Eigen::internal Namespace Reference

Classes
struct	abs2_impl
struct	abs2_impl< std::complex< RealScalar > >
struct	abs2_retval
struct	accessors_level
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_unroller
struct	all_unroller< Derived, 1 >
struct	all_unroller< Derived, Dynamic >
struct	always_void
class	AmbiVector
struct	any_unroller
struct	any_unroller< Derived, 1 >
struct	any_unroller< Derived, Dynamic >
struct	assign_DefaultTraversal_CompleteUnrolling
struct	assign_DefaultTraversal_CompleteUnrolling< Derived1, Derived2, Stop, Stop >
struct	assign_DefaultTraversal_InnerUnrolling
struct	assign_DefaultTraversal_InnerUnrolling< Derived1, Derived2, Stop, Stop >
struct	assign_impl
struct	assign_impl< Derived1, Derived2, DefaultTraversal, CompleteUnrolling, Version >
struct	assign_impl< Derived1, Derived2, DefaultTraversal, InnerUnrolling, Version >
struct	assign_impl< Derived1, Derived2, DefaultTraversal, NoUnrolling, Version >
struct	assign_impl< Derived1, Derived2, InnerVectorizedTraversal, CompleteUnrolling, Version >
struct	assign_impl< Derived1, Derived2, InnerVectorizedTraversal, InnerUnrolling, Version >
struct	assign_impl< Derived1, Derived2, InnerVectorizedTraversal, NoUnrolling, Version >
struct	assign_impl< Derived1, Derived2, InvalidTraversal, Unrolling, Version >
struct	assign_impl< Derived1, Derived2, LinearTraversal, CompleteUnrolling, Version >
struct	assign_impl< Derived1, Derived2, LinearTraversal, NoUnrolling, Version >
struct	assign_impl< Derived1, Derived2, LinearVectorizedTraversal, CompleteUnrolling, Version >
struct	assign_impl< Derived1, Derived2, LinearVectorizedTraversal, NoUnrolling, Version >
struct	assign_impl< Derived1, Derived2, SliceVectorizedTraversal, NoUnrolling, Version >
struct	assign_innervec_CompleteUnrolling
struct	assign_innervec_CompleteUnrolling< Derived1, Derived2, Stop, Stop >
struct	assign_innervec_InnerUnrolling
struct	assign_innervec_InnerUnrolling< Derived1, Derived2, Stop, Stop >
struct	assign_LinearTraversal_CompleteUnrolling
struct	assign_LinearTraversal_CompleteUnrolling< Derived1, Derived2, Stop, Stop >
struct	assign_selector
struct	assign_selector< Derived, OtherDerived, false, false >
struct	assign_selector< Derived, OtherDerived, false, true >
struct	assign_selector< Derived, OtherDerived, true, false >
struct	assign_selector< Derived, OtherDerived, true, true >
struct	assign_traits
struct	atanh2_default_impl
struct	atanh2_default_impl< Scalar, true >
struct	atanh2_impl
struct	atanh2_retval
class	BandMatrix
	Represents a rectangular matrix with a banded storage. More...
class	BandMatrixBase
class	BandMatrixWrapper
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)>
class	blas_data_mapper
struct	blas_traits
struct	blas_traits< const T >
struct	blas_traits< CwiseUnaryOp< scalar_conjugate_op< Scalar >, NestedXpr > >
struct	blas_traits< CwiseUnaryOp< scalar_multiple_op< Scalar >, NestedXpr > >
struct	blas_traits< CwiseUnaryOp< scalar_opposite_op< Scalar >, NestedXpr > >
struct	blas_traits< SelfCwiseBinaryOp< BinOp, NestedXpr, Rhs > >
struct	blas_traits< Transpose< NestedXpr > >
class	BlockImpl_dense
class	BlockImpl_dense< XprType, BlockRows, BlockCols, InnerPanel, true >
struct	cast_impl
struct	cast_return_type
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	coeff_visitor
struct	colamd_col
struct	Colamd_Row
struct	column_dfs_traits
struct	complex_schur_reduce_to_hessenberg
struct	complex_schur_reduce_to_hessenberg< MatrixType, false >
class	CompressedStorage
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
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< 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< Packet4f, Packet2cf, 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	conj_impl
struct	conj_impl< Scalar, true >
struct	conj_retval
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	cross3_impl
struct	cross3_impl< Architecture::SSE, VectorLhs, VectorRhs, float, true >
struct	decrement_size
struct	default_packet_traits
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	direct_selfadjoint_eigenvalues
struct	direct_selfadjoint_eigenvalues< SolverType, 2, false >
struct	direct_selfadjoint_eigenvalues< SolverType, 3, false >
struct	dot_nocheck
struct	dot_nocheck< T, U, true >
struct	eigenvalues_selector
struct	eigenvalues_selector< Derived, false >
struct	enable_if
struct	enable_if< true, T >
struct	eval
struct	eval< Array< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Dense >
struct	eval< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols >, Dense >
struct	eval< T, Dense >
struct	eval< T, Sparse >
struct	extract_data_selector
struct	extract_data_selector< T, false >
struct	false_type
struct	first_aligned_impl
struct	first_aligned_impl< Derived, false >
struct	floor_log2
struct	floor_log2< n, lower, upper, floor_log2_bogus >
struct	floor_log2< n, lower, upper, floor_log2_move_down >
struct	floor_log2< n, lower, upper, floor_log2_move_up >
struct	floor_log2< n, lower, upper, floor_log2_terminate >
struct	floor_log2_selector
struct	FullPivHouseholderQRMatrixQReturnType
	Expression type for return value of FullPivHouseholderQR::matrixQ() More...
struct	functor_has_linear_access
struct	functor_has_linear_access< scalar_identity_op< Scalar > >
struct	functor_is_product_like
struct	functor_is_product_like< scalar_conj_product_op< LhsScalar, RhsScalar > >
struct	functor_is_product_like< scalar_product_op< LhsScalar, RhsScalar > >
struct	functor_is_product_like< scalar_quotient_op< LhsScalar, RhsScalar > >
struct	functor_traits
struct	functor_traits< linspaced_op< Scalar, RandomAccess > >
struct	functor_traits< max_coeff_visitor< Scalar > >
struct	functor_traits< min_coeff_visitor< 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_add_op< Scalar > >
struct	functor_traits< scalar_asin_op< Scalar > >
struct	functor_traits< scalar_binary_pow_op< Scalar, OtherScalar > >
struct	functor_traits< scalar_boolean_and_op >
struct	functor_traits< scalar_boolean_or_op >
struct	functor_traits< scalar_cast_op< Scalar, NewType > >
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_cube_op< Scalar > >
struct	functor_traits< scalar_difference_op< Scalar > >
struct	functor_traits< scalar_exp_op< Scalar > >
struct	functor_traits< scalar_hypot_op< Scalar > >
struct	functor_traits< scalar_identity_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_log_op< Scalar > >
struct	functor_traits< scalar_max_op< Scalar > >
struct	functor_traits< scalar_min_op< Scalar > >
struct	functor_traits< scalar_multiple2_op< Scalar1, Scalar2 > >
struct	functor_traits< scalar_multiple_op< Scalar > >
struct	functor_traits< scalar_opposite_op< Scalar > >
struct	functor_traits< scalar_pow_op< Scalar > >
struct	functor_traits< scalar_product_op< LhsScalar, RhsScalar > >
struct	functor_traits< scalar_quotient1_op< Scalar > >
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_sin_op< Scalar > >
struct	functor_traits< scalar_sqrt_op< Scalar > >
struct	functor_traits< scalar_square_op< Scalar > >
struct	functor_traits< scalar_sum_op< Scalar > >
struct	functor_traits< scalar_tan_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	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_rhs
struct	gemm_pack_rhs< Scalar, Index, nr, ColMajor, Conjugate, PanelMode >
struct	gemm_pack_rhs< Scalar, Index, nr, RowMajor, Conjugate, PanelMode >
struct	GemmParallelInfo
struct	gemv_selector
struct	gemv_selector< OnTheLeft, StorageOrder, BlasCompatible >
struct	gemv_selector< OnTheRight, ColMajor, false >
struct	gemv_selector< OnTheRight, ColMajor, true >
struct	gemv_selector< OnTheRight, RowMajor, false >
struct	gemv_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	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, ColMajor, ConjugateLhs, RhsScalar, ConjugateRhs, Version >
struct	general_matrix_vector_product< Index, LhsScalar, RowMajor, ConjugateLhs, RhsScalar, ConjugateRhs, Version >
struct	general_matrix_vector_product_gemv
struct	get_factor
struct	get_factor< Scalar, typename NumTraits< Scalar >::Real >
struct	global_math_functions_filtering_base
struct	global_math_functions_filtering_base< T, typename always_void< typename T::Eigen_BaseClassForSpecializationOfGlobalMathFuncImpl >::type >
struct	has_direct_access
struct	has_none
struct	has_std_result_type
struct	has_tr1_result
struct	HessenbergDecompositionMatrixHReturnType
	Expression type for return value of HessenbergDecomposition::matrixH() More...
struct	homogeneous_left_product_impl
struct	homogeneous_left_product_impl< Homogeneous< MatrixType, Vertical >, Lhs >
struct	homogeneous_right_product_impl
struct	homogeneous_right_product_impl< Homogeneous< MatrixType, Horizontal >, Rhs >
struct	hseq_side_dependent_impl
struct	hseq_side_dependent_impl< VectorsType, CoeffsType, OnTheRight >
struct	hypot_impl
struct	hypot_retval
struct	imag_default_impl
struct	imag_default_impl< Scalar, true >
struct	imag_impl
struct	imag_ref_default_impl
struct	imag_ref_default_impl< Scalar, false >
struct	imag_ref_impl
struct	imag_ref_retval
struct	imag_retval
struct	image_retval
struct	image_retval< FullPivLU< _MatrixType > >
class	image_retval_base
struct	inner_stride_at_compile_time
struct	inner_stride_at_compile_time< Derived, false >
struct	inplace_transpose_selector
struct	inplace_transpose_selector< MatrixType, false >
struct	inplace_transpose_selector< MatrixType, true >
struct	inverse_impl
struct	is_arithmetic
struct	is_arithmetic< __m128 >
struct	is_arithmetic< __m128d >
struct	is_arithmetic< __m128i >
struct	is_arithmetic< bool >
struct	is_arithmetic< char >
struct	is_arithmetic< double >
struct	is_arithmetic< float >
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_diagonal
struct	is_diagonal< DiagonalBase< T > >
struct	is_diagonal< DiagonalMatrix< T, S > >
struct	is_diagonal< DiagonalWrapper< T > >
struct	is_lvalue
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	kernel_retval
struct	kernel_retval< FullPivLU< _MatrixType > >
class	kernel_retval_base
struct	ldlt_inplace
struct	ldlt_inplace< Lower >
struct	ldlt_inplace< Upper >
struct	LDLT_Traits
struct	LDLT_Traits< MatrixType, Lower >
struct	LDLT_Traits< MatrixType, Upper >
class	level3_blocking
struct	linspaced_op
struct	linspaced_op_impl
struct	linspaced_op_impl< Scalar, false >
struct	linspaced_op_impl< Scalar, 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	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
	Performs numeric block updates from a given supernode to a single column. More...
struct	LU_kernel_bmod< 1 >
class	make_proper_matrix_type
class	MappedSuperNodalMatrix
	a class to manipulate the L supernodal factor from the SparseLU factorization More...
struct	matrix_swap_impl
struct	matrix_swap_impl< MatrixTypeA, MatrixTypeB, true >
struct	matrix_type_times_scalar_type
struct	max_coeff_visitor
struct	member_redux
class	meta_sqrt
class	meta_sqrt< Y, InfX, SupX, true >
struct	min_coeff_visitor
struct	mkl_llt
struct	must_nest_by_value
struct	nested
struct	nested< CoeffBasedProduct< Lhs, Rhs, EvalBeforeNestingBit|EvalBeforeAssigningBit >, N, PlainObject >
struct	nested< GeneralProduct< Lhs, Rhs, Mode >, N, PlainObject >
struct	nested< ReturnByValue< Derived >, n, PlainObject >
class	no_assignment_operator
class	noncopyable
struct	norm1_default_impl
struct	norm1_default_impl< Scalar, false >
struct	norm1_impl
struct	norm1_retval
struct	outer_stride_at_compile_time
struct	outer_stride_at_compile_time< Derived, false >
struct	Packet1cd
struct	Packet2cf
struct	packet_traits
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	palign_impl
struct	palign_impl< Offset, Packet1cd >
struct	palign_impl< Offset, Packet2cf >
struct	palign_impl< Offset, Packet2d >
struct	palign_impl< Offset, Packet4f >
struct	palign_impl< Offset, Packet4i >
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	permut_matrix_product_retval
struct	permut_sparsematrix_product_retval
struct	plain_array
struct	plain_array< T, 0, MatrixOrArrayOptions, Alignment >
struct	plain_array< T, Size, MatrixOrArrayOptions, 16 >
struct	plain_col_type
struct	plain_diag_type
struct	plain_matrix_type
struct	plain_matrix_type< T, Dense >
struct	plain_matrix_type< T, Sparse >
struct	plain_matrix_type_column_major
struct	plain_matrix_type_dense
struct	plain_matrix_type_dense< T, ArrayXpr >
struct	plain_matrix_type_dense< T, MatrixXpr >
struct	plain_matrix_type_row_major
struct	plain_row_type
struct	pow_default_impl
struct	pow_default_impl< Scalar, true >
struct	pow_impl
struct	pow_retval
struct	product_coeff_impl
struct	product_coeff_impl< DefaultTraversal, 0, Lhs, Rhs, RetScalar >
struct	product_coeff_impl< DefaultTraversal, Dynamic, Lhs, Rhs, RetScalar >
struct	product_coeff_impl< DefaultTraversal, UnrollingIndex, Lhs, Rhs, RetScalar >
struct	product_coeff_impl< InnerVectorizedTraversal, Dynamic, Lhs, Rhs, RetScalar >
struct	product_coeff_impl< InnerVectorizedTraversal, UnrollingIndex, Lhs, Rhs, RetScalar >
struct	product_coeff_vectorized_dyn_selector
struct	product_coeff_vectorized_dyn_selector< Lhs, Rhs, 1, 1 >
struct	product_coeff_vectorized_dyn_selector< Lhs, Rhs, 1, RhsCols >
struct	product_coeff_vectorized_dyn_selector< Lhs, Rhs, LhsRows, 1 >
struct	product_coeff_vectorized_unroller
struct	product_coeff_vectorized_unroller< 0, Lhs, Rhs, Packet >
struct	product_packet_impl
struct	product_packet_impl< ColMajor, 0, Lhs, Rhs, Packet, LoadMode >
struct	product_packet_impl< ColMajor, Dynamic, Lhs, Rhs, Packet, LoadMode >
struct	product_packet_impl< ColMajor, UnrollingIndex, Lhs, Rhs, Packet, LoadMode >
struct	product_packet_impl< RowMajor, 0, Lhs, Rhs, Packet, LoadMode >
struct	product_packet_impl< RowMajor, Dynamic, Lhs, Rhs, Packet, LoadMode >
struct	product_packet_impl< RowMajor, UnrollingIndex, Lhs, Rhs, Packet, LoadMode >
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, 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, 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_storage_type
struct	promote_storage_type< A, A >
struct	promote_storage_type< Dense, Sparse >
struct	promote_storage_type< Sparse, Dense >
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_product
struct	quat_product< Architecture::SSE, Derived, OtherDerived, double, Aligned >
struct	quat_product< Architecture::SSE, Derived, OtherDerived, float, Aligned >
struct	quaternionbase_assign_impl
struct	quaternionbase_assign_impl< Other, 3, 3 >
struct	quaternionbase_assign_impl< Other, 4, 1 >
struct	random_default_impl
struct	random_default_impl< Scalar, false, false >
struct	random_default_impl< Scalar, false, true >
struct	random_default_impl< Scalar, true, false >
struct	random_impl
struct	random_impl< bool >
struct	random_retval
struct	real_default_impl
struct	real_default_impl< Scalar, true >
struct	real_impl
struct	real_ref_impl
struct	real_ref_retval
struct	real_retval
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, NoUnrolling >
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	reverse_packet_cond
struct	reverse_packet_cond< PacketScalar, 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_add_op
struct	scalar_asin_op
struct	scalar_binary_pow_op
struct	scalar_boolean_and_op
struct	scalar_boolean_or_op
struct	scalar_cast_op
struct	scalar_conj_product_op
struct	scalar_conjugate_op
struct	scalar_constant_op
struct	scalar_cos_op
struct	scalar_cube_op
struct	scalar_difference_op
struct	scalar_exp_op
struct	scalar_fuzzy_default_impl
struct	scalar_fuzzy_default_impl< Scalar, false, false >
struct	scalar_fuzzy_default_impl< Scalar, false, true >
struct	scalar_fuzzy_default_impl< Scalar, true, false >
struct	scalar_fuzzy_impl
struct	scalar_fuzzy_impl< bool >
struct	scalar_hypot_op
struct	scalar_identity_op
struct	scalar_imag_op
struct	scalar_imag_ref_op
struct	scalar_inverse_mult_op
struct	scalar_inverse_op
struct	scalar_log_op
struct	scalar_max_op
struct	scalar_min_op
struct	scalar_multiple2_op
struct	scalar_multiple_op
struct	scalar_opposite_op
struct	scalar_pow_op
struct	scalar_product_op
struct	scalar_product_traits
struct	scalar_product_traits< std::complex< T >, T >
struct	scalar_product_traits< T, std::complex< T > >
struct	scalar_product_traits< T, T >
struct	scalar_quotient1_op
struct	scalar_quotient_op
struct	scalar_random_op
struct	scalar_real_op
struct	scalar_real_ref_op
struct	scalar_sin_op
struct	scalar_sqrt_op
struct	scalar_square_op
struct	scalar_sum_op
struct	scalar_tan_op
struct	selfadjoint_matrix_vector_product
struct	selfadjoint_matrix_vector_product_symv
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_default_impl
struct	significant_decimals_default_impl< Scalar, true >
struct	significant_decimals_impl
struct	size_at_compile_time
struct	smart_copy_helper
struct	smart_copy_helper< T, false >
struct	smart_copy_helper< T, true >
struct	solve_retval
struct	solve_retval< BiCGSTAB< _MatrixType, _Preconditioner >, Rhs >
struct	solve_retval< CholmodBase< _MatrixType, _UpLo, Derived >, Rhs >
struct	solve_retval< ColPivHouseholderQR< _MatrixType >, Rhs >
struct	solve_retval< ConjugateGradient< _MatrixType, _UpLo, _Preconditioner >, Rhs >
struct	solve_retval< DiagonalPreconditioner< _MatrixType >, Rhs >
struct	solve_retval< FullPivHouseholderQR< _MatrixType >, Rhs >
struct	solve_retval< FullPivLU< _MatrixType >, Rhs >
struct	solve_retval< HouseholderQR< _MatrixType >, Rhs >
struct	solve_retval< IncompleteLUT< _MatrixType >, Rhs >
struct	solve_retval< JacobiSVD< _MatrixType, QRPreconditioner >, Rhs >
struct	solve_retval< LDLT< _MatrixType, _UpLo >, Rhs >
struct	solve_retval< LLT< _MatrixType, UpLo >, Rhs >
struct	solve_retval< PardisoImpl< _Derived >, Rhs >
struct	solve_retval< PartialPivLU< _MatrixType >, Rhs >
struct	solve_retval< PastixBase< _MatrixType >, Rhs >
struct	solve_retval< SimplicialCholeskyBase< Derived >, Rhs >
struct	solve_retval< SparseLU< _MatrixType, Derived >, Rhs >
struct	solve_retval< SparseQR< _MatrixType, OrderingType >, Rhs >
struct	solve_retval< SPQR< _MatrixType >, Rhs >
struct	solve_retval< SuperLUBase< _MatrixType, Derived >, Rhs >
struct	solve_retval< UmfPackLU< _MatrixType >, Rhs >
class	solve_retval_base
struct	solve_retval_with_guess
class	sparse_cwise_binary_op_inner_iterator_selector
class	sparse_cwise_binary_op_inner_iterator_selector< BinaryOp, Lhs, Rhs, Derived, Sparse, Sparse >
class	sparse_cwise_binary_op_inner_iterator_selector< scalar_product_op< T >, Lhs, Rhs, Derived, Dense, Sparse >
class	sparse_cwise_binary_op_inner_iterator_selector< scalar_product_op< T >, Lhs, Rhs, Derived, Sparse, Dense >
class	sparse_cwise_binary_op_inner_iterator_selector< scalar_product_op< T >, Lhs, Rhs, Derived, Sparse, Sparse >
class	sparse_diagonal_product_inner_iterator_selector
class	sparse_diagonal_product_inner_iterator_selector< Lhs, Rhs, SparseDiagonalProductType, SDP_IsDiagonal, SDP_IsSparseColMajor >
class	sparse_diagonal_product_inner_iterator_selector< Lhs, Rhs, SparseDiagonalProductType, SDP_IsDiagonal, SDP_IsSparseRowMajor >
class	sparse_diagonal_product_inner_iterator_selector< Lhs, Rhs, SparseDiagonalProductType, SDP_IsSparseColMajor, SDP_IsDiagonal >
class	sparse_diagonal_product_inner_iterator_selector< Lhs, Rhs, SparseDiagonalProductType, SDP_IsSparseRowMajor, SDP_IsDiagonal >
struct	sparse_eval
struct	sparse_eval< T, 1, 1 >
struct	sparse_eval< T, 1, Cols >
struct	sparse_eval< T, Rows, 1 >
struct	sparse_solve_retval
struct	sparse_solve_retval< CholmodBase< _MatrixType, _UpLo, Derived >, Rhs >
struct	sparse_solve_retval< IterativeSolverBase< Derived >, Rhs >
struct	sparse_solve_retval< PardisoImpl< Derived >, Rhs >
struct	sparse_solve_retval< PastixBase< _MatrixType >, Rhs >
struct	sparse_solve_retval< SimplicialCholeskyBase< Derived >, Rhs >
struct	sparse_solve_retval< SparseLU< _MatrixType, Derived >, Rhs >
struct	sparse_solve_retval< SparseQR< _MatrixType, OrderingType >, Rhs >
struct	sparse_solve_retval< SuperLUBase< _MatrixType, Derived >, Rhs >
struct	sparse_solve_retval< UmfPackLU< _MatrixType >, Rhs >
struct	sparse_solve_retval_base
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, RowMajor, RowMajor, ColMajor >
struct	sparse_sparse_product_with_pruning_selector< Lhs, Rhs, ResultType, RowMajor, RowMajor, RowMajor >
struct	sparse_time_dense_product_impl
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, ColMajor, false >
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, ColMajor, true >
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, RowMajor, false >
struct	sparse_time_dense_product_impl< SparseLhsType, DenseRhsType, DenseResType, 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
struct	special_scalar_op_base
struct	special_scalar_op_base< Derived, Scalar, OtherScalar, true >
struct	static_assertion
struct	static_assertion< true >
struct	stem_function
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	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	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< BiCGSTAB< _MatrixType, _Preconditioner > >
struct	traits< Block< XprType, BlockRows, BlockCols, InnerPanel > >
struct	traits< CoeffBasedProduct< LhsNested, RhsNested, NestingFlags > >
struct	traits< ConjugateGradient< _MatrixType, _UpLo, _Preconditioner > >
struct	traits< const T >
struct	traits< CwiseBinaryOp< BinaryOp, Lhs, Rhs > >
struct	traits< CwiseNullaryOp< NullaryOp, PlainObjectType > >
struct	traits< CwiseUnaryOp< UnaryOp, XprType > >
struct	traits< CwiseUnaryView< ViewOp, MatrixType > >
struct	traits< DenseTimeSparseProduct< Lhs, Rhs > >
struct	traits< DenseTimeSparseSelfAdjointProduct< Lhs, Rhs, UpLo > >
struct	traits< Diagonal< const SparseMatrix< _Scalar, _Options, _Index >, DiagIndex > >
struct	traits< Diagonal< MatrixType, DiagIndex > >
struct	traits< DiagonalMatrix< _Scalar, SizeAtCompileTime, MaxSizeAtCompileTime > >
struct	traits< DiagonalProduct< MatrixType, DiagonalType, ProductOrder > >
struct	traits< DiagonalWrapper< _DiagonalVectorType > >
struct	traits< Flagged< ExpressionType, Added, Removed > >
struct	traits< ForceAlignedAccess< ExpressionType > >
struct	traits< FullPivHouseholderQRMatrixQReturnType< MatrixType > >
struct	traits< GeneralProduct< Lhs, Rhs, GemmProduct > >
struct	traits< GeneralProduct< Lhs, Rhs, GemvProduct > >
struct	traits< GeneralProduct< Lhs, Rhs, InnerProduct > >
struct	traits< GeneralProduct< Lhs, Rhs, OuterProduct > >
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_impl< MatrixType > >
struct	traits< kernel_retval_base< DecompositionType > >
struct	traits< Map< const Quaternion< _Scalar >, _Options > >
struct	traits< Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess > >
struct	traits< Map< PlainObjectType, MapOptions, StrideType > >
struct	traits< Map< Quaternion< _Scalar >, _Options > >
struct	traits< Map< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess > >
struct	traits< MappedSparseMatrix< _Scalar, _Flags, _Index > >
struct	traits< Matrix< _Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols > >
struct	traits< MatrixWrapper< ExpressionType > >
struct	traits< Minor< MatrixType > >
struct	traits< NestByValue< ExpressionType > >
struct	traits< PartialReduxExpr< MatrixType, MemberOp, Direction > >
struct	traits< permut_matrix_product_retval< PermutationType, MatrixType, Side, Transposed > >
struct	traits< permut_sparsematrix_product_retval< PermutationType, MatrixType, Side, Transposed > >
struct	traits< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >
struct	traits< PermutationWrapper< _IndicesType > >
struct	traits< ProductBase< Derived, _Lhs, _Rhs > >
struct	traits< Quaternion< _Scalar, _Options > >
struct	traits< Ref< _PlainObjectType, _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< ScaledProduct< NestedProduct > >
struct	traits< Select< ConditionMatrixType, ThenMatrixType, ElseMatrixType > >
struct	traits< SelfadjointProductMatrix< Lhs, 0, true, Rhs, RhsMode, false > >
struct	traits< SelfadjointProductMatrix< Lhs, LhsMode, false, Rhs, 0, true > >
struct	traits< SelfadjointProductMatrix< Lhs, LhsMode, false, Rhs, RhsMode, false > >
struct	traits< SelfAdjointView< MatrixType, UpLo > >
struct	traits< SelfCwiseBinaryOp< BinaryOp, Lhs, Rhs > >
struct	traits< SimplicialCholesky< _MatrixType, _UpLo > >
struct	traits< SimplicialLDLT< _MatrixType, _UpLo > >
struct	traits< SimplicialLLT< _MatrixType, _UpLo > >
struct	traits< solve_retval_base< DecompositionType, Rhs > >
struct	traits< solve_retval_with_guess< DecompositionType, Rhs, Guess > >
struct	traits< sparse_solve_retval_base< DecompositionType, Rhs > >
struct	traits< SparseDenseOuterProduct< Lhs, Rhs, Tr > >
struct	traits< SparseDiagonalProduct< Lhs, Rhs > >
struct	traits< SparseMatrix< _Scalar, _Options, _Index > >
struct	traits< SparseQR_QProduct< SparseQRType, Derived > >
struct	traits< SparseQRMatrixQReturnType< SparseQRType > >
struct	traits< SparseQRMatrixQTransposeReturnType< SparseQRType > >
struct	traits< SparseSelfAdjointTimeDenseProduct< Lhs, Rhs, UpLo > >
struct	traits< SparseSelfAdjointView< MatrixType, UpLo > >
struct	traits< SparseSparseProduct< LhsNested, RhsNested > >
struct	traits< SparseSymmetricPermutationProduct< MatrixType, UpLo > >
struct	traits< SparseTimeDenseProduct< Lhs, Rhs > >
struct	traits< SparseTriangularView< MatrixType, Mode > >
struct	traits< SparseVector< _Scalar, _Options, _Index > >
struct	traits< SparseView< MatrixType > >
struct	traits< SPQR_QProduct< SPQRType, Derived > >
struct	traits< SPQRMatrixQReturnType< SPQRType > >
struct	traits< SPQRMatrixQTransposeReturnType< SPQRType > >
struct	traits< SwapWrapper< ExpressionType > >
struct	traits< Transpose< MatrixType > >
struct	traits< Transpose< PermutationBase< Derived > > >
struct	traits< transposition_matrix_product_retval< TranspositionType, MatrixType, Side, Transposed > >
struct	traits< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >
struct	traits< TranspositionsWrapper< _IndicesType > >
struct	traits< triangular_solve_retval< Side, TriangularType, Rhs > >
struct	traits< TriangularProduct< Mode, LhsIsTriangular, Lhs, false, Rhs, false > >
struct	traits< TriangularProduct< Mode, LhsIsTriangular, Lhs, false, Rhs, true > >
struct	traits< TriangularProduct< Mode, LhsIsTriangular, Lhs, true, Rhs, false > >
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_product_result
struct	transform_right_product_impl
struct	transform_right_product_impl< TransformType, MatrixType, 0 >
struct	transform_right_product_impl< TransformType, MatrixType, 1 >
struct	transform_right_product_impl< TransformType, MatrixType, 2 >
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_retval
struct	triangular_assignment_selector
struct	triangular_assignment_selector< Derived1, Derived2, Lower, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, Mode, 0, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, SelfAdjoint|Lower, 0, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, SelfAdjoint|Lower, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, SelfAdjoint|Upper, 0, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, SelfAdjoint|Upper, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, StrictlyLower, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, StrictlyUpper, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, UnitLower, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, UnitUpper, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2, Upper, Dynamic, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2,(SelfAdjoint|Lower), UnrollCount, ClearOpposite >
struct	triangular_assignment_selector< Derived1, Derived2,(SelfAdjoint|Upper), UnrollCount, ClearOpposite >
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_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, Index, Size, false >
struct	triangular_solver_unroller< Lhs, Rhs, Mode, Index, 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	trmv_selector
struct	trmv_selector< ColMajor >
struct	trmv_selector< RowMajor >
class	trsolve_traits
struct	true_type
struct	umeyama_transform_matrix_type
struct	unaligned_assign_impl
struct	unaligned_assign_impl< false >
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)>
struct	unitOrthogonal_selector
struct	unitOrthogonal_selector< Derived, 2 >
struct	unitOrthogonal_selector< Derived, 3 >
struct	unpacket_traits
struct	unpacket_traits< Packet1cd >
struct	unpacket_traits< Packet2cf >
struct	unpacket_traits< Packet2d >
struct	unpacket_traits< Packet4f >
struct	unpacket_traits< Packet4i >
class	UpperBidiagonalization
class	variable_if_dynamic
class	variable_if_dynamic< T, Dynamic >
class	variable_if_dynamicindex
class	variable_if_dynamicindex< T, DynamicIndex >
struct	visitor_impl
struct	visitor_impl< Visitor, Derived, 1 >
struct	visitor_impl< Visitor, Derived, Dynamic >
struct	vml_assign_impl
struct	vml_assign_impl< Derived1, Derived2, UnaryOp, Traversal, Unrolling, InnerVectorizedTraversal >
struct	vml_assign_impl< Derived1, Derived2, UnaryOp, Traversal, Unrolling, LinearVectorizedTraversal >
class	vml_assign_traits
struct	vml_call

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 __m128d	Packet2d

Enumerations
enum	{ floor_log2_terminate, floor_log2_move_up, floor_log2_move_down, floor_log2_bogus }
enum	PermPermProduct_t { PermPermProduct }
enum	{ SDP_IsDiagonal, SDP_IsSparseRowMajor, SDP_IsSparseColMajor }
enum	{ SVA_RuntimeSwitch, SVA_Inner, SVA_Outer }
enum	{ LUNoMarker = 3 }
enum	{ emptyIdxLU = -1 }
enum	MemType {   LUSUP, UCOL, LSUB, USUB,   LLVL, ULVL }
enum	{ PreconditionIfMoreColsThanRows, PreconditionIfMoreRowsThanCols }

Functions
template<typename MatrixType , typename VectorType >
static MatrixType::Index	llt_rank_update_lower (MatrixType &mat, const VectorType &vec, const typename MatrixType::RealScalar &sigma)
template<typename Scalar , typename CholmodType >
void	cholmod_configure_matrix (CholmodType &mat)
template<>
EIGEN_STRONG_INLINE Packet2cf	pset1< Packet2cf > (const std::complex< float > &from)
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 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_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)
static	_EIGEN_DECLARE_CONST_FAST_Packet4f (ZERO, 0)
static	_EIGEN_DECLARE_CONST_FAST_Packet4i (ZERO, 0)
static	_EIGEN_DECLARE_CONST_FAST_Packet4i (ONE, 1)
static	_EIGEN_DECLARE_CONST_FAST_Packet4i (MINUS16,-16)
static	_EIGEN_DECLARE_CONST_FAST_Packet4i (MINUS1,-1)
template<>
EIGEN_STRONG_INLINE Packet4f	pset1< Packet4f > (const float &from)
template<>
EIGEN_STRONG_INLINE Packet4i	pset1< Packet4i > (const int &from)
template<>
EIGEN_STRONG_INLINE Packet4f	plset< float > (const float &a)
template<>
EIGEN_STRONG_INLINE Packet4i	plset< int > (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 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	pload< Packet4f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4i	pload< Packet4i > (const int *from)
template<>
EIGEN_STRONG_INLINE Packet4f	ploadu< Packet4f > (const float *from)
template<>
EIGEN_STRONG_INLINE Packet4i	ploadu< Packet4i > (const int *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	pstore< float > (float *to, const Packet4f &from)
template<>
EIGEN_STRONG_INLINE void	pstore< int > (int *to, const Packet4i &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< float > (float *to, const Packet4f &from)
template<>
EIGEN_STRONG_INLINE void	pstoreu< int > (int *to, const Packet4i &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)
template<>
EIGEN_STRONG_INLINE Packet4i	pmul< Packet4i > (const Packet4i &a, const Packet4i &b)
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_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 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_STRONG_INLINE Packet2d	pset1< Packet2d > (const double &from)
template<>
EIGEN_STRONG_INLINE Packet2d	plset< double > (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_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 void	prefetch< double > (const double *addr)
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)
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)
static void	check_DenseIndex_is_signed ()
template<typename Derived >
static Derived::Index	first_aligned (const Derived &m)
template<typename ProductType , typename Dest , typename Func >
EIGEN_DONT_INLINE void	outer_product_selector_run (const ProductType &prod, Dest &dest, const Func &func, const false_type &)
template<typename ProductType , typename Dest , typename Func >
EIGEN_DONT_INLINE void	outer_product_selector_run (const ProductType &prod, Dest &dest, const Func &func, const true_type &)
template<typename Packet >
Packet	padd (const Packet &a, const Packet &b)
template<typename Packet >
Packet	psub (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pnegate (const Packet &a)
template<typename Packet >
Packet	pconj (const Packet &a)
template<typename Packet >
Packet	pmul (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pdiv (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pmin (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pmax (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pabs (const Packet &a)
template<typename Packet >
Packet	pand (const Packet &a, const Packet &b)
template<typename Packet >
Packet	por (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pxor (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pandnot (const Packet &a, const Packet &b)
template<typename Packet >
Packet	pload (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
Packet	ploadu (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
Packet	ploaddup (const typename unpacket_traits< Packet >::type *from)
template<typename Packet >
Packet	pset1 (const typename unpacket_traits< Packet >::type &a)
template<typename Scalar >
packet_traits< Scalar >::type	plset (const Scalar &a)
template<typename Scalar , typename Packet >
void	pstore (Scalar *to, const Packet &from)
template<typename Scalar , typename Packet >
void	pstoreu (Scalar *to, const Packet &from)
template<typename Scalar >
void	prefetch (const Scalar *addr)
template<typename Packet >
unpacket_traits< Packet >::type	pfirst (const Packet &a)
template<typename Packet >
Packet	preduxp (const Packet *vecs)
template<typename Packet >
unpacket_traits< Packet >::type	predux (const Packet &a)
template<typename Packet >
unpacket_traits< Packet >::type	predux_mul (const Packet &a)
template<typename Packet >
unpacket_traits< Packet >::type	predux_min (const Packet &a)
template<typename Packet >
unpacket_traits< Packet >::type	predux_max (const Packet &a)
template<typename Packet >
Packet	preverse (const Packet &a)
template<typename Packet >
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	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	psqrt (const Packet &a)
template<typename Packet >
void	pstore1 (typename unpacket_traits< Packet >::type *to, const typename unpacket_traits< Packet >::type &a)
template<typename Packet >
Packet	pmadd (const Packet &a, const Packet &b, const Packet &c)
template<typename Packet , int LoadMode>
Packet	ploadt (const typename unpacket_traits< Packet >::type *from)
template<typename Scalar , typename Packet , int LoadMode>
void	pstoret (Scalar *to, const Packet &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 Derived >
std::ostream &	print_matrix (std::ostream &s, const Derived &_m, const IOFormat &fmt)
template<typename OldType , typename NewType >
NewType	cast (const OldType &x)
template<typename Scalar >
	EIGEN_MATHFUNC_RETVAL (random, Scalar) random(const Scalar &x
template<typename Scalar , typename OtherScalar >
bool	isMuchSmallerThan (const Scalar &x, const OtherScalar &y, typename NumTraits< Scalar >::Real precision=NumTraits< Scalar >::dummy_precision())
template<typename Scalar >
bool	isApprox (const Scalar &x, const Scalar &y, typename NumTraits< Scalar >::Real precision=NumTraits< Scalar >::dummy_precision())
template<typename Scalar >
bool	isApproxOrLessThan (const Scalar &x, const Scalar &y, typename NumTraits< Scalar >::Real precision=NumTraits< Scalar >::dummy_precision())
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=0, std::ptrdiff_t *l2=0)
template<typename LhsScalar , typename RhsScalar , int KcFactor, typename SizeType >
void	computeProductBlockingSizes (SizeType &k, SizeType &m, SizeType &n)
	Computes the blocking parameters for a m x k times k x n matrix product. More...
template<typename LhsScalar , typename RhsScalar , typename SizeType >
void	computeProductBlockingSizes (SizeType &k, SizeType &m, SizeType &n)
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)
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, 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<typename T >
const T::Scalar *	extract_data (const T &m)
bool	copy_bool (bool b)
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)
void *	aligned_malloc (std::size_t size)
void	aligned_free (void *ptr)
void *	generic_aligned_realloc (void *ptr, size_t size, size_t old_size)
void	check_that_malloc_is_allowed ()
void *	aligned_malloc (size_t size)
void *	aligned_realloc (void *ptr, size_t new_size, size_t old_size)
template<bool Align>
void *	conditional_aligned_malloc (size_t size)
template<>
void *	conditional_aligned_malloc< false > (size_t size)
template<bool Align>
void	conditional_aligned_free (void *ptr)
template<>
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 >
T *	construct_elements_of_array (T *ptr, size_t size)
template<typename T >
void	destruct_elements_of_array (T *ptr, size_t size)
template<typename T >
EIGEN_ALWAYS_INLINE void	check_size_for_overflow (size_t size)
template<typename T >
T *	aligned_new (size_t size)
template<typename T , bool Align>
T *	conditional_aligned_new (size_t size)
template<typename T >
void	aligned_delete (T *ptr, size_t size)
template<typename T , bool Align>
void	conditional_aligned_delete (T *ptr, size_t size)
template<typename T , bool Align>
T *	conditional_aligned_realloc_new (T *pts, size_t new_size, size_t old_size)
template<typename T , bool Align>
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>
void	conditional_aligned_delete_auto (T *ptr, size_t size)
template<typename Scalar , typename Index >
static Index	first_aligned (const Scalar *array, Index size)
template<typename Index >
static Index	first_multiple (Index size, Index base)
template<typename T >
void	smart_copy (const T *start, const T *end, T *target)
void	queryCacheSizes (int &l1, int &l2, int &l3)
int	queryL1CacheSize ()
int	queryTopLevelCacheSize ()
template<typename T >
T *	const_cast_ptr (const T *ptr)
	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<int StorageOrder, typename RealScalar , typename Scalar , typename Index >
static void	tridiagonal_qr_step (RealScalar *diag, RealScalar *subdiag, Index start, Index end, Scalar *matrixQ, Index n)
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 Scalar , int Dim>
static Matrix< Scalar, 2, 2 >	toRotationMatrix (const Scalar &s)
template<typename Scalar , int Dim, typename OtherDerived >
static Matrix< Scalar, Dim, Dim >	toRotationMatrix (const RotationBase< OtherDerived, Dim > &r)
template<typename Scalar , int Dim, typename OtherDerived >
static const MatrixBase< OtherDerived > &	toRotationMatrix (const MatrixBase< OtherDerived > &mat)
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)
template<typename MatrixType , typename Rhs , typename Dest , typename Preconditioner >
bool	bicgstab (const MatrixType &mat, const Rhs &rhs, Dest &x, const Preconditioner &precond, int &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, int &iters, typename Dest::RealScalar &tol_error)
template<typename VectorV , typename VectorI , typename Index >
Index	QuickSplit (VectorV &row, VectorI &ind, Index ncut)
template<typename VectorX , typename VectorY , typename OtherScalar >
void	apply_rotation_in_the_plane (VectorX &_x, VectorY &_y, const JacobiRotation< OtherScalar > &j)
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 >
void	compute_inverse_size2_helper (const MatrixType &matrix, const typename ResultType::Scalar &invdet, ResultType &result)
template<typename MatrixType , int i, int j>
MatrixType::Scalar	cofactor_3x3 (const MatrixType &m)
template<typename MatrixType , typename ResultType >
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 >
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>
MatrixType::Scalar	cofactor_4x4 (const MatrixType &matrix)
template<typename MatrixType , typename TranspositionType >
void	partial_lu_inplace (MatrixType &lu, TranspositionType &row_transpositions, typename TranspositionType::Index &nb_transpositions)
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 Index >
static int	cs_wclear (Index mark, Index lemax, Index *w, Index n)
template<typename Index >
Index	cs_tdfs (Index j, Index k, Index *head, const Index *next, Index *post, Index *stack)
template<typename Scalar , typename Index >
void	minimum_degree_ordering (SparseMatrix< Scalar, ColMajor, Index > &C, PermutationMatrix< Dynamic, Dynamic, Index > &perm)
template<typename Index >
Index	colamd_c (Index n_col)
template<typename Index >
Index	colamd_r (Index n_row)
template<typename Index >
static Index	init_rows_cols (Index n_row, Index n_col, Colamd_Row< Index > Row[], colamd_col< Index > col[], Index A[], Index p[], Index stats[COLAMD_STATS])
template<typename Index >
static void	init_scoring (Index n_row, Index n_col, Colamd_Row< Index > Row[], colamd_col< Index > Col[], Index A[], Index head[], double knobs[COLAMD_KNOBS], Index *p_n_row2, Index *p_n_col2, Index *p_max_deg)
template<typename Index >
static Index	find_ordering (Index n_row, Index n_col, Index Alen, Colamd_Row< Index > Row[], colamd_col< Index > Col[], Index A[], Index head[], Index n_col2, Index max_deg, Index pfree)
template<typename Index >
static void	order_children (Index n_col, colamd_col< Index > Col[], Index p[])
template<typename Index >
static void	detect_super_cols (colamd_col< Index > Col[], Index A[], Index head[], Index row_start, Index row_length)
template<typename Index >
static Index	garbage_collection (Index n_row, Index n_col, Colamd_Row< Index > Row[], colamd_col< Index > Col[], Index A[], Index *pfree)
template<typename Index >
static Index	clear_mark (Index n_row, Colamd_Row< Index > Row[])
template<typename Index >
Index	colamd_recommended (Index nnz, Index n_row, Index n_col)
	Returns the recommended value of Alen. More...
static void	colamd_set_defaults (double knobs[COLAMD_KNOBS])
	set default parameters The use of this routine is optional. More...
template<typename Index >
static bool	colamd (Index n_row, Index n_col, Index Alen, Index *A, Index *p, double knobs[COLAMD_KNOBS], Index stats[COLAMD_STATS])
	Computes a column ordering using the column approximate minimum degree ordering. More...
template<typename MatrixType >
void	ordering_helper_at_plus_a (const MatrixType &mat, 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 MatrixQR , typename HCoeffs >
void	householder_qr_inplace_blocked (MatrixQR &mat, HCoeffs &hCoeffs, typename MatrixQR::Index maxBlockSize=32, typename MatrixQR::Scalar *tempData=0)
template<typename Lhs , typename Rhs , typename ResultType >
static void	conservative_sparse_sparse_product_impl (const Lhs &lhs, const Rhs &rhs, ResultType &res)
template<typename Index , typename IndexVector >
Index	etree_find (Index i, IndexVector &pp)
template<typename MatrixType , typename IndexVector >
int	coletree (const MatrixType &mat, IndexVector &parent, IndexVector &firstRowElt, typename MatrixType::Index *perm=0)
template<typename Index , typename IndexVector >
void	nr_etdfs (Index n, IndexVector &parent, IndexVector &first_kid, IndexVector &next_kid, IndexVector &post, Index postnum)
template<typename Index , typename IndexVector >
void	treePostorder (Index 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 >
void	set_from_triplets (const InputIterator &begin, const InputIterator &end, SparseMatrixType &mat, int Options=0)
template<int SrcUpLo, int DstUpLo, typename MatrixType , int DestOrder>
void	permute_symm_to_symm (const MatrixType &mat, SparseMatrix< typename MatrixType::Scalar, DestOrder, typename MatrixType::Index > &_dest, const typename MatrixType::Index *perm=0)
template<int UpLo, typename MatrixType , int DestOrder>
void	permute_symm_to_fullsymm (const MatrixType &mat, SparseMatrix< typename MatrixType::Scalar, DestOrder, typename MatrixType::Index > &_dest, const typename MatrixType::Index *perm=0)
template<int _SrcUpLo, int _DstUpLo, typename MatrixType , int DstOrder>
void	permute_symm_to_symm (const MatrixType &mat, SparseMatrix< typename MatrixType::Scalar, DstOrder, typename MatrixType::Index > &_dest, const typename MatrixType::Index *perm)
template<typename Lhs , typename Rhs , typename ResultType >
static void	sparse_sparse_product_with_pruning_impl (const Lhs &lhs, const Rhs &rhs, ResultType &res, const typename ResultType::RealScalar &tolerance)
template<typename Scalar , typename Index >
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)
template<typename Index >
Index	LUnumTempV (Index &m, Index &w, Index &t, Index &b)
template<typename Scalar , typename Index >
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)
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)

Variables
static Packet4ui	p4ui_CONJ_XOR = vec_mergeh((Packet4ui)p4i_ZERO, (Packet4ui)p4f_ZERO_)
static Packet16uc	p16uc_COMPLEX_RE = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 2), 8)
static Packet16uc	p16uc_COMPLEX_IM = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 1), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 3), 8)
static Packet16uc	p16uc_COMPLEX_REV = vec_sld(p16uc_REVERSE, p16uc_REVERSE, 8)
static Packet16uc	p16uc_COMPLEX_REV2 = vec_sld(p16uc_FORWARD, p16uc_FORWARD, 8)
static Packet16uc	p16uc_PSET_HI = (Packet16uc) vec_mergeh((Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 1))
static Packet16uc	p16uc_PSET_LO = (Packet16uc) vec_mergeh((Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 2), (Packet4ui) vec_splat((Packet4ui)p16uc_FORWARD, 3))
static Packet4f	p4f_COUNTDOWN = { 3.0, 2.0, 1.0, 0.0 }
static Packet4i	p4i_COUNTDOWN = { 3, 2, 1, 0 }
static Packet16uc	p16uc_REVERSE = {12,13,14,15, 8,9,10,11, 4,5,6,7, 0,1,2,3}
static Packet16uc	p16uc_FORWARD = vec_lvsl(0, (float*)0)
static Packet16uc	p16uc_DUPLICATE = {0,1,2,3, 0,1,2,3, 4,5,6,7, 4,5,6,7}
static Packet4f	p4f_ONE = vec_ctf(p4i_ONE, 0)
static Packet4f	p4f_ZERO_ = (Packet4f) vec_sl((Packet4ui)p4i_MINUS1, (Packet4ui)p4i_MINUS1)
static uint32x4_t	p4ui_CONJ_XOR = EIGEN_INIT_NEON_PACKET4(0x00000000, 0x80000000, 0x00000000, 0x80000000)
static uint32x2_t	p2ui_CONJ_XOR = EIGEN_INIT_NEON_PACKET2(0x00000000, 0x80000000)
const Scalar &	y

Detailed Description

Applies the clock wise 2D rotation j to the set of 2D vectors of cordinates x and y:

See also

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

Function Documentation

template<typename Index >

static bool Eigen::internal::colamd ( Index  n_row, Index  n_col, Index  Alen, Index *  A, Index *  p, double  knobs[COLAMD_KNOBS], Index  stats[COLAMD_STATS]  )

static

Computes a column ordering using the column approximate minimum degree ordering.

Computes a column ordering (Q) of A such that P(AQ)=LU or (AQ)'AQ=LL' have less fill-in and require fewer floating point operations than factorizing the unpermuted matrix A or A'A, respectively.

Parameters

n_row	number of rows in A
n_col	number of columns in A
Alen,size	of the array A
A	row indices of the matrix, of size ALen
p	column pointers of A, of size n_col+1
knobs	parameter settings for colamd
stats	colamd output statistics and error codes

Definition at line 330 of file Ordering.h.

template<typename Index >

Index Eigen::internal::colamd_recommended ( Index  nnz, Index  n_row, Index  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

Definition at line 265 of file Ordering.h.

static void Eigen::internal::colamd_set_defaults ( double  knobs[COLAMD_KNOBS] )

inlinestatic

set default parameters The use of this routine is optional.

Colamd: rows with more than (knobs [COLAMD_DENSE_ROW] * n_col) entries are removed prior to ordering. Columns with more than (knobs [COLAMD_DENSE_COL] * n_row) entries are removed prior to ordering, and placed last in the output column ordering.

COLAMD_DENSE_ROW and COLAMD_DENSE_COL are defined as 0 and 1, respectively, in colamd.h. Default values of these two knobs are both 0.5. Currently, only knobs [0] and knobs [1] are used, but future versions may use more knobs. If so, they will be properly set to their defaults by the future version of colamd_set_defaults, so that the code that calls colamd will not need to change, assuming that you either use colamd_set_defaults, or pass a (double *) NULL pointer as the knobs array to colamd or symamd.

Parameters

knobs

parameter settings for colamd

Definition at line 294 of file Ordering.h.

template<typename MatrixType , typename IndexVector >

int Eigen::internal::coletree	(	const MatrixType &	mat,
		IndexVector &	parent,
		IndexVector &	firstRowElt,
		typename MatrixType::Index *	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

Definition at line 61 of file SparseColEtree.h.

{
  typedef typename MatrixType::Index Index;
  Index nc = mat.cols(); // Number of columns 
  Index m = mat.rows();
  IndexVector root(nc); // root of subtree of etree 
  root.setZero();
  IndexVector pp(nc); // disjoint sets 
  pp.setZero(); // Initialize disjoint sets 
  parent.resize(mat.cols());
  //Compute first nonzero column in each row 
  Index row,col; 
  firstRowElt.resize(m);
  firstRowElt.setConstant(nc);
  firstRowElt.segment(0, nc).setLinSpaced(nc, 0, nc-1);
  bool found_diag;
  for (col = 0; col < nc; col++)
  {
    Index pcol = col;
    if(perm) pcol  = perm[col];
    for (typename MatrixType::InnerIterator it(mat, pcol); it; ++it)
    { 
      row = it.row();
      firstRowElt(row) = (std::min)(firstRowElt(row), col);
    }
  }
  /* Compute etree by Liu's algorithm for symmetric matrices,
          except use (firstRowElt[r],c) in place of an edge (r,c) of A.
    Thus each row clique in A'*A is replaced by a star
    centered at its first vertex, which has the same fill. */
  Index rset, cset, rroot; 
  for (col = 0; col < nc; col++) 
  {
    found_diag = false;
    pp(col) = col; 
    cset = col; 
    root(cset) = col; 
    parent(col) = nc; 
    /* The diagonal element is treated here even if it does not exist in the matrix
     * hence the loop is executed once more */ 
    Index pcol = col;
    if(perm) pcol  = perm[col];
    for (typename MatrixType::InnerIterator it(mat, pcol); it||!found_diag; ++it)
    { //  A sequence of interleaved find and union is performed 
      Index i = col;
      if(it) i = it.index();
      if (i == col) found_diag = true;
      row = firstRowElt(i);
      if (row >= col) continue; 
      rset = internal::etree_find(row, pp); // Find the name of the set containing row
      rroot = root(rset);
      if (rroot != col) 
      {
        parent(rroot) = col; 
        pp(cset) = rset; 
        cset = rset; 
        root(cset) = col; 
      }
    }
  }
  return 0;  
}

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

void Eigen::internal::computeProductBlockingSizes	(	SizeType &	k,
		SizeType &	m,
		SizeType &	n
	)

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 sizes depends on various parameters:

• the L1 and L2 cache sizes,
• the register level blocking sizes defined by gebp_traits,
• the number of scalars that fit into a packet (when vectorization is enabled).

See also

setCpuCacheSizes

Definition at line 73 of file GeneralBlockPanelKernel.h.

{
  EIGEN_UNUSED_VARIABLE(n);
  // Explanations:
  // Let's recall the product algorithms form kc x nc horizontal panels B' on the rhs and
  // mc x kc blocks A' on the lhs. A' has to fit into L2 cache. Moreover, B' is processed
  // per kc x nr vertical small panels where nr is the blocking size along the n dimension
  // at the register level. For vectorization purpose, these small vertical panels are unpacked,
  // e.g., each coefficient is replicated to fit a packet. This small vertical panel has to
  // stay in L1 cache.
  std::ptrdiff_t l1, l2;

  typedef gebp_traits<LhsScalar,RhsScalar> Traits;
  enum {
    kdiv = KcFactor * 2 * Traits::nr
         * Traits::RhsProgress * sizeof(RhsScalar),
    mr = gebp_traits<LhsScalar,RhsScalar>::mr,
    mr_mask = (0xffffffff/mr)*mr
  };

  manage_caching_sizes(GetAction, &l1, &l2);
  k = std::min<SizeType>(k, l1/kdiv);
  SizeType _m = k>0 ? l2/(4 * sizeof(LhsScalar) * k) : 0;
  if(_m<m) m = _m & mr_mask;
}

template<typename Index , typename IndexVector >

Index Eigen::internal::etree_find	(	Index	i,
		IndexVector &	pp
	)

Find the root of the tree/set containing the vertex i : Use Path halving

Definition at line 40 of file SparseColEtree.h.

{
  Index p = pp(i); // Parent 
  Index gp = pp(p); // Grand parent 
  while (gp != p) 
  {
    pp(i) = gp; // Parent pointer on find path is changed to former grand parent
    i = gp; 
    p = pp(i);
    gp = pp(p);
  }
  return p; 
}

template<typename Scalar , int Flags, typename Index >

MappedSparseMatrix<Scalar,Flags,Index> Eigen::internal::map_superlu

(

SluMatrix &

sluMat

)

View a Super LU matrix as an Eigen expression

Definition at line 272 of file SuperLUSupport.h.

{
  eigen_assert((Flags&RowMajor)==RowMajor && sluMat.Stype == SLU_NR
         || (Flags&ColMajor)==ColMajor && sluMat.Stype == SLU_NC);

  Index outerSize = (Flags&RowMajor)==RowMajor ? sluMat.ncol : sluMat.nrow;

  return MappedSparseMatrix<Scalar,Flags,Index>(
    sluMat.nrow, sluMat.ncol, sluMat.storage.outerInd[outerSize],
    sluMat.storage.outerInd, sluMat.storage.innerInd, reinterpret_cast<Scalar*>(sluMat.storage.values) );
}

template<typename Index , typename IndexVector >

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

Depth-first search from vertex n. No recursion. This routine was contributed by Cédric Doucet, CEDRAT Group, Meylan, France.

Definition at line 129 of file SparseColEtree.h.

{
  Index current = n, first, next;
  while (postnum != n) 
  {
    // No kid for the current node
    first = first_kid(current);
    
    // no kid for the current node
    if (first == -1) 
    {
      // Numbering this node because it has no kid 
      post(current) = postnum++;
      
      // looking for the next kid 
      next = next_kid(current); 
      while (next == -1) 
      {
        // No more kids : back to the parent node
        current = parent(current); 
        // numbering the parent node 
        post(current) = postnum++;
        
        // Get the next kid 
        next = next_kid(current); 
      }
      // stopping criterion 
      if (postnum == n+1) return; 
      
      // Updating current node 
      current = next; 
    }
    else 
    {
      current = first; 
    }
  }
}

template<typename Index , typename IndexVector >

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

Post order a tree.

Parameters

n	the number of nodes
parent	Input tree
post	postordered tree

Definition at line 176 of file SparseColEtree.h.

{
  IndexVector first_kid, next_kid; // Linked list of children 
  Index postnum; 
  // Allocate storage for working arrays and results 
  first_kid.resize(n+1); 
  next_kid.setZero(n+1);
  post.setZero(n+1);
  
  // Set up structure describing children
  Index v, dad; 
  first_kid.setConstant(-1); 
  for (v = n-1; v >= 0; v--) 
  {
    dad = parent(v);
    next_kid(v) = first_kid(dad); 
    first_kid(dad) = v; 
  }
  
  // Depth-first search from dummy root vertex #n
  postnum = 0; 
  internal::nr_etdfs(n, parent, first_kid, next_kid, post, postnum);
}

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 where is unitary and 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

Definition at line 427 of file Tridiagonalization.h.

{
  eigen_assert(mat.cols()==mat.rows() && diag.size()==mat.rows() && subdiag.size()==mat.rows()-1);
  tridiagonalization_inplace_selector<MatrixType>::run(mat, diag, subdiag, extractQ);
}

Variable Documentation

const Scalar & Eigen::internal::y

Initial value:

{
  return EIGEN_MATHFUNC_IMPL(random, Scalar)::run(x, y)

Definition at line 433 of file MathFunctions.h.