packet4d > (const Packet4d &a, const Packet4d &b)
template<>
EIGEN_STRONG_INLINE Packet8f	pload< Packet8f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4d	pload< Packet4d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet8i	pload< Packet8i > (const int *from)
template<>
EIGEN_STRONG_INLINE Packet8f	ploadu< Packet8f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4d	ploadu< Packet4d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet8i	ploadu< Packet8i > (const int *from)
template<>
EIGEN_STRONG_INLINE Packet8f	ploaddup< Packet8f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4d	ploaddup< Packet4d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet8f	ploadquad< Packet8f > (const float *from)
template<>
EIGEN_STRONG_INLINE void	pstore< float > (float *to, const Packet8f &from)
template<>
EIGEN_STRONG_INLINE void	pstore< double > (double *to, const Packet4d &from)
template<>
EIGEN_STRONG_INLINE void	pstore< int > (int *to, const Packet8i &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< float > (float *to, const Packet8f &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< double > (double *to, const Packet4d &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< int > (int *to, const Packet8i &from)
template<>
EIGEN_DEVICE_FUNC Packet8f	pgather< float, Packet8f > (const float *from, Index stride)
template<>
EIGEN_DEVICE_FUNC Packet4d	pgather< double, Packet4d > (const double *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< float, Packet8f > (float *to, const Packet8f &from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< double, Packet4d > (double *to, const Packet4d &from, Index stride)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet8f > (float *to, const float &a)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet4d > (double *to, const double &a)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet8i > (int *to, const int &a)
template<>
EIGEN_STRONG_INLINE void	prefetch< double > (const double *addr)
template<>
EIGEN_STRONG_INLINE float	pfirst< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE double	pfirst< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE int	pfirst< Packet8i > (const Packet8i &a)
template<>
EIGEN_STRONG_INLINE Packet8f	preverse (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	preverse (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pabs (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	pabs (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	preduxp< Packet8f > (const Packet8f *vecs)
template<>
EIGEN_STRONG_INLINE Packet4d	preduxp< Packet4d > (const Packet4d *vecs)
template<>
EIGEN_STRONG_INLINE float	predux< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE double	predux< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE Packet4f	predux_downto4< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE float	predux_mul< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE double	predux_mul< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE float	predux_min< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE double	predux_min< Packet4d > (const Packet4d &a)
template<>
EIGEN_STRONG_INLINE float	predux_max< Packet8f > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE double	predux_max< Packet4d > (const Packet4d &a)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet8f, 8 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet8f, 4 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet4d, 4 > &kernel)
template<>
EIGEN_STRONG_INLINE Packet8f	pblend (const Selector< 8 > &ifPacket, const Packet8f &thenPacket, const Packet8f &elsePacket)
template<>
EIGEN_STRONG_INLINE Packet4d	pblend (const Selector< 4 > &ifPacket, const Packet4d &thenPacket, const Packet4d &elsePacket)
template<>
EIGEN_STRONG_INLINE Packet8f	pinsertfirst (const Packet8f &a, float b)
template<>
EIGEN_STRONG_INLINE Packet4d	pinsertfirst (const Packet4d &a, double b)
template<>
EIGEN_STRONG_INLINE Packet8f	pinsertlast (const Packet8f &a, float b)
template<>
EIGEN_STRONG_INLINE Packet4d	pinsertlast (const Packet4d &a, double b)
template<>
EIGEN_STRONG_INLINE Packet8i	pcast< Packet8f, Packet8i > (const Packet8f &a)
template<>
EIGEN_STRONG_INLINE Packet8f	pcast< Packet8i, Packet8f > (const Packet8i &a)
template<>
EIGEN_STRONG_INLINE Packet16f	pset1< Packet16f > (const float &from)
template<>
EIGEN_STRONG_INLINE Packet8d	pset1< Packet8d > (const double &from)
template<>
EIGEN_STRONG_INLINE Packet16i	pset1< Packet16i > (const int &from)
template<>
EIGEN_STRONG_INLINE Packet16f	pload1< Packet16f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet8d	pload1< Packet8d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet16f	plset< Packet16f > (const float &a)
template<>
EIGEN_STRONG_INLINE Packet8d	plset< Packet8d > (const double &a)
template<>
EIGEN_STRONG_INLINE Packet16f	padd< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	padd< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	psub< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	psub< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pnegate (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE Packet8d	pnegate (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE Packet16f	pconj (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE Packet8d	pconj (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE Packet16i	pconj (const Packet16i &a)
template<>
EIGEN_STRONG_INLINE Packet16f	pmul< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pmul< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pdiv< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pdiv< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pmin< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pmin< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pmax< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pmax< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pand< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pand< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	por< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	por< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pxor< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pxor< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pandnot< Packet16f > (const Packet16f &a, const Packet16f &b)
template<>
EIGEN_STRONG_INLINE Packet8d	pandnot< Packet8d > (const Packet8d &a, const Packet8d &b)
template<>
EIGEN_STRONG_INLINE Packet16f	pload< Packet16f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet8d	pload< Packet8d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet16i	pload< Packet16i > (const int *from)
template<>
EIGEN_STRONG_INLINE Packet16f	ploadu< Packet16f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet8d	ploadu< Packet8d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet16i	ploadu< Packet16i > (const int *from)
template<>
EIGEN_STRONG_INLINE Packet16f	ploaddup< Packet16f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet8d	ploaddup< Packet8d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet16f	ploadquad< Packet16f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet8d	ploadquad< Packet8d > (const double *from)
template<>
EIGEN_STRONG_INLINE void	pstore< float > (float *to, const Packet16f &from)
template<>
EIGEN_STRONG_INLINE void	pstore< double > (double *to, const Packet8d &from)
template<>
EIGEN_STRONG_INLINE void	pstore< int > (int *to, const Packet16i &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< float > (float *to, const Packet16f &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< double > (double *to, const Packet8d &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< int > (int *to, const Packet16i &from)
template<>
EIGEN_DEVICE_FUNC Packet16f	pgather< float, Packet16f > (const float *from, Index stride)
template<>
EIGEN_DEVICE_FUNC Packet8d	pgather< double, Packet8d > (const double *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< float, Packet16f > (float *to, const Packet16f &from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< double, Packet8d > (double *to, const Packet8d &from, Index stride)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet16f > (float *to, const float &a)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet8d > (double *to, const double &a)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet16i > (int *to, const int &a)
template<>
EIGEN_STRONG_INLINE float	pfirst< Packet16f > (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE double	pfirst< Packet8d > (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE int	pfirst< Packet16i > (const Packet16i &a)
template<>
EIGEN_STRONG_INLINE Packet16f	preverse (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE Packet8d	preverse (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE Packet16f	pabs (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE Packet8d	pabs (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE Packet16f	preduxp< Packet16f > (const Packet16f *vecs)
template<>
EIGEN_STRONG_INLINE Packet8d	preduxp< Packet8d > (const Packet8d *vecs)
template<>
EIGEN_STRONG_INLINE float	predux< Packet16f > (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE double	predux< Packet8d > (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE Packet8f	predux_downto4< Packet16f > (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE Packet4d	predux_downto4< Packet8d > (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE float	predux_mul< Packet16f > (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE double	predux_mul< Packet8d > (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE float	predux_min< Packet16f > (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE double	predux_min< Packet8d > (const Packet8d &a)
template<>
EIGEN_STRONG_INLINE float	predux_max< Packet16f > (const Packet16f &a)
template<>
EIGEN_STRONG_INLINE double	predux_max< Packet8d > (const Packet8d &a)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet16f, 16 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet16f, 4 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet8d, 4 > &kernel)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet8d, 8 > &kernel)
template<>
EIGEN_STRONG_INLINE Packet16f	pblend (const Selector< 16 > &, const Packet16f &, const Packet16f &)
template<>
EIGEN_STRONG_INLINE Packet8d	pblend (const Selector< 8 > &, const Packet8d &, const Packet8d &)
uint32x4_t	p4ui_CONJ_XOR ()
uint32x2_t	p2ui_CONJ_XOR ()
EIGEN_STRONG_INLINE Packet2cf	pcplxflip (const Packet2cf &x)
template<>
EIGEN_STRONG_INLINE Packet1cd	padd< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	psub< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pnegate (const Packet1cd &a)
template<>
EIGEN_STRONG_INLINE Packet1cd	pconj (const Packet1cd &a)
template<>
EIGEN_STRONG_INLINE Packet1cd	pmul< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pand< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	por< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pxor< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pandnot< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pload< Packet1cd > (const std::complex< double > *from)
template<>
EIGEN_STRONG_INLINE Packet1cd	ploadu< Packet1cd > (const std::complex< double > *from)
template<>
EIGEN_STRONG_INLINE Packet1cd	pset1< Packet1cd > (const std::complex< double > &from)
template<>
EIGEN_STRONG_INLINE Packet1cd	ploaddup< Packet1cd > (const std::complex< double > *from)
template<>
EIGEN_STRONG_INLINE void	pstore< std::complex< double > > (std::complex< double > *to, const Packet1cd &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< std::complex< double > > (std::complex< double > *to, const Packet1cd &from)
template<>
EIGEN_STRONG_INLINE void	prefetch< std::complex< double > > (const std::complex< double > *addr)
template<>
EIGEN_STRONG_INLINE std::complex< double >	pfirst< Packet1cd > (const Packet1cd &a)
template<>
EIGEN_STRONG_INLINE Packet1cd	preverse (const Packet1cd &a)
template<>
EIGEN_STRONG_INLINE std::complex< double >	predux< Packet1cd > (const Packet1cd &a)
template<>
EIGEN_STRONG_INLINE Packet1cd	preduxp< Packet1cd > (const Packet1cd *vecs)
template<>
EIGEN_STRONG_INLINE std::complex< double >	predux_mul< Packet1cd > (const Packet1cd &a)
template<>
EIGEN_STRONG_INLINE Packet1cd	pdiv< Packet1cd > (const Packet1cd &a, const Packet1cd &b)
EIGEN_STRONG_INLINE Packet1cd	pcplxflip (const Packet1cd &x)
template<>
EIGEN_STRONG_INLINE Packet2cf	pblend (const Selector< 2 > &ifPacket, const Packet2cf &thenPacket, const Packet2cf &elsePacket)
template<>
EIGEN_STRONG_INLINE Packet2cf	pinsertfirst (const Packet2cf &a, std::complex< float > b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pinsertfirst (const Packet1cd &, std::complex< double > b)
template<>
EIGEN_STRONG_INLINE Packet2cf	pinsertlast (const Packet2cf &a, std::complex< float > b)
template<>
EIGEN_STRONG_INLINE Packet1cd	pinsertlast (const Packet1cd &, std::complex< double > b)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet2d	pexp< Packet2d > (const Packet2d &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	psin< Packet4f > (const Packet4f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	pcos< Packet4f > (const Packet4f &_x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	psqrt< Packet4f > (const Packet4f &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet2d	psqrt< Packet2d > (const Packet2d &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet2d	prsqrt< Packet2d > (const Packet2d &x)
template<>
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f	ptanh< Packet4f > (const Packet4f &x)
template<>
EIGEN_STRONG_INLINE Packet2d	pset1< Packet2d > (const double &from)
template<>
EIGEN_STRONG_INLINE Packet2d	plset< Packet2d > (const double &a)
template<>
EIGEN_STRONG_INLINE Packet2d	padd< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	psub< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pnegate (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	pconj (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	pmul< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pdiv< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pmin< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pmax< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pand< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	por< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pxor< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pandnot< Packet2d > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pload< Packet2d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet2d	ploadu< Packet2d > (const double *from)
template<>
EIGEN_STRONG_INLINE Packet2d	ploaddup< Packet2d > (const double *from)
template<>
EIGEN_STRONG_INLINE void	pstore< double > (double *to, const Packet2d &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< double > (double *to, const Packet2d &from)
template<>
EIGEN_DEVICE_FUNC Packet2d	pgather< double, Packet2d > (const double *from, Index stride)
template<>
EIGEN_DEVICE_FUNC void	pscatter< double, Packet2d > (double *to, const Packet2d &from, Index stride)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet4f > (float *to, const float &a)
template<>
EIGEN_STRONG_INLINE void	pstore1< Packet2d > (double *to, const double &a)
template<>
EIGEN_STRONG_INLINE double	pfirst< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	preverse (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	pabs (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE void	pbroadcast4< Packet2d > (const double *a, Packet2d &a0, Packet2d &a1, Packet2d &a2, Packet2d &a3)
EIGEN_STRONG_INLINE void	punpackp (Packet4f *vecs)
template<>
EIGEN_STRONG_INLINE double	predux< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	preduxp< Packet2d > (const Packet2d *vecs)
template<>
EIGEN_STRONG_INLINE double	predux_mul< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE double	predux_min< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE double	predux_max< Packet2d > (const Packet2d &a)
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet2d, 2 > &kernel)
template<>
EIGEN_STRONG_INLINE Packet2d	pblend (const Selector< 2 > &ifPacket, const Packet2d &thenPacket, const Packet2d &elsePacket)
template<>
EIGEN_STRONG_INLINE Packet4f	pinsertfirst (const Packet4f &a, float b)
template<>
EIGEN_STRONG_INLINE Packet2d	pinsertfirst (const Packet2d &a, double b)
template<>
EIGEN_STRONG_INLINE Packet4f	pinsertlast (const Packet4f &a, float b)
template<>
EIGEN_STRONG_INLINE Packet2d	pinsertlast (const Packet2d &a, double b)
template<>
EIGEN_STRONG_INLINE Packet4i	pcast< Packet4f, Packet4i > (const Packet4f &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pcast< Packet4i, Packet4f > (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pcast< Packet2d, Packet4f > (const Packet2d &a, const Packet2d &b)
template<>
EIGEN_STRONG_INLINE Packet2d	pcast< Packet4f, Packet2d > (const Packet4f &a)
template<>
EIGEN_DEVICE_FUNC Packet1cd	pgather< std::complex< double >, Packet1cd > (const std::complex< double > *from, Index stride EIGEN_UNUSED)
template<>
EIGEN_DEVICE_FUNC void	pscatter< std::complex< double >, Packet1cd > (std::complex< double > *to, const Packet1cd &from, Index stride EIGEN_UNUSED)
EIGEN_STRONG_INLINE void	ptranspose (PacketBlock< Packet1cd, 2 > &kernel)
std::ostream &	operator<< (std::ostream &s, const Packet2l &v)
std::ostream &	operator<< (std::ostream &s, const Packet2ul &v)
std::ostream &	operator<< (std::ostream &s, const Packet2d &v)
template<int element>
EIGEN_STRONG_INLINE Packet4f	vec_splat_packet4f (const Packet4f &from)
template<>
EIGEN_STRONG_INLINE Packet2d	pmadd (const Packet2d &a, const Packet2d &b, const Packet2d &c)
template<>
EIGEN_STRONG_INLINE Packet2d	pround< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	pceil< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet2d	pfloor< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet4i	pabs< Packet4i > (const Packet4i &a)
template<>
EIGEN_STRONG_INLINE Packet2d	pabs< Packet2d > (const Packet2d &a)
template<>
EIGEN_STRONG_INLINE Packet4f	pabs< Packet4f > (const Packet4f &a)
template<typename DstXprType , typename SrcXprType , typename Functor >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_dense_assignment_loop (DstXprType &dst, const SrcXprType &src, const Functor &func)
template<typename DstXprType , typename SrcXprType >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_dense_assignment_loop (DstXprType &dst, const SrcXprType &src)
template<typename Dst , typename Src >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment (Dst &dst, const Src &src)
template<typename Dst , typename Src >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment (const Dst &dst, const Src &src)
template<typename Dst , typename Src , typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment (Dst &dst, const Src &src, const Func &func, typename enable_if< evaluator_assume_aliasing< Src >::value, void *>::type=0)
template<typename Dst , typename Src , typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment (Dst &dst, const Src &src, const Func &func, typename enable_if<!evaluator_assume_aliasing< Src >::value, void *>::type=0)
template<typename Dst , template< typename > class StorageBase, typename Src , typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment (NoAlias< Dst, StorageBase > &dst, const Src &src, const Func &func)
template<typename Dst , typename Src , typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment_no_alias (Dst &dst, const Src &src, const Func &func)
template<typename Dst , typename Src >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment_no_alias (Dst &dst, const Src &src)
template<typename Dst , typename Src , typename Func >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment_no_alias_no_transpose (Dst &dst, const Src &src, const Func &func)
template<typename Dst , typename Src >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_assignment_no_alias_no_transpose (Dst &dst, const Src &src)
template<typename Dst , typename Src >
void	check_for_aliasing (const Dst &dst, const Src &src)
template<typename Decomposition >
Decomposition::RealScalar	rcond_invmatrix_L1_norm_estimate (const Decomposition &dec)
template<typename Decomposition >
Decomposition::RealScalar	rcond_estimate_helper (typename Decomposition::RealScalar matrix_norm, const Decomposition &dec)
	Reciprocal condition number estimator. More...
template<typename T , int Size>
EIGEN_DEVICE_FUNC void	check_static_allocation_size ()
template<typename SrcPacket , typename TgtPacket >
EIGEN_DEVICE_FUNC TgtPacket	pcast (const SrcPacket &a)
template<typename SrcPacket , typename TgtPacket >
EIGEN_DEVICE_FUNC TgtPacket	pcast (const SrcPacket &a, const SrcPacket &)
template<typename SrcPacket , typename TgtPacket >
EIGEN_DEVICE_FUNC TgtPacket	pcast (const SrcPacket &a, const SrcPacket &, const SrcPacket &, const SrcPacket &)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	padd (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	psub (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pnegate (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pconj (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pmul (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pdiv (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pmin (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pmax (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pabs (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	parg (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pand (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	por (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pxor (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pandnot (const Packet &a, const Packet &b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pload (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	ploadu (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pset1 (const typename unpacket_traits< Packet >::type &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pload1 (const typename unpacket_traits< Packet >::type *a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	ploaddup (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	ploadquad (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
EIGEN_DEVICE_FUNC void	pbroadcast4 (const typename unpacket_traits< Packet >::type *a, Packet &a0, Packet &a1, Packet &a2, Packet &a3)
template<typename Packet >
EIGEN_DEVICE_FUNC void	pbroadcast2 (const typename unpacket_traits< Packet >::type *a, Packet &a0, Packet &a1)
template<typename Packet >
Packet	plset (const typename unpacket_traits< Packet >::type &a)
template<typename Scalar , typename Packet >
EIGEN_DEVICE_FUNC void	pstore (Scalar *to, const Packet &from)
template<typename Scalar , typename Packet >
EIGEN_DEVICE_FUNC void	pstoreu (Scalar *to, const Packet &from)
template<typename Scalar , typename Packet >
EIGEN_DEVICE_FUNC Packet	pgather (const Scalar *from, Index)
template<typename Scalar , typename Packet >
EIGEN_DEVICE_FUNC void	pscatter (Scalar *to, const Packet &from, Index)
template<typename Scalar >
EIGEN_DEVICE_FUNC void	prefetch (const Scalar *addr)
template<typename Packet >
EIGEN_DEVICE_FUNC unpacket_traits< Packet >::type	pfirst (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	preduxp (const Packet *vecs)
template<typename Packet >
EIGEN_DEVICE_FUNC unpacket_traits< Packet >::type	predux (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC conditional<(unpacket_traits< Packet >::size%8)==0, typename unpacket_traits< Packet >::half, Packet >::type	predux_downto4 (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC unpacket_traits< Packet >::type	predux_mul (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC unpacket_traits< Packet >::type	predux_min (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC unpacket_traits< Packet >::type	predux_max (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	preverse (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pcplxflip (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	psin (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pcos (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	ptan (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pasin (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pacos (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	patan (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	psinh (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pcosh (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	ptanh (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pexp (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	plog (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	plog1p (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	plog10 (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	psqrt (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	prsqrt (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pround (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pfloor (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pceil (const Packet &a)
template<typename Packet >
void	pstore1 (typename unpacket_traits< Packet >::type *to, const typename unpacket_traits< Packet >::type &a)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pmadd (const Packet &a, const Packet &b, const Packet &c)
template<typename Packet , int Alignment>
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE Packet	ploadt (const typename unpacket_traits< Packet >::type *from)
template<typename Scalar , typename Packet , int Alignment>
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE void	pstoret (Scalar *to, const Packet &from)
template<typename Packet , int LoadMode>
Packet	ploadt_ro (const typename unpacket_traits< Packet >::type *from)
template<int Offset, typename PacketType >
void	palign (PacketType &first, const PacketType &second)
template<>
std::complex< float >	pmul (const std::complex< float > &a, const std::complex< float > &b)
template<>
std::complex< double >	pmul (const std::complex< double > &a, const std::complex< double > &b)
template<typename Packet >
EIGEN_DEVICE_FUNC void	ptranspose (PacketBlock< Packet, 1 > &)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pblend (const Selector< unpacket_traits< Packet >::size > &ifPacket, const Packet &thenPacket, const Packet &elsePacket)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pinsertfirst (const Packet &a, typename unpacket_traits< Packet >::type b)
template<typename Packet >
EIGEN_DEVICE_FUNC Packet	pinsertlast (const Packet &a, typename unpacket_traits< Packet >::type b)
template<typename Derived >
std::ostream &	print_matrix (std::ostream &s, const Derived &_m, const IOFormat &fmt)
template<typename T >
T	generic_fast_tanh_float (const T &a_x)
	EIGEN_CATCH_ASSIGN_XPR_OP_PRODUCT (assign_op, scalar_sum_op, add_assign_op)
	EIGEN_CATCH_ASSIGN_XPR_OP_PRODUCT (add_assign_op, scalar_sum_op, add_assign_op)
	EIGEN_CATCH_ASSIGN_XPR_OP_PRODUCT (sub_assign_op, scalar_sum_op, sub_assign_op)
	EIGEN_CATCH_ASSIGN_XPR_OP_PRODUCT (assign_op, scalar_difference_op, sub_assign_op)
	EIGEN_CATCH_ASSIGN_XPR_OP_PRODUCT (add_assign_op, scalar_difference_op, sub_assign_op)
	EIGEN_CATCH_ASSIGN_XPR_OP_PRODUCT (sub_assign_op, scalar_difference_op, add_assign_op)
template<typename Dst , typename Lhs , typename Rhs , typename Func >
void	outer_product_selector_run (Dst &dst, const Lhs &lhs, const Rhs &rhs, const Func &func, const false_type &)
template<typename Dst , typename Lhs , typename Rhs , typename Func >
void	outer_product_selector_run (Dst &dst, const Lhs &lhs, const Rhs &rhs, const Func &func, const true_type &)
std::ptrdiff_t	manage_caching_sizes_helper (std::ptrdiff_t a, std::ptrdiff_t b)
void	manage_caching_sizes (Action action, std::ptrdiff_t *l1, std::ptrdiff_t *l2, std::ptrdiff_t *l3)
template<typename LhsScalar , typename RhsScalar , int KcFactor, typename Index >
void	evaluateProductBlockingSizesHeuristic (Index &k, Index &m, Index &n, Index num_threads=1)
template<typename Index >
bool	useSpecificBlockingSizes (Index &k, Index &m, Index &n)
template<typename LhsScalar , typename RhsScalar , int KcFactor, typename Index >
void	computeProductBlockingSizes (Index &k, Index &m, Index &n, Index num_threads=1)
	Computes the blocking parameters for a m x k times k x n matrix product. More...
template<typename LhsScalar , typename RhsScalar , typename Index >
void	computeProductBlockingSizes (Index &k, Index &m, Index &n, Index num_threads=1)
template<typename CJ , typename A , typename B , typename C , typename T >
EIGEN_STRONG_INLINE void	gebp_madd (const CJ &cj, A &a, B &b, C &c, T &t)
template<typename Packet >
DoublePacket< Packet >	padd (const DoublePacket< Packet > &a, const DoublePacket< Packet > &b)
template<typename Packet >
const DoublePacket< Packet > &	predux_downto4 (const DoublePacket< Packet > &a)
void	manage_multi_threading (Action action, int *v)
template<bool Condition, typename Functor , typename Index >
void	parallelize_gemm (const Functor &func, Index rows, Index cols, Index depth, bool transpose)
template<typename ExpressionType , typename Scalar >
void	stable_norm_kernel (const ExpressionType &bl, Scalar &ssq, Scalar &scale, Scalar &invScale)
template<typename Derived >
NumTraits< typename traits< Derived >::Scalar >::Real	blueNorm_impl (const EigenBase< Derived > &_vec)
template<int Mode, bool SetOpposite, typename DstXprType , typename SrcXprType , typename Functor >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_triangular_assignment_loop (DstXprType &dst, const SrcXprType &src, const Functor &func)
template<int Mode, bool SetOpposite, typename DstXprType , typename SrcXprType >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void	call_triangular_assignment_loop (DstXprType &dst, const SrcXprType &src)
template<typename T >
const T::Scalar *	extract_data (const T &m)
bool	copy_bool (bool b)
template<typename T >
EIGEN_DEVICE_FUNC void	ignore_unused_variable (const T &)
EIGEN_DEVICE_FUNC void	throw_std_bad_alloc ()
void *	handmade_aligned_malloc (std::size_t size)
void	handmade_aligned_free (void *ptr)
void *	handmade_aligned_realloc (void *ptr, std::size_t size, std::size_t=0)
EIGEN_DEVICE_FUNC void	check_that_malloc_is_allowed ()
EIGEN_DEVICE_FUNC void *	aligned_malloc (size_t size)
EIGEN_DEVICE_FUNC void	aligned_free (void *ptr)
void *	aligned_realloc (void *ptr, size_t new_size, size_t old_size)
template<bool Align>
EIGEN_DEVICE_FUNC void *	conditional_aligned_malloc (size_t size)
template<>
EIGEN_DEVICE_FUNC void *	conditional_aligned_malloc< false > (size_t size)
template<bool Align>
EIGEN_DEVICE_FUNC void	conditional_aligned_free (void *ptr)
template<>
EIGEN_DEVICE_FUNC void	conditional_aligned_free< false > (void *ptr)
template<bool Align>
void *	conditional_aligned_realloc (void *ptr, size_t new_size, size_t old_size)
template<>
void *	conditional_aligned_realloc< false > (void *ptr, size_t new_size, size_t)
template<typename T >
EIGEN_DEVICE_FUNC void	destruct_elements_of_array (T *ptr, size_t size)
template<typename T >
EIGEN_DEVICE_FUNC T *	construct_elements_of_array (T *ptr, size_t size)
template<typename T >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE void	check_size_for_overflow (size_t size)
template<typename T >
EIGEN_DEVICE_FUNC T *	aligned_new (size_t size)
template<typename T , bool Align>
EIGEN_DEVICE_FUNC T *	conditional_aligned_new (size_t size)
template<typename T >
EIGEN_DEVICE_FUNC void	aligned_delete (T *ptr, size_t size)
template<typename T , bool Align>
EIGEN_DEVICE_FUNC void	conditional_aligned_delete (T *ptr, size_t size)
template<typename T , bool Align>
EIGEN_DEVICE_FUNC T *	conditional_aligned_realloc_new (T *pts, size_t new_size, size_t old_size)
template<typename T , bool Align>
EIGEN_DEVICE_FUNC T *	conditional_aligned_new_auto (size_t size)
template<typename T , bool Align>
T *	conditional_aligned_realloc_new_auto (T *pts, size_t new_size, size_t old_size)
template<typename T , bool Align>
EIGEN_DEVICE_FUNC void	conditional_aligned_delete_auto (T *ptr, size_t size)
template<int Alignment, typename Scalar , typename Index >
EIGEN_DEVICE_FUNC Index	first_aligned (const Scalar *array, Index size)
template<typename Scalar , typename Index >
EIGEN_DEVICE_FUNC Index	first_default_aligned (const Scalar *array, Index size)
template<typename Index >
Index	first_multiple (Index size, Index base)
template<typename T >
EIGEN_DEVICE_FUNC void	smart_copy (const T *start, const T *end, T *target)
template<typename T >
void	smart_memmove (const T *start, const T *end, T *target)
template<typename T >
void	swap (scoped_array< T > &a, scoped_array< T > &b)
void	queryCacheSizes (int &l1, int &l2, int &l3)
int	queryL1CacheSize ()
int	queryTopLevelCacheSize ()
template<typename T >
const T *	return_ptr ()
template<typename IndexDest , typename IndexSrc >
EIGEN_DEVICE_FUNC IndexDest	convert_index (const IndexSrc &idx)
template<typename T >
EIGEN_DEVICE_FUNC T *	const_cast_ptr (const T *ptr)
template<typename T1 , typename T2 >
bool	is_same_dense (const T1 &mat1, const T2 &mat2, typename enable_if< has_direct_access< T1 >::ret &&has_direct_access< T2 >::ret, T1 >::type *=0)
template<typename T1 , typename T2 >
bool	is_same_dense (const T1 &, const T2 &, typename enable_if<!(has_direct_access< T1 >::ret &&has_direct_access< T2 >::ret), T1 >::type *=0)
	EIGEN_MEMBER_FUNCTOR (squaredNorm, Size *NumTraits< Scalar >::MulCost+(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (norm,(Size+5) *NumTraits< Scalar >::MulCost+(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (stableNorm,(Size+5) *NumTraits< Scalar >::MulCost+(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (blueNorm,(Size+5) *NumTraits< Scalar >::MulCost+(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (hypotNorm,(Size-1) *functor_traits< scalar_hypot_op< Scalar > >::Cost)
	EIGEN_MEMBER_FUNCTOR (sum,(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (mean,(Size-1) *NumTraits< Scalar >::AddCost+NumTraits< Scalar >::MulCost)
	EIGEN_MEMBER_FUNCTOR (minCoeff,(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (maxCoeff,(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (all,(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (any,(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (count,(Size-1) *NumTraits< Scalar >::AddCost)
	EIGEN_MEMBER_FUNCTOR (prod,(Size-1) *NumTraits< Scalar >::MulCost)
template<typename MatrixType , typename DiagType , typename SubDiagType >
ComputationInfo	computeFromTridiagonal_impl (DiagType &diag, SubDiagType &subdiag, const Index maxIterations, bool computeEigenvectors, MatrixType &eivec)
template<typename MatrixType , typename CoeffVectorType >
void	tridiagonalization_inplace (MatrixType &matA, CoeffVectorType &hCoeffs)
template<typename MatrixType , typename DiagonalType , typename SubDiagonalType >
void	tridiagonalization_inplace (MatrixType &mat, DiagonalType &diag, SubDiagonalType &subdiag, bool extractQ)
	Performs a full tridiagonalization in place. More...
template<typename TriangularFactorType , typename VectorsType , typename CoeffsType >
void	make_block_householder_triangular_factor (TriangularFactorType &triFactor, const VectorsType &vectors, const CoeffsType &hCoeffs)
template<typename MatrixType , typename VectorsType , typename CoeffsType >
void	apply_block_householder_on_the_left (MatrixType &mat, const VectorsType &vectors, const CoeffsType &hCoeffs, bool forward)
template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >
bool	bicgstab (const MatrixType &mat, const Rhs &rhs, Dest &x, const Preconditioner &precond, Index &iters, typename Dest::RealScalar &tol_error)
template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >
EIGEN_DONT_INLINE void	conjugate_gradient (const MatrixType &mat, const Rhs &rhs, Dest &x, const Preconditioner &precond, Index &iters, typename Dest::RealScalar &tol_error)
template<typename VectorV , typename VectorI >
Index	QuickSplit (VectorV &row, VectorI &ind, Index ncut)
template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >
EIGEN_DONT_INLINE void	least_square_conjugate_gradient (const MatrixType &mat, const Rhs &rhs, Dest &x, const Preconditioner &precond, Index &iters, typename Dest::RealScalar &tol_error)
template<typename VectorX , typename VectorY , typename OtherScalar >
void	apply_rotation_in_the_plane (DenseBase< VectorX > &xpr_x, DenseBase< VectorY > &xpr_y, const JacobiRotation< OtherScalar > &j)
	Applies the clock wise 2D rotation j to the set of 2D vectors of cordinates x and y: \( \left ( \begin{array}{cc} x \\ y \end{array} \right ) = J \left ( \begin{array}{cc} x \\ y \end{array} \right ) \) More...
template<typename Derived >
const Derived::Scalar	bruteforce_det3_helper (const MatrixBase< Derived > &matrix, int a, int b, int c)
template<typename Derived >
const Derived::Scalar	bruteforce_det4_helper (const MatrixBase< Derived > &matrix, int j, int k, int m, int n)
template<typename MatrixType , typename ResultType >
EIGEN_DEVICE_FUNC void	compute_inverse_size2_helper (const MatrixType &matrix, const typename ResultType::Scalar &invdet, ResultType &result)
template<typename MatrixType , int i, int j>
EIGEN_DEVICE_FUNC MatrixType::Scalar	cofactor_3x3 (const MatrixType &m)
template<typename MatrixType , typename ResultType >
EIGEN_DEVICE_FUNC void	compute_inverse_size3_helper (const MatrixType &matrix, const typename ResultType::Scalar &invdet, const Matrix< typename ResultType::Scalar, 3, 1 > &cofactors_col0, ResultType &result)
template<typename Derived >
EIGEN_DEVICE_FUNC const Derived::Scalar	general_det3_helper (const MatrixBase< Derived > &matrix, int i1, int i2, int i3, int j1, int j2, int j3)
template<typename MatrixType , int i, int j>
EIGEN_DEVICE_FUNC MatrixType::Scalar	cofactor_4x4 (const MatrixType &matrix)
template<typename MatrixType , typename TranspositionType >
void	partial_lu_inplace (MatrixType &lu, TranspositionType &row_transpositions, typename TranspositionType::StorageIndex &nb_transpositions)
template<typename MatrixType , typename RealScalar , typename Index >
void	real_2x2_jacobi_svd (const MatrixType &matrix, Index p, Index q, JacobiRotation< RealScalar > *j_left, JacobiRotation< RealScalar > *j_right)
template<typename T >
T	amd_flip (const T &i)
template<typename T >
T	amd_unflip (const T &i)
template<typename T0 , typename T1 >
bool	amd_marked (const T0 *w, const T1 &j)
template<typename T0 , typename T1 >
void	amd_mark (const T0 *w, const T1 &j)
template<typename StorageIndex >
StorageIndex	cs_tdfs (StorageIndex j, StorageIndex k, StorageIndex *head, const StorageIndex *next, StorageIndex *post, StorageIndex *stack)
template<typename Scalar , typename StorageIndex >
void	minimum_degree_ordering (SparseMatrix< Scalar, ColMajor, StorageIndex > &C, PermutationMatrix< Dynamic, Dynamic, StorageIndex > &perm)
template<typename IndexType >
IndexType	colamd_c (IndexType n_col)
template<typename IndexType >
IndexType	colamd_r (IndexType n_row)
template<typename IndexType >
IndexType	colamd_recommended (IndexType nnz, IndexType n_row, IndexType n_col)
	Returns the recommended value of Alen. More...
template<typename MatrixType >
void	ordering_helper_at_plus_a (const MatrixType &A, MatrixType &symmat)
void	eigen_pastix (pastix_data_t **pastix_data, int pastix_comm, int n, int *ptr, int *idx, float *vals, int *perm, int *invp, float *x, int nbrhs, int *iparm, double *dparm)
void	eigen_pastix (pastix_data_t **pastix_data, int pastix_comm, int n, int *ptr, int *idx, double *vals, int *perm, int *invp, double *x, int nbrhs, int *iparm, double *dparm)
void	eigen_pastix (pastix_data_t **pastix_data, int pastix_comm, int n, int *ptr, int *idx, std::complex< float > *vals, int *perm, int *invp, std::complex< float > *x, int nbrhs, int *iparm, double *dparm)
void	eigen_pastix (pastix_data_t **pastix_data, int pastix_comm, int n, int *ptr, int *idx, std::complex< double > *vals, int *perm, int *invp, std::complex< double > *x, int nbrhs, int *iparm, double *dparm)
template<typename MatrixType >
void	c_to_fortran_numbering (MatrixType &mat)
template<typename MatrixType >
void	fortran_to_c_numbering (MatrixType &mat)
template<typename MatrixQR , typename HCoeffs >
void	householder_qr_inplace_unblocked (MatrixQR &mat, HCoeffs &hCoeffs, typename MatrixQR::Scalar *tempData=0)
template<typename DstXprType , typename SrcXprType >
void	assign_sparse_to_sparse (DstXprType &dst, const SrcXprType &src)
template<typename Index , typename IndexVector >
Index	etree_find (Index i, IndexVector &pp)
	Find the root of the tree/set containing the vertex i : Use Path halving.
template<typename MatrixType , typename IndexVector >
int	coletree (const MatrixType &mat, IndexVector &parent, IndexVector &firstRowElt, typename MatrixType::StorageIndex *perm=0)
	Compute the column elimination tree of a sparse matrix. More...
template<typename IndexVector >
void	nr_etdfs (typename IndexVector::Scalar n, IndexVector &parent, IndexVector &first_kid, IndexVector &next_kid, IndexVector &post, typename IndexVector::Scalar postnum)
	Depth-first search from vertex n. More...
template<typename IndexVector >
void	treePostorder (typename IndexVector::Scalar n, IndexVector &parent, IndexVector &post)
	Post order a tree. More...
template<typename SparseLhsType , typename DenseRhsType , typename DenseResType , typename AlphaType >
void	sparse_time_dense_product (const SparseLhsType &lhs, const DenseRhsType &rhs, DenseResType &res, const AlphaType &alpha)
template<typename InputIterator , typename SparseMatrixType , typename DupFunctor >
void	set_from_triplets (const InputIterator &begin, const InputIterator &end, SparseMatrixType &mat, DupFunctor dup_func)
template<int SrcMode, int DstMode, typename MatrixType , int DestOrder>
void	permute_symm_to_symm (const MatrixType &mat, SparseMatrix< typename MatrixType::Scalar, DestOrder, typename MatrixType::StorageIndex > &_dest, const typename MatrixType::StorageIndex *perm=0)
template<int Mode, typename MatrixType , int DestOrder>
void	permute_symm_to_fullsymm (const MatrixType &mat, SparseMatrix< typename MatrixType::Scalar, DestOrder, typename MatrixType::StorageIndex > &_dest, const typename MatrixType::StorageIndex *perm=0)
template<int Mode, typename SparseLhsType , typename DenseRhsType , typename DenseResType , typename AlphaType >
void	sparse_selfadjoint_time_dense_product (const SparseLhsType &lhs, const DenseRhsType &rhs, DenseResType &res, const AlphaType &alpha)
template<int _SrcMode, int _DstMode, typename MatrixType , int DstOrder>
void	permute_symm_to_symm (const MatrixType &mat, SparseMatrix< typename MatrixType::Scalar, DstOrder, typename MatrixType::StorageIndex > &_dest, const typename MatrixType::StorageIndex *perm)
template<typename Decomposition , typename Rhs , typename Dest >
enable_if< Rhs::ColsAtCompileTime!=1 &&Dest::ColsAtCompileTime!=1 >::type	solve_sparse_through_dense_panels (const Decomposition &dec, const Rhs &rhs, Dest &dest)
template<typename Decomposition , typename Rhs , typename Dest >
enable_if< Rhs::ColsAtCompileTime==1||Dest::ColsAtCompileTime==1 >::type	solve_sparse_through_dense_panels (const Decomposition &dec, const Rhs &rhs, Dest &dest)
template<typename Scalar >
EIGEN_DONT_INLINE void	sparselu_gemm (Index m, Index n, Index d, const Scalar *A, Index lda, const Scalar *B, Index ldb, Scalar *C, Index ldc)
Index	LUnumTempV (Index &m, Index &w, Index &t, Index &b)
template<typename Scalar >
Index	LUTempSpace (Index &m, Index &w)
template<typename MatrixType >
SluMatrix	asSluMatrix (MatrixType &mat)
template<typename Scalar , int Flags, typename Index >
MappedSparseMatrix< Scalar, Flags, Index >	map_superlu (SluMatrix &sluMat)
	View a Super LU matrix as an Eigen expression.
template<typename MatrixType >
void	upperbidiagonalization_inplace_unblocked (MatrixType &mat, typename MatrixType::RealScalar *diagonal, typename MatrixType::RealScalar *upper_diagonal, typename MatrixType::Scalar *tempData=0)
template<typename MatrixType >
void	upperbidiagonalization_blocked_helper (MatrixType &A, typename MatrixType::RealScalar *diagonal, typename MatrixType::RealScalar *upper_diagonal, Index bs, Ref< Matrix< typename MatrixType::Scalar, Dynamic, Dynamic, traits< MatrixType >::Flags &RowMajorBit > > X, Ref< Matrix< typename MatrixType::Scalar, Dynamic, Dynamic, traits< MatrixType >::Flags &RowMajorBit > > Y)
template<typename MatrixType , typename BidiagType >
void	upperbidiagonalization_inplace_blocked (MatrixType &A, BidiagType &bidiagonal, Index maxBlockSize=32, typename MatrixType::Scalar *=0)
template<typename Dst , template< typename > class StorageBase, typename Src , typename Func >
EIGEN_DEVICE_FUNC void	call_assignment (const NoAlias< Dst, StorageBase > &dst, const Src &src, const Func &func)
template<typename T >
T	negate (const T &x)
template<DenseIndex n, typename Index , std::size_t Rank>
const Index	array_get (DimensionList< Index, Rank > &)
template<DenseIndex n, typename Index , std::size_t Rank>
const Index	array_get (const DimensionList< Index, Rank > &)
template<typename std::ptrdiff_t... Indices>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t	array_prod (const Sizes< Indices... > &)
template<std::ptrdiff_t n, typename std::ptrdiff_t... Indices>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t	array_get (const Sizes< Indices... > &)
template<std::ptrdiff_t n>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t	array_get (const Sizes<> &)
template<typename T >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T	RandomToTypeUniform (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half	RandomToTypeUniform< Eigen::half > (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float	RandomToTypeUniform< float > (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double	RandomToTypeUniform< double > (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::complex< float >	RandomToTypeUniform< std::complex< float > > (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::complex< double >	RandomToTypeUniform< std::complex< double > > (uint64_t *state)
template<typename T >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T	RandomToTypeNormal (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::complex< float >	RandomToTypeNormal< std::complex< float > > (uint64_t *state)
template<>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::complex< double >	RandomToTypeNormal< std::complex< double > > (uint64_t *state)
template<typename HL , typename LL , typename HR , typename LR >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool	operator== (const TensorUInt128< HL, LL > &lhs, const TensorUInt128< HR, LR > &rhs)
template<typename HL , typename LL , typename HR , typename LR >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool	operator!= (const TensorUInt128< HL, LL > &lhs, const TensorUInt128< HR, LR > &rhs)
template<typename HL , typename LL , typename HR , typename LR >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool	operator>= (const TensorUInt128< HL, LL > &lhs, const TensorUInt128< HR, LR > &rhs)
template<typename HL , typename LL , typename HR , typename LR >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool	operator< (const TensorUInt128< HL, LL > &lhs, const TensorUInt128< HR, LR > &rhs)
template<typename HL , typename LL , typename HR , typename LR >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE TensorUInt128< uint64_t, uint64_t >	operator+ (const TensorUInt128< HL, LL > &lhs, const TensorUInt128< HR, LR > &rhs)
template<typename HL , typename LL , typename HR , typename LR >
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE TensorUInt128< uint64_t, uint64_t >	operator- (const TensorUInt128< HL, LL > &lhs, const TensorUInt128< HR, LR > &rhs)
template<std::size_t I, class T >
constexpr T &	array_get (std::vector< T > &a)
template<std::size_t I, class T >
constexpr T &&	array_get (std::vector< T > &&a)
template<std::size_t I, class T >
constexpr T const &	array_get (std::vector< T > const &a)
template<std::size_t I, class T , std::size_t N>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T &	array_get (array< T, N > &a)
template<std::size_t I, class T , std::size_t N>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const T &	array_get (const array< T, N > &a)
template<int n, typename t >
array< t, n >	repeat (t v)
template<std::size_t I, class Head , class Tail >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Head::type	array_get (type_list< Head, Tail > &)
template<std::size_t I, class Head , class Tail >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Head::type	array_get (const type_list< Head, Tail > &)
template<class NList >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE NList::HeadType::type	array_prod (const NList &)
template<typename t , std::size_t n>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE t	array_prod (const array< t, n > &a)
template<typename t >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE t	array_prod (const array< t, 0 > &)
template<typename t >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE t	array_prod (const std::vector< t > &a)
template<std::size_t I, class T >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T &	array_get (std::vector< T > &a)
template<std::size_t I, class T >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const T &	array_get (const std::vector< T > &a)
template<typename Reducer , typename Op , typename A , std::size_t N>
bool	array_apply_and_reduce (const array< A, N > &a)
template<typename Reducer , typename Op , typename A , typename B , std::size_t N>
bool	array_zip_and_reduce (const array< A, N > &a, const array< B, N > &b)
template<typename A , typename B >
void	make_coherent (const A &a, const B &b)
template<typename BVH , typename Intersector >
bool	intersect_helper (const BVH &tree, Intersector &intersector, typename BVH::Index root)
template<typename BVH , typename Minimizer >
Minimizer::Scalar	minimize_helper (const BVH &tree, Minimizer &minimizer, typename BVH::Index root, typename Minimizer::Scalar minimum)
template<typename T >
T *	fftw_cast (const T *p)
fftw_complex *	fftw_cast (const std::complex< double > *p)
fftwf_complex *	fftw_cast (const std::complex< float > *p)
fftwl_complex *	fftw_cast (const std::complex< long double > *p)
template<typename CMatrix , typename CINVMatrix >
void	pseudo_inverse (const CMatrix &C, CINVMatrix &CINV)
	Compute the pseudo inverse of the non-square matrix C such that \( CINV = (C * C^T)^{-1} * C \) based on a conjugate gradient method. More...
template<typename TMatrix , typename CMatrix , typename VectorX , typename VectorB , typename VectorF >
void	constrained_cg (const TMatrix &A, const CMatrix &C, VectorX &x, const VectorB &b, const VectorF &f, IterationController &iter)
	Constrained conjugate gradient. More...
template<typename VectorType , typename IndexType >
void	sortWithPermutation (VectorType &vec, IndexType &perm, typename IndexType::Scalar &ncut)
	Computes a permutation vector to have a sorted sequence. More...
template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >
bool	gmres (const MatrixType &mat, const Rhs &rhs, Dest &x, const Preconditioner &precond, Index &iters, const Index &restart, typename Dest::RealScalar &tol_error)
	Generalized Minimal Residual Algorithm based on the Arnoldi algorithm implemented with Householder reflections. More...
template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >
EIGEN_DONT_INLINE void	minres (const MatrixType &mat, const Rhs &rhs, Dest &x, const Preconditioner &precond, Index &iters, typename Dest::RealScalar &tol_error)
template<typename QRSolver , typename VectorType >
void	lmpar2 (const QRSolver &qr, const VectorType &diag, const VectorType &qtb, typename VectorType::Scalar m_delta, typename VectorType::Scalar &par, VectorType &x)
template<typename Scalar >
void	covar (Matrix< Scalar, Dynamic, Dynamic > &r, const VectorXi &ipvt, Scalar tol=std::sqrt(NumTraits< Scalar >::epsilon()))
template<typename Scalar , int Rows, int Cols, typename PermIndex >
void	lmqrsolv (Matrix< Scalar, Rows, Cols > &s, const PermutationMatrix< Dynamic, Dynamic, PermIndex > &iPerm, const Matrix< Scalar, Dynamic, 1 > &diag, const Matrix< Scalar, Dynamic, 1 > &qtb, Matrix< Scalar, Dynamic, 1 > &x, Matrix< Scalar, Dynamic, 1 > &sdiag)
template<typename Scalar , int _Options, typename Index >
void	lmqrsolv (SparseMatrix< Scalar, _Options, Index > &s, const PermutationMatrix< Dynamic, Dynamic > &iPerm, const Matrix< Scalar, Dynamic, 1 > &diag, const Matrix< Scalar, Dynamic, 1 > &qtb, Matrix< Scalar, Dynamic, 1 > &x, Matrix< Scalar, Dynamic, 1 > &sdiag)
template<typename MatrixType >
void	matrix_exp_pade3 (const MatrixType &A, MatrixType &U, MatrixType &V)
	Compute the (3,3)-Padé approximant to the exponential. More...
template<typename MatrixType >
void	matrix_exp_pade5 (const MatrixType &A, MatrixType &U, MatrixType &V)
	Compute the (5,5)-Padé approximant to the exponential. More...
template<typename MatrixType >
void	matrix_exp_pade7 (const MatrixType &A, MatrixType &U, MatrixType &V)
	Compute the (7,7)-Padé approximant to the exponential. More...
template<typename MatrixType >
void	matrix_exp_pade9 (const MatrixType &A, MatrixType &U, MatrixType &V)
	Compute the (9,9)-Padé approximant to the exponential. More...
template<typename MatrixType >
void	matrix_exp_pade13 (const MatrixType &A, MatrixType &U, MatrixType &V)
	Compute the (13,13)-Padé approximant to the exponential. More...
template<typename MatrixType , typename ResultType >
void	matrix_exp_compute (const MatrixType &arg, ResultType &result)
template<typename MatrixType >
NumTraits< typename MatrixType::Scalar >::Real	matrix_function_compute_mu (const MatrixType &A)
template<typename Index , typename ListOfClusters >
ListOfClusters::iterator	matrix_function_find_cluster (Index key, ListOfClusters &clusters)
	Find cluster in clusters containing some value. More...
template<typename EivalsType , typename Cluster >
void	matrix_function_partition_eigenvalues (const EivalsType &eivals, std::list< Cluster > &clusters)
	Partition eigenvalues in clusters of ei'vals close to each other. More...
template<typename ListOfClusters , typename Index >
void	matrix_function_compute_cluster_size (const ListOfClusters &clusters, Matrix< Index, Dynamic, 1 > &clusterSize)
	Compute size of each cluster given a partitioning.
template<typename VectorType >
void	matrix_function_compute_block_start (const VectorType &clusterSize, VectorType &blockStart)
	Compute start of each block using clusterSize.
template<typename EivalsType , typename ListOfClusters , typename VectorType >
void	matrix_function_compute_map (const EivalsType &eivals, const ListOfClusters &clusters, VectorType &eivalToCluster)
	Compute mapping of eigenvalue indices to cluster indices.
template<typename DynVectorType , typename VectorType >
void	matrix_function_compute_permutation (const DynVectorType &blockStart, const DynVectorType &eivalToCluster, VectorType &permutation)
	Compute permutation which groups ei'vals in same cluster together.
template<typename VectorType , typename MatrixType >
void	matrix_function_permute_schur (VectorType &permutation, MatrixType &U, MatrixType &T)
	Permute Schur decomposition in U and T according to permutation.
template<typename MatrixType , typename AtomicType , typename VectorType >
void	matrix_function_compute_block_atomic (const MatrixType &T, AtomicType &atomic, const VectorType &blockStart, const VectorType &clusterSize, MatrixType &fT)
	Compute block diagonal part of matrix function. More...
template<typename MatrixType >
MatrixType	matrix_function_solve_triangular_sylvester (const MatrixType &A, const MatrixType &B, const MatrixType &C)
	Solve a triangular Sylvester equation AX + XB = C. More...
template<typename MatrixType , typename VectorType >
void	matrix_function_compute_above_diagonal (const MatrixType &T, const VectorType &blockStart, const VectorType &clusterSize, MatrixType &fT)
	Compute part of matrix function above block diagonal. More...
template<typename MatrixType >
void	matrix_log_compute_2x2 (const MatrixType &A, MatrixType &result)
	Compute logarithm of 2x2 triangular matrix. More...
int	matrix_log_get_pade_degree (float normTminusI)
int	matrix_log_get_pade_degree (double normTminusI)
int	matrix_log_get_pade_degree (long double normTminusI)
template<typename MatrixType >
void	matrix_log_compute_pade (MatrixType &result, const MatrixType &T, int degree)
template<typename MatrixType >
void	matrix_log_compute_big (const MatrixType &A, MatrixType &result)
	Compute logarithm of triangular matrices with size > 2. More...
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_2x2_diagonal_block (const MatrixType &T, typename MatrixType::Index i, ResultType &sqrtT)
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_1x1_off_diagonal_block (const MatrixType &T, typename MatrixType::Index i, typename MatrixType::Index j, ResultType &sqrtT)
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_1x2_off_diagonal_block (const MatrixType &T, typename MatrixType::Index i, typename MatrixType::Index j, ResultType &sqrtT)
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_2x1_off_diagonal_block (const MatrixType &T, typename MatrixType::Index i, typename MatrixType::Index j, ResultType &sqrtT)
template<typename MatrixType >
void	matrix_sqrt_quasi_triangular_solve_auxiliary_equation (MatrixType &X, const MatrixType &A, const MatrixType &B, const MatrixType &C)
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_2x2_off_diagonal_block (const MatrixType &T, typename MatrixType::Index i, typename MatrixType::Index j, ResultType &sqrtT)
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_diagonal (const MatrixType &T, ResultType &sqrtT)
template<typename MatrixType , typename ResultType >
void	matrix_sqrt_quasi_triangular_off_diagonal (const MatrixType &T, ResultType &sqrtT)
template<typename Scalar >
Scalar	stem_function_exp (Scalar x, int)
	The exponential function (and its derivatives). More...
template<typename Scalar >
Scalar	stem_function_cos (Scalar x, int n)
	Cosine (and its derivatives). More...
template<typename Scalar >
Scalar	stem_function_sin (Scalar x, int n)
	Sine (and its derivatives). More...
template<typename Scalar >
Scalar	stem_function_cosh (Scalar x, int n)
	Hyperbolic cosine (and its derivatives). More...
template<typename Scalar >
Scalar	stem_function_sinh (Scalar x, int n)
	Hyperbolic sine (and its derivatives). More...
template<typename Scalar >
void	chkder (const Matrix< Scalar, Dynamic, 1 > &x, const Matrix< Scalar, Dynamic, 1 > &fvec, const Matrix< Scalar, Dynamic, Dynamic > &fjac, Matrix< Scalar, Dynamic, 1 > &xp, const Matrix< Scalar, Dynamic, 1 > &fvecp, int mode, Matrix< Scalar, Dynamic, 1 > &err)
template<typename Scalar >
void	dogleg (const Matrix< Scalar, Dynamic, Dynamic > &qrfac, const Matrix< Scalar, Dynamic, 1 > &diag, const Matrix< Scalar, Dynamic, 1 > &qtb, Scalar delta, Matrix< Scalar, Dynamic, 1 > &x)
template<typename FunctorType , typename Scalar >
DenseIndex	fdjac1 (const FunctorType &Functor, Matrix< Scalar, Dynamic, 1 > &x, Matrix< Scalar, Dynamic, 1 > &fvec, Matrix< Scalar, Dynamic, Dynamic > &fjac, DenseIndex ml, DenseIndex mu, Scalar epsfcn)
template<typename Scalar >
void	lmpar (Matrix< Scalar, Dynamic, Dynamic > &r, const VectorXi &ipvt, const Matrix< Scalar, Dynamic, 1 > &diag, const Matrix< Scalar, Dynamic, 1 > &qtb, Scalar delta, Scalar &par, Matrix< Scalar, Dynamic, 1 > &x)
template<typename Scalar >
void	lmpar2 (const ColPivHouseholderQR< Matrix< Scalar, Dynamic, Dynamic > > &qr, const Matrix< Scalar, Dynamic, 1 > &diag, const Matrix< Scalar, Dynamic, 1 > &qtb, Scalar delta, Scalar &par, Matrix< Scalar, Dynamic, 1 > &x)
template<typename Scalar >
void	qrsolv (Matrix< Scalar, Dynamic, Dynamic > &s, const VectorXi &ipvt, const Matrix< Scalar, Dynamic, 1 > &diag, const Matrix< Scalar, Dynamic, 1 > &qtb, Matrix< Scalar, Dynamic, 1 > &x, Matrix< Scalar, Dynamic, 1 > &sdiag)
template<typename Scalar >
void	r1mpyq (DenseIndex m, DenseIndex n, Scalar *a, const std::vector< JacobiRotation< Scalar > > &v_givens, const std::vector< JacobiRotation< Scalar > > &w_givens)
template<typename Scalar >
void	r1updt (Matrix< Scalar, Dynamic, Dynamic > &s, const Matrix< Scalar, Dynamic, 1 > &u, std::vector< JacobiRotation< Scalar > > &v_givens, std::vector< JacobiRotation< Scalar > > &w_givens, Matrix< Scalar, Dynamic, 1 > &v, Matrix< Scalar, Dynamic, 1 > &w, bool *sing)
template<typename Scalar >
void	rwupdt (Matrix< Scalar, Dynamic, Dynamic > &r, const Matrix< Scalar, Dynamic, 1 > &w, Matrix< Scalar, Dynamic, 1 > &b, Scalar alpha)
template<typename T >
T	radix ()
template<typename T >
T	radix2 ()
template<typename Lhs , typename Rhs , typename Dest >
EIGEN_DONT_INLINE void	skyline_row_major_time_dense_product (const Lhs &lhs, const Rhs &rhs, Dest &dst)
template<typename Lhs , typename Rhs , typename Dest >
EIGEN_DONT_INLINE void	skyline_col_major_time_dense_product (const Lhs &lhs, const Rhs &rhs, Dest &dst)
template<typename Scalar >
bool	GetMarketLine (std::stringstream &line, Index &M, Index &N, Index &i, Index &j, Scalar &value)
template<typename Scalar >
bool	GetMarketLine (std::stringstream &line, Index &M, Index &N, Index &i, Index &j, std::complex< Scalar > &value)
template<typename RealScalar >
void	GetVectorElt (const std::string &line, RealScalar &val)
template<typename RealScalar >
void	GetVectorElt (const std::string &line, std::complex< RealScalar > &val)
template<typename Scalar >
void	putMarketHeader (std::string &header, int sym)
template<typename Scalar >
void	PutMatrixElt (Scalar value, int row, int col, std::ofstream &out)
template<typename Scalar >
void	PutMatrixElt (std::complex< Scalar > value, int row, int col, std::ofstream &out)
template<typename Scalar >
void	putVectorElt (Scalar value, std::ofstream &out)
template<typename Scalar >
void	putVectorElt (std::complex< Scalar > value, std::ofstream &out)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	plgamma (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pdigamma (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	pzeta (const Packet &x, const Packet &q)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	ppolygamma (const Packet &n, const Packet &x)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	perf (const Packet &a)
template<typename Packet >
EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS Packet	perfc (const Packet &a)
template<typename Packet >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet	pigamma (const Packet &a, const Packet &x)
template<typename Packet >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet	pigammac (const Packet &a, const Packet &x)
template<typename Packet >
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet	pbetainc (const Packet &a, const Packet &b, const Packet &x)

Variables
const std::ptrdiff_t	defaultL1CacheSize = 16*1024
const std::ptrdiff_t	defaultL2CacheSize = 512*1024
const std::ptrdiff_t	defaultL3CacheSize = 512*1024

Detailed Description

template <class> class MakePointer_ is added to convert the host pointer to the device pointer.

It is added due to the fact that for our device compiler T* is not allowed. If we wanted to use the same Evaluator functions we have to convert that type to our pointer T. This is done through our MakePointer_ class. By default the Type in the MakePointer_<T> is T* . Therefore, by adding the default value, we managed to convert the type and it does not break any existing code as its default value is T*.

Function Documentation

apply_rotation_in_the_plane()

template<typename VectorX , typename VectorY , typename OtherScalar >

void Eigen::internal::apply_rotation_in_the_plane	(	DenseBase< VectorX > &	xpr_x,
		DenseBase< VectorY > &	xpr_y,
		const JacobiRotation< OtherScalar > &	j
	)

Applies the clock wise 2D rotation j to the set of 2D vectors of cordinates x and y: \( \left ( \begin{array}{cc} x \\ y \end{array} \right ) = J \left ( \begin{array}{cc} x \\ y \end{array} \right ) \)

See also

MatrixBase::applyOnTheLeft(), MatrixBase::applyOnTheRight()

colamd_recommended()

template<typename IndexType >

IndexType Eigen::internal::colamd_recommended ( IndexType  nnz, IndexType  n_row, IndexType  n_col  )

inline

Returns the recommended value of Alen.

Returns recommended value of Alen for use by colamd. Returns -1 if any input argument is negative. The use of this routine or macro is optional. Note that the macro uses its arguments more than once, so be careful for side effects, if you pass expressions as arguments to COLAMD_RECOMMENDED.

Parameters

nnz	nonzeros in A
n_row	number of rows in A
n_col	number of columns in A

Returns

recommended value of Alen for use by colamd

coletree()

template<typename MatrixType , typename IndexVector >

int Eigen::internal::coletree	(	const MatrixType &	mat,
		IndexVector &	parent,
		IndexVector &	firstRowElt,
		typename MatrixType::StorageIndex *	perm = 0
	)

Compute the column elimination tree of a sparse matrix.

Parameters

mat	The matrix in column-major format.
parent	The elimination tree
firstRowElt	The column index of the first element in each row
perm	The permutation to apply to the column of mat

computeProductBlockingSizes()

template<typename LhsScalar , typename RhsScalar , int KcFactor, typename Index >

void Eigen::internal::computeProductBlockingSizes	(	Index &	k,
		Index &	m,
		Index &	n,
		Index	num_threads = 1
	)

Computes the blocking parameters for a m x k times k x n matrix product.

Parameters

[in,out]	k	Input: the third dimension of the product. Output: the blocking size along the same dimension.
[in,out]	m	Input: the number of rows of the left hand side. Output: the blocking size along the same dimension.
[in,out]	n	Input: the number of columns of the right hand side. Output: the blocking size along the same dimension.

Given a m x k times k x n matrix product of scalar types LhsScalar and RhsScalar, this function computes the blocking size parameters along the respective dimensions for matrix products and related algorithms.

The blocking size parameters may be evaluated:

• either by a heuristic based on cache sizes;
• or using fixed prescribed values (for testing purposes).

See also

setCpuCacheSizes

constrained_cg()

template<typename TMatrix , typename CMatrix , typename VectorX , typename VectorB , typename VectorF >

void Eigen::internal::constrained_cg	(	const TMatrix &	A,
		const CMatrix &	C,
		VectorX &	x,
		const VectorB &	b,
		const VectorF &	f,
		IterationController &	iter
	)

Constrained conjugate gradient.

Computes the minimum of \( 1/2((Ax).x) - bx \) under the contraint \( Cx \le f \)

gmres()

template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >

bool Eigen::internal::gmres	(	const MatrixType &	mat,
		const Rhs &	rhs,
		Dest &	x,
		const Preconditioner &	precond,
		Index &	iters,
		const Index &	restart,
		typename Dest::RealScalar &	tol_error
	)

Generalized Minimal Residual Algorithm based on the Arnoldi algorithm implemented with Householder reflections.

Parameters:

Parameters

mat	matrix of linear system of equations
Rhs	right hand side vector of linear system of equations
x	on input: initial guess, on output: solution
precond	preconditioner used
iters	on input: maximum number of iterations to perform on output: number of iterations performed
restart	number of iterations for a restart
tol_error	on input: relative residual tolerance on output: residuum achieved

See also

IterativeMethods::bicgstab()

For references, please see:

Saad, Y. and Schultz, M. H. GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems. SIAM J.Sci.Stat.Comp. 7, 1986, pp. 856 - 869.

Saad, Y. Iterative Methods for Sparse Linear Systems. Society for Industrial and Applied Mathematics, Philadelphia, 2003.

Walker, H. F. Implementations of the GMRES method. Comput.Phys.Comm. 53, 1989, pp. 311 - 320.

Walker, H. F. Implementation of the GMRES Method using Householder Transformations. SIAM J.Sci.Stat.Comp. 9, 1988, pp. 152 - 163.

matrix_exp_pade13()

template<typename MatrixType >

void Eigen::internal::matrix_exp_pade13	(	const MatrixType &	A,
		MatrixType &	U,
		MatrixType &	V
	)

Compute the (13,13)-Padé approximant to the exponential.

After exit, \( (V+U)(V-U)^{-1} \) is the Padé approximant of \( \exp(A) \) around \( A = 0 \).

matrix_exp_pade3()

template<typename MatrixType >

void Eigen::internal::matrix_exp_pade3	(	const MatrixType &	A,
		MatrixType &	U,
		MatrixType &	V
	)

Compute the (3,3)-Padé approximant to the exponential.

After exit, \( (V+U)(V-U)^{-1} \) is the Padé approximant of \( \exp(A) \) around \( A = 0 \).

matrix_exp_pade5()

template<typename MatrixType >

void Eigen::internal::matrix_exp_pade5	(	const MatrixType &	A,
		MatrixType &	U,
		MatrixType &	V
	)

Compute the (5,5)-Padé approximant to the exponential.

After exit, \( (V+U)(V-U)^{-1} \) is the Padé approximant of \( \exp(A) \) around \( A = 0 \).

matrix_exp_pade7()

template<typename MatrixType >

void Eigen::internal::matrix_exp_pade7	(	const MatrixType &	A,
		MatrixType &	U,
		MatrixType &	V
	)

Compute the (7,7)-Padé approximant to the exponential.

After exit, \( (V+U)(V-U)^{-1} \) is the Padé approximant of \( \exp(A) \) around \( A = 0 \).

matrix_exp_pade9()

template<typename MatrixType >

void Eigen::internal::matrix_exp_pade9	(	const MatrixType &	A,
		MatrixType &	U,
		MatrixType &	V
	)

Compute the (9,9)-Padé approximant to the exponential.

After exit, \( (V+U)(V-U)^{-1} \) is the Padé approximant of \( \exp(A) \) around \( A = 0 \).

matrix_function_compute_above_diagonal()

template<typename MatrixType , typename VectorType >

void Eigen::internal::matrix_function_compute_above_diagonal	(	const MatrixType &	T,
		const VectorType &	blockStart,
		const VectorType &	clusterSize,
		MatrixType &	fT
	)

Compute part of matrix function above block diagonal.

This routine completes the computation of fT, denoting a matrix function applied to the triangular matrix T. It assumes that the block diagonal part of fT has already been computed. The part below the diagonal is zero, because T is upper triangular.

matrix_function_compute_block_atomic()

template<typename MatrixType , typename AtomicType , typename VectorType >

void Eigen::internal::matrix_function_compute_block_atomic	(	const MatrixType &	T,
		AtomicType &	atomic,
		const VectorType &	blockStart,
		const VectorType &	clusterSize,
		MatrixType &	fT
	)

Compute block diagonal part of matrix function.

This routine computes the matrix function applied to the block diagonal part of T (which should be upper triangular), with the blocking given by blockStart and clusterSize. The matrix function of each diagonal block is computed by atomic. The off-diagonal parts of fT are set to zero.

matrix_function_find_cluster()

template<typename Index , typename ListOfClusters >

ListOfClusters::iterator Eigen::internal::matrix_function_find_cluster	(	Index	key,
		ListOfClusters &	clusters
	)

Find cluster in clusters containing some value.

Parameters

[in]

key

Value to find

Returns

Iterator to cluster containing key, or clusters.end() if no cluster in m_clusters contains key.

matrix_function_partition_eigenvalues()

template<typename EivalsType , typename Cluster >

void Eigen::internal::matrix_function_partition_eigenvalues	(	const EivalsType &	eivals,
		std::list< Cluster > &	clusters
	)

Partition eigenvalues in clusters of ei'vals close to each other.

Parameters

[in]	eivals	Eigenvalues
[out]	clusters	Resulting partition of eigenvalues

The partition satisfies the following two properties:

Any eigenvalue in a certain cluster is at most matrix_function_separation() away from another eigenvalue

in the same cluster.

The distance between two eigenvalues in different clusters is more than matrix_function_separation().

The implementation follows Algorithm 4.1 in the paper of Davies and Higham.

matrix_function_solve_triangular_sylvester()

template<typename MatrixType >

MatrixType Eigen::internal::matrix_function_solve_triangular_sylvester	(	const MatrixType &	A,
		const MatrixType &	B,
		const MatrixType &	C
	)

Solve a triangular Sylvester equation AX + XB = C.

Parameters

[in]	A	the matrix A; should be square and upper triangular
[in]	B	the matrix B; should be square and upper triangular
[in]	C	the matrix C; should have correct size.

Returns

the solution X.

If A is m-by-m and B is n-by-n, then both C and X are m-by-n. The (i,j)-th component of the Sylvester equation is

\[ \sum_{k=i}^m A_{ik} X_{kj} + \sum_{k=1}^j X_{ik} B_{kj} = C_{ij}. \]

This can be re-arranged to yield:

\[ X_{ij} = \frac{1}{A_{ii} + B_{jj}} \Bigl( C_{ij} - \sum_{k=i+1}^m A_{ik} X_{kj} - \sum_{k=1}^{j-1} X_{ik} B_{kj} \Bigr). \]

It is assumed that A and B are such that the numerator is never zero (otherwise the Sylvester equation does not have a unique solution). In that case, these equations can be evaluated in the order \( i=m,\ldots,1 \) and \( j=1,\ldots,n \).

matrix_log_compute_2x2()

template<typename MatrixType >

void Eigen::internal::matrix_log_compute_2x2	(	const MatrixType &	A,
		MatrixType &	result
	)

Compute logarithm of 2x2 triangular matrix.

matrix_log_compute_big()

template<typename MatrixType >

void Eigen::internal::matrix_log_compute_big	(	const MatrixType &	A,
		MatrixType &	result
	)

Compute logarithm of triangular matrices with size > 2.

This uses a inverse scale-and-square algorithm.

nr_etdfs()

template<typename IndexVector >

void Eigen::internal::nr_etdfs	(	typename IndexVector::Scalar	n,
		IndexVector &	parent,
		IndexVector &	first_kid,
		IndexVector &	next_kid,
		IndexVector &	post,
		typename IndexVector::Scalar	postnum
	)

Depth-first search from vertex n.

No recursion. This routine was contributed by Cédric Doucet, CEDRAT Group, Meylan, France.

pseudo_inverse()

template<typename CMatrix , typename CINVMatrix >

void Eigen::internal::pseudo_inverse	(	const CMatrix &	C,
		CINVMatrix &	CINV
	)

Compute the pseudo inverse of the non-square matrix C such that \( CINV = (C * C^T)^{-1} * C \) based on a conjugate gradient method.

This function is internally used by constrained_cg.

rcond_estimate_helper()

template<typename Decomposition >

Decomposition::RealScalar Eigen::internal::rcond_estimate_helper	(	typename Decomposition::RealScalar	matrix_norm,
		const Decomposition &	dec
	)

Reciprocal condition number estimator.

Computing a decomposition of a dense matrix takes O(n^3) operations, while this method estimates the condition number quickly and reliably in O(n^2) operations.

Returns

an estimate of the reciprocal condition number (1 / (||matrix||_1 * ||inv(matrix)||_1)) of matrix, given ||matrix||_1 and its decomposition. Supports the following decompositions: FullPivLU, PartialPivLU, LDLT, and LLT.

See also

FullPivLU, PartialPivLU, LDLT, LLT.

rcond_invmatrix_L1_norm_estimate()

template<typename Decomposition >

Decomposition::RealScalar Eigen::internal::rcond_invmatrix_L1_norm_estimate

(

const Decomposition &

dec

)

Returns

an estimate of ||inv(matrix)||_1 given a decomposition of matrix that implements .solve() and .adjoint().solve() methods.

This function implements Algorithms 4.1 and 5.1 from http://www.maths.manchester.ac.uk/~higham/narep/narep135.pdf which also forms the basis for the condition number estimators in LAPACK. Since at most 10 calls to the solve method of dec are performed, the total cost is O(dims^2), as opposed to O(dims^3) needed to compute the inverse matrix explicitly.

The most common usage is in estimating the condition number ||matrix||_1 * ||inv(matrix)||_1. The first term ||matrix||_1 can be computed directly in O(n^2) operations.

Supports the following decompositions: FullPivLU, PartialPivLU, LDLT, and LLT.

See also

FullPivLU, PartialPivLU, LDLT, LLT.

sortWithPermutation()

template<typename VectorType , typename IndexType >

void Eigen::internal::sortWithPermutation	(	VectorType &	vec,
		IndexType &	perm,
		typename IndexType::Scalar &	ncut
	)

Computes a permutation vector to have a sorted sequence.

Parameters

vec	The vector to reorder.
perm	gives the sorted sequence on output. Must be initialized with 0..n-1
ncut	Put the ncut smallest elements at the end of the vector WARNING This is an expensive sort, so should be used only for small size vectors TODO Use modified QuickSplit or std::nth_element to get the smallest values

stem_function_cos()

template<typename Scalar >

Scalar Eigen::internal::stem_function_cos	(	Scalar	x,
		int	n
	)

Cosine (and its derivatives).

stem_function_cosh()

template<typename Scalar >

Scalar Eigen::internal::stem_function_cosh	(	Scalar	x,
		int	n
	)

Hyperbolic cosine (and its derivatives).

stem_function_exp()

template<typename Scalar >

Scalar Eigen::internal::stem_function_exp	(	Scalar	x,
		int
	)

The exponential function (and its derivatives).

stem_function_sin()

template<typename Scalar >

Scalar Eigen::internal::stem_function_sin	(	Scalar	x,
		int	n
	)

Sine (and its derivatives).

stem_function_sinh()

template<typename Scalar >

Scalar Eigen::internal::stem_function_sinh	(	Scalar	x,
		int	n
	)

Hyperbolic sine (and its derivatives).

treePostorder()

template<typename IndexVector >

void Eigen::internal::treePostorder	(	typename IndexVector::Scalar	n,
		IndexVector &	parent,
		IndexVector &	post
	)

Post order a tree.

Parameters

n	the number of nodes
parent	Input tree
post	postordered tree

tridiagonalization_inplace()

template<typename MatrixType , typename DiagonalType , typename SubDiagonalType >

void Eigen::internal::tridiagonalization_inplace	(	MatrixType &	mat,
		DiagonalType &	diag,
		SubDiagonalType &	subdiag,
		bool	extractQ
	)

Performs a full tridiagonalization in place.

Parameters

[in,out]	mat	On input, the selfadjoint matrix whose tridiagonal decomposition is to be computed. Only the lower triangular part referenced. The rest is left unchanged. On output, the orthogonal matrix Q in the decomposition if extractQ is true.
[out]	diag	The diagonal of the tridiagonal matrix T in the decomposition.
[out]	subdiag	The subdiagonal of the tridiagonal matrix T in the decomposition.
[in]	extractQ	If true, the orthogonal matrix Q in the decomposition is computed and stored in mat.

Computes the tridiagonal decomposition of the selfadjoint matrix mat in place such that \( mat = Q T Q^* \) where \( Q \) is unitary and \( T \) a real symmetric tridiagonal matrix.

The tridiagonal matrix T is passed to the output parameters diag and subdiag. If extractQ is true, then the orthogonal matrix Q is passed to mat. Otherwise the lower part of the matrix mat is destroyed.

The vectors diag and subdiag are not resized. The function assumes that they are already of the correct size. The length of the vector diag should equal the number of rows in mat, and the length of the vector subdiag should be one left.

This implementation contains an optimized path for 3-by-3 matrices which is especially useful for plane fitting.

Note

Currently, it requires two temporary vectors to hold the intermediate Householder coefficients, and to reconstruct the matrix Q from the Householder reflectors.

Example (this uses the same matrix as the example in Tridiagonalization::Tridiagonalization(const MatrixType&)):

Output:

See also

class Tridiagonalization